TSTP Solution File: KLE107+1 by SRASS---0.1
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- Process Solution
%------------------------------------------------------------------------------
% File : SRASS---0.1
% Problem : KLE107+1 : TPTP v5.0.0. Released v4.0.0.
% Transfm : none
% Format : tptp
% Command : SRASS -q2 -a 0 10 10 10 -i3 -n60 %s
% Computer : art03.cs.miami.edu
% Model : i686 i686
% CPU : Intel(R) Pentium(R) 4 CPU 2.80GHz @ 2793MHz
% Memory : 2018MB
% OS : Linux 2.6.26.8-57.fc8
% CPULimit : 300s
% DateTime : Wed Dec 29 07:58:35 EST 2010
% Result : Theorem 27.15s
% Output : Solution 27.15s
% 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/SystemOnTPTP18379/KLE107+1.tptp
% Adding relevance values
% Extracting the conjecture
% Sorting axioms by relevance
% Looking for THM ...
% found
% SZS status THM for /tmp/SystemOnTPTP18379/KLE107+1.tptp
% SZS output start Solution for /tmp/SystemOnTPTP18379/KLE107+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 18475
% TreeLimitedRun: ----------------------------------------------------------
% PrfWatch: 0.00 CPU 0.01 WC
% PrfWatch: 1.94 CPU 2.02 WC
% PrfWatch: 3.92 CPU 4.02 WC
% PrfWatch: 5.91 CPU 6.03 WC
% PrfWatch: 7.90 CPU 8.04 WC
% PrfWatch: 9.88 CPU 10.04 WC
% PrfWatch: 11.87 CPU 12.05 WC
% # Preprocessing time : 0.011 s
% # Problem is unsatisfiable (or provable), constructing proof object
% # SZS status Theorem
% PrfWatch: 13.85 CPU 14.05 WC
% PrfWatch: 15.85 CPU 16.06 WC
% PrfWatch: 17.84 CPU 18.06 WC
% PrfWatch: 19.83 CPU 20.06 WC
% PrfWatch: 21.51 CPU 22.07 WC
% PrfWatch: 23.12 CPU 24.08 WC
% PrfWatch: 25.11 CPU 26.08 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(9, axiom,![X4]:![X5]:backward_diamond(X4,X5)=codomain(multiplication(codomain(X5),X4)),file('/tmp/SRASS.s.p', backward_diamond)).
% fof(11, axiom,![X4]:![X5]:forward_diamond(X4,X5)=domain(multiplication(X4,domain(X5))),file('/tmp/SRASS.s.p', forward_diamond)).
% fof(12, axiom,![X4]:![X5]:forward_box(X4,X5)=c(forward_diamond(X4,c(X5))),file('/tmp/SRASS.s.p', forward_box)).
% fof(14, axiom,![X1]:multiplication(X1,zero)=zero,file('/tmp/SRASS.s.p', right_annihilation)).
% fof(15, axiom,![X1]:multiplication(zero,X1)=zero,file('/tmp/SRASS.s.p', left_annihilation)).
% fof(16, axiom,![X4]:c(X4)=antidomain(domain(X4)),file('/tmp/SRASS.s.p', complement)).
% fof(17, 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(18, 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(20, axiom,![X4]:codomain(X4)=coantidomain(coantidomain(X4)),file('/tmp/SRASS.s.p', codomain4)).
% fof(21, axiom,![X4]:multiplication(X4,coantidomain(X4))=zero,file('/tmp/SRASS.s.p', codomain1)).
% fof(22, axiom,![X4]:addition(coantidomain(coantidomain(X4)),coantidomain(X4))=one,file('/tmp/SRASS.s.p', codomain3)).
% fof(23, axiom,![X4]:multiplication(antidomain(X4),X4)=zero,file('/tmp/SRASS.s.p', domain1)).
% fof(24, axiom,![X4]:addition(antidomain(antidomain(X4)),antidomain(X4))=one,file('/tmp/SRASS.s.p', domain3)).
% fof(25, axiom,![X1]:multiplication(X1,one)=X1,file('/tmp/SRASS.s.p', multiplicative_right_identity)).
% fof(26, axiom,![X1]:multiplication(one,X1)=X1,file('/tmp/SRASS.s.p', multiplicative_left_identity)).
% fof(27, conjecture,![X4]:![X5]:![X6]:(addition(backward_diamond(X4,domain(X5)),domain(X6))=domain(X6)=>addition(domain(X5),forward_box(X4,domain(X6)))=forward_box(X4,domain(X6))),file('/tmp/SRASS.s.p', goals)).
% fof(28, negated_conjecture,~(![X4]:![X5]:![X6]:(addition(backward_diamond(X4,domain(X5)),domain(X6))=domain(X6)=>addition(domain(X5),forward_box(X4,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(45, plain,![X6]:![X7]:backward_diamond(X6,X7)=codomain(multiplication(codomain(X7),X6)),inference(variable_rename,[status(thm)],[9])).
% cnf(46,plain,(backward_diamond(X1,X2)=codomain(multiplication(codomain(X2),X1))),inference(split_conjunct,[status(thm)],[45])).
% fof(51, plain,![X6]:![X7]:forward_diamond(X6,X7)=domain(multiplication(X6,domain(X7))),inference(variable_rename,[status(thm)],[11])).
% cnf(52,plain,(forward_diamond(X1,X2)=domain(multiplication(X1,domain(X2)))),inference(split_conjunct,[status(thm)],[51])).
% fof(53, plain,![X6]:![X7]:forward_box(X6,X7)=c(forward_diamond(X6,c(X7))),inference(variable_rename,[status(thm)],[12])).
% cnf(54,plain,(forward_box(X1,X2)=c(forward_diamond(X1,c(X2)))),inference(split_conjunct,[status(thm)],[53])).
% fof(57, plain,![X2]:multiplication(X2,zero)=zero,inference(variable_rename,[status(thm)],[14])).
% cnf(58,plain,(multiplication(X1,zero)=zero),inference(split_conjunct,[status(thm)],[57])).
% fof(59, plain,![X2]:multiplication(zero,X2)=zero,inference(variable_rename,[status(thm)],[15])).
% cnf(60,plain,(multiplication(zero,X1)=zero),inference(split_conjunct,[status(thm)],[59])).
% fof(61, plain,![X5]:c(X5)=antidomain(domain(X5)),inference(variable_rename,[status(thm)],[16])).
% cnf(62,plain,(c(X1)=antidomain(domain(X1))),inference(split_conjunct,[status(thm)],[61])).
% 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)],[17])).
% 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(65, 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)],[18])).
% cnf(66,plain,(addition(coantidomain(multiplication(X1,X2)),coantidomain(multiplication(coantidomain(coantidomain(X1)),X2)))=coantidomain(multiplication(coantidomain(coantidomain(X1)),X2))),inference(split_conjunct,[status(thm)],[65])).
% fof(69, plain,![X5]:codomain(X5)=coantidomain(coantidomain(X5)),inference(variable_rename,[status(thm)],[20])).
% cnf(70,plain,(codomain(X1)=coantidomain(coantidomain(X1))),inference(split_conjunct,[status(thm)],[69])).
