TSTP Solution File: KLE019+1 by SRASS---0.1
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- Process Solution
%------------------------------------------------------------------------------
% File : SRASS---0.1
% Problem : KLE019+1 : TPTP v5.0.0. Released v4.0.0.
% Transfm : none
% Format : tptp
% Command : SRASS -q2 -a 0 10 10 10 -i3 -n60 %s
% Computer : art03.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 07:33:46 EST 2010
% Result : Theorem 16.82s
% Output : Solution 16.82s
% 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/SystemOnTPTP7496/KLE019+1.tptp
% Adding relevance values
% Extracting the conjecture
% Sorting axioms by relevance
% Looking for THM ...
% found
% SZS status THM for /tmp/SystemOnTPTP7496/KLE019+1.tptp
% SZS output start Solution for /tmp/SystemOnTPTP7496/KLE019+1.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 7592
% TreeLimitedRun: ----------------------------------------------------------
% PrfWatch: 0.00 CPU 0.00 WC
% PrfWatch: 1.92 CPU 2.01 WC
% PrfWatch: 3.91 CPU 4.01 WC
% PrfWatch: 5.90 CPU 6.02 WC
% PrfWatch: 7.90 CPU 8.02 WC
% # Preprocessing time : 0.011 s
% # Problem is unsatisfiable (or provable), constructing proof object
% # SZS status Theorem
% PrfWatch: 9.88 CPU 10.03 WC
% PrfWatch: 11.87 CPU 12.03 WC
% PrfWatch: 13.87 CPU 14.04 WC
% PrfWatch: 15.86 CPU 16.04 WC
% # SZS output start CNFRefutation.
% fof(1, axiom,![X1]:![X2]:(leq(X1,X2)<=>addition(X1,X2)=X2),file('/tmp/SRASS.s.p', order)).
% fof(2, axiom,![X1]:![X2]:![X3]:multiplication(X1,addition(X2,X3))=addition(multiplication(X1,X2),multiplication(X1,X3)),file('/tmp/SRASS.s.p', right_distributivity)).
% fof(3, axiom,![X1]:![X2]:![X3]:multiplication(addition(X1,X2),X3)=addition(multiplication(X1,X3),multiplication(X2,X3)),file('/tmp/SRASS.s.p', left_distributivity)).
% fof(4, axiom,![X1]:![X2]:addition(X1,X2)=addition(X2,X1),file('/tmp/SRASS.s.p', additive_commutativity)).
% fof(5, axiom,![X3]:![X2]:![X1]:addition(X1,addition(X2,X3))=addition(addition(X1,X2),X3),file('/tmp/SRASS.s.p', additive_associativity)).
% fof(6, axiom,![X1]:addition(X1,X1)=X1,file('/tmp/SRASS.s.p', additive_idempotence)).
% fof(7, axiom,![X1]:![X2]:![X3]:multiplication(X1,multiplication(X2,X3))=multiplication(multiplication(X1,X2),X3),file('/tmp/SRASS.s.p', multiplicative_associativity)).
% fof(9, axiom,![X4]:![X5]:(test(X4)=>(c(X4)=X5<=>complement(X4,X5))),file('/tmp/SRASS.s.p', test_3)).
% fof(10, axiom,![X4]:(test(X4)<=>?[X5]:complement(X5,X4)),file('/tmp/SRASS.s.p', test_1)).
% fof(11, axiom,![X1]:addition(X1,zero)=X1,file('/tmp/SRASS.s.p', additive_identity)).
% fof(14, axiom,![X1]:multiplication(X1,one)=X1,file('/tmp/SRASS.s.p', multiplicative_right_identity)).
% fof(15, axiom,![X1]:multiplication(one,X1)=X1,file('/tmp/SRASS.s.p', multiplicative_left_identity)).
% fof(16, axiom,![X4]:![X5]:(complement(X5,X4)<=>((multiplication(X4,X5)=zero&multiplication(X5,X4)=zero)&addition(X4,X5)=one)),file('/tmp/SRASS.s.p', test_2)).
% fof(17, conjecture,![X4]:![X5]:![X6]:(((test(X4)&test(X5))&test(X6))=>(leq(multiplication(X4,c(X5)),X6)<=leq(X4,addition(X5,X6)))),file('/tmp/SRASS.s.p', goals)).
% fof(18, negated_conjecture,~(![X4]:![X5]:![X6]:(((test(X4)&test(X5))&test(X6))=>(leq(multiplication(X4,c(X5)),X6)<=leq(X4,addition(X5,X6))))),inference(assume_negation,[status(cth)],[17])).
% fof(20, negated_conjecture,~(![X4]:![X5]:![X6]:(((test(X4)&test(X5))&test(X6))=>(leq(X4,addition(X5,X6))=>leq(multiplication(X4,c(X5)),X6)))),inference(fof_simplification,[status(thm)],[18,theory(equality)])).
