TSTP Solution File: REL027+4 by SInE---0.4
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- Process Solution
%------------------------------------------------------------------------------
% File : SInE---0.4
% Problem : REL027+4 : 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 01:19:38 EST 2010
% Result : Theorem 3.28s
% Output : CNFRefutation 3.28s
% Verified :
% SZS Type : Refutation
% Derivation depth : 44
% Number of leaves : 12
% Syntax : Number of formulae : 127 ( 109 unt; 0 def)
% Number of atoms : 150 ( 145 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 53 ( 30 ~; 16 |; 5 &)
% ( 0 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 2 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 : 167 ( 10 sgn 44 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(3,axiom,
! [X1,X2] : converse(composition(X1,X2)) = composition(converse(X2),converse(X1)),
file('/tmp/tmpGs4Vq4/sel_REL027+4.p_1',converse_multiplicativity) ).
fof(4,axiom,
! [X1] : converse(converse(X1)) = X1,
file('/tmp/tmpGs4Vq4/sel_REL027+4.p_1',converse_idempotence) ).
fof(5,axiom,
! [X1] : composition(X1,one) = X1,
file('/tmp/tmpGs4Vq4/sel_REL027+4.p_1',composition_identity) ).
fof(6,axiom,
! [X1,X2] : converse(join(X1,X2)) = join(converse(X1),converse(X2)),
file('/tmp/tmpGs4Vq4/sel_REL027+4.p_1',converse_additivity) ).
fof(7,axiom,
! [X1,X2] : join(X1,X2) = join(X2,X1),
file('/tmp/tmpGs4Vq4/sel_REL027+4.p_1',maddux1_join_commutativity) ).
fof(10,axiom,
! [X1] : top = join(X1,complement(X1)),
file('/tmp/tmpGs4Vq4/sel_REL027+4.p_1',def_top) ).
fof(11,axiom,
! [X1,X2] : meet(X1,X2) = complement(join(complement(X1),complement(X2))),
file('/tmp/tmpGs4Vq4/sel_REL027+4.p_1',maddux4_definiton_of_meet) ).
fof(12,axiom,
! [X1,X2,X3] : composition(join(X1,X2),X3) = join(composition(X1,X3),composition(X2,X3)),
file('/tmp/tmpGs4Vq4/sel_REL027+4.p_1',composition_distributivity) ).
fof(13,axiom,
! [X1,X2,X3] : join(X1,join(X2,X3)) = join(join(X1,X2),X3),
file('/tmp/tmpGs4Vq4/sel_REL027+4.p_1',maddux2_join_associativity) ).
fof(14,axiom,
! [X1,X2] : X1 = join(complement(join(complement(X1),complement(X2))),complement(join(complement(X1),X2))),
file('/tmp/tmpGs4Vq4/sel_REL027+4.p_1',maddux3_a_kind_of_de_Morgan) ).
fof(15,axiom,
! [X1,X2] : join(composition(converse(X1),complement(composition(X1,X2))),complement(X2)) = complement(X2),
file('/tmp/tmpGs4Vq4/sel_REL027+4.p_1',converse_cancellativity) ).
fof(16,conjecture,
! [X1] :
( join(X1,one) = one
=> ( join(meet(complement(composition(X1,top)),one),meet(complement(X1),one)) = meet(complement(X1),one)
& join(meet(complement(X1),one),meet(complement(composition(X1,top)),one)) = meet(complement(composition(X1,top)),one) ) ),
file('/tmp/tmpGs4Vq4/sel_REL027+4.p_1',goals) ).
fof(17,negated_conjecture,
~ ! [X1] :
( join(X1,one) = one
=> ( join(meet(complement(composition(X1,top)),one),meet(complement(X1),one)) = meet(complement(X1),one)
& join(meet(complement(X1),one),meet(complement(composition(X1,top)),one)) = meet(complement(composition(X1,top)),one) ) ),
inference(assume_negation,[status(cth)],[16]) ).
fof(22,plain,
! [X3,X4] : converse(composition(X3,X4)) = composition(converse(X4),converse(X3)),
inference(variable_rename,[status(thm)],[3]) ).
