TSTP Solution File: REL047+1 by SRASS---0.1
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%------------------------------------------------------------------------------
% File : SRASS---0.1
% Problem : REL047+1 : TPTP v5.0.0. Released v4.0.0.
% Transfm : none
% Format : tptp
% Command : SRASS -q2 -a 0 10 10 10 -i3 -n60 %s
% Computer : art11.cs.miami.edu
% Model : i686 i686
% CPU : Intel(R) Pentium(R) 4 CPU 3.00GHz @ 3000MHz
% Memory : 2006MB
% OS : Linux 2.6.31.5-127.fc12.i686.PAE
% CPULimit : 300s
% DateTime : Wed Dec 29 22:08:11 EST 2010
% Result : Theorem 104.61s
% Output : Solution 123.99s
% 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/SystemOnTPTP10669/REL047+1.tptp
% Adding relevance values
% Extracting the conjecture
% Sorting axioms by relevance
% Looking for THM ...
% not found
% Adding ~C to TBU ... ~goals:
% ---- Iteration 1 (0 axioms selected)
% Looking for TBU SAT ...
% yes
% Looking for TBU model ...
% not found
% Looking for CSA axiom ... maddux1_join_commutativity:
% CSA axiom maddux1_join_commutativity found
% Looking for CSA axiom ... maddux2_join_associativity:
% CSA axiom maddux2_join_associativity found
% Looking for CSA axiom ... maddux4_definiton_of_meet:
% CSA axiom maddux4_definiton_of_meet found
% ---- Iteration 2 (3 axioms selected)
% Looking for TBU SAT ...
% yes
% Looking for TBU model ...
% not found
% Looking for CSA axiom ... maddux3_a_kind_of_de_Morgan:
% CSA axiom maddux3_a_kind_of_de_Morgan found
% Looking for CSA axiom ... composition_associativity:
% CSA axiom composition_associativity found
% Looking for CSA axiom ... converse_idempotence:
% CSA axiom converse_idempotence found
% ---- Iteration 3 (6 axioms selected)
% Looking for TBU SAT ...
% no
% Looking for TBU UNS ...
% yes - theorem proved
% ---- Selection completed
% Selected axioms are ... :converse_idempotence:composition_associativity:maddux3_a_kind_of_de_Morgan:maddux4_definiton_of_meet:maddux2_join_associativity:maddux1_join_commutativity (6)
% Unselected axioms are ... :composition_distributivity:converse_additivity:def_zero:def_top:converse_multiplicativity:converse_cancellativity:composition_identity (7)
% SZS status THM for /tmp/SystemOnTPTP10669/REL047+1.tptp
% Looking for THM ...
% found
% SZS output start Solution for /tmp/SystemOnTPTP10669/REL047+1.tptp
% TreeLimitedRun: ----------------------------------------------------------
% TreeLimitedRun: /home/graph/tptp/Systems/EP---1.2/eproof --print-statistics -xAuto -tAuto --cpu-limit=600 --proof-time-unlimited --memory-limit=Auto --tstp-in --tstp-out /tmp/SRASS.s.p
% TreeLimitedRun: CPU time limit is 600s
% TreeLimitedRun: WC time limit is 1200s
% TreeLimitedRun: PID is 12332
% TreeLimitedRun: ----------------------------------------------------------
% PrfWatch: 0.00 CPU 0.02 WC
% PrfWatch: 1.95 CPU 2.03 WC
% PrfWatch: 3.94 CPU 4.03 WC
% PrfWatch: 5.94 CPU 6.04 WC
% PrfWatch: 7.93 CPU 8.05 WC
% PrfWatch: 9.92 CPU 10.05 WC
% # Preprocessing time : 0.009 s
% # Problem is unsatisfiable (or provable), constructing proof object
% # SZS status Theorem
% PrfWatch: 11.90 CPU 12.06 WC
% PrfWatch: 13.90 CPU 14.07 WC
% PrfWatch: 15.89 CPU 16.07 WC
% PrfWatch: 17.88 CPU 18.08 WC
% # SZS output start CNFRefutation.
% 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]:join(X1,join(X2,X3))=join(join(X1,X2),X3),file('/tmp/SRASS.s.p', maddux2_join_associativity)).
% fof(6, axiom,![X1]:![X2]:join(X1,X2)=join(X2,X1),file('/tmp/SRASS.s.p', maddux1_join_commutativity)).
% fof(7, conjecture,![X1]:![X2]:![X3]:((join(X1,X2)=X2&join(X1,X3)=X3)=>join(X1,meet(X2,X3))=meet(X2,X3)),file('/tmp/SRASS.s.p', goals)).
% fof(8, negated_conjecture,~(![X1]:![X2]:![X3]:((join(X1,X2)=X2&join(X1,X3)=X3)=>join(X1,meet(X2,X3))=meet(X2,X3))),inference(assume_negation,[status(cth)],[7])).
% fof(13, plain,![X3]:![X4]:X3=join(complement(join(complement(X3),complement(X4))),complement(join(complement(X3),X4))),inference(variable_rename,[status(thm)],[3])).
% cnf(14,plain,(X1=join(complement(join(complement(X1),complement(X2))),complement(join(complement(X1),X2)))),inference(split_conjunct,[status(thm)],[13])).
