%------------------------------------------------------------------------------
% File : SInE---0.4
% Problem : SEU241+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 06:11:00 EST 2010
% Result : Theorem 0.19s
% Output : CNFRefutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 32
% Number of leaves : 6
% Syntax : Number of formulae : 91 ( 14 unt; 0 def)
% Number of atoms : 387 ( 48 equ)
% Maximal formula atoms : 22 ( 4 avg)
% Number of connectives : 486 ( 190 ~; 226 |; 57 &)
% ( 4 <=>; 9 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 3 con; 0-2 aty)
% Number of variables : 138 ( 6 sgn 64 !; 10 ?)
% Comments :
%------------------------------------------------------------------------------
fof(2,axiom,
! [X1,X2] : unordered_pair(X1,X2) = unordered_pair(X2,X1),
file('/tmp/tmp7nmboE/sel_SEU241+1.p_1',commutativity_k2_tarski) ).
fof(5,axiom,
! [X1,X2,X3] :
( relation(X3)
=> ( in(ordered_pair(X1,X2),X3)
=> ( in(X1,relation_field(X3))
& in(X2,relation_field(X3)) ) ) ),
file('/tmp/tmp7nmboE/sel_SEU241+1.p_1',t30_relat_1) ).
fof(7,conjecture,
! [X1] :
( relation(X1)
=> ( antisymmetric(X1)
<=> ! [X2,X3] :
( ( in(ordered_pair(X2,X3),X1)
& in(ordered_pair(X3,X2),X1) )
=> X2 = X3 ) ) ),
file('/tmp/tmp7nmboE/sel_SEU241+1.p_1',l3_wellord1) ).
fof(19,axiom,
! [X1] :
( relation(X1)
=> ( antisymmetric(X1)
<=> is_antisymmetric_in(X1,relation_field(X1)) ) ),
file('/tmp/tmp7nmboE/sel_SEU241+1.p_1',d12_relat_2) ).
fof(21,axiom,
! [X1] :
( relation(X1)
=> ! [X2] :
( is_antisymmetric_in(X1,X2)
<=> ! [X3,X4] :
( ( in(X3,X2)
& in(X4,X2)
& in(ordered_pair(X3,X4),X1)
& in(ordered_pair(X4,X3),X1) )
=> X3 = X4 ) ) ),
file('/tmp/tmp7nmboE/sel_SEU241+1.p_1',d4_relat_2) ).
fof(28,axiom,
! [X1,X2] : ordered_pair(X1,X2) = unordered_pair(unordered_pair(X1,X2),singleton(X1)),
file('/tmp/tmp7nmboE/sel_SEU241+1.p_1',d5_tarski) ).
fof(38,negated_conjecture,
~ ! [X1] :
( relation(X1)
=> ( antisymmetric(X1)
<=> ! [X2,X3] :
( ( in(ordered_pair(X2,X3),X1)
& in(ordered_pair(X3,X2),X1) )
=> X2 = X3 ) ) ),
inference(assume_negation,[status(cth)],[7]) ).
fof(46,plain,
! [X3,X4] : unordered_pair(X3,X4) = unordered_pair(X4,X3),
inference(variable_rename,[status(thm)],[2]) ).
cnf(47,plain,
unordered_pair(X1,X2) = unordered_pair(X2,X1),
inference(split_conjunct,[status(thm)],[46]) ).
fof(54,plain,
! [X1,X2,X3] :
( ~ relation(X3)
| ~ in(ordered_pair(X1,X2),X3)
| ( in(X1,relation_field(X3))
& in(X2,relation_field(X3)) ) ),
inference(fof_nnf,[status(thm)],[5]) ).
fof(55,plain,
! [X4,X5,X6] :
( ~ relation(X6)
| ~ in(ordered_pair(X4,X5),X6)
| ( in(X4,relation_field(X6))
& in(X5,relation_field(X6)) ) ),
inference(variable_rename,[status(thm)],[54]) ).
