TSTP Solution File: SEU254+1 by SInE---0.4
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SInE---0.4
% Problem : SEU254+1 : TPTP v5.0.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : Source/sine.py -e eprover -t %d %s
% Computer : art05.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 06:19:44 EST 2010
% Result : Theorem 72.19s
% Output : CNFRefutation 72.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 21
% Number of leaves : 7
% Syntax : Number of formulae : 81 ( 11 unt; 0 def)
% Number of atoms : 297 ( 6 equ)
% Maximal formula atoms : 14 ( 3 avg)
% Number of connectives : 369 ( 153 ~; 169 |; 36 &)
% ( 3 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 5 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 2 con; 0-2 aty)
% Number of variables : 197 ( 13 sgn 70 !; 10 ?)
% Comments :
%------------------------------------------------------------------------------
fof(2,axiom,
! [X1,X2] : unordered_pair(X1,X2) = unordered_pair(X2,X1),
file('/tmp/tmp0-vJgj/sel_SEU254+1.p_2',commutativity_k2_tarski) ).
fof(5,conjecture,
! [X1,X2] :
( relation(X2)
=> ( transitive(X2)
=> transitive(relation_restriction(X2,X1)) ) ),
file('/tmp/tmp0-vJgj/sel_SEU254+1.p_2',t24_wellord1) ).
fof(8,axiom,
! [X1,X2,X3] :
( relation(X3)
=> ( in(X1,relation_restriction(X3,X2))
<=> ( in(X1,X3)
& in(X1,cartesian_product2(X2,X2)) ) ) ),
file('/tmp/tmp0-vJgj/sel_SEU254+1.p_2',t16_wellord1) ).
fof(22,axiom,
! [X1,X2,X3,X4] :
( in(ordered_pair(X1,X2),cartesian_product2(X3,X4))
<=> ( in(X1,X3)
& in(X2,X4) ) ),
file('/tmp/tmp0-vJgj/sel_SEU254+1.p_2',t106_zfmisc_1) ).
fof(24,axiom,
! [X1,X2] :
( relation(X1)
=> relation(relation_restriction(X1,X2)) ),
file('/tmp/tmp0-vJgj/sel_SEU254+1.p_2',dt_k2_wellord1) ).
fof(28,axiom,
! [X1,X2] : ordered_pair(X1,X2) = unordered_pair(unordered_pair(X1,X2),singleton(X1)),
file('/tmp/tmp0-vJgj/sel_SEU254+1.p_2',d5_tarski) ).
fof(31,axiom,
! [X1] :
( relation(X1)
=> ( transitive(X1)
<=> ! [X2,X3,X4] :
( ( in(ordered_pair(X2,X3),X1)
& in(ordered_pair(X3,X4),X1) )
=> in(ordered_pair(X2,X4),X1) ) ) ),
file('/tmp/tmp0-vJgj/sel_SEU254+1.p_2',l2_wellord1) ).
fof(35,negated_conjecture,
~ ! [X1,X2] :
( relation(X2)
=> ( transitive(X2)
=> transitive(relation_restriction(X2,X1)) ) ),
inference(assume_negation,[status(cth)],[5]) ).
fof(41,plain,
! [X3,X4] : unordered_pair(X3,X4) = unordered_pair(X4,X3),
inference(variable_rename,[status(thm)],[2]) ).
cnf(42,plain,
unordered_pair(X1,X2) = unordered_pair(X2,X1),
inference(split_conjunct,[status(thm)],[41]) ).
fof(50,negated_conjecture,
? [X1,X2] :
( relation(X2)
& transitive(X2)
& ~ transitive(relation_restriction(X2,X1)) ),
inference(fof_nnf,[status(thm)],[35]) ).
fof(51,negated_conjecture,
? [X3,X4] :
( relation(X4)
& transitive(X4)
& ~ transitive(relation_restriction(X4,X3)) ),
inference(variable_rename,[status(thm)],[50]) ).
fof(52,negated_conjecture,
( relation(esk3_0)
& transitive(esk3_0)
& ~ transitive(relation_restriction(esk3_0,esk2_0)) ),
inference(skolemize,[status(esa)],[51]) ).
cnf(53,negated_conjecture,
~ transitive(relation_restriction(esk3_0,esk2_0)),
inference(split_conjunct,[status(thm)],[52]) ).
cnf(54,negated_conjecture,
transitive(esk3_0),
inference(split_conjunct,[status(thm)],[52]) ).
