TSTP Solution File: KLE100+1 by SRASS---0.1
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- Process Solution
%------------------------------------------------------------------------------
% File : SRASS---0.1
% Problem : KLE100+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 : art03.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 07:56:29 EST 2010
% Result : Theorem 5.55s
% Output : Solution 5.55s
% 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/SystemOnTPTP17826/KLE100+1.tptp
% Adding relevance values
% Extracting the conjecture
% Sorting axioms by relevance
% Looking for THM ...
% found
% SZS status THM for /tmp/SystemOnTPTP17826/KLE100+1.tptp
% SZS output start Solution for /tmp/SystemOnTPTP17826/KLE100+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 17922
% TreeLimitedRun: ----------------------------------------------------------
% PrfWatch: 0.00 CPU 0.00 WC
% PrfWatch: 1.92 CPU 2.01 WC
% # Preprocessing time : 0.011 s
% # Problem is unsatisfiable (or provable), constructing proof object
% # SZS status Theorem
% PrfWatch: 3.90 CPU 4.01 WC
% # SZS output start CNFRefutation.
% fof(1, axiom,![X1]:![X2]:addition(X1,X2)=addition(X2,X1),file('/tmp/SRASS.s.p', additive_commutativity)).
% fof(2, axiom,![X3]:![X2]:![X1]:addition(X1,addition(X2,X3))=addition(addition(X1,X2),X3),file('/tmp/SRASS.s.p', additive_associativity)).
% fof(3, axiom,![X1]:addition(X1,zero)=X1,file('/tmp/SRASS.s.p', additive_identity)).
% fof(4, axiom,![X1]:addition(X1,X1)=X1,file('/tmp/SRASS.s.p', additive_idempotence)).
% fof(5, axiom,![X1]:![X2]:![X3]:multiplication(X1,multiplication(X2,X3))=multiplication(multiplication(X1,X2),X3),file('/tmp/SRASS.s.p', multiplicative_associativity)).
% fof(6, axiom,![X1]:![X2]:![X3]:multiplication(X1,addition(X2,X3))=addition(multiplication(X1,X2),multiplication(X1,X3)),file('/tmp/SRASS.s.p', right_distributivity)).
% fof(7, axiom,![X1]:![X2]:![X3]:multiplication(addition(X1,X2),X3)=addition(multiplication(X1,X3),multiplication(X2,X3)),file('/tmp/SRASS.s.p', left_distributivity)).
% fof(8, axiom,![X1]:multiplication(X1,zero)=zero,file('/tmp/SRASS.s.p', right_annihilation)).
% fof(9, axiom,![X1]:multiplication(zero,X1)=zero,file('/tmp/SRASS.s.p', left_annihilation)).
% fof(10, axiom,![X4]:multiplication(antidomain(X4),X4)=zero,file('/tmp/SRASS.s.p', domain1)).
% fof(11, 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(12, axiom,![X4]:domain(X4)=antidomain(antidomain(X4)),file('/tmp/SRASS.s.p', domain4)).
% fof(13, axiom,![X4]:![X5]:forward_diamond(X4,X5)=domain(multiplication(X4,domain(X5))),file('/tmp/SRASS.s.p', forward_diamond)).
% fof(16, axiom,![X4]:addition(antidomain(antidomain(X4)),antidomain(X4))=one,file('/tmp/SRASS.s.p', domain3)).
% fof(17, axiom,![X4]:multiplication(X4,coantidomain(X4))=zero,file('/tmp/SRASS.s.p', codomain1)).
% fof(18, axiom,![X4]:![X5]:addition(coantidomain(multiplication(X4,X5)),coantidomain(multiplication(coantidomain(coantidomain(X4)),X5)))=coantidomain(multiplication(coantidomain(coantidomain(X4)),X5)),file('/tmp/SRASS.s.p', codomain2)).
% fof(19, axiom,![X1]:![X2]:(leq(X1,X2)<=>addition(X1,X2)=X2),file('/tmp/SRASS.s.p', order)).
% fof(21, axiom,![X1]:multiplication(X1,one)=X1,file('/tmp/SRASS.s.p', multiplicative_right_identity)).
% fof(22, axiom,![X1]:multiplication(one,X1)=X1,file('/tmp/SRASS.s.p', multiplicative_left_identity)).
% fof(23, axiom,![X4]:addition(coantidomain(coantidomain(X4)),coantidomain(X4))=one,file('/tmp/SRASS.s.p', codomain3)).
% fof(27, conjecture,![X4]:![X5]:![X6]:(addition(forward_diamond(X4,domain(X5)),domain(X6))=domain(X6)<=multiplication(antidomain(X6),multiplication(X4,domain(X5)))=zero),file('/tmp/SRASS.s.p', goals)).
% fof(28, negated_conjecture,~(![X4]:![X5]:![X6]:(addition(forward_diamond(X4,domain(X5)),domain(X6))=domain(X6)<=multiplication(antidomain(X6),multiplication(X4,domain(X5)))=zero)),inference(assume_negation,[status(cth)],[27])).
% fof(29, negated_conjecture,~(![X4]:![X5]:![X6]:(multiplication(antidomain(X6),multiplication(X4,domain(X5)))=zero=>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,zero)=X2,inference(variable_rename,[status(thm)],[3])).
% cnf(35,plain,(addition(X1,zero)=X1),inference(split_conjunct,[status(thm)],[34])).
% fof(36, plain,![X2]:addition(X2,X2)=X2,inference(variable_rename,[status(thm)],[4])).
% cnf(37,plain,(addition(X1,X1)=X1),inference(split_conjunct,[status(thm)],[36])).
% fof(38, plain,![X4]:![X5]:![X6]:multiplication(X4,multiplication(X5,X6))=multiplication(multiplication(X4,X5),X6),inference(variable_rename,[status(thm)],[5])).
% cnf(39,plain,(multiplication(X1,multiplication(X2,X3))=multiplication(multiplication(X1,X2),X3)),inference(split_conjunct,[status(thm)],[38])).
% fof(40, plain,![X4]:![X5]:![X6]:multiplication(X4,addition(X5,X6))=addition(multiplication(X4,X5),multiplication(X4,X6)),inference(variable_rename,[status(thm)],[6])).
% cnf(41,plain,(multiplication(X1,addition(X2,X3))=addition(multiplication(X1,X2),multiplication(X1,X3))),inference(split_conjunct,[status(thm)],[40])).