fof(56,plain,
! [X4,X5,X6] :
( ( in(X4,relation_field(X6))
| ~ in(ordered_pair(X4,X5),X6)
| ~ relation(X6) )
& ( in(X5,relation_field(X6))
| ~ in(ordered_pair(X4,X5),X6)
| ~ relation(X6) ) ),
inference(distribute,[status(thm)],[55]) ).
cnf(57,plain,
( in(X3,relation_field(X1))
| ~ relation(X1)
| ~ in(ordered_pair(X2,X3),X1) ),
inference(split_conjunct,[status(thm)],[56]) ).
cnf(58,plain,
( in(X2,relation_field(X1))
| ~ relation(X1)
| ~ in(ordered_pair(X2,X3),X1) ),
inference(split_conjunct,[status(thm)],[56]) ).
fof(62,negated_conjecture,
? [X1] :
( relation(X1)
& ( ~ antisymmetric(X1)
| ? [X2,X3] :
( in(ordered_pair(X2,X3),X1)
& in(ordered_pair(X3,X2),X1)
& X2 != X3 ) )
& ( antisymmetric(X1)
| ! [X2,X3] :
( ~ in(ordered_pair(X2,X3),X1)
| ~ in(ordered_pair(X3,X2),X1)
| X2 = X3 ) ) ),
inference(fof_nnf,[status(thm)],[38]) ).
fof(63,negated_conjecture,
? [X4] :
( relation(X4)
& ( ~ antisymmetric(X4)
| ? [X5,X6] :
( in(ordered_pair(X5,X6),X4)
& in(ordered_pair(X6,X5),X4)
& X5 != X6 ) )
& ( antisymmetric(X4)
| ! [X7,X8] :
( ~ in(ordered_pair(X7,X8),X4)
| ~ in(ordered_pair(X8,X7),X4)
| X7 = X8 ) ) ),
inference(variable_rename,[status(thm)],[62]) ).
fof(64,negated_conjecture,
( relation(esk2_0)
& ( ~ antisymmetric(esk2_0)
| ( in(ordered_pair(esk3_0,esk4_0),esk2_0)
& in(ordered_pair(esk4_0,esk3_0),esk2_0)
& esk3_0 != esk4_0 ) )
& ( antisymmetric(esk2_0)
| ! [X7,X8] :
( ~ in(ordered_pair(X7,X8),esk2_0)
| ~ in(ordered_pair(X8,X7),esk2_0)
| X7 = X8 ) ) ),
inference(skolemize,[status(esa)],[63]) ).
fof(65,negated_conjecture,
! [X7,X8] :
( ( ~ in(ordered_pair(X7,X8),esk2_0)
| ~ in(ordered_pair(X8,X7),esk2_0)
| X7 = X8
| antisymmetric(esk2_0) )
& ( ~ antisymmetric(esk2_0)
| ( in(ordered_pair(esk3_0,esk4_0),esk2_0)
& in(ordered_pair(esk4_0,esk3_0),esk2_0)
& esk3_0 != esk4_0 ) )
& relation(esk2_0) ),
inference(shift_quantors,[status(thm)],[64]) ).
fof(66,negated_conjecture,
! [X7,X8] :
( ( ~ in(ordered_pair(X7,X8),esk2_0)
| ~ in(ordered_pair(X8,X7),esk2_0)
| X7 = X8
| antisymmetric(esk2_0) )
& ( in(ordered_pair(esk3_0,esk4_0),esk2_0)
| ~ antisymmetric(esk2_0) )
& ( in(ordered_pair(esk4_0,esk3_0),esk2_0)
| ~ antisymmetric(esk2_0) )
& ( esk3_0 != esk4_0
| ~ antisymmetric(esk2_0) )
& relation(esk2_0) ),
inference(distribute,[status(thm)],[65]) ).
cnf(67,negated_conjecture,
relation(esk2_0),
inference(split_conjunct,[status(thm)],[66]) ).
