TSTP Solution File: KLE098+1 by SRASS---0.1
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- Process Solution
%------------------------------------------------------------------------------
% File : SRASS---0.1
% Problem : KLE098+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 : art05.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 07:56:05 EST 2010
% Result : Theorem 8.55s
% Output : Solution 8.55s
% 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/SystemOnTPTP17340/KLE098+1.tptp
% Adding relevance values
% Extracting the conjecture
% Sorting axioms by relevance
% Looking for THM ...
% found
% SZS status THM for /tmp/SystemOnTPTP17340/KLE098+1.tptp
% SZS output start Solution for /tmp/SystemOnTPTP17340/KLE098+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 17436
% TreeLimitedRun: ----------------------------------------------------------
% PrfWatch: 0.00 CPU 0.01 WC
% PrfWatch: 1.94 CPU 2.02 WC
% PrfWatch: 3.92 CPU 4.02 WC
% # Preprocessing time : 0.012 s
% # Problem is unsatisfiable (or provable), constructing proof object
% # SZS status Theorem
% PrfWatch: 5.92 CPU 6.03 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, 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,![X4]:![X5]:![X6]:multiplication(X4,multiplication(X5,X6))=multiplication(multiplication(X4,X5),X6),inference(variable_rename,[status(thm)],[4])).
% cnf(36,plain,(multiplication(X1,multiplication(X2,X3))=multiplication(multiplication(X1,X2),X3)),inference(split_conjunct,[status(thm)],[35])).
% fof(37, plain,![X4]:![X5]:![X6]:multiplication(X4,addition(X5,X6))=addition(multiplication(X4,X5),multiplication(X4,X6)),inference(variable_rename,[status(thm)],[5])).
% cnf(38,plain,(multiplication(X1,addition(X2,X3))=addition(multiplication(X1,X2),multiplication(X1,X3))),inference(split_conjunct,[status(thm)],[37])).
% fof(39, plain,![X4]:![X5]:![X6]:multiplication(addition(X4,X5),X6)=addition(multiplication(X4,X6),multiplication(X5,X6)),inference(variable_rename,[status(thm)],[6])).
% cnf(40,plain,(multiplication(addition(X1,X2),X3)=addition(multiplication(X1,X3),multiplication(X2,X3))),inference(split_conjunct,[status(thm)],[39])).
% fof(41, plain,![X6]:![X7]:forward_diamond(X6,X7)=domain(multiplication(X6,domain(X7))),inference(variable_rename,[status(thm)],[7])).
% cnf(42,plain,(forward_diamond(X1,X2)=domain(multiplication(X1,domain(X2)))),inference(split_conjunct,[status(thm)],[41])).
% fof(43, 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(44,plain,(addition(antidomain(multiplication(X1,X2)),antidomain(multiplication(X1,antidomain(antidomain(X2)))))=antidomain(multiplication(X1,antidomain(antidomain(X2))))),inference(split_conjunct,[status(thm)],[43])).
% fof(45, 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(46,plain,(addition(coantidomain(multiplication(X1,X2)),coantidomain(multiplication(coantidomain(coantidomain(X1)),X2)))=coantidomain(multiplication(coantidomain(coantidomain(X1)),X2))),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(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,![X1]:![X2]:((~(leq(X1,X2))|addition(X1,X2)=X2)&(~(addition(X1,X2)=X2)|leq(X1,X2))),inference(fof_nnf,[status(thm)],[13])).
% fof(54, plain,![X3]:![X4]:((~(leq(X3,X4))|addition(X3,X4)=X4)&(~(addition(X3,X4)=X4)|leq(X3,X4))),inference(variable_rename,[status(thm)],[53])).
% cnf(55,plain,(leq(X1,X2)|addition(X1,X2)!=X2),inference(split_conjunct,[status(thm)],[54])).
% cnf(56,plain,(addition(X1,X2)=X2|~leq(X1,X2)),inference(split_conjunct,[status(thm)],[54])).
% fof(57, plain,![X2]:multiplication(X2,zero)=zero,inference(variable_rename,[status(thm)],[14])).
% cnf(58,plain,(multiplication(X1,zero)=zero),inference(split_conjunct,[status(thm)],[57])).
% fof(59, plain,![X2]:multiplication(zero,X2)=zero,inference(variable_rename,[status(thm)],[15])).
% cnf(60,plain,(multiplication(zero,X1)=zero),inference(split_conjunct,[status(thm)],[59])).
% fof(61, plain,![X2]:multiplication(X2,one)=X2,inference(variable_rename,[status(thm)],[16])).
% cnf(62,plain,(multiplication(X1,one)=X1),inference(split_conjunct,[status(thm)],[61])).
% fof(63, plain,![X2]:multiplication(one,X2)=X2,inference(variable_rename,[status(thm)],[17])).
% cnf(64,plain,(multiplication(one,X1)=X1),inference(split_conjunct,[status(thm)],[63])).
% fof(69, plain,![X5]:addition(antidomain(antidomain(X5)),antidomain(X5))=one,inference(variable_rename,[status(thm)],[20])).
% cnf(70,plain,(addition(antidomain(antidomain(X1)),antidomain(X1))=one),inference(split_conjunct,[status(thm)],[69])).
% fof(71, plain,![X5]:multiplication(X5,coantidomain(X5))=zero,inference(variable_rename,[status(thm)],[21])).
% cnf(72,plain,(multiplication(X1,coantidomain(X1))=zero),inference(split_conjunct,[status(thm)],[71])).
% fof(73, plain,![X5]:addition(coantidomain(coantidomain(X5)),coantidomain(X5))=one,inference(variable_rename,[status(thm)],[22])).
