%------------------------------------------------------------------------------
% File     : SRASS---0.1
% Problem  : KLE010+4 : TPTP v5.0.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp
% Command  : SRASS -q2 -a 0 10 10 10 -i3 -n60 %s

% Computer : art07.cs.miami.edu
% Model    : i686 i686
% CPU      : Intel(R) Pentium(R) 4 CPU 2.80GHz @ 2793MHz
% Memory   : 2018MB
% OS       : Linux 2.6.26.8-57.fc8
% CPULimit : 300s
% DateTime : Wed Dec 29 07:31:38 EST 2010

% Result   : Theorem 2.05s
% Output   : Solution 2.05s
% 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/SystemOnTPTP19289/KLE010+4.tptp
% Adding relevance values
% Extracting the conjecture
% Sorting axioms by relevance
% Looking for THM       ... 
% found
% SZS status THM for /tmp/SystemOnTPTP19289/KLE010+4.tptp
% SZS output start Solution for /tmp/SystemOnTPTP19289/KLE010+4.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 19385
% TreeLimitedRun: ----------------------------------------------------------
% PrfWatch: 0.00 CPU 0.00 WC
% # Preprocessing time     : 0.012 s
% # Problem is unsatisfiable (or provable), constructing proof object
% # SZS status Theorem
% # SZS output start CNFRefutation.
% fof(1, axiom,![X1]:![X2]:((test(X1)&test(X2))=>c(addition(X1,X2))=multiplication(c(X1),c(X2))),file('/tmp/SRASS.s.p', test_deMorgan1)).
% fof(2, axiom,![X1]:![X2]:((test(X1)&test(X2))=>c(multiplication(X1,X2))=addition(c(X1),c(X2))),file('/tmp/SRASS.s.p', test_deMorgan2)).
% fof(3, axiom,![X3]:multiplication(X3,one)=X3,file('/tmp/SRASS.s.p', multiplicative_right_identity)).
% fof(4, axiom,![X3]:multiplication(one,X3)=X3,file('/tmp/SRASS.s.p', multiplicative_left_identity)).
% fof(5, axiom,![X3]:![X4]:(leq(X3,X4)<=>addition(X3,X4)=X4),file('/tmp/SRASS.s.p', order)).
% fof(6, axiom,![X3]:![X4]:![X5]:multiplication(X3,addition(X4,X5))=addition(multiplication(X3,X4),multiplication(X3,X5)),file('/tmp/SRASS.s.p', right_distributivity)).
% fof(7, axiom,![X3]:![X4]:![X5]:multiplication(addition(X3,X4),X5)=addition(multiplication(X3,X5),multiplication(X4,X5)),file('/tmp/SRASS.s.p', left_distributivity)).
% fof(8, axiom,![X3]:![X4]:addition(X3,X4)=addition(X4,X3),file('/tmp/SRASS.s.p', additive_commutativity)).
% fof(9, axiom,![X5]:![X4]:![X3]:addition(X3,addition(X4,X5))=addition(addition(X3,X4),X5),file('/tmp/SRASS.s.p', additive_associativity)).
% fof(10, axiom,![X3]:addition(X3,X3)=X3,file('/tmp/SRASS.s.p', additive_idempotence)).
% fof(11, axiom,![X3]:![X4]:![X5]:multiplication(X3,multiplication(X4,X5))=multiplication(multiplication(X3,X4),X5),file('/tmp/SRASS.s.p', multiplicative_associativity)).
% fof(12, axiom,![X1]:(~(test(X1))=>c(X1)=zero),file('/tmp/SRASS.s.p', test_4)).
% fof(13, axiom,![X1]:![X2]:(test(X1)=>(c(X1)=X2<=>complement(X1,X2))),file('/tmp/SRASS.s.p', test_3)).
% fof(14, axiom,![X1]:![X2]:(complement(X2,X1)<=>((multiplication(X1,X2)=zero&multiplication(X2,X1)=zero)&addition(X1,X2)=one)),file('/tmp/SRASS.s.p', test_2)).
% fof(15, axiom,![X1]:(test(X1)<=>?[X2]:complement(X2,X1)),file('/tmp/SRASS.s.p', test_1)).
% fof(16, axiom,![X3]:addition(X3,zero)=X3,file('/tmp/SRASS.s.p', additive_identity)).
% fof(17, axiom,![X3]:multiplication(X3,zero)=zero,file('/tmp/SRASS.s.p', right_annihilation)).
% fof(18, axiom,![X3]:multiplication(zero,X3)=zero,file('/tmp/SRASS.s.p', left_annihilation)).
% fof(19, conjecture,![X1]:![X2]:((test(X2)&test(X1))=>(leq(one,addition(addition(addition(addition(multiplication(X2,X1),multiplication(c(X2),X1)),multiplication(X1,X2)),multiplication(c(X1),X2)),multiplication(c(X1),c(X2))))&leq(addition(addition(addition(addition(multiplication(X2,X1),multiplication(c(X2),X1)),multiplication(X1,X2)),multiplication(c(X1),X2)),multiplication(c(X1),c(X2))),one))),file('/tmp/SRASS.s.p', goals)).
% fof(20, negated_conjecture,~(![X1]:![X2]:((test(X2)&test(X1))=>(leq(one,addition(addition(addition(addition(multiplication(X2,X1),multiplication(c(X2),X1)),multiplication(X1,X2)),multiplication(c(X1),X2)),multiplication(c(X1),c(X2))))&leq(addition(addition(addition(addition(multiplication(X2,X1),multiplication(c(X2),X1)),multiplication(X1,X2)),multiplication(c(X1),X2)),multiplication(c(X1),c(X2))),one)))),inference(assume_negation,[status(cth)],[19])).
% fof(21, plain,![X1]:(~(test(X1))=>c(X1)=zero),inference(fof_simplification,[status(thm)],[12,theory(equality)])).
% fof(22, plain,![X1]:![X2]:((~(test(X1))|~(test(X2)))|c(addition(X1,X2))=multiplication(c(X1),c(X2))),inference(fof_nnf,[status(thm)],[1])).
% fof(23, plain,![X3]:![X4]:((~(test(X3))|~(test(X4)))|c(addition(X3,X4))=multiplication(c(X3),c(X4))),inference(variable_rename,[status(thm)],[22])).
% cnf(24,plain,(c(addition(X1,X2))=multiplication(c(X1),c(X2))|~test(X2)|~test(X1)),inference(split_conjunct,[status(thm)],[23])).
% fof(25, plain,![X1]:![X2]:((~(test(X1))|~(test(X2)))|c(multiplication(X1,X2))=addition(c(X1),c(X2))),inference(fof_nnf,[status(thm)],[2])).
% fof(26, plain,![X3]:![X4]:((~(test(X3))|~(test(X4)))|c(multiplication(X3,X4))=addition(c(X3),c(X4))),inference(variable_rename,[status(thm)],[25])).
% cnf(27,plain,(c(multiplication(X1,X2))=addition(c(X1),c(X2))|~test(X2)|~test(X1)),inference(split_conjunct,[status(thm)],[26])).
% fof(28, plain,![X4]:multiplication(X4,one)=X4,inference(variable_rename,[status(thm)],[3])).
% cnf(29,plain,(multiplication(X1,one)=X1),inference(split_conjunct,[status(thm)],[28])).
% fof(30, plain,![X4]:multiplication(one,X4)=X4,inference(variable_rename,[status(thm)],[4])).
% cnf(31,plain,(multiplication(one,X1)=X1),inference(split_conjunct,[status(thm)],[30])).
% fof(32, plain,![X3]:![X4]:((~(leq(X3,X4))|addition(X3,X4)=X4)&(~(addition(X3,X4)=X4)|leq(X3,X4))),inference(fof_nnf,[status(thm)],[5])).
% fof(33, plain,![X5]:![X6]:((~(leq(X5,X6))|addition(X5,X6)=X6)&(~(addition(X5,X6)=X6)|leq(X5,X6))),inference(variable_rename,[status(thm)],[32])).
% cnf(34,plain,(leq(X1,X2)|addition(X1,X2)!=X2),inference(split_conjunct,[status(thm)],[33])).
% fof(36, plain,![X6]:![X7]:![X8]:multiplication(X6,addition(X7,X8))=addition(multiplication(X6,X7),multiplication(X6,X8)),inference(variable_rename,[status(thm)],[6])).
% cnf(37,plain,(multiplication(X1,addition(X2,X3))=addition(multiplication(X1,X2),multiplication(X1,X3))),inference(split_conjunct,[status(thm)],[36])).
% fof(38, plain,![X6]:![X7]:![X8]:multiplication(addition(X6,X7),X8)=addition(multiplication(X6,X8),multiplication(X7,X8)),inference(variable_rename,[status(thm)],[7])).
% cnf(39,plain,(multiplication(addition(X1,X2),X3)=addition(multiplication(X1,X3),multiplication(X2,X3))),inference(split_conjunct,[status(thm)],[38])).
% fof(40, plain,![X5]:![X6]:addition(X5,X6)=addition(X6,X5),inference(variable_rename,[status(thm)],[8])).
% cnf(41,plain,(addition(X1,X2)=addition(X2,X1)),inference(split_conjunct,[status(thm)],[40])).
% fof(42, plain,![X6]:![X7]:![X8]:addition(X8,addition(X7,X6))=addition(addition(X8,X7),X6),inference(variable_rename,[status(thm)],[9])).
