%------------------------------------------------------------------------------
% File : Faust---1.0
% Problem : KRS121+1 : TPTP v3.4.2. Released v3.1.0.
% Transfm : none
% Format : tptp
% Command : faust %s
% Computer : art02.cs.miami.edu
% Model : i686 i686
% CPU : Intel(R) Pentium(R) 4 CPU 2.80GHz @ 2793MHz
% Memory : 1003MB
% OS : Linux 2.6.11-1.1369_FC4
% CPULimit : 600s
% DateTime : Wed May 6 13:28:12 EDT 2009
% Result : Unsatisfiable 0.0s
% Output : Refutation 0.0s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 8
% Syntax : Number of formulae : 31 ( 12 unt; 0 def)
% Number of atoms : 81 ( 0 equ)
% Maximal formula atoms : 11 ( 2 avg)
% Number of connectives : 92 ( 42 ~; 39 |; 11 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 9 ( 8 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 1 con; 0-2 aty)
% Number of variables : 33 ( 2 sgn 15 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Faust---1.0 format not known, defaulting to TPTP
fof(axiom_10,plain,
! [A,B,C] :
( ~ rr(A,B)
| ~ rr(B,C)
| rr(A,C) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/KRS/KRS121+1.tptp',unknown),
[] ).
cnf(142742696,plain,
( ~ rr(A,B)
| ~ rr(B,C)
| rr(A,C) ),
inference(rewrite,[status(thm)],[axiom_10]),
[] ).
fof(axiom_6,plain,
! [A,C] :
( ( ca_ax2(y_nn_1(A))
| ~ ca_vx3(A) )
& ( rr(A,y_nn_1(A))
| ~ ca_vx3(A) )
& ( ca_vx3(A)
| ~ rr(A,C)
| ~ ca_ax2(C) ) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/KRS/KRS121+1.tptp',unknown),
[] ).
cnf(142686056,plain,
( rr(A,y_nn_1(A))
| ~ ca_vx3(A) ),
inference(rewrite,[status(thm)],[axiom_6]),
[] ).
fof(axiom_2,plain,
! [A,C] :
( ( cp1(A)
| ~ cunsatisfiable(A) )
& ( rr(A,y_nn_1(A))
| ~ cunsatisfiable(A) )
& ( ca_vx3(y_nn_1(A))
| ~ cunsatisfiable(A) )
& ( cunsatisfiable(A)
| ~ rr(A,C)
| ~ ca_vx3(C)
| ~ cp1(A) ) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/KRS/KRS121+1.tptp',unknown),
[] ).
cnf(142576504,plain,
( ca_vx3(y_nn_1(A))
| ~ cunsatisfiable(A) ),
inference(rewrite,[status(thm)],[axiom_2]),
[] ).
fof(axiom_11,plain,
cunsatisfiable(i2003_11_14_17_21_5199),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/KRS/KRS121+1.tptp',unknown),
[] ).
cnf(142746968,plain,
cunsatisfiable(i2003_11_14_17_21_5199),
inference(rewrite,[status(thm)],[axiom_11]),
[] ).
cnf(148001400,plain,
ca_vx3(y_nn_1(i2003_11_14_17_21_5199)),
inference(resolution,[status(thm)],[142576504,142746968]),
[] ).
cnf(148119872,plain,
rr(y_nn_1(i2003_11_14_17_21_5199),y_nn_1(y_nn_1(i2003_11_14_17_21_5199))),
inference(resolution,[status(thm)],[142686056,148001400]),
[] ).
cnf(148488912,plain,
( ~ rr(A,y_nn_1(i2003_11_14_17_21_5199))
| rr(A,y_nn_1(y_nn_1(i2003_11_14_17_21_5199))) ),
inference(resolution,[status(thm)],[142742696,148119872]),
[] ).
cnf(142587688,plain,
( rr(A,y_nn_1(A))
| ~ cunsatisfiable(A) ),
inference(rewrite,[status(thm)],[axiom_2]),
[] ).
cnf(148012264,plain,
rr(i2003_11_14_17_21_5199,y_nn_1(i2003_11_14_17_21_5199)),
inference(resolution,[status(thm)],[142587688,142746968]),
[] ).
cnf(148498192,plain,
rr(i2003_11_14_17_21_5199,y_nn_1(y_nn_1(i2003_11_14_17_21_5199))),
inference(resolution,[status(thm)],[148488912,148012264]),
[] ).
fof(axiom_9,plain,
! [A,B] :
( ( ~ rinvr(A,B)
| rr(B,A) )
& ( rinvr(A,B)
| ~ rr(B,A) ) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/KRS/KRS121+1.tptp',unknown),
[] ).
cnf(142725240,plain,
( rinvr(A,B)
| ~ rr(B,A) ),
inference(rewrite,[status(thm)],[axiom_9]),
[] ).
