TSTP Solution File: KRS105+1 by Faust---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Faust---1.0
% Problem : KRS105+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 13:27:33 EDT 2009
% Result : Unsatisfiable 0.0s
% Output : Refutation 0.0s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 8
% Syntax : Number of formulae : 26 ( 11 unt; 0 def)
% Number of atoms : 52 ( 0 equ)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 49 ( 23 ~; 22 |; 4 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 8 ( 7 usr; 1 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 1 con; 0-2 aty)
% Number of variables : 25 ( 5 sgn 11 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Faust---1.0 format not known, defaulting to TPTP
fof(axiom_8,plain,
! [A] :
( ~ ca_ax2(A)
| cd(A) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/KRS/KRS105+1.tptp',unknown),
[] ).
cnf(153559456,plain,
( ~ ca_ax2(A)
| cd(A) ),
inference(rewrite,[status(thm)],[axiom_8]),
[] ).
fof(axiom_5,plain,
! [A,B] :
( ( ~ cd(A)
| ~ ra_px1(A,B) )
& ( cd(A)
| ra_px1(A,y(A,B)) ) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/KRS/KRS105+1.tptp',unknown),
[] ).
cnf(153511616,plain,
( ~ cd(A)
| ~ ra_px1(A,B) ),
inference(rewrite,[status(thm)],[axiom_5]),
[] ).
fof(axiom_6,plain,
! [A,C] :
( ( ~ cdxcomp(A)
| ra_px1(A,y0_nn_1(A)) )
& ( cdxcomp(A)
| ~ ra_px1(A,C) ) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/KRS/KRS105+1.tptp',unknown),
[] ).
cnf(153529088,plain,
( ~ cdxcomp(A)
| ra_px1(A,y0_nn_1(A)) ),
inference(rewrite,[status(thm)],[axiom_6]),
[] ).
fof(axiom_2,plain,
! [A] :
( ~ cunsatisfiable(A)
| cdxcomp(A) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/KRS/KRS105+1.tptp',unknown),
[] ).
cnf(153479736,plain,
( ~ cunsatisfiable(A)
| cdxcomp(A) ),
inference(rewrite,[status(thm)],[axiom_2]),
[] ).
fof(axiom_9,plain,
cunsatisfiable(i2003_11_14_17_20_53634),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/KRS/KRS105+1.tptp',unknown),
[] ).
cnf(153564536,plain,
cunsatisfiable(i2003_11_14_17_20_53634),
inference(rewrite,[status(thm)],[axiom_9]),
[] ).
cnf(158768584,plain,
cdxcomp(i2003_11_14_17_20_53634),
inference(resolution,[status(thm)],[153479736,153564536]),
[] ).
cnf(158792536,plain,
ra_px1(i2003_11_14_17_20_53634,y0_nn_1(i2003_11_14_17_20_53634)),
inference(resolution,[status(thm)],[153529088,158768584]),
[] ).
cnf(158827176,plain,
~ cd(i2003_11_14_17_20_53634),
inference(resolution,[status(thm)],[153511616,158792536]),
[] ).
cnf(158839576,plain,
~ ca_ax2(i2003_11_14_17_20_53634),
inference(resolution,[status(thm)],[153559456,158827176]),
[] ).
fof(axiom_7,plain,
! [A,B] :
( ( ~ ca_ax2(A)
| ~ rr(A,B)
| cc(B) )
& ( ~ cc(y(A,B))
| ca_ax2(A) )
& ( rr(A,y(A,B))
| ca_ax2(A) ) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/KRS/KRS105+1.tptp',unknown),
[] ).
cnf(153541776,plain,
( ~ cc(y(A,B))
| ca_ax2(A) ),
inference(rewrite,[status(thm)],[axiom_7]),
[] ).
fof(axiom_3,plain,
! [A] :
( ~ cunsatisfiable(A)
| cc(A) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/KRS/KRS105+1.tptp',unknown),
[] ).
cnf(153485096,plain,
( ~ cunsatisfiable(A)
| cc(A) ),
inference(rewrite,[status(thm)],[axiom_3]),
[] ).
cnf(158777592,plain,
cc(i2003_11_14_17_20_53634),
inference(resolution,[status(thm)],[153485096,153564536]),
[] ).
fof(axiom_4,plain,
! [A,B] :
( ~ cc(A)
| ~ rr(A,B)
| cc(B) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/KRS/KRS105+1.tptp',unknown),
[] ).
cnf(153493704,plain,
( ~ cc(A)
| ~ rr(A,B)
| cc(B) ),
inference(rewrite,[status(thm)],[axiom_4]),
[] ).
cnf(153535608,plain,
( rr(A,y(A,B))
| ca_ax2(A) ),
inference(rewrite,[status(thm)],[axiom_7]),
[] ).
cnf(158865456,plain,
rr(i2003_11_14_17_20_53634,y(i2003_11_14_17_20_53634,A)),
inference(resolution,[status(thm)],[153535608,158839576]),
[] ).
cnf(158880368,plain,
cc(y(i2003_11_14_17_20_53634,A)),
inference(forward_subsumption_resolution__resolution,[status(thm)],[158777592,153493704,158865456]),
[] ).
cnf(158887184,plain,
ca_ax2(i2003_11_14_17_20_53634),
inference(resolution,[status(thm)],[153541776,158880368]),
[] ).
cnf(contradiction,plain,
$false,
inference(resolution,[status(thm)],[158839576,158887184]),
[] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% Proof found in: 0 seconds
% START OF PROOF SEQUENCE
% fof(axiom_8,plain,(~ca_ax2(A)|cd(A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/KRS/KRS105+1.tptp',unknown),[]).
