TSTP Solution File: SET653+3 by SInE---0.4
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- Process Solution
%------------------------------------------------------------------------------
% File : SInE---0.4
% Problem : SET653+3 : TPTP v5.0.0. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : Source/sine.py -e eprover -t %d %s
% Computer : art11.cs.miami.edu
% Model : i686 i686
% CPU : Intel(R) Pentium(R) 4 CPU 3.00GHz @ 3000MHz
% Memory : 2006MB
% OS : Linux 2.6.31.5-127.fc12.i686.PAE
% CPULimit : 300s
% DateTime : Sun Dec 26 03:12:06 EST 2010
% Result : Theorem 0.24s
% Output : CNFRefutation 0.24s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 5
% Syntax : Number of formulae : 45 ( 11 unt; 0 def)
% Number of atoms : 189 ( 0 equ)
% Maximal formula atoms : 8 ( 4 avg)
% Number of connectives : 235 ( 91 ~; 101 |; 21 &)
% ( 0 <=>; 22 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 6 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 5 con; 0-2 aty)
% Number of variables : 112 ( 7 sgn 53 !; 8 ?)
% Comments :
%------------------------------------------------------------------------------
fof(1,conjecture,
! [X1] :
( ilf_type(X1,set_type)
=> ! [X2] :
( ilf_type(X2,set_type)
=> ! [X3] :
( ilf_type(X3,set_type)
=> ! [X4] :
( ilf_type(X4,relation_type(X1,X3))
=> ( subset(X1,X2)
=> ilf_type(X4,relation_type(X2,X3)) ) ) ) ) ),
file('/tmp/tmpXuAWOz/sel_SET653+3.p_1',prove_relset_1_15) ).
fof(4,axiom,
! [X1] : ilf_type(X1,set_type),
file('/tmp/tmpXuAWOz/sel_SET653+3.p_1',p22) ).
fof(15,axiom,
! [X1] :
( ilf_type(X1,set_type)
=> ! [X2] :
( ilf_type(X2,set_type)
=> ! [X3] :
( ilf_type(X3,relation_type(X1,X2))
=> ( subset(domain_of(X3),X1)
& subset(range_of(X3),X2) ) ) ) ),
file('/tmp/tmpXuAWOz/sel_SET653+3.p_1',p2) ).
fof(16,axiom,
! [X1] :
( ilf_type(X1,set_type)
=> ! [X2] :
( ilf_type(X2,set_type)
=> ! [X3] :
( ilf_type(X3,set_type)
=> ! [X4] :
( ilf_type(X4,relation_type(X1,X3))
=> ( subset(domain_of(X4),X2)
=> ilf_type(X4,relation_type(X2,X3)) ) ) ) ) ),
file('/tmp/tmpXuAWOz/sel_SET653+3.p_1',p3) ).
fof(17,axiom,
! [X1] :
( ilf_type(X1,set_type)
=> ! [X2] :
( ilf_type(X2,set_type)
=> ! [X3] :
( ilf_type(X3,set_type)
=> ( ( subset(X1,X2)
& subset(X2,X3) )
=> subset(X1,X3) ) ) ) ),
file('/tmp/tmpXuAWOz/sel_SET653+3.p_1',p1) ).
fof(24,negated_conjecture,
~ ! [X1] :
( ilf_type(X1,set_type)
=> ! [X2] :
( ilf_type(X2,set_type)
=> ! [X3] :
( ilf_type(X3,set_type)
=> ! [X4] :
( ilf_type(X4,relation_type(X1,X3))
=> ( subset(X1,X2)
=> ilf_type(X4,relation_type(X2,X3)) ) ) ) ) ),
inference(assume_negation,[status(cth)],[1]) ).
fof(29,negated_conjecture,
? [X1] :
( ilf_type(X1,set_type)
& ? [X2] :
( ilf_type(X2,set_type)
& ? [X3] :
( ilf_type(X3,set_type)
& ? [X4] :
( ilf_type(X4,relation_type(X1,X3))
& subset(X1,X2)
& ~ ilf_type(X4,relation_type(X2,X3)) ) ) ) ),
inference(fof_nnf,[status(thm)],[24]) ).
fof(30,negated_conjecture,
? [X5] :
( ilf_type(X5,set_type)
& ? [X6] :
( ilf_type(X6,set_type)
& ? [X7] :
( ilf_type(X7,set_type)
& ? [X8] :
( ilf_type(X8,relation_type(X5,X7))
& subset(X5,X6)
& ~ ilf_type(X8,relation_type(X6,X7)) ) ) ) ),
inference(variable_rename,[status(thm)],[29]) ).
fof(31,negated_conjecture,
( ilf_type(esk1_0,set_type)
& ilf_type(esk2_0,set_type)
& ilf_type(esk3_0,set_type)
& ilf_type(esk4_0,relation_type(esk1_0,esk3_0))
& subset(esk1_0,esk2_0)
& ~ ilf_type(esk4_0,relation_type(esk2_0,esk3_0)) ),
inference(skolemize,[status(esa)],[30]) ).