% fof(15, plain,![X3]:![X4]:meet(X3,X4)=complement(join(complement(X3),complement(X4))),inference(variable_rename,[status(thm)],[4])).
% cnf(16,plain,(meet(X1,X2)=complement(join(complement(X1),complement(X2)))),inference(split_conjunct,[status(thm)],[15])).
% fof(17, plain,![X4]:![X5]:![X6]:join(X4,join(X5,X6))=join(join(X4,X5),X6),inference(variable_rename,[status(thm)],[5])).
% cnf(18,plain,(join(X1,join(X2,X3))=join(join(X1,X2),X3)),inference(split_conjunct,[status(thm)],[17])).
% fof(19, plain,![X3]:![X4]:join(X3,X4)=join(X4,X3),inference(variable_rename,[status(thm)],[6])).
% cnf(20,plain,(join(X1,X2)=join(X2,X1)),inference(split_conjunct,[status(thm)],[19])).
% fof(21, negated_conjecture,?[X1]:?[X2]:?[X3]:((join(X1,X2)=X2&join(X1,X3)=X3)&~(join(X1,meet(X2,X3))=meet(X2,X3))),inference(fof_nnf,[status(thm)],[8])).
% fof(22, negated_conjecture,?[X4]:?[X5]:?[X6]:((join(X4,X5)=X5&join(X4,X6)=X6)&~(join(X4,meet(X5,X6))=meet(X5,X6))),inference(variable_rename,[status(thm)],[21])).
% fof(23, negated_conjecture,((join(esk1_0,esk2_0)=esk2_0&join(esk1_0,esk3_0)=esk3_0)&~(join(esk1_0,meet(esk2_0,esk3_0))=meet(esk2_0,esk3_0))),inference(skolemize,[status(esa)],[22])).
% cnf(24,negated_conjecture,(join(esk1_0,meet(esk2_0,esk3_0))!=meet(esk2_0,esk3_0)),inference(split_conjunct,[status(thm)],[23])).
% cnf(25,negated_conjecture,(join(esk1_0,esk3_0)=esk3_0),inference(split_conjunct,[status(thm)],[23])).
% cnf(26,negated_conjecture,(join(esk1_0,esk2_0)=esk2_0),inference(split_conjunct,[status(thm)],[23])).
% cnf(27,negated_conjecture,(join(esk1_0,complement(join(complement(esk2_0),complement(esk3_0))))!=complement(join(complement(esk2_0),complement(esk3_0)))),inference(rw,[status(thm)],[inference(rw,[status(thm)],[24,16,theory(equality)]),16,theory(equality)]),['unfolding']).
% cnf(28,negated_conjecture,(join(esk2_0,esk1_0)=esk2_0),inference(rw,[status(thm)],[26,20,theory(equality)])).
% cnf(29,negated_conjecture,(join(esk3_0,esk1_0)=esk3_0),inference(rw,[status(thm)],[25,20,theory(equality)])).
% cnf(33,plain,(join(X1,join(X2,X3))=join(X3,join(X1,X2))),inference(spm,[status(thm)],[20,18,theory(equality)])).
% cnf(37,negated_conjecture,(join(esk2_0,X1)=join(esk2_0,join(esk1_0,X1))),inference(spm,[status(thm)],[18,28,theory(equality)])).
% cnf(38,plain,(join(join(X2,X1),X3)=join(X1,join(X2,X3))),inference(spm,[status(thm)],[18,20,theory(equality)])).
% cnf(42,plain,(join(X2,join(X1,X3))=join(X1,join(X2,X3))),inference(rw,[status(thm)],[38,18,theory(equality)])).
% cnf(50,negated_conjecture,(join(esk2_0,join(X1,esk1_0))=join(esk2_0,X1)),inference(spm,[status(thm)],[37,20,theory(equality)])).
% cnf(63,negated_conjecture,(join(join(esk2_0,X1),X2)=join(esk2_0,join(join(X1,esk1_0),X2))),inference(spm,[status(thm)],[18,50,theory(equality)])).
% cnf(67,negated_conjecture,(join(esk2_0,join(X1,X2))=join(esk2_0,join(join(X1,esk1_0),X2))),inference(rw,[status(thm)],[63,18,theory(equality)])).
% cnf(68,negated_conjecture,(join(esk2_0,join(X1,X2))=join(esk2_0,join(X1,join(esk1_0,X2)))),inference(rw,[status(thm)],[67,18,theory(equality)])).
% cnf(107,negated_conjecture,(join(X1,join(esk2_0,X2))=join(join(esk1_0,X2),join(X1,esk2_0))),inference(spm,[status(thm)],[33,37,theory(equality)])).
% cnf(138,negated_conjecture,(join(X1,join(esk2_0,X2))=join(esk1_0,join(X2,join(X1,esk2_0)))),inference(rw,[status(thm)],[107,18,theory(equality)])).
% cnf(164,plain,(join(complement(join(complement(X1),X2)),complement(join(complement(X1),complement(X2))))=X1),inference(rw,[status(thm)],[14,20,theory(equality)])).
% cnf(165,plain,(join(X1,X3)=join(complement(join(complement(X1),X2)),join(complement(join(complement(X1),complement(X2))),X3))),inference(spm,[status(thm)],[18,164,theory(equality)])).
