TSTP Solution File: PUZ040-1 by Faust---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Faust---1.0
% Problem : PUZ040-1 : TPTP v3.4.2. Bugfixed v2.6.0.
% Transfm : none
% Format : tptp
% Command : faust %s
% Computer : art10.cs.miami.edu
% Model : i686 i686
% CPU : Intel(R) Pentium(R) 4 CPU 2.80GHz @ 2793MHz
% Memory : 1003MB
% OS : Linux 2.6.17-1.2142_FC4
% CPULimit : 600s
% DateTime : Wed May 6 15:12:37 EDT 2009
% Result : Unsatisfiable 24.0s
% Output : Refutation 24.0s
% Verified :
% SZS Type : Refutation
% Derivation depth : 21
% Number of leaves : 14
% Syntax : Number of formulae : 48 ( 24 unt; 0 def)
% Number of atoms : 72 ( 0 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 50 ( 26 ~; 24 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 5 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-12 aty)
% Number of functors : 14 ( 14 usr; 1 con; 0-2 aty)
% Number of variables : 310 ( 11 sgn 155 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Faust---1.0 format not known, defaulting to TPTP
fof(goal_state,plain,
! [A,B,C,D,E,F,G,H,I,J,K] : ~ state(bb(o,o),A,B,C,D,E,F,G,H,I,J,K),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/PUZ/PUZ040-1.tptp',unknown),
[] ).
cnf(155667288,plain,
~ state(bb(o,o),A,B,C,D,E,F,G,H,I,J,K),
inference(rewrite,[status(thm)],[goal_state]),
[] ).
fof(b_left,plain,
! [A,B,C,D,E,F,G,H,I,J,K] :
( ~ state(bb(A,s(B)),C,D,E,F,G,H,I,J,K,e1(A,B),e2(s(A),B))
| state(bb(A,B),C,D,E,F,G,H,I,J,K,e1(A,s(s(B))),e2(s(A),s(s(B)))) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/PUZ/PUZ040-1.tptp',unknown),
[] ).
cnf(155637040,plain,
( ~ state(bb(A,s(B)),C,D,E,F,G,H,I,J,K,e1(A,B),e2(s(A),B))
| state(bb(A,B),C,D,E,F,G,H,I,J,K,e1(A,s(s(B))),e2(s(A),s(s(B)))) ),
inference(rewrite,[status(thm)],[b_left]),
[] ).
fof(swap_blanks,plain,
! [A,B,C,D,E,F,G,H,I,J,K,L,M,N] :
( ~ state(A,B,C,D,E,F,G,H,I,J,e1(K,L),e2(M,N))
| state(A,B,C,D,E,F,G,H,I,J,e1(M,N),e2(K,L)) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/PUZ/PUZ040-1.tptp',unknown),
[] ).
cnf(155658440,plain,
( ~ state(A,B,C,D,E,F,G,H,I,J,e1(K,L),e2(M,N))
| state(A,B,C,D,E,F,G,H,I,J,e1(M,N),e2(K,L)) ),
inference(rewrite,[status(thm)],[swap_blanks]),
[] ).
fof(v1_down,plain,
! [A,B,C,D,E,F,G,H,I,J,K,L] :
( ~ state(A,v1(B,C),D,E,F,G,H,I,J,K,e1(s(s(B)),C),L)
| state(A,v1(s(B),C),D,E,F,G,H,I,J,K,e1(B,C),L) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/PUZ/PUZ040-1.tptp',unknown),
[] ).
cnf(155472152,plain,
( ~ state(A,v1(B,C),D,E,F,G,H,I,J,K,e1(s(s(B)),C),L)
| state(A,v1(s(B),C),D,E,F,G,H,I,J,K,e1(B,C),L) ),
inference(rewrite,[status(thm)],[v1_down]),
[] ).
