TSTP Solution File: KLE014+2 by SRASS---0.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SRASS---0.1
% Problem  : KLE014+2 : TPTP v5.0.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp
% Command  : SRASS -q2 -a 0 10 10 10 -i3 -n60 %s

% Computer : 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 07:32:34 EST 2010

% Result   : Theorem 7.10s
% Output   : Solution 7.10s
% 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/SystemOnTPTP7415/KLE014+2.tptp
% Adding relevance values
% Extracting the conjecture
% Sorting axioms by relevance
% Looking for THM       ... 
% found
% SZS status THM for /tmp/SystemOnTPTP7415/KLE014+2.tptp
% SZS output start Solution for /tmp/SystemOnTPTP7415/KLE014+2.tptp
% TreeLimitedRun: ----------------------------------------------------------
% TreeLimitedRun: /home/graph/tptp/Systems/EP---1.2/eproof --print-statistics -xAuto -tAuto --cpu-limit=60 --proof-time-unlimited --memory-limit=Auto --tstp-in --tstp-out /tmp/SRASS.s.p 
% TreeLimitedRun: CPU time limit is 60s
% TreeLimitedRun: WC  time limit is 120s
% TreeLimitedRun: PID is 7511
% TreeLimitedRun: ----------------------------------------------------------
% PrfWatch: 0.00 CPU 0.00 WC
% PrfWatch: 1.92 CPU 2.01 WC
% # Preprocessing time     : 0.012 s
% # Problem is unsatisfiable (or provable), constructing proof object
% # SZS status Theorem
% PrfWatch: 3.91 CPU 4.01 WC
% PrfWatch: 5.91 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]:![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]:((test(X5)&test(X4))=>c(addition(X4,X5))=multiplication(c(X4),c(X5))),file('/tmp/SRASS.s.p', goals)).
% fof(18, negated_conjecture,~(![X4]:![X5]:((test(X5)&test(X4))=>c(addition(X4,X5))=multiplication(c(X4),c(X5)))),inference(assume_negation,[status(cth)],[17])).
% fof(20, plain,![X3]:![X4]:addition(X3,X4)=addition(X4,X3),inference(variable_rename,[status(thm)],[1])).
% cnf(21,plain,(addition(X1,X2)=addition(X2,X1)),inference(split_conjunct,[status(thm)],[20])).
% fof(22, plain,![X4]:![X5]:![X6]:addition(X6,addition(X5,X4))=addition(addition(X6,X5),X4),inference(variable_rename,[status(thm)],[2])).
% cnf(23,plain,(addition(X1,addition(X2,X3))=addition(addition(X1,X2),X3)),inference(split_conjunct,[status(thm)],[22])).
% fof(24, plain,![X2]:addition(X2,X2)=X2,inference(variable_rename,[status(thm)],[3])).
% cnf(25,plain,(addition(X1,X1)=X1),inference(split_conjunct,[status(thm)],[24])).
% fof(26, plain,![X4]:![X5]:![X6]:multiplication(X4,multiplication(X5,X6))=multiplication(multiplication(X4,X5),X6),inference(variable_rename,[status(thm)],[4])).
% cnf(27,plain,(multiplication(X1,multiplication(X2,X3))=multiplication(multiplication(X1,X2),X3)),inference(split_conjunct,[status(thm)],[26])).
% fof(28, plain,![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])).
% cnf(45,plain,(test(X1)|~complement(X2,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]:((test(X5)&test(X4))&~(c(addition(X4,X5))=multiplication(c(X4),c(X5)))),inference(fof_nnf,[status(thm)],[18])).
% fof(68, negated_conjecture,?[X6]:?[X7]:((test(X7)&test(X6))&~(c(addition(X6,X7))=multiplication(c(X6),c(X7)))),inference(variable_rename,[status(thm)],[67])).
% fof(69, negated_conjecture,((test(esk3_0)&test(esk2_0))&~(c(addition(esk2_0,esk3_0))=multiplication(c(esk2_0),c(esk3_0)))),inference(skolemize,[status(esa)],[68])).
% cnf(70,negated_conjecture,(c(addition(esk2_0,esk3_0))!=multiplication(c(esk2_0),c(esk3_0))),inference(split_conjunct,[status(thm)],[69])).
% cnf(71,negated_conjecture,(test(esk2_0)),inference(split_conjunct,[status(thm)],[69])).
% cnf(72,negated_conjecture,(test(esk3_0)),inference(split_conjunct,[status(thm)],[69])).
% cnf(81,negated_conjecture,(complement(esk1_1(esk3_0),esk3_0)),inference(spm,[status(thm)],[44,72,theory(equality)])).
% cnf(82,negated_conjecture,(complement(esk1_1(esk2_0),esk2_0)),inference(spm,[status(thm)],[44,71,theory(equality)])).
% cnf(83,plain,(complement(X1,c(X1))|~test(X1)),inference(er,[status(thm)],[39,theory(equality)])).
% cnf(94,plain,(complement(X1,addition(X2,X3))|addition(X2,addition(X3,X1))!=one|multiplication(addition(X2,X3),X1)!=zero|multiplication(X1,addition(X2,X3))!=zero),inference(spm,[status(thm)],[63,23,theory(equality)])).
