TSTP Solution File: KLE118+1 by SRASS---0.1
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- Process Solution
%------------------------------------------------------------------------------
% File : SRASS---0.1
% Problem : KLE118+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 : art06.cs.miami.edu
% Model : i686 i686
% CPU : Intel(R) Pentium(R) 4 CPU 2.80GHz @ 2793MHz
% Memory : 2018MB
% OS : Linux 2.6.26.8-57.fc8
% CPULimit : 300s
% DateTime : Wed Dec 29 08:02:35 EST 2010
% Result : Theorem 55.42s
% Output : Solution 55.42s
% 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/SystemOnTPTP30179/KLE118+1.tptp
% Adding relevance values
% Extracting the conjecture
% Sorting axioms by relevance
% Looking for THM ...
% found
% SZS status THM for /tmp/SystemOnTPTP30179/KLE118+1.tptp
% SZS output start Solution for /tmp/SystemOnTPTP30179/KLE118+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 30275
% TreeLimitedRun: ----------------------------------------------------------
% PrfWatch: 0.00 CPU 0.00 WC
% PrfWatch: 1.91 CPU 2.01 WC
% PrfWatch: 3.90 CPU 4.01 WC
% PrfWatch: 5.89 CPU 6.02 WC
% PrfWatch: 7.88 CPU 8.02 WC
% PrfWatch: 9.85 CPU 10.03 WC
% PrfWatch: 11.84 CPU 12.03 WC
% PrfWatch: 13.82 CPU 14.04 WC
% PrfWatch: 15.81 CPU 16.04 WC
% PrfWatch: 17.80 CPU 18.05 WC
% PrfWatch: 19.77 CPU 20.05 WC
% PrfWatch: 21.76 CPU 22.06 WC
% PrfWatch: 23.74 CPU 24.06 WC
% PrfWatch: 25.73 CPU 26.07 WC
% PrfWatch: 27.72 CPU 28.07 WC
% # Preprocessing time : 0.013 s
% # Problem is unsatisfiable (or provable), constructing proof object
% # SZS status Theorem
% PrfWatch: 29.70 CPU 30.08 WC
% PrfWatch: 31.68 CPU 32.08 WC
% PrfWatch: 33.67 CPU 34.09 WC
% PrfWatch: 35.66 CPU 36.09 WC
% PrfWatch: 37.66 CPU 38.09 WC
% PrfWatch: 39.65 CPU 40.10 WC
% PrfWatch: 41.65 CPU 42.10 WC
% PrfWatch: 43.64 CPU 44.11 WC
% PrfWatch: 45.27 CPU 46.11 WC
% PrfWatch: 46.92 CPU 48.12 WC
% PrfWatch: 48.91 CPU 50.12 WC
% PrfWatch: 50.91 CPU 52.13 WC
% PrfWatch: 52.90 CPU 54.13 WC
% # SZS output start CNFRefutation.
% fof(1, axiom,![X1]:![X2]:addition(X1,X2)=addition(X2,X1),file('/tmp/SRASS.s.p', additive_commutativity)).
% fof(2, axiom,![X3]:![X2]:![X1]:addition(X1,addition(X2,X3))=addition(addition(X1,X2),X3),file('/tmp/SRASS.s.p', additive_associativity)).
% fof(3, axiom,![X1]:addition(X1,X1)=X1,file('/tmp/SRASS.s.p', additive_idempotence)).
% fof(4, axiom,![X1]:![X2]:![X3]:multiplication(X1,addition(X2,X3))=addition(multiplication(X1,X2),multiplication(X1,X3)),file('/tmp/SRASS.s.p', right_distributivity)).
% fof(5, axiom,![X1]:![X2]:![X3]:multiplication(addition(X1,X2),X3)=addition(multiplication(X1,X3),multiplication(X2,X3)),file('/tmp/SRASS.s.p', left_distributivity)).
% fof(6, axiom,![X4]:domain(X4)=antidomain(antidomain(X4)),file('/tmp/SRASS.s.p', domain4)).
% fof(7, axiom,![X1]:![X2]:![X3]:multiplication(X1,multiplication(X2,X3))=multiplication(multiplication(X1,X2),X3),file('/tmp/SRASS.s.p', multiplicative_associativity)).
% fof(8, axiom,![X1]:addition(X1,zero)=X1,file('/tmp/SRASS.s.p', additive_identity)).
