TSTP Solution File: KLE012+1 by SRASS---0.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SRASS---0.1
% Problem  : KLE012+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 : 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 07:32:15 EST 2010

% Result   : Theorem 5.98s
% Output   : Solution 5.98s
% 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/SystemOnTPTP19807/KLE012+1.tptp
% Adding relevance values
% Extracting the conjecture
% Sorting axioms by relevance
% Looking for THM       ... 
% found
% SZS status THM for /tmp/SystemOnTPTP19807/KLE012+1.tptp
% SZS output start Solution for /tmp/SystemOnTPTP19807/KLE012+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 19903
% TreeLimitedRun: ----------------------------------------------------------
% PrfWatch: 0.00 CPU 0.00 WC
% PrfWatch: 1.91 CPU 2.01 WC
% # Preprocessing time     : 0.013 s
% # Problem is unsatisfiable (or provable), constructing proof object
% # SZS status Theorem
% PrfWatch: 3.52 CPU 4.01 WC
% # SZS output start CNFRefutation.
% fof(1, axiom,![X1]:![X2]:![X3]:multiplication(X1,multiplication(X2,X3))=multiplication(multiplication(X1,X2),X3),file('/tmp/SRASS.s.p', multiplicative_associativity)).
% fof(2, axiom,![X1]:![X2]:![X3]:multiplication(X1,addition(X2,X3))=addition(multiplication(X1,X2),multiplication(X1,X3)),file('/tmp/SRASS.s.p', right_distributivity)).
% fof(3, axiom,![X1]:![X2]:![X3]:multiplication(addition(X1,X2),X3)=addition(multiplication(X1,X3),multiplication(X2,X3)),file('/tmp/SRASS.s.p', left_distributivity)).
% fof(4, axiom,![X1]:![X2]:addition(X1,X2)=addition(X2,X1),file('/tmp/SRASS.s.p', additive_commutativity)).
% fof(5, axiom,![X3]:![X2]:![X1]:addition(X1,addition(X2,X3))=addition(addition(X1,X2),X3),file('/tmp/SRASS.s.p', additive_associativity)).
% fof(6, axiom,![X1]:addition(X1,X1)=X1,file('/tmp/SRASS.s.p', additive_idempotence)).
% fof(7, axiom,![X4]:(test(X4)<=>?[X5]:complement(X5,X4)),file('/tmp/SRASS.s.p', test_1)).
% fof(10, axiom,![X1]:multiplication(X1,one)=X1,file('/tmp/SRASS.s.p', multiplicative_right_identity)).
% fof(11, axiom,![X1]:multiplication(one,X1)=X1,file('/tmp/SRASS.s.p', multiplicative_left_identity)).
% fof(13, axiom,![X4]:![X5]:(test(X4)=>(c(X4)=X5<=>complement(X4,X5))),file('/tmp/SRASS.s.p', test_3)).
% fof(14, axiom,![X1]:addition(X1,zero)=X1,file('/tmp/SRASS.s.p', additive_identity)).
% fof(15, 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(16, axiom,![X1]:![X2]:(leq(X1,X2)<=>addition(X1,X2)=X2),file('/tmp/SRASS.s.p', order)).
% fof(17, conjecture,![X4]:![X5]:((test(X5)&test(X4))=>multiplication(X4,X5)=multiplication(X5,X4)),file('/tmp/SRASS.s.p', goals)).
% fof(18, negated_conjecture,~(![X4]:![X5]:((test(X5)&test(X4))=>multiplication(X4,X5)=multiplication(X5,X4))),inference(assume_negation,[status(cth)],[17])).
% fof(20, plain,![X4]:![X5]:![X6]:multiplication(X4,multiplication(X5,X6))=multiplication(multiplication(X4,X5),X6),inference(variable_rename,[status(thm)],[1])).
% cnf(21,plain,(multiplication(X1,multiplication(X2,X3))=multiplication(multiplication(X1,X2),X3)),inference(split_conjunct,[status(thm)],[20])).
% fof(22, plain,![X4]:![X5]:![X6]:multiplication(X4,addition(X5,X6))=addition(multiplication(X4,X5),multiplication(X4,X6)),inference(variable_rename,[status(thm)],[2])).
% cnf(23,plain,(multiplication(X1,addition(X2,X3))=addition(multiplication(X1,X2),multiplication(X1,X3))),inference(split_conjunct,[status(thm)],[22])).
% fof(24, plain,![X4]:![X5]:![X6]:multiplication(addition(X4,X5),X6)=addition(multiplication(X4,X6),multiplication(X5,X6)),inference(variable_rename,[status(thm)],[3])).
% cnf(25,plain,(multiplication(addition(X1,X2),X3)=addition(multiplication(X1,X3),multiplication(X2,X3))),inference(split_conjunct,[status(thm)],[24])).
% fof(26, plain,![X3]:![X4]:addition(X3,X4)=addition(X4,X3),inference(variable_rename,[status(thm)],[4])).
% cnf(27,plain,(addition(X1,X2)=addition(X2,X1)),inference(split_conjunct,[status(thm)],[26])).
% fof(28, plain,![X4]:![X5]:![X6]:addition(X6,addition(X5,X4))=addition(addition(X6,X5),X4),inference(variable_rename,[status(thm)],[5])).
% cnf(29,plain,(addition(X1,addition(X2,X3))=addition(addition(X1,X2),X3)),inference(split_conjunct,[status(thm)],[28])).
% fof(30, plain,![X2]:addition(X2,X2)=X2,inference(variable_rename,[status(thm)],[6])).
% cnf(31,plain,(addition(X1,X1)=X1),inference(split_conjunct,[status(thm)],[30])).
% fof(32, plain,![X4]:((~(test(X4))|?[X5]:complement(X5,X4))&(![X5]:~(complement(X5,X4))|test(X4))),inference(fof_nnf,[status(thm)],[7])).
% fof(33, plain,![X6]:((~(test(X6))|?[X7]:complement(X7,X6))&(![X8]:~(complement(X8,X6))|test(X6))),inference(variable_rename,[status(thm)],[32])).
% fof(34, plain,![X6]:((~(test(X6))|complement(esk1_1(X6),X6))&(![X8]:~(complement(X8,X6))|test(X6))),inference(skolemize,[status(esa)],[33])).
