%------------------------------------------------------------------------------
% File : SRASS---0.1
% Problem : KLE011+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 : 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 07:32:06 EST 2010
% Result : Theorem 23.88s
% Output : Solution 23.88s
% 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/SystemOnTPTP8780/KLE011+4.tptp
% Adding relevance values
% Extracting the conjecture
% Sorting axioms by relevance
% Looking for THM ...
% found
% SZS status THM for /tmp/SystemOnTPTP8780/KLE011+4.tptp
% SZS output start Solution for /tmp/SystemOnTPTP8780/KLE011+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 8876
% TreeLimitedRun: ----------------------------------------------------------
% PrfWatch: 0.00 CPU 0.02 WC
% PrfWatch: 1.93 CPU 2.02 WC
% PrfWatch: 3.91 CPU 4.03 WC
% PrfWatch: 5.90 CPU 6.03 WC
% PrfWatch: 7.89 CPU 8.04 WC
% PrfWatch: 9.87 CPU 10.04 WC
% PrfWatch: 11.86 CPU 12.05 WC
% # Preprocessing time : 0.013 s
% # Problem is unsatisfiable (or provable), constructing proof object
% # SZS status Theorem
% PrfWatch: 13.84 CPU 14.05 WC
% PrfWatch: 15.84 CPU 16.05 WC
% PrfWatch: 17.83 CPU 18.06 WC
% PrfWatch: 19.83 CPU 20.06 WC
% PrfWatch: 21.82 CPU 22.07 WC
% # 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(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(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(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(multiplication(addition(X2,c(X2)),X1),multiplication(addition(X1,c(X1)),X2)),multiplication(c(X1),c(X2))))&leq(addition(addition(multiplication(addition(X2,c(X2)),X1),multiplication(addition(X1,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(multiplication(addition(X2,c(X2)),X1),multiplication(addition(X1,c(X1)),X2)),multiplication(c(X1),c(X2))))&leq(addition(addition(multiplication(addition(X2,c(X2)),X1),multiplication(addition(X1,c(X1)),X2)),multiplication(c(X1),c(X2))),one)))),inference(assume_negation,[status(cth)],[19])).
% 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(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])).
% cnf(35,plain,(addition(X1,X2)=X2|~leq(X1,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(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(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(multiplication(addition(X2,c(X2)),X1),multiplication(addition(X1,c(X1)),X2)),multiplication(c(X1),c(X2)))))|~(leq(addition(addition(multiplication(addition(X2,c(X2)),X1),multiplication(addition(X1,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(multiplication(addition(X4,c(X4)),X3),multiplication(addition(X3,c(X3)),X4)),multiplication(c(X3),c(X4)))))|~(leq(addition(addition(multiplication(addition(X4,c(X4)),X3),multiplication(addition(X3,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(multiplication(addition(esk3_0,c(esk3_0)),esk2_0),multiplication(addition(esk2_0,c(esk2_0)),esk3_0)),multiplication(c(esk2_0),c(esk3_0)))))|~(leq(addition(addition(multiplication(addition(esk3_0,c(esk3_0)),esk2_0),multiplication(addition(esk2_0,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(multiplication(addition(esk3_0,c(esk3_0)),esk2_0),multiplication(addition(esk2_0,c(esk2_0)),esk3_0)),multiplication(c(esk2_0),c(esk3_0))),one)|~leq(one,addition(addition(multiplication(addition(esk3_0,c(esk3_0)),esk2_0),multiplication(addition(esk2_0,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(82,plain,(leq(X1,X1)),inference(spm,[status(thm)],[34,45,theory(equality)])).
% cnf(83,plain,(complement(X1,c(X1))|~test(X1)),inference(er,[status(thm)],[55,theory(equality)])).
% cnf(85,plain,(addition(X1,esk1_1(X1))=one|~test(X1)),inference(spm,[status(thm)],[60,67,theory(equality)])).
% cnf(86,plain,(multiplication(X1,esk1_1(X1))=zero|~test(X1)),inference(spm,[status(thm)],[62,67,theory(equality)])).
% cnf(88,plain,(multiplication(esk1_1(X1),X1)=zero|~test(X1)),inference(spm,[status(thm)],[61,67,theory(equality)])).
% cnf(100,plain,(addition(X1,X2)=addition(X1,addition(X1,X2))),inference(spm,[status(thm)],[43,45,theory(equality)])).
% cnf(101,negated_conjecture,(~leq(one,addition(multiplication(addition(esk3_0,c(esk3_0)),esk2_0),addition(multiplication(addition(esk2_0,c(esk2_0)),esk3_0),multiplication(c(esk2_0),c(esk3_0)))))|~leq(addition(addition(multiplication(addition(esk3_0,c(esk3_0)),esk2_0),multiplication(addition(esk2_0,c(esk2_0)),esk3_0)),multiplication(c(esk2_0),c(esk3_0))),one)),inference(rw,[status(thm)],[78,43,theory(equality)])).
% cnf(102,negated_conjecture,(~leq(one,addition(multiplication(addition(esk3_0,c(esk3_0)),esk2_0),addition(multiplication(addition(esk2_0,c(esk2_0)),esk3_0),multiplication(c(esk2_0),c(esk3_0)))))|~leq(addition(multiplication(addition(esk3_0,c(esk3_0)),esk2_0),addition(multiplication(addition(esk2_0,c(esk2_0)),esk3_0),multiplication(c(esk2_0),c(esk3_0)))),one)),inference(rw,[status(thm)],[101,43,theory(equality)])).
% cnf(123,plain,(addition(X3,addition(X1,X2))=addition(X1,addition(X2,X3))),inference(spm,[status(thm)],[43,41,theory(equality)])).
% cnf(124,plain,(addition(zero,X1)=X1),inference(spm,[status(thm)],[70,41,theory(equality)])).
% cnf(128,plain,(complement(X1,X2)|addition(X1,X2)!=one|multiplication(X2,X1)!=zero|multiplication(X1,X2)!=zero),inference(spm,[status(thm)],[59,41,theory(equality)])).
% cnf(141,plain,(leq(multiplication(X1,X2),multiplication(X1,X3))|multiplication(X1,addition(X2,X3))!=multiplication(X1,X3)),inference(spm,[status(thm)],[34,37,theory(equality)])).
% cnf(176,plain,(leq(multiplication(X1,X2),multiplication(X3,X2))|multiplication(addition(X1,X3),X2)!=multiplication(X3,X2)),inference(spm,[status(thm)],[34,39,theory(equality)])).
% cnf(219,negated_conjecture,(~leq(one,addition(multiplication(addition(esk3_0,c(esk3_0)),esk2_0),addition(multiplication(c(esk2_0),c(esk3_0)),multiplication(addition(esk2_0,c(esk2_0)),esk3_0))))|~leq(addition(multiplication(addition(esk3_0,c(esk3_0)),esk2_0),addition(multiplication(addition(esk2_0,c(esk2_0)),esk3_0),multiplication(c(esk2_0),c(esk3_0)))),one)),inference(rw,[status(thm)],[102,41,theory(equality)])).