cnf(23,plain,
converse(composition(X1,X2)) = composition(converse(X2),converse(X1)),
inference(split_conjunct,[status(thm)],[22]) ).
fof(24,plain,
! [X2] : converse(converse(X2)) = X2,
inference(variable_rename,[status(thm)],[4]) ).
cnf(25,plain,
converse(converse(X1)) = X1,
inference(split_conjunct,[status(thm)],[24]) ).
fof(26,plain,
! [X2] : composition(X2,one) = X2,
inference(variable_rename,[status(thm)],[5]) ).
cnf(27,plain,
composition(X1,one) = X1,
inference(split_conjunct,[status(thm)],[26]) ).
fof(28,plain,
! [X3,X4] : converse(join(X3,X4)) = join(converse(X3),converse(X4)),
inference(variable_rename,[status(thm)],[6]) ).
cnf(29,plain,
converse(join(X1,X2)) = join(converse(X1),converse(X2)),
inference(split_conjunct,[status(thm)],[28]) ).
fof(30,plain,
! [X3,X4] : join(X3,X4) = join(X4,X3),
inference(variable_rename,[status(thm)],[7]) ).
cnf(31,plain,
join(X1,X2) = join(X2,X1),
inference(split_conjunct,[status(thm)],[30]) ).
fof(36,plain,
! [X2] : top = join(X2,complement(X2)),
inference(variable_rename,[status(thm)],[10]) ).
cnf(37,plain,
top = join(X1,complement(X1)),
inference(split_conjunct,[status(thm)],[36]) ).
fof(38,plain,
! [X3,X4] : meet(X3,X4) = complement(join(complement(X3),complement(X4))),
inference(variable_rename,[status(thm)],[11]) ).
cnf(39,plain,
meet(X1,X2) = complement(join(complement(X1),complement(X2))),
inference(split_conjunct,[status(thm)],[38]) ).
fof(40,plain,
! [X4,X5,X6] : composition(join(X4,X5),X6) = join(composition(X4,X6),composition(X5,X6)),
inference(variable_rename,[status(thm)],[12]) ).
cnf(41,plain,
composition(join(X1,X2),X3) = join(composition(X1,X3),composition(X2,X3)),
inference(split_conjunct,[status(thm)],[40]) ).
fof(42,plain,
! [X4,X5,X6] : join(X4,join(X5,X6)) = join(join(X4,X5),X6),
inference(variable_rename,[status(thm)],[13]) ).
cnf(43,plain,
join(X1,join(X2,X3)) = join(join(X1,X2),X3),
inference(split_conjunct,[status(thm)],[42]) ).
fof(44,plain,
! [X3,X4] : X3 = join(complement(join(complement(X3),complement(X4))),complement(join(complement(X3),X4))),
inference(variable_rename,[status(thm)],[14]) ).
cnf(45,plain,
X1 = join(complement(join(complement(X1),complement(X2))),complement(join(complement(X1),X2))),
inference(split_conjunct,[status(thm)],[44]) ).
fof(46,plain,
! [X3,X4] : join(composition(converse(X3),complement(composition(X3,X4))),complement(X4)) = complement(X4),
inference(variable_rename,[status(thm)],[15]) ).
cnf(47,plain,
join(composition(converse(X1),complement(composition(X1,X2))),complement(X2)) = complement(X2),
inference(split_conjunct,[status(thm)],[46]) ).
fof(48,negated_conjecture,
? [X1] :
( join(X1,one) = one
& ( join(meet(complement(composition(X1,top)),one),meet(complement(X1),one)) != meet(complement(X1),one)
| join(meet(complement(X1),one),meet(complement(composition(X1,top)),one)) != meet(complement(composition(X1,top)),one) ) ),
inference(fof_nnf,[status(thm)],[17]) ).
fof(49,negated_conjecture,
? [X2] :
( join(X2,one) = one
& ( join(meet(complement(composition(X2,top)),one),meet(complement(X2),one)) != meet(complement(X2),one)
| join(meet(complement(X2),one),meet(complement(composition(X2,top)),one)) != meet(complement(composition(X2,top)),one) ) ),
inference(variable_rename,[status(thm)],[48]) ).
