%------------------------------------------------------------------------------
% File     : SRASS---0.1
% Problem  : KLE016+2 : TPTP v5.0.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp
% Command  : SRASS -q2 -a 0 10 10 10 -i3 -n60 %s

% Computer : art04.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 07:33:00 EST 2010

% Result   : Theorem 159.23s
% Output   : Solution 280.02s
% 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/SystemOnTPTP9039/KLE016+2.tptp
% Adding relevance values
% Extracting the conjecture
% Sorting axioms by relevance
% Looking for THM       ... 
% not found
% Adding ~C to TBU       ... ~goals:
% ---- Iteration 1 (0 axioms selected)
% Looking for TBU SAT   ... 
% yes
% Looking for TBU model ...
%  not found
% Looking for CSA axiom ... additive_commutativity:
%  CSA axiom additive_commutativity found
% Looking for CSA axiom ... additive_associativity:
%  CSA axiom additive_associativity found
% Looking for CSA axiom ... additive_idempotence:
%  CSA axiom additive_idempotence found
% ---- Iteration 2 (3 axioms selected)
% Looking for TBU SAT   ... 
% yes
% Looking for TBU model ...
%  not found
% Looking for CSA axiom ... multiplicative_associativity: CSA axiom multiplicative_associativity found
% Looking for CSA axiom ... right_distributivity:
%  CSA axiom right_distributivity found
% Looking for CSA axiom ... left_distributivity:
%  CSA axiom left_distributivity found
% ---- Iteration 3 (6 axioms selected)
% Looking for TBU SAT   ... 
% yes
% Looking for TBU model ...
%  not found
% Looking for CSA axiom ... test_4:
%  CSA axiom test_4 found
% Looking for CSA axiom ... test_3:
%  CSA axiom test_3 found
% Looking for CSA axiom ... test_1:
%  CSA axiom test_1 found
% ---- Iteration 4 (9 axioms selected)
% Looking for TBU SAT   ... 
% yes
% Looking for TBU model ...
%  not found
% Looking for CSA axiom ... additive_identity:
%  CSA axiom additive_identity found
% Looking for CSA axiom ... right_annihilation: CSA axiom right_annihilation found
% Looking for CSA axiom ... left_annihilation:
%  CSA axiom left_annihilation found
% ---- Iteration 5 (12 axioms selected)
% Looking for TBU SAT   ... 
% yes
% Looking for TBU model ...
%  not found
% Looking for CSA axiom ... multiplicative_right_identity:
%  CSA axiom multiplicative_right_identity found
% Looking for CSA axiom ... multiplicative_left_identity:
%  CSA axiom multiplicative_left_identity found
% Looking for CSA axiom ... order:
%  CSA axiom order found
% ---- Iteration 6 (15 axioms selected)
% Looking for TBU SAT   ... 
% yes
% Looking for TBU model ...
%  not found
% Looking for CSA axiom ... test_2:
%  CSA axiom test_2 found
% ---- Selection completed
% Looking for TBU SAT   ... 
% no
% Looking for TBU UNS   ... 
% yes - theorem proved
% Selected axioms are   ... :test_2:order:multiplicative_left_identity:multiplicative_right_identity:left_annihilation:right_annihilation:additive_identity:test_1:test_3:test_4:left_distributivity:right_distributivity:multiplicative_associativity:additive_idempotence:additive_associativity:additive_commutativity (16)
% Unselected axioms are ...  (0)
% SZS status THM for /tmp/SystemOnTPTP9039/KLE016+2.tptp
% Looking for THM       ... 
% found
% SZS output start Solution for /tmp/SystemOnTPTP9039/KLE016+2.tptp
% TreeLimitedRun: ----------------------------------------------------------
% TreeLimitedRun: /home/graph/tptp/Systems/EP---1.2/eproof --print-statistics -xAuto -tAuto --cpu-limit=600 --proof-time-unlimited --memory-limit=Auto --tstp-in --tstp-out /tmp/SRASS.s.p 
% TreeLimitedRun: CPU time limit is 600s
% TreeLimitedRun: WC  time limit is 1200s
% TreeLimitedRun: PID is 11886
% TreeLimitedRun: ----------------------------------------------------------
% PrfWatch: 0.00 CPU 0.00 WC
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% # Preprocessing time     : 0.012 s
% # Problem is unsatisfiable (or provable), constructing proof object
% # SZS status Theorem
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% # SZS output start CNFRefutation.
% fof(1, 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(2, axiom,![X3]:![X4]:(leq(X3,X4)<=>addition(X3,X4)=X4),file('/tmp/SRASS.s.p', order)).
% fof(3, axiom,![X3]:multiplication(one,X3)=X3,file('/tmp/SRASS.s.p', multiplicative_left_identity)).
% fof(4, axiom,![X3]:multiplication(X3,one)=X3,file('/tmp/SRASS.s.p', multiplicative_right_identity)).
% fof(5, axiom,![X3]:multiplication(zero,X3)=zero,file('/tmp/SRASS.s.p', left_annihilation)).
% fof(6, axiom,![X3]:multiplication(X3,zero)=zero,file('/tmp/SRASS.s.p', right_annihilation)).
% fof(7, axiom,![X3]:addition(X3,zero)=X3,file('/tmp/SRASS.s.p', additive_identity)).
% fof(8, axiom,![X1]:(test(X1)<=>?[X2]:complement(X2,X1)),file('/tmp/SRASS.s.p', test_1)).
% fof(9, axiom,![X1]:![X2]:(test(X1)=>(c(X1)=X2<=>complement(X1,X2))),file('/tmp/SRASS.s.p', test_3)).
% fof(11, axiom,![X3]:![X4]:![X5]:multiplication(addition(X3,X4),X5)=addition(multiplication(X3,X5),multiplication(X4,X5)),file('/tmp/SRASS.s.p', left_distributivity)).
% fof(12, axiom,![X3]:![X4]:![X5]:multiplication(X3,addition(X4,X5))=addition(multiplication(X3,X4),multiplication(X3,X5)),file('/tmp/SRASS.s.p', right_distributivity)).
% fof(13, axiom,![X3]:![X4]:![X5]:multiplication(X3,multiplication(X4,X5))=multiplication(multiplication(X3,X4),X5),file('/tmp/SRASS.s.p', multiplicative_associativity)).
% fof(14, axiom,![X3]:addition(X3,X3)=X3,file('/tmp/SRASS.s.p', additive_idempotence)).
% fof(15, axiom,![X5]:![X4]:![X3]:addition(X3,addition(X4,X5))=addition(addition(X3,X4),X5),file('/tmp/SRASS.s.p', additive_associativity)).
% fof(16, axiom,![X3]:![X4]:addition(X3,X4)=addition(X4,X3),file('/tmp/SRASS.s.p', additive_commutativity)).
% fof(17, conjecture,![X1]:![X2]:((test(X2)&test(X1))=>c(multiplication(X1,X2))=addition(c(X1),c(X2))),file('/tmp/SRASS.s.p', goals)).
% fof(18, negated_conjecture,~(![X1]:![X2]:((test(X2)&test(X1))=>c(multiplication(X1,X2))=addition(c(X1),c(X2)))),inference(assume_negation,[status(cth)],[17])).
% fof(20, 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)],[1])).
% fof(21, 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)],[20])).
% fof(22, 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)],[21])).
% cnf(23,plain,(complement(X1,X2)|addition(X2,X1)!=one|multiplication(X1,X2)!=zero|multiplication(X2,X1)!=zero),inference(split_conjunct,[status(thm)],[22])).
% cnf(24,plain,(addition(X2,X1)=one|~complement(X1,X2)),inference(split_conjunct,[status(thm)],[22])).
% cnf(25,plain,(multiplication(X1,X2)=zero|~complement(X1,X2)),inference(split_conjunct,[status(thm)],[22])).
% cnf(26,plain,(multiplication(X2,X1)=zero|~complement(X1,X2)),inference(split_conjunct,[status(thm)],[22])).
% fof(27, plain,![X3]:![X4]:((~(leq(X3,X4))|addition(X3,X4)=X4)&(~(addition(X3,X4)=X4)|leq(X3,X4))),inference(fof_nnf,[status(thm)],[2])).
% fof(28, plain,![X5]:![X6]:((~(leq(X5,X6))|addition(X5,X6)=X6)&(~(addition(X5,X6)=X6)|leq(X5,X6))),inference(variable_rename,[status(thm)],[27])).
% cnf(29,plain,(leq(X1,X2)|addition(X1,X2)!=X2),inference(split_conjunct,[status(thm)],[28])).
% cnf(30,plain,(addition(X1,X2)=X2|~leq(X1,X2)),inference(split_conjunct,[status(thm)],[28])).
% fof(31, plain,![X4]:multiplication(one,X4)=X4,inference(variable_rename,[status(thm)],[3])).
% cnf(32,plain,(multiplication(one,X1)=X1),inference(split_conjunct,[status(thm)],[31])).
% fof(33, plain,![X4]:multiplication(X4,one)=X4,inference(variable_rename,[status(thm)],[4])).
% cnf(34,plain,(multiplication(X1,one)=X1),inference(split_conjunct,[status(thm)],[33])).
% fof(35, plain,![X4]:multiplication(zero,X4)=zero,inference(variable_rename,[status(thm)],[5])).
% cnf(36,plain,(multiplication(zero,X1)=zero),inference(split_conjunct,[status(thm)],[35])).
% fof(37, plain,![X4]:multiplication(X4,zero)=zero,inference(variable_rename,[status(thm)],[6])).
% cnf(38,plain,(multiplication(X1,zero)=zero),inference(split_conjunct,[status(thm)],[37])).
% fof(39, plain,![X4]:addition(X4,zero)=X4,inference(variable_rename,[status(thm)],[7])).
% cnf(40,plain,(addition(X1,zero)=X1),inference(split_conjunct,[status(thm)],[39])).
% fof(41, plain,![X1]:((~(test(X1))|?[X2]:complement(X2,X1))&(![X2]:~(complement(X2,X1))|test(X1))),inference(fof_nnf,[status(thm)],[8])).
% fof(42, plain,![X3]:((~(test(X3))|?[X4]:complement(X4,X3))&(![X5]:~(complement(X5,X3))|test(X3))),inference(variable_rename,[status(thm)],[41])).
% fof(43, plain,![X3]:((~(test(X3))|complement(esk1_1(X3),X3))&(![X5]:~(complement(X5,X3))|test(X3))),inference(skolemize,[status(esa)],[42])).
% fof(44, plain,![X3]:![X5]:((~(complement(X5,X3))|test(X3))&(~(test(X3))|complement(esk1_1(X3),X3))),inference(shift_quantors,[status(thm)],[43])).
