TSTP Solution File: KLE106+1 by SRASS---0.1
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- Process Solution
%------------------------------------------------------------------------------
% File : SRASS---0.1
% Problem : KLE106+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 : art04.cs.miami.edu
% Model : i686 i686
% CPU : Intel(R) Pentium(R) 4 CPU 2.80GHz @ 2793MHz
% Memory : 2018MB
% OS : Linux 2.6.26.8-57.fc8
% CPULimit : 300s
% DateTime : Wed Dec 29 07:58:23 EST 2010
% Result : Theorem 13.97s
% Output : Solution 13.97s
% 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/SystemOnTPTP23500/KLE106+1.tptp
% Adding relevance values
% Extracting the conjecture
% Sorting axioms by relevance
% Looking for THM ...
% found
% SZS status THM for /tmp/SystemOnTPTP23500/KLE106+1.tptp
% SZS output start Solution for /tmp/SystemOnTPTP23500/KLE106+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 23596
% TreeLimitedRun: ----------------------------------------------------------
% PrfWatch: 0.00 CPU 0.00 WC
% PrfWatch: 1.92 CPU 2.01 WC
% PrfWatch: 3.90 CPU 4.01 WC
% PrfWatch: 5.90 CPU 6.02 WC
% # Preprocessing time : 0.013 s
% # Problem is unsatisfiable (or provable), constructing proof object
% # SZS status Theorem
% PrfWatch: 7.89 CPU 8.02 WC
% PrfWatch: 9.87 CPU 10.03 WC
% PrfWatch: 11.87 CPU 12.03 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,![X4]:![X5]:forward_diamond(X4,X5)=domain(multiplication(X4,domain(X5))),file('/tmp/SRASS.s.p', forward_diamond)).
% fof(5, axiom,![X1]:![X2]:![X3]:multiplication(X1,addition(X2,X3))=addition(multiplication(X1,X2),multiplication(X1,X3)),file('/tmp/SRASS.s.p', right_distributivity)).
% fof(6, axiom,![X1]:![X2]:![X3]:multiplication(addition(X1,X2),X3)=addition(multiplication(X1,X3),multiplication(X2,X3)),file('/tmp/SRASS.s.p', left_distributivity)).
% fof(7, axiom,![X4]:domain(X4)=antidomain(antidomain(X4)),file('/tmp/SRASS.s.p', domain4)).
% fof(8, axiom,![X1]:![X2]:![X3]:multiplication(X1,multiplication(X2,X3))=multiplication(multiplication(X1,X2),X3),file('/tmp/SRASS.s.p', multiplicative_associativity)).
% fof(9, axiom,![X1]:addition(X1,zero)=X1,file('/tmp/SRASS.s.p', additive_identity)).
% fof(11, axiom,![X4]:![X5]:backward_box(X4,X5)=c(backward_diamond(X4,c(X5))),file('/tmp/SRASS.s.p', backward_box)).
% fof(13, axiom,![X1]:multiplication(X1,zero)=zero,file('/tmp/SRASS.s.p', right_annihilation)).
% fof(14, axiom,![X1]:multiplication(zero,X1)=zero,file('/tmp/SRASS.s.p', left_annihilation)).
% fof(15, axiom,![X4]:c(X4)=antidomain(domain(X4)),file('/tmp/SRASS.s.p', complement)).
% fof(16, 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(17, axiom,![X4]:![X5]:addition(coantidomain(multiplication(X4,X5)),coantidomain(multiplication(coantidomain(coantidomain(X4)),X5)))=coantidomain(multiplication(coantidomain(coantidomain(X4)),X5)),file('/tmp/SRASS.s.p', codomain2)).
% fof(19, axiom,![X4]:multiplication(X4,coantidomain(X4))=zero,file('/tmp/SRASS.s.p', codomain1)).
% fof(20, axiom,![X4]:addition(coantidomain(coantidomain(X4)),coantidomain(X4))=one,file('/tmp/SRASS.s.p', codomain3)).
% fof(21, axiom,![X4]:multiplication(antidomain(X4),X4)=zero,file('/tmp/SRASS.s.p', domain1)).
% fof(22, axiom,![X4]:addition(antidomain(antidomain(X4)),antidomain(X4))=one,file('/tmp/SRASS.s.p', domain3)).
% fof(23, axiom,![X4]:![X5]:backward_diamond(X4,X5)=codomain(multiplication(codomain(X5),X4)),file('/tmp/SRASS.s.p', backward_diamond)).
% fof(24, axiom,![X1]:multiplication(X1,one)=X1,file('/tmp/SRASS.s.p', multiplicative_right_identity)).
% fof(25, axiom,![X1]:multiplication(one,X1)=X1,file('/tmp/SRASS.s.p', multiplicative_left_identity)).
% fof(26, axiom,![X4]:codomain(X4)=coantidomain(coantidomain(X4)),file('/tmp/SRASS.s.p', codomain4)).
% fof(27, conjecture,![X4]:![X5]:![X6]:(addition(forward_diamond(X4,domain(X5)),domain(X6))=domain(X6)<=addition(domain(X5),backward_box(X4,domain(X6)))=backward_box(X4,domain(X6))),file('/tmp/SRASS.s.p', goals)).
% fof(28, negated_conjecture,~(![X4]:![X5]:![X6]:(addition(forward_diamond(X4,domain(X5)),domain(X6))=domain(X6)<=addition(domain(X5),backward_box(X4,domain(X6)))=backward_box(X4,domain(X6)))),inference(assume_negation,[status(cth)],[27])).
% fof(29, negated_conjecture,~(![X4]:![X5]:![X6]:(addition(domain(X5),backward_box(X4,domain(X6)))=backward_box(X4,domain(X6))=>addition(forward_diamond(X4,domain(X5)),domain(X6))=domain(X6))),inference(fof_simplification,[status(thm)],[28,theory(equality)])).
% fof(30, plain,![X3]:![X4]:addition(X3,X4)=addition(X4,X3),inference(variable_rename,[status(thm)],[1])).
% cnf(31,plain,(addition(X1,X2)=addition(X2,X1)),inference(split_conjunct,[status(thm)],[30])).
% fof(32, plain,![X4]:![X5]:![X6]:addition(X6,addition(X5,X4))=addition(addition(X6,X5),X4),inference(variable_rename,[status(thm)],[2])).
% cnf(33,plain,(addition(X1,addition(X2,X3))=addition(addition(X1,X2),X3)),inference(split_conjunct,[status(thm)],[32])).
% fof(34, plain,![X2]:addition(X2,X2)=X2,inference(variable_rename,[status(thm)],[3])).
% cnf(35,plain,(addition(X1,X1)=X1),inference(split_conjunct,[status(thm)],[34])).
% fof(36, plain,![X6]:![X7]:forward_diamond(X6,X7)=domain(multiplication(X6,domain(X7))),inference(variable_rename,[status(thm)],[4])).
% cnf(37,plain,(forward_diamond(X1,X2)=domain(multiplication(X1,domain(X2)))),inference(split_conjunct,[status(thm)],[36])).
