TSTP Solution File: REL025+1 by SInE---0.4
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SInE---0.4
% Problem : REL025+1 : TPTP v5.0.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : Source/sine.py -e eprover -t %d %s
% Computer : art07.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 01:16:08 EST 2010
% Result : Theorem 4.29s
% Output : CNFRefutation 4.29s
% Verified :
% SZS Type : None (Could not find formula named theouality))
% Syntax : Number of formulae : 235
% Comments :
%------------------------------------------------------------------------------
fof(1,axiom,
! [X1,X2] : converse(composition(X1,X2)) = composition(converse(X2),converse(X1)),
file('/tmp/tmpX-p6z3/sel_REL025+1.p_1',converse_multiplicativity) ).
fof(2,axiom,
! [X1] : converse(converse(X1)) = X1,
file('/tmp/tmpX-p6z3/sel_REL025+1.p_1',converse_idempotence) ).
fof(3,axiom,
! [X1,X2,X3] : composition(join(X1,X2),X3) = join(composition(X1,X3),composition(X2,X3)),
file('/tmp/tmpX-p6z3/sel_REL025+1.p_1',composition_distributivity) ).
fof(4,axiom,
! [X1,X2] : converse(join(X1,X2)) = join(converse(X1),converse(X2)),
file('/tmp/tmpX-p6z3/sel_REL025+1.p_1',converse_additivity) ).
fof(5,axiom,
! [X1,X2] : join(X1,X2) = join(X2,X1),
file('/tmp/tmpX-p6z3/sel_REL025+1.p_1',maddux1_join_commutativity) ).
fof(6,axiom,
! [X1,X2,X3] : composition(X1,composition(X2,X3)) = composition(composition(X1,X2),X3),
file('/tmp/tmpX-p6z3/sel_REL025+1.p_1',composition_associativity) ).
fof(7,axiom,
! [X1] : composition(X1,one) = X1,
file('/tmp/tmpX-p6z3/sel_REL025+1.p_1',composition_identity) ).
fof(8,axiom,
! [X1,X2] : join(composition(converse(X1),complement(composition(X1,X2))),complement(X2)) = complement(X2),
file('/tmp/tmpX-p6z3/sel_REL025+1.p_1',converse_cancellativity) ).
fof(9,axiom,
! [X1,X2,X3] : join(X1,join(X2,X3)) = join(join(X1,X2),X3),
file('/tmp/tmpX-p6z3/sel_REL025+1.p_1',maddux2_join_associativity) ).
fof(10,axiom,
! [X1,X2] : X1 = join(complement(join(complement(X1),complement(X2))),complement(join(complement(X1),X2))),
file('/tmp/tmpX-p6z3/sel_REL025+1.p_1',maddux3_a_kind_of_de_Morgan) ).
fof(11,conjecture,
! [X1] :
( join(X1,one) = one
=> converse(X1) = X1 ),
file('/tmp/tmpX-p6z3/sel_REL025+1.p_1',goals) ).
fof(12,negated_conjecture,
~ ! [X1] :
( join(X1,one) = one
=> converse(X1) = X1 ),
inference(assume_negation,[status(cth)],[11]) ).
fof(13,plain,
! [X3,X4] : converse(composition(X3,X4)) = composition(converse(X4),converse(X3)),
inference(variable_rename,[status(thm)],[1]) ).
cnf(14,plain,
converse(composition(X1,X2)) = composition(converse(X2),converse(X1)),
inference(split_conjunct,[status(thm)],[13]) ).
fof(15,plain,
! [X2] : converse(converse(X2)) = X2,
inference(variable_rename,[status(thm)],[2]) ).
cnf(16,plain,
converse(converse(X1)) = X1,
inference(split_conjunct,[status(thm)],[15]) ).
fof(17,plain,
! [X4,X5,X6] : composition(join(X4,X5),X6) = join(composition(X4,X6),composition(X5,X6)),
inference(variable_rename,[status(thm)],[3]) ).
cnf(18,plain,
composition(join(X1,X2),X3) = join(composition(X1,X3),composition(X2,X3)),
inference(split_conjunct,[status(thm)],[17]) ).
fof(19,plain,
! [X3,X4] : converse(join(X3,X4)) = join(converse(X3),converse(X4)),
inference(variable_rename,[status(thm)],[4]) ).
cnf(20,plain,
converse(join(X1,X2)) = join(converse(X1),converse(X2)),
inference(split_conjunct,[status(thm)],[19]) ).
fof(21,plain,
! [X3,X4] : join(X3,X4) = join(X4,X3),
inference(variable_rename,[status(thm)],[5]) ).
cnf(22,plain,
join(X1,X2) = join(X2,X1),
inference(split_conjunct,[status(thm)],[21]) ).
fof(23,plain,
! [X4,X5,X6] : composition(X4,composition(X5,X6)) = composition(composition(X4,X5),X6),
inference(variable_rename,[status(thm)],[6]) ).
cnf(24,plain,
composition(X1,composition(X2,X3)) = composition(composition(X1,X2),X3),
inference(split_conjunct,[status(thm)],[23]) ).
fof(25,plain,
! [X2] : composition(X2,one) = X2,
inference(variable_rename,[status(thm)],[7]) ).
cnf(26,plain,
composition(X1,one) = X1,
inference(split_conjunct,[status(thm)],[25]) ).
fof(27,plain,
! [X3,X4] : join(composition(converse(X3),complement(composition(X3,X4))),complement(X4)) = complement(X4),
inference(variable_rename,[status(thm)],[8]) ).
