TSTP Solution File: REL030+2 by SRASS---0.1
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- Process Solution
%------------------------------------------------------------------------------
% File : SRASS---0.1
% Problem : REL030+2 : TPTP v5.0.0. Released v4.0.0.
% Transfm : none
% Format : tptp
% Command : SRASS -q2 -a 0 10 10 10 -i3 -n60 %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 : Wed Dec 29 21:49:00 EST 2010
% Result : Theorem 8.37s
% Output : Solution 8.37s
% Verified :
% SZS Type : None (Parsing solution fails)
% Syntax : Number of formulae : 0
% Comments :
%------------------------------------------------------------------------------
%----ERROR: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% Reading problem from /tmp/SystemOnTPTP5033/REL030+2.tptp
% Adding relevance values
% Extracting the conjecture
% Sorting axioms by relevance
% Looking for THM ...
% found
% SZS status THM for /tmp/SystemOnTPTP5033/REL030+2.tptp
% SZS output start Solution for /tmp/SystemOnTPTP5033/REL030+2.tptp
% TreeLimitedRun: ----------------------------------------------------------
% TreeLimitedRun: /home/graph/tptp/Systems/EP---1.2/eproof --print-statistics -xAuto -tAuto --cpu-limit=60 --proof-time-unlimited --memory-limit=Auto --tstp-in --tstp-out /tmp/SRASS.s.p
% TreeLimitedRun: CPU time limit is 60s
% TreeLimitedRun: WC time limit is 120s
% TreeLimitedRun: PID is 5129
% TreeLimitedRun: ----------------------------------------------------------
% PrfWatch: 0.00 CPU 0.00 WC
% PrfWatch: 1.91 CPU 2.01 WC
% # Preprocessing time : 0.010 s
% # Problem is unsatisfiable (or provable), constructing proof object
% # SZS status Theorem
% PrfWatch: 3.89 CPU 4.01 WC
% PrfWatch: 5.89 CPU 6.02 WC
% # SZS output start CNFRefutation.
% fof(1, axiom,![X1]:![X2]:join(X1,X2)=join(X2,X1),file('/tmp/SRASS.s.p', maddux1_join_commutativity)).
% fof(2, axiom,![X1]:![X2]:![X3]:join(X1,join(X2,X3))=join(join(X1,X2),X3),file('/tmp/SRASS.s.p', maddux2_join_associativity)).
% fof(3, axiom,![X1]:![X2]:X1=join(complement(join(complement(X1),complement(X2))),complement(join(complement(X1),X2))),file('/tmp/SRASS.s.p', maddux3_a_kind_of_de_Morgan)).
% fof(4, axiom,![X1]:![X2]:meet(X1,X2)=complement(join(complement(X1),complement(X2))),file('/tmp/SRASS.s.p', maddux4_definiton_of_meet)).
% fof(5, axiom,![X1]:![X2]:![X3]:composition(X1,composition(X2,X3))=composition(composition(X1,X2),X3),file('/tmp/SRASS.s.p', composition_associativity)).
% fof(6, axiom,![X1]:composition(X1,one)=X1,file('/tmp/SRASS.s.p', composition_identity)).
% fof(7, axiom,![X1]:![X2]:![X3]:composition(join(X1,X2),X3)=join(composition(X1,X3),composition(X2,X3)),file('/tmp/SRASS.s.p', composition_distributivity)).
% fof(8, axiom,![X1]:![X2]:join(composition(converse(X1),complement(composition(X1,X2))),complement(X2))=complement(X2),file('/tmp/SRASS.s.p', converse_cancellativity)).
% fof(9, axiom,![X1]:zero=meet(X1,complement(X1)),file('/tmp/SRASS.s.p', def_zero)).
% fof(10, axiom,![X1]:top=join(X1,complement(X1)),file('/tmp/SRASS.s.p', def_top)).
% fof(11, axiom,![X1]:converse(converse(X1))=X1,file('/tmp/SRASS.s.p', converse_idempotence)).
% fof(12, axiom,![X1]:![X2]:converse(join(X1,X2))=join(converse(X1),converse(X2)),file('/tmp/SRASS.s.p', converse_additivity)).
% fof(13, axiom,![X1]:![X2]:converse(composition(X1,X2))=composition(converse(X2),converse(X1)),file('/tmp/SRASS.s.p', converse_multiplicativity)).
% fof(14, conjecture,![X1]:![X2]:![X3]:(join(X1,one)=one=>(join(meet(composition(X1,X2),complement(X3)),meet(composition(X1,X2),complement(composition(X1,X3))))=meet(composition(X1,X2),complement(composition(X1,X3)))&join(meet(composition(X1,X2),complement(composition(X1,X3))),meet(composition(X1,X2),complement(X3)))=meet(composition(X1,X2),complement(X3)))),file('/tmp/SRASS.s.p', goals)).
% fof(15, negated_conjecture,~(![X1]:![X2]:![X3]:(join(X1,one)=one=>(join(meet(composition(X1,X2),complement(X3)),meet(composition(X1,X2),complement(composition(X1,X3))))=meet(composition(X1,X2),complement(composition(X1,X3)))&join(meet(composition(X1,X2),complement(composition(X1,X3))),meet(composition(X1,X2),complement(X3)))=meet(composition(X1,X2),complement(X3))))),inference(assume_negation,[status(cth)],[14])).
% fof(16, plain,![X3]:![X4]:join(X3,X4)=join(X4,X3),inference(variable_rename,[status(thm)],[1])).
% cnf(17,plain,(join(X1,X2)=join(X2,X1)),inference(split_conjunct,[status(thm)],[16])).
% fof(18, plain,![X4]:![X5]:![X6]:join(X4,join(X5,X6))=join(join(X4,X5),X6),inference(variable_rename,[status(thm)],[2])).
% cnf(19,plain,(join(X1,join(X2,X3))=join(join(X1,X2),X3)),inference(split_conjunct,[status(thm)],[18])).
% fof(20, plain,![X3]:![X4]:X3=join(complement(join(complement(X3),complement(X4))),complement(join(complement(X3),X4))),inference(variable_rename,[status(thm)],[3])).
% cnf(21,plain,(X1=join(complement(join(complement(X1),complement(X2))),complement(join(complement(X1),X2)))),inference(split_conjunct,[status(thm)],[20])).
% fof(22, plain,![X3]:![X4]:meet(X3,X4)=complement(join(complement(X3),complement(X4))),inference(variable_rename,[status(thm)],[4])).
% cnf(23,plain,(meet(X1,X2)=complement(join(complement(X1),complement(X2)))),inference(split_conjunct,[status(thm)],[22])).