% fof(35, plain,![X6]:![X8]:((~(complement(X8,X6))|test(X6))&(~(test(X6))|complement(esk1_1(X6),X6))),inference(shift_quantors,[status(thm)],[34])).
% cnf(36,plain,(complement(esk1_1(X1),X1)|~test(X1)),inference(split_conjunct,[status(thm)],[35])).
% fof(42, plain,![X2]:multiplication(X2,one)=X2,inference(variable_rename,[status(thm)],[10])).
% cnf(43,plain,(multiplication(X1,one)=X1),inference(split_conjunct,[status(thm)],[42])).
% fof(44, plain,![X2]:multiplication(one,X2)=X2,inference(variable_rename,[status(thm)],[11])).
% cnf(45,plain,(multiplication(one,X1)=X1),inference(split_conjunct,[status(thm)],[44])).
% fof(49, plain,![X4]:![X5]:(~(test(X4))|((~(c(X4)=X5)|complement(X4,X5))&(~(complement(X4,X5))|c(X4)=X5))),inference(fof_nnf,[status(thm)],[13])).
% fof(50, plain,![X6]:![X7]:(~(test(X6))|((~(c(X6)=X7)|complement(X6,X7))&(~(complement(X6,X7))|c(X6)=X7))),inference(variable_rename,[status(thm)],[49])).
% fof(51, plain,![X6]:![X7]:(((~(c(X6)=X7)|complement(X6,X7))|~(test(X6)))&((~(complement(X6,X7))|c(X6)=X7)|~(test(X6)))),inference(distribute,[status(thm)],[50])).
% cnf(52,plain,(c(X1)=X2|~test(X1)|~complement(X1,X2)),inference(split_conjunct,[status(thm)],[51])).
% cnf(53,plain,(complement(X1,X2)|~test(X1)|c(X1)!=X2),inference(split_conjunct,[status(thm)],[51])).
% fof(54, plain,![X2]:addition(X2,zero)=X2,inference(variable_rename,[status(thm)],[14])).
% cnf(55,plain,(addition(X1,zero)=X1),inference(split_conjunct,[status(thm)],[54])).
% fof(56, 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)],[15])).
% fof(57, 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)],[56])).
% fof(58, 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)],[57])).
% cnf(59,plain,(complement(X1,X2)|addition(X2,X1)!=one|multiplication(X1,X2)!=zero|multiplication(X2,X1)!=zero),inference(split_conjunct,[status(thm)],[58])).
% cnf(60,plain,(addition(X2,X1)=one|~complement(X1,X2)),inference(split_conjunct,[status(thm)],[58])).
% cnf(61,plain,(multiplication(X1,X2)=zero|~complement(X1,X2)),inference(split_conjunct,[status(thm)],[58])).
% cnf(62,plain,(multiplication(X2,X1)=zero|~complement(X1,X2)),inference(split_conjunct,[status(thm)],[58])).
% fof(63, plain,![X1]:![X2]:((~(leq(X1,X2))|addition(X1,X2)=X2)&(~(addition(X1,X2)=X2)|leq(X1,X2))),inference(fof_nnf,[status(thm)],[16])).
% fof(64, plain,![X3]:![X4]:((~(leq(X3,X4))|addition(X3,X4)=X4)&(~(addition(X3,X4)=X4)|leq(X3,X4))),inference(variable_rename,[status(thm)],[63])).
% cnf(65,plain,(leq(X1,X2)|addition(X1,X2)!=X2),inference(split_conjunct,[status(thm)],[64])).
% cnf(66,plain,(addition(X1,X2)=X2|~leq(X1,X2)),inference(split_conjunct,[status(thm)],[64])).
% fof(67, negated_conjecture,?[X4]:?[X5]:((test(X5)&test(X4))&~(multiplication(X4,X5)=multiplication(X5,X4))),inference(fof_nnf,[status(thm)],[18])).
% fof(68, negated_conjecture,?[X6]:?[X7]:((test(X7)&test(X6))&~(multiplication(X6,X7)=multiplication(X7,X6))),inference(variable_rename,[status(thm)],[67])).
% fof(69, negated_conjecture,((test(esk3_0)&test(esk2_0))&~(multiplication(esk2_0,esk3_0)=multiplication(esk3_0,esk2_0))),inference(skolemize,[status(esa)],[68])).
% cnf(70,negated_conjecture,(multiplication(esk2_0,esk3_0)!=multiplication(esk3_0,esk2_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(75,negated_conjecture,(complement(esk1_1(esk3_0),esk3_0)),inference(spm,[status(thm)],[36,72,theory(equality)])).
% cnf(76,negated_conjecture,(complement(esk1_1(esk2_0),esk2_0)),inference(spm,[status(thm)],[36,71,theory(equality)])).
% cnf(77,plain,(complement(X1,c(X1))|~test(X1)),inference(er,[status(thm)],[53,theory(equality)])).
% cnf(115,plain,(addition(X1,X2)=addition(X1,addition(X1,X2))),inference(spm,[status(thm)],[29,31,theory(equality)])).
% cnf(119,plain,(addition(X3,addition(X1,X2))=addition(X1,addition(X2,X3))),inference(spm,[status(thm)],[29,27,theory(equality)])).
% cnf(120,plain,(addition(zero,X1)=X1),inference(spm,[status(thm)],[55,27,theory(equality)])).
% cnf(122,plain,(leq(X1,X2)|addition(X2,X1)!=X2),inference(spm,[status(thm)],[65,27,theory(equality)])).
% cnf(136,plain,(addition(multiplication(X1,addition(X2,X3)),X4)=addition(multiplication(X1,X2),addition(multiplication(X1,X3),X4))),inference(spm,[status(thm)],[29,23,theory(equality)])).
% cnf(141,plain,(addition(multiplication(X1,X2),X1)=multiplication(X1,addition(X2,one))),inference(spm,[status(thm)],[23,43,theory(equality)])).
% cnf(168,plain,(addition(multiplication(addition(X1,X3),X2),X4)=addition(multiplication(X1,X2),addition(multiplication(X3,X2),X4))),inference(spm,[status(thm)],[29,25,theory(equality)])).
