TSTP Solution File: SEU242+1 by SInE---0.4
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- Process Solution
%------------------------------------------------------------------------------
% File : SInE---0.4
% Problem : SEU242+1 : TPTP v5.0.0. Released v3.3.0.
% 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 06:15:38 EST 2010
% Result : Theorem 0.31s
% Output : CNFRefutation 0.31s
% Verified :
% SZS Type : Refutation
% Derivation depth : 36
% Number of leaves : 5
% Syntax : Number of formulae : 88 ( 16 unt; 0 def)
% Number of atoms : 418 ( 59 equ)
% Maximal formula atoms : 22 ( 4 avg)
% Number of connectives : 515 ( 185 ~; 240 |; 78 &)
% ( 6 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 5 avg)
% Maximal term depth : 5 ( 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 : 123 ( 0 sgn 59 !; 10 ?)
% Comments :
%------------------------------------------------------------------------------
fof(2,axiom,
! [X1] :
( relation(X1)
=> ! [X2] :
( is_connected_in(X1,X2)
<=> ! [X3,X4] :
~ ( in(X3,X2)
& in(X4,X2)
& X3 != X4
& ~ in(ordered_pair(X3,X4),X1)
& ~ in(ordered_pair(X4,X3),X1) ) ) ),
file('/tmp/tmpsy5a33/sel_SEU242+1.p_1',d6_relat_2) ).
fof(3,axiom,
! [X1,X2] : unordered_pair(X1,X2) = unordered_pair(X2,X1),
file('/tmp/tmpsy5a33/sel_SEU242+1.p_1',commutativity_k2_tarski) ).
fof(9,conjecture,
! [X1] :
( relation(X1)
=> ( connected(X1)
<=> ! [X2,X3] :
~ ( in(X2,relation_field(X1))
& in(X3,relation_field(X1))
& X2 != X3
& ~ in(ordered_pair(X2,X3),X1)
& ~ in(ordered_pair(X3,X2),X1) ) ) ),
file('/tmp/tmpsy5a33/sel_SEU242+1.p_1',l4_wellord1) ).
fof(27,axiom,
! [X1,X2] : ordered_pair(X1,X2) = unordered_pair(unordered_pair(X1,X2),singleton(X1)),
file('/tmp/tmpsy5a33/sel_SEU242+1.p_1',d5_tarski) ).
fof(34,axiom,
! [X1] :
( relation(X1)
=> ( connected(X1)
<=> is_connected_in(X1,relation_field(X1)) ) ),
file('/tmp/tmpsy5a33/sel_SEU242+1.p_1',d14_relat_2) ).
fof(37,negated_conjecture,
~ ! [X1] :
( relation(X1)
=> ( connected(X1)
<=> ! [X2,X3] :
~ ( in(X2,relation_field(X1))
& in(X3,relation_field(X1))
& X2 != X3
& ~ in(ordered_pair(X2,X3),X1)
& ~ in(ordered_pair(X3,X2),X1) ) ) ),
inference(assume_negation,[status(cth)],[9]) ).
fof(38,plain,
! [X1] :
( relation(X1)
=> ! [X2] :
( is_connected_in(X1,X2)
<=> ! [X3,X4] :
~ ( in(X3,X2)
& in(X4,X2)
& X3 != X4
& ~ in(ordered_pair(X3,X4),X1)
& ~ in(ordered_pair(X4,X3),X1) ) ) ),
inference(fof_simplification,[status(thm)],[2,theory(equality)]) ).
fof(41,negated_conjecture,
~ ! [X1] :
( relation(X1)
=> ( connected(X1)
<=> ! [X2,X3] :
~ ( in(X2,relation_field(X1))
& in(X3,relation_field(X1))
& X2 != X3
& ~ in(ordered_pair(X2,X3),X1)
& ~ in(ordered_pair(X3,X2),X1) ) ) ),
inference(fof_simplification,[status(thm)],[37,theory(equality)]) ).
fof(47,plain,
! [X1] :
( ~ relation(X1)
| ! [X2] :
( ( ~ is_connected_in(X1,X2)
| ! [X3,X4] :
( ~ in(X3,X2)
| ~ in(X4,X2)
| X3 = X4
| in(ordered_pair(X3,X4),X1)
| in(ordered_pair(X4,X3),X1) ) )
& ( ? [X3,X4] :
( in(X3,X2)
& in(X4,X2)
& X3 != X4
& ~ in(ordered_pair(X3,X4),X1)
& ~ in(ordered_pair(X4,X3),X1) )
| is_connected_in(X1,X2) ) ) ),
inference(fof_nnf,[status(thm)],[38]) ).
