TSTP Solution File: KRS085+1 by Faust---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Faust---1.0
% Problem : KRS085+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 13:26:39 EDT 2009
% Result : Unsatisfiable 0.0s
% Output : Refutation 0.0s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 4
% Syntax : Number of formulae : 19 ( 8 unt; 0 def)
% Number of atoms : 56 ( 0 equ)
% Maximal formula atoms : 23 ( 2 avg)
% Number of connectives : 69 ( 32 ~; 30 |; 7 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 3 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; 0-4 aty)
% Number of variables : 21 ( 0 sgn 9 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Faust---1.0 format not known, defaulting to TPTP
fof(axiom_6,plain,
! [A,B,C] :
( ~ rr(A,B)
| ~ rr(B,C)
| rr(A,C) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/KRS/KRS085+1.tptp',unknown),
[] ).
cnf(163680464,plain,
( ~ rr(A,B)
| ~ rr(B,C)
| rr(A,C) ),
inference(rewrite,[status(thm)],[axiom_6]),
[] ).
fof(axiom_2,plain,
! [A,D,F,E] :
( ( cp1(A)
| ~ cunsatisfiable(A) )
& ( rr(A,y_nn_1(A))
| ~ cunsatisfiable(A) )
& ( rr(y_nn_1(A),z_nn_2(A))
| ~ cunsatisfiable(A) )
& ( cp1(z_nn_2(A))
| ~ cunsatisfiable(A) )
& ( ~ rinvr(z_nn_2(A),D)
| ~ cp1(D)
| ~ cunsatisfiable(A) )
& ( rinvr(F,w(A,D,E,F))
| ~ cp1(F)
| ~ rr(E,F)
| ~ rr(A,E)
| ~ cp1(A)
| cunsatisfiable(A) )
& ( cp1(w(A,D,E,F))
| ~ cp1(F)
| ~ rr(E,F)
| ~ rr(A,E)
| ~ cp1(A)
| cunsatisfiable(A) ) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/KRS/KRS085+1.tptp',unknown),
[] ).
cnf(163630232,plain,
( rr(A,y_nn_1(A))
| ~ cunsatisfiable(A) ),
inference(rewrite,[status(thm)],[axiom_2]),
[] ).
fof(axiom_7,plain,
cunsatisfiable(i2003_11_14_17_19_39537),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/KRS/KRS085+1.tptp',unknown),
[] ).
cnf(163689408,plain,
cunsatisfiable(i2003_11_14_17_19_39537),
inference(rewrite,[status(thm)],[axiom_7]),
[] ).
cnf(168915760,plain,
rr(i2003_11_14_17_19_39537,y_nn_1(i2003_11_14_17_19_39537)),
inference(resolution,[status(thm)],[163630232,163689408]),
[] ).
cnf(169330344,plain,
( ~ rr(y_nn_1(i2003_11_14_17_19_39537),A)
| rr(i2003_11_14_17_19_39537,A) ),
inference(resolution,[status(thm)],[163680464,168915760]),
[] ).
cnf(163624088,plain,
( rr(y_nn_1(A),z_nn_2(A))
| ~ cunsatisfiable(A) ),
inference(rewrite,[status(thm)],[axiom_2]),
[] ).
cnf(168930632,plain,
rr(y_nn_1(i2003_11_14_17_19_39537),z_nn_2(i2003_11_14_17_19_39537)),
inference(resolution,[status(thm)],[163624088,163689408]),
[] ).
cnf(169466672,plain,
rr(i2003_11_14_17_19_39537,z_nn_2(i2003_11_14_17_19_39537)),
inference(resolution,[status(thm)],[169330344,168930632]),
[] ).
fof(axiom_5,plain,
! [A,B] :
( ( ~ rinvr(A,B)
| rr(B,A) )
& ( rinvr(A,B)
| ~ rr(B,A) ) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/KRS/KRS085+1.tptp',unknown),
[] ).
cnf(163666632,plain,
( rinvr(A,B)
| ~ rr(B,A) ),
inference(rewrite,[status(thm)],[axiom_5]),
[] ).
cnf(163607200,plain,
( ~ rinvr(z_nn_2(A),D)
| ~ cp1(D)
| ~ cunsatisfiable(A) ),
inference(rewrite,[status(thm)],[axiom_2]),
[] ).
cnf(168966616,plain,
( ~ rinvr(z_nn_2(i2003_11_14_17_19_39537),C)
| ~ cp1(C) ),
inference(resolution,[status(thm)],[163607200,163689408]),
[] ).
cnf(163635616,plain,
( cp1(A)
| ~ cunsatisfiable(A) ),
inference(rewrite,[status(thm)],[axiom_2]),
[] ).
cnf(168889848,plain,
cp1(i2003_11_14_17_19_39537),
inference(resolution,[status(thm)],[163635616,163689408]),
[] ).
cnf(168990624,plain,
~ rinvr(z_nn_2(i2003_11_14_17_19_39537),i2003_11_14_17_19_39537),
inference(resolution,[status(thm)],[168966616,168889848]),
[] ).
cnf(contradiction,plain,
$false,
inference(forward_subsumption_resolution__resolution,[status(thm)],[169466672,163666632,168990624]),
[] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% Proof found in: 0 seconds
% START OF PROOF SEQUENCE
% fof(axiom_6,plain,(~rr(A,B)|~rr(B,C)|rr(A,C)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/KRS/KRS085+1.tptp',unknown),[]).
