TSTP Solution File: SET658+3 by SInE---0.4
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- Process Solution
%------------------------------------------------------------------------------
% File : SInE---0.4
% Problem : SET658+3 : TPTP v5.0.0. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : Source/sine.py -e eprover -t %d %s
% Computer : art06.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 03:08:16 EST 2010
% Result : Theorem 0.26s
% Output : CNFRefutation 0.26s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 4
% Syntax : Number of formulae : 27 ( 9 unt; 0 def)
% Number of atoms : 58 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 56 ( 25 ~; 22 |; 3 &)
% ( 0 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-2 aty)
% Number of variables : 28 ( 1 sgn 15 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(1,conjecture,
! [X1] :
( ilf_type(X1,binary_relation_type)
=> ilf_type(X1,relation_type(domain_of(X1),range_of(X1))) ),
file('/tmp/tmpYZTsm6/sel_SET658+3.p_1',prove_relset_1_20) ).
fof(10,axiom,
! [X1] : ilf_type(X1,set_type),
file('/tmp/tmpYZTsm6/sel_SET658+3.p_1',p28) ).
fof(16,axiom,
! [X1] :
( ilf_type(X1,set_type)
=> subset(X1,X1) ),
file('/tmp/tmpYZTsm6/sel_SET658+3.p_1',p15) ).
fof(23,axiom,
! [X1] :
( ilf_type(X1,set_type)
=> ! [X2] :
( ilf_type(X2,binary_relation_type)
=> ( subset(domain_of(X2),X1)
=> ilf_type(X2,relation_type(X1,range_of(X2))) ) ) ),
file('/tmp/tmpYZTsm6/sel_SET658+3.p_1',p1) ).
fof(30,negated_conjecture,
~ ! [X1] :
( ilf_type(X1,binary_relation_type)
=> ilf_type(X1,relation_type(domain_of(X1),range_of(X1))) ),
inference(assume_negation,[status(cth)],[1]) ).
fof(35,negated_conjecture,
? [X1] :
( ilf_type(X1,binary_relation_type)
& ~ ilf_type(X1,relation_type(domain_of(X1),range_of(X1))) ),
inference(fof_nnf,[status(thm)],[30]) ).
fof(36,negated_conjecture,
? [X2] :
( ilf_type(X2,binary_relation_type)
& ~ ilf_type(X2,relation_type(domain_of(X2),range_of(X2))) ),
inference(variable_rename,[status(thm)],[35]) ).
fof(37,negated_conjecture,
( ilf_type(esk1_0,binary_relation_type)
& ~ ilf_type(esk1_0,relation_type(domain_of(esk1_0),range_of(esk1_0))) ),
inference(skolemize,[status(esa)],[36]) ).
cnf(38,negated_conjecture,
~ ilf_type(esk1_0,relation_type(domain_of(esk1_0),range_of(esk1_0))),
inference(split_conjunct,[status(thm)],[37]) ).
cnf(39,negated_conjecture,
ilf_type(esk1_0,binary_relation_type),
inference(split_conjunct,[status(thm)],[37]) ).
fof(77,plain,
! [X2] : ilf_type(X2,set_type),
inference(variable_rename,[status(thm)],[10]) ).
cnf(78,plain,
ilf_type(X1,set_type),
inference(split_conjunct,[status(thm)],[77]) ).
fof(106,plain,
! [X1] :
( ~ ilf_type(X1,set_type)
| subset(X1,X1) ),
inference(fof_nnf,[status(thm)],[16]) ).
fof(107,plain,
! [X2] :
( ~ ilf_type(X2,set_type)
| subset(X2,X2) ),
inference(variable_rename,[status(thm)],[106]) ).
cnf(108,plain,
( subset(X1,X1)
| ~ ilf_type(X1,set_type) ),
inference(split_conjunct,[status(thm)],[107]) ).
fof(149,plain,
! [X1] :
( ~ ilf_type(X1,set_type)
| ! [X2] :
( ~ ilf_type(X2,binary_relation_type)
| ~ subset(domain_of(X2),X1)
| ilf_type(X2,relation_type(X1,range_of(X2))) ) ),
inference(fof_nnf,[status(thm)],[23]) ).
fof(150,plain,
! [X3] :
( ~ ilf_type(X3,set_type)
| ! [X4] :
( ~ ilf_type(X4,binary_relation_type)
| ~ subset(domain_of(X4),X3)
| ilf_type(X4,relation_type(X3,range_of(X4))) ) ),
inference(variable_rename,[status(thm)],[149]) ).
fof(151,plain,
! [X3,X4] :
( ~ ilf_type(X4,binary_relation_type)
| ~ subset(domain_of(X4),X3)
| ilf_type(X4,relation_type(X3,range_of(X4)))
| ~ ilf_type(X3,set_type) ),
inference(shift_quantors,[status(thm)],[150]) ).
cnf(152,plain,
( ilf_type(X2,relation_type(X1,range_of(X2)))
| ~ ilf_type(X1,set_type)
| ~ subset(domain_of(X2),X1)
| ~ ilf_type(X2,binary_relation_type) ),
inference(split_conjunct,[status(thm)],[151]) ).
cnf(186,plain,
( subset(X1,X1)
| $false ),
inference(rw,[status(thm)],[108,78,theory(equality)]) ).
cnf(187,plain,
subset(X1,X1),
inference(cn,[status(thm)],[186,theory(equality)]) ).
cnf(247,plain,
( ilf_type(X2,relation_type(X1,range_of(X2)))
| ~ ilf_type(X2,binary_relation_type)
| $false
| ~ subset(domain_of(X2),X1) ),
inference(rw,[status(thm)],[152,78,theory(equality)]) ).
cnf(248,plain,
( ilf_type(X2,relation_type(X1,range_of(X2)))
| ~ ilf_type(X2,binary_relation_type)
| ~ subset(domain_of(X2),X1) ),
inference(cn,[status(thm)],[247,theory(equality)]) ).
cnf(249,negated_conjecture,
( ilf_type(esk1_0,relation_type(X1,range_of(esk1_0)))
| ~ subset(domain_of(esk1_0),X1) ),
inference(spm,[status(thm)],[248,39,theory(equality)]) ).
cnf(472,negated_conjecture,
ilf_type(esk1_0,relation_type(domain_of(esk1_0),range_of(esk1_0))),
inference(spm,[status(thm)],[249,187,theory(equality)]) ).
cnf(474,negated_conjecture,
$false,
inference(sr,[status(thm)],[472,38,theory(equality)]) ).
cnf(475,negated_conjecture,
$false,
474,
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% % SZS status Started for /home/graph/tptp/TPTP/Problems/SET/SET658+3.p
% --creating new selector for []
% -running prover on /tmp/tmpYZTsm6/sel_SET658+3.p_1 with time limit 29
% -prover status Theorem
% Problem SET658+3.p solved in phase 0.
% % SZS status Theorem for /home/graph/tptp/TPTP/Problems/SET/SET658+3.p
% % SZS status Ended for /home/graph/tptp/TPTP/Problems/SET/SET658+3.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
%
%------------------------------------------------------------------------------