TSTP Solution File: KRS073+1 by Faust---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Faust---1.0
% Problem : KRS073+1 : TPTP v3.4.2. Released v3.1.0.
% Transfm : none
% Format : tptp
% Command : faust %s
% Computer : art06.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 13:26:10 EDT 2009
% Result : Unsatisfiable 1.0s
% Output : Refutation 1.0s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 7
% Syntax : Number of formulae : 29 ( 10 unt; 0 def)
% Number of atoms : 91 ( 0 equ)
% Maximal formula atoms : 35 ( 3 avg)
% Number of connectives : 113 ( 51 ~; 52 |; 10 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 19 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 8 ( 6 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 1 con; 0-4 aty)
% Number of variables : 43 ( 4 sgn 17 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Faust---1.0 format not known, defaulting to TPTP
fof(axiom_2,plain,
! [A,C,D,F,I] :
( ( ~ cp(A)
| ~ cunsatisfiable(A) )
& ( rf(A,y_nn_1(A))
| ~ cunsatisfiable(A) )
& ( ~ rinvs(y_nn_1(A),C)
| cp(C)
| ~ cunsatisfiable(A) )
& ( cp(w_nn_5(A,C,D))
| ~ rinvf(y_nn_1(A),D)
| ~ cunsatisfiable(A) )
& ( rs(D,w_nn_5(A,C,D))
| ~ rinvf(y_nn_1(A),D)
| ~ cunsatisfiable(A) )
& ( ~ rs(z(A,C,D,F),I)
| ~ cp(I)
| rinvs(F,z_nn_2(A,C,D,F))
| ~ rf(A,F)
| cp(A)
| cunsatisfiable(A) )
& ( rinvf(F,z(A,C,D,F))
| rinvs(F,z_nn_2(A,C,D,F))
| ~ rf(A,F)
| cp(A)
| cunsatisfiable(A) )
& ( ~ rs(z(A,C,D,F),I)
| ~ cp(I)
| ~ cp(z_nn_2(A,C,D,F))
| ~ rf(A,F)
| cp(A)
| cunsatisfiable(A) )
& ( rinvf(F,z(A,C,D,F))
| ~ cp(z_nn_2(A,C,D,F))
| ~ rf(A,F)
| cp(A)
| cunsatisfiable(A) ) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/KRS/KRS073+1.tptp',unknown),
[] ).
cnf(172894440,plain,
( rs(D,w_nn_5(A,C,D))
| ~ rinvf(y_nn_1(A),D)
| ~ cunsatisfiable(A) ),
inference(rewrite,[status(thm)],[axiom_2]),
[] ).
fof(axiom_9,plain,
cunsatisfiable(i2003_11_14_17_18_54369),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/KRS/KRS073+1.tptp',unknown),
[] ).
cnf(173025472,plain,
cunsatisfiable(i2003_11_14_17_18_54369),
inference(rewrite,[status(thm)],[axiom_9]),
[] ).
cnf(178367328,plain,
( rs(C,w_nn_5(i2003_11_14_17_18_54369,B,C))
| ~ rinvf(y_nn_1(i2003_11_14_17_18_54369),C) ),
inference(resolution,[status(thm)],[172894440,173025472]),
[] ).
fof(axiom_5,plain,
! [A,B] :
( ( ~ rinvf(A,B)
| rf(B,A) )
& ( rinvf(A,B)
| ~ rf(B,A) ) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/KRS/KRS073+1.tptp',unknown),
[] ).
cnf(172976632,plain,
( rinvf(A,B)
| ~ rf(B,A) ),
inference(rewrite,[status(thm)],[axiom_5]),
[] ).
cnf(172938384,plain,
( rf(A,y_nn_1(A))
| ~ cunsatisfiable(A) ),
inference(rewrite,[status(thm)],[axiom_2]),
[] ).
cnf(178279960,plain,
rf(i2003_11_14_17_18_54369,y_nn_1(i2003_11_14_17_18_54369)),
inference(resolution,[status(thm)],[172938384,173025472]),
[] ).
cnf(178413288,plain,
rinvf(y_nn_1(i2003_11_14_17_18_54369),i2003_11_14_17_18_54369),
inference(resolution,[status(thm)],[172976632,178279960]),
[] ).
cnf(178509168,plain,
rs(i2003_11_14_17_18_54369,w_nn_5(i2003_11_14_17_18_54369,B,i2003_11_14_17_18_54369)),
inference(resolution,[status(thm)],[178367328,178413288]),
[] ).
fof(axiom_11,plain,
! [A,B] :
( ~ rs(A,B)
| rf(A,B) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/KRS/KRS073+1.tptp',unknown),
[] ).
cnf(173040152,plain,
( ~ rs(A,B)
| rf(A,B) ),
inference(rewrite,[status(thm)],[axiom_11]),
[] ).
fof(axiom_3,plain,
! [A,B,C] :
( ~ rf(A,B)
| ~ rf(A,C)
| $equal(C,B) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/KRS/KRS073+1.tptp',unknown),
[] ).