% fof(10, axiom,![X4]:![X5]:forward_diamond(X4,X5)=domain(multiplication(X4,domain(X5))),file('/tmp/SRASS.s.p', forward_diamond)).
% fof(11, axiom,![X4]:![X5]:forward_box(X4,X5)=c(forward_diamond(X4,c(X5))),file('/tmp/SRASS.s.p', forward_box)).
% fof(13, axiom,![X1]:multiplication(zero,X1)=zero,file('/tmp/SRASS.s.p', left_annihilation)).
% fof(14, axiom,![X4]:c(X4)=antidomain(domain(X4)),file('/tmp/SRASS.s.p', complement)).
% fof(15, axiom,![X4]:![X5]:addition(antidomain(multiplication(X4,X5)),antidomain(multiplication(X4,antidomain(antidomain(X5)))))=antidomain(multiplication(X4,antidomain(antidomain(X5)))),file('/tmp/SRASS.s.p', domain2)).
% fof(20, axiom,![X4]:multiplication(antidomain(X4),X4)=zero,file('/tmp/SRASS.s.p', domain1)).
% fof(21, axiom,![X4]:addition(antidomain(antidomain(X4)),antidomain(X4))=one,file('/tmp/SRASS.s.p', domain3)).
% fof(22, axiom,![X1]:multiplication(X1,one)=X1,file('/tmp/SRASS.s.p', multiplicative_right_identity)).
% fof(23, axiom,![X1]:multiplication(one,X1)=X1,file('/tmp/SRASS.s.p', multiplicative_left_identity)).
% fof(27, conjecture,![X4]:![X5]:(addition(X4,X5)=X5=>![X6]:addition(forward_box(X4,domain(X6)),forward_box(X5,domain(X6)))=forward_box(X4,domain(X6))),file('/tmp/SRASS.s.p', goals)).
% fof(28, negated_conjecture,~(![X4]:![X5]:(addition(X4,X5)=X5=>![X6]:addition(forward_box(X4,domain(X6)),forward_box(X5,domain(X6)))=forward_box(X4,domain(X6)))),inference(assume_negation,[status(cth)],[27])).
% fof(29, plain,![X3]:![X4]:addition(X3,X4)=addition(X4,X3),inference(variable_rename,[status(thm)],[1])).
% 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)],[2])).
% 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)],[3])).
% cnf(34,plain,(addition(X1,X1)=X1),inference(split_conjunct,[status(thm)],[33])).
% fof(35, plain,![X4]:![X5]:![X6]:multiplication(X4,addition(X5,X6))=addition(multiplication(X4,X5),multiplication(X4,X6)),inference(variable_rename,[status(thm)],[4])).
% cnf(36,plain,(multiplication(X1,addition(X2,X3))=addition(multiplication(X1,X2),multiplication(X1,X3))),inference(split_conjunct,[status(thm)],[35])).
% fof(37, plain,![X4]:![X5]:![X6]:multiplication(addition(X4,X5),X6)=addition(multiplication(X4,X6),multiplication(X5,X6)),inference(variable_rename,[status(thm)],[5])).
% cnf(38,plain,(multiplication(addition(X1,X2),X3)=addition(multiplication(X1,X3),multiplication(X2,X3))),inference(split_conjunct,[status(thm)],[37])).
% fof(39, plain,![X5]:domain(X5)=antidomain(antidomain(X5)),inference(variable_rename,[status(thm)],[6])).
% cnf(40,plain,(domain(X1)=antidomain(antidomain(X1))),inference(split_conjunct,[status(thm)],[39])).
% fof(41, plain,![X4]:![X5]:![X6]:multiplication(X4,multiplication(X5,X6))=multiplication(multiplication(X4,X5),X6),inference(variable_rename,[status(thm)],[7])).
% cnf(42,plain,(multiplication(X1,multiplication(X2,X3))=multiplication(multiplication(X1,X2),X3)),inference(split_conjunct,[status(thm)],[41])).
% fof(43, plain,![X2]:addition(X2,zero)=X2,inference(variable_rename,[status(thm)],[8])).
% cnf(44,plain,(addition(X1,zero)=X1),inference(split_conjunct,[status(thm)],[43])).
% fof(49, plain,![X6]:![X7]:forward_diamond(X6,X7)=domain(multiplication(X6,domain(X7))),inference(variable_rename,[status(thm)],[10])).
