TSTP Solution File: KLE011+1 by SRASS---0.1
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- Process Solution
%------------------------------------------------------------------------------
% File : SRASS---0.1
% Problem : KLE011+1 : TPTP v5.0.0. Released v4.0.0.
% Transfm : none
% Format : tptp
% Command : SRASS -q2 -a 0 10 10 10 -i3 -n60 %s
% Computer : art01.cs.miami.edu
% Model : i686 i686
% CPU : Intel(R) Pentium(R) 4 CPU 2.80GHz @ 2793MHz
% Memory : 2018MB
% OS : Linux 2.6.26.8-57.fc8
% CPULimit : 300s
% DateTime : Wed Dec 29 07:31:45 EST 2010
% Result : Theorem 9.72s
% Output : Solution 9.72s
% 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/SystemOnTPTP24607/KLE011+1.tptp
% Adding relevance values
% Extracting the conjecture
% Sorting axioms by relevance
% Looking for THM ...
% found
% SZS status THM for /tmp/SystemOnTPTP24607/KLE011+1.tptp
% SZS output start Solution for /tmp/SystemOnTPTP24607/KLE011+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 24703
% TreeLimitedRun: ----------------------------------------------------------
% PrfWatch: 0.00 CPU 0.02 WC
% PrfWatch: 1.93 CPU 2.03 WC
% PrfWatch: 3.91 CPU 4.04 WC
% # Preprocessing time : 0.013 s
% # Problem is unsatisfiable (or provable), constructing proof object
% # SZS status Theorem
% PrfWatch: 5.90 CPU 6.04 WC
% PrfWatch: 7.89 CPU 8.05 WC
% # SZS output start CNFRefutation.
% fof(1, axiom,![X1]:![X2]:addition(X1,X2)=addition(X2,X1),file('/tmp/SRASS.s.p', additive_commutativity)).
% fof(2, axiom,![X3]:![X2]:![X1]:addition(X1,addition(X2,X3))=addition(addition(X1,X2),X3),file('/tmp/SRASS.s.p', additive_associativity)).
% fof(3, axiom,![X1]:addition(X1,X1)=X1,file('/tmp/SRASS.s.p', additive_idempotence)).
% fof(4, axiom,![X1]:![X2]:![X3]:multiplication(X1,multiplication(X2,X3))=multiplication(multiplication(X1,X2),X3),file('/tmp/SRASS.s.p', multiplicative_associativity)).
% fof(5, axiom,![X1]:multiplication(X1,one)=X1,file('/tmp/SRASS.s.p', multiplicative_right_identity)).
% fof(6, axiom,![X1]:multiplication(one,X1)=X1,file('/tmp/SRASS.s.p', multiplicative_left_identity)).
% 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,![X4]:![X5]:(test(X4)=>(c(X4)=X5<=>complement(X4,X5))),file('/tmp/SRASS.s.p', test_3)).
% fof(11, 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(12, axiom,![X4]:(test(X4)<=>?[X5]:complement(X5,X4)),file('/tmp/SRASS.s.p', test_1)).
% fof(13, axiom,![X1]:addition(X1,zero)=X1,file('/tmp/SRASS.s.p', additive_identity)).
% fof(15, axiom,![X1]:multiplication(zero,X1)=zero,file('/tmp/SRASS.s.p', left_annihilation)).
% fof(16, axiom,![X1]:![X2]:(leq(X1,X2)<=>addition(X1,X2)=X2),file('/tmp/SRASS.s.p', order)).
% fof(17, conjecture,![X4]:![X5]:((test(X5)&test(X4))=>one=addition(addition(multiplication(addition(X5,c(X5)),X4),multiplication(addition(X4,c(X4)),X5)),multiplication(c(X4),c(X5)))),file('/tmp/SRASS.s.p', goals)).
% fof(18, negated_conjecture,~(![X4]:![X5]:((test(X5)&test(X4))=>one=addition(addition(multiplication(addition(X5,c(X5)),X4),multiplication(addition(X4,c(X4)),X5)),multiplication(c(X4),c(X5))))),inference(assume_negation,[status(cth)],[17])).
% fof(20, plain,![X3]:![X4]:addition(X3,X4)=addition(X4,X3),inference(variable_rename,[status(thm)],[1])).
% cnf(21,plain,(addition(X1,X2)=addition(X2,X1)),inference(split_conjunct,[status(thm)],[20])).
% fof(22, plain,![X4]:![X5]:![X6]:addition(X6,addition(X5,X4))=addition(addition(X6,X5),X4),inference(variable_rename,[status(thm)],[2])).
% cnf(23,plain,(addition(X1,addition(X2,X3))=addition(addition(X1,X2),X3)),inference(split_conjunct,[status(thm)],[22])).
% fof(24, plain,![X2]:addition(X2,X2)=X2,inference(variable_rename,[status(thm)],[3])).
% cnf(25,plain,(addition(X1,X1)=X1),inference(split_conjunct,[status(thm)],[24])).
% fof(26, plain,![X4]:![X5]:![X6]:multiplication(X4,multiplication(X5,X6))=multiplication(multiplication(X4,X5),X6),inference(variable_rename,[status(thm)],[4])).
% cnf(27,plain,(multiplication(X1,multiplication(X2,X3))=multiplication(multiplication(X1,X2),X3)),inference(split_conjunct,[status(thm)],[26])).
% fof(28, plain,![X2]:multiplication(X2,one)=X2,inference(variable_rename,[status(thm)],[5])).
% cnf(29,plain,(multiplication(X1,one)=X1),inference(split_conjunct,[status(thm)],[28])).
% fof(30, plain,![X2]:multiplication(one,X2)=X2,inference(variable_rename,[status(thm)],[6])).
% cnf(31,plain,(multiplication(one,X1)=X1),inference(split_conjunct,[status(thm)],[30])).
% fof(32, plain,![X4]:![X5]:![X6]:multiplication(X4,addition(X5,X6))=addition(multiplication(X4,X5),multiplication(X4,X6)),inference(variable_rename,[status(thm)],[7])).
% cnf(33,plain,(multiplication(X1,addition(X2,X3))=addition(multiplication(X1,X2),multiplication(X1,X3))),inference(split_conjunct,[status(thm)],[32])).
% fof(34, plain,![X4]:![X5]:![X6]:multiplication(addition(X4,X5),X6)=addition(multiplication(X4,X6),multiplication(X5,X6)),inference(variable_rename,[status(thm)],[8])).
% cnf(35,plain,(multiplication(addition(X1,X2),X3)=addition(multiplication(X1,X3),multiplication(X2,X3))),inference(split_conjunct,[status(thm)],[34])).
% fof(39, plain,![X4]:![X5]:(~(test(X4))|((~(c(X4)=X5)|complement(X4,X5))&(~(complement(X4,X5))|c(X4)=X5))),inference(fof_nnf,[status(thm)],[10])).
