TSTP Solution File: KLE120+1 by SRASS---0.1
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- Process Solution
%------------------------------------------------------------------------------
% File : SRASS---0.1
% Problem : KLE120+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 08:07:34 EST 2010
% Result : Theorem 3.59s
% Output : Solution 3.59s
% 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/SystemOnTPTP30946/KLE120+1.tptp
% Adding relevance values
% Extracting the conjecture
% Sorting axioms by relevance
% Looking for THM ...
% found
% SZS status THM for /tmp/SystemOnTPTP30946/KLE120+1.tptp
% SZS output start Solution for /tmp/SystemOnTPTP30946/KLE120+1.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 31078
% TreeLimitedRun: ----------------------------------------------------------
% PrfWatch: 0.00 CPU 0.01 WC
% # Preprocessing time : 0.012 s
% # Problem is unsatisfiable (or provable), constructing proof object
% # SZS status Theorem
% PrfWatch: 1.92 CPU 2.01 WC
% # SZS output start CNFRefutation.
% fof(1, axiom,![X1]:![X2]:addition(X1,X2)=addition(X2,X1),file('/tmp/SRASS.s.p', additive_commutativity)).
% fof(2, axiom,![X3]:![X2]:![X1]:addition(X1,addition(X2,X3))=addition(addition(X1,X2),X3),file('/tmp/SRASS.s.p', additive_associativity)).
% fof(3, axiom,![X1]:addition(X1,X1)=X1,file('/tmp/SRASS.s.p', additive_idempotence)).
% fof(4, axiom,![X1]:multiplication(X1,one)=X1,file('/tmp/SRASS.s.p', multiplicative_right_identity)).
% fof(5, axiom,![X1]:multiplication(one,X1)=X1,file('/tmp/SRASS.s.p', multiplicative_left_identity)).
% fof(6, axiom,![X4]:addition(antidomain(antidomain(X4)),antidomain(X4))=one,file('/tmp/SRASS.s.p', domain3)).
% fof(7, axiom,![X4]:addition(coantidomain(coantidomain(X4)),coantidomain(X4))=one,file('/tmp/SRASS.s.p', codomain3)).
% fof(8, axiom,![X1]:![X2]:![X3]:multiplication(X1,addition(X2,X3))=addition(multiplication(X1,X2),multiplication(X1,X3)),file('/tmp/SRASS.s.p', right_distributivity)).
% fof(9, axiom,![X1]:![X2]:![X3]:multiplication(addition(X1,X2),X3)=addition(multiplication(X1,X3),multiplication(X2,X3)),file('/tmp/SRASS.s.p', left_distributivity)).
% fof(10, axiom,![X4]:domain(X4)=antidomain(antidomain(X4)),file('/tmp/SRASS.s.p', domain4)).
% fof(11, axiom,![X1]:![X2]:![X3]:multiplication(X1,multiplication(X2,X3))=multiplication(multiplication(X1,X2),X3),file('/tmp/SRASS.s.p', multiplicative_associativity)).
% fof(12, axiom,![X1]:addition(X1,zero)=X1,file('/tmp/SRASS.s.p', additive_identity)).
% fof(13, axiom,![X4]:![X5]:backward_diamond(X4,X5)=codomain(multiplication(codomain(X5),X4)),file('/tmp/SRASS.s.p', backward_diamond)).
% fof(14, axiom,![X1]:![X2]:(leq(X1,X2)<=>addition(X1,X2)=X2),file('/tmp/SRASS.s.p', order)).
% fof(15, axiom,![X4]:![X5]:addition(coantidomain(multiplication(X4,X5)),coantidomain(multiplication(coantidomain(coantidomain(X4)),X5)))=coantidomain(multiplication(coantidomain(coantidomain(X4)),X5)),file('/tmp/SRASS.s.p', codomain2)).
% fof(19, axiom,![X1]:multiplication(X1,zero)=zero,file('/tmp/SRASS.s.p', right_annihilation)).
% fof(20, axiom,![X1]:multiplication(zero,X1)=zero,file('/tmp/SRASS.s.p', left_annihilation)).
% fof(23, axiom,![X4]:codomain(X4)=coantidomain(coantidomain(X4)),file('/tmp/SRASS.s.p', codomain4)).
% fof(24, axiom,![X4]:multiplication(X4,coantidomain(X4))=zero,file('/tmp/SRASS.s.p', codomain1)).
% fof(25, axiom,![X4]:multiplication(antidomain(X4),X4)=zero,file('/tmp/SRASS.s.p', domain1)).
