%------------------------------------------------------------------------------
% File : SInE---0.4
% Problem : SET667+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 03:09:08 EST 2010
% Result : Theorem 0.19s
% Output : CNFRefutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 21
% Number of leaves : 10
% Syntax : Number of formulae : 117 ( 12 unt; 0 def)
% Number of atoms : 499 ( 16 equ)
% Maximal formula atoms : 18 ( 4 avg)
% Number of connectives : 642 ( 260 ~; 292 |; 53 &)
% ( 3 <=>; 34 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 6 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 16 ( 16 usr; 6 con; 0-3 aty)
% Number of variables : 251 ( 13 sgn 113 !; 10 ?)
% Comments :
%------------------------------------------------------------------------------
fof(2,axiom,
! [X1] :
( ilf_type(X1,set_type)
=> ! [X2] :
( ilf_type(X2,set_type)
=> ! [X3] :
( ilf_type(X3,subset_type(cross_product(X1,X2)))
=> relation_like(X3) ) ) ),
file('/tmp/tmpctibIq/sel_SET667+3.p_1',p24) ).
fof(3,axiom,
! [X1] :
( ilf_type(X1,set_type)
=> ! [X2] :
( ilf_type(X2,set_type)
=> ! [X3] :
( ilf_type(X3,relation_type(X1,X2))
=> domain(X1,X2,X3) = domain_of(X3) ) ) ),
file('/tmp/tmpctibIq/sel_SET667+3.p_1',p27) ).
fof(9,axiom,
! [X1] :
( ilf_type(X1,set_type)
=> ! [X2] :
( ilf_type(X2,set_type)
=> ! [X3] :
( ilf_type(X3,relation_type(X1,X2))
=> range(X1,X2,X3) = range_of(X3) ) ) ),
file('/tmp/tmpctibIq/sel_SET667+3.p_1',p29) ).
fof(11,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,X2))
=> ( subset(identity_relation_of(X3),X4)
=> ( subset(X3,domain(X1,X2,X4))
& subset(X3,range(X1,X2,X4)) ) ) ) ) ) ),
file('/tmp/tmpctibIq/sel_SET667+3.p_1',prove_relset_1_30) ).
fof(15,axiom,
! [X1] :
( ilf_type(X1,set_type)
=> ( ilf_type(X1,binary_relation_type)
<=> ( relation_like(X1)
& ilf_type(X1,set_type) ) ) ),
file('/tmp/tmpctibIq/sel_SET667+3.p_1',p13) ).
fof(23,axiom,
! [X1] : ilf_type(X1,set_type),
file('/tmp/tmpctibIq/sel_SET667+3.p_1',p31) ).
fof(24,axiom,
! [X1] :
( ilf_type(X1,set_type)
=> ! [X2] :
( ilf_type(X2,set_type)
=> ( member(X2,X1)
<=> member(ordered_pair(X2,X2),identity_relation_of(X1)) ) ) ),
file('/tmp/tmpctibIq/sel_SET667+3.p_1',p2) ).
fof(26,axiom,
! [X1] :
( ilf_type(X1,set_type)
=> ! [X2] :
( ilf_type(X2,set_type)
=> ! [X3] :
( ilf_type(X3,binary_relation_type)
=> ( member(ordered_pair(X1,X2),X3)
=> ( member(X1,domain_of(X3))
& member(X2,range_of(X3)) ) ) ) ) ),
file('/tmp/tmpctibIq/sel_SET667+3.p_1',p1) ).
fof(28,axiom,
! [X1] :
( ilf_type(X1,set_type)
=> ! [X2] :
( ilf_type(X2,set_type)
=> ( subset(X1,X2)
<=> ! [X3] :
( ilf_type(X3,set_type)
=> ( member(X3,X1)
=> member(X3,X2) ) ) ) ) ),
file('/tmp/tmpctibIq/sel_SET667+3.p_1',p7) ).
fof(30,axiom,
! [X1] :
( ilf_type(X1,set_type)
=> ! [X2] :
( ilf_type(X2,set_type)
=> ( ! [X3] :
( ilf_type(X3,subset_type(cross_product(X1,X2)))
=> ilf_type(X3,relation_type(X1,X2)) )
& ! [X4] :
( ilf_type(X4,relation_type(X1,X2))
=> ilf_type(X4,subset_type(cross_product(X1,X2))) ) ) ) ),
file('/tmp/tmpctibIq/sel_SET667+3.p_1',p5) ).
