TSTP Solution File: REL028+1 by SInE---0.4
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SInE---0.4
% Problem : REL028+1 : TPTP v5.0.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : Source/sine.py -e eprover -t %d %s
% Computer : art03.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 01:19:50 EST 2010
% Result : Theorem 230.75s
% Output : CNFRefutation 230.75s
% Verified :
% SZS Type : Refutation
% Derivation depth : 91
% Number of leaves : 12
% Syntax : Number of formulae : 388 ( 383 unt; 0 def)
% Number of atoms : 398 ( 395 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 16 ( 6 ~; 0 |; 8 &)
% ( 0 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 1 avg)
% Maximal term depth : 8 ( 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 : 342 ( 18 sgn 50 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(1,axiom,
! [X1,X2] : converse(composition(X1,X2)) = composition(converse(X2),converse(X1)),
file('/tmp/tmpUe4yek/sel_REL028+1.p_4',converse_multiplicativity) ).
fof(2,axiom,
! [X1] : converse(converse(X1)) = X1,
file('/tmp/tmpUe4yek/sel_REL028+1.p_4',converse_idempotence) ).
fof(3,axiom,
! [X1,X2,X3] : composition(join(X1,X2),X3) = join(composition(X1,X3),composition(X2,X3)),
file('/tmp/tmpUe4yek/sel_REL028+1.p_4',composition_distributivity) ).
fof(4,axiom,
! [X1] : composition(X1,one) = X1,
file('/tmp/tmpUe4yek/sel_REL028+1.p_4',composition_identity) ).
fof(5,axiom,
! [X1,X2] : converse(join(X1,X2)) = join(converse(X1),converse(X2)),
file('/tmp/tmpUe4yek/sel_REL028+1.p_4',converse_additivity) ).
fof(6,axiom,
! [X1,X2] : join(X1,X2) = join(X2,X1),
file('/tmp/tmpUe4yek/sel_REL028+1.p_4',maddux1_join_commutativity) ).
fof(7,axiom,
! [X1,X2,X3] : composition(X1,composition(X2,X3)) = composition(composition(X1,X2),X3),
file('/tmp/tmpUe4yek/sel_REL028+1.p_4',composition_associativity) ).
fof(8,axiom,
! [X1,X2] : join(composition(converse(X1),complement(composition(X1,X2))),complement(X2)) = complement(X2),
file('/tmp/tmpUe4yek/sel_REL028+1.p_4',converse_cancellativity) ).
fof(9,axiom,
! [X1,X2] : meet(X1,X2) = complement(join(complement(X1),complement(X2))),
file('/tmp/tmpUe4yek/sel_REL028+1.p_4',maddux4_definiton_of_meet) ).
fof(10,axiom,
! [X1,X2,X3] : join(X1,join(X2,X3)) = join(join(X1,X2),X3),
file('/tmp/tmpUe4yek/sel_REL028+1.p_4',maddux2_join_associativity) ).
fof(11,axiom,
! [X1,X2] : X1 = join(complement(join(complement(X1),complement(X2))),complement(join(complement(X1),X2))),
file('/tmp/tmpUe4yek/sel_REL028+1.p_4',maddux3_a_kind_of_de_Morgan) ).
fof(12,conjecture,
! [X1,X2] :
( ( join(X1,one) = one
& join(X2,one) = one )
=> composition(X1,X2) = meet(X1,X2) ),
file('/tmp/tmpUe4yek/sel_REL028+1.p_4',goals) ).
fof(13,negated_conjecture,
~ ! [X1,X2] :
( ( join(X1,one) = one
& join(X2,one) = one )
=> composition(X1,X2) = meet(X1,X2) ),
inference(assume_negation,[status(cth)],[12]) ).
fof(14,plain,
! [X3,X4] : converse(composition(X3,X4)) = composition(converse(X4),converse(X3)),
inference(variable_rename,[status(thm)],[1]) ).
cnf(15,plain,
converse(composition(X1,X2)) = composition(converse(X2),converse(X1)),
inference(split_conjunct,[status(thm)],[14]) ).
fof(16,plain,
! [X2] : converse(converse(X2)) = X2,
inference(variable_rename,[status(thm)],[2]) ).
cnf(17,plain,
converse(converse(X1)) = X1,
inference(split_conjunct,[status(thm)],[16]) ).
fof(18,plain,
! [X4,X5,X6] : composition(join(X4,X5),X6) = join(composition(X4,X6),composition(X5,X6)),
inference(variable_rename,[status(thm)],[3]) ).
cnf(19,plain,
composition(join(X1,X2),X3) = join(composition(X1,X3),composition(X2,X3)),
inference(split_conjunct,[status(thm)],[18]) ).
fof(20,plain,
! [X2] : composition(X2,one) = X2,
inference(variable_rename,[status(thm)],[4]) ).
cnf(21,plain,
composition(X1,one) = X1,
inference(split_conjunct,[status(thm)],[20]) ).
fof(22,plain,
! [X3,X4] : converse(join(X3,X4)) = join(converse(X3),converse(X4)),
inference(variable_rename,[status(thm)],[5]) ).
cnf(23,plain,
converse(join(X1,X2)) = join(converse(X1),converse(X2)),
inference(split_conjunct,[status(thm)],[22]) ).
fof(24,plain,
! [X3,X4] : join(X3,X4) = join(X4,X3),
inference(variable_rename,[status(thm)],[6]) ).
cnf(25,plain,
join(X1,X2) = join(X2,X1),
inference(split_conjunct,[status(thm)],[24]) ).
fof(26,plain,
! [X4,X5,X6] : composition(X4,composition(X5,X6)) = composition(composition(X4,X5),X6),
inference(variable_rename,[status(thm)],[7]) ).
cnf(27,plain,
composition(X1,composition(X2,X3)) = composition(composition(X1,X2),X3),
inference(split_conjunct,[status(thm)],[26]) ).
fof(28,plain,
! [X3,X4] : join(composition(converse(X3),complement(composition(X3,X4))),complement(X4)) = complement(X4),
inference(variable_rename,[status(thm)],[8]) ).
cnf(29,plain,
join(composition(converse(X1),complement(composition(X1,X2))),complement(X2)) = complement(X2),
inference(split_conjunct,[status(thm)],[28]) ).
fof(30,plain,
! [X3,X4] : meet(X3,X4) = complement(join(complement(X3),complement(X4))),
inference(variable_rename,[status(thm)],[9]) ).
cnf(31,plain,
meet(X1,X2) = complement(join(complement(X1),complement(X2))),
inference(split_conjunct,[status(thm)],[30]) ).
fof(32,plain,
! [X4,X5,X6] : join(X4,join(X5,X6)) = join(join(X4,X5),X6),
inference(variable_rename,[status(thm)],[10]) ).
cnf(33,plain,
join(X1,join(X2,X3)) = join(join(X1,X2),X3),
inference(split_conjunct,[status(thm)],[32]) ).
fof(34,plain,
! [X3,X4] : X3 = join(complement(join(complement(X3),complement(X4))),complement(join(complement(X3),X4))),
inference(variable_rename,[status(thm)],[11]) ).
cnf(35,plain,
X1 = join(complement(join(complement(X1),complement(X2))),complement(join(complement(X1),X2))),
inference(split_conjunct,[status(thm)],[34]) ).
fof(36,negated_conjecture,
? [X1,X2] :
( join(X1,one) = one
& join(X2,one) = one
& composition(X1,X2) != meet(X1,X2) ),
inference(fof_nnf,[status(thm)],[13]) ).
fof(37,negated_conjecture,
? [X3,X4] :
( join(X3,one) = one
& join(X4,one) = one
& composition(X3,X4) != meet(X3,X4) ),
inference(variable_rename,[status(thm)],[36]) ).
fof(38,negated_conjecture,
( join(esk1_0,one) = one
& join(esk2_0,one) = one
& composition(esk1_0,esk2_0) != meet(esk1_0,esk2_0) ),
inference(skolemize,[status(esa)],[37]) ).
cnf(39,negated_conjecture,
composition(esk1_0,esk2_0) != meet(esk1_0,esk2_0),
inference(split_conjunct,[status(thm)],[38]) ).
cnf(40,negated_conjecture,
join(esk2_0,one) = one,
inference(split_conjunct,[status(thm)],[38]) ).
cnf(41,negated_conjecture,
join(esk1_0,one) = one,
inference(split_conjunct,[status(thm)],[38]) ).
cnf(42,negated_conjecture,
complement(join(complement(esk1_0),complement(esk2_0))) != composition(esk1_0,esk2_0),
inference(rw,[status(thm)],[39,31,theory(equality)]),
[unfolding] ).
cnf(43,negated_conjecture,
join(one,esk2_0) = one,
inference(rw,[status(thm)],[40,25,theory(equality)]) ).
cnf(44,negated_conjecture,
join(one,esk1_0) = one,
inference(rw,[status(thm)],[41,25,theory(equality)]) ).
cnf(46,plain,
composition(converse(X1),X2) = converse(composition(converse(X2),X1)),
inference(spm,[status(thm)],[15,17,theory(equality)]) ).
cnf(47,plain,
join(X1,converse(X2)) = converse(join(converse(X1),X2)),
inference(spm,[status(thm)],[23,17,theory(equality)]) ).
cnf(48,plain,
join(converse(X1),X2) = converse(join(X1,converse(X2))),
inference(spm,[status(thm)],[23,17,theory(equality)]) ).
cnf(62,plain,
join(X1,join(X2,X3)) = join(X3,join(X1,X2)),
inference(spm,[status(thm)],[25,33,theory(equality)]) ).
cnf(64,plain,
join(join(X2,X1),X3) = join(X1,join(X2,X3)),
inference(spm,[status(thm)],[33,25,theory(equality)]) ).
cnf(68,plain,
join(X2,join(X1,X3)) = join(X1,join(X2,X3)),
inference(rw,[status(thm)],[64,33,theory(equality)]) ).
cnf(73,plain,
join(composition(X1,converse(X2)),converse(composition(X2,X3))) = composition(join(X1,converse(X3)),converse(X2)),
inference(spm,[status(thm)],[19,15,theory(equality)]) ).
cnf(75,plain,
join(composition(X1,X2),composition(X3,composition(X4,X2))) = composition(join(X1,composition(X3,X4)),X2),
inference(spm,[status(thm)],[19,27,theory(equality)]) ).