cnf(68,negated_conjecture,
( ~ antisymmetric(esk2_0)
| esk3_0 != esk4_0 ),
inference(split_conjunct,[status(thm)],[66]) ).
cnf(69,negated_conjecture,
( in(ordered_pair(esk4_0,esk3_0),esk2_0)
| ~ antisymmetric(esk2_0) ),
inference(split_conjunct,[status(thm)],[66]) ).
cnf(70,negated_conjecture,
( in(ordered_pair(esk3_0,esk4_0),esk2_0)
| ~ antisymmetric(esk2_0) ),
inference(split_conjunct,[status(thm)],[66]) ).
cnf(71,negated_conjecture,
( antisymmetric(esk2_0)
| X1 = X2
| ~ in(ordered_pair(X2,X1),esk2_0)
| ~ in(ordered_pair(X1,X2),esk2_0) ),
inference(split_conjunct,[status(thm)],[66]) ).
fof(104,plain,
! [X1] :
( ~ relation(X1)
| ( ( ~ antisymmetric(X1)
| is_antisymmetric_in(X1,relation_field(X1)) )
& ( ~ is_antisymmetric_in(X1,relation_field(X1))
| antisymmetric(X1) ) ) ),
inference(fof_nnf,[status(thm)],[19]) ).
fof(105,plain,
! [X2] :
( ~ relation(X2)
| ( ( ~ antisymmetric(X2)
| is_antisymmetric_in(X2,relation_field(X2)) )
& ( ~ is_antisymmetric_in(X2,relation_field(X2))
| antisymmetric(X2) ) ) ),
inference(variable_rename,[status(thm)],[104]) ).
fof(106,plain,
! [X2] :
( ( ~ antisymmetric(X2)
| is_antisymmetric_in(X2,relation_field(X2))
| ~ relation(X2) )
& ( ~ is_antisymmetric_in(X2,relation_field(X2))
| antisymmetric(X2)
| ~ relation(X2) ) ),
inference(distribute,[status(thm)],[105]) ).
cnf(107,plain,
( antisymmetric(X1)
| ~ relation(X1)
| ~ is_antisymmetric_in(X1,relation_field(X1)) ),
inference(split_conjunct,[status(thm)],[106]) ).
cnf(108,plain,
( is_antisymmetric_in(X1,relation_field(X1))
| ~ relation(X1)
| ~ antisymmetric(X1) ),
inference(split_conjunct,[status(thm)],[106]) ).
fof(110,plain,
! [X1] :
( ~ relation(X1)
| ! [X2] :
( ( ~ is_antisymmetric_in(X1,X2)
| ! [X3,X4] :
( ~ in(X3,X2)
| ~ in(X4,X2)
| ~ in(ordered_pair(X3,X4),X1)
| ~ in(ordered_pair(X4,X3),X1)
| X3 = X4 ) )
& ( ? [X3,X4] :
( in(X3,X2)
& in(X4,X2)
& in(ordered_pair(X3,X4),X1)
& in(ordered_pair(X4,X3),X1)
& X3 != X4 )
| is_antisymmetric_in(X1,X2) ) ) ),
inference(fof_nnf,[status(thm)],[21]) ).
fof(111,plain,
! [X5] :
( ~ relation(X5)
| ! [X6] :
( ( ~ is_antisymmetric_in(X5,X6)
| ! [X7,X8] :
( ~ in(X7,X6)
| ~ in(X8,X6)
| ~ in(ordered_pair(X7,X8),X5)
| ~ in(ordered_pair(X8,X7),X5)
| X7 = X8 ) )
& ( ? [X9,X10] :
( in(X9,X6)
& in(X10,X6)
& in(ordered_pair(X9,X10),X5)
& in(ordered_pair(X10,X9),X5)
& X9 != X10 )
| is_antisymmetric_in(X5,X6) ) ) ),
inference(variable_rename,[status(thm)],[110]) ).