% fof(71, plain,![X5]:multiplication(X5,coantidomain(X5))=zero,inference(variable_rename,[status(thm)],[21])).
% cnf(72,plain,(multiplication(X1,coantidomain(X1))=zero),inference(split_conjunct,[status(thm)],[71])).
% fof(73, plain,![X5]:addition(coantidomain(coantidomain(X5)),coantidomain(X5))=one,inference(variable_rename,[status(thm)],[22])).
% cnf(74,plain,(addition(coantidomain(coantidomain(X1)),coantidomain(X1))=one),inference(split_conjunct,[status(thm)],[73])).
% fof(75, plain,![X5]:multiplication(antidomain(X5),X5)=zero,inference(variable_rename,[status(thm)],[23])).
% cnf(76,plain,(multiplication(antidomain(X1),X1)=zero),inference(split_conjunct,[status(thm)],[75])).
% fof(77, plain,![X5]:addition(antidomain(antidomain(X5)),antidomain(X5))=one,inference(variable_rename,[status(thm)],[24])).
% cnf(78,plain,(addition(antidomain(antidomain(X1)),antidomain(X1))=one),inference(split_conjunct,[status(thm)],[77])).
% fof(79, plain,![X2]:multiplication(X2,one)=X2,inference(variable_rename,[status(thm)],[25])).
% cnf(80,plain,(multiplication(X1,one)=X1),inference(split_conjunct,[status(thm)],[79])).
% fof(81, plain,![X2]:multiplication(one,X2)=X2,inference(variable_rename,[status(thm)],[26])).
% cnf(82,plain,(multiplication(one,X1)=X1),inference(split_conjunct,[status(thm)],[81])).
% fof(83, negated_conjecture,?[X4]:?[X5]:?[X6]:(addition(backward_diamond(X4,domain(X5)),domain(X6))=domain(X6)&~(addition(domain(X5),forward_box(X4,domain(X6)))=forward_box(X4,domain(X6)))),inference(fof_nnf,[status(thm)],[28])).
% fof(84, negated_conjecture,?[X7]:?[X8]:?[X9]:(addition(backward_diamond(X7,domain(X8)),domain(X9))=domain(X9)&~(addition(domain(X8),forward_box(X7,domain(X9)))=forward_box(X7,domain(X9)))),inference(variable_rename,[status(thm)],[83])).
% fof(85, negated_conjecture,(addition(backward_diamond(esk1_0,domain(esk2_0)),domain(esk3_0))=domain(esk3_0)&~(addition(domain(esk2_0),forward_box(esk1_0,domain(esk3_0)))=forward_box(esk1_0,domain(esk3_0)))),inference(skolemize,[status(esa)],[84])).
% cnf(86,negated_conjecture,(addition(domain(esk2_0),forward_box(esk1_0,domain(esk3_0)))!=forward_box(esk1_0,domain(esk3_0))),inference(split_conjunct,[status(thm)],[85])).
% cnf(87,negated_conjecture,(addition(backward_diamond(esk1_0,domain(esk2_0)),domain(esk3_0))=domain(esk3_0)),inference(split_conjunct,[status(thm)],[85])).
% cnf(89,plain,(antidomain(domain(forward_diamond(X1,antidomain(domain(X2)))))=forward_box(X1,X2)),inference(rw,[status(thm)],[inference(rw,[status(thm)],[54,62,theory(equality)]),62,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)],[52,40,theory(equality)]),40,theory(equality)]),['unfolding']).
% cnf(92,plain,(antidomain(antidomain(antidomain(forward_diamond(X1,antidomain(antidomain(antidomain(X2)))))))=forward_box(X1,X2)),inference(rw,[status(thm)],[inference(rw,[status(thm)],[89,40,theory(equality)]),40,theory(equality)]),['unfolding']).
% cnf(94,negated_conjecture,(addition(backward_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)],[87,40,theory(equality)]),40,theory(equality)]),40,theory(equality)]),['unfolding']).
% cnf(95,negated_conjecture,(addition(antidomain(antidomain(esk2_0)),forward_box(esk1_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,(coantidomain(coantidomain(multiplication(coantidomain(coantidomain(X2)),X1)))=backward_diamond(X1,X2)),inference(rw,[status(thm)],[inference(rw,[status(thm)],[46,70,theory(equality)]),70,theory(equality)]),['unfolding']).
% cnf(97,plain,(antidomain(antidomain(antidomain(antidomain(antidomain(multiplication(X1,antidomain(antidomain(antidomain(antidomain(antidomain(X2)))))))))))=forward_box(X1,X2)),inference(rw,[status(thm)],[92,90,theory(equality)]),['unfolding']).
% cnf(98,negated_conjecture,(addition(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(antidomain(antidomain(esk3_0)))))))))))))),inference(rw,[status(thm)],[inference(rw,[status(thm)],[95,97,theory(equality)]),97,theory(equality)]),['unfolding']).
% cnf(99,negated_conjecture,(addition(coantidomain(coantidomain(multiplication(coantidomain(coantidomain(antidomain(antidomain(esk2_0)))),esk1_0))),antidomain(antidomain(esk3_0)))=antidomain(antidomain(esk3_0))),inference(rw,[status(thm)],[94,96,theory(equality)]),['unfolding']).
% cnf(100,plain,(addition(antidomain(X1),antidomain(antidomain(X1)))=one),inference(rw,[status(thm)],[78,30,theory(equality)])).
% cnf(101,plain,(addition(coantidomain(X1),coantidomain(coantidomain(X1)))=one),inference(rw,[status(thm)],[74,30,theory(equality)])).
% cnf(102,negated_conjecture,(addition(antidomain(antidomain(esk3_0)),coantidomain(coantidomain(multiplication(coantidomain(coantidomain(antidomain(antidomain(esk2_0)))),esk1_0))))=antidomain(antidomain(esk3_0))),inference(rw,[status(thm)],[99,30,theory(equality)])).
% cnf(103,plain,(zero=coantidomain(one)),inference(spm,[status(thm)],[82,72,theory(equality)])).
% cnf(104,plain,(zero=antidomain(one)),inference(spm,[status(thm)],[80,76,theory(equality)])).
% cnf(105,plain,(addition(zero,X1)=X1),inference(spm,[status(thm)],[44,30,theory(equality)])).
% cnf(117,plain,(addition(one,X2)=addition(antidomain(X1),addition(antidomain(antidomain(X1)),X2))),inference(spm,[status(thm)],[32,100,theory(equality)])).
% cnf(119,plain,(addition(X1,X2)=addition(X1,addition(X1,X2))),inference(spm,[status(thm)],[32,34,theory(equality)])).
% cnf(128,plain,(multiplication(X1,multiplication(X2,coantidomain(multiplication(X1,X2))))=zero),inference(spm,[status(thm)],[72,42,theory(equality)])).
% cnf(133,plain,(multiplication(zero,X2)=multiplication(antidomain(X1),multiplication(X1,X2))),inference(spm,[status(thm)],[42,76,theory(equality)])).
% cnf(144,plain,(zero=multiplication(antidomain(X1),multiplication(X1,X2))),inference(rw,[status(thm)],[133,60,theory(equality)])).
% cnf(155,plain,(addition(multiplication(antidomain(X1),X2),zero)=multiplication(antidomain(X1),addition(X2,X1))),inference(spm,[status(thm)],[36,76,theory(equality)])).
