TSTP Solution File: KLE116+1 by SRASS---0.1
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- Process Solution
%------------------------------------------------------------------------------
% File : SRASS---0.1
% Problem : KLE116+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 : art11.cs.miami.edu
% Model : i686 i686
% CPU : Intel(R) Pentium(R) 4 CPU 3.00GHz @ 3000MHz
% Memory : 2006MB
% OS : Linux 2.6.31.5-127.fc12.i686.PAE
% CPULimit : 300s
% DateTime : Wed Dec 29 08:06:52 EST 2010
% Result : Theorem 11.76s
% Output : Solution 11.76s
% 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/SystemOnTPTP30248/KLE116+1.tptp
% Adding relevance values
% Extracting the conjecture
% Sorting axioms by relevance
% Looking for THM ...
% found
% SZS status THM for /tmp/SystemOnTPTP30248/KLE116+1.tptp
% SZS output start Solution for /tmp/SystemOnTPTP30248/KLE116+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 30380
% TreeLimitedRun: ----------------------------------------------------------
% PrfWatch: 0.00 CPU 0.01 WC
% PrfWatch: 1.94 CPU 2.01 WC
% PrfWatch: 3.92 CPU 4.02 WC
% # Preprocessing time : 0.012 s
% # Problem is unsatisfiable (or provable), constructing proof object
% # SZS status Theorem
% PrfWatch: 5.91 CPU 6.03 WC
% PrfWatch: 7.91 CPU 8.03 WC
% PrfWatch: 9.90 CPU 10.04 WC
% # SZS output start CNFRefutation.
% fof(1, axiom,![X1]:![X2]:![X3]:multiplication(X1,multiplication(X2,X3))=multiplication(multiplication(X1,X2),X3),file('/tmp/SRASS.s.p', multiplicative_associativity)).
% fof(2, axiom,![X4]:![X5]:forward_diamond(X4,X5)=domain(multiplication(X4,domain(X5))),file('/tmp/SRASS.s.p', forward_diamond)).
% fof(3, axiom,![X4]:domain(X4)=antidomain(antidomain(X4)),file('/tmp/SRASS.s.p', domain4)).
% 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,addition(X2,X3))=addition(multiplication(X1,X2),multiplication(X1,X3)),file('/tmp/SRASS.s.p', right_distributivity)).
% fof(8, axiom,![X1]:![X2]:![X3]:multiplication(addition(X1,X2),X3)=addition(multiplication(X1,X3),multiplication(X2,X3)),file('/tmp/SRASS.s.p', left_distributivity)).
% fof(11, axiom,![X1]:multiplication(zero,X1)=zero,file('/tmp/SRASS.s.p', left_annihilation)).
% fof(12, axiom,![X1]:multiplication(X1,one)=X1,file('/tmp/SRASS.s.p', multiplicative_right_identity)).
% fof(13, axiom,![X1]:multiplication(one,X1)=X1,file('/tmp/SRASS.s.p', multiplicative_left_identity)).
% fof(14, axiom,![X4]:![X5]:forward_box(X4,X5)=c(forward_diamond(X4,c(X5))),file('/tmp/SRASS.s.p', forward_box)).
% fof(15, axiom,![X4]:c(X4)=antidomain(domain(X4)),file('/tmp/SRASS.s.p', complement)).
% fof(16, axiom,![X4]:multiplication(antidomain(X4),X4)=zero,file('/tmp/SRASS.s.p', domain1)).
% fof(18, 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,![X1]:addition(X1,zero)=X1,file('/tmp/SRASS.s.p', additive_identity)).
% fof(23, axiom,![X4]:addition(antidomain(antidomain(X4)),antidomain(X4))=one,file('/tmp/SRASS.s.p', domain3)).
% fof(27, conjecture,![X4]:![X5]:![X6]:forward_box(X4,multiplication(domain(X5),domain(X6)))=multiplication(forward_box(X4,domain(X5)),forward_box(X4,domain(X6))),file('/tmp/SRASS.s.p', goals)).
% fof(28, negated_conjecture,~(![X4]:![X5]:![X6]:forward_box(X4,multiplication(domain(X5),domain(X6)))=multiplication(forward_box(X4,domain(X5)),forward_box(X4,domain(X6)))),inference(assume_negation,[status(cth)],[27])).
% fof(29, plain,![X4]:![X5]:![X6]:multiplication(X4,multiplication(X5,X6))=multiplication(multiplication(X4,X5),X6),inference(variable_rename,[status(thm)],[1])).
% cnf(30,plain,(multiplication(X1,multiplication(X2,X3))=multiplication(multiplication(X1,X2),X3)),inference(split_conjunct,[status(thm)],[29])).
% fof(31, plain,![X6]:![X7]:forward_diamond(X6,X7)=domain(multiplication(X6,domain(X7))),inference(variable_rename,[status(thm)],[2])).
% cnf(32,plain,(forward_diamond(X1,X2)=domain(multiplication(X1,domain(X2)))),inference(split_conjunct,[status(thm)],[31])).
% fof(33, plain,![X5]:domain(X5)=antidomain(antidomain(X5)),inference(variable_rename,[status(thm)],[3])).
% cnf(34,plain,(domain(X1)=antidomain(antidomain(X1))),inference(split_conjunct,[status(thm)],[33])).
% fof(35, plain,![X3]:![X4]:addition(X3,X4)=addition(X4,X3),inference(variable_rename,[status(thm)],[4])).
% cnf(36,plain,(addition(X1,X2)=addition(X2,X1)),inference(split_conjunct,[status(thm)],[35])).