% fof(38, plain,![X4]:![X5]:![X6]:multiplication(X4,addition(X5,X6))=addition(multiplication(X4,X5),multiplication(X4,X6)),inference(variable_rename,[status(thm)],[5])).
% cnf(39,plain,(multiplication(X1,addition(X2,X3))=addition(multiplication(X1,X2),multiplication(X1,X3))),inference(split_conjunct,[status(thm)],[38])).
% fof(40, plain,![X4]:![X5]:![X6]:multiplication(addition(X4,X5),X6)=addition(multiplication(X4,X6),multiplication(X5,X6)),inference(variable_rename,[status(thm)],[6])).
% cnf(41,plain,(multiplication(addition(X1,X2),X3)=addition(multiplication(X1,X3),multiplication(X2,X3))),inference(split_conjunct,[status(thm)],[40])).
% fof(42, plain,![X5]:domain(X5)=antidomain(antidomain(X5)),inference(variable_rename,[status(thm)],[7])).
% cnf(43,plain,(domain(X1)=antidomain(antidomain(X1))),inference(split_conjunct,[status(thm)],[42])).
% fof(44, plain,![X4]:![X5]:![X6]:multiplication(X4,multiplication(X5,X6))=multiplication(multiplication(X4,X5),X6),inference(variable_rename,[status(thm)],[8])).
% cnf(45,plain,(multiplication(X1,multiplication(X2,X3))=multiplication(multiplication(X1,X2),X3)),inference(split_conjunct,[status(thm)],[44])).
% fof(46, plain,![X2]:addition(X2,zero)=X2,inference(variable_rename,[status(thm)],[9])).
% cnf(47,plain,(addition(X1,zero)=X1),inference(split_conjunct,[status(thm)],[46])).
% fof(52, plain,![X6]:![X7]:backward_box(X6,X7)=c(backward_diamond(X6,c(X7))),inference(variable_rename,[status(thm)],[11])).
% cnf(53,plain,(backward_box(X1,X2)=c(backward_diamond(X1,c(X2)))),inference(split_conjunct,[status(thm)],[52])).
% fof(56, plain,![X2]:multiplication(X2,zero)=zero,inference(variable_rename,[status(thm)],[13])).
% cnf(57,plain,(multiplication(X1,zero)=zero),inference(split_conjunct,[status(thm)],[56])).
% fof(58, plain,![X2]:multiplication(zero,X2)=zero,inference(variable_rename,[status(thm)],[14])).
% cnf(59,plain,(multiplication(zero,X1)=zero),inference(split_conjunct,[status(thm)],[58])).
% fof(60, plain,![X5]:c(X5)=antidomain(domain(X5)),inference(variable_rename,[status(thm)],[15])).
% cnf(61,plain,(c(X1)=antidomain(domain(X1))),inference(split_conjunct,[status(thm)],[60])).
% fof(62, 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)],[16])).
% cnf(63,plain,(addition(antidomain(multiplication(X1,X2)),antidomain(multiplication(X1,antidomain(antidomain(X2)))))=antidomain(multiplication(X1,antidomain(antidomain(X2))))),inference(split_conjunct,[status(thm)],[62])).
% fof(64, plain,![X6]:![X7]:addition(coantidomain(multiplication(X6,X7)),coantidomain(multiplication(coantidomain(coantidomain(X6)),X7)))=coantidomain(multiplication(coantidomain(coantidomain(X6)),X7)),inference(variable_rename,[status(thm)],[17])).
% cnf(65,plain,(addition(coantidomain(multiplication(X1,X2)),coantidomain(multiplication(coantidomain(coantidomain(X1)),X2)))=coantidomain(multiplication(coantidomain(coantidomain(X1)),X2))),inference(split_conjunct,[status(thm)],[64])).
% fof(68, plain,![X5]:multiplication(X5,coantidomain(X5))=zero,inference(variable_rename,[status(thm)],[19])).
% cnf(69,plain,(multiplication(X1,coantidomain(X1))=zero),inference(split_conjunct,[status(thm)],[68])).
% fof(70, plain,![X5]:addition(coantidomain(coantidomain(X5)),coantidomain(X5))=one,inference(variable_rename,[status(thm)],[20])).
% cnf(71,plain,(addition(coantidomain(coantidomain(X1)),coantidomain(X1))=one),inference(split_conjunct,[status(thm)],[70])).
% fof(72, plain,![X5]:multiplication(antidomain(X5),X5)=zero,inference(variable_rename,[status(thm)],[21])).
% cnf(73,plain,(multiplication(antidomain(X1),X1)=zero),inference(split_conjunct,[status(thm)],[72])).
% fof(74, plain,![X5]:addition(antidomain(antidomain(X5)),antidomain(X5))=one,inference(variable_rename,[status(thm)],[22])).
% cnf(75,plain,(addition(antidomain(antidomain(X1)),antidomain(X1))=one),inference(split_conjunct,[status(thm)],[74])).
% fof(76, plain,![X6]:![X7]:backward_diamond(X6,X7)=codomain(multiplication(codomain(X7),X6)),inference(variable_rename,[status(thm)],[23])).
% cnf(77,plain,(backward_diamond(X1,X2)=codomain(multiplication(codomain(X2),X1))),inference(split_conjunct,[status(thm)],[76])).
% fof(78, plain,![X2]:multiplication(X2,one)=X2,inference(variable_rename,[status(thm)],[24])).
% cnf(79,plain,(multiplication(X1,one)=X1),inference(split_conjunct,[status(thm)],[78])).
% fof(80, plain,![X2]:multiplication(one,X2)=X2,inference(variable_rename,[status(thm)],[25])).
% cnf(81,plain,(multiplication(one,X1)=X1),inference(split_conjunct,[status(thm)],[80])).
% fof(82, plain,![X5]:codomain(X5)=coantidomain(coantidomain(X5)),inference(variable_rename,[status(thm)],[26])).
% cnf(83,plain,(codomain(X1)=coantidomain(coantidomain(X1))),inference(split_conjunct,[status(thm)],[82])).
% fof(84, negated_conjecture,?[X4]:?[X5]:?[X6]:(addition(domain(X5),backward_box(X4,domain(X6)))=backward_box(X4,domain(X6))&~(addition(forward_diamond(X4,domain(X5)),domain(X6))=domain(X6))),inference(fof_nnf,[status(thm)],[29])).
% fof(85, negated_conjecture,?[X7]:?[X8]:?[X9]:(addition(domain(X8),backward_box(X7,domain(X9)))=backward_box(X7,domain(X9))&~(addition(forward_diamond(X7,domain(X8)),domain(X9))=domain(X9))),inference(variable_rename,[status(thm)],[84])).
% fof(86, negated_conjecture,(addition(domain(esk2_0),backward_box(esk1_0,domain(esk3_0)))=backward_box(esk1_0,domain(esk3_0))&~(addition(forward_diamond(esk1_0,domain(esk2_0)),domain(esk3_0))=domain(esk3_0))),inference(skolemize,[status(esa)],[85])).
% cnf(87,negated_conjecture,(addition(forward_diamond(esk1_0,domain(esk2_0)),domain(esk3_0))!=domain(esk3_0)),inference(split_conjunct,[status(thm)],[86])).
