%------------------------------------------------------------------------------
% File : SInE---0.4
% Problem : KRS130+1 : TPTP v5.0.0. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : Source/sine.py -e eprover -t %d %s
% Computer : art05.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 13:01:37 EST 2010
% Result : Theorem 0.21s
% Output : CNFRefutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 5
% Syntax : Number of formulae : 45 ( 9 unt; 0 def)
% Number of atoms : 165 ( 0 equ)
% Maximal formula atoms : 24 ( 3 avg)
% Number of connectives : 192 ( 72 ~; 87 |; 23 &)
% ( 8 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 7 ( 6 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 3 con; 0-1 aty)
% Number of variables : 45 ( 4 sgn 27 !; 10 ?)
% Comments :
%------------------------------------------------------------------------------
fof(1,axiom,
! [X1] :
( cNothing(X1)
=> ~ ? [X2] : rp(X1,X2) ),
file('/tmp/tmpz2k1D2/sel_KRS130+1.p_1',axiom_2) ).
fof(2,axiom,
! [X1] :
( cNothing(X1)
=> ? [X3] : rp(X1,X3) ),
file('/tmp/tmpz2k1D2/sel_KRS130+1.p_1',axiom_3) ).
fof(3,axiom,
! [X1] :
( cowlThing(X1)
& ~ cowlNothing(X1) ),
file('/tmp/tmpz2k1D2/sel_KRS130+1.p_1',axiom_0) ).
fof(4,axiom,
! [X1] :
( xsd_string(X1)
<=> ~ xsd_integer(X1) ),
file('/tmp/tmpz2k1D2/sel_KRS130+1.p_1',axiom_1) ).
fof(5,conjecture,
( ! [X1] :
( cowlThing(X1)
& ~ cowlNothing(X1) )
& ! [X1] :
( xsd_string(X1)
<=> ~ xsd_integer(X1) )
& ! [X1] :
( cNothing(X1)
<=> cowlNothing(X1) ) ),
file('/tmp/tmpz2k1D2/sel_KRS130+1.p_1',the_axiom) ).
fof(6,negated_conjecture,
~ ( ! [X1] :
( cowlThing(X1)
& ~ cowlNothing(X1) )
& ! [X1] :
( xsd_string(X1)
<=> ~ xsd_integer(X1) )
& ! [X1] :
( cNothing(X1)
<=> cowlNothing(X1) ) ),
inference(assume_negation,[status(cth)],[5]) ).
fof(7,plain,
! [X1] :
( cowlThing(X1)
& ~ cowlNothing(X1) ),
inference(fof_simplification,[status(thm)],[3,theory(equality)]) ).
fof(8,plain,
! [X1] :
( xsd_string(X1)
<=> ~ xsd_integer(X1) ),
inference(fof_simplification,[status(thm)],[4,theory(equality)]) ).
fof(9,negated_conjecture,
~ ( ! [X1] :
( cowlThing(X1)
& ~ cowlNothing(X1) )
& ! [X1] :
( xsd_string(X1)
<=> ~ xsd_integer(X1) )
& ! [X1] :
( cNothing(X1)
<=> cowlNothing(X1) ) ),
inference(fof_simplification,[status(thm)],[6,theory(equality)]) ).
fof(10,plain,
! [X1] :
( ~ cNothing(X1)
| ! [X2] : ~ rp(X1,X2) ),
inference(fof_nnf,[status(thm)],[1]) ).
fof(11,plain,
! [X3] :
( ~ cNothing(X3)
| ! [X4] : ~ rp(X3,X4) ),
inference(variable_rename,[status(thm)],[10]) ).
fof(12,plain,
! [X3,X4] :
( ~ rp(X3,X4)
| ~ cNothing(X3) ),
inference(shift_quantors,[status(thm)],[11]) ).
cnf(13,plain,
( ~ cNothing(X1)
| ~ rp(X1,X2) ),
inference(split_conjunct,[status(thm)],[12]) ).
fof(14,plain,
! [X1] :
( ~ cNothing(X1)
| ? [X3] : rp(X1,X3) ),
inference(fof_nnf,[status(thm)],[2]) ).
