%------------------------------------------------------------------------------
% File : Faust---1.0
% Problem : KRS100+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 13:27:19 EDT 2009
% Result : Unsatisfiable 0.0s
% Output : Refutation 0.0s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 2
% Syntax : Number of formulae : 12 ( 5 unt; 0 def)
% Number of atoms : 61 ( 0 equ)
% Maximal formula atoms : 41 ( 5 avg)
% Number of connectives : 79 ( 30 ~; 40 |; 9 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 18 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 1 con; 0-3 aty)
% Number of variables : 20 ( 8 sgn 4 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Faust---1.0 format not known, defaulting to TPTP
fof(axiom_2,plain,
! [A,C,B,G] :
( ( ~ rr(A,C)
| cd(C)
| ~ cunsatisfiable(A) )
& ( rr(A,y_nn_3(A,B,C))
| ~ cunsatisfiable(A) )
& ( ~ ce(y_nn_3(A,B,C))
| ~ cunsatisfiable(A) )
& ( ~ rr(A,B)
| ce(B)
| ~ cd(B)
| ~ cunsatisfiable(A) )
& ( ~ cd(y_nn_1(A,B,C))
| ~ rr(A,G)
| ce(G)
| ~ ce(y_nn_2(A,B,C))
| cunsatisfiable(A) )
& ( rr(A,y_nn_1(A,B,C))
| ~ rr(A,G)
| ce(G)
| ~ ce(y_nn_2(A,B,C))
| cunsatisfiable(A) )
& ( ~ cd(y_nn_1(A,B,C))
| ~ rr(A,G)
| ce(G)
| cd(y_nn_2(A,B,C))
| cunsatisfiable(A) )
& ( rr(A,y_nn_1(A,B,C))
| ~ rr(A,G)
| ce(G)
| cd(y_nn_2(A,B,C))
| cunsatisfiable(A) )
& ( ~ cd(y_nn_1(A,B,C))
| ~ rr(A,G)
| ce(G)
| rr(A,y_nn_2(A,B,C))
| cunsatisfiable(A) )
& ( rr(A,y_nn_1(A,B,C))
| ~ rr(A,G)
| ce(G)
| rr(A,y_nn_2(A,B,C))
| cunsatisfiable(A) ) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/KRS/KRS100+1.tptp',unknown),
[] ).
cnf(174354744,plain,
( rr(A,y_nn_3(A,B,C))
| ~ cunsatisfiable(A) ),
inference(rewrite,[status(thm)],[axiom_2]),
[] ).
fof(axiom_4,plain,
cunsatisfiable(i2003_11_14_17_20_32704),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/KRS/KRS100+1.tptp',unknown),
[] ).
cnf(174373256,plain,
cunsatisfiable(i2003_11_14_17_20_32704),
inference(rewrite,[status(thm)],[axiom_4]),
[] ).
cnf(179586840,plain,
rr(i2003_11_14_17_20_32704,y_nn_3(i2003_11_14_17_20_32704,A,B)),
inference(resolution,[status(thm)],[174354744,174373256]),
[] ).
cnf(174361632,plain,
( ~ rr(A,C)
| cd(C)
| ~ cunsatisfiable(A) ),
inference(rewrite,[status(thm)],[axiom_2]),
[] ).
cnf(179601576,plain,
( ~ rr(i2003_11_14_17_20_32704,B)
| cd(B) ),
inference(resolution,[status(thm)],[174361632,174373256]),
[] ).
cnf(174338080,plain,
( ~ rr(A,B)
| ce(B)
| ~ cd(B)
| ~ cunsatisfiable(A) ),
inference(rewrite,[status(thm)],[axiom_2]),
[] ).
cnf(179611664,plain,
( ~ rr(i2003_11_14_17_20_32704,A)
| ce(A) ),
inference(forward_subsumption_resolution__resolution,[status(thm)],[179601576,174338080,174373256]),
[] ).
cnf(174344768,plain,
( ~ ce(y_nn_3(A,B,C))
| ~ cunsatisfiable(A) ),
inference(rewrite,[status(thm)],[axiom_2]),
[] ).
