%------------------------------------------------------------------------------
% File     : SRASS---0.1
% Problem  : KLE016+3 : TPTP v5.0.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp
% Command  : SRASS -q2 -a 0 10 10 10 -i3 -n60 %s

% Computer : art06.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 07:33:15 EST 2010

% Result   : Theorem 41.65s
% Output   : Solution 41.65s
% 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/SystemOnTPTP13773/KLE016+3.tptp
% Adding relevance values
% Extracting the conjecture
% Sorting axioms by relevance
% Looking for THM       ... 
% found
% SZS status THM for /tmp/SystemOnTPTP13773/KLE016+3.tptp
% SZS output start Solution for /tmp/SystemOnTPTP13773/KLE016+3.tptp
% TreeLimitedRun: ----------------------------------------------------------
% TreeLimitedRun: /home/graph/tptp/Systems/EP---1.2/eproof --print-statistics -xAuto -tAuto --cpu-limit=60 --proof-time-unlimited --memory-limit=Auto --tstp-in --tstp-out /tmp/SRASS.s.p 
% TreeLimitedRun: CPU time limit is 60s
% TreeLimitedRun: WC  time limit is 120s
% TreeLimitedRun: PID is 13869
% TreeLimitedRun: ----------------------------------------------------------
% PrfWatch: 0.00 CPU 0.00 WC
% PrfWatch: 1.91 CPU 2.01 WC
% PrfWatch: 3.90 CPU 4.01 WC
% PrfWatch: 5.89 CPU 6.02 WC
% PrfWatch: 7.89 CPU 8.02 WC
% PrfWatch: 9.86 CPU 10.03 WC
% PrfWatch: 11.85 CPU 12.03 WC
% PrfWatch: 13.83 CPU 14.04 WC
% PrfWatch: 15.82 CPU 16.04 WC
% PrfWatch: 17.81 CPU 18.05 WC
% PrfWatch: 19.79 CPU 20.05 WC
% PrfWatch: 21.78 CPU 22.06 WC
% # Preprocessing time     : 0.013 s
% # Problem is unsatisfiable (or provable), constructing proof object
% # SZS status Theorem
% PrfWatch: 23.74 CPU 24.06 WC
% PrfWatch: 25.73 CPU 26.07 WC
% PrfWatch: 27.73 CPU 28.07 WC
% PrfWatch: 29.72 CPU 30.08 WC
% PrfWatch: 31.70 CPU 32.08 WC
% PrfWatch: 33.69 CPU 34.08 WC
% PrfWatch: 35.69 CPU 36.09 WC
% PrfWatch: 37.68 CPU 38.09 WC
% PrfWatch: 39.68 CPU 40.10 WC
% # SZS output start CNFRefutation.
% fof(1, axiom,![X1]:![X2]:(leq(X1,X2)<=>addition(X1,X2)=X2),file('/tmp/SRASS.s.p', order)).
% fof(2, axiom,![X1]:![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,![X1]:![X2]:![X3]:multiplication(X1,multiplication(X2,X3))=multiplication(multiplication(X1,X2),X3),file('/tmp/SRASS.s.p', multiplicative_associativity)).
% fof(9, axiom,![X4]:![X5]:(test(X4)=>(c(X4)=X5<=>complement(X4,X5))),file('/tmp/SRASS.s.p', test_3)).
% fof(10, axiom,![X4]:(test(X4)<=>?[X5]:complement(X5,X4)),file('/tmp/SRASS.s.p', test_1)).
% fof(11, axiom,![X1]:addition(X1,zero)=X1,file('/tmp/SRASS.s.p', additive_identity)).
% fof(13, axiom,![X1]:multiplication(zero,X1)=zero,file('/tmp/SRASS.s.p', left_annihilation)).
% fof(14, axiom,![X1]:multiplication(X1,one)=X1,file('/tmp/SRASS.s.p', multiplicative_right_identity)).
% fof(15, axiom,![X1]:multiplication(one,X1)=X1,file('/tmp/SRASS.s.p', multiplicative_left_identity)).
% 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))=>(leq(c(multiplication(X4,X5)),addition(c(X4),c(X5)))&leq(addition(c(X4),c(X5)),c(multiplication(X4,X5))))),file('/tmp/SRASS.s.p', goals)).
% fof(18, negated_conjecture,~(![X4]:![X5]:((test(X5)&test(X4))=>(leq(c(multiplication(X4,X5)),addition(c(X4),c(X5)))&leq(addition(c(X4),c(X5)),c(multiplication(X4,X5)))))),inference(assume_negation,[status(cth)],[17])).
% fof(20, plain,![X1]:![X2]:((~(leq(X1,X2))|addition(X1,X2)=X2)&(~(addition(X1,X2)=X2)|leq(X1,X2))),inference(fof_nnf,[status(thm)],[1])).
% fof(21, plain,![X3]:![X4]:((~(leq(X3,X4))|addition(X3,X4)=X4)&(~(addition(X3,X4)=X4)|leq(X3,X4))),inference(variable_rename,[status(thm)],[20])).
% cnf(22,plain,(leq(X1,X2)|addition(X1,X2)!=X2),inference(split_conjunct,[status(thm)],[21])).
% fof(24, plain,![X4]:![X5]:![X6]:multiplication(X4,addition(X5,X6))=addition(multiplication(X4,X5),multiplication(X4,X6)),inference(variable_rename,[status(thm)],[2])).
% cnf(25,plain,(multiplication(X1,addition(X2,X3))=addition(multiplication(X1,X2),multiplication(X1,X3))),inference(split_conjunct,[status(thm)],[24])).
% fof(26, plain,![X4]:![X5]:![X6]:multiplication(addition(X4,X5),X6)=addition(multiplication(X4,X6),multiplication(X5,X6)),inference(variable_rename,[status(thm)],[3])).
% cnf(27,plain,(multiplication(addition(X1,X2),X3)=addition(multiplication(X1,X3),multiplication(X2,X3))),inference(split_conjunct,[status(thm)],[26])).
% fof(28, plain,![X3]:![X4]:addition(X3,X4)=addition(X4,X3),inference(variable_rename,[status(thm)],[4])).
% cnf(29,plain,(addition(X1,X2)=addition(X2,X1)),inference(split_conjunct,[status(thm)],[28])).
% fof(30, plain,![X4]:![X5]:![X6]:addition(X6,addition(X5,X4))=addition(addition(X6,X5),X4),inference(variable_rename,[status(thm)],[5])).
% cnf(31,plain,(addition(X1,addition(X2,X3))=addition(addition(X1,X2),X3)),inference(split_conjunct,[status(thm)],[30])).
% fof(32, plain,![X2]:addition(X2,X2)=X2,inference(variable_rename,[status(thm)],[6])).
% cnf(33,plain,(addition(X1,X1)=X1),inference(split_conjunct,[status(thm)],[32])).
% fof(34, plain,![X4]:![X5]:![X6]:multiplication(X4,multiplication(X5,X6))=multiplication(multiplication(X4,X5),X6),inference(variable_rename,[status(thm)],[7])).
% cnf(35,plain,(multiplication(X1,multiplication(X2,X3))=multiplication(multiplication(X1,X2),X3)),inference(split_conjunct,[status(thm)],[34])).
% fof(39, plain,![X4]:![X5]:(~(test(X4))|((~(c(X4)=X5)|complement(X4,X5))&(~(complement(X4,X5))|c(X4)=X5))),inference(fof_nnf,[status(thm)],[9])).
% fof(40, plain,![X6]:![X7]:(~(test(X6))|((~(c(X6)=X7)|complement(X6,X7))&(~(complement(X6,X7))|c(X6)=X7))),inference(variable_rename,[status(thm)],[39])).
% fof(41, plain,![X6]:![X7]:(((~(c(X6)=X7)|complement(X6,X7))|~(test(X6)))&((~(complement(X6,X7))|c(X6)=X7)|~(test(X6)))),inference(distribute,[status(thm)],[40])).
% cnf(42,plain,(c(X1)=X2|~test(X1)|~complement(X1,X2)),inference(split_conjunct,[status(thm)],[41])).
% cnf(43,plain,(complement(X1,X2)|~test(X1)|c(X1)!=X2),inference(split_conjunct,[status(thm)],[41])).
% fof(44, plain,![X4]:((~(test(X4))|?[X5]:complement(X5,X4))&(![X5]:~(complement(X5,X4))|test(X4))),inference(fof_nnf,[status(thm)],[10])).
% fof(45, plain,![X6]:((~(test(X6))|?[X7]:complement(X7,X6))&(![X8]:~(complement(X8,X6))|test(X6))),inference(variable_rename,[status(thm)],[44])).
% fof(46, plain,![X6]:((~(test(X6))|complement(esk1_1(X6),X6))&(![X8]:~(complement(X8,X6))|test(X6))),inference(skolemize,[status(esa)],[45])).
% fof(47, plain,![X6]:![X8]:((~(complement(X8,X6))|test(X6))&(~(test(X6))|complement(esk1_1(X6),X6))),inference(shift_quantors,[status(thm)],[46])).
% cnf(49,plain,(test(X1)|~complement(X2,X1)),inference(split_conjunct,[status(thm)],[47])).
% fof(50, plain,![X2]:addition(X2,zero)=X2,inference(variable_rename,[status(thm)],[11])).
% cnf(51,plain,(addition(X1,zero)=X1),inference(split_conjunct,[status(thm)],[50])).
% fof(54, plain,![X2]:multiplication(zero,X2)=zero,inference(variable_rename,[status(thm)],[13])).
% cnf(55,plain,(multiplication(zero,X1)=zero),inference(split_conjunct,[status(thm)],[54])).
% fof(56, plain,![X2]:multiplication(X2,one)=X2,inference(variable_rename,[status(thm)],[14])).
% cnf(57,plain,(multiplication(X1,one)=X1),inference(split_conjunct,[status(thm)],[56])).
% fof(58, plain,![X2]:multiplication(one,X2)=X2,inference(variable_rename,[status(thm)],[15])).
% cnf(59,plain,(multiplication(one,X1)=X1),inference(split_conjunct,[status(thm)],[58])).
% 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))&(~(leq(c(multiplication(X4,X5)),addition(c(X4),c(X5))))|~(leq(addition(c(X4),c(X5)),c(multiplication(X4,X5)))))),inference(fof_nnf,[status(thm)],[18])).