fof(15,plain,
! [X4] :
( ~ cNothing(X4)
| ? [X5] : rp(X4,X5) ),
inference(variable_rename,[status(thm)],[14]) ).
fof(16,plain,
! [X4] :
( ~ cNothing(X4)
| rp(X4,esk1_1(X4)) ),
inference(skolemize,[status(esa)],[15]) ).
cnf(17,plain,
( rp(X1,esk1_1(X1))
| ~ cNothing(X1) ),
inference(split_conjunct,[status(thm)],[16]) ).
fof(18,plain,
! [X2] :
( cowlThing(X2)
& ~ cowlNothing(X2) ),
inference(variable_rename,[status(thm)],[7]) ).
cnf(19,plain,
~ cowlNothing(X1),
inference(split_conjunct,[status(thm)],[18]) ).
cnf(20,plain,
cowlThing(X1),
inference(split_conjunct,[status(thm)],[18]) ).
fof(21,plain,
! [X1] :
( ( ~ xsd_string(X1)
| ~ xsd_integer(X1) )
& ( xsd_integer(X1)
| xsd_string(X1) ) ),
inference(fof_nnf,[status(thm)],[8]) ).
fof(22,plain,
! [X2] :
( ( ~ xsd_string(X2)
| ~ xsd_integer(X2) )
& ( xsd_integer(X2)
| xsd_string(X2) ) ),
inference(variable_rename,[status(thm)],[21]) ).
cnf(23,plain,
( xsd_string(X1)
| xsd_integer(X1) ),
inference(split_conjunct,[status(thm)],[22]) ).
cnf(24,plain,
( ~ xsd_integer(X1)
| ~ xsd_string(X1) ),
inference(split_conjunct,[status(thm)],[22]) ).
fof(25,negated_conjecture,
( ? [X1] :
( ~ cowlThing(X1)
| cowlNothing(X1) )
| ? [X1] :
( ( ~ xsd_string(X1)
| xsd_integer(X1) )
& ( xsd_string(X1)
| ~ xsd_integer(X1) ) )
| ? [X1] :
( ( ~ cNothing(X1)
| ~ cowlNothing(X1) )
& ( cNothing(X1)
| cowlNothing(X1) ) ) ),
inference(fof_nnf,[status(thm)],[9]) ).
fof(26,negated_conjecture,
( ? [X2] :
( ~ cowlThing(X2)
| cowlNothing(X2) )
| ? [X3] :
( ( ~ xsd_string(X3)
| xsd_integer(X3) )
& ( xsd_string(X3)
| ~ xsd_integer(X3) ) )
| ? [X4] :
( ( ~ cNothing(X4)
| ~ cowlNothing(X4) )
& ( cNothing(X4)
| cowlNothing(X4) ) ) ),
inference(variable_rename,[status(thm)],[25]) ).
fof(27,negated_conjecture,
( ~ cowlThing(esk2_0)
| cowlNothing(esk2_0)
| ( ( ~ xsd_string(esk3_0)
| xsd_integer(esk3_0) )
& ( xsd_string(esk3_0)
| ~ xsd_integer(esk3_0) ) )
| ( ( ~ cNothing(esk4_0)
| ~ cowlNothing(esk4_0) )
& ( cNothing(esk4_0)
| cowlNothing(esk4_0) ) ) ),
inference(skolemize,[status(esa)],[26]) ).
fof(28,negated_conjecture,
( ( ~ cNothing(esk4_0)
| ~ cowlNothing(esk4_0)
| ~ xsd_string(esk3_0)
| xsd_integer(esk3_0)
| ~ cowlThing(esk2_0)
| cowlNothing(esk2_0) )
& ( cNothing(esk4_0)
| cowlNothing(esk4_0)
| ~ xsd_string(esk3_0)
| xsd_integer(esk3_0)
| ~ cowlThing(esk2_0)
| cowlNothing(esk2_0) )
& ( ~ cNothing(esk4_0)
| ~ cowlNothing(esk4_0)
| xsd_string(esk3_0)
| ~ xsd_integer(esk3_0)
| ~ cowlThing(esk2_0)
| cowlNothing(esk2_0) )
& ( cNothing(esk4_0)
| cowlNothing(esk4_0)
| xsd_string(esk3_0)
| ~ xsd_integer(esk3_0)
| ~ cowlThing(esk2_0)
| cowlNothing(esk2_0) ) ),
inference(distribute,[status(thm)],[27]) ).