cnf(32,negated_conjecture,
~ ilf_type(esk4_0,relation_type(esk2_0,esk3_0)),
inference(split_conjunct,[status(thm)],[31]) ).
cnf(33,negated_conjecture,
subset(esk1_0,esk2_0),
inference(split_conjunct,[status(thm)],[31]) ).
cnf(34,negated_conjecture,
ilf_type(esk4_0,relation_type(esk1_0,esk3_0)),
inference(split_conjunct,[status(thm)],[31]) ).
fof(46,plain,
! [X2] : ilf_type(X2,set_type),
inference(variable_rename,[status(thm)],[4]) ).
cnf(47,plain,
ilf_type(X1,set_type),
inference(split_conjunct,[status(thm)],[46]) ).
fof(107,plain,
! [X1] :
( ~ ilf_type(X1,set_type)
| ! [X2] :
( ~ ilf_type(X2,set_type)
| ! [X3] :
( ~ ilf_type(X3,relation_type(X1,X2))
| ( subset(domain_of(X3),X1)
& subset(range_of(X3),X2) ) ) ) ),
inference(fof_nnf,[status(thm)],[15]) ).
fof(108,plain,
! [X4] :
( ~ ilf_type(X4,set_type)
| ! [X5] :
( ~ ilf_type(X5,set_type)
| ! [X6] :
( ~ ilf_type(X6,relation_type(X4,X5))
| ( subset(domain_of(X6),X4)
& subset(range_of(X6),X5) ) ) ) ),
inference(variable_rename,[status(thm)],[107]) ).
fof(109,plain,
! [X4,X5,X6] :
( ~ ilf_type(X6,relation_type(X4,X5))
| ( subset(domain_of(X6),X4)
& subset(range_of(X6),X5) )
| ~ ilf_type(X5,set_type)
| ~ ilf_type(X4,set_type) ),
inference(shift_quantors,[status(thm)],[108]) ).
fof(110,plain,
! [X4,X5,X6] :
( ( subset(domain_of(X6),X4)
| ~ ilf_type(X6,relation_type(X4,X5))
| ~ ilf_type(X5,set_type)
| ~ ilf_type(X4,set_type) )
& ( subset(range_of(X6),X5)
| ~ ilf_type(X6,relation_type(X4,X5))
| ~ ilf_type(X5,set_type)
| ~ ilf_type(X4,set_type) ) ),
inference(distribute,[status(thm)],[109]) ).
cnf(112,plain,
( subset(domain_of(X3),X1)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X3,relation_type(X1,X2)) ),
inference(split_conjunct,[status(thm)],[110]) ).
fof(113,plain,
! [X1] :
( ~ ilf_type(X1,set_type)
| ! [X2] :
( ~ ilf_type(X2,set_type)
| ! [X3] :
( ~ ilf_type(X3,set_type)
| ! [X4] :
( ~ ilf_type(X4,relation_type(X1,X3))
| ~ subset(domain_of(X4),X2)
| ilf_type(X4,relation_type(X2,X3)) ) ) ) ),
inference(fof_nnf,[status(thm)],[16]) ).
fof(114,plain,
! [X5] :
( ~ ilf_type(X5,set_type)
| ! [X6] :
( ~ ilf_type(X6,set_type)
| ! [X7] :
( ~ ilf_type(X7,set_type)
| ! [X8] :
( ~ ilf_type(X8,relation_type(X5,X7))
| ~ subset(domain_of(X8),X6)
| ilf_type(X8,relation_type(X6,X7)) ) ) ) ),
inference(variable_rename,[status(thm)],[113]) ).
fof(115,plain,
! [X5,X6,X7,X8] :
( ~ ilf_type(X8,relation_type(X5,X7))
| ~ subset(domain_of(X8),X6)
| ilf_type(X8,relation_type(X6,X7))
| ~ ilf_type(X7,set_type)
| ~ ilf_type(X6,set_type)
| ~ ilf_type(X5,set_type) ),
inference(shift_quantors,[status(thm)],[114]) ).
cnf(116,plain,
( ilf_type(X4,relation_type(X2,X3))
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X3,set_type)
| ~ subset(domain_of(X4),X2)
| ~ ilf_type(X4,relation_type(X1,X3)) ),
inference(split_conjunct,[status(thm)],[115]) ).
fof(117,plain,
! [X1] :
( ~ ilf_type(X1,set_type)
| ! [X2] :
( ~ ilf_type(X2,set_type)
| ! [X3] :
( ~ ilf_type(X3,set_type)
| ~ subset(X1,X2)
| ~ subset(X2,X3)
| subset(X1,X3) ) ) ),
inference(fof_nnf,[status(thm)],[17]) ).
fof(118,plain,
! [X4] :
( ~ ilf_type(X4,set_type)
| ! [X5] :
( ~ ilf_type(X5,set_type)
| ! [X6] :
( ~ ilf_type(X6,set_type)
| ~ subset(X4,X5)
| ~ subset(X5,X6)
| subset(X4,X6) ) ) ),
inference(variable_rename,[status(thm)],[117]) ).