% fof(68, negated_conjecture,?[X6]:?[X7]:((test(X7)&test(X6))&(~(leq(c(multiplication(X6,X7)),addition(c(X6),c(X7))))|~(leq(addition(c(X6),c(X7)),c(multiplication(X6,X7)))))),inference(variable_rename,[status(thm)],[67])).
% fof(69, negated_conjecture,((test(esk3_0)&test(esk2_0))&(~(leq(c(multiplication(esk2_0,esk3_0)),addition(c(esk2_0),c(esk3_0))))|~(leq(addition(c(esk2_0),c(esk3_0)),c(multiplication(esk2_0,esk3_0)))))),inference(skolemize,[status(esa)],[68])).
% cnf(70,negated_conjecture,(~leq(addition(c(esk2_0),c(esk3_0)),c(multiplication(esk2_0,esk3_0)))|~leq(c(multiplication(esk2_0,esk3_0)),addition(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(73,plain,(addition(zero,X1)=X1),inference(spm,[status(thm)],[51,29,theory(equality)])).
% cnf(80,negated_conjecture,(complement(esk3_0,X1)|c(esk3_0)!=X1),inference(spm,[status(thm)],[43,72,theory(equality)])).
% cnf(81,negated_conjecture,(complement(esk2_0,X1)|c(esk2_0)!=X1),inference(spm,[status(thm)],[43,71,theory(equality)])).
% cnf(90,plain,(addition(X1,addition(X2,addition(X1,X2)))=addition(X1,X2)),inference(spm,[status(thm)],[33,31,theory(equality)])).
% cnf(91,plain,(addition(X1,addition(X2,X3))=addition(X3,addition(X1,X2))),inference(spm,[status(thm)],[29,31,theory(equality)])).
% cnf(95,plain,(addition(X1,X2)=addition(X1,addition(X1,X2))),inference(spm,[status(thm)],[31,33,theory(equality)])).
% cnf(96,plain,(addition(addition(X2,X1),X3)=addition(X1,addition(X2,X3))),inference(spm,[status(thm)],[31,29,theory(equality)])).
% cnf(101,plain,(addition(X2,addition(X1,X3))=addition(X1,addition(X2,X3))),inference(rw,[status(thm)],[96,31,theory(equality)])).
% cnf(127,plain,(addition(multiplication(X1,X2),X1)=multiplication(X1,addition(X2,one))),inference(spm,[status(thm)],[25,57,theory(equality)])).
% cnf(156,plain,(addition(multiplication(X1,X2),X2)=multiplication(addition(X1,one),X2)),inference(spm,[status(thm)],[27,59,theory(equality)])).
% cnf(163,plain,(addition(multiplication(X1,multiplication(X2,X3)),multiplication(X4,X3))=multiplication(addition(multiplication(X1,X2),X4),X3)),inference(spm,[status(thm)],[27,35,theory(equality)])).
% cnf(181,plain,(test(X1)|addition(X1,X2)!=one|multiplication(X1,X2)!=zero|multiplication(X2,X1)!=zero),inference(spm,[status(thm)],[49,63,theory(equality)])).
% cnf(184,plain,(c(X1)=X2|~test(X1)|addition(X2,X1)!=one|multiplication(X2,X1)!=zero|multiplication(X1,X2)!=zero),inference(spm,[status(thm)],[42,63,theory(equality)])).
% cnf(194,negated_conjecture,(addition(X1,esk3_0)=one|c(esk3_0)!=X1),inference(spm,[status(thm)],[64,80,theory(equality)])).
% cnf(195,negated_conjecture,(multiplication(X1,esk3_0)=zero|c(esk3_0)!=X1),inference(spm,[status(thm)],[66,80,theory(equality)])).
% cnf(197,negated_conjecture,(multiplication(esk3_0,X1)=zero|c(esk3_0)!=X1),inference(spm,[status(thm)],[65,80,theory(equality)])).
% cnf(203,negated_conjecture,(addition(c(esk3_0),esk3_0)=one),inference(er,[status(thm)],[194,theory(equality)])).
% cnf(204,negated_conjecture,(addition(esk3_0,c(esk3_0))=one),inference(rw,[status(thm)],[203,29,theory(equality)])).
% cnf(205,negated_conjecture,(addition(one,X1)=addition(esk3_0,addition(c(esk3_0),X1))),inference(spm,[status(thm)],[31,204,theory(equality)])).
% cnf(206,negated_conjecture,(multiplication(c(esk3_0),esk3_0)=zero),inference(er,[status(thm)],[195,theory(equality)])).
% cnf(207,negated_conjecture,(multiplication(zero,X1)=multiplication(c(esk3_0),multiplication(esk3_0,X1))),inference(spm,[status(thm)],[35,206,theory(equality)])).
% cnf(208,negated_conjecture,(addition(zero,multiplication(c(esk3_0),X1))=multiplication(c(esk3_0),addition(esk3_0,X1))),inference(spm,[status(thm)],[25,206,theory(equality)])).
% cnf(209,negated_conjecture,(addition(zero,multiplication(X1,esk3_0))=multiplication(addition(c(esk3_0),X1),esk3_0)),inference(spm,[status(thm)],[27,206,theory(equality)])).
% cnf(210,negated_conjecture,(addition(multiplication(c(esk3_0),X1),zero)=multiplication(c(esk3_0),addition(X1,esk3_0))),inference(spm,[status(thm)],[25,206,theory(equality)])).
% cnf(211,negated_conjecture,(addition(multiplication(X1,esk3_0),zero)=multiplication(addition(X1,c(esk3_0)),esk3_0)),inference(spm,[status(thm)],[27,206,theory(equality)])).
% cnf(212,negated_conjecture,(zero=multiplication(c(esk3_0),multiplication(esk3_0,X1))),inference(rw,[status(thm)],[207,55,theory(equality)])).
% cnf(213,negated_conjecture,(multiplication(c(esk3_0),X1)=multiplication(c(esk3_0),addition(esk3_0,X1))),inference(rw,[status(thm)],[208,73,theory(equality)])).
% cnf(214,negated_conjecture,(multiplication(X1,esk3_0)=multiplication(addition(c(esk3_0),X1),esk3_0)),inference(rw,[status(thm)],[209,73,theory(equality)])).
% cnf(215,negated_conjecture,(multiplication(c(esk3_0),X1)=multiplication(c(esk3_0),addition(X1,esk3_0))),inference(rw,[status(thm)],[210,51,theory(equality)])).
% cnf(216,negated_conjecture,(multiplication(X1,esk3_0)=multiplication(addition(X1,c(esk3_0)),esk3_0)),inference(rw,[status(thm)],[211,51,theory(equality)])).
% cnf(221,negated_conjecture,(addition(multiplication(X1,multiplication(esk3_0,X2)),zero)=multiplication(addition(X1,c(esk3_0)),multiplication(esk3_0,X2))),inference(spm,[status(thm)],[27,212,theory(equality)])).
% cnf(229,negated_conjecture,(multiplication(X1,multiplication(esk3_0,X2))=multiplication(addition(X1,c(esk3_0)),multiplication(esk3_0,X2))),inference(rw,[status(thm)],[221,51,theory(equality)])).
% cnf(233,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)],[25,214,theory(equality)])).
% cnf(251,negated_conjecture,(multiplication(one,esk3_0)=multiplication(esk3_0,esk3_0)),inference(spm,[status(thm)],[216,204,theory(equality)])).
% cnf(260,negated_conjecture,(esk3_0=multiplication(esk3_0,esk3_0)),inference(rw,[status(thm)],[251,59,theory(equality)])).
% cnf(265,negated_conjecture,(multiplication(esk3_0,X1)=multiplication(esk3_0,multiplication(esk3_0,X1))),inference(spm,[status(thm)],[35,260,theory(equality)])).
% cnf(266,negated_conjecture,(addition(esk3_0,multiplication(esk3_0,X1))=multiplication(esk3_0,addition(esk3_0,X1))),inference(spm,[status(thm)],[25,260,theory(equality)])).
% cnf(267,negated_conjecture,(addition(esk3_0,multiplication(X1,esk3_0))=multiplication(addition(esk3_0,X1),esk3_0)),inference(spm,[status(thm)],[27,260,theory(equality)])).
% cnf(273,negated_conjecture,(addition(multiplication(esk3_0,X1),multiplication(esk3_0,X2))=multiplication(esk3_0,addition(multiplication(esk3_0,X1),X2))),inference(spm,[status(thm)],[25,265,theory(equality)])).
% cnf(284,negated_conjecture,(multiplication(esk3_0,addition(X1,X2))=multiplication(esk3_0,addition(multiplication(esk3_0,X1),X2))),inference(rw,[status(thm)],[273,25,theory(equality)])).
% cnf(304,negated_conjecture,(addition(X1,esk2_0)=one|c(esk2_0)!=X1),inference(spm,[status(thm)],[64,81,theory(equality)])).
% cnf(305,negated_conjecture,(multiplication(X1,esk2_0)=zero|c(esk2_0)!=X1),inference(spm,[status(thm)],[66,81,theory(equality)])).
% cnf(307,negated_conjecture,(multiplication(esk2_0,X1)=zero|c(esk2_0)!=X1),inference(spm,[status(thm)],[65,81,theory(equality)])).
% cnf(385,negated_conjecture,(addition(esk3_0,multiplication(X1,esk3_0))=multiplication(addition(esk3_0,addition(c(esk3_0),X1)),esk3_0)),inference(spm,[status(thm)],[267,214,theory(equality)])).
% cnf(396,negated_conjecture,(multiplication(addition(esk3_0,X1),esk3_0)=multiplication(addition(esk3_0,addition(c(esk3_0),X1)),esk3_0)),inference(rw,[status(thm)],[385,267,theory(equality)])).
% cnf(455,negated_conjecture,(addition(multiplication(c(esk3_0),X1),multiplication(X2,addition(esk3_0,X1)))=multiplication(addition(c(esk3_0),X2),addition(esk3_0,X1))),inference(spm,[status(thm)],[27,213,theory(equality)])).
% cnf(524,negated_conjecture,(addition(esk3_0,c(esk3_0))=addition(one,c(esk3_0))),inference(spm,[status(thm)],[205,33,theory(equality)])).
% cnf(525,negated_conjecture,(addition(esk3_0,addition(X1,c(esk3_0)))=addition(one,X1)),inference(spm,[status(thm)],[205,29,theory(equality)])).
% cnf(531,negated_conjecture,(one=addition(one,c(esk3_0))),inference(rw,[status(thm)],[524,204,theory(equality)])).