% cnf(45,plain,(complement(esk1_1(X1),X1)|~test(X1)),inference(split_conjunct,[status(thm)],[44])).
% cnf(46,plain,(test(X1)|~complement(X2,X1)),inference(split_conjunct,[status(thm)],[44])).
% fof(47, plain,![X1]:![X2]:(~(test(X1))|((~(c(X1)=X2)|complement(X1,X2))&(~(complement(X1,X2))|c(X1)=X2))),inference(fof_nnf,[status(thm)],[9])).
% fof(48, plain,![X3]:![X4]:(~(test(X3))|((~(c(X3)=X4)|complement(X3,X4))&(~(complement(X3,X4))|c(X3)=X4))),inference(variable_rename,[status(thm)],[47])).
% fof(49, plain,![X3]:![X4]:(((~(c(X3)=X4)|complement(X3,X4))|~(test(X3)))&((~(complement(X3,X4))|c(X3)=X4)|~(test(X3)))),inference(distribute,[status(thm)],[48])).
% cnf(50,plain,(c(X1)=X2|~test(X1)|~complement(X1,X2)),inference(split_conjunct,[status(thm)],[49])).
% cnf(51,plain,(complement(X1,X2)|~test(X1)|c(X1)!=X2),inference(split_conjunct,[status(thm)],[49])).
% fof(55, plain,![X6]:![X7]:![X8]:multiplication(addition(X6,X7),X8)=addition(multiplication(X6,X8),multiplication(X7,X8)),inference(variable_rename,[status(thm)],[11])).
% cnf(56,plain,(multiplication(addition(X1,X2),X3)=addition(multiplication(X1,X3),multiplication(X2,X3))),inference(split_conjunct,[status(thm)],[55])).
% fof(57, plain,![X6]:![X7]:![X8]:multiplication(X6,addition(X7,X8))=addition(multiplication(X6,X7),multiplication(X6,X8)),inference(variable_rename,[status(thm)],[12])).
% cnf(58,plain,(multiplication(X1,addition(X2,X3))=addition(multiplication(X1,X2),multiplication(X1,X3))),inference(split_conjunct,[status(thm)],[57])).
% fof(59, plain,![X6]:![X7]:![X8]:multiplication(X6,multiplication(X7,X8))=multiplication(multiplication(X6,X7),X8),inference(variable_rename,[status(thm)],[13])).
% cnf(60,plain,(multiplication(X1,multiplication(X2,X3))=multiplication(multiplication(X1,X2),X3)),inference(split_conjunct,[status(thm)],[59])).
% fof(61, plain,![X4]:addition(X4,X4)=X4,inference(variable_rename,[status(thm)],[14])).
% cnf(62,plain,(addition(X1,X1)=X1),inference(split_conjunct,[status(thm)],[61])).
% fof(63, plain,![X6]:![X7]:![X8]:addition(X8,addition(X7,X6))=addition(addition(X8,X7),X6),inference(variable_rename,[status(thm)],[15])).
% cnf(64,plain,(addition(X1,addition(X2,X3))=addition(addition(X1,X2),X3)),inference(split_conjunct,[status(thm)],[63])).
% fof(65, plain,![X5]:![X6]:addition(X5,X6)=addition(X6,X5),inference(variable_rename,[status(thm)],[16])).
% cnf(66,plain,(addition(X1,X2)=addition(X2,X1)),inference(split_conjunct,[status(thm)],[65])).
% fof(67, negated_conjecture,?[X1]:?[X2]:((test(X2)&test(X1))&~(c(multiplication(X1,X2))=addition(c(X1),c(X2)))),inference(fof_nnf,[status(thm)],[18])).
% fof(68, negated_conjecture,?[X3]:?[X4]:((test(X4)&test(X3))&~(c(multiplication(X3,X4))=addition(c(X3),c(X4)))),inference(variable_rename,[status(thm)],[67])).
% fof(69, negated_conjecture,((test(esk3_0)&test(esk2_0))&~(c(multiplication(esk2_0,esk3_0))=addition(c(esk2_0),c(esk3_0)))),inference(skolemize,[status(esa)],[68])).
% cnf(70,negated_conjecture,(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(79,negated_conjecture,(complement(esk1_1(esk3_0),esk3_0)),inference(spm,[status(thm)],[45,72,theory(equality)])).
% cnf(80,negated_conjecture,(complement(esk1_1(esk2_0),esk2_0)),inference(spm,[status(thm)],[45,71,theory(equality)])).
% cnf(81,plain,(complement(X1,c(X1))|~test(X1)),inference(er,[status(thm)],[51,theory(equality)])).
% cnf(98,plain,(complement(X1,multiplication(X2,X3))|multiplication(X2,multiplication(X3,X1))!=zero|multiplication(X1,multiplication(X2,X3))!=zero|addition(multiplication(X2,X3),X1)!=one),inference(spm,[status(thm)],[23,60,theory(equality)])).
% cnf(119,plain,(addition(X1,X2)=addition(X1,addition(X1,X2))),inference(spm,[status(thm)],[64,62,theory(equality)])).
% cnf(123,plain,(addition(X3,addition(X1,X2))=addition(X1,addition(X2,X3))),inference(spm,[status(thm)],[64,66,theory(equality)])).
% cnf(124,plain,(addition(zero,X1)=X1),inference(spm,[status(thm)],[40,66,theory(equality)])).
% cnf(126,plain,(leq(X1,X2)|addition(X2,X1)!=X2),inference(spm,[status(thm)],[29,66,theory(equality)])).
% cnf(127,plain,(addition(addition(X2,X1),X3)=addition(X1,addition(X2,X3))),inference(spm,[status(thm)],[64,66,theory(equality)])).
% cnf(134,plain,(addition(X2,addition(X1,X3))=addition(X1,addition(X2,X3))),inference(rw,[status(thm)],[127,64,theory(equality)])).
% cnf(140,plain,(addition(multiplication(X1,addition(X2,X3)),X4)=addition(multiplication(X1,X2),addition(multiplication(X1,X3),X4))),inference(spm,[status(thm)],[64,58,theory(equality)])).
% cnf(145,plain,(addition(multiplication(X1,X2),X1)=multiplication(X1,addition(X2,one))),inference(spm,[status(thm)],[58,34,theory(equality)])).
% cnf(172,plain,(addition(multiplication(addition(X1,X3),X2),X4)=addition(multiplication(X1,X2),addition(multiplication(X3,X2),X4))),inference(spm,[status(thm)],[64,56,theory(equality)])).
% cnf(175,plain,(addition(multiplication(X1,X2),X2)=multiplication(addition(X1,one),X2)),inference(spm,[status(thm)],[56,32,theory(equality)])).
% cnf(177,plain,(addition(multiplication(X1,X2),multiplication(X3,multiplication(X4,X2)))=multiplication(addition(X1,multiplication(X3,X4)),X2)),inference(spm,[status(thm)],[56,60,theory(equality)])).
% cnf(182,plain,(addition(multiplication(X1,multiplication(X2,X3)),multiplication(X4,X3))=multiplication(addition(multiplication(X1,X2),X4),X3)),inference(spm,[status(thm)],[56,60,theory(equality)])).
% cnf(201,negated_conjecture,(multiplication(esk3_0,esk1_1(esk3_0))=zero),inference(spm,[status(thm)],[26,79,theory(equality)])).
% cnf(202,negated_conjecture,(addition(esk3_0,esk1_1(esk3_0))=one),inference(spm,[status(thm)],[24,79,theory(equality)])).
% cnf(204,negated_conjecture,(multiplication(esk1_1(esk3_0),esk3_0)=zero),inference(spm,[status(thm)],[25,79,theory(equality)])).
% cnf(207,negated_conjecture,(multiplication(esk2_0,esk1_1(esk2_0))=zero),inference(spm,[status(thm)],[26,80,theory(equality)])).
% cnf(208,negated_conjecture,(addition(esk2_0,esk1_1(esk2_0))=one),inference(spm,[status(thm)],[24,80,theory(equality)])).
% cnf(217,negated_conjecture,(addition(zero,multiplication(X1,esk1_1(esk3_0)))=multiplication(addition(esk3_0,X1),esk1_1(esk3_0))),inference(spm,[status(thm)],[56,201,theory(equality)])).
% cnf(218,negated_conjecture,(addition(multiplication(esk3_0,X1),zero)=multiplication(esk3_0,addition(X1,esk1_1(esk3_0)))),inference(spm,[status(thm)],[58,201,theory(equality)])).
% cnf(222,negated_conjecture,(multiplication(esk3_0,X1)=multiplication(esk3_0,addition(X1,esk1_1(esk3_0)))),inference(rw,[status(thm)],[218,40,theory(equality)])).
% cnf(226,negated_conjecture,(complement(esk3_0,esk1_1(esk3_0))|multiplication(esk3_0,esk1_1(esk3_0))!=zero|addition(esk1_1(esk3_0),esk3_0)!=one),inference(spm,[status(thm)],[23,204,theory(equality)])).
% cnf(232,negated_conjecture,(complement(esk3_0,esk1_1(esk3_0))|$false|addition(esk1_1(esk3_0),esk3_0)!=one),inference(rw,[status(thm)],[226,201,theory(equality)])).
% cnf(233,negated_conjecture,(complement(esk3_0,esk1_1(esk3_0))|addition(esk1_1(esk3_0),esk3_0)!=one),inference(cn,[status(thm)],[232,theory(equality)])).
% cnf(241,negated_conjecture,(addition(multiplication(esk2_0,X1),zero)=multiplication(esk2_0,addition(X1,esk1_1(esk2_0)))),inference(spm,[status(thm)],[58,207,theory(equality)])).
% cnf(245,negated_conjecture,(multiplication(esk2_0,X1)=multiplication(esk2_0,addition(X1,esk1_1(esk2_0)))),inference(rw,[status(thm)],[241,40,theory(equality)])).
% cnf(269,negated_conjecture,(complement(esk3_0,c(esk3_0))),inference(spm,[status(thm)],[81,72,theory(equality)])).
% cnf(270,negated_conjecture,(complement(esk2_0,c(esk2_0))),inference(spm,[status(thm)],[81,71,theory(equality)])).
% cnf(276,plain,(leq(multiplication(X1,X2),multiplication(X1,X3))|multiplication(X1,addition(X3,X2))!=multiplication(X1,X3)),inference(spm,[status(thm)],[126,58,theory(equality)])).
% cnf(277,plain,(leq(multiplication(X1,X2),multiplication(X3,X2))|multiplication(addition(X3,X1),X2)!=multiplication(X3,X2)),inference(spm,[status(thm)],[126,56,theory(equality)])).