% cnf(96,plain,(addition(X1,X2)=addition(X1,addition(X1,X2))),inference(spm,[status(thm)],[23,25,theory(equality)])).
% cnf(117,plain,(addition(X3,addition(X1,X2))=addition(X1,addition(X2,X3))),inference(spm,[status(thm)],[23,21,theory(equality)])).
% cnf(118,plain,(addition(zero,X1)=X1),inference(spm,[status(thm)],[47,21,theory(equality)])).
% cnf(120,plain,(leq(X1,X2)|addition(X2,X1)!=X2),inference(spm,[status(thm)],[58,21,theory(equality)])).
% cnf(121,plain,(addition(addition(X2,X1),X3)=addition(X1,addition(X2,X3))),inference(spm,[status(thm)],[23,21,theory(equality)])).
% cnf(130,plain,(addition(X2,addition(X1,X3))=addition(X1,addition(X2,X3))),inference(rw,[status(thm)],[121,23,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)],[23,29,theory(equality)])).
% cnf(142,plain,(addition(multiplication(X1,X2),X1)=multiplication(X1,addition(X2,one))),inference(spm,[status(thm)],[29,53,theory(equality)])).
% cnf(171,plain,(addition(multiplication(addition(X1,X3),X2),X4)=addition(multiplication(X1,X2),addition(multiplication(X3,X2),X4))),inference(spm,[status(thm)],[23,31,theory(equality)])).
% cnf(175,plain,(addition(multiplication(X1,X2),X2)=multiplication(addition(X1,one),X2)),inference(spm,[status(thm)],[31,55,theory(equality)])).
% cnf(203,negated_conjecture,(addition(esk3_0,esk1_1(esk3_0))=one),inference(spm,[status(thm)],[64,81,theory(equality)])).
% cnf(204,negated_conjecture,(multiplication(esk3_0,esk1_1(esk3_0))=zero),inference(spm,[status(thm)],[66,81,theory(equality)])).
% cnf(209,negated_conjecture,(addition(esk2_0,esk1_1(esk2_0))=one),inference(spm,[status(thm)],[64,82,theory(equality)])).
% cnf(210,negated_conjecture,(multiplication(esk2_0,esk1_1(esk2_0))=zero),inference(spm,[status(thm)],[66,82,theory(equality)])).
% cnf(223,negated_conjecture,(addition(multiplication(esk3_0,X1),zero)=multiplication(esk3_0,addition(X1,esk1_1(esk3_0)))),inference(spm,[status(thm)],[29,204,theory(equality)])).
% cnf(226,negated_conjecture,(multiplication(esk3_0,X1)=multiplication(esk3_0,addition(X1,esk1_1(esk3_0)))),inference(rw,[status(thm)],[223,47,theory(equality)])).
% cnf(243,negated_conjecture,(addition(multiplication(esk2_0,X1),zero)=multiplication(esk2_0,addition(X1,esk1_1(esk2_0)))),inference(spm,[status(thm)],[29,210,theory(equality)])).
% cnf(246,negated_conjecture,(multiplication(esk2_0,X1)=multiplication(esk2_0,addition(X1,esk1_1(esk2_0)))),inference(rw,[status(thm)],[243,47,theory(equality)])).
% cnf(269,negated_conjecture,(complement(esk3_0,c(esk3_0))),inference(spm,[status(thm)],[83,72,theory(equality)])).
% cnf(270,negated_conjecture,(complement(esk2_0,c(esk2_0))),inference(spm,[status(thm)],[83,71,theory(equality)])).
% cnf(277,plain,(leq(multiplication(X1,X2),multiplication(X3,X2))|multiplication(addition(X3,X1),X2)!=multiplication(X3,X2)),inference(spm,[status(thm)],[120,31,theory(equality)])).
% cnf(314,negated_conjecture,(addition(c(esk3_0),esk3_0)=one),inference(spm,[status(thm)],[64,269,theory(equality)])).
% cnf(315,negated_conjecture,(multiplication(c(esk3_0),esk3_0)=zero),inference(spm,[status(thm)],[66,269,theory(equality)])).
% cnf(316,negated_conjecture,(multiplication(esk3_0,c(esk3_0))=zero),inference(spm,[status(thm)],[65,269,theory(equality)])).
% cnf(326,negated_conjecture,(addition(c(esk2_0),esk2_0)=one),inference(spm,[status(thm)],[64,270,theory(equality)])).
% cnf(327,negated_conjecture,(multiplication(c(esk2_0),esk2_0)=zero),inference(spm,[status(thm)],[66,270,theory(equality)])).
% cnf(328,negated_conjecture,(multiplication(esk2_0,c(esk2_0))=zero),inference(spm,[status(thm)],[65,270,theory(equality)])).
% cnf(374,plain,(leq(X1,addition(X1,X2))),inference(spm,[status(thm)],[58,96,theory(equality)])).
% cnf(379,negated_conjecture,(addition(esk3_0,one)=one),inference(spm,[status(thm)],[96,203,theory(equality)])).
