TSTP Solution File: REL005+2 by SInE---0.4
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- Process Solution
%------------------------------------------------------------------------------
% File : SInE---0.4
% Problem : REL005+2 : 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 01:00:25 EST 2010
% Result : Theorem 4.71s
% Output : CNFRefutation 4.71s
% Verified :
% SZS Type : Refutation
% Derivation depth : 50
% Number of leaves : 8
% Syntax : Number of formulae : 123 ( 109 unt; 0 def)
% Number of atoms : 137 ( 132 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 36 ( 22 ~; 12 |; 2 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 2 avg)
% Maximal term depth : 12 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 2 con; 0-2 aty)
% Number of variables : 230 ( 9 sgn 32 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(2,axiom,
! [X1] : converse(converse(X1)) = X1,
file('/tmp/tmpGpyP7C/sel_REL005+2.p_1',converse_idempotence) ).
fof(4,axiom,
! [X1,X2] : converse(join(X1,X2)) = join(converse(X1),converse(X2)),
file('/tmp/tmpGpyP7C/sel_REL005+2.p_1',converse_additivity) ).
fof(5,axiom,
! [X1,X2] : join(X1,X2) = join(X2,X1),
file('/tmp/tmpGpyP7C/sel_REL005+2.p_1',maddux1_join_commutativity) ).
fof(7,axiom,
! [X1,X2] : join(composition(converse(X1),complement(composition(X1,X2))),complement(X2)) = complement(X2),
file('/tmp/tmpGpyP7C/sel_REL005+2.p_1',converse_cancellativity) ).
fof(8,axiom,
! [X1,X2] : meet(X1,X2) = complement(join(complement(X1),complement(X2))),
file('/tmp/tmpGpyP7C/sel_REL005+2.p_1',maddux4_definiton_of_meet) ).
fof(9,axiom,
! [X1,X2,X3] : join(X1,join(X2,X3)) = join(join(X1,X2),X3),
file('/tmp/tmpGpyP7C/sel_REL005+2.p_1',maddux2_join_associativity) ).
fof(10,axiom,
! [X1,X2] : X1 = join(complement(join(complement(X1),complement(X2))),complement(join(complement(X1),X2))),
file('/tmp/tmpGpyP7C/sel_REL005+2.p_1',maddux3_a_kind_of_de_Morgan) ).
fof(11,conjecture,
! [X1,X2] :
( join(converse(meet(X1,X2)),meet(converse(X1),converse(X2))) = meet(converse(X1),converse(X2))
& join(meet(converse(X1),converse(X2)),converse(meet(X1,X2))) = converse(meet(X1,X2)) ),
file('/tmp/tmpGpyP7C/sel_REL005+2.p_1',goals) ).
fof(12,negated_conjecture,
~ ! [X1,X2] :
( join(converse(meet(X1,X2)),meet(converse(X1),converse(X2))) = meet(converse(X1),converse(X2))
& join(meet(converse(X1),converse(X2)),converse(meet(X1,X2))) = converse(meet(X1,X2)) ),
inference(assume_negation,[status(cth)],[11]) ).
fof(15,plain,
! [X2] : converse(converse(X2)) = X2,
inference(variable_rename,[status(thm)],[2]) ).
cnf(16,plain,
converse(converse(X1)) = X1,
inference(split_conjunct,[status(thm)],[15]) ).
fof(19,plain,
! [X3,X4] : converse(join(X3,X4)) = join(converse(X3),converse(X4)),
inference(variable_rename,[status(thm)],[4]) ).
cnf(20,plain,
converse(join(X1,X2)) = join(converse(X1),converse(X2)),
inference(split_conjunct,[status(thm)],[19]) ).
fof(21,plain,
! [X3,X4] : join(X3,X4) = join(X4,X3),
inference(variable_rename,[status(thm)],[5]) ).
cnf(22,plain,
join(X1,X2) = join(X2,X1),
inference(split_conjunct,[status(thm)],[21]) ).
fof(25,plain,
! [X3,X4] : join(composition(converse(X3),complement(composition(X3,X4))),complement(X4)) = complement(X4),
inference(variable_rename,[status(thm)],[7]) ).
