TSTP Solution File: REL008+4 by SInE---0.4
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- Process Solution
%------------------------------------------------------------------------------
% File : SInE---0.4
% Problem : REL008+4 : TPTP v5.0.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : Source/sine.py -e eprover -t %d %s
% Computer : art02.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 01:01:37 EST 2010
% Result : Theorem 196.94s
% Output : CNFRefutation 196.94s
% Verified :
% SZS Type : Refutation
% Derivation depth : 27
% Number of leaves : 11
% Syntax : Number of formulae : 95 ( 84 unt; 0 def)
% Number of atoms : 106 ( 103 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 32 ( 21 ~; 9 |; 2 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 2 avg)
% Maximal term depth : 12 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 3 con; 0-2 aty)
% Number of variables : 205 ( 12 sgn 50 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(2,axiom,
! [X1,X2,X3] : join(meet(composition(X1,X2),X3),meet(composition(X1,meet(X2,composition(converse(X1),X3))),X3)) = meet(composition(X1,meet(X2,composition(converse(X1),X3))),X3),
file('/tmp/tmpdzGMmk/sel_REL008+4.p_4',modular_law_1) ).
fof(3,axiom,
! [X1,X2,X3] : composition(join(X1,X2),X3) = join(composition(X1,X3),composition(X2,X3)),
file('/tmp/tmpdzGMmk/sel_REL008+4.p_4',composition_distributivity) ).
fof(4,axiom,
! [X1] : converse(converse(X1)) = X1,
file('/tmp/tmpdzGMmk/sel_REL008+4.p_4',converse_idempotence) ).
fof(5,axiom,
! [X1,X2] : converse(join(X1,X2)) = join(converse(X1),converse(X2)),
file('/tmp/tmpdzGMmk/sel_REL008+4.p_4',converse_additivity) ).
fof(6,axiom,
! [X1,X2] : join(X1,X2) = join(X2,X1),
file('/tmp/tmpdzGMmk/sel_REL008+4.p_4',maddux1_join_commutativity) ).
fof(9,axiom,
! [X1,X2] : join(composition(converse(X1),complement(composition(X1,X2))),complement(X2)) = complement(X2),
file('/tmp/tmpdzGMmk/sel_REL008+4.p_4',converse_cancellativity) ).
fof(10,axiom,
! [X1,X2] : meet(X1,X2) = complement(join(complement(X1),complement(X2))),
file('/tmp/tmpdzGMmk/sel_REL008+4.p_4',maddux4_definiton_of_meet) ).
fof(11,axiom,
! [X1,X2] : converse(composition(X1,X2)) = composition(converse(X2),converse(X1)),
file('/tmp/tmpdzGMmk/sel_REL008+4.p_4',converse_multiplicativity) ).
fof(12,axiom,
! [X1,X2,X3] : join(X1,join(X2,X3)) = join(join(X1,X2),X3),
file('/tmp/tmpdzGMmk/sel_REL008+4.p_4',maddux2_join_associativity) ).
fof(13,axiom,
! [X1,X2] : X1 = join(complement(join(complement(X1),complement(X2))),complement(join(complement(X1),X2))),
file('/tmp/tmpdzGMmk/sel_REL008+4.p_4',maddux3_a_kind_of_de_Morgan) ).
fof(14,conjecture,
! [X1,X2,X3] :
( join(join(composition(X1,join(X2,X3)),composition(X1,X2)),composition(X1,X3)) = join(composition(X1,X2),composition(X1,X3))
& join(join(composition(X1,X2),composition(X1,X3)),composition(X1,join(X2,X3))) = composition(X1,join(X2,X3)) ),
file('/tmp/tmpdzGMmk/sel_REL008+4.p_4',goals) ).
fof(15,negated_conjecture,
~ ! [X1,X2,X3] :
( join(join(composition(X1,join(X2,X3)),composition(X1,X2)),composition(X1,X3)) = join(composition(X1,X2),composition(X1,X3))
& join(join(composition(X1,X2),composition(X1,X3)),composition(X1,join(X2,X3))) = composition(X1,join(X2,X3)) ),
inference(assume_negation,[status(cth)],[14]) ).
fof(18,plain,
! [X4,X5,X6] : join(meet(composition(X4,X5),X6),meet(composition(X4,meet(X5,composition(converse(X4),X6))),X6)) = meet(composition(X4,meet(X5,composition(converse(X4),X6))),X6),
inference(variable_rename,[status(thm)],[2]) ).