fof(48,plain,
! [X5] :
( ~ relation(X5)
| ! [X6] :
( ( ~ is_connected_in(X5,X6)
| ! [X7,X8] :
( ~ in(X7,X6)
| ~ in(X8,X6)
| X7 = X8
| in(ordered_pair(X7,X8),X5)
| in(ordered_pair(X8,X7),X5) ) )
& ( ? [X9,X10] :
( in(X9,X6)
& in(X10,X6)
& X9 != X10
& ~ in(ordered_pair(X9,X10),X5)
& ~ in(ordered_pair(X10,X9),X5) )
| is_connected_in(X5,X6) ) ) ),
inference(variable_rename,[status(thm)],[47]) ).
fof(49,plain,
! [X5] :
( ~ relation(X5)
| ! [X6] :
( ( ~ is_connected_in(X5,X6)
| ! [X7,X8] :
( ~ in(X7,X6)
| ~ in(X8,X6)
| X7 = X8
| in(ordered_pair(X7,X8),X5)
| in(ordered_pair(X8,X7),X5) ) )
& ( ( in(esk1_2(X5,X6),X6)
& in(esk2_2(X5,X6),X6)
& esk1_2(X5,X6) != esk2_2(X5,X6)
& ~ in(ordered_pair(esk1_2(X5,X6),esk2_2(X5,X6)),X5)
& ~ in(ordered_pair(esk2_2(X5,X6),esk1_2(X5,X6)),X5) )
| is_connected_in(X5,X6) ) ) ),
inference(skolemize,[status(esa)],[48]) ).
fof(50,plain,
! [X5,X6,X7,X8] :
( ( ( ~ in(X7,X6)
| ~ in(X8,X6)
| X7 = X8
| in(ordered_pair(X7,X8),X5)
| in(ordered_pair(X8,X7),X5)
| ~ is_connected_in(X5,X6) )
& ( ( in(esk1_2(X5,X6),X6)
& in(esk2_2(X5,X6),X6)
& esk1_2(X5,X6) != esk2_2(X5,X6)
& ~ in(ordered_pair(esk1_2(X5,X6),esk2_2(X5,X6)),X5)
& ~ in(ordered_pair(esk2_2(X5,X6),esk1_2(X5,X6)),X5) )
| is_connected_in(X5,X6) ) )
| ~ relation(X5) ),
inference(shift_quantors,[status(thm)],[49]) ).
fof(51,plain,
! [X5,X6,X7,X8] :
( ( ~ in(X7,X6)
| ~ in(X8,X6)
| X7 = X8
| in(ordered_pair(X7,X8),X5)
| in(ordered_pair(X8,X7),X5)
| ~ is_connected_in(X5,X6)
| ~ relation(X5) )
& ( in(esk1_2(X5,X6),X6)
| is_connected_in(X5,X6)
| ~ relation(X5) )
& ( in(esk2_2(X5,X6),X6)
| is_connected_in(X5,X6)
| ~ relation(X5) )
& ( esk1_2(X5,X6) != esk2_2(X5,X6)
| is_connected_in(X5,X6)
| ~ relation(X5) )
& ( ~ in(ordered_pair(esk1_2(X5,X6),esk2_2(X5,X6)),X5)
| is_connected_in(X5,X6)
| ~ relation(X5) )
& ( ~ in(ordered_pair(esk2_2(X5,X6),esk1_2(X5,X6)),X5)
| is_connected_in(X5,X6)
| ~ relation(X5) ) ),
inference(distribute,[status(thm)],[50]) ).
cnf(52,plain,
( is_connected_in(X1,X2)
| ~ relation(X1)
| ~ in(ordered_pair(esk2_2(X1,X2),esk1_2(X1,X2)),X1) ),
inference(split_conjunct,[status(thm)],[51]) ).
cnf(53,plain,
( is_connected_in(X1,X2)
| ~ relation(X1)
| ~ in(ordered_pair(esk1_2(X1,X2),esk2_2(X1,X2)),X1) ),
inference(split_conjunct,[status(thm)],[51]) ).
cnf(54,plain,
( is_connected_in(X1,X2)
| ~ relation(X1)
| esk1_2(X1,X2) != esk2_2(X1,X2) ),
inference(split_conjunct,[status(thm)],[51]) ).
