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SRASS---0.1.THM-Sol.s

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SystemOnTSTP
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%------------------------------------------------------------------------------
% File     : SRASS---0.1
% Problem  : REL030+4 : 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 21:49:28 EST 2010

% Result   : Theorem 10.60s
% Output   : Solution 10.60s
% 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/SystemOnTPTP5292/REL030+4.tptp
% Adding relevance values
% Extracting the conjecture
% Sorting axioms by relevance
% Looking for THM       ... 
% found
% SZS status THM for /tmp/SystemOnTPTP5292/REL030+4.tptp
% SZS output start Solution for /tmp/SystemOnTPTP5292/REL030+4.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 5388
% TreeLimitedRun: ----------------------------------------------------------
% PrfWatch: 0.00 CPU 0.01 WC
% PrfWatch: 1.94 CPU 2.02 WC
% PrfWatch: 3.92 CPU 4.02 WC
% # Preprocessing time     : 0.010 s
% # Problem is unsatisfiable (or provable), constructing proof object
% # SZS status Theorem
% PrfWatch: 5.92 CPU 6.03 WC
% PrfWatch: 7.91 CPU 8.03 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]:![X2]:![X3]:join(meet(composition(X1,X2),X3),composition(meet(X1,composition(X3,converse(X2))),meet(X2,composition(converse(X1),X3))))=composition(meet(X1,composition(X3,converse(X2))),meet(X2,composition(converse(X1),X3))),file('/tmp/SRASS.s.p', dedekind_law)).
% fof(12, axiom,![X1]:zero=meet(X1,complement(X1)),file('/tmp/SRASS.s.p', def_zero)).
% fof(13, axiom,![X1]:top=join(X1,complement(X1)),file('/tmp/SRASS.s.p', def_top)).
% fof(14, axiom,![X1]:converse(converse(X1))=X1,file('/tmp/SRASS.s.p', converse_idempotence)).
% fof(15, axiom,![X1]:![X2]:converse(join(X1,X2))=join(converse(X1),converse(X2)),file('/tmp/SRASS.s.p', converse_additivity)).
% fof(16, axiom,![X1]:![X2]:converse(composition(X1,X2))=composition(converse(X2),converse(X1)),file('/tmp/SRASS.s.p', converse_multiplicativity)).
% fof(17, 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(18, 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)],[17])).
% fof(19, plain,![X3]:![X4]:join(X3,X4)=join(X4,X3),inference(variable_rename,[status(thm)],[1])).
% cnf(20,plain,(join(X1,X2)=join(X2,X1)),inference(split_conjunct,[status(thm)],[19])).
% fof(21, plain,![X4]:![X5]:![X6]:join(X4,join(X5,X6))=join(join(X4,X5),X6),inference(variable_rename,[status(thm)],[2])).
% cnf(22,plain,(join(X1,join(X2,X3))=join(join(X1,X2),X3)),inference(split_conjunct,[status(thm)],[21])).
% fof(23, plain,![X3]:![X4]:X3=join(complement(join(complement(X3),complement(X4))),complement(join(complement(X3),X4))),inference(variable_rename,[status(thm)],[3])).
% cnf(24,plain,(X1=join(complement(join(complement(X1),complement(X2))),complement(join(complement(X1),X2)))),inference(split_conjunct,[status(thm)],[23])).
% fof(25, plain,![X3]:![X4]:meet(X3,X4)=complement(join(complement(X3),complement(X4))),inference(variable_rename,[status(thm)],[4])).
% cnf(26,plain,(meet(X1,X2)=complement(join(complement(X1),complement(X2)))),inference(split_conjunct,[status(thm)],[25])).
% fof(27, plain,![X4]:![X5]:![X6]:composition(X4,composition(X5,X6))=composition(composition(X4,X5),X6),inference(variable_rename,[status(thm)],[5])).
% cnf(28,plain,(composition(X1,composition(X2,X3))=composition(composition(X1,X2),X3)),inference(split_conjunct,[status(thm)],[27])).
% fof(29, plain,![X2]:composition(X2,one)=X2,inference(variable_rename,[status(thm)],[6])).
% cnf(30,plain,(composition(X1,one)=X1),inference(split_conjunct,[status(thm)],[29])).
% fof(31, plain,![X4]:![X5]:![X6]:composition(join(X4,X5),X6)=join(composition(X4,X6),composition(X5,X6)),inference(variable_rename,[status(thm)],[7])).
% cnf(32,plain,(composition(join(X1,X2),X3)=join(composition(X1,X3),composition(X2,X3))),inference(split_conjunct,[status(thm)],[31])).
% fof(33, plain,![X3]:![X4]:join(composition(converse(X3),complement(composition(X3,X4))),complement(X4))=complement(X4),inference(variable_rename,[status(thm)],[8])).
