TSTP Solution File: KLE011+2 by SRASS---0.1
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- Process Solution
%------------------------------------------------------------------------------
% File : SRASS---0.1
% Problem : KLE011+2 : TPTP v5.0.0. Released v4.0.0.
% Transfm : none
% Format : tptp
% Command : SRASS -q2 -a 0 10 10 10 -i3 -n60 %s
% Computer : art07.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 07:31:52 EST 2010
% Result : Theorem 10.60s
% Output : Solution 10.60s
% 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/SystemOnTPTP19548/KLE011+2.tptp
% Adding relevance values
% Extracting the conjecture
% Sorting axioms by relevance
% Looking for THM ...
% found
% SZS status THM for /tmp/SystemOnTPTP19548/KLE011+2.tptp
% SZS output start Solution for /tmp/SystemOnTPTP19548/KLE011+2.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 19644
% TreeLimitedRun: ----------------------------------------------------------
% PrfWatch: 0.00 CPU 0.00 WC
% PrfWatch: 1.91 CPU 2.01 WC
% PrfWatch: 3.90 CPU 4.01 WC
% # Preprocessing time : 0.011 s
% # Problem is unsatisfiable (or provable), constructing proof object
% # SZS status Theorem
% PrfWatch: 5.88 CPU 6.02 WC
% PrfWatch: 7.88 CPU 8.02 WC
% # SZS output start CNFRefutation.
% fof(1, axiom,![X1]:![X2]:(leq(X1,X2)<=>addition(X1,X2)=X2),file('/tmp/SRASS.s.p', order)).
% fof(2, axiom,![X1]:multiplication(X1,one)=X1,file('/tmp/SRASS.s.p', multiplicative_right_identity)).
% fof(3, axiom,![X1]:multiplication(one,X1)=X1,file('/tmp/SRASS.s.p', multiplicative_left_identity)).
% fof(4, axiom,![X1]:![X2]:![X3]:multiplication(X1,addition(X2,X3))=addition(multiplication(X1,X2),multiplication(X1,X3)),file('/tmp/SRASS.s.p', right_distributivity)).
% fof(5, axiom,![X1]:![X2]:![X3]:multiplication(addition(X1,X2),X3)=addition(multiplication(X1,X3),multiplication(X2,X3)),file('/tmp/SRASS.s.p', left_distributivity)).
% fof(6, axiom,![X1]:![X2]:addition(X1,X2)=addition(X2,X1),file('/tmp/SRASS.s.p', additive_commutativity)).
% fof(7, axiom,![X3]:![X2]:![X1]:addition(X1,addition(X2,X3))=addition(addition(X1,X2),X3),file('/tmp/SRASS.s.p', additive_associativity)).
% fof(8, axiom,![X1]:addition(X1,X1)=X1,file('/tmp/SRASS.s.p', additive_idempotence)).
% fof(9, axiom,![X1]:![X2]:![X3]:multiplication(X1,multiplication(X2,X3))=multiplication(multiplication(X1,X2),X3),file('/tmp/SRASS.s.p', multiplicative_associativity)).
% fof(11, axiom,![X4]:![X5]:(test(X4)=>(c(X4)=X5<=>complement(X4,X5))),file('/tmp/SRASS.s.p', test_3)).
% fof(12, 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(13, axiom,![X4]:(test(X4)<=>?[X5]:complement(X5,X4)),file('/tmp/SRASS.s.p', test_1)).
% fof(14, axiom,![X1]:addition(X1,zero)=X1,file('/tmp/SRASS.s.p', additive_identity)).
% fof(17, conjecture,![X4]:![X5]:((test(X5)&test(X4))=>(leq(one,addition(addition(multiplication(addition(X5,c(X5)),X4),multiplication(addition(X4,c(X4)),X5)),multiplication(c(X4),c(X5))))&leq(addition(addition(multiplication(addition(X5,c(X5)),X4),multiplication(addition(X4,c(X4)),X5)),multiplication(c(X4),c(X5))),one))),file('/tmp/SRASS.s.p', goals)).
% fof(18, negated_conjecture,~(![X4]:![X5]:((test(X5)&test(X4))=>(leq(one,addition(addition(multiplication(addition(X5,c(X5)),X4),multiplication(addition(X4,c(X4)),X5)),multiplication(c(X4),c(X5))))&leq(addition(addition(multiplication(addition(X5,c(X5)),X4),multiplication(addition(X4,c(X4)),X5)),multiplication(c(X4),c(X5))),one)))),inference(assume_negation,[status(cth)],[17])).
% fof(20, plain,![X1]:![X2]:((~(leq(X1,X2))|addition(X1,X2)=X2)&(~(addition(X1,X2)=X2)|leq(X1,X2))),inference(fof_nnf,[status(thm)],[1])).
% fof(21, plain,![X3]:![X4]:((~(leq(X3,X4))|addition(X3,X4)=X4)&(~(addition(X3,X4)=X4)|leq(X3,X4))),inference(variable_rename,[status(thm)],[20])).
% cnf(22,plain,(leq(X1,X2)|addition(X1,X2)!=X2),inference(split_conjunct,[status(thm)],[21])).
% cnf(23,plain,(addition(X1,X2)=X2|~leq(X1,X2)),inference(split_conjunct,[status(thm)],[21])).
% fof(24, plain,![X2]:multiplication(X2,one)=X2,inference(variable_rename,[status(thm)],[2])).
% cnf(25,plain,(multiplication(X1,one)=X1),inference(split_conjunct,[status(thm)],[24])).
% fof(26, plain,![X2]:multiplication(one,X2)=X2,inference(variable_rename,[status(thm)],[3])).
% cnf(27,plain,(multiplication(one,X1)=X1),inference(split_conjunct,[status(thm)],[26])).
% fof(28, plain,![X4]:![X5]:![X6]:multiplication(X4,addition(X5,X6))=addition(multiplication(X4,X5),multiplication(X4,X6)),inference(variable_rename,[status(thm)],[4])).
% cnf(29,plain,(multiplication(X1,addition(X2,X3))=addition(multiplication(X1,X2),multiplication(X1,X3))),inference(split_conjunct,[status(thm)],[28])).
% fof(30, plain,![X4]:![X5]:![X6]:multiplication(addition(X4,X5),X6)=addition(multiplication(X4,X6),multiplication(X5,X6)),inference(variable_rename,[status(thm)],[5])).
% cnf(31,plain,(multiplication(addition(X1,X2),X3)=addition(multiplication(X1,X3),multiplication(X2,X3))),inference(split_conjunct,[status(thm)],[30])).
