----- Otter 3.3f, August 2004 ----- The process was started by mccune on gyro.thornwood, Mon Aug 2 15:31:16 2004 The command was "../../bin/otter". The process ID is 8995. make_evaluable(_-_,$DIFF(_,_)). make_evaluable(_+_,$SUM(_,_)). make_evaluable(_==_,$EQ(_,_)). set(hyper_res). set(prolog_style_variables). assign(max_proofs,-1). set(sos_stack). clear(print_kept). clear(demod_history). list(usable). 1 [] -board(B)| -pick(New_col)| -$TRUE(ok(B,1,New_col))|board([New_col|B]). 2 [] pick(1). 3 [] pick(2). 4 [] pick(3). 5 [] pick(4). 6 [] pick(5). 7 [] pick(6). 8 [] pick(7). 9 [] pick(8). end_of_list. list(sos). 10 [] board([]). end_of_list. list(passive). 11 [] -board([X1,X2,X3,X4,X5,X6,X7,X8])|$Ans([X1,X2,X3,X4,X5,X6,X7,X8]). end_of_list. list(demodulators). 12 [] ok([],X,Y)=$T. 13 [] ok([H|T],Rows_back,New_col)=$IF(H==New_col,$F,$IF(H-Rows_back==New_col,$F,$IF(H+Rows_back==New_col,$F,ok(T,Rows_back+1,New_col)))). end_of_list. ======= end of input processing ======= =========== start of search =========== given clause #1: (wt=2) 10 [] board([]). given clause #2: (wt=4) 21 [hyper,10,1,2,eval] board([1]). given clause #3: (wt=6) 27 [hyper,21,1,4,eval] board([3,1]). given clause #4: (wt=8) 31 [hyper,27,1,6,eval] board([5,3,1]). given clause #5: (wt=10) 34 [hyper,31,1,3,eval] board([2,5,3,1]). given clause #6: (wt=12) 36 [hyper,34,1,5,eval] board([4,2,5,3,1]). given clause #7: (wt=12) 35 [hyper,34,1,9,eval] board([8,2,5,3,1]). given clause #8: (wt=10) 33 [hyper,31,1,8,eval] board([7,5,3,1]). given clause #9: (wt=12) 38 [hyper,33,1,3,eval] board([2,7,5,3,1]). given clause #10: (wt=14) 39 [hyper,38,1,5,eval] board([4,2,7,5,3,1]). given clause #11: (wt=16) 40 [hyper,39,1,7,eval] board([6,4,2,7,5,3,1]). given clause #12: (wt=12) 37 [hyper,33,1,5,eval] board([4,7,5,3,1]). given clause #13: (wt=10) 32 [hyper,31,1,9,eval] board([8,5,3,1]). given clause #14: (wt=12) 42 [hyper,32,1,3,eval] board([2,8,5,3,1]). given clause #15: (wt=14) 43 [hyper,42,1,5,eval] board([4,2,8,5,3,1]). given clause #16: (wt=16) 44 [hyper,43,1,7,eval] board([6,4,2,8,5,3,1]). given clause #17: (wt=12) 41 [hyper,32,1,5,eval] board([4,8,5,3,1]). given clause #18: (wt=8) 30 [hyper,27,1,7,eval] board([6,3,1]). given clause #19: (wt=10) 46 [hyper,30,1,3,eval] board([2,6,3,1]). given clause #20: (wt=12) 47 [hyper,46,1,8,eval] board([7,2,6,3,1]). given clause #21: (wt=14) 48 [hyper,47,1,6,eval] board([5,7,2,6,3,1]). given clause #22: (wt=10) 45 [hyper,30,1,9,eval] board([8,6,3,1]). given clause #23: (wt=12) 49 [hyper,45,1,3,eval] board([2,8,6,3,1]). given clause #24: (wt=14) 51 [hyper,49,1,5,eval] board([4,2,8,6,3,1]). given clause #25: (wt=14) 50 [hyper,49,1,6,eval] board([5,2,8,6,3,1]). given clause #26: (wt=8) 29 [hyper,27,1,8,eval] board([7,3,1]). given clause #27: (wt=10) 52 [hyper,29,1,3,eval] board([2,7,3,1]). given clause #28: (wt=12) 54 [hyper,52,1,5,eval] board([4,2,7,3,1]). given clause #29: (wt=14) 55 [hyper,54,1,9,eval] board([8,4,2,7,3,1]). given clause #30: (wt=12) 53 [hyper,52,1,9,eval] board([8,2,7,3,1]). given clause #31: (wt=14) 56 [hyper,53,1,6,eval] board([5,8,2,7,3,1]). given clause #32: (wt=8) 28 [hyper,27,1,9,eval] board([8,3,1]). given clause #33: (wt=10) 58 [hyper,28,1,3,eval] board([2,8,3,1]). given clause #34: (wt=12) 60 [hyper,58,1,5,eval] board([4,2,8,3,1]). given clause #35: (wt=12) 59 [hyper,58,1,8,eval] board([7,2,8,3,1]). given clause #36: (wt=10) 57 [hyper,28,1,7,eval] board([6,8,3,1]). given clause #37: (wt=12) 62 [hyper,57,1,3,eval] board([2,6,8,3,1]). given clause #38: (wt=12) 61 [hyper,57,1,5,eval] board([4,6,8,3,1]). given clause #39: (wt=14) 63 [hyper,61,1,3,eval] board([2,4,6,8,3,1]). given clause #40: (wt=16) 64 [hyper,63,1,6,eval] board([5,2,4,6,8,3,1]). given clause #41: (wt=6) 26 [hyper,21,1,5,eval] board([4,1]). given clause #42: (wt=8) 68 [hyper,26,1,3,eval] board([2,4,1]). given clause #43: (wt=10) 71 [hyper,68,1,6,eval] board([5,2,4,1]). given clause #44: (wt=12) 73 [hyper,71,1,4,eval] board([3,5,2,4,1]). given clause #45: (wt=12) 72 [hyper,71,1,9,eval] board([8,5,2,4,1]). given clause #46: (wt=10) 70 [hyper,68,1,8,eval] board([7,2,4,1]). given clause #47: (wt=12) 74 [hyper,70,1,4,eval] board([3,7,2,4,1]). given clause #48: (wt=10) 69 [hyper,68,1,9,eval] board([8,2,4,1]). given clause #49: (wt=12) 76 [hyper,69,1,4,eval] board([3,8,2,4,1]). given clause #50: (wt=14) 77 [hyper,76,1,8,eval] board([7,3,8,2,4,1]). given clause #51: (wt=12) 75 [hyper,69,1,7,eval] board([6,8,2,4,1]). given clause #52: (wt=14) 78 [hyper,75,1,4,eval] board([3,6,8,2,4,1]). given clause #53: (wt=8) 67 [hyper,26,1,7,eval] board([6,4,1]). given clause #54: (wt=10) 80 [hyper,67,1,4,eval] board([3,6,4,1]). given clause #55: (wt=10) 79 [hyper,67,1,9,eval] board([8,6,4,1]). given clause #56: (wt=12) 82 [hyper,79,1,3,eval] board([2,8,6,4,1]). given clause #57: (wt=14) 84 [hyper,82,1,6,eval] board([5,2,8,6,4,1]). given clause #58: (wt=16) 85 [hyper,84,1,4,eval] board([3,5,2,8,6,4,1]). given clause #59: (wt=14) 83 [hyper,82,1,8,eval] board([7,2,8,6,4,1]). given clause #60: (wt=16) 86 [hyper,83,1,4,eval] board([3,7,2,8,6,4,1]). given clause #61: (wt=12) 81 [hyper,79,1,4,eval] board([3,8,6,4,1]). given clause #62: (wt=14) 88 [hyper,81,1,6,eval] board([5,3,8,6,4,1]). given clause #63: (wt=14) 87 [hyper,81,1,8,eval] board([7,3,8,6,4,1]). given clause #64: (wt=8) 66 [hyper,26,1,8,eval] board([7,4,1]). given clause #65: (wt=10) 90 [hyper,66,1,4,eval] board([3,7,4,1]). given clause #66: (wt=12) 92 [hyper,90,1,7,eval] board([6,3,7,4,1]). given clause #67: (wt=14) 93 [hyper,92,1,3,eval] board([2,6,3,7,4,1]). given clause #68: (wt=16) 94 [hyper,93,1,6,eval] board([5,2,6,3,7,4,1]). given clause #69: (wt=12) 91 [hyper,90,1,9,eval] board([8,3,7,4,1]). given clause #70: (wt=14) 95 [hyper,91,1,3,eval] board([2,8,3,7,4,1]). given clause #71: (wt=16) 96 [hyper,95,1,6,eval] board([5,2,8,3,7,4,1]). given clause #72: (wt=10) 89 [hyper,66,1,6,eval] board([5,7,4,1]). given clause #73: (wt=12) 99 [hyper,89,1,3,eval] board([2,5,7,4,1]). given clause #74: (wt=12) 98 [hyper,89,1,4,eval] board([3,5,7,4,1]). given clause #75: (wt=12) 97 [hyper,89,1,9,eval] board([8,5,7,4,1]). given clause #76: (wt=14) 100 [hyper,97,1,3,eval] board([2,8,5,7,4,1]). given clause #77: (wt=8) 65 [hyper,26,1,9,eval] board([8,4,1]). given clause #78: (wt=10) 102 [hyper,65,1,4,eval] board([3,8,4,1]). given clause #79: (wt=10) 101 [hyper,65,1,6,eval] board([5,8,4,1]). given clause #80: (wt=12) 104 [hyper,101,1,3,eval] board([2,5,8,4,1]). given clause #81: (wt=12) 103 [hyper,101,1,4,eval] board([3,5,8,4,1]). given clause #82: (wt=6) 25 [hyper,21,1,6,eval] board([5,1]). given clause #83: (wt=8) 107 [hyper,25,1,3,eval] board([2,5,1]). given clause #84: (wt=10) 109 [hyper,107,1,7,eval] board([6,2,5,1]). given clause #85: (wt=12) 110 [hyper,109,1,4,eval] board([3,6,2,5,1]). given clause #86: (wt=14) 111 [hyper,110,1,8,eval] board([7,3,6,2,5,1]). given clause #87: (wt=16) 112 [hyper,111,1,5,eval] board([4,7,3,6,2,5,1]). given clause #88: (wt=10) 108 [hyper,107,1,9,eval] board([8,2,5,1]). given clause #89: (wt=12) 114 [hyper,108,1,4,eval] board([3,8,2,5,1]). given clause #90: (wt=14) 115 [hyper,114,1,8,eval] board([7,3,8,2,5,1]). given clause #91: (wt=16) 116 [hyper,115,1,5,eval] board([4,7,3,8,2,5,1]). given clause #92: (wt=12) 113 [hyper,108,1,7,eval] board([6,8,2,5,1]). given clause #93: (wt=14) 118 [hyper,113,1,4,eval] board([3,6,8,2,5,1]). given clause #94: (wt=14) 117 [hyper,113,1,5,eval] board([4,6,8,2,5,1]). given clause #95: (wt=8) 106 [hyper,25,1,8,eval] board([7,5,1]). given clause #96: (wt=10) 119 [hyper,106,1,3,eval] board([2,7,5,1]). given clause #97: (wt=12) 121 [hyper,119,1,5,eval] board([4,2,7,5,1]). given clause #98: (wt=14) 122 [hyper,121,1,9,eval] board([8,4,2,7,5,1]). given clause #99: (wt=12) 120 [hyper,119,1,7,eval] board([6,2,7,5,1]). given clause #100: (wt=14) 124 [hyper,120,1,4,eval] board([3,6,2,7,5,1]). given clause #101: (wt=14) 123 [hyper,120,1,9,eval] board([8,6,2,7,5,1]). given clause #102: (wt=8) 105 [hyper,25,1,9,eval] board([8,5,1]). given clause #103: (wt=10) 126 [hyper,105,1,3,eval] board([2,8,5,1]). given clause #104: (wt=12) 128 [hyper,126,1,5,eval] board([4,2,8,5,1]). given clause #105: (wt=14) 129 [hyper,128,1,8,eval] board([7,4,2,8,5,1]). given clause #106: (wt=16) 130 [hyper,129,1,4,eval] board([3,7,4,2,8,5,1]). given clause #107: (wt=12) 127 [hyper,126,1,8,eval] board([7,2,8,5,1]). given clause #108: (wt=14) 131 [hyper,127,1,4,eval] board([3,7,2,8,5,1]). given clause #109: (wt=16) 132 [hyper,131,1,7,eval] board([6,3,7,2,8,5,1]). given clause #110: (wt=10) 125 [hyper,105,1,7,eval] board([6,8,5,1]). given clause #111: (wt=12) 134 [hyper,125,1,4,eval] board([3,6,8,5,1]). given clause #112: (wt=14) 135 [hyper,134,1,8,eval] board([7,3,6,8,5,1]). given clause #113: (wt=16) 136 [hyper,135,1,3,eval] board([2,7,3,6,8,5,1]). -------- PROOF -------- 138 [binary,137.1,11.1] $Ans([4,2,7,3,6,8,5,1]). ----> UNIT CONFLICT at 0.04 sec ----> 138 [binary,137.1,11.1] $Ans([4,2,7,3,6,8,5,1]). Length of proof is 8. Level of proof is 8. ---------------- PROOF ---------------- 1 [] -board(B)| -pick(New_col)| -$TRUE(ok(B,1,New_col))|board([New_col|B]). 2 [] pick(1). 3 [] pick(2). 4 [] pick(3). 5 [] pick(4). 6 [] pick(5). 7 [] pick(6). 8 [] pick(7). 9 [] pick(8). 10 [] board([]). 11 [] -board([X1,X2,X3,X4,X5,X6,X7,X8])|$Ans([X1,X2,X3,X4,X5,X6,X7,X8]). 21 [hyper,10,1,2,eval] board([1]). 25 [hyper,21,1,6,eval] board([5,1]). 105 [hyper,25,1,9,eval] board([8,5,1]). 125 [hyper,105,1,7,eval] board([6,8,5,1]). 134 [hyper,125,1,4,eval] board([3,6,8,5,1]). 135 [hyper,134,1,8,eval] board([7,3,6,8,5,1]). 136 [hyper,135,1,3,eval] board([2,7,3,6,8,5,1]). 137 [hyper,136,1,5,eval] board([4,2,7,3,6,8,5,1]). 138 [binary,137.1,11.1] $Ans([4,2,7,3,6,8,5,1]). ------------ end of proof ------------- given clause #114: (wt=18) 137 [hyper,136,1,5,eval] board([4,2,7,3,6,8,5,1]). given clause #115: (wt=12) 133 [hyper,125,1,5,eval] board([4,6,8,5,1]). given clause #116: (wt=14) 140 [hyper,133,1,3,eval] board([2,4,6,8,5,1]). given clause #117: (wt=14) 139 [hyper,133,1,8,eval] board([7,4,6,8,5,1]). given clause #118: (wt=6) 24 [hyper,21,1,7,eval] board([6,1]). given clause #119: (wt=8) 143 [hyper,24,1,3,eval] board([2,6,1]). given clause #120: (wt=10) 145 [hyper,143,1,6,eval] board([5,2,6,1]). given clause #121: (wt=12) 147 [hyper,145,1,8,eval] board([7,5,2,6,1]). given clause #122: (wt=14) 148 [hyper,147,1,5,eval] board([4,7,5,2,6,1]). given clause #123: (wt=12) 146 [hyper,145,1,9,eval] board([8,5,2,6,1]). given clause #124: (wt=14) 149 [hyper,146,1,5,eval] board([4,8,5,2,6,1]). given clause #125: (wt=10) 144 [hyper,143,1,8,eval] board([7,2,6,1]). given clause #126: (wt=8) 142 [hyper,24,1,5,eval] board([4,6,1]). given clause #127: (wt=10) 151 [hyper,142,1,3,eval] board([2,4,6,1]). given clause #128: (wt=12) 153 [hyper,151,1,8,eval] board([7,2,4,6,1]). given clause #129: (wt=14) 155 [hyper,153,1,4,eval] board([3,7,2,4,6,1]). given clause #130: (wt=14) 154 [hyper,153,1,6,eval] board([5,7,2,4,6,1]). given clause #131: (wt=16) 156 [hyper,154,1,4,eval] board([3,5,7,2,4,6,1]). given clause #132: (wt=12) 152 [hyper,151,1,9,eval] board([8,2,4,6,1]). given clause #133: (wt=14) 158 [hyper,152,1,4,eval] board([3,8,2,4,6,1]). given clause #134: (wt=14) 157 [hyper,152,1,6,eval] board([5,8,2,4,6,1]). given clause #135: (wt=16) 159 [hyper,157,1,4,eval] board([3,5,8,2,4,6,1]). given clause #136: (wt=10) 150 [hyper,142,1,8,eval] board([7,4,6,1]). given clause #137: (wt=8) 141 [hyper,24,1,9,eval] board([8,6,1]). given clause #138: (wt=10) 162 [hyper,141,1,3,eval] board([2,8,6,1]). given clause #139: (wt=12) 164 [hyper,162,1,5,eval] board([4,2,8,6,1]). given clause #140: (wt=14) 165 [hyper,164,1,8,eval] board([7,4,2,8,6,1]). given clause #141: (wt=16) 166 [hyper,165,1,4,eval] board([3,7,4,2,8,6,1]). given clause #142: (wt=12) 163 [hyper,162,1,8,eval] board([7,2,8,6,1]). given clause #143: (wt=14) 167 [hyper,163,1,4,eval] board([3,7,2,8,6,1]). given clause #144: (wt=10) 161 [hyper,141,1,4,eval] board([3,8,6,1]). given clause #145: (wt=12) 168 [hyper,161,1,8,eval] board([7,3,8,6,1]). given clause #146: (wt=14) 169 [hyper,168,1,5,eval] board([4,7,3,8,6,1]). given clause #147: (wt=16) 170 [hyper,169,1,3,eval] board([2,4,7,3,8,6,1]). -------- PROOF -------- 172 [binary,171.1,11.1] $Ans([5,2,4,7,3,8,6,1]). ----> UNIT CONFLICT at 0.05 sec ----> 172 [binary,171.1,11.1] $Ans([5,2,4,7,3,8,6,1]). Length of proof is 8. Level of proof is 8. ---------------- PROOF ---------------- 1 [] -board(B)| -pick(New_col)| -$TRUE(ok(B,1,New_col))|board([New_col|B]). 2 [] pick(1). 3 [] pick(2). 4 [] pick(3). 5 [] pick(4). 6 [] pick(5). 7 [] pick(6). 8 [] pick(7). 9 [] pick(8). 10 [] board([]). 11 [] -board([X1,X2,X3,X4,X5,X6,X7,X8])|$Ans([X1,X2,X3,X4,X5,X6,X7,X8]). 21 [hyper,10,1,2,eval] board([1]). 24 [hyper,21,1,7,eval] board([6,1]). 141 [hyper,24,1,9,eval] board([8,6,1]). 161 [hyper,141,1,4,eval] board([3,8,6,1]). 168 [hyper,161,1,8,eval] board([7,3,8,6,1]). 169 [hyper,168,1,5,eval] board([4,7,3,8,6,1]). 170 [hyper,169,1,3,eval] board([2,4,7,3,8,6,1]). 171 [hyper,170,1,6,eval] board([5,2,4,7,3,8,6,1]). 172 [binary,171.1,11.1] $Ans([5,2,4,7,3,8,6,1]). ------------ end of proof ------------- given clause #148: (wt=18) 171 [hyper,170,1,6,eval] board([5,2,4,7,3,8,6,1]). given clause #149: (wt=10) 160 [hyper,141,1,6,eval] board([5,8,6,1]). given clause #150: (wt=12) 174 [hyper,160,1,3,eval] board([2,5,8,6,1]). given clause #151: (wt=14) 175 [hyper,174,1,5,eval] board([4,2,5,8,6,1]). given clause #152: (wt=12) 173 [hyper,160,1,8,eval] board([7,5,8,6,1]). given clause #153: (wt=14) 176 [hyper,173,1,5,eval] board([4,7,5,8,6,1]). given clause #154: (wt=6) 23 [hyper,21,1,8,eval] board([7,1]). given clause #155: (wt=8) 179 [hyper,23,1,3,eval] board([2,7,1]). given clause #156: (wt=10) 181 [hyper,179,1,7,eval] board([6,2,7,1]). given clause #157: (wt=12) 183 [hyper,181,1,4,eval] board([3,6,2,7,1]). given clause #158: (wt=12) 182 [hyper,181,1,9,eval] board([8,6,2,7,1]). given clause #159: (wt=10) 180 [hyper,179,1,9,eval] board([8,2,7,1]). given clause #160: (wt=12) 185 [hyper,180,1,4,eval] board([3,8,2,7,1]). given clause #161: (wt=12) 184 [hyper,180,1,7,eval] board([6,8,2,7,1]). given clause #162: (wt=14) 186 [hyper,184,1,5,eval] board([4,6,8,2,7,1]). given clause #163: (wt=8) 178 [hyper,23,1,5,eval] board([4,7,1]). given clause #164: (wt=10) 189 [hyper,178,1,3,eval] board([2,4,7,1]). given clause #165: (wt=12) 190 [hyper,189,1,9,eval] board([8,2,4,7,1]). given clause #166: (wt=14) 191 [hyper,190,1,6,eval] board([5,8,2,4,7,1]). given clause #167: (wt=16) 192 [hyper,191,1,4,eval] board([3,5,8,2,4,7,1]). given clause #168: (wt=10) 188 [hyper,178,1,7,eval] board([6,4,7,1]). given clause #169: (wt=12) 194 [hyper,188,1,4,eval] board([3,6,4,7,1]). given clause #170: (wt=14) 195 [hyper,194,1,6,eval] board([5,3,6,4,7,1]). given clause #171: (wt=12) 193 [hyper,188,1,9,eval] board([8,6,4,7,1]). given clause #172: (wt=14) 197 [hyper,193,1,3,eval] board([2,8,6,4,7,1]). given clause #173: (wt=16) 198 [hyper,197,1,6,eval] board([5,2,8,6,4,7,1]). -------- PROOF -------- 200 [binary,199.1,11.1] $Ans([3,5,2,8,6,4,7,1]). ----> UNIT CONFLICT at 0.06 sec ----> 200 [binary,199.1,11.1] $Ans([3,5,2,8,6,4,7,1]). Length of proof is 8. Level of proof is 8. ---------------- PROOF ---------------- 1 [] -board(B)| -pick(New_col)| -$TRUE(ok(B,1,New_col))|board([New_col|B]). 2 [] pick(1). 3 [] pick(2). 4 [] pick(3). 5 [] pick(4). 6 [] pick(5). 7 [] pick(6). 8 [] pick(7). 9 [] pick(8). 10 [] board([]). 11 [] -board([X1,X2,X3,X4,X5,X6,X7,X8])|$Ans([X1,X2,X3,X4,X5,X6,X7,X8]). 21 [hyper,10,1,2,eval] board([1]). 23 [hyper,21,1,8,eval] board([7,1]). 178 [hyper,23,1,5,eval] board([4,7,1]). 188 [hyper,178,1,7,eval] board([6,4,7,1]). 193 [hyper,188,1,9,eval] board([8,6,4,7,1]). 197 [hyper,193,1,3,eval] board([2,8,6,4,7,1]). 198 [hyper,197,1,6,eval] board([5,2,8,6,4,7,1]). 199 [hyper,198,1,4,eval] board([3,5,2,8,6,4,7,1]). 200 [binary,199.1,11.1] $Ans([3,5,2,8,6,4,7,1]). ------------ end of proof ------------- given clause #174: (wt=18) 199 [hyper,198,1,4,eval] board([3,5,2,8,6,4,7,1]). given clause #175: (wt=14) 196 [hyper,193,1,6,eval] board([5,8,6,4,7,1]). given clause #176: (wt=10) 187 [hyper,178,1,9,eval] board([8,4,7,1]). given clause #177: (wt=12) 201 [hyper,187,1,4,eval] board([3,8,4,7,1]). given clause #178: (wt=14) 202 [hyper,201,1,6,eval] board([5,3,8,4,7,1]). given clause #179: (wt=8) 177 [hyper,23,1,6,eval] board([5,7,1]). given clause #180: (wt=10) 205 [hyper,177,1,3,eval] board([2,5,7,1]). given clause #181: (wt=12) 207 [hyper,205,1,7,eval] board([6,2,5,7,1]). given clause #182: (wt=12) 206 [hyper,205,1,9,eval] board([8,2,5,7,1]). given clause #183: (wt=10) 204 [hyper,177,1,4,eval] board([3,5,7,1]). given clause #184: (wt=12) 209 [hyper,204,1,7,eval] board([6,3,5,7,1]). given clause #185: (wt=14) 210 [hyper,209,1,5,eval] board([4,6,3,5,7,1]). given clause #186: (wt=12) 208 [hyper,204,1,9,eval] board([8,3,5,7,1]). given clause #187: (wt=14) 211 [hyper,208,1,5,eval] board([4,8,3,5,7,1]). given clause #188: (wt=10) 203 [hyper,177,1,9,eval] board([8,5,7,1]). given clause #189: (wt=12) 213 [hyper,203,1,3,eval] board([2,8,5,7,1]). given clause #190: (wt=14) 214 [hyper,213,1,5,eval] board([4,2,8,5,7,1]). given clause #191: (wt=16) 215 [hyper,214,1,7,eval] board([6,4,2,8,5,7,1]). -------- PROOF -------- 217 [binary,216.1,11.1] $Ans([3,6,4,2,8,5,7,1]). ----> UNIT CONFLICT at 0.07 sec ----> 217 [binary,216.1,11.1] $Ans([3,6,4,2,8,5,7,1]). Length of proof is 8. Level of proof is 8. ---------------- PROOF ---------------- 1 [] -board(B)| -pick(New_col)| -$TRUE(ok(B,1,New_col))|board([New_col|B]). 2 [] pick(1). 3 [] pick(2). 4 [] pick(3). 5 [] pick(4). 6 [] pick(5). 7 [] pick(6). 8 [] pick(7). 9 [] pick(8). 10 [] board([]). 11 [] -board([X1,X2,X3,X4,X5,X6,X7,X8])|$Ans([X1,X2,X3,X4,X5,X6,X7,X8]). 21 [hyper,10,1,2,eval] board([1]). 23 [hyper,21,1,8,eval] board([7,1]). 177 [hyper,23,1,6,eval] board([5,7,1]). 203 [hyper,177,1,9,eval] board([8,5,7,1]). 213 [hyper,203,1,3,eval] board([2,8,5,7,1]). 214 [hyper,213,1,5,eval] board([4,2,8,5,7,1]). 215 [hyper,214,1,7,eval] board([6,4,2,8,5,7,1]). 216 [hyper,215,1,4,eval] board([3,6,4,2,8,5,7,1]). 217 [binary,216.1,11.1] $Ans([3,6,4,2,8,5,7,1]). ------------ end of proof ------------- given clause #192: (wt=18) 216 [hyper,215,1,4,eval] board([3,6,4,2,8,5,7,1]). given clause #193: (wt=12) 212 [hyper,203,1,7,eval] board([6,8,5,7,1]). given clause #194: (wt=14) 218 [hyper,212,1,5,eval] board([4,6,8,5,7,1]). given clause #195: (wt=6) 22 [hyper,21,1,9,eval] board([8,1]). given clause #196: (wt=8) 222 [hyper,22,1,3,eval] board([2,8,1]). given clause #197: (wt=10) 224 [hyper,222,1,6,eval] board([5,2,8,1]). given clause #198: (wt=12) 226 [hyper,224,1,4,eval] board([3,5,2,8,1]). given clause #199: (wt=12) 225 [hyper,224,1,8,eval] board([7,5,2,8,1]). given clause #200: (wt=10) 223 [hyper,222,1,8,eval] board([7,2,8,1]). given clause #201: (wt=12) 227 [hyper,223,1,4,eval] board([3,7,2,8,1]). given clause #202: (wt=8) 221 [hyper,22,1,5,eval] board([4,8,1]). given clause #203: (wt=10) 229 [hyper,221,1,3,eval] board([2,4,8,1]). given clause #204: (wt=12) 230 [hyper,229,1,8,eval] board([7,2,4,8,1]). given clause #205: (wt=14) 232 [hyper,230,1,4,eval] board([3,7,2,4,8,1]). given clause #206: (wt=16) 233 [hyper,232,1,7,eval] board([6,3,7,2,4,8,1]). given clause #207: (wt=14) 231 [hyper,230,1,6,eval] board([5,7,2,4,8,1]). given clause #208: (wt=10) 228 [hyper,221,1,8,eval] board([7,4,8,1]). given clause #209: (wt=12) 234 [hyper,228,1,4,eval] board([3,7,4,8,1]). given clause #210: (wt=8) 220 [hyper,22,1,6,eval] board([5,8,1]). given clause #211: (wt=10) 237 [hyper,220,1,3,eval] board([2,5,8,1]). given clause #212: (wt=12) 239 [hyper,237,1,5,eval] board([4,2,5,8,1]). given clause #213: (wt=14) 240 [hyper,239,1,8,eval] board([7,4,2,5,8,1]). given clause #214: (wt=12) 238 [hyper,237,1,7,eval] board([6,2,5,8,1]). given clause #215: (wt=14) 241 [hyper,238,1,4,eval] board([3,6,2,5,8,1]). given clause #216: (wt=10) 236 [hyper,220,1,4,eval] board([3,5,8,1]). given clause #217: (wt=12) 242 [hyper,236,1,7,eval] board([6,3,5,8,1]). given clause #218: (wt=10) 235 [hyper,220,1,8,eval] board([7,5,8,1]). given clause #219: (wt=12) 244 [hyper,235,1,3,eval] board([2,7,5,8,1]). given clause #220: (wt=12) 243 [hyper,235,1,5,eval] board([4,7,5,8,1]). given clause #221: (wt=8) 219 [hyper,22,1,7,eval] board([6,8,1]). given clause #222: (wt=10) 246 [hyper,219,1,3,eval] board([2,6,8,1]). given clause #223: (wt=12) 247 [hyper,246,1,8,eval] board([7,2,6,8,1]). given clause #224: (wt=14) 248 [hyper,247,1,6,eval] board([5,7,2,6,8,1]). given clause #225: (wt=10) 245 [hyper,219,1,4,eval] board([3,6,8,1]). given clause #226: (wt=12) 249 [hyper,245,1,8,eval] board([7,3,6,8,1]). given clause #227: (wt=14) 250 [hyper,249,1,3,eval] board([2,7,3,6,8,1]). given clause #228: (wt=16) 251 [hyper,250,1,5,eval] board([4,2,7,3,6,8,1]). given clause #229: (wt=4) 20 [hyper,10,1,3,eval] board([2]). given clause #230: (wt=6) 256 [hyper,20,1,5,eval] board([4,2]). given clause #231: (wt=8) 260 [hyper,256,1,2,eval] board([1,4,2]). given clause #232: (wt=10) 263 [hyper,260,1,4,eval] board([3,1,4,2]). given clause #233: (wt=12) 265 [hyper,263,1,6,eval] board([5,3,1,4,2]). given clause #234: (wt=12) 264 [hyper,263,1,9,eval] board([8,3,1,4,2]). given clause #235: (wt=14) 266 [hyper,264,1,7,eval] board([6,8,3,1,4,2]). given clause #236: (wt=10) 262 [hyper,260,1,8,eval] board([7,1,4,2]). given clause #237: (wt=12) 267 [hyper,262,1,6,eval] board([5,7,1,4,2]). given clause #238: (wt=14) 268 [hyper,267,1,4,eval] board([3,5,7,1,4,2]). given clause #239: (wt=16) 269 [hyper,268,1,7,eval] board([6,3,5,7,1,4,2]). given clause #240: (wt=10) 261 [hyper,260,1,9,eval] board([8,1,4,2]). given clause #241: (wt=12) 270 [hyper,261,1,6,eval] board([5,8,1,4,2]). given clause #242: (wt=14) 271 [hyper,270,1,4,eval] board([3,5,8,1,4,2]). given clause #243: (wt=16) 272 [hyper,271,1,7,eval] board([6,3,5,8,1,4,2]). given clause #244: (wt=8) 259 [hyper,256,1,7,eval] board([6,4,2]). given clause #245: (wt=10) 275 [hyper,259,1,2,eval] board([1,6,4,2]). given clause #246: (wt=12) 277 [hyper,275,1,4,eval] board([3,1,6,4,2]). given clause #247: (wt=14) 278 [hyper,277,1,6,eval] board([5,3,1,6,4,2]). given clause #248: (wt=16) 279 [hyper,278,1,8,eval] board([7,5,3,1,6,4,2]). given clause #249: (wt=12) 276 [hyper,275,1,6,eval] board([5,1,6,4,2]). given clause #250: (wt=10) 274 [hyper,259,1,4,eval] board([3,6,4,2]). given clause #251: (wt=12) 280 [hyper,274,1,6,eval] board([5,3,6,4,2]). given clause #252: (wt=10) 273 [hyper,259,1,9,eval] board([8,6,4,2]). given clause #253: (wt=12) 282 [hyper,273,1,4,eval] board([3,8,6,4,2]). given clause #254: (wt=14) 284 [hyper,282,1,2,eval] board([1,3,8,6,4,2]). given clause #255: (wt=16) 285 [hyper,284,1,8,eval] board([7,1,3,8,6,4,2]). -------- PROOF -------- 287 [binary,286.1,11.1] $Ans([5,7,1,3,8,6,4,2]). ----> UNIT CONFLICT at 0.09 sec ----> 287 [binary,286.1,11.1] $Ans([5,7,1,3,8,6,4,2]). Length of proof is 8. Level of proof is 8. ---------------- PROOF ---------------- 1 [] -board(B)| -pick(New_col)| -$TRUE(ok(B,1,New_col))|board([New_col|B]). 2 [] pick(1). 3 [] pick(2). 4 [] pick(3). 5 [] pick(4). 6 [] pick(5). 7 [] pick(6). 8 [] pick(7). 9 [] pick(8). 10 [] board([]). 11 [] -board([X1,X2,X3,X4,X5,X6,X7,X8])|$Ans([X1,X2,X3,X4,X5,X6,X7,X8]). 20 [hyper,10,1,3,eval] board([2]). 256 [hyper,20,1,5,eval] board([4,2]). 259 [hyper,256,1,7,eval] board([6,4,2]). 273 [hyper,259,1,9,eval] board([8,6,4,2]). 282 [hyper,273,1,4,eval] board([3,8,6,4,2]). 284 [hyper,282,1,2,eval] board([1,3,8,6,4,2]). 285 [hyper,284,1,8,eval] board([7,1,3,8,6,4,2]). 286 [hyper,285,1,6,eval] board([5,7,1,3,8,6,4,2]). 287 [binary,286.1,11.1] $Ans([5,7,1,3,8,6,4,2]). ------------ end of proof ------------- given clause #256: (wt=18) 286 [hyper,285,1,6,eval] board([5,7,1,3,8,6,4,2]). given clause #257: (wt=14) 283 [hyper,282,1,6,eval] board([5,3,8,6,4,2]). given clause #258: (wt=16) 288 [hyper,283,1,8,eval] board([7,5,3,8,6,4,2]). given clause #259: (wt=12) 281 [hyper,273,1,6,eval] board([5,8,6,4,2]). given clause #260: (wt=14) 289 [hyper,281,1,2,eval] board([1,5,8,6,4,2]). given clause #261: (wt=8) 258 [hyper,256,1,8,eval] board([7,4,2]). given clause #262: (wt=10) 291 [hyper,258,1,2,eval] board([1,7,4,2]). given clause #263: (wt=12) 293 [hyper,291,1,4,eval] board([3,1,7,4,2]). given clause #264: (wt=14) 295 [hyper,293,1,6,eval] board([5,3,1,7,4,2]). given clause #265: (wt=14) 294 [hyper,293,1,7,eval] board([6,3,1,7,4,2]). given clause #266: (wt=12) 292 [hyper,291,1,9,eval] board([8,1,7,4,2]). given clause #267: (wt=14) 297 [hyper,292,1,6,eval] board([5,8,1,7,4,2]). given clause #268: (wt=14) 296 [hyper,292,1,7,eval] board([6,8,1,7,4,2]). given clause #269: (wt=10) 290 [hyper,258,1,4,eval] board([3,7,4,2]). given clause #270: (wt=12) 298 [hyper,290,1,9,eval] board([8,3,7,4,2]). given clause #271: (wt=14) 299 [hyper,298,1,7,eval] board([6,8,3,7,4,2]). given clause #272: (wt=16) 300 [hyper,299,1,2,eval] board([1,6,8,3,7,4,2]). given clause #273: (wt=8) 257 [hyper,256,1,9,eval] board([8,4,2]). given clause #274: (wt=10) 302 [hyper,257,1,2,eval] board([1,8,4,2]). given clause #275: (wt=12) 304 [hyper,302,1,4,eval] board([3,1,8,4,2]). given clause #276: (wt=14) 305 [hyper,304,1,7,eval] board([6,3,1,8,4,2]). given clause #277: (wt=12) 303 [hyper,302,1,6,eval] board([5,1,8,4,2]). given clause #278: (wt=10) 301 [hyper,257,1,4,eval] board([3,8,4,2]). given clause #279: (wt=12) 306 [hyper,301,1,6,eval] board([5,3,8,4,2]). given clause #280: (wt=6) 255 [hyper,20,1,6,eval] board([5,2]). given clause #281: (wt=8) 310 [hyper,255,1,2,eval] board([1,5,2]). given clause #282: (wt=10) 313 [hyper,310,1,5,eval] board([4,1,5,2]). given clause #283: (wt=12) 314 [hyper,313,1,8,eval] board([7,4,1,5,2]). given clause #284: (wt=14) 315 [hyper,314,1,4,eval] board([3,7,4,1,5,2]). given clause #285: (wt=16) 316 [hyper,315,1,7,eval] board([6,3,7,4,1,5,2]). given clause #286: (wt=10) 312 [hyper,310,1,7,eval] board([6,1,5,2]). given clause #287: (wt=12) 317 [hyper,312,1,5,eval] board([4,6,1,5,2]). given clause #288: (wt=10) 311 [hyper,310,1,9,eval] board([8,1,5,2]). given clause #289: (wt=12) 318 [hyper,311,1,5,eval] board([4,8,1,5,2]). given clause #290: (wt=8) 309 [hyper,255,1,4,eval] board([3,5,2]). given clause #291: (wt=10) 321 [hyper,309,1,2,eval] board([1,3,5,2]). given clause #292: (wt=12) 323 [hyper,321,1,5,eval] board([4,1,3,5,2]). given clause #293: (wt=14) 324 [hyper,323,1,9,eval] board([8,4,1,3,5,2]). given clause #294: (wt=12) 322 [hyper,321,1,8,eval] board([7,1,3,5,2]). given clause #295: (wt=14) 325 [hyper,322,1,5,eval] board([4,7,1,3,5,2]). given clause #296: (wt=16) 326 [hyper,325,1,7,eval] board([6,4,7,1,3,5,2]). given clause #297: (wt=10) 320 [hyper,309,1,7,eval] board([6,3,5,2]). given clause #298: (wt=12) 327 [hyper,320,1,5,eval] board([4,6,3,5,2]). given clause #299: (wt=10) 319 [hyper,309,1,9,eval] board([8,3,5,2]). given clause #300: (wt=12) 328 [hyper,319,1,5,eval] board([4,8,3,5,2]). given clause #301: (wt=8) 308 [hyper,255,1,8,eval] board([7,5,2]). given clause #302: (wt=10) 330 [hyper,308,1,2,eval] board([1,7,5,2]). given clause #303: (wt=12) 332 [hyper,330,1,4,eval] board([3,1,7,5,2]). given clause #304: (wt=14) 334 [hyper,332,1,7,eval] board([6,3,1,7,5,2]). given clause #305: (wt=14) 333 [hyper,332,1,9,eval] board([8,3,1,7,5,2]). given clause #306: (wt=16) 335 [hyper,333,1,7,eval] board([6,8,3,1,7,5,2]). -------- PROOF -------- 337 [binary,336.1,11.1] $Ans([4,6,8,3,1,7,5,2]). ----> UNIT CONFLICT at 0.11 sec ----> 337 [binary,336.1,11.1] $Ans([4,6,8,3,1,7,5,2]). Length of proof is 8. Level of proof is 8. ---------------- PROOF ---------------- 1 [] -board(B)| -pick(New_col)| -$TRUE(ok(B,1,New_col))|board([New_col|B]). 2 [] pick(1). 3 [] pick(2). 4 [] pick(3). 5 [] pick(4). 6 [] pick(5). 7 [] pick(6). 8 [] pick(7). 9 [] pick(8). 10 [] board([]). 11 [] -board([X1,X2,X3,X4,X5,X6,X7,X8])|$Ans([X1,X2,X3,X4,X5,X6,X7,X8]). 20 [hyper,10,1,3,eval] board([2]). 255 [hyper,20,1,6,eval] board([5,2]). 308 [hyper,255,1,8,eval] board([7,5,2]). 330 [hyper,308,1,2,eval] board([1,7,5,2]). 332 [hyper,330,1,4,eval] board([3,1,7,5,2]). 333 [hyper,332,1,9,eval] board([8,3,1,7,5,2]). 335 [hyper,333,1,7,eval] board([6,8,3,1,7,5,2]). 336 [hyper,335,1,5,eval] board([4,6,8,3,1,7,5,2]). 337 [binary,336.1,11.1] $Ans([4,6,8,3,1,7,5,2]). ------------ end of proof ------------- given clause #307: (wt=18) 336 [hyper,335,1,5,eval] board([4,6,8,3,1,7,5,2]). given clause #308: (wt=12) 331 [hyper,330,1,5,eval] board([4,1,7,5,2]). given clause #309: (wt=14) 339 [hyper,331,1,7,eval] board([6,4,1,7,5,2]). given clause #310: (wt=14) 338 [hyper,331,1,9,eval] board([8,4,1,7,5,2]). given clause #311: (wt=10) 329 [hyper,308,1,5,eval] board([4,7,5,2]). given clause #312: (wt=12) 340 [hyper,329,1,2,eval] board([1,4,7,5,2]). given clause #313: (wt=14) 342 [hyper,340,1,4,eval] board([3,1,4,7,5,2]). given clause #314: (wt=16) 343 [hyper,342,1,7,eval] board([6,3,1,4,7,5,2]). given clause #315: (wt=14) 341 [hyper,340,1,9,eval] board([8,1,4,7,5,2]). given clause #316: (wt=16) 344 [hyper,341,1,7,eval] board([6,8,1,4,7,5,2]). -------- PROOF -------- 346 [binary,345.1,11.1] $Ans([3,6,8,1,4,7,5,2]). ----> UNIT CONFLICT at 0.12 sec ----> 346 [binary,345.1,11.1] $Ans([3,6,8,1,4,7,5,2]). Length of proof is 8. Level of proof is 8. ---------------- PROOF ---------------- 1 [] -board(B)| -pick(New_col)| -$TRUE(ok(B,1,New_col))|board([New_col|B]). 2 [] pick(1). 3 [] pick(2). 4 [] pick(3). 5 [] pick(4). 6 [] pick(5). 7 [] pick(6). 8 [] pick(7). 9 [] pick(8). 10 [] board([]). 11 [] -board([X1,X2,X3,X4,X5,X6,X7,X8])|$Ans([X1,X2,X3,X4,X5,X6,X7,X8]). 20 [hyper,10,1,3,eval] board([2]). 255 [hyper,20,1,6,eval] board([5,2]). 308 [hyper,255,1,8,eval] board([7,5,2]). 329 [hyper,308,1,5,eval] board([4,7,5,2]). 340 [hyper,329,1,2,eval] board([1,4,7,5,2]). 341 [hyper,340,1,9,eval] board([8,1,4,7,5,2]). 344 [hyper,341,1,7,eval] board([6,8,1,4,7,5,2]). 345 [hyper,344,1,4,eval] board([3,6,8,1,4,7,5,2]). 