TSTP Solution File: SEU262+1 by SInE---0.4
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SInE---0.4
% Problem : SEU262+1 : TPTP v5.0.0. Released v3.3.0.
% 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 06:27:21 EST 2010
% Result : Theorem 102.56s
% Output : CNFRefutation 102.56s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 10
% Syntax : Number of formulae : 85 ( 13 unt; 0 def)
% Number of atoms : 330 ( 44 equ)
% Maximal formula atoms : 16 ( 3 avg)
% Number of connectives : 410 ( 165 ~; 177 |; 54 &)
% ( 7 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 7 ( 5 usr; 1 prp; 0-3 aty)
% Number of functors : 17 ( 17 usr; 3 con; 0-3 aty)
% Number of variables : 242 ( 15 sgn 128 !; 22 ?)
% Comments :
%------------------------------------------------------------------------------
fof(1,axiom,
! [X1] :
( relation(X1)
=> ! [X2] :
( X2 = relation_rng(X1)
<=> ! [X3] :
( in(X3,X2)
<=> ? [X4] : in(ordered_pair(X4,X3),X1) ) ) ),
file('/tmp/tmpmqyTxH/sel_SEU262+1.p_2',d5_relat_1) ).
fof(2,axiom,
! [X1,X2,X3] :
( element(X3,powerset(cartesian_product2(X1,X2)))
=> relation(X3) ),
file('/tmp/tmpmqyTxH/sel_SEU262+1.p_2',cc1_relset_1) ).
fof(5,conjecture,
! [X1,X2,X3] :
( relation_of2_as_subset(X3,X1,X2)
=> ( subset(relation_dom(X3),X1)
& subset(relation_rng(X3),X2) ) ),
file('/tmp/tmpmqyTxH/sel_SEU262+1.p_2',t12_relset_1) ).
fof(19,axiom,
! [X1,X2,X3] :
( relation_of2_as_subset(X3,X1,X2)
=> element(X3,powerset(cartesian_product2(X1,X2))) ),
file('/tmp/tmpmqyTxH/sel_SEU262+1.p_2',dt_m2_relset_1) ).
fof(20,axiom,
! [X1] :
( relation(X1)
=> ! [X2] :
( X2 = relation_dom(X1)
<=> ! [X3] :
( in(X3,X2)
<=> ? [X4] : in(ordered_pair(X3,X4),X1) ) ) ),
file('/tmp/tmpmqyTxH/sel_SEU262+1.p_2',d4_relat_1) ).
fof(24,axiom,
! [X1,X2,X3,X4] :
( in(ordered_pair(X1,X2),cartesian_product2(X3,X4))
<=> ( in(X1,X3)
& in(X2,X4) ) ),
file('/tmp/tmpmqyTxH/sel_SEU262+1.p_2',t106_zfmisc_1) ).
fof(25,axiom,
! [X1,X2] :
( element(X1,powerset(X2))
<=> subset(X1,X2) ),
file('/tmp/tmpmqyTxH/sel_SEU262+1.p_2',t3_subset) ).
fof(26,axiom,
! [X1,X2] : unordered_pair(X1,X2) = unordered_pair(X2,X1),
file('/tmp/tmpmqyTxH/sel_SEU262+1.p_2',commutativity_k2_tarski) ).
fof(29,axiom,
! [X1,X2] : ordered_pair(X1,X2) = unordered_pair(unordered_pair(X1,X2),singleton(X1)),
file('/tmp/tmpmqyTxH/sel_SEU262+1.p_2',d5_tarski) ).
fof(37,axiom,
! [X1,X2] :
( subset(X1,X2)
<=> ! [X3] :
( in(X3,X1)
=> in(X3,X2) ) ),
file('/tmp/tmpmqyTxH/sel_SEU262+1.p_2',d3_tarski) ).
fof(38,negated_conjecture,
~ ! [X1,X2,X3] :
( relation_of2_as_subset(X3,X1,X2)
=> ( subset(relation_dom(X3),X1)
& subset(relation_rng(X3),X2) ) ),
inference(assume_negation,[status(cth)],[5]) ).
