%------------------------------------------------------------------------------
% File : SRASS---0.1
% Problem : KLE011+3 : 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 07:31:59 EST 2010
% Result : Theorem 8.63s
% Output : Solution 8.63s
% 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/SystemOnTPTP29343/KLE011+3.tptp
% Adding relevance values
% Extracting the conjecture
% Sorting axioms by relevance
% Looking for THM ...
% found
% SZS status THM for /tmp/SystemOnTPTP29343/KLE011+3.tptp
% SZS output start Solution for /tmp/SystemOnTPTP29343/KLE011+3.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 29439
% TreeLimitedRun: ----------------------------------------------------------
% PrfWatch: 0.00 CPU 0.00 WC
% PrfWatch: 1.92 CPU 2.01 WC
% PrfWatch: 3.91 CPU 4.01 WC
% # Preprocessing time : 0.013 s
% # Problem is unsatisfiable (or provable), constructing proof object
% # SZS status Theorem
% PrfWatch: 5.90 CPU 6.02 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(12, axiom,![X4]:![X5]:(test(X4)=>(c(X4)=X5<=>complement(X4,X5))),file('/tmp/SRASS.s.p', test_3)).
% fof(13, 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(14, axiom,![X4]:(test(X4)<=>?[X5]:complement(X5,X4)),file('/tmp/SRASS.s.p', test_1)).
% fof(15, axiom,![X1]:![X2]:(leq(X1,X2)<=>addition(X1,X2)=X2),file('/tmp/SRASS.s.p', order)).
% fof(16, axiom,![X1]:addition(X1,zero)=X1,file('/tmp/SRASS.s.p', additive_identity)).
% fof(18, axiom,![X1]:multiplication(zero,X1)=zero,file('/tmp/SRASS.s.p', left_annihilation)).
% fof(19, 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(20, 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)],[19])).
% fof(22, plain,![X3]:![X4]:addition(X3,X4)=addition(X4,X3),inference(variable_rename,[status(thm)],[1])).
% cnf(23,plain,(addition(X1,X2)=addition(X2,X1)),inference(split_conjunct,[status(thm)],[22])).
% fof(24, plain,![X4]:![X5]:![X6]:addition(X6,addition(X5,X4))=addition(addition(X6,X5),X4),inference(variable_rename,[status(thm)],[2])).
% cnf(25,plain,(addition(X1,addition(X2,X3))=addition(addition(X1,X2),X3)),inference(split_conjunct,[status(thm)],[24])).
% fof(26, plain,![X2]:addition(X2,X2)=X2,inference(variable_rename,[status(thm)],[3])).
% cnf(27,plain,(addition(X1,X1)=X1),inference(split_conjunct,[status(thm)],[26])).
% fof(28, plain,![X4]:![X5]:![X6]:multiplication(X4,multiplication(X5,X6))=multiplication(multiplication(X4,X5),X6),inference(variable_rename,[status(thm)],[4])).
% cnf(29,plain,(multiplication(X1,multiplication(X2,X3))=multiplication(multiplication(X1,X2),X3)),inference(split_conjunct,[status(thm)],[28])).
% fof(30, plain,![X2]:multiplication(X2,one)=X2,inference(variable_rename,[status(thm)],[5])).
% cnf(31,plain,(multiplication(X1,one)=X1),inference(split_conjunct,[status(thm)],[30])).
% fof(32, plain,![X2]:multiplication(one,X2)=X2,inference(variable_rename,[status(thm)],[6])).
% cnf(33,plain,(multiplication(one,X1)=X1),inference(split_conjunct,[status(thm)],[32])).
% fof(34, plain,![X4]:![X5]:![X6]:multiplication(X4,addition(X5,X6))=addition(multiplication(X4,X5),multiplication(X4,X6)),inference(variable_rename,[status(thm)],[7])).
% cnf(35,plain,(multiplication(X1,addition(X2,X3))=addition(multiplication(X1,X2),multiplication(X1,X3))),inference(split_conjunct,[status(thm)],[34])).
% fof(36, plain,![X4]:![X5]:![X6]:multiplication(addition(X4,X5),X6)=addition(multiplication(X4,X6),multiplication(X5,X6)),inference(variable_rename,[status(thm)],[8])).
% cnf(37,plain,(multiplication(addition(X1,X2),X3)=addition(multiplication(X1,X3),multiplication(X2,X3))),inference(split_conjunct,[status(thm)],[36])).
% fof(47, plain,![X4]:![X5]:(~(test(X4))|((~(c(X4)=X5)|complement(X4,X5))&(~(complement(X4,X5))|c(X4)=X5))),inference(fof_nnf,[status(thm)],[12])).
