TSTP Solution File: KLE023+1 by SRASS---0.1
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- Process Solution
%------------------------------------------------------------------------------
% File : SRASS---0.1
% Problem : KLE023+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 : art02.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 07:35:16 EST 2010
% Result : Theorem 15.33s
% Output : Solution 15.33s
% 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/SystemOnTPTP8451/KLE023+1.tptp
% Adding relevance values
% Extracting the conjecture
% Sorting axioms by relevance
% Looking for THM ...
% found
% SZS status THM for /tmp/SystemOnTPTP8451/KLE023+1.tptp
% SZS output start Solution for /tmp/SystemOnTPTP8451/KLE023+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 8547
% TreeLimitedRun: ----------------------------------------------------------
% PrfWatch: 0.00 CPU 0.00 WC
% PrfWatch: 1.92 CPU 2.01 WC
% PrfWatch: 3.91 CPU 4.01 WC
% PrfWatch: 5.90 CPU 6.02 WC
% # Preprocessing time : 0.012 s
% # Problem is unsatisfiable (or provable), constructing proof object
% # SZS status Theorem
% PrfWatch: 7.89 CPU 8.02 WC
% PrfWatch: 9.87 CPU 10.03 WC
% PrfWatch: 11.86 CPU 12.03 WC
% PrfWatch: 13.86 CPU 14.04 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]:![X2]:![X3]:multiplication(X1,addition(X2,X3))=addition(multiplication(X1,X2),multiplication(X1,X3)),file('/tmp/SRASS.s.p', right_distributivity)).
% fof(6, axiom,![X1]:![X2]:![X3]:multiplication(addition(X1,X2),X3)=addition(multiplication(X1,X3),multiplication(X2,X3)),file('/tmp/SRASS.s.p', left_distributivity)).
% fof(8, axiom,![X4]:![X5]:(test(X4)=>(c(X4)=X5<=>complement(X4,X5))),file('/tmp/SRASS.s.p', test_3)).
% fof(9, axiom,![X4]:(test(X4)<=>?[X5]:complement(X5,X4)),file('/tmp/SRASS.s.p', test_1)).
% fof(10, axiom,![X1]:addition(X1,zero)=X1,file('/tmp/SRASS.s.p', additive_identity)).
% fof(11, axiom,![X1]:multiplication(X1,zero)=zero,file('/tmp/SRASS.s.p', right_annihilation)).
% fof(12, axiom,![X1]:multiplication(zero,X1)=zero,file('/tmp/SRASS.s.p', left_annihilation)).
% fof(13, axiom,![X1]:multiplication(X1,one)=X1,file('/tmp/SRASS.s.p', multiplicative_right_identity)).
% fof(14, axiom,![X1]:multiplication(one,X1)=X1,file('/tmp/SRASS.s.p', multiplicative_left_identity)).
% fof(15, axiom,![X1]:![X2]:(leq(X1,X2)<=>addition(X1,X2)=X2),file('/tmp/SRASS.s.p', order)).
% fof(16, axiom,![X4]:![X5]:(complement(X5,X4)<=>((multiplication(X4,X5)=zero&multiplication(X5,X4)=zero)&addition(X4,X5)=one)),file('/tmp/SRASS.s.p', test_2)).
% fof(17, conjecture,![X4]:![X5]:![X6]:((test(X5)&test(X6))=>(addition(multiplication(X5,X4),multiplication(X4,X6))=multiplication(X4,X6)=>addition(multiplication(X4,c(X6)),multiplication(c(X5),X4))=multiplication(c(X5),X4))),file('/tmp/SRASS.s.p', goals)).
% fof(18, negated_conjecture,~(![X4]:![X5]:![X6]:((test(X5)&test(X6))=>(addition(multiplication(X5,X4),multiplication(X4,X6))=multiplication(X4,X6)=>addition(multiplication(X4,c(X6)),multiplication(c(X5),X4))=multiplication(c(X5),X4)))),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,![X4]:![X5]:![X6]:multiplication(X4,addition(X5,X6))=addition(multiplication(X4,X5),multiplication(X4,X6)),inference(variable_rename,[status(thm)],[5])).
% 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)],[6])).
% cnf(31,plain,(multiplication(addition(X1,X2),X3)=addition(multiplication(X1,X3),multiplication(X2,X3))),inference(split_conjunct,[status(thm)],[30])).
% fof(35, plain,![X4]:![X5]:(~(test(X4))|((~(c(X4)=X5)|complement(X4,X5))&(~(complement(X4,X5))|c(X4)=X5))),inference(fof_nnf,[status(thm)],[8])).
