TSTP Solution File: KLE097+1 by SRASS---0.1
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- Process Solution
%------------------------------------------------------------------------------
% File : SRASS---0.1
% Problem : KLE097+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 : art01.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 07:55:56 EST 2010
% Result : Theorem 5.25s
% Output : Solution 5.25s
% 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/SystemOnTPTP5075/KLE097+1.tptp
% Adding relevance values
% Extracting the conjecture
% Sorting axioms by relevance
% Looking for THM ...
% found
% SZS status THM for /tmp/SystemOnTPTP5075/KLE097+1.tptp
% SZS output start Solution for /tmp/SystemOnTPTP5075/KLE097+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 5171
% TreeLimitedRun: ----------------------------------------------------------
% PrfWatch: 0.00 CPU 0.02 WC
% PrfWatch: 1.92 CPU 2.03 WC
% # Preprocessing time : 0.013 s
% # Problem is unsatisfiable (or provable), constructing proof object
% # SZS status Theorem
% PrfWatch: 3.90 CPU 4.04 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]:![X2]:![X3]:multiplication(X1,multiplication(X2,X3))=multiplication(multiplication(X1,X2),X3),file('/tmp/SRASS.s.p', multiplicative_associativity)).
% fof(5, axiom,![X1]:![X2]:![X3]:multiplication(X1,addition(X2,X3))=addition(multiplication(X1,X2),multiplication(X1,X3)),file('/tmp/SRASS.s.p', right_distributivity)).
% fof(6, axiom,![X1]:![X2]:![X3]:multiplication(addition(X1,X2),X3)=addition(multiplication(X1,X3),multiplication(X2,X3)),file('/tmp/SRASS.s.p', left_distributivity)).
% fof(7, axiom,![X4]:![X5]:forward_diamond(X4,X5)=domain(multiplication(X4,domain(X5))),file('/tmp/SRASS.s.p', forward_diamond)).
% fof(8, axiom,![X4]:![X5]:addition(antidomain(multiplication(X4,X5)),antidomain(multiplication(X4,antidomain(antidomain(X5)))))=antidomain(multiplication(X4,antidomain(antidomain(X5)))),file('/tmp/SRASS.s.p', domain2)).
% fof(9, 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(10, axiom,![X4]:domain(X4)=antidomain(antidomain(X4)),file('/tmp/SRASS.s.p', domain4)).
% fof(12, axiom,![X1]:addition(X1,zero)=X1,file('/tmp/SRASS.s.p', additive_identity)).
% fof(13, axiom,![X1]:![X2]:(leq(X1,X2)<=>addition(X1,X2)=X2),file('/tmp/SRASS.s.p', order)).
% fof(14, axiom,![X1]:multiplication(X1,zero)=zero,file('/tmp/SRASS.s.p', right_annihilation)).
% fof(15, axiom,![X1]:multiplication(zero,X1)=zero,file('/tmp/SRASS.s.p', left_annihilation)).
% fof(16, axiom,![X1]:multiplication(X1,one)=X1,file('/tmp/SRASS.s.p', multiplicative_right_identity)).
% fof(17, axiom,![X1]:multiplication(one,X1)=X1,file('/tmp/SRASS.s.p', multiplicative_left_identity)).
% fof(20, axiom,![X4]:addition(antidomain(antidomain(X4)),antidomain(X4))=one,file('/tmp/SRASS.s.p', domain3)).
% fof(21, axiom,![X4]:multiplication(X4,coantidomain(X4))=zero,file('/tmp/SRASS.s.p', codomain1)).
% fof(22, axiom,![X4]:addition(coantidomain(coantidomain(X4)),coantidomain(X4))=one,file('/tmp/SRASS.s.p', codomain3)).
% fof(23, axiom,![X4]:multiplication(antidomain(X4),X4)=zero,file('/tmp/SRASS.s.p', domain1)).
% fof(27, conjecture,![X4]:![X5]:![X6]:(addition(forward_diamond(X4,domain(X5)),domain(X6))=domain(X6)<=addition(multiplication(X4,domain(X5)),multiplication(domain(X6),X4))=multiplication(domain(X6),X4)),file('/tmp/SRASS.s.p', goals)).
% fof(28, negated_conjecture,~(![X4]:![X5]:![X6]:(addition(forward_diamond(X4,domain(X5)),domain(X6))=domain(X6)<=addition(multiplication(X4,domain(X5)),multiplication(domain(X6),X4))=multiplication(domain(X6),X4))),inference(assume_negation,[status(cth)],[27])).
% fof(29, negated_conjecture,~(![X4]:![X5]:![X6]:(addition(multiplication(X4,domain(X5)),multiplication(domain(X6),X4))=multiplication(domain(X6),X4)=>addition(forward_diamond(X4,domain(X5)),domain(X6))=domain(X6))),inference(fof_simplification,[status(thm)],[28,theory(equality)])).
% fof(30, plain,![X3]:![X4]:addition(X3,X4)=addition(X4,X3),inference(variable_rename,[status(thm)],[1])).
% cnf(31,plain,(addition(X1,X2)=addition(X2,X1)),inference(split_conjunct,[status(thm)],[30])).
% fof(32, plain,![X4]:![X5]:![X6]:addition(X6,addition(X5,X4))=addition(addition(X6,X5),X4),inference(variable_rename,[status(thm)],[2])).
% cnf(33,plain,(addition(X1,addition(X2,X3))=addition(addition(X1,X2),X3)),inference(split_conjunct,[status(thm)],[32])).
% fof(34, plain,![X2]:addition(X2,X2)=X2,inference(variable_rename,[status(thm)],[3])).
% cnf(35,plain,(addition(X1,X1)=X1),inference(split_conjunct,[status(thm)],[34])).
% fof(36, plain,![X4]:![X5]:![X6]:multiplication(X4,multiplication(X5,X6))=multiplication(multiplication(X4,X5),X6),inference(variable_rename,[status(thm)],[4])).
% cnf(37,plain,(multiplication(X1,multiplication(X2,X3))=multiplication(multiplication(X1,X2),X3)),inference(split_conjunct,[status(thm)],[36])).
% fof(38, plain,![X4]:![X5]:![X6]:multiplication(X4,addition(X5,X6))=addition(multiplication(X4,X5),multiplication(X4,X6)),inference(variable_rename,[status(thm)],[5])).
% cnf(39,plain,(multiplication(X1,addition(X2,X3))=addition(multiplication(X1,X2),multiplication(X1,X3))),inference(split_conjunct,[status(thm)],[38])).
% fof(40, plain,![X4]:![X5]:![X6]:multiplication(addition(X4,X5),X6)=addition(multiplication(X4,X6),multiplication(X5,X6)),inference(variable_rename,[status(thm)],[6])).
% cnf(41,plain,(multiplication(addition(X1,X2),X3)=addition(multiplication(X1,X3),multiplication(X2,X3))),inference(split_conjunct,[status(thm)],[40])).
% fof(42, plain,![X6]:![X7]:forward_diamond(X6,X7)=domain(multiplication(X6,domain(X7))),inference(variable_rename,[status(thm)],[7])).
% cnf(43,plain,(forward_diamond(X1,X2)=domain(multiplication(X1,domain(X2)))),inference(split_conjunct,[status(thm)],[42])).
% fof(44, plain,![X6]:![X7]:addition(antidomain(multiplication(X6,X7)),antidomain(multiplication(X6,antidomain(antidomain(X7)))))=antidomain(multiplication(X6,antidomain(antidomain(X7)))),inference(variable_rename,[status(thm)],[8])).
% cnf(45,plain,(addition(antidomain(multiplication(X1,X2)),antidomain(multiplication(X1,antidomain(antidomain(X2)))))=antidomain(multiplication(X1,antidomain(antidomain(X2))))),inference(split_conjunct,[status(thm)],[44])).
% fof(46, 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)],[9])).
% cnf(47,plain,(addition(coantidomain(multiplication(X1,X2)),coantidomain(multiplication(coantidomain(coantidomain(X1)),X2)))=coantidomain(multiplication(coantidomain(coantidomain(X1)),X2))),inference(split_conjunct,[status(thm)],[46])).