cnf(19,plain,
join(meet(composition(X1,X2),X3),meet(composition(X1,meet(X2,composition(converse(X1),X3))),X3)) = meet(composition(X1,meet(X2,composition(converse(X1),X3))),X3),
inference(split_conjunct,[status(thm)],[18]) ).
fof(20,plain,
! [X4,X5,X6] : composition(join(X4,X5),X6) = join(composition(X4,X6),composition(X5,X6)),
inference(variable_rename,[status(thm)],[3]) ).
cnf(21,plain,
composition(join(X1,X2),X3) = join(composition(X1,X3),composition(X2,X3)),
inference(split_conjunct,[status(thm)],[20]) ).
fof(22,plain,
! [X2] : converse(converse(X2)) = X2,
inference(variable_rename,[status(thm)],[4]) ).
cnf(23,plain,
converse(converse(X1)) = X1,
inference(split_conjunct,[status(thm)],[22]) ).
fof(24,plain,
! [X3,X4] : converse(join(X3,X4)) = join(converse(X3),converse(X4)),
inference(variable_rename,[status(thm)],[5]) ).
cnf(25,plain,
converse(join(X1,X2)) = join(converse(X1),converse(X2)),
inference(split_conjunct,[status(thm)],[24]) ).
fof(26,plain,
! [X3,X4] : join(X3,X4) = join(X4,X3),
inference(variable_rename,[status(thm)],[6]) ).
cnf(27,plain,
join(X1,X2) = join(X2,X1),
inference(split_conjunct,[status(thm)],[26]) ).
fof(32,plain,
! [X3,X4] : join(composition(converse(X3),complement(composition(X3,X4))),complement(X4)) = complement(X4),
inference(variable_rename,[status(thm)],[9]) ).
cnf(33,plain,
join(composition(converse(X1),complement(composition(X1,X2))),complement(X2)) = complement(X2),
inference(split_conjunct,[status(thm)],[32]) ).
fof(34,plain,
! [X3,X4] : meet(X3,X4) = complement(join(complement(X3),complement(X4))),
inference(variable_rename,[status(thm)],[10]) ).
cnf(35,plain,
meet(X1,X2) = complement(join(complement(X1),complement(X2))),
inference(split_conjunct,[status(thm)],[34]) ).
fof(36,plain,
! [X3,X4] : converse(composition(X3,X4)) = composition(converse(X4),converse(X3)),
inference(variable_rename,[status(thm)],[11]) ).
cnf(37,plain,
converse(composition(X1,X2)) = composition(converse(X2),converse(X1)),
inference(split_conjunct,[status(thm)],[36]) ).
fof(38,plain,
! [X4,X5,X6] : join(X4,join(X5,X6)) = join(join(X4,X5),X6),
inference(variable_rename,[status(thm)],[12]) ).
cnf(39,plain,
join(X1,join(X2,X3)) = join(join(X1,X2),X3),
inference(split_conjunct,[status(thm)],[38]) ).
fof(40,plain,
! [X3,X4] : X3 = join(complement(join(complement(X3),complement(X4))),complement(join(complement(X3),X4))),
inference(variable_rename,[status(thm)],[13]) ).
cnf(41,plain,
X1 = join(complement(join(complement(X1),complement(X2))),complement(join(complement(X1),X2))),
inference(split_conjunct,[status(thm)],[40]) ).
fof(42,negated_conjecture,
? [X1,X2,X3] :
( join(join(composition(X1,join(X2,X3)),composition(X1,X2)),composition(X1,X3)) != join(composition(X1,X2),composition(X1,X3))
| join(join(composition(X1,X2),composition(X1,X3)),composition(X1,join(X2,X3))) != composition(X1,join(X2,X3)) ),
inference(fof_nnf,[status(thm)],[15]) ).
fof(43,negated_conjecture,
? [X4,X5,X6] :
( join(join(composition(X4,join(X5,X6)),composition(X4,X5)),composition(X4,X6)) != join(composition(X4,X5),composition(X4,X6))
| join(join(composition(X4,X5),composition(X4,X6)),composition(X4,join(X5,X6))) != composition(X4,join(X5,X6)) ),
inference(variable_rename,[status(thm)],[42]) ).