% fof(36, plain,![X6]:![X7]:(~(test(X6))|((~(c(X6)=X7)|complement(X6,X7))&(~(complement(X6,X7))|c(X6)=X7))),inference(variable_rename,[status(thm)],[35])).
% fof(37, plain,![X6]:![X7]:(((~(c(X6)=X7)|complement(X6,X7))|~(test(X6)))&((~(complement(X6,X7))|c(X6)=X7)|~(test(X6)))),inference(distribute,[status(thm)],[36])).
% cnf(38,plain,(c(X1)=X2|~test(X1)|~complement(X1,X2)),inference(split_conjunct,[status(thm)],[37])).
% cnf(39,plain,(complement(X1,X2)|~test(X1)|c(X1)!=X2),inference(split_conjunct,[status(thm)],[37])).
% fof(40, plain,![X4]:((~(test(X4))|?[X5]:complement(X5,X4))&(![X5]:~(complement(X5,X4))|test(X4))),inference(fof_nnf,[status(thm)],[9])).
% fof(41, plain,![X6]:((~(test(X6))|?[X7]:complement(X7,X6))&(![X8]:~(complement(X8,X6))|test(X6))),inference(variable_rename,[status(thm)],[40])).
% fof(42, plain,![X6]:((~(test(X6))|complement(esk1_1(X6),X6))&(![X8]:~(complement(X8,X6))|test(X6))),inference(skolemize,[status(esa)],[41])).
% fof(43, plain,![X6]:![X8]:((~(complement(X8,X6))|test(X6))&(~(test(X6))|complement(esk1_1(X6),X6))),inference(shift_quantors,[status(thm)],[42])).
% cnf(44,plain,(complement(esk1_1(X1),X1)|~test(X1)),inference(split_conjunct,[status(thm)],[43])).
% fof(46, plain,![X2]:addition(X2,zero)=X2,inference(variable_rename,[status(thm)],[10])).
% cnf(47,plain,(addition(X1,zero)=X1),inference(split_conjunct,[status(thm)],[46])).
% fof(48, plain,![X2]:multiplication(X2,zero)=zero,inference(variable_rename,[status(thm)],[11])).
% cnf(49,plain,(multiplication(X1,zero)=zero),inference(split_conjunct,[status(thm)],[48])).
% fof(50, plain,![X2]:multiplication(zero,X2)=zero,inference(variable_rename,[status(thm)],[12])).
% cnf(51,plain,(multiplication(zero,X1)=zero),inference(split_conjunct,[status(thm)],[50])).
% fof(52, plain,![X2]:multiplication(X2,one)=X2,inference(variable_rename,[status(thm)],[13])).
% cnf(53,plain,(multiplication(X1,one)=X1),inference(split_conjunct,[status(thm)],[52])).
% fof(54, plain,![X2]:multiplication(one,X2)=X2,inference(variable_rename,[status(thm)],[14])).
% cnf(55,plain,(multiplication(one,X1)=X1),inference(split_conjunct,[status(thm)],[54])).
% fof(56, plain,![X1]:![X2]:((~(leq(X1,X2))|addition(X1,X2)=X2)&(~(addition(X1,X2)=X2)|leq(X1,X2))),inference(fof_nnf,[status(thm)],[15])).
% fof(57, plain,![X3]:![X4]:((~(leq(X3,X4))|addition(X3,X4)=X4)&(~(addition(X3,X4)=X4)|leq(X3,X4))),inference(variable_rename,[status(thm)],[56])).
% cnf(58,plain,(leq(X1,X2)|addition(X1,X2)!=X2),inference(split_conjunct,[status(thm)],[57])).
% cnf(59,plain,(addition(X1,X2)=X2|~leq(X1,X2)),inference(split_conjunct,[status(thm)],[57])).
% fof(60, plain,![X4]:![X5]:((~(complement(X5,X4))|((multiplication(X4,X5)=zero&multiplication(X5,X4)=zero)&addition(X4,X5)=one))&(((~(multiplication(X4,X5)=zero)|~(multiplication(X5,X4)=zero))|~(addition(X4,X5)=one))|complement(X5,X4))),inference(fof_nnf,[status(thm)],[16])).
% fof(61, plain,![X6]:![X7]:((~(complement(X7,X6))|((multiplication(X6,X7)=zero&multiplication(X7,X6)=zero)&addition(X6,X7)=one))&(((~(multiplication(X6,X7)=zero)|~(multiplication(X7,X6)=zero))|~(addition(X6,X7)=one))|complement(X7,X6))),inference(variable_rename,[status(thm)],[60])).