% cnf(536,negated_conjecture,(addition(esk3_0,one)=addition(one,one)),inference(spm,[status(thm)],[525,531,theory(equality)])).
% cnf(544,negated_conjecture,(addition(esk3_0,one)=one),inference(rw,[status(thm)],[536,33,theory(equality)])).
% cnf(594,negated_conjecture,(multiplication(addition(one,X1),esk3_0)=multiplication(addition(esk3_0,X1),esk3_0)),inference(rw,[status(thm)],[396,205,theory(equality)])).
% cnf(621,negated_conjecture,(multiplication(esk3_0,c(esk3_0))=zero),inference(er,[status(thm)],[197,theory(equality)])).
% cnf(623,negated_conjecture,(addition(zero,multiplication(esk3_0,X1))=multiplication(esk3_0,addition(c(esk3_0),X1))),inference(spm,[status(thm)],[25,621,theory(equality)])).
% cnf(624,negated_conjecture,(addition(zero,multiplication(X1,c(esk3_0)))=multiplication(addition(esk3_0,X1),c(esk3_0))),inference(spm,[status(thm)],[27,621,theory(equality)])).
% cnf(625,negated_conjecture,(addition(multiplication(esk3_0,X1),zero)=multiplication(esk3_0,addition(X1,c(esk3_0)))),inference(spm,[status(thm)],[25,621,theory(equality)])).
% cnf(626,negated_conjecture,(addition(multiplication(X1,c(esk3_0)),zero)=multiplication(addition(X1,esk3_0),c(esk3_0))),inference(spm,[status(thm)],[27,621,theory(equality)])).
% cnf(631,negated_conjecture,(multiplication(esk3_0,X1)=multiplication(esk3_0,addition(c(esk3_0),X1))),inference(rw,[status(thm)],[623,73,theory(equality)])).
% cnf(632,negated_conjecture,(multiplication(X1,c(esk3_0))=multiplication(addition(esk3_0,X1),c(esk3_0))),inference(rw,[status(thm)],[624,73,theory(equality)])).
% cnf(633,negated_conjecture,(multiplication(esk3_0,X1)=multiplication(esk3_0,addition(X1,c(esk3_0)))),inference(rw,[status(thm)],[625,51,theory(equality)])).
% cnf(634,negated_conjecture,(multiplication(X1,c(esk3_0))=multiplication(addition(X1,esk3_0),c(esk3_0))),inference(rw,[status(thm)],[626,51,theory(equality)])).
% cnf(742,negated_conjecture,(addition(esk3_0,multiplication(esk3_0,X1))=multiplication(esk3_0,addition(esk3_0,addition(c(esk3_0),X1)))),inference(spm,[status(thm)],[266,631,theory(equality)])).
% cnf(752,negated_conjecture,(multiplication(esk3_0,addition(esk3_0,X1))=multiplication(esk3_0,addition(esk3_0,addition(c(esk3_0),X1)))),inference(rw,[status(thm)],[742,266,theory(equality)])).
% cnf(753,negated_conjecture,(multiplication(esk3_0,addition(esk3_0,X1))=multiplication(esk3_0,addition(one,X1))),inference(rw,[status(thm)],[752,205,theory(equality)])).
% cnf(1166,negated_conjecture,(addition(c(esk2_0),esk2_0)=one),inference(er,[status(thm)],[304,theory(equality)])).
% cnf(1167,negated_conjecture,(addition(esk2_0,c(esk2_0))=one),inference(rw,[status(thm)],[1166,29,theory(equality)])).
% cnf(1168,negated_conjecture,(addition(one,X1)=addition(esk2_0,addition(c(esk2_0),X1))),inference(spm,[status(thm)],[31,1167,theory(equality)])).
% cnf(1349,negated_conjecture,(addition(esk2_0,c(esk2_0))=addition(one,c(esk2_0))),inference(spm,[status(thm)],[1168,33,theory(equality)])).
% cnf(1350,negated_conjecture,(addition(esk2_0,addition(X1,c(esk2_0)))=addition(one,X1)),inference(spm,[status(thm)],[1168,29,theory(equality)])).
% cnf(1356,negated_conjecture,(one=addition(one,c(esk2_0))),inference(rw,[status(thm)],[1349,1167,theory(equality)])).
% cnf(1358,negated_conjecture,(multiplication(one,esk3_0)=multiplication(addition(esk3_0,c(esk2_0)),esk3_0)),inference(spm,[status(thm)],[594,1356,theory(equality)])).
% cnf(1359,negated_conjecture,(esk3_0=multiplication(addition(esk3_0,c(esk2_0)),esk3_0)),inference(rw,[status(thm)],[1358,59,theory(equality)])).
% cnf(1360,negated_conjecture,(multiplication(esk3_0,X1)=multiplication(addition(esk3_0,c(esk2_0)),multiplication(esk3_0,X1))),inference(spm,[status(thm)],[35,1359,theory(equality)])).
% cnf(1364,negated_conjecture,(addition(multiplication(X1,esk3_0),esk3_0)=multiplication(addition(X1,addition(esk3_0,c(esk2_0))),esk3_0)),inference(spm,[status(thm)],[27,1359,theory(equality)])).
% cnf(1368,negated_conjecture,(multiplication(addition(esk3_0,X1),esk3_0)=multiplication(addition(X1,addition(esk3_0,c(esk2_0))),esk3_0)),inference(rw,[status(thm)],[inference(rw,[status(thm)],[1364,29,theory(equality)]),267,theory(equality)])).
% cnf(1403,negated_conjecture,(addition(c(esk2_0),addition(one,esk2_0))=addition(c(esk2_0),esk2_0)),inference(spm,[status(thm)],[90,1168,theory(equality)])).
% cnf(1440,negated_conjecture,(addition(c(esk2_0),addition(one,esk2_0))=one),inference(rw,[status(thm)],[inference(rw,[status(thm)],[1403,29,theory(equality)]),1167,theory(equality)])).
% cnf(1514,negated_conjecture,(addition(esk2_0,one)=one),inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1440,29,theory(equality)]),29,theory(equality)]),31,theory(equality)]),1356,theory(equality)])).
% cnf(1515,negated_conjecture,(addition(one,X1)=addition(esk2_0,addition(one,X1))),inference(spm,[status(thm)],[31,1514,theory(equality)])).
% cnf(1551,negated_conjecture,(multiplication(c(esk2_0),esk2_0)=zero),inference(er,[status(thm)],[305,theory(equality)])).
% cnf(1680,negated_conjecture,(multiplication(zero,X1)=multiplication(c(esk2_0),multiplication(esk2_0,X1))),inference(spm,[status(thm)],[35,1551,theory(equality)])).
% cnf(1681,negated_conjecture,(addition(zero,multiplication(c(esk2_0),X1))=multiplication(c(esk2_0),addition(esk2_0,X1))),inference(spm,[status(thm)],[25,1551,theory(equality)])).
% cnf(1682,negated_conjecture,(addition(zero,multiplication(X1,esk2_0))=multiplication(addition(c(esk2_0),X1),esk2_0)),inference(spm,[status(thm)],[27,1551,theory(equality)])).
% cnf(1684,negated_conjecture,(addition(multiplication(X1,esk2_0),zero)=multiplication(addition(X1,c(esk2_0)),esk2_0)),inference(spm,[status(thm)],[27,1551,theory(equality)])).
% cnf(1685,negated_conjecture,(zero=multiplication(c(esk2_0),multiplication(esk2_0,X1))),inference(rw,[status(thm)],[1680,55,theory(equality)])).
% cnf(1686,negated_conjecture,(multiplication(c(esk2_0),X1)=multiplication(c(esk2_0),addition(esk2_0,X1))),inference(rw,[status(thm)],[1681,73,theory(equality)])).
% cnf(1687,negated_conjecture,(multiplication(X1,esk2_0)=multiplication(addition(c(esk2_0),X1),esk2_0)),inference(rw,[status(thm)],[1682,73,theory(equality)])).
% cnf(1689,negated_conjecture,(multiplication(X1,esk2_0)=multiplication(addition(X1,c(esk2_0)),esk2_0)),inference(rw,[status(thm)],[1684,51,theory(equality)])).
% cnf(1739,negated_conjecture,(multiplication(one,esk2_0)=multiplication(esk2_0,esk2_0)),inference(spm,[status(thm)],[1689,1167,theory(equality)])).
% cnf(1748,negated_conjecture,(esk2_0=multiplication(esk2_0,esk2_0)),inference(rw,[status(thm)],[1739,59,theory(equality)])).
% cnf(1754,negated_conjecture,(addition(esk2_0,multiplication(esk2_0,X1))=multiplication(esk2_0,addition(esk2_0,X1))),inference(spm,[status(thm)],[25,1748,theory(equality)])).
% cnf(1755,negated_conjecture,(addition(esk2_0,multiplication(X1,esk2_0))=multiplication(addition(esk2_0,X1),esk2_0)),inference(spm,[status(thm)],[27,1748,theory(equality)])).
% cnf(1835,negated_conjecture,(addition(esk2_0,multiplication(X1,esk2_0))=multiplication(addition(esk2_0,addition(c(esk2_0),X1)),esk2_0)),inference(spm,[status(thm)],[1755,1687,theory(equality)])).
% cnf(1852,negated_conjecture,(multiplication(addition(esk2_0,X1),esk2_0)=multiplication(addition(esk2_0,addition(c(esk2_0),X1)),esk2_0)),inference(rw,[status(thm)],[1835,1755,theory(equality)])).
% cnf(1853,negated_conjecture,(multiplication(addition(esk2_0,X1),esk2_0)=multiplication(addition(one,X1),esk2_0)),inference(rw,[status(thm)],[1852,1168,theory(equality)])).
% cnf(2131,negated_conjecture,(multiplication(esk2_0,c(esk2_0))=zero),inference(er,[status(thm)],[307,theory(equality)])).
% cnf(2251,negated_conjecture,(multiplication(zero,X1)=multiplication(esk2_0,multiplication(c(esk2_0),X1))),inference(spm,[status(thm)],[35,2131,theory(equality)])).
% cnf(2252,negated_conjecture,(addition(zero,multiplication(esk2_0,X1))=multiplication(esk2_0,addition(c(esk2_0),X1))),inference(spm,[status(thm)],[25,2131,theory(equality)])).