% fof(27, conjecture,![X4]:addition(backward_diamond(one,domain(X4)),domain(X4))=domain(X4),file('/tmp/SRASS.s.p', goals)).
% fof(28, negated_conjecture,~(![X4]:addition(backward_diamond(one,domain(X4)),domain(X4))=domain(X4)),inference(assume_negation,[status(cth)],[27])).
% fof(29, plain,![X3]:![X4]:addition(X3,X4)=addition(X4,X3),inference(variable_rename,[status(thm)],[1])).
% cnf(30,plain,(addition(X1,X2)=addition(X2,X1)),inference(split_conjunct,[status(thm)],[29])).
% fof(31, plain,![X4]:![X5]:![X6]:addition(X6,addition(X5,X4))=addition(addition(X6,X5),X4),inference(variable_rename,[status(thm)],[2])).
% cnf(32,plain,(addition(X1,addition(X2,X3))=addition(addition(X1,X2),X3)),inference(split_conjunct,[status(thm)],[31])).
% fof(33, plain,![X2]:addition(X2,X2)=X2,inference(variable_rename,[status(thm)],[3])).
% cnf(34,plain,(addition(X1,X1)=X1),inference(split_conjunct,[status(thm)],[33])).
% fof(35, plain,![X2]:multiplication(X2,one)=X2,inference(variable_rename,[status(thm)],[4])).
% cnf(36,plain,(multiplication(X1,one)=X1),inference(split_conjunct,[status(thm)],[35])).
% fof(37, plain,![X2]:multiplication(one,X2)=X2,inference(variable_rename,[status(thm)],[5])).
% cnf(38,plain,(multiplication(one,X1)=X1),inference(split_conjunct,[status(thm)],[37])).
% fof(39, plain,![X5]:addition(antidomain(antidomain(X5)),antidomain(X5))=one,inference(variable_rename,[status(thm)],[6])).
% cnf(40,plain,(addition(antidomain(antidomain(X1)),antidomain(X1))=one),inference(split_conjunct,[status(thm)],[39])).
% fof(41, plain,![X5]:addition(coantidomain(coantidomain(X5)),coantidomain(X5))=one,inference(variable_rename,[status(thm)],[7])).
% cnf(42,plain,(addition(coantidomain(coantidomain(X1)),coantidomain(X1))=one),inference(split_conjunct,[status(thm)],[41])).
% fof(43, plain,![X4]:![X5]:![X6]:multiplication(X4,addition(X5,X6))=addition(multiplication(X4,X5),multiplication(X4,X6)),inference(variable_rename,[status(thm)],[8])).
% cnf(44,plain,(multiplication(X1,addition(X2,X3))=addition(multiplication(X1,X2),multiplication(X1,X3))),inference(split_conjunct,[status(thm)],[43])).
% fof(45, plain,![X4]:![X5]:![X6]:multiplication(addition(X4,X5),X6)=addition(multiplication(X4,X6),multiplication(X5,X6)),inference(variable_rename,[status(thm)],[9])).
% cnf(46,plain,(multiplication(addition(X1,X2),X3)=addition(multiplication(X1,X3),multiplication(X2,X3))),inference(split_conjunct,[status(thm)],[45])).
% fof(47, plain,![X5]:domain(X5)=antidomain(antidomain(X5)),inference(variable_rename,[status(thm)],[10])).
% cnf(48,plain,(domain(X1)=antidomain(antidomain(X1))),inference(split_conjunct,[status(thm)],[47])).
% fof(49, plain,![X4]:![X5]:![X6]:multiplication(X4,multiplication(X5,X6))=multiplication(multiplication(X4,X5),X6),inference(variable_rename,[status(thm)],[11])).
% cnf(50,plain,(multiplication(X1,multiplication(X2,X3))=multiplication(multiplication(X1,X2),X3)),inference(split_conjunct,[status(thm)],[49])).
% fof(51, plain,![X2]:addition(X2,zero)=X2,inference(variable_rename,[status(thm)],[12])).
% cnf(52,plain,(addition(X1,zero)=X1),inference(split_conjunct,[status(thm)],[51])).
% fof(53, plain,![X6]:![X7]:backward_diamond(X6,X7)=codomain(multiplication(codomain(X7),X6)),inference(variable_rename,[status(thm)],[13])).
% cnf(54,plain,(backward_diamond(X1,X2)=codomain(multiplication(codomain(X2),X1))),inference(split_conjunct,[status(thm)],[53])).
% fof(55, plain,![X1]:![X2]:((~(leq(X1,X2))|addition(X1,X2)=X2)&(~(addition(X1,X2)=X2)|leq(X1,X2))),inference(fof_nnf,[status(thm)],[14])).
