TSTP Solution File: KRS127+1 by Faust---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Faust---1.0
% Problem : KRS127+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 13:28:27 EDT 2009
% Result : Unsatisfiable 0.0s
% Output : Refutation 0.0s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 6
% Syntax : Number of formulae : 27 ( 11 unt; 0 def)
% Number of atoms : 80 ( 0 equ)
% Maximal formula atoms : 30 ( 2 avg)
% Number of connectives : 101 ( 48 ~; 44 |; 9 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 19 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 8 ( 6 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 1 con; 0-5 aty)
% Number of variables : 28 ( 2 sgn 12 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Faust---1.0 format not known, defaulting to TPTP
fof(axiom_6,plain,
cunsatisfiable(i2003_11_14_17_22_27794),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/KRS/KRS127+1.tptp',unknown),
[] ).
cnf(174684248,plain,
cunsatisfiable(i2003_11_14_17_22_27794),
inference(rewrite,[status(thm)],[axiom_6]),
[] ).
fof(axiom_2,plain,
! [A,D,E,F,G] :
( ( rr(A,y_nn_4(A))
| ~ cunsatisfiable(A) )
& ( cd(y_nn_4(A))
| ~ cunsatisfiable(A) )
& ( ~ rr(A,D)
| ~ rr(A,E)
| $equal(E,D)
| ~ cunsatisfiable(A) )
& ( rr(A,y_nn_5(A))
| ~ cunsatisfiable(A) )
& ( cc(y_nn_5(A))
| ~ cunsatisfiable(A) )
& ( ~ $equal(y1(A,D,E,F,G),y0(A,D,E,F,G))
| ~ rr(A,G)
| ~ cd(G)
| ~ rr(A,F)
| ~ cc(F)
| cunsatisfiable(A) )
& ( rr(A,y0(A,D,E,F,G))
| ~ rr(A,G)
| ~ cd(G)
| ~ rr(A,F)
| ~ cc(F)
| cunsatisfiable(A) )
& ( rr(A,y1(A,D,E,F,G))
| ~ rr(A,G)
| ~ cd(G)
| ~ rr(A,F)
| ~ cc(F)
| cunsatisfiable(A) ) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/KRS/KRS127+1.tptp',unknown),
[] ).
cnf(174610856,plain,
( rr(A,y_nn_5(A))
| ~ cunsatisfiable(A) ),
inference(rewrite,[status(thm)],[axiom_2]),
[] ).
cnf(179926144,plain,
rr(i2003_11_14_17_22_27794,y_nn_5(i2003_11_14_17_22_27794)),
inference(resolution,[status(thm)],[174610856,174684248]),
[] ).
cnf(174625368,plain,
( ~ rr(A,D)
| ~ rr(A,E)
| $equal(E,D)
| ~ cunsatisfiable(A) ),
inference(rewrite,[status(thm)],[axiom_2]),
[] ).
fof(cdxcomp_substitution_1,plain,
! [B,A] :
( ~ $equal(B,A)
| ~ cdxcomp(A)
| cdxcomp(B) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/KRS/KRS127+1.tptp',unknown),
[] ).
cnf(174419400,plain,
( ~ $equal(B,A)
| ~ cdxcomp(A)
| cdxcomp(B) ),
inference(rewrite,[status(thm)],[cdxcomp_substitution_1]),
[] ).
fof(axiom_5,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/KRS127+1.tptp',unknown),
[] ).
cnf(174679408,plain,
( ~ cdxcomp(A)
| ra_px1(A,y0_nn_1(A)) ),
inference(rewrite,[status(thm)],[axiom_5]),
[] ).
fof(axiom_4,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/KRS127+1.tptp',unknown),
[] ).
cnf(174661896,plain,
( ~ cd(A)
| ~ ra_px1(A,B) ),
inference(rewrite,[status(thm)],[axiom_4]),
[] ).
cnf(174632240,plain,
( cd(y_nn_4(A))
| ~ cunsatisfiable(A) ),
inference(rewrite,[status(thm)],[axiom_2]),
[] ).
cnf(179915344,plain,
cd(y_nn_4(i2003_11_14_17_22_27794)),
inference(resolution,[status(thm)],[174632240,174684248]),
[] ).