% cnf(34,plain,(join(composition(converse(X1),complement(composition(X1,X2))),complement(X2))=complement(X2)),inference(split_conjunct,[status(thm)],[33])).
% fof(35, plain,![X4]:![X5]:![X6]:join(meet(composition(X4,X5),X6),composition(meet(X4,composition(X6,converse(X5))),meet(X5,composition(converse(X4),X6))))=composition(meet(X4,composition(X6,converse(X5))),meet(X5,composition(converse(X4),X6))),inference(variable_rename,[status(thm)],[9])).
% cnf(36,plain,(join(meet(composition(X1,X2),X3),composition(meet(X1,composition(X3,converse(X2))),meet(X2,composition(converse(X1),X3))))=composition(meet(X1,composition(X3,converse(X2))),meet(X2,composition(converse(X1),X3)))),inference(split_conjunct,[status(thm)],[35])).
% fof(41, plain,![X2]:zero=meet(X2,complement(X2)),inference(variable_rename,[status(thm)],[12])).
% cnf(42,plain,(zero=meet(X1,complement(X1))),inference(split_conjunct,[status(thm)],[41])).
% fof(43, plain,![X2]:top=join(X2,complement(X2)),inference(variable_rename,[status(thm)],[13])).
% cnf(44,plain,(top=join(X1,complement(X1))),inference(split_conjunct,[status(thm)],[43])).
% fof(45, plain,![X2]:converse(converse(X2))=X2,inference(variable_rename,[status(thm)],[14])).
% cnf(46,plain,(converse(converse(X1))=X1),inference(split_conjunct,[status(thm)],[45])).
% fof(47, plain,![X3]:![X4]:converse(join(X3,X4))=join(converse(X3),converse(X4)),inference(variable_rename,[status(thm)],[15])).
% cnf(48,plain,(converse(join(X1,X2))=join(converse(X1),converse(X2))),inference(split_conjunct,[status(thm)],[47])).
% fof(49, plain,![X3]:![X4]:converse(composition(X3,X4))=composition(converse(X4),converse(X3)),inference(variable_rename,[status(thm)],[16])).
% cnf(50,plain,(converse(composition(X1,X2))=composition(converse(X2),converse(X1))),inference(split_conjunct,[status(thm)],[49])).
% fof(51, 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)],[18])).
% fof(52, 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)],[51])).
% fof(53, 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)],[52])).
% cnf(54,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)],[53])).
% cnf(55,negated_conjecture,(join(esk1_0,one)=one),inference(split_conjunct,[status(thm)],[53])).
% cnf(56,plain,(complement(join(complement(X1),complement(complement(X1))))=zero),inference(rw,[status(thm)],[42,26,theory(equality)]),['unfolding']).
% cnf(59,plain,(join(complement(join(complement(composition(X1,X2)),complement(X3))),composition(complement(join(complement(X1),complement(composition(X3,converse(X2))))),complement(join(complement(X2),complement(composition(converse(X1),X3))))))=composition(complement(join(complement(X1),complement(composition(X3,converse(X2))))),complement(join(complement(X2),complement(composition(converse(X1),X3)))))),inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[36,26,theory(equality)]),26,theory(equality)]),26,theory(equality)]),26,theory(equality)]),26,theory(equality)]),['unfolding']).
% cnf(60,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)],[54,26,theory(equality)]),26,theory(equality)]),26,theory(equality)]),26,theory(equality)]),26,theory(equality)]),26,theory(equality)]),['unfolding']).
% cnf(61,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)],[60,20,theory(equality)])).
% cnf(62,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)],[61,20,theory(equality)]),20,theory(equality)])).
% cnf(63,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)],[62,20,theory(equality)])).
% cnf(64,negated_conjecture,(join(one,esk1_0)=one),inference(rw,[status(thm)],[55,20,theory(equality)])).
% cnf(66,plain,(converse(top)=join(converse(X1),converse(complement(X1)))),inference(spm,[status(thm)],[48,44,theory(equality)])).
% cnf(73,plain,(converse(X1)=composition(converse(one),converse(X1))),inference(spm,[status(thm)],[50,30,theory(equality)])).
% cnf(75,plain,(complement(top)=zero),inference(rw,[status(thm)],[56,44,theory(equality)])).
% cnf(82,plain,(join(top,X2)=join(X1,join(complement(X1),X2))),inference(spm,[status(thm)],[22,44,theory(equality)])).
% cnf(83,plain,(join(join(X2,X1),X3)=join(X1,join(X2,X3))),inference(spm,[status(thm)],[22,20,theory(equality)])).
