TSTP Solution File: KRS124+1 by Faust---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Faust---1.0
% Problem : KRS124+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 13:28:20 EDT 2009
% Result : Unsatisfiable 0.0s
% Output : Refutation 0.0s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 6
% Syntax : Number of formulae : 23 ( 10 unt; 0 def)
% Number of atoms : 59 ( 0 equ)
% Maximal formula atoms : 15 ( 2 avg)
% Number of connectives : 65 ( 29 ~; 28 |; 8 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 9 ( 8 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 1 con; 0-3 aty)
% Number of variables : 20 ( 2 sgn 9 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Faust---1.0 format not known, defaulting to TPTP
fof(axiom_7,plain,
! [A,C] :
( ( ~ cdxcomp(A)
| ra_px1(A,y0_nn_1(A)) )
& ( cdxcomp(A)
| ~ ra_px1(A,C) ) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/KRS/KRS124+1.tptp',unknown),
[] ).
cnf(166497592,plain,
( ~ cdxcomp(A)
| ra_px1(A,y0_nn_1(A)) ),
inference(rewrite,[status(thm)],[axiom_7]),
[] ).
fof(axiom_3,plain,
! [A] :
( ~ cc(A)
| cdxcomp(A) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/KRS/KRS124+1.tptp',unknown),
[] ).
cnf(166439448,plain,
( ~ cc(A)
| cdxcomp(A) ),
inference(rewrite,[status(thm)],[axiom_3]),
[] ).
fof(axiom_12,plain,
! [A] :
( ( cc(A)
| ~ ca_ax3(A) )
& ( cd(A)
| ~ ca_ax3(A) )
& ( ca_ax3(A)
| ~ cd(A)
| ~ cc(A) ) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/KRS/KRS124+1.tptp',unknown),
[] ).
cnf(166573712,plain,
( cc(A)
| ~ ca_ax3(A) ),
inference(rewrite,[status(thm)],[axiom_12]),
[] ).
fof(axiom_2,plain,
! [A,C,D] :
( ( ~ rr(A,C)
| ca_ax3(C)
| ~ cunsatisfiable(A) )
& ( rr(A,y_nn_3(A))
| ~ cunsatisfiable(A) )
& ( cowlthing(y_nn_3(A))
| ~ cunsatisfiable(A) )
& ( rr(A,y(A,C,D))
| ~ rr(A,D)
| ~ cowlthing(D)
| cunsatisfiable(A) )
& ( ~ ca_ax3(y(A,C,D))
| ~ rr(A,D)
| ~ cowlthing(D)
| cunsatisfiable(A) ) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/KRS/KRS124+1.tptp',unknown),
[] ).
cnf(166432640,plain,
( ~ rr(A,C)
| ca_ax3(C)
| ~ cunsatisfiable(A) ),
inference(rewrite,[status(thm)],[axiom_2]),
[] ).
fof(axiom_13,plain,
cunsatisfiable(i2003_11_14_17_22_10903),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/KRS/KRS124+1.tptp',unknown),
[] ).
cnf(166583328,plain,
cunsatisfiable(i2003_11_14_17_22_10903),
inference(rewrite,[status(thm)],[axiom_13]),
[] ).
cnf(171853408,plain,
( ~ rr(i2003_11_14_17_22_10903,B)
| ca_ax3(B) ),
inference(resolution,[status(thm)],[166432640,166583328]),
[] ).
cnf(166419792,plain,
( rr(A,y_nn_3(A))
| ~ cunsatisfiable(A) ),
inference(rewrite,[status(thm)],[axiom_2]),
[] ).
cnf(171837408,plain,
rr(i2003_11_14_17_22_10903,y_nn_3(i2003_11_14_17_22_10903)),
inference(resolution,[status(thm)],[166419792,166583328]),
[] ).
cnf(171867272,plain,
ca_ax3(y_nn_3(i2003_11_14_17_22_10903)),
inference(resolution,[status(thm)],[171853408,171837408]),
[] ).
cnf(171890048,plain,
cc(y_nn_3(i2003_11_14_17_22_10903)),
inference(resolution,[status(thm)],[166573712,171867272]),
[] ).
cnf(171920432,plain,
cdxcomp(y_nn_3(i2003_11_14_17_22_10903)),
inference(resolution,[status(thm)],[166439448,171890048]),
[] ).
cnf(171935544,plain,
ra_px1(y_nn_3(i2003_11_14_17_22_10903),y0_nn_1(y_nn_3(i2003_11_14_17_22_10903))),
inference(resolution,[status(thm)],[166497592,171920432]),
[] ).
fof(axiom_6,plain,
! [A,B] :
( ( ~ cd(A)
| ~ ra_px1(A,B) )
& ( cd(A)
| ra_px1(A,y(A,B)) ) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/KRS/KRS124+1.tptp',unknown),
[] ).
cnf(166479536,plain,
( ~ cd(A)
| ~ ra_px1(A,B) ),
inference(rewrite,[status(thm)],[axiom_6]),
[] ).
cnf(166566376,plain,
( cd(A)
| ~ ca_ax3(A) ),
inference(rewrite,[status(thm)],[axiom_12]),
[] ).
cnf(171877408,plain,
cd(y_nn_3(i2003_11_14_17_22_10903)),
inference(resolution,[status(thm)],[166566376,171867272]),
[] ).
cnf(171906944,plain,
~ ra_px1(y_nn_3(i2003_11_14_17_22_10903),A),
inference(resolution,[status(thm)],[166479536,171877408]),
[] ).
cnf(contradiction,plain,
$false,
inference(resolution,[status(thm)],[171935544,171906944]),
[] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% Proof found in: 0 seconds
% START OF PROOF SEQUENCE
% fof(axiom_7,plain,(((~cdxcomp(A)|ra_px1(A,y0_nn_1(A)))&(cdxcomp(A)|~ra_px1(A,C)))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/KRS/KRS124+1.tptp',unknown),[]).