% cnf(2253,negated_conjecture,(addition(zero,multiplication(X1,c(esk2_0)))=multiplication(addition(esk2_0,X1),c(esk2_0))),inference(spm,[status(thm)],[27,2131,theory(equality)])).
% cnf(2259,negated_conjecture,(zero=multiplication(esk2_0,multiplication(c(esk2_0),X1))),inference(rw,[status(thm)],[2251,55,theory(equality)])).
% cnf(2260,negated_conjecture,(multiplication(esk2_0,X1)=multiplication(esk2_0,addition(c(esk2_0),X1))),inference(rw,[status(thm)],[2252,73,theory(equality)])).
% cnf(2261,negated_conjecture,(multiplication(X1,c(esk2_0))=multiplication(addition(esk2_0,X1),c(esk2_0))),inference(rw,[status(thm)],[2253,73,theory(equality)])).
% cnf(2274,negated_conjecture,(addition(esk2_0,zero)=multiplication(esk2_0,addition(esk2_0,multiplication(c(esk2_0),X1)))),inference(spm,[status(thm)],[1754,2259,theory(equality)])).
% cnf(2293,negated_conjecture,(esk2_0=multiplication(esk2_0,addition(esk2_0,multiplication(c(esk2_0),X1)))),inference(rw,[status(thm)],[2274,51,theory(equality)])).
% cnf(2311,negated_conjecture,(addition(esk2_0,multiplication(esk2_0,X1))=multiplication(esk2_0,addition(esk2_0,addition(c(esk2_0),X1)))),inference(spm,[status(thm)],[1754,2260,theory(equality)])).
% cnf(2325,negated_conjecture,(multiplication(esk2_0,addition(esk2_0,X1))=multiplication(esk2_0,addition(esk2_0,addition(c(esk2_0),X1)))),inference(rw,[status(thm)],[2311,1754,theory(equality)])).
% cnf(2326,negated_conjecture,(multiplication(esk2_0,addition(esk2_0,X1))=multiplication(esk2_0,addition(one,X1))),inference(rw,[status(thm)],[2325,1168,theory(equality)])).
% cnf(2732,negated_conjecture,(multiplication(addition(one,esk3_0),esk3_0)=multiplication(addition(esk3_0,esk2_0),esk3_0)),inference(spm,[status(thm)],[1368,1350,theory(equality)])).
% cnf(2752,negated_conjecture,(esk3_0=multiplication(addition(esk3_0,esk2_0),esk3_0)),inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[2732,29,theory(equality)]),544,theory(equality)]),59,theory(equality)])).
% cnf(2762,negated_conjecture,(multiplication(addition(esk2_0,esk3_0),esk3_0)=esk3_0),inference(rw,[status(thm)],[2752,29,theory(equality)])).
% cnf(2764,negated_conjecture,(addition(esk3_0,multiplication(addition(esk2_0,esk3_0),X1))=multiplication(addition(esk2_0,esk3_0),addition(esk3_0,X1))),inference(spm,[status(thm)],[25,2762,theory(equality)])).
% cnf(3003,negated_conjecture,(multiplication(esk3_0,one)=multiplication(esk3_0,addition(esk3_0,c(esk2_0)))),inference(spm,[status(thm)],[753,1356,theory(equality)])).
% cnf(3024,negated_conjecture,(esk3_0=multiplication(esk3_0,addition(esk3_0,c(esk2_0)))),inference(rw,[status(thm)],[3003,57,theory(equality)])).
% cnf(3028,negated_conjecture,(addition(multiplication(esk3_0,X1),esk3_0)=multiplication(esk3_0,addition(X1,addition(esk3_0,c(esk2_0))))),inference(spm,[status(thm)],[25,3024,theory(equality)])).
% cnf(3037,negated_conjecture,(multiplication(esk3_0,addition(esk3_0,X1))=multiplication(esk3_0,addition(X1,addition(esk3_0,c(esk2_0))))),inference(rw,[status(thm)],[inference(rw,[status(thm)],[3028,29,theory(equality)]),266,theory(equality)])).
% cnf(3646,negated_conjecture,(multiplication(one,esk2_0)=multiplication(addition(esk2_0,c(esk3_0)),esk2_0)),inference(spm,[status(thm)],[1853,531,theory(equality)])).
% cnf(3662,negated_conjecture,(esk2_0=multiplication(addition(esk2_0,c(esk3_0)),esk2_0)),inference(rw,[status(thm)],[3646,59,theory(equality)])).
% cnf(3671,negated_conjecture,(addition(multiplication(X1,esk2_0),esk2_0)=multiplication(addition(X1,addition(esk2_0,c(esk3_0))),esk2_0)),inference(spm,[status(thm)],[27,3662,theory(equality)])).
% cnf(3675,negated_conjecture,(multiplication(addition(esk2_0,X1),esk2_0)=multiplication(addition(X1,addition(esk2_0,c(esk3_0))),esk2_0)),inference(rw,[status(thm)],[inference(rw,[status(thm)],[3671,29,theory(equality)]),1755,theory(equality)])).
% cnf(3853,negated_conjecture,(multiplication(esk2_0,one)=multiplication(esk2_0,addition(esk2_0,c(esk3_0)))),inference(spm,[status(thm)],[2326,531,theory(equality)])).
% cnf(3875,negated_conjecture,(esk2_0=multiplication(esk2_0,addition(esk2_0,c(esk3_0)))),inference(rw,[status(thm)],[3853,57,theory(equality)])).
% cnf(3879,negated_conjecture,(addition(esk2_0,multiplication(esk2_0,X1))=multiplication(esk2_0,addition(addition(esk2_0,c(esk3_0)),X1))),inference(spm,[status(thm)],[25,3875,theory(equality)])).
% cnf(3882,negated_conjecture,(addition(multiplication(esk2_0,X1),esk2_0)=multiplication(esk2_0,addition(X1,addition(esk2_0,c(esk3_0))))),inference(spm,[status(thm)],[25,3875,theory(equality)])).
% cnf(3889,negated_conjecture,(multiplication(esk2_0,addition(esk2_0,X1))=multiplication(esk2_0,addition(addition(esk2_0,c(esk3_0)),X1))),inference(rw,[status(thm)],[3879,1754,theory(equality)])).
% cnf(3890,negated_conjecture,(multiplication(esk2_0,addition(esk2_0,X1))=multiplication(esk2_0,addition(esk2_0,addition(c(esk3_0),X1)))),inference(rw,[status(thm)],[3889,31,theory(equality)])).
% cnf(3892,negated_conjecture,(multiplication(esk2_0,addition(esk2_0,X1))=multiplication(esk2_0,addition(X1,addition(esk2_0,c(esk3_0))))),inference(rw,[status(thm)],[inference(rw,[status(thm)],[3882,29,theory(equality)]),1754,theory(equality)])).
% cnf(3898,plain,(addition(X1,multiplication(X1,X2))=multiplication(X1,addition(X2,one))),inference(rw,[status(thm)],[127,29,theory(equality)])).
% cnf(4882,negated_conjecture,(multiplication(esk3_0,addition(one,esk3_0))=multiplication(esk3_0,addition(esk3_0,esk2_0))),inference(spm,[status(thm)],[3037,1350,theory(equality)])).
% cnf(4912,negated_conjecture,(esk3_0=multiplication(esk3_0,addition(esk3_0,esk2_0))),inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[4882,29,theory(equality)]),544,theory(equality)]),57,theory(equality)])).
% cnf(4913,negated_conjecture,(esk3_0=multiplication(esk3_0,addition(esk2_0,esk3_0))),inference(rw,[status(thm)],[4912,29,theory(equality)])).
% cnf(4924,negated_conjecture,(multiplication(esk3_0,X1)=multiplication(esk3_0,multiplication(addition(esk2_0,esk3_0),X1))),inference(spm,[status(thm)],[35,4913,theory(equality)])).
% cnf(4960,negated_conjecture,(multiplication(esk3_0,multiplication(esk2_0,c(esk3_0)))=multiplication(esk3_0,c(esk3_0))),inference(spm,[status(thm)],[4924,634,theory(equality)])).
% cnf(4976,negated_conjecture,(multiplication(esk3_0,multiplication(esk2_0,c(esk3_0)))=zero),inference(rw,[status(thm)],[4960,621,theory(equality)])).
% cnf(4979,negated_conjecture,(addition(zero,multiplication(esk3_0,X1))=multiplication(esk3_0,addition(multiplication(esk2_0,c(esk3_0)),X1))),inference(spm,[status(thm)],[25,4976,theory(equality)])).
% cnf(4983,negated_conjecture,(addition(multiplication(esk3_0,X1),zero)=multiplication(esk3_0,addition(X1,multiplication(esk2_0,c(esk3_0))))),inference(spm,[status(thm)],[25,4976,theory(equality)])).
% cnf(4992,negated_conjecture,(multiplication(esk3_0,X1)=multiplication(esk3_0,addition(multiplication(esk2_0,c(esk3_0)),X1))),inference(rw,[status(thm)],[4979,73,theory(equality)])).
% cnf(4996,negated_conjecture,(multiplication(esk3_0,X1)=multiplication(esk3_0,addition(X1,multiplication(esk2_0,c(esk3_0))))),inference(rw,[status(thm)],[4983,51,theory(equality)])).
% cnf(5608,negated_conjecture,(multiplication(esk3_0,multiplication(esk2_0,addition(X1,c(esk3_0))))=multiplication(esk3_0,multiplication(esk2_0,X1))),inference(spm,[status(thm)],[4996,25,theory(equality)])).
% cnf(5717,negated_conjecture,(multiplication(addition(one,esk2_0),esk2_0)=multiplication(addition(esk2_0,esk3_0),esk2_0)),inference(spm,[status(thm)],[3675,525,theory(equality)])).
% cnf(5742,negated_conjecture,(esk2_0=multiplication(addition(esk2_0,esk3_0),esk2_0)),inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[5717,29,theory(equality)]),1514,theory(equality)]),59,theory(equality)])).
% cnf(5753,negated_conjecture,(addition(esk2_0,multiplication(addition(esk2_0,esk3_0),X1))=multiplication(addition(esk2_0,esk3_0),addition(esk2_0,X1))),inference(spm,[status(thm)],[25,5742,theory(equality)])).
% cnf(6174,plain,(addition(X2,multiplication(X1,X2))=multiplication(addition(X1,one),X2)),inference(rw,[status(thm)],[156,29,theory(equality)])).