% cnf(89,plain,(join(X2,join(X1,X3))=join(X1,join(X2,X3))),inference(rw,[status(thm)],[83,22,theory(equality)])).
% cnf(104,plain,(composition(top,X2)=join(composition(X1,X2),composition(complement(X1),X2))),inference(spm,[status(thm)],[32,44,theory(equality)])).
% cnf(116,plain,(join(complement(X2),composition(converse(X1),complement(composition(X1,X2))))=complement(X2)),inference(rw,[status(thm)],[34,20,theory(equality)])).
% cnf(117,plain,(converse(complement(X1))=join(converse(complement(X1)),converse(composition(converse(X2),complement(composition(X2,X1)))))),inference(spm,[status(thm)],[48,116,theory(equality)])).
% cnf(127,plain,(converse(complement(X1))=join(converse(complement(X1)),composition(converse(complement(composition(X2,X1))),X2))),inference(rw,[status(thm)],[inference(rw,[status(thm)],[117,50,theory(equality)]),46,theory(equality)])).
% cnf(133,plain,(join(complement(join(complement(X1),X2)),complement(join(complement(X1),complement(X2))))=X1),inference(rw,[status(thm)],[24,20,theory(equality)])).
% cnf(137,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)],[133,133,theory(equality)])).
% cnf(255,negated_conjecture,(converse(one)=join(converse(one),converse(esk1_0))),inference(spm,[status(thm)],[48,64,theory(equality)])).
% cnf(256,negated_conjecture,(join(one,X1)=join(one,join(esk1_0,X1))),inference(spm,[status(thm)],[22,64,theory(equality)])).
% cnf(257,negated_conjecture,(composition(one,X1)=join(composition(one,X1),composition(esk1_0,X1))),inference(spm,[status(thm)],[32,64,theory(equality)])).
% cnf(308,plain,(composition(converse(one),X1)=X1),inference(spm,[status(thm)],[73,46,theory(equality)])).
% cnf(322,plain,(one=converse(one)),inference(spm,[status(thm)],[30,308,theory(equality)])).
% cnf(351,plain,(composition(one,X1)=X1),inference(rw,[status(thm)],[308,322,theory(equality)])).
% cnf(352,negated_conjecture,(join(one,converse(esk1_0))=converse(one)),inference(rw,[status(thm)],[255,322,theory(equality)])).
% cnf(353,negated_conjecture,(join(one,converse(esk1_0))=one),inference(rw,[status(thm)],[352,322,theory(equality)])).
% cnf(367,plain,(join(complement(X1),composition(converse(one),complement(X1)))=complement(X1)),inference(spm,[status(thm)],[116,351,theory(equality)])).
% cnf(379,plain,(join(complement(X1),complement(X1))=complement(X1)),inference(rw,[status(thm)],[inference(rw,[status(thm)],[367,322,theory(equality)]),351,theory(equality)])).
% cnf(382,negated_conjecture,(composition(one,X1)=join(composition(one,X1),composition(converse(esk1_0),X1))),inference(spm,[status(thm)],[32,353,theory(equality)])).
% cnf(385,negated_conjecture,(X1=join(composition(one,X1),composition(converse(esk1_0),X1))),inference(rw,[status(thm)],[382,351,theory(equality)])).
% cnf(386,negated_conjecture,(X1=join(X1,composition(converse(esk1_0),X1))),inference(rw,[status(thm)],[385,351,theory(equality)])).
% cnf(392,plain,(join(complement(complement(X1)),complement(join(complement(X1),complement(complement(X1)))))=X1),inference(spm,[status(thm)],[133,379,theory(equality)])).
% cnf(401,plain,(join(zero,zero)=zero),inference(spm,[status(thm)],[379,75,theory(equality)])).
% cnf(405,plain,(join(complement(complement(X1)),zero)=X1),inference(rw,[status(thm)],[inference(rw,[status(thm)],[392,44,theory(equality)]),75,theory(equality)])).
% cnf(417,plain,(join(zero,X1)=join(zero,join(zero,X1))),inference(spm,[status(thm)],[22,401,theory(equality)])).
% cnf(423,plain,(join(zero,complement(complement(X1)))=X1),inference(rw,[status(thm)],[405,20,theory(equality)])).
% cnf(441,negated_conjecture,(join(one,top)=join(one,complement(esk1_0))),inference(spm,[status(thm)],[256,44,theory(equality)])).
% cnf(450,negated_conjecture,(join(one,complement(esk1_0))=join(top,one)),inference(rw,[status(thm)],[441,20,theory(equality)])).
% cnf(472,negated_conjecture,(join(one,esk1_0)=join(one,composition(converse(esk1_0),esk1_0))),inference(spm,[status(thm)],[256,386,theory(equality)])).