% fof(42, plain,![X4]:![X5]:![X6]:multiplication(addition(X4,X5),X6)=addition(multiplication(X4,X6),multiplication(X5,X6)),inference(variable_rename,[status(thm)],[7])).
% cnf(43,plain,(multiplication(addition(X1,X2),X3)=addition(multiplication(X1,X3),multiplication(X2,X3))),inference(split_conjunct,[status(thm)],[42])).
% fof(44, plain,![X2]:multiplication(X2,zero)=zero,inference(variable_rename,[status(thm)],[8])).
% cnf(45,plain,(multiplication(X1,zero)=zero),inference(split_conjunct,[status(thm)],[44])).
% fof(46, plain,![X2]:multiplication(zero,X2)=zero,inference(variable_rename,[status(thm)],[9])).
% cnf(47,plain,(multiplication(zero,X1)=zero),inference(split_conjunct,[status(thm)],[46])).
% fof(48, plain,![X5]:multiplication(antidomain(X5),X5)=zero,inference(variable_rename,[status(thm)],[10])).
% cnf(49,plain,(multiplication(antidomain(X1),X1)=zero),inference(split_conjunct,[status(thm)],[48])).
% fof(50, 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)],[11])).
% cnf(51,plain,(addition(antidomain(multiplication(X1,X2)),antidomain(multiplication(X1,antidomain(antidomain(X2)))))=antidomain(multiplication(X1,antidomain(antidomain(X2))))),inference(split_conjunct,[status(thm)],[50])).
% fof(52, plain,![X5]:domain(X5)=antidomain(antidomain(X5)),inference(variable_rename,[status(thm)],[12])).
% cnf(53,plain,(domain(X1)=antidomain(antidomain(X1))),inference(split_conjunct,[status(thm)],[52])).
% fof(54, plain,![X6]:![X7]:forward_diamond(X6,X7)=domain(multiplication(X6,domain(X7))),inference(variable_rename,[status(thm)],[13])).
% cnf(55,plain,(forward_diamond(X1,X2)=domain(multiplication(X1,domain(X2)))),inference(split_conjunct,[status(thm)],[54])).
% fof(60, plain,![X5]:addition(antidomain(antidomain(X5)),antidomain(X5))=one,inference(variable_rename,[status(thm)],[16])).
% cnf(61,plain,(addition(antidomain(antidomain(X1)),antidomain(X1))=one),inference(split_conjunct,[status(thm)],[60])).
% fof(62, plain,![X5]:multiplication(X5,coantidomain(X5))=zero,inference(variable_rename,[status(thm)],[17])).
% cnf(63,plain,(multiplication(X1,coantidomain(X1))=zero),inference(split_conjunct,[status(thm)],[62])).
% fof(64, 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)],[18])).
% cnf(65,plain,(addition(coantidomain(multiplication(X1,X2)),coantidomain(multiplication(coantidomain(coantidomain(X1)),X2)))=coantidomain(multiplication(coantidomain(coantidomain(X1)),X2))),inference(split_conjunct,[status(thm)],[64])).
% fof(66, plain,![X1]:![X2]:((~(leq(X1,X2))|addition(X1,X2)=X2)&(~(addition(X1,X2)=X2)|leq(X1,X2))),inference(fof_nnf,[status(thm)],[19])).
% fof(67, plain,![X3]:![X4]:((~(leq(X3,X4))|addition(X3,X4)=X4)&(~(addition(X3,X4)=X4)|leq(X3,X4))),inference(variable_rename,[status(thm)],[66])).
% cnf(68,plain,(leq(X1,X2)|addition(X1,X2)!=X2),inference(split_conjunct,[status(thm)],[67])).
% cnf(69,plain,(addition(X1,X2)=X2|~leq(X1,X2)),inference(split_conjunct,[status(thm)],[67])).
% fof(72, plain,![X2]:multiplication(X2,one)=X2,inference(variable_rename,[status(thm)],[21])).
% cnf(73,plain,(multiplication(X1,one)=X1),inference(split_conjunct,[status(thm)],[72])).
% fof(74, plain,![X2]:multiplication(one,X2)=X2,inference(variable_rename,[status(thm)],[22])).
% cnf(75,plain,(multiplication(one,X1)=X1),inference(split_conjunct,[status(thm)],[74])).
% fof(76, plain,![X5]:addition(coantidomain(coantidomain(X5)),coantidomain(X5))=one,inference(variable_rename,[status(thm)],[23])).
% cnf(77,plain,(addition(coantidomain(coantidomain(X1)),coantidomain(X1))=one),inference(split_conjunct,[status(thm)],[76])).
% fof(84, negated_conjecture,?[X4]:?[X5]:?[X6]:(multiplication(antidomain(X6),multiplication(X4,domain(X5)))=zero&~(addition(forward_diamond(X4,domain(X5)),domain(X6))=domain(X6))),inference(fof_nnf,[status(thm)],[29])).
% fof(85, negated_conjecture,?[X7]:?[X8]:?[X9]:(multiplication(antidomain(X9),multiplication(X7,domain(X8)))=zero&~(addition(forward_diamond(X7,domain(X8)),domain(X9))=domain(X9))),inference(variable_rename,[status(thm)],[84])).
% fof(86, negated_conjecture,(multiplication(antidomain(esk3_0),multiplication(esk1_0,domain(esk2_0)))=zero&~(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,(multiplication(antidomain(esk3_0),multiplication(esk1_0,domain(esk2_0)))=zero),inference(split_conjunct,[status(thm)],[86])).
% cnf(90,plain,(antidomain(antidomain(multiplication(X1,antidomain(antidomain(X2)))))=forward_diamond(X1,X2)),inference(rw,[status(thm)],[inference(rw,[status(thm)],[55,53,theory(equality)]),53,theory(equality)]),['unfolding']).
% cnf(92,negated_conjecture,(multiplication(antidomain(esk3_0),multiplication(esk1_0,antidomain(antidomain(esk2_0))))=zero),inference(rw,[status(thm)],[88,53,theory(equality)]),['unfolding']).
% cnf(93,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)],[87,53,theory(equality)]),53,theory(equality)]),53,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)],[93,90,theory(equality)]),['unfolding']).
% cnf(99,plain,(multiplication(X1,multiplication(X2,coantidomain(X2)))=multiplication(X2,coantidomain(X2))),inference(spm,[status(thm)],[45,63,theory(equality)])).
% cnf(101,plain,(multiplication(multiplication(X2,coantidomain(X2)),X1)=multiplication(X2,coantidomain(X2))),inference(spm,[status(thm)],[47,63,theory(equality)])).