% cnf(171,plain,(addition(multiplication(X1,X2),X2)=multiplication(addition(X1,one),X2)),inference(spm,[status(thm)],[25,45,theory(equality)])).
% cnf(173,plain,(addition(multiplication(X1,X2),multiplication(X3,multiplication(X4,X2)))=multiplication(addition(X1,multiplication(X3,X4)),X2)),inference(spm,[status(thm)],[25,21,theory(equality)])).
% cnf(178,plain,(addition(multiplication(X1,multiplication(X2,X3)),multiplication(X4,X3))=multiplication(addition(multiplication(X1,X2),X4),X3)),inference(spm,[status(thm)],[25,21,theory(equality)])).
% cnf(197,negated_conjecture,(multiplication(esk3_0,esk1_1(esk3_0))=zero),inference(spm,[status(thm)],[62,75,theory(equality)])).
% cnf(198,negated_conjecture,(addition(esk3_0,esk1_1(esk3_0))=one),inference(spm,[status(thm)],[60,75,theory(equality)])).
% cnf(200,negated_conjecture,(multiplication(esk1_1(esk3_0),esk3_0)=zero),inference(spm,[status(thm)],[61,75,theory(equality)])).
% cnf(203,negated_conjecture,(multiplication(esk2_0,esk1_1(esk2_0))=zero),inference(spm,[status(thm)],[62,76,theory(equality)])).
% cnf(204,negated_conjecture,(addition(esk2_0,esk1_1(esk2_0))=one),inference(spm,[status(thm)],[60,76,theory(equality)])).
% cnf(213,negated_conjecture,(addition(zero,multiplication(X1,esk1_1(esk3_0)))=multiplication(addition(esk3_0,X1),esk1_1(esk3_0))),inference(spm,[status(thm)],[25,197,theory(equality)])).
% cnf(214,negated_conjecture,(addition(multiplication(esk3_0,X1),zero)=multiplication(esk3_0,addition(X1,esk1_1(esk3_0)))),inference(spm,[status(thm)],[23,197,theory(equality)])).
% cnf(218,negated_conjecture,(multiplication(esk3_0,X1)=multiplication(esk3_0,addition(X1,esk1_1(esk3_0)))),inference(rw,[status(thm)],[214,55,theory(equality)])).
% cnf(222,negated_conjecture,(complement(esk3_0,esk1_1(esk3_0))|multiplication(esk3_0,esk1_1(esk3_0))!=zero|addition(esk1_1(esk3_0),esk3_0)!=one),inference(spm,[status(thm)],[59,200,theory(equality)])).
% cnf(228,negated_conjecture,(complement(esk3_0,esk1_1(esk3_0))|$false|addition(esk1_1(esk3_0),esk3_0)!=one),inference(rw,[status(thm)],[222,197,theory(equality)])).
% cnf(229,negated_conjecture,(complement(esk3_0,esk1_1(esk3_0))|addition(esk1_1(esk3_0),esk3_0)!=one),inference(cn,[status(thm)],[228,theory(equality)])).
% cnf(237,negated_conjecture,(addition(multiplication(esk2_0,X1),zero)=multiplication(esk2_0,addition(X1,esk1_1(esk2_0)))),inference(spm,[status(thm)],[23,203,theory(equality)])).
% cnf(241,negated_conjecture,(multiplication(esk2_0,X1)=multiplication(esk2_0,addition(X1,esk1_1(esk2_0)))),inference(rw,[status(thm)],[237,55,theory(equality)])).
% cnf(265,negated_conjecture,(complement(esk3_0,c(esk3_0))),inference(spm,[status(thm)],[77,72,theory(equality)])).
% cnf(266,negated_conjecture,(complement(esk2_0,c(esk2_0))),inference(spm,[status(thm)],[77,71,theory(equality)])).
% cnf(272,plain,(leq(multiplication(X1,X2),multiplication(X1,X3))|multiplication(X1,addition(X3,X2))!=multiplication(X1,X3)),inference(spm,[status(thm)],[122,23,theory(equality)])).
% cnf(273,plain,(leq(multiplication(X1,X2),multiplication(X3,X2))|multiplication(addition(X3,X1),X2)!=multiplication(X3,X2)),inference(spm,[status(thm)],[122,25,theory(equality)])).
% cnf(312,negated_conjecture,(multiplication(c(esk3_0),esk3_0)=zero),inference(spm,[status(thm)],[62,265,theory(equality)])).
% cnf(313,negated_conjecture,(addition(c(esk3_0),esk3_0)=one),inference(spm,[status(thm)],[60,265,theory(equality)])).
% cnf(314,negated_conjecture,(multiplication(esk3_0,c(esk3_0))=zero),inference(spm,[status(thm)],[61,265,theory(equality)])).
% cnf(324,negated_conjecture,(multiplication(c(esk2_0),esk2_0)=zero),inference(spm,[status(thm)],[62,266,theory(equality)])).
% cnf(325,negated_conjecture,(addition(c(esk2_0),esk2_0)=one),inference(spm,[status(thm)],[60,266,theory(equality)])).
% cnf(326,negated_conjecture,(multiplication(esk2_0,c(esk2_0))=zero),inference(spm,[status(thm)],[61,266,theory(equality)])).
% cnf(373,plain,(leq(X1,addition(X1,X2))),inference(spm,[status(thm)],[65,115,theory(equality)])).
% cnf(377,negated_conjecture,(addition(esk3_0,one)=one),inference(spm,[status(thm)],[115,198,theory(equality)])).
% cnf(378,negated_conjecture,(addition(esk2_0,one)=one),inference(spm,[status(thm)],[115,204,theory(equality)])).
% cnf(417,negated_conjecture,(addition(one,esk3_0)=one),inference(rw,[status(thm)],[377,27,theory(equality)])).
% cnf(419,negated_conjecture,(addition(one,X1)=addition(one,addition(esk3_0,X1))),inference(spm,[status(thm)],[29,417,theory(equality)])).
% cnf(426,negated_conjecture,(addition(one,esk2_0)=one),inference(rw,[status(thm)],[378,27,theory(equality)])).
% cnf(428,negated_conjecture,(addition(one,X1)=addition(one,addition(esk2_0,X1))),inference(spm,[status(thm)],[29,426,theory(equality)])).