% fof(37, plain,![X4]:![X5]:![X6]:addition(X6,addition(X5,X4))=addition(addition(X6,X5),X4),inference(variable_rename,[status(thm)],[5])).
% cnf(38,plain,(addition(X1,addition(X2,X3))=addition(addition(X1,X2),X3)),inference(split_conjunct,[status(thm)],[37])).
% fof(39, plain,![X2]:addition(X2,X2)=X2,inference(variable_rename,[status(thm)],[6])).
% cnf(40,plain,(addition(X1,X1)=X1),inference(split_conjunct,[status(thm)],[39])).
% fof(41, plain,![X4]:![X5]:![X6]:multiplication(X4,addition(X5,X6))=addition(multiplication(X4,X5),multiplication(X4,X6)),inference(variable_rename,[status(thm)],[7])).
% cnf(42,plain,(multiplication(X1,addition(X2,X3))=addition(multiplication(X1,X2),multiplication(X1,X3))),inference(split_conjunct,[status(thm)],[41])).
% fof(43, plain,![X4]:![X5]:![X6]:multiplication(addition(X4,X5),X6)=addition(multiplication(X4,X6),multiplication(X5,X6)),inference(variable_rename,[status(thm)],[8])).
% cnf(44,plain,(multiplication(addition(X1,X2),X3)=addition(multiplication(X1,X3),multiplication(X2,X3))),inference(split_conjunct,[status(thm)],[43])).
% fof(49, plain,![X2]:multiplication(zero,X2)=zero,inference(variable_rename,[status(thm)],[11])).
% cnf(50,plain,(multiplication(zero,X1)=zero),inference(split_conjunct,[status(thm)],[49])).
% fof(51, plain,![X2]:multiplication(X2,one)=X2,inference(variable_rename,[status(thm)],[12])).
% cnf(52,plain,(multiplication(X1,one)=X1),inference(split_conjunct,[status(thm)],[51])).
% fof(53, plain,![X2]:multiplication(one,X2)=X2,inference(variable_rename,[status(thm)],[13])).
% cnf(54,plain,(multiplication(one,X1)=X1),inference(split_conjunct,[status(thm)],[53])).
% fof(55, plain,![X6]:![X7]:forward_box(X6,X7)=c(forward_diamond(X6,c(X7))),inference(variable_rename,[status(thm)],[14])).
% cnf(56,plain,(forward_box(X1,X2)=c(forward_diamond(X1,c(X2)))),inference(split_conjunct,[status(thm)],[55])).
% fof(57, plain,![X5]:c(X5)=antidomain(domain(X5)),inference(variable_rename,[status(thm)],[15])).
% cnf(58,plain,(c(X1)=antidomain(domain(X1))),inference(split_conjunct,[status(thm)],[57])).
% fof(59, plain,![X5]:multiplication(antidomain(X5),X5)=zero,inference(variable_rename,[status(thm)],[16])).
% cnf(60,plain,(multiplication(antidomain(X1),X1)=zero),inference(split_conjunct,[status(thm)],[59])).
% fof(63, 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)],[18])).
% cnf(64,plain,(addition(antidomain(multiplication(X1,X2)),antidomain(multiplication(X1,antidomain(antidomain(X2)))))=antidomain(multiplication(X1,antidomain(antidomain(X2))))),inference(split_conjunct,[status(thm)],[63])).
% fof(67, plain,![X2]:addition(X2,zero)=X2,inference(variable_rename,[status(thm)],[20])).
% cnf(68,plain,(addition(X1,zero)=X1),inference(split_conjunct,[status(thm)],[67])).
% fof(75, plain,![X5]:addition(antidomain(antidomain(X5)),antidomain(X5))=one,inference(variable_rename,[status(thm)],[23])).
% cnf(76,plain,(addition(antidomain(antidomain(X1)),antidomain(X1))=one),inference(split_conjunct,[status(thm)],[75])).
% fof(83, negated_conjecture,?[X4]:?[X5]:?[X6]:~(forward_box(X4,multiplication(domain(X5),domain(X6)))=multiplication(forward_box(X4,domain(X5)),forward_box(X4,domain(X6)))),inference(fof_nnf,[status(thm)],[28])).
% fof(84, negated_conjecture,?[X7]:?[X8]:?[X9]:~(forward_box(X7,multiplication(domain(X8),domain(X9)))=multiplication(forward_box(X7,domain(X8)),forward_box(X7,domain(X9)))),inference(variable_rename,[status(thm)],[83])).
% fof(85, negated_conjecture,~(forward_box(esk1_0,multiplication(domain(esk2_0),domain(esk3_0)))=multiplication(forward_box(esk1_0,domain(esk2_0)),forward_box(esk1_0,domain(esk3_0)))),inference(skolemize,[status(esa)],[84])).
% cnf(86,negated_conjecture,(forward_box(esk1_0,multiplication(domain(esk2_0),domain(esk3_0)))!=multiplication(forward_box(esk1_0,domain(esk2_0)),forward_box(esk1_0,domain(esk3_0)))),inference(split_conjunct,[status(thm)],[85])).
% cnf(87,plain,(antidomain(domain(forward_diamond(X1,antidomain(domain(X2)))))=forward_box(X1,X2)),inference(rw,[status(thm)],[inference(rw,[status(thm)],[56,58,theory(equality)]),58,theory(equality)]),['unfolding']).
% cnf(89,plain,(antidomain(antidomain(multiplication(X1,antidomain(antidomain(X2)))))=forward_diamond(X1,X2)),inference(rw,[status(thm)],[inference(rw,[status(thm)],[32,34,theory(equality)]),34,theory(equality)]),['unfolding']).