% cnf(88,negated_conjecture,(addition(domain(esk2_0),backward_box(esk1_0,domain(esk3_0)))=backward_box(esk1_0,domain(esk3_0))),inference(split_conjunct,[status(thm)],[86])).
% cnf(90,plain,(antidomain(domain(backward_diamond(X1,antidomain(domain(X2)))))=backward_box(X1,X2)),inference(rw,[status(thm)],[inference(rw,[status(thm)],[53,61,theory(equality)]),61,theory(equality)]),['unfolding']).
% cnf(91,plain,(antidomain(antidomain(multiplication(X1,antidomain(antidomain(X2)))))=forward_diamond(X1,X2)),inference(rw,[status(thm)],[inference(rw,[status(thm)],[37,43,theory(equality)]),43,theory(equality)]),['unfolding']).
% cnf(93,plain,(antidomain(antidomain(antidomain(backward_diamond(X1,antidomain(antidomain(antidomain(X2)))))))=backward_box(X1,X2)),inference(rw,[status(thm)],[inference(rw,[status(thm)],[90,43,theory(equality)]),43,theory(equality)]),['unfolding']).
% cnf(95,negated_conjecture,(addition(antidomain(antidomain(esk2_0)),backward_box(esk1_0,antidomain(antidomain(esk3_0))))=backward_box(esk1_0,antidomain(antidomain(esk3_0)))),inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[88,43,theory(equality)]),43,theory(equality)]),43,theory(equality)]),['unfolding']).
% cnf(96,negated_conjecture,(addition(forward_diamond(esk1_0,antidomain(antidomain(esk2_0))),antidomain(antidomain(esk3_0)))!=antidomain(antidomain(esk3_0))),inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[87,43,theory(equality)]),43,theory(equality)]),43,theory(equality)]),['unfolding']).
% cnf(97,plain,(coantidomain(coantidomain(multiplication(coantidomain(coantidomain(X2)),X1)))=backward_diamond(X1,X2)),inference(rw,[status(thm)],[inference(rw,[status(thm)],[77,83,theory(equality)]),83,theory(equality)]),['unfolding']).
% cnf(99,negated_conjecture,(addition(antidomain(antidomain(multiplication(esk1_0,antidomain(antidomain(antidomain(antidomain(esk2_0))))))),antidomain(antidomain(esk3_0)))!=antidomain(antidomain(esk3_0))),inference(rw,[status(thm)],[96,91,theory(equality)]),['unfolding']).
% cnf(100,negated_conjecture,(addition(antidomain(antidomain(esk2_0)),antidomain(antidomain(antidomain(backward_diamond(esk1_0,antidomain(antidomain(antidomain(antidomain(antidomain(esk3_0))))))))))=antidomain(antidomain(antidomain(backward_diamond(esk1_0,antidomain(antidomain(antidomain(antidomain(antidomain(esk3_0)))))))))),inference(rw,[status(thm)],[inference(rw,[status(thm)],[95,93,theory(equality)]),93,theory(equality)]),['unfolding']).
% cnf(101,negated_conjecture,(addition(antidomain(antidomain(esk2_0)),antidomain(antidomain(antidomain(coantidomain(coantidomain(multiplication(coantidomain(coantidomain(antidomain(antidomain(antidomain(antidomain(antidomain(esk3_0))))))),esk1_0)))))))=antidomain(antidomain(antidomain(coantidomain(coantidomain(multiplication(coantidomain(coantidomain(antidomain(antidomain(antidomain(antidomain(antidomain(esk3_0))))))),esk1_0))))))),inference(rw,[status(thm)],[inference(rw,[status(thm)],[100,97,theory(equality)]),97,theory(equality)]),['unfolding']).
% cnf(102,plain,(addition(antidomain(X1),antidomain(antidomain(X1)))=one),inference(rw,[status(thm)],[75,31,theory(equality)])).
% cnf(103,plain,(addition(coantidomain(X1),coantidomain(coantidomain(X1)))=one),inference(rw,[status(thm)],[71,31,theory(equality)])).
% cnf(104,negated_conjecture,(addition(antidomain(antidomain(esk3_0)),antidomain(antidomain(multiplication(esk1_0,antidomain(antidomain(antidomain(antidomain(esk2_0))))))))!=antidomain(antidomain(esk3_0))),inference(rw,[status(thm)],[99,31,theory(equality)])).
% cnf(105,plain,(zero=coantidomain(one)),inference(spm,[status(thm)],[81,69,theory(equality)])).
% cnf(106,plain,(zero=antidomain(one)),inference(spm,[status(thm)],[79,73,theory(equality)])).
% cnf(107,plain,(addition(zero,X1)=X1),inference(spm,[status(thm)],[47,31,theory(equality)])).
% cnf(119,plain,(addition(one,X2)=addition(antidomain(X1),addition(antidomain(antidomain(X1)),X2))),inference(spm,[status(thm)],[33,102,theory(equality)])).
% cnf(121,plain,(addition(X1,X2)=addition(X1,addition(X1,X2))),inference(spm,[status(thm)],[33,35,theory(equality)])).
% cnf(137,plain,(multiplication(zero,X2)=multiplication(X1,multiplication(coantidomain(X1),X2))),inference(spm,[status(thm)],[45,69,theory(equality)])).
% cnf(148,plain,(zero=multiplication(X1,multiplication(coantidomain(X1),X2))),inference(rw,[status(thm)],[137,59,theory(equality)])).
% cnf(157,plain,(addition(multiplication(antidomain(X1),X2),zero)=multiplication(antidomain(X1),addition(X2,X1))),inference(spm,[status(thm)],[39,73,theory(equality)])).
% cnf(159,plain,(addition(multiplication(X1,X2),X1)=multiplication(X1,addition(X2,one))),inference(spm,[status(thm)],[39,79,theory(equality)])).
% cnf(160,plain,(addition(multiplication(X1,X2),zero)=multiplication(X1,addition(X2,coantidomain(X1)))),inference(spm,[status(thm)],[39,69,theory(equality)])).
% cnf(176,plain,(multiplication(antidomain(X1),X2)=multiplication(antidomain(X1),addition(X2,X1))),inference(rw,[status(thm)],[157,47,theory(equality)])).
% cnf(179,plain,(multiplication(X1,X2)=multiplication(X1,addition(X2,coantidomain(X1)))),inference(rw,[status(thm)],[160,47,theory(equality)])).
% cnf(193,plain,(addition(multiplication(X1,X2),X2)=multiplication(addition(X1,one),X2)),inference(spm,[status(thm)],[41,81,theory(equality)])).
% cnf(195,plain,(addition(multiplication(X1,X2),zero)=multiplication(addition(X1,antidomain(X2)),X2)),inference(spm,[status(thm)],[41,73,theory(equality)])).
% cnf(198,plain,(addition(multiplication(X1,coantidomain(X2)),zero)=multiplication(addition(X1,X2),coantidomain(X2))),inference(spm,[status(thm)],[41,69,theory(equality)])).
% cnf(214,plain,(multiplication(X1,X2)=multiplication(addition(X1,antidomain(X2)),X2)),inference(rw,[status(thm)],[195,47,theory(equality)])).