% fof(40, plain,![X6]:![X7]:(~(test(X6))|((~(c(X6)=X7)|complement(X6,X7))&(~(complement(X6,X7))|c(X6)=X7))),inference(variable_rename,[status(thm)],[39])).
% fof(41, plain,![X6]:![X7]:(((~(c(X6)=X7)|complement(X6,X7))|~(test(X6)))&((~(complement(X6,X7))|c(X6)=X7)|~(test(X6)))),inference(distribute,[status(thm)],[40])).
% cnf(42,plain,(c(X1)=X2|~test(X1)|~complement(X1,X2)),inference(split_conjunct,[status(thm)],[41])).
% cnf(43,plain,(complement(X1,X2)|~test(X1)|c(X1)!=X2),inference(split_conjunct,[status(thm)],[41])).
% fof(44, 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)],[11])).
% fof(45, 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)],[44])).
% fof(46, 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)],[45])).
% cnf(47,plain,(complement(X1,X2)|addition(X2,X1)!=one|multiplication(X1,X2)!=zero|multiplication(X2,X1)!=zero),inference(split_conjunct,[status(thm)],[46])).
% cnf(48,plain,(addition(X2,X1)=one|~complement(X1,X2)),inference(split_conjunct,[status(thm)],[46])).
% cnf(49,plain,(multiplication(X1,X2)=zero|~complement(X1,X2)),inference(split_conjunct,[status(thm)],[46])).
% cnf(50,plain,(multiplication(X2,X1)=zero|~complement(X1,X2)),inference(split_conjunct,[status(thm)],[46])).
% fof(51, plain,![X4]:((~(test(X4))|?[X5]:complement(X5,X4))&(![X5]:~(complement(X5,X4))|test(X4))),inference(fof_nnf,[status(thm)],[12])).
% fof(52, plain,![X6]:((~(test(X6))|?[X7]:complement(X7,X6))&(![X8]:~(complement(X8,X6))|test(X6))),inference(variable_rename,[status(thm)],[51])).
% fof(53, plain,![X6]:((~(test(X6))|complement(esk1_1(X6),X6))&(![X8]:~(complement(X8,X6))|test(X6))),inference(skolemize,[status(esa)],[52])).
% fof(54, plain,![X6]:![X8]:((~(complement(X8,X6))|test(X6))&(~(test(X6))|complement(esk1_1(X6),X6))),inference(shift_quantors,[status(thm)],[53])).
% cnf(55,plain,(complement(esk1_1(X1),X1)|~test(X1)),inference(split_conjunct,[status(thm)],[54])).
% cnf(56,plain,(test(X1)|~complement(X2,X1)),inference(split_conjunct,[status(thm)],[54])).
% fof(57, plain,![X2]:addition(X2,zero)=X2,inference(variable_rename,[status(thm)],[13])).
% cnf(58,plain,(addition(X1,zero)=X1),inference(split_conjunct,[status(thm)],[57])).
% fof(61, plain,![X2]:multiplication(zero,X2)=zero,inference(variable_rename,[status(thm)],[15])).
% cnf(62,plain,(multiplication(zero,X1)=zero),inference(split_conjunct,[status(thm)],[61])).
% fof(63, plain,![X1]:![X2]:((~(leq(X1,X2))|addition(X1,X2)=X2)&(~(addition(X1,X2)=X2)|leq(X1,X2))),inference(fof_nnf,[status(thm)],[16])).
% fof(64, plain,![X3]:![X4]:((~(leq(X3,X4))|addition(X3,X4)=X4)&(~(addition(X3,X4)=X4)|leq(X3,X4))),inference(variable_rename,[status(thm)],[63])).
% cnf(65,plain,(leq(X1,X2)|addition(X1,X2)!=X2),inference(split_conjunct,[status(thm)],[64])).
% cnf(66,plain,(addition(X1,X2)=X2|~leq(X1,X2)),inference(split_conjunct,[status(thm)],[64])).
% fof(67, negated_conjecture,?[X4]:?[X5]:((test(X5)&test(X4))&~(one=addition(addition(multiplication(addition(X5,c(X5)),X4),multiplication(addition(X4,c(X4)),X5)),multiplication(c(X4),c(X5))))),inference(fof_nnf,[status(thm)],[18])).
% fof(68, negated_conjecture,?[X6]:?[X7]:((test(X7)&test(X6))&~(one=addition(addition(multiplication(addition(X7,c(X7)),X6),multiplication(addition(X6,c(X6)),X7)),multiplication(c(X6),c(X7))))),inference(variable_rename,[status(thm)],[67])).
% fof(69, negated_conjecture,((test(esk3_0)&test(esk2_0))&~(one=addition(addition(multiplication(addition(esk3_0,c(esk3_0)),esk2_0),multiplication(addition(esk2_0,c(esk2_0)),esk3_0)),multiplication(c(esk2_0),c(esk3_0))))),inference(skolemize,[status(esa)],[68])).
% cnf(70,negated_conjecture,(one!=addition(addition(multiplication(addition(esk3_0,c(esk3_0)),esk2_0),multiplication(addition(esk2_0,c(esk2_0)),esk3_0)),multiplication(c(esk2_0),c(esk3_0)))),inference(split_conjunct,[status(thm)],[69])).
% cnf(71,negated_conjecture,(test(esk2_0)),inference(split_conjunct,[status(thm)],[69])).
% cnf(72,negated_conjecture,(test(esk3_0)),inference(split_conjunct,[status(thm)],[69])).
% cnf(79,plain,(complement(X1,c(X1))|~test(X1)),inference(er,[status(thm)],[43,theory(equality)])).
% cnf(82,plain,(addition(X1,esk1_1(X1))=one|~test(X1)),inference(spm,[status(thm)],[48,55,theory(equality)])).
% cnf(83,plain,(multiplication(X1,esk1_1(X1))=zero|~test(X1)),inference(spm,[status(thm)],[50,55,theory(equality)])).
% cnf(84,plain,(multiplication(esk1_1(X1),X1)=zero|~test(X1)),inference(spm,[status(thm)],[49,55,theory(equality)])).
% cnf(97,plain,(addition(X1,X2)=addition(X1,addition(X1,X2))),inference(spm,[status(thm)],[23,25,theory(equality)])).
% cnf(98,negated_conjecture,(addition(multiplication(addition(esk3_0,c(esk3_0)),esk2_0),addition(multiplication(addition(esk2_0,c(esk2_0)),esk3_0),multiplication(c(esk2_0),c(esk3_0))))!=one),inference(rw,[status(thm)],[70,23,theory(equality)])).
% cnf(119,plain,(addition(X3,addition(X1,X2))=addition(X1,addition(X2,X3))),inference(spm,[status(thm)],[23,21,theory(equality)])).
% cnf(120,plain,(addition(zero,X1)=X1),inference(spm,[status(thm)],[58,21,theory(equality)])).