fof(112,plain,
! [X5] :
( ~ relation(X5)
| ! [X6] :
( ( ~ is_antisymmetric_in(X5,X6)
| ! [X7,X8] :
( ~ in(X7,X6)
| ~ in(X8,X6)
| ~ in(ordered_pair(X7,X8),X5)
| ~ in(ordered_pair(X8,X7),X5)
| X7 = X8 ) )
& ( ( in(esk7_2(X5,X6),X6)
& in(esk8_2(X5,X6),X6)
& in(ordered_pair(esk7_2(X5,X6),esk8_2(X5,X6)),X5)
& in(ordered_pair(esk8_2(X5,X6),esk7_2(X5,X6)),X5)
& esk7_2(X5,X6) != esk8_2(X5,X6) )
| is_antisymmetric_in(X5,X6) ) ) ),
inference(skolemize,[status(esa)],[111]) ).
fof(113,plain,
! [X5,X6,X7,X8] :
( ( ( ~ in(X7,X6)
| ~ in(X8,X6)
| ~ in(ordered_pair(X7,X8),X5)
| ~ in(ordered_pair(X8,X7),X5)
| X7 = X8
| ~ is_antisymmetric_in(X5,X6) )
& ( ( in(esk7_2(X5,X6),X6)
& in(esk8_2(X5,X6),X6)
& in(ordered_pair(esk7_2(X5,X6),esk8_2(X5,X6)),X5)
& in(ordered_pair(esk8_2(X5,X6),esk7_2(X5,X6)),X5)
& esk7_2(X5,X6) != esk8_2(X5,X6) )
| is_antisymmetric_in(X5,X6) ) )
| ~ relation(X5) ),
inference(shift_quantors,[status(thm)],[112]) ).
fof(114,plain,
! [X5,X6,X7,X8] :
( ( ~ in(X7,X6)
| ~ in(X8,X6)
| ~ in(ordered_pair(X7,X8),X5)
| ~ in(ordered_pair(X8,X7),X5)
| X7 = X8
| ~ is_antisymmetric_in(X5,X6)
| ~ relation(X5) )
& ( in(esk7_2(X5,X6),X6)
| is_antisymmetric_in(X5,X6)
| ~ relation(X5) )
& ( in(esk8_2(X5,X6),X6)
| is_antisymmetric_in(X5,X6)
| ~ relation(X5) )
& ( in(ordered_pair(esk7_2(X5,X6),esk8_2(X5,X6)),X5)
| is_antisymmetric_in(X5,X6)
| ~ relation(X5) )
& ( in(ordered_pair(esk8_2(X5,X6),esk7_2(X5,X6)),X5)
| is_antisymmetric_in(X5,X6)
| ~ relation(X5) )
& ( esk7_2(X5,X6) != esk8_2(X5,X6)
| is_antisymmetric_in(X5,X6)
| ~ relation(X5) ) ),
inference(distribute,[status(thm)],[113]) ).
cnf(115,plain,
( is_antisymmetric_in(X1,X2)
| ~ relation(X1)
| esk7_2(X1,X2) != esk8_2(X1,X2) ),
inference(split_conjunct,[status(thm)],[114]) ).
cnf(116,plain,
( is_antisymmetric_in(X1,X2)
| in(ordered_pair(esk8_2(X1,X2),esk7_2(X1,X2)),X1)
| ~ relation(X1) ),
inference(split_conjunct,[status(thm)],[114]) ).
cnf(117,plain,
( is_antisymmetric_in(X1,X2)
| in(ordered_pair(esk7_2(X1,X2),esk8_2(X1,X2)),X1)
| ~ relation(X1) ),
inference(split_conjunct,[status(thm)],[114]) ).
cnf(120,plain,
( X3 = X4
| ~ relation(X1)
| ~ is_antisymmetric_in(X1,X2)
| ~ in(ordered_pair(X4,X3),X1)
| ~ in(ordered_pair(X3,X4),X1)
| ~ in(X4,X2)
| ~ in(X3,X2) ),
inference(split_conjunct,[status(thm)],[114]) ).