% fof(24, plain,![X4]:![X5]:![X6]:composition(X4,composition(X5,X6))=composition(composition(X4,X5),X6),inference(variable_rename,[status(thm)],[5])).
% cnf(25,plain,(composition(X1,composition(X2,X3))=composition(composition(X1,X2),X3)),inference(split_conjunct,[status(thm)],[24])).
% fof(26, plain,![X2]:composition(X2,one)=X2,inference(variable_rename,[status(thm)],[6])).
% cnf(27,plain,(composition(X1,one)=X1),inference(split_conjunct,[status(thm)],[26])).
% fof(28, plain,![X4]:![X5]:![X6]:composition(join(X4,X5),X6)=join(composition(X4,X6),composition(X5,X6)),inference(variable_rename,[status(thm)],[7])).
% cnf(29,plain,(composition(join(X1,X2),X3)=join(composition(X1,X3),composition(X2,X3))),inference(split_conjunct,[status(thm)],[28])).
% fof(30, plain,![X3]:![X4]:join(composition(converse(X3),complement(composition(X3,X4))),complement(X4))=complement(X4),inference(variable_rename,[status(thm)],[8])).
% cnf(31,plain,(join(composition(converse(X1),complement(composition(X1,X2))),complement(X2))=complement(X2)),inference(split_conjunct,[status(thm)],[30])).
% fof(32, plain,![X2]:zero=meet(X2,complement(X2)),inference(variable_rename,[status(thm)],[9])).
% cnf(33,plain,(zero=meet(X1,complement(X1))),inference(split_conjunct,[status(thm)],[32])).
% fof(34, plain,![X2]:top=join(X2,complement(X2)),inference(variable_rename,[status(thm)],[10])).
% cnf(35,plain,(top=join(X1,complement(X1))),inference(split_conjunct,[status(thm)],[34])).
% fof(36, plain,![X2]:converse(converse(X2))=X2,inference(variable_rename,[status(thm)],[11])).
% cnf(37,plain,(converse(converse(X1))=X1),inference(split_conjunct,[status(thm)],[36])).
% fof(38, plain,![X3]:![X4]:converse(join(X3,X4))=join(converse(X3),converse(X4)),inference(variable_rename,[status(thm)],[12])).
% cnf(39,plain,(converse(join(X1,X2))=join(converse(X1),converse(X2))),inference(split_conjunct,[status(thm)],[38])).
% fof(40, plain,![X3]:![X4]:converse(composition(X3,X4))=composition(converse(X4),converse(X3)),inference(variable_rename,[status(thm)],[13])).
% cnf(41,plain,(converse(composition(X1,X2))=composition(converse(X2),converse(X1))),inference(split_conjunct,[status(thm)],[40])).
% fof(42, negated_conjecture,?[X1]:?[X2]:?[X3]:(join(X1,one)=one&(~(join(meet(composition(X1,X2),complement(X3)),meet(composition(X1,X2),complement(composition(X1,X3))))=meet(composition(X1,X2),complement(composition(X1,X3))))|~(join(meet(composition(X1,X2),complement(composition(X1,X3))),meet(composition(X1,X2),complement(X3)))=meet(composition(X1,X2),complement(X3))))),inference(fof_nnf,[status(thm)],[15])).
% fof(43, negated_conjecture,?[X4]:?[X5]:?[X6]:(join(X4,one)=one&(~(join(meet(composition(X4,X5),complement(X6)),meet(composition(X4,X5),complement(composition(X4,X6))))=meet(composition(X4,X5),complement(composition(X4,X6))))|~(join(meet(composition(X4,X5),complement(composition(X4,X6))),meet(composition(X4,X5),complement(X6)))=meet(composition(X4,X5),complement(X6))))),inference(variable_rename,[status(thm)],[42])).
% fof(44, negated_conjecture,(join(esk1_0,one)=one&(~(join(meet(composition(esk1_0,esk2_0),complement(esk3_0)),meet(composition(esk1_0,esk2_0),complement(composition(esk1_0,esk3_0))))=meet(composition(esk1_0,esk2_0),complement(composition(esk1_0,esk3_0))))|~(join(meet(composition(esk1_0,esk2_0),complement(composition(esk1_0,esk3_0))),meet(composition(esk1_0,esk2_0),complement(esk3_0)))=meet(composition(esk1_0,esk2_0),complement(esk3_0))))),inference(skolemize,[status(esa)],[43])).
% cnf(45,negated_conjecture,(join(meet(composition(esk1_0,esk2_0),complement(composition(esk1_0,esk3_0))),meet(composition(esk1_0,esk2_0),complement(esk3_0)))!=meet(composition(esk1_0,esk2_0),complement(esk3_0))|join(meet(composition(esk1_0,esk2_0),complement(esk3_0)),meet(composition(esk1_0,esk2_0),complement(composition(esk1_0,esk3_0))))!=meet(composition(esk1_0,esk2_0),complement(composition(esk1_0,esk3_0)))),inference(split_conjunct,[status(thm)],[44])).
% cnf(46,negated_conjecture,(join(esk1_0,one)=one),inference(split_conjunct,[status(thm)],[44])).
% cnf(47,plain,(complement(join(complement(X1),complement(complement(X1))))=zero),inference(rw,[status(thm)],[33,23,theory(equality)]),['unfolding']).
% cnf(48,negated_conjecture,(join(complement(join(complement(composition(esk1_0,esk2_0)),complement(complement(composition(esk1_0,esk3_0))))),complement(join(complement(composition(esk1_0,esk2_0)),complement(complement(esk3_0)))))!=complement(join(complement(composition(esk1_0,esk2_0)),complement(complement(esk3_0))))|join(complement(join(complement(composition(esk1_0,esk2_0)),complement(complement(esk3_0)))),complement(join(complement(composition(esk1_0,esk2_0)),complement(complement(composition(esk1_0,esk3_0))))))!=complement(join(complement(composition(esk1_0,esk2_0)),complement(complement(composition(esk1_0,esk3_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)],[45,23,theory(equality)]),23,theory(equality)]),23,theory(equality)]),23,theory(equality)]),23,theory(equality)]),23,theory(equality)]),['unfolding']).
% cnf(49,negated_conjecture,(join(complement(join(complement(complement(esk3_0)),complement(composition(esk1_0,esk2_0)))),complement(join(complement(composition(esk1_0,esk2_0)),complement(complement(composition(esk1_0,esk3_0))))))!=complement(join(complement(composition(esk1_0,esk2_0)),complement(complement(composition(esk1_0,esk3_0)))))|join(complement(join(complement(composition(esk1_0,esk2_0)),complement(complement(composition(esk1_0,esk3_0))))),complement(join(complement(composition(esk1_0,esk2_0)),complement(complement(esk3_0)))))!=complement(join(complement(composition(esk1_0,esk2_0)),complement(complement(esk3_0))))),inference(rw,[status(thm)],[48,17,theory(equality)])).