% cnf(50,plain,(forward_diamond(X1,X2)=domain(multiplication(X1,domain(X2)))),inference(split_conjunct,[status(thm)],[49])).
% fof(51, plain,![X6]:![X7]:forward_box(X6,X7)=c(forward_diamond(X6,c(X7))),inference(variable_rename,[status(thm)],[11])).
% cnf(52,plain,(forward_box(X1,X2)=c(forward_diamond(X1,c(X2)))),inference(split_conjunct,[status(thm)],[51])).
% fof(55, plain,![X2]:multiplication(zero,X2)=zero,inference(variable_rename,[status(thm)],[13])).
% cnf(56,plain,(multiplication(zero,X1)=zero),inference(split_conjunct,[status(thm)],[55])).
% fof(57, plain,![X5]:c(X5)=antidomain(domain(X5)),inference(variable_rename,[status(thm)],[14])).
% cnf(58,plain,(c(X1)=antidomain(domain(X1))),inference(split_conjunct,[status(thm)],[57])).
% fof(59, plain,![X6]:![X7]:addition(antidomain(multiplication(X6,X7)),antidomain(multiplication(X6,antidomain(antidomain(X7)))))=antidomain(multiplication(X6,antidomain(antidomain(X7)))),inference(variable_rename,[status(thm)],[15])).
% cnf(60,plain,(addition(antidomain(multiplication(X1,X2)),antidomain(multiplication(X1,antidomain(antidomain(X2)))))=antidomain(multiplication(X1,antidomain(antidomain(X2))))),inference(split_conjunct,[status(thm)],[59])).
% fof(69, plain,![X5]:multiplication(antidomain(X5),X5)=zero,inference(variable_rename,[status(thm)],[20])).
% cnf(70,plain,(multiplication(antidomain(X1),X1)=zero),inference(split_conjunct,[status(thm)],[69])).
% fof(71, plain,![X5]:addition(antidomain(antidomain(X5)),antidomain(X5))=one,inference(variable_rename,[status(thm)],[21])).
% cnf(72,plain,(addition(antidomain(antidomain(X1)),antidomain(X1))=one),inference(split_conjunct,[status(thm)],[71])).
% fof(73, plain,![X2]:multiplication(X2,one)=X2,inference(variable_rename,[status(thm)],[22])).
% cnf(74,plain,(multiplication(X1,one)=X1),inference(split_conjunct,[status(thm)],[73])).
% fof(75, plain,![X2]:multiplication(one,X2)=X2,inference(variable_rename,[status(thm)],[23])).
% cnf(76,plain,(multiplication(one,X1)=X1),inference(split_conjunct,[status(thm)],[75])).
% fof(83, negated_conjecture,?[X4]:?[X5]:(addition(X4,X5)=X5&?[X6]:~(addition(forward_box(X4,domain(X6)),forward_box(X5,domain(X6)))=forward_box(X4,domain(X6)))),inference(fof_nnf,[status(thm)],[28])).
% fof(84, negated_conjecture,?[X7]:?[X8]:(addition(X7,X8)=X8&?[X9]:~(addition(forward_box(X7,domain(X9)),forward_box(X8,domain(X9)))=forward_box(X7,domain(X9)))),inference(variable_rename,[status(thm)],[83])).
% fof(85, negated_conjecture,(addition(esk1_0,esk2_0)=esk2_0&~(addition(forward_box(esk1_0,domain(esk3_0)),forward_box(esk2_0,domain(esk3_0)))=forward_box(esk1_0,domain(esk3_0)))),inference(skolemize,[status(esa)],[84])).
% cnf(86,negated_conjecture,(addition(forward_box(esk1_0,domain(esk3_0)),forward_box(esk2_0,domain(esk3_0)))!=forward_box(esk1_0,domain(esk3_0))),inference(split_conjunct,[status(thm)],[85])).
% cnf(87,negated_conjecture,(addition(esk1_0,esk2_0)=esk2_0),inference(split_conjunct,[status(thm)],[85])).
% cnf(88,plain,(antidomain(domain(forward_diamond(X1,antidomain(domain(X2)))))=forward_box(X1,X2)),inference(rw,[status(thm)],[inference(rw,[status(thm)],[52,58,theory(equality)]),58,theory(equality)]),['unfolding']).