fof(42,plain,
! [X1] :
( ~ relation(X1)
| ! [X2] :
( ( X2 != relation_rng(X1)
| ! [X3] :
( ( ~ in(X3,X2)
| ? [X4] : in(ordered_pair(X4,X3),X1) )
& ( ! [X4] : ~ in(ordered_pair(X4,X3),X1)
| in(X3,X2) ) ) )
& ( ? [X3] :
( ( ~ in(X3,X2)
| ! [X4] : ~ in(ordered_pair(X4,X3),X1) )
& ( in(X3,X2)
| ? [X4] : in(ordered_pair(X4,X3),X1) ) )
| X2 = relation_rng(X1) ) ) ),
inference(fof_nnf,[status(thm)],[1]) ).
fof(43,plain,
! [X5] :
( ~ relation(X5)
| ! [X6] :
( ( X6 != relation_rng(X5)
| ! [X7] :
( ( ~ in(X7,X6)
| ? [X8] : in(ordered_pair(X8,X7),X5) )
& ( ! [X9] : ~ in(ordered_pair(X9,X7),X5)
| in(X7,X6) ) ) )
& ( ? [X10] :
( ( ~ in(X10,X6)
| ! [X11] : ~ in(ordered_pair(X11,X10),X5) )
& ( in(X10,X6)
| ? [X12] : in(ordered_pair(X12,X10),X5) ) )
| X6 = relation_rng(X5) ) ) ),
inference(variable_rename,[status(thm)],[42]) ).
fof(44,plain,
! [X5] :
( ~ relation(X5)
| ! [X6] :
( ( X6 != relation_rng(X5)
| ! [X7] :
( ( ~ in(X7,X6)
| in(ordered_pair(esk1_3(X5,X6,X7),X7),X5) )
& ( ! [X9] : ~ in(ordered_pair(X9,X7),X5)
| in(X7,X6) ) ) )
& ( ( ( ~ in(esk2_2(X5,X6),X6)
| ! [X11] : ~ in(ordered_pair(X11,esk2_2(X5,X6)),X5) )
& ( in(esk2_2(X5,X6),X6)
| in(ordered_pair(esk3_2(X5,X6),esk2_2(X5,X6)),X5) ) )
| X6 = relation_rng(X5) ) ) ),
inference(skolemize,[status(esa)],[43]) ).
fof(45,plain,
! [X5,X6,X7,X9,X11] :
( ( ( ( ( ~ in(ordered_pair(X11,esk2_2(X5,X6)),X5)
| ~ in(esk2_2(X5,X6),X6) )
& ( in(esk2_2(X5,X6),X6)
| in(ordered_pair(esk3_2(X5,X6),esk2_2(X5,X6)),X5) ) )
| X6 = relation_rng(X5) )
& ( ( ( ~ in(ordered_pair(X9,X7),X5)
| in(X7,X6) )
& ( ~ in(X7,X6)
| in(ordered_pair(esk1_3(X5,X6,X7),X7),X5) ) )
| X6 != relation_rng(X5) ) )
| ~ relation(X5) ),
inference(shift_quantors,[status(thm)],[44]) ).
fof(46,plain,
! [X5,X6,X7,X9,X11] :
( ( ~ in(ordered_pair(X11,esk2_2(X5,X6)),X5)
| ~ in(esk2_2(X5,X6),X6)
| X6 = relation_rng(X5)
| ~ relation(X5) )
& ( in(esk2_2(X5,X6),X6)
| in(ordered_pair(esk3_2(X5,X6),esk2_2(X5,X6)),X5)
| X6 = relation_rng(X5)
| ~ relation(X5) )
& ( ~ in(ordered_pair(X9,X7),X5)
| in(X7,X6)
| X6 != relation_rng(X5)
| ~ relation(X5) )
& ( ~ in(X7,X6)
| in(ordered_pair(esk1_3(X5,X6,X7),X7),X5)
| X6 != relation_rng(X5)
| ~ relation(X5) ) ),
inference(distribute,[status(thm)],[45]) ).