% cnf(6631,negated_conjecture,(multiplication(esk2_0,addition(one,esk2_0))=multiplication(esk2_0,addition(esk2_0,esk3_0))),inference(spm,[status(thm)],[3892,525,theory(equality)])).
% cnf(6663,negated_conjecture,(esk2_0=multiplication(esk2_0,addition(esk2_0,esk3_0))),inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[6631,29,theory(equality)]),1514,theory(equality)]),57,theory(equality)])).
% cnf(6674,negated_conjecture,(multiplication(esk2_0,X1)=multiplication(esk2_0,multiplication(addition(esk2_0,esk3_0),X1))),inference(spm,[status(thm)],[35,6663,theory(equality)])).
% cnf(6676,negated_conjecture,(addition(esk2_0,multiplication(X1,addition(esk2_0,esk3_0)))=multiplication(addition(esk2_0,X1),addition(esk2_0,esk3_0))),inference(spm,[status(thm)],[27,6663,theory(equality)])).
% cnf(6718,negated_conjecture,(multiplication(esk2_0,multiplication(esk3_0,c(esk2_0)))=multiplication(esk2_0,c(esk2_0))),inference(spm,[status(thm)],[6674,2261,theory(equality)])).
% cnf(6736,negated_conjecture,(multiplication(esk2_0,multiplication(esk3_0,c(esk2_0)))=zero),inference(rw,[status(thm)],[6718,2131,theory(equality)])).
% cnf(6739,negated_conjecture,(addition(zero,multiplication(esk2_0,X1))=multiplication(esk2_0,addition(multiplication(esk3_0,c(esk2_0)),X1))),inference(spm,[status(thm)],[25,6736,theory(equality)])).
% cnf(6756,negated_conjecture,(multiplication(esk2_0,X1)=multiplication(esk2_0,addition(multiplication(esk3_0,c(esk2_0)),X1))),inference(rw,[status(thm)],[6739,73,theory(equality)])).
% cnf(6916,negated_conjecture,(multiplication(esk2_0,multiplication(esk3_0,addition(c(esk2_0),X1)))=multiplication(esk2_0,multiplication(esk3_0,X1))),inference(spm,[status(thm)],[6756,25,theory(equality)])).
% cnf(7930,negated_conjecture,(multiplication(esk3_0,multiplication(esk2_0,one))=multiplication(esk3_0,multiplication(esk2_0,esk3_0))),inference(spm,[status(thm)],[5608,204,theory(equality)])).
% cnf(7952,negated_conjecture,(multiplication(esk3_0,esk2_0)=multiplication(esk3_0,multiplication(esk2_0,esk3_0))),inference(rw,[status(thm)],[7930,57,theory(equality)])).
% cnf(7966,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)],[6174,7952,theory(equality)])).
% cnf(7974,negated_conjecture,(addition(multiplication(esk3_0,X1),multiplication(esk3_0,esk2_0))=multiplication(esk3_0,addition(X1,multiplication(esk2_0,esk3_0)))),inference(spm,[status(thm)],[25,7952,theory(equality)])).
% cnf(7984,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)],[7966,544,theory(equality)]),59,theory(equality)])).
% cnf(7990,negated_conjecture,(multiplication(esk3_0,addition(X1,esk2_0))=multiplication(esk3_0,addition(X1,multiplication(esk2_0,esk3_0)))),inference(rw,[status(thm)],[7974,25,theory(equality)])).
% cnf(9657,plain,(c(X1)=X2|addition(X1,X2)!=one|multiplication(X2,X1)!=zero|multiplication(X1,X2)!=zero|~test(X1)),inference(spm,[status(thm)],[184,29,theory(equality)])).
% cnf(10485,negated_conjecture,(multiplication(esk2_0,multiplication(esk3_0,addition(c(esk2_0),esk2_0)))=multiplication(esk2_0,multiplication(esk3_0,multiplication(esk2_0,esk3_0)))),inference(spm,[status(thm)],[6916,7990,theory(equality)])).
% cnf(10512,negated_conjecture,(multiplication(esk2_0,esk3_0)=multiplication(esk2_0,multiplication(esk3_0,multiplication(esk2_0,esk3_0)))),inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[10485,29,theory(equality)]),1167,theory(equality)]),57,theory(equality)])).
% cnf(10513,negated_conjecture,(multiplication(esk2_0,esk3_0)=multiplication(esk2_0,multiplication(esk3_0,esk2_0))),inference(rw,[status(thm)],[10512,7952,theory(equality)])).
% cnf(10514,negated_conjecture,(addition(multiplication(esk3_0,esk2_0),multiplication(esk2_0,esk3_0))=multiplication(addition(esk2_0,one),multiplication(esk3_0,esk2_0))),inference(spm,[status(thm)],[6174,10513,theory(equality)])).
% cnf(10539,negated_conjecture,(multiplication(esk2_0,esk3_0)=multiplication(addition(esk2_0,one),multiplication(esk3_0,esk2_0))),inference(rw,[status(thm)],[inference(rw,[status(thm)],[10514,29,theory(equality)]),7984,theory(equality)])).
% cnf(10540,negated_conjecture,(multiplication(esk2_0,esk3_0)=multiplication(esk3_0,esk2_0)),inference(rw,[status(thm)],[inference(rw,[status(thm)],[10539,1514,theory(equality)]),59,theory(equality)])).
% cnf(10556,negated_conjecture,(addition(multiplication(esk2_0,esk3_0),multiplication(esk3_0,X1))=multiplication(esk3_0,addition(esk2_0,X1))),inference(spm,[status(thm)],[25,10540,theory(equality)])).
% cnf(10572,negated_conjecture,(multiplication(addition(esk3_0,c(esk2_0)),multiplication(esk2_0,esk3_0))=multiplication(esk2_0,esk3_0)),inference(spm,[status(thm)],[1360,10540,theory(equality)])).
% cnf(10668,negated_conjecture,(addition(multiplication(esk2_0,esk3_0),multiplication(X1,esk3_0))=multiplication(addition(multiplication(addition(esk3_0,c(esk2_0)),esk2_0),X1),esk3_0)),inference(spm,[status(thm)],[163,10572,theory(equality)])).
% cnf(10683,negated_conjecture,(multiplication(addition(esk2_0,X1),esk3_0)=multiplication(addition(multiplication(addition(esk3_0,c(esk2_0)),esk2_0),X1),esk3_0)),inference(rw,[status(thm)],[10668,27,theory(equality)])).
% cnf(10684,negated_conjecture,(multiplication(addition(esk2_0,X1),esk3_0)=multiplication(addition(multiplication(esk2_0,esk3_0),X1),esk3_0)),inference(rw,[status(thm)],[inference(rw,[status(thm)],[10683,1689,theory(equality)]),10540,theory(equality)])).
% cnf(11523,negated_conjecture,(addition(X1,multiplication(esk3_0,addition(esk2_0,X2)))=addition(multiplication(esk2_0,esk3_0),addition(X1,multiplication(esk3_0,X2)))),inference(spm,[status(thm)],[101,10556,theory(equality)])).
% cnf(11569,negated_conjecture,(addition(multiplication(esk2_0,esk3_0),multiplication(esk3_0,addition(esk3_0,X1)))=multiplication(esk3_0,addition(esk2_0,addition(one,X1)))),inference(spm,[status(thm)],[10556,753,theory(equality)])).
% cnf(11632,negated_conjecture,(multiplication(esk3_0,addition(esk2_0,addition(esk3_0,X1)))=multiplication(esk3_0,addition(esk2_0,addition(one,X1)))),inference(rw,[status(thm)],[11569,10556,theory(equality)])).
% cnf(11633,negated_conjecture,(multiplication(esk3_0,addition(esk2_0,addition(esk3_0,X1)))=multiplication(esk3_0,addition(esk3_0,X1))),inference(rw,[status(thm)],[inference(rw,[status(thm)],[11632,1515,theory(equality)]),753,theory(equality)])).
% cnf(11665,negated_conjecture,(multiplication(addition(X1,c(esk3_0)),multiplication(esk2_0,esk3_0))=multiplication(X1,multiplication(esk2_0,esk3_0))),inference(spm,[status(thm)],[229,10540,theory(equality)])).
% cnf(12305,negated_conjecture,(addition(multiplication(c(esk2_0),esk3_0),multiplication(c(esk3_0),esk2_0))=multiplication(addition(c(esk3_0),c(esk2_0)),addition(esk3_0,esk2_0))),inference(spm,[status(thm)],[233,1689,theory(equality)])).
% cnf(12377,negated_conjecture,(addition(multiplication(c(esk2_0),esk3_0),multiplication(c(esk3_0),esk2_0))=multiplication(addition(c(esk3_0),c(esk2_0)),addition(esk2_0,esk3_0))),inference(rw,[status(thm)],[12305,29,theory(equality)])).
% cnf(12433,negated_conjecture,(multiplication(addition(c(esk2_0),c(esk3_0)),addition(esk2_0,esk3_0))=addition(multiplication(c(esk2_0),esk3_0),multiplication(c(esk3_0),esk2_0))),inference(rw,[status(thm)],[12377,29,theory(equality)])).
% cnf(12440,negated_conjecture,(addition(addition(c(esk2_0),c(esk3_0)),addition(multiplication(c(esk2_0),esk3_0),multiplication(c(esk3_0),esk2_0)))=multiplication(addition(c(esk2_0),c(esk3_0)),addition(addition(esk2_0,esk3_0),one))),inference(spm,[status(thm)],[3898,12433,theory(equality)])).
% cnf(12459,negated_conjecture,(addition(c(esk2_0),addition(c(esk3_0),addition(multiplication(c(esk2_0),esk3_0),multiplication(c(esk3_0),esk2_0))))=multiplication(addition(c(esk2_0),c(esk3_0)),addition(addition(esk2_0,esk3_0),one))),inference(rw,[status(thm)],[12440,31,theory(equality)])).
% cnf(12460,negated_conjecture,(addition(c(esk2_0),addition(c(esk3_0),addition(multiplication(c(esk2_0),esk3_0),multiplication(c(esk3_0),esk2_0))))=addition(c(esk2_0),c(esk3_0))),inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[12459,31,theory(equality)]),544,theory(equality)]),1514,theory(equality)]),57,theory(equality)])).
% cnf(12618,negated_conjecture,(multiplication(multiplication(addition(esk2_0,X1),esk3_0),esk3_0)=multiplication(addition(esk2_0,multiplication(X1,esk3_0)),esk3_0)),inference(spm,[status(thm)],[10684,27,theory(equality)])).