fof(50,negated_conjecture,
( join(esk1_0,one) = one
& ( join(meet(complement(composition(esk1_0,top)),one),meet(complement(esk1_0),one)) != meet(complement(esk1_0),one)
| join(meet(complement(esk1_0),one),meet(complement(composition(esk1_0,top)),one)) != meet(complement(composition(esk1_0,top)),one) ) ),
inference(skolemize,[status(esa)],[49]) ).
cnf(51,negated_conjecture,
( join(meet(complement(esk1_0),one),meet(complement(composition(esk1_0,top)),one)) != meet(complement(composition(esk1_0,top)),one)
| join(meet(complement(composition(esk1_0,top)),one),meet(complement(esk1_0),one)) != meet(complement(esk1_0),one) ),
inference(split_conjunct,[status(thm)],[50]) ).
cnf(52,negated_conjecture,
join(esk1_0,one) = one,
inference(split_conjunct,[status(thm)],[50]) ).
cnf(56,negated_conjecture,
( join(complement(join(complement(complement(composition(esk1_0,top))),complement(one))),complement(join(complement(complement(esk1_0)),complement(one)))) != complement(join(complement(complement(esk1_0)),complement(one)))
| join(complement(join(complement(complement(esk1_0)),complement(one))),complement(join(complement(complement(composition(esk1_0,top))),complement(one)))) != complement(join(complement(complement(composition(esk1_0,top))),complement(one))) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[51,39,theory(equality)]),39,theory(equality)]),39,theory(equality)]),39,theory(equality)]),39,theory(equality)]),39,theory(equality)]),
[unfolding] ).
cnf(57,negated_conjecture,
join(one,esk1_0) = one,
inference(rw,[status(thm)],[52,31,theory(equality)]) ).
cnf(64,plain,
join(X1,join(X2,complement(join(X1,X2)))) = top,
inference(spm,[status(thm)],[37,43,theory(equality)]) ).
cnf(65,plain,
join(top,X2) = join(X1,join(complement(X1),X2)),
inference(spm,[status(thm)],[43,37,theory(equality)]) ).
cnf(67,plain,
join(X1,join(X2,X3)) = join(X3,join(X1,X2)),
inference(spm,[status(thm)],[31,43,theory(equality)]) ).
cnf(69,plain,
join(join(X2,X1),X3) = join(X1,join(X2,X3)),
inference(spm,[status(thm)],[43,31,theory(equality)]) ).
cnf(73,plain,
join(X2,join(X1,X3)) = join(X1,join(X2,X3)),
inference(rw,[status(thm)],[69,43,theory(equality)]) ).
cnf(75,plain,
composition(X1,converse(X2)) = converse(composition(X2,converse(X1))),
inference(spm,[status(thm)],[23,25,theory(equality)]) ).
cnf(76,plain,
composition(converse(X1),X2) = converse(composition(converse(X2),X1)),
inference(spm,[status(thm)],[23,25,theory(equality)]) ).
cnf(78,plain,
join(X1,converse(X2)) = converse(join(converse(X1),X2)),
inference(spm,[status(thm)],[29,25,theory(equality)]) ).
cnf(100,plain,
join(complement(X2),composition(converse(X1),complement(composition(X1,X2)))) = complement(X2),
inference(rw,[status(thm)],[47,31,theory(equality)]) ).
cnf(107,plain,
join(complement(join(complement(X1),X2)),complement(join(complement(X1),complement(X2)))) = X1,
inference(rw,[status(thm)],[45,31,theory(equality)]) ).
cnf(112,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)],[107,107,theory(equality)]) ).
cnf(114,plain,
join(complement(join(X2,complement(X1))),complement(join(complement(X1),complement(X2)))) = X1,
inference(spm,[status(thm)],[107,31,theory(equality)]) ).