% cnf(90,plain,(antidomain(antidomain(antidomain(forward_diamond(X1,antidomain(antidomain(antidomain(X2)))))))=forward_box(X1,X2)),inference(rw,[status(thm)],[inference(rw,[status(thm)],[87,34,theory(equality)]),34,theory(equality)]),['unfolding']).
% cnf(93,negated_conjecture,(multiplication(forward_box(esk1_0,antidomain(antidomain(esk2_0))),forward_box(esk1_0,antidomain(antidomain(esk3_0))))!=forward_box(esk1_0,multiplication(antidomain(antidomain(esk2_0)),antidomain(antidomain(esk3_0))))),inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[86,34,theory(equality)]),34,theory(equality)]),34,theory(equality)]),34,theory(equality)]),['unfolding']).
% cnf(95,plain,(antidomain(antidomain(antidomain(antidomain(antidomain(multiplication(X1,antidomain(antidomain(antidomain(antidomain(antidomain(X2)))))))))))=forward_box(X1,X2)),inference(rw,[status(thm)],[90,89,theory(equality)]),['unfolding']).
% cnf(96,negated_conjecture,(multiplication(antidomain(antidomain(antidomain(antidomain(antidomain(multiplication(esk1_0,antidomain(antidomain(antidomain(antidomain(antidomain(antidomain(antidomain(esk2_0))))))))))))),antidomain(antidomain(antidomain(antidomain(antidomain(multiplication(esk1_0,antidomain(antidomain(antidomain(antidomain(antidomain(antidomain(antidomain(esk3_0))))))))))))))!=antidomain(antidomain(antidomain(antidomain(antidomain(multiplication(esk1_0,antidomain(antidomain(antidomain(antidomain(antidomain(multiplication(antidomain(antidomain(esk2_0)),antidomain(antidomain(esk3_0))))))))))))))),inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[93,95,theory(equality)]),95,theory(equality)]),95,theory(equality)]),['unfolding']).
% cnf(97,plain,(addition(antidomain(X1),antidomain(antidomain(X1)))=one),inference(rw,[status(thm)],[76,36,theory(equality)])).
% cnf(99,plain,(zero=antidomain(one)),inference(spm,[status(thm)],[52,60,theory(equality)])).
% cnf(101,plain,(addition(zero,X1)=X1),inference(spm,[status(thm)],[68,36,theory(equality)])).
% cnf(113,plain,(multiplication(zero,X2)=multiplication(antidomain(X1),multiplication(X1,X2))),inference(spm,[status(thm)],[30,60,theory(equality)])).
% cnf(124,plain,(zero=multiplication(antidomain(X1),multiplication(X1,X2))),inference(rw,[status(thm)],[113,50,theory(equality)])).
% cnf(135,plain,(addition(multiplication(antidomain(X1),X2),zero)=multiplication(antidomain(X1),addition(X2,X1))),inference(spm,[status(thm)],[42,60,theory(equality)])).
% cnf(154,plain,(multiplication(antidomain(X1),X2)=multiplication(antidomain(X1),addition(X2,X1))),inference(rw,[status(thm)],[135,68,theory(equality)])).
% cnf(170,plain,(addition(multiplication(X1,X2),X2)=multiplication(addition(X1,one),X2)),inference(spm,[status(thm)],[44,54,theory(equality)])).
% cnf(172,plain,(addition(multiplication(X1,X2),zero)=multiplication(addition(X1,antidomain(X2)),X2)),inference(spm,[status(thm)],[44,60,theory(equality)])).
% cnf(191,plain,(multiplication(X1,X2)=multiplication(addition(X1,antidomain(X2)),X2)),inference(rw,[status(thm)],[172,68,theory(equality)])).
% cnf(206,plain,(addition(one,X2)=addition(antidomain(X1),addition(antidomain(antidomain(X1)),X2))),inference(spm,[status(thm)],[38,97,theory(equality)])).
% cnf(210,plain,(addition(X1,X2)=addition(X1,addition(X1,X2))),inference(spm,[status(thm)],[38,40,theory(equality)])).
% cnf(258,plain,(addition(zero,antidomain(zero))=one),inference(spm,[status(thm)],[97,99,theory(equality)])).
% cnf(393,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)],[191,64,theory(equality)])).
% cnf(395,plain,(multiplication(addition(antidomain(X2),X1),X2)=multiplication(X1,X2)),inference(spm,[status(thm)],[191,36,theory(equality)])).
% cnf(408,plain,(zero=multiplication(antidomain(multiplication(X1,X2)),multiplication(X1,antidomain(antidomain(X2))))),inference(rw,[status(thm)],[393,60,theory(equality)])).
% cnf(426,plain,(antidomain(zero)=one),inference(rw,[status(thm)],[258,101,theory(equality)])).
% cnf(458,plain,(multiplication(one,X1)=multiplication(antidomain(antidomain(X1)),X1)),inference(spm,[status(thm)],[395,97,theory(equality)])).
% cnf(474,plain,(X1=multiplication(antidomain(antidomain(X1)),X1)),inference(rw,[status(thm)],[458,54,theory(equality)])).
% cnf(477,plain,(multiplication(X1,X2)=multiplication(antidomain(antidomain(X1)),multiplication(X1,X2))),inference(spm,[status(thm)],[30,474,theory(equality)])).
% cnf(540,plain,(multiplication(antidomain(antidomain(multiplication(X1,X2))),multiplication(X1,multiplication(X2,X3)))=multiplication(X1,multiplication(X2,X3))),inference(spm,[status(thm)],[477,30,theory(equality)])).
