TSTP Solution File: REL028+2 by SRASS---0.1
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- Process Solution
%------------------------------------------------------------------------------
% File : SRASS---0.1
% Problem : REL028+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 21:48:18 EST 2010
% Result : Theorem 8.12s
% Output : Solution 8.12s
% 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/SystemOnTPTP4774/REL028+2.tptp
% Adding relevance values
% Extracting the conjecture
% Sorting axioms by relevance
% Looking for THM ...
% found
% SZS status THM for /tmp/SystemOnTPTP4774/REL028+2.tptp
% SZS output start Solution for /tmp/SystemOnTPTP4774/REL028+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 4870
% TreeLimitedRun: ----------------------------------------------------------
% PrfWatch: 0.00 CPU 0.01 WC
% PrfWatch: 1.93 CPU 2.02 WC
% # Preprocessing time : 0.011 s
% # Problem is unsatisfiable (or provable), constructing proof object
% # SZS status Theorem
% PrfWatch: 3.91 CPU 4.02 WC
% PrfWatch: 5.91 CPU 6.03 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]:![X3]:composition(X1,composition(X2,X3))=composition(composition(X1,X2),X3),file('/tmp/SRASS.s.p', composition_associativity)).
% fof(4, axiom,![X1]:composition(X1,one)=X1,file('/tmp/SRASS.s.p', composition_identity)).
% fof(5, axiom,![X1]:![X2]:![X3]:composition(join(X1,X2),X3)=join(composition(X1,X3),composition(X2,X3)),file('/tmp/SRASS.s.p', composition_distributivity)).
% fof(6, 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(7, axiom,![X1]:![X2]:![X3]:join(meet(composition(X1,X2),X3),meet(composition(X1,meet(X2,composition(converse(X1),X3))),X3))=meet(composition(X1,meet(X2,composition(converse(X1),X3))),X3),file('/tmp/SRASS.s.p', modular_law_1)).
% fof(9, axiom,![X1]:![X2]:meet(X1,X2)=complement(join(complement(X1),complement(X2))),file('/tmp/SRASS.s.p', maddux4_definiton_of_meet)).
% fof(10, 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(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, axiom,![X1]:![X2]:join(composition(converse(X1),complement(composition(X1,X2))),complement(X2))=complement(X2),file('/tmp/SRASS.s.p', converse_cancellativity)).
% fof(15, axiom,![X1]:zero=meet(X1,complement(X1)),file('/tmp/SRASS.s.p', def_zero)).
% fof(16, axiom,![X1]:top=join(X1,complement(X1)),file('/tmp/SRASS.s.p', def_top)).
% fof(17, conjecture,![X1]:![X2]:((join(X1,one)=one&join(X2,one)=one)=>composition(X1,X2)=meet(X1,X2)),file('/tmp/SRASS.s.p', goals)).
% fof(18, negated_conjecture,~(![X1]:![X2]:((join(X1,one)=one&join(X2,one)=one)=>composition(X1,X2)=meet(X1,X2))),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,![X4]:![X5]:![X6]:composition(X4,composition(X5,X6))=composition(composition(X4,X5),X6),inference(variable_rename,[status(thm)],[3])).
% cnf(24,plain,(composition(X1,composition(X2,X3))=composition(composition(X1,X2),X3)),inference(split_conjunct,[status(thm)],[23])).
% fof(25, plain,![X2]:composition(X2,one)=X2,inference(variable_rename,[status(thm)],[4])).
% cnf(26,plain,(composition(X1,one)=X1),inference(split_conjunct,[status(thm)],[25])).
% fof(27, plain,![X4]:![X5]:![X6]:composition(join(X4,X5),X6)=join(composition(X4,X6),composition(X5,X6)),inference(variable_rename,[status(thm)],[5])).
% cnf(28,plain,(composition(join(X1,X2),X3)=join(composition(X1,X3),composition(X2,X3))),inference(split_conjunct,[status(thm)],[27])).
% fof(29, 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)],[6])).
% cnf(30,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)],[29])).
% fof(31, plain,![X4]:![X5]:![X6]:join(meet(composition(X4,X5),X6),meet(composition(X4,meet(X5,composition(converse(X4),X6))),X6))=meet(composition(X4,meet(X5,composition(converse(X4),X6))),X6),inference(variable_rename,[status(thm)],[7])).
% cnf(32,plain,(join(meet(composition(X1,X2),X3),meet(composition(X1,meet(X2,composition(converse(X1),X3))),X3))=meet(composition(X1,meet(X2,composition(converse(X1),X3))),X3)),inference(split_conjunct,[status(thm)],[31])).
% fof(35, plain,![X3]:![X4]:meet(X3,X4)=complement(join(complement(X3),complement(X4))),inference(variable_rename,[status(thm)],[9])).
% cnf(36,plain,(meet(X1,X2)=complement(join(complement(X1),complement(X2)))),inference(split_conjunct,[status(thm)],[35])).
% fof(37, plain,![X3]:![X4]:X3=join(complement(join(complement(X3),complement(X4))),complement(join(complement(X3),X4))),inference(variable_rename,[status(thm)],[10])).
% cnf(38,plain,(X1=join(complement(join(complement(X1),complement(X2))),complement(join(complement(X1),X2)))),inference(split_conjunct,[status(thm)],[37])).
