TSTP Solution File: REL026+2 by SInE---0.4
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SInE---0.4
% Problem : REL026+2 : TPTP v5.0.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : Source/sine.py -e eprover -t %d %s
% Computer : art02.cs.miami.edu
% Model : i686 i686
% CPU : Intel(R) Pentium(R) 4 CPU 2.80GHz @ 2793MHz
% Memory : 2018MB
% OS : Linux 2.6.26.8-57.fc8
% CPULimit : 300s
% DateTime : Sun Dec 26 01:16:33 EST 2010
% Result : Theorem 214.21s
% Output : CNFRefutation 214.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 32
% Number of leaves : 12
% Syntax : Number of formulae : 122 ( 109 unt; 0 def)
% Number of atoms : 140 ( 135 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 38 ( 20 ~; 11 |; 5 &)
% ( 0 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 2 avg)
% Maximal term depth : 10 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 4 con; 0-2 aty)
% Number of variables : 194 ( 13 sgn 46 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(1,axiom,
! [X1,X2] : converse(composition(X1,X2)) = composition(converse(X2),converse(X1)),
file('/tmp/tmpQPSyER/sel_REL026+2.p_4',converse_multiplicativity) ).
fof(2,axiom,
! [X1,X2] : meet(X1,X2) = complement(join(complement(X1),complement(X2))),
file('/tmp/tmpQPSyER/sel_REL026+2.p_4',maddux4_definiton_of_meet) ).
fof(3,axiom,
! [X1] : converse(converse(X1)) = X1,
file('/tmp/tmpQPSyER/sel_REL026+2.p_4',converse_idempotence) ).
fof(4,axiom,
! [X1,X2,X3] : composition(join(X1,X2),X3) = join(composition(X1,X3),composition(X2,X3)),
file('/tmp/tmpQPSyER/sel_REL026+2.p_4',composition_distributivity) ).
fof(5,axiom,
! [X1,X2] : converse(join(X1,X2)) = join(converse(X1),converse(X2)),
file('/tmp/tmpQPSyER/sel_REL026+2.p_4',converse_additivity) ).
fof(6,axiom,
! [X1,X2] : join(X1,X2) = join(X2,X1),
file('/tmp/tmpQPSyER/sel_REL026+2.p_4',maddux1_join_commutativity) ).
fof(8,axiom,
! [X1] : top = join(X1,complement(X1)),
file('/tmp/tmpQPSyER/sel_REL026+2.p_4',def_top) ).
fof(9,axiom,
! [X1] : composition(X1,one) = X1,
file('/tmp/tmpQPSyER/sel_REL026+2.p_4',composition_identity) ).
fof(10,axiom,
! [X1,X2] : join(composition(converse(X1),complement(composition(X1,X2))),complement(X2)) = complement(X2),
file('/tmp/tmpQPSyER/sel_REL026+2.p_4',converse_cancellativity) ).
fof(11,axiom,
! [X1,X2,X3] : join(X1,join(X2,X3)) = join(join(X1,X2),X3),
file('/tmp/tmpQPSyER/sel_REL026+2.p_4',maddux2_join_associativity) ).
fof(12,axiom,
! [X1,X2] : X1 = join(complement(join(complement(X1),complement(X2))),complement(join(complement(X1),X2))),
file('/tmp/tmpQPSyER/sel_REL026+2.p_4',maddux3_a_kind_of_de_Morgan) ).
fof(13,conjecture,
! [X1,X2] :
( join(X1,one) = one
=> ( join(meet(composition(X1,top),X2),composition(X1,X2)) = composition(X1,X2)
& join(composition(X1,X2),meet(composition(X1,top),X2)) = meet(composition(X1,top),X2) ) ),
file('/tmp/tmpQPSyER/sel_REL026+2.p_4',goals) ).
fof(14,negated_conjecture,
~ ! [X1,X2] :
( join(X1,one) = one
=> ( join(meet(composition(X1,top),X2),composition(X1,X2)) = composition(X1,X2)
& join(composition(X1,X2),meet(composition(X1,top),X2)) = meet(composition(X1,top),X2) ) ),
inference(assume_negation,[status(cth)],[13]) ).
fof(15,plain,
! [X3,X4] : converse(composition(X3,X4)) = composition(converse(X4),converse(X3)),
inference(variable_rename,[status(thm)],[1]) ).
cnf(16,plain,
converse(composition(X1,X2)) = composition(converse(X2),converse(X1)),
inference(split_conjunct,[status(thm)],[15]) ).