% fof(48, plain,![X5]:domain(X5)=antidomain(antidomain(X5)),inference(variable_rename,[status(thm)],[10])).
% cnf(49,plain,(domain(X1)=antidomain(antidomain(X1))),inference(split_conjunct,[status(thm)],[48])).
% fof(52, plain,![X2]:addition(X2,zero)=X2,inference(variable_rename,[status(thm)],[12])).
% cnf(53,plain,(addition(X1,zero)=X1),inference(split_conjunct,[status(thm)],[52])).
% fof(54, plain,![X1]:![X2]:((~(leq(X1,X2))|addition(X1,X2)=X2)&(~(addition(X1,X2)=X2)|leq(X1,X2))),inference(fof_nnf,[status(thm)],[13])).
% fof(55, plain,![X3]:![X4]:((~(leq(X3,X4))|addition(X3,X4)=X4)&(~(addition(X3,X4)=X4)|leq(X3,X4))),inference(variable_rename,[status(thm)],[54])).
% cnf(56,plain,(leq(X1,X2)|addition(X1,X2)!=X2),inference(split_conjunct,[status(thm)],[55])).
% cnf(57,plain,(addition(X1,X2)=X2|~leq(X1,X2)),inference(split_conjunct,[status(thm)],[55])).
% fof(58, plain,![X2]:multiplication(X2,zero)=zero,inference(variable_rename,[status(thm)],[14])).
% cnf(59,plain,(multiplication(X1,zero)=zero),inference(split_conjunct,[status(thm)],[58])).
% fof(60, plain,![X2]:multiplication(zero,X2)=zero,inference(variable_rename,[status(thm)],[15])).
% cnf(61,plain,(multiplication(zero,X1)=zero),inference(split_conjunct,[status(thm)],[60])).
% fof(62, plain,![X2]:multiplication(X2,one)=X2,inference(variable_rename,[status(thm)],[16])).
% cnf(63,plain,(multiplication(X1,one)=X1),inference(split_conjunct,[status(thm)],[62])).
% fof(64, plain,![X2]:multiplication(one,X2)=X2,inference(variable_rename,[status(thm)],[17])).
% cnf(65,plain,(multiplication(one,X1)=X1),inference(split_conjunct,[status(thm)],[64])).
% fof(70, plain,![X5]:addition(antidomain(antidomain(X5)),antidomain(X5))=one,inference(variable_rename,[status(thm)],[20])).
% cnf(71,plain,(addition(antidomain(antidomain(X1)),antidomain(X1))=one),inference(split_conjunct,[status(thm)],[70])).
% fof(72, plain,![X5]:multiplication(X5,coantidomain(X5))=zero,inference(variable_rename,[status(thm)],[21])).
% cnf(73,plain,(multiplication(X1,coantidomain(X1))=zero),inference(split_conjunct,[status(thm)],[72])).
% fof(74, plain,![X5]:addition(coantidomain(coantidomain(X5)),coantidomain(X5))=one,inference(variable_rename,[status(thm)],[22])).
% cnf(75,plain,(addition(coantidomain(coantidomain(X1)),coantidomain(X1))=one),inference(split_conjunct,[status(thm)],[74])).
% fof(76, plain,![X5]:multiplication(antidomain(X5),X5)=zero,inference(variable_rename,[status(thm)],[23])).
% cnf(77,plain,(multiplication(antidomain(X1),X1)=zero),inference(split_conjunct,[status(thm)],[76])).
% fof(84, negated_conjecture,?[X4]:?[X5]:?[X6]:(addition(multiplication(X4,domain(X5)),multiplication(domain(X6),X4))=multiplication(domain(X6),X4)&~(addition(forward_diamond(X4,domain(X5)),domain(X6))=domain(X6))),inference(fof_nnf,[status(thm)],[29])).
% fof(85, negated_conjecture,?[X7]:?[X8]:?[X9]:(addition(multiplication(X7,domain(X8)),multiplication(domain(X9),X7))=multiplication(domain(X9),X7)&~(addition(forward_diamond(X7,domain(X8)),domain(X9))=domain(X9))),inference(variable_rename,[status(thm)],[84])).
% fof(86, negated_conjecture,(addition(multiplication(esk1_0,domain(esk2_0)),multiplication(domain(esk3_0),esk1_0))=multiplication(domain(esk3_0),esk1_0)&~(addition(forward_diamond(esk1_0,domain(esk2_0)),domain(esk3_0))=domain(esk3_0))),inference(skolemize,[status(esa)],[85])).
% cnf(87,negated_conjecture,(addition(forward_diamond(esk1_0,domain(esk2_0)),domain(esk3_0))!=domain(esk3_0)),inference(split_conjunct,[status(thm)],[86])).
% cnf(88,negated_conjecture,(addition(multiplication(esk1_0,domain(esk2_0)),multiplication(domain(esk3_0),esk1_0))=multiplication(domain(esk3_0),esk1_0)),inference(split_conjunct,[status(thm)],[86])).
% cnf(91,plain,(antidomain(antidomain(multiplication(X1,antidomain(antidomain(X2)))))=forward_diamond(X1,X2)),inference(rw,[status(thm)],[inference(rw,[status(thm)],[43,49,theory(equality)]),49,theory(equality)]),['unfolding']).
% cnf(95,negated_conjecture,(addition(multiplication(esk1_0,antidomain(antidomain(esk2_0))),multiplication(antidomain(antidomain(esk3_0)),esk1_0))=multiplication(antidomain(antidomain(esk3_0)),esk1_0)),inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[88,49,theory(equality)]),49,theory(equality)]),49,theory(equality)]),['unfolding']).
% cnf(96,negated_conjecture,(addition(forward_diamond(esk1_0,antidomain(antidomain(esk2_0))),antidomain(antidomain(esk3_0)))!=antidomain(antidomain(esk3_0))),inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[87,49,theory(equality)]),49,theory(equality)]),49,theory(equality)]),['unfolding']).
% cnf(99,negated_conjecture,(addition(antidomain(antidomain(multiplication(esk1_0,antidomain(antidomain(antidomain(antidomain(esk2_0))))))),antidomain(antidomain(esk3_0)))!=antidomain(antidomain(esk3_0))),inference(rw,[status(thm)],[96,91,theory(equality)]),['unfolding']).
% cnf(101,plain,(multiplication(X1,multiplication(X2,coantidomain(X2)))=multiplication(X2,coantidomain(X2))),inference(spm,[status(thm)],[59,73,theory(equality)])).
% cnf(102,plain,(multiplication(multiplication(X2,coantidomain(X2)),X1)=multiplication(X2,coantidomain(X2))),inference(spm,[status(thm)],[61,73,theory(equality)])).
% cnf(103,plain,(addition(X1,multiplication(X2,coantidomain(X2)))=X1),inference(spm,[status(thm)],[53,73,theory(equality)])).
% cnf(104,plain,(zero=coantidomain(one)),inference(spm,[status(thm)],[65,73,theory(equality)])).
% cnf(110,plain,(multiplication(multiplication(antidomain(X2),X2),X1)=multiplication(antidomain(X2),X2)),inference(spm,[status(thm)],[61,77,theory(equality)])).
% cnf(112,plain,(zero=antidomain(one)),inference(spm,[status(thm)],[63,77,theory(equality)])).
% cnf(138,plain,(addition(X1,X2)=addition(X1,addition(X1,X2))),inference(spm,[status(thm)],[33,35,theory(equality)])).
% cnf(177,plain,(leq(X1,addition(X1,X2))),inference(spm,[status(thm)],[56,138,theory(equality)])).
% cnf(205,plain,(addition(X3,addition(X1,X2))=addition(X1,addition(X2,X3))),inference(spm,[status(thm)],[33,31,theory(equality)])).
% cnf(206,plain,(addition(zero,X1)=X1),inference(spm,[status(thm)],[53,31,theory(equality)])).
% cnf(212,plain,(leq(X1,addition(X2,X1))),inference(spm,[status(thm)],[177,31,theory(equality)])).
