TSTP Solution File: KRS115+1 by Faust---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Faust---1.0
% Problem : KRS115+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 13:27:58 EDT 2009
% Result : Unsatisfiable 0.0s
% Output : Refutation 0.0s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 12
% Syntax : Number of formulae : 46 ( 17 unt; 0 def)
% Number of atoms : 106 ( 0 equ)
% Maximal formula atoms : 19 ( 2 avg)
% Number of connectives : 118 ( 58 ~; 51 |; 9 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 18 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 12 ( 10 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 1 con; 0-2 aty)
% Number of variables : 55 ( 3 sgn 25 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Faust---1.0 format not known, defaulting to TPTP
fof(axiom_2,plain,
! [A,E,F,G] :
( ( rf1(A,y_nn_4(A))
| ~ cunsatisfiable(A) )
& ( cp1(y_nn_4(A))
| ~ cunsatisfiable(A) )
& ( rr(A,y_nn_3(A))
| ~ cunsatisfiable(A) )
& ( cowlthing(y_nn_3(A))
| ~ cunsatisfiable(A) )
& ( rf2(A,y_nn_5(A))
| ~ cunsatisfiable(A) )
& ( cp2(y_nn_5(A))
| ~ cunsatisfiable(A) )
& ( cunsatisfiable(A)
| ~ rf2(A,E)
| ~ cp2(E)
| ~ rf1(A,F)
| ~ cp1(F)
| ~ rr(A,G)
| ~ cowlthing(G) ) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/KRS/KRS115+1.tptp',unknown),
[] ).
cnf(173057288,plain,
( rf1(A,y_nn_4(A))
| ~ cunsatisfiable(A) ),
inference(rewrite,[status(thm)],[axiom_2]),
[] ).
fof(axiom_8,plain,
cunsatisfiable(i2003_11_14_17_21_30578),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/KRS/KRS115+1.tptp',unknown),
[] ).
cnf(172838592,plain,
cunsatisfiable(i2003_11_14_17_21_30578),
inference(rewrite,[status(thm)],[axiom_8]),
[] ).
cnf(178415016,plain,
rf1(i2003_11_14_17_21_30578,y_nn_4(i2003_11_14_17_21_30578)),
inference(resolution,[status(thm)],[173057288,172838592]),
[] ).
fof(axiom_6,plain,
! [A,B,C] :
( ~ cowlthing(A)
| ~ rf1(A,B)
| ~ rf1(A,C)
| $equal(C,B) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/KRS/KRS115+1.tptp',unknown),
[] ).
fof(axiom_0,plain,
! [A] :
( cowlthing(A)
& ~ cowlnothing(A) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/KRS/KRS115+1.tptp',unknown),
[] ).
cnf(172982904,plain,
cowlthing(A),
inference(rewrite,[status(thm)],[axiom_0]),
[] ).
cnf(173103192,plain,
( ~ rf1(A,B)
| ~ rf1(A,C)
| $equal(C,B) ),
inference(rewrite__forward_subsumption_resolution,[status(thm)],[axiom_6,172982904]),
[] ).
fof(cp2xcomp_substitution_1,plain,
! [B,A] :
( ~ $equal(B,A)
| ~ cp2xcomp(A)
| cp2xcomp(B) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/KRS/KRS115+1.tptp',unknown),
[] ).
cnf(172895864,plain,
( ~ $equal(B,A)
| ~ cp2xcomp(A)
| cp2xcomp(B) ),
inference(rewrite,[status(thm)],[cp2xcomp_substitution_1]),
[] ).
fof(axiom_5,plain,
! [A,C] :
( ( ~ cp2xcomp(A)
| ra_px1(A,y0_nn_1(A)) )
& ( cp2xcomp(A)
| ~ ra_px1(A,C) ) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/KRS/KRS115+1.tptp',unknown),
[] ).
cnf(173094840,plain,
( ~ cp2xcomp(A)
| ra_px1(A,y0_nn_1(A)) ),
inference(rewrite,[status(thm)],[axiom_5]),
[] ).