% fof(62, plain,![X6]:![X7]:((((multiplication(X6,X7)=zero|~(complement(X7,X6)))&(multiplication(X7,X6)=zero|~(complement(X7,X6))))&(addition(X6,X7)=one|~(complement(X7,X6))))&(((~(multiplication(X6,X7)=zero)|~(multiplication(X7,X6)=zero))|~(addition(X6,X7)=one))|complement(X7,X6))),inference(distribute,[status(thm)],[61])).
% cnf(63,plain,(complement(X1,X2)|addition(X2,X1)!=one|multiplication(X1,X2)!=zero|multiplication(X2,X1)!=zero),inference(split_conjunct,[status(thm)],[62])).
% cnf(64,plain,(addition(X2,X1)=one|~complement(X1,X2)),inference(split_conjunct,[status(thm)],[62])).
% cnf(65,plain,(multiplication(X1,X2)=zero|~complement(X1,X2)),inference(split_conjunct,[status(thm)],[62])).
% cnf(66,plain,(multiplication(X2,X1)=zero|~complement(X1,X2)),inference(split_conjunct,[status(thm)],[62])).
% fof(67, negated_conjecture,?[X4]:?[X5]:?[X6]:((test(X5)&test(X6))&(addition(multiplication(X5,X4),multiplication(X4,X6))=multiplication(X4,X6)&~(addition(multiplication(X4,c(X6)),multiplication(c(X5),X4))=multiplication(c(X5),X4)))),inference(fof_nnf,[status(thm)],[18])).
% fof(68, negated_conjecture,?[X7]:?[X8]:?[X9]:((test(X8)&test(X9))&(addition(multiplication(X8,X7),multiplication(X7,X9))=multiplication(X7,X9)&~(addition(multiplication(X7,c(X9)),multiplication(c(X8),X7))=multiplication(c(X8),X7)))),inference(variable_rename,[status(thm)],[67])).
% fof(69, negated_conjecture,((test(esk3_0)&test(esk4_0))&(addition(multiplication(esk3_0,esk2_0),multiplication(esk2_0,esk4_0))=multiplication(esk2_0,esk4_0)&~(addition(multiplication(esk2_0,c(esk4_0)),multiplication(c(esk3_0),esk2_0))=multiplication(c(esk3_0),esk2_0)))),inference(skolemize,[status(esa)],[68])).
% cnf(70,negated_conjecture,(addition(multiplication(esk2_0,c(esk4_0)),multiplication(c(esk3_0),esk2_0))!=multiplication(c(esk3_0),esk2_0)),inference(split_conjunct,[status(thm)],[69])).
% cnf(71,negated_conjecture,(addition(multiplication(esk3_0,esk2_0),multiplication(esk2_0,esk4_0))=multiplication(esk2_0,esk4_0)),inference(split_conjunct,[status(thm)],[69])).
% cnf(72,negated_conjecture,(test(esk4_0)),inference(split_conjunct,[status(thm)],[69])).
% cnf(73,negated_conjecture,(test(esk3_0)),inference(split_conjunct,[status(thm)],[69])).
% cnf(80,plain,(complement(X1,c(X1))|~test(X1)),inference(er,[status(thm)],[39,theory(equality)])).
% cnf(83,plain,(addition(X1,esk1_1(X1))=one|~test(X1)),inference(spm,[status(thm)],[64,44,theory(equality)])).
% cnf(84,plain,(multiplication(X1,esk1_1(X1))=zero|~test(X1)),inference(spm,[status(thm)],[66,44,theory(equality)])).
% cnf(85,plain,(multiplication(esk1_1(X1),X1)=zero|~test(X1)),inference(spm,[status(thm)],[65,44,theory(equality)])).
% cnf(101,plain,(addition(X1,X2)=addition(X1,addition(X1,X2))),inference(spm,[status(thm)],[23,25,theory(equality)])).
% cnf(123,plain,(addition(zero,X1)=X1),inference(spm,[status(thm)],[47,21,theory(equality)])).
% cnf(127,plain,(complement(X1,X2)|addition(X1,X2)!=one|multiplication(X2,X1)!=zero|multiplication(X1,X2)!=zero),inference(spm,[status(thm)],[63,21,theory(equality)])).
% cnf(134,negated_conjecture,(addition(multiplication(esk2_0,esk4_0),multiplication(esk3_0,esk2_0))=multiplication(esk2_0,esk4_0)),inference(rw,[status(thm)],[71,21,theory(equality)])).
% cnf(148,plain,(addition(multiplication(X1,X2),X1)=multiplication(X1,addition(X2,one))),inference(spm,[status(thm)],[29,53,theory(equality)])).
% cnf(225,plain,(addition(c(X1),X1)=one|~test(X1)),inference(spm,[status(thm)],[64,80,theory(equality)])).