cnf(180077344,plain,
~ ra_px1(y_nn_4(i2003_11_14_17_22_27794),A),
inference(resolution,[status(thm)],[174661896,179915344]),
[] ).
cnf(180283144,plain,
~ cdxcomp(y_nn_4(i2003_11_14_17_22_27794)),
inference(resolution,[status(thm)],[174679408,180077344]),
[] ).
cnf(180319480,plain,
( ~ $equal(y_nn_4(i2003_11_14_17_22_27794),A)
| ~ cdxcomp(A) ),
inference(resolution,[status(thm)],[174419400,180283144]),
[] ).
fof(axiom_3,plain,
! [A] :
( ~ cc(A)
| cdxcomp(A) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/KRS/KRS127+1.tptp',unknown),
[] ).
cnf(174648776,plain,
( ~ cc(A)
| cdxcomp(A) ),
inference(rewrite,[status(thm)],[axiom_3]),
[] ).
cnf(174604688,plain,
( cc(y_nn_5(A))
| ~ cunsatisfiable(A) ),
inference(rewrite,[status(thm)],[axiom_2]),
[] ).
cnf(179898696,plain,
cc(y_nn_5(i2003_11_14_17_22_27794)),
inference(resolution,[status(thm)],[174604688,174684248]),
[] ).
cnf(179967864,plain,
cdxcomp(y_nn_5(i2003_11_14_17_22_27794)),
inference(resolution,[status(thm)],[174648776,179898696]),
[] ).
cnf(180341584,plain,
~ $equal(y_nn_4(i2003_11_14_17_22_27794),y_nn_5(i2003_11_14_17_22_27794)),
inference(resolution,[status(thm)],[180319480,179967864]),
[] ).
cnf(180414544,plain,
( ~ rr(A,y_nn_5(i2003_11_14_17_22_27794))
| ~ rr(A,y_nn_4(i2003_11_14_17_22_27794))
| ~ cunsatisfiable(A) ),
inference(resolution,[status(thm)],[174625368,180341584]),
[] ).
cnf(174638408,plain,
( rr(A,y_nn_4(A))
| ~ cunsatisfiable(A) ),
inference(rewrite,[status(thm)],[axiom_2]),
[] ).
cnf(179940168,plain,
rr(i2003_11_14_17_22_27794,y_nn_4(i2003_11_14_17_22_27794)),
inference(resolution,[status(thm)],[174638408,174684248]),
[] ).
cnf(contradiction,plain,
$false,
inference(forward_subsumption_resolution__resolution,[status(thm)],[174684248,179926144,180414544,179940168]),
[] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% Proof found in: 0 seconds
% START OF PROOF SEQUENCE
% fof(axiom_6,plain,(cunsatisfiable(i2003_11_14_17_22_27794)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/KRS/KRS127+1.tptp',unknown),[]).
%
% cnf(174684248,plain,(cunsatisfiable(i2003_11_14_17_22_27794)),inference(rewrite,[status(thm)],[axiom_6]),[]).
%
% fof(axiom_2,plain,(((rr(A,y_nn_4(A))|~cunsatisfiable(A))&(cd(y_nn_4(A))|~cunsatisfiable(A))&(~rr(A,D)|~rr(A,E)|$equal(E,D)|~cunsatisfiable(A))&(rr(A,y_nn_5(A))|~cunsatisfiable(A))&(cc(y_nn_5(A))|~cunsatisfiable(A))&(~$equal(y1(A,D,E,F,G),y0(A,D,E,F,G))|~rr(A,G)|~cd(G)|~rr(A,F)|~cc(F)|cunsatisfiable(A))&(rr(A,y0(A,D,E,F,G))|~rr(A,G)|~cd(G)|~rr(A,F)|~cc(F)|cunsatisfiable(A))&(rr(A,y1(A,D,E,F,G))|~rr(A,G)|~cd(G)|~rr(A,F)|~cc(F)|cunsatisfiable(A)))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/KRS/KRS127+1.tptp',unknown),[]).
%
% cnf(174610856,plain,(rr(A,y_nn_5(A))|~cunsatisfiable(A)),inference(rewrite,[status(thm)],[axiom_2]),[]).
%
% cnf(179926144,plain,(rr(i2003_11_14_17_22_27794,y_nn_5(i2003_11_14_17_22_27794))),inference(resolution,[status(thm)],[174610856,174684248]),[]).