%
% cnf(163680464,plain,(~rr(A,B)|~rr(B,C)|rr(A,C)),inference(rewrite,[status(thm)],[axiom_6]),[]).
%
% fof(axiom_2,plain,(((cp1(A)|~cunsatisfiable(A))&(rr(A,y_nn_1(A))|~cunsatisfiable(A))&(rr(y_nn_1(A),z_nn_2(A))|~cunsatisfiable(A))&(cp1(z_nn_2(A))|~cunsatisfiable(A))&(~rinvr(z_nn_2(A),D)|~cp1(D)|~cunsatisfiable(A))&(rinvr(F,w(A,D,E,F))|~cp1(F)|~rr(E,F)|~rr(A,E)|~cp1(A)|cunsatisfiable(A))&(cp1(w(A,D,E,F))|~cp1(F)|~rr(E,F)|~rr(A,E)|~cp1(A)|cunsatisfiable(A)))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/KRS/KRS085+1.tptp',unknown),[]).
%
% cnf(163630232,plain,(rr(A,y_nn_1(A))|~cunsatisfiable(A)),inference(rewrite,[status(thm)],[axiom_2]),[]).
%
% fof(axiom_7,plain,(cunsatisfiable(i2003_11_14_17_19_39537)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/KRS/KRS085+1.tptp',unknown),[]).
%
% cnf(163689408,plain,(cunsatisfiable(i2003_11_14_17_19_39537)),inference(rewrite,[status(thm)],[axiom_7]),[]).
%
% cnf(168915760,plain,(rr(i2003_11_14_17_19_39537,y_nn_1(i2003_11_14_17_19_39537))),inference(resolution,[status(thm)],[163630232,163689408]),[]).
%
% cnf(169330344,plain,(~rr(y_nn_1(i2003_11_14_17_19_39537),A)|rr(i2003_11_14_17_19_39537,A)),inference(resolution,[status(thm)],[163680464,168915760]),[]).
%
% cnf(163624088,plain,(rr(y_nn_1(A),z_nn_2(A))|~cunsatisfiable(A)),inference(rewrite,[status(thm)],[axiom_2]),[]).
%
% cnf(168930632,plain,(rr(y_nn_1(i2003_11_14_17_19_39537),z_nn_2(i2003_11_14_17_19_39537))),inference(resolution,[status(thm)],[163624088,163689408]),[]).
%
% cnf(169466672,plain,(rr(i2003_11_14_17_19_39537,z_nn_2(i2003_11_14_17_19_39537))),inference(resolution,[status(thm)],[169330344,168930632]),[]).
%
% fof(axiom_5,plain,(((~rinvr(A,B)|rr(B,A))&(rinvr(A,B)|~rr(B,A)))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/KRS/KRS085+1.tptp',unknown),[]).
%
% cnf(163666632,plain,(rinvr(A,B)|~rr(B,A)),inference(rewrite,[status(thm)],[axiom_5]),[]).
%
% cnf(163607200,plain,(~rinvr(z_nn_2(A),D)|~cp1(D)|~cunsatisfiable(A)),inference(rewrite,[status(thm)],[axiom_2]),[]).
%
% cnf(168966616,plain,(~rinvr(z_nn_2(i2003_11_14_17_19_39537),C)|~cp1(C)),inference(resolution,[status(thm)],[163607200,163689408]),[]).
%
% cnf(163635616,plain,(cp1(A)|~cunsatisfiable(A)),inference(rewrite,[status(thm)],[axiom_2]),[]).
%
% cnf(168889848,plain,(cp1(i2003_11_14_17_19_39537)),inference(resolution,[status(thm)],[163635616,163689408]),[]).
%
% cnf(168990624,plain,(~rinvr(z_nn_2(i2003_11_14_17_19_39537),i2003_11_14_17_19_39537)),inference(resolution,[status(thm)],[168966616,168889848]),[]).
%
% cnf(contradiction,plain,$false,inference(forward_subsumption_resolution__resolution,[status(thm)],[169466672,163666632,168990624]),[]).
%
% END OF PROOF SEQUENCE
% faust: ../JJParser/Signature.c:39: void FreeSignatureList(SymbolNodeType**): Assertion `(*Symbols)->NumberOfUses == 0' failed.
%
%------------------------------------------------------------------------------