% fof(39, plain,![X2]:converse(converse(X2))=X2,inference(variable_rename,[status(thm)],[11])).
% cnf(40,plain,(converse(converse(X1))=X1),inference(split_conjunct,[status(thm)],[39])).
% fof(41, plain,![X3]:![X4]:converse(join(X3,X4))=join(converse(X3),converse(X4)),inference(variable_rename,[status(thm)],[12])).
% cnf(42,plain,(converse(join(X1,X2))=join(converse(X1),converse(X2))),inference(split_conjunct,[status(thm)],[41])).
% fof(43, plain,![X3]:![X4]:converse(composition(X3,X4))=composition(converse(X4),converse(X3)),inference(variable_rename,[status(thm)],[13])).
% cnf(44,plain,(converse(composition(X1,X2))=composition(converse(X2),converse(X1))),inference(split_conjunct,[status(thm)],[43])).
% fof(45, plain,![X3]:![X4]:join(composition(converse(X3),complement(composition(X3,X4))),complement(X4))=complement(X4),inference(variable_rename,[status(thm)],[14])).
% cnf(46,plain,(join(composition(converse(X1),complement(composition(X1,X2))),complement(X2))=complement(X2)),inference(split_conjunct,[status(thm)],[45])).
% fof(47, plain,![X2]:zero=meet(X2,complement(X2)),inference(variable_rename,[status(thm)],[15])).
% cnf(48,plain,(zero=meet(X1,complement(X1))),inference(split_conjunct,[status(thm)],[47])).
% fof(49, plain,![X2]:top=join(X2,complement(X2)),inference(variable_rename,[status(thm)],[16])).
% cnf(50,plain,(top=join(X1,complement(X1))),inference(split_conjunct,[status(thm)],[49])).
% fof(51, negated_conjecture,?[X1]:?[X2]:((join(X1,one)=one&join(X2,one)=one)&~(composition(X1,X2)=meet(X1,X2))),inference(fof_nnf,[status(thm)],[18])).
% fof(52, negated_conjecture,?[X3]:?[X4]:((join(X3,one)=one&join(X4,one)=one)&~(composition(X3,X4)=meet(X3,X4))),inference(variable_rename,[status(thm)],[51])).
% fof(53, negated_conjecture,((join(esk1_0,one)=one&join(esk2_0,one)=one)&~(composition(esk1_0,esk2_0)=meet(esk1_0,esk2_0))),inference(skolemize,[status(esa)],[52])).
% cnf(54,negated_conjecture,(composition(esk1_0,esk2_0)!=meet(esk1_0,esk2_0)),inference(split_conjunct,[status(thm)],[53])).
% cnf(55,negated_conjecture,(join(esk2_0,one)=one),inference(split_conjunct,[status(thm)],[53])).
% cnf(56,negated_conjecture,(join(esk1_0,one)=one),inference(split_conjunct,[status(thm)],[53])).
% cnf(57,plain,(complement(join(complement(X1),complement(complement(X1))))=zero),inference(rw,[status(thm)],[48,36,theory(equality)]),['unfolding']).
% cnf(58,plain,(join(complement(join(complement(composition(X1,X2)),complement(X3))),complement(join(complement(composition(X1,complement(join(complement(X2),complement(composition(converse(X1),X3)))))),complement(X3))))=complement(join(complement(composition(X1,complement(join(complement(X2),complement(composition(converse(X1),X3)))))),complement(X3)))),inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[32,36,theory(equality)]),36,theory(equality)]),36,theory(equality)]),36,theory(equality)]),36,theory(equality)]),['unfolding']).
% cnf(60,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)],[30,36,theory(equality)]),36,theory(equality)]),36,theory(equality)]),36,theory(equality)]),36,theory(equality)]),['unfolding']).
% cnf(61,negated_conjecture,(complement(join(complement(esk1_0),complement(esk2_0)))!=composition(esk1_0,esk2_0)),inference(rw,[status(thm)],[54,36,theory(equality)]),['unfolding']).
% cnf(63,negated_conjecture,(converse(one)=join(converse(esk2_0),converse(one))),inference(spm,[status(thm)],[42,55,theory(equality)])).
% cnf(64,negated_conjecture,(converse(one)=join(converse(esk1_0),converse(one))),inference(spm,[status(thm)],[42,56,theory(equality)])).
% cnf(72,plain,(converse(X1)=composition(converse(one),converse(X1))),inference(spm,[status(thm)],[44,26,theory(equality)])).
% cnf(74,plain,(complement(top)=zero),inference(rw,[status(thm)],[57,50,theory(equality)])).
% cnf(76,plain,(join(X1,join(X2,complement(join(X1,X2))))=top),inference(spm,[status(thm)],[50,22,theory(equality)])).
% cnf(81,negated_conjecture,(join(one,X1)=join(esk2_0,join(one,X1))),inference(spm,[status(thm)],[22,55,theory(equality)])).
% cnf(83,plain,(join(top,X2)=join(X1,join(complement(X1),X2))),inference(spm,[status(thm)],[22,50,theory(equality)])).
% cnf(84,plain,(join(join(X2,X1),X3)=join(X1,join(X2,X3))),inference(spm,[status(thm)],[22,20,theory(equality)])).