% fof(21, plain,![X1]:![X2]:((~(leq(X1,X2))|addition(X1,X2)=X2)&(~(addition(X1,X2)=X2)|leq(X1,X2))),inference(fof_nnf,[status(thm)],[1])).
% fof(22, plain,![X3]:![X4]:((~(leq(X3,X4))|addition(X3,X4)=X4)&(~(addition(X3,X4)=X4)|leq(X3,X4))),inference(variable_rename,[status(thm)],[21])).
% cnf(23,plain,(leq(X1,X2)|addition(X1,X2)!=X2),inference(split_conjunct,[status(thm)],[22])).
% cnf(24,plain,(addition(X1,X2)=X2|~leq(X1,X2)),inference(split_conjunct,[status(thm)],[22])).
% fof(25, plain,![X4]:![X5]:![X6]:multiplication(X4,addition(X5,X6))=addition(multiplication(X4,X5),multiplication(X4,X6)),inference(variable_rename,[status(thm)],[2])).
% cnf(26,plain,(multiplication(X1,addition(X2,X3))=addition(multiplication(X1,X2),multiplication(X1,X3))),inference(split_conjunct,[status(thm)],[25])).
% fof(27, plain,![X4]:![X5]:![X6]:multiplication(addition(X4,X5),X6)=addition(multiplication(X4,X6),multiplication(X5,X6)),inference(variable_rename,[status(thm)],[3])).
% cnf(28,plain,(multiplication(addition(X1,X2),X3)=addition(multiplication(X1,X3),multiplication(X2,X3))),inference(split_conjunct,[status(thm)],[27])).
% fof(29, plain,![X3]:![X4]:addition(X3,X4)=addition(X4,X3),inference(variable_rename,[status(thm)],[4])).
% cnf(30,plain,(addition(X1,X2)=addition(X2,X1)),inference(split_conjunct,[status(thm)],[29])).
% fof(31, plain,![X4]:![X5]:![X6]:addition(X6,addition(X5,X4))=addition(addition(X6,X5),X4),inference(variable_rename,[status(thm)],[5])).
% cnf(32,plain,(addition(X1,addition(X2,X3))=addition(addition(X1,X2),X3)),inference(split_conjunct,[status(thm)],[31])).
% fof(33, plain,![X2]:addition(X2,X2)=X2,inference(variable_rename,[status(thm)],[6])).
% cnf(34,plain,(addition(X1,X1)=X1),inference(split_conjunct,[status(thm)],[33])).
% fof(35, plain,![X4]:![X5]:![X6]:multiplication(X4,multiplication(X5,X6))=multiplication(multiplication(X4,X5),X6),inference(variable_rename,[status(thm)],[7])).
% cnf(36,plain,(multiplication(X1,multiplication(X2,X3))=multiplication(multiplication(X1,X2),X3)),inference(split_conjunct,[status(thm)],[35])).
% fof(40, plain,![X4]:![X5]:(~(test(X4))|((~(c(X4)=X5)|complement(X4,X5))&(~(complement(X4,X5))|c(X4)=X5))),inference(fof_nnf,[status(thm)],[9])).
% fof(41, plain,![X6]:![X7]:(~(test(X6))|((~(c(X6)=X7)|complement(X6,X7))&(~(complement(X6,X7))|c(X6)=X7))),inference(variable_rename,[status(thm)],[40])).
% fof(42, plain,![X6]:![X7]:(((~(c(X6)=X7)|complement(X6,X7))|~(test(X6)))&((~(complement(X6,X7))|c(X6)=X7)|~(test(X6)))),inference(distribute,[status(thm)],[41])).
% cnf(44,plain,(complement(X1,X2)|~test(X1)|c(X1)!=X2),inference(split_conjunct,[status(thm)],[42])).
% fof(45, plain,![X4]:((~(test(X4))|?[X5]:complement(X5,X4))&(![X5]:~(complement(X5,X4))|test(X4))),inference(fof_nnf,[status(thm)],[10])).
% fof(46, plain,![X6]:((~(test(X6))|?[X7]:complement(X7,X6))&(![X8]:~(complement(X8,X6))|test(X6))),inference(variable_rename,[status(thm)],[45])).
% fof(47, plain,![X6]:((~(test(X6))|complement(esk1_1(X6),X6))&(![X8]:~(complement(X8,X6))|test(X6))),inference(skolemize,[status(esa)],[46])).
% fof(48, plain,![X6]:![X8]:((~(complement(X8,X6))|test(X6))&(~(test(X6))|complement(esk1_1(X6),X6))),inference(shift_quantors,[status(thm)],[47])).
% cnf(49,plain,(complement(esk1_1(X1),X1)|~test(X1)),inference(split_conjunct,[status(thm)],[48])).