% cnf(380,negated_conjecture,(addition(esk2_0,one)=one),inference(spm,[status(thm)],[96,209,theory(equality)])).
% cnf(400,negated_conjecture,(addition(one,esk3_0)=one),inference(rw,[status(thm)],[379,21,theory(equality)])).
% cnf(402,negated_conjecture,(addition(one,X1)=addition(one,addition(esk3_0,X1))),inference(spm,[status(thm)],[23,400,theory(equality)])).
% cnf(412,negated_conjecture,(addition(one,esk2_0)=one),inference(rw,[status(thm)],[380,21,theory(equality)])).
% cnf(414,negated_conjecture,(addition(one,X1)=addition(one,addition(esk2_0,X1))),inference(spm,[status(thm)],[23,412,theory(equality)])).
% cnf(424,negated_conjecture,(addition(esk3_0,c(esk3_0))=one),inference(rw,[status(thm)],[314,21,theory(equality)])).
% cnf(435,negated_conjecture,(addition(zero,multiplication(c(esk3_0),X1))=multiplication(c(esk3_0),addition(esk3_0,X1))),inference(spm,[status(thm)],[29,315,theory(equality)])).
% cnf(437,negated_conjecture,(addition(multiplication(c(esk3_0),X1),zero)=multiplication(c(esk3_0),addition(X1,esk3_0))),inference(spm,[status(thm)],[29,315,theory(equality)])).
% cnf(441,negated_conjecture,(multiplication(c(esk3_0),X1)=multiplication(c(esk3_0),addition(esk3_0,X1))),inference(rw,[status(thm)],[435,118,theory(equality)])).
% cnf(443,negated_conjecture,(multiplication(c(esk3_0),X1)=multiplication(c(esk3_0),addition(X1,esk3_0))),inference(rw,[status(thm)],[437,47,theory(equality)])).
% cnf(449,negated_conjecture,(addition(zero,multiplication(X1,c(esk3_0)))=multiplication(addition(esk3_0,X1),c(esk3_0))),inference(spm,[status(thm)],[31,316,theory(equality)])).
% cnf(451,negated_conjecture,(addition(multiplication(X1,c(esk3_0)),zero)=multiplication(addition(X1,esk3_0),c(esk3_0))),inference(spm,[status(thm)],[31,316,theory(equality)])).
% cnf(455,negated_conjecture,(multiplication(X1,c(esk3_0))=multiplication(addition(esk3_0,X1),c(esk3_0))),inference(rw,[status(thm)],[449,118,theory(equality)])).
% cnf(457,negated_conjecture,(multiplication(X1,c(esk3_0))=multiplication(addition(X1,esk3_0),c(esk3_0))),inference(rw,[status(thm)],[451,47,theory(equality)])).
% cnf(460,negated_conjecture,(addition(esk2_0,c(esk2_0))=one),inference(rw,[status(thm)],[326,21,theory(equality)])).
% cnf(470,negated_conjecture,(multiplication(zero,X1)=multiplication(c(esk2_0),multiplication(esk2_0,X1))),inference(spm,[status(thm)],[27,327,theory(equality)])).
% cnf(471,negated_conjecture,(addition(zero,multiplication(c(esk2_0),X1))=multiplication(c(esk2_0),addition(esk2_0,X1))),inference(spm,[status(thm)],[29,327,theory(equality)])).
% cnf(476,negated_conjecture,(zero=multiplication(c(esk2_0),multiplication(esk2_0,X1))),inference(rw,[status(thm)],[470,51,theory(equality)])).
% cnf(477,negated_conjecture,(multiplication(c(esk2_0),X1)=multiplication(c(esk2_0),addition(esk2_0,X1))),inference(rw,[status(thm)],[471,118,theory(equality)])).
% cnf(483,negated_conjecture,(multiplication(zero,X1)=multiplication(esk2_0,multiplication(c(esk2_0),X1))),inference(spm,[status(thm)],[27,328,theory(equality)])).
% cnf(485,negated_conjecture,(addition(zero,multiplication(X1,c(esk2_0)))=multiplication(addition(esk2_0,X1),c(esk2_0))),inference(spm,[status(thm)],[31,328,theory(equality)])).
% cnf(489,negated_conjecture,(zero=multiplication(esk2_0,multiplication(c(esk2_0),X1))),inference(rw,[status(thm)],[483,51,theory(equality)])).
% cnf(491,negated_conjecture,(multiplication(X1,c(esk2_0))=multiplication(addition(esk2_0,X1),c(esk2_0))),inference(rw,[status(thm)],[485,118,theory(equality)])).
% cnf(918,plain,(leq(multiplication(X1,X2),multiplication(X1,addition(X2,X3)))),inference(spm,[status(thm)],[374,29,theory(equality)])).
% cnf(919,plain,(leq(multiplication(X1,X2),multiplication(addition(X1,X3),X2))),inference(spm,[status(thm)],[374,31,theory(equality)])).
% cnf(1068,plain,(complement(addition(X1,X2),X3)|addition(X1,addition(X2,X3))!=one|multiplication(X3,addition(X1,X2))!=zero|multiplication(addition(X1,X2),X3)!=zero),inference(spm,[status(thm)],[63,117,theory(equality)])).
