%------------------------------------------------------------------------------
% File : Faust---1.0
% Problem : KRS163+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 13:30:25 EDT 2009
% Result : Theorem 0.1s
% Output : Refutation 0.1s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 6
% Syntax : Number of formulae : 20 ( 9 unt; 0 def)
% Number of atoms : 61 ( 0 equ)
% Maximal formula atoms : 28 ( 3 avg)
% Number of connectives : 67 ( 26 ~; 36 |; 5 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 8 ( 6 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 4 con; 0-0 aty)
% Number of variables : 8 ( 2 sgn 3 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Faust---1.0 format not known, defaulting to TPTP
fof(axiom_4,plain,
cb(ib),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/KRS/KRS163+1.tptp',unknown),
[] ).
cnf(163286736,plain,
cb(ib),
inference(rewrite,[status(thm)],[axiom_4]),
[] ).
fof(axiom_6,plain,
! [A] :
( ~ cb(A)
| ~ ca(A) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/KRS/KRS163+1.tptp',unknown),
[] ).
cnf(163293384,plain,
( ~ cb(A)
| ~ ca(A) ),
inference(rewrite,[status(thm)],[axiom_6]),
[] ).
fof(the_axiom,plain,
( ( ~ xsd_integer(x)
| xsd_integer(x)
| ~ cowlthing(ia)
| ~ cowlthing(ib)
| $equal(ib,ia)
| ~ cowlthing(x_nn_1)
| cowlnothing(x_nn_1) )
& ( ~ xsd_string(x)
| xsd_integer(x)
| ~ cowlthing(ia)
| ~ cowlthing(ib)
| $equal(ib,ia)
| ~ cowlthing(x_nn_1)
| cowlnothing(x_nn_1) )
& ( ~ xsd_integer(x)
| xsd_string(x)
| ~ cowlthing(ia)
| ~ cowlthing(ib)
| $equal(ib,ia)
| ~ cowlthing(x_nn_1)
| cowlnothing(x_nn_1) )
& ( ~ xsd_string(x)
| xsd_string(x)
| ~ cowlthing(ia)
| ~ cowlthing(ib)
| $equal(ib,ia)
| ~ cowlthing(x_nn_1)
| cowlnothing(x_nn_1) ) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/KRS/KRS163+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/KRS163+1.tptp',unknown),
[] ).
cnf(163266656,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/KRS163+1.tptp',unknown),
[] ).
cnf(163260264,plain,
cowlthing(A),
inference(rewrite,[status(thm)],[axiom_0]),
[] ).
cnf(163411240,plain,
( xsd_string(x)
| $equal(ib,ia)
| cowlnothing(x_nn_1) ),
inference(rewrite__forward_subsumption_resolution,[status(thm)],[the_axiom,163266656,163260264]),
[] ).
cnf(163423744,plain,
( xsd_integer(x)
| $equal(ib,ia)
| cowlnothing(x_nn_1) ),
inference(rewrite__forward_subsumption_resolution,[status(thm)],[the_axiom,163411240,163260264]),
[] ).
cnf(163247896,plain,
~ cowlnothing(A),
inference(rewrite,[status(thm)],[axiom_0]),
[] ).
cnf(173976440,plain,
( xsd_integer(x)
| $equal(ib,ia) ),
inference(resolution,[status(thm)],[163423744,163247896]),
[] ).
cnf(173962816,plain,
( xsd_string(x)
| $equal(ib,ia) ),
inference(resolution,[status(thm)],[163411240,163247896]),
[] ).
cnf(163185904,plain,
( ~ xsd_string(A)
| ~ xsd_integer(A) ),
inference(rewrite,[status(thm)],[axiom_1]),
[] ).
cnf(173998424,plain,
$equal(ib,ia),
inference(forward_subsumption_resolution__resolution,[status(thm)],[173976440,173962816,163185904]),
[] ).
fof(axiom_2,plain,
ca(ia),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/KRS/KRS163+1.tptp',unknown),
[] ).
cnf(163281776,plain,
ca(ia),
inference(rewrite,[status(thm)],[axiom_2]),
[] ).
cnf(174010136,plain,
ca(ib),
inference(paramodulation,[status(thm)],[173998424,163281776,theory(equality)]),
[] ).
cnf(contradiction,plain,
$false,
inference(forward_subsumption_resolution__resolution,[status(thm)],[163286736,163293384,174010136]),
[] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% Proof found in: 0 seconds
% START OF PROOF SEQUENCE
% fof(axiom_4,plain,(cb(ib)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/KRS/KRS163+1.tptp',unknown),[]).