% cnf(50,plain,(test(X1)|~complement(X2,X1)),inference(split_conjunct,[status(thm)],[48])).
% fof(51, plain,![X2]:addition(X2,zero)=X2,inference(variable_rename,[status(thm)],[11])).
% cnf(52,plain,(addition(X1,zero)=X1),inference(split_conjunct,[status(thm)],[51])).
% fof(57, plain,![X2]:multiplication(X2,one)=X2,inference(variable_rename,[status(thm)],[14])).
% cnf(58,plain,(multiplication(X1,one)=X1),inference(split_conjunct,[status(thm)],[57])).
% fof(59, plain,![X2]:multiplication(one,X2)=X2,inference(variable_rename,[status(thm)],[15])).
% cnf(60,plain,(multiplication(one,X1)=X1),inference(split_conjunct,[status(thm)],[59])).
% fof(61, plain,![X4]:![X5]:((~(complement(X5,X4))|((multiplication(X4,X5)=zero&multiplication(X5,X4)=zero)&addition(X4,X5)=one))&(((~(multiplication(X4,X5)=zero)|~(multiplication(X5,X4)=zero))|~(addition(X4,X5)=one))|complement(X5,X4))),inference(fof_nnf,[status(thm)],[16])).
% fof(62, plain,![X6]:![X7]:((~(complement(X7,X6))|((multiplication(X6,X7)=zero&multiplication(X7,X6)=zero)&addition(X6,X7)=one))&(((~(multiplication(X6,X7)=zero)|~(multiplication(X7,X6)=zero))|~(addition(X6,X7)=one))|complement(X7,X6))),inference(variable_rename,[status(thm)],[61])).
% fof(63, plain,![X6]:![X7]:((((multiplication(X6,X7)=zero|~(complement(X7,X6)))&(multiplication(X7,X6)=zero|~(complement(X7,X6))))&(addition(X6,X7)=one|~(complement(X7,X6))))&(((~(multiplication(X6,X7)=zero)|~(multiplication(X7,X6)=zero))|~(addition(X6,X7)=one))|complement(X7,X6))),inference(distribute,[status(thm)],[62])).
% cnf(65,plain,(addition(X2,X1)=one|~complement(X1,X2)),inference(split_conjunct,[status(thm)],[63])).
% cnf(66,plain,(multiplication(X1,X2)=zero|~complement(X1,X2)),inference(split_conjunct,[status(thm)],[63])).
% cnf(67,plain,(multiplication(X2,X1)=zero|~complement(X1,X2)),inference(split_conjunct,[status(thm)],[63])).
% fof(68, negated_conjecture,?[X4]:?[X5]:?[X6]:(((test(X4)&test(X5))&test(X6))&(leq(X4,addition(X5,X6))&~(leq(multiplication(X4,c(X5)),X6)))),inference(fof_nnf,[status(thm)],[20])).
% fof(69, negated_conjecture,?[X7]:?[X8]:?[X9]:(((test(X7)&test(X8))&test(X9))&(leq(X7,addition(X8,X9))&~(leq(multiplication(X7,c(X8)),X9)))),inference(variable_rename,[status(thm)],[68])).
% fof(70, negated_conjecture,(((test(esk2_0)&test(esk3_0))&test(esk4_0))&(leq(esk2_0,addition(esk3_0,esk4_0))&~(leq(multiplication(esk2_0,c(esk3_0)),esk4_0)))),inference(skolemize,[status(esa)],[69])).
% cnf(71,negated_conjecture,(~leq(multiplication(esk2_0,c(esk3_0)),esk4_0)),inference(split_conjunct,[status(thm)],[70])).
% cnf(72,negated_conjecture,(leq(esk2_0,addition(esk3_0,esk4_0))),inference(split_conjunct,[status(thm)],[70])).
% cnf(73,negated_conjecture,(test(esk4_0)),inference(split_conjunct,[status(thm)],[70])).
% cnf(74,negated_conjecture,(test(esk3_0)),inference(split_conjunct,[status(thm)],[70])).
% cnf(75,negated_conjecture,(test(esk2_0)),inference(split_conjunct,[status(thm)],[70])).
% cnf(79,negated_conjecture,(addition(esk2_0,addition(esk3_0,esk4_0))=addition(esk3_0,esk4_0)),inference(spm,[status(thm)],[24,72,theory(equality)])).
% cnf(82,negated_conjecture,(complement(esk1_1(esk4_0),esk4_0)),inference(spm,[status(thm)],[49,73,theory(equality)])).
% cnf(83,negated_conjecture,(complement(esk1_1(esk3_0),esk3_0)),inference(spm,[status(thm)],[49,74,theory(equality)])).
% cnf(84,negated_conjecture,(complement(esk1_1(esk2_0),esk2_0)),inference(spm,[status(thm)],[49,75,theory(equality)])).