346 [binary,345.1,11.1] $Ans([3,6,8,1,4,7,5,2]). ------------ end of proof ------------- given clause #317: (wt=18) 345 [hyper,344,1,4,eval] board([3,6,8,1,4,7,5,2]). given clause #318: (wt=8) 307 [hyper,255,1,9,eval] board([8,5,2]). given clause #319: (wt=10) 349 [hyper,307,1,2,eval] board([1,8,5,2]). given clause #320: (wt=12) 352 [hyper,349,1,4,eval] board([3,1,8,5,2]). given clause #321: (wt=14) 353 [hyper,352,1,7,eval] board([6,3,1,8,5,2]). given clause #322: (wt=12) 351 [hyper,349,1,5,eval] board([4,1,8,5,2]). given clause #323: (wt=14) 354 [hyper,351,1,7,eval] board([6,4,1,8,5,2]). given clause #324: (wt=16) 355 [hyper,354,1,4,eval] board([3,6,4,1,8,5,2]). given clause #325: (wt=12) 350 [hyper,349,1,8,eval] board([7,1,8,5,2]). given clause #326: (wt=14) 356 [hyper,350,1,5,eval] board([4,7,1,8,5,2]). given clause #327: (wt=16) 357 [hyper,356,1,7,eval] board([6,4,7,1,8,5,2]). given clause #328: (wt=10) 348 [hyper,307,1,5,eval] board([4,8,5,2]). given clause #329: (wt=12) 359 [hyper,348,1,2,eval] board([1,4,8,5,2]). given clause #330: (wt=14) 360 [hyper,359,1,4,eval] board([3,1,4,8,5,2]). given clause #331: (wt=16) 361 [hyper,360,1,7,eval] board([6,3,1,4,8,5,2]). given clause #332: (wt=12) 358 [hyper,348,1,8,eval] board([7,4,8,5,2]). given clause #333: (wt=14) 362 [hyper,358,1,4,eval] board([3,7,4,8,5,2]). given clause #334: (wt=16) 363 [hyper,362,1,7,eval] board([6,3,7,4,8,5,2]). given clause #335: (wt=10) 347 [hyper,307,1,7,eval] board([6,8,5,2]). given clause #336: (wt=12) 366 [hyper,347,1,2,eval] board([1,6,8,5,2]). given clause #337: (wt=14) 367 [hyper,366,1,4,eval] board([3,1,6,8,5,2]). given clause #338: (wt=16) 368 [hyper,367,1,8,eval] board([7,3,1,6,8,5,2]). given clause #339: (wt=12) 365 [hyper,347,1,4,eval] board([3,6,8,5,2]). given clause #340: (wt=12) 364 [hyper,347,1,5,eval] board([4,6,8,5,2]). given clause #341: (wt=6) 254 [hyper,20,1,7,eval] board([6,2]). given clause #342: (wt=8) 371 [hyper,254,1,2,eval] board([1,6,2]). given clause #343: (wt=10) 373 [hyper,371,1,4,eval] board([3,1,6,2]). given clause #344: (wt=12) 376 [hyper,373,1,6,eval] board([5,3,1,6,2]). given clause #345: (wt=14) 377 [hyper,376,1,9,eval] board([8,5,3,1,6,2]). given clause #346: (wt=16) 378 [hyper,377,1,5,eval] board([4,8,5,3,1,6,2]). given clause #347: (wt=12) 375 [hyper,373,1,8,eval] board([7,3,1,6,2]). given clause #348: (wt=12) 374 [hyper,373,1,9,eval] board([8,3,1,6,2]). given clause #349: (wt=10) 372 [hyper,371,1,8,eval] board([7,1,6,2]). given clause #350: (wt=12) 380 [hyper,372,1,5,eval] board([4,7,1,6,2]). given clause #351: (wt=14) 381 [hyper,380,1,9,eval] board([8,4,7,1,6,2]). given clause #352: (wt=16) 382 [hyper,381,1,4,eval] board([3,8,4,7,1,6,2]). -------- PROOF -------- 384 [binary,383.1,11.1] $Ans([5,3,8,4,7,1,6,2]). ----> UNIT CONFLICT at 0.13 sec ----> 384 [binary,383.1,11.1] $Ans([5,3,8,4,7,1,6,2]). Length of proof is 8. Level of proof is 8. ---------------- PROOF ---------------- 1 [] -board(B)| -pick(New_col)| -$TRUE(ok(B,1,New_col))|board([New_col|B]). 2 [] pick(1). 3 [] pick(2). 4 [] pick(3). 5 [] pick(4). 6 [] pick(5). 7 [] pick(6). 8 [] pick(7). 9 [] pick(8). 10 [] board([]). 11 [] -board([X1,X2,X3,X4,X5,X6,X7,X8])|$Ans([X1,X2,X3,X4,X5,X6,X7,X8]). 20 [hyper,10,1,3,eval] board([2]). 254 [hyper,20,1,7,eval] board([6,2]). 371 [hyper,254,1,2,eval] board([1,6,2]). 372 [hyper,371,1,8,eval] board([7,1,6,2]). 380 [hyper,372,1,5,eval] board([4,7,1,6,2]). 381 [hyper,380,1,9,eval] board([8,4,7,1,6,2]). 382 [hyper,381,1,4,eval] board([3,8,4,7,1,6,2]). 383 [hyper,382,1,6,eval] board([5,3,8,4,7,1,6,2]). 384 [binary,383.1,11.1] $Ans([5,3,8,4,7,1,6,2]). ------------ end of proof ------------- given clause #353: (wt=18) 383 [hyper,382,1,6,eval] board([5,3,8,4,7,1,6,2]). given clause #354: (wt=12) 379 [hyper,372,1,6,eval] board([5,7,1,6,2]). given clause #355: (wt=14) 386 [hyper,379,1,4,eval] board([3,5,7,1,6,2]). given clause #356: (wt=14) 385 [hyper,379,1,9,eval] board([8,5,7,1,6,2]). given clause #357: (wt=8) 370 [hyper,254,1,4,eval] board([3,6,2]). given clause #358: (wt=10) 388 [hyper,370,1,2,eval] board([1,3,6,2]). given clause #359: (wt=12) 391 [hyper,388,1,5,eval] board([4,1,3,6,2]). given clause #360: (wt=14) 392 [hyper,391,1,9,eval] board([8,4,1,3,6,2]). given clause #361: (wt=16) 393 [hyper,392,1,6,eval] board([5,8,4,1,3,6,2]). given clause #362: (wt=12) 390 [hyper,388,1,8,eval] board([7,1,3,6,2]). given clause #363: (wt=14) 395 [hyper,390,1,5,eval] board([4,7,1,3,6,2]). given clause #364: (wt=14) 394 [hyper,390,1,6,eval] board([5,7,1,3,6,2]). given clause #365: (wt=12) 389 [hyper,388,1,9,eval] board([8,1,3,6,2]). given clause #366: (wt=14) 397 [hyper,389,1,5,eval] board([4,8,1,3,6,2]). given clause #367: (wt=14) 396 [hyper,389,1,6,eval] board([5,8,1,3,6,2]). given clause #368: (wt=10) 387 [hyper,370,1,8,eval] board([7,3,6,2]). given clause #369: (wt=12) 398 [hyper,387,1,5,eval] board([4,7,3,6,2]). given clause #370: (wt=14) 400 [hyper,398,1,2,eval] board([1,4,7,3,6,2]). given clause #371: (wt=16) 401 [hyper,400,1,6,eval] board([5,1,4,7,3,6,2]). given clause #372: (wt=14) 399 [hyper,398,1,9,eval] board([8,4,7,3,6,2]). given clause #373: (wt=16) 402 [hyper,399,1,6,eval] board([5,8,4,7,3,6,2]). given clause #374: (wt=8) 369 [hyper,254,1,9,eval] board([8,6,2]). given clause #375: (wt=10) 404 [hyper,369,1,2,eval] board([1,8,6,2]). given clause #376: (wt=12) 407 [hyper,404,1,5,eval] board([4,1,8,6,2]). given clause #377: (wt=12) 406 [hyper,404,1,6,eval] board([5,1,8,6,2]). given clause #378: (wt=12) 405 [hyper,404,1,8,eval] board([7,1,8,6,2]). given clause #379: (wt=14) 408 [hyper,405,1,5,eval] board([4,7,1,8,6,2]). given clause #380: (wt=10) 403 [hyper,369,1,4,eval] board([3,8,6,2]). given clause #381: (wt=12) 411 [hyper,403,1,2,eval] board([1,3,8,6,2]). given clause #382: (wt=14) 412 [hyper,411,1,5,eval] board([4,1,3,8,6,2]). given clause #383: (wt=16) 413 [hyper,412,1,8,eval] board([7,4,1,3,8,6,2]). -------- PROOF -------- 415 [binary,414.1,11.1] $Ans([5,7,4,1,3,8,6,2]). ----> UNIT CONFLICT at 0.14 sec ----> 415 [binary,414.1,11.1] $Ans([5,7,4,1,3,8,6,2]). Length of proof is 8. Level of proof is 8. ---------------- PROOF ---------------- 1 [] -board(B)| -pick(New_col)| -$TRUE(ok(B,1,New_col))|board([New_col|B]). 2 [] pick(1). 3 [] pick(2). 4 [] pick(3). 5 [] pick(4). 6 [] pick(5). 7 [] pick(6). 8 [] pick(7). 9 [] pick(8). 10 [] board([]). 11 [] -board([X1,X2,X3,X4,X5,X6,X7,X8])|$Ans([X1,X2,X3,X4,X5,X6,X7,X8]). 20 [hyper,10,1,3,eval] board([2]). 254 [hyper,20,1,7,eval] board([6,2]). 369 [hyper,254,1,9,eval] board([8,6,2]). 403 [hyper,369,1,4,eval] board([3,8,6,2]). 411 [hyper,403,1,2,eval] board([1,3,8,6,2]). 412 [hyper,411,1,5,eval] board([4,1,3,8,6,2]). 413 [hyper,412,1,8,eval] board([7,4,1,3,8,6,2]). 414 [hyper,413,1,6,eval] board([5,7,4,1,3,8,6,2]). 415 [binary,414.1,11.1] $Ans([5,7,4,1,3,8,6,2]). ------------ end of proof ------------- given clause #384: (wt=18) 414 [hyper,413,1,6,eval] board([5,7,4,1,3,8,6,2]). given clause #385: (wt=12) 410 [hyper,403,1,6,eval] board([5,3,8,6,2]). given clause #386: (wt=12) 409 [hyper,403,1,8,eval] board([7,3,8,6,2]). given clause #387: (wt=14) 416 [hyper,409,1,5,eval] board([4,7,3,8,6,2]). given clause #388: (wt=6) 253 [hyper,20,1,8,eval] board([7,2]). given clause #389: (wt=8) 419 [hyper,253,1,2,eval] board([1,7,2]). given clause #390: (wt=10) 423 [hyper,419,1,4,eval] board([3,1,7,2]). given clause #391: (wt=12) 425 [hyper,423,1,6,eval] board([5,3,1,7,2]). given clause #392: (wt=14) 426 [hyper,425,1,9,eval] board([8,5,3,1,7,2]). given clause #393: (wt=16) 427 [hyper,426,1,5,eval] board([4,8,5,3,1,7,2]). given clause #394: (wt=12) 424 [hyper,423,1,9,eval] board([8,3,1,7,2]). given clause #395: (wt=14) 428 [hyper,424,1,7,eval] board([6,8,3,1,7,2]). given clause #396: (wt=16) 429 [hyper,428,1,5,eval] board([4,6,8,3,1,7,2]). given clause #397: (wt=10) 422 [hyper,419,1,5,eval] board([4,1,7,2]). given clause #398: (wt=12) 430 [hyper,422,1,9,eval] board([8,4,1,7,2]). given clause #399: (wt=14) 431 [hyper,430,1,6,eval] board([5,8,4,1,7,2]). given clause #400: (wt=16) 432 [hyper,431,1,4,eval] board([3,5,8,4,1,7,2]). given clause #401: (wt=10) 421 [hyper,419,1,7,eval] board([6,1,7,2]). given clause #402: (wt=12) 433 [hyper,421,1,9,eval] board([8,6,1,7,2]). given clause #403: (wt=14) 434 [hyper,433,1,6,eval] board([5,8,6,1,7,2]). given clause #404: (wt=10) 420 [hyper,419,1,9,eval] board([8,1,7,2]). given clause #405: (wt=12) 435 [hyper,420,1,6,eval] board([5,8,1,7,2]). given clause #406: (wt=8) 418 [hyper,253,1,4,eval] board([3,7,2]). given clause #407: (wt=10) 438 [hyper,418,1,2,eval] board([1,3,7,2]). given clause #408: (wt=12) 439 [hyper,438,1,9,eval] board([8,1,3,7,2]). given clause #409: (wt=14) 441 [hyper,439,1,5,eval] board([4,8,1,3,7,2]). given clause #410: (wt=14) 440 [hyper,439,1,6,eval] board([5,8,1,3,7,2]). given clause #411: (wt=10) 437 [hyper,418,1,7,eval] board([6,3,7,2]). given clause #412: (wt=12) 442 [hyper,437,1,9,eval] board([8,6,3,7,2]). given clause #413: (wt=14) 444 [hyper,442,1,2,eval] board([1,8,6,3,7,2]). given clause #414: (wt=16) 446 [hyper,444,1,5,eval] board([4,1,8,6,3,7,2]). given clause #415: (wt=16) 445 [hyper,444,1,6,eval] board([5,1,8,6,3,7,2]). given clause #416: (wt=14) 443 [hyper,442,1,6,eval] board([5,8,6,3,7,2]). given clause #417: (wt=16) 447 [hyper,443,1,2,eval] board([1,5,8,6,3,7,2]). -------- PROOF -------- 449 [binary,448.1,11.1] $Ans([4,1,5,8,6,3,7,2]). ----> UNIT CONFLICT at 0.15 sec ----> 449 [binary,448.1,11.1] $Ans([4,1,5,8,6,3,7,2]). Length of proof is 8. Level of proof is 8. ---------------- PROOF ---------------- 1 [] -board(B)| -pick(New_col)| -$TRUE(ok(B,1,New_col))|board([New_col|B]). 2 [] pick(1). 3 [] pick(2). 4 [] pick(3). 5 [] pick(4). 6 [] pick(5). 7 [] pick(6). 8 [] pick(7). 9 [] pick(8). 10 [] board([]). 11 [] -board([X1,X2,X3,X4,X5,X6,X7,X8])|$Ans([X1,X2,X3,X4,X5,X6,X7,X8]). 20 [hyper,10,1,3,eval] board([2]). 253 [hyper,20,1,8,eval] board([7,2]). 418 [hyper,253,1,4,eval] board([3,7,2]). 437 [hyper,418,1,7,eval] board([6,3,7,2]). 442 [hyper,437,1,9,eval] board([8,6,3,7,2]). 443 [hyper,442,1,6,eval] board([5,8,6,3,7,2]). 447 [hyper,443,1,2,eval] board([1,5,8,6,3,7,2]). 448 [hyper,447,1,5,eval] board([4,1,5,8,6,3,7,2]). 449 [binary,448.1,11.1] $Ans([4,1,5,8,6,3,7,2]). ------------ end of proof ------------- given clause #418: (wt=18) 448 [hyper,447,1,5,eval] board([4,1,5,8,6,3,7,2]). given clause #419: (wt=10) 436 [hyper,418,1,9,eval] board([8,3,7,2]). given clause #420: (wt=8) 417 [hyper,253,1,6,eval] board([5,7,2]). given clause #421: (wt=10) 452 [hyper,417,1,2,eval] board([1,5,7,2]). given clause #422: (wt=12) 453 [hyper,452,1,9,eval] board([8,1,5,7,2]). given clause #423: (wt=14) 455 [hyper,453,1,5,eval] board([4,8,1,5,7,2]). given clause #424: (wt=14) 454 [hyper,453,1,7,eval] board([6,8,1,5,7,2]). given clause #425: (wt=16) 456 [hyper,454,1,4,eval] board([3,6,8,1,5,7,2]). given clause #426: (wt=10) 451 [hyper,417,1,4,eval] board([3,5,7,2]). given clause #427: (wt=12) 458 [hyper,451,1,2,eval] board([1,3,5,7,2]). given clause #428: (wt=14) 460 [hyper,458,1,5,eval] board([4,1,3,5,7,2]). given clause #429: (wt=14) 459 [hyper,458,1,7,eval] board([6,1,3,5,7,2]). given clause #430: (wt=16) 461 [hyper,459,1,5,eval] board([4,6,1,3,5,7,2]). given clause #431: (wt=12) 457 [hyper,451,1,9,eval] board([8,3,5,7,2]). given clause #432: (wt=14) 463 [hyper,457,1,5,eval] board([4,8,3,5,7,2]). given clause #433: (wt=14) 462 [hyper,457,1,7,eval] board([6,8,3,5,7,2]). given clause #434: (wt=16) 464 [hyper,462,1,5,eval] board([4,6,8,3,5,7,2]). given clause #435: (wt=10) 450 [hyper,417,1,9,eval] board([8,5,7,2]). given clause #436: (wt=12) 465 [hyper,450,1,2,eval] board([1,8,5,7,2]). given clause #437: (wt=14) 466 [hyper,465,1,5,eval] board([4,1,8,5,7,2]). given clause #438: (wt=16) 467 [hyper,466,1,7,eval] board([6,4,1,8,5,7,2]). -------- PROOF -------- 469 [binary,468.1,11.1] $Ans([3,6,4,1,8,5,7,2]). ----> UNIT CONFLICT at 0.16 sec ----> 469 [binary,468.1,11.1] $Ans([3,6,4,1,8,5,7,2]). Length of proof is 8. Level of proof is 8. ---------------- PROOF ---------------- 1 [] -board(B)| -pick(New_col)| -$TRUE(ok(B,1,New_col))|board([New_col|B]). 2 [] pick(1). 3 [] pick(2). 4 [] pick(3). 5 [] pick(4). 6 [] pick(5). 7 [] pick(6). 8 [] pick(7). 9 [] pick(8). 10 [] board([]). 11 [] -board([X1,X2,X3,X4,X5,X6,X7,X8])|$Ans([X1,X2,X3,X4,X5,X6,X7,X8]). 20 [hyper,10,1,3,eval] board([2]). 253 [hyper,20,1,8,eval] board([7,2]). 417 [hyper,253,1,6,eval] board([5,7,2]). 450 [hyper,417,1,9,eval] board([8,5,7,2]). 465 [hyper,450,1,2,eval] board([1,8,5,7,2]). 466 [hyper,465,1,5,eval] board([4,1,8,5,7,2]). 467 [hyper,466,1,7,eval] board([6,4,1,8,5,7,2]). 468 [hyper,467,1,4,eval] board([3,6,4,1,8,5,7,2]). 469 [binary,468.1,11.1] $Ans([3,6,4,1,8,5,7,2]). ------------ end of proof ------------- given clause #439: (wt=18) 468 [hyper,467,1,4,eval] board([3,6,4,1,8,5,7,2]). given clause #440: (wt=6) 252 [hyper,20,1,9,eval] board([8,2]). given clause #441: (wt=8) 473 [hyper,252,1,2,eval] board([1,8,2]). given clause #442: (wt=10) 476 [hyper,473,1,4,eval] board([3,1,8,2]). given clause #443: (wt=12) 477 [hyper,476,1,8,eval] board([7,3,1,8,2]). given clause #444: (wt=10) 475 [hyper,473,1,5,eval] board([4,1,8,2]). given clause #445: (wt=12) 478 [hyper,475,1,8,eval] board([7,4,1,8,2]). given clause #446: (wt=14) 480 [hyper,478,1,4,eval] board([3,7,4,1,8,2]). given clause #447: (wt=16) 481 [hyper,480,1,7,eval] board([6,3,7,4,1,8,2]). given clause #448: (wt=14) 479 [hyper,478,1,6,eval] board([5,7,4,1,8,2]). given clause #449: (wt=10) 474 [hyper,473,1,8,eval] board([7,1,8,2]). given clause #450: (wt=12) 482 [hyper,474,1,5,eval] board([4,7,1,8,2]). given clause #451: (wt=14) 483 [hyper,482,1,7,eval] board([6,4,7,1,8,2]). given clause #452: (wt=8) 472 [hyper,252,1,4,eval] board([3,8,2]). given clause #453: (wt=10) 485 [hyper,472,1,2,eval] board([1,3,8,2]). given clause #454: (wt=12) 487 [hyper,485,1,5,eval] board([4,1,3,8,2]). given clause #455: (wt=12) 486 [hyper,485,1,8,eval] board([7,1,3,8,2]). given clause #456: (wt=14) 488 [hyper,486,1,6,eval] board([5,7,1,3,8,2]). given clause #457: (wt=10) 484 [hyper,472,1,8,eval] board([7,3,8,2]). given clause #458: (wt=12) 489 [hyper,484,1,5,eval] board([4,7,3,8,2]). given clause #459: (wt=14) 490 [hyper,489,1,2,eval] board([1,4,7,3,8,2]). given clause #460: (wt=16) 491 [hyper,490,1,6,eval] board([5,1,4,7,3,8,2]). given clause #461: (wt=8) 471 [hyper,252,1,6,eval] board([5,8,2]). given clause #462: (wt=10) 494 [hyper,471,1,2,eval] board([1,5,8,2]). given clause #463: (wt=12) 495 [hyper,494,1,5,eval] board([4,1,5,8,2]). given clause #464: (wt=14) 496 [hyper,495,1,7,eval] board([6,4,1,5,8,2]). given clause #465: (wt=10) 493 [hyper,471,1,4,eval] board([3,5,8,2]). given clause #466: (wt=12) 497 [hyper,493,1,2,eval] board([1,3,5,8,2]). given clause #467: (wt=14) 498 [hyper,497,1,7,eval] board([6,1,3,5,8,2]). given clause #468: (wt=16) 499 [hyper,498,1,5,eval] board([4,6,1,3,5,8,2]). given clause #469: (wt=10) 492 [hyper,471,1,8,eval] board([7,5,8,2]). given clause #470: (wt=12) 501 [hyper,492,1,2,eval] board([1,7,5,8,2]). given clause #471: (wt=14) 503 [hyper,501,1,4,eval] board([3,1,7,5,8,2]). given clause #472: (wt=16) 504 [hyper,503,1,7,eval] board([6,3,1,7,5,8,2]). given clause #473: (wt=14) 502 [hyper,501,1,7,eval] board([6,1,7,5,8,2]). given clause #474: (wt=12) 500 [hyper,492,1,5,eval] board([4,7,5,8,2]). given clause #475: (wt=14) 506 [hyper,500,1,2,eval] board([1,4,7,5,8,2]). given clause #476: (wt=14) 505 [hyper,500,1,7,eval] board([6,4,7,5,8,2]). given clause #477: (wt=8) 470 [hyper,252,1,7,eval] board([6,8,2]). given clause #478: (wt=10) 509 [hyper,470,1,2,eval] board([1,6,8,2]). given clause #479: (wt=12) 511 [hyper,509,1,4,eval] board([3,1,6,8,2]). given clause #480: (wt=14) 512 [hyper,511,1,6,eval] board([5,3,1,6,8,2]). given clause #481: (wt=16) 513 [hyper,512,1,8,eval] board([7,5,3,1,6,8,2]). -------- PROOF -------- 515 [binary,514.1,11.1] $Ans([4,7,5,3,1,6,8,2]). ----> UNIT CONFLICT at 0.17 sec ----> 515 [binary,514.1,11.1] $Ans([4,7,5,3,1,6,8,2]). Length of proof is 8. Level of proof is 8. ---------------- PROOF ---------------- 1 [] -board(B)| -pick(New_col)| -$TRUE(ok(B,1,New_col))|board([New_col|B]). 2 [] pick(1). 3 [] pick(2). 4 [] pick(3). 5 [] pick(4). 6 [] pick(5). 7 [] pick(6). 8 [] pick(7). 9 [] pick(8). 10 [] board([]). 11 [] -board([X1,X2,X3,X4,X5,X6,X7,X8])|$Ans([X1,X2,X3,X4,X5,X6,X7,X8]). 20 [hyper,10,1,3,eval] board([2]). 252 [hyper,20,1,9,eval] board([8,2]). 470 [hyper,252,1,7,eval] board([6,8,2]). 509 [hyper,470,1,2,eval] board([1,6,8,2]). 511 [hyper,509,1,4,eval] board([3,1,6,8,2]). 512 [hyper,511,1,6,eval] board([5,3,1,6,8,2]). 513 [hyper,512,1,8,eval] board([7,5,3,1,6,8,2]). 514 [hyper,513,1,5,eval] board([4,7,5,3,1,6,8,2]). 515 [binary,514.1,11.1] $Ans([4,7,5,3,1,6,8,2]). ------------ end of proof ------------- given clause #482: (wt=18) 514 [hyper,513,1,5,eval] board([4,7,5,3,1,6,8,2]). given clause #483: (wt=12) 510 [hyper,509,1,8,eval] board([7,1,6,8,2]). given clause #484: (wt=14) 516 [hyper,510,1,6,eval] board([5,7,1,6,8,2]). given clause #485: (wt=10) 508 [hyper,470,1,4,eval] board([3,6,8,2]). given clause #486: (wt=12) 518 [hyper,508,1,2,eval] board([1,3,6,8,2]). given clause #487: (wt=12) 517 [hyper,508,1,8,eval] board([7,3,6,8,2]). given clause #488: (wt=10) 507 [hyper,470,1,5,eval] board([4,6,8,2]). given clause #489: (wt=12) 520 [hyper,507,1,2,eval] board([1,4,6,8,2]). given clause #490: (wt=14) 521 [hyper,520,1,6,eval] board([5,1,4,6,8,2]). given clause #491: (wt=12) 519 [hyper,507,1,8,eval] board([7,4,6,8,2]). given clause #492: (wt=14) 523 [hyper,519,1,2,eval] board([1,7,4,6,8,2]). given clause #493: (wt=14) 522 [hyper,519,1,6,eval] board([5,7,4,6,8,2]). given clause #494: (wt=4) 19 [hyper,10,1,4,eval] board([3]). given clause #495: (wt=6) 528 [hyper,19,1,2,eval] board([1,3]). given clause #496: (wt=8) 532 [hyper,528,1,5,eval] board([4,1,3]). given clause #497: (wt=10) 535 [hyper,532,1,3,eval] board([2,4,1,3]). given clause #498: (wt=12) 537 [hyper,535,1,6,eval] board([5,2,4,1,3]). given clause #499: (wt=12) 536 [hyper,535,1,9,eval] board([8,2,4,1,3]). given clause #500: (wt=14) 538 [hyper,536,1,7,eval] board([6,8,2,4,1,3]). given clause #501: (wt=10) 534 [hyper,532,1,8,eval] board([7,4,1,3]). given clause #502: (wt=12) 539 [hyper,534,1,6,eval] board([5,7,4,1,3]). given clause #503: (wt=14) 540 [hyper,539,1,3,eval] board([2,5,7,4,1,3]). given clause #504: (wt=10) 533 [hyper,532,1,9,eval] board([8,4,1,3]). given clause #505: (wt=12) 541 [hyper,533,1,6,eval] board([5,8,4,1,3]). given clause #506: (wt=14) 542 [hyper,541,1,3,eval] board([2,5,8,4,1,3]). given clause #507: (wt=8) 531 [hyper,528,1,7,eval] board([6,1,3]). given clause #508: (wt=10) 545 [hyper,531,1,3,eval] board([2,6,1,3]). given clause #509: (wt=12) 546 [hyper,545,1,6,eval] board([5,2,6,1,3]). given clause #510: (wt=14) 547 [hyper,546,1,8,eval] board([7,5,2,6,1,3]). given clause #511: (wt=16) 548 [hyper,547,1,5,eval] board([4,7,5,2,6,1,3]). given clause #512: (wt=10) 544 [hyper,531,1,5,eval] board([4,6,1,3]). given clause #513: (wt=12) 549 [hyper,544,1,3,eval] board([2,4,6,1,3]). given clause #514: (wt=14) 550 [hyper,549,1,8,eval] board([7,2,4,6,1,3]). given clause #515: (wt=16) 551 [hyper,550,1,6,eval] board([5,7,2,4,6,1,3]). given clause #516: (wt=10) 543 [hyper,531,1,9,eval] board([8,6,1,3]). given clause #517: (wt=12) 553 [hyper,543,1,3,eval] board([2,8,6,1,3]). given clause #518: (wt=14) 555 [hyper,553,1,5,eval] board([4,2,8,6,1,3]). given clause #519: (wt=16) 556 [hyper,555,1,8,eval] board([7,4,2,8,6,1,3]). given clause #520: (wt=14) 554 [hyper,553,1,8,eval] board([7,2,8,6,1,3]). given clause #521: (wt=12) 552 [hyper,543,1,6,eval] board([5,8,6,1,3]). given clause #522: (wt=14) 558 [hyper,552,1,3,eval] board([2,5,8,6,1,3]). given clause #523: (wt=16) 559 [hyper,558,1,5,eval] board([4,2,5,8,6,1,3]). given clause #524: (wt=14) 557 [hyper,552,1,8,eval] board([7,5,8,6,1,3]). given clause #525: (wt=16) 560 [hyper,557,1,5,eval] board([4,7,5,8,6,1,3]). given clause #526: (wt=8) 530 [hyper,528,1,8,eval] board([7,1,3]). given clause #527: (wt=10) 563 [hyper,530,1,3,eval] board([2,7,1,3]). given clause #528: (wt=12) 565 [hyper,563,1,7,eval] board([6,2,7,1,3]). given clause #529: (wt=12) 564 [hyper,563,1,9,eval] board([8,2,7,1,3]). given clause #530: (wt=14) 566 [hyper,564,1,7,eval] board([6,8,2,7,1,3]). given clause #531: (wt=16) 567 [hyper,566,1,5,eval] board([4,6,8,2,7,1,3]). given clause #532: (wt=10) 562 [hyper,530,1,5,eval] board([4,7,1,3]). given clause #533: (wt=12) 570 [hyper,562,1,3,eval] board([2,4,7,1,3]). given clause #534: (wt=12) 569 [hyper,562,1,7,eval] board([6,4,7,1,3]). given clause #535: (wt=12) 568 [hyper,562,1,9,eval] board([8,4,7,1,3]). given clause #536: (wt=10) 561 [hyper,530,1,6,eval] board([5,7,1,3]). given clause #537: (wt=12) 572 [hyper,561,1,3,eval] board([2,5,7,1,3]). given clause #538: (wt=14) 573 [hyper,572,1,7,eval] board([6,2,5,7,1,3]). given clause #539: (wt=12) 571 [hyper,561,1,9,eval] board([8,5,7,1,3]). given clause #540: (wt=14) 575 [hyper,571,1,3,eval] board([2,8,5,7,1,3]). given clause #541: (wt=16) 576 [hyper,575,1,5,eval] board([4,2,8,5,7,1,3]). -------- PROOF -------- 578 [binary,577.1,11.1] $Ans([6,4,2,8,5,7,1,3]). ----> UNIT CONFLICT at 0.20 sec ----> 578 [binary,577.1,11.1] $Ans([6,4,2,8,5,7,1,3]). Length of proof is 8. Level of proof is 8. ---------------- PROOF ---------------- 1 [] -board(B)| -pick(New_col)| -$TRUE(ok(B,1,New_col))|board([New_col|B]). 2 [] pick(1). 3 [] pick(2). 4 [] pick(3). 5 [] pick(4). 6 [] pick(5). 7 [] pick(6). 8 [] pick(7). 9 [] pick(8). 10 [] board([]). 11 [] -board([X1,X2,X3,X4,X5,X6,X7,X8])|$Ans([X1,X2,X3,X4,X5,X6,X7,X8]). 19 [hyper,10,1,4,eval] board([3]). 528 [hyper,19,1,2,eval] board([1,3]). 530 [hyper,528,1,8,eval] board([7,1,3]). 561 [hyper,530,1,6,eval] board([5,7,1,3]). 571 [hyper,561,1,9,eval] board([8,5,7,1,3]). 575 [hyper,571,1,3,eval] board([2,8,5,7,1,3]). 576 [hyper,575,1,5,eval] board([4,2,8,5,7,1,3]). 577 [hyper,576,1,7,eval] board([6,4,2,8,5,7,1,3]). 578 [binary,577.1,11.1] $Ans([6,4,2,8,5,7,1,3]). ------------ end of proof ------------- given clause #542: (wt=18) 577 [hyper,576,1,7,eval] board([6,4,2,8,5,7,1,3]). given clause #543: (wt=14) 574 [hyper,571,1,7,eval] board([6,8,5,7,1,3]). given clause #544: (wt=16) 579 [hyper,574,1,5,eval] board([4,6,8,5,7,1,3]). given clause #545: (wt=8) 529 [hyper,528,1,9,eval] board([8,1,3]). given clause #546: (wt=10) 582 [hyper,529,1,3,eval] board([2,8,1,3]). given clause #547: (wt=12) 583 [hyper,582,1,6,eval] board([5,2,8,1,3]). given clause #548: (wt=14) 584 [hyper,583,1,8,eval] board([7,5,2,8,1,3]). given clause #549: (wt=10) 581 [hyper,529,1,5,eval] board([4,8,1,3]). given clause #550: (wt=12) 585 [hyper,581,1,3,eval] board([2,4,8,1,3]). given clause #551: (wt=14) 586 [hyper,585,1,8,eval] board([7,2,4,8,1,3]). given clause #552: (wt=16) 587 [hyper,586,1,6,eval] board([5,7,2,4,8,1,3]). given clause #553: (wt=10) 580 [hyper,529,1,6,eval] board([5,8,1,3]). given clause #554: (wt=12) 588 [hyper,580,1,3,eval] board([2,5,8,1,3]). given clause #555: (wt=14) 590 [hyper,588,1,5,eval] board([4,2,5,8,1,3]). given clause #556: (wt=16) 591 [hyper,590,1,8,eval] board([7,4,2,5,8,1,3]). given clause #557: (wt=14) 589 [hyper,588,1,7,eval] board([6,2,5,8,1,3]). given clause #558: (wt=6) 527 [hyper,19,1,6,eval] board([5,3]). given clause #559: (wt=8) 594 [hyper,527,1,3,eval] board([2,5,3]). given clause #560: (wt=10) 596 [hyper,594,1,5,eval] board([4,2,5,3]). given clause #561: (wt=12) 598 [hyper,596,1,2,eval] board([1,4,2,5,3]). given clause #562: (wt=14) 599 [hyper,598,1,8,eval] board([7,1,4,2,5,3]). given clause #563: (wt=12) 597 [hyper,596,1,7,eval] board([6,4,2,5,3]). given clause #564: (wt=10) 595 [hyper,594,1,9,eval] board([8,2,5,3]). given clause #565: (wt=12) 601 [hyper,595,1,2,eval] board([1,8,2,5,3]). given clause #566: (wt=14) 603 [hyper,601,1,5,eval] board([4,1,8,2,5,3]). given clause #567: (wt=16) 604 [hyper,603,1,8,eval] board([7,4,1,8,2,5,3]). given clause #568: (wt=14) 602 [hyper,601,1,8,eval] board([7,1,8,2,5,3]). given clause #569: (wt=16) 605 [hyper,602,1,5,eval] board([4,7,1,8,2,5,3]). -------- PROOF -------- 607 [binary,606.1,11.1] $Ans([6,4,7,1,8,2,5,3]). ----> UNIT CONFLICT at 0.21 sec ----> 607 [binary,606.1,11.1] $Ans([6,4,7,1,8,2,5,3]). Length of proof is 8. Level of proof is 8. ---------------- PROOF ---------------- 1 [] -board(B)| -pick(New_col)| -$TRUE(ok(B,1,New_col))|board([New_col|B]). 2 [] pick(1). 3 [] pick(2). 4 [] pick(3). 5 [] pick(4). 6 [] pick(5). 7 [] pick(6). 8 [] pick(7). 9 [] pick(8). 10 [] board([]). 11 [] -board([X1,X2,X3,X4,X5,X6,X7,X8])|$Ans([X1,X2,X3,X4,X5,X6,X7,X8]). 19 [hyper,10,1,4,eval] board([3]). 527 [hyper,19,1,6,eval] board([5,3]). 594 [hyper,527,1,3,eval] board([2,5,3]). 595 [hyper,594,1,9,eval] board([8,2,5,3]). 601 [hyper,595,1,2,eval] board([1,8,2,5,3]). 602 [hyper,601,1,8,eval] board([7,1,8,2,5,3]). 605 [hyper,602,1,5,eval] board([4,7,1,8,2,5,3]). 606 [hyper,605,1,7,eval] board([6,4,7,1,8,2,5,3]). 607 [binary,606.1,11.1] $Ans([6,4,7,1,8,2,5,3]). ------------ end of proof ------------- given clause #570: (wt=18) 606 [hyper,605,1,7,eval] board([6,4,7,1,8,2,5,3]). given clause #571: (wt=12) 600 [hyper,595,1,7,eval] board([6,8,2,5,3]). given clause #572: (wt=14) 608 [hyper,600,1,5,eval] board([4,6,8,2,5,3]). given clause #573: (wt=16) 610 [hyper,608,1,2,eval] board([1,4,6,8,2,5,3]). given clause #574: (wt=16) 609 [hyper,608,1,8,eval] board([7,4,6,8,2,5,3]). -------- PROOF -------- 612 [binary,611.1,11.1] $Ans([1,7,4,6,8,2,5,3]). ----> UNIT CONFLICT at 0.21 sec ----> 612 [binary,611.1,11.1] $Ans([1,7,4,6,8,2,5,3]). Length of proof is 8. Level of proof is 8. ---------------- PROOF ---------------- 1 [] -board(B)| -pick(New_col)| -$TRUE(ok(B,1,New_col))|board([New_col|B]). 2 [] pick(1). 3 [] pick(2). 4 [] pick(3). 5 [] pick(4). 6 [] pick(5). 7 [] pick(6). 8 [] pick(7). 9 [] pick(8). 10 [] board([]). 11 [] -board([X1,X2,X3,X4,X5,X6,X7,X8])|$Ans([X1,X2,X3,X4,X5,X6,X7,X8]). 19 [hyper,10,1,4,eval] board([3]). 527 [hyper,19,1,6,eval] board([5,3]). 594 [hyper,527,1,3,eval] board([2,5,3]). 595 [hyper,594,1,9,eval] board([8,2,5,3]). 600 [hyper,595,1,7,eval] board([6,8,2,5,3]). 608 [hyper,600,1,5,eval] board([4,6,8,2,5,3]). 609 [hyper,608,1,8,eval] board([7,4,6,8,2,5,3]). 611 [hyper,609,1,2,eval] board([1,7,4,6,8,2,5,3]). 612 [binary,611.1,11.1] $Ans([1,7,4,6,8,2,5,3]). ------------ end of proof ------------- given clause #575: (wt=18) 611 [hyper,609,1,2,eval] board([1,7,4,6,8,2,5,3]). given clause #576: (wt=8) 593 [hyper,527,1,8,eval] board([7,5,3]). given clause #577: (wt=10) 615 [hyper,593,1,2,eval] board([1,7,5,3]). given clause #578: (wt=12) 617 [hyper,615,1,5,eval] board([4,1,7,5,3]). given clause #579: (wt=14) 619 [hyper,617,1,3,eval] board([2,4,1,7,5,3]). given clause #580: (wt=16) 620 [hyper,619,1,9,eval] board([8,2,4,1,7,5,3]). -------- PROOF -------- 622 [binary,621.1,11.1] $Ans([6,8,2,4,1,7,5,3]). ----> UNIT CONFLICT at 0.21 sec ----> 622 [binary,621.1,11.1] $Ans([6,8,2,4,1,7,5,3]). Length of proof is 8. Level of proof is 8. ---------------- PROOF ---------------- 1 [] -board(B)| -pick(New_col)| -$TRUE(ok(B,1,New_col))|board([New_col|B]). 2 [] pick(1). 3 [] pick(2). 4 [] pick(3). 5 [] pick(4). 6 [] pick(5). 7 [] pick(6). 8 [] pick(7). 9 [] pick(8). 10 [] board([]). 11 [] -board([X1,X2,X3,X4,X5,X6,X7,X8])|$Ans([X1,X2,X3,X4,X5,X6,X7,X8]). 19 [hyper,10,1,4,eval] board([3]). 527 [hyper,19,1,6,eval] board([5,3]). 593 [hyper,527,1,8,eval] board([7,5,3]). 615 [hyper,593,1,2,eval] board([1,7,5,3]). 617 [hyper,615,1,5,eval] board([4,1,7,5,3]). 619 [hyper,617,1,3,eval] board([2,4,1,7,5,3]). 620 [hyper,619,1,9,eval] board([8,2,4,1,7,5,3]). 621 [hyper,620,1,7,eval] board([6,8,2,4,1,7,5,3]). 622 [binary,621.1,11.1] $Ans([6,8,2,4,1,7,5,3]). ------------ end of proof ------------- given clause #581: (wt=18) 621 [hyper,620,1,7,eval] board([6,8,2,4,1,7,5,3]). given clause #582: (wt=14) 618 [hyper,617,1,7,eval] board([6,4,1,7,5,3]). given clause #583: (wt=16) 623 [hyper,618,1,9,eval] board([8,6,4,1,7,5,3]). given clause #584: (wt=12) 616 [hyper,615,1,7,eval] board([6,1,7,5,3]). given clause #585: (wt=14) 624 [hyper,616,1,3,eval] board([2,6,1,7,5,3]). given clause #586: (wt=10) 614 [hyper,593,1,3,eval] board([2,7,5,3]). given clause #587: (wt=12) 626 [hyper,614,1,5,eval] board([4,2,7,5,3]). given clause #588: (wt=14) 627 [hyper,626,1,7,eval] board([6,4,2,7,5,3]). given clause #589: (wt=16) 629 [hyper,627,1,2,eval] board([1,6,4,2,7,5,3]). given clause #590: (wt=16) 628 [hyper,627,1,9,eval] board([8,6,4,2,7,5,3]). given clause #591: (wt=12) 625 [hyper,614,1,7,eval] board([6,2,7,5,3]). given clause #592: (wt=10) 613 [hyper,593,1,5,eval] board([4,7,5,3]). given clause #593: (wt=12) 631 [hyper,613,1,2,eval] board([1,4,7,5,3]). given clause #594: (wt=12) 630 [hyper,613,1,7,eval] board([6,4,7,5,3]). given clause #595: (wt=8) 592 [hyper,527,1,9,eval] board([8,5,3]). given clause #596: (wt=10) 634 [hyper,592,1,2,eval] board([1,8,5,3]). given clause #597: (wt=12) 635 [hyper,634,1,5,eval] board([4,1,8,5,3]). given clause #598: (wt=14) 638 [hyper,635,1,3,eval] board([2,4,1,8,5,3]). given clause #599: (wt=16) 639 [hyper,638,1,8,eval] board([7,2,4,1,8,5,3]). given clause #600: (wt=14) 637 [hyper,635,1,7,eval] board([6,4,1,8,5,3]). given clause #601: (wt=14) 636 [hyper,635,1,8,eval] board([7,4,1,8,5,3]). given clause #602: (wt=10) 633 [hyper,592,1,3,eval] board([2,8,5,3]). given clause #603: (wt=12) 640 [hyper,633,1,5,eval] board([4,2,8,5,3]). given clause #604: (wt=14) 642 [hyper,640,1,7,eval] board([6,4,2,8,5,3]). given clause #605: (wt=16) 643 [hyper,642,1,2,eval] board([1,6,4,2,8,5,3]). given clause #606: (wt=14) 641 [hyper,640,1,8,eval] board([7,4,2,8,5,3]). given clause #607: (wt=16) 644 [hyper,641,1,2,eval] board([1,7,4,2,8,5,3]). given clause #608: (wt=10) 632 [hyper,592,1,5,eval] board([4,8,5,3]). given clause #609: (wt=12) 645 [hyper,632,1,2,eval] board([1,4,8,5,3]). given clause #610: (wt=14) 646 [hyper,645,1,8,eval] board([7,1,4,8,5,3]). given clause #611: (wt=16) 647 [hyper,646,1,3,eval] board([2,7,1,4,8,5,3]). -------- PROOF -------- 649 [binary,648.1,11.1] $Ans([6,2,7,1,4,8,5,3]). ----> UNIT CONFLICT at 0.23 sec ----> 649 [binary,648.1,11.1] $Ans([6,2,7,1,4,8,5,3]). Length of proof is 8. Level of proof is 8. ---------------- PROOF ---------------- 1 [] -board(B)| -pick(New_col)| -$TRUE(ok(B,1,New_col))|board([New_col|B]). 2 [] pick(1). 3 [] pick(2). 4 [] pick(3). 5 [] pick(4). 6 [] pick(5). 7 [] pick(6). 8 [] pick(7). 9 [] pick(8). 10 [] board([]). 11 [] -board([X1,X2,X3,X4,X5,X6,X7,X8])|$Ans([X1,X2,X3,X4,X5,X6,X7,X8]). 19 [hyper,10,1,4,eval] board([3]). 527 [hyper,19,1,6,eval] board([5,3]). 