cnf(179576848,plain,
~ ce(y_nn_3(i2003_11_14_17_20_32704,A,B)),
inference(resolution,[status(thm)],[174344768,174373256]),
[] ).
cnf(contradiction,plain,
$false,
inference(forward_subsumption_resolution__resolution,[status(thm)],[179586840,179611664,179576848]),
[] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% Proof found in: 0 seconds
% START OF PROOF SEQUENCE
% fof(axiom_2,plain,(((~rr(A,C)|cd(C)|~cunsatisfiable(A))&(rr(A,y_nn_3(A,B,C))|~cunsatisfiable(A))&(~ce(y_nn_3(A,B,C))|~cunsatisfiable(A))&(~rr(A,B)|ce(B)|~cd(B)|~cunsatisfiable(A))&(~cd(y_nn_1(A,B,C))|~rr(A,G)|ce(G)|~ce(y_nn_2(A,B,C))|cunsatisfiable(A))&(rr(A,y_nn_1(A,B,C))|~rr(A,G)|ce(G)|~ce(y_nn_2(A,B,C))|cunsatisfiable(A))&(~cd(y_nn_1(A,B,C))|~rr(A,G)|ce(G)|cd(y_nn_2(A,B,C))|cunsatisfiable(A))&(rr(A,y_nn_1(A,B,C))|~rr(A,G)|ce(G)|cd(y_nn_2(A,B,C))|cunsatisfiable(A))&(~cd(y_nn_1(A,B,C))|~rr(A,G)|ce(G)|rr(A,y_nn_2(A,B,C))|cunsatisfiable(A))&(rr(A,y_nn_1(A,B,C))|~rr(A,G)|ce(G)|rr(A,y_nn_2(A,B,C))|cunsatisfiable(A)))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/KRS/KRS100+1.tptp',unknown),[]).
%
% cnf(174354744,plain,(rr(A,y_nn_3(A,B,C))|~cunsatisfiable(A)),inference(rewrite,[status(thm)],[axiom_2]),[]).
%
% fof(axiom_4,plain,(cunsatisfiable(i2003_11_14_17_20_32704)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/KRS/KRS100+1.tptp',unknown),[]).
%
% cnf(174373256,plain,(cunsatisfiable(i2003_11_14_17_20_32704)),inference(rewrite,[status(thm)],[axiom_4]),[]).
%
% cnf(179586840,plain,(rr(i2003_11_14_17_20_32704,y_nn_3(i2003_11_14_17_20_32704,A,B))),inference(resolution,[status(thm)],[174354744,174373256]),[]).
%
% cnf(174361632,plain,(~rr(A,C)|cd(C)|~cunsatisfiable(A)),inference(rewrite,[status(thm)],[axiom_2]),[]).
%
% cnf(179601576,plain,(~rr(i2003_11_14_17_20_32704,B)|cd(B)),inference(resolution,[status(thm)],[174361632,174373256]),[]).
%
% cnf(174338080,plain,(~rr(A,B)|ce(B)|~cd(B)|~cunsatisfiable(A)),inference(rewrite,[status(thm)],[axiom_2]),[]).
%
% cnf(179611664,plain,(~rr(i2003_11_14_17_20_32704,A)|ce(A)),inference(forward_subsumption_resolution__resolution,[status(thm)],[179601576,174338080,174373256]),[]).
%
% cnf(174344768,plain,(~ce(y_nn_3(A,B,C))|~cunsatisfiable(A)),inference(rewrite,[status(thm)],[axiom_2]),[]).
%
% cnf(179576848,plain,(~ce(y_nn_3(i2003_11_14_17_20_32704,A,B))),inference(resolution,[status(thm)],[174344768,174373256]),[]).
%
% cnf(contradiction,plain,$false,inference(forward_subsumption_resolution__resolution,[status(thm)],[179586840,179611664,179576848]),[]).
%
% END OF PROOF SEQUENCE
% faust: ../JJParser/Signature.c:39: void FreeSignatureList(SymbolNodeType**): Assertion `(*Symbols)->NumberOfUses == 0' failed.
%
%------------------------------------------------------------------------------