% cnf(85,plain,(complement(X1,c(X1))|~test(X1)),inference(er,[status(thm)],[44,theory(equality)])).
% cnf(92,plain,(addition(X1,X2)=addition(X1,addition(X1,X2))),inference(spm,[status(thm)],[32,34,theory(equality)])).
% cnf(113,plain,(addition(X3,addition(X1,X2))=addition(X1,addition(X2,X3))),inference(spm,[status(thm)],[32,30,theory(equality)])).
% cnf(114,plain,(addition(zero,X1)=X1),inference(spm,[status(thm)],[52,30,theory(equality)])).
% cnf(116,plain,(leq(X1,X2)|addition(X2,X1)!=X2),inference(spm,[status(thm)],[23,30,theory(equality)])).
% cnf(117,plain,(addition(addition(X2,X1),X3)=addition(X1,addition(X2,X3))),inference(spm,[status(thm)],[32,30,theory(equality)])).
% cnf(124,plain,(addition(X2,addition(X1,X3))=addition(X1,addition(X2,X3))),inference(rw,[status(thm)],[117,32,theory(equality)])).
% cnf(135,plain,(addition(multiplication(X1,X2),X1)=multiplication(X1,addition(X2,one))),inference(spm,[status(thm)],[26,58,theory(equality)])).
% cnf(162,plain,(addition(multiplication(addition(X1,X3),X2),X4)=addition(multiplication(X1,X2),addition(multiplication(X3,X2),X4))),inference(spm,[status(thm)],[32,28,theory(equality)])).
% cnf(165,plain,(addition(multiplication(X1,X2),X2)=multiplication(addition(X1,one),X2)),inference(spm,[status(thm)],[28,60,theory(equality)])).
% cnf(205,negated_conjecture,(addition(esk4_0,esk1_1(esk4_0))=one),inference(spm,[status(thm)],[65,82,theory(equality)])).
% cnf(206,negated_conjecture,(multiplication(esk4_0,esk1_1(esk4_0))=zero),inference(spm,[status(thm)],[67,82,theory(equality)])).
% cnf(211,negated_conjecture,(addition(esk3_0,esk1_1(esk3_0))=one),inference(spm,[status(thm)],[65,83,theory(equality)])).
% cnf(217,negated_conjecture,(addition(esk2_0,esk1_1(esk2_0))=one),inference(spm,[status(thm)],[65,84,theory(equality)])).
% cnf(231,negated_conjecture,(addition(multiplication(esk4_0,X1),zero)=multiplication(esk4_0,addition(X1,esk1_1(esk4_0)))),inference(spm,[status(thm)],[26,206,theory(equality)])).
% cnf(234,negated_conjecture,(multiplication(esk4_0,X1)=multiplication(esk4_0,addition(X1,esk1_1(esk4_0)))),inference(rw,[status(thm)],[231,52,theory(equality)])).
% cnf(250,negated_conjecture,(complement(esk4_0,c(esk4_0))),inference(spm,[status(thm)],[85,73,theory(equality)])).
% cnf(251,negated_conjecture,(complement(esk3_0,c(esk3_0))),inference(spm,[status(thm)],[85,74,theory(equality)])).
% cnf(252,negated_conjecture,(complement(esk2_0,c(esk2_0))),inference(spm,[status(thm)],[85,75,theory(equality)])).
% cnf(301,negated_conjecture,(test(c(esk4_0))),inference(spm,[status(thm)],[50,250,theory(equality)])).
% cnf(304,negated_conjecture,(multiplication(esk4_0,c(esk4_0))=zero),inference(spm,[status(thm)],[66,250,theory(equality)])).
% cnf(307,negated_conjecture,(complement(esk1_1(c(esk4_0)),c(esk4_0))),inference(spm,[status(thm)],[49,301,theory(equality)])).
% cnf(311,negated_conjecture,(test(c(esk3_0))),inference(spm,[status(thm)],[50,251,theory(equality)])).
% cnf(313,negated_conjecture,(multiplication(c(esk3_0),esk3_0)=zero),inference(spm,[status(thm)],[67,251,theory(equality)])).
% cnf(317,negated_conjecture,(complement(esk1_1(c(esk3_0)),c(esk3_0))),inference(spm,[status(thm)],[49,311,theory(equality)])).
% cnf(322,negated_conjecture,(addition(c(esk2_0),esk2_0)=one),inference(spm,[status(thm)],[65,252,theory(equality)])).
% cnf(323,negated_conjecture,(multiplication(c(esk2_0),esk2_0)=zero),inference(spm,[status(thm)],[67,252,theory(equality)])).
% cnf(324,negated_conjecture,(multiplication(esk2_0,c(esk2_0))=zero),inference(spm,[status(thm)],[66,252,theory(equality)])).
% cnf(460,negated_conjecture,(addition(multiplication(esk4_0,X1),zero)=multiplication(esk4_0,addition(X1,c(esk4_0)))),inference(spm,[status(thm)],[26,304,theory(equality)])).