% cnf(12659,negated_conjecture,(multiplication(addition(esk2_0,X1),esk3_0)=multiplication(addition(esk2_0,multiplication(X1,esk3_0)),esk3_0)),inference(rw,[status(thm)],[inference(rw,[status(thm)],[12618,35,theory(equality)]),260,theory(equality)])).
% cnf(13411,negated_conjecture,(addition(c(esk2_0),addition(addition(c(esk3_0),addition(multiplication(c(esk2_0),esk3_0),multiplication(c(esk3_0),esk2_0))),addition(c(esk2_0),c(esk3_0))))=addition(c(esk2_0),c(esk3_0))),inference(spm,[status(thm)],[90,12460,theory(equality)])).
% cnf(13428,negated_conjecture,(addition(c(esk2_0),addition(c(esk3_0),addition(multiplication(c(esk2_0),esk3_0),addition(multiplication(c(esk3_0),esk2_0),addition(c(esk2_0),c(esk3_0))))))=addition(c(esk2_0),c(esk3_0))),inference(rw,[status(thm)],[inference(rw,[status(thm)],[13411,31,theory(equality)]),31,theory(equality)])).
% cnf(13539,negated_conjecture,(multiplication(esk3_0,addition(X1,addition(esk2_0,esk3_0)))=multiplication(esk3_0,addition(esk3_0,X1))),inference(spm,[status(thm)],[11633,91,theory(equality)])).
% cnf(17185,negated_conjecture,(addition(c(esk2_0),addition(c(esk3_0),multiplication(c(esk2_0),esk3_0)))=addition(c(esk2_0),c(esk3_0))),inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[13428,101,theory(equality)]),29,theory(equality)]),3898,theory(equality)]),1514,theory(equality)]),57,theory(equality)]),101,theory(equality)]),29,theory(equality)]),101,theory(equality)]),95,theory(equality)]),95,theory(equality)])).
% cnf(17197,negated_conjecture,(multiplication(esk2_0,addition(c(esk2_0),c(esk3_0)))=multiplication(esk2_0,addition(c(esk3_0),multiplication(c(esk2_0),esk3_0)))),inference(spm,[status(thm)],[2260,17185,theory(equality)])).
% cnf(17199,negated_conjecture,(multiplication(addition(c(esk2_0),c(esk3_0)),esk2_0)=multiplication(addition(c(esk3_0),multiplication(c(esk2_0),esk3_0)),esk2_0)),inference(spm,[status(thm)],[1687,17185,theory(equality)])).
% cnf(17211,negated_conjecture,(multiplication(esk2_0,c(esk3_0))=multiplication(esk2_0,addition(c(esk3_0),multiplication(c(esk2_0),esk3_0)))),inference(rw,[status(thm)],[17197,2260,theory(equality)])).
% cnf(17214,negated_conjecture,(multiplication(c(esk3_0),esk2_0)=multiplication(addition(c(esk3_0),multiplication(c(esk2_0),esk3_0)),esk2_0)),inference(rw,[status(thm)],[17199,1687,theory(equality)])).
% cnf(17219,negated_conjecture,(addition(addition(c(esk3_0),multiplication(c(esk2_0),esk3_0)),multiplication(esk2_0,c(esk3_0)))=multiplication(addition(esk2_0,one),addition(c(esk3_0),multiplication(c(esk2_0),esk3_0)))),inference(spm,[status(thm)],[6174,17211,theory(equality)])).
% cnf(17239,negated_conjecture,(addition(c(esk3_0),addition(multiplication(c(esk2_0),esk3_0),multiplication(esk2_0,c(esk3_0))))=multiplication(addition(esk2_0,one),addition(c(esk3_0),multiplication(c(esk2_0),esk3_0)))),inference(rw,[status(thm)],[17219,31,theory(equality)])).
% cnf(17240,negated_conjecture,(addition(c(esk3_0),addition(multiplication(c(esk2_0),esk3_0),multiplication(esk2_0,c(esk3_0))))=addition(c(esk3_0),multiplication(c(esk2_0),esk3_0))),inference(rw,[status(thm)],[inference(rw,[status(thm)],[17239,1514,theory(equality)]),59,theory(equality)])).
% cnf(17273,negated_conjecture,(addition(multiplication(multiplication(c(esk2_0),esk3_0),esk3_0),multiplication(c(esk3_0),esk2_0))=multiplication(addition(c(esk3_0),multiplication(c(esk2_0),esk3_0)),addition(esk3_0,esk2_0))),inference(spm,[status(thm)],[233,17214,theory(equality)])).
% cnf(17294,negated_conjecture,(addition(multiplication(c(esk2_0),esk3_0),multiplication(c(esk3_0),esk2_0))=multiplication(addition(c(esk3_0),multiplication(c(esk2_0),esk3_0)),addition(esk3_0,esk2_0))),inference(rw,[status(thm)],[inference(rw,[status(thm)],[17273,35,theory(equality)]),260,theory(equality)])).
% cnf(17295,negated_conjecture,(addition(multiplication(c(esk2_0),esk3_0),multiplication(c(esk3_0),esk2_0))=multiplication(addition(c(esk3_0),multiplication(c(esk2_0),esk3_0)),addition(esk2_0,esk3_0))),inference(rw,[status(thm)],[17294,29,theory(equality)])).
% cnf(17351,negated_conjecture,(addition(c(esk3_0),addition(multiplication(esk2_0,c(esk3_0)),multiplication(c(esk2_0),esk3_0)))=addition(c(esk3_0),multiplication(c(esk2_0),esk3_0))),inference(rw,[status(thm)],[17240,29,theory(equality)])).
% cnf(17362,negated_conjecture,(multiplication(addition(c(esk3_0),multiplication(c(esk2_0),esk3_0)),esk3_0)=multiplication(addition(multiplication(esk2_0,c(esk3_0)),multiplication(c(esk2_0),esk3_0)),esk3_0)),inference(spm,[status(thm)],[214,17351,theory(equality)])).
% cnf(17367,negated_conjecture,(multiplication(esk2_0,addition(esk2_0,addition(c(esk3_0),multiplication(c(esk2_0),esk3_0))))=multiplication(esk2_0,addition(esk2_0,addition(multiplication(esk2_0,c(esk3_0)),multiplication(c(esk2_0),esk3_0))))),inference(spm,[status(thm)],[3890,17351,theory(equality)])).
% cnf(17376,negated_conjecture,(multiplication(c(esk2_0),esk3_0)=multiplication(addition(multiplication(esk2_0,c(esk3_0)),multiplication(c(esk2_0),esk3_0)),esk3_0)),inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[17362,214,theory(equality)]),35,theory(equality)]),260,theory(equality)])).
% cnf(17381,negated_conjecture,(esk2_0=multiplication(esk2_0,addition(esk2_0,addition(multiplication(esk2_0,c(esk3_0)),multiplication(c(esk2_0),esk3_0))))),inference(rw,[status(thm)],[inference(rw,[status(thm)],[17367,3890,theory(equality)]),2293,theory(equality)])).
% cnf(17400,negated_conjecture,(multiplication(addition(esk2_0,multiplication(c(esk2_0),esk3_0)),esk3_0)=multiplication(addition(esk2_0,addition(multiplication(esk2_0,c(esk3_0)),multiplication(c(esk2_0),esk3_0))),esk3_0)),inference(spm,[status(thm)],[12659,17376,theory(equality)])).
% cnf(17421,negated_conjecture,(esk3_0=multiplication(addition(esk2_0,addition(multiplication(esk2_0,c(esk3_0)),multiplication(c(esk2_0),esk3_0))),esk3_0)),inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[17400,12659,theory(equality)]),1167,theory(equality)]),59,theory(equality)])).
% cnf(17492,negated_conjecture,(addition(addition(esk2_0,addition(multiplication(esk2_0,c(esk3_0)),multiplication(c(esk2_0),esk3_0))),esk3_0)=multiplication(addition(esk2_0,addition(multiplication(esk2_0,c(esk3_0)),multiplication(c(esk2_0),esk3_0))),addition(esk3_0,one))),inference(spm,[status(thm)],[3898,17421,theory(equality)])).
% cnf(17509,negated_conjecture,(addition(esk2_0,addition(multiplication(esk2_0,c(esk3_0)),esk3_0))=multiplication(addition(esk2_0,addition(multiplication(esk2_0,c(esk3_0)),multiplication(c(esk2_0),esk3_0))),addition(esk3_0,one))),inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[17492,31,theory(equality)]),31,theory(equality)]),29,theory(equality)]),6174,theory(equality)]),29,theory(equality)]),1356,theory(equality)]),59,theory(equality)])).
% cnf(17510,negated_conjecture,(addition(esk2_0,addition(multiplication(esk2_0,c(esk3_0)),esk3_0))=addition(esk2_0,addition(multiplication(esk2_0,c(esk3_0)),multiplication(c(esk2_0),esk3_0)))),inference(rw,[status(thm)],[inference(rw,[status(thm)],[17509,544,theory(equality)]),57,theory(equality)])).
% cnf(17520,negated_conjecture,(addition(esk2_0,addition(multiplication(esk2_0,c(esk3_0)),multiplication(c(esk2_0),esk3_0)))=addition(esk2_0,addition(esk3_0,multiplication(esk2_0,c(esk3_0))))),inference(rw,[status(thm)],[17510,29,theory(equality)])).
% cnf(17533,negated_conjecture,(multiplication(esk2_0,addition(esk2_0,addition(esk3_0,multiplication(esk2_0,c(esk3_0)))))=esk2_0),inference(rw,[status(thm)],[17381,17520,theory(equality)])).
% cnf(17577,negated_conjecture,(addition(addition(esk2_0,addition(esk3_0,multiplication(esk2_0,c(esk3_0)))),esk2_0)=multiplication(addition(esk2_0,one),addition(esk2_0,addition(esk3_0,multiplication(esk2_0,c(esk3_0)))))),inference(spm,[status(thm)],[6174,17533,theory(equality)])).
% cnf(17597,negated_conjecture,(addition(esk2_0,addition(esk3_0,addition(multiplication(esk2_0,c(esk3_0)),esk2_0)))=multiplication(addition(esk2_0,one),addition(esk2_0,addition(esk3_0,multiplication(esk2_0,c(esk3_0)))))),inference(rw,[status(thm)],[inference(rw,[status(thm)],[17577,31,theory(equality)]),31,theory(equality)])).