% cnf(43,plain,(addition(X1,addition(X2,X3))=addition(addition(X1,X2),X3)),inference(split_conjunct,[status(thm)],[42])).
% fof(44, plain,![X4]:addition(X4,X4)=X4,inference(variable_rename,[status(thm)],[10])).
% cnf(45,plain,(addition(X1,X1)=X1),inference(split_conjunct,[status(thm)],[44])).
% fof(46, plain,![X6]:![X7]:![X8]:multiplication(X6,multiplication(X7,X8))=multiplication(multiplication(X6,X7),X8),inference(variable_rename,[status(thm)],[11])).
% cnf(47,plain,(multiplication(X1,multiplication(X2,X3))=multiplication(multiplication(X1,X2),X3)),inference(split_conjunct,[status(thm)],[46])).
% fof(48, plain,![X1]:(test(X1)|c(X1)=zero),inference(fof_nnf,[status(thm)],[21])).
% fof(49, plain,![X2]:(test(X2)|c(X2)=zero),inference(variable_rename,[status(thm)],[48])).
% cnf(50,plain,(c(X1)=zero|test(X1)),inference(split_conjunct,[status(thm)],[49])).
% fof(51, plain,![X1]:![X2]:(~(test(X1))|((~(c(X1)=X2)|complement(X1,X2))&(~(complement(X1,X2))|c(X1)=X2))),inference(fof_nnf,[status(thm)],[13])).
% fof(52, plain,![X3]:![X4]:(~(test(X3))|((~(c(X3)=X4)|complement(X3,X4))&(~(complement(X3,X4))|c(X3)=X4))),inference(variable_rename,[status(thm)],[51])).
% fof(53, plain,![X3]:![X4]:(((~(c(X3)=X4)|complement(X3,X4))|~(test(X3)))&((~(complement(X3,X4))|c(X3)=X4)|~(test(X3)))),inference(distribute,[status(thm)],[52])).
% cnf(54,plain,(c(X1)=X2|~test(X1)|~complement(X1,X2)),inference(split_conjunct,[status(thm)],[53])).
% cnf(55,plain,(complement(X1,X2)|~test(X1)|c(X1)!=X2),inference(split_conjunct,[status(thm)],[53])).
% fof(56, plain,![X1]:![X2]:((~(complement(X2,X1))|((multiplication(X1,X2)=zero&multiplication(X2,X1)=zero)&addition(X1,X2)=one))&(((~(multiplication(X1,X2)=zero)|~(multiplication(X2,X1)=zero))|~(addition(X1,X2)=one))|complement(X2,X1))),inference(fof_nnf,[status(thm)],[14])).
% fof(57, plain,![X3]:![X4]:((~(complement(X4,X3))|((multiplication(X3,X4)=zero&multiplication(X4,X3)=zero)&addition(X3,X4)=one))&(((~(multiplication(X3,X4)=zero)|~(multiplication(X4,X3)=zero))|~(addition(X3,X4)=one))|complement(X4,X3))),inference(variable_rename,[status(thm)],[56])).
% fof(58, plain,![X3]:![X4]:((((multiplication(X3,X4)=zero|~(complement(X4,X3)))&(multiplication(X4,X3)=zero|~(complement(X4,X3))))&(addition(X3,X4)=one|~(complement(X4,X3))))&(((~(multiplication(X3,X4)=zero)|~(multiplication(X4,X3)=zero))|~(addition(X3,X4)=one))|complement(X4,X3))),inference(distribute,[status(thm)],[57])).
% cnf(59,plain,(complement(X1,X2)|addition(X2,X1)!=one|multiplication(X1,X2)!=zero|multiplication(X2,X1)!=zero),inference(split_conjunct,[status(thm)],[58])).
% cnf(60,plain,(addition(X2,X1)=one|~complement(X1,X2)),inference(split_conjunct,[status(thm)],[58])).
% cnf(61,plain,(multiplication(X1,X2)=zero|~complement(X1,X2)),inference(split_conjunct,[status(thm)],[58])).
% cnf(62,plain,(multiplication(X2,X1)=zero|~complement(X1,X2)),inference(split_conjunct,[status(thm)],[58])).
% fof(63, plain,![X1]:((~(test(X1))|?[X2]:complement(X2,X1))&(![X2]:~(complement(X2,X1))|test(X1))),inference(fof_nnf,[status(thm)],[15])).
% fof(64, plain,![X3]:((~(test(X3))|?[X4]:complement(X4,X3))&(![X5]:~(complement(X5,X3))|test(X3))),inference(variable_rename,[status(thm)],[63])).
% fof(65, plain,![X3]:((~(test(X3))|complement(esk1_1(X3),X3))&(![X5]:~(complement(X5,X3))|test(X3))),inference(skolemize,[status(esa)],[64])).
% fof(66, plain,![X3]:![X5]:((~(complement(X5,X3))|test(X3))&(~(test(X3))|complement(esk1_1(X3),X3))),inference(shift_quantors,[status(thm)],[65])).
% cnf(67,plain,(complement(esk1_1(X1),X1)|~test(X1)),inference(split_conjunct,[status(thm)],[66])).
% cnf(68,plain,(test(X1)|~complement(X2,X1)),inference(split_conjunct,[status(thm)],[66])).
% fof(69, plain,![X4]:addition(X4,zero)=X4,inference(variable_rename,[status(thm)],[16])).
% cnf(70,plain,(addition(X1,zero)=X1),inference(split_conjunct,[status(thm)],[69])).
% fof(71, plain,![X4]:multiplication(X4,zero)=zero,inference(variable_rename,[status(thm)],[17])).
% cnf(72,plain,(multiplication(X1,zero)=zero),inference(split_conjunct,[status(thm)],[71])).
% fof(73, plain,![X4]:multiplication(zero,X4)=zero,inference(variable_rename,[status(thm)],[18])).
% cnf(74,plain,(multiplication(zero,X1)=zero),inference(split_conjunct,[status(thm)],[73])).
% fof(75, negated_conjecture,?[X1]:?[X2]:((test(X2)&test(X1))&(~(leq(one,addition(addition(addition(addition(multiplication(X2,X1),multiplication(c(X2),X1)),multiplication(X1,X2)),multiplication(c(X1),X2)),multiplication(c(X1),c(X2)))))|~(leq(addition(addition(addition(addition(multiplication(X2,X1),multiplication(c(X2),X1)),multiplication(X1,X2)),multiplication(c(X1),X2)),multiplication(c(X1),c(X2))),one)))),inference(fof_nnf,[status(thm)],[20])).
% fof(76, negated_conjecture,?[X3]:?[X4]:((test(X4)&test(X3))&(~(leq(one,addition(addition(addition(addition(multiplication(X4,X3),multiplication(c(X4),X3)),multiplication(X3,X4)),multiplication(c(X3),X4)),multiplication(c(X3),c(X4)))))|~(leq(addition(addition(addition(addition(multiplication(X4,X3),multiplication(c(X4),X3)),multiplication(X3,X4)),multiplication(c(X3),X4)),multiplication(c(X3),c(X4))),one)))),inference(variable_rename,[status(thm)],[75])).
% fof(77, negated_conjecture,((test(esk3_0)&test(esk2_0))&(~(leq(one,addition(addition(addition(addition(multiplication(esk3_0,esk2_0),multiplication(c(esk3_0),esk2_0)),multiplication(esk2_0,esk3_0)),multiplication(c(esk2_0),esk3_0)),multiplication(c(esk2_0),c(esk3_0)))))|~(leq(addition(addition(addition(addition(multiplication(esk3_0,esk2_0),multiplication(c(esk3_0),esk2_0)),multiplication(esk2_0,esk3_0)),multiplication(c(esk2_0),esk3_0)),multiplication(c(esk2_0),c(esk3_0))),one)))),inference(skolemize,[status(esa)],[76])).
% cnf(78,negated_conjecture,(~leq(addition(addition(addition(addition(multiplication(esk3_0,esk2_0),multiplication(c(esk3_0),esk2_0)),multiplication(esk2_0,esk3_0)),multiplication(c(esk2_0),esk3_0)),multiplication(c(esk2_0),c(esk3_0))),one)|~leq(one,addition(addition(addition(addition(multiplication(esk3_0,esk2_0),multiplication(c(esk3_0),esk2_0)),multiplication(esk2_0,esk3_0)),multiplication(c(esk2_0),esk3_0)),multiplication(c(esk2_0),c(esk3_0))))),inference(split_conjunct,[status(thm)],[77])).
% cnf(79,negated_conjecture,(test(esk2_0)),inference(split_conjunct,[status(thm)],[77])).
% cnf(80,negated_conjecture,(test(esk3_0)),inference(split_conjunct,[status(thm)],[77])).
% cnf(81,negated_conjecture,(~leq(one,addition(multiplication(esk2_0,esk3_0),addition(multiplication(c(esk2_0),esk3_0),addition(multiplication(c(esk2_0),c(esk3_0)),multiplication(addition(esk3_0,c(esk3_0)),esk2_0)))))|~leq(addition(addition(addition(addition(multiplication(esk3_0,esk2_0),multiplication(c(esk3_0),esk2_0)),multiplication(esk2_0,esk3_0)),multiplication(c(esk2_0),esk3_0)),multiplication(c(esk2_0),c(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)],[78,39,theory(equality)]),41,theory(equality)]),43,theory(equality)]),41,theory(equality)]),43,theory(equality)]),43,theory(equality)]),41,theory(equality)])).