% cnf(157,plain,(addition(multiplication(X1,X2),X1)=multiplication(X1,addition(X2,one))),inference(spm,[status(thm)],[36,80,theory(equality)])).
% cnf(158,plain,(addition(multiplication(X1,X2),zero)=multiplication(X1,addition(X2,coantidomain(X1)))),inference(spm,[status(thm)],[36,72,theory(equality)])).
% cnf(174,plain,(multiplication(antidomain(X1),X2)=multiplication(antidomain(X1),addition(X2,X1))),inference(rw,[status(thm)],[155,44,theory(equality)])).
% cnf(177,plain,(multiplication(X1,X2)=multiplication(X1,addition(X2,coantidomain(X1)))),inference(rw,[status(thm)],[158,44,theory(equality)])).
% cnf(191,plain,(addition(multiplication(X1,X2),X2)=multiplication(addition(X1,one),X2)),inference(spm,[status(thm)],[38,82,theory(equality)])).
% cnf(193,plain,(addition(multiplication(X1,X2),zero)=multiplication(addition(X1,antidomain(X2)),X2)),inference(spm,[status(thm)],[38,76,theory(equality)])).
% cnf(196,plain,(addition(multiplication(X1,coantidomain(X2)),zero)=multiplication(addition(X1,X2),coantidomain(X2))),inference(spm,[status(thm)],[38,72,theory(equality)])).
% cnf(212,plain,(multiplication(X1,X2)=multiplication(addition(X1,antidomain(X2)),X2)),inference(rw,[status(thm)],[193,44,theory(equality)])).
% cnf(215,plain,(multiplication(X1,coantidomain(X2))=multiplication(addition(X1,X2),coantidomain(X2))),inference(rw,[status(thm)],[196,44,theory(equality)])).
% cnf(244,plain,(addition(coantidomain(multiplication(X1,one)),coantidomain(coantidomain(coantidomain(X1))))=coantidomain(coantidomain(coantidomain(X1)))),inference(spm,[status(thm)],[66,80,theory(equality)])).
% cnf(254,plain,(addition(coantidomain(X1),coantidomain(coantidomain(coantidomain(X1))))=coantidomain(coantidomain(coantidomain(X1)))),inference(rw,[status(thm)],[244,80,theory(equality)])).
% cnf(263,plain,(addition(zero,coantidomain(zero))=one),inference(spm,[status(thm)],[101,103,theory(equality)])).
% cnf(268,plain,(addition(zero,antidomain(zero))=one),inference(spm,[status(thm)],[100,104,theory(equality)])).
% cnf(283,plain,(addition(coantidomain(X1),one)=one),inference(spm,[status(thm)],[119,101,theory(equality)])).
% cnf(287,plain,(addition(antidomain(X1),one)=one),inference(spm,[status(thm)],[119,100,theory(equality)])).
% cnf(293,plain,(addition(X1,addition(X2,X1))=addition(X2,X1)),inference(spm,[status(thm)],[119,30,theory(equality)])).
% cnf(309,plain,(addition(one,coantidomain(X1))=one),inference(rw,[status(thm)],[283,30,theory(equality)])).
% cnf(315,plain,(addition(one,antidomain(X1))=one),inference(rw,[status(thm)],[287,30,theory(equality)])).
% cnf(362,plain,(addition(antidomain(zero),antidomain(multiplication(antidomain(X1),antidomain(antidomain(multiplication(X1,X2))))))=antidomain(multiplication(antidomain(X1),antidomain(antidomain(multiplication(X1,X2)))))),inference(spm,[status(thm)],[64,144,theory(equality)])).
% cnf(370,plain,(multiplication(antidomain(multiplication(X1,X2)),multiplication(X1,multiplication(X2,X3)))=zero),inference(spm,[status(thm)],[144,42,theory(equality)])).
% cnf(420,plain,(coantidomain(zero)=one),inference(rw,[status(thm)],[263,105,theory(equality)])).
% cnf(432,plain,(antidomain(zero)=one),inference(rw,[status(thm)],[268,105,theory(equality)])).
% cnf(450,plain,(addition(zero,multiplication(X1,X3))=multiplication(X1,addition(multiplication(X2,coantidomain(multiplication(X1,X2))),X3))),inference(spm,[status(thm)],[36,128,theory(equality)])).
% cnf(477,plain,(multiplication(X1,X3)=multiplication(X1,addition(multiplication(X2,coantidomain(multiplication(X1,X2))),X3))),inference(rw,[status(thm)],[450,105,theory(equality)])).
% cnf(517,plain,(multiplication(X1,addition(coantidomain(X1),X2))=multiplication(X1,X2)),inference(spm,[status(thm)],[177,30,theory(equality)])).
% cnf(575,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)],[212,64,theory(equality)])).
% cnf(576,plain,(multiplication(one,antidomain(X1))=multiplication(antidomain(X1),antidomain(X1))),inference(spm,[status(thm)],[212,100,theory(equality)])).
% cnf(578,plain,(multiplication(addition(antidomain(X2),X1),X2)=multiplication(X1,X2)),inference(spm,[status(thm)],[212,30,theory(equality)])).
% cnf(593,plain,(zero=multiplication(antidomain(multiplication(X1,X2)),multiplication(X1,antidomain(antidomain(X2))))),inference(rw,[status(thm)],[575,76,theory(equality)])).
% cnf(594,plain,(antidomain(X1)=multiplication(antidomain(X1),antidomain(X1))),inference(rw,[status(thm)],[576,82,theory(equality)])).
% cnf(595,plain,(multiplication(antidomain(X1),X2)=multiplication(antidomain(X1),multiplication(antidomain(X1),X2))),inference(spm,[status(thm)],[42,594,theory(equality)])).
% cnf(634,plain,(multiplication(X1,one)=multiplication(X1,coantidomain(coantidomain(X1)))),inference(spm,[status(thm)],[517,101,theory(equality)])).
% cnf(653,plain,(X1=multiplication(X1,coantidomain(coantidomain(X1)))),inference(rw,[status(thm)],[634,80,theory(equality)])).
% cnf(658,plain,(multiplication(X1,X2)=multiplication(X1,multiplication(coantidomain(coantidomain(X1)),X2))),inference(spm,[status(thm)],[42,653,theory(equality)])).
% cnf(694,negated_conjecture,(multiplication(antidomain(antidomain(esk3_0)),antidomain(esk3_0))=multiplication(coantidomain(coantidomain(multiplication(coantidomain(coantidomain(antidomain(antidomain(esk2_0)))),esk1_0))),antidomain(esk3_0))),inference(spm,[status(thm)],[578,102,theory(equality)])).
% cnf(695,plain,(multiplication(one,X1)=multiplication(antidomain(antidomain(X1)),X1)),inference(spm,[status(thm)],[578,100,theory(equality)])).
% cnf(711,negated_conjecture,(zero=multiplication(coantidomain(coantidomain(multiplication(coantidomain(coantidomain(antidomain(antidomain(esk2_0)))),esk1_0))),antidomain(esk3_0))),inference(rw,[status(thm)],[694,76,theory(equality)])).
