TSTP Solution File: KLE087+1 by SRASS---0.1
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- Process Solution
%------------------------------------------------------------------------------
% File : SRASS---0.1
% Problem : KLE087+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 07:54:35 EST 2010
% Result : Theorem 59.86s
% Output : Solution 59.86s
% 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/SystemOnTPTP17495/KLE087+1.tptp
% Adding relevance values
% Extracting the conjecture
% Sorting axioms by relevance
% Looking for THM ...
% found
% SZS status THM for /tmp/SystemOnTPTP17495/KLE087+1.tptp
% SZS output start Solution for /tmp/SystemOnTPTP17495/KLE087+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 17591
% TreeLimitedRun: ----------------------------------------------------------
% PrfWatch: 0.00 CPU 0.00 WC
% PrfWatch: 1.91 CPU 2.01 WC
% PrfWatch: 3.90 CPU 4.01 WC
% PrfWatch: 5.89 CPU 6.02 WC
% PrfWatch: 7.88 CPU 8.02 WC
% PrfWatch: 9.69 CPU 10.05 WC
% PrfWatch: 11.29 CPU 12.06 WC
% PrfWatch: 13.14 CPU 14.06 WC
% PrfWatch: 15.13 CPU 16.07 WC
% PrfWatch: 17.11 CPU 18.07 WC
% PrfWatch: 19.10 CPU 20.08 WC
% PrfWatch: 21.09 CPU 22.08 WC
% PrfWatch: 23.06 CPU 24.09 WC
% PrfWatch: 25.05 CPU 26.09 WC
% PrfWatch: 27.03 CPU 28.10 WC
% PrfWatch: 29.02 CPU 30.10 WC
% PrfWatch: 31.01 CPU 32.11 WC
% # Preprocessing time : 0.011 s
% # Problem is unsatisfiable (or provable), constructing proof object
% # SZS status Theorem
% PrfWatch: 32.99 CPU 34.11 WC
% PrfWatch: 34.62 CPU 36.12 WC
% PrfWatch: 36.26 CPU 38.12 WC
% PrfWatch: 38.26 CPU 40.13 WC
% PrfWatch: 40.25 CPU 42.13 WC
% PrfWatch: 42.25 CPU 44.13 WC
% PrfWatch: 44.24 CPU 46.14 WC
% PrfWatch: 46.23 CPU 48.14 WC
% PrfWatch: 48.23 CPU 50.15 WC
% PrfWatch: 50.22 CPU 52.15 WC
% PrfWatch: 52.22 CPU 54.16 WC
% PrfWatch: 54.21 CPU 56.16 WC
% PrfWatch: 56.20 CPU 58.17 WC
% PrfWatch: 58.20 CPU 60.17 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]:domain(X4)=antidomain(antidomain(X4)),file('/tmp/SRASS.s.p', domain4)).
% fof(5, axiom,![X1]:![X2]:![X3]:multiplication(X1,multiplication(X2,X3))=multiplication(multiplication(X1,X2),X3),file('/tmp/SRASS.s.p', multiplicative_associativity)).
% fof(6, axiom,![X1]:![X2]:![X3]:multiplication(X1,addition(X2,X3))=addition(multiplication(X1,X2),multiplication(X1,X3)),file('/tmp/SRASS.s.p', right_distributivity)).
% fof(7, axiom,![X1]:![X2]:![X3]:multiplication(addition(X1,X2),X3)=addition(multiplication(X1,X3),multiplication(X2,X3)),file('/tmp/SRASS.s.p', left_distributivity)).
% fof(8, axiom,![X1]:addition(X1,zero)=X1,file('/tmp/SRASS.s.p', additive_identity)).
% fof(9, axiom,![X1]:![X2]:(leq(X1,X2)<=>addition(X1,X2)=X2),file('/tmp/SRASS.s.p', order)).
% fof(10, 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(11, 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(12, axiom,![X4]:multiplication(antidomain(X4),X4)=zero,file('/tmp/SRASS.s.p', domain1)).
% fof(13, axiom,![X4]:addition(antidomain(antidomain(X4)),antidomain(X4))=one,file('/tmp/SRASS.s.p', domain3)).
% fof(14, axiom,![X4]:addition(coantidomain(coantidomain(X4)),coantidomain(X4))=one,file('/tmp/SRASS.s.p', codomain3)).
% fof(15, axiom,![X1]:multiplication(X1,zero)=zero,file('/tmp/SRASS.s.p', right_annihilation)).
% fof(16, axiom,![X1]:multiplication(zero,X1)=zero,file('/tmp/SRASS.s.p', left_annihilation)).
% fof(17, axiom,![X4]:multiplication(X4,coantidomain(X4))=zero,file('/tmp/SRASS.s.p', codomain1)).
% fof(18, axiom,![X1]:multiplication(X1,one)=X1,file('/tmp/SRASS.s.p', multiplicative_right_identity)).
% fof(19, axiom,![X1]:multiplication(one,X1)=X1,file('/tmp/SRASS.s.p', multiplicative_left_identity)).
% fof(21, conjecture,![X4]:![X5]:domain(addition(X4,X5))=addition(domain(X4),domain(X5)),file('/tmp/SRASS.s.p', goals)).
% fof(22, negated_conjecture,~(![X4]:![X5]:domain(addition(X4,X5))=addition(domain(X4),domain(X5))),inference(assume_negation,[status(cth)],[21])).
% fof(23, plain,![X3]:![X4]:addition(X3,X4)=addition(X4,X3),inference(variable_rename,[status(thm)],[1])).
% cnf(24,plain,(addition(X1,X2)=addition(X2,X1)),inference(split_conjunct,[status(thm)],[23])).
% fof(25, plain,![X4]:![X5]:![X6]:addition(X6,addition(X5,X4))=addition(addition(X6,X5),X4),inference(variable_rename,[status(thm)],[2])).
% cnf(26,plain,(addition(X1,addition(X2,X3))=addition(addition(X1,X2),X3)),inference(split_conjunct,[status(thm)],[25])).
% fof(27, plain,![X2]:addition(X2,X2)=X2,inference(variable_rename,[status(thm)],[3])).
% cnf(28,plain,(addition(X1,X1)=X1),inference(split_conjunct,[status(thm)],[27])).
% fof(29, plain,![X5]:domain(X5)=antidomain(antidomain(X5)),inference(variable_rename,[status(thm)],[4])).
% cnf(30,plain,(domain(X1)=antidomain(antidomain(X1))),inference(split_conjunct,[status(thm)],[29])).
% fof(31, plain,![X4]:![X5]:![X6]:multiplication(X4,multiplication(X5,X6))=multiplication(multiplication(X4,X5),X6),inference(variable_rename,[status(thm)],[5])).
% cnf(32,plain,(multiplication(X1,multiplication(X2,X3))=multiplication(multiplication(X1,X2),X3)),inference(split_conjunct,[status(thm)],[31])).
% fof(33, plain,![X4]:![X5]:![X6]:multiplication(X4,addition(X5,X6))=addition(multiplication(X4,X5),multiplication(X4,X6)),inference(variable_rename,[status(thm)],[6])).
% cnf(34,plain,(multiplication(X1,addition(X2,X3))=addition(multiplication(X1,X2),multiplication(X1,X3))),inference(split_conjunct,[status(thm)],[33])).
% fof(35, plain,![X4]:![X5]:![X6]:multiplication(addition(X4,X5),X6)=addition(multiplication(X4,X6),multiplication(X5,X6)),inference(variable_rename,[status(thm)],[7])).
% cnf(36,plain,(multiplication(addition(X1,X2),X3)=addition(multiplication(X1,X3),multiplication(X2,X3))),inference(split_conjunct,[status(thm)],[35])).
