----- Otter 3.3f, August 2004 -----
The process was started by mccune on gyro.thornwood,
Mon Aug  2 15:31:13 2004
The command was "../../bin/otter".  The process ID is 8892.

op(400,fx,~).
op(450,xfy,#).
op(450,xfy,|).
op(460,xfy,&).
op(470,xfx,-->).
op(480,xfx,<-->).
make_evaluable(_>_,$LGT(_,_)).
set(lex_order_vars).

lex([0,1,A,B,C,cin,a0,b0,a1,b1,a2,b2,a3,b3,_&_,_#_]).

list(demodulators).
1 [] x|y=x#y# (x&y).
2 [] ~x=1#x.
3 [] x-->y= ~x|y.
4 [] x<-->y= (x-->y)& (y-->x).
5 [] if(x,y,z)= (x-->y)& (~x-->z).
6 [] 0#x=x.
7 [] x#0=x.
8 [] x#x=0.
9 [] x#x#y=y.
10 [] 0&x=0.
11 [] x&0=0.
12 [] 1&x=x.
13 [] x&1=x.
14 [] x&x=x.
15 [] x&x&y=x&y.
16 [] x&y#z= (x&y)# (x&z).
17 [] x#y=y#x.
18 [] x#y#z=y#x#z.
19 [] x&y=y&x.
20 [] y&x&z=x&y&z.
end_of_list.
set(demod_inf).
clear(demod_history).
assign(demod_limit,-1).
set(sos_queue).
assign(max_given,3).

list(sos).
21 [] P1(A&B|C<--> (A&B)| (A&C)).
22 [] P2(~(~x| ~y)| ~(~x|y)<-->x).
23 [] P3((a2#b2#1# (a2&b2))# (a3#b3)#1# (a0#b0#1# (a0&b0)&1# (a0&b0)&a1#b1#1# (a1&b1)&1# (a1&b1)&a2#b2#1# (a2&b2)&1# (a2&b2)&cin#1)# (a0#b0#1# (a0&b0)&1# (a0&b0)&a1#b1#1# (a1&b1)&1# (a1&b1)&1# (a2&b2)&cin#1)# (a0#b0#1# (a0&b0)&1# (a0&b0)&1# (a1&b1)&a2#b2#1# (a2&b2)&1# (a2&b2)&cin#1)# (a0#b0#1# (a0&b0)&1# (a0&b0)&1# (a1&b1)&1# (a2&b2)&cin#1)# (a0#b0#1# (a0&b0)&a1#b1#1# (a1&b1)&1# (a1&b1)&1# (a2&b2))# (a0#b0#1# (a0&b0)&a1#b1#1# (a1&b1)&1# (a1&b1)&a2#b2#1# (a2&b2)&1# (a2&b2))# (a0#b0#1# (a0&b0)&1# (a1&b1)&1# (a2&b2))# (a0#b0#1# (a0&b0)&1# (a1&b1)&a2#b2#1# (a2&b2)&1# (a2&b2))# (1# (a0&b0)&a1#b1#1# (a1&b1)&1# (a1&b1)&a2#b2#1# (a2&b2)&1# (a2&b2)&cin#1)# (1# (a0&b0)&a1#b1#1# (a1&b1)&1# (a1&b1)&1# (a2&b2)&cin#1)# (1# (a0&b0)&1# (a1&b1)&a2#b2#1# (a2&b2)&1# (a2&b2)&cin#1)# (1# (a0&b0)&1# (a1&b1)&1# (a2&b2)&cin#1)# (a1#b1#1# (a1&b1)&1# (a2&b2))# (a1#b1#1# (a1&b1)&a2#b2#1# (a2&b2)&1# (a2&b2))).
end_of_list.
set(pretty_print).
lex dependent demodulator: 17 [] 
x#y=y#x.
lex dependent demodulator: 18 [] 
x#y#z=y#x#z.
lex dependent demodulator: 19 [] 
x&y=y&x.
lex dependent demodulator: 20 [] 
y&x&z=x&y&z.

======= end of input processing =======

=========== start of search ===========

Starting on level 1, last kept clause of level 0 is 23.

