TSTP Solution File: SET654+3 by SInE---0.4
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SInE---0.4
% Problem : SET654+3 : TPTP v5.0.0. Released v2.2.0.
% 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 : Sun Dec 26 03:07:47 EST 2010
% Result : Theorem 0.30s
% Output : CNFRefutation 0.30s
% 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 ( 6 sgn 53 !; 8 ?)
% Comments :
%------------------------------------------------------------------------------
fof(3,axiom,
! [X1] : ilf_type(X1,set_type),
file('/tmp/tmp-LLv0m/sel_SET654+3.p_1',p22) ).
fof(14,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/tmp-LLv0m/sel_SET654+3.p_1',p2) ).
fof(15,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(X3,X1))
=> ( subset(range_of(X4),X2)
=> ilf_type(X4,relation_type(X3,X2)) ) ) ) ) ),
file('/tmp/tmp-LLv0m/sel_SET654+3.p_1',p3) ).
fof(16,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/tmp-LLv0m/sel_SET654+3.p_1',p1) ).
fof(23,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(X3,X1))
=> ( subset(X1,X2)
=> ilf_type(X4,relation_type(X3,X2)) ) ) ) ) ),
file('/tmp/tmp-LLv0m/sel_SET654+3.p_1',prove_relset_1_16) ).
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(X3,X1))
=> ( subset(X1,X2)
=> ilf_type(X4,relation_type(X3,X2)) ) ) ) ) ),
inference(assume_negation,[status(cth)],[23]) ).
fof(37,plain,
! [X2] : ilf_type(X2,set_type),
inference(variable_rename,[status(thm)],[3]) ).
cnf(38,plain,
ilf_type(X1,set_type),
inference(split_conjunct,[status(thm)],[37]) ).
fof(98,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)],[14]) ).
fof(99,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)],[98]) ).
fof(100,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)],[99]) ).
fof(101,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)],[100]) ).
cnf(102,plain,
( subset(range_of(X3),X2)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X3,relation_type(X1,X2)) ),
inference(split_conjunct,[status(thm)],[101]) ).
fof(104,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(X3,X1))
| ~ subset(range_of(X4),X2)
| ilf_type(X4,relation_type(X3,X2)) ) ) ) ),
inference(fof_nnf,[status(thm)],[15]) ).
fof(105,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(X7,X5))
| ~ subset(range_of(X8),X6)
| ilf_type(X8,relation_type(X7,X6)) ) ) ) ),
inference(variable_rename,[status(thm)],[104]) ).
fof(106,plain,
! [X5,X6,X7,X8] :
( ~ ilf_type(X8,relation_type(X7,X5))
| ~ subset(range_of(X8),X6)
| ilf_type(X8,relation_type(X7,X6))
| ~ ilf_type(X7,set_type)
| ~ ilf_type(X6,set_type)
| ~ ilf_type(X5,set_type) ),
inference(shift_quantors,[status(thm)],[105]) ).
cnf(107,plain,
( ilf_type(X4,relation_type(X3,X2))
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X3,set_type)
| ~ subset(range_of(X4),X2)
| ~ ilf_type(X4,relation_type(X3,X1)) ),
inference(split_conjunct,[status(thm)],[106]) ).
fof(108,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)],[16]) ).
fof(109,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)],[108]) ).
fof(110,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)],[109]) ).
cnf(111,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)],[110]) ).
fof(142,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(X3,X1))
& subset(X1,X2)
& ~ ilf_type(X4,relation_type(X3,X2)) ) ) ) ),
inference(fof_nnf,[status(thm)],[24]) ).
fof(143,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(X7,X5))
& subset(X5,X6)
& ~ ilf_type(X8,relation_type(X7,X6)) ) ) ) ),
inference(variable_rename,[status(thm)],[142]) ).
fof(144,negated_conjecture,
( ilf_type(esk10_0,set_type)
& ilf_type(esk11_0,set_type)
& ilf_type(esk12_0,set_type)
& ilf_type(esk13_0,relation_type(esk12_0,esk10_0))
& subset(esk10_0,esk11_0)
& ~ ilf_type(esk13_0,relation_type(esk12_0,esk11_0)) ),
inference(skolemize,[status(esa)],[143]) ).