% cnf(236,plain,(addition(multiplication(X2,coantidomain(X2)),X1)=X1),inference(spm,[status(thm)],[206,73,theory(equality)])).
% cnf(251,plain,(leq(X1,addition(X2,addition(X3,X1)))),inference(spm,[status(thm)],[212,33,theory(equality)])).
% cnf(283,plain,(addition(antidomain(X1),antidomain(antidomain(X1)))=one),inference(rw,[status(thm)],[71,31,theory(equality)])).
% cnf(294,plain,(addition(zero,antidomain(zero))=one),inference(spm,[status(thm)],[283,112,theory(equality)])).
% cnf(296,plain,(antidomain(zero)=one),inference(rw,[status(thm)],[294,206,theory(equality)])).
% cnf(298,plain,(antidomain(antidomain(zero))=zero),inference(rw,[status(thm)],[112,296,theory(equality)])).
% cnf(299,plain,(coantidomain(antidomain(zero))=zero),inference(rw,[status(thm)],[104,296,theory(equality)])).
% cnf(300,plain,(addition(antidomain(X1),antidomain(antidomain(X1)))=antidomain(zero)),inference(rw,[status(thm)],[283,296,theory(equality)])).
% cnf(301,plain,(multiplication(X1,antidomain(zero))=X1),inference(rw,[status(thm)],[63,296,theory(equality)])).
% cnf(302,plain,(multiplication(antidomain(zero),X1)=X1),inference(rw,[status(thm)],[65,296,theory(equality)])).
% cnf(399,plain,(addition(coantidomain(X1),coantidomain(coantidomain(X1)))=one),inference(rw,[status(thm)],[75,31,theory(equality)])).
% cnf(400,plain,(addition(coantidomain(X1),coantidomain(coantidomain(X1)))=antidomain(zero)),inference(rw,[status(thm)],[399,296,theory(equality)])).
% cnf(419,plain,(addition(zero,coantidomain(zero))=antidomain(zero)),inference(spm,[status(thm)],[400,299,theory(equality)])).
% cnf(423,plain,(coantidomain(zero)=antidomain(zero)),inference(rw,[status(thm)],[419,206,theory(equality)])).
% cnf(427,plain,(antidomain(multiplication(X1,coantidomain(X1)))=coantidomain(multiplication(X1,coantidomain(X1)))),inference(spm,[status(thm)],[423,73,theory(equality)])).
% cnf(430,plain,(antidomain(coantidomain(zero))=zero),inference(rw,[status(thm)],[298,423,theory(equality)])).
% cnf(431,plain,(coantidomain(coantidomain(zero))=zero),inference(rw,[status(thm)],[299,423,theory(equality)])).
% cnf(432,plain,(addition(coantidomain(X1),coantidomain(coantidomain(X1)))=coantidomain(zero)),inference(rw,[status(thm)],[400,423,theory(equality)])).
% cnf(433,plain,(multiplication(X1,coantidomain(zero))=X1),inference(rw,[status(thm)],[301,423,theory(equality)])).
% cnf(434,plain,(multiplication(coantidomain(zero),X1)=X1),inference(rw,[status(thm)],[302,423,theory(equality)])).
% cnf(439,plain,(antidomain(coantidomain(multiplication(X1,coantidomain(X1))))=multiplication(X1,coantidomain(X1))),inference(spm,[status(thm)],[430,73,theory(equality)])).
% cnf(458,plain,(multiplication(X1,coantidomain(multiplication(X2,coantidomain(X2))))=X1),inference(spm,[status(thm)],[433,73,theory(equality)])).
% cnf(468,plain,(multiplication(coantidomain(multiplication(X2,coantidomain(X2))),X1)=X1),inference(spm,[status(thm)],[434,73,theory(equality)])).
% cnf(533,plain,(antidomain(multiplication(X1,multiplication(X2,coantidomain(multiplication(X1,X2)))))=coantidomain(multiplication(X1,multiplication(X2,coantidomain(multiplication(X1,X2)))))),inference(spm,[status(thm)],[427,37,theory(equality)])).
% cnf(969,plain,(addition(multiplication(X1,coantidomain(addition(X1,X2))),multiplication(X2,coantidomain(addition(X1,X2))))=zero),inference(spm,[status(thm)],[73,41,theory(equality)])).
% cnf(1022,plain,(addition(antidomain(X1),antidomain(antidomain(X1)))=coantidomain(zero)),inference(rw,[status(thm)],[300,423,theory(equality)])).
% cnf(1033,plain,(multiplication(addition(antidomain(X2),antidomain(antidomain(X2))),X1)=X1),inference(spm,[status(thm)],[434,1022,theory(equality)])).
% cnf(1034,plain,(multiplication(X1,addition(antidomain(X2),antidomain(antidomain(X2))))=X1),inference(spm,[status(thm)],[433,1022,theory(equality)])).
% cnf(1041,plain,(addition(antidomain(X1),coantidomain(zero))=coantidomain(zero)),inference(spm,[status(thm)],[138,1022,theory(equality)])).
% cnf(1082,plain,(addition(multiplication(antidomain(X2),X1),multiplication(antidomain(antidomain(X2)),X1))=X1),inference(rw,[status(thm)],[1033,41,theory(equality)])).
% cnf(1083,plain,(addition(multiplication(X1,antidomain(X2)),multiplication(X1,antidomain(antidomain(X2))))=X1),inference(rw,[status(thm)],[1034,39,theory(equality)])).
% cnf(1132,plain,(coantidomain(zero)=addition(coantidomain(zero),antidomain(X1))),inference(spm,[status(thm)],[31,1041,theory(equality)])).
% cnf(1135,plain,(multiplication(coantidomain(zero),X2)=addition(multiplication(antidomain(X1),X2),multiplication(coantidomain(zero),X2))),inference(spm,[status(thm)],[41,1041,theory(equality)])).
% cnf(1159,plain,(X2=addition(multiplication(antidomain(X1),X2),multiplication(coantidomain(zero),X2))),inference(rw,[status(thm)],[1135,434,theory(equality)])).
% cnf(1160,plain,(X2=addition(multiplication(antidomain(X1),X2),X2)),inference(rw,[status(thm)],[1159,434,theory(equality)])).
% cnf(1210,plain,(addition(coantidomain(multiplication(X2,coantidomain(X2))),antidomain(X1))=coantidomain(multiplication(X2,coantidomain(X2)))),inference(spm,[status(thm)],[1132,73,theory(equality)])).
% cnf(1237,negated_conjecture,(multiplication(multiplication(antidomain(antidomain(esk3_0)),esk1_0),X1)=addition(multiplication(multiplication(esk1_0,antidomain(antidomain(esk2_0))),X1),multiplication(multiplication(antidomain(antidomain(esk3_0)),esk1_0),X1))),inference(spm,[status(thm)],[41,95,theory(equality)])).
% cnf(1249,negated_conjecture,(multiplication(antidomain(antidomain(esk3_0)),multiplication(esk1_0,X1))=addition(multiplication(multiplication(esk1_0,antidomain(antidomain(esk2_0))),X1),multiplication(multiplication(antidomain(antidomain(esk3_0)),esk1_0),X1))),inference(rw,[status(thm)],[1237,37,theory(equality)])).
% cnf(1250,negated_conjecture,(multiplication(antidomain(antidomain(esk3_0)),multiplication(esk1_0,X1))=addition(multiplication(esk1_0,multiplication(antidomain(antidomain(esk2_0)),X1)),multiplication(antidomain(antidomain(esk3_0)),multiplication(esk1_0,X1)))),inference(rw,[status(thm)],[inference(rw,[status(thm)],[1249,37,theory(equality)]),37,theory(equality)])).
% cnf(1296,plain,(multiplication(X2,multiplication(coantidomain(X2),X1))=multiplication(X2,coantidomain(X2))),inference(rw,[status(thm)],[102,37,theory(equality)])).