cnf(85,plain,
join(complement(X2),composition(converse(X1),complement(composition(X1,X2)))) = complement(X2),
inference(rw,[status(thm)],[29,25,theory(equality)]) ).
cnf(87,plain,
join(complement(one),composition(converse(X1),complement(X1))) = complement(one),
inference(spm,[status(thm)],[85,21,theory(equality)]) ).
cnf(88,plain,
join(complement(converse(X1)),composition(converse(converse(X2)),complement(converse(composition(X1,X2))))) = complement(converse(X1)),
inference(spm,[status(thm)],[85,15,theory(equality)]) ).
cnf(91,plain,
join(complement(converse(X1)),composition(X2,complement(converse(composition(X1,X2))))) = complement(converse(X1)),
inference(rw,[status(thm)],[88,17,theory(equality)]) ).
cnf(92,plain,
join(complement(join(complement(X1),X2)),complement(join(complement(X1),complement(X2)))) = X1,
inference(rw,[status(thm)],[35,25,theory(equality)]) ).
cnf(93,plain,
join(X1,X3) = join(complement(join(complement(X1),X2)),join(complement(join(complement(X1),complement(X2))),X3)),
inference(spm,[status(thm)],[33,92,theory(equality)]) ).
cnf(95,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)],[92,92,theory(equality)]) ).
cnf(97,plain,
join(complement(join(X2,complement(X1))),complement(join(complement(X1),complement(X2)))) = X1,
inference(spm,[status(thm)],[92,25,theory(equality)]) ).
cnf(102,negated_conjecture,
join(one,X1) = join(one,join(esk2_0,X1)),
inference(spm,[status(thm)],[33,43,theory(equality)]) ).
cnf(103,negated_conjecture,
join(one,X1) = join(one,join(esk1_0,X1)),
inference(spm,[status(thm)],[33,44,theory(equality)]) ).
cnf(171,plain,
converse(converse(X1)) = composition(converse(one),X1),
inference(spm,[status(thm)],[46,21,theory(equality)]) ).
cnf(175,plain,
join(composition(converse(X2),X1),converse(X3)) = converse(join(composition(converse(X1),X2),X3)),
inference(spm,[status(thm)],[23,46,theory(equality)]) ).
cnf(176,plain,
join(converse(X1),composition(converse(X3),X2)) = converse(join(X1,composition(converse(X2),X3))),
inference(spm,[status(thm)],[23,46,theory(equality)]) ).
cnf(185,plain,
X1 = composition(converse(one),X1),
inference(rw,[status(thm)],[171,17,theory(equality)]) ).
cnf(197,plain,
one = converse(one),
inference(spm,[status(thm)],[21,185,theory(equality)]) ).
cnf(218,plain,
join(one,converse(X1)) = converse(join(one,X1)),
inference(spm,[status(thm)],[23,197,theory(equality)]) ).
cnf(223,plain,
composition(one,X1) = X1,
inference(rw,[status(thm)],[185,197,theory(equality)]) ).
cnf(231,plain,
join(X1,composition(X2,X1)) = composition(join(one,X2),X1),
inference(spm,[status(thm)],[19,223,theory(equality)]) ).
cnf(232,plain,
join(composition(X1,X2),X2) = composition(join(X1,one),X2),
inference(spm,[status(thm)],[19,223,theory(equality)]) ).
cnf(233,plain,
join(complement(X1),composition(converse(one),complement(X1))) = complement(X1),
inference(spm,[status(thm)],[85,223,theory(equality)]) ).
cnf(237,plain,
join(X2,composition(X1,X2)) = composition(join(X1,one),X2),
inference(rw,[status(thm)],[232,25,theory(equality)]) ).
cnf(238,plain,
join(complement(X1),complement(X1)) = complement(X1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[233,197,theory(equality)]),223,theory(equality)]) ).
cnf(245,plain,
join(complement(X1),X2) = join(complement(X1),join(complement(X1),X2)),
inference(spm,[status(thm)],[33,238,theory(equality)]) ).
cnf(259,negated_conjecture,
converse(one) = join(one,converse(esk2_0)),
inference(spm,[status(thm)],[218,43,theory(equality)]) ).
cnf(260,negated_conjecture,
converse(one) = join(one,converse(esk1_0)),
inference(spm,[status(thm)],[218,44,theory(equality)]) ).
cnf(263,negated_conjecture,
converse(join(one,X1)) = join(one,converse(join(esk1_0,X1))),
inference(spm,[status(thm)],[218,103,theory(equality)]) ).
cnf(272,negated_conjecture,
one = join(one,converse(esk2_0)),
inference(rw,[status(thm)],[259,197,theory(equality)]) ).
cnf(273,negated_conjecture,
one = join(one,converse(esk1_0)),
inference(rw,[status(thm)],[260,197,theory(equality)]) ).
cnf(275,negated_conjecture,
join(one,converse(X1)) = join(one,converse(join(esk1_0,X1))),
inference(rw,[status(thm)],[263,218,theory(equality)]) ).
cnf(278,negated_conjecture,
join(one,X1) = join(one,join(converse(esk2_0),X1)),
inference(spm,[status(thm)],[33,272,theory(equality)]) ).
cnf(309,negated_conjecture,
join(one,X1) = join(one,join(converse(esk1_0),X1)),
inference(spm,[status(thm)],[33,273,theory(equality)]) ).
cnf(958,plain,
join(complement(join(complement(X1),X2)),X1) = X1,
inference(spm,[status(thm)],[245,92,theory(equality)]) ).
cnf(978,plain,
join(X1,complement(join(complement(X1),X2))) = X1,
inference(rw,[status(thm)],[958,25,theory(equality)]) ).
cnf(988,plain,
join(X1,complement(complement(X1))) = X1,
inference(spm,[status(thm)],[978,85,theory(equality)]) ).
cnf(992,negated_conjecture,
join(one,esk2_0) = join(one,complement(join(complement(esk2_0),X1))),
inference(spm,[status(thm)],[102,978,theory(equality)]) ).
cnf(1005,plain,
join(X1,complement(join(X2,complement(X1)))) = X1,
inference(spm,[status(thm)],[978,25,theory(equality)]) ).
cnf(1017,negated_conjecture,
one = join(one,complement(join(complement(esk2_0),X1))),
inference(rw,[status(thm)],[992,43,theory(equality)]) ).
cnf(1029,plain,
join(X1,X2) = join(X1,join(complement(complement(X1)),X2)),
inference(spm,[status(thm)],[33,988,theory(equality)]) ).
cnf(1033,negated_conjecture,
join(one,esk2_0) = join(one,complement(complement(esk2_0))),
inference(spm,[status(thm)],[102,988,theory(equality)]) ).
cnf(1034,negated_conjecture,
join(one,esk1_0) = join(one,complement(complement(esk1_0))),
inference(spm,[status(thm)],[103,988,theory(equality)]) ).
cnf(1036,plain,
converse(converse(X1)) = join(X1,converse(complement(complement(converse(X1))))),
inference(spm,[status(thm)],[47,988,theory(equality)]) ).
cnf(1037,negated_conjecture,
join(one,converse(esk2_0)) = join(one,complement(complement(converse(esk2_0)))),
inference(spm,[status(thm)],[278,988,theory(equality)]) ).
cnf(1038,negated_conjecture,
join(one,converse(esk1_0)) = join(one,complement(complement(converse(esk1_0)))),
inference(spm,[status(thm)],[309,988,theory(equality)]) ).
cnf(1049,negated_conjecture,
one = join(one,complement(complement(esk2_0))),
inference(rw,[status(thm)],[1033,43,theory(equality)]) ).
cnf(1050,negated_conjecture,
one = join(one,complement(complement(esk1_0))),
inference(rw,[status(thm)],[1034,44,theory(equality)]) ).
cnf(1052,plain,
X1 = join(X1,converse(complement(complement(converse(X1))))),
inference(rw,[status(thm)],[1036,17,theory(equality)]) ).
cnf(1053,negated_conjecture,
one = join(one,complement(complement(converse(esk2_0)))),
inference(rw,[status(thm)],[1037,272,theory(equality)]) ).
cnf(1054,negated_conjecture,
one = join(one,complement(complement(converse(esk1_0)))),
inference(rw,[status(thm)],[1038,273,theory(equality)]) ).
cnf(1193,plain,
converse(converse(X1)) = join(X1,converse(complement(join(X2,complement(converse(X1)))))),
inference(spm,[status(thm)],[47,1005,theory(equality)]) ).
cnf(1203,negated_conjecture,
join(complement(esk2_0),complement(one)) = complement(esk2_0),
inference(spm,[status(thm)],[1005,1049,theory(equality)]) ).
cnf(1204,negated_conjecture,
join(complement(esk1_0),complement(one)) = complement(esk1_0),
inference(spm,[status(thm)],[1005,1050,theory(equality)]) ).
cnf(1205,negated_conjecture,
join(complement(converse(esk2_0)),complement(one)) = complement(converse(esk2_0)),
inference(spm,[status(thm)],[1005,1053,theory(equality)]) ).
cnf(1206,negated_conjecture,
join(complement(converse(esk1_0)),complement(one)) = complement(converse(esk1_0)),
inference(spm,[status(thm)],[1005,1054,theory(equality)]) ).
cnf(1220,plain,
X1 = join(X1,converse(complement(join(X2,complement(converse(X1)))))),
inference(rw,[status(thm)],[1193,17,theory(equality)]) ).
cnf(1230,negated_conjecture,
join(complement(one),complement(esk2_0)) = complement(esk2_0),
inference(rw,[status(thm)],[1203,25,theory(equality)]) ).
cnf(1231,negated_conjecture,
join(complement(one),complement(esk1_0)) = complement(esk1_0),
inference(rw,[status(thm)],[1204,25,theory(equality)]) ).
cnf(1232,negated_conjecture,
join(complement(one),complement(converse(esk2_0))) = complement(converse(esk2_0)),
inference(rw,[status(thm)],[1205,25,theory(equality)]) ).
cnf(1233,negated_conjecture,
join(complement(one),complement(converse(esk1_0))) = complement(converse(esk1_0)),
inference(rw,[status(thm)],[1206,25,theory(equality)]) ).