cnf(192,negated_conjecture,
( join(complement(join(complement(one),complement(complement(esk1_0)))),complement(join(complement(one),complement(complement(composition(esk1_0,top)))))) != complement(join(complement(complement(esk1_0)),complement(one)))
| join(complement(join(complement(complement(esk1_0)),complement(one))),complement(join(complement(complement(composition(esk1_0,top))),complement(one)))) != complement(join(complement(complement(composition(esk1_0,top))),complement(one))) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[56,31,theory(equality)]),31,theory(equality)]),31,theory(equality)]) ).
cnf(193,negated_conjecture,
( join(complement(join(complement(one),complement(complement(esk1_0)))),complement(join(complement(one),complement(complement(composition(esk1_0,top)))))) != complement(join(complement(one),complement(complement(esk1_0))))
| join(complement(join(complement(complement(esk1_0)),complement(one))),complement(join(complement(complement(composition(esk1_0,top))),complement(one)))) != complement(join(complement(complement(composition(esk1_0,top))),complement(one))) ),
inference(rw,[status(thm)],[192,31,theory(equality)]) ).
cnf(194,negated_conjecture,
( join(complement(join(complement(one),complement(complement(esk1_0)))),complement(join(complement(one),complement(complement(composition(esk1_0,top)))))) != complement(join(complement(one),complement(complement(esk1_0))))
| join(complement(join(complement(one),complement(complement(esk1_0)))),complement(join(complement(one),complement(complement(composition(esk1_0,top)))))) != complement(join(complement(complement(composition(esk1_0,top))),complement(one))) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[193,31,theory(equality)]),31,theory(equality)]) ).
cnf(195,negated_conjecture,
( join(complement(join(complement(one),complement(complement(esk1_0)))),complement(join(complement(one),complement(complement(composition(esk1_0,top)))))) != complement(join(complement(one),complement(complement(esk1_0))))
| join(complement(join(complement(one),complement(complement(esk1_0)))),complement(join(complement(one),complement(complement(composition(esk1_0,top)))))) != complement(join(complement(one),complement(complement(composition(esk1_0,top))))) ),
inference(rw,[status(thm)],[194,31,theory(equality)]) ).
cnf(342,plain,
join(X1,top) = join(top,complement(complement(X1))),
inference(spm,[status(thm)],[65,37,theory(equality)]) ).
cnf(847,plain,
converse(converse(X1)) = composition(converse(one),X1),
inference(spm,[status(thm)],[76,27,theory(equality)]) ).
cnf(865,plain,
X1 = composition(converse(one),X1),
inference(rw,[status(thm)],[847,25,theory(equality)]) ).
cnf(883,plain,
one = converse(one),
inference(spm,[status(thm)],[27,865,theory(equality)]) ).
cnf(929,plain,
composition(one,X1) = X1,
inference(rw,[status(thm)],[865,883,theory(equality)]) ).
cnf(941,plain,
join(X1,composition(X2,X1)) = composition(join(one,X2),X1),
inference(spm,[status(thm)],[41,929,theory(equality)]) ).
cnf(943,plain,
join(complement(X1),composition(converse(one),complement(X1))) = complement(X1),
inference(spm,[status(thm)],[100,929,theory(equality)]) ).
cnf(954,plain,
join(complement(X1),complement(X1)) = complement(X1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[943,883,theory(equality)]),929,theory(equality)]) ).
cnf(967,plain,
join(complement(complement(X1)),complement(join(complement(X1),complement(complement(X1))))) = X1,
inference(spm,[status(thm)],[107,954,theory(equality)]) ).
cnf(978,plain,
join(complement(X1),join(complement(X1),complement(complement(X1)))) = top,
inference(spm,[status(thm)],[64,954,theory(equality)]) ).
cnf(987,plain,
join(complement(top),complement(complement(X1))) = X1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[967,37,theory(equality)]),31,theory(equality)]) ).
cnf(1003,plain,
join(top,complement(X1)) = top,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[978,37,theory(equality)]),31,theory(equality)]) ).
cnf(1019,plain,
top = join(X1,top),
inference(rw,[status(thm)],[342,1003,theory(equality)]) ).