% cnf(217,plain,(multiplication(X1,coantidomain(X2))=multiplication(addition(X1,X2),coantidomain(X2))),inference(rw,[status(thm)],[198,47,theory(equality)])).
% cnf(246,plain,(addition(coantidomain(multiplication(X1,one)),coantidomain(coantidomain(coantidomain(X1))))=coantidomain(coantidomain(coantidomain(X1)))),inference(spm,[status(thm)],[65,79,theory(equality)])).
% cnf(256,plain,(addition(coantidomain(X1),coantidomain(coantidomain(coantidomain(X1))))=coantidomain(coantidomain(coantidomain(X1)))),inference(rw,[status(thm)],[246,79,theory(equality)])).
% cnf(265,plain,(addition(zero,coantidomain(zero))=one),inference(spm,[status(thm)],[103,105,theory(equality)])).
% cnf(270,plain,(addition(zero,antidomain(zero))=one),inference(spm,[status(thm)],[102,106,theory(equality)])).
% cnf(285,plain,(addition(coantidomain(X1),one)=one),inference(spm,[status(thm)],[121,103,theory(equality)])).
% cnf(289,plain,(addition(antidomain(X1),one)=one),inference(spm,[status(thm)],[121,102,theory(equality)])).
% cnf(295,plain,(addition(X1,addition(X2,X1))=addition(X2,X1)),inference(spm,[status(thm)],[121,31,theory(equality)])).
% cnf(311,plain,(addition(one,coantidomain(X1))=one),inference(rw,[status(thm)],[285,31,theory(equality)])).
% cnf(317,plain,(addition(one,antidomain(X1))=one),inference(rw,[status(thm)],[289,31,theory(equality)])).
% cnf(422,plain,(coantidomain(zero)=one),inference(rw,[status(thm)],[265,107,theory(equality)])).
% cnf(434,plain,(antidomain(zero)=one),inference(rw,[status(thm)],[270,107,theory(equality)])).
% cnf(519,plain,(multiplication(X1,addition(coantidomain(X1),X2))=multiplication(X1,X2)),inference(spm,[status(thm)],[179,31,theory(equality)])).
% cnf(581,plain,(multiplication(addition(antidomain(X2),X1),X2)=multiplication(X1,X2)),inference(spm,[status(thm)],[214,31,theory(equality)])).
% cnf(638,plain,(multiplication(X1,one)=multiplication(X1,coantidomain(coantidomain(X1)))),inference(spm,[status(thm)],[519,103,theory(equality)])).
% cnf(657,plain,(X1=multiplication(X1,coantidomain(coantidomain(X1)))),inference(rw,[status(thm)],[638,79,theory(equality)])).
% cnf(662,plain,(multiplication(X1,X2)=multiplication(X1,multiplication(coantidomain(coantidomain(X1)),X2))),inference(spm,[status(thm)],[45,657,theory(equality)])).
% cnf(698,plain,(multiplication(one,X1)=multiplication(antidomain(antidomain(X1)),X1)),inference(spm,[status(thm)],[581,102,theory(equality)])).
% cnf(714,plain,(X1=multiplication(antidomain(antidomain(X1)),X1)),inference(rw,[status(thm)],[698,81,theory(equality)])).
% cnf(717,plain,(multiplication(X1,X2)=multiplication(antidomain(antidomain(X1)),multiplication(X1,X2))),inference(spm,[status(thm)],[45,714,theory(equality)])).
% cnf(948,plain,(multiplication(coantidomain(coantidomain(X1)),coantidomain(coantidomain(coantidomain(X1))))=multiplication(coantidomain(coantidomain(X1)),coantidomain(X1))),inference(spm,[status(thm)],[179,256,theory(equality)])).
% cnf(955,plain,(zero=multiplication(coantidomain(coantidomain(X1)),coantidomain(X1))),inference(rw,[status(thm)],[948,69,theory(equality)])).
% cnf(967,plain,(addition(antidomain(zero),antidomain(multiplication(coantidomain(coantidomain(X1)),antidomain(antidomain(coantidomain(X1))))))=antidomain(multiplication(coantidomain(coantidomain(X1)),antidomain(antidomain(coantidomain(X1)))))),inference(spm,[status(thm)],[63,955,theory(equality)])).
% cnf(982,plain,(one=antidomain(multiplication(coantidomain(coantidomain(X1)),antidomain(antidomain(coantidomain(X1)))))),inference(rw,[status(thm)],[inference(rw,[status(thm)],[967,434,theory(equality)]),317,theory(equality)])).
% cnf(1007,plain,(multiplication(antidomain(coantidomain(coantidomain(X1))),one)=multiplication(antidomain(coantidomain(coantidomain(X1))),coantidomain(X1))),inference(spm,[status(thm)],[176,103,theory(equality)])).
% cnf(1012,plain,(multiplication(antidomain(antidomain(antidomain(X1))),one)=multiplication(antidomain(antidomain(antidomain(X1))),antidomain(X1))),inference(spm,[status(thm)],[176,102,theory(equality)])).
% cnf(1019,plain,(multiplication(antidomain(addition(X1,X2)),addition(X1,X2))=multiplication(antidomain(addition(X1,X2)),X1)),inference(spm,[status(thm)],[176,121,theory(equality)])).
% cnf(1021,plain,(multiplication(antidomain(X1),addition(X1,X2))=multiplication(antidomain(X1),X2)),inference(spm,[status(thm)],[176,31,theory(equality)])).
% cnf(1034,plain,(antidomain(coantidomain(coantidomain(X1)))=multiplication(antidomain(coantidomain(coantidomain(X1))),coantidomain(X1))),inference(rw,[status(thm)],[1007,79,theory(equality)])).
% cnf(1040,plain,(antidomain(antidomain(antidomain(X1)))=multiplication(antidomain(antidomain(antidomain(X1))),antidomain(X1))),inference(rw,[status(thm)],[1012,79,theory(equality)])).
% cnf(1041,plain,(antidomain(antidomain(antidomain(X1)))=antidomain(X1)),inference(rw,[status(thm)],[1040,714,theory(equality)])).
% cnf(1044,plain,(zero=multiplication(antidomain(addition(X1,X2)),X1)),inference(rw,[status(thm)],[1019,73,theory(equality)])).
% cnf(1071,negated_conjecture,(addition(antidomain(antidomain(esk2_0)),antidomain(coantidomain(coantidomain(multiplication(coantidomain(coantidomain(antidomain(esk3_0))),esk1_0)))))=antidomain(antidomain(antidomain(coantidomain(coantidomain(multiplication(coantidomain(coantidomain(antidomain(antidomain(antidomain(antidomain(antidomain(esk3_0))))))),esk1_0))))))),inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[101,1041,theory(equality)]),1041,theory(equality)]),1041,theory(equality)])).
% cnf(1072,negated_conjecture,(addition(antidomain(antidomain(esk2_0)),antidomain(coantidomain(coantidomain(multiplication(coantidomain(coantidomain(antidomain(esk3_0))),esk1_0)))))=antidomain(coantidomain(coantidomain(multiplication(coantidomain(coantidomain(antidomain(esk3_0))),esk1_0))))),inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1071,1041,theory(equality)]),1041,theory(equality)]),1041,theory(equality)])).