cnf(55,plain,
( is_connected_in(X1,X2)
| in(esk2_2(X1,X2),X2)
| ~ relation(X1) ),
inference(split_conjunct,[status(thm)],[51]) ).
cnf(56,plain,
( is_connected_in(X1,X2)
| in(esk1_2(X1,X2),X2)
| ~ relation(X1) ),
inference(split_conjunct,[status(thm)],[51]) ).
cnf(57,plain,
( in(ordered_pair(X3,X4),X1)
| in(ordered_pair(X4,X3),X1)
| X4 = X3
| ~ relation(X1)
| ~ is_connected_in(X1,X2)
| ~ in(X3,X2)
| ~ in(X4,X2) ),
inference(split_conjunct,[status(thm)],[51]) ).
fof(58,plain,
! [X3,X4] : unordered_pair(X3,X4) = unordered_pair(X4,X3),
inference(variable_rename,[status(thm)],[3]) ).
cnf(59,plain,
unordered_pair(X1,X2) = unordered_pair(X2,X1),
inference(split_conjunct,[status(thm)],[58]) ).
fof(76,negated_conjecture,
? [X1] :
( relation(X1)
& ( ~ connected(X1)
| ? [X2,X3] :
( in(X2,relation_field(X1))
& in(X3,relation_field(X1))
& X2 != X3
& ~ in(ordered_pair(X2,X3),X1)
& ~ in(ordered_pair(X3,X2),X1) ) )
& ( connected(X1)
| ! [X2,X3] :
( ~ in(X2,relation_field(X1))
| ~ in(X3,relation_field(X1))
| X2 = X3
| in(ordered_pair(X2,X3),X1)
| in(ordered_pair(X3,X2),X1) ) ) ),
inference(fof_nnf,[status(thm)],[41]) ).
fof(77,negated_conjecture,
? [X4] :
( relation(X4)
& ( ~ connected(X4)
| ? [X5,X6] :
( in(X5,relation_field(X4))
& in(X6,relation_field(X4))
& X5 != X6
& ~ in(ordered_pair(X5,X6),X4)
& ~ in(ordered_pair(X6,X5),X4) ) )
& ( connected(X4)
| ! [X7,X8] :
( ~ in(X7,relation_field(X4))
| ~ in(X8,relation_field(X4))
| X7 = X8
| in(ordered_pair(X7,X8),X4)
| in(ordered_pair(X8,X7),X4) ) ) ),
inference(variable_rename,[status(thm)],[76]) ).
fof(78,negated_conjecture,
( relation(esk5_0)
& ( ~ connected(esk5_0)
| ( in(esk6_0,relation_field(esk5_0))
& in(esk7_0,relation_field(esk5_0))
& esk6_0 != esk7_0
& ~ in(ordered_pair(esk6_0,esk7_0),esk5_0)
& ~ in(ordered_pair(esk7_0,esk6_0),esk5_0) ) )
& ( connected(esk5_0)
| ! [X7,X8] :
( ~ in(X7,relation_field(esk5_0))
| ~ in(X8,relation_field(esk5_0))
| X7 = X8
| in(ordered_pair(X7,X8),esk5_0)
| in(ordered_pair(X8,X7),esk5_0) ) ) ),
inference(skolemize,[status(esa)],[77]) ).
fof(79,negated_conjecture,
! [X7,X8] :
( ( ~ in(X7,relation_field(esk5_0))
| ~ in(X8,relation_field(esk5_0))
| X7 = X8
| in(ordered_pair(X7,X8),esk5_0)
| in(ordered_pair(X8,X7),esk5_0)
| connected(esk5_0) )
& ( ~ connected(esk5_0)
| ( in(esk6_0,relation_field(esk5_0))
& in(esk7_0,relation_field(esk5_0))
& esk6_0 != esk7_0
& ~ in(ordered_pair(esk6_0,esk7_0),esk5_0)
& ~ in(ordered_pair(esk7_0,esk6_0),esk5_0) ) )
& relation(esk5_0) ),
inference(shift_quantors,[status(thm)],[78]) ).