fof(axiom_4,plain,
! [A,B] :
( ( ~ cp2(A)
| ~ ra_px1(A,B) )
& ( cp2(A)
| ra_px1(A,y(A,B)) ) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/KRS/KRS115+1.tptp',unknown),
[] ).
cnf(173081416,plain,
( ~ cp2(A)
| ~ ra_px1(A,B) ),
inference(rewrite,[status(thm)],[axiom_4]),
[] ).
cnf(173021192,plain,
( cp2(y_nn_5(A))
| ~ cunsatisfiable(A) ),
inference(rewrite,[status(thm)],[axiom_2]),
[] ).
cnf(178360120,plain,
cp2(y_nn_5(i2003_11_14_17_21_30578)),
inference(resolution,[status(thm)],[173021192,172838592]),
[] ).
cnf(178450920,plain,
~ ra_px1(y_nn_5(i2003_11_14_17_21_30578),A),
inference(resolution,[status(thm)],[173081416,178360120]),
[] ).
cnf(178770752,plain,
~ cp2xcomp(y_nn_5(i2003_11_14_17_21_30578)),
inference(resolution,[status(thm)],[173094840,178450920]),
[] ).
cnf(178807128,plain,
( ~ $equal(y_nn_5(i2003_11_14_17_21_30578),A)
| ~ cp2xcomp(A) ),
inference(resolution,[status(thm)],[172895864,178770752]),
[] ).
fof(axiom_3,plain,
! [A] :
( ~ cp1(A)
| cp2xcomp(A) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/KRS/KRS115+1.tptp',unknown),
[] ).
cnf(173064144,plain,
( ~ cp1(A)
| cp2xcomp(A) ),
inference(rewrite,[status(thm)],[axiom_3]),
[] ).
cnf(173046200,plain,
( cp1(y_nn_4(A))
| ~ cunsatisfiable(A) ),
inference(rewrite,[status(thm)],[axiom_2]),
[] ).
cnf(178372680,plain,
cp1(y_nn_4(i2003_11_14_17_21_30578)),
inference(resolution,[status(thm)],[173046200,172838592]),
[] ).
cnf(178500384,plain,
cp2xcomp(y_nn_4(i2003_11_14_17_21_30578)),
inference(resolution,[status(thm)],[173064144,178372680]),
[] ).
cnf(178820880,plain,
~ $equal(y_nn_5(i2003_11_14_17_21_30578),y_nn_4(i2003_11_14_17_21_30578)),
inference(resolution,[status(thm)],[178807128,178500384]),
[] ).
cnf(179131824,plain,
( ~ rf1(A,y_nn_4(i2003_11_14_17_21_30578))
| ~ rf1(A,y_nn_5(i2003_11_14_17_21_30578)) ),
inference(resolution,[status(thm)],[173103192,178820880]),
[] ).
fof(axiom_10,plain,
! [A,B] :
( ~ rr(A,B)
| rf1(A,B) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/KRS/KRS115+1.tptp',unknown),
[] ).
cnf(173132144,plain,
( ~ rr(A,B)
| rf1(A,B) ),
inference(rewrite,[status(thm)],[axiom_10]),
[] ).
fof(rr_substitution_2,plain,
! [B,A,C] :
( ~ $equal(B,A)
| ~ rr(C,A)
| rr(C,B) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/KRS/KRS115+1.tptp',unknown),
[] ).
cnf(172947856,plain,
( ~ $equal(B,A)
| ~ rr(C,A)
| rr(C,B) ),
inference(rewrite,[status(thm)],[rr_substitution_2]),
[] ).
cnf(173039328,plain,
( rr(A,y_nn_3(A))
| ~ cunsatisfiable(A) ),
inference(rewrite,[status(thm)],[axiom_2]),
[] ).
cnf(178405016,plain,
rr(i2003_11_14_17_21_30578,y_nn_3(i2003_11_14_17_21_30578)),
inference(resolution,[status(thm)],[173039328,172838592]),
[] ).
cnf(178640608,plain,
( ~ $equal(A,y_nn_3(i2003_11_14_17_21_30578))
| rr(i2003_11_14_17_21_30578,A) ),
inference(resolution,[status(thm)],[172947856,178405016]),
[] ).
