TSTP Solution File: KRS072+1 by Faust---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Faust---1.0
% Problem : KRS072+1 : TPTP v3.4.2. Released v3.1.0.
% Transfm : none
% Format : tptp
% Command : faust %s
% Computer : art05.cs.miami.edu
% Model : i686 i686
% CPU : Intel(R) Pentium(R) 4 CPU 2.80GHz @ 2794MHz
% Memory : 1003MB
% OS : Linux 2.6.11-1.1369_FC4
% CPULimit : 600s
% DateTime : Wed May 6 13:26:08 EDT 2009
% Result : Unsatisfiable 0.0s
% Output : Refutation 0.0s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 5
% Syntax : Number of formulae : 23 ( 10 unt; 0 def)
% Number of atoms : 76 ( 0 equ)
% Maximal formula atoms : 30 ( 3 avg)
% Number of connectives : 99 ( 46 ~; 42 |; 11 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 19 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 10 ( 8 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 1 con; 0-4 aty)
% Number of variables : 35 ( 12 sgn 10 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Faust---1.0 format not known, defaulting to TPTP
fof(axiom_3,plain,
! [A] :
( ( ~ cp2(A)
| ~ cp1(A) )
& ( ~ cp4(A)
| ~ cp1(A) )
& ( ~ cp5(A)
| ~ cp1(A) )
& ( ~ cp3(A)
| ~ cp1(A) ) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/KRS/KRS072+1.tptp',unknown),
[] ).
cnf(145756544,plain,
( ~ cp2(A)
| ~ cp1(A) ),
inference(rewrite,[status(thm)],[axiom_3]),
[] ).
fof(axiom_2,plain,
! [A,C,D,F,I] :
( ( cp2(A)
| ~ cunsatisfiable(A) )
& ( rinvr(A,y_nn_1(A))
| ~ cunsatisfiable(A) )
& ( ~ rr(y_nn_1(A),C)
| ~ rr(y_nn_1(A),D)
| $equal(D,C)
| ~ cunsatisfiable(A) )
& ( rr(y_nn_1(A),z_nn_2(A,C,D))
| ~ cunsatisfiable(A) )
& ( cp1(z_nn_2(A,C,D))
| ~ cunsatisfiable(A) )
& ( rr(F,z0(A,C,D,F))
| ~ rr(F,I)
| ~ cp1(I)
| ~ rinvr(A,F)
| ~ cp2(A)
| cunsatisfiable(A) )
& ( rr(F,z1(A,C,D,F))
| ~ rr(F,I)
| ~ cp1(I)
| ~ rinvr(A,F)
| ~ cp2(A)
| cunsatisfiable(A) )
& ( ~ $equal(z1(A,C,D,F),z0(A,C,D,F))
| ~ rr(F,I)
| ~ cp1(I)
| ~ rinvr(A,F)
| ~ cp2(A)
| cunsatisfiable(A) ) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/KRS/KRS072+1.tptp',unknown),
[] ).
cnf(145724672,plain,
( cp2(A)
| ~ cunsatisfiable(A) ),
inference(rewrite,[status(thm)],[axiom_2]),
[] ).
fof(axiom_8,plain,
cunsatisfiable(i2003_11_14_17_18_50190),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/KRS/KRS072+1.tptp',unknown),
[] ).
cnf(145813584,plain,
cunsatisfiable(i2003_11_14_17_18_50190),
inference(rewrite,[status(thm)],[axiom_8]),
[] ).
cnf(149838552,plain,
cp2(i2003_11_14_17_18_50190),
inference(resolution,[status(thm)],[145724672,145813584]),
[] ).
cnf(151112984,plain,
~ cp1(i2003_11_14_17_18_50190),
inference(resolution,[status(thm)],[145756544,149838552]),
[] ).
cnf(145672984,plain,
( cp1(z_nn_2(A,C,D))
| ~ cunsatisfiable(A) ),
inference(rewrite,[status(thm)],[axiom_2]),
[] ).
cnf(151069048,plain,
cp1(z_nn_2(i2003_11_14_17_18_50190,B,C)),
inference(resolution,[status(thm)],[145672984,145813584]),
[] ).