% fof(32, plain,![X3]:![X4]:addition(X3,X4)=addition(X4,X3),inference(variable_rename,[status(thm)],[6])).
% cnf(33,plain,(addition(X1,X2)=addition(X2,X1)),inference(split_conjunct,[status(thm)],[32])).
% fof(34, plain,![X4]:![X5]:![X6]:addition(X6,addition(X5,X4))=addition(addition(X6,X5),X4),inference(variable_rename,[status(thm)],[7])).
% cnf(35,plain,(addition(X1,addition(X2,X3))=addition(addition(X1,X2),X3)),inference(split_conjunct,[status(thm)],[34])).
% fof(36, plain,![X2]:addition(X2,X2)=X2,inference(variable_rename,[status(thm)],[8])).
% 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)],[9])).
% cnf(39,plain,(multiplication(X1,multiplication(X2,X3))=multiplication(multiplication(X1,X2),X3)),inference(split_conjunct,[status(thm)],[38])).
% fof(43, plain,![X4]:![X5]:(~(test(X4))|((~(c(X4)=X5)|complement(X4,X5))&(~(complement(X4,X5))|c(X4)=X5))),inference(fof_nnf,[status(thm)],[11])).
% fof(44, plain,![X6]:![X7]:(~(test(X6))|((~(c(X6)=X7)|complement(X6,X7))&(~(complement(X6,X7))|c(X6)=X7))),inference(variable_rename,[status(thm)],[43])).
% fof(45, plain,![X6]:![X7]:(((~(c(X6)=X7)|complement(X6,X7))|~(test(X6)))&((~(complement(X6,X7))|c(X6)=X7)|~(test(X6)))),inference(distribute,[status(thm)],[44])).
% cnf(47,plain,(complement(X1,X2)|~test(X1)|c(X1)!=X2),inference(split_conjunct,[status(thm)],[45])).
% fof(48, 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)],[12])).
% fof(49, 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)],[48])).
% fof(50, 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)],[49])).
% cnf(51,plain,(complement(X1,X2)|addition(X2,X1)!=one|multiplication(X1,X2)!=zero|multiplication(X2,X1)!=zero),inference(split_conjunct,[status(thm)],[50])).
% cnf(52,plain,(addition(X2,X1)=one|~complement(X1,X2)),inference(split_conjunct,[status(thm)],[50])).
% cnf(53,plain,(multiplication(X1,X2)=zero|~complement(X1,X2)),inference(split_conjunct,[status(thm)],[50])).
% cnf(54,plain,(multiplication(X2,X1)=zero|~complement(X1,X2)),inference(split_conjunct,[status(thm)],[50])).
% fof(55, plain,![X4]:((~(test(X4))|?[X5]:complement(X5,X4))&(![X5]:~(complement(X5,X4))|test(X4))),inference(fof_nnf,[status(thm)],[13])).
% fof(56, plain,![X6]:((~(test(X6))|?[X7]:complement(X7,X6))&(![X8]:~(complement(X8,X6))|test(X6))),inference(variable_rename,[status(thm)],[55])).
% fof(57, plain,![X6]:((~(test(X6))|complement(esk1_1(X6),X6))&(![X8]:~(complement(X8,X6))|test(X6))),inference(skolemize,[status(esa)],[56])).
% fof(58, plain,![X6]:![X8]:((~(complement(X8,X6))|test(X6))&(~(test(X6))|complement(esk1_1(X6),X6))),inference(shift_quantors,[status(thm)],[57])).
% cnf(59,plain,(complement(esk1_1(X1),X1)|~test(X1)),inference(split_conjunct,[status(thm)],[58])).
% cnf(60,plain,(test(X1)|~complement(X2,X1)),inference(split_conjunct,[status(thm)],[58])).
% fof(61, plain,![X2]:addition(X2,zero)=X2,inference(variable_rename,[status(thm)],[14])).
% cnf(62,plain,(addition(X1,zero)=X1),inference(split_conjunct,[status(thm)],[61])).
% fof(67, negated_conjecture,?[X4]:?[X5]:((test(X5)&test(X4))&(~(leq(one,addition(addition(multiplication(addition(X5,c(X5)),X4),multiplication(addition(X4,c(X4)),X5)),multiplication(c(X4),c(X5)))))|~(leq(addition(addition(multiplication(addition(X5,c(X5)),X4),multiplication(addition(X4,c(X4)),X5)),multiplication(c(X4),c(X5))),one)))),inference(fof_nnf,[status(thm)],[18])).
% fof(68, negated_conjecture,?[X6]:?[X7]:((test(X7)&test(X6))&(~(leq(one,addition(addition(multiplication(addition(X7,c(X7)),X6),multiplication(addition(X6,c(X6)),X7)),multiplication(c(X6),c(X7)))))|~(leq(addition(addition(multiplication(addition(X7,c(X7)),X6),multiplication(addition(X6,c(X6)),X7)),multiplication(c(X6),c(X7))),one)))),inference(variable_rename,[status(thm)],[67])).
% fof(69, negated_conjecture,((test(esk3_0)&test(esk2_0))&(~(leq(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)))))|~(leq(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))),one)))),inference(skolemize,[status(esa)],[68])).
% cnf(70,negated_conjecture,(~leq(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))),one)|~leq(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(74,plain,(leq(X1,X1)),inference(spm,[status(thm)],[22,37,theory(equality)])).
% cnf(75,plain,(complement(X1,c(X1))|~test(X1)),inference(er,[status(thm)],[47,theory(equality)])).
% cnf(77,plain,(addition(X1,esk1_1(X1))=one|~test(X1)),inference(spm,[status(thm)],[52,59,theory(equality)])).
% cnf(78,plain,(multiplication(X1,esk1_1(X1))=zero|~test(X1)),inference(spm,[status(thm)],[54,59,theory(equality)])).
% cnf(80,plain,(multiplication(esk1_1(X1),X1)=zero|~test(X1)),inference(spm,[status(thm)],[53,59,theory(equality)])).
% cnf(92,plain,(addition(X1,X2)=addition(X1,addition(X1,X2))),inference(spm,[status(thm)],[35,37,theory(equality)])).
% cnf(93,negated_conjecture,(~leq(one,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)))))|~leq(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))),one)),inference(rw,[status(thm)],[70,35,theory(equality)])).
% cnf(94,negated_conjecture,(~leq(one,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)))))|~leq(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)],[93,35,theory(equality)])).
% cnf(115,plain,(addition(X3,addition(X1,X2))=addition(X1,addition(X2,X3))),inference(spm,[status(thm)],[35,33,theory(equality)])).