cnf(1247,negated_conjecture,
join(X1,complement(esk2_0)) = join(complement(one),join(X1,complement(esk2_0))),
inference(spm,[status(thm)],[68,1230,theory(equality)]) ).
cnf(1262,negated_conjecture,
join(X1,complement(esk1_0)) = join(complement(one),join(X1,complement(esk1_0))),
inference(spm,[status(thm)],[68,1231,theory(equality)]) ).
cnf(1344,plain,
join(X1,complement(complement(X1))) = join(X1,complement(complement(complement(complement(X1))))),
inference(spm,[status(thm)],[1029,988,theory(equality)]) ).
cnf(1383,plain,
X1 = join(X1,complement(complement(complement(complement(X1))))),
inference(rw,[status(thm)],[1344,988,theory(equality)]) ).
cnf(1578,plain,
join(complement(complement(complement(X1))),complement(X1)) = complement(complement(complement(X1))),
inference(spm,[status(thm)],[1005,1383,theory(equality)]) ).
cnf(1598,plain,
complement(X1) = complement(complement(complement(X1))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[1578,25,theory(equality)]),988,theory(equality)]) ).
cnf(1604,plain,
join(complement(join(complement(X1),X2)),complement(join(complement(X1),complement(X2)))) = complement(complement(X1)),
inference(spm,[status(thm)],[92,1598,theory(equality)]) ).
cnf(1617,plain,
X1 = complement(complement(X1)),
inference(rw,[status(thm)],[1604,92,theory(equality)]) ).
cnf(1626,plain,
join(X1,composition(converse(X2),complement(composition(X2,complement(X1))))) = X1,
inference(spm,[status(thm)],[85,1617,theory(equality)]) ).
cnf(1632,plain,
join(complement(X1),complement(join(X2,X1))) = complement(X1),
inference(spm,[status(thm)],[1005,1617,theory(equality)]) ).
cnf(1638,plain,
join(X1,join(X1,X2)) = join(X1,X2),
inference(rw,[status(thm)],[1029,1617,theory(equality)]) ).
cnf(1639,plain,
join(X1,X1) = X1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[1052,1617,theory(equality)]),17,theory(equality)]) ).
cnf(1673,plain,
join(X1,X2) = join(X2,join(X1,X2)),
inference(spm,[status(thm)],[62,1639,theory(equality)]) ).
cnf(1758,plain,
join(X1,join(X2,X3)) = join(join(X2,X3),join(X1,X2)),
inference(spm,[status(thm)],[62,1638,theory(equality)]) ).
cnf(1827,plain,
join(X1,join(X2,X3)) = join(X2,join(X3,join(X1,X2))),
inference(rw,[status(thm)],[1758,33,theory(equality)]) ).
cnf(3440,plain,
join(complement(one),composition(X1,complement(converse(X1)))) = complement(one),
inference(spm,[status(thm)],[87,17,theory(equality)]) ).
cnf(3451,plain,
join(complement(one),composition(converse(complement(X1)),X1)) = complement(one),
inference(spm,[status(thm)],[87,1617,theory(equality)]) ).
cnf(3658,plain,
join(complement(composition(X1,complement(converse(composition(X2,X1))))),complement(complement(converse(X2)))) = complement(composition(X1,complement(converse(composition(X2,X1))))),
inference(spm,[status(thm)],[1632,91,theory(equality)]) ).
cnf(3699,plain,
join(converse(X2),complement(composition(X1,complement(converse(composition(X2,X1)))))) = complement(composition(X1,complement(converse(composition(X2,X1))))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[3658,1617,theory(equality)]),25,theory(equality)]) ).
cnf(4842,negated_conjecture,
join(X1,composition(esk2_0,X1)) = composition(one,X1),
inference(spm,[status(thm)],[231,43,theory(equality)]) ).
cnf(4843,negated_conjecture,
join(X1,composition(esk1_0,X1)) = composition(one,X1),
inference(spm,[status(thm)],[231,44,theory(equality)]) ).
cnf(4849,negated_conjecture,
join(X1,composition(converse(esk2_0),X1)) = composition(one,X1),
inference(spm,[status(thm)],[231,272,theory(equality)]) ).
cnf(4851,negated_conjecture,
join(X1,composition(converse(esk1_0),X1)) = composition(one,X1),
inference(spm,[status(thm)],[231,273,theory(equality)]) ).
cnf(4946,negated_conjecture,
join(X1,composition(esk2_0,X1)) = X1,
inference(rw,[status(thm)],[4842,223,theory(equality)]) ).
cnf(4947,negated_conjecture,
join(X1,composition(esk1_0,X1)) = X1,
inference(rw,[status(thm)],[4843,223,theory(equality)]) ).
cnf(4950,negated_conjecture,
join(X1,composition(converse(esk2_0),X1)) = X1,
inference(rw,[status(thm)],[4849,223,theory(equality)]) ).
cnf(4953,negated_conjecture,
join(X1,composition(converse(esk1_0),X1)) = X1,
inference(rw,[status(thm)],[4851,223,theory(equality)]) ).
cnf(5162,negated_conjecture,
join(X1,X2) = join(X1,join(composition(esk2_0,X1),X2)),
inference(spm,[status(thm)],[33,4946,theory(equality)]) ).
cnf(5165,negated_conjecture,
join(one,esk2_0) = join(one,composition(esk2_0,esk2_0)),
inference(spm,[status(thm)],[102,4946,theory(equality)]) ).
cnf(5208,negated_conjecture,
one = join(one,composition(esk2_0,esk2_0)),
inference(rw,[status(thm)],[5165,43,theory(equality)]) ).
cnf(5254,negated_conjecture,
join(complement(composition(esk2_0,esk2_0)),complement(one)) = complement(composition(esk2_0,esk2_0)),
inference(spm,[status(thm)],[1632,5208,theory(equality)]) ).
cnf(5267,negated_conjecture,
join(complement(one),complement(composition(esk2_0,esk2_0))) = complement(composition(esk2_0,esk2_0)),
inference(rw,[status(thm)],[5254,25,theory(equality)]) ).
cnf(5451,negated_conjecture,
join(X1,X2) = join(X1,join(composition(esk1_0,X1),X2)),
inference(spm,[status(thm)],[33,4947,theory(equality)]) ).
cnf(5455,negated_conjecture,
join(one,esk1_0) = join(one,composition(esk1_0,esk1_0)),
inference(spm,[status(thm)],[103,4947,theory(equality)]) ).
cnf(5498,negated_conjecture,
one = join(one,composition(esk1_0,esk1_0)),
inference(rw,[status(thm)],[5455,44,theory(equality)]) ).
cnf(5757,negated_conjecture,
join(X1,X2) = join(X1,join(composition(converse(esk2_0),X1),X2)),
inference(spm,[status(thm)],[33,4950,theory(equality)]) ).
cnf(5763,negated_conjecture,
converse(converse(X1)) = join(X1,converse(composition(converse(esk2_0),converse(X1)))),
inference(spm,[status(thm)],[47,4950,theory(equality)]) ).
cnf(5808,negated_conjecture,
X1 = join(X1,converse(composition(converse(esk2_0),converse(X1)))),
inference(rw,[status(thm)],[5763,17,theory(equality)]) ).
cnf(5809,negated_conjecture,
X1 = join(X1,composition(X1,esk2_0)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[5808,15,theory(equality)]),17,theory(equality)]) ).
cnf(5853,negated_conjecture,
join(X1,X2) = join(X1,join(composition(X1,esk2_0),X2)),
inference(spm,[status(thm)],[33,5809,theory(equality)]) ).
cnf(5880,negated_conjecture,
join(complement(composition(X1,esk2_0)),complement(X1)) = complement(composition(X1,esk2_0)),
inference(spm,[status(thm)],[1632,5809,theory(equality)]) ).
cnf(5894,negated_conjecture,
join(X1,X2) = join(X2,join(X1,composition(X2,esk2_0))),
inference(spm,[status(thm)],[68,5809,theory(equality)]) ).
cnf(5926,negated_conjecture,
join(complement(X1),complement(composition(X1,esk2_0))) = complement(composition(X1,esk2_0)),
inference(rw,[status(thm)],[5880,25,theory(equality)]) ).
cnf(5951,negated_conjecture,
converse(converse(X1)) = join(X1,converse(composition(converse(esk1_0),converse(X1)))),
inference(spm,[status(thm)],[47,4953,theory(equality)]) ).
cnf(5996,negated_conjecture,
X1 = join(X1,converse(composition(converse(esk1_0),converse(X1)))),
inference(rw,[status(thm)],[5951,17,theory(equality)]) ).
cnf(5997,negated_conjecture,
X1 = join(X1,composition(X1,esk1_0)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[5996,15,theory(equality)]),17,theory(equality)]) ).
cnf(6041,negated_conjecture,
join(X1,X2) = join(X1,join(composition(X1,esk1_0),X2)),
inference(spm,[status(thm)],[33,5997,theory(equality)]) ).
cnf(6082,negated_conjecture,
join(X1,X2) = join(X2,join(X1,composition(X2,esk1_0))),
inference(spm,[status(thm)],[68,5997,theory(equality)]) ).
cnf(6265,negated_conjecture,
join(complement(composition(esk1_0,esk1_0)),complement(one)) = complement(composition(esk1_0,esk1_0)),
inference(spm,[status(thm)],[1632,5498,theory(equality)]) ).
cnf(6279,negated_conjecture,
join(complement(one),complement(composition(esk1_0,esk1_0))) = complement(composition(esk1_0,esk1_0)),
inference(rw,[status(thm)],[6265,25,theory(equality)]) ).
cnf(6748,negated_conjecture,
join(X1,composition(join(esk2_0,X2),X1)) = join(X1,composition(X2,X1)),
inference(spm,[status(thm)],[5162,19,theory(equality)]) ).
cnf(6913,plain,
join(complement(X1),complement(join(complement(X1),complement(X2)))) = join(complement(X1),X2),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[95,1617,theory(equality)]),25,theory(equality)]),33,theory(equality)]),1632,theory(equality)]) ).
cnf(6919,plain,
join(complement(X1),complement(complement(X1))) = join(complement(X1),join(complement(complement(X1)),X2)),
inference(spm,[status(thm)],[6913,978,theory(equality)]) ).
