TSTP Solution File: KRS156+1 by Faust---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Faust---1.0
% Problem : KRS156+1 : TPTP v3.4.2. Released v3.1.0.
% Transfm : none
% Format : tptp
% Command : faust %s
% Computer : art03.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 13:30:02 EDT 2009
% Result : Theorem 0.3s
% Output : Refutation 0.3s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 9
% Syntax : Number of formulae : 28 ( 13 unt; 0 def)
% Number of atoms : 95 ( 0 equ)
% Maximal formula atoms : 32 ( 3 avg)
% Number of connectives : 117 ( 50 ~; 56 |; 11 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 11 ( 10 usr; 1 prp; 0-1 aty)
% Number of functors : 3 ( 3 usr; 3 con; 0-0 aty)
% Number of variables : 12 ( 2 sgn 5 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Faust---1.0 format not known, defaulting to TPTP
fof(axiom_127,plain,
! [A] :
( ( cc116(A)
| ~ ctest(A) )
& ( cc140(A)
| ~ ctest(A) )
& ( ctest(A)
| ~ cc140(A)
| ~ cc116(A) ) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/KRS/KRS156+1.tptp',unknown),
[] ).
cnf(159456296,plain,
( cc140(A)
| ~ ctest(A) ),
inference(rewrite,[status(thm)],[axiom_127]),
[] ).
fof(axiom_131,plain,
ctest(iv5475),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/KRS/KRS156+1.tptp',unknown),
[] ).
cnf(159545776,plain,
ctest(iv5475),
inference(rewrite,[status(thm)],[axiom_131]),
[] ).
cnf(172810312,plain,
cc140(iv5475),
inference(resolution,[status(thm)],[159456296,159545776]),
[] ).
fof(the_axiom,plain,
( ( ~ xsd_integer(x)
| xsd_integer(x)
| ~ cc116(iv5475)
| ~ cc140(iv5475)
| ~ cowlthing(iv5475)
| ~ cc138(iv5475)
| ~ cowlthing(x_nn_1)
| cowlnothing(x_nn_1) )
& ( ~ xsd_string(x)
| xsd_integer(x)
| ~ cc116(iv5475)
| ~ cc140(iv5475)
| ~ cowlthing(iv5475)
| ~ cc138(iv5475)
| ~ cowlthing(x_nn_1)
| cowlnothing(x_nn_1) )
& ( ~ xsd_integer(x)
| xsd_string(x)
| ~ cc116(iv5475)
| ~ cc140(iv5475)
| ~ cowlthing(iv5475)
| ~ cc138(iv5475)
| ~ cowlthing(x_nn_1)
| cowlnothing(x_nn_1) )
& ( ~ xsd_string(x)
| xsd_string(x)
| ~ cc116(iv5475)
| ~ cc140(iv5475)
| ~ cowlthing(iv5475)
| ~ cc138(iv5475)
| ~ cowlthing(x_nn_1)
| cowlnothing(x_nn_1) ) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/KRS/KRS156+1.tptp',unknown),
[] ).
fof(axiom_49,plain,
! [A] :
( ( cc138(A)
| ~ cc140(A) )
& ( ctop(A)
| ~ cc140(A) )
& ( cc140(A)
| ~ ctop(A)
| ~ cc138(A) ) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/KRS/KRS156+1.tptp',unknown),
[] ).
cnf(154262528,plain,
( cc138(A)
| ~ cc140(A) ),
inference(rewrite,[status(thm)],[axiom_49]),
[] ).
fof(axiom_1,plain,
! [A] :
( ( ~ xsd_string(A)
| ~ xsd_integer(A) )
& ( xsd_string(A)
| xsd_integer(A) ) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/KRS/KRS156+1.tptp',unknown),
[] ).
cnf(150889904,plain,
( xsd_string(A)
| xsd_integer(A) ),
inference(rewrite,[status(thm)],[axiom_1]),
[] ).
fof(axiom_0,plain,
! [A] :
( cowlthing(A)
& ~ cowlnothing(A) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/KRS/KRS156+1.tptp',unknown),
[] ).
cnf(150863080,plain,
cowlthing(A),
inference(rewrite,[status(thm)],[axiom_0]),
[] ).
cnf(159954688,plain,
( xsd_string(x)
| ~ cc116(iv5475)
| ~ cc140(iv5475)
| cowlnothing(x_nn_1) ),
inference(rewrite__forward_subsumption_resolution,[status(thm)],[the_axiom,154262528,150889904,150863080]),
[] ).