% cnf(1304,plain,(multiplication(X1,coantidomain(X1))=multiplication(coantidomain(X1),coantidomain(coantidomain(X1)))),inference(spm,[status(thm)],[101,1296,theory(equality)])).
% cnf(1450,plain,(multiplication(antidomain(X2),multiplication(X2,X1))=multiplication(antidomain(X2),X2)),inference(rw,[status(thm)],[110,37,theory(equality)])).
% cnf(1454,plain,(multiplication(antidomain(X1),X1)=multiplication(X1,coantidomain(X1))),inference(spm,[status(thm)],[101,1450,theory(equality)])).
% cnf(1503,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)],[39,1454,theory(equality)])).
% cnf(1520,plain,(multiplication(antidomain(X1),multiplication(X1,X2))=multiplication(X1,coantidomain(X1))),inference(rw,[status(thm)],[1450,1454,theory(equality)])).
% cnf(1526,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)],[1503,41,theory(equality)])).
% cnf(1569,plain,(addition(antidomain(zero),antidomain(multiplication(X1,antidomain(antidomain(coantidomain(X1))))))=antidomain(multiplication(X1,antidomain(antidomain(coantidomain(X1)))))),inference(spm,[status(thm)],[45,73,theory(equality)])).
% cnf(1607,plain,(coantidomain(zero)=antidomain(multiplication(X1,antidomain(antidomain(coantidomain(X1)))))),inference(rw,[status(thm)],[inference(rw,[status(thm)],[1569,423,theory(equality)]),1132,theory(equality)])).
% cnf(1646,plain,(multiplication(addition(coantidomain(X2),coantidomain(coantidomain(X2))),X1)=X1),inference(spm,[status(thm)],[434,432,theory(equality)])).
% cnf(1650,plain,(coantidomain(addition(coantidomain(X1),coantidomain(coantidomain(X1))))=zero),inference(spm,[status(thm)],[431,432,theory(equality)])).
% cnf(1659,plain,(addition(coantidomain(X1),coantidomain(zero))=coantidomain(zero)),inference(spm,[status(thm)],[138,432,theory(equality)])).
% cnf(1700,plain,(addition(multiplication(coantidomain(X2),X1),multiplication(coantidomain(coantidomain(X2)),X1))=X1),inference(rw,[status(thm)],[1646,41,theory(equality)])).
% cnf(1752,plain,(coantidomain(zero)=addition(coantidomain(zero),coantidomain(X1))),inference(spm,[status(thm)],[31,1659,theory(equality)])).
% cnf(1755,plain,(multiplication(coantidomain(zero),X2)=addition(multiplication(coantidomain(X1),X2),multiplication(coantidomain(zero),X2))),inference(spm,[status(thm)],[41,1659,theory(equality)])).
% cnf(1766,plain,(multiplication(X1,coantidomain(zero))=addition(multiplication(X1,coantidomain(X2)),multiplication(X1,coantidomain(zero)))),inference(spm,[status(thm)],[39,1659,theory(equality)])).
% cnf(1778,plain,(X2=addition(multiplication(coantidomain(X1),X2),multiplication(coantidomain(zero),X2))),inference(rw,[status(thm)],[1755,434,theory(equality)])).
% cnf(1779,plain,(X2=addition(multiplication(coantidomain(X1),X2),X2)),inference(rw,[status(thm)],[1778,434,theory(equality)])).
% cnf(1785,plain,(X1=addition(multiplication(X1,coantidomain(X2)),multiplication(X1,coantidomain(zero)))),inference(rw,[status(thm)],[1766,433,theory(equality)])).
% cnf(1786,plain,(X1=addition(multiplication(X1,coantidomain(X2)),X1)),inference(rw,[status(thm)],[1785,433,theory(equality)])).
% cnf(1814,plain,(addition(coantidomain(multiplication(X2,coantidomain(X2))),coantidomain(X1))=coantidomain(multiplication(X2,coantidomain(X2)))),inference(spm,[status(thm)],[1752,73,theory(equality)])).
% cnf(1816,plain,(addition(addition(coantidomain(X2),coantidomain(coantidomain(X2))),coantidomain(X1))=addition(coantidomain(X2),coantidomain(coantidomain(X2)))),inference(spm,[status(thm)],[1752,432,theory(equality)])).
% cnf(1834,plain,(addition(coantidomain(X2),addition(coantidomain(coantidomain(X2)),coantidomain(X1)))=addition(coantidomain(X2),coantidomain(coantidomain(X2)))),inference(rw,[status(thm)],[1816,33,theory(equality)])).
% cnf(1860,plain,(addition(coantidomain(multiplication(X1,coantidomain(zero))),coantidomain(coantidomain(coantidomain(X1))))=coantidomain(coantidomain(coantidomain(X1)))),inference(spm,[status(thm)],[47,433,theory(equality)])).
% cnf(1874,plain,(addition(coantidomain(zero),coantidomain(multiplication(coantidomain(coantidomain(X1)),coantidomain(X1))))=coantidomain(multiplication(coantidomain(coantidomain(X1)),coantidomain(X1)))),inference(spm,[status(thm)],[47,73,theory(equality)])).
% cnf(1892,plain,(addition(coantidomain(X1),coantidomain(coantidomain(coantidomain(X1))))=coantidomain(coantidomain(coantidomain(X1)))),inference(rw,[status(thm)],[1860,433,theory(equality)])).
% cnf(1908,plain,(coantidomain(zero)=coantidomain(multiplication(coantidomain(coantidomain(X1)),coantidomain(X1)))),inference(rw,[status(thm)],[1874,1752,theory(equality)])).
% cnf(2104,plain,(addition(X2,multiplication(antidomain(X1),X2))=X2),inference(rw,[status(thm)],[1160,31,theory(equality)])).
% cnf(2792,plain,(addition(X2,multiplication(coantidomain(X1),X2))=X2),inference(rw,[status(thm)],[1779,31,theory(equality)])).
% cnf(2865,plain,(addition(X1,multiplication(X1,coantidomain(X2)))=X1),inference(rw,[status(thm)],[1786,31,theory(equality)])).
% cnf(4271,plain,(multiplication(X1,coantidomain(addition(coantidomain(X2),coantidomain(coantidomain(X2)))))=coantidomain(addition(coantidomain(X2),coantidomain(coantidomain(X2))))),inference(spm,[status(thm)],[59,1650,theory(equality)])).
% cnf(4277,plain,(coantidomain(coantidomain(coantidomain(addition(coantidomain(X1),coantidomain(coantidomain(X1))))))=coantidomain(addition(coantidomain(X1),coantidomain(coantidomain(X1))))),inference(spm,[status(thm)],[431,1650,theory(equality)])).
% cnf(4456,plain,(leq(X1,addition(X3,addition(X1,X2)))),inference(spm,[status(thm)],[177,205,theory(equality)])).
% cnf(6156,plain,(leq(multiplication(antidomain(X1),X2),addition(X3,X2))),inference(spm,[status(thm)],[251,2104,theory(equality)])).
% cnf(7334,plain,(leq(coantidomain(X1),addition(X2,coantidomain(coantidomain(coantidomain(X1)))))),inference(spm,[status(thm)],[4456,1892,theory(equality)])).
% cnf(8888,plain,(antidomain(coantidomain(multiplication(multiplication(coantidomain(coantidomain(X1)),coantidomain(X1)),coantidomain(zero))))=multiplication(multiplication(coantidomain(coantidomain(X1)),coantidomain(X1)),coantidomain(zero))),inference(spm,[status(thm)],[439,1908,theory(equality)])).
% cnf(9080,plain,(antidomain(coantidomain(multiplication(coantidomain(coantidomain(X1)),coantidomain(X1))))=multiplication(multiplication(coantidomain(coantidomain(X1)),coantidomain(X1)),coantidomain(zero))),inference(rw,[status(thm)],[inference(rw,[status(thm)],[8888,37,theory(equality)]),433,theory(equality)])).
% cnf(9081,plain,(antidomain(coantidomain(multiplication(coantidomain(coantidomain(X1)),coantidomain(X1))))=multiplication(coantidomain(coantidomain(X1)),coantidomain(X1))),inference(rw,[status(thm)],[inference(rw,[status(thm)],[9080,37,theory(equality)]),433,theory(equality)])).