cnf(26,plain,
join(composition(converse(X1),complement(composition(X1,X2))),complement(X2)) = complement(X2),
inference(split_conjunct,[status(thm)],[25]) ).
fof(27,plain,
! [X3,X4] : meet(X3,X4) = complement(join(complement(X3),complement(X4))),
inference(variable_rename,[status(thm)],[8]) ).
cnf(28,plain,
meet(X1,X2) = complement(join(complement(X1),complement(X2))),
inference(split_conjunct,[status(thm)],[27]) ).
fof(29,plain,
! [X4,X5,X6] : join(X4,join(X5,X6)) = join(join(X4,X5),X6),
inference(variable_rename,[status(thm)],[9]) ).
cnf(30,plain,
join(X1,join(X2,X3)) = join(join(X1,X2),X3),
inference(split_conjunct,[status(thm)],[29]) ).
fof(31,plain,
! [X3,X4] : X3 = join(complement(join(complement(X3),complement(X4))),complement(join(complement(X3),X4))),
inference(variable_rename,[status(thm)],[10]) ).
cnf(32,plain,
X1 = join(complement(join(complement(X1),complement(X2))),complement(join(complement(X1),X2))),
inference(split_conjunct,[status(thm)],[31]) ).
fof(33,negated_conjecture,
? [X1,X2] :
( join(converse(meet(X1,X2)),meet(converse(X1),converse(X2))) != meet(converse(X1),converse(X2))
| join(meet(converse(X1),converse(X2)),converse(meet(X1,X2))) != converse(meet(X1,X2)) ),
inference(fof_nnf,[status(thm)],[12]) ).
fof(34,negated_conjecture,
? [X3,X4] :
( join(converse(meet(X3,X4)),meet(converse(X3),converse(X4))) != meet(converse(X3),converse(X4))
| join(meet(converse(X3),converse(X4)),converse(meet(X3,X4))) != converse(meet(X3,X4)) ),
inference(variable_rename,[status(thm)],[33]) ).
fof(35,negated_conjecture,
( join(converse(meet(esk1_0,esk2_0)),meet(converse(esk1_0),converse(esk2_0))) != meet(converse(esk1_0),converse(esk2_0))
| join(meet(converse(esk1_0),converse(esk2_0)),converse(meet(esk1_0,esk2_0))) != converse(meet(esk1_0,esk2_0)) ),
inference(skolemize,[status(esa)],[34]) ).
cnf(36,negated_conjecture,
( join(meet(converse(esk1_0),converse(esk2_0)),converse(meet(esk1_0,esk2_0))) != converse(meet(esk1_0,esk2_0))
| join(converse(meet(esk1_0,esk2_0)),meet(converse(esk1_0),converse(esk2_0))) != meet(converse(esk1_0),converse(esk2_0)) ),
inference(split_conjunct,[status(thm)],[35]) ).
cnf(37,negated_conjecture,
( join(complement(join(complement(converse(esk1_0)),complement(converse(esk2_0)))),converse(complement(join(complement(esk1_0),complement(esk2_0))))) != converse(complement(join(complement(esk1_0),complement(esk2_0))))
| join(converse(complement(join(complement(esk1_0),complement(esk2_0)))),complement(join(complement(converse(esk1_0)),complement(converse(esk2_0))))) != complement(join(complement(converse(esk1_0)),complement(converse(esk2_0)))) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[36,28,theory(equality)]),28,theory(equality)]),28,theory(equality)]),28,theory(equality)]),28,theory(equality)]),28,theory(equality)]),
[unfolding] ).
cnf(38,plain,
join(X1,converse(X2)) = converse(join(converse(X1),X2)),
inference(spm,[status(thm)],[20,16,theory(equality)]) ).
cnf(39,plain,
join(converse(X1),X2) = converse(join(X1,converse(X2))),
inference(spm,[status(thm)],[20,16,theory(equality)]) ).
cnf(46,plain,
join(X1,join(X2,X3)) = join(X3,join(X1,X2)),
inference(spm,[status(thm)],[22,30,theory(equality)]) ).
cnf(48,plain,
join(join(X2,X1),X3) = join(X1,join(X2,X3)),
inference(spm,[status(thm)],[30,22,theory(equality)]) ).
cnf(52,plain,
join(X2,join(X1,X3)) = join(X1,join(X2,X3)),
inference(rw,[status(thm)],[48,30,theory(equality)]) ).
