TSTP Solution File: REL042+2 by SInE---0.4
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SInE---0.4
% Problem : REL042+2 : TPTP v5.0.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : Source/sine.py -e eprover -t %d %s
% Computer : art05.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 01:37:41 EST 2010
% Result : Theorem 1.04s
% Output : CNFRefutation 1.04s
% Verified :
% SZS Type : Refutation
% Derivation depth : 38
% Number of leaves : 13
% Syntax : Number of formulae : 117 ( 111 unt; 0 def)
% Number of atoms : 123 ( 121 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 13 ( 7 ~; 0 |; 4 &)
% ( 0 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 2 avg)
% Maximal term depth : 11 ( 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 : 152 ( 11 sgn 56 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(2,axiom,
! [X1,X2,X3] : join(meet(composition(X1,X2),X3),meet(composition(X1,meet(X2,composition(converse(X1),X3))),X3)) = meet(composition(X1,meet(X2,composition(converse(X1),X3))),X3),
file('/tmp/tmpLMLWwi/sel_REL042+2.p_1',modular_law_1) ).
fof(3,axiom,
! [X1,X2] : converse(composition(X1,X2)) = composition(converse(X2),converse(X1)),
file('/tmp/tmpLMLWwi/sel_REL042+2.p_1',converse_multiplicativity) ).
fof(4,axiom,
! [X1] : converse(converse(X1)) = X1,
file('/tmp/tmpLMLWwi/sel_REL042+2.p_1',converse_idempotence) ).
fof(5,axiom,
! [X1,X2,X3] : composition(join(X1,X2),X3) = join(composition(X1,X3),composition(X2,X3)),
file('/tmp/tmpLMLWwi/sel_REL042+2.p_1',composition_distributivity) ).
fof(6,axiom,
! [X1] : composition(X1,one) = X1,
file('/tmp/tmpLMLWwi/sel_REL042+2.p_1',composition_identity) ).
fof(7,axiom,
! [X1,X2] : converse(join(X1,X2)) = join(converse(X1),converse(X2)),
file('/tmp/tmpLMLWwi/sel_REL042+2.p_1',converse_additivity) ).
fof(8,axiom,
! [X1,X2] : join(X1,X2) = join(X2,X1),
file('/tmp/tmpLMLWwi/sel_REL042+2.p_1',maddux1_join_commutativity) ).
fof(11,axiom,
! [X1] : zero = meet(X1,complement(X1)),
file('/tmp/tmpLMLWwi/sel_REL042+2.p_1',def_zero) ).
fof(12,axiom,
! [X1,X2] : join(composition(converse(X1),complement(composition(X1,X2))),complement(X2)) = complement(X2),
file('/tmp/tmpLMLWwi/sel_REL042+2.p_1',converse_cancellativity) ).
fof(13,axiom,
! [X1,X2] : meet(X1,X2) = complement(join(complement(X1),complement(X2))),
file('/tmp/tmpLMLWwi/sel_REL042+2.p_1',maddux4_definiton_of_meet) ).
fof(14,axiom,
! [X1,X2,X3] : join(X1,join(X2,X3)) = join(join(X1,X2),X3),
file('/tmp/tmpLMLWwi/sel_REL042+2.p_1',maddux2_join_associativity) ).
fof(15,axiom,
! [X1,X2] : X1 = join(complement(join(complement(X1),complement(X2))),complement(join(complement(X1),X2))),
file('/tmp/tmpLMLWwi/sel_REL042+2.p_1',maddux3_a_kind_of_de_Morgan) ).
fof(16,conjecture,
! [X1] :
( ! [X2] : meet(composition(X1,X2),composition(X1,complement(X2))) = zero
=> join(composition(converse(X1),X1),one) = one ),
file('/tmp/tmpLMLWwi/sel_REL042+2.p_1',goals) ).
fof(17,negated_conjecture,
~ ! [X1] :
( ! [X2] : meet(composition(X1,X2),composition(X1,complement(X2))) = zero
=> join(composition(converse(X1),X1),one) = one ),
inference(assume_negation,[status(cth)],[16]) ).