% cnf(50,negated_conjecture,(join(complement(join(complement(complement(esk3_0)),complement(composition(esk1_0,esk2_0)))),complement(join(complement(composition(esk1_0,esk2_0)),complement(complement(composition(esk1_0,esk3_0))))))!=complement(join(complement(composition(esk1_0,esk2_0)),complement(complement(composition(esk1_0,esk3_0)))))|join(complement(join(complement(complement(esk3_0)),complement(composition(esk1_0,esk2_0)))),complement(join(complement(composition(esk1_0,esk2_0)),complement(complement(composition(esk1_0,esk3_0))))))!=complement(join(complement(composition(esk1_0,esk2_0)),complement(complement(esk3_0))))),inference(rw,[status(thm)],[inference(rw,[status(thm)],[49,17,theory(equality)]),17,theory(equality)])).
% cnf(51,negated_conjecture,(join(complement(join(complement(complement(esk3_0)),complement(composition(esk1_0,esk2_0)))),complement(join(complement(composition(esk1_0,esk2_0)),complement(complement(composition(esk1_0,esk3_0))))))!=complement(join(complement(composition(esk1_0,esk2_0)),complement(complement(composition(esk1_0,esk3_0)))))|join(complement(join(complement(complement(esk3_0)),complement(composition(esk1_0,esk2_0)))),complement(join(complement(composition(esk1_0,esk2_0)),complement(complement(composition(esk1_0,esk3_0))))))!=complement(join(complement(complement(esk3_0)),complement(composition(esk1_0,esk2_0))))),inference(rw,[status(thm)],[50,17,theory(equality)])).
% cnf(52,negated_conjecture,(join(one,esk1_0)=one),inference(rw,[status(thm)],[46,17,theory(equality)])).
% cnf(54,plain,(converse(top)=join(converse(X1),converse(complement(X1)))),inference(spm,[status(thm)],[39,35,theory(equality)])).
% cnf(61,plain,(converse(X1)=composition(converse(one),converse(X1))),inference(spm,[status(thm)],[41,27,theory(equality)])).
% cnf(63,plain,(complement(top)=zero),inference(rw,[status(thm)],[47,35,theory(equality)])).
% cnf(70,plain,(join(top,X2)=join(X1,join(complement(X1),X2))),inference(spm,[status(thm)],[19,35,theory(equality)])).
% cnf(71,plain,(join(join(X2,X1),X3)=join(X1,join(X2,X3))),inference(spm,[status(thm)],[19,17,theory(equality)])).
% cnf(77,plain,(join(X2,join(X1,X3))=join(X1,join(X2,X3))),inference(rw,[status(thm)],[71,19,theory(equality)])).
% cnf(92,plain,(composition(top,X2)=join(composition(X1,X2),composition(complement(X1),X2))),inference(spm,[status(thm)],[29,35,theory(equality)])).
% cnf(104,plain,(join(complement(X2),composition(converse(X1),complement(composition(X1,X2))))=complement(X2)),inference(rw,[status(thm)],[31,17,theory(equality)])).
% cnf(105,plain,(converse(complement(X1))=join(converse(complement(X1)),converse(composition(converse(X2),complement(composition(X2,X1)))))),inference(spm,[status(thm)],[39,104,theory(equality)])).
% cnf(115,plain,(converse(complement(X1))=join(converse(complement(X1)),composition(converse(complement(composition(X2,X1))),X2))),inference(rw,[status(thm)],[inference(rw,[status(thm)],[105,41,theory(equality)]),37,theory(equality)])).
% cnf(121,plain,(join(complement(join(complement(X1),X2)),complement(join(complement(X1),complement(X2))))=X1),inference(rw,[status(thm)],[21,17,theory(equality)])).
% cnf(125,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)],[121,121,theory(equality)])).
% cnf(139,negated_conjecture,(converse(one)=join(converse(one),converse(esk1_0))),inference(spm,[status(thm)],[39,52,theory(equality)])).
% cnf(140,negated_conjecture,(join(one,X1)=join(one,join(esk1_0,X1))),inference(spm,[status(thm)],[19,52,theory(equality)])).
% cnf(141,negated_conjecture,(composition(one,X1)=join(composition(one,X1),composition(esk1_0,X1))),inference(spm,[status(thm)],[29,52,theory(equality)])).
% cnf(161,plain,(composition(converse(one),X1)=X1),inference(spm,[status(thm)],[61,37,theory(equality)])).
% cnf(167,plain,(one=converse(one)),inference(spm,[status(thm)],[27,161,theory(equality)])).
% cnf(180,plain,(composition(one,X1)=X1),inference(rw,[status(thm)],[161,167,theory(equality)])).
% cnf(184,plain,(join(complement(X1),composition(converse(one),complement(X1)))=complement(X1)),inference(spm,[status(thm)],[104,180,theory(equality)])).
% cnf(188,plain,(join(complement(X1),complement(X1))=complement(X1)),inference(rw,[status(thm)],[inference(rw,[status(thm)],[184,167,theory(equality)]),180,theory(equality)])).
% cnf(189,negated_conjecture,(join(one,converse(esk1_0))=converse(one)),inference(rw,[status(thm)],[139,167,theory(equality)])).
% cnf(190,negated_conjecture,(join(one,converse(esk1_0))=one),inference(rw,[status(thm)],[189,167,theory(equality)])).
% cnf(193,negated_conjecture,(composition(one,X1)=join(composition(one,X1),composition(converse(esk1_0),X1))),inference(spm,[status(thm)],[29,190,theory(equality)])).
% cnf(196,negated_conjecture,(X1=join(composition(one,X1),composition(converse(esk1_0),X1))),inference(rw,[status(thm)],[193,180,theory(equality)])).
% cnf(197,negated_conjecture,(X1=join(X1,composition(converse(esk1_0),X1))),inference(rw,[status(thm)],[196,180,theory(equality)])).
% cnf(206,negated_conjecture,(join(one,top)=join(one,complement(esk1_0))),inference(spm,[status(thm)],[140,35,theory(equality)])).
% cnf(215,negated_conjecture,(join(one,complement(esk1_0))=join(top,one)),inference(rw,[status(thm)],[206,17,theory(equality)])).
% cnf(229,plain,(join(complement(complement(X1)),complement(join(complement(X1),complement(complement(X1)))))=X1),inference(spm,[status(thm)],[121,188,theory(equality)])).
% cnf(231,plain,(join(zero,zero)=zero),inference(spm,[status(thm)],[188,63,theory(equality)])).
