TSTP Solution File: KLE017+1 by SRASS---0.1
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- Process Solution
%------------------------------------------------------------------------------
% File : SRASS---0.1
% Problem : KLE017+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 : art09.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 07:33:27 EST 2010
% Result : Theorem 6.09s
% Output : Solution 6.09s
% 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/SystemOnTPTP29602/KLE017+1.tptp
% Adding relevance values
% Extracting the conjecture
% Sorting axioms by relevance
% Looking for THM ...
% found
% SZS status THM for /tmp/SystemOnTPTP29602/KLE017+1.tptp
% SZS output start Solution for /tmp/SystemOnTPTP29602/KLE017+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 29698
% 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: 3.91 CPU 4.01 WC
% # SZS output start CNFRefutation.
% fof(1, axiom,![X1]:![X2]:![X3]:multiplication(X1,multiplication(X2,X3))=multiplication(multiplication(X1,X2),X3),file('/tmp/SRASS.s.p', multiplicative_associativity)).
% fof(2, axiom,![X1]:![X2]:(leq(X1,X2)<=>addition(X1,X2)=X2),file('/tmp/SRASS.s.p', order)).
% fof(3, axiom,![X1]:![X2]:addition(X1,X2)=addition(X2,X1),file('/tmp/SRASS.s.p', additive_commutativity)).
% fof(4, axiom,![X3]:![X2]:![X1]:addition(X1,addition(X2,X3))=addition(addition(X1,X2),X3),file('/tmp/SRASS.s.p', additive_associativity)).
% fof(5, axiom,![X1]:addition(X1,X1)=X1,file('/tmp/SRASS.s.p', additive_idempotence)).
% fof(6, axiom,![X4]:(test(X4)<=>?[X5]:complement(X5,X4)),file('/tmp/SRASS.s.p', test_1)).
% fof(7, axiom,![X1]:![X2]:![X3]:multiplication(X1,addition(X2,X3))=addition(multiplication(X1,X2),multiplication(X1,X3)),file('/tmp/SRASS.s.p', right_distributivity)).
% fof(8, axiom,![X1]:![X2]:![X3]:multiplication(addition(X1,X2),X3)=addition(multiplication(X1,X3),multiplication(X2,X3)),file('/tmp/SRASS.s.p', left_distributivity)).
% fof(10, axiom,![X1]:multiplication(zero,X1)=zero,file('/tmp/SRASS.s.p', left_annihilation)).
% fof(11, axiom,![X1]:multiplication(X1,one)=X1,file('/tmp/SRASS.s.p', multiplicative_right_identity)).
% fof(12, axiom,![X1]:multiplication(one,X1)=X1,file('/tmp/SRASS.s.p', multiplicative_left_identity)).
% fof(14, axiom,![X4]:![X5]:(test(X4)=>(c(X4)=X5<=>complement(X4,X5))),file('/tmp/SRASS.s.p', test_3)).
% fof(15, axiom,![X1]:addition(X1,zero)=X1,file('/tmp/SRASS.s.p', additive_identity)).
% fof(16, axiom,![X4]:![X5]:(complement(X5,X4)<=>((multiplication(X4,X5)=zero&multiplication(X5,X4)=zero)&addition(X4,X5)=one)),file('/tmp/SRASS.s.p', test_2)).
% fof(17, conjecture,![X4]:![X5]:![X6]:(((test(X4)&test(X5))&test(X6))=>(leq(X6,multiplication(X4,X5))<=>(leq(X6,X4)&leq(X6,X5)))),file('/tmp/SRASS.s.p', goals)).
% fof(18, negated_conjecture,~(![X4]:![X5]:![X6]:(((test(X4)&test(X5))&test(X6))=>(leq(X6,multiplication(X4,X5))<=>(leq(X6,X4)&leq(X6,X5))))),inference(assume_negation,[status(cth)],[17])).
% fof(20, plain,![X4]:![X5]:![X6]:multiplication(X4,multiplication(X5,X6))=multiplication(multiplication(X4,X5),X6),inference(variable_rename,[status(thm)],[1])).
% cnf(21,plain,(multiplication(X1,multiplication(X2,X3))=multiplication(multiplication(X1,X2),X3)),inference(split_conjunct,[status(thm)],[20])).
% fof(22, plain,![X1]:![X2]:((~(leq(X1,X2))|addition(X1,X2)=X2)&(~(addition(X1,X2)=X2)|leq(X1,X2))),inference(fof_nnf,[status(thm)],[2])).
% fof(23, plain,![X3]:![X4]:((~(leq(X3,X4))|addition(X3,X4)=X4)&(~(addition(X3,X4)=X4)|leq(X3,X4))),inference(variable_rename,[status(thm)],[22])).
% cnf(24,plain,(leq(X1,X2)|addition(X1,X2)!=X2),inference(split_conjunct,[status(thm)],[23])).
% cnf(25,plain,(addition(X1,X2)=X2|~leq(X1,X2)),inference(split_conjunct,[status(thm)],[23])).
% fof(26, plain,![X3]:![X4]:addition(X3,X4)=addition(X4,X3),inference(variable_rename,[status(thm)],[3])).
% cnf(27,plain,(addition(X1,X2)=addition(X2,X1)),inference(split_conjunct,[status(thm)],[26])).
% fof(28, plain,![X4]:![X5]:![X6]:addition(X6,addition(X5,X4))=addition(addition(X6,X5),X4),inference(variable_rename,[status(thm)],[4])).
% cnf(29,plain,(addition(X1,addition(X2,X3))=addition(addition(X1,X2),X3)),inference(split_conjunct,[status(thm)],[28])).
% fof(30, plain,![X2]:addition(X2,X2)=X2,inference(variable_rename,[status(thm)],[5])).
% cnf(31,plain,(addition(X1,X1)=X1),inference(split_conjunct,[status(thm)],[30])).
% fof(32, plain,![X4]:((~(test(X4))|?[X5]:complement(X5,X4))&(![X5]:~(complement(X5,X4))|test(X4))),inference(fof_nnf,[status(thm)],[6])).
% fof(33, plain,![X6]:((~(test(X6))|?[X7]:complement(X7,X6))&(![X8]:~(complement(X8,X6))|test(X6))),inference(variable_rename,[status(thm)],[32])).
% fof(34, plain,![X6]:((~(test(X6))|complement(esk1_1(X6),X6))&(![X8]:~(complement(X8,X6))|test(X6))),inference(skolemize,[status(esa)],[33])).
% fof(35, plain,![X6]:![X8]:((~(complement(X8,X6))|test(X6))&(~(test(X6))|complement(esk1_1(X6),X6))),inference(shift_quantors,[status(thm)],[34])).
% cnf(36,plain,(complement(esk1_1(X1),X1)|~test(X1)),inference(split_conjunct,[status(thm)],[35])).
% cnf(37,plain,(test(X1)|~complement(X2,X1)),inference(split_conjunct,[status(thm)],[35])).
% fof(38, plain,![X4]:![X5]:![X6]:multiplication(X4,addition(X5,X6))=addition(multiplication(X4,X5),multiplication(X4,X6)),inference(variable_rename,[status(thm)],[7])).
% cnf(39,plain,(multiplication(X1,addition(X2,X3))=addition(multiplication(X1,X2),multiplication(X1,X3))),inference(split_conjunct,[status(thm)],[38])).
% fof(40, plain,![X4]:![X5]:![X6]:multiplication(addition(X4,X5),X6)=addition(multiplication(X4,X6),multiplication(X5,X6)),inference(variable_rename,[status(thm)],[8])).