% cnf(476,negated_conjecture,(converse(X1)=join(converse(X1),converse(composition(converse(esk1_0),X1)))),inference(spm,[status(thm)],[48,386,theory(equality)])).
% cnf(480,negated_conjecture,(one=join(one,composition(converse(esk1_0),esk1_0))),inference(rw,[status(thm)],[472,64,theory(equality)])).
% cnf(482,negated_conjecture,(converse(X1)=join(converse(X1),composition(converse(X1),esk1_0))),inference(rw,[status(thm)],[inference(rw,[status(thm)],[476,50,theory(equality)]),46,theory(equality)])).
% cnf(509,plain,(join(X1,complement(X1))=join(top,complement(X1))),inference(spm,[status(thm)],[82,379,theory(equality)])).
% cnf(523,plain,(top=join(top,complement(X1))),inference(rw,[status(thm)],[509,44,theory(equality)])).
% cnf(547,plain,(join(zero,X1)=X1),inference(spm,[status(thm)],[417,423,theory(equality)])).
% cnf(558,plain,(complement(zero)=top),inference(spm,[status(thm)],[44,547,theory(equality)])).
% cnf(560,plain,(X1=join(X1,zero)),inference(spm,[status(thm)],[20,547,theory(equality)])).
% cnf(561,plain,(converse(X1)=join(converse(zero),converse(X1))),inference(spm,[status(thm)],[48,547,theory(equality)])).
% cnf(569,plain,(complement(complement(X1))=X1),inference(rw,[status(thm)],[423,547,theory(equality)])).
% cnf(609,plain,(join(X1,X1)=X1),inference(spm,[status(thm)],[379,569,theory(equality)])).
% cnf(610,plain,(join(top,X1)=top),inference(spm,[status(thm)],[523,569,theory(equality)])).
% cnf(619,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)],[63,569,theory(equality)]),569,theory(equality)])).
% cnf(620,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)],[619,569,theory(equality)])).
% cnf(621,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)],[620,569,theory(equality)]),569,theory(equality)])).
% cnf(622,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)],[621,569,theory(equality)])).
% cnf(639,plain,(join(X1,X2)=join(X1,join(X1,X2))),inference(spm,[status(thm)],[22,609,theory(equality)])).
% cnf(695,plain,(composition(X1,X2)=join(composition(X1,X2),composition(zero,X2))),inference(spm,[status(thm)],[32,560,theory(equality)])).
% cnf(708,plain,(top=join(X1,top)),inference(spm,[status(thm)],[20,610,theory(equality)])).
% cnf(713,plain,(join(X1,join(complement(X1),X2))=top),inference(rw,[status(thm)],[82,610,theory(equality)])).
% cnf(715,negated_conjecture,(join(one,complement(esk1_0))=top),inference(rw,[status(thm)],[450,610,theory(equality)])).
% cnf(726,plain,(join(one,converse(complement(one)))=converse(top)),inference(spm,[status(thm)],[66,322,theory(equality)])).
% cnf(750,negated_conjecture,(composition(top,X1)=join(composition(one,X1),composition(complement(esk1_0),X1))),inference(spm,[status(thm)],[32,715,theory(equality)])).
% cnf(753,negated_conjecture,(composition(top,X1)=join(X1,composition(complement(esk1_0),X1))),inference(rw,[status(thm)],[750,351,theory(equality)])).
% cnf(778,plain,(join(converse(zero),X1)=X1),inference(spm,[status(thm)],[561,46,theory(equality)])).
% cnf(785,plain,(zero=converse(zero)),inference(spm,[status(thm)],[560,778,theory(equality)])).
% cnf(846,plain,(join(complement(join(complement(X1),X2)),X1)=X1),inference(spm,[status(thm)],[639,133,theory(equality)])).
% cnf(854,plain,(join(X1,join(X2,X1))=join(X2,X1)),inference(spm,[status(thm)],[639,20,theory(equality)])).
% cnf(955,plain,(join(complement(X1),join(X1,X2))=top),inference(spm,[status(thm)],[713,569,theory(equality)])).
% cnf(1116,plain,(join(complement(one),converse(top))=top),inference(spm,[status(thm)],[955,726,theory(equality)])).
% cnf(1143,plain,(converse(top)=join(converse(complement(one)),converse(converse(top)))),inference(spm,[status(thm)],[48,1116,theory(equality)])).
% cnf(1151,plain,(converse(top)=top),inference(rw,[status(thm)],[inference(rw,[status(thm)],[1143,46,theory(equality)]),708,theory(equality)])).
% cnf(1169,plain,(join(converse(X1),converse(complement(X1)))=top),inference(rw,[status(thm)],[66,1151,theory(equality)])).