% cnf(90,plain,(join(X2,join(X1,X3))=join(X1,join(X2,X3))),inference(rw,[status(thm)],[84,22,theory(equality)])).
% cnf(104,negated_conjecture,(composition(one,X1)=join(composition(esk2_0,X1),composition(one,X1))),inference(spm,[status(thm)],[28,55,theory(equality)])).
% cnf(105,negated_conjecture,(composition(one,X1)=join(composition(esk1_0,X1),composition(one,X1))),inference(spm,[status(thm)],[28,56,theory(equality)])).
% cnf(107,plain,(composition(top,X2)=join(composition(X1,X2),composition(complement(X1),X2))),inference(spm,[status(thm)],[28,50,theory(equality)])).
% cnf(119,plain,(join(complement(X2),composition(converse(X1),complement(composition(X1,X2))))=complement(X2)),inference(rw,[status(thm)],[46,20,theory(equality)])).
% cnf(136,plain,(join(complement(join(complement(X1),X2)),complement(join(complement(X1),complement(X2))))=X1),inference(rw,[status(thm)],[38,20,theory(equality)])).
% cnf(149,plain,(join(complement(join(X2,complement(X1))),complement(join(complement(X1),complement(X2))))=X1),inference(spm,[status(thm)],[136,20,theory(equality)])).
% cnf(154,plain,(join(complement(join(complement(composition(X1,X2)),complement(X3))),complement(join(complement(X3),complement(composition(X1,complement(join(complement(X2),complement(composition(converse(X1),X3)))))))))=complement(join(complement(composition(X1,complement(join(complement(X2),complement(composition(converse(X1),X3)))))),complement(X3)))),inference(rw,[status(thm)],[58,20,theory(equality)])).
% cnf(155,plain,(join(complement(join(complement(composition(X1,X2)),complement(X3))),complement(join(complement(X3),complement(composition(X1,complement(join(complement(X2),complement(composition(converse(X1),X3)))))))))=complement(join(complement(X3),complement(composition(X1,complement(join(complement(X2),complement(composition(converse(X1),X3))))))))),inference(rw,[status(thm)],[154,20,theory(equality)])).
% cnf(161,plain,(join(complement(join(complement(composition(converse(X1),X2)),complement(X3))),complement(join(complement(X3),complement(composition(converse(X1),complement(join(complement(X2),complement(composition(X1,X3)))))))))=complement(join(complement(X3),complement(composition(converse(X1),complement(join(complement(X2),complement(composition(X1,X3))))))))),inference(spm,[status(thm)],[155,40,theory(equality)])).
% cnf(174,plain,(join(complement(join(complement(X1),complement(X2))),complement(join(complement(X2),complement(composition(X1,complement(join(complement(one),complement(composition(converse(X1),X2)))))))))=complement(join(complement(X2),complement(composition(X1,complement(join(complement(one),complement(composition(converse(X1),X2))))))))),inference(spm,[status(thm)],[155,26,theory(equality)])).
% cnf(313,plain,(composition(converse(one),X1)=X1),inference(spm,[status(thm)],[72,40,theory(equality)])).
% cnf(328,plain,(one=converse(one)),inference(spm,[status(thm)],[26,313,theory(equality)])).
% cnf(368,plain,(composition(one,X1)=X1),inference(rw,[status(thm)],[313,328,theory(equality)])).
% cnf(369,negated_conjecture,(join(one,converse(esk1_0))=converse(one)),inference(rw,[status(thm)],[inference(rw,[status(thm)],[64,328,theory(equality)]),20,theory(equality)])).
% cnf(370,negated_conjecture,(join(one,converse(esk1_0))=one),inference(rw,[status(thm)],[369,328,theory(equality)])).
% cnf(371,negated_conjecture,(join(one,converse(esk2_0))=converse(one)),inference(rw,[status(thm)],[inference(rw,[status(thm)],[63,328,theory(equality)]),20,theory(equality)])).
% cnf(372,negated_conjecture,(join(one,converse(esk2_0))=one),inference(rw,[status(thm)],[371,328,theory(equality)])).
% cnf(386,plain,(join(complement(X1),composition(converse(one),complement(X1)))=complement(X1)),inference(spm,[status(thm)],[119,368,theory(equality)])).
% cnf(398,plain,(join(complement(X1),complement(X1))=complement(X1)),inference(rw,[status(thm)],[inference(rw,[status(thm)],[386,328,theory(equality)]),368,theory(equality)])).
% cnf(400,negated_conjecture,(join(one,X1)=join(one,join(converse(esk1_0),X1))),inference(spm,[status(thm)],[22,370,theory(equality)])).
% cnf(401,negated_conjecture,(composition(one,X1)=join(composition(one,X1),composition(converse(esk1_0),X1))),inference(spm,[status(thm)],[28,370,theory(equality)])).
% cnf(404,negated_conjecture,(X1=join(composition(one,X1),composition(converse(esk1_0),X1))),inference(rw,[status(thm)],[401,368,theory(equality)])).
% cnf(405,negated_conjecture,(X1=join(X1,composition(converse(esk1_0),X1))),inference(rw,[status(thm)],[404,368,theory(equality)])).
% cnf(408,negated_conjecture,(join(one,X1)=join(one,join(converse(esk2_0),X1))),inference(spm,[status(thm)],[22,372,theory(equality)])).