% cnf(787,plain,(multiplication(antidomain(antidomain(antidomain(X1))),one)=multiplication(antidomain(antidomain(antidomain(X1))),antidomain(X1))),inference(spm,[status(thm)],[154,97,theory(equality)])).
% cnf(789,plain,(multiplication(antidomain(multiplication(X1,X2)),multiplication(addition(X3,X1),X2))=multiplication(antidomain(multiplication(X1,X2)),multiplication(X3,X2))),inference(spm,[status(thm)],[154,44,theory(equality)])).
% cnf(807,plain,(antidomain(antidomain(antidomain(X1)))=multiplication(antidomain(antidomain(antidomain(X1))),antidomain(X1))),inference(rw,[status(thm)],[787,52,theory(equality)])).
% cnf(808,plain,(antidomain(antidomain(antidomain(X1)))=antidomain(X1)),inference(rw,[status(thm)],[807,474,theory(equality)])).
% cnf(836,negated_conjecture,(multiplication(antidomain(multiplication(esk1_0,antidomain(esk2_0))),antidomain(multiplication(esk1_0,antidomain(esk3_0))))!=antidomain(antidomain(antidomain(antidomain(antidomain(multiplication(esk1_0,antidomain(antidomain(antidomain(antidomain(antidomain(multiplication(antidomain(antidomain(esk2_0)),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)],[96,808,theory(equality)]),808,theory(equality)]),808,theory(equality)]),808,theory(equality)]),808,theory(equality)]),808,theory(equality)]),808,theory(equality)]),808,theory(equality)]),808,theory(equality)]),808,theory(equality)])).
% cnf(837,negated_conjecture,(multiplication(antidomain(multiplication(esk1_0,antidomain(esk2_0))),antidomain(multiplication(esk1_0,antidomain(esk3_0))))!=antidomain(multiplication(esk1_0,antidomain(multiplication(antidomain(antidomain(esk2_0)),antidomain(antidomain(esk3_0))))))),inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[836,808,theory(equality)]),808,theory(equality)]),808,theory(equality)]),808,theory(equality)])).
% cnf(1009,plain,(multiplication(antidomain(addition(X1,X2)),addition(X1,X2))=multiplication(antidomain(addition(X1,X2)),X1)),inference(spm,[status(thm)],[154,210,theory(equality)])).
% cnf(1015,plain,(addition(antidomain(X1),one)=one),inference(spm,[status(thm)],[210,97,theory(equality)])).
% cnf(1020,plain,(addition(X1,addition(X2,X1))=addition(X2,X1)),inference(spm,[status(thm)],[210,36,theory(equality)])).
% cnf(1027,plain,(zero=multiplication(antidomain(addition(X1,X2)),X1)),inference(rw,[status(thm)],[1009,60,theory(equality)])).
% cnf(1036,plain,(addition(one,antidomain(X1))=one),inference(rw,[status(thm)],[1015,36,theory(equality)])).
% cnf(1053,plain,(addition(zero,multiplication(X3,X1))=multiplication(addition(antidomain(addition(X1,X2)),X3),X1)),inference(spm,[status(thm)],[44,1027,theory(equality)])).
% cnf(1070,plain,(multiplication(antidomain(multiplication(addition(X1,X3),X2)),multiplication(X1,X2))=zero),inference(spm,[status(thm)],[1027,44,theory(equality)])).
% cnf(1074,plain,(multiplication(antidomain(addition(X2,X1)),X1)=zero),inference(spm,[status(thm)],[1027,36,theory(equality)])).
% cnf(1080,plain,(multiplication(X3,X1)=multiplication(addition(antidomain(addition(X1,X2)),X3),X1)),inference(rw,[status(thm)],[1053,101,theory(equality)])).
% cnf(1306,plain,(multiplication(antidomain(zero),multiplication(antidomain(X1),antidomain(antidomain(multiplication(X1,X2)))))=zero),inference(spm,[status(thm)],[408,124,theory(equality)])).
% cnf(1352,plain,(multiplication(antidomain(X1),antidomain(antidomain(multiplication(X1,X2))))=zero),inference(rw,[status(thm)],[inference(rw,[status(thm)],[1306,426,theory(equality)]),54,theory(equality)])).
% cnf(1364,plain,(addition(zero,multiplication(antidomain(X1),X3))=multiplication(antidomain(X1),addition(antidomain(antidomain(multiplication(X1,X2))),X3))),inference(spm,[status(thm)],[42,1352,theory(equality)])).
% cnf(1408,plain,(multiplication(antidomain(X1),X3)=multiplication(antidomain(X1),addition(antidomain(antidomain(multiplication(X1,X2))),X3))),inference(rw,[status(thm)],[1364,101,theory(equality)])).
% cnf(2896,plain,(addition(X2,multiplication(X1,X2))=multiplication(addition(X1,one),X2)),inference(rw,[status(thm)],[170,36,theory(equality)])).
% cnf(10817,plain,(multiplication(one,X1)=multiplication(antidomain(antidomain(addition(X1,X2))),X1)),inference(spm,[status(thm)],[1080,97,theory(equality)])).
% cnf(10872,plain,(X1=multiplication(antidomain(antidomain(addition(X1,X2))),X1)),inference(rw,[status(thm)],[10817,54,theory(equality)])).
% cnf(10887,plain,(multiplication(X1,X3)=multiplication(antidomain(antidomain(addition(X1,X2))),multiplication(X1,X3))),inference(spm,[status(thm)],[30,10872,theory(equality)])).