fof(80,negated_conjecture,
! [X7,X8] :
( ( ~ in(X7,relation_field(esk5_0))
| ~ in(X8,relation_field(esk5_0))
| X7 = X8
| in(ordered_pair(X7,X8),esk5_0)
| in(ordered_pair(X8,X7),esk5_0)
| connected(esk5_0) )
& ( in(esk6_0,relation_field(esk5_0))
| ~ connected(esk5_0) )
& ( in(esk7_0,relation_field(esk5_0))
| ~ connected(esk5_0) )
& ( esk6_0 != esk7_0
| ~ connected(esk5_0) )
& ( ~ in(ordered_pair(esk6_0,esk7_0),esk5_0)
| ~ connected(esk5_0) )
& ( ~ in(ordered_pair(esk7_0,esk6_0),esk5_0)
| ~ connected(esk5_0) )
& relation(esk5_0) ),
inference(distribute,[status(thm)],[79]) ).
cnf(81,negated_conjecture,
relation(esk5_0),
inference(split_conjunct,[status(thm)],[80]) ).
cnf(82,negated_conjecture,
( ~ connected(esk5_0)
| ~ in(ordered_pair(esk7_0,esk6_0),esk5_0) ),
inference(split_conjunct,[status(thm)],[80]) ).
cnf(83,negated_conjecture,
( ~ connected(esk5_0)
| ~ in(ordered_pair(esk6_0,esk7_0),esk5_0) ),
inference(split_conjunct,[status(thm)],[80]) ).
cnf(84,negated_conjecture,
( ~ connected(esk5_0)
| esk6_0 != esk7_0 ),
inference(split_conjunct,[status(thm)],[80]) ).
cnf(85,negated_conjecture,
( in(esk7_0,relation_field(esk5_0))
| ~ connected(esk5_0) ),
inference(split_conjunct,[status(thm)],[80]) ).
cnf(86,negated_conjecture,
( in(esk6_0,relation_field(esk5_0))
| ~ connected(esk5_0) ),
inference(split_conjunct,[status(thm)],[80]) ).
cnf(87,negated_conjecture,
( connected(esk5_0)
| in(ordered_pair(X1,X2),esk5_0)
| in(ordered_pair(X2,X1),esk5_0)
| X2 = X1
| ~ in(X1,relation_field(esk5_0))
| ~ in(X2,relation_field(esk5_0)) ),
inference(split_conjunct,[status(thm)],[80]) ).
fof(126,plain,
! [X3,X4] : ordered_pair(X3,X4) = unordered_pair(unordered_pair(X3,X4),singleton(X3)),
inference(variable_rename,[status(thm)],[27]) ).
cnf(127,plain,
ordered_pair(X1,X2) = unordered_pair(unordered_pair(X1,X2),singleton(X1)),
inference(split_conjunct,[status(thm)],[126]) ).
fof(141,plain,
! [X1] :
( ~ relation(X1)
| ( ( ~ connected(X1)
| is_connected_in(X1,relation_field(X1)) )
& ( ~ is_connected_in(X1,relation_field(X1))
| connected(X1) ) ) ),
inference(fof_nnf,[status(thm)],[34]) ).
fof(142,plain,
! [X2] :
( ~ relation(X2)
| ( ( ~ connected(X2)
| is_connected_in(X2,relation_field(X2)) )
& ( ~ is_connected_in(X2,relation_field(X2))
| connected(X2) ) ) ),
inference(variable_rename,[status(thm)],[141]) ).
fof(143,plain,
! [X2] :
( ( ~ connected(X2)
| is_connected_in(X2,relation_field(X2))
| ~ relation(X2) )
& ( ~ is_connected_in(X2,relation_field(X2))
| connected(X2)
| ~ relation(X2) ) ),
inference(distribute,[status(thm)],[142]) ).
cnf(144,plain,
( connected(X1)
| ~ relation(X1)
| ~ is_connected_in(X1,relation_field(X1)) ),
inference(split_conjunct,[status(thm)],[143]) ).
cnf(145,plain,
( is_connected_in(X1,relation_field(X1))
| ~ relation(X1)
| ~ connected(X1) ),
inference(split_conjunct,[status(thm)],[143]) ).
cnf(154,plain,
( is_connected_in(X1,X2)
| ~ relation(X1)
| ~ in(unordered_pair(unordered_pair(esk1_2(X1,X2),esk2_2(X1,X2)),singleton(esk1_2(X1,X2))),X1) ),
inference(rw,[status(thm)],[53,127,theory(equality)]),
[unfolding] ).
cnf(155,plain,
( is_connected_in(X1,X2)
| ~ relation(X1)
| ~ in(unordered_pair(unordered_pair(esk2_2(X1,X2),esk1_2(X1,X2)),singleton(esk2_2(X1,X2))),X1) ),
inference(rw,[status(thm)],[52,127,theory(equality)]),
[unfolding] ).