% cnf(17598,negated_conjecture,(addition(esk2_0,addition(esk3_0,addition(multiplication(esk2_0,c(esk3_0)),esk2_0)))=addition(esk2_0,addition(esk3_0,multiplication(esk2_0,c(esk3_0))))),inference(rw,[status(thm)],[inference(rw,[status(thm)],[17597,1514,theory(equality)]),59,theory(equality)])).
% cnf(17611,negated_conjecture,(addition(esk2_0,esk3_0)=addition(esk2_0,addition(esk3_0,multiplication(esk2_0,c(esk3_0))))),inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[17598,29,theory(equality)]),3898,theory(equality)]),29,theory(equality)]),531,theory(equality)]),57,theory(equality)]),29,theory(equality)]),95,theory(equality)])).
% cnf(17626,negated_conjecture,(addition(esk2_0,addition(multiplication(esk2_0,c(esk3_0)),multiplication(c(esk2_0),esk3_0)))=addition(esk2_0,esk3_0)),inference(rw,[status(thm)],[17520,17611,theory(equality)])).
% cnf(17721,negated_conjecture,(multiplication(addition(esk2_0,esk3_0),c(esk2_0))=multiplication(addition(multiplication(esk2_0,c(esk3_0)),multiplication(c(esk2_0),esk3_0)),c(esk2_0))),inference(spm,[status(thm)],[2261,17626,theory(equality)])).
% cnf(17730,negated_conjecture,(multiplication(esk3_0,c(esk2_0))=multiplication(addition(multiplication(esk2_0,c(esk3_0)),multiplication(c(esk2_0),esk3_0)),c(esk2_0))),inference(rw,[status(thm)],[17721,2261,theory(equality)])).
% cnf(17755,negated_conjecture,(addition(addition(multiplication(esk2_0,c(esk3_0)),multiplication(c(esk2_0),esk3_0)),multiplication(esk3_0,c(esk2_0)))=multiplication(addition(multiplication(esk2_0,c(esk3_0)),multiplication(c(esk2_0),esk3_0)),addition(c(esk2_0),one))),inference(spm,[status(thm)],[3898,17730,theory(equality)])).
% cnf(17771,negated_conjecture,(addition(multiplication(esk2_0,c(esk3_0)),addition(multiplication(c(esk2_0),esk3_0),multiplication(esk3_0,c(esk2_0))))=multiplication(addition(multiplication(esk2_0,c(esk3_0)),multiplication(c(esk2_0),esk3_0)),addition(c(esk2_0),one))),inference(rw,[status(thm)],[17755,31,theory(equality)])).
% cnf(17772,negated_conjecture,(addition(multiplication(esk2_0,c(esk3_0)),addition(multiplication(c(esk2_0),esk3_0),multiplication(esk3_0,c(esk2_0))))=addition(multiplication(esk2_0,c(esk3_0)),multiplication(c(esk2_0),esk3_0))),inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[17771,29,theory(equality)]),1356,theory(equality)]),57,theory(equality)])).
% cnf(18228,negated_conjecture,(addition(multiplication(esk2_0,c(esk3_0)),addition(multiplication(esk3_0,c(esk2_0)),multiplication(c(esk2_0),esk3_0)))=addition(multiplication(esk2_0,c(esk3_0)),multiplication(c(esk2_0),esk3_0))),inference(rw,[status(thm)],[17772,29,theory(equality)])).
% cnf(18240,negated_conjecture,(multiplication(esk3_0,addition(multiplication(esk2_0,c(esk3_0)),multiplication(c(esk2_0),esk3_0)))=multiplication(esk3_0,addition(multiplication(esk3_0,c(esk2_0)),multiplication(c(esk2_0),esk3_0)))),inference(spm,[status(thm)],[4992,18228,theory(equality)])).
% cnf(18253,negated_conjecture,(multiplication(esk3_0,multiplication(c(esk2_0),esk3_0))=multiplication(esk3_0,addition(multiplication(esk3_0,c(esk2_0)),multiplication(c(esk2_0),esk3_0)))),inference(rw,[status(thm)],[18240,4992,theory(equality)])).
% cnf(18254,negated_conjecture,(multiplication(esk3_0,multiplication(c(esk2_0),esk3_0))=multiplication(esk3_0,c(esk2_0))),inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[18253,284,theory(equality)]),3898,theory(equality)]),544,theory(equality)]),57,theory(equality)])).
% cnf(18278,negated_conjecture,(addition(multiplication(esk2_0,esk3_0),multiplication(esk3_0,c(esk2_0)))=multiplication(esk3_0,addition(esk2_0,multiplication(c(esk2_0),esk3_0)))),inference(spm,[status(thm)],[10556,18254,theory(equality)])).
% cnf(18303,negated_conjecture,(esk3_0=multiplication(esk3_0,addition(esk2_0,multiplication(c(esk2_0),esk3_0)))),inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[18278,10556,theory(equality)]),1167,theory(equality)]),57,theory(equality)])).
% cnf(18310,negated_conjecture,(addition(addition(esk2_0,multiplication(c(esk2_0),esk3_0)),esk3_0)=multiplication(addition(esk3_0,one),addition(esk2_0,multiplication(c(esk2_0),esk3_0)))),inference(spm,[status(thm)],[6174,18303,theory(equality)])).
% cnf(18338,negated_conjecture,(addition(esk2_0,esk3_0)=multiplication(addition(esk3_0,one),addition(esk2_0,multiplication(c(esk2_0),esk3_0)))),inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[18310,31,theory(equality)]),29,theory(equality)]),6174,theory(equality)]),29,theory(equality)]),1356,theory(equality)]),59,theory(equality)])).
% cnf(18339,negated_conjecture,(addition(esk2_0,esk3_0)=addition(esk2_0,multiplication(c(esk2_0),esk3_0))),inference(rw,[status(thm)],[inference(rw,[status(thm)],[18338,544,theory(equality)]),59,theory(equality)])).
% cnf(18368,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)],[2261,18339,theory(equality)])).
% cnf(18386,negated_conjecture,(multiplication(esk3_0,c(esk2_0))=multiplication(multiplication(c(esk2_0),esk3_0),c(esk2_0))),inference(rw,[status(thm)],[18368,2261,theory(equality)])).
% cnf(18387,negated_conjecture,(multiplication(esk3_0,c(esk2_0))=multiplication(c(esk2_0),multiplication(esk3_0,c(esk2_0)))),inference(rw,[status(thm)],[18386,35,theory(equality)])).
% cnf(19045,negated_conjecture,(addition(multiplication(c(esk3_0),addition(esk2_0,esk3_0)),multiplication(esk3_0,addition(esk3_0,esk3_0)))=multiplication(addition(c(esk3_0),esk3_0),addition(esk3_0,addition(esk2_0,esk3_0)))),inference(spm,[status(thm)],[455,13539,theory(equality)])).
% cnf(19157,negated_conjecture,(addition(esk3_0,multiplication(c(esk3_0),esk2_0))=multiplication(addition(c(esk3_0),esk3_0),addition(esk3_0,addition(esk2_0,esk3_0)))),inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[19045,215,theory(equality)]),33,theory(equality)]),260,theory(equality)]),29,theory(equality)])).
% cnf(19158,negated_conjecture,(addition(esk3_0,multiplication(c(esk3_0),esk2_0))=addition(esk2_0,esk3_0)),inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[19157,29,theory(equality)]),204,theory(equality)]),101,theory(equality)]),33,theory(equality)]),59,theory(equality)])).
% cnf(19235,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)],[632,19158,theory(equality)])).
% cnf(19257,negated_conjecture,(multiplication(esk2_0,c(esk3_0))=multiplication(multiplication(c(esk3_0),esk2_0),c(esk3_0))),inference(rw,[status(thm)],[19235,634,theory(equality)])).
% cnf(19258,negated_conjecture,(multiplication(esk2_0,c(esk3_0))=multiplication(c(esk3_0),multiplication(esk2_0,c(esk3_0)))),inference(rw,[status(thm)],[19257,35,theory(equality)])).
% cnf(25297,negated_conjecture,(addition(esk3_0,multiplication(esk2_0,c(esk3_0)))=multiplication(addition(esk2_0,esk3_0),addition(esk3_0,c(esk3_0)))),inference(spm,[status(thm)],[2764,634,theory(equality)])).
% cnf(25329,negated_conjecture,(addition(esk3_0,multiplication(esk2_0,c(esk3_0)))=addition(esk2_0,esk3_0)),inference(rw,[status(thm)],[inference(rw,[status(thm)],[25297,204,theory(equality)]),57,theory(equality)])).
% cnf(25343,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)],[213,25329,theory(equality)])).
% cnf(25371,negated_conjecture,(multiplication(c(esk3_0),esk2_0)=multiplication(c(esk3_0),multiplication(esk2_0,c(esk3_0)))),inference(rw,[status(thm)],[25343,215,theory(equality)])).
% cnf(25372,negated_conjecture,(multiplication(c(esk3_0),esk2_0)=multiplication(esk2_0,c(esk3_0))),inference(rw,[status(thm)],[25371,19258,theory(equality)])).
% cnf(25659,negated_conjecture,(multiplication(addition(c(esk3_0),multiplication(c(esk2_0),esk3_0)),addition(esk2_0,esk3_0))=addition(multiplication(esk2_0,c(esk3_0)),multiplication(c(esk2_0),esk3_0))),inference(rw,[status(thm)],[inference(rw,[status(thm)],[17295,25372,theory(equality)]),29,theory(equality)])).
% cnf(27912,negated_conjecture,(addition(esk2_0,multiplication(esk3_0,c(esk2_0)))=multiplication(addition(esk2_0,esk3_0),addition(esk2_0,c(esk2_0)))),inference(spm,[status(thm)],[5753,2261,theory(equality)])).
% cnf(27939,negated_conjecture,(addition(esk2_0,multiplication(esk3_0,c(esk2_0)))=addition(esk2_0,esk3_0)),inference(rw,[status(thm)],[inference(rw,[status(thm)],[27912,1167,theory(equality)]),57,theory(equality)])).
% cnf(27958,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)],[1686,27939,theory(equality)])).
% cnf(27977,negated_conjecture,(multiplication(c(esk2_0),esk3_0)=multiplication(c(esk2_0),multiplication(esk3_0,c(esk2_0)))),inference(rw,[status(thm)],[27958,1686,theory(equality)])).