% cnf(461,negated_conjecture,(addition(multiplication(X1,c(esk4_0)),zero)=multiplication(addition(X1,esk4_0),c(esk4_0))),inference(spm,[status(thm)],[28,304,theory(equality)])).
% cnf(466,negated_conjecture,(multiplication(esk4_0,X1)=multiplication(esk4_0,addition(X1,c(esk4_0)))),inference(rw,[status(thm)],[460,52,theory(equality)])).
% cnf(467,negated_conjecture,(multiplication(X1,c(esk4_0))=multiplication(addition(X1,esk4_0),c(esk4_0))),inference(rw,[status(thm)],[461,52,theory(equality)])).
% cnf(482,negated_conjecture,(addition(zero,multiplication(c(esk3_0),X1))=multiplication(c(esk3_0),addition(esk3_0,X1))),inference(spm,[status(thm)],[26,313,theory(equality)])).
% cnf(488,negated_conjecture,(multiplication(c(esk3_0),X1)=multiplication(c(esk3_0),addition(esk3_0,X1))),inference(rw,[status(thm)],[482,114,theory(equality)])).
% cnf(507,negated_conjecture,(addition(esk2_0,c(esk2_0))=one),inference(rw,[status(thm)],[322,30,theory(equality)])).
% cnf(509,negated_conjecture,(addition(one,X1)=addition(esk2_0,addition(c(esk2_0),X1))),inference(spm,[status(thm)],[32,507,theory(equality)])).
% cnf(517,plain,(leq(X1,addition(X1,X2))),inference(spm,[status(thm)],[23,92,theory(equality)])).
% cnf(522,negated_conjecture,(addition(esk4_0,one)=one),inference(spm,[status(thm)],[92,205,theory(equality)])).
% cnf(524,negated_conjecture,(addition(esk3_0,one)=one),inference(spm,[status(thm)],[92,211,theory(equality)])).
% cnf(526,negated_conjecture,(addition(esk2_0,one)=one),inference(spm,[status(thm)],[92,217,theory(equality)])).
% cnf(549,negated_conjecture,(addition(one,esk4_0)=one),inference(rw,[status(thm)],[522,30,theory(equality)])).
% cnf(562,negated_conjecture,(addition(one,esk3_0)=one),inference(rw,[status(thm)],[524,30,theory(equality)])).
% cnf(564,negated_conjecture,(addition(one,X1)=addition(one,addition(esk3_0,X1))),inference(spm,[status(thm)],[32,562,theory(equality)])).
% cnf(575,negated_conjecture,(addition(one,esk2_0)=one),inference(rw,[status(thm)],[526,30,theory(equality)])).
% cnf(592,negated_conjecture,(addition(multiplication(X1,esk2_0),zero)=multiplication(addition(X1,c(esk2_0)),esk2_0)),inference(spm,[status(thm)],[28,323,theory(equality)])).
% cnf(598,negated_conjecture,(multiplication(X1,esk2_0)=multiplication(addition(X1,c(esk2_0)),esk2_0)),inference(rw,[status(thm)],[592,52,theory(equality)])).
% cnf(626,negated_conjecture,(addition(zero,multiplication(esk2_0,X1))=multiplication(esk2_0,addition(c(esk2_0),X1))),inference(spm,[status(thm)],[26,324,theory(equality)])).
% cnf(628,negated_conjecture,(addition(multiplication(esk2_0,X1),zero)=multiplication(esk2_0,addition(X1,c(esk2_0)))),inference(spm,[status(thm)],[26,324,theory(equality)])).
% cnf(632,negated_conjecture,(multiplication(esk2_0,X1)=multiplication(esk2_0,addition(c(esk2_0),X1))),inference(rw,[status(thm)],[626,114,theory(equality)])).
% cnf(634,negated_conjecture,(multiplication(esk2_0,X1)=multiplication(esk2_0,addition(X1,c(esk2_0)))),inference(rw,[status(thm)],[628,52,theory(equality)])).
% cnf(738,negated_conjecture,(addition(addition(esk3_0,esk4_0),addition(X1,esk2_0))=addition(X1,addition(esk3_0,esk4_0))),inference(spm,[status(thm)],[113,79,theory(equality)])).
% cnf(770,plain,(addition(X1,addition(X3,X2))=addition(X2,addition(X3,X1))),inference(spm,[status(thm)],[113,30,theory(equality)])).
% cnf(795,negated_conjecture,(addition(esk3_0,addition(esk4_0,addition(X1,esk2_0)))=addition(X1,addition(esk3_0,esk4_0))),inference(rw,[status(thm)],[738,32,theory(equality)])).
% cnf(808,negated_conjecture,(addition(c(esk4_0),esk1_1(c(esk4_0)))=one),inference(spm,[status(thm)],[65,307,theory(equality)])).
