%------------------------------------------------------------------------------
% File : Faust---1.0
% Problem : KRS088+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 13:26:46 EDT 2009
% Result : Unsatisfiable 0.0s
% Output : Refutation 0.0s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 5
% Syntax : Number of formulae : 22 ( 9 unt; 0 def)
% Number of atoms : 60 ( 0 equ)
% Maximal formula atoms : 19 ( 2 avg)
% Number of connectives : 70 ( 32 ~; 32 |; 6 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 1 con; 0-3 aty)
% Number of variables : 26 ( 0 sgn 11 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Faust---1.0 format not known, defaulting to TPTP
fof(axiom_7,plain,
cunsatisfiable(i2003_11_14_17_19_49673),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/KRS/KRS088+1.tptp',unknown),
[] ).
cnf(164270016,plain,
cunsatisfiable(i2003_11_14_17_19_49673),
inference(rewrite,[status(thm)],[axiom_7]),
[] ).
fof(axiom_4,plain,
! [A,B] :
( ( ~ rinvf(A,B)
| rf(B,A) )
& ( rinvf(A,B)
| ~ rf(B,A) ) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/KRS/KRS088+1.tptp',unknown),
[] ).
cnf(164233200,plain,
( rinvf(A,B)
| ~ rf(B,A) ),
inference(rewrite,[status(thm)],[axiom_4]),
[] ).
fof(axiom_2,plain,
! [A,C,E,G] :
( ( ~ cp1(w_nn_3(A,C))
| ~ rinvf(y_nn_1(A),C)
| ~ cunsatisfiable(A) )
& ( rf(C,w_nn_3(A,C))
| ~ rinvf(y_nn_1(A),C)
| ~ cunsatisfiable(A) )
& ( cp1(y_nn_1(A))
| ~ cunsatisfiable(A) )
& ( rf(A,y_nn_1(A))
| ~ cunsatisfiable(A) )
& ( rinvf(E,z(A,C,E))
| ~ cp1(E)
| ~ rf(A,E)
| cunsatisfiable(A) )
& ( ~ rf(z(A,C,E),G)
| cp1(G)
| ~ cp1(E)
| ~ rf(A,E)
| cunsatisfiable(A) ) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/KRS/KRS088+1.tptp',unknown),
[] ).
cnf(164159600,plain,
( rf(A,y_nn_1(A))
| ~ cunsatisfiable(A) ),
inference(rewrite,[status(thm)],[axiom_2]),
[] ).
cnf(169489488,plain,
rf(i2003_11_14_17_19_49673,y_nn_1(i2003_11_14_17_19_49673)),
inference(resolution,[status(thm)],[164159600,164270016]),
[] ).
cnf(169629000,plain,
rinvf(y_nn_1(i2003_11_14_17_19_49673),i2003_11_14_17_19_49673),
inference(resolution,[status(thm)],[164233200,169489488]),
[] ).
cnf(164215584,plain,
( ~ cp1(w_nn_3(A,C))
| ~ rinvf(y_nn_1(A),C)
| ~ cunsatisfiable(A) ),
inference(rewrite,[status(thm)],[axiom_2]),
[] ).
fof(cp1_substitution_1,plain,
! [B,A] :
( ~ $equal(B,A)
| ~ cp1(A)
| cp1(B) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/KRS/KRS088+1.tptp',unknown),
[] ).
cnf(164000416,plain,
( ~ $equal(B,A)
| ~ cp1(A)
| cp1(B) ),
inference(rewrite,[status(thm)],[cp1_substitution_1]),
[] ).
cnf(164170528,plain,
( cp1(y_nn_1(A))
| ~ cunsatisfiable(A) ),
inference(rewrite,[status(thm)],[axiom_2]),
[] ).
cnf(169474600,plain,
cp1(y_nn_1(i2003_11_14_17_19_49673)),
inference(resolution,[status(thm)],[164170528,164270016]),
[] ).
cnf(169568584,plain,
( ~ $equal(A,y_nn_1(i2003_11_14_17_19_49673))
| cp1(A) ),
inference(resolution,[status(thm)],[164000416,169474600]),
[] ).
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/KRS088+1.tptp',unknown),
[] ).
cnf(164227312,plain,
( ~ rf(A,B)
| ~ rf(A,C)
| $equal(C,B) ),
inference(rewrite,[status(thm)],[axiom_3]),
[] ).
cnf(169658256,plain,
( ~ rf(i2003_11_14_17_19_49673,A)
| $equal(A,y_nn_1(i2003_11_14_17_19_49673)) ),
inference(resolution,[status(thm)],[164227312,169489488]),
[] ).
cnf(164195536,plain,
( rf(C,w_nn_3(A,C))
| ~ rinvf(y_nn_1(A),C)
| ~ cunsatisfiable(A) ),
inference(rewrite,[status(thm)],[axiom_2]),
[] ).
cnf(169700824,plain,
rf(i2003_11_14_17_19_49673,w_nn_3(i2003_11_14_17_19_49673,i2003_11_14_17_19_49673)),
inference(forward_subsumption_resolution__resolution,[status(thm)],[164270016,164195536,169629000]),
[] ).
cnf(169729192,plain,
$equal(w_nn_3(i2003_11_14_17_19_49673,i2003_11_14_17_19_49673),y_nn_1(i2003_11_14_17_19_49673)),
inference(resolution,[status(thm)],[169658256,169700824]),
[] ).
cnf(169888704,plain,
cp1(w_nn_3(i2003_11_14_17_19_49673,i2003_11_14_17_19_49673)),
inference(resolution,[status(thm)],[169568584,169729192]),
[] ).
cnf(contradiction,plain,
$false,
inference(forward_subsumption_resolution__resolution,[status(thm)],[164270016,169629000,164215584,169888704]),
[] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% Proof found in: 0 seconds
% START OF PROOF SEQUENCE
% fof(axiom_7,plain,(cunsatisfiable(i2003_11_14_17_19_49673)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/KRS/KRS088+1.tptp',unknown),[]).