592 [hyper,527,1,9,eval] board([8,5,3]). 632 [hyper,592,1,5,eval] board([4,8,5,3]). 645 [hyper,632,1,2,eval] board([1,4,8,5,3]). 646 [hyper,645,1,8,eval] board([7,1,4,8,5,3]). 647 [hyper,646,1,3,eval] board([2,7,1,4,8,5,3]). 648 [hyper,647,1,7,eval] board([6,2,7,1,4,8,5,3]). 649 [binary,648.1,11.1] $Ans([6,2,7,1,4,8,5,3]). ------------ end of proof ------------- given clause #612: (wt=18) 648 [hyper,647,1,7,eval] board([6,2,7,1,4,8,5,3]). given clause #613: (wt=6) 526 [hyper,19,1,7,eval] board([6,3]). given clause #614: (wt=8) 652 [hyper,526,1,3,eval] board([2,6,3]). given clause #615: (wt=10) 654 [hyper,652,1,6,eval] board([5,2,6,3]). given clause #616: (wt=12) 656 [hyper,654,1,2,eval] board([1,5,2,6,3]). given clause #617: (wt=14) 657 [hyper,656,1,5,eval] board([4,1,5,2,6,3]). given clause #618: (wt=16) 658 [hyper,657,1,8,eval] board([7,4,1,5,2,6,3]). given clause #619: (wt=12) 655 [hyper,654,1,9,eval] board([8,5,2,6,3]). given clause #620: (wt=14) 660 [hyper,655,1,2,eval] board([1,8,5,2,6,3]). given clause #621: (wt=16) 662 [hyper,660,1,5,eval] board([4,1,8,5,2,6,3]). given clause #622: (wt=16) 661 [hyper,660,1,8,eval] board([7,1,8,5,2,6,3]). -------- PROOF -------- 664 [binary,663.1,11.1] $Ans([4,7,1,8,5,2,6,3]). ----> UNIT CONFLICT at 0.23 sec ----> 664 [binary,663.1,11.1] $Ans([4,7,1,8,5,2,6,3]). Length of proof is 8. Level of proof is 8. ---------------- PROOF ---------------- 1 [] -board(B)| -pick(New_col)| -$TRUE(ok(B,1,New_col))|board([New_col|B]). 2 [] pick(1). 3 [] pick(2). 4 [] pick(3). 5 [] pick(4). 6 [] pick(5). 7 [] pick(6). 8 [] pick(7). 9 [] pick(8). 10 [] board([]). 11 [] -board([X1,X2,X3,X4,X5,X6,X7,X8])|$Ans([X1,X2,X3,X4,X5,X6,X7,X8]). 19 [hyper,10,1,4,eval] board([3]). 526 [hyper,19,1,7,eval] board([6,3]). 652 [hyper,526,1,3,eval] board([2,6,3]). 654 [hyper,652,1,6,eval] board([5,2,6,3]). 655 [hyper,654,1,9,eval] board([8,5,2,6,3]). 660 [hyper,655,1,2,eval] board([1,8,5,2,6,3]). 661 [hyper,660,1,8,eval] board([7,1,8,5,2,6,3]). 663 [hyper,661,1,5,eval] board([4,7,1,8,5,2,6,3]). 664 [binary,663.1,11.1] $Ans([4,7,1,8,5,2,6,3]). ------------ end of proof ------------- given clause #623: (wt=18) 663 [hyper,661,1,5,eval] board([4,7,1,8,5,2,6,3]). given clause #624: (wt=14) 659 [hyper,655,1,5,eval] board([4,8,5,2,6,3]). given clause #625: (wt=16) 665 [hyper,659,1,8,eval] board([7,4,8,5,2,6,3]). given clause #626: (wt=10) 653 [hyper,652,1,8,eval] board([7,2,6,3]). given clause #627: (wt=12) 667 [hyper,653,1,2,eval] board([1,7,2,6,3]). given clause #628: (wt=14) 668 [hyper,667,1,5,eval] board([4,1,7,2,6,3]). given clause #629: (wt=16) 669 [hyper,668,1,9,eval] board([8,4,1,7,2,6,3]). -------- PROOF -------- 671 [binary,670.1,11.1] $Ans([5,8,4,1,7,2,6,3]). ----> UNIT CONFLICT at 0.23 sec ----> 671 [binary,670.1,11.1] $Ans([5,8,4,1,7,2,6,3]). Length of proof is 8. Level of proof is 8. ---------------- PROOF ---------------- 1 [] -board(B)| -pick(New_col)| -$TRUE(ok(B,1,New_col))|board([New_col|B]). 2 [] pick(1). 3 [] pick(2). 4 [] pick(3). 5 [] pick(4). 6 [] pick(5). 7 [] pick(6). 8 [] pick(7). 9 [] pick(8). 10 [] board([]). 11 [] -board([X1,X2,X3,X4,X5,X6,X7,X8])|$Ans([X1,X2,X3,X4,X5,X6,X7,X8]). 19 [hyper,10,1,4,eval] board([3]). 526 [hyper,19,1,7,eval] board([6,3]). 652 [hyper,526,1,3,eval] board([2,6,3]). 653 [hyper,652,1,8,eval] board([7,2,6,3]). 667 [hyper,653,1,2,eval] board([1,7,2,6,3]). 668 [hyper,667,1,5,eval] board([4,1,7,2,6,3]). 669 [hyper,668,1,9,eval] board([8,4,1,7,2,6,3]). 670 [hyper,669,1,6,eval] board([5,8,4,1,7,2,6,3]). 671 [binary,670.1,11.1] $Ans([5,8,4,1,7,2,6,3]). ------------ end of proof ------------- given clause #630: (wt=18) 670 [hyper,669,1,6,eval] board([5,8,4,1,7,2,6,3]). given clause #631: (wt=12) 666 [hyper,653,1,6,eval] board([5,7,2,6,3]). given clause #632: (wt=14) 672 [hyper,666,1,2,eval] board([1,5,7,2,6,3]). given clause #633: (wt=16) 673 [hyper,672,1,9,eval] board([8,1,5,7,2,6,3]). -------- PROOF -------- 675 [binary,674.1,11.1] $Ans([4,8,1,5,7,2,6,3]). ----> UNIT CONFLICT at 0.23 sec ----> 675 [binary,674.1,11.1] $Ans([4,8,1,5,7,2,6,3]). Length of proof is 8. Level of proof is 8. ---------------- PROOF ---------------- 1 [] -board(B)| -pick(New_col)| -$TRUE(ok(B,1,New_col))|board([New_col|B]). 2 [] pick(1). 3 [] pick(2). 4 [] pick(3). 5 [] pick(4). 6 [] pick(5). 7 [] pick(6). 8 [] pick(7). 9 [] pick(8). 10 [] board([]). 11 [] -board([X1,X2,X3,X4,X5,X6,X7,X8])|$Ans([X1,X2,X3,X4,X5,X6,X7,X8]). 19 [hyper,10,1,4,eval] board([3]). 526 [hyper,19,1,7,eval] board([6,3]). 652 [hyper,526,1,3,eval] board([2,6,3]). 653 [hyper,652,1,8,eval] board([7,2,6,3]). 666 [hyper,653,1,6,eval] board([5,7,2,6,3]). 672 [hyper,666,1,2,eval] board([1,5,7,2,6,3]). 673 [hyper,672,1,9,eval] board([8,1,5,7,2,6,3]). 674 [hyper,673,1,5,eval] board([4,8,1,5,7,2,6,3]). 675 [binary,674.1,11.1] $Ans([4,8,1,5,7,2,6,3]). ------------ end of proof ------------- given clause #634: (wt=18) 674 [hyper,673,1,5,eval] board([4,8,1,5,7,2,6,3]). given clause #635: (wt=8) 651 [hyper,526,1,5,eval] board([4,6,3]). given clause #636: (wt=10) 678 [hyper,651,1,2,eval] board([1,4,6,3]). given clause #637: (wt=12) 680 [hyper,678,1,6,eval] board([5,1,4,6,3]). given clause #638: (wt=12) 679 [hyper,678,1,9,eval] board([8,1,4,6,3]). given clause #639: (wt=14) 681 [hyper,679,1,6,eval] board([5,8,1,4,6,3]). given clause #640: (wt=16) 683 [hyper,681,1,3,eval] board([2,5,8,1,4,6,3]). given clause #641: (wt=16) 682 [hyper,681,1,8,eval] board([7,5,8,1,4,6,3]). -------- PROOF -------- 685 [binary,684.1,11.1] $Ans([2,7,5,8,1,4,6,3]). ----> UNIT CONFLICT at 0.24 sec ----> 685 [binary,684.1,11.1] $Ans([2,7,5,8,1,4,6,3]). Length of proof is 8. Level of proof is 8. ---------------- PROOF ---------------- 1 [] -board(B)| -pick(New_col)| -$TRUE(ok(B,1,New_col))|board([New_col|B]). 2 [] pick(1). 3 [] pick(2). 4 [] pick(3). 5 [] pick(4). 6 [] pick(5). 7 [] pick(6). 8 [] pick(7). 9 [] pick(8). 10 [] board([]). 11 [] -board([X1,X2,X3,X4,X5,X6,X7,X8])|$Ans([X1,X2,X3,X4,X5,X6,X7,X8]). 19 [hyper,10,1,4,eval] board([3]). 526 [hyper,19,1,7,eval] board([6,3]). 651 [hyper,526,1,5,eval] board([4,6,3]). 678 [hyper,651,1,2,eval] board([1,4,6,3]). 679 [hyper,678,1,9,eval] board([8,1,4,6,3]). 681 [hyper,679,1,6,eval] board([5,8,1,4,6,3]). 682 [hyper,681,1,8,eval] board([7,5,8,1,4,6,3]). 684 [hyper,682,1,3,eval] board([2,7,5,8,1,4,6,3]). 685 [binary,684.1,11.1] $Ans([2,7,5,8,1,4,6,3]). ------------ end of proof ------------- given clause #642: (wt=18) 684 [hyper,682,1,3,eval] board([2,7,5,8,1,4,6,3]). given clause #643: (wt=10) 677 [hyper,651,1,3,eval] board([2,4,6,3]). given clause #644: (wt=12) 687 [hyper,677,1,6,eval] board([5,2,4,6,3]). given clause #645: (wt=12) 686 [hyper,677,1,9,eval] board([8,2,4,6,3]). given clause #646: (wt=14) 688 [hyper,686,1,6,eval] board([5,8,2,4,6,3]). given clause #647: (wt=16) 689 [hyper,688,1,8,eval] board([7,5,8,2,4,6,3]). -------- PROOF -------- 691 [binary,690.1,11.1] $Ans([1,7,5,8,2,4,6,3]). ----> UNIT CONFLICT at 0.24 sec ----> 691 [binary,690.1,11.1] $Ans([1,7,5,8,2,4,6,3]). Length of proof is 8. Level of proof is 8. ---------------- PROOF ---------------- 1 [] -board(B)| -pick(New_col)| -$TRUE(ok(B,1,New_col))|board([New_col|B]). 2 [] pick(1). 3 [] pick(2). 4 [] pick(3). 5 [] pick(4). 6 [] pick(5). 7 [] pick(6). 8 [] pick(7). 9 [] pick(8). 10 [] board([]). 11 [] -board([X1,X2,X3,X4,X5,X6,X7,X8])|$Ans([X1,X2,X3,X4,X5,X6,X7,X8]). 19 [hyper,10,1,4,eval] board([3]). 526 [hyper,19,1,7,eval] board([6,3]). 651 [hyper,526,1,5,eval] board([4,6,3]). 677 [hyper,651,1,3,eval] board([2,4,6,3]). 686 [hyper,677,1,9,eval] board([8,2,4,6,3]). 688 [hyper,686,1,6,eval] board([5,8,2,4,6,3]). 689 [hyper,688,1,8,eval] board([7,5,8,2,4,6,3]). 690 [hyper,689,1,2,eval] board([1,7,5,8,2,4,6,3]). 691 [binary,690.1,11.1] $Ans([1,7,5,8,2,4,6,3]). ------------ end of proof ------------- given clause #648: (wt=18) 690 [hyper,689,1,2,eval] board([1,7,5,8,2,4,6,3]). given clause #649: (wt=10) 676 [hyper,651,1,8,eval] board([7,4,6,3]). given clause #650: (wt=12) 693 [hyper,676,1,2,eval] board([1,7,4,6,3]). given clause #651: (wt=12) 692 [hyper,676,1,6,eval] board([5,7,4,6,3]). given clause #652: (wt=8) 650 [hyper,526,1,9,eval] board([8,6,3]). given clause #653: (wt=10) 696 [hyper,650,1,2,eval] board([1,8,6,3]). given clause #654: (wt=12) 698 [hyper,696,1,5,eval] board([4,1,8,6,3]). given clause #655: (wt=14) 699 [hyper,698,1,8,eval] board([7,4,1,8,6,3]). given clause #656: (wt=16) 700 [hyper,699,1,6,eval] board([5,7,4,1,8,6,3]). -------- PROOF -------- 702 [binary,701.1,11.1] $Ans([2,5,7,4,1,8,6,3]). ----> UNIT CONFLICT at 0.24 sec ----> 702 [binary,701.1,11.1] $Ans([2,5,7,4,1,8,6,3]). Length of proof is 8. Level of proof is 8. ---------------- PROOF ---------------- 1 [] -board(B)| -pick(New_col)| -$TRUE(ok(B,1,New_col))|board([New_col|B]). 2 [] pick(1). 3 [] pick(2). 4 [] pick(3). 5 [] pick(4). 6 [] pick(5). 7 [] pick(6). 8 [] pick(7). 9 [] pick(8). 10 [] board([]). 11 [] -board([X1,X2,X3,X4,X5,X6,X7,X8])|$Ans([X1,X2,X3,X4,X5,X6,X7,X8]). 19 [hyper,10,1,4,eval] board([3]). 526 [hyper,19,1,7,eval] board([6,3]). 650 [hyper,526,1,9,eval] board([8,6,3]). 696 [hyper,650,1,2,eval] board([1,8,6,3]). 698 [hyper,696,1,5,eval] board([4,1,8,6,3]). 699 [hyper,698,1,8,eval] board([7,4,1,8,6,3]). 700 [hyper,699,1,6,eval] board([5,7,4,1,8,6,3]). 701 [hyper,700,1,3,eval] board([2,5,7,4,1,8,6,3]). 702 [binary,701.1,11.1] $Ans([2,5,7,4,1,8,6,3]). ------------ end of proof ------------- given clause #657: (wt=18) 701 [hyper,700,1,3,eval] board([2,5,7,4,1,8,6,3]). given clause #658: (wt=12) 697 [hyper,696,1,6,eval] board([5,1,8,6,3]). given clause #659: (wt=14) 703 [hyper,697,1,8,eval] board([7,5,1,8,6,3]). given clause #660: (wt=16) 704 [hyper,703,1,3,eval] board([2,7,5,1,8,6,3]). -------- PROOF -------- 706 [binary,705.1,11.1] $Ans([4,2,7,5,1,8,6,3]). ----> UNIT CONFLICT at 0.25 sec ----> 706 [binary,705.1,11.1] $Ans([4,2,7,5,1,8,6,3]). Length of proof is 8. Level of proof is 8. ---------------- PROOF ---------------- 1 [] -board(B)| -pick(New_col)| -$TRUE(ok(B,1,New_col))|board([New_col|B]). 2 [] pick(1). 3 [] pick(2). 4 [] pick(3). 5 [] pick(4). 6 [] pick(5). 7 [] pick(6). 8 [] pick(7). 9 [] pick(8). 10 [] board([]). 11 [] -board([X1,X2,X3,X4,X5,X6,X7,X8])|$Ans([X1,X2,X3,X4,X5,X6,X7,X8]). 19 [hyper,10,1,4,eval] board([3]). 526 [hyper,19,1,7,eval] board([6,3]). 650 [hyper,526,1,9,eval] board([8,6,3]). 696 [hyper,650,1,2,eval] board([1,8,6,3]). 697 [hyper,696,1,6,eval] board([5,1,8,6,3]). 703 [hyper,697,1,8,eval] board([7,5,1,8,6,3]). 704 [hyper,703,1,3,eval] board([2,7,5,1,8,6,3]). 705 [hyper,704,1,5,eval] board([4,2,7,5,1,8,6,3]). 706 [binary,705.1,11.1] $Ans([4,2,7,5,1,8,6,3]). ------------ end of proof ------------- given clause #661: (wt=18) 705 [hyper,704,1,5,eval] board([4,2,7,5,1,8,6,3]). given clause #662: (wt=10) 695 [hyper,650,1,3,eval] board([2,8,6,3]). given clause #663: (wt=12) 708 [hyper,695,1,5,eval] board([4,2,8,6,3]). given clause #664: (wt=14) 710 [hyper,708,1,2,eval] board([1,4,2,8,6,3]). given clause #665: (wt=16) 711 [hyper,710,1,8,eval] board([7,1,4,2,8,6,3]). -------- PROOF -------- 713 [binary,712.1,11.1] $Ans([5,7,1,4,2,8,6,3]). ----> UNIT CONFLICT at 0.25 sec ----> 713 [binary,712.1,11.1] $Ans([5,7,1,4,2,8,6,3]). Length of proof is 8. Level of proof is 8. ---------------- PROOF ---------------- 1 [] -board(B)| -pick(New_col)| -$TRUE(ok(B,1,New_col))|board([New_col|B]). 2 [] pick(1). 3 [] pick(2). 4 [] pick(3). 5 [] pick(4). 6 [] pick(5). 7 [] pick(6). 8 [] pick(7). 9 [] pick(8). 10 [] board([]). 11 [] -board([X1,X2,X3,X4,X5,X6,X7,X8])|$Ans([X1,X2,X3,X4,X5,X6,X7,X8]). 19 [hyper,10,1,4,eval] board([3]). 526 [hyper,19,1,7,eval] board([6,3]). 650 [hyper,526,1,9,eval] board([8,6,3]). 695 [hyper,650,1,3,eval] board([2,8,6,3]). 708 [hyper,695,1,5,eval] board([4,2,8,6,3]). 710 [hyper,708,1,2,eval] board([1,4,2,8,6,3]). 711 [hyper,710,1,8,eval] board([7,1,4,2,8,6,3]). 712 [hyper,711,1,6,eval] board([5,7,1,4,2,8,6,3]). 713 [binary,712.1,11.1] $Ans([5,7,1,4,2,8,6,3]). ------------ end of proof ------------- given clause #666: (wt=18) 712 [hyper,711,1,6,eval] board([5,7,1,4,2,8,6,3]). given clause #667: (wt=14) 709 [hyper,708,1,8,eval] board([7,4,2,8,6,3]). given clause #668: (wt=12) 707 [hyper,695,1,6,eval] board([5,2,8,6,3]). given clause #669: (wt=14) 715 [hyper,707,1,2,eval] board([1,5,2,8,6,3]). given clause #670: (wt=14) 714 [hyper,707,1,8,eval] board([7,5,2,8,6,3]). given clause #671: (wt=10) 694 [hyper,650,1,6,eval] board([5,8,6,3]). given clause #672: (wt=12) 717 [hyper,694,1,2,eval] board([1,5,8,6,3]). given clause #673: (wt=14) 718 [hyper,717,1,5,eval] board([4,1,5,8,6,3]). given clause #674: (wt=16) 719 [hyper,718,1,8,eval] board([7,4,1,5,8,6,3]). given clause #675: (wt=12) 716 [hyper,694,1,3,eval] board([2,5,8,6,3]). given clause #676: (wt=14) 720 [hyper,716,1,5,eval] board([4,2,5,8,6,3]). given clause #677: (wt=16) 721 [hyper,720,1,8,eval] board([7,4,2,5,8,6,3]). given clause #678: (wt=6) 525 [hyper,19,1,8,eval] board([7,3]). given clause #679: (wt=8) 723 [hyper,525,1,3,eval] board([2,7,3]). given clause #680: (wt=10) 725 [hyper,723,1,5,eval] board([4,2,7,3]). given clause #681: (wt=12) 728 [hyper,725,1,2,eval] board([1,4,2,7,3]). given clause #682: (wt=12) 727 [hyper,725,1,7,eval] board([6,4,2,7,3]). given clause #683: (wt=14) 729 [hyper,727,1,2,eval] board([1,6,4,2,7,3]). given clause #684: (wt=16) 730 [hyper,729,1,6,eval] board([5,1,6,4,2,7,3]). given clause #685: (wt=12) 726 [hyper,725,1,9,eval] board([8,4,2,7,3]). given clause #686: (wt=14) 731 [hyper,726,1,2,eval] board([1,8,4,2,7,3]). given clause #687: (wt=16) 732 [hyper,731,1,6,eval] board([5,1,8,4,2,7,3]). given clause #688: (wt=10) 724 [hyper,723,1,9,eval] board([8,2,7,3]). given clause #689: (wt=12) 735 [hyper,724,1,2,eval] board([1,8,2,7,3]). given clause #690: (wt=14) 736 [hyper,735,1,5,eval] board([4,1,8,2,7,3]). given clause #691: (wt=12) 734 [hyper,724,1,6,eval] board([5,8,2,7,3]). given clause #692: (wt=14) 737 [hyper,734,1,2,eval] board([1,5,8,2,7,3]). given clause #693: (wt=16) 738 [hyper,737,1,5,eval] board([4,1,5,8,2,7,3]). -------- PROOF -------- 740 [binary,739.1,11.1] $Ans([6,4,1,5,8,2,7,3]). ----> UNIT CONFLICT at 0.26 sec ----> 740 [binary,739.1,11.1] $Ans([6,4,1,5,8,2,7,3]). Length of proof is 8. Level of proof is 8. ---------------- PROOF ---------------- 1 [] -board(B)| -pick(New_col)| -$TRUE(ok(B,1,New_col))|board([New_col|B]). 2 [] pick(1). 3 [] pick(2). 4 [] pick(3). 5 [] pick(4). 6 [] pick(5). 7 [] pick(6). 8 [] pick(7). 9 [] pick(8). 10 [] board([]). 11 [] -board([X1,X2,X3,X4,X5,X6,X7,X8])|$Ans([X1,X2,X3,X4,X5,X6,X7,X8]). 19 [hyper,10,1,4,eval] board([3]). 525 [hyper,19,1,8,eval] board([7,3]). 723 [hyper,525,1,3,eval] board([2,7,3]). 724 [hyper,723,1,9,eval] board([8,2,7,3]). 734 [hyper,724,1,6,eval] board([5,8,2,7,3]). 737 [hyper,734,1,2,eval] board([1,5,8,2,7,3]). 738 [hyper,737,1,5,eval] board([4,1,5,8,2,7,3]). 739 [hyper,738,1,7,eval] board([6,4,1,5,8,2,7,3]). 740 [binary,739.1,11.1] $Ans([6,4,1,5,8,2,7,3]). ------------ end of proof ------------- given clause #694: (wt=18) 739 [hyper,738,1,7,eval] board([6,4,1,5,8,2,7,3]). given clause #695: (wt=12) 733 [hyper,724,1,7,eval] board([6,8,2,7,3]). given clause #696: (wt=14) 742 [hyper,733,1,2,eval] board([1,6,8,2,7,3]). given clause #697: (wt=14) 741 [hyper,733,1,5,eval] board([4,6,8,2,7,3]). given clause #698: (wt=16) 743 [hyper,741,1,2,eval] board([1,4,6,8,2,7,3]). -------- PROOF -------- 745 [binary,744.1,11.1] $Ans([5,1,4,6,8,2,7,3]). ----> UNIT CONFLICT at 0.26 sec ----> 745 [binary,744.1,11.1] $Ans([5,1,4,6,8,2,7,3]). Length of proof is 8. Level of proof is 8. ---------------- PROOF ---------------- 1 [] -board(B)| -pick(New_col)| -$TRUE(ok(B,1,New_col))|board([New_col|B]). 2 [] pick(1). 3 [] pick(2). 4 [] pick(3). 5 [] pick(4). 6 [] pick(5). 7 [] pick(6). 8 [] pick(7). 9 [] pick(8). 10 [] board([]). 11 [] -board([X1,X2,X3,X4,X5,X6,X7,X8])|$Ans([X1,X2,X3,X4,X5,X6,X7,X8]). 19 [hyper,10,1,4,eval] board([3]). 525 [hyper,19,1,8,eval] board([7,3]). 723 [hyper,525,1,3,eval] board([2,7,3]). 724 [hyper,723,1,9,eval] board([8,2,7,3]). 733 [hyper,724,1,7,eval] board([6,8,2,7,3]). 741 [hyper,733,1,5,eval] board([4,6,8,2,7,3]). 743 [hyper,741,1,2,eval] board([1,4,6,8,2,7,3]). 744 [hyper,743,1,6,eval] board([5,1,4,6,8,2,7,3]). 745 [binary,744.1,11.1] $Ans([5,1,4,6,8,2,7,3]). ------------ end of proof ------------- given clause #699: (wt=18) 744 [hyper,743,1,6,eval] board([5,1,4,6,8,2,7,3]). given clause #700: (wt=8) 722 [hyper,525,1,5,eval] board([4,7,3]). given clause #701: (wt=10) 748 [hyper,722,1,2,eval] board([1,4,7,3]). given clause #702: (wt=12) 750 [hyper,748,1,6,eval] board([5,1,4,7,3]). given clause #703: (wt=14) 751 [hyper,750,1,3,eval] board([2,5,1,4,7,3]). given clause #704: (wt=16) 752 [hyper,751,1,7,eval] board([6,2,5,1,4,7,3]). given clause #705: (wt=12) 749 [hyper,748,1,9,eval] board([8,1,4,7,3]). given clause #706: (wt=14) 755 [hyper,749,1,3,eval] board([2,8,1,4,7,3]). given clause #707: (wt=16) 756 [hyper,755,1,6,eval] board([5,2,8,1,4,7,3]). given clause #708: (wt=14) 754 [hyper,749,1,6,eval] board([5,8,1,4,7,3]). given clause #709: (wt=14) 753 [hyper,749,1,7,eval] board([6,8,1,4,7,3]). given clause #710: (wt=10) 747 [hyper,722,1,3,eval] board([2,4,7,3]). given clause #711: (wt=12) 758 [hyper,747,1,6,eval] board([5,2,4,7,3]). given clause #712: (wt=12) 757 [hyper,747,1,9,eval] board([8,2,4,7,3]). given clause #713: (wt=14) 760 [hyper,757,1,6,eval] board([5,8,2,4,7,3]). given clause #714: (wt=16) 761 [hyper,760,1,2,eval] board([1,5,8,2,4,7,3]). given clause #715: (wt=14) 759 [hyper,757,1,7,eval] board([6,8,2,4,7,3]). given clause #716: (wt=16) 762 [hyper,759,1,2,eval] board([1,6,8,2,4,7,3]). given clause #717: (wt=10) 746 [hyper,722,1,9,eval] board([8,4,7,3]). given clause #718: (wt=12) 764 [hyper,746,1,2,eval] board([1,8,4,7,3]). given clause #719: (wt=14) 765 [hyper,764,1,6,eval] board([5,1,8,4,7,3]). given clause #720: (wt=12) 763 [hyper,746,1,6,eval] board([5,8,4,7,3]). given clause #721: (wt=14) 766 [hyper,763,1,3,eval] board([2,5,8,4,7,3]). given clause #722: (wt=16) 767 [hyper,766,1,7,eval] board([6,2,5,8,4,7,3]). given clause #723: (wt=6) 524 [hyper,19,1,9,eval] board([8,3]). given clause #724: (wt=8) 770 [hyper,524,1,3,eval] board([2,8,3]). given clause #725: (wt=10) 773 [hyper,770,1,5,eval] board([4,2,8,3]). given clause #726: (wt=12) 775 [hyper,773,1,2,eval] board([1,4,2,8,3]). given clause #727: (wt=14) 776 [hyper,775,1,8,eval] board([7,1,4,2,8,3]). given clause #728: (wt=16) 777 [hyper,776,1,6,eval] board([5,7,1,4,2,8,3]). given clause #729: (wt=12) 774 [hyper,773,1,7,eval] board([6,4,2,8,3]). given clause #730: (wt=14) 778 [hyper,774,1,2,eval] board([1,6,4,2,8,3]). given clause #731: (wt=16) 779 [hyper,778,1,6,eval] board([5,1,6,4,2,8,3]). given clause #732: (wt=10) 772 [hyper,770,1,6,eval] board([5,2,8,3]). given clause #733: (wt=12) 780 [hyper,772,1,2,eval] board([1,5,2,8,3]). given clause #734: (wt=14) 781 [hyper,780,1,7,eval] board([6,1,5,2,8,3]). given clause #735: (wt=16) 782 [hyper,781,1,5,eval] board([4,6,1,5,2,8,3]). given clause #736: (wt=10) 771 [hyper,770,1,8,eval] board([7,2,8,3]). given clause #737: (wt=12) 783 [hyper,771,1,2,eval] board([1,7,2,8,3]). given clause #738: (wt=14) 784 [hyper,783,1,7,eval] board([6,1,7,2,8,3]). given clause #739: (wt=8) 769 [hyper,524,1,5,eval] board([4,8,3]). given clause #740: (wt=10) 787 [hyper,769,1,2,eval] board([1,4,8,3]). given clause #741: (wt=10) 786 [hyper,769,1,3,eval] board([2,4,8,3]). given clause #742: (wt=10) 785 [hyper,769,1,8,eval] board([7,4,8,3]). given clause #743: (wt=12) 788 [hyper,785,1,2,eval] board([1,7,4,8,3]). given clause #744: (wt=14) 789 [hyper,788,1,7,eval] board([6,1,7,4,8,3]). given clause #745: (wt=16) 790 [hyper,789,1,3,eval] board([2,6,1,7,4,8,3]). -------- PROOF -------- 792 [binary,791.1,11.1] $Ans([5,2,6,1,7,4,8,3]). ----> UNIT CONFLICT at 0.28 sec ----> 792 [binary,791.1,11.1] $Ans([5,2,6,1,7,4,8,3]). Length of proof is 8. Level of proof is 8. ---------------- PROOF ---------------- 1 [] -board(B)| -pick(New_col)| -$TRUE(ok(B,1,New_col))|board([New_col|B]). 2 [] pick(1). 3 [] pick(2). 4 [] pick(3). 5 [] pick(4). 6 [] pick(5). 7 [] pick(6). 8 [] pick(7). 9 [] pick(8). 10 [] board([]). 11 [] -board([X1,X2,X3,X4,X5,X6,X7,X8])|$Ans([X1,X2,X3,X4,X5,X6,X7,X8]). 19 [hyper,10,1,4,eval] board([3]). 524 [hyper,19,1,9,eval] board([8,3]). 769 [hyper,524,1,5,eval] board([4,8,3]). 785 [hyper,769,1,8,eval] board([7,4,8,3]). 788 [hyper,785,1,2,eval] board([1,7,4,8,3]). 789 [hyper,788,1,7,eval] board([6,1,7,4,8,3]). 790 [hyper,789,1,3,eval] board([2,6,1,7,4,8,3]). 791 [hyper,790,1,6,eval] board([5,2,6,1,7,4,8,3]). 792 [binary,791.1,11.1] $Ans([5,2,6,1,7,4,8,3]). ------------ end of proof ------------- given clause #746: (wt=18) 791 [hyper,790,1,6,eval] board([5,2,6,1,7,4,8,3]). given clause #747: (wt=8) 768 [hyper,524,1,7,eval] board([6,8,3]). given clause #748: (wt=10) 795 [hyper,768,1,2,eval] board([1,6,8,3]). given clause #749: (wt=10) 794 [hyper,768,1,3,eval] board([2,6,8,3]). given clause #750: (wt=10) 793 [hyper,768,1,5,eval] board([4,6,8,3]). given clause #751: (wt=12) 797 [hyper,793,1,2,eval] board([1,4,6,8,3]). given clause #752: (wt=14) 799 [hyper,797,1,6,eval] board([5,1,4,6,8,3]). given clause #753: (wt=14) 798 [hyper,797,1,8,eval] board([7,1,4,6,8,3]). given clause #754: (wt=16) 800 [hyper,798,1,6,eval] board([5,7,1,4,6,8,3]). given clause #755: (wt=12) 796 [hyper,793,1,3,eval] board([2,4,6,8,3]). given clause #756: (wt=14) 802 [hyper,796,1,6,eval] board([5,2,4,6,8,3]). given clause #757: (wt=14) 801 [hyper,796,1,8,eval] board([7,2,4,6,8,3]). given clause #758: (wt=16) 803 [hyper,801,1,6,eval] board([5,7,2,4,6,8,3]). given clause #759: (wt=4) 18 [hyper,10,1,5,eval] board([4]). given clause #760: (wt=6) 808 [hyper,18,1,2,eval] board([1,4]). given clause #761: (wt=8) 812 [hyper,808,1,4,eval] board([3,1,4]). given clause #762: (wt=10) 815 [hyper,812,1,6,eval] board([5,3,1,4]). given clause #763: (wt=12) 817 [hyper,815,1,3,eval] board([2,5,3,1,4]). given clause #764: (wt=14) 818 [hyper,817,1,9,eval] board([8,2,5,3,1,4]). given clause #765: (wt=12) 816 [hyper,815,1,8,eval] board([7,5,3,1,4]). given clause #766: (wt=14) 819 [hyper,816,1,3,eval] board([2,7,5,3,1,4]). given clause #767: (wt=10) 814 [hyper,812,1,7,eval] board([6,3,1,4]). given clause #768: (wt=12) 820 [hyper,814,1,3,eval] board([2,6,3,1,4]). given clause #769: (wt=14) 821 [hyper,820,1,8,eval] board([7,2,6,3,1,4]). given clause #770: (wt=16) 822 [hyper,821,1,6,eval] board([5,7,2,6,3,1,4]). given clause #771: (wt=10) 813 [hyper,812,1,9,eval] board([8,3,1,4]). given clause #772: (wt=12) 824 [hyper,813,1,3,eval] board([2,8,3,1,4]). given clause #773: (wt=14) 825 [hyper,824,1,8,eval] board([7,2,8,3,1,4]). given clause #774: (wt=12) 823 [hyper,813,1,7,eval] board([6,8,3,1,4]). given clause #775: (wt=14) 826 [hyper,823,1,3,eval] board([2,6,8,3,1,4]). given clause #776: (wt=8) 811 [hyper,808,1,6,eval] board([5,1,4]). given clause #777: (wt=10) 828 [hyper,811,1,3,eval] board([2,5,1,4]). given clause #778: (wt=12) 829 [hyper,828,1,7,eval] board([6,2,5,1,4]). given clause #779: (wt=14) 830 [hyper,829,1,4,eval] board([3,6,2,5,1,4]). given clause #780: (wt=16) 831 [hyper,830,1,8,eval] board([7,3,6,2,5,1,4]). given clause #781: (wt=10) 827 [hyper,811,1,9,eval] board([8,5,1,4]). given clause #782: (wt=12) 833 [hyper,827,1,3,eval] board([2,8,5,1,4]). given clause #783: (wt=14) 834 [hyper,833,1,8,eval] board([7,2,8,5,1,4]). given clause #784: (wt=16) 835 [hyper,834,1,4,eval] board([3,7,2,8,5,1,4]). -------- PROOF -------- 837 [binary,836.1,11.1] $Ans([6,3,7,2,8,5,1,4]). ----> UNIT CONFLICT at 0.29 sec ----> 837 [binary,836.1,11.1] $Ans([6,3,7,2,8,5,1,4]). Length of proof is 8. Level of proof is 8. ---------------- PROOF ---------------- 1 [] -board(B)| -pick(New_col)| -$TRUE(ok(B,1,New_col))|board([New_col|B]). 2 [] pick(1). 3 [] pick(2). 4 [] pick(3). 5 [] pick(4). 6 [] pick(5). 7 [] pick(6). 8 [] pick(7). 9 [] pick(8). 10 [] board([]). 11 [] -board([X1,X2,X3,X4,X5,X6,X7,X8])|$Ans([X1,X2,X3,X4,X5,X6,X7,X8]). 18 [hyper,10,1,5,eval] board([4]). 808 [hyper,18,1,2,eval] board([1,4]). 811 [hyper,808,1,6,eval] board([5,1,4]). 827 [hyper,811,1,9,eval] board([8,5,1,4]). 833 [hyper,827,1,3,eval] board([2,8,5,1,4]). 834 [hyper,833,1,8,eval] board([7,2,8,5,1,4]). 835 [hyper,834,1,4,eval] board([3,7,2,8,5,1,4]). 836 [hyper,835,1,7,eval] board([6,3,7,2,8,5,1,4]). 837 [binary,836.1,11.1] $Ans([6,3,7,2,8,5,1,4]). ------------ end of proof ------------- given clause #785: (wt=18) 836 [hyper,835,1,7,eval] board([6,3,7,2,8,5,1,4]). given clause #786: (wt=12) 832 [hyper,827,1,7,eval] board([6,8,5,1,4]). given clause #787: (wt=14) 838 [hyper,832,1,4,eval] board([3,6,8,5,1,4]). given clause #788: (wt=16) 839 [hyper,838,1,8,eval] board([7,3,6,8,5,1,4]). -------- PROOF -------- 841 [binary,840.1,11.1] $Ans([2,7,3,6,8,5,1,4]). ----> UNIT CONFLICT at 0.29 sec ----> 841 [binary,840.1,11.1] $Ans([2,7,3,6,8,5,1,4]). Length of proof is 8. Level of proof is 8. ---------------- PROOF ---------------- 1 [] -board(B)| -pick(New_col)| -$TRUE(ok(B,1,New_col))|board([New_col|B]). 2 [] pick(1). 3 [] pick(2). 4 [] pick(3). 5 [] pick(4). 6 [] pick(5). 7 [] pick(6). 8 [] pick(7). 9 [] pick(8). 10 [] board([]). 11 [] -board([X1,X2,X3,X4,X5,X6,X7,X8])|$Ans([X1,X2,X3,X4,X5,X6,X7,X8]). 18 [hyper,10,1,5,eval] board([4]). 808 [hyper,18,1,2,eval] board([1,4]). 811 [hyper,808,1,6,eval] board([5,1,4]). 827 [hyper,811,1,9,eval] board([8,5,1,4]). 832 [hyper,827,1,7,eval] board([6,8,5,1,4]). 838 [hyper,832,1,4,eval] board([3,6,8,5,1,4]). 839 [hyper,838,1,8,eval] board([7,3,6,8,5,1,4]). 840 [hyper,839,1,3,eval] board([2,7,3,6,8,5,1,4]). 841 [binary,840.1,11.1] $Ans([2,7,3,6,8,5,1,4]). ------------ end of proof ------------- given clause #789: (wt=18) 840 [hyper,839,1,3,eval] board([2,7,3,6,8,5,1,4]). given clause #790: (wt=8) 810 [hyper,808,1,8,eval] board([7,1,4]). given clause #791: (wt=10) 843 [hyper,810,1,3,eval] board([2,7,1,4]). given clause #792: (wt=12) 844 [hyper,843,1,7,eval] board([6,2,7,1,4]). given clause #793: (wt=14) 846 [hyper,844,1,4,eval] board([3,6,2,7,1,4]). given clause #794: (wt=14) 845 [hyper,844,1,9,eval] board([8,6,2,7,1,4]). given clause #795: (wt=10) 842 [hyper,810,1,6,eval] board([5,7,1,4]). given clause #796: (wt=12) 848 [hyper,842,1,3,eval] board([2,5,7,1,4]). given clause #797: (wt=14) 850 [hyper,848,1,7,eval] board([6,2,5,7,1,4]). given clause #798: (wt=14) 849 [hyper,848,1,9,eval] board([8,2,5,7,1,4]). given clause #799: (wt=12) 847 [hyper,842,1,4,eval] board([3,5,7,1,4]). given clause #800: (wt=14) 852 [hyper,847,1,7,eval] board([6,3,5,7,1,4]). given clause #801: (wt=14) 851 [hyper,847,1,9,eval] board([8,3,5,7,1,4]). given clause #802: (wt=8) 809 [hyper,808,1,9,eval] board([8,1,4]). given clause #803: (wt=10) 855 [hyper,809,1,3,eval] board([2,8,1,4]). given clause #804: (wt=12) 857 [hyper,855,1,6,eval] board([5,2,8,1,4]). given clause #805: (wt=14) 859 [hyper,857,1,4,eval] board([3,5,2,8,1,4]). given clause #806: (wt=14) 858 [hyper,857,1,8,eval] board([7,5,2,8,1,4]). given clause #807: (wt=12) 856 [hyper,855,1,8,eval] board([7,2,8,1,4]). given clause #808: (wt=14) 860 [hyper,856,1,4,eval] board([3,7,2,8,1,4]). given clause #809: (wt=10) 854 [hyper,809,1,6,eval] board([5,8,1,4]). given clause #810: (wt=12) 863 [hyper,854,1,3,eval] board([2,5,8,1,4]). given clause #811: (wt=14) 864 [hyper,863,1,7,eval] board([6,2,5,8,1,4]). given clause #812: (wt=16) 865 [hyper,864,1,4,eval] board([3,6,2,5,8,1,4]). given clause #813: (wt=12) 862 [hyper,854,1,4,eval] board([3,5,8,1,4]). given clause #814: (wt=14) 866 [hyper,862,1,7,eval] board([6,3,5,8,1,4]). given clause #815: (wt=12) 861 [hyper,854,1,8,eval] board([7,5,8,1,4]). given clause #816: (wt=14) 867 [hyper,861,1,3,eval] board([2,7,5,8,1,4]). given clause #817: (wt=10) 853 [hyper,809,1,7,eval] board([6,8,1,4]). given clause #818: (wt=12) 869 [hyper,853,1,3,eval] board([2,6,8,1,4]). given clause #819: (wt=14) 870 [hyper,869,1,8,eval] board([7,2,6,8,1,4]). given clause #820: (wt=16) 871 [hyper,870,1,6,eval] board([5,7,2,6,8,1,4]). given clause #821: (wt=12) 868 [hyper,853,1,4,eval] board([3,6,8,1,4]). given clause #822: (wt=14) 872 [hyper,868,1,8,eval] board([7,3,6,8,1,4]). given clause #823: (wt=16) 873 [hyper,872,1,3,eval] board([2,7,3,6,8,1,4]). given clause #824: (wt=6) 807 [hyper,18,1,3,eval] board([2,4]). given clause #825: (wt=8) 876 [hyper,807,1,6,eval] board([5,2,4]). given clause #826: (wt=10) 878 [hyper,876,1,4,eval] board([3,5,2,4]). given clause #827: (wt=12) 880 [hyper,878,1,2,eval] board([1,3,5,2,4]). given clause #828: (wt=14) 881 [hyper,880,1,8,eval] board([7,1,3,5,2,4]). given clause #829: (wt=12) 879 [hyper,878,1,7,eval] board([6,3,5,2,4]). given clause #830: (wt=10) 877 [hyper,876,1,9,eval] board([8,5,2,4]). given clause #831: (wt=12) 883 [hyper,877,1,2,eval] board([1,8,5,2,4]). given clause #832: (wt=14) 885 [hyper,883,1,4,eval] board([3,1,8,5,2,4]). given clause #833: (wt=16) 886 [hyper,885,1,7,eval] board([6,3,1,8,5,2,4]). given clause #834: (wt=14) 884 [hyper,883,1,8,eval] board([7,1,8,5,2,4]). given clause #835: (wt=12) 882 [hyper,877,1,7,eval] board([6,8,5,2,4]). given clause #836: (wt=14) 888 [hyper,882,1,2,eval] board([1,6,8,5,2,4]). given clause #837: (wt=16) 889 [hyper,888,1,4,eval] board([3,1,6,8,5,2,4]). -------- PROOF -------- 891 [binary,890.1,11.1] $Ans([7,3,1,6,8,5,2,4]). ----> UNIT CONFLICT at 0.31 sec ----> 891 [binary,890.1,11.1] $Ans([7,3,1,6,8,5,2,4]). Length of proof is 8. Level of proof is 8. ---------------- PROOF ---------------- 1 [] -board(B)| -pick(New_col)| -$TRUE(ok(B,1,New_col))|board([New_col|B]). 2 [] pick(1). 3 [] pick(2). 4 [] pick(3). 5 [] pick(4). 6 [] pick(5). 7 [] pick(6). 8 [] pick(7). 9 [] pick(8). 10 [] board([]). 11 [] -board([X1,X2,X3,X4,X5,X6,X7,X8])|$Ans([X1,X2,X3,X4,X5,X6,X7,X8]). 18 [hyper,10,1,5,eval] board([4]). 807 [hyper,18,1,3,eval] board([2,4]). 876 [hyper,807,1,6,eval] board([5,2,4]). 877 [hyper,876,1,9,eval] board([8,5,2,4]). 882 [hyper,877,1,7,eval] board([6,8,5,2,4]). 888 [hyper,882,1,2,eval] board([1,6,8,5,2,4]). 889 [hyper,888,1,4,eval] board([3,1,6,8,5,2,4]). 890 [hyper,889,1,8,eval] board([7,3,1,6,8,5,2,4]). 