TSTP Solution File: KRS165+1 by Faust---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Faust---1.0
% Problem : KRS165+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 13:30:31 EDT 2009
% Result : Theorem 0.1s
% Output : Refutation 0.1s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 4
% Syntax : Number of formulae : 38 ( 8 unt; 0 def)
% Number of atoms : 190 ( 0 equ)
% Maximal formula atoms : 96 ( 5 avg)
% Number of connectives : 227 ( 75 ~; 134 |; 18 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 22 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 7 ( 6 usr; 1 prp; 0-1 aty)
% Number of functors : 4 ( 4 usr; 4 con; 0-0 aty)
% Number of variables : 9 ( 2 sgn 3 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Faust---1.0 format not known, defaulting to TPTP
fof(the_axiom,plain,
( ( ~ cautomobile(x)
| ~ ccar(x_nn_1)
| ~ xsd_integer(x_nn_2)
| xsd_integer(x_nn_2)
| ~ cowlthing(x_nn_3)
| cowlnothing(x_nn_3) )
& ( ccar(x)
| ~ ccar(x_nn_1)
| ~ xsd_integer(x_nn_2)
| xsd_integer(x_nn_2)
| ~ cowlthing(x_nn_3)
| cowlnothing(x_nn_3) )
& ( ~ cautomobile(x)
| cautomobile(x_nn_1)
| ~ xsd_integer(x_nn_2)
| xsd_integer(x_nn_2)
| ~ cowlthing(x_nn_3)
| cowlnothing(x_nn_3) )
& ( ccar(x)
| cautomobile(x_nn_1)
| ~ xsd_integer(x_nn_2)
| xsd_integer(x_nn_2)
| ~ cowlthing(x_nn_3)
| cowlnothing(x_nn_3) )
& ( ~ cautomobile(x)
| ~ ccar(x_nn_1)
| ~ xsd_string(x_nn_2)
| xsd_integer(x_nn_2)
| ~ cowlthing(x_nn_3)
| cowlnothing(x_nn_3) )
& ( ccar(x)
| ~ ccar(x_nn_1)
| ~ xsd_string(x_nn_2)
| xsd_integer(x_nn_2)
| ~ cowlthing(x_nn_3)
| cowlnothing(x_nn_3) )
& ( ~ cautomobile(x)
| cautomobile(x_nn_1)
| ~ xsd_string(x_nn_2)
| xsd_integer(x_nn_2)
| ~ cowlthing(x_nn_3)
| cowlnothing(x_nn_3) )
& ( ccar(x)
| cautomobile(x_nn_1)
| ~ xsd_string(x_nn_2)
| xsd_integer(x_nn_2)
| ~ cowlthing(x_nn_3)
| cowlnothing(x_nn_3) )
& ( ~ cautomobile(x)
| ~ ccar(x_nn_1)
| ~ xsd_integer(x_nn_2)
| xsd_string(x_nn_2)
| ~ cowlthing(x_nn_3)
| cowlnothing(x_nn_3) )
& ( ccar(x)
| ~ ccar(x_nn_1)
| ~ xsd_integer(x_nn_2)
| xsd_string(x_nn_2)
| ~ cowlthing(x_nn_3)
| cowlnothing(x_nn_3) )
& ( ~ cautomobile(x)
| cautomobile(x_nn_1)
| ~ xsd_integer(x_nn_2)
| xsd_string(x_nn_2)
| ~ cowlthing(x_nn_3)
| cowlnothing(x_nn_3) )
& ( ccar(x)
| cautomobile(x_nn_1)
| ~ xsd_integer(x_nn_2)
| xsd_string(x_nn_2)
| ~ cowlthing(x_nn_3)
| cowlnothing(x_nn_3) )
& ( ~ cautomobile(x)
| ~ ccar(x_nn_1)
| ~ xsd_string(x_nn_2)
| xsd_string(x_nn_2)
| ~ cowlthing(x_nn_3)
| cowlnothing(x_nn_3) )
& ( ccar(x)
| ~ ccar(x_nn_1)
| ~ xsd_string(x_nn_2)
| xsd_string(x_nn_2)
| ~ cowlthing(x_nn_3)
| cowlnothing(x_nn_3) )
& ( ~ cautomobile(x)
| cautomobile(x_nn_1)
| ~ xsd_string(x_nn_2)
| xsd_string(x_nn_2)
| ~ cowlthing(x_nn_3)
| cowlnothing(x_nn_3) )
& ( ccar(x)
| cautomobile(x_nn_1)
| ~ xsd_string(x_nn_2)
| xsd_string(x_nn_2)
| ~ cowlthing(x_nn_3)
| cowlnothing(x_nn_3) ) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/KRS/KRS165+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/KRS165+1.tptp',unknown),
[] ).