cnf(6929,plain,
join(X1,complement(join(X1,complement(X2)))) = join(X1,X2),
inference(spm,[status(thm)],[6913,1617,theory(equality)]) ).
cnf(6968,plain,
join(X1,complement(X1)) = join(complement(X1),join(complement(complement(X1)),X2)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[6919,1617,theory(equality)]),25,theory(equality)]) ).
cnf(6969,plain,
join(X1,complement(X1)) = join(X1,join(complement(X1),X2)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[6968,1617,theory(equality)]),68,theory(equality)]) ).
cnf(7212,negated_conjecture,
join(one,complement(esk2_0)) = join(one,complement(one)),
inference(spm,[status(thm)],[6969,1230,theory(equality)]) ).
cnf(7213,negated_conjecture,
join(one,complement(esk1_0)) = join(one,complement(one)),
inference(spm,[status(thm)],[6969,1231,theory(equality)]) ).
cnf(7223,plain,
join(X1,join(X2,complement(X1))) = join(X1,complement(X1)),
inference(spm,[status(thm)],[6969,1673,theory(equality)]) ).
cnf(7236,plain,
join(X1,join(X2,complement(X2))) = join(complement(X2),join(X1,X2)),
inference(spm,[status(thm)],[1827,6969,theory(equality)]) ).
cnf(7254,plain,
join(complement(join(complement(X1),X2)),join(complement(join(complement(X1),complement(X2))),complement(complement(join(complement(X1),complement(X2)))))) = join(X1,join(complement(complement(join(complement(X1),complement(X2)))),X3)),
inference(spm,[status(thm)],[93,6969,theory(equality)]) ).
cnf(7310,plain,
join(X1,join(X2,complement(X2))) = join(X2,complement(X2)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[7236,62,theory(equality)]),6969,theory(equality)]) ).
cnf(7325,plain,
join(X2,complement(X2)) = join(X1,join(complement(complement(join(complement(X1),complement(X2)))),X3)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[7254,1617,theory(equality)]),62,theory(equality)]),25,theory(equality)]),6913,theory(equality)]),62,theory(equality)]),6969,theory(equality)]),62,theory(equality)]),25,theory(equality)]),68,theory(equality)]),1632,theory(equality)]) ).
cnf(7326,plain,
join(X2,complement(X2)) = join(X1,complement(X1)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[7325,1617,theory(equality)]),33,theory(equality)]),6969,theory(equality)]) ).
cnf(7470,negated_conjecture,
join(esk2_0,join(one,complement(one))) = join(esk2_0,complement(esk2_0)),
inference(spm,[status(thm)],[7223,7212,theory(equality)]) ).
cnf(7471,negated_conjecture,
join(esk1_0,join(one,complement(one))) = join(esk1_0,complement(esk1_0)),
inference(spm,[status(thm)],[7223,7213,theory(equality)]) ).
cnf(7566,negated_conjecture,
join(one,complement(one)) = join(esk2_0,complement(esk2_0)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[7470,68,theory(equality)]),102,theory(equality)]) ).
cnf(7567,negated_conjecture,
join(one,complement(one)) = join(esk1_0,complement(esk1_0)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[7471,68,theory(equality)]),103,theory(equality)]) ).
cnf(7580,plain,
converse(join(X2,complement(X2))) = join(X1,converse(join(X2,complement(X2)))),
inference(spm,[status(thm)],[47,7310,theory(equality)]) ).
cnf(7585,plain,
join(X1,complement(join(X2,complement(X2)))) = X1,
inference(spm,[status(thm)],[978,7310,theory(equality)]) ).
cnf(7627,plain,
join(X1,composition(join(X2,complement(X2)),X1)) = composition(join(X2,complement(X2)),X1),
inference(spm,[status(thm)],[231,7310,theory(equality)]) ).
cnf(7852,plain,
converse(converse(X1)) = join(X1,converse(complement(join(X2,complement(X2))))),
inference(spm,[status(thm)],[47,7585,theory(equality)]) ).
cnf(7909,plain,
X1 = join(X1,converse(complement(join(X2,complement(X2))))),
inference(rw,[status(thm)],[7852,17,theory(equality)]) ).
cnf(8392,plain,
converse(join(X1,complement(X1))) = join(one,converse(complement(one))),
inference(spm,[status(thm)],[218,7326,theory(equality)]) ).
cnf(10866,negated_conjecture,
join(X1,composition(join(esk1_0,X2),X1)) = join(X1,composition(X2,X1)),
inference(spm,[status(thm)],[5451,19,theory(equality)]) ).
cnf(10912,negated_conjecture,
join(complement(one),complement(esk1_0)) = join(composition(esk1_0,complement(one)),complement(esk1_0)),
inference(spm,[status(thm)],[1262,5451,theory(equality)]) ).
cnf(11018,negated_conjecture,
complement(esk1_0) = join(composition(esk1_0,complement(one)),complement(esk1_0)),
inference(rw,[status(thm)],[10912,1231,theory(equality)]) ).
cnf(11019,negated_conjecture,
complement(esk1_0) = join(complement(esk1_0),composition(esk1_0,complement(one))),
inference(rw,[status(thm)],[11018,25,theory(equality)]) ).
cnf(11420,negated_conjecture,
join(complement(composition(esk1_0,complement(one))),complement(complement(esk1_0))) = complement(composition(esk1_0,complement(one))),
inference(spm,[status(thm)],[1632,11019,theory(equality)]) ).
cnf(11439,negated_conjecture,
join(esk1_0,complement(composition(esk1_0,complement(one)))) = complement(composition(esk1_0,complement(one))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[11420,1617,theory(equality)]),25,theory(equality)]) ).
cnf(11997,negated_conjecture,
join(X1,composition(join(X1,X2),esk2_0)) = join(X1,composition(X2,esk2_0)),
inference(spm,[status(thm)],[5853,19,theory(equality)]) ).
cnf(12037,negated_conjecture,
join(complement(one),complement(esk2_0)) = join(composition(complement(one),esk2_0),complement(esk2_0)),
inference(spm,[status(thm)],[1247,5853,theory(equality)]) ).
cnf(12043,negated_conjecture,
join(complement(one),complement(esk1_0)) = join(composition(complement(one),esk2_0),complement(esk1_0)),
inference(spm,[status(thm)],[1262,5853,theory(equality)]) ).
cnf(12145,negated_conjecture,
complement(esk2_0) = join(composition(complement(one),esk2_0),complement(esk2_0)),
inference(rw,[status(thm)],[12037,1230,theory(equality)]) ).
cnf(12146,negated_conjecture,
complement(esk2_0) = join(complement(esk2_0),composition(complement(one),esk2_0)),
inference(rw,[status(thm)],[12145,25,theory(equality)]) ).
cnf(12154,negated_conjecture,
complement(esk1_0) = join(composition(complement(one),esk2_0),complement(esk1_0)),
inference(rw,[status(thm)],[12043,1231,theory(equality)]) ).
cnf(12155,negated_conjecture,
complement(esk1_0) = join(complement(esk1_0),composition(complement(one),esk2_0)),
inference(rw,[status(thm)],[12154,25,theory(equality)]) ).
cnf(12449,negated_conjecture,
join(X1,composition(join(X2,X1),esk2_0)) = join(composition(X2,esk2_0),X1),
inference(spm,[status(thm)],[5894,19,theory(equality)]) ).
cnf(12816,negated_conjecture,
join(complement(composition(complement(one),esk2_0)),complement(complement(esk2_0))) = complement(composition(complement(one),esk2_0)),
inference(spm,[status(thm)],[1632,12146,theory(equality)]) ).
cnf(12836,negated_conjecture,
join(esk2_0,complement(composition(complement(one),esk2_0))) = complement(composition(complement(one),esk2_0)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[12816,1617,theory(equality)]),25,theory(equality)]) ).
cnf(12981,negated_conjecture,
join(X1,composition(join(X1,X2),esk1_0)) = join(X1,composition(X2,esk1_0)),
inference(spm,[status(thm)],[6041,19,theory(equality)]) ).
cnf(13027,negated_conjecture,
join(complement(one),complement(esk1_0)) = join(composition(complement(one),esk1_0),complement(esk1_0)),
inference(spm,[status(thm)],[1262,6041,theory(equality)]) ).
cnf(13146,negated_conjecture,
complement(esk1_0) = join(composition(complement(one),esk1_0),complement(esk1_0)),
inference(rw,[status(thm)],[13027,1231,theory(equality)]) ).
cnf(13147,negated_conjecture,
complement(esk1_0) = join(complement(esk1_0),composition(complement(one),esk1_0)),
inference(rw,[status(thm)],[13146,25,theory(equality)]) ).
cnf(13647,negated_conjecture,
join(complement(composition(complement(one),esk1_0)),complement(complement(esk1_0))) = complement(composition(complement(one),esk1_0)),
inference(spm,[status(thm)],[1632,13147,theory(equality)]) ).
cnf(13666,negated_conjecture,
join(esk1_0,complement(composition(complement(one),esk1_0))) = complement(composition(complement(one),esk1_0)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[13647,1617,theory(equality)]),25,theory(equality)]) ).
cnf(13849,negated_conjecture,
join(X1,composition(join(X2,X1),esk1_0)) = join(composition(X2,esk1_0),X1),
inference(spm,[status(thm)],[6082,19,theory(equality)]) ).
cnf(14468,plain,
join(X1,complement(join(X1,X2))) = join(X1,complement(X2)),
inference(spm,[status(thm)],[6929,1617,theory(equality)]) ).
cnf(14664,plain,
converse(join(converse(X1),complement(X2))) = join(X1,converse(complement(join(converse(X1),X2)))),
inference(spm,[status(thm)],[47,14468,theory(equality)]) ).
cnf(14750,negated_conjecture,
join(X1,complement(X1)) = join(X1,complement(composition(esk1_0,X1))),
inference(spm,[status(thm)],[14468,4947,theory(equality)]) ).
cnf(14753,negated_conjecture,
join(X1,complement(X1)) = join(X1,complement(composition(X1,esk2_0))),
inference(spm,[status(thm)],[14468,5809,theory(equality)]) ).
cnf(14755,negated_conjecture,
join(X1,complement(X1)) = join(X1,complement(composition(X1,esk1_0))),
inference(spm,[status(thm)],[14468,5997,theory(equality)]) ).
