%------------------------------------------------------------------------------
% File : Faust---1.0
% Problem : KRS114+1 : TPTP v3.4.2. Released v3.1.0.
% Transfm : none
% Format : tptp
% Command : faust %s
% Computer : art02.cs.miami.edu
% Model : i686 i686
% CPU : Intel(R) Pentium(R) 4 CPU 2.80GHz @ 2793MHz
% Memory : 1003MB
% OS : Linux 2.6.11-1.1369_FC4
% CPULimit : 600s
% DateTime : Wed May 6 13:27:56 EDT 2009
% Result : Unsatisfiable 0.1s
% Output : Refutation 0.1s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 9
% Syntax : Number of formulae : 39 ( 15 unt; 0 def)
% Number of atoms : 113 ( 0 equ)
% Maximal formula atoms : 20 ( 2 avg)
% Number of connectives : 131 ( 57 ~; 58 |; 16 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 13 ( 11 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 1 con; 0-3 aty)
% Number of variables : 51 ( 13 sgn 18 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Faust---1.0 format not known, defaulting to TPTP
fof(ca_Vx5_substitution_1,plain,
! [B,A] :
( ~ $equal(B,A)
| ~ ca_vx5(A)
| ca_vx5(B) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/KRS/KRS114+1.tptp',unknown),
[] ).
cnf(166981288,plain,
( ~ $equal(B,A)
| ~ ca_vx5(A)
| ca_vx5(B) ),
inference(rewrite,[status(thm)],[ca_Vx5_substitution_1]),
[] ).
fof(axiom_8,plain,
! [A,B,C,G] :
( ( rinvr(A,y_nn_1(A,B,C))
| ~ ca_ax4(A) )
& ( ca_vx5(y_nn_1(A,B,C))
| ~ ca_ax4(A) )
& ( ~ rinvr(A,B)
| ~ rinvr(A,C)
| $equal(C,B)
| ~ ca_ax4(A) )
& ( ~ $equal(y1(A,B,C),y0(A,B,C))
| ~ rinvr(A,G)
| ~ ca_vx5(G)
| ca_ax4(A) )
& ( rinvr(A,y0(A,B,C))
| ~ rinvr(A,G)
| ~ ca_vx5(G)
| ca_ax4(A) )
& ( rinvr(A,y1(A,B,C))
| ~ rinvr(A,G)
| ~ ca_vx5(G)
| ca_ax4(A) ) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/KRS/KRS114+1.tptp',unknown),
[] ).
cnf(167381384,plain,
( ca_vx5(y_nn_1(A,B,C))
| ~ ca_ax4(A) ),
inference(rewrite,[status(thm)],[axiom_8]),
[] ).
fof(axiom_2,plain,
! [A,D,E] :
( ( rs(A,y_nn_2(A))
| ~ cunsatisfiable(A) )
& ( ca_ax3(y_nn_2(A))
| ~ cunsatisfiable(A) )
& ( rr(A,y_nn_3(A))
| ~ cunsatisfiable(A) )
& ( ca_ax4(y_nn_3(A))
| ~ cunsatisfiable(A) )
& ( cunsatisfiable(A)
| ~ rr(A,D)
| ~ ca_ax4(D)
| ~ rs(A,E)
| ~ ca_ax3(E) ) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/KRS/KRS114+1.tptp',unknown),
[] ).
cnf(167197800,plain,
( ca_ax4(y_nn_3(A))
| ~ cunsatisfiable(A) ),
inference(rewrite,[status(thm)],[axiom_2]),
[] ).
fof(axiom_11,plain,
cunsatisfiable(i2003_11_14_17_21_262),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/KRS/KRS114+1.tptp',unknown),
[] ).
cnf(167438448,plain,
cunsatisfiable(i2003_11_14_17_21_262),
inference(rewrite,[status(thm)],[axiom_11]),
[] ).
cnf(172720304,plain,
ca_ax4(y_nn_3(i2003_11_14_17_21_262)),
inference(resolution,[status(thm)],[167197800,167438448]),
[] ).
