TSTP Solution File: PUZ039-1 by Faust---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Faust---1.0
% Problem : PUZ039-1 : TPTP v3.4.2. Bugfixed v2.6.0.
% Transfm : none
% Format : tptp
% Command : faust %s
% Computer : art03.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 15:12:35 EDT 2009
% Result : Unsatisfiable 524.6s
% Output : Refutation 524.6s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 10
% Syntax : Number of formulae : 30 ( 14 unt; 0 def)
% Number of atoms : 46 ( 0 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 34 ( 18 ~; 16 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 6 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 : 216 ( 11 sgn 108 !; 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(A,B,C,D,v4(s(s(o)),s(s(o))),E,F,G,H,I,J,K),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/PUZ/PUZ039-1.tptp',unknown),
[] ).
cnf(145659440,plain,
~ state(A,B,C,D,v4(s(s(o)),s(s(o))),E,F,G,H,I,J,K),
inference(rewrite,[status(thm)],[goal_state]),
[] ).
fof(v4_left,plain,
! [A,B,C,D,E,F,G,H,I,J,K] :
( ~ state(A,B,C,D,v4(E,s(F)),G,H,I,J,K,e1(E,F),e2(s(E),F))
| state(A,B,C,D,v4(E,F),G,H,I,J,K,e1(E,s(F)),e2(s(E),s(F))) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/PUZ/PUZ039-1.tptp',unknown),
[] ).
cnf(145557008,plain,
( ~ state(A,B,C,D,v4(E,s(F)),G,H,I,J,K,e1(E,F),e2(s(E),F))
| state(A,B,C,D,v4(E,F),G,H,I,J,K,e1(E,s(F)),e2(s(E),s(F))) ),
inference(rewrite,[status(thm)],[v4_left]),
[] ).
fof(h_left,plain,
! [A,B,C,D,E,F,G,H,I,J,K,L] :
( ~ state(A,B,C,D,E,h(F,s(G)),H,I,J,K,e1(F,G),L)
| state(A,B,C,D,E,h(F,G),H,I,J,K,e1(F,s(s(G))),L) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/PUZ/PUZ039-1.tptp',unknown),
[] ).
cnf(145592704,plain,
( ~ state(A,B,C,D,E,h(F,s(G)),H,I,J,K,e1(F,G),L)
| state(A,B,C,D,E,h(F,G),H,I,J,K,e1(F,s(s(G))),L) ),
inference(rewrite,[status(thm)],[h_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/PUZ039-1.tptp',unknown),
[] ).
cnf(145474368,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(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/PUZ039-1.tptp',unknown),
[] ).
cnf(145650448,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(s2_down,plain,
! [A,B,C,D,E,F,G,H,I,J,K,L] :
( ~ state(A,B,C,D,E,F,G,s2(H,I),J,K,e1(s(H),I),L)
| state(A,B,C,D,E,F,G,s2(s(H),I),J,K,e1(H,I),L) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/PUZ/PUZ039-1.tptp',unknown),
[] ).
cnf(145365784,plain,
( ~ state(A,B,C,D,E,F,G,s2(H,I),J,K,e1(s(H),I),L)
| state(A,B,C,D,E,F,G,s2(s(H),I),J,K,e1(H,I),L) ),
inference(rewrite,[status(thm)],[s2_down]),
[] ).
fof(s4_right,plain,
! [A,B,C,D,E,F,G,H,I,J,K,L] :
( ~ state(A,B,C,D,E,F,G,H,I,s4(J,K),e1(J,s(K)),L)
| state(A,B,C,D,E,F,G,H,I,s4(J,s(K)),e1(J,K),L) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/PUZ/PUZ039-1.tptp',unknown),
[] ).
cnf(145416472,plain,
( ~ state(A,B,C,D,E,F,G,H,I,s4(J,K),e1(J,s(K)),L)
| state(A,B,C,D,E,F,G,H,I,s4(J,s(K)),e1(J,K),L) ),
inference(rewrite,[status(thm)],[s4_right]),
[] ).
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/PUZ039-1.tptp',unknown),
[] ).
cnf(145464160,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(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/PUZ039-1.tptp',unknown),
[] ).
cnf(145531216,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/PUZ039-1.tptp',unknown),
[] ).
cnf(145658840,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(153753200,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)],[145531216,145658840]),
[] ).
cnf(175839752,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)],[145464160,153753200]),
[] ).
cnf(176011384,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)],[145650448,175839752]),
[] ).
cnf(176085440,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(s(o)))),e1(s(s(s(s(o)))),s(s(o))),e2(o,o)),
inference(resolution,[status(thm)],[145416472,176011384]),
[] ).
cnf(187462760,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(s(o)))),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(o))),s(s(o))),e2(o,o)),
inference(resolution,[status(thm)],[145365784,176085440]),
[] ).
cnf(210102912,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(s(o)))),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(o,o),e2(s(s(s(o))),s(s(o)))),
inference(resolution,[status(thm)],[145650448,187462760]),
[] ).
cnf(250335544,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(s(o)))),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(o)),o),e2(s(s(s(o))),s(s(o)))),
inference(resolution,[status(thm)],[145474368,210102912]),
[] ).
cnf(305314240,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)),o),s1(s(s(s(o))),s(o)),s2(s(s(s(s(o)))),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(o)),s(s(o))),e2(s(s(s(o))),s(s(o)))),
inference(resolution,[status(thm)],[145592704,250335544]),
[] ).
cnf(449713200,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(o))),h(s(s(o)),o),s1(s(s(s(o))),s(o)),s2(s(s(s(s(o)))),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(o)),s(s(s(o)))),e2(s(s(s(o))),s(s(s(o))))),
inference(resolution,[status(thm)],[145557008,305314240]),
[] ).
cnf(contradiction,plain,
$false,
inference(resolution,[status(thm)],[145659440,449713200]),
[] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% Proof found in: 523 seconds
% START OF PROOF SEQUENCE
% fof(goal_state,plain,(~state(A,B,C,D,v4(s(s(o)),s(s(o))),E,F,G,H,I,J,K)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/PUZ/PUZ039-1.tptp',unknown),[]).