% cnf(220,negated_conjecture,(~leq(one,addition(multiplication(addition(esk3_0,c(esk3_0)),esk2_0),addition(multiplication(c(esk2_0),c(esk3_0)),multiplication(addition(esk2_0,c(esk2_0)),esk3_0))))|~leq(addition(multiplication(addition(esk3_0,c(esk3_0)),esk2_0),addition(multiplication(c(esk2_0),c(esk3_0)),multiplication(addition(esk2_0,c(esk2_0)),esk3_0))),one)),inference(rw,[status(thm)],[219,41,theory(equality)])).
% cnf(221,negated_conjecture,(~leq(one,addition(multiplication(addition(esk3_0,c(esk3_0)),esk2_0),addition(c(addition(esk2_0,esk3_0)),multiplication(addition(esk2_0,c(esk2_0)),esk3_0))))|~leq(addition(multiplication(addition(esk3_0,c(esk3_0)),esk2_0),addition(c(addition(esk2_0,esk3_0)),multiplication(addition(esk2_0,c(esk2_0)),esk3_0))),one)|~test(esk3_0)|~test(esk2_0)),inference(spm,[status(thm)],[220,24,theory(equality)])).
% cnf(222,negated_conjecture,(~leq(one,addition(multiplication(addition(esk3_0,c(esk3_0)),esk2_0),addition(c(addition(esk2_0,esk3_0)),multiplication(addition(esk2_0,c(esk2_0)),esk3_0))))|~leq(addition(multiplication(addition(esk3_0,c(esk3_0)),esk2_0),addition(c(addition(esk2_0,esk3_0)),multiplication(addition(esk2_0,c(esk2_0)),esk3_0))),one)|$false|~test(esk2_0)),inference(rw,[status(thm)],[221,80,theory(equality)])).
% cnf(223,negated_conjecture,(~leq(one,addition(multiplication(addition(esk3_0,c(esk3_0)),esk2_0),addition(c(addition(esk2_0,esk3_0)),multiplication(addition(esk2_0,c(esk2_0)),esk3_0))))|~leq(addition(multiplication(addition(esk3_0,c(esk3_0)),esk2_0),addition(c(addition(esk2_0,esk3_0)),multiplication(addition(esk2_0,c(esk2_0)),esk3_0))),one)|$false|$false),inference(rw,[status(thm)],[222,79,theory(equality)])).
% cnf(224,negated_conjecture,(~leq(one,addition(multiplication(addition(esk3_0,c(esk3_0)),esk2_0),addition(c(addition(esk2_0,esk3_0)),multiplication(addition(esk2_0,c(esk2_0)),esk3_0))))|~leq(addition(multiplication(addition(esk3_0,c(esk3_0)),esk2_0),addition(c(addition(esk2_0,esk3_0)),multiplication(addition(esk2_0,c(esk2_0)),esk3_0))),one)),inference(cn,[status(thm)],[223,theory(equality)])).
% cnf(242,plain,(addition(c(X1),X1)=one|~test(X1)),inference(spm,[status(thm)],[60,83,theory(equality)])).
% cnf(358,plain,(leq(X1,addition(X1,X2))),inference(spm,[status(thm)],[34,100,theory(equality)])).
% cnf(368,plain,(addition(X1,one)=one|~test(X1)),inference(spm,[status(thm)],[100,85,theory(equality)])).
% cnf(394,plain,(leq(X1,addition(X2,X1))),inference(spm,[status(thm)],[358,41,theory(equality)])).
% cnf(406,plain,(leq(X1,addition(X2,addition(X3,X1)))),inference(spm,[status(thm)],[394,43,theory(equality)])).
% cnf(460,negated_conjecture,(addition(esk3_0,one)=one),inference(spm,[status(thm)],[368,80,theory(equality)])).
% cnf(461,negated_conjecture,(addition(esk2_0,one)=one),inference(spm,[status(thm)],[368,79,theory(equality)])).
% cnf(535,plain,(zero=multiplication(X1,multiplication(X2,esk1_1(multiplication(X1,X2))))|~test(multiplication(X1,X2))),inference(spm,[status(thm)],[47,86,theory(equality)])).
% cnf(539,plain,(addition(multiplication(X1,X2),zero)=multiplication(X1,addition(X2,esk1_1(X1)))|~test(X1)),inference(spm,[status(thm)],[37,86,theory(equality)])).
% cnf(547,plain,(multiplication(X1,X2)=multiplication(X1,addition(X2,esk1_1(X1)))|~test(X1)),inference(rw,[status(thm)],[539,70,theory(equality)])).
% cnf(739,plain,(multiplication(zero,X2)=multiplication(esk1_1(X1),multiplication(X1,X2))|~test(X1)),inference(spm,[status(thm)],[47,88,theory(equality)])).
% cnf(742,plain,(addition(multiplication(esk1_1(X1),X2),zero)=multiplication(esk1_1(X1),addition(X2,X1))|~test(X1)),inference(spm,[status(thm)],[37,88,theory(equality)])).
% cnf(749,plain,(zero=multiplication(esk1_1(X1),multiplication(X1,X2))|~test(X1)),inference(rw,[status(thm)],[739,74,theory(equality)])).
% cnf(752,plain,(multiplication(esk1_1(X1),X2)=multiplication(esk1_1(X1),addition(X2,X1))|~test(X1)),inference(rw,[status(thm)],[742,70,theory(equality)])).
% cnf(821,plain,(complement(X1,esk1_1(X1))|multiplication(esk1_1(X1),X1)!=zero|multiplication(X1,esk1_1(X1))!=zero|~test(X1)),inference(spm,[status(thm)],[128,85,theory(equality)])).
% cnf(1592,plain,(addition(multiplication(X1,X2),addition(X3,multiplication(X4,X2)))=addition(X3,multiplication(addition(X4,X1),X2))),inference(spm,[status(thm)],[123,39,theory(equality)])).
% cnf(1621,negated_conjecture,(~leq(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))))|~leq(addition(multiplication(addition(esk3_0,c(esk3_0)),esk2_0),addition(c(addition(esk2_0,esk3_0)),multiplication(addition(esk2_0,c(esk2_0)),esk3_0))),one)),inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[224,123,theory(equality)]),41,theory(equality)]),123,theory(equality)]),41,theory(equality)])).
% cnf(1622,negated_conjecture,(~leq(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))))|~leq(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)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1621,123,theory(equality)]),41,theory(equality)]),123,theory(equality)]),41,theory(equality)])).
% cnf(2069,plain,(addition(X1,c(X1))=one|~test(X1)),inference(rw,[status(thm)],[242,41,theory(equality)])).
% cnf(2071,negated_conjecture,(~leq(one,addition(c(addition(esk2_0,esk3_0)),addition(multiplication(addition(esk2_0,c(esk2_0)),esk3_0),multiplication(one,esk2_0))))|~leq(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)],[1622,2069,theory(equality)])).
% cnf(2117,negated_conjecture,(~leq(one,addition(c(addition(esk2_0,esk3_0)),addition(multiplication(addition(esk2_0,c(esk2_0)),esk3_0),esk2_0)))|~leq(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(rw,[status(thm)],[2071,31,theory(equality)])).
% cnf(2118,negated_conjecture,(~leq(one,addition(c(addition(esk2_0,esk3_0)),addition(multiplication(addition(esk2_0,c(esk2_0)),esk3_0),esk2_0)))|~leq(addition(c(addition(esk2_0,esk3_0)),addition(multiplication(addition(esk2_0,c(esk2_0)),esk3_0),esk2_0)),one)|~test(esk3_0)),inference(rw,[status(thm)],[2117,31,theory(equality)])).
