TSTP Solution File: SEU250+2 by SInE---0.4
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- Process Solution
%------------------------------------------------------------------------------
% File : SInE---0.4
% Problem : SEU250+2 : TPTP v5.0.0. Released v3.3.0.
% 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 : Sun Dec 26 06:16:23 EST 2010
% Result : Theorem 4.52s
% Output : CNFRefutation 4.52s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 3
% Syntax : Number of formulae : 32 ( 6 unt; 0 def)
% Number of atoms : 99 ( 0 equ)
% Maximal formula atoms : 7 ( 3 avg)
% Number of connectives : 113 ( 46 ~; 42 |; 19 &)
% ( 1 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 2 con; 0-2 aty)
% Number of variables : 60 ( 2 sgn 34 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(105,conjecture,
! [X1,X2] :
( relation(X2)
=> ( subset(relation_field(relation_restriction(X2,X1)),relation_field(X2))
& subset(relation_field(relation_restriction(X2,X1)),X1) ) ),
file('/tmp/tmpz1lr8z/sel_SEU250+2.p_1',t20_wellord1) ).
fof(141,axiom,
! [X1,X2,X3] :
( relation(X3)
=> ( in(X1,relation_field(relation_restriction(X3,X2)))
=> ( in(X1,relation_field(X3))
& in(X1,X2) ) ) ),
file('/tmp/tmpz1lr8z/sel_SEU250+2.p_1',t19_wellord1) ).
fof(146,axiom,
! [X1,X2] :
( subset(X1,X2)
<=> ! [X3] :
( in(X3,X1)
=> in(X3,X2) ) ),
file('/tmp/tmpz1lr8z/sel_SEU250+2.p_1',d3_tarski) ).
fof(309,negated_conjecture,
~ ! [X1,X2] :
( relation(X2)
=> ( subset(relation_field(relation_restriction(X2,X1)),relation_field(X2))
& subset(relation_field(relation_restriction(X2,X1)),X1) ) ),
inference(assume_negation,[status(cth)],[105]) ).
fof(790,negated_conjecture,
? [X1,X2] :
( relation(X2)
& ( ~ subset(relation_field(relation_restriction(X2,X1)),relation_field(X2))
| ~ subset(relation_field(relation_restriction(X2,X1)),X1) ) ),
inference(fof_nnf,[status(thm)],[309]) ).
fof(791,negated_conjecture,
? [X3,X4] :
( relation(X4)
& ( ~ subset(relation_field(relation_restriction(X4,X3)),relation_field(X4))
| ~ subset(relation_field(relation_restriction(X4,X3)),X3) ) ),
inference(variable_rename,[status(thm)],[790]) ).
fof(792,negated_conjecture,
( relation(esk35_0)
& ( ~ subset(relation_field(relation_restriction(esk35_0,esk34_0)),relation_field(esk35_0))
| ~ subset(relation_field(relation_restriction(esk35_0,esk34_0)),esk34_0) ) ),
inference(skolemize,[status(esa)],[791]) ).
cnf(793,negated_conjecture,
( ~ subset(relation_field(relation_restriction(esk35_0,esk34_0)),esk34_0)
| ~ subset(relation_field(relation_restriction(esk35_0,esk34_0)),relation_field(esk35_0)) ),
inference(split_conjunct,[status(thm)],[792]) ).
cnf(794,negated_conjecture,
relation(esk35_0),
inference(split_conjunct,[status(thm)],[792]) ).
fof(955,plain,
! [X1,X2,X3] :
( ~ relation(X3)
| ~ in(X1,relation_field(relation_restriction(X3,X2)))
| ( in(X1,relation_field(X3))
& in(X1,X2) ) ),
inference(fof_nnf,[status(thm)],[141]) ).
fof(956,plain,
! [X4,X5,X6] :
( ~ relation(X6)
| ~ in(X4,relation_field(relation_restriction(X6,X5)))
| ( in(X4,relation_field(X6))
& in(X4,X5) ) ),
inference(variable_rename,[status(thm)],[955]) ).
fof(957,plain,
! [X4,X5,X6] :
( ( in(X4,relation_field(X6))
| ~ in(X4,relation_field(relation_restriction(X6,X5)))
| ~ relation(X6) )
& ( in(X4,X5)
| ~ in(X4,relation_field(relation_restriction(X6,X5)))
| ~ relation(X6) ) ),
inference(distribute,[status(thm)],[956]) ).
cnf(958,plain,
( in(X2,X3)
| ~ relation(X1)
| ~ in(X2,relation_field(relation_restriction(X1,X3))) ),
inference(split_conjunct,[status(thm)],[957]) ).
cnf(959,plain,
( in(X2,relation_field(X1))
| ~ relation(X1)
| ~ in(X2,relation_field(relation_restriction(X1,X3))) ),
inference(split_conjunct,[status(thm)],[957]) ).