fof(cp1_substitution_1,plain,
! [B,A] :
( ~ $equal(B,A)
| ~ cp1(A)
| cp1(B) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/KRS/KRS072+1.tptp',unknown),
[] ).
cnf(145446304,plain,
( ~ $equal(B,A)
| ~ cp1(A)
| cp1(B) ),
inference(rewrite,[status(thm)],[cp1_substitution_1]),
[] ).
cnf(145706856,plain,
( ~ rr(y_nn_1(A),C)
| ~ rr(y_nn_1(A),D)
| $equal(D,C)
| ~ cunsatisfiable(A) ),
inference(rewrite,[status(thm)],[axiom_2]),
[] ).
cnf(145683328,plain,
( rr(y_nn_1(A),z_nn_2(A,C,D))
| ~ cunsatisfiable(A) ),
inference(rewrite,[status(thm)],[axiom_2]),
[] ).
cnf(151099784,plain,
rr(y_nn_1(i2003_11_14_17_18_50190),z_nn_2(i2003_11_14_17_18_50190,B,C)),
inference(resolution,[status(thm)],[145683328,145813584]),
[] ).
cnf(151523120,plain,
( ~ rr(y_nn_1(i2003_11_14_17_18_50190),B)
| $equal(B,z_nn_2(i2003_11_14_17_18_50190,D,E)) ),
inference(forward_subsumption_resolution__resolution,[status(thm)],[145813584,145706856,151099784]),
[] ).
fof(axiom_7,plain,
! [A,B] :
( ( ~ rinvr(A,B)
| rr(B,A) )
& ( rinvr(A,B)
| ~ rr(B,A) ) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/KRS/KRS072+1.tptp',unknown),
[] ).
cnf(145809088,plain,
( ~ rinvr(A,B)
| rr(B,A) ),
inference(rewrite,[status(thm)],[axiom_7]),
[] ).
cnf(145713792,plain,
( rinvr(A,y_nn_1(A))
| ~ cunsatisfiable(A) ),
inference(rewrite,[status(thm)],[axiom_2]),
[] ).
cnf(151049200,plain,
rinvr(i2003_11_14_17_18_50190,y_nn_1(i2003_11_14_17_18_50190)),
inference(resolution,[status(thm)],[145713792,145813584]),
[] ).
cnf(151215032,plain,
rr(y_nn_1(i2003_11_14_17_18_50190),i2003_11_14_17_18_50190),
inference(resolution,[status(thm)],[145809088,151049200]),
[] ).
cnf(151531848,plain,
$equal(i2003_11_14_17_18_50190,z_nn_2(i2003_11_14_17_18_50190,C,D)),
inference(resolution,[status(thm)],[151523120,151215032]),
[] ).
cnf(contradiction,plain,
$false,
inference(forward_subsumption_resolution__resolution,[status(thm)],[151112984,151069048,145446304,151531848]),
[] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% Proof found in: 0 seconds
% START OF PROOF SEQUENCE
% fof(axiom_3,plain,(((~cp2(A)|~cp1(A))&(~cp4(A)|~cp1(A))&(~cp5(A)|~cp1(A))&(~cp3(A)|~cp1(A)))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/KRS/KRS072+1.tptp',unknown),[]).
%
% cnf(145756544,plain,(~cp2(A)|~cp1(A)),inference(rewrite,[status(thm)],[axiom_3]),[]).
%
% fof(axiom_2,plain,(((cp2(A)|~cunsatisfiable(A))&(rinvr(A,y_nn_1(A))|~cunsatisfiable(A))&(~rr(y_nn_1(A),C)|~rr(y_nn_1(A),D)|$equal(D,C)|~cunsatisfiable(A))&(rr(y_nn_1(A),z_nn_2(A,C,D))|~cunsatisfiable(A))&(cp1(z_nn_2(A,C,D))|~cunsatisfiable(A))&(rr(F,z0(A,C,D,F))|~rr(F,I)|~cp1(I)|~rinvr(A,F)|~cp2(A)|cunsatisfiable(A))&(rr(F,z1(A,C,D,F))|~rr(F,I)|~cp1(I)|~rinvr(A,F)|~cp2(A)|cunsatisfiable(A))&(~$equal(z1(A,C,D,F),z0(A,C,D,F))|~rr(F,I)|~cp1(I)|~rinvr(A,F)|~cp2(A)|cunsatisfiable(A)))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/KRS/KRS072+1.tptp',unknown),[]).