cnf(173532456,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/KRS165+1.tptp',unknown),
[] ).
cnf(173525992,plain,
cowlthing(A),
inference(rewrite,[status(thm)],[axiom_0]),
[] ).
cnf(173840512,plain,
( ccar(x)
| ~ ccar(x_nn_1)
| xsd_string(x_nn_2)
| cowlnothing(x_nn_3) ),
inference(rewrite__forward_subsumption_resolution,[status(thm)],[the_axiom,173532456,173525992]),
[] ).
cnf(173876304,plain,
( ccar(x)
| ~ ccar(x_nn_1)
| xsd_integer(x_nn_2)
| cowlnothing(x_nn_3) ),
inference(rewrite__forward_subsumption_resolution,[status(thm)],[the_axiom,173840512,173525992]),
[] ).
cnf(173516920,plain,
~ cowlnothing(A),
inference(rewrite,[status(thm)],[axiom_0]),
[] ).
cnf(200149536,plain,
( ccar(x)
| ~ ccar(x_nn_1)
| xsd_integer(x_nn_2) ),
inference(resolution,[status(thm)],[173876304,173516920]),
[] ).
cnf(173832312,plain,
( ~ cautomobile(x)
| cautomobile(x_nn_1)
| xsd_string(x_nn_2)
| cowlnothing(x_nn_3) ),
inference(rewrite__forward_subsumption_resolution,[status(thm)],[the_axiom,173532456,173525992]),
[] ).
cnf(173869872,plain,
( ~ cautomobile(x)
| cautomobile(x_nn_1)
| xsd_integer(x_nn_2)
| cowlnothing(x_nn_3) ),
inference(rewrite__forward_subsumption_resolution,[status(thm)],[the_axiom,173832312,173525992]),
[] ).
cnf(200144968,plain,
( ~ cautomobile(x)
| cautomobile(x_nn_1)
| xsd_integer(x_nn_2) ),
inference(resolution,[status(thm)],[173869872,173516920]),
[] ).
cnf(173822288,plain,
( ccar(x)
| cautomobile(x_nn_1)
| xsd_string(x_nn_2)
| cowlnothing(x_nn_3) ),
inference(rewrite__forward_subsumption_resolution,[status(thm)],[the_axiom,173532456,173525992]),
[] ).
cnf(173859256,plain,
( ccar(x)
| cautomobile(x_nn_1)
| xsd_integer(x_nn_2)
| cowlnothing(x_nn_3) ),
inference(rewrite__forward_subsumption_resolution,[status(thm)],[the_axiom,173822288,173525992]),
[] ).
cnf(200127128,plain,
( ccar(x)
| cautomobile(x_nn_1)
| xsd_integer(x_nn_2) ),
inference(resolution,[status(thm)],[173859256,173516920]),
[] ).
cnf(200122632,plain,
( ccar(x)
| cautomobile(x_nn_1)
| xsd_string(x_nn_2) ),
inference(resolution,[status(thm)],[173822288,173516920]),
[] ).
cnf(173538984,plain,
( ~ xsd_string(A)
| ~ xsd_integer(A) ),
inference(rewrite,[status(thm)],[axiom_1]),
[] ).
cnf(200197080,plain,
( ccar(x)
| cautomobile(x_nn_1) ),
inference(forward_subsumption_resolution__resolution,[status(thm)],[200127128,200122632,173538984]),
[] ).
fof(axiom_2,plain,
! [A] :
( ( ~ ccar(A)
| cautomobile(A) )
& ( ccar(A)
| ~ cautomobile(A) ) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/KRS/KRS165+1.tptp',unknown),
[] ).
cnf(173551688,plain,
( ~ ccar(A)
| cautomobile(A) ),
inference(rewrite,[status(thm)],[axiom_2]),
[] ).
cnf(200207800,plain,
( cautomobile(x_nn_1)
| cautomobile(x) ),
inference(resolution,[status(thm)],[200197080,173551688]),
[] ).
cnf(200135736,plain,
( ~ cautomobile(x)
| cautomobile(x_nn_1)
| xsd_string(x_nn_2) ),
inference(resolution,[status(thm)],[173832312,173516920]),
[] ).
cnf(200245024,plain,
cautomobile(x_nn_1),
inference(forward_subsumption_resolution__resolution,[status(thm)],[200144968,200207800,200135736,173538984]),
[] ).