% fof(56, plain,![X3]:![X4]:((~(leq(X3,X4))|addition(X3,X4)=X4)&(~(addition(X3,X4)=X4)|leq(X3,X4))),inference(variable_rename,[status(thm)],[55])).
% cnf(57,plain,(leq(X1,X2)|addition(X1,X2)!=X2),inference(split_conjunct,[status(thm)],[56])).
% cnf(58,plain,(addition(X1,X2)=X2|~leq(X1,X2)),inference(split_conjunct,[status(thm)],[56])).
% fof(59, plain,![X6]:![X7]:addition(coantidomain(multiplication(X6,X7)),coantidomain(multiplication(coantidomain(coantidomain(X6)),X7)))=coantidomain(multiplication(coantidomain(coantidomain(X6)),X7)),inference(variable_rename,[status(thm)],[15])).
% cnf(60,plain,(addition(coantidomain(multiplication(X1,X2)),coantidomain(multiplication(coantidomain(coantidomain(X1)),X2)))=coantidomain(multiplication(coantidomain(coantidomain(X1)),X2))),inference(split_conjunct,[status(thm)],[59])).
% fof(67, plain,![X2]:multiplication(X2,zero)=zero,inference(variable_rename,[status(thm)],[19])).
% cnf(68,plain,(multiplication(X1,zero)=zero),inference(split_conjunct,[status(thm)],[67])).
% fof(69, plain,![X2]:multiplication(zero,X2)=zero,inference(variable_rename,[status(thm)],[20])).
% cnf(70,plain,(multiplication(zero,X1)=zero),inference(split_conjunct,[status(thm)],[69])).
% fof(75, plain,![X5]:codomain(X5)=coantidomain(coantidomain(X5)),inference(variable_rename,[status(thm)],[23])).
% cnf(76,plain,(codomain(X1)=coantidomain(coantidomain(X1))),inference(split_conjunct,[status(thm)],[75])).
% fof(77, plain,![X5]:multiplication(X5,coantidomain(X5))=zero,inference(variable_rename,[status(thm)],[24])).
% cnf(78,plain,(multiplication(X1,coantidomain(X1))=zero),inference(split_conjunct,[status(thm)],[77])).
% fof(79, plain,![X5]:multiplication(antidomain(X5),X5)=zero,inference(variable_rename,[status(thm)],[25])).
% cnf(80,plain,(multiplication(antidomain(X1),X1)=zero),inference(split_conjunct,[status(thm)],[79])).
% fof(83, negated_conjecture,?[X4]:~(addition(backward_diamond(one,domain(X4)),domain(X4))=domain(X4)),inference(fof_nnf,[status(thm)],[28])).
% fof(84, negated_conjecture,?[X5]:~(addition(backward_diamond(one,domain(X5)),domain(X5))=domain(X5)),inference(variable_rename,[status(thm)],[83])).
% fof(85, negated_conjecture,~(addition(backward_diamond(one,domain(esk1_0)),domain(esk1_0))=domain(esk1_0)),inference(skolemize,[status(esa)],[84])).
% cnf(86,negated_conjecture,(addition(backward_diamond(one,domain(esk1_0)),domain(esk1_0))!=domain(esk1_0)),inference(split_conjunct,[status(thm)],[85])).
% cnf(90,negated_conjecture,(addition(backward_diamond(one,antidomain(antidomain(esk1_0))),antidomain(antidomain(esk1_0)))!=antidomain(antidomain(esk1_0))),inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[86,48,theory(equality)]),48,theory(equality)]),48,theory(equality)]),['unfolding']).
% cnf(93,plain,(coantidomain(coantidomain(multiplication(coantidomain(coantidomain(X2)),X1)))=backward_diamond(X1,X2)),inference(rw,[status(thm)],[inference(rw,[status(thm)],[54,76,theory(equality)]),76,theory(equality)]),['unfolding']).
% cnf(95,negated_conjecture,(addition(coantidomain(coantidomain(multiplication(coantidomain(coantidomain(antidomain(antidomain(esk1_0)))),one))),antidomain(antidomain(esk1_0)))!=antidomain(antidomain(esk1_0))),inference(rw,[status(thm)],[90,93,theory(equality)]),['unfolding']).
% cnf(96,negated_conjecture,(addition(coantidomain(coantidomain(coantidomain(coantidomain(antidomain(antidomain(esk1_0)))))),antidomain(antidomain(esk1_0)))!=antidomain(antidomain(esk1_0))),inference(rw,[status(thm)],[95,36,theory(equality)])).