% cnf(235,plain,(join(complement(complement(X1)),zero)=X1),inference(rw,[status(thm)],[inference(rw,[status(thm)],[229,35,theory(equality)]),63,theory(equality)])).
% cnf(238,plain,(join(zero,X1)=join(zero,join(zero,X1))),inference(spm,[status(thm)],[19,231,theory(equality)])).
% cnf(244,plain,(join(zero,complement(complement(X1)))=X1),inference(rw,[status(thm)],[235,17,theory(equality)])).
% cnf(282,negated_conjecture,(converse(X1)=join(converse(X1),converse(composition(converse(esk1_0),X1)))),inference(spm,[status(thm)],[39,197,theory(equality)])).
% cnf(288,negated_conjecture,(converse(X1)=join(converse(X1),composition(converse(X1),esk1_0))),inference(rw,[status(thm)],[inference(rw,[status(thm)],[282,41,theory(equality)]),37,theory(equality)])).
% cnf(322,plain,(join(X1,complement(X1))=join(top,complement(X1))),inference(spm,[status(thm)],[70,188,theory(equality)])).
% cnf(334,plain,(top=join(top,complement(X1))),inference(rw,[status(thm)],[322,35,theory(equality)])).
% cnf(361,plain,(join(zero,X1)=X1),inference(spm,[status(thm)],[238,244,theory(equality)])).
% cnf(373,plain,(complement(zero)=top),inference(spm,[status(thm)],[35,361,theory(equality)])).
% cnf(375,plain,(X1=join(X1,zero)),inference(spm,[status(thm)],[17,361,theory(equality)])).
% cnf(376,plain,(converse(X1)=join(converse(zero),converse(X1))),inference(spm,[status(thm)],[39,361,theory(equality)])).
% cnf(384,plain,(complement(complement(X1))=X1),inference(rw,[status(thm)],[244,361,theory(equality)])).
% cnf(404,plain,(join(X1,X1)=X1),inference(spm,[status(thm)],[188,384,theory(equality)])).
% cnf(405,plain,(join(top,X1)=top),inference(spm,[status(thm)],[334,384,theory(equality)])).
% cnf(409,negated_conjecture,(join(complement(join(esk3_0,complement(composition(esk1_0,esk2_0)))),complement(join(complement(composition(esk1_0,esk2_0)),composition(esk1_0,esk3_0))))!=complement(join(complement(composition(esk1_0,esk2_0)),complement(complement(composition(esk1_0,esk3_0)))))|join(complement(join(complement(complement(esk3_0)),complement(composition(esk1_0,esk2_0)))),complement(join(complement(composition(esk1_0,esk2_0)),complement(complement(composition(esk1_0,esk3_0))))))!=complement(join(complement(complement(esk3_0)),complement(composition(esk1_0,esk2_0))))),inference(rw,[status(thm)],[inference(rw,[status(thm)],[51,384,theory(equality)]),384,theory(equality)])).
% cnf(410,negated_conjecture,(join(complement(join(esk3_0,complement(composition(esk1_0,esk2_0)))),complement(join(complement(composition(esk1_0,esk2_0)),composition(esk1_0,esk3_0))))!=complement(join(complement(composition(esk1_0,esk2_0)),composition(esk1_0,esk3_0)))|join(complement(join(complement(complement(esk3_0)),complement(composition(esk1_0,esk2_0)))),complement(join(complement(composition(esk1_0,esk2_0)),complement(complement(composition(esk1_0,esk3_0))))))!=complement(join(complement(complement(esk3_0)),complement(composition(esk1_0,esk2_0))))),inference(rw,[status(thm)],[409,384,theory(equality)])).
% cnf(411,negated_conjecture,(join(complement(join(esk3_0,complement(composition(esk1_0,esk2_0)))),complement(join(complement(composition(esk1_0,esk2_0)),composition(esk1_0,esk3_0))))!=complement(join(complement(composition(esk1_0,esk2_0)),composition(esk1_0,esk3_0)))|join(complement(join(esk3_0,complement(composition(esk1_0,esk2_0)))),complement(join(complement(composition(esk1_0,esk2_0)),composition(esk1_0,esk3_0))))!=complement(join(complement(complement(esk3_0)),complement(composition(esk1_0,esk2_0))))),inference(rw,[status(thm)],[inference(rw,[status(thm)],[410,384,theory(equality)]),384,theory(equality)])).
% cnf(412,negated_conjecture,(join(complement(join(esk3_0,complement(composition(esk1_0,esk2_0)))),complement(join(complement(composition(esk1_0,esk2_0)),composition(esk1_0,esk3_0))))!=complement(join(complement(composition(esk1_0,esk2_0)),composition(esk1_0,esk3_0)))|join(complement(join(esk3_0,complement(composition(esk1_0,esk2_0)))),complement(join(complement(composition(esk1_0,esk2_0)),composition(esk1_0,esk3_0))))!=complement(join(esk3_0,complement(composition(esk1_0,esk2_0))))),inference(rw,[status(thm)],[411,384,theory(equality)])).
% cnf(422,plain,(join(X1,X2)=join(X1,join(X1,X2))),inference(spm,[status(thm)],[19,404,theory(equality)])).
% cnf(443,plain,(composition(X1,X2)=join(composition(X1,X2),composition(zero,X2))),inference(spm,[status(thm)],[29,375,theory(equality)])).
% cnf(465,plain,(top=join(X1,top)),inference(spm,[status(thm)],[17,405,theory(equality)])).
% cnf(470,plain,(join(X1,join(complement(X1),X2))=top),inference(rw,[status(thm)],[70,405,theory(equality)])).
% cnf(472,negated_conjecture,(join(one,complement(esk1_0))=top),inference(rw,[status(thm)],[215,405,theory(equality)])).
% cnf(484,plain,(join(one,converse(complement(one)))=converse(top)),inference(spm,[status(thm)],[54,167,theory(equality)])).
% cnf(506,negated_conjecture,(converse(top)=join(converse(one),converse(complement(esk1_0)))),inference(spm,[status(thm)],[39,472,theory(equality)])).
% cnf(508,negated_conjecture,(composition(top,X1)=join(composition(one,X1),composition(complement(esk1_0),X1))),inference(spm,[status(thm)],[29,472,theory(equality)])).
% cnf(509,negated_conjecture,(converse(top)=join(one,converse(complement(esk1_0)))),inference(rw,[status(thm)],[506,167,theory(equality)])).
% cnf(511,negated_conjecture,(composition(top,X1)=join(X1,composition(complement(esk1_0),X1))),inference(rw,[status(thm)],[508,180,theory(equality)])).