% cnf(11082,plain,(coantidomain(multiplication(X1,coantidomain(X1)))=coantidomain(multiplication(coantidomain(coantidomain(X1)),coantidomain(X1)))),inference(spm,[status(thm)],[47,1814,theory(equality)])).
% cnf(11270,plain,(multiplication(X1,coantidomain(X1))=multiplication(coantidomain(coantidomain(X1)),coantidomain(X1))),inference(rw,[status(thm)],[inference(rw,[status(thm)],[9081,11082,theory(equality)]),439,theory(equality)])).
% cnf(11392,plain,(addition(antidomain(multiplication(X1,coantidomain(X1))),antidomain(multiplication(coantidomain(coantidomain(X1)),antidomain(antidomain(coantidomain(X1))))))=antidomain(multiplication(coantidomain(coantidomain(X1)),antidomain(antidomain(coantidomain(X1)))))),inference(spm,[status(thm)],[45,11270,theory(equality)])).
% cnf(11428,plain,(coantidomain(multiplication(X1,coantidomain(X1)))=antidomain(multiplication(coantidomain(coantidomain(X1)),antidomain(antidomain(coantidomain(X1)))))),inference(rw,[status(thm)],[inference(rw,[status(thm)],[11392,427,theory(equality)]),1210,theory(equality)])).
% cnf(16570,plain,(leq(multiplication(antidomain(X1),X2),addition(X2,X3))),inference(spm,[status(thm)],[6156,31,theory(equality)])).
% cnf(16987,plain,(leq(coantidomain(X1),addition(coantidomain(coantidomain(coantidomain(X1))),X2))),inference(spm,[status(thm)],[7334,31,theory(equality)])).
% cnf(24930,plain,(leq(coantidomain(X1),coantidomain(coantidomain(coantidomain(coantidomain(coantidomain(X1))))))),inference(spm,[status(thm)],[16987,1892,theory(equality)])).
% cnf(25003,plain,(addition(coantidomain(X1),coantidomain(coantidomain(coantidomain(coantidomain(coantidomain(X1))))))=coantidomain(coantidomain(coantidomain(coantidomain(coantidomain(X1)))))),inference(spm,[status(thm)],[57,24930,theory(equality)])).
% cnf(25150,plain,(addition(addition(coantidomain(X1),coantidomain(coantidomain(X1))),coantidomain(coantidomain(coantidomain(coantidomain(addition(coantidomain(X1),coantidomain(coantidomain(X1))))))))=coantidomain(coantidomain(coantidomain(coantidomain(addition(coantidomain(X1),coantidomain(coantidomain(X1)))))))),inference(spm,[status(thm)],[25003,432,theory(equality)])).
% cnf(25219,plain,(addition(coantidomain(X1),coantidomain(coantidomain(X1)))=coantidomain(coantidomain(coantidomain(coantidomain(addition(coantidomain(X1),coantidomain(coantidomain(X1)))))))),inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[25150,4277,theory(equality)]),33,theory(equality)]),1834,theory(equality)])).
% cnf(25220,plain,(addition(coantidomain(X1),coantidomain(coantidomain(X1)))=coantidomain(coantidomain(addition(coantidomain(X1),coantidomain(coantidomain(X1)))))),inference(rw,[status(thm)],[25219,4277,theory(equality)])).
% cnf(29868,plain,(addition(multiplication(X1,coantidomain(addition(X1,X2))),zero)=zero),inference(spm,[status(thm)],[138,969,theory(equality)])).
% cnf(30107,plain,(multiplication(X1,coantidomain(addition(X1,X2)))=zero),inference(rw,[status(thm)],[29868,53,theory(equality)])).
% cnf(34334,plain,(multiplication(X1,multiplication(X2,coantidomain(addition(X2,X3))))=multiplication(X2,coantidomain(addition(X2,X3)))),inference(spm,[status(thm)],[59,30107,theory(equality)])).
% cnf(42440,plain,(coantidomain(antidomain(X1))=multiplication(antidomain(antidomain(X1)),coantidomain(antidomain(X1)))),inference(spm,[status(thm)],[236,1082,theory(equality)])).
% cnf(42532,plain,(addition(multiplication(X1,coantidomain(X1)),multiplication(antidomain(antidomain(X1)),multiplication(X1,X2)))=multiplication(X1,X2)),inference(spm,[status(thm)],[1082,1520,theory(equality)])).
% cnf(42533,plain,(addition(multiplication(X1,coantidomain(X1)),multiplication(antidomain(antidomain(X1)),X1))=X1),inference(spm,[status(thm)],[1082,1454,theory(equality)])).
% cnf(42658,plain,(multiplication(antidomain(antidomain(X1)),multiplication(X1,X2))=multiplication(X1,X2)),inference(rw,[status(thm)],[42532,236,theory(equality)])).
% cnf(42659,plain,(multiplication(antidomain(antidomain(X1)),X1)=X1),inference(rw,[status(thm)],[42533,236,theory(equality)])).
% cnf(42718,plain,(multiplication(antidomain(coantidomain(multiplication(X1,coantidomain(X1)))),multiplication(coantidomain(coantidomain(X1)),antidomain(antidomain(coantidomain(X1)))))=multiplication(coantidomain(coantidomain(X1)),antidomain(antidomain(coantidomain(X1))))),inference(spm,[status(thm)],[42659,11428,theory(equality)])).
% cnf(42723,plain,(multiplication(antidomain(coantidomain(zero)),multiplication(X1,antidomain(antidomain(coantidomain(X1)))))=multiplication(X1,antidomain(antidomain(coantidomain(X1))))),inference(spm,[status(thm)],[42659,1607,theory(equality)])).
% cnf(42777,plain,(multiplication(X1,coantidomain(X1))=multiplication(coantidomain(coantidomain(X1)),antidomain(antidomain(coantidomain(X1))))),inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[42718,439,theory(equality)]),37,theory(equality)]),1296,theory(equality)]),1304,theory(equality)]),101,theory(equality)])).
% cnf(42781,plain,(zero=multiplication(X1,antidomain(antidomain(coantidomain(X1))))),inference(rw,[status(thm)],[inference(rw,[status(thm)],[42723,430,theory(equality)]),61,theory(equality)])).
% cnf(43055,plain,(antidomain(multiplication(X1,multiplication(antidomain(antidomain(coantidomain(X1))),coantidomain(zero))))=coantidomain(multiplication(X1,multiplication(antidomain(antidomain(coantidomain(X1))),coantidomain(zero))))),inference(spm,[status(thm)],[533,42781,theory(equality)])).
% cnf(43215,plain,(antidomain(multiplication(X1,antidomain(antidomain(coantidomain(X1)))))=coantidomain(multiplication(X1,multiplication(antidomain(antidomain(coantidomain(X1))),coantidomain(zero))))),inference(rw,[status(thm)],[43055,433,theory(equality)])).
% cnf(43216,plain,(antidomain(multiplication(X1,antidomain(antidomain(coantidomain(X1)))))=coantidomain(multiplication(X1,antidomain(antidomain(coantidomain(X1)))))),inference(rw,[status(thm)],[43215,433,theory(equality)])).
% cnf(43464,plain,(addition(antidomain(antidomain(X1)),coantidomain(antidomain(X1)))=antidomain(antidomain(X1))),inference(spm,[status(thm)],[2865,42440,theory(equality)])).
% cnf(43738,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)],[1083,1454,theory(equality)])).
% cnf(43742,plain,(addition(multiplication(X1,antidomain(coantidomain(X1))),zero)=X1),inference(spm,[status(thm)],[1083,42781,theory(equality)])).
% cnf(43850,plain,(antidomain(X1)=antidomain(antidomain(antidomain(X1)))),inference(rw,[status(thm)],[inference(rw,[status(thm)],[43738,42659,theory(equality)]),103,theory(equality)])).