% cnf(97,plain,(multiplication(multiplication(X2,coantidomain(X2)),X1)=multiplication(X2,coantidomain(X2))),inference(spm,[status(thm)],[70,78,theory(equality)])).
% cnf(99,plain,(multiplication(X1,multiplication(X2,coantidomain(X2)))=multiplication(X2,coantidomain(X2))),inference(spm,[status(thm)],[68,78,theory(equality)])).
% cnf(100,plain,(addition(X1,multiplication(X2,coantidomain(X2)))=X1),inference(spm,[status(thm)],[52,78,theory(equality)])).
% cnf(101,plain,(zero=coantidomain(one)),inference(spm,[status(thm)],[38,78,theory(equality)])).
% cnf(122,plain,(multiplication(multiplication(antidomain(X2),X2),X1)=multiplication(antidomain(X2),X2)),inference(spm,[status(thm)],[70,80,theory(equality)])).
% cnf(127,plain,(zero=antidomain(one)),inference(spm,[status(thm)],[36,80,theory(equality)])).
% cnf(135,plain,(addition(X1,X2)=addition(X1,addition(X1,X2))),inference(spm,[status(thm)],[32,34,theory(equality)])).
% cnf(174,plain,(leq(X1,addition(X1,X2))),inference(spm,[status(thm)],[57,135,theory(equality)])).
% cnf(191,plain,(addition(X3,addition(X1,X2))=addition(X1,addition(X2,X3))),inference(spm,[status(thm)],[32,30,theory(equality)])).
% cnf(192,plain,(addition(zero,X1)=X1),inference(spm,[status(thm)],[52,30,theory(equality)])).
% cnf(206,negated_conjecture,(addition(antidomain(antidomain(esk1_0)),coantidomain(coantidomain(coantidomain(coantidomain(antidomain(antidomain(esk1_0)))))))!=antidomain(antidomain(esk1_0))),inference(rw,[status(thm)],[96,30,theory(equality)])).
% cnf(221,plain,(addition(multiplication(X2,coantidomain(X2)),X1)=X1),inference(spm,[status(thm)],[192,78,theory(equality)])).
% cnf(279,plain,(addition(antidomain(X1),antidomain(antidomain(X1)))=one),inference(rw,[status(thm)],[40,30,theory(equality)])).
% cnf(290,plain,(addition(zero,antidomain(zero))=one),inference(spm,[status(thm)],[279,127,theory(equality)])).
% cnf(292,plain,(antidomain(zero)=one),inference(rw,[status(thm)],[290,192,theory(equality)])).
% cnf(304,plain,(antidomain(antidomain(zero))=zero),inference(rw,[status(thm)],[127,292,theory(equality)])).
% cnf(305,plain,(coantidomain(antidomain(zero))=zero),inference(rw,[status(thm)],[101,292,theory(equality)])).
% cnf(306,plain,(addition(antidomain(X1),antidomain(antidomain(X1)))=antidomain(zero)),inference(rw,[status(thm)],[279,292,theory(equality)])).
% cnf(307,plain,(multiplication(X1,antidomain(zero))=X1),inference(rw,[status(thm)],[36,292,theory(equality)])).
% cnf(308,plain,(multiplication(antidomain(zero),X1)=X1),inference(rw,[status(thm)],[38,292,theory(equality)])).
% cnf(396,plain,(addition(coantidomain(X1),coantidomain(coantidomain(X1)))=one),inference(rw,[status(thm)],[42,30,theory(equality)])).
% cnf(397,plain,(addition(coantidomain(X1),coantidomain(coantidomain(X1)))=antidomain(zero)),inference(rw,[status(thm)],[396,292,theory(equality)])).
% cnf(416,plain,(addition(zero,coantidomain(zero))=antidomain(zero)),inference(spm,[status(thm)],[397,305,theory(equality)])).
% cnf(420,plain,(coantidomain(zero)=antidomain(zero)),inference(rw,[status(thm)],[416,192,theory(equality)])).
% cnf(427,plain,(antidomain(coantidomain(zero))=zero),inference(rw,[status(thm)],[304,420,theory(equality)])).
% cnf(429,plain,(addition(coantidomain(X1),coantidomain(coantidomain(X1)))=coantidomain(zero)),inference(rw,[status(thm)],[397,420,theory(equality)])).
% cnf(430,plain,(multiplication(X1,coantidomain(zero))=X1),inference(rw,[status(thm)],[307,420,theory(equality)])).
% cnf(431,plain,(multiplication(coantidomain(zero),X1)=X1),inference(rw,[status(thm)],[308,420,theory(equality)])).