% cnf(41,plain,(multiplication(addition(X1,X2),X3)=addition(multiplication(X1,X3),multiplication(X2,X3))),inference(split_conjunct,[status(thm)],[40])).
% fof(44, plain,![X2]:multiplication(zero,X2)=zero,inference(variable_rename,[status(thm)],[10])).
% cnf(45,plain,(multiplication(zero,X1)=zero),inference(split_conjunct,[status(thm)],[44])).
% fof(46, plain,![X2]:multiplication(X2,one)=X2,inference(variable_rename,[status(thm)],[11])).
% cnf(47,plain,(multiplication(X1,one)=X1),inference(split_conjunct,[status(thm)],[46])).
% fof(48, plain,![X2]:multiplication(one,X2)=X2,inference(variable_rename,[status(thm)],[12])).
% cnf(49,plain,(multiplication(one,X1)=X1),inference(split_conjunct,[status(thm)],[48])).
% fof(53, plain,![X4]:![X5]:(~(test(X4))|((~(c(X4)=X5)|complement(X4,X5))&(~(complement(X4,X5))|c(X4)=X5))),inference(fof_nnf,[status(thm)],[14])).
% fof(54, plain,![X6]:![X7]:(~(test(X6))|((~(c(X6)=X7)|complement(X6,X7))&(~(complement(X6,X7))|c(X6)=X7))),inference(variable_rename,[status(thm)],[53])).
% fof(55, plain,![X6]:![X7]:(((~(c(X6)=X7)|complement(X6,X7))|~(test(X6)))&((~(complement(X6,X7))|c(X6)=X7)|~(test(X6)))),inference(distribute,[status(thm)],[54])).
% cnf(56,plain,(c(X1)=X2|~test(X1)|~complement(X1,X2)),inference(split_conjunct,[status(thm)],[55])).
% fof(58, plain,![X2]:addition(X2,zero)=X2,inference(variable_rename,[status(thm)],[15])).
% cnf(59,plain,(addition(X1,zero)=X1),inference(split_conjunct,[status(thm)],[58])).
% fof(60, plain,![X4]:![X5]:((~(complement(X5,X4))|((multiplication(X4,X5)=zero&multiplication(X5,X4)=zero)&addition(X4,X5)=one))&(((~(multiplication(X4,X5)=zero)|~(multiplication(X5,X4)=zero))|~(addition(X4,X5)=one))|complement(X5,X4))),inference(fof_nnf,[status(thm)],[16])).
% fof(61, plain,![X6]:![X7]:((~(complement(X7,X6))|((multiplication(X6,X7)=zero&multiplication(X7,X6)=zero)&addition(X6,X7)=one))&(((~(multiplication(X6,X7)=zero)|~(multiplication(X7,X6)=zero))|~(addition(X6,X7)=one))|complement(X7,X6))),inference(variable_rename,[status(thm)],[60])).
% fof(62, plain,![X6]:![X7]:((((multiplication(X6,X7)=zero|~(complement(X7,X6)))&(multiplication(X7,X6)=zero|~(complement(X7,X6))))&(addition(X6,X7)=one|~(complement(X7,X6))))&(((~(multiplication(X6,X7)=zero)|~(multiplication(X7,X6)=zero))|~(addition(X6,X7)=one))|complement(X7,X6))),inference(distribute,[status(thm)],[61])).
% cnf(63,plain,(complement(X1,X2)|addition(X2,X1)!=one|multiplication(X1,X2)!=zero|multiplication(X2,X1)!=zero),inference(split_conjunct,[status(thm)],[62])).
% cnf(64,plain,(addition(X2,X1)=one|~complement(X1,X2)),inference(split_conjunct,[status(thm)],[62])).
% cnf(65,plain,(multiplication(X1,X2)=zero|~complement(X1,X2)),inference(split_conjunct,[status(thm)],[62])).
% cnf(66,plain,(multiplication(X2,X1)=zero|~complement(X1,X2)),inference(split_conjunct,[status(thm)],[62])).
% fof(67, negated_conjecture,?[X4]:?[X5]:?[X6]:(((test(X4)&test(X5))&test(X6))&((~(leq(X6,multiplication(X4,X5)))|(~(leq(X6,X4))|~(leq(X6,X5))))&(leq(X6,multiplication(X4,X5))|(leq(X6,X4)&leq(X6,X5))))),inference(fof_nnf,[status(thm)],[18])).
% fof(68, negated_conjecture,?[X7]:?[X8]:?[X9]:(((test(X7)&test(X8))&test(X9))&((~(leq(X9,multiplication(X7,X8)))|(~(leq(X9,X7))|~(leq(X9,X8))))&(leq(X9,multiplication(X7,X8))|(leq(X9,X7)&leq(X9,X8))))),inference(variable_rename,[status(thm)],[67])).
% fof(69, negated_conjecture,(((test(esk2_0)&test(esk3_0))&test(esk4_0))&((~(leq(esk4_0,multiplication(esk2_0,esk3_0)))|(~(leq(esk4_0,esk2_0))|~(leq(esk4_0,esk3_0))))&(leq(esk4_0,multiplication(esk2_0,esk3_0))|(leq(esk4_0,esk2_0)&leq(esk4_0,esk3_0))))),inference(skolemize,[status(esa)],[68])).
% fof(70, negated_conjecture,(((test(esk2_0)&test(esk3_0))&test(esk4_0))&((~(leq(esk4_0,multiplication(esk2_0,esk3_0)))|(~(leq(esk4_0,esk2_0))|~(leq(esk4_0,esk3_0))))&((leq(esk4_0,esk2_0)|leq(esk4_0,multiplication(esk2_0,esk3_0)))&(leq(esk4_0,esk3_0)|leq(esk4_0,multiplication(esk2_0,esk3_0)))))),inference(distribute,[status(thm)],[69])).
% cnf(71,negated_conjecture,(leq(esk4_0,multiplication(esk2_0,esk3_0))|leq(esk4_0,esk3_0)),inference(split_conjunct,[status(thm)],[70])).
% cnf(72,negated_conjecture,(leq(esk4_0,multiplication(esk2_0,esk3_0))|leq(esk4_0,esk2_0)),inference(split_conjunct,[status(thm)],[70])).
% cnf(73,negated_conjecture,(~leq(esk4_0,esk3_0)|~leq(esk4_0,esk2_0)|~leq(esk4_0,multiplication(esk2_0,esk3_0))),inference(split_conjunct,[status(thm)],[70])).
% cnf(74,negated_conjecture,(test(esk4_0)),inference(split_conjunct,[status(thm)],[70])).
% cnf(75,negated_conjecture,(test(esk3_0)),inference(split_conjunct,[status(thm)],[70])).
% cnf(76,negated_conjecture,(test(esk2_0)),inference(split_conjunct,[status(thm)],[70])).
% cnf(82,plain,(multiplication(X1,esk1_1(X1))=zero|~test(X1)),inference(spm,[status(thm)],[66,36,theory(equality)])).
% cnf(83,plain,(addition(X1,esk1_1(X1))=one|~test(X1)),inference(spm,[status(thm)],[64,36,theory(equality)])).
% cnf(84,plain,(multiplication(esk1_1(X1),X1)=zero|~test(X1)),inference(spm,[status(thm)],[65,36,theory(equality)])).
% cnf(86,negated_conjecture,(addition(esk4_0,multiplication(esk2_0,esk3_0))=multiplication(esk2_0,esk3_0)|leq(esk4_0,esk2_0)),inference(spm,[status(thm)],[25,72,theory(equality)])).