% cnf(102,plain,(addition(X1,multiplication(X2,coantidomain(X2)))=X1),inference(spm,[status(thm)],[35,63,theory(equality)])).
% cnf(103,plain,(zero=coantidomain(one)),inference(spm,[status(thm)],[75,63,theory(equality)])).
% cnf(109,plain,(multiplication(multiplication(antidomain(X2),X2),X1)=multiplication(antidomain(X2),X2)),inference(spm,[status(thm)],[47,49,theory(equality)])).
% cnf(111,plain,(zero=antidomain(one)),inference(spm,[status(thm)],[73,49,theory(equality)])).
% cnf(137,plain,(addition(X1,X2)=addition(X1,addition(X1,X2))),inference(spm,[status(thm)],[33,37,theory(equality)])).
% cnf(157,negated_conjecture,(multiplication(zero,X1)=multiplication(antidomain(esk3_0),multiplication(multiplication(esk1_0,antidomain(antidomain(esk2_0))),X1))),inference(spm,[status(thm)],[39,92,theory(equality)])).
% cnf(168,negated_conjecture,(zero=multiplication(antidomain(esk3_0),multiplication(multiplication(esk1_0,antidomain(antidomain(esk2_0))),X1))),inference(rw,[status(thm)],[157,47,theory(equality)])).
% cnf(169,negated_conjecture,(zero=multiplication(antidomain(esk3_0),multiplication(esk1_0,multiplication(antidomain(antidomain(esk2_0)),X1)))),inference(rw,[status(thm)],[168,39,theory(equality)])).
% cnf(178,plain,(leq(X1,addition(X1,X2))),inference(spm,[status(thm)],[68,137,theory(equality)])).
% cnf(196,plain,(addition(zero,X1)=X1),inference(spm,[status(thm)],[35,31,theory(equality)])).
% cnf(210,negated_conjecture,(addition(antidomain(antidomain(esk3_0)),antidomain(antidomain(multiplication(esk1_0,antidomain(antidomain(antidomain(antidomain(esk2_0))))))))!=antidomain(antidomain(esk3_0))),inference(rw,[status(thm)],[98,31,theory(equality)])).
% cnf(225,plain,(addition(multiplication(X2,coantidomain(X2)),X1)=X1),inference(spm,[status(thm)],[196,63,theory(equality)])).
% cnf(242,plain,(leq(X1,addition(X2,X1))),inference(spm,[status(thm)],[178,31,theory(equality)])).
% cnf(251,plain,(leq(X1,addition(X2,addition(X3,X1)))),inference(spm,[status(thm)],[242,33,theory(equality)])).
% cnf(283,plain,(addition(antidomain(X1),antidomain(antidomain(X1)))=one),inference(rw,[status(thm)],[61,31,theory(equality)])).
% cnf(294,plain,(addition(zero,antidomain(zero))=one),inference(spm,[status(thm)],[283,111,theory(equality)])).
% cnf(296,plain,(antidomain(zero)=one),inference(rw,[status(thm)],[294,196,theory(equality)])).
% cnf(308,plain,(antidomain(antidomain(zero))=zero),inference(rw,[status(thm)],[111,296,theory(equality)])).
% cnf(309,plain,(coantidomain(antidomain(zero))=zero),inference(rw,[status(thm)],[103,296,theory(equality)])).
% cnf(310,plain,(addition(antidomain(X1),antidomain(antidomain(X1)))=antidomain(zero)),inference(rw,[status(thm)],[283,296,theory(equality)])).
% cnf(311,plain,(multiplication(X1,antidomain(zero))=X1),inference(rw,[status(thm)],[73,296,theory(equality)])).
% cnf(312,plain,(multiplication(antidomain(zero),X1)=X1),inference(rw,[status(thm)],[75,296,theory(equality)])).
% cnf(401,plain,(addition(coantidomain(X1),coantidomain(coantidomain(X1)))=one),inference(rw,[status(thm)],[77,31,theory(equality)])).
% cnf(402,plain,(addition(coantidomain(X1),coantidomain(coantidomain(X1)))=antidomain(zero)),inference(rw,[status(thm)],[401,296,theory(equality)])).
% cnf(422,plain,(addition(zero,coantidomain(zero))=antidomain(zero)),inference(spm,[status(thm)],[402,309,theory(equality)])).
% cnf(428,plain,(coantidomain(zero)=antidomain(zero)),inference(rw,[status(thm)],[422,196,theory(equality)])).
% cnf(434,plain,(antidomain(multiplication(X1,coantidomain(X1)))=coantidomain(multiplication(X1,coantidomain(X1)))),inference(spm,[status(thm)],[428,63,theory(equality)])).
% cnf(436,plain,(antidomain(coantidomain(zero))=zero),inference(rw,[status(thm)],[308,428,theory(equality)])).
% cnf(437,plain,(coantidomain(coantidomain(zero))=zero),inference(rw,[status(thm)],[309,428,theory(equality)])).
% cnf(438,plain,(addition(coantidomain(X1),coantidomain(coantidomain(X1)))=coantidomain(zero)),inference(rw,[status(thm)],[402,428,theory(equality)])).
% cnf(439,plain,(multiplication(X1,coantidomain(zero))=X1),inference(rw,[status(thm)],[311,428,theory(equality)])).
% cnf(440,plain,(multiplication(coantidomain(zero),X1)=X1),inference(rw,[status(thm)],[312,428,theory(equality)])).
% cnf(449,plain,(antidomain(coantidomain(multiplication(X1,coantidomain(X1))))=multiplication(X1,coantidomain(X1))),inference(spm,[status(thm)],[436,63,theory(equality)])).
% cnf(457,plain,(coantidomain(coantidomain(multiplication(X1,coantidomain(X1))))=multiplication(X1,coantidomain(X1))),inference(spm,[status(thm)],[437,63,theory(equality)])).
% cnf(467,plain,(multiplication(X1,coantidomain(multiplication(X2,coantidomain(X2))))=X1),inference(spm,[status(thm)],[439,63,theory(equality)])).
% cnf(969,plain,(addition(multiplication(X1,coantidomain(addition(X1,X2))),multiplication(X2,coantidomain(addition(X1,X2))))=zero),inference(spm,[status(thm)],[63,43,theory(equality)])).
% cnf(1070,plain,(multiplication(X2,multiplication(coantidomain(X2),X1))=multiplication(X2,coantidomain(X2))),inference(rw,[status(thm)],[101,39,theory(equality)])).