cnf(159985232,plain,
( xsd_integer(x)
| ~ cc116(iv5475)
| ~ cc140(iv5475)
| cowlnothing(x_nn_1) ),
inference(rewrite__forward_subsumption_resolution,[status(thm)],[the_axiom,159954688,154262528,150863080]),
[] ).
fof(axiom_130,plain,
cc114xcomp(iv5475),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/KRS/KRS156+1.tptp',unknown),
[] ).
cnf(159526128,plain,
cc114xcomp(iv5475),
inference(rewrite,[status(thm)],[axiom_130]),
[] ).
fof(axiom_25,plain,
! [A] :
( ( cc114xcomp(A)
| ~ cc116(A) )
& ( ctop(A)
| ~ cc116(A) )
& ( cc116(A)
| ~ ctop(A)
| ~ cc114xcomp(A) ) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/KRS/KRS156+1.tptp',unknown),
[] ).
cnf(152469712,plain,
( cc116(A)
| ~ ctop(A)
| ~ cc114xcomp(A) ),
inference(rewrite,[status(thm)],[axiom_25]),
[] ).
fof(axiom_128,plain,
ctop(iv5475),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/KRS/KRS156+1.tptp',unknown),
[] ).
cnf(159501712,plain,
ctop(iv5475),
inference(rewrite,[status(thm)],[axiom_128]),
[] ).
cnf(169736368,plain,
cc116(iv5475),
inference(forward_subsumption_resolution__resolution,[status(thm)],[159526128,152469712,159501712]),
[] ).
cnf(173339432,plain,
( xsd_integer(x)
| cowlnothing(x_nn_1) ),
inference(forward_subsumption_resolution__resolution,[status(thm)],[172810312,159985232,169736368]),
[] ).
cnf(150831304,plain,
~ cowlnothing(A),
inference(rewrite,[status(thm)],[axiom_0]),
[] ).
cnf(176868048,plain,
xsd_integer(x),
inference(resolution,[status(thm)],[173339432,150831304]),
[] ).
cnf(173340520,plain,
( xsd_string(x)
| cowlnothing(x_nn_1) ),
inference(forward_subsumption_resolution__resolution,[status(thm)],[172810312,159954688,169736368]),
[] ).
cnf(176848136,plain,
xsd_string(x),
inference(resolution,[status(thm)],[173340520,150831304]),
[] ).
cnf(150916792,plain,
( ~ xsd_string(A)
| ~ xsd_integer(A) ),
inference(rewrite,[status(thm)],[axiom_1]),
[] ).
cnf(contradiction,plain,
$false,
inference(forward_subsumption_resolution__resolution,[status(thm)],[176868048,176848136,150916792]),
[] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% Proof found in: 1 seconds
% START OF PROOF SEQUENCE
% fof(axiom_127,plain,(((cc116(A)|~ctest(A))&(cc140(A)|~ctest(A))&(ctest(A)|~cc140(A)|~cc116(A)))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/KRS/KRS156+1.tptp',unknown),[]).
%
% cnf(159456296,plain,(cc140(A)|~ctest(A)),inference(rewrite,[status(thm)],[axiom_127]),[]).
%
% fof(axiom_131,plain,(ctest(iv5475)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/KRS/KRS156+1.tptp',unknown),[]).
%
% cnf(159545776,plain,(ctest(iv5475)),inference(rewrite,[status(thm)],[axiom_131]),[]).
%
% cnf(172810312,plain,(cc140(iv5475)),inference(resolution,[status(thm)],[159456296,159545776]),[]).
%
% fof(the_axiom,plain,(((~xsd_integer(x)|xsd_integer(x)|~cc116(iv5475)|~cc140(iv5475)|~cowlthing(iv5475)|~cc138(iv5475)|~cowlthing(x_nn_1)|cowlnothing(x_nn_1))&(~xsd_string(x)|xsd_integer(x)|~cc116(iv5475)|~cc140(iv5475)|~cowlthing(iv5475)|~cc138(iv5475)|~cowlthing(x_nn_1)|cowlnothing(x_nn_1))&(~xsd_integer(x)|xsd_string(x)|~cc116(iv5475)|~cc140(iv5475)|~cowlthing(iv5475)|~cc138(iv5475)|~cowlthing(x_nn_1)|cowlnothing(x_nn_1))&(~xsd_string(x)|xsd_string(x)|~cc116(iv5475)|~cc140(iv5475)|~cowlthing(iv5475)|~cc138(iv5475)|~cowlthing(x_nn_1)|cowlnothing(x_nn_1)))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/KRS/KRS156+1.tptp',unknown),[]).
