TSTP Solution File: KRS096+1 by Faust---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Faust---1.0
% Problem : KRS096+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 13:27:09 EDT 2009
% Result : Unsatisfiable 0.0s
% Output : Refutation 0.0s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 4
% Syntax : Number of formulae : 21 ( 9 unt; 0 def)
% Number of atoms : 65 ( 0 equ)
% Maximal formula atoms : 30 ( 3 avg)
% Number of connectives : 83 ( 39 ~; 37 |; 7 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 19 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 1 con; 0-5 aty)
% Number of variables : 20 ( 0 sgn 8 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Faust---1.0 format not known, defaulting to TPTP
fof(axiom_4,plain,
cunsatisfiable(i2003_11_14_17_20_18265),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/KRS/KRS096+1.tptp',unknown),
[] ).
cnf(171750832,plain,
cunsatisfiable(i2003_11_14_17_20_18265),
inference(rewrite,[status(thm)],[axiom_4]),
[] ).
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/KRS096+1.tptp',unknown),
[] ).
cnf(171722760,plain,
( ~ rr(A,D)
| ~ rr(A,E)
| $equal(E,D)
| ~ cunsatisfiable(A) ),
inference(rewrite,[status(thm)],[axiom_2]),
[] ).
cnf(171739488,plain,
( rr(A,y_nn_4(A))
| ~ cunsatisfiable(A) ),
inference(rewrite,[status(thm)],[axiom_2]),
[] ).
cnf(176982560,plain,
rr(i2003_11_14_17_20_18265,y_nn_4(i2003_11_14_17_20_18265)),
inference(resolution,[status(thm)],[171739488,171750832]),
[] ).
cnf(177256192,plain,
( ~ rr(i2003_11_14_17_20_18265,C)
| $equal(C,y_nn_4(i2003_11_14_17_20_18265)) ),
inference(forward_subsumption_resolution__resolution,[status(thm)],[171750832,171722760,176982560]),
[] ).
cnf(171500000,plain,
( rr(A,y_nn_5(A))
| ~ cunsatisfiable(A) ),
inference(rewrite,[status(thm)],[axiom_2]),
[] ).
cnf(176972752,plain,
rr(i2003_11_14_17_20_18265,y_nn_5(i2003_11_14_17_20_18265)),
inference(resolution,[status(thm)],[171500000,171750832]),
[] ).
cnf(177275672,plain,
$equal(y_nn_5(i2003_11_14_17_20_18265),y_nn_4(i2003_11_14_17_20_18265)),
inference(resolution,[status(thm)],[177256192,176972752]),
[] ).
fof(cd_substitution_1,plain,
! [B,A] :
( ~ $equal(B,A)
| ~ cd(A)
| cd(B) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/KRS/KRS096+1.tptp',unknown),
[] ).
cnf(171529616,plain,
( ~ $equal(B,A)
| ~ cd(A)
| cd(B) ),
inference(rewrite,[status(thm)],[cd_substitution_1]),
[] ).
fof(axiom_3,plain,
! [A] :
( ~ cc(A)
| ~ cd(A) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/KRS/KRS096+1.tptp',unknown),
[] ).
cnf(171745968,plain,
( ~ cc(A)
| ~ cd(A) ),
inference(rewrite,[status(thm)],[axiom_3]),
[] ).
cnf(171702384,plain,
( cc(y_nn_5(A))
| ~ cunsatisfiable(A) ),
inference(rewrite,[status(thm)],[axiom_2]),
[] ).
cnf(176945528,plain,
cc(y_nn_5(i2003_11_14_17_20_18265)),
inference(resolution,[status(thm)],[171702384,171750832]),
[] ).
cnf(177014968,plain,
~ cd(y_nn_5(i2003_11_14_17_20_18265)),
inference(resolution,[status(thm)],[171745968,176945528]),
[] ).
cnf(177304672,plain,
( ~ $equal(y_nn_5(i2003_11_14_17_20_18265),A)
| ~ cd(A) ),
inference(resolution,[status(thm)],[171529616,177014968]),
[] ).
cnf(171729424,plain,
( cd(y_nn_4(A))
| ~ cunsatisfiable(A) ),
inference(rewrite,[status(thm)],[axiom_2]),
[] ).
cnf(176962016,plain,
cd(y_nn_4(i2003_11_14_17_20_18265)),
inference(resolution,[status(thm)],[171729424,171750832]),
[] ).
cnf(contradiction,plain,
$false,
inference(forward_subsumption_resolution__resolution,[status(thm)],[177275672,177304672,176962016]),
[] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% Proof found in: 0 seconds
% START OF PROOF SEQUENCE
% fof(axiom_4,plain,(cunsatisfiable(i2003_11_14_17_20_18265)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/KRS/KRS096+1.tptp',unknown),[]).