% cnf(116,plain,(addition(zero,X1)=X1),inference(spm,[status(thm)],[62,33,theory(equality)])).
% cnf(120,plain,(complement(X1,X2)|addition(X1,X2)!=one|multiplication(X2,X1)!=zero|multiplication(X1,X2)!=zero),inference(spm,[status(thm)],[51,33,theory(equality)])).
% cnf(133,plain,(leq(multiplication(X1,X2),multiplication(X1,X3))|multiplication(X1,addition(X2,X3))!=multiplication(X1,X3)),inference(spm,[status(thm)],[22,29,theory(equality)])).
% cnf(168,plain,(leq(multiplication(X1,X2),multiplication(X3,X2))|multiplication(addition(X1,X3),X2)!=multiplication(X3,X2)),inference(spm,[status(thm)],[22,31,theory(equality)])).
% cnf(175,plain,(addition(multiplication(X1,X2),X2)=multiplication(addition(X1,one),X2)),inference(spm,[status(thm)],[31,27,theory(equality)])).
% cnf(201,negated_conjecture,(~leq(one,addition(multiplication(addition(esk3_0,c(esk3_0)),esk2_0),addition(multiplication(c(esk2_0),c(esk3_0)),multiplication(addition(esk2_0,c(esk2_0)),esk3_0))))|~leq(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)],[94,33,theory(equality)])).
% cnf(202,negated_conjecture,(~leq(one,addition(multiplication(addition(esk3_0,c(esk3_0)),esk2_0),addition(multiplication(c(esk2_0),c(esk3_0)),multiplication(addition(esk2_0,c(esk2_0)),esk3_0))))|~leq(addition(multiplication(addition(esk3_0,c(esk3_0)),esk2_0),addition(multiplication(c(esk2_0),c(esk3_0)),multiplication(addition(esk2_0,c(esk2_0)),esk3_0))),one)),inference(rw,[status(thm)],[201,33,theory(equality)])).
% cnf(221,plain,(addition(c(X1),X1)=one|~test(X1)),inference(spm,[status(thm)],[52,75,theory(equality)])).
% cnf(222,plain,(multiplication(c(X1),X1)=zero|~test(X1)),inference(spm,[status(thm)],[54,75,theory(equality)])).
% cnf(236,plain,(addition(X1,addition(X2,X1))=addition(X2,X1)),inference(spm,[status(thm)],[92,33,theory(equality)])).
% cnf(298,plain,(addition(X1,one)=one|~test(X1)),inference(spm,[status(thm)],[92,77,theory(equality)])).
% cnf(366,plain,(addition(addition(X2,X1),X3)=addition(X1,addition(addition(X2,X1),X3))),inference(spm,[status(thm)],[35,236,theory(equality)])).
% cnf(384,plain,(addition(X2,addition(X1,X3))=addition(X1,addition(addition(X2,X1),X3))),inference(rw,[status(thm)],[366,35,theory(equality)])).
% cnf(385,plain,(addition(X2,addition(X1,X3))=addition(X1,addition(X2,addition(X1,X3)))),inference(rw,[status(thm)],[384,35,theory(equality)])).
% cnf(432,negated_conjecture,(addition(esk3_0,one)=one),inference(spm,[status(thm)],[298,72,theory(equality)])).
% cnf(433,negated_conjecture,(addition(esk2_0,one)=one),inference(spm,[status(thm)],[298,71,theory(equality)])).
% cnf(525,plain,(addition(zero,multiplication(X1,X2))=multiplication(X1,addition(esk1_1(X1),X2))|~test(X1)),inference(spm,[status(thm)],[29,78,theory(equality)])).
% cnf(526,plain,(addition(zero,multiplication(X2,esk1_1(X1)))=multiplication(addition(X1,X2),esk1_1(X1))|~test(X1)),inference(spm,[status(thm)],[31,78,theory(equality)])).
% cnf(528,plain,(addition(multiplication(X1,esk1_1(X2)),zero)=multiplication(addition(X1,X2),esk1_1(X2))|~test(X2)),inference(spm,[status(thm)],[31,78,theory(equality)])).
% cnf(533,plain,(multiplication(X1,X2)=multiplication(X1,addition(esk1_1(X1),X2))|~test(X1)),inference(rw,[status(thm)],[525,116,theory(equality)])).
% cnf(534,plain,(multiplication(X2,esk1_1(X1))=multiplication(addition(X1,X2),esk1_1(X1))|~test(X1)),inference(rw,[status(thm)],[526,116,theory(equality)])).
% cnf(536,plain,(multiplication(X1,esk1_1(X2))=multiplication(addition(X1,X2),esk1_1(X2))|~test(X2)),inference(rw,[status(thm)],[528,62,theory(equality)])).
% cnf(767,plain,(complement(X1,esk1_1(X1))|multiplication(esk1_1(X1),X1)!=zero|multiplication(X1,esk1_1(X1))!=zero|~test(X1)),inference(spm,[status(thm)],[120,77,theory(equality)])).
% cnf(1366,plain,(addition(multiplication(X1,X2),addition(X3,multiplication(X4,X2)))=addition(X3,multiplication(addition(X4,X1),X2))),inference(spm,[status(thm)],[115,31,theory(equality)])).
% cnf(1398,negated_conjecture,(~leq(one,addition(multiplication(c(esk2_0),c(esk3_0)),addition(multiplication(addition(esk2_0,c(esk2_0)),esk3_0),multiplication(addition(esk3_0,c(esk3_0)),esk2_0))))|~leq(addition(multiplication(addition(esk3_0,c(esk3_0)),esk2_0),addition(multiplication(c(esk2_0),c(esk3_0)),multiplication(addition(esk2_0,c(esk2_0)),esk3_0))),one)),inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[202,115,theory(equality)]),33,theory(equality)]),115,theory(equality)]),33,theory(equality)])).
% cnf(1399,negated_conjecture,(~leq(one,addition(multiplication(c(esk2_0),c(esk3_0)),addition(multiplication(addition(esk2_0,c(esk2_0)),esk3_0),multiplication(addition(esk3_0,c(esk3_0)),esk2_0))))|~leq(addition(multiplication(c(esk2_0),c(esk3_0)),addition(multiplication(addition(esk2_0,c(esk2_0)),esk3_0),multiplication(addition(esk3_0,c(esk3_0)),esk2_0))),one)),inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1398,115,theory(equality)]),33,theory(equality)]),115,theory(equality)]),33,theory(equality)])).
% cnf(2730,negated_conjecture,(leq(multiplication(X1,esk3_0),multiplication(X1,one))),inference(spm,[status(thm)],[133,432,theory(equality)])).
