TSTP Solution File: KRS169+1 by SInE---0.4
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SInE---0.4
% Problem : KRS169+1 : TPTP v5.0.0. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : Source/sine.py -e eprover -t %d %s
% Computer : art04.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 13:04:28 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 : 41 ( 11 unt; 0 def)
% Number of atoms : 149 ( 0 equ)
% Maximal formula atoms : 14 ( 3 avg)
% Number of connectives : 182 ( 74 ~; 76 |; 26 &)
% ( 6 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 7 ( 6 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 4 con; 0-0 aty)
% Number of variables : 29 ( 2 sgn 19 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(1,conjecture,
( ! [X1] :
( cowlThing(X1)
& ~ cowlNothing(X1) )
& ! [X1] :
( xsd_string(X1)
<=> ~ xsd_integer(X1) )
& cowlThing(iX)
& rhasHead(iX,iY)
& cowlThing(iY) ),
file('/tmp/tmprKJ7ZU/sel_KRS169+1.p_1',the_axiom) ).
fof(3,axiom,
rhasLeader(iX,iY),
file('/tmp/tmprKJ7ZU/sel_KRS169+1.p_1',axiom_3) ).
fof(4,axiom,
! [X1] :
( cowlThing(X1)
& ~ cowlNothing(X1) ),
file('/tmp/tmprKJ7ZU/sel_KRS169+1.p_1',axiom_0) ).
fof(5,axiom,
! [X1] :
( xsd_string(X1)
<=> ~ xsd_integer(X1) ),
file('/tmp/tmprKJ7ZU/sel_KRS169+1.p_1',axiom_1) ).
fof(7,axiom,
! [X1,X2] :
( rhasLeader(X1,X2)
<=> rhasHead(X1,X2) ),
file('/tmp/tmprKJ7ZU/sel_KRS169+1.p_1',axiom_5) ).
fof(8,negated_conjecture,
~ ( ! [X1] :
( cowlThing(X1)
& ~ cowlNothing(X1) )
& ! [X1] :
( xsd_string(X1)
<=> ~ xsd_integer(X1) )
& cowlThing(iX)
& rhasHead(iX,iY)
& cowlThing(iY) ),
inference(assume_negation,[status(cth)],[1]) ).
fof(9,negated_conjecture,
~ ( ! [X1] :
( cowlThing(X1)
& ~ cowlNothing(X1) )
& ! [X1] :
( xsd_string(X1)
<=> ~ xsd_integer(X1) )
& cowlThing(iX)
& rhasHead(iX,iY)
& cowlThing(iY) ),
inference(fof_simplification,[status(thm)],[8,theory(equality)]) ).
fof(10,plain,
! [X1] :
( cowlThing(X1)
& ~ cowlNothing(X1) ),
inference(fof_simplification,[status(thm)],[4,theory(equality)]) ).
fof(11,plain,
! [X1] :
( xsd_string(X1)
<=> ~ xsd_integer(X1) ),
inference(fof_simplification,[status(thm)],[5,theory(equality)]) ).
fof(12,negated_conjecture,
( ? [X1] :
( ~ cowlThing(X1)
| cowlNothing(X1) )
| ? [X1] :
( ( ~ xsd_string(X1)
| xsd_integer(X1) )
& ( xsd_string(X1)
| ~ xsd_integer(X1) ) )
| ~ cowlThing(iX)
| ~ rhasHead(iX,iY)
| ~ cowlThing(iY) ),
inference(fof_nnf,[status(thm)],[9]) ).
fof(13,negated_conjecture,
( ? [X2] :
( ~ cowlThing(X2)
| cowlNothing(X2) )
| ? [X3] :
( ( ~ xsd_string(X3)
| xsd_integer(X3) )
& ( xsd_string(X3)
| ~ xsd_integer(X3) ) )
| ~ cowlThing(iX)
| ~ rhasHead(iX,iY)
| ~ cowlThing(iY) ),
inference(variable_rename,[status(thm)],[12]) ).
fof(14,negated_conjecture,
( ~ cowlThing(esk1_0)
| cowlNothing(esk1_0)
| ( ( ~ xsd_string(esk2_0)
| xsd_integer(esk2_0) )
& ( xsd_string(esk2_0)
| ~ xsd_integer(esk2_0) ) )
| ~ cowlThing(iX)
| ~ rhasHead(iX,iY)
| ~ cowlThing(iY) ),
inference(skolemize,[status(esa)],[13]) ).
fof(15,negated_conjecture,
( ( ~ xsd_string(esk2_0)
| xsd_integer(esk2_0)
| ~ cowlThing(esk1_0)
| cowlNothing(esk1_0)
| ~ cowlThing(iX)
| ~ rhasHead(iX,iY)
| ~ cowlThing(iY) )
& ( xsd_string(esk2_0)
| ~ xsd_integer(esk2_0)
| ~ cowlThing(esk1_0)
| cowlNothing(esk1_0)
| ~ cowlThing(iX)
| ~ rhasHead(iX,iY)
| ~ cowlThing(iY) ) ),
inference(distribute,[status(thm)],[14]) ).
cnf(16,negated_conjecture,
( cowlNothing(esk1_0)
| xsd_string(esk2_0)
| ~ cowlThing(iY)
| ~ rhasHead(iX,iY)
| ~ cowlThing(iX)
| ~ cowlThing(esk1_0)
| ~ xsd_integer(esk2_0) ),
inference(split_conjunct,[status(thm)],[15]) ).