% cnf(1073,negated_conjecture,(addition(antidomain(antidomain(esk3_0)),antidomain(antidomain(multiplication(esk1_0,antidomain(antidomain(esk2_0))))))!=antidomain(antidomain(esk3_0))),inference(rw,[status(thm)],[104,1041,theory(equality)])).
% cnf(1092,plain,(addition(zero,multiplication(X3,X1))=multiplication(addition(antidomain(addition(X1,X2)),X3),X1)),inference(spm,[status(thm)],[41,1044,theory(equality)])).
% cnf(1094,plain,(addition(coantidomain(zero),coantidomain(multiplication(coantidomain(coantidomain(antidomain(addition(X1,X2)))),X1)))=coantidomain(multiplication(coantidomain(coantidomain(antidomain(addition(X1,X2)))),X1))),inference(spm,[status(thm)],[65,1044,theory(equality)])).
% cnf(1123,plain,(multiplication(X3,X1)=multiplication(addition(antidomain(addition(X1,X2)),X3),X1)),inference(rw,[status(thm)],[1092,107,theory(equality)])).
% cnf(1125,plain,(one=coantidomain(multiplication(coantidomain(coantidomain(antidomain(addition(X1,X2)))),X1))),inference(rw,[status(thm)],[inference(rw,[status(thm)],[1094,422,theory(equality)]),311,theory(equality)])).
% cnf(1393,negated_conjecture,(addition(antidomain(esk2_0),antidomain(coantidomain(coantidomain(multiplication(coantidomain(coantidomain(antidomain(esk3_0))),esk1_0)))))=addition(one,antidomain(coantidomain(coantidomain(multiplication(coantidomain(coantidomain(antidomain(esk3_0))),esk1_0)))))),inference(spm,[status(thm)],[119,1072,theory(equality)])).
% cnf(1424,negated_conjecture,(addition(antidomain(esk2_0),antidomain(coantidomain(coantidomain(multiplication(coantidomain(coantidomain(antidomain(esk3_0))),esk1_0)))))=one),inference(rw,[status(thm)],[1393,317,theory(equality)])).
% cnf(1445,plain,(multiplication(one,coantidomain(coantidomain(coantidomain(X1))))=multiplication(coantidomain(X1),coantidomain(coantidomain(coantidomain(X1))))),inference(spm,[status(thm)],[217,103,theory(equality)])).
% cnf(1451,plain,(multiplication(addition(one,X2),coantidomain(addition(antidomain(antidomain(X1)),X2)))=multiplication(antidomain(X1),coantidomain(addition(antidomain(antidomain(X1)),X2)))),inference(spm,[status(thm)],[217,119,theory(equality)])).
% cnf(1457,plain,(multiplication(addition(X1,X2),coantidomain(addition(X1,X2)))=multiplication(X1,coantidomain(addition(X1,X2)))),inference(spm,[status(thm)],[217,121,theory(equality)])).
% cnf(1458,plain,(multiplication(addition(X2,X1),coantidomain(addition(X2,X1)))=multiplication(X1,coantidomain(addition(X2,X1)))),inference(spm,[status(thm)],[217,295,theory(equality)])).
% cnf(1459,plain,(multiplication(addition(X2,X1),coantidomain(X2))=multiplication(X1,coantidomain(X2))),inference(spm,[status(thm)],[217,31,theory(equality)])).
% cnf(1473,plain,(coantidomain(coantidomain(coantidomain(X1)))=multiplication(coantidomain(X1),coantidomain(coantidomain(coantidomain(X1))))),inference(rw,[status(thm)],[1445,81,theory(equality)])).
% cnf(1474,plain,(coantidomain(coantidomain(coantidomain(X1)))=coantidomain(X1)),inference(rw,[status(thm)],[1473,657,theory(equality)])).
% cnf(1485,plain,(zero=multiplication(X1,coantidomain(addition(X1,X2)))),inference(rw,[status(thm)],[1457,69,theory(equality)])).
% cnf(1486,plain,(zero=multiplication(X1,coantidomain(addition(X2,X1)))),inference(rw,[status(thm)],[1458,69,theory(equality)])).
% cnf(1528,plain,(addition(zero,multiplication(X1,X3))=multiplication(X1,addition(coantidomain(addition(X1,X2)),X3))),inference(spm,[status(thm)],[39,1485,theory(equality)])).
% cnf(1561,plain,(multiplication(X1,X3)=multiplication(X1,addition(coantidomain(addition(X1,X2)),X3))),inference(rw,[status(thm)],[1528,107,theory(equality)])).
% cnf(1681,plain,(addition(multiplication(X1,coantidomain(addition(X2,X3))),zero)=multiplication(addition(X1,X3),coantidomain(addition(X2,X3)))),inference(spm,[status(thm)],[41,1486,theory(equality)])).
% cnf(1717,plain,(multiplication(X1,coantidomain(addition(X2,X3)))=multiplication(addition(X1,X3),coantidomain(addition(X2,X3)))),inference(rw,[status(thm)],[1681,47,theory(equality)])).
% cnf(1961,plain,(multiplication(antidomain(coantidomain(X1)),one)=multiplication(antidomain(coantidomain(X1)),coantidomain(coantidomain(X1)))),inference(spm,[status(thm)],[1021,103,theory(equality)])).
% cnf(1994,plain,(antidomain(coantidomain(X1))=multiplication(antidomain(coantidomain(X1)),coantidomain(coantidomain(X1)))),inference(rw,[status(thm)],[1961,79,theory(equality)])).
% cnf(2033,plain,(multiplication(one,coantidomain(antidomain(X1)))=multiplication(antidomain(antidomain(X1)),coantidomain(antidomain(X1)))),inference(spm,[status(thm)],[1459,102,theory(equality)])).
% cnf(2067,plain,(coantidomain(antidomain(X1))=multiplication(antidomain(antidomain(X1)),coantidomain(antidomain(X1)))),inference(rw,[status(thm)],[2033,81,theory(equality)])).
% cnf(2576,plain,(addition(X1,multiplication(X1,X2))=multiplication(X1,addition(X2,one))),inference(rw,[status(thm)],[159,31,theory(equality)])).
% cnf(2612,plain,(addition(antidomain(antidomain(X1)),multiplication(X1,X2))=multiplication(antidomain(antidomain(X1)),addition(multiplication(X1,X2),one))),inference(spm,[status(thm)],[2576,717,theory(equality)])).
% cnf(2703,plain,(addition(X2,multiplication(X1,X2))=multiplication(addition(X1,one),X2)),inference(rw,[status(thm)],[193,31,theory(equality)])).
% cnf(2763,plain,(addition(addition(X1,coantidomain(X2)),multiplication(X2,X1))=multiplication(addition(X2,one),addition(X1,coantidomain(X2)))),inference(spm,[status(thm)],[2703,179,theory(equality)])).
% cnf(2825,plain,(addition(X1,addition(coantidomain(X2),multiplication(X2,X1)))=multiplication(addition(X2,one),addition(X1,coantidomain(X2)))),inference(rw,[status(thm)],[2763,33,theory(equality)])).
