TSTP Solution File: KRS148+1 by SInE---0.4
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SInE---0.4
% Problem : KRS148+1 : TPTP v5.0.0. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : Source/sine.py -e eprover -t %d %s
% Computer : art07.cs.miami.edu
% Model : i686 i686
% CPU : Intel(R) Pentium(R) 4 CPU 2.80GHz @ 2793MHz
% Memory : 2018MB
% OS : Linux 2.6.26.8-57.fc8
% CPULimit : 300s
% DateTime : Sat Dec 25 13:02:55 EST 2010
% Result : Theorem 0.37s
% Output : CNFRefutation 0.37s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 6
% Syntax : Number of formulae : 55 ( 12 unt; 0 def)
% Number of atoms : 224 ( 0 equ)
% Maximal formula atoms : 16 ( 4 avg)
% Number of connectives : 288 ( 119 ~; 121 |; 41 &)
% ( 7 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 10 ( 9 usr; 1 prp; 0-1 aty)
% Number of functors : 3 ( 3 usr; 3 con; 0-0 aty)
% Number of variables : 32 ( 2 sgn 21 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(7,axiom,
cTEST(iV5475),
file('/tmp/tmpw1ZqEc/sel_KRS148+1.p_1',axiom_72) ).
fof(10,axiom,
! [X1] :
( cTEST(X1)
<=> ( cC140(X1)
& cC116(X1) ) ),
file('/tmp/tmpw1ZqEc/sel_KRS148+1.p_1',axiom_71) ).
fof(33,axiom,
! [X1] :
( cowlThing(X1)
& ~ cowlNothing(X1) ),
file('/tmp/tmpw1ZqEc/sel_KRS148+1.p_1',axiom_0) ).
fof(34,axiom,
! [X1] :
( xsd_string(X1)
<=> ~ xsd_integer(X1) ),
file('/tmp/tmpw1ZqEc/sel_KRS148+1.p_1',axiom_1) ).
fof(50,conjecture,
( ! [X1] :
( cowlThing(X1)
& ~ cowlNothing(X1) )
& ! [X1] :
( xsd_string(X1)
<=> ~ xsd_integer(X1) )
& cC138(iV5475)
& cowlThing(iV5475)
& cC116(iV5475)
& cC140(iV5475) ),
file('/tmp/tmpw1ZqEc/sel_KRS148+1.p_1',the_axiom) ).
fof(73,axiom,
! [X1] :
( cC140(X1)
<=> ( cTOP(X1)
& cC138(X1) ) ),
file('/tmp/tmpw1ZqEc/sel_KRS148+1.p_1',axiom_25) ).
fof(91,negated_conjecture,
~ ( ! [X1] :
( cowlThing(X1)
& ~ cowlNothing(X1) )
& ! [X1] :
( xsd_string(X1)
<=> ~ xsd_integer(X1) )
& cC138(iV5475)
& cowlThing(iV5475)
& cC116(iV5475)
& cC140(iV5475) ),
inference(assume_negation,[status(cth)],[50]) ).
fof(107,plain,
! [X1] :
( cowlThing(X1)
& ~ cowlNothing(X1) ),
inference(fof_simplification,[status(thm)],[33,theory(equality)]) ).
fof(108,plain,
! [X1] :
( xsd_string(X1)
<=> ~ xsd_integer(X1) ),
inference(fof_simplification,[status(thm)],[34,theory(equality)]) ).
fof(119,negated_conjecture,
~ ( ! [X1] :
( cowlThing(X1)
& ~ cowlNothing(X1) )
& ! [X1] :
( xsd_string(X1)
<=> ~ xsd_integer(X1) )
& cC138(iV5475)
& cowlThing(iV5475)
& cC116(iV5475)
& cC140(iV5475) ),
inference(fof_simplification,[status(thm)],[91,theory(equality)]) ).
cnf(148,plain,
cTEST(iV5475),
inference(split_conjunct,[status(thm)],[7]) ).