fof(s1_down,plain,
! [A,B,C,D,E,F,G,H,I,J,K,L] :
( ~ state(A,B,C,D,E,F,s1(G,H),I,J,K,e1(s(G),H),L)
| state(A,B,C,D,E,F,s1(s(G),H),I,J,K,e1(G,H),L) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/PUZ/PUZ040-1.tptp',unknown),
[] ).
cnf(155342352,plain,
( ~ state(A,B,C,D,E,F,s1(G,H),I,J,K,e1(s(G),H),L)
| state(A,B,C,D,E,F,s1(s(G),H),I,J,K,e1(G,H),L) ),
inference(rewrite,[status(thm)],[s1_down]),
[] ).
fof(v3_right,plain,
! [A,B,C,D,E,F,G,H,I,J,K] :
( ~ state(A,B,C,v3(D,E),F,G,H,I,J,K,e1(D,s(E)),e2(s(D),s(E)))
| state(A,B,C,v3(D,s(E)),F,G,H,I,J,K,e1(D,E),e2(s(D),E)) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/PUZ/PUZ040-1.tptp',unknown),
[] ).
cnf(155523264,plain,
( ~ state(A,B,C,v3(D,E),F,G,H,I,J,K,e1(D,s(E)),e2(s(D),s(E)))
| state(A,B,C,v3(D,s(E)),F,G,H,I,J,K,e1(D,E),e2(s(D),E)) ),
inference(rewrite,[status(thm)],[v3_right]),
[] ).
fof(s3_up,plain,
! [A,B,C,D,E,F,G,H,I,J,K,L] :
( ~ state(A,B,C,D,E,F,G,H,s3(s(I),J),K,e1(I,J),L)
| state(A,B,C,D,E,F,G,H,s3(I,J),K,e1(s(I),J),L) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/PUZ/PUZ040-1.tptp',unknown),
[] ).
cnf(155415048,plain,
( ~ state(A,B,C,D,E,F,G,H,s3(s(I),J),K,e1(I,J),L)
| state(A,B,C,D,E,F,G,H,s3(I,J),K,e1(s(I),J),L) ),
inference(rewrite,[status(thm)],[s3_up]),
[] ).
fof(s1_left,plain,
! [A,B,C,D,E,F,G,H,I,J,K,L] :
( ~ state(A,B,C,D,E,F,s1(G,s(H)),I,J,K,e1(G,H),L)
| state(A,B,C,D,E,F,s1(G,H),I,J,K,e1(G,s(H)),L) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/PUZ/PUZ040-1.tptp',unknown),
[] ).
cnf(155336680,plain,
( ~ state(A,B,C,D,E,F,s1(G,s(H)),I,J,K,e1(G,H),L)
| state(A,B,C,D,E,F,s1(G,H),I,J,K,e1(G,s(H)),L) ),
inference(rewrite,[status(thm)],[s1_left]),
[] ).
fof(v1_up,plain,
! [A,B,C,D,E,F,G,H,I,J,K,L] :
( ~ state(A,v1(s(B),C),D,E,F,G,H,I,J,K,e1(B,C),L)
| state(A,v1(B,C),D,E,F,G,H,I,J,K,e1(s(s(B)),C),L) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/PUZ/PUZ040-1.tptp',unknown),
[] ).
cnf(155482360,plain,
( ~ state(A,v1(s(B),C),D,E,F,G,H,I,J,K,e1(B,C),L)
| state(A,v1(B,C),D,E,F,G,H,I,J,K,e1(s(s(B)),C),L) ),
inference(rewrite,[status(thm)],[v1_up]),
[] ).
fof(s1_up,plain,
! [A,B,C,D,E,F,G,H,I,J,K,L] :
( ~ state(A,B,C,D,E,F,s1(s(G),H),I,J,K,e1(G,H),L)
| state(A,B,C,D,E,F,s1(G,H),I,J,K,e1(s(G),H),L) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/PUZ/PUZ040-1.tptp',unknown),
[] ).