fof(130,plain,
! [X3,X4] : ordered_pair(X3,X4) = unordered_pair(unordered_pair(X3,X4),singleton(X3)),
inference(variable_rename,[status(thm)],[28]) ).
cnf(131,plain,
ordered_pair(X1,X2) = unordered_pair(unordered_pair(X1,X2),singleton(X1)),
inference(split_conjunct,[status(thm)],[130]) ).
cnf(156,negated_conjecture,
( in(unordered_pair(unordered_pair(esk3_0,esk4_0),singleton(esk3_0)),esk2_0)
| ~ antisymmetric(esk2_0) ),
inference(rw,[status(thm)],[70,131,theory(equality)]),
[unfolding] ).
cnf(157,negated_conjecture,
( in(unordered_pair(unordered_pair(esk4_0,esk3_0),singleton(esk4_0)),esk2_0)
| ~ antisymmetric(esk2_0) ),
inference(rw,[status(thm)],[69,131,theory(equality)]),
[unfolding] ).
cnf(158,plain,
( is_antisymmetric_in(X1,X2)
| in(unordered_pair(unordered_pair(esk7_2(X1,X2),esk8_2(X1,X2)),singleton(esk7_2(X1,X2))),X1)
| ~ relation(X1) ),
inference(rw,[status(thm)],[117,131,theory(equality)]),
[unfolding] ).
cnf(159,plain,
( is_antisymmetric_in(X1,X2)
| in(unordered_pair(unordered_pair(esk8_2(X1,X2),esk7_2(X1,X2)),singleton(esk8_2(X1,X2))),X1)
| ~ relation(X1) ),
inference(rw,[status(thm)],[116,131,theory(equality)]),
[unfolding] ).
cnf(160,plain,
( in(X3,relation_field(X1))
| ~ relation(X1)
| ~ in(unordered_pair(unordered_pair(X2,X3),singleton(X2)),X1) ),
inference(rw,[status(thm)],[57,131,theory(equality)]),
[unfolding] ).
cnf(161,plain,
( in(X2,relation_field(X1))
| ~ relation(X1)
| ~ in(unordered_pair(unordered_pair(X2,X3),singleton(X2)),X1) ),
inference(rw,[status(thm)],[58,131,theory(equality)]),
[unfolding] ).
cnf(162,negated_conjecture,
( X1 = X2
| antisymmetric(esk2_0)
| ~ in(unordered_pair(unordered_pair(X2,X1),singleton(X2)),esk2_0)
| ~ in(unordered_pair(unordered_pair(X1,X2),singleton(X1)),esk2_0) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[71,131,theory(equality)]),131,theory(equality)]),
[unfolding] ).
cnf(163,plain,
( X3 = X4
| ~ relation(X1)
| ~ in(X4,X2)
| ~ in(X3,X2)
| ~ is_antisymmetric_in(X1,X2)
| ~ in(unordered_pair(unordered_pair(X4,X3),singleton(X4)),X1)
| ~ in(unordered_pair(unordered_pair(X3,X4),singleton(X3)),X1) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[120,131,theory(equality)]),131,theory(equality)]),
[unfolding] ).
cnf(171,negated_conjecture,
( in(unordered_pair(unordered_pair(esk3_0,esk4_0),singleton(esk4_0)),esk2_0)
| ~ antisymmetric(esk2_0) ),
inference(rw,[status(thm)],[157,47,theory(equality)]) ).
cnf(208,negated_conjecture,
( in(esk4_0,relation_field(esk2_0))
| ~ relation(esk2_0)
| ~ antisymmetric(esk2_0) ),
inference(spm,[status(thm)],[160,156,theory(equality)]) ).
cnf(209,negated_conjecture,
( in(esk4_0,relation_field(esk2_0))
| $false
| ~ antisymmetric(esk2_0) ),
inference(rw,[status(thm)],[208,67,theory(equality)]) ).