cnf(55,negated_conjecture,
relation(esk3_0),
inference(split_conjunct,[status(thm)],[52]) ).
fof(63,plain,
! [X1,X2,X3] :
( ~ relation(X3)
| ( ( ~ in(X1,relation_restriction(X3,X2))
| ( in(X1,X3)
& in(X1,cartesian_product2(X2,X2)) ) )
& ( ~ in(X1,X3)
| ~ in(X1,cartesian_product2(X2,X2))
| in(X1,relation_restriction(X3,X2)) ) ) ),
inference(fof_nnf,[status(thm)],[8]) ).
fof(64,plain,
! [X4,X5,X6] :
( ~ relation(X6)
| ( ( ~ in(X4,relation_restriction(X6,X5))
| ( in(X4,X6)
& in(X4,cartesian_product2(X5,X5)) ) )
& ( ~ in(X4,X6)
| ~ in(X4,cartesian_product2(X5,X5))
| in(X4,relation_restriction(X6,X5)) ) ) ),
inference(variable_rename,[status(thm)],[63]) ).
fof(65,plain,
! [X4,X5,X6] :
( ( in(X4,X6)
| ~ in(X4,relation_restriction(X6,X5))
| ~ relation(X6) )
& ( in(X4,cartesian_product2(X5,X5))
| ~ in(X4,relation_restriction(X6,X5))
| ~ relation(X6) )
& ( ~ in(X4,X6)
| ~ in(X4,cartesian_product2(X5,X5))
| in(X4,relation_restriction(X6,X5))
| ~ relation(X6) ) ),
inference(distribute,[status(thm)],[64]) ).
cnf(66,plain,
( in(X2,relation_restriction(X1,X3))
| ~ relation(X1)
| ~ in(X2,cartesian_product2(X3,X3))
| ~ in(X2,X1) ),
inference(split_conjunct,[status(thm)],[65]) ).
cnf(67,plain,
( in(X2,cartesian_product2(X3,X3))
| ~ relation(X1)
| ~ in(X2,relation_restriction(X1,X3)) ),
inference(split_conjunct,[status(thm)],[65]) ).
cnf(68,plain,
( in(X2,X1)
| ~ relation(X1)
| ~ in(X2,relation_restriction(X1,X3)) ),
inference(split_conjunct,[status(thm)],[65]) ).
fof(100,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)],[22]) ).
fof(101,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)],[100]) ).
fof(102,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)],[101]) ).
cnf(103,plain,
( in(ordered_pair(X1,X2),cartesian_product2(X3,X4))
| ~ in(X2,X4)
| ~ in(X1,X3) ),
inference(split_conjunct,[status(thm)],[102]) ).
cnf(104,plain,
( in(X2,X4)
| ~ in(ordered_pair(X1,X2),cartesian_product2(X3,X4)) ),
inference(split_conjunct,[status(thm)],[102]) ).
cnf(105,plain,
( in(X1,X3)
| ~ in(ordered_pair(X1,X2),cartesian_product2(X3,X4)) ),
inference(split_conjunct,[status(thm)],[102]) ).
fof(108,plain,
! [X1,X2] :
( ~ relation(X1)
| relation(relation_restriction(X1,X2)) ),
inference(fof_nnf,[status(thm)],[24]) ).
fof(109,plain,
! [X3,X4] :
( ~ relation(X3)
| relation(relation_restriction(X3,X4)) ),
inference(variable_rename,[status(thm)],[108]) ).
cnf(110,plain,
( relation(relation_restriction(X1,X2))
| ~ relation(X1) ),
inference(split_conjunct,[status(thm)],[109]) ).
fof(115,plain,
! [X3,X4] : ordered_pair(X3,X4) = unordered_pair(unordered_pair(X3,X4),singleton(X3)),
inference(variable_rename,[status(thm)],[28]) ).
cnf(116,plain,
ordered_pair(X1,X2) = unordered_pair(unordered_pair(X1,X2),singleton(X1)),
inference(split_conjunct,[status(thm)],[115]) ).
fof(123,plain,
! [X1] :
( ~ relation(X1)
| ( ( ~ transitive(X1)
| ! [X2,X3,X4] :
( ~ in(ordered_pair(X2,X3),X1)
| ~ in(ordered_pair(X3,X4),X1)
| in(ordered_pair(X2,X4),X1) ) )
& ( ? [X2,X3,X4] :
( in(ordered_pair(X2,X3),X1)
& in(ordered_pair(X3,X4),X1)
& ~ in(ordered_pair(X2,X4),X1) )
| transitive(X1) ) ) ),
inference(fof_nnf,[status(thm)],[31]) ).