cnf(47,plain,
( in(ordered_pair(esk1_3(X1,X2,X3),X3),X1)
| ~ relation(X1)
| X2 != relation_rng(X1)
| ~ in(X3,X2) ),
inference(split_conjunct,[status(thm)],[46]) ).
fof(51,plain,
! [X1,X2,X3] :
( ~ element(X3,powerset(cartesian_product2(X1,X2)))
| relation(X3) ),
inference(fof_nnf,[status(thm)],[2]) ).
fof(52,plain,
! [X4,X5,X6] :
( ~ element(X6,powerset(cartesian_product2(X4,X5)))
| relation(X6) ),
inference(variable_rename,[status(thm)],[51]) ).
cnf(53,plain,
( relation(X1)
| ~ element(X1,powerset(cartesian_product2(X2,X3))) ),
inference(split_conjunct,[status(thm)],[52]) ).
fof(60,negated_conjecture,
? [X1,X2,X3] :
( relation_of2_as_subset(X3,X1,X2)
& ( ~ subset(relation_dom(X3),X1)
| ~ subset(relation_rng(X3),X2) ) ),
inference(fof_nnf,[status(thm)],[38]) ).
fof(61,negated_conjecture,
? [X4,X5,X6] :
( relation_of2_as_subset(X6,X4,X5)
& ( ~ subset(relation_dom(X6),X4)
| ~ subset(relation_rng(X6),X5) ) ),
inference(variable_rename,[status(thm)],[60]) ).
fof(62,negated_conjecture,
( relation_of2_as_subset(esk7_0,esk5_0,esk6_0)
& ( ~ subset(relation_dom(esk7_0),esk5_0)
| ~ subset(relation_rng(esk7_0),esk6_0) ) ),
inference(skolemize,[status(esa)],[61]) ).
cnf(63,negated_conjecture,
( ~ subset(relation_rng(esk7_0),esk6_0)
| ~ subset(relation_dom(esk7_0),esk5_0) ),
inference(split_conjunct,[status(thm)],[62]) ).
cnf(64,negated_conjecture,
relation_of2_as_subset(esk7_0,esk5_0,esk6_0),
inference(split_conjunct,[status(thm)],[62]) ).
fof(95,plain,
! [X1,X2,X3] :
( ~ relation_of2_as_subset(X3,X1,X2)
| element(X3,powerset(cartesian_product2(X1,X2))) ),
inference(fof_nnf,[status(thm)],[19]) ).
fof(96,plain,
! [X4,X5,X6] :
( ~ relation_of2_as_subset(X6,X4,X5)
| element(X6,powerset(cartesian_product2(X4,X5))) ),
inference(variable_rename,[status(thm)],[95]) ).
cnf(97,plain,
( element(X1,powerset(cartesian_product2(X2,X3)))
| ~ relation_of2_as_subset(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[96]) ).
fof(98,plain,
! [X1] :
( ~ relation(X1)
| ! [X2] :
( ( X2 != relation_dom(X1)
| ! [X3] :
( ( ~ in(X3,X2)
| ? [X4] : in(ordered_pair(X3,X4),X1) )
& ( ! [X4] : ~ in(ordered_pair(X3,X4),X1)
| in(X3,X2) ) ) )
& ( ? [X3] :
( ( ~ in(X3,X2)
| ! [X4] : ~ in(ordered_pair(X3,X4),X1) )
& ( in(X3,X2)
| ? [X4] : in(ordered_pair(X3,X4),X1) ) )
| X2 = relation_dom(X1) ) ) ),
inference(fof_nnf,[status(thm)],[20]) ).
fof(99,plain,
! [X5] :
( ~ relation(X5)
| ! [X6] :
( ( X6 != relation_dom(X5)
| ! [X7] :
( ( ~ in(X7,X6)
| ? [X8] : in(ordered_pair(X7,X8),X5) )
& ( ! [X9] : ~ in(ordered_pair(X7,X9),X5)
| in(X7,X6) ) ) )
& ( ? [X10] :
( ( ~ in(X10,X6)
| ! [X11] : ~ in(ordered_pair(X10,X11),X5) )
& ( in(X10,X6)
| ? [X12] : in(ordered_pair(X10,X12),X5) ) )
| X6 = relation_dom(X5) ) ) ),
inference(variable_rename,[status(thm)],[98]) ).