% cnf(437,plain,(antidomain(coantidomain(multiplication(X1,coantidomain(X1))))=multiplication(X1,coantidomain(X1))),inference(spm,[status(thm)],[427,78,theory(equality)])).
% cnf(456,plain,(multiplication(X1,coantidomain(multiplication(X2,coantidomain(X2))))=X1),inference(spm,[status(thm)],[430,78,theory(equality)])).
% cnf(907,plain,(multiplication(X2,multiplication(coantidomain(X2),X1))=multiplication(X2,coantidomain(X2))),inference(rw,[status(thm)],[97,50,theory(equality)])).
% cnf(1036,plain,(addition(antidomain(X1),antidomain(antidomain(X1)))=coantidomain(zero)),inference(rw,[status(thm)],[306,420,theory(equality)])).
% cnf(1046,plain,(multiplication(addition(antidomain(X2),antidomain(antidomain(X2))),X1)=X1),inference(spm,[status(thm)],[431,1036,theory(equality)])).
% cnf(1047,plain,(multiplication(X1,addition(antidomain(X2),antidomain(antidomain(X2))))=X1),inference(spm,[status(thm)],[430,1036,theory(equality)])).
% cnf(1054,plain,(addition(antidomain(X1),coantidomain(zero))=coantidomain(zero)),inference(spm,[status(thm)],[135,1036,theory(equality)])).
% cnf(1094,plain,(addition(multiplication(antidomain(X2),X1),multiplication(antidomain(antidomain(X2)),X1))=X1),inference(rw,[status(thm)],[1046,46,theory(equality)])).
% cnf(1095,plain,(addition(multiplication(X1,antidomain(X2)),multiplication(X1,antidomain(antidomain(X2))))=X1),inference(rw,[status(thm)],[1047,44,theory(equality)])).
% cnf(1130,plain,(multiplication(coantidomain(zero),X2)=addition(multiplication(antidomain(X1),X2),multiplication(coantidomain(zero),X2))),inference(spm,[status(thm)],[46,1054,theory(equality)])).
% cnf(1154,plain,(X2=addition(multiplication(antidomain(X1),X2),multiplication(coantidomain(zero),X2))),inference(rw,[status(thm)],[1130,431,theory(equality)])).
% cnf(1155,plain,(X2=addition(multiplication(antidomain(X1),X2),X2)),inference(rw,[status(thm)],[1154,431,theory(equality)])).
% cnf(1463,plain,(multiplication(antidomain(X2),multiplication(X2,X1))=multiplication(antidomain(X2),X2)),inference(rw,[status(thm)],[122,50,theory(equality)])).
% cnf(1467,plain,(multiplication(antidomain(X1),X1)=multiplication(X1,coantidomain(X1))),inference(spm,[status(thm)],[99,1463,theory(equality)])).
% cnf(1515,plain,(multiplication(addition(X1,X2),coantidomain(addition(X1,X2)))=addition(multiplication(antidomain(addition(X1,X2)),X1),multiplication(antidomain(addition(X1,X2)),X2))),inference(spm,[status(thm)],[44,1467,theory(equality)])).
% cnf(1532,plain,(multiplication(antidomain(X1),multiplication(X1,X2))=multiplication(X1,coantidomain(X1))),inference(rw,[status(thm)],[1463,1467,theory(equality)])).
% cnf(1540,plain,(addition(multiplication(X1,coantidomain(addition(X1,X2))),multiplication(X2,coantidomain(addition(X1,X2))))=addition(multiplication(antidomain(addition(X1,X2)),X1),multiplication(antidomain(addition(X1,X2)),X2))),inference(rw,[status(thm)],[1515,46,theory(equality)])).
% cnf(1574,plain,(addition(coantidomain(multiplication(X1,coantidomain(zero))),coantidomain(coantidomain(coantidomain(X1))))=coantidomain(coantidomain(coantidomain(X1)))),inference(spm,[status(thm)],[60,430,theory(equality)])).
% cnf(1605,plain,(addition(coantidomain(X1),coantidomain(coantidomain(coantidomain(X1))))=coantidomain(coantidomain(coantidomain(X1)))),inference(rw,[status(thm)],[1574,430,theory(equality)])).
% cnf(1661,plain,(multiplication(addition(coantidomain(X2),coantidomain(coantidomain(X2))),X1)=X1),inference(spm,[status(thm)],[431,429,theory(equality)])).
% cnf(1674,plain,(addition(coantidomain(X1),coantidomain(zero))=coantidomain(zero)),inference(spm,[status(thm)],[135,429,theory(equality)])).
% cnf(1716,plain,(addition(multiplication(coantidomain(X2),X1),multiplication(coantidomain(coantidomain(X2)),X1))=X1),inference(rw,[status(thm)],[1661,46,theory(equality)])).