cnf(155352280,plain,
( ~ state(A,B,C,D,E,F,s1(s(G),H),I,J,K,e1(G,H),L)
| state(A,B,C,D,E,F,s1(G,H),I,J,K,e1(s(G),H),L) ),
inference(rewrite,[status(thm)],[s1_up]),
[] ).
fof(h_right,plain,
! [A,B,C,D,E,F,G,H,I,J,K,L] :
( ~ state(A,B,C,D,E,h(F,G),H,I,J,K,e1(F,s(s(G))),L)
| state(A,B,C,D,E,h(F,s(G)),H,I,J,K,e1(F,G),L) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/PUZ/PUZ040-1.tptp',unknown),
[] ).
cnf(155589976,plain,
( ~ state(A,B,C,D,E,h(F,G),H,I,J,K,e1(F,s(s(G))),L)
| state(A,B,C,D,E,h(F,s(G)),H,I,J,K,e1(F,G),L) ),
inference(rewrite,[status(thm)],[h_right]),
[] ).
fof(v4_down,plain,
! [A,B,C,D,E,F,G,H,I,J,K,L] :
( ~ state(A,B,C,D,v4(E,F),G,H,I,J,K,e1(s(s(E)),F),L)
| state(A,B,C,D,v4(s(E),F),G,H,I,J,K,e1(E,F),L) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/PUZ/PUZ040-1.tptp',unknown),
[] ).
cnf(155574640,plain,
( ~ state(A,B,C,D,v4(E,F),G,H,I,J,K,e1(s(s(E)),F),L)
| state(A,B,C,D,v4(s(E),F),G,H,I,J,K,e1(E,F),L) ),
inference(rewrite,[status(thm)],[v4_down]),
[] ).
fof(v3_down,plain,
! [A,B,C,D,E,F,G,H,I,J,K,L] :
( ~ state(A,B,C,v3(D,E),F,G,H,I,J,K,e1(s(s(D)),E),L)
| state(A,B,C,v3(s(D),E),F,G,H,I,J,K,e1(D,E),L) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/PUZ/PUZ040-1.tptp',unknown),
[] ).
cnf(155539208,plain,
( ~ state(A,B,C,v3(D,E),F,G,H,I,J,K,e1(s(s(D)),E),L)
| state(A,B,C,v3(s(D),E),F,G,H,I,J,K,e1(D,E),L) ),
inference(rewrite,[status(thm)],[v3_down]),
[] ).
fof(initial_state,plain,
state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(s(o)))),o),e2(s(s(s(s(o)))),s(s(s(o))))),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/PUZ/PUZ040-1.tptp',unknown),
[] ).
cnf(155666832,plain,
state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(s(o)))),o),e2(s(s(s(s(o)))),s(s(s(o))))),
inference(rewrite,[status(thm)],[initial_state]),
[] ).
cnf(173397200,plain,
state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(o)),o),e2(s(s(s(s(o)))),s(s(s(o))))),
inference(resolution,[status(thm)],[155539208,155666832]),
[] ).
cnf(182855752,plain,
state(bb(o,s(o)),v1(s(o),o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(o,o),e2(s(s(s(s(o)))),s(s(s(o))))),
inference(resolution,[status(thm)],[155472152,173397200]),
[] ).
cnf(182868032,plain,
state(bb(o,s(o)),v1(s(o),o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(s(o)))),s(s(s(o)))),e2(o,o)),
inference(resolution,[status(thm)],[155658440,182855752]),
[] ).
cnf(183008416,plain,
state(bb(o,s(o)),v1(s(o),o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(o)),s(s(s(o)))),e2(o,o)),
inference(resolution,[status(thm)],[155574640,182868032]),
[] ).
cnf(183124720,plain,
state(bb(o,s(o)),v1(s(o),o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(s(o))),s1(s(s(s(o))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(o)),s(o)),e2(o,o)),
inference(resolution,[status(thm)],[155589976,183008416]),
[] ).