% cnf(232,plain,(leq(X1,addition(X1,X2))),inference(spm,[status(thm)],[58,101,theory(equality)])).
% cnf(263,plain,(leq(X1,addition(X2,X1))),inference(spm,[status(thm)],[232,21,theory(equality)])).
% cnf(272,plain,(leq(multiplication(X1,X2),multiplication(X1,addition(X3,X2)))),inference(spm,[status(thm)],[263,29,theory(equality)])).
% cnf(336,plain,(addition(X1,one)=one|~test(X1)),inference(spm,[status(thm)],[101,83,theory(equality)])).
% cnf(473,negated_conjecture,(addition(esk4_0,one)=one),inference(spm,[status(thm)],[336,72,theory(equality)])).
% cnf(509,negated_conjecture,(addition(one,esk4_0)=one),inference(rw,[status(thm)],[473,21,theory(equality)])).
% cnf(511,negated_conjecture,(addition(one,X1)=addition(one,addition(esk4_0,X1))),inference(spm,[status(thm)],[23,509,theory(equality)])).
% cnf(555,plain,(zero=multiplication(X1,multiplication(X2,esk1_1(multiplication(X1,X2))))|~test(multiplication(X1,X2))),inference(spm,[status(thm)],[27,84,theory(equality)])).
% cnf(559,plain,(addition(multiplication(X1,X2),zero)=multiplication(X1,addition(X2,esk1_1(X1)))|~test(X1)),inference(spm,[status(thm)],[29,84,theory(equality)])).
% cnf(567,plain,(multiplication(X1,X2)=multiplication(X1,addition(X2,esk1_1(X1)))|~test(X1)),inference(rw,[status(thm)],[559,47,theory(equality)])).
% cnf(743,plain,(multiplication(zero,X2)=multiplication(esk1_1(X1),multiplication(X1,X2))|~test(X1)),inference(spm,[status(thm)],[27,85,theory(equality)])).
% cnf(753,plain,(zero=multiplication(esk1_1(X1),multiplication(X1,X2))|~test(X1)),inference(rw,[status(thm)],[743,51,theory(equality)])).
% cnf(1216,plain,(complement(X1,esk1_1(X1))|multiplication(esk1_1(X1),X1)!=zero|multiplication(X1,esk1_1(X1))!=zero|~test(X1)),inference(spm,[status(thm)],[127,83,theory(equality)])).
% cnf(3067,plain,(addition(X1,multiplication(X1,X2))=multiplication(X1,addition(X2,one))),inference(rw,[status(thm)],[148,21,theory(equality)])).
% cnf(4969,plain,(addition(X1,c(X1))=one|~test(X1)),inference(rw,[status(thm)],[225,21,theory(equality)])).
% cnf(4970,negated_conjecture,(addition(one,one)=addition(one,c(esk4_0))|~test(esk4_0)),inference(spm,[status(thm)],[511,4969,theory(equality)])).
% cnf(5033,negated_conjecture,(one=addition(one,c(esk4_0))|~test(esk4_0)),inference(rw,[status(thm)],[4970,25,theory(equality)])).
% cnf(5034,negated_conjecture,(one=addition(one,c(esk4_0))|$false),inference(rw,[status(thm)],[5033,72,theory(equality)])).
% cnf(5035,negated_conjecture,(one=addition(one,c(esk4_0))),inference(cn,[status(thm)],[5034,theory(equality)])).
% cnf(10021,negated_conjecture,(leq(multiplication(X1,c(esk4_0)),multiplication(X1,one))),inference(spm,[status(thm)],[272,5035,theory(equality)])).
% cnf(10097,negated_conjecture,(leq(multiplication(X1,c(esk4_0)),X1)),inference(rw,[status(thm)],[10021,53,theory(equality)])).
% cnf(10208,negated_conjecture,(leq(multiplication(X1,multiplication(X2,c(esk4_0))),multiplication(X1,X2))),inference(spm,[status(thm)],[10097,27,theory(equality)])).
% cnf(25484,plain,(multiplication(X1,one)=multiplication(X1,X1)|~test(X1)),inference(spm,[status(thm)],[567,83,theory(equality)])).
% cnf(25562,plain,(X1=multiplication(X1,X1)|~test(X1)),inference(rw,[status(thm)],[25484,53,theory(equality)])).
% cnf(33746,negated_conjecture,(multiplication(esk4_0,esk4_0)=esk4_0),inference(spm,[status(thm)],[25562,72,theory(equality)])).
% cnf(33747,negated_conjecture,(multiplication(esk3_0,esk3_0)=esk3_0),inference(spm,[status(thm)],[25562,73,theory(equality)])).