cnf(172796384,plain,
ca_vx5(y_nn_1(y_nn_3(i2003_11_14_17_21_262),A,B)),
inference(resolution,[status(thm)],[167381384,172720304]),
[] ).
cnf(173144568,plain,
( ~ $equal(A,y_nn_1(y_nn_3(i2003_11_14_17_21_262),B,C))
| ca_vx5(A) ),
inference(resolution,[status(thm)],[166981288,172796384]),
[] ).
cnf(167373976,plain,
( ~ rinvr(A,B)
| ~ rinvr(A,C)
| $equal(C,B)
| ~ ca_ax4(A) ),
inference(rewrite,[status(thm)],[axiom_8]),
[] ).
fof(axiom_10,plain,
! [A,B] :
( ( ~ rinvr(A,B)
| rr(B,A) )
& ( rinvr(A,B)
| ~ rr(B,A) ) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/KRS/KRS114+1.tptp',unknown),
[] ).
cnf(167428864,plain,
( rinvr(A,B)
| ~ rr(B,A) ),
inference(rewrite,[status(thm)],[axiom_10]),
[] ).
cnf(167205376,plain,
( rr(A,y_nn_3(A))
| ~ cunsatisfiable(A) ),
inference(rewrite,[status(thm)],[axiom_2]),
[] ).
cnf(172748504,plain,
rr(i2003_11_14_17_21_262,y_nn_3(i2003_11_14_17_21_262)),
inference(resolution,[status(thm)],[167205376,167438448]),
[] ).
cnf(172974328,plain,
rinvr(y_nn_3(i2003_11_14_17_21_262),i2003_11_14_17_21_262),
inference(resolution,[status(thm)],[167428864,172748504]),
[] ).
cnf(173075088,plain,
( ~ rinvr(y_nn_3(i2003_11_14_17_21_262),A)
| $equal(i2003_11_14_17_21_262,A) ),
inference(forward_subsumption_resolution__resolution,[status(thm)],[172720304,167373976,172974328]),
[] ).
cnf(167391936,plain,
( rinvr(A,y_nn_1(A,B,C))
| ~ ca_ax4(A) ),
inference(rewrite,[status(thm)],[axiom_8]),
[] ).
cnf(172826200,plain,
rinvr(y_nn_3(i2003_11_14_17_21_262),y_nn_1(y_nn_3(i2003_11_14_17_21_262),A,B)),
inference(resolution,[status(thm)],[167391936,172720304]),
[] ).
cnf(173274776,plain,
$equal(i2003_11_14_17_21_262,y_nn_1(y_nn_3(i2003_11_14_17_21_262),A,B)),
inference(resolution,[status(thm)],[173075088,172826200]),
[] ).
cnf(173326536,plain,
ca_vx5(i2003_11_14_17_21_262),
inference(resolution,[status(thm)],[173144568,173274776]),
[] ).
fof(axiom_9,plain,
! [A,B] :
( ( ~ ca_vx5(A)
| ~ rs(A,B)
| cp(B) )
& ( ~ cp(y(A,B))
| ca_vx5(A) )
& ( rs(A,y(A,B))
| ca_vx5(A) ) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/KRS/KRS114+1.tptp',unknown),
[] ).
cnf(167422616,plain,
( ~ ca_vx5(A)
| ~ rs(A,B)
| cp(B) ),
inference(rewrite,[status(thm)],[axiom_9]),
[] ).
cnf(167224520,plain,
( rs(A,y_nn_2(A))
| ~ cunsatisfiable(A) ),
inference(rewrite,[status(thm)],[axiom_2]),
[] ).
cnf(172758824,plain,
rs(i2003_11_14_17_21_262,y_nn_2(i2003_11_14_17_21_262)),
inference(resolution,[status(thm)],[167224520,167438448]),
[] ).