% cnf(27978,negated_conjecture,(multiplication(c(esk2_0),esk3_0)=multiplication(esk3_0,c(esk2_0))),inference(rw,[status(thm)],[27977,18387,theory(equality)])).
% cnf(28329,negated_conjecture,(addition(esk2_0,addition(multiplication(esk2_0,c(esk3_0)),multiplication(esk3_0,c(esk2_0))))=addition(esk2_0,esk3_0)),inference(rw,[status(thm)],[17626,27978,theory(equality)])).
% cnf(28335,negated_conjecture,(multiplication(addition(c(esk3_0),multiplication(esk3_0,c(esk2_0))),addition(esk2_0,esk3_0))=addition(multiplication(esk2_0,c(esk3_0)),multiplication(c(esk2_0),esk3_0))),inference(rw,[status(thm)],[25659,27978,theory(equality)])).
% cnf(28336,negated_conjecture,(multiplication(addition(c(esk3_0),multiplication(esk3_0,c(esk2_0))),addition(esk2_0,esk3_0))=addition(multiplication(esk2_0,c(esk3_0)),multiplication(esk3_0,c(esk2_0)))),inference(rw,[status(thm)],[28335,27978,theory(equality)])).
% cnf(29665,negated_conjecture,(addition(esk2_0,addition(multiplication(esk2_0,c(esk3_0)),multiplication(esk3_0,c(esk2_0))))=multiplication(addition(esk2_0,addition(c(esk3_0),multiplication(esk3_0,c(esk2_0)))),addition(esk2_0,esk3_0))),inference(spm,[status(thm)],[6676,28336,theory(equality)])).
% cnf(29705,negated_conjecture,(addition(esk2_0,esk3_0)=multiplication(addition(esk2_0,addition(c(esk3_0),multiplication(esk3_0,c(esk2_0)))),addition(esk2_0,esk3_0))),inference(rw,[status(thm)],[29665,28329,theory(equality)])).
% cnf(29910,negated_conjecture,(addition(addition(esk2_0,addition(c(esk3_0),multiplication(esk3_0,c(esk2_0)))),addition(esk2_0,esk3_0))=multiplication(addition(esk2_0,addition(c(esk3_0),multiplication(esk3_0,c(esk2_0)))),addition(addition(esk2_0,esk3_0),one))),inference(spm,[status(thm)],[3898,29705,theory(equality)])).
% cnf(29933,negated_conjecture,(one=multiplication(addition(esk2_0,addition(c(esk3_0),multiplication(esk3_0,c(esk2_0)))),addition(addition(esk2_0,esk3_0),one))),inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[29910,31,theory(equality)]),31,theory(equality)]),101,theory(equality)]),29,theory(equality)]),3898,theory(equality)]),29,theory(equality)]),1356,theory(equality)]),57,theory(equality)]),101,theory(equality)]),29,theory(equality)]),204,theory(equality)]),1514,theory(equality)]),1514,theory(equality)])).
% cnf(29934,negated_conjecture,(one=addition(esk2_0,addition(c(esk3_0),multiplication(esk3_0,c(esk2_0))))),inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[29933,31,theory(equality)]),544,theory(equality)]),1514,theory(equality)]),57,theory(equality)])).
% cnf(29959,negated_conjecture,(multiplication(one,c(esk2_0))=multiplication(addition(c(esk3_0),multiplication(esk3_0,c(esk2_0))),c(esk2_0))),inference(spm,[status(thm)],[2261,29934,theory(equality)])).
% cnf(29980,negated_conjecture,(c(esk2_0)=multiplication(addition(c(esk3_0),multiplication(esk3_0,c(esk2_0))),c(esk2_0))),inference(rw,[status(thm)],[29959,59,theory(equality)])).
% cnf(29992,negated_conjecture,(addition(addition(c(esk3_0),multiplication(esk3_0,c(esk2_0))),c(esk2_0))=multiplication(addition(c(esk3_0),multiplication(esk3_0,c(esk2_0))),addition(c(esk2_0),one))),inference(spm,[status(thm)],[3898,29980,theory(equality)])).
% cnf(30007,negated_conjecture,(addition(c(esk3_0),addition(multiplication(esk3_0,c(esk2_0)),c(esk2_0)))=multiplication(addition(c(esk3_0),multiplication(esk3_0,c(esk2_0))),addition(c(esk2_0),one))),inference(rw,[status(thm)],[29992,31,theory(equality)])).
% cnf(30008,negated_conjecture,(addition(c(esk3_0),addition(multiplication(esk3_0,c(esk2_0)),c(esk2_0)))=addition(c(esk3_0),multiplication(esk3_0,c(esk2_0)))),inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[30007,29,theory(equality)]),1356,theory(equality)]),57,theory(equality)])).
% cnf(30051,negated_conjecture,(addition(c(esk2_0),c(esk3_0))=addition(c(esk3_0),multiplication(esk3_0,c(esk2_0)))),inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[30008,29,theory(equality)]),6174,theory(equality)]),544,theory(equality)]),59,theory(equality)]),29,theory(equality)])).
% cnf(948556,plain,(c(X1)=X2|addition(X1,X2)!=one|multiplication(X2,X1)!=zero|multiplication(X1,X2)!=zero),inference(csr,[status(thm)],[9657,181])).
% cnf(1091222,negated_conjecture,(addition(multiplication(esk2_0,esk3_0),addition(c(esk2_0),c(esk3_0)))=addition(c(esk3_0),multiplication(esk3_0,addition(esk2_0,c(esk2_0))))),inference(spm,[status(thm)],[11523,30051,theory(equality)])).
% cnf(1092012,negated_conjecture,(addition(multiplication(esk2_0,esk3_0),addition(c(esk2_0),c(esk3_0)))=one),inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1091222,1167,theory(equality)]),57,theory(equality)]),29,theory(equality)]),204,theory(equality)])).
% cnf(1092407,negated_conjecture,(c(multiplication(esk2_0,esk3_0))=addition(c(esk2_0),c(esk3_0))|multiplication(addition(c(esk2_0),c(esk3_0)),multiplication(esk2_0,esk3_0))!=zero|multiplication(multiplication(esk2_0,esk3_0),addition(c(esk2_0),c(esk3_0)))!=zero),inference(spm,[status(thm)],[948556,1092012,theory(equality)])).
% cnf(1092568,negated_conjecture,(c(multiplication(esk2_0,esk3_0))=addition(c(esk2_0),c(esk3_0))|$false|multiplication(multiplication(esk2_0,esk3_0),addition(c(esk2_0),c(esk3_0)))!=zero),inference(rw,[status(thm)],[inference(rw,[status(thm)],[1092407,11665,theory(equality)]),1685,theory(equality)])).
% cnf(1092569,negated_conjecture,(c(multiplication(esk2_0,esk3_0))=addition(c(esk2_0),c(esk3_0))|$false|$false),inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1092568,35,theory(equality)]),633,theory(equality)]),6736,theory(equality)])).
% cnf(1092570,negated_conjecture,(c(multiplication(esk2_0,esk3_0))=addition(c(esk2_0),c(esk3_0))),inference(cn,[status(thm)],[1092569,theory(equality)])).
% cnf(1093237,negated_conjecture,(~leq(c(multiplication(esk2_0,esk3_0)),c(multiplication(esk2_0,esk3_0)))|~leq(addition(c(esk2_0),c(esk3_0)),c(multiplication(esk2_0,esk3_0)))),inference(rw,[status(thm)],[70,1092570,theory(equality)])).
% cnf(1093238,negated_conjecture,(~leq(c(multiplication(esk2_0,esk3_0)),c(multiplication(esk2_0,esk3_0)))|~leq(c(multiplication(esk2_0,esk3_0)),c(multiplication(esk2_0,esk3_0)))),inference(rw,[status(thm)],[1093237,1092570,theory(equality)])).
% cnf(1093239,negated_conjecture,(~leq(c(multiplication(esk2_0,esk3_0)),c(multiplication(esk2_0,esk3_0)))),inference(cn,[status(thm)],[1093238,theory(equality)])).
% cnf(1094752,negated_conjecture,(addition(c(multiplication(esk2_0,esk3_0)),c(multiplication(esk2_0,esk3_0)))!=c(multiplication(esk2_0,esk3_0))),inference(spm,[status(thm)],[1093239,22,theory(equality)])).
% cnf(1094757,negated_conjecture,($false),inference(rw,[status(thm)],[1094752,33,theory(equality)])).
% cnf(1094758,negated_conjecture,($false),inference(cn,[status(thm)],[1094757,theory(equality)])).
% cnf(1094759,negated_conjecture,($false),1094758,['proof']).
% # SZS output end CNFRefutation
% # Processed clauses                  : 27165
% # ...of these trivial                : 1527
% # ...subsumed                        : 22767
% # ...remaining for further processing: 2871
% # Other redundant clauses eliminated : 12
% # Clauses deleted for lack of memory : 0
% # Backward-subsumed                  : 301
% # Backward-rewritten                 : 739
% # Generated clauses                  : 497351
% # ...of the previous two non-trivial : 375613
% # Contextual simplify-reflections    : 6575
% # Paramodulations                    : 497307
% # Factorizations                     : 15
% # Equation resolutions               : 29
% # Current number of processed clauses: 1831
% #    Positive orientable unit clauses: 904
% #    Positive unorientable unit clauses: 24
% #    Negative unit clauses           : 69
% #    Non-unit-clauses                : 834
% # Current number of unprocessed clauses: 294324
% # ...number of literals in the above : 528666
% # Clause-clause subsumption calls (NU) : 401425
% # Rec. Clause-clause subsumption calls : 331687
% # Unit Clause-clause subsumption calls : 8655
% # Rewrite failures with RHS unbound  : 0
% # Indexed BW rewrite attempts        : 8290
% # Indexed BW rewrite successes       : 586
% # Backwards rewriting index:   940 leaves,   2.97+/-4.937 terms/leaf
% # Paramod-from index:          515 leaves,   2.39+/-3.153 terms/leaf
% # Paramod-into index:          788 leaves,   2.86+/-4.204 terms/leaf
% # -------------------------------------------------
% # User time              : 21.785 s
% # System time            : 0.892 s
% # Total time             : 22.677 s
% # Maximum resident set size: 0 pages
% PrfWatch: 40.73 CPU 41.17 WC
% FINAL PrfWatch: 40.73 CPU 41.17 WC
% SZS output end Solution for /tmp/SystemOnTPTP13773/KLE016+3.tptp
% 
%------------------------------------------------------------------------------