Starting on level 1, last kept clause of level 0 is 23.

given clause #1: (wt=14) 21 [] 
P1(A&B|C<--> (A&B)| (A&C)).
** KEPT (pick-wt=2): 24 [21,demod] 
P1(1).

given clause #2: (wt=15) 22 [] 
P2(~(~x| ~y)| ~(~x|y)<-->x).
** KEPT (pick-wt=2): 25 [22,demod] 
P2(1).

given clause #3: (wt=482) 23 [] 
P3(
    #(
        a2#b2#1# (a2&b2),
        #(
            a3#b3,
            #(
                1,
                #(
                    &(
                        a0#b0#1# (a0&b0),
                        &(
                            1# (a0&b0),
                            &(
                                a1#b1#1# (a1&b1),
                                1# (a1&b1)&a2#b2#1# (a2&b2)&1# (a2&b2)&cin#1
                            )
                        )
                    ),
                    #(
                        &(
                            a0#b0#1# (a0&b0),
                            &(
                                1# (a0&b0),
                                a1#b1#1# (a1&b1)&1# (a1&b1)&1# (a2&b2)&cin#1
                            )
                        ),
                        #(
                            &(
                                a0#b0#1# (a0&b0),
                                &(
                                    1# (a0&b0),
                                    &(
                                        1# (a1&b1),
                                        a2#b2#1# (a2&b2)&1# (a2&b2)&cin#1
                                    )
                                )
                            ),
                            #(
                                &(
                                    a0#b0#1# (a0&b0),
                                    1# (a0&b0)&1# (a1&b1)&1# (a2&b2)&cin#1
                                ),
                                #(
                                    &(
                                        a0#b0#1# (a0&b0),
                                        a1#b1#1# (a1&b1)&1# (a1&b1)&1# (a2&b2)
                                    ),
                                    #(
                                        &(
                                            a0#b0#1# (a0&b0),
                                            &(
                                                a1#b1#1# (a1&b1),
                                                &(
                                                    1# (a1&b1),
                                                    a2#b2#1# (a2&b2)&1# (a2&b2)
                                                )
                                            )
                                        ),
                                        #(
                                            &(
                                                a0#b0#1# (a0&b0),
                                                1# (a1&b1)&1# (a2&b2)
                                            ),
                                            #(
                                                &(
                                                    a0#b0#1# (a0&b0),
                                                    &(
                                                        1# (a1&b1),
                                                        &(
                                                            a2#b2#1# (a2&b2),
                                                            1# (a2&b2)
                                                        )
                                                    )
                                                ),
                                                #(
                                                    &(
                                                        1# (a0&b0),
                                                        &(
                                                            a1#b1#1# (a1&b1),
                                                            &(
                                                                1# (a1&b1),
                                                                &(
                                                                    #(
                                                                        a2,
                                                                        #(
                                                                            b2,
                                                                            #(
                                                                                1,
                                                                                &(
                                                                                    a2,
                                                                                    b2
                                                                                )
                                                                            )
                                                                        )
                                                                    ),
                                                                    &(
                                                                        #(
                                                                            1,
                                                                            &(
                                                                                a2,
                                                                                b2
                                                                            )
                                                                        ),
                                                                        cin#1
                                                                    )
                                                                )
                                                            )
                                                        )
                                                    ),
                                                    #(
                                                        &(
                                                            1# (a0&b0),
                                                            &(
                                                                #(
                                                                    a1,
                                                                    #(
                                                                        b1,
                                                                        #(
                                                                            1,
                                                                            &(
                                                                                a1,
                                                                                b1
                                                                            )
                                                                        )
                                                                    )
                                                                ),
                                                                &(
                                                                    1# (a1&b1),
                                                                    &(
                                                                        #(
                                                                            1,
                                                                            &(
                                                                                a2,
                                                                                b2
                                                                            )
                                                                        ),
                                                                        cin#1
                                                                    )
                                                                )
                                                            )
                                                        ),
                                                        #(
                                                            &(
                                                                1# (a0&b0),
                                                                &(
                                                                    1# (a1&b1),
                                                                    &(
                                                                        #(
                                                                            a2,
                                                                            #(
                                                                                b2,
                                                                                #(
                                                                                    1,
                                                                                    &(
                                                                                        a2,
                                                                                        b2
                                                                                    )
                                                                                )
                                                                            )
                                                                        ),
                                                                        &(
                                                                            #(
                                                                                1,
                                                                                &(
                                                                                    a2,
                                                                                    b2
                                                                                )
                                                                            ),
                                                                            #(
                                                                                cin,
                                                                                1
                                                                            )
                                                                        )
                                                                    )
                                                                )
                                                            ),
                                                            #(
                                                                &(
                                                                    1# (a0&b0),
                                                                    &(
                                                                        #(
                                                                            1,
                                                                            &(
                                                                                a1,
                                                                                b1
                                                                            )
                                                                        ),
                                                                        &(
                                                                            #(
                                                                                1,
                                                                                &(
                                                                                    a2,
                                                                                    b2
                                                                                )
                                                                            ),
                                                                            #(
                                                                                cin,
                                                                                1
                                                                            )
                                                                        )
                                                                    )
                                                                ),
                                                                #(
                                                                    &(
                                                                        #(
                                                                            a1,
                                                                            #(
                                                                                b1,
                                                                                #(
                                                                                    1,
                                                                                    &(
                                                                                        a1,
                                                                                        b1
                                                                                    )
                                                                                )
                                                                            )
                                                                        ),
                                                                        #(
                                                                            1,
                                                                            &(
                                                                                a2,
                                                                                b2
                                                                            )
                                                                        )
                                                                    ),
                                                                    &(
                                                                        #(
                                                                            a1,
                                                                            #(
                                                                                b1,
                                                                                #(
                                                                                    1,
                                                                                    &(
                                                                                        a1,
                                                                                        b1
                                                                                    )
                                                                                )
                                                                            )
                                                                        ),
                                                                        &(
                                                                            #(
                                                                                a2,
                                                                                #(
                                                                                    b2,
                                                                                    #(
                                                                                        1,
                                                                                        &(
                                                                                            a2,
                                                                                            b2
                                                                                        )
                                                                                    )
                                                                                )
                                                                            ),
                                                                            #(
                                                                                1,
                                                                                &(
                                                                                    a2,
                                                                                    b2
                                                                                )
                                                                            )
                                                                        )
                                                                    )
                                                                )
                                                            )
                                                        )
                                                    )
                                                )
                                            )
                                        )
                                    )
                                )
                            )
                        )
                    )
                )
            )
        )
    )
).