fof(axiom_7,plain,
! [A,B,C] :
( ~ cowlthing(A)
| ~ rf2(A,B)
| ~ rf2(A,C)
| $equal(C,B) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/KRS/KRS115+1.tptp',unknown),
[] ).
cnf(173115664,plain,
( ~ rf2(A,B)
| ~ rf2(A,C)
| $equal(C,B) ),
inference(rewrite__forward_subsumption_resolution,[status(thm)],[axiom_7,172982904]),
[] ).
cnf(173032312,plain,
( rf2(A,y_nn_5(A))
| ~ cunsatisfiable(A) ),
inference(rewrite,[status(thm)],[axiom_2]),
[] ).
cnf(178383608,plain,
rf2(i2003_11_14_17_21_30578,y_nn_5(i2003_11_14_17_21_30578)),
inference(resolution,[status(thm)],[173032312,172838592]),
[] ).
cnf(178597472,plain,
( ~ rf2(i2003_11_14_17_21_30578,A)
| $equal(y_nn_5(i2003_11_14_17_21_30578),A) ),
inference(resolution,[status(thm)],[173115664,178383608]),
[] ).
fof(axiom_9,plain,
! [A,B] :
( ~ rr(A,B)
| rf2(A,B) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/KRS/KRS115+1.tptp',unknown),
[] ).
cnf(173126936,plain,
( ~ rr(A,B)
| rf2(A,B) ),
inference(rewrite,[status(thm)],[axiom_9]),
[] ).
cnf(178605824,plain,
rf2(i2003_11_14_17_21_30578,y_nn_3(i2003_11_14_17_21_30578)),
inference(resolution,[status(thm)],[173126936,178405016]),
[] ).
cnf(178695960,plain,
$equal(y_nn_5(i2003_11_14_17_21_30578),y_nn_3(i2003_11_14_17_21_30578)),
inference(resolution,[status(thm)],[178597472,178605824]),
[] ).
cnf(178896576,plain,
rr(i2003_11_14_17_21_30578,y_nn_5(i2003_11_14_17_21_30578)),
inference(resolution,[status(thm)],[178640608,178695960]),
[] ).
cnf(178909280,plain,
rf1(i2003_11_14_17_21_30578,y_nn_5(i2003_11_14_17_21_30578)),
inference(resolution,[status(thm)],[173132144,178896576]),
[] ).
cnf(contradiction,plain,
$false,
inference(forward_subsumption_resolution__resolution,[status(thm)],[178415016,179131824,178909280]),
[] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% Proof found in: 0 seconds
% START OF PROOF SEQUENCE
% fof(axiom_2,plain,(((rf1(A,y_nn_4(A))|~cunsatisfiable(A))&(cp1(y_nn_4(A))|~cunsatisfiable(A))&(rr(A,y_nn_3(A))|~cunsatisfiable(A))&(cowlthing(y_nn_3(A))|~cunsatisfiable(A))&(rf2(A,y_nn_5(A))|~cunsatisfiable(A))&(cp2(y_nn_5(A))|~cunsatisfiable(A))&(cunsatisfiable(A)|~rf2(A,E)|~cp2(E)|~rf1(A,F)|~cp1(F)|~rr(A,G)|~cowlthing(G)))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/KRS/KRS115+1.tptp',unknown),[]).
%
% cnf(173057288,plain,(rf1(A,y_nn_4(A))|~cunsatisfiable(A)),inference(rewrite,[status(thm)],[axiom_2]),[]).
%
% fof(axiom_8,plain,(cunsatisfiable(i2003_11_14_17_21_30578)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/KRS/KRS115+1.tptp',unknown),[]).
%
% cnf(172838592,plain,(cunsatisfiable(i2003_11_14_17_21_30578)),inference(rewrite,[status(thm)],[axiom_8]),[]).
%
% cnf(178415016,plain,(rf1(i2003_11_14_17_21_30578,y_nn_4(i2003_11_14_17_21_30578))),inference(resolution,[status(thm)],[173057288,172838592]),[]).