% cnf(525,plain,(join(converse(zero),X1)=X1),inference(spm,[status(thm)],[376,37,theory(equality)])).
% cnf(533,plain,(zero=converse(zero)),inference(spm,[status(thm)],[375,525,theory(equality)])).
% cnf(579,plain,(join(complement(join(complement(X1),X2)),X1)=X1),inference(spm,[status(thm)],[422,121,theory(equality)])).
% cnf(585,plain,(join(X1,join(X2,X1))=join(X2,X1)),inference(spm,[status(thm)],[422,17,theory(equality)])).
% cnf(683,plain,(join(complement(X1),join(X1,X2))=top),inference(spm,[status(thm)],[470,384,theory(equality)])).
% cnf(831,plain,(join(complement(one),converse(top))=top),inference(spm,[status(thm)],[683,484,theory(equality)])).
% cnf(858,plain,(converse(top)=join(converse(complement(one)),converse(converse(top)))),inference(spm,[status(thm)],[39,831,theory(equality)])).
% cnf(866,plain,(converse(top)=top),inference(rw,[status(thm)],[inference(rw,[status(thm)],[858,37,theory(equality)]),465,theory(equality)])).
% cnf(879,negated_conjecture,(join(one,converse(complement(esk1_0)))=top),inference(rw,[status(thm)],[509,866,theory(equality)])).
% cnf(880,plain,(join(converse(X1),converse(complement(X1)))=top),inference(rw,[status(thm)],[54,866,theory(equality)])).
% cnf(897,negated_conjecture,(composition(top,X1)=join(composition(one,X1),composition(converse(complement(esk1_0)),X1))),inference(spm,[status(thm)],[29,879,theory(equality)])).
% cnf(904,negated_conjecture,(composition(top,X1)=join(X1,composition(converse(complement(esk1_0)),X1))),inference(rw,[status(thm)],[897,180,theory(equality)])).
% cnf(1060,plain,(join(X1,converse(complement(converse(X1))))=top),inference(spm,[status(thm)],[880,37,theory(equality)])).
% cnf(1376,plain,(join(X1,complement(join(complement(X1),X2)))=X1),inference(rw,[status(thm)],[579,17,theory(equality)])).
% cnf(1406,plain,(join(X1,complement(join(X2,complement(X1))))=X1),inference(spm,[status(thm)],[1376,585,theory(equality)])).
% cnf(1470,plain,(join(complement(X1),complement(join(X2,X1)))=complement(X1)),inference(spm,[status(thm)],[1406,384,theory(equality)])).
% cnf(1783,negated_conjecture,(composition(top,top)=top),inference(spm,[status(thm)],[405,511,theory(equality)])).
% cnf(1790,negated_conjecture,(join(X1,composition(top,complement(X1)))=top),inference(spm,[status(thm)],[470,511,theory(equality)])).
% cnf(1798,negated_conjecture,(join(X1,composition(top,X1))=composition(top,X1)),inference(spm,[status(thm)],[422,511,theory(equality)])).
% cnf(1812,negated_conjecture,(composition(top,X1)=composition(top,composition(top,X1))),inference(spm,[status(thm)],[25,1783,theory(equality)])).
% cnf(1889,negated_conjecture,(converse(top)=join(converse(X1),converse(composition(top,complement(X1))))),inference(spm,[status(thm)],[39,1790,theory(equality)])).
% cnf(1909,negated_conjecture,(top=join(converse(X1),converse(composition(top,complement(X1))))),inference(rw,[status(thm)],[1889,866,theory(equality)])).
% cnf(1910,negated_conjecture,(top=join(converse(X1),composition(converse(complement(X1)),top))),inference(rw,[status(thm)],[inference(rw,[status(thm)],[1909,41,theory(equality)]),866,theory(equality)])).
% cnf(1970,negated_conjecture,(join(complement(composition(top,X1)),composition(converse(top),complement(composition(top,X1))))=complement(composition(top,X1))),inference(spm,[status(thm)],[104,1812,theory(equality)])).
% cnf(1981,negated_conjecture,(composition(top,complement(composition(top,X1)))=complement(composition(top,X1))),inference(rw,[status(thm)],[inference(rw,[status(thm)],[1970,866,theory(equality)]),1798,theory(equality)])).
% cnf(3390,negated_conjecture,(converse(complement(composition(top,X1)))=composition(converse(complement(composition(top,X1))),converse(top))),inference(spm,[status(thm)],[41,1981,theory(equality)])).
% cnf(3404,negated_conjecture,(converse(complement(composition(top,X1)))=composition(converse(complement(composition(top,X1))),top)),inference(rw,[status(thm)],[3390,866,theory(equality)])).
% cnf(6553,plain,(join(converse(zero),composition(converse(complement(composition(X1,top))),X1))=converse(zero)),inference(spm,[status(thm)],[115,63,theory(equality)])).
% cnf(6595,plain,(composition(converse(complement(composition(X1,top))),X1)=converse(zero)),inference(rw,[status(thm)],[inference(rw,[status(thm)],[6553,533,theory(equality)]),361,theory(equality)])).
% cnf(6596,plain,(composition(converse(complement(composition(X1,top))),X1)=zero),inference(rw,[status(thm)],[6595,533,theory(equality)])).
% cnf(6607,plain,(join(zero,composition(zero,X1))=zero),inference(spm,[status(thm)],[443,6596,theory(equality)])).
% cnf(6623,plain,(composition(zero,X1)=zero),inference(rw,[status(thm)],[6607,361,theory(equality)])).
% cnf(7386,negated_conjecture,(join(X1,composition(X1,esk1_0))=X1),inference(spm,[status(thm)],[288,37,theory(equality)])).
% cnf(7434,negated_conjecture,(join(X1,X2)=join(X1,join(composition(X1,esk1_0),X2))),inference(spm,[status(thm)],[19,7386,theory(equality)])).
% cnf(7440,negated_conjecture,(join(complement(composition(X1,esk1_0)),complement(X1))=complement(composition(X1,esk1_0))),inference(spm,[status(thm)],[1470,7386,theory(equality)])).
% cnf(7444,negated_conjecture,(join(X1,X2)=join(X2,join(X1,composition(X2,esk1_0)))),inference(spm,[status(thm)],[77,7386,theory(equality)])).
% cnf(7910,negated_conjecture,(join(X1,composition(esk1_0,X1))=composition(one,X1)),inference(rw,[status(thm)],[141,180,theory(equality)])).
% cnf(7911,negated_conjecture,(join(X1,composition(esk1_0,X1))=X1),inference(rw,[status(thm)],[7910,180,theory(equality)])).
% cnf(10006,negated_conjecture,(join(X1,composition(top,esk1_0))=join(X1,composition(complement(X1),esk1_0))),inference(spm,[status(thm)],[7434,92,theory(equality)])).