% cnf(82,negated_conjecture,(~leq(one,addition(multiplication(esk2_0,esk3_0),addition(multiplication(c(esk2_0),esk3_0),addition(multiplication(c(esk2_0),c(esk3_0)),multiplication(addition(esk3_0,c(esk3_0)),esk2_0)))))|~leq(addition(multiplication(esk2_0,esk3_0),addition(multiplication(c(esk2_0),esk3_0),addition(multiplication(c(esk2_0),c(esk3_0)),multiplication(addition(esk3_0,c(esk3_0)),esk2_0)))),one)),inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[81,39,theory(equality)]),41,theory(equality)]),43,theory(equality)]),41,theory(equality)]),43,theory(equality)]),43,theory(equality)]),41,theory(equality)])).
% cnf(83,plain,(addition(zero,X1)=X1),inference(spm,[status(thm)],[70,41,theory(equality)])).
% cnf(91,plain,(addition(X1,esk1_1(X1))=one|~test(X1)),inference(spm,[status(thm)],[60,67,theory(equality)])).
% cnf(92,plain,(multiplication(X1,esk1_1(X1))=zero|~test(X1)),inference(spm,[status(thm)],[62,67,theory(equality)])).
% cnf(96,plain,(addition(X1,addition(X2,X3))=addition(X3,addition(X1,X2))),inference(spm,[status(thm)],[41,43,theory(equality)])).
% cnf(100,plain,(addition(X1,X2)=addition(X1,addition(X1,X2))),inference(spm,[status(thm)],[43,45,theory(equality)])).
% cnf(101,plain,(addition(addition(X2,X1),X3)=addition(X1,addition(X2,X3))),inference(spm,[status(thm)],[43,41,theory(equality)])).
% cnf(106,plain,(addition(X2,addition(X1,X3))=addition(X1,addition(X2,X3))),inference(rw,[status(thm)],[101,43,theory(equality)])).
% cnf(125,plain,(test(X1)|c(X2)!=X1|~test(X2)),inference(spm,[status(thm)],[68,55,theory(equality)])).
% cnf(126,plain,(addition(X1,X2)=one|c(X2)!=X1|~test(X2)),inference(spm,[status(thm)],[60,55,theory(equality)])).
% cnf(127,plain,(multiplication(X1,X2)=zero|c(X2)!=X1|~test(X2)),inference(spm,[status(thm)],[62,55,theory(equality)])).
% cnf(128,plain,(multiplication(X1,X2)=zero|c(X1)!=X2|~test(X1)),inference(spm,[status(thm)],[61,55,theory(equality)])).
% cnf(133,plain,(addition(multiplication(X1,addition(X2,X3)),X4)=addition(multiplication(X1,X2),addition(multiplication(X1,X3),X4))),inference(spm,[status(thm)],[43,37,theory(equality)])).
% cnf(139,plain,(addition(multiplication(X1,X2),X1)=multiplication(X1,addition(X2,one))),inference(spm,[status(thm)],[37,29,theory(equality)])).
% cnf(162,plain,(c(multiplication(X1,X1))=c(X1)|~test(X1)),inference(spm,[status(thm)],[45,27,theory(equality)])).
% cnf(167,plain,(addition(c(addition(X1,X2)),multiplication(c(X1),X3))=multiplication(c(X1),addition(c(X2),X3))|~test(X2)|~test(X1)),inference(spm,[status(thm)],[37,24,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)],[43,39,theory(equality)])).
% cnf(175,plain,(addition(multiplication(X1,X2),X2)=multiplication(addition(X1,one),X2)),inference(spm,[status(thm)],[39,31,theory(equality)])).
% cnf(201,plain,(test(X1)|addition(X1,X2)!=one|multiplication(X1,X2)!=zero|multiplication(X2,X1)!=zero),inference(spm,[status(thm)],[68,59,theory(equality)])).
% cnf(204,plain,(c(X1)=X2|~test(X1)|addition(X2,X1)!=one|multiplication(X2,X1)!=zero|multiplication(X1,X2)!=zero),inference(spm,[status(thm)],[54,59,theory(equality)])).
% cnf(206,negated_conjecture,(~leq(one,addition(multiplication(esk2_0,esk3_0),addition(multiplication(c(esk2_0),esk3_0),addition(c(addition(esk2_0,esk3_0)),multiplication(addition(esk3_0,c(esk3_0)),esk2_0)))))|~leq(addition(multiplication(esk2_0,esk3_0),addition(multiplication(c(esk2_0),esk3_0),addition(c(addition(esk2_0,esk3_0)),multiplication(addition(esk3_0,c(esk3_0)),esk2_0)))),one)|~test(esk3_0)|~test(esk2_0)),inference(spm,[status(thm)],[82,24,theory(equality)])).
% cnf(207,negated_conjecture,(~leq(one,addition(multiplication(esk2_0,esk3_0),addition(multiplication(c(esk2_0),esk3_0),addition(multiplication(c(esk2_0),c(esk3_0)),multiplication(addition(esk3_0,c(esk3_0)),esk2_0)))))|addition(addition(multiplication(esk2_0,esk3_0),addition(multiplication(c(esk2_0),esk3_0),addition(multiplication(c(esk2_0),c(esk3_0)),multiplication(addition(esk3_0,c(esk3_0)),esk2_0)))),one)!=one),inference(spm,[status(thm)],[82,34,theory(equality)])).
% cnf(208,negated_conjecture,(~leq(one,addition(multiplication(esk2_0,esk3_0),addition(multiplication(c(esk2_0),esk3_0),addition(c(addition(esk2_0,esk3_0)),multiplication(addition(esk3_0,c(esk3_0)),esk2_0)))))|~leq(addition(multiplication(esk2_0,esk3_0),addition(multiplication(c(esk2_0),esk3_0),addition(c(addition(esk2_0,esk3_0)),multiplication(addition(esk3_0,c(esk3_0)),esk2_0)))),one)|$false|~test(esk2_0)),inference(rw,[status(thm)],[206,80,theory(equality)])).
% cnf(209,negated_conjecture,(~leq(one,addition(multiplication(esk2_0,esk3_0),addition(multiplication(c(esk2_0),esk3_0),addition(c(addition(esk2_0,esk3_0)),multiplication(addition(esk3_0,c(esk3_0)),esk2_0)))))|~leq(addition(multiplication(esk2_0,esk3_0),addition(multiplication(c(esk2_0),esk3_0),addition(c(addition(esk2_0,esk3_0)),multiplication(addition(esk3_0,c(esk3_0)),esk2_0)))),one)|$false|$false),inference(rw,[status(thm)],[208,79,theory(equality)])).
% cnf(210,negated_conjecture,(~leq(one,addition(multiplication(esk2_0,esk3_0),addition(multiplication(c(esk2_0),esk3_0),addition(c(addition(esk2_0,esk3_0)),multiplication(addition(esk3_0,c(esk3_0)),esk2_0)))))|~leq(addition(multiplication(esk2_0,esk3_0),addition(multiplication(c(esk2_0),esk3_0),addition(c(addition(esk2_0,esk3_0)),multiplication(addition(esk3_0,c(esk3_0)),esk2_0)))),one)),inference(cn,[status(thm)],[209,theory(equality)])).
% cnf(211,negated_conjecture,(~leq(one,addition(multiplication(esk2_0,esk3_0),addition(multiplication(c(esk2_0),esk3_0),addition(multiplication(c(esk2_0),c(esk3_0)),multiplication(addition(esk3_0,c(esk3_0)),esk2_0)))))|addition(multiplication(esk2_0,esk3_0),addition(multiplication(c(esk2_0),esk3_0),addition(multiplication(c(esk2_0),c(esk3_0)),addition(multiplication(addition(esk3_0,c(esk3_0)),esk2_0),one))))!=one),inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[207,43,theory(equality)]),43,theory(equality)]),43,theory(equality)])).
% cnf(212,negated_conjecture,(~leq(one,addition(multiplication(esk2_0,esk3_0),addition(multiplication(c(esk2_0),esk3_0),addition(c(addition(esk2_0,esk3_0)),multiplication(addition(esk3_0,c(esk3_0)),esk2_0)))))|addition(addition(multiplication(esk2_0,esk3_0),addition(multiplication(c(esk2_0),esk3_0),addition(c(addition(esk2_0,esk3_0)),multiplication(addition(esk3_0,c(esk3_0)),esk2_0)))),one)!=one),inference(spm,[status(thm)],[210,34,theory(equality)])).
% cnf(213,negated_conjecture,(~leq(one,addition(multiplication(esk2_0,esk3_0),addition(multiplication(c(esk2_0),esk3_0),addition(c(addition(esk2_0,esk3_0)),multiplication(addition(esk3_0,c(esk3_0)),esk2_0)))))|addition(multiplication(esk2_0,esk3_0),addition(multiplication(c(esk2_0),esk3_0),addition(c(addition(esk2_0,esk3_0)),addition(multiplication(addition(esk3_0,c(esk3_0)),esk2_0),one))))!=one),inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[212,43,theory(equality)]),43,theory(equality)]),43,theory(equality)])).
% cnf(214,negated_conjecture,(~leq(one,addition(multiplication(esk2_0,esk3_0),addition(multiplication(c(esk2_0),esk3_0),addition(c(addition(esk2_0,esk3_0)),multiplication(addition(esk3_0,c(esk3_0)),esk2_0)))))|addition(multiplication(esk2_0,esk3_0),addition(multiplication(c(esk2_0),esk3_0),addition(c(addition(esk2_0,esk3_0)),addition(one,multiplication(addition(esk3_0,c(esk3_0)),esk2_0)))))!=one),inference(rw,[status(thm)],[213,41,theory(equality)])).