fof(124,plain,
! [X5] :
( ~ relation(X5)
| ( ( ~ transitive(X5)
| ! [X6,X7,X8] :
( ~ in(ordered_pair(X6,X7),X5)
| ~ in(ordered_pair(X7,X8),X5)
| in(ordered_pair(X6,X8),X5) ) )
& ( ? [X9,X10,X11] :
( in(ordered_pair(X9,X10),X5)
& in(ordered_pair(X10,X11),X5)
& ~ in(ordered_pair(X9,X11),X5) )
| transitive(X5) ) ) ),
inference(variable_rename,[status(thm)],[123]) ).
fof(125,plain,
! [X5] :
( ~ relation(X5)
| ( ( ~ transitive(X5)
| ! [X6,X7,X8] :
( ~ in(ordered_pair(X6,X7),X5)
| ~ in(ordered_pair(X7,X8),X5)
| in(ordered_pair(X6,X8),X5) ) )
& ( ( in(ordered_pair(esk7_1(X5),esk8_1(X5)),X5)
& in(ordered_pair(esk8_1(X5),esk9_1(X5)),X5)
& ~ in(ordered_pair(esk7_1(X5),esk9_1(X5)),X5) )
| transitive(X5) ) ) ),
inference(skolemize,[status(esa)],[124]) ).
fof(126,plain,
! [X5,X6,X7,X8] :
( ( ( ~ in(ordered_pair(X6,X7),X5)
| ~ in(ordered_pair(X7,X8),X5)
| in(ordered_pair(X6,X8),X5)
| ~ transitive(X5) )
& ( ( in(ordered_pair(esk7_1(X5),esk8_1(X5)),X5)
& in(ordered_pair(esk8_1(X5),esk9_1(X5)),X5)
& ~ in(ordered_pair(esk7_1(X5),esk9_1(X5)),X5) )
| transitive(X5) ) )
| ~ relation(X5) ),
inference(shift_quantors,[status(thm)],[125]) ).
fof(127,plain,
! [X5,X6,X7,X8] :
( ( ~ in(ordered_pair(X6,X7),X5)
| ~ in(ordered_pair(X7,X8),X5)
| in(ordered_pair(X6,X8),X5)
| ~ transitive(X5)
| ~ relation(X5) )
& ( in(ordered_pair(esk7_1(X5),esk8_1(X5)),X5)
| transitive(X5)
| ~ relation(X5) )
& ( in(ordered_pair(esk8_1(X5),esk9_1(X5)),X5)
| transitive(X5)
| ~ relation(X5) )
& ( ~ in(ordered_pair(esk7_1(X5),esk9_1(X5)),X5)
| transitive(X5)
| ~ relation(X5) ) ),
inference(distribute,[status(thm)],[126]) ).
cnf(128,plain,
( transitive(X1)
| ~ relation(X1)
| ~ in(ordered_pair(esk7_1(X1),esk9_1(X1)),X1) ),
inference(split_conjunct,[status(thm)],[127]) ).
cnf(129,plain,
( transitive(X1)
| in(ordered_pair(esk8_1(X1),esk9_1(X1)),X1)
| ~ relation(X1) ),
inference(split_conjunct,[status(thm)],[127]) ).
cnf(130,plain,
( transitive(X1)
| in(ordered_pair(esk7_1(X1),esk8_1(X1)),X1)
| ~ relation(X1) ),
inference(split_conjunct,[status(thm)],[127]) ).
cnf(131,plain,
( in(ordered_pair(X2,X3),X1)
| ~ relation(X1)
| ~ transitive(X1)
| ~ in(ordered_pair(X4,X3),X1)
| ~ in(ordered_pair(X2,X4),X1) ),
inference(split_conjunct,[status(thm)],[127]) ).
cnf(143,plain,
( in(X2,X4)
| ~ in(unordered_pair(unordered_pair(X1,X2),singleton(X1)),cartesian_product2(X3,X4)) ),
inference(rw,[status(thm)],[104,116,theory(equality)]),
[unfolding] ).
cnf(144,plain,
( in(X1,X3)
| ~ in(unordered_pair(unordered_pair(X1,X2),singleton(X1)),cartesian_product2(X3,X4)) ),
inference(rw,[status(thm)],[105,116,theory(equality)]),
[unfolding] ).