% cnf(2733,negated_conjecture,(leq(multiplication(X1,esk2_0),multiplication(X1,one))),inference(spm,[status(thm)],[133,433,theory(equality)])).
% cnf(2764,negated_conjecture,(leq(multiplication(X1,esk3_0),X1)),inference(rw,[status(thm)],[2730,25,theory(equality)])).
% cnf(2765,negated_conjecture,(leq(multiplication(X1,esk2_0),X1)),inference(rw,[status(thm)],[2733,25,theory(equality)])).
% cnf(2792,negated_conjecture,(addition(multiplication(X1,esk3_0),X1)=X1),inference(spm,[status(thm)],[23,2764,theory(equality)])).
% cnf(2802,negated_conjecture,(addition(multiplication(X1,esk2_0),X1)=X1),inference(spm,[status(thm)],[23,2765,theory(equality)])).
% cnf(2812,negated_conjecture,(addition(X1,multiplication(X1,esk3_0))=X1),inference(rw,[status(thm)],[2792,33,theory(equality)])).
% cnf(2890,negated_conjecture,(addition(X1,multiplication(X1,esk2_0))=X1),inference(rw,[status(thm)],[2802,33,theory(equality)])).
% cnf(4790,negated_conjecture,(leq(multiplication(esk3_0,X1),multiplication(one,X1))),inference(spm,[status(thm)],[168,432,theory(equality)])).
% cnf(4793,negated_conjecture,(leq(multiplication(esk2_0,X1),multiplication(one,X1))),inference(spm,[status(thm)],[168,433,theory(equality)])).
% cnf(4836,negated_conjecture,(leq(multiplication(esk3_0,X1),X1)),inference(rw,[status(thm)],[4790,27,theory(equality)])).
% cnf(4837,negated_conjecture,(leq(multiplication(esk2_0,X1),X1)),inference(rw,[status(thm)],[4793,27,theory(equality)])).
% cnf(4903,negated_conjecture,(addition(multiplication(esk3_0,X1),X1)=X1),inference(spm,[status(thm)],[23,4836,theory(equality)])).
% cnf(4914,negated_conjecture,(addition(multiplication(esk2_0,X1),X1)=X1),inference(spm,[status(thm)],[23,4837,theory(equality)])).
% cnf(4931,negated_conjecture,(addition(X1,multiplication(esk3_0,X1))=X1),inference(rw,[status(thm)],[4903,33,theory(equality)])).
% cnf(5036,negated_conjecture,(addition(X1,multiplication(esk2_0,X1))=X1),inference(rw,[status(thm)],[4914,33,theory(equality)])).
% cnf(7055,plain,(addition(X2,multiplication(X1,X2))=multiplication(addition(X1,one),X2)),inference(rw,[status(thm)],[175,33,theory(equality)])).
% cnf(8645,plain,(addition(X1,c(X1))=one|~test(X1)),inference(rw,[status(thm)],[221,33,theory(equality)])).
% cnf(8687,negated_conjecture,(addition(esk3_0,c(esk3_0))=one),inference(spm,[status(thm)],[8645,72,theory(equality)])).
% cnf(8688,negated_conjecture,(addition(esk2_0,c(esk2_0))=one),inference(spm,[status(thm)],[8645,71,theory(equality)])).
% cnf(8749,negated_conjecture,(~leq(one,addition(esk2_0,addition(multiplication(c(esk2_0),c(esk3_0)),multiplication(addition(esk2_0,c(esk2_0)),esk3_0))))|~leq(addition(multiplication(c(esk2_0),c(esk3_0)),addition(multiplication(addition(esk2_0,c(esk2_0)),esk3_0),multiplication(addition(esk3_0,c(esk3_0)),esk2_0))),one)),inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1399,8687,theory(equality)]),27,theory(equality)]),33,theory(equality)]),115,theory(equality)]),33,theory(equality)])).
% cnf(8750,negated_conjecture,(~leq(one,addition(esk2_0,addition(multiplication(c(esk2_0),c(esk3_0)),multiplication(addition(esk2_0,c(esk2_0)),esk3_0))))|~leq(addition(esk2_0,addition(multiplication(c(esk2_0),c(esk3_0)),multiplication(addition(esk2_0,c(esk2_0)),esk3_0))),one)),inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[8749,8687,theory(equality)]),27,theory(equality)]),33,theory(equality)]),115,theory(equality)]),33,theory(equality)])).
% cnf(8832,negated_conjecture,(~leq(one,addition(esk2_0,addition(esk3_0,multiplication(c(esk2_0),c(esk3_0)))))|~leq(addition(esk2_0,addition(multiplication(c(esk2_0),c(esk3_0)),multiplication(addition(esk2_0,c(esk2_0)),esk3_0))),one)),inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[8750,8688,theory(equality)]),27,theory(equality)]),33,theory(equality)])).
% cnf(8833,negated_conjecture,(~leq(one,addition(esk2_0,addition(esk3_0,multiplication(c(esk2_0),c(esk3_0)))))|~leq(addition(esk2_0,addition(esk3_0,multiplication(c(esk2_0),c(esk3_0)))),one)),inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[8832,8688,theory(equality)]),27,theory(equality)]),33,theory(equality)])).
% cnf(8909,negated_conjecture,(multiplication(c(esk3_0),esk3_0)=zero),inference(spm,[status(thm)],[222,72,theory(equality)])).
% cnf(8910,negated_conjecture,(multiplication(c(esk2_0),esk2_0)=zero),inference(spm,[status(thm)],[222,71,theory(equality)])).
% cnf(8940,negated_conjecture,(addition(zero,multiplication(c(esk3_0),X1))=multiplication(c(esk3_0),addition(esk3_0,X1))),inference(spm,[status(thm)],[29,8909,theory(equality)])).
% cnf(8950,negated_conjecture,(addition(multiplication(X1,esk3_0),zero)=multiplication(addition(X1,c(esk3_0)),esk3_0)),inference(spm,[status(thm)],[31,8909,theory(equality)])).
% cnf(8965,negated_conjecture,(multiplication(c(esk3_0),X1)=multiplication(c(esk3_0),addition(esk3_0,X1))),inference(rw,[status(thm)],[8940,116,theory(equality)])).
% cnf(8977,negated_conjecture,(multiplication(X1,esk3_0)=multiplication(addition(X1,c(esk3_0)),esk3_0)),inference(rw,[status(thm)],[8950,62,theory(equality)])).
% cnf(8990,negated_conjecture,(addition(zero,multiplication(c(esk2_0),X1))=multiplication(c(esk2_0),addition(esk2_0,X1))),inference(spm,[status(thm)],[29,8910,theory(equality)])).