fof(17,plain,
! [X3,X4] : meet(X3,X4) = complement(join(complement(X3),complement(X4))),
inference(variable_rename,[status(thm)],[2]) ).
cnf(18,plain,
meet(X1,X2) = complement(join(complement(X1),complement(X2))),
inference(split_conjunct,[status(thm)],[17]) ).
fof(19,plain,
! [X2] : converse(converse(X2)) = X2,
inference(variable_rename,[status(thm)],[3]) ).
cnf(20,plain,
converse(converse(X1)) = X1,
inference(split_conjunct,[status(thm)],[19]) ).
fof(21,plain,
! [X4,X5,X6] : composition(join(X4,X5),X6) = join(composition(X4,X6),composition(X5,X6)),
inference(variable_rename,[status(thm)],[4]) ).
cnf(22,plain,
composition(join(X1,X2),X3) = join(composition(X1,X3),composition(X2,X3)),
inference(split_conjunct,[status(thm)],[21]) ).
fof(23,plain,
! [X3,X4] : converse(join(X3,X4)) = join(converse(X3),converse(X4)),
inference(variable_rename,[status(thm)],[5]) ).
cnf(24,plain,
converse(join(X1,X2)) = join(converse(X1),converse(X2)),
inference(split_conjunct,[status(thm)],[23]) ).
fof(25,plain,
! [X3,X4] : join(X3,X4) = join(X4,X3),
inference(variable_rename,[status(thm)],[6]) ).
cnf(26,plain,
join(X1,X2) = join(X2,X1),
inference(split_conjunct,[status(thm)],[25]) ).
fof(29,plain,
! [X2] : top = join(X2,complement(X2)),
inference(variable_rename,[status(thm)],[8]) ).
cnf(30,plain,
top = join(X1,complement(X1)),
inference(split_conjunct,[status(thm)],[29]) ).
fof(31,plain,
! [X2] : composition(X2,one) = X2,
inference(variable_rename,[status(thm)],[9]) ).
cnf(32,plain,
composition(X1,one) = X1,
inference(split_conjunct,[status(thm)],[31]) ).
fof(33,plain,
! [X3,X4] : join(composition(converse(X3),complement(composition(X3,X4))),complement(X4)) = complement(X4),
inference(variable_rename,[status(thm)],[10]) ).
cnf(34,plain,
join(composition(converse(X1),complement(composition(X1,X2))),complement(X2)) = complement(X2),
inference(split_conjunct,[status(thm)],[33]) ).
fof(35,plain,
! [X4,X5,X6] : join(X4,join(X5,X6)) = join(join(X4,X5),X6),
inference(variable_rename,[status(thm)],[11]) ).
cnf(36,plain,
join(X1,join(X2,X3)) = join(join(X1,X2),X3),
inference(split_conjunct,[status(thm)],[35]) ).
fof(37,plain,
! [X3,X4] : X3 = join(complement(join(complement(X3),complement(X4))),complement(join(complement(X3),X4))),
inference(variable_rename,[status(thm)],[12]) ).
cnf(38,plain,
X1 = join(complement(join(complement(X1),complement(X2))),complement(join(complement(X1),X2))),
inference(split_conjunct,[status(thm)],[37]) ).
fof(39,negated_conjecture,
? [X1,X2] :
( join(X1,one) = one
& ( join(meet(composition(X1,top),X2),composition(X1,X2)) != composition(X1,X2)
| join(composition(X1,X2),meet(composition(X1,top),X2)) != meet(composition(X1,top),X2) ) ),
inference(fof_nnf,[status(thm)],[14]) ).
fof(40,negated_conjecture,
? [X3,X4] :
( join(X3,one) = one
& ( join(meet(composition(X3,top),X4),composition(X3,X4)) != composition(X3,X4)
| join(composition(X3,X4),meet(composition(X3,top),X4)) != meet(composition(X3,top),X4) ) ),
inference(variable_rename,[status(thm)],[39]) ).
fof(41,negated_conjecture,
( join(esk1_0,one) = one
& ( join(meet(composition(esk1_0,top),esk2_0),composition(esk1_0,esk2_0)) != composition(esk1_0,esk2_0)
| join(composition(esk1_0,esk2_0),meet(composition(esk1_0,top),esk2_0)) != meet(composition(esk1_0,top),esk2_0) ) ),
inference(skolemize,[status(esa)],[40]) ).