fof(axiom_5,plain,
! [A,B] :
( ( ~ rinvr(A,B)
| cp1xcomp(B)
| ~ ca_ax2(A) )
& ( cp1(A)
| ~ ca_ax2(A) )
& ( rinvr(A,y(A,B))
| ~ cp1(A)
| ca_ax2(A) )
& ( ~ cp1xcomp(y(A,B))
| ~ cp1(A)
| ca_ax2(A) ) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/KRS/KRS121+1.tptp',unknown),
[] ).
cnf(142667760,plain,
( ~ rinvr(A,B)
| cp1xcomp(B)
| ~ ca_ax2(A) ),
inference(rewrite,[status(thm)],[axiom_5]),
[] ).
cnf(142693248,plain,
( ca_ax2(y_nn_1(A))
| ~ ca_vx3(A) ),
inference(rewrite,[status(thm)],[axiom_6]),
[] ).
cnf(148108896,plain,
ca_ax2(y_nn_1(y_nn_1(i2003_11_14_17_21_5199))),
inference(resolution,[status(thm)],[142693248,148001400]),
[] ).
cnf(148334256,plain,
( ~ rinvr(y_nn_1(y_nn_1(i2003_11_14_17_21_5199)),A)
| cp1xcomp(A) ),
inference(resolution,[status(thm)],[142667760,148108896]),
[] ).
fof(axiom_4,plain,
! [A,C] :
( ( ~ cp1xcomp(A)
| ra_px1(A,y0_nn_1(A)) )
& ( cp1xcomp(A)
| ~ ra_px1(A,C) ) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/KRS/KRS121+1.tptp',unknown),
[] ).
cnf(142633136,plain,
( ~ cp1xcomp(A)
| ra_px1(A,y0_nn_1(A)) ),
inference(rewrite,[status(thm)],[axiom_4]),
[] ).
fof(axiom_3,plain,
! [A,B] :
( ( ~ cp1(A)
| ~ ra_px1(A,B) )
& ( cp1(A)
| ra_px1(A,y(A,B)) ) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/KRS/KRS121+1.tptp',unknown),
[] ).
cnf(142611408,plain,
( ~ cp1(A)
| ~ ra_px1(A,B) ),
inference(rewrite,[status(thm)],[axiom_3]),
[] ).
cnf(142594816,plain,
( cp1(A)
| ~ cunsatisfiable(A) ),
inference(rewrite,[status(thm)],[axiom_2]),
[] ).
cnf(146780128,plain,
cp1(i2003_11_14_17_21_5199),
inference(resolution,[status(thm)],[142594816,142746968]),
[] ).
cnf(148047560,plain,
~ ra_px1(i2003_11_14_17_21_5199,A),
inference(resolution,[status(thm)],[142611408,146780128]),
[] ).
cnf(148245792,plain,
~ cp1xcomp(i2003_11_14_17_21_5199),
inference(resolution,[status(thm)],[142633136,148047560]),
[] ).
cnf(148348568,plain,
~ rinvr(y_nn_1(y_nn_1(i2003_11_14_17_21_5199)),i2003_11_14_17_21_5199),
inference(resolution,[status(thm)],[148334256,148245792]),
[] ).
cnf(contradiction,plain,
$false,
inference(forward_subsumption_resolution__resolution,[status(thm)],[148498192,142725240,148348568]),
[] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% Proof found in: 0 seconds
% START OF PROOF SEQUENCE
% fof(axiom_10,plain,(~rr(A,B)|~rr(B,C)|rr(A,C)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/KRS/KRS121+1.tptp',unknown),[]).
%
% cnf(142742696,plain,(~rr(A,B)|~rr(B,C)|rr(A,C)),inference(rewrite,[status(thm)],[axiom_10]),[]).
%
% fof(axiom_6,plain,(((ca_ax2(y_nn_1(A))|~ca_vx3(A))&(rr(A,y_nn_1(A))|~ca_vx3(A))&(ca_vx3(A)|~rr(A,C)|~ca_ax2(C)))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/KRS/KRS121+1.tptp',unknown),[]).
%
% cnf(142686056,plain,(rr(A,y_nn_1(A))|~ca_vx3(A)),inference(rewrite,[status(thm)],[axiom_6]),[]).
%
% fof(axiom_2,plain,(((cp1(A)|~cunsatisfiable(A))&(rr(A,y_nn_1(A))|~cunsatisfiable(A))&(ca_vx3(y_nn_1(A))|~cunsatisfiable(A))&(cunsatisfiable(A)|~rr(A,C)|~ca_vx3(C)|~cp1(A)))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/KRS/KRS121+1.tptp',unknown),[]).
%
% cnf(142576504,plain,(ca_vx3(y_nn_1(A))|~cunsatisfiable(A)),inference(rewrite,[status(thm)],[axiom_2]),[]).
%
% fof(axiom_11,plain,(cunsatisfiable(i2003_11_14_17_21_5199)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/KRS/KRS121+1.tptp',unknown),[]).
%
% cnf(142746968,plain,(cunsatisfiable(i2003_11_14_17_21_5199)),inference(rewrite,[status(thm)],[axiom_11]),[]).