% cnf(43854,plain,(multiplication(X1,antidomain(coantidomain(X1)))=X1),inference(rw,[status(thm)],[43742,53,theory(equality)])).
% cnf(43895,plain,(multiplication(antidomain(X1),antidomain(antidomain(X1)))=multiplication(antidomain(antidomain(X1)),coantidomain(antidomain(antidomain(X1))))),inference(spm,[status(thm)],[1454,43850,theory(equality)])).
% cnf(44025,negated_conjecture,(addition(antidomain(antidomain(multiplication(esk1_0,antidomain(antidomain(esk2_0))))),antidomain(antidomain(esk3_0)))!=antidomain(antidomain(esk3_0))),inference(rw,[status(thm)],[99,43850,theory(equality)])).
% cnf(44156,plain,(addition(antidomain(coantidomain(antidomain(X1))),antidomain(X1))=antidomain(coantidomain(antidomain(X1)))),inference(spm,[status(thm)],[2104,43854,theory(equality)])).
% cnf(44164,plain,(multiplication(X1,X2)=multiplication(X1,multiplication(antidomain(coantidomain(X1)),X2))),inference(spm,[status(thm)],[37,43854,theory(equality)])).
% cnf(45595,plain,(addition(antidomain(multiplication(X1,coantidomain(X1))),coantidomain(multiplication(X1,antidomain(antidomain(coantidomain(X1))))))=coantidomain(multiplication(X1,antidomain(antidomain(coantidomain(X1)))))),inference(spm,[status(thm)],[45,43216,theory(equality)])).
% cnf(45695,plain,(coantidomain(multiplication(X1,coantidomain(X1)))=coantidomain(multiplication(X1,antidomain(antidomain(coantidomain(X1)))))),inference(rw,[status(thm)],[inference(rw,[status(thm)],[45595,427,theory(equality)]),1814,theory(equality)])).
% cnf(45969,plain,(addition(coantidomain(antidomain(X1)),antidomain(antidomain(X1)))=antidomain(antidomain(X1))),inference(rw,[status(thm)],[43464,31,theory(equality)])).
% cnf(46788,plain,(addition(antidomain(X1),antidomain(coantidomain(antidomain(X1))))=antidomain(coantidomain(antidomain(X1)))),inference(rw,[status(thm)],[44156,31,theory(equality)])).
% cnf(47786,plain,(antidomain(coantidomain(multiplication(multiplication(X1,antidomain(antidomain(coantidomain(X1)))),coantidomain(multiplication(X1,coantidomain(X1))))))=multiplication(multiplication(X1,antidomain(antidomain(coantidomain(X1)))),coantidomain(multiplication(X1,coantidomain(X1))))),inference(spm,[status(thm)],[439,45695,theory(equality)])).
% cnf(47946,plain,(multiplication(X1,coantidomain(X1))=multiplication(multiplication(X1,antidomain(antidomain(coantidomain(X1)))),coantidomain(multiplication(X1,coantidomain(X1))))),inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[47786,37,theory(equality)]),458,theory(equality)]),45695,theory(equality)]),439,theory(equality)])).
% cnf(47947,plain,(multiplication(X1,coantidomain(X1))=multiplication(X1,antidomain(antidomain(coantidomain(X1))))),inference(rw,[status(thm)],[inference(rw,[status(thm)],[47946,37,theory(equality)]),458,theory(equality)])).
% cnf(48985,plain,(addition(multiplication(X1,coantidomain(X1)),multiplication(coantidomain(coantidomain(X1)),antidomain(antidomain(antidomain(coantidomain(X1))))))=coantidomain(coantidomain(X1))),inference(spm,[status(thm)],[1083,42777,theory(equality)])).
% cnf(49079,plain,(multiplication(coantidomain(coantidomain(X1)),antidomain(coantidomain(X1)))=coantidomain(coantidomain(X1))),inference(rw,[status(thm)],[inference(rw,[status(thm)],[48985,43850,theory(equality)]),236,theory(equality)])).
% cnf(50131,plain,(multiplication(antidomain(antidomain(antidomain(antidomain(X1)))),multiplication(antidomain(X1),antidomain(antidomain(X1))))=multiplication(antidomain(X1),antidomain(antidomain(X1)))),inference(spm,[status(thm)],[42658,43895,theory(equality)])).
% cnf(50234,plain,(multiplication(antidomain(X1),coantidomain(antidomain(X1)))=multiplication(antidomain(X1),antidomain(antidomain(X1)))),inference(rw,[status(thm)],[inference(rw,[status(thm)],[50131,43850,theory(equality)]),1520,theory(equality)])).
% cnf(50323,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)],[47,50234,theory(equality)])).
% cnf(50401,plain,(coantidomain(multiplication(antidomain(X1),coantidomain(antidomain(X1))))=coantidomain(multiplication(coantidomain(coantidomain(antidomain(X1))),antidomain(antidomain(X1))))),inference(rw,[status(thm)],[50323,1814,theory(equality)])).
% cnf(50893,plain,(multiplication(X1,multiplication(antidomain(coantidomain(X1)),coantidomain(antidomain(coantidomain(X1)))))=multiplication(X1,antidomain(antidomain(coantidomain(X1))))),inference(spm,[status(thm)],[44164,50234,theory(equality)])).
% cnf(51003,plain,(multiplication(X1,coantidomain(antidomain(coantidomain(X1))))=multiplication(X1,antidomain(antidomain(coantidomain(X1))))),inference(rw,[status(thm)],[50893,44164,theory(equality)])).
% cnf(51004,plain,(multiplication(X1,coantidomain(antidomain(coantidomain(X1))))=multiplication(X1,coantidomain(X1))),inference(rw,[status(thm)],[51003,47947,theory(equality)])).
% cnf(59091,negated_conjecture,(addition(multiplication(esk1_0,esk2_0),multiplication(antidomain(antidomain(esk3_0)),multiplication(esk1_0,esk2_0)))=multiplication(antidomain(antidomain(esk3_0)),multiplication(esk1_0,esk2_0))),inference(spm,[status(thm)],[1250,42659,theory(equality)])).
% cnf(59223,negated_conjecture,(multiplication(esk1_0,esk2_0)=multiplication(antidomain(antidomain(esk3_0)),multiplication(esk1_0,esk2_0))),inference(rw,[status(thm)],[59091,2104,theory(equality)])).
% cnf(59274,negated_conjecture,(multiplication(antidomain(antidomain(antidomain(esk3_0))),multiplication(esk1_0,esk2_0))=multiplication(antidomain(antidomain(esk3_0)),coantidomain(antidomain(antidomain(esk3_0))))),inference(spm,[status(thm)],[1520,59223,theory(equality)])).
% cnf(59297,negated_conjecture,(multiplication(antidomain(esk3_0),multiplication(esk1_0,esk2_0))=multiplication(antidomain(antidomain(esk3_0)),coantidomain(antidomain(antidomain(esk3_0))))),inference(rw,[status(thm)],[59274,43850,theory(equality)])).
% cnf(59479,negated_conjecture,(zero=multiplication(antidomain(esk3_0),multiplication(esk1_0,esk2_0))),inference(rw,[status(thm)],[59297,73,theory(equality)])).
% cnf(59481,negated_conjecture,(addition(antidomain(zero),antidomain(multiplication(antidomain(esk3_0),antidomain(antidomain(multiplication(esk1_0,esk2_0))))))=antidomain(multiplication(antidomain(esk3_0),antidomain(antidomain(multiplication(esk1_0,esk2_0)))))),inference(spm,[status(thm)],[45,59479,theory(equality)])).
% cnf(59504,negated_conjecture,(coantidomain(zero)=antidomain(multiplication(antidomain(esk3_0),antidomain(antidomain(multiplication(esk1_0,esk2_0)))))),inference(rw,[status(thm)],[inference(rw,[status(thm)],[59481,423,theory(equality)]),1132,theory(equality)])).
% cnf(59889,negated_conjecture,(multiplication(antidomain(coantidomain(zero)),multiplication(antidomain(esk3_0),antidomain(antidomain(multiplication(esk1_0,esk2_0)))))=multiplication(antidomain(esk3_0),antidomain(antidomain(multiplication(esk1_0,esk2_0))))),inference(spm,[status(thm)],[42659,59504,theory(equality)])).