% fof(48, plain,![X6]:![X7]:(~(test(X6))|((~(c(X6)=X7)|complement(X6,X7))&(~(complement(X6,X7))|c(X6)=X7))),inference(variable_rename,[status(thm)],[47])).
% fof(49, plain,![X6]:![X7]:(((~(c(X6)=X7)|complement(X6,X7))|~(test(X6)))&((~(complement(X6,X7))|c(X6)=X7)|~(test(X6)))),inference(distribute,[status(thm)],[48])).
% cnf(50,plain,(c(X1)=X2|~test(X1)|~complement(X1,X2)),inference(split_conjunct,[status(thm)],[49])).
% cnf(51,plain,(complement(X1,X2)|~test(X1)|c(X1)!=X2),inference(split_conjunct,[status(thm)],[49])).
% fof(52, 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)],[13])).
% fof(53, 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)],[52])).
% fof(54, 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)],[53])).
% cnf(55,plain,(complement(X1,X2)|addition(X2,X1)!=one|multiplication(X1,X2)!=zero|multiplication(X2,X1)!=zero),inference(split_conjunct,[status(thm)],[54])).
% cnf(56,plain,(addition(X2,X1)=one|~complement(X1,X2)),inference(split_conjunct,[status(thm)],[54])).
% cnf(57,plain,(multiplication(X1,X2)=zero|~complement(X1,X2)),inference(split_conjunct,[status(thm)],[54])).
% cnf(58,plain,(multiplication(X2,X1)=zero|~complement(X1,X2)),inference(split_conjunct,[status(thm)],[54])).
% fof(59, plain,![X4]:((~(test(X4))|?[X5]:complement(X5,X4))&(![X5]:~(complement(X5,X4))|test(X4))),inference(fof_nnf,[status(thm)],[14])).
% fof(60, plain,![X6]:((~(test(X6))|?[X7]:complement(X7,X6))&(![X8]:~(complement(X8,X6))|test(X6))),inference(variable_rename,[status(thm)],[59])).
% fof(61, plain,![X6]:((~(test(X6))|complement(esk1_1(X6),X6))&(![X8]:~(complement(X8,X6))|test(X6))),inference(skolemize,[status(esa)],[60])).
% fof(62, plain,![X6]:![X8]:((~(complement(X8,X6))|test(X6))&(~(test(X6))|complement(esk1_1(X6),X6))),inference(shift_quantors,[status(thm)],[61])).
% cnf(63,plain,(complement(esk1_1(X1),X1)|~test(X1)),inference(split_conjunct,[status(thm)],[62])).
% fof(65, plain,![X1]:![X2]:((~(leq(X1,X2))|addition(X1,X2)=X2)&(~(addition(X1,X2)=X2)|leq(X1,X2))),inference(fof_nnf,[status(thm)],[15])).
% fof(66, plain,![X3]:![X4]:((~(leq(X3,X4))|addition(X3,X4)=X4)&(~(addition(X3,X4)=X4)|leq(X3,X4))),inference(variable_rename,[status(thm)],[65])).
% cnf(67,plain,(leq(X1,X2)|addition(X1,X2)!=X2),inference(split_conjunct,[status(thm)],[66])).
% cnf(68,plain,(addition(X1,X2)=X2|~leq(X1,X2)),inference(split_conjunct,[status(thm)],[66])).
% fof(69, plain,![X2]:addition(X2,zero)=X2,inference(variable_rename,[status(thm)],[16])).
% cnf(70,plain,(addition(X1,zero)=X1),inference(split_conjunct,[status(thm)],[69])).
% fof(73, plain,![X2]:multiplication(zero,X2)=zero,inference(variable_rename,[status(thm)],[18])).
% cnf(74,plain,(multiplication(zero,X1)=zero),inference(split_conjunct,[status(thm)],[73])).
% fof(75, 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)],[20])).
% fof(76, 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)],[75])).
% fof(77, 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)],[76])).
% cnf(78,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)],[77])).
% cnf(79,negated_conjecture,(test(esk2_0)),inference(split_conjunct,[status(thm)],[77])).
% cnf(80,negated_conjecture,(test(esk3_0)),inference(split_conjunct,[status(thm)],[77])).
% cnf(83,plain,(complement(X1,c(X1))|~test(X1)),inference(er,[status(thm)],[51,theory(equality)])).
% cnf(85,plain,(addition(X1,esk1_1(X1))=one|~test(X1)),inference(spm,[status(thm)],[56,63,theory(equality)])).
% cnf(86,plain,(multiplication(X1,esk1_1(X1))=zero|~test(X1)),inference(spm,[status(thm)],[58,63,theory(equality)])).
% cnf(88,plain,(multiplication(esk1_1(X1),X1)=zero|~test(X1)),inference(spm,[status(thm)],[57,63,theory(equality)])).