% cnf(2119,negated_conjecture,(~leq(one,addition(c(addition(esk2_0,esk3_0)),addition(multiplication(addition(esk2_0,c(esk2_0)),esk3_0),esk2_0)))|~leq(addition(c(addition(esk2_0,esk3_0)),addition(multiplication(addition(esk2_0,c(esk2_0)),esk3_0),esk2_0)),one)|$false),inference(rw,[status(thm)],[2118,80,theory(equality)])).
% cnf(2120,negated_conjecture,(~leq(one,addition(c(addition(esk2_0,esk3_0)),addition(multiplication(addition(esk2_0,c(esk2_0)),esk3_0),esk2_0)))|~leq(addition(c(addition(esk2_0,esk3_0)),addition(multiplication(addition(esk2_0,c(esk2_0)),esk3_0),esk2_0)),one)),inference(cn,[status(thm)],[2119,theory(equality)])).
% cnf(2171,negated_conjecture,(~leq(one,addition(esk2_0,addition(c(addition(esk2_0,esk3_0)),multiplication(addition(esk2_0,c(esk2_0)),esk3_0))))|~leq(addition(c(addition(esk2_0,esk3_0)),addition(multiplication(addition(esk2_0,c(esk2_0)),esk3_0),esk2_0)),one)),inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[2120,41,theory(equality)]),123,theory(equality)]),41,theory(equality)])).
% cnf(2172,negated_conjecture,(~leq(one,addition(esk2_0,addition(c(addition(esk2_0,esk3_0)),multiplication(addition(esk2_0,c(esk2_0)),esk3_0))))|~leq(addition(esk2_0,addition(c(addition(esk2_0,esk3_0)),multiplication(addition(esk2_0,c(esk2_0)),esk3_0))),one)),inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[2171,41,theory(equality)]),123,theory(equality)]),41,theory(equality)])).
% cnf(2174,negated_conjecture,(~leq(one,addition(esk2_0,addition(c(addition(esk2_0,esk3_0)),multiplication(one,esk3_0))))|~leq(addition(esk2_0,addition(c(addition(esk2_0,esk3_0)),multiplication(one,esk3_0))),one)|~test(esk2_0)),inference(spm,[status(thm)],[2172,2069,theory(equality)])).
% cnf(2179,negated_conjecture,(~leq(one,addition(esk2_0,addition(c(addition(esk2_0,esk3_0)),esk3_0)))|~leq(addition(esk2_0,addition(c(addition(esk2_0,esk3_0)),multiplication(one,esk3_0))),one)|~test(esk2_0)),inference(rw,[status(thm)],[2174,31,theory(equality)])).
% cnf(2180,negated_conjecture,(~leq(one,addition(esk2_0,addition(c(addition(esk2_0,esk3_0)),esk3_0)))|~leq(addition(esk2_0,addition(c(addition(esk2_0,esk3_0)),esk3_0)),one)|~test(esk2_0)),inference(rw,[status(thm)],[2179,31,theory(equality)])).
% cnf(2181,negated_conjecture,(~leq(one,addition(esk2_0,addition(c(addition(esk2_0,esk3_0)),esk3_0)))|~leq(addition(esk2_0,addition(c(addition(esk2_0,esk3_0)),esk3_0)),one)|$false),inference(rw,[status(thm)],[2180,79,theory(equality)])).
% cnf(2182,negated_conjecture,(~leq(one,addition(esk2_0,addition(c(addition(esk2_0,esk3_0)),esk3_0)))|~leq(addition(esk2_0,addition(c(addition(esk2_0,esk3_0)),esk3_0)),one)),inference(cn,[status(thm)],[2181,theory(equality)])).
% cnf(2186,negated_conjecture,(~leq(one,addition(esk2_0,addition(esk3_0,c(addition(esk2_0,esk3_0)))))|~leq(addition(esk2_0,addition(c(addition(esk2_0,esk3_0)),esk3_0)),one)),inference(rw,[status(thm)],[2182,41,theory(equality)])).
% cnf(2187,negated_conjecture,(~leq(one,addition(esk2_0,addition(esk3_0,c(addition(esk2_0,esk3_0)))))|~leq(addition(esk2_0,addition(esk3_0,c(addition(esk2_0,esk3_0)))),one)),inference(rw,[status(thm)],[2186,41,theory(equality)])).
% cnf(2929,negated_conjecture,(leq(multiplication(X1,esk3_0),multiplication(X1,one))),inference(spm,[status(thm)],[141,460,theory(equality)])).
% cnf(2934,negated_conjecture,(leq(multiplication(X1,esk2_0),multiplication(X1,one))),inference(spm,[status(thm)],[141,461,theory(equality)])).
% cnf(2963,negated_conjecture,(leq(multiplication(X1,esk3_0),X1)),inference(rw,[status(thm)],[2929,29,theory(equality)])).
% cnf(2964,negated_conjecture,(leq(multiplication(X1,esk2_0),X1)),inference(rw,[status(thm)],[2934,29,theory(equality)])).
% cnf(2982,negated_conjecture,(addition(multiplication(X1,esk3_0),X1)=X1),inference(spm,[status(thm)],[35,2963,theory(equality)])).
% cnf(2986,negated_conjecture,(leq(multiplication(X1,multiplication(X2,esk3_0)),multiplication(X1,X2))),inference(spm,[status(thm)],[2963,47,theory(equality)])).
% cnf(2996,negated_conjecture,(addition(multiplication(X1,esk2_0),X1)=X1),inference(spm,[status(thm)],[35,2964,theory(equality)])).
% cnf(3010,negated_conjecture,(addition(X1,multiplication(X1,esk3_0))=X1),inference(rw,[status(thm)],[2982,41,theory(equality)])).
% cnf(3027,negated_conjecture,(addition(X1,X2)=addition(X1,addition(multiplication(X1,esk3_0),X2))),inference(spm,[status(thm)],[43,3010,theory(equality)])).
% cnf(3089,negated_conjecture,(addition(X1,multiplication(X1,esk2_0))=X1),inference(rw,[status(thm)],[2996,41,theory(equality)])).
% cnf(5375,negated_conjecture,(leq(multiplication(esk3_0,X1),multiplication(one,X1))),inference(spm,[status(thm)],[176,460,theory(equality)])).
% cnf(5380,negated_conjecture,(leq(multiplication(esk2_0,X1),multiplication(one,X1))),inference(spm,[status(thm)],[176,461,theory(equality)])).
% cnf(5421,negated_conjecture,(leq(multiplication(esk3_0,X1),X1)),inference(rw,[status(thm)],[5375,31,theory(equality)])).
% cnf(5422,negated_conjecture,(leq(multiplication(esk2_0,X1),X1)),inference(rw,[status(thm)],[5380,31,theory(equality)])).
% cnf(5479,negated_conjecture,(addition(multiplication(esk3_0,X1),X1)=X1),inference(spm,[status(thm)],[35,5421,theory(equality)])).
% cnf(5494,negated_conjecture,(addition(multiplication(esk2_0,X1),X1)=X1),inference(spm,[status(thm)],[35,5422,theory(equality)])).