% cnf(169,plain,(join(complement(join(complement(join(complement(X1),X2)),join(complement(X1),complement(X2)))),complement(X1))=join(complement(X1),X2)),inference(spm,[status(thm)],[164,164,theory(equality)])).
% cnf(170,plain,(join(complement(join(complement(X1),X2)),complement(join(complement(X2),complement(X1))))=X1),inference(spm,[status(thm)],[164,20,theory(equality)])).
% cnf(173,plain,(join(complement(join(X2,join(X3,complement(X1)))),complement(join(complement(X1),complement(join(X2,X3)))))=X1),inference(spm,[status(thm)],[164,33,theory(equality)])).
% cnf(174,plain,(join(complement(join(X2,complement(X1))),complement(join(complement(X1),complement(X2))))=X1),inference(spm,[status(thm)],[164,20,theory(equality)])).
% cnf(210,negated_conjecture,(join(esk2_0,join(X1,join(X3,join(esk1_0,X2))))=join(esk2_0,join(X1,join(X2,X3)))),inference(spm,[status(thm)],[68,33,theory(equality)])).
% cnf(313,plain,(join(complement(join(X2,join(complement(X1),X3))),complement(join(complement(X1),complement(join(X2,X3)))))=X1),inference(spm,[status(thm)],[164,42,theory(equality)])).
% cnf(367,plain,(join(complement(join(complement(X1),X2)),join(X3,complement(join(complement(X1),complement(X2)))))=join(X3,X1)),inference(spm,[status(thm)],[42,164,theory(equality)])).
% cnf(461,negated_conjecture,(join(esk1_0,join(X1,join(esk2_0,X2)))=join(X2,join(esk2_0,X1))),inference(spm,[status(thm)],[138,20,theory(equality)])).
% cnf(1651,plain,(join(complement(join(X2,complement(X1))),complement(join(complement(X2),complement(X1))))=X1),inference(spm,[status(thm)],[170,20,theory(equality)])).
% cnf(1661,plain,(join(X1,X3)=join(complement(join(X2,complement(X3))),join(X1,complement(join(complement(X3),complement(X2)))))),inference(spm,[status(thm)],[42,174,theory(equality)])).
% cnf(2077,plain,(join(complement(join(complement(X1),X2)),X1)=join(X1,complement(join(complement(complement(X2)),complement(X1))))),inference(spm,[status(thm)],[165,170,theory(equality)])).
% cnf(2358,plain,(join(X1,X3)=join(complement(join(X2,complement(X3))),join(X1,complement(join(complement(X2),complement(X3)))))),inference(spm,[status(thm)],[42,1651,theory(equality)])).
% cnf(2406,plain,(join(complement(X1),complement(join(complement(X2),join(complement(X1),complement(join(complement(X1),X2))))))=join(complement(X1),X2)),inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[169,33,theory(equality)]),20,theory(equality)]),20,theory(equality)])).
% cnf(2504,plain,(join(X1,complement(join(complement(complement(X2)),complement(X1))))=join(X1,complement(join(complement(X1),X2)))),inference(rw,[status(thm)],[2077,20,theory(equality)])).
% cnf(3596,negated_conjecture,(join(complement(join(esk2_0,join(complement(X1),join(X2,join(esk1_0,X3))))),complement(join(complement(X1),complement(join(esk2_0,join(X2,X3))))))=X1),inference(spm,[status(thm)],[313,68,theory(equality)])).
% cnf(3708,negated_conjecture,(join(complement(join(esk2_0,join(complement(X1),join(X3,X2)))),complement(join(complement(X1),complement(join(esk2_0,join(X2,X3))))))=X1),inference(rw,[status(thm)],[3596,210,theory(equality)])).
% cnf(3816,plain,(join(complement(join(complement(X1),X2)),X2)=join(complement(join(complement(X2),X1)),X1)),inference(spm,[status(thm)],[367,170,theory(equality)])).
% cnf(3818,plain,(join(complement(join(complement(X1),X2)),X2)=join(complement(join(X1,complement(X2))),X1)),inference(spm,[status(thm)],[367,1651,theory(equality)])).
% cnf(3826,plain,(join(complement(join(complement(complement(X1)),X2)),join(X2,complement(join(complement(X2),X1))))=join(X2,complement(X1))),inference(spm,[status(thm)],[367,2504,theory(equality)])).
% cnf(4070,plain,(join(X2,complement(join(complement(X1),X2)))=join(complement(join(complement(X2),X1)),X1)),inference(rw,[status(thm)],[3816,20,theory(equality)])).
% cnf(4071,plain,(join(X2,complement(join(complement(X1),X2)))=join(X1,complement(join(complement(X2),X1)))),inference(rw,[status(thm)],[4070,20,theory(equality)])).
% cnf(4074,negated_conjecture,(join(esk1_0,join(X1,join(X2,complement(join(complement(esk2_0),X2)))))=join(complement(join(complement(X2),esk2_0)),join(esk2_0,X1))),inference(spm,[status(thm)],[461,4071,theory(equality)])).
% cnf(4276,plain,(join(X2,complement(join(complement(X1),X2)))=join(complement(join(X1,complement(X2))),X1)),inference(rw,[status(thm)],[3818,20,theory(equality)])).
