%------------------------------------------------------------------------------
% File : SInE---0.4
% Problem : KRS136+1 : TPTP v5.0.0. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : Source/sine.py -e eprover -t %d %s
% Computer : art01.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 13:02:05 EST 2010
% Result : Theorem 0.19s
% Output : CNFRefutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 3
% Syntax : Number of formulae : 31 ( 8 unt; 0 def)
% Number of atoms : 91 ( 0 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 101 ( 41 ~; 40 |; 15 &)
% ( 5 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-1 aty)
% Number of functors : 2 ( 2 usr; 2 con; 0-0 aty)
% Number of variables : 21 ( 2 sgn 13 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(1,axiom,
! [X1] :
( cowlThing(X1)
& ~ cowlNothing(X1) ),
file('/tmp/tmplvGx3S/sel_KRS136+1.p_1',axiom_0) ).
fof(2,axiom,
! [X1] :
( xsd_string(X1)
<=> ~ xsd_integer(X1) ),
file('/tmp/tmplvGx3S/sel_KRS136+1.p_1',axiom_1) ).
fof(3,conjecture,
( ! [X1] :
( cowlThing(X1)
& ~ cowlNothing(X1) )
& ! [X1] :
( xsd_string(X1)
<=> ~ xsd_integer(X1) ) ),
file('/tmp/tmplvGx3S/sel_KRS136+1.p_1',the_axiom) ).
fof(4,negated_conjecture,
~ ( ! [X1] :
( cowlThing(X1)
& ~ cowlNothing(X1) )
& ! [X1] :
( xsd_string(X1)
<=> ~ xsd_integer(X1) ) ),
inference(assume_negation,[status(cth)],[3]) ).
fof(5,plain,
! [X1] :
( cowlThing(X1)
& ~ cowlNothing(X1) ),
inference(fof_simplification,[status(thm)],[1,theory(equality)]) ).
fof(6,plain,
! [X1] :
( xsd_string(X1)
<=> ~ xsd_integer(X1) ),
inference(fof_simplification,[status(thm)],[2,theory(equality)]) ).
fof(7,negated_conjecture,
~ ( ! [X1] :
( cowlThing(X1)
& ~ cowlNothing(X1) )
& ! [X1] :
( xsd_string(X1)
<=> ~ xsd_integer(X1) ) ),
inference(fof_simplification,[status(thm)],[4,theory(equality)]) ).
fof(8,plain,
! [X2] :
( cowlThing(X2)
& ~ cowlNothing(X2) ),
inference(variable_rename,[status(thm)],[5]) ).
cnf(9,plain,
~ cowlNothing(X1),
inference(split_conjunct,[status(thm)],[8]) ).
cnf(10,plain,
cowlThing(X1),
inference(split_conjunct,[status(thm)],[8]) ).
fof(11,plain,
! [X1] :
( ( ~ xsd_string(X1)
| ~ xsd_integer(X1) )
& ( xsd_integer(X1)
| xsd_string(X1) ) ),
inference(fof_nnf,[status(thm)],[6]) ).
fof(12,plain,
! [X2] :
( ( ~ xsd_string(X2)
| ~ xsd_integer(X2) )
& ( xsd_integer(X2)
| xsd_string(X2) ) ),
inference(variable_rename,[status(thm)],[11]) ).
cnf(13,plain,
( xsd_string(X1)
| xsd_integer(X1) ),
inference(split_conjunct,[status(thm)],[12]) ).
cnf(14,plain,
( ~ xsd_integer(X1)
| ~ xsd_string(X1) ),
inference(split_conjunct,[status(thm)],[12]) ).
fof(15,negated_conjecture,
( ? [X1] :
( ~ cowlThing(X1)
| cowlNothing(X1) )
| ? [X1] :
( ( ~ xsd_string(X1)
| xsd_integer(X1) )
& ( xsd_string(X1)
| ~ xsd_integer(X1) ) ) ),
inference(fof_nnf,[status(thm)],[7]) ).
