%------------------------------------------------------------------------------
% File : Faust---1.0
% Problem : KRS110+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 13:27:45 EDT 2009
% Result : Unsatisfiable 0.0s
% Output : Refutation 0.0s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 5
% Syntax : Number of formulae : 20 ( 9 unt; 0 def)
% Number of atoms : 57 ( 0 equ)
% Maximal formula atoms : 15 ( 2 avg)
% Number of connectives : 66 ( 29 ~; 28 |; 9 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 8 ( 7 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 1 con; 0-3 aty)
% Number of variables : 19 ( 2 sgn 9 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Faust---1.0 format not known, defaulting to TPTP
fof(axiom_4,plain,
! [A,C] :
( ( ~ cpxcomp(A)
| ra_px1(A,y0_nn_1(A)) )
& ( cpxcomp(A)
| ~ ra_px1(A,C) ) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/KRS/KRS110+1.tptp',unknown),
[] ).
cnf(160114152,plain,
( ~ cpxcomp(A)
| ra_px1(A,y0_nn_1(A)) ),
inference(rewrite,[status(thm)],[axiom_4]),
[] ).
fof(axiom_2,plain,
! [A,C,D] :
( ( ~ rs(A,C)
| cpxcomp(C)
| ~ cunsatisfiable(A) )
& ( rs(A,y_nn_3(A))
| ~ cunsatisfiable(A) )
& ( ca_ax2(y_nn_3(A))
| ~ cunsatisfiable(A) )
& ( rs(A,y(A,C,D))
| ~ rs(A,D)
| ~ ca_ax2(D)
| cunsatisfiable(A) )
& ( ~ cpxcomp(y(A,C,D))
| ~ rs(A,D)
| ~ ca_ax2(D)
| cunsatisfiable(A) ) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/KRS/KRS110+1.tptp',unknown),
[] ).
cnf(160082760,plain,
( ~ rs(A,C)
| cpxcomp(C)
| ~ cunsatisfiable(A) ),
inference(rewrite,[status(thm)],[axiom_2]),
[] ).
fof(axiom_12,plain,
cunsatisfiable(i2003_11_14_17_21_12565),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/KRS/KRS110+1.tptp',unknown),
[] ).
cnf(160226560,plain,
cunsatisfiable(i2003_11_14_17_21_12565),
inference(rewrite,[status(thm)],[axiom_12]),
[] ).
cnf(165536984,plain,
( ~ rs(i2003_11_14_17_21_12565,B)
| cpxcomp(B) ),
inference(resolution,[status(thm)],[160082760,160226560]),
[] ).
cnf(160069680,plain,
( rs(A,y_nn_3(A))
| ~ cunsatisfiable(A) ),
inference(rewrite,[status(thm)],[axiom_2]),
[] ).
cnf(165504808,plain,
rs(i2003_11_14_17_21_12565,y_nn_3(i2003_11_14_17_21_12565)),
inference(resolution,[status(thm)],[160069680,160226560]),
[] ).
cnf(165720880,plain,
cpxcomp(y_nn_3(i2003_11_14_17_21_12565)),
inference(resolution,[status(thm)],[165536984,165504808]),
[] ).
cnf(165768864,plain,
ra_px1(y_nn_3(i2003_11_14_17_21_12565),y0_nn_1(y_nn_3(i2003_11_14_17_21_12565))),
inference(resolution,[status(thm)],[160114152,165720880]),
[] ).
fof(axiom_3,plain,
! [A,B] :
( ( ~ cp(A)
| ~ ra_px1(A,B) )
& ( cp(A)
| ra_px1(A,y(A,B)) ) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/KRS/KRS110+1.tptp',unknown),
[] ).
cnf(160101104,plain,
( ~ cp(A)
| ~ ra_px1(A,B) ),
inference(rewrite,[status(thm)],[axiom_3]),
[] ).
fof(axiom_5,plain,
! [A,C] :
( ( rinvs(A,y_nn_1(A))
| ~ ca_ax2(A) )
& ( cp(y_nn_1(A))
| ~ ca_ax2(A) )
& ( cp(A)
| ~ ca_ax2(A) )
& ( ca_ax2(A)
| ~ cp(A)
| ~ rinvs(A,C)
| ~ cp(C) ) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/KRS/KRS110+1.tptp',unknown),
[] ).
cnf(160133032,plain,
( cp(A)
| ~ ca_ax2(A) ),
inference(rewrite,[status(thm)],[axiom_5]),
[] ).
cnf(160063544,plain,
( ca_ax2(y_nn_3(A))
| ~ cunsatisfiable(A) ),
inference(rewrite,[status(thm)],[axiom_2]),
[] ).
cnf(165489808,plain,
ca_ax2(y_nn_3(i2003_11_14_17_21_12565)),
inference(resolution,[status(thm)],[160063544,160226560]),
[] ).
cnf(165549704,plain,
cp(y_nn_3(i2003_11_14_17_21_12565)),
inference(resolution,[status(thm)],[160133032,165489808]),
[] ).
cnf(165657056,plain,
~ ra_px1(y_nn_3(i2003_11_14_17_21_12565),A),
inference(resolution,[status(thm)],[160101104,165549704]),
[] ).
cnf(contradiction,plain,
$false,
inference(resolution,[status(thm)],[165768864,165657056]),
[] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% Proof found in: 0 seconds
% START OF PROOF SEQUENCE
% fof(axiom_4,plain,(((~cpxcomp(A)|ra_px1(A,y0_nn_1(A)))&(cpxcomp(A)|~ra_px1(A,C)))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/KRS/KRS110+1.tptp',unknown),[]).