cnf(173008552,plain,
( ~ ca_vx5(i2003_11_14_17_21_262)
| cp(y_nn_2(i2003_11_14_17_21_262)) ),
inference(resolution,[status(thm)],[167422616,172758824]),
[] ).
fof(axiom_3,plain,
! [A,B] :
( ( ~ cp(A)
| ~ ra_px1(A,B) )
& ( cp(A)
| ra_px1(A,y(A,B)) ) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/KRS/KRS114+1.tptp',unknown),
[] ).
cnf(167243184,plain,
( ~ cp(A)
| ~ ra_px1(A,B) ),
inference(rewrite,[status(thm)],[axiom_3]),
[] ).
fof(axiom_4,plain,
! [A,C] :
( ( ~ cpxcomp(A)
| ra_px1(A,y0_nn_1(A)) )
& ( cpxcomp(A)
| ~ ra_px1(A,C) ) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/KRS/KRS114+1.tptp',unknown),
[] ).
cnf(167261504,plain,
( ~ cpxcomp(A)
| ra_px1(A,y0_nn_1(A)) ),
inference(rewrite,[status(thm)],[axiom_4]),
[] ).
fof(axiom_7,plain,
! [A] :
( ( cpxcomp(A)
| ~ ca_ax3(A) )
& ( cqxcomp(A)
| ~ ca_ax3(A) )
& ( ca_ax3(A)
| ~ cqxcomp(A)
| ~ cpxcomp(A) ) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/KRS/KRS114+1.tptp',unknown),
[] ).
cnf(167325120,plain,
( cpxcomp(A)
| ~ ca_ax3(A) ),
inference(rewrite,[status(thm)],[axiom_7]),
[] ).
cnf(167216976,plain,
( ca_ax3(y_nn_2(A))
| ~ cunsatisfiable(A) ),
inference(rewrite,[status(thm)],[axiom_2]),
[] ).
cnf(172733136,plain,
ca_ax3(y_nn_2(i2003_11_14_17_21_262)),
inference(resolution,[status(thm)],[167216976,167438448]),
[] ).
cnf(172868024,plain,
cpxcomp(y_nn_2(i2003_11_14_17_21_262)),
inference(resolution,[status(thm)],[167325120,172733136]),
[] ).
cnf(172952464,plain,
ra_px1(y_nn_2(i2003_11_14_17_21_262),y0_nn_1(y_nn_2(i2003_11_14_17_21_262))),
inference(resolution,[status(thm)],[167261504,172868024]),
[] ).
cnf(173178040,plain,
~ cp(y_nn_2(i2003_11_14_17_21_262)),
inference(resolution,[status(thm)],[167243184,172952464]),
[] ).
cnf(contradiction,plain,
$false,
inference(forward_subsumption_resolution__resolution,[status(thm)],[173326536,173008552,173178040]),
[] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% Proof found in: 0 seconds
% START OF PROOF SEQUENCE
% fof(ca_Vx5_substitution_1,plain,(~$equal(B,A)|~ca_vx5(A)|ca_vx5(B)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/KRS/KRS114+1.tptp',unknown),[]).
%
% cnf(166981288,plain,(~$equal(B,A)|~ca_vx5(A)|ca_vx5(B)),inference(rewrite,[status(thm)],[ca_Vx5_substitution_1]),[]).
%
% fof(axiom_8,plain,(((rinvr(A,y_nn_1(A,B,C))|~ca_ax4(A))&(ca_vx5(y_nn_1(A,B,C))|~ca_ax4(A))&(~rinvr(A,B)|~rinvr(A,C)|$equal(C,B)|~ca_ax4(A))&(~$equal(y1(A,B,C),y0(A,B,C))|~rinvr(A,G)|~ca_vx5(G)|ca_ax4(A))&(rinvr(A,y0(A,B,C))|~rinvr(A,G)|~ca_vx5(G)|ca_ax4(A))&(rinvr(A,y1(A,B,C))|~rinvr(A,G)|~ca_vx5(G)|ca_ax4(A)))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/KRS/KRS114+1.tptp',unknown),[]).