fof(20,plain,
! [X4,X5,X6] : join(meet(composition(X4,X5),X6),meet(composition(X4,meet(X5,composition(converse(X4),X6))),X6)) = meet(composition(X4,meet(X5,composition(converse(X4),X6))),X6),
inference(variable_rename,[status(thm)],[2]) ).
cnf(21,plain,
join(meet(composition(X1,X2),X3),meet(composition(X1,meet(X2,composition(converse(X1),X3))),X3)) = meet(composition(X1,meet(X2,composition(converse(X1),X3))),X3),
inference(split_conjunct,[status(thm)],[20]) ).
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,
! [X4,X5,X6] : composition(join(X4,X5),X6) = join(composition(X4,X6),composition(X5,X6)),
inference(variable_rename,[status(thm)],[5]) ).
cnf(27,plain,
composition(join(X1,X2),X3) = join(composition(X1,X3),composition(X2,X3)),
inference(split_conjunct,[status(thm)],[26]) ).
fof(28,plain,
! [X2] : composition(X2,one) = X2,
inference(variable_rename,[status(thm)],[6]) ).
cnf(29,plain,
composition(X1,one) = X1,
inference(split_conjunct,[status(thm)],[28]) ).
fof(30,plain,
! [X3,X4] : converse(join(X3,X4)) = join(converse(X3),converse(X4)),
inference(variable_rename,[status(thm)],[7]) ).
cnf(31,plain,
converse(join(X1,X2)) = join(converse(X1),converse(X2)),
inference(split_conjunct,[status(thm)],[30]) ).
fof(32,plain,
! [X3,X4] : join(X3,X4) = join(X4,X3),
inference(variable_rename,[status(thm)],[8]) ).
cnf(33,plain,
join(X1,X2) = join(X2,X1),
inference(split_conjunct,[status(thm)],[32]) ).
fof(38,plain,
! [X2] : zero = meet(X2,complement(X2)),
inference(variable_rename,[status(thm)],[11]) ).
cnf(39,plain,
zero = meet(X1,complement(X1)),
inference(split_conjunct,[status(thm)],[38]) ).
fof(40,plain,
! [X3,X4] : join(composition(converse(X3),complement(composition(X3,X4))),complement(X4)) = complement(X4),
inference(variable_rename,[status(thm)],[12]) ).
cnf(41,plain,
join(composition(converse(X1),complement(composition(X1,X2))),complement(X2)) = complement(X2),
inference(split_conjunct,[status(thm)],[40]) ).
fof(42,plain,
! [X3,X4] : meet(X3,X4) = complement(join(complement(X3),complement(X4))),
inference(variable_rename,[status(thm)],[13]) ).
cnf(43,plain,
meet(X1,X2) = complement(join(complement(X1),complement(X2))),
inference(split_conjunct,[status(thm)],[42]) ).
fof(44,plain,
! [X4,X5,X6] : join(X4,join(X5,X6)) = join(join(X4,X5),X6),
inference(variable_rename,[status(thm)],[14]) ).
cnf(45,plain,
join(X1,join(X2,X3)) = join(join(X1,X2),X3),
inference(split_conjunct,[status(thm)],[44]) ).
fof(46,plain,
! [X3,X4] : X3 = join(complement(join(complement(X3),complement(X4))),complement(join(complement(X3),X4))),
inference(variable_rename,[status(thm)],[15]) ).
cnf(47,plain,
X1 = join(complement(join(complement(X1),complement(X2))),complement(join(complement(X1),X2))),
inference(split_conjunct,[status(thm)],[46]) ).
fof(48,negated_conjecture,
? [X1] :
( ! [X2] : meet(composition(X1,X2),composition(X1,complement(X2))) = zero
& join(composition(converse(X1),X1),one) != one ),
inference(fof_nnf,[status(thm)],[17]) ).