cnf(145,plain,
( transitive(X1)
| in(unordered_pair(unordered_pair(esk7_1(X1),esk8_1(X1)),singleton(esk7_1(X1))),X1)
| ~ relation(X1) ),
inference(rw,[status(thm)],[130,116,theory(equality)]),
[unfolding] ).
cnf(146,plain,
( transitive(X1)
| in(unordered_pair(unordered_pair(esk8_1(X1),esk9_1(X1)),singleton(esk8_1(X1))),X1)
| ~ relation(X1) ),
inference(rw,[status(thm)],[129,116,theory(equality)]),
[unfolding] ).
cnf(147,plain,
( transitive(X1)
| ~ relation(X1)
| ~ in(unordered_pair(unordered_pair(esk7_1(X1),esk9_1(X1)),singleton(esk7_1(X1))),X1) ),
inference(rw,[status(thm)],[128,116,theory(equality)]),
[unfolding] ).
cnf(148,plain,
( in(unordered_pair(unordered_pair(X1,X2),singleton(X1)),cartesian_product2(X3,X4))
| ~ in(X2,X4)
| ~ in(X1,X3) ),
inference(rw,[status(thm)],[103,116,theory(equality)]),
[unfolding] ).
cnf(149,plain,
( in(unordered_pair(unordered_pair(X2,X3),singleton(X2)),X1)
| ~ relation(X1)
| ~ transitive(X1)
| ~ in(unordered_pair(unordered_pair(X4,X3),singleton(X4)),X1)
| ~ in(unordered_pair(unordered_pair(X2,X4),singleton(X2)),X1) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[131,116,theory(equality)]),116,theory(equality)]),116,theory(equality)]),
[unfolding] ).
cnf(173,plain,
( in(X1,X2)
| ~ in(unordered_pair(singleton(X3),unordered_pair(X3,X1)),cartesian_product2(X4,X2)) ),
inference(spm,[status(thm)],[143,42,theory(equality)]) ).
cnf(177,plain,
( in(X1,X2)
| ~ in(unordered_pair(singleton(X1),unordered_pair(X1,X3)),cartesian_product2(X2,X4)) ),
inference(spm,[status(thm)],[144,42,theory(equality)]) ).
cnf(181,plain,
( in(unordered_pair(singleton(X1),unordered_pair(X1,X2)),cartesian_product2(X3,X4))
| ~ in(X2,X4)
| ~ in(X1,X3) ),
inference(spm,[status(thm)],[148,42,theory(equality)]) ).
cnf(189,plain,
( transitive(X1)
| in(unordered_pair(singleton(esk7_1(X1)),unordered_pair(esk7_1(X1),esk8_1(X1))),X1)
| ~ relation(X1) ),
inference(rw,[status(thm)],[145,42,theory(equality)]) ).
cnf(192,plain,
( in(unordered_pair(singleton(esk7_1(relation_restriction(X1,X2))),unordered_pair(esk7_1(relation_restriction(X1,X2)),esk8_1(relation_restriction(X1,X2)))),X1)
| transitive(relation_restriction(X1,X2))
| ~ relation(X1)
| ~ relation(relation_restriction(X1,X2)) ),
inference(spm,[status(thm)],[68,189,theory(equality)]) ).
cnf(193,plain,
( in(unordered_pair(singleton(esk7_1(relation_restriction(X1,X2))),unordered_pair(esk7_1(relation_restriction(X1,X2)),esk8_1(relation_restriction(X1,X2)))),cartesian_product2(X2,X2))
| transitive(relation_restriction(X1,X2))
| ~ relation(X1)
| ~ relation(relation_restriction(X1,X2)) ),
inference(spm,[status(thm)],[67,189,theory(equality)]) ).
cnf(195,plain,
( transitive(X1)
| in(unordered_pair(singleton(esk8_1(X1)),unordered_pair(esk8_1(X1),esk9_1(X1))),X1)
| ~ relation(X1) ),
inference(rw,[status(thm)],[146,42,theory(equality)]) ).
cnf(198,plain,
( in(unordered_pair(singleton(esk8_1(relation_restriction(X1,X2))),unordered_pair(esk8_1(relation_restriction(X1,X2)),esk9_1(relation_restriction(X1,X2)))),X1)
| transitive(relation_restriction(X1,X2))
| ~ relation(X1)
| ~ relation(relation_restriction(X1,X2)) ),
inference(spm,[status(thm)],[68,195,theory(equality)]) ).