fof(100,plain,
! [X5] :
( ~ relation(X5)
| ! [X6] :
( ( X6 != relation_dom(X5)
| ! [X7] :
( ( ~ in(X7,X6)
| in(ordered_pair(X7,esk10_3(X5,X6,X7)),X5) )
& ( ! [X9] : ~ in(ordered_pair(X7,X9),X5)
| in(X7,X6) ) ) )
& ( ( ( ~ in(esk11_2(X5,X6),X6)
| ! [X11] : ~ in(ordered_pair(esk11_2(X5,X6),X11),X5) )
& ( in(esk11_2(X5,X6),X6)
| in(ordered_pair(esk11_2(X5,X6),esk12_2(X5,X6)),X5) ) )
| X6 = relation_dom(X5) ) ) ),
inference(skolemize,[status(esa)],[99]) ).
fof(101,plain,
! [X5,X6,X7,X9,X11] :
( ( ( ( ( ~ in(ordered_pair(esk11_2(X5,X6),X11),X5)
| ~ in(esk11_2(X5,X6),X6) )
& ( in(esk11_2(X5,X6),X6)
| in(ordered_pair(esk11_2(X5,X6),esk12_2(X5,X6)),X5) ) )
| X6 = relation_dom(X5) )
& ( ( ( ~ in(ordered_pair(X7,X9),X5)
| in(X7,X6) )
& ( ~ in(X7,X6)
| in(ordered_pair(X7,esk10_3(X5,X6,X7)),X5) ) )
| X6 != relation_dom(X5) ) )
| ~ relation(X5) ),
inference(shift_quantors,[status(thm)],[100]) ).
fof(102,plain,
! [X5,X6,X7,X9,X11] :
( ( ~ in(ordered_pair(esk11_2(X5,X6),X11),X5)
| ~ in(esk11_2(X5,X6),X6)
| X6 = relation_dom(X5)
| ~ relation(X5) )
& ( in(esk11_2(X5,X6),X6)
| in(ordered_pair(esk11_2(X5,X6),esk12_2(X5,X6)),X5)
| X6 = relation_dom(X5)
| ~ relation(X5) )
& ( ~ in(ordered_pair(X7,X9),X5)
| in(X7,X6)
| X6 != relation_dom(X5)
| ~ relation(X5) )
& ( ~ in(X7,X6)
| in(ordered_pair(X7,esk10_3(X5,X6,X7)),X5)
| X6 != relation_dom(X5)
| ~ relation(X5) ) ),
inference(distribute,[status(thm)],[101]) ).
cnf(103,plain,
( in(ordered_pair(X3,esk10_3(X1,X2,X3)),X1)
| ~ relation(X1)
| X2 != relation_dom(X1)
| ~ in(X3,X2) ),
inference(split_conjunct,[status(thm)],[102]) ).
fof(112,plain,
! [X1,X2,X3,X4] :
( ( ~ in(ordered_pair(X1,X2),cartesian_product2(X3,X4))
| ( in(X1,X3)
& in(X2,X4) ) )
& ( ~ in(X1,X3)
| ~ in(X2,X4)
| in(ordered_pair(X1,X2),cartesian_product2(X3,X4)) ) ),
inference(fof_nnf,[status(thm)],[24]) ).
fof(113,plain,
! [X5,X6,X7,X8] :
( ( ~ in(ordered_pair(X5,X6),cartesian_product2(X7,X8))
| ( in(X5,X7)
& in(X6,X8) ) )
& ( ~ in(X5,X7)
| ~ in(X6,X8)
| in(ordered_pair(X5,X6),cartesian_product2(X7,X8)) ) ),
inference(variable_rename,[status(thm)],[112]) ).