% fof(37, plain,![X2]:addition(X2,zero)=X2,inference(variable_rename,[status(thm)],[8])).
% cnf(38,plain,(addition(X1,zero)=X1),inference(split_conjunct,[status(thm)],[37])).
% fof(39, plain,![X1]:![X2]:((~(leq(X1,X2))|addition(X1,X2)=X2)&(~(addition(X1,X2)=X2)|leq(X1,X2))),inference(fof_nnf,[status(thm)],[9])).
% fof(40, plain,![X3]:![X4]:((~(leq(X3,X4))|addition(X3,X4)=X4)&(~(addition(X3,X4)=X4)|leq(X3,X4))),inference(variable_rename,[status(thm)],[39])).
% cnf(41,plain,(leq(X1,X2)|addition(X1,X2)!=X2),inference(split_conjunct,[status(thm)],[40])).
% cnf(42,plain,(addition(X1,X2)=X2|~leq(X1,X2)),inference(split_conjunct,[status(thm)],[40])).
% fof(43, 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)],[10])).
% cnf(44,plain,(addition(antidomain(multiplication(X1,X2)),antidomain(multiplication(X1,antidomain(antidomain(X2)))))=antidomain(multiplication(X1,antidomain(antidomain(X2))))),inference(split_conjunct,[status(thm)],[43])).
% fof(45, 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)],[11])).
% cnf(46,plain,(addition(coantidomain(multiplication(X1,X2)),coantidomain(multiplication(coantidomain(coantidomain(X1)),X2)))=coantidomain(multiplication(coantidomain(coantidomain(X1)),X2))),inference(split_conjunct,[status(thm)],[45])).
% fof(47, plain,![X5]:multiplication(antidomain(X5),X5)=zero,inference(variable_rename,[status(thm)],[12])).
% cnf(48,plain,(multiplication(antidomain(X1),X1)=zero),inference(split_conjunct,[status(thm)],[47])).
% fof(49, plain,![X5]:addition(antidomain(antidomain(X5)),antidomain(X5))=one,inference(variable_rename,[status(thm)],[13])).
% cnf(50,plain,(addition(antidomain(antidomain(X1)),antidomain(X1))=one),inference(split_conjunct,[status(thm)],[49])).
% fof(51, plain,![X5]:addition(coantidomain(coantidomain(X5)),coantidomain(X5))=one,inference(variable_rename,[status(thm)],[14])).
% cnf(52,plain,(addition(coantidomain(coantidomain(X1)),coantidomain(X1))=one),inference(split_conjunct,[status(thm)],[51])).
% fof(53, plain,![X2]:multiplication(X2,zero)=zero,inference(variable_rename,[status(thm)],[15])).
% cnf(54,plain,(multiplication(X1,zero)=zero),inference(split_conjunct,[status(thm)],[53])).
% fof(55, plain,![X2]:multiplication(zero,X2)=zero,inference(variable_rename,[status(thm)],[16])).
% cnf(56,plain,(multiplication(zero,X1)=zero),inference(split_conjunct,[status(thm)],[55])).
% fof(57, plain,![X5]:multiplication(X5,coantidomain(X5))=zero,inference(variable_rename,[status(thm)],[17])).
% cnf(58,plain,(multiplication(X1,coantidomain(X1))=zero),inference(split_conjunct,[status(thm)],[57])).
% fof(59, plain,![X2]:multiplication(X2,one)=X2,inference(variable_rename,[status(thm)],[18])).
% cnf(60,plain,(multiplication(X1,one)=X1),inference(split_conjunct,[status(thm)],[59])).
% fof(61, plain,![X2]:multiplication(one,X2)=X2,inference(variable_rename,[status(thm)],[19])).
% cnf(62,plain,(multiplication(one,X1)=X1),inference(split_conjunct,[status(thm)],[61])).
% fof(65, negated_conjecture,?[X4]:?[X5]:~(domain(addition(X4,X5))=addition(domain(X4),domain(X5))),inference(fof_nnf,[status(thm)],[22])).
% fof(66, negated_conjecture,?[X6]:?[X7]:~(domain(addition(X6,X7))=addition(domain(X6),domain(X7))),inference(variable_rename,[status(thm)],[65])).
% fof(67, negated_conjecture,~(domain(addition(esk1_0,esk2_0))=addition(domain(esk1_0),domain(esk2_0))),inference(skolemize,[status(esa)],[66])).
% cnf(68,negated_conjecture,(domain(addition(esk1_0,esk2_0))!=addition(domain(esk1_0),domain(esk2_0))),inference(split_conjunct,[status(thm)],[67])).
% cnf(69,negated_conjecture,(addition(antidomain(antidomain(esk1_0)),antidomain(antidomain(esk2_0)))!=antidomain(antidomain(addition(esk1_0,esk2_0)))),inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[68,30,theory(equality)]),30,theory(equality)]),30,theory(equality)]),['unfolding']).
% cnf(70,plain,(zero=coantidomain(one)),inference(spm,[status(thm)],[62,58,theory(equality)])).
% cnf(71,plain,(zero=antidomain(one)),inference(spm,[status(thm)],[60,48,theory(equality)])).
% cnf(72,plain,(addition(zero,X1)=X1),inference(spm,[status(thm)],[38,24,theory(equality)])).
% cnf(80,plain,(leq(X1,X2)|addition(X2,X1)!=X2),inference(spm,[status(thm)],[41,24,theory(equality)])).
% cnf(84,plain,(addition(X1,addition(X2,X3))=addition(X3,addition(X1,X2))),inference(spm,[status(thm)],[24,26,theory(equality)])).
% cnf(89,plain,(addition(X1,X2)=addition(X1,addition(X1,X2))),inference(spm,[status(thm)],[26,28,theory(equality)])).
% cnf(103,plain,(multiplication(zero,X2)=multiplication(antidomain(X1),multiplication(X1,X2))),inference(spm,[status(thm)],[32,48,theory(equality)])).
% cnf(114,plain,(zero=multiplication(antidomain(X1),multiplication(X1,X2))),inference(rw,[status(thm)],[103,56,theory(equality)])).
% cnf(119,plain,(addition(antidomain(X1),antidomain(antidomain(X1)))=one),inference(rw,[status(thm)],[50,24,theory(equality)])).
% cnf(121,plain,(addition(one,X2)=addition(antidomain(X1),addition(antidomain(antidomain(X1)),X2))),inference(spm,[status(thm)],[26,119,theory(equality)])).
% cnf(122,plain,(addition(coantidomain(X1),coantidomain(coantidomain(X1)))=one),inference(rw,[status(thm)],[52,24,theory(equality)])).
% cnf(124,plain,(addition(one,X2)=addition(coantidomain(X1),addition(coantidomain(coantidomain(X1)),X2))),inference(spm,[status(thm)],[26,122,theory(equality)])).
% cnf(133,plain,(addition(multiplication(antidomain(X1),X2),zero)=multiplication(antidomain(X1),addition(X2,X1))),inference(spm,[status(thm)],[34,48,theory(equality)])).
% cnf(134,plain,(addition(multiplication(X1,X2),X1)=multiplication(X1,addition(X2,one))),inference(spm,[status(thm)],[34,60,theory(equality)])).
% cnf(135,plain,(addition(multiplication(X1,X2),zero)=multiplication(X1,addition(X2,coantidomain(X1)))),inference(spm,[status(thm)],[34,58,theory(equality)])).
% cnf(142,plain,(addition(zero,multiplication(X1,X2))=multiplication(X1,addition(coantidomain(X1),X2))),inference(spm,[status(thm)],[34,58,theory(equality)])).
% cnf(153,plain,(multiplication(antidomain(X1),X2)=multiplication(antidomain(X1),addition(X2,X1))),inference(rw,[status(thm)],[133,38,theory(equality)])).