% cnf(87,negated_conjecture,(addition(esk4_0,multiplication(esk2_0,esk3_0))=multiplication(esk2_0,esk3_0)|leq(esk4_0,esk3_0)),inference(spm,[status(thm)],[25,71,theory(equality)])).
% cnf(110,plain,(addition(X1,X2)=addition(X1,addition(X1,X2))),inference(spm,[status(thm)],[29,31,theory(equality)])).
% cnf(115,plain,(addition(zero,X1)=X1),inference(spm,[status(thm)],[59,27,theory(equality)])).
% cnf(117,plain,(leq(X1,X2)|addition(X2,X1)!=X2),inference(spm,[status(thm)],[24,27,theory(equality)])).
% cnf(150,plain,(addition(multiplication(X1,X2),X1)=multiplication(X1,addition(X2,one))),inference(spm,[status(thm)],[39,47,theory(equality)])).
% cnf(180,plain,(addition(multiplication(X1,X2),X2)=multiplication(addition(X1,one),X2)),inference(spm,[status(thm)],[41,49,theory(equality)])).
% cnf(217,negated_conjecture,(addition(esk4_0,esk2_0)=esk2_0|addition(esk4_0,multiplication(esk2_0,esk3_0))=multiplication(esk2_0,esk3_0)),inference(spm,[status(thm)],[25,86,theory(equality)])).
% cnf(219,negated_conjecture,(addition(esk4_0,esk3_0)=esk3_0|addition(esk4_0,multiplication(esk2_0,esk3_0))=multiplication(esk2_0,esk3_0)),inference(spm,[status(thm)],[25,87,theory(equality)])).
% cnf(277,plain,(zero=multiplication(X1,multiplication(X2,esk1_1(multiplication(X1,X2))))|~test(multiplication(X1,X2))),inference(spm,[status(thm)],[21,82,theory(equality)])).
% cnf(280,plain,(addition(zero,multiplication(X1,X2))=multiplication(X1,addition(esk1_1(X1),X2))|~test(X1)),inference(spm,[status(thm)],[39,82,theory(equality)])).
% cnf(282,plain,(addition(multiplication(X1,X2),zero)=multiplication(X1,addition(X2,esk1_1(X1)))|~test(X1)),inference(spm,[status(thm)],[39,82,theory(equality)])).
% cnf(283,plain,(addition(multiplication(X1,esk1_1(X2)),zero)=multiplication(addition(X1,X2),esk1_1(X2))|~test(X2)),inference(spm,[status(thm)],[41,82,theory(equality)])).
% cnf(287,plain,(multiplication(X1,X2)=multiplication(X1,addition(esk1_1(X1),X2))|~test(X1)),inference(rw,[status(thm)],[280,115,theory(equality)])).
% cnf(289,plain,(multiplication(X1,X2)=multiplication(X1,addition(X2,esk1_1(X1)))|~test(X1)),inference(rw,[status(thm)],[282,59,theory(equality)])).
% cnf(290,plain,(multiplication(X1,esk1_1(X2))=multiplication(addition(X1,X2),esk1_1(X2))|~test(X2)),inference(rw,[status(thm)],[283,59,theory(equality)])).
% cnf(318,plain,(leq(X1,addition(X1,X2))),inference(spm,[status(thm)],[24,110,theory(equality)])).
% cnf(344,plain,(leq(multiplication(X1,X2),multiplication(X1,addition(X2,X3)))),inference(spm,[status(thm)],[318,39,theory(equality)])).
% cnf(349,plain,(leq(X1,addition(X2,X1))),inference(spm,[status(thm)],[318,27,theory(equality)])).
% cnf(358,plain,(leq(X1,addition(X2,addition(X3,X1)))),inference(spm,[status(thm)],[349,29,theory(equality)])).
% cnf(442,plain,(addition(X1,multiplication(X1,X2))=multiplication(X1,addition(X2,one))),inference(rw,[status(thm)],[150,27,theory(equality)])).
% cnf(478,plain,(addition(X2,multiplication(X1,X2))=multiplication(addition(X1,one),X2)),inference(rw,[status(thm)],[180,27,theory(equality)])).
% cnf(488,plain,(leq(multiplication(X1,X2),X2)|multiplication(addition(X1,one),X2)!=X2),inference(spm,[status(thm)],[117,478,theory(equality)])).
% cnf(514,plain,(addition(one,X2)=addition(X1,addition(esk1_1(X1),X2))|~test(X1)),inference(spm,[status(thm)],[29,83,theory(equality)])).
% cnf(515,plain,(addition(X1,one)=one|~test(X1)),inference(spm,[status(thm)],[110,83,theory(equality)])).
% cnf(556,plain,(leq(multiplication(X1,X2),addition(X3,multiplication(X1,addition(X2,one))))),inference(spm,[status(thm)],[358,442,theory(equality)])).
% cnf(662,negated_conjecture,(addition(esk4_0,one)=one),inference(spm,[status(thm)],[515,74,theory(equality)])).
% cnf(663,negated_conjecture,(addition(esk3_0,one)=one),inference(spm,[status(thm)],[515,75,theory(equality)])).
% cnf(664,negated_conjecture,(addition(esk2_0,one)=one),inference(spm,[status(thm)],[515,76,theory(equality)])).
% cnf(737,plain,(complement(X1,esk1_1(X1))|multiplication(X1,esk1_1(X1))!=zero|addition(esk1_1(X1),X1)!=one|~test(X1)),inference(spm,[status(thm)],[63,84,theory(equality)])).
% cnf(739,plain,(multiplication(zero,X2)=multiplication(esk1_1(X1),multiplication(X1,X2))|~test(X1)),inference(spm,[status(thm)],[21,84,theory(equality)])).
% cnf(743,plain,(addition(multiplication(esk1_1(X1),X2),zero)=multiplication(esk1_1(X1),addition(X2,X1))|~test(X1)),inference(spm,[status(thm)],[39,84,theory(equality)])).
% cnf(751,plain,(zero=multiplication(esk1_1(X1),multiplication(X1,X2))|~test(X1)),inference(rw,[status(thm)],[739,45,theory(equality)])).
% cnf(755,plain,(multiplication(esk1_1(X1),X2)=multiplication(esk1_1(X1),addition(X2,X1))|~test(X1)),inference(rw,[status(thm)],[743,59,theory(equality)])).
% cnf(1468,negated_conjecture,(leq(multiplication(esk4_0,X1),X1)|multiplication(one,X1)!=X1),inference(spm,[status(thm)],[488,662,theory(equality)])).
% cnf(1479,negated_conjecture,(leq(multiplication(esk4_0,X1),X1)|$false),inference(rw,[status(thm)],[1468,49,theory(equality)])).
% cnf(1480,negated_conjecture,(leq(multiplication(esk4_0,X1),X1)),inference(cn,[status(thm)],[1479,theory(equality)])).
% cnf(9490,negated_conjecture,(leq(multiplication(esk4_0,X1),addition(esk1_1(esk4_0),X1))|~test(esk4_0)),inference(spm,[status(thm)],[1480,287,theory(equality)])).
% cnf(9549,plain,(multiplication(X1,one)=multiplication(X1,esk1_1(esk1_1(X1)))|~test(X1)|~test(esk1_1(X1))),inference(spm,[status(thm)],[287,83,theory(equality)])).
% cnf(9560,negated_conjecture,(leq(multiplication(esk4_0,X1),addition(esk1_1(esk4_0),X1))|$false),inference(rw,[status(thm)],[9490,74,theory(equality)])).