cnf(172957928,plain,
( ~ rf(A,B)
| ~ rf(A,C)
| $equal(C,B) ),
inference(rewrite,[status(thm)],[axiom_3]),
[] ).
cnf(178462648,plain,
( ~ rf(i2003_11_14_17_18_54369,A)
| $equal(y_nn_1(i2003_11_14_17_18_54369),A) ),
inference(resolution,[status(thm)],[172957928,178279960]),
[] ).
fof(rs_substitution_2,plain,
! [B,A,C] :
( ~ $equal(B,A)
| ~ rs(C,A)
| rs(C,B) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/KRS/KRS073+1.tptp',unknown),
[] ).
cnf(172705352,plain,
( ~ $equal(B,A)
| ~ rs(C,A)
| rs(C,B) ),
inference(rewrite,[status(thm)],[rs_substitution_2]),
[] ).
fof(axiom_7,plain,
! [A,B] :
( ( ~ rinvs(A,B)
| rs(B,A) )
& ( rinvs(A,B)
| ~ rs(B,A) ) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/KRS/KRS073+1.tptp',unknown),
[] ).
cnf(173007456,plain,
( rinvs(A,B)
| ~ rs(B,A) ),
inference(rewrite,[status(thm)],[axiom_7]),
[] ).
cnf(172931528,plain,
( ~ rinvs(y_nn_1(A),C)
| cp(C)
| ~ cunsatisfiable(A) ),
inference(rewrite,[status(thm)],[axiom_2]),
[] ).
cnf(178316744,plain,
( ~ rinvs(y_nn_1(i2003_11_14_17_18_54369),B)
| cp(B) ),
inference(resolution,[status(thm)],[172931528,173025472]),
[] ).
cnf(172949408,plain,
( ~ cp(A)
| ~ cunsatisfiable(A) ),
inference(rewrite,[status(thm)],[axiom_2]),
[] ).
cnf(178265752,plain,
~ cp(i2003_11_14_17_18_54369),
inference(resolution,[status(thm)],[172949408,173025472]),
[] ).
cnf(178400712,plain,
~ rinvs(y_nn_1(i2003_11_14_17_18_54369),i2003_11_14_17_18_54369),
inference(resolution,[status(thm)],[178316744,178265752]),
[] ).
cnf(178525696,plain,
~ rs(i2003_11_14_17_18_54369,y_nn_1(i2003_11_14_17_18_54369)),
inference(resolution,[status(thm)],[173007456,178400712]),
[] ).
cnf(178647440,plain,
( ~ $equal(y_nn_1(i2003_11_14_17_18_54369),A)
| ~ rs(i2003_11_14_17_18_54369,A) ),
inference(resolution,[status(thm)],[172705352,178525696]),
[] ).
cnf(181144192,plain,
~ rs(i2003_11_14_17_18_54369,A),
inference(forward_subsumption_resolution__resolution,[status(thm)],[173040152,178462648,178647440]),
[] ).
cnf(contradiction,plain,
$false,
inference(resolution,[status(thm)],[178509168,181144192]),
[] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% Proof found in: 1 seconds
% START OF PROOF SEQUENCE
% fof(axiom_2,plain,(((~cp(A)|~cunsatisfiable(A))&(rf(A,y_nn_1(A))|~cunsatisfiable(A))&(~rinvs(y_nn_1(A),C)|cp(C)|~cunsatisfiable(A))&(cp(w_nn_5(A,C,D))|~rinvf(y_nn_1(A),D)|~cunsatisfiable(A))&(rs(D,w_nn_5(A,C,D))|~rinvf(y_nn_1(A),D)|~cunsatisfiable(A))&(~rs(z(A,C,D,F),I)|~cp(I)|rinvs(F,z_nn_2(A,C,D,F))|~rf(A,F)|cp(A)|cunsatisfiable(A))&(rinvf(F,z(A,C,D,F))|rinvs(F,z_nn_2(A,C,D,F))|~rf(A,F)|cp(A)|cunsatisfiable(A))&(~rs(z(A,C,D,F),I)|~cp(I)|~cp(z_nn_2(A,C,D,F))|~rf(A,F)|cp(A)|cunsatisfiable(A))&(rinvf(F,z(A,C,D,F))|~cp(z_nn_2(A,C,D,F))|~rf(A,F)|cp(A)|cunsatisfiable(A)))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/KRS/KRS073+1.tptp',unknown),[]).
%
% cnf(172894440,plain,(rs(D,w_nn_5(A,C,D))|~rinvf(y_nn_1(A),D)|~cunsatisfiable(A)),inference(rewrite,[status(thm)],[axiom_2]),[]).
%
% fof(axiom_9,plain,(cunsatisfiable(i2003_11_14_17_18_54369)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/KRS/KRS073+1.tptp',unknown),[]).
%
% cnf(173025472,plain,(cunsatisfiable(i2003_11_14_17_18_54369)),inference(rewrite,[status(thm)],[axiom_9]),[]).