% cnf(154,plain,(multiplication(X1,X2)=multiplication(X1,addition(X2,coantidomain(X1)))),inference(rw,[status(thm)],[135,38,theory(equality)])).
% cnf(169,plain,(addition(multiplication(X1,X2),X2)=multiplication(addition(X1,one),X2)),inference(spm,[status(thm)],[36,62,theory(equality)])).
% cnf(171,plain,(addition(multiplication(X1,X2),multiplication(X3,multiplication(X4,X2)))=multiplication(addition(X1,multiplication(X3,X4)),X2)),inference(spm,[status(thm)],[36,32,theory(equality)])).
% cnf(172,plain,(addition(multiplication(X1,X2),zero)=multiplication(addition(X1,antidomain(X2)),X2)),inference(spm,[status(thm)],[36,48,theory(equality)])).
% cnf(174,plain,(addition(multiplication(X1,coantidomain(X2)),zero)=multiplication(addition(X1,X2),coantidomain(X2))),inference(spm,[status(thm)],[36,58,theory(equality)])).
% cnf(179,plain,(addition(zero,multiplication(X2,X1))=multiplication(addition(antidomain(X1),X2),X1)),inference(spm,[status(thm)],[36,48,theory(equality)])).
% cnf(190,plain,(multiplication(X1,X2)=multiplication(addition(X1,antidomain(X2)),X2)),inference(rw,[status(thm)],[172,38,theory(equality)])).
% cnf(193,plain,(multiplication(X1,coantidomain(X2))=multiplication(addition(X1,X2),coantidomain(X2))),inference(rw,[status(thm)],[174,38,theory(equality)])).
% cnf(211,plain,(addition(antidomain(zero),antidomain(multiplication(X1,antidomain(antidomain(coantidomain(X1))))))=antidomain(multiplication(X1,antidomain(antidomain(coantidomain(X1)))))),inference(spm,[status(thm)],[44,58,theory(equality)])).
% cnf(230,plain,(addition(coantidomain(zero),coantidomain(multiplication(coantidomain(coantidomain(antidomain(X1))),X1)))=coantidomain(multiplication(coantidomain(coantidomain(antidomain(X1))),X1))),inference(spm,[status(thm)],[46,48,theory(equality)])).
% cnf(241,plain,(addition(zero,coantidomain(zero))=one),inference(spm,[status(thm)],[122,70,theory(equality)])).
% cnf(246,plain,(addition(zero,antidomain(zero))=one),inference(spm,[status(thm)],[119,71,theory(equality)])).
% cnf(258,plain,(coantidomain(zero)=one),inference(rw,[status(thm)],[241,72,theory(equality)])).
% cnf(272,plain,(antidomain(zero)=one),inference(rw,[status(thm)],[246,72,theory(equality)])).
% cnf(282,plain,(leq(X1,addition(X1,X2))),inference(spm,[status(thm)],[41,89,theory(equality)])).
% cnf(286,plain,(addition(coantidomain(X1),one)=one),inference(spm,[status(thm)],[89,122,theory(equality)])).
% cnf(291,plain,(addition(antidomain(X1),one)=one),inference(spm,[status(thm)],[89,119,theory(equality)])).
% cnf(295,plain,(addition(X1,addition(X2,X1))=addition(X2,X1)),inference(spm,[status(thm)],[89,24,theory(equality)])).
% cnf(322,plain,(leq(X1,addition(X2,X1))),inference(spm,[status(thm)],[282,24,theory(equality)])).
% cnf(339,plain,(addition(one,coantidomain(X1))=one),inference(rw,[status(thm)],[286,24,theory(equality)])).
% cnf(387,plain,(addition(one,antidomain(X1))=one),inference(rw,[status(thm)],[291,24,theory(equality)])).
% cnf(474,plain,(leq(X1,addition(X2,addition(X3,X1)))),inference(spm,[status(thm)],[322,26,theory(equality)])).
% cnf(497,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)],[44,114,theory(equality)])).
% cnf(515,plain,(one=antidomain(multiplication(antidomain(X1),antidomain(antidomain(multiplication(X1,X2)))))),inference(rw,[status(thm)],[inference(rw,[status(thm)],[497,272,theory(equality)]),387,theory(equality)])).
% cnf(617,plain,(leq(multiplication(X1,X2),addition(X3,multiplication(X1,addition(X4,X2))))),inference(spm,[status(thm)],[474,34,theory(equality)])).
% cnf(618,plain,(leq(multiplication(X1,X2),addition(X3,multiplication(addition(X4,X1),X2)))),inference(spm,[status(thm)],[474,36,theory(equality)])).
% cnf(673,plain,(addition(X1,multiplication(X1,X2))=multiplication(X1,addition(X2,one))),inference(rw,[status(thm)],[134,24,theory(equality)])).
% cnf(683,plain,(leq(multiplication(X1,X2),X1)|multiplication(X1,addition(X2,one))!=X1),inference(spm,[status(thm)],[80,673,theory(equality)])).
% cnf(717,plain,(addition(X2,multiplication(X1,X2))=multiplication(addition(X1,one),X2)),inference(rw,[status(thm)],[169,24,theory(equality)])).
% cnf(727,plain,(leq(multiplication(X1,X2),X2)|multiplication(addition(X1,one),X2)!=X2),inference(spm,[status(thm)],[80,717,theory(equality)])).
% cnf(885,plain,(addition(X1,addition(multiplication(X1,X2),X3))=addition(X3,multiplication(X1,addition(X2,one)))),inference(spm,[status(thm)],[84,673,theory(equality)])).
% cnf(1551,plain,(leq(multiplication(X1,X2),X1)|multiplication(X1,addition(one,X2))!=X1),inference(spm,[status(thm)],[683,24,theory(equality)])).
% cnf(1582,plain,(leq(multiplication(X1,X2),X2)|multiplication(addition(one,X1),X2)!=X2),inference(spm,[status(thm)],[727,24,theory(equality)])).
% cnf(3024,plain,(multiplication(antidomain(antidomain(antidomain(X1))),one)=multiplication(antidomain(antidomain(antidomain(X1))),antidomain(X1))),inference(spm,[status(thm)],[153,119,theory(equality)])).
% cnf(3025,plain,(multiplication(antidomain(addition(antidomain(antidomain(X1)),X2)),addition(one,X2))=multiplication(antidomain(addition(antidomain(antidomain(X1)),X2)),antidomain(X1))),inference(spm,[status(thm)],[153,121,theory(equality)])).
% cnf(3032,plain,(multiplication(antidomain(addition(X1,X2)),addition(X1,X2))=multiplication(antidomain(addition(X1,X2)),X1)),inference(spm,[status(thm)],[153,89,theory(equality)])).
% cnf(3034,plain,(multiplication(antidomain(addition(X1,X2)),addition(X1,X2))=multiplication(antidomain(addition(X1,X2)),X2)),inference(spm,[status(thm)],[153,295,theory(equality)])).
% cnf(3035,plain,(multiplication(antidomain(X1),addition(X1,X2))=multiplication(antidomain(X1),X2)),inference(spm,[status(thm)],[153,24,theory(equality)])).
% cnf(3071,plain,(antidomain(antidomain(antidomain(X1)))=multiplication(antidomain(antidomain(antidomain(X1))),antidomain(X1))),inference(rw,[status(thm)],[3024,60,theory(equality)])).
% cnf(3072,plain,(zero=multiplication(antidomain(addition(X1,X2)),X1)),inference(rw,[status(thm)],[3032,48,theory(equality)])).
% cnf(3073,plain,(zero=multiplication(antidomain(addition(X1,X2)),X2)),inference(rw,[status(thm)],[3034,48,theory(equality)])).