% cnf(1537,plain,(join(X1,converse(complement(converse(X1))))=top),inference(spm,[status(thm)],[1169,46,theory(equality)])).
% cnf(1713,plain,(join(X1,complement(join(complement(X1),X2)))=X1),inference(rw,[status(thm)],[846,20,theory(equality)])).
% cnf(1746,plain,(join(X1,complement(join(X2,complement(X1))))=X1),inference(spm,[status(thm)],[1713,854,theory(equality)])).
% cnf(1823,plain,(join(complement(X1),complement(join(X2,X1)))=complement(X1)),inference(spm,[status(thm)],[1746,569,theory(equality)])).
% cnf(2181,negated_conjecture,(composition(top,top)=top),inference(spm,[status(thm)],[610,753,theory(equality)])).
% cnf(2196,negated_conjecture,(join(X1,composition(top,X1))=composition(top,X1)),inference(spm,[status(thm)],[639,753,theory(equality)])).
% cnf(2210,negated_conjecture,(composition(top,X1)=composition(top,composition(top,X1))),inference(spm,[status(thm)],[28,2181,theory(equality)])).
% cnf(2423,negated_conjecture,(join(complement(composition(top,X1)),composition(converse(top),complement(composition(top,X1))))=complement(composition(top,X1))),inference(spm,[status(thm)],[116,2210,theory(equality)])).
% cnf(2440,negated_conjecture,(composition(top,complement(composition(top,X1)))=complement(composition(top,X1))),inference(rw,[status(thm)],[inference(rw,[status(thm)],[2423,1151,theory(equality)]),2196,theory(equality)])).
% cnf(3570,negated_conjecture,(join(complement(composition(converse(esk1_0),esk1_0)),complement(one))=complement(composition(converse(esk1_0),esk1_0))),inference(spm,[status(thm)],[1823,480,theory(equality)])).
% cnf(4364,negated_conjecture,(converse(complement(composition(top,X1)))=composition(converse(complement(composition(top,X1))),converse(top))),inference(spm,[status(thm)],[50,2440,theory(equality)])).
% cnf(4381,negated_conjecture,(converse(complement(composition(top,X1)))=composition(converse(complement(composition(top,X1))),top)),inference(rw,[status(thm)],[4364,1151,theory(equality)])).
% cnf(7269,plain,(join(converse(zero),composition(converse(complement(composition(X1,top))),X1))=converse(zero)),inference(spm,[status(thm)],[127,75,theory(equality)])).
% cnf(7311,plain,(composition(converse(complement(composition(X1,top))),X1)=converse(zero)),inference(rw,[status(thm)],[inference(rw,[status(thm)],[7269,785,theory(equality)]),547,theory(equality)])).
% cnf(7312,plain,(composition(converse(complement(composition(X1,top))),X1)=zero),inference(rw,[status(thm)],[7311,785,theory(equality)])).
% cnf(7328,plain,(join(zero,composition(zero,X1))=zero),inference(spm,[status(thm)],[695,7312,theory(equality)])).
% cnf(7355,plain,(composition(zero,X1)=zero),inference(rw,[status(thm)],[7328,547,theory(equality)])).
% cnf(8207,negated_conjecture,(join(X1,composition(X1,esk1_0))=X1),inference(spm,[status(thm)],[482,46,theory(equality)])).
% cnf(8255,negated_conjecture,(join(X1,X2)=join(X1,join(composition(X1,esk1_0),X2))),inference(spm,[status(thm)],[22,8207,theory(equality)])).
% cnf(8262,negated_conjecture,(join(complement(composition(X1,esk1_0)),complement(X1))=complement(composition(X1,esk1_0))),inference(spm,[status(thm)],[1823,8207,theory(equality)])).
% cnf(8745,negated_conjecture,(join(X1,composition(esk1_0,X1))=composition(one,X1)),inference(rw,[status(thm)],[257,351,theory(equality)])).
% cnf(8746,negated_conjecture,(join(X1,composition(esk1_0,X1))=X1),inference(rw,[status(thm)],[8745,351,theory(equality)])).
% cnf(8774,negated_conjecture,(join(X1,X2)=join(X2,join(X1,composition(esk1_0,X2)))),inference(spm,[status(thm)],[89,8746,theory(equality)])).
% cnf(8844,negated_conjecture,(join(complement(one),complement(composition(converse(esk1_0),esk1_0)))=complement(composition(converse(esk1_0),esk1_0))),inference(rw,[status(thm)],[3570,20,theory(equality)])).