% cnf(712,plain,(X1=multiplication(antidomain(antidomain(X1)),X1)),inference(rw,[status(thm)],[695,82,theory(equality)])).
% cnf(715,plain,(multiplication(X1,X2)=multiplication(antidomain(antidomain(X1)),multiplication(X1,X2))),inference(spm,[status(thm)],[42,712,theory(equality)])).
% cnf(946,plain,(multiplication(coantidomain(coantidomain(X1)),coantidomain(coantidomain(coantidomain(X1))))=multiplication(coantidomain(coantidomain(X1)),coantidomain(X1))),inference(spm,[status(thm)],[177,254,theory(equality)])).
% cnf(953,plain,(zero=multiplication(coantidomain(coantidomain(X1)),coantidomain(X1))),inference(rw,[status(thm)],[946,72,theory(equality)])).
% cnf(965,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)],[64,953,theory(equality)])).
% cnf(980,plain,(one=antidomain(multiplication(coantidomain(coantidomain(X1)),antidomain(antidomain(coantidomain(X1)))))),inference(rw,[status(thm)],[inference(rw,[status(thm)],[965,432,theory(equality)]),315,theory(equality)])).
% cnf(1005,plain,(multiplication(antidomain(coantidomain(coantidomain(X1))),one)=multiplication(antidomain(coantidomain(coantidomain(X1))),coantidomain(X1))),inference(spm,[status(thm)],[174,101,theory(equality)])).
% cnf(1009,plain,(multiplication(antidomain(antidomain(antidomain(X1))),one)=multiplication(antidomain(antidomain(antidomain(X1))),antidomain(X1))),inference(spm,[status(thm)],[174,100,theory(equality)])).
% cnf(1016,plain,(multiplication(antidomain(addition(X1,X2)),addition(X1,X2))=multiplication(antidomain(addition(X1,X2)),X1)),inference(spm,[status(thm)],[174,119,theory(equality)])).
% cnf(1017,plain,(multiplication(antidomain(addition(X1,X2)),addition(X1,X2))=multiplication(antidomain(addition(X1,X2)),X2)),inference(spm,[status(thm)],[174,293,theory(equality)])).
% cnf(1018,plain,(multiplication(antidomain(X1),addition(X1,X2))=multiplication(antidomain(X1),X2)),inference(spm,[status(thm)],[174,30,theory(equality)])).
% cnf(1031,plain,(antidomain(coantidomain(coantidomain(X1)))=multiplication(antidomain(coantidomain(coantidomain(X1))),coantidomain(X1))),inference(rw,[status(thm)],[1005,80,theory(equality)])).
% cnf(1036,plain,(antidomain(antidomain(antidomain(X1)))=multiplication(antidomain(antidomain(antidomain(X1))),antidomain(X1))),inference(rw,[status(thm)],[1009,80,theory(equality)])).
% cnf(1037,plain,(antidomain(antidomain(antidomain(X1)))=antidomain(X1)),inference(rw,[status(thm)],[1036,712,theory(equality)])).
% cnf(1040,plain,(zero=multiplication(antidomain(addition(X1,X2)),X1)),inference(rw,[status(thm)],[1016,76,theory(equality)])).
% cnf(1041,plain,(zero=multiplication(antidomain(addition(X1,X2)),X2)),inference(rw,[status(thm)],[1017,76,theory(equality)])).
% cnf(1067,negated_conjecture,(addition(antidomain(antidomain(esk2_0)),antidomain(multiplication(esk1_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)],[98,1037,theory(equality)]),1037,theory(equality)]),1037,theory(equality)]),1037,theory(equality)]),1037,theory(equality)])).
% cnf(1068,negated_conjecture,(addition(antidomain(antidomain(esk2_0)),antidomain(multiplication(esk1_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)],[1067,1037,theory(equality)]),1037,theory(equality)]),1037,theory(equality)]),1037,theory(equality)]),1037,theory(equality)])).
% cnf(1087,plain,(addition(zero,multiplication(X3,X1))=multiplication(addition(antidomain(addition(X1,X2)),X3),X1)),inference(spm,[status(thm)],[38,1040,theory(equality)])).
% cnf(1088,plain,(addition(antidomain(zero),antidomain(multiplication(antidomain(addition(X1,X2)),antidomain(antidomain(X1)))))=antidomain(multiplication(antidomain(addition(X1,X2)),antidomain(antidomain(X1))))),inference(spm,[status(thm)],[64,1040,theory(equality)])).
% cnf(1105,plain,(multiplication(antidomain(multiplication(addition(X1,X3),X2)),multiplication(X1,X2))=zero),inference(spm,[status(thm)],[1040,38,theory(equality)])).
% cnf(1119,plain,(multiplication(X3,X1)=multiplication(addition(antidomain(addition(X1,X2)),X3),X1)),inference(rw,[status(thm)],[1087,105,theory(equality)])).
% cnf(1120,plain,(one=antidomain(multiplication(antidomain(addition(X1,X2)),antidomain(antidomain(X1))))),inference(rw,[status(thm)],[inference(rw,[status(thm)],[1088,432,theory(equality)]),315,theory(equality)])).
% cnf(1229,plain,(addition(multiplication(antidomain(addition(X1,X2)),X3),zero)=multiplication(antidomain(addition(X1,X2)),addition(X3,X2))),inference(spm,[status(thm)],[36,1041,theory(equality)])).
% cnf(1264,plain,(multiplication(antidomain(addition(X1,X2)),X3)=multiplication(antidomain(addition(X1,X2)),addition(X3,X2))),inference(rw,[status(thm)],[1229,44,theory(equality)])).
% cnf(1413,plain,(multiplication(antidomain(addition(antidomain(antidomain(X1)),X2)),addition(one,X2))=multiplication(antidomain(addition(antidomain(antidomain(X1)),X2)),antidomain(X1))),inference(spm,[status(thm)],[174,117,theory(equality)])).
% cnf(1495,plain,(multiplication(one,coantidomain(coantidomain(coantidomain(X1))))=multiplication(coantidomain(X1),coantidomain(coantidomain(coantidomain(X1))))),inference(spm,[status(thm)],[215,101,theory(equality)])).
% cnf(1506,plain,(multiplication(addition(X1,X2),coantidomain(addition(X1,X2)))=multiplication(X1,coantidomain(addition(X1,X2)))),inference(spm,[status(thm)],[215,119,theory(equality)])).
% cnf(1508,plain,(multiplication(addition(X2,X1),coantidomain(X2))=multiplication(X1,coantidomain(X2))),inference(spm,[status(thm)],[215,30,theory(equality)])).
% cnf(1522,plain,(coantidomain(coantidomain(coantidomain(X1)))=multiplication(coantidomain(X1),coantidomain(coantidomain(coantidomain(X1))))),inference(rw,[status(thm)],[1495,82,theory(equality)])).
% cnf(1523,plain,(coantidomain(coantidomain(coantidomain(X1)))=coantidomain(X1)),inference(rw,[status(thm)],[1522,653,theory(equality)])).
% cnf(1533,plain,(zero=multiplication(X1,coantidomain(addition(X1,X2)))),inference(rw,[status(thm)],[1506,72,theory(equality)])).
