TSTP Solution File: KRS082+1 by Faust---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Faust---1.0
% Problem : KRS082+1 : TPTP v3.4.2. Released v3.1.0.
% Transfm : none
% Format : tptp
% Command : faust %s
% Computer : art08.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 13:26:32 EDT 2009
% Result : Unsatisfiable 0.0s
% Output : Refutation 0.0s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 7
% Syntax : Number of formulae : 29 ( 11 unt; 0 def)
% Number of atoms : 100 ( 0 equ)
% Maximal formula atoms : 29 ( 3 avg)
% Number of connectives : 125 ( 54 ~; 54 |; 17 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 19 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 11 ( 10 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 1 con; 0-6 aty)
% Number of variables : 44 ( 5 sgn 17 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Faust---1.0 format not known, defaulting to TPTP
fof(axiom_6,plain,
! [A,B] :
( ( ~ rinvr(A,B)
| rr(B,A) )
& ( rinvr(A,B)
| ~ rr(B,A) ) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/KRS/KRS082+1.tptp',unknown),
[] ).
cnf(144440864,plain,
( rinvr(A,B)
| ~ rr(B,A) ),
inference(rewrite,[status(thm)],[axiom_6]),
[] ).
fof(axiom_9,plain,
cunsatisfiable(i2003_11_14_17_19_28752),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/KRS/KRS082+1.tptp',unknown),
[] ).
cnf(144488864,plain,
cunsatisfiable(i2003_11_14_17_19_28752),
inference(rewrite,[status(thm)],[axiom_9]),
[] ).
fof(axiom_2,plain,
! [A,D,E,G,I,J] :
( ( rp(y(A),z_nn_5(A))
| ~ cunsatisfiable(A) )
& ( cowlthing(z_nn_5(A))
| ~ cunsatisfiable(A) )
& ( ~ rr(y(A),D)
| cc(D)
| ~ cunsatisfiable(A) )
& ( cowlthing(w_nn_7(A,D,E))
| ~ rp(y(A),E)
| ~ cunsatisfiable(A) )
& ( rr(E,w_nn_7(A,D,E))
| ~ rp(y(A),E)
| ~ cunsatisfiable(A) )
& ( cowlthing(w_nn_6(A,D,E,G))
| ~ rp(y(A),G)
| ~ cunsatisfiable(A) )
& ( rp(G,w_nn_6(A,D,E,G))
| ~ rp(y(A),G)
| ~ cunsatisfiable(A) )
& ( ~ rp(y(A),I)
| ~ rr(I,J)
| cc(J)
| ~ cunsatisfiable(A) )
& ( rr(y(A),z(A,D,E,G,I,J))
| ~ cunsatisfiable(A) )
& ( cowlthing(z(A,D,E,G,I,J))
| ~ cunsatisfiable(A) )
& ( rs(A,y(A))
| ~ cunsatisfiable(A) ) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/KRS/KRS082+1.tptp',unknown),
[] ).
cnf(144326520,plain,
( rr(E,w_nn_7(A,D,E))
| ~ rp(y(A),E)
| ~ cunsatisfiable(A) ),
inference(rewrite,[status(thm)],[axiom_2]),
[] ).
cnf(144353024,plain,
( rp(y(A),z_nn_5(A))
| ~ cunsatisfiable(A) ),
inference(rewrite,[status(thm)],[axiom_2]),
[] ).
cnf(149755032,plain,
rp(y(i2003_11_14_17_19_28752),z_nn_5(i2003_11_14_17_19_28752)),
inference(resolution,[status(thm)],[144353024,144488864]),
[] ).
cnf(149977936,plain,
rr(z_nn_5(i2003_11_14_17_19_28752),w_nn_7(i2003_11_14_17_19_28752,C,z_nn_5(i2003_11_14_17_19_28752))),
inference(forward_subsumption_resolution__resolution,[status(thm)],[144488864,144326520,149755032]),
[] ).