cnf(29,negated_conjecture,
( cowlNothing(esk2_0)
| xsd_string(esk3_0)
| cowlNothing(esk4_0)
| cNothing(esk4_0)
| ~ cowlThing(esk2_0)
| ~ xsd_integer(esk3_0) ),
inference(split_conjunct,[status(thm)],[28]) ).
cnf(31,negated_conjecture,
( cowlNothing(esk2_0)
| xsd_integer(esk3_0)
| cowlNothing(esk4_0)
| cNothing(esk4_0)
| ~ cowlThing(esk2_0)
| ~ xsd_string(esk3_0) ),
inference(split_conjunct,[status(thm)],[28]) ).
cnf(33,negated_conjecture,
( cNothing(esk4_0)
| cowlNothing(esk2_0)
| cowlNothing(esk4_0)
| xsd_string(esk3_0)
| $false
| ~ xsd_integer(esk3_0) ),
inference(rw,[status(thm)],[29,20,theory(equality)]),
[unfolding] ).
cnf(34,negated_conjecture,
( cNothing(esk4_0)
| cowlNothing(esk2_0)
| cowlNothing(esk4_0)
| xsd_integer(esk3_0)
| $false
| ~ xsd_string(esk3_0) ),
inference(rw,[status(thm)],[31,20,theory(equality)]),
[unfolding] ).
cnf(38,negated_conjecture,
( cNothing(esk4_0)
| cowlNothing(esk4_0)
| xsd_string(esk3_0)
| ~ xsd_integer(esk3_0) ),
inference(sr,[status(thm)],[33,19,theory(equality)]) ).
cnf(39,negated_conjecture,
( cNothing(esk4_0)
| xsd_string(esk3_0)
| ~ xsd_integer(esk3_0) ),
inference(sr,[status(thm)],[38,19,theory(equality)]) ).
cnf(40,negated_conjecture,
( xsd_string(esk3_0)
| cNothing(esk4_0) ),
inference(csr,[status(thm)],[39,23]) ).
cnf(42,negated_conjecture,
( cNothing(esk4_0)
| cowlNothing(esk4_0)
| xsd_integer(esk3_0)
| ~ xsd_string(esk3_0) ),
inference(sr,[status(thm)],[34,19,theory(equality)]) ).
cnf(43,negated_conjecture,
( cNothing(esk4_0)
| xsd_integer(esk3_0)
| ~ xsd_string(esk3_0) ),
inference(sr,[status(thm)],[42,19,theory(equality)]) ).
cnf(44,negated_conjecture,
( xsd_integer(esk3_0)
| cNothing(esk4_0) ),
inference(csr,[status(thm)],[43,23]) ).
cnf(48,plain,
~ cNothing(X1),
inference(csr,[status(thm)],[17,13]) ).
cnf(49,negated_conjecture,
xsd_string(esk3_0),
inference(sr,[status(thm)],[40,48,theory(equality)]) ).
cnf(50,negated_conjecture,
xsd_integer(esk3_0),
inference(sr,[status(thm)],[44,48,theory(equality)]) ).
cnf(53,negated_conjecture,
~ xsd_integer(esk3_0),
inference(spm,[status(thm)],[24,49,theory(equality)]) ).
cnf(54,negated_conjecture,
$false,
inference(rw,[status(thm)],[53,50,theory(equality)]) ).
cnf(55,negated_conjecture,
$false,
inference(cn,[status(thm)],[54,theory(equality)]) ).
cnf(56,negated_conjecture,
$false,
55,
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% % SZS status Started for /home/graph/tptp/TPTP/Problems/KRS/KRS130+1.p
% --creating new selector for []
% -running prover on /tmp/tmpz2k1D2/sel_KRS130+1.p_1 with time limit 29
% -prover status Theorem
% Problem KRS130+1.p solved in phase 0.
% % SZS status Theorem for /home/graph/tptp/TPTP/Problems/KRS/KRS130+1.p
% % SZS status Ended for /home/graph/tptp/TPTP/Problems/KRS/KRS130+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
%
%------------------------------------------------------------------------------