% cnf(9561,negated_conjecture,(leq(multiplication(esk4_0,X1),addition(esk1_1(esk4_0),X1))),inference(cn,[status(thm)],[9560,theory(equality)])).
% cnf(9606,plain,(X1=multiplication(X1,esk1_1(esk1_1(X1)))|~test(X1)|~test(esk1_1(X1))),inference(rw,[status(thm)],[9549,47,theory(equality)])).
% cnf(9622,negated_conjecture,(leq(multiplication(esk4_0,X1),addition(X1,esk1_1(esk4_0)))),inference(spm,[status(thm)],[9561,27,theory(equality)])).
% cnf(9733,negated_conjecture,(leq(multiplication(esk4_0,esk4_0),one)|~test(esk4_0)),inference(spm,[status(thm)],[9622,83,theory(equality)])).
% cnf(9747,negated_conjecture,(leq(multiplication(esk4_0,esk4_0),one)|$false),inference(rw,[status(thm)],[9733,74,theory(equality)])).
% cnf(9748,negated_conjecture,(leq(multiplication(esk4_0,esk4_0),one)),inference(cn,[status(thm)],[9747,theory(equality)])).
% cnf(9763,negated_conjecture,(addition(multiplication(esk4_0,esk4_0),one)=one),inference(spm,[status(thm)],[25,9748,theory(equality)])).
% cnf(9764,negated_conjecture,(addition(one,multiplication(esk4_0,esk4_0))=one),inference(rw,[status(thm)],[9763,27,theory(equality)])).
% cnf(9766,negated_conjecture,(addition(one,X1)=addition(one,addition(multiplication(esk4_0,esk4_0),X1))),inference(spm,[status(thm)],[29,9764,theory(equality)])).
% cnf(10254,negated_conjecture,(addition(one,multiplication(addition(esk4_0,X1),esk4_0))=addition(one,multiplication(X1,esk4_0))),inference(spm,[status(thm)],[9766,41,theory(equality)])).
% cnf(10429,plain,(multiplication(X1,one)=multiplication(X1,X1)|~test(X1)),inference(spm,[status(thm)],[289,83,theory(equality)])).
% cnf(10489,plain,(X1=multiplication(X1,X1)|~test(X1)),inference(rw,[status(thm)],[10429,47,theory(equality)])).
% cnf(14667,negated_conjecture,(multiplication(esk4_0,esk4_0)=esk4_0),inference(spm,[status(thm)],[10489,74,theory(equality)])).
% cnf(14668,negated_conjecture,(multiplication(esk3_0,esk3_0)=esk3_0),inference(spm,[status(thm)],[10489,75,theory(equality)])).
% cnf(14669,negated_conjecture,(multiplication(esk2_0,esk2_0)=esk2_0),inference(spm,[status(thm)],[10489,76,theory(equality)])).
% cnf(14711,negated_conjecture,(multiplication(esk4_0,X1)=multiplication(esk4_0,multiplication(esk4_0,X1))),inference(spm,[status(thm)],[21,14667,theory(equality)])).
% cnf(14719,negated_conjecture,(multiplication(esk4_0,multiplication(esk4_0,esk1_1(esk4_0)))=zero|~test(esk4_0)),inference(spm,[status(thm)],[277,14667,theory(equality)])).
% cnf(14733,negated_conjecture,(addition(multiplication(X1,esk4_0),esk4_0)=multiplication(addition(X1,esk4_0),esk4_0)),inference(spm,[status(thm)],[41,14667,theory(equality)])).
% cnf(14766,negated_conjecture,(multiplication(esk4_0,multiplication(esk4_0,esk1_1(esk4_0)))=zero|$false),inference(rw,[status(thm)],[14719,74,theory(equality)])).
% cnf(14767,negated_conjecture,(multiplication(esk4_0,multiplication(esk4_0,esk1_1(esk4_0)))=zero),inference(cn,[status(thm)],[14766,theory(equality)])).
% cnf(14810,negated_conjecture,(addition(multiplication(esk3_0,X1),esk3_0)=multiplication(esk3_0,addition(X1,esk3_0))),inference(spm,[status(thm)],[39,14668,theory(equality)])).
% cnf(14813,negated_conjecture,(addition(multiplication(X1,esk3_0),esk3_0)=multiplication(addition(X1,esk3_0),esk3_0)),inference(spm,[status(thm)],[41,14668,theory(equality)])).
% cnf(14998,negated_conjecture,(multiplication(esk2_0,X1)=multiplication(esk2_0,multiplication(esk2_0,X1))),inference(spm,[status(thm)],[21,14669,theory(equality)])).
% cnf(15006,negated_conjecture,(multiplication(esk2_0,multiplication(esk2_0,esk1_1(esk2_0)))=zero|~test(esk2_0)),inference(spm,[status(thm)],[277,14669,theory(equality)])).
% cnf(15048,negated_conjecture,(multiplication(esk2_0,multiplication(esk2_0,esk1_1(esk2_0)))=zero|$false),inference(rw,[status(thm)],[15006,76,theory(equality)])).
% cnf(15049,negated_conjecture,(multiplication(esk2_0,multiplication(esk2_0,esk1_1(esk2_0)))=zero),inference(cn,[status(thm)],[15048,theory(equality)])).
% cnf(15220,negated_conjecture,(multiplication(esk4_0,esk1_1(esk4_0))=zero),inference(rw,[status(thm)],[14767,14711,theory(equality)])).
% cnf(16003,negated_conjecture,(multiplication(addition(X1,one),esk4_0)=multiplication(addition(X1,esk4_0),esk4_0)),inference(rw,[status(thm)],[inference(rw,[status(thm)],[14733,27,theory(equality)]),478,theory(equality)])).
% cnf(16049,negated_conjecture,(multiplication(one,esk4_0)=multiplication(addition(esk3_0,esk4_0),esk4_0)),inference(spm,[status(thm)],[16003,663,theory(equality)])).
% cnf(16050,negated_conjecture,(multiplication(one,esk4_0)=multiplication(addition(esk2_0,esk4_0),esk4_0)),inference(spm,[status(thm)],[16003,664,theory(equality)])).
% cnf(16097,negated_conjecture,(esk4_0=multiplication(addition(esk3_0,esk4_0),esk4_0)),inference(rw,[status(thm)],[16049,49,theory(equality)])).
% cnf(16098,negated_conjecture,(esk4_0=multiplication(addition(esk4_0,esk3_0),esk4_0)),inference(rw,[status(thm)],[16097,27,theory(equality)])).
% cnf(16099,negated_conjecture,(esk4_0=multiplication(addition(esk2_0,esk4_0),esk4_0)),inference(rw,[status(thm)],[16050,49,theory(equality)])).
% cnf(16100,negated_conjecture,(esk4_0=multiplication(addition(esk4_0,esk2_0),esk4_0)),inference(rw,[status(thm)],[16099,27,theory(equality)])).
% cnf(16267,negated_conjecture,(addition(one,esk4_0)=addition(one,multiplication(esk3_0,esk4_0))),inference(spm,[status(thm)],[10254,16098,theory(equality)])).
% cnf(16305,negated_conjecture,(one=addition(one,multiplication(esk3_0,esk4_0))),inference(rw,[status(thm)],[inference(rw,[status(thm)],[16267,27,theory(equality)]),662,theory(equality)])).
% cnf(16309,negated_conjecture,(addition(esk4_0,multiplication(addition(esk4_0,esk2_0),X1))=multiplication(addition(esk4_0,esk2_0),addition(esk4_0,X1))),inference(spm,[status(thm)],[39,16100,theory(equality)])).