cnf(150038912,plain,
rinvr(w_nn_7(i2003_11_14_17_19_28752,C,z_nn_5(i2003_11_14_17_19_28752)),z_nn_5(i2003_11_14_17_19_28752)),
inference(resolution,[status(thm)],[144440864,149977936]),
[] ).
fof(axiom_3,plain,
! [A] :
( ~ cunsatisfiable(A)
| ca(A) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/KRS/KRS082+1.tptp',unknown),
[] ).
cnf(144359960,plain,
( ~ cunsatisfiable(A)
| ca(A) ),
inference(rewrite,[status(thm)],[axiom_3]),
[] ).
cnf(149722240,plain,
ca(i2003_11_14_17_19_28752),
inference(resolution,[status(thm)],[144359960,144488864]),
[] ).
fof(axiom_4,plain,
! [A,B,C,D] :
( ( ~ cc(A)
| ~ rinvr(A,B)
| ~ rinvp(B,C)
| ~ rinvs(C,D)
| ~ ca(D) )
& ( rinvp(y(A,B,C,D),z(A,B,C,D))
| cc(A) )
& ( rinvs(z(A,B,C,D),w(A,B,C,D))
| cc(A) )
& ( ca(w(A,B,C,D))
| cc(A) )
& ( rinvr(A,y(A,B,C,D))
| cc(A) ) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/KRS/KRS082+1.tptp',unknown),
[] ).
cnf(144417440,plain,
( ~ cc(A)
| ~ rinvr(A,B)
| ~ rinvp(B,C)
| ~ rinvs(C,D)
| ~ ca(D) ),
inference(rewrite,[status(thm)],[axiom_4]),
[] ).
fof(axiom_5,plain,
! [A,B] :
( ( ~ rinvp(A,B)
| rp(B,A) )
& ( rinvp(A,B)
| ~ rp(B,A) ) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/KRS/KRS082+1.tptp',unknown),
[] ).
cnf(144427952,plain,
( rinvp(A,B)
| ~ rp(B,A) ),
inference(rewrite,[status(thm)],[axiom_5]),
[] ).
cnf(149911216,plain,
rinvp(z_nn_5(i2003_11_14_17_19_28752),y(i2003_11_14_17_19_28752)),
inference(resolution,[status(thm)],[144427952,149755032]),
[] ).
cnf(150017912,plain,
( ~ cc(A)
| ~ rinvr(A,z_nn_5(i2003_11_14_17_19_28752))
| ~ rinvs(y(i2003_11_14_17_19_28752),B)
| ~ ca(B) ),
inference(resolution,[status(thm)],[144417440,149911216]),
[] ).
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/KRS082+1.tptp',unknown),
[] ).
cnf(144465104,plain,
( rinvs(A,B)
| ~ rs(B,A) ),
inference(rewrite,[status(thm)],[axiom_7]),
[] ).
cnf(144233408,plain,
( rs(A,y(A))
| ~ cunsatisfiable(A) ),
inference(rewrite,[status(thm)],[axiom_2]),
[] ).
cnf(149736720,plain,
rs(i2003_11_14_17_19_28752,y(i2003_11_14_17_19_28752)),
inference(resolution,[status(thm)],[144233408,144488864]),
[] ).
cnf(149880856,plain,
rinvs(y(i2003_11_14_17_19_28752),i2003_11_14_17_19_28752),
inference(resolution,[status(thm)],[144465104,149736720]),
[] ).
cnf(150027616,plain,
( ~ cc(A)
| ~ rinvr(A,z_nn_5(i2003_11_14_17_19_28752)) ),
inference(forward_subsumption_resolution__resolution,[status(thm)],[149722240,150017912,149880856]),
[] ).
cnf(144283384,plain,
( ~ rp(y(A),I)
| ~ rr(I,J)
| cc(J)
| ~ cunsatisfiable(A) ),
inference(rewrite,[status(thm)],[axiom_2]),
[] ).
cnf(150068840,plain,
( ~ rp(y(A),z_nn_5(i2003_11_14_17_19_28752))
| cc(w_nn_7(i2003_11_14_17_19_28752,K,z_nn_5(i2003_11_14_17_19_28752)))
| ~ cunsatisfiable(A) ),
inference(resolution,[status(thm)],[144283384,149977936]),
[] ).