cnf(173545136,plain,
( ccar(A)
| ~ cautomobile(A) ),
inference(rewrite,[status(thm)],[axiom_2]),
[] ).
cnf(200251992,plain,
ccar(x_nn_1),
inference(resolution,[status(thm)],[200245024,173545136]),
[] ).
cnf(200313408,plain,
( ccar(x)
| xsd_integer(x_nn_2) ),
inference(resolution,[status(thm)],[200149536,200251992]),
[] ).
cnf(200320200,plain,
( xsd_integer(x_nn_2)
| cautomobile(x) ),
inference(resolution,[status(thm)],[200313408,173551688]),
[] ).
cnf(173852984,plain,
( ~ cautomobile(x)
| ~ ccar(x_nn_1)
| xsd_string(x_nn_2)
| cowlnothing(x_nn_3) ),
inference(rewrite__forward_subsumption_resolution,[status(thm)],[the_axiom,173532456,173525992]),
[] ).
cnf(173882840,plain,
( ~ cautomobile(x)
| ~ ccar(x_nn_1)
| xsd_integer(x_nn_2)
| cowlnothing(x_nn_3) ),
inference(rewrite__forward_subsumption_resolution,[status(thm)],[the_axiom,173852984,173525992]),
[] ).
cnf(200158640,plain,
( ~ cautomobile(x)
| ~ ccar(x_nn_1)
| xsd_integer(x_nn_2) ),
inference(resolution,[status(thm)],[173882840,173516920]),
[] ).
cnf(200361880,plain,
xsd_integer(x_nn_2),
inference(forward_subsumption_resolution__resolution,[status(thm)],[200320200,200158640,200251992]),
[] ).
cnf(200140368,plain,
( ccar(x)
| ~ ccar(x_nn_1)
| xsd_string(x_nn_2) ),
inference(resolution,[status(thm)],[173840512,173516920]),
[] ).
cnf(200262280,plain,
( ccar(x)
| xsd_string(x_nn_2) ),
inference(resolution,[status(thm)],[200140368,200251992]),
[] ).
cnf(200267304,plain,
( xsd_string(x_nn_2)
| cautomobile(x) ),
inference(resolution,[status(thm)],[200262280,173551688]),
[] ).
cnf(200154128,plain,
( ~ cautomobile(x)
| ~ ccar(x_nn_1)
| xsd_string(x_nn_2) ),
inference(resolution,[status(thm)],[173852984,173516920]),
[] ).
cnf(200347064,plain,
xsd_string(x_nn_2),
inference(forward_subsumption_resolution__resolution,[status(thm)],[200267304,200154128,200251992]),
[] ).
cnf(200352288,plain,
~ xsd_integer(x_nn_2),
inference(resolution,[status(thm)],[200347064,173538984]),
[] ).
cnf(contradiction,plain,
$false,
inference(resolution,[status(thm)],[200361880,200352288]),
[] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% Proof found in: 0 seconds
% START OF PROOF SEQUENCE
% fof(the_axiom,plain,(((~cautomobile(x)|~ccar(x_nn_1)|~xsd_integer(x_nn_2)|xsd_integer(x_nn_2)|~cowlthing(x_nn_3)|cowlnothing(x_nn_3))&(ccar(x)|~ccar(x_nn_1)|~xsd_integer(x_nn_2)|xsd_integer(x_nn_2)|~cowlthing(x_nn_3)|cowlnothing(x_nn_3))&(~cautomobile(x)|cautomobile(x_nn_1)|~xsd_integer(x_nn_2)|xsd_integer(x_nn_2)|~cowlthing(x_nn_3)|cowlnothing(x_nn_3))&(ccar(x)|cautomobile(x_nn_1)|~xsd_integer(x_nn_2)|xsd_integer(x_nn_2)|~cowlthing(x_nn_3)|cowlnothing(x_nn_3))&(~cautomobile(x)|~ccar(x_nn_1)|~xsd_string(x_nn_2)|xsd_integer(x_nn_2)|~cowlthing(x_nn_3)|cowlnothing(x_nn_3))&(ccar(x)|~ccar(x_nn_1)|~xsd_string(x_nn_2)|xsd_integer(x_nn_2)|~cowlthing(x_nn_3)|cowlnothing(x_nn_3))&(~cautomobile(x)|cautomobile(x_nn_1)|~xsd_string(x_nn_2)|xsd_integer(x_nn_2)|~cowlthing(x_nn_3)|cowlnothing(x_nn_3))&(ccar(x)|cautomobile(x_nn_