% cnf(17204,negated_conjecture,(multiplication(esk3_0,addition(X1,one))=multiplication(esk3_0,addition(X1,esk3_0))),inference(rw,[status(thm)],[inference(rw,[status(thm)],[14810,27,theory(equality)]),442,theory(equality)])).
% cnf(17252,negated_conjecture,(multiplication(esk3_0,one)=multiplication(esk3_0,addition(esk4_0,esk3_0))),inference(spm,[status(thm)],[17204,662,theory(equality)])).
% cnf(17297,negated_conjecture,(esk3_0=multiplication(esk3_0,addition(esk4_0,esk3_0))),inference(rw,[status(thm)],[17252,47,theory(equality)])).
% cnf(17311,negated_conjecture,(addition(esk3_0,multiplication(X1,addition(esk4_0,esk3_0)))=multiplication(addition(esk3_0,X1),addition(esk4_0,esk3_0))),inference(spm,[status(thm)],[41,17297,theory(equality)])).
% cnf(17455,negated_conjecture,(multiplication(addition(X1,one),esk3_0)=multiplication(addition(X1,esk3_0),esk3_0)),inference(rw,[status(thm)],[inference(rw,[status(thm)],[14813,27,theory(equality)]),478,theory(equality)])).
% cnf(17503,negated_conjecture,(multiplication(one,esk3_0)=multiplication(addition(esk2_0,esk3_0),esk3_0)),inference(spm,[status(thm)],[17455,664,theory(equality)])).
% cnf(17552,negated_conjecture,(esk3_0=multiplication(addition(esk2_0,esk3_0),esk3_0)),inference(rw,[status(thm)],[17503,49,theory(equality)])).
% cnf(18030,negated_conjecture,(addition(esk3_0,multiplication(addition(esk2_0,esk3_0),X1))=multiplication(addition(esk2_0,esk3_0),addition(esk3_0,X1))),inference(spm,[status(thm)],[39,17552,theory(equality)])).
% cnf(18257,negated_conjecture,(multiplication(esk2_0,esk1_1(esk2_0))=zero),inference(rw,[status(thm)],[15049,14998,theory(equality)])).
% cnf(28060,negated_conjecture,(leq(multiplication(X1,esk3_0),addition(X2,multiplication(X1,one)))),inference(spm,[status(thm)],[556,663,theory(equality)])).
% cnf(28168,negated_conjecture,(leq(multiplication(X1,esk3_0),addition(X2,X1))),inference(rw,[status(thm)],[28060,47,theory(equality)])).
% cnf(29638,negated_conjecture,(leq(multiplication(X1,esk3_0),addition(X1,X2))),inference(spm,[status(thm)],[28168,27,theory(equality)])).
% cnf(32796,plain,(complement(X1,esk1_1(X1))|multiplication(X1,esk1_1(X1))!=zero|addition(X1,esk1_1(X1))!=one|~test(X1)),inference(rw,[status(thm)],[737,27,theory(equality)])).
% cnf(32797,plain,(complement(X1,esk1_1(X1))|multiplication(X1,esk1_1(X1))!=zero|~test(X1)),inference(csr,[status(thm)],[32796,83])).
% cnf(32798,plain,(complement(X1,esk1_1(X1))|~test(X1)),inference(csr,[status(thm)],[32797,82])).
% cnf(32799,plain,(test(esk1_1(X1))|~test(X1)),inference(spm,[status(thm)],[37,32798,theory(equality)])).
% cnf(32802,plain,(c(X1)=esk1_1(X1)|~test(X1)),inference(spm,[status(thm)],[56,32798,theory(equality)])).
% cnf(32828,negated_conjecture,(multiplication(esk4_0,c(esk4_0))=zero|~test(esk4_0)),inference(spm,[status(thm)],[15220,32802,theory(equality)])).
% cnf(32957,negated_conjecture,(multiplication(esk4_0,c(esk4_0))=zero|$false),inference(rw,[status(thm)],[32828,74,theory(equality)])).
% cnf(32958,negated_conjecture,(multiplication(esk4_0,c(esk4_0))=zero),inference(cn,[status(thm)],[32957,theory(equality)])).
% cnf(33211,negated_conjecture,(addition(zero,multiplication(esk4_0,X1))=multiplication(esk4_0,addition(c(esk4_0),X1))),inference(spm,[status(thm)],[39,32958,theory(equality)])).
% cnf(33263,negated_conjecture,(multiplication(esk4_0,X1)=multiplication(esk4_0,addition(c(esk4_0),X1))),inference(rw,[status(thm)],[33211,115,theory(equality)])).
% cnf(34625,negated_conjecture,(multiplication(esk1_1(esk4_0),esk4_0)=zero|~test(esk4_0)),inference(spm,[status(thm)],[751,14667,theory(equality)])).
% cnf(34645,negated_conjecture,(multiplication(esk1_1(esk2_0),esk2_0)=zero|~test(esk2_0)),inference(spm,[status(thm)],[751,14669,theory(equality)])).
% cnf(34785,negated_conjecture,(multiplication(esk1_1(esk4_0),esk4_0)=zero|$false),inference(rw,[status(thm)],[34625,74,theory(equality)])).
% cnf(34786,negated_conjecture,(multiplication(esk1_1(esk4_0),esk4_0)=zero),inference(cn,[status(thm)],[34785,theory(equality)])).
% cnf(34831,negated_conjecture,(multiplication(esk1_1(esk2_0),esk2_0)=zero|$false),inference(rw,[status(thm)],[34645,76,theory(equality)])).
% cnf(34832,negated_conjecture,(multiplication(esk1_1(esk2_0),esk2_0)=zero),inference(cn,[status(thm)],[34831,theory(equality)])).
% cnf(34872,negated_conjecture,(complement(esk4_0,esk1_1(esk4_0))|multiplication(esk4_0,esk1_1(esk4_0))!=zero|addition(esk1_1(esk4_0),esk4_0)!=one),inference(spm,[status(thm)],[63,34786,theory(equality)])).
% cnf(34918,negated_conjecture,(multiplication(c(esk4_0),esk4_0)=zero|~test(esk4_0)),inference(spm,[status(thm)],[34786,32802,theory(equality)])).
% cnf(34922,negated_conjecture,(complement(esk4_0,esk1_1(esk4_0))|$false|addition(esk1_1(esk4_0),esk4_0)!=one),inference(rw,[status(thm)],[34872,15220,theory(equality)])).
% cnf(34923,negated_conjecture,(complement(esk4_0,esk1_1(esk4_0))|$false|addition(esk4_0,esk1_1(esk4_0))!=one),inference(rw,[status(thm)],[34922,27,theory(equality)])).
% cnf(34924,negated_conjecture,(complement(esk4_0,esk1_1(esk4_0))|addition(esk4_0,esk1_1(esk4_0))!=one),inference(cn,[status(thm)],[34923,theory(equality)])).
% cnf(34978,negated_conjecture,(multiplication(c(esk4_0),esk4_0)=zero|$false),inference(rw,[status(thm)],[34918,74,theory(equality)])).
% cnf(34979,negated_conjecture,(multiplication(c(esk4_0),esk4_0)=zero),inference(cn,[status(thm)],[34978,theory(equality)])).
% cnf(35090,negated_conjecture,(complement(esk2_0,esk1_1(esk2_0))|multiplication(esk2_0,esk1_1(esk2_0))!=zero|addition(esk1_1(esk2_0),esk2_0)!=one),inference(spm,[status(thm)],[63,34832,theory(equality)])).