cnf(28,plain,
join(composition(converse(X1),complement(composition(X1,X2))),complement(X2)) = complement(X2),
inference(split_conjunct,[status(thm)],[27]) ).
fof(29,plain,
! [X4,X5,X6] : join(X4,join(X5,X6)) = join(join(X4,X5),X6),
inference(variable_rename,[status(thm)],[9]) ).
cnf(30,plain,
join(X1,join(X2,X3)) = join(join(X1,X2),X3),
inference(split_conjunct,[status(thm)],[29]) ).
fof(31,plain,
! [X3,X4] : X3 = join(complement(join(complement(X3),complement(X4))),complement(join(complement(X3),X4))),
inference(variable_rename,[status(thm)],[10]) ).
cnf(32,plain,
X1 = join(complement(join(complement(X1),complement(X2))),complement(join(complement(X1),X2))),
inference(split_conjunct,[status(thm)],[31]) ).
fof(33,negated_conjecture,
? [X1] :
( join(X1,one) = one
& converse(X1) != X1 ),
inference(fof_nnf,[status(thm)],[12]) ).
fof(34,negated_conjecture,
? [X2] :
( join(X2,one) = one
& converse(X2) != X2 ),
inference(variable_rename,[status(thm)],[33]) ).
fof(35,negated_conjecture,
( join(esk1_0,one) = one
& converse(esk1_0) != esk1_0 ),
inference(skolemize,[status(esa)],[34]) ).
cnf(36,negated_conjecture,
converse(esk1_0) != esk1_0,
inference(split_conjunct,[status(thm)],[35]) ).
cnf(37,negated_conjecture,
join(esk1_0,one) = one,
inference(split_conjunct,[status(thm)],[35]) ).
cnf(38,negated_conjecture,
join(one,esk1_0) = one,
inference(rw,[status(thm)],[37,22,theory(equality)]) ).
cnf(40,plain,
composition(converse(X1),X2) = converse(composition(converse(X2),X1)),
inference(spm,[status(thm)],[14,16,theory(equality)]) ).
cnf(41,plain,
join(X1,converse(X2)) = converse(join(converse(X1),X2)),
inference(spm,[status(thm)],[20,16,theory(equality)]) ).
cnf(42,plain,
join(converse(X1),X2) = converse(join(X1,converse(X2))),
inference(spm,[status(thm)],[20,16,theory(equality)]) ).
cnf(49,plain,
composition(converse(composition(X2,X1)),X3) = composition(converse(X1),composition(converse(X2),X3)),
inference(spm,[status(thm)],[24,14,theory(equality)]) ).
cnf(56,plain,
join(X1,join(X2,X3)) = join(X3,join(X1,X2)),
inference(spm,[status(thm)],[22,30,theory(equality)]) ).
cnf(58,plain,
join(join(X2,X1),X3) = join(X1,join(X2,X3)),
inference(spm,[status(thm)],[30,22,theory(equality)]) ).
cnf(62,plain,
join(X2,join(X1,X3)) = join(X1,join(X2,X3)),
inference(rw,[status(thm)],[58,30,theory(equality)]) ).
cnf(66,plain,
join(converse(composition(X2,X1)),composition(X3,converse(X2))) = composition(join(converse(X1),X3),converse(X2)),
inference(spm,[status(thm)],[18,14,theory(equality)]) ).
cnf(67,plain,
join(composition(X1,converse(X2)),converse(composition(X2,X3))) = composition(join(X1,converse(X3)),converse(X2)),
inference(spm,[status(thm)],[18,14,theory(equality)]) ).
cnf(79,plain,
join(complement(X2),composition(converse(X1),complement(composition(X1,X2)))) = complement(X2),
inference(rw,[status(thm)],[28,22,theory(equality)]) ).
cnf(81,plain,
join(complement(one),composition(converse(X1),complement(X1))) = complement(one),
inference(spm,[status(thm)],[79,26,theory(equality)]) ).
cnf(86,plain,
join(complement(join(complement(X1),X2)),complement(join(complement(X1),complement(X2)))) = X1,
inference(rw,[status(thm)],[32,22,theory(equality)]) ).
cnf(87,plain,
join(X1,X3) = join(complement(join(complement(X1),X2)),join(complement(join(complement(X1),complement(X2))),X3)),
inference(spm,[status(thm)],[30,86,theory(equality)]) ).
cnf(89,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)],[86,86,theory(equality)]) ).
cnf(91,plain,
join(complement(join(X2,complement(X1))),complement(join(complement(X1),complement(X2)))) = X1,
inference(spm,[status(thm)],[86,22,theory(equality)]) ).
cnf(96,negated_conjecture,
join(one,X1) = join(one,join(esk1_0,X1)),
inference(spm,[status(thm)],[30,38,theory(equality)]) ).
cnf(130,plain,
converse(converse(X1)) = composition(converse(one),X1),
inference(spm,[status(thm)],[40,26,theory(equality)]) ).
cnf(134,plain,
join(composition(converse(X2),X1),converse(X3)) = converse(join(composition(converse(X1),X2),X3)),
inference(spm,[status(thm)],[20,40,theory(equality)]) ).
cnf(144,plain,
X1 = composition(converse(one),X1),
inference(rw,[status(thm)],[130,16,theory(equality)]) ).
cnf(156,plain,
one = converse(one),
inference(spm,[status(thm)],[26,144,theory(equality)]) ).
cnf(199,plain,
join(one,converse(X1)) = converse(join(one,X1)),
inference(spm,[status(thm)],[20,156,theory(equality)]) ).