fof(156,plain,
! [X1] :
( ( ~ cTEST(X1)
| ( cC140(X1)
& cC116(X1) ) )
& ( ~ cC140(X1)
| ~ cC116(X1)
| cTEST(X1) ) ),
inference(fof_nnf,[status(thm)],[10]) ).
fof(157,plain,
! [X2] :
( ( ~ cTEST(X2)
| ( cC140(X2)
& cC116(X2) ) )
& ( ~ cC140(X2)
| ~ cC116(X2)
| cTEST(X2) ) ),
inference(variable_rename,[status(thm)],[156]) ).
fof(158,plain,
! [X2] :
( ( cC140(X2)
| ~ cTEST(X2) )
& ( cC116(X2)
| ~ cTEST(X2) )
& ( ~ cC140(X2)
| ~ cC116(X2)
| cTEST(X2) ) ),
inference(distribute,[status(thm)],[157]) ).
cnf(160,plain,
( cC116(X1)
| ~ cTEST(X1) ),
inference(split_conjunct,[status(thm)],[158]) ).
cnf(161,plain,
( cC140(X1)
| ~ cTEST(X1) ),
inference(split_conjunct,[status(thm)],[158]) ).
fof(320,plain,
! [X2] :
( cowlThing(X2)
& ~ cowlNothing(X2) ),
inference(variable_rename,[status(thm)],[107]) ).
cnf(321,plain,
~ cowlNothing(X1),
inference(split_conjunct,[status(thm)],[320]) ).
cnf(322,plain,
cowlThing(X1),
inference(split_conjunct,[status(thm)],[320]) ).
fof(323,plain,
! [X1] :
( ( ~ xsd_string(X1)
| ~ xsd_integer(X1) )
& ( xsd_integer(X1)
| xsd_string(X1) ) ),
inference(fof_nnf,[status(thm)],[108]) ).
fof(324,plain,
! [X2] :
( ( ~ xsd_string(X2)
| ~ xsd_integer(X2) )
& ( xsd_integer(X2)
| xsd_string(X2) ) ),
inference(variable_rename,[status(thm)],[323]) ).
cnf(325,plain,
( xsd_string(X1)
| xsd_integer(X1) ),
inference(split_conjunct,[status(thm)],[324]) ).
cnf(326,plain,
( ~ xsd_integer(X1)
| ~ xsd_string(X1) ),
inference(split_conjunct,[status(thm)],[324]) ).
fof(384,negated_conjecture,
( ? [X1] :
( ~ cowlThing(X1)
| cowlNothing(X1) )
| ? [X1] :
( ( ~ xsd_string(X1)
| xsd_integer(X1) )
& ( xsd_string(X1)
| ~ xsd_integer(X1) ) )
| ~ cC138(iV5475)
| ~ cowlThing(iV5475)
| ~ cC116(iV5475)
| ~ cC140(iV5475) ),
inference(fof_nnf,[status(thm)],[119]) ).
fof(385,negated_conjecture,
( ? [X2] :
( ~ cowlThing(X2)
| cowlNothing(X2) )
| ? [X3] :
( ( ~ xsd_string(X3)
| xsd_integer(X3) )
& ( xsd_string(X3)
| ~ xsd_integer(X3) ) )
| ~ cC138(iV5475)
| ~ cowlThing(iV5475)
| ~ cC116(iV5475)
| ~ cC140(iV5475) ),
inference(variable_rename,[status(thm)],[384]) ).
fof(386,negated_conjecture,
( ~ cowlThing(esk17_0)
| cowlNothing(esk17_0)
| ( ( ~ xsd_string(esk18_0)
| xsd_integer(esk18_0) )
& ( xsd_string(esk18_0)
| ~ xsd_integer(esk18_0) ) )
| ~ cC138(iV5475)
| ~ cowlThing(iV5475)
| ~ cC116(iV5475)
| ~ cC140(iV5475) ),
inference(skolemize,[status(esa)],[385]) ).