% cnf(4277,plain,(join(X2,complement(join(complement(X1),X2)))=join(X1,complement(join(X1,complement(X2))))),inference(rw,[status(thm)],[4276,20,theory(equality)])).
% cnf(4341,negated_conjecture,(join(esk2_0,join(X1,complement(join(X1,complement(esk1_0)))))=join(esk2_0,complement(join(complement(X1),esk1_0)))),inference(spm,[status(thm)],[37,4277,theory(equality)])).
% cnf(4934,negated_conjecture,(join(esk2_0,join(X1,complement(join(X1,complement(esk1_0)))))=join(esk2_0,complement(join(esk1_0,complement(X1))))),inference(rw,[status(thm)],[4341,20,theory(equality)])).
% cnf(13014,negated_conjecture,(join(esk1_0,join(X1,join(X2,complement(join(complement(esk2_0),X2)))))=join(esk2_0,join(complement(join(esk2_0,complement(X2))),X1))),inference(rw,[status(thm)],[inference(rw,[status(thm)],[4074,20,theory(equality)]),42,theory(equality)])).
% cnf(21288,plain,(join(X2,join(complement(join(complement(X2),X1)),complement(join(complement(complement(X1)),X2))))=join(X2,complement(X1))),inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[3826,33,theory(equality)]),20,theory(equality)]),42,theory(equality)])).
% cnf(21472,plain,(join(complement(X1),X1)=join(complement(X1),complement(complement(X1)))),inference(spm,[status(thm)],[21288,1651,theory(equality)])).
% cnf(21654,plain,(join(complement(X1),complement(complement(X1)))=join(X1,complement(X1))),inference(rw,[status(thm)],[21472,20,theory(equality)])).
% cnf(21746,plain,(join(complement(join(X1,complement(complement(X1)))),complement(join(X1,complement(X1))))=complement(X1)),inference(spm,[status(thm)],[1651,21654,theory(equality)])).
% cnf(24377,plain,(join(complement(join(X1,complement(X1))),complement(join(X1,complement(complement(X1)))))=complement(X1)),inference(rw,[status(thm)],[21746,20,theory(equality)])).
% cnf(24462,plain,(complement(complement(X1))=X1),inference(spm,[status(thm)],[164,24377,theory(equality)])).
% cnf(24529,plain,(join(complement(join(X1,X2)),complement(join(X1,complement(X2))))=complement(X1)),inference(spm,[status(thm)],[164,24462,theory(equality)])).
% cnf(24532,plain,(join(X1,complement(join(complement(X2),join(X1,complement(join(X1,X2))))))=join(X1,X2)),inference(spm,[status(thm)],[2406,24462,theory(equality)])).
% cnf(24533,plain,(join(complement(join(X1,X2)),complement(join(complement(X2),X1)))=complement(X1)),inference(spm,[status(thm)],[170,24462,theory(equality)])).
% cnf(24551,plain,(join(complement(join(X1,X2)),complement(join(X2,complement(X1))))=complement(X2)),inference(spm,[status(thm)],[174,24462,theory(equality)])).
% cnf(24556,plain,(join(complement(join(X1,X2)),complement(join(complement(X1),X2)))=complement(X2)),inference(spm,[status(thm)],[1651,24462,theory(equality)])).
% cnf(24886,plain,(join(complement(join(X1,join(complement(X2),complement(join(X1,X2))))),complement(complement(X1)))=join(X1,X2)),inference(spm,[status(thm)],[173,24529,theory(equality)])).
% cnf(24933,negated_conjecture,(join(complement(esk2_0),complement(join(esk2_0,complement(esk1_0))))=complement(esk2_0)),inference(spm,[status(thm)],[24529,28,theory(equality)])).
% cnf(25097,plain,(join(complement(join(X1,join(complement(X2),complement(join(X1,X2))))),X1)=join(X1,X2)),inference(rw,[status(thm)],[24886,24462,theory(equality)])).
% cnf(25835,plain,(join(complement(complement(X2)),complement(join(complement(complement(join(X2,complement(X1)))),complement(join(X1,X2)))))=complement(complement(join(X1,X2)))),inference(spm,[status(thm)],[24533,24551,theory(equality)])).
% cnf(26034,plain,(join(X2,complement(join(X2,join(complement(X1),complement(join(X1,X2))))))=complement(complement(join(X1,X2)))),inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[25835,24462,theory(equality)]),24462,theory(equality)]),18,theory(equality)])).
% cnf(26035,plain,(join(X2,complement(join(X2,join(complement(X1),complement(join(X1,X2))))))=join(X1,X2)),inference(rw,[status(thm)],[26034,24462,theory(equality)])).
% cnf(27365,plain,(join(X1,complement(join(X1,join(complement(X2),complement(join(X1,X2))))))=join(X1,X2)),inference(rw,[status(thm)],[25097,20,theory(equality)])).
% cnf(29013,negated_conjecture,(join(complement(esk1_0),complement(join(complement(esk1_0),complement(esk2_0))))=join(esk2_0,complement(esk1_0))),inference(spm,[status(thm)],[26035,24933,theory(equality)])).
% cnf(29194,negated_conjecture,(join(complement(esk1_0),complement(join(complement(esk2_0),complement(esk1_0))))=join(esk2_0,complement(esk1_0))),inference(rw,[status(thm)],[29013,20,theory(equality)])).