fof(114,plain,
! [X5,X6,X7,X8] :
( ( in(X5,X7)
| ~ in(ordered_pair(X5,X6),cartesian_product2(X7,X8)) )
& ( in(X6,X8)
| ~ in(ordered_pair(X5,X6),cartesian_product2(X7,X8)) )
& ( ~ in(X5,X7)
| ~ in(X6,X8)
| in(ordered_pair(X5,X6),cartesian_product2(X7,X8)) ) ),
inference(distribute,[status(thm)],[113]) ).
cnf(116,plain,
( in(X2,X4)
| ~ in(ordered_pair(X1,X2),cartesian_product2(X3,X4)) ),
inference(split_conjunct,[status(thm)],[114]) ).
cnf(117,plain,
( in(X1,X3)
| ~ in(ordered_pair(X1,X2),cartesian_product2(X3,X4)) ),
inference(split_conjunct,[status(thm)],[114]) ).
fof(118,plain,
! [X1,X2] :
( ( ~ element(X1,powerset(X2))
| subset(X1,X2) )
& ( ~ subset(X1,X2)
| element(X1,powerset(X2)) ) ),
inference(fof_nnf,[status(thm)],[25]) ).
fof(119,plain,
! [X3,X4] :
( ( ~ element(X3,powerset(X4))
| subset(X3,X4) )
& ( ~ subset(X3,X4)
| element(X3,powerset(X4)) ) ),
inference(variable_rename,[status(thm)],[118]) ).
cnf(121,plain,
( subset(X1,X2)
| ~ element(X1,powerset(X2)) ),
inference(split_conjunct,[status(thm)],[119]) ).
fof(122,plain,
! [X3,X4] : unordered_pair(X3,X4) = unordered_pair(X4,X3),
inference(variable_rename,[status(thm)],[26]) ).
cnf(123,plain,
unordered_pair(X1,X2) = unordered_pair(X2,X1),
inference(split_conjunct,[status(thm)],[122]) ).
fof(126,plain,
! [X3,X4] : ordered_pair(X3,X4) = unordered_pair(unordered_pair(X3,X4),singleton(X3)),
inference(variable_rename,[status(thm)],[29]) ).
cnf(127,plain,
ordered_pair(X1,X2) = unordered_pair(unordered_pair(X1,X2),singleton(X1)),
inference(split_conjunct,[status(thm)],[126]) ).
fof(143,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)],[37]) ).
fof(144,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)],[143]) ).
fof(145,plain,
! [X4,X5] :
( ( ~ subset(X4,X5)
| ! [X6] :
( ~ in(X6,X4)
| in(X6,X5) ) )
& ( ( in(esk15_2(X4,X5),X4)
& ~ in(esk15_2(X4,X5),X5) )
| subset(X4,X5) ) ),
inference(skolemize,[status(esa)],[144]) ).
fof(146,plain,
! [X4,X5,X6] :
( ( ~ in(X6,X4)
| in(X6,X5)
| ~ subset(X4,X5) )
& ( ( in(esk15_2(X4,X5),X4)
& ~ in(esk15_2(X4,X5),X5) )
| subset(X4,X5) ) ),
inference(shift_quantors,[status(thm)],[145]) ).
fof(147,plain,
! [X4,X5,X6] :
( ( ~ in(X6,X4)
| in(X6,X5)
| ~ subset(X4,X5) )
& ( in(esk15_2(X4,X5),X4)
| subset(X4,X5) )
& ( ~ in(esk15_2(X4,X5),X5)
| subset(X4,X5) ) ),
inference(distribute,[status(thm)],[146]) ).
cnf(148,plain,
( subset(X1,X2)
| ~ in(esk15_2(X1,X2),X2) ),
inference(split_conjunct,[status(thm)],[147]) ).
cnf(149,plain,
( subset(X1,X2)
| in(esk15_2(X1,X2),X1) ),
inference(split_conjunct,[status(thm)],[147]) ).
cnf(150,plain,
( in(X3,X2)
| ~ subset(X1,X2)
| ~ in(X3,X1) ),
inference(split_conjunct,[status(thm)],[147]) ).