% cnf(35135,negated_conjecture,(multiplication(c(esk2_0),esk2_0)=zero|~test(esk2_0)),inference(spm,[status(thm)],[34832,32802,theory(equality)])).
% cnf(35137,negated_conjecture,(complement(esk2_0,esk1_1(esk2_0))|$false|addition(esk1_1(esk2_0),esk2_0)!=one),inference(rw,[status(thm)],[35090,18257,theory(equality)])).
% cnf(35138,negated_conjecture,(complement(esk2_0,esk1_1(esk2_0))|$false|addition(esk2_0,esk1_1(esk2_0))!=one),inference(rw,[status(thm)],[35137,27,theory(equality)])).
% cnf(35139,negated_conjecture,(complement(esk2_0,esk1_1(esk2_0))|addition(esk2_0,esk1_1(esk2_0))!=one),inference(cn,[status(thm)],[35138,theory(equality)])).
% cnf(35192,negated_conjecture,(multiplication(c(esk2_0),esk2_0)=zero|$false),inference(rw,[status(thm)],[35135,76,theory(equality)])).
% cnf(35193,negated_conjecture,(multiplication(c(esk2_0),esk2_0)=zero),inference(cn,[status(thm)],[35192,theory(equality)])).
% cnf(35201,negated_conjecture,(addition(zero,multiplication(X1,esk4_0))=multiplication(addition(c(esk4_0),X1),esk4_0)),inference(spm,[status(thm)],[41,34979,theory(equality)])).
% cnf(35249,negated_conjecture,(multiplication(X1,esk4_0)=multiplication(addition(c(esk4_0),X1),esk4_0)),inference(rw,[status(thm)],[35201,115,theory(equality)])).
% cnf(40690,negated_conjecture,(complement(esk4_0,esk1_1(esk4_0))|~test(esk4_0)),inference(spm,[status(thm)],[34924,83,theory(equality)])).
% cnf(40693,negated_conjecture,(complement(esk4_0,esk1_1(esk4_0))|$false),inference(rw,[status(thm)],[40690,74,theory(equality)])).
% cnf(40694,negated_conjecture,(complement(esk4_0,esk1_1(esk4_0))),inference(cn,[status(thm)],[40693,theory(equality)])).
% cnf(40702,negated_conjecture,(complement(esk2_0,esk1_1(esk2_0))|~test(esk2_0)),inference(spm,[status(thm)],[35139,83,theory(equality)])).
% cnf(40705,negated_conjecture,(complement(esk2_0,esk1_1(esk2_0))|$false),inference(rw,[status(thm)],[40702,76,theory(equality)])).
% cnf(40706,negated_conjecture,(complement(esk2_0,esk1_1(esk2_0))),inference(cn,[status(thm)],[40705,theory(equality)])).
% cnf(40716,negated_conjecture,(c(esk4_0)=esk1_1(esk4_0)|~test(esk4_0)),inference(spm,[status(thm)],[56,40694,theory(equality)])).
% cnf(40722,negated_conjecture,(c(esk4_0)=esk1_1(esk4_0)|$false),inference(rw,[status(thm)],[40716,74,theory(equality)])).
% cnf(40723,negated_conjecture,(c(esk4_0)=esk1_1(esk4_0)),inference(cn,[status(thm)],[40722,theory(equality)])).
% cnf(40730,negated_conjecture,(addition(esk4_0,c(esk4_0))=one|~test(esk4_0)),inference(spm,[status(thm)],[83,40723,theory(equality)])).
% cnf(40755,negated_conjecture,(test(c(esk4_0))|~test(esk4_0)),inference(spm,[status(thm)],[32799,40723,theory(equality)])).
% cnf(40808,negated_conjecture,(addition(esk4_0,c(esk4_0))=one|$false),inference(rw,[status(thm)],[40730,74,theory(equality)])).
% cnf(40809,negated_conjecture,(addition(esk4_0,c(esk4_0))=one),inference(cn,[status(thm)],[40808,theory(equality)])).
% cnf(40866,negated_conjecture,(test(c(esk4_0))|$false),inference(rw,[status(thm)],[40755,74,theory(equality)])).
% cnf(40867,negated_conjecture,(test(c(esk4_0))),inference(cn,[status(thm)],[40866,theory(equality)])).
% cnf(41184,negated_conjecture,(test(esk1_1(esk2_0))),inference(spm,[status(thm)],[37,40706,theory(equality)])).
% cnf(41187,negated_conjecture,(c(esk2_0)=esk1_1(esk2_0)|~test(esk2_0)),inference(spm,[status(thm)],[56,40706,theory(equality)])).
% cnf(41193,negated_conjecture,(c(esk2_0)=esk1_1(esk2_0)|$false),inference(rw,[status(thm)],[41187,76,theory(equality)])).
% cnf(41194,negated_conjecture,(c(esk2_0)=esk1_1(esk2_0)),inference(cn,[status(thm)],[41193,theory(equality)])).
% cnf(41204,negated_conjecture,(test(c(esk2_0))|~test(esk2_0)),inference(spm,[status(thm)],[41184,32802,theory(equality)])).
% cnf(41214,negated_conjecture,(test(c(esk2_0))|$false),inference(rw,[status(thm)],[41204,76,theory(equality)])).
% cnf(41215,negated_conjecture,(test(c(esk2_0))),inference(cn,[status(thm)],[41214,theory(equality)])).
% cnf(41229,negated_conjecture,(addition(esk2_0,c(esk2_0))=one|~test(esk2_0)),inference(spm,[status(thm)],[83,41194,theory(equality)])).
% cnf(41251,negated_conjecture,(multiplication(esk2_0,esk1_1(c(esk2_0)))=esk2_0|~test(c(esk2_0))|~test(esk2_0)),inference(spm,[status(thm)],[9606,41194,theory(equality)])).
% cnf(41310,negated_conjecture,(addition(esk2_0,c(esk2_0))=one|$false),inference(rw,[status(thm)],[41229,76,theory(equality)])).
% cnf(41311,negated_conjecture,(addition(esk2_0,c(esk2_0))=one),inference(cn,[status(thm)],[41310,theory(equality)])).
% cnf(41363,negated_conjecture,(multiplication(esk2_0,esk1_1(c(esk2_0)))=esk2_0|$false|~test(esk2_0)),inference(rw,[status(thm)],[41251,41215,theory(equality)])).
% cnf(41364,negated_conjecture,(multiplication(esk2_0,esk1_1(c(esk2_0)))=esk2_0|$false|$false),inference(rw,[status(thm)],[41363,76,theory(equality)])).
% cnf(41365,negated_conjecture,(multiplication(esk2_0,esk1_1(c(esk2_0)))=esk2_0),inference(cn,[status(thm)],[41364,theory(equality)])).
% cnf(41578,negated_conjecture,(multiplication(one,esk1_1(c(esk4_0)))=multiplication(esk4_0,esk1_1(c(esk4_0)))|~test(c(esk4_0))),inference(spm,[status(thm)],[290,40809,theory(equality)])).
% cnf(41662,negated_conjecture,(esk1_1(c(esk4_0))=multiplication(esk4_0,esk1_1(c(esk4_0)))|~test(c(esk4_0))),inference(rw,[status(thm)],[41578,49,theory(equality)])).
% cnf(41663,negated_conjecture,(esk1_1(c(esk4_0))=multiplication(esk4_0,esk1_1(c(esk4_0)))|$false),inference(rw,[status(thm)],[41662,40867,theory(equality)])).