% cnf(100,plain,(addition(X1,X2)=addition(X1,addition(X1,X2))),inference(spm,[status(thm)],[25,27,theory(equality)])).
% cnf(101,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)],[78,25,theory(equality)])).
% cnf(122,plain,(addition(X3,addition(X1,X2))=addition(X1,addition(X2,X3))),inference(spm,[status(thm)],[25,23,theory(equality)])).
% cnf(123,plain,(addition(zero,X1)=X1),inference(spm,[status(thm)],[70,23,theory(equality)])).
% cnf(125,plain,(leq(X1,X2)|addition(X2,X1)!=X2),inference(spm,[status(thm)],[67,23,theory(equality)])).
% cnf(127,plain,(complement(X1,X2)|addition(X1,X2)!=one|multiplication(X2,X1)!=zero|multiplication(X1,X2)!=zero),inference(spm,[status(thm)],[55,23,theory(equality)])).
% cnf(148,plain,(addition(multiplication(X1,X2),X1)=multiplication(X1,addition(X2,one))),inference(spm,[status(thm)],[35,31,theory(equality)])).
% cnf(176,plain,(addition(multiplication(addition(X1,X3),X2),X4)=addition(multiplication(X1,X2),addition(multiplication(X3,X2),X4))),inference(spm,[status(thm)],[25,37,theory(equality)])).
% cnf(181,plain,(addition(multiplication(X1,X2),X2)=multiplication(addition(X1,one),X2)),inference(spm,[status(thm)],[37,33,theory(equality)])).
% cnf(218,negated_conjecture,(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)],[101,23,theory(equality)])).
% cnf(240,plain,(addition(c(X1),X1)=one|~test(X1)),inference(spm,[status(thm)],[56,83,theory(equality)])).
% cnf(251,plain,(leq(multiplication(X1,X2),multiplication(X3,X2))|multiplication(addition(X3,X1),X2)!=multiplication(X3,X2)),inference(spm,[status(thm)],[125,37,theory(equality)])).
% cnf(356,plain,(leq(X1,addition(X1,X2))),inference(spm,[status(thm)],[67,100,theory(equality)])).
% cnf(366,plain,(addition(X1,one)=one|~test(X1)),inference(spm,[status(thm)],[100,85,theory(equality)])).
% cnf(386,plain,(leq(multiplication(X1,X2),multiplication(addition(X1,X3),X2))),inference(spm,[status(thm)],[356,37,theory(equality)])).
% cnf(458,negated_conjecture,(addition(esk3_0,one)=one),inference(spm,[status(thm)],[366,80,theory(equality)])).
% cnf(459,negated_conjecture,(addition(esk2_0,one)=one),inference(spm,[status(thm)],[366,79,theory(equality)])).
% cnf(497,negated_conjecture,(addition(one,esk3_0)=one),inference(rw,[status(thm)],[458,23,theory(equality)])).
% cnf(499,negated_conjecture,(addition(one,X1)=addition(one,addition(esk3_0,X1))),inference(spm,[status(thm)],[25,497,theory(equality)])).
% cnf(514,negated_conjecture,(addition(one,esk2_0)=one),inference(rw,[status(thm)],[459,23,theory(equality)])).
% cnf(516,negated_conjecture,(addition(one,X1)=addition(one,addition(esk2_0,X1))),inference(spm,[status(thm)],[25,514,theory(equality)])).
% cnf(537,plain,(zero=multiplication(X1,multiplication(X2,esk1_1(multiplication(X1,X2))))|~test(multiplication(X1,X2))),inference(spm,[status(thm)],[29,86,theory(equality)])).
% cnf(541,plain,(addition(multiplication(X1,X2),zero)=multiplication(X1,addition(X2,esk1_1(X1)))|~test(X1)),inference(spm,[status(thm)],[35,86,theory(equality)])).
% cnf(549,plain,(multiplication(X1,X2)=multiplication(X1,addition(X2,esk1_1(X1)))|~test(X1)),inference(rw,[status(thm)],[541,70,theory(equality)])).
% cnf(717,plain,(multiplication(zero,X2)=multiplication(esk1_1(X1),multiplication(X1,X2))|~test(X1)),inference(spm,[status(thm)],[29,88,theory(equality)])).
% cnf(727,plain,(zero=multiplication(esk1_1(X1),multiplication(X1,X2))|~test(X1)),inference(rw,[status(thm)],[717,74,theory(equality)])).
% cnf(850,plain,(complement(X1,esk1_1(X1))|multiplication(esk1_1(X1),X1)!=zero|multiplication(X1,esk1_1(X1))!=zero|~test(X1)),inference(spm,[status(thm)],[127,85,theory(equality)])).