cnf(145,negated_conjecture,
~ ilf_type(esk13_0,relation_type(esk12_0,esk11_0)),
inference(split_conjunct,[status(thm)],[144]) ).
cnf(146,negated_conjecture,
subset(esk10_0,esk11_0),
inference(split_conjunct,[status(thm)],[144]) ).
cnf(147,negated_conjecture,
ilf_type(esk13_0,relation_type(esk12_0,esk10_0)),
inference(split_conjunct,[status(thm)],[144]) ).
cnf(215,plain,
( subset(range_of(X3),X2)
| $false
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X3,relation_type(X1,X2)) ),
inference(rw,[status(thm)],[102,38,theory(equality)]) ).
cnf(216,plain,
( subset(range_of(X3),X2)
| $false
| $false
| ~ ilf_type(X3,relation_type(X1,X2)) ),
inference(rw,[status(thm)],[215,38,theory(equality)]) ).
cnf(217,plain,
( subset(range_of(X3),X2)
| ~ ilf_type(X3,relation_type(X1,X2)) ),
inference(cn,[status(thm)],[216,theory(equality)]) ).
cnf(218,negated_conjecture,
subset(range_of(esk13_0),esk10_0),
inference(spm,[status(thm)],[217,147,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)],[111,38,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)],[225,38,theory(equality)]) ).
cnf(227,plain,
( subset(X1,X3)
| ~ subset(X2,X3)
| ~ subset(X1,X2)
| $false
| $false
| $false ),
inference(rw,[status(thm)],[226,38,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,esk11_0)
| ~ subset(X1,esk10_0) ),
inference(spm,[status(thm)],[228,146,theory(equality)]) ).
cnf(279,plain,
( ilf_type(X4,relation_type(X3,X2))
| $false
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X1,set_type)
| ~ subset(range_of(X4),X2)
| ~ ilf_type(X4,relation_type(X3,X1)) ),
inference(rw,[status(thm)],[107,38,theory(equality)]) ).
cnf(280,plain,
( ilf_type(X4,relation_type(X3,X2))
| $false
| $false
| ~ ilf_type(X1,set_type)
| ~ subset(range_of(X4),X2)
| ~ ilf_type(X4,relation_type(X3,X1)) ),
inference(rw,[status(thm)],[279,38,theory(equality)]) ).
cnf(281,plain,
( ilf_type(X4,relation_type(X3,X2))
| $false
| $false
| $false
| ~ subset(range_of(X4),X2)
| ~ ilf_type(X4,relation_type(X3,X1)) ),
inference(rw,[status(thm)],[280,38,theory(equality)]) ).
cnf(282,plain,
( ilf_type(X4,relation_type(X3,X2))
| ~ subset(range_of(X4),X2)
| ~ ilf_type(X4,relation_type(X3,X1)) ),
inference(cn,[status(thm)],[281,theory(equality)]) ).
cnf(321,negated_conjecture,
subset(range_of(esk13_0),esk11_0),
inference(spm,[status(thm)],[229,218,theory(equality)]) ).
cnf(343,negated_conjecture,
( ilf_type(esk13_0,relation_type(X1,esk11_0))
| ~ ilf_type(esk13_0,relation_type(X1,X2)) ),
inference(spm,[status(thm)],[282,321,theory(equality)]) ).
cnf(601,negated_conjecture,
ilf_type(esk13_0,relation_type(esk12_0,esk11_0)),
inference(spm,[status(thm)],[343,147,theory(equality)]) ).
cnf(603,negated_conjecture,
$false,
inference(sr,[status(thm)],[601,145,theory(equality)]) ).
cnf(604,negated_conjecture,
$false,
603,
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% % SZS status Started for /home/graph/tptp/TPTP/Problems/SET/SET654+3.p
% --creating new selector for []
% -running prover on /tmp/tmp-LLv0m/sel_SET654+3.p_1 with time limit 29
% -prover status Theorem
% Problem SET654+3.p solved in phase 0.
% % SZS status Theorem for /home/graph/tptp/TPTP/Problems/SET/SET654+3.p
% % SZS status Ended for /home/graph/tptp/TPTP/Problems/SET/SET654+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
%
%------------------------------------------------------------------------------