% cnf(74,plain,(addition(coantidomain(coantidomain(X1)),coantidomain(X1))=one),inference(split_conjunct,[status(thm)],[73])).
% fof(75, plain,![X5]:multiplication(antidomain(X5),X5)=zero,inference(variable_rename,[status(thm)],[23])).
% cnf(76,plain,(multiplication(antidomain(X1),X1)=zero),inference(split_conjunct,[status(thm)],[75])).
% fof(83, 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(fof_nnf,[status(thm)],[28])).
% fof(84, negated_conjecture,?[X7]:?[X8]:?[X9]:(addition(forward_diamond(X7,domain(X8)),domain(X9))=domain(X9)&~(addition(multiplication(X7,domain(X8)),multiplication(domain(X9),X7))=multiplication(domain(X9),X7))),inference(variable_rename,[status(thm)],[83])).
% fof(85, negated_conjecture,(addition(forward_diamond(esk1_0,domain(esk2_0)),domain(esk3_0))=domain(esk3_0)&~(addition(multiplication(esk1_0,domain(esk2_0)),multiplication(domain(esk3_0),esk1_0))=multiplication(domain(esk3_0),esk1_0))),inference(skolemize,[status(esa)],[84])).
% cnf(86,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)],[85])).
% cnf(87,negated_conjecture,(addition(forward_diamond(esk1_0,domain(esk2_0)),domain(esk3_0))=domain(esk3_0)),inference(split_conjunct,[status(thm)],[85])).
% cnf(90,plain,(antidomain(antidomain(multiplication(X1,antidomain(antidomain(X2)))))=forward_diamond(X1,X2)),inference(rw,[status(thm)],[inference(rw,[status(thm)],[42,48,theory(equality)]),48,theory(equality)]),['unfolding']).
% cnf(94,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)],[87,48,theory(equality)]),48,theory(equality)]),48,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)],[86,48,theory(equality)]),48,theory(equality)]),48,theory(equality)]),['unfolding']).
% cnf(98,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)],[94,90,theory(equality)]),['unfolding']).
% cnf(100,plain,(multiplication(X1,multiplication(X2,coantidomain(X2)))=multiplication(X2,coantidomain(X2))),inference(spm,[status(thm)],[58,72,theory(equality)])).
% cnf(101,plain,(multiplication(multiplication(X2,coantidomain(X2)),X1)=multiplication(X2,coantidomain(X2))),inference(spm,[status(thm)],[60,72,theory(equality)])).
% cnf(102,plain,(addition(X1,multiplication(X2,coantidomain(X2)))=X1),inference(spm,[status(thm)],[52,72,theory(equality)])).
% cnf(103,plain,(zero=coantidomain(one)),inference(spm,[status(thm)],[64,72,theory(equality)])).
% cnf(109,plain,(multiplication(multiplication(antidomain(X2),X2),X1)=multiplication(antidomain(X2),X2)),inference(spm,[status(thm)],[60,76,theory(equality)])).
% cnf(111,plain,(zero=antidomain(one)),inference(spm,[status(thm)],[62,76,theory(equality)])).
% cnf(137,plain,(addition(X1,X2)=addition(X1,addition(X1,X2))),inference(spm,[status(thm)],[32,34,theory(equality)])).
% cnf(176,plain,(leq(X1,addition(X1,X2))),inference(spm,[status(thm)],[55,137,theory(equality)])).
% cnf(205,plain,(addition(zero,X1)=X1),inference(spm,[status(thm)],[52,30,theory(equality)])).
% cnf(208,plain,(leq(X1,X2)|addition(X2,X1)!=X2),inference(spm,[status(thm)],[55,30,theory(equality)])).
% cnf(210,plain,(addition(X1,addition(X2,X1))=addition(X2,X1)),inference(spm,[status(thm)],[137,30,theory(equality)])).
% cnf(211,plain,(leq(X1,addition(X2,X1))),inference(spm,[status(thm)],[176,30,theory(equality)])).
% cnf(235,plain,(addition(multiplication(X2,coantidomain(X2)),X1)=X1),inference(spm,[status(thm)],[205,72,theory(equality)])).
% cnf(250,plain,(leq(X1,addition(X2,addition(X3,X1)))),inference(spm,[status(thm)],[211,32,theory(equality)])).
% cnf(282,plain,(addition(antidomain(X1),antidomain(antidomain(X1)))=one),inference(rw,[status(thm)],[70,30,theory(equality)])).
% cnf(293,plain,(addition(zero,antidomain(zero))=one),inference(spm,[status(thm)],[282,111,theory(equality)])).
% cnf(295,plain,(antidomain(zero)=one),inference(rw,[status(thm)],[293,205,theory(equality)])).
% cnf(297,plain,(antidomain(antidomain(zero))=zero),inference(rw,[status(thm)],[111,295,theory(equality)])).
% cnf(298,plain,(coantidomain(antidomain(zero))=zero),inference(rw,[status(thm)],[103,295,theory(equality)])).
% cnf(299,plain,(addition(antidomain(X1),antidomain(antidomain(X1)))=antidomain(zero)),inference(rw,[status(thm)],[282,295,theory(equality)])).
% cnf(300,plain,(multiplication(X1,antidomain(zero))=X1),inference(rw,[status(thm)],[62,295,theory(equality)])).
% cnf(301,plain,(multiplication(antidomain(zero),X1)=X1),inference(rw,[status(thm)],[64,295,theory(equality)])).
% cnf(398,plain,(addition(coantidomain(X1),coantidomain(coantidomain(X1)))=one),inference(rw,[status(thm)],[74,30,theory(equality)])).
% cnf(399,plain,(addition(coantidomain(X1),coantidomain(coantidomain(X1)))=antidomain(zero)),inference(rw,[status(thm)],[398,295,theory(equality)])).