%
% cnf(148001400,plain,(ca_vx3(y_nn_1(i2003_11_14_17_21_5199))),inference(resolution,[status(thm)],[142576504,142746968]),[]).
%
% cnf(148119872,plain,(rr(y_nn_1(i2003_11_14_17_21_5199),y_nn_1(y_nn_1(i2003_11_14_17_21_5199)))),inference(resolution,[status(thm)],[142686056,148001400]),[]).
%
% cnf(148488912,plain,(~rr(A,y_nn_1(i2003_11_14_17_21_5199))|rr(A,y_nn_1(y_nn_1(i2003_11_14_17_21_5199)))),inference(resolution,[status(thm)],[142742696,148119872]),[]).
%
% cnf(142587688,plain,(rr(A,y_nn_1(A))|~cunsatisfiable(A)),inference(rewrite,[status(thm)],[axiom_2]),[]).
%
% cnf(148012264,plain,(rr(i2003_11_14_17_21_5199,y_nn_1(i2003_11_14_17_21_5199))),inference(resolution,[status(thm)],[142587688,142746968]),[]).
%
% cnf(148498192,plain,(rr(i2003_11_14_17_21_5199,y_nn_1(y_nn_1(i2003_11_14_17_21_5199)))),inference(resolution,[status(thm)],[148488912,148012264]),[]).
%
% fof(axiom_9,plain,(((~rinvr(A,B)|rr(B,A))&(rinvr(A,B)|~rr(B,A)))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/KRS/KRS121+1.tptp',unknown),[]).
%
% cnf(142725240,plain,(rinvr(A,B)|~rr(B,A)),inference(rewrite,[status(thm)],[axiom_9]),[]).
%
% fof(axiom_5,plain,(((~rinvr(A,B)|cp1xcomp(B)|~ca_ax2(A))&(cp1(A)|~ca_ax2(A))&(rinvr(A,y(A,B))|~cp1(A)|ca_ax2(A))&(~cp1xcomp(y(A,B))|~cp1(A)|ca_ax2(A)))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/KRS/KRS121+1.tptp',unknown),[]).
%
% cnf(142667760,plain,(~rinvr(A,B)|cp1xcomp(B)|~ca_ax2(A)),inference(rewrite,[status(thm)],[axiom_5]),[]).
%
% cnf(142693248,plain,(ca_ax2(y_nn_1(A))|~ca_vx3(A)),inference(rewrite,[status(thm)],[axiom_6]),[]).
%
% cnf(148108896,plain,(ca_ax2(y_nn_1(y_nn_1(i2003_11_14_17_21_5199)))),inference(resolution,[status(thm)],[142693248,148001400]),[]).
%
% cnf(148334256,plain,(~rinvr(y_nn_1(y_nn_1(i2003_11_14_17_21_5199)),A)|cp1xcomp(A)),inference(resolution,[status(thm)],[142667760,148108896]),[]).
%
% fof(axiom_4,plain,(((~cp1xcomp(A)|ra_px1(A,y0_nn_1(A)))&(cp1xcomp(A)|~ra_px1(A,C)))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/KRS/KRS121+1.tptp',unknown),[]).
%
% cnf(142633136,plain,(~cp1xcomp(A)|ra_px1(A,y0_nn_1(A))),inference(rewrite,[status(thm)],[axiom_4]),[]).
%
% fof(axiom_3,plain,(((~cp1(A)|~ra_px1(A,B))&(cp1(A)|ra_px1(A,y(A,B))))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/KRS/KRS121+1.tptp',unknown),[]).
%
% cnf(142611408,plain,(~cp1(A)|~ra_px1(A,B)),inference(rewrite,[status(thm)],[axiom_3]),[]).
%
% cnf(142594816,plain,(cp1(A)|~cunsatisfiable(A)),inference(rewrite,[status(thm)],[axiom_2]),[]).
%
% cnf(146780128,plain,(cp1(i2003_11_14_17_21_5199)),inference(resolution,[status(thm)],[142594816,142746968]),[]).
%
% cnf(148047560,plain,(~ra_px1(i2003_11_14_17_21_5199,A)),inference(resolution,[status(thm)],[142611408,146780128]),[]).
%
% cnf(148245792,plain,(~cp1xcomp(i2003_11_14_17_21_5199)),inference(resolution,[status(thm)],[142633136,148047560]),[]).
%
% cnf(148348568,plain,(~rinvr(y_nn_1(y_nn_1(i2003_11_14_17_21_5199)),i2003_11_14_17_21_5199)),inference(resolution,[status(thm)],[148334256,148245792]),[]).
%
% cnf(contradiction,plain,$false,inference(forward_subsumption_resolution__resolution,[status(thm)],[148498192,142725240,148348568]),[]).
%
% END OF PROOF SEQUENCE
% faust: ../JJParser/Signature.c:39: void FreeSignatureList(SymbolNodeType**): Assertion `(*Symbols)->NumberOfUses == 0' failed.
%
%------------------------------------------------------------------------------