% cnf(122,plain,(leq(X1,X2)|addition(X2,X1)!=X2),inference(spm,[status(thm)],[65,21,theory(equality)])).
% cnf(123,plain,(addition(addition(X2,X1),X3)=addition(X1,addition(X2,X3))),inference(spm,[status(thm)],[23,21,theory(equality)])).
% cnf(124,plain,(complement(X1,X2)|addition(X1,X2)!=one|multiplication(X2,X1)!=zero|multiplication(X1,X2)!=zero),inference(spm,[status(thm)],[47,21,theory(equality)])).
% cnf(132,plain,(addition(X2,addition(X1,X3))=addition(X1,addition(X2,X3))),inference(rw,[status(thm)],[123,23,theory(equality)])).
% cnf(145,plain,(addition(multiplication(X1,X2),X1)=multiplication(X1,addition(X2,one))),inference(spm,[status(thm)],[33,29,theory(equality)])).
% cnf(235,plain,(addition(c(X1),X1)=one|~test(X1)),inference(spm,[status(thm)],[48,79,theory(equality)])).
% cnf(242,plain,(leq(X1,addition(X1,X2))),inference(spm,[status(thm)],[65,97,theory(equality)])).
% cnf(269,plain,(leq(multiplication(X1,X2),multiplication(X3,X2))|multiplication(addition(X3,X1),X2)!=multiplication(X3,X2)),inference(spm,[status(thm)],[122,35,theory(equality)])).
% cnf(313,plain,(addition(X1,one)=one|~test(X1)),inference(spm,[status(thm)],[97,82,theory(equality)])).
% cnf(340,plain,(leq(X1,addition(X2,X1))),inference(spm,[status(thm)],[242,21,theory(equality)])).
% cnf(351,plain,(leq(X1,addition(X2,addition(X3,X1)))),inference(spm,[status(thm)],[340,23,theory(equality)])).
% cnf(419,plain,(leq(multiplication(X1,X2),addition(X3,multiplication(X1,addition(X4,X2))))),inference(spm,[status(thm)],[351,33,theory(equality)])).
% cnf(449,negated_conjecture,(addition(esk3_0,one)=one),inference(spm,[status(thm)],[313,72,theory(equality)])).
% cnf(450,negated_conjecture,(addition(esk2_0,one)=one),inference(spm,[status(thm)],[313,71,theory(equality)])).
% cnf(495,negated_conjecture,(addition(one,esk3_0)=one),inference(rw,[status(thm)],[449,21,theory(equality)])).
% cnf(497,negated_conjecture,(addition(one,X1)=addition(one,addition(esk3_0,X1))),inference(spm,[status(thm)],[23,495,theory(equality)])).
% cnf(514,negated_conjecture,(addition(one,esk2_0)=one),inference(rw,[status(thm)],[450,21,theory(equality)])).
% cnf(516,negated_conjecture,(addition(one,X1)=addition(one,addition(esk2_0,X1))),inference(spm,[status(thm)],[23,514,theory(equality)])).
% cnf(539,plain,(zero=multiplication(X1,multiplication(X2,esk1_1(multiplication(X1,X2))))|~test(multiplication(X1,X2))),inference(spm,[status(thm)],[27,83,theory(equality)])).
% cnf(543,plain,(addition(multiplication(X1,X2),zero)=multiplication(X1,addition(X2,esk1_1(X1)))|~test(X1)),inference(spm,[status(thm)],[33,83,theory(equality)])).
% cnf(544,plain,(addition(multiplication(X1,esk1_1(X2)),zero)=multiplication(addition(X1,X2),esk1_1(X2))|~test(X2)),inference(spm,[status(thm)],[35,83,theory(equality)])).
% cnf(551,plain,(multiplication(X1,X2)=multiplication(X1,addition(X2,esk1_1(X1)))|~test(X1)),inference(rw,[status(thm)],[543,58,theory(equality)])).
% cnf(552,plain,(multiplication(X1,esk1_1(X2))=multiplication(addition(X1,X2),esk1_1(X2))|~test(X2)),inference(rw,[status(thm)],[544,58,theory(equality)])).
% cnf(700,plain,(multiplication(zero,X2)=multiplication(esk1_1(X1),multiplication(X1,X2))|~test(X1)),inference(spm,[status(thm)],[27,84,theory(equality)])).
% cnf(710,plain,(zero=multiplication(esk1_1(X1),multiplication(X1,X2))|~test(X1)),inference(rw,[status(thm)],[700,62,theory(equality)])).
% cnf(869,plain,(complement(X1,esk1_1(X1))|multiplication(esk1_1(X1),X1)!=zero|multiplication(X1,esk1_1(X1))!=zero|~test(X1)),inference(spm,[status(thm)],[124,82,theory(equality)])).
% cnf(2071,plain,(addition(multiplication(X1,X2),addition(X3,multiplication(X4,X2)))=addition(X3,multiplication(addition(X4,X1),X2))),inference(spm,[status(thm)],[119,35,theory(equality)])).
% cnf(2106,negated_conjecture,(addition(multiplication(addition(esk2_0,c(esk2_0)),esk3_0),addition(multiplication(addition(esk3_0,c(esk3_0)),esk2_0),multiplication(c(esk2_0),c(esk3_0))))!=one),inference(rw,[status(thm)],[inference(rw,[status(thm)],[98,119,theory(equality)]),21,theory(equality)])).
% cnf(2873,plain,(addition(X1,multiplication(X1,X2))=multiplication(X1,addition(X2,one))),inference(rw,[status(thm)],[145,21,theory(equality)])).
% cnf(2874,negated_conjecture,(addition(one,multiplication(esk3_0,addition(X1,one)))=addition(one,multiplication(esk3_0,X1))),inference(spm,[status(thm)],[497,2873,theory(equality)])).
% cnf(2876,negated_conjecture,(addition(one,multiplication(esk2_0,addition(X1,one)))=addition(one,multiplication(esk2_0,X1))),inference(spm,[status(thm)],[516,2873,theory(equality)])).
% cnf(4127,negated_conjecture,(addition(one,multiplication(esk3_0,addition(one,X1)))=addition(one,multiplication(esk3_0,X1))),inference(spm,[status(thm)],[2874,21,theory(equality)])).
% cnf(4256,negated_conjecture,(addition(one,multiplication(esk2_0,addition(one,X1)))=addition(one,multiplication(esk2_0,X1))),inference(spm,[status(thm)],[2876,21,theory(equality)])).
% cnf(5019,plain,(addition(X1,c(X1))=one|~test(X1)),inference(rw,[status(thm)],[235,21,theory(equality)])).
% cnf(5023,negated_conjecture,(addition(multiplication(addition(esk2_0,c(esk2_0)),esk3_0),addition(multiplication(one,esk2_0),multiplication(c(esk2_0),c(esk3_0))))!=one|~test(esk3_0)),inference(spm,[status(thm)],[2106,5019,theory(equality)])).