cnf(54,plain,
join(complement(join(complement(X1),X2)),complement(join(complement(X1),complement(X2)))) = X1,
inference(rw,[status(thm)],[32,22,theory(equality)]) ).
cnf(55,plain,
join(X1,X3) = join(complement(join(complement(X1),X2)),join(complement(join(complement(X1),complement(X2))),X3)),
inference(spm,[status(thm)],[30,54,theory(equality)]) ).
cnf(56,plain,
join(complement(X1),complement(join(complement(join(complement(X1),X2)),complement(complement(join(complement(X1),complement(X2))))))) = join(complement(X1),X2),
inference(spm,[status(thm)],[54,54,theory(equality)]) ).
cnf(58,plain,
join(complement(join(X2,complement(X1))),complement(join(complement(X1),complement(X2)))) = X1,
inference(spm,[status(thm)],[54,22,theory(equality)]) ).
cnf(59,plain,
join(complement(join(complement(X1),X2)),complement(join(complement(X2),complement(X1)))) = X1,
inference(spm,[status(thm)],[54,22,theory(equality)]) ).
cnf(65,plain,
join(complement(X2),composition(converse(X1),complement(composition(X1,X2)))) = complement(X2),
inference(rw,[status(thm)],[26,22,theory(equality)]) ).
cnf(67,plain,
join(complement(X1),X3) = join(complement(X1),join(composition(converse(X2),complement(composition(X2,X1))),X3)),
inference(spm,[status(thm)],[30,65,theory(equality)]) ).
cnf(85,negated_conjecture,
( join(converse(complement(join(complement(esk1_0),complement(esk2_0)))),complement(join(complement(converse(esk1_0)),complement(converse(esk2_0))))) != converse(complement(join(complement(esk1_0),complement(esk2_0))))
| join(converse(complement(join(complement(esk1_0),complement(esk2_0)))),complement(join(complement(converse(esk1_0)),complement(converse(esk2_0))))) != complement(join(complement(converse(esk1_0)),complement(converse(esk2_0)))) ),
inference(rw,[status(thm)],[37,22,theory(equality)]) ).
cnf(109,plain,
converse(join(X1,join(X2,converse(X3)))) = join(converse(join(X1,X2)),X3),
inference(spm,[status(thm)],[39,30,theory(equality)]) ).
cnf(228,plain,
join(complement(join(X3,join(complement(X1),X2))),complement(join(complement(X1),complement(join(X2,X3))))) = X1,
inference(spm,[status(thm)],[54,46,theory(equality)]) ).
cnf(229,plain,
join(complement(join(X2,join(X3,complement(X1)))),complement(join(complement(X1),complement(join(X2,X3))))) = X1,
inference(spm,[status(thm)],[54,46,theory(equality)]) ).
cnf(288,plain,
join(X1,X2) = join(complement(join(complement(X2),X3)),join(X1,complement(join(complement(X2),complement(X3))))),
inference(spm,[status(thm)],[52,54,theory(equality)]) ).
cnf(348,plain,
join(complement(join(complement(X1),X2)),X1) = join(X1,complement(join(complement(X1),complement(complement(X2))))),
inference(spm,[status(thm)],[55,54,theory(equality)]) ).
cnf(377,plain,
join(X1,complement(join(complement(X1),X2))) = join(X1,complement(join(complement(X1),complement(complement(X2))))),
inference(rw,[status(thm)],[348,22,theory(equality)]) ).
cnf(393,plain,
join(complement(X1),composition(join(converse(join(X2,X3)),X4),complement(composition(join(X2,join(X3,converse(X4))),X1)))) = complement(X1),
inference(spm,[status(thm)],[65,109,theory(equality)]) ).
cnf(509,plain,
join(complement(X1),complement(join(complement(complement(X1)),complement(complement(join(complement(X1),complement(composition(converse(X2),complement(composition(X2,X1)))))))))) = complement(X1),
inference(spm,[status(thm)],[56,65,theory(equality)]) ).
cnf(835,plain,
join(complement(join(X1,complement(X2))),complement(join(complement(X1),complement(X2)))) = X2,
inference(spm,[status(thm)],[58,22,theory(equality)]) ).