% cnf(90,plain,(antidomain(antidomain(multiplication(X1,antidomain(antidomain(X2)))))=forward_diamond(X1,X2)),inference(rw,[status(thm)],[inference(rw,[status(thm)],[50,40,theory(equality)]),40,theory(equality)]),['unfolding']).
% cnf(91,plain,(antidomain(antidomain(antidomain(forward_diamond(X1,antidomain(antidomain(antidomain(X2)))))))=forward_box(X1,X2)),inference(rw,[status(thm)],[inference(rw,[status(thm)],[88,40,theory(equality)]),40,theory(equality)]),['unfolding']).
% cnf(94,negated_conjecture,(addition(forward_box(esk1_0,antidomain(antidomain(esk3_0))),forward_box(esk2_0,antidomain(antidomain(esk3_0))))!=forward_box(esk1_0,antidomain(antidomain(esk3_0)))),inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[86,40,theory(equality)]),40,theory(equality)]),40,theory(equality)]),['unfolding']).
% cnf(96,plain,(antidomain(antidomain(antidomain(antidomain(antidomain(multiplication(X1,antidomain(antidomain(antidomain(antidomain(antidomain(X2)))))))))))=forward_box(X1,X2)),inference(rw,[status(thm)],[91,90,theory(equality)]),['unfolding']).
% cnf(97,negated_conjecture,(addition(antidomain(antidomain(antidomain(antidomain(antidomain(multiplication(esk1_0,antidomain(antidomain(antidomain(antidomain(antidomain(antidomain(antidomain(esk3_0))))))))))))),antidomain(antidomain(antidomain(antidomain(antidomain(multiplication(esk2_0,antidomain(antidomain(antidomain(antidomain(antidomain(antidomain(antidomain(esk3_0))))))))))))))!=antidomain(antidomain(antidomain(antidomain(antidomain(multiplication(esk1_0,antidomain(antidomain(antidomain(antidomain(antidomain(antidomain(antidomain(esk3_0)))))))))))))),inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[94,96,theory(equality)]),96,theory(equality)]),96,theory(equality)]),['unfolding']).
% cnf(98,plain,(addition(antidomain(X1),antidomain(antidomain(X1)))=one),inference(rw,[status(thm)],[72,30,theory(equality)])).
% cnf(100,plain,(zero=antidomain(one)),inference(spm,[status(thm)],[74,70,theory(equality)])).
% cnf(102,plain,(addition(zero,X1)=X1),inference(spm,[status(thm)],[44,30,theory(equality)])).
% cnf(111,plain,(addition(X1,addition(X2,X3))=addition(X3,addition(X1,X2))),inference(spm,[status(thm)],[30,32,theory(equality)])).
% cnf(116,plain,(addition(X1,X2)=addition(X1,addition(X1,X2))),inference(spm,[status(thm)],[32,34,theory(equality)])).
% cnf(152,plain,(addition(multiplication(antidomain(X1),X2),zero)=multiplication(antidomain(X1),addition(X2,X1))),inference(spm,[status(thm)],[36,70,theory(equality)])).
% cnf(171,plain,(multiplication(antidomain(X1),X2)=multiplication(antidomain(X1),addition(X2,X1))),inference(rw,[status(thm)],[152,44,theory(equality)])).
% cnf(188,plain,(addition(multiplication(X1,X2),X2)=multiplication(addition(X1,one),X2)),inference(spm,[status(thm)],[38,76,theory(equality)])).
% cnf(190,plain,(addition(multiplication(X1,X2),zero)=multiplication(addition(X1,antidomain(X2)),X2)),inference(spm,[status(thm)],[38,70,theory(equality)])).
% cnf(209,plain,(multiplication(X1,X2)=multiplication(addition(X1,antidomain(X2)),X2)),inference(rw,[status(thm)],[190,44,theory(equality)])).
% cnf(260,plain,(addition(zero,antidomain(zero))=one),inference(spm,[status(thm)],[98,100,theory(equality)])).
% cnf(295,plain,(addition(antidomain(X1),one)=one),inference(spm,[status(thm)],[116,98,theory(equality)])).
% cnf(301,plain,(addition(X1,addition(X2,X1))=addition(X2,X1)),inference(spm,[status(thm)],[116,30,theory(equality)])).
% cnf(319,plain,(addition(one,antidomain(X1))=one),inference(rw,[status(thm)],[295,30,theory(equality)])).