% cnf(10928,plain,(multiplication(antidomain(antidomain(antidomain(multiplication(X1,antidomain(antidomain(X2)))))),antidomain(multiplication(X1,X2)))=antidomain(multiplication(X1,X2))),inference(spm,[status(thm)],[10872,64,theory(equality)])).
% cnf(10936,plain,(multiplication(antidomain(antidomain(addition(X2,X1))),X1)=X1),inference(spm,[status(thm)],[10872,1020,theory(equality)])).
% cnf(10982,plain,(multiplication(antidomain(multiplication(X1,antidomain(antidomain(X2)))),antidomain(multiplication(X1,X2)))=antidomain(multiplication(X1,X2))),inference(rw,[status(thm)],[10928,808,theory(equality)])).
% cnf(12971,plain,(multiplication(antidomain(antidomain(addition(antidomain(antidomain(X1)),X2))),X1)=X1),inference(spm,[status(thm)],[10887,474,theory(equality)])).
% cnf(25255,plain,(multiplication(antidomain(multiplication(one,X2)),multiplication(antidomain(X1),X2))=zero),inference(spm,[status(thm)],[1070,97,theory(equality)])).
% cnf(25486,plain,(multiplication(antidomain(X2),multiplication(antidomain(X1),X2))=zero),inference(rw,[status(thm)],[25255,54,theory(equality)])).
% cnf(25544,plain,(addition(zero,multiplication(antidomain(X1),X3))=multiplication(antidomain(X1),addition(multiplication(antidomain(X2),X1),X3))),inference(spm,[status(thm)],[42,25486,theory(equality)])).
% cnf(25557,plain,(multiplication(antidomain(zero),multiplication(antidomain(X1),antidomain(antidomain(multiplication(antidomain(X2),X1)))))=zero),inference(spm,[status(thm)],[408,25486,theory(equality)])).
% cnf(25746,plain,(multiplication(antidomain(X1),X3)=multiplication(antidomain(X1),addition(multiplication(antidomain(X2),X1),X3))),inference(rw,[status(thm)],[25544,101,theory(equality)])).
% cnf(25759,plain,(multiplication(antidomain(X1),antidomain(antidomain(multiplication(antidomain(X2),X1))))=zero),inference(rw,[status(thm)],[inference(rw,[status(thm)],[25557,426,theory(equality)]),54,theory(equality)])).
% cnf(170818,plain,(multiplication(antidomain(antidomain(multiplication(X1,antidomain(antidomain(X2))))),multiplication(X1,X2))=multiplication(X1,X2)),inference(spm,[status(thm)],[540,474,theory(equality)])).
% cnf(178350,plain,(multiplication(antidomain(X1),one)=multiplication(antidomain(X1),antidomain(antidomain(antidomain(multiplication(X1,X2)))))),inference(spm,[status(thm)],[1408,97,theory(equality)])).
% cnf(178795,plain,(antidomain(X1)=multiplication(antidomain(X1),antidomain(antidomain(antidomain(multiplication(X1,X2)))))),inference(rw,[status(thm)],[178350,52,theory(equality)])).
% cnf(178796,plain,(antidomain(X1)=multiplication(antidomain(X1),antidomain(multiplication(X1,X2)))),inference(rw,[status(thm)],[178795,808,theory(equality)])).
% cnf(178915,plain,(addition(antidomain(multiplication(X1,X2)),antidomain(X1))=multiplication(addition(antidomain(X1),one),antidomain(multiplication(X1,X2)))),inference(spm,[status(thm)],[2896,178796,theory(equality)])).
% cnf(179111,plain,(multiplication(antidomain(antidomain(antidomain(multiplication(X1,antidomain(antidomain(X2)))))),antidomain(multiplication(X1,X2)))=antidomain(antidomain(antidomain(multiplication(X1,antidomain(antidomain(X2))))))),inference(spm,[status(thm)],[178796,170818,theory(equality)])).
% cnf(179159,plain,(multiplication(antidomain(antidomain(antidomain(addition(X1,X2)))),antidomain(X1))=antidomain(antidomain(antidomain(addition(X1,X2))))),inference(spm,[status(thm)],[178796,10872,theory(equality)])).
% cnf(179162,plain,(multiplication(antidomain(antidomain(antidomain(addition(X1,X2)))),antidomain(X2))=antidomain(antidomain(antidomain(addition(X1,X2))))),inference(spm,[status(thm)],[178796,10936,theory(equality)])).
% cnf(179357,plain,(addition(antidomain(multiplication(X1,X2)),antidomain(X1))=antidomain(multiplication(X1,X2))),inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[178915,36,theory(equality)]),1036,theory(equality)]),54,theory(equality)])).
% cnf(179527,plain,(antidomain(multiplication(X1,X2))=antidomain(antidomain(antidomain(multiplication(X1,antidomain(antidomain(X2))))))),inference(rw,[status(thm)],[inference(rw,[status(thm)],[179111,808,theory(equality)]),10982,theory(equality)])).
% cnf(179528,plain,(antidomain(multiplication(X1,X2))=antidomain(multiplication(X1,antidomain(antidomain(X2))))),inference(rw,[status(thm)],[179527,808,theory(equality)])).
% cnf(179579,plain,(multiplication(antidomain(addition(X1,X2)),antidomain(X1))=antidomain(antidomain(antidomain(addition(X1,X2))))),inference(rw,[status(thm)],[179159,808,theory(equality)])).
% cnf(179580,plain,(multiplication(antidomain(addition(X1,X2)),antidomain(X1))=antidomain(addition(X1,X2))),inference(rw,[status(thm)],[179579,808,theory(equality)])).