% cnf(5094,negated_conjecture,(addition(multiplication(addition(esk2_0,c(esk2_0)),esk3_0),addition(esk2_0,multiplication(c(esk2_0),c(esk3_0))))!=one|~test(esk3_0)),inference(rw,[status(thm)],[5023,31,theory(equality)])).
% cnf(5095,negated_conjecture,(addition(multiplication(addition(esk2_0,c(esk2_0)),esk3_0),addition(esk2_0,multiplication(c(esk2_0),c(esk3_0))))!=one|$false),inference(rw,[status(thm)],[5094,72,theory(equality)])).
% cnf(5096,negated_conjecture,(addition(multiplication(addition(esk2_0,c(esk2_0)),esk3_0),addition(esk2_0,multiplication(c(esk2_0),c(esk3_0))))!=one),inference(cn,[status(thm)],[5095,theory(equality)])).
% cnf(5189,negated_conjecture,(addition(esk2_0,addition(multiplication(addition(esk2_0,c(esk2_0)),esk3_0),multiplication(c(esk2_0),c(esk3_0))))!=one),inference(rw,[status(thm)],[5096,132,theory(equality)])).
% cnf(5193,negated_conjecture,(addition(esk2_0,addition(multiplication(one,esk3_0),multiplication(c(esk2_0),c(esk3_0))))!=one|~test(esk2_0)),inference(spm,[status(thm)],[5189,5019,theory(equality)])).
% cnf(5200,negated_conjecture,(addition(esk2_0,addition(esk3_0,multiplication(c(esk2_0),c(esk3_0))))!=one|~test(esk2_0)),inference(rw,[status(thm)],[5193,31,theory(equality)])).
% cnf(5201,negated_conjecture,(addition(esk2_0,addition(esk3_0,multiplication(c(esk2_0),c(esk3_0))))!=one|$false),inference(rw,[status(thm)],[5200,71,theory(equality)])).
% cnf(5202,negated_conjecture,(addition(esk2_0,addition(esk3_0,multiplication(c(esk2_0),c(esk3_0))))!=one),inference(cn,[status(thm)],[5201,theory(equality)])).
% cnf(8519,negated_conjecture,(addition(one,multiplication(esk3_0,one))=addition(one,multiplication(esk3_0,esk2_0))),inference(spm,[status(thm)],[4127,514,theory(equality)])).
% cnf(8604,negated_conjecture,(one=addition(one,multiplication(esk3_0,esk2_0))),inference(rw,[status(thm)],[inference(rw,[status(thm)],[8519,29,theory(equality)]),495,theory(equality)])).
% cnf(9065,negated_conjecture,(leq(multiplication(multiplication(esk3_0,esk2_0),X1),multiplication(one,X1))),inference(spm,[status(thm)],[269,8604,theory(equality)])).
% cnf(9124,negated_conjecture,(leq(multiplication(esk3_0,multiplication(esk2_0,X1)),X1)),inference(rw,[status(thm)],[inference(rw,[status(thm)],[9065,27,theory(equality)]),31,theory(equality)])).
% cnf(10553,negated_conjecture,(addition(multiplication(esk3_0,multiplication(esk2_0,X1)),X1)=X1),inference(spm,[status(thm)],[66,9124,theory(equality)])).
% cnf(12605,negated_conjecture,(addition(one,multiplication(esk2_0,one))=addition(one,multiplication(esk2_0,esk3_0))),inference(spm,[status(thm)],[4256,495,theory(equality)])).
% cnf(12714,negated_conjecture,(one=addition(one,multiplication(esk2_0,esk3_0))),inference(rw,[status(thm)],[inference(rw,[status(thm)],[12605,29,theory(equality)]),514,theory(equality)])).
% cnf(12781,negated_conjecture,(leq(multiplication(multiplication(esk2_0,esk3_0),X1),multiplication(one,X1))),inference(spm,[status(thm)],[269,12714,theory(equality)])).
% cnf(12855,negated_conjecture,(leq(multiplication(esk2_0,multiplication(esk3_0,X1)),X1)),inference(rw,[status(thm)],[inference(rw,[status(thm)],[12781,27,theory(equality)]),31,theory(equality)])).
% cnf(15374,negated_conjecture,(addition(multiplication(esk2_0,multiplication(esk3_0,X1)),X1)=X1),inference(spm,[status(thm)],[66,12855,theory(equality)])).
% cnf(15542,negated_conjecture,(leq(multiplication(X1,esk2_0),addition(X2,multiplication(X1,one)))),inference(spm,[status(thm)],[419,514,theory(equality)])).
% cnf(15644,negated_conjecture,(leq(multiplication(X1,esk2_0),addition(X2,X1))),inference(rw,[status(thm)],[15542,29,theory(equality)])).
% cnf(16687,negated_conjecture,(addition(multiplication(X1,esk2_0),addition(X2,X1))=addition(X2,X1)),inference(spm,[status(thm)],[66,15644,theory(equality)])).
% cnf(24117,plain,(multiplication(X1,one)=multiplication(X1,X1)|~test(X1)),inference(spm,[status(thm)],[551,82,theory(equality)])).
% cnf(24191,plain,(X1=multiplication(X1,X1)|~test(X1)),inference(rw,[status(thm)],[24117,29,theory(equality)])).
% cnf(28765,negated_conjecture,(addition(X1,multiplication(esk3_0,multiplication(esk2_0,X1)))=X1),inference(rw,[status(thm)],[10553,21,theory(equality)])).
% cnf(30644,negated_conjecture,(multiplication(esk3_0,esk3_0)=esk3_0),inference(spm,[status(thm)],[24191,72,theory(equality)])).
% cnf(30645,negated_conjecture,(multiplication(esk2_0,esk2_0)=esk2_0),inference(spm,[status(thm)],[24191,71,theory(equality)])).
% cnf(30692,negated_conjecture,(multiplication(esk3_0,X1)=multiplication(esk3_0,multiplication(esk3_0,X1))),inference(spm,[status(thm)],[27,30644,theory(equality)])).
% cnf(30705,negated_conjecture,(multiplication(esk3_0,multiplication(esk3_0,esk1_1(esk3_0)))=zero|~test(esk3_0)),inference(spm,[status(thm)],[539,30644,theory(equality)])).
% cnf(30706,negated_conjecture,(multiplication(esk1_1(esk3_0),esk3_0)=zero|~test(esk3_0)),inference(spm,[status(thm)],[710,30644,theory(equality)])).
% cnf(30757,negated_conjecture,(multiplication(esk3_0,multiplication(esk3_0,esk1_1(esk3_0)))=zero|$false),inference(rw,[status(thm)],[30705,72,theory(equality)])).
% cnf(30758,negated_conjecture,(multiplication(esk3_0,multiplication(esk3_0,esk1_1(esk3_0)))=zero),inference(cn,[status(thm)],[30757,theory(equality)])).