%
% cnf(145659440,plain,(~state(A,B,C,D,v4(s(s(o)),s(s(o))),E,F,G,H,I,J,K)),inference(rewrite,[status(thm)],[goal_state]),[]).
%
% fof(v4_left,plain,(~state(A,B,C,D,v4(E,s(F)),G,H,I,J,K,e1(E,F),e2(s(E),F))|state(A,B,C,D,v4(E,F),G,H,I,J,K,e1(E,s(F)),e2(s(E),s(F)))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/PUZ/PUZ039-1.tptp',unknown),[]).
%
% cnf(145557008,plain,(~state(A,B,C,D,v4(E,s(F)),G,H,I,J,K,e1(E,F),e2(s(E),F))|state(A,B,C,D,v4(E,F),G,H,I,J,K,e1(E,s(F)),e2(s(E),s(F)))),inference(rewrite,[status(thm)],[v4_left]),[]).
%
% fof(h_left,plain,(~state(A,B,C,D,E,h(F,s(G)),H,I,J,K,e1(F,G),L)|state(A,B,C,D,E,h(F,G),H,I,J,K,e1(F,s(s(G))),L)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/PUZ/PUZ039-1.tptp',unknown),[]).
%
% cnf(145592704,plain,(~state(A,B,C,D,E,h(F,s(G)),H,I,J,K,e1(F,G),L)|state(A,B,C,D,E,h(F,G),H,I,J,K,e1(F,s(s(G))),L)),inference(rewrite,[status(thm)],[h_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/PUZ039-1.tptp',unknown),[]).
%
% cnf(145474368,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(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/PUZ039-1.tptp',unknown),[]).
%
% cnf(145650448,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(s2_down,plain,(~state(A,B,C,D,E,F,G,s2(H,I),J,K,e1(s(H),I),L)|state(A,B,C,D,E,F,G,s2(s(H),I),J,K,e1(H,I),L)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/PUZ/PUZ039-1.tptp',unknown),[]).
%
% cnf(145365784,plain,(~state(A,B,C,D,E,F,G,s2(H,I),J,K,e1(s(H),I),L)|state(A,B,C,D,E,F,G,s2(s(H),I),J,K,e1(H,I),L)),inference(rewrite,[status(thm)],[s2_down]),[]).
%
% fof(s4_right,plain,(~state(A,B,C,D,E,F,G,H,I,s4(J,K),e1(J,s(K)),L)|state(A,B,C,D,E,F,G,H,I,s4(J,s(K)),e1(J,K),L)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/PUZ/PUZ039-1.tptp',unknown),[]).
%
% cnf(145416472,plain,(~state(A,B,C,D,E,F,G,H,I,s4(J,K),e1(J,s(K)),L)|state(A,B,C,D,E,F,G,H,I,s4(J,s(K)),e1(J,K),L)),inference(rewrite,[status(thm)],[s4_right]),[]).
%
% 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/PUZ039-1.tptp',unknown),[]).
%
% cnf(145464160,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(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/PUZ039-1.tptp',unknown),[]).
%
% cnf(145531216,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/PUZ039-1.tptp',unknown),[]).
%
% cnf(145658840,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(153753200,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)],[145531216,145658840]),[]).
%
% cnf(175839752,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)],[145464160,153753200]),[]).
%
% cnf(176011384,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)],[145650448,175839752]),[]).
%
% cnf(176085440,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(s(o)))),e1(s(s(s(s(o)))),s(s(o))),e2(o,o))),inference(resolution,[status(thm)],[145416472,176011384]),[]).
%
% cnf(187462760,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(s(o)))),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(o))),s(s(o))),e2(o,o))),inference(resolution,[status(thm)],[145365784,176085440]),[]).
%
% cnf(210102912,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(s(o)))),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(o,o),e2(s(s(s(o))),s(s(o))))),inference(resolution,[status(thm)],[145650448,187462760]),[]).
%
% cnf(250335544,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(s(o)))),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(o)),o),e2(s(s(s(o))),s(s(o))))),inference(resolution,[status(thm)],[145474368,210102912]),[]).
%
% cnf(305314240,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)),o),s1(s(s(s(o))),s(o)),s2(s(s(s(s(o)))),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(o)),s(s(o))),e2(s(s(s(o))),s(s(o))))),inference(resolution,[status(thm)],[145592704,250335544]),[]).
%
% cnf(449713200,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(o))),h(s(s(o)),o),s1(s(s(s(o))),s(o)),s2(s(s(s(s(o)))),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(o)),s(s(s(o)))),e2(s(s(s(o))),s(s(s(o)))))),inference(resolution,[status(thm)],[145557008,305314240]),[]).
%
% cnf(contradiction,plain,$false,inference(resolution,[status(thm)],[145659440,449713200]),[]).
%
% END OF PROOF SEQUENCE
%
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