cnf(42,negated_conjecture,
( join(composition(esk1_0,esk2_0),meet(composition(esk1_0,top),esk2_0)) != meet(composition(esk1_0,top),esk2_0)
| join(meet(composition(esk1_0,top),esk2_0),composition(esk1_0,esk2_0)) != composition(esk1_0,esk2_0) ),
inference(split_conjunct,[status(thm)],[41]) ).
cnf(43,negated_conjecture,
join(esk1_0,one) = one,
inference(split_conjunct,[status(thm)],[41]) ).
cnf(44,negated_conjecture,
( join(complement(join(complement(composition(esk1_0,top)),complement(esk2_0))),composition(esk1_0,esk2_0)) != composition(esk1_0,esk2_0)
| join(composition(esk1_0,esk2_0),complement(join(complement(composition(esk1_0,top)),complement(esk2_0)))) != complement(join(complement(composition(esk1_0,top)),complement(esk2_0))) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[42,18,theory(equality)]),18,theory(equality)]),18,theory(equality)]),
[unfolding] ).
cnf(52,plain,
join(X1,join(X2,complement(join(X1,X2)))) = top,
inference(spm,[status(thm)],[30,36,theory(equality)]) ).
cnf(53,plain,
join(top,X2) = join(X1,join(complement(X1),X2)),
inference(spm,[status(thm)],[36,30,theory(equality)]) ).
cnf(55,plain,
join(X1,join(X2,X3)) = join(X3,join(X1,X2)),
inference(spm,[status(thm)],[26,36,theory(equality)]) ).
cnf(64,plain,
composition(converse(X1),X2) = converse(composition(converse(X2),X1)),
inference(spm,[status(thm)],[16,20,theory(equality)]) ).
cnf(66,plain,
join(X1,converse(X2)) = converse(join(converse(X1),X2)),
inference(spm,[status(thm)],[24,20,theory(equality)]) ).
cnf(68,plain,
join(converse(join(X1,X2)),X3) = join(converse(X1),join(converse(X2),X3)),
inference(spm,[status(thm)],[36,24,theory(equality)]) ).
cnf(79,plain,
join(composition(X1,converse(X2)),converse(composition(X2,X3))) = composition(join(X1,converse(X3)),converse(X2)),
inference(spm,[status(thm)],[22,16,theory(equality)]) ).
cnf(88,plain,
join(complement(X2),composition(converse(X1),complement(composition(X1,X2)))) = complement(X2),
inference(rw,[status(thm)],[34,26,theory(equality)]) ).
cnf(95,plain,
join(complement(join(complement(X1),X2)),complement(join(complement(X1),complement(X2)))) = X1,
inference(rw,[status(thm)],[38,26,theory(equality)]) ).
cnf(100,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)],[95,95,theory(equality)]) ).
cnf(103,plain,
join(complement(join(complement(X1),X2)),complement(join(complement(X2),complement(X1)))) = X1,
inference(spm,[status(thm)],[95,26,theory(equality)]) ).
cnf(108,negated_conjecture,
( join(composition(esk1_0,esk2_0),complement(join(complement(esk2_0),complement(composition(esk1_0,top))))) != composition(esk1_0,esk2_0)
| join(composition(esk1_0,esk2_0),complement(join(complement(composition(esk1_0,top)),complement(esk2_0)))) != complement(join(complement(composition(esk1_0,top)),complement(esk2_0))) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[44,26,theory(equality)]),26,theory(equality)]) ).
cnf(109,negated_conjecture,
( join(composition(esk1_0,esk2_0),complement(join(complement(esk2_0),complement(composition(esk1_0,top))))) != composition(esk1_0,esk2_0)
| join(composition(esk1_0,esk2_0),complement(join(complement(esk2_0),complement(composition(esk1_0,top))))) != complement(join(complement(composition(esk1_0,top)),complement(esk2_0))) ),
inference(rw,[status(thm)],[108,26,theory(equality)]) ).
cnf(110,negated_conjecture,
( join(composition(esk1_0,esk2_0),complement(join(complement(esk2_0),complement(composition(esk1_0,top))))) != composition(esk1_0,esk2_0)
| join(composition(esk1_0,esk2_0),complement(join(complement(esk2_0),complement(composition(esk1_0,top))))) != complement(join(complement(esk2_0),complement(composition(esk1_0,top)))) ),
inference(rw,[status(thm)],[109,26,theory(equality)]) ).