cnf(151,plain,
( in(X2,X4)
| ~ in(unordered_pair(unordered_pair(X1,X2),singleton(X1)),cartesian_product2(X3,X4)) ),
inference(rw,[status(thm)],[116,127,theory(equality)]),
[unfolding] ).
cnf(152,plain,
( in(X1,X3)
| ~ in(unordered_pair(unordered_pair(X1,X2),singleton(X1)),cartesian_product2(X3,X4)) ),
inference(rw,[status(thm)],[117,127,theory(equality)]),
[unfolding] ).
cnf(158,plain,
( in(unordered_pair(unordered_pair(X3,esk10_3(X1,X2,X3)),singleton(X3)),X1)
| relation_dom(X1) != X2
| ~ relation(X1)
| ~ in(X3,X2) ),
inference(rw,[status(thm)],[103,127,theory(equality)]),
[unfolding] ).
cnf(159,plain,
( in(unordered_pair(unordered_pair(esk1_3(X1,X2,X3),X3),singleton(esk1_3(X1,X2,X3))),X1)
| relation_rng(X1) != X2
| ~ relation(X1)
| ~ in(X3,X2) ),
inference(rw,[status(thm)],[47,127,theory(equality)]),
[unfolding] ).
cnf(182,plain,
( subset(X1,cartesian_product2(X2,X3))
| ~ relation_of2_as_subset(X1,X2,X3) ),
inference(spm,[status(thm)],[121,97,theory(equality)]) ).
cnf(184,plain,
( relation(X1)
| ~ relation_of2_as_subset(X1,X2,X3) ),
inference(spm,[status(thm)],[53,97,theory(equality)]) ).
cnf(197,plain,
( in(X1,X2)
| ~ in(unordered_pair(unordered_pair(X1,X3),singleton(X3)),cartesian_product2(X4,X2)) ),
inference(spm,[status(thm)],[151,123,theory(equality)]) ).
cnf(202,plain,
( in(X1,X2)
| ~ in(unordered_pair(singleton(X1),unordered_pair(X1,X3)),cartesian_product2(X2,X4)) ),
inference(spm,[status(thm)],[152,123,theory(equality)]) ).
cnf(223,plain,
( in(unordered_pair(singleton(X3),unordered_pair(X3,esk10_3(X1,X2,X3))),X1)
| relation_dom(X1) != X2
| ~ relation(X1)
| ~ in(X3,X2) ),
inference(rw,[status(thm)],[158,123,theory(equality)]) ).
cnf(232,plain,
( in(unordered_pair(unordered_pair(X3,esk1_3(X1,X2,X3)),singleton(esk1_3(X1,X2,X3))),X1)
| relation_rng(X1) != X2
| ~ relation(X1)
| ~ in(X3,X2) ),
inference(rw,[status(thm)],[159,123,theory(equality)]) ).
cnf(259,negated_conjecture,
relation(esk7_0),
inference(spm,[status(thm)],[184,64,theory(equality)]) ).
cnf(305,plain,
( in(X1,cartesian_product2(X2,X3))
| ~ in(X1,X4)
| ~ relation_of2_as_subset(X4,X2,X3) ),
inference(spm,[status(thm)],[150,182,theory(equality)]) ).
cnf(2623,negated_conjecture,
( in(X1,cartesian_product2(esk5_0,esk6_0))
| ~ in(X1,esk7_0) ),
inference(spm,[status(thm)],[305,64,theory(equality)]) ).
cnf(4153,negated_conjecture,
( in(X1,esk6_0)
| ~ in(unordered_pair(unordered_pair(X1,X2),singleton(X2)),esk7_0) ),
inference(spm,[status(thm)],[197,2623,theory(equality)]) ).
cnf(4157,negated_conjecture,
( in(X1,esk5_0)
| ~ in(unordered_pair(singleton(X1),unordered_pair(X1,X2)),esk7_0) ),
inference(spm,[status(thm)],[202,2623,theory(equality)]) ).