% cnf(1078,plain,(multiplication(X1,coantidomain(X1))=multiplication(coantidomain(X1),coantidomain(coantidomain(X1)))),inference(spm,[status(thm)],[99,1070,theory(equality)])).
% cnf(1215,plain,(multiplication(antidomain(X2),multiplication(X2,X1))=multiplication(antidomain(X2),X2)),inference(rw,[status(thm)],[109,39,theory(equality)])).
% cnf(1219,plain,(multiplication(antidomain(X1),X1)=multiplication(X1,coantidomain(X1))),inference(spm,[status(thm)],[99,1215,theory(equality)])).
% cnf(1270,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)],[41,1219,theory(equality)])).
% cnf(1289,plain,(multiplication(antidomain(X1),multiplication(X1,X2))=multiplication(X1,coantidomain(X1))),inference(rw,[status(thm)],[1215,1219,theory(equality)])).
% cnf(1295,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)],[1270,43,theory(equality)])).
% cnf(1338,plain,(addition(antidomain(multiplication(X1,coantidomain(X1))),antidomain(multiplication(X1,antidomain(antidomain(multiplication(coantidomain(X1),X2))))))=antidomain(multiplication(X1,antidomain(antidomain(multiplication(coantidomain(X1),X2)))))),inference(spm,[status(thm)],[51,1070,theory(equality)])).
% cnf(1376,plain,(addition(coantidomain(multiplication(X1,coantidomain(X1))),antidomain(multiplication(X1,antidomain(antidomain(multiplication(coantidomain(X1),X2))))))=antidomain(multiplication(X1,antidomain(antidomain(multiplication(coantidomain(X1),X2)))))),inference(rw,[status(thm)],[1338,434,theory(equality)])).
% cnf(1382,plain,(addition(antidomain(X1),antidomain(antidomain(X1)))=coantidomain(zero)),inference(rw,[status(thm)],[310,428,theory(equality)])).
% cnf(1393,plain,(multiplication(addition(antidomain(X2),antidomain(antidomain(X2))),X1)=X1),inference(spm,[status(thm)],[440,1382,theory(equality)])).
% cnf(1394,plain,(multiplication(X1,addition(antidomain(X2),antidomain(antidomain(X2))))=X1),inference(spm,[status(thm)],[439,1382,theory(equality)])).
% cnf(1401,plain,(addition(antidomain(X1),coantidomain(zero))=coantidomain(zero)),inference(spm,[status(thm)],[137,1382,theory(equality)])).
% cnf(1437,plain,(addition(multiplication(antidomain(X2),X1),multiplication(antidomain(antidomain(X2)),X1))=X1),inference(rw,[status(thm)],[1393,43,theory(equality)])).
% cnf(1438,plain,(addition(multiplication(X1,antidomain(X2)),multiplication(X1,antidomain(antidomain(X2))))=X1),inference(rw,[status(thm)],[1394,41,theory(equality)])).
% cnf(1461,plain,(coantidomain(zero)=addition(coantidomain(zero),antidomain(X1))),inference(spm,[status(thm)],[31,1401,theory(equality)])).
% cnf(1464,plain,(multiplication(coantidomain(zero),X2)=addition(multiplication(antidomain(X1),X2),multiplication(coantidomain(zero),X2))),inference(spm,[status(thm)],[43,1401,theory(equality)])).
% cnf(1484,plain,(X2=addition(multiplication(antidomain(X1),X2),multiplication(coantidomain(zero),X2))),inference(rw,[status(thm)],[1464,440,theory(equality)])).
% cnf(1485,plain,(X2=addition(multiplication(antidomain(X1),X2),X2)),inference(rw,[status(thm)],[1484,440,theory(equality)])).
% cnf(1549,plain,(addition(coantidomain(multiplication(X2,coantidomain(X2))),antidomain(X1))=coantidomain(multiplication(X2,coantidomain(X2)))),inference(spm,[status(thm)],[1461,63,theory(equality)])).
% cnf(1601,plain,(addition(coantidomain(multiplication(X1,coantidomain(X1))),coantidomain(multiplication(coantidomain(coantidomain(antidomain(X1))),X1)))=coantidomain(multiplication(coantidomain(coantidomain(antidomain(X1))),X1))),inference(spm,[status(thm)],[65,1219,theory(equality)])).
% cnf(1602,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)],[65,39,theory(equality)])).
% cnf(1678,plain,(multiplication(addition(coantidomain(X2),coantidomain(coantidomain(X2))),X1)=X1),inference(spm,[status(thm)],[440,438,theory(equality)])).
% cnf(1679,plain,(multiplication(X1,addition(coantidomain(X2),coantidomain(coantidomain(X2))))=X1),inference(spm,[status(thm)],[439,438,theory(equality)])).
% cnf(1691,plain,(addition(coantidomain(X1),coantidomain(zero))=coantidomain(zero)),inference(spm,[status(thm)],[137,438,theory(equality)])).
% cnf(1731,plain,(addition(multiplication(coantidomain(X2),X1),multiplication(coantidomain(coantidomain(X2)),X1))=X1),inference(rw,[status(thm)],[1678,43,theory(equality)])).
% cnf(1732,plain,(addition(multiplication(X1,coantidomain(X2)),multiplication(X1,coantidomain(coantidomain(X2))))=X1),inference(rw,[status(thm)],[1679,41,theory(equality)])).
% cnf(1757,plain,(coantidomain(zero)=addition(coantidomain(zero),coantidomain(X1))),inference(spm,[status(thm)],[31,1691,theory(equality)])).
% cnf(1760,plain,(multiplication(coantidomain(zero),X2)=addition(multiplication(coantidomain(X1),X2),multiplication(coantidomain(zero),X2))),inference(spm,[status(thm)],[43,1691,theory(equality)])).
% cnf(1770,plain,(multiplication(X1,coantidomain(zero))=addition(multiplication(X1,coantidomain(X2)),multiplication(X1,coantidomain(zero)))),inference(spm,[status(thm)],[41,1691,theory(equality)])).
% cnf(1782,plain,(X2=addition(multiplication(coantidomain(X1),X2),multiplication(coantidomain(zero),X2))),inference(rw,[status(thm)],[1760,440,theory(equality)])).
% cnf(1783,plain,(X2=addition(multiplication(coantidomain(X1),X2),X2)),inference(rw,[status(thm)],[1782,440,theory(equality)])).
% cnf(1789,plain,(X1=addition(multiplication(X1,coantidomain(X2)),multiplication(X1,coantidomain(zero)))),inference(rw,[status(thm)],[1770,439,theory(equality)])).