% cnf(59989,negated_conjecture,(zero=multiplication(antidomain(esk3_0),antidomain(antidomain(multiplication(esk1_0,esk2_0))))),inference(rw,[status(thm)],[inference(rw,[status(thm)],[59889,430,theory(equality)]),61,theory(equality)])).
% cnf(60051,negated_conjecture,(addition(zero,multiplication(antidomain(esk3_0),antidomain(antidomain(antidomain(multiplication(esk1_0,esk2_0))))))=antidomain(esk3_0)),inference(spm,[status(thm)],[1083,59989,theory(equality)])).
% cnf(60092,negated_conjecture,(multiplication(antidomain(esk3_0),antidomain(multiplication(esk1_0,esk2_0)))=antidomain(esk3_0)),inference(rw,[status(thm)],[inference(rw,[status(thm)],[60051,43850,theory(equality)]),206,theory(equality)])).
% cnf(60135,negated_conjecture,(leq(antidomain(esk3_0),addition(antidomain(multiplication(esk1_0,esk2_0)),X1))),inference(spm,[status(thm)],[16570,60092,theory(equality)])).
% cnf(60998,negated_conjecture,(leq(antidomain(esk3_0),antidomain(multiplication(esk1_0,antidomain(antidomain(esk2_0)))))),inference(spm,[status(thm)],[60135,45,theory(equality)])).
% cnf(61030,negated_conjecture,(addition(antidomain(esk3_0),antidomain(multiplication(esk1_0,antidomain(antidomain(esk2_0)))))=antidomain(multiplication(esk1_0,antidomain(antidomain(esk2_0))))),inference(spm,[status(thm)],[57,60998,theory(equality)])).
% cnf(61619,negated_conjecture,(addition(antidomain(multiplication(esk1_0,antidomain(antidomain(esk2_0)))),antidomain(esk3_0))=antidomain(multiplication(esk1_0,antidomain(antidomain(esk2_0))))),inference(rw,[status(thm)],[61030,31,theory(equality)])).
% cnf(61634,negated_conjecture,(addition(multiplication(antidomain(multiplication(esk1_0,antidomain(antidomain(esk2_0)))),coantidomain(antidomain(multiplication(esk1_0,antidomain(antidomain(esk2_0)))))),multiplication(antidomain(esk3_0),coantidomain(antidomain(multiplication(esk1_0,antidomain(antidomain(esk2_0)))))))=zero),inference(spm,[status(thm)],[969,61619,theory(equality)])).
% cnf(61731,negated_conjecture,(multiplication(antidomain(esk3_0),coantidomain(antidomain(multiplication(esk1_0,antidomain(antidomain(esk2_0))))))=zero),inference(rw,[status(thm)],[61634,236,theory(equality)])).
% cnf(68535,plain,(addition(multiplication(antidomain(antidomain(antidomain(X1))),coantidomain(antidomain(X1))),multiplication(antidomain(antidomain(antidomain(X1))),antidomain(antidomain(X1))))=addition(multiplication(coantidomain(antidomain(X1)),coantidomain(antidomain(antidomain(X1)))),multiplication(antidomain(antidomain(X1)),coantidomain(antidomain(antidomain(X1)))))),inference(spm,[status(thm)],[1526,45969,theory(equality)])).
% cnf(68572,plain,(addition(multiplication(antidomain(antidomain(coantidomain(antidomain(X1)))),antidomain(X1)),multiplication(antidomain(antidomain(coantidomain(antidomain(X1)))),antidomain(coantidomain(antidomain(X1)))))=addition(multiplication(antidomain(X1),coantidomain(antidomain(coantidomain(antidomain(X1))))),multiplication(antidomain(coantidomain(antidomain(X1))),coantidomain(antidomain(coantidomain(antidomain(X1))))))),inference(spm,[status(thm)],[1526,46788,theory(equality)])).
% cnf(68599,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)],[1526,2792,theory(equality)])).
% cnf(68867,plain,(multiplication(antidomain(X1),coantidomain(antidomain(X1)))=addition(multiplication(coantidomain(antidomain(X1)),coantidomain(antidomain(antidomain(X1)))),multiplication(antidomain(antidomain(X1)),coantidomain(antidomain(antidomain(X1)))))),inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[68535,43850,theory(equality)]),1454,theory(equality)]),43895,theory(equality)]),50234,theory(equality)]),236,theory(equality)])).
% cnf(68868,plain,(multiplication(antidomain(X1),coantidomain(antidomain(X1)))=multiplication(coantidomain(antidomain(X1)),coantidomain(antidomain(antidomain(X1))))),inference(rw,[status(thm)],[68867,103,theory(equality)])).
% cnf(68936,plain,(multiplication(antidomain(antidomain(coantidomain(antidomain(X1)))),antidomain(X1))=addition(multiplication(antidomain(X1),coantidomain(antidomain(coantidomain(antidomain(X1))))),multiplication(antidomain(coantidomain(antidomain(X1))),coantidomain(antidomain(coantidomain(antidomain(X1))))))),inference(rw,[status(thm)],[inference(rw,[status(thm)],[68572,1454,theory(equality)]),103,theory(equality)])).
% cnf(68937,plain,(multiplication(antidomain(antidomain(coantidomain(antidomain(X1)))),antidomain(X1))=multiplication(antidomain(X1),coantidomain(antidomain(X1)))),inference(rw,[status(thm)],[inference(rw,[status(thm)],[68936,103,theory(equality)]),51004,theory(equality)])).
% cnf(68988,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)],[68599,1454,theory(equality)]),236,theory(equality)])).
% cnf(68989,plain,(multiplication(antidomain(X1),multiplication(coantidomain(X2),X1))=multiplication(X1,coantidomain(X1))),inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[68988,37,theory(equality)]),101,theory(equality)]),236,theory(equality)])).
% cnf(74823,plain,(addition(multiplication(antidomain(X1),coantidomain(antidomain(X1))),multiplication(antidomain(antidomain(antidomain(coantidomain(antidomain(X1))))),antidomain(X1)))=antidomain(X1)),inference(spm,[status(thm)],[1082,68937,theory(equality)])).
% cnf(74927,plain,(multiplication(antidomain(coantidomain(antidomain(X1))),antidomain(X1))=antidomain(X1)),inference(rw,[status(thm)],[inference(rw,[status(thm)],[74823,43850,theory(equality)]),236,theory(equality)])).
% cnf(75485,plain,(multiplication(antidomain(coantidomain(X1)),coantidomain(antidomain(coantidomain(X1))))=multiplication(coantidomain(X1),antidomain(coantidomain(X1)))),inference(spm,[status(thm)],[42658,68989,theory(equality)])).
% cnf(79341,plain,(multiplication(antidomain(antidomain(antidomain(coantidomain(X1)))),multiplication(coantidomain(X1),antidomain(coantidomain(X1))))=multiplication(coantidomain(X1),antidomain(coantidomain(X1)))),inference(spm,[status(thm)],[42658,75485,theory(equality)])).
% cnf(79457,plain,(multiplication(X1,coantidomain(X1))=multiplication(coantidomain(X1),antidomain(coantidomain(X1)))),inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[79341,43850,theory(equality)]),1520,theory(equality)]),1304,theory(equality)])).
% cnf(84029,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)],[439,50401,theory(equality)])).
% cnf(84231,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)],[84029,37,theory(equality)]),458,theory(equality)]),50401,theory(equality)]),439,theory(equality)])).
% cnf(84232,plain,(multiplication(antidomain(X1),coantidomain(antidomain(X1)))=multiplication(coantidomain(coantidomain(antidomain(X1))),antidomain(antidomain(X1)))),inference(rw,[status(thm)],[inference(rw,[status(thm)],[84231,37,theory(equality)]),458,theory(equality)])).
% cnf(84539,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)],[1083,84232,theory(equality)])).
