TSTP Solution File: KRS125+1 by Faust---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Faust---1.0
% Problem : KRS125+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 13:28:22 EDT 2009
% Result : Unsatisfiable 0.0s
% Output : Refutation 0.0s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 7
% Syntax : Number of formulae : 22 ( 9 unt; 0 def)
% Number of atoms : 44 ( 0 equ)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 42 ( 20 ~; 18 |; 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 : 17 ( 2 sgn 8 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Faust---1.0 format not known, defaulting to TPTP
fof(axiom_3,plain,
! [A] :
( ~ cc(A)
| cdxcomp(A) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/KRS/KRS125+1.tptp',unknown),
[] ).
cnf(161707880,plain,
( ~ cc(A)
| cdxcomp(A) ),
inference(rewrite,[status(thm)],[axiom_3]),
[] ).
fof(axiom_10,plain,
! [A] :
( ~ ce3(A)
| cc(A) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/KRS/KRS125+1.tptp',unknown),
[] ).
cnf(161799336,plain,
( ~ ce3(A)
| cc(A) ),
inference(rewrite,[status(thm)],[axiom_10]),
[] ).
fof(axiom_2,plain,
! [A] :
( ( cf(A)
| ~ cunsatisfiable(A) )
& ( ce3(A)
| ~ cunsatisfiable(A) )
& ( cunsatisfiable(A)
| ~ ce3(A)
| ~ cf(A) ) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/KRS/KRS125+1.tptp',unknown),
[] ).
cnf(161689888,plain,
( ce3(A)
| ~ cunsatisfiable(A) ),
inference(rewrite,[status(thm)],[axiom_2]),
[] ).
fof(axiom_12,plain,
cunsatisfiable(i2003_11_14_17_22_17947),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/KRS/KRS125+1.tptp',unknown),
[] ).
cnf(161814840,plain,
cunsatisfiable(i2003_11_14_17_22_17947),
inference(rewrite,[status(thm)],[axiom_12]),
[] ).
cnf(167043768,plain,
ce3(i2003_11_14_17_22_17947),
inference(resolution,[status(thm)],[161689888,161814840]),
[] ).
cnf(167065712,plain,
cc(i2003_11_14_17_22_17947),
inference(resolution,[status(thm)],[161799336,167043768]),
[] ).
cnf(167083512,plain,
cdxcomp(i2003_11_14_17_22_17947),
inference(resolution,[status(thm)],[161707880,167065712]),
[] ).
fof(axiom_7,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/KRS125+1.tptp',unknown),
[] ).
cnf(161756976,plain,
( ~ cdxcomp(A)
| ra_px1(A,y0_nn_1(A)) ),
inference(rewrite,[status(thm)],[axiom_7]),
[] ).
fof(axiom_6,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/KRS125+1.tptp',unknown),
[] ).
cnf(161743264,plain,
( ~ cd(A)
| ~ ra_px1(A,B) ),
inference(rewrite,[status(thm)],[axiom_6]),
[] ).
fof(axiom_11,plain,
! [A] :
( ~ cf(A)
| cd(A) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/KRS/KRS125+1.tptp',unknown),
[] ).
cnf(161806320,plain,
( ~ cf(A)
| cd(A) ),
inference(rewrite,[status(thm)],[axiom_11]),
[] ).
cnf(161700928,plain,
( cf(A)
| ~ cunsatisfiable(A) ),
inference(rewrite,[status(thm)],[axiom_2]),
[] ).
cnf(167052304,plain,
cf(i2003_11_14_17_22_17947),
inference(resolution,[status(thm)],[161700928,161814840]),
[] ).
cnf(167075080,plain,
cd(i2003_11_14_17_22_17947),
inference(resolution,[status(thm)],[161806320,167052304]),
[] ).
cnf(167103464,plain,
~ ra_px1(i2003_11_14_17_22_17947,A),
inference(resolution,[status(thm)],[161743264,167075080]),
[] ).
cnf(contradiction,plain,
$false,
inference(forward_subsumption_resolution__resolution,[status(thm)],[167083512,161756976,167103464]),
[] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% Proof found in: 0 seconds
% START OF PROOF SEQUENCE
% fof(axiom_3,plain,(~cc(A)|cdxcomp(A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/KRS/KRS125+1.tptp',unknown),[]).