891 [binary,890.1,11.1] $Ans([7,3,1,6,8,5,2,4]). ------------ end of proof ------------- given clause #838: (wt=18) 890 [hyper,889,1,8,eval] board([7,3,1,6,8,5,2,4]). given clause #839: (wt=14) 887 [hyper,882,1,4,eval] board([3,6,8,5,2,4]). given clause #840: (wt=8) 875 [hyper,807,1,8,eval] board([7,2,4]). given clause #841: (wt=10) 893 [hyper,875,1,4,eval] board([3,7,2,4]). given clause #842: (wt=12) 895 [hyper,893,1,2,eval] board([1,3,7,2,4]). given clause #843: (wt=14) 896 [hyper,895,1,9,eval] board([8,1,3,7,2,4]). given clause #844: (wt=16) 897 [hyper,896,1,6,eval] board([5,8,1,3,7,2,4]). given clause #845: (wt=12) 894 [hyper,893,1,7,eval] board([6,3,7,2,4]). given clause #846: (wt=14) 898 [hyper,894,1,9,eval] board([8,6,3,7,2,4]). given clause #847: (wt=16) 900 [hyper,898,1,2,eval] board([1,8,6,3,7,2,4]). -------- PROOF -------- 902 [binary,901.1,11.1] $Ans([5,1,8,6,3,7,2,4]). ----> UNIT CONFLICT at 0.32 sec ----> 902 [binary,901.1,11.1] $Ans([5,1,8,6,3,7,2,4]). Length of proof is 8. Level of proof is 8. ---------------- PROOF ---------------- 1 [] -board(B)| -pick(New_col)| -$TRUE(ok(B,1,New_col))|board([New_col|B]). 2 [] pick(1). 3 [] pick(2). 4 [] pick(3). 5 [] pick(4). 6 [] pick(5). 7 [] pick(6). 8 [] pick(7). 9 [] pick(8). 10 [] board([]). 11 [] -board([X1,X2,X3,X4,X5,X6,X7,X8])|$Ans([X1,X2,X3,X4,X5,X6,X7,X8]). 18 [hyper,10,1,5,eval] board([4]). 807 [hyper,18,1,3,eval] board([2,4]). 875 [hyper,807,1,8,eval] board([7,2,4]). 893 [hyper,875,1,4,eval] board([3,7,2,4]). 894 [hyper,893,1,7,eval] board([6,3,7,2,4]). 898 [hyper,894,1,9,eval] board([8,6,3,7,2,4]). 900 [hyper,898,1,2,eval] board([1,8,6,3,7,2,4]). 901 [hyper,900,1,6,eval] board([5,1,8,6,3,7,2,4]). 902 [binary,901.1,11.1] $Ans([5,1,8,6,3,7,2,4]). ------------ end of proof ------------- given clause #848: (wt=18) 901 [hyper,900,1,6,eval] board([5,1,8,6,3,7,2,4]). given clause #849: (wt=16) 899 [hyper,898,1,6,eval] board([5,8,6,3,7,2,4]). -------- PROOF -------- 904 [binary,903.1,11.1] $Ans([1,5,8,6,3,7,2,4]). ----> UNIT CONFLICT at 0.32 sec ----> 904 [binary,903.1,11.1] $Ans([1,5,8,6,3,7,2,4]). Length of proof is 8. Level of proof is 8. ---------------- PROOF ---------------- 1 [] -board(B)| -pick(New_col)| -$TRUE(ok(B,1,New_col))|board([New_col|B]). 2 [] pick(1). 3 [] pick(2). 4 [] pick(3). 5 [] pick(4). 6 [] pick(5). 7 [] pick(6). 8 [] pick(7). 9 [] pick(8). 10 [] board([]). 11 [] -board([X1,X2,X3,X4,X5,X6,X7,X8])|$Ans([X1,X2,X3,X4,X5,X6,X7,X8]). 18 [hyper,10,1,5,eval] board([4]). 807 [hyper,18,1,3,eval] board([2,4]). 875 [hyper,807,1,8,eval] board([7,2,4]). 893 [hyper,875,1,4,eval] board([3,7,2,4]). 894 [hyper,893,1,7,eval] board([6,3,7,2,4]). 898 [hyper,894,1,9,eval] board([8,6,3,7,2,4]). 899 [hyper,898,1,6,eval] board([5,8,6,3,7,2,4]). 903 [hyper,899,1,2,eval] board([1,5,8,6,3,7,2,4]). 904 [binary,903.1,11.1] $Ans([1,5,8,6,3,7,2,4]). ------------ end of proof ------------- given clause #850: (wt=18) 903 [hyper,899,1,2,eval] board([1,5,8,6,3,7,2,4]). given clause #851: (wt=10) 892 [hyper,875,1,6,eval] board([5,7,2,4]). given clause #852: (wt=12) 906 [hyper,892,1,2,eval] board([1,5,7,2,4]). given clause #853: (wt=14) 907 [hyper,906,1,9,eval] board([8,1,5,7,2,4]). given clause #854: (wt=16) 908 [hyper,907,1,7,eval] board([6,8,1,5,7,2,4]). -------- PROOF -------- 910 [binary,909.1,11.1] $Ans([3,6,8,1,5,7,2,4]). ----> UNIT CONFLICT at 0.32 sec ----> 910 [binary,909.1,11.1] $Ans([3,6,8,1,5,7,2,4]). Length of proof is 8. Level of proof is 8. ---------------- PROOF ---------------- 1 [] -board(B)| -pick(New_col)| -$TRUE(ok(B,1,New_col))|board([New_col|B]). 2 [] pick(1). 3 [] pick(2). 4 [] pick(3). 5 [] pick(4). 6 [] pick(5). 7 [] pick(6). 8 [] pick(7). 9 [] pick(8). 10 [] board([]). 11 [] -board([X1,X2,X3,X4,X5,X6,X7,X8])|$Ans([X1,X2,X3,X4,X5,X6,X7,X8]). 18 [hyper,10,1,5,eval] board([4]). 807 [hyper,18,1,3,eval] board([2,4]). 875 [hyper,807,1,8,eval] board([7,2,4]). 892 [hyper,875,1,6,eval] board([5,7,2,4]). 906 [hyper,892,1,2,eval] board([1,5,7,2,4]). 907 [hyper,906,1,9,eval] board([8,1,5,7,2,4]). 908 [hyper,907,1,7,eval] board([6,8,1,5,7,2,4]). 909 [hyper,908,1,4,eval] board([3,6,8,1,5,7,2,4]). 910 [binary,909.1,11.1] $Ans([3,6,8,1,5,7,2,4]). ------------ end of proof ------------- given clause #855: (wt=18) 909 [hyper,908,1,4,eval] board([3,6,8,1,5,7,2,4]). given clause #856: (wt=12) 905 [hyper,892,1,4,eval] board([3,5,7,2,4]). given clause #857: (wt=14) 912 [hyper,905,1,2,eval] board([1,3,5,7,2,4]). given clause #858: (wt=16) 913 [hyper,912,1,7,eval] board([6,1,3,5,7,2,4]). given clause #859: (wt=14) 911 [hyper,905,1,9,eval] board([8,3,5,7,2,4]). given clause #860: (wt=16) 914 [hyper,911,1,7,eval] board([6,8,3,5,7,2,4]). given clause #861: (wt=8) 874 [hyper,807,1,9,eval] board([8,2,4]). given clause #862: (wt=10) 917 [hyper,874,1,4,eval] board([3,8,2,4]). given clause #863: (wt=12) 919 [hyper,917,1,2,eval] board([1,3,8,2,4]). given clause #864: (wt=14) 920 [hyper,919,1,8,eval] board([7,1,3,8,2,4]). given clause #865: (wt=16) 921 [hyper,920,1,6,eval] board([5,7,1,3,8,2,4]). given clause #866: (wt=12) 918 [hyper,917,1,8,eval] board([7,3,8,2,4]). given clause #867: (wt=10) 916 [hyper,874,1,6,eval] board([5,8,2,4]). given clause #868: (wt=12) 924 [hyper,916,1,2,eval] board([1,5,8,2,4]). given clause #869: (wt=12) 923 [hyper,916,1,4,eval] board([3,5,8,2,4]). given clause #870: (wt=14) 925 [hyper,923,1,2,eval] board([1,3,5,8,2,4]). given clause #871: (wt=16) 926 [hyper,925,1,7,eval] board([6,1,3,5,8,2,4]). given clause #872: (wt=12) 922 [hyper,916,1,8,eval] board([7,5,8,2,4]). given clause #873: (wt=14) 927 [hyper,922,1,2,eval] board([1,7,5,8,2,4]). given clause #874: (wt=16) 929 [hyper,927,1,4,eval] board([3,1,7,5,8,2,4]). -------- PROOF -------- 931 [binary,930.1,11.1] $Ans([6,3,1,7,5,8,2,4]). ----> UNIT CONFLICT at 0.33 sec ----> 931 [binary,930.1,11.1] $Ans([6,3,1,7,5,8,2,4]). Length of proof is 8. Level of proof is 8. ---------------- PROOF ---------------- 1 [] -board(B)| -pick(New_col)| -$TRUE(ok(B,1,New_col))|board([New_col|B]). 2 [] pick(1). 3 [] pick(2). 4 [] pick(3). 5 [] pick(4). 6 [] pick(5). 7 [] pick(6). 8 [] pick(7). 9 [] pick(8). 10 [] board([]). 11 [] -board([X1,X2,X3,X4,X5,X6,X7,X8])|$Ans([X1,X2,X3,X4,X5,X6,X7,X8]). 18 [hyper,10,1,5,eval] board([4]). 807 [hyper,18,1,3,eval] board([2,4]). 874 [hyper,807,1,9,eval] board([8,2,4]). 916 [hyper,874,1,6,eval] board([5,8,2,4]). 922 [hyper,916,1,8,eval] board([7,5,8,2,4]). 927 [hyper,922,1,2,eval] board([1,7,5,8,2,4]). 929 [hyper,927,1,4,eval] board([3,1,7,5,8,2,4]). 930 [hyper,929,1,7,eval] board([6,3,1,7,5,8,2,4]). 931 [binary,930.1,11.1] $Ans([6,3,1,7,5,8,2,4]). ------------ end of proof ------------- given clause #875: (wt=18) 930 [hyper,929,1,7,eval] board([6,3,1,7,5,8,2,4]). given clause #876: (wt=16) 928 [hyper,927,1,7,eval] board([6,1,7,5,8,2,4]). given clause #877: (wt=10) 915 [hyper,874,1,7,eval] board([6,8,2,4]). given clause #878: (wt=12) 933 [hyper,915,1,2,eval] board([1,6,8,2,4]). given clause #879: (wt=14) 935 [hyper,933,1,4,eval] board([3,1,6,8,2,4]). given clause #880: (wt=16) 936 [hyper,935,1,6,eval] board([5,3,1,6,8,2,4]). -------- PROOF -------- 938 [binary,937.1,11.1] $Ans([7,5,3,1,6,8,2,4]). ----> UNIT CONFLICT at 0.33 sec ----> 938 [binary,937.1,11.1] $Ans([7,5,3,1,6,8,2,4]). Length of proof is 8. Level of proof is 8. ---------------- PROOF ---------------- 1 [] -board(B)| -pick(New_col)| -$TRUE(ok(B,1,New_col))|board([New_col|B]). 2 [] pick(1). 3 [] pick(2). 4 [] pick(3). 5 [] pick(4). 6 [] pick(5). 7 [] pick(6). 8 [] pick(7). 9 [] pick(8). 10 [] board([]). 11 [] -board([X1,X2,X3,X4,X5,X6,X7,X8])|$Ans([X1,X2,X3,X4,X5,X6,X7,X8]). 18 [hyper,10,1,5,eval] board([4]). 807 [hyper,18,1,3,eval] board([2,4]). 874 [hyper,807,1,9,eval] board([8,2,4]). 915 [hyper,874,1,7,eval] board([6,8,2,4]). 933 [hyper,915,1,2,eval] board([1,6,8,2,4]). 935 [hyper,933,1,4,eval] board([3,1,6,8,2,4]). 936 [hyper,935,1,6,eval] board([5,3,1,6,8,2,4]). 937 [hyper,936,1,8,eval] board([7,5,3,1,6,8,2,4]). 938 [binary,937.1,11.1] $Ans([7,5,3,1,6,8,2,4]). ------------ end of proof ------------- given clause #881: (wt=18) 937 [hyper,936,1,8,eval] board([7,5,3,1,6,8,2,4]). given clause #882: (wt=14) 934 [hyper,933,1,8,eval] board([7,1,6,8,2,4]). given clause #883: (wt=16) 939 [hyper,934,1,6,eval] board([5,7,1,6,8,2,4]). given clause #884: (wt=12) 932 [hyper,915,1,4,eval] board([3,6,8,2,4]). given clause #885: (wt=14) 941 [hyper,932,1,2,eval] board([1,3,6,8,2,4]). given clause #886: (wt=14) 940 [hyper,932,1,8,eval] board([7,3,6,8,2,4]). given clause #887: (wt=6) 806 [hyper,18,1,7,eval] board([6,4]). given clause #888: (wt=8) 944 [hyper,806,1,2,eval] board([1,6,4]). given clause #889: (wt=10) 946 [hyper,944,1,4,eval] board([3,1,6,4]). given clause #890: (wt=12) 948 [hyper,946,1,6,eval] board([5,3,1,6,4]). given clause #891: (wt=14) 950 [hyper,948,1,8,eval] board([7,5,3,1,6,4]). given clause #892: (wt=16) 951 [hyper,950,1,3,eval] board([2,7,5,3,1,6,4]). given clause #893: (wt=14) 949 [hyper,948,1,9,eval] board([8,5,3,1,6,4]). given clause #894: (wt=16) 952 [hyper,949,1,3,eval] board([2,8,5,3,1,6,4]). given clause #895: (wt=12) 947 [hyper,946,1,8,eval] board([7,3,1,6,4]). given clause #896: (wt=10) 945 [hyper,944,1,6,eval] board([5,1,6,4]). given clause #897: (wt=12) 954 [hyper,945,1,3,eval] board([2,5,1,6,4]). given clause #898: (wt=14) 955 [hyper,954,1,9,eval] board([8,2,5,1,6,4]). given clause #899: (wt=16) 956 [hyper,955,1,4,eval] board([3,8,2,5,1,6,4]). -------- PROOF -------- 958 [binary,957.1,11.1] $Ans([7,3,8,2,5,1,6,4]). ----> UNIT CONFLICT at 0.34 sec ----> 958 [binary,957.1,11.1] $Ans([7,3,8,2,5,1,6,4]). Length of proof is 8. Level of proof is 8. ---------------- PROOF ---------------- 1 [] -board(B)| -pick(New_col)| -$TRUE(ok(B,1,New_col))|board([New_col|B]). 2 [] pick(1). 3 [] pick(2). 4 [] pick(3). 5 [] pick(4). 6 [] pick(5). 7 [] pick(6). 8 [] pick(7). 9 [] pick(8). 10 [] board([]). 11 [] -board([X1,X2,X3,X4,X5,X6,X7,X8])|$Ans([X1,X2,X3,X4,X5,X6,X7,X8]). 18 [hyper,10,1,5,eval] board([4]). 806 [hyper,18,1,7,eval] board([6,4]). 944 [hyper,806,1,2,eval] board([1,6,4]). 945 [hyper,944,1,6,eval] board([5,1,6,4]). 954 [hyper,945,1,3,eval] board([2,5,1,6,4]). 955 [hyper,954,1,9,eval] board([8,2,5,1,6,4]). 956 [hyper,955,1,4,eval] board([3,8,2,5,1,6,4]). 957 [hyper,956,1,8,eval] board([7,3,8,2,5,1,6,4]). 958 [binary,957.1,11.1] $Ans([7,3,8,2,5,1,6,4]). ------------ end of proof ------------- given clause #900: (wt=18) 957 [hyper,956,1,8,eval] board([7,3,8,2,5,1,6,4]). given clause #901: (wt=12) 953 [hyper,945,1,8,eval] board([7,5,1,6,4]). given clause #902: (wt=8) 943 [hyper,806,1,4,eval] board([3,6,4]). given clause #903: (wt=10) 959 [hyper,943,1,6,eval] board([5,3,6,4]). given clause #904: (wt=12) 961 [hyper,959,1,3,eval] board([2,5,3,6,4]). given clause #905: (wt=14) 962 [hyper,961,1,9,eval] board([8,2,5,3,6,4]). given clause #906: (wt=12) 960 [hyper,959,1,8,eval] board([7,5,3,6,4]). given clause #907: (wt=14) 963 [hyper,960,1,2,eval] board([1,7,5,3,6,4]). given clause #908: (wt=8) 942 [hyper,806,1,9,eval] board([8,6,4]). given clause #909: (wt=10) 966 [hyper,942,1,3,eval] board([2,8,6,4]). given clause #910: (wt=12) 968 [hyper,966,1,6,eval] board([5,2,8,6,4]). given clause #911: (wt=14) 971 [hyper,968,1,2,eval] board([1,5,2,8,6,4]). given clause #912: (wt=14) 970 [hyper,968,1,4,eval] board([3,5,2,8,6,4]). given clause #913: (wt=14) 969 [hyper,968,1,8,eval] board([7,5,2,8,6,4]). given clause #914: (wt=12) 967 [hyper,966,1,8,eval] board([7,2,8,6,4]). given clause #915: (wt=14) 973 [hyper,967,1,2,eval] board([1,7,2,8,6,4]). given clause #916: (wt=16) 974 [hyper,973,1,4,eval] board([3,1,7,2,8,6,4]). -------- PROOF -------- 976 [binary,975.1,11.1] $Ans([5,3,1,7,2,8,6,4]). ----> UNIT CONFLICT at 0.35 sec ----> 976 [binary,975.1,11.1] $Ans([5,3,1,7,2,8,6,4]). Length of proof is 8. Level of proof is 8. ---------------- PROOF ---------------- 1 [] -board(B)| -pick(New_col)| -$TRUE(ok(B,1,New_col))|board([New_col|B]). 2 [] pick(1). 3 [] pick(2). 4 [] pick(3). 5 [] pick(4). 6 [] pick(5). 7 [] pick(6). 8 [] pick(7). 9 [] pick(8). 10 [] board([]). 11 [] -board([X1,X2,X3,X4,X5,X6,X7,X8])|$Ans([X1,X2,X3,X4,X5,X6,X7,X8]). 18 [hyper,10,1,5,eval] board([4]). 806 [hyper,18,1,7,eval] board([6,4]). 942 [hyper,806,1,9,eval] board([8,6,4]). 966 [hyper,942,1,3,eval] board([2,8,6,4]). 967 [hyper,966,1,8,eval] board([7,2,8,6,4]). 973 [hyper,967,1,2,eval] board([1,7,2,8,6,4]). 974 [hyper,973,1,4,eval] board([3,1,7,2,8,6,4]). 975 [hyper,974,1,6,eval] board([5,3,1,7,2,8,6,4]). 976 [binary,975.1,11.1] $Ans([5,3,1,7,2,8,6,4]). ------------ end of proof ------------- given clause #917: (wt=18) 975 [hyper,974,1,6,eval] board([5,3,1,7,2,8,6,4]). given clause #918: (wt=14) 972 [hyper,967,1,4,eval] board([3,7,2,8,6,4]). given clause #919: (wt=10) 965 [hyper,942,1,4,eval] board([3,8,6,4]). given clause #920: (wt=12) 979 [hyper,965,1,2,eval] board([1,3,8,6,4]). given clause #921: (wt=14) 980 [hyper,979,1,8,eval] board([7,1,3,8,6,4]). given clause #922: (wt=16) 982 [hyper,980,1,3,eval] board([2,7,1,3,8,6,4]). given clause #923: (wt=16) 981 [hyper,980,1,6,eval] board([5,7,1,3,8,6,4]). -------- PROOF -------- 984 [binary,983.1,11.1] $Ans([2,5,7,1,3,8,6,4]). ----> UNIT CONFLICT at 0.35 sec ----> 984 [binary,983.1,11.1] $Ans([2,5,7,1,3,8,6,4]). Length of proof is 8. Level of proof is 8. ---------------- PROOF ---------------- 1 [] -board(B)| -pick(New_col)| -$TRUE(ok(B,1,New_col))|board([New_col|B]). 2 [] pick(1). 3 [] pick(2). 4 [] pick(3). 5 [] pick(4). 6 [] pick(5). 7 [] pick(6). 8 [] pick(7). 9 [] pick(8). 10 [] board([]). 11 [] -board([X1,X2,X3,X4,X5,X6,X7,X8])|$Ans([X1,X2,X3,X4,X5,X6,X7,X8]). 18 [hyper,10,1,5,eval] board([4]). 806 [hyper,18,1,7,eval] board([6,4]). 942 [hyper,806,1,9,eval] board([8,6,4]). 965 [hyper,942,1,4,eval] board([3,8,6,4]). 979 [hyper,965,1,2,eval] board([1,3,8,6,4]). 980 [hyper,979,1,8,eval] board([7,1,3,8,6,4]). 981 [hyper,980,1,6,eval] board([5,7,1,3,8,6,4]). 983 [hyper,981,1,3,eval] board([2,5,7,1,3,8,6,4]). 984 [binary,983.1,11.1] $Ans([2,5,7,1,3,8,6,4]). ------------ end of proof ------------- given clause #924: (wt=18) 983 [hyper,981,1,3,eval] board([2,5,7,1,3,8,6,4]). given clause #925: (wt=12) 978 [hyper,965,1,6,eval] board([5,3,8,6,4]). given clause #926: (wt=14) 985 [hyper,978,1,8,eval] board([7,5,3,8,6,4]). given clause #927: (wt=16) 986 [hyper,985,1,3,eval] board([2,7,5,3,8,6,4]). given clause #928: (wt=12) 977 [hyper,965,1,8,eval] board([7,3,8,6,4]). given clause #929: (wt=10) 964 [hyper,942,1,6,eval] board([5,8,6,4]). given clause #930: (wt=12) 989 [hyper,964,1,2,eval] board([1,5,8,6,4]). given clause #931: (wt=12) 988 [hyper,964,1,3,eval] board([2,5,8,6,4]). given clause #932: (wt=12) 987 [hyper,964,1,8,eval] board([7,5,8,6,4]). given clause #933: (wt=14) 990 [hyper,987,1,2,eval] board([1,7,5,8,6,4]). given clause #934: (wt=16) 991 [hyper,990,1,4,eval] board([3,1,7,5,8,6,4]). given clause #935: (wt=6) 805 [hyper,18,1,8,eval] board([7,4]). given clause #936: (wt=8) 994 [hyper,805,1,2,eval] board([1,7,4]). given clause #937: (wt=10) 997 [hyper,994,1,4,eval] board([3,1,7,4]). given clause #938: (wt=12) 999 [hyper,997,1,6,eval] board([5,3,1,7,4]). given clause #939: (wt=14) 1001 [hyper,999,1,3,eval] board([2,5,3,1,7,4]). given clause #940: (wt=16) 1002 [hyper,1001,1,9,eval] board([8,2,5,3,1,7,4]). given clause #941: (wt=14) 1000 [hyper,999,1,9,eval] board([8,5,3,1,7,4]). given clause #942: (wt=12) 998 [hyper,997,1,7,eval] board([6,3,1,7,4]). given clause #943: (wt=14) 1004 [hyper,998,1,3,eval] board([2,6,3,1,7,4]). given clause #944: (wt=14) 1003 [hyper,998,1,9,eval] board([8,6,3,1,7,4]). given clause #945: (wt=10) 996 [hyper,994,1,7,eval] board([6,1,7,4]). given clause #946: (wt=12) 1005 [hyper,996,1,3,eval] board([2,6,1,7,4]). given clause #947: (wt=14) 1006 [hyper,1005,1,6,eval] board([5,2,6,1,7,4]). given clause #948: (wt=16) 1007 [hyper,1006,1,9,eval] board([8,5,2,6,1,7,4]). given clause #949: (wt=10) 995 [hyper,994,1,9,eval] board([8,1,7,4]). given clause #950: (wt=12) 1010 [hyper,995,1,3,eval] board([2,8,1,7,4]). given clause #951: (wt=14) 1011 [hyper,1010,1,6,eval] board([5,2,8,1,7,4]). given clause #952: (wt=16) 1012 [hyper,1011,1,4,eval] board([3,5,2,8,1,7,4]). given clause #953: (wt=12) 1009 [hyper,995,1,6,eval] board([5,8,1,7,4]). given clause #954: (wt=14) 1013 [hyper,1009,1,3,eval] board([2,5,8,1,7,4]). given clause #955: (wt=16) 1014 [hyper,1013,1,7,eval] board([6,2,5,8,1,7,4]). -------- PROOF -------- 1016 [binary,1015.1,11.1] $Ans([3,6,2,5,8,1,7,4]). ----> UNIT CONFLICT at 0.36 sec ----> 1016 [binary,1015.1,11.1] $Ans([3,6,2,5,8,1,7,4]). Length of proof is 8. Level of proof is 8. ---------------- PROOF ---------------- 1 [] -board(B)| -pick(New_col)| -$TRUE(ok(B,1,New_col))|board([New_col|B]). 2 [] pick(1). 3 [] pick(2). 4 [] pick(3). 5 [] pick(4). 6 [] pick(5). 7 [] pick(6). 8 [] pick(7). 9 [] pick(8). 10 [] board([]). 11 [] -board([X1,X2,X3,X4,X5,X6,X7,X8])|$Ans([X1,X2,X3,X4,X5,X6,X7,X8]). 18 [hyper,10,1,5,eval] board([4]). 805 [hyper,18,1,8,eval] board([7,4]). 994 [hyper,805,1,2,eval] board([1,7,4]). 995 [hyper,994,1,9,eval] board([8,1,7,4]). 1009 [hyper,995,1,6,eval] board([5,8,1,7,4]). 1013 [hyper,1009,1,3,eval] board([2,5,8,1,7,4]). 1014 [hyper,1013,1,7,eval] board([6,2,5,8,1,7,4]). 1015 [hyper,1014,1,4,eval] board([3,6,2,5,8,1,7,4]). 1016 [binary,1015.1,11.1] $Ans([3,6,2,5,8,1,7,4]). ------------ end of proof ------------- given clause #956: (wt=18) 1015 [hyper,1014,1,4,eval] board([3,6,2,5,8,1,7,4]). given clause #957: (wt=12) 1008 [hyper,995,1,7,eval] board([6,8,1,7,4]). given clause #958: (wt=14) 1017 [hyper,1008,1,3,eval] board([2,6,8,1,7,4]). given clause #959: (wt=8) 993 [hyper,805,1,4,eval] board([3,7,4]). given clause #960: (wt=10) 1019 [hyper,993,1,7,eval] board([6,3,7,4]). given clause #961: (wt=12) 1020 [hyper,1019,1,3,eval] board([2,6,3,7,4]). given clause #962: (wt=14) 1021 [hyper,1020,1,6,eval] board([5,2,6,3,7,4]). given clause #963: (wt=16) 1023 [hyper,1021,1,2,eval] board([1,5,2,6,3,7,4]). given clause #964: (wt=16) 1022 [hyper,1021,1,9,eval] board([8,5,2,6,3,7,4]). given clause #965: (wt=10) 1018 [hyper,993,1,9,eval] board([8,3,7,4]). given clause #966: (wt=12) 1025 [hyper,1018,1,3,eval] board([2,8,3,7,4]). given clause #967: (wt=14) 1026 [hyper,1025,1,6,eval] board([5,2,8,3,7,4]). given clause #968: (wt=16) 1027 [hyper,1026,1,2,eval] board([1,5,2,8,3,7,4]). -------- PROOF -------- 1029 [binary,1028.1,11.1] $Ans([6,1,5,2,8,3,7,4]). ----> UNIT CONFLICT at 0.37 sec ----> 1029 [binary,1028.1,11.1] $Ans([6,1,5,2,8,3,7,4]). Length of proof is 8. Level of proof is 8. ---------------- PROOF ---------------- 1 [] -board(B)| -pick(New_col)| -$TRUE(ok(B,1,New_col))|board([New_col|B]). 2 [] pick(1). 3 [] pick(2). 4 [] pick(3). 5 [] pick(4). 6 [] pick(5). 7 [] pick(6). 8 [] pick(7). 9 [] pick(8). 10 [] board([]). 11 [] -board([X1,X2,X3,X4,X5,X6,X7,X8])|$Ans([X1,X2,X3,X4,X5,X6,X7,X8]). 18 [hyper,10,1,5,eval] board([4]). 805 [hyper,18,1,8,eval] board([7,4]). 993 [hyper,805,1,4,eval] board([3,7,4]). 1018 [hyper,993,1,9,eval] board([8,3,7,4]). 1025 [hyper,1018,1,3,eval] board([2,8,3,7,4]). 1026 [hyper,1025,1,6,eval] board([5,2,8,3,7,4]). 1027 [hyper,1026,1,2,eval] board([1,5,2,8,3,7,4]). 1028 [hyper,1027,1,7,eval] board([6,1,5,2,8,3,7,4]). 1029 [binary,1028.1,11.1] $Ans([6,1,5,2,8,3,7,4]). ------------ end of proof ------------- given clause #969: (wt=18) 1028 [hyper,1027,1,7,eval] board([6,1,5,2,8,3,7,4]). given clause #970: (wt=12) 1024 [hyper,1018,1,7,eval] board([6,8,3,7,4]). given clause #971: (wt=14) 1031 [hyper,1024,1,2,eval] board([1,6,8,3,7,4]). given clause #972: (wt=14) 1030 [hyper,1024,1,3,eval] board([2,6,8,3,7,4]). given clause #973: (wt=8) 992 [hyper,805,1,6,eval] board([5,7,4]). given clause #974: (wt=10) 1034 [hyper,992,1,3,eval] board([2,5,7,4]). given clause #975: (wt=12) 1035 [hyper,1034,1,7,eval] board([6,2,5,7,4]). given clause #976: (wt=14) 1036 [hyper,1035,1,2,eval] board([1,6,2,5,7,4]). given clause #977: (wt=16) 1037 [hyper,1036,1,4,eval] board([3,1,6,2,5,7,4]). -------- PROOF -------- 1039 [binary,1038.1,11.1] $Ans([8,3,1,6,2,5,7,4]). ----> UNIT CONFLICT at 0.37 sec ----> 1039 [binary,1038.1,11.1] $Ans([8,3,1,6,2,5,7,4]). Length of proof is 8. Level of proof is 8. ---------------- PROOF ---------------- 1 [] -board(B)| -pick(New_col)| -$TRUE(ok(B,1,New_col))|board([New_col|B]). 2 [] pick(1). 3 [] pick(2). 4 [] pick(3). 5 [] pick(4). 6 [] pick(5). 7 [] pick(6). 8 [] pick(7). 9 [] pick(8). 10 [] board([]). 11 [] -board([X1,X2,X3,X4,X5,X6,X7,X8])|$Ans([X1,X2,X3,X4,X5,X6,X7,X8]). 18 [hyper,10,1,5,eval] board([4]). 805 [hyper,18,1,8,eval] board([7,4]). 992 [hyper,805,1,6,eval] board([5,7,4]). 1034 [hyper,992,1,3,eval] board([2,5,7,4]). 1035 [hyper,1034,1,7,eval] board([6,2,5,7,4]). 1036 [hyper,1035,1,2,eval] board([1,6,2,5,7,4]). 1037 [hyper,1036,1,4,eval] board([3,1,6,2,5,7,4]). 1038 [hyper,1037,1,9,eval] board([8,3,1,6,2,5,7,4]). 1039 [binary,1038.1,11.1] $Ans([8,3,1,6,2,5,7,4]). ------------ end of proof ------------- given clause #978: (wt=18) 1038 [hyper,1037,1,9,eval] board([8,3,1,6,2,5,7,4]). given clause #979: (wt=10) 1033 [hyper,992,1,4,eval] board([3,5,7,4]). given clause #980: (wt=12) 1041 [hyper,1033,1,2,eval] board([1,3,5,7,4]). given clause #981: (wt=14) 1042 [hyper,1041,1,7,eval] board([6,1,3,5,7,4]). given clause #982: (wt=16) 1043 [hyper,1042,1,9,eval] board([8,6,1,3,5,7,4]). -------- PROOF -------- 1045 [binary,1044.1,11.1] $Ans([2,8,6,1,3,5,7,4]). ----> UNIT CONFLICT at 0.38 sec ----> 1045 [binary,1044.1,11.1] $Ans([2,8,6,1,3,5,7,4]). Length of proof is 8. Level of proof is 8. ---------------- PROOF ---------------- 1 [] -board(B)| -pick(New_col)| -$TRUE(ok(B,1,New_col))|board([New_col|B]). 2 [] pick(1). 3 [] pick(2). 4 [] pick(3). 5 [] pick(4). 6 [] pick(5). 7 [] pick(6). 8 [] pick(7). 9 [] pick(8). 10 [] board([]). 11 [] -board([X1,X2,X3,X4,X5,X6,X7,X8])|$Ans([X1,X2,X3,X4,X5,X6,X7,X8]). 18 [hyper,10,1,5,eval] board([4]). 805 [hyper,18,1,8,eval] board([7,4]). 992 [hyper,805,1,6,eval] board([5,7,4]). 1033 [hyper,992,1,4,eval] board([3,5,7,4]). 1041 [hyper,1033,1,2,eval] board([1,3,5,7,4]). 1042 [hyper,1041,1,7,eval] board([6,1,3,5,7,4]). 1043 [hyper,1042,1,9,eval] board([8,6,1,3,5,7,4]). 1044 [hyper,1043,1,3,eval] board([2,8,6,1,3,5,7,4]). 1045 [binary,1044.1,11.1] $Ans([2,8,6,1,3,5,7,4]). ------------ end of proof ------------- given clause #983: (wt=18) 1044 [hyper,1043,1,3,eval] board([2,8,6,1,3,5,7,4]). given clause #984: (wt=12) 1040 [hyper,1033,1,7,eval] board([6,3,5,7,4]). given clause #985: (wt=10) 1032 [hyper,992,1,9,eval] board([8,5,7,4]). given clause #986: (wt=12) 1048 [hyper,1032,1,2,eval] board([1,8,5,7,4]). given clause #987: (wt=12) 1047 [hyper,1032,1,3,eval] board([2,8,5,7,4]). given clause #988: (wt=12) 1046 [hyper,1032,1,7,eval] board([6,8,5,7,4]). given clause #989: (wt=14) 1049 [hyper,1046,1,2,eval] board([1,6,8,5,7,4]). given clause #990: (wt=16) 1050 [hyper,1049,1,4,eval] board([3,1,6,8,5,7,4]). given clause #991: (wt=6) 804 [hyper,18,1,9,eval] board([8,4]). given clause #992: (wt=8) 1053 [hyper,804,1,2,eval] board([1,8,4]). given clause #993: (wt=10) 1055 [hyper,1053,1,4,eval] board([3,1,8,4]). given clause #994: (wt=12) 1057 [hyper,1055,1,7,eval] board([6,3,1,8,4]). given clause #995: (wt=14) 1058 [hyper,1057,1,3,eval] board([2,6,3,1,8,4]). given clause #996: (wt=16) 1059 [hyper,1058,1,8,eval] board([7,2,6,3,1,8,4]). -------- PROOF -------- 1061 [binary,1060.1,11.1] $Ans([5,7,2,6,3,1,8,4]). ----> UNIT CONFLICT at 0.38 sec ----> 1061 [binary,1060.1,11.1] $Ans([5,7,2,6,3,1,8,4]). Length of proof is 8. Level of proof is 8. ---------------- PROOF ---------------- 1 [] -board(B)| -pick(New_col)| -$TRUE(ok(B,1,New_col))|board([New_col|B]). 2 [] pick(1). 3 [] pick(2). 4 [] pick(3). 5 [] pick(4). 6 [] pick(5). 7 [] pick(6). 8 [] pick(7). 9 [] pick(8). 10 [] board([]). 11 [] -board([X1,X2,X3,X4,X5,X6,X7,X8])|$Ans([X1,X2,X3,X4,X5,X6,X7,X8]). 18 [hyper,10,1,5,eval] board([4]). 804 [hyper,18,1,9,eval] board([8,4]). 1053 [hyper,804,1,2,eval] board([1,8,4]). 1055 [hyper,1053,1,4,eval] board([3,1,8,4]). 1057 [hyper,1055,1,7,eval] board([6,3,1,8,4]). 1058 [hyper,1057,1,3,eval] board([2,6,3,1,8,4]). 1059 [hyper,1058,1,8,eval] board([7,2,6,3,1,8,4]). 1060 [hyper,1059,1,6,eval] board([5,7,2,6,3,1,8,4]). 1061 [binary,1060.1,11.1] $Ans([5,7,2,6,3,1,8,4]). ------------ end of proof ------------- given clause #997: (wt=18) 1060 [hyper,1059,1,6,eval] board([5,7,2,6,3,1,8,4]). given clause #998: (wt=12) 1056 [hyper,1055,1,8,eval] board([7,3,1,8,4]). given clause #999: (wt=14) 1062 [hyper,1056,1,3,eval] board([2,7,3,1,8,4]). given clause #1000: (wt=10) 1054 [hyper,1053,1,6,eval] board([5,1,8,4]). given clause #1001: (wt=12) 1064 [hyper,1054,1,3,eval] board([2,5,1,8,4]). given clause #1002: (wt=14) 1065 [hyper,1064,1,7,eval] board([6,2,5,1,8,4]). given clause #1003: (wt=12) 1063 [hyper,1054,1,8,eval] board([7,5,1,8,4]). given clause #1004: (wt=14) 1066 [hyper,1063,1,3,eval] board([2,7,5,1,8,4]). given clause #1005: (wt=16) 1067 [hyper,1066,1,7,eval] board([6,2,7,5,1,8,4]). -------- PROOF -------- 1069 [binary,1068.1,11.1] $Ans([3,6,2,7,5,1,8,4]). ----> UNIT CONFLICT at 0.38 sec ----> 1069 [binary,1068.1,11.1] $Ans([3,6,2,7,5,1,8,4]). Length of proof is 8. Level of proof is 8. ---------------- PROOF ---------------- 1 [] -board(B)| -pick(New_col)| -$TRUE(ok(B,1,New_col))|board([New_col|B]). 2 [] pick(1). 3 [] pick(2). 4 [] pick(3). 5 [] pick(4). 6 [] pick(5). 7 [] pick(6). 8 [] pick(7). 9 [] pick(8). 10 [] board([]). 11 [] -board([X1,X2,X3,X4,X5,X6,X7,X8])|$Ans([X1,X2,X3,X4,X5,X6,X7,X8]). 18 [hyper,10,1,5,eval] board([4]). 804 [hyper,18,1,9,eval] board([8,4]). 1053 [hyper,804,1,2,eval] board([1,8,4]). 1054 [hyper,1053,1,6,eval] board([5,1,8,4]). 1063 [hyper,1054,1,8,eval] board([7,5,1,8,4]). 1066 [hyper,1063,1,3,eval] board([2,7,5,1,8,4]). 1067 [hyper,1066,1,7,eval] board([6,2,7,5,1,8,4]). 1068 [hyper,1067,1,4,eval] board([3,6,2,7,5,1,8,4]). 1069 [binary,1068.1,11.1] $Ans([3,6,2,7,5,1,8,4]). ------------ end of proof ------------- given clause #1006: (wt=18) 1068 [hyper,1067,1,4,eval] board([3,6,2,7,5,1,8,4]). given clause #1007: (wt=8) 1052 [hyper,804,1,4,eval] board([3,8,4]). given clause #1008: (wt=10) 1070 [hyper,1052,1,6,eval] board([5,3,8,4]). given clause #1009: (wt=12) 1072 [hyper,1070,1,3,eval] board([2,5,3,8,4]). given clause #1010: (wt=12) 1071 [hyper,1070,1,8,eval] board([7,5,3,8,4]). given clause #1011: (wt=14) 1074 [hyper,1071,1,2,eval] board([1,7,5,3,8,4]). given clause #1012: (wt=16) 1075 [hyper,1074,1,7,eval] board([6,1,7,5,3,8,4]). given clause #1013: (wt=14) 1073 [hyper,1071,1,3,eval] board([2,7,5,3,8,4]). given clause #1014: (wt=16) 1076 [hyper,1073,1,7,eval] board([6,2,7,5,3,8,4]). given clause #1015: (wt=8) 1051 [hyper,804,1,6,eval] board([5,8,4]). given clause #1016: (wt=10) 1078 [hyper,1051,1,3,eval] board([2,5,8,4]). given clause #1017: (wt=12) 1079 [hyper,1078,1,7,eval] board([6,2,5,8,4]). given clause #1018: (wt=14) 1081 [hyper,1079,1,2,eval] board([1,6,2,5,8,4]). given clause #1019: (wt=16) 1082 [hyper,1081,1,8,eval] board([7,1,6,2,5,8,4]). given clause #1020: (wt=14) 1080 [hyper,1079,1,4,eval] board([3,6,2,5,8,4]). given clause #1021: (wt=16) 1083 [hyper,1080,1,8,eval] board([7,3,6,2,5,8,4]). given clause #1022: (wt=10) 1077 [hyper,1051,1,4,eval] board([3,5,8,4]). given clause #1023: (wt=12) 1085 [hyper,1077,1,2,eval] board([1,3,5,8,4]). given clause #1024: (wt=14) 1087 [hyper,1085,1,7,eval] board([6,1,3,5,8,4]). given clause #1025: (wt=16) 1088 [hyper,1087,1,3,eval] board([2,6,1,3,5,8,4]). given clause #1026: (wt=14) 1086 [hyper,1085,1,8,eval] board([7,1,3,5,8,4]). given clause #1027: (wt=16) 1089 [hyper,1086,1,3,eval] board([2,7,1,3,5,8,4]). -------- PROOF -------- 1091 [binary,1090.1,11.1] $Ans([6,2,7,1,3,5,8,4]). ----> UNIT CONFLICT at 0.39 sec ----> 1091 [binary,1090.1,11.1] $Ans([6,2,7,1,3,5,8,4]). Length of proof is 8. Level of proof is 8. ---------------- PROOF ---------------- 1 [] -board(B)| -pick(New_col)| -$TRUE(ok(B,1,New_col))|board([New_col|B]). 2 [] pick(1). 3 [] pick(2). 4 [] pick(3). 5 [] pick(4). 6 [] pick(5). 7 [] pick(6). 8 [] pick(7). 9 [] pick(8). 10 [] board([]). 11 [] -board([X1,X2,X3,X4,X5,X6,X7,X8])|$Ans([X1,X2,X3,X4,X5,X6,X7,X8]). 18 [hyper,10,1,5,eval] board([4]). 804 [hyper,18,1,9,eval] board([8,4]). 1051 [hyper,804,1,6,eval] board([5,8,4]). 1077 [hyper,1051,1,4,eval] board([3,5,8,4]). 1085 [hyper,1077,1,2,eval] board([1,3,5,8,4]). 1086 [hyper,1085,1,8,eval] board([7,1,3,5,8,4]). 1089 [hyper,1086,1,3,eval] board([2,7,1,3,5,8,4]). 1090 [hyper,1089,1,7,eval] board([6,2,7,1,3,5,8,4]). 1091 [binary,1090.1,11.1] $Ans([6,2,7,1,3,5,8,4]). ------------ end of proof ------------- given clause #1028: (wt=18) 1090 [hyper,1089,1,7,eval] board([6,2,7,1,3,5,8,4]). given clause #1029: (wt=12) 1084 [hyper,1077,1,7,eval] board([6,3,5,8,4]). given clause #1030: (wt=4) 17 [hyper,10,1,6,eval] board([5]). given clause #1031: (wt=6) 1096 [hyper,17,1,2,eval] board([1,5]). given clause #1032: (wt=8) 1099 [hyper,1096,1,5,eval] board([4,1,5]). given clause #1033: (wt=10) 1101 [hyper,1099,1,7,eval] board([6,4,1,5]). given clause #1034: (wt=12) 1103 [hyper,1101,1,4,eval] board([3,6,4,1,5]). given clause #1035: (wt=12) 1102 [hyper,1101,1,9,eval] board([8,6,4,1,5]). given clause #1036: (wt=14) 1105 [hyper,1102,1,3,eval] board([2,8,6,4,1,5]). given clause #1037: (wt=16) 1106 [hyper,1105,1,8,eval] board([7,2,8,6,4,1,5]). -------- PROOF -------- 1108 [binary,1107.1,11.1] $Ans([3,7,2,8,6,4,1,5]). ----> UNIT CONFLICT at 0.40 sec ----> 1108 [binary,1107.1,11.1] $Ans([3,7,2,8,6,4,1,5]). Length of proof is 8. Level of proof is 8. ---------------- PROOF ---------------- 1 [] -board(B)| -pick(New_col)| -$TRUE(ok(B,1,New_col))|board([New_col|B]). 2 [] pick(1). 3 [] pick(2). 4 [] pick(3). 5 [] pick(4). 6 [] pick(5). 7 [] pick(6). 8 [] pick(7). 9 [] pick(8). 10 [] board([]). 11 [] -board([X1,X2,X3,X4,X5,X6,X7,X8])|$Ans([X1,X2,X3,X4,X5,X6,X7,X8]). 17 [hyper,10,1,6,eval] board([5]). 1096 [hyper,17,1,2,eval] board([1,5]). 1099 [hyper,1096,1,5,eval] board([4,1,5]). 1101 [hyper,1099,1,7,eval] board([6,4,1,5]). 1102 [hyper,1101,1,9,eval] board([8,6,4,1,5]). 1105 [hyper,1102,1,3,eval] board([2,8,6,4,1,5]). 1106 [hyper,1105,1,8,eval] board([7,2,8,6,4,1,5]). 1107 [hyper,1106,1,4,eval] board([3,7,2,8,6,4,1,5]). 