cnf(1041,plain,
join(complement(top),complement(join(complement(X1),complement(top)))) = X1,
inference(spm,[status(thm)],[107,1019,theory(equality)]) ).
cnf(1046,plain,
top = join(top,X1),
inference(spm,[status(thm)],[31,1019,theory(equality)]) ).
cnf(1229,plain,
converse(top) = join(X1,converse(complement(converse(X1)))),
inference(spm,[status(thm)],[78,37,theory(equality)]) ).
cnf(1248,plain,
converse(top) = join(X1,converse(top)),
inference(spm,[status(thm)],[78,1019,theory(equality)]) ).
cnf(1277,plain,
join(complement(top),complement(join(complement(top),complement(X1)))) = X1,
inference(spm,[status(thm)],[1041,31,theory(equality)]) ).
cnf(1295,plain,
converse(top) = top,
inference(spm,[status(thm)],[1046,1248,theory(equality)]) ).
cnf(1546,plain,
join(complement(top),complement(X1)) = complement(X1),
inference(spm,[status(thm)],[1277,987,theory(equality)]) ).
cnf(1584,plain,
complement(complement(X1)) = X1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[1277,1546,theory(equality)]),1546,theory(equality)]) ).
cnf(1585,plain,
complement(join(complement(X1),complement(top))) = X1,
inference(rw,[status(thm)],[1041,1546,theory(equality)]) ).
cnf(1608,plain,
join(X1,X1) = X1,
inference(spm,[status(thm)],[954,1584,theory(equality)]) ).
cnf(1610,plain,
join(complement(top),X1) = X1,
inference(spm,[status(thm)],[1546,1584,theory(equality)]) ).
cnf(1611,negated_conjecture,
( join(complement(join(esk1_0,complement(one))),complement(join(complement(one),composition(esk1_0,top)))) != complement(join(complement(one),complement(complement(composition(esk1_0,top)))))
| join(complement(join(complement(one),complement(complement(esk1_0)))),complement(join(complement(one),complement(complement(composition(esk1_0,top)))))) != complement(join(complement(one),complement(complement(esk1_0)))) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[195,1584,theory(equality)]),31,theory(equality)]),1584,theory(equality)]) ).
cnf(1612,negated_conjecture,
( join(complement(join(esk1_0,complement(one))),complement(join(complement(one),composition(esk1_0,top)))) != complement(join(complement(one),composition(esk1_0,top)))
| join(complement(join(complement(one),complement(complement(esk1_0)))),complement(join(complement(one),complement(complement(composition(esk1_0,top)))))) != complement(join(complement(one),complement(complement(esk1_0)))) ),
inference(rw,[status(thm)],[1611,1584,theory(equality)]) ).
cnf(1613,negated_conjecture,
( join(complement(join(esk1_0,complement(one))),complement(join(complement(one),composition(esk1_0,top)))) != complement(join(complement(one),composition(esk1_0,top)))
| join(complement(join(esk1_0,complement(one))),complement(join(complement(one),composition(esk1_0,top)))) != complement(join(complement(one),complement(complement(esk1_0)))) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1612,1584,theory(equality)]),31,theory(equality)]),1584,theory(equality)]) ).
cnf(1614,negated_conjecture,
( join(complement(join(esk1_0,complement(one))),complement(join(complement(one),composition(esk1_0,top)))) != complement(join(complement(one),composition(esk1_0,top)))
| join(complement(join(esk1_0,complement(one))),complement(join(complement(one),composition(esk1_0,top)))) != complement(join(esk1_0,complement(one))) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[1613,1584,theory(equality)]),31,theory(equality)]) ).
cnf(1621,plain,
join(X1,complement(join(complement(X1),complement(complement(top))))) = X1,
inference(spm,[status(thm)],[107,1585,theory(equality)]) ).
cnf(1646,plain,
join(X1,complement(top)) = X1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1621,1584,theory(equality)]),31,theory(equality)]),1046,theory(equality)]) ).
cnf(1661,plain,
join(X1,X2) = join(X1,join(X1,X2)),
inference(spm,[status(thm)],[43,1608,theory(equality)]) ).