cnf(156,negated_conjecture,
( X1 = X2
| connected(esk5_0)
| in(unordered_pair(unordered_pair(X2,X1),singleton(X2)),esk5_0)
| in(unordered_pair(unordered_pair(X1,X2),singleton(X1)),esk5_0)
| ~ in(X2,relation_field(esk5_0))
| ~ in(X1,relation_field(esk5_0)) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[87,127,theory(equality)]),127,theory(equality)]),
[unfolding] ).
cnf(157,plain,
( X3 = X4
| in(unordered_pair(unordered_pair(X4,X3),singleton(X4)),X1)
| in(unordered_pair(unordered_pair(X3,X4),singleton(X3)),X1)
| ~ relation(X1)
| ~ is_connected_in(X1,X2)
| ~ in(X4,X2)
| ~ in(X3,X2) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[57,127,theory(equality)]),127,theory(equality)]),
[unfolding] ).
cnf(159,negated_conjecture,
( ~ connected(esk5_0)
| ~ in(unordered_pair(unordered_pair(esk6_0,esk7_0),singleton(esk6_0)),esk5_0) ),
inference(rw,[status(thm)],[83,127,theory(equality)]),
[unfolding] ).
cnf(160,negated_conjecture,
( ~ connected(esk5_0)
| ~ in(unordered_pair(unordered_pair(esk7_0,esk6_0),singleton(esk7_0)),esk5_0) ),
inference(rw,[status(thm)],[82,127,theory(equality)]),
[unfolding] ).
cnf(197,negated_conjecture,
( ~ connected(esk5_0)
| ~ in(unordered_pair(unordered_pair(esk6_0,esk7_0),singleton(esk7_0)),esk5_0) ),
inference(rw,[status(thm)],[160,59,theory(equality)]) ).
cnf(200,plain,
( is_connected_in(X1,X2)
| ~ relation(X1)
| ~ in(unordered_pair(singleton(esk1_2(X1,X2)),unordered_pair(esk1_2(X1,X2),esk2_2(X1,X2))),X1) ),
inference(rw,[status(thm)],[154,59,theory(equality)]) ).
cnf(203,negated_conjecture,
( X1 = esk1_2(X2,relation_field(esk5_0))
| connected(esk5_0)
| in(unordered_pair(unordered_pair(X1,esk1_2(X2,relation_field(esk5_0))),singleton(X1)),esk5_0)
| in(unordered_pair(unordered_pair(esk1_2(X2,relation_field(esk5_0)),X1),singleton(esk1_2(X2,relation_field(esk5_0)))),esk5_0)
| is_connected_in(X2,relation_field(esk5_0))
| ~ in(X1,relation_field(esk5_0))
| ~ relation(X2) ),
inference(spm,[status(thm)],[156,56,theory(equality)]) ).
cnf(205,negated_conjecture,
( X1 = esk1_2(X2,relation_field(esk5_0))
| connected(esk5_0)
| in(unordered_pair(singleton(X1),unordered_pair(X1,esk1_2(X2,relation_field(esk5_0)))),esk5_0)
| in(unordered_pair(unordered_pair(esk1_2(X2,relation_field(esk5_0)),X1),singleton(esk1_2(X2,relation_field(esk5_0)))),esk5_0)
| is_connected_in(X2,relation_field(esk5_0))
| ~ in(X1,relation_field(esk5_0))
| ~ relation(X2) ),
inference(rw,[status(thm)],[203,59,theory(equality)]) ).
cnf(207,plain,
( is_connected_in(X1,X2)
| ~ relation(X1)
| ~ in(unordered_pair(singleton(esk2_2(X1,X2)),unordered_pair(esk1_2(X1,X2),esk2_2(X1,X2))),X1) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[155,59,theory(equality)]),59,theory(equality)]) ).
cnf(208,plain,
( X1 = X2
| in(unordered_pair(unordered_pair(X1,X2),singleton(X1)),X3)
| in(unordered_pair(unordered_pair(X2,X1),singleton(X2)),X3)
| ~ in(X2,relation_field(X3))
| ~ in(X1,relation_field(X3))
| ~ relation(X3)
| ~ connected(X3) ),
inference(spm,[status(thm)],[157,145,theory(equality)]) ).