fof(44,negated_conjecture,
( join(join(composition(esk1_0,join(esk2_0,esk3_0)),composition(esk1_0,esk2_0)),composition(esk1_0,esk3_0)) != join(composition(esk1_0,esk2_0),composition(esk1_0,esk3_0))
| join(join(composition(esk1_0,esk2_0),composition(esk1_0,esk3_0)),composition(esk1_0,join(esk2_0,esk3_0))) != composition(esk1_0,join(esk2_0,esk3_0)) ),
inference(skolemize,[status(esa)],[43]) ).
cnf(45,negated_conjecture,
( join(join(composition(esk1_0,esk2_0),composition(esk1_0,esk3_0)),composition(esk1_0,join(esk2_0,esk3_0))) != composition(esk1_0,join(esk2_0,esk3_0))
| join(join(composition(esk1_0,join(esk2_0,esk3_0)),composition(esk1_0,esk2_0)),composition(esk1_0,esk3_0)) != join(composition(esk1_0,esk2_0),composition(esk1_0,esk3_0)) ),
inference(split_conjunct,[status(thm)],[44]) ).
cnf(46,plain,
join(complement(join(complement(composition(X1,X2)),complement(X3))),complement(join(complement(composition(X1,complement(join(complement(X2),complement(composition(converse(X1),X3)))))),complement(X3)))) = complement(join(complement(composition(X1,complement(join(complement(X2),complement(composition(converse(X1),X3)))))),complement(X3))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[19,35,theory(equality)]),35,theory(equality)]),35,theory(equality)]),35,theory(equality)]),35,theory(equality)]),
[unfolding] ).
cnf(55,plain,
join(join(X2,X1),X3) = join(X1,join(X2,X3)),
inference(spm,[status(thm)],[39,27,theory(equality)]) ).
cnf(59,plain,
join(X2,join(X1,X3)) = join(X1,join(X2,X3)),
inference(rw,[status(thm)],[55,39,theory(equality)]) ).
cnf(71,plain,
join(converse(composition(X2,X1)),composition(X3,converse(X2))) = composition(join(converse(X1),X3),converse(X2)),
inference(spm,[status(thm)],[21,37,theory(equality)]) ).
cnf(80,plain,
join(complement(X2),composition(converse(X1),complement(composition(X1,X2)))) = complement(X2),
inference(rw,[status(thm)],[33,27,theory(equality)]) ).
cnf(86,plain,
join(complement(join(complement(X1),X2)),complement(join(complement(X1),complement(X2)))) = X1,
inference(rw,[status(thm)],[41,27,theory(equality)]) ).
cnf(87,plain,
join(X1,X3) = join(complement(join(complement(X1),X2)),join(complement(join(complement(X1),complement(X2))),X3)),
inference(spm,[status(thm)],[39,86,theory(equality)]) ).
cnf(88,plain,
join(complement(complement(X1)),complement(join(complement(X1),complement(composition(converse(X2),complement(composition(X2,X1))))))) = X1,
inference(spm,[status(thm)],[86,80,theory(equality)]) ).
cnf(91,plain,
join(complement(join(X2,complement(X1))),complement(join(complement(X1),complement(X2)))) = X1,
inference(spm,[status(thm)],[86,27,theory(equality)]) ).
cnf(92,plain,
join(complement(join(complement(X1),X2)),complement(join(complement(X2),complement(X1)))) = X1,
inference(spm,[status(thm)],[86,27,theory(equality)]) ).
cnf(96,negated_conjecture,
( join(composition(esk1_0,esk2_0),join(composition(esk1_0,esk3_0),composition(esk1_0,join(esk2_0,esk3_0)))) != composition(esk1_0,join(esk2_0,esk3_0))
| join(join(composition(esk1_0,join(esk2_0,esk3_0)),composition(esk1_0,esk2_0)),composition(esk1_0,esk3_0)) != join(composition(esk1_0,esk2_0),composition(esk1_0,esk3_0)) ),
inference(rw,[status(thm)],[45,39,theory(equality)]) ).
cnf(97,negated_conjecture,
( join(composition(esk1_0,esk2_0),join(composition(esk1_0,esk3_0),composition(esk1_0,join(esk2_0,esk3_0)))) != composition(esk1_0,join(esk2_0,esk3_0))
| join(composition(esk1_0,esk2_0),join(composition(esk1_0,esk3_0),composition(esk1_0,join(esk2_0,esk3_0)))) != join(composition(esk1_0,esk2_0),composition(esk1_0,esk3_0)) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[96,27,theory(equality)]),39,theory(equality)]),27,theory(equality)]) ).