1108 [binary,1107.1,11.1] $Ans([3,7,2,8,6,4,1,5]). ------------ end of proof ------------- given clause #1038: (wt=18) 1107 [hyper,1106,1,4,eval] board([3,7,2,8,6,4,1,5]). given clause #1039: (wt=14) 1104 [hyper,1102,1,4,eval] board([3,8,6,4,1,5]). given clause #1040: (wt=16) 1109 [hyper,1104,1,8,eval] board([7,3,8,6,4,1,5]). given clause #1041: (wt=10) 1100 [hyper,1099,1,8,eval] board([7,4,1,5]). given clause #1042: (wt=12) 1110 [hyper,1100,1,4,eval] board([3,7,4,1,5]). given clause #1043: (wt=14) 1112 [hyper,1110,1,7,eval] board([6,3,7,4,1,5]). given clause #1044: (wt=16) 1113 [hyper,1112,1,3,eval] board([2,6,3,7,4,1,5]). given clause #1045: (wt=14) 1111 [hyper,1110,1,9,eval] board([8,3,7,4,1,5]). given clause #1046: (wt=16) 1114 [hyper,1111,1,3,eval] board([2,8,3,7,4,1,5]). given clause #1047: (wt=8) 1098 [hyper,1096,1,7,eval] board([6,1,5]). given clause #1048: (wt=10) 1115 [hyper,1098,1,5,eval] board([4,6,1,5]). given clause #1049: (wt=12) 1117 [hyper,1115,1,3,eval] board([2,4,6,1,5]). given clause #1050: (wt=14) 1119 [hyper,1117,1,8,eval] board([7,2,4,6,1,5]). given clause #1051: (wt=16) 1120 [hyper,1119,1,4,eval] board([3,7,2,4,6,1,5]). given clause #1052: (wt=14) 1118 [hyper,1117,1,9,eval] board([8,2,4,6,1,5]). given clause #1053: (wt=16) 1121 [hyper,1118,1,4,eval] board([3,8,2,4,6,1,5]). given clause #1054: (wt=12) 1116 [hyper,1115,1,8,eval] board([7,4,6,1,5]). given clause #1055: (wt=8) 1097 [hyper,1096,1,9,eval] board([8,1,5]). given clause #1056: (wt=10) 1123 [hyper,1097,1,5,eval] board([4,8,1,5]). given clause #1057: (wt=12) 1125 [hyper,1123,1,3,eval] board([2,4,8,1,5]). given clause #1058: (wt=14) 1126 [hyper,1125,1,8,eval] board([7,2,4,8,1,5]). given clause #1059: (wt=16) 1127 [hyper,1126,1,4,eval] board([3,7,2,4,8,1,5]). -------- PROOF -------- 1129 [binary,1128.1,11.1] $Ans([6,3,7,2,4,8,1,5]). ----> UNIT CONFLICT at 0.40 sec ----> 1129 [binary,1128.1,11.1] $Ans([6,3,7,2,4,8,1,5]). Length of proof is 8. Level of proof is 8. ---------------- PROOF ---------------- 1 [] -board(B)| -pick(New_col)| -$TRUE(ok(B,1,New_col))|board([New_col|B]). 2 [] pick(1). 3 [] pick(2). 4 [] pick(3). 5 [] pick(4). 6 [] pick(5). 7 [] pick(6). 8 [] pick(7). 9 [] pick(8). 10 [] board([]). 11 [] -board([X1,X2,X3,X4,X5,X6,X7,X8])|$Ans([X1,X2,X3,X4,X5,X6,X7,X8]). 17 [hyper,10,1,6,eval] board([5]). 1096 [hyper,17,1,2,eval] board([1,5]). 1097 [hyper,1096,1,9,eval] board([8,1,5]). 1123 [hyper,1097,1,5,eval] board([4,8,1,5]). 1125 [hyper,1123,1,3,eval] board([2,4,8,1,5]). 1126 [hyper,1125,1,8,eval] board([7,2,4,8,1,5]). 1127 [hyper,1126,1,4,eval] board([3,7,2,4,8,1,5]). 1128 [hyper,1127,1,7,eval] board([6,3,7,2,4,8,1,5]). 1129 [binary,1128.1,11.1] $Ans([6,3,7,2,4,8,1,5]). ------------ end of proof ------------- given clause #1060: (wt=18) 1128 [hyper,1127,1,7,eval] board([6,3,7,2,4,8,1,5]). given clause #1061: (wt=12) 1124 [hyper,1123,1,8,eval] board([7,4,8,1,5]). given clause #1062: (wt=14) 1130 [hyper,1124,1,4,eval] board([3,7,4,8,1,5]). given clause #1063: (wt=10) 1122 [hyper,1097,1,7,eval] board([6,8,1,5]). given clause #1064: (wt=12) 1132 [hyper,1122,1,3,eval] board([2,6,8,1,5]). given clause #1065: (wt=14) 1133 [hyper,1132,1,8,eval] board([7,2,6,8,1,5]). given clause #1066: (wt=12) 1131 [hyper,1122,1,4,eval] board([3,6,8,1,5]). given clause #1067: (wt=14) 1134 [hyper,1131,1,8,eval] board([7,3,6,8,1,5]). given clause #1068: (wt=16) 1135 [hyper,1134,1,3,eval] board([2,7,3,6,8,1,5]). -------- PROOF -------- 1137 [binary,1136.1,11.1] $Ans([4,2,7,3,6,8,1,5]). ----> UNIT CONFLICT at 0.41 sec ----> 1137 [binary,1136.1,11.1] $Ans([4,2,7,3,6,8,1,5]). Length of proof is 8. Level of proof is 8. ---------------- PROOF ---------------- 1 [] -board(B)| -pick(New_col)| -$TRUE(ok(B,1,New_col))|board([New_col|B]). 2 [] pick(1). 3 [] pick(2). 4 [] pick(3). 5 [] pick(4). 6 [] pick(5). 7 [] pick(6). 8 [] pick(7). 9 [] pick(8). 10 [] board([]). 11 [] -board([X1,X2,X3,X4,X5,X6,X7,X8])|$Ans([X1,X2,X3,X4,X5,X6,X7,X8]). 17 [hyper,10,1,6,eval] board([5]). 1096 [hyper,17,1,2,eval] board([1,5]). 1097 [hyper,1096,1,9,eval] board([8,1,5]). 1122 [hyper,1097,1,7,eval] board([6,8,1,5]). 1131 [hyper,1122,1,4,eval] board([3,6,8,1,5]). 1134 [hyper,1131,1,8,eval] board([7,3,6,8,1,5]). 1135 [hyper,1134,1,3,eval] board([2,7,3,6,8,1,5]). 1136 [hyper,1135,1,5,eval] board([4,2,7,3,6,8,1,5]). 1137 [binary,1136.1,11.1] $Ans([4,2,7,3,6,8,1,5]). ------------ end of proof ------------- given clause #1069: (wt=18) 1136 [hyper,1135,1,5,eval] board([4,2,7,3,6,8,1,5]). given clause #1070: (wt=6) 1095 [hyper,17,1,3,eval] board([2,5]). given clause #1071: (wt=8) 1140 [hyper,1095,1,5,eval] board([4,2,5]). given clause #1072: (wt=10) 1143 [hyper,1140,1,2,eval] board([1,4,2,5]). given clause #1073: (wt=12) 1146 [hyper,1143,1,4,eval] board([3,1,4,2,5]). given clause #1074: (wt=14) 1147 [hyper,1146,1,9,eval] board([8,3,1,4,2,5]). given clause #1075: (wt=16) 1148 [hyper,1147,1,7,eval] board([6,8,3,1,4,2,5]). given clause #1076: (wt=12) 1145 [hyper,1143,1,8,eval] board([7,1,4,2,5]). given clause #1077: (wt=12) 1144 [hyper,1143,1,9,eval] board([8,1,4,2,5]). given clause #1078: (wt=10) 1142 [hyper,1140,1,7,eval] board([6,4,2,5]). given clause #1079: (wt=12) 1150 [hyper,1142,1,4,eval] board([3,6,4,2,5]). given clause #1080: (wt=12) 1149 [hyper,1142,1,9,eval] board([8,6,4,2,5]). given clause #1081: (wt=14) 1151 [hyper,1149,1,4,eval] board([3,8,6,4,2,5]). given clause #1082: (wt=16) 1152 [hyper,1151,1,2,eval] board([1,3,8,6,4,2,5]). -------- PROOF -------- 1154 [binary,1153.1,11.1] $Ans([7,1,3,8,6,4,2,5]). ----> UNIT CONFLICT at 0.41 sec ----> 1154 [binary,1153.1,11.1] $Ans([7,1,3,8,6,4,2,5]). Length of proof is 8. Level of proof is 8. ---------------- PROOF ---------------- 1 [] -board(B)| -pick(New_col)| -$TRUE(ok(B,1,New_col))|board([New_col|B]). 2 [] pick(1). 3 [] pick(2). 4 [] pick(3). 5 [] pick(4). 6 [] pick(5). 7 [] pick(6). 8 [] pick(7). 9 [] pick(8). 10 [] board([]). 11 [] -board([X1,X2,X3,X4,X5,X6,X7,X8])|$Ans([X1,X2,X3,X4,X5,X6,X7,X8]). 17 [hyper,10,1,6,eval] board([5]). 1095 [hyper,17,1,3,eval] board([2,5]). 1140 [hyper,1095,1,5,eval] board([4,2,5]). 1142 [hyper,1140,1,7,eval] board([6,4,2,5]). 1149 [hyper,1142,1,9,eval] board([8,6,4,2,5]). 1151 [hyper,1149,1,4,eval] board([3,8,6,4,2,5]). 1152 [hyper,1151,1,2,eval] board([1,3,8,6,4,2,5]). 1153 [hyper,1152,1,8,eval] board([7,1,3,8,6,4,2,5]). 1154 [binary,1153.1,11.1] $Ans([7,1,3,8,6,4,2,5]). ------------ end of proof ------------- given clause #1083: (wt=18) 1153 [hyper,1152,1,8,eval] board([7,1,3,8,6,4,2,5]). given clause #1084: (wt=10) 1141 [hyper,1140,1,8,eval] board([7,4,2,5]). given clause #1085: (wt=12) 1155 [hyper,1141,1,4,eval] board([3,7,4,2,5]). given clause #1086: (wt=14) 1156 [hyper,1155,1,9,eval] board([8,3,7,4,2,5]). given clause #1087: (wt=16) 1157 [hyper,1156,1,7,eval] board([6,8,3,7,4,2,5]). -------- PROOF -------- 1159 [binary,1158.1,11.1] $Ans([1,6,8,3,7,4,2,5]). ----> UNIT CONFLICT at 0.41 sec ----> 1159 [binary,1158.1,11.1] $Ans([1,6,8,3,7,4,2,5]). Length of proof is 8. Level of proof is 8. ---------------- PROOF ---------------- 1 [] -board(B)| -pick(New_col)| -$TRUE(ok(B,1,New_col))|board([New_col|B]). 2 [] pick(1). 3 [] pick(2). 4 [] pick(3). 5 [] pick(4). 6 [] pick(5). 7 [] pick(6). 8 [] pick(7). 9 [] pick(8). 10 [] board([]). 11 [] -board([X1,X2,X3,X4,X5,X6,X7,X8])|$Ans([X1,X2,X3,X4,X5,X6,X7,X8]). 17 [hyper,10,1,6,eval] board([5]). 1095 [hyper,17,1,3,eval] board([2,5]). 1140 [hyper,1095,1,5,eval] board([4,2,5]). 1141 [hyper,1140,1,8,eval] board([7,4,2,5]). 1155 [hyper,1141,1,4,eval] board([3,7,4,2,5]). 1156 [hyper,1155,1,9,eval] board([8,3,7,4,2,5]). 1157 [hyper,1156,1,7,eval] board([6,8,3,7,4,2,5]). 1158 [hyper,1157,1,2,eval] board([1,6,8,3,7,4,2,5]). 1159 [binary,1158.1,11.1] $Ans([1,6,8,3,7,4,2,5]). ------------ end of proof ------------- given clause #1088: (wt=18) 1158 [hyper,1157,1,2,eval] board([1,6,8,3,7,4,2,5]). given clause #1089: (wt=8) 1139 [hyper,1095,1,7,eval] board([6,2,5]). given clause #1090: (wt=10) 1161 [hyper,1139,1,2,eval] board([1,6,2,5]). given clause #1091: (wt=12) 1163 [hyper,1161,1,4,eval] board([3,1,6,2,5]). given clause #1092: (wt=14) 1165 [hyper,1163,1,8,eval] board([7,3,1,6,2,5]). given clause #1093: (wt=14) 1164 [hyper,1163,1,9,eval] board([8,3,1,6,2,5]). given clause #1094: (wt=12) 1162 [hyper,1161,1,8,eval] board([7,1,6,2,5]). given clause #1095: (wt=14) 1166 [hyper,1162,1,5,eval] board([4,7,1,6,2,5]). given clause #1096: (wt=16) 1167 [hyper,1166,1,9,eval] board([8,4,7,1,6,2,5]). -------- PROOF -------- 1169 [binary,1168.1,11.1] $Ans([3,8,4,7,1,6,2,5]). ----> UNIT CONFLICT at 0.42 sec ----> 1169 [binary,1168.1,11.1] $Ans([3,8,4,7,1,6,2,5]). Length of proof is 8. Level of proof is 8. ---------------- PROOF ---------------- 1 [] -board(B)| -pick(New_col)| -$TRUE(ok(B,1,New_col))|board([New_col|B]). 2 [] pick(1). 3 [] pick(2). 4 [] pick(3). 5 [] pick(4). 6 [] pick(5). 7 [] pick(6). 8 [] pick(7). 9 [] pick(8). 10 [] board([]). 11 [] -board([X1,X2,X3,X4,X5,X6,X7,X8])|$Ans([X1,X2,X3,X4,X5,X6,X7,X8]). 17 [hyper,10,1,6,eval] board([5]). 1095 [hyper,17,1,3,eval] board([2,5]). 1139 [hyper,1095,1,7,eval] board([6,2,5]). 1161 [hyper,1139,1,2,eval] board([1,6,2,5]). 1162 [hyper,1161,1,8,eval] board([7,1,6,2,5]). 1166 [hyper,1162,1,5,eval] board([4,7,1,6,2,5]). 1167 [hyper,1166,1,9,eval] board([8,4,7,1,6,2,5]). 1168 [hyper,1167,1,4,eval] board([3,8,4,7,1,6,2,5]). 1169 [binary,1168.1,11.1] $Ans([3,8,4,7,1,6,2,5]). ------------ end of proof ------------- given clause #1097: (wt=18) 1168 [hyper,1167,1,4,eval] board([3,8,4,7,1,6,2,5]). given clause #1098: (wt=10) 1160 [hyper,1139,1,4,eval] board([3,6,2,5]). given clause #1099: (wt=12) 1170 [hyper,1160,1,8,eval] board([7,3,6,2,5]). given clause #1100: (wt=14) 1171 [hyper,1170,1,5,eval] board([4,7,3,6,2,5]). given clause #1101: (wt=16) 1173 [hyper,1171,1,2,eval] board([1,4,7,3,6,2,5]). given clause #1102: (wt=16) 1172 [hyper,1171,1,9,eval] board([8,4,7,3,6,2,5]). given clause #1103: (wt=8) 1138 [hyper,1095,1,9,eval] board([8,2,5]). given clause #1104: (wt=10) 1176 [hyper,1138,1,2,eval] board([1,8,2,5]). given clause #1105: (wt=12) 1179 [hyper,1176,1,4,eval] board([3,1,8,2,5]). given clause #1106: (wt=14) 1180 [hyper,1179,1,8,eval] board([7,3,1,8,2,5]). given clause #1107: (wt=12) 1178 [hyper,1176,1,5,eval] board([4,1,8,2,5]). given clause #1108: (wt=14) 1181 [hyper,1178,1,8,eval] board([7,4,1,8,2,5]). given clause #1109: (wt=16) 1182 [hyper,1181,1,4,eval] board([3,7,4,1,8,2,5]). -------- PROOF -------- 1184 [binary,1183.1,11.1] $Ans([6,3,7,4,1,8,2,5]). ----> UNIT CONFLICT at 0.42 sec ----> 1184 [binary,1183.1,11.1] $Ans([6,3,7,4,1,8,2,5]). Length of proof is 8. Level of proof is 8. ---------------- PROOF ---------------- 1 [] -board(B)| -pick(New_col)| -$TRUE(ok(B,1,New_col))|board([New_col|B]). 2 [] pick(1). 3 [] pick(2). 4 [] pick(3). 5 [] pick(4). 6 [] pick(5). 7 [] pick(6). 8 [] pick(7). 9 [] pick(8). 10 [] board([]). 11 [] -board([X1,X2,X3,X4,X5,X6,X7,X8])|$Ans([X1,X2,X3,X4,X5,X6,X7,X8]). 17 [hyper,10,1,6,eval] board([5]). 1095 [hyper,17,1,3,eval] board([2,5]). 1138 [hyper,1095,1,9,eval] board([8,2,5]). 1176 [hyper,1138,1,2,eval] board([1,8,2,5]). 1178 [hyper,1176,1,5,eval] board([4,1,8,2,5]). 1181 [hyper,1178,1,8,eval] board([7,4,1,8,2,5]). 1182 [hyper,1181,1,4,eval] board([3,7,4,1,8,2,5]). 1183 [hyper,1182,1,7,eval] board([6,3,7,4,1,8,2,5]). 1184 [binary,1183.1,11.1] $Ans([6,3,7,4,1,8,2,5]). ------------ end of proof ------------- given clause #1110: (wt=18) 1183 [hyper,1182,1,7,eval] board([6,3,7,4,1,8,2,5]). given clause #1111: (wt=12) 1177 [hyper,1176,1,8,eval] board([7,1,8,2,5]). given clause #1112: (wt=14) 1185 [hyper,1177,1,5,eval] board([4,7,1,8,2,5]). given clause #1113: (wt=16) 1186 [hyper,1185,1,7,eval] board([6,4,7,1,8,2,5]). given clause #1114: (wt=10) 1175 [hyper,1138,1,4,eval] board([3,8,2,5]). given clause #1115: (wt=12) 1187 [hyper,1175,1,8,eval] board([7,3,8,2,5]). given clause #1116: (wt=14) 1188 [hyper,1187,1,5,eval] board([4,7,3,8,2,5]). given clause #1117: (wt=16) 1189 [hyper,1188,1,2,eval] board([1,4,7,3,8,2,5]). given clause #1118: (wt=10) 1174 [hyper,1138,1,7,eval] board([6,8,2,5]). given clause #1119: (wt=12) 1191 [hyper,1174,1,4,eval] board([3,6,8,2,5]). given clause #1120: (wt=14) 1193 [hyper,1191,1,2,eval] board([1,3,6,8,2,5]). given clause #1121: (wt=14) 1192 [hyper,1191,1,8,eval] board([7,3,6,8,2,5]). given clause #1122: (wt=12) 1190 [hyper,1174,1,5,eval] board([4,6,8,2,5]). given clause #1123: (wt=14) 1195 [hyper,1190,1,2,eval] board([1,4,6,8,2,5]). given clause #1124: (wt=14) 1194 [hyper,1190,1,8,eval] board([7,4,6,8,2,5]). given clause #1125: (wt=16) 1196 [hyper,1194,1,2,eval] board([1,7,4,6,8,2,5]). given clause #1126: (wt=6) 1094 [hyper,17,1,4,eval] board([3,5]). given clause #1127: (wt=8) 1199 [hyper,1094,1,2,eval] board([1,3,5]). given clause #1128: (wt=10) 1202 [hyper,1199,1,5,eval] board([4,1,3,5]). given clause #1129: (wt=12) 1205 [hyper,1202,1,3,eval] board([2,4,1,3,5]). given clause #1130: (wt=14) 1206 [hyper,1205,1,9,eval] board([8,2,4,1,3,5]). given clause #1131: (wt=16) 1207 [hyper,1206,1,7,eval] board([6,8,2,4,1,3,5]). given clause #1132: (wt=12) 1204 [hyper,1202,1,8,eval] board([7,4,1,3,5]). given clause #1133: (wt=12) 1203 [hyper,1202,1,9,eval] board([8,4,1,3,5]). given clause #1134: (wt=10) 1201 [hyper,1199,1,7,eval] board([6,1,3,5]). given clause #1135: (wt=12) 1210 [hyper,1201,1,3,eval] board([2,6,1,3,5]). given clause #1136: (wt=12) 1209 [hyper,1201,1,5,eval] board([4,6,1,3,5]). given clause #1137: (wt=14) 1211 [hyper,1209,1,3,eval] board([2,4,6,1,3,5]). given clause #1138: (wt=16) 1212 [hyper,1211,1,8,eval] board([7,2,4,6,1,3,5]). given clause #1139: (wt=12) 1208 [hyper,1201,1,9,eval] board([8,6,1,3,5]). given clause #1140: (wt=14) 1213 [hyper,1208,1,3,eval] board([2,8,6,1,3,5]). given clause #1141: (wt=16) 1215 [hyper,1213,1,5,eval] board([4,2,8,6,1,3,5]). -------- PROOF -------- 1217 [binary,1216.1,11.1] $Ans([7,4,2,8,6,1,3,5]). ----> UNIT CONFLICT at 0.43 sec ----> 1217 [binary,1216.1,11.1] $Ans([7,4,2,8,6,1,3,5]). Length of proof is 8. Level of proof is 8. ---------------- PROOF ---------------- 1 [] -board(B)| -pick(New_col)| -$TRUE(ok(B,1,New_col))|board([New_col|B]). 2 [] pick(1). 3 [] pick(2). 4 [] pick(3). 5 [] pick(4). 6 [] pick(5). 7 [] pick(6). 8 [] pick(7). 9 [] pick(8). 10 [] board([]). 11 [] -board([X1,X2,X3,X4,X5,X6,X7,X8])|$Ans([X1,X2,X3,X4,X5,X6,X7,X8]). 17 [hyper,10,1,6,eval] board([5]). 1094 [hyper,17,1,4,eval] board([3,5]). 1199 [hyper,1094,1,2,eval] board([1,3,5]). 1201 [hyper,1199,1,7,eval] board([6,1,3,5]). 1208 [hyper,1201,1,9,eval] board([8,6,1,3,5]). 1213 [hyper,1208,1,3,eval] board([2,8,6,1,3,5]). 1215 [hyper,1213,1,5,eval] board([4,2,8,6,1,3,5]). 1216 [hyper,1215,1,8,eval] board([7,4,2,8,6,1,3,5]). 1217 [binary,1216.1,11.1] $Ans([7,4,2,8,6,1,3,5]). ------------ end of proof ------------- given clause #1142: (wt=18) 1216 [hyper,1215,1,8,eval] board([7,4,2,8,6,1,3,5]). given clause #1143: (wt=16) 1214 [hyper,1213,1,8,eval] board([7,2,8,6,1,3,5]). given clause #1144: (wt=10) 1200 [hyper,1199,1,8,eval] board([7,1,3,5]). given clause #1145: (wt=12) 1219 [hyper,1200,1,3,eval] board([2,7,1,3,5]). given clause #1146: (wt=14) 1221 [hyper,1219,1,7,eval] board([6,2,7,1,3,5]). given clause #1147: (wt=14) 1220 [hyper,1219,1,9,eval] board([8,2,7,1,3,5]). given clause #1148: (wt=16) 1222 [hyper,1220,1,7,eval] board([6,8,2,7,1,3,5]). -------- PROOF -------- 1224 [binary,1223.1,11.1] $Ans([4,6,8,2,7,1,3,5]). ----> UNIT CONFLICT at 0.44 sec ----> 1224 [binary,1223.1,11.1] $Ans([4,6,8,2,7,1,3,5]). Length of proof is 8. Level of proof is 8. ---------------- PROOF ---------------- 1 [] -board(B)| -pick(New_col)| -$TRUE(ok(B,1,New_col))|board([New_col|B]). 2 [] pick(1). 3 [] pick(2). 4 [] pick(3). 5 [] pick(4). 6 [] pick(5). 7 [] pick(6). 8 [] pick(7). 9 [] pick(8). 10 [] board([]). 11 [] -board([X1,X2,X3,X4,X5,X6,X7,X8])|$Ans([X1,X2,X3,X4,X5,X6,X7,X8]). 17 [hyper,10,1,6,eval] board([5]). 1094 [hyper,17,1,4,eval] board([3,5]). 1199 [hyper,1094,1,2,eval] board([1,3,5]). 1200 [hyper,1199,1,8,eval] board([7,1,3,5]). 1219 [hyper,1200,1,3,eval] board([2,7,1,3,5]). 1220 [hyper,1219,1,9,eval] board([8,2,7,1,3,5]). 1222 [hyper,1220,1,7,eval] board([6,8,2,7,1,3,5]). 1223 [hyper,1222,1,5,eval] board([4,6,8,2,7,1,3,5]). 1224 [binary,1223.1,11.1] $Ans([4,6,8,2,7,1,3,5]). ------------ end of proof ------------- given clause #1149: (wt=18) 1223 [hyper,1222,1,5,eval] board([4,6,8,2,7,1,3,5]). given clause #1150: (wt=12) 1218 [hyper,1200,1,5,eval] board([4,7,1,3,5]). given clause #1151: (wt=14) 1227 [hyper,1218,1,3,eval] board([2,4,7,1,3,5]). given clause #1152: (wt=14) 1226 [hyper,1218,1,7,eval] board([6,4,7,1,3,5]). given clause #1153: (wt=14) 1225 [hyper,1218,1,9,eval] board([8,4,7,1,3,5]). given clause #1154: (wt=8) 1198 [hyper,1094,1,7,eval] board([6,3,5]). given clause #1155: (wt=10) 1228 [hyper,1198,1,5,eval] board([4,6,3,5]). given clause #1156: (wt=12) 1230 [hyper,1228,1,3,eval] board([2,4,6,3,5]). given clause #1157: (wt=14) 1231 [hyper,1230,1,9,eval] board([8,2,4,6,3,5]). given clause #1158: (wt=12) 1229 [hyper,1228,1,8,eval] board([7,4,6,3,5]). given clause #1159: (wt=14) 1232 [hyper,1229,1,2,eval] board([1,7,4,6,3,5]). given clause #1160: (wt=8) 1197 [hyper,1094,1,9,eval] board([8,3,5]). given clause #1161: (wt=10) 1234 [hyper,1197,1,5,eval] board([4,8,3,5]). given clause #1162: (wt=12) 1236 [hyper,1234,1,3,eval] board([2,4,8,3,5]). given clause #1163: (wt=12) 1235 [hyper,1234,1,8,eval] board([7,4,8,3,5]). given clause #1164: (wt=14) 1237 [hyper,1235,1,2,eval] board([1,7,4,8,3,5]). given clause #1165: (wt=16) 1238 [hyper,1237,1,7,eval] board([6,1,7,4,8,3,5]). -------- PROOF -------- 1240 [binary,1239.1,11.1] $Ans([2,6,1,7,4,8,3,5]). ----> UNIT CONFLICT at 0.45 sec ----> 1240 [binary,1239.1,11.1] $Ans([2,6,1,7,4,8,3,5]). Length of proof is 8. Level of proof is 8. ---------------- PROOF ---------------- 1 [] -board(B)| -pick(New_col)| -$TRUE(ok(B,1,New_col))|board([New_col|B]). 2 [] pick(1). 3 [] pick(2). 4 [] pick(3). 5 [] pick(4). 6 [] pick(5). 7 [] pick(6). 8 [] pick(7). 9 [] pick(8). 10 [] board([]). 11 [] -board([X1,X2,X3,X4,X5,X6,X7,X8])|$Ans([X1,X2,X3,X4,X5,X6,X7,X8]). 17 [hyper,10,1,6,eval] board([5]). 1094 [hyper,17,1,4,eval] board([3,5]). 1197 [hyper,1094,1,9,eval] board([8,3,5]). 1234 [hyper,1197,1,5,eval] board([4,8,3,5]). 1235 [hyper,1234,1,8,eval] board([7,4,8,3,5]). 1237 [hyper,1235,1,2,eval] board([1,7,4,8,3,5]). 1238 [hyper,1237,1,7,eval] board([6,1,7,4,8,3,5]). 1239 [hyper,1238,1,3,eval] board([2,6,1,7,4,8,3,5]). 1240 [binary,1239.1,11.1] $Ans([2,6,1,7,4,8,3,5]). ------------ end of proof ------------- given clause #1166: (wt=18) 1239 [hyper,1238,1,3,eval] board([2,6,1,7,4,8,3,5]). given clause #1167: (wt=10) 1233 [hyper,1197,1,7,eval] board([6,8,3,5]). given clause #1168: (wt=12) 1242 [hyper,1233,1,3,eval] board([2,6,8,3,5]). given clause #1169: (wt=12) 1241 [hyper,1233,1,5,eval] board([4,6,8,3,5]). given clause #1170: (wt=14) 1244 [hyper,1241,1,2,eval] board([1,4,6,8,3,5]). given clause #1171: (wt=16) 1245 [hyper,1244,1,8,eval] board([7,1,4,6,8,3,5]). given clause #1172: (wt=14) 1243 [hyper,1241,1,3,eval] board([2,4,6,8,3,5]). given clause #1173: (wt=16) 1246 [hyper,1243,1,8,eval] board([7,2,4,6,8,3,5]). given clause #1174: (wt=6) 1093 [hyper,17,1,8,eval] board([7,5]). given clause #1175: (wt=8) 1249 [hyper,1093,1,2,eval] board([1,7,5]). given clause #1176: (wt=10) 1252 [hyper,1249,1,4,eval] board([3,1,7,5]). given clause #1177: (wt=12) 1254 [hyper,1252,1,7,eval] board([6,3,1,7,5]). given clause #1178: (wt=14) 1256 [hyper,1254,1,3,eval] board([2,6,3,1,7,5]). given clause #1179: (wt=14) 1255 [hyper,1254,1,9,eval] board([8,6,3,1,7,5]). given clause #1180: (wt=12) 1253 [hyper,1252,1,9,eval] board([8,3,1,7,5]). given clause #1181: (wt=14) 1258 [hyper,1253,1,3,eval] board([2,8,3,1,7,5]). given clause #1182: (wt=16) 1259 [hyper,1258,1,5,eval] board([4,2,8,3,1,7,5]). given clause #1183: (wt=14) 1257 [hyper,1253,1,7,eval] board([6,8,3,1,7,5]). given clause #1184: (wt=16) 1260 [hyper,1257,1,5,eval] board([4,6,8,3,1,7,5]). -------- PROOF -------- 1262 [binary,1261.1,11.1] $Ans([2,4,6,8,3,1,7,5]). ----> UNIT CONFLICT at 0.45 sec ----> 1262 [binary,1261.1,11.1] $Ans([2,4,6,8,3,1,7,5]). Length of proof is 8. Level of proof is 8. ---------------- PROOF ---------------- 1 [] -board(B)| -pick(New_col)| -$TRUE(ok(B,1,New_col))|board([New_col|B]). 2 [] pick(1). 3 [] pick(2). 4 [] pick(3). 5 [] pick(4). 6 [] pick(5). 7 [] pick(6). 8 [] pick(7). 9 [] pick(8). 10 [] board([]). 11 [] -board([X1,X2,X3,X4,X5,X6,X7,X8])|$Ans([X1,X2,X3,X4,X5,X6,X7,X8]). 17 [hyper,10,1,6,eval] board([5]). 1093 [hyper,17,1,8,eval] board([7,5]). 1249 [hyper,1093,1,2,eval] board([1,7,5]). 1252 [hyper,1249,1,4,eval] board([3,1,7,5]). 1253 [hyper,1252,1,9,eval] board([8,3,1,7,5]). 1257 [hyper,1253,1,7,eval] board([6,8,3,1,7,5]). 1260 [hyper,1257,1,5,eval] board([4,6,8,3,1,7,5]). 1261 [hyper,1260,1,3,eval] board([2,4,6,8,3,1,7,5]). 1262 [binary,1261.1,11.1] $Ans([2,4,6,8,3,1,7,5]). ------------ end of proof ------------- given clause #1185: (wt=18) 1261 [hyper,1260,1,3,eval] board([2,4,6,8,3,1,7,5]). given clause #1186: (wt=10) 1251 [hyper,1249,1,5,eval] board([4,1,7,5]). given clause #1187: (wt=12) 1265 [hyper,1251,1,3,eval] board([2,4,1,7,5]). given clause #1188: (wt=14) 1266 [hyper,1265,1,9,eval] board([8,2,4,1,7,5]). given clause #1189: (wt=16) 1268 [hyper,1266,1,4,eval] board([3,8,2,4,1,7,5]). given clause #1190: (wt=16) 1267 [hyper,1266,1,7,eval] board([6,8,2,4,1,7,5]). -------- PROOF -------- 1270 [binary,1269.1,11.1] $Ans([3,6,8,2,4,1,7,5]). ----> UNIT CONFLICT at 0.46 sec ----> 1270 [binary,1269.1,11.1] $Ans([3,6,8,2,4,1,7,5]). Length of proof is 8. Level of proof is 8. ---------------- PROOF ---------------- 1 [] -board(B)| -pick(New_col)| -$TRUE(ok(B,1,New_col))|board([New_col|B]). 2 [] pick(1). 3 [] pick(2). 4 [] pick(3). 5 [] pick(4). 6 [] pick(5). 7 [] pick(6). 8 [] pick(7). 9 [] pick(8). 10 [] board([]). 11 [] -board([X1,X2,X3,X4,X5,X6,X7,X8])|$Ans([X1,X2,X3,X4,X5,X6,X7,X8]). 17 [hyper,10,1,6,eval] board([5]). 1093 [hyper,17,1,8,eval] board([7,5]). 1249 [hyper,1093,1,2,eval] board([1,7,5]). 1251 [hyper,1249,1,5,eval] board([4,1,7,5]). 1265 [hyper,1251,1,3,eval] board([2,4,1,7,5]). 1266 [hyper,1265,1,9,eval] board([8,2,4,1,7,5]). 1267 [hyper,1266,1,7,eval] board([6,8,2,4,1,7,5]). 1269 [hyper,1267,1,4,eval] board([3,6,8,2,4,1,7,5]). 1270 [binary,1269.1,11.1] $Ans([3,6,8,2,4,1,7,5]). ------------ end of proof ------------- given clause #1191: (wt=18) 1269 [hyper,1267,1,4,eval] board([3,6,8,2,4,1,7,5]). given clause #1192: (wt=12) 1264 [hyper,1251,1,7,eval] board([6,4,1,7,5]). given clause #1193: (wt=14) 1271 [hyper,1264,1,9,eval] board([8,6,4,1,7,5]). given clause #1194: (wt=16) 1272 [hyper,1271,1,4,eval] board([3,8,6,4,1,7,5]). given clause #1195: (wt=12) 1263 [hyper,1251,1,9,eval] board([8,4,1,7,5]). given clause #1196: (wt=10) 1250 [hyper,1249,1,7,eval] board([6,1,7,5]). given clause #1197: (wt=12) 1274 [hyper,1250,1,3,eval] board([2,6,1,7,5]). given clause #1198: (wt=12) 1273 [hyper,1250,1,9,eval] board([8,6,1,7,5]). given clause #1199: (wt=14) 1275 [hyper,1273,1,3,eval] board([2,8,6,1,7,5]). given clause #1200: (wt=16) 1276 [hyper,1275,1,5,eval] board([4,2,8,6,1,7,5]). given clause #1201: (wt=8) 1248 [hyper,1093,1,3,eval] board([2,7,5]). given clause #1202: (wt=10) 1278 [hyper,1248,1,5,eval] board([4,2,7,5]). given clause #1203: (wt=12) 1280 [hyper,1278,1,7,eval] board([6,4,2,7,5]). given clause #1204: (wt=14) 1282 [hyper,1280,1,2,eval] board([1,6,4,2,7,5]). given clause #1205: (wt=16) 1283 [hyper,1282,1,4,eval] board([3,1,6,4,2,7,5]). given clause #1206: (wt=14) 1281 [hyper,1280,1,9,eval] board([8,6,4,2,7,5]). given clause #1207: (wt=16) 1284 [hyper,1281,1,4,eval] board([3,8,6,4,2,7,5]). given clause #1208: (wt=12) 1279 [hyper,1278,1,9,eval] board([8,4,2,7,5]). given clause #1209: (wt=14) 1285 [hyper,1279,1,2,eval] board([1,8,4,2,7,5]). given clause #1210: (wt=16) 1286 [hyper,1285,1,4,eval] board([3,1,8,4,2,7,5]). -------- PROOF -------- 1288 [binary,1287.1,11.1] $Ans([6,3,1,8,4,2,7,5]). ----> UNIT CONFLICT at 0.46 sec ----> 1288 [binary,1287.1,11.1] $Ans([6,3,1,8,4,2,7,5]). Length of proof is 8. Level of proof is 8. ---------------- PROOF ---------------- 1 [] -board(B)| -pick(New_col)| -$TRUE(ok(B,1,New_col))|board([New_col|B]). 2 [] pick(1). 3 [] pick(2). 4 [] pick(3). 5 [] pick(4). 6 [] pick(5). 7 [] pick(6). 8 [] pick(7). 9 [] pick(8). 10 [] board([]). 11 [] -board([X1,X2,X3,X4,X5,X6,X7,X8])|$Ans([X1,X2,X3,X4,X5,X6,X7,X8]). 17 [hyper,10,1,6,eval] board([5]). 1093 [hyper,17,1,8,eval] board([7,5]). 1248 [hyper,1093,1,3,eval] board([2,7,5]). 1278 [hyper,1248,1,5,eval] board([4,2,7,5]). 1279 [hyper,1278,1,9,eval] board([8,4,2,7,5]). 1285 [hyper,1279,1,2,eval] board([1,8,4,2,7,5]). 1286 [hyper,1285,1,4,eval] board([3,1,8,4,2,7,5]). 1287 [hyper,1286,1,7,eval] board([6,3,1,8,4,2,7,5]). 1288 [binary,1287.1,11.1] $Ans([6,3,1,8,4,2,7,5]). ------------ end of proof ------------- given clause #1211: (wt=18) 1287 [hyper,1286,1,7,eval] board([6,3,1,8,4,2,7,5]). given clause #1212: (wt=10) 1277 [hyper,1248,1,7,eval] board([6,2,7,5]). given clause #1213: (wt=12) 1290 [hyper,1277,1,4,eval] board([3,6,2,7,5]). given clause #1214: (wt=14) 1291 [hyper,1290,1,2,eval] board([1,3,6,2,7,5]). given clause #1215: (wt=16) 1293 [hyper,1291,1,5,eval] board([4,1,3,6,2,7,5]). -------- PROOF -------- 1295 [binary,1294.1,11.1] $Ans([8,4,1,3,6,2,7,5]). ----> UNIT CONFLICT at 0.47 sec ----> 1295 [binary,1294.1,11.1] $Ans([8,4,1,3,6,2,7,5]). Length of proof is 8. Level of proof is 8. ---------------- PROOF ---------------- 1 [] -board(B)| -pick(New_col)| -$TRUE(ok(B,1,New_col))|board([New_col|B]). 2 [] pick(1). 3 [] pick(2). 4 [] pick(3). 5 [] pick(4). 6 [] pick(5). 7 [] pick(6). 8 [] pick(7). 9 [] pick(8). 10 [] board([]). 11 [] -board([X1,X2,X3,X4,X5,X6,X7,X8])|$Ans([X1,X2,X3,X4,X5,X6,X7,X8]). 17 [hyper,10,1,6,eval] board([5]). 1093 [hyper,17,1,8,eval] board([7,5]). 1248 [hyper,1093,1,3,eval] board([2,7,5]). 1277 [hyper,1248,1,7,eval] board([6,2,7,5]). 1290 [hyper,1277,1,4,eval] board([3,6,2,7,5]). 1291 [hyper,1290,1,2,eval] board([1,3,6,2,7,5]). 1293 [hyper,1291,1,5,eval] board([4,1,3,6,2,7,5]). 1294 [hyper,1293,1,9,eval] board([8,4,1,3,6,2,7,5]). 1295 [binary,1294.1,11.1] $Ans([8,4,1,3,6,2,7,5]). ------------ end of proof ------------- given clause #1216: (wt=18) 1294 [hyper,1293,1,9,eval] board([8,4,1,3,6,2,7,5]). given clause #1217: (wt=16) 1292 [hyper,1291,1,9,eval] board([8,1,3,6,2,7,5]). -------- PROOF -------- 1297 [binary,1296.1,11.1] $Ans([4,8,1,3,6,2,7,5]). ----> UNIT CONFLICT at 0.47 sec ----> 1297 [binary,1296.1,11.1] $Ans([4,8,1,3,6,2,7,5]). Length of proof is 8. Level of proof is 8. ---------------- PROOF ---------------- 1 [] -board(B)| -pick(New_col)| -$TRUE(ok(B,1,New_col))|board([New_col|B]). 2 [] pick(1). 3 [] pick(2). 4 [] pick(3). 5 [] pick(4). 6 [] pick(5). 7 [] pick(6). 8 [] pick(7). 9 [] pick(8). 10 [] board([]). 11 [] -board([X1,X2,X3,X4,X5,X6,X7,X8])|$Ans([X1,X2,X3,X4,X5,X6,X7,X8]). 17 [hyper,10,1,6,eval] board([5]). 1093 [hyper,17,1,8,eval] board([7,5]). 1248 [hyper,1093,1,3,eval] board([2,7,5]). 1277 [hyper,1248,1,7,eval] board([6,2,7,5]). 1290 [hyper,1277,1,4,eval] board([3,6,2,7,5]). 1291 [hyper,1290,1,2,eval] board([1,3,6,2,7,5]). 1292 [hyper,1291,1,9,eval] board([8,1,3,6,2,7,5]). 1296 [hyper,1292,1,5,eval] board([4,8,1,3,6,2,7,5]). 1297 [binary,1296.1,11.1] $Ans([4,8,1,3,6,2,7,5]). ------------ end of proof ------------- given clause #1218: (wt=18) 1296 [hyper,1292,1,5,eval] board([4,8,1,3,6,2,7,5]). given clause #1219: (wt=12) 1289 [hyper,1277,1,9,eval] board([8,6,2,7,5]). given clause #1220: (wt=14) 1298 [hyper,1289,1,2,eval] board([1,8,6,2,7,5]). given clause #1221: (wt=16) 1299 [hyper,1298,1,5,eval] board([4,1,8,6,2,7,5]). given clause #1222: (wt=8) 1247 [hyper,1093,1,5,eval] board([4,7,5]). given clause #1223: (wt=10) 1301 [hyper,1247,1,2,eval] board([1,4,7,5]). given clause #1224: (wt=12) 1303 [hyper,1301,1,4,eval] board([3,1,4,7,5]). given clause #1225: (wt=14) 1305 [hyper,1303,1,7,eval] board([6,3,1,4,7,5]). given clause #1226: (wt=14) 1304 [hyper,1303,1,9,eval] board([8,3,1,4,7,5]). given clause #1227: (wt=16) 1306 [hyper,1304,1,7,eval] board([6,8,3,1,4,7,5]). -------- PROOF -------- 1308 [binary,1307.1,11.1] $Ans([2,6,8,3,1,4,7,5]). ----> UNIT CONFLICT at 0.47 sec ----> 1308 [binary,1307.1,11.1] $Ans([2,6,8,3,1,4,7,5]). Length of proof is 8. Level of proof is 8. ---------------- PROOF ---------------- 1 [] -board(B)| -pick(New_col)| -$TRUE(ok(B,1,New_col))|board([New_col|B]). 2 [] pick(1). 3 [] pick(2). 4 [] pick(3). 5 [] pick(4). 6 [] pick(5). 7 [] pick(6). 8 [] pick(7). 9 [] pick(8). 10 [] board([]). 11 [] -board([X1,X2,X3,X4,X5,X6,X7,X8])|$Ans([X1,X2,X3,X4,X5,X6,X7,X8]). 17 [hyper,10,1,6,eval] board([5]). 1093 [hyper,17,1,8,eval] board([7,5]). 1247 [hyper,1093,1,5,eval] board([4,7,5]). 1301 [hyper,1247,1,2,eval] board([1,4,7,5]). 1303 [hyper,1301,1,4,eval] board([3,1,4,7,5]). 1304 [hyper,1303,1,9,eval] board([8,3,1,4,7,5]). 1306 [hyper,1304,1,7,eval] board([6,8,3,1,4,7,5]). 1307 [hyper,1306,1,3,eval] board([2,6,8,3,1,4,7,5]). 