% cnf(9000,negated_conjecture,(addition(multiplication(X1,esk2_0),zero)=multiplication(addition(X1,c(esk2_0)),esk2_0)),inference(spm,[status(thm)],[31,8910,theory(equality)])).
% cnf(9015,negated_conjecture,(multiplication(c(esk2_0),X1)=multiplication(c(esk2_0),addition(esk2_0,X1))),inference(rw,[status(thm)],[8990,116,theory(equality)])).
% cnf(9027,negated_conjecture,(multiplication(X1,esk2_0)=multiplication(addition(X1,c(esk2_0)),esk2_0)),inference(rw,[status(thm)],[9000,62,theory(equality)])).
% cnf(21776,negated_conjecture,(multiplication(c(esk3_0),one)=multiplication(c(esk3_0),esk1_1(esk3_0))|~test(esk3_0)),inference(spm,[status(thm)],[8965,77,theory(equality)])).
% cnf(21780,negated_conjecture,(multiplication(c(esk3_0),esk3_0)=multiplication(c(esk3_0),multiplication(esk2_0,esk3_0))),inference(spm,[status(thm)],[8965,5036,theory(equality)])).
% cnf(21831,negated_conjecture,(c(esk3_0)=multiplication(c(esk3_0),esk1_1(esk3_0))|~test(esk3_0)),inference(rw,[status(thm)],[21776,25,theory(equality)])).
% cnf(21832,negated_conjecture,(c(esk3_0)=multiplication(c(esk3_0),esk1_1(esk3_0))|$false),inference(rw,[status(thm)],[21831,72,theory(equality)])).
% cnf(21833,negated_conjecture,(c(esk3_0)=multiplication(c(esk3_0),esk1_1(esk3_0))),inference(cn,[status(thm)],[21832,theory(equality)])).
% cnf(21839,negated_conjecture,(zero=multiplication(c(esk3_0),multiplication(esk2_0,esk3_0))),inference(rw,[status(thm)],[21780,8909,theory(equality)])).
% cnf(22379,negated_conjecture,(addition(zero,multiplication(X1,multiplication(esk2_0,esk3_0)))=multiplication(addition(c(esk3_0),X1),multiplication(esk2_0,esk3_0))),inference(spm,[status(thm)],[31,21839,theory(equality)])).
% cnf(22414,negated_conjecture,(multiplication(X1,multiplication(esk2_0,esk3_0))=multiplication(addition(c(esk3_0),X1),multiplication(esk2_0,esk3_0))),inference(rw,[status(thm)],[22379,116,theory(equality)])).
% cnf(23112,negated_conjecture,(multiplication(one,esk3_0)=multiplication(esk3_0,esk3_0)),inference(spm,[status(thm)],[8977,8687,theory(equality)])).
% cnf(23160,negated_conjecture,(esk3_0=multiplication(esk3_0,esk3_0)),inference(rw,[status(thm)],[23112,27,theory(equality)])).
% cnf(23380,negated_conjecture,(multiplication(esk3_0,X1)=multiplication(esk3_0,multiplication(esk3_0,X1))),inference(spm,[status(thm)],[39,23160,theory(equality)])).
% cnf(23381,negated_conjecture,(addition(esk3_0,multiplication(esk3_0,X1))=multiplication(esk3_0,addition(esk3_0,X1))),inference(spm,[status(thm)],[29,23160,theory(equality)])).
% cnf(24033,negated_conjecture,(addition(addition(esk3_0,X1),addition(esk3_0,multiplication(esk3_0,X1)))=multiplication(addition(esk3_0,one),addition(esk3_0,X1))),inference(spm,[status(thm)],[7055,23381,theory(equality)])).
% cnf(24110,negated_conjecture,(addition(X1,addition(esk3_0,multiplication(esk3_0,X1)))=multiplication(addition(esk3_0,one),addition(esk3_0,X1))),inference(rw,[status(thm)],[inference(rw,[status(thm)],[24033,35,theory(equality)]),385,theory(equality)])).
% cnf(24111,negated_conjecture,(addition(X1,addition(esk3_0,multiplication(esk3_0,X1)))=addition(esk3_0,X1)),inference(rw,[status(thm)],[inference(rw,[status(thm)],[24110,432,theory(equality)]),27,theory(equality)])).
% cnf(25290,negated_conjecture,(multiplication(c(esk2_0),one)=multiplication(c(esk2_0),esk1_1(esk2_0))|~test(esk2_0)),inference(spm,[status(thm)],[9015,77,theory(equality)])).
% cnf(25293,negated_conjecture,(multiplication(c(esk2_0),esk2_0)=multiplication(c(esk2_0),multiplication(esk3_0,esk2_0))),inference(spm,[status(thm)],[9015,4931,theory(equality)])).
% cnf(25348,negated_conjecture,(c(esk2_0)=multiplication(c(esk2_0),esk1_1(esk2_0))|~test(esk2_0)),inference(rw,[status(thm)],[25290,25,theory(equality)])).
% cnf(25349,negated_conjecture,(c(esk2_0)=multiplication(c(esk2_0),esk1_1(esk2_0))|$false),inference(rw,[status(thm)],[25348,71,theory(equality)])).
% cnf(25350,negated_conjecture,(c(esk2_0)=multiplication(c(esk2_0),esk1_1(esk2_0))),inference(cn,[status(thm)],[25349,theory(equality)])).
% cnf(25354,negated_conjecture,(zero=multiplication(c(esk2_0),multiplication(esk3_0,esk2_0))),inference(rw,[status(thm)],[25293,8910,theory(equality)])).
% cnf(25847,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)],[31,25354,theory(equality)])).
% cnf(25883,negated_conjecture,(multiplication(X1,multiplication(esk3_0,esk2_0))=multiplication(addition(c(esk2_0),X1),multiplication(esk3_0,esk2_0))),inference(rw,[status(thm)],[25847,116,theory(equality)])).
% cnf(26573,negated_conjecture,(multiplication(one,esk2_0)=multiplication(esk2_0,esk2_0)),inference(spm,[status(thm)],[9027,8688,theory(equality)])).
% cnf(26623,negated_conjecture,(esk2_0=multiplication(esk2_0,esk2_0)),inference(rw,[status(thm)],[26573,27,theory(equality)])).
% cnf(26631,negated_conjecture,(multiplication(esk2_0,X1)=multiplication(esk2_0,multiplication(esk2_0,X1))),inference(spm,[status(thm)],[39,26623,theory(equality)])).