cnf(265,negated_conjecture,
( esk2_2(X1,relation_field(esk5_0)) = esk1_2(X2,relation_field(esk5_0))
| connected(esk5_0)
| in(unordered_pair(unordered_pair(esk1_2(X2,relation_field(esk5_0)),esk2_2(X1,relation_field(esk5_0))),singleton(esk1_2(X2,relation_field(esk5_0)))),esk5_0)
| in(unordered_pair(singleton(esk2_2(X1,relation_field(esk5_0))),unordered_pair(esk2_2(X1,relation_field(esk5_0)),esk1_2(X2,relation_field(esk5_0)))),esk5_0)
| is_connected_in(X2,relation_field(esk5_0))
| is_connected_in(X1,relation_field(esk5_0))
| ~ relation(X2)
| ~ relation(X1) ),
inference(spm,[status(thm)],[205,55,theory(equality)]) ).
cnf(270,negated_conjecture,
( esk2_2(X1,relation_field(esk5_0)) = esk1_2(X2,relation_field(esk5_0))
| connected(esk5_0)
| in(unordered_pair(singleton(esk1_2(X2,relation_field(esk5_0))),unordered_pair(esk1_2(X2,relation_field(esk5_0)),esk2_2(X1,relation_field(esk5_0)))),esk5_0)
| in(unordered_pair(singleton(esk2_2(X1,relation_field(esk5_0))),unordered_pair(esk2_2(X1,relation_field(esk5_0)),esk1_2(X2,relation_field(esk5_0)))),esk5_0)
| is_connected_in(X2,relation_field(esk5_0))
| is_connected_in(X1,relation_field(esk5_0))
| ~ relation(X2)
| ~ relation(X1) ),
inference(rw,[status(thm)],[265,59,theory(equality)]) ).
cnf(342,negated_conjecture,
( X1 = esk7_0
| in(unordered_pair(unordered_pair(esk7_0,X1),singleton(esk7_0)),esk5_0)
| in(unordered_pair(unordered_pair(X1,esk7_0),singleton(X1)),esk5_0)
| ~ connected(esk5_0)
| ~ in(X1,relation_field(esk5_0))
| ~ relation(esk5_0) ),
inference(spm,[status(thm)],[208,85,theory(equality)]) ).
cnf(348,negated_conjecture,
( X1 = esk7_0
| in(unordered_pair(unordered_pair(esk7_0,X1),singleton(esk7_0)),esk5_0)
| in(unordered_pair(unordered_pair(X1,esk7_0),singleton(X1)),esk5_0)
| ~ connected(esk5_0)
| ~ in(X1,relation_field(esk5_0))
| $false ),
inference(rw,[status(thm)],[342,81,theory(equality)]) ).
cnf(349,negated_conjecture,
( X1 = esk7_0
| in(unordered_pair(unordered_pair(esk7_0,X1),singleton(esk7_0)),esk5_0)
| in(unordered_pair(unordered_pair(X1,esk7_0),singleton(X1)),esk5_0)
| ~ connected(esk5_0)
| ~ in(X1,relation_field(esk5_0)) ),
inference(cn,[status(thm)],[348,theory(equality)]) ).
cnf(439,negated_conjecture,
( esk2_2(X1,relation_field(esk5_0)) = esk1_2(esk5_0,relation_field(esk5_0))
| connected(esk5_0)
| in(unordered_pair(singleton(esk2_2(X1,relation_field(esk5_0))),unordered_pair(esk2_2(X1,relation_field(esk5_0)),esk1_2(esk5_0,relation_field(esk5_0)))),esk5_0)
| in(unordered_pair(singleton(esk1_2(esk5_0,relation_field(esk5_0))),unordered_pair(esk1_2(esk5_0,relation_field(esk5_0)),esk2_2(X1,relation_field(esk5_0)))),esk5_0)
| is_connected_in(X1,relation_field(esk5_0))
| is_connected_in(esk5_0,relation_field(esk5_0))
| ~ relation(X1) ),
inference(spm,[status(thm)],[270,81,theory(equality)]) ).
cnf(443,negated_conjecture,
( esk2_2(X1,relation_field(esk5_0)) = esk1_2(esk5_0,relation_field(esk5_0))
| connected(esk5_0)
| in(unordered_pair(singleton(esk2_2(X1,relation_field(esk5_0))),unordered_pair(esk1_2(esk5_0,relation_field(esk5_0)),esk2_2(X1,relation_field(esk5_0)))),esk5_0)
| in(unordered_pair(singleton(esk1_2(esk5_0,relation_field(esk5_0))),unordered_pair(esk1_2(esk5_0,relation_field(esk5_0)),esk2_2(X1,relation_field(esk5_0)))),esk5_0)
| is_connected_in(X1,relation_field(esk5_0))
| is_connected_in(esk5_0,relation_field(esk5_0))
| ~ relation(X1) ),
inference(rw,[status(thm)],[439,59,theory(equality)]) ).