% cnf(1742,plain,(coantidomain(zero)=addition(coantidomain(zero),coantidomain(X1))),inference(spm,[status(thm)],[30,1674,theory(equality)])).
% cnf(1745,plain,(multiplication(coantidomain(zero),X2)=addition(multiplication(coantidomain(X1),X2),multiplication(coantidomain(zero),X2))),inference(spm,[status(thm)],[46,1674,theory(equality)])).
% cnf(1767,plain,(X2=addition(multiplication(coantidomain(X1),X2),multiplication(coantidomain(zero),X2))),inference(rw,[status(thm)],[1745,431,theory(equality)])).
% cnf(1768,plain,(X2=addition(multiplication(coantidomain(X1),X2),X2)),inference(rw,[status(thm)],[1767,431,theory(equality)])).
% cnf(1831,plain,(addition(coantidomain(multiplication(X2,coantidomain(X2))),coantidomain(X1))=coantidomain(multiplication(X2,coantidomain(X2)))),inference(spm,[status(thm)],[1742,78,theory(equality)])).
% cnf(2042,plain,(addition(X2,multiplication(antidomain(X1),X2))=X2),inference(rw,[status(thm)],[1155,30,theory(equality)])).
% cnf(2845,plain,(addition(X2,multiplication(coantidomain(X1),X2))=X2),inference(rw,[status(thm)],[1768,30,theory(equality)])).
% cnf(3757,plain,(leq(X1,addition(X3,addition(X1,X2)))),inference(spm,[status(thm)],[174,191,theory(equality)])).
% cnf(7161,plain,(leq(coantidomain(X1),addition(X2,coantidomain(coantidomain(coantidomain(X1)))))),inference(spm,[status(thm)],[3757,1605,theory(equality)])).
% cnf(15113,plain,(leq(coantidomain(X1),addition(coantidomain(coantidomain(coantidomain(X1))),X2))),inference(spm,[status(thm)],[7161,30,theory(equality)])).
% cnf(21508,plain,(leq(coantidomain(X1),coantidomain(coantidomain(coantidomain(coantidomain(coantidomain(X1))))))),inference(spm,[status(thm)],[15113,1605,theory(equality)])).
% cnf(21579,plain,(addition(coantidomain(X1),coantidomain(coantidomain(coantidomain(coantidomain(coantidomain(X1))))))=coantidomain(coantidomain(coantidomain(coantidomain(coantidomain(X1)))))),inference(spm,[status(thm)],[58,21508,theory(equality)])).
% cnf(48520,plain,(addition(multiplication(X1,coantidomain(X1)),multiplication(antidomain(antidomain(X1)),multiplication(X1,X2)))=multiplication(X1,X2)),inference(spm,[status(thm)],[1094,1532,theory(equality)])).
% cnf(48521,plain,(addition(multiplication(X1,coantidomain(X1)),multiplication(antidomain(antidomain(X1)),X1))=X1),inference(spm,[status(thm)],[1094,1467,theory(equality)])).
% cnf(48652,plain,(multiplication(antidomain(antidomain(X1)),multiplication(X1,X2))=multiplication(X1,X2)),inference(rw,[status(thm)],[48520,221,theory(equality)])).
% cnf(48653,plain,(multiplication(antidomain(antidomain(X1)),X1)=X1),inference(rw,[status(thm)],[48521,221,theory(equality)])).
% cnf(49849,plain,(addition(multiplication(antidomain(antidomain(antidomain(X1))),antidomain(X1)),multiplication(antidomain(antidomain(X1)),coantidomain(antidomain(antidomain(X1)))))=antidomain(antidomain(antidomain(X1)))),inference(spm,[status(thm)],[1095,1467,theory(equality)])).
% cnf(49965,plain,(antidomain(X1)=antidomain(antidomain(antidomain(X1)))),inference(rw,[status(thm)],[inference(rw,[status(thm)],[49849,48653,theory(equality)]),100,theory(equality)])).
% cnf(50002,plain,(multiplication(antidomain(X1),antidomain(antidomain(X1)))=multiplication(antidomain(antidomain(X1)),coantidomain(antidomain(antidomain(X1))))),inference(spm,[status(thm)],[1467,49965,theory(equality)])).
% cnf(56753,plain,(multiplication(antidomain(antidomain(antidomain(antidomain(X1)))),multiplication(antidomain(X1),antidomain(antidomain(X1))))=multiplication(antidomain(X1),antidomain(antidomain(X1)))),inference(spm,[status(thm)],[48652,50002,theory(equality)])).