cnf(143,plain,
join(top,X3) = join(X1,join(join(X2,complement(join(X1,X2))),X3)),
inference(spm,[status(thm)],[36,52,theory(equality)]) ).
cnf(161,plain,
join(top,X3) = join(X1,join(X2,join(complement(join(X1,X2)),X3))),
inference(rw,[status(thm)],[143,36,theory(equality)]) ).
cnf(230,plain,
join(X1,top) = join(top,complement(complement(X1))),
inference(spm,[status(thm)],[53,30,theory(equality)]) ).
cnf(333,plain,
join(complement(join(X2,join(X3,complement(X1)))),complement(join(complement(X1),complement(join(X2,X3))))) = X1,
inference(spm,[status(thm)],[95,55,theory(equality)]) ).
cnf(712,plain,
converse(converse(X1)) = composition(converse(one),X1),
inference(spm,[status(thm)],[64,32,theory(equality)]) ).
cnf(718,plain,
join(composition(converse(X2),X1),converse(X3)) = converse(join(composition(converse(X1),X2),X3)),
inference(spm,[status(thm)],[24,64,theory(equality)]) ).
cnf(726,plain,
X1 = composition(converse(one),X1),
inference(rw,[status(thm)],[712,20,theory(equality)]) ).
cnf(740,plain,
one = converse(one),
inference(spm,[status(thm)],[32,726,theory(equality)]) ).
cnf(762,plain,
join(converse(X1),one) = converse(join(X1,one)),
inference(spm,[status(thm)],[24,740,theory(equality)]) ).
cnf(766,plain,
composition(one,X1) = X1,
inference(rw,[status(thm)],[726,740,theory(equality)]) ).
cnf(770,plain,
join(one,converse(X1)) = converse(join(X1,one)),
inference(rw,[status(thm)],[762,26,theory(equality)]) ).
cnf(774,plain,
join(X1,composition(X2,X1)) = composition(join(one,X2),X1),
inference(spm,[status(thm)],[22,766,theory(equality)]) ).
cnf(776,plain,
join(complement(X1),composition(converse(one),complement(X1))) = complement(X1),
inference(spm,[status(thm)],[88,766,theory(equality)]) ).
cnf(781,plain,
join(complement(X1),complement(X1)) = complement(X1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[776,740,theory(equality)]),766,theory(equality)]) ).
cnf(785,plain,
join(complement(complement(X1)),complement(join(complement(X1),complement(complement(X1))))) = X1,
inference(spm,[status(thm)],[95,781,theory(equality)]) ).
cnf(787,plain,
join(complement(X1),join(complement(X1),complement(complement(X1)))) = top,
inference(spm,[status(thm)],[52,781,theory(equality)]) ).
cnf(799,plain,
join(complement(top),complement(complement(X1))) = X1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[785,30,theory(equality)]),26,theory(equality)]) ).
cnf(801,plain,
join(top,complement(X1)) = top,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[787,30,theory(equality)]),26,theory(equality)]) ).
cnf(822,plain,
top = join(X1,top),
inference(rw,[status(thm)],[230,801,theory(equality)]) ).
cnf(846,plain,
join(complement(top),complement(join(complement(X1),complement(top)))) = X1,
inference(spm,[status(thm)],[95,822,theory(equality)]) ).
cnf(853,plain,
top = join(top,X1),
inference(spm,[status(thm)],[26,822,theory(equality)]) ).
cnf(1075,plain,
join(complement(top),complement(join(complement(top),complement(X1)))) = X1,
inference(spm,[status(thm)],[846,26,theory(equality)]) ).
cnf(1094,plain,
join(complement(top),complement(X1)) = complement(X1),
inference(spm,[status(thm)],[1075,799,theory(equality)]) ).
cnf(1123,plain,
complement(complement(X1)) = X1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[1075,1094,theory(equality)]),1094,theory(equality)]) ).
cnf(1133,plain,
join(X1,X1) = X1,
inference(spm,[status(thm)],[781,1123,theory(equality)]) ).
cnf(1134,plain,
join(complement(top),X1) = X1,
inference(spm,[status(thm)],[1094,1123,theory(equality)]) ).
cnf(1139,plain,
join(X1,X2) = join(X1,join(X1,X2)),
inference(spm,[status(thm)],[36,1133,theory(equality)]) ).
cnf(1143,plain,
join(complement(complement(X1)),complement(join(complement(X1),complement(complement(X1))))) = X1,
inference(spm,[status(thm)],[95,1133,theory(equality)]) ).