% cnf(27902,plain,(multiplication(X1,one)=multiplication(X1,esk1_1(esk1_1(X1)))|~test(X1)|~test(esk1_1(X1))),inference(spm,[status(thm)],[533,77,theory(equality)])).
% cnf(28026,plain,(X1=multiplication(X1,esk1_1(esk1_1(X1)))|~test(X1)|~test(esk1_1(X1))),inference(rw,[status(thm)],[27902,25,theory(equality)])).
% cnf(28394,negated_conjecture,(multiplication(one,esk1_1(esk3_0))=multiplication(c(esk3_0),esk1_1(esk3_0))|~test(esk3_0)),inference(spm,[status(thm)],[534,8687,theory(equality)])).
% cnf(28398,negated_conjecture,(multiplication(one,esk1_1(esk2_0))=multiplication(c(esk2_0),esk1_1(esk2_0))|~test(esk2_0)),inference(spm,[status(thm)],[534,8688,theory(equality)])).
% cnf(28524,negated_conjecture,(esk1_1(esk3_0)=multiplication(c(esk3_0),esk1_1(esk3_0))|~test(esk3_0)),inference(rw,[status(thm)],[28394,27,theory(equality)])).
% cnf(28525,negated_conjecture,(esk1_1(esk3_0)=c(esk3_0)|~test(esk3_0)),inference(rw,[status(thm)],[28524,21833,theory(equality)])).
% cnf(28526,negated_conjecture,(esk1_1(esk3_0)=c(esk3_0)|$false),inference(rw,[status(thm)],[28525,72,theory(equality)])).
% cnf(28527,negated_conjecture,(esk1_1(esk3_0)=c(esk3_0)),inference(cn,[status(thm)],[28526,theory(equality)])).
% cnf(28535,negated_conjecture,(esk1_1(esk2_0)=multiplication(c(esk2_0),esk1_1(esk2_0))|~test(esk2_0)),inference(rw,[status(thm)],[28398,27,theory(equality)])).
% cnf(28536,negated_conjecture,(esk1_1(esk2_0)=c(esk2_0)|~test(esk2_0)),inference(rw,[status(thm)],[28535,25350,theory(equality)])).
% cnf(28537,negated_conjecture,(esk1_1(esk2_0)=c(esk2_0)|$false),inference(rw,[status(thm)],[28536,71,theory(equality)])).
% cnf(28538,negated_conjecture,(esk1_1(esk2_0)=c(esk2_0)),inference(cn,[status(thm)],[28537,theory(equality)])).
% cnf(30163,negated_conjecture,(multiplication(one,esk1_1(c(esk3_0)))=multiplication(esk3_0,esk1_1(c(esk3_0)))|~test(c(esk3_0))),inference(spm,[status(thm)],[536,8687,theory(equality)])).
% cnf(30169,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)],[536,8688,theory(equality)])).
% cnf(30251,negated_conjecture,(esk1_1(c(esk3_0))=multiplication(esk3_0,esk1_1(c(esk3_0)))|~test(c(esk3_0))),inference(rw,[status(thm)],[30163,27,theory(equality)])).
% cnf(30256,negated_conjecture,(esk1_1(c(esk2_0))=multiplication(esk2_0,esk1_1(c(esk2_0)))|~test(c(esk2_0))),inference(rw,[status(thm)],[30169,27,theory(equality)])).
% cnf(36737,plain,(complement(X1,esk1_1(X1))|multiplication(esk1_1(X1),X1)!=zero|~test(X1)),inference(csr,[status(thm)],[767,78])).
% cnf(36738,plain,(complement(X1,esk1_1(X1))|~test(X1)),inference(csr,[status(thm)],[36737,80])).
% cnf(36739,plain,(test(esk1_1(X1))|~test(X1)),inference(spm,[status(thm)],[60,36738,theory(equality)])).
% cnf(36744,negated_conjecture,(complement(esk3_0,c(esk3_0))|~test(esk3_0)),inference(spm,[status(thm)],[36738,28527,theory(equality)])).
% cnf(36745,negated_conjecture,(complement(esk2_0,c(esk2_0))|~test(esk2_0)),inference(spm,[status(thm)],[36738,28538,theory(equality)])).
% cnf(36749,negated_conjecture,(complement(esk3_0,c(esk3_0))|$false),inference(rw,[status(thm)],[36744,72,theory(equality)])).
% cnf(36750,negated_conjecture,(complement(esk3_0,c(esk3_0))),inference(cn,[status(thm)],[36749,theory(equality)])).
% cnf(36751,negated_conjecture,(complement(esk2_0,c(esk2_0))|$false),inference(rw,[status(thm)],[36745,71,theory(equality)])).
% cnf(36752,negated_conjecture,(complement(esk2_0,c(esk2_0))),inference(cn,[status(thm)],[36751,theory(equality)])).
% cnf(36759,negated_conjecture,(test(c(esk3_0))),inference(spm,[status(thm)],[60,36750,theory(equality)])).
% cnf(36797,negated_conjecture,(test(c(esk2_0))),inference(spm,[status(thm)],[60,36752,theory(equality)])).
% cnf(51603,plain,(multiplication(X1,esk1_1(esk1_1(X1)))=X1|~test(X1)),inference(csr,[status(thm)],[28026,36739])).
% cnf(51687,negated_conjecture,(multiplication(esk3_0,esk1_1(c(esk3_0)))=esk3_0|~test(esk3_0)),inference(spm,[status(thm)],[51603,28527,theory(equality)])).
% cnf(51688,negated_conjecture,(multiplication(esk2_0,esk1_1(c(esk2_0)))=esk2_0|~test(esk2_0)),inference(spm,[status(thm)],[51603,28538,theory(equality)])).
% cnf(51793,negated_conjecture,(multiplication(esk3_0,esk1_1(c(esk3_0)))=esk3_0|$false),inference(rw,[status(thm)],[51687,72,theory(equality)])).
% cnf(51794,negated_conjecture,(multiplication(esk3_0,esk1_1(c(esk3_0)))=esk3_0),inference(cn,[status(thm)],[51793,theory(equality)])).
% cnf(51795,negated_conjecture,(multiplication(esk2_0,esk1_1(c(esk2_0)))=esk2_0|$false),inference(rw,[status(thm)],[51688,71,theory(equality)])).
% cnf(51796,negated_conjecture,(multiplication(esk2_0,esk1_1(c(esk2_0)))=esk2_0),inference(cn,[status(thm)],[51795,theory(equality)])).
% cnf(66006,negated_conjecture,(esk3_0=esk1_1(c(esk3_0))|~test(c(esk3_0))),inference(rw,[status(thm)],[30251,51794,theory(equality)])).