% cnf(11173,negated_conjecture,(join(converse(complement(esk1_0)),composition(top,esk1_0))=join(esk1_0,converse(complement(esk1_0)))),inference(spm,[status(thm)],[7444,904,theory(equality)])).
% cnf(12293,negated_conjecture,(join(composition(top,esk1_0),converse(complement(esk1_0)))=join(esk1_0,converse(complement(esk1_0)))),inference(rw,[status(thm)],[11173,17,theory(equality)])).
% cnf(12294,negated_conjecture,(converse(join(esk1_0,converse(complement(esk1_0))))=join(converse(composition(top,esk1_0)),converse(converse(complement(esk1_0))))),inference(spm,[status(thm)],[39,12293,theory(equality)])).
% cnf(12312,negated_conjecture,(join(converse(esk1_0),complement(esk1_0))=join(converse(composition(top,esk1_0)),converse(converse(complement(esk1_0))))),inference(rw,[status(thm)],[inference(rw,[status(thm)],[12294,39,theory(equality)]),37,theory(equality)])).
% cnf(12313,negated_conjecture,(join(converse(esk1_0),complement(esk1_0))=join(composition(converse(esk1_0),top),complement(esk1_0))),inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[12312,41,theory(equality)]),866,theory(equality)]),37,theory(equality)])).
% cnf(13520,negated_conjecture,(join(complement(esk1_0),composition(converse(esk1_0),top))=join(converse(esk1_0),complement(esk1_0))),inference(rw,[status(thm)],[12313,17,theory(equality)])).
% cnf(13521,negated_conjecture,(join(complement(esk1_0),composition(converse(esk1_0),top))=join(complement(esk1_0),converse(esk1_0))),inference(rw,[status(thm)],[13520,17,theory(equality)])).
% cnf(17772,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)],[125,384,theory(equality)]),77,theory(equality)]),17,theory(equality)]),1470,theory(equality)])).
% cnf(17824,plain,(join(X1,complement(join(X1,complement(X2))))=join(X1,X2)),inference(spm,[status(thm)],[17772,384,theory(equality)])).
% cnf(17987,plain,(join(X1,complement(join(X1,X2)))=join(X1,join(X1,complement(X2)))),inference(spm,[status(thm)],[17824,17824,theory(equality)])).
% cnf(18087,plain,(join(X1,complement(join(X1,X2)))=join(X1,complement(X2))),inference(rw,[status(thm)],[17987,422,theory(equality)])).
% cnf(18222,plain,(join(converse(X1),complement(top))=join(converse(X1),complement(converse(complement(X1))))),inference(spm,[status(thm)],[18087,880,theory(equality)])).
% cnf(18329,plain,(join(X1,complement(top))=join(X1,complement(converse(complement(converse(X1)))))),inference(spm,[status(thm)],[18087,1060,theory(equality)])).
% cnf(18368,plain,(join(X1,complement(join(X2,X1)))=join(X1,complement(X2))),inference(spm,[status(thm)],[18087,17,theory(equality)])).
% cnf(18433,plain,(converse(X1)=join(converse(X1),complement(converse(complement(X1))))),inference(rw,[status(thm)],[inference(rw,[status(thm)],[18222,63,theory(equality)]),375,theory(equality)])).
% cnf(18562,plain,(X1=join(X1,complement(converse(complement(converse(X1)))))),inference(rw,[status(thm)],[inference(rw,[status(thm)],[18329,63,theory(equality)]),375,theory(equality)])).
% cnf(19564,plain,(converse(converse(X1))=join(converse(converse(X1)),converse(complement(converse(complement(X1)))))),inference(spm,[status(thm)],[39,18433,theory(equality)])).
% cnf(19601,plain,(X1=join(converse(converse(X1)),converse(complement(converse(complement(X1)))))),inference(rw,[status(thm)],[19564,37,theory(equality)])).
% cnf(19602,plain,(X1=join(X1,converse(complement(converse(complement(X1)))))),inference(rw,[status(thm)],[19601,37,theory(equality)])).
% cnf(19683,plain,(join(complement(X1),converse(complement(converse(X1))))=complement(X1)),inference(spm,[status(thm)],[19602,384,theory(equality)])).
% cnf(19737,plain,(join(complement(converse(complement(converse(X1)))),complement(complement(X1)))=complement(converse(complement(converse(X1))))),inference(spm,[status(thm)],[1470,19683,theory(equality)])).
% cnf(19781,plain,(X1=complement(converse(complement(converse(X1))))),inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[19737,384,theory(equality)]),17,theory(equality)]),18562,theory(equality)])).
% cnf(19831,plain,(complement(X1)=converse(complement(converse(X1)))),inference(spm,[status(thm)],[384,19781,theory(equality)])).
% cnf(19894,plain,(converse(complement(X1))=complement(converse(X1))),inference(spm,[status(thm)],[37,19831,theory(equality)])).
% cnf(19984,negated_conjecture,(join(converse(X1),composition(complement(converse(X1)),top))=top),inference(rw,[status(thm)],[1910,19894,theory(equality)])).
% cnf(19991,plain,(composition(complement(composition(top,converse(X1))),X1)=zero),inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[6596,19894,theory(equality)]),41,theory(equality)]),866,theory(equality)])).
% cnf(19994,negated_conjecture,(composition(complement(composition(converse(X1),top)),top)=converse(complement(composition(top,X1)))),inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[3404,19894,theory(equality)]),41,theory(equality)]),866,theory(equality)])).
% cnf(19995,negated_conjecture,(composition(complement(composition(converse(X1),top)),top)=complement(composition(converse(X1),top))),inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[19994,19894,theory(equality)]),41,theory(equality)]),866,theory(equality)])).
% cnf(20273,plain,(join(zero,composition(complement(complement(composition(top,converse(X1)))),X1))=composition(top,X1)),inference(spm,[status(thm)],[92,19991,theory(equality)])).
% cnf(20287,plain,(composition(complement(composition(top,X1)),converse(X1))=zero),inference(spm,[status(thm)],[19991,37,theory(equality)])).
% cnf(20305,plain,(composition(top,composition(converse(X1),X1))=composition(top,X1)),inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[20273,384,theory(equality)]),25,theory(equality)]),361,theory(equality)])).
% cnf(20320,plain,(converse(composition(top,X1))=composition(converse(composition(converse(X1),X1)),converse(top))),inference(spm,[status(thm)],[41,20305,theory(equality)])).
% cnf(20352,plain,(composition(converse(X1),top)=composition(converse(composition(converse(X1),X1)),converse(top))),inference(rw,[status(thm)],[inference(rw,[status(thm)],[20320,41,theory(equality)]),866,theory(equality)])).