% cnf(8868,negated_conjecture,(join(complement(join(complement(composition(esk1_0,one)),complement(esk1_0))),composition(complement(join(complement(esk1_0),complement(composition(esk1_0,converse(one))))),complement(complement(composition(converse(esk1_0),esk1_0)))))=composition(complement(join(complement(esk1_0),complement(composition(esk1_0,converse(one))))),complement(complement(composition(converse(esk1_0),esk1_0))))),inference(spm,[status(thm)],[59,8844,theory(equality)])).
% cnf(8887,negated_conjecture,(join(esk1_0,composition(esk1_0,composition(converse(esk1_0),esk1_0)))=composition(complement(join(complement(esk1_0),complement(composition(esk1_0,converse(one))))),complement(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)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[8868,30,theory(equality)]),609,theory(equality)]),569,theory(equality)]),322,theory(equality)]),30,theory(equality)]),609,theory(equality)]),569,theory(equality)]),569,theory(equality)])).
% cnf(8888,negated_conjecture,(join(esk1_0,composition(esk1_0,composition(converse(esk1_0),esk1_0)))=composition(esk1_0,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)],[8887,322,theory(equality)]),30,theory(equality)]),609,theory(equality)]),569,theory(equality)]),569,theory(equality)])).
% cnf(10866,negated_conjecture,(join(X1,composition(top,esk1_0))=join(X1,composition(complement(X1),esk1_0))),inference(spm,[status(thm)],[8255,104,theory(equality)])).
% cnf(18326,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)],[137,569,theory(equality)]),89,theory(equality)]),20,theory(equality)]),1823,theory(equality)])).
% cnf(18381,plain,(join(X1,complement(join(X1,complement(X2))))=join(X1,X2)),inference(spm,[status(thm)],[18326,569,theory(equality)])).
% cnf(18635,plain,(join(X1,complement(join(X1,X2)))=join(X1,join(X1,complement(X2)))),inference(spm,[status(thm)],[18381,18381,theory(equality)])).
% cnf(18743,plain,(join(X1,complement(join(X1,X2)))=join(X1,complement(X2))),inference(rw,[status(thm)],[18635,639,theory(equality)])).
% cnf(18887,plain,(join(converse(X1),complement(top))=join(converse(X1),complement(converse(complement(X1))))),inference(spm,[status(thm)],[18743,1169,theory(equality)])).
% cnf(18990,plain,(join(X1,complement(top))=join(X1,complement(converse(complement(converse(X1)))))),inference(spm,[status(thm)],[18743,1537,theory(equality)])).
% cnf(19098,plain,(converse(X1)=join(converse(X1),complement(converse(complement(X1))))),inference(rw,[status(thm)],[inference(rw,[status(thm)],[18887,75,theory(equality)]),560,theory(equality)])).
% cnf(19225,plain,(X1=join(X1,complement(converse(complement(converse(X1)))))),inference(rw,[status(thm)],[inference(rw,[status(thm)],[18990,75,theory(equality)]),560,theory(equality)])).
% cnf(20222,plain,(converse(converse(X1))=join(converse(converse(X1)),converse(complement(converse(complement(X1)))))),inference(spm,[status(thm)],[48,19098,theory(equality)])).
% cnf(20259,plain,(X1=join(converse(converse(X1)),converse(complement(converse(complement(X1)))))),inference(rw,[status(thm)],[20222,46,theory(equality)])).
% cnf(20260,plain,(X1=join(X1,converse(complement(converse(complement(X1)))))),inference(rw,[status(thm)],[20259,46,theory(equality)])).
% cnf(20339,plain,(join(complement(X1),converse(complement(converse(X1))))=complement(X1)),inference(spm,[status(thm)],[20260,569,theory(equality)])).
% cnf(20391,plain,(join(complement(converse(complement(converse(X1)))),complement(complement(X1)))=complement(converse(complement(converse(X1))))),inference(spm,[status(thm)],[1823,20339,theory(equality)])).
% cnf(20431,plain,(X1=complement(converse(complement(converse(X1))))),inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[20391,569,theory(equality)]),20,theory(equality)]),19225,theory(equality)])).
% cnf(20478,plain,(complement(X1)=converse(complement(converse(X1)))),inference(spm,[status(thm)],[569,20431,theory(equality)])).
% cnf(20551,plain,(converse(complement(X1))=complement(converse(X1))),inference(spm,[status(thm)],[46,20478,theory(equality)])).
% cnf(20652,plain,(composition(complement(composition(top,converse(X1))),X1)=zero),inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[7312,20551,theory(equality)]),50,theory(equality)]),1151,theory(equality)])).
% cnf(20655,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)],[4381,20551,theory(equality)]),50,theory(equality)]),1151,theory(equality)])).
% cnf(20656,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)],[20655,20551,theory(equality)]),50,theory(equality)]),1151,theory(equality)])).