% cnf(418,plain,(addition(zero,coantidomain(zero))=antidomain(zero)),inference(spm,[status(thm)],[399,298,theory(equality)])).
% cnf(422,plain,(coantidomain(zero)=antidomain(zero)),inference(rw,[status(thm)],[418,205,theory(equality)])).
% cnf(426,plain,(antidomain(multiplication(X1,coantidomain(X1)))=coantidomain(multiplication(X1,coantidomain(X1)))),inference(spm,[status(thm)],[422,72,theory(equality)])).
% cnf(429,plain,(antidomain(coantidomain(zero))=zero),inference(rw,[status(thm)],[297,422,theory(equality)])).
% cnf(430,plain,(coantidomain(coantidomain(zero))=zero),inference(rw,[status(thm)],[298,422,theory(equality)])).
% cnf(431,plain,(addition(coantidomain(X1),coantidomain(coantidomain(X1)))=coantidomain(zero)),inference(rw,[status(thm)],[399,422,theory(equality)])).
% cnf(432,plain,(multiplication(X1,coantidomain(zero))=X1),inference(rw,[status(thm)],[300,422,theory(equality)])).
% cnf(433,plain,(multiplication(coantidomain(zero),X1)=X1),inference(rw,[status(thm)],[301,422,theory(equality)])).
% cnf(438,plain,(antidomain(coantidomain(multiplication(X1,coantidomain(X1))))=multiplication(X1,coantidomain(X1))),inference(spm,[status(thm)],[429,72,theory(equality)])).
% cnf(445,plain,(coantidomain(coantidomain(multiplication(X1,coantidomain(X1))))=multiplication(X1,coantidomain(X1))),inference(spm,[status(thm)],[430,72,theory(equality)])).
% cnf(457,plain,(multiplication(X1,coantidomain(multiplication(X2,coantidomain(X2))))=X1),inference(spm,[status(thm)],[432,72,theory(equality)])).
% cnf(968,plain,(addition(multiplication(X1,coantidomain(addition(X1,X2))),multiplication(X2,coantidomain(addition(X1,X2))))=zero),inference(spm,[status(thm)],[72,40,theory(equality)])).
% cnf(1021,plain,(addition(antidomain(X1),antidomain(antidomain(X1)))=coantidomain(zero)),inference(rw,[status(thm)],[299,422,theory(equality)])).
% cnf(1032,plain,(multiplication(addition(antidomain(X2),antidomain(antidomain(X2))),X1)=X1),inference(spm,[status(thm)],[433,1021,theory(equality)])).
% cnf(1033,plain,(multiplication(X1,addition(antidomain(X2),antidomain(antidomain(X2))))=X1),inference(spm,[status(thm)],[432,1021,theory(equality)])).
% cnf(1040,plain,(addition(antidomain(X1),coantidomain(zero))=coantidomain(zero)),inference(spm,[status(thm)],[137,1021,theory(equality)])).
% cnf(1081,plain,(addition(multiplication(antidomain(X2),X1),multiplication(antidomain(antidomain(X2)),X1))=X1),inference(rw,[status(thm)],[1032,40,theory(equality)])).
% cnf(1082,plain,(addition(multiplication(X1,antidomain(X2)),multiplication(X1,antidomain(antidomain(X2))))=X1),inference(rw,[status(thm)],[1033,38,theory(equality)])).
% cnf(1131,plain,(coantidomain(zero)=addition(coantidomain(zero),antidomain(X1))),inference(spm,[status(thm)],[30,1040,theory(equality)])).
% cnf(1134,plain,(multiplication(coantidomain(zero),X2)=addition(multiplication(antidomain(X1),X2),multiplication(coantidomain(zero),X2))),inference(spm,[status(thm)],[40,1040,theory(equality)])).
% cnf(1144,plain,(multiplication(X1,coantidomain(zero))=addition(multiplication(X1,antidomain(X2)),multiplication(X1,coantidomain(zero)))),inference(spm,[status(thm)],[38,1040,theory(equality)])).
% cnf(1158,plain,(X2=addition(multiplication(antidomain(X1),X2),multiplication(coantidomain(zero),X2))),inference(rw,[status(thm)],[1134,433,theory(equality)])).
% cnf(1159,plain,(X2=addition(multiplication(antidomain(X1),X2),X2)),inference(rw,[status(thm)],[1158,433,theory(equality)])).
% cnf(1164,plain,(X1=addition(multiplication(X1,antidomain(X2)),multiplication(X1,coantidomain(zero)))),inference(rw,[status(thm)],[1144,432,theory(equality)])).
% cnf(1165,plain,(X1=addition(multiplication(X1,antidomain(X2)),X1)),inference(rw,[status(thm)],[1164,432,theory(equality)])).
% cnf(1209,plain,(addition(coantidomain(multiplication(X2,coantidomain(X2))),antidomain(X1))=coantidomain(multiplication(X2,coantidomain(X2)))),inference(spm,[status(thm)],[1131,72,theory(equality)])).
% cnf(1268,plain,(addition(antidomain(zero),antidomain(multiplication(X1,antidomain(antidomain(coantidomain(X1))))))=antidomain(multiplication(X1,antidomain(antidomain(coantidomain(X1)))))),inference(spm,[status(thm)],[44,72,theory(equality)])).
% cnf(1311,plain,(coantidomain(zero)=antidomain(multiplication(X1,antidomain(antidomain(coantidomain(X1)))))),inference(rw,[status(thm)],[inference(rw,[status(thm)],[1268,422,theory(equality)]),1131,theory(equality)])).