% cnf(438,negated_conjecture,(addition(zero,multiplication(X1,esk3_0))=multiplication(addition(c(esk3_0),X1),esk3_0)),inference(spm,[status(thm)],[25,312,theory(equality)])).
% cnf(445,negated_conjecture,(multiplication(X1,esk3_0)=multiplication(addition(c(esk3_0),X1),esk3_0)),inference(rw,[status(thm)],[438,120,theory(equality)])).
% cnf(450,negated_conjecture,(addition(esk3_0,c(esk3_0))=one),inference(rw,[status(thm)],[313,27,theory(equality)])).
% cnf(461,negated_conjecture,(addition(zero,multiplication(esk3_0,X1))=multiplication(esk3_0,addition(c(esk3_0),X1))),inference(spm,[status(thm)],[23,314,theory(equality)])).
% cnf(463,negated_conjecture,(addition(multiplication(esk3_0,X1),zero)=multiplication(esk3_0,addition(X1,c(esk3_0)))),inference(spm,[status(thm)],[23,314,theory(equality)])).
% cnf(470,negated_conjecture,(multiplication(esk3_0,X1)=multiplication(esk3_0,addition(c(esk3_0),X1))),inference(rw,[status(thm)],[461,120,theory(equality)])).
% cnf(472,negated_conjecture,(multiplication(esk3_0,X1)=multiplication(esk3_0,addition(X1,c(esk3_0)))),inference(rw,[status(thm)],[463,55,theory(equality)])).
% cnf(499,negated_conjecture,(addition(zero,multiplication(c(esk2_0),X1))=multiplication(c(esk2_0),addition(esk2_0,X1))),inference(spm,[status(thm)],[23,324,theory(equality)])).
% cnf(506,negated_conjecture,(multiplication(c(esk2_0),X1)=multiplication(c(esk2_0),addition(esk2_0,X1))),inference(rw,[status(thm)],[499,120,theory(equality)])).
% cnf(532,negated_conjecture,(addition(esk2_0,c(esk2_0))=one),inference(rw,[status(thm)],[325,27,theory(equality)])).
% cnf(545,negated_conjecture,(addition(zero,multiplication(X1,c(esk2_0)))=multiplication(addition(esk2_0,X1),c(esk2_0))),inference(spm,[status(thm)],[25,326,theory(equality)])).
% cnf(546,negated_conjecture,(addition(multiplication(esk2_0,X1),zero)=multiplication(esk2_0,addition(X1,c(esk2_0)))),inference(spm,[status(thm)],[23,326,theory(equality)])).
% cnf(554,negated_conjecture,(multiplication(X1,c(esk2_0))=multiplication(addition(esk2_0,X1),c(esk2_0))),inference(rw,[status(thm)],[545,120,theory(equality)])).
% cnf(555,negated_conjecture,(multiplication(esk2_0,X1)=multiplication(esk2_0,addition(X1,c(esk2_0)))),inference(rw,[status(thm)],[546,55,theory(equality)])).
% cnf(975,plain,(leq(multiplication(X1,X2),multiplication(X1,addition(X2,X3)))),inference(spm,[status(thm)],[373,23,theory(equality)])).
% cnf(976,plain,(leq(multiplication(X1,X2),multiplication(addition(X1,X3),X2))),inference(spm,[status(thm)],[373,25,theory(equality)])).
% cnf(1659,plain,(addition(X1,multiplication(X1,X2))=multiplication(X1,addition(X2,one))),inference(rw,[status(thm)],[141,27,theory(equality)])).
% cnf(1660,negated_conjecture,(addition(one,multiplication(esk3_0,addition(X1,one)))=addition(one,multiplication(esk3_0,X1))),inference(spm,[status(thm)],[419,1659,theory(equality)])).
% cnf(2110,plain,(addition(X2,multiplication(X1,X2))=multiplication(addition(X1,one),X2)),inference(rw,[status(thm)],[171,27,theory(equality)])).
% cnf(2324,negated_conjecture,(multiplication(X1,esk1_1(esk3_0))=multiplication(addition(esk3_0,X1),esk1_1(esk3_0))),inference(rw,[status(thm)],[213,120,theory(equality)])).
% cnf(2344,negated_conjecture,(multiplication(one,esk1_1(esk3_0))=multiplication(c(esk3_0),esk1_1(esk3_0))),inference(spm,[status(thm)],[2324,450,theory(equality)])).
% cnf(2362,negated_conjecture,(esk1_1(esk3_0)=multiplication(c(esk3_0),esk1_1(esk3_0))),inference(rw,[status(thm)],[2344,45,theory(equality)])).
% cnf(2373,negated_conjecture,(multiplication(esk3_0,one)=multiplication(esk3_0,esk3_0)),inference(spm,[status(thm)],[218,198,theory(equality)])).
% cnf(2388,negated_conjecture,(esk3_0=multiplication(esk3_0,esk3_0)),inference(rw,[status(thm)],[2373,43,theory(equality)])).
% cnf(2458,negated_conjecture,(multiplication(esk3_0,X1)=multiplication(esk3_0,multiplication(esk3_0,X1))),inference(spm,[status(thm)],[21,2388,theory(equality)])).
% cnf(2462,negated_conjecture,(addition(multiplication(esk3_0,X1),esk3_0)=multiplication(esk3_0,addition(X1,esk3_0))),inference(spm,[status(thm)],[23,2388,theory(equality)])).
% cnf(2602,negated_conjecture,(complement(esk3_0,esk1_1(esk3_0))|$false),inference(rw,[status(thm)],[inference(rw,[status(thm)],[229,27,theory(equality)]),198,theory(equality)])).
% cnf(2603,negated_conjecture,(complement(esk3_0,esk1_1(esk3_0))),inference(cn,[status(thm)],[2602,theory(equality)])).
% cnf(2607,negated_conjecture,(c(esk3_0)=esk1_1(esk3_0)|~test(esk3_0)),inference(spm,[status(thm)],[52,2603,theory(equality)])).
% cnf(2611,negated_conjecture,(c(esk3_0)=esk1_1(esk3_0)|$false),inference(rw,[status(thm)],[2607,72,theory(equality)])).