fof(33,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,X2))
=> ( subset(identity_relation_of(X3),X4)
=> ( subset(X3,domain(X1,X2,X4))
& subset(X3,range(X1,X2,X4)) ) ) ) ) ) ),
inference(assume_negation,[status(cth)],[11]) ).
fof(46,plain,
! [X1] :
( ~ ilf_type(X1,set_type)
| ! [X2] :
( ~ ilf_type(X2,set_type)
| ! [X3] :
( ~ ilf_type(X3,subset_type(cross_product(X1,X2)))
| relation_like(X3) ) ) ),
inference(fof_nnf,[status(thm)],[2]) ).
fof(47,plain,
! [X4] :
( ~ ilf_type(X4,set_type)
| ! [X5] :
( ~ ilf_type(X5,set_type)
| ! [X6] :
( ~ ilf_type(X6,subset_type(cross_product(X4,X5)))
| relation_like(X6) ) ) ),
inference(variable_rename,[status(thm)],[46]) ).
fof(48,plain,
! [X4,X5,X6] :
( ~ ilf_type(X6,subset_type(cross_product(X4,X5)))
| relation_like(X6)
| ~ ilf_type(X5,set_type)
| ~ ilf_type(X4,set_type) ),
inference(shift_quantors,[status(thm)],[47]) ).
cnf(49,plain,
( relation_like(X3)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X3,subset_type(cross_product(X1,X2))) ),
inference(split_conjunct,[status(thm)],[48]) ).
fof(50,plain,
! [X1] :
( ~ ilf_type(X1,set_type)
| ! [X2] :
( ~ ilf_type(X2,set_type)
| ! [X3] :
( ~ ilf_type(X3,relation_type(X1,X2))
| domain(X1,X2,X3) = domain_of(X3) ) ) ),
inference(fof_nnf,[status(thm)],[3]) ).
fof(51,plain,
! [X4] :
( ~ ilf_type(X4,set_type)
| ! [X5] :
( ~ ilf_type(X5,set_type)
| ! [X6] :
( ~ ilf_type(X6,relation_type(X4,X5))
| domain(X4,X5,X6) = domain_of(X6) ) ) ),
inference(variable_rename,[status(thm)],[50]) ).
fof(52,plain,
! [X4,X5,X6] :
( ~ ilf_type(X6,relation_type(X4,X5))
| domain(X4,X5,X6) = domain_of(X6)
| ~ ilf_type(X5,set_type)
| ~ ilf_type(X4,set_type) ),
inference(shift_quantors,[status(thm)],[51]) ).
cnf(53,plain,
( domain(X1,X2,X3) = domain_of(X3)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X3,relation_type(X1,X2)) ),
inference(split_conjunct,[status(thm)],[52]) ).
fof(83,plain,
! [X1] :
( ~ ilf_type(X1,set_type)
| ! [X2] :
( ~ ilf_type(X2,set_type)
| ! [X3] :
( ~ ilf_type(X3,relation_type(X1,X2))
| range(X1,X2,X3) = range_of(X3) ) ) ),
inference(fof_nnf,[status(thm)],[9]) ).
fof(84,plain,
! [X4] :
( ~ ilf_type(X4,set_type)
| ! [X5] :
( ~ ilf_type(X5,set_type)
| ! [X6] :
( ~ ilf_type(X6,relation_type(X4,X5))
| range(X4,X5,X6) = range_of(X6) ) ) ),
inference(variable_rename,[status(thm)],[83]) ).
fof(85,plain,
! [X4,X5,X6] :
( ~ ilf_type(X6,relation_type(X4,X5))
| range(X4,X5,X6) = range_of(X6)
| ~ ilf_type(X5,set_type)
| ~ ilf_type(X4,set_type) ),
inference(shift_quantors,[status(thm)],[84]) ).
cnf(86,plain,
( range(X1,X2,X3) = range_of(X3)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X3,relation_type(X1,X2)) ),
inference(split_conjunct,[status(thm)],[85]) ).
fof(91,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,X2))
& subset(identity_relation_of(X3),X4)
& ( ~ subset(X3,domain(X1,X2,X4))
| ~ subset(X3,range(X1,X2,X4)) ) ) ) ) ),
inference(fof_nnf,[status(thm)],[33]) ).
fof(92,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,X6))
& subset(identity_relation_of(X7),X8)
& ( ~ subset(X7,domain(X5,X6,X8))
| ~ subset(X7,range(X5,X6,X8)) ) ) ) ) ),
inference(variable_rename,[status(thm)],[91]) ).