% cnf(316,negated_conjecture,(multiplication(c(esk3_0),esk3_0)=zero),inference(spm,[status(thm)],[26,269,theory(equality)])).
% cnf(317,negated_conjecture,(addition(c(esk3_0),esk3_0)=one),inference(spm,[status(thm)],[24,269,theory(equality)])).
% cnf(318,negated_conjecture,(multiplication(esk3_0,c(esk3_0))=zero),inference(spm,[status(thm)],[25,269,theory(equality)])).
% cnf(328,negated_conjecture,(multiplication(c(esk2_0),esk2_0)=zero),inference(spm,[status(thm)],[26,270,theory(equality)])).
% cnf(329,negated_conjecture,(addition(c(esk2_0),esk2_0)=one),inference(spm,[status(thm)],[24,270,theory(equality)])).
% cnf(330,negated_conjecture,(multiplication(esk2_0,c(esk2_0))=zero),inference(spm,[status(thm)],[25,270,theory(equality)])).
% cnf(377,plain,(leq(X1,addition(X1,X2))),inference(spm,[status(thm)],[29,119,theory(equality)])).
% cnf(381,negated_conjecture,(addition(esk3_0,one)=one),inference(spm,[status(thm)],[119,202,theory(equality)])).
% cnf(382,negated_conjecture,(addition(esk2_0,one)=one),inference(spm,[status(thm)],[119,208,theory(equality)])).
% cnf(389,plain,(addition(X1,addition(X2,X1))=addition(X2,X1)),inference(spm,[status(thm)],[119,66,theory(equality)])).
% cnf(421,negated_conjecture,(addition(one,esk3_0)=one),inference(rw,[status(thm)],[381,66,theory(equality)])).
% cnf(423,negated_conjecture,(addition(one,X1)=addition(one,addition(esk3_0,X1))),inference(spm,[status(thm)],[64,421,theory(equality)])).
% cnf(430,negated_conjecture,(addition(one,esk2_0)=one),inference(rw,[status(thm)],[382,66,theory(equality)])).
% cnf(432,negated_conjecture,(addition(one,X1)=addition(one,addition(esk2_0,X1))),inference(spm,[status(thm)],[64,430,theory(equality)])).
% cnf(441,negated_conjecture,(addition(zero,multiplication(c(esk3_0),X1))=multiplication(c(esk3_0),addition(esk3_0,X1))),inference(spm,[status(thm)],[58,316,theory(equality)])).
% cnf(442,negated_conjecture,(addition(zero,multiplication(X1,esk3_0))=multiplication(addition(c(esk3_0),X1),esk3_0)),inference(spm,[status(thm)],[56,316,theory(equality)])).
% cnf(443,negated_conjecture,(addition(multiplication(c(esk3_0),X1),zero)=multiplication(c(esk3_0),addition(X1,esk3_0))),inference(spm,[status(thm)],[58,316,theory(equality)])).
% cnf(444,negated_conjecture,(addition(multiplication(X1,esk3_0),zero)=multiplication(addition(X1,c(esk3_0)),esk3_0)),inference(spm,[status(thm)],[56,316,theory(equality)])).
% cnf(448,negated_conjecture,(multiplication(c(esk3_0),X1)=multiplication(c(esk3_0),addition(esk3_0,X1))),inference(rw,[status(thm)],[441,124,theory(equality)])).
% cnf(449,negated_conjecture,(multiplication(X1,esk3_0)=multiplication(addition(c(esk3_0),X1),esk3_0)),inference(rw,[status(thm)],[442,124,theory(equality)])).
% cnf(450,negated_conjecture,(multiplication(c(esk3_0),X1)=multiplication(c(esk3_0),addition(X1,esk3_0))),inference(rw,[status(thm)],[443,40,theory(equality)])).
% cnf(451,negated_conjecture,(multiplication(X1,esk3_0)=multiplication(addition(X1,c(esk3_0)),esk3_0)),inference(rw,[status(thm)],[444,40,theory(equality)])).
% cnf(454,negated_conjecture,(addition(esk3_0,c(esk3_0))=one),inference(rw,[status(thm)],[317,66,theory(equality)])).
% cnf(465,negated_conjecture,(addition(zero,multiplication(esk3_0,X1))=multiplication(esk3_0,addition(c(esk3_0),X1))),inference(spm,[status(thm)],[58,318,theory(equality)])).
% cnf(466,negated_conjecture,(addition(zero,multiplication(X1,c(esk3_0)))=multiplication(addition(esk3_0,X1),c(esk3_0))),inference(spm,[status(thm)],[56,318,theory(equality)])).
% cnf(467,negated_conjecture,(addition(multiplication(esk3_0,X1),zero)=multiplication(esk3_0,addition(X1,c(esk3_0)))),inference(spm,[status(thm)],[58,318,theory(equality)])).
% cnf(468,negated_conjecture,(addition(multiplication(X1,c(esk3_0)),zero)=multiplication(addition(X1,esk3_0),c(esk3_0))),inference(spm,[status(thm)],[56,318,theory(equality)])).
% cnf(474,negated_conjecture,(multiplication(esk3_0,X1)=multiplication(esk3_0,addition(c(esk3_0),X1))),inference(rw,[status(thm)],[465,124,theory(equality)])).
% cnf(475,negated_conjecture,(multiplication(X1,c(esk3_0))=multiplication(addition(esk3_0,X1),c(esk3_0))),inference(rw,[status(thm)],[466,124,theory(equality)])).
% cnf(476,negated_conjecture,(multiplication(esk3_0,X1)=multiplication(esk3_0,addition(X1,c(esk3_0)))),inference(rw,[status(thm)],[467,40,theory(equality)])).
% cnf(477,negated_conjecture,(multiplication(X1,c(esk3_0))=multiplication(addition(X1,esk3_0),c(esk3_0))),inference(rw,[status(thm)],[468,40,theory(equality)])).
% cnf(502,negated_conjecture,(multiplication(zero,X1)=multiplication(c(esk2_0),multiplication(esk2_0,X1))),inference(spm,[status(thm)],[60,328,theory(equality)])).
% cnf(503,negated_conjecture,(addition(zero,multiplication(c(esk2_0),X1))=multiplication(c(esk2_0),addition(esk2_0,X1))),inference(spm,[status(thm)],[58,328,theory(equality)])).
% cnf(509,negated_conjecture,(zero=multiplication(c(esk2_0),multiplication(esk2_0,X1))),inference(rw,[status(thm)],[502,36,theory(equality)])).
% cnf(510,negated_conjecture,(multiplication(c(esk2_0),X1)=multiplication(c(esk2_0),addition(esk2_0,X1))),inference(rw,[status(thm)],[503,124,theory(equality)])).
% cnf(536,negated_conjecture,(addition(esk2_0,c(esk2_0))=one),inference(rw,[status(thm)],[329,66,theory(equality)])).
% cnf(548,negated_conjecture,(addition(zero,multiplication(esk2_0,X1))=multiplication(esk2_0,addition(c(esk2_0),X1))),inference(spm,[status(thm)],[58,330,theory(equality)])).
% cnf(549,negated_conjecture,(addition(zero,multiplication(X1,c(esk2_0)))=multiplication(addition(esk2_0,X1),c(esk2_0))),inference(spm,[status(thm)],[56,330,theory(equality)])).
% cnf(550,negated_conjecture,(addition(multiplication(esk2_0,X1),zero)=multiplication(esk2_0,addition(X1,c(esk2_0)))),inference(spm,[status(thm)],[58,330,theory(equality)])).
% cnf(557,negated_conjecture,(multiplication(esk2_0,X1)=multiplication(esk2_0,addition(c(esk2_0),X1))),inference(rw,[status(thm)],[548,124,theory(equality)])).
% cnf(558,negated_conjecture,(multiplication(X1,c(esk2_0))=multiplication(addition(esk2_0,X1),c(esk2_0))),inference(rw,[status(thm)],[549,124,theory(equality)])).
% cnf(559,negated_conjecture,(multiplication(esk2_0,X1)=multiplication(esk2_0,addition(X1,c(esk2_0)))),inference(rw,[status(thm)],[550,40,theory(equality)])).
% cnf(714,negated_conjecture,(addition(one,one)=addition(one,c(esk3_0))),inference(spm,[status(thm)],[423,454,theory(equality)])).
% cnf(728,negated_conjecture,(one=addition(one,c(esk3_0))),inference(rw,[status(thm)],[714,62,theory(equality)])).
% cnf(818,plain,(addition(multiplication(X1,X2),addition(X3,multiplication(X1,X4)))=addition(X3,multiplication(X1,addition(X4,X2)))),inference(spm,[status(thm)],[123,58,theory(equality)])).
% cnf(979,plain,(leq(multiplication(X1,X2),multiplication(X1,addition(X2,X3)))),inference(spm,[status(thm)],[377,58,theory(equality)])).
% cnf(980,plain,(leq(multiplication(X1,X2),multiplication(addition(X1,X3),X2))),inference(spm,[status(thm)],[377,56,theory(equality)])).
% cnf(1034,negated_conjecture,(addition(one,one)=addition(one,c(esk2_0))),inference(spm,[status(thm)],[432,536,theory(equality)])).
% cnf(1051,negated_conjecture,(one=addition(one,c(esk2_0))),inference(rw,[status(thm)],[1034,62,theory(equality)])).
% cnf(1136,negated_conjecture,(addition(esk3_0,addition(X1,c(esk3_0)))=addition(X1,one)),inference(spm,[status(thm)],[134,454,theory(equality)])).
% cnf(1492,negated_conjecture,(addition(zero,multiplication(c(esk2_0),X2))=multiplication(c(esk2_0),addition(multiplication(esk2_0,X1),X2))),inference(spm,[status(thm)],[58,509,theory(equality)])).
% cnf(1495,negated_conjecture,(addition(multiplication(X1,multiplication(esk2_0,X2)),zero)=multiplication(addition(X1,c(esk2_0)),multiplication(esk2_0,X2))),inference(spm,[status(thm)],[56,509,theory(equality)])).
% cnf(1505,negated_conjecture,(multiplication(c(esk2_0),X2)=multiplication(c(esk2_0),addition(multiplication(esk2_0,X1),X2))),inference(rw,[status(thm)],[1492,124,theory(equality)])).
% cnf(1508,negated_conjecture,(multiplication(X1,multiplication(esk2_0,X2))=multiplication(addition(X1,c(esk2_0)),multiplication(esk2_0,X2))),inference(rw,[status(thm)],[1495,40,theory(equality)])).
% cnf(1663,plain,(addition(X1,multiplication(X1,X2))=multiplication(X1,addition(X2,one))),inference(rw,[status(thm)],[145,66,theory(equality)])).