cnf(876,plain,
join(complement(join(complement(X1),X2)),X1) = join(X1,complement(join(complement(complement(X2)),complement(X1)))),
inference(spm,[status(thm)],[55,59,theory(equality)]) ).
cnf(899,plain,
join(X1,X2) = join(complement(join(complement(X2),X3)),join(X1,complement(join(complement(X3),complement(X2))))),
inference(spm,[status(thm)],[52,59,theory(equality)]) ).
cnf(914,plain,
join(X1,complement(join(complement(X1),X2))) = join(X1,complement(join(complement(complement(X2)),complement(X1)))),
inference(rw,[status(thm)],[876,22,theory(equality)]) ).
cnf(987,plain,
join(complement(X1),join(composition(join(converse(join(X2,X3)),X4),complement(composition(join(X2,join(X3,converse(X4))),X1))),X5)) = join(complement(X1),X5),
inference(spm,[status(thm)],[67,109,theory(equality)]) ).
cnf(7507,plain,
join(complement(join(complement(X1),X2)),X2) = join(complement(join(X1,complement(X2))),X1),
inference(spm,[status(thm)],[288,835,theory(equality)]) ).
cnf(7515,plain,
join(complement(join(complement(complement(X1)),X2)),join(X2,complement(join(complement(X2),X1)))) = join(X2,complement(X1)),
inference(spm,[status(thm)],[288,914,theory(equality)]) ).
cnf(7627,plain,
join(X2,complement(join(complement(X1),X2))) = join(complement(join(X1,complement(X2))),X1),
inference(rw,[status(thm)],[7507,22,theory(equality)]) ).
cnf(7628,plain,
join(X2,complement(join(complement(X1),X2))) = join(X1,complement(join(X1,complement(X2)))),
inference(rw,[status(thm)],[7627,22,theory(equality)]) ).
cnf(7632,plain,
join(X2,join(complement(join(complement(X2),X1)),complement(join(complement(complement(X1)),X2)))) = join(X2,complement(X1)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[7515,46,theory(equality)]),22,theory(equality)]),52,theory(equality)]) ).
cnf(20991,plain,
join(complement(X1),X1) = join(complement(X1),complement(complement(X1))),
inference(spm,[status(thm)],[7632,835,theory(equality)]) ).
cnf(21237,plain,
join(X1,complement(X1)) = join(complement(X1),complement(complement(X1))),
inference(rw,[status(thm)],[20991,22,theory(equality)]) ).
cnf(21496,plain,
join(join(X1,complement(X1)),X2) = join(complement(X1),join(complement(complement(X1)),X2)),
inference(spm,[status(thm)],[30,21237,theory(equality)]) ).
cnf(21508,plain,
join(complement(join(complement(complement(X1)),X1)),complement(join(X1,complement(X1)))) = complement(X1),
inference(spm,[status(thm)],[59,21237,theory(equality)]) ).
cnf(21599,plain,
join(X1,join(complement(X1),X2)) = join(complement(X1),join(complement(complement(X1)),X2)),
inference(rw,[status(thm)],[21496,30,theory(equality)]) ).
cnf(21607,plain,
join(complement(join(X1,complement(X1))),complement(join(X1,complement(complement(X1))))) = complement(X1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[21508,22,theory(equality)]),22,theory(equality)]) ).
cnf(23691,plain,
join(complement(X1),complement(join(X1,join(complement(X1),complement(composition(converse(X2),complement(composition(X2,X1)))))))) = complement(X1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[509,377,theory(equality)]),52,theory(equality)]),21599,theory(equality)]) ).
cnf(30691,plain,
complement(complement(X1)) = X1,
inference(spm,[status(thm)],[54,21607,theory(equality)]) ).
cnf(30966,plain,
join(complement(join(X1,X2)),complement(join(X1,complement(X2)))) = complement(X1),
inference(spm,[status(thm)],[54,30691,theory(equality)]) ).
cnf(30973,plain,
join(complement(join(X1,X2)),complement(join(X2,complement(X1)))) = complement(X2),
inference(spm,[status(thm)],[58,30691,theory(equality)]) ).
cnf(30975,plain,
join(complement(join(X1,X2)),complement(join(complement(X2),X1))) = complement(X1),
inference(spm,[status(thm)],[59,30691,theory(equality)]) ).