% cnf(41664,negated_conjecture,(esk1_1(c(esk4_0))=multiplication(esk4_0,esk1_1(c(esk4_0)))),inference(cn,[status(thm)],[41663,theory(equality)])).
% cnf(42063,negated_conjecture,(multiplication(one,esk1_1(c(esk2_0)))=multiplication(esk2_0,esk1_1(c(esk2_0)))|~test(c(esk2_0))),inference(spm,[status(thm)],[290,41311,theory(equality)])).
% cnf(42146,negated_conjecture,(esk1_1(c(esk2_0))=multiplication(esk2_0,esk1_1(c(esk2_0)))|~test(c(esk2_0))),inference(rw,[status(thm)],[42063,49,theory(equality)])).
% cnf(42147,negated_conjecture,(esk1_1(c(esk2_0))=multiplication(esk2_0,esk1_1(c(esk2_0)))|$false),inference(rw,[status(thm)],[42146,41215,theory(equality)])).
% cnf(42148,negated_conjecture,(esk1_1(c(esk2_0))=multiplication(esk2_0,esk1_1(c(esk2_0)))),inference(cn,[status(thm)],[42147,theory(equality)])).
% cnf(42813,negated_conjecture,(esk2_0=esk1_1(c(esk2_0))),inference(rw,[status(thm)],[42148,41365,theory(equality)])).
% cnf(43977,negated_conjecture,(leq(multiplication(esk2_0,esk3_0),one)),inference(spm,[status(thm)],[29638,41311,theory(equality)])).
% cnf(44121,negated_conjecture,(addition(multiplication(esk2_0,esk3_0),one)=one),inference(spm,[status(thm)],[25,43977,theory(equality)])).
% cnf(44123,negated_conjecture,(addition(one,multiplication(esk2_0,esk3_0))=one),inference(rw,[status(thm)],[44121,27,theory(equality)])).
% cnf(52894,negated_conjecture,(multiplication(esk4_0,one)=multiplication(esk4_0,esk1_1(c(esk4_0)))|~test(c(esk4_0))),inference(spm,[status(thm)],[33263,83,theory(equality)])).
% cnf(52982,negated_conjecture,(esk4_0=multiplication(esk4_0,esk1_1(c(esk4_0)))|~test(c(esk4_0))),inference(rw,[status(thm)],[52894,47,theory(equality)])).
% cnf(52983,negated_conjecture,(esk4_0=esk1_1(c(esk4_0))|~test(c(esk4_0))),inference(rw,[status(thm)],[52982,41664,theory(equality)])).
% cnf(52984,negated_conjecture,(esk4_0=esk1_1(c(esk4_0))|$false),inference(rw,[status(thm)],[52983,40867,theory(equality)])).
% cnf(52985,negated_conjecture,(esk4_0=esk1_1(c(esk4_0))),inference(cn,[status(thm)],[52984,theory(equality)])).
% cnf(58109,negated_conjecture,(multiplication(addition(one,X1),esk4_0)=multiplication(addition(esk1_1(c(esk4_0)),X1),esk4_0)|~test(c(esk4_0))),inference(spm,[status(thm)],[35249,514,theory(equality)])).
% cnf(58207,negated_conjecture,(multiplication(addition(one,X1),esk4_0)=multiplication(addition(esk4_0,X1),esk4_0)|~test(c(esk4_0))),inference(rw,[status(thm)],[58109,52985,theory(equality)])).
% cnf(58208,negated_conjecture,(multiplication(addition(one,X1),esk4_0)=multiplication(addition(esk4_0,X1),esk4_0)|$false),inference(rw,[status(thm)],[58207,40867,theory(equality)])).
% cnf(58209,negated_conjecture,(multiplication(addition(one,X1),esk4_0)=multiplication(addition(esk4_0,X1),esk4_0)),inference(cn,[status(thm)],[58208,theory(equality)])).
% cnf(58335,negated_conjecture,(multiplication(one,esk4_0)=multiplication(addition(esk4_0,multiplication(esk2_0,esk3_0)),esk4_0)),inference(spm,[status(thm)],[58209,44123,theory(equality)])).
% cnf(58488,negated_conjecture,(esk4_0=multiplication(addition(esk4_0,multiplication(esk2_0,esk3_0)),esk4_0)),inference(rw,[status(thm)],[58335,49,theory(equality)])).
% cnf(77877,negated_conjecture,(multiplication(multiplication(esk2_0,esk3_0),esk4_0)=esk4_0|addition(esk4_0,esk2_0)=esk2_0),inference(spm,[status(thm)],[58488,217,theory(equality)])).
% cnf(77945,negated_conjecture,(multiplication(esk2_0,multiplication(esk3_0,esk4_0))=esk4_0|addition(esk4_0,esk2_0)=esk2_0),inference(rw,[status(thm)],[77877,21,theory(equality)])).
% cnf(109200,negated_conjecture,(addition(esk2_0,esk4_0)=multiplication(esk2_0,addition(multiplication(esk3_0,esk4_0),one))|addition(esk4_0,esk2_0)=esk2_0),inference(spm,[status(thm)],[442,77945,theory(equality)])).
% cnf(109266,negated_conjecture,(addition(esk4_0,esk2_0)=multiplication(esk2_0,addition(multiplication(esk3_0,esk4_0),one))|addition(esk4_0,esk2_0)=esk2_0),inference(rw,[status(thm)],[109200,27,theory(equality)])).
% cnf(109267,negated_conjecture,(addition(esk4_0,esk2_0)=esk2_0|addition(esk4_0,esk2_0)=esk2_0),inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[109266,27,theory(equality)]),16305,theory(equality)]),47,theory(equality)])).
% cnf(109268,negated_conjecture,(addition(esk4_0,esk2_0)=esk2_0),inference(cn,[status(thm)],[109267,theory(equality)])).
% cnf(109308,negated_conjecture,(leq(esk4_0,esk2_0)),inference(spm,[status(thm)],[24,109268,theory(equality)])).
% cnf(109344,negated_conjecture,(multiplication(esk1_1(esk2_0),esk2_0)=multiplication(esk1_1(esk2_0),esk4_0)|~test(esk2_0)),inference(spm,[status(thm)],[755,109268,theory(equality)])).
% cnf(109443,negated_conjecture,(addition(esk4_0,multiplication(esk2_0,X1))=multiplication(addition(esk4_0,esk2_0),addition(esk4_0,X1))),inference(rw,[status(thm)],[16309,109268,theory(equality)])).
% cnf(109444,negated_conjecture,(addition(esk4_0,multiplication(esk2_0,X1))=multiplication(esk2_0,addition(esk4_0,X1))),inference(rw,[status(thm)],[109443,109268,theory(equality)])).
% cnf(109445,negated_conjecture,(multiplication(esk2_0,esk4_0)=esk4_0),inference(rw,[status(thm)],[16100,109268,theory(equality)])).
% cnf(109486,negated_conjecture,(zero=multiplication(esk1_1(esk2_0),esk4_0)|~test(esk2_0)),inference(rw,[status(thm)],[inference(rw,[status(thm)],[109344,41194,theory(equality)]),35193,theory(equality)])).
% cnf(109487,negated_conjecture,(zero=multiplication(c(esk2_0),esk4_0)|~test(esk2_0)),inference(rw,[status(thm)],[109486,41194,theory(equality)])).
% cnf(109488,negated_conjecture,(zero=multiplication(c(esk2_0),esk4_0)|$false),inference(rw,[status(thm)],[109487,76,theory(equality)])).