% cnf(23569,negated_conjecture,(join(composition(converse(esk1_0),esk1_0),composition(esk1_0,composition(converse(esk1_0),esk1_0)))=join(esk1_0,composition(converse(esk1_0),esk1_0))),inference(spm,[status(thm)],[8774,8888,theory(equality)])).
% cnf(23579,negated_conjecture,(composition(converse(esk1_0),esk1_0)=join(esk1_0,composition(converse(esk1_0),esk1_0))),inference(rw,[status(thm)],[23569,8746,theory(equality)])).
% cnf(23580,negated_conjecture,(composition(converse(esk1_0),esk1_0)=esk1_0),inference(rw,[status(thm)],[23579,386,theory(equality)])).
% cnf(23581,negated_conjecture,(converse(esk1_0)=composition(converse(esk1_0),converse(converse(esk1_0)))),inference(spm,[status(thm)],[50,23580,theory(equality)])).
% cnf(23612,negated_conjecture,(converse(esk1_0)=esk1_0),inference(rw,[status(thm)],[inference(rw,[status(thm)],[23581,46,theory(equality)]),23580,theory(equality)])).
% cnf(23640,negated_conjecture,(composition(complement(composition(top,esk1_0)),esk1_0)=zero),inference(spm,[status(thm)],[20652,23612,theory(equality)])).
% cnf(23645,negated_conjecture,(join(complement(X1),composition(esk1_0,complement(composition(esk1_0,X1))))=complement(X1)),inference(spm,[status(thm)],[116,23612,theory(equality)])).
% cnf(23871,negated_conjecture,(composition(zero,X1)=composition(complement(composition(top,esk1_0)),composition(esk1_0,X1))),inference(spm,[status(thm)],[28,23640,theory(equality)])).
% cnf(23895,negated_conjecture,(zero=composition(complement(composition(top,esk1_0)),composition(esk1_0,X1))),inference(rw,[status(thm)],[23871,7355,theory(equality)])).
% cnf(25939,negated_conjecture,(join(X1,complement(join(X1,composition(top,esk1_0))))=join(X1,complement(composition(complement(X1),esk1_0)))),inference(spm,[status(thm)],[18743,10866,theory(equality)])).
% cnf(26001,negated_conjecture,(join(X1,complement(composition(top,esk1_0)))=join(X1,complement(composition(complement(X1),esk1_0)))),inference(rw,[status(thm)],[25939,18743,theory(equality)])).
% cnf(27769,negated_conjecture,(composition(complement(composition(X1,top)),top)=complement(composition(X1,top))),inference(spm,[status(thm)],[20656,46,theory(equality)])).
% cnf(31262,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)],[116,23895,theory(equality)])).
% cnf(31307,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)],[31262,20551,theory(equality)]),50,theory(equality)]),23612,theory(equality)]),1151,theory(equality)]),558,theory(equality)]),27769,theory(equality)])).
% cnf(32672,negated_conjecture,(join(complement(X1),complement(composition(X1,esk1_0)))=complement(composition(X1,esk1_0))),inference(rw,[status(thm)],[8262,20,theory(equality)])).
% cnf(32744,negated_conjecture,(join(X1,complement(composition(complement(X1),esk1_0)))=complement(composition(complement(X1),esk1_0))),inference(spm,[status(thm)],[32672,569,theory(equality)])).
% cnf(58603,negated_conjecture,(join(X1,complement(composition(top,esk1_0)))=complement(composition(complement(X1),esk1_0))),inference(rw,[status(thm)],[32744,26001,theory(equality)])).
% cnf(58628,negated_conjecture,(complement(join(X1,complement(composition(top,esk1_0))))=composition(complement(X1),esk1_0)),inference(spm,[status(thm)],[569,58603,theory(equality)])).
% cnf(58962,negated_conjecture,(converse(complement(join(X1,complement(composition(top,esk1_0)))))=composition(converse(esk1_0),converse(complement(X1)))),inference(spm,[status(thm)],[50,58628,theory(equality)])).
% cnf(59053,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)],[58962,20551,theory(equality)]),48,theory(equality)]),20551,theory(equality)]),50,theory(equality)]),23612,theory(equality)]),1151,theory(equality)])).
% cnf(59054,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)],[59053,23612,theory(equality)]),20551,theory(equality)])).
% cnf(59907,negated_conjecture,(composition(esk1_0,complement(converse(X1)))=complement(join(complement(composition(esk1_0,top)),converse(X1)))),inference(rw,[status(thm)],[59054,20,theory(equality)])).
% cnf(59969,negated_conjecture,(composition(esk1_0,complement(X1))=complement(join(complement(composition(esk1_0,top)),X1))),inference(spm,[status(thm)],[59907,46,theory(equality)])).