% cnf(1790,plain,(X1=addition(multiplication(X1,coantidomain(X2)),X1)),inference(rw,[status(thm)],[1789,439,theory(equality)])).
% cnf(1876,plain,(addition(coantidomain(multiplication(X2,coantidomain(X2))),coantidomain(X1))=coantidomain(multiplication(X2,coantidomain(X2)))),inference(spm,[status(thm)],[1757,63,theory(equality)])).
% cnf(2345,plain,(addition(X2,multiplication(antidomain(X1),X2))=X2),inference(rw,[status(thm)],[1485,31,theory(equality)])).
% cnf(2833,plain,(addition(X2,multiplication(coantidomain(X1),X2))=X2),inference(rw,[status(thm)],[1783,31,theory(equality)])).
% cnf(2904,plain,(addition(X1,multiplication(X1,coantidomain(X2)))=X1),inference(rw,[status(thm)],[1790,31,theory(equality)])).
% cnf(5761,plain,(leq(multiplication(antidomain(X1),X2),addition(X3,X2))),inference(spm,[status(thm)],[251,2345,theory(equality)])).
% cnf(10531,plain,(coantidomain(multiplication(X1,coantidomain(X1)))=coantidomain(multiplication(coantidomain(coantidomain(X1)),coantidomain(X1)))),inference(spm,[status(thm)],[65,1876,theory(equality)])).
% cnf(10630,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)],[449,10531,theory(equality)])).
% cnf(10718,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)],[10630,39,theory(equality)]),467,theory(equality)]),10531,theory(equality)]),449,theory(equality)])).
% cnf(10719,plain,(multiplication(X1,coantidomain(X1))=multiplication(coantidomain(coantidomain(X1)),coantidomain(X1))),inference(rw,[status(thm)],[inference(rw,[status(thm)],[10718,39,theory(equality)]),467,theory(equality)])).
% cnf(10820,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)],[51,10719,theory(equality)])).
% cnf(10848,plain,(coantidomain(multiplication(X1,coantidomain(X1)))=antidomain(multiplication(coantidomain(coantidomain(X1)),antidomain(antidomain(coantidomain(X1)))))),inference(rw,[status(thm)],[inference(rw,[status(thm)],[10820,434,theory(equality)]),1549,theory(equality)])).
% cnf(13270,plain,(leq(multiplication(antidomain(X1),X2),addition(X2,X3))),inference(spm,[status(thm)],[5761,31,theory(equality)])).
% cnf(30830,plain,(addition(multiplication(X1,coantidomain(addition(X1,X2))),zero)=zero),inference(spm,[status(thm)],[137,969,theory(equality)])).
% cnf(31074,plain,(multiplication(X1,coantidomain(addition(X1,X2)))=zero),inference(rw,[status(thm)],[30830,35,theory(equality)])).
% cnf(47626,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)],[1295,2833,theory(equality)])).
% cnf(47973,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)],[47626,1219,theory(equality)]),225,theory(equality)])).
% cnf(47974,plain,(multiplication(antidomain(X1),multiplication(coantidomain(X2),X1))=multiplication(X1,coantidomain(X1))),inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[47973,39,theory(equality)]),99,theory(equality)]),225,theory(equality)])).
% cnf(62151,plain,(coantidomain(multiplication(X1,coantidomain(X1)))=antidomain(multiplication(X1,antidomain(antidomain(multiplication(coantidomain(X1),X2)))))),inference(rw,[status(thm)],[1376,1549,theory(equality)])).
% cnf(62304,plain,(antidomain(multiplication(X1,antidomain(antidomain(coantidomain(X1)))))=coantidomain(multiplication(X1,coantidomain(X1)))),inference(spm,[status(thm)],[62151,467,theory(equality)])).
% cnf(64900,plain,(coantidomain(antidomain(X1))=multiplication(antidomain(antidomain(X1)),coantidomain(antidomain(X1)))),inference(spm,[status(thm)],[225,1437,theory(equality)])).
% cnf(64967,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)],[1437,47974,theory(equality)])).
% cnf(65026,plain,(addition(multiplication(X1,coantidomain(X1)),multiplication(antidomain(antidomain(X1)),multiplication(coantidomain(X2),X1)))=multiplication(coantidomain(X2),X1)),inference(spm,[status(thm)],[1437,47974,theory(equality)])).
% cnf(65028,plain,(addition(multiplication(X1,coantidomain(X1)),multiplication(antidomain(antidomain(X1)),multiplication(X1,X2)))=multiplication(X1,X2)),inference(spm,[status(thm)],[1437,1289,theory(equality)])).
% cnf(65029,plain,(addition(multiplication(X1,coantidomain(X1)),multiplication(antidomain(antidomain(X1)),X1))=X1),inference(spm,[status(thm)],[1437,1219,theory(equality)])).
% cnf(65149,plain,(multiplication(antidomain(X1),multiplication(coantidomain(X2),antidomain(X1)))=multiplication(coantidomain(X2),antidomain(X1))),inference(rw,[status(thm)],[64967,102,theory(equality)])).
% cnf(65204,plain,(multiplication(antidomain(antidomain(X1)),multiplication(coantidomain(X2),X1))=multiplication(coantidomain(X2),X1)),inference(rw,[status(thm)],[65026,225,theory(equality)])).
% cnf(65206,plain,(multiplication(antidomain(antidomain(X1)),multiplication(X1,X2))=multiplication(X1,X2)),inference(rw,[status(thm)],[65028,225,theory(equality)])).
% cnf(65207,plain,(multiplication(antidomain(antidomain(X1)),X1)=X1),inference(rw,[status(thm)],[65029,225,theory(equality)])).
% cnf(65292,negated_conjecture,(multiplication(antidomain(esk3_0),multiplication(esk1_0,esk2_0))=zero),inference(spm,[status(thm)],[169,65207,theory(equality)])).
% cnf(65303,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)],[65207,10848,theory(equality)])).
% cnf(65312,plain,(multiplication(antidomain(coantidomain(multiplication(X1,coantidomain(X1)))),multiplication(X1,antidomain(antidomain(coantidomain(X1)))))=multiplication(X1,antidomain(antidomain(coantidomain(X1))))),inference(spm,[status(thm)],[65207,62304,theory(equality)])).
% cnf(65379,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)],[65303,449,theory(equality)]),39,theory(equality)]),1070,theory(equality)]),1078,theory(equality)]),99,theory(equality)])).