%
% cnf(178367328,plain,(rs(C,w_nn_5(i2003_11_14_17_18_54369,B,C))|~rinvf(y_nn_1(i2003_11_14_17_18_54369),C)),inference(resolution,[status(thm)],[172894440,173025472]),[]).
%
% fof(axiom_5,plain,(((~rinvf(A,B)|rf(B,A))&(rinvf(A,B)|~rf(B,A)))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/KRS/KRS073+1.tptp',unknown),[]).
%
% cnf(172976632,plain,(rinvf(A,B)|~rf(B,A)),inference(rewrite,[status(thm)],[axiom_5]),[]).
%
% cnf(172938384,plain,(rf(A,y_nn_1(A))|~cunsatisfiable(A)),inference(rewrite,[status(thm)],[axiom_2]),[]).
%
% cnf(178279960,plain,(rf(i2003_11_14_17_18_54369,y_nn_1(i2003_11_14_17_18_54369))),inference(resolution,[status(thm)],[172938384,173025472]),[]).
%
% cnf(178413288,plain,(rinvf(y_nn_1(i2003_11_14_17_18_54369),i2003_11_14_17_18_54369)),inference(resolution,[status(thm)],[172976632,178279960]),[]).
%
% cnf(178509168,plain,(rs(i2003_11_14_17_18_54369,w_nn_5(i2003_11_14_17_18_54369,B,i2003_11_14_17_18_54369))),inference(resolution,[status(thm)],[178367328,178413288]),[]).
%
% fof(axiom_11,plain,(~rs(A,B)|rf(A,B)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/KRS/KRS073+1.tptp',unknown),[]).
%
% cnf(173040152,plain,(~rs(A,B)|rf(A,B)),inference(rewrite,[status(thm)],[axiom_11]),[]).
%
% fof(axiom_3,plain,(~rf(A,B)|~rf(A,C)|$equal(C,B)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/KRS/KRS073+1.tptp',unknown),[]).
%
% cnf(172957928,plain,(~rf(A,B)|~rf(A,C)|$equal(C,B)),inference(rewrite,[status(thm)],[axiom_3]),[]).
%
% cnf(178462648,plain,(~rf(i2003_11_14_17_18_54369,A)|$equal(y_nn_1(i2003_11_14_17_18_54369),A)),inference(resolution,[status(thm)],[172957928,178279960]),[]).
%
% fof(rs_substitution_2,plain,(~$equal(B,A)|~rs(C,A)|rs(C,B)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/KRS/KRS073+1.tptp',unknown),[]).
%
% cnf(172705352,plain,(~$equal(B,A)|~rs(C,A)|rs(C,B)),inference(rewrite,[status(thm)],[rs_substitution_2]),[]).
%
% fof(axiom_7,plain,(((~rinvs(A,B)|rs(B,A))&(rinvs(A,B)|~rs(B,A)))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/KRS/KRS073+1.tptp',unknown),[]).
%
% cnf(173007456,plain,(rinvs(A,B)|~rs(B,A)),inference(rewrite,[status(thm)],[axiom_7]),[]).
%
% cnf(172931528,plain,(~rinvs(y_nn_1(A),C)|cp(C)|~cunsatisfiable(A)),inference(rewrite,[status(thm)],[axiom_2]),[]).
%
% cnf(178316744,plain,(~rinvs(y_nn_1(i2003_11_14_17_18_54369),B)|cp(B)),inference(resolution,[status(thm)],[172931528,173025472]),[]).
%
% cnf(172949408,plain,(~cp(A)|~cunsatisfiable(A)),inference(rewrite,[status(thm)],[axiom_2]),[]).
%
% cnf(178265752,plain,(~cp(i2003_11_14_17_18_54369)),inference(resolution,[status(thm)],[172949408,173025472]),[]).
%
% cnf(178400712,plain,(~rinvs(y_nn_1(i2003_11_14_17_18_54369),i2003_11_14_17_18_54369)),inference(resolution,[status(thm)],[178316744,178265752]),[]).
%
% cnf(178525696,plain,(~rs(i2003_11_14_17_18_54369,y_nn_1(i2003_11_14_17_18_54369))),inference(resolution,[status(thm)],[173007456,178400712]),[]).
%
% cnf(178647440,plain,(~$equal(y_nn_1(i2003_11_14_17_18_54369),A)|~rs(i2003_11_14_17_18_54369,A)),inference(resolution,[status(thm)],[172705352,178525696]),[]).
%
% cnf(181144192,plain,(~rs(i2003_11_14_17_18_54369,A)),inference(forward_subsumption_resolution__resolution,[status(thm)],[173040152,178462648,178647440]),[]).
%
% cnf(contradiction,plain,$false,inference(resolution,[status(thm)],[178509168,181144192]),[]).
%
% END OF PROOF SEQUENCE
% faust: ../JJParser/Signature.c:39: void FreeSignatureList(SymbolNodeType**): Assertion `(*Symbols)->NumberOfUses == 0' failed.
%
%------------------------------------------------------------------------------