% cnf(30759,negated_conjecture,(multiplication(esk1_1(esk3_0),esk3_0)=zero|$false),inference(rw,[status(thm)],[30706,72,theory(equality)])).
% cnf(30760,negated_conjecture,(multiplication(esk1_1(esk3_0),esk3_0)=zero),inference(cn,[status(thm)],[30759,theory(equality)])).
% cnf(30785,negated_conjecture,(multiplication(esk2_0,X1)=multiplication(esk2_0,multiplication(esk2_0,X1))),inference(spm,[status(thm)],[27,30645,theory(equality)])).
% cnf(30798,negated_conjecture,(multiplication(esk2_0,multiplication(esk2_0,esk1_1(esk2_0)))=zero|~test(esk2_0)),inference(spm,[status(thm)],[539,30645,theory(equality)])).
% cnf(30799,negated_conjecture,(multiplication(esk1_1(esk2_0),esk2_0)=zero|~test(esk2_0)),inference(spm,[status(thm)],[710,30645,theory(equality)])).
% cnf(30851,negated_conjecture,(multiplication(esk2_0,multiplication(esk2_0,esk1_1(esk2_0)))=zero|$false),inference(rw,[status(thm)],[30798,71,theory(equality)])).
% cnf(30852,negated_conjecture,(multiplication(esk2_0,multiplication(esk2_0,esk1_1(esk2_0)))=zero),inference(cn,[status(thm)],[30851,theory(equality)])).
% cnf(30853,negated_conjecture,(multiplication(esk1_1(esk2_0),esk2_0)=zero|$false),inference(rw,[status(thm)],[30799,71,theory(equality)])).
% cnf(30854,negated_conjecture,(multiplication(esk1_1(esk2_0),esk2_0)=zero),inference(cn,[status(thm)],[30853,theory(equality)])).
% cnf(30881,negated_conjecture,(addition(zero,multiplication(esk1_1(esk3_0),X1))=multiplication(esk1_1(esk3_0),addition(esk3_0,X1))),inference(spm,[status(thm)],[33,30760,theory(equality)])).
% cnf(30918,negated_conjecture,(multiplication(esk1_1(esk3_0),X1)=multiplication(esk1_1(esk3_0),addition(esk3_0,X1))),inference(rw,[status(thm)],[30881,120,theory(equality)])).
% cnf(31221,negated_conjecture,(addition(zero,multiplication(esk1_1(esk2_0),X1))=multiplication(esk1_1(esk2_0),addition(esk2_0,X1))),inference(spm,[status(thm)],[33,30854,theory(equality)])).
% cnf(31259,negated_conjecture,(multiplication(esk1_1(esk2_0),X1)=multiplication(esk1_1(esk2_0),addition(esk2_0,X1))),inference(rw,[status(thm)],[31221,120,theory(equality)])).
% cnf(31535,negated_conjecture,(multiplication(esk3_0,esk1_1(esk3_0))=zero),inference(rw,[status(thm)],[30758,30692,theory(equality)])).
% cnf(31540,negated_conjecture,(addition(zero,multiplication(X1,esk1_1(esk3_0)))=multiplication(addition(esk3_0,X1),esk1_1(esk3_0))),inference(spm,[status(thm)],[35,31535,theory(equality)])).
% cnf(31584,negated_conjecture,(multiplication(X1,esk1_1(esk3_0))=multiplication(addition(esk3_0,X1),esk1_1(esk3_0))),inference(rw,[status(thm)],[31540,120,theory(equality)])).
% cnf(31952,negated_conjecture,(multiplication(esk2_0,esk1_1(esk2_0))=zero),inference(rw,[status(thm)],[30852,30785,theory(equality)])).
% cnf(31956,negated_conjecture,(addition(zero,multiplication(esk2_0,X1))=multiplication(esk2_0,addition(esk1_1(esk2_0),X1))),inference(spm,[status(thm)],[33,31952,theory(equality)])).
% cnf(31957,negated_conjecture,(addition(zero,multiplication(X1,esk1_1(esk2_0)))=multiplication(addition(esk2_0,X1),esk1_1(esk2_0))),inference(spm,[status(thm)],[35,31952,theory(equality)])).
% cnf(31997,negated_conjecture,(multiplication(esk2_0,X1)=multiplication(esk2_0,addition(esk1_1(esk2_0),X1))),inference(rw,[status(thm)],[31956,120,theory(equality)])).
% cnf(31998,negated_conjecture,(multiplication(X1,esk1_1(esk2_0))=multiplication(addition(esk2_0,X1),esk1_1(esk2_0))),inference(rw,[status(thm)],[31957,120,theory(equality)])).
% cnf(35144,negated_conjecture,(multiplication(esk1_1(esk2_0),esk2_0)=multiplication(esk1_1(esk2_0),multiplication(esk3_0,multiplication(esk2_0,esk2_0)))),inference(spm,[status(thm)],[31259,28765,theory(equality)])).
% cnf(35198,negated_conjecture,(zero=multiplication(esk1_1(esk2_0),multiplication(esk3_0,multiplication(esk2_0,esk2_0)))),inference(rw,[status(thm)],[35144,30854,theory(equality)])).
% cnf(35199,negated_conjecture,(zero=multiplication(esk1_1(esk2_0),multiplication(esk3_0,esk2_0))),inference(rw,[status(thm)],[35198,30645,theory(equality)])).
% cnf(36295,negated_conjecture,(multiplication(one,esk1_1(esk3_0))=multiplication(c(esk3_0),esk1_1(esk3_0))|~test(esk3_0)),inference(spm,[status(thm)],[31584,5019,theory(equality)])).
% cnf(36349,negated_conjecture,(esk1_1(esk3_0)=multiplication(c(esk3_0),esk1_1(esk3_0))|~test(esk3_0)),inference(rw,[status(thm)],[36295,31,theory(equality)])).
% cnf(36350,negated_conjecture,(esk1_1(esk3_0)=multiplication(c(esk3_0),esk1_1(esk3_0))|$false),inference(rw,[status(thm)],[36349,72,theory(equality)])).
% cnf(36351,negated_conjecture,(esk1_1(esk3_0)=multiplication(c(esk3_0),esk1_1(esk3_0))),inference(cn,[status(thm)],[36350,theory(equality)])).
% cnf(37015,negated_conjecture,(multiplication(one,esk1_1(esk2_0))=multiplication(c(esk2_0),esk1_1(esk2_0))|~test(esk2_0)),inference(spm,[status(thm)],[31998,5019,theory(equality)])).
% cnf(37069,negated_conjecture,(esk1_1(esk2_0)=multiplication(c(esk2_0),esk1_1(esk2_0))|~test(esk2_0)),inference(rw,[status(thm)],[37015,31,theory(equality)])).
% cnf(37070,negated_conjecture,(esk1_1(esk2_0)=multiplication(c(esk2_0),esk1_1(esk2_0))|$false),inference(rw,[status(thm)],[37069,71,theory(equality)])).