cnf(150075032,plain,
cc(w_nn_7(i2003_11_14_17_19_28752,J,z_nn_5(i2003_11_14_17_19_28752))),
inference(forward_subsumption_resolution__resolution,[status(thm)],[144488864,150068840,149755032]),
[] ).
cnf(contradiction,plain,
$false,
inference(forward_subsumption_resolution__resolution,[status(thm)],[150038912,150027616,150075032]),
[] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% Proof found in: 0 seconds
% START OF PROOF SEQUENCE
% fof(axiom_6,plain,(((~rinvr(A,B)|rr(B,A))&(rinvr(A,B)|~rr(B,A)))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/KRS/KRS082+1.tptp',unknown),[]).
%
% cnf(144440864,plain,(rinvr(A,B)|~rr(B,A)),inference(rewrite,[status(thm)],[axiom_6]),[]).
%
% fof(axiom_9,plain,(cunsatisfiable(i2003_11_14_17_19_28752)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/KRS/KRS082+1.tptp',unknown),[]).
%
% cnf(144488864,plain,(cunsatisfiable(i2003_11_14_17_19_28752)),inference(rewrite,[status(thm)],[axiom_9]),[]).
%
% fof(axiom_2,plain,(((rp(y(A),z_nn_5(A))|~cunsatisfiable(A))&(cowlthing(z_nn_5(A))|~cunsatisfiable(A))&(~rr(y(A),D)|cc(D)|~cunsatisfiable(A))&(cowlthing(w_nn_7(A,D,E))|~rp(y(A),E)|~cunsatisfiable(A))&(rr(E,w_nn_7(A,D,E))|~rp(y(A),E)|~cunsatisfiable(A))&(cowlthing(w_nn_6(A,D,E,G))|~rp(y(A),G)|~cunsatisfiable(A))&(rp(G,w_nn_6(A,D,E,G))|~rp(y(A),G)|~cunsatisfiable(A))&(~rp(y(A),I)|~rr(I,J)|cc(J)|~cunsatisfiable(A))&(rr(y(A),z(A,D,E,G,I,J))|~cunsatisfiable(A))&(cowlthing(z(A,D,E,G,I,J))|~cunsatisfiable(A))&(rs(A,y(A))|~cunsatisfiable(A)))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/KRS/KRS082+1.tptp',unknown),[]).
%
% cnf(144326520,plain,(rr(E,w_nn_7(A,D,E))|~rp(y(A),E)|~cunsatisfiable(A)),inference(rewrite,[status(thm)],[axiom_2]),[]).
%
% cnf(144353024,plain,(rp(y(A),z_nn_5(A))|~cunsatisfiable(A)),inference(rewrite,[status(thm)],[axiom_2]),[]).
%
% cnf(149755032,plain,(rp(y(i2003_11_14_17_19_28752),z_nn_5(i2003_11_14_17_19_28752))),inference(resolution,[status(thm)],[144353024,144488864]),[]).
%
% cnf(149977936,plain,(rr(z_nn_5(i2003_11_14_17_19_28752),w_nn_7(i2003_11_14_17_19_28752,C,z_nn_5(i2003_11_14_17_19_28752)))),inference(forward_subsumption_resolution__resolution,[status(thm)],[144488864,144326520,149755032]),[]).
%
% cnf(150038912,plain,(rinvr(w_nn_7(i2003_11_14_17_19_28752,C,z_nn_5(i2003_11_14_17_19_28752)),z_nn_5(i2003_11_14_17_19_28752))),inference(resolution,[status(thm)],[144440864,149977936]),[]).
%
% fof(axiom_3,plain,(~cunsatisfiable(A)|ca(A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/KRS/KRS082+1.tptp',unknown),[]).
%
% cnf(144359960,plain,(~cunsatisfiable(A)|ca(A)),inference(rewrite,[status(thm)],[axiom_3]),[]).