cnf(1682,plain,
join(X1,X2) = join(X2,join(X1,X2)),
inference(spm,[status(thm)],[67,1608,theory(equality)]) ).
cnf(2067,plain,
join(complement(join(complement(X1),X2)),X1) = X1,
inference(spm,[status(thm)],[1661,107,theory(equality)]) ).
cnf(2119,plain,
join(X1,complement(join(complement(X1),X2))) = X1,
inference(rw,[status(thm)],[2067,31,theory(equality)]) ).
cnf(2341,plain,
join(X1,converse(complement(converse(X1)))) = top,
inference(rw,[status(thm)],[1229,1295,theory(equality)]) ).
cnf(2518,plain,
join(complement(X1),complement(join(X1,X2))) = complement(X1),
inference(spm,[status(thm)],[2119,1584,theory(equality)]) ).
cnf(2527,plain,
join(X1,complement(join(X2,complement(X1)))) = X1,
inference(spm,[status(thm)],[2119,1682,theory(equality)]) ).
cnf(2832,plain,
join(complement(X1),complement(join(X2,X1))) = complement(X1),
inference(spm,[status(thm)],[2527,1584,theory(equality)]) ).
cnf(5156,plain,
join(complement(X1),complement(join(complement(X1),join(complement(X2),complement(join(complement(X1),X2)))))) = join(complement(X1),X2),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[112,1584,theory(equality)]),73,theory(equality)]),31,theory(equality)]) ).
cnf(5537,plain,
join(complement(X1),complement(join(complement(X1),complement(X2)))) = join(complement(X1),X2),
inference(rw,[status(thm)],[5156,2832,theory(equality)]) ).
cnf(5938,plain,
join(complement(join(join(X1,complement(complement(X2))),complement(X2))),complement(complement(X2))) = X2,
inference(spm,[status(thm)],[114,2527,theory(equality)]) ).
cnf(5998,plain,
complement(complement(X2)) = X2,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[5938,43,theory(equality)]),31,theory(equality)]),37,theory(equality)]),1019,theory(equality)]),1610,theory(equality)]) ).
cnf(6050,plain,
join(X1,complement(join(X1,complement(X2)))) = join(X1,X2),
inference(spm,[status(thm)],[5537,5998,theory(equality)]) ).
cnf(31417,plain,
join(complement(join(X1,X2)),complement(join(complement(join(X1,complement(X2))),complement(X1)))) = join(X1,complement(X2)),
inference(spm,[status(thm)],[114,6050,theory(equality)]) ).
cnf(31630,plain,
join(X1,complement(join(X1,X2))) = join(X1,complement(X2)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[31417,31,theory(equality)]),2518,theory(equality)]),1584,theory(equality)]),31,theory(equality)]) ).
cnf(32589,plain,
join(X1,complement(top)) = join(X1,complement(converse(complement(converse(X1))))),
inference(spm,[status(thm)],[31630,2341,theory(equality)]) ).
cnf(32886,plain,
X1 = join(X1,complement(converse(complement(converse(X1))))),
inference(rw,[status(thm)],[32589,1646,theory(equality)]) ).
cnf(33833,plain,
converse(converse(X1)) = join(X1,converse(complement(converse(complement(converse(converse(X1))))))),
inference(spm,[status(thm)],[78,32886,theory(equality)]) ).
cnf(33967,plain,
X1 = join(X1,converse(complement(converse(complement(converse(converse(X1))))))),
inference(rw,[status(thm)],[33833,25,theory(equality)]) ).
cnf(33968,plain,
X1 = join(X1,converse(complement(converse(complement(X1))))),
inference(rw,[status(thm)],[33967,25,theory(equality)]) ).
cnf(35862,plain,
join(complement(converse(complement(converse(complement(X1))))),complement(X1)) = complement(converse(complement(converse(complement(X1))))),
inference(spm,[status(thm)],[2832,33968,theory(equality)]) ).
cnf(35943,plain,
complement(X1) = complement(converse(complement(converse(complement(X1))))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[35862,31,theory(equality)]),32886,theory(equality)]) ).