% cnf(5509,negated_conjecture,(addition(X1,multiplication(esk3_0,X1))=X1),inference(rw,[status(thm)],[5479,41,theory(equality)])).
% cnf(5557,negated_conjecture,(leq(multiplication(esk3_0,X1),addition(X2,X1))),inference(spm,[status(thm)],[406,5509,theory(equality)])).
% cnf(5620,negated_conjecture,(addition(X1,multiplication(esk2_0,X1))=X1),inference(rw,[status(thm)],[5494,41,theory(equality)])).
% cnf(5668,negated_conjecture,(leq(multiplication(esk2_0,X1),addition(X2,X1))),inference(spm,[status(thm)],[406,5620,theory(equality)])).
% cnf(6831,negated_conjecture,(leq(multiplication(esk3_0,multiplication(esk2_0,X1)),X1)),inference(spm,[status(thm)],[5557,5620,theory(equality)])).
% cnf(6943,negated_conjecture,(leq(multiplication(esk2_0,multiplication(esk3_0,X1)),X1)),inference(spm,[status(thm)],[5668,5509,theory(equality)])).
% cnf(7420,negated_conjecture,(addition(multiplication(esk3_0,multiplication(esk2_0,X1)),X1)=X1),inference(spm,[status(thm)],[35,6831,theory(equality)])).
% cnf(7536,negated_conjecture,(addition(multiplication(esk2_0,multiplication(esk3_0,X1)),X1)=X1),inference(spm,[status(thm)],[35,6943,theory(equality)])).
% cnf(11530,negated_conjecture,(addition(X1,multiplication(esk3_0,multiplication(esk2_0,X1)))=X1),inference(rw,[status(thm)],[7420,41,theory(equality)])).
% cnf(11701,negated_conjecture,(addition(X1,multiplication(esk2_0,multiplication(esk3_0,X1)))=X1),inference(rw,[status(thm)],[7536,41,theory(equality)])).
% cnf(32368,plain,(multiplication(X1,one)=multiplication(X1,X1)|~test(X1)),inference(spm,[status(thm)],[547,85,theory(equality)])).
% cnf(32472,plain,(X1=multiplication(X1,X1)|~test(X1)),inference(rw,[status(thm)],[32368,29,theory(equality)])).
% cnf(40616,negated_conjecture,(multiplication(esk3_0,esk3_0)=esk3_0),inference(spm,[status(thm)],[32472,80,theory(equality)])).
% cnf(40617,negated_conjecture,(multiplication(esk2_0,esk2_0)=esk2_0),inference(spm,[status(thm)],[32472,79,theory(equality)])).
% cnf(40698,negated_conjecture,(multiplication(esk3_0,X1)=multiplication(esk3_0,multiplication(esk3_0,X1))),inference(spm,[status(thm)],[47,40616,theory(equality)])).
% cnf(40712,negated_conjecture,(multiplication(esk3_0,multiplication(esk3_0,esk1_1(esk3_0)))=zero|~test(esk3_0)),inference(spm,[status(thm)],[535,40616,theory(equality)])).
% cnf(40714,negated_conjecture,(multiplication(esk1_1(esk3_0),esk3_0)=zero|~test(esk3_0)),inference(spm,[status(thm)],[749,40616,theory(equality)])).
% cnf(40796,negated_conjecture,(multiplication(esk3_0,multiplication(esk3_0,esk1_1(esk3_0)))=zero|$false),inference(rw,[status(thm)],[40712,80,theory(equality)])).
% cnf(40797,negated_conjecture,(multiplication(esk3_0,multiplication(esk3_0,esk1_1(esk3_0)))=zero),inference(cn,[status(thm)],[40796,theory(equality)])).
% cnf(40801,negated_conjecture,(multiplication(esk1_1(esk3_0),esk3_0)=zero|$false),inference(rw,[status(thm)],[40714,80,theory(equality)])).
% cnf(40802,negated_conjecture,(multiplication(esk1_1(esk3_0),esk3_0)=zero),inference(cn,[status(thm)],[40801,theory(equality)])).
% cnf(40845,negated_conjecture,(multiplication(esk2_0,X1)=multiplication(esk2_0,multiplication(esk2_0,X1))),inference(spm,[status(thm)],[47,40617,theory(equality)])).
% cnf(40859,negated_conjecture,(multiplication(esk2_0,multiplication(esk2_0,esk1_1(esk2_0)))=zero|~test(esk2_0)),inference(spm,[status(thm)],[535,40617,theory(equality)])).
% cnf(40861,negated_conjecture,(multiplication(esk1_1(esk2_0),esk2_0)=zero|~test(esk2_0)),inference(spm,[status(thm)],[749,40617,theory(equality)])).
% cnf(40937,negated_conjecture,(multiplication(esk2_0,multiplication(esk2_0,esk1_1(esk2_0)))=zero|$false),inference(rw,[status(thm)],[40859,79,theory(equality)])).
% cnf(40938,negated_conjecture,(multiplication(esk2_0,multiplication(esk2_0,esk1_1(esk2_0)))=zero),inference(cn,[status(thm)],[40937,theory(equality)])).
% cnf(40942,negated_conjecture,(multiplication(esk1_1(esk2_0),esk2_0)=zero|$false),inference(rw,[status(thm)],[40861,79,theory(equality)])).
% cnf(40943,negated_conjecture,(multiplication(esk1_1(esk2_0),esk2_0)=zero),inference(cn,[status(thm)],[40942,theory(equality)])).
% cnf(40986,negated_conjecture,(addition(zero,multiplication(esk1_1(esk3_0),X1))=multiplication(esk1_1(esk3_0),addition(esk3_0,X1))),inference(spm,[status(thm)],[37,40802,theory(equality)])).
% cnf(41052,negated_conjecture,(multiplication(esk1_1(esk3_0),X1)=multiplication(esk1_1(esk3_0),addition(esk3_0,X1))),inference(rw,[status(thm)],[40986,124,theory(equality)])).
% cnf(41347,negated_conjecture,(addition(zero,multiplication(esk1_1(esk2_0),X1))=multiplication(esk1_1(esk2_0),addition(esk2_0,X1))),inference(spm,[status(thm)],[37,40943,theory(equality)])).
% cnf(41404,negated_conjecture,(multiplication(esk1_1(esk2_0),X1)=multiplication(esk1_1(esk2_0),addition(esk2_0,X1))),inference(rw,[status(thm)],[41347,124,theory(equality)])).
% cnf(42506,negated_conjecture,(multiplication(esk3_0,esk1_1(esk3_0))=zero),inference(rw,[status(thm)],[40797,40698,theory(equality)])).
% cnf(43995,negated_conjecture,(addition(multiplication(esk2_0,X1),multiplication(esk2_0,X2))=multiplication(esk2_0,addition(multiplication(esk2_0,X1),X2))),inference(spm,[status(thm)],[37,40845,theory(equality)])).
% cnf(44077,negated_conjecture,(multiplication(esk2_0,addition(X1,X2))=multiplication(esk2_0,addition(multiplication(esk2_0,X1),X2))),inference(rw,[status(thm)],[43995,37,theory(equality)])).
% cnf(44576,negated_conjecture,(multiplication(esk2_0,esk1_1(esk2_0))=zero),inference(rw,[status(thm)],[40938,40845,theory(equality)])).