% cnf(1092,plain,(addition(multiplication(X1,X2),addition(X3,multiplication(X4,X2)))=addition(X3,multiplication(addition(X4,X1),X2))),inference(spm,[status(thm)],[117,31,theory(equality)])).
% cnf(1930,negated_conjecture,(addition(zero,multiplication(X2,multiplication(c(esk2_0),X1)))=multiplication(addition(esk2_0,X2),multiplication(c(esk2_0),X1))),inference(spm,[status(thm)],[31,489,theory(equality)])).
% cnf(1945,negated_conjecture,(multiplication(X2,multiplication(c(esk2_0),X1))=multiplication(addition(esk2_0,X2),multiplication(c(esk2_0),X1))),inference(rw,[status(thm)],[1930,118,theory(equality)])).
% cnf(2149,plain,(addition(X1,multiplication(X1,X2))=multiplication(X1,addition(X2,one))),inference(rw,[status(thm)],[142,21,theory(equality)])).
% cnf(2150,negated_conjecture,(addition(one,multiplication(esk3_0,addition(X1,one)))=addition(one,multiplication(esk3_0,X1))),inference(spm,[status(thm)],[402,2149,theory(equality)])).
% cnf(2533,plain,(addition(X2,multiplication(X1,X2))=multiplication(addition(X1,one),X2)),inference(rw,[status(thm)],[175,21,theory(equality)])).
% cnf(2727,negated_conjecture,(multiplication(esk3_0,one)=multiplication(esk3_0,esk3_0)),inference(spm,[status(thm)],[226,203,theory(equality)])).
% cnf(2742,negated_conjecture,(esk3_0=multiplication(esk3_0,esk3_0)),inference(rw,[status(thm)],[2727,53,theory(equality)])).
% cnf(2746,negated_conjecture,(multiplication(esk3_0,X1)=multiplication(esk3_0,multiplication(esk3_0,X1))),inference(spm,[status(thm)],[27,2742,theory(equality)])).
% cnf(2750,negated_conjecture,(addition(multiplication(esk3_0,X1),esk3_0)=multiplication(esk3_0,addition(X1,esk3_0))),inference(spm,[status(thm)],[29,2742,theory(equality)])).
% cnf(2930,negated_conjecture,(multiplication(esk3_0,addition(X1,one))=multiplication(esk3_0,addition(X1,esk3_0))),inference(rw,[status(thm)],[inference(rw,[status(thm)],[2750,21,theory(equality)]),2149,theory(equality)])).
% cnf(2931,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)],[2533,2930,theory(equality)])).
% cnf(2947,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)],[2931,23,theory(equality)]),2149,theory(equality)]),23,theory(equality)]),25,theory(equality)])).
% cnf(2948,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)],[2947,21,theory(equality)]),400,theory(equality)]),55,theory(equality)])).
% cnf(3254,negated_conjecture,(multiplication(esk2_0,one)=multiplication(esk2_0,esk2_0)),inference(spm,[status(thm)],[246,209,theory(equality)])).
% cnf(3269,negated_conjecture,(esk2_0=multiplication(esk2_0,esk2_0)),inference(rw,[status(thm)],[3254,53,theory(equality)])).
% cnf(3277,negated_conjecture,(addition(multiplication(esk2_0,X1),esk2_0)=multiplication(esk2_0,addition(X1,esk2_0))),inference(spm,[status(thm)],[29,3269,theory(equality)])).
% cnf(3395,negated_conjecture,(multiplication(esk2_0,addition(X1,one))=multiplication(esk2_0,addition(X1,esk2_0))),inference(rw,[status(thm)],[inference(rw,[status(thm)],[3277,21,theory(equality)]),2149,theory(equality)])).
% cnf(3396,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)],[2533,3395,theory(equality)])).
% cnf(3412,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)],[3396,23,theory(equality)]),2149,theory(equality)]),23,theory(equality)]),25,theory(equality)])).
% cnf(3413,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)],[3412,21,theory(equality)]),412,theory(equality)]),55,theory(equality)])).
% cnf(4768,negated_conjecture,(addition(esk3_0,addition(multiplication(esk3_0,X1),X2))=addition(multiplication(esk3_0,addition(esk3_0,X1)),X2)),inference(spm,[status(thm)],[136,2742,theory(equality)])).
% cnf(4777,negated_conjecture,(addition(esk2_0,addition(multiplication(esk2_0,X1),X2))=addition(multiplication(esk2_0,addition(esk2_0,X1)),X2)),inference(spm,[status(thm)],[136,3269,theory(equality)])).
% cnf(5346,negated_conjecture,(addition(esk3_0,addition(multiplication(X1,esk3_0),X2))=addition(multiplication(addition(esk3_0,X1),esk3_0),X2)),inference(spm,[status(thm)],[171,2742,theory(equality)])).
% cnf(5351,negated_conjecture,(addition(esk2_0,addition(multiplication(X1,esk2_0),X2))=addition(multiplication(addition(esk2_0,X1),esk2_0),X2)),inference(spm,[status(thm)],[171,3269,theory(equality)])).