cnf(205,plain,
composition(one,X1) = X1,
inference(rw,[status(thm)],[144,156,theory(equality)]) ).
cnf(213,plain,
join(X1,composition(X2,X1)) = composition(join(one,X2),X1),
inference(spm,[status(thm)],[18,205,theory(equality)]) ).
cnf(215,plain,
join(complement(X1),composition(converse(one),complement(X1))) = complement(X1),
inference(spm,[status(thm)],[79,205,theory(equality)]) ).
cnf(220,plain,
join(complement(X1),complement(X1)) = complement(X1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[215,156,theory(equality)]),205,theory(equality)]) ).
cnf(233,negated_conjecture,
converse(one) = join(one,converse(esk1_0)),
inference(spm,[status(thm)],[199,38,theory(equality)]) ).
cnf(242,negated_conjecture,
one = join(one,converse(esk1_0)),
inference(rw,[status(thm)],[233,156,theory(equality)]) ).
cnf(249,plain,
join(complement(X1),X2) = join(complement(X1),join(complement(X1),X2)),
inference(spm,[status(thm)],[30,220,theory(equality)]) ).
cnf(506,plain,
composition(converse(X1),converse(X2)) = composition(converse(composition(X2,X1)),one),
inference(spm,[status(thm)],[49,26,theory(equality)]) ).
cnf(530,plain,
converse(composition(X2,X1)) = composition(converse(composition(X2,X1)),one),
inference(rw,[status(thm)],[506,14,theory(equality)]) ).
cnf(751,plain,
join(complement(one),composition(X1,complement(converse(X1)))) = complement(one),
inference(spm,[status(thm)],[81,16,theory(equality)]) ).
cnf(935,plain,
join(complement(join(complement(X1),X2)),X1) = X1,
inference(spm,[status(thm)],[249,86,theory(equality)]) ).
cnf(958,plain,
join(X1,complement(join(complement(X1),X2))) = X1,
inference(rw,[status(thm)],[935,22,theory(equality)]) ).
cnf(972,plain,
join(X1,complement(complement(X1))) = X1,
inference(spm,[status(thm)],[958,79,theory(equality)]) ).
cnf(979,negated_conjecture,
join(one,esk1_0) = join(one,complement(join(complement(esk1_0),X1))),
inference(spm,[status(thm)],[96,958,theory(equality)]) ).
cnf(989,plain,
join(X1,complement(join(X2,complement(X1)))) = X1,
inference(spm,[status(thm)],[958,22,theory(equality)]) ).
cnf(1003,negated_conjecture,
one = join(one,complement(join(complement(esk1_0),X1))),
inference(rw,[status(thm)],[979,38,theory(equality)]) ).
cnf(1011,plain,
join(X1,X2) = join(X1,join(complement(complement(X1)),X2)),
inference(spm,[status(thm)],[30,972,theory(equality)]) ).
cnf(1015,plain,
converse(converse(X1)) = join(X1,converse(complement(complement(converse(X1))))),
inference(spm,[status(thm)],[41,972,theory(equality)]) ).
cnf(1017,negated_conjecture,
join(one,esk1_0) = join(one,complement(complement(esk1_0))),
inference(spm,[status(thm)],[96,972,theory(equality)]) ).
cnf(1029,plain,
X1 = join(X1,converse(complement(complement(converse(X1))))),
inference(rw,[status(thm)],[1015,16,theory(equality)]) ).
cnf(1031,negated_conjecture,
one = join(one,complement(complement(esk1_0))),
inference(rw,[status(thm)],[1017,38,theory(equality)]) ).
cnf(1055,plain,
join(converse(composition(one,X1)),composition(X2,one)) = composition(join(converse(X1),X2),one),
inference(spm,[status(thm)],[66,156,theory(equality)]) ).
cnf(1086,plain,
join(converse(X1),X2) = composition(join(converse(X1),X2),one),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[1055,205,theory(equality)]),26,theory(equality)]) ).
cnf(1206,negated_conjecture,
join(complement(esk1_0),complement(one)) = complement(esk1_0),
inference(spm,[status(thm)],[989,1031,theory(equality)]) ).
cnf(1209,negated_conjecture,
join(join(complement(esk1_0),X1),complement(one)) = join(complement(esk1_0),X1),
inference(spm,[status(thm)],[989,1003,theory(equality)]) ).
cnf(1231,negated_conjecture,
join(complement(one),complement(esk1_0)) = complement(esk1_0),
inference(rw,[status(thm)],[1206,22,theory(equality)]) ).
cnf(1234,negated_conjecture,
join(complement(one),join(complement(esk1_0),X1)) = join(complement(esk1_0),X1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[1209,30,theory(equality)]),56,theory(equality)]) ).
cnf(1248,negated_conjecture,
join(X1,complement(esk1_0)) = join(complement(one),join(X1,complement(esk1_0))),
inference(spm,[status(thm)],[62,1231,theory(equality)]) ).
cnf(1329,plain,
join(X1,complement(complement(X1))) = join(X1,complement(complement(complement(complement(X1))))),
inference(spm,[status(thm)],[1011,972,theory(equality)]) ).
cnf(1365,plain,
X1 = join(X1,complement(complement(complement(complement(X1))))),
inference(rw,[status(thm)],[1329,972,theory(equality)]) ).
cnf(1387,plain,
join(complement(complement(complement(X1))),complement(X1)) = complement(complement(complement(X1))),
inference(spm,[status(thm)],[989,1365,theory(equality)]) ).