% cnf(1664,negated_conjecture,(addition(one,multiplication(esk3_0,addition(X1,one)))=addition(one,multiplication(esk3_0,X1))),inference(spm,[status(thm)],[423,1663,theory(equality)])).
% cnf(1665,negated_conjecture,(addition(one,multiplication(esk2_0,addition(X1,one)))=addition(one,multiplication(esk2_0,X1))),inference(spm,[status(thm)],[432,1663,theory(equality)])).
% cnf(2114,plain,(addition(X2,multiplication(X1,X2))=multiplication(addition(X1,one),X2)),inference(rw,[status(thm)],[175,66,theory(equality)])).
% cnf(2328,negated_conjecture,(multiplication(X1,esk1_1(esk3_0))=multiplication(addition(esk3_0,X1),esk1_1(esk3_0))),inference(rw,[status(thm)],[217,124,theory(equality)])).
% cnf(2348,negated_conjecture,(multiplication(one,esk1_1(esk3_0))=multiplication(c(esk3_0),esk1_1(esk3_0))),inference(spm,[status(thm)],[2328,454,theory(equality)])).
% cnf(2366,negated_conjecture,(esk1_1(esk3_0)=multiplication(c(esk3_0),esk1_1(esk3_0))),inference(rw,[status(thm)],[2348,32,theory(equality)])).
% cnf(2377,negated_conjecture,(multiplication(esk3_0,one)=multiplication(esk3_0,esk3_0)),inference(spm,[status(thm)],[222,202,theory(equality)])).
% cnf(2392,negated_conjecture,(esk3_0=multiplication(esk3_0,esk3_0)),inference(rw,[status(thm)],[2377,34,theory(equality)])).
% cnf(2462,negated_conjecture,(multiplication(esk3_0,X1)=multiplication(esk3_0,multiplication(esk3_0,X1))),inference(spm,[status(thm)],[60,2392,theory(equality)])).
% cnf(2466,negated_conjecture,(addition(multiplication(esk3_0,X1),esk3_0)=multiplication(esk3_0,addition(X1,esk3_0))),inference(spm,[status(thm)],[58,2392,theory(equality)])).
% cnf(2606,negated_conjecture,(complement(esk3_0,esk1_1(esk3_0))|$false),inference(rw,[status(thm)],[inference(rw,[status(thm)],[233,66,theory(equality)]),202,theory(equality)])).
% cnf(2607,negated_conjecture,(complement(esk3_0,esk1_1(esk3_0))),inference(cn,[status(thm)],[2606,theory(equality)])).
% cnf(2611,negated_conjecture,(c(esk3_0)=esk1_1(esk3_0)|~test(esk3_0)),inference(spm,[status(thm)],[50,2607,theory(equality)])).
% cnf(2615,negated_conjecture,(c(esk3_0)=esk1_1(esk3_0)|$false),inference(rw,[status(thm)],[2611,72,theory(equality)])).
% cnf(2616,negated_conjecture,(c(esk3_0)=esk1_1(esk3_0)),inference(cn,[status(thm)],[2615,theory(equality)])).
% cnf(2652,negated_conjecture,(multiplication(c(esk3_0),c(esk3_0))=esk1_1(esk3_0)),inference(rw,[status(thm)],[2366,2616,theory(equality)])).
% cnf(2653,negated_conjecture,(multiplication(c(esk3_0),c(esk3_0))=c(esk3_0)),inference(rw,[status(thm)],[2652,2616,theory(equality)])).
% cnf(2685,negated_conjecture,(addition(multiplication(c(esk3_0),X1),c(esk3_0))=multiplication(c(esk3_0),addition(X1,c(esk3_0)))),inference(spm,[status(thm)],[58,2653,theory(equality)])).
% cnf(2708,negated_conjecture,(addition(multiplication(esk3_0,X1),multiplication(esk3_0,X2))=multiplication(esk3_0,addition(multiplication(esk3_0,X1),X2))),inference(spm,[status(thm)],[58,2462,theory(equality)])).
% cnf(2711,negated_conjecture,(addition(multiplication(esk3_0,X1),multiplication(esk3_0,X2))=multiplication(esk3_0,addition(X1,multiplication(esk3_0,X2)))),inference(spm,[status(thm)],[58,2462,theory(equality)])).
% cnf(2726,negated_conjecture,(multiplication(esk3_0,addition(X1,X2))=multiplication(esk3_0,addition(multiplication(esk3_0,X1),X2))),inference(rw,[status(thm)],[2708,58,theory(equality)])).
% cnf(2729,negated_conjecture,(multiplication(esk3_0,addition(X1,X2))=multiplication(esk3_0,addition(X1,multiplication(esk3_0,X2)))),inference(rw,[status(thm)],[2711,58,theory(equality)])).
% cnf(2798,negated_conjecture,(multiplication(esk3_0,addition(X1,one))=multiplication(esk3_0,addition(X1,esk3_0))),inference(rw,[status(thm)],[inference(rw,[status(thm)],[2466,66,theory(equality)]),1663,theory(equality)])).
% cnf(2800,negated_conjecture,(addition(addition(X1,esk3_0),multiplication(esk3_0,addition(X1,one)))=multiplication(addition(esk3_0,one),addition(X1,esk3_0))),inference(spm,[status(thm)],[2114,2798,theory(equality)])).
% cnf(2815,negated_conjecture,(addition(X1,multiplication(esk3_0,addition(X1,one)))=multiplication(addition(esk3_0,one),addition(X1,esk3_0))),inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[2800,64,theory(equality)]),1663,theory(equality)]),64,theory(equality)]),62,theory(equality)])).
% cnf(2816,negated_conjecture,(addition(X1,multiplication(esk3_0,addition(X1,one)))=addition(X1,esk3_0)),inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[2815,66,theory(equality)]),421,theory(equality)]),32,theory(equality)])).
% cnf(2875,negated_conjecture,(multiplication(esk2_0,one)=multiplication(esk2_0,esk2_0)),inference(spm,[status(thm)],[245,208,theory(equality)])).
% cnf(2890,negated_conjecture,(esk2_0=multiplication(esk2_0,esk2_0)),inference(rw,[status(thm)],[2875,34,theory(equality)])).
% cnf(2959,negated_conjecture,(multiplication(esk2_0,X1)=multiplication(esk2_0,multiplication(esk2_0,X1))),inference(spm,[status(thm)],[60,2890,theory(equality)])).
% cnf(2963,negated_conjecture,(addition(multiplication(esk2_0,X1),esk2_0)=multiplication(esk2_0,addition(X1,esk2_0))),inference(spm,[status(thm)],[58,2890,theory(equality)])).
% cnf(3133,negated_conjecture,(multiplication(esk2_0,addition(X1,one))=multiplication(esk2_0,addition(X1,esk2_0))),inference(rw,[status(thm)],[inference(rw,[status(thm)],[2963,66,theory(equality)]),1663,theory(equality)])).
% cnf(3135,negated_conjecture,(addition(addition(X1,esk2_0),multiplication(esk2_0,addition(X1,one)))=multiplication(addition(esk2_0,one),addition(X1,esk2_0))),inference(spm,[status(thm)],[2114,3133,theory(equality)])).
% cnf(3151,negated_conjecture,(addition(X1,multiplication(esk2_0,addition(X1,one)))=multiplication(addition(esk2_0,one),addition(X1,esk2_0))),inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[3135,64,theory(equality)]),1663,theory(equality)]),64,theory(equality)]),62,theory(equality)])).
% cnf(3152,negated_conjecture,(addition(X1,multiplication(esk2_0,addition(X1,one)))=addition(X1,esk2_0)),inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[3151,66,theory(equality)]),430,theory(equality)]),32,theory(equality)])).
% cnf(3669,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)],[58,449,theory(equality)])).
% cnf(3851,negated_conjecture,(addition(esk3_0,addition(multiplication(esk3_0,X1),X2))=addition(multiplication(esk3_0,addition(esk3_0,X1)),X2)),inference(spm,[status(thm)],[140,2392,theory(equality)])).
% cnf(3856,negated_conjecture,(addition(esk2_0,addition(multiplication(esk2_0,X1),X2))=addition(multiplication(esk2_0,addition(esk2_0,X1)),X2)),inference(spm,[status(thm)],[140,2890,theory(equality)])).
% cnf(4058,negated_conjecture,(addition(esk3_0,addition(multiplication(X1,esk3_0),X2))=addition(multiplication(addition(esk3_0,X1),esk3_0),X2)),inference(spm,[status(thm)],[172,2392,theory(equality)])).
% cnf(4063,negated_conjecture,(addition(esk2_0,addition(multiplication(X1,esk2_0),X2))=addition(multiplication(addition(esk2_0,X1),esk2_0),X2)),inference(spm,[status(thm)],[172,2890,theory(equality)])).
% cnf(4402,negated_conjecture,(addition(multiplication(X1,esk3_0),multiplication(addition(X1,c(esk3_0)),X2))=multiplication(addition(X1,c(esk3_0)),addition(esk3_0,X2))),inference(spm,[status(thm)],[58,451,theory(equality)])).
% cnf(4558,negated_conjecture,(addition(multiplication(X1,esk2_0),multiplication(X2,esk2_0))=multiplication(addition(X1,multiplication(X2,esk2_0)),esk2_0)),inference(spm,[status(thm)],[177,2890,theory(equality)])).
% cnf(4639,negated_conjecture,(multiplication(addition(X1,X2),esk2_0)=multiplication(addition(X1,multiplication(X2,esk2_0)),esk2_0)),inference(rw,[status(thm)],[4558,56,theory(equality)])).
% cnf(4771,negated_conjecture,(addition(multiplication(X1,zero),multiplication(X2,c(esk3_0)))=multiplication(addition(multiplication(X1,esk3_0),X2),c(esk3_0))),inference(spm,[status(thm)],[182,318,theory(equality)])).
% cnf(4853,negated_conjecture,(multiplication(X2,c(esk3_0))=multiplication(addition(multiplication(X1,esk3_0),X2),c(esk3_0))),inference(rw,[status(thm)],[inference(rw,[status(thm)],[4771,38,theory(equality)]),124,theory(equality)])).
% cnf(5375,negated_conjecture,(leq(multiplication(X1,esk3_0),multiplication(X1,one))),inference(spm,[status(thm)],[276,421,theory(equality)])).
% cnf(5417,negated_conjecture,(leq(multiplication(X1,esk3_0),X1)),inference(rw,[status(thm)],[5375,34,theory(equality)])).