% cnf(1576,plain,(addition(zero,multiplication(X1,X3))=multiplication(X1,addition(coantidomain(addition(X1,X2)),X3))),inference(spm,[status(thm)],[36,1533,theory(equality)])).
% cnf(1609,plain,(multiplication(X1,X3)=multiplication(X1,addition(coantidomain(addition(X1,X2)),X3))),inference(rw,[status(thm)],[1576,105,theory(equality)])).
% cnf(1948,plain,(multiplication(antidomain(coantidomain(X1)),one)=multiplication(antidomain(coantidomain(X1)),coantidomain(coantidomain(X1)))),inference(spm,[status(thm)],[1018,101,theory(equality)])).
% cnf(1982,plain,(antidomain(coantidomain(X1))=multiplication(antidomain(coantidomain(X1)),coantidomain(coantidomain(X1)))),inference(rw,[status(thm)],[1948,80,theory(equality)])).
% cnf(2024,plain,(multiplication(one,coantidomain(antidomain(X1)))=multiplication(antidomain(antidomain(X1)),coantidomain(antidomain(X1)))),inference(spm,[status(thm)],[1508,100,theory(equality)])).
% cnf(2059,plain,(coantidomain(antidomain(X1))=multiplication(antidomain(antidomain(X1)),coantidomain(antidomain(X1)))),inference(rw,[status(thm)],[2024,82,theory(equality)])).
% cnf(2487,plain,(addition(X1,multiplication(X1,X2))=multiplication(X1,addition(X2,one))),inference(rw,[status(thm)],[157,30,theory(equality)])).
% cnf(2697,plain,(addition(X2,multiplication(X1,X2))=multiplication(addition(X1,one),X2)),inference(rw,[status(thm)],[191,30,theory(equality)])).
% cnf(2757,plain,(addition(addition(X1,coantidomain(X2)),multiplication(X2,X1))=multiplication(addition(X2,one),addition(X1,coantidomain(X2)))),inference(spm,[status(thm)],[2697,177,theory(equality)])).
% cnf(2819,plain,(addition(X1,addition(coantidomain(X2),multiplication(X2,X1)))=multiplication(addition(X2,one),addition(X1,coantidomain(X2)))),inference(rw,[status(thm)],[2757,32,theory(equality)])).
% cnf(4941,plain,(multiplication(one,multiplication(coantidomain(coantidomain(X1)),antidomain(antidomain(coantidomain(X1)))))=zero),inference(spm,[status(thm)],[76,980,theory(equality)])).
% cnf(4980,plain,(multiplication(coantidomain(coantidomain(X1)),antidomain(antidomain(coantidomain(X1))))=zero),inference(rw,[status(thm)],[4941,82,theory(equality)])).
% cnf(5042,plain,(multiplication(X1,zero)=multiplication(X1,antidomain(antidomain(coantidomain(X1))))),inference(spm,[status(thm)],[658,4980,theory(equality)])).
% cnf(5084,plain,(zero=multiplication(X1,antidomain(antidomain(coantidomain(X1))))),inference(rw,[status(thm)],[5042,58,theory(equality)])).
% cnf(5109,plain,(addition(zero,multiplication(X1,X2))=multiplication(X1,addition(antidomain(antidomain(coantidomain(X1))),X2))),inference(spm,[status(thm)],[36,5084,theory(equality)])).
% cnf(5143,plain,(multiplication(X1,X2)=multiplication(X1,addition(antidomain(antidomain(coantidomain(X1))),X2))),inference(rw,[status(thm)],[5109,105,theory(equality)])).
% cnf(7953,plain,(multiplication(one,X1)=multiplication(antidomain(antidomain(addition(X1,X2))),X1)),inference(spm,[status(thm)],[1119,100,theory(equality)])).
% cnf(8012,plain,(X1=multiplication(antidomain(antidomain(addition(X1,X2))),X1)),inference(rw,[status(thm)],[7953,82,theory(equality)])).
% cnf(8066,plain,(multiplication(antidomain(antidomain(addition(X2,X1))),X1)=X1),inference(spm,[status(thm)],[8012,293,theory(equality)])).
% cnf(9554,plain,(multiplication(X1,one)=multiplication(X1,coantidomain(coantidomain(addition(X1,X2))))),inference(spm,[status(thm)],[1609,101,theory(equality)])).
% cnf(9633,plain,(X1=multiplication(X1,coantidomain(coantidomain(addition(X1,X2))))),inference(rw,[status(thm)],[9554,80,theory(equality)])).
% cnf(10764,negated_conjecture,(multiplication(multiplication(coantidomain(coantidomain(antidomain(antidomain(esk2_0)))),esk1_0),zero)=multiplication(multiplication(coantidomain(coantidomain(antidomain(antidomain(esk2_0)))),esk1_0),antidomain(esk3_0))),inference(spm,[status(thm)],[658,711,theory(equality)])).
% cnf(10796,negated_conjecture,(zero=multiplication(multiplication(coantidomain(coantidomain(antidomain(antidomain(esk2_0)))),esk1_0),antidomain(esk3_0))),inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[10764,42,theory(equality)]),58,theory(equality)]),58,theory(equality)])).
% cnf(10797,negated_conjecture,(zero=multiplication(coantidomain(coantidomain(antidomain(antidomain(esk2_0)))),multiplication(esk1_0,antidomain(esk3_0)))),inference(rw,[status(thm)],[10796,42,theory(equality)])).
% cnf(10828,negated_conjecture,(multiplication(antidomain(antidomain(esk2_0)),zero)=multiplication(antidomain(antidomain(esk2_0)),multiplication(esk1_0,antidomain(esk3_0)))),inference(spm,[status(thm)],[658,10797,theory(equality)])).
% cnf(10862,negated_conjecture,(zero=multiplication(antidomain(antidomain(esk2_0)),multiplication(esk1_0,antidomain(esk3_0)))),inference(rw,[status(thm)],[10828,58,theory(equality)])).
% cnf(11235,negated_conjecture,(addition(antidomain(zero),antidomain(multiplication(antidomain(antidomain(esk2_0)),antidomain(antidomain(multiplication(esk1_0,antidomain(esk3_0)))))))=antidomain(multiplication(antidomain(antidomain(esk2_0)),antidomain(antidomain(multiplication(esk1_0,antidomain(esk3_0))))))),inference(spm,[status(thm)],[64,10862,theory(equality)])).
% cnf(11263,negated_conjecture,(one=antidomain(multiplication(antidomain(antidomain(esk2_0)),antidomain(antidomain(multiplication(esk1_0,antidomain(esk3_0))))))),inference(rw,[status(thm)],[inference(rw,[status(thm)],[11235,432,theory(equality)]),315,theory(equality)])).
% cnf(12004,negated_conjecture,(multiplication(one,multiplication(antidomain(antidomain(esk2_0)),antidomain(antidomain(multiplication(esk1_0,antidomain(esk3_0))))))=zero),inference(spm,[status(thm)],[76,11263,theory(equality)])).
% cnf(12034,negated_conjecture,(multiplication(antidomain(antidomain(esk2_0)),antidomain(antidomain(multiplication(esk1_0,antidomain(esk3_0)))))=zero),inference(rw,[status(thm)],[12004,82,theory(equality)])).