% cnf(215,negated_conjecture,(addition(multiplication(esk2_0,esk3_0),addition(multiplication(c(esk2_0),esk3_0),addition(c(addition(esk2_0,esk3_0)),addition(one,multiplication(addition(esk3_0,c(esk3_0)),esk2_0)))))!=one|addition(one,addition(multiplication(esk2_0,esk3_0),addition(multiplication(c(esk2_0),esk3_0),addition(c(addition(esk2_0,esk3_0)),multiplication(addition(esk3_0,c(esk3_0)),esk2_0)))))!=addition(multiplication(esk2_0,esk3_0),addition(multiplication(c(esk2_0),esk3_0),addition(c(addition(esk2_0,esk3_0)),multiplication(addition(esk3_0,c(esk3_0)),esk2_0))))),inference(spm,[status(thm)],[214,34,theory(equality)])).
% cnf(216,negated_conjecture,(~leq(one,addition(multiplication(esk2_0,esk3_0),addition(multiplication(c(esk2_0),esk3_0),addition(multiplication(c(esk2_0),c(esk3_0)),multiplication(addition(esk3_0,c(esk3_0)),esk2_0)))))|addition(multiplication(esk2_0,esk3_0),addition(multiplication(c(esk2_0),esk3_0),addition(multiplication(c(esk2_0),c(esk3_0)),addition(one,multiplication(addition(esk3_0,c(esk3_0)),esk2_0)))))!=one),inference(rw,[status(thm)],[211,41,theory(equality)])).
% cnf(218,negated_conjecture,(addition(multiplication(esk2_0,esk3_0),addition(multiplication(c(esk2_0),esk3_0),addition(multiplication(c(esk2_0),c(esk3_0)),addition(one,multiplication(addition(esk3_0,c(esk3_0)),esk2_0)))))!=one|addition(one,addition(multiplication(esk2_0,esk3_0),addition(multiplication(c(esk2_0),esk3_0),addition(multiplication(c(esk2_0),c(esk3_0)),multiplication(addition(esk3_0,c(esk3_0)),esk2_0)))))!=addition(multiplication(esk2_0,esk3_0),addition(multiplication(c(esk2_0),esk3_0),addition(multiplication(c(esk2_0),c(esk3_0)),multiplication(addition(esk3_0,c(esk3_0)),esk2_0))))),inference(spm,[status(thm)],[216,34,theory(equality)])).
% cnf(229,plain,(test(c(X1))|~test(X1)),inference(er,[status(thm)],[125,theory(equality)])).
% cnf(265,plain,(addition(multiplication(X1,X2),zero)=multiplication(X1,addition(X2,esk1_1(X1)))|~test(X1)),inference(spm,[status(thm)],[37,92,theory(equality)])).
% cnf(271,plain,(multiplication(X1,X2)=multiplication(X1,addition(X2,esk1_1(X1)))|~test(X1)),inference(rw,[status(thm)],[265,70,theory(equality)])).
% cnf(316,plain,(addition(X1,one)=one|~test(X1)),inference(spm,[status(thm)],[100,91,theory(equality)])).
% cnf(332,negated_conjecture,(addition(esk3_0,one)=one),inference(spm,[status(thm)],[316,80,theory(equality)])).
% cnf(333,negated_conjecture,(addition(esk2_0,one)=one),inference(spm,[status(thm)],[316,79,theory(equality)])).
% cnf(336,negated_conjecture,(addition(one,esk3_0)=one),inference(rw,[status(thm)],[332,41,theory(equality)])).
% cnf(337,negated_conjecture,(addition(one,X1)=addition(one,addition(esk3_0,X1))),inference(spm,[status(thm)],[43,336,theory(equality)])).
% cnf(340,negated_conjecture,(addition(one,esk2_0)=one),inference(rw,[status(thm)],[333,41,theory(equality)])).
% cnf(341,negated_conjecture,(addition(one,X1)=addition(one,addition(esk2_0,X1))),inference(spm,[status(thm)],[43,340,theory(equality)])).
% cnf(494,negated_conjecture,(addition(one,addition(X1,esk3_0))=addition(one,X1)),inference(spm,[status(thm)],[337,41,theory(equality)])).
% cnf(581,negated_conjecture,(addition(one,addition(multiplication(esk2_0,esk3_0),addition(multiplication(c(esk2_0),esk3_0),addition(c(addition(esk2_0,esk3_0)),multiplication(addition(esk3_0,c(esk3_0)),esk2_0)))))!=one|~leq(one,addition(multiplication(esk2_0,esk3_0),addition(multiplication(c(esk2_0),esk3_0),addition(c(addition(esk2_0,esk3_0)),multiplication(addition(esk3_0,c(esk3_0)),esk2_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)],[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)],[214,96,theory(equality)]),41,theory(equality)]),96,theory(equality)]),43,theory(equality)]),41,theory(equality)]),96,theory(equality)]),41,theory(equality)]),96,theory(equality)]),43,theory(equality)]),43,theory(equality)]),41,theory(equality)]),96,theory(equality)]),41,theory(equality)]),96,theory(equality)]),43,theory(equality)]),41,theory(equality)]),96,theory(equality)]),41,theory(equality)])).
% cnf(582,negated_conjecture,(addition(one,addition(multiplication(esk2_0,esk3_0),addition(multiplication(c(esk2_0),esk3_0),addition(c(addition(esk2_0,esk3_0)),multiplication(addition(esk3_0,c(esk3_0)),esk2_0)))))!=addition(multiplication(esk2_0,esk3_0),addition(multiplication(c(esk2_0),esk3_0),addition(c(addition(esk2_0,esk3_0)),multiplication(addition(esk3_0,c(esk3_0)),esk2_0))))|addition(one,addition(multiplication(esk2_0,esk3_0),addition(multiplication(c(esk2_0),esk3_0),addition(c(addition(esk2_0,esk3_0)),multiplication(addition(esk3_0,c(esk3_0)),esk2_0)))))!=one),inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[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)],[inference(rw,[status(thm)],[215,96,theory(equality)]),41,theory(equality)]),96,theory(equality)]),43,theory(equality)]),41,theory(equality)]),96,theory(equality)]),41,theory(equality)]),96,theory(equality)]),43,theory(equality)]),43,theory(equality)]),41,theory(equality)]),96,theory(equality)]),41,theory(equality)]),96,theory(equality)]),43,theory(equality)]),41,theory(equality)]),96,theory(equality)]),41,theory(equality)])).
% cnf(583,negated_conjecture,(addition(one,addition(multiplication(esk2_0,esk3_0),addition(multiplication(c(esk2_0),esk3_0),addition(multiplication(c(esk2_0),c(esk3_0)),multiplication(addition(esk3_0,c(esk3_0)),esk2_0)))))!=addition(multiplication(esk2_0,esk3_0),addition(multiplication(c(esk2_0),esk3_0),addition(multiplication(c(esk2_0),c(esk3_0)),multiplication(addition(esk3_0,c(esk3_0)),esk2_0))))|addition(one,addition(multiplication(esk2_0,esk3_0),addition(multiplication(c(esk2_0),esk3_0),addition(multiplication(c(esk2_0),c(esk3_0)),multiplication(addition(esk3_0,c(esk3_0)),esk2_0)))))!=one),inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[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)],[inference(rw,[status(thm)],[218,96,theory(equality)]),41,theory(equality)]),96,theory(equality)]),43,theory(equality)]),41,theory(equality)]),96,theory(equality)]),41,theory(equality)]),96,theory(equality)]),43,theory(equality)]),43,theory(equality)]),41,theory(equality)]),96,theory(equality)]),41,theory(equality)]),96,theory(equality)]),43,theory(equality)]),41,theory(equality)]),96,theory(equality)]),41,theory(equality)])).
% cnf(921,plain,(addition(c(X1),X1)=one|~test(X1)),inference(er,[status(thm)],[126,theory(equality)])).
% cnf(923,plain,(addition(X1,multiplication(X2,X2))=one|c(X2)!=X1|~test(multiplication(X2,X2))|~test(X2)),inference(spm,[status(thm)],[126,162,theory(equality)])).
% cnf(926,plain,(addition(X1,c(X1))=one|~test(X1)),inference(rw,[status(thm)],[921,41,theory(equality)])).
% cnf(932,negated_conjecture,(addition(one,addition(multiplication(esk2_0,esk3_0),addition(multiplication(c(esk2_0),esk3_0),addition(c(addition(esk2_0,esk3_0)),multiplication(one,esk2_0)))))!=one|~leq(one,addition(multiplication(esk2_0,esk3_0),addition(multiplication(c(esk2_0),esk3_0),addition(c(addition(esk2_0,esk3_0)),multiplication(one,esk2_0)))))|~test(esk3_0)),inference(spm,[status(thm)],[581,926,theory(equality)])).
% cnf(934,negated_conjecture,(addition(one,one)=addition(one,c(esk2_0))|~test(esk2_0)),inference(spm,[status(thm)],[341,926,theory(equality)])).
% cnf(935,plain,(one=c(zero)|~test(zero)),inference(spm,[status(thm)],[83,926,theory(equality)])).