% cnf(415,plain,(antidomain(zero)=one),inference(rw,[status(thm)],[260,102,theory(equality)])).
% cnf(461,plain,(multiplication(antidomain(multiplication(X1,antidomain(antidomain(X2)))),multiplication(X1,antidomain(antidomain(X2))))=multiplication(antidomain(multiplication(X1,X2)),multiplication(X1,antidomain(antidomain(X2))))),inference(spm,[status(thm)],[209,60,theory(equality)])).
% cnf(464,plain,(multiplication(addition(antidomain(X2),X1),X2)=multiplication(X1,X2)),inference(spm,[status(thm)],[209,30,theory(equality)])).
% cnf(479,plain,(zero=multiplication(antidomain(multiplication(X1,X2)),multiplication(X1,antidomain(antidomain(X2))))),inference(rw,[status(thm)],[461,70,theory(equality)])).
% cnf(515,plain,(multiplication(one,X1)=multiplication(antidomain(antidomain(X1)),X1)),inference(spm,[status(thm)],[464,98,theory(equality)])).
% cnf(531,plain,(X1=multiplication(antidomain(antidomain(X1)),X1)),inference(rw,[status(thm)],[515,76,theory(equality)])).
% cnf(592,plain,(multiplication(antidomain(antidomain(antidomain(X1))),one)=multiplication(antidomain(antidomain(antidomain(X1))),antidomain(X1))),inference(spm,[status(thm)],[171,98,theory(equality)])).
% cnf(596,plain,(multiplication(antidomain(addition(X1,X2)),addition(X1,X2))=multiplication(antidomain(addition(X1,X2)),X1)),inference(spm,[status(thm)],[171,116,theory(equality)])).
% cnf(598,plain,(multiplication(antidomain(X1),addition(X1,X2))=multiplication(antidomain(X1),X2)),inference(spm,[status(thm)],[171,30,theory(equality)])).
% cnf(615,plain,(antidomain(antidomain(antidomain(X1)))=multiplication(antidomain(antidomain(antidomain(X1))),antidomain(X1))),inference(rw,[status(thm)],[592,74,theory(equality)])).
% cnf(616,plain,(antidomain(antidomain(antidomain(X1)))=antidomain(X1)),inference(rw,[status(thm)],[615,531,theory(equality)])).
% cnf(617,plain,(zero=multiplication(antidomain(addition(X1,X2)),X1)),inference(rw,[status(thm)],[596,70,theory(equality)])).
% cnf(640,negated_conjecture,(addition(antidomain(multiplication(esk1_0,antidomain(esk3_0))),antidomain(multiplication(esk2_0,antidomain(esk3_0))))!=antidomain(antidomain(antidomain(antidomain(antidomain(multiplication(esk1_0,antidomain(antidomain(antidomain(antidomain(antidomain(antidomain(antidomain(esk3_0)))))))))))))),inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[97,616,theory(equality)]),616,theory(equality)]),616,theory(equality)]),616,theory(equality)]),616,theory(equality)]),616,theory(equality)]),616,theory(equality)]),616,theory(equality)]),616,theory(equality)]),616,theory(equality)])).
% cnf(641,negated_conjecture,(addition(antidomain(multiplication(esk1_0,antidomain(esk3_0))),antidomain(multiplication(esk2_0,antidomain(esk3_0))))!=antidomain(multiplication(esk1_0,antidomain(esk3_0)))),inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[640,616,theory(equality)]),616,theory(equality)]),616,theory(equality)]),616,theory(equality)]),616,theory(equality)])).
% cnf(949,plain,(addition(zero,multiplication(X3,X1))=multiplication(addition(antidomain(addition(X1,X2)),X3),X1)),inference(spm,[status(thm)],[38,617,theory(equality)])).
% cnf(966,plain,(multiplication(antidomain(multiplication(addition(X1,X3),X2)),multiplication(X1,X2))=zero),inference(spm,[status(thm)],[617,38,theory(equality)])).
% cnf(980,plain,(multiplication(X3,X1)=multiplication(addition(antidomain(addition(X1,X2)),X3),X1)),inference(rw,[status(thm)],[949,102,theory(equality)])).
% cnf(1377,plain,(addition(multiplication(antidomain(X1),X2),multiplication(X3,addition(X1,X2)))=multiplication(addition(antidomain(X1),X3),addition(X1,X2))),inference(spm,[status(thm)],[38,598,theory(equality)])).