fof(93,negated_conjecture,
( ilf_type(esk6_0,set_type)
& ilf_type(esk7_0,set_type)
& ilf_type(esk8_0,set_type)
& ilf_type(esk9_0,relation_type(esk6_0,esk7_0))
& subset(identity_relation_of(esk8_0),esk9_0)
& ( ~ subset(esk8_0,domain(esk6_0,esk7_0,esk9_0))
| ~ subset(esk8_0,range(esk6_0,esk7_0,esk9_0)) ) ),
inference(skolemize,[status(esa)],[92]) ).
cnf(94,negated_conjecture,
( ~ subset(esk8_0,range(esk6_0,esk7_0,esk9_0))
| ~ subset(esk8_0,domain(esk6_0,esk7_0,esk9_0)) ),
inference(split_conjunct,[status(thm)],[93]) ).
cnf(95,negated_conjecture,
subset(identity_relation_of(esk8_0),esk9_0),
inference(split_conjunct,[status(thm)],[93]) ).
cnf(96,negated_conjecture,
ilf_type(esk9_0,relation_type(esk6_0,esk7_0)),
inference(split_conjunct,[status(thm)],[93]) ).
fof(111,plain,
! [X1] :
( ~ ilf_type(X1,set_type)
| ( ( ~ ilf_type(X1,binary_relation_type)
| ( relation_like(X1)
& ilf_type(X1,set_type) ) )
& ( ~ relation_like(X1)
| ~ ilf_type(X1,set_type)
| ilf_type(X1,binary_relation_type) ) ) ),
inference(fof_nnf,[status(thm)],[15]) ).
fof(112,plain,
! [X2] :
( ~ ilf_type(X2,set_type)
| ( ( ~ ilf_type(X2,binary_relation_type)
| ( relation_like(X2)
& ilf_type(X2,set_type) ) )
& ( ~ relation_like(X2)
| ~ ilf_type(X2,set_type)
| ilf_type(X2,binary_relation_type) ) ) ),
inference(variable_rename,[status(thm)],[111]) ).
fof(113,plain,
! [X2] :
( ( relation_like(X2)
| ~ ilf_type(X2,binary_relation_type)
| ~ ilf_type(X2,set_type) )
& ( ilf_type(X2,set_type)
| ~ ilf_type(X2,binary_relation_type)
| ~ ilf_type(X2,set_type) )
& ( ~ relation_like(X2)
| ~ ilf_type(X2,set_type)
| ilf_type(X2,binary_relation_type)
| ~ ilf_type(X2,set_type) ) ),
inference(distribute,[status(thm)],[112]) ).
cnf(114,plain,
( ilf_type(X1,binary_relation_type)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X1,set_type)
| ~ relation_like(X1) ),
inference(split_conjunct,[status(thm)],[113]) ).
fof(149,plain,
! [X2] : ilf_type(X2,set_type),
inference(variable_rename,[status(thm)],[23]) ).
cnf(150,plain,
ilf_type(X1,set_type),
inference(split_conjunct,[status(thm)],[149]) ).
fof(151,plain,
! [X1] :
( ~ ilf_type(X1,set_type)
| ! [X2] :
( ~ ilf_type(X2,set_type)
| ( ( ~ member(X2,X1)
| member(ordered_pair(X2,X2),identity_relation_of(X1)) )
& ( ~ member(ordered_pair(X2,X2),identity_relation_of(X1))
| member(X2,X1) ) ) ) ),
inference(fof_nnf,[status(thm)],[24]) ).
fof(152,plain,
! [X3] :
( ~ ilf_type(X3,set_type)
| ! [X4] :
( ~ ilf_type(X4,set_type)
| ( ( ~ member(X4,X3)
| member(ordered_pair(X4,X4),identity_relation_of(X3)) )
& ( ~ member(ordered_pair(X4,X4),identity_relation_of(X3))
| member(X4,X3) ) ) ) ),
inference(variable_rename,[status(thm)],[151]) ).
fof(153,plain,
! [X3,X4] :
( ~ ilf_type(X4,set_type)
| ( ( ~ member(X4,X3)
| member(ordered_pair(X4,X4),identity_relation_of(X3)) )
& ( ~ member(ordered_pair(X4,X4),identity_relation_of(X3))
| member(X4,X3) ) )
| ~ ilf_type(X3,set_type) ),
inference(shift_quantors,[status(thm)],[152]) ).