% cnf(3199,plain,(addition(zero,multiplication(X3,X1))=multiplication(addition(antidomain(addition(X1,X2)),X3),X1)),inference(spm,[status(thm)],[36,3072,theory(equality)])).
% cnf(3250,plain,(multiplication(X3,X1)=multiplication(addition(antidomain(addition(X1,X2)),X3),X1)),inference(rw,[status(thm)],[3199,72,theory(equality)])).
% cnf(3289,plain,(addition(antidomain(addition(X1,X2)),zero)=multiplication(antidomain(addition(X1,X2)),addition(X2,one))),inference(spm,[status(thm)],[673,3073,theory(equality)])).
% cnf(3290,plain,(addition(multiplication(antidomain(addition(X1,X2)),X3),zero)=multiplication(antidomain(addition(X1,X2)),addition(X3,X2))),inference(spm,[status(thm)],[34,3073,theory(equality)])).
% cnf(3340,plain,(antidomain(addition(X1,X2))=multiplication(antidomain(addition(X1,X2)),addition(X2,one))),inference(rw,[status(thm)],[3289,38,theory(equality)])).
% cnf(3341,plain,(multiplication(antidomain(addition(X1,X2)),X3)=multiplication(antidomain(addition(X1,X2)),addition(X3,X2))),inference(rw,[status(thm)],[3290,38,theory(equality)])).
% cnf(3504,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)],[190,44,theory(equality)])).
% cnf(3534,plain,(zero=multiplication(antidomain(multiplication(X1,X2)),multiplication(X1,antidomain(antidomain(X2))))),inference(rw,[status(thm)],[3504,48,theory(equality)])).
% cnf(3636,plain,(multiplication(X1,addition(coantidomain(X1),X2))=multiplication(X1,X2)),inference(rw,[status(thm)],[142,72,theory(equality)])).
% cnf(3674,plain,(multiplication(X1,one)=multiplication(X1,coantidomain(coantidomain(X1)))),inference(spm,[status(thm)],[3636,122,theory(equality)])).
% cnf(3713,plain,(X1=multiplication(X1,coantidomain(coantidomain(X1)))),inference(rw,[status(thm)],[3674,60,theory(equality)])).
% cnf(3784,plain,(multiplication(one,coantidomain(coantidomain(coantidomain(X1))))=multiplication(coantidomain(X1),coantidomain(coantidomain(coantidomain(X1))))),inference(spm,[status(thm)],[193,122,theory(equality)])).
% cnf(3798,plain,(multiplication(addition(X1,X2),coantidomain(addition(X1,X2)))=multiplication(X1,coantidomain(addition(X1,X2)))),inference(spm,[status(thm)],[193,89,theory(equality)])).
% cnf(3840,plain,(coantidomain(coantidomain(coantidomain(X1)))=multiplication(coantidomain(X1),coantidomain(coantidomain(coantidomain(X1))))),inference(rw,[status(thm)],[3784,62,theory(equality)])).
% cnf(3841,plain,(coantidomain(coantidomain(coantidomain(X1)))=coantidomain(X1)),inference(rw,[status(thm)],[3840,3713,theory(equality)])).
% cnf(3852,plain,(zero=multiplication(X1,coantidomain(addition(X1,X2)))),inference(rw,[status(thm)],[3798,58,theory(equality)])).
% cnf(3919,plain,(addition(coantidomain(zero),coantidomain(multiplication(coantidomain(coantidomain(X1)),coantidomain(addition(X1,X2)))))=coantidomain(multiplication(coantidomain(coantidomain(X1)),coantidomain(addition(X1,X2))))),inference(spm,[status(thm)],[46,3852,theory(equality)])).
% cnf(3971,plain,(one=coantidomain(multiplication(coantidomain(coantidomain(X1)),coantidomain(addition(X1,X2))))),inference(rw,[status(thm)],[inference(rw,[status(thm)],[3919,258,theory(equality)]),339,theory(equality)])).
% cnf(4341,plain,(leq(multiplication(X1,coantidomain(X2)),X1)|multiplication(X1,one)!=X1),inference(spm,[status(thm)],[1551,339,theory(equality)])).
% cnf(4369,plain,(leq(multiplication(X1,coantidomain(X2)),X1)|$false),inference(rw,[status(thm)],[4341,60,theory(equality)])).
% cnf(4370,plain,(leq(multiplication(X1,coantidomain(X2)),X1)),inference(cn,[status(thm)],[4369,theory(equality)])).
% cnf(4413,plain,(leq(multiplication(antidomain(X1),X2),X2)|multiplication(one,X2)!=X2),inference(spm,[status(thm)],[1582,387,theory(equality)])).
% cnf(4445,plain,(leq(multiplication(antidomain(X1),X2),X2)|$false),inference(rw,[status(thm)],[4413,62,theory(equality)])).
% cnf(4446,plain,(leq(multiplication(antidomain(X1),X2),X2)),inference(cn,[status(thm)],[4445,theory(equality)])).
% cnf(4477,plain,(multiplication(addition(antidomain(X1),X2),X1)=multiplication(X2,X1)),inference(rw,[status(thm)],[179,72,theory(equality)])).
% cnf(4492,plain,(addition(addition(antidomain(X1),X2),multiplication(X2,X1))=multiplication(addition(antidomain(X1),X2),addition(X1,one))),inference(spm,[status(thm)],[673,4477,theory(equality)])).
% cnf(4514,plain,(multiplication(one,X1)=multiplication(antidomain(antidomain(X1)),X1)),inference(spm,[status(thm)],[4477,119,theory(equality)])).
% cnf(4528,plain,(addition(antidomain(X1),multiplication(X2,addition(X1,one)))=multiplication(addition(antidomain(X1),X2),addition(X1,one))),inference(rw,[status(thm)],[inference(rw,[status(thm)],[4492,26,theory(equality)]),673,theory(equality)])).
% cnf(4554,plain,(X1=multiplication(antidomain(antidomain(X1)),X1)),inference(rw,[status(thm)],[4514,62,theory(equality)])).
% cnf(4691,plain,(leq(coantidomain(X1),antidomain(antidomain(coantidomain(X1))))),inference(spm,[status(thm)],[4370,4554,theory(equality)])).
% cnf(4804,plain,(leq(antidomain(X1),coantidomain(coantidomain(antidomain(X1))))),inference(spm,[status(thm)],[4446,3713,theory(equality)])).
% cnf(4901,plain,(addition(coantidomain(X1),antidomain(antidomain(coantidomain(X1))))=antidomain(antidomain(coantidomain(X1)))),inference(spm,[status(thm)],[42,4691,theory(equality)])).
% cnf(5326,plain,(addition(antidomain(X1),coantidomain(coantidomain(antidomain(X1))))=coantidomain(coantidomain(antidomain(X1)))),inference(spm,[status(thm)],[42,4804,theory(equality)])).
% cnf(6049,plain,(antidomain(X1)=antidomain(antidomain(antidomain(X1)))),inference(rw,[status(thm)],[3071,4554,theory(equality)])).
% cnf(7168,plain,(addition(coantidomain(X1),antidomain(antidomain(coantidomain(coantidomain(X1)))))=addition(one,antidomain(antidomain(coantidomain(coantidomain(X1)))))),inference(spm,[status(thm)],[124,4901,theory(equality)])).
% cnf(7205,plain,(addition(coantidomain(X1),antidomain(antidomain(coantidomain(coantidomain(X1)))))=one),inference(rw,[status(thm)],[7168,387,theory(equality)])).
% cnf(7339,plain,(addition(antidomain(X1),coantidomain(coantidomain(antidomain(antidomain(X1)))))=addition(one,coantidomain(coantidomain(antidomain(antidomain(X1)))))),inference(spm,[status(thm)],[121,5326,theory(equality)])).