% cnf(5720,negated_conjecture,(addition(multiplication(c(esk2_0),X1),multiplication(X2,addition(esk2_0,X1)))=multiplication(addition(c(esk2_0),X2),addition(esk2_0,X1))),inference(spm,[status(thm)],[56,510,theory(equality)])).
% cnf(5726,negated_conjecture,(addition(multiplication(c(esk2_0),X1),multiplication(c(esk2_0),X2))=multiplication(c(esk2_0),addition(X1,addition(esk2_0,X2)))),inference(spm,[status(thm)],[58,510,theory(equality)])).
% cnf(5756,negated_conjecture,(multiplication(c(esk2_0),addition(X1,X2))=multiplication(c(esk2_0),addition(X1,addition(esk2_0,X2)))),inference(rw,[status(thm)],[5726,58,theory(equality)])).
% cnf(6405,negated_conjecture,(complement(addition(c(esk3_0),X1),multiplication(X2,esk3_0))|multiplication(X2,multiplication(esk3_0,X1))!=zero|multiplication(addition(c(esk3_0),X1),multiplication(X2,esk3_0))!=zero|addition(multiplication(X2,esk3_0),addition(c(esk3_0),X1))!=one),inference(spm,[status(thm)],[98,474,theory(equality)])).
% cnf(7046,negated_conjecture,(addition(multiplication(esk2_0,X1),multiplication(X2,addition(c(esk2_0),X1)))=multiplication(addition(esk2_0,X2),addition(c(esk2_0),X1))),inference(spm,[status(thm)],[56,557,theory(equality)])).
% cnf(10225,negated_conjecture,(leq(esk3_0,multiplication(esk3_0,addition(esk3_0,X1)))),inference(spm,[status(thm)],[979,2392,theory(equality)])).
% cnf(10233,negated_conjecture,(leq(esk2_0,multiplication(esk2_0,addition(esk2_0,X1)))),inference(spm,[status(thm)],[979,2890,theory(equality)])).
% cnf(10344,negated_conjecture,(addition(esk3_0,multiplication(esk3_0,addition(esk3_0,X1)))=multiplication(esk3_0,addition(esk3_0,X1))),inference(spm,[status(thm)],[30,10225,theory(equality)])).
% cnf(10366,negated_conjecture,(multiplication(esk3_0,addition(one,X1))=multiplication(esk3_0,addition(esk3_0,X1))),inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[10344,1663,theory(equality)]),64,theory(equality)]),123,theory(equality)]),423,theory(equality)])).
% cnf(10379,negated_conjecture,(addition(esk2_0,multiplication(esk2_0,addition(esk2_0,X1)))=multiplication(esk2_0,addition(esk2_0,X1))),inference(spm,[status(thm)],[30,10233,theory(equality)])).
% cnf(10401,negated_conjecture,(multiplication(esk2_0,addition(one,X1))=multiplication(esk2_0,addition(esk2_0,X1))),inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[10379,1663,theory(equality)]),64,theory(equality)]),123,theory(equality)]),432,theory(equality)])).
% cnf(10742,negated_conjecture,(leq(esk3_0,multiplication(addition(esk3_0,X1),esk3_0))),inference(spm,[status(thm)],[980,2392,theory(equality)])).
% cnf(10751,negated_conjecture,(leq(esk2_0,multiplication(addition(esk2_0,X1),esk2_0))),inference(spm,[status(thm)],[980,2890,theory(equality)])).
% cnf(11054,negated_conjecture,(addition(esk3_0,multiplication(addition(esk3_0,X1),esk3_0))=multiplication(addition(esk3_0,X1),esk3_0)),inference(spm,[status(thm)],[30,10742,theory(equality)])).
% cnf(11077,negated_conjecture,(multiplication(addition(one,X1),esk3_0)=multiplication(addition(esk3_0,X1),esk3_0)),inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[11054,2114,theory(equality)]),64,theory(equality)]),123,theory(equality)]),423,theory(equality)])).
% cnf(11092,negated_conjecture,(addition(esk2_0,multiplication(addition(esk2_0,X1),esk2_0))=multiplication(addition(esk2_0,X1),esk2_0)),inference(spm,[status(thm)],[30,10751,theory(equality)])).
% cnf(11115,negated_conjecture,(multiplication(addition(one,X1),esk2_0)=multiplication(addition(esk2_0,X1),esk2_0)),inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[11092,2114,theory(equality)]),64,theory(equality)]),123,theory(equality)]),432,theory(equality)])).
% cnf(14322,negated_conjecture,(addition(one,multiplication(esk3_0,addition(one,X1)))=addition(one,multiplication(esk3_0,X1))),inference(spm,[status(thm)],[1664,66,theory(equality)])).
% cnf(14437,negated_conjecture,(addition(one,multiplication(esk2_0,addition(one,X1)))=addition(one,multiplication(esk2_0,X1))),inference(spm,[status(thm)],[1665,66,theory(equality)])).
% cnf(16280,negated_conjecture,(multiplication(c(esk3_0),addition(X1,one))=multiplication(c(esk3_0),addition(X1,c(esk3_0)))),inference(rw,[status(thm)],[inference(rw,[status(thm)],[2685,66,theory(equality)]),1663,theory(equality)])).
% cnf(16296,negated_conjecture,(addition(multiplication(X1,addition(X2,c(esk3_0))),multiplication(c(esk3_0),addition(X2,one)))=multiplication(addition(X1,c(esk3_0)),addition(X2,c(esk3_0)))),inference(spm,[status(thm)],[56,16280,theory(equality)])).
% cnf(21070,negated_conjecture,(addition(one,multiplication(esk3_0,one))=addition(one,multiplication(esk3_0,esk2_0))),inference(spm,[status(thm)],[14322,430,theory(equality)])).
% cnf(21147,negated_conjecture,(one=addition(one,multiplication(esk3_0,esk2_0))),inference(rw,[status(thm)],[inference(rw,[status(thm)],[21070,34,theory(equality)]),421,theory(equality)])).
% cnf(21251,negated_conjecture,(leq(multiplication(multiplication(esk3_0,esk2_0),X1),multiplication(one,X1))),inference(spm,[status(thm)],[277,21147,theory(equality)])).
% cnf(21317,negated_conjecture,(leq(multiplication(esk3_0,multiplication(esk2_0,X1)),X1)),inference(rw,[status(thm)],[inference(rw,[status(thm)],[21251,60,theory(equality)]),32,theory(equality)])).
% cnf(22147,negated_conjecture,(addition(one,multiplication(esk2_0,one))=addition(one,multiplication(esk2_0,esk3_0))),inference(spm,[status(thm)],[14437,421,theory(equality)])).
% cnf(22226,negated_conjecture,(one=addition(one,multiplication(esk2_0,esk3_0))),inference(rw,[status(thm)],[inference(rw,[status(thm)],[22147,34,theory(equality)]),430,theory(equality)])).
% cnf(22303,negated_conjecture,(leq(multiplication(multiplication(esk2_0,esk3_0),X1),multiplication(one,X1))),inference(spm,[status(thm)],[277,22226,theory(equality)])).
% cnf(22372,negated_conjecture,(leq(multiplication(esk2_0,multiplication(esk3_0,X1)),X1)),inference(rw,[status(thm)],[inference(rw,[status(thm)],[22303,60,theory(equality)]),32,theory(equality)])).
% cnf(25433,negated_conjecture,(addition(multiplication(esk3_0,multiplication(esk2_0,X1)),X1)=X1),inference(spm,[status(thm)],[30,21317,theory(equality)])).
% cnf(26249,negated_conjecture,(addition(multiplication(esk2_0,multiplication(esk3_0,X1)),X1)=X1),inference(spm,[status(thm)],[30,22372,theory(equality)])).
% cnf(37650,negated_conjecture,(addition(addition(multiplication(esk3_0,X1),X2),multiplication(esk3_0,addition(X1,X2)))=multiplication(addition(esk3_0,one),addition(multiplication(esk3_0,X1),X2))),inference(spm,[status(thm)],[2114,2726,theory(equality)])).
% cnf(37739,negated_conjecture,(addition(X2,multiplication(esk3_0,addition(X2,X1)))=multiplication(addition(esk3_0,one),addition(multiplication(esk3_0,X1),X2))),inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[37650,64,theory(equality)]),818,theory(equality)]),64,theory(equality)]),389,theory(equality)])).
% cnf(37740,negated_conjecture,(addition(X2,multiplication(esk3_0,addition(X2,X1)))=addition(multiplication(esk3_0,X1),X2)),inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[37739,66,theory(equality)]),421,theory(equality)]),32,theory(equality)])).
% cnf(48637,negated_conjecture,(addition(X1,multiplication(esk3_0,multiplication(esk2_0,X1)))=X1),inference(rw,[status(thm)],[25433,66,theory(equality)])).
% cnf(48675,negated_conjecture,(multiplication(esk3_0,c(esk3_0))=multiplication(esk3_0,multiplication(esk3_0,multiplication(esk2_0,c(esk3_0))))),inference(spm,[status(thm)],[474,48637,theory(equality)])).
% cnf(48935,negated_conjecture,(zero=multiplication(esk3_0,multiplication(esk3_0,multiplication(esk2_0,c(esk3_0))))),inference(rw,[status(thm)],[48675,318,theory(equality)])).
% cnf(48936,negated_conjecture,(zero=multiplication(esk3_0,multiplication(esk2_0,c(esk3_0)))),inference(rw,[status(thm)],[48935,2462,theory(equality)])).
% cnf(49262,negated_conjecture,(addition(multiplication(X1,c(esk3_0)),zero)=multiplication(addition(X1,multiplication(esk3_0,esk2_0)),c(esk3_0))),inference(spm,[status(thm)],[177,48936,theory(equality)])).
% cnf(49325,negated_conjecture,(multiplication(X1,c(esk3_0))=multiplication(addition(X1,multiplication(esk3_0,esk2_0)),c(esk3_0))),inference(rw,[status(thm)],[49262,40,theory(equality)])).
% cnf(50053,negated_conjecture,(addition(X1,multiplication(esk2_0,multiplication(esk3_0,X1)))=X1),inference(rw,[status(thm)],[26249,66,theory(equality)])).
% cnf(50099,negated_conjecture,(multiplication(esk2_0,c(esk2_0))=multiplication(esk2_0,multiplication(esk2_0,multiplication(esk3_0,c(esk2_0))))),inference(spm,[status(thm)],[557,50053,theory(equality)])).
% cnf(50366,negated_conjecture,(zero=multiplication(esk2_0,multiplication(esk2_0,multiplication(esk3_0,c(esk2_0))))),inference(rw,[status(thm)],[50099,330,theory(equality)])).