fof(154,plain,
! [X3,X4] :
( ( ~ member(X4,X3)
| member(ordered_pair(X4,X4),identity_relation_of(X3))
| ~ ilf_type(X4,set_type)
| ~ ilf_type(X3,set_type) )
& ( ~ member(ordered_pair(X4,X4),identity_relation_of(X3))
| member(X4,X3)
| ~ ilf_type(X4,set_type)
| ~ ilf_type(X3,set_type) ) ),
inference(distribute,[status(thm)],[153]) ).
cnf(156,plain,
( member(ordered_pair(X2,X2),identity_relation_of(X1))
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X2,set_type)
| ~ member(X2,X1) ),
inference(split_conjunct,[status(thm)],[154]) ).
fof(164,plain,
! [X1] :
( ~ ilf_type(X1,set_type)
| ! [X2] :
( ~ ilf_type(X2,set_type)
| ! [X3] :
( ~ ilf_type(X3,binary_relation_type)
| ~ member(ordered_pair(X1,X2),X3)
| ( member(X1,domain_of(X3))
& member(X2,range_of(X3)) ) ) ) ),
inference(fof_nnf,[status(thm)],[26]) ).
fof(165,plain,
! [X4] :
( ~ ilf_type(X4,set_type)
| ! [X5] :
( ~ ilf_type(X5,set_type)
| ! [X6] :
( ~ ilf_type(X6,binary_relation_type)
| ~ member(ordered_pair(X4,X5),X6)
| ( member(X4,domain_of(X6))
& member(X5,range_of(X6)) ) ) ) ),
inference(variable_rename,[status(thm)],[164]) ).
fof(166,plain,
! [X4,X5,X6] :
( ~ ilf_type(X6,binary_relation_type)
| ~ member(ordered_pair(X4,X5),X6)
| ( member(X4,domain_of(X6))
& member(X5,range_of(X6)) )
| ~ ilf_type(X5,set_type)
| ~ ilf_type(X4,set_type) ),
inference(shift_quantors,[status(thm)],[165]) ).
fof(167,plain,
! [X4,X5,X6] :
( ( member(X4,domain_of(X6))
| ~ member(ordered_pair(X4,X5),X6)
| ~ ilf_type(X6,binary_relation_type)
| ~ ilf_type(X5,set_type)
| ~ ilf_type(X4,set_type) )
& ( member(X5,range_of(X6))
| ~ member(ordered_pair(X4,X5),X6)
| ~ ilf_type(X6,binary_relation_type)
| ~ ilf_type(X5,set_type)
| ~ ilf_type(X4,set_type) ) ),
inference(distribute,[status(thm)],[166]) ).
cnf(168,plain,
( member(X2,range_of(X3))
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X3,binary_relation_type)
| ~ member(ordered_pair(X1,X2),X3) ),
inference(split_conjunct,[status(thm)],[167]) ).
cnf(169,plain,
( member(X1,domain_of(X3))
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X3,binary_relation_type)
| ~ member(ordered_pair(X1,X2),X3) ),
inference(split_conjunct,[status(thm)],[167]) ).
fof(175,plain,
! [X1] :
( ~ ilf_type(X1,set_type)
| ! [X2] :
( ~ ilf_type(X2,set_type)
| ( ( ~ subset(X1,X2)
| ! [X3] :
( ~ ilf_type(X3,set_type)
| ~ member(X3,X1)
| member(X3,X2) ) )
& ( ? [X3] :
( ilf_type(X3,set_type)
& member(X3,X1)
& ~ member(X3,X2) )
| subset(X1,X2) ) ) ) ),
inference(fof_nnf,[status(thm)],[28]) ).
fof(176,plain,
! [X4] :
( ~ ilf_type(X4,set_type)
| ! [X5] :
( ~ ilf_type(X5,set_type)
| ( ( ~ subset(X4,X5)
| ! [X6] :
( ~ ilf_type(X6,set_type)
| ~ member(X6,X4)
| member(X6,X5) ) )
& ( ? [X7] :
( ilf_type(X7,set_type)
& member(X7,X4)
& ~ member(X7,X5) )
| subset(X4,X5) ) ) ) ),
inference(variable_rename,[status(thm)],[175]) ).
fof(177,plain,
! [X4] :
( ~ ilf_type(X4,set_type)
| ! [X5] :
( ~ ilf_type(X5,set_type)
| ( ( ~ subset(X4,X5)
| ! [X6] :
( ~ ilf_type(X6,set_type)
| ~ member(X6,X4)
| member(X6,X5) ) )
& ( ( ilf_type(esk14_2(X4,X5),set_type)
& member(esk14_2(X4,X5),X4)
& ~ member(esk14_2(X4,X5),X5) )
| subset(X4,X5) ) ) ) ),
inference(skolemize,[status(esa)],[176]) ).