% cnf(7376,plain,(addition(antidomain(X1),coantidomain(coantidomain(antidomain(antidomain(X1)))))=one),inference(rw,[status(thm)],[7339,339,theory(equality)])).
% cnf(8761,plain,(addition(multiplication(X1,X2),zero)=multiplication(addition(X1,multiplication(antidomain(multiplication(X3,X2)),X3)),X2)),inference(spm,[status(thm)],[171,48,theory(equality)])).
% cnf(8865,plain,(multiplication(X1,X2)=multiplication(addition(X1,multiplication(antidomain(multiplication(X3,X2)),X3)),X2)),inference(rw,[status(thm)],[8761,38,theory(equality)])).
% cnf(17497,plain,(one=antidomain(multiplication(X1,antidomain(antidomain(coantidomain(X1)))))),inference(rw,[status(thm)],[inference(rw,[status(thm)],[211,272,theory(equality)]),387,theory(equality)])).
% cnf(17498,plain,(multiplication(one,multiplication(X1,antidomain(antidomain(coantidomain(X1)))))=zero),inference(spm,[status(thm)],[48,17497,theory(equality)])).
% cnf(17570,plain,(multiplication(X1,antidomain(antidomain(coantidomain(X1))))=zero),inference(rw,[status(thm)],[17498,62,theory(equality)])).
% cnf(17685,plain,(addition(zero,multiplication(X1,X2))=multiplication(X1,addition(antidomain(antidomain(coantidomain(X1))),X2))),inference(spm,[status(thm)],[34,17570,theory(equality)])).
% cnf(17759,plain,(multiplication(X1,X2)=multiplication(X1,addition(antidomain(antidomain(coantidomain(X1))),X2))),inference(rw,[status(thm)],[17685,72,theory(equality)])).
% cnf(21806,plain,(multiplication(one,antidomain(coantidomain(coantidomain(X1))))=multiplication(coantidomain(X1),antidomain(coantidomain(coantidomain(X1))))),inference(spm,[status(thm)],[190,7205,theory(equality)])).
% cnf(21877,plain,(antidomain(coantidomain(coantidomain(X1)))=multiplication(coantidomain(X1),antidomain(coantidomain(coantidomain(X1))))),inference(rw,[status(thm)],[21806,62,theory(equality)])).
% cnf(22601,plain,(multiplication(coantidomain(coantidomain(X1)),antidomain(coantidomain(X1)))=antidomain(coantidomain(X1))),inference(spm,[status(thm)],[21877,3841,theory(equality)])).
% cnf(23687,plain,(multiplication(coantidomain(antidomain(antidomain(X1))),one)=multiplication(coantidomain(antidomain(antidomain(X1))),antidomain(X1))),inference(spm,[status(thm)],[154,7376,theory(equality)])).
% cnf(23757,plain,(coantidomain(antidomain(antidomain(X1)))=multiplication(coantidomain(antidomain(antidomain(X1))),antidomain(X1))),inference(rw,[status(thm)],[23687,60,theory(equality)])).
% cnf(24691,plain,(multiplication(coantidomain(antidomain(X1)),antidomain(antidomain(X1)))=coantidomain(antidomain(X1))),inference(spm,[status(thm)],[23757,6049,theory(equality)])).
% cnf(25293,plain,(one=coantidomain(multiplication(coantidomain(coantidomain(antidomain(X1))),X1))),inference(rw,[status(thm)],[inference(rw,[status(thm)],[230,258,theory(equality)]),339,theory(equality)])).
% cnf(25294,plain,(multiplication(multiplication(coantidomain(coantidomain(antidomain(X1))),X1),one)=zero),inference(spm,[status(thm)],[58,25293,theory(equality)])).
% cnf(25386,plain,(multiplication(coantidomain(coantidomain(antidomain(X1))),X1)=zero),inference(rw,[status(thm)],[inference(rw,[status(thm)],[25294,32,theory(equality)]),60,theory(equality)])).
% cnf(40001,plain,(multiplication(one,multiplication(antidomain(X1),antidomain(antidomain(multiplication(X1,X2)))))=zero),inference(spm,[status(thm)],[48,515,theory(equality)])).
% cnf(40227,plain,(multiplication(antidomain(X1),antidomain(antidomain(multiplication(X1,X2))))=zero),inference(rw,[status(thm)],[40001,62,theory(equality)])).
% cnf(57205,plain,(leq(multiplication(X1,coantidomain(X2)),addition(X3,multiplication(X1,one)))),inference(spm,[status(thm)],[617,339,theory(equality)])).
% cnf(57220,plain,(leq(multiplication(X1,antidomain(X2)),addition(X3,multiplication(X1,one)))),inference(spm,[status(thm)],[617,387,theory(equality)])).
% cnf(57458,plain,(leq(multiplication(X1,coantidomain(X2)),addition(X3,X1))),inference(rw,[status(thm)],[57205,60,theory(equality)])).
% cnf(57463,plain,(leq(multiplication(X1,antidomain(X2)),addition(X3,X1))),inference(rw,[status(thm)],[57220,60,theory(equality)])).
% cnf(57597,plain,(addition(multiplication(X1,coantidomain(X2)),addition(X3,X1))=addition(X3,X1)),inference(spm,[status(thm)],[42,57458,theory(equality)])).
% cnf(57831,plain,(addition(multiplication(X1,antidomain(X2)),addition(X3,X1))=addition(X3,X1)),inference(spm,[status(thm)],[42,57463,theory(equality)])).
% cnf(58715,plain,(leq(multiplication(antidomain(X1),X2),addition(X3,multiplication(one,X2)))),inference(spm,[status(thm)],[618,387,theory(equality)])).
% cnf(58984,plain,(leq(multiplication(antidomain(X1),X2),addition(X3,X2))),inference(rw,[status(thm)],[58715,62,theory(equality)])).
% cnf(59374,plain,(addition(multiplication(antidomain(X1),X2),addition(X3,X2))=addition(X3,X2)),inference(spm,[status(thm)],[42,58984,theory(equality)])).
% cnf(87970,plain,(multiplication(one,X1)=multiplication(antidomain(antidomain(addition(X1,X2))),X1)),inference(spm,[status(thm)],[3250,119,theory(equality)])).
% cnf(88220,plain,(X1=multiplication(antidomain(antidomain(addition(X1,X2))),X1)),inference(rw,[status(thm)],[87970,62,theory(equality)])).
% cnf(88311,plain,(multiplication(antidomain(antidomain(antidomain(addition(X1,X2)))),antidomain(antidomain(X1)))=zero),inference(spm,[status(thm)],[40227,88220,theory(equality)])).
% cnf(88445,plain,(multiplication(antidomain(antidomain(addition(X2,X1))),X1)=X1),inference(spm,[status(thm)],[88220,295,theory(equality)])).
% cnf(88520,plain,(multiplication(antidomain(addition(X1,X2)),antidomain(antidomain(X1)))=zero),inference(rw,[status(thm)],[88311,6049,theory(equality)])).
% cnf(88710,plain,(multiplication(antidomain(antidomain(antidomain(addition(X1,X2)))),antidomain(antidomain(X2)))=zero),inference(spm,[status(thm)],[40227,88445,theory(equality)])).
% cnf(88909,plain,(multiplication(antidomain(addition(X1,X2)),antidomain(antidomain(X2)))=zero),inference(rw,[status(thm)],[88710,6049,theory(equality)])).
% cnf(96303,plain,(multiplication(antidomain(addition(X1,X2)),addition(one,X2))=antidomain(addition(X1,X2))),inference(spm,[status(thm)],[3340,24,theory(equality)])).