%
% cnf(166497592,plain,(~cdxcomp(A)|ra_px1(A,y0_nn_1(A))),inference(rewrite,[status(thm)],[axiom_7]),[]).
%
% fof(axiom_3,plain,(~cc(A)|cdxcomp(A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/KRS/KRS124+1.tptp',unknown),[]).
%
% cnf(166439448,plain,(~cc(A)|cdxcomp(A)),inference(rewrite,[status(thm)],[axiom_3]),[]).
%
% fof(axiom_12,plain,(((cc(A)|~ca_ax3(A))&(cd(A)|~ca_ax3(A))&(ca_ax3(A)|~cd(A)|~cc(A)))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/KRS/KRS124+1.tptp',unknown),[]).
%
% cnf(166573712,plain,(cc(A)|~ca_ax3(A)),inference(rewrite,[status(thm)],[axiom_12]),[]).
%
% fof(axiom_2,plain,(((~rr(A,C)|ca_ax3(C)|~cunsatisfiable(A))&(rr(A,y_nn_3(A))|~cunsatisfiable(A))&(cowlthing(y_nn_3(A))|~cunsatisfiable(A))&(rr(A,y(A,C,D))|~rr(A,D)|~cowlthing(D)|cunsatisfiable(A))&(~ca_ax3(y(A,C,D))|~rr(A,D)|~cowlthing(D)|cunsatisfiable(A)))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/KRS/KRS124+1.tptp',unknown),[]).
%
% cnf(166432640,plain,(~rr(A,C)|ca_ax3(C)|~cunsatisfiable(A)),inference(rewrite,[status(thm)],[axiom_2]),[]).
%
% fof(axiom_13,plain,(cunsatisfiable(i2003_11_14_17_22_10903)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/KRS/KRS124+1.tptp',unknown),[]).
%
% cnf(166583328,plain,(cunsatisfiable(i2003_11_14_17_22_10903)),inference(rewrite,[status(thm)],[axiom_13]),[]).
%
% cnf(171853408,plain,(~rr(i2003_11_14_17_22_10903,B)|ca_ax3(B)),inference(resolution,[status(thm)],[166432640,166583328]),[]).
%
% cnf(166419792,plain,(rr(A,y_nn_3(A))|~cunsatisfiable(A)),inference(rewrite,[status(thm)],[axiom_2]),[]).
%
% cnf(171837408,plain,(rr(i2003_11_14_17_22_10903,y_nn_3(i2003_11_14_17_22_10903))),inference(resolution,[status(thm)],[166419792,166583328]),[]).
%
% cnf(171867272,plain,(ca_ax3(y_nn_3(i2003_11_14_17_22_10903))),inference(resolution,[status(thm)],[171853408,171837408]),[]).
%
% cnf(171890048,plain,(cc(y_nn_3(i2003_11_14_17_22_10903))),inference(resolution,[status(thm)],[166573712,171867272]),[]).
%
% cnf(171920432,plain,(cdxcomp(y_nn_3(i2003_11_14_17_22_10903))),inference(resolution,[status(thm)],[166439448,171890048]),[]).
%
% cnf(171935544,plain,(ra_px1(y_nn_3(i2003_11_14_17_22_10903),y0_nn_1(y_nn_3(i2003_11_14_17_22_10903)))),inference(resolution,[status(thm)],[166497592,171920432]),[]).
%
% fof(axiom_6,plain,(((~cd(A)|~ra_px1(A,B))&(cd(A)|ra_px1(A,y(A,B))))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/KRS/KRS124+1.tptp',unknown),[]).
%
% cnf(166479536,plain,(~cd(A)|~ra_px1(A,B)),inference(rewrite,[status(thm)],[axiom_6]),[]).
%
% cnf(166566376,plain,(cd(A)|~ca_ax3(A)),inference(rewrite,[status(thm)],[axiom_12]),[]).
%
% cnf(171877408,plain,(cd(y_nn_3(i2003_11_14_17_22_10903))),inference(resolution,[status(thm)],[166566376,171867272]),[]).
%
% cnf(171906944,plain,(~ra_px1(y_nn_3(i2003_11_14_17_22_10903),A)),inference(resolution,[status(thm)],[166479536,171877408]),[]).
%
% cnf(contradiction,plain,$false,inference(resolution,[status(thm)],[171935544,171906944]),[]).
%
% END OF PROOF SEQUENCE
% faust: ../JJParser/Signature.c:39: void FreeSignatureList(SymbolNodeType**): Assertion `(*Symbols)->NumberOfUses == 0' failed.
%
%------------------------------------------------------------------------------