% cnf(1747,plain,(addition(multiplication(X1,X2),addition(X3,multiplication(X4,X2)))=addition(X3,multiplication(addition(X4,X1),X2))),inference(spm,[status(thm)],[122,37,theory(equality)])).
% cnf(1780,negated_conjecture,(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)],[218,122,theory(equality)]),23,theory(equality)]),122,theory(equality)]),23,theory(equality)])).
% cnf(2761,plain,(addition(X1,multiplication(X1,X2))=multiplication(X1,addition(X2,one))),inference(rw,[status(thm)],[148,23,theory(equality)])).
% cnf(2765,negated_conjecture,(addition(one,multiplication(esk2_0,addition(X1,one)))=addition(one,multiplication(esk2_0,X1))),inference(spm,[status(thm)],[516,2761,theory(equality)])).
% cnf(2844,plain,(addition(X2,multiplication(X1,X2))=multiplication(addition(X1,one),X2)),inference(rw,[status(thm)],[181,23,theory(equality)])).
% cnf(4809,plain,(addition(X1,c(X1))=one|~test(X1)),inference(rw,[status(thm)],[240,23,theory(equality)])).
% cnf(4813,negated_conjecture,(addition(multiplication(c(esk2_0),c(esk3_0)),addition(multiplication(addition(esk2_0,c(esk2_0)),esk3_0),multiplication(one,esk2_0)))!=one|~test(esk3_0)),inference(spm,[status(thm)],[1780,4809,theory(equality)])).
% cnf(4890,negated_conjecture,(addition(multiplication(c(esk2_0),c(esk3_0)),addition(multiplication(addition(esk2_0,c(esk2_0)),esk3_0),esk2_0))!=one|~test(esk3_0)),inference(rw,[status(thm)],[4813,33,theory(equality)])).
% cnf(4891,negated_conjecture,(addition(multiplication(c(esk2_0),c(esk3_0)),addition(multiplication(addition(esk2_0,c(esk2_0)),esk3_0),esk2_0))!=one|$false),inference(rw,[status(thm)],[4890,80,theory(equality)])).
% cnf(4892,negated_conjecture,(addition(multiplication(c(esk2_0),c(esk3_0)),addition(multiplication(addition(esk2_0,c(esk2_0)),esk3_0),esk2_0))!=one),inference(cn,[status(thm)],[4891,theory(equality)])).
% cnf(5021,negated_conjecture,(addition(esk2_0,addition(multiplication(c(esk2_0),c(esk3_0)),multiplication(addition(esk2_0,c(esk2_0)),esk3_0)))!=one),inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[4892,23,theory(equality)]),122,theory(equality)]),23,theory(equality)])).
% cnf(5023,negated_conjecture,(addition(esk2_0,addition(multiplication(c(esk2_0),c(esk3_0)),multiplication(one,esk3_0)))!=one|~test(esk2_0)),inference(spm,[status(thm)],[5021,4809,theory(equality)])).
% cnf(5029,negated_conjecture,(addition(esk2_0,addition(multiplication(c(esk2_0),c(esk3_0)),esk3_0))!=one|~test(esk2_0)),inference(rw,[status(thm)],[5023,33,theory(equality)])).
% cnf(5030,negated_conjecture,(addition(esk2_0,addition(multiplication(c(esk2_0),c(esk3_0)),esk3_0))!=one|$false),inference(rw,[status(thm)],[5029,79,theory(equality)])).
% cnf(5031,negated_conjecture,(addition(esk2_0,addition(multiplication(c(esk2_0),c(esk3_0)),esk3_0))!=one),inference(cn,[status(thm)],[5030,theory(equality)])).
% cnf(5039,negated_conjecture,(addition(esk2_0,addition(esk3_0,multiplication(c(esk2_0),c(esk3_0))))!=one),inference(rw,[status(thm)],[5031,23,theory(equality)])).
% cnf(7440,negated_conjecture,(addition(one,multiplication(esk2_0,addition(one,X1)))=addition(one,multiplication(esk2_0,X1))),inference(spm,[status(thm)],[2765,23,theory(equality)])).
% cnf(15375,negated_conjecture,(addition(one,multiplication(esk2_0,one))=addition(one,multiplication(esk2_0,esk3_0))),inference(spm,[status(thm)],[7440,497,theory(equality)])).
% cnf(15501,negated_conjecture,(one=addition(one,multiplication(esk2_0,esk3_0))),inference(rw,[status(thm)],[inference(rw,[status(thm)],[15375,31,theory(equality)]),514,theory(equality)])).
% cnf(15568,negated_conjecture,(leq(multiplication(multiplication(esk2_0,esk3_0),X1),multiplication(one,X1))),inference(spm,[status(thm)],[251,15501,theory(equality)])).
