TSTP Solution File: KRS134+1 by Faust---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Faust---1.0
% Problem : KRS134+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 13:28:53 EDT 2009
% Result : Theorem 0.1s
% Output : Refutation 0.1s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 4
% Syntax : Number of formulae : 21 ( 6 unt; 0 def)
% Number of atoms : 100 ( 0 equ)
% Maximal formula atoms : 60 ( 4 avg)
% Number of connectives : 121 ( 42 ~; 66 |; 13 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 7 ( 6 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 4 con; 0-0 aty)
% Number of variables : 11 ( 4 sgn 4 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Faust---1.0 format not known, defaulting to TPTP
fof(the_axiom,plain,
( ( ~ xsd_integer(x_nn_1)
| xsd_integer(x_nn_1)
| cowlthing(x)
| ~ cowlthing(x_nn_2)
| cowlnothing(x_nn_2) )
& ( ~ xsd_string(x_nn_1)
| xsd_integer(x_nn_1)
| cowlthing(x)
| ~ cowlthing(x_nn_2)
| cowlnothing(x_nn_2) )
& ( ~ xsd_integer(x_nn_1)
| xsd_string(x_nn_1)
| cowlthing(x)
| ~ cowlthing(x_nn_2)
| cowlnothing(x_nn_2) )
& ( ~ xsd_string(x_nn_1)
| xsd_string(x_nn_1)
| cowlthing(x)
| ~ cowlthing(x_nn_2)
| cowlnothing(x_nn_2) )
& ( ~ xsd_integer(x_nn_1)
| xsd_integer(x_nn_1)
| rprop(x,y)
| ~ cowlthing(x_nn_2)
| cowlnothing(x_nn_2) )
& ( ~ xsd_string(x_nn_1)
| xsd_integer(x_nn_1)
| rprop(x,y)
| ~ cowlthing(x_nn_2)
| cowlnothing(x_nn_2) )
& ( ~ xsd_integer(x_nn_1)
| xsd_string(x_nn_1)
| rprop(x,y)
| ~ cowlthing(x_nn_2)
| cowlnothing(x_nn_2) )
& ( ~ xsd_string(x_nn_1)
| xsd_string(x_nn_1)
| rprop(x,y)
| ~ cowlthing(x_nn_2)
| cowlnothing(x_nn_2) )
& ( ~ xsd_integer(x_nn_1)
| xsd_integer(x_nn_1)
| ~ ca(y)
| ~ cowlthing(x_nn_2)
| cowlnothing(x_nn_2) )
& ( ~ xsd_string(x_nn_1)
| xsd_integer(x_nn_1)
| ~ ca(y)
| ~ cowlthing(x_nn_2)
| cowlnothing(x_nn_2) )
& ( ~ xsd_integer(x_nn_1)
| xsd_string(x_nn_1)
| ~ ca(y)
| ~ cowlthing(x_nn_2)
| cowlnothing(x_nn_2) )
& ( ~ xsd_string(x_nn_1)
| xsd_string(x_nn_1)
| ~ ca(y)
| ~ cowlthing(x_nn_2)
| cowlnothing(x_nn_2) ) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/KRS/KRS134+1.tptp',unknown),
[] ).
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/KRS134+1.tptp',unknown),
[] ).
cnf(151879472,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/KRS134+1.tptp',unknown),
[] ).
cnf(151872976,plain,
cowlthing(A),
inference(rewrite,[status(thm)],[axiom_0]),
[] ).
cnf(152120496,plain,
( xsd_string(x_nn_1)
| rprop(x,y)
| cowlnothing(x_nn_2) ),
inference(rewrite__forward_subsumption_resolution,[status(thm)],[the_axiom,151879472,151872976]),
[] ).
cnf(152127024,plain,
( xsd_integer(x_nn_1)
| rprop(x,y)
| cowlnothing(x_nn_2) ),
inference(rewrite__forward_subsumption_resolution,[status(thm)],[the_axiom,152120496,151872976]),
[] ).