fof(49,negated_conjecture,
? [X3] :
( ! [X4] : meet(composition(X3,X4),composition(X3,complement(X4))) = zero
& join(composition(converse(X3),X3),one) != one ),
inference(variable_rename,[status(thm)],[48]) ).
fof(50,negated_conjecture,
( ! [X4] : meet(composition(esk1_0,X4),composition(esk1_0,complement(X4))) = zero
& join(composition(converse(esk1_0),esk1_0),one) != one ),
inference(skolemize,[status(esa)],[49]) ).
fof(51,negated_conjecture,
! [X4] :
( meet(composition(esk1_0,X4),composition(esk1_0,complement(X4))) = zero
& join(composition(converse(esk1_0),esk1_0),one) != one ),
inference(shift_quantors,[status(thm)],[50]) ).
cnf(52,negated_conjecture,
join(composition(converse(esk1_0),esk1_0),one) != one,
inference(split_conjunct,[status(thm)],[51]) ).
cnf(53,negated_conjecture,
meet(composition(esk1_0,X1),composition(esk1_0,complement(X1))) = zero,
inference(split_conjunct,[status(thm)],[51]) ).
cnf(54,plain,
complement(join(complement(X1),complement(complement(X1)))) = zero,
inference(rw,[status(thm)],[39,43,theory(equality)]),
[unfolding] ).
cnf(55,negated_conjecture,
complement(join(complement(composition(esk1_0,X1)),complement(composition(esk1_0,complement(X1))))) = zero,
inference(rw,[status(thm)],[53,43,theory(equality)]),
[unfolding] ).
cnf(56,plain,
join(complement(join(complement(composition(X1,X2)),complement(X3))),complement(join(complement(composition(X1,complement(join(complement(X2),complement(composition(converse(X1),X3)))))),complement(X3)))) = complement(join(complement(composition(X1,complement(join(complement(X2),complement(composition(converse(X1),X3)))))),complement(X3))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[21,43,theory(equality)]),43,theory(equality)]),43,theory(equality)]),43,theory(equality)]),43,theory(equality)]),
[unfolding] ).
cnf(59,negated_conjecture,
join(one,composition(converse(esk1_0),esk1_0)) != one,
inference(rw,[status(thm)],[52,33,theory(equality)]) ).
cnf(62,plain,
composition(converse(X1),X2) = converse(composition(converse(X2),X1)),
inference(spm,[status(thm)],[23,25,theory(equality)]) ).
cnf(63,plain,
join(X1,converse(X2)) = converse(join(converse(X1),X2)),
inference(spm,[status(thm)],[31,25,theory(equality)]) ).
cnf(64,plain,
join(converse(X1),X2) = converse(join(X1,converse(X2))),
inference(spm,[status(thm)],[31,25,theory(equality)]) ).
cnf(88,plain,
join(converse(composition(X2,X1)),composition(X3,converse(X2))) = composition(join(converse(X1),X3),converse(X2)),
inference(spm,[status(thm)],[27,23,theory(equality)]) ).
cnf(101,plain,
join(complement(X2),composition(converse(X1),complement(composition(X1,X2)))) = complement(X2),
inference(rw,[status(thm)],[41,33,theory(equality)]) ).
cnf(109,negated_conjecture,
complement(join(complement(esk1_0),complement(composition(esk1_0,complement(one))))) = zero,
inference(spm,[status(thm)],[55,29,theory(equality)]) ).
cnf(116,plain,
join(complement(join(complement(X1),X2)),complement(join(complement(X1),complement(X2)))) = X1,
inference(rw,[status(thm)],[47,33,theory(equality)]) ).
cnf(129,plain,
join(complement(join(X2,complement(X1))),complement(join(complement(X1),complement(X2)))) = X1,
inference(spm,[status(thm)],[116,33,theory(equality)]) ).
cnf(138,plain,
join(complement(join(complement(composition(X1,X2)),complement(X3))),complement(join(complement(X3),complement(composition(X1,complement(join(complement(X2),complement(composition(converse(X1),X3))))))))) = complement(join(complement(composition(X1,complement(join(complement(X2),complement(composition(converse(X1),X3)))))),complement(X3))),
inference(rw,[status(thm)],[56,33,theory(equality)]) ).