% cnf(33800,negated_conjecture,(multiplication(esk4_0,X1)=multiplication(esk4_0,multiplication(esk4_0,X1))),inference(spm,[status(thm)],[27,33746,theory(equality)])).
% cnf(33815,negated_conjecture,(multiplication(esk4_0,multiplication(esk4_0,esk1_1(esk4_0)))=zero|~test(esk4_0)),inference(spm,[status(thm)],[555,33746,theory(equality)])).
% cnf(33816,negated_conjecture,(multiplication(esk1_1(esk4_0),esk4_0)=zero|~test(esk4_0)),inference(spm,[status(thm)],[753,33746,theory(equality)])).
% cnf(33865,negated_conjecture,(multiplication(esk4_0,multiplication(esk4_0,esk1_1(esk4_0)))=zero|$false),inference(rw,[status(thm)],[33815,72,theory(equality)])).
% cnf(33866,negated_conjecture,(multiplication(esk4_0,multiplication(esk4_0,esk1_1(esk4_0)))=zero),inference(cn,[status(thm)],[33865,theory(equality)])).
% cnf(33867,negated_conjecture,(multiplication(esk1_1(esk4_0),esk4_0)=zero|$false),inference(rw,[status(thm)],[33816,72,theory(equality)])).
% cnf(33868,negated_conjecture,(multiplication(esk1_1(esk4_0),esk4_0)=zero),inference(cn,[status(thm)],[33867,theory(equality)])).
% cnf(33893,negated_conjecture,(multiplication(esk3_0,X1)=multiplication(esk3_0,multiplication(esk3_0,X1))),inference(spm,[status(thm)],[27,33747,theory(equality)])).
% cnf(33908,negated_conjecture,(multiplication(esk3_0,multiplication(esk3_0,esk1_1(esk3_0)))=zero|~test(esk3_0)),inference(spm,[status(thm)],[555,33747,theory(equality)])).
% cnf(33909,negated_conjecture,(multiplication(esk1_1(esk3_0),esk3_0)=zero|~test(esk3_0)),inference(spm,[status(thm)],[753,33747,theory(equality)])).
% cnf(33959,negated_conjecture,(multiplication(esk3_0,multiplication(esk3_0,esk1_1(esk3_0)))=zero|$false),inference(rw,[status(thm)],[33908,73,theory(equality)])).
% cnf(33960,negated_conjecture,(multiplication(esk3_0,multiplication(esk3_0,esk1_1(esk3_0)))=zero),inference(cn,[status(thm)],[33959,theory(equality)])).
% cnf(33961,negated_conjecture,(multiplication(esk1_1(esk3_0),esk3_0)=zero|$false),inference(rw,[status(thm)],[33909,73,theory(equality)])).
% cnf(33962,negated_conjecture,(multiplication(esk1_1(esk3_0),esk3_0)=zero),inference(cn,[status(thm)],[33961,theory(equality)])).
% cnf(33989,negated_conjecture,(addition(zero,multiplication(esk1_1(esk4_0),X1))=multiplication(esk1_1(esk4_0),addition(esk4_0,X1))),inference(spm,[status(thm)],[29,33868,theory(equality)])).
% cnf(34028,negated_conjecture,(multiplication(esk1_1(esk4_0),X1)=multiplication(esk1_1(esk4_0),addition(esk4_0,X1))),inference(rw,[status(thm)],[33989,123,theory(equality)])).
% cnf(34111,negated_conjecture,(addition(zero,multiplication(esk1_1(esk3_0),X1))=multiplication(esk1_1(esk3_0),addition(esk3_0,X1))),inference(spm,[status(thm)],[29,33962,theory(equality)])).
% cnf(34150,negated_conjecture,(multiplication(esk1_1(esk3_0),X1)=multiplication(esk1_1(esk3_0),addition(esk3_0,X1))),inference(rw,[status(thm)],[34111,123,theory(equality)])).
% cnf(34307,negated_conjecture,(multiplication(esk4_0,esk1_1(esk4_0))=zero),inference(rw,[status(thm)],[33866,33800,theory(equality)])).
% cnf(34312,negated_conjecture,(addition(zero,multiplication(X1,esk1_1(esk4_0)))=multiplication(addition(esk4_0,X1),esk1_1(esk4_0))),inference(spm,[status(thm)],[31,34307,theory(equality)])).
% cnf(34356,negated_conjecture,(multiplication(X1,esk1_1(esk4_0))=multiplication(addition(esk4_0,X1),esk1_1(esk4_0))),inference(rw,[status(thm)],[34312,123,theory(equality)])).