1308 [binary,1307.1,11.1] $Ans([2,6,8,3,1,4,7,5]). ------------ end of proof ------------- given clause #1228: (wt=18) 1307 [hyper,1306,1,3,eval] board([2,6,8,3,1,4,7,5]). given clause #1229: (wt=12) 1302 [hyper,1301,1,9,eval] board([8,1,4,7,5]). given clause #1230: (wt=14) 1310 [hyper,1302,1,3,eval] board([2,8,1,4,7,5]). given clause #1231: (wt=14) 1309 [hyper,1302,1,7,eval] board([6,8,1,4,7,5]). given clause #1232: (wt=16) 1311 [hyper,1309,1,4,eval] board([3,6,8,1,4,7,5]). given clause #1233: (wt=10) 1300 [hyper,1247,1,7,eval] board([6,4,7,5]). given clause #1234: (wt=12) 1313 [hyper,1300,1,4,eval] board([3,6,4,7,5]). given clause #1235: (wt=12) 1312 [hyper,1300,1,9,eval] board([8,6,4,7,5]). given clause #1236: (wt=14) 1314 [hyper,1312,1,3,eval] board([2,8,6,4,7,5]). given clause #1237: (wt=6) 1092 [hyper,17,1,9,eval] board([8,5]). given clause #1238: (wt=8) 1318 [hyper,1092,1,2,eval] board([1,8,5]). given clause #1239: (wt=10) 1321 [hyper,1318,1,4,eval] board([3,1,8,5]). given clause #1240: (wt=12) 1323 [hyper,1321,1,7,eval] board([6,3,1,8,5]). given clause #1241: (wt=14) 1324 [hyper,1323,1,3,eval] board([2,6,3,1,8,5]). given clause #1242: (wt=16) 1325 [hyper,1324,1,8,eval] board([7,2,6,3,1,8,5]). given clause #1243: (wt=12) 1322 [hyper,1321,1,8,eval] board([7,3,1,8,5]). given clause #1244: (wt=14) 1326 [hyper,1322,1,3,eval] board([2,7,3,1,8,5]). given clause #1245: (wt=16) 1327 [hyper,1326,1,5,eval] board([4,2,7,3,1,8,5]). given clause #1246: (wt=10) 1320 [hyper,1318,1,5,eval] board([4,1,8,5]). given clause #1247: (wt=12) 1330 [hyper,1320,1,3,eval] board([2,4,1,8,5]). given clause #1248: (wt=14) 1331 [hyper,1330,1,8,eval] board([7,2,4,1,8,5]). given clause #1249: (wt=12) 1329 [hyper,1320,1,7,eval] board([6,4,1,8,5]). given clause #1250: (wt=14) 1332 [hyper,1329,1,4,eval] board([3,6,4,1,8,5]). given clause #1251: (wt=12) 1328 [hyper,1320,1,8,eval] board([7,4,1,8,5]). given clause #1252: (wt=14) 1333 [hyper,1328,1,4,eval] board([3,7,4,1,8,5]). given clause #1253: (wt=16) 1334 [hyper,1333,1,7,eval] board([6,3,7,4,1,8,5]). given clause #1254: (wt=10) 1319 [hyper,1318,1,8,eval] board([7,1,8,5]). given clause #1255: (wt=12) 1336 [hyper,1319,1,3,eval] board([2,7,1,8,5]). given clause #1256: (wt=14) 1337 [hyper,1336,1,7,eval] board([6,2,7,1,8,5]). given clause #1257: (wt=12) 1335 [hyper,1319,1,5,eval] board([4,7,1,8,5]). given clause #1258: (wt=14) 1339 [hyper,1335,1,3,eval] board([2,4,7,1,8,5]). given clause #1259: (wt=14) 1338 [hyper,1335,1,7,eval] board([6,4,7,1,8,5]). given clause #1260: (wt=8) 1317 [hyper,1092,1,3,eval] board([2,8,5]). given clause #1261: (wt=10) 1341 [hyper,1317,1,5,eval] board([4,2,8,5]). given clause #1262: (wt=12) 1343 [hyper,1341,1,7,eval] board([6,4,2,8,5]). given clause #1263: (wt=14) 1345 [hyper,1343,1,2,eval] board([1,6,4,2,8,5]). given clause #1264: (wt=14) 1344 [hyper,1343,1,4,eval] board([3,6,4,2,8,5]). given clause #1265: (wt=12) 1342 [hyper,1341,1,8,eval] board([7,4,2,8,5]). given clause #1266: (wt=14) 1347 [hyper,1342,1,2,eval] board([1,7,4,2,8,5]). given clause #1267: (wt=14) 1346 [hyper,1342,1,4,eval] board([3,7,4,2,8,5]). given clause #1268: (wt=10) 1340 [hyper,1317,1,8,eval] board([7,2,8,5]). given clause #1269: (wt=12) 1348 [hyper,1340,1,4,eval] board([3,7,2,8,5]). given clause #1270: (wt=14) 1350 [hyper,1348,1,2,eval] board([1,3,7,2,8,5]). given clause #1271: (wt=14) 1349 [hyper,1348,1,7,eval] board([6,3,7,2,8,5]). given clause #1272: (wt=8) 1316 [hyper,1092,1,5,eval] board([4,8,5]). given clause #1273: (wt=10) 1352 [hyper,1316,1,2,eval] board([1,4,8,5]). given clause #1274: (wt=12) 1354 [hyper,1352,1,4,eval] board([3,1,4,8,5]). given clause #1275: (wt=14) 1355 [hyper,1354,1,7,eval] board([6,3,1,4,8,5]). given clause #1276: (wt=16) 1356 [hyper,1355,1,3,eval] board([2,6,3,1,4,8,5]). -------- PROOF -------- 1358 [binary,1357.1,11.1] $Ans([7,2,6,3,1,4,8,5]). ----> UNIT CONFLICT at 0.49 sec ----> 1358 [binary,1357.1,11.1] $Ans([7,2,6,3,1,4,8,5]). Length of proof is 8. Level of proof is 8. ---------------- PROOF ---------------- 1 [] -board(B)| -pick(New_col)| -$TRUE(ok(B,1,New_col))|board([New_col|B]). 2 [] pick(1). 3 [] pick(2). 4 [] pick(3). 5 [] pick(4). 6 [] pick(5). 7 [] pick(6). 8 [] pick(7). 9 [] pick(8). 10 [] board([]). 11 [] -board([X1,X2,X3,X4,X5,X6,X7,X8])|$Ans([X1,X2,X3,X4,X5,X6,X7,X8]). 17 [hyper,10,1,6,eval] board([5]). 1092 [hyper,17,1,9,eval] board([8,5]). 1316 [hyper,1092,1,5,eval] board([4,8,5]). 1352 [hyper,1316,1,2,eval] board([1,4,8,5]). 1354 [hyper,1352,1,4,eval] board([3,1,4,8,5]). 1355 [hyper,1354,1,7,eval] board([6,3,1,4,8,5]). 1356 [hyper,1355,1,3,eval] board([2,6,3,1,4,8,5]). 1357 [hyper,1356,1,8,eval] board([7,2,6,3,1,4,8,5]). 1358 [binary,1357.1,11.1] $Ans([7,2,6,3,1,4,8,5]). ------------ end of proof ------------- given clause #1277: (wt=18) 1357 [hyper,1356,1,8,eval] board([7,2,6,3,1,4,8,5]). given clause #1278: (wt=12) 1353 [hyper,1352,1,8,eval] board([7,1,4,8,5]). given clause #1279: (wt=14) 1359 [hyper,1353,1,3,eval] board([2,7,1,4,8,5]). given clause #1280: (wt=16) 1360 [hyper,1359,1,7,eval] board([6,2,7,1,4,8,5]). -------- PROOF -------- 1362 [binary,1361.1,11.1] $Ans([3,6,2,7,1,4,8,5]). ----> UNIT CONFLICT at 0.49 sec ----> 1362 [binary,1361.1,11.1] $Ans([3,6,2,7,1,4,8,5]). Length of proof is 8. Level of proof is 8. ---------------- PROOF ---------------- 1 [] -board(B)| -pick(New_col)| -$TRUE(ok(B,1,New_col))|board([New_col|B]). 2 [] pick(1). 3 [] pick(2). 4 [] pick(3). 5 [] pick(4). 6 [] pick(5). 7 [] pick(6). 8 [] pick(7). 9 [] pick(8). 10 [] board([]). 11 [] -board([X1,X2,X3,X4,X5,X6,X7,X8])|$Ans([X1,X2,X3,X4,X5,X6,X7,X8]). 17 [hyper,10,1,6,eval] board([5]). 1092 [hyper,17,1,9,eval] board([8,5]). 1316 [hyper,1092,1,5,eval] board([4,8,5]). 1352 [hyper,1316,1,2,eval] board([1,4,8,5]). 1353 [hyper,1352,1,8,eval] board([7,1,4,8,5]). 1359 [hyper,1353,1,3,eval] board([2,7,1,4,8,5]). 1360 [hyper,1359,1,7,eval] board([6,2,7,1,4,8,5]). 1361 [hyper,1360,1,4,eval] board([3,6,2,7,1,4,8,5]). 1362 [binary,1361.1,11.1] $Ans([3,6,2,7,1,4,8,5]). ------------ end of proof ------------- given clause #1281: (wt=18) 1361 [hyper,1360,1,4,eval] board([3,6,2,7,1,4,8,5]). given clause #1282: (wt=10) 1351 [hyper,1316,1,8,eval] board([7,4,8,5]). given clause #1283: (wt=12) 1363 [hyper,1351,1,4,eval] board([3,7,4,8,5]). given clause #1284: (wt=14) 1364 [hyper,1363,1,7,eval] board([6,3,7,4,8,5]). given clause #1285: (wt=16) 1365 [hyper,1364,1,3,eval] board([2,6,3,7,4,8,5]). given clause #1286: (wt=8) 1315 [hyper,1092,1,7,eval] board([6,8,5]). given clause #1287: (wt=10) 1368 [hyper,1315,1,2,eval] board([1,6,8,5]). given clause #1288: (wt=12) 1370 [hyper,1368,1,4,eval] board([3,1,6,8,5]). given clause #1289: (wt=14) 1371 [hyper,1370,1,8,eval] board([7,3,1,6,8,5]). given clause #1290: (wt=12) 1369 [hyper,1368,1,8,eval] board([7,1,6,8,5]). given clause #1291: (wt=14) 1372 [hyper,1369,1,3,eval] board([2,7,1,6,8,5]). given clause #1292: (wt=10) 1367 [hyper,1315,1,4,eval] board([3,6,8,5]). given clause #1293: (wt=12) 1373 [hyper,1367,1,8,eval] board([7,3,6,8,5]). given clause #1294: (wt=14) 1374 [hyper,1373,1,3,eval] board([2,7,3,6,8,5]). given clause #1295: (wt=16) 1375 [hyper,1374,1,5,eval] board([4,2,7,3,6,8,5]). given clause #1296: (wt=10) 1366 [hyper,1315,1,5,eval] board([4,6,8,5]). given clause #1297: (wt=12) 1377 [hyper,1366,1,3,eval] board([2,4,6,8,5]). given clause #1298: (wt=14) 1378 [hyper,1377,1,8,eval] board([7,2,4,6,8,5]). given clause #1299: (wt=12) 1376 [hyper,1366,1,8,eval] board([7,4,6,8,5]). given clause #1300: (wt=14) 1379 [hyper,1376,1,2,eval] board([1,7,4,6,8,5]). given clause #1301: (wt=4) 16 [hyper,10,1,7,eval] board([6]). given clause #1302: (wt=6) 1384 [hyper,16,1,2,eval] board([1,6]). given clause #1303: (wt=8) 1387 [hyper,1384,1,4,eval] board([3,1,6]). given clause #1304: (wt=10) 1390 [hyper,1387,1,6,eval] board([5,3,1,6]). given clause #1305: (wt=12) 1392 [hyper,1390,1,8,eval] board([7,5,3,1,6]). given clause #1306: (wt=14) 1394 [hyper,1392,1,3,eval] board([2,7,5,3,1,6]). given clause #1307: (wt=16) 1395 [hyper,1394,1,5,eval] board([4,2,7,5,3,1,6]). given clause #1308: (wt=14) 1393 [hyper,1392,1,5,eval] board([4,7,5,3,1,6]). given clause #1309: (wt=12) 1391 [hyper,1390,1,9,eval] board([8,5,3,1,6]). given clause #1310: (wt=14) 1397 [hyper,1391,1,3,eval] board([2,8,5,3,1,6]). given clause #1311: (wt=16) 1398 [hyper,1397,1,5,eval] board([4,2,8,5,3,1,6]). given clause #1312: (wt=14) 1396 [hyper,1391,1,5,eval] board([4,8,5,3,1,6]). given clause #1313: (wt=10) 1389 [hyper,1387,1,8,eval] board([7,3,1,6]). given clause #1314: (wt=10) 1388 [hyper,1387,1,9,eval] board([8,3,1,6]). given clause #1315: (wt=8) 1386 [hyper,1384,1,6,eval] board([5,1,6]). given clause #1316: (wt=10) 1401 [hyper,1386,1,3,eval] board([2,5,1,6]). given clause #1317: (wt=12) 1402 [hyper,1401,1,9,eval] board([8,2,5,1,6]). given clause #1318: (wt=14) 1403 [hyper,1402,1,4,eval] board([3,8,2,5,1,6]). given clause #1319: (wt=16) 1404 [hyper,1403,1,8,eval] board([7,3,8,2,5,1,6]). -------- PROOF -------- 1406 [binary,1405.1,11.1] $Ans([4,7,3,8,2,5,1,6]). ----> UNIT CONFLICT at 0.51 sec ----> 1406 [binary,1405.1,11.1] $Ans([4,7,3,8,2,5,1,6]). Length of proof is 8. Level of proof is 8. ---------------- PROOF ---------------- 1 [] -board(B)| -pick(New_col)| -$TRUE(ok(B,1,New_col))|board([New_col|B]). 2 [] pick(1). 3 [] pick(2). 4 [] pick(3). 5 [] pick(4). 6 [] pick(5). 7 [] pick(6). 8 [] pick(7). 9 [] pick(8). 10 [] board([]). 11 [] -board([X1,X2,X3,X4,X5,X6,X7,X8])|$Ans([X1,X2,X3,X4,X5,X6,X7,X8]). 16 [hyper,10,1,7,eval] board([6]). 1384 [hyper,16,1,2,eval] board([1,6]). 1386 [hyper,1384,1,6,eval] board([5,1,6]). 1401 [hyper,1386,1,3,eval] board([2,5,1,6]). 1402 [hyper,1401,1,9,eval] board([8,2,5,1,6]). 1403 [hyper,1402,1,4,eval] board([3,8,2,5,1,6]). 1404 [hyper,1403,1,8,eval] board([7,3,8,2,5,1,6]). 1405 [hyper,1404,1,5,eval] board([4,7,3,8,2,5,1,6]). 1406 [binary,1405.1,11.1] $Ans([4,7,3,8,2,5,1,6]). ------------ end of proof ------------- given clause #1320: (wt=18) 1405 [hyper,1404,1,5,eval] board([4,7,3,8,2,5,1,6]). given clause #1321: (wt=10) 1400 [hyper,1386,1,8,eval] board([7,5,1,6]). given clause #1322: (wt=10) 1399 [hyper,1386,1,9,eval] board([8,5,1,6]). given clause #1323: (wt=8) 1385 [hyper,1384,1,8,eval] board([7,1,6]). given clause #1324: (wt=10) 1409 [hyper,1385,1,3,eval] board([2,7,1,6]). given clause #1325: (wt=12) 1410 [hyper,1409,1,9,eval] board([8,2,7,1,6]). given clause #1326: (wt=14) 1411 [hyper,1410,1,4,eval] board([3,8,2,7,1,6]). given clause #1327: (wt=10) 1408 [hyper,1385,1,5,eval] board([4,7,1,6]). given clause #1328: (wt=12) 1412 [hyper,1408,1,9,eval] board([8,4,7,1,6]). given clause #1329: (wt=14) 1413 [hyper,1412,1,4,eval] board([3,8,4,7,1,6]). given clause #1330: (wt=16) 1414 [hyper,1413,1,6,eval] board([5,3,8,4,7,1,6]). given clause #1331: (wt=10) 1407 [hyper,1385,1,6,eval] board([5,7,1,6]). given clause #1332: (wt=12) 1416 [hyper,1407,1,4,eval] board([3,5,7,1,6]). given clause #1333: (wt=14) 1417 [hyper,1416,1,9,eval] board([8,3,5,7,1,6]). given clause #1334: (wt=16) 1418 [hyper,1417,1,5,eval] board([4,8,3,5,7,1,6]). given clause #1335: (wt=12) 1415 [hyper,1407,1,9,eval] board([8,5,7,1,6]). given clause #1336: (wt=14) 1419 [hyper,1415,1,3,eval] board([2,8,5,7,1,6]). given clause #1337: (wt=16) 1420 [hyper,1419,1,5,eval] board([4,2,8,5,7,1,6]). given clause #1338: (wt=6) 1383 [hyper,16,1,3,eval] board([2,6]). given clause #1339: (wt=8) 1422 [hyper,1383,1,6,eval] board([5,2,6]). given clause #1340: (wt=10) 1425 [hyper,1422,1,2,eval] board([1,5,2,6]). given clause #1341: (wt=12) 1427 [hyper,1425,1,5,eval] board([4,1,5,2,6]). given clause #1342: (wt=14) 1428 [hyper,1427,1,8,eval] board([7,4,1,5,2,6]). given clause #1343: (wt=16) 1429 [hyper,1428,1,4,eval] board([3,7,4,1,5,2,6]). given clause #1344: (wt=12) 1426 [hyper,1425,1,9,eval] board([8,1,5,2,6]). given clause #1345: (wt=14) 1430 [hyper,1426,1,5,eval] board([4,8,1,5,2,6]). given clause #1346: (wt=10) 1424 [hyper,1422,1,8,eval] board([7,5,2,6]). given clause #1347: (wt=12) 1432 [hyper,1424,1,2,eval] board([1,7,5,2,6]). given clause #1348: (wt=14) 1434 [hyper,1432,1,4,eval] board([3,1,7,5,2,6]). given clause #1349: (wt=16) 1435 [hyper,1434,1,9,eval] board([8,3,1,7,5,2,6]). given clause #1350: (wt=14) 1433 [hyper,1432,1,5,eval] board([4,1,7,5,2,6]). given clause #1351: (wt=16) 1436 [hyper,1433,1,9,eval] board([8,4,1,7,5,2,6]). given clause #1352: (wt=12) 1431 [hyper,1424,1,5,eval] board([4,7,5,2,6]). given clause #1353: (wt=10) 1423 [hyper,1422,1,9,eval] board([8,5,2,6]). given clause #1354: (wt=12) 1438 [hyper,1423,1,2,eval] board([1,8,5,2,6]). given clause #1355: (wt=14) 1441 [hyper,1438,1,4,eval] board([3,1,8,5,2,6]). given clause #1356: (wt=14) 1440 [hyper,1438,1,5,eval] board([4,1,8,5,2,6]). given clause #1357: (wt=14) 1439 [hyper,1438,1,8,eval] board([7,1,8,5,2,6]). given clause #1358: (wt=16) 1442 [hyper,1439,1,5,eval] board([4,7,1,8,5,2,6]). given clause #1359: (wt=12) 1437 [hyper,1423,1,5,eval] board([4,8,5,2,6]). given clause #1360: (wt=14) 1443 [hyper,1437,1,8,eval] board([7,4,8,5,2,6]). given clause #1361: (wt=16) 1444 [hyper,1443,1,4,eval] board([3,7,4,8,5,2,6]). given clause #1362: (wt=8) 1421 [hyper,1383,1,8,eval] board([7,2,6]). given clause #1363: (wt=10) 1446 [hyper,1421,1,2,eval] board([1,7,2,6]). given clause #1364: (wt=12) 1449 [hyper,1446,1,4,eval] board([3,1,7,2,6]). given clause #1365: (wt=14) 1451 [hyper,1449,1,6,eval] board([5,3,1,7,2,6]). given clause #1366: (wt=16) 1452 [hyper,1451,1,9,eval] board([8,5,3,1,7,2,6]). -------- PROOF -------- 1454 [binary,1453.1,11.1] $Ans([4,8,5,3,1,7,2,6]). ----> UNIT CONFLICT at 0.52 sec ----> 1454 [binary,1453.1,11.1] $Ans([4,8,5,3,1,7,2,6]). Length of proof is 8. Level of proof is 8. ---------------- PROOF ---------------- 1 [] -board(B)| -pick(New_col)| -$TRUE(ok(B,1,New_col))|board([New_col|B]). 2 [] pick(1). 3 [] pick(2). 4 [] pick(3). 5 [] pick(4). 6 [] pick(5). 7 [] pick(6). 8 [] pick(7). 9 [] pick(8). 10 [] board([]). 11 [] -board([X1,X2,X3,X4,X5,X6,X7,X8])|$Ans([X1,X2,X3,X4,X5,X6,X7,X8]). 16 [hyper,10,1,7,eval] board([6]). 1383 [hyper,16,1,3,eval] board([2,6]). 1421 [hyper,1383,1,8,eval] board([7,2,6]). 1446 [hyper,1421,1,2,eval] board([1,7,2,6]). 1449 [hyper,1446,1,4,eval] board([3,1,7,2,6]). 1451 [hyper,1449,1,6,eval] board([5,3,1,7,2,6]). 1452 [hyper,1451,1,9,eval] board([8,5,3,1,7,2,6]). 1453 [hyper,1452,1,5,eval] board([4,8,5,3,1,7,2,6]). 1454 [binary,1453.1,11.1] $Ans([4,8,5,3,1,7,2,6]). ------------ end of proof ------------- given clause #1367: (wt=18) 1453 [hyper,1452,1,5,eval] board([4,8,5,3,1,7,2,6]). given clause #1368: (wt=14) 1450 [hyper,1449,1,9,eval] board([8,3,1,7,2,6]). given clause #1369: (wt=12) 1448 [hyper,1446,1,5,eval] board([4,1,7,2,6]). given clause #1370: (wt=14) 1455 [hyper,1448,1,9,eval] board([8,4,1,7,2,6]). given clause #1371: (wt=16) 1456 [hyper,1455,1,6,eval] board([5,8,4,1,7,2,6]). -------- PROOF -------- 1458 [binary,1457.1,11.1] $Ans([3,5,8,4,1,7,2,6]). ----> UNIT CONFLICT at 0.53 sec ----> 1458 [binary,1457.1,11.1] $Ans([3,5,8,4,1,7,2,6]). Length of proof is 8. Level of proof is 8. ---------------- PROOF ---------------- 1 [] -board(B)| -pick(New_col)| -$TRUE(ok(B,1,New_col))|board([New_col|B]). 2 [] pick(1). 3 [] pick(2). 4 [] pick(3). 5 [] pick(4). 6 [] pick(5). 7 [] pick(6). 8 [] pick(7). 9 [] pick(8). 10 [] board([]). 11 [] -board([X1,X2,X3,X4,X5,X6,X7,X8])|$Ans([X1,X2,X3,X4,X5,X6,X7,X8]). 16 [hyper,10,1,7,eval] board([6]). 1383 [hyper,16,1,3,eval] board([2,6]). 1421 [hyper,1383,1,8,eval] board([7,2,6]). 1446 [hyper,1421,1,2,eval] board([1,7,2,6]). 1448 [hyper,1446,1,5,eval] board([4,1,7,2,6]). 1455 [hyper,1448,1,9,eval] board([8,4,1,7,2,6]). 1456 [hyper,1455,1,6,eval] board([5,8,4,1,7,2,6]). 1457 [hyper,1456,1,4,eval] board([3,5,8,4,1,7,2,6]). 1458 [binary,1457.1,11.1] $Ans([3,5,8,4,1,7,2,6]). ------------ end of proof ------------- given clause #1372: (wt=18) 1457 [hyper,1456,1,4,eval] board([3,5,8,4,1,7,2,6]). given clause #1373: (wt=12) 1447 [hyper,1446,1,9,eval] board([8,1,7,2,6]). given clause #1374: (wt=14) 1459 [hyper,1447,1,6,eval] board([5,8,1,7,2,6]). given clause #1375: (wt=10) 1445 [hyper,1421,1,6,eval] board([5,7,2,6]). given clause #1376: (wt=12) 1462 [hyper,1445,1,2,eval] board([1,5,7,2,6]). given clause #1377: (wt=14) 1463 [hyper,1462,1,9,eval] board([8,1,5,7,2,6]). given clause #1378: (wt=16) 1464 [hyper,1463,1,5,eval] board([4,8,1,5,7,2,6]). given clause #1379: (wt=12) 1461 [hyper,1445,1,4,eval] board([3,5,7,2,6]). given clause #1380: (wt=14) 1465 [hyper,1461,1,9,eval] board([8,3,5,7,2,6]). given clause #1381: (wt=16) 1466 [hyper,1465,1,5,eval] board([4,8,3,5,7,2,6]). given clause #1382: (wt=12) 1460 [hyper,1445,1,9,eval] board([8,5,7,2,6]). given clause #1383: (wt=6) 1382 [hyper,16,1,4,eval] board([3,6]). given clause #1384: (wt=8) 1469 [hyper,1382,1,2,eval] board([1,3,6]). given clause #1385: (wt=10) 1472 [hyper,1469,1,5,eval] board([4,1,3,6]). given clause #1386: (wt=12) 1474 [hyper,1472,1,8,eval] board([7,4,1,3,6]). given clause #1387: (wt=14) 1475 [hyper,1474,1,6,eval] board([5,7,4,1,3,6]). given clause #1388: (wt=16) 1476 [hyper,1475,1,3,eval] board([2,5,7,4,1,3,6]). given clause #1389: (wt=12) 1473 [hyper,1472,1,9,eval] board([8,4,1,3,6]). given clause #1390: (wt=14) 1477 [hyper,1473,1,6,eval] board([5,8,4,1,3,6]). given clause #1391: (wt=16) 1478 [hyper,1477,1,3,eval] board([2,5,8,4,1,3,6]). given clause #1392: (wt=10) 1471 [hyper,1469,1,8,eval] board([7,1,3,6]). given clause #1393: (wt=12) 1480 [hyper,1471,1,5,eval] board([4,7,1,3,6]). given clause #1394: (wt=14) 1482 [hyper,1480,1,3,eval] board([2,4,7,1,3,6]). given clause #1395: (wt=14) 1481 [hyper,1480,1,9,eval] board([8,4,7,1,3,6]). given clause #1396: (wt=12) 1479 [hyper,1471,1,6,eval] board([5,7,1,3,6]). given clause #1397: (wt=14) 1484 [hyper,1479,1,3,eval] board([2,5,7,1,3,6]). given clause #1398: (wt=14) 1483 [hyper,1479,1,9,eval] board([8,5,7,1,3,6]). given clause #1399: (wt=16) 1485 [hyper,1483,1,3,eval] board([2,8,5,7,1,3,6]). -------- PROOF -------- 1487 [binary,1486.1,11.1] $Ans([4,2,8,5,7,1,3,6]). ----> UNIT CONFLICT at 0.54 sec ----> 1487 [binary,1486.1,11.1] $Ans([4,2,8,5,7,1,3,6]). Length of proof is 8. Level of proof is 8. ---------------- PROOF ---------------- 1 [] -board(B)| -pick(New_col)| -$TRUE(ok(B,1,New_col))|board([New_col|B]). 2 [] pick(1). 3 [] pick(2). 4 [] pick(3). 5 [] pick(4). 6 [] pick(5). 7 [] pick(6). 8 [] pick(7). 9 [] pick(8). 10 [] board([]). 11 [] -board([X1,X2,X3,X4,X5,X6,X7,X8])|$Ans([X1,X2,X3,X4,X5,X6,X7,X8]). 16 [hyper,10,1,7,eval] board([6]). 1382 [hyper,16,1,4,eval] board([3,6]). 1469 [hyper,1382,1,2,eval] board([1,3,6]). 1471 [hyper,1469,1,8,eval] board([7,1,3,6]). 1479 [hyper,1471,1,6,eval] board([5,7,1,3,6]). 1483 [hyper,1479,1,9,eval] board([8,5,7,1,3,6]). 1485 [hyper,1483,1,3,eval] board([2,8,5,7,1,3,6]). 1486 [hyper,1485,1,5,eval] board([4,2,8,5,7,1,3,6]). 1487 [binary,1486.1,11.1] $Ans([4,2,8,5,7,1,3,6]). ------------ end of proof ------------- given clause #1400: (wt=18) 1486 [hyper,1485,1,5,eval] board([4,2,8,5,7,1,3,6]). given clause #1401: (wt=10) 1470 [hyper,1469,1,9,eval] board([8,1,3,6]). given clause #1402: (wt=12) 1489 [hyper,1470,1,5,eval] board([4,8,1,3,6]). given clause #1403: (wt=14) 1490 [hyper,1489,1,3,eval] board([2,4,8,1,3,6]). given clause #1404: (wt=16) 1491 [hyper,1490,1,8,eval] board([7,2,4,8,1,3,6]). -------- PROOF -------- 1493 [binary,1492.1,11.1] $Ans([5,7,2,4,8,1,3,6]). ----> UNIT CONFLICT at 0.54 sec ----> 1493 [binary,1492.1,11.1] $Ans([5,7,2,4,8,1,3,6]). Length of proof is 8. Level of proof is 8. ---------------- PROOF ---------------- 1 [] -board(B)| -pick(New_col)| -$TRUE(ok(B,1,New_col))|board([New_col|B]). 2 [] pick(1). 3 [] pick(2). 4 [] pick(3). 5 [] pick(4). 6 [] pick(5). 7 [] pick(6). 8 [] pick(7). 9 [] pick(8). 10 [] board([]). 11 [] -board([X1,X2,X3,X4,X5,X6,X7,X8])|$Ans([X1,X2,X3,X4,X5,X6,X7,X8]). 16 [hyper,10,1,7,eval] board([6]). 1382 [hyper,16,1,4,eval] board([3,6]). 1469 [hyper,1382,1,2,eval] board([1,3,6]). 1470 [hyper,1469,1,9,eval] board([8,1,3,6]). 1489 [hyper,1470,1,5,eval] board([4,8,1,3,6]). 1490 [hyper,1489,1,3,eval] board([2,4,8,1,3,6]). 1491 [hyper,1490,1,8,eval] board([7,2,4,8,1,3,6]). 1492 [hyper,1491,1,6,eval] board([5,7,2,4,8,1,3,6]). 1493 [binary,1492.1,11.1] $Ans([5,7,2,4,8,1,3,6]). ------------ end of proof ------------- given clause #1405: (wt=18) 1492 [hyper,1491,1,6,eval] board([5,7,2,4,8,1,3,6]). given clause #1406: (wt=12) 1488 [hyper,1470,1,6,eval] board([5,8,1,3,6]). given clause #1407: (wt=14) 1494 [hyper,1488,1,3,eval] board([2,5,8,1,3,6]). given clause #1408: (wt=16) 1495 [hyper,1494,1,5,eval] board([4,2,5,8,1,3,6]). -------- PROOF -------- 1497 [binary,1496.1,11.1] $Ans([7,4,2,5,8,1,3,6]). ----> UNIT CONFLICT at 0.54 sec ----> 1497 [binary,1496.1,11.1] $Ans([7,4,2,5,8,1,3,6]). Length of proof is 8. Level of proof is 8. ---------------- PROOF ---------------- 1 [] -board(B)| -pick(New_col)| -$TRUE(ok(B,1,New_col))|board([New_col|B]). 2 [] pick(1). 3 [] pick(2). 4 [] pick(3). 5 [] pick(4). 6 [] pick(5). 7 [] pick(6). 8 [] pick(7). 9 [] pick(8). 10 [] board([]). 11 [] -board([X1,X2,X3,X4,X5,X6,X7,X8])|$Ans([X1,X2,X3,X4,X5,X6,X7,X8]). 16 [hyper,10,1,7,eval] board([6]). 1382 [hyper,16,1,4,eval] board([3,6]). 1469 [hyper,1382,1,2,eval] board([1,3,6]). 1470 [hyper,1469,1,9,eval] board([8,1,3,6]). 1488 [hyper,1470,1,6,eval] board([5,8,1,3,6]). 1494 [hyper,1488,1,3,eval] board([2,5,8,1,3,6]). 1495 [hyper,1494,1,5,eval] board([4,2,5,8,1,3,6]). 1496 [hyper,1495,1,8,eval] board([7,4,2,5,8,1,3,6]). 1497 [binary,1496.1,11.1] $Ans([7,4,2,5,8,1,3,6]). ------------ end of proof ------------- given clause #1409: (wt=18) 1496 [hyper,1495,1,8,eval] board([7,4,2,5,8,1,3,6]). given clause #1410: (wt=8) 1468 [hyper,1382,1,6,eval] board([5,3,6]). given clause #1411: (wt=10) 1500 [hyper,1468,1,3,eval] board([2,5,3,6]). given clause #1412: (wt=12) 1502 [hyper,1500,1,5,eval] board([4,2,5,3,6]). given clause #1413: (wt=12) 1501 [hyper,1500,1,9,eval] board([8,2,5,3,6]). given clause #1414: (wt=10) 1499 [hyper,1468,1,8,eval] board([7,5,3,6]). given clause #1415: (wt=12) 1504 [hyper,1499,1,2,eval] board([1,7,5,3,6]). given clause #1416: (wt=14) 1505 [hyper,1504,1,5,eval] board([4,1,7,5,3,6]). given clause #1417: (wt=16) 1506 [hyper,1505,1,3,eval] board([2,4,1,7,5,3,6]). -------- PROOF -------- 1508 [binary,1507.1,11.1] $Ans([8,2,4,1,7,5,3,6]). ----> UNIT CONFLICT at 0.55 sec ----> 1508 [binary,1507.1,11.1] $Ans([8,2,4,1,7,5,3,6]). Length of proof is 8. Level of proof is 8. ---------------- PROOF ---------------- 1 [] -board(B)| -pick(New_col)| -$TRUE(ok(B,1,New_col))|board([New_col|B]). 2 [] pick(1). 3 [] pick(2). 4 [] pick(3). 5 [] pick(4). 6 [] pick(5). 7 [] pick(6). 8 [] pick(7). 9 [] pick(8). 10 [] board([]). 11 [] -board([X1,X2,X3,X4,X5,X6,X7,X8])|$Ans([X1,X2,X3,X4,X5,X6,X7,X8]). 16 [hyper,10,1,7,eval] board([6]). 1382 [hyper,16,1,4,eval] board([3,6]). 1468 [hyper,1382,1,6,eval] board([5,3,6]). 1499 [hyper,1468,1,8,eval] board([7,5,3,6]). 1504 [hyper,1499,1,2,eval] board([1,7,5,3,6]). 1505 [hyper,1504,1,5,eval] board([4,1,7,5,3,6]). 1506 [hyper,1505,1,3,eval] board([2,4,1,7,5,3,6]). 1507 [hyper,1506,1,9,eval] board([8,2,4,1,7,5,3,6]). 1508 [binary,1507.1,11.1] $Ans([8,2,4,1,7,5,3,6]). ------------ end of proof ------------- given clause #1418: (wt=18) 1507 [hyper,1506,1,9,eval] board([8,2,4,1,7,5,3,6]). given clause #1419: (wt=12) 1503 [hyper,1499,1,5,eval] board([4,7,5,3,6]). given clause #1420: (wt=10) 1498 [hyper,1468,1,9,eval] board([8,5,3,6]). given clause #1421: (wt=12) 1510 [hyper,1498,1,2,eval] board([1,8,5,3,6]). given clause #1422: (wt=14) 1511 [hyper,1510,1,5,eval] board([4,1,8,5,3,6]). given clause #1423: (wt=16) 1513 [hyper,1511,1,3,eval] board([2,4,1,8,5,3,6]). -------- PROOF -------- 1515 [binary,1514.1,11.1] $Ans([7,2,4,1,8,5,3,6]). ----> UNIT CONFLICT at 0.55 sec ----> 1515 [binary,1514.1,11.1] $Ans([7,2,4,1,8,5,3,6]). Length of proof is 8. Level of proof is 8. ---------------- PROOF ---------------- 1 [] -board(B)| -pick(New_col)| -$TRUE(ok(B,1,New_col))|board([New_col|B]). 2 [] pick(1). 3 [] pick(2). 4 [] pick(3). 5 [] pick(4). 6 [] pick(5). 7 [] pick(6). 8 [] pick(7). 9 [] pick(8). 10 [] board([]). 11 [] -board([X1,X2,X3,X4,X5,X6,X7,X8])|$Ans([X1,X2,X3,X4,X5,X6,X7,X8]). 16 [hyper,10,1,7,eval] board([6]). 1382 [hyper,16,1,4,eval] board([3,6]). 1468 [hyper,1382,1,6,eval] board([5,3,6]). 1498 [hyper,1468,1,9,eval] board([8,5,3,6]). 1510 [hyper,1498,1,2,eval] board([1,8,5,3,6]). 1511 [hyper,1510,1,5,eval] board([4,1,8,5,3,6]). 1513 [hyper,1511,1,3,eval] board([2,4,1,8,5,3,6]). 1514 [hyper,1513,1,8,eval] board([7,2,4,1,8,5,3,6]). 1515 [binary,1514.1,11.1] $Ans([7,2,4,1,8,5,3,6]). ------------ end of proof ------------- given clause #1424: (wt=18) 1514 [hyper,1513,1,8,eval] board([7,2,4,1,8,5,3,6]). given clause #1425: (wt=16) 1512 [hyper,1511,1,8,eval] board([7,4,1,8,5,3,6]). given clause #1426: (wt=12) 1509 [hyper,1498,1,5,eval] board([4,8,5,3,6]). given clause #1427: (wt=8) 1467 [hyper,1382,1,8,eval] board([7,3,6]). given clause #1428: (wt=10) 1517 [hyper,1467,1,3,eval] board([2,7,3,6]). given clause #1429: (wt=12) 1519 [hyper,1517,1,5,eval] board([4,2,7,3,6]). given clause #1430: (wt=14) 1520 [hyper,1519,1,9,eval] board([8,4,2,7,3,6]). given clause #1431: (wt=16) 1521 [hyper,1520,1,2,eval] board([1,8,4,2,7,3,6]). -------- PROOF -------- 1523 [binary,1522.1,11.1] $Ans([5,1,8,4,2,7,3,6]). ----> UNIT CONFLICT at 0.55 sec ----> 1523 [binary,1522.1,11.1] $Ans([5,1,8,4,2,7,3,6]). Length of proof is 8. Level of proof is 8. ---------------- PROOF ---------------- 1 [] -board(B)| -pick(New_col)| -$TRUE(ok(B,1,New_col))|board([New_col|B]). 2 [] pick(1). 3 [] pick(2). 4 [] pick(3). 5 [] pick(4). 6 [] pick(5). 7 [] pick(6). 8 [] pick(7). 9 [] pick(8). 10 [] board([]). 11 [] -board([X1,X2,X3,X4,X5,X6,X7,X8])|$Ans([X1,X2,X3,X4,X5,X6,X7,X8]). 16 [hyper,10,1,7,eval] board([6]). 1382 [hyper,16,1,4,eval] board([3,6]). 1467 [hyper,1382,1,8,eval] board([7,3,6]). 1517 [hyper,1467,1,3,eval] board([2,7,3,6]). 1519 [hyper,1517,1,5,eval] board([4,2,7,3,6]). 1520 [hyper,1519,1,9,eval] board([8,4,2,7,3,6]). 1521 [hyper,1520,1,2,eval] board([1,8,4,2,7,3,6]). 1522 [hyper,1521,1,6,eval] board([5,1,8,4,2,7,3,6]). 1523 [binary,1522.1,11.1] $Ans([5,1,8,4,2,7,3,6]). ------------ end of proof ------------- given clause #1432: (wt=18) 1522 [hyper,1521,1,6,eval] board([5,1,8,4,2,7,3,6]). given clause #1433: (wt=12) 1518 [hyper,1517,1,9,eval] board([8,2,7,3,6]). given clause #1434: (wt=14) 1524 [hyper,1518,1,6,eval] board([5,8,2,7,3,6]). given clause #1435: (wt=16) 1525 [hyper,1524,1,2,eval] board([1,5,8,2,7,3,6]). -------- PROOF -------- 1527 [binary,1526.1,11.1] $Ans([4,1,5,8,2,7,3,6]). ----> UNIT CONFLICT at 0.55 sec ----> 1527 [binary,1526.1,11.1] $Ans([4,1,5,8,2,7,3,6]). Length of proof is 8. Level of proof is 8. ---------------- PROOF ---------------- 1 [] -board(B)| -pick(New_col)| -$TRUE(ok(B,1,New_col))|board([New_col|B]). 2 [] pick(1). 3 [] pick(2). 4 [] pick(3). 5 [] pick(4). 6 [] pick(5). 7 [] pick(6). 8 [] pick(7). 9 [] pick(8). 10 [] board([]). 11 [] -board([X1,X2,X3,X4,X5,X6,X7,X8])|$Ans([X1,X2,X3,X4,X5,X6,X7,X8]). 16 [hyper,10,1,7,eval] board([6]). 1382 [hyper,16,1,4,eval] board([3,6]). 1467 [hyper,1382,1,8,eval] board([7,3,6]). 1517 [hyper,1467,1,3,eval] board([2,7,3,6]). 1518 [hyper,1517,1,9,eval] board([8,2,7,3,6]). 1524 [hyper,1518,1,6,eval] board([5,8,2,7,3,6]). 1525 [hyper,1524,1,2,eval] board([1,5,8,2,7,3,6]). 1526 [hyper,1525,1,5,eval] board([4,1,5,8,2,7,3,6]). 1527 [binary,1526.1,11.1] $Ans([4,1,5,8,2,7,3,6]). ------------ end of proof ------------- given clause #1436: (wt=18) 1526 [hyper,1525,1,5,eval] board([4,1,5,8,2,7,3,6]). given clause #1437: (wt=10) 1516 [hyper,1467,1,5,eval] board([4,7,3,6]). given clause #1438: (wt=12) 1529 [hyper,1516,1,2,eval] board([1,4,7,3,6]). given clause #1439: (wt=14) 1531 [hyper,1529,1,6,eval] board([5,1,4,7,3,6]). given clause #1440: (wt=16) 1532 [hyper,1531,1,3,eval] board([2,5,1,4,7,3,6]). given clause #1441: (wt=14) 1530 [hyper,1529,1,9,eval] board([8,1,4,7,3,6]). given clause #1442: (wt=16) 1534 [hyper,1530,1,3,eval] board([2,8,1,4,7,3,6]). -------- PROOF -------- 1536 [binary,1535.1,11.1] $Ans([5,2,8,1,4,7,3,6]). ----> UNIT CONFLICT at 0.56 sec ----> 1536 [binary,1535.1,11.1] $Ans([5,2,8,1,4,7,3,6]). Length of proof is 8. Level of proof is 8. ---------------- PROOF ---------------- 1 [] -board(B)| -pick(New_col)| -$TRUE(ok(B,1,New_col))|board([New_col|B]). 2 [] pick(1). 3 [] pick(2). 4 [] pick(3). 5 [] pick(4). 6 [] pick(5). 7 [] pick(6). 8 [] pick(7). 9 [] pick(8). 10 [] board([]). 11 [] -board([X1,X2,X3,X4,X5,X6,X7,X8])|$Ans([X1,X2,X3,X4,X5,X6,X7,X8]). 16 [hyper,10,1,7,eval] board([6]). 1382 [hyper,16,1,4,eval] board([3,6]). 1467 [hyper,1382,1,8,eval] board([7,3,6]). 1516 [hyper,1467,1,5,eval] board([4,7,3,6]). 1529 [hyper,1516,1,2,eval] board([1,4,7,3,6]). 1530 [hyper,1529,1,9,eval] board([8,1,4,7,3,6]). 1534 [hyper,1530,1,3,eval] board([2,8,1,4,7,3,6]). 1535 [hyper,1534,1,6,eval] board([5,2,8,1,4,7,3,6]). 1536 [binary,1535.1,11.1] $Ans([5,2,8,1,4,7,3,6]). ------------ end of proof ------------- given clause #1443: (wt=18) 1535 [hyper,1534,1,6,eval] board([5,2,8,1,4,7,3,6]). given clause #1444: (wt=16) 1533 [hyper,1530,1,6,eval] board([5,8,1,4,7,3,6]). given clause #1445: (wt=12) 1528 [hyper,1516,1,9,eval] board([8,4,7,3,6]). given clause #1446: (wt=14) 1537 [hyper,1528,1,6,eval] board([5,8,4,7,3,6]). given clause #1447: (wt=16) 1538 [hyper,1537,1,3,eval] board([2,5,8,4,7,3,6]). given clause #1448: (wt=6) 1381 [hyper,16,1,5,eval] board([4,6]). given clause #1449: (wt=8) 1541 [hyper,1381,1,2,eval] board([1,4,6]). given clause #1450: (wt=10) 1544 [hyper,1541,1,6,eval] board([5,1,4,6]). given clause #1451: (wt=12) 1545 [hyper,1544,1,9,eval] board([8,5,1,4,6]). given clause #1452: (wt=14) 1546 [hyper,1545,1,3,eval] board([2,8,5,1,4,6]). given clause #1453: (wt=16) 1547 [hyper,1546,1,8,eval] board([7,2,8,5,1,4,6]). -------- PROOF -------- 1549 [binary,1548.1,11.1] $Ans([3,7,2,8,5,1,4,6]). ----> UNIT CONFLICT at 0.56 sec ----> 1549 [binary,1548.1,11.1] $Ans([3,7,2,8,5,1,4,6]). Length of proof is 8. Level of proof is 8. ---------------- PROOF ---------------- 1 [] -board(B)| -pick(New_col)| -$TRUE(ok(B,1,New_col))|board([New_col|B]). 2 [] pick(1). 3 [] pick(2). 4 [] pick(3). 5 [] pick(4). 6 [] pick(5). 7 [] pick(6). 8 [] pick(7). 9 [] pick(8). 10 [] board([]). 11 [] -board([X1,X2,X3,X4,X5,X6,X7,X8])|$Ans([X1,X2,X3,X4,X5,X6,X7,X8]). 16 [hyper,10,1,7,eval] board([6]). 1381 [hyper,16,1,5,eval] board([4,6]). 1541 [hyper,1381,1,2,eval] board([1,4,6]). 1544 [hyper,1541,1,6,eval] board([5,1,4,6]). 1545 [hyper,1544,1,9,eval] board([8,5,1,4,6]). 1546 [hyper,1545,1,3,eval] board([2,8,5,1,4,6]). 1547 [hyper,1546,1,8,eval] board([7,2,8,5,1,4,6]). 1548 [hyper,1547,1,4,eval] board([3,7,2,8,5,1,4,6]). 