cnf(30979,plain,
join(complement(join(X1,X2)),complement(join(complement(X1),X2))) = complement(X2),
inference(spm,[status(thm)],[835,30691,theory(equality)]) ).
cnf(30998,plain,
join(complement(join(X1,X2)),join(X3,complement(join(X1,complement(X2))))) = join(X3,complement(X1)),
inference(spm,[status(thm)],[288,30691,theory(equality)]) ).
cnf(31849,plain,
join(complement(join(X1,join(complement(X2),complement(join(X2,X1))))),complement(complement(X1))) = join(X2,X1),
inference(spm,[status(thm)],[229,30973,theory(equality)]) ).
cnf(32050,plain,
join(X1,complement(join(X1,join(complement(X2),complement(join(X2,X1)))))) = join(X2,X1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[31849,30691,theory(equality)]),22,theory(equality)]) ).
cnf(32255,plain,
join(complement(converse(join(X1,X2))),complement(join(complement(converse(X2)),converse(X1)))) = complement(converse(X1)),
inference(spm,[status(thm)],[30975,20,theory(equality)]) ).
cnf(44351,plain,
join(complement(join(X1,X2)),join(X2,complement(join(complement(X1),X2)))) = join(X1,complement(X1)),
inference(spm,[status(thm)],[30998,7628,theory(equality)]) ).
cnf(44671,plain,
join(X2,complement(X2)) = join(X1,complement(X1)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[44351,52,theory(equality)]),30979,theory(equality)]) ).
cnf(45221,plain,
join(X3,complement(X3)) = join(X1,join(X2,complement(join(X1,X2)))),
inference(spm,[status(thm)],[30,44671,theory(equality)]) ).
cnf(45224,plain,
converse(join(X2,complement(X2))) = join(X1,converse(complement(converse(X1)))),
inference(spm,[status(thm)],[38,44671,theory(equality)]) ).
cnf(45385,plain,
join(complement(join(X1,X1)),complement(join(X2,complement(X2)))) = complement(X1),
inference(spm,[status(thm)],[30966,44671,theory(equality)]) ).
cnf(49913,plain,
join(X1,complement(X1)) = join(join(X2,X2),complement(X2)),
inference(spm,[status(thm)],[45221,45385,theory(equality)]) ).
cnf(50222,plain,
join(X1,complement(X1)) = join(X2,join(X2,complement(X2))),
inference(rw,[status(thm)],[49913,30,theory(equality)]) ).
cnf(51140,plain,
join(X1,complement(X1)) = join(X2,join(X3,complement(X3))),
inference(spm,[status(thm)],[50222,44671,theory(equality)]) ).
cnf(51636,plain,
join(X3,complement(X3)) = join(join(X2,complement(X2)),X1),
inference(spm,[status(thm)],[22,51140,theory(equality)]) ).
cnf(51827,plain,
join(X3,complement(X3)) = join(X2,join(complement(X2),X1)),
inference(rw,[status(thm)],[51636,30,theory(equality)]) ).
cnf(52071,plain,
join(complement(X1),complement(join(X3,complement(X3)))) = complement(X1),
inference(spm,[status(thm)],[23691,51827,theory(equality)]) ).
cnf(53897,plain,
complement(join(X1,X1)) = complement(X1),
inference(rw,[status(thm)],[45385,52071,theory(equality)]) ).
cnf(54088,plain,
join(complement(join(X1,join(complement(X2),X3))),complement(join(complement(X2),complement(join(X3,X1))))) = join(X2,X2),
inference(spm,[status(thm)],[228,53897,theory(equality)]) ).
cnf(54285,plain,
X2 = join(X2,X2),
inference(rw,[status(thm)],[54088,228,theory(equality)]) ).
cnf(54479,plain,
join(X1,X2) = join(X1,join(X1,X2)),
inference(spm,[status(thm)],[30,54285,theory(equality)]) ).
cnf(56108,plain,
join(complement(join(complement(X1),X2)),complement(join(complement(X2),complement(X1)))) = join(complement(join(complement(X1),X2)),X1),
inference(spm,[status(thm)],[899,54479,theory(equality)]) ).