% cnf(50367,negated_conjecture,(zero=multiplication(esk2_0,multiplication(esk3_0,c(esk2_0)))),inference(rw,[status(thm)],[50366,2959,theory(equality)])).
% cnf(61249,negated_conjecture,(addition(multiplication(esk3_0,addition(one,X1)),X2)=addition(esk3_0,addition(multiplication(esk3_0,X1),X2))),inference(rw,[status(thm)],[3851,10366,theory(equality)])).
% cnf(61634,negated_conjecture,(addition(multiplication(esk3_0,addition(one,esk2_0)),X1)=addition(esk3_0,addition(multiplication(esk3_0,multiplication(esk2_0,addition(one,one))),X1))),inference(spm,[status(thm)],[61249,3152,theory(equality)])).
% cnf(62068,negated_conjecture,(addition(esk3_0,X1)=addition(esk3_0,addition(multiplication(esk3_0,multiplication(esk2_0,addition(one,one))),X1))),inference(rw,[status(thm)],[inference(rw,[status(thm)],[61634,430,theory(equality)]),34,theory(equality)])).
% cnf(62069,negated_conjecture,(addition(esk3_0,X1)=addition(esk3_0,addition(multiplication(esk3_0,esk2_0),X1))),inference(rw,[status(thm)],[inference(rw,[status(thm)],[62068,62,theory(equality)]),34,theory(equality)])).
% cnf(62365,negated_conjecture,(addition(esk3_0,multiplication(addition(esk3_0,X1),esk2_0))=addition(esk3_0,multiplication(X1,esk2_0))),inference(spm,[status(thm)],[62069,56,theory(equality)])).
% cnf(65390,negated_conjecture,(addition(esk3_0,multiplication(one,esk2_0))=addition(esk3_0,multiplication(c(esk3_0),esk2_0))),inference(spm,[status(thm)],[62365,454,theory(equality)])).
% cnf(65483,negated_conjecture,(addition(esk2_0,esk3_0)=addition(esk3_0,multiplication(c(esk3_0),esk2_0))),inference(rw,[status(thm)],[inference(rw,[status(thm)],[65390,32,theory(equality)]),66,theory(equality)])).
% cnf(65839,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)],[475,65483,theory(equality)])).
% cnf(65902,negated_conjecture,(multiplication(esk2_0,c(esk3_0))=multiplication(multiplication(c(esk3_0),esk2_0),c(esk3_0))),inference(rw,[status(thm)],[65839,477,theory(equality)])).
% cnf(65903,negated_conjecture,(multiplication(esk2_0,c(esk3_0))=multiplication(c(esk3_0),multiplication(esk2_0,c(esk3_0)))),inference(rw,[status(thm)],[65902,60,theory(equality)])).
% cnf(66709,negated_conjecture,(addition(multiplication(esk2_0,addition(one,X1)),X2)=addition(esk2_0,addition(multiplication(esk2_0,X1),X2))),inference(rw,[status(thm)],[3856,10401,theory(equality)])).
% cnf(67115,negated_conjecture,(addition(multiplication(esk2_0,addition(one,esk3_0)),X1)=addition(esk2_0,addition(multiplication(esk2_0,multiplication(esk3_0,addition(one,one))),X1))),inference(spm,[status(thm)],[66709,2816,theory(equality)])).
% cnf(67563,negated_conjecture,(addition(esk2_0,X1)=addition(esk2_0,addition(multiplication(esk2_0,multiplication(esk3_0,addition(one,one))),X1))),inference(rw,[status(thm)],[inference(rw,[status(thm)],[67115,421,theory(equality)]),34,theory(equality)])).
% cnf(67564,negated_conjecture,(addition(esk2_0,X1)=addition(esk2_0,addition(multiplication(esk2_0,esk3_0),X1))),inference(rw,[status(thm)],[inference(rw,[status(thm)],[67563,62,theory(equality)]),34,theory(equality)])).
% cnf(67875,negated_conjecture,(addition(esk2_0,multiplication(addition(esk2_0,X1),esk3_0))=addition(esk2_0,multiplication(X1,esk3_0))),inference(spm,[status(thm)],[67564,56,theory(equality)])).
% cnf(70829,negated_conjecture,(addition(esk2_0,multiplication(one,esk3_0))=addition(esk2_0,multiplication(c(esk2_0),esk3_0))),inference(spm,[status(thm)],[67875,536,theory(equality)])).
% cnf(70920,negated_conjecture,(addition(esk2_0,esk3_0)=addition(esk2_0,multiplication(c(esk2_0),esk3_0))),inference(rw,[status(thm)],[70829,32,theory(equality)])).
% cnf(71469,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)],[558,70920,theory(equality)])).
% cnf(71534,negated_conjecture,(multiplication(esk3_0,c(esk2_0))=multiplication(multiplication(c(esk2_0),esk3_0),c(esk2_0))),inference(rw,[status(thm)],[71469,558,theory(equality)])).
% cnf(71535,negated_conjecture,(multiplication(esk3_0,c(esk2_0))=multiplication(c(esk2_0),multiplication(esk3_0,c(esk2_0)))),inference(rw,[status(thm)],[71534,60,theory(equality)])).
% cnf(72916,negated_conjecture,(addition(multiplication(addition(one,X1),esk3_0),X2)=addition(esk3_0,addition(multiplication(X1,esk3_0),X2))),inference(rw,[status(thm)],[4058,11077,theory(equality)])).
% cnf(73350,negated_conjecture,(addition(multiplication(addition(one,esk2_0),esk3_0),X1)=addition(esk3_0,addition(multiplication(multiplication(esk2_0,addition(one,one)),esk3_0),X1))),inference(spm,[status(thm)],[72916,3152,theory(equality)])).
% cnf(73825,negated_conjecture,(addition(esk3_0,X1)=addition(esk3_0,addition(multiplication(multiplication(esk2_0,addition(one,one)),esk3_0),X1))),inference(rw,[status(thm)],[inference(rw,[status(thm)],[73350,430,theory(equality)]),32,theory(equality)])).
% cnf(73826,negated_conjecture,(addition(esk3_0,X1)=addition(esk3_0,addition(multiplication(esk2_0,esk3_0),X1))),inference(rw,[status(thm)],[inference(rw,[status(thm)],[73825,62,theory(equality)]),34,theory(equality)])).
% cnf(74166,negated_conjecture,(addition(esk3_0,multiplication(esk2_0,addition(esk3_0,X1)))=addition(esk3_0,multiplication(esk2_0,X1))),inference(spm,[status(thm)],[73826,58,theory(equality)])).
% cnf(76985,negated_conjecture,(addition(esk3_0,multiplication(esk2_0,one))=addition(esk3_0,multiplication(esk2_0,c(esk3_0)))),inference(spm,[status(thm)],[74166,454,theory(equality)])).
% cnf(77091,negated_conjecture,(addition(esk2_0,esk3_0)=addition(esk3_0,multiplication(esk2_0,c(esk3_0)))),inference(rw,[status(thm)],[inference(rw,[status(thm)],[76985,34,theory(equality)]),66,theory(equality)])).
% cnf(77214,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)],[448,77091,theory(equality)])).
% cnf(77284,negated_conjecture,(multiplication(c(esk3_0),esk2_0)=multiplication(c(esk3_0),multiplication(esk2_0,c(esk3_0)))),inference(rw,[status(thm)],[77214,450,theory(equality)])).
% cnf(77285,negated_conjecture,(multiplication(c(esk3_0),esk2_0)=multiplication(esk2_0,c(esk3_0))),inference(rw,[status(thm)],[77284,65903,theory(equality)])).
% cnf(77321,negated_conjecture,(multiplication(multiplication(esk2_0,c(esk3_0)),X1)=multiplication(c(esk3_0),multiplication(esk2_0,X1))),inference(spm,[status(thm)],[60,77285,theory(equality)])).
% cnf(77387,negated_conjecture,(multiplication(esk2_0,multiplication(c(esk3_0),X1))=multiplication(c(esk3_0),multiplication(esk2_0,X1))),inference(rw,[status(thm)],[77321,60,theory(equality)])).
% cnf(79240,negated_conjecture,(addition(multiplication(addition(one,X1),esk2_0),X2)=addition(esk2_0,addition(multiplication(X1,esk2_0),X2))),inference(rw,[status(thm)],[4063,11115,theory(equality)])).
% cnf(79690,negated_conjecture,(addition(multiplication(addition(one,esk3_0),esk2_0),X1)=addition(esk2_0,addition(multiplication(multiplication(esk3_0,addition(one,one)),esk2_0),X1))),inference(spm,[status(thm)],[79240,2816,theory(equality)])).
% cnf(80182,negated_conjecture,(addition(esk2_0,X1)=addition(esk2_0,addition(multiplication(multiplication(esk3_0,addition(one,one)),esk2_0),X1))),inference(rw,[status(thm)],[inference(rw,[status(thm)],[79690,421,theory(equality)]),32,theory(equality)])).
% cnf(80183,negated_conjecture,(addition(esk2_0,X1)=addition(esk2_0,addition(multiplication(esk3_0,esk2_0),X1))),inference(rw,[status(thm)],[inference(rw,[status(thm)],[80182,62,theory(equality)]),34,theory(equality)])).
% cnf(80525,negated_conjecture,(addition(esk2_0,multiplication(esk3_0,addition(esk2_0,X1)))=addition(esk2_0,multiplication(esk3_0,X1))),inference(spm,[status(thm)],[80183,58,theory(equality)])).
% cnf(82281,negated_conjecture,(addition(esk2_0,multiplication(esk3_0,one))=addition(esk2_0,multiplication(esk3_0,c(esk2_0)))),inference(spm,[status(thm)],[80525,536,theory(equality)])).
% cnf(82383,negated_conjecture,(addition(esk2_0,esk3_0)=addition(esk2_0,multiplication(esk3_0,c(esk2_0)))),inference(rw,[status(thm)],[82281,34,theory(equality)])).
% cnf(82934,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)],[510,82383,theory(equality)])).
% cnf(83008,negated_conjecture,(multiplication(c(esk2_0),esk3_0)=multiplication(c(esk2_0),multiplication(esk3_0,c(esk2_0)))),inference(rw,[status(thm)],[82934,510,theory(equality)])).
% cnf(83009,negated_conjecture,(multiplication(c(esk2_0),esk3_0)=multiplication(esk3_0,c(esk2_0))),inference(rw,[status(thm)],[83008,71535,theory(equality)])).
% cnf(182027,negated_conjecture,(addition(multiplication(multiplication(esk3_0,esk2_0),esk3_0),multiplication(c(esk3_0),c(esk3_0)))=multiplication(addition(c(esk3_0),multiplication(esk3_0,esk2_0)),addition(esk3_0,c(esk3_0)))),inference(spm,[status(thm)],[3669,49325,theory(equality)])).