cnf(17,negated_conjecture,
( cowlNothing(esk1_0)
| xsd_integer(esk2_0)
| ~ cowlThing(iY)
| ~ rhasHead(iX,iY)
| ~ cowlThing(iX)
| ~ cowlThing(esk1_0)
| ~ xsd_string(esk2_0) ),
inference(split_conjunct,[status(thm)],[15]) ).
cnf(19,plain,
rhasLeader(iX,iY),
inference(split_conjunct,[status(thm)],[3]) ).
fof(20,plain,
! [X2] :
( cowlThing(X2)
& ~ cowlNothing(X2) ),
inference(variable_rename,[status(thm)],[10]) ).
cnf(21,plain,
~ cowlNothing(X1),
inference(split_conjunct,[status(thm)],[20]) ).
cnf(22,plain,
cowlThing(X1),
inference(split_conjunct,[status(thm)],[20]) ).
fof(23,plain,
! [X1] :
( ( ~ xsd_string(X1)
| ~ xsd_integer(X1) )
& ( xsd_integer(X1)
| xsd_string(X1) ) ),
inference(fof_nnf,[status(thm)],[11]) ).
fof(24,plain,
! [X2] :
( ( ~ xsd_string(X2)
| ~ xsd_integer(X2) )
& ( xsd_integer(X2)
| xsd_string(X2) ) ),
inference(variable_rename,[status(thm)],[23]) ).
cnf(25,plain,
( xsd_string(X1)
| xsd_integer(X1) ),
inference(split_conjunct,[status(thm)],[24]) ).
cnf(26,plain,
( ~ xsd_integer(X1)
| ~ xsd_string(X1) ),
inference(split_conjunct,[status(thm)],[24]) ).
fof(28,plain,
! [X1,X2] :
( ( ~ rhasLeader(X1,X2)
| rhasHead(X1,X2) )
& ( ~ rhasHead(X1,X2)
| rhasLeader(X1,X2) ) ),
inference(fof_nnf,[status(thm)],[7]) ).
fof(29,plain,
! [X3,X4] :
( ( ~ rhasLeader(X3,X4)
| rhasHead(X3,X4) )
& ( ~ rhasHead(X3,X4)
| rhasLeader(X3,X4) ) ),
inference(variable_rename,[status(thm)],[28]) ).
cnf(31,plain,
( rhasHead(X1,X2)
| ~ rhasLeader(X1,X2) ),
inference(split_conjunct,[status(thm)],[29]) ).
cnf(34,negated_conjecture,
( cowlNothing(esk1_0)
| xsd_string(esk2_0)
| $false
| $false
| $false
| ~ xsd_integer(esk2_0)
| ~ rhasHead(iX,iY) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[16,22,theory(equality)]),22,theory(equality)]),22,theory(equality)]),
[unfolding] ).
cnf(35,negated_conjecture,
( cowlNothing(esk1_0)
| xsd_integer(esk2_0)
| $false
| $false
| $false
| ~ xsd_string(esk2_0)
| ~ rhasHead(iX,iY) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[17,22,theory(equality)]),22,theory(equality)]),22,theory(equality)]),
[unfolding] ).
cnf(37,negated_conjecture,
( xsd_string(esk2_0)
| ~ xsd_integer(esk2_0)
| ~ rhasHead(iX,iY) ),
inference(sr,[status(thm)],[34,21,theory(equality)]) ).
cnf(38,negated_conjecture,
( xsd_string(esk2_0)
| ~ rhasHead(iX,iY) ),
inference(csr,[status(thm)],[37,25]) ).
cnf(39,negated_conjecture,
( xsd_integer(esk2_0)
| ~ xsd_string(esk2_0)
| ~ rhasHead(iX,iY) ),
inference(sr,[status(thm)],[35,21,theory(equality)]) ).
cnf(40,negated_conjecture,
( xsd_integer(esk2_0)
| ~ rhasHead(iX,iY) ),
inference(csr,[status(thm)],[39,25]) ).
cnf(41,plain,
rhasHead(iX,iY),
inference(spm,[status(thm)],[31,19,theory(equality)]) ).
cnf(43,negated_conjecture,
( xsd_integer(esk2_0)
| $false ),
inference(rw,[status(thm)],[40,41,theory(equality)]) ).
cnf(44,negated_conjecture,
xsd_integer(esk2_0),
inference(cn,[status(thm)],[43,theory(equality)]) ).
cnf(45,negated_conjecture,
( xsd_string(esk2_0)
| $false ),
inference(rw,[status(thm)],[38,41,theory(equality)]) ).
cnf(46,negated_conjecture,
xsd_string(esk2_0),
inference(cn,[status(thm)],[45,theory(equality)]) ).
cnf(47,negated_conjecture,
~ xsd_string(esk2_0),
inference(spm,[status(thm)],[26,44,theory(equality)]) ).
cnf(48,negated_conjecture,
$false,
inference(rw,[status(thm)],[47,46,theory(equality)]) ).
cnf(49,negated_conjecture,
$false,
inference(cn,[status(thm)],[48,theory(equality)]) ).
cnf(50,negated_conjecture,
$false,
49,
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% % SZS status Started for /home/graph/tptp/TPTP/Problems/KRS/KRS169+1.p
% --creating new selector for []
% -running prover on /tmp/tmprKJ7ZU/sel_KRS169+1.p_1 with time limit 29
% -prover status Theorem
% Problem KRS169+1.p solved in phase 0.
% % SZS status Theorem for /home/graph/tptp/TPTP/Problems/KRS/KRS169+1.p
% % SZS status Ended for /home/graph/tptp/TPTP/Problems/KRS/KRS169+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
%
%------------------------------------------------------------------------------