% cnf(10688,negated_conjecture,(leq(esk3_0,multiplication(esk3_0,addition(esk3_0,X1)))),inference(spm,[status(thm)],[918,2742,theory(equality)])).
% cnf(10695,negated_conjecture,(leq(esk2_0,multiplication(esk2_0,addition(esk2_0,X1)))),inference(spm,[status(thm)],[918,3269,theory(equality)])).
% cnf(10782,negated_conjecture,(addition(esk3_0,multiplication(esk3_0,addition(esk3_0,X1)))=multiplication(esk3_0,addition(esk3_0,X1))),inference(spm,[status(thm)],[59,10688,theory(equality)])).
% cnf(10801,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)],[10782,2149,theory(equality)]),23,theory(equality)]),117,theory(equality)]),402,theory(equality)])).
% cnf(10813,negated_conjecture,(addition(esk2_0,multiplication(esk2_0,addition(esk2_0,X1)))=multiplication(esk2_0,addition(esk2_0,X1))),inference(spm,[status(thm)],[59,10695,theory(equality)])).
% cnf(10832,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)],[10813,2149,theory(equality)]),23,theory(equality)]),117,theory(equality)]),414,theory(equality)])).
% cnf(11154,negated_conjecture,(leq(esk3_0,multiplication(addition(esk3_0,X1),esk3_0))),inference(spm,[status(thm)],[919,2742,theory(equality)])).
% cnf(11162,negated_conjecture,(leq(esk2_0,multiplication(addition(esk2_0,X1),esk2_0))),inference(spm,[status(thm)],[919,3269,theory(equality)])).
% cnf(11491,negated_conjecture,(addition(esk3_0,multiplication(addition(esk3_0,X1),esk3_0))=multiplication(addition(esk3_0,X1),esk3_0)),inference(spm,[status(thm)],[59,11154,theory(equality)])).
% cnf(11510,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)],[11491,2533,theory(equality)]),23,theory(equality)]),117,theory(equality)]),402,theory(equality)])).
% cnf(11523,negated_conjecture,(addition(esk2_0,multiplication(addition(esk2_0,X1),esk2_0))=multiplication(addition(esk2_0,X1),esk2_0)),inference(spm,[status(thm)],[59,11162,theory(equality)])).
% cnf(11542,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)],[11523,2533,theory(equality)]),23,theory(equality)]),117,theory(equality)]),414,theory(equality)])).
% cnf(14231,negated_conjecture,(addition(one,multiplication(esk3_0,addition(one,X1)))=addition(one,multiplication(esk3_0,X1))),inference(spm,[status(thm)],[2150,21,theory(equality)])).
% cnf(17926,negated_conjecture,(addition(one,multiplication(esk3_0,one))=addition(one,multiplication(esk3_0,esk2_0))),inference(spm,[status(thm)],[14231,412,theory(equality)])).
% cnf(18009,negated_conjecture,(one=addition(one,multiplication(esk3_0,esk2_0))),inference(rw,[status(thm)],[inference(rw,[status(thm)],[17926,53,theory(equality)]),400,theory(equality)])).
% cnf(18073,negated_conjecture,(leq(multiplication(multiplication(esk3_0,esk2_0),X1),multiplication(one,X1))),inference(spm,[status(thm)],[277,18009,theory(equality)])).
% cnf(18145,negated_conjecture,(leq(multiplication(esk3_0,multiplication(esk2_0,X1)),X1)),inference(rw,[status(thm)],[inference(rw,[status(thm)],[18073,27,theory(equality)]),55,theory(equality)])).
% cnf(25930,negated_conjecture,(addition(multiplication(esk3_0,multiplication(esk2_0,X1)),X1)=X1),inference(spm,[status(thm)],[59,18145,theory(equality)])).
% cnf(41779,negated_conjecture,(addition(X1,multiplication(esk3_0,multiplication(esk2_0,X1)))=X1),inference(rw,[status(thm)],[25930,21,theory(equality)])).
% cnf(53417,negated_conjecture,(addition(multiplication(esk3_0,addition(one,X1)),X2)=addition(esk3_0,addition(multiplication(esk3_0,X1),X2))),inference(rw,[status(thm)],[4768,10801,theory(equality)])).
% cnf(53750,negated_conjecture,(addition(multiplication(esk3_0,one),X1)=addition(esk3_0,addition(multiplication(esk3_0,multiplication(esk3_0,multiplication(esk2_0,one))),X1))),inference(spm,[status(thm)],[53417,41779,theory(equality)])).
% cnf(54159,negated_conjecture,(addition(esk3_0,X1)=addition(esk3_0,addition(multiplication(esk3_0,multiplication(esk3_0,multiplication(esk2_0,one))),X1))),inference(rw,[status(thm)],[53750,53,theory(equality)])).
% cnf(54160,negated_conjecture,(addition(esk3_0,X1)=addition(esk3_0,addition(multiplication(esk3_0,esk2_0),X1))),inference(rw,[status(thm)],[inference(rw,[status(thm)],[54159,53,theory(equality)]),2746,theory(equality)])).