cnf(56124,plain,
join(complement(join(X1,X2)),complement(X1)) = complement(X1),
inference(spm,[status(thm)],[54479,30966,theory(equality)]) ).
cnf(56126,plain,
join(complement(join(X1,X2)),complement(X2)) = complement(X2),
inference(spm,[status(thm)],[54479,30973,theory(equality)]) ).
cnf(56422,plain,
X1 = join(complement(join(complement(X1),X2)),X1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[56108,30975,theory(equality)]),30691,theory(equality)]) ).
cnf(56423,plain,
X1 = join(X1,complement(join(complement(X1),X2))),
inference(rw,[status(thm)],[56422,22,theory(equality)]) ).
cnf(56443,plain,
join(complement(X1),complement(join(X1,X2))) = complement(X1),
inference(rw,[status(thm)],[56124,22,theory(equality)]) ).
cnf(56445,plain,
join(complement(X2),complement(join(X1,X2))) = complement(X2),
inference(rw,[status(thm)],[56126,22,theory(equality)]) ).
cnf(59302,plain,
join(X1,complement(converse(join(X2,complement(X2))))) = X1,
inference(spm,[status(thm)],[56423,45224,theory(equality)]) ).
cnf(60960,plain,
join(X1,complement(join(X1,complement(X2)))) = join(X2,X1),
inference(rw,[status(thm)],[32050,56443,theory(equality)]) ).
cnf(61968,plain,
join(complement(join(X1,X2)),complement(complement(X1))) = join(join(X1,complement(X2)),complement(join(X1,X2))),
inference(spm,[status(thm)],[60960,30966,theory(equality)]) ).
cnf(62176,plain,
join(X1,complement(join(X1,X2))) = join(join(X1,complement(X2)),complement(join(X1,X2))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[61968,30691,theory(equality)]),22,theory(equality)]) ).
cnf(62177,plain,
join(X1,complement(join(X1,X2))) = join(X1,complement(X2)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[62176,30,theory(equality)]),56445,theory(equality)]) ).
cnf(64810,plain,
join(complement(join(complement(X1),complement(X5))),complement(join(complement(X5),complement(join(complement(X1),composition(join(converse(join(X2,X3)),X4),complement(composition(join(X2,join(X3,converse(X4))),X1)))))))) = X5,
inference(spm,[status(thm)],[229,987,theory(equality)]) ).
cnf(65239,plain,
complement(complement(X5)) = X5,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[64810,393,theory(equality)]),30691,theory(equality)]),22,theory(equality)]),30975,theory(equality)]) ).
cnf(76390,plain,
join(X1,complement(converse(join(X2,complement(X2))))) = join(X1,complement(converse(complement(converse(X1))))),
inference(spm,[status(thm)],[62177,45224,theory(equality)]) ).
cnf(76661,plain,
X1 = join(X1,complement(converse(complement(converse(X1))))),
inference(rw,[status(thm)],[76390,59302,theory(equality)]) ).
cnf(76679,plain,
converse(converse(X1)) = join(X1,converse(complement(converse(complement(converse(converse(X1))))))),
inference(spm,[status(thm)],[38,76661,theory(equality)]) ).
cnf(76852,plain,
X1 = join(X1,converse(complement(converse(complement(converse(converse(X1))))))),
inference(rw,[status(thm)],[76679,16,theory(equality)]) ).
cnf(76853,plain,
X1 = join(X1,converse(complement(converse(complement(X1))))),
inference(rw,[status(thm)],[76852,16,theory(equality)]) ).
cnf(77470,plain,
join(complement(converse(join(complement(converse(complement(complement(converse(X1))))),X1))),complement(complement(converse(X1)))) = complement(converse(complement(converse(complement(complement(converse(X1))))))),
inference(spm,[status(thm)],[32255,76853,theory(equality)]) ).
cnf(77630,plain,
converse(X1) = complement(converse(complement(converse(complement(complement(converse(X1))))))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[77470,30691,theory(equality)]),16,theory(equality)]),22,theory(equality)]),30691,theory(equality)]),22,theory(equality)]),59302,theory(equality)]) ).
cnf(77631,plain,
converse(X1) = complement(converse(complement(X1))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[77630,30691,theory(equality)]),16,theory(equality)]) ).