%
% cnf(153559456,plain,(~ca_ax2(A)|cd(A)),inference(rewrite,[status(thm)],[axiom_8]),[]).
%
% fof(axiom_5,plain,(((~cd(A)|~ra_px1(A,B))&(cd(A)|ra_px1(A,y(A,B))))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/KRS/KRS105+1.tptp',unknown),[]).
%
% cnf(153511616,plain,(~cd(A)|~ra_px1(A,B)),inference(rewrite,[status(thm)],[axiom_5]),[]).
%
% fof(axiom_6,plain,(((~cdxcomp(A)|ra_px1(A,y0_nn_1(A)))&(cdxcomp(A)|~ra_px1(A,C)))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/KRS/KRS105+1.tptp',unknown),[]).
%
% cnf(153529088,plain,(~cdxcomp(A)|ra_px1(A,y0_nn_1(A))),inference(rewrite,[status(thm)],[axiom_6]),[]).
%
% fof(axiom_2,plain,(~cunsatisfiable(A)|cdxcomp(A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/KRS/KRS105+1.tptp',unknown),[]).
%
% cnf(153479736,plain,(~cunsatisfiable(A)|cdxcomp(A)),inference(rewrite,[status(thm)],[axiom_2]),[]).
%
% fof(axiom_9,plain,(cunsatisfiable(i2003_11_14_17_20_53634)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/KRS/KRS105+1.tptp',unknown),[]).
%
% cnf(153564536,plain,(cunsatisfiable(i2003_11_14_17_20_53634)),inference(rewrite,[status(thm)],[axiom_9]),[]).
%
% cnf(158768584,plain,(cdxcomp(i2003_11_14_17_20_53634)),inference(resolution,[status(thm)],[153479736,153564536]),[]).
%
% cnf(158792536,plain,(ra_px1(i2003_11_14_17_20_53634,y0_nn_1(i2003_11_14_17_20_53634))),inference(resolution,[status(thm)],[153529088,158768584]),[]).
%
% cnf(158827176,plain,(~cd(i2003_11_14_17_20_53634)),inference(resolution,[status(thm)],[153511616,158792536]),[]).
%
% cnf(158839576,plain,(~ca_ax2(i2003_11_14_17_20_53634)),inference(resolution,[status(thm)],[153559456,158827176]),[]).
%
% fof(axiom_7,plain,(((~ca_ax2(A)|~rr(A,B)|cc(B))&(~cc(y(A,B))|ca_ax2(A))&(rr(A,y(A,B))|ca_ax2(A)))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/KRS/KRS105+1.tptp',unknown),[]).
%
% cnf(153541776,plain,(~cc(y(A,B))|ca_ax2(A)),inference(rewrite,[status(thm)],[axiom_7]),[]).
%
% fof(axiom_3,plain,(~cunsatisfiable(A)|cc(A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/KRS/KRS105+1.tptp',unknown),[]).
%
% cnf(153485096,plain,(~cunsatisfiable(A)|cc(A)),inference(rewrite,[status(thm)],[axiom_3]),[]).
%
% cnf(158777592,plain,(cc(i2003_11_14_17_20_53634)),inference(resolution,[status(thm)],[153485096,153564536]),[]).
%
% fof(axiom_4,plain,(~cc(A)|~rr(A,B)|cc(B)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/KRS/KRS105+1.tptp',unknown),[]).
%
% cnf(153493704,plain,(~cc(A)|~rr(A,B)|cc(B)),inference(rewrite,[status(thm)],[axiom_4]),[]).
%
% cnf(153535608,plain,(rr(A,y(A,B))|ca_ax2(A)),inference(rewrite,[status(thm)],[axiom_7]),[]).
%
% cnf(158865456,plain,(rr(i2003_11_14_17_20_53634,y(i2003_11_14_17_20_53634,A))),inference(resolution,[status(thm)],[153535608,158839576]),[]).
%
% cnf(158880368,plain,(cc(y(i2003_11_14_17_20_53634,A))),inference(forward_subsumption_resolution__resolution,[status(thm)],[158777592,153493704,158865456]),[]).
%
% cnf(158887184,plain,(ca_ax2(i2003_11_14_17_20_53634)),inference(resolution,[status(thm)],[153541776,158880368]),[]).
%
% cnf(contradiction,plain,$false,inference(resolution,[status(thm)],[158839576,158887184]),[]).
%
% END OF PROOF SEQUENCE
% faust: ../JJParser/Signature.c:39: void FreeSignatureList(SymbolNodeType**): Assertion `(*Symbols)->NumberOfUses == 0' failed.
%
%------------------------------------------------------------------------------