%
% cnf(174625368,plain,(~rr(A,D)|~rr(A,E)|$equal(E,D)|~cunsatisfiable(A)),inference(rewrite,[status(thm)],[axiom_2]),[]).
%
% fof(cdxcomp_substitution_1,plain,(~$equal(B,A)|~cdxcomp(A)|cdxcomp(B)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/KRS/KRS127+1.tptp',unknown),[]).
%
% cnf(174419400,plain,(~$equal(B,A)|~cdxcomp(A)|cdxcomp(B)),inference(rewrite,[status(thm)],[cdxcomp_substitution_1]),[]).
%
% fof(axiom_5,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/KRS127+1.tptp',unknown),[]).
%
% cnf(174679408,plain,(~cdxcomp(A)|ra_px1(A,y0_nn_1(A))),inference(rewrite,[status(thm)],[axiom_5]),[]).
%
% fof(axiom_4,plain,(((~cd(A)|~ra_px1(A,B))&(cd(A)|ra_px1(A,y(A,B))))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/KRS/KRS127+1.tptp',unknown),[]).
%
% cnf(174661896,plain,(~cd(A)|~ra_px1(A,B)),inference(rewrite,[status(thm)],[axiom_4]),[]).
%
% cnf(174632240,plain,(cd(y_nn_4(A))|~cunsatisfiable(A)),inference(rewrite,[status(thm)],[axiom_2]),[]).
%
% cnf(179915344,plain,(cd(y_nn_4(i2003_11_14_17_22_27794))),inference(resolution,[status(thm)],[174632240,174684248]),[]).
%
% cnf(180077344,plain,(~ra_px1(y_nn_4(i2003_11_14_17_22_27794),A)),inference(resolution,[status(thm)],[174661896,179915344]),[]).
%
% cnf(180283144,plain,(~cdxcomp(y_nn_4(i2003_11_14_17_22_27794))),inference(resolution,[status(thm)],[174679408,180077344]),[]).
%
% cnf(180319480,plain,(~$equal(y_nn_4(i2003_11_14_17_22_27794),A)|~cdxcomp(A)),inference(resolution,[status(thm)],[174419400,180283144]),[]).
%
% fof(axiom_3,plain,(~cc(A)|cdxcomp(A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/KRS/KRS127+1.tptp',unknown),[]).
%
% cnf(174648776,plain,(~cc(A)|cdxcomp(A)),inference(rewrite,[status(thm)],[axiom_3]),[]).
%
% cnf(174604688,plain,(cc(y_nn_5(A))|~cunsatisfiable(A)),inference(rewrite,[status(thm)],[axiom_2]),[]).
%
% cnf(179898696,plain,(cc(y_nn_5(i2003_11_14_17_22_27794))),inference(resolution,[status(thm)],[174604688,174684248]),[]).
%
% cnf(179967864,plain,(cdxcomp(y_nn_5(i2003_11_14_17_22_27794))),inference(resolution,[status(thm)],[174648776,179898696]),[]).
%
% cnf(180341584,plain,(~$equal(y_nn_4(i2003_11_14_17_22_27794),y_nn_5(i2003_11_14_17_22_27794))),inference(resolution,[status(thm)],[180319480,179967864]),[]).
%
% cnf(180414544,plain,(~rr(A,y_nn_5(i2003_11_14_17_22_27794))|~rr(A,y_nn_4(i2003_11_14_17_22_27794))|~cunsatisfiable(A)),inference(resolution,[status(thm)],[174625368,180341584]),[]).
%
% cnf(174638408,plain,(rr(A,y_nn_4(A))|~cunsatisfiable(A)),inference(rewrite,[status(thm)],[axiom_2]),[]).
%
% cnf(179940168,plain,(rr(i2003_11_14_17_22_27794,y_nn_4(i2003_11_14_17_22_27794))),inference(resolution,[status(thm)],[174638408,174684248]),[]).
%
% cnf(contradiction,plain,$false,inference(forward_subsumption_resolution__resolution,[status(thm)],[174684248,179926144,180414544,179940168]),[]).
%
% END OF PROOF SEQUENCE
% faust: ../JJParser/Signature.c:39: void FreeSignatureList(SymbolNodeType**): Assertion `(*Symbols)->NumberOfUses == 0' failed.
%
%------------------------------------------------------------------------------