%
% cnf(167381384,plain,(ca_vx5(y_nn_1(A,B,C))|~ca_ax4(A)),inference(rewrite,[status(thm)],[axiom_8]),[]).
%
% fof(axiom_2,plain,(((rs(A,y_nn_2(A))|~cunsatisfiable(A))&(ca_ax3(y_nn_2(A))|~cunsatisfiable(A))&(rr(A,y_nn_3(A))|~cunsatisfiable(A))&(ca_ax4(y_nn_3(A))|~cunsatisfiable(A))&(cunsatisfiable(A)|~rr(A,D)|~ca_ax4(D)|~rs(A,E)|~ca_ax3(E)))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/KRS/KRS114+1.tptp',unknown),[]).
%
% cnf(167197800,plain,(ca_ax4(y_nn_3(A))|~cunsatisfiable(A)),inference(rewrite,[status(thm)],[axiom_2]),[]).
%
% fof(axiom_11,plain,(cunsatisfiable(i2003_11_14_17_21_262)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/KRS/KRS114+1.tptp',unknown),[]).
%
% cnf(167438448,plain,(cunsatisfiable(i2003_11_14_17_21_262)),inference(rewrite,[status(thm)],[axiom_11]),[]).
%
% cnf(172720304,plain,(ca_ax4(y_nn_3(i2003_11_14_17_21_262))),inference(resolution,[status(thm)],[167197800,167438448]),[]).
%
% cnf(172796384,plain,(ca_vx5(y_nn_1(y_nn_3(i2003_11_14_17_21_262),A,B))),inference(resolution,[status(thm)],[167381384,172720304]),[]).
%
% cnf(173144568,plain,(~$equal(A,y_nn_1(y_nn_3(i2003_11_14_17_21_262),B,C))|ca_vx5(A)),inference(resolution,[status(thm)],[166981288,172796384]),[]).
%
% cnf(167373976,plain,(~rinvr(A,B)|~rinvr(A,C)|$equal(C,B)|~ca_ax4(A)),inference(rewrite,[status(thm)],[axiom_8]),[]).
%
% fof(axiom_10,plain,(((~rinvr(A,B)|rr(B,A))&(rinvr(A,B)|~rr(B,A)))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/KRS/KRS114+1.tptp',unknown),[]).
%
% cnf(167428864,plain,(rinvr(A,B)|~rr(B,A)),inference(rewrite,[status(thm)],[axiom_10]),[]).
%
% cnf(167205376,plain,(rr(A,y_nn_3(A))|~cunsatisfiable(A)),inference(rewrite,[status(thm)],[axiom_2]),[]).
%
% cnf(172748504,plain,(rr(i2003_11_14_17_21_262,y_nn_3(i2003_11_14_17_21_262))),inference(resolution,[status(thm)],[167205376,167438448]),[]).
%
% cnf(172974328,plain,(rinvr(y_nn_3(i2003_11_14_17_21_262),i2003_11_14_17_21_262)),inference(resolution,[status(thm)],[167428864,172748504]),[]).
%
% cnf(173075088,plain,(~rinvr(y_nn_3(i2003_11_14_17_21_262),A)|$equal(i2003_11_14_17_21_262,A)),inference(forward_subsumption_resolution__resolution,[status(thm)],[172720304,167373976,172974328]),[]).
%
% cnf(167391936,plain,(rinvr(A,y_nn_1(A,B,C))|~ca_ax4(A)),inference(rewrite,[status(thm)],[axiom_8]),[]).
%
% cnf(172826200,plain,(rinvr(y_nn_3(i2003_11_14_17_21_262),y_nn_1(y_nn_3(i2003_11_14_17_21_262),A,B))),inference(resolution,[status(thm)],[167391936,172720304]),[]).
%
% cnf(173274776,plain,($equal(i2003_11_14_17_21_262,y_nn_1(y_nn_3(i2003_11_14_17_21_262),A,B))),inference(resolution,[status(thm)],[173075088,172826200]),[]).