cnf(183232784,plain,
state(bb(o,s(o)),v1(s(o),o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(s(o))),s1(s(s(o)),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(o))),s(o)),e2(o,o)),
inference(resolution,[status(thm)],[155352280,183124720]),
[] ).
cnf(183444784,plain,
state(bb(o,s(o)),v1(s(o),o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(s(o))),s1(s(s(o)),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(o))),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(s(o)))),s(o)),e2(o,o)),
inference(resolution,[status(thm)],[155415048,183232784]),
[] ).
cnf(183552856,plain,
state(bb(o,s(o)),v1(s(o),o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(s(o))),s1(s(s(o)),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(o))),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(o,o),e2(s(s(s(s(o)))),s(o))),
inference(resolution,[status(thm)],[155658440,183444784]),
[] ).
cnf(183788072,plain,
state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(s(o))),s1(s(s(o)),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(o))),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(o)),o),e2(s(s(s(s(o)))),s(o))),
inference(resolution,[status(thm)],[155482360,183552856]),
[] ).
cnf(185388616,plain,
state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(s(o))),s1(s(s(o)),o),s2(s(s(s(o))),s(s(o))),s3(s(s(s(o))),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(o)),s(o)),e2(s(s(s(s(o)))),s(o))),
inference(resolution,[status(thm)],[155336680,183788072]),
[] ).
cnf(190415592,plain,
state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(s(o))),s1(s(s(o)),o),s2(s(s(s(o))),s(s(o))),s3(s(s(o)),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(o))),s(o)),e2(s(s(s(s(o)))),s(o))),
inference(resolution,[status(thm)],[155415048,185388616]),
[] ).
cnf(204004928,plain,
state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),s(o)),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(s(o))),s1(s(s(o)),o),s2(s(s(s(o))),s(s(o))),s3(s(s(o)),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(o))),o),e2(s(s(s(s(o)))),o)),
inference(resolution,[status(thm)],[155523264,190415592]),
[] ).
cnf(222363904,plain,
state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),s(o)),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(s(o))),s1(s(s(s(o))),o),s2(s(s(s(o))),s(s(o))),s3(s(s(o)),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(o)),o),e2(s(s(s(s(o)))),o)),
inference(resolution,[status(thm)],[155342352,204004928]),
[] ).
cnf(235403336,plain,
state(bb(o,s(o)),v1(s(o),o),v2(o,s(s(s(o)))),v3(s(s(s(o))),s(o)),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(s(o))),s1(s(s(s(o))),o),s2(s(s(s(o))),s(s(o))),s3(s(s(o)),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(o,o),e2(s(s(s(s(o)))),o)),
inference(resolution,[status(thm)],[155472152,222363904]),
[] ).
cnf(240245968,plain,
state(bb(o,s(o)),v1(s(o),o),v2(o,s(s(s(o)))),v3(s(s(s(o))),s(o)),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(s(o))),s1(s(s(s(o))),o),s2(s(s(s(o))),s(s(o))),s3(s(s(o)),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(s(o)))),o),e2(o,o)),
inference(resolution,[status(thm)],[155658440,235403336]),
[] ).
cnf(242672888,plain,
state(bb(o,s(o)),v1(s(o),o),v2(o,s(s(s(o)))),v3(s(s(s(o))),s(o)),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(s(o))),s1(s(s(s(s(o)))),o),s2(s(s(s(o))),s(s(o))),s3(s(s(o)),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(o))),o),e2(o,o)),
inference(resolution,[status(thm)],[155342352,240245968]),
[] ).
cnf(242822392,plain,
state(bb(o,s(o)),v1(s(s(o)),o),v2(o,s(s(s(o)))),v3(s(s(s(o))),s(o)),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(s(o))),s1(s(s(s(s(o)))),o),s2(s(s(s(o))),s(s(o))),s3(s(s(o)),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(s(o),o),e2(o,o)),
inference(resolution,[status(thm)],[155472152,242672888]),
[] ).