% cnf(34638,negated_conjecture,(addition(multiplication(esk3_0,X1),multiplication(esk3_0,X2))=multiplication(esk3_0,addition(X1,multiplication(esk3_0,X2)))),inference(spm,[status(thm)],[29,33893,theory(equality)])).
% cnf(34688,negated_conjecture,(multiplication(esk3_0,addition(X1,X2))=multiplication(esk3_0,addition(X1,multiplication(esk3_0,X2)))),inference(rw,[status(thm)],[34638,29,theory(equality)])).
% cnf(34956,negated_conjecture,(multiplication(esk3_0,esk1_1(esk3_0))=zero),inference(rw,[status(thm)],[33960,33893,theory(equality)])).
% cnf(34961,negated_conjecture,(addition(zero,multiplication(X1,esk1_1(esk3_0)))=multiplication(addition(esk3_0,X1),esk1_1(esk3_0))),inference(spm,[status(thm)],[31,34956,theory(equality)])).
% cnf(35005,negated_conjecture,(multiplication(X1,esk1_1(esk3_0))=multiplication(addition(esk3_0,X1),esk1_1(esk3_0))),inference(rw,[status(thm)],[34961,123,theory(equality)])).
% cnf(36156,negated_conjecture,(multiplication(esk1_1(esk4_0),one)=multiplication(esk1_1(esk4_0),c(esk4_0))|~test(esk4_0)),inference(spm,[status(thm)],[34028,4969,theory(equality)])).
% cnf(36206,negated_conjecture,(esk1_1(esk4_0)=multiplication(esk1_1(esk4_0),c(esk4_0))|~test(esk4_0)),inference(rw,[status(thm)],[36156,53,theory(equality)])).
% cnf(36207,negated_conjecture,(esk1_1(esk4_0)=multiplication(esk1_1(esk4_0),c(esk4_0))|$false),inference(rw,[status(thm)],[36206,72,theory(equality)])).
% cnf(36208,negated_conjecture,(esk1_1(esk4_0)=multiplication(esk1_1(esk4_0),c(esk4_0))),inference(cn,[status(thm)],[36207,theory(equality)])).
% cnf(39425,negated_conjecture,(multiplication(one,esk1_1(esk3_0))=multiplication(c(esk3_0),esk1_1(esk3_0))|~test(esk3_0)),inference(spm,[status(thm)],[35005,4969,theory(equality)])).
% cnf(39479,negated_conjecture,(esk1_1(esk3_0)=multiplication(c(esk3_0),esk1_1(esk3_0))|~test(esk3_0)),inference(rw,[status(thm)],[39425,55,theory(equality)])).
% cnf(39480,negated_conjecture,(esk1_1(esk3_0)=multiplication(c(esk3_0),esk1_1(esk3_0))|$false),inference(rw,[status(thm)],[39479,73,theory(equality)])).
% cnf(39481,negated_conjecture,(esk1_1(esk3_0)=multiplication(c(esk3_0),esk1_1(esk3_0))),inference(cn,[status(thm)],[39480,theory(equality)])).
% cnf(44818,plain,(complement(X1,esk1_1(X1))|multiplication(esk1_1(X1),X1)!=zero|~test(X1)),inference(csr,[status(thm)],[1216,84])).
% cnf(44819,plain,(complement(X1,esk1_1(X1))|~test(X1)),inference(csr,[status(thm)],[44818,85])).
% cnf(44823,plain,(c(X1)=esk1_1(X1)|~test(X1)),inference(spm,[status(thm)],[38,44819,theory(equality)])).
% cnf(44862,negated_conjecture,(multiplication(addition(esk4_0,X1),c(esk4_0))=multiplication(X1,c(esk4_0))|~test(esk4_0)),inference(spm,[status(thm)],[34356,44823,theory(equality)])).
% cnf(44954,negated_conjecture,(multiplication(c(esk3_0),addition(esk3_0,X1))=multiplication(c(esk3_0),X1)|~test(esk3_0)),inference(spm,[status(thm)],[34150,44823,theory(equality)])).
% cnf(45054,negated_conjecture,(multiplication(addition(esk4_0,X1),c(esk4_0))=multiplication(X1,c(esk4_0))|$false),inference(rw,[status(thm)],[44862,72,theory(equality)])).
% cnf(45055,negated_conjecture,(multiplication(addition(esk4_0,X1),c(esk4_0))=multiplication(X1,c(esk4_0))),inference(cn,[status(thm)],[45054,theory(equality)])).
% cnf(45296,negated_conjecture,(multiplication(c(esk3_0),addition(esk3_0,X1))=multiplication(c(esk3_0),X1)|$false),inference(rw,[status(thm)],[44954,73,theory(equality)])).