% cnf(2108,plain,(addition(X2,multiplication(X1,X2))=multiplication(addition(X1,one),X2)),inference(rw,[status(thm)],[188,30,theory(equality)])).
% cnf(7942,plain,(multiplication(one,X1)=multiplication(antidomain(antidomain(addition(X1,X2))),X1)),inference(spm,[status(thm)],[980,98,theory(equality)])).
% cnf(8005,plain,(X1=multiplication(antidomain(antidomain(addition(X1,X2))),X1)),inference(rw,[status(thm)],[7942,76,theory(equality)])).
% cnf(8062,plain,(multiplication(antidomain(antidomain(addition(X2,X1))),X1)=X1),inference(spm,[status(thm)],[8005,301,theory(equality)])).
% cnf(58637,negated_conjecture,(multiplication(antidomain(multiplication(esk2_0,X1)),multiplication(esk1_0,X1))=zero),inference(spm,[status(thm)],[966,87,theory(equality)])).
% cnf(58670,plain,(multiplication(antidomain(multiplication(one,X2)),multiplication(antidomain(X1),X2))=zero),inference(spm,[status(thm)],[966,98,theory(equality)])).
% cnf(59028,plain,(multiplication(antidomain(X2),multiplication(antidomain(X1),X2))=zero),inference(rw,[status(thm)],[58670,76,theory(equality)])).
% cnf(59379,plain,(multiplication(zero,X3)=multiplication(antidomain(X1),multiplication(multiplication(antidomain(X2),X1),X3))),inference(spm,[status(thm)],[42,59028,theory(equality)])).
% cnf(59662,plain,(zero=multiplication(antidomain(X1),multiplication(multiplication(antidomain(X2),X1),X3))),inference(rw,[status(thm)],[59379,56,theory(equality)])).
% cnf(59663,plain,(zero=multiplication(antidomain(X1),multiplication(antidomain(X2),multiplication(X1,X3)))),inference(rw,[status(thm)],[59662,42,theory(equality)])).
% cnf(60177,negated_conjecture,(multiplication(antidomain(zero),multiplication(antidomain(multiplication(esk2_0,X1)),antidomain(antidomain(multiplication(esk1_0,X1)))))=zero),inference(spm,[status(thm)],[479,58637,theory(equality)])).
% cnf(60339,negated_conjecture,(multiplication(antidomain(multiplication(esk2_0,X1)),antidomain(antidomain(multiplication(esk1_0,X1))))=zero),inference(rw,[status(thm)],[inference(rw,[status(thm)],[60177,415,theory(equality)]),76,theory(equality)])).
% cnf(64622,plain,(multiplication(antidomain(antidomain(antidomain(addition(X1,X2)))),multiplication(antidomain(X3),X2))=zero),inference(spm,[status(thm)],[59663,8062,theory(equality)])).
% cnf(65068,plain,(multiplication(antidomain(addition(X1,X2)),multiplication(antidomain(X3),X2))=zero),inference(rw,[status(thm)],[64622,616,theory(equality)])).
% cnf(215515,plain,(addition(multiplication(antidomain(X1),X2),addition(X1,X2))=multiplication(addition(antidomain(X1),one),addition(X1,X2))),inference(spm,[status(thm)],[1377,76,theory(equality)])).
% cnf(216273,plain,(addition(multiplication(antidomain(X1),X2),addition(X1,X2))=addition(X1,X2)),inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[215515,30,theory(equality)]),319,theory(equality)]),76,theory(equality)])).
% cnf(216876,plain,(addition(X2,addition(X1,multiplication(antidomain(X1),X2)))=addition(X1,X2)),inference(rw,[status(thm)],[inference(rw,[status(thm)],[216273,111,theory(equality)]),30,theory(equality)])).
% cnf(217574,plain,(addition(multiplication(antidomain(X1),X2),addition(addition(X3,X2),zero))=addition(addition(X3,X2),multiplication(antidomain(X1),X2))),inference(spm,[status(thm)],[216876,65068,theory(equality)])).
% cnf(218464,plain,(addition(multiplication(antidomain(X1),X2),addition(X3,X2))=addition(addition(X3,X2),multiplication(antidomain(X1),X2))),inference(rw,[status(thm)],[inference(rw,[status(thm)],[217574,32,theory(equality)]),44,theory(equality)])).