% cnf(65387,plain,(multiplication(X1,coantidomain(X1))=multiplication(X1,antidomain(antidomain(coantidomain(X1))))),inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[65312,449,theory(equality)]),39,theory(equality)]),1070,theory(equality)])).
% cnf(65402,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)],[51,65292,theory(equality)])).
% cnf(65436,negated_conjecture,(coantidomain(zero)=antidomain(multiplication(antidomain(esk3_0),antidomain(antidomain(multiplication(esk1_0,esk2_0)))))),inference(rw,[status(thm)],[inference(rw,[status(thm)],[65402,428,theory(equality)]),1461,theory(equality)])).
% cnf(66670,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)],[1438,1219,theory(equality)])).
% cnf(66677,plain,(addition(multiplication(X1,antidomain(coantidomain(X1))),multiplication(X1,coantidomain(X1)))=X1),inference(spm,[status(thm)],[1438,65387,theory(equality)])).
% cnf(66817,plain,(antidomain(X1)=antidomain(antidomain(antidomain(X1)))),inference(rw,[status(thm)],[inference(rw,[status(thm)],[66670,65207,theory(equality)]),102,theory(equality)])).
% cnf(66823,plain,(multiplication(X1,antidomain(coantidomain(X1)))=X1),inference(rw,[status(thm)],[66677,102,theory(equality)])).
% cnf(67053,negated_conjecture,(addition(antidomain(antidomain(esk3_0)),antidomain(antidomain(multiplication(esk1_0,antidomain(antidomain(esk2_0))))))!=antidomain(antidomain(esk3_0))),inference(rw,[status(thm)],[210,66817,theory(equality)])).
% cnf(67712,plain,(addition(antidomain(antidomain(X1)),coantidomain(antidomain(X1)))=antidomain(antidomain(X1))),inference(spm,[status(thm)],[2904,64900,theory(equality)])).
% cnf(69479,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)],[65207,65436,theory(equality)])).
% cnf(69622,negated_conjecture,(zero=multiplication(antidomain(esk3_0),antidomain(antidomain(multiplication(esk1_0,esk2_0))))),inference(rw,[status(thm)],[inference(rw,[status(thm)],[69479,436,theory(equality)]),47,theory(equality)])).
% cnf(69739,negated_conjecture,(addition(zero,multiplication(antidomain(esk3_0),antidomain(antidomain(antidomain(multiplication(esk1_0,esk2_0))))))=antidomain(esk3_0)),inference(spm,[status(thm)],[1438,69622,theory(equality)])).
% cnf(69810,negated_conjecture,(multiplication(antidomain(esk3_0),antidomain(multiplication(esk1_0,esk2_0)))=antidomain(esk3_0)),inference(rw,[status(thm)],[inference(rw,[status(thm)],[69739,66817,theory(equality)]),196,theory(equality)])).
% cnf(69892,negated_conjecture,(leq(antidomain(esk3_0),addition(antidomain(multiplication(esk1_0,esk2_0)),X1))),inference(spm,[status(thm)],[13270,69810,theory(equality)])).
% cnf(71212,negated_conjecture,(leq(antidomain(esk3_0),antidomain(multiplication(esk1_0,antidomain(antidomain(esk2_0)))))),inference(spm,[status(thm)],[69892,51,theory(equality)])).
% cnf(71257,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)],[69,71212,theory(equality)])).
% cnf(73903,plain,(addition(coantidomain(antidomain(X1)),antidomain(antidomain(X1)))=antidomain(antidomain(X1))),inference(rw,[status(thm)],[67712,31,theory(equality)])).
% cnf(73913,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)],[1295,73903,theory(equality)])).
% cnf(74072,plain,(multiplication(antidomain(antidomain(X1)),coantidomain(antidomain(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)],[73913,66817,theory(equality)]),1219,theory(equality)]),225,theory(equality)])).
% cnf(74073,plain,(multiplication(antidomain(antidomain(X1)),coantidomain(antidomain(antidomain(X1))))=multiplication(coantidomain(antidomain(X1)),coantidomain(antidomain(antidomain(X1))))),inference(rw,[status(thm)],[74072,102,theory(equality)])).
% cnf(77075,plain,(multiplication(antidomain(antidomain(antidomain(X1))),multiplication(X1,X2))=multiplication(antidomain(antidomain(X1)),coantidomain(antidomain(antidomain(X1))))),inference(spm,[status(thm)],[1289,65206,theory(equality)])).
% cnf(77126,plain,(multiplication(coantidomain(X1),antidomain(coantidomain(X1)))=multiplication(antidomain(coantidomain(X1)),coantidomain(antidomain(coantidomain(X1))))),inference(spm,[status(thm)],[47974,65206,theory(equality)])).
% cnf(77222,plain,(multiplication(X1,coantidomain(X1))=multiplication(antidomain(antidomain(X1)),coantidomain(antidomain(antidomain(X1))))),inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[77075,66817,theory(equality)]),1215,theory(equality)]),1219,theory(equality)])).
% cnf(77489,plain,(addition(multiplication(X1,coantidomain(X1)),multiplication(coantidomain(coantidomain(X1)),antidomain(antidomain(antidomain(coantidomain(X1))))))=coantidomain(coantidomain(X1))),inference(spm,[status(thm)],[1438,65379,theory(equality)])).
% cnf(77619,plain,(multiplication(coantidomain(coantidomain(X1)),antidomain(coantidomain(X1)))=coantidomain(coantidomain(X1))),inference(rw,[status(thm)],[inference(rw,[status(thm)],[77489,66817,theory(equality)]),225,theory(equality)])).
% cnf(88066,plain,(multiplication(coantidomain(antidomain(X1)),coantidomain(antidomain(antidomain(X1))))=multiplication(X1,coantidomain(X1))),inference(rw,[status(thm)],[77222,74073,theory(equality)])).
% cnf(88936,plain,(multiplication(antidomain(antidomain(antidomain(coantidomain(X1)))),multiplication(coantidomain(X1),antidomain(coantidomain(X1))))=multiplication(coantidomain(X1),antidomain(coantidomain(X1)))),inference(spm,[status(thm)],[65206,77126,theory(equality)])).
% cnf(89079,plain,(multiplication(X1,coantidomain(X1))=multiplication(coantidomain(X1),antidomain(coantidomain(X1)))),inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[88936,66817,theory(equality)]),1289,theory(equality)]),1078,theory(equality)])).