fof(178,plain,
! [X4,X5,X6] :
( ( ( ~ ilf_type(X6,set_type)
| ~ member(X6,X4)
| member(X6,X5)
| ~ subset(X4,X5) )
& ( ( ilf_type(esk14_2(X4,X5),set_type)
& member(esk14_2(X4,X5),X4)
& ~ member(esk14_2(X4,X5),X5) )
| subset(X4,X5) ) )
| ~ ilf_type(X5,set_type)
| ~ ilf_type(X4,set_type) ),
inference(shift_quantors,[status(thm)],[177]) ).
fof(179,plain,
! [X4,X5,X6] :
( ( ~ ilf_type(X6,set_type)
| ~ member(X6,X4)
| member(X6,X5)
| ~ subset(X4,X5)
| ~ ilf_type(X5,set_type)
| ~ ilf_type(X4,set_type) )
& ( ilf_type(esk14_2(X4,X5),set_type)
| subset(X4,X5)
| ~ ilf_type(X5,set_type)
| ~ ilf_type(X4,set_type) )
& ( member(esk14_2(X4,X5),X4)
| subset(X4,X5)
| ~ ilf_type(X5,set_type)
| ~ ilf_type(X4,set_type) )
& ( ~ member(esk14_2(X4,X5),X5)
| subset(X4,X5)
| ~ ilf_type(X5,set_type)
| ~ ilf_type(X4,set_type) ) ),
inference(distribute,[status(thm)],[178]) ).
cnf(180,plain,
( subset(X1,X2)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X2,set_type)
| ~ member(esk14_2(X1,X2),X2) ),
inference(split_conjunct,[status(thm)],[179]) ).
cnf(181,plain,
( subset(X1,X2)
| member(esk14_2(X1,X2),X1)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X2,set_type) ),
inference(split_conjunct,[status(thm)],[179]) ).
cnf(183,plain,
( member(X3,X2)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X2,set_type)
| ~ subset(X1,X2)
| ~ member(X3,X1)
| ~ ilf_type(X3,set_type) ),
inference(split_conjunct,[status(thm)],[179]) ).
fof(187,plain,
! [X1] :
( ~ ilf_type(X1,set_type)
| ! [X2] :
( ~ ilf_type(X2,set_type)
| ( ! [X3] :
( ~ ilf_type(X3,subset_type(cross_product(X1,X2)))
| ilf_type(X3,relation_type(X1,X2)) )
& ! [X4] :
( ~ ilf_type(X4,relation_type(X1,X2))
| ilf_type(X4,subset_type(cross_product(X1,X2))) ) ) ) ),
inference(fof_nnf,[status(thm)],[30]) ).
fof(188,plain,
! [X5] :
( ~ ilf_type(X5,set_type)
| ! [X6] :
( ~ ilf_type(X6,set_type)
| ( ! [X7] :
( ~ ilf_type(X7,subset_type(cross_product(X5,X6)))
| ilf_type(X7,relation_type(X5,X6)) )
& ! [X8] :
( ~ ilf_type(X8,relation_type(X5,X6))
| ilf_type(X8,subset_type(cross_product(X5,X6))) ) ) ) ),
inference(variable_rename,[status(thm)],[187]) ).
fof(189,plain,
! [X5,X6,X7,X8] :
( ( ( ~ ilf_type(X8,relation_type(X5,X6))
| ilf_type(X8,subset_type(cross_product(X5,X6))) )
& ( ~ ilf_type(X7,subset_type(cross_product(X5,X6)))
| ilf_type(X7,relation_type(X5,X6)) ) )
| ~ ilf_type(X6,set_type)
| ~ ilf_type(X5,set_type) ),
inference(shift_quantors,[status(thm)],[188]) ).
fof(190,plain,
! [X5,X6,X7,X8] :
( ( ~ ilf_type(X8,relation_type(X5,X6))
| ilf_type(X8,subset_type(cross_product(X5,X6)))
| ~ ilf_type(X6,set_type)
| ~ ilf_type(X5,set_type) )
& ( ~ ilf_type(X7,subset_type(cross_product(X5,X6)))
| ilf_type(X7,relation_type(X5,X6))
| ~ ilf_type(X6,set_type)
| ~ ilf_type(X5,set_type) ) ),
inference(distribute,[status(thm)],[189]) ).