% cnf(15652,negated_conjecture,(leq(multiplication(esk2_0,multiplication(esk3_0,X1)),X1)),inference(rw,[status(thm)],[inference(rw,[status(thm)],[15568,29,theory(equality)]),33,theory(equality)])).
% cnf(16588,negated_conjecture,(addition(multiplication(esk2_0,multiplication(esk3_0,X1)),X1)=X1),inference(spm,[status(thm)],[68,15652,theory(equality)])).
% cnf(26746,plain,(multiplication(X1,one)=multiplication(X1,X1)|~test(X1)),inference(spm,[status(thm)],[549,85,theory(equality)])).
% cnf(26805,plain,(X1=multiplication(X1,X1)|~test(X1)),inference(rw,[status(thm)],[26746,31,theory(equality)])).
% cnf(31193,negated_conjecture,(multiplication(esk3_0,esk3_0)=esk3_0),inference(spm,[status(thm)],[26805,80,theory(equality)])).
% cnf(31194,negated_conjecture,(multiplication(esk2_0,esk2_0)=esk2_0),inference(spm,[status(thm)],[26805,79,theory(equality)])).
% cnf(31257,negated_conjecture,(multiplication(esk3_0,X1)=multiplication(esk3_0,multiplication(esk3_0,X1))),inference(spm,[status(thm)],[29,31193,theory(equality)])).
% cnf(31261,negated_conjecture,(addition(esk3_0,addition(multiplication(X1,esk3_0),X2))=addition(multiplication(addition(esk3_0,X1),esk3_0),X2)),inference(spm,[status(thm)],[176,31193,theory(equality)])).
% cnf(31265,negated_conjecture,(leq(esk3_0,multiplication(addition(esk3_0,X1),esk3_0))),inference(spm,[status(thm)],[386,31193,theory(equality)])).
% cnf(31272,negated_conjecture,(multiplication(esk3_0,multiplication(esk3_0,esk1_1(esk3_0)))=zero|~test(esk3_0)),inference(spm,[status(thm)],[537,31193,theory(equality)])).
% cnf(31343,negated_conjecture,(multiplication(esk3_0,multiplication(esk3_0,esk1_1(esk3_0)))=zero|$false),inference(rw,[status(thm)],[31272,80,theory(equality)])).
% cnf(31344,negated_conjecture,(multiplication(esk3_0,multiplication(esk3_0,esk1_1(esk3_0)))=zero),inference(cn,[status(thm)],[31343,theory(equality)])).
% cnf(31367,negated_conjecture,(multiplication(esk2_0,X1)=multiplication(esk2_0,multiplication(esk2_0,X1))),inference(spm,[status(thm)],[29,31194,theory(equality)])).
% cnf(31382,negated_conjecture,(multiplication(esk2_0,multiplication(esk2_0,esk1_1(esk2_0)))=zero|~test(esk2_0)),inference(spm,[status(thm)],[537,31194,theory(equality)])).
% cnf(31453,negated_conjecture,(multiplication(esk2_0,multiplication(esk2_0,esk1_1(esk2_0)))=zero|$false),inference(rw,[status(thm)],[31382,79,theory(equality)])).
% cnf(31454,negated_conjecture,(multiplication(esk2_0,multiplication(esk2_0,esk1_1(esk2_0)))=zero),inference(cn,[status(thm)],[31453,theory(equality)])).
% cnf(32291,negated_conjecture,(addition(esk3_0,multiplication(addition(esk3_0,X1),esk3_0))=multiplication(addition(esk3_0,X1),esk3_0)),inference(spm,[status(thm)],[68,31265,theory(equality)])).
% cnf(32310,negated_conjecture,(multiplication(addition(one,X1),esk3_0)=multiplication(addition(esk3_0,X1),esk3_0)),inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[32291,2844,theory(equality)]),25,theory(equality)]),122,theory(equality)]),499,theory(equality)])).
% cnf(32394,negated_conjecture,(multiplication(esk3_0,esk1_1(esk3_0))=zero),inference(rw,[status(thm)],[31344,31257,theory(equality)])).
% cnf(32403,negated_conjecture,(addition(zero,multiplication(X1,esk1_1(esk3_0)))=multiplication(addition(esk3_0,X1),esk1_1(esk3_0))),inference(spm,[status(thm)],[37,32394,theory(equality)])).
% cnf(32457,negated_conjecture,(multiplication(X1,esk1_1(esk3_0))=multiplication(addition(esk3_0,X1),esk1_1(esk3_0))),inference(rw,[status(thm)],[32403,123,theory(equality)])).
% cnf(32864,negated_conjecture,(multiplication(esk2_0,esk1_1(esk2_0))=zero),inference(rw,[status(thm)],[31454,31367,theory(equality)])).