fof(16,negated_conjecture,
( ? [X2] :
( ~ cowlThing(X2)
| cowlNothing(X2) )
| ? [X3] :
( ( ~ xsd_string(X3)
| xsd_integer(X3) )
& ( xsd_string(X3)
| ~ xsd_integer(X3) ) ) ),
inference(variable_rename,[status(thm)],[15]) ).
fof(17,negated_conjecture,
( ~ cowlThing(esk1_0)
| cowlNothing(esk1_0)
| ( ( ~ xsd_string(esk2_0)
| xsd_integer(esk2_0) )
& ( xsd_string(esk2_0)
| ~ xsd_integer(esk2_0) ) ) ),
inference(skolemize,[status(esa)],[16]) ).
fof(18,negated_conjecture,
( ( ~ xsd_string(esk2_0)
| xsd_integer(esk2_0)
| ~ cowlThing(esk1_0)
| cowlNothing(esk1_0) )
& ( xsd_string(esk2_0)
| ~ xsd_integer(esk2_0)
| ~ cowlThing(esk1_0)
| cowlNothing(esk1_0) ) ),
inference(distribute,[status(thm)],[17]) ).
cnf(19,negated_conjecture,
( cowlNothing(esk1_0)
| xsd_string(esk2_0)
| ~ cowlThing(esk1_0)
| ~ xsd_integer(esk2_0) ),
inference(split_conjunct,[status(thm)],[18]) ).
cnf(20,negated_conjecture,
( cowlNothing(esk1_0)
| xsd_integer(esk2_0)
| ~ cowlThing(esk1_0)
| ~ xsd_string(esk2_0) ),
inference(split_conjunct,[status(thm)],[18]) ).
cnf(21,negated_conjecture,
( cowlNothing(esk1_0)
| xsd_string(esk2_0)
| $false
| ~ xsd_integer(esk2_0) ),
inference(rw,[status(thm)],[19,10,theory(equality)]),
[unfolding] ).
cnf(22,negated_conjecture,
( cowlNothing(esk1_0)
| xsd_integer(esk2_0)
| $false
| ~ xsd_string(esk2_0) ),
inference(rw,[status(thm)],[20,10,theory(equality)]),
[unfolding] ).
cnf(24,negated_conjecture,
( xsd_string(esk2_0)
| ~ xsd_integer(esk2_0) ),
inference(sr,[status(thm)],[21,9,theory(equality)]) ).
cnf(25,negated_conjecture,
xsd_string(esk2_0),
inference(csr,[status(thm)],[24,13]) ).
cnf(26,negated_conjecture,
~ xsd_integer(esk2_0),
inference(spm,[status(thm)],[14,25,theory(equality)]) ).
cnf(27,negated_conjecture,
( cowlNothing(esk1_0)
| xsd_integer(esk2_0)
| $false ),
inference(rw,[status(thm)],[22,25,theory(equality)]) ).
cnf(28,negated_conjecture,
( cowlNothing(esk1_0)
| xsd_integer(esk2_0) ),
inference(cn,[status(thm)],[27,theory(equality)]) ).
cnf(29,negated_conjecture,
xsd_integer(esk2_0),
inference(sr,[status(thm)],[28,9,theory(equality)]) ).
cnf(30,negated_conjecture,
$false,
inference(rw,[status(thm)],[26,29,theory(equality)]) ).
cnf(31,negated_conjecture,
$false,
inference(cn,[status(thm)],[30,theory(equality)]) ).
cnf(32,negated_conjecture,
$false,
31,
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% % SZS status Started for /home/graph/tptp/TPTP/Problems/KRS/KRS136+1.p
% --creating new selector for []
% -running prover on /tmp/tmplvGx3S/sel_KRS136+1.p_1 with time limit 29
% -prover status Theorem
% Problem KRS136+1.p solved in phase 0.
% % SZS status Theorem for /home/graph/tptp/TPTP/Problems/KRS/KRS136+1.p
% % SZS status Ended for /home/graph/tptp/TPTP/Problems/KRS/KRS136+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
%
%------------------------------------------------------------------------------