%
% cnf(160114152,plain,(~cpxcomp(A)|ra_px1(A,y0_nn_1(A))),inference(rewrite,[status(thm)],[axiom_4]),[]).
%
% fof(axiom_2,plain,(((~rs(A,C)|cpxcomp(C)|~cunsatisfiable(A))&(rs(A,y_nn_3(A))|~cunsatisfiable(A))&(ca_ax2(y_nn_3(A))|~cunsatisfiable(A))&(rs(A,y(A,C,D))|~rs(A,D)|~ca_ax2(D)|cunsatisfiable(A))&(~cpxcomp(y(A,C,D))|~rs(A,D)|~ca_ax2(D)|cunsatisfiable(A)))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/KRS/KRS110+1.tptp',unknown),[]).
%
% cnf(160082760,plain,(~rs(A,C)|cpxcomp(C)|~cunsatisfiable(A)),inference(rewrite,[status(thm)],[axiom_2]),[]).
%
% fof(axiom_12,plain,(cunsatisfiable(i2003_11_14_17_21_12565)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/KRS/KRS110+1.tptp',unknown),[]).
%
% cnf(160226560,plain,(cunsatisfiable(i2003_11_14_17_21_12565)),inference(rewrite,[status(thm)],[axiom_12]),[]).
%
% cnf(165536984,plain,(~rs(i2003_11_14_17_21_12565,B)|cpxcomp(B)),inference(resolution,[status(thm)],[160082760,160226560]),[]).
%
% cnf(160069680,plain,(rs(A,y_nn_3(A))|~cunsatisfiable(A)),inference(rewrite,[status(thm)],[axiom_2]),[]).
%
% cnf(165504808,plain,(rs(i2003_11_14_17_21_12565,y_nn_3(i2003_11_14_17_21_12565))),inference(resolution,[status(thm)],[160069680,160226560]),[]).
%
% cnf(165720880,plain,(cpxcomp(y_nn_3(i2003_11_14_17_21_12565))),inference(resolution,[status(thm)],[165536984,165504808]),[]).
%
% cnf(165768864,plain,(ra_px1(y_nn_3(i2003_11_14_17_21_12565),y0_nn_1(y_nn_3(i2003_11_14_17_21_12565)))),inference(resolution,[status(thm)],[160114152,165720880]),[]).
%
% fof(axiom_3,plain,(((~cp(A)|~ra_px1(A,B))&(cp(A)|ra_px1(A,y(A,B))))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/KRS/KRS110+1.tptp',unknown),[]).
%
% cnf(160101104,plain,(~cp(A)|~ra_px1(A,B)),inference(rewrite,[status(thm)],[axiom_3]),[]).
%
% fof(axiom_5,plain,(((rinvs(A,y_nn_1(A))|~ca_ax2(A))&(cp(y_nn_1(A))|~ca_ax2(A))&(cp(A)|~ca_ax2(A))&(ca_ax2(A)|~cp(A)|~rinvs(A,C)|~cp(C)))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/KRS/KRS110+1.tptp',unknown),[]).
%
% cnf(160133032,plain,(cp(A)|~ca_ax2(A)),inference(rewrite,[status(thm)],[axiom_5]),[]).
%
% cnf(160063544,plain,(ca_ax2(y_nn_3(A))|~cunsatisfiable(A)),inference(rewrite,[status(thm)],[axiom_2]),[]).
%
% cnf(165489808,plain,(ca_ax2(y_nn_3(i2003_11_14_17_21_12565))),inference(resolution,[status(thm)],[160063544,160226560]),[]).
%
% cnf(165549704,plain,(cp(y_nn_3(i2003_11_14_17_21_12565))),inference(resolution,[status(thm)],[160133032,165489808]),[]).
%
% cnf(165657056,plain,(~ra_px1(y_nn_3(i2003_11_14_17_21_12565),A)),inference(resolution,[status(thm)],[160101104,165549704]),[]).
%
% cnf(contradiction,plain,$false,inference(resolution,[status(thm)],[165768864,165657056]),[]).
%
% END OF PROOF SEQUENCE
% faust: ../JJParser/Signature.c:39: void FreeSignatureList(SymbolNodeType**): Assertion `(*Symbols)->NumberOfUses == 0' failed.
%
%------------------------------------------------------------------------------