% cnf(32873,negated_conjecture,(addition(zero,multiplication(X1,esk1_1(esk2_0)))=multiplication(addition(esk2_0,X1),esk1_1(esk2_0))),inference(spm,[status(thm)],[37,32864,theory(equality)])).
% cnf(32924,negated_conjecture,(multiplication(X1,esk1_1(esk2_0))=multiplication(addition(esk2_0,X1),esk1_1(esk2_0))),inference(rw,[status(thm)],[32873,123,theory(equality)])).
% cnf(40413,negated_conjecture,(multiplication(esk1_1(esk3_0),esk3_0)=zero|~test(esk3_0)),inference(spm,[status(thm)],[727,31193,theory(equality)])).
% cnf(40422,negated_conjecture,(multiplication(esk1_1(esk2_0),esk2_0)=zero|~test(esk2_0)),inference(spm,[status(thm)],[727,31194,theory(equality)])).
% cnf(40541,negated_conjecture,(multiplication(esk1_1(esk3_0),esk3_0)=zero|$false),inference(rw,[status(thm)],[40413,80,theory(equality)])).
% cnf(40542,negated_conjecture,(multiplication(esk1_1(esk3_0),esk3_0)=zero),inference(cn,[status(thm)],[40541,theory(equality)])).
% cnf(40562,negated_conjecture,(multiplication(esk1_1(esk2_0),esk2_0)=zero|$false),inference(rw,[status(thm)],[40422,79,theory(equality)])).
% cnf(40563,negated_conjecture,(multiplication(esk1_1(esk2_0),esk2_0)=zero),inference(cn,[status(thm)],[40562,theory(equality)])).
% cnf(40605,negated_conjecture,(addition(zero,multiplication(esk1_1(esk3_0),X1))=multiplication(esk1_1(esk3_0),addition(esk3_0,X1))),inference(spm,[status(thm)],[35,40542,theory(equality)])).
% cnf(40660,negated_conjecture,(multiplication(esk1_1(esk3_0),X1)=multiplication(esk1_1(esk3_0),addition(esk3_0,X1))),inference(rw,[status(thm)],[40605,123,theory(equality)])).
% cnf(40722,negated_conjecture,(addition(zero,multiplication(esk1_1(esk2_0),X1))=multiplication(esk1_1(esk2_0),addition(esk2_0,X1))),inference(spm,[status(thm)],[35,40563,theory(equality)])).
% cnf(40778,negated_conjecture,(multiplication(esk1_1(esk2_0),X1)=multiplication(esk1_1(esk2_0),addition(esk2_0,X1))),inference(rw,[status(thm)],[40722,123,theory(equality)])).
% cnf(41180,negated_conjecture,(multiplication(esk1_1(esk3_0),one)=multiplication(esk1_1(esk3_0),c(esk3_0))|~test(esk3_0)),inference(spm,[status(thm)],[40660,4809,theory(equality)])).
% cnf(41231,negated_conjecture,(esk1_1(esk3_0)=multiplication(esk1_1(esk3_0),c(esk3_0))|~test(esk3_0)),inference(rw,[status(thm)],[41180,31,theory(equality)])).
% cnf(41232,negated_conjecture,(esk1_1(esk3_0)=multiplication(esk1_1(esk3_0),c(esk3_0))|$false),inference(rw,[status(thm)],[41231,80,theory(equality)])).
% cnf(41233,negated_conjecture,(esk1_1(esk3_0)=multiplication(esk1_1(esk3_0),c(esk3_0))),inference(cn,[status(thm)],[41232,theory(equality)])).
% cnf(42212,negated_conjecture,(multiplication(esk1_1(esk2_0),one)=multiplication(esk1_1(esk2_0),c(esk2_0))|~test(esk2_0)),inference(spm,[status(thm)],[40778,4809,theory(equality)])).
% cnf(42263,negated_conjecture,(esk1_1(esk2_0)=multiplication(esk1_1(esk2_0),c(esk2_0))|~test(esk2_0)),inference(rw,[status(thm)],[42212,31,theory(equality)])).
% cnf(42264,negated_conjecture,(esk1_1(esk2_0)=multiplication(esk1_1(esk2_0),c(esk2_0))|$false),inference(rw,[status(thm)],[42263,79,theory(equality)])).
% cnf(42265,negated_conjecture,(esk1_1(esk2_0)=multiplication(esk1_1(esk2_0),c(esk2_0))),inference(cn,[status(thm)],[42264,theory(equality)])).
% cnf(44441,negated_conjecture,(addition(X1,multiplication(esk2_0,multiplication(esk3_0,X1)))=X1),inference(rw,[status(thm)],[16588,23,theory(equality)])).
% cnf(48461,plain,(complement(X1,esk1_1(X1))|multiplication(esk1_1(X1),X1)!=zero|~test(X1)),inference(csr,[status(thm)],[850,86])).