% cnf(846,negated_conjecture,(addition(c(esk3_0),esk1_1(c(esk3_0)))=one),inference(spm,[status(thm)],[65,317,theory(equality)])).
% cnf(1076,negated_conjecture,(addition(c(esk4_0),one)=one),inference(spm,[status(thm)],[92,808,theory(equality)])).
% cnf(1087,negated_conjecture,(addition(one,c(esk4_0))=one),inference(rw,[status(thm)],[1076,30,theory(equality)])).
% cnf(1157,plain,(leq(multiplication(X1,X2),multiplication(addition(X1,X3),X2))),inference(spm,[status(thm)],[517,28,theory(equality)])).
% cnf(1393,negated_conjecture,(addition(c(esk3_0),one)=one),inference(spm,[status(thm)],[92,846,theory(equality)])).
% cnf(1406,negated_conjecture,(addition(one,c(esk3_0))=one),inference(rw,[status(thm)],[1393,30,theory(equality)])).
% cnf(1838,plain,(addition(X1,multiplication(X1,X2))=multiplication(X1,addition(X2,one))),inference(rw,[status(thm)],[135,30,theory(equality)])).
% cnf(1840,negated_conjecture,(addition(one,multiplication(esk3_0,addition(X1,one)))=addition(one,multiplication(esk3_0,X1))),inference(spm,[status(thm)],[564,1838,theory(equality)])).
% cnf(1854,plain,(addition(X1,multiplication(X2,addition(X3,one)))=addition(X2,addition(X1,multiplication(X2,X3)))),inference(spm,[status(thm)],[124,1838,theory(equality)])).
% cnf(2861,plain,(addition(X2,multiplication(X1,X2))=multiplication(addition(X1,one),X2)),inference(rw,[status(thm)],[165,30,theory(equality)])).
% cnf(3577,negated_conjecture,(multiplication(esk4_0,one)=multiplication(esk4_0,esk4_0)),inference(spm,[status(thm)],[234,205,theory(equality)])).
% cnf(3592,negated_conjecture,(esk4_0=multiplication(esk4_0,esk4_0)),inference(rw,[status(thm)],[3577,58,theory(equality)])).
% cnf(3623,negated_conjecture,(addition(multiplication(esk4_0,X1),esk4_0)=multiplication(esk4_0,addition(X1,esk4_0))),inference(spm,[status(thm)],[26,3592,theory(equality)])).
% cnf(4295,negated_conjecture,(multiplication(esk4_0,addition(X1,one))=multiplication(esk4_0,addition(X1,esk4_0))),inference(rw,[status(thm)],[inference(rw,[status(thm)],[3623,30,theory(equality)]),1838,theory(equality)])).
% cnf(4297,negated_conjecture,(multiplication(multiplication(esk4_0,addition(X1,one)),X2)=multiplication(esk4_0,multiplication(addition(X1,esk4_0),X2))),inference(spm,[status(thm)],[36,4295,theory(equality)])).
% cnf(4315,negated_conjecture,(multiplication(esk4_0,multiplication(addition(X1,one),X2))=multiplication(esk4_0,multiplication(addition(X1,esk4_0),X2))),inference(rw,[status(thm)],[4297,36,theory(equality)])).
% cnf(5146,plain,(leq(multiplication(X1,X2),addition(multiplication(addition(X1,X3),X2),X4))),inference(spm,[status(thm)],[517,162,theory(equality)])).
% cnf(10123,negated_conjecture,(multiplication(one,esk2_0)=multiplication(esk2_0,esk2_0)),inference(spm,[status(thm)],[598,507,theory(equality)])).
% cnf(10149,negated_conjecture,(esk2_0=multiplication(esk2_0,esk2_0)),inference(rw,[status(thm)],[10123,60,theory(equality)])).
% cnf(15247,negated_conjecture,(addition(esk2_0,addition(X1,addition(esk3_0,esk4_0)))=addition(X1,addition(esk3_0,esk4_0))),inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[795,770,theory(equality)]),113,theory(equality)]),32,theory(equality)]),30,theory(equality)])).
% cnf(15298,negated_conjecture,(addition(c(esk2_0),addition(esk3_0,esk4_0))=addition(one,addition(esk3_0,esk4_0))),inference(spm,[status(thm)],[509,15247,theory(equality)])).
% cnf(15346,negated_conjecture,(addition(c(esk2_0),addition(esk3_0,esk4_0))=one),inference(rw,[status(thm)],[inference(rw,[status(thm)],[15298,564,theory(equality)]),549,theory(equality)])).
% cnf(15367,negated_conjecture,(addition(esk3_0,addition(esk4_0,c(esk2_0)))=one),inference(rw,[status(thm)],[15346,113,theory(equality)])).