%
% cnf(171750832,plain,(cunsatisfiable(i2003_11_14_17_20_18265)),inference(rewrite,[status(thm)],[axiom_4]),[]).
%
% fof(axiom_2,plain,(((rr(A,y_nn_4(A))|~cunsatisfiable(A))&(cd(y_nn_4(A))|~cunsatisfiable(A))&(~rr(A,D)|~rr(A,E)|$equal(E,D)|~cunsatisfiable(A))&(rr(A,y_nn_5(A))|~cunsatisfiable(A))&(cc(y_nn_5(A))|~cunsatisfiable(A))&(~$equal(y1(A,D,E,F,G),y0(A,D,E,F,G))|~rr(A,G)|~cd(G)|~rr(A,F)|~cc(F)|cunsatisfiable(A))&(rr(A,y0(A,D,E,F,G))|~rr(A,G)|~cd(G)|~rr(A,F)|~cc(F)|cunsatisfiable(A))&(rr(A,y1(A,D,E,F,G))|~rr(A,G)|~cd(G)|~rr(A,F)|~cc(F)|cunsatisfiable(A)))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/KRS/KRS096+1.tptp',unknown),[]).
%
% cnf(171722760,plain,(~rr(A,D)|~rr(A,E)|$equal(E,D)|~cunsatisfiable(A)),inference(rewrite,[status(thm)],[axiom_2]),[]).
%
% cnf(171739488,plain,(rr(A,y_nn_4(A))|~cunsatisfiable(A)),inference(rewrite,[status(thm)],[axiom_2]),[]).
%
% cnf(176982560,plain,(rr(i2003_11_14_17_20_18265,y_nn_4(i2003_11_14_17_20_18265))),inference(resolution,[status(thm)],[171739488,171750832]),[]).
%
% cnf(177256192,plain,(~rr(i2003_11_14_17_20_18265,C)|$equal(C,y_nn_4(i2003_11_14_17_20_18265))),inference(forward_subsumption_resolution__resolution,[status(thm)],[171750832,171722760,176982560]),[]).
%
% cnf(171500000,plain,(rr(A,y_nn_5(A))|~cunsatisfiable(A)),inference(rewrite,[status(thm)],[axiom_2]),[]).
%
% cnf(176972752,plain,(rr(i2003_11_14_17_20_18265,y_nn_5(i2003_11_14_17_20_18265))),inference(resolution,[status(thm)],[171500000,171750832]),[]).
%
% cnf(177275672,plain,($equal(y_nn_5(i2003_11_14_17_20_18265),y_nn_4(i2003_11_14_17_20_18265))),inference(resolution,[status(thm)],[177256192,176972752]),[]).
%
% fof(cd_substitution_1,plain,(~$equal(B,A)|~cd(A)|cd(B)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/KRS/KRS096+1.tptp',unknown),[]).
%
% cnf(171529616,plain,(~$equal(B,A)|~cd(A)|cd(B)),inference(rewrite,[status(thm)],[cd_substitution_1]),[]).
%
% fof(axiom_3,plain,(~cc(A)|~cd(A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/KRS/KRS096+1.tptp',unknown),[]).
%
% cnf(171745968,plain,(~cc(A)|~cd(A)),inference(rewrite,[status(thm)],[axiom_3]),[]).
%
% cnf(171702384,plain,(cc(y_nn_5(A))|~cunsatisfiable(A)),inference(rewrite,[status(thm)],[axiom_2]),[]).
%
% cnf(176945528,plain,(cc(y_nn_5(i2003_11_14_17_20_18265))),inference(resolution,[status(thm)],[171702384,171750832]),[]).
%
% cnf(177014968,plain,(~cd(y_nn_5(i2003_11_14_17_20_18265))),inference(resolution,[status(thm)],[171745968,176945528]),[]).
%
% cnf(177304672,plain,(~$equal(y_nn_5(i2003_11_14_17_20_18265),A)|~cd(A)),inference(resolution,[status(thm)],[171529616,177014968]),[]).
%
% cnf(171729424,plain,(cd(y_nn_4(A))|~cunsatisfiable(A)),inference(rewrite,[status(thm)],[axiom_2]),[]).
%
% cnf(176962016,plain,(cd(y_nn_4(i2003_11_14_17_20_18265))),inference(resolution,[status(thm)],[171729424,171750832]),[]).
%
% cnf(contradiction,plain,$false,inference(forward_subsumption_resolution__resolution,[status(thm)],[177275672,177304672,176962016]),[]).
%
% END OF PROOF SEQUENCE
% faust: ../JJParser/Signature.c:39: void FreeSignatureList(SymbolNodeType**): Assertion `(*Symbols)->NumberOfUses == 0' failed.
%
%------------------------------------------------------------------------------