cnf(14861,negated_conjecture,
join(complement(esk1_0),complement(complement(esk1_0))) = join(complement(esk1_0),complement(composition(complement(one),esk2_0))),
inference(spm,[status(thm)],[14468,12155,theory(equality)]) ).
cnf(14889,plain,
join(X1,complement(join(X2,X1))) = join(X1,complement(X2)),
inference(spm,[status(thm)],[14468,25,theory(equality)]) ).
cnf(14924,plain,
join(X1,converse(complement(X2))) = join(X1,converse(complement(join(converse(X1),X2)))),
inference(rw,[status(thm)],[14664,47,theory(equality)]) ).
cnf(15036,negated_conjecture,
join(one,complement(one)) = join(complement(esk1_0),complement(composition(complement(one),esk2_0))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[14861,1617,theory(equality)]),25,theory(equality)]),7567,theory(equality)]) ).
cnf(18552,plain,
converse(composition(join(converse(X1),converse(X3)),converse(X2))) = join(composition(converse(converse(X2)),X1),converse(converse(composition(X2,X3)))),
inference(spm,[status(thm)],[175,73,theory(equality)]) ).
cnf(18661,plain,
composition(X2,join(X1,X3)) = join(composition(converse(converse(X2)),X1),converse(converse(composition(X2,X3)))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[18552,23,theory(equality)]),15,theory(equality)]),17,theory(equality)]) ).
cnf(18662,plain,
composition(X2,join(X1,X3)) = join(composition(X2,X1),composition(X2,X3)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[18661,17,theory(equality)]),17,theory(equality)]) ).
cnf(20330,plain,
join(X1,composition(X1,X2)) = composition(X1,join(one,X2)),
inference(spm,[status(thm)],[18662,21,theory(equality)]) ).
cnf(20331,plain,
join(composition(X1,X2),X1) = composition(X1,join(X2,one)),
inference(spm,[status(thm)],[18662,21,theory(equality)]) ).
cnf(20397,plain,
join(X1,composition(X1,X2)) = composition(X1,join(X2,one)),
inference(rw,[status(thm)],[20331,25,theory(equality)]) ).
cnf(48008,negated_conjecture,
join(complement(one),complement(esk2_0)) = join(composition(converse(esk2_0),complement(one)),complement(esk2_0)),
inference(spm,[status(thm)],[1247,5757,theory(equality)]) ).
cnf(48250,negated_conjecture,
complement(esk2_0) = join(composition(converse(esk2_0),complement(one)),complement(esk2_0)),
inference(rw,[status(thm)],[48008,1230,theory(equality)]) ).
cnf(48251,negated_conjecture,
complement(esk2_0) = join(complement(esk2_0),composition(converse(esk2_0),complement(one))),
inference(rw,[status(thm)],[48250,25,theory(equality)]) ).
cnf(48518,negated_conjecture,
join(complement(composition(converse(esk2_0),complement(one))),complement(complement(esk2_0))) = complement(composition(converse(esk2_0),complement(one))),
inference(spm,[status(thm)],[1632,48251,theory(equality)]) ).
cnf(48543,negated_conjecture,
join(esk2_0,complement(composition(converse(esk2_0),complement(one)))) = complement(composition(converse(esk2_0),complement(one))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[48518,1617,theory(equality)]),25,theory(equality)]) ).
cnf(56475,plain,
join(X1,join(one,converse(complement(one)))) = converse(join(X2,complement(X2))),
inference(rw,[status(thm)],[7580,8392,theory(equality)]) ).
cnf(56476,plain,
join(X1,join(one,converse(complement(one)))) = join(one,converse(complement(one))),
inference(rw,[status(thm)],[56475,8392,theory(equality)]) ).
cnf(56484,negated_conjecture,
join(one,complement(join(one,converse(complement(one))))) = one,
inference(spm,[status(thm)],[1017,56476,theory(equality)]) ).
cnf(56553,negated_conjecture,
join(one,complement(converse(complement(one)))) = one,
inference(rw,[status(thm)],[56484,14468,theory(equality)]) ).
cnf(56623,negated_conjecture,
join(converse(complement(one)),complement(one)) = converse(complement(one)),
inference(spm,[status(thm)],[1005,56553,theory(equality)]) ).
cnf(56655,negated_conjecture,
join(complement(one),converse(complement(one))) = converse(complement(one)),
inference(rw,[status(thm)],[56623,25,theory(equality)]) ).
cnf(56852,negated_conjecture,
converse(converse(complement(one))) = join(converse(complement(one)),complement(one)),
inference(spm,[status(thm)],[48,56655,theory(equality)]) ).
cnf(56880,negated_conjecture,
complement(one) = join(converse(complement(one)),complement(one)),
inference(rw,[status(thm)],[56852,17,theory(equality)]) ).
cnf(56881,negated_conjecture,
complement(one) = converse(complement(one)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[56880,25,theory(equality)]),56655,theory(equality)]) ).
cnf(56906,negated_conjecture,
composition(complement(one),converse(X1)) = converse(composition(X1,complement(one))),
inference(spm,[status(thm)],[15,56881,theory(equality)]) ).
cnf(56907,negated_conjecture,
composition(converse(X1),complement(one)) = converse(composition(complement(one),X1)),
inference(spm,[status(thm)],[15,56881,theory(equality)]) ).
cnf(56908,negated_conjecture,
join(complement(one),converse(X1)) = converse(join(complement(one),X1)),
inference(spm,[status(thm)],[23,56881,theory(equality)]) ).
cnf(57249,negated_conjecture,
converse(complement(esk2_0)) = join(complement(one),converse(complement(esk2_0))),
inference(spm,[status(thm)],[56908,1230,theory(equality)]) ).
cnf(57252,negated_conjecture,
converse(complement(converse(esk2_0))) = join(complement(one),converse(complement(converse(esk2_0)))),
inference(spm,[status(thm)],[56908,1232,theory(equality)]) ).
cnf(61158,negated_conjecture,
join(one,composition(join(one,complement(one)),esk2_0)) = join(one,composition(complement(esk1_0),esk2_0)),
inference(spm,[status(thm)],[11997,7213,theory(equality)]) ).
cnf(61699,negated_conjecture,
join(one,composition(complement(one),esk2_0)) = join(one,composition(complement(esk1_0),esk2_0)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[61158,231,theory(equality)]),102,theory(equality)]) ).
cnf(63946,negated_conjecture,
join(one,complement(join(one,composition(complement(one),esk2_0)))) = join(one,complement(composition(complement(esk1_0),esk2_0))),
inference(spm,[status(thm)],[14468,61699,theory(equality)]) ).
cnf(63970,negated_conjecture,
join(one,complement(composition(complement(one),esk2_0))) = join(one,complement(composition(complement(esk1_0),esk2_0))),
inference(rw,[status(thm)],[63946,14468,theory(equality)]) ).
cnf(64539,negated_conjecture,
join(complement(esk1_0),composition(join(one,complement(one)),esk1_0)) = join(complement(esk1_0),composition(complement(composition(complement(one),esk2_0)),esk1_0)),
inference(spm,[status(thm)],[12981,15036,theory(equality)]) ).
cnf(64636,negated_conjecture,
join(X1,join(esk1_0,composition(X1,esk1_0))) = join(X1,composition(one,esk1_0)),
inference(spm,[status(thm)],[12981,237,theory(equality)]) ).
cnf(65231,negated_conjecture,
join(one,complement(one)) = join(complement(esk1_0),composition(complement(composition(complement(one),esk2_0)),esk1_0)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[64539,231,theory(equality)]),68,theory(equality)]),13147,theory(equality)]),7567,theory(equality)]) ).
cnf(65339,negated_conjecture,
join(esk1_0,X1) = join(X1,composition(one,esk1_0)),
inference(rw,[status(thm)],[64636,6082,theory(equality)]) ).
cnf(65357,negated_conjecture,
join(esk1_0,composition(one,esk1_0)) = composition(one,esk1_0),
inference(spm,[status(thm)],[1639,65339,theory(equality)]) ).
cnf(65466,negated_conjecture,
esk1_0 = composition(one,esk1_0),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[65357,65339,theory(equality)]),1639,theory(equality)]) ).
cnf(74068,plain,
composition(X1,join(one,X1)) = composition(join(one,X1),X1),
inference(spm,[status(thm)],[231,20330,theory(equality)]) ).
cnf(74618,plain,
composition(composition(X1,join(one,X1)),X2) = composition(join(one,X1),composition(X1,X2)),
inference(spm,[status(thm)],[27,74068,theory(equality)]) ).
cnf(75069,plain,
composition(X1,composition(join(one,X1),X2)) = composition(join(one,X1),composition(X1,X2)),
inference(rw,[status(thm)],[74618,27,theory(equality)]) ).
cnf(122437,negated_conjecture,
join(X1,complement(composition(complement(X1),esk2_0))) = complement(composition(complement(X1),esk2_0)),
inference(spm,[status(thm)],[5926,1617,theory(equality)]) ).
cnf(392601,negated_conjecture,
composition(join(esk2_0,complement(esk2_0)),esk2_0) = join(esk2_0,composition(complement(esk2_0),esk2_0)),
inference(spm,[status(thm)],[11997,7627,theory(equality)]) ).
cnf(392603,negated_conjecture,
composition(join(esk1_0,complement(esk1_0)),esk1_0) = join(esk1_0,composition(complement(esk1_0),esk1_0)),
inference(spm,[status(thm)],[12981,7627,theory(equality)]) ).
cnf(392849,negated_conjecture,
join(esk2_0,composition(complement(one),esk2_0)) = join(esk2_0,composition(complement(esk2_0),esk2_0)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[392601,7566,theory(equality)]),231,theory(equality)]) ).
cnf(392851,negated_conjecture,
join(esk1_0,composition(complement(one),esk1_0)) = join(esk1_0,composition(complement(esk1_0),esk1_0)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[392603,7567,theory(equality)]),231,theory(equality)]) ).
cnf(394555,negated_conjecture,
join(esk2_0,complement(join(esk2_0,composition(complement(one),esk2_0)))) = join(esk2_0,complement(composition(complement(esk2_0),esk2_0))),
inference(spm,[status(thm)],[14468,392849,theory(equality)]) ).