% cnf(46579,plain,(complement(X1,esk1_1(X1))|multiplication(esk1_1(X1),X1)!=zero|~test(X1)),inference(csr,[status(thm)],[821,86])).
% cnf(46580,plain,(complement(X1,esk1_1(X1))|~test(X1)),inference(csr,[status(thm)],[46579,88])).
% cnf(46581,plain,(test(esk1_1(X1))|~test(X1)),inference(spm,[status(thm)],[68,46580,theory(equality)])).
% cnf(46584,plain,(c(X1)=esk1_1(X1)|~test(X1)),inference(spm,[status(thm)],[54,46580,theory(equality)])).
% cnf(47908,negated_conjecture,(multiplication(esk3_0,c(esk3_0))=zero|~test(esk3_0)),inference(spm,[status(thm)],[42506,46584,theory(equality)])).
% cnf(47909,negated_conjecture,(multiplication(c(esk3_0),esk3_0)=zero|~test(esk3_0)),inference(spm,[status(thm)],[40802,46584,theory(equality)])).
% cnf(47980,negated_conjecture,(multiplication(esk2_0,c(esk2_0))=zero|~test(esk2_0)),inference(spm,[status(thm)],[44576,46584,theory(equality)])).
% cnf(47985,negated_conjecture,(multiplication(c(esk2_0),esk2_0)=zero|~test(esk2_0)),inference(spm,[status(thm)],[40943,46584,theory(equality)])).
% cnf(48019,negated_conjecture,(multiplication(esk3_0,c(esk3_0))=zero|$false),inference(rw,[status(thm)],[47908,80,theory(equality)])).
% cnf(48020,negated_conjecture,(multiplication(esk3_0,c(esk3_0))=zero),inference(cn,[status(thm)],[48019,theory(equality)])).
% cnf(48021,negated_conjecture,(multiplication(c(esk3_0),esk3_0)=zero|$false),inference(rw,[status(thm)],[47909,80,theory(equality)])).
% cnf(48022,negated_conjecture,(multiplication(c(esk3_0),esk3_0)=zero),inference(cn,[status(thm)],[48021,theory(equality)])).
% cnf(48191,negated_conjecture,(multiplication(esk2_0,c(esk2_0))=zero|$false),inference(rw,[status(thm)],[47980,79,theory(equality)])).
% cnf(48192,negated_conjecture,(multiplication(esk2_0,c(esk2_0))=zero),inference(cn,[status(thm)],[48191,theory(equality)])).
% cnf(48201,negated_conjecture,(multiplication(c(esk2_0),esk2_0)=zero|$false),inference(rw,[status(thm)],[47985,79,theory(equality)])).
% cnf(48202,negated_conjecture,(multiplication(c(esk2_0),esk2_0)=zero),inference(cn,[status(thm)],[48201,theory(equality)])).
% cnf(48222,negated_conjecture,(addition(zero,multiplication(X1,c(esk3_0)))=multiplication(addition(esk3_0,X1),c(esk3_0))),inference(spm,[status(thm)],[39,48020,theory(equality)])).
% cnf(48294,negated_conjecture,(multiplication(X1,c(esk3_0))=multiplication(addition(esk3_0,X1),c(esk3_0))),inference(rw,[status(thm)],[48222,124,theory(equality)])).
% cnf(48370,negated_conjecture,(addition(zero,multiplication(X1,esk3_0))=multiplication(addition(c(esk3_0),X1),esk3_0)),inference(spm,[status(thm)],[39,48022,theory(equality)])).
% cnf(48440,negated_conjecture,(multiplication(X1,esk3_0)=multiplication(addition(c(esk3_0),X1),esk3_0)),inference(rw,[status(thm)],[48370,124,theory(equality)])).
% cnf(48543,negated_conjecture,(addition(zero,multiplication(X1,c(esk2_0)))=multiplication(addition(esk2_0,X1),c(esk2_0))),inference(spm,[status(thm)],[39,48192,theory(equality)])).
% cnf(48609,negated_conjecture,(multiplication(X1,c(esk2_0))=multiplication(addition(esk2_0,X1),c(esk2_0))),inference(rw,[status(thm)],[48543,124,theory(equality)])).
% cnf(48682,negated_conjecture,(addition(zero,multiplication(X1,esk2_0))=multiplication(addition(c(esk2_0),X1),esk2_0)),inference(spm,[status(thm)],[39,48202,theory(equality)])).
% cnf(48743,negated_conjecture,(multiplication(X1,esk2_0)=multiplication(addition(c(esk2_0),X1),esk2_0)),inference(rw,[status(thm)],[48682,124,theory(equality)])).
% cnf(50064,negated_conjecture,(multiplication(esk1_1(esk3_0),esk3_0)=multiplication(esk1_1(esk3_0),multiplication(esk2_0,multiplication(esk3_0,esk3_0)))),inference(spm,[status(thm)],[41052,11701,theory(equality)])).
% cnf(50076,negated_conjecture,(multiplication(esk1_1(esk3_0),one)=multiplication(esk1_1(esk3_0),c(esk3_0))|~test(esk3_0)),inference(spm,[status(thm)],[41052,2069,theory(equality)])).
% cnf(50140,negated_conjecture,(zero=multiplication(esk1_1(esk3_0),multiplication(esk2_0,multiplication(esk3_0,esk3_0)))),inference(rw,[status(thm)],[50064,40802,theory(equality)])).
% cnf(50141,negated_conjecture,(zero=multiplication(esk1_1(esk3_0),multiplication(esk2_0,esk3_0))),inference(rw,[status(thm)],[50140,40616,theory(equality)])).
% cnf(50161,negated_conjecture,(esk1_1(esk3_0)=multiplication(esk1_1(esk3_0),c(esk3_0))|~test(esk3_0)),inference(rw,[status(thm)],[50076,29,theory(equality)])).
% cnf(50162,negated_conjecture,(esk1_1(esk3_0)=multiplication(esk1_1(esk3_0),c(esk3_0))|$false),inference(rw,[status(thm)],[50161,80,theory(equality)])).
% cnf(50163,negated_conjecture,(esk1_1(esk3_0)=multiplication(esk1_1(esk3_0),c(esk3_0))),inference(cn,[status(thm)],[50162,theory(equality)])).
% cnf(50821,negated_conjecture,(multiplication(c(esk3_0),multiplication(esk2_0,esk3_0))=zero|~test(esk3_0)),inference(spm,[status(thm)],[50141,46584,theory(equality)])).
% cnf(50886,negated_conjecture,(multiplication(c(esk3_0),multiplication(esk2_0,esk3_0))=zero|$false),inference(rw,[status(thm)],[50821,80,theory(equality)])).
% cnf(50887,negated_conjecture,(multiplication(c(esk3_0),multiplication(esk2_0,esk3_0))=zero),inference(cn,[status(thm)],[50886,theory(equality)])).
% cnf(52071,negated_conjecture,(addition(zero,multiplication(X1,multiplication(esk2_0,esk3_0)))=multiplication(addition(c(esk3_0),X1),multiplication(esk2_0,esk3_0))),inference(spm,[status(thm)],[39,50887,theory(equality)])).