cnf(98,plain,
join(complement(join(complement(composition(X1,X2)),complement(X3))),complement(join(complement(X3),complement(composition(X1,complement(join(complement(X2),complement(composition(converse(X1),X3))))))))) = complement(join(complement(composition(X1,complement(join(complement(X2),complement(composition(converse(X1),X3)))))),complement(X3))),
inference(rw,[status(thm)],[46,27,theory(equality)]) ).
cnf(99,plain,
join(complement(join(complement(composition(X1,X2)),complement(X3))),complement(join(complement(X3),complement(composition(X1,complement(join(complement(X2),complement(composition(converse(X1),X3))))))))) = complement(join(complement(X3),complement(composition(X1,complement(join(complement(X2),complement(composition(converse(X1),X3)))))))),
inference(rw,[status(thm)],[98,27,theory(equality)]) ).
cnf(103,plain,
join(complement(join(complement(X3),complement(composition(X1,complement(join(complement(X2),complement(composition(converse(X1),X3)))))))),X4) = join(complement(join(complement(composition(X1,X2)),complement(X3))),join(complement(join(complement(X3),complement(composition(X1,complement(join(complement(X2),complement(composition(converse(X1),X3)))))))),X4)),
inference(spm,[status(thm)],[39,99,theory(equality)]) ).
cnf(225,plain,
join(X1,X2) = join(complement(join(complement(X2),X3)),join(X1,complement(join(complement(X2),complement(X3))))),
inference(spm,[status(thm)],[59,86,theory(equality)]) ).
cnf(642,plain,
join(converse(composition(X1,X2)),converse(composition(X1,X3))) = composition(join(converse(X2),converse(X3)),converse(X1)),
inference(spm,[status(thm)],[71,37,theory(equality)]) ).
cnf(662,plain,
converse(join(composition(X1,X2),composition(X1,X3))) = composition(join(converse(X2),converse(X3)),converse(X1)),
inference(rw,[status(thm)],[642,25,theory(equality)]) ).
cnf(663,plain,
converse(join(composition(X1,X2),composition(X1,X3))) = converse(composition(X1,join(X2,X3))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[662,25,theory(equality)]),37,theory(equality)]) ).
cnf(1160,plain,
join(complement(join(complement(X1),X2)),join(X1,X3)) = join(X1,join(complement(join(complement(X1),complement(complement(X2)))),X3)),
inference(spm,[status(thm)],[87,87,theory(equality)]) ).
cnf(1206,plain,
join(X1,join(complement(join(complement(X1),X2)),X3)) = join(X1,join(complement(join(complement(X1),complement(complement(X2)))),X3)),
inference(rw,[status(thm)],[1160,59,theory(equality)]) ).
cnf(1226,plain,
join(complement(X1),join(complement(join(complement(complement(X1)),complement(complement(join(complement(X1),complement(composition(converse(X2),complement(composition(X2,X1))))))))),X3)) = join(complement(X1),X3),
inference(spm,[status(thm)],[87,88,theory(equality)]) ).
cnf(1585,plain,
converse(converse(composition(X1,join(X2,X3)))) = join(composition(X1,X2),composition(X1,X3)),
inference(spm,[status(thm)],[23,663,theory(equality)]) ).
cnf(1625,plain,
composition(X1,join(X2,X3)) = join(composition(X1,X2),composition(X1,X3)),
inference(rw,[status(thm)],[1585,23,theory(equality)]) ).
cnf(1666,plain,
composition(X1,join(X2,X2)) = composition(join(X1,X1),X2),
inference(spm,[status(thm)],[21,1625,theory(equality)]) ).
cnf(1685,negated_conjecture,
( composition(esk1_0,join(esk2_0,join(esk2_0,join(esk3_0,esk3_0)))) != join(composition(esk1_0,esk2_0),composition(esk1_0,esk3_0))
| join(composition(esk1_0,esk2_0),join(composition(esk1_0,esk3_0),composition(esk1_0,join(esk2_0,esk3_0)))) != composition(esk1_0,join(esk2_0,esk3_0)) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[97,1625,theory(equality)]),59,theory(equality)]),1625,theory(equality)]) ).