% cnf(2612,negated_conjecture,(c(esk3_0)=esk1_1(esk3_0)),inference(cn,[status(thm)],[2611,theory(equality)])).
% cnf(2648,negated_conjecture,(multiplication(c(esk3_0),c(esk3_0))=esk1_1(esk3_0)),inference(rw,[status(thm)],[2362,2612,theory(equality)])).
% cnf(2649,negated_conjecture,(multiplication(c(esk3_0),c(esk3_0))=c(esk3_0)),inference(rw,[status(thm)],[2648,2612,theory(equality)])).
% cnf(2704,negated_conjecture,(addition(multiplication(esk3_0,X1),multiplication(esk3_0,X2))=multiplication(esk3_0,addition(multiplication(esk3_0,X1),X2))),inference(spm,[status(thm)],[23,2458,theory(equality)])).
% cnf(2722,negated_conjecture,(multiplication(esk3_0,addition(X1,X2))=multiplication(esk3_0,addition(multiplication(esk3_0,X1),X2))),inference(rw,[status(thm)],[2704,23,theory(equality)])).
% cnf(2794,negated_conjecture,(multiplication(esk3_0,addition(X1,one))=multiplication(esk3_0,addition(X1,esk3_0))),inference(rw,[status(thm)],[inference(rw,[status(thm)],[2462,27,theory(equality)]),1659,theory(equality)])).
% cnf(2796,negated_conjecture,(addition(addition(X1,esk3_0),multiplication(esk3_0,addition(X1,one)))=multiplication(addition(esk3_0,one),addition(X1,esk3_0))),inference(spm,[status(thm)],[2110,2794,theory(equality)])).
% cnf(2811,negated_conjecture,(addition(X1,multiplication(esk3_0,addition(X1,one)))=multiplication(addition(esk3_0,one),addition(X1,esk3_0))),inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[2796,29,theory(equality)]),1659,theory(equality)]),29,theory(equality)]),31,theory(equality)])).
% cnf(2812,negated_conjecture,(addition(X1,multiplication(esk3_0,addition(X1,one)))=addition(X1,esk3_0)),inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[2811,27,theory(equality)]),417,theory(equality)]),45,theory(equality)])).
% cnf(2871,negated_conjecture,(multiplication(esk2_0,one)=multiplication(esk2_0,esk2_0)),inference(spm,[status(thm)],[241,204,theory(equality)])).
% cnf(2886,negated_conjecture,(esk2_0=multiplication(esk2_0,esk2_0)),inference(rw,[status(thm)],[2871,43,theory(equality)])).
% cnf(2959,negated_conjecture,(addition(multiplication(esk2_0,X1),esk2_0)=multiplication(esk2_0,addition(X1,esk2_0))),inference(spm,[status(thm)],[23,2886,theory(equality)])).
% cnf(3129,negated_conjecture,(multiplication(esk2_0,addition(X1,one))=multiplication(esk2_0,addition(X1,esk2_0))),inference(rw,[status(thm)],[inference(rw,[status(thm)],[2959,27,theory(equality)]),1659,theory(equality)])).
% cnf(3131,negated_conjecture,(addition(addition(X1,esk2_0),multiplication(esk2_0,addition(X1,one)))=multiplication(addition(esk2_0,one),addition(X1,esk2_0))),inference(spm,[status(thm)],[2110,3129,theory(equality)])).
% cnf(3147,negated_conjecture,(addition(X1,multiplication(esk2_0,addition(X1,one)))=multiplication(addition(esk2_0,one),addition(X1,esk2_0))),inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[3131,29,theory(equality)]),1659,theory(equality)]),29,theory(equality)]),31,theory(equality)])).
% cnf(3148,negated_conjecture,(addition(X1,multiplication(esk2_0,addition(X1,one)))=addition(X1,esk2_0)),inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[3147,27,theory(equality)]),426,theory(equality)]),45,theory(equality)])).
% cnf(3665,negated_conjecture,(addition(multiplication(X1,esk3_0),multiplication(addition(c(esk3_0),X1),X2))=multiplication(addition(c(esk3_0),X1),addition(esk3_0,X2))),inference(spm,[status(thm)],[23,445,theory(equality)])).
% cnf(3847,negated_conjecture,(addition(esk3_0,addition(multiplication(esk3_0,X1),X2))=addition(multiplication(esk3_0,addition(esk3_0,X1)),X2)),inference(spm,[status(thm)],[136,2388,theory(equality)])).
% cnf(3852,negated_conjecture,(addition(esk2_0,addition(multiplication(esk2_0,X1),X2))=addition(multiplication(esk2_0,addition(esk2_0,X1)),X2)),inference(spm,[status(thm)],[136,2886,theory(equality)])).
% cnf(4059,negated_conjecture,(addition(esk2_0,addition(multiplication(X1,esk2_0),X2))=addition(multiplication(addition(esk2_0,X1),esk2_0),X2)),inference(spm,[status(thm)],[168,2886,theory(equality)])).
% cnf(4554,negated_conjecture,(addition(multiplication(X1,esk2_0),multiplication(X2,esk2_0))=multiplication(addition(X1,multiplication(X2,esk2_0)),esk2_0)),inference(spm,[status(thm)],[173,2886,theory(equality)])).
% cnf(4635,negated_conjecture,(multiplication(addition(X1,X2),esk2_0)=multiplication(addition(X1,multiplication(X2,esk2_0)),esk2_0)),inference(rw,[status(thm)],[4554,25,theory(equality)])).
% cnf(5371,negated_conjecture,(leq(multiplication(X1,esk3_0),multiplication(X1,one))),inference(spm,[status(thm)],[272,417,theory(equality)])).
% cnf(5413,negated_conjecture,(leq(multiplication(X1,esk3_0),X1)),inference(rw,[status(thm)],[5371,43,theory(equality)])).
% cnf(10221,negated_conjecture,(leq(esk3_0,multiplication(esk3_0,addition(esk3_0,X1)))),inference(spm,[status(thm)],[975,2388,theory(equality)])).
% cnf(10229,negated_conjecture,(leq(esk2_0,multiplication(esk2_0,addition(esk2_0,X1)))),inference(spm,[status(thm)],[975,2886,theory(equality)])).