cnf(242841632,plain,
state(bb(o,s(o)),v1(s(s(o)),o),v2(o,s(s(s(o)))),v3(s(s(s(o))),s(o)),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(s(o))),s1(s(s(s(s(o)))),o),s2(s(s(s(o))),s(s(o))),s3(s(s(o)),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(o,o),e2(s(o),o)),
inference(resolution,[status(thm)],[155658440,242822392]),
[] ).
cnf(207811224,plain,
state(bb(o,o),v1(s(s(o)),o),v2(o,s(s(s(o)))),v3(s(s(s(o))),s(o)),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(s(o))),s1(s(s(s(s(o)))),o),s2(s(s(s(o))),s(s(o))),s3(s(s(o)),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(o,s(s(o))),e2(s(o),s(s(o)))),
inference(resolution,[status(thm)],[155637040,242841632]),
[] ).
cnf(contradiction,plain,
$false,
inference(resolution,[status(thm)],[155667288,207811224]),
[] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% Proof found in: 24 seconds
% START OF PROOF SEQUENCE
% fof(goal_state,plain,(~state(bb(o,o),A,B,C,D,E,F,G,H,I,J,K)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/PUZ/PUZ040-1.tptp',unknown),[]).
%
% cnf(155667288,plain,(~state(bb(o,o),A,B,C,D,E,F,G,H,I,J,K)),inference(rewrite,[status(thm)],[goal_state]),[]).
%
% fof(b_left,plain,(~state(bb(A,s(B)),C,D,E,F,G,H,I,J,K,e1(A,B),e2(s(A),B))|state(bb(A,B),C,D,E,F,G,H,I,J,K,e1(A,s(s(B))),e2(s(A),s(s(B))))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/PUZ/PUZ040-1.tptp',unknown),[]).
%
% cnf(155637040,plain,(~state(bb(A,s(B)),C,D,E,F,G,H,I,J,K,e1(A,B),e2(s(A),B))|state(bb(A,B),C,D,E,F,G,H,I,J,K,e1(A,s(s(B))),e2(s(A),s(s(B))))),inference(rewrite,[status(thm)],[b_left]),[]).
%
% fof(swap_blanks,plain,(~state(A,B,C,D,E,F,G,H,I,J,e1(K,L),e2(M,N))|state(A,B,C,D,E,F,G,H,I,J,e1(M,N),e2(K,L))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/PUZ/PUZ040-1.tptp',unknown),[]).
%
% cnf(155658440,plain,(~state(A,B,C,D,E,F,G,H,I,J,e1(K,L),e2(M,N))|state(A,B,C,D,E,F,G,H,I,J,e1(M,N),e2(K,L))),inference(rewrite,[status(thm)],[swap_blanks]),[]).
%
% fof(v1_down,plain,(~state(A,v1(B,C),D,E,F,G,H,I,J,K,e1(s(s(B)),C),L)|state(A,v1(s(B),C),D,E,F,G,H,I,J,K,e1(B,C),L)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/PUZ/PUZ040-1.tptp',unknown),[]).
%
% cnf(155472152,plain,(~state(A,v1(B,C),D,E,F,G,H,I,J,K,e1(s(s(B)),C),L)|state(A,v1(s(B),C),D,E,F,G,H,I,J,K,e1(B,C),L)),inference(rewrite,[status(thm)],[v1_down]),[]).
%
% fof(s1_down,plain,(~state(A,B,C,D,E,F,s1(G,H),I,J,K,e1(s(G),H),L)|state(A,B,C,D,E,F,s1(s(G),H),I,J,K,e1(G,H),L)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/PUZ/PUZ040-1.tptp',unknown),[]).