% cnf(37071,negated_conjecture,(esk1_1(esk2_0)=multiplication(c(esk2_0),esk1_1(esk2_0))),inference(cn,[status(thm)],[37070,theory(equality)])).
% cnf(39103,plain,(complement(X1,esk1_1(X1))|multiplication(esk1_1(X1),X1)!=zero|~test(X1)),inference(csr,[status(thm)],[869,83])).
% cnf(39104,plain,(complement(X1,esk1_1(X1))|~test(X1)),inference(csr,[status(thm)],[39103,84])).
% cnf(39105,plain,(test(esk1_1(X1))|~test(X1)),inference(spm,[status(thm)],[56,39104,theory(equality)])).
% cnf(39108,plain,(c(X1)=esk1_1(X1)|~test(X1)),inference(spm,[status(thm)],[42,39104,theory(equality)])).
% cnf(39162,negated_conjecture,(multiplication(c(esk3_0),addition(esk3_0,X1))=multiplication(c(esk3_0),X1)|~test(esk3_0)),inference(spm,[status(thm)],[30918,39108,theory(equality)])).
% cnf(39208,negated_conjecture,(multiplication(c(esk2_0),addition(esk2_0,X1))=multiplication(c(esk2_0),X1)|~test(esk2_0)),inference(spm,[status(thm)],[31259,39108,theory(equality)])).
% cnf(39230,negated_conjecture,(multiplication(esk2_0,c(esk2_0))=zero|~test(esk2_0)),inference(spm,[status(thm)],[31952,39108,theory(equality)])).
% cnf(39238,negated_conjecture,(multiplication(c(esk2_0),multiplication(esk3_0,esk2_0))=zero|~test(esk2_0)),inference(spm,[status(thm)],[35199,39108,theory(equality)])).
% cnf(39361,negated_conjecture,(multiplication(c(esk3_0),addition(esk3_0,X1))=multiplication(c(esk3_0),X1)|$false),inference(rw,[status(thm)],[39162,72,theory(equality)])).
% cnf(39362,negated_conjecture,(multiplication(c(esk3_0),addition(esk3_0,X1))=multiplication(c(esk3_0),X1)),inference(cn,[status(thm)],[39361,theory(equality)])).
% cnf(39481,negated_conjecture,(multiplication(c(esk2_0),addition(esk2_0,X1))=multiplication(c(esk2_0),X1)|$false),inference(rw,[status(thm)],[39208,71,theory(equality)])).
% cnf(39482,negated_conjecture,(multiplication(c(esk2_0),addition(esk2_0,X1))=multiplication(c(esk2_0),X1)),inference(cn,[status(thm)],[39481,theory(equality)])).
% cnf(39536,negated_conjecture,(multiplication(esk2_0,c(esk2_0))=zero|$false),inference(rw,[status(thm)],[39230,71,theory(equality)])).
% cnf(39537,negated_conjecture,(multiplication(esk2_0,c(esk2_0))=zero),inference(cn,[status(thm)],[39536,theory(equality)])).
% cnf(39556,negated_conjecture,(multiplication(c(esk2_0),multiplication(esk3_0,esk2_0))=zero|$false),inference(rw,[status(thm)],[39238,71,theory(equality)])).
% cnf(39557,negated_conjecture,(multiplication(c(esk2_0),multiplication(esk3_0,esk2_0))=zero),inference(cn,[status(thm)],[39556,theory(equality)])).
% cnf(39749,negated_conjecture,(addition(zero,multiplication(esk2_0,X1))=multiplication(esk2_0,addition(c(esk2_0),X1))),inference(spm,[status(thm)],[33,39537,theory(equality)])).
% cnf(39794,negated_conjecture,(multiplication(esk2_0,X1)=multiplication(esk2_0,addition(c(esk2_0),X1))),inference(rw,[status(thm)],[39749,120,theory(equality)])).
% cnf(41097,negated_conjecture,(addition(zero,multiplication(X1,multiplication(esk3_0,esk2_0)))=multiplication(addition(c(esk2_0),X1),multiplication(esk3_0,esk2_0))),inference(spm,[status(thm)],[35,39557,theory(equality)])).
% cnf(41134,negated_conjecture,(multiplication(X1,multiplication(esk3_0,esk2_0))=multiplication(addition(c(esk2_0),X1),multiplication(esk3_0,esk2_0))),inference(rw,[status(thm)],[41097,120,theory(equality)])).
% cnf(41523,negated_conjecture,(addition(X1,multiplication(esk2_0,multiplication(esk3_0,X1)))=X1),inference(rw,[status(thm)],[15374,21,theory(equality)])).
% cnf(41554,negated_conjecture,(multiplication(esk2_0,esk1_1(esk2_0))=multiplication(esk2_0,multiplication(esk2_0,multiplication(esk3_0,esk1_1(esk2_0))))),inference(spm,[status(thm)],[31997,41523,theory(equality)])).
% cnf(41763,negated_conjecture,(zero=multiplication(esk2_0,multiplication(esk2_0,multiplication(esk3_0,esk1_1(esk2_0))))),inference(rw,[status(thm)],[41554,31952,theory(equality)])).
% cnf(41764,negated_conjecture,(zero=multiplication(esk2_0,multiplication(esk3_0,esk1_1(esk2_0)))),inference(rw,[status(thm)],[41763,30785,theory(equality)])).
% cnf(42047,negated_conjecture,(multiplication(esk2_0,multiplication(esk3_0,c(esk2_0)))=zero|~test(esk2_0)),inference(spm,[status(thm)],[41764,39108,theory(equality)])).
% cnf(42103,negated_conjecture,(multiplication(esk2_0,multiplication(esk3_0,c(esk2_0)))=zero|$false),inference(rw,[status(thm)],[42047,71,theory(equality)])).
% cnf(42104,negated_conjecture,(multiplication(esk2_0,multiplication(esk3_0,c(esk2_0)))=zero),inference(cn,[status(thm)],[42103,theory(equality)])).
% cnf(42773,negated_conjecture,(multiplication(c(esk3_0),one)=multiplication(c(esk3_0),esk1_1(esk3_0))|~test(esk3_0)),inference(spm,[status(thm)],[39362,82,theory(equality)])).
% cnf(42825,negated_conjecture,(c(esk3_0)=multiplication(c(esk3_0),esk1_1(esk3_0))|~test(esk3_0)),inference(rw,[status(thm)],[42773,29,theory(equality)])).
% cnf(42826,negated_conjecture,(c(esk3_0)=esk1_1(esk3_0)|~test(esk3_0)),inference(rw,[status(thm)],[42825,36351,theory(equality)])).
% cnf(42827,negated_conjecture,(c(esk3_0)=esk1_1(esk3_0)|$false),inference(rw,[status(thm)],[42826,72,theory(equality)])).
% cnf(42828,negated_conjecture,(c(esk3_0)=esk1_1(esk3_0)),inference(cn,[status(thm)],[42827,theory(equality)])).