% cnf(1356,plain,(multiplication(X2,multiplication(coantidomain(X2),X1))=multiplication(X2,coantidomain(X2))),inference(rw,[status(thm)],[101,36,theory(equality)])).
% cnf(1365,plain,(multiplication(X1,coantidomain(X1))=multiplication(coantidomain(X1),coantidomain(coantidomain(X1)))),inference(spm,[status(thm)],[100,1356,theory(equality)])).
% cnf(1517,plain,(multiplication(antidomain(X2),multiplication(X2,X1))=multiplication(antidomain(X2),X2)),inference(rw,[status(thm)],[109,36,theory(equality)])).
% cnf(1522,plain,(multiplication(antidomain(X1),X1)=multiplication(X1,coantidomain(X1))),inference(spm,[status(thm)],[100,1517,theory(equality)])).
% cnf(1573,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)],[38,1522,theory(equality)])).
% cnf(1591,plain,(multiplication(antidomain(X1),multiplication(X1,X2))=multiplication(X1,coantidomain(X1))),inference(rw,[status(thm)],[1517,1522,theory(equality)])).
% cnf(1599,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)],[1573,40,theory(equality)])).
% cnf(1642,plain,(addition(coantidomain(multiplication(X1,multiplication(X2,X3))),coantidomain(multiplication(coantidomain(coantidomain(multiplication(X1,X2))),X3)))=coantidomain(multiplication(coantidomain(coantidomain(multiplication(X1,X2))),X3))),inference(spm,[status(thm)],[46,36,theory(equality)])).
% cnf(1718,plain,(multiplication(addition(coantidomain(X2),coantidomain(coantidomain(X2))),X1)=X1),inference(spm,[status(thm)],[433,431,theory(equality)])).
% cnf(1719,plain,(multiplication(X1,addition(coantidomain(X2),coantidomain(coantidomain(X2))))=X1),inference(spm,[status(thm)],[432,431,theory(equality)])).
% cnf(1731,plain,(addition(coantidomain(X1),coantidomain(zero))=coantidomain(zero)),inference(spm,[status(thm)],[137,431,theory(equality)])).
% cnf(1773,plain,(addition(multiplication(coantidomain(X2),X1),multiplication(coantidomain(coantidomain(X2)),X1))=X1),inference(rw,[status(thm)],[1718,40,theory(equality)])).
% cnf(1774,plain,(addition(multiplication(X1,coantidomain(X2)),multiplication(X1,coantidomain(coantidomain(X2))))=X1),inference(rw,[status(thm)],[1719,38,theory(equality)])).
% cnf(1825,plain,(coantidomain(zero)=addition(coantidomain(zero),coantidomain(X1))),inference(spm,[status(thm)],[30,1731,theory(equality)])).
% cnf(1828,plain,(multiplication(coantidomain(zero),X2)=addition(multiplication(coantidomain(X1),X2),multiplication(coantidomain(zero),X2))),inference(spm,[status(thm)],[40,1731,theory(equality)])).
% cnf(1839,plain,(multiplication(X1,coantidomain(zero))=addition(multiplication(X1,coantidomain(X2)),multiplication(X1,coantidomain(zero)))),inference(spm,[status(thm)],[38,1731,theory(equality)])).
% cnf(1851,plain,(X2=addition(multiplication(coantidomain(X1),X2),multiplication(coantidomain(zero),X2))),inference(rw,[status(thm)],[1828,433,theory(equality)])).
% cnf(1852,plain,(X2=addition(multiplication(coantidomain(X1),X2),X2)),inference(rw,[status(thm)],[1851,433,theory(equality)])).
% cnf(1858,plain,(X1=addition(multiplication(X1,coantidomain(X2)),multiplication(X1,coantidomain(zero)))),inference(rw,[status(thm)],[1839,432,theory(equality)])).
% cnf(1859,plain,(X1=addition(multiplication(X1,coantidomain(X2)),X1)),inference(rw,[status(thm)],[1858,432,theory(equality)])).
% cnf(1887,plain,(addition(coantidomain(multiplication(X2,coantidomain(X2))),coantidomain(X1))=coantidomain(multiplication(X2,coantidomain(X2)))),inference(spm,[status(thm)],[1825,72,theory(equality)])).
% cnf(2121,plain,(addition(X2,multiplication(antidomain(X1),X2))=X2),inference(rw,[status(thm)],[1159,30,theory(equality)])).
% cnf(2313,plain,(addition(X1,multiplication(X1,antidomain(X2)))=X1),inference(rw,[status(thm)],[1165,30,theory(equality)])).
% cnf(2873,plain,(addition(X2,multiplication(coantidomain(X1),X2))=X2),inference(rw,[status(thm)],[1852,30,theory(equality)])).
% cnf(3048,plain,(addition(X1,multiplication(X1,coantidomain(X2)))=X1),inference(rw,[status(thm)],[1859,30,theory(equality)])).
% cnf(3063,plain,(leq(multiplication(X1,coantidomain(X2)),X1)),inference(spm,[status(thm)],[208,3048,theory(equality)])).
% cnf(3778,plain,(leq(multiplication(X1,multiplication(X2,coantidomain(X3))),multiplication(X1,X2))),inference(spm,[status(thm)],[3063,36,theory(equality)])).
% cnf(6178,plain,(leq(multiplication(X1,coantidomain(X2)),addition(X3,X1))),inference(spm,[status(thm)],[250,3048,theory(equality)])).
% cnf(10104,plain,(coantidomain(multiplication(X1,coantidomain(X1)))=coantidomain(multiplication(coantidomain(coantidomain(X1)),coantidomain(X1)))),inference(spm,[status(thm)],[46,1887,theory(equality)])).