% cnf(56865,plain,(multiplication(antidomain(X1),coantidomain(antidomain(X1)))=multiplication(antidomain(X1),antidomain(antidomain(X1)))),inference(rw,[status(thm)],[inference(rw,[status(thm)],[56753,49965,theory(equality)]),1532,theory(equality)])).
% cnf(56956,plain,(addition(coantidomain(multiplication(antidomain(X1),coantidomain(antidomain(X1)))),coantidomain(multiplication(coantidomain(coantidomain(antidomain(X1))),antidomain(antidomain(X1)))))=coantidomain(multiplication(coantidomain(coantidomain(antidomain(X1))),antidomain(antidomain(X1))))),inference(spm,[status(thm)],[60,56865,theory(equality)])).
% cnf(57040,plain,(coantidomain(multiplication(antidomain(X1),coantidomain(antidomain(X1))))=coantidomain(multiplication(coantidomain(coantidomain(antidomain(X1))),antidomain(antidomain(X1))))),inference(rw,[status(thm)],[56956,1831,theory(equality)])).
% cnf(69403,plain,(antidomain(coantidomain(multiplication(multiplication(coantidomain(coantidomain(antidomain(X1))),antidomain(antidomain(X1))),coantidomain(multiplication(antidomain(X1),coantidomain(antidomain(X1)))))))=multiplication(multiplication(coantidomain(coantidomain(antidomain(X1))),antidomain(antidomain(X1))),coantidomain(multiplication(antidomain(X1),coantidomain(antidomain(X1)))))),inference(spm,[status(thm)],[437,57040,theory(equality)])).
% cnf(69622,plain,(multiplication(antidomain(X1),coantidomain(antidomain(X1)))=multiplication(multiplication(coantidomain(coantidomain(antidomain(X1))),antidomain(antidomain(X1))),coantidomain(multiplication(antidomain(X1),coantidomain(antidomain(X1)))))),inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[69403,50,theory(equality)]),456,theory(equality)]),57040,theory(equality)]),437,theory(equality)])).
% cnf(69623,plain,(multiplication(antidomain(X1),coantidomain(antidomain(X1)))=multiplication(coantidomain(coantidomain(antidomain(X1))),antidomain(antidomain(X1)))),inference(rw,[status(thm)],[inference(rw,[status(thm)],[69622,50,theory(equality)]),456,theory(equality)])).
% cnf(70325,plain,(addition(multiplication(antidomain(X1),coantidomain(antidomain(X1))),multiplication(coantidomain(coantidomain(antidomain(X1))),antidomain(antidomain(antidomain(X1)))))=coantidomain(coantidomain(antidomain(X1)))),inference(spm,[status(thm)],[1095,69623,theory(equality)])).
% cnf(70431,plain,(multiplication(coantidomain(coantidomain(antidomain(X1))),antidomain(X1))=coantidomain(coantidomain(antidomain(X1)))),inference(rw,[status(thm)],[inference(rw,[status(thm)],[70325,49965,theory(equality)]),221,theory(equality)])).
% cnf(86484,plain,(addition(multiplication(antidomain(X1),X1),multiplication(antidomain(X1),multiplication(coantidomain(X2),X1)))=addition(multiplication(X1,coantidomain(X1)),multiplication(multiplication(coantidomain(X2),X1),coantidomain(X1)))),inference(spm,[status(thm)],[1540,2845,theory(equality)])).
% cnf(86941,plain,(multiplication(antidomain(X1),multiplication(coantidomain(X2),X1))=addition(multiplication(X1,coantidomain(X1)),multiplication(multiplication(coantidomain(X2),X1),coantidomain(X1)))),inference(rw,[status(thm)],[inference(rw,[status(thm)],[86484,1467,theory(equality)]),221,theory(equality)])).
% cnf(86942,plain,(multiplication(antidomain(X1),multiplication(coantidomain(X2),X1))=multiplication(X1,coantidomain(X1))),inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[86941,50,theory(equality)]),99,theory(equality)]),100,theory(equality)])).
% cnf(93862,plain,(addition(multiplication(antidomain(X1),multiplication(coantidomain(X2),antidomain(X1))),multiplication(antidomain(X1),coantidomain(antidomain(X1))))=multiplication(coantidomain(X2),antidomain(X1))),inference(spm,[status(thm)],[1094,86942,theory(equality)])).
% cnf(94009,plain,(multiplication(antidomain(X1),multiplication(coantidomain(X2),antidomain(X1)))=multiplication(coantidomain(X2),antidomain(X1))),inference(rw,[status(thm)],[93862,100,theory(equality)])).