% cnf(4942,plain,(multiplication(one,multiplication(coantidomain(coantidomain(X1)),antidomain(antidomain(coantidomain(X1)))))=zero),inference(spm,[status(thm)],[73,982,theory(equality)])).
% cnf(4981,plain,(multiplication(coantidomain(coantidomain(X1)),antidomain(antidomain(coantidomain(X1))))=zero),inference(rw,[status(thm)],[4942,81,theory(equality)])).
% cnf(5043,plain,(multiplication(X1,zero)=multiplication(X1,antidomain(antidomain(coantidomain(X1))))),inference(spm,[status(thm)],[662,4981,theory(equality)])).
% cnf(5085,plain,(zero=multiplication(X1,antidomain(antidomain(coantidomain(X1))))),inference(rw,[status(thm)],[5043,57,theory(equality)])).
% cnf(5110,plain,(addition(zero,multiplication(X1,X2))=multiplication(X1,addition(antidomain(antidomain(coantidomain(X1))),X2))),inference(spm,[status(thm)],[39,5085,theory(equality)])).
% cnf(5144,plain,(multiplication(X1,X2)=multiplication(X1,addition(antidomain(antidomain(coantidomain(X1))),X2))),inference(rw,[status(thm)],[5110,107,theory(equality)])).
% cnf(7956,plain,(multiplication(one,X1)=multiplication(antidomain(antidomain(addition(X1,X2))),X1)),inference(spm,[status(thm)],[1123,102,theory(equality)])).
% cnf(8014,plain,(X1=multiplication(antidomain(antidomain(addition(X1,X2))),X1)),inference(rw,[status(thm)],[7956,81,theory(equality)])).
% cnf(8018,plain,(multiplication(X1,X3)=multiplication(antidomain(antidomain(addition(X1,X2))),multiplication(X1,X3))),inference(spm,[status(thm)],[45,8014,theory(equality)])).
% cnf(8068,plain,(multiplication(antidomain(antidomain(addition(X2,X1))),X1)=X1),inference(spm,[status(thm)],[8014,295,theory(equality)])).
% cnf(9555,plain,(multiplication(X1,one)=multiplication(X1,coantidomain(coantidomain(addition(X1,X2))))),inference(spm,[status(thm)],[1561,103,theory(equality)])).
% cnf(9633,plain,(X1=multiplication(X1,coantidomain(coantidomain(addition(X1,X2))))),inference(rw,[status(thm)],[9555,79,theory(equality)])).
% cnf(10886,plain,(coantidomain(multiplication(coantidomain(coantidomain(antidomain(X1))),X1))=one),inference(spm,[status(thm)],[1125,47,theory(equality)])).
% cnf(10975,plain,(multiplication(multiplication(coantidomain(coantidomain(antidomain(X1))),X1),one)=zero),inference(spm,[status(thm)],[69,10886,theory(equality)])).
% cnf(11023,plain,(multiplication(coantidomain(coantidomain(antidomain(X1))),X1)=zero),inference(rw,[status(thm)],[inference(rw,[status(thm)],[10975,45,theory(equality)]),79,theory(equality)])).
% cnf(13704,plain,(multiplication(X1,one)=multiplication(X1,antidomain(antidomain(antidomain(coantidomain(X1)))))),inference(spm,[status(thm)],[5144,102,theory(equality)])).
% cnf(13763,plain,(X1=multiplication(X1,antidomain(antidomain(antidomain(coantidomain(X1)))))),inference(rw,[status(thm)],[13704,79,theory(equality)])).
% cnf(13764,plain,(X1=multiplication(X1,antidomain(coantidomain(X1)))),inference(rw,[status(thm)],[13763,1041,theory(equality)])).
% cnf(13781,plain,(multiplication(X1,X2)=multiplication(X1,multiplication(antidomain(coantidomain(X1)),X2))),inference(spm,[status(thm)],[45,13764,theory(equality)])).
% cnf(13807,plain,(multiplication(coantidomain(coantidomain(X1)),antidomain(coantidomain(X1)))=coantidomain(coantidomain(X1))),inference(spm,[status(thm)],[13764,1474,theory(equality)])).
% cnf(14258,plain,(addition(antidomain(coantidomain(X1)),coantidomain(coantidomain(X1)))=multiplication(addition(coantidomain(coantidomain(X1)),one),antidomain(coantidomain(X1)))),inference(spm,[status(thm)],[2703,13807,theory(equality)])).
% cnf(14303,plain,(addition(antidomain(coantidomain(X1)),coantidomain(coantidomain(X1)))=antidomain(coantidomain(X1))),inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[14258,31,theory(equality)]),311,theory(equality)]),81,theory(equality)])).
% cnf(14364,plain,(multiplication(antidomain(antidomain(antidomain(coantidomain(X1)))),coantidomain(coantidomain(X1)))=coantidomain(coantidomain(X1))),inference(spm,[status(thm)],[8068,14303,theory(equality)])).
% cnf(14425,plain,(antidomain(coantidomain(X1))=coantidomain(coantidomain(X1))),inference(rw,[status(thm)],[inference(rw,[status(thm)],[14364,1041,theory(equality)]),1994,theory(equality)])).
% cnf(14515,plain,(coantidomain(X1)=antidomain(coantidomain(coantidomain(X1)))),inference(rw,[status(thm)],[inference(rw,[status(thm)],[1034,14425,theory(equality)]),714,theory(equality)])).
% cnf(14516,plain,(coantidomain(X1)=antidomain(antidomain(coantidomain(X1)))),inference(rw,[status(thm)],[14515,14425,theory(equality)])).
% cnf(14529,plain,(multiplication(X1,antidomain(coantidomain(addition(X1,X2))))=X1),inference(rw,[status(thm)],[9633,14425,theory(equality)])).
% cnf(14533,negated_conjecture,(addition(antidomain(esk2_0),antidomain(antidomain(coantidomain(multiplication(antidomain(coantidomain(antidomain(esk3_0))),esk1_0)))))=one),inference(rw,[status(thm)],[inference(rw,[status(thm)],[1424,14425,theory(equality)]),14425,theory(equality)])).
% cnf(14537,plain,(multiplication(antidomain(coantidomain(antidomain(X1))),X1)=zero),inference(rw,[status(thm)],[11023,14425,theory(equality)])).
% cnf(14859,plain,(addition(zero,multiplication(X2,X1))=multiplication(addition(antidomain(coantidomain(antidomain(X1))),X2),X1)),inference(spm,[status(thm)],[41,14537,theory(equality)])).
% cnf(14907,plain,(multiplication(X2,X1)=multiplication(addition(antidomain(coantidomain(antidomain(X1))),X2),X1)),inference(rw,[status(thm)],[14859,107,theory(equality)])).
% cnf(17250,negated_conjecture,(addition(antidomain(esk2_0),coantidomain(multiplication(antidomain(coantidomain(antidomain(esk3_0))),esk1_0)))=one),inference(rw,[status(thm)],[14533,14516,theory(equality)])).