%
% cnf(164270016,plain,(cunsatisfiable(i2003_11_14_17_19_49673)),inference(rewrite,[status(thm)],[axiom_7]),[]).
%
% fof(axiom_4,plain,(((~rinvf(A,B)|rf(B,A))&(rinvf(A,B)|~rf(B,A)))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/KRS/KRS088+1.tptp',unknown),[]).
%
% cnf(164233200,plain,(rinvf(A,B)|~rf(B,A)),inference(rewrite,[status(thm)],[axiom_4]),[]).
%
% fof(axiom_2,plain,(((~cp1(w_nn_3(A,C))|~rinvf(y_nn_1(A),C)|~cunsatisfiable(A))&(rf(C,w_nn_3(A,C))|~rinvf(y_nn_1(A),C)|~cunsatisfiable(A))&(cp1(y_nn_1(A))|~cunsatisfiable(A))&(rf(A,y_nn_1(A))|~cunsatisfiable(A))&(rinvf(E,z(A,C,E))|~cp1(E)|~rf(A,E)|cunsatisfiable(A))&(~rf(z(A,C,E),G)|cp1(G)|~cp1(E)|~rf(A,E)|cunsatisfiable(A)))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/KRS/KRS088+1.tptp',unknown),[]).
%
% cnf(164159600,plain,(rf(A,y_nn_1(A))|~cunsatisfiable(A)),inference(rewrite,[status(thm)],[axiom_2]),[]).
%
% cnf(169489488,plain,(rf(i2003_11_14_17_19_49673,y_nn_1(i2003_11_14_17_19_49673))),inference(resolution,[status(thm)],[164159600,164270016]),[]).
%
% cnf(169629000,plain,(rinvf(y_nn_1(i2003_11_14_17_19_49673),i2003_11_14_17_19_49673)),inference(resolution,[status(thm)],[164233200,169489488]),[]).
%
% cnf(164215584,plain,(~cp1(w_nn_3(A,C))|~rinvf(y_nn_1(A),C)|~cunsatisfiable(A)),inference(rewrite,[status(thm)],[axiom_2]),[]).
%
% fof(cp1_substitution_1,plain,(~$equal(B,A)|~cp1(A)|cp1(B)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/KRS/KRS088+1.tptp',unknown),[]).
%
% cnf(164000416,plain,(~$equal(B,A)|~cp1(A)|cp1(B)),inference(rewrite,[status(thm)],[cp1_substitution_1]),[]).
%
% cnf(164170528,plain,(cp1(y_nn_1(A))|~cunsatisfiable(A)),inference(rewrite,[status(thm)],[axiom_2]),[]).
%
% cnf(169474600,plain,(cp1(y_nn_1(i2003_11_14_17_19_49673))),inference(resolution,[status(thm)],[164170528,164270016]),[]).
%
% cnf(169568584,plain,(~$equal(A,y_nn_1(i2003_11_14_17_19_49673))|cp1(A)),inference(resolution,[status(thm)],[164000416,169474600]),[]).
%
% fof(axiom_3,plain,(~rf(A,B)|~rf(A,C)|$equal(C,B)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/KRS/KRS088+1.tptp',unknown),[]).
%
% cnf(164227312,plain,(~rf(A,B)|~rf(A,C)|$equal(C,B)),inference(rewrite,[status(thm)],[axiom_3]),[]).
%
% cnf(169658256,plain,(~rf(i2003_11_14_17_19_49673,A)|$equal(A,y_nn_1(i2003_11_14_17_19_49673))),inference(resolution,[status(thm)],[164227312,169489488]),[]).
%
% cnf(164195536,plain,(rf(C,w_nn_3(A,C))|~rinvf(y_nn_1(A),C)|~cunsatisfiable(A)),inference(rewrite,[status(thm)],[axiom_2]),[]).
%
% cnf(169700824,plain,(rf(i2003_11_14_17_19_49673,w_nn_3(i2003_11_14_17_19_49673,i2003_11_14_17_19_49673))),inference(forward_subsumption_resolution__resolution,[status(thm)],[164270016,164195536,169629000]),[]).
%
% cnf(169729192,plain,($equal(w_nn_3(i2003_11_14_17_19_49673,i2003_11_14_17_19_49673),y_nn_1(i2003_11_14_17_19_49673))),inference(resolution,[status(thm)],[169658256,169700824]),[]).
%
% cnf(169888704,plain,(cp1(w_nn_3(i2003_11_14_17_19_49673,i2003_11_14_17_19_49673))),inference(resolution,[status(thm)],[169568584,169729192]),[]).
%
% cnf(contradiction,plain,$false,inference(forward_subsumption_resolution__resolution,[status(thm)],[164270016,169629000,164215584,169888704]),[]).
%
% END OF PROOF SEQUENCE
% faust: ../JJParser/Signature.c:39: void FreeSignatureList(SymbolNodeType**): Assertion `(*Symbols)->NumberOfUses == 0' failed.
%
%------------------------------------------------------------------------------