%
% cnf(145724672,plain,(cp2(A)|~cunsatisfiable(A)),inference(rewrite,[status(thm)],[axiom_2]),[]).
%
% fof(axiom_8,plain,(cunsatisfiable(i2003_11_14_17_18_50190)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/KRS/KRS072+1.tptp',unknown),[]).
%
% cnf(145813584,plain,(cunsatisfiable(i2003_11_14_17_18_50190)),inference(rewrite,[status(thm)],[axiom_8]),[]).
%
% cnf(149838552,plain,(cp2(i2003_11_14_17_18_50190)),inference(resolution,[status(thm)],[145724672,145813584]),[]).
%
% cnf(151112984,plain,(~cp1(i2003_11_14_17_18_50190)),inference(resolution,[status(thm)],[145756544,149838552]),[]).
%
% cnf(145672984,plain,(cp1(z_nn_2(A,C,D))|~cunsatisfiable(A)),inference(rewrite,[status(thm)],[axiom_2]),[]).
%
% cnf(151069048,plain,(cp1(z_nn_2(i2003_11_14_17_18_50190,B,C))),inference(resolution,[status(thm)],[145672984,145813584]),[]).
%
% fof(cp1_substitution_1,plain,(~$equal(B,A)|~cp1(A)|cp1(B)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/KRS/KRS072+1.tptp',unknown),[]).
%
% cnf(145446304,plain,(~$equal(B,A)|~cp1(A)|cp1(B)),inference(rewrite,[status(thm)],[cp1_substitution_1]),[]).
%
% cnf(145706856,plain,(~rr(y_nn_1(A),C)|~rr(y_nn_1(A),D)|$equal(D,C)|~cunsatisfiable(A)),inference(rewrite,[status(thm)],[axiom_2]),[]).
%
% cnf(145683328,plain,(rr(y_nn_1(A),z_nn_2(A,C,D))|~cunsatisfiable(A)),inference(rewrite,[status(thm)],[axiom_2]),[]).
%
% cnf(151099784,plain,(rr(y_nn_1(i2003_11_14_17_18_50190),z_nn_2(i2003_11_14_17_18_50190,B,C))),inference(resolution,[status(thm)],[145683328,145813584]),[]).
%
% cnf(151523120,plain,(~rr(y_nn_1(i2003_11_14_17_18_50190),B)|$equal(B,z_nn_2(i2003_11_14_17_18_50190,D,E))),inference(forward_subsumption_resolution__resolution,[status(thm)],[145813584,145706856,151099784]),[]).
%
% fof(axiom_7,plain,(((~rinvr(A,B)|rr(B,A))&(rinvr(A,B)|~rr(B,A)))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/KRS/KRS072+1.tptp',unknown),[]).
%
% cnf(145809088,plain,(~rinvr(A,B)|rr(B,A)),inference(rewrite,[status(thm)],[axiom_7]),[]).
%
% cnf(145713792,plain,(rinvr(A,y_nn_1(A))|~cunsatisfiable(A)),inference(rewrite,[status(thm)],[axiom_2]),[]).
%
% cnf(151049200,plain,(rinvr(i2003_11_14_17_18_50190,y_nn_1(i2003_11_14_17_18_50190))),inference(resolution,[status(thm)],[145713792,145813584]),[]).
%
% cnf(151215032,plain,(rr(y_nn_1(i2003_11_14_17_18_50190),i2003_11_14_17_18_50190)),inference(resolution,[status(thm)],[145809088,151049200]),[]).
%
% cnf(151531848,plain,($equal(i2003_11_14_17_18_50190,z_nn_2(i2003_11_14_17_18_50190,C,D))),inference(resolution,[status(thm)],[151523120,151215032]),[]).
%
% cnf(contradiction,plain,$false,inference(forward_subsumption_resolution__resolution,[status(thm)],[151112984,151069048,145446304,151531848]),[]).
%
% END OF PROOF SEQUENCE
% faust: ../JJParser/Signature.c:39: void FreeSignatureList(SymbolNodeType**): Assertion `(*Symbols)->NumberOfUses == 0' failed.
%
%------------------------------------------------------------------------------