% cnf(10210,plain,(antidomain(coantidomain(multiplication(multiplication(coantidomain(coantidomain(X1)),coantidomain(X1)),coantidomain(multiplication(X1,coantidomain(X1))))))=multiplication(multiplication(coantidomain(coantidomain(X1)),coantidomain(X1)),coantidomain(multiplication(X1,coantidomain(X1))))),inference(spm,[status(thm)],[438,10104,theory(equality)])).
% cnf(10298,plain,(multiplication(X1,coantidomain(X1))=multiplication(multiplication(coantidomain(coantidomain(X1)),coantidomain(X1)),coantidomain(multiplication(X1,coantidomain(X1))))),inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[10210,36,theory(equality)]),457,theory(equality)]),10104,theory(equality)]),438,theory(equality)])).
% cnf(10299,plain,(multiplication(X1,coantidomain(X1))=multiplication(coantidomain(coantidomain(X1)),coantidomain(X1))),inference(rw,[status(thm)],[inference(rw,[status(thm)],[10298,36,theory(equality)]),457,theory(equality)])).
% cnf(10404,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)],[44,10299,theory(equality)])).
% cnf(10438,plain,(coantidomain(multiplication(X1,coantidomain(X1)))=antidomain(multiplication(coantidomain(coantidomain(X1)),antidomain(antidomain(coantidomain(X1)))))),inference(rw,[status(thm)],[inference(rw,[status(thm)],[10404,426,theory(equality)]),1209,theory(equality)])).
% cnf(15138,plain,(leq(multiplication(X1,coantidomain(X2)),addition(X1,X3))),inference(spm,[status(thm)],[6178,30,theory(equality)])).
% cnf(29242,plain,(addition(multiplication(X1,coantidomain(addition(X1,X2))),zero)=zero),inference(spm,[status(thm)],[137,968,theory(equality)])).
% cnf(29252,plain,(addition(multiplication(X1,coantidomain(addition(X2,X1))),zero)=zero),inference(spm,[status(thm)],[210,968,theory(equality)])).
% cnf(29480,plain,(multiplication(X1,coantidomain(addition(X1,X2)))=zero),inference(rw,[status(thm)],[29242,52,theory(equality)])).
% cnf(29487,plain,(multiplication(X1,coantidomain(addition(X2,X1)))=zero),inference(rw,[status(thm)],[29252,52,theory(equality)])).
% cnf(41916,plain,(coantidomain(antidomain(antidomain(X1)))=multiplication(antidomain(X1),coantidomain(antidomain(antidomain(X1))))),inference(spm,[status(thm)],[102,1081,theory(equality)])).
% cnf(42009,plain,(addition(multiplication(X1,coantidomain(X1)),multiplication(antidomain(antidomain(X1)),multiplication(X1,X2)))=multiplication(X1,X2)),inference(spm,[status(thm)],[1081,1591,theory(equality)])).
% cnf(42010,plain,(addition(multiplication(X1,coantidomain(X1)),multiplication(antidomain(antidomain(X1)),X1))=X1),inference(spm,[status(thm)],[1081,1522,theory(equality)])).
% cnf(42135,plain,(multiplication(antidomain(antidomain(X1)),multiplication(X1,X2))=multiplication(X1,X2)),inference(rw,[status(thm)],[42009,235,theory(equality)])).
% cnf(42136,plain,(multiplication(antidomain(antidomain(X1)),X1)=X1),inference(rw,[status(thm)],[42010,235,theory(equality)])).
% cnf(42195,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)],[42136,10438,theory(equality)])).
% cnf(42200,plain,(multiplication(antidomain(coantidomain(zero)),multiplication(X1,antidomain(antidomain(coantidomain(X1)))))=multiplication(X1,antidomain(antidomain(coantidomain(X1))))),inference(spm,[status(thm)],[42136,1311,theory(equality)])).
% cnf(42255,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)],[42195,438,theory(equality)]),36,theory(equality)]),1356,theory(equality)]),1365,theory(equality)]),100,theory(equality)])).
% cnf(42259,plain,(zero=multiplication(X1,antidomain(antidomain(coantidomain(X1))))),inference(rw,[status(thm)],[inference(rw,[status(thm)],[42200,429,theory(equality)]),60,theory(equality)])).
% cnf(42770,plain,(leq(coantidomain(antidomain(antidomain(X1))),addition(antidomain(X1),X2))),inference(spm,[status(thm)],[15138,41916,theory(equality)])).
% cnf(43223,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)],[1082,1522,theory(equality)])).
% cnf(43227,plain,(addition(multiplication(X1,antidomain(coantidomain(X1))),zero)=X1),inference(spm,[status(thm)],[1082,42259,theory(equality)])).
% cnf(43335,plain,(antidomain(X1)=antidomain(antidomain(antidomain(X1)))),inference(rw,[status(thm)],[inference(rw,[status(thm)],[43223,42136,theory(equality)]),102,theory(equality)])).
% cnf(43339,plain,(multiplication(X1,antidomain(coantidomain(X1)))=X1),inference(rw,[status(thm)],[43227,52,theory(equality)])).
% cnf(43382,plain,(multiplication(antidomain(X1),antidomain(antidomain(X1)))=multiplication(antidomain(antidomain(X1)),coantidomain(antidomain(antidomain(X1))))),inference(spm,[status(thm)],[1522,43335,theory(equality)])).
% cnf(43513,negated_conjecture,(addition(antidomain(antidomain(multiplication(esk1_0,antidomain(antidomain(esk2_0))))),antidomain(antidomain(esk3_0)))=antidomain(antidomain(esk3_0))),inference(rw,[status(thm)],[98,43335,theory(equality)])).