% cnf(109489,negated_conjecture,(zero=multiplication(c(esk2_0),esk4_0)),inference(cn,[status(thm)],[109488,theory(equality)])).
% cnf(109540,negated_conjecture,(~leq(esk4_0,multiplication(esk2_0,esk3_0))|$false|~leq(esk4_0,esk3_0)),inference(rw,[status(thm)],[73,109308,theory(equality)])).
% cnf(109541,negated_conjecture,(~leq(esk4_0,multiplication(esk2_0,esk3_0))|~leq(esk4_0,esk3_0)),inference(cn,[status(thm)],[109540,theory(equality)])).
% cnf(109562,negated_conjecture,(leq(esk4_0,multiplication(esk2_0,addition(esk4_0,X1)))),inference(spm,[status(thm)],[344,109445,theory(equality)])).
% cnf(109977,negated_conjecture,(addition(zero,multiplication(X1,esk4_0))=multiplication(addition(c(esk2_0),X1),esk4_0)),inference(spm,[status(thm)],[41,109489,theory(equality)])).
% cnf(110049,negated_conjecture,(multiplication(X1,esk4_0)=multiplication(addition(c(esk2_0),X1),esk4_0)),inference(rw,[status(thm)],[109977,115,theory(equality)])).
% cnf(113384,negated_conjecture,(multiplication(esk2_0,addition(esk4_0,esk3_0))=multiplication(esk2_0,esk3_0)|addition(esk4_0,esk3_0)=esk3_0),inference(rw,[status(thm)],[219,109444,theory(equality)])).
% cnf(123380,negated_conjecture,(multiplication(addition(one,X1),esk4_0)=multiplication(addition(esk1_1(c(esk2_0)),X1),esk4_0)|~test(c(esk2_0))),inference(spm,[status(thm)],[110049,514,theory(equality)])).
% cnf(123521,negated_conjecture,(multiplication(addition(esk4_0,X1),esk4_0)=multiplication(addition(esk1_1(c(esk2_0)),X1),esk4_0)|~test(c(esk2_0))),inference(rw,[status(thm)],[123380,58209,theory(equality)])).
% cnf(123522,negated_conjecture,(multiplication(addition(esk4_0,X1),esk4_0)=multiplication(addition(esk2_0,X1),esk4_0)|~test(c(esk2_0))),inference(rw,[status(thm)],[123521,42813,theory(equality)])).
% cnf(123523,negated_conjecture,(multiplication(addition(esk4_0,X1),esk4_0)=multiplication(addition(esk2_0,X1),esk4_0)|$false),inference(rw,[status(thm)],[123522,41215,theory(equality)])).
% cnf(123524,negated_conjecture,(multiplication(addition(esk4_0,X1),esk4_0)=multiplication(addition(esk2_0,X1),esk4_0)),inference(cn,[status(thm)],[123523,theory(equality)])).
% cnf(123626,negated_conjecture,(addition(esk3_0,multiplication(addition(esk4_0,esk3_0),esk4_0))=multiplication(addition(esk2_0,esk3_0),addition(esk3_0,esk4_0))),inference(spm,[status(thm)],[18030,123524,theory(equality)])).
% cnf(123770,negated_conjecture,(addition(esk4_0,esk3_0)=multiplication(addition(esk2_0,esk3_0),addition(esk3_0,esk4_0))),inference(rw,[status(thm)],[inference(rw,[status(thm)],[123626,16098,theory(equality)]),27,theory(equality)])).
% cnf(123771,negated_conjecture,(addition(esk4_0,esk3_0)=multiplication(addition(esk2_0,esk3_0),addition(esk4_0,esk3_0))),inference(rw,[status(thm)],[123770,27,theory(equality)])).
% cnf(202354,negated_conjecture,(addition(esk3_0,multiplication(esk2_0,esk3_0))=multiplication(addition(esk3_0,esk2_0),addition(esk4_0,esk3_0))|addition(esk4_0,esk3_0)=esk3_0),inference(spm,[status(thm)],[17311,113384,theory(equality)])).
% cnf(202456,negated_conjecture,(esk3_0=multiplication(addition(esk3_0,esk2_0),addition(esk4_0,esk3_0))|addition(esk4_0,esk3_0)=esk3_0),inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[202354,478,theory(equality)]),664,theory(equality)]),49,theory(equality)])).
% cnf(202457,negated_conjecture,(esk3_0=addition(esk4_0,esk3_0)|addition(esk4_0,esk3_0)=esk3_0),inference(rw,[status(thm)],[inference(rw,[status(thm)],[202456,27,theory(equality)]),123771,theory(equality)])).
% cnf(202458,negated_conjecture,(esk3_0=addition(esk4_0,esk3_0)),inference(cn,[status(thm)],[202457,theory(equality)])).
% cnf(202479,negated_conjecture,(leq(esk4_0,esk3_0)),inference(spm,[status(thm)],[24,202458,theory(equality)])).
% cnf(202662,negated_conjecture,(leq(esk4_0,multiplication(esk2_0,esk3_0))),inference(spm,[status(thm)],[109562,202458,theory(equality)])).
% cnf(204190,negated_conjecture,(~leq(esk4_0,multiplication(esk2_0,esk3_0))|$false),inference(rw,[status(thm)],[109541,202479,theory(equality)])).
% cnf(204191,negated_conjecture,(~leq(esk4_0,multiplication(esk2_0,esk3_0))),inference(cn,[status(thm)],[204190,theory(equality)])).
% cnf(205737,negated_conjecture,($false),inference(sr,[status(thm)],[202662,204191,theory(equality)])).
% cnf(205738,negated_conjecture,($false),205737,['proof']).
% # SZS output end CNFRefutation
% # Processed clauses : 8608
% # ...of these trivial : 2057
% # ...subsumed : 4987
% # ...remaining for further processing: 1564
% # Other redundant clauses eliminated : 2
% # Clauses deleted for lack of memory : 0
% # Backward-subsumed : 3
% # Backward-rewritten : 530
% # Generated clauses : 105530
% # ...of the previous two non-trivial : 67620
% # Contextual simplify-reflections : 184
% # Paramodulations : 105503
% # Factorizations : 0
% # Equation resolutions : 27
% # Current number of processed clauses: 1030
% # Positive orientable unit clauses: 654
% # Positive unorientable unit clauses: 10
% # Negative unit clauses : 1
% # Non-unit-clauses : 365
% # Current number of unprocessed clauses: 44013
% # ...number of literals in the above : 69451
% # Clause-clause subsumption calls (NU) : 24048
% # Rec. Clause-clause subsumption calls : 24000
% # Unit Clause-clause subsumption calls : 393
% # Rewrite failures with RHS unbound : 0
% # Indexed BW rewrite attempts : 2641
% # Indexed BW rewrite successes : 370
% # Backwards rewriting index: 874 leaves, 1.57+/-1.437 terms/leaf
% # Paramod-from index: 515 leaves, 1.47+/-0.997 terms/leaf
% # Paramod-into index: 703 leaves, 1.60+/-1.472 terms/leaf
% # -------------------------------------------------
% # User time : 2.716 s
% # System time : 0.091 s
% # Total time : 2.807 s
% # Maximum resident set size: 0 pages
% PrfWatch: 5.26 CPU 5.39 WC
% FINAL PrfWatch: 5.26 CPU 5.39 WC
% SZS output end Solution for /tmp/SystemOnTPTP29602/KLE017+1.tptp
%
%------------------------------------------------------------------------------