%
% fof(axiom_49,plain,(((cc138(A)|~cc140(A))&(ctop(A)|~cc140(A))&(cc140(A)|~ctop(A)|~cc138(A)))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/KRS/KRS156+1.tptp',unknown),[]).
%
% cnf(154262528,plain,(cc138(A)|~cc140(A)),inference(rewrite,[status(thm)],[axiom_49]),[]).
%
% fof(axiom_1,plain,(((~xsd_string(A)|~xsd_integer(A))&(xsd_string(A)|xsd_integer(A)))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/KRS/KRS156+1.tptp',unknown),[]).
%
% cnf(150889904,plain,(xsd_string(A)|xsd_integer(A)),inference(rewrite,[status(thm)],[axiom_1]),[]).
%
% fof(axiom_0,plain,((cowlthing(A)&~cowlnothing(A))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/KRS/KRS156+1.tptp',unknown),[]).
%
% cnf(150863080,plain,(cowlthing(A)),inference(rewrite,[status(thm)],[axiom_0]),[]).
%
% cnf(159954688,plain,(xsd_string(x)|~cc116(iv5475)|~cc140(iv5475)|cowlnothing(x_nn_1)),inference(rewrite__forward_subsumption_resolution,[status(thm)],[the_axiom,154262528,150889904,150863080]),[]).
%
% cnf(159985232,plain,(xsd_integer(x)|~cc116(iv5475)|~cc140(iv5475)|cowlnothing(x_nn_1)),inference(rewrite__forward_subsumption_resolution,[status(thm)],[the_axiom,159954688,154262528,150863080]),[]).
%
% fof(axiom_130,plain,(cc114xcomp(iv5475)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/KRS/KRS156+1.tptp',unknown),[]).
%
% cnf(159526128,plain,(cc114xcomp(iv5475)),inference(rewrite,[status(thm)],[axiom_130]),[]).
%
% fof(axiom_25,plain,(((cc114xcomp(A)|~cc116(A))&(ctop(A)|~cc116(A))&(cc116(A)|~ctop(A)|~cc114xcomp(A)))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/KRS/KRS156+1.tptp',unknown),[]).
%
% cnf(152469712,plain,(cc116(A)|~ctop(A)|~cc114xcomp(A)),inference(rewrite,[status(thm)],[axiom_25]),[]).
%
% fof(axiom_128,plain,(ctop(iv5475)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/KRS/KRS156+1.tptp',unknown),[]).
%
% cnf(159501712,plain,(ctop(iv5475)),inference(rewrite,[status(thm)],[axiom_128]),[]).
%
% cnf(169736368,plain,(cc116(iv5475)),inference(forward_subsumption_resolution__resolution,[status(thm)],[159526128,152469712,159501712]),[]).
%
% cnf(173339432,plain,(xsd_integer(x)|cowlnothing(x_nn_1)),inference(forward_subsumption_resolution__resolution,[status(thm)],[172810312,159985232,169736368]),[]).
%
% cnf(150831304,plain,(~cowlnothing(A)),inference(rewrite,[status(thm)],[axiom_0]),[]).
%
% cnf(176868048,plain,(xsd_integer(x)),inference(resolution,[status(thm)],[173339432,150831304]),[]).
%
% cnf(173340520,plain,(xsd_string(x)|cowlnothing(x_nn_1)),inference(forward_subsumption_resolution__resolution,[status(thm)],[172810312,159954688,169736368]),[]).
%
% cnf(176848136,plain,(xsd_string(x)),inference(resolution,[status(thm)],[173340520,150831304]),[]).
%
% cnf(150916792,plain,(~xsd_string(A)|~xsd_integer(A)),inference(rewrite,[status(thm)],[axiom_1]),[]).
%
% cnf(contradiction,plain,$false,inference(forward_subsumption_resolution__resolution,[status(thm)],[176868048,176848136,150916792]),[]).
%
% END OF PROOF SEQUENCE
% faust: ../JJParser/Signature.c:39: void FreeSignatureList(SymbolNodeType**): Assertion `(*Symbols)->NumberOfUses == 0' failed.
%
%------------------------------------------------------------------------------