% cnf(107464,plain,(multiplication(coantidomain(antidomain(X1)),antidomain(X1))=multiplication(antidomain(X1),coantidomain(antidomain(X1)))),inference(spm,[status(thm)],[907,94009,theory(equality)])).
% cnf(107767,plain,(addition(multiplication(antidomain(X1),coantidomain(antidomain(X1))),multiplication(coantidomain(antidomain(X1)),antidomain(antidomain(X1))))=coantidomain(antidomain(X1))),inference(spm,[status(thm)],[1095,107464,theory(equality)])).
% cnf(107918,plain,(multiplication(coantidomain(antidomain(X1)),antidomain(antidomain(X1)))=coantidomain(antidomain(X1))),inference(rw,[status(thm)],[107767,221,theory(equality)])).
% cnf(112320,plain,(addition(multiplication(coantidomain(antidomain(X1)),antidomain(antidomain(X1))),multiplication(antidomain(X1),coantidomain(antidomain(X1))))=antidomain(antidomain(X1))),inference(spm,[status(thm)],[1716,69623,theory(equality)])).
% cnf(112321,plain,(addition(multiplication(coantidomain(antidomain(X1)),antidomain(X1)),coantidomain(coantidomain(antidomain(X1))))=antidomain(X1)),inference(spm,[status(thm)],[1716,70431,theory(equality)])).
% cnf(112527,plain,(coantidomain(antidomain(X1))=antidomain(antidomain(X1))),inference(rw,[status(thm)],[inference(rw,[status(thm)],[112320,107918,theory(equality)]),2042,theory(equality)])).
% cnf(112528,plain,(coantidomain(coantidomain(antidomain(X1)))=antidomain(X1)),inference(rw,[status(thm)],[inference(rw,[status(thm)],[112321,107464,theory(equality)]),221,theory(equality)])).
% cnf(113206,negated_conjecture,(coantidomain(coantidomain(coantidomain(coantidomain(coantidomain(antidomain(esk1_0))))))!=antidomain(antidomain(esk1_0))),inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[206,112527,theory(equality)]),112527,theory(equality)]),21579,theory(equality)])).
% cnf(113207,negated_conjecture,(coantidomain(coantidomain(coantidomain(coantidomain(coantidomain(antidomain(esk1_0))))))!=coantidomain(antidomain(esk1_0))),inference(rw,[status(thm)],[113206,112527,theory(equality)])).
% cnf(113518,negated_conjecture,($false),inference(rw,[status(thm)],[inference(rw,[status(thm)],[113207,112528,theory(equality)]),112528,theory(equality)])).
% cnf(113519,negated_conjecture,($false),inference(cn,[status(thm)],[113518,theory(equality)])).
% cnf(113520,negated_conjecture,($false),113519,['proof']).
% # SZS output end CNFRefutation
% # Processed clauses : 3488
% # ...of these trivial : 502
% # ...subsumed : 2403
% # ...remaining for further processing: 583
% # Other redundant clauses eliminated : 0
% # Clauses deleted for lack of memory : 0
% # Backward-subsumed : 1
% # Backward-rewritten : 268
% # Generated clauses : 58097
% # ...of the previous two non-trivial : 29778
% # Contextual simplify-reflections : 0
% # Paramodulations : 58091
% # Factorizations : 0
% # Equation resolutions : 6
% # Current number of processed clauses: 314
% # Positive orientable unit clauses: 225
% # Positive unorientable unit clauses: 12
% # Negative unit clauses : 0
% # Non-unit-clauses : 77
% # Current number of unprocessed clauses: 11082
% # ...number of literals in the above : 16245
% # Clause-clause subsumption calls (NU) : 8070
% # Rec. Clause-clause subsumption calls : 8070
% # Unit Clause-clause subsumption calls : 174
% # Rewrite failures with RHS unbound : 130
% # Indexed BW rewrite attempts : 828
% # Indexed BW rewrite successes : 242
% # Backwards rewriting index: 253 leaves, 1.85+/-1.438 terms/leaf
% # Paramod-from index: 170 leaves, 1.42+/-0.824 terms/leaf
% # Paramod-into index: 225 leaves, 1.83+/-1.466 terms/leaf
% # -------------------------------------------------
% # User time : 1.248 s
% # System time : 0.047 s
% # Total time : 1.295 s
% # Maximum resident set size: 0 pages
% PrfWatch: 2.54 CPU 2.67 WC
% FINAL PrfWatch: 2.54 CPU 2.67 WC
% SZS output end Solution for /tmp/SystemOnTPTP30946/KLE120+1.tptp
%
%------------------------------------------------------------------------------