% cnf(48497,plain,(addition(multiplication(X1,coantidomain(X1)),multiplication(coantidomain(coantidomain(X1)),antidomain(antidomain(antidomain(coantidomain(X1))))))=coantidomain(coantidomain(X1))),inference(spm,[status(thm)],[1082,42255,theory(equality)])).
% cnf(48592,plain,(multiplication(coantidomain(coantidomain(X1)),antidomain(coantidomain(X1)))=coantidomain(coantidomain(X1))),inference(rw,[status(thm)],[inference(rw,[status(thm)],[48497,43335,theory(equality)]),235,theory(equality)])).
% cnf(49855,plain,(multiplication(antidomain(antidomain(antidomain(antidomain(X1)))),multiplication(antidomain(X1),antidomain(antidomain(X1))))=multiplication(antidomain(X1),antidomain(antidomain(X1)))),inference(spm,[status(thm)],[42135,43382,theory(equality)])).
% cnf(49958,plain,(multiplication(antidomain(X1),coantidomain(antidomain(X1)))=multiplication(antidomain(X1),antidomain(antidomain(X1)))),inference(rw,[status(thm)],[inference(rw,[status(thm)],[49855,43335,theory(equality)]),1591,theory(equality)])).
% cnf(50046,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)],[46,49958,theory(equality)])).
% cnf(50124,plain,(coantidomain(multiplication(antidomain(X1),coantidomain(antidomain(X1))))=coantidomain(multiplication(coantidomain(coantidomain(antidomain(X1))),antidomain(antidomain(X1))))),inference(rw,[status(thm)],[50046,1887,theory(equality)])).
% cnf(62076,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)],[438,50124,theory(equality)])).
% cnf(62273,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)],[62076,36,theory(equality)]),457,theory(equality)]),50124,theory(equality)]),438,theory(equality)])).
% cnf(62274,plain,(multiplication(antidomain(X1),coantidomain(antidomain(X1)))=multiplication(coantidomain(coantidomain(antidomain(X1))),antidomain(antidomain(X1)))),inference(rw,[status(thm)],[inference(rw,[status(thm)],[62273,36,theory(equality)]),457,theory(equality)])).
% cnf(62550,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)],[1082,62274,theory(equality)])).
% cnf(62645,plain,(multiplication(coantidomain(coantidomain(antidomain(X1))),antidomain(X1))=coantidomain(coantidomain(antidomain(X1)))),inference(rw,[status(thm)],[inference(rw,[status(thm)],[62550,43335,theory(equality)]),235,theory(equality)])).
% cnf(81195,negated_conjecture,(leq(coantidomain(antidomain(antidomain(antidomain(multiplication(esk1_0,antidomain(antidomain(esk2_0))))))),antidomain(antidomain(esk3_0)))),inference(spm,[status(thm)],[42770,43513,theory(equality)])).
% cnf(81276,negated_conjecture,(leq(coantidomain(antidomain(multiplication(esk1_0,antidomain(antidomain(esk2_0))))),antidomain(antidomain(esk3_0)))),inference(rw,[status(thm)],[81195,43335,theory(equality)])).
% cnf(81303,negated_conjecture,(addition(coantidomain(antidomain(multiplication(esk1_0,antidomain(antidomain(esk2_0))))),antidomain(antidomain(esk3_0)))=antidomain(antidomain(esk3_0))),inference(spm,[status(thm)],[56,81276,theory(equality)])).
% cnf(84147,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)],[1599,2873,theory(equality)])).
% cnf(84619,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)],[84147,1522,theory(equality)]),235,theory(equality)])).
% cnf(84620,plain,(multiplication(antidomain(X1),multiplication(coantidomain(X2),X1))=multiplication(X1,coantidomain(X1))),inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[84619,36,theory(equality)]),100,theory(equality)]),235,theory(equality)])).
% cnf(91128,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)],[1081,84620,theory(equality)])).
% cnf(91141,plain,(multiplication(antidomain(coantidomain(X1)),coantidomain(antidomain(coantidomain(X1))))=multiplication(coantidomain(X1),antidomain(coantidomain(X1)))),inference(spm,[status(thm)],[42135,84620,theory(equality)])).
% cnf(91268,plain,(multiplication(antidomain(X1),multiplication(coantidomain(X2),antidomain(X1)))=multiplication(coantidomain(X2),antidomain(X1))),inference(rw,[status(thm)],[91128,102,theory(equality)])).
% cnf(95312,plain,(multiplication(antidomain(antidomain(antidomain(coantidomain(X1)))),multiplication(coantidomain(X1),antidomain(coantidomain(X1))))=multiplication(coantidomain(X1),antidomain(coantidomain(X1)))),inference(spm,[status(thm)],[42135,91141,theory(equality)])).
% cnf(95440,plain,(multiplication(X1,coantidomain(X1))=multiplication(coantidomain(X1),antidomain(coantidomain(X1)))),inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[95312,43335,theory(equality)]),1591,theory(equality)]),1365,theory(equality)])).
% cnf(101094,plain,(addition(coantidomain(multiplication(X1,multiplication(X2,coantidomain(X2)))),coantidomain(multiplication(coantidomain(coantidomain(multiplication(X1,antidomain(X2)))),X2)))=coantidomain(multiplication(coantidomain(coantidomain(multiplication(X1,antidomain(X2)))),X2))),inference(spm,[status(thm)],[1642,1522,theory(equality)])).
% cnf(101385,plain,(coantidomain(multiplication(X2,coantidomain(X2)))=coantidomain(multiplication(coantidomain(coantidomain(multiplication(X1,antidomain(X2)))),X2))),inference(rw,[status(thm)],[inference(rw,[status(thm)],[101094,100,theory(equality)]),1887,theory(equality)])).