1)|~xsd_string(x_nn_2)|xsd_integer(x_nn_2)|~cowlthing(x_nn_3)|cowlnothing(x_nn_3))&(~cautomobile(x)|~ccar(x_nn_1)|~xsd_integer(x_nn_2)|xsd_string(x_nn_2)|~cowlthing(x_nn_3)|cowlnothing(x_nn_3))&(ccar(x)|~ccar(x_nn_1)|~xsd_integer(x_nn_2)|xsd_string(x_nn_2)|~cowlthing(x_nn_3)|cowlnothing(x_nn_3))&(~cautomobile(x)|cautomobile(x_nn_1)|~xsd_integer(x_nn_2)|xsd_string(x_nn_2)|~cowlthing(x_nn_3)|cowlnothing(x_nn_3))&(ccar(x)|cautomobile(x_nn_1)|~xsd_integer(x_nn_2)|xsd_string(x_nn_2)|~cowlthing(x_nn_3)|cowlnothing(x_nn_3))&(~cautomobile(x)|~ccar(x_nn_1)|~xsd_string(x_nn_2)|xsd_string(x_nn_2)|~cowlthing(x_nn_3)|cowlnothing(x_nn_3))&(ccar(x)|~ccar(x_nn_1)|~xsd_string(x_nn_2)|xsd_string(x_nn_2)|~cowlthing(x_nn_3)|cowlnothing(x_nn_3))&(~cautomobile(x)|cautomobile(x_nn_1)|~xsd_string(x_nn_2)|xsd_string(x_nn_2)|~cowlthing(x_nn_3)|cowlnothing(x_nn_3))&(ccar(x)|cautomobile(x_nn_1)|~xsd_string(x_nn_2)|xsd_string(x_nn_2)|~cowlthing(x_nn_3)|cowlnothing(x_nn_3)))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/KRS/KRS165+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/KRS165+1.tptp',unknown),[]).
%
% cnf(173532456,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/KRS165+1.tptp',unknown),[]).
%
% cnf(173525992,plain,(cowlthing(A)),inference(rewrite,[status(thm)],[axiom_0]),[]).
%
% cnf(173840512,plain,(ccar(x)|~ccar(x_nn_1)|xsd_string(x_nn_2)|cowlnothing(x_nn_3)),inference(rewrite__forward_subsumption_resolution,[status(thm)],[the_axiom,173532456,173525992]),[]).
%
% cnf(173876304,plain,(ccar(x)|~ccar(x_nn_1)|xsd_integer(x_nn_2)|cowlnothing(x_nn_3)),inference(rewrite__forward_subsumption_resolution,[status(thm)],[the_axiom,173840512,173525992]),[]).
%
% cnf(173516920,plain,(~cowlnothing(A)),inference(rewrite,[status(thm)],[axiom_0]),[]).
%
% cnf(200149536,plain,(ccar(x)|~ccar(x_nn_1)|xsd_integer(x_nn_2)),inference(resolution,[status(thm)],[173876304,173516920]),[]).
%
% cnf(173832312,plain,(~cautomobile(x)|cautomobile(x_nn_1)|xsd_string(x_nn_2)|cowlnothing(x_nn_3)),inference(rewrite__forward_subsumption_resolution,[status(thm)],[the_axiom,173532456,173525992]),[]).
%
% cnf(173869872,plain,(~cautomobile(x)|cautomobile(x_nn_1)|xsd_integer(x_nn_2)|cowlnothing(x_nn_3)),inference(rewrite__forward_subsumption_resolution,[status(thm)],[the_axiom,173832312,173525992]),[]).
%
% cnf(200144968,plain,(~cautomobile(x)|cautomobile(x_nn_1)|xsd_integer(x_nn_2)),inference(resolution,[status(thm)],[173869872,173516920]),[]).
%
% cnf(173822288,plain,(ccar(x)|cautomobile(x_nn_1)|xsd_string(x_nn_2)|cowlnothing(x_nn_3)),inference(rewrite__forward_subsumption_resolution,[status(thm)],[the_axiom,173532456,173525992]),[]).
%
% cnf(173859256,plain,(ccar(x)|cautomobile(x_nn_1)|xsd_integer(x_nn_2)|cowlnothing(x_nn_3)),inference(rewrite__forward_subsumption_resolution,[status(thm)],[the_axiom,173822288,173525992]),[]).
%
% cnf(200127128,plain,(ccar(x)|cautomobile(x_nn_1)|xsd_integer(x_nn_2)),inference(resolution,[status(thm)],[173859256,173516920]),[]).