cnf(77793,plain,
complement(converse(X1)) = converse(complement(X1)),
inference(spm,[status(thm)],[65239,77631,theory(equality)]) ).
cnf(77898,plain,
join(complement(converse(X1)),converse(X2)) = converse(join(complement(X1),X2)),
inference(spm,[status(thm)],[20,77793,theory(equality)]) ).
cnf(78033,negated_conjecture,
( join(complement(converse(join(complement(esk1_0),complement(esk2_0)))),complement(join(complement(converse(esk1_0)),complement(converse(esk2_0))))) != complement(join(complement(converse(esk1_0)),complement(converse(esk2_0))))
| join(converse(complement(join(complement(esk1_0),complement(esk2_0)))),complement(join(complement(converse(esk1_0)),complement(converse(esk2_0))))) != converse(complement(join(complement(esk1_0),complement(esk2_0)))) ),
inference(rw,[status(thm)],[85,77793,theory(equality)]) ).
cnf(78034,negated_conjecture,
( join(complement(converse(join(complement(esk1_0),complement(esk2_0)))),complement(join(complement(converse(esk1_0)),complement(converse(esk2_0))))) != complement(join(complement(converse(esk1_0)),complement(converse(esk2_0))))
| join(complement(converse(join(complement(esk1_0),complement(esk2_0)))),complement(join(complement(converse(esk1_0)),complement(converse(esk2_0))))) != converse(complement(join(complement(esk1_0),complement(esk2_0)))) ),
inference(rw,[status(thm)],[78033,77793,theory(equality)]) ).
cnf(78035,negated_conjecture,
( join(complement(converse(join(complement(esk1_0),complement(esk2_0)))),complement(join(complement(converse(esk1_0)),complement(converse(esk2_0))))) != complement(join(complement(converse(esk1_0)),complement(converse(esk2_0))))
| join(complement(converse(join(complement(esk1_0),complement(esk2_0)))),complement(join(complement(converse(esk1_0)),complement(converse(esk2_0))))) != complement(converse(join(complement(esk1_0),complement(esk2_0)))) ),
inference(rw,[status(thm)],[78034,77793,theory(equality)]) ).
cnf(81317,plain,
join(complement(converse(X1)),complement(converse(X2))) = converse(join(complement(X1),complement(X2))),
inference(spm,[status(thm)],[77898,77793,theory(equality)]) ).
cnf(103766,negated_conjecture,
( complement(converse(join(complement(esk1_0),complement(esk2_0)))) != complement(join(complement(converse(esk1_0)),complement(converse(esk2_0))))
| join(complement(converse(join(complement(esk1_0),complement(esk2_0)))),complement(join(complement(converse(esk1_0)),complement(converse(esk2_0))))) != complement(converse(join(complement(esk1_0),complement(esk2_0)))) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[78035,81317,theory(equality)]),81317,theory(equality)]),54285,theory(equality)]),77793,theory(equality)]) ).
cnf(103767,negated_conjecture,
( $false
| join(complement(converse(join(complement(esk1_0),complement(esk2_0)))),complement(join(complement(converse(esk1_0)),complement(converse(esk2_0))))) != complement(converse(join(complement(esk1_0),complement(esk2_0)))) ),
inference(rw,[status(thm)],[103766,81317,theory(equality)]) ).
cnf(103768,negated_conjecture,
( $false
| $false ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[103767,81317,theory(equality)]),81317,theory(equality)]),54285,theory(equality)]),77793,theory(equality)]) ).
cnf(103769,negated_conjecture,
$false,
inference(cn,[status(thm)],[103768,theory(equality)]) ).
cnf(103770,negated_conjecture,
$false,
103769,
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% % SZS status Started for /home/graph/tptp/TPTP/Problems/REL/REL005+2.p
% --creating new selector for [REL001+0.ax]
% -running prover on /tmp/tmpGpyP7C/sel_REL005+2.p_1 with time limit 29
% -prover status Theorem
% Problem REL005+2.p solved in phase 0.
% % SZS status Theorem for /home/graph/tptp/TPTP/Problems/REL/REL005+2.p
% % SZS status Ended for /home/graph/tptp/TPTP/Problems/REL/REL005+2.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
%
%------------------------------------------------------------------------------