% cnf(409,negated_conjecture,(composition(one,X1)=join(composition(one,X1),composition(converse(esk2_0),X1))),inference(spm,[status(thm)],[28,372,theory(equality)])).
% cnf(412,negated_conjecture,(X1=join(composition(one,X1),composition(converse(esk2_0),X1))),inference(rw,[status(thm)],[409,368,theory(equality)])).
% cnf(413,negated_conjecture,(X1=join(X1,composition(converse(esk2_0),X1))),inference(rw,[status(thm)],[412,368,theory(equality)])).
% cnf(426,plain,(join(complement(complement(X1)),complement(join(complement(X1),complement(complement(X1)))))=X1),inference(spm,[status(thm)],[136,398,theory(equality)])).
% cnf(435,plain,(join(zero,zero)=zero),inference(spm,[status(thm)],[398,74,theory(equality)])).
% cnf(439,plain,(join(complement(complement(X1)),zero)=X1),inference(rw,[status(thm)],[inference(rw,[status(thm)],[426,50,theory(equality)]),74,theory(equality)])).
% cnf(451,plain,(join(zero,X1)=join(zero,join(zero,X1))),inference(spm,[status(thm)],[22,435,theory(equality)])).
% cnf(457,plain,(join(zero,complement(complement(X1)))=X1),inference(rw,[status(thm)],[439,20,theory(equality)])).
% cnf(465,negated_conjecture,(converse(X1)=join(converse(X1),converse(composition(converse(esk1_0),X1)))),inference(spm,[status(thm)],[42,405,theory(equality)])).
% cnf(469,negated_conjecture,(converse(X1)=join(converse(X1),composition(converse(X1),esk1_0))),inference(rw,[status(thm)],[inference(rw,[status(thm)],[465,44,theory(equality)]),40,theory(equality)])).
% cnf(487,negated_conjecture,(join(esk2_0,join(X1,one))=join(X1,one)),inference(spm,[status(thm)],[81,20,theory(equality)])).
% cnf(605,plain,(join(zero,X1)=X1),inference(spm,[status(thm)],[451,457,theory(equality)])).
% cnf(620,plain,(X1=join(X1,zero)),inference(spm,[status(thm)],[20,605,theory(equality)])).
% cnf(629,plain,(complement(complement(X1))=X1),inference(rw,[status(thm)],[457,605,theory(equality)])).
% cnf(653,plain,(join(X1,X1)=X1),inference(spm,[status(thm)],[398,629,theory(equality)])).
% cnf(697,plain,(join(X1,X2)=join(X1,join(X1,X2))),inference(spm,[status(thm)],[22,653,theory(equality)])).
% cnf(787,plain,(join(complement(join(complement(X1),X2)),X1)=X1),inference(spm,[status(thm)],[697,136,theory(equality)])).
% cnf(801,plain,(join(X1,top)=top),inference(spm,[status(thm)],[697,50,theory(equality)])).
% cnf(804,plain,(join(X1,join(X2,X1))=join(X2,X1)),inference(spm,[status(thm)],[697,20,theory(equality)])).
% cnf(847,plain,(top=join(top,X1)),inference(spm,[status(thm)],[20,801,theory(equality)])).
% cnf(1224,plain,(join(X1,join(complement(X1),X2))=top),inference(rw,[status(thm)],[83,847,theory(equality)])).
% cnf(1289,negated_conjecture,(join(complement(esk2_0),one)=top),inference(spm,[status(thm)],[1224,487,theory(equality)])).
% cnf(1313,negated_conjecture,(join(one,complement(esk2_0))=top),inference(rw,[status(thm)],[1289,20,theory(equality)])).
% cnf(1316,negated_conjecture,(composition(top,X1)=join(composition(one,X1),composition(complement(esk2_0),X1))),inference(spm,[status(thm)],[28,1313,theory(equality)])).
% cnf(1324,negated_conjecture,(composition(top,X1)=join(X1,composition(complement(esk2_0),X1))),inference(rw,[status(thm)],[1316,368,theory(equality)])).
% cnf(1418,plain,(join(X1,join(X2,complement(join(X2,X1))))=top),inference(spm,[status(thm)],[76,20,theory(equality)])).
% cnf(2178,plain,(join(X1,complement(join(complement(X1),X2)))=X1),inference(rw,[status(thm)],[787,20,theory(equality)])).
% cnf(2191,plain,(join(X1,X3)=join(X1,join(complement(join(complement(X1),X2)),X3))),inference(spm,[status(thm)],[22,2178,theory(equality)])).
% cnf(2203,plain,(join(complement(X1),complement(join(X1,X2)))=complement(X1)),inference(spm,[status(thm)],[2178,629,theory(equality)])).
% cnf(2216,plain,(join(X1,complement(join(X2,complement(X1))))=X1),inference(spm,[status(thm)],[2178,804,theory(equality)])).
% cnf(2292,plain,(join(complement(X1),complement(join(X2,X1)))=complement(X1)),inference(spm,[status(thm)],[2216,629,theory(equality)])).
% cnf(2368,negated_conjecture,(join(one,converse(esk1_0))=join(one,composition(converse(esk2_0),converse(esk1_0)))),inference(spm,[status(thm)],[400,413,theory(equality)])).