fof(387,negated_conjecture,
( ( ~ xsd_string(esk18_0)
| xsd_integer(esk18_0)
| ~ cowlThing(esk17_0)
| cowlNothing(esk17_0)
| ~ cC138(iV5475)
| ~ cowlThing(iV5475)
| ~ cC116(iV5475)
| ~ cC140(iV5475) )
& ( xsd_string(esk18_0)
| ~ xsd_integer(esk18_0)
| ~ cowlThing(esk17_0)
| cowlNothing(esk17_0)
| ~ cC138(iV5475)
| ~ cowlThing(iV5475)
| ~ cC116(iV5475)
| ~ cC140(iV5475) ) ),
inference(distribute,[status(thm)],[386]) ).
cnf(388,negated_conjecture,
( cowlNothing(esk17_0)
| xsd_string(esk18_0)
| ~ cC140(iV5475)
| ~ cC116(iV5475)
| ~ cowlThing(iV5475)
| ~ cC138(iV5475)
| ~ cowlThing(esk17_0)
| ~ xsd_integer(esk18_0) ),
inference(split_conjunct,[status(thm)],[387]) ).
cnf(389,negated_conjecture,
( cowlNothing(esk17_0)
| xsd_integer(esk18_0)
| ~ cC140(iV5475)
| ~ cC116(iV5475)
| ~ cowlThing(iV5475)
| ~ cC138(iV5475)
| ~ cowlThing(esk17_0)
| ~ xsd_string(esk18_0) ),
inference(split_conjunct,[status(thm)],[387]) ).
fof(546,plain,
! [X1] :
( ( ~ cC140(X1)
| ( cTOP(X1)
& cC138(X1) ) )
& ( ~ cTOP(X1)
| ~ cC138(X1)
| cC140(X1) ) ),
inference(fof_nnf,[status(thm)],[73]) ).
fof(547,plain,
! [X2] :
( ( ~ cC140(X2)
| ( cTOP(X2)
& cC138(X2) ) )
& ( ~ cTOP(X2)
| ~ cC138(X2)
| cC140(X2) ) ),
inference(variable_rename,[status(thm)],[546]) ).
fof(548,plain,
! [X2] :
( ( cTOP(X2)
| ~ cC140(X2) )
& ( cC138(X2)
| ~ cC140(X2) )
& ( ~ cTOP(X2)
| ~ cC138(X2)
| cC140(X2) ) ),
inference(distribute,[status(thm)],[547]) ).
cnf(550,plain,
( cC138(X1)
| ~ cC140(X1) ),
inference(split_conjunct,[status(thm)],[548]) ).
cnf(677,negated_conjecture,
( cowlNothing(esk17_0)
| xsd_string(esk18_0)
| $false
| $false
| ~ cC140(iV5475)
| ~ cC116(iV5475)
| ~ xsd_integer(esk18_0)
| ~ cC138(iV5475) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[388,322,theory(equality)]),322,theory(equality)]),
[unfolding] ).
cnf(678,negated_conjecture,
( cowlNothing(esk17_0)
| xsd_integer(esk18_0)
| $false
| $false
| ~ cC140(iV5475)
| ~ cC116(iV5475)
| ~ xsd_string(esk18_0)
| ~ cC138(iV5475) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[389,322,theory(equality)]),322,theory(equality)]),
[unfolding] ).
cnf(680,negated_conjecture,
( xsd_string(esk18_0)
| ~ cC140(iV5475)
| ~ cC116(iV5475)
| ~ xsd_integer(esk18_0)
| ~ cC138(iV5475) ),
inference(sr,[status(thm)],[677,321,theory(equality)]) ).
cnf(681,negated_conjecture,
( xsd_string(esk18_0)
| ~ xsd_integer(esk18_0)
| ~ cC116(iV5475)
| ~ cC140(iV5475) ),
inference(csr,[status(thm)],[680,550]) ).