% cnf(17299,negated_conjecture,(multiplication(one,esk2_0)=multiplication(coantidomain(multiplication(antidomain(coantidomain(antidomain(esk3_0))),esk1_0)),esk2_0)),inference(spm,[status(thm)],[581,17250,theory(equality)])).
% cnf(17344,negated_conjecture,(esk2_0=multiplication(coantidomain(multiplication(antidomain(coantidomain(antidomain(esk3_0))),esk1_0)),esk2_0)),inference(rw,[status(thm)],[17299,81,theory(equality)])).
% cnf(17380,negated_conjecture,(multiplication(multiplication(antidomain(coantidomain(antidomain(esk3_0))),esk1_0),esk2_0)=zero),inference(spm,[status(thm)],[148,17344,theory(equality)])).
% cnf(17393,negated_conjecture,(multiplication(antidomain(coantidomain(antidomain(esk3_0))),multiplication(esk1_0,esk2_0))=zero),inference(rw,[status(thm)],[17380,45,theory(equality)])).
% cnf(17430,negated_conjecture,(multiplication(antidomain(esk3_0),zero)=multiplication(antidomain(esk3_0),multiplication(esk1_0,esk2_0))),inference(spm,[status(thm)],[13781,17393,theory(equality)])).
% cnf(17465,negated_conjecture,(zero=multiplication(antidomain(esk3_0),multiplication(esk1_0,esk2_0))),inference(rw,[status(thm)],[17430,57,theory(equality)])).
% cnf(17469,negated_conjecture,(addition(antidomain(zero),antidomain(multiplication(antidomain(esk3_0),antidomain(antidomain(multiplication(esk1_0,esk2_0))))))=antidomain(multiplication(antidomain(esk3_0),antidomain(antidomain(multiplication(esk1_0,esk2_0)))))),inference(spm,[status(thm)],[63,17465,theory(equality)])).
% cnf(17499,negated_conjecture,(one=antidomain(multiplication(antidomain(esk3_0),antidomain(antidomain(multiplication(esk1_0,esk2_0)))))),inference(rw,[status(thm)],[inference(rw,[status(thm)],[17469,434,theory(equality)]),317,theory(equality)])).
% cnf(17796,negated_conjecture,(multiplication(one,multiplication(antidomain(esk3_0),antidomain(antidomain(multiplication(esk1_0,esk2_0)))))=zero),inference(spm,[status(thm)],[73,17499,theory(equality)])).
% cnf(17830,negated_conjecture,(multiplication(antidomain(esk3_0),antidomain(antidomain(multiplication(esk1_0,esk2_0))))=zero),inference(rw,[status(thm)],[17796,81,theory(equality)])).
% cnf(17874,negated_conjecture,(addition(zero,multiplication(antidomain(esk3_0),X1))=multiplication(antidomain(esk3_0),addition(antidomain(antidomain(multiplication(esk1_0,esk2_0))),X1))),inference(spm,[status(thm)],[39,17830,theory(equality)])).
% cnf(17904,negated_conjecture,(multiplication(antidomain(esk3_0),X1)=multiplication(antidomain(esk3_0),addition(antidomain(antidomain(multiplication(esk1_0,esk2_0))),X1))),inference(rw,[status(thm)],[17874,107,theory(equality)])).
% cnf(19057,plain,(multiplication(one,X1)=multiplication(antidomain(antidomain(coantidomain(antidomain(X1)))),X1)),inference(spm,[status(thm)],[14907,102,theory(equality)])).
% cnf(19117,plain,(X1=multiplication(antidomain(antidomain(coantidomain(antidomain(X1)))),X1)),inference(rw,[status(thm)],[19057,81,theory(equality)])).
% cnf(19118,plain,(X1=multiplication(coantidomain(antidomain(X1)),X1)),inference(rw,[status(thm)],[19117,14516,theory(equality)])).
% cnf(19163,plain,(multiplication(coantidomain(antidomain(X1)),antidomain(antidomain(X1)))=antidomain(antidomain(X1))),inference(spm,[status(thm)],[19118,1041,theory(equality)])).
% cnf(20274,plain,(addition(coantidomain(antidomain(X1)),antidomain(antidomain(X1)))=multiplication(coantidomain(antidomain(X1)),addition(antidomain(antidomain(X1)),one))),inference(spm,[status(thm)],[2576,19163,theory(equality)])).
% cnf(20331,plain,(addition(coantidomain(antidomain(X1)),antidomain(antidomain(X1)))=coantidomain(antidomain(X1))),inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[20274,31,theory(equality)]),317,theory(equality)]),79,theory(equality)])).
% cnf(20392,plain,(addition(antidomain(antidomain(X1)),coantidomain(antidomain(X1)))=coantidomain(antidomain(X1))),inference(rw,[status(thm)],[20331,31,theory(equality)])).
% cnf(20409,plain,(multiplication(antidomain(antidomain(X1)),antidomain(coantidomain(coantidomain(antidomain(X1)))))=antidomain(antidomain(X1))),inference(spm,[status(thm)],[14529,20392,theory(equality)])).
% cnf(20479,plain,(coantidomain(antidomain(X1))=antidomain(antidomain(X1))),inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[20409,14425,theory(equality)]),14516,theory(equality)]),2067,theory(equality)])).
% cnf(208763,plain,(coantidomain(addition(antidomain(antidomain(X2)),X1))=multiplication(antidomain(X2),coantidomain(addition(antidomain(antidomain(X2)),X1)))),inference(rw,[status(thm)],[inference(rw,[status(thm)],[1451,1717,theory(equality)]),81,theory(equality)])).
% cnf(346273,plain,(multiplication(antidomain(antidomain(X1)),addition(one,multiplication(X1,X2)))=addition(antidomain(antidomain(X1)),multiplication(X1,X2))),inference(rw,[status(thm)],[2612,31,theory(equality)])).
% cnf(346493,plain,(multiplication(antidomain(antidomain(antidomain(X1))),addition(one,coantidomain(addition(antidomain(antidomain(X1)),X2))))=addition(antidomain(antidomain(antidomain(X1))),coantidomain(addition(antidomain(antidomain(X1)),X2)))),inference(spm,[status(thm)],[346273,208763,theory(equality)])).
% cnf(347269,plain,(antidomain(X1)=addition(antidomain(antidomain(antidomain(X1))),coantidomain(addition(antidomain(antidomain(X1)),X2)))),inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[346493,1041,theory(equality)]),311,theory(equality)]),79,theory(equality)])).
% cnf(347270,plain,(antidomain(X1)=addition(antidomain(X1),coantidomain(addition(antidomain(antidomain(X1)),X2)))),inference(rw,[status(thm)],[347269,1041,theory(equality)])).
% cnf(348454,plain,(addition(antidomain(antidomain(X1)),coantidomain(addition(antidomain(X1),X2)))=antidomain(antidomain(X1))),inference(spm,[status(thm)],[347270,1041,theory(equality)])).
% cnf(477631,negated_conjecture,(multiplication(antidomain(esk3_0),one)=multiplication(antidomain(esk3_0),antidomain(antidomain(antidomain(multiplication(esk1_0,esk2_0)))))),inference(spm,[status(thm)],[17904,102,theory(equality)])).