cnf(394618,negated_conjecture,
complement(composition(complement(one),esk2_0)) = join(esk2_0,complement(composition(complement(esk2_0),esk2_0))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[394555,14468,theory(equality)]),12836,theory(equality)]) ).
cnf(394677,negated_conjecture,
join(esk1_0,complement(join(esk1_0,composition(complement(one),esk1_0)))) = join(esk1_0,complement(composition(complement(esk1_0),esk1_0))),
inference(spm,[status(thm)],[14468,392851,theory(equality)]) ).
cnf(394740,negated_conjecture,
complement(composition(complement(one),esk1_0)) = join(esk1_0,complement(composition(complement(esk1_0),esk1_0))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[394677,14468,theory(equality)]),13666,theory(equality)]) ).
cnf(394799,negated_conjecture,
join(complement(complement(composition(complement(one),esk2_0))),complement(join(complement(composition(complement(esk2_0),esk2_0)),complement(esk2_0)))) = composition(complement(esk2_0),esk2_0),
inference(spm,[status(thm)],[97,394618,theory(equality)]) ).
cnf(394866,negated_conjecture,
composition(complement(one),esk2_0) = composition(complement(esk2_0),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)],[inference(rw,[status(thm)],[394799,1617,theory(equality)]),25,theory(equality)]),14753,theory(equality)]),1617,theory(equality)]),25,theory(equality)]),7566,theory(equality)]),7585,theory(equality)]) ).
cnf(394903,negated_conjecture,
join(composition(complement(one),esk2_0),composition(X1,esk2_0)) = composition(join(complement(esk2_0),X1),esk2_0),
inference(spm,[status(thm)],[19,394866,theory(equality)]) ).
cnf(394996,negated_conjecture,
composition(join(complement(one),X1),esk2_0) = composition(join(complement(esk2_0),X1),esk2_0),
inference(rw,[status(thm)],[394903,19,theory(equality)]) ).
cnf(395077,negated_conjecture,
join(complement(complement(composition(complement(one),esk1_0))),complement(join(complement(composition(complement(esk1_0),esk1_0)),complement(esk1_0)))) = composition(complement(esk1_0),esk1_0),
inference(spm,[status(thm)],[97,394740,theory(equality)]) ).
cnf(395144,negated_conjecture,
composition(complement(one),esk1_0) = composition(complement(esk1_0),esk1_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)],[inference(rw,[status(thm)],[395077,1617,theory(equality)]),25,theory(equality)]),14755,theory(equality)]),1617,theory(equality)]),25,theory(equality)]),7567,theory(equality)]),7585,theory(equality)]) ).
cnf(395181,negated_conjecture,
join(composition(complement(one),esk1_0),composition(X1,esk1_0)) = composition(join(complement(esk1_0),X1),esk1_0),
inference(spm,[status(thm)],[19,395144,theory(equality)]) ).
cnf(395274,negated_conjecture,
composition(join(complement(one),X1),esk1_0) = composition(join(complement(esk1_0),X1),esk1_0),
inference(rw,[status(thm)],[395181,19,theory(equality)]) ).
cnf(395936,negated_conjecture,
join(esk2_0,composition(join(complement(one),complement(complement(esk2_0))),esk2_0)) = composition(join(complement(one),complement(complement(esk2_0))),esk2_0),
inference(spm,[status(thm)],[7627,394996,theory(equality)]) ).
cnf(396419,negated_conjecture,
join(esk2_0,composition(complement(one),esk2_0)) = composition(join(complement(one),complement(complement(esk2_0))),esk2_0),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[395936,1617,theory(equality)]),25,theory(equality)]),6748,theory(equality)]) ).
cnf(396420,negated_conjecture,
join(esk2_0,composition(complement(one),esk2_0)) = composition(join(esk2_0,complement(one)),esk2_0),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[396419,1617,theory(equality)]),25,theory(equality)]) ).
cnf(396467,negated_conjecture,
join(complement(one),join(esk2_0,composition(complement(one),esk2_0))) = join(composition(esk2_0,esk2_0),complement(one)),
inference(spm,[status(thm)],[12449,396420,theory(equality)]) ).
cnf(396567,negated_conjecture,
join(esk2_0,complement(one)) = join(composition(esk2_0,esk2_0),complement(one)),
inference(rw,[status(thm)],[396467,5894,theory(equality)]) ).
cnf(396653,negated_conjecture,
join(complement(one),complement(join(esk2_0,complement(one)))) = join(complement(one),complement(composition(esk2_0,esk2_0))),
inference(spm,[status(thm)],[14889,396567,theory(equality)]) ).
cnf(396727,negated_conjecture,
complement(esk2_0) = join(complement(one),complement(composition(esk2_0,esk2_0))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[396653,14889,theory(equality)]),1230,theory(equality)]) ).
cnf(396728,negated_conjecture,
complement(esk2_0) = complement(composition(esk2_0,esk2_0)),
inference(rw,[status(thm)],[396727,5267,theory(equality)]) ).
cnf(396790,negated_conjecture,
complement(complement(esk2_0)) = composition(esk2_0,esk2_0),
inference(spm,[status(thm)],[1617,396728,theory(equality)]) ).
cnf(396924,negated_conjecture,
esk2_0 = composition(esk2_0,esk2_0),
inference(rw,[status(thm)],[396790,1617,theory(equality)]) ).
cnf(396974,negated_conjecture,
join(composition(X1,esk2_0),composition(X2,esk2_0)) = composition(join(X1,composition(X2,esk2_0)),esk2_0),
inference(spm,[status(thm)],[75,396924,theory(equality)]) ).
cnf(396992,negated_conjecture,
join(esk2_0,composition(esk2_0,X1)) = composition(esk2_0,join(esk2_0,X1)),
inference(spm,[status(thm)],[18662,396924,theory(equality)]) ).
cnf(397223,negated_conjecture,
composition(join(X1,X2),esk2_0) = composition(join(X1,composition(X2,esk2_0)),esk2_0),
inference(rw,[status(thm)],[396974,19,theory(equality)]) ).
cnf(401242,negated_conjecture,
composition(complement(one),esk2_0) = composition(join(complement(one),converse(complement(esk2_0))),esk2_0),
inference(spm,[status(thm)],[397223,3451,theory(equality)]) ).
cnf(401487,negated_conjecture,
composition(complement(one),esk2_0) = composition(converse(complement(esk2_0)),esk2_0),
inference(rw,[status(thm)],[401242,57249,theory(equality)]) ).
cnf(401659,negated_conjecture,
join(complement(converse(converse(complement(esk2_0)))),composition(esk2_0,complement(converse(composition(complement(one),esk2_0))))) = complement(converse(converse(complement(esk2_0)))),
inference(spm,[status(thm)],[91,401487,theory(equality)]) ).
cnf(401760,negated_conjecture,
join(esk2_0,composition(esk2_0,complement(composition(converse(esk2_0),complement(one))))) = complement(converse(converse(complement(esk2_0)))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[401659,17,theory(equality)]),1617,theory(equality)]),56907,theory(equality)]) ).
cnf(401761,negated_conjecture,
join(esk2_0,composition(esk2_0,complement(composition(converse(esk2_0),complement(one))))) = esk2_0,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[401760,17,theory(equality)]),1617,theory(equality)]) ).
cnf(407190,negated_conjecture,
join(esk1_0,composition(join(complement(one),complement(complement(esk1_0))),esk1_0)) = composition(join(complement(one),complement(complement(esk1_0))),esk1_0),
inference(spm,[status(thm)],[7627,395274,theory(equality)]) ).
cnf(407652,negated_conjecture,
join(esk1_0,composition(complement(one),esk1_0)) = composition(join(complement(one),complement(complement(esk1_0))),esk1_0),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[407190,1617,theory(equality)]),25,theory(equality)]),10866,theory(equality)]) ).
cnf(407653,negated_conjecture,
join(esk1_0,composition(complement(one),esk1_0)) = composition(join(esk1_0,complement(one)),esk1_0),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[407652,1617,theory(equality)]),25,theory(equality)]) ).
cnf(407935,negated_conjecture,
join(complement(one),join(esk1_0,composition(complement(one),esk1_0))) = join(composition(esk1_0,esk1_0),complement(one)),
inference(spm,[status(thm)],[13849,407653,theory(equality)]) ).
cnf(408034,negated_conjecture,
join(esk1_0,complement(one)) = join(composition(esk1_0,esk1_0),complement(one)),
inference(rw,[status(thm)],[407935,6082,theory(equality)]) ).
cnf(408119,negated_conjecture,
join(complement(one),complement(join(esk1_0,complement(one)))) = join(complement(one),complement(composition(esk1_0,esk1_0))),
inference(spm,[status(thm)],[14889,408034,theory(equality)]) ).
cnf(408193,negated_conjecture,
complement(esk1_0) = join(complement(one),complement(composition(esk1_0,esk1_0))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[408119,14889,theory(equality)]),1231,theory(equality)]) ).
cnf(408194,negated_conjecture,
complement(esk1_0) = complement(composition(esk1_0,esk1_0)),
inference(rw,[status(thm)],[408193,6279,theory(equality)]) ).
cnf(408256,negated_conjecture,
complement(complement(esk1_0)) = composition(esk1_0,esk1_0),
inference(spm,[status(thm)],[1617,408194,theory(equality)]) ).
cnf(408392,negated_conjecture,
esk1_0 = composition(esk1_0,esk1_0),
inference(rw,[status(thm)],[408256,1617,theory(equality)]) ).
cnf(408433,negated_conjecture,
composition(esk1_0,X1) = composition(esk1_0,composition(esk1_0,X1)),
inference(spm,[status(thm)],[27,408392,theory(equality)]) ).
cnf(408442,negated_conjecture,
join(composition(X1,esk1_0),composition(X2,esk1_0)) = composition(join(X1,composition(X2,esk1_0)),esk1_0),
inference(spm,[status(thm)],[75,408392,theory(equality)]) ).
cnf(408460,negated_conjecture,
join(esk1_0,composition(esk1_0,X1)) = composition(esk1_0,join(esk1_0,X1)),
inference(spm,[status(thm)],[18662,408392,theory(equality)]) ).
cnf(408683,negated_conjecture,
composition(join(X1,X2),esk1_0) = composition(join(X1,composition(X2,esk1_0)),esk1_0),
inference(rw,[status(thm)],[408442,19,theory(equality)]) ).