%
% fof(axiom_6,plain,(~cowlthing(A)|~rf1(A,B)|~rf1(A,C)|$equal(C,B)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/KRS/KRS115+1.tptp',unknown),[]).
%
% fof(axiom_0,plain,((cowlthing(A)&~cowlnothing(A))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/KRS/KRS115+1.tptp',unknown),[]).
%
% cnf(172982904,plain,(cowlthing(A)),inference(rewrite,[status(thm)],[axiom_0]),[]).
%
% cnf(173103192,plain,(~rf1(A,B)|~rf1(A,C)|$equal(C,B)),inference(rewrite__forward_subsumption_resolution,[status(thm)],[axiom_6,172982904]),[]).
%
% fof(cp2xcomp_substitution_1,plain,(~$equal(B,A)|~cp2xcomp(A)|cp2xcomp(B)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/KRS/KRS115+1.tptp',unknown),[]).
%
% cnf(172895864,plain,(~$equal(B,A)|~cp2xcomp(A)|cp2xcomp(B)),inference(rewrite,[status(thm)],[cp2xcomp_substitution_1]),[]).
%
% fof(axiom_5,plain,(((~cp2xcomp(A)|ra_px1(A,y0_nn_1(A)))&(cp2xcomp(A)|~ra_px1(A,C)))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/KRS/KRS115+1.tptp',unknown),[]).
%
% cnf(173094840,plain,(~cp2xcomp(A)|ra_px1(A,y0_nn_1(A))),inference(rewrite,[status(thm)],[axiom_5]),[]).
%
% fof(axiom_4,plain,(((~cp2(A)|~ra_px1(A,B))&(cp2(A)|ra_px1(A,y(A,B))))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/KRS/KRS115+1.tptp',unknown),[]).
%
% cnf(173081416,plain,(~cp2(A)|~ra_px1(A,B)),inference(rewrite,[status(thm)],[axiom_4]),[]).
%
% cnf(173021192,plain,(cp2(y_nn_5(A))|~cunsatisfiable(A)),inference(rewrite,[status(thm)],[axiom_2]),[]).
%
% cnf(178360120,plain,(cp2(y_nn_5(i2003_11_14_17_21_30578))),inference(resolution,[status(thm)],[173021192,172838592]),[]).
%
% cnf(178450920,plain,(~ra_px1(y_nn_5(i2003_11_14_17_21_30578),A)),inference(resolution,[status(thm)],[173081416,178360120]),[]).
%
% cnf(178770752,plain,(~cp2xcomp(y_nn_5(i2003_11_14_17_21_30578))),inference(resolution,[status(thm)],[173094840,178450920]),[]).
%
% cnf(178807128,plain,(~$equal(y_nn_5(i2003_11_14_17_21_30578),A)|~cp2xcomp(A)),inference(resolution,[status(thm)],[172895864,178770752]),[]).
%
% fof(axiom_3,plain,(~cp1(A)|cp2xcomp(A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/KRS/KRS115+1.tptp',unknown),[]).
%
% cnf(173064144,plain,(~cp1(A)|cp2xcomp(A)),inference(rewrite,[status(thm)],[axiom_3]),[]).
%
% cnf(173046200,plain,(cp1(y_nn_4(A))|~cunsatisfiable(A)),inference(rewrite,[status(thm)],[axiom_2]),[]).
%
% cnf(178372680,plain,(cp1(y_nn_4(i2003_11_14_17_21_30578))),inference(resolution,[status(thm)],[173046200,172838592]),[]).
%
% cnf(178500384,plain,(cp2xcomp(y_nn_4(i2003_11_14_17_21_30578))),inference(resolution,[status(thm)],[173064144,178372680]),[]).
%
% cnf(178820880,plain,(~$equal(y_nn_5(i2003_11_14_17_21_30578),y_nn_4(i2003_11_14_17_21_30578))),inference(resolution,[status(thm)],[178807128,178500384]),[]).