% cnf(477861,negated_conjecture,(antidomain(esk3_0)=multiplication(antidomain(esk3_0),antidomain(antidomain(antidomain(multiplication(esk1_0,esk2_0)))))),inference(rw,[status(thm)],[477631,79,theory(equality)])).
% cnf(477862,negated_conjecture,(antidomain(esk3_0)=multiplication(antidomain(esk3_0),antidomain(multiplication(esk1_0,esk2_0)))),inference(rw,[status(thm)],[477861,1041,theory(equality)])).
% cnf(477999,negated_conjecture,(addition(antidomain(multiplication(esk1_0,esk2_0)),addition(coantidomain(antidomain(esk3_0)),antidomain(esk3_0)))=multiplication(addition(antidomain(esk3_0),one),addition(antidomain(multiplication(esk1_0,esk2_0)),coantidomain(antidomain(esk3_0))))),inference(spm,[status(thm)],[2825,477862,theory(equality)])).
% cnf(478167,negated_conjecture,(one=multiplication(addition(antidomain(esk3_0),one),addition(antidomain(multiplication(esk1_0,esk2_0)),coantidomain(antidomain(esk3_0))))),inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[477999,20479,theory(equality)]),31,theory(equality)]),102,theory(equality)]),31,theory(equality)]),317,theory(equality)])).
% cnf(478168,negated_conjecture,(one=addition(antidomain(antidomain(esk3_0)),antidomain(multiplication(esk1_0,esk2_0)))),inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[478167,31,theory(equality)]),317,theory(equality)]),20479,theory(equality)]),31,theory(equality)]),81,theory(equality)])).
% cnf(478225,negated_conjecture,(multiplication(one,coantidomain(antidomain(antidomain(esk3_0))))=multiplication(antidomain(multiplication(esk1_0,esk2_0)),coantidomain(antidomain(antidomain(esk3_0))))),inference(spm,[status(thm)],[1459,478168,theory(equality)])).
% cnf(478522,negated_conjecture,(antidomain(esk3_0)=multiplication(antidomain(multiplication(esk1_0,esk2_0)),coantidomain(antidomain(antidomain(esk3_0))))),inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[478225,20479,theory(equality)]),1041,theory(equality)]),81,theory(equality)])).
% cnf(478523,negated_conjecture,(antidomain(esk3_0)=multiplication(antidomain(multiplication(esk1_0,esk2_0)),antidomain(esk3_0))),inference(rw,[status(thm)],[inference(rw,[status(thm)],[478522,20479,theory(equality)]),1041,theory(equality)])).
% cnf(478922,negated_conjecture,(multiplication(antidomain(antidomain(addition(antidomain(multiplication(esk1_0,esk2_0)),X1))),antidomain(esk3_0))=antidomain(esk3_0)),inference(spm,[status(thm)],[8018,478523,theory(equality)])).
% cnf(491633,negated_conjecture,(multiplication(antidomain(antidomain(antidomain(multiplication(esk1_0,antidomain(antidomain(esk2_0)))))),antidomain(esk3_0))=antidomain(esk3_0)),inference(spm,[status(thm)],[478922,63,theory(equality)])).
% cnf(491854,negated_conjecture,(multiplication(antidomain(multiplication(esk1_0,antidomain(antidomain(esk2_0)))),antidomain(esk3_0))=antidomain(esk3_0)),inference(rw,[status(thm)],[491633,1041,theory(equality)])).
% cnf(491920,negated_conjecture,(addition(antidomain(multiplication(esk1_0,antidomain(antidomain(esk2_0)))),antidomain(esk3_0))=multiplication(antidomain(multiplication(esk1_0,antidomain(antidomain(esk2_0)))),addition(antidomain(esk3_0),one))),inference(spm,[status(thm)],[2576,491854,theory(equality)])).
% cnf(492083,negated_conjecture,(addition(antidomain(multiplication(esk1_0,antidomain(antidomain(esk2_0)))),antidomain(esk3_0))=antidomain(multiplication(esk1_0,antidomain(antidomain(esk2_0))))),inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[491920,31,theory(equality)]),317,theory(equality)]),79,theory(equality)])).
% cnf(493458,negated_conjecture,(addition(antidomain(esk3_0),antidomain(multiplication(esk1_0,antidomain(antidomain(esk2_0)))))=antidomain(multiplication(esk1_0,antidomain(antidomain(esk2_0))))),inference(rw,[status(thm)],[492083,31,theory(equality)])).
% cnf(493692,negated_conjecture,(addition(antidomain(antidomain(esk3_0)),coantidomain(antidomain(multiplication(esk1_0,antidomain(antidomain(esk2_0))))))=antidomain(antidomain(esk3_0))),inference(spm,[status(thm)],[348454,493458,theory(equality)])).
% cnf(493927,negated_conjecture,(addition(antidomain(antidomain(esk3_0)),antidomain(antidomain(multiplication(esk1_0,antidomain(antidomain(esk2_0))))))=antidomain(antidomain(esk3_0))),inference(rw,[status(thm)],[493692,20479,theory(equality)])).
% cnf(493928,negated_conjecture,($false),inference(sr,[status(thm)],[493927,1073,theory(equality)])).
% cnf(493929,negated_conjecture,($false),493928,['proof']).
% # SZS output end CNFRefutation
% # Processed clauses : 5352
% # ...of these trivial : 2781
% # ...subsumed : 1587
% # ...remaining for further processing: 984
% # Other redundant clauses eliminated : 0
% # Clauses deleted for lack of memory : 0
% # Backward-subsumed : 0
% # Backward-rewritten : 164
% # Generated clauses : 243652
% # ...of the previous two non-trivial : 102131
% # Contextual simplify-reflections : 0
% # Paramodulations : 243652
% # Factorizations : 0
% # Equation resolutions : 0
% # Current number of processed clauses: 799
% # Positive orientable unit clauses: 786
% # Positive unorientable unit clauses: 10
% # Negative unit clauses : 1
% # Non-unit-clauses : 2
% # Current number of unprocessed clauses: 88085
% # ...number of literals in the above : 88085
% # Clause-clause subsumption calls (NU) : 0
% # Rec. Clause-clause subsumption calls : 0
% # Unit Clause-clause subsumption calls : 38
% # Rewrite failures with RHS unbound : 0
% # Indexed BW rewrite attempts : 6077
% # Indexed BW rewrite successes : 218
% # Backwards rewriting index: 592 leaves, 2.96+/-4.190 terms/leaf
% # Paramod-from index: 320 leaves, 2.51+/-3.110 terms/leaf
% # Paramod-into index: 565 leaves, 2.92+/-4.132 terms/leaf
% # -------------------------------------------------
% # User time : 5.954 s
% # System time : 0.287 s
% # Total time : 6.241 s
% # Maximum resident set size: 0 pages
% PrfWatch: 13.11 CPU 13.30 WC
% FINAL PrfWatch: 13.11 CPU 13.30 WC
% SZS output end Solution for /tmp/SystemOnTPTP23500/KLE106+1.tptp
%
%------------------------------------------------------------------------------