cnf(408794,negated_conjecture,
join(composition(esk1_0,X1),composition(esk1_0,X2)) = composition(esk1_0,join(X1,composition(esk1_0,X2))),
inference(spm,[status(thm)],[18662,408433,theory(equality)]) ).
cnf(409002,negated_conjecture,
composition(esk1_0,join(X1,X2)) = composition(esk1_0,join(X1,composition(esk1_0,X2))),
inference(rw,[status(thm)],[408794,18662,theory(equality)]) ).
cnf(410267,negated_conjecture,
composition(esk1_0,join(esk1_0,complement(esk1_0))) = join(esk1_0,composition(esk1_0,complement(composition(esk1_0,esk1_0)))),
inference(spm,[status(thm)],[408460,14750,theory(equality)]) ).
cnf(410585,negated_conjecture,
join(esk1_0,composition(esk1_0,complement(one))) = join(esk1_0,composition(esk1_0,complement(composition(esk1_0,esk1_0)))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[410267,7567,theory(equality)]),20330,theory(equality)]) ).
cnf(410586,negated_conjecture,
join(esk1_0,composition(esk1_0,complement(one))) = join(esk1_0,composition(esk1_0,complement(esk1_0))),
inference(rw,[status(thm)],[410585,408392,theory(equality)]) ).
cnf(411803,negated_conjecture,
join(esk1_0,complement(join(esk1_0,composition(esk1_0,complement(one))))) = join(esk1_0,complement(composition(esk1_0,complement(esk1_0)))),
inference(spm,[status(thm)],[14468,410586,theory(equality)]) ).
cnf(411866,negated_conjecture,
complement(composition(esk1_0,complement(one))) = join(esk1_0,complement(composition(esk1_0,complement(esk1_0)))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[411803,14468,theory(equality)]),11439,theory(equality)]) ).
cnf(412258,negated_conjecture,
join(complement(complement(composition(esk1_0,complement(one)))),complement(join(complement(composition(esk1_0,complement(esk1_0))),complement(esk1_0)))) = composition(esk1_0,complement(esk1_0)),
inference(spm,[status(thm)],[97,411866,theory(equality)]) ).
cnf(412327,negated_conjecture,
composition(esk1_0,complement(one)) = composition(esk1_0,complement(esk1_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)],[inference(rw,[status(thm)],[412258,1617,theory(equality)]),25,theory(equality)]),14750,theory(equality)]),1617,theory(equality)]),25,theory(equality)]),7567,theory(equality)]),7585,theory(equality)]) ).
cnf(412368,negated_conjecture,
join(complement(complement(esk1_0)),composition(converse(esk1_0),complement(composition(esk1_0,complement(one))))) = complement(complement(esk1_0)),
inference(spm,[status(thm)],[85,412327,theory(equality)]) ).
cnf(412461,negated_conjecture,
join(esk1_0,composition(converse(esk1_0),complement(composition(esk1_0,complement(one))))) = complement(complement(esk1_0)),
inference(rw,[status(thm)],[412368,1617,theory(equality)]) ).
cnf(412462,negated_conjecture,
join(esk1_0,composition(converse(esk1_0),complement(composition(esk1_0,complement(one))))) = esk1_0,
inference(rw,[status(thm)],[412461,1617,theory(equality)]) ).
cnf(417507,negated_conjecture,
composition(esk1_0,complement(one)) = composition(esk1_0,join(complement(one),complement(converse(esk1_0)))),
inference(spm,[status(thm)],[409002,3440,theory(equality)]) ).
cnf(417810,negated_conjecture,
composition(esk1_0,complement(one)) = composition(esk1_0,complement(converse(esk1_0))),
inference(rw,[status(thm)],[417507,1233,theory(equality)]) ).
cnf(462337,negated_conjecture,
join(one,converse(esk1_0)) = join(one,converse(composition(converse(esk1_0),complement(composition(esk1_0,complement(one)))))),
inference(spm,[status(thm)],[275,412462,theory(equality)]) ).
cnf(462404,negated_conjecture,
one = join(one,converse(composition(converse(esk1_0),complement(composition(esk1_0,complement(one)))))),
inference(rw,[status(thm)],[462337,273,theory(equality)]) ).
cnf(462405,negated_conjecture,
one = join(one,composition(converse(complement(composition(esk1_0,complement(one)))),esk1_0)),
inference(rw,[status(thm)],[462404,46,theory(equality)]) ).
cnf(539860,negated_conjecture,
composition(one,esk1_0) = composition(join(one,converse(complement(composition(esk1_0,complement(one))))),esk1_0),
inference(spm,[status(thm)],[408683,462405,theory(equality)]) ).
cnf(539992,negated_conjecture,
esk1_0 = composition(join(one,converse(complement(composition(esk1_0,complement(one))))),esk1_0),
inference(rw,[status(thm)],[539860,65466,theory(equality)]) ).
cnf(539993,negated_conjecture,
esk1_0 = join(esk1_0,composition(converse(complement(composition(esk1_0,complement(one)))),esk1_0)),
inference(rw,[status(thm)],[539992,231,theory(equality)]) ).
cnf(586004,negated_conjecture,
join(converse(one),complement(composition(esk1_0,complement(converse(esk1_0))))) = complement(composition(esk1_0,complement(converse(esk1_0)))),
inference(spm,[status(thm)],[3699,65466,theory(equality)]) ).
cnf(586241,negated_conjecture,
join(one,complement(composition(esk1_0,complement(one)))) = complement(composition(esk1_0,complement(converse(esk1_0)))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[586004,197,theory(equality)]),417810,theory(equality)]) ).
cnf(586242,negated_conjecture,
join(one,complement(composition(esk1_0,complement(one)))) = complement(composition(esk1_0,complement(one))),
inference(rw,[status(thm)],[586241,417810,theory(equality)]) ).
cnf(595660,negated_conjecture,
converse(esk1_0) = join(converse(esk1_0),composition(converse(esk1_0),complement(composition(esk1_0,complement(one))))),
inference(spm,[status(thm)],[176,539993,theory(equality)]) ).
cnf(595745,negated_conjecture,
converse(esk1_0) = composition(converse(esk1_0),complement(composition(esk1_0,complement(one)))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[595660,20397,theory(equality)]),25,theory(equality)]),586242,theory(equality)]) ).
cnf(595940,negated_conjecture,
join(esk1_0,converse(esk1_0)) = esk1_0,
inference(rw,[status(thm)],[412462,595745,theory(equality)]) ).
cnf(596069,negated_conjecture,
converse(esk1_0) = join(converse(esk1_0),esk1_0),
inference(spm,[status(thm)],[48,595940,theory(equality)]) ).
cnf(596181,negated_conjecture,
converse(esk1_0) = esk1_0,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[596069,25,theory(equality)]),595940,theory(equality)]) ).
cnf(596280,negated_conjecture,
join(esk1_0,converse(X1)) = converse(join(esk1_0,X1)),
inference(spm,[status(thm)],[23,596181,theory(equality)]) ).
cnf(597768,negated_conjecture,
converse(join(esk1_0,complement(esk1_0))) = join(esk1_0,converse(complement(composition(esk1_0,esk1_0)))),
inference(spm,[status(thm)],[596280,14750,theory(equality)]) ).
cnf(598192,negated_conjecture,
join(one,complement(one)) = join(esk1_0,converse(complement(composition(esk1_0,esk1_0)))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[597768,7567,theory(equality)]),218,theory(equality)]),56881,theory(equality)]) ).
cnf(598193,negated_conjecture,
join(one,complement(one)) = join(esk1_0,converse(complement(esk1_0))),
inference(rw,[status(thm)],[598192,408392,theory(equality)]) ).
cnf(598810,negated_conjecture,
join(esk1_0,complement(join(one,complement(one)))) = join(esk1_0,complement(converse(complement(esk1_0)))),
inference(spm,[status(thm)],[14468,598193,theory(equality)]) ).
cnf(598904,negated_conjecture,
esk1_0 = join(esk1_0,complement(converse(complement(esk1_0)))),
inference(rw,[status(thm)],[598810,7585,theory(equality)]) ).
cnf(599029,negated_conjecture,
join(complement(esk1_0),converse(complement(esk1_0))) = complement(esk1_0),
inference(spm,[status(thm)],[1220,598904,theory(equality)]) ).
cnf(599197,negated_conjecture,
converse(complement(esk1_0)) = join(converse(complement(esk1_0)),complement(esk1_0)),
inference(spm,[status(thm)],[48,599029,theory(equality)]) ).
cnf(599308,negated_conjecture,
converse(complement(esk1_0)) = complement(esk1_0),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[599197,25,theory(equality)]),599029,theory(equality)]) ).
cnf(599433,negated_conjecture,
composition(complement(esk1_0),converse(X1)) = converse(composition(X1,complement(esk1_0))),
inference(spm,[status(thm)],[15,599308,theory(equality)]) ).
cnf(685984,negated_conjecture,
composition(esk2_0,complement(composition(converse(esk2_0),complement(one)))) = join(esk2_0,composition(esk2_0,complement(composition(converse(esk2_0),complement(one))))),
inference(spm,[status(thm)],[396992,48543,theory(equality)]) ).
cnf(686066,negated_conjecture,
composition(esk2_0,complement(composition(converse(esk2_0),complement(one)))) = esk2_0,
inference(rw,[status(thm)],[685984,401761,theory(equality)]) ).
cnf(755872,plain,
join(X1,converse(complement(converse(X1)))) = join(X1,converse(complement(complement(join(X2,complement(X2)))))),
inference(spm,[status(thm)],[14924,7585,theory(equality)]) ).
cnf(756564,plain,
join(X1,converse(complement(converse(X1)))) = join(one,complement(one)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[755872,1617,theory(equality)]),8392,theory(equality)]),56881,theory(equality)]),7310,theory(equality)]) ).
cnf(757230,plain,
join(X1,complement(join(one,complement(one)))) = join(X1,complement(converse(complement(converse(X1))))),
inference(spm,[status(thm)],[14468,756564,theory(equality)]) ).
cnf(757599,plain,
join(X1,converse(complement(join(one,complement(one))))) = join(X1,converse(complement(converse(complement(converse(converse(X1))))))),
inference(spm,[status(thm)],[14924,756564,theory(equality)]) ).