1549 [binary,1548.1,11.1] $Ans([3,7,2,8,5,1,4,6]). ------------ end of proof ------------- given clause #1454: (wt=18) 1548 [hyper,1547,1,4,eval] board([3,7,2,8,5,1,4,6]). given clause #1455: (wt=10) 1543 [hyper,1541,1,8,eval] board([7,1,4,6]). given clause #1456: (wt=12) 1550 [hyper,1543,1,6,eval] board([5,7,1,4,6]). given clause #1457: (wt=14) 1552 [hyper,1550,1,3,eval] board([2,5,7,1,4,6]). given clause #1458: (wt=16) 1553 [hyper,1552,1,9,eval] board([8,2,5,7,1,4,6]). given clause #1459: (wt=14) 1551 [hyper,1550,1,4,eval] board([3,5,7,1,4,6]). given clause #1460: (wt=16) 1554 [hyper,1551,1,9,eval] board([8,3,5,7,1,4,6]). given clause #1461: (wt=10) 1542 [hyper,1541,1,9,eval] board([8,1,4,6]). given clause #1462: (wt=12) 1555 [hyper,1542,1,6,eval] board([5,8,1,4,6]). given clause #1463: (wt=14) 1558 [hyper,1555,1,3,eval] board([2,5,8,1,4,6]). given clause #1464: (wt=14) 1557 [hyper,1555,1,4,eval] board([3,5,8,1,4,6]). given clause #1465: (wt=14) 1556 [hyper,1555,1,8,eval] board([7,5,8,1,4,6]). given clause #1466: (wt=16) 1559 [hyper,1556,1,3,eval] board([2,7,5,8,1,4,6]). given clause #1467: (wt=8) 1540 [hyper,1381,1,3,eval] board([2,4,6]). given clause #1468: (wt=10) 1562 [hyper,1540,1,6,eval] board([5,2,4,6]). given clause #1469: (wt=12) 1564 [hyper,1562,1,4,eval] board([3,5,2,4,6]). given clause #1470: (wt=12) 1563 [hyper,1562,1,9,eval] board([8,5,2,4,6]). given clause #1471: (wt=10) 1561 [hyper,1540,1,8,eval] board([7,2,4,6]). given clause #1472: (wt=12) 1566 [hyper,1561,1,4,eval] board([3,7,2,4,6]). given clause #1473: (wt=12) 1565 [hyper,1561,1,6,eval] board([5,7,2,4,6]). given clause #1474: (wt=14) 1567 [hyper,1565,1,4,eval] board([3,5,7,2,4,6]). given clause #1475: (wt=16) 1569 [hyper,1567,1,2,eval] board([1,3,5,7,2,4,6]). given clause #1476: (wt=16) 1568 [hyper,1567,1,9,eval] board([8,3,5,7,2,4,6]). given clause #1477: (wt=10) 1560 [hyper,1540,1,9,eval] board([8,2,4,6]). given clause #1478: (wt=12) 1571 [hyper,1560,1,4,eval] board([3,8,2,4,6]). given clause #1479: (wt=14) 1572 [hyper,1571,1,8,eval] board([7,3,8,2,4,6]). given clause #1480: (wt=12) 1570 [hyper,1560,1,6,eval] board([5,8,2,4,6]). given clause #1481: (wt=14) 1574 [hyper,1570,1,4,eval] board([3,5,8,2,4,6]). given clause #1482: (wt=16) 1575 [hyper,1574,1,2,eval] board([1,3,5,8,2,4,6]). given clause #1483: (wt=14) 1573 [hyper,1570,1,8,eval] board([7,5,8,2,4,6]). given clause #1484: (wt=16) 1576 [hyper,1573,1,2,eval] board([1,7,5,8,2,4,6]). -------- PROOF -------- 1578 [binary,1577.1,11.1] $Ans([3,1,7,5,8,2,4,6]). ----> UNIT CONFLICT at 0.57 sec ----> 1578 [binary,1577.1,11.1] $Ans([3,1,7,5,8,2,4,6]). Length of proof is 8. Level of proof is 8. ---------------- PROOF ---------------- 1 [] -board(B)| -pick(New_col)| -$TRUE(ok(B,1,New_col))|board([New_col|B]). 2 [] pick(1). 3 [] pick(2). 4 [] pick(3). 5 [] pick(4). 6 [] pick(5). 7 [] pick(6). 8 [] pick(7). 9 [] pick(8). 10 [] board([]). 11 [] -board([X1,X2,X3,X4,X5,X6,X7,X8])|$Ans([X1,X2,X3,X4,X5,X6,X7,X8]). 16 [hyper,10,1,7,eval] board([6]). 1381 [hyper,16,1,5,eval] board([4,6]). 1540 [hyper,1381,1,3,eval] board([2,4,6]). 1560 [hyper,1540,1,9,eval] board([8,2,4,6]). 1570 [hyper,1560,1,6,eval] board([5,8,2,4,6]). 1573 [hyper,1570,1,8,eval] board([7,5,8,2,4,6]). 1576 [hyper,1573,1,2,eval] board([1,7,5,8,2,4,6]). 1577 [hyper,1576,1,4,eval] board([3,1,7,5,8,2,4,6]). 1578 [binary,1577.1,11.1] $Ans([3,1,7,5,8,2,4,6]). ------------ end of proof ------------- given clause #1485: (wt=18) 1577 [hyper,1576,1,4,eval] board([3,1,7,5,8,2,4,6]). given clause #1486: (wt=8) 1539 [hyper,1381,1,8,eval] board([7,4,6]). given clause #1487: (wt=10) 1580 [hyper,1539,1,2,eval] board([1,7,4,6]). given clause #1488: (wt=12) 1582 [hyper,1580,1,4,eval] board([3,1,7,4,6]). given clause #1489: (wt=14) 1583 [hyper,1582,1,6,eval] board([5,3,1,7,4,6]). given clause #1490: (wt=16) 1585 [hyper,1583,1,3,eval] board([2,5,3,1,7,4,6]). -------- PROOF -------- 1587 [binary,1586.1,11.1] $Ans([8,2,5,3,1,7,4,6]). ----> UNIT CONFLICT at 0.57 sec ----> 1587 [binary,1586.1,11.1] $Ans([8,2,5,3,1,7,4,6]). Length of proof is 8. Level of proof is 8. ---------------- PROOF ---------------- 1 [] -board(B)| -pick(New_col)| -$TRUE(ok(B,1,New_col))|board([New_col|B]). 2 [] pick(1). 3 [] pick(2). 4 [] pick(3). 5 [] pick(4). 6 [] pick(5). 7 [] pick(6). 8 [] pick(7). 9 [] pick(8). 10 [] board([]). 11 [] -board([X1,X2,X3,X4,X5,X6,X7,X8])|$Ans([X1,X2,X3,X4,X5,X6,X7,X8]). 16 [hyper,10,1,7,eval] board([6]). 1381 [hyper,16,1,5,eval] board([4,6]). 1539 [hyper,1381,1,8,eval] board([7,4,6]). 1580 [hyper,1539,1,2,eval] board([1,7,4,6]). 1582 [hyper,1580,1,4,eval] board([3,1,7,4,6]). 1583 [hyper,1582,1,6,eval] board([5,3,1,7,4,6]). 1585 [hyper,1583,1,3,eval] board([2,5,3,1,7,4,6]). 1586 [hyper,1585,1,9,eval] board([8,2,5,3,1,7,4,6]). 1587 [binary,1586.1,11.1] $Ans([8,2,5,3,1,7,4,6]). ------------ end of proof ------------- given clause #1491: (wt=18) 1586 [hyper,1585,1,9,eval] board([8,2,5,3,1,7,4,6]). given clause #1492: (wt=16) 1584 [hyper,1583,1,9,eval] board([8,5,3,1,7,4,6]). given clause #1493: (wt=12) 1581 [hyper,1580,1,9,eval] board([8,1,7,4,6]). given clause #1494: (wt=14) 1589 [hyper,1581,1,3,eval] board([2,8,1,7,4,6]). given clause #1495: (wt=16) 1590 [hyper,1589,1,6,eval] board([5,2,8,1,7,4,6]). -------- PROOF -------- 1592 [binary,1591.1,11.1] $Ans([3,5,2,8,1,7,4,6]). ----> UNIT CONFLICT at 0.57 sec ----> 1592 [binary,1591.1,11.1] $Ans([3,5,2,8,1,7,4,6]). Length of proof is 8. Level of proof is 8. ---------------- PROOF ---------------- 1 [] -board(B)| -pick(New_col)| -$TRUE(ok(B,1,New_col))|board([New_col|B]). 2 [] pick(1). 3 [] pick(2). 4 [] pick(3). 5 [] pick(4). 6 [] pick(5). 7 [] pick(6). 8 [] pick(7). 9 [] pick(8). 10 [] board([]). 11 [] -board([X1,X2,X3,X4,X5,X6,X7,X8])|$Ans([X1,X2,X3,X4,X5,X6,X7,X8]). 16 [hyper,10,1,7,eval] board([6]). 1381 [hyper,16,1,5,eval] board([4,6]). 1539 [hyper,1381,1,8,eval] board([7,4,6]). 1580 [hyper,1539,1,2,eval] board([1,7,4,6]). 1581 [hyper,1580,1,9,eval] board([8,1,7,4,6]). 1589 [hyper,1581,1,3,eval] board([2,8,1,7,4,6]). 1590 [hyper,1589,1,6,eval] board([5,2,8,1,7,4,6]). 1591 [hyper,1590,1,4,eval] board([3,5,2,8,1,7,4,6]). 1592 [binary,1591.1,11.1] $Ans([3,5,2,8,1,7,4,6]). ------------ end of proof ------------- given clause #1496: (wt=18) 1591 [hyper,1590,1,4,eval] board([3,5,2,8,1,7,4,6]). given clause #1497: (wt=14) 1588 [hyper,1581,1,6,eval] board([5,8,1,7,4,6]). given clause #1498: (wt=16) 1593 [hyper,1588,1,3,eval] board([2,5,8,1,7,4,6]). given clause #1499: (wt=10) 1579 [hyper,1539,1,6,eval] board([5,7,4,6]). given clause #1500: (wt=12) 1595 [hyper,1579,1,4,eval] board([3,5,7,4,6]). given clause #1501: (wt=12) 1594 [hyper,1579,1,9,eval] board([8,5,7,4,6]). given clause #1502: (wt=14) 1596 [hyper,1594,1,3,eval] board([2,8,5,7,4,6]). given clause #1503: (wt=6) 1380 [hyper,16,1,9,eval] board([8,6]). given clause #1504: (wt=8) 1600 [hyper,1380,1,2,eval] board([1,8,6]). given clause #1505: (wt=10) 1603 [hyper,1600,1,5,eval] board([4,1,8,6]). given clause #1506: (wt=12) 1604 [hyper,1603,1,8,eval] board([7,4,1,8,6]). given clause #1507: (wt=14) 1606 [hyper,1604,1,4,eval] board([3,7,4,1,8,6]). given clause #1508: (wt=14) 1605 [hyper,1604,1,6,eval] board([5,7,4,1,8,6]). given clause #1509: (wt=16) 1607 [hyper,1605,1,3,eval] board([2,5,7,4,1,8,6]). given clause #1510: (wt=10) 1602 [hyper,1600,1,6,eval] board([5,1,8,6]). given clause #1511: (wt=12) 1608 [hyper,1602,1,8,eval] board([7,5,1,8,6]). given clause #1512: (wt=14) 1609 [hyper,1608,1,3,eval] board([2,7,5,1,8,6]). given clause #1513: (wt=16) 1610 [hyper,1609,1,5,eval] board([4,2,7,5,1,8,6]). given clause #1514: (wt=10) 1601 [hyper,1600,1,8,eval] board([7,1,8,6]). given clause #1515: (wt=12) 1611 [hyper,1601,1,5,eval] board([4,7,1,8,6]). given clause #1516: (wt=14) 1612 [hyper,1611,1,3,eval] board([2,4,7,1,8,6]). given clause #1517: (wt=8) 1599 [hyper,1380,1,3,eval] board([2,8,6]). given clause #1518: (wt=10) 1615 [hyper,1599,1,5,eval] board([4,2,8,6]). given clause #1519: (wt=12) 1617 [hyper,1615,1,2,eval] board([1,4,2,8,6]). given clause #1520: (wt=14) 1619 [hyper,1617,1,4,eval] board([3,1,4,2,8,6]). given clause #1521: (wt=16) 1620 [hyper,1619,1,6,eval] board([5,3,1,4,2,8,6]). given clause #1522: (wt=14) 1618 [hyper,1617,1,8,eval] board([7,1,4,2,8,6]). given clause #1523: (wt=16) 1621 [hyper,1618,1,6,eval] board([5,7,1,4,2,8,6]). -------- PROOF -------- 1623 [binary,1622.1,11.1] $Ans([3,5,7,1,4,2,8,6]). ----> UNIT CONFLICT at 0.59 sec ----> 1623 [binary,1622.1,11.1] $Ans([3,5,7,1,4,2,8,6]). Length of proof is 8. Level of proof is 8. ---------------- PROOF ---------------- 1 [] -board(B)| -pick(New_col)| -$TRUE(ok(B,1,New_col))|board([New_col|B]). 2 [] pick(1). 3 [] pick(2). 4 [] pick(3). 5 [] pick(4). 6 [] pick(5). 7 [] pick(6). 8 [] pick(7). 9 [] pick(8). 10 [] board([]). 11 [] -board([X1,X2,X3,X4,X5,X6,X7,X8])|$Ans([X1,X2,X3,X4,X5,X6,X7,X8]). 16 [hyper,10,1,7,eval] board([6]). 1380 [hyper,16,1,9,eval] board([8,6]). 1599 [hyper,1380,1,3,eval] board([2,8,6]). 1615 [hyper,1599,1,5,eval] board([4,2,8,6]). 1617 [hyper,1615,1,2,eval] board([1,4,2,8,6]). 1618 [hyper,1617,1,8,eval] board([7,1,4,2,8,6]). 1621 [hyper,1618,1,6,eval] board([5,7,1,4,2,8,6]). 1622 [hyper,1621,1,4,eval] board([3,5,7,1,4,2,8,6]). 1623 [binary,1622.1,11.1] $Ans([3,5,7,1,4,2,8,6]). ------------ end of proof ------------- given clause #1524: (wt=18) 1622 [hyper,1621,1,4,eval] board([3,5,7,1,4,2,8,6]). given clause #1525: (wt=12) 1616 [hyper,1615,1,8,eval] board([7,4,2,8,6]). given clause #1526: (wt=14) 1624 [hyper,1616,1,4,eval] board([3,7,4,2,8,6]). given clause #1527: (wt=10) 1614 [hyper,1599,1,6,eval] board([5,2,8,6]). given clause #1528: (wt=12) 1627 [hyper,1614,1,2,eval] board([1,5,2,8,6]). given clause #1529: (wt=12) 1626 [hyper,1614,1,4,eval] board([3,5,2,8,6]). given clause #1530: (wt=12) 1625 [hyper,1614,1,8,eval] board([7,5,2,8,6]). given clause #1531: (wt=10) 1613 [hyper,1599,1,8,eval] board([7,2,8,6]). given clause #1532: (wt=12) 1629 [hyper,1613,1,2,eval] board([1,7,2,8,6]). given clause #1533: (wt=14) 1630 [hyper,1629,1,4,eval] board([3,1,7,2,8,6]). given clause #1534: (wt=16) 1631 [hyper,1630,1,6,eval] board([5,3,1,7,2,8,6]). given clause #1535: (wt=12) 1628 [hyper,1613,1,4,eval] board([3,7,2,8,6]). given clause #1536: (wt=8) 1598 [hyper,1380,1,4,eval] board([3,8,6]). given clause #1537: (wt=10) 1634 [hyper,1598,1,2,eval] board([1,3,8,6]). given clause #1538: (wt=12) 1636 [hyper,1634,1,5,eval] board([4,1,3,8,6]). given clause #1539: (wt=14) 1638 [hyper,1636,1,3,eval] board([2,4,1,3,8,6]). given clause #1540: (wt=16) 1639 [hyper,1638,1,6,eval] board([5,2,4,1,3,8,6]). given clause #1541: (wt=14) 1637 [hyper,1636,1,8,eval] board([7,4,1,3,8,6]). given clause #1542: (wt=16) 1640 [hyper,1637,1,6,eval] board([5,7,4,1,3,8,6]). given clause #1543: (wt=12) 1635 [hyper,1634,1,8,eval] board([7,1,3,8,6]). given clause #1544: (wt=14) 1642 [hyper,1635,1,3,eval] board([2,7,1,3,8,6]). given clause #1545: (wt=14) 1641 [hyper,1635,1,6,eval] board([5,7,1,3,8,6]). given clause #1546: (wt=16) 1643 [hyper,1641,1,3,eval] board([2,5,7,1,3,8,6]). given clause #1547: (wt=10) 1633 [hyper,1598,1,6,eval] board([5,3,8,6]). given clause #1548: (wt=12) 1644 [hyper,1633,1,8,eval] board([7,5,3,8,6]). given clause #1549: (wt=14) 1645 [hyper,1644,1,3,eval] board([2,7,5,3,8,6]). given clause #1550: (wt=16) 1646 [hyper,1645,1,5,eval] board([4,2,7,5,3,8,6]). given clause #1551: (wt=10) 1632 [hyper,1598,1,8,eval] board([7,3,8,6]). given clause #1552: (wt=12) 1647 [hyper,1632,1,5,eval] board([4,7,3,8,6]). given clause #1553: (wt=14) 1648 [hyper,1647,1,3,eval] board([2,4,7,3,8,6]). given clause #1554: (wt=16) 1649 [hyper,1648,1,6,eval] board([5,2,4,7,3,8,6]). given clause #1555: (wt=8) 1597 [hyper,1380,1,6,eval] board([5,8,6]). given clause #1556: (wt=10) 1652 [hyper,1597,1,2,eval] board([1,5,8,6]). given clause #1557: (wt=12) 1653 [hyper,1652,1,5,eval] board([4,1,5,8,6]). given clause #1558: (wt=14) 1654 [hyper,1653,1,8,eval] board([7,4,1,5,8,6]). given clause #1559: (wt=10) 1651 [hyper,1597,1,3,eval] board([2,5,8,6]). given clause #1560: (wt=12) 1655 [hyper,1651,1,5,eval] board([4,2,5,8,6]). given clause #1561: (wt=14) 1656 [hyper,1655,1,8,eval] board([7,4,2,5,8,6]). given clause #1562: (wt=10) 1650 [hyper,1597,1,8,eval] board([7,5,8,6]). given clause #1563: (wt=12) 1658 [hyper,1650,1,2,eval] board([1,7,5,8,6]). given clause #1564: (wt=14) 1659 [hyper,1658,1,4,eval] board([3,1,7,5,8,6]). given clause #1565: (wt=12) 1657 [hyper,1650,1,5,eval] board([4,7,5,8,6]). given clause #1566: (wt=4) 15 [hyper,10,1,8,eval] board([7]). given clause #1567: (wt=6) 1664 [hyper,15,1,2,eval] board([1,7]). given clause #1568: (wt=8) 1668 [hyper,1664,1,4,eval] board([3,1,7]). given clause #1569: (wt=10) 1671 [hyper,1668,1,6,eval] board([5,3,1,7]). given clause #1570: (wt=12) 1673 [hyper,1671,1,3,eval] board([2,5,3,1,7]). given clause #1571: (wt=14) 1675 [hyper,1673,1,5,eval] board([4,2,5,3,1,7]). given clause #1572: (wt=14) 1674 [hyper,1673,1,9,eval] board([8,2,5,3,1,7]). given clause #1573: (wt=12) 1672 [hyper,1671,1,9,eval] board([8,5,3,1,7]). given clause #1574: (wt=14) 1676 [hyper,1672,1,5,eval] board([4,8,5,3,1,7]). given clause #1575: (wt=10) 1670 [hyper,1668,1,7,eval] board([6,3,1,7]). given clause #1576: (wt=12) 1678 [hyper,1670,1,3,eval] board([2,6,3,1,7]). given clause #1577: (wt=12) 1677 [hyper,1670,1,9,eval] board([8,6,3,1,7]). given clause #1578: (wt=10) 1669 [hyper,1668,1,9,eval] board([8,3,1,7]). given clause #1579: (wt=12) 1680 [hyper,1669,1,3,eval] board([2,8,3,1,7]). given clause #1580: (wt=14) 1681 [hyper,1680,1,5,eval] board([4,2,8,3,1,7]). given clause #1581: (wt=12) 1679 [hyper,1669,1,7,eval] board([6,8,3,1,7]). given clause #1582: (wt=14) 1682 [hyper,1679,1,5,eval] board([4,6,8,3,1,7]). given clause #1583: (wt=16) 1683 [hyper,1682,1,3,eval] board([2,4,6,8,3,1,7]). -------- PROOF -------- 1685 [binary,1684.1,11.1] $Ans([5,2,4,6,8,3,1,7]). ----> UNIT CONFLICT at 0.61 sec ----> 1685 [binary,1684.1,11.1] $Ans([5,2,4,6,8,3,1,7]). Length of proof is 8. Level of proof is 8. ---------------- PROOF ---------------- 1 [] -board(B)| -pick(New_col)| -$TRUE(ok(B,1,New_col))|board([New_col|B]). 2 [] pick(1). 3 [] pick(2). 4 [] pick(3). 5 [] pick(4). 6 [] pick(5). 7 [] pick(6). 8 [] pick(7). 9 [] pick(8). 10 [] board([]). 11 [] -board([X1,X2,X3,X4,X5,X6,X7,X8])|$Ans([X1,X2,X3,X4,X5,X6,X7,X8]). 15 [hyper,10,1,8,eval] board([7]). 1664 [hyper,15,1,2,eval] board([1,7]). 1668 [hyper,1664,1,4,eval] board([3,1,7]). 1669 [hyper,1668,1,9,eval] board([8,3,1,7]). 1679 [hyper,1669,1,7,eval] board([6,8,3,1,7]). 1682 [hyper,1679,1,5,eval] board([4,6,8,3,1,7]). 1683 [hyper,1682,1,3,eval] board([2,4,6,8,3,1,7]). 1684 [hyper,1683,1,6,eval] board([5,2,4,6,8,3,1,7]). 1685 [binary,1684.1,11.1] $Ans([5,2,4,6,8,3,1,7]). ------------ end of proof ------------- given clause #1584: (wt=18) 1684 [hyper,1683,1,6,eval] board([5,2,4,6,8,3,1,7]). given clause #1585: (wt=8) 1667 [hyper,1664,1,5,eval] board([4,1,7]). given clause #1586: (wt=10) 1688 [hyper,1667,1,3,eval] board([2,4,1,7]). given clause #1587: (wt=12) 1690 [hyper,1688,1,6,eval] board([5,2,4,1,7]). given clause #1588: (wt=14) 1692 [hyper,1690,1,4,eval] board([3,5,2,4,1,7]). given clause #1589: (wt=14) 1691 [hyper,1690,1,9,eval] board([8,5,2,4,1,7]). given clause #1590: (wt=12) 1689 [hyper,1688,1,9,eval] board([8,2,4,1,7]). given clause #1591: (wt=14) 1694 [hyper,1689,1,4,eval] board([3,8,2,4,1,7]). given clause #1592: (wt=14) 1693 [hyper,1689,1,7,eval] board([6,8,2,4,1,7]). given clause #1593: (wt=16) 1695 [hyper,1693,1,4,eval] board([3,6,8,2,4,1,7]). given clause #1594: (wt=10) 1687 [hyper,1667,1,7,eval] board([6,4,1,7]). given clause #1595: (wt=12) 1696 [hyper,1687,1,9,eval] board([8,6,4,1,7]). given clause #1596: (wt=14) 1697 [hyper,1696,1,4,eval] board([3,8,6,4,1,7]). given clause #1597: (wt=16) 1698 [hyper,1697,1,6,eval] board([5,3,8,6,4,1,7]). given clause #1598: (wt=10) 1686 [hyper,1667,1,9,eval] board([8,4,1,7]). given clause #1599: (wt=12) 1699 [hyper,1686,1,6,eval] board([5,8,4,1,7]). given clause #1600: (wt=14) 1700 [hyper,1699,1,4,eval] board([3,5,8,4,1,7]). given clause #1601: (wt=8) 1666 [hyper,1664,1,7,eval] board([6,1,7]). given clause #1602: (wt=10) 1702 [hyper,1666,1,3,eval] board([2,6,1,7]). given clause #1603: (wt=12) 1703 [hyper,1702,1,6,eval] board([5,2,6,1,7]). given clause #1604: (wt=14) 1704 [hyper,1703,1,9,eval] board([8,5,2,6,1,7]). given clause #1605: (wt=16) 1705 [hyper,1704,1,5,eval] board([4,8,5,2,6,1,7]). given clause #1606: (wt=10) 1701 [hyper,1666,1,9,eval] board([8,6,1,7]). given clause #1607: (wt=12) 1707 [hyper,1701,1,3,eval] board([2,8,6,1,7]). given clause #1608: (wt=14) 1708 [hyper,1707,1,5,eval] board([4,2,8,6,1,7]). given clause #1609: (wt=12) 1706 [hyper,1701,1,6,eval] board([5,8,6,1,7]). given clause #1610: (wt=8) 1665 [hyper,1664,1,9,eval] board([8,1,7]). given clause #1611: (wt=10) 1711 [hyper,1665,1,3,eval] board([2,8,1,7]). given clause #1612: (wt=12) 1712 [hyper,1711,1,6,eval] board([5,2,8,1,7]). given clause #1613: (wt=14) 1713 [hyper,1712,1,4,eval] board([3,5,2,8,1,7]). given clause #1614: (wt=10) 1710 [hyper,1665,1,6,eval] board([5,8,1,7]). given clause #1615: (wt=12) 1714 [hyper,1710,1,3,eval] board([2,5,8,1,7]). given clause #1616: (wt=14) 1716 [hyper,1714,1,5,eval] board([4,2,5,8,1,7]). given clause #1617: (wt=14) 1715 [hyper,1714,1,7,eval] board([6,2,5,8,1,7]). given clause #1618: (wt=16) 1717 [hyper,1715,1,4,eval] board([3,6,2,5,8,1,7]). given clause #1619: (wt=10) 1709 [hyper,1665,1,7,eval] board([6,8,1,7]). given clause #1620: (wt=12) 1718 [hyper,1709,1,3,eval] board([2,6,8,1,7]). given clause #1621: (wt=6) 1663 [hyper,15,1,3,eval] board([2,7]). given clause #1622: (wt=8) 1721 [hyper,1663,1,5,eval] board([4,2,7]). given clause #1623: (wt=10) 1724 [hyper,1721,1,2,eval] board([1,4,2,7]). given clause #1624: (wt=12) 1725 [hyper,1724,1,9,eval] board([8,1,4,2,7]). given clause #1625: (wt=14) 1726 [hyper,1725,1,6,eval] board([5,8,1,4,2,7]). given clause #1626: (wt=16) 1727 [hyper,1726,1,4,eval] board([3,5,8,1,4,2,7]). -------- PROOF -------- 1729 [binary,1728.1,11.1] $Ans([6,3,5,8,1,4,2,7]). ----> UNIT CONFLICT at 0.62 sec ----> 1729 [binary,1728.1,11.1] $Ans([6,3,5,8,1,4,2,7]). Length of proof is 8. Level of proof is 8. ---------------- PROOF ---------------- 1 [] -board(B)| -pick(New_col)| -$TRUE(ok(B,1,New_col))|board([New_col|B]). 2 [] pick(1). 3 [] pick(2). 4 [] pick(3). 5 [] pick(4). 6 [] pick(5). 7 [] pick(6). 8 [] pick(7). 9 [] pick(8). 10 [] board([]). 11 [] -board([X1,X2,X3,X4,X5,X6,X7,X8])|$Ans([X1,X2,X3,X4,X5,X6,X7,X8]). 15 [hyper,10,1,8,eval] board([7]). 1663 [hyper,15,1,3,eval] board([2,7]). 1721 [hyper,1663,1,5,eval] board([4,2,7]). 1724 [hyper,1721,1,2,eval] board([1,4,2,7]). 1725 [hyper,1724,1,9,eval] board([8,1,4,2,7]). 1726 [hyper,1725,1,6,eval] board([5,8,1,4,2,7]). 1727 [hyper,1726,1,4,eval] board([3,5,8,1,4,2,7]). 1728 [hyper,1727,1,7,eval] board([6,3,5,8,1,4,2,7]). 1729 [binary,1728.1,11.1] $Ans([6,3,5,8,1,4,2,7]). ------------ end of proof ------------- given clause #1627: (wt=18) 1728 [hyper,1727,1,7,eval] board([6,3,5,8,1,4,2,7]). given clause #1628: (wt=10) 1723 [hyper,1721,1,7,eval] board([6,4,2,7]). given clause #1629: (wt=12) 1731 [hyper,1723,1,2,eval] board([1,6,4,2,7]). given clause #1630: (wt=14) 1733 [hyper,1731,1,4,eval] board([3,1,6,4,2,7]). given clause #1631: (wt=16) 1734 [hyper,1733,1,6,eval] board([5,3,1,6,4,2,7]). given clause #1632: (wt=14) 1732 [hyper,1731,1,6,eval] board([5,1,6,4,2,7]). given clause #1633: (wt=12) 1730 [hyper,1723,1,9,eval] board([8,6,4,2,7]). given clause #1634: (wt=14) 1736 [hyper,1730,1,4,eval] board([3,8,6,4,2,7]). given clause #1635: (wt=16) 1737 [hyper,1736,1,6,eval] board([5,3,8,6,4,2,7]). given clause #1636: (wt=14) 1735 [hyper,1730,1,6,eval] board([5,8,6,4,2,7]). given clause #1637: (wt=10) 1722 [hyper,1721,1,9,eval] board([8,4,2,7]). given clause #1638: (wt=12) 1738 [hyper,1722,1,2,eval] board([1,8,4,2,7]). given clause #1639: (wt=14) 1740 [hyper,1738,1,4,eval] board([3,1,8,4,2,7]). given clause #1640: (wt=16) 1741 [hyper,1740,1,7,eval] board([6,3,1,8,4,2,7]). given clause #1641: (wt=14) 1739 [hyper,1738,1,6,eval] board([5,1,8,4,2,7]). given clause #1642: (wt=8) 1720 [hyper,1663,1,7,eval] board([6,2,7]). given clause #1643: (wt=10) 1744 [hyper,1720,1,2,eval] board([1,6,2,7]). given clause #1644: (wt=10) 1743 [hyper,1720,1,4,eval] board([3,6,2,7]). given clause #1645: (wt=12) 1745 [hyper,1743,1,2,eval] board([1,3,6,2,7]). given clause #1646: (wt=14) 1747 [hyper,1745,1,5,eval] board([4,1,3,6,2,7]). given clause #1647: (wt=16) 1748 [hyper,1747,1,9,eval] board([8,4,1,3,6,2,7]). -------- PROOF -------- 1750 [binary,1749.1,11.1] $Ans([5,8,4,1,3,6,2,7]). ----> UNIT CONFLICT at 0.63 sec ----> 1750 [binary,1749.1,11.1] $Ans([5,8,4,1,3,6,2,7]). Length of proof is 8. Level of proof is 8. ---------------- PROOF ---------------- 1 [] -board(B)| -pick(New_col)| -$TRUE(ok(B,1,New_col))|board([New_col|B]). 2 [] pick(1). 3 [] pick(2). 4 [] pick(3). 5 [] pick(4). 6 [] pick(5). 7 [] pick(6). 8 [] pick(7). 9 [] pick(8). 10 [] board([]). 11 [] -board([X1,X2,X3,X4,X5,X6,X7,X8])|$Ans([X1,X2,X3,X4,X5,X6,X7,X8]). 15 [hyper,10,1,8,eval] board([7]). 1663 [hyper,15,1,3,eval] board([2,7]). 1720 [hyper,1663,1,7,eval] board([6,2,7]). 1743 [hyper,1720,1,4,eval] board([3,6,2,7]). 1745 [hyper,1743,1,2,eval] board([1,3,6,2,7]). 1747 [hyper,1745,1,5,eval] board([4,1,3,6,2,7]). 1748 [hyper,1747,1,9,eval] board([8,4,1,3,6,2,7]). 1749 [hyper,1748,1,6,eval] board([5,8,4,1,3,6,2,7]). 1750 [binary,1749.1,11.1] $Ans([5,8,4,1,3,6,2,7]). ------------ end of proof ------------- given clause #1648: (wt=18) 1749 [hyper,1748,1,6,eval] board([5,8,4,1,3,6,2,7]). given clause #1649: (wt=14) 1746 [hyper,1745,1,9,eval] board([8,1,3,6,2,7]). given clause #1650: (wt=16) 1752 [hyper,1746,1,5,eval] board([4,8,1,3,6,2,7]). given clause #1651: (wt=16) 1751 [hyper,1746,1,6,eval] board([5,8,1,3,6,2,7]). given clause #1652: (wt=10) 1742 [hyper,1720,1,9,eval] board([8,6,2,7]). given clause #1653: (wt=12) 1753 [hyper,1742,1,2,eval] board([1,8,6,2,7]). given clause #1654: (wt=14) 1755 [hyper,1753,1,5,eval] board([4,1,8,6,2,7]). given clause #1655: (wt=14) 1754 [hyper,1753,1,6,eval] board([5,1,8,6,2,7]). given clause #1656: (wt=8) 1719 [hyper,1663,1,9,eval] board([8,2,7]). given clause #1657: (wt=10) 1759 [hyper,1719,1,2,eval] board([1,8,2,7]). given clause #1658: (wt=12) 1760 [hyper,1759,1,5,eval] board([4,1,8,2,7]). given clause #1659: (wt=10) 1758 [hyper,1719,1,4,eval] board([3,8,2,7]). given clause #1660: (wt=12) 1761 [hyper,1758,1,2,eval] board([1,3,8,2,7]). given clause #1661: (wt=14) 1762 [hyper,1761,1,5,eval] board([4,1,3,8,2,7]). given clause #1662: (wt=10) 1757 [hyper,1719,1,6,eval] board([5,8,2,7]). given clause #1663: (wt=12) 1763 [hyper,1757,1,2,eval] board([1,5,8,2,7]). given clause #1664: (wt=14) 1764 [hyper,1763,1,5,eval] board([4,1,5,8,2,7]). given clause #1665: (wt=16) 1765 [hyper,1764,1,7,eval] board([6,4,1,5,8,2,7]). given clause #1666: (wt=10) 1756 [hyper,1719,1,7,eval] board([6,8,2,7]). given clause #1667: (wt=12) 1767 [hyper,1756,1,2,eval] board([1,6,8,2,7]). given clause #1668: (wt=14) 1768 [hyper,1767,1,4,eval] board([3,1,6,8,2,7]). given clause #1669: (wt=16) 1769 [hyper,1768,1,6,eval] board([5,3,1,6,8,2,7]). given clause #1670: (wt=12) 1766 [hyper,1756,1,5,eval] board([4,6,8,2,7]). given clause #1671: (wt=14) 1770 [hyper,1766,1,2,eval] board([1,4,6,8,2,7]). given clause #1672: (wt=16) 1771 [hyper,1770,1,6,eval] board([5,1,4,6,8,2,7]). given clause #1673: (wt=6) 1662 [hyper,15,1,4,eval] board([3,7]). given clause #1674: (wt=8) 1774 [hyper,1662,1,2,eval] board([1,3,7]). given clause #1675: (wt=10) 1776 [hyper,1774,1,7,eval] board([6,1,3,7]). given clause #1676: (wt=12) 1779 [hyper,1776,1,3,eval] board([2,6,1,3,7]). given clause #1677: (wt=14) 1780 [hyper,1779,1,6,eval] board([5,2,6,1,3,7]). given clause #1678: (wt=12) 1778 [hyper,1776,1,5,eval] board([4,6,1,3,7]). given clause #1679: (wt=12) 1777 [hyper,1776,1,9,eval] board([8,6,1,3,7]). given clause #1680: (wt=14) 1781 [hyper,1777,1,6,eval] board([5,8,6,1,3,7]). given clause #1681: (wt=16) 1782 [hyper,1781,1,3,eval] board([2,5,8,6,1,3,7]). -------- PROOF -------- 1784 [binary,1783.1,11.1] $Ans([4,2,5,8,6,1,3,7]). ----> UNIT CONFLICT at 0.65 sec ----> 1784 [binary,1783.1,11.1] $Ans([4,2,5,8,6,1,3,7]). Length of proof is 8. Level of proof is 8. ---------------- PROOF ---------------- 1 [] -board(B)| -pick(New_col)| -$TRUE(ok(B,1,New_col))|board([New_col|B]). 2 [] pick(1). 3 [] pick(2). 4 [] pick(3). 5 [] pick(4). 6 [] pick(5). 7 [] pick(6). 8 [] pick(7). 9 [] pick(8). 10 [] board([]). 11 [] -board([X1,X2,X3,X4,X5,X6,X7,X8])|$Ans([X1,X2,X3,X4,X5,X6,X7,X8]). 15 [hyper,10,1,8,eval] board([7]). 1662 [hyper,15,1,4,eval] board([3,7]). 1774 [hyper,1662,1,2,eval] board([1,3,7]). 1776 [hyper,1774,1,7,eval] board([6,1,3,7]). 1777 [hyper,1776,1,9,eval] board([8,6,1,3,7]). 1781 [hyper,1777,1,6,eval] board([5,8,6,1,3,7]). 1782 [hyper,1781,1,3,eval] board([2,5,8,6,1,3,7]). 1783 [hyper,1782,1,5,eval] board([4,2,5,8,6,1,3,7]). 1784 [binary,1783.1,11.1] $Ans([4,2,5,8,6,1,3,7]). ------------ end of proof ------------- given clause #1682: (wt=18) 1783 [hyper,1782,1,5,eval] board([4,2,5,8,6,1,3,7]). given clause #1683: (wt=10) 1775 [hyper,1774,1,9,eval] board([8,1,3,7]). given clause #1684: (wt=12) 1787 [hyper,1775,1,3,eval] board([2,8,1,3,7]). given clause #1685: (wt=14) 1788 [hyper,1787,1,6,eval] board([5,2,8,1,3,7]). given clause #1686: (wt=12) 1786 [hyper,1775,1,5,eval] board([4,8,1,3,7]). given clause #1687: (wt=12) 1785 [hyper,1775,1,6,eval] board([5,8,1,3,7]). given clause #1688: (wt=8) 1773 [hyper,1662,1,7,eval] board([6,3,7]). given clause #1689: (wt=10) 1790 [hyper,1773,1,3,eval] board([2,6,3,7]). given clause #1690: (wt=12) 1791 [hyper,1790,1,6,eval] board([5,2,6,3,7]). given clause #1691: (wt=14) 1793 [hyper,1791,1,2,eval] board([1,5,2,6,3,7]). given clause #1692: (wt=16) 1794 [hyper,1793,1,5,eval] board([4,1,5,2,6,3,7]). given clause #1693: (wt=14) 1792 [hyper,1791,1,9,eval] board([8,5,2,6,3,7]). given clause #1694: (wt=16) 1795 [hyper,1792,1,5,eval] board([4,8,5,2,6,3,7]). given clause #1695: (wt=10) 1789 [hyper,1773,1,9,eval] board([8,6,3,7]). given clause #1696: (wt=12) 1798 [hyper,1789,1,2,eval] board([1,8,6,3,7]). given clause #1697: (wt=14) 1800 [hyper,1798,1,5,eval] board([4,1,8,6,3,7]). given clause #1698: (wt=14) 1799 [hyper,1798,1,6,eval] board([5,1,8,6,3,7]). given clause #1699: (wt=12) 1797 [hyper,1789,1,3,eval] board([2,8,6,3,7]). given clause #1700: (wt=14) 1802 [hyper,1797,1,5,eval] board([4,2,8,6,3,7]). given clause #1701: (wt=14) 1801 [hyper,1797,1,6,eval] board([5,2,8,6,3,7]). given clause #1702: (wt=12) 1796 [hyper,1789,1,6,eval] board([5,8,6,3,7]). given clause #1703: (wt=14) 1803 [hyper,1796,1,2,eval] board([1,5,8,6,3,7]). given clause #1704: (wt=16) 1804 [hyper,1803,1,5,eval] board([4,1,5,8,6,3,7]). given clause #1705: (wt=8) 1772 [hyper,1662,1,9,eval] board([8,3,7]). given clause #1706: (wt=10) 1806 [hyper,1772,1,3,eval] board([2,8,3,7]). given clause #1707: (wt=12) 1808 [hyper,1806,1,5,eval] board([4,2,8,3,7]). given clause #1708: (wt=14) 1810 [hyper,1808,1,2,eval] board([1,4,2,8,3,7]). given clause #1709: (wt=14) 1809 [hyper,1808,1,7,eval] board([6,4,2,8,3,7]). given clause #1710: (wt=12) 1807 [hyper,1806,1,6,eval] board([5,2,8,3,7]). given clause #1711: (wt=14) 1811 [hyper,1807,1,2,eval] board([1,5,2,8,3,7]). given clause #1712: (wt=16) 1812 [hyper,1811,1,7,eval] board([6,1,5,2,8,3,7]). -------- PROOF -------- 1814 [binary,1813.1,11.1] $Ans([4,6,1,5,2,8,3,7]). ----> UNIT CONFLICT at 0.66 sec ----> 1814 [binary,1813.1,11.1] $Ans([4,6,1,5,2,8,3,7]). Length of proof is 8. Level of proof is 8. ---------------- PROOF ---------------- 1 [] -board(B)| -pick(New_col)| -$TRUE(ok(B,1,New_col))|board([New_col|B]). 2 [] pick(1). 3 [] pick(2). 4 [] pick(3). 5 [] pick(4). 6 [] pick(5). 7 [] pick(6). 8 [] pick(7). 9 [] pick(8). 10 [] board([]). 11 [] -board([X1,X2,X3,X4,X5,X6,X7,X8])|$Ans([X1,X2,X3,X4,X5,X6,X7,X8]). 15 [hyper,10,1,8,eval] board([7]). 1662 [hyper,15,1,4,eval] board([3,7]). 1772 [hyper,1662,1,9,eval] board([8,3,7]). 1806 [hyper,1772,1,3,eval] board([2,8,3,7]). 1807 [hyper,1806,1,6,eval] board([5,2,8,3,7]). 1811 [hyper,1807,1,2,eval] board([1,5,2,8,3,7]). 1812 [hyper,1811,1,7,eval] board([6,1,5,2,8,3,7]). 1813 [hyper,1812,1,5,eval] board([4,6,1,5,2,8,3,7]). 1814 [binary,1813.1,11.1] $Ans([4,6,1,5,2,8,3,7]). ------------ end of proof ------------- given clause #1713: (wt=18) 1813 [hyper,1812,1,5,eval] board([4,6,1,5,2,8,3,7]). given clause #1714: (wt=10) 1805 [hyper,1772,1,7,eval] board([6,8,3,7]). given clause #1715: (wt=12) 1817 [hyper,1805,1,2,eval] board([1,6,8,3,7]). given clause #1716: (wt=12) 1816 [hyper,1805,1,3,eval] board([2,6,8,3,7]). given clause #1717: (wt=12) 1815 [hyper,1805,1,5,eval] board([4,6,8,3,7]). given clause #1718: (wt=14) 1818 [hyper,1815,1,2,eval] board([1,4,6,8,3,7]). given clause #1719: (wt=16) 1819 [hyper,1818,1,6,eval] board([5,1,4,6,8,3,7]). given clause #1720: (wt=6) 1661 [hyper,15,1,5,eval] board([4,7]). given clause #1721: (wt=8) 1823 [hyper,1661,1,2,eval] board([1,4,7]). given clause #1722: (wt=10) 1826 [hyper,1823,1,4,eval] board([3,1,4,7]). given clause #1723: (wt=12) 1829 [hyper,1826,1,6,eval] board([5,3,1,4,7]). given clause #1724: (wt=12) 1828 [hyper,1826,1,7,eval] board([6,3,1,4,7]). given clause #1725: (wt=12) 1827 [hyper,1826,1,9,eval] board([8,3,1,4,7]). given clause #1726: (wt=14) 1830 [hyper,1827,1,7,eval] board([6,8,3,1,4,7]). given clause #1727: (wt=16) 1831 [hyper,1830,1,3,eval] board([2,6,8,3,1,4,7]). given clause #1728: (wt=10) 1825 [hyper,1823,1,6,eval] board([5,1,4,7]). given clause #1729: (wt=12) 1833 [hyper,1825,1,3,eval] board([2,5,1,4,7]). given clause #1730: (wt=14) 1834 [hyper,1833,1,7,eval] board([6,2,5,1,4,7]). given clause #1731: (wt=16) 1835 [hyper,1834,1,4,eval] board([3,6,2,5,1,4,7]). given clause #1732: (wt=12) 1832 [hyper,1825,1,9,eval] board([8,5,1,4,7]). given clause #1733: (wt=14) 1836 [hyper,1832,1,7,eval] board([6,8,5,1,4,7]). given clause #1734: (wt=16) 1837 [hyper,1836,1,4,eval] board([3,6,8,5,1,4,7]). given clause #1735: (wt=10) 1824 [hyper,1823,1,9,eval] board([8,1,4,7]). given clause #1736: (wt=12) 1840 [hyper,1824,1,3,eval] board([2,8,1,4,7]). given clause #1737: (wt=14) 1841 [hyper,1840,1,6,eval] board([5,2,8,1,4,7]). given clause #1738: (wt=16) 1842 [hyper,1841,1,4,eval] board([3,5,2,8,1,4,7]). given clause #1739: (wt=12) 1839 [hyper,1824,1,6,eval] board([5,8,1,4,7]). given clause #1740: (wt=14) 1843 [hyper,1839,1,4,eval] board([3,5,8,1,4,7]). given clause #1741: (wt=16) 1844 [hyper,1843,1,7,eval] board([6,3,5,8,1,4,7]). given clause #1742: (wt=12) 1838 [hyper,1824,1,7,eval] board([6,8,1,4,7]). given clause #1743: (wt=14) 1845 [hyper,1838,1,4,eval] board([3,6,8,1,4,7]). given clause #1744: (wt=8) 1822 [hyper,1661,1,3,eval] board([2,4,7]). given clause #1745: (wt=10) 1847 [hyper,1822,1,6,eval] board([5,2,4,7]). given clause #1746: (wt=12) 1848 [hyper,1847,1,9,eval] board([8,5,2,4,7]). given clause #1747: (wt=14) 1850 [hyper,1848,1,2,eval] board([1,8,5,2,4,7]). given clause #1748: (wt=16) 1851 [hyper,1850,1,4,eval] board([3,1,8,5,2,4,7]). -------- PROOF -------- 1853 [binary,1852.1,11.1] $Ans([6,3,1,8,5,2,4,7]). ----> UNIT CONFLICT at 0.67 sec ----> 1853 [binary,1852.1,11.1] $Ans([6,3,1,8,5,2,4,7]). Length of proof is 8. Level of proof is 8. ---------------- PROOF ---------------- 1 [] -board(B)| -pick(New_col)| -$TRUE(ok(B,1,New_col))|board([New_col|B]). 2 [] pick(1). 3 [] pick(2). 4 [] pick(3). 5 [] pick(4). 6 [] pick(5). 7 [] pick(6). 8 [] pick(7). 9 [] pick(8). 