cnf(1404,plain,
complement(X1) = complement(complement(complement(X1))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[1387,22,theory(equality)]),972,theory(equality)]) ).
cnf(1408,plain,
join(complement(join(complement(X1),X2)),complement(join(complement(X1),complement(X2)))) = complement(complement(X1)),
inference(spm,[status(thm)],[86,1404,theory(equality)]) ).
cnf(1422,plain,
X1 = complement(complement(X1)),
inference(rw,[status(thm)],[1408,86,theory(equality)]) ).
cnf(1492,plain,
join(complement(X1),complement(join(X2,X1))) = complement(X1),
inference(spm,[status(thm)],[989,1422,theory(equality)]) ).
cnf(1494,plain,
join(X1,join(X1,X2)) = join(X1,X2),
inference(rw,[status(thm)],[1011,1422,theory(equality)]) ).
cnf(1495,plain,
join(X1,X1) = X1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[1029,1422,theory(equality)]),16,theory(equality)]) ).
cnf(1549,plain,
join(X1,X2) = join(X2,join(X1,X2)),
inference(spm,[status(thm)],[56,1495,theory(equality)]) ).
cnf(1694,plain,
join(X1,join(X2,X3)) = join(join(X2,X3),join(X1,X2)),
inference(spm,[status(thm)],[56,1494,theory(equality)]) ).
cnf(1757,plain,
join(X1,join(X2,X3)) = join(X2,join(X3,join(X1,X2))),
inference(rw,[status(thm)],[1694,30,theory(equality)]) ).
cnf(2361,plain,
composition(converse(join(X1,X2)),one) = converse(join(X1,X2)),
inference(spm,[status(thm)],[1086,20,theory(equality)]) ).
cnf(2748,plain,
composition(converse(complement(X1)),one) = converse(complement(X1)),
inference(spm,[status(thm)],[2361,79,theory(equality)]) ).
cnf(2900,plain,
composition(converse(converse(complement(X1))),one) = converse(converse(complement(X1))),
inference(spm,[status(thm)],[530,2748,theory(equality)]) ).
cnf(2920,plain,
composition(complement(X1),one) = converse(converse(complement(X1))),
inference(rw,[status(thm)],[2900,16,theory(equality)]) ).
cnf(2921,plain,
composition(complement(X1),one) = complement(X1),
inference(rw,[status(thm)],[2920,16,theory(equality)]) ).
cnf(2936,plain,
join(complement(X1),composition(X2,one)) = composition(join(complement(X1),X2),one),
inference(spm,[status(thm)],[18,2921,theory(equality)]) ).
cnf(2950,plain,
join(complement(X1),X2) = composition(join(complement(X1),X2),one),
inference(rw,[status(thm)],[2936,26,theory(equality)]) ).
cnf(4071,negated_conjecture,
join(X1,composition(esk1_0,X1)) = composition(one,X1),
inference(spm,[status(thm)],[213,38,theory(equality)]) ).
cnf(4074,negated_conjecture,
join(X1,composition(converse(esk1_0),X1)) = composition(one,X1),
inference(spm,[status(thm)],[213,242,theory(equality)]) ).
cnf(4153,negated_conjecture,
join(X1,composition(esk1_0,X1)) = X1,
inference(rw,[status(thm)],[4071,205,theory(equality)]) ).
cnf(4158,negated_conjecture,
join(X1,composition(converse(esk1_0),X1)) = X1,
inference(rw,[status(thm)],[4074,205,theory(equality)]) ).
cnf(4322,negated_conjecture,
join(X1,X2) = join(X1,join(composition(esk1_0,X1),X2)),
inference(spm,[status(thm)],[30,4153,theory(equality)]) ).
cnf(4327,negated_conjecture,
join(one,esk1_0) = join(one,composition(esk1_0,esk1_0)),
inference(spm,[status(thm)],[96,4153,theory(equality)]) ).
cnf(4362,negated_conjecture,
one = join(one,composition(esk1_0,esk1_0)),
inference(rw,[status(thm)],[4327,38,theory(equality)]) ).
cnf(4397,negated_conjecture,
join(complement(composition(esk1_0,esk1_0)),complement(one)) = complement(composition(esk1_0,esk1_0)),
inference(spm,[status(thm)],[1492,4362,theory(equality)]) ).
cnf(4411,negated_conjecture,
join(complement(one),complement(composition(esk1_0,esk1_0))) = complement(composition(esk1_0,esk1_0)),
inference(rw,[status(thm)],[4397,22,theory(equality)]) ).
cnf(4524,negated_conjecture,
converse(converse(X1)) = join(X1,converse(composition(converse(esk1_0),converse(X1)))),
inference(spm,[status(thm)],[41,4158,theory(equality)]) ).
cnf(4560,negated_conjecture,
X1 = join(X1,converse(composition(converse(esk1_0),converse(X1)))),
inference(rw,[status(thm)],[4524,16,theory(equality)]) ).
cnf(4561,negated_conjecture,
X1 = join(X1,composition(X1,esk1_0)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[4560,14,theory(equality)]),16,theory(equality)]) ).
cnf(4628,negated_conjecture,
join(X1,X2) = join(X1,join(composition(X1,esk1_0),X2)),
inference(spm,[status(thm)],[30,4561,theory(equality)]) ).
cnf(4661,negated_conjecture,
join(X1,X2) = join(X2,join(X1,composition(X2,esk1_0))),
inference(spm,[status(thm)],[62,4561,theory(equality)]) ).