cnf(139,plain,
join(complement(join(complement(composition(X1,X2)),complement(X3))),complement(join(complement(X3),complement(composition(X1,complement(join(complement(X2),complement(composition(converse(X1),X3))))))))) = complement(join(complement(X3),complement(composition(X1,complement(join(complement(X2),complement(composition(converse(X1),X3)))))))),
inference(rw,[status(thm)],[138,33,theory(equality)]) ).
cnf(140,plain,
join(complement(join(complement(composition(converse(X1),X2)),complement(X3))),complement(join(complement(X3),complement(composition(converse(X1),complement(join(complement(X2),complement(composition(X1,X3))))))))) = complement(join(complement(X3),complement(composition(converse(X1),complement(join(complement(X2),complement(composition(X1,X3)))))))),
inference(spm,[status(thm)],[139,25,theory(equality)]) ).
cnf(309,plain,
converse(converse(X1)) = composition(converse(one),X1),
inference(spm,[status(thm)],[62,29,theory(equality)]) ).
cnf(327,plain,
X1 = composition(converse(one),X1),
inference(rw,[status(thm)],[309,25,theory(equality)]) ).
cnf(343,plain,
one = converse(one),
inference(spm,[status(thm)],[29,327,theory(equality)]) ).
cnf(380,plain,
join(one,converse(X1)) = converse(join(one,X1)),
inference(spm,[status(thm)],[31,343,theory(equality)]) ).
cnf(389,plain,
composition(one,X1) = X1,
inference(rw,[status(thm)],[327,343,theory(equality)]) ).
cnf(403,plain,
join(complement(X1),composition(converse(one),complement(X1))) = complement(X1),
inference(spm,[status(thm)],[101,389,theory(equality)]) ).
cnf(414,plain,
join(complement(X1),complement(X1)) = complement(X1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[403,343,theory(equality)]),389,theory(equality)]) ).
cnf(457,plain,
join(zero,zero) = zero,
inference(spm,[status(thm)],[414,54,theory(equality)]) ).
cnf(460,plain,
join(complement(complement(X1)),complement(join(complement(X1),complement(complement(X1))))) = X1,
inference(spm,[status(thm)],[116,414,theory(equality)]) ).
cnf(472,plain,
join(zero,complement(complement(X1))) = X1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[460,54,theory(equality)]),33,theory(equality)]) ).
cnf(486,plain,
join(zero,X1) = join(zero,join(zero,X1)),
inference(spm,[status(thm)],[45,457,theory(equality)]) ).
cnf(649,plain,
join(zero,X1) = X1,
inference(spm,[status(thm)],[486,472,theory(equality)]) ).
cnf(658,plain,
converse(converse(X1)) = join(converse(zero),X1),
inference(spm,[status(thm)],[64,649,theory(equality)]) ).
cnf(660,plain,
X1 = join(X1,zero),
inference(spm,[status(thm)],[33,649,theory(equality)]) ).
cnf(665,plain,
complement(complement(X1)) = X1,
inference(rw,[status(thm)],[472,649,theory(equality)]) ).
cnf(669,plain,
X1 = join(converse(zero),X1),
inference(rw,[status(thm)],[658,25,theory(equality)]) ).
cnf(683,plain,
join(X1,X1) = X1,
inference(spm,[status(thm)],[414,665,theory(equality)]) ).
cnf(684,plain,
complement(join(X1,complement(X1))) = zero,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[54,665,theory(equality)]),33,theory(equality)]) ).
cnf(720,plain,
complement(zero) = join(X1,complement(X1)),
inference(spm,[status(thm)],[665,684,theory(equality)]) ).
cnf(823,plain,
join(X1,X2) = join(X1,join(X1,X2)),
inference(spm,[status(thm)],[45,683,theory(equality)]) ).
cnf(878,plain,
complement(complement(converse(zero))) = zero,
inference(spm,[status(thm)],[684,669,theory(equality)]) ).