cnf(210,negated_conjecture,
( in(esk4_0,relation_field(esk2_0))
| ~ antisymmetric(esk2_0) ),
inference(cn,[status(thm)],[209,theory(equality)]) ).
cnf(215,negated_conjecture,
( in(esk3_0,relation_field(esk2_0))
| ~ relation(esk2_0)
| ~ antisymmetric(esk2_0) ),
inference(spm,[status(thm)],[161,156,theory(equality)]) ).
cnf(216,negated_conjecture,
( in(esk3_0,relation_field(esk2_0))
| $false
| ~ antisymmetric(esk2_0) ),
inference(rw,[status(thm)],[215,67,theory(equality)]) ).
cnf(217,negated_conjecture,
( in(esk3_0,relation_field(esk2_0))
| ~ antisymmetric(esk2_0) ),
inference(cn,[status(thm)],[216,theory(equality)]) ).
cnf(219,negated_conjecture,
( X1 = X2
| antisymmetric(esk2_0)
| ~ in(unordered_pair(singleton(X2),unordered_pair(X2,X1)),esk2_0)
| ~ in(unordered_pair(unordered_pair(X1,X2),singleton(X1)),esk2_0) ),
inference(spm,[status(thm)],[162,47,theory(equality)]) ).
cnf(224,plain,
( is_antisymmetric_in(X1,X2)
| in(unordered_pair(singleton(esk7_2(X1,X2)),unordered_pair(esk7_2(X1,X2),esk8_2(X1,X2))),X1)
| ~ relation(X1) ),
inference(rw,[status(thm)],[158,47,theory(equality)]) ).
cnf(227,plain,
( is_antisymmetric_in(X1,X2)
| in(unordered_pair(singleton(esk8_2(X1,X2)),unordered_pair(esk7_2(X1,X2),esk8_2(X1,X2))),X1)
| ~ relation(X1) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[159,47,theory(equality)]),47,theory(equality)]) ).
cnf(234,negated_conjecture,
( esk4_0 = esk3_0
| ~ is_antisymmetric_in(esk2_0,X1)
| ~ in(unordered_pair(unordered_pair(esk4_0,esk3_0),singleton(esk4_0)),esk2_0)
| ~ in(esk3_0,X1)
| ~ in(esk4_0,X1)
| ~ relation(esk2_0)
| ~ antisymmetric(esk2_0) ),
inference(spm,[status(thm)],[163,156,theory(equality)]) ).
cnf(235,negated_conjecture,
( esk4_0 = esk3_0
| ~ is_antisymmetric_in(esk2_0,X1)
| ~ in(unordered_pair(unordered_pair(esk3_0,esk4_0),singleton(esk4_0)),esk2_0)
| ~ in(esk3_0,X1)
| ~ in(esk4_0,X1)
| ~ relation(esk2_0)
| ~ antisymmetric(esk2_0) ),
inference(rw,[status(thm)],[234,47,theory(equality)]) ).
cnf(236,negated_conjecture,
( esk4_0 = esk3_0
| ~ is_antisymmetric_in(esk2_0,X1)
| ~ in(unordered_pair(unordered_pair(esk3_0,esk4_0),singleton(esk4_0)),esk2_0)
| ~ in(esk3_0,X1)
| ~ in(esk4_0,X1)
| $false
| ~ antisymmetric(esk2_0) ),
inference(rw,[status(thm)],[235,67,theory(equality)]) ).
cnf(237,negated_conjecture,
( esk4_0 = esk3_0
| ~ is_antisymmetric_in(esk2_0,X1)
| ~ in(unordered_pair(unordered_pair(esk3_0,esk4_0),singleton(esk4_0)),esk2_0)
| ~ in(esk3_0,X1)
| ~ in(esk4_0,X1)
| ~ antisymmetric(esk2_0) ),
inference(cn,[status(thm)],[236,theory(equality)]) ).