cnf(4856,negated_conjecture,
join(X1,composition(join(esk1_0,X2),X1)) = join(X1,composition(X2,X1)),
inference(spm,[status(thm)],[4322,18,theory(equality)]) ).
cnf(4889,negated_conjecture,
join(complement(one),complement(esk1_0)) = join(composition(esk1_0,complement(one)),complement(esk1_0)),
inference(spm,[status(thm)],[1248,4322,theory(equality)]) ).
cnf(4957,negated_conjecture,
complement(esk1_0) = join(composition(esk1_0,complement(one)),complement(esk1_0)),
inference(rw,[status(thm)],[4889,1231,theory(equality)]) ).
cnf(4958,negated_conjecture,
complement(esk1_0) = join(complement(esk1_0),composition(esk1_0,complement(one))),
inference(rw,[status(thm)],[4957,22,theory(equality)]) ).
cnf(5105,plain,
composition(join(X1,X3),one) = join(X1,X3),
inference(spm,[status(thm)],[2950,87,theory(equality)]) ).
cnf(5276,negated_conjecture,
join(complement(composition(esk1_0,complement(one))),complement(complement(esk1_0))) = complement(composition(esk1_0,complement(one))),
inference(spm,[status(thm)],[1492,4958,theory(equality)]) ).
cnf(5295,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)],[5276,1422,theory(equality)]),22,theory(equality)]) ).
cnf(6054,negated_conjecture,
join(X1,composition(join(X1,X2),esk1_0)) = join(X1,composition(X2,esk1_0)),
inference(spm,[status(thm)],[4628,18,theory(equality)]) ).
cnf(6085,negated_conjecture,
join(complement(one),complement(esk1_0)) = join(composition(complement(one),esk1_0),complement(esk1_0)),
inference(spm,[status(thm)],[1248,4628,theory(equality)]) ).
cnf(6162,negated_conjecture,
complement(esk1_0) = join(composition(complement(one),esk1_0),complement(esk1_0)),
inference(rw,[status(thm)],[6085,1231,theory(equality)]) ).
cnf(6163,negated_conjecture,
complement(esk1_0) = join(complement(esk1_0),composition(complement(one),esk1_0)),
inference(rw,[status(thm)],[6162,22,theory(equality)]) ).
cnf(6304,negated_conjecture,
join(X1,composition(join(X2,X1),esk1_0)) = join(composition(X2,esk1_0),X1),
inference(spm,[status(thm)],[4661,18,theory(equality)]) ).
cnf(6441,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)],[89,1422,theory(equality)]),22,theory(equality)]),30,theory(equality)]),1492,theory(equality)]) ).
cnf(6447,plain,
join(complement(X1),complement(complement(X1))) = join(complement(X1),join(complement(complement(X1)),X2)),
inference(spm,[status(thm)],[6441,958,theory(equality)]) ).
cnf(6453,plain,
join(X1,complement(join(X1,complement(X2)))) = join(X1,X2),
inference(spm,[status(thm)],[6441,1422,theory(equality)]) ).
cnf(6490,plain,
join(X1,complement(X1)) = join(complement(X1),join(complement(complement(X1)),X2)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[6447,1422,theory(equality)]),22,theory(equality)]) ).
cnf(6491,plain,
join(X1,complement(X1)) = join(X1,join(complement(X1),X2)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[6490,1422,theory(equality)]),62,theory(equality)]) ).
cnf(6539,negated_conjecture,
join(complement(composition(complement(one),esk1_0)),complement(complement(esk1_0))) = complement(composition(complement(one),esk1_0)),
inference(spm,[status(thm)],[1492,6163,theory(equality)]) ).
cnf(6559,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)],[6539,1422,theory(equality)]),22,theory(equality)]) ).
cnf(6678,negated_conjecture,
join(one,complement(esk1_0)) = join(one,complement(one)),
inference(spm,[status(thm)],[6491,1231,theory(equality)]) ).
cnf(6685,plain,
join(X1,join(X2,complement(X1))) = join(X1,complement(X1)),
inference(spm,[status(thm)],[6491,1549,theory(equality)]) ).
cnf(6699,plain,
join(X1,join(X2,complement(X2))) = join(complement(X2),join(X1,X2)),
inference(spm,[status(thm)],[1757,6491,theory(equality)]) ).
cnf(6711,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)],[87,6491,theory(equality)]) ).
cnf(6771,plain,
join(X1,join(X2,complement(X2))) = join(X2,complement(X2)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[6699,56,theory(equality)]),6491,theory(equality)]) ).
cnf(6780,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)],[6711,1422,theory(equality)]),56,theory(equality)]),22,theory(equality)]),6441,theory(equality)]),56,theory(equality)]),6491,theory(equality)]),56,theory(equality)]),22,theory(equality)]),62,theory(equality)]),1492,theory(equality)]) ).
cnf(6781,plain,
join(X2,complement(X2)) = join(X1,complement(X1)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[6780,1422,theory(equality)]),30,theory(equality)]),6491,theory(equality)]) ).
cnf(6800,negated_conjecture,
join(esk1_0,complement(join(one,complement(one)))) = esk1_0,
inference(spm,[status(thm)],[989,6678,theory(equality)]) ).
cnf(6913,negated_conjecture,
composition(esk1_0,one) = esk1_0,
inference(spm,[status(thm)],[5105,6800,theory(equality)]) ).
cnf(7097,negated_conjecture,
join(esk1_0,join(one,complement(one))) = join(esk1_0,complement(esk1_0)),
inference(spm,[status(thm)],[6685,6678,theory(equality)]) ).