cnf(192,plain,
( ilf_type(X3,subset_type(cross_product(X1,X2)))
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X3,relation_type(X1,X2)) ),
inference(split_conjunct,[status(thm)],[190]) ).
cnf(225,plain,
( ilf_type(X1,binary_relation_type)
| ~ relation_like(X1)
| $false ),
inference(rw,[status(thm)],[114,150,theory(equality)]) ).
cnf(226,plain,
( ilf_type(X1,binary_relation_type)
| ~ relation_like(X1) ),
inference(cn,[status(thm)],[225,theory(equality)]) ).
cnf(266,plain,
( relation_like(X3)
| $false
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X3,subset_type(cross_product(X1,X2))) ),
inference(rw,[status(thm)],[49,150,theory(equality)]) ).
cnf(267,plain,
( relation_like(X3)
| $false
| $false
| ~ ilf_type(X3,subset_type(cross_product(X1,X2))) ),
inference(rw,[status(thm)],[266,150,theory(equality)]) ).
cnf(268,plain,
( relation_like(X3)
| ~ ilf_type(X3,subset_type(cross_product(X1,X2))) ),
inference(cn,[status(thm)],[267,theory(equality)]) ).
cnf(270,plain,
( subset(X1,X2)
| $false
| ~ ilf_type(X1,set_type)
| ~ member(esk14_2(X1,X2),X2) ),
inference(rw,[status(thm)],[180,150,theory(equality)]) ).
cnf(271,plain,
( subset(X1,X2)
| $false
| $false
| ~ member(esk14_2(X1,X2),X2) ),
inference(rw,[status(thm)],[270,150,theory(equality)]) ).
cnf(272,plain,
( subset(X1,X2)
| ~ member(esk14_2(X1,X2),X2) ),
inference(cn,[status(thm)],[271,theory(equality)]) ).
cnf(296,plain,
( subset(X1,X2)
| member(esk14_2(X1,X2),X1)
| $false
| ~ ilf_type(X1,set_type) ),
inference(rw,[status(thm)],[181,150,theory(equality)]) ).
cnf(297,plain,
( subset(X1,X2)
| member(esk14_2(X1,X2),X1)
| $false
| $false ),
inference(rw,[status(thm)],[296,150,theory(equality)]) ).
cnf(298,plain,
( subset(X1,X2)
| member(esk14_2(X1,X2),X1) ),
inference(cn,[status(thm)],[297,theory(equality)]) ).
cnf(325,plain,
( member(ordered_pair(X2,X2),identity_relation_of(X1))
| ~ member(X2,X1)
| $false
| ~ ilf_type(X1,set_type) ),
inference(rw,[status(thm)],[156,150,theory(equality)]) ).
cnf(326,plain,
( member(ordered_pair(X2,X2),identity_relation_of(X1))
| ~ member(X2,X1)
| $false
| $false ),
inference(rw,[status(thm)],[325,150,theory(equality)]) ).
cnf(327,plain,
( member(ordered_pair(X2,X2),identity_relation_of(X1))
| ~ member(X2,X1) ),
inference(cn,[status(thm)],[326,theory(equality)]) ).
cnf(330,plain,
( domain(X1,X2,X3) = domain_of(X3)
| $false
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X3,relation_type(X1,X2)) ),
inference(rw,[status(thm)],[53,150,theory(equality)]) ).
cnf(331,plain,
( domain(X1,X2,X3) = domain_of(X3)
| $false
| $false
| ~ ilf_type(X3,relation_type(X1,X2)) ),
inference(rw,[status(thm)],[330,150,theory(equality)]) ).
cnf(332,plain,
( domain(X1,X2,X3) = domain_of(X3)
| ~ ilf_type(X3,relation_type(X1,X2)) ),
inference(cn,[status(thm)],[331,theory(equality)]) ).
cnf(333,plain,
( range(X1,X2,X3) = range_of(X3)
| $false
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X3,relation_type(X1,X2)) ),
inference(rw,[status(thm)],[86,150,theory(equality)]) ).
cnf(334,plain,
( range(X1,X2,X3) = range_of(X3)
| $false
| $false
| ~ ilf_type(X3,relation_type(X1,X2)) ),
inference(rw,[status(thm)],[333,150,theory(equality)]) ).
cnf(335,plain,
( range(X1,X2,X3) = range_of(X3)
| ~ ilf_type(X3,relation_type(X1,X2)) ),
inference(cn,[status(thm)],[334,theory(equality)]) ).