%
% cnf(179131824,plain,(~rf1(A,y_nn_4(i2003_11_14_17_21_30578))|~rf1(A,y_nn_5(i2003_11_14_17_21_30578))),inference(resolution,[status(thm)],[173103192,178820880]),[]).
%
% fof(axiom_10,plain,(~rr(A,B)|rf1(A,B)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/KRS/KRS115+1.tptp',unknown),[]).
%
% cnf(173132144,plain,(~rr(A,B)|rf1(A,B)),inference(rewrite,[status(thm)],[axiom_10]),[]).
%
% fof(rr_substitution_2,plain,(~$equal(B,A)|~rr(C,A)|rr(C,B)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/KRS/KRS115+1.tptp',unknown),[]).
%
% cnf(172947856,plain,(~$equal(B,A)|~rr(C,A)|rr(C,B)),inference(rewrite,[status(thm)],[rr_substitution_2]),[]).
%
% cnf(173039328,plain,(rr(A,y_nn_3(A))|~cunsatisfiable(A)),inference(rewrite,[status(thm)],[axiom_2]),[]).
%
% cnf(178405016,plain,(rr(i2003_11_14_17_21_30578,y_nn_3(i2003_11_14_17_21_30578))),inference(resolution,[status(thm)],[173039328,172838592]),[]).
%
% cnf(178640608,plain,(~$equal(A,y_nn_3(i2003_11_14_17_21_30578))|rr(i2003_11_14_17_21_30578,A)),inference(resolution,[status(thm)],[172947856,178405016]),[]).
%
% fof(axiom_7,plain,(~cowlthing(A)|~rf2(A,B)|~rf2(A,C)|$equal(C,B)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/KRS/KRS115+1.tptp',unknown),[]).
%
% cnf(173115664,plain,(~rf2(A,B)|~rf2(A,C)|$equal(C,B)),inference(rewrite__forward_subsumption_resolution,[status(thm)],[axiom_7,172982904]),[]).
%
% cnf(173032312,plain,(rf2(A,y_nn_5(A))|~cunsatisfiable(A)),inference(rewrite,[status(thm)],[axiom_2]),[]).
%
% cnf(178383608,plain,(rf2(i2003_11_14_17_21_30578,y_nn_5(i2003_11_14_17_21_30578))),inference(resolution,[status(thm)],[173032312,172838592]),[]).
%
% cnf(178597472,plain,(~rf2(i2003_11_14_17_21_30578,A)|$equal(y_nn_5(i2003_11_14_17_21_30578),A)),inference(resolution,[status(thm)],[173115664,178383608]),[]).
%
% fof(axiom_9,plain,(~rr(A,B)|rf2(A,B)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/KRS/KRS115+1.tptp',unknown),[]).
%
% cnf(173126936,plain,(~rr(A,B)|rf2(A,B)),inference(rewrite,[status(thm)],[axiom_9]),[]).
%
% cnf(178605824,plain,(rf2(i2003_11_14_17_21_30578,y_nn_3(i2003_11_14_17_21_30578))),inference(resolution,[status(thm)],[173126936,178405016]),[]).
%
% cnf(178695960,plain,($equal(y_nn_5(i2003_11_14_17_21_30578),y_nn_3(i2003_11_14_17_21_30578))),inference(resolution,[status(thm)],[178597472,178605824]),[]).
%
% cnf(178896576,plain,(rr(i2003_11_14_17_21_30578,y_nn_5(i2003_11_14_17_21_30578))),inference(resolution,[status(thm)],[178640608,178695960]),[]).
%
% cnf(178909280,plain,(rf1(i2003_11_14_17_21_30578,y_nn_5(i2003_11_14_17_21_30578))),inference(resolution,[status(thm)],[173132144,178896576]),[]).
%
% cnf(contradiction,plain,$false,inference(forward_subsumption_resolution__resolution,[status(thm)],[178415016,179131824,178909280]),[]).
%
% END OF PROOF SEQUENCE
% faust: ../JJParser/Signature.c:39: void FreeSignatureList(SymbolNodeType**): Assertion `(*Symbols)->NumberOfUses == 0' failed.
%
%------------------------------------------------------------------------------