% cnf(104817,plain,(multiplication(multiplication(coantidomain(coantidomain(X1)),coantidomain(addition(X1,X2))),one)=zero),inference(spm,[status(thm)],[58,3971,theory(equality)])).
% cnf(105124,plain,(multiplication(coantidomain(coantidomain(X1)),coantidomain(addition(X1,X2)))=zero),inference(rw,[status(thm)],[inference(rw,[status(thm)],[104817,32,theory(equality)]),60,theory(equality)])).
% cnf(105619,plain,(multiplication(coantidomain(coantidomain(X1)),coantidomain(addition(X2,X1)))=zero),inference(spm,[status(thm)],[105124,295,theory(equality)])).
% cnf(121915,plain,(multiplication(X1,one)=multiplication(X1,antidomain(antidomain(antidomain(coantidomain(X1)))))),inference(spm,[status(thm)],[17759,119,theory(equality)])).
% cnf(122145,plain,(X1=multiplication(X1,antidomain(antidomain(antidomain(coantidomain(X1)))))),inference(rw,[status(thm)],[121915,60,theory(equality)])).
% cnf(122146,plain,(X1=multiplication(X1,antidomain(coantidomain(X1)))),inference(rw,[status(thm)],[122145,6049,theory(equality)])).
% cnf(122308,plain,(multiplication(coantidomain(coantidomain(X1)),antidomain(coantidomain(X1)))=coantidomain(coantidomain(X1))),inference(spm,[status(thm)],[122146,3841,theory(equality)])).
% cnf(122320,plain,(coantidomain(X1)=antidomain(coantidomain(coantidomain(X1)))),inference(rw,[status(thm)],[21877,122146,theory(equality)])).
% cnf(122465,plain,(antidomain(coantidomain(X1))=coantidomain(coantidomain(X1))),inference(rw,[status(thm)],[122308,22601,theory(equality)])).
% cnf(122625,plain,(multiplication(antidomain(coantidomain(X1)),coantidomain(addition(X2,X1)))=zero),inference(rw,[status(thm)],[105619,122465,theory(equality)])).
% cnf(122626,plain,(multiplication(antidomain(coantidomain(X1)),coantidomain(addition(X1,X2)))=zero),inference(rw,[status(thm)],[105124,122465,theory(equality)])).
% cnf(122655,plain,(addition(coantidomain(X1),antidomain(coantidomain(X1)))=one),inference(rw,[status(thm)],[inference(rw,[status(thm)],[7205,122465,theory(equality)]),6049,theory(equality)])).
% cnf(122691,plain,(addition(coantidomain(X1),addition(antidomain(coantidomain(X1)),X2))=addition(one,X2)),inference(rw,[status(thm)],[124,122465,theory(equality)])).
% cnf(122709,plain,(addition(antidomain(X1),antidomain(coantidomain(antidomain(antidomain(X1)))))=one),inference(rw,[status(thm)],[7376,122465,theory(equality)])).
% cnf(122719,plain,(multiplication(antidomain(coantidomain(antidomain(X1))),X1)=zero),inference(rw,[status(thm)],[25386,122465,theory(equality)])).
% cnf(122870,plain,(antidomain(antidomain(coantidomain(X1)))=coantidomain(X1)),inference(rw,[status(thm)],[122320,122465,theory(equality)])).
% cnf(124114,plain,(addition(zero,multiplication(X2,X1))=multiplication(addition(antidomain(coantidomain(antidomain(X1))),X2),X1)),inference(spm,[status(thm)],[36,122719,theory(equality)])).
% cnf(124287,plain,(multiplication(X2,X1)=multiplication(addition(antidomain(coantidomain(antidomain(X1))),X2),X1)),inference(rw,[status(thm)],[124114,72,theory(equality)])).
% cnf(126364,plain,(addition(X2,addition(multiplication(X2,X1),antidomain(X1)))=multiplication(addition(antidomain(X1),X2),addition(X1,one))),inference(spm,[status(thm)],[4528,885,theory(equality)])).
% cnf(155823,plain,(addition(X1,addition(multiplication(X1,coantidomain(X2)),X3))=addition(X3,X1)),inference(rw,[status(thm)],[57597,84,theory(equality)])).
% cnf(156355,plain,(addition(X1,addition(X3,multiplication(X1,coantidomain(X2))))=addition(addition(X3,multiplication(X1,coantidomain(X2))),X1)),inference(spm,[status(thm)],[155823,295,theory(equality)])).
% cnf(156366,plain,(addition(X1,multiplication(addition(X1,X3),coantidomain(X2)))=addition(multiplication(X3,coantidomain(X2)),X1)),inference(spm,[status(thm)],[155823,36,theory(equality)])).
% cnf(156871,plain,(addition(X1,addition(X3,multiplication(X1,coantidomain(X2))))=addition(X3,X1)),inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[156355,26,theory(equality)]),24,theory(equality)]),673,theory(equality)]),24,theory(equality)]),339,theory(equality)]),60,theory(equality)])).
% cnf(160102,plain,(addition(X1,addition(multiplication(X1,antidomain(X2)),X3))=addition(X3,X1)),inference(rw,[status(thm)],[57831,84,theory(equality)])).
% cnf(160653,plain,(addition(X1,multiplication(addition(X1,X3),antidomain(X2)))=addition(multiplication(X3,antidomain(X2)),X1)),inference(spm,[status(thm)],[160102,36,theory(equality)])).
% cnf(168843,plain,(addition(X2,addition(multiplication(antidomain(X1),X2),X3))=addition(X3,X2)),inference(rw,[status(thm)],[59374,84,theory(equality)])).
% cnf(169430,plain,(addition(X1,addition(X3,multiplication(antidomain(X2),X1)))=addition(X3,X1)),inference(spm,[status(thm)],[168843,24,theory(equality)])).
% cnf(206513,plain,(multiplication(antidomain(addition(antidomain(coantidomain(X1)),X2)),addition(one,X2))=multiplication(antidomain(addition(antidomain(coantidomain(X1)),X2)),coantidomain(X1))),inference(spm,[status(thm)],[153,122691,theory(equality)])).
% cnf(206947,plain,(antidomain(addition(antidomain(coantidomain(X1)),X2))=multiplication(antidomain(addition(antidomain(coantidomain(X1)),X2)),coantidomain(X1))),inference(rw,[status(thm)],[206513,96303,theory(equality)])).
% cnf(208084,plain,(multiplication(one,X1)=multiplication(antidomain(coantidomain(antidomain(antidomain(coantidomain(antidomain(X1)))))),X1)),inference(spm,[status(thm)],[124287,122709,theory(equality)])).
% cnf(208385,plain,(X1=multiplication(antidomain(coantidomain(antidomain(antidomain(coantidomain(antidomain(X1)))))),X1)),inference(rw,[status(thm)],[208084,62,theory(equality)])).
% cnf(208386,plain,(X1=multiplication(coantidomain(antidomain(X1)),X1)),inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[208385,122870,theory(equality)]),122465,theory(equality)]),122870,theory(equality)])).
% cnf(208609,plain,(multiplication(coantidomain(antidomain(X1)),antidomain(antidomain(X1)))=antidomain(antidomain(X1))),inference(spm,[status(thm)],[208386,6049,theory(equality)])).
% cnf(208817,plain,(coantidomain(antidomain(X1))=antidomain(antidomain(X1))),inference(rw,[status(thm)],[208609,24691,theory(equality)])).
% cnf(240660,plain,(addition(X1,multiplication(antidomain(X2),addition(X3,X1)))=addition(multiplication(antidomain(X2),X3),X1)),inference(spm,[status(thm)],[169430,34,theory(equality)])).