% cnf(937,plain,(one=addition(X1,addition(X2,c(addition(X1,X2))))|~test(addition(X1,X2))),inference(spm,[status(thm)],[43,926,theory(equality)])).
% cnf(943,plain,(addition(X1,one)=addition(X2,addition(X1,c(X2)))|~test(X2)),inference(spm,[status(thm)],[106,926,theory(equality)])).
% cnf(968,negated_conjecture,(addition(one,addition(multiplication(esk2_0,esk3_0),addition(multiplication(c(esk2_0),esk3_0),addition(c(addition(esk2_0,esk3_0)),esk2_0))))!=one|~leq(one,addition(multiplication(esk2_0,esk3_0),addition(multiplication(c(esk2_0),esk3_0),addition(c(addition(esk2_0,esk3_0)),multiplication(one,esk2_0)))))|~test(esk3_0)),inference(rw,[status(thm)],[932,31,theory(equality)])).
% cnf(969,negated_conjecture,(addition(one,addition(multiplication(esk2_0,esk3_0),addition(multiplication(c(esk2_0),esk3_0),addition(c(addition(esk2_0,esk3_0)),esk2_0))))!=one|~leq(one,addition(multiplication(esk2_0,esk3_0),addition(multiplication(c(esk2_0),esk3_0),addition(c(addition(esk2_0,esk3_0)),esk2_0))))|~test(esk3_0)),inference(rw,[status(thm)],[968,31,theory(equality)])).
% cnf(970,negated_conjecture,(addition(one,addition(multiplication(esk2_0,esk3_0),addition(multiplication(c(esk2_0),esk3_0),addition(c(addition(esk2_0,esk3_0)),esk2_0))))!=one|~leq(one,addition(multiplication(esk2_0,esk3_0),addition(multiplication(c(esk2_0),esk3_0),addition(c(addition(esk2_0,esk3_0)),esk2_0))))|$false),inference(rw,[status(thm)],[969,80,theory(equality)])).
% cnf(971,negated_conjecture,(addition(one,addition(multiplication(esk2_0,esk3_0),addition(multiplication(c(esk2_0),esk3_0),addition(c(addition(esk2_0,esk3_0)),esk2_0))))!=one|~leq(one,addition(multiplication(esk2_0,esk3_0),addition(multiplication(c(esk2_0),esk3_0),addition(c(addition(esk2_0,esk3_0)),esk2_0))))),inference(cn,[status(thm)],[970,theory(equality)])).
% cnf(977,negated_conjecture,(one=addition(one,c(esk2_0))|~test(esk2_0)),inference(rw,[status(thm)],[934,45,theory(equality)])).
% cnf(978,negated_conjecture,(one=addition(one,c(esk2_0))|$false),inference(rw,[status(thm)],[977,79,theory(equality)])).
% cnf(979,negated_conjecture,(one=addition(one,c(esk2_0))),inference(cn,[status(thm)],[978,theory(equality)])).
% cnf(995,negated_conjecture,(addition(one,addition(multiplication(esk2_0,esk3_0),addition(multiplication(c(esk2_0),esk3_0),c(addition(esk2_0,esk3_0)))))!=one|~leq(one,addition(multiplication(esk2_0,esk3_0),addition(multiplication(c(esk2_0),esk3_0),addition(c(addition(esk2_0,esk3_0)),esk2_0))))),inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[971,41,theory(equality)]),106,theory(equality)]),106,theory(equality)]),341,theory(equality)])).
% cnf(996,negated_conjecture,(addition(one,addition(multiplication(esk2_0,esk3_0),addition(multiplication(c(esk2_0),esk3_0),c(addition(esk2_0,esk3_0)))))!=one|~leq(one,addition(esk2_0,addition(multiplication(esk2_0,esk3_0),addition(multiplication(c(esk2_0),esk3_0),c(addition(esk2_0,esk3_0))))))),inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[995,41,theory(equality)]),106,theory(equality)]),106,theory(equality)])).
% cnf(1033,plain,(multiplication(c(X1),X1)=zero|~test(X1)),inference(er,[status(thm)],[127,theory(equality)])).
% cnf(1119,plain,(multiplication(X1,c(X1))=zero|~test(X1)),inference(er,[status(thm)],[128,theory(equality)])).
% cnf(1197,plain,(zero=c(one)|~test(one)),inference(spm,[status(thm)],[29,1033,theory(equality)])).
% cnf(1198,plain,(multiplication(zero,X2)=multiplication(c(X1),multiplication(X1,X2))|~test(X1)),inference(spm,[status(thm)],[47,1033,theory(equality)])).
% cnf(1199,plain,(addition(zero,multiplication(c(X1),X2))=multiplication(c(X1),addition(X1,X2))|~test(X1)),inference(spm,[status(thm)],[37,1033,theory(equality)])).
% cnf(1209,plain,(zero=multiplication(c(X1),multiplication(X1,X2))|~test(X1)),inference(rw,[status(thm)],[1198,74,theory(equality)])).
% cnf(1210,plain,(multiplication(c(X1),X2)=multiplication(c(X1),addition(X1,X2))|~test(X1)),inference(rw,[status(thm)],[1199,83,theory(equality)])).
% cnf(1222,plain,(c(one)=zero),inference(csr,[status(thm)],[1197,50])).
% cnf(1226,plain,(test(zero)|~test(one)),inference(spm,[status(thm)],[229,1222,theory(equality)])).
% cnf(1233,plain,(addition(X1,one)=one|zero!=X1|~test(one)),inference(spm,[status(thm)],[126,1222,theory(equality)])).
% cnf(1234,plain,(test(X1)|zero!=X1|~test(one)),inference(spm,[status(thm)],[125,1222,theory(equality)])).
% cnf(1249,plain,(c(zero)=one|~test(one)),inference(spm,[status(thm)],[935,1226,theory(equality)])).
% cnf(1260,plain,(multiplication(zero,X2)=multiplication(X1,multiplication(c(X1),X2))|~test(X1)),inference(spm,[status(thm)],[47,1119,theory(equality)])).
% cnf(1271,plain,(zero=multiplication(X1,multiplication(c(X1),X2))|~test(X1)),inference(rw,[status(thm)],[1260,74,theory(equality)])).
% cnf(1332,negated_conjecture,(addition(one,addition(multiplication(esk2_0,esk3_0),addition(multiplication(addition(esk3_0,c(esk3_0)),esk2_0),multiplication(c(esk2_0),addition(esk3_0,c(esk3_0))))))!=addition(multiplication(esk2_0,esk3_0),addition(multiplication(c(esk2_0),esk3_0),addition(multiplication(c(esk2_0),c(esk3_0)),multiplication(addition(esk3_0,c(esk3_0)),esk2_0))))|addition(one,addition(multiplication(esk2_0,esk3_0),addition(multiplication(c(esk2_0),esk3_0),addition(multiplication(c(esk2_0),c(esk3_0)),multiplication(addition(esk3_0,c(esk3_0)),esk2_0)))))!=one),inference(rw,[status(thm)],[inference(rw,[status(thm)],[583,133,theory(equality)]),41,theory(equality)])).
% cnf(1333,negated_conjecture,(addition(one,addition(multiplication(esk2_0,esk3_0),addition(multiplication(addition(esk3_0,c(esk3_0)),esk2_0),multiplication(c(esk2_0),addition(esk3_0,c(esk3_0))))))!=addition(multiplication(esk2_0,esk3_0),addition(multiplication(addition(esk3_0,c(esk3_0)),esk2_0),multiplication(c(esk2_0),addition(esk3_0,c(esk3_0)))))|addition(one,addition(multiplication(esk2_0,esk3_0),addition(multiplication(c(esk2_0),esk3_0),addition(multiplication(c(esk2_0),c(esk3_0)),multiplication(addition(esk3_0,c(esk3_0)),esk2_0)))))!=one),inference(rw,[status(thm)],[inference(rw,[status(thm)],[1332,133,theory(equality)]),41,theory(equality)])).
% cnf(1334,negated_conjecture,(addition(one,addition(multiplication(esk2_0,esk3_0),addition(multiplication(addition(esk3_0,c(esk3_0)),esk2_0),multiplication(c(esk2_0),addition(esk3_0,c(esk3_0))))))!=addition(multiplication(esk2_0,esk3_0),addition(multiplication(addition(esk3_0,c(esk3_0)),esk2_0),multiplication(c(esk2_0),addition(esk3_0,c(esk3_0)))))|addition(one,addition(multiplication(esk2_0,esk3_0),addition(multiplication(addition(esk3_0,c(esk3_0)),esk2_0),multiplication(c(esk2_0),addition(esk3_0,c(esk3_0))))))!=one),inference(rw,[status(thm)],[inference(rw,[status(thm)],[1333,133,theory(equality)]),41,theory(equality)])).
% cnf(1563,plain,(addition(X1,multiplication(X1,X2))=multiplication(X1,addition(X2,one))),inference(rw,[status(thm)],[139,41,theory(equality)])).
% cnf(2706,negated_conjecture,(addition(one,addition(c(addition(esk2_0,esk3_0)),addition(multiplication(addition(esk2_0,c(esk2_0)),esk3_0),multiplication(addition(esk3_0,c(esk3_0)),esk2_0))))!=addition(multiplication(esk2_0,esk3_0),addition(multiplication(c(esk2_0),esk3_0),addition(c(addition(esk2_0,esk3_0)),multiplication(addition(esk3_0,c(esk3_0)),esk2_0))))|addition(one,addition(multiplication(esk2_0,esk3_0),addition(multiplication(c(esk2_0),esk3_0),addition(c(addition(esk2_0,esk3_0)),multiplication(addition(esk3_0,c(esk3_0)),esk2_0)))))!=one),inference(rw,[status(thm)],[inference(rw,[status(thm)],[582,171,theory(equality)]),106,theory(equality)])).