cnf(1181,negated_conjecture,
( is_connected_in(esk5_0,relation_field(esk5_0))
| esk2_2(esk5_0,relation_field(esk5_0)) = esk1_2(esk5_0,relation_field(esk5_0))
| connected(esk5_0)
| in(unordered_pair(singleton(esk1_2(esk5_0,relation_field(esk5_0))),unordered_pair(esk1_2(esk5_0,relation_field(esk5_0)),esk2_2(esk5_0,relation_field(esk5_0)))),esk5_0)
| ~ relation(esk5_0) ),
inference(spm,[status(thm)],[207,443,theory(equality)]) ).
cnf(1182,negated_conjecture,
( is_connected_in(esk5_0,relation_field(esk5_0))
| esk2_2(esk5_0,relation_field(esk5_0)) = esk1_2(esk5_0,relation_field(esk5_0))
| connected(esk5_0)
| in(unordered_pair(singleton(esk1_2(esk5_0,relation_field(esk5_0))),unordered_pair(esk1_2(esk5_0,relation_field(esk5_0)),esk2_2(esk5_0,relation_field(esk5_0)))),esk5_0)
| $false ),
inference(rw,[status(thm)],[1181,81,theory(equality)]) ).
cnf(1183,negated_conjecture,
( is_connected_in(esk5_0,relation_field(esk5_0))
| esk2_2(esk5_0,relation_field(esk5_0)) = esk1_2(esk5_0,relation_field(esk5_0))
| connected(esk5_0)
| in(unordered_pair(singleton(esk1_2(esk5_0,relation_field(esk5_0))),unordered_pair(esk1_2(esk5_0,relation_field(esk5_0)),esk2_2(esk5_0,relation_field(esk5_0)))),esk5_0) ),
inference(cn,[status(thm)],[1182,theory(equality)]) ).
cnf(1195,negated_conjecture,
( is_connected_in(esk5_0,relation_field(esk5_0))
| esk2_2(esk5_0,relation_field(esk5_0)) = esk1_2(esk5_0,relation_field(esk5_0))
| connected(esk5_0)
| ~ relation(esk5_0) ),
inference(spm,[status(thm)],[200,1183,theory(equality)]) ).
cnf(1196,negated_conjecture,
( is_connected_in(esk5_0,relation_field(esk5_0))
| esk2_2(esk5_0,relation_field(esk5_0)) = esk1_2(esk5_0,relation_field(esk5_0))
| connected(esk5_0)
| $false ),
inference(rw,[status(thm)],[1195,81,theory(equality)]) ).
cnf(1197,negated_conjecture,
( is_connected_in(esk5_0,relation_field(esk5_0))
| esk2_2(esk5_0,relation_field(esk5_0)) = esk1_2(esk5_0,relation_field(esk5_0))
| connected(esk5_0) ),
inference(cn,[status(thm)],[1196,theory(equality)]) ).
cnf(1199,negated_conjecture,
( is_connected_in(esk5_0,relation_field(esk5_0))
| connected(esk5_0)
| ~ relation(esk5_0) ),
inference(spm,[status(thm)],[54,1197,theory(equality)]) ).
cnf(1207,negated_conjecture,
( is_connected_in(esk5_0,relation_field(esk5_0))
| connected(esk5_0)
| $false ),
inference(rw,[status(thm)],[1199,81,theory(equality)]) ).
cnf(1208,negated_conjecture,
( is_connected_in(esk5_0,relation_field(esk5_0))
| connected(esk5_0) ),
inference(cn,[status(thm)],[1207,theory(equality)]) ).
cnf(1215,negated_conjecture,
( connected(esk5_0)
| ~ relation(esk5_0) ),
inference(spm,[status(thm)],[144,1208,theory(equality)]) ).
cnf(1217,negated_conjecture,
( connected(esk5_0)
| $false ),
inference(rw,[status(thm)],[1215,81,theory(equality)]) ).
cnf(1218,negated_conjecture,
connected(esk5_0),
inference(cn,[status(thm)],[1217,theory(equality)]) ).