cnf(308,negated_conjecture,
( esk4_0 = esk3_0
| ~ is_antisymmetric_in(esk2_0,X1)
| ~ antisymmetric(esk2_0)
| ~ in(esk3_0,X1)
| ~ in(esk4_0,X1) ),
inference(csr,[status(thm)],[237,171]) ).
cnf(309,negated_conjecture,
( ~ is_antisymmetric_in(esk2_0,X1)
| ~ antisymmetric(esk2_0)
| ~ in(esk3_0,X1)
| ~ in(esk4_0,X1) ),
inference(csr,[status(thm)],[308,68]) ).
cnf(360,negated_conjecture,
( esk8_2(esk2_0,X1) = esk7_2(esk2_0,X1)
| antisymmetric(esk2_0)
| is_antisymmetric_in(esk2_0,X1)
| ~ in(unordered_pair(unordered_pair(esk8_2(esk2_0,X1),esk7_2(esk2_0,X1)),singleton(esk8_2(esk2_0,X1))),esk2_0)
| ~ relation(esk2_0) ),
inference(spm,[status(thm)],[219,224,theory(equality)]) ).
cnf(361,negated_conjecture,
( esk8_2(esk2_0,X1) = esk7_2(esk2_0,X1)
| antisymmetric(esk2_0)
| is_antisymmetric_in(esk2_0,X1)
| ~ in(unordered_pair(singleton(esk8_2(esk2_0,X1)),unordered_pair(esk7_2(esk2_0,X1),esk8_2(esk2_0,X1))),esk2_0)
| ~ relation(esk2_0) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[360,47,theory(equality)]),47,theory(equality)]) ).
cnf(362,negated_conjecture,
( esk8_2(esk2_0,X1) = esk7_2(esk2_0,X1)
| antisymmetric(esk2_0)
| is_antisymmetric_in(esk2_0,X1)
| ~ in(unordered_pair(singleton(esk8_2(esk2_0,X1)),unordered_pair(esk7_2(esk2_0,X1),esk8_2(esk2_0,X1))),esk2_0)
| $false ),
inference(rw,[status(thm)],[361,67,theory(equality)]) ).
cnf(363,negated_conjecture,
( esk8_2(esk2_0,X1) = esk7_2(esk2_0,X1)
| antisymmetric(esk2_0)
| is_antisymmetric_in(esk2_0,X1)
| ~ in(unordered_pair(singleton(esk8_2(esk2_0,X1)),unordered_pair(esk7_2(esk2_0,X1),esk8_2(esk2_0,X1))),esk2_0) ),
inference(cn,[status(thm)],[362,theory(equality)]) ).
cnf(479,negated_conjecture,
( esk8_2(esk2_0,X1) = esk7_2(esk2_0,X1)
| is_antisymmetric_in(esk2_0,X1)
| antisymmetric(esk2_0)
| ~ relation(esk2_0) ),
inference(spm,[status(thm)],[363,227,theory(equality)]) ).
cnf(480,negated_conjecture,
( esk8_2(esk2_0,X1) = esk7_2(esk2_0,X1)
| is_antisymmetric_in(esk2_0,X1)
| antisymmetric(esk2_0)
| $false ),
inference(rw,[status(thm)],[479,67,theory(equality)]) ).
cnf(481,negated_conjecture,
( esk8_2(esk2_0,X1) = esk7_2(esk2_0,X1)
| is_antisymmetric_in(esk2_0,X1)
| antisymmetric(esk2_0) ),
inference(cn,[status(thm)],[480,theory(equality)]) ).
cnf(483,negated_conjecture,
( is_antisymmetric_in(esk2_0,X1)
| antisymmetric(esk2_0)
| ~ relation(esk2_0) ),
inference(spm,[status(thm)],[115,481,theory(equality)]) ).
cnf(493,negated_conjecture,
( is_antisymmetric_in(esk2_0,X1)
| antisymmetric(esk2_0)
| $false ),
inference(rw,[status(thm)],[483,67,theory(equality)]) ).