%
% cnf(200122632,plain,(ccar(x)|cautomobile(x_nn_1)|xsd_string(x_nn_2)),inference(resolution,[status(thm)],[173822288,173516920]),[]).
%
% cnf(173538984,plain,(~xsd_string(A)|~xsd_integer(A)),inference(rewrite,[status(thm)],[axiom_1]),[]).
%
% cnf(200197080,plain,(ccar(x)|cautomobile(x_nn_1)),inference(forward_subsumption_resolution__resolution,[status(thm)],[200127128,200122632,173538984]),[]).
%
% fof(axiom_2,plain,(((~ccar(A)|cautomobile(A))&(ccar(A)|~cautomobile(A)))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/KRS/KRS165+1.tptp',unknown),[]).
%
% cnf(173551688,plain,(~ccar(A)|cautomobile(A)),inference(rewrite,[status(thm)],[axiom_2]),[]).
%
% cnf(200207800,plain,(cautomobile(x_nn_1)|cautomobile(x)),inference(resolution,[status(thm)],[200197080,173551688]),[]).
%
% cnf(200135736,plain,(~cautomobile(x)|cautomobile(x_nn_1)|xsd_string(x_nn_2)),inference(resolution,[status(thm)],[173832312,173516920]),[]).
%
% cnf(200245024,plain,(cautomobile(x_nn_1)),inference(forward_subsumption_resolution__resolution,[status(thm)],[200144968,200207800,200135736,173538984]),[]).
%
% cnf(173545136,plain,(ccar(A)|~cautomobile(A)),inference(rewrite,[status(thm)],[axiom_2]),[]).
%
% cnf(200251992,plain,(ccar(x_nn_1)),inference(resolution,[status(thm)],[200245024,173545136]),[]).
%
% cnf(200313408,plain,(ccar(x)|xsd_integer(x_nn_2)),inference(resolution,[status(thm)],[200149536,200251992]),[]).
%
% cnf(200320200,plain,(xsd_integer(x_nn_2)|cautomobile(x)),inference(resolution,[status(thm)],[200313408,173551688]),[]).
%
% cnf(173852984,plain,(~cautomobile(x)|~ccar(x_nn_1)|xsd_string(x_nn_2)|cowlnothing(x_nn_3)),inference(rewrite__forward_subsumption_resolution,[status(thm)],[the_axiom,173532456,173525992]),[]).
%
% cnf(173882840,plain,(~cautomobile(x)|~ccar(x_nn_1)|xsd_integer(x_nn_2)|cowlnothing(x_nn_3)),inference(rewrite__forward_subsumption_resolution,[status(thm)],[the_axiom,173852984,173525992]),[]).
%
% cnf(200158640,plain,(~cautomobile(x)|~ccar(x_nn_1)|xsd_integer(x_nn_2)),inference(resolution,[status(thm)],[173882840,173516920]),[]).
%
% cnf(200361880,plain,(xsd_integer(x_nn_2)),inference(forward_subsumption_resolution__resolution,[status(thm)],[200320200,200158640,200251992]),[]).
%
% cnf(200140368,plain,(ccar(x)|~ccar(x_nn_1)|xsd_string(x_nn_2)),inference(resolution,[status(thm)],[173840512,173516920]),[]).
%
% cnf(200262280,plain,(ccar(x)|xsd_string(x_nn_2)),inference(resolution,[status(thm)],[200140368,200251992]),[]).
%
% cnf(200267304,plain,(xsd_string(x_nn_2)|cautomobile(x)),inference(resolution,[status(thm)],[200262280,173551688]),[]).
%
% cnf(200154128,plain,(~cautomobile(x)|~ccar(x_nn_1)|xsd_string(x_nn_2)),inference(resolution,[status(thm)],[173852984,173516920]),[]).
%
% cnf(200347064,plain,(xsd_string(x_nn_2)),inference(forward_subsumption_resolution__resolution,[status(thm)],[200267304,200154128,200251992]),[]).
%
% cnf(200352288,plain,(~xsd_integer(x_nn_2)),inference(resolution,[status(thm)],[200347064,173538984]),[]).
%
% cnf(contradiction,plain,$false,inference(resolution,[status(thm)],[200361880,200352288]),[]).
%
% END OF PROOF SEQUENCE
% faust: ../JJParser/Signature.c:39: void FreeSignatureList(SymbolNodeType**): Assertion `(*Symbols)->NumberOfUses == 0' failed.
%
%------------------------------------------------------------------------------