% cnf(52128,negated_conjecture,(multiplication(X1,multiplication(esk2_0,esk3_0))=multiplication(addition(c(esk3_0),X1),multiplication(esk2_0,esk3_0))),inference(rw,[status(thm)],[52071,124,theory(equality)])).
% cnf(53095,negated_conjecture,(multiplication(esk1_1(esk2_0),esk2_0)=multiplication(esk1_1(esk2_0),multiplication(esk3_0,multiplication(esk2_0,esk2_0)))),inference(spm,[status(thm)],[41404,11530,theory(equality)])).
% cnf(53113,negated_conjecture,(multiplication(esk1_1(esk2_0),one)=multiplication(esk1_1(esk2_0),c(esk2_0))|~test(esk2_0)),inference(spm,[status(thm)],[41404,2069,theory(equality)])).
% cnf(53168,negated_conjecture,(zero=multiplication(esk1_1(esk2_0),multiplication(esk3_0,multiplication(esk2_0,esk2_0)))),inference(rw,[status(thm)],[53095,40943,theory(equality)])).
% cnf(53169,negated_conjecture,(zero=multiplication(esk1_1(esk2_0),multiplication(esk3_0,esk2_0))),inference(rw,[status(thm)],[53168,40617,theory(equality)])).
% cnf(53200,negated_conjecture,(esk1_1(esk2_0)=multiplication(esk1_1(esk2_0),c(esk2_0))|~test(esk2_0)),inference(rw,[status(thm)],[53113,29,theory(equality)])).
% cnf(53201,negated_conjecture,(esk1_1(esk2_0)=multiplication(esk1_1(esk2_0),c(esk2_0))|$false),inference(rw,[status(thm)],[53200,79,theory(equality)])).
% cnf(53202,negated_conjecture,(esk1_1(esk2_0)=multiplication(esk1_1(esk2_0),c(esk2_0))),inference(cn,[status(thm)],[53201,theory(equality)])).
% cnf(53685,negated_conjecture,(multiplication(c(esk2_0),multiplication(esk3_0,esk2_0))=zero|~test(esk2_0)),inference(spm,[status(thm)],[53169,46584,theory(equality)])).
% cnf(53749,negated_conjecture,(multiplication(c(esk2_0),multiplication(esk3_0,esk2_0))=zero|$false),inference(rw,[status(thm)],[53685,79,theory(equality)])).
% cnf(53750,negated_conjecture,(multiplication(c(esk2_0),multiplication(esk3_0,esk2_0))=zero),inference(cn,[status(thm)],[53749,theory(equality)])).
% cnf(53762,negated_conjecture,(addition(zero,multiplication(X1,multiplication(esk3_0,esk2_0)))=multiplication(addition(c(esk2_0),X1),multiplication(esk3_0,esk2_0))),inference(spm,[status(thm)],[39,53750,theory(equality)])).
% cnf(53819,negated_conjecture,(multiplication(X1,multiplication(esk3_0,esk2_0))=multiplication(addition(c(esk2_0),X1),multiplication(esk3_0,esk2_0))),inference(rw,[status(thm)],[53762,124,theory(equality)])).
% cnf(66556,negated_conjecture,(multiplication(one,c(esk3_0))=multiplication(esk1_1(esk3_0),c(esk3_0))|~test(esk3_0)),inference(spm,[status(thm)],[48294,85,theory(equality)])).
% cnf(66645,negated_conjecture,(c(esk3_0)=multiplication(esk1_1(esk3_0),c(esk3_0))|~test(esk3_0)),inference(rw,[status(thm)],[66556,31,theory(equality)])).
% cnf(66646,negated_conjecture,(c(esk3_0)=esk1_1(esk3_0)|~test(esk3_0)),inference(rw,[status(thm)],[66645,50163,theory(equality)])).
% cnf(66647,negated_conjecture,(c(esk3_0)=esk1_1(esk3_0)|$false),inference(rw,[status(thm)],[66646,80,theory(equality)])).
% cnf(66648,negated_conjecture,(c(esk3_0)=esk1_1(esk3_0)),inference(cn,[status(thm)],[66647,theory(equality)])).
% cnf(66700,negated_conjecture,(addition(esk3_0,c(esk3_0))=one|~test(esk3_0)),inference(spm,[status(thm)],[85,66648,theory(equality)])).
% cnf(66719,negated_conjecture,(test(c(esk3_0))|~test(esk3_0)),inference(spm,[status(thm)],[46581,66648,theory(equality)])).
% cnf(66801,negated_conjecture,(addition(esk3_0,c(esk3_0))=one|$false),inference(rw,[status(thm)],[66700,80,theory(equality)])).
% cnf(66802,negated_conjecture,(addition(esk3_0,c(esk3_0))=one),inference(cn,[status(thm)],[66801,theory(equality)])).
% cnf(66848,negated_conjecture,(test(c(esk3_0))|$false),inference(rw,[status(thm)],[66719,80,theory(equality)])).
% cnf(66849,negated_conjecture,(test(c(esk3_0))),inference(cn,[status(thm)],[66848,theory(equality)])).
% cnf(67212,negated_conjecture,(multiplication(esk1_1(c(esk3_0)),one)=multiplication(esk1_1(c(esk3_0)),esk3_0)|~test(c(esk3_0))),inference(spm,[status(thm)],[752,66802,theory(equality)])).
% cnf(67340,negated_conjecture,(esk1_1(c(esk3_0))=multiplication(esk1_1(c(esk3_0)),esk3_0)|~test(c(esk3_0))),inference(rw,[status(thm)],[67212,29,theory(equality)])).
% cnf(67341,negated_conjecture,(esk1_1(c(esk3_0))=multiplication(esk1_1(c(esk3_0)),esk3_0)|$false),inference(rw,[status(thm)],[67340,66849,theory(equality)])).
% cnf(67342,negated_conjecture,(esk1_1(c(esk3_0))=multiplication(esk1_1(c(esk3_0)),esk3_0)),inference(cn,[status(thm)],[67341,theory(equality)])).
% cnf(69052,negated_conjecture,(multiplication(one,esk3_0)=multiplication(esk1_1(c(esk3_0)),esk3_0)|~test(c(esk3_0))),inference(spm,[status(thm)],[48440,85,theory(equality)])).
% cnf(69178,negated_conjecture,(esk3_0=multiplication(esk1_1(c(esk3_0)),esk3_0)|~test(c(esk3_0))),inference(rw,[status(thm)],[69052,31,theory(equality)])).
% cnf(69179,negated_conjecture,(esk3_0=esk1_1(c(esk3_0))|~test(c(esk3_0))),inference(rw,[status(thm)],[69178,67342,theory(equality)])).
% cnf(69180,negated_conjecture,(esk3_0=esk1_1(c(esk3_0))|$false),inference(rw,[status(thm)],[69179,66849,theory(equality)])).
% cnf(69181,negated_conjecture,(esk3_0=esk1_1(c(esk3_0))),inference(cn,[status(thm)],[69180,theory(equality)])).
% cnf(70847,negated_conjecture,(multiplication(one,c(esk2_0))=multiplication(esk1_1(esk2_0),c(esk2_0))|~test(esk2_0)),inference(spm,[status(thm)],[48609,85,theory(equality)])).