% cnf(66007,negated_conjecture,(esk3_0=esk1_1(c(esk3_0))|$false),inference(rw,[status(thm)],[66006,36759,theory(equality)])).
% cnf(66008,negated_conjecture,(esk3_0=esk1_1(c(esk3_0))),inference(cn,[status(thm)],[66007,theory(equality)])).
% cnf(66181,negated_conjecture,(esk2_0=esk1_1(c(esk2_0))|~test(c(esk2_0))),inference(rw,[status(thm)],[30256,51796,theory(equality)])).
% cnf(66182,negated_conjecture,(esk2_0=esk1_1(c(esk2_0))|$false),inference(rw,[status(thm)],[66181,36797,theory(equality)])).
% cnf(66183,negated_conjecture,(esk2_0=esk1_1(c(esk2_0))),inference(cn,[status(thm)],[66182,theory(equality)])).
% cnf(107161,negated_conjecture,(multiplication(one,multiplication(esk2_0,esk3_0))=multiplication(esk1_1(c(esk3_0)),multiplication(esk2_0,esk3_0))|~test(c(esk3_0))),inference(spm,[status(thm)],[22414,77,theory(equality)])).
% cnf(107265,negated_conjecture,(multiplication(esk2_0,esk3_0)=multiplication(esk1_1(c(esk3_0)),multiplication(esk2_0,esk3_0))|~test(c(esk3_0))),inference(rw,[status(thm)],[107161,27,theory(equality)])).
% cnf(107266,negated_conjecture,(multiplication(esk2_0,esk3_0)=multiplication(esk3_0,multiplication(esk2_0,esk3_0))|~test(c(esk3_0))),inference(rw,[status(thm)],[107265,66008,theory(equality)])).
% cnf(107267,negated_conjecture,(multiplication(esk2_0,esk3_0)=multiplication(esk3_0,multiplication(esk2_0,esk3_0))|$false),inference(rw,[status(thm)],[107266,36759,theory(equality)])).
% cnf(107268,negated_conjecture,(multiplication(esk2_0,esk3_0)=multiplication(esk3_0,multiplication(esk2_0,esk3_0))),inference(cn,[status(thm)],[107267,theory(equality)])).
% cnf(107357,negated_conjecture,(addition(multiplication(esk3_0,X1),multiplication(esk2_0,esk3_0))=multiplication(esk3_0,addition(X1,multiplication(esk2_0,esk3_0)))),inference(spm,[status(thm)],[29,107268,theory(equality)])).
% cnf(108703,negated_conjecture,(multiplication(esk3_0,addition(X1,multiplication(esk2_0,esk3_0)))=addition(multiplication(esk2_0,esk3_0),multiplication(esk3_0,X1))),inference(rw,[status(thm)],[107357,33,theory(equality)])).
% cnf(108799,negated_conjecture,(multiplication(esk3_0,esk2_0)=addition(multiplication(esk2_0,esk3_0),multiplication(esk3_0,esk2_0))),inference(spm,[status(thm)],[108703,2812,theory(equality)])).
% cnf(131611,negated_conjecture,(multiplication(one,multiplication(esk3_0,esk2_0))=multiplication(esk1_1(c(esk2_0)),multiplication(esk3_0,esk2_0))|~test(c(esk2_0))),inference(spm,[status(thm)],[25883,77,theory(equality)])).
% cnf(131722,negated_conjecture,(multiplication(esk3_0,esk2_0)=multiplication(esk1_1(c(esk2_0)),multiplication(esk3_0,esk2_0))|~test(c(esk2_0))),inference(rw,[status(thm)],[131611,27,theory(equality)])).
% cnf(131723,negated_conjecture,(multiplication(esk3_0,esk2_0)=multiplication(esk2_0,multiplication(esk3_0,esk2_0))|~test(c(esk2_0))),inference(rw,[status(thm)],[131722,66183,theory(equality)])).
% cnf(131724,negated_conjecture,(multiplication(esk3_0,esk2_0)=multiplication(esk2_0,multiplication(esk3_0,esk2_0))|$false),inference(rw,[status(thm)],[131723,36797,theory(equality)])).
% cnf(131725,negated_conjecture,(multiplication(esk3_0,esk2_0)=multiplication(esk2_0,multiplication(esk3_0,esk2_0))),inference(cn,[status(thm)],[131724,theory(equality)])).
% cnf(131797,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)],[29,131725,theory(equality)])).
% cnf(133827,negated_conjecture,(multiplication(esk2_0,addition(esk3_0,multiplication(esk3_0,esk2_0)))=addition(multiplication(esk3_0,esk2_0),multiplication(esk2_0,addition(esk3_0,multiplication(esk3_0,multiplication(esk3_0,esk2_0)))))),inference(spm,[status(thm)],[131797,24111,theory(equality)])).
% cnf(133978,negated_conjecture,(multiplication(esk2_0,esk3_0)=addition(multiplication(esk3_0,esk2_0),multiplication(esk2_0,addition(esk3_0,multiplication(esk3_0,multiplication(esk3_0,esk2_0)))))),inference(rw,[status(thm)],[133827,2890,theory(equality)])).
% cnf(133979,negated_conjecture,(multiplication(esk2_0,esk3_0)=addition(multiplication(esk3_0,esk2_0),multiplication(esk2_0,esk3_0))),inference(rw,[status(thm)],[inference(rw,[status(thm)],[133978,23380,theory(equality)]),2890,theory(equality)])).
% cnf(134200,negated_conjecture,(multiplication(esk3_0,esk2_0)=multiplication(esk2_0,esk3_0)),inference(rw,[status(thm)],[inference(rw,[status(thm)],[133979,33,theory(equality)]),108799,theory(equality)])).
% cnf(134300,negated_conjecture,(multiplication(esk2_0,addition(multiplication(esk2_0,esk3_0),X1))=addition(multiplication(esk3_0,esk2_0),multiplication(esk2_0,X1))),inference(rw,[status(thm)],[131797,134200,theory(equality)])).
% cnf(134301,negated_conjecture,(multiplication(esk2_0,addition(multiplication(esk2_0,esk3_0),X1))=multiplication(esk2_0,addition(esk3_0,X1))),inference(rw,[status(thm)],[inference(rw,[status(thm)],[134300,134200,theory(equality)]),29,theory(equality)])).
% cnf(134990,negated_conjecture,(multiplication(esk2_0,multiplication(esk2_0,addition(esk3_0,X1)))=multiplication(esk2_0,addition(esk3_0,multiplication(esk2_0,X1)))),inference(spm,[status(thm)],[134301,29,theory(equality)])).