% cnf(30933,negated_conjecture,(join(esk2_0,complement(esk2_0))=join(esk2_0,complement(esk1_0))),inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[29194,4071,theory(equality)]),20,theory(equality)]),24462,theory(equality)]),28,theory(equality)])).
% cnf(30934,negated_conjecture,(join(join(esk2_0,complement(esk2_0)),X1)=join(esk2_0,join(complement(esk1_0),X1))),inference(spm,[status(thm)],[18,30933,theory(equality)])).
% cnf(30937,negated_conjecture,(join(esk2_0,complement(join(esk2_0,join(complement(complement(esk1_0)),complement(join(esk2_0,complement(esk2_0)))))))=join(esk2_0,complement(esk2_0))),inference(spm,[status(thm)],[27365,30933,theory(equality)])).
% cnf(30975,negated_conjecture,(join(complement(esk2_0),complement(join(esk2_0,complement(esk2_0))))=complement(esk2_0)),inference(rw,[status(thm)],[24933,30933,theory(equality)])).
% cnf(30980,negated_conjecture,(join(esk2_0,join(complement(esk2_0),X1))=join(esk2_0,join(complement(esk1_0),X1))),inference(rw,[status(thm)],[30934,18,theory(equality)])).
% cnf(30981,negated_conjecture,(join(esk2_0,complement(join(esk2_0,complement(join(esk2_0,complement(esk2_0))))))=join(esk2_0,complement(esk2_0))),inference(rw,[status(thm)],[inference(rw,[status(thm)],[30937,24462,theory(equality)]),37,theory(equality)])).
% cnf(31004,negated_conjecture,(join(complement(complement(esk2_0)),complement(join(complement(esk2_0),complement(complement(join(esk2_0,complement(esk2_0)))))))=complement(complement(esk2_0))),inference(spm,[status(thm)],[24529,30975,theory(equality)])).
% cnf(31055,negated_conjecture,(join(esk2_0,complement(join(complement(esk2_0),join(esk2_0,complement(esk2_0)))))=complement(complement(esk2_0))),inference(rw,[status(thm)],[inference(rw,[status(thm)],[31004,24462,theory(equality)]),24462,theory(equality)])).
% cnf(31056,negated_conjecture,(join(esk2_0,complement(join(complement(esk2_0),join(esk2_0,complement(esk2_0)))))=esk2_0),inference(rw,[status(thm)],[31055,24462,theory(equality)])).
% cnf(31168,negated_conjecture,(join(esk1_0,join(esk2_0,join(complement(esk2_0),complement(join(complement(esk2_0),complement(esk1_0))))))=join(esk2_0,join(complement(join(esk2_0,complement(complement(esk1_0)))),esk2_0))),inference(spm,[status(thm)],[13014,30980,theory(equality)])).
% cnf(31300,negated_conjecture,(join(esk2_0,complement(esk2_0))=join(esk2_0,join(complement(join(esk2_0,complement(complement(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)],[31168,4934,theory(equality)]),24462,theory(equality)]),20,theory(equality)]),28,theory(equality)]),42,theory(equality)]),37,theory(equality)])).
% cnf(31301,negated_conjecture,(join(esk2_0,complement(esk2_0))=join(esk2_0,join(esk2_0,complement(esk2_0)))),inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[31300,20,theory(equality)]),24462,theory(equality)]),28,theory(equality)])).
% cnf(31366,negated_conjecture,(join(join(esk2_0,complement(esk2_0)),X1)=join(esk2_0,join(join(esk2_0,complement(esk2_0)),X1))),inference(spm,[status(thm)],[18,31301,theory(equality)])).
% cnf(31395,negated_conjecture,(join(esk2_0,join(complement(esk2_0),X1))=join(esk2_0,join(join(esk2_0,complement(esk2_0)),X1))),inference(rw,[status(thm)],[31366,18,theory(equality)])).
% cnf(31396,negated_conjecture,(join(esk2_0,join(complement(esk2_0),X1))=join(esk2_0,join(esk2_0,join(complement(esk2_0),X1)))),inference(rw,[status(thm)],[31395,18,theory(equality)])).
% cnf(31543,negated_conjecture,(join(esk2_0,complement(join(esk2_0,join(complement(esk2_0),complement(esk2_0)))))=esk2_0),inference(rw,[status(thm)],[31056,42,theory(equality)])).
% cnf(48847,negated_conjecture,(join(esk2_0,complement(join(complement(complement(join(esk2_0,complement(esk2_0)))),join(esk2_0,complement(esk2_0)))))=join(esk2_0,complement(join(esk2_0,complement(esk2_0))))),inference(spm,[status(thm)],[24532,30981,theory(equality)])).
% cnf(48871,negated_conjecture,(esk2_0=join(esk2_0,complement(join(esk2_0,complement(esk2_0))))),inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[48847,24462,theory(equality)]),18,theory(equality)]),42,theory(equality)]),31396,theory(equality)]),31543,theory(equality)])).
% cnf(48897,negated_conjecture,(join(X1,esk2_0)=join(esk2_0,join(X1,complement(join(esk2_0,complement(esk2_0)))))),inference(spm,[status(thm)],[42,48871,theory(equality)])).