Search stopped by max_given option.

** KEPT (pick-wt=116): 26 [23,demod] 
P3(
    #(
        a3,
        #(
            b3,
            #(
                cin&a0&a1&a2,
                #(
                    cin&a0&a1&b2,
                    #(
                        cin&a0&b1&a2,
                        #(
                            cin&a0&b1&b2,
                            #(
                                cin&b0&a1&a2,
                                #(
                                    cin&b0&a1&b2,
                                    #(
                                        cin&b0&b1&a2,
                                        #(
                                            cin&b0&b1&b2,
                                            #(
                                                a0&b0&a1&a2,
                                                #(
                                                    a0&b0&a1&b2,
                                                    #(
                                                        a0&b0&b1&a2,
                                                        #(
                                                            a0&b0&b1&b2,
                                                            #(
                                                                a1&b1&a2,
                                                                #(
                                                                    a1&b1&b2,
                                                                    a2&b2
                                                                )
                                                            )
                                                        )
                                                    )
                                                )
                                            )
                                        )
                                    )
                                )
                            )
                        )
                    )
                )
            )
        )
    )
).

Search stopped by max_given option.

============ end of search ============

-------------- statistics -------------
clauses given                  3
clauses generated              3
  demod_inf generated          3
demod & eval rewrites      45084
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                   3
new demodulators               0
empty clauses                  0
clauses back demodulated       0
clauses back subsumed          0
usable size                    3
sos size                       3
demodulators size             20
passive size                   0
hot size                       0
Kbytes malloced              976

----------- times (seconds) -----------
user CPU time          0.17          (0 hr, 0 min, 0 sec)
system CPU time        0.00          (0 hr, 0 min, 0 sec)
wall-clock time        0             (0 hr, 0 min, 0 sec)

Process 8892 finished Mon Aug  2 15:31:13 2004