% cnf(179585,plain,(multiplication(antidomain(addition(X1,X2)),antidomain(X2))=antidomain(antidomain(antidomain(addition(X1,X2))))),inference(rw,[status(thm)],[179162,808,theory(equality)])).
% cnf(179586,plain,(multiplication(antidomain(addition(X1,X2)),antidomain(X2))=antidomain(addition(X1,X2))),inference(rw,[status(thm)],[179585,808,theory(equality)])).
% cnf(180048,negated_conjecture,(multiplication(antidomain(multiplication(esk1_0,antidomain(esk2_0))),antidomain(multiplication(esk1_0,antidomain(esk3_0))))!=antidomain(multiplication(esk1_0,antidomain(multiplication(antidomain(antidomain(esk2_0)),esk3_0))))),inference(rw,[status(thm)],[837,179528,theory(equality)])).
% cnf(188572,plain,(addition(antidomain(X1),antidomain(multiplication(X1,X2)))=antidomain(multiplication(X1,X2))),inference(rw,[status(thm)],[179357,36,theory(equality)])).
% cnf(188598,plain,(multiplication(antidomain(antidomain(antidomain(multiplication(X1,X2)))),antidomain(X1))=antidomain(X1)),inference(spm,[status(thm)],[10872,188572,theory(equality)])).
% cnf(188663,plain,(addition(antidomain(X1),antidomain(multiplication(antidomain(X1),X2)))=addition(one,antidomain(multiplication(antidomain(X1),X2)))),inference(spm,[status(thm)],[206,188572,theory(equality)])).
% cnf(188668,plain,(multiplication(antidomain(antidomain(antidomain(multiplication(antidomain(X1),X2)))),X1)=X1),inference(spm,[status(thm)],[12971,188572,theory(equality)])).
% cnf(188964,plain,(multiplication(antidomain(multiplication(X1,X2)),antidomain(X1))=antidomain(X1)),inference(rw,[status(thm)],[188598,808,theory(equality)])).
% cnf(189026,plain,(addition(antidomain(X1),antidomain(multiplication(antidomain(X1),X2)))=one),inference(rw,[status(thm)],[188663,1036,theory(equality)])).
% cnf(189028,plain,(multiplication(antidomain(multiplication(antidomain(X1),X2)),X1)=X1),inference(rw,[status(thm)],[188668,808,theory(equality)])).
% cnf(189448,plain,(multiplication(X1,X3)=multiplication(antidomain(multiplication(antidomain(X1),X2)),multiplication(X1,X3))),inference(spm,[status(thm)],[30,189028,theory(equality)])).
% cnf(192558,plain,(addition(antidomain(multiplication(X1,X2)),antidomain(antidomain(X1)))=one),inference(spm,[status(thm)],[189026,188964,theory(equality)])).
% cnf(193023,plain,(addition(antidomain(antidomain(X1)),antidomain(multiplication(X1,X2)))=one),inference(rw,[status(thm)],[192558,36,theory(equality)])).
% cnf(205110,plain,(antidomain(addition(X1,antidomain(X1)))=zero),inference(spm,[status(thm)],[1074,179580,theory(equality)])).
% cnf(205544,plain,(antidomain(multiplication(X1,antidomain(zero)))=antidomain(multiplication(X1,addition(X2,antidomain(X2))))),inference(spm,[status(thm)],[179528,205110,theory(equality)])).
% cnf(205842,plain,(antidomain(X1)=antidomain(multiplication(X1,addition(X2,antidomain(X2))))),inference(rw,[status(thm)],[inference(rw,[status(thm)],[205544,426,theory(equality)]),52,theory(equality)])).
% cnf(207292,plain,(antidomain(multiplication(antidomain(X1),antidomain(multiplication(antidomain(X2),X1))))=antidomain(antidomain(X1))),inference(spm,[status(thm)],[205842,25746,theory(equality)])).
% cnf(210659,plain,(multiplication(antidomain(antidomain(multiplication(antidomain(X1),X2))),antidomain(antidomain(antidomain(X2))))=zero),inference(spm,[status(thm)],[25759,207292,theory(equality)])).
% cnf(210808,plain,(antidomain(multiplication(antidomain(antidomain(multiplication(X1,X2))),antidomain(antidomain(X1))))=antidomain(antidomain(antidomain(multiplication(X1,X2))))),inference(spm,[status(thm)],[207292,178796,theory(equality)])).
% cnf(211147,plain,(multiplication(antidomain(antidomain(multiplication(antidomain(X1),X2))),antidomain(X2))=zero),inference(rw,[status(thm)],[210659,808,theory(equality)])).
% cnf(211354,plain,(antidomain(multiplication(antidomain(antidomain(multiplication(X1,X2))),X1))=antidomain(antidomain(antidomain(multiplication(X1,X2))))),inference(rw,[status(thm)],[210808,179528,theory(equality)])).
% cnf(211355,plain,(antidomain(multiplication(antidomain(antidomain(multiplication(X1,X2))),X1))=antidomain(multiplication(X1,X2))),inference(rw,[status(thm)],[211354,808,theory(equality)])).
% cnf(211581,plain,(antidomain(zero)=antidomain(multiplication(antidomain(antidomain(multiplication(antidomain(X1),antidomain(X2)))),X2))),inference(spm,[status(thm)],[179528,211147,theory(equality)])).
% cnf(212032,plain,(one=antidomain(multiplication(antidomain(antidomain(multiplication(antidomain(X1),antidomain(X2)))),X2))),inference(rw,[status(thm)],[211581,426,theory(equality)])).