% cnf(12362,plain,(multiplication(one,multiplication(antidomain(addition(X1,X2)),antidomain(antidomain(X1))))=zero),inference(spm,[status(thm)],[76,1120,theory(equality)])).
% cnf(12448,plain,(multiplication(antidomain(addition(X1,X2)),antidomain(antidomain(X1)))=zero),inference(rw,[status(thm)],[12362,82,theory(equality)])).
% cnf(13085,plain,(multiplication(antidomain(addition(X2,X1)),antidomain(antidomain(X1)))=zero),inference(spm,[status(thm)],[12448,293,theory(equality)])).
% cnf(13386,plain,(multiplication(X1,one)=multiplication(X1,antidomain(antidomain(antidomain(coantidomain(X1)))))),inference(spm,[status(thm)],[5143,100,theory(equality)])).
% cnf(13445,plain,(X1=multiplication(X1,antidomain(antidomain(antidomain(coantidomain(X1)))))),inference(rw,[status(thm)],[13386,80,theory(equality)])).
% cnf(13446,plain,(X1=multiplication(X1,antidomain(coantidomain(X1)))),inference(rw,[status(thm)],[13445,1037,theory(equality)])).
% cnf(13464,plain,(multiplication(X1,X2)=multiplication(X1,multiplication(antidomain(coantidomain(X1)),X2))),inference(spm,[status(thm)],[42,13446,theory(equality)])).
% cnf(13489,plain,(multiplication(coantidomain(coantidomain(X1)),antidomain(coantidomain(X1)))=coantidomain(coantidomain(X1))),inference(spm,[status(thm)],[13446,1523,theory(equality)])).
% cnf(14038,plain,(addition(antidomain(coantidomain(X1)),coantidomain(coantidomain(X1)))=multiplication(addition(coantidomain(coantidomain(X1)),one),antidomain(coantidomain(X1)))),inference(spm,[status(thm)],[2697,13489,theory(equality)])).
% cnf(14082,plain,(addition(antidomain(coantidomain(X1)),coantidomain(coantidomain(X1)))=antidomain(coantidomain(X1))),inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[14038,30,theory(equality)]),309,theory(equality)]),82,theory(equality)])).
% cnf(14142,plain,(multiplication(antidomain(antidomain(antidomain(coantidomain(X1)))),coantidomain(coantidomain(X1)))=coantidomain(coantidomain(X1))),inference(spm,[status(thm)],[8066,14082,theory(equality)])).
% cnf(14202,plain,(antidomain(coantidomain(X1))=coantidomain(coantidomain(X1))),inference(rw,[status(thm)],[inference(rw,[status(thm)],[14142,1037,theory(equality)]),1982,theory(equality)])).
% cnf(14292,plain,(coantidomain(X1)=antidomain(coantidomain(coantidomain(X1)))),inference(rw,[status(thm)],[inference(rw,[status(thm)],[1031,14202,theory(equality)]),712,theory(equality)])).
% cnf(14293,plain,(coantidomain(X1)=antidomain(antidomain(coantidomain(X1)))),inference(rw,[status(thm)],[14292,14202,theory(equality)])).
% cnf(14298,plain,(addition(coantidomain(multiplication(X1,X2)),coantidomain(multiplication(antidomain(coantidomain(X1)),X2)))=coantidomain(multiplication(coantidomain(coantidomain(X1)),X2))),inference(rw,[status(thm)],[66,14202,theory(equality)])).
% cnf(14299,plain,(addition(coantidomain(multiplication(X1,X2)),coantidomain(multiplication(antidomain(coantidomain(X1)),X2)))=coantidomain(multiplication(antidomain(coantidomain(X1)),X2))),inference(rw,[status(thm)],[14298,14202,theory(equality)])).
% cnf(14306,plain,(multiplication(X1,antidomain(coantidomain(addition(X1,X2))))=X1),inference(rw,[status(thm)],[9633,14202,theory(equality)])).
% cnf(15913,plain,(addition(coantidomain(zero),coantidomain(multiplication(antidomain(coantidomain(antidomain(X1))),X1)))=coantidomain(multiplication(antidomain(coantidomain(antidomain(X1))),X1))),inference(spm,[status(thm)],[14299,76,theory(equality)])).
% cnf(16099,plain,(one=coantidomain(multiplication(antidomain(coantidomain(antidomain(X1))),X1))),inference(rw,[status(thm)],[inference(rw,[status(thm)],[15913,420,theory(equality)]),309,theory(equality)])).
% cnf(16129,plain,(multiplication(multiplication(antidomain(coantidomain(antidomain(X1))),X1),one)=zero),inference(spm,[status(thm)],[72,16099,theory(equality)])).
% cnf(16171,plain,(multiplication(antidomain(coantidomain(antidomain(X1))),X1)=zero),inference(rw,[status(thm)],[inference(rw,[status(thm)],[16129,42,theory(equality)]),80,theory(equality)])).
% cnf(16234,plain,(addition(zero,multiplication(X2,X1))=multiplication(addition(antidomain(coantidomain(antidomain(X1))),X2),X1)),inference(spm,[status(thm)],[38,16171,theory(equality)])).
% cnf(16287,plain,(multiplication(X2,X1)=multiplication(addition(antidomain(coantidomain(antidomain(X1))),X2),X1)),inference(rw,[status(thm)],[16234,105,theory(equality)])).
% cnf(18753,plain,(multiplication(one,X1)=multiplication(antidomain(antidomain(coantidomain(antidomain(X1)))),X1)),inference(spm,[status(thm)],[16287,100,theory(equality)])).
% cnf(18816,plain,(X1=multiplication(antidomain(antidomain(coantidomain(antidomain(X1)))),X1)),inference(rw,[status(thm)],[18753,82,theory(equality)])).
% cnf(18817,plain,(X1=multiplication(coantidomain(antidomain(X1)),X1)),inference(rw,[status(thm)],[18816,14293,theory(equality)])).
% cnf(18863,plain,(multiplication(coantidomain(antidomain(X1)),antidomain(antidomain(X1)))=antidomain(antidomain(X1))),inference(spm,[status(thm)],[18817,1037,theory(equality)])).
% cnf(19787,plain,(addition(coantidomain(antidomain(X1)),antidomain(antidomain(X1)))=multiplication(coantidomain(antidomain(X1)),addition(antidomain(antidomain(X1)),one))),inference(spm,[status(thm)],[2487,18863,theory(equality)])).
% cnf(19847,plain,(addition(coantidomain(antidomain(X1)),antidomain(antidomain(X1)))=coantidomain(antidomain(X1))),inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[19787,30,theory(equality)]),315,theory(equality)]),80,theory(equality)])).
% cnf(19911,plain,(addition(antidomain(antidomain(X1)),coantidomain(antidomain(X1)))=coantidomain(antidomain(X1))),inference(rw,[status(thm)],[19847,30,theory(equality)])).
% cnf(19927,plain,(multiplication(antidomain(antidomain(X1)),antidomain(coantidomain(coantidomain(antidomain(X1)))))=antidomain(antidomain(X1))),inference(spm,[status(thm)],[14306,19911,theory(equality)])).
% cnf(19998,plain,(coantidomain(antidomain(X1))=antidomain(antidomain(X1))),inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[19927,14202,theory(equality)]),14293,theory(equality)]),2059,theory(equality)])).