% cnf(2405,negated_conjecture,(one=join(one,composition(converse(esk2_0),converse(esk1_0)))),inference(rw,[status(thm)],[2368,370,theory(equality)])).
% cnf(4116,negated_conjecture,(join(complement(esk2_0),complement(one))=complement(esk2_0)),inference(spm,[status(thm)],[2203,55,theory(equality)])).
% cnf(4364,negated_conjecture,(join(complement(converse(esk2_0)),complement(one))=complement(converse(esk2_0))),inference(spm,[status(thm)],[2292,372,theory(equality)])).
% cnf(4502,negated_conjecture,(join(complement(one),complement(converse(esk2_0)))=complement(converse(esk2_0))),inference(rw,[status(thm)],[4364,20,theory(equality)])).
% cnf(4850,negated_conjecture,(converse(one)=join(converse(one),converse(composition(converse(esk2_0),converse(esk1_0))))),inference(spm,[status(thm)],[42,2405,theory(equality)])).
% cnf(4864,negated_conjecture,(one=join(converse(one),converse(composition(converse(esk2_0),converse(esk1_0))))),inference(rw,[status(thm)],[4850,328,theory(equality)])).
% cnf(4865,negated_conjecture,(one=join(one,composition(esk1_0,esk2_0))),inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[4864,328,theory(equality)]),44,theory(equality)]),40,theory(equality)]),40,theory(equality)])).
% cnf(4873,negated_conjecture,(join(X1,composition(esk2_0,X1))=composition(one,X1)),inference(rw,[status(thm)],[inference(rw,[status(thm)],[104,368,theory(equality)]),20,theory(equality)])).
% cnf(4874,negated_conjecture,(join(X1,composition(esk2_0,X1))=X1),inference(rw,[status(thm)],[4873,368,theory(equality)])).
% cnf(4883,negated_conjecture,(join(one,converse(esk2_0))=join(one,composition(esk2_0,converse(esk2_0)))),inference(spm,[status(thm)],[408,4874,theory(equality)])).
% cnf(4899,negated_conjecture,(join(complement(composition(esk2_0,X1)),complement(X1))=complement(composition(esk2_0,X1))),inference(spm,[status(thm)],[2292,4874,theory(equality)])).
% cnf(4911,negated_conjecture,(one=join(one,composition(esk2_0,converse(esk2_0)))),inference(rw,[status(thm)],[4883,372,theory(equality)])).
% cnf(4971,negated_conjecture,(join(one,X1)=join(one,join(composition(esk1_0,esk2_0),X1))),inference(spm,[status(thm)],[22,4865,theory(equality)])).
% cnf(5002,negated_conjecture,(join(complement(composition(esk2_0,converse(esk2_0))),complement(one))=complement(composition(esk2_0,converse(esk2_0)))),inference(spm,[status(thm)],[2292,4911,theory(equality)])).
% cnf(5440,negated_conjecture,(join(X1,composition(esk1_0,X1))=composition(one,X1)),inference(rw,[status(thm)],[inference(rw,[status(thm)],[105,368,theory(equality)]),20,theory(equality)])).
% cnf(5441,negated_conjecture,(join(X1,composition(esk1_0,X1))=X1),inference(rw,[status(thm)],[5440,368,theory(equality)])).
% cnf(5451,negated_conjecture,(join(one,converse(esk1_0))=join(one,composition(esk1_0,converse(esk1_0)))),inference(spm,[status(thm)],[400,5441,theory(equality)])).
% cnf(5459,negated_conjecture,(join(X1,X2)=join(X1,join(composition(esk1_0,X1),X2))),inference(spm,[status(thm)],[22,5441,theory(equality)])).
% cnf(5466,negated_conjecture,(join(complement(composition(esk1_0,X1)),complement(X1))=complement(composition(esk1_0,X1))),inference(spm,[status(thm)],[2292,5441,theory(equality)])).
% cnf(5483,negated_conjecture,(one=join(one,composition(esk1_0,converse(esk1_0)))),inference(rw,[status(thm)],[5451,370,theory(equality)])).
% cnf(5634,negated_conjecture,(composition(one,X1)=join(composition(one,X1),composition(composition(esk1_0,converse(esk1_0)),X1))),inference(spm,[status(thm)],[28,5483,theory(equality)])).
% cnf(5640,negated_conjecture,(join(complement(composition(esk1_0,converse(esk1_0))),complement(one))=complement(composition(esk1_0,converse(esk1_0)))),inference(spm,[status(thm)],[2292,5483,theory(equality)])).
% cnf(5648,negated_conjecture,(X1=join(composition(one,X1),composition(composition(esk1_0,converse(esk1_0)),X1))),inference(rw,[status(thm)],[5634,368,theory(equality)])).
% cnf(5649,negated_conjecture,(X1=join(X1,composition(esk1_0,composition(converse(esk1_0),X1)))),inference(rw,[status(thm)],[inference(rw,[status(thm)],[5648,368,theory(equality)]),24,theory(equality)])).
% cnf(12993,negated_conjecture,(join(X1,composition(X1,esk1_0))=X1),inference(spm,[status(thm)],[469,40,theory(equality)])).
% cnf(13044,negated_conjecture,(join(X1,composition(esk1_0,X1))=join(X1,composition(composition(esk1_0,X1),esk1_0))),inference(spm,[status(thm)],[5459,12993,theory(equality)])).