% cnf(212336,plain,(multiplication(one,multiplication(antidomain(antidomain(multiplication(antidomain(X1),antidomain(X2)))),X2))=zero),inference(spm,[status(thm)],[60,212032,theory(equality)])).
% cnf(212732,plain,(multiplication(antidomain(antidomain(multiplication(antidomain(X1),antidomain(X2)))),X2)=zero),inference(rw,[status(thm)],[212336,54,theory(equality)])).
% cnf(216278,plain,(multiplication(antidomain(multiplication(antidomain(antidomain(X1)),X2)),multiplication(one,X2))=multiplication(antidomain(multiplication(antidomain(antidomain(X1)),X2)),multiplication(antidomain(X1),X2))),inference(spm,[status(thm)],[789,97,theory(equality)])).
% cnf(216786,plain,(multiplication(antidomain(multiplication(antidomain(antidomain(X1)),X2)),X2)=multiplication(antidomain(multiplication(antidomain(antidomain(X1)),X2)),multiplication(antidomain(X1),X2))),inference(rw,[status(thm)],[216278,54,theory(equality)])).
% cnf(216787,plain,(multiplication(antidomain(multiplication(antidomain(antidomain(X1)),X2)),X2)=multiplication(antidomain(X1),X2)),inference(rw,[status(thm)],[216786,189448,theory(equality)])).
% cnf(217475,plain,(multiplication(antidomain(multiplication(antidomain(antidomain(antidomain(X1))),X3)),X3)=multiplication(antidomain(antidomain(X1)),X3)),inference(spm,[status(thm)],[216787,207292,theory(equality)])).
% cnf(217630,plain,(multiplication(antidomain(zero),X2)=multiplication(antidomain(multiplication(antidomain(X1),antidomain(X2))),X2)),inference(spm,[status(thm)],[216787,212732,theory(equality)])).
% cnf(217789,plain,(multiplication(antidomain(multiplication(antidomain(X1),X3)),X3)=multiplication(antidomain(antidomain(X1)),X3)),inference(rw,[status(thm)],[217475,808,theory(equality)])).
% cnf(218000,plain,(X2=multiplication(antidomain(multiplication(antidomain(X1),antidomain(X2))),X2)),inference(rw,[status(thm)],[inference(rw,[status(thm)],[217630,426,theory(equality)]),54,theory(equality)])).
% cnf(218078,plain,(addition(antidomain(antidomain(antidomain(multiplication(antidomain(X1),antidomain(X2))))),antidomain(X2))=one),inference(spm,[status(thm)],[193023,218000,theory(equality)])).
% cnf(218174,plain,(multiplication(antidomain(X2),multiplication(antidomain(X1),antidomain(X2)))=multiplication(antidomain(X1),antidomain(X2))),inference(spm,[status(thm)],[189028,218000,theory(equality)])).
% cnf(218388,plain,(addition(antidomain(multiplication(antidomain(X1),antidomain(X2))),antidomain(X2))=one),inference(rw,[status(thm)],[218078,808,theory(equality)])).
% cnf(220012,plain,(multiplication(antidomain(multiplication(antidomain(antidomain(X1)),X2)),X2)=multiplication(antidomain(antidomain(multiplication(antidomain(X1),X2))),X2)),inference(spm,[status(thm)],[217789,217789,theory(equality)])).
% cnf(220362,plain,(multiplication(antidomain(X1),X2)=multiplication(antidomain(antidomain(multiplication(antidomain(X1),X2))),X2)),inference(rw,[status(thm)],[inference(rw,[status(thm)],[220012,217789,theory(equality)]),808,theory(equality)])).
% cnf(245674,plain,(addition(antidomain(X2),antidomain(multiplication(antidomain(X1),antidomain(X2))))=one),inference(rw,[status(thm)],[218388,36,theory(equality)])).
% cnf(245729,plain,(multiplication(antidomain(antidomain(multiplication(antidomain(X1),antidomain(X2)))),one)=multiplication(antidomain(antidomain(multiplication(antidomain(X1),antidomain(X2)))),antidomain(X2))),inference(spm,[status(thm)],[154,245674,theory(equality)])).
% cnf(246054,plain,(antidomain(antidomain(multiplication(antidomain(X1),antidomain(X2))))=multiplication(antidomain(antidomain(multiplication(antidomain(X1),antidomain(X2)))),antidomain(X2))),inference(rw,[status(thm)],[245729,52,theory(equality)])).
% cnf(246055,plain,(antidomain(antidomain(multiplication(antidomain(X1),antidomain(X2))))=multiplication(antidomain(X1),antidomain(X2))),inference(rw,[status(thm)],[246054,220362,theory(equality)])).
% cnf(246625,plain,(antidomain(multiplication(multiplication(antidomain(X1),antidomain(X2)),antidomain(X1)))=antidomain(multiplication(antidomain(X1),antidomain(X2)))),inference(spm,[status(thm)],[211355,246055,theory(equality)])).
% cnf(246801,plain,(antidomain(antidomain(multiplication(antidomain(X1),X2)))=multiplication(antidomain(X1),antidomain(antidomain(X2)))),inference(spm,[status(thm)],[246055,179528,theory(equality)])).
% cnf(247108,plain,(antidomain(multiplication(antidomain(X2),antidomain(X1)))=antidomain(multiplication(antidomain(X1),antidomain(X2)))),inference(rw,[status(thm)],[inference(rw,[status(thm)],[246625,30,theory(equality)]),218174,theory(equality)])).
% cnf(248631,plain,(antidomain(antidomain(multiplication(antidomain(X2),antidomain(X1))))=multiplication(antidomain(X1),antidomain(X2))),inference(spm,[status(thm)],[246055,247108,theory(equality)])).