% cnf(10340,negated_conjecture,(addition(esk3_0,multiplication(esk3_0,addition(esk3_0,X1)))=multiplication(esk3_0,addition(esk3_0,X1))),inference(spm,[status(thm)],[66,10221,theory(equality)])).
% cnf(10362,negated_conjecture,(multiplication(esk3_0,addition(one,X1))=multiplication(esk3_0,addition(esk3_0,X1))),inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[10340,1659,theory(equality)]),29,theory(equality)]),119,theory(equality)]),419,theory(equality)])).
% cnf(10375,negated_conjecture,(addition(esk2_0,multiplication(esk2_0,addition(esk2_0,X1)))=multiplication(esk2_0,addition(esk2_0,X1))),inference(spm,[status(thm)],[66,10229,theory(equality)])).
% cnf(10397,negated_conjecture,(multiplication(esk2_0,addition(one,X1))=multiplication(esk2_0,addition(esk2_0,X1))),inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[10375,1659,theory(equality)]),29,theory(equality)]),119,theory(equality)]),428,theory(equality)])).
% cnf(10747,negated_conjecture,(leq(esk2_0,multiplication(addition(esk2_0,X1),esk2_0))),inference(spm,[status(thm)],[976,2886,theory(equality)])).
% cnf(11088,negated_conjecture,(addition(esk2_0,multiplication(addition(esk2_0,X1),esk2_0))=multiplication(addition(esk2_0,X1),esk2_0)),inference(spm,[status(thm)],[66,10747,theory(equality)])).
% cnf(11111,negated_conjecture,(multiplication(addition(one,X1),esk2_0)=multiplication(addition(esk2_0,X1),esk2_0)),inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[11088,2110,theory(equality)]),29,theory(equality)]),119,theory(equality)]),428,theory(equality)])).
% cnf(14318,negated_conjecture,(addition(one,multiplication(esk3_0,addition(one,X1)))=addition(one,multiplication(esk3_0,X1))),inference(spm,[status(thm)],[1660,27,theory(equality)])).
% cnf(21066,negated_conjecture,(addition(one,multiplication(esk3_0,one))=addition(one,multiplication(esk3_0,esk2_0))),inference(spm,[status(thm)],[14318,426,theory(equality)])).
% cnf(21143,negated_conjecture,(one=addition(one,multiplication(esk3_0,esk2_0))),inference(rw,[status(thm)],[inference(rw,[status(thm)],[21066,43,theory(equality)]),417,theory(equality)])).
% cnf(21247,negated_conjecture,(leq(multiplication(multiplication(esk3_0,esk2_0),X1),multiplication(one,X1))),inference(spm,[status(thm)],[273,21143,theory(equality)])).
% cnf(21313,negated_conjecture,(leq(multiplication(esk3_0,multiplication(esk2_0,X1)),X1)),inference(rw,[status(thm)],[inference(rw,[status(thm)],[21247,21,theory(equality)]),45,theory(equality)])).
% cnf(25429,negated_conjecture,(addition(multiplication(esk3_0,multiplication(esk2_0,X1)),X1)=X1),inference(spm,[status(thm)],[66,21313,theory(equality)])).
% cnf(48633,negated_conjecture,(addition(X1,multiplication(esk3_0,multiplication(esk2_0,X1)))=X1),inference(rw,[status(thm)],[25429,27,theory(equality)])).
% cnf(48671,negated_conjecture,(multiplication(esk3_0,c(esk3_0))=multiplication(esk3_0,multiplication(esk3_0,multiplication(esk2_0,c(esk3_0))))),inference(spm,[status(thm)],[470,48633,theory(equality)])).
% cnf(48931,negated_conjecture,(zero=multiplication(esk3_0,multiplication(esk3_0,multiplication(esk2_0,c(esk3_0))))),inference(rw,[status(thm)],[48671,314,theory(equality)])).
% cnf(48932,negated_conjecture,(zero=multiplication(esk3_0,multiplication(esk2_0,c(esk3_0)))),inference(rw,[status(thm)],[48931,2458,theory(equality)])).
% cnf(49258,negated_conjecture,(addition(multiplication(X1,c(esk3_0)),zero)=multiplication(addition(X1,multiplication(esk3_0,esk2_0)),c(esk3_0))),inference(spm,[status(thm)],[173,48932,theory(equality)])).
% cnf(49321,negated_conjecture,(multiplication(X1,c(esk3_0))=multiplication(addition(X1,multiplication(esk3_0,esk2_0)),c(esk3_0))),inference(rw,[status(thm)],[49258,55,theory(equality)])).
% cnf(61245,negated_conjecture,(addition(multiplication(esk3_0,addition(one,X1)),X2)=addition(esk3_0,addition(multiplication(esk3_0,X1),X2))),inference(rw,[status(thm)],[3847,10362,theory(equality)])).
% cnf(61630,negated_conjecture,(addition(multiplication(esk3_0,addition(one,esk2_0)),X1)=addition(esk3_0,addition(multiplication(esk3_0,multiplication(esk2_0,addition(one,one))),X1))),inference(spm,[status(thm)],[61245,3148,theory(equality)])).
% cnf(62064,negated_conjecture,(addition(esk3_0,X1)=addition(esk3_0,addition(multiplication(esk3_0,multiplication(esk2_0,addition(one,one))),X1))),inference(rw,[status(thm)],[inference(rw,[status(thm)],[61630,426,theory(equality)]),43,theory(equality)])).
% cnf(62065,negated_conjecture,(addition(esk3_0,X1)=addition(esk3_0,addition(multiplication(esk3_0,esk2_0),X1))),inference(rw,[status(thm)],[inference(rw,[status(thm)],[62064,31,theory(equality)]),43,theory(equality)])).
% cnf(66705,negated_conjecture,(addition(multiplication(esk2_0,addition(one,X1)),X2)=addition(esk2_0,addition(multiplication(esk2_0,X1),X2))),inference(rw,[status(thm)],[3852,10397,theory(equality)])).
% cnf(67111,negated_conjecture,(addition(multiplication(esk2_0,addition(one,esk3_0)),X1)=addition(esk2_0,addition(multiplication(esk2_0,multiplication(esk3_0,addition(one,one))),X1))),inference(spm,[status(thm)],[66705,2812,theory(equality)])).