% cnf(182314,negated_conjecture,(addition(multiplication(esk3_0,multiplication(esk2_0,esk3_0)),c(esk3_0))=multiplication(addition(c(esk3_0),multiplication(esk3_0,esk2_0)),addition(esk3_0,c(esk3_0)))),inference(rw,[status(thm)],[inference(rw,[status(thm)],[182027,60,theory(equality)]),2653,theory(equality)])).
% cnf(182315,negated_conjecture,(addition(multiplication(esk3_0,multiplication(esk2_0,esk3_0)),c(esk3_0))=addition(multiplication(esk3_0,esk2_0),c(esk3_0))),inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[182314,66,theory(equality)]),454,theory(equality)]),34,theory(equality)])).
% cnf(182525,negated_conjecture,(multiplication(esk3_0,addition(multiplication(esk3_0,esk2_0),c(esk3_0)))=multiplication(esk3_0,multiplication(esk3_0,multiplication(esk2_0,esk3_0)))),inference(spm,[status(thm)],[476,182315,theory(equality)])).
% cnf(182633,negated_conjecture,(multiplication(esk3_0,esk2_0)=multiplication(esk3_0,multiplication(esk3_0,multiplication(esk2_0,esk3_0)))),inference(rw,[status(thm)],[inference(rw,[status(thm)],[182525,2726,theory(equality)]),476,theory(equality)])).
% cnf(182634,negated_conjecture,(multiplication(esk3_0,esk2_0)=multiplication(esk3_0,multiplication(esk2_0,esk3_0))),inference(rw,[status(thm)],[182633,2462,theory(equality)])).
% cnf(182664,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)],[2114,182634,theory(equality)])).
% cnf(182707,negated_conjecture,(addition(multiplication(esk3_0,esk2_0),multiplication(X1,esk3_0))=multiplication(addition(multiplication(esk3_0,esk2_0),X1),esk3_0)),inference(spm,[status(thm)],[182,182634,theory(equality)])).
% cnf(182759,negated_conjecture,(addition(multiplication(esk2_0,esk3_0),multiplication(esk3_0,esk2_0))=multiplication(esk2_0,esk3_0)),inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[182664,66,theory(equality)]),421,theory(equality)]),32,theory(equality)])).
% cnf(183366,negated_conjecture,(multiplication(multiplication(esk2_0,esk3_0),esk2_0)=multiplication(addition(multiplication(esk2_0,esk3_0),esk3_0),esk2_0)),inference(spm,[status(thm)],[4639,182759,theory(equality)])).
% cnf(183503,negated_conjecture,(multiplication(esk2_0,multiplication(esk3_0,esk2_0))=multiplication(addition(multiplication(esk2_0,esk3_0),esk3_0),esk2_0)),inference(rw,[status(thm)],[183366,60,theory(equality)])).
% cnf(183504,negated_conjecture,(multiplication(esk2_0,multiplication(esk3_0,esk2_0))=multiplication(esk3_0,esk2_0)),inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[183503,66,theory(equality)]),2114,theory(equality)]),66,theory(equality)]),430,theory(equality)]),32,theory(equality)])).
% cnf(185439,negated_conjecture,(addition(multiplication(esk3_0,esk2_0),multiplication(esk3_0,c(esk2_0)))=multiplication(addition(multiplication(esk3_0,esk2_0),c(esk2_0)),esk3_0)),inference(spm,[status(thm)],[182707,83009,theory(equality)])).
% cnf(185612,negated_conjecture,(esk3_0=multiplication(addition(multiplication(esk3_0,esk2_0),c(esk2_0)),esk3_0)),inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[185439,58,theory(equality)]),536,theory(equality)]),34,theory(equality)])).
% cnf(186116,negated_conjecture,(leq(esk3_0,addition(multiplication(esk3_0,esk2_0),c(esk2_0)))),inference(spm,[status(thm)],[5417,185612,theory(equality)])).
% cnf(186246,negated_conjecture,(addition(esk3_0,addition(multiplication(esk3_0,esk2_0),c(esk2_0)))=addition(multiplication(esk3_0,esk2_0),c(esk2_0))),inference(spm,[status(thm)],[30,186116,theory(equality)])).
% cnf(186248,negated_conjecture,(addition(esk3_0,c(esk2_0))=addition(multiplication(esk3_0,esk2_0),c(esk2_0))),inference(rw,[status(thm)],[186246,62069,theory(equality)])).
% cnf(186400,negated_conjecture,(multiplication(esk2_0,addition(esk3_0,c(esk2_0)))=multiplication(esk2_0,multiplication(esk3_0,esk2_0))),inference(spm,[status(thm)],[559,186248,theory(equality)])).
% cnf(186519,negated_conjecture,(multiplication(esk2_0,esk3_0)=multiplication(esk2_0,multiplication(esk3_0,esk2_0))),inference(rw,[status(thm)],[186400,559,theory(equality)])).
% cnf(186520,negated_conjecture,(multiplication(esk2_0,esk3_0)=multiplication(esk3_0,esk2_0)),inference(rw,[status(thm)],[186519,183504,theory(equality)])).
% cnf(186559,negated_conjecture,(multiplication(multiplication(esk2_0,esk3_0),X1)=multiplication(esk3_0,multiplication(esk2_0,X1))),inference(spm,[status(thm)],[60,186520,theory(equality)])).
% cnf(186634,negated_conjecture,(addition(multiplication(esk2_0,esk3_0),c(esk2_0))=addition(esk3_0,c(esk2_0))),inference(rw,[status(thm)],[186248,186520,theory(equality)])).
% cnf(186694,negated_conjecture,(multiplication(esk2_0,multiplication(esk3_0,X1))=multiplication(esk3_0,multiplication(esk2_0,X1))),inference(rw,[status(thm)],[186559,60,theory(equality)])).
% cnf(186902,negated_conjecture,(addition(addition(esk3_0,c(esk2_0)),X1)=addition(multiplication(esk2_0,esk3_0),addition(c(esk2_0),X1))),inference(spm,[status(thm)],[64,186634,theory(equality)])).
% cnf(187082,negated_conjecture,(addition(esk3_0,addition(c(esk2_0),X1))=addition(multiplication(esk2_0,esk3_0),addition(c(esk2_0),X1))),inference(rw,[status(thm)],[186902,64,theory(equality)])).
% cnf(484496,negated_conjecture,(addition(multiplication(c(esk2_0),c(esk3_0)),multiplication(c(esk3_0),addition(esk2_0,one)))=multiplication(addition(c(esk2_0),c(esk3_0)),addition(esk2_0,c(esk3_0)))),inference(spm,[status(thm)],[5720,16280,theory(equality)])).
% cnf(484953,negated_conjecture,(c(esk3_0)=multiplication(addition(c(esk2_0),c(esk3_0)),addition(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)],[484496,66,theory(equality)]),430,theory(equality)]),34,theory(equality)]),66,theory(equality)]),2114,theory(equality)]),66,theory(equality)]),1051,theory(equality)]),32,theory(equality)])).
% cnf(485200,negated_conjecture,(addition(multiplication(c(esk2_0),esk3_0),c(esk3_0))=multiplication(addition(c(esk2_0),c(esk3_0)),addition(esk3_0,addition(esk2_0,c(esk3_0))))),inference(spm,[status(thm)],[4402,484953,theory(equality)])).
% cnf(485420,negated_conjecture,(addition(c(esk3_0),multiplication(esk3_0,c(esk2_0)))=multiplication(addition(c(esk2_0),c(esk3_0)),addition(esk3_0,addition(esk2_0,c(esk3_0))))),inference(rw,[status(thm)],[inference(rw,[status(thm)],[485200,66,theory(equality)]),83009,theory(equality)])).
% cnf(485421,negated_conjecture,(addition(c(esk3_0),multiplication(esk3_0,c(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)],[485420,1136,theory(equality)]),66,theory(equality)]),430,theory(equality)]),34,theory(equality)])).
% cnf(986670,negated_conjecture,(complement(addition(c(esk3_0),c(esk2_0)),multiplication(esk2_0,esk3_0))|multiplication(c(esk3_0),multiplication(esk2_0,esk3_0))!=zero|addition(multiplication(esk2_0,esk3_0),addition(c(esk3_0),c(esk2_0)))!=one|multiplication(esk2_0,multiplication(esk3_0,c(esk2_0)))!=zero),inference(spm,[status(thm)],[6405,1508,theory(equality)])).
% cnf(986946,negated_conjecture,(complement(addition(c(esk2_0),c(esk3_0)),multiplication(esk2_0,esk3_0))|multiplication(c(esk3_0),multiplication(esk2_0,esk3_0))!=zero|addition(multiplication(esk2_0,esk3_0),addition(c(esk3_0),c(esk2_0)))!=one|multiplication(esk2_0,multiplication(esk3_0,c(esk2_0)))!=zero),inference(rw,[status(thm)],[986670,66,theory(equality)])).
% cnf(986947,negated_conjecture,(complement(addition(c(esk2_0),c(esk3_0)),multiplication(esk2_0,esk3_0))|$false|addition(multiplication(esk2_0,esk3_0),addition(c(esk3_0),c(esk2_0)))!=one|multiplication(esk2_0,multiplication(esk3_0,c(esk2_0)))!=zero),inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[986946,77387,theory(equality)]),316,theory(equality)]),38,theory(equality)])).
% cnf(986948,negated_conjecture,(complement(addition(c(esk2_0),c(esk3_0)),multiplication(esk2_0,esk3_0))|$false|$false|multiplication(esk2_0,multiplication(esk3_0,c(esk2_0)))!=zero),inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[986947,66,theory(equality)]),187082,theory(equality)]),1136,theory(equality)]),66,theory(equality)]),1051,theory(equality)])).
% cnf(986949,negated_conjecture,(complement(addition(c(esk2_0),c(esk3_0)),multiplication(esk2_0,esk3_0))|$false|$false|$false),inference(rw,[status(thm)],[986948,50367,theory(equality)])).
% cnf(986950,negated_conjecture,(complement(addition(c(esk2_0),c(esk3_0)),multiplication(esk2_0,esk3_0))),inference(cn,[status(thm)],[986949,theory(equality)])).
% cnf(993813,negated_conjecture,(test(multiplication(esk2_0,esk3_0))),inference(spm,[status(thm)],[46,986950,theory(equality)])).
% cnf(993828,negated_conjecture,(complement(multiplication(esk2_0,esk3_0),c(multiplication(esk2_0,esk3_0)))),inference(spm,[status(thm)],[81,993813,theory(equality)])).