% cnf(135122,negated_conjecture,(multiplication(esk2_0,addition(esk3_0,X1))=multiplication(esk2_0,addition(esk3_0,multiplication(esk2_0,X1)))),inference(rw,[status(thm)],[134990,26631,theory(equality)])).
% cnf(140236,negated_conjecture,(addition(addition(esk3_0,multiplication(esk2_0,X1)),multiplication(esk2_0,addition(esk3_0,X1)))=multiplication(addition(esk2_0,one),addition(esk3_0,multiplication(esk2_0,X1)))),inference(spm,[status(thm)],[7055,135122,theory(equality)])).
% cnf(140343,negated_conjecture,(addition(esk3_0,multiplication(esk2_0,addition(esk3_0,X1)))=multiplication(addition(esk2_0,one),addition(esk3_0,multiplication(esk2_0,X1)))),inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[140236,35,theory(equality)]),29,theory(equality)]),236,theory(equality)])).
% cnf(140344,negated_conjecture,(addition(esk3_0,multiplication(esk2_0,addition(esk3_0,X1)))=addition(esk3_0,multiplication(esk2_0,X1))),inference(rw,[status(thm)],[inference(rw,[status(thm)],[140343,433,theory(equality)]),27,theory(equality)])).
% cnf(145044,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)],[140344,77,theory(equality)])).
% cnf(145210,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)],[145044,25,theory(equality)]),33,theory(equality)])).
% cnf(145211,negated_conjecture,(addition(esk2_0,esk3_0)=addition(esk3_0,multiplication(esk2_0,c(esk3_0)))|~test(esk3_0)),inference(rw,[status(thm)],[145210,28527,theory(equality)])).
% cnf(145212,negated_conjecture,(addition(esk2_0,esk3_0)=addition(esk3_0,multiplication(esk2_0,c(esk3_0)))|$false),inference(rw,[status(thm)],[145211,72,theory(equality)])).
% cnf(145213,negated_conjecture,(addition(esk2_0,esk3_0)=addition(esk3_0,multiplication(esk2_0,c(esk3_0)))),inference(cn,[status(thm)],[145212,theory(equality)])).
% cnf(145428,negated_conjecture,(addition(multiplication(X1,c(esk3_0)),addition(esk2_0,esk3_0))=addition(esk3_0,multiplication(addition(esk2_0,X1),c(esk3_0)))),inference(spm,[status(thm)],[1366,145213,theory(equality)])).
% cnf(267394,negated_conjecture,(addition(esk2_0,addition(esk3_0,multiplication(X1,c(esk3_0))))=addition(esk3_0,multiplication(addition(esk2_0,X1),c(esk3_0)))),inference(rw,[status(thm)],[145428,115,theory(equality)])).
% cnf(267610,negated_conjecture,(addition(esk3_0,multiplication(one,c(esk3_0)))=addition(esk2_0,addition(esk3_0,multiplication(esk1_1(esk2_0),c(esk3_0))))|~test(esk2_0)),inference(spm,[status(thm)],[267394,77,theory(equality)])).
% cnf(267811,negated_conjecture,(one=addition(esk2_0,addition(esk3_0,multiplication(esk1_1(esk2_0),c(esk3_0))))|~test(esk2_0)),inference(rw,[status(thm)],[inference(rw,[status(thm)],[267610,27,theory(equality)]),8687,theory(equality)])).
% cnf(267812,negated_conjecture,(one=addition(esk2_0,addition(esk3_0,multiplication(c(esk2_0),c(esk3_0))))|~test(esk2_0)),inference(rw,[status(thm)],[267811,28538,theory(equality)])).
% cnf(267813,negated_conjecture,(one=addition(esk2_0,addition(esk3_0,multiplication(c(esk2_0),c(esk3_0))))|$false),inference(rw,[status(thm)],[267812,71,theory(equality)])).
% cnf(267814,negated_conjecture,(one=addition(esk2_0,addition(esk3_0,multiplication(c(esk2_0),c(esk3_0))))),inference(cn,[status(thm)],[267813,theory(equality)])).
% cnf(353999,negated_conjecture,($false|~leq(addition(esk2_0,addition(esk3_0,multiplication(c(esk2_0),c(esk3_0)))),one)),inference(rw,[status(thm)],[inference(rw,[status(thm)],[8833,267814,theory(equality)]),74,theory(equality)])).
% cnf(354000,negated_conjecture,($false|$false),inference(rw,[status(thm)],[inference(rw,[status(thm)],[353999,267814,theory(equality)]),74,theory(equality)])).
% cnf(354001,negated_conjecture,($false),inference(cn,[status(thm)],[354000,theory(equality)])).
% cnf(354002,negated_conjecture,($false),354001,['proof']).
% # SZS output end CNFRefutation
% # Processed clauses : 13437
% # ...of these trivial : 1581
% # ...subsumed : 10017
% # ...remaining for further processing: 1839
% # Other redundant clauses eliminated : 5
% # Clauses deleted for lack of memory : 0
% # Backward-subsumed : 30
% # Backward-rewritten : 346
% # Generated clauses : 174202
% # ...of the previous two non-trivial : 116198
% # Contextual simplify-reflections : 819
% # Paramodulations : 174144
% # Factorizations : 4
% # Equation resolutions : 54
% # Current number of processed clauses: 1463
% # Positive orientable unit clauses: 531
% # Positive unorientable unit clauses: 8
% # Negative unit clauses : 0
% # Non-unit-clauses : 924
% # Current number of unprocessed clauses: 89922
% # ...number of literals in the above : 191626
% # Clause-clause subsumption calls (NU) : 81694
% # Rec. Clause-clause subsumption calls : 79849
% # Unit Clause-clause subsumption calls : 193
% # Rewrite failures with RHS unbound : 0
% # Indexed BW rewrite attempts : 1592
% # Indexed BW rewrite successes : 295
% # Backwards rewriting index: 898 leaves, 1.72+/-1.595 terms/leaf
% # Paramod-from index: 488 leaves, 1.61+/-1.235 terms/leaf
% # Paramod-into index: 646 leaves, 1.74+/-1.606 terms/leaf
% # -------------------------------------------------
% # User time : 5.007 s
% # System time : 0.200 s
% # Total time : 5.207 s
% # Maximum resident set size: 0 pages
% PrfWatch: 9.76 CPU 9.93 WC
% FINAL PrfWatch: 9.76 CPU 9.93 WC
% SZS output end Solution for /tmp/SystemOnTPTP19548/KLE011+2.tptp
%
%------------------------------------------------------------------------------