% cnf(20353,plain,(composition(converse(X1),top)=composition(converse(X1),composition(X1,top))),inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[20352,41,theory(equality)]),37,theory(equality)]),866,theory(equality)]),25,theory(equality)])).
% cnf(20509,negated_conjecture,(join(composition(esk1_0,top),composition(converse(esk1_0),top))=composition(esk1_0,top)),inference(spm,[status(thm)],[197,20353,theory(equality)])).
% cnf(20522,plain,(composition(X1,composition(converse(X1),top))=composition(X1,top)),inference(spm,[status(thm)],[20353,37,theory(equality)])).
% cnf(20565,negated_conjecture,(join(composition(converse(esk1_0),top),composition(esk1_0,top))=composition(converse(esk1_0),top)),inference(spm,[status(thm)],[7911,20522,theory(equality)])).
% cnf(22941,negated_conjecture,(join(X1,complement(join(X1,composition(top,esk1_0))))=join(X1,complement(composition(complement(X1),esk1_0)))),inference(spm,[status(thm)],[18087,10006,theory(equality)])).
% cnf(23006,negated_conjecture,(join(X1,complement(composition(top,esk1_0)))=join(X1,complement(composition(complement(X1),esk1_0)))),inference(rw,[status(thm)],[22941,18087,theory(equality)])).
% cnf(25790,negated_conjecture,(join(X1,composition(complement(X1),top))=top),inference(spm,[status(thm)],[19984,37,theory(equality)])).
% cnf(25895,negated_conjecture,(join(complement(X1),composition(X1,top))=top),inference(spm,[status(thm)],[25790,384,theory(equality)])).
% cnf(29125,negated_conjecture,(composition(complement(composition(X1,top)),top)=complement(composition(X1,top))),inference(spm,[status(thm)],[19995,37,theory(equality)])).
% cnf(32167,negated_conjecture,(composition(esk1_0,top)=composition(converse(esk1_0),top)),inference(rw,[status(thm)],[inference(rw,[status(thm)],[20565,17,theory(equality)]),20509,theory(equality)])).
% cnf(32200,negated_conjecture,(top=join(complement(esk1_0),converse(esk1_0))),inference(rw,[status(thm)],[inference(rw,[status(thm)],[13521,32167,theory(equality)]),25895,theory(equality)])).
% cnf(32323,negated_conjecture,(join(converse(esk1_0),complement(top))=join(converse(esk1_0),complement(complement(esk1_0)))),inference(spm,[status(thm)],[18368,32200,theory(equality)])).
% cnf(32361,negated_conjecture,(converse(esk1_0)=join(converse(esk1_0),complement(complement(esk1_0)))),inference(rw,[status(thm)],[inference(rw,[status(thm)],[32323,63,theory(equality)]),375,theory(equality)])).
% cnf(32362,negated_conjecture,(converse(esk1_0)=join(esk1_0,converse(esk1_0))),inference(rw,[status(thm)],[inference(rw,[status(thm)],[32361,384,theory(equality)]),17,theory(equality)])).
% cnf(32391,negated_conjecture,(converse(converse(esk1_0))=join(converse(esk1_0),converse(converse(esk1_0)))),inference(spm,[status(thm)],[39,32362,theory(equality)])).
% cnf(32414,negated_conjecture,(esk1_0=join(converse(esk1_0),converse(converse(esk1_0)))),inference(rw,[status(thm)],[32391,37,theory(equality)])).
% cnf(32415,negated_conjecture,(esk1_0=converse(esk1_0)),inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[32414,37,theory(equality)]),17,theory(equality)]),32362,theory(equality)])).
% cnf(32576,negated_conjecture,(composition(complement(composition(top,esk1_0)),esk1_0)=zero),inference(spm,[status(thm)],[20287,32415,theory(equality)])).
% cnf(32584,negated_conjecture,(join(complement(X1),composition(esk1_0,complement(composition(esk1_0,X1))))=complement(X1)),inference(spm,[status(thm)],[104,32415,theory(equality)])).
% cnf(32782,negated_conjecture,(composition(zero,X1)=composition(complement(composition(top,esk1_0)),composition(esk1_0,X1))),inference(spm,[status(thm)],[25,32576,theory(equality)])).
% cnf(32809,negated_conjecture,(zero=composition(complement(composition(top,esk1_0)),composition(esk1_0,X1))),inference(rw,[status(thm)],[32782,6623,theory(equality)])).
% cnf(37675,negated_conjecture,(join(complement(composition(esk1_0,X1)),composition(converse(complement(composition(top,esk1_0))),complement(zero)))=complement(composition(esk1_0,X1))),inference(spm,[status(thm)],[104,32809,theory(equality)])).
% cnf(37705,negated_conjecture,(join(complement(composition(esk1_0,X1)),complement(composition(esk1_0,top)))=complement(composition(esk1_0,X1))),inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[37675,19894,theory(equality)]),41,theory(equality)]),32415,theory(equality)]),866,theory(equality)]),373,theory(equality)]),29125,theory(equality)])).
% cnf(44478,negated_conjecture,(join(complement(X1),complement(composition(X1,esk1_0)))=complement(composition(X1,esk1_0))),inference(rw,[status(thm)],[7440,17,theory(equality)])).
% cnf(44548,negated_conjecture,(join(X1,complement(composition(complement(X1),esk1_0)))=complement(composition(complement(X1),esk1_0))),inference(spm,[status(thm)],[44478,384,theory(equality)])).
% cnf(75009,negated_conjecture,(join(X1,complement(composition(top,esk1_0)))=complement(composition(complement(X1),esk1_0))),inference(rw,[status(thm)],[44548,23006,theory(equality)])).
% cnf(75026,negated_conjecture,(complement(join(X1,complement(composition(top,esk1_0))))=composition(complement(X1),esk1_0)),inference(spm,[status(thm)],[384,75009,theory(equality)])).
% cnf(75257,negated_conjecture,(converse(complement(join(X1,complement(composition(top,esk1_0)))))=composition(converse(esk1_0),converse(complement(X1)))),inference(spm,[status(thm)],[41,75026,theory(equality)])).
% cnf(75345,negated_conjecture,(complement(join(converse(X1),complement(composition(esk1_0,top))))=composition(converse(esk1_0),converse(complement(X1)))),inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[75257,19894,theory(equality)]),39,theory(equality)]),19894,theory(equality)]),41,theory(equality)]),32415,theory(equality)]),866,theory(equality)])).