% cnf(67559,negated_conjecture,(addition(esk2_0,X1)=addition(esk2_0,addition(multiplication(esk2_0,multiplication(esk3_0,addition(one,one))),X1))),inference(rw,[status(thm)],[inference(rw,[status(thm)],[67111,417,theory(equality)]),43,theory(equality)])).
% cnf(67560,negated_conjecture,(addition(esk2_0,X1)=addition(esk2_0,addition(multiplication(esk2_0,esk3_0),X1))),inference(rw,[status(thm)],[inference(rw,[status(thm)],[67559,31,theory(equality)]),43,theory(equality)])).
% cnf(67871,negated_conjecture,(addition(esk2_0,multiplication(addition(esk2_0,X1),esk3_0))=addition(esk2_0,multiplication(X1,esk3_0))),inference(spm,[status(thm)],[67560,25,theory(equality)])).
% cnf(70825,negated_conjecture,(addition(esk2_0,multiplication(one,esk3_0))=addition(esk2_0,multiplication(c(esk2_0),esk3_0))),inference(spm,[status(thm)],[67871,532,theory(equality)])).
% cnf(70916,negated_conjecture,(addition(esk2_0,esk3_0)=addition(esk2_0,multiplication(c(esk2_0),esk3_0))),inference(rw,[status(thm)],[70825,45,theory(equality)])).
% cnf(71465,negated_conjecture,(multiplication(addition(esk2_0,esk3_0),c(esk2_0))=multiplication(multiplication(c(esk2_0),esk3_0),c(esk2_0))),inference(spm,[status(thm)],[554,70916,theory(equality)])).
% cnf(71530,negated_conjecture,(multiplication(esk3_0,c(esk2_0))=multiplication(multiplication(c(esk2_0),esk3_0),c(esk2_0))),inference(rw,[status(thm)],[71465,554,theory(equality)])).
% cnf(71531,negated_conjecture,(multiplication(esk3_0,c(esk2_0))=multiplication(c(esk2_0),multiplication(esk3_0,c(esk2_0)))),inference(rw,[status(thm)],[71530,21,theory(equality)])).
% cnf(79236,negated_conjecture,(addition(multiplication(addition(one,X1),esk2_0),X2)=addition(esk2_0,addition(multiplication(X1,esk2_0),X2))),inference(rw,[status(thm)],[4059,11111,theory(equality)])).
% cnf(79686,negated_conjecture,(addition(multiplication(addition(one,esk3_0),esk2_0),X1)=addition(esk2_0,addition(multiplication(multiplication(esk3_0,addition(one,one)),esk2_0),X1))),inference(spm,[status(thm)],[79236,2812,theory(equality)])).
% cnf(80178,negated_conjecture,(addition(esk2_0,X1)=addition(esk2_0,addition(multiplication(multiplication(esk3_0,addition(one,one)),esk2_0),X1))),inference(rw,[status(thm)],[inference(rw,[status(thm)],[79686,417,theory(equality)]),45,theory(equality)])).
% cnf(80179,negated_conjecture,(addition(esk2_0,X1)=addition(esk2_0,addition(multiplication(esk3_0,esk2_0),X1))),inference(rw,[status(thm)],[inference(rw,[status(thm)],[80178,31,theory(equality)]),43,theory(equality)])).
% cnf(80521,negated_conjecture,(addition(esk2_0,multiplication(esk3_0,addition(esk2_0,X1)))=addition(esk2_0,multiplication(esk3_0,X1))),inference(spm,[status(thm)],[80179,23,theory(equality)])).
% cnf(82277,negated_conjecture,(addition(esk2_0,multiplication(esk3_0,one))=addition(esk2_0,multiplication(esk3_0,c(esk2_0)))),inference(spm,[status(thm)],[80521,532,theory(equality)])).
% cnf(82379,negated_conjecture,(addition(esk2_0,esk3_0)=addition(esk2_0,multiplication(esk3_0,c(esk2_0)))),inference(rw,[status(thm)],[82277,43,theory(equality)])).
% cnf(82930,negated_conjecture,(multiplication(c(esk2_0),addition(esk2_0,esk3_0))=multiplication(c(esk2_0),multiplication(esk3_0,c(esk2_0)))),inference(spm,[status(thm)],[506,82379,theory(equality)])).
% cnf(83004,negated_conjecture,(multiplication(c(esk2_0),esk3_0)=multiplication(c(esk2_0),multiplication(esk3_0,c(esk2_0)))),inference(rw,[status(thm)],[82930,506,theory(equality)])).
% cnf(83005,negated_conjecture,(multiplication(c(esk2_0),esk3_0)=multiplication(esk3_0,c(esk2_0))),inference(rw,[status(thm)],[83004,71531,theory(equality)])).
% cnf(182014,negated_conjecture,(addition(multiplication(multiplication(esk3_0,esk2_0),esk3_0),multiplication(c(esk3_0),c(esk3_0)))=multiplication(addition(c(esk3_0),multiplication(esk3_0,esk2_0)),addition(esk3_0,c(esk3_0)))),inference(spm,[status(thm)],[3665,49321,theory(equality)])).
% cnf(182301,negated_conjecture,(addition(multiplication(esk3_0,multiplication(esk2_0,esk3_0)),c(esk3_0))=multiplication(addition(c(esk3_0),multiplication(esk3_0,esk2_0)),addition(esk3_0,c(esk3_0)))),inference(rw,[status(thm)],[inference(rw,[status(thm)],[182014,21,theory(equality)]),2649,theory(equality)])).
% cnf(182302,negated_conjecture,(addition(multiplication(esk3_0,multiplication(esk2_0,esk3_0)),c(esk3_0))=addition(multiplication(esk3_0,esk2_0),c(esk3_0))),inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[182301,27,theory(equality)]),450,theory(equality)]),43,theory(equality)])).
% cnf(182512,negated_conjecture,(multiplication(esk3_0,addition(multiplication(esk3_0,esk2_0),c(esk3_0)))=multiplication(esk3_0,multiplication(esk3_0,multiplication(esk2_0,esk3_0)))),inference(spm,[status(thm)],[472,182302,theory(equality)])).