% cnf(54450,negated_conjecture,(addition(esk3_0,multiplication(addition(esk3_0,X1),esk2_0))=addition(esk3_0,multiplication(X1,esk2_0))),inference(spm,[status(thm)],[54160,31,theory(equality)])).
% cnf(56076,negated_conjecture,(addition(esk3_0,multiplication(one,esk2_0))=addition(esk3_0,multiplication(c(esk3_0),esk2_0))),inference(spm,[status(thm)],[54450,424,theory(equality)])).
% cnf(56163,negated_conjecture,(addition(esk2_0,esk3_0)=addition(esk3_0,multiplication(c(esk3_0),esk2_0))),inference(rw,[status(thm)],[inference(rw,[status(thm)],[56076,55,theory(equality)]),21,theory(equality)])).
% cnf(56259,negated_conjecture,(multiplication(addition(esk2_0,esk3_0),c(esk3_0))=multiplication(multiplication(c(esk3_0),esk2_0),c(esk3_0))),inference(spm,[status(thm)],[455,56163,theory(equality)])).
% cnf(56333,negated_conjecture,(multiplication(esk2_0,c(esk3_0))=multiplication(multiplication(c(esk3_0),esk2_0),c(esk3_0))),inference(rw,[status(thm)],[56259,457,theory(equality)])).
% cnf(56334,negated_conjecture,(multiplication(esk2_0,c(esk3_0))=multiplication(c(esk3_0),multiplication(esk2_0,c(esk3_0)))),inference(rw,[status(thm)],[56333,27,theory(equality)])).
% cnf(57742,negated_conjecture,(addition(multiplication(esk2_0,addition(one,X1)),X2)=addition(esk2_0,addition(multiplication(esk2_0,X1),X2))),inference(rw,[status(thm)],[4777,10832,theory(equality)])).
% cnf(58094,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)],[57742,2948,theory(equality)])).
% cnf(58516,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)],[58094,400,theory(equality)]),53,theory(equality)])).
% cnf(58517,negated_conjecture,(addition(esk2_0,X1)=addition(esk2_0,addition(multiplication(esk2_0,esk3_0),X1))),inference(rw,[status(thm)],[inference(rw,[status(thm)],[58516,25,theory(equality)]),53,theory(equality)])).
% cnf(58812,negated_conjecture,(addition(esk2_0,multiplication(addition(esk2_0,X1),esk3_0))=addition(esk2_0,multiplication(X1,esk3_0))),inference(spm,[status(thm)],[58517,31,theory(equality)])).
% cnf(64721,negated_conjecture,(addition(esk2_0,multiplication(one,esk3_0))=addition(esk2_0,multiplication(c(esk2_0),esk3_0))),inference(spm,[status(thm)],[58812,460,theory(equality)])).
% cnf(64812,negated_conjecture,(addition(esk2_0,esk3_0)=addition(esk2_0,multiplication(c(esk2_0),esk3_0))),inference(rw,[status(thm)],[64721,55,theory(equality)])).
% cnf(64915,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)],[491,64812,theory(equality)])).
% cnf(64991,negated_conjecture,(multiplication(esk3_0,c(esk2_0))=multiplication(multiplication(c(esk2_0),esk3_0),c(esk2_0))),inference(rw,[status(thm)],[64915,491,theory(equality)])).
% cnf(64992,negated_conjecture,(multiplication(esk3_0,c(esk2_0))=multiplication(c(esk2_0),multiplication(esk3_0,c(esk2_0)))),inference(rw,[status(thm)],[64991,27,theory(equality)])).
% cnf(70793,negated_conjecture,(addition(multiplication(addition(one,X1),esk3_0),X2)=addition(esk3_0,addition(multiplication(X1,esk3_0),X2))),inference(rw,[status(thm)],[5346,11510,theory(equality)])).
% cnf(71196,negated_conjecture,(addition(multiplication(addition(one,esk2_0),esk3_0),X1)=addition(esk3_0,addition(multiplication(multiplication(esk2_0,addition(one,one)),esk3_0),X1))),inference(spm,[status(thm)],[70793,3413,theory(equality)])).
% cnf(71679,negated_conjecture,(addition(esk3_0,X1)=addition(esk3_0,addition(multiplication(multiplication(esk2_0,addition(one,one)),esk3_0),X1))),inference(rw,[status(thm)],[inference(rw,[status(thm)],[71196,412,theory(equality)]),55,theory(equality)])).
% cnf(71680,negated_conjecture,(addition(esk3_0,X1)=addition(esk3_0,addition(multiplication(esk2_0,esk3_0),X1))),inference(rw,[status(thm)],[inference(rw,[status(thm)],[71679,25,theory(equality)]),53,theory(equality)])).
% cnf(72353,negated_conjecture,(addition(esk3_0,multiplication(esk2_0,addition(esk3_0,X1)))=addition(esk3_0,multiplication(esk2_0,X1))),inference(spm,[status(thm)],[71680,29,theory(equality)])).
% cnf(75226,negated_conjecture,(addition(esk3_0,multiplication(esk2_0,one))=addition(esk3_0,multiplication(esk2_0,c(esk3_0)))),inference(spm,[status(thm)],[72353,424,theory(equality)])).