% cnf(2707,negated_conjecture,(addition(one,addition(c(addition(esk2_0,esk3_0)),addition(multiplication(addition(esk2_0,c(esk2_0)),esk3_0),multiplication(addition(esk3_0,c(esk3_0)),esk2_0))))!=addition(c(addition(esk2_0,esk3_0)),addition(multiplication(addition(esk2_0,c(esk2_0)),esk3_0),multiplication(addition(esk3_0,c(esk3_0)),esk2_0)))|addition(one,addition(multiplication(esk2_0,esk3_0),addition(multiplication(c(esk2_0),esk3_0),addition(c(addition(esk2_0,esk3_0)),multiplication(addition(esk3_0,c(esk3_0)),esk2_0)))))!=one),inference(rw,[status(thm)],[inference(rw,[status(thm)],[2706,171,theory(equality)]),106,theory(equality)])).
% cnf(2708,negated_conjecture,(addition(one,addition(c(addition(esk2_0,esk3_0)),addition(multiplication(addition(esk2_0,c(esk2_0)),esk3_0),multiplication(addition(esk3_0,c(esk3_0)),esk2_0))))!=addition(c(addition(esk2_0,esk3_0)),addition(multiplication(addition(esk2_0,c(esk2_0)),esk3_0),multiplication(addition(esk3_0,c(esk3_0)),esk2_0)))|addition(one,addition(c(addition(esk2_0,esk3_0)),addition(multiplication(addition(esk2_0,c(esk2_0)),esk3_0),multiplication(addition(esk3_0,c(esk3_0)),esk2_0))))!=one),inference(rw,[status(thm)],[inference(rw,[status(thm)],[2707,171,theory(equality)]),106,theory(equality)])).
% cnf(2714,negated_conjecture,(addition(one,addition(c(addition(esk2_0,esk3_0)),multiplication(addition(esk2_0,c(esk2_0)),esk3_0)))!=one|~leq(one,addition(esk2_0,addition(multiplication(esk2_0,esk3_0),addition(multiplication(c(esk2_0),esk3_0),c(addition(esk2_0,esk3_0))))))),inference(rw,[status(thm)],[inference(rw,[status(thm)],[996,171,theory(equality)]),41,theory(equality)])).
% cnf(2715,negated_conjecture,(addition(one,addition(c(addition(esk2_0,esk3_0)),multiplication(addition(esk2_0,c(esk2_0)),esk3_0)))!=one|~leq(one,addition(esk2_0,addition(c(addition(esk2_0,esk3_0)),multiplication(addition(esk2_0,c(esk2_0)),esk3_0))))),inference(rw,[status(thm)],[inference(rw,[status(thm)],[2714,171,theory(equality)]),41,theory(equality)])).
% cnf(2771,negated_conjecture,(addition(one,addition(c(addition(esk2_0,esk3_0)),multiplication(one,esk3_0)))!=one|~leq(one,addition(esk2_0,addition(c(addition(esk2_0,esk3_0)),multiplication(one,esk3_0))))|~test(esk2_0)),inference(spm,[status(thm)],[2715,926,theory(equality)])).
% cnf(2777,negated_conjecture,(addition(one,c(addition(esk2_0,esk3_0)))!=one|~leq(one,addition(esk2_0,addition(c(addition(esk2_0,esk3_0)),multiplication(one,esk3_0))))|~test(esk2_0)),inference(rw,[status(thm)],[inference(rw,[status(thm)],[2771,31,theory(equality)]),494,theory(equality)])).
% cnf(2778,negated_conjecture,(addition(one,c(addition(esk2_0,esk3_0)))!=one|~leq(one,addition(esk2_0,addition(c(addition(esk2_0,esk3_0)),esk3_0)))|~test(esk2_0)),inference(rw,[status(thm)],[2777,31,theory(equality)])).
% cnf(2779,negated_conjecture,(addition(one,c(addition(esk2_0,esk3_0)))!=one|~leq(one,addition(esk2_0,addition(c(addition(esk2_0,esk3_0)),esk3_0)))|$false),inference(rw,[status(thm)],[2778,79,theory(equality)])).
% cnf(2780,negated_conjecture,(addition(one,c(addition(esk2_0,esk3_0)))!=one|~leq(one,addition(esk2_0,addition(c(addition(esk2_0,esk3_0)),esk3_0)))),inference(cn,[status(thm)],[2779,theory(equality)])).
% cnf(2785,negated_conjecture,(addition(one,c(addition(esk2_0,esk3_0)))!=one|~leq(one,addition(esk2_0,addition(esk3_0,c(addition(esk2_0,esk3_0)))))),inference(rw,[status(thm)],[2780,41,theory(equality)])).
% cnf(2787,negated_conjecture,(addition(one,c(addition(esk2_0,esk3_0)))!=one|addition(one,addition(esk2_0,addition(esk3_0,c(addition(esk2_0,esk3_0)))))!=addition(esk2_0,addition(esk3_0,c(addition(esk2_0,esk3_0))))),inference(spm,[status(thm)],[2785,34,theory(equality)])).
% cnf(2792,negated_conjecture,(addition(one,c(addition(esk2_0,esk3_0)))!=one|addition(one,c(addition(esk2_0,esk3_0)))!=addition(esk2_0,addition(esk3_0,c(addition(esk2_0,esk3_0))))),inference(rw,[status(thm)],[inference(rw,[status(thm)],[2787,341,theory(equality)]),337,theory(equality)])).
% cnf(2968,plain,(addition(X2,multiplication(X1,X2))=multiplication(addition(X1,one),X2)),inference(rw,[status(thm)],[175,41,theory(equality)])).
% cnf(3965,plain,(test(X1)|X1!=one|multiplication(X1,zero)!=zero|multiplication(zero,X1)!=zero),inference(spm,[status(thm)],[201,70,theory(equality)])).
% cnf(4049,plain,(test(X1)|X1!=one|$false|multiplication(zero,X1)!=zero),inference(rw,[status(thm)],[3965,72,theory(equality)])).
% cnf(4050,plain,(test(X1)|X1!=one|$false|$false),inference(rw,[status(thm)],[4049,74,theory(equality)])).
% cnf(4051,plain,(test(X1)|X1!=one),inference(cn,[status(thm)],[4050,theory(equality)])).
% cnf(4066,plain,(c(zero)=one),inference(spm,[status(thm)],[1249,4051,theory(equality)])).
% cnf(4071,plain,(addition(X1,one)=one|X1!=one),inference(spm,[status(thm)],[316,4051,theory(equality)])).
% cnf(4080,plain,(test(one)|~test(zero)),inference(spm,[status(thm)],[229,4066,theory(equality)])).
% cnf(4135,plain,(test(one)|c(zero)=zero),inference(spm,[status(thm)],[4080,50,theory(equality)])).
% cnf(4136,plain,(test(one)|zero!=one),inference(spm,[status(thm)],[4080,4051,theory(equality)])).
% cnf(4138,plain,(test(one)|one=zero),inference(rw,[status(thm)],[4135,4066,theory(equality)])).
% cnf(4143,plain,(test(one)),inference(csr,[status(thm)],[4136,4138])).
% cnf(4154,plain,(addition(X1,one)=one|zero!=X1|$false),inference(rw,[status(thm)],[1233,4143,theory(equality)])).
% cnf(4155,plain,(addition(X1,one)=one|zero!=X1),inference(cn,[status(thm)],[4154,theory(equality)])).
% cnf(4156,plain,(test(X1)|zero!=X1|$false),inference(rw,[status(thm)],[1234,4143,theory(equality)])).
% cnf(4157,plain,(test(X1)|zero!=X1),inference(cn,[status(thm)],[4156,theory(equality)])).
% cnf(4268,plain,(one=addition(one,X1)|X1!=one),inference(spm,[status(thm)],[41,4071,theory(equality)])).
% cnf(4356,negated_conjecture,(one!=addition(multiplication(esk2_0,esk3_0),addition(multiplication(addition(esk3_0,c(esk3_0)),esk2_0),multiplication(c(esk2_0),addition(esk3_0,c(esk3_0)))))),inference(spm,[status(thm)],[1334,4268,theory(equality)])).
% cnf(4357,negated_conjecture,(one!=addition(c(addition(esk2_0,esk3_0)),addition(multiplication(addition(esk2_0,c(esk2_0)),esk3_0),multiplication(addition(esk3_0,c(esk3_0)),esk2_0)))),inference(spm,[status(thm)],[2708,4268,theory(equality)])).
% cnf(4395,negated_conjecture,(addition(multiplication(esk2_0,esk3_0),addition(multiplication(one,esk2_0),multiplication(c(esk2_0),one)))!=one|~test(esk3_0)),inference(spm,[status(thm)],[4356,926,theory(equality)])).
% cnf(4401,negated_conjecture,(addition(esk2_0,addition(multiplication(esk2_0,esk3_0),c(esk2_0)))!=one|~test(esk3_0)),inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[4395,31,theory(equality)]),29,theory(equality)]),106,theory(equality)])).