cnf(199,plain,
( in(unordered_pair(singleton(esk8_1(relation_restriction(X1,X2))),unordered_pair(esk8_1(relation_restriction(X1,X2)),esk9_1(relation_restriction(X1,X2)))),cartesian_product2(X2,X2))
| transitive(relation_restriction(X1,X2))
| ~ relation(X1)
| ~ relation(relation_restriction(X1,X2)) ),
inference(spm,[status(thm)],[67,195,theory(equality)]) ).
cnf(201,plain,
( transitive(X1)
| ~ relation(X1)
| ~ in(unordered_pair(singleton(esk7_1(X1)),unordered_pair(esk7_1(X1),esk9_1(X1))),X1) ),
inference(rw,[status(thm)],[147,42,theory(equality)]) ).
cnf(203,plain,
( in(unordered_pair(unordered_pair(X1,X2),singleton(X1)),X3)
| ~ in(unordered_pair(singleton(X4),unordered_pair(X4,X2)),X3)
| ~ in(unordered_pair(unordered_pair(X1,X4),singleton(X1)),X3)
| ~ transitive(X3)
| ~ relation(X3) ),
inference(spm,[status(thm)],[149,42,theory(equality)]) ).
cnf(570,plain,
( in(unordered_pair(singleton(X1),unordered_pair(X1,X2)),relation_restriction(X3,X4))
| ~ in(unordered_pair(singleton(X1),unordered_pair(X1,X2)),X3)
| ~ relation(X3)
| ~ in(X2,X4)
| ~ in(X1,X4) ),
inference(spm,[status(thm)],[66,181,theory(equality)]) ).
cnf(897,plain,
( in(unordered_pair(singleton(esk7_1(relation_restriction(X1,X2))),unordered_pair(esk7_1(relation_restriction(X1,X2)),esk8_1(relation_restriction(X1,X2)))),X1)
| transitive(relation_restriction(X1,X2))
| ~ relation(X1) ),
inference(csr,[status(thm)],[192,110]) ).
cnf(961,plain,
( in(unordered_pair(singleton(esk7_1(relation_restriction(X1,X2))),unordered_pair(esk7_1(relation_restriction(X1,X2)),esk8_1(relation_restriction(X1,X2)))),cartesian_product2(X2,X2))
| transitive(relation_restriction(X1,X2))
| ~ relation(X1) ),
inference(csr,[status(thm)],[193,110]) ).
cnf(971,plain,
( in(esk7_1(relation_restriction(X1,X2)),X2)
| transitive(relation_restriction(X1,X2))
| ~ relation(X1) ),
inference(spm,[status(thm)],[177,961,theory(equality)]) ).
cnf(1095,plain,
( in(unordered_pair(singleton(esk8_1(relation_restriction(X1,X2))),unordered_pair(esk8_1(relation_restriction(X1,X2)),esk9_1(relation_restriction(X1,X2)))),X1)
| transitive(relation_restriction(X1,X2))
| ~ relation(X1) ),
inference(csr,[status(thm)],[198,110]) ).
cnf(1172,plain,
( in(unordered_pair(singleton(esk8_1(relation_restriction(X1,X2))),unordered_pair(esk8_1(relation_restriction(X1,X2)),esk9_1(relation_restriction(X1,X2)))),cartesian_product2(X2,X2))
| transitive(relation_restriction(X1,X2))
| ~ relation(X1) ),
inference(csr,[status(thm)],[199,110]) ).
cnf(1179,plain,
( in(esk9_1(relation_restriction(X1,X2)),X2)
| transitive(relation_restriction(X1,X2))
| ~ relation(X1) ),
inference(spm,[status(thm)],[173,1172,theory(equality)]) ).
cnf(1328,plain,
( in(unordered_pair(unordered_pair(X1,esk9_1(relation_restriction(X2,X3))),singleton(X1)),X2)
| transitive(relation_restriction(X2,X3))
| ~ in(unordered_pair(unordered_pair(X1,esk8_1(relation_restriction(X2,X3))),singleton(X1)),X2)
| ~ transitive(X2)
| ~ relation(X2) ),
inference(spm,[status(thm)],[203,1095,theory(equality)]) ).
cnf(1341,plain,
( in(unordered_pair(singleton(X1),unordered_pair(X1,esk9_1(relation_restriction(X2,X3)))),X2)
| transitive(relation_restriction(X2,X3))
| ~ in(unordered_pair(unordered_pair(X1,esk8_1(relation_restriction(X2,X3))),singleton(X1)),X2)
| ~ transitive(X2)
| ~ relation(X2) ),
inference(rw,[status(thm)],[1328,42,theory(equality)]) ).