cnf(7178,negated_conjecture,
join(one,complement(one)) = join(esk1_0,complement(esk1_0)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[7097,62,theory(equality)]),96,theory(equality)]) ).
cnf(7199,plain,
join(X1,complement(join(X2,complement(X2)))) = X1,
inference(spm,[status(thm)],[958,6771,theory(equality)]) ).
cnf(7238,plain,
join(X1,composition(join(X2,complement(X2)),X1)) = composition(join(X2,complement(X2)),X1),
inference(spm,[status(thm)],[213,6771,theory(equality)]) ).
cnf(7997,plain,
converse(join(X1,complement(X1))) = join(one,converse(complement(one))),
inference(spm,[status(thm)],[199,6781,theory(equality)]) ).
cnf(8686,plain,
join(one,converse(complement(one))) = join(X1,converse(complement(converse(X1)))),
inference(spm,[status(thm)],[41,7997,theory(equality)]) ).
cnf(10018,plain,
join(X1,complement(join(X1,X2))) = join(X1,complement(X2)),
inference(spm,[status(thm)],[6453,1422,theory(equality)]) ).
cnf(10267,negated_conjecture,
join(X1,complement(X1)) = join(X1,complement(composition(esk1_0,X1))),
inference(spm,[status(thm)],[10018,4153,theory(equality)]) ).
cnf(10273,negated_conjecture,
join(X1,complement(X1)) = join(X1,complement(composition(X1,esk1_0))),
inference(spm,[status(thm)],[10018,4561,theory(equality)]) ).
cnf(10335,plain,
join(X1,complement(join(X2,X1))) = join(X1,complement(X2)),
inference(spm,[status(thm)],[10018,22,theory(equality)]) ).
cnf(12415,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)],[134,67,theory(equality)]) ).
cnf(12507,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)],[12415,20,theory(equality)]),14,theory(equality)]),16,theory(equality)]) ).
cnf(12508,plain,
composition(X2,join(X1,X3)) = join(composition(X2,X1),composition(X2,X3)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[12507,16,theory(equality)]),16,theory(equality)]) ).
cnf(13840,plain,
join(X1,composition(X1,X2)) = composition(X1,join(one,X2)),
inference(spm,[status(thm)],[12508,26,theory(equality)]) ).
cnf(13877,negated_conjecture,
join(esk1_0,composition(esk1_0,X1)) = composition(esk1_0,join(one,X1)),
inference(spm,[status(thm)],[12508,6913,theory(equality)]) ).
cnf(14010,negated_conjecture,
composition(esk1_0,join(one,complement(one))) = join(esk1_0,composition(esk1_0,complement(esk1_0))),
inference(spm,[status(thm)],[13877,6678,theory(equality)]) ).
cnf(14138,negated_conjecture,
join(esk1_0,composition(esk1_0,complement(one))) = join(esk1_0,composition(esk1_0,complement(esk1_0))),
inference(rw,[status(thm)],[14010,13877,theory(equality)]) ).
cnf(14330,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)],[10018,14138,theory(equality)]) ).
cnf(14349,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)],[14330,10018,theory(equality)]),5295,theory(equality)]) ).
cnf(14578,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)],[91,14349,theory(equality)]) ).
cnf(14596,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)],[14578,1422,theory(equality)]),22,theory(equality)]),10267,theory(equality)]),1422,theory(equality)]),22,theory(equality)]),7178,theory(equality)]),7199,theory(equality)]) ).
cnf(14609,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)],[79,14596,theory(equality)]) ).
cnf(14636,negated_conjecture,
join(esk1_0,composition(converse(esk1_0),complement(composition(esk1_0,complement(one))))) = complement(complement(esk1_0)),
inference(rw,[status(thm)],[14609,1422,theory(equality)]) ).
cnf(14637,negated_conjecture,
join(esk1_0,composition(converse(esk1_0),complement(composition(esk1_0,complement(one))))) = esk1_0,
inference(rw,[status(thm)],[14636,1422,theory(equality)]) ).
cnf(15530,negated_conjecture,
join(one,complement(join(one,converse(complement(one))))) = one,
inference(spm,[status(thm)],[1003,8686,theory(equality)]) ).
cnf(15539,negated_conjecture,
join(complement(one),join(one,converse(complement(one)))) = join(one,converse(complement(one))),
inference(spm,[status(thm)],[1234,8686,theory(equality)]) ).
cnf(15608,negated_conjecture,
join(one,complement(converse(complement(one)))) = one,
inference(rw,[status(thm)],[15530,10018,theory(equality)]) ).
cnf(15613,negated_conjecture,
join(one,complement(one)) = join(one,converse(complement(one))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[15539,62,theory(equality)]),6491,theory(equality)]) ).
cnf(15651,negated_conjecture,
join(converse(complement(one)),complement(one)) = converse(complement(one)),
inference(spm,[status(thm)],[989,15608,theory(equality)]) ).
cnf(15677,negated_conjecture,
join(complement(one),converse(complement(one))) = converse(complement(one)),
inference(rw,[status(thm)],[15651,22,theory(equality)]) ).
cnf(16015,plain,
join(X1,converse(complement(converse(X1)))) = join(one,complement(one)),
inference(rw,[status(thm)],[8686,15613,theory(equality)]) ).
cnf(16105,negated_conjecture,
converse(converse(complement(one))) = join(converse(complement(one)),complement(one)),
inference(spm,[status(thm)],[42,15677,theory(equality)]) ).