% cnf(58310,negated_conjecture,(join(complement(join(X1,esk2_0)),complement(join(join(X1,complement(join(esk2_0,complement(esk2_0)))),complement(esk2_0))))=complement(join(X1,complement(join(esk2_0,complement(esk2_0)))))),inference(spm,[status(thm)],[24551,48897,theory(equality)])).
% cnf(58391,negated_conjecture,(complement(X1)=complement(join(X1,complement(join(esk2_0,complement(esk2_0)))))),inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[58310,18,theory(equality)]),20,theory(equality)]),30975,theory(equality)]),24529,theory(equality)])).
% cnf(58511,negated_conjecture,(complement(complement(X1))=join(X1,complement(join(esk2_0,complement(esk2_0))))),inference(spm,[status(thm)],[24462,58391,theory(equality)])).
% cnf(58632,negated_conjecture,(X1=join(X1,complement(join(esk2_0,complement(esk2_0))))),inference(rw,[status(thm)],[58511,24462,theory(equality)])).
% cnf(58817,negated_conjecture,(join(complement(join(X1,complement(join(esk2_0,complement(esk2_0))))),complement(complement(X1)))=complement(complement(join(esk2_0,complement(esk2_0))))),inference(spm,[status(thm)],[24556,58632,theory(equality)])).
% cnf(58844,negated_conjecture,(X1=join(complement(join(esk2_0,complement(esk2_0))),X1)),inference(spm,[status(thm)],[20,58632,theory(equality)])).
% cnf(59013,negated_conjecture,(join(X1,complement(X1))=complement(complement(join(esk2_0,complement(esk2_0))))),inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[58817,58632,theory(equality)]),24462,theory(equality)]),20,theory(equality)])).
% cnf(59014,negated_conjecture,(join(X1,complement(X1))=join(esk2_0,complement(esk2_0))),inference(rw,[status(thm)],[59013,24462,theory(equality)])).
% cnf(59127,negated_conjecture,(join(complement(join(esk2_0,complement(esk2_0))),complement(join(complement(X1),complement(join(complement(join(esk2_0,complement(esk2_0))),X1)))))=join(complement(join(esk2_0,complement(esk2_0))),X1)),inference(spm,[status(thm)],[27365,58844,theory(equality)])).
% cnf(59444,negated_conjecture,(complement(join(complement(X1),complement(X1)))=join(complement(join(esk2_0,complement(esk2_0))),X1)),inference(rw,[status(thm)],[inference(rw,[status(thm)],[59127,58844,theory(equality)]),58844,theory(equality)])).
% cnf(59445,negated_conjecture,(complement(join(complement(X1),complement(X1)))=X1),inference(rw,[status(thm)],[59444,58844,theory(equality)])).
% cnf(59907,negated_conjecture,(complement(join(X1,X1))=complement(X1)),inference(spm,[status(thm)],[59445,24462,theory(equality)])).
% cnf(60073,negated_conjecture,(complement(complement(X1))=join(X1,X1)),inference(spm,[status(thm)],[24462,59907,theory(equality)])).
% cnf(60214,negated_conjecture,(X1=join(X1,X1)),inference(rw,[status(thm)],[60073,24462,theory(equality)])).
% cnf(60546,negated_conjecture,(join(X1,X2)=join(X1,join(join(X1,X2),X2))),inference(spm,[status(thm)],[42,60214,theory(equality)])).
% cnf(60944,negated_conjecture,(join(X1,X2)=join(X1,join(X1,X2))),inference(rw,[status(thm)],[inference(rw,[status(thm)],[60546,18,theory(equality)]),60214,theory(equality)])).
% cnf(61169,negated_conjecture,(join(complement(join(complement(X1),X2)),complement(join(complement(X1),complement(X2))))=join(complement(join(complement(X1),X2)),X1)),inference(spm,[status(thm)],[367,60944,theory(equality)])).
% cnf(61171,negated_conjecture,(join(complement(join(X1,complement(X2))),complement(join(complement(X2),complement(X1))))=join(complement(join(X1,complement(X2))),X2)),inference(spm,[status(thm)],[1661,60944,theory(equality)])).
% cnf(61422,negated_conjecture,(join(complement(join(X1,X2)),complement(X1))=complement(X1)),inference(spm,[status(thm)],[60944,24529,theory(equality)])).
% cnf(61424,negated_conjecture,(join(complement(join(X1,X2)),complement(X2))=complement(X2)),inference(spm,[status(thm)],[60944,24551,theory(equality)])).
% cnf(61692,negated_conjecture,(X1=join(complement(join(complement(X1),X2)),X1)),inference(rw,[status(thm)],[inference(rw,[status(thm)],[61169,24529,theory(equality)]),24462,theory(equality)])).
% cnf(61693,negated_conjecture,(X1=join(X1,complement(join(complement(X1),X2)))),inference(rw,[status(thm)],[61692,20,theory(equality)])).
% cnf(61696,negated_conjecture,(X2=join(complement(join(X1,complement(X2))),X2)),inference(rw,[status(thm)],[inference(rw,[status(thm)],[61171,24551,theory(equality)]),24462,theory(equality)])).
% cnf(61697,negated_conjecture,(X2=join(X2,complement(join(X1,complement(X2))))),inference(rw,[status(thm)],[61696,20,theory(equality)])).