% cnf(43092,negated_conjecture,(addition(esk3_0,c(esk3_0))=one|~test(esk3_0)),inference(spm,[status(thm)],[82,42828,theory(equality)])).
% cnf(43191,negated_conjecture,(addition(esk3_0,c(esk3_0))=one|$false),inference(rw,[status(thm)],[43092,72,theory(equality)])).
% cnf(43192,negated_conjecture,(addition(esk3_0,c(esk3_0))=one),inference(cn,[status(thm)],[43191,theory(equality)])).
% cnf(44390,negated_conjecture,(multiplication(c(esk2_0),one)=multiplication(c(esk2_0),esk1_1(esk2_0))|~test(esk2_0)),inference(spm,[status(thm)],[39482,82,theory(equality)])).
% cnf(44442,negated_conjecture,(c(esk2_0)=multiplication(c(esk2_0),esk1_1(esk2_0))|~test(esk2_0)),inference(rw,[status(thm)],[44390,29,theory(equality)])).
% cnf(44443,negated_conjecture,(c(esk2_0)=esk1_1(esk2_0)|~test(esk2_0)),inference(rw,[status(thm)],[44442,37071,theory(equality)])).
% cnf(44444,negated_conjecture,(c(esk2_0)=esk1_1(esk2_0)|$false),inference(rw,[status(thm)],[44443,71,theory(equality)])).
% cnf(44445,negated_conjecture,(c(esk2_0)=esk1_1(esk2_0)),inference(cn,[status(thm)],[44444,theory(equality)])).
% cnf(44464,negated_conjecture,(addition(esk2_0,c(esk2_0))=one|~test(esk2_0)),inference(spm,[status(thm)],[82,44445,theory(equality)])).
% cnf(44485,negated_conjecture,(test(c(esk2_0))|~test(esk2_0)),inference(spm,[status(thm)],[39105,44445,theory(equality)])).
% cnf(44562,negated_conjecture,(addition(esk2_0,c(esk2_0))=one|$false),inference(rw,[status(thm)],[44464,71,theory(equality)])).
% cnf(44563,negated_conjecture,(addition(esk2_0,c(esk2_0))=one),inference(cn,[status(thm)],[44562,theory(equality)])).
% cnf(44612,negated_conjecture,(test(c(esk2_0))|$false),inference(rw,[status(thm)],[44485,71,theory(equality)])).
% cnf(44613,negated_conjecture,(test(c(esk2_0))),inference(cn,[status(thm)],[44612,theory(equality)])).
% cnf(44733,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)],[552,44563,theory(equality)])).
% cnf(44839,negated_conjecture,(esk1_1(c(esk2_0))=multiplication(esk2_0,esk1_1(c(esk2_0)))|~test(c(esk2_0))),inference(rw,[status(thm)],[44733,31,theory(equality)])).
% cnf(44840,negated_conjecture,(esk1_1(c(esk2_0))=multiplication(esk2_0,esk1_1(c(esk2_0)))|$false),inference(rw,[status(thm)],[44839,44613,theory(equality)])).
% cnf(44841,negated_conjecture,(esk1_1(c(esk2_0))=multiplication(esk2_0,esk1_1(c(esk2_0)))),inference(cn,[status(thm)],[44840,theory(equality)])).
% cnf(46980,negated_conjecture,(multiplication(esk2_0,one)=multiplication(esk2_0,esk1_1(c(esk2_0)))|~test(c(esk2_0))),inference(spm,[status(thm)],[39794,82,theory(equality)])).
% cnf(47052,negated_conjecture,(esk2_0=multiplication(esk2_0,esk1_1(c(esk2_0)))|~test(c(esk2_0))),inference(rw,[status(thm)],[46980,29,theory(equality)])).
% cnf(47053,negated_conjecture,(esk2_0=esk1_1(c(esk2_0))|~test(c(esk2_0))),inference(rw,[status(thm)],[47052,44841,theory(equality)])).
% cnf(47054,negated_conjecture,(esk2_0=esk1_1(c(esk2_0))|$false),inference(rw,[status(thm)],[47053,44613,theory(equality)])).
% cnf(47055,negated_conjecture,(esk2_0=esk1_1(c(esk2_0))),inference(cn,[status(thm)],[47054,theory(equality)])).
% cnf(80396,negated_conjecture,(addition(X1,addition(multiplication(X1,esk2_0),X2))=addition(X2,X1)),inference(rw,[status(thm)],[16687,119,theory(equality)])).
% cnf(80564,negated_conjecture,(addition(X1,addition(X2,multiplication(X1,esk2_0)))=addition(addition(multiplication(multiplication(X1,esk2_0),esk2_0),X2),X1)),inference(spm,[status(thm)],[80396,80396,theory(equality)])).
% cnf(81012,negated_conjecture,(addition(X1,addition(X2,multiplication(X1,esk2_0)))=addition(X2,X1)),inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[80564,27,theory(equality)]),30645,theory(equality)]),23,theory(equality)]),119,theory(equality)]),80396,theory(equality)])).
% cnf(152903,negated_conjecture,(multiplication(one,multiplication(esk3_0,esk2_0))=multiplication(esk1_1(c(esk2_0)),multiplication(esk3_0,esk2_0))|~test(c(esk2_0))),inference(spm,[status(thm)],[41134,82,theory(equality)])).
% cnf(153010,negated_conjecture,(multiplication(esk3_0,esk2_0)=multiplication(esk1_1(c(esk2_0)),multiplication(esk3_0,esk2_0))|~test(c(esk2_0))),inference(rw,[status(thm)],[152903,31,theory(equality)])).
% cnf(153011,negated_conjecture,(multiplication(esk3_0,esk2_0)=multiplication(esk2_0,multiplication(esk3_0,esk2_0))|~test(c(esk2_0))),inference(rw,[status(thm)],[153010,47055,theory(equality)])).
% cnf(153012,negated_conjecture,(multiplication(esk3_0,esk2_0)=multiplication(esk2_0,multiplication(esk3_0,esk2_0))|$false),inference(rw,[status(thm)],[153011,44613,theory(equality)])).
% cnf(153013,negated_conjecture,(multiplication(esk3_0,esk2_0)=multiplication(esk2_0,multiplication(esk3_0,esk2_0))),inference(cn,[status(thm)],[153012,theory(equality)])).
% cnf(153059,negated_conjecture,(addition(multiplication(esk3_0,esk2_0),multiplication(esk2_0,X1))=multiplication(esk2_0,addition(multiplication(esk3_0,esk2_0),X1))),inference(spm,[status(thm)],[33,153013,theory(equality)])).
% cnf(154641,negated_conjecture,(addition(multiplication(esk3_0,esk2_0),zero)=multiplication(esk2_0,addition(multiplication(esk3_0,esk2_0),multiplication(esk3_0,c(esk2_0))))),inference(spm,[status(thm)],[153059,42104,theory(equality)])).