cnf(151863904,plain,
~ cowlnothing(A),
inference(rewrite,[status(thm)],[axiom_0]),
[] ).
cnf(167844952,plain,
( xsd_integer(x_nn_1)
| rprop(x,y) ),
inference(resolution,[status(thm)],[152127024,151863904]),
[] ).
cnf(167840392,plain,
( xsd_string(x_nn_1)
| rprop(x,y) ),
inference(resolution,[status(thm)],[152120496,151863904]),
[] ).
cnf(151886032,plain,
( ~ xsd_string(A)
| ~ xsd_integer(A) ),
inference(rewrite,[status(thm)],[axiom_1]),
[] ).
cnf(167894400,plain,
rprop(x,y),
inference(forward_subsumption_resolution__resolution,[status(thm)],[167844952,167840392,151886032]),
[] ).
cnf(152105608,plain,
( xsd_string(x_nn_1)
| ~ ca(y)
| cowlnothing(x_nn_2) ),
inference(rewrite__forward_subsumption_resolution,[status(thm)],[the_axiom,151879472,151872976]),
[] ).
cnf(152113992,plain,
( xsd_integer(x_nn_1)
| ~ ca(y)
| cowlnothing(x_nn_2) ),
inference(rewrite__forward_subsumption_resolution,[status(thm)],[the_axiom,152105608,151872976]),
[] ).
cnf(167835840,plain,
( xsd_integer(x_nn_1)
| ~ ca(y) ),
inference(resolution,[status(thm)],[152113992,151863904]),
[] ).
cnf(167827192,plain,
( xsd_string(x_nn_1)
| ~ ca(y) ),
inference(resolution,[status(thm)],[152105608,151863904]),
[] ).
cnf(167863736,plain,
~ ca(y),
inference(forward_subsumption_resolution__resolution,[status(thm)],[167835840,167827192,151886032]),
[] ).
fof(axiom_2,plain,
! [A,B] :
( ~ rprop(A,B)
| ca(B) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/KRS/KRS134+1.tptp',unknown),
[] ).
cnf(151895480,plain,
( ~ rprop(A,B)
| ca(B) ),
inference(rewrite,[status(thm)],[axiom_2]),
[] ).
cnf(167882800,plain,
~ rprop(A,y),
inference(resolution,[status(thm)],[167863736,151895480]),
[] ).
cnf(contradiction,plain,
$false,
inference(resolution,[status(thm)],[167894400,167882800]),
[] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% Proof found in: 0 seconds
% START OF PROOF SEQUENCE
% fof(the_axiom,plain,(((~xsd_integer(x_nn_1)|xsd_integer(x_nn_1)|cowlthing(x)|~cowlthing(x_nn_2)|cowlnothing(x_nn_2))&(~xsd_string(x_nn_1)|xsd_integer(x_nn_1)|cowlthing(x)|~cowlthing(x_nn_2)|cowlnothing(x_nn_2))&(~xsd_integer(x_nn_1)|xsd_string(x_nn_1)|cowlthing(x)|~cowlthing(x_nn_2)|cowlnothing(x_nn_2))&(~xsd_string(x_nn_1)|xsd_string(x_nn_1)|cowlthing(x)|~cowlthing(x_nn_2)|cowlnothing(x_nn_2))&(~xsd_integer(x_nn_1)|xsd_integer(x_nn_1)|rprop(x,y)|~cowlthing(x_nn_2)|cowlnothing(x_nn_2))&(~xsd_string(x_nn_1)|xsd_integer(x_nn_1)|rprop(x,y)|~cowlthing(x_nn_2)|cowlnothing(x_nn_2))&(~xsd_integer(x_nn_1)|xsd_string(x_nn_1)|rprop(x,y)|~cowlthing(x_nn_2)|cowlnothing(x_nn_2))&(~xsd_string(x_nn_1)|xsd_string(x_nn_1)|rprop(x,y)|~cowlthing(x_nn_2)|cowlnothing(x_nn_2))&(~xsd_integer(x_nn_1)|xsd_integer(x_nn_1)|~ca(y)|~cowlthing(x_nn_2)|cowlnothing(x_nn_2))&(~xsd_string(x_nn_1)|xsd_integer(x_nn_1)|~ca(y)|~cowlthing(x_nn_2)|cowlnothing(x_nn_2))&(~xsd_integer(x_nn_1)|xsd_string(x_nn_1)|~ca(y)|~cowlthing(x_nn_2)|cowlnothing(x_nn_2))&(~xsd_string(x_nn_1)|xsd_string(x_nn_1)|~ca(y)|~cowlthing(x_nn_2)|cowlnothing(x_nn_2)))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/KRS/KRS134+1.tptp',unknown),[]).