% cnf(84648,plain,(multiplication(coantidomain(coantidomain(antidomain(X1))),antidomain(X1))=coantidomain(coantidomain(antidomain(X1)))),inference(rw,[status(thm)],[inference(rw,[status(thm)],[84539,43850,theory(equality)]),236,theory(equality)])).
% cnf(89958,plain,(addition(multiplication(coantidomain(X1),antidomain(coantidomain(X1))),coantidomain(coantidomain(X1)))=antidomain(coantidomain(X1))),inference(spm,[status(thm)],[1700,49079,theory(equality)])).
% cnf(90144,plain,(coantidomain(coantidomain(X1))=antidomain(coantidomain(X1))),inference(rw,[status(thm)],[inference(rw,[status(thm)],[89958,79457,theory(equality)]),236,theory(equality)])).
% cnf(90389,plain,(coantidomain(coantidomain(antidomain(X1)))=antidomain(X1)),inference(rw,[status(thm)],[inference(rw,[status(thm)],[74927,90144,theory(equality)]),84648,theory(equality)])).
% cnf(90577,plain,(multiplication(coantidomain(multiplication(coantidomain(antidomain(X1)),antidomain(X1))),X2)=X2),inference(spm,[status(thm)],[468,90389,theory(equality)])).
% cnf(90624,plain,(coantidomain(coantidomain(addition(antidomain(X1),coantidomain(antidomain(X1)))))=addition(antidomain(X1),coantidomain(antidomain(X1)))),inference(spm,[status(thm)],[25220,90389,theory(equality)])).
% cnf(90631,plain,(antidomain(antidomain(X1))=coantidomain(antidomain(X1))),inference(spm,[status(thm)],[90144,90389,theory(equality)])).
% cnf(90941,plain,(multiplication(coantidomain(antidomain(X1)),antidomain(X1))=multiplication(antidomain(X1),coantidomain(antidomain(X1)))),inference(rw,[status(thm)],[inference(rw,[status(thm)],[68868,90631,theory(equality)]),90389,theory(equality)])).
% cnf(90971,negated_conjecture,(multiplication(antidomain(esk3_0),coantidomain(antidomain(multiplication(esk1_0,coantidomain(antidomain(esk2_0))))))=zero),inference(rw,[status(thm)],[61731,90631,theory(equality)])).
% cnf(91021,negated_conjecture,(addition(coantidomain(antidomain(multiplication(esk1_0,coantidomain(antidomain(esk2_0))))),coantidomain(antidomain(esk3_0)))!=antidomain(antidomain(esk3_0))),inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[44025,90631,theory(equality)]),90631,theory(equality)]),90631,theory(equality)])).
% cnf(91022,negated_conjecture,(addition(coantidomain(antidomain(multiplication(esk1_0,coantidomain(antidomain(esk2_0))))),coantidomain(antidomain(esk3_0)))!=coantidomain(antidomain(esk3_0))),inference(rw,[status(thm)],[91021,90631,theory(equality)])).
% cnf(146015,plain,(multiplication(X1,coantidomain(addition(X1,X2)))=multiplication(X1,coantidomain(X1))),inference(spm,[status(thm)],[1520,34334,theory(equality)])).
% cnf(147272,plain,(multiplication(coantidomain(X1),coantidomain(coantidomain(X1)))=coantidomain(addition(coantidomain(X1),coantidomain(coantidomain(X1))))),inference(spm,[status(thm)],[4271,146015,theory(equality)])).
% cnf(147514,plain,(multiplication(X1,coantidomain(X1))=coantidomain(addition(coantidomain(X1),coantidomain(coantidomain(X1))))),inference(rw,[status(thm)],[147272,1304,theory(equality)])).
% cnf(147823,plain,(coantidomain(addition(antidomain(X1),coantidomain(antidomain(X1))))=multiplication(coantidomain(antidomain(X1)),antidomain(X1))),inference(spm,[status(thm)],[147514,90389,theory(equality)])).
% cnf(148116,plain,(coantidomain(addition(antidomain(X1),coantidomain(antidomain(X1))))=multiplication(antidomain(X1),coantidomain(antidomain(X1)))),inference(rw,[status(thm)],[147823,90941,theory(equality)])).
% cnf(150372,plain,(coantidomain(multiplication(antidomain(X1),coantidomain(antidomain(X1))))=addition(antidomain(X1),coantidomain(antidomain(X1)))),inference(rw,[status(thm)],[90624,148116,theory(equality)])).
% cnf(165848,plain,(addition(multiplication(antidomain(X1),X2),multiplication(coantidomain(antidomain(X1)),X2))=X2),inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[90577,90941,theory(equality)]),150372,theory(equality)]),41,theory(equality)])).
% cnf(166072,negated_conjecture,(addition(zero,multiplication(coantidomain(antidomain(esk3_0)),coantidomain(antidomain(multiplication(esk1_0,coantidomain(antidomain(esk2_0)))))))=coantidomain(antidomain(multiplication(esk1_0,coantidomain(antidomain(esk2_0)))))),inference(spm,[status(thm)],[165848,90971,theory(equality)])).
% cnf(166258,negated_conjecture,(multiplication(coantidomain(antidomain(esk3_0)),coantidomain(antidomain(multiplication(esk1_0,coantidomain(antidomain(esk2_0))))))=coantidomain(antidomain(multiplication(esk1_0,coantidomain(antidomain(esk2_0)))))),inference(rw,[status(thm)],[166072,206,theory(equality)])).
% cnf(166317,negated_conjecture,(addition(coantidomain(antidomain(esk3_0)),coantidomain(antidomain(multiplication(esk1_0,coantidomain(antidomain(esk2_0))))))=coantidomain(antidomain(esk3_0))),inference(spm,[status(thm)],[2865,166258,theory(equality)])).
% cnf(169262,negated_conjecture,(addition(coantidomain(antidomain(multiplication(esk1_0,coantidomain(antidomain(esk2_0))))),coantidomain(antidomain(esk3_0)))=coantidomain(antidomain(esk3_0))),inference(rw,[status(thm)],[166317,31,theory(equality)])).
% cnf(169263,negated_conjecture,($false),inference(sr,[status(thm)],[169262,91022,theory(equality)])).
% cnf(169264,negated_conjecture,($false),169263,['proof']).
% # SZS output end CNFRefutation
% # Processed clauses : 6809
% # ...of these trivial : 976
% # ...subsumed : 4992
% # ...remaining for further processing: 841
% # Other redundant clauses eliminated : 0
% # Clauses deleted for lack of memory : 0
% # Backward-subsumed : 2
% # Backward-rewritten : 354
% # Generated clauses : 86286
% # ...of the previous two non-trivial : 48298
% # Contextual simplify-reflections : 0
% # Paramodulations : 86277
% # Factorizations : 0
% # Equation resolutions : 9
% # Current number of processed clauses: 484
% # Positive orientable unit clauses: 336
% # Positive unorientable unit clauses: 14
% # Negative unit clauses : 1
% # Non-unit-clauses : 133
% # Current number of unprocessed clauses: 20591
% # ...number of literals in the above : 32544
% # Clause-clause subsumption calls (NU) : 19867
% # Rec. Clause-clause subsumption calls : 19867
% # Unit Clause-clause subsumption calls : 336
% # Rewrite failures with RHS unbound : 241
% # Indexed BW rewrite attempts : 1180
% # Indexed BW rewrite successes : 322
% # Backwards rewriting index: 412 leaves, 1.73+/-1.486 terms/leaf
% # Paramod-from index: 252 leaves, 1.41+/-0.748 terms/leaf
% # Paramod-into index: 359 leaves, 1.70+/-1.491 terms/leaf
% # -------------------------------------------------
% # User time : 2.157 s
% # System time : 0.086 s
% # Total time : 2.243 s
% # Maximum resident set size: 0 pages
% PrfWatch: 4.27 CPU 4.43 WC
% FINAL PrfWatch: 4.27 CPU 4.43 WC
% SZS output end Solution for /tmp/SystemOnTPTP5075/KLE097+1.tptp
%
%------------------------------------------------------------------------------