cnf(493105,negated_conjecture,
( in(X1,esk6_0)
| relation_rng(esk7_0) != X2
| ~ in(X1,X2)
| ~ relation(esk7_0) ),
inference(spm,[status(thm)],[4153,232,theory(equality)]) ).
cnf(493108,negated_conjecture,
( in(X1,esk6_0)
| relation_rng(esk7_0) != X2
| ~ in(X1,X2)
| $false ),
inference(rw,[status(thm)],[493105,259,theory(equality)]) ).
cnf(493109,negated_conjecture,
( in(X1,esk6_0)
| relation_rng(esk7_0) != X2
| ~ in(X1,X2) ),
inference(cn,[status(thm)],[493108,theory(equality)]) ).
cnf(493622,negated_conjecture,
( in(X1,esk5_0)
| relation_dom(esk7_0) != X2
| ~ in(X1,X2)
| ~ relation(esk7_0) ),
inference(spm,[status(thm)],[4157,223,theory(equality)]) ).
cnf(493628,negated_conjecture,
( in(X1,esk5_0)
| relation_dom(esk7_0) != X2
| ~ in(X1,X2)
| $false ),
inference(rw,[status(thm)],[493622,259,theory(equality)]) ).
cnf(493629,negated_conjecture,
( in(X1,esk5_0)
| relation_dom(esk7_0) != X2
| ~ in(X1,X2) ),
inference(cn,[status(thm)],[493628,theory(equality)]) ).
cnf(1518204,negated_conjecture,
( in(X1,esk6_0)
| ~ in(X1,relation_rng(esk7_0)) ),
inference(er,[status(thm)],[493109,theory(equality)]) ).
cnf(1518236,negated_conjecture,
( in(esk15_2(relation_rng(esk7_0),X1),esk6_0)
| subset(relation_rng(esk7_0),X1) ),
inference(spm,[status(thm)],[1518204,149,theory(equality)]) ).
cnf(1518464,negated_conjecture,
subset(relation_rng(esk7_0),esk6_0),
inference(spm,[status(thm)],[148,1518236,theory(equality)]) ).
cnf(1518511,negated_conjecture,
( $false
| ~ subset(relation_dom(esk7_0),esk5_0) ),
inference(rw,[status(thm)],[63,1518464,theory(equality)]) ).
cnf(1518512,negated_conjecture,
~ subset(relation_dom(esk7_0),esk5_0),
inference(cn,[status(thm)],[1518511,theory(equality)]) ).
cnf(1573305,negated_conjecture,
( in(X1,esk5_0)
| ~ in(X1,relation_dom(esk7_0)) ),
inference(er,[status(thm)],[493629,theory(equality)]) ).
cnf(1573343,negated_conjecture,
( in(esk15_2(relation_dom(esk7_0),X1),esk5_0)
| subset(relation_dom(esk7_0),X1) ),
inference(spm,[status(thm)],[1573305,149,theory(equality)]) ).
cnf(1573634,negated_conjecture,
subset(relation_dom(esk7_0),esk5_0),
inference(spm,[status(thm)],[148,1573343,theory(equality)]) ).
cnf(1573672,negated_conjecture,
$false,
inference(sr,[status(thm)],[1573634,1518512,theory(equality)]) ).
cnf(1573673,negated_conjecture,
$false,
1573672,
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% % SZS status Started for /home/graph/tptp/TPTP/Problems/SEU/SEU262+1.p
% --creating new selector for []
% eprover: CPU time limit exceeded, terminating
% -running prover on /tmp/tmpmqyTxH/sel_SEU262+1.p_1 with time limit 29
% -prover status ResourceOut
% -running prover on /tmp/tmpmqyTxH/sel_SEU262+1.p_2 with time limit 81
% -prover status Theorem
% Problem SEU262+1.p solved in phase 1.
% % SZS status Theorem for /home/graph/tptp/TPTP/Problems/SEU/SEU262+1.p
% % SZS status Ended for /home/graph/tptp/TPTP/Problems/SEU/SEU262+1.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
%
%------------------------------------------------------------------------------