% cnf(75337,negated_conjecture,(addition(esk2_0,esk3_0)=addition(esk3_0,multiplication(esk2_0,c(esk3_0)))),inference(rw,[status(thm)],[inference(rw,[status(thm)],[75226,53,theory(equality)]),21,theory(equality)])).
% cnf(76176,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)],[1092,75337,theory(equality)])).
% cnf(76181,negated_conjecture,(multiplication(c(esk3_0),addition(esk2_0,esk3_0))=multiplication(c(esk3_0),multiplication(esk2_0,c(esk3_0)))),inference(spm,[status(thm)],[441,75337,theory(equality)])).
% cnf(76261,negated_conjecture,(multiplication(c(esk3_0),esk2_0)=multiplication(c(esk3_0),multiplication(esk2_0,c(esk3_0)))),inference(rw,[status(thm)],[76181,443,theory(equality)])).
% cnf(76262,negated_conjecture,(multiplication(c(esk3_0),esk2_0)=multiplication(esk2_0,c(esk3_0))),inference(rw,[status(thm)],[76261,56334,theory(equality)])).
% cnf(77561,negated_conjecture,(addition(multiplication(addition(one,X1),esk2_0),X2)=addition(esk2_0,addition(multiplication(X1,esk2_0),X2))),inference(rw,[status(thm)],[5351,11542,theory(equality)])).
% cnf(77981,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)],[77561,2948,theory(equality)])).
% cnf(78481,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)],[77981,400,theory(equality)]),55,theory(equality)])).
% cnf(78482,negated_conjecture,(addition(esk2_0,X1)=addition(esk2_0,addition(multiplication(esk3_0,esk2_0),X1))),inference(rw,[status(thm)],[inference(rw,[status(thm)],[78481,25,theory(equality)]),53,theory(equality)])).
% cnf(79385,negated_conjecture,(addition(esk2_0,multiplication(esk3_0,addition(esk2_0,X1)))=addition(esk2_0,multiplication(esk3_0,X1))),inference(spm,[status(thm)],[78482,29,theory(equality)])).
% cnf(80997,negated_conjecture,(addition(esk2_0,multiplication(esk3_0,one))=addition(esk2_0,multiplication(esk3_0,c(esk2_0)))),inference(spm,[status(thm)],[79385,460,theory(equality)])).
% cnf(81103,negated_conjecture,(addition(esk2_0,esk3_0)=addition(esk2_0,multiplication(esk3_0,c(esk2_0)))),inference(rw,[status(thm)],[80997,53,theory(equality)])).
% cnf(81622,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)],[477,81103,theory(equality)])).
% cnf(81703,negated_conjecture,(multiplication(c(esk2_0),esk3_0)=multiplication(c(esk2_0),multiplication(esk3_0,c(esk2_0)))),inference(rw,[status(thm)],[81622,477,theory(equality)])).
% cnf(81704,negated_conjecture,(multiplication(c(esk2_0),esk3_0)=multiplication(esk3_0,c(esk2_0))),inference(rw,[status(thm)],[81703,64992,theory(equality)])).
% cnf(81739,negated_conjecture,(multiplication(multiplication(esk3_0,c(esk2_0)),X1)=multiplication(c(esk2_0),multiplication(esk3_0,X1))),inference(spm,[status(thm)],[27,81704,theory(equality)])).
% cnf(81806,negated_conjecture,(multiplication(esk3_0,multiplication(c(esk2_0),X1))=multiplication(c(esk2_0),multiplication(esk3_0,X1))),inference(rw,[status(thm)],[81739,27,theory(equality)])).
% cnf(81896,negated_conjecture,(multiplication(c(esk2_0),zero)=multiplication(esk3_0,multiplication(c(esk2_0),c(esk3_0)))),inference(spm,[status(thm)],[81806,316,theory(equality)])).
% cnf(81965,negated_conjecture,(zero=multiplication(esk3_0,multiplication(c(esk2_0),c(esk3_0)))),inference(rw,[status(thm)],[81896,49,theory(equality)])).
% cnf(219127,negated_conjecture,(addition(esk2_0,addition(esk3_0,multiplication(X1,c(esk3_0))))=addition(esk3_0,multiplication(addition(esk2_0,X1),c(esk3_0)))),inference(rw,[status(thm)],[inference(rw,[status(thm)],[76176,130,theory(equality)]),21,theory(equality)])).
% cnf(219434,negated_conjecture,(addition(esk3_0,multiplication(one,c(esk3_0)))=addition(esk2_0,addition(esk3_0,multiplication(c(esk2_0),c(esk3_0))))),inference(spm,[status(thm)],[219127,460,theory(equality)])).
% cnf(219666,negated_conjecture,(one=addition(esk2_0,addition(esk3_0,multiplication(c(esk2_0),c(esk3_0))))),inference(rw,[status(thm)],[inference(rw,[status(thm)],[219434,55,theory(equality)]),424,theory(equality)])).
% cnf(219894,negated_conjecture,(complement(addition(esk2_0,esk3_0),multiplication(c(esk2_0),c(esk3_0)))|multiplication(multiplication(c(esk2_0),c(esk3_0)),addition(esk2_0,esk3_0))!=zero|multiplication(addition(esk2_0,esk3_0),multiplication(c(esk2_0),c(esk3_0)))!=zero),inference(spm,[status(thm)],[1068,219666,theory(equality)])).