% cnf(48462,plain,(complement(X1,esk1_1(X1))|~test(X1)),inference(csr,[status(thm)],[48461,88])).
% cnf(48466,plain,(c(X1)=esk1_1(X1)|~test(X1)),inference(spm,[status(thm)],[50,48462,theory(equality)])).
% cnf(48512,negated_conjecture,(multiplication(addition(esk3_0,X1),c(esk3_0))=multiplication(X1,c(esk3_0))|~test(esk3_0)),inference(spm,[status(thm)],[32457,48466,theory(equality)])).
% cnf(48562,negated_conjecture,(multiplication(addition(esk2_0,X1),c(esk2_0))=multiplication(X1,c(esk2_0))|~test(esk2_0)),inference(spm,[status(thm)],[32924,48466,theory(equality)])).
% cnf(48696,negated_conjecture,(multiplication(addition(esk3_0,X1),c(esk3_0))=multiplication(X1,c(esk3_0))|$false),inference(rw,[status(thm)],[48512,80,theory(equality)])).
% cnf(48697,negated_conjecture,(multiplication(addition(esk3_0,X1),c(esk3_0))=multiplication(X1,c(esk3_0))),inference(cn,[status(thm)],[48696,theory(equality)])).
% cnf(48827,negated_conjecture,(multiplication(addition(esk2_0,X1),c(esk2_0))=multiplication(X1,c(esk2_0))|$false),inference(rw,[status(thm)],[48562,79,theory(equality)])).
% cnf(48828,negated_conjecture,(multiplication(addition(esk2_0,X1),c(esk2_0))=multiplication(X1,c(esk2_0))),inference(cn,[status(thm)],[48827,theory(equality)])).
% cnf(52061,negated_conjecture,(multiplication(one,c(esk3_0))=multiplication(esk1_1(esk3_0),c(esk3_0))|~test(esk3_0)),inference(spm,[status(thm)],[48697,85,theory(equality)])).
% cnf(52125,negated_conjecture,(c(esk3_0)=multiplication(esk1_1(esk3_0),c(esk3_0))|~test(esk3_0)),inference(rw,[status(thm)],[52061,33,theory(equality)])).
% cnf(52126,negated_conjecture,(c(esk3_0)=esk1_1(esk3_0)|~test(esk3_0)),inference(rw,[status(thm)],[52125,41233,theory(equality)])).
% cnf(52127,negated_conjecture,(c(esk3_0)=esk1_1(esk3_0)|$false),inference(rw,[status(thm)],[52126,80,theory(equality)])).
% cnf(52128,negated_conjecture,(c(esk3_0)=esk1_1(esk3_0)),inference(cn,[status(thm)],[52127,theory(equality)])).
% cnf(52146,negated_conjecture,(addition(esk3_0,c(esk3_0))=one|~test(esk3_0)),inference(spm,[status(thm)],[85,52128,theory(equality)])).
% cnf(52243,negated_conjecture,(addition(esk3_0,c(esk3_0))=one|$false),inference(rw,[status(thm)],[52146,80,theory(equality)])).
% cnf(52244,negated_conjecture,(addition(esk3_0,c(esk3_0))=one),inference(cn,[status(thm)],[52243,theory(equality)])).
% cnf(54145,negated_conjecture,(multiplication(one,c(esk2_0))=multiplication(esk1_1(esk2_0),c(esk2_0))|~test(esk2_0)),inference(spm,[status(thm)],[48828,85,theory(equality)])).
% cnf(54212,negated_conjecture,(c(esk2_0)=multiplication(esk1_1(esk2_0),c(esk2_0))|~test(esk2_0)),inference(rw,[status(thm)],[54145,33,theory(equality)])).
% cnf(54213,negated_conjecture,(c(esk2_0)=esk1_1(esk2_0)|~test(esk2_0)),inference(rw,[status(thm)],[54212,42265,theory(equality)])).
% cnf(54214,negated_conjecture,(c(esk2_0)=esk1_1(esk2_0)|$false),inference(rw,[status(thm)],[54213,79,theory(equality)])).
% cnf(54215,negated_conjecture,(c(esk2_0)=esk1_1(esk2_0)),inference(cn,[status(thm)],[54214,theory(equality)])).
% cnf(152862,negated_conjecture,(addition(multiplication(addition(one,X1),esk3_0),X2)=addition(esk3_0,addition(multiplication(X1,esk3_0),X2))),inference(rw,[status(thm)],[31261,32310,theory(equality)])).
% cnf(153339,negated_conjecture,(addition(multiplication(one,esk3_0),X1)=addition(esk3_0,addition(multiplication(multiplication(esk2_0,multiplication(esk3_0,one)),esk3_0),X1))),inference(spm,[status(thm)],[152862,44441,theory(equality)])).