cnf(336,negated_conjecture,
( ~ subset(esk8_0,domain(esk6_0,esk7_0,esk9_0))
| ~ subset(esk8_0,range_of(esk9_0))
| ~ ilf_type(esk9_0,relation_type(esk6_0,esk7_0)) ),
inference(spm,[status(thm)],[94,335,theory(equality)]) ).
cnf(337,negated_conjecture,
( ~ subset(esk8_0,domain(esk6_0,esk7_0,esk9_0))
| ~ subset(esk8_0,range_of(esk9_0))
| $false ),
inference(rw,[status(thm)],[336,96,theory(equality)]) ).
cnf(338,negated_conjecture,
( ~ subset(esk8_0,domain(esk6_0,esk7_0,esk9_0))
| ~ subset(esk8_0,range_of(esk9_0)) ),
inference(cn,[status(thm)],[337,theory(equality)]) ).
cnf(339,plain,
( ilf_type(X3,subset_type(cross_product(X1,X2)))
| $false
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X3,relation_type(X1,X2)) ),
inference(rw,[status(thm)],[192,150,theory(equality)]) ).
cnf(340,plain,
( ilf_type(X3,subset_type(cross_product(X1,X2)))
| $false
| $false
| ~ ilf_type(X3,relation_type(X1,X2)) ),
inference(rw,[status(thm)],[339,150,theory(equality)]) ).
cnf(341,plain,
( ilf_type(X3,subset_type(cross_product(X1,X2)))
| ~ ilf_type(X3,relation_type(X1,X2)) ),
inference(cn,[status(thm)],[340,theory(equality)]) ).
cnf(342,plain,
( relation_like(X1)
| ~ ilf_type(X1,relation_type(X2,X3)) ),
inference(spm,[status(thm)],[268,341,theory(equality)]) ).
cnf(349,plain,
( member(X3,X2)
| ~ member(X3,X1)
| ~ subset(X1,X2)
| $false
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X1,set_type) ),
inference(rw,[status(thm)],[183,150,theory(equality)]) ).
cnf(350,plain,
( member(X3,X2)
| ~ member(X3,X1)
| ~ subset(X1,X2)
| $false
| $false
| ~ ilf_type(X1,set_type) ),
inference(rw,[status(thm)],[349,150,theory(equality)]) ).
cnf(351,plain,
( member(X3,X2)
| ~ member(X3,X1)
| ~ subset(X1,X2)
| $false
| $false
| $false ),
inference(rw,[status(thm)],[350,150,theory(equality)]) ).
cnf(352,plain,
( member(X3,X2)
| ~ member(X3,X1)
| ~ subset(X1,X2) ),
inference(cn,[status(thm)],[351,theory(equality)]) ).
cnf(353,negated_conjecture,
( member(X1,esk9_0)
| ~ member(X1,identity_relation_of(esk8_0)) ),
inference(spm,[status(thm)],[352,95,theory(equality)]) ).
cnf(384,plain,
( member(X2,range_of(X3))
| ~ ilf_type(X3,binary_relation_type)
| $false
| ~ ilf_type(X1,set_type)
| ~ member(ordered_pair(X1,X2),X3) ),
inference(rw,[status(thm)],[168,150,theory(equality)]) ).
cnf(385,plain,
( member(X2,range_of(X3))
| ~ ilf_type(X3,binary_relation_type)
| $false
| $false
| ~ member(ordered_pair(X1,X2),X3) ),
inference(rw,[status(thm)],[384,150,theory(equality)]) ).
cnf(386,plain,
( member(X2,range_of(X3))
| ~ ilf_type(X3,binary_relation_type)
| ~ member(ordered_pair(X1,X2),X3) ),
inference(cn,[status(thm)],[385,theory(equality)]) ).
cnf(390,plain,
( member(X1,domain_of(X3))
| ~ ilf_type(X3,binary_relation_type)
| $false
| ~ ilf_type(X1,set_type)
| ~ member(ordered_pair(X1,X2),X3) ),
inference(rw,[status(thm)],[169,150,theory(equality)]) ).
cnf(391,plain,
( member(X1,domain_of(X3))
| ~ ilf_type(X3,binary_relation_type)
| $false
| $false
| ~ member(ordered_pair(X1,X2),X3) ),
inference(rw,[status(thm)],[390,150,theory(equality)]) ).
cnf(392,plain,
( member(X1,domain_of(X3))
| ~ ilf_type(X3,binary_relation_type)
| ~ member(ordered_pair(X1,X2),X3) ),
inference(cn,[status(thm)],[391,theory(equality)]) ).