% cnf(95530,plain,(multiplication(coantidomain(antidomain(X1)),antidomain(X1))=multiplication(antidomain(X1),coantidomain(antidomain(X1)))),inference(spm,[status(thm)],[1070,65149,theory(equality)])).
% cnf(95839,plain,(addition(multiplication(antidomain(X1),coantidomain(antidomain(X1))),multiplication(coantidomain(antidomain(X1)),antidomain(antidomain(X1))))=coantidomain(antidomain(X1))),inference(spm,[status(thm)],[1438,95530,theory(equality)])).
% cnf(95983,plain,(multiplication(coantidomain(antidomain(X1)),antidomain(antidomain(X1)))=coantidomain(antidomain(X1))),inference(rw,[status(thm)],[95839,225,theory(equality)])).
% cnf(99992,plain,(coantidomain(multiplication(X1,coantidomain(X1)))=coantidomain(multiplication(coantidomain(coantidomain(antidomain(X1))),X1))),inference(rw,[status(thm)],[1601,1876,theory(equality)])).
% cnf(100005,plain,(antidomain(coantidomain(multiplication(multiplication(coantidomain(coantidomain(antidomain(X1))),X1),coantidomain(multiplication(X1,coantidomain(X1))))))=multiplication(multiplication(coantidomain(coantidomain(antidomain(X1))),X1),coantidomain(multiplication(X1,coantidomain(X1))))),inference(spm,[status(thm)],[449,99992,theory(equality)])).
% cnf(100250,plain,(multiplication(X1,coantidomain(X1))=multiplication(multiplication(coantidomain(coantidomain(antidomain(X1))),X1),coantidomain(multiplication(X1,coantidomain(X1))))),inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[100005,39,theory(equality)]),467,theory(equality)]),99992,theory(equality)]),449,theory(equality)])).
% cnf(100251,plain,(multiplication(X1,coantidomain(X1))=multiplication(coantidomain(coantidomain(antidomain(X1))),X1)),inference(rw,[status(thm)],[inference(rw,[status(thm)],[100250,39,theory(equality)]),467,theory(equality)])).
% cnf(101257,plain,(multiplication(coantidomain(coantidomain(antidomain(X1))),antidomain(antidomain(X1)))=multiplication(antidomain(antidomain(X1)),coantidomain(antidomain(antidomain(X1))))),inference(spm,[status(thm)],[100251,66817,theory(equality)])).
% cnf(101444,plain,(multiplication(coantidomain(coantidomain(antidomain(X1))),antidomain(antidomain(X1)))=multiplication(X1,coantidomain(X1))),inference(rw,[status(thm)],[inference(rw,[status(thm)],[101257,74073,theory(equality)]),88066,theory(equality)])).
% cnf(102736,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)],[1602,1219,theory(equality)])).
% cnf(103110,plain,(coantidomain(multiplication(X2,coantidomain(X2)))=coantidomain(multiplication(coantidomain(coantidomain(multiplication(X1,antidomain(X2)))),X2))),inference(rw,[status(thm)],[inference(rw,[status(thm)],[102736,99,theory(equality)]),1876,theory(equality)])).
% cnf(109357,plain,(addition(multiplication(coantidomain(X1),antidomain(coantidomain(X1))),coantidomain(coantidomain(X1)))=antidomain(coantidomain(X1))),inference(spm,[status(thm)],[1731,77619,theory(equality)])).
% cnf(109359,plain,(addition(multiplication(coantidomain(antidomain(X1)),antidomain(antidomain(X1))),multiplication(X1,coantidomain(X1)))=antidomain(antidomain(X1))),inference(spm,[status(thm)],[1731,101444,theory(equality)])).
% cnf(109574,plain,(coantidomain(coantidomain(X1))=antidomain(coantidomain(X1))),inference(rw,[status(thm)],[inference(rw,[status(thm)],[109357,89079,theory(equality)]),225,theory(equality)])).
% cnf(109576,plain,(coantidomain(antidomain(X1))=antidomain(antidomain(X1))),inference(rw,[status(thm)],[inference(rw,[status(thm)],[109359,95983,theory(equality)]),102,theory(equality)])).
% cnf(109838,plain,(multiplication(X1,coantidomain(coantidomain(X1)))=X1),inference(rw,[status(thm)],[66823,109574,theory(equality)])).
% cnf(110258,plain,(multiplication(coantidomain(antidomain(X1)),multiplication(coantidomain(X2),X1))=multiplication(coantidomain(X2),X1)),inference(rw,[status(thm)],[65204,109576,theory(equality)])).
% cnf(110310,negated_conjecture,(addition(antidomain(esk3_0),antidomain(multiplication(esk1_0,coantidomain(antidomain(esk2_0)))))=antidomain(multiplication(esk1_0,antidomain(antidomain(esk2_0))))),inference(rw,[status(thm)],[71257,109576,theory(equality)])).
% cnf(110311,negated_conjecture,(addition(antidomain(esk3_0),antidomain(multiplication(esk1_0,coantidomain(antidomain(esk2_0)))))=antidomain(multiplication(esk1_0,coantidomain(antidomain(esk2_0))))),inference(rw,[status(thm)],[110310,109576,theory(equality)])).
% cnf(110342,negated_conjecture,(addition(coantidomain(antidomain(esk3_0)),coantidomain(antidomain(multiplication(esk1_0,coantidomain(antidomain(esk2_0))))))!=antidomain(antidomain(esk3_0))),inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[67053,109576,theory(equality)]),109576,theory(equality)]),109576,theory(equality)])).
% cnf(110343,negated_conjecture,(addition(coantidomain(antidomain(esk3_0)),coantidomain(antidomain(multiplication(esk1_0,coantidomain(antidomain(esk2_0))))))!=coantidomain(antidomain(esk3_0))),inference(rw,[status(thm)],[110342,109576,theory(equality)])).
% cnf(111717,plain,(addition(zero,multiplication(X1,coantidomain(coantidomain(addition(X1,X2)))))=X1),inference(spm,[status(thm)],[1732,31074,theory(equality)])).
% cnf(111842,plain,(multiplication(X1,coantidomain(coantidomain(addition(X1,X2))))=X1),inference(rw,[status(thm)],[111717,196,theory(equality)])).
% cnf(111868,plain,(addition(coantidomain(X1),multiplication(coantidomain(coantidomain(X1)),coantidomain(coantidomain(coantidomain(X1)))))=coantidomain(coantidomain(coantidomain(X1)))),inference(spm,[status(thm)],[1731,109838,theory(equality)])).