cnf(494,negated_conjecture,
( is_antisymmetric_in(esk2_0,X1)
| antisymmetric(esk2_0) ),
inference(cn,[status(thm)],[493,theory(equality)]) ).
cnf(512,negated_conjecture,
( antisymmetric(esk2_0)
| ~ relation(esk2_0) ),
inference(spm,[status(thm)],[107,494,theory(equality)]) ).
cnf(515,negated_conjecture,
( antisymmetric(esk2_0)
| $false ),
inference(rw,[status(thm)],[512,67,theory(equality)]) ).
cnf(516,negated_conjecture,
antisymmetric(esk2_0),
inference(cn,[status(thm)],[515,theory(equality)]) ).
cnf(522,negated_conjecture,
( ~ is_antisymmetric_in(esk2_0,X1)
| $false
| ~ in(esk3_0,X1)
| ~ in(esk4_0,X1) ),
inference(rw,[status(thm)],[309,516,theory(equality)]) ).
cnf(523,negated_conjecture,
( ~ is_antisymmetric_in(esk2_0,X1)
| ~ in(esk3_0,X1)
| ~ in(esk4_0,X1) ),
inference(cn,[status(thm)],[522,theory(equality)]) ).
cnf(532,negated_conjecture,
( in(esk3_0,relation_field(esk2_0))
| $false ),
inference(rw,[status(thm)],[217,516,theory(equality)]) ).
cnf(533,negated_conjecture,
in(esk3_0,relation_field(esk2_0)),
inference(cn,[status(thm)],[532,theory(equality)]) ).
cnf(534,negated_conjecture,
( in(esk4_0,relation_field(esk2_0))
| $false ),
inference(rw,[status(thm)],[210,516,theory(equality)]) ).
cnf(535,negated_conjecture,
in(esk4_0,relation_field(esk2_0)),
inference(cn,[status(thm)],[534,theory(equality)]) ).
cnf(549,negated_conjecture,
( ~ in(esk3_0,relation_field(esk2_0))
| ~ in(esk4_0,relation_field(esk2_0))
| ~ antisymmetric(esk2_0)
| ~ relation(esk2_0) ),
inference(spm,[status(thm)],[523,108,theory(equality)]) ).
cnf(552,negated_conjecture,
( $false
| ~ in(esk4_0,relation_field(esk2_0))
| ~ antisymmetric(esk2_0)
| ~ relation(esk2_0) ),
inference(rw,[status(thm)],[549,533,theory(equality)]) ).
cnf(553,negated_conjecture,
( $false
| ~ in(esk4_0,relation_field(esk2_0))
| $false
| ~ relation(esk2_0) ),
inference(rw,[status(thm)],[552,516,theory(equality)]) ).
cnf(554,negated_conjecture,
( $false
| ~ in(esk4_0,relation_field(esk2_0))
| $false
| $false ),
inference(rw,[status(thm)],[553,67,theory(equality)]) ).
cnf(555,negated_conjecture,
~ in(esk4_0,relation_field(esk2_0)),
inference(cn,[status(thm)],[554,theory(equality)]) ).
cnf(591,negated_conjecture,
$false,
inference(rw,[status(thm)],[555,535,theory(equality)]) ).
cnf(592,negated_conjecture,
$false,
inference(cn,[status(thm)],[591,theory(equality)]) ).
cnf(593,negated_conjecture,
$false,
592,
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% % SZS status Started for /home/graph/tptp/TPTP/Problems/SEU/SEU241+1.p
% --creating new selector for []
% -running prover on /tmp/tmp7nmboE/sel_SEU241+1.p_1 with time limit 29
% -prover status Theorem
% Problem SEU241+1.p solved in phase 0.
% % SZS status Theorem for /home/graph/tptp/TPTP/Problems/SEU/SEU241+1.p
% % SZS status Ended for /home/graph/tptp/TPTP/Problems/SEU/SEU241+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
%
%------------------------------------------------------------------------------