%
% cnf(155342352,plain,(~state(A,B,C,D,E,F,s1(G,H),I,J,K,e1(s(G),H),L)|state(A,B,C,D,E,F,s1(s(G),H),I,J,K,e1(G,H),L)),inference(rewrite,[status(thm)],[s1_down]),[]).
%
% fof(v3_right,plain,(~state(A,B,C,v3(D,E),F,G,H,I,J,K,e1(D,s(E)),e2(s(D),s(E)))|state(A,B,C,v3(D,s(E)),F,G,H,I,J,K,e1(D,E),e2(s(D),E))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/PUZ/PUZ040-1.tptp',unknown),[]).
%
% cnf(155523264,plain,(~state(A,B,C,v3(D,E),F,G,H,I,J,K,e1(D,s(E)),e2(s(D),s(E)))|state(A,B,C,v3(D,s(E)),F,G,H,I,J,K,e1(D,E),e2(s(D),E))),inference(rewrite,[status(thm)],[v3_right]),[]).
%
% fof(s3_up,plain,(~state(A,B,C,D,E,F,G,H,s3(s(I),J),K,e1(I,J),L)|state(A,B,C,D,E,F,G,H,s3(I,J),K,e1(s(I),J),L)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/PUZ/PUZ040-1.tptp',unknown),[]).
%
% cnf(155415048,plain,(~state(A,B,C,D,E,F,G,H,s3(s(I),J),K,e1(I,J),L)|state(A,B,C,D,E,F,G,H,s3(I,J),K,e1(s(I),J),L)),inference(rewrite,[status(thm)],[s3_up]),[]).
%
% fof(s1_left,plain,(~state(A,B,C,D,E,F,s1(G,s(H)),I,J,K,e1(G,H),L)|state(A,B,C,D,E,F,s1(G,H),I,J,K,e1(G,s(H)),L)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/PUZ/PUZ040-1.tptp',unknown),[]).
%
% cnf(155336680,plain,(~state(A,B,C,D,E,F,s1(G,s(H)),I,J,K,e1(G,H),L)|state(A,B,C,D,E,F,s1(G,H),I,J,K,e1(G,s(H)),L)),inference(rewrite,[status(thm)],[s1_left]),[]).
%
% fof(v1_up,plain,(~state(A,v1(s(B),C),D,E,F,G,H,I,J,K,e1(B,C),L)|state(A,v1(B,C),D,E,F,G,H,I,J,K,e1(s(s(B)),C),L)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/PUZ/PUZ040-1.tptp',unknown),[]).
%
% cnf(155482360,plain,(~state(A,v1(s(B),C),D,E,F,G,H,I,J,K,e1(B,C),L)|state(A,v1(B,C),D,E,F,G,H,I,J,K,e1(s(s(B)),C),L)),inference(rewrite,[status(thm)],[v1_up]),[]).
%
% fof(s1_up,plain,(~state(A,B,C,D,E,F,s1(s(G),H),I,J,K,e1(G,H),L)|state(A,B,C,D,E,F,s1(G,H),I,J,K,e1(s(G),H),L)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/PUZ/PUZ040-1.tptp',unknown),[]).
%
% cnf(155352280,plain,(~state(A,B,C,D,E,F,s1(s(G),H),I,J,K,e1(G,H),L)|state(A,B,C,D,E,F,s1(G,H),I,J,K,e1(s(G),H),L)),inference(rewrite,[status(thm)],[s1_up]),[]).
%
% fof(h_right,plain,(~state(A,B,C,D,E,h(F,G),H,I,J,K,e1(F,s(s(G))),L)|state(A,B,C,D,E,h(F,s(G)),H,I,J,K,e1(F,G),L)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/PUZ/PUZ040-1.tptp',unknown),[]).
%
% cnf(155589976,plain,(~state(A,B,C,D,E,h(F,G),H,I,J,K,e1(F,s(s(G))),L)|state(A,B,C,D,E,h(F,s(G)),H,I,J,K,e1(F,G),L)),inference(rewrite,[status(thm)],[h_right]),[]).