% cnf(284437,plain,(multiplication(antidomain(addition(X1,antidomain(antidomain(X2)))),one)=multiplication(antidomain(addition(X1,antidomain(antidomain(X2)))),antidomain(X2))),inference(spm,[status(thm)],[3341,119,theory(equality)])).
% cnf(284858,plain,(antidomain(addition(X1,antidomain(antidomain(X2))))=multiplication(antidomain(addition(X1,antidomain(antidomain(X2)))),antidomain(X2))),inference(rw,[status(thm)],[284437,60,theory(equality)])).
% cnf(360212,plain,(antidomain(addition(antidomain(antidomain(X1)),X2))=multiplication(antidomain(addition(antidomain(antidomain(X1)),X2)),antidomain(X1))),inference(rw,[status(thm)],[inference(rw,[status(thm)],[3025,3341,theory(equality)]),60,theory(equality)])).
% cnf(360331,plain,(leq(antidomain(addition(antidomain(antidomain(X1)),X2)),antidomain(X1))),inference(spm,[status(thm)],[4446,360212,theory(equality)])).
% cnf(360374,plain,(antidomain(addition(antidomain(antidomain(antidomain(X1))),X1))=zero),inference(spm,[status(thm)],[88909,360212,theory(equality)])).
% cnf(360629,plain,(antidomain(addition(X1,antidomain(X1)))=zero),inference(rw,[status(thm)],[inference(rw,[status(thm)],[360374,6049,theory(equality)]),24,theory(equality)])).
% cnf(366370,plain,(leq(antidomain(addition(antidomain(coantidomain(X1)),X2)),coantidomain(X1))),inference(spm,[status(thm)],[360331,122870,theory(equality)])).
% cnf(373825,plain,(addition(antidomain(addition(antidomain(coantidomain(X1)),X2)),coantidomain(X1))=coantidomain(X1)),inference(spm,[status(thm)],[42,366370,theory(equality)])).
% cnf(399577,plain,(multiplication(antidomain(multiplication(X1,addition(X2,antidomain(X2)))),multiplication(X1,antidomain(zero)))=zero),inference(spm,[status(thm)],[3534,360629,theory(equality)])).
% cnf(400064,plain,(multiplication(antidomain(multiplication(X1,addition(X2,antidomain(X2)))),X1)=zero),inference(rw,[status(thm)],[inference(rw,[status(thm)],[399577,272,theory(equality)]),60,theory(equality)])).
% cnf(588082,plain,(addition(coantidomain(X1),multiplication(one,coantidomain(X2)))=addition(multiplication(antidomain(coantidomain(X1)),coantidomain(X2)),coantidomain(X1))),inference(spm,[status(thm)],[156366,122655,theory(equality)])).
% cnf(588145,plain,(addition(antidomain(X1),multiplication(one,coantidomain(X2)))=addition(multiplication(antidomain(antidomain(X1)),coantidomain(X2)),antidomain(X1))),inference(spm,[status(thm)],[156366,119,theory(equality)])).
% cnf(589014,plain,(addition(coantidomain(X1),coantidomain(X2))=addition(multiplication(antidomain(coantidomain(X1)),coantidomain(X2)),coantidomain(X1))),inference(rw,[status(thm)],[588082,62,theory(equality)])).
% cnf(589077,plain,(addition(antidomain(X1),coantidomain(X2))=addition(multiplication(antidomain(antidomain(X1)),coantidomain(X2)),antidomain(X1))),inference(rw,[status(thm)],[588145,62,theory(equality)])).
% cnf(590977,plain,(addition(antidomain(X1),multiplication(one,antidomain(X2)))=addition(multiplication(antidomain(antidomain(X1)),antidomain(X2)),antidomain(X1))),inference(spm,[status(thm)],[160653,119,theory(equality)])).
% cnf(591924,plain,(addition(antidomain(X1),antidomain(X2))=addition(multiplication(antidomain(antidomain(X1)),antidomain(X2)),antidomain(X1))),inference(rw,[status(thm)],[590977,62,theory(equality)])).
% cnf(594294,plain,(addition(coantidomain(X1),antidomain(addition(antidomain(coantidomain(X1)),X2)))=coantidomain(X1)),inference(rw,[status(thm)],[373825,24,theory(equality)])).
% cnf(594361,plain,(multiplication(antidomain(antidomain(coantidomain(X1))),antidomain(addition(antidomain(coantidomain(X1)),X2)))=antidomain(addition(antidomain(coantidomain(X1)),X2))),inference(spm,[status(thm)],[88445,594294,theory(equality)])).
% cnf(594968,plain,(multiplication(coantidomain(X1),antidomain(addition(antidomain(coantidomain(X1)),X2)))=antidomain(addition(antidomain(coantidomain(X1)),X2))),inference(rw,[status(thm)],[594361,122870,theory(equality)])).
% cnf(627686,plain,(addition(antidomain(coantidomain(X1)),multiplication(antidomain(X2),one))=addition(multiplication(antidomain(X2),coantidomain(X1)),antidomain(coantidomain(X1)))),inference(spm,[status(thm)],[240660,122655,theory(equality)])).
% cnf(627759,plain,(addition(antidomain(antidomain(X1)),multiplication(antidomain(X2),one))=addition(multiplication(antidomain(X2),antidomain(X1)),antidomain(antidomain(X1)))),inference(spm,[status(thm)],[240660,119,theory(equality)])).
% cnf(628586,plain,(addition(antidomain(coantidomain(X1)),antidomain(X2))=addition(multiplication(antidomain(X2),coantidomain(X1)),antidomain(coantidomain(X1)))),inference(rw,[status(thm)],[627686,60,theory(equality)])).
% cnf(628627,plain,(addition(antidomain(antidomain(X1)),antidomain(X2))=addition(multiplication(antidomain(X2),antidomain(X1)),antidomain(antidomain(X1)))),inference(rw,[status(thm)],[627759,60,theory(equality)])).
% cnf(1093568,plain,(addition(coantidomain(X1),multiplication(antidomain(coantidomain(X1)),coantidomain(X2)))=addition(coantidomain(X1),coantidomain(X2))),inference(rw,[status(thm)],[589014,24,theory(equality)])).
% cnf(1094289,plain,(addition(coantidomain(X1),zero)=addition(coantidomain(X1),coantidomain(addition(X2,X1)))),inference(spm,[status(thm)],[1093568,122625,theory(equality)])).
% cnf(1094290,plain,(addition(coantidomain(X1),zero)=addition(coantidomain(X1),coantidomain(addition(X1,X2)))),inference(spm,[status(thm)],[1093568,122626,theory(equality)])).
% cnf(1094997,plain,(coantidomain(X1)=addition(coantidomain(X1),coantidomain(addition(X2,X1)))),inference(rw,[status(thm)],[1094289,38,theory(equality)])).
% cnf(1094998,plain,(coantidomain(X1)=addition(coantidomain(X1),coantidomain(addition(X1,X2)))),inference(rw,[status(thm)],[1094290,38,theory(equality)])).
% cnf(1096548,plain,(leq(coantidomain(addition(X1,X2)),coantidomain(X2))),inference(spm,[status(thm)],[80,1094997,theory(equality)])).
% cnf(1098432,plain,(leq(coantidomain(addition(X1,addition(X2,X3))),coantidomain(X3))),inference(spm,[status(thm)],[1096548,26,theory(equality)])).
% cnf(1099467,plain,(multiplication(antidomain(antidomain(coantidomain(X1))),coantidomain(addition(X1,X2)))=coantidomain(addition(X1,X2))),inference(spm,[status(thm)],[88445,1094998,theory(equality)])).
% cnf(1100443,plain,(multiplication(coantidomain(X1),coantidomain(addition(X1,X2)))=coantidomain(addition(X1,X2))),inference(rw,[status(thm)],[1099467,122870,theory(equality)])).