% cnf(182620,negated_conjecture,(multiplication(esk3_0,esk2_0)=multiplication(esk3_0,multiplication(esk3_0,multiplication(esk2_0,esk3_0)))),inference(rw,[status(thm)],[inference(rw,[status(thm)],[182512,2722,theory(equality)]),472,theory(equality)])).
% cnf(182621,negated_conjecture,(multiplication(esk3_0,esk2_0)=multiplication(esk3_0,multiplication(esk2_0,esk3_0))),inference(rw,[status(thm)],[182620,2458,theory(equality)])).
% cnf(182651,negated_conjecture,(addition(multiplication(esk2_0,esk3_0),multiplication(esk3_0,esk2_0))=multiplication(addition(esk3_0,one),multiplication(esk2_0,esk3_0))),inference(spm,[status(thm)],[2110,182621,theory(equality)])).
% cnf(182694,negated_conjecture,(addition(multiplication(esk3_0,esk2_0),multiplication(X1,esk3_0))=multiplication(addition(multiplication(esk3_0,esk2_0),X1),esk3_0)),inference(spm,[status(thm)],[178,182621,theory(equality)])).
% cnf(182746,negated_conjecture,(addition(multiplication(esk2_0,esk3_0),multiplication(esk3_0,esk2_0))=multiplication(esk2_0,esk3_0)),inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[182651,27,theory(equality)]),417,theory(equality)]),45,theory(equality)])).
% cnf(183352,negated_conjecture,(multiplication(multiplication(esk2_0,esk3_0),esk2_0)=multiplication(addition(multiplication(esk2_0,esk3_0),esk3_0),esk2_0)),inference(spm,[status(thm)],[4635,182746,theory(equality)])).
% cnf(183489,negated_conjecture,(multiplication(esk2_0,multiplication(esk3_0,esk2_0))=multiplication(addition(multiplication(esk2_0,esk3_0),esk3_0),esk2_0)),inference(rw,[status(thm)],[183352,21,theory(equality)])).
% cnf(183490,negated_conjecture,(multiplication(esk2_0,multiplication(esk3_0,esk2_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)],[183489,27,theory(equality)]),2110,theory(equality)]),27,theory(equality)]),426,theory(equality)]),45,theory(equality)])).
% cnf(185426,negated_conjecture,(addition(multiplication(esk3_0,esk2_0),multiplication(esk3_0,c(esk2_0)))=multiplication(addition(multiplication(esk3_0,esk2_0),c(esk2_0)),esk3_0)),inference(spm,[status(thm)],[182694,83005,theory(equality)])).
% cnf(185599,negated_conjecture,(esk3_0=multiplication(addition(multiplication(esk3_0,esk2_0),c(esk2_0)),esk3_0)),inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[185426,23,theory(equality)]),532,theory(equality)]),43,theory(equality)])).
% cnf(186103,negated_conjecture,(leq(esk3_0,addition(multiplication(esk3_0,esk2_0),c(esk2_0)))),inference(spm,[status(thm)],[5413,185599,theory(equality)])).
% cnf(186233,negated_conjecture,(addition(esk3_0,addition(multiplication(esk3_0,esk2_0),c(esk2_0)))=addition(multiplication(esk3_0,esk2_0),c(esk2_0))),inference(spm,[status(thm)],[66,186103,theory(equality)])).
% cnf(186235,negated_conjecture,(addition(esk3_0,c(esk2_0))=addition(multiplication(esk3_0,esk2_0),c(esk2_0))),inference(rw,[status(thm)],[186233,62065,theory(equality)])).
% cnf(186387,negated_conjecture,(multiplication(esk2_0,addition(esk3_0,c(esk2_0)))=multiplication(esk2_0,multiplication(esk3_0,esk2_0))),inference(spm,[status(thm)],[555,186235,theory(equality)])).
% cnf(186506,negated_conjecture,(multiplication(esk2_0,esk3_0)=multiplication(esk2_0,multiplication(esk3_0,esk2_0))),inference(rw,[status(thm)],[186387,555,theory(equality)])).
% cnf(186507,negated_conjecture,(multiplication(esk2_0,esk3_0)=multiplication(esk3_0,esk2_0)),inference(rw,[status(thm)],[186506,183490,theory(equality)])).
% cnf(186508,negated_conjecture,($false),inference(sr,[status(thm)],[186507,70,theory(equality)])).
% cnf(186509,negated_conjecture,($false),186508,['proof']).
% # SZS output end CNFRefutation
% # Processed clauses                  : 7331
% # ...of these trivial                : 1560
% # ...subsumed                        : 4543
% # ...remaining for further processing: 1228
% # Other redundant clauses eliminated : 0
% # Clauses deleted for lack of memory : 0
% # Backward-subsumed                  : 2
% # Backward-rewritten                 : 290
% # Generated clauses                  : 99920
% # ...of the previous two non-trivial : 70322
% # Contextual simplify-reflections    : 1
% # Paramodulations                    : 99913
% # Factorizations                     : 0
% # Equation resolutions               : 7
% # Current number of processed clauses: 936
% #    Positive orientable unit clauses: 627
% #    Positive unorientable unit clauses: 14
% #    Negative unit clauses           : 1
% #    Non-unit-clauses                : 294
% # Current number of unprocessed clauses: 55394
% # ...number of literals in the above : 83974
% # Clause-clause subsumption calls (NU) : 23075
% # Rec. Clause-clause subsumption calls : 23063
% # Unit Clause-clause subsumption calls : 675
% # Rewrite failures with RHS unbound  : 0
% # Indexed BW rewrite attempts        : 1823
% # Indexed BW rewrite successes       : 246
% # Backwards rewriting index:   739 leaves,   1.70+/-1.629 terms/leaf
% # Paramod-from index:          391 leaves,   1.66+/-1.306 terms/leaf
% # Paramod-into index:          564 leaves,   1.76+/-1.713 terms/leaf
% # -------------------------------------------------
% # User time              : 2.712 s
% # System time            : 0.108 s
% # Total time             : 2.820 s
% # Maximum resident set size: 0 pages
% PrfWatch: 5.14 CPU 6.00 WC
% FINAL PrfWatch: 5.14 CPU 6.00 WC
% SZS output end Solution for /tmp/SystemOnTPTP19807/KLE012+1.tptp
% 
%------------------------------------------------------------------------------