% cnf(75346,negated_conjecture,(complement(join(converse(X1),complement(composition(esk1_0,top))))=composition(esk1_0,complement(converse(X1)))),inference(rw,[status(thm)],[inference(rw,[status(thm)],[75345,32415,theory(equality)]),19894,theory(equality)])).
% cnf(75630,negated_conjecture,(composition(esk1_0,complement(converse(X1)))=complement(join(complement(composition(esk1_0,top)),converse(X1)))),inference(rw,[status(thm)],[75346,17,theory(equality)])).
% cnf(75681,negated_conjecture,(composition(esk1_0,complement(X1))=complement(join(complement(composition(esk1_0,top)),X1))),inference(spm,[status(thm)],[75630,37,theory(equality)])).
% cnf(100090,negated_conjecture,(join(complement(X1),complement(join(complement(composition(esk1_0,top)),composition(esk1_0,X1))))=complement(X1)),inference(rw,[status(thm)],[32584,75681,theory(equality)])).
% cnf(100109,negated_conjecture,(join(complement(complement(join(complement(composition(esk1_0,top)),composition(esk1_0,X1)))),complement(complement(X1)))=complement(complement(join(complement(composition(esk1_0,top)),composition(esk1_0,X1))))),inference(spm,[status(thm)],[1470,100090,theory(equality)])).
% cnf(100228,negated_conjecture,(join(complement(composition(esk1_0,top)),X1)=complement(complement(join(complement(composition(esk1_0,top)),composition(esk1_0,X1))))),inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[100109,384,theory(equality)]),384,theory(equality)]),19,theory(equality)]),17,theory(equality)]),7911,theory(equality)])).
% cnf(100229,negated_conjecture,(join(complement(composition(esk1_0,top)),X1)=join(complement(composition(esk1_0,top)),composition(esk1_0,X1))),inference(rw,[status(thm)],[100228,384,theory(equality)])).
% cnf(103924,negated_conjecture,(join(complement(composition(esk1_0,top)),complement(join(complement(composition(esk1_0,top)),X1)))=join(complement(composition(esk1_0,top)),complement(composition(esk1_0,X1)))),inference(spm,[status(thm)],[18087,100229,theory(equality)])).
% cnf(104001,negated_conjecture,(join(complement(composition(esk1_0,top)),complement(X1))=join(complement(composition(esk1_0,top)),complement(composition(esk1_0,X1)))),inference(rw,[status(thm)],[103924,18087,theory(equality)])).
% cnf(138932,negated_conjecture,(complement(composition(esk1_0,X1))=join(complement(composition(esk1_0,top)),complement(composition(esk1_0,X1)))),inference(spm,[status(thm)],[17,37705,theory(equality)])).
% cnf(306334,negated_conjecture,(join(complement(composition(esk1_0,top)),complement(X1))=complement(composition(esk1_0,X1))),inference(rw,[status(thm)],[138932,104001,theory(equality)])).
% cnf(306742,negated_conjecture,(complement(join(esk3_0,join(complement(esk2_0),complement(composition(esk1_0,top)))))!=complement(join(complement(composition(esk1_0,esk2_0)),composition(esk1_0,esk3_0)))|join(complement(join(esk3_0,complement(composition(esk1_0,esk2_0)))),complement(join(complement(composition(esk1_0,esk2_0)),composition(esk1_0,esk3_0))))!=complement(join(esk3_0,complement(composition(esk1_0,esk2_0))))),inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[412,306334,theory(equality)]),17,theory(equality)]),306334,theory(equality)]),17,theory(equality)]),19,theory(equality)]),100229,theory(equality)]),17,theory(equality)]),77,theory(equality)]),404,theory(equality)])).
% cnf(306743,negated_conjecture,($false|join(complement(join(esk3_0,complement(composition(esk1_0,esk2_0)))),complement(join(complement(composition(esk1_0,esk2_0)),composition(esk1_0,esk3_0))))!=complement(join(esk3_0,complement(composition(esk1_0,esk2_0))))),inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[306742,306334,theory(equality)]),17,theory(equality)]),19,theory(equality)]),100229,theory(equality)]),17,theory(equality)]),77,theory(equality)])).
% cnf(306744,negated_conjecture,($false|complement(join(esk3_0,join(complement(esk2_0),complement(composition(esk1_0,top)))))!=complement(join(esk3_0,complement(composition(esk1_0,esk2_0))))),inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[306743,306334,theory(equality)]),17,theory(equality)]),306334,theory(equality)]),17,theory(equality)]),19,theory(equality)]),100229,theory(equality)]),17,theory(equality)]),77,theory(equality)]),404,theory(equality)])).
% cnf(306745,negated_conjecture,($false|$false),inference(rw,[status(thm)],[inference(rw,[status(thm)],[306744,306334,theory(equality)]),17,theory(equality)])).
% cnf(306746,negated_conjecture,($false),inference(cn,[status(thm)],[306745,theory(equality)])).
% cnf(306747,negated_conjecture,($false),306746,['proof']).
% # SZS output end CNFRefutation
% # Processed clauses : 5585
% # ...of these trivial : 3312
% # ...subsumed : 1224
% # ...remaining for further processing: 1049
% # Other redundant clauses eliminated : 0
% # Clauses deleted for lack of memory : 0
% # Backward-subsumed : 0
% # Backward-rewritten : 454
% # Generated clauses : 151088
% # ...of the previous two non-trivial : 63491
% # Contextual simplify-reflections : 0
% # Paramodulations : 151088
% # Factorizations : 0
% # Equation resolutions : 0
% # Current number of processed clauses: 595
% # Positive orientable unit clauses: 589
% # Positive unorientable unit clauses: 6
% # Negative unit clauses : 0
% # Non-unit-clauses : 0
% # Current number of unprocessed clauses: 39697
% # ...number of literals in the above : 39697
% # Clause-clause subsumption calls (NU) : 0
% # Rec. Clause-clause subsumption calls : 0
% # Unit Clause-clause subsumption calls : 51
% # Rewrite failures with RHS unbound : 71
% # Indexed BW rewrite attempts : 6437
% # Indexed BW rewrite successes : 511
% # Backwards rewriting index: 446 leaves, 2.66+/-3.701 terms/leaf
% # Paramod-from index: 264 leaves, 2.27+/-2.763 terms/leaf
% # Paramod-into index: 424 leaves, 2.61+/-3.612 terms/leaf
% # -------------------------------------------------
% # User time : 3.612 s
% # System time : 0.158 s
% # Total time : 3.770 s
% # Maximum resident set size: 0 pages
% PrfWatch: 7.56 CPU 7.70 WC
% FINAL PrfWatch: 7.56 CPU 7.70 WC
% SZS output end Solution for /tmp/SystemOnTPTP5033/REL030+2.tptp
%
%------------------------------------------------------------------------------