% cnf(45297,negated_conjecture,(multiplication(c(esk3_0),addition(esk3_0,X1))=multiplication(c(esk3_0),X1)),inference(cn,[status(thm)],[45296,theory(equality)])).
% cnf(50425,negated_conjecture,(multiplication(one,c(esk4_0))=multiplication(esk1_1(esk4_0),c(esk4_0))|~test(esk4_0)),inference(spm,[status(thm)],[45055,83,theory(equality)])).
% cnf(50485,negated_conjecture,(c(esk4_0)=multiplication(esk1_1(esk4_0),c(esk4_0))|~test(esk4_0)),inference(rw,[status(thm)],[50425,55,theory(equality)])).
% cnf(50486,negated_conjecture,(c(esk4_0)=esk1_1(esk4_0)|~test(esk4_0)),inference(rw,[status(thm)],[50485,36208,theory(equality)])).
% cnf(50487,negated_conjecture,(c(esk4_0)=esk1_1(esk4_0)|$false),inference(rw,[status(thm)],[50486,72,theory(equality)])).
% cnf(50488,negated_conjecture,(c(esk4_0)=esk1_1(esk4_0)),inference(cn,[status(thm)],[50487,theory(equality)])).
% cnf(51946,negated_conjecture,(multiplication(c(esk3_0),one)=multiplication(c(esk3_0),esk1_1(esk3_0))|~test(esk3_0)),inference(spm,[status(thm)],[45297,83,theory(equality)])).
% cnf(52000,negated_conjecture,(c(esk3_0)=multiplication(c(esk3_0),esk1_1(esk3_0))|~test(esk3_0)),inference(rw,[status(thm)],[51946,53,theory(equality)])).
% cnf(52001,negated_conjecture,(c(esk3_0)=esk1_1(esk3_0)|~test(esk3_0)),inference(rw,[status(thm)],[52000,39481,theory(equality)])).
% cnf(52002,negated_conjecture,(c(esk3_0)=esk1_1(esk3_0)|$false),inference(rw,[status(thm)],[52001,73,theory(equality)])).
% cnf(52003,negated_conjecture,(c(esk3_0)=esk1_1(esk3_0)),inference(cn,[status(thm)],[52002,theory(equality)])).
% cnf(147565,negated_conjecture,(multiplication(esk3_0,multiplication(esk2_0,esk4_0))=multiplication(esk3_0,addition(multiplication(esk2_0,esk4_0),esk2_0))),inference(spm,[status(thm)],[34688,134,theory(equality)])).
% cnf(147751,negated_conjecture,(multiplication(esk3_0,multiplication(esk2_0,esk4_0))=multiplication(esk3_0,esk2_0)),inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[147565,21,theory(equality)]),3067,theory(equality)]),21,theory(equality)]),509,theory(equality)]),53,theory(equality)])).
% cnf(147772,negated_conjecture,(multiplication(multiplication(esk3_0,esk2_0),X1)=multiplication(esk3_0,multiplication(multiplication(esk2_0,esk4_0),X1))),inference(spm,[status(thm)],[27,147751,theory(equality)])).
% cnf(147837,negated_conjecture,(multiplication(esk3_0,multiplication(esk2_0,X1))=multiplication(esk3_0,multiplication(multiplication(esk2_0,esk4_0),X1))),inference(rw,[status(thm)],[147772,27,theory(equality)])).
% cnf(147838,negated_conjecture,(multiplication(esk3_0,multiplication(esk2_0,X1))=multiplication(esk3_0,multiplication(esk2_0,multiplication(esk4_0,X1)))),inference(rw,[status(thm)],[147837,27,theory(equality)])).
% cnf(148257,negated_conjecture,(multiplication(esk3_0,multiplication(esk2_0,zero))=multiplication(esk3_0,multiplication(esk2_0,esk1_1(esk4_0)))|~test(esk4_0)),inference(spm,[status(thm)],[147838,84,theory(equality)])).
% cnf(148310,negated_conjecture,(zero=multiplication(esk3_0,multiplication(esk2_0,esk1_1(esk4_0)))|~test(esk4_0)),inference(rw,[status(thm)],[inference(rw,[status(thm)],[148257,49,theory(equality)]),49,theory(equality)])).
% cnf(148311,negated_conjecture,(zero=multiplication(esk3_0,multiplication(esk2_0,c(esk4_0)))|~test(esk4_0)),inference(rw,[status(thm)],[148310,50488,theory(equality)])).
% cnf(148312,negated_conjecture,(zero=multiplication(esk3_0,multiplication(esk2_0,c(esk4_0)))|$false),inference(rw,[status(thm)],[148311,72,theory(equality)])).