cnf(1342,plain,
( in(unordered_pair(singleton(X1),unordered_pair(X1,esk9_1(relation_restriction(X2,X3)))),X2)
| transitive(relation_restriction(X2,X3))
| ~ in(unordered_pair(singleton(X1),unordered_pair(X1,esk8_1(relation_restriction(X2,X3)))),X2)
| ~ transitive(X2)
| ~ relation(X2) ),
inference(rw,[status(thm)],[1341,42,theory(equality)]) ).
cnf(4511,plain,
( transitive(relation_restriction(X1,X2))
| ~ relation(relation_restriction(X1,X2))
| ~ in(unordered_pair(singleton(esk7_1(relation_restriction(X1,X2))),unordered_pair(esk7_1(relation_restriction(X1,X2)),esk9_1(relation_restriction(X1,X2)))),X1)
| ~ in(esk9_1(relation_restriction(X1,X2)),X2)
| ~ in(esk7_1(relation_restriction(X1,X2)),X2)
| ~ relation(X1) ),
inference(spm,[status(thm)],[201,570,theory(equality)]) ).
cnf(90709,plain,
( transitive(relation_restriction(X1,X2))
| ~ in(unordered_pair(singleton(esk7_1(relation_restriction(X1,X2))),unordered_pair(esk7_1(relation_restriction(X1,X2)),esk9_1(relation_restriction(X1,X2)))),X1)
| ~ in(esk9_1(relation_restriction(X1,X2)),X2)
| ~ relation(relation_restriction(X1,X2))
| ~ relation(X1) ),
inference(csr,[status(thm)],[4511,971]) ).
cnf(90710,plain,
( transitive(relation_restriction(X1,X2))
| ~ in(unordered_pair(singleton(esk7_1(relation_restriction(X1,X2))),unordered_pair(esk7_1(relation_restriction(X1,X2)),esk9_1(relation_restriction(X1,X2)))),X1)
| ~ relation(relation_restriction(X1,X2))
| ~ relation(X1) ),
inference(csr,[status(thm)],[90709,1179]) ).
cnf(90711,plain,
( transitive(relation_restriction(X1,X2))
| ~ in(unordered_pair(singleton(esk7_1(relation_restriction(X1,X2))),unordered_pair(esk7_1(relation_restriction(X1,X2)),esk9_1(relation_restriction(X1,X2)))),X1)
| ~ relation(X1) ),
inference(csr,[status(thm)],[90710,110]) ).
cnf(90747,plain,
( transitive(relation_restriction(X1,X2))
| ~ relation(X1)
| ~ in(unordered_pair(singleton(esk7_1(relation_restriction(X1,X2))),unordered_pair(esk7_1(relation_restriction(X1,X2)),esk8_1(relation_restriction(X1,X2)))),X1)
| ~ transitive(X1) ),
inference(spm,[status(thm)],[90711,1342,theory(equality)]) ).
cnf(641632,plain,
( transitive(relation_restriction(X1,X2))
| ~ transitive(X1)
| ~ relation(X1) ),
inference(csr,[status(thm)],[90747,897]) ).
cnf(641634,negated_conjecture,
( ~ transitive(esk3_0)
| ~ relation(esk3_0) ),
inference(spm,[status(thm)],[53,641632,theory(equality)]) ).
cnf(641829,negated_conjecture,
( $false
| ~ relation(esk3_0) ),
inference(rw,[status(thm)],[641634,54,theory(equality)]) ).
cnf(641830,negated_conjecture,
( $false
| $false ),
inference(rw,[status(thm)],[641829,55,theory(equality)]) ).
cnf(641831,negated_conjecture,
$false,
inference(cn,[status(thm)],[641830,theory(equality)]) ).
cnf(641832,negated_conjecture,
$false,
641831,
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% % SZS status Started for /home/graph/tptp/TPTP/Problems/SEU/SEU254+1.p
% --creating new selector for []
% eprover: CPU time limit exceeded, terminating
% -running prover on /tmp/tmp0-vJgj/sel_SEU254+1.p_1 with time limit 29
% -prover status ResourceOut
% -running prover on /tmp/tmp0-vJgj/sel_SEU254+1.p_2 with time limit 81
% -prover status Theorem
% Problem SEU254+1.p solved in phase 1.
% % SZS status Theorem for /home/graph/tptp/TPTP/Problems/SEU/SEU254+1.p
% % SZS status Ended for /home/graph/tptp/TPTP/Problems/SEU/SEU254+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
%
%------------------------------------------------------------------------------