cnf(891,plain,
converse(zero) = zero,
inference(rw,[status(thm)],[878,665,theory(equality)]) ).
cnf(895,plain,
composition(zero,converse(X1)) = converse(composition(X1,zero)),
inference(spm,[status(thm)],[23,891,theory(equality)]) ).
cnf(1067,plain,
converse(zero) = composition(zero,converse(one)),
inference(spm,[status(thm)],[895,389,theory(equality)]) ).
cnf(1086,plain,
zero = composition(zero,converse(one)),
inference(rw,[status(thm)],[1067,891,theory(equality)]) ).
cnf(1087,plain,
zero = composition(zero,one),
inference(rw,[status(thm)],[1086,343,theory(equality)]) ).
cnf(1163,plain,
join(complement(join(complement(X1),X2)),X1) = X1,
inference(spm,[status(thm)],[823,116,theory(equality)]) ).
cnf(1175,plain,
join(X1,complement(zero)) = complement(zero),
inference(spm,[status(thm)],[823,720,theory(equality)]) ).
cnf(1194,plain,
join(X1,complement(join(complement(X1),X2))) = X1,
inference(rw,[status(thm)],[1163,33,theory(equality)]) ).
cnf(1220,plain,
converse(complement(zero)) = join(X1,converse(complement(zero))),
inference(spm,[status(thm)],[63,1175,theory(equality)]) ).
cnf(1224,plain,
complement(zero) = join(complement(zero),X1),
inference(spm,[status(thm)],[33,1175,theory(equality)]) ).
cnf(1520,plain,
converse(complement(zero)) = complement(zero),
inference(spm,[status(thm)],[1224,1220,theory(equality)]) ).
cnf(1548,plain,
composition(complement(zero),converse(X1)) = converse(composition(X1,complement(zero))),
inference(spm,[status(thm)],[23,1520,theory(equality)]) ).
cnf(1631,plain,
join(converse(zero),composition(X1,converse(zero))) = composition(join(converse(one),X1),converse(zero)),
inference(spm,[status(thm)],[88,1087,theory(equality)]) ).
cnf(1668,plain,
composition(X1,zero) = composition(join(converse(one),X1),converse(zero)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1631,891,theory(equality)]),891,theory(equality)]),649,theory(equality)]) ).
cnf(1669,plain,
composition(X1,zero) = composition(join(one,X1),zero),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[1668,343,theory(equality)]),891,theory(equality)]) ).
cnf(2972,plain,
converse(complement(zero)) = composition(complement(zero),converse(one)),
inference(spm,[status(thm)],[1548,389,theory(equality)]) ).
cnf(2998,plain,
complement(zero) = composition(complement(zero),converse(one)),
inference(rw,[status(thm)],[2972,1520,theory(equality)]) ).
cnf(2999,plain,
complement(zero) = composition(complement(zero),one),
inference(rw,[status(thm)],[2998,343,theory(equality)]) ).
cnf(3020,plain,
join(converse(complement(zero)),composition(X1,converse(complement(zero)))) = composition(join(converse(one),X1),converse(complement(zero))),
inference(spm,[status(thm)],[88,2999,theory(equality)]) ).
cnf(3040,plain,
complement(zero) = composition(join(converse(one),X1),converse(complement(zero))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[3020,1520,theory(equality)]),1520,theory(equality)]),1224,theory(equality)]) ).
cnf(3041,plain,
complement(zero) = composition(join(one,X1),complement(zero)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[3040,343,theory(equality)]),1520,theory(equality)]) ).
cnf(3057,plain,
join(complement(complement(zero)),composition(converse(join(one,X1)),complement(complement(zero)))) = complement(complement(zero)),
inference(spm,[status(thm)],[101,3041,theory(equality)]) ).
cnf(3092,plain,
composition(converse(X1),zero) = complement(complement(zero)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[3057,665,theory(equality)]),380,theory(equality)]),665,theory(equality)]),1669,theory(equality)]),649,theory(equality)]) ).