% cnf(249298,plain,(multiplication(antidomain(X2),antidomain(X1))=multiplication(antidomain(X1),antidomain(X2))),inference(rw,[status(thm)],[248631,246055,theory(equality)])).
% cnf(250449,plain,(multiplication(antidomain(antidomain(X2)),antidomain(X1))=antidomain(antidomain(multiplication(antidomain(X1),X2)))),inference(spm,[status(thm)],[246801,249298,theory(equality)])).
% cnf(251818,plain,(multiplication(antidomain(antidomain(antidomain(multiplication(antidomain(X2),X1)))),antidomain(X2))=multiplication(antidomain(antidomain(antidomain(X1))),antidomain(X2))),inference(spm,[status(thm)],[217789,250449,theory(equality)])).
% cnf(252079,plain,(multiplication(antidomain(multiplication(antidomain(X2),X1)),antidomain(X2))=multiplication(antidomain(antidomain(antidomain(X1))),antidomain(X2))),inference(rw,[status(thm)],[251818,808,theory(equality)])).
% cnf(252080,plain,(multiplication(antidomain(multiplication(antidomain(X2),X1)),antidomain(X2))=multiplication(antidomain(X1),antidomain(X2))),inference(rw,[status(thm)],[252079,808,theory(equality)])).
% cnf(255881,plain,(multiplication(antidomain(X2),antidomain(multiplication(antidomain(X2),X1)))=multiplication(antidomain(X1),antidomain(X2))),inference(rw,[status(thm)],[252080,249298,theory(equality)])).
% cnf(256179,plain,(multiplication(antidomain(X1),antidomain(multiplication(antidomain(X1),X2)))=multiplication(antidomain(addition(X2,X1)),antidomain(X1))),inference(spm,[status(thm)],[255881,154,theory(equality)])).
% cnf(256628,plain,(multiplication(antidomain(X2),antidomain(X1))=multiplication(antidomain(addition(X2,X1)),antidomain(X1))),inference(rw,[status(thm)],[256179,255881,theory(equality)])).
% cnf(256629,plain,(multiplication(antidomain(X2),antidomain(X1))=antidomain(addition(X2,X1))),inference(rw,[status(thm)],[256628,179586,theory(equality)])).
% cnf(257137,plain,(antidomain(addition(X1,antidomain(X2)))=antidomain(antidomain(multiplication(antidomain(X1),X2)))),inference(rw,[status(thm)],[246801,256629,theory(equality)])).
% cnf(257145,negated_conjecture,(antidomain(multiplication(esk1_0,addition(antidomain(esk2_0),antidomain(esk3_0))))!=antidomain(multiplication(esk1_0,antidomain(multiplication(antidomain(antidomain(esk2_0)),esk3_0))))),inference(rw,[status(thm)],[inference(rw,[status(thm)],[180048,256629,theory(equality)]),42,theory(equality)])).
% cnf(257497,plain,(antidomain(multiplication(X1,antidomain(antidomain(antidomain(multiplication(antidomain(X2),X3))))))=antidomain(multiplication(X1,addition(X2,antidomain(X3))))),inference(spm,[status(thm)],[179528,257137,theory(equality)])).
% cnf(257707,plain,(antidomain(multiplication(X1,antidomain(multiplication(antidomain(X2),X3))))=antidomain(multiplication(X1,addition(X2,antidomain(X3))))),inference(rw,[status(thm)],[257497,808,theory(equality)])).
% cnf(452116,negated_conjecture,($false),inference(rw,[status(thm)],[257145,257707,theory(equality)])).
% cnf(452117,negated_conjecture,($false),inference(cn,[status(thm)],[452116,theory(equality)])).
% cnf(452118,negated_conjecture,($false),452117,['proof']).
% # SZS output end CNFRefutation
% # Processed clauses : 2851
% # ...of these trivial : 1692
% # ...subsumed : 329
% # ...remaining for further processing: 830
% # Other redundant clauses eliminated : 0
% # Clauses deleted for lack of memory : 0
% # Backward-subsumed : 1
% # Backward-rewritten : 356
% # Generated clauses : 226571
% # ...of the previous two non-trivial : 81332
% # Contextual simplify-reflections : 0
% # Paramodulations : 226571
% # Factorizations : 0
% # Equation resolutions : 0
% # Current number of processed clauses: 453
% # Positive orientable unit clauses: 443
% # Positive unorientable unit clauses: 8
% # Negative unit clauses : 0
% # Non-unit-clauses : 2
% # Current number of unprocessed clauses: 46073
% # ...number of literals in the above : 46073
% # Clause-clause subsumption calls (NU) : 0
% # Rec. Clause-clause subsumption calls : 0
% # Unit Clause-clause subsumption calls : 57
% # Rewrite failures with RHS unbound : 0
% # Indexed BW rewrite attempts : 5494
% # Indexed BW rewrite successes : 379
% # Backwards rewriting index: 309 leaves, 3.06+/-3.166 terms/leaf
% # Paramod-from index: 197 leaves, 2.33+/-2.321 terms/leaf
% # Paramod-into index: 292 leaves, 3.05+/-3.143 terms/leaf
% # -------------------------------------------------
% # User time : 5.090 s
% # System time : 0.195 s
% # Total time : 5.285 s
% # Maximum resident set size: 0 pages
% PrfWatch: 10.67 CPU 10.83 WC
% FINAL PrfWatch: 10.67 CPU 10.84 WC
% SZS output end Solution for /tmp/SystemOnTPTP30248/KLE116+1.tptp
%
%------------------------------------------------------------------------------