cnf(16126,negated_conjecture,
complement(one) = join(converse(complement(one)),complement(one)),
inference(rw,[status(thm)],[16105,16,theory(equality)]) ).
cnf(16127,negated_conjecture,
complement(one) = converse(complement(one)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[16126,22,theory(equality)]),15677,theory(equality)]) ).
cnf(16146,negated_conjecture,
join(complement(one),converse(X1)) = converse(join(complement(one),X1)),
inference(spm,[status(thm)],[20,16127,theory(equality)]) ).
cnf(16401,negated_conjecture,
converse(complement(esk1_0)) = join(complement(one),converse(complement(esk1_0))),
inference(spm,[status(thm)],[16146,1231,theory(equality)]) ).
cnf(16449,negated_conjecture,
converse(join(complement(one),complement(complement(one)))) = join(complement(one),converse(complement(composition(esk1_0,complement(one))))),
inference(spm,[status(thm)],[16146,10267,theory(equality)]) ).
cnf(16546,negated_conjecture,
join(one,complement(one)) = join(complement(one),converse(complement(composition(esk1_0,complement(one))))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[16449,1422,theory(equality)]),22,theory(equality)]),199,theory(equality)]),16127,theory(equality)]) ).
cnf(17741,plain,
join(X1,complement(join(one,complement(one)))) = join(X1,complement(converse(complement(converse(X1))))),
inference(spm,[status(thm)],[10018,16015,theory(equality)]) ).
cnf(17831,plain,
X1 = join(X1,complement(converse(complement(converse(X1))))),
inference(rw,[status(thm)],[17741,7199,theory(equality)]) ).
cnf(18218,plain,
converse(converse(X1)) = join(X1,converse(complement(converse(complement(converse(converse(X1))))))),
inference(spm,[status(thm)],[41,17831,theory(equality)]) ).
cnf(18301,plain,
X1 = join(X1,converse(complement(converse(complement(converse(converse(X1))))))),
inference(rw,[status(thm)],[18218,16,theory(equality)]) ).
cnf(18302,plain,
X1 = join(X1,converse(complement(converse(complement(X1))))),
inference(rw,[status(thm)],[18301,16,theory(equality)]) ).
cnf(18410,plain,
join(complement(converse(complement(converse(complement(X1))))),complement(X1)) = complement(converse(complement(converse(complement(X1))))),
inference(spm,[status(thm)],[1492,18302,theory(equality)]) ).
cnf(18475,plain,
complement(X1) = complement(converse(complement(converse(complement(X1))))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[18410,22,theory(equality)]),17831,theory(equality)]) ).
cnf(18520,plain,
join(complement(join(complement(X1),X2)),complement(join(complement(X1),complement(X2)))) = converse(complement(converse(complement(X1)))),
inference(spm,[status(thm)],[86,18475,theory(equality)]) ).
cnf(18562,plain,
X1 = converse(complement(converse(complement(X1)))),
inference(rw,[status(thm)],[18520,86,theory(equality)]) ).
cnf(18594,plain,
converse(X1) = complement(converse(complement(X1))),
inference(spm,[status(thm)],[16,18562,theory(equality)]) ).
cnf(18662,plain,
complement(converse(X1)) = converse(complement(X1)),
inference(spm,[status(thm)],[1422,18594,theory(equality)]) ).
cnf(18803,plain,
join(complement(one),composition(X1,converse(complement(X1)))) = complement(one),
inference(rw,[status(thm)],[751,18662,theory(equality)]) ).
cnf(53896,negated_conjecture,
join(converse(complement(composition(esk1_0,complement(one)))),complement(join(one,complement(one)))) = join(converse(complement(composition(esk1_0,complement(one)))),complement(complement(one))),
inference(spm,[status(thm)],[10335,16546,theory(equality)]) ).
cnf(53945,negated_conjecture,
converse(complement(composition(esk1_0,complement(one)))) = join(converse(complement(composition(esk1_0,complement(one)))),complement(complement(one))),
inference(rw,[status(thm)],[53896,7199,theory(equality)]) ).
cnf(53946,negated_conjecture,
converse(complement(composition(esk1_0,complement(one)))) = join(one,converse(complement(composition(esk1_0,complement(one))))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[53945,1422,theory(equality)]),22,theory(equality)]) ).
cnf(77646,negated_conjecture,
converse(converse(complement(composition(esk1_0,complement(one))))) = join(one,converse(converse(complement(composition(esk1_0,complement(one)))))),
inference(spm,[status(thm)],[199,53946,theory(equality)]) ).
cnf(77700,negated_conjecture,
complement(composition(esk1_0,complement(one))) = join(one,converse(converse(complement(composition(esk1_0,complement(one)))))),
inference(rw,[status(thm)],[77646,16,theory(equality)]) ).
cnf(77701,negated_conjecture,
complement(composition(esk1_0,complement(one))) = join(one,complement(composition(esk1_0,complement(one)))),
inference(rw,[status(thm)],[77700,16,theory(equality)]) ).
cnf(130555,negated_conjecture,
composition(join(esk1_0,complement(esk1_0)),esk1_0) = join(esk1_0,composition(complement(esk1_0),esk1_0)),
inference(spm,[status(thm)],[6054,7238,theory(equality)]) ).
cnf(130727,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)],[130555,7178,theory(equality)]),213,theory(equality)]) ).
cnf(130815,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)],[10018,130727,theory(equality)]) ).
cnf(130857,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)],[130815,10018,theory(equality)]),6559,theory(equality)]) ).
cnf(130905,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)],[91,130857,theory(equality)]) ).