% cnf(13049,negated_conjecture,(join(X1,X2)=join(X1,join(composition(X1,esk1_0),X2))),inference(spm,[status(thm)],[22,12993,theory(equality)])).
% cnf(13059,negated_conjecture,(join(X1,X2)=join(X2,join(X1,composition(X2,esk1_0)))),inference(spm,[status(thm)],[90,12993,theory(equality)])).
% cnf(13088,negated_conjecture,(X1=join(X1,composition(composition(esk1_0,X1),esk1_0))),inference(rw,[status(thm)],[13044,5441,theory(equality)])).
% cnf(13089,negated_conjecture,(X1=join(X1,composition(esk1_0,composition(X1,esk1_0)))),inference(rw,[status(thm)],[13088,24,theory(equality)])).
% cnf(14421,negated_conjecture,(join(complement(esk2_0),composition(top,esk1_0))=join(esk1_0,complement(esk2_0))),inference(spm,[status(thm)],[13059,1324,theory(equality)])).
% cnf(35890,negated_conjecture,(join(one,composition(esk1_0,esk2_0))=join(one,composition(esk2_0,composition(esk1_0,esk2_0)))),inference(spm,[status(thm)],[4971,4874,theory(equality)])).
% cnf(36047,negated_conjecture,(one=join(one,composition(esk2_0,composition(esk1_0,esk2_0)))),inference(rw,[status(thm)],[35890,4865,theory(equality)])).
% cnf(36151,negated_conjecture,(join(complement(composition(esk2_0,composition(esk1_0,esk2_0))),complement(one))=complement(composition(esk2_0,composition(esk1_0,esk2_0)))),inference(spm,[status(thm)],[2292,36047,theory(equality)])).
% cnf(36648,negated_conjecture,(join(complement(one),complement(composition(esk2_0,converse(esk2_0))))=complement(composition(esk2_0,converse(esk2_0)))),inference(rw,[status(thm)],[5002,20,theory(equality)])).
% cnf(38216,negated_conjecture,(join(complement(one),complement(composition(esk1_0,converse(esk1_0))))=complement(composition(esk1_0,converse(esk1_0)))),inference(rw,[status(thm)],[5640,20,theory(equality)])).
% cnf(38256,negated_conjecture,(join(complement(join(complement(composition(one,esk1_0)),complement(esk1_0))),composition(complement(complement(composition(esk1_0,converse(esk1_0)))),complement(join(complement(esk1_0),complement(composition(converse(one),esk1_0))))))=composition(complement(complement(composition(esk1_0,converse(esk1_0)))),complement(join(complement(esk1_0),complement(composition(converse(one),esk1_0)))))),inference(spm,[status(thm)],[60,38216,theory(equality)])).
% cnf(38294,negated_conjecture,(esk1_0=composition(complement(complement(composition(esk1_0,converse(esk1_0)))),complement(join(complement(esk1_0),complement(composition(converse(one),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)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[38256,368,theory(equality)]),653,theory(equality)]),629,theory(equality)]),629,theory(equality)]),328,theory(equality)]),368,theory(equality)]),653,theory(equality)]),629,theory(equality)]),24,theory(equality)]),5649,theory(equality)])).
% cnf(38295,negated_conjecture,(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)],[inference(rw,[status(thm)],[38294,629,theory(equality)]),328,theory(equality)]),368,theory(equality)]),653,theory(equality)]),629,theory(equality)]),24,theory(equality)])).
% cnf(38337,negated_conjecture,(join(converse(esk1_0),esk1_0)=converse(esk1_0)),inference(spm,[status(thm)],[13089,38295,theory(equality)])).
% cnf(38351,negated_conjecture,(join(esk1_0,converse(esk1_0))=converse(esk1_0)),inference(rw,[status(thm)],[38337,20,theory(equality)])).
% cnf(38640,negated_conjecture,(converse(converse(esk1_0))=join(converse(esk1_0),converse(converse(esk1_0)))),inference(spm,[status(thm)],[42,38351,theory(equality)])).
% cnf(38660,negated_conjecture,(esk1_0=join(converse(esk1_0),converse(converse(esk1_0)))),inference(rw,[status(thm)],[38640,40,theory(equality)])).
% cnf(38661,negated_conjecture,(esk1_0=converse(esk1_0)),inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[38660,40,theory(equality)]),20,theory(equality)]),38351,theory(equality)])).
% cnf(44045,negated_conjecture,(join(complement(complement(esk2_0)),complement(join(complement(one),complement(composition(esk2_0,complement(join(complement(one),complement(composition(converse(esk2_0),one)))))))))=complement(join(complement(one),complement(composition(esk2_0,complement(join(complement(one),complement(composition(converse(esk2_0),one))))))))),inference(spm,[status(thm)],[174,4116,theory(equality)])).
% cnf(44167,negated_conjecture,(join(esk2_0,composition(esk2_0,converse(esk2_0)))=complement(join(complement(one),complement(composition(esk2_0,complement(join(complement(one),complement(composition(converse(esk2_0),one))))))))),inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[44045,629,theory(equality)]),26,theory(equality)]),4502,theory(equality)]),629,theory(equality)]),36648,theory(equality)]),629,theory(equality)])).