cnf(36263,plain,
join(complement(join(complement(X1),X2)),complement(join(complement(X1),complement(X2)))) = converse(complement(converse(complement(X1)))),
inference(spm,[status(thm)],[107,35943,theory(equality)]) ).
cnf(36413,plain,
X1 = converse(complement(converse(complement(X1)))),
inference(rw,[status(thm)],[36263,107,theory(equality)]) ).
cnf(36540,plain,
converse(X1) = complement(converse(complement(X1))),
inference(spm,[status(thm)],[25,36413,theory(equality)]) ).
cnf(36665,plain,
complement(converse(X1)) = converse(complement(X1)),
inference(spm,[status(thm)],[5998,36540,theory(equality)]) ).
cnf(69162,plain,
join(X1,composition(complement(one),X1)) = composition(top,X1),
inference(spm,[status(thm)],[941,37,theory(equality)]) ).
cnf(69175,negated_conjecture,
join(X1,composition(esk1_0,X1)) = composition(one,X1),
inference(spm,[status(thm)],[941,57,theory(equality)]) ).
cnf(69530,negated_conjecture,
join(X1,composition(esk1_0,X1)) = X1,
inference(rw,[status(thm)],[69175,929,theory(equality)]) ).
cnf(69921,negated_conjecture,
join(X1,X2) = join(X2,join(X1,composition(esk1_0,X2))),
inference(spm,[status(thm)],[73,69530,theory(equality)]) ).
cnf(73627,plain,
converse(composition(top,converse(X1))) = join(X1,converse(composition(complement(one),converse(X1)))),
inference(spm,[status(thm)],[78,69162,theory(equality)]) ).
cnf(73740,plain,
composition(X1,top) = join(X1,converse(composition(complement(one),converse(X1)))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[73627,75,theory(equality)]),1295,theory(equality)]) ).
cnf(73741,plain,
composition(X1,top) = join(X1,composition(X1,complement(one))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[73740,75,theory(equality)]),36665,theory(equality)]),883,theory(equality)]) ).
cnf(92332,negated_conjecture,
join(complement(one),composition(esk1_0,top)) = join(esk1_0,complement(one)),
inference(spm,[status(thm)],[69921,73741,theory(equality)]) ).
cnf(92625,negated_conjecture,
( complement(join(esk1_0,complement(one))) != complement(join(complement(one),composition(esk1_0,top)))
| join(complement(join(esk1_0,complement(one))),complement(join(complement(one),composition(esk1_0,top)))) != complement(join(esk1_0,complement(one))) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[1614,92332,theory(equality)]),1608,theory(equality)]) ).
cnf(92626,negated_conjecture,
( $false
| join(complement(join(esk1_0,complement(one))),complement(join(complement(one),composition(esk1_0,top)))) != complement(join(esk1_0,complement(one))) ),
inference(rw,[status(thm)],[92625,92332,theory(equality)]) ).
cnf(92627,negated_conjecture,
( $false
| $false ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[92626,92332,theory(equality)]),1608,theory(equality)]) ).
cnf(92628,negated_conjecture,
$false,
inference(cn,[status(thm)],[92627,theory(equality)]) ).
cnf(92629,negated_conjecture,
$false,
92628,
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% % SZS status Started for /home/graph/tptp/TPTP/Problems/REL/REL027+4.p
% --creating new selector for [REL001+0.ax, REL001+1.ax]
% -running prover on /tmp/tmpGs4Vq4/sel_REL027+4.p_1 with time limit 29
% -prover status Theorem
% Problem REL027+4.p solved in phase 0.
% % SZS status Theorem for /home/graph/tptp/TPTP/Problems/REL/REL027+4.p
% % SZS status Ended for /home/graph/tptp/TPTP/Problems/REL/REL027+4.p
% Solved 1 out of 1.
% # Problem is unsatisfiable (or provable), constructing proof object
% # SZS status Theorem
% # SZS output start CNFRefutation.
% See solution above
% # SZS output end CNFRefutation
%
%------------------------------------------------------------------------------