cnf(130954,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)],[130905,1422,theory(equality)]),22,theory(equality)]),10273,theory(equality)]),1422,theory(equality)]),22,theory(equality)]),7178,theory(equality)]),7199,theory(equality)]) ).
cnf(130984,negated_conjecture,
join(composition(complement(one),esk1_0),composition(X1,esk1_0)) = composition(join(complement(esk1_0),X1),esk1_0),
inference(spm,[status(thm)],[18,130954,theory(equality)]) ).
cnf(131034,negated_conjecture,
composition(join(complement(one),X1),esk1_0) = composition(join(complement(esk1_0),X1),esk1_0),
inference(rw,[status(thm)],[130984,18,theory(equality)]) ).
cnf(131360,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)],[7238,131034,theory(equality)]) ).
cnf(131684,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)],[131360,1422,theory(equality)]),22,theory(equality)]),4856,theory(equality)]) ).
cnf(131685,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)],[131684,1422,theory(equality)]),22,theory(equality)]) ).
cnf(131725,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)],[6304,131685,theory(equality)]) ).
cnf(131777,negated_conjecture,
join(esk1_0,complement(one)) = join(composition(esk1_0,esk1_0),complement(one)),
inference(rw,[status(thm)],[131725,4661,theory(equality)]) ).
cnf(131822,negated_conjecture,
join(complement(one),complement(join(esk1_0,complement(one)))) = join(complement(one),complement(composition(esk1_0,esk1_0))),
inference(spm,[status(thm)],[10335,131777,theory(equality)]) ).
cnf(131878,negated_conjecture,
complement(esk1_0) = join(complement(one),complement(composition(esk1_0,esk1_0))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[131822,10335,theory(equality)]),1231,theory(equality)]) ).
cnf(131879,negated_conjecture,
complement(esk1_0) = complement(composition(esk1_0,esk1_0)),
inference(rw,[status(thm)],[131878,4411,theory(equality)]) ).
cnf(131925,negated_conjecture,
join(complement(join(complement(esk1_0),X1)),complement(join(complement(esk1_0),complement(X1)))) = composition(esk1_0,esk1_0),
inference(spm,[status(thm)],[86,131879,theory(equality)]) ).
cnf(132063,negated_conjecture,
esk1_0 = composition(esk1_0,esk1_0),
inference(rw,[status(thm)],[131925,86,theory(equality)]) ).
cnf(132109,negated_conjecture,
composition(esk1_0,X1) = composition(esk1_0,composition(esk1_0,X1)),
inference(spm,[status(thm)],[24,132063,theory(equality)]) ).
cnf(132342,negated_conjecture,
join(composition(esk1_0,X1),composition(esk1_0,X2)) = composition(esk1_0,join(X1,composition(esk1_0,X2))),
inference(spm,[status(thm)],[12508,132109,theory(equality)]) ).
cnf(132432,negated_conjecture,
composition(esk1_0,join(X1,X2)) = composition(esk1_0,join(X1,composition(esk1_0,X2))),
inference(rw,[status(thm)],[132342,12508,theory(equality)]) ).
cnf(135172,negated_conjecture,
composition(esk1_0,complement(one)) = composition(esk1_0,join(complement(one),converse(complement(esk1_0)))),
inference(spm,[status(thm)],[132432,18803,theory(equality)]) ).
cnf(135320,negated_conjecture,
composition(esk1_0,complement(one)) = composition(esk1_0,converse(complement(esk1_0))),
inference(rw,[status(thm)],[135172,16401,theory(equality)]) ).
cnf(135401,negated_conjecture,
join(complement(converse(complement(esk1_0))),composition(converse(esk1_0),complement(composition(esk1_0,complement(one))))) = complement(converse(complement(esk1_0))),
inference(spm,[status(thm)],[79,135320,theory(equality)]) ).
cnf(135460,negated_conjecture,
composition(converse(esk1_0),complement(composition(esk1_0,complement(one)))) = complement(converse(complement(esk1_0))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[135401,18594,theory(equality)]),13840,theory(equality)]),77701,theory(equality)]) ).
cnf(135461,negated_conjecture,
composition(converse(esk1_0),complement(composition(esk1_0,complement(one)))) = converse(esk1_0),
inference(rw,[status(thm)],[135460,18594,theory(equality)]) ).
cnf(135837,negated_conjecture,
join(esk1_0,converse(esk1_0)) = esk1_0,
inference(rw,[status(thm)],[14637,135461,theory(equality)]) ).
cnf(135908,negated_conjecture,
converse(esk1_0) = join(converse(esk1_0),esk1_0),
inference(spm,[status(thm)],[42,135837,theory(equality)]) ).
cnf(135956,negated_conjecture,
converse(esk1_0) = esk1_0,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[135908,22,theory(equality)]),135837,theory(equality)]) ).
cnf(135957,negated_conjecture,
$false,
inference(sr,[status(thm)],[135956,36,theory(equality)]) ).
cnf(135958,negated_conjecture,
$false,
135957,
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% % SZS status Started for /home/graph/tptp/TPTP/Problems/REL/REL025+1.p
% --creating new selector for [REL001+0.ax]
% -running prover on /tmp/tmpX-p6z3/sel_REL025+1.p_1 with time limit 29
% -prover status Theorem
% Problem REL025+1.p solved in phase 0.
% % SZS status Theorem for /home/graph/tptp/TPTP/Problems/REL/REL025+1.p
% % SZS status Ended for /home/graph/tptp/TPTP/Problems/REL/REL025+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
%
%------------------------------------------------------------------------------