cnf(1686,negated_conjecture,
( composition(esk1_0,join(esk2_0,join(esk2_0,join(esk3_0,esk3_0)))) != composition(esk1_0,join(esk2_0,esk3_0))
| join(composition(esk1_0,esk2_0),join(composition(esk1_0,esk3_0),composition(esk1_0,join(esk2_0,esk3_0)))) != composition(esk1_0,join(esk2_0,esk3_0)) ),
inference(rw,[status(thm)],[1685,1625,theory(equality)]) ).
cnf(1687,negated_conjecture,
( composition(esk1_0,join(esk2_0,join(esk2_0,join(esk3_0,esk3_0)))) != composition(esk1_0,join(esk2_0,esk3_0))
| composition(esk1_0,join(esk2_0,join(esk2_0,join(esk3_0,esk3_0)))) != composition(esk1_0,join(esk2_0,esk3_0)) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1686,1625,theory(equality)]),59,theory(equality)]),1625,theory(equality)]) ).
cnf(1688,negated_conjecture,
composition(esk1_0,join(esk2_0,join(esk2_0,join(esk3_0,esk3_0)))) != composition(esk1_0,join(esk2_0,esk3_0)),
inference(cn,[status(thm)],[1687,theory(equality)]) ).
cnf(1781,plain,
composition(X1,join(X2,join(join(X2,X3),X3))) = composition(join(X1,X1),join(X2,X3)),
inference(spm,[status(thm)],[1666,59,theory(equality)]) ).
cnf(1825,plain,
composition(X1,join(X2,join(X2,join(X3,X3)))) = composition(join(X1,X1),join(X2,X3)),
inference(rw,[status(thm)],[1781,39,theory(equality)]) ).
cnf(2318,plain,
join(complement(join(complement(composition(X1,X2)),complement(X3))),X3) = X3,
inference(spm,[status(thm)],[103,86,theory(equality)]) ).
cnf(2383,plain,
join(X3,complement(join(complement(composition(X1,X2)),complement(X3)))) = X3,
inference(rw,[status(thm)],[2318,27,theory(equality)]) ).
cnf(2455,plain,
join(X1,complement(join(complement(X1),complement(composition(X2,X3))))) = X1,
inference(spm,[status(thm)],[2383,27,theory(equality)]) ).
cnf(17223,negated_conjecture,
composition(join(esk1_0,esk1_0),join(esk2_0,esk3_0)) != composition(esk1_0,join(esk2_0,esk3_0)),
inference(rw,[status(thm)],[1688,1825,theory(equality)]) ).
cnf(23429,plain,
join(complement(join(complement(composition(X1,X2)),X3)),X3) = join(X3,composition(X1,X2)),
inference(spm,[status(thm)],[225,2383,theory(equality)]) ).
cnf(23432,plain,
join(complement(join(complement(X1),composition(X2,X3))),X1) = join(X1,X1),
inference(spm,[status(thm)],[225,2455,theory(equality)]) ).
cnf(23610,plain,
join(X3,complement(join(complement(composition(X1,X2)),X3))) = join(X3,composition(X1,X2)),
inference(rw,[status(thm)],[23429,27,theory(equality)]) ).
cnf(23612,plain,
join(X1,complement(join(complement(X1),composition(X2,X3)))) = join(X1,X1),
inference(rw,[status(thm)],[23432,27,theory(equality)]) ).
cnf(24298,plain,
join(X1,complement(complement(X1))) = join(X1,X1),
inference(spm,[status(thm)],[23612,80,theory(equality)]) ).
cnf(24594,plain,
join(complement(join(X1,X1)),complement(join(complement(complement(X1)),complement(X1)))) = complement(X1),
inference(spm,[status(thm)],[91,24298,theory(equality)]) ).
cnf(24686,plain,
join(complement(join(X1,X1)),complement(join(complement(X1),complement(complement(X1))))) = complement(X1),
inference(rw,[status(thm)],[24594,27,theory(equality)]) ).
cnf(177183,plain,
join(complement(X1),join(complement(join(complement(X1),join(complement(complement(X1)),complement(composition(converse(X2),complement(composition(X2,X1))))))),X3)) = join(complement(X1),X3),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[1226,1206,theory(equality)]),59,theory(equality)]) ).
cnf(177190,plain,
join(complement(X1),X1) = join(complement(X1),complement(join(complement(X1),complement(join(complement(complement(X1)),complement(composition(converse(X2),complement(composition(X2,X1))))))))),
inference(spm,[status(thm)],[177183,86,theory(equality)]) ).