% cnf(153929,negated_conjecture,(addition(esk3_0,X1)=addition(esk3_0,addition(multiplication(multiplication(esk2_0,multiplication(esk3_0,one)),esk3_0),X1))),inference(rw,[status(thm)],[153339,33,theory(equality)])).
% cnf(153930,negated_conjecture,(addition(esk3_0,X1)=addition(esk3_0,addition(multiplication(esk2_0,esk3_0),X1))),inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[153929,31,theory(equality)]),29,theory(equality)]),31193,theory(equality)])).
% cnf(154986,negated_conjecture,(addition(esk3_0,multiplication(esk2_0,addition(esk3_0,X1)))=addition(esk3_0,multiplication(esk2_0,X1))),inference(spm,[status(thm)],[153930,35,theory(equality)])).
% cnf(156384,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)],[154986,85,theory(equality)])).
% cnf(156546,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)],[156384,31,theory(equality)]),23,theory(equality)])).
% cnf(156547,negated_conjecture,(addition(esk2_0,esk3_0)=addition(esk3_0,multiplication(esk2_0,c(esk3_0)))|~test(esk3_0)),inference(rw,[status(thm)],[156546,52128,theory(equality)])).
% cnf(156548,negated_conjecture,(addition(esk2_0,esk3_0)=addition(esk3_0,multiplication(esk2_0,c(esk3_0)))|$false),inference(rw,[status(thm)],[156547,80,theory(equality)])).
% cnf(156549,negated_conjecture,(addition(esk2_0,esk3_0)=addition(esk3_0,multiplication(esk2_0,c(esk3_0)))),inference(cn,[status(thm)],[156548,theory(equality)])).
% cnf(156728,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)],[1747,156549,theory(equality)])).
% cnf(289186,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)],[156728,122,theory(equality)])).
% cnf(289418,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)],[289186,85,theory(equality)])).
% cnf(289635,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)],[289418,33,theory(equality)]),52244,theory(equality)])).
% cnf(289636,negated_conjecture,(one=addition(esk2_0,addition(esk3_0,multiplication(c(esk2_0),c(esk3_0))))|~test(esk2_0)),inference(rw,[status(thm)],[289635,54215,theory(equality)])).
% cnf(289637,negated_conjecture,(one=addition(esk2_0,addition(esk3_0,multiplication(c(esk2_0),c(esk3_0))))|$false),inference(rw,[status(thm)],[289636,79,theory(equality)])).
% cnf(289638,negated_conjecture,(one=addition(esk2_0,addition(esk3_0,multiplication(c(esk2_0),c(esk3_0))))),inference(cn,[status(thm)],[289637,theory(equality)])).
% cnf(289639,negated_conjecture,($false),inference(sr,[status(thm)],[289638,5039,theory(equality)])).
% cnf(289640,negated_conjecture,($false),289639,['proof']).
% # SZS output end CNFRefutation
% # Processed clauses : 10139
% # ...of these trivial : 1313
% # ...subsumed : 7245
% # ...remaining for further processing: 1581
% # Other redundant clauses eliminated : 6
% # Clauses deleted for lack of memory : 0
% # Backward-subsumed : 27
% # Backward-rewritten : 304
% # Generated clauses : 138288
% # ...of the previous two non-trivial : 92385
% # Contextual simplify-reflections : 702
% # Paramodulations : 138244
% # Factorizations : 2
% # Equation resolutions : 42
% # Current number of processed clauses: 1250
% # Positive orientable unit clauses: 536
% # Positive unorientable unit clauses: 5
% # Negative unit clauses : 2
% # Non-unit-clauses : 707
% # Current number of unprocessed clauses: 71367
% # ...number of literals in the above : 161920
% # Clause-clause subsumption calls (NU) : 55168
% # Rec. Clause-clause subsumption calls : 54224
% # Unit Clause-clause subsumption calls : 134
% # Rewrite failures with RHS unbound : 0
% # Indexed BW rewrite attempts : 1761
% # Indexed BW rewrite successes : 335
% # Backwards rewriting index: 874 leaves, 1.66+/-1.640 terms/leaf
% # Paramod-from index: 482 leaves, 1.62+/-1.489 terms/leaf
% # Paramod-into index: 675 leaves, 1.70+/-1.695 terms/leaf
% # -------------------------------------------------
% # User time : 3.972 s
% # System time : 0.162 s
% # Total time : 4.134 s
% # Maximum resident set size: 0 pages
% PrfWatch: 7.82 CPU 7.96 WC
% FINAL PrfWatch: 7.82 CPU 7.96 WC
% SZS output end Solution for /tmp/SystemOnTPTP29343/KLE011+3.tptp
%
%------------------------------------------------------------------------------