% cnf(44168,negated_conjecture,(join(esk2_0,composition(esk2_0,converse(esk2_0)))=composition(esk2_0,converse(esk2_0))),inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[44167,26,theory(equality)]),4502,theory(equality)]),629,theory(equality)]),36648,theory(equality)]),629,theory(equality)])).
% cnf(44357,negated_conjecture,(converse(composition(esk2_0,converse(esk2_0)))=join(converse(esk2_0),converse(composition(esk2_0,converse(esk2_0))))),inference(spm,[status(thm)],[42,44168,theory(equality)])).
% cnf(44377,negated_conjecture,(composition(esk2_0,converse(esk2_0))=join(converse(esk2_0),converse(composition(esk2_0,converse(esk2_0))))),inference(rw,[status(thm)],[inference(rw,[status(thm)],[44357,44,theory(equality)]),40,theory(equality)])).
% cnf(44378,negated_conjecture,(composition(esk2_0,converse(esk2_0))=converse(esk2_0)),inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[44377,44,theory(equality)]),40,theory(equality)]),4874,theory(equality)])).
% cnf(44388,negated_conjecture,(converse(converse(esk2_0))=composition(converse(converse(esk2_0)),converse(esk2_0))),inference(spm,[status(thm)],[44,44378,theory(equality)])).
% cnf(44436,negated_conjecture,(esk2_0=composition(converse(converse(esk2_0)),converse(esk2_0))),inference(rw,[status(thm)],[44388,40,theory(equality)])).
% cnf(44437,negated_conjecture,(esk2_0=converse(esk2_0)),inference(rw,[status(thm)],[inference(rw,[status(thm)],[44436,40,theory(equality)]),44378,theory(equality)])).
% cnf(44504,negated_conjecture,(composition(esk2_0,esk2_0)=converse(esk2_0)),inference(rw,[status(thm)],[44378,44437,theory(equality)])).
% cnf(44505,negated_conjecture,(composition(esk2_0,esk2_0)=esk2_0),inference(rw,[status(thm)],[44504,44437,theory(equality)])).
% cnf(44559,negated_conjecture,(composition(esk2_0,X1)=composition(esk2_0,composition(esk2_0,X1))),inference(spm,[status(thm)],[24,44505,theory(equality)])).
% cnf(99909,negated_conjecture,(join(complement(X1),complement(composition(esk2_0,X1)))=complement(composition(esk2_0,X1))),inference(rw,[status(thm)],[4899,20,theory(equality)])).
% cnf(100267,negated_conjecture,(join(complement(X1),complement(composition(esk1_0,X1)))=complement(composition(esk1_0,X1))),inference(rw,[status(thm)],[5466,20,theory(equality)])).
% cnf(152503,plain,(join(X1,X2)=join(X1,complement(join(complement(X2),complement(complement(X1)))))),inference(spm,[status(thm)],[2191,149,theory(equality)])).
% cnf(153243,plain,(join(X1,X2)=join(X1,complement(join(complement(X2),X1)))),inference(rw,[status(thm)],[152503,629,theory(equality)])).
% cnf(153475,plain,(join(X1,complement(join(X2,X1)))=join(X1,complement(X2))),inference(spm,[status(thm)],[153243,629,theory(equality)])).
% cnf(154574,negated_conjecture,(join(X1,join(composition(X1,esk1_0),complement(X2)))=join(X1,complement(join(X2,composition(X1,esk1_0))))),inference(spm,[status(thm)],[13049,153475,theory(equality)])).
% cnf(155004,plain,(join(join(X1,complement(join(X1,X2))),complement(top))=join(join(X1,complement(join(X1,X2))),complement(X2))),inference(spm,[status(thm)],[153475,1418,theory(equality)])).
% cnf(155205,negated_conjecture,(join(X1,complement(X2))=join(X1,complement(join(X2,composition(X1,esk1_0))))),inference(rw,[status(thm)],[154574,13049,theory(equality)])).
% cnf(155796,plain,(join(X1,complement(join(X1,X2)))=join(join(X1,complement(join(X1,X2))),complement(X2))),inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[155004,74,theory(equality)]),22,theory(equality)]),620,theory(equality)])).
% cnf(155797,plain,(join(X1,complement(join(X1,X2)))=join(X1,complement(X2))),inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[155796,22,theory(equality)]),20,theory(equality)]),2292,theory(equality)])).
% cnf(156101,negated_conjecture,(join(complement(esk2_0),complement(join(esk1_0,complement(esk2_0))))=join(complement(esk2_0),complement(composition(top,esk1_0)))),inference(spm,[status(thm)],[155797,14421,theory(equality)])).
% cnf(156761,negated_conjecture,(join(complement(esk1_0),complement(esk2_0))=join(complement(esk2_0),complement(composition(top,esk1_0)))),inference(rw,[status(thm)],[inference(rw,[status(thm)],[156101,153475,theory(equality)]),20,theory(equality)])).
% cnf(229508,negated_conjecture,(join(complement(one),complement(composition(esk2_0,composition(esk1_0,esk2_0))))=complement(composition(esk2_0,composition(esk1_0,esk2_0)))),inference(rw,[status(thm)],[36151,20,theory(equality)])).