% cnf(218465,plain,(addition(multiplication(antidomain(X1),X2),addition(X3,X2))=addition(X3,X2)),inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[218464,32,theory(equality)]),2108,theory(equality)]),30,theory(equality)]),319,theory(equality)]),76,theory(equality)])).
% cnf(221833,plain,(addition(X2,addition(multiplication(antidomain(X1),X2),X3))=addition(X3,X2)),inference(rw,[status(thm)],[218465,111,theory(equality)])).
% cnf(222685,plain,(addition(X1,multiplication(antidomain(X2),addition(X1,X3)))=addition(multiplication(antidomain(X2),X3),X1)),inference(spm,[status(thm)],[221833,36,theory(equality)])).
% cnf(584213,plain,(addition(antidomain(X1),multiplication(antidomain(X2),one))=addition(multiplication(antidomain(X2),antidomain(antidomain(X1))),antidomain(X1))),inference(spm,[status(thm)],[222685,98,theory(equality)])).
% cnf(585063,plain,(addition(antidomain(X1),antidomain(X2))=addition(multiplication(antidomain(X2),antidomain(antidomain(X1))),antidomain(X1))),inference(rw,[status(thm)],[584213,74,theory(equality)])).
% cnf(1110556,plain,(addition(antidomain(X1),multiplication(antidomain(X2),antidomain(antidomain(X1))))=addition(antidomain(X1),antidomain(X2))),inference(rw,[status(thm)],[585063,30,theory(equality)])).
% cnf(1111286,negated_conjecture,(addition(antidomain(multiplication(esk1_0,X1)),zero)=addition(antidomain(multiplication(esk1_0,X1)),antidomain(multiplication(esk2_0,X1)))),inference(spm,[status(thm)],[1110556,60339,theory(equality)])).
% cnf(1112451,negated_conjecture,(antidomain(multiplication(esk1_0,X1))=addition(antidomain(multiplication(esk1_0,X1)),antidomain(multiplication(esk2_0,X1)))),inference(rw,[status(thm)],[1111286,44,theory(equality)])).
% cnf(1828475,negated_conjecture,($false),inference(rw,[status(thm)],[641,1112451,theory(equality)])).
% cnf(1828476,negated_conjecture,($false),inference(cn,[status(thm)],[1828475,theory(equality)])).
% cnf(1828477,negated_conjecture,($false),1828476,['proof']).
% # SZS output end CNFRefutation
% # Processed clauses : 15305
% # ...of these trivial : 8949
% # ...subsumed : 4192
% # ...remaining for further processing: 2164
% # Other redundant clauses eliminated : 0
% # Clauses deleted for lack of memory : 0
% # Backward-subsumed : 0
% # Backward-rewritten : 642
% # Generated clauses : 937546
% # ...of the previous two non-trivial : 428478
% # Contextual simplify-reflections : 0
% # Paramodulations : 937546
% # Factorizations : 0
% # Equation resolutions : 0
% # Current number of processed clauses: 1501
% # Positive orientable unit clauses: 1481
% # Positive unorientable unit clauses: 18
% # Negative unit clauses : 0
% # Non-unit-clauses : 2
% # Current number of unprocessed clauses: 333043
% # ...number of literals in the above : 333043
% # Clause-clause subsumption calls (NU) : 0
% # Rec. Clause-clause subsumption calls : 0
% # Unit Clause-clause subsumption calls : 243
% # Rewrite failures with RHS unbound : 0
% # Indexed BW rewrite attempts : 23453
% # Indexed BW rewrite successes : 860
% # Backwards rewriting index: 828 leaves, 3.92+/-5.822 terms/leaf
% # Paramod-from index: 419 leaves, 3.61+/-4.448 terms/leaf
% # Paramod-into index: 776 leaves, 3.89+/-5.720 terms/leaf
% # -------------------------------------------------
% # User time : 27.545 s
% # System time : 1.194 s
% # Total time : 28.739 s
% # Maximum resident set size: 0 pages
% PrfWatch: 54.47 CPU 55.72 WC
% FINAL PrfWatch: 54.47 CPU 55.72 WC
% SZS output end Solution for /tmp/SystemOnTPTP30179/KLE118+1.tptp
%
%------------------------------------------------------------------------------