% cnf(101770,plain,(multiplication(coantidomain(antidomain(X1)),antidomain(X1))=multiplication(antidomain(X1),coantidomain(antidomain(X1)))),inference(spm,[status(thm)],[1356,91268,theory(equality)])).
% cnf(102941,plain,(addition(multiplication(antidomain(X1),coantidomain(antidomain(X1))),multiplication(coantidomain(antidomain(X1)),antidomain(antidomain(X1))))=coantidomain(antidomain(X1))),inference(spm,[status(thm)],[1082,101770,theory(equality)])).
% cnf(103084,plain,(multiplication(coantidomain(antidomain(X1)),antidomain(antidomain(X1)))=coantidomain(antidomain(X1))),inference(rw,[status(thm)],[102941,235,theory(equality)])).
% cnf(109136,plain,(addition(multiplication(coantidomain(X1),antidomain(coantidomain(X1))),coantidomain(coantidomain(X1)))=antidomain(coantidomain(X1))),inference(spm,[status(thm)],[1773,48592,theory(equality)])).
% cnf(109139,plain,(addition(multiplication(coantidomain(antidomain(X1)),antidomain(antidomain(X1))),multiplication(antidomain(X1),coantidomain(antidomain(X1))))=antidomain(antidomain(X1))),inference(spm,[status(thm)],[1773,62274,theory(equality)])).
% cnf(109140,plain,(addition(multiplication(coantidomain(antidomain(X1)),antidomain(X1)),coantidomain(coantidomain(antidomain(X1))))=antidomain(X1)),inference(spm,[status(thm)],[1773,62645,theory(equality)])).
% cnf(109347,plain,(coantidomain(coantidomain(X1))=antidomain(coantidomain(X1))),inference(rw,[status(thm)],[inference(rw,[status(thm)],[109136,95440,theory(equality)]),235,theory(equality)])).
% cnf(109350,plain,(coantidomain(antidomain(X1))=antidomain(antidomain(X1))),inference(rw,[status(thm)],[inference(rw,[status(thm)],[109139,103084,theory(equality)]),2121,theory(equality)])).
% cnf(109351,plain,(coantidomain(coantidomain(antidomain(X1)))=antidomain(X1)),inference(rw,[status(thm)],[inference(rw,[status(thm)],[109140,101770,theory(equality)]),235,theory(equality)])).
% cnf(109580,plain,(multiplication(X1,coantidomain(coantidomain(X1)))=X1),inference(rw,[status(thm)],[43339,109347,theory(equality)])).
% cnf(109994,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)],[81303,109350,theory(equality)]),109350,theory(equality)])).
% cnf(109995,negated_conjecture,(addition(coantidomain(antidomain(multiplication(esk1_0,coantidomain(antidomain(esk2_0))))),coantidomain(antidomain(esk3_0)))=coantidomain(antidomain(esk3_0))),inference(rw,[status(thm)],[109994,109350,theory(equality)])).
% cnf(110000,negated_conjecture,(addition(multiplication(esk1_0,coantidomain(antidomain(esk2_0))),multiplication(coantidomain(antidomain(esk3_0)),esk1_0))!=multiplication(antidomain(antidomain(esk3_0)),esk1_0)),inference(rw,[status(thm)],[inference(rw,[status(thm)],[95,109350,theory(equality)]),109350,theory(equality)])).
% cnf(110001,negated_conjecture,(addition(multiplication(esk1_0,coantidomain(antidomain(esk2_0))),multiplication(coantidomain(antidomain(esk3_0)),esk1_0))!=multiplication(coantidomain(antidomain(esk3_0)),esk1_0)),inference(rw,[status(thm)],[110000,109350,theory(equality)])).
% cnf(111229,plain,(addition(zero,multiplication(X1,coantidomain(coantidomain(addition(X2,X1)))))=X1),inference(spm,[status(thm)],[1774,29487,theory(equality)])).
% cnf(111351,plain,(multiplication(X1,coantidomain(coantidomain(addition(X2,X1))))=X1),inference(rw,[status(thm)],[111229,205,theory(equality)])).
% cnf(111375,plain,(addition(coantidomain(X1),multiplication(coantidomain(coantidomain(X1)),coantidomain(coantidomain(coantidomain(X1)))))=coantidomain(coantidomain(coantidomain(X1)))),inference(spm,[status(thm)],[1773,109580,theory(equality)])).
% cnf(111483,plain,(coantidomain(X1)=coantidomain(coantidomain(coantidomain(X1)))),inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[111375,1365,theory(equality)]),1365,theory(equality)]),102,theory(equality)])).
% cnf(122848,negated_conjecture,(multiplication(coantidomain(antidomain(multiplication(esk1_0,coantidomain(antidomain(esk2_0))))),coantidomain(coantidomain(antidomain(esk3_0))))=zero),inference(spm,[status(thm)],[29480,109995,theory(equality)])).
% cnf(122963,negated_conjecture,(multiplication(coantidomain(antidomain(multiplication(esk1_0,coantidomain(antidomain(esk2_0))))),antidomain(esk3_0))=zero),inference(rw,[status(thm)],[122848,109351,theory(equality)])).
% cnf(123054,negated_conjecture,(addition(zero,multiplication(coantidomain(coantidomain(antidomain(multiplication(esk1_0,coantidomain(antidomain(esk2_0)))))),antidomain(esk3_0)))=antidomain(esk3_0)),inference(spm,[status(thm)],[1773,122963,theory(equality)])).
% cnf(123124,negated_conjecture,(multiplication(antidomain(multiplication(esk1_0,coantidomain(antidomain(esk2_0)))),antidomain(esk3_0))=antidomain(esk3_0)),inference(rw,[status(thm)],[inference(rw,[status(thm)],[123054,109351,theory(equality)]),205,theory(equality)])).