% cnf(61969,negated_conjecture,(join(complement(X1),complement(join(X1,X2)))=complement(X1)),inference(rw,[status(thm)],[61422,20,theory(equality)])).
% cnf(61971,negated_conjecture,(join(complement(X2),complement(join(X1,X2)))=complement(X2)),inference(rw,[status(thm)],[61424,20,theory(equality)])).
% cnf(64587,negated_conjecture,(join(complement(join(X1,complement(X2))),X1)=join(X1,X2)),inference(spm,[status(thm)],[2358,61693,theory(equality)])).
% cnf(64648,negated_conjecture,(join(join(complement(X1),X2),complement(join(X1,X3)))=join(complement(X1),X2)),inference(spm,[status(thm)],[61693,165,theory(equality)])).
% cnf(64853,negated_conjecture,(join(X1,complement(join(X1,complement(X2))))=join(X1,X2)),inference(rw,[status(thm)],[64587,20,theory(equality)])).
% cnf(64903,negated_conjecture,(join(complement(X1),join(X2,complement(join(X1,X3))))=join(complement(X1),X2)),inference(rw,[status(thm)],[64648,18,theory(equality)])).
% cnf(69229,negated_conjecture,(join(complement(join(esk1_0,X1)),complement(join(esk2_0,X1)))=complement(join(esk1_0,X1))),inference(spm,[status(thm)],[61971,37,theory(equality)])).
% cnf(70537,negated_conjecture,(join(X1,complement(X1))=join(X2,complement(X2))),inference(spm,[status(thm)],[59014,59014,theory(equality)])).
% cnf(70539,negated_conjecture,(join(complement(join(X2,complement(X2))),X1)=X1),inference(spm,[status(thm)],[58844,59014,theory(equality)])).
% cnf(70655,negated_conjecture,(join(X1,join(esk2_0,complement(esk2_0)))=join(esk2_0,complement(esk2_0))),inference(spm,[status(thm)],[60944,59014,theory(equality)])).
% cnf(73907,negated_conjecture,(join(X1,join(X2,complement(X2)))=join(X2,complement(X2))),inference(spm,[status(thm)],[70655,70537,theory(equality)])).
% cnf(74919,negated_conjecture,(join(X2,complement(X2))=join(join(X2,complement(X2)),X1)),inference(spm,[status(thm)],[20,73907,theory(equality)])).
% cnf(75187,negated_conjecture,(join(X2,complement(X2))=join(X2,join(complement(X2),X1))),inference(rw,[status(thm)],[74919,18,theory(equality)])).
% cnf(79348,negated_conjecture,(join(complement(join(X1,X2)),complement(join(complement(X1),complement(join(X1,complement(X2))))))=complement(complement(join(X1,complement(X2))))),inference(spm,[status(thm)],[24556,64853,theory(equality)])).
% cnf(79572,negated_conjecture,(join(X1,complement(join(X1,X2)))=complement(complement(join(X1,complement(X2))))),inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[79348,61969,theory(equality)]),24462,theory(equality)]),20,theory(equality)])).
% cnf(79573,negated_conjecture,(join(X1,complement(join(X1,X2)))=join(X1,complement(X2))),inference(rw,[status(thm)],[79572,24462,theory(equality)])).
% cnf(79802,negated_conjecture,(join(X1,join(X2,complement(X3)))=join(X2,join(X1,complement(join(X2,X3))))),inference(spm,[status(thm)],[42,79573,theory(equality)])).
% cnf(79943,negated_conjecture,(join(complement(join(X1,X2)),complement(complement(X2)))=join(complement(join(X1,X2)),complement(complement(join(complement(X1),X2))))),inference(spm,[status(thm)],[79573,24556,theory(equality)])).
% cnf(79951,negated_conjecture,(join(X1,complement(join(X3,join(X1,X2))))=join(X1,complement(join(X2,X3)))),inference(spm,[status(thm)],[79573,33,theory(equality)])).
% cnf(80226,negated_conjecture,(join(X2,complement(join(X1,X2)))=join(complement(join(X1,X2)),complement(complement(join(complement(X1),X2))))),inference(rw,[status(thm)],[inference(rw,[status(thm)],[79943,24462,theory(equality)]),20,theory(equality)])).
% cnf(80227,negated_conjecture,(join(X2,complement(join(X1,X2)))=join(X2,complement(X1))),inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[80226,24462,theory(equality)]),33,theory(equality)]),20,theory(equality)]),61969,theory(equality)])).
% cnf(80618,negated_conjecture,(join(X1,join(X2,complement(X3)))=join(X2,join(X1,complement(join(X3,X2))))),inference(spm,[status(thm)],[42,80227,theory(equality)])).
% cnf(164813,negated_conjecture,(join(X1,complement(join(X2,join(X1,complement(X3)))))=join(X1,complement(join(X2,complement(join(X3,X1)))))),inference(spm,[status(thm)],[79573,80618,theory(equality)])).
% cnf(165333,negated_conjecture,(join(X1,complement(join(complement(X3),X2)))=join(X1,complement(join(X2,complement(join(X3,X1)))))),inference(rw,[status(thm)],[164813,79951,theory(equality)])).