% cnf(148313,negated_conjecture,(zero=multiplication(esk3_0,multiplication(esk2_0,c(esk4_0)))),inference(cn,[status(thm)],[148312,theory(equality)])).
% cnf(148353,negated_conjecture,(addition(zero,multiplication(X1,multiplication(esk2_0,c(esk4_0))))=multiplication(addition(esk3_0,X1),multiplication(esk2_0,c(esk4_0)))),inference(spm,[status(thm)],[31,148313,theory(equality)])).
% cnf(148417,negated_conjecture,(multiplication(X1,multiplication(esk2_0,c(esk4_0)))=multiplication(addition(esk3_0,X1),multiplication(esk2_0,c(esk4_0)))),inference(rw,[status(thm)],[148353,123,theory(equality)])).
% cnf(299947,negated_conjecture,(multiplication(one,multiplication(esk2_0,c(esk4_0)))=multiplication(esk1_1(esk3_0),multiplication(esk2_0,c(esk4_0)))|~test(esk3_0)),inference(spm,[status(thm)],[148417,83,theory(equality)])).
% cnf(300109,negated_conjecture,(multiplication(esk2_0,c(esk4_0))=multiplication(esk1_1(esk3_0),multiplication(esk2_0,c(esk4_0)))|~test(esk3_0)),inference(rw,[status(thm)],[299947,55,theory(equality)])).
% cnf(300110,negated_conjecture,(multiplication(esk2_0,c(esk4_0))=multiplication(c(esk3_0),multiplication(esk2_0,c(esk4_0)))|~test(esk3_0)),inference(rw,[status(thm)],[300109,52003,theory(equality)])).
% cnf(300111,negated_conjecture,(multiplication(esk2_0,c(esk4_0))=multiplication(c(esk3_0),multiplication(esk2_0,c(esk4_0)))|$false),inference(rw,[status(thm)],[300110,73,theory(equality)])).
% cnf(300112,negated_conjecture,(multiplication(esk2_0,c(esk4_0))=multiplication(c(esk3_0),multiplication(esk2_0,c(esk4_0)))),inference(cn,[status(thm)],[300111,theory(equality)])).
% cnf(526730,negated_conjecture,(leq(multiplication(esk2_0,c(esk4_0)),multiplication(c(esk3_0),esk2_0))),inference(spm,[status(thm)],[10208,300112,theory(equality)])).
% cnf(527012,negated_conjecture,(addition(multiplication(esk2_0,c(esk4_0)),multiplication(c(esk3_0),esk2_0))=multiplication(c(esk3_0),esk2_0)),inference(spm,[status(thm)],[59,526730,theory(equality)])).
% cnf(527015,negated_conjecture,($false),inference(sr,[status(thm)],[527012,70,theory(equality)])).
% cnf(527016,negated_conjecture,($false),527015,['proof']).
% # SZS output end CNFRefutation
% # Processed clauses : 14824
% # ...of these trivial : 3361
% # ...subsumed : 9505
% # ...remaining for further processing: 1958
% # Other redundant clauses eliminated : 2
% # Clauses deleted for lack of memory : 0
% # Backward-subsumed : 6
% # Backward-rewritten : 417
% # Generated clauses : 258567
% # ...of the previous two non-trivial : 173456
% # Contextual simplify-reflections : 432
% # Paramodulations : 258544
% # Factorizations : 0
% # Equation resolutions : 23
% # Current number of processed clauses: 1535
% # Positive orientable unit clauses: 839
% # Positive unorientable unit clauses: 15
% # Negative unit clauses : 1
% # Non-unit-clauses : 680
% # Current number of unprocessed clauses: 137220
% # ...number of literals in the above : 248824
% # Clause-clause subsumption calls (NU) : 53003
% # Rec. Clause-clause subsumption calls : 52059
% # Unit Clause-clause subsumption calls : 373
% # Rewrite failures with RHS unbound : 0
% # Indexed BW rewrite attempts : 3590
% # Indexed BW rewrite successes : 515
% # Backwards rewriting index: 1110 leaves, 1.78+/-1.822 terms/leaf
% # Paramod-from index: 594 leaves, 1.72+/-1.377 terms/leaf
% # Paramod-into index: 838 leaves, 1.78+/-1.764 terms/leaf
% # -------------------------------------------------
% # User time : 7.449 s
% # System time : 0.283 s
% # Total time : 7.732 s
% # Maximum resident set size: 0 pages
% PrfWatch: 14.50 CPU 14.69 WC
% FINAL PrfWatch: 14.50 CPU 14.69 WC
% SZS output end Solution for /tmp/SystemOnTPTP8451/KLE023+1.tptp
%
%------------------------------------------------------------------------------