% cnf(4402,negated_conjecture,(addition(esk2_0,addition(multiplication(esk2_0,esk3_0),c(esk2_0)))!=one|$false),inference(rw,[status(thm)],[4401,80,theory(equality)])).
% cnf(4403,negated_conjecture,(addition(esk2_0,addition(multiplication(esk2_0,esk3_0),c(esk2_0)))!=one),inference(cn,[status(thm)],[4402,theory(equality)])).
% cnf(4653,plain,(one=addition(one,X1)|zero!=X1),inference(spm,[status(thm)],[41,4155,theory(equality)])).
% cnf(4695,negated_conjecture,(addition(c(addition(esk2_0,esk3_0)),addition(multiplication(addition(esk2_0,c(esk2_0)),esk3_0),multiplication(one,esk2_0)))!=one|~test(esk3_0)),inference(spm,[status(thm)],[4357,926,theory(equality)])).
% cnf(4701,negated_conjecture,(addition(esk2_0,addition(c(addition(esk2_0,esk3_0)),multiplication(addition(esk2_0,c(esk2_0)),esk3_0)))!=one|~test(esk3_0)),inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[4695,31,theory(equality)]),41,theory(equality)]),106,theory(equality)])).
% cnf(4702,negated_conjecture,(addition(esk2_0,addition(c(addition(esk2_0,esk3_0)),multiplication(addition(esk2_0,c(esk2_0)),esk3_0)))!=one|$false),inference(rw,[status(thm)],[4701,80,theory(equality)])).
% cnf(4703,negated_conjecture,(addition(esk2_0,addition(c(addition(esk2_0,esk3_0)),multiplication(addition(esk2_0,c(esk2_0)),esk3_0)))!=one),inference(cn,[status(thm)],[4702,theory(equality)])).
% cnf(4712,negated_conjecture,(addition(esk2_0,addition(c(addition(esk2_0,esk3_0)),multiplication(one,esk3_0)))!=one|~test(esk2_0)),inference(spm,[status(thm)],[4703,926,theory(equality)])).
% cnf(4716,negated_conjecture,(addition(esk2_0,addition(esk3_0,c(addition(esk2_0,esk3_0))))!=one|~test(esk2_0)),inference(rw,[status(thm)],[inference(rw,[status(thm)],[4712,31,theory(equality)]),41,theory(equality)])).
% cnf(4717,negated_conjecture,(addition(esk2_0,addition(esk3_0,c(addition(esk2_0,esk3_0))))!=one|$false),inference(rw,[status(thm)],[4716,79,theory(equality)])).
% cnf(4718,negated_conjecture,(addition(esk2_0,addition(esk3_0,c(addition(esk2_0,esk3_0))))!=one),inference(cn,[status(thm)],[4717,theory(equality)])).
% cnf(4801,plain,(c(X1)=zero|X1!=one|multiplication(zero,X1)!=zero|multiplication(X1,zero)!=zero|~test(X1)),inference(spm,[status(thm)],[204,83,theory(equality)])).
% cnf(4851,plain,(c(X1)=zero|X1!=one|$false|multiplication(X1,zero)!=zero|~test(X1)),inference(rw,[status(thm)],[4801,74,theory(equality)])).
% cnf(4852,plain,(c(X1)=zero|X1!=one|$false|$false|~test(X1)),inference(rw,[status(thm)],[4851,72,theory(equality)])).
% cnf(4853,plain,(c(X1)=zero|X1!=one|~test(X1)),inference(cn,[status(thm)],[4852,theory(equality)])).
% cnf(6006,plain,(c(X1)=zero|X1!=one),inference(csr,[status(thm)],[4853,50])).
% cnf(6047,negated_conjecture,(addition(esk2_0,addition(multiplication(esk2_0,esk3_0),zero))!=one|esk2_0!=one),inference(spm,[status(thm)],[4403,6006,theory(equality)])).
% cnf(6070,negated_conjecture,(addition(esk2_0,addition(esk3_0,zero))!=addition(one,zero)|addition(one,zero)!=one|addition(esk2_0,esk3_0)!=one),inference(spm,[status(thm)],[2792,6006,theory(equality)])).
% cnf(6176,negated_conjecture,(esk2_0!=one|esk2_0!=one),inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[6047,70,theory(equality)]),1563,theory(equality)]),41,theory(equality)]),336,theory(equality)]),29,theory(equality)])).
% cnf(6177,negated_conjecture,(esk2_0!=one),inference(cn,[status(thm)],[6176,theory(equality)])).
% cnf(6210,negated_conjecture,(addition(esk2_0,esk3_0)!=addition(one,zero)|addition(one,zero)!=one|addition(esk2_0,esk3_0)!=one),inference(rw,[status(thm)],[6070,70,theory(equality)])).
% cnf(6211,negated_conjecture,(addition(esk2_0,esk3_0)!=one|addition(one,zero)!=one|addition(esk2_0,esk3_0)!=one),inference(rw,[status(thm)],[6210,70,theory(equality)])).
% cnf(6212,negated_conjecture,(addition(esk2_0,esk3_0)!=one|$false|addition(esk2_0,esk3_0)!=one),inference(rw,[status(thm)],[6211,70,theory(equality)])).
% cnf(6213,negated_conjecture,(addition(esk2_0,esk3_0)!=one),inference(cn,[status(thm)],[6212,theory(equality)])).
% cnf(7402,plain,(c(X1)=one|multiplication(one,X1)!=zero|multiplication(X1,one)!=zero|~test(X1)|zero!=X1),inference(spm,[status(thm)],[204,4653,theory(equality)])).
% cnf(7463,plain,(c(X1)=one|X1!=zero|multiplication(X1,one)!=zero|~test(X1)|zero!=X1),inference(rw,[status(thm)],[7402,31,theory(equality)])).
% cnf(7464,plain,(c(X1)=one|X1!=zero|X1!=zero|~test(X1)|zero!=X1),inference(rw,[status(thm)],[7463,29,theory(equality)])).
% cnf(7465,plain,(c(X1)=one|X1!=zero|~test(X1)),inference(cn,[status(thm)],[7464,theory(equality)])).
% cnf(7512,plain,(multiplication(X1,one)=multiplication(X1,X1)|~test(X1)),inference(spm,[status(thm)],[271,91,theory(equality)])).
% cnf(7541,plain,(X1=multiplication(X1,X1)|~test(X1)),inference(rw,[status(thm)],[7512,29,theory(equality)])).
% cnf(7545,negated_conjecture,(multiplication(esk3_0,esk3_0)=esk3_0),inference(spm,[status(thm)],[7541,80,theory(equality)])).
% cnf(8464,plain,(c(X1)=one|X1!=zero),inference(csr,[status(thm)],[7465,4157])).
% cnf(18564,negated_conjecture,(multiplication(c(esk3_0),esk3_0)=zero|~test(esk3_0)),inference(spm,[status(thm)],[1209,7545,theory(equality)])).
% cnf(18668,negated_conjecture,(multiplication(c(esk3_0),esk3_0)=zero|$false),inference(rw,[status(thm)],[18564,80,theory(equality)])).
% cnf(18669,negated_conjecture,(multiplication(c(esk3_0),esk3_0)=zero),inference(cn,[status(thm)],[18668,theory(equality)])).
% cnf(23778,negated_conjecture,(addition(X1,esk3_0)=one|c(esk3_0)!=X1|~test(esk3_0)),inference(spm,[status(thm)],[923,7545,theory(equality)])).
% cnf(23794,negated_conjecture,(addition(X1,esk3_0)=one|c(esk3_0)!=X1|$false),inference(rw,[status(thm)],[23778,80,theory(equality)])).
% cnf(23795,negated_conjecture,(addition(X1,esk3_0)=one|c(esk3_0)!=X1),inference(cn,[status(thm)],[23794,theory(equality)])).
% cnf(23834,negated_conjecture,(addition(c(esk3_0),esk3_0)=one),inference(er,[status(thm)],[23795,theory(equality)])).
% cnf(23843,negated_conjecture,(addition(esk3_0,c(esk3_0))=one),inference(rw,[status(thm)],[23834,41,theory(equality)])).
% cnf(23858,negated_conjecture,(c(c(esk3_0))=esk3_0|multiplication(esk3_0,c(esk3_0))!=zero|multiplication(c(esk3_0),esk3_0)!=zero|~test(c(esk3_0))),inference(spm,[status(thm)],[204,23843,theory(equality)])).
% cnf(23970,negated_conjecture,(c(c(esk3_0))=esk3_0|multiplication(esk3_0,c(esk3_0))!=zero|$false|~test(c(esk3_0))),inference(rw,[status(thm)],[23858,18669,theory(equality)])).
% cnf(23971,negated_conjecture,(c(c(esk3_0))=esk3_0|multiplication(esk3_0,c(esk3_0))!=zero|~test(c(esk3_0))),inference(cn,[status(thm)],[23970,theory(equality)])).
% cnf(24026,negated_conjecture,(c(c(esk3_0))=esk3_0|multiplication(esk3_0,c(esk3_0))!=zero|~test(esk3_0)),inference(spm,[status(thm)],[23971,229,theory(equality)])).
% cnf(24050,negated_conjecture,(c(c(esk3_0))=esk3_0|multiplication(esk3_0,c(esk3_0))!=zero|$false),inference(rw,[status(thm)],[24026,80,theory(equality)])).
% cnf(24051,negated_conjecture,(c(c(esk3_0))=esk3_0|multiplication(esk3_0,c(esk3_0))!=zero),inference(cn,[status(thm)],[24050,theory(equality)])).