%
% cnf(149722240,plain,(ca(i2003_11_14_17_19_28752)),inference(resolution,[status(thm)],[144359960,144488864]),[]).
%
% fof(axiom_4,plain,(((~cc(A)|~rinvr(A,B)|~rinvp(B,C)|~rinvs(C,D)|~ca(D))&(rinvp(y(A,B,C,D),z(A,B,C,D))|cc(A))&(rinvs(z(A,B,C,D),w(A,B,C,D))|cc(A))&(ca(w(A,B,C,D))|cc(A))&(rinvr(A,y(A,B,C,D))|cc(A)))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/KRS/KRS082+1.tptp',unknown),[]).
%
% cnf(144417440,plain,(~cc(A)|~rinvr(A,B)|~rinvp(B,C)|~rinvs(C,D)|~ca(D)),inference(rewrite,[status(thm)],[axiom_4]),[]).
%
% fof(axiom_5,plain,(((~rinvp(A,B)|rp(B,A))&(rinvp(A,B)|~rp(B,A)))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/KRS/KRS082+1.tptp',unknown),[]).
%
% cnf(144427952,plain,(rinvp(A,B)|~rp(B,A)),inference(rewrite,[status(thm)],[axiom_5]),[]).
%
% cnf(149911216,plain,(rinvp(z_nn_5(i2003_11_14_17_19_28752),y(i2003_11_14_17_19_28752))),inference(resolution,[status(thm)],[144427952,149755032]),[]).
%
% cnf(150017912,plain,(~cc(A)|~rinvr(A,z_nn_5(i2003_11_14_17_19_28752))|~rinvs(y(i2003_11_14_17_19_28752),B)|~ca(B)),inference(resolution,[status(thm)],[144417440,149911216]),[]).
%
% 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/KRS082+1.tptp',unknown),[]).
%
% cnf(144465104,plain,(rinvs(A,B)|~rs(B,A)),inference(rewrite,[status(thm)],[axiom_7]),[]).
%
% cnf(144233408,plain,(rs(A,y(A))|~cunsatisfiable(A)),inference(rewrite,[status(thm)],[axiom_2]),[]).
%
% cnf(149736720,plain,(rs(i2003_11_14_17_19_28752,y(i2003_11_14_17_19_28752))),inference(resolution,[status(thm)],[144233408,144488864]),[]).
%
% cnf(149880856,plain,(rinvs(y(i2003_11_14_17_19_28752),i2003_11_14_17_19_28752)),inference(resolution,[status(thm)],[144465104,149736720]),[]).
%
% cnf(150027616,plain,(~cc(A)|~rinvr(A,z_nn_5(i2003_11_14_17_19_28752))),inference(forward_subsumption_resolution__resolution,[status(thm)],[149722240,150017912,149880856]),[]).
%
% cnf(144283384,plain,(~rp(y(A),I)|~rr(I,J)|cc(J)|~cunsatisfiable(A)),inference(rewrite,[status(thm)],[axiom_2]),[]).
%
% cnf(150068840,plain,(~rp(y(A),z_nn_5(i2003_11_14_17_19_28752))|cc(w_nn_7(i2003_11_14_17_19_28752,K,z_nn_5(i2003_11_14_17_19_28752)))|~cunsatisfiable(A)),inference(resolution,[status(thm)],[144283384,149977936]),[]).
%
% cnf(150075032,plain,(cc(w_nn_7(i2003_11_14_17_19_28752,J,z_nn_5(i2003_11_14_17_19_28752)))),inference(forward_subsumption_resolution__resolution,[status(thm)],[144488864,150068840,149755032]),[]).
%
% cnf(contradiction,plain,$false,inference(forward_subsumption_resolution__resolution,[status(thm)],[150038912,150027616,150075032]),[]).
%
% END OF PROOF SEQUENCE
% faust: ../JJParser/Signature.c:39: void FreeSignatureList(SymbolNodeType**): Assertion `(*Symbols)->NumberOfUses == 0' failed.
%
%------------------------------------------------------------------------------