cnf(3093,plain,
composition(converse(X1),zero) = zero,
inference(rw,[status(thm)],[3092,665,theory(equality)]) ).
cnf(3120,plain,
composition(X1,zero) = zero,
inference(spm,[status(thm)],[3093,25,theory(equality)]) ).
cnf(4744,negated_conjecture,
join(complement(join(zero,X1)),complement(join(zero,complement(X1)))) = join(complement(esk1_0),complement(composition(esk1_0,complement(one)))),
inference(spm,[status(thm)],[116,109,theory(equality)]) ).
cnf(4773,negated_conjecture,
complement(zero) = join(complement(esk1_0),complement(composition(esk1_0,complement(one)))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[4744,649,theory(equality)]),649,theory(equality)]),665,theory(equality)]),33,theory(equality)]),720,theory(equality)]) ).
cnf(9702,negated_conjecture,
join(complement(join(complement(composition(converse(esk1_0),esk1_0)),complement(complement(one)))),complement(join(complement(complement(one)),complement(composition(converse(esk1_0),complement(complement(zero))))))) = complement(join(complement(complement(one)),complement(composition(converse(esk1_0),complement(complement(zero)))))),
inference(spm,[status(thm)],[140,4773,theory(equality)]) ).
cnf(9809,negated_conjecture,
complement(join(one,complement(composition(converse(esk1_0),esk1_0)))) = complement(join(complement(complement(one)),complement(composition(converse(esk1_0),complement(complement(zero)))))),
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)],[9702,665,theory(equality)]),33,theory(equality)]),665,theory(equality)]),665,theory(equality)]),3120,theory(equality)]),1175,theory(equality)]),665,theory(equality)]),660,theory(equality)]) ).
cnf(9810,negated_conjecture,
complement(join(one,complement(composition(converse(esk1_0),esk1_0)))) = zero,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[9809,665,theory(equality)]),665,theory(equality)]),3120,theory(equality)]),1175,theory(equality)]),665,theory(equality)]) ).
cnf(10371,negated_conjecture,
join(complement(join(zero,X1)),complement(join(zero,complement(X1)))) = join(one,complement(composition(converse(esk1_0),esk1_0))),
inference(spm,[status(thm)],[116,9810,theory(equality)]) ).
cnf(10420,negated_conjecture,
complement(zero) = join(one,complement(composition(converse(esk1_0),esk1_0))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[10371,649,theory(equality)]),649,theory(equality)]),665,theory(equality)]),33,theory(equality)]),720,theory(equality)]) ).
cnf(10490,negated_conjecture,
join(complement(complement(zero)),complement(join(complement(composition(converse(esk1_0),esk1_0)),complement(one)))) = composition(converse(esk1_0),esk1_0),
inference(spm,[status(thm)],[129,10420,theory(equality)]) ).
cnf(10514,negated_conjecture,
complement(join(complement(one),complement(composition(converse(esk1_0),esk1_0)))) = composition(converse(esk1_0),esk1_0),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[10490,665,theory(equality)]),33,theory(equality)]),649,theory(equality)]) ).
cnf(23653,negated_conjecture,
join(one,composition(converse(esk1_0),esk1_0)) = one,
inference(spm,[status(thm)],[1194,10514,theory(equality)]) ).
cnf(23760,negated_conjecture,
$false,
inference(sr,[status(thm)],[23653,59,theory(equality)]) ).
cnf(23761,negated_conjecture,
$false,
23760,
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% % SZS status Started for /home/graph/tptp/TPTP/Problems/REL/REL042+2.p
% --creating new selector for [REL001+0.ax, REL001+1.ax]
% -running prover on /tmp/tmpLMLWwi/sel_REL042+2.p_1 with time limit 29
% -prover status Theorem
% Problem REL042+2.p solved in phase 0.
% % SZS status Theorem for /home/graph/tptp/TPTP/Problems/REL/REL042+2.p
% % SZS status Ended for /home/graph/tptp/TPTP/Problems/REL/REL042+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
%
%------------------------------------------------------------------------------