% cnf(15410,negated_conjecture,(multiplication(c(esk3_0),one)=multiplication(c(esk3_0),addition(esk4_0,c(esk2_0)))),inference(spm,[status(thm)],[488,15367,theory(equality)])).
% cnf(15443,negated_conjecture,(c(esk3_0)=multiplication(c(esk3_0),addition(esk4_0,c(esk2_0)))),inference(rw,[status(thm)],[15410,58,theory(equality)])).
% cnf(16003,negated_conjecture,(addition(addition(esk4_0,c(esk2_0)),c(esk3_0))=multiplication(addition(c(esk3_0),one),addition(esk4_0,c(esk2_0)))),inference(spm,[status(thm)],[2861,15443,theory(equality)])).
% cnf(16027,negated_conjecture,(addition(esk4_0,addition(c(esk2_0),c(esk3_0)))=multiplication(addition(c(esk3_0),one),addition(esk4_0,c(esk2_0)))),inference(rw,[status(thm)],[16003,32,theory(equality)])).
% cnf(16028,negated_conjecture,(addition(esk4_0,addition(c(esk2_0),c(esk3_0)))=addition(esk4_0,c(esk2_0))),inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[16027,30,theory(equality)]),1406,theory(equality)]),60,theory(equality)])).
% cnf(18267,negated_conjecture,(leq(esk2_0,multiplication(addition(esk2_0,X1),esk2_0))),inference(spm,[status(thm)],[1157,10149,theory(equality)])).
% cnf(18653,negated_conjecture,(leq(esk2_0,multiplication(addition(esk3_0,esk4_0),esk2_0))),inference(spm,[status(thm)],[18267,79,theory(equality)])).
% cnf(18675,negated_conjecture,(addition(esk2_0,multiplication(addition(esk3_0,esk4_0),esk2_0))=multiplication(addition(esk3_0,esk4_0),esk2_0)),inference(spm,[status(thm)],[24,18653,theory(equality)])).
% cnf(18676,negated_conjecture,(esk2_0=multiplication(addition(esk3_0,esk4_0),esk2_0)),inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[18675,2861,theory(equality)]),32,theory(equality)]),30,theory(equality)]),549,theory(equality)]),30,theory(equality)]),562,theory(equality)]),60,theory(equality)])).
% cnf(18679,negated_conjecture,(addition(esk2_0,multiplication(addition(esk3_0,esk4_0),X1))=multiplication(addition(esk3_0,esk4_0),addition(esk2_0,X1))),inference(spm,[status(thm)],[26,18676,theory(equality)])).
% cnf(20781,negated_conjecture,(addition(one,multiplication(esk3_0,addition(one,X1)))=addition(one,multiplication(esk3_0,X1))),inference(spm,[status(thm)],[1840,30,theory(equality)])).
% cnf(33453,negated_conjecture,(addition(esk2_0,multiplication(esk3_0,c(esk4_0)))=multiplication(addition(esk3_0,esk4_0),addition(esk2_0,c(esk4_0)))),inference(spm,[status(thm)],[18679,467,theory(equality)])).
% cnf(38430,negated_conjecture,(addition(one,multiplication(esk3_0,one))=addition(one,multiplication(esk3_0,c(esk4_0)))),inference(spm,[status(thm)],[20781,1087,theory(equality)])).
% cnf(38547,negated_conjecture,(one=addition(one,multiplication(esk3_0,c(esk4_0)))),inference(rw,[status(thm)],[inference(rw,[status(thm)],[38430,58,theory(equality)]),562,theory(equality)])).
% cnf(90997,negated_conjecture,(multiplication(esk4_0,addition(esk2_0,multiplication(esk3_0,c(esk4_0))))=multiplication(esk4_0,multiplication(addition(esk3_0,one),addition(esk2_0,c(esk4_0))))),inference(spm,[status(thm)],[4315,33453,theory(equality)])).
% cnf(91107,negated_conjecture,(multiplication(esk4_0,addition(esk2_0,multiplication(esk3_0,c(esk4_0))))=multiplication(esk4_0,esk2_0)),inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[90997,30,theory(equality)]),562,theory(equality)]),60,theory(equality)]),466,theory(equality)])).
% cnf(97529,negated_conjecture,(leq(multiplication(esk2_0,X1),addition(multiplication(one,X1),X2))),inference(spm,[status(thm)],[5146,507,theory(equality)])).
% cnf(97939,negated_conjecture,(leq(multiplication(esk2_0,X1),addition(X1,X2))),inference(rw,[status(thm)],[97529,60,theory(equality)])).
% cnf(175692,negated_conjecture,(addition(X1,multiplication(esk4_0,addition(addition(esk2_0,multiplication(esk3_0,c(esk4_0))),one)))=addition(esk4_0,addition(X1,multiplication(esk4_0,esk2_0)))),inference(spm,[status(thm)],[1854,91107,theory(equality)])).