cnf(682,negated_conjecture,
( xsd_string(esk18_0)
| ~ cC116(iV5475)
| ~ cC140(iV5475) ),
inference(csr,[status(thm)],[681,325]) ).
cnf(683,negated_conjecture,
( xsd_integer(esk18_0)
| ~ cC140(iV5475)
| ~ cC116(iV5475)
| ~ xsd_string(esk18_0)
| ~ cC138(iV5475) ),
inference(sr,[status(thm)],[678,321,theory(equality)]) ).
cnf(684,negated_conjecture,
( xsd_integer(esk18_0)
| ~ xsd_string(esk18_0)
| ~ cC116(iV5475)
| ~ cC140(iV5475) ),
inference(csr,[status(thm)],[683,550]) ).
cnf(685,negated_conjecture,
( xsd_integer(esk18_0)
| ~ cC116(iV5475)
| ~ cC140(iV5475) ),
inference(csr,[status(thm)],[684,325]) ).
cnf(687,plain,
cC140(iV5475),
inference(spm,[status(thm)],[161,148,theory(equality)]) ).
cnf(688,plain,
cC116(iV5475),
inference(spm,[status(thm)],[160,148,theory(equality)]) ).
cnf(2253,negated_conjecture,
( xsd_integer(esk18_0)
| ~ cC116(iV5475)
| $false ),
inference(rw,[status(thm)],[685,687,theory(equality)]) ).
cnf(2254,negated_conjecture,
( xsd_integer(esk18_0)
| ~ cC116(iV5475) ),
inference(cn,[status(thm)],[2253,theory(equality)]) ).
cnf(2255,negated_conjecture,
( xsd_string(esk18_0)
| ~ cC116(iV5475)
| $false ),
inference(rw,[status(thm)],[682,687,theory(equality)]) ).
cnf(2256,negated_conjecture,
( xsd_string(esk18_0)
| ~ cC116(iV5475) ),
inference(cn,[status(thm)],[2255,theory(equality)]) ).
cnf(2258,negated_conjecture,
( xsd_integer(esk18_0)
| $false ),
inference(rw,[status(thm)],[2254,688,theory(equality)]) ).
cnf(2259,negated_conjecture,
xsd_integer(esk18_0),
inference(cn,[status(thm)],[2258,theory(equality)]) ).
cnf(2260,negated_conjecture,
~ xsd_string(esk18_0),
inference(spm,[status(thm)],[326,2259,theory(equality)]) ).
cnf(2261,negated_conjecture,
( xsd_string(esk18_0)
| $false ),
inference(rw,[status(thm)],[2256,688,theory(equality)]) ).
cnf(2262,negated_conjecture,
xsd_string(esk18_0),
inference(cn,[status(thm)],[2261,theory(equality)]) ).
cnf(2263,negated_conjecture,
$false,
inference(rw,[status(thm)],[2260,2262,theory(equality)]) ).
cnf(2264,negated_conjecture,
$false,
inference(cn,[status(thm)],[2263,theory(equality)]) ).
cnf(2265,negated_conjecture,
$false,
2264,
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% % SZS status Started for /home/graph/tptp/TPTP/Problems/KRS/KRS148+1.p
% --creating new selector for []
% -running prover on /tmp/tmpw1ZqEc/sel_KRS148+1.p_1 with time limit 29
% -prover status Theorem
% Problem KRS148+1.p solved in phase 0.
% % SZS status Theorem for /home/graph/tptp/TPTP/Problems/KRS/KRS148+1.p
% % SZS status Ended for /home/graph/tptp/TPTP/Problems/KRS/KRS148+1.p
% Solved 1 out of 1.
% # Problem is unsatisfiable (or provable), constructing proof object
% # SZS status Theorem
% # SZS output start CNFRefutation.
% See solution above
% # SZS output end CNFRefutation
%
%------------------------------------------------------------------------------