% cnf(229589,negated_conjecture,(join(complement(join(complement(composition(converse(esk2_0),one)),complement(composition(esk1_0,esk2_0)))),complement(join(complement(composition(esk1_0,esk2_0)),complement(composition(converse(esk2_0),complement(complement(composition(esk2_0,composition(esk1_0,esk2_0)))))))))=complement(join(complement(composition(esk1_0,esk2_0)),complement(composition(converse(esk2_0),complement(complement(composition(esk2_0,composition(esk1_0,esk2_0))))))))),inference(spm,[status(thm)],[161,229508,theory(equality)])).
% cnf(229683,negated_conjecture,(composition(esk1_0,esk2_0)=complement(join(complement(composition(esk1_0,esk2_0)),complement(composition(converse(esk2_0),complement(complement(composition(esk2_0,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)],[inference(rw,[status(thm)],[229589,26,theory(equality)]),44437,theory(equality)]),100267,theory(equality)]),629,theory(equality)]),44437,theory(equality)]),629,theory(equality)]),44559,theory(equality)]),99909,theory(equality)]),629,theory(equality)]),4874,theory(equality)])).
% cnf(229684,negated_conjecture,(composition(esk1_0,esk2_0)=composition(esk2_0,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)],[229683,44437,theory(equality)]),629,theory(equality)]),44559,theory(equality)]),99909,theory(equality)]),629,theory(equality)])).
% cnf(229703,negated_conjecture,(converse(composition(esk1_0,esk2_0))=composition(converse(composition(esk1_0,esk2_0)),converse(esk2_0))),inference(spm,[status(thm)],[44,229684,theory(equality)])).
% cnf(229827,negated_conjecture,(composition(esk2_0,esk1_0)=composition(converse(composition(esk1_0,esk2_0)),converse(esk2_0))),inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[229703,44,theory(equality)]),44437,theory(equality)]),38661,theory(equality)])).
% cnf(229828,negated_conjecture,(composition(esk2_0,esk1_0)=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)],[229827,44,theory(equality)]),44437,theory(equality)]),38661,theory(equality)]),44437,theory(equality)]),24,theory(equality)]),229684,theory(equality)])).
% cnf(230004,negated_conjecture,(join(composition(esk1_0,esk2_0),composition(complement(esk2_0),esk1_0))=composition(top,esk1_0)),inference(spm,[status(thm)],[107,229828,theory(equality)])).
% cnf(230696,negated_conjecture,(join(complement(esk2_0),complement(composition(top,esk1_0)))=join(complement(esk2_0),complement(composition(esk1_0,esk2_0)))),inference(spm,[status(thm)],[155205,230004,theory(equality)])).
% cnf(230724,negated_conjecture,(join(complement(esk1_0),complement(esk2_0))=join(complement(esk2_0),complement(composition(esk1_0,esk2_0)))),inference(rw,[status(thm)],[230696,156761,theory(equality)])).
% cnf(230725,negated_conjecture,(join(complement(esk1_0),complement(esk2_0))=complement(composition(esk1_0,esk2_0))),inference(rw,[status(thm)],[230724,100267,theory(equality)])).
% cnf(231348,negated_conjecture,(complement(join(complement(esk1_0),complement(esk2_0)))=composition(esk1_0,esk2_0)),inference(spm,[status(thm)],[629,230725,theory(equality)])).
% cnf(231691,negated_conjecture,($false),inference(sr,[status(thm)],[231348,61,theory(equality)])).
% cnf(231692,negated_conjecture,($false),231691,['proof']).
% # SZS output end CNFRefutation
% # Processed clauses : 4161
% # ...of these trivial : 2518
% # ...subsumed : 550
% # ...remaining for further processing: 1093
% # Other redundant clauses eliminated : 0
% # Clauses deleted for lack of memory : 0
% # Backward-subsumed : 0
% # Backward-rewritten : 560
% # Generated clauses : 108659
% # ...of the previous two non-trivial : 52854
% # Contextual simplify-reflections : 0
% # Paramodulations : 108659
% # Factorizations : 0
% # Equation resolutions : 0
% # Current number of processed clauses: 533
% # Positive orientable unit clauses: 528
% # Positive unorientable unit clauses: 4
% # Negative unit clauses : 1
% # Non-unit-clauses : 0
% # Current number of unprocessed clauses: 29077
% # ...number of literals in the above : 29077
% # Clause-clause subsumption calls (NU) : 0
% # Rec. Clause-clause subsumption calls : 0
% # Unit Clause-clause subsumption calls : 20
% # Rewrite failures with RHS unbound : 0
% # Indexed BW rewrite attempts : 9766
% # Indexed BW rewrite successes : 360
% # Backwards rewriting index: 479 leaves, 2.71+/-5.640 terms/leaf
% # Paramod-from index: 237 leaves, 2.25+/-3.527 terms/leaf
% # Paramod-into index: 455 leaves, 2.76+/-5.745 terms/leaf
% # -------------------------------------------------
% # User time : 3.548 s
% # System time : 0.177 s
% # Total time : 3.725 s
% # Maximum resident set size: 0 pages
% PrfWatch: 7.30 CPU 7.44 WC
% FINAL PrfWatch: 7.30 CPU 7.44 WC
% SZS output end Solution for /tmp/SystemOnTPTP4774/REL028+2.tptp
%
%------------------------------------------------------------------------------