cnf(757673,plain,
X1 = join(X1,complement(converse(complement(converse(X1))))),
inference(rw,[status(thm)],[757230,7585,theory(equality)]) ).
cnf(758105,plain,
X1 = join(X1,converse(complement(converse(complement(converse(converse(X1))))))),
inference(rw,[status(thm)],[757599,7909,theory(equality)]) ).
cnf(758106,plain,
X1 = join(X1,converse(complement(converse(complement(X1))))),
inference(rw,[status(thm)],[758105,17,theory(equality)]) ).
cnf(759059,plain,
join(complement(converse(complement(converse(complement(X1))))),complement(X1)) = complement(converse(complement(converse(complement(X1))))),
inference(spm,[status(thm)],[1632,758106,theory(equality)]) ).
cnf(759274,negated_conjecture,
composition(complement(esk2_0),esk2_0) = composition(join(complement(one),converse(complement(converse(complement(complement(esk2_0)))))),esk2_0),
inference(spm,[status(thm)],[394996,758106,theory(equality)]) ).
cnf(759456,plain,
complement(X1) = complement(converse(complement(converse(complement(X1))))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[759059,25,theory(equality)]),757673,theory(equality)]) ).
cnf(759711,negated_conjecture,
composition(complement(one),esk2_0) = composition(join(complement(one),converse(complement(converse(complement(complement(esk2_0)))))),esk2_0),
inference(rw,[status(thm)],[759274,394866,theory(equality)]) ).
cnf(759712,negated_conjecture,
composition(complement(one),esk2_0) = composition(converse(complement(converse(esk2_0))),esk2_0),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[759711,1617,theory(equality)]),57252,theory(equality)]) ).
cnf(759914,negated_conjecture,
join(complement(converse(converse(complement(converse(esk2_0))))),composition(esk2_0,complement(converse(composition(complement(one),esk2_0))))) = complement(converse(converse(complement(converse(esk2_0))))),
inference(spm,[status(thm)],[91,759712,theory(equality)]) ).
cnf(760047,negated_conjecture,
join(esk2_0,converse(esk2_0)) = complement(converse(converse(complement(converse(esk2_0))))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[759914,17,theory(equality)]),1617,theory(equality)]),56907,theory(equality)]),686066,theory(equality)]),25,theory(equality)]) ).
cnf(760048,negated_conjecture,
join(esk2_0,converse(esk2_0)) = converse(esk2_0),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[760047,17,theory(equality)]),1617,theory(equality)]) ).
cnf(760166,negated_conjecture,
converse(converse(esk2_0)) = join(converse(esk2_0),esk2_0),
inference(spm,[status(thm)],[48,760048,theory(equality)]) ).
cnf(760271,negated_conjecture,
esk2_0 = join(converse(esk2_0),esk2_0),
inference(rw,[status(thm)],[760166,17,theory(equality)]) ).
cnf(760272,negated_conjecture,
esk2_0 = converse(esk2_0),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[760271,25,theory(equality)]),760048,theory(equality)]) ).
cnf(760363,negated_conjecture,
composition(converse(X1),esk2_0) = converse(composition(esk2_0,X1)),
inference(spm,[status(thm)],[15,760272,theory(equality)]) ).
cnf(760438,negated_conjecture,
join(X1,composition(esk2_0,complement(composition(esk2_0,complement(X1))))) = X1,
inference(spm,[status(thm)],[1626,760272,theory(equality)]) ).
cnf(760564,negated_conjecture,
composition(esk2_0,complement(composition(esk2_0,complement(one)))) = esk2_0,
inference(rw,[status(thm)],[686066,760272,theory(equality)]) ).
cnf(764129,negated_conjecture,
converse(esk2_0) = composition(converse(complement(composition(esk2_0,complement(one)))),esk2_0),
inference(spm,[status(thm)],[760363,760564,theory(equality)]) ).
cnf(764263,negated_conjecture,
esk2_0 = composition(converse(complement(composition(esk2_0,complement(one)))),esk2_0),
inference(rw,[status(thm)],[764129,760272,theory(equality)]) ).
cnf(764283,plain,
complement(complement(X1)) = converse(complement(converse(complement(X1)))),
inference(spm,[status(thm)],[1617,759456,theory(equality)]) ).
cnf(764445,plain,
X1 = converse(complement(converse(complement(X1)))),
inference(rw,[status(thm)],[764283,1617,theory(equality)]) ).
cnf(764543,plain,
converse(X1) = complement(converse(complement(X1))),
inference(spm,[status(thm)],[17,764445,theory(equality)]) ).
cnf(764723,plain,
complement(converse(X1)) = converse(complement(X1)),
inference(spm,[status(thm)],[1617,764543,theory(equality)]) ).
cnf(765588,negated_conjecture,
composition(complement(composition(complement(one),esk2_0)),esk2_0) = esk2_0,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[764263,764723,theory(equality)]),56906,theory(equality)]),760272,theory(equality)]) ).
cnf(773133,negated_conjecture,
converse(esk1_0) = join(esk1_0,converse(composition(esk2_0,complement(composition(esk2_0,complement(esk1_0)))))),
inference(spm,[status(thm)],[596280,760438,theory(equality)]) ).
cnf(773478,negated_conjecture,
esk1_0 = join(esk1_0,converse(composition(esk2_0,complement(composition(esk2_0,complement(esk1_0)))))),
inference(rw,[status(thm)],[773133,596181,theory(equality)]) ).
cnf(773479,negated_conjecture,
esk1_0 = join(esk1_0,composition(complement(composition(complement(esk1_0),esk2_0)),esk2_0)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[773478,760363,theory(equality)]),764723,theory(equality)]),599433,theory(equality)]),760272,theory(equality)]) ).
cnf(773883,negated_conjecture,
composition(esk1_0,esk2_0) = composition(join(esk1_0,complement(composition(complement(esk1_0),esk2_0))),esk2_0),
inference(spm,[status(thm)],[397223,773479,theory(equality)]) ).
cnf(773982,negated_conjecture,
composition(esk1_0,esk2_0) = composition(complement(composition(complement(esk1_0),esk2_0)),esk2_0),
inference(rw,[status(thm)],[773883,122437,theory(equality)]) ).
cnf(774122,negated_conjecture,
composition(join(one,complement(composition(complement(esk1_0),esk2_0))),composition(esk1_0,esk2_0)) = composition(complement(composition(complement(esk1_0),esk2_0)),composition(join(one,complement(composition(complement(esk1_0),esk2_0))),esk2_0)),
inference(spm,[status(thm)],[75069,773982,theory(equality)]) ).
cnf(774256,negated_conjecture,
composition(complement(composition(complement(one),esk2_0)),composition(esk1_0,esk2_0)) = composition(complement(composition(complement(esk1_0),esk2_0)),composition(join(one,complement(composition(complement(esk1_0),esk2_0))),esk2_0)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[774122,63970,theory(equality)]),122437,theory(equality)]) ).
cnf(774257,negated_conjecture,
composition(complement(composition(complement(one),esk2_0)),composition(esk1_0,esk2_0)) = composition(esk1_0,esk2_0),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[774256,63970,theory(equality)]),122437,theory(equality)]),765588,theory(equality)]),773982,theory(equality)]) ).
cnf(1179200,negated_conjecture,
join(complement(esk1_0),composition(join(one,complement(one)),esk2_0)) = join(complement(esk1_0),composition(composition(complement(composition(complement(one),esk2_0)),esk1_0),esk2_0)),
inference(spm,[status(thm)],[11997,65231,theory(equality)]) ).
cnf(1179353,negated_conjecture,
join(esk2_0,complement(esk1_0)) = join(complement(esk1_0),composition(composition(complement(composition(complement(one),esk2_0)),esk1_0),esk2_0)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1179200,231,theory(equality)]),68,theory(equality)]),12155,theory(equality)]) ).
cnf(1179354,negated_conjecture,
join(esk2_0,complement(esk1_0)) = join(composition(esk1_0,esk2_0),complement(esk1_0)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1179353,27,theory(equality)]),774257,theory(equality)]),25,theory(equality)]) ).
cnf(1179542,negated_conjecture,
join(complement(esk1_0),complement(join(esk2_0,complement(esk1_0)))) = join(complement(esk1_0),complement(composition(esk1_0,esk2_0))),
inference(spm,[status(thm)],[14889,1179354,theory(equality)]) ).
cnf(1179701,negated_conjecture,
join(complement(esk1_0),complement(esk2_0)) = join(complement(esk1_0),complement(composition(esk1_0,esk2_0))),
inference(rw,[status(thm)],[1179542,14889,theory(equality)]) ).
cnf(1179702,negated_conjecture,
join(complement(esk1_0),complement(esk2_0)) = complement(composition(esk1_0,esk2_0)),
inference(rw,[status(thm)],[1179701,5926,theory(equality)]) ).
cnf(1180046,negated_conjecture,
$false,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[42,1179702,theory(equality)]),1617,theory(equality)]) ).
cnf(1180047,negated_conjecture,
$false,
inference(cn,[status(thm)],[1180046,theory(equality)]) ).
cnf(1180048,negated_conjecture,
$false,
1180047,
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% % SZS status Started for /home/graph/tptp/TPTP/Problems/REL/REL028+1.p
% --creating new selector for [REL001+0.ax]
% eprover: CPU time limit exceeded, terminating
% eprover: CPU time limit exceeded, terminating
% -running prover on /tmp/tmpUe4yek/sel_REL028+1.p_1 with time limit 29
% -prover status ResourceOut
% -running prover on /tmp/tmpUe4yek/sel_REL028+1.p_2 with time limit 81
% -prover status ResourceOut
% --creating new selector for [REL001+0.ax]
% eprover: CPU time limit exceeded, terminating
% -running prover on /tmp/tmpUe4yek/sel_REL028+1.p_3 with time limit 74
% -prover status ResourceOut
% --creating new selector for [REL001+0.ax]
% -running prover on /tmp/tmpUe4yek/sel_REL028+1.p_4 with time limit 54
% -prover status Theorem
% Problem REL028+1.p solved in phase 3.
% % SZS status Theorem for /home/graph/tptp/TPTP/Problems/REL/REL028+1.p
% % SZS status Ended for /home/graph/tptp/TPTP/Problems/REL/REL028+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
%
%------------------------------------------------------------------------------