% cnf(111986,plain,(coantidomain(X1)=coantidomain(coantidomain(coantidomain(X1)))),inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[111868,1078,theory(equality)]),1078,theory(equality)]),102,theory(equality)])).
% cnf(121697,plain,(multiplication(multiplication(X1,coantidomain(X2)),coantidomain(coantidomain(X1)))=multiplication(X1,coantidomain(X2))),inference(spm,[status(thm)],[111842,1732,theory(equality)])).
% cnf(121870,plain,(multiplication(X1,multiplication(coantidomain(X2),coantidomain(coantidomain(X1))))=multiplication(X1,coantidomain(X2))),inference(rw,[status(thm)],[121697,39,theory(equality)])).
% cnf(134792,plain,(multiplication(coantidomain(coantidomain(coantidomain(X1))),multiplication(coantidomain(X2),coantidomain(X1)))=multiplication(coantidomain(X2),coantidomain(X1))),inference(spm,[status(thm)],[110258,109574,theory(equality)])).
% cnf(134966,plain,(multiplication(coantidomain(X1),multiplication(coantidomain(X2),coantidomain(X1)))=multiplication(coantidomain(X2),coantidomain(X1))),inference(rw,[status(thm)],[134792,111986,theory(equality)])).
% cnf(135872,plain,(multiplication(coantidomain(X1),multiplication(coantidomain(X2),coantidomain(X1)))=multiplication(coantidomain(X1),coantidomain(X2))),inference(spm,[status(thm)],[121870,111986,theory(equality)])).
% cnf(140532,plain,(multiplication(coantidomain(X2),coantidomain(X1))=multiplication(coantidomain(X1),coantidomain(X2))),inference(rw,[status(thm)],[135872,134966,theory(equality)])).
% cnf(179330,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)],[457,103110,theory(equality)])).
% cnf(179611,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)],[179330,39,theory(equality)]),467,theory(equality)]),103110,theory(equality)]),457,theory(equality)])).
% cnf(179612,plain,(multiplication(X2,coantidomain(X2))=multiplication(coantidomain(coantidomain(multiplication(X1,antidomain(X2)))),X2)),inference(rw,[status(thm)],[inference(rw,[status(thm)],[179611,39,theory(equality)]),467,theory(equality)])).
% cnf(180088,plain,(addition(multiplication(X2,coantidomain(X2)),multiplication(coantidomain(coantidomain(coantidomain(multiplication(X1,antidomain(X2))))),X2))=X2),inference(spm,[status(thm)],[1731,179612,theory(equality)])).
% cnf(180305,plain,(multiplication(coantidomain(multiplication(X1,antidomain(X2))),X2)=X2),inference(rw,[status(thm)],[inference(rw,[status(thm)],[180088,111986,theory(equality)]),225,theory(equality)])).
% cnf(180476,plain,(multiplication(X1,coantidomain(coantidomain(X1)))=multiplication(X1,coantidomain(multiplication(X2,antidomain(coantidomain(coantidomain(X1))))))),inference(spm,[status(thm)],[121870,180305,theory(equality)])).
% cnf(180648,plain,(X1=multiplication(X1,coantidomain(multiplication(X2,antidomain(coantidomain(coantidomain(X1))))))),inference(rw,[status(thm)],[180476,109838,theory(equality)])).
% cnf(180649,plain,(X1=multiplication(X1,coantidomain(multiplication(X2,coantidomain(X1))))),inference(rw,[status(thm)],[inference(rw,[status(thm)],[180648,109574,theory(equality)]),111986,theory(equality)])).
% cnf(181769,plain,(multiplication(coantidomain(addition(X1,X2)),coantidomain(X1))=coantidomain(addition(X1,X2))),inference(spm,[status(thm)],[180649,111842,theory(equality)])).
% cnf(182089,plain,(multiplication(coantidomain(X1),coantidomain(addition(X1,X2)))=coantidomain(addition(X1,X2))),inference(rw,[status(thm)],[181769,140532,theory(equality)])).
% cnf(182126,plain,(addition(coantidomain(X1),coantidomain(addition(X1,X2)))=coantidomain(X1)),inference(spm,[status(thm)],[2904,182089,theory(equality)])).
% cnf(186171,negated_conjecture,(addition(coantidomain(antidomain(esk3_0)),coantidomain(antidomain(multiplication(esk1_0,coantidomain(antidomain(esk2_0))))))=coantidomain(antidomain(esk3_0))),inference(spm,[status(thm)],[182126,110311,theory(equality)])).
% cnf(186439,negated_conjecture,($false),inference(sr,[status(thm)],[186171,110343,theory(equality)])).
% cnf(186440,negated_conjecture,($false),186439,['proof']).
% # SZS output end CNFRefutation
% # Processed clauses : 6885
% # ...of these trivial : 968
% # ...subsumed : 5074
% # ...remaining for further processing: 843
% # Other redundant clauses eliminated : 0
% # Clauses deleted for lack of memory : 0
% # Backward-subsumed : 1
% # Backward-rewritten : 342
% # Generated clauses : 94146
% # ...of the previous two non-trivial : 49020
% # Contextual simplify-reflections : 0
% # Paramodulations : 94138
% # Factorizations : 0
% # Equation resolutions : 8
% # Current number of processed clauses: 500
% # Positive orientable unit clauses: 349
% # Positive unorientable unit clauses: 18
% # Negative unit clauses : 1
% # Non-unit-clauses : 132
% # Current number of unprocessed clauses: 21607
% # ...number of literals in the above : 33565
% # Clause-clause subsumption calls (NU) : 18830
% # Rec. Clause-clause subsumption calls : 18830
% # Unit Clause-clause subsumption calls : 471
% # Rewrite failures with RHS unbound : 228
% # Indexed BW rewrite attempts : 1370
% # Indexed BW rewrite successes : 359
% # Backwards rewriting index: 404 leaves, 1.84+/-1.625 terms/leaf
% # Paramod-from index: 251 leaves, 1.49+/-0.839 terms/leaf
% # Paramod-into index: 351 leaves, 1.84+/-1.655 terms/leaf
% # -------------------------------------------------
% # User time : 2.312 s
% # System time : 0.079 s
% # Total time : 2.391 s
% # Maximum resident set size: 0 pages
% PrfWatch: 4.72 CPU 4.85 WC
% FINAL PrfWatch: 4.72 CPU 4.85 WC
% SZS output end Solution for /tmp/SystemOnTPTP17826/KLE100+1.tptp
%
%------------------------------------------------------------------------------