% cnf(993838,negated_conjecture,(addition(c(multiplication(esk2_0,esk3_0)),multiplication(esk2_0,esk3_0))=one),inference(spm,[status(thm)],[24,993828,theory(equality)])).
% cnf(993839,negated_conjecture,(multiplication(multiplication(esk2_0,esk3_0),c(multiplication(esk2_0,esk3_0)))=zero),inference(spm,[status(thm)],[25,993828,theory(equality)])).
% cnf(993841,negated_conjecture,(multiplication(esk2_0,multiplication(esk3_0,c(multiplication(esk2_0,esk3_0))))=zero),inference(rw,[status(thm)],[993839,60,theory(equality)])).
% cnf(1012000,negated_conjecture,(addition(multiplication(esk2_0,esk3_0),c(multiplication(esk2_0,esk3_0)))=one),inference(rw,[status(thm)],[993838,66,theory(equality)])).
% cnf(1012088,negated_conjecture,(addition(c(multiplication(esk2_0,esk3_0)),one)=one),inference(spm,[status(thm)],[389,1012000,theory(equality)])).
% cnf(1012370,negated_conjecture,(multiplication(one,c(esk3_0))=multiplication(c(multiplication(esk2_0,esk3_0)),c(esk3_0))),inference(spm,[status(thm)],[4853,1012000,theory(equality)])).
% cnf(1012373,negated_conjecture,(multiplication(c(esk2_0),one)=multiplication(c(esk2_0),c(multiplication(esk2_0,esk3_0)))),inference(spm,[status(thm)],[1505,1012000,theory(equality)])).
% cnf(1012381,negated_conjecture,(addition(esk2_0,one)=addition(esk2_0,c(multiplication(esk2_0,esk3_0)))),inference(spm,[status(thm)],[67564,1012000,theory(equality)])).
% cnf(1012701,negated_conjecture,(c(esk3_0)=multiplication(c(multiplication(esk2_0,esk3_0)),c(esk3_0))),inference(rw,[status(thm)],[1012370,32,theory(equality)])).
% cnf(1012704,negated_conjecture,(c(esk2_0)=multiplication(c(esk2_0),c(multiplication(esk2_0,esk3_0)))),inference(rw,[status(thm)],[1012373,34,theory(equality)])).
% cnf(1012712,negated_conjecture,(one=addition(esk2_0,c(multiplication(esk2_0,esk3_0)))),inference(rw,[status(thm)],[inference(rw,[status(thm)],[1012381,66,theory(equality)]),430,theory(equality)])).
% cnf(1013441,negated_conjecture,(addition(one,c(multiplication(esk2_0,esk3_0)))=one),inference(rw,[status(thm)],[1012088,66,theory(equality)])).
% cnf(1015185,negated_conjecture,(multiplication(c(esk2_0),addition(X1,one))=multiplication(c(esk2_0),addition(X1,c(multiplication(esk2_0,esk3_0))))),inference(spm,[status(thm)],[5756,1012712,theory(equality)])).
% cnf(1018036,negated_conjecture,(addition(c(multiplication(esk2_0,esk3_0)),c(esk3_0))=multiplication(c(multiplication(esk2_0,esk3_0)),addition(c(esk3_0),one))),inference(spm,[status(thm)],[1663,1012701,theory(equality)])).
% cnf(1018235,negated_conjecture,(addition(c(multiplication(esk2_0,esk3_0)),c(esk3_0))=c(multiplication(esk2_0,esk3_0))),inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1018036,66,theory(equality)]),728,theory(equality)]),34,theory(equality)])).
% cnf(1018974,negated_conjecture,(addition(c(multiplication(esk2_0,esk3_0)),c(esk2_0))=multiplication(addition(c(esk2_0),one),c(multiplication(esk2_0,esk3_0)))),inference(spm,[status(thm)],[2114,1012704,theory(equality)])).
% cnf(1019178,negated_conjecture,(addition(c(multiplication(esk2_0,esk3_0)),c(esk2_0))=c(multiplication(esk2_0,esk3_0))),inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1018974,66,theory(equality)]),1051,theory(equality)]),32,theory(equality)])).
% cnf(1024492,negated_conjecture,(addition(c(esk3_0),c(multiplication(esk2_0,esk3_0)))=c(multiplication(esk2_0,esk3_0))),inference(rw,[status(thm)],[1018235,66,theory(equality)])).
% cnf(1025366,negated_conjecture,(addition(c(esk2_0),c(multiplication(esk2_0,esk3_0)))=c(multiplication(esk2_0,esk3_0))),inference(rw,[status(thm)],[1019178,66,theory(equality)])).
% cnf(3325790,negated_conjecture,(addition(multiplication(esk2_0,c(multiplication(esk2_0,esk3_0))),multiplication(c(esk2_0),addition(c(esk2_0),one)))=multiplication(addition(esk2_0,c(esk2_0)),addition(c(esk2_0),c(multiplication(esk2_0,esk3_0))))),inference(spm,[status(thm)],[7046,1015185,theory(equality)])).
% cnf(3326411,negated_conjecture,(addition(c(esk2_0),multiplication(esk2_0,c(multiplication(esk2_0,esk3_0))))=multiplication(addition(esk2_0,c(esk2_0)),addition(c(esk2_0),c(multiplication(esk2_0,esk3_0))))),inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[3325790,66,theory(equality)]),1051,theory(equality)]),34,theory(equality)]),66,theory(equality)])).
% cnf(3326412,negated_conjecture,(addition(c(esk2_0),multiplication(esk2_0,c(multiplication(esk2_0,esk3_0))))=c(multiplication(esk2_0,esk3_0))),inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[3326411,536,theory(equality)]),1025366,theory(equality)]),32,theory(equality)])).
% cnf(3327754,negated_conjecture,(addition(c(esk2_0),multiplication(esk3_0,c(multiplication(esk2_0,esk3_0))))=addition(multiplication(esk3_0,multiplication(esk2_0,c(multiplication(esk2_0,esk3_0)))),c(esk2_0))),inference(spm,[status(thm)],[37740,3326412,theory(equality)])).
% cnf(3328714,negated_conjecture,(addition(c(esk2_0),multiplication(esk3_0,c(multiplication(esk2_0,esk3_0))))=c(esk2_0)),inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[3327754,186694,theory(equality)]),993841,theory(equality)]),124,theory(equality)])).
% cnf(3330961,negated_conjecture,(multiplication(esk3_0,c(esk2_0))=multiplication(esk3_0,addition(c(esk2_0),c(multiplication(esk2_0,esk3_0))))),inference(spm,[status(thm)],[2729,3328714,theory(equality)])).
% cnf(3331855,negated_conjecture,(multiplication(esk3_0,c(esk2_0))=multiplication(esk3_0,c(multiplication(esk2_0,esk3_0)))),inference(rw,[status(thm)],[3330961,1025366,theory(equality)])).
% cnf(3332527,negated_conjecture,(addition(multiplication(esk3_0,c(esk2_0)),multiplication(esk3_0,X1))=multiplication(esk3_0,addition(c(multiplication(esk2_0,esk3_0)),X1))),inference(spm,[status(thm)],[58,3331855,theory(equality)])).
% cnf(3332893,negated_conjecture,(multiplication(esk3_0,addition(c(esk2_0),X1))=multiplication(esk3_0,addition(c(multiplication(esk2_0,esk3_0)),X1))),inference(rw,[status(thm)],[3332527,58,theory(equality)])).
% cnf(3338400,negated_conjecture,(addition(multiplication(esk3_0,addition(c(esk2_0),c(esk3_0))),multiplication(c(esk3_0),addition(c(multiplication(esk2_0,esk3_0)),one)))=multiplication(addition(esk3_0,c(esk3_0)),addition(c(multiplication(esk2_0,esk3_0)),c(esk3_0)))),inference(spm,[status(thm)],[16296,3332893,theory(equality)])).
% cnf(3339217,negated_conjecture,(addition(c(esk2_0),c(esk3_0))=multiplication(addition(esk3_0,c(esk3_0)),addition(c(multiplication(esk2_0,esk3_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)],[3338400,476,theory(equality)]),66,theory(equality)]),1013441,theory(equality)]),34,theory(equality)]),66,theory(equality)]),485421,theory(equality)])).
% cnf(3339218,negated_conjecture,(addition(c(esk2_0),c(esk3_0))=c(multiplication(esk2_0,esk3_0))),inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[3339217,454,theory(equality)]),66,theory(equality)]),1024492,theory(equality)]),32,theory(equality)])).
% cnf(3339219,negated_conjecture,($false),inference(sr,[status(thm)],[3339218,70,theory(equality)])).
% cnf(3339220,negated_conjecture,($false),3339219,['proof']).
% # SZS output end CNFRefutation
% # Processed clauses                  : 54696
% # ...of these trivial                : 13214
% # ...subsumed                        : 36439
% # ...remaining for further processing: 5043
% # Other redundant clauses eliminated : 0
% # Clauses deleted for lack of memory : 0
% # Backward-subsumed                  : 15
% # Backward-rewritten                 : 1104
% # Generated clauses                  : 1682913
% # ...of the previous two non-trivial : 1251330
% # Contextual simplify-reflections    : 27
% # Paramodulations                    : 1682906
% # Factorizations                     : 0
% # Equation resolutions               : 7
% # Current number of processed clauses: 3924
% #    Positive orientable unit clauses: 2538
% #    Positive unorientable unit clauses: 34
% #    Negative unit clauses           : 1
% #    Non-unit-clauses                : 1351
% # Current number of unprocessed clauses: 1047456
% # ...number of literals in the above : 1647598
% # Clause-clause subsumption calls (NU) : 277689
% # Rec. Clause-clause subsumption calls : 276780
% # Unit Clause-clause subsumption calls : 10931
% # Rewrite failures with RHS unbound  : 0
% # Indexed BW rewrite attempts        : 25849
% # Indexed BW rewrite successes       : 884
% # Backwards rewriting index:  1824 leaves,   3.07+/-4.551 terms/leaf
% # Paramod-from index:          897 leaves,   2.90+/-2.977 terms/leaf
% # Paramod-into index:         1274 leaves,   3.14+/-3.998 terms/leaf
% # -------------------------------------------------
% # User time              : 66.031 s
% # System time            : 2.434 s
% # Total time             : 68.465 s
% # Maximum resident set size: 0 pages
% PrfWatch: 120.12 CPU 124.17 WC
% FINAL PrfWatch: 120.12 CPU 124.17 WC
% SZS output end Solution for /tmp/SystemOnTPTP9039/KLE016+2.tptp
% 
%------------------------------------------------------------------------------