%
% fof(v4_down,plain,(~state(A,B,C,D,v4(E,F),G,H,I,J,K,e1(s(s(E)),F),L)|state(A,B,C,D,v4(s(E),F),G,H,I,J,K,e1(E,F),L)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/PUZ/PUZ040-1.tptp',unknown),[]).
%
% cnf(155574640,plain,(~state(A,B,C,D,v4(E,F),G,H,I,J,K,e1(s(s(E)),F),L)|state(A,B,C,D,v4(s(E),F),G,H,I,J,K,e1(E,F),L)),inference(rewrite,[status(thm)],[v4_down]),[]).
%
% fof(v3_down,plain,(~state(A,B,C,v3(D,E),F,G,H,I,J,K,e1(s(s(D)),E),L)|state(A,B,C,v3(s(D),E),F,G,H,I,J,K,e1(D,E),L)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/PUZ/PUZ040-1.tptp',unknown),[]).
%
% cnf(155539208,plain,(~state(A,B,C,v3(D,E),F,G,H,I,J,K,e1(s(s(D)),E),L)|state(A,B,C,v3(s(D),E),F,G,H,I,J,K,e1(D,E),L)),inference(rewrite,[status(thm)],[v3_down]),[]).
%
% fof(initial_state,plain,(state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(s(o)))),o),e2(s(s(s(s(o)))),s(s(s(o)))))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/PUZ/PUZ040-1.tptp',unknown),[]).
%
% cnf(155666832,plain,(state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(s(o)))),o),e2(s(s(s(s(o)))),s(s(s(o)))))),inference(rewrite,[status(thm)],[initial_state]),[]).
%
% cnf(173397200,plain,(state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(o)),o),e2(s(s(s(s(o)))),s(s(s(o)))))),inference(resolution,[status(thm)],[155539208,155666832]),[]).
%
% cnf(182855752,plain,(state(bb(o,s(o)),v1(s(o),o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(o,o),e2(s(s(s(s(o)))),s(s(s(o)))))),inference(resolution,[status(thm)],[155472152,173397200]),[]).
%
% cnf(182868032,plain,(state(bb(o,s(o)),v1(s(o),o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(s(o)))),s(s(s(o)))),e2(o,o))),inference(resolution,[status(thm)],[155658440,182855752]),[]).
%
% cnf(183008416,plain,(state(bb(o,s(o)),v1(s(o),o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(o)),s(s(s(o)))),e2(o,o))),inference(resolution,[status(thm)],[155574640,182868032]),[]).
%
% cnf(183124720,plain,(state(bb(o,s(o)),v1(s(o),o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(s(o))),s1(s(s(s(o))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(o)),s(o)),e2(o,o))),inference(resolution,[status(thm)],[155589976,183008416]),[]).
%
% cnf(183232784,plain,(state(bb(o,s(o)),v1(s(o),o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(s(o))),s1(s(s(o)),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(o))),s(o)),e2(o,o))),inference(resolution,[status(thm)],[155352280,183124720]),[]).
%
% cnf(183444784,plain,(state(bb(o,s(o)),v1(s(o),o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(s(o))),s1(s(s(o)),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(o))),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(s(o)))),s(o)),e2(o,o))),inference(resolution,[status(thm)],[155415048,183232784]),[]).
%
% cnf(183552856,plain,(state(bb(o,s(o)),v1(s(o),o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(s(o))),s1(s(s(o)),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(o))),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(o,o),e2(s(s(s(s(o)))),s(o)))),inference(resolution,[status(thm)],[155658440,183444784]),[]).
%
% cnf(183788072,plain,(state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(s(o))),s1(s(s(o)),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(o))),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(o)),o),e2(s(s(s(s(o)))),s(o)))),inference(resolution,[status(thm)],[155482360,183552856]),[]).