% cnf(70935,negated_conjecture,(c(esk2_0)=multiplication(esk1_1(esk2_0),c(esk2_0))|~test(esk2_0)),inference(rw,[status(thm)],[70847,31,theory(equality)])).
% cnf(70936,negated_conjecture,(c(esk2_0)=esk1_1(esk2_0)|~test(esk2_0)),inference(rw,[status(thm)],[70935,53202,theory(equality)])).
% cnf(70937,negated_conjecture,(c(esk2_0)=esk1_1(esk2_0)|$false),inference(rw,[status(thm)],[70936,79,theory(equality)])).
% cnf(70938,negated_conjecture,(c(esk2_0)=esk1_1(esk2_0)),inference(cn,[status(thm)],[70937,theory(equality)])).
% cnf(70986,negated_conjecture,(addition(esk2_0,c(esk2_0))=one|~test(esk2_0)),inference(spm,[status(thm)],[85,70938,theory(equality)])).
% cnf(71005,negated_conjecture,(test(c(esk2_0))|~test(esk2_0)),inference(spm,[status(thm)],[46581,70938,theory(equality)])).
% cnf(71081,negated_conjecture,(addition(esk2_0,c(esk2_0))=one|$false),inference(rw,[status(thm)],[70986,79,theory(equality)])).
% cnf(71082,negated_conjecture,(addition(esk2_0,c(esk2_0))=one),inference(cn,[status(thm)],[71081,theory(equality)])).
% cnf(71128,negated_conjecture,(test(c(esk2_0))|$false),inference(rw,[status(thm)],[71005,79,theory(equality)])).
% cnf(71129,negated_conjecture,(test(c(esk2_0))),inference(cn,[status(thm)],[71128,theory(equality)])).
% cnf(71567,negated_conjecture,(multiplication(esk1_1(c(esk2_0)),one)=multiplication(esk1_1(c(esk2_0)),esk2_0)|~test(c(esk2_0))),inference(spm,[status(thm)],[752,71082,theory(equality)])).
% cnf(71693,negated_conjecture,(esk1_1(c(esk2_0))=multiplication(esk1_1(c(esk2_0)),esk2_0)|~test(c(esk2_0))),inference(rw,[status(thm)],[71567,29,theory(equality)])).
% cnf(71694,negated_conjecture,(esk1_1(c(esk2_0))=multiplication(esk1_1(c(esk2_0)),esk2_0)|$false),inference(rw,[status(thm)],[71693,71129,theory(equality)])).
% cnf(71695,negated_conjecture,(esk1_1(c(esk2_0))=multiplication(esk1_1(c(esk2_0)),esk2_0)),inference(cn,[status(thm)],[71694,theory(equality)])).
% cnf(73284,negated_conjecture,(multiplication(one,esk2_0)=multiplication(esk1_1(c(esk2_0)),esk2_0)|~test(c(esk2_0))),inference(spm,[status(thm)],[48743,85,theory(equality)])).
% cnf(73411,negated_conjecture,(esk2_0=multiplication(esk1_1(c(esk2_0)),esk2_0)|~test(c(esk2_0))),inference(rw,[status(thm)],[73284,31,theory(equality)])).
% cnf(73412,negated_conjecture,(esk2_0=esk1_1(c(esk2_0))|~test(c(esk2_0))),inference(rw,[status(thm)],[73411,71695,theory(equality)])).
% cnf(73413,negated_conjecture,(esk2_0=esk1_1(c(esk2_0))|$false),inference(rw,[status(thm)],[73412,71129,theory(equality)])).
% cnf(73414,negated_conjecture,(esk2_0=esk1_1(c(esk2_0))),inference(cn,[status(thm)],[73413,theory(equality)])).
% cnf(176063,negated_conjecture,(multiplication(one,multiplication(esk2_0,esk3_0))=multiplication(esk1_1(c(esk3_0)),multiplication(esk2_0,esk3_0))|~test(c(esk3_0))),inference(spm,[status(thm)],[52128,85,theory(equality)])).
% cnf(176179,negated_conjecture,(multiplication(esk2_0,esk3_0)=multiplication(esk1_1(c(esk3_0)),multiplication(esk2_0,esk3_0))|~test(c(esk3_0))),inference(rw,[status(thm)],[176063,31,theory(equality)])).
% cnf(176180,negated_conjecture,(multiplication(esk2_0,esk3_0)=multiplication(esk3_0,multiplication(esk2_0,esk3_0))|~test(c(esk3_0))),inference(rw,[status(thm)],[176179,69181,theory(equality)])).
% cnf(176181,negated_conjecture,(multiplication(esk2_0,esk3_0)=multiplication(esk3_0,multiplication(esk2_0,esk3_0))|$false),inference(rw,[status(thm)],[176180,66849,theory(equality)])).
% cnf(176182,negated_conjecture,(multiplication(esk2_0,esk3_0)=multiplication(esk3_0,multiplication(esk2_0,esk3_0))),inference(cn,[status(thm)],[176181,theory(equality)])).
% cnf(176316,negated_conjecture,(leq(multiplication(esk2_0,esk3_0),multiplication(esk3_0,esk2_0))),inference(spm,[status(thm)],[2986,176182,theory(equality)])).
% cnf(176868,negated_conjecture,(addition(multiplication(esk2_0,esk3_0),multiplication(esk3_0,esk2_0))=multiplication(esk3_0,esk2_0)),inference(spm,[status(thm)],[35,176316,theory(equality)])).
% cnf(178075,negated_conjecture,(multiplication(esk2_0,multiplication(esk3_0,esk2_0))=multiplication(esk2_0,addition(esk3_0,multiplication(esk3_0,esk2_0)))),inference(spm,[status(thm)],[44077,176868,theory(equality)])).
% cnf(178208,negated_conjecture,(multiplication(esk2_0,multiplication(esk3_0,esk2_0))=multiplication(esk2_0,esk3_0)),inference(rw,[status(thm)],[178075,3089,theory(equality)])).
% cnf(200413,negated_conjecture,(multiplication(one,multiplication(esk3_0,esk2_0))=multiplication(esk1_1(c(esk2_0)),multiplication(esk3_0,esk2_0))|~test(c(esk2_0))),inference(spm,[status(thm)],[53819,85,theory(equality)])).
% cnf(200537,negated_conjecture,(multiplication(esk3_0,esk2_0)=multiplication(esk1_1(c(esk2_0)),multiplication(esk3_0,esk2_0))|~test(c(esk2_0))),inference(rw,[status(thm)],[200413,31,theory(equality)])).
% cnf(200538,negated_conjecture,(multiplication(esk3_0,esk2_0)=multiplication(esk2_0,esk3_0)|~test(c(esk2_0))),inference(rw,[status(thm)],[inference(rw,[status(thm)],[200537,73414,theory(equality)]),178208,theory(equality)])).
% cnf(200539,negated_conjecture,(multiplication(esk3_0,esk2_0)=multiplication(esk2_0,esk3_0)|$false),inference(rw,[status(thm)],[200538,71129,theory(equality)])).
% cnf(200540,negated_conjecture,(multiplication(esk3_0,esk2_0)=multiplication(esk2_0,esk3_0)),inference(cn,[status(thm)],[200539,theory(equality)])).