%
% cnf(173326536,plain,(ca_vx5(i2003_11_14_17_21_262)),inference(resolution,[status(thm)],[173144568,173274776]),[]).
%
% fof(axiom_9,plain,(((~ca_vx5(A)|~rs(A,B)|cp(B))&(~cp(y(A,B))|ca_vx5(A))&(rs(A,y(A,B))|ca_vx5(A)))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/KRS/KRS114+1.tptp',unknown),[]).
%
% cnf(167422616,plain,(~ca_vx5(A)|~rs(A,B)|cp(B)),inference(rewrite,[status(thm)],[axiom_9]),[]).
%
% cnf(167224520,plain,(rs(A,y_nn_2(A))|~cunsatisfiable(A)),inference(rewrite,[status(thm)],[axiom_2]),[]).
%
% cnf(172758824,plain,(rs(i2003_11_14_17_21_262,y_nn_2(i2003_11_14_17_21_262))),inference(resolution,[status(thm)],[167224520,167438448]),[]).
%
% cnf(173008552,plain,(~ca_vx5(i2003_11_14_17_21_262)|cp(y_nn_2(i2003_11_14_17_21_262))),inference(resolution,[status(thm)],[167422616,172758824]),[]).
%
% fof(axiom_3,plain,(((~cp(A)|~ra_px1(A,B))&(cp(A)|ra_px1(A,y(A,B))))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/KRS/KRS114+1.tptp',unknown),[]).
%
% cnf(167243184,plain,(~cp(A)|~ra_px1(A,B)),inference(rewrite,[status(thm)],[axiom_3]),[]).
%
% fof(axiom_4,plain,(((~cpxcomp(A)|ra_px1(A,y0_nn_1(A)))&(cpxcomp(A)|~ra_px1(A,C)))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/KRS/KRS114+1.tptp',unknown),[]).
%
% cnf(167261504,plain,(~cpxcomp(A)|ra_px1(A,y0_nn_1(A))),inference(rewrite,[status(thm)],[axiom_4]),[]).
%
% fof(axiom_7,plain,(((cpxcomp(A)|~ca_ax3(A))&(cqxcomp(A)|~ca_ax3(A))&(ca_ax3(A)|~cqxcomp(A)|~cpxcomp(A)))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/KRS/KRS114+1.tptp',unknown),[]).
%
% cnf(167325120,plain,(cpxcomp(A)|~ca_ax3(A)),inference(rewrite,[status(thm)],[axiom_7]),[]).
%
% cnf(167216976,plain,(ca_ax3(y_nn_2(A))|~cunsatisfiable(A)),inference(rewrite,[status(thm)],[axiom_2]),[]).
%
% cnf(172733136,plain,(ca_ax3(y_nn_2(i2003_11_14_17_21_262))),inference(resolution,[status(thm)],[167216976,167438448]),[]).
%
% cnf(172868024,plain,(cpxcomp(y_nn_2(i2003_11_14_17_21_262))),inference(resolution,[status(thm)],[167325120,172733136]),[]).
%
% cnf(172952464,plain,(ra_px1(y_nn_2(i2003_11_14_17_21_262),y0_nn_1(y_nn_2(i2003_11_14_17_21_262)))),inference(resolution,[status(thm)],[167261504,172868024]),[]).
%
% cnf(173178040,plain,(~cp(y_nn_2(i2003_11_14_17_21_262))),inference(resolution,[status(thm)],[167243184,172952464]),[]).
%
% cnf(contradiction,plain,$false,inference(forward_subsumption_resolution__resolution,[status(thm)],[173326536,173008552,173178040]),[]).
%
% END OF PROOF SEQUENCE
% faust: ../JJParser/Signature.c:39: void FreeSignatureList(SymbolNodeType**): Assertion `(*Symbols)->NumberOfUses == 0' failed.
%
%------------------------------------------------------------------------------