%
% cnf(163286736,plain,(cb(ib)),inference(rewrite,[status(thm)],[axiom_4]),[]).
%
% fof(axiom_6,plain,(~cb(A)|~ca(A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/KRS/KRS163+1.tptp',unknown),[]).
%
% cnf(163293384,plain,(~cb(A)|~ca(A)),inference(rewrite,[status(thm)],[axiom_6]),[]).
%
% fof(the_axiom,plain,(((~xsd_integer(x)|xsd_integer(x)|~cowlthing(ia)|~cowlthing(ib)|$equal(ib,ia)|~cowlthing(x_nn_1)|cowlnothing(x_nn_1))&(~xsd_string(x)|xsd_integer(x)|~cowlthing(ia)|~cowlthing(ib)|$equal(ib,ia)|~cowlthing(x_nn_1)|cowlnothing(x_nn_1))&(~xsd_integer(x)|xsd_string(x)|~cowlthing(ia)|~cowlthing(ib)|$equal(ib,ia)|~cowlthing(x_nn_1)|cowlnothing(x_nn_1))&(~xsd_string(x)|xsd_string(x)|~cowlthing(ia)|~cowlthing(ib)|$equal(ib,ia)|~cowlthing(x_nn_1)|cowlnothing(x_nn_1)))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/KRS/KRS163+1.tptp',unknown),[]).
%
% fof(axiom_1,plain,(((~xsd_string(A)|~xsd_integer(A))&(xsd_string(A)|xsd_integer(A)))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/KRS/KRS163+1.tptp',unknown),[]).
%
% cnf(163266656,plain,(xsd_string(A)|xsd_integer(A)),inference(rewrite,[status(thm)],[axiom_1]),[]).
%
% fof(axiom_0,plain,((cowlthing(A)&~cowlnothing(A))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/KRS/KRS163+1.tptp',unknown),[]).
%
% cnf(163260264,plain,(cowlthing(A)),inference(rewrite,[status(thm)],[axiom_0]),[]).
%
% cnf(163411240,plain,(xsd_string(x)|$equal(ib,ia)|cowlnothing(x_nn_1)),inference(rewrite__forward_subsumption_resolution,[status(thm)],[the_axiom,163266656,163260264]),[]).
%
% cnf(163423744,plain,(xsd_integer(x)|$equal(ib,ia)|cowlnothing(x_nn_1)),inference(rewrite__forward_subsumption_resolution,[status(thm)],[the_axiom,163411240,163260264]),[]).
%
% cnf(163247896,plain,(~cowlnothing(A)),inference(rewrite,[status(thm)],[axiom_0]),[]).
%
% cnf(173976440,plain,(xsd_integer(x)|$equal(ib,ia)),inference(resolution,[status(thm)],[163423744,163247896]),[]).
%
% cnf(173962816,plain,(xsd_string(x)|$equal(ib,ia)),inference(resolution,[status(thm)],[163411240,163247896]),[]).
%
% cnf(163185904,plain,(~xsd_string(A)|~xsd_integer(A)),inference(rewrite,[status(thm)],[axiom_1]),[]).
%
% cnf(173998424,plain,($equal(ib,ia)),inference(forward_subsumption_resolution__resolution,[status(thm)],[173976440,173962816,163185904]),[]).
%
% fof(axiom_2,plain,(ca(ia)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/KRS/KRS163+1.tptp',unknown),[]).
%
% cnf(163281776,plain,(ca(ia)),inference(rewrite,[status(thm)],[axiom_2]),[]).
%
% cnf(174010136,plain,(ca(ib)),inference(paramodulation,[status(thm)],[173998424,163281776,theory(equality)]),[]).
%
% cnf(contradiction,plain,$false,inference(forward_subsumption_resolution__resolution,[status(thm)],[163286736,163293384,174010136]),[]).
%
% END OF PROOF SEQUENCE
% faust: ../JJParser/Signature.c:39: void FreeSignatureList(SymbolNodeType**): Assertion `(*Symbols)->NumberOfUses == 0' failed.
%
%------------------------------------------------------------------------------