cnf(1250,negated_conjecture,
( X1 = esk7_0
| in(unordered_pair(unordered_pair(esk7_0,X1),singleton(esk7_0)),esk5_0)
| in(unordered_pair(unordered_pair(X1,esk7_0),singleton(X1)),esk5_0)
| $false
| ~ in(X1,relation_field(esk5_0)) ),
inference(rw,[status(thm)],[349,1218,theory(equality)]) ).
cnf(1251,negated_conjecture,
( X1 = esk7_0
| in(unordered_pair(unordered_pair(esk7_0,X1),singleton(esk7_0)),esk5_0)
| in(unordered_pair(unordered_pair(X1,esk7_0),singleton(X1)),esk5_0)
| ~ in(X1,relation_field(esk5_0)) ),
inference(cn,[status(thm)],[1250,theory(equality)]) ).
cnf(1267,negated_conjecture,
( $false
| ~ in(unordered_pair(unordered_pair(esk6_0,esk7_0),singleton(esk7_0)),esk5_0) ),
inference(rw,[status(thm)],[197,1218,theory(equality)]) ).
cnf(1268,negated_conjecture,
~ in(unordered_pair(unordered_pair(esk6_0,esk7_0),singleton(esk7_0)),esk5_0),
inference(cn,[status(thm)],[1267,theory(equality)]) ).
cnf(1269,negated_conjecture,
( $false
| ~ in(unordered_pair(unordered_pair(esk6_0,esk7_0),singleton(esk6_0)),esk5_0) ),
inference(rw,[status(thm)],[159,1218,theory(equality)]) ).
cnf(1270,negated_conjecture,
~ in(unordered_pair(unordered_pair(esk6_0,esk7_0),singleton(esk6_0)),esk5_0),
inference(cn,[status(thm)],[1269,theory(equality)]) ).
cnf(1271,negated_conjecture,
( esk7_0 != esk6_0
| $false ),
inference(rw,[status(thm)],[84,1218,theory(equality)]) ).
cnf(1272,negated_conjecture,
esk7_0 != esk6_0,
inference(cn,[status(thm)],[1271,theory(equality)]) ).
cnf(1275,negated_conjecture,
( in(esk6_0,relation_field(esk5_0))
| $false ),
inference(rw,[status(thm)],[86,1218,theory(equality)]) ).
cnf(1276,negated_conjecture,
in(esk6_0,relation_field(esk5_0)),
inference(cn,[status(thm)],[1275,theory(equality)]) ).
cnf(1325,negated_conjecture,
( esk6_0 = esk7_0
| in(unordered_pair(unordered_pair(esk7_0,esk6_0),singleton(esk7_0)),esk5_0)
| in(unordered_pair(unordered_pair(esk6_0,esk7_0),singleton(esk6_0)),esk5_0) ),
inference(spm,[status(thm)],[1251,1276,theory(equality)]) ).
cnf(1329,negated_conjecture,
( esk6_0 = esk7_0
| in(unordered_pair(unordered_pair(esk6_0,esk7_0),singleton(esk7_0)),esk5_0)
| in(unordered_pair(unordered_pair(esk6_0,esk7_0),singleton(esk6_0)),esk5_0) ),
inference(rw,[status(thm)],[1325,59,theory(equality)]) ).
cnf(1330,negated_conjecture,
( in(unordered_pair(unordered_pair(esk6_0,esk7_0),singleton(esk7_0)),esk5_0)
| in(unordered_pair(unordered_pair(esk6_0,esk7_0),singleton(esk6_0)),esk5_0) ),
inference(sr,[status(thm)],[1329,1272,theory(equality)]) ).
cnf(1338,negated_conjecture,
in(unordered_pair(unordered_pair(esk6_0,esk7_0),singleton(esk6_0)),esk5_0),
inference(sr,[status(thm)],[1330,1268,theory(equality)]) ).
cnf(1354,negated_conjecture,
$false,
inference(rw,[status(thm)],[1270,1338,theory(equality)]) ).
cnf(1355,negated_conjecture,
$false,
inference(cn,[status(thm)],[1354,theory(equality)]) ).
cnf(1356,negated_conjecture,
$false,
1355,
[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/SEU/SEU242+1.p
% --creating new selector for []
% -running prover on /tmp/tmpsy5a33/sel_SEU242+1.p_1 with time limit 29
% -prover status Theorem
% Problem SEU242+1.p solved in phase 0.
% % SZS status Theorem for /home/graph/tptp/TPTP/Problems/SEU/SEU242+1.p
% % SZS status Ended for /home/graph/tptp/TPTP/Problems/SEU/SEU242+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
%
%------------------------------------------------------------------------------