% cnf(123174,negated_conjecture,(addition(antidomain(multiplication(esk1_0,coantidomain(antidomain(esk2_0)))),antidomain(esk3_0))=antidomain(multiplication(esk1_0,coantidomain(antidomain(esk2_0))))),inference(spm,[status(thm)],[2313,123124,theory(equality)])).
% cnf(123297,negated_conjecture,(multiplication(antidomain(esk3_0),coantidomain(coantidomain(antidomain(multiplication(esk1_0,coantidomain(antidomain(esk2_0)))))))=antidomain(esk3_0)),inference(spm,[status(thm)],[111351,123174,theory(equality)])).
% cnf(123392,negated_conjecture,(multiplication(antidomain(esk3_0),antidomain(multiplication(esk1_0,coantidomain(antidomain(esk2_0)))))=antidomain(esk3_0)),inference(rw,[status(thm)],[123297,109351,theory(equality)])).
% cnf(281645,plain,(coantidomain(coantidomain(multiplication(multiplication(coantidomain(coantidomain(multiplication(X1,antidomain(X2)))),X2),coantidomain(multiplication(X2,coantidomain(X2))))))=multiplication(multiplication(coantidomain(coantidomain(multiplication(X1,antidomain(X2)))),X2),coantidomain(multiplication(X2,coantidomain(X2))))),inference(spm,[status(thm)],[445,101385,theory(equality)])).
% cnf(282042,plain,(multiplication(X2,coantidomain(X2))=multiplication(multiplication(coantidomain(coantidomain(multiplication(X1,antidomain(X2)))),X2),coantidomain(multiplication(X2,coantidomain(X2))))),inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[281645,36,theory(equality)]),457,theory(equality)]),101385,theory(equality)]),445,theory(equality)])).
% cnf(282043,plain,(multiplication(X2,coantidomain(X2))=multiplication(coantidomain(coantidomain(multiplication(X1,antidomain(X2)))),X2)),inference(rw,[status(thm)],[inference(rw,[status(thm)],[282042,36,theory(equality)]),457,theory(equality)])).
% cnf(282754,plain,(addition(multiplication(X2,coantidomain(X2)),multiplication(coantidomain(coantidomain(coantidomain(multiplication(X1,antidomain(X2))))),X2))=X2),inference(spm,[status(thm)],[1773,282043,theory(equality)])).
% cnf(283122,plain,(multiplication(coantidomain(multiplication(X1,antidomain(X2))),X2)=X2),inference(rw,[status(thm)],[inference(rw,[status(thm)],[282754,111483,theory(equality)]),235,theory(equality)])).
% cnf(283529,negated_conjecture,(multiplication(coantidomain(antidomain(esk3_0)),multiplication(esk1_0,coantidomain(antidomain(esk2_0))))=multiplication(esk1_0,coantidomain(antidomain(esk2_0)))),inference(spm,[status(thm)],[283122,123392,theory(equality)])).
% cnf(302036,negated_conjecture,(leq(multiplication(esk1_0,coantidomain(antidomain(esk2_0))),multiplication(coantidomain(antidomain(esk3_0)),esk1_0))),inference(spm,[status(thm)],[3778,283529,theory(equality)])).
% cnf(303497,negated_conjecture,(addition(multiplication(esk1_0,coantidomain(antidomain(esk2_0))),multiplication(coantidomain(antidomain(esk3_0)),esk1_0))=multiplication(coantidomain(antidomain(esk3_0)),esk1_0)),inference(spm,[status(thm)],[56,302036,theory(equality)])).
% cnf(303498,negated_conjecture,($false),inference(sr,[status(thm)],[303497,110001,theory(equality)])).
% cnf(303499,negated_conjecture,($false),303498,['proof']).
% # SZS output end CNFRefutation
% # Processed clauses : 10046
% # ...of these trivial : 1512
% # ...subsumed : 7391
% # ...remaining for further processing: 1143
% # Other redundant clauses eliminated : 0
% # Clauses deleted for lack of memory : 0
% # Backward-subsumed : 1
% # Backward-rewritten : 412
% # Generated clauses : 152598
% # ...of the previous two non-trivial : 81271
% # Contextual simplify-reflections : 0
% # Paramodulations : 152580
% # Factorizations : 0
% # Equation resolutions : 18
% # Current number of processed clauses: 730
% # Positive orientable unit clauses: 530
% # Positive unorientable unit clauses: 23
% # Negative unit clauses : 1
% # Non-unit-clauses : 176
% # Current number of unprocessed clauses: 41586
% # ...number of literals in the above : 63663
% # Clause-clause subsumption calls (NU) : 28662
% # Rec. Clause-clause subsumption calls : 28662
% # Unit Clause-clause subsumption calls : 638
% # Rewrite failures with RHS unbound : 256
% # Indexed BW rewrite attempts : 2393
% # Indexed BW rewrite successes : 453
% # Backwards rewriting index: 495 leaves, 2.29+/-2.186 terms/leaf
% # Paramod-from index: 290 leaves, 1.93+/-1.595 terms/leaf
% # Paramod-into index: 427 leaves, 2.32+/-2.271 terms/leaf
% # -------------------------------------------------
% # User time : 3.978 s
% # System time : 0.141 s
% # Total time : 4.119 s
% # Maximum resident set size: 0 pages
% PrfWatch: 7.71 CPU 7.85 WC
% FINAL PrfWatch: 7.71 CPU 7.85 WC
% SZS output end Solution for /tmp/SystemOnTPTP17340/KLE098+1.tptp
%
%------------------------------------------------------------------------------