10 [] board([]). 11 [] -board([X1,X2,X3,X4,X5,X6,X7,X8])|$Ans([X1,X2,X3,X4,X5,X6,X7,X8]). 15 [hyper,10,1,8,eval] board([7]). 1661 [hyper,15,1,5,eval] board([4,7]). 1822 [hyper,1661,1,3,eval] board([2,4,7]). 1847 [hyper,1822,1,6,eval] board([5,2,4,7]). 1848 [hyper,1847,1,9,eval] board([8,5,2,4,7]). 1850 [hyper,1848,1,2,eval] board([1,8,5,2,4,7]). 1851 [hyper,1850,1,4,eval] board([3,1,8,5,2,4,7]). 1852 [hyper,1851,1,7,eval] board([6,3,1,8,5,2,4,7]). 1853 [binary,1852.1,11.1] $Ans([6,3,1,8,5,2,4,7]). ------------ end of proof ------------- given clause #1749: (wt=18) 1852 [hyper,1851,1,7,eval] board([6,3,1,8,5,2,4,7]). given clause #1750: (wt=14) 1849 [hyper,1848,1,7,eval] board([6,8,5,2,4,7]). given clause #1751: (wt=16) 1854 [hyper,1849,1,4,eval] board([3,6,8,5,2,4,7]). given clause #1752: (wt=10) 1846 [hyper,1822,1,9,eval] board([8,2,4,7]). given clause #1753: (wt=12) 1856 [hyper,1846,1,6,eval] board([5,8,2,4,7]). given clause #1754: (wt=14) 1858 [hyper,1856,1,2,eval] board([1,5,8,2,4,7]). given clause #1755: (wt=14) 1857 [hyper,1856,1,4,eval] board([3,5,8,2,4,7]). given clause #1756: (wt=12) 1855 [hyper,1846,1,7,eval] board([6,8,2,4,7]). given clause #1757: (wt=14) 1860 [hyper,1855,1,2,eval] board([1,6,8,2,4,7]). given clause #1758: (wt=16) 1861 [hyper,1860,1,4,eval] board([3,1,6,8,2,4,7]). -------- PROOF -------- 1863 [binary,1862.1,11.1] $Ans([5,3,1,6,8,2,4,7]). ----> UNIT CONFLICT at 0.68 sec ----> 1863 [binary,1862.1,11.1] $Ans([5,3,1,6,8,2,4,7]). Length of proof is 8. Level of proof is 8. ---------------- PROOF ---------------- 1 [] -board(B)| -pick(New_col)| -$TRUE(ok(B,1,New_col))|board([New_col|B]). 2 [] pick(1). 3 [] pick(2). 4 [] pick(3). 5 [] pick(4). 6 [] pick(5). 7 [] pick(6). 8 [] pick(7). 9 [] pick(8). 10 [] board([]). 11 [] -board([X1,X2,X3,X4,X5,X6,X7,X8])|$Ans([X1,X2,X3,X4,X5,X6,X7,X8]). 15 [hyper,10,1,8,eval] board([7]). 1661 [hyper,15,1,5,eval] board([4,7]). 1822 [hyper,1661,1,3,eval] board([2,4,7]). 1846 [hyper,1822,1,9,eval] board([8,2,4,7]). 1855 [hyper,1846,1,7,eval] board([6,8,2,4,7]). 1860 [hyper,1855,1,2,eval] board([1,6,8,2,4,7]). 1861 [hyper,1860,1,4,eval] board([3,1,6,8,2,4,7]). 1862 [hyper,1861,1,6,eval] board([5,3,1,6,8,2,4,7]). 1863 [binary,1862.1,11.1] $Ans([5,3,1,6,8,2,4,7]). ------------ end of proof ------------- given clause #1759: (wt=18) 1862 [hyper,1861,1,6,eval] board([5,3,1,6,8,2,4,7]). given clause #1760: (wt=14) 1859 [hyper,1855,1,4,eval] board([3,6,8,2,4,7]). given clause #1761: (wt=8) 1821 [hyper,1661,1,7,eval] board([6,4,7]). given clause #1762: (wt=10) 1866 [hyper,1821,1,2,eval] board([1,6,4,7]). given clause #1763: (wt=12) 1867 [hyper,1866,1,6,eval] board([5,1,6,4,7]). given clause #1764: (wt=10) 1865 [hyper,1821,1,4,eval] board([3,6,4,7]). given clause #1765: (wt=12) 1868 [hyper,1865,1,6,eval] board([5,3,6,4,7]). given clause #1766: (wt=10) 1864 [hyper,1821,1,9,eval] board([8,6,4,7]). given clause #1767: (wt=12) 1870 [hyper,1864,1,3,eval] board([2,8,6,4,7]). given clause #1768: (wt=14) 1871 [hyper,1870,1,6,eval] board([5,2,8,6,4,7]). given clause #1769: (wt=16) 1872 [hyper,1871,1,4,eval] board([3,5,2,8,6,4,7]). given clause #1770: (wt=12) 1869 [hyper,1864,1,6,eval] board([5,8,6,4,7]). given clause #1771: (wt=14) 1873 [hyper,1869,1,2,eval] board([1,5,8,6,4,7]). given clause #1772: (wt=8) 1820 [hyper,1661,1,9,eval] board([8,4,7]). given clause #1773: (wt=10) 1876 [hyper,1820,1,2,eval] board([1,8,4,7]). given clause #1774: (wt=12) 1877 [hyper,1876,1,6,eval] board([5,1,8,4,7]). given clause #1775: (wt=10) 1875 [hyper,1820,1,4,eval] board([3,8,4,7]). given clause #1776: (wt=12) 1878 [hyper,1875,1,6,eval] board([5,3,8,4,7]). given clause #1777: (wt=10) 1874 [hyper,1820,1,6,eval] board([5,8,4,7]). given clause #1778: (wt=12) 1879 [hyper,1874,1,3,eval] board([2,5,8,4,7]). given clause #1779: (wt=14) 1880 [hyper,1879,1,7,eval] board([6,2,5,8,4,7]). given clause #1780: (wt=16) 1881 [hyper,1880,1,4,eval] board([3,6,2,5,8,4,7]). given clause #1781: (wt=6) 1660 [hyper,15,1,6,eval] board([5,7]). given clause #1782: (wt=8) 1885 [hyper,1660,1,2,eval] board([1,5,7]). given clause #1783: (wt=10) 1887 [hyper,1885,1,7,eval] board([6,1,5,7]). given clause #1784: (wt=12) 1888 [hyper,1887,1,5,eval] board([4,6,1,5,7]). given clause #1785: (wt=10) 1886 [hyper,1885,1,9,eval] board([8,1,5,7]). given clause #1786: (wt=12) 1890 [hyper,1886,1,5,eval] board([4,8,1,5,7]). given clause #1787: (wt=12) 1889 [hyper,1886,1,7,eval] board([6,8,1,5,7]). given clause #1788: (wt=14) 1891 [hyper,1889,1,4,eval] board([3,6,8,1,5,7]). given clause #1789: (wt=8) 1884 [hyper,1660,1,3,eval] board([2,5,7]). given clause #1790: (wt=10) 1893 [hyper,1884,1,7,eval] board([6,2,5,7]). given clause #1791: (wt=12) 1894 [hyper,1893,1,2,eval] board([1,6,2,5,7]). given clause #1792: (wt=14) 1895 [hyper,1894,1,4,eval] board([3,1,6,2,5,7]). given clause #1793: (wt=16) 1896 [hyper,1895,1,9,eval] board([8,3,1,6,2,5,7]). given clause #1794: (wt=10) 1892 [hyper,1884,1,9,eval] board([8,2,5,7]). given clause #1795: (wt=12) 1898 [hyper,1892,1,2,eval] board([1,8,2,5,7]). given clause #1796: (wt=14) 1900 [hyper,1898,1,4,eval] board([3,1,8,2,5,7]). given clause #1797: (wt=14) 1899 [hyper,1898,1,5,eval] board([4,1,8,2,5,7]). given clause #1798: (wt=12) 1897 [hyper,1892,1,7,eval] board([6,8,2,5,7]). given clause #1799: (wt=14) 1902 [hyper,1897,1,4,eval] board([3,6,8,2,5,7]). given clause #1800: (wt=14) 1901 [hyper,1897,1,5,eval] board([4,6,8,2,5,7]). given clause #1801: (wt=8) 1883 [hyper,1660,1,4,eval] board([3,5,7]). given clause #1802: (wt=10) 1905 [hyper,1883,1,2,eval] board([1,3,5,7]). given clause #1803: (wt=12) 1907 [hyper,1905,1,5,eval] board([4,1,3,5,7]). given clause #1804: (wt=14) 1908 [hyper,1907,1,9,eval] board([8,4,1,3,5,7]). given clause #1805: (wt=12) 1906 [hyper,1905,1,7,eval] board([6,1,3,5,7]). given clause #1806: (wt=14) 1910 [hyper,1906,1,5,eval] board([4,6,1,3,5,7]). given clause #1807: (wt=16) 1911 [hyper,1910,1,3,eval] board([2,4,6,1,3,5,7]). given clause #1808: (wt=14) 1909 [hyper,1906,1,9,eval] board([8,6,1,3,5,7]). given clause #1809: (wt=16) 1912 [hyper,1909,1,3,eval] board([2,8,6,1,3,5,7]). -------- PROOF -------- 1914 [binary,1913.1,11.1] $Ans([4,2,8,6,1,3,5,7]). ----> UNIT CONFLICT at 0.70 sec ----> 1914 [binary,1913.1,11.1] $Ans([4,2,8,6,1,3,5,7]). Length of proof is 8. Level of proof is 8. ---------------- PROOF ---------------- 1 [] -board(B)| -pick(New_col)| -$TRUE(ok(B,1,New_col))|board([New_col|B]). 2 [] pick(1). 3 [] pick(2). 4 [] pick(3). 5 [] pick(4). 6 [] pick(5). 7 [] pick(6). 8 [] pick(7). 9 [] pick(8). 10 [] board([]). 11 [] -board([X1,X2,X3,X4,X5,X6,X7,X8])|$Ans([X1,X2,X3,X4,X5,X6,X7,X8]). 15 [hyper,10,1,8,eval] board([7]). 1660 [hyper,15,1,6,eval] board([5,7]). 1883 [hyper,1660,1,4,eval] board([3,5,7]). 1905 [hyper,1883,1,2,eval] board([1,3,5,7]). 1906 [hyper,1905,1,7,eval] board([6,1,3,5,7]). 1909 [hyper,1906,1,9,eval] board([8,6,1,3,5,7]). 1912 [hyper,1909,1,3,eval] board([2,8,6,1,3,5,7]). 1913 [hyper,1912,1,5,eval] board([4,2,8,6,1,3,5,7]). 1914 [binary,1913.1,11.1] $Ans([4,2,8,6,1,3,5,7]). ------------ end of proof ------------- given clause #1810: (wt=18) 1913 [hyper,1912,1,5,eval] board([4,2,8,6,1,3,5,7]). given clause #1811: (wt=10) 1904 [hyper,1883,1,7,eval] board([6,3,5,7]). given clause #1812: (wt=12) 1915 [hyper,1904,1,5,eval] board([4,6,3,5,7]). given clause #1813: (wt=10) 1903 [hyper,1883,1,9,eval] board([8,3,5,7]). given clause #1814: (wt=12) 1917 [hyper,1903,1,5,eval] board([4,8,3,5,7]). given clause #1815: (wt=12) 1916 [hyper,1903,1,7,eval] board([6,8,3,5,7]). given clause #1816: (wt=14) 1918 [hyper,1916,1,5,eval] board([4,6,8,3,5,7]). given clause #1817: (wt=16) 1919 [hyper,1918,1,3,eval] board([2,4,6,8,3,5,7]). given clause #1818: (wt=8) 1882 [hyper,1660,1,9,eval] board([8,5,7]). given clause #1819: (wt=10) 1922 [hyper,1882,1,2,eval] board([1,8,5,7]). given clause #1820: (wt=12) 1923 [hyper,1922,1,5,eval] board([4,1,8,5,7]). given clause #1821: (wt=14) 1924 [hyper,1923,1,7,eval] board([6,4,1,8,5,7]). given clause #1822: (wt=16) 1925 [hyper,1924,1,4,eval] board([3,6,4,1,8,5,7]). given clause #1823: (wt=10) 1921 [hyper,1882,1,3,eval] board([2,8,5,7]). given clause #1824: (wt=12) 1926 [hyper,1921,1,5,eval] board([4,2,8,5,7]). given clause #1825: (wt=14) 1927 [hyper,1926,1,7,eval] board([6,4,2,8,5,7]). given clause #1826: (wt=16) 1928 [hyper,1927,1,4,eval] board([3,6,4,2,8,5,7]). given clause #1827: (wt=10) 1920 [hyper,1882,1,7,eval] board([6,8,5,7]). given clause #1828: (wt=12) 1930 [hyper,1920,1,2,eval] board([1,6,8,5,7]). given clause #1829: (wt=14) 1931 [hyper,1930,1,4,eval] board([3,1,6,8,5,7]). given clause #1830: (wt=12) 1929 [hyper,1920,1,5,eval] board([4,6,8,5,7]). given clause #1831: (wt=4) 14 [hyper,10,1,9,eval] board([8]). given clause #1832: (wt=6) 1937 [hyper,14,1,2,eval] board([1,8]). given clause #1833: (wt=8) 1941 [hyper,1937,1,4,eval] board([3,1,8]). given clause #1834: (wt=10) 1943 [hyper,1941,1,7,eval] board([6,3,1,8]). given clause #1835: (wt=12) 1944 [hyper,1943,1,3,eval] board([2,6,3,1,8]). given clause #1836: (wt=14) 1945 [hyper,1944,1,8,eval] board([7,2,6,3,1,8]). given clause #1837: (wt=16) 1946 [hyper,1945,1,6,eval] board([5,7,2,6,3,1,8]). given clause #1838: (wt=10) 1942 [hyper,1941,1,8,eval] board([7,3,1,8]). given clause #1839: (wt=12) 1947 [hyper,1942,1,3,eval] board([2,7,3,1,8]). given clause #1840: (wt=14) 1948 [hyper,1947,1,5,eval] board([4,2,7,3,1,8]). given clause #1841: (wt=8) 1940 [hyper,1937,1,5,eval] board([4,1,8]). given clause #1842: (wt=10) 1951 [hyper,1940,1,3,eval] board([2,4,1,8]). given clause #1843: (wt=12) 1953 [hyper,1951,1,6,eval] board([5,2,4,1,8]). given clause #1844: (wt=12) 1952 [hyper,1951,1,8,eval] board([7,2,4,1,8]). given clause #1845: (wt=10) 1950 [hyper,1940,1,7,eval] board([6,4,1,8]). given clause #1846: (wt=12) 1954 [hyper,1950,1,4,eval] board([3,6,4,1,8]). given clause #1847: (wt=10) 1949 [hyper,1940,1,8,eval] board([7,4,1,8]). given clause #1848: (wt=12) 1956 [hyper,1949,1,4,eval] board([3,7,4,1,8]). given clause #1849: (wt=14) 1957 [hyper,1956,1,7,eval] board([6,3,7,4,1,8]). given clause #1850: (wt=12) 1955 [hyper,1949,1,6,eval] board([5,7,4,1,8]). given clause #1851: (wt=14) 1958 [hyper,1955,1,3,eval] board([2,5,7,4,1,8]). given clause #1852: (wt=8) 1939 [hyper,1937,1,6,eval] board([5,1,8]). given clause #1853: (wt=10) 1960 [hyper,1939,1,3,eval] board([2,5,1,8]). given clause #1854: (wt=12) 1961 [hyper,1960,1,7,eval] board([6,2,5,1,8]). given clause #1855: (wt=10) 1959 [hyper,1939,1,8,eval] board([7,5,1,8]). given clause #1856: (wt=12) 1962 [hyper,1959,1,3,eval] board([2,7,5,1,8]). given clause #1857: (wt=14) 1964 [hyper,1962,1,5,eval] board([4,2,7,5,1,8]). given clause #1858: (wt=14) 1963 [hyper,1962,1,7,eval] board([6,2,7,5,1,8]). given clause #1859: (wt=16) 1965 [hyper,1963,1,4,eval] board([3,6,2,7,5,1,8]). given clause #1860: (wt=8) 1938 [hyper,1937,1,8,eval] board([7,1,8]). given clause #1861: (wt=10) 1967 [hyper,1938,1,3,eval] board([2,7,1,8]). given clause #1862: (wt=12) 1968 [hyper,1967,1,7,eval] board([6,2,7,1,8]). given clause #1863: (wt=10) 1966 [hyper,1938,1,5,eval] board([4,7,1,8]). given clause #1864: (wt=12) 1970 [hyper,1966,1,3,eval] board([2,4,7,1,8]). given clause #1865: (wt=12) 1969 [hyper,1966,1,7,eval] board([6,4,7,1,8]). given clause #1866: (wt=6) 1936 [hyper,14,1,3,eval] board([2,8]). given clause #1867: (wt=8) 1973 [hyper,1936,1,5,eval] board([4,2,8]). given clause #1868: (wt=10) 1976 [hyper,1973,1,2,eval] board([1,4,2,8]). given clause #1869: (wt=12) 1978 [hyper,1976,1,4,eval] board([3,1,4,2,8]). given clause #1870: (wt=14) 1979 [hyper,1978,1,6,eval] board([5,3,1,4,2,8]). given clause #1871: (wt=12) 1977 [hyper,1976,1,8,eval] board([7,1,4,2,8]). given clause #1872: (wt=14) 1980 [hyper,1977,1,6,eval] board([5,7,1,4,2,8]). given clause #1873: (wt=16) 1981 [hyper,1980,1,4,eval] board([3,5,7,1,4,2,8]). -------- PROOF -------- 1983 [binary,1982.1,11.1] $Ans([6,3,5,7,1,4,2,8]). ----> UNIT CONFLICT at 0.72 sec ----> 1983 [binary,1982.1,11.1] $Ans([6,3,5,7,1,4,2,8]). Length of proof is 8. Level of proof is 8. ---------------- PROOF ---------------- 1 [] -board(B)| -pick(New_col)| -$TRUE(ok(B,1,New_col))|board([New_col|B]). 2 [] pick(1). 3 [] pick(2). 4 [] pick(3). 5 [] pick(4). 6 [] pick(5). 7 [] pick(6). 8 [] pick(7). 9 [] pick(8). 10 [] board([]). 11 [] -board([X1,X2,X3,X4,X5,X6,X7,X8])|$Ans([X1,X2,X3,X4,X5,X6,X7,X8]). 14 [hyper,10,1,9,eval] board([8]). 1936 [hyper,14,1,3,eval] board([2,8]). 1973 [hyper,1936,1,5,eval] board([4,2,8]). 1976 [hyper,1973,1,2,eval] board([1,4,2,8]). 1977 [hyper,1976,1,8,eval] board([7,1,4,2,8]). 1980 [hyper,1977,1,6,eval] board([5,7,1,4,2,8]). 1981 [hyper,1980,1,4,eval] board([3,5,7,1,4,2,8]). 1982 [hyper,1981,1,7,eval] board([6,3,5,7,1,4,2,8]). 1983 [binary,1982.1,11.1] $Ans([6,3,5,7,1,4,2,8]). ------------ end of proof ------------- given clause #1874: (wt=18) 1982 [hyper,1981,1,7,eval] board([6,3,5,7,1,4,2,8]). given clause #1875: (wt=10) 1975 [hyper,1973,1,7,eval] board([6,4,2,8]). given clause #1876: (wt=12) 1985 [hyper,1975,1,2,eval] board([1,6,4,2,8]). given clause #1877: (wt=14) 1986 [hyper,1985,1,6,eval] board([5,1,6,4,2,8]). given clause #1878: (wt=12) 1984 [hyper,1975,1,4,eval] board([3,6,4,2,8]). given clause #1879: (wt=14) 1987 [hyper,1984,1,6,eval] board([5,3,6,4,2,8]). given clause #1880: (wt=10) 1974 [hyper,1973,1,8,eval] board([7,4,2,8]). given clause #1881: (wt=12) 1989 [hyper,1974,1,2,eval] board([1,7,4,2,8]). given clause #1882: (wt=12) 1988 [hyper,1974,1,4,eval] board([3,7,4,2,8]). given clause #1883: (wt=8) 1972 [hyper,1936,1,6,eval] board([5,2,8]). given clause #1884: (wt=10) 1992 [hyper,1972,1,2,eval] board([1,5,2,8]). given clause #1885: (wt=12) 1993 [hyper,1992,1,7,eval] board([6,1,5,2,8]). given clause #1886: (wt=14) 1994 [hyper,1993,1,5,eval] board([4,6,1,5,2,8]). given clause #1887: (wt=10) 1991 [hyper,1972,1,4,eval] board([3,5,2,8]). given clause #1888: (wt=12) 1996 [hyper,1991,1,2,eval] board([1,3,5,2,8]). given clause #1889: (wt=14) 1998 [hyper,1996,1,5,eval] board([4,1,3,5,2,8]). given clause #1890: (wt=14) 1997 [hyper,1996,1,8,eval] board([7,1,3,5,2,8]). given clause #1891: (wt=16) 1999 [hyper,1997,1,5,eval] board([4,7,1,3,5,2,8]). -------- PROOF -------- 2001 [binary,2000.1,11.1] $Ans([6,4,7,1,3,5,2,8]). ----> UNIT CONFLICT at 0.73 sec ----> 2001 [binary,2000.1,11.1] $Ans([6,4,7,1,3,5,2,8]). Length of proof is 8. Level of proof is 8. ---------------- PROOF ---------------- 1 [] -board(B)| -pick(New_col)| -$TRUE(ok(B,1,New_col))|board([New_col|B]). 2 [] pick(1). 3 [] pick(2). 4 [] pick(3). 5 [] pick(4). 6 [] pick(5). 7 [] pick(6). 8 [] pick(7). 9 [] pick(8). 10 [] board([]). 11 [] -board([X1,X2,X3,X4,X5,X6,X7,X8])|$Ans([X1,X2,X3,X4,X5,X6,X7,X8]). 14 [hyper,10,1,9,eval] board([8]). 1936 [hyper,14,1,3,eval] board([2,8]). 1972 [hyper,1936,1,6,eval] board([5,2,8]). 1991 [hyper,1972,1,4,eval] board([3,5,2,8]). 1996 [hyper,1991,1,2,eval] board([1,3,5,2,8]). 1997 [hyper,1996,1,8,eval] board([7,1,3,5,2,8]). 1999 [hyper,1997,1,5,eval] board([4,7,1,3,5,2,8]). 2000 [hyper,1999,1,7,eval] board([6,4,7,1,3,5,2,8]). 2001 [binary,2000.1,11.1] $Ans([6,4,7,1,3,5,2,8]). ------------ end of proof ------------- given clause #1892: (wt=18) 2000 [hyper,1999,1,7,eval] board([6,4,7,1,3,5,2,8]). given clause #1893: (wt=12) 1995 [hyper,1991,1,7,eval] board([6,3,5,2,8]). given clause #1894: (wt=14) 2002 [hyper,1995,1,5,eval] board([4,6,3,5,2,8]). given clause #1895: (wt=10) 1990 [hyper,1972,1,8,eval] board([7,5,2,8]). given clause #1896: (wt=12) 2003 [hyper,1990,1,2,eval] board([1,7,5,2,8]). given clause #1897: (wt=14) 2004 [hyper,2003,1,5,eval] board([4,1,7,5,2,8]). given clause #1898: (wt=16) 2005 [hyper,2004,1,7,eval] board([6,4,1,7,5,2,8]). given clause #1899: (wt=8) 1971 [hyper,1936,1,8,eval] board([7,2,8]). given clause #1900: (wt=10) 2007 [hyper,1971,1,2,eval] board([1,7,2,8]). given clause #1901: (wt=12) 2009 [hyper,2007,1,4,eval] board([3,1,7,2,8]). given clause #1902: (wt=14) 2010 [hyper,2009,1,6,eval] board([5,3,1,7,2,8]). given clause #1903: (wt=12) 2008 [hyper,2007,1,7,eval] board([6,1,7,2,8]). given clause #1904: (wt=10) 2006 [hyper,1971,1,4,eval] board([3,7,2,8]). given clause #1905: (wt=12) 2012 [hyper,2006,1,2,eval] board([1,3,7,2,8]). given clause #1906: (wt=12) 2011 [hyper,2006,1,7,eval] board([6,3,7,2,8]). given clause #1907: (wt=6) 1935 [hyper,14,1,4,eval] board([3,8]). given clause #1908: (wt=8) 2015 [hyper,1935,1,2,eval] board([1,3,8]). given clause #1909: (wt=10) 2018 [hyper,2015,1,5,eval] board([4,1,3,8]). given clause #1910: (wt=12) 2020 [hyper,2018,1,3,eval] board([2,4,1,3,8]). given clause #1911: (wt=14) 2021 [hyper,2020,1,6,eval] board([5,2,4,1,3,8]). given clause #1912: (wt=12) 2019 [hyper,2018,1,8,eval] board([7,4,1,3,8]). given clause #1913: (wt=14) 2022 [hyper,2019,1,6,eval] board([5,7,4,1,3,8]). given clause #1914: (wt=10) 2017 [hyper,2015,1,7,eval] board([6,1,3,8]). given clause #1915: (wt=12) 2023 [hyper,2017,1,3,eval] board([2,6,1,3,8]). given clause #1916: (wt=14) 2024 [hyper,2023,1,6,eval] board([5,2,6,1,3,8]). given clause #1917: (wt=16) 2025 [hyper,2024,1,8,eval] board([7,5,2,6,1,3,8]). -------- PROOF -------- 2027 [binary,2026.1,11.1] $Ans([4,7,5,2,6,1,3,8]). ----> UNIT CONFLICT at 0.74 sec ----> 2027 [binary,2026.1,11.1] $Ans([4,7,5,2,6,1,3,8]). Length of proof is 8. Level of proof is 8. ---------------- PROOF ---------------- 1 [] -board(B)| -pick(New_col)| -$TRUE(ok(B,1,New_col))|board([New_col|B]). 2 [] pick(1). 3 [] pick(2). 4 [] pick(3). 5 [] pick(4). 6 [] pick(5). 7 [] pick(6). 8 [] pick(7). 9 [] pick(8). 10 [] board([]). 11 [] -board([X1,X2,X3,X4,X5,X6,X7,X8])|$Ans([X1,X2,X3,X4,X5,X6,X7,X8]). 14 [hyper,10,1,9,eval] board([8]). 1935 [hyper,14,1,4,eval] board([3,8]). 2015 [hyper,1935,1,2,eval] board([1,3,8]). 2017 [hyper,2015,1,7,eval] board([6,1,3,8]). 2023 [hyper,2017,1,3,eval] board([2,6,1,3,8]). 2024 [hyper,2023,1,6,eval] board([5,2,6,1,3,8]). 2025 [hyper,2024,1,8,eval] board([7,5,2,6,1,3,8]). 2026 [hyper,2025,1,5,eval] board([4,7,5,2,6,1,3,8]). 2027 [binary,2026.1,11.1] $Ans([4,7,5,2,6,1,3,8]). ------------ end of proof ------------- given clause #1918: (wt=18) 2026 [hyper,2025,1,5,eval] board([4,7,5,2,6,1,3,8]). given clause #1919: (wt=10) 2016 [hyper,2015,1,8,eval] board([7,1,3,8]). given clause #1920: (wt=12) 2029 [hyper,2016,1,3,eval] board([2,7,1,3,8]). given clause #1921: (wt=14) 2030 [hyper,2029,1,7,eval] board([6,2,7,1,3,8]). given clause #1922: (wt=12) 2028 [hyper,2016,1,6,eval] board([5,7,1,3,8]). given clause #1923: (wt=14) 2031 [hyper,2028,1,3,eval] board([2,5,7,1,3,8]). given clause #1924: (wt=16) 2032 [hyper,2031,1,7,eval] board([6,2,5,7,1,3,8]). given clause #1925: (wt=8) 2014 [hyper,1935,1,6,eval] board([5,3,8]). given clause #1926: (wt=10) 2034 [hyper,2014,1,3,eval] board([2,5,3,8]). given clause #1927: (wt=10) 2033 [hyper,2014,1,8,eval] board([7,5,3,8]). given clause #1928: (wt=12) 2036 [hyper,2033,1,2,eval] board([1,7,5,3,8]). given clause #1929: (wt=14) 2038 [hyper,2036,1,5,eval] board([4,1,7,5,3,8]). given clause #1930: (wt=16) 2039 [hyper,2038,1,7,eval] board([6,4,1,7,5,3,8]). given clause #1931: (wt=14) 2037 [hyper,2036,1,7,eval] board([6,1,7,5,3,8]). given clause #1932: (wt=12) 2035 [hyper,2033,1,3,eval] board([2,7,5,3,8]). given clause #1933: (wt=14) 2041 [hyper,2035,1,5,eval] board([4,2,7,5,3,8]). given clause #1934: (wt=16) 2042 [hyper,2041,1,7,eval] board([6,4,2,7,5,3,8]). given clause #1935: (wt=14) 2040 [hyper,2035,1,7,eval] board([6,2,7,5,3,8]). given clause #1936: (wt=8) 2013 [hyper,1935,1,8,eval] board([7,3,8]). given clause #1937: (wt=10) 2044 [hyper,2013,1,3,eval] board([2,7,3,8]). given clause #1938: (wt=10) 2043 [hyper,2013,1,5,eval] board([4,7,3,8]). given clause #1939: (wt=12) 2046 [hyper,2043,1,2,eval] board([1,4,7,3,8]). given clause #1940: (wt=14) 2047 [hyper,2046,1,6,eval] board([5,1,4,7,3,8]). given clause #1941: (wt=12) 2045 [hyper,2043,1,3,eval] board([2,4,7,3,8]). given clause #1942: (wt=14) 2048 [hyper,2045,1,6,eval] board([5,2,4,7,3,8]). given clause #1943: (wt=6) 1934 [hyper,14,1,5,eval] board([4,8]). given clause #1944: (wt=8) 2051 [hyper,1934,1,2,eval] board([1,4,8]). given clause #1945: (wt=10) 2053 [hyper,2051,1,4,eval] board([3,1,4,8]). given clause #1946: (wt=12) 2055 [hyper,2053,1,6,eval] board([5,3,1,4,8]). given clause #1947: (wt=14) 2057 [hyper,2055,1,3,eval] board([2,5,3,1,4,8]). given clause #1948: (wt=14) 2056 [hyper,2055,1,8,eval] board([7,5,3,1,4,8]). given clause #1949: (wt=12) 2054 [hyper,2053,1,7,eval] board([6,3,1,4,8]). given clause #1950: (wt=14) 2058 [hyper,2054,1,3,eval] board([2,6,3,1,4,8]). given clause #1951: (wt=16) 2059 [hyper,2058,1,8,eval] board([7,2,6,3,1,4,8]). -------- PROOF -------- 2061 [binary,2060.1,11.1] $Ans([5,7,2,6,3,1,4,8]). ----> UNIT CONFLICT at 0.75 sec ----> 2061 [binary,2060.1,11.1] $Ans([5,7,2,6,3,1,4,8]). Length of proof is 8. Level of proof is 8. ---------------- PROOF ---------------- 1 [] -board(B)| -pick(New_col)| -$TRUE(ok(B,1,New_col))|board([New_col|B]). 2 [] pick(1). 3 [] pick(2). 4 [] pick(3). 5 [] pick(4). 6 [] pick(5). 7 [] pick(6). 8 [] pick(7). 9 [] pick(8). 10 [] board([]). 11 [] -board([X1,X2,X3,X4,X5,X6,X7,X8])|$Ans([X1,X2,X3,X4,X5,X6,X7,X8]). 14 [hyper,10,1,9,eval] board([8]). 1934 [hyper,14,1,5,eval] board([4,8]). 2051 [hyper,1934,1,2,eval] board([1,4,8]). 2053 [hyper,2051,1,4,eval] board([3,1,4,8]). 2054 [hyper,2053,1,7,eval] board([6,3,1,4,8]). 2058 [hyper,2054,1,3,eval] board([2,6,3,1,4,8]). 2059 [hyper,2058,1,8,eval] board([7,2,6,3,1,4,8]). 2060 [hyper,2059,1,6,eval] board([5,7,2,6,3,1,4,8]). 2061 [binary,2060.1,11.1] $Ans([5,7,2,6,3,1,4,8]). ------------ end of proof ------------- given clause #1952: (wt=18) 2060 [hyper,2059,1,6,eval] board([5,7,2,6,3,1,4,8]). given clause #1953: (wt=10) 2052 [hyper,2051,1,8,eval] board([7,1,4,8]). given clause #1954: (wt=12) 2063 [hyper,2052,1,3,eval] board([2,7,1,4,8]). given clause #1955: (wt=14) 2064 [hyper,2063,1,7,eval] board([6,2,7,1,4,8]). given clause #1956: (wt=16) 2065 [hyper,2064,1,4,eval] board([3,6,2,7,1,4,8]). given clause #1957: (wt=12) 2062 [hyper,2052,1,6,eval] board([5,7,1,4,8]). given clause #1958: (wt=14) 2066 [hyper,2062,1,3,eval] board([2,5,7,1,4,8]). given clause #1959: (wt=16) 2067 [hyper,2066,1,7,eval] board([6,2,5,7,1,4,8]). given clause #1960: (wt=8) 2050 [hyper,1934,1,3,eval] board([2,4,8]). given clause #1961: (wt=10) 2068 [hyper,2050,1,8,eval] board([7,2,4,8]). given clause #1962: (wt=12) 2070 [hyper,2068,1,4,eval] board([3,7,2,4,8]). given clause #1963: (wt=14) 2072 [hyper,2070,1,2,eval] board([1,3,7,2,4,8]). given clause #1964: (wt=14) 2071 [hyper,2070,1,7,eval] board([6,3,7,2,4,8]). given clause #1965: (wt=12) 2069 [hyper,2068,1,6,eval] board([5,7,2,4,8]). given clause #1966: (wt=14) 2073 [hyper,2069,1,2,eval] board([1,5,7,2,4,8]). given clause #1967: (wt=8) 2049 [hyper,1934,1,8,eval] board([7,4,8]). given clause #1968: (wt=10) 2075 [hyper,2049,1,2,eval] board([1,7,4,8]). given clause #1969: (wt=12) 2077 [hyper,2075,1,4,eval] board([3,1,7,4,8]). given clause #1970: (wt=14) 2079 [hyper,2077,1,6,eval] board([5,3,1,7,4,8]). given clause #1971: (wt=14) 2078 [hyper,2077,1,7,eval] board([6,3,1,7,4,8]). given clause #1972: (wt=12) 2076 [hyper,2075,1,7,eval] board([6,1,7,4,8]). given clause #1973: (wt=14) 2080 [hyper,2076,1,3,eval] board([2,6,1,7,4,8]). given clause #1974: (wt=16) 2081 [hyper,2080,1,6,eval] board([5,2,6,1,7,4,8]). given clause #1975: (wt=10) 2074 [hyper,2049,1,4,eval] board([3,7,4,8]). given clause #1976: (wt=12) 2082 [hyper,2074,1,7,eval] board([6,3,7,4,8]). given clause #1977: (wt=14) 2083 [hyper,2082,1,3,eval] board([2,6,3,7,4,8]). given clause #1978: (wt=16) 2084 [hyper,2083,1,6,eval] board([5,2,6,3,7,4,8]). given clause #1979: (wt=6) 1933 [hyper,14,1,6,eval] board([5,8]). given clause #1980: (wt=8) 2088 [hyper,1933,1,2,eval] board([1,5,8]). given clause #1981: (wt=10) 2090 [hyper,2088,1,5,eval] board([4,1,5,8]). given clause #1982: (wt=12) 2092 [hyper,2090,1,7,eval] board([6,4,1,5,8]). given clause #1983: (wt=12) 2091 [hyper,2090,1,8,eval] board([7,4,1,5,8]). given clause #1984: (wt=10) 2089 [hyper,2088,1,7,eval] board([6,1,5,8]). given clause #1985: (wt=8) 2087 [hyper,1933,1,3,eval] board([2,5,8]). given clause #1986: (wt=10) 2094 [hyper,2087,1,5,eval] board([4,2,5,8]). given clause #1987: (wt=12) 2097 [hyper,2094,1,2,eval] board([1,4,2,5,8]). given clause #1988: (wt=14) 2098 [hyper,2097,1,8,eval] board([7,1,4,2,5,8]). given clause #1989: (wt=12) 2096 [hyper,2094,1,7,eval] board([6,4,2,5,8]). given clause #1990: (wt=12) 2095 [hyper,2094,1,8,eval] board([7,4,2,5,8]). given clause #1991: (wt=10) 2093 [hyper,2087,1,7,eval] board([6,2,5,8]). given clause #1992: (wt=12) 2100 [hyper,2093,1,2,eval] board([1,6,2,5,8]). given clause #1993: (wt=14) 2101 [hyper,2100,1,8,eval] board([7,1,6,2,5,8]). given clause #1994: (wt=16) 2102 [hyper,2101,1,5,eval] board([4,7,1,6,2,5,8]). given clause #1995: (wt=12) 2099 [hyper,2093,1,4,eval] board([3,6,2,5,8]). given clause #1996: (wt=14) 2103 [hyper,2099,1,8,eval] board([7,3,6,2,5,8]). given clause #1997: (wt=16) 2104 [hyper,2103,1,5,eval] board([4,7,3,6,2,5,8]). given clause #1998: (wt=8) 2086 [hyper,1933,1,4,eval] board([3,5,8]). given clause #1999: (wt=10) 2106 [hyper,2086,1,2,eval] board([1,3,5,8]). given clause #2000: (wt=12) 2108 [hyper,2106,1,7,eval] board([6,1,3,5,8]). given clause #2001: (wt=14) 2110 [hyper,2108,1,3,eval] board([2,6,1,3,5,8]). given clause #2002: (wt=14) 2109 [hyper,2108,1,5,eval] board([4,6,1,3,5,8]). given clause #2003: (wt=12) 2107 [hyper,2106,1,8,eval] board([7,1,3,5,8]). given clause #2004: (wt=14) 2112 [hyper,2107,1,3,eval] board([2,7,1,3,5,8]). given clause #2005: (wt=16) 2113 [hyper,2112,1,7,eval] board([6,2,7,1,3,5,8]). given clause #2006: (wt=14) 2111 [hyper,2107,1,5,eval] board([4,7,1,3,5,8]). given clause #2007: (wt=16) 2114 [hyper,2111,1,7,eval] board([6,4,7,1,3,5,8]). given clause #2008: (wt=10) 2105 [hyper,2086,1,7,eval] board([6,3,5,8]). given clause #2009: (wt=8) 2085 [hyper,1933,1,8,eval] board([7,5,8]). given clause #2010: (wt=10) 2117 [hyper,2085,1,2,eval] board([1,7,5,8]). given clause #2011: (wt=12) 2119 [hyper,2117,1,4,eval] board([3,1,7,5,8]). given clause #2012: (wt=14) 2120 [hyper,2119,1,7,eval] board([6,3,1,7,5,8]). given clause #2013: (wt=12) 2118 [hyper,2117,1,7,eval] board([6,1,7,5,8]). given clause #2014: (wt=14) 2121 [hyper,2118,1,3,eval] board([2,6,1,7,5,8]). given clause #2015: (wt=10) 2116 [hyper,2085,1,3,eval] board([2,7,5,8]). given clause #2016: (wt=12) 2122 [hyper,2116,1,7,eval] board([6,2,7,5,8]). given clause #2017: (wt=10) 2115 [hyper,2085,1,5,eval] board([4,7,5,8]). given clause #2018: (wt=12) 2124 [hyper,2115,1,2,eval] board([1,4,7,5,8]). given clause #2019: (wt=12) 2123 [hyper,2115,1,7,eval] board([6,4,7,5,8]). given clause #2020: (wt=6) 1932 [hyper,14,1,7,eval] board([6,8]). given clause #2021: (wt=8) 2128 [hyper,1932,1,2,eval] board([1,6,8]). given clause #2022: (wt=10) 2130 [hyper,2128,1,4,eval] board([3,1,6,8]). given clause #2023: (wt=12) 2132 [hyper,2130,1,6,eval] board([5,3,1,6,8]). given clause #2024: (wt=14) 2133 [hyper,2132,1,8,eval] board([7,5,3,1,6,8]). given clause #2025: (wt=16) 2134 [hyper,2133,1,5,eval] board([4,7,5,3,1,6,8]). given clause #2026: (wt=12) 2131 [hyper,2130,1,8,eval] board([7,3,1,6,8]). given clause #2027: (wt=10) 2129 [hyper,2128,1,8,eval] board([7,1,6,8]). given clause #2028: (wt=12) 2136 [hyper,2129,1,3,eval] board([2,7,1,6,8]). given clause #2029: (wt=12) 2135 [hyper,2129,1,6,eval] board([5,7,1,6,8]). given clause #2030: (wt=8) 2127 [hyper,1932,1,3,eval] board([2,6,8]). given clause #2031: (wt=10) 2137 [hyper,2127,1,8,eval] board([7,2,6,8]). given clause #2032: (wt=12) 2139 [hyper,2137,1,2,eval] board([1,7,2,6,8]). given clause #2033: (wt=14) 2140 [hyper,2139,1,5,eval] board([4,1,7,2,6,8]). given clause #2034: (wt=12) 2138 [hyper,2137,1,6,eval] board([5,7,2,6,8]). given clause #2035: (wt=14) 2141 [hyper,2138,1,2,eval] board([1,5,7,2,6,8]). given clause #2036: (wt=8) 2126 [hyper,1932,1,4,eval] board([3,6,8]). given clause #2037: (wt=10) 2143 [hyper,2126,1,2,eval] board([1,3,6,8]). given clause #2038: (wt=12) 2144 [hyper,2143,1,8,eval] board([7,1,3,6,8]). given clause #2039: (wt=14) 2146 [hyper,2144,1,5,eval] board([4,7,1,3,6,8]). given clause #2040: (wt=14) 2145 [hyper,2144,1,6,eval] board([5,7,1,3,6,8]). given clause #2041: (wt=10) 2142 [hyper,2126,1,8,eval] board([7,3,6,8]). given clause #2042: (wt=12) 2147 [hyper,2142,1,3,eval] board([2,7,3,6,8]). given clause #2043: (wt=14) 2148 [hyper,2147,1,5,eval] board([4,2,7,3,6,8]). given clause #2044: (wt=8) 2125 [hyper,1932,1,5,eval] board([4,6,8]). given clause #2045: (wt=10) 2151 [hyper,2125,1,2,eval] board([1,4,6,8]). given clause #2046: (wt=12) 2153 [hyper,2151,1,6,eval] board([5,1,4,6,8]). given clause #2047: (wt=12) 2152 [hyper,2151,1,8,eval] board([7,1,4,6,8]). given clause #2048: (wt=14) 2154 [hyper,2152,1,6,eval] board([5,7,1,4,6,8]). given clause #2049: (wt=16) 2155 [hyper,2154,1,4,eval] board([3,5,7,1,4,6,8]). given clause #2050: (wt=10) 2150 [hyper,2125,1,3,eval] board([2,4,6,8]). given clause #2051: (wt=12) 2157 [hyper,2150,1,6,eval] board([5,2,4,6,8]). given clause #2052: (wt=12) 2156 [hyper,2150,1,8,eval] board([7,2,4,6,8]). given clause #2053: (wt=14) 2158 [hyper,2156,1,6,eval] board([5,7,2,4,6,8]). given clause #2054: (wt=16) 2159 [hyper,2158,1,4,eval] board([3,5,7,2,4,6,8]). given clause #2055: (wt=10) 2149 [hyper,2125,1,8,eval] board([7,4,6,8]). given clause #2056: (wt=12) 2161 [hyper,2149,1,2,eval] board([1,7,4,6,8]). given clause #2057: (wt=12) 2160 [hyper,2149,1,6,eval] board([5,7,4,6,8]). Search stopped because sos empty. Search stopped because sos empty. ============ end of search ============ -------------- statistics ------------- clauses given 2057 clauses generated 2056 hyper_res generated 2056 demod & eval rewrites 0 clauses wt,lit,sk delete 0 tautologies deleted 0 clauses forward subsumed 0 (subsumed by sos) 0 unit deletions 0 factor simplifications 0 clauses kept 2056 new demodulators 0 empty clauses 92 clauses back demodulated 0 clauses back subsumed 0 usable size 2066 sos size 0 demodulators size 2 passive size 1 hot size 0 Kbytes malloced 1953 ----------- times (seconds) ----------- user CPU time 0.79 (0 hr, 0 min, 0 sec) system CPU time 0.03 (0 hr, 0 min, 0 sec) wall-clock time 1 (0 hr, 0 min, 1 sec) That finishes the proof of the theorem. Process 8995 finished Mon Aug 2 15:31:17 2004