%
% 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/KRS134+1.tptp',unknown),[]).
%
% cnf(151879472,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/KRS134+1.tptp',unknown),[]).
%
% cnf(151872976,plain,(cowlthing(A)),inference(rewrite,[status(thm)],[axiom_0]),[]).
%
% cnf(152120496,plain,(xsd_string(x_nn_1)|rprop(x,y)|cowlnothing(x_nn_2)),inference(rewrite__forward_subsumption_resolution,[status(thm)],[the_axiom,151879472,151872976]),[]).
%
% cnf(152127024,plain,(xsd_integer(x_nn_1)|rprop(x,y)|cowlnothing(x_nn_2)),inference(rewrite__forward_subsumption_resolution,[status(thm)],[the_axiom,152120496,151872976]),[]).
%
% cnf(151863904,plain,(~cowlnothing(A)),inference(rewrite,[status(thm)],[axiom_0]),[]).
%
% cnf(167844952,plain,(xsd_integer(x_nn_1)|rprop(x,y)),inference(resolution,[status(thm)],[152127024,151863904]),[]).
%
% cnf(167840392,plain,(xsd_string(x_nn_1)|rprop(x,y)),inference(resolution,[status(thm)],[152120496,151863904]),[]).
%
% cnf(151886032,plain,(~xsd_string(A)|~xsd_integer(A)),inference(rewrite,[status(thm)],[axiom_1]),[]).
%
% cnf(167894400,plain,(rprop(x,y)),inference(forward_subsumption_resolution__resolution,[status(thm)],[167844952,167840392,151886032]),[]).
%
% cnf(152105608,plain,(xsd_string(x_nn_1)|~ca(y)|cowlnothing(x_nn_2)),inference(rewrite__forward_subsumption_resolution,[status(thm)],[the_axiom,151879472,151872976]),[]).
%
% cnf(152113992,plain,(xsd_integer(x_nn_1)|~ca(y)|cowlnothing(x_nn_2)),inference(rewrite__forward_subsumption_resolution,[status(thm)],[the_axiom,152105608,151872976]),[]).
%
% cnf(167835840,plain,(xsd_integer(x_nn_1)|~ca(y)),inference(resolution,[status(thm)],[152113992,151863904]),[]).
%
% cnf(167827192,plain,(xsd_string(x_nn_1)|~ca(y)),inference(resolution,[status(thm)],[152105608,151863904]),[]).
%
% cnf(167863736,plain,(~ca(y)),inference(forward_subsumption_resolution__resolution,[status(thm)],[167835840,167827192,151886032]),[]).
%
% fof(axiom_2,plain,(~rprop(A,B)|ca(B)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/KRS/KRS134+1.tptp',unknown),[]).
%
% cnf(151895480,plain,(~rprop(A,B)|ca(B)),inference(rewrite,[status(thm)],[axiom_2]),[]).
%
% cnf(167882800,plain,(~rprop(A,y)),inference(resolution,[status(thm)],[167863736,151895480]),[]).
%
% cnf(contradiction,plain,$false,inference(resolution,[status(thm)],[167894400,167882800]),[]).
%
% END OF PROOF SEQUENCE
% faust: ../JJParser/Signature.c:39: void FreeSignatureList(SymbolNodeType**): Assertion `(*Symbols)->NumberOfUses == 0' failed.
%
%------------------------------------------------------------------------------