% cnf(23103,plain,(one=antidomain(multiplication(antidomain(X1),antidomain(antidomain(multiplication(X1,X2)))))),inference(rw,[status(thm)],[inference(rw,[status(thm)],[362,432,theory(equality)]),315,theory(equality)])).
% cnf(23104,plain,(multiplication(one,multiplication(antidomain(X1),antidomain(antidomain(multiplication(X1,X2)))))=zero),inference(spm,[status(thm)],[76,23103,theory(equality)])).
% cnf(23247,plain,(multiplication(antidomain(X1),antidomain(antidomain(multiplication(X1,X2))))=zero),inference(rw,[status(thm)],[23104,82,theory(equality)])).
% cnf(23414,plain,(multiplication(X1,zero)=multiplication(X1,antidomain(antidomain(multiplication(coantidomain(X1),X2))))),inference(spm,[status(thm)],[13464,23247,theory(equality)])).
% cnf(23568,plain,(zero=multiplication(X1,antidomain(antidomain(multiplication(coantidomain(X1),X2))))),inference(rw,[status(thm)],[23414,58,theory(equality)])).
% cnf(23675,plain,(addition(zero,multiplication(X1,X3))=multiplication(X1,addition(antidomain(antidomain(multiplication(coantidomain(X1),X2))),X3))),inference(spm,[status(thm)],[36,23568,theory(equality)])).
% cnf(23770,plain,(multiplication(X1,X3)=multiplication(X1,addition(antidomain(antidomain(multiplication(coantidomain(X1),X2))),X3))),inference(rw,[status(thm)],[23675,105,theory(equality)])).
% cnf(26643,plain,(multiplication(antidomain(multiplication(X1,antidomain(antidomain(X2)))),multiplication(X1,X2))=zero),inference(spm,[status(thm)],[370,712,theory(equality)])).
% cnf(46564,plain,(multiplication(antidomain(multiplication(one,X2)),multiplication(antidomain(X1),X2))=zero),inference(spm,[status(thm)],[1105,100,theory(equality)])).
% cnf(46848,plain,(multiplication(antidomain(X2),multiplication(antidomain(X1),X2))=zero),inference(rw,[status(thm)],[46564,82,theory(equality)])).
% cnf(47269,plain,(multiplication(antidomain(zero),multiplication(antidomain(X1),antidomain(antidomain(multiplication(antidomain(X2),X1)))))=zero),inference(spm,[status(thm)],[593,46848,theory(equality)])).
% cnf(47490,plain,(multiplication(antidomain(X1),antidomain(antidomain(multiplication(antidomain(X2),X1))))=zero),inference(rw,[status(thm)],[inference(rw,[status(thm)],[47269,432,theory(equality)]),82,theory(equality)])).
% cnf(157688,plain,(antidomain(addition(antidomain(antidomain(X1)),X2))=multiplication(antidomain(addition(antidomain(antidomain(X1)),X2)),antidomain(X1))),inference(rw,[status(thm)],[inference(rw,[status(thm)],[1413,1264,theory(equality)]),80,theory(equality)])).
% cnf(157804,plain,(antidomain(addition(antidomain(antidomain(antidomain(X1))),X1))=zero),inference(spm,[status(thm)],[13085,157688,theory(equality)])).
% cnf(157972,plain,(antidomain(addition(antidomain(X1),X1))=zero),inference(rw,[status(thm)],[157804,1037,theory(equality)])).
% cnf(158058,plain,(antidomain(addition(X1,antidomain(X1)))=zero),inference(rw,[status(thm)],[157972,30,theory(equality)])).
% cnf(158138,plain,(addition(antidomain(multiplication(X1,addition(X2,antidomain(X2)))),antidomain(multiplication(X1,antidomain(zero))))=antidomain(multiplication(X1,antidomain(zero)))),inference(spm,[status(thm)],[64,158058,theory(equality)])).
% cnf(158374,plain,(addition(antidomain(multiplication(X1,addition(X2,antidomain(X2)))),antidomain(X1))=antidomain(multiplication(X1,antidomain(zero)))),inference(rw,[status(thm)],[inference(rw,[status(thm)],[158138,432,theory(equality)]),80,theory(equality)])).
% cnf(158375,plain,(addition(antidomain(multiplication(X1,addition(X2,antidomain(X2)))),antidomain(X1))=antidomain(X1)),inference(rw,[status(thm)],[inference(rw,[status(thm)],[158374,432,theory(equality)]),80,theory(equality)])).
% cnf(202652,plain,(addition(antidomain(X1),antidomain(multiplication(X1,addition(X2,antidomain(X2)))))=antidomain(X1)),inference(rw,[status(thm)],[158375,30,theory(equality)])).
% cnf(544762,plain,(multiplication(X1,one)=multiplication(X1,antidomain(antidomain(antidomain(multiplication(coantidomain(X1),X2)))))),inference(spm,[status(thm)],[23770,100,theory(equality)])).
% cnf(545495,plain,(X1=multiplication(X1,antidomain(antidomain(antidomain(multiplication(coantidomain(X1),X2)))))),inference(rw,[status(thm)],[544762,80,theory(equality)])).
% cnf(545496,plain,(X1=multiplication(X1,antidomain(multiplication(coantidomain(X1),X2)))),inference(rw,[status(thm)],[545495,1037,theory(equality)])).
% cnf(545830,plain,(multiplication(antidomain(X1),antidomain(multiplication(antidomain(antidomain(X1)),X2)))=antidomain(X1)),inference(spm,[status(thm)],[545496,19998,theory(equality)])).
% cnf(552279,plain,(multiplication(antidomain(X1),antidomain(multiplication(X1,X2)))=antidomain(X1)),inference(spm,[status(thm)],[545830,715,theory(equality)])).
% cnf(553103,plain,(addition(antidomain(multiplication(X1,X2)),antidomain(X1))=multiplication(addition(antidomain(X1),one),antidomain(multiplication(X1,X2)))),inference(spm,[status(thm)],[2697,552279,theory(equality)])).
% cnf(553105,plain,(addition(antidomain(multiplication(X1,X2)),addition(coantidomain(antidomain(X1)),antidomain(X1)))=multiplication(addition(antidomain(X1),one),addition(antidomain(multiplication(X1,X2)),coantidomain(antidomain(X1))))),inference(spm,[status(thm)],[2819,552279,theory(equality)])).
% cnf(553922,plain,(addition(antidomain(multiplication(X1,X2)),antidomain(X1))=antidomain(multiplication(X1,X2))),inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[553103,30,theory(equality)]),315,theory(equality)]),82,theory(equality)])).
% cnf(553924,plain,(one=multiplication(addition(antidomain(X1),one),addition(antidomain(multiplication(X1,X2)),coantidomain(antidomain(X1))))),inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[553105,19998,theory(equality)]),30,theory(equality)]),100,theory(equality)]),30,theory(equality)]),315,theory(equality)])).
% cnf(553925,plain,(one=addition(antidomain(antidomain(X1)),antidomain(multiplication(X1,X2)))),inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[553924,30,theory(equality)]),315,theory(equality)]),19998,theory(equality)]),30,theory(equality)]),82,theory(equality)])).