% cnf(24914,negated_conjecture,(~test(addition(esk2_0,esk3_0))),inference(spm,[status(thm)],[4718,937,theory(equality)])).
% cnf(25329,negated_conjecture,(c(addition(esk2_0,esk3_0))=zero),inference(spm,[status(thm)],[24914,50,theory(equality)])).
% cnf(25375,negated_conjecture,(addition(zero,multiplication(c(esk2_0),X1))=multiplication(c(esk2_0),addition(c(esk3_0),X1))|~test(esk3_0)|~test(esk2_0)),inference(spm,[status(thm)],[167,25329,theory(equality)])).
% cnf(25461,negated_conjecture,(multiplication(c(esk2_0),X1)=multiplication(c(esk2_0),addition(c(esk3_0),X1))|~test(esk3_0)|~test(esk2_0)),inference(rw,[status(thm)],[25375,83,theory(equality)])).
% cnf(25462,negated_conjecture,(multiplication(c(esk2_0),X1)=multiplication(c(esk2_0),addition(c(esk3_0),X1))|$false|~test(esk2_0)),inference(rw,[status(thm)],[25461,80,theory(equality)])).
% cnf(25463,negated_conjecture,(multiplication(c(esk2_0),X1)=multiplication(c(esk2_0),addition(c(esk3_0),X1))|$false|$false),inference(rw,[status(thm)],[25462,79,theory(equality)])).
% cnf(25464,negated_conjecture,(multiplication(c(esk2_0),X1)=multiplication(c(esk2_0),addition(c(esk3_0),X1))),inference(cn,[status(thm)],[25463,theory(equality)])).
% cnf(25540,negated_conjecture,(multiplication(c(esk2_0),c(esk3_0))=multiplication(c(esk2_0),zero)),inference(spm,[status(thm)],[25464,70,theory(equality)])).
% cnf(25543,negated_conjecture,(multiplication(c(esk2_0),one)=multiplication(c(esk2_0),c(c(esk3_0)))|~test(c(esk3_0))),inference(spm,[status(thm)],[25464,926,theory(equality)])).
% cnf(25605,negated_conjecture,(multiplication(c(esk2_0),c(esk3_0))=zero),inference(rw,[status(thm)],[25540,72,theory(equality)])).
% cnf(25606,negated_conjecture,(c(esk2_0)=multiplication(c(esk2_0),c(c(esk3_0)))|~test(c(esk3_0))),inference(rw,[status(thm)],[25543,29,theory(equality)])).
% cnf(25674,negated_conjecture,(multiplication(c(esk2_0),one)=zero|esk3_0!=zero),inference(spm,[status(thm)],[25605,8464,theory(equality)])).
% cnf(25744,negated_conjecture,(c(esk2_0)=zero|esk3_0!=zero),inference(rw,[status(thm)],[25674,29,theory(equality)])).
% cnf(25777,negated_conjecture,(addition(esk2_0,zero)=one|~test(esk2_0)|esk3_0!=zero),inference(spm,[status(thm)],[926,25744,theory(equality)])).
% cnf(25896,negated_conjecture,(esk2_0=one|~test(esk2_0)|esk3_0!=zero),inference(rw,[status(thm)],[25777,70,theory(equality)])).
% cnf(25897,negated_conjecture,(esk2_0=one|$false|esk3_0!=zero),inference(rw,[status(thm)],[25896,79,theory(equality)])).
% cnf(25898,negated_conjecture,(esk2_0=one|esk3_0!=zero),inference(cn,[status(thm)],[25897,theory(equality)])).
% cnf(25899,negated_conjecture,(esk3_0!=zero),inference(sr,[status(thm)],[25898,6177,theory(equality)])).
% cnf(28820,negated_conjecture,(multiplication(c(esk3_0),one)=multiplication(c(esk3_0),c(esk3_0))|~test(esk3_0)),inference(spm,[status(thm)],[1210,23843,theory(equality)])).
% cnf(28969,negated_conjecture,(c(esk3_0)=multiplication(c(esk3_0),c(esk3_0))|~test(esk3_0)),inference(rw,[status(thm)],[28820,29,theory(equality)])).
% cnf(28970,negated_conjecture,(c(esk3_0)=multiplication(c(esk3_0),c(esk3_0))|$false),inference(rw,[status(thm)],[28969,80,theory(equality)])).
% cnf(28971,negated_conjecture,(c(esk3_0)=multiplication(c(esk3_0),c(esk3_0))),inference(cn,[status(thm)],[28970,theory(equality)])).
% cnf(29277,negated_conjecture,(multiplication(esk3_0,c(esk3_0))=zero|~test(esk3_0)),inference(spm,[status(thm)],[1271,28971,theory(equality)])).
% cnf(29314,negated_conjecture,(multiplication(esk3_0,c(esk3_0))=zero|$false),inference(rw,[status(thm)],[29277,80,theory(equality)])).
% cnf(29315,negated_conjecture,(multiplication(esk3_0,c(esk3_0))=zero),inference(cn,[status(thm)],[29314,theory(equality)])).
% cnf(29372,negated_conjecture,(c(c(esk3_0))=esk3_0|$false),inference(rw,[status(thm)],[24051,29315,theory(equality)])).
% cnf(29373,negated_conjecture,(c(c(esk3_0))=esk3_0),inference(cn,[status(thm)],[29372,theory(equality)])).
% cnf(40608,negated_conjecture,(multiplication(c(esk2_0),esk3_0)=c(esk2_0)|~test(c(esk3_0))),inference(rw,[status(thm)],[25606,29373,theory(equality)])).
% cnf(40614,negated_conjecture,(multiplication(c(esk2_0),esk3_0)=c(esk2_0)|c(c(esk3_0))=zero),inference(spm,[status(thm)],[40608,50,theory(equality)])).
% cnf(40633,negated_conjecture,(multiplication(c(esk2_0),esk3_0)=c(esk2_0)|esk3_0=zero),inference(rw,[status(thm)],[40614,29373,theory(equality)])).
% cnf(40634,negated_conjecture,(multiplication(c(esk2_0),esk3_0)=c(esk2_0)),inference(sr,[status(thm)],[40633,25899,theory(equality)])).
% cnf(40637,negated_conjecture,(addition(esk3_0,c(esk2_0))=multiplication(addition(c(esk2_0),one),esk3_0)),inference(spm,[status(thm)],[2968,40634,theory(equality)])).
% cnf(40685,negated_conjecture,(addition(esk3_0,c(esk2_0))=esk3_0),inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[40637,41,theory(equality)]),979,theory(equality)]),31,theory(equality)])).
% cnf(41280,negated_conjecture,(addition(esk2_0,esk3_0)=addition(esk3_0,one)|~test(esk2_0)),inference(spm,[status(thm)],[943,40685,theory(equality)])).
% cnf(41365,negated_conjecture,(addition(esk2_0,esk3_0)=one|~test(esk2_0)),inference(rw,[status(thm)],[inference(rw,[status(thm)],[41280,41,theory(equality)]),336,theory(equality)])).
% cnf(41366,negated_conjecture,(addition(esk2_0,esk3_0)=one|$false),inference(rw,[status(thm)],[41365,79,theory(equality)])).
% cnf(41367,negated_conjecture,(addition(esk2_0,esk3_0)=one),inference(cn,[status(thm)],[41366,theory(equality)])).
% cnf(41368,negated_conjecture,($false),inference(sr,[status(thm)],[41367,6213,theory(equality)])).
% cnf(41369,negated_conjecture,($false),41368,['proof']).
% # SZS output end CNFRefutation
% # Processed clauses                  : 2288
% # ...of these trivial                : 173
% # ...subsumed                        : 1600
% # ...remaining for further processing: 515
% # Other redundant clauses eliminated : 0
% # Clauses deleted for lack of memory : 0
% # Backward-subsumed                  : 29
% # Backward-rewritten                 : 113
% # Generated clauses                  : 19326
% # ...of the previous two non-trivial : 14230
% # Contextual simplify-reflections    : 360
% # Paramodulations                    : 19316
% # Factorizations                     : 3
% # Equation resolutions               : 7
% # Current number of processed clauses: 346
% #    Positive orientable unit clauses: 110
% #    Positive unorientable unit clauses: 6
% #    Negative unit clauses           : 20
% #    Non-unit-clauses                : 210
% # Current number of unprocessed clauses: 10929
% # ...number of literals in the above : 27049
% # Clause-clause subsumption calls (NU) : 10683
% # Rec. Clause-clause subsumption calls : 9369
% # Unit Clause-clause subsumption calls : 472
% # Rewrite failures with RHS unbound  : 0
% # Indexed BW rewrite attempts        : 342
% # Indexed BW rewrite successes       : 204
% # Backwards rewriting index:   258 leaves,   1.51+/-1.365 terms/leaf
% # Paramod-from index:          175 leaves,   1.20+/-0.605 terms/leaf
% # Paramod-into index:          235 leaves,   1.43+/-1.166 terms/leaf
% # -------------------------------------------------
% # User time              : 0.603 s
% # System time            : 0.023 s
% # Total time             : 0.626 s
% # Maximum resident set size: 0 pages
% PrfWatch: 1.23 CPU 1.35 WC
% FINAL PrfWatch: 1.23 CPU 1.35 WC
% SZS output end Solution for /tmp/SystemOnTPTP19289/KLE010+4.tptp
% 
%------------------------------------------------------------------------------