fof(119,plain,
! [X4,X5,X6] :
( ~ ilf_type(X6,set_type)
| ~ subset(X4,X5)
| ~ subset(X5,X6)
| subset(X4,X6)
| ~ ilf_type(X5,set_type)
| ~ ilf_type(X4,set_type) ),
inference(shift_quantors,[status(thm)],[118]) ).
cnf(120,plain,
( subset(X1,X3)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X2,set_type)
| ~ subset(X2,X3)
| ~ subset(X1,X2)
| ~ ilf_type(X3,set_type) ),
inference(split_conjunct,[status(thm)],[119]) ).
cnf(199,plain,
( subset(domain_of(X3),X1)
| $false
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X3,relation_type(X1,X2)) ),
inference(rw,[status(thm)],[112,47,theory(equality)]) ).
cnf(200,plain,
( subset(domain_of(X3),X1)
| $false
| $false
| ~ ilf_type(X3,relation_type(X1,X2)) ),
inference(rw,[status(thm)],[199,47,theory(equality)]) ).
cnf(201,plain,
( subset(domain_of(X3),X1)
| ~ ilf_type(X3,relation_type(X1,X2)) ),
inference(cn,[status(thm)],[200,theory(equality)]) ).
cnf(202,negated_conjecture,
subset(domain_of(esk4_0),esk1_0),
inference(spm,[status(thm)],[201,34,theory(equality)]) ).
cnf(225,plain,
( subset(X1,X3)
| ~ subset(X2,X3)
| ~ subset(X1,X2)
| $false
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X1,set_type) ),
inference(rw,[status(thm)],[120,47,theory(equality)]) ).
cnf(226,plain,
( subset(X1,X3)
| ~ subset(X2,X3)
| ~ subset(X1,X2)
| $false
| $false
| ~ ilf_type(X1,set_type) ),
inference(rw,[status(thm)],[225,47,theory(equality)]) ).
cnf(227,plain,
( subset(X1,X3)
| ~ subset(X2,X3)
| ~ subset(X1,X2)
| $false
| $false
| $false ),
inference(rw,[status(thm)],[226,47,theory(equality)]) ).
cnf(228,plain,
( subset(X1,X3)
| ~ subset(X2,X3)
| ~ subset(X1,X2) ),
inference(cn,[status(thm)],[227,theory(equality)]) ).
cnf(229,negated_conjecture,
( subset(X1,esk2_0)
| ~ subset(X1,esk1_0) ),
inference(spm,[status(thm)],[228,33,theory(equality)]) ).
cnf(279,plain,
( ilf_type(X4,relation_type(X2,X3))
| $false
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X1,set_type)
| ~ subset(domain_of(X4),X2)
| ~ ilf_type(X4,relation_type(X1,X3)) ),
inference(rw,[status(thm)],[116,47,theory(equality)]) ).
cnf(280,plain,
( ilf_type(X4,relation_type(X2,X3))
| $false
| $false
| ~ ilf_type(X1,set_type)
| ~ subset(domain_of(X4),X2)
| ~ ilf_type(X4,relation_type(X1,X3)) ),
inference(rw,[status(thm)],[279,47,theory(equality)]) ).
cnf(281,plain,
( ilf_type(X4,relation_type(X2,X3))
| $false
| $false
| $false
| ~ subset(domain_of(X4),X2)
| ~ ilf_type(X4,relation_type(X1,X3)) ),
inference(rw,[status(thm)],[280,47,theory(equality)]) ).
cnf(282,plain,
( ilf_type(X4,relation_type(X2,X3))
| ~ subset(domain_of(X4),X2)
| ~ ilf_type(X4,relation_type(X1,X3)) ),
inference(cn,[status(thm)],[281,theory(equality)]) ).
cnf(321,negated_conjecture,
subset(domain_of(esk4_0),esk2_0),
inference(spm,[status(thm)],[229,202,theory(equality)]) ).
cnf(344,negated_conjecture,
( ilf_type(esk4_0,relation_type(esk2_0,X1))
| ~ ilf_type(esk4_0,relation_type(X2,X1)) ),
inference(spm,[status(thm)],[282,321,theory(equality)]) ).
cnf(602,negated_conjecture,
ilf_type(esk4_0,relation_type(esk2_0,esk3_0)),
inference(spm,[status(thm)],[344,34,theory(equality)]) ).
cnf(604,negated_conjecture,
$false,
inference(sr,[status(thm)],[602,32,theory(equality)]) ).
cnf(605,negated_conjecture,
$false,
604,
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% /home/graph/tptp/Systems/SInE---0.4/Source/sine.py:10: DeprecationWarning: the sets module is deprecated
% from sets import Set
% % SZS status Started for /home/graph/tptp/TPTP/Problems/SET/SET653+3.p
% --creating new selector for []
% -running prover on /tmp/tmpXuAWOz/sel_SET653+3.p_1 with time limit 29
% -prover status Theorem
% Problem SET653+3.p solved in phase 0.
% % SZS status Theorem for /home/graph/tptp/TPTP/Problems/SET/SET653+3.p
% % SZS status Ended for /home/graph/tptp/TPTP/Problems/SET/SET653+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
%
%------------------------------------------------------------------------------