% cnf(216797,negated_conjecture,(join(complement(join(esk2_0,X1)),complement(join(esk1_0,X1)))=complement(join(esk1_0,X1))),inference(rw,[status(thm)],[69229,20,theory(equality)])).
% cnf(217106,negated_conjecture,(join(complement(esk2_0),complement(join(esk1_0,complement(join(X1,complement(esk2_0))))))=complement(join(esk1_0,complement(join(X1,complement(esk2_0)))))),inference(spm,[status(thm)],[216797,61697,theory(equality)])).
% cnf(470667,negated_conjecture,(join(complement(esk2_0),complement(join(esk1_0,complement(X1))))=complement(join(esk1_0,complement(join(X1,complement(esk2_0)))))),inference(rw,[status(thm)],[inference(rw,[status(thm)],[217106,165333,theory(equality)]),20,theory(equality)])).
% cnf(472041,negated_conjecture,(join(complement(join(esk2_0,join(join(complement(esk2_0),complement(join(esk1_0,complement(X1)))),join(X2,X3)))),complement(join(join(complement(esk2_0),complement(join(esk1_0,complement(X1)))),complement(join(esk2_0,join(X3,X2))))))=join(esk1_0,complement(join(X1,complement(esk2_0))))),inference(spm,[status(thm)],[3708,470667,theory(equality)])).
% cnf(472338,negated_conjecture,(complement(join(esk1_0,complement(join(complement(esk2_0),X1))))=join(complement(esk2_0),complement(join(esk1_0,complement(X1))))),inference(spm,[status(thm)],[470667,20,theory(equality)])).
% cnf(472387,negated_conjecture,(complement(join(complement(esk2_0),complement(join(esk1_0,complement(X1)))))=join(esk1_0,complement(join(X1,complement(esk2_0))))),inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[472041,18,theory(equality)]),75187,theory(equality)]),18,theory(equality)]),64903,theory(equality)]),70539,theory(equality)])).
% cnf(475834,negated_conjecture,(complement(join(complement(esk2_0),complement(join(esk1_0,join(complement(esk2_0),complement(join(esk1_0,complement(X1))))))))=join(esk1_0,complement(join(join(esk1_0,complement(join(complement(esk2_0),X1))),complement(esk2_0))))),inference(spm,[status(thm)],[472387,472338,theory(equality)])).
% cnf(476322,negated_conjecture,(complement(join(complement(esk2_0),complement(join(X1,esk1_0))))=join(esk1_0,complement(join(join(esk1_0,complement(join(complement(esk2_0),X1))),complement(esk2_0))))),inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[475834,79802,theory(equality)]),24462,theory(equality)]),42,theory(equality)]),79951,theory(equality)])).
% cnf(476323,negated_conjecture,(complement(join(complement(esk2_0),complement(join(X1,esk1_0))))=join(esk1_0,complement(join(complement(esk2_0),complement(X1))))),inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[476322,18,theory(equality)]),20,theory(equality)]),79573,theory(equality)]),79573,theory(equality)])).
% cnf(476778,negated_conjecture,(complement(join(complement(esk2_0),complement(esk3_0)))=join(esk1_0,complement(join(complement(esk2_0),complement(esk3_0))))),inference(spm,[status(thm)],[476323,29,theory(equality)])).
% cnf(477250,negated_conjecture,($false),inference(sr,[status(thm)],[476778,27,theory(equality)])).
% cnf(477251,negated_conjecture,($false),477250,['proof']).
% # SZS output end CNFRefutation
% # Processed clauses : 13983
% # ...of these trivial : 8222
% # ...subsumed : 5020
% # ...remaining for further processing: 741
% # Other redundant clauses eliminated : 0
% # Clauses deleted for lack of memory : 0
% # Backward-subsumed : 1
% # Backward-rewritten : 358
% # Generated clauses : 240240
% # ...of the previous two non-trivial : 176611
% # Contextual simplify-reflections : 0
% # Paramodulations : 240240
% # Factorizations : 0
% # Equation resolutions : 0
% # Current number of processed clauses: 382
% # Positive orientable unit clauses: 376
% # Positive unorientable unit clauses: 5
% # Negative unit clauses : 1
% # Non-unit-clauses : 0
% # Current number of unprocessed clauses: 119786
% # ...number of literals in the above : 119786
% # Clause-clause subsumption calls (NU) : 0
% # Rec. Clause-clause subsumption calls : 0
% # Unit Clause-clause subsumption calls : 254
% # Rewrite failures with RHS unbound : 23
% # Indexed BW rewrite attempts : 21608
% # Indexed BW rewrite successes : 369
% # Backwards rewriting index: 122 leaves, 10.06+/-19.545 terms/leaf
% # Paramod-from index: 53 leaves, 7.25+/-13.894 terms/leaf
% # Paramod-into index: 116 leaves, 9.84+/-19.248 terms/leaf
% # -------------------------------------------------
% # User time : 10.441 s
% # System time : 0.373 s
% # Total time : 10.814 s
% # Maximum resident set size: 0 pages
% PrfWatch: 19.00 CPU 19.22 WC
% FINAL PrfWatch: 19.00 CPU 19.22 WC
% SZS output end Solution for /tmp/SystemOnTPTP10669/REL047+1.tptp
%
%------------------------------------------------------------------------------