cnf(1151,plain,
join(X1,X2) = join(X2,join(X1,X2)),
inference(spm,[status(thm)],[55,1133,theory(equality)]) ).
cnf(1162,plain,
join(X1,complement(top)) = X1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[1143,1123,theory(equality)]),30,theory(equality)]) ).
cnf(1430,plain,
join(complement(join(complement(X1),X2)),X1) = X1,
inference(spm,[status(thm)],[1139,95,theory(equality)]) ).
cnf(1472,plain,
join(X1,complement(join(complement(X1),X2))) = X1,
inference(rw,[status(thm)],[1430,26,theory(equality)]) ).
cnf(1696,negated_conjecture,
converse(one) = join(one,converse(esk1_0)),
inference(spm,[status(thm)],[770,43,theory(equality)]) ).
cnf(1718,negated_conjecture,
one = join(one,converse(esk1_0)),
inference(rw,[status(thm)],[1696,740,theory(equality)]) ).
cnf(1840,plain,
join(X1,complement(join(X2,complement(X1)))) = X1,
inference(spm,[status(thm)],[1472,1151,theory(equality)]) ).
cnf(2036,plain,
join(complement(X1),complement(join(X2,X1))) = complement(X1),
inference(spm,[status(thm)],[1840,1123,theory(equality)]) ).
cnf(5000,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)],[100,1123,theory(equality)]),26,theory(equality)]),36,theory(equality)]),2036,theory(equality)]) ).
cnf(5008,plain,
join(X1,complement(join(X1,complement(X2)))) = join(X1,X2),
inference(spm,[status(thm)],[5000,1123,theory(equality)]) ).
cnf(5593,plain,
join(complement(join(X1,X2)),complement(join(complement(X2),X1))) = complement(X1),
inference(spm,[status(thm)],[103,1123,theory(equality)]) ).
cnf(7312,plain,
join(X1,join(X2,join(complement(join(X1,X2)),X3))) = top,
inference(rw,[status(thm)],[161,853,theory(equality)]) ).
cnf(7348,plain,
join(converse(X1),top) = join(converse(join(X1,X2)),join(X3,join(complement(join(converse(X2),X3)),X4))),
inference(spm,[status(thm)],[68,7312,theory(equality)]) ).
cnf(7537,plain,
top = join(converse(join(X1,X2)),join(X3,join(complement(join(converse(X2),X3)),X4))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[7348,26,theory(equality)]),853,theory(equality)]) ).
cnf(13161,plain,
join(X1,complement(join(X1,X2))) = join(X1,complement(X2)),
inference(spm,[status(thm)],[5008,1123,theory(equality)]) ).
cnf(39756,negated_conjecture,
join(X1,composition(converse(esk1_0),X1)) = composition(one,X1),
inference(spm,[status(thm)],[774,1718,theory(equality)]) ).
cnf(40022,negated_conjecture,
join(X1,composition(converse(esk1_0),X1)) = X1,
inference(rw,[status(thm)],[39756,766,theory(equality)]) ).
cnf(40963,negated_conjecture,
converse(converse(X1)) = join(X1,converse(composition(converse(esk1_0),converse(X1)))),
inference(spm,[status(thm)],[66,40022,theory(equality)]) ).
cnf(41058,negated_conjecture,
X1 = join(X1,converse(composition(converse(esk1_0),converse(X1)))),
inference(rw,[status(thm)],[40963,20,theory(equality)]) ).
cnf(41059,negated_conjecture,
X1 = join(X1,composition(X1,esk1_0)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[41058,16,theory(equality)]),20,theory(equality)]) ).
cnf(41244,negated_conjecture,
join(X1,composition(composition(one,esk1_0),X1)) = composition(one,X1),
inference(spm,[status(thm)],[774,41059,theory(equality)]) ).
cnf(41332,negated_conjecture,
join(X1,composition(esk1_0,X1)) = composition(one,X1),
inference(rw,[status(thm)],[41244,766,theory(equality)]) ).
cnf(41333,negated_conjecture,
join(X1,composition(esk1_0,X1)) = X1,
inference(rw,[status(thm)],[41332,766,theory(equality)]) ).
cnf(41337,negated_conjecture,
join(X1,X2) = join(X1,join(composition(esk1_0,X1),X2)),
inference(spm,[status(thm)],[36,41333,theory(equality)]) ).
cnf(47422,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)],[718,79,theory(equality)]) ).