cnf(426,negated_conjecture,
( ~ subset(esk8_0,domain_of(esk9_0))
| ~ subset(esk8_0,range_of(esk9_0))
| ~ ilf_type(esk9_0,relation_type(esk6_0,esk7_0)) ),
inference(spm,[status(thm)],[338,332,theory(equality)]) ).
cnf(427,negated_conjecture,
( ~ subset(esk8_0,domain_of(esk9_0))
| ~ subset(esk8_0,range_of(esk9_0))
| $false ),
inference(rw,[status(thm)],[426,96,theory(equality)]) ).
cnf(428,negated_conjecture,
( ~ subset(esk8_0,domain_of(esk9_0))
| ~ subset(esk8_0,range_of(esk9_0)) ),
inference(cn,[status(thm)],[427,theory(equality)]) ).
cnf(437,negated_conjecture,
( member(ordered_pair(X1,X1),esk9_0)
| ~ member(X1,esk8_0) ),
inference(spm,[status(thm)],[353,327,theory(equality)]) ).
cnf(467,negated_conjecture,
relation_like(esk9_0),
inference(spm,[status(thm)],[342,96,theory(equality)]) ).
cnf(471,negated_conjecture,
ilf_type(esk9_0,binary_relation_type),
inference(spm,[status(thm)],[226,467,theory(equality)]) ).
cnf(521,negated_conjecture,
( member(X1,range_of(esk9_0))
| ~ ilf_type(esk9_0,binary_relation_type)
| ~ member(X1,esk8_0) ),
inference(spm,[status(thm)],[386,437,theory(equality)]) ).
cnf(522,negated_conjecture,
( member(X1,domain_of(esk9_0))
| ~ ilf_type(esk9_0,binary_relation_type)
| ~ member(X1,esk8_0) ),
inference(spm,[status(thm)],[392,437,theory(equality)]) ).
cnf(523,negated_conjecture,
( member(X1,range_of(esk9_0))
| $false
| ~ member(X1,esk8_0) ),
inference(rw,[status(thm)],[521,471,theory(equality)]) ).
cnf(524,negated_conjecture,
( member(X1,range_of(esk9_0))
| ~ member(X1,esk8_0) ),
inference(cn,[status(thm)],[523,theory(equality)]) ).
cnf(525,negated_conjecture,
( member(X1,domain_of(esk9_0))
| $false
| ~ member(X1,esk8_0) ),
inference(rw,[status(thm)],[522,471,theory(equality)]) ).
cnf(526,negated_conjecture,
( member(X1,domain_of(esk9_0))
| ~ member(X1,esk8_0) ),
inference(cn,[status(thm)],[525,theory(equality)]) ).
cnf(530,negated_conjecture,
( subset(X1,range_of(esk9_0))
| ~ member(esk14_2(X1,range_of(esk9_0)),esk8_0) ),
inference(spm,[status(thm)],[272,524,theory(equality)]) ).
cnf(536,negated_conjecture,
( subset(X1,domain_of(esk9_0))
| ~ member(esk14_2(X1,domain_of(esk9_0)),esk8_0) ),
inference(spm,[status(thm)],[272,526,theory(equality)]) ).
cnf(541,negated_conjecture,
subset(esk8_0,range_of(esk9_0)),
inference(spm,[status(thm)],[530,298,theory(equality)]) ).
cnf(543,negated_conjecture,
( ~ subset(esk8_0,domain_of(esk9_0))
| $false ),
inference(rw,[status(thm)],[428,541,theory(equality)]) ).
cnf(544,negated_conjecture,
~ subset(esk8_0,domain_of(esk9_0)),
inference(cn,[status(thm)],[543,theory(equality)]) ).
cnf(562,negated_conjecture,
subset(esk8_0,domain_of(esk9_0)),
inference(spm,[status(thm)],[536,298,theory(equality)]) ).
cnf(563,negated_conjecture,
$false,
inference(sr,[status(thm)],[562,544,theory(equality)]) ).
cnf(564,negated_conjecture,
$false,
563,
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% % SZS status Started for /home/graph/tptp/TPTP/Problems/SET/SET667+3.p
% --creating new selector for []
% -running prover on /tmp/tmpctibIq/sel_SET667+3.p_1 with time limit 29
% -prover status Theorem
% Problem SET667+3.p solved in phase 0.
% % SZS status Theorem for /home/graph/tptp/TPTP/Problems/SET/SET667+3.p
% % SZS status Ended for /home/graph/tptp/TPTP/Problems/SET/SET667+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
%
%------------------------------------------------------------------------------