%
% cnf(161707880,plain,(~cc(A)|cdxcomp(A)),inference(rewrite,[status(thm)],[axiom_3]),[]).
%
% fof(axiom_10,plain,(~ce3(A)|cc(A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/KRS/KRS125+1.tptp',unknown),[]).
%
% cnf(161799336,plain,(~ce3(A)|cc(A)),inference(rewrite,[status(thm)],[axiom_10]),[]).
%
% fof(axiom_2,plain,(((cf(A)|~cunsatisfiable(A))&(ce3(A)|~cunsatisfiable(A))&(cunsatisfiable(A)|~ce3(A)|~cf(A)))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/KRS/KRS125+1.tptp',unknown),[]).
%
% cnf(161689888,plain,(ce3(A)|~cunsatisfiable(A)),inference(rewrite,[status(thm)],[axiom_2]),[]).
%
% fof(axiom_12,plain,(cunsatisfiable(i2003_11_14_17_22_17947)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/KRS/KRS125+1.tptp',unknown),[]).
%
% cnf(161814840,plain,(cunsatisfiable(i2003_11_14_17_22_17947)),inference(rewrite,[status(thm)],[axiom_12]),[]).
%
% cnf(167043768,plain,(ce3(i2003_11_14_17_22_17947)),inference(resolution,[status(thm)],[161689888,161814840]),[]).
%
% cnf(167065712,plain,(cc(i2003_11_14_17_22_17947)),inference(resolution,[status(thm)],[161799336,167043768]),[]).
%
% cnf(167083512,plain,(cdxcomp(i2003_11_14_17_22_17947)),inference(resolution,[status(thm)],[161707880,167065712]),[]).
%
% fof(axiom_7,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/KRS125+1.tptp',unknown),[]).
%
% cnf(161756976,plain,(~cdxcomp(A)|ra_px1(A,y0_nn_1(A))),inference(rewrite,[status(thm)],[axiom_7]),[]).
%
% fof(axiom_6,plain,(((~cd(A)|~ra_px1(A,B))&(cd(A)|ra_px1(A,y(A,B))))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/KRS/KRS125+1.tptp',unknown),[]).
%
% cnf(161743264,plain,(~cd(A)|~ra_px1(A,B)),inference(rewrite,[status(thm)],[axiom_6]),[]).
%
% fof(axiom_11,plain,(~cf(A)|cd(A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/KRS/KRS125+1.tptp',unknown),[]).
%
% cnf(161806320,plain,(~cf(A)|cd(A)),inference(rewrite,[status(thm)],[axiom_11]),[]).
%
% cnf(161700928,plain,(cf(A)|~cunsatisfiable(A)),inference(rewrite,[status(thm)],[axiom_2]),[]).
%
% cnf(167052304,plain,(cf(i2003_11_14_17_22_17947)),inference(resolution,[status(thm)],[161700928,161814840]),[]).
%
% cnf(167075080,plain,(cd(i2003_11_14_17_22_17947)),inference(resolution,[status(thm)],[161806320,167052304]),[]).
%
% cnf(167103464,plain,(~ra_px1(i2003_11_14_17_22_17947,A)),inference(resolution,[status(thm)],[161743264,167075080]),[]).
%
% cnf(contradiction,plain,$false,inference(forward_subsumption_resolution__resolution,[status(thm)],[167083512,161756976,167103464]),[]).
%
% END OF PROOF SEQUENCE
% faust: ../JJParser/Signature.c:39: void FreeSignatureList(SymbolNodeType**): Assertion `(*Symbols)->NumberOfUses == 0' failed.
%
%------------------------------------------------------------------------------