% cnf(219897,negated_conjecture,(complement(multiplication(c(esk2_0),c(esk3_0)),addition(esk2_0,esk3_0))|multiplication(addition(esk2_0,esk3_0),multiplication(c(esk2_0),c(esk3_0)))!=zero|multiplication(multiplication(c(esk2_0),c(esk3_0)),addition(esk2_0,esk3_0))!=zero),inference(spm,[status(thm)],[94,219666,theory(equality)])).
% cnf(220197,negated_conjecture,(complement(addition(esk2_0,esk3_0),multiplication(c(esk2_0),c(esk3_0)))|$false|multiplication(addition(esk2_0,esk3_0),multiplication(c(esk2_0),c(esk3_0)))!=zero),inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[219894,27,theory(equality)]),443,theory(equality)]),76262,theory(equality)]),476,theory(equality)])).
% cnf(220198,negated_conjecture,(complement(addition(esk2_0,esk3_0),multiplication(c(esk2_0),c(esk3_0)))|$false|$false),inference(rw,[status(thm)],[inference(rw,[status(thm)],[220197,1945,theory(equality)]),81965,theory(equality)])).
% cnf(220199,negated_conjecture,(complement(addition(esk2_0,esk3_0),multiplication(c(esk2_0),c(esk3_0)))),inference(cn,[status(thm)],[220198,theory(equality)])).
% cnf(220200,negated_conjecture,(complement(multiplication(c(esk2_0),c(esk3_0)),addition(esk2_0,esk3_0))|$false|multiplication(multiplication(c(esk2_0),c(esk3_0)),addition(esk2_0,esk3_0))!=zero),inference(rw,[status(thm)],[inference(rw,[status(thm)],[219897,1945,theory(equality)]),81965,theory(equality)])).
% cnf(220201,negated_conjecture,(complement(multiplication(c(esk2_0),c(esk3_0)),addition(esk2_0,esk3_0))|$false|$false),inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[220200,27,theory(equality)]),443,theory(equality)]),76262,theory(equality)]),476,theory(equality)])).
% cnf(220202,negated_conjecture,(complement(multiplication(c(esk2_0),c(esk3_0)),addition(esk2_0,esk3_0))),inference(cn,[status(thm)],[220201,theory(equality)])).
% cnf(221052,negated_conjecture,(c(addition(esk2_0,esk3_0))=multiplication(c(esk2_0),c(esk3_0))|~test(addition(esk2_0,esk3_0))),inference(spm,[status(thm)],[38,220199,theory(equality)])).
% cnf(221058,negated_conjecture,(~test(addition(esk2_0,esk3_0))),inference(sr,[status(thm)],[221052,70,theory(equality)])).
% cnf(221074,negated_conjecture,(test(addition(esk2_0,esk3_0))),inference(spm,[status(thm)],[45,220202,theory(equality)])).
% cnf(221081,negated_conjecture,($false),inference(sr,[status(thm)],[221074,221058,theory(equality)])).
% cnf(221082,negated_conjecture,($false),221081,['proof']).
% # SZS output end CNFRefutation
% # Processed clauses                  : 8060
% # ...of these trivial                : 1827
% # ...subsumed                        : 4915
% # ...remaining for further processing: 1318
% # Other redundant clauses eliminated : 0
% # Clauses deleted for lack of memory : 0
% # Backward-subsumed                  : 2
% # Backward-rewritten                 : 263
% # Generated clauses                  : 116591
% # ...of the previous two non-trivial : 83602
% # Contextual simplify-reflections    : 34
% # Paramodulations                    : 116584
% # Factorizations                     : 0
% # Equation resolutions               : 7
% # Current number of processed clauses: 1053
% #    Positive orientable unit clauses: 702
% #    Positive unorientable unit clauses: 14
% #    Negative unit clauses           : 2
% #    Non-unit-clauses                : 335
% # Current number of unprocessed clauses: 68813
% # ...number of literals in the above : 109697
% # Clause-clause subsumption calls (NU) : 25722
% # Rec. Clause-clause subsumption calls : 25666
% # Unit Clause-clause subsumption calls : 678
% # Rewrite failures with RHS unbound  : 0
% # Indexed BW rewrite attempts        : 2202
% # Indexed BW rewrite successes       : 253
% # Backwards rewriting index:   791 leaves,   1.84+/-1.919 terms/leaf
% # Paramod-from index:          414 leaves,   1.75+/-1.535 terms/leaf
% # Paramod-into index:          605 leaves,   1.86+/-1.934 terms/leaf
% # -------------------------------------------------
% # User time              : 3.294 s
% # System time            : 0.149 s
% # Total time             : 3.443 s
% # Maximum resident set size: 0 pages
% PrfWatch: 6.28 CPU 6.42 WC
% FINAL PrfWatch: 6.28 CPU 6.42 WC
% SZS output end Solution for /tmp/SystemOnTPTP7415/KLE014+2.tptp
% 
%------------------------------------------------------------------------------