% cnf(200626,negated_conjecture,(addition(multiplication(esk2_0,esk3_0),multiplication(esk3_0,X1))=multiplication(esk3_0,addition(esk2_0,X1))),inference(spm,[status(thm)],[37,200540,theory(equality)])).
% cnf(208329,negated_conjecture,(addition(esk2_0,multiplication(esk3_0,addition(esk2_0,X1)))=addition(esk2_0,multiplication(esk3_0,X1))),inference(spm,[status(thm)],[3027,200626,theory(equality)])).
% cnf(217269,negated_conjecture,(addition(esk2_0,multiplication(esk3_0,one))=addition(esk2_0,multiplication(esk3_0,esk1_1(esk2_0)))|~test(esk2_0)),inference(spm,[status(thm)],[208329,85,theory(equality)])).
% cnf(217478,negated_conjecture,(addition(esk2_0,esk3_0)=addition(esk2_0,multiplication(esk3_0,esk1_1(esk2_0)))|~test(esk2_0)),inference(rw,[status(thm)],[217269,29,theory(equality)])).
% cnf(217479,negated_conjecture,(addition(esk2_0,esk3_0)=addition(esk2_0,multiplication(esk3_0,c(esk2_0)))|~test(esk2_0)),inference(rw,[status(thm)],[217478,70938,theory(equality)])).
% cnf(217480,negated_conjecture,(addition(esk2_0,esk3_0)=addition(esk2_0,multiplication(esk3_0,c(esk2_0)))|$false),inference(rw,[status(thm)],[217479,79,theory(equality)])).
% cnf(217481,negated_conjecture,(addition(esk2_0,esk3_0)=addition(esk2_0,multiplication(esk3_0,c(esk2_0)))),inference(cn,[status(thm)],[217480,theory(equality)])).
% cnf(217750,negated_conjecture,(addition(multiplication(X1,c(esk2_0)),addition(esk2_0,esk3_0))=addition(esk2_0,multiplication(addition(esk3_0,X1),c(esk2_0)))),inference(spm,[status(thm)],[1592,217481,theory(equality)])).
% cnf(487098,negated_conjecture,(addition(esk2_0,addition(esk3_0,multiplication(X1,c(esk2_0))))=addition(esk2_0,multiplication(addition(esk3_0,X1),c(esk2_0)))),inference(rw,[status(thm)],[217750,123,theory(equality)])).
% cnf(487381,negated_conjecture,(addition(esk2_0,multiplication(one,c(esk2_0)))=addition(esk2_0,addition(esk3_0,multiplication(esk1_1(esk3_0),c(esk2_0))))|~test(esk3_0)),inference(spm,[status(thm)],[487098,85,theory(equality)])).
% cnf(487710,negated_conjecture,(one=addition(esk2_0,addition(esk3_0,multiplication(esk1_1(esk3_0),c(esk2_0))))|~test(esk3_0)),inference(rw,[status(thm)],[inference(rw,[status(thm)],[487381,31,theory(equality)]),71082,theory(equality)])).
% cnf(487711,negated_conjecture,(one=addition(esk2_0,addition(esk3_0,multiplication(c(esk3_0),c(esk2_0))))|~test(esk3_0)),inference(rw,[status(thm)],[487710,66648,theory(equality)])).
% cnf(487712,negated_conjecture,(one=addition(esk2_0,addition(esk3_0,multiplication(c(esk3_0),c(esk2_0))))|$false),inference(rw,[status(thm)],[487711,80,theory(equality)])).
% cnf(487713,negated_conjecture,(one=addition(esk2_0,addition(esk3_0,multiplication(c(esk3_0),c(esk2_0))))),inference(cn,[status(thm)],[487712,theory(equality)])).
% cnf(804078,negated_conjecture,(addition(esk2_0,addition(esk3_0,c(addition(esk3_0,esk2_0))))=one|~test(esk2_0)|~test(esk3_0)),inference(spm,[status(thm)],[487713,24,theory(equality)])).
% cnf(804649,negated_conjecture,(addition(esk2_0,addition(esk3_0,c(addition(esk2_0,esk3_0))))=one|~test(esk2_0)|~test(esk3_0)),inference(rw,[status(thm)],[804078,41,theory(equality)])).
% cnf(804650,negated_conjecture,(addition(esk2_0,addition(esk3_0,c(addition(esk2_0,esk3_0))))=one|$false|~test(esk3_0)),inference(rw,[status(thm)],[804649,79,theory(equality)])).
% cnf(804651,negated_conjecture,(addition(esk2_0,addition(esk3_0,c(addition(esk2_0,esk3_0))))=one|$false|$false),inference(rw,[status(thm)],[804650,80,theory(equality)])).
% cnf(804652,negated_conjecture,(addition(esk2_0,addition(esk3_0,c(addition(esk2_0,esk3_0))))=one),inference(cn,[status(thm)],[804651,theory(equality)])).
% cnf(806066,negated_conjecture,($false|~leq(addition(esk2_0,addition(esk3_0,c(addition(esk2_0,esk3_0)))),one)),inference(rw,[status(thm)],[inference(rw,[status(thm)],[2187,804652,theory(equality)]),82,theory(equality)])).
% cnf(806067,negated_conjecture,($false|$false),inference(rw,[status(thm)],[inference(rw,[status(thm)],[806066,804652,theory(equality)]),82,theory(equality)])).
% cnf(806068,negated_conjecture,($false),inference(cn,[status(thm)],[806067,theory(equality)])).
% cnf(806069,negated_conjecture,($false),806068,['proof']).
% # SZS output end CNFRefutation
% # Processed clauses : 20461
% # ...of these trivial : 2377
% # ...subsumed : 15645
% # ...remaining for further processing: 2439
% # Other redundant clauses eliminated : 5
% # Clauses deleted for lack of memory : 0
% # Backward-subsumed : 58
% # Backward-rewritten : 465
% # Generated clauses : 384982
% # ...of the previous two non-trivial : 265197
% # Contextual simplify-reflections : 1849
% # Paramodulations : 384915
% # Factorizations : 2
% # Equation resolutions : 65
% # Current number of processed clauses: 1916
% # Positive orientable unit clauses: 718
% # Positive unorientable unit clauses: 23
% # Negative unit clauses : 0
% # Non-unit-clauses : 1175
% # Current number of unprocessed clauses: 217279
% # ...number of literals in the above : 501153
% # Clause-clause subsumption calls (NU) : 131165
% # Rec. Clause-clause subsumption calls : 127347
% # Unit Clause-clause subsumption calls : 302
% # Rewrite failures with RHS unbound : 0
% # Indexed BW rewrite attempts : 4026
% # Indexed BW rewrite successes : 504
% # Backwards rewriting index: 1158 leaves, 1.88+/-2.177 terms/leaf
% # Paramod-from index: 668 leaves, 1.65+/-1.324 terms/leaf
% # Paramod-into index: 836 leaves, 1.83+/-1.886 terms/leaf
% # -------------------------------------------------
% # User time : 11.676 s
% # System time : 0.480 s
% # Total time : 12.156 s
% # Maximum resident set size: 0 pages
% PrfWatch: 23.00 CPU 23.29 WC
% FINAL PrfWatch: 23.00 CPU 23.29 WC
% SZS output end Solution for /tmp/SystemOnTPTP8780/KLE011+4.tptp
%
%------------------------------------------------------------------------------