% cnf(175782,negated_conjecture,(addition(X1,esk4_0)=addition(esk4_0,addition(X1,multiplication(esk4_0,esk2_0)))),inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[175692,32,theory(equality)]),30,theory(equality)]),38547,theory(equality)]),30,theory(equality)]),575,theory(equality)]),58,theory(equality)])).
% cnf(284126,negated_conjecture,(leq(multiplication(esk2_0,esk4_0),addition(X1,esk4_0))),inference(spm,[status(thm)],[97939,175782,theory(equality)])).
% cnf(286008,negated_conjecture,(addition(multiplication(esk2_0,esk4_0),addition(X1,esk4_0))=addition(X1,esk4_0)),inference(spm,[status(thm)],[24,284126,theory(equality)])).
% cnf(327118,negated_conjecture,(addition(esk4_0,addition(X1,multiplication(esk2_0,esk4_0)))=addition(X1,esk4_0)),inference(rw,[status(thm)],[286008,770,theory(equality)])).
% cnf(327465,negated_conjecture,(addition(esk4_0,multiplication(esk2_0,addition(X1,esk4_0)))=addition(multiplication(esk2_0,X1),esk4_0)),inference(spm,[status(thm)],[327118,26,theory(equality)])).
% cnf(385954,negated_conjecture,(addition(esk4_0,multiplication(esk2_0,addition(X1,esk4_0)))=addition(esk4_0,multiplication(esk2_0,X1))),inference(rw,[status(thm)],[327465,30,theory(equality)])).
% cnf(386238,negated_conjecture,(addition(esk4_0,multiplication(esk2_0,addition(esk4_0,X1)))=addition(esk4_0,multiplication(esk2_0,X1))),inference(spm,[status(thm)],[385954,30,theory(equality)])).
% cnf(481933,negated_conjecture,(addition(esk4_0,multiplication(esk2_0,addition(esk4_0,c(esk2_0))))=addition(esk4_0,multiplication(esk2_0,addition(c(esk2_0),c(esk3_0))))),inference(spm,[status(thm)],[386238,16028,theory(equality)])).
% cnf(482215,negated_conjecture,(esk4_0=addition(esk4_0,multiplication(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)],[inference(rw,[status(thm)],[481933,634,theory(equality)]),2861,theory(equality)]),30,theory(equality)]),575,theory(equality)]),60,theory(equality)])).
% cnf(482216,negated_conjecture,(esk4_0=addition(esk4_0,multiplication(esk2_0,c(esk3_0)))),inference(rw,[status(thm)],[482215,632,theory(equality)])).
% cnf(482286,negated_conjecture,(leq(multiplication(esk2_0,c(esk3_0)),esk4_0)),inference(spm,[status(thm)],[116,482216,theory(equality)])).
% cnf(482567,negated_conjecture,($false),inference(sr,[status(thm)],[482286,71,theory(equality)])).
% cnf(482568,negated_conjecture,($false),482567,['proof']).
% # SZS output end CNFRefutation
% # Processed clauses : 15101
% # ...of these trivial : 3102
% # ...subsumed : 9744
% # ...remaining for further processing: 2255
% # Other redundant clauses eliminated : 0
% # Clauses deleted for lack of memory : 0
% # Backward-subsumed : 3
% # Backward-rewritten : 399
% # Generated clauses : 245623
% # ...of the previous two non-trivial : 192698
% # Contextual simplify-reflections : 53
% # Paramodulations : 245615
% # Factorizations : 0
% # Equation resolutions : 8
% # Current number of processed clauses: 1853
% # Positive orientable unit clauses: 1190
% # Positive unorientable unit clauses: 22
% # Negative unit clauses : 1
% # Non-unit-clauses : 640
% # Current number of unprocessed clauses: 165041
% # ...number of literals in the above : 280555
% # Clause-clause subsumption calls (NU) : 54157
% # Rec. Clause-clause subsumption calls : 53949
% # Unit Clause-clause subsumption calls : 7482
% # Rewrite failures with RHS unbound : 0
% # Indexed BW rewrite attempts : 8322
% # Indexed BW rewrite successes : 270
% # Backwards rewriting index: 1321 leaves, 2.14+/-3.314 terms/leaf
% # Paramod-from index: 631 leaves, 1.95+/-3.270 terms/leaf
% # Paramod-into index: 982 leaves, 2.09+/-3.216 terms/leaf
% # -------------------------------------------------
% # User time : 8.419 s
% # System time : 0.340 s
% # Total time : 8.759 s
% # Maximum resident set size: 0 pages
% PrfWatch: 15.98 CPU 16.18 WC
% FINAL PrfWatch: 15.98 CPU 16.18 WC
% SZS output end Solution for /tmp/SystemOnTPTP7496/KLE019+1.tptp
%
%------------------------------------------------------------------------------