fof(978,plain,
! [X1,X2] :
( ( ~ subset(X1,X2)
| ! [X3] :
( ~ in(X3,X1)
| in(X3,X2) ) )
& ( ? [X3] :
( in(X3,X1)
& ~ in(X3,X2) )
| subset(X1,X2) ) ),
inference(fof_nnf,[status(thm)],[146]) ).
fof(979,plain,
! [X4,X5] :
( ( ~ subset(X4,X5)
| ! [X6] :
( ~ in(X6,X4)
| in(X6,X5) ) )
& ( ? [X7] :
( in(X7,X4)
& ~ in(X7,X5) )
| subset(X4,X5) ) ),
inference(variable_rename,[status(thm)],[978]) ).
fof(980,plain,
! [X4,X5] :
( ( ~ subset(X4,X5)
| ! [X6] :
( ~ in(X6,X4)
| in(X6,X5) ) )
& ( ( in(esk55_2(X4,X5),X4)
& ~ in(esk55_2(X4,X5),X5) )
| subset(X4,X5) ) ),
inference(skolemize,[status(esa)],[979]) ).
fof(981,plain,
! [X4,X5,X6] :
( ( ~ in(X6,X4)
| in(X6,X5)
| ~ subset(X4,X5) )
& ( ( in(esk55_2(X4,X5),X4)
& ~ in(esk55_2(X4,X5),X5) )
| subset(X4,X5) ) ),
inference(shift_quantors,[status(thm)],[980]) ).
fof(982,plain,
! [X4,X5,X6] :
( ( ~ in(X6,X4)
| in(X6,X5)
| ~ subset(X4,X5) )
& ( in(esk55_2(X4,X5),X4)
| subset(X4,X5) )
& ( ~ in(esk55_2(X4,X5),X5)
| subset(X4,X5) ) ),
inference(distribute,[status(thm)],[981]) ).
cnf(983,plain,
( subset(X1,X2)
| ~ in(esk55_2(X1,X2),X2) ),
inference(split_conjunct,[status(thm)],[982]) ).
cnf(984,plain,
( subset(X1,X2)
| in(esk55_2(X1,X2),X1) ),
inference(split_conjunct,[status(thm)],[982]) ).
cnf(2890,plain,
( in(esk55_2(relation_field(relation_restriction(X1,X2)),X3),X2)
| subset(relation_field(relation_restriction(X1,X2)),X3)
| ~ relation(X1) ),
inference(spm,[status(thm)],[958,984,theory(equality)]) ).
cnf(2991,plain,
( in(esk55_2(relation_field(relation_restriction(X1,X2)),X3),relation_field(X1))
| subset(relation_field(relation_restriction(X1,X2)),X3)
| ~ relation(X1) ),
inference(spm,[status(thm)],[959,984,theory(equality)]) ).
cnf(48278,plain,
( subset(relation_field(relation_restriction(X1,X2)),X2)
| ~ relation(X1) ),
inference(spm,[status(thm)],[983,2890,theory(equality)]) ).
cnf(57280,plain,
( subset(relation_field(relation_restriction(X1,X2)),relation_field(X1))
| ~ relation(X1) ),
inference(spm,[status(thm)],[983,2991,theory(equality)]) ).
cnf(57374,plain,
( ~ subset(relation_field(relation_restriction(esk35_0,esk34_0)),esk34_0)
| ~ relation(esk35_0) ),
inference(spm,[status(thm)],[793,57280,theory(equality)]) ).
cnf(57441,plain,
( ~ subset(relation_field(relation_restriction(esk35_0,esk34_0)),esk34_0)
| $false ),
inference(rw,[status(thm)],[57374,794,theory(equality)]) ).
cnf(57442,plain,
~ subset(relation_field(relation_restriction(esk35_0,esk34_0)),esk34_0),
inference(cn,[status(thm)],[57441,theory(equality)]) ).
cnf(57582,plain,
~ relation(esk35_0),
inference(spm,[status(thm)],[57442,48278,theory(equality)]) ).
cnf(57595,plain,
$false,
inference(rw,[status(thm)],[57582,794,theory(equality)]) ).
cnf(57596,plain,
$false,
inference(cn,[status(thm)],[57595,theory(equality)]) ).
cnf(57597,plain,
$false,
57596,
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% % SZS status Started for /home/graph/tptp/TPTP/Problems/SEU/SEU250+2.p
% --creating new selector for []
% -running prover on /tmp/tmpz1lr8z/sel_SEU250+2.p_1 with time limit 29
% -prover status Theorem
% Problem SEU250+2.p solved in phase 0.
% % SZS status Theorem for /home/graph/tptp/TPTP/Problems/SEU/SEU250+2.p
% % SZS status Ended for /home/graph/tptp/TPTP/Problems/SEU/SEU250+2.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
%
%------------------------------------------------------------------------------