%
% cnf(185388616,plain,(state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(s(o))),s1(s(s(o)),o),s2(s(s(s(o))),s(s(o))),s3(s(s(s(o))),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(o)),s(o)),e2(s(s(s(s(o)))),s(o)))),inference(resolution,[status(thm)],[155336680,183788072]),[]).
%
% cnf(190415592,plain,(state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(s(o))),s1(s(s(o)),o),s2(s(s(s(o))),s(s(o))),s3(s(s(o)),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(o))),s(o)),e2(s(s(s(s(o)))),s(o)))),inference(resolution,[status(thm)],[155415048,185388616]),[]).
%
% cnf(204004928,plain,(state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),s(o)),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(s(o))),s1(s(s(o)),o),s2(s(s(s(o))),s(s(o))),s3(s(s(o)),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(o))),o),e2(s(s(s(s(o)))),o))),inference(resolution,[status(thm)],[155523264,190415592]),[]).
%
% cnf(222363904,plain,(state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),s(o)),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(s(o))),s1(s(s(s(o))),o),s2(s(s(s(o))),s(s(o))),s3(s(s(o)),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(o)),o),e2(s(s(s(s(o)))),o))),inference(resolution,[status(thm)],[155342352,204004928]),[]).
%
% cnf(235403336,plain,(state(bb(o,s(o)),v1(s(o),o),v2(o,s(s(s(o)))),v3(s(s(s(o))),s(o)),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(s(o))),s1(s(s(s(o))),o),s2(s(s(s(o))),s(s(o))),s3(s(s(o)),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(o,o),e2(s(s(s(s(o)))),o))),inference(resolution,[status(thm)],[155472152,222363904]),[]).
%
% cnf(240245968,plain,(state(bb(o,s(o)),v1(s(o),o),v2(o,s(s(s(o)))),v3(s(s(s(o))),s(o)),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(s(o))),s1(s(s(s(o))),o),s2(s(s(s(o))),s(s(o))),s3(s(s(o)),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(s(o)))),o),e2(o,o))),inference(resolution,[status(thm)],[155658440,235403336]),[]).
%
% cnf(242672888,plain,(state(bb(o,s(o)),v1(s(o),o),v2(o,s(s(s(o)))),v3(s(s(s(o))),s(o)),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(s(o))),s1(s(s(s(s(o)))),o),s2(s(s(s(o))),s(s(o))),s3(s(s(o)),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(o))),o),e2(o,o))),inference(resolution,[status(thm)],[155342352,240245968]),[]).
%
% cnf(242822392,plain,(state(bb(o,s(o)),v1(s(s(o)),o),v2(o,s(s(s(o)))),v3(s(s(s(o))),s(o)),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(s(o))),s1(s(s(s(s(o)))),o),s2(s(s(s(o))),s(s(o))),s3(s(s(o)),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(s(o),o),e2(o,o))),inference(resolution,[status(thm)],[155472152,242672888]),[]).
%
% cnf(242841632,plain,(state(bb(o,s(o)),v1(s(s(o)),o),v2(o,s(s(s(o)))),v3(s(s(s(o))),s(o)),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(s(o))),s1(s(s(s(s(o)))),o),s2(s(s(s(o))),s(s(o))),s3(s(s(o)),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(o,o),e2(s(o),o))),inference(resolution,[status(thm)],[155658440,242822392]),[]).
%
% cnf(207811224,plain,(state(bb(o,o),v1(s(s(o)),o),v2(o,s(s(s(o)))),v3(s(s(s(o))),s(o)),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(s(o))),s1(s(s(s(s(o)))),o),s2(s(s(s(o))),s(s(o))),s3(s(s(o)),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(o,s(s(o))),e2(s(o),s(s(o))))),inference(resolution,[status(thm)],[155637040,242841632]),[]).
%
% cnf(contradiction,plain,$false,inference(resolution,[status(thm)],[155667288,207811224]),[]).
%
% END OF PROOF SEQUENCE
%
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