cnf(47556,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)],[47422,24,theory(equality)]),16,theory(equality)]),20,theory(equality)]) ).
cnf(47557,plain,
composition(X2,join(X1,X3)) = join(composition(X2,X1),composition(X2,X3)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[47556,20,theory(equality)]),20,theory(equality)]) ).
cnf(396252,negated_conjecture,
join(X1,composition(esk1_0,join(X1,X2))) = join(X1,composition(esk1_0,X2)),
inference(spm,[status(thm)],[41337,47557,theory(equality)]) ).
cnf(478885,plain,
join(complement(join(converse(join(X1,X2)),join(join(X3,join(complement(join(converse(X2),X3)),X4)),complement(X5)))),complement(join(complement(X5),complement(top)))) = X5,
inference(spm,[status(thm)],[333,7537,theory(equality)]) ).
cnf(480238,plain,
complement(complement(X5)) = X5,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[478885,36,theory(equality)]),36,theory(equality)]),7537,theory(equality)]),1162,theory(equality)]),1134,theory(equality)]) ).
cnf(834432,negated_conjecture,
join(X1,composition(esk1_0,top)) = join(X1,composition(esk1_0,complement(X1))),
inference(spm,[status(thm)],[396252,30,theory(equality)]) ).
cnf(836874,negated_conjecture,
join(complement(join(composition(esk1_0,complement(complement(X1))),X1)),complement(join(complement(X1),composition(esk1_0,top)))) = complement(composition(esk1_0,complement(complement(X1)))),
inference(spm,[status(thm)],[5593,834432,theory(equality)]) ).
cnf(837424,negated_conjecture,
join(complement(X1),complement(composition(esk1_0,top))) = complement(composition(esk1_0,complement(complement(X1)))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[836874,1123,theory(equality)]),26,theory(equality)]),41333,theory(equality)]),13161,theory(equality)]) ).
cnf(837425,negated_conjecture,
join(complement(X1),complement(composition(esk1_0,top))) = complement(composition(esk1_0,X1)),
inference(rw,[status(thm)],[837424,1123,theory(equality)]) ).
cnf(838919,negated_conjecture,
( composition(esk1_0,esk2_0) != complement(join(complement(esk2_0),complement(composition(esk1_0,top))))
| join(composition(esk1_0,esk2_0),complement(join(complement(esk2_0),complement(composition(esk1_0,top))))) != composition(esk1_0,esk2_0) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[110,837425,theory(equality)]),480238,theory(equality)]),47557,theory(equality)]),1133,theory(equality)]) ).
cnf(838920,negated_conjecture,
( $false
| join(composition(esk1_0,esk2_0),complement(join(complement(esk2_0),complement(composition(esk1_0,top))))) != composition(esk1_0,esk2_0) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[838919,837425,theory(equality)]),480238,theory(equality)]) ).
cnf(838921,negated_conjecture,
( $false
| $false ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[838920,837425,theory(equality)]),480238,theory(equality)]),47557,theory(equality)]),1133,theory(equality)]) ).
cnf(838922,negated_conjecture,
$false,
inference(cn,[status(thm)],[838921,theory(equality)]) ).
cnf(838923,negated_conjecture,
$false,
838922,
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% % SZS status Started for /home/graph/tptp/TPTP/Problems/REL/REL026+2.p
% --creating new selector for [REL001+0.ax]
% eprover: CPU time limit exceeded, terminating
% eprover: CPU time limit exceeded, terminating
% -running prover on /tmp/tmpQPSyER/sel_REL026+2.p_1 with time limit 29
% -prover status ResourceOut
% -running prover on /tmp/tmpQPSyER/sel_REL026+2.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/tmpQPSyER/sel_REL026+2.p_3 with time limit 74
% -prover status ResourceOut
% --creating new selector for [REL001+0.ax]
% -running prover on /tmp/tmpQPSyER/sel_REL026+2.p_4 with time limit 55
% -prover status Theorem
% Problem REL026+2.p solved in phase 3.
% % SZS status Theorem for /home/graph/tptp/TPTP/Problems/REL/REL026+2.p
% % SZS status Ended for /home/graph/tptp/TPTP/Problems/REL/REL026+2.p
% Solved 1 out of 1.
% # Problem is unsatisfiable (or provable), constructing proof object
% # SZS status Theorem
% # SZS output start CNFRefutation.
% See solution above
% # SZS output end CNFRefutation
%
%------------------------------------------------------------------------------