% cnf(154843,negated_conjecture,(multiplication(esk3_0,esk2_0)=multiplication(esk2_0,addition(multiplication(esk3_0,esk2_0),multiplication(esk3_0,c(esk2_0))))),inference(rw,[status(thm)],[154641,58,theory(equality)])).
% cnf(154844,negated_conjecture,(multiplication(esk3_0,esk2_0)=multiplication(esk2_0,esk3_0)),inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[154843,33,theory(equality)]),44563,theory(equality)]),29,theory(equality)])).
% cnf(191363,negated_conjecture,(addition(esk3_0,addition(X1,multiplication(esk2_0,esk3_0)))=addition(X1,esk3_0)),inference(spm,[status(thm)],[81012,154844,theory(equality)])).
% cnf(192507,negated_conjecture,(addition(esk3_0,multiplication(esk2_0,addition(X1,esk3_0)))=addition(multiplication(esk2_0,X1),esk3_0)),inference(spm,[status(thm)],[191363,33,theory(equality)])).
% cnf(192899,negated_conjecture,(addition(esk3_0,multiplication(esk2_0,addition(X1,esk3_0)))=addition(esk3_0,multiplication(esk2_0,X1))),inference(rw,[status(thm)],[192507,21,theory(equality)])).
% cnf(195072,negated_conjecture,(addition(esk3_0,multiplication(esk2_0,addition(esk3_0,X1)))=addition(esk3_0,multiplication(esk2_0,X1))),inference(spm,[status(thm)],[192899,21,theory(equality)])).
% cnf(197090,negated_conjecture,(addition(esk3_0,multiplication(esk2_0,one))=addition(esk3_0,multiplication(esk2_0,esk1_1(esk3_0)))|~test(esk3_0)),inference(spm,[status(thm)],[195072,82,theory(equality)])).
% cnf(197326,negated_conjecture,(addition(esk2_0,esk3_0)=addition(esk3_0,multiplication(esk2_0,esk1_1(esk3_0)))|~test(esk3_0)),inference(rw,[status(thm)],[inference(rw,[status(thm)],[197090,29,theory(equality)]),21,theory(equality)])).
% cnf(197327,negated_conjecture,(addition(esk2_0,esk3_0)=addition(esk3_0,multiplication(esk2_0,c(esk3_0)))|~test(esk3_0)),inference(rw,[status(thm)],[197326,42828,theory(equality)])).
% cnf(197328,negated_conjecture,(addition(esk2_0,esk3_0)=addition(esk3_0,multiplication(esk2_0,c(esk3_0)))|$false),inference(rw,[status(thm)],[197327,72,theory(equality)])).
% cnf(197329,negated_conjecture,(addition(esk2_0,esk3_0)=addition(esk3_0,multiplication(esk2_0,c(esk3_0)))),inference(cn,[status(thm)],[197328,theory(equality)])).
% cnf(197600,negated_conjecture,(addition(multiplication(X1,c(esk3_0)),addition(esk2_0,esk3_0))=addition(esk3_0,multiplication(addition(esk2_0,X1),c(esk3_0)))),inference(spm,[status(thm)],[2071,197329,theory(equality)])).
% cnf(332729,negated_conjecture,(addition(esk2_0,addition(esk3_0,multiplication(X1,c(esk3_0))))=addition(esk3_0,multiplication(addition(esk2_0,X1),c(esk3_0)))),inference(rw,[status(thm)],[inference(rw,[status(thm)],[197600,132,theory(equality)]),21,theory(equality)])).
% cnf(333011,negated_conjecture,(addition(esk3_0,multiplication(one,c(esk3_0)))=addition(esk2_0,addition(esk3_0,multiplication(esk1_1(esk2_0),c(esk3_0))))|~test(esk2_0)),inference(spm,[status(thm)],[332729,82,theory(equality)])).
% cnf(333305,negated_conjecture,(one=addition(esk2_0,addition(esk3_0,multiplication(esk1_1(esk2_0),c(esk3_0))))|~test(esk2_0)),inference(rw,[status(thm)],[inference(rw,[status(thm)],[333011,31,theory(equality)]),43192,theory(equality)])).
% cnf(333306,negated_conjecture,(one=addition(esk2_0,addition(esk3_0,multiplication(c(esk2_0),c(esk3_0))))|~test(esk2_0)),inference(rw,[status(thm)],[333305,44445,theory(equality)])).
% cnf(333307,negated_conjecture,(one=addition(esk2_0,addition(esk3_0,multiplication(c(esk2_0),c(esk3_0))))|$false),inference(rw,[status(thm)],[333306,71,theory(equality)])).
% cnf(333308,negated_conjecture,(one=addition(esk2_0,addition(esk3_0,multiplication(c(esk2_0),c(esk3_0))))),inference(cn,[status(thm)],[333307,theory(equality)])).
% cnf(333309,negated_conjecture,($false),inference(sr,[status(thm)],[333308,5202,theory(equality)])).
% cnf(333310,negated_conjecture,($false),333309,['proof']).
% # SZS output end CNFRefutation
% # Processed clauses : 10630
% # ...of these trivial : 2375
% # ...subsumed : 6713
% # ...remaining for further processing: 1542
% # Other redundant clauses eliminated : 2
% # Clauses deleted for lack of memory : 0
% # Backward-subsumed : 5
% # Backward-rewritten : 353
% # Generated clauses : 161480
% # ...of the previous two non-trivial : 103100
% # Contextual simplify-reflections : 291
% # Paramodulations : 161458
% # Factorizations : 0
% # Equation resolutions : 22
% # Current number of processed clauses: 1184
% # Positive orientable unit clauses: 687
% # Positive unorientable unit clauses: 12
% # Negative unit clauses : 1
% # Non-unit-clauses : 484
% # Current number of unprocessed clauses: 77946
% # ...number of literals in the above : 133762
% # Clause-clause subsumption calls (NU) : 34880
% # Rec. Clause-clause subsumption calls : 34302
% # Unit Clause-clause subsumption calls : 218
% # Rewrite failures with RHS unbound : 0
% # Indexed BW rewrite attempts : 2527
% # Indexed BW rewrite successes : 433
% # Backwards rewriting index: 850 leaves, 1.76+/-1.628 terms/leaf
% # Paramod-from index: 506 leaves, 1.65+/-1.212 terms/leaf
% # Paramod-into index: 676 leaves, 1.75+/-1.575 terms/leaf
% # -------------------------------------------------
% # User time : 4.355 s
% # System time : 0.190 s
% # Total time : 4.545 s
% # Maximum resident set size: 0 pages
% PrfWatch: 8.72 CPU 8.92 WC
% FINAL PrfWatch: 8.72 CPU 8.92 WC
% SZS output end Solution for /tmp/SystemOnTPTP24607/KLE011+1.tptp
%
%------------------------------------------------------------------------------