% cnf(555151,plain,(addition(antidomain(antidomain(antidomain(X1))),antidomain(multiplication(antidomain(X1),X2)))=one),inference(spm,[status(thm)],[553925,595,theory(equality)])).
% cnf(556144,plain,(addition(antidomain(X1),antidomain(multiplication(antidomain(X1),X2)))=one),inference(rw,[status(thm)],[555151,1037,theory(equality)])).
% cnf(572058,plain,(multiplication(one,X1)=multiplication(antidomain(multiplication(antidomain(X1),X2)),X1)),inference(spm,[status(thm)],[578,556144,theory(equality)])).
% cnf(572982,plain,(X1=multiplication(antidomain(multiplication(antidomain(X1),X2)),X1)),inference(rw,[status(thm)],[572058,82,theory(equality)])).
% cnf(591964,plain,(addition(antidomain(X1),antidomain(multiplication(X1,X2)))=antidomain(multiplication(X1,X2))),inference(rw,[status(thm)],[553922,30,theory(equality)])).
% cnf(592909,plain,(antidomain(multiplication(X1,addition(X2,antidomain(X2))))=antidomain(X1)),inference(rw,[status(thm)],[202652,591964,theory(equality)])).
% cnf(594598,plain,(antidomain(multiplication(X1,antidomain(multiplication(X2,coantidomain(multiplication(X1,X2))))))=antidomain(X1)),inference(spm,[status(thm)],[592909,477,theory(equality)])).
% cnf(748528,negated_conjecture,(antidomain(multiplication(antidomain(antidomain(esk2_0)),antidomain(multiplication(antidomain(antidomain(multiplication(esk1_0,antidomain(esk3_0)))),coantidomain(zero)))))=antidomain(antidomain(antidomain(esk2_0)))),inference(spm,[status(thm)],[594598,12034,theory(equality)])).
% cnf(749433,negated_conjecture,(antidomain(multiplication(antidomain(antidomain(esk2_0)),antidomain(multiplication(esk1_0,antidomain(esk3_0)))))=antidomain(antidomain(antidomain(esk2_0)))),inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[748528,420,theory(equality)]),80,theory(equality)]),1037,theory(equality)])).
% cnf(749434,negated_conjecture,(antidomain(multiplication(antidomain(antidomain(esk2_0)),antidomain(multiplication(esk1_0,antidomain(esk3_0)))))=antidomain(esk2_0)),inference(rw,[status(thm)],[749433,1037,theory(equality)])).
% cnf(750276,negated_conjecture,(multiplication(antidomain(antidomain(multiplication(esk1_0,antidomain(esk3_0)))),antidomain(antidomain(esk2_0)))=zero),inference(spm,[status(thm)],[47490,749434,theory(equality)])).
% cnf(757720,negated_conjecture,(multiplication(antidomain(zero),multiplication(antidomain(antidomain(multiplication(esk1_0,antidomain(esk3_0)))),esk2_0))=zero),inference(spm,[status(thm)],[26643,750276,theory(equality)])).
% cnf(758035,negated_conjecture,(multiplication(antidomain(antidomain(multiplication(esk1_0,antidomain(esk3_0)))),esk2_0)=zero),inference(rw,[status(thm)],[inference(rw,[status(thm)],[757720,432,theory(equality)]),82,theory(equality)])).
% cnf(758103,negated_conjecture,(addition(zero,multiplication(X1,esk2_0))=multiplication(addition(antidomain(antidomain(multiplication(esk1_0,antidomain(esk3_0)))),X1),esk2_0)),inference(spm,[status(thm)],[38,758035,theory(equality)])).
% cnf(758321,negated_conjecture,(multiplication(X1,esk2_0)=multiplication(addition(antidomain(antidomain(multiplication(esk1_0,antidomain(esk3_0)))),X1),esk2_0)),inference(rw,[status(thm)],[758103,105,theory(equality)])).
% cnf(977658,negated_conjecture,(multiplication(one,esk2_0)=multiplication(antidomain(antidomain(antidomain(multiplication(esk1_0,antidomain(esk3_0))))),esk2_0)),inference(spm,[status(thm)],[758321,100,theory(equality)])).
% cnf(977917,negated_conjecture,(esk2_0=multiplication(antidomain(antidomain(antidomain(multiplication(esk1_0,antidomain(esk3_0))))),esk2_0)),inference(rw,[status(thm)],[977658,82,theory(equality)])).
% cnf(977918,negated_conjecture,(esk2_0=multiplication(antidomain(multiplication(esk1_0,antidomain(esk3_0))),esk2_0)),inference(rw,[status(thm)],[977917,1037,theory(equality)])).
% cnf(978154,negated_conjecture,(multiplication(antidomain(esk2_0),multiplication(esk1_0,antidomain(esk3_0)))=multiplication(esk1_0,antidomain(esk3_0))),inference(spm,[status(thm)],[572982,977918,theory(equality)])).
% cnf(980271,negated_conjecture,(addition(antidomain(antidomain(esk2_0)),antidomain(multiplication(esk1_0,antidomain(esk3_0))))=antidomain(multiplication(esk1_0,antidomain(esk3_0)))),inference(spm,[status(thm)],[591964,978154,theory(equality)])).
% cnf(980508,negated_conjecture,($false),inference(sr,[status(thm)],[980271,1068,theory(equality)])).
% cnf(980509,negated_conjecture,($false),980508,['proof']).
% # SZS output end CNFRefutation
% # Processed clauses : 8081
% # ...of these trivial : 4808
% # ...subsumed : 2019
% # ...remaining for further processing: 1254
% # Other redundant clauses eliminated : 0
% # Clauses deleted for lack of memory : 0
% # Backward-subsumed : 0
% # Backward-rewritten : 212
% # Generated clauses : 493505
% # ...of the previous two non-trivial : 189547
% # Contextual simplify-reflections : 0
% # Paramodulations : 493505
% # Factorizations : 0
% # Equation resolutions : 0
% # Current number of processed clauses: 1021
% # Positive orientable unit clauses: 1006
% # Positive unorientable unit clauses: 12
% # Negative unit clauses : 1
% # Non-unit-clauses : 2
% # Current number of unprocessed clauses: 161676
% # ...number of literals in the above : 161676
% # Clause-clause subsumption calls (NU) : 0
% # Rec. Clause-clause subsumption calls : 0
% # Unit Clause-clause subsumption calls : 53
% # Rewrite failures with RHS unbound : 0
% # Indexed BW rewrite attempts : 11033
% # Indexed BW rewrite successes : 282
% # Backwards rewriting index: 574 leaves, 3.89+/-5.482 terms/leaf
% # Paramod-from index: 325 leaves, 3.16+/-3.882 terms/leaf
% # Paramod-into index: 554 leaves, 3.84+/-5.321 terms/leaf
% # -------------------------------------------------
% # User time : 12.295 s
% # System time : 0.504 s
% # Total time : 12.799 s
% # Maximum resident set size: 0 pages
% PrfWatch: 26.25 CPU 27.26 WC
% FINAL PrfWatch: 26.25 CPU 27.26 WC
% SZS output end Solution for /tmp/SystemOnTPTP18379/KLE107+1.tptp
%
%------------------------------------------------------------------------------