% cnf(102462,negated_conjecture,(join(complement(X1),complement(join(complement(composition(esk1_0,top)),composition(esk1_0,X1))))=complement(X1)),inference(rw,[status(thm)],[23645,59969,theory(equality)])).
% cnf(102476,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)],[1823,102462,theory(equality)])).
% cnf(102616,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)],[102476,569,theory(equality)]),569,theory(equality)]),22,theory(equality)]),20,theory(equality)]),8746,theory(equality)])).
% cnf(102617,negated_conjecture,(join(complement(composition(esk1_0,top)),X1)=join(complement(composition(esk1_0,top)),composition(esk1_0,X1))),inference(rw,[status(thm)],[102616,569,theory(equality)])).
% cnf(102794,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)],[18743,102617,theory(equality)])).
% cnf(102866,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)],[102794,18743,theory(equality)])).
% cnf(148991,negated_conjecture,(complement(composition(esk1_0,X1))=join(complement(composition(esk1_0,top)),complement(composition(esk1_0,X1)))),inference(spm,[status(thm)],[20,31307,theory(equality)])).
% cnf(303447,negated_conjecture,(join(complement(composition(esk1_0,top)),complement(X1))=complement(composition(esk1_0,X1))),inference(rw,[status(thm)],[148991,102866,theory(equality)])).
% cnf(304110,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)],[622,303447,theory(equality)]),20,theory(equality)]),303447,theory(equality)]),20,theory(equality)]),22,theory(equality)]),102617,theory(equality)]),20,theory(equality)]),89,theory(equality)]),609,theory(equality)])).
% cnf(304111,negated_conjecture,($false|join(complement(join(esk3_0,complement(composition(esk1_0,esk2_0)))),complement(join(complement(composition(esk1_0,esk2_0)),composition(esk1_0,esk3_0))))!=complement(join(esk3_0,complement(composition(esk1_0,esk2_0))))),inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[304110,303447,theory(equality)]),20,theory(equality)]),22,theory(equality)]),102617,theory(equality)]),20,theory(equality)]),89,theory(equality)])).
% cnf(304112,negated_conjecture,($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)],[304111,303447,theory(equality)]),20,theory(equality)]),303447,theory(equality)]),20,theory(equality)]),22,theory(equality)]),102617,theory(equality)]),20,theory(equality)]),89,theory(equality)]),609,theory(equality)])).
% cnf(304113,negated_conjecture,($false|$false),inference(rw,[status(thm)],[inference(rw,[status(thm)],[304112,303447,theory(equality)]),20,theory(equality)])).
% cnf(304114,negated_conjecture,($false),inference(cn,[status(thm)],[304113,theory(equality)])).
% cnf(304115,negated_conjecture,($false),304114,['proof']).
% # SZS output end CNFRefutation
% # Processed clauses                  : 4675
% # ...of these trivial                : 2628
% # ...subsumed                        : 1102
% # ...remaining for further processing: 945
% # Other redundant clauses eliminated : 0
% # Clauses deleted for lack of memory : 0
% # Backward-subsumed                  : 0
% # Backward-rewritten                 : 317
% # Generated clauses                  : 140418
% # ...of the previous two non-trivial : 65557
% # Contextual simplify-reflections    : 0
% # Paramodulations                    : 140418
% # Factorizations                     : 0
% # Equation resolutions               : 0
% # Current number of processed clauses: 628
% #    Positive orientable unit clauses: 623
% #    Positive unorientable unit clauses: 5
% #    Negative unit clauses           : 0
% #    Non-unit-clauses                : 0
% # Current number of unprocessed clauses: 50747
% # ...number of literals in the above : 50747
% # Clause-clause subsumption calls (NU) : 0
% # Rec. Clause-clause subsumption calls : 0
% # Unit Clause-clause subsumption calls : 56
% # Rewrite failures with RHS unbound  : 0
% # Indexed BW rewrite attempts        : 7419
% # Indexed BW rewrite successes       : 367
% # Backwards rewriting index:   475 leaves,   3.28+/-6.591 terms/leaf
% # Paramod-from index:          255 leaves,   2.47+/-3.508 terms/leaf
% # Paramod-into index:          455 leaves,   3.28+/-6.622 terms/leaf
% # -------------------------------------------------
% # User time              : 4.713 s
% # System time            : 0.221 s
% # Total time             : 4.934 s
% # Maximum resident set size: 0 pages
% PrfWatch: 9.76 CPU 10.04 WC
% PrfWatch: 9.77 CPU 10.06 WC
% FINAL PrfWatch: 9.77 CPU 10.06 WC
% SZS output end Solution for /tmp/SystemOnTPTP5292/REL030+4.tptp
% 
%------------------------------------------------------------------------------