cnf(177629,plain,
join(X1,complement(X1)) = join(complement(X1),complement(join(complement(X1),complement(join(complement(complement(X1)),complement(composition(converse(X2),complement(composition(X2,X1))))))))),
inference(rw,[status(thm)],[177190,27,theory(equality)]) ).
cnf(177630,plain,
join(X1,complement(X1)) = join(complement(X1),complement(complement(X1))),
inference(rw,[status(thm)],[177629,2455,theory(equality)]) ).
cnf(192028,plain,
join(complement(join(X1,X1)),complement(join(X1,complement(X1)))) = complement(X1),
inference(rw,[status(thm)],[24686,177630,theory(equality)]) ).
cnf(192191,plain,
complement(complement(X1)) = X1,
inference(spm,[status(thm)],[86,192028,theory(equality)]) ).
cnf(192556,plain,
join(complement(join(X1,X2)),complement(join(complement(X2),X1))) = complement(X1),
inference(spm,[status(thm)],[92,192191,theory(equality)]) ).
cnf(208719,plain,
join(complement(join(complement(join(complement(composition(X1,X2)),complement(complement(X3)))),X3)),complement(complement(X3))) = complement(complement(join(complement(composition(X1,X2)),complement(complement(X3))))),
inference(spm,[status(thm)],[192556,2383,theory(equality)]) ).
cnf(209359,plain,
join(X3,complement(join(X3,composition(X1,X2)))) = complement(complement(join(complement(composition(X1,X2)),complement(complement(X3))))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[208719,27,theory(equality)]),192191,theory(equality)]),23610,theory(equality)]),192191,theory(equality)]),27,theory(equality)]) ).
cnf(209360,plain,
join(X3,complement(join(X3,composition(X1,X2)))) = join(complement(composition(X1,X2)),X3),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[209359,192191,theory(equality)]),192191,theory(equality)]) ).
cnf(211286,plain,
join(complement(join(complement(composition(X1,X2)),composition(X3,X4))),complement(join(complement(composition(X3,X4)),complement(composition(X1,X2))))) = join(complement(join(complement(composition(X1,X2)),composition(X3,X4))),composition(X1,X2)),
inference(spm,[status(thm)],[23610,209360,theory(equality)]) ).
cnf(211749,plain,
composition(X1,X2) = join(complement(join(complement(composition(X1,X2)),composition(X3,X4))),composition(X1,X2)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[211286,192556,theory(equality)]),192191,theory(equality)]) ).
cnf(211750,plain,
composition(X1,X2) = composition(X1,join(X2,X2)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[211749,27,theory(equality)]),23612,theory(equality)]),1625,theory(equality)]) ).
cnf(212496,plain,
composition(X1,X2) = composition(join(X1,X1),X2),
inference(rw,[status(thm)],[1666,211750,theory(equality)]) ).
cnf(213366,negated_conjecture,
$false,
inference(rw,[status(thm)],[17223,212496,theory(equality)]) ).
cnf(213367,negated_conjecture,
$false,
inference(cn,[status(thm)],[213366,theory(equality)]) ).
cnf(213368,negated_conjecture,
$false,
213367,
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% % SZS status Started for /home/graph/tptp/TPTP/Problems/REL/REL008+4.p
% --creating new selector for [REL001+0.ax, REL001+1.ax]
% eprover: CPU time limit exceeded, terminating
% eprover: CPU time limit exceeded, terminating
% -running prover on /tmp/tmpdzGMmk/sel_REL008+4.p_1 with time limit 29
% -prover status ResourceOut
% -running prover on /tmp/tmpdzGMmk/sel_REL008+4.p_2 with time limit 80
% -prover status ResourceOut
% --creating new selector for [REL001+0.ax, REL001+1.ax]
% eprover: CPU time limit exceeded, terminating
% -running prover on /tmp/tmpdzGMmk/sel_REL008+4.p_3 with time limit 74
% -prover status ResourceOut
% --creating new selector for [REL001+0.ax, REL001+1.ax]
% -running prover on /tmp/tmpdzGMmk/sel_REL008+4.p_4 with time limit 55
% -prover status Theorem
% Problem REL008+4.p solved in phase 3.
% % SZS status Theorem for /home/graph/tptp/TPTP/Problems/REL/REL008+4.p
% % SZS status Ended for /home/graph/tptp/TPTP/Problems/REL/REL008+4.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
%
%------------------------------------------------------------------------------