% cnf(1108759,plain,(addition(coantidomain(X1),addition(coantidomain(addition(X1,X2)),antidomain(coantidomain(addition(X1,X2)))))=multiplication(addition(antidomain(coantidomain(addition(X1,X2))),coantidomain(X1)),addition(coantidomain(addition(X1,X2)),one))),inference(spm,[status(thm)],[126364,1100443,theory(equality)])).
% cnf(1109354,plain,(one=multiplication(addition(antidomain(coantidomain(addition(X1,X2))),coantidomain(X1)),addition(coantidomain(addition(X1,X2)),one))),inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1108759,122655,theory(equality)]),24,theory(equality)]),339,theory(equality)])).
% cnf(1109355,plain,(one=addition(antidomain(coantidomain(addition(X1,X2))),coantidomain(X1))),inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1109354,24,theory(equality)]),339,theory(equality)]),60,theory(equality)])).
% cnf(1114836,plain,(leq(coantidomain(addition(X2,X1)),coantidomain(multiplication(X1,coantidomain(X3))))),inference(spm,[status(thm)],[1098432,156871,theory(equality)])).
% cnf(1130422,plain,(addition(coantidomain(X1),antidomain(coantidomain(addition(X1,X2))))=one),inference(rw,[status(thm)],[1109355,24,theory(equality)])).
% cnf(1139427,plain,(addition(antidomain(X1),multiplication(antidomain(antidomain(X1)),coantidomain(X2)))=addition(antidomain(X1),coantidomain(X2))),inference(rw,[status(thm)],[589077,24,theory(equality)])).
% cnf(1139999,plain,(multiplication(addition(antidomain(X1),coantidomain(X2)),X1)=multiplication(multiplication(antidomain(antidomain(X1)),coantidomain(X2)),X1)),inference(spm,[status(thm)],[4477,1139427,theory(equality)])).
% cnf(1140653,plain,(multiplication(coantidomain(X2),X1)=multiplication(multiplication(antidomain(antidomain(X1)),coantidomain(X2)),X1)),inference(rw,[status(thm)],[1139999,4477,theory(equality)])).
% cnf(1140654,plain,(multiplication(coantidomain(X2),X1)=multiplication(antidomain(antidomain(X1)),multiplication(coantidomain(X2),X1))),inference(rw,[status(thm)],[1140653,32,theory(equality)])).
% cnf(1157035,plain,(leq(coantidomain(X1),coantidomain(multiplication(X1,coantidomain(X2))))),inference(spm,[status(thm)],[1114836,72,theory(equality)])).
% cnf(1157657,plain,(leq(coantidomain(X1),coantidomain(multiplication(X1,antidomain(coantidomain(X2)))))),inference(spm,[status(thm)],[1157035,122465,theory(equality)])).
% cnf(1162222,plain,(leq(coantidomain(X1),coantidomain(multiplication(X1,antidomain(antidomain(antidomain(X2))))))),inference(spm,[status(thm)],[1157657,208817,theory(equality)])).
% cnf(1162454,plain,(leq(coantidomain(X1),coantidomain(multiplication(X1,antidomain(X2))))),inference(rw,[status(thm)],[1162222,6049,theory(equality)])).
% cnf(1162655,plain,(addition(coantidomain(X1),coantidomain(multiplication(X1,antidomain(X2))))=coantidomain(multiplication(X1,antidomain(X2)))),inference(spm,[status(thm)],[42,1162454,theory(equality)])).
% cnf(1164660,plain,(addition(coantidomain(coantidomain(X1)),antidomain(coantidomain(coantidomain(multiplication(X1,antidomain(X2))))))=one),inference(spm,[status(thm)],[1130422,1162655,theory(equality)])).
% cnf(1165580,plain,(addition(antidomain(coantidomain(X1)),coantidomain(multiplication(X1,antidomain(X2))))=one),inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1164660,122465,theory(equality)]),122465,theory(equality)]),122870,theory(equality)])).
% cnf(1220809,plain,(multiplication(multiplication(X1,antidomain(X2)),one)=multiplication(multiplication(X1,antidomain(X2)),antidomain(coantidomain(X1)))),inference(spm,[status(thm)],[154,1165580,theory(equality)])).
% cnf(1221742,plain,(multiplication(X1,antidomain(X2))=multiplication(multiplication(X1,antidomain(X2)),antidomain(coantidomain(X1)))),inference(rw,[status(thm)],[inference(rw,[status(thm)],[1220809,32,theory(equality)]),60,theory(equality)])).
% cnf(1221743,plain,(multiplication(X1,antidomain(X2))=multiplication(X1,multiplication(antidomain(X2),antidomain(coantidomain(X1))))),inference(rw,[status(thm)],[1221742,32,theory(equality)])).
% cnf(1223308,plain,(multiplication(antidomain(X1),multiplication(antidomain(X2),antidomain(antidomain(antidomain(X1)))))=multiplication(antidomain(X1),antidomain(X2))),inference(spm,[status(thm)],[1221743,208817,theory(equality)])).
% cnf(1223929,plain,(multiplication(antidomain(X1),multiplication(antidomain(X2),antidomain(X1)))=multiplication(antidomain(X1),antidomain(X2))),inference(rw,[status(thm)],[1223308,6049,theory(equality)])).
% cnf(1228039,plain,(multiplication(antidomain(antidomain(X1)),zero)=multiplication(antidomain(antidomain(X1)),antidomain(addition(X1,X2)))),inference(spm,[status(thm)],[1223929,88520,theory(equality)])).
% cnf(1228044,plain,(multiplication(antidomain(antidomain(multiplication(X1,X2))),zero)=multiplication(antidomain(antidomain(multiplication(X1,X2))),antidomain(X1))),inference(spm,[status(thm)],[1223929,40227,theory(equality)])).
% cnf(1228596,plain,(zero=multiplication(antidomain(antidomain(X1)),antidomain(addition(X1,X2)))),inference(rw,[status(thm)],[1228039,54,theory(equality)])).
% cnf(1228604,plain,(zero=multiplication(antidomain(antidomain(multiplication(X1,X2))),antidomain(X1))),inference(rw,[status(thm)],[1228044,54,theory(equality)])).
% cnf(1247783,plain,(addition(antidomain(X1),multiplication(antidomain(antidomain(X1)),antidomain(X2)))=addition(antidomain(X1),antidomain(X2))),inference(rw,[status(thm)],[591924,24,theory(equality)])).
% cnf(1248625,plain,(addition(antidomain(X1),zero)=addition(antidomain(X1),antidomain(addition(X1,X2)))),inference(spm,[status(thm)],[1247783,1228596,theory(equality)])).
% cnf(1248627,plain,(addition(antidomain(multiplication(X1,X2)),zero)=addition(antidomain(multiplication(X1,X2)),antidomain(X1))),inference(spm,[status(thm)],[1247783,1228604,theory(equality)])).
% cnf(1249471,plain,(antidomain(X1)=addition(antidomain(X1),antidomain(addition(X1,X2)))),inference(rw,[status(thm)],[1248625,38,theory(equality)])).
% cnf(1249473,plain,(antidomain(multiplication(X1,X2))=addition(antidomain(multiplication(X1,X2)),antidomain(X1))),inference(rw,[status(thm)],[1248627,38,theory(equality)])).
% cnf(1249474,plain,(antidomain(multiplication(X1,X2))=addition(antidomain(X1),antidomain(multiplication(X1,X2)))),inference(rw,[status(thm)],[1249473,24,theory(equality)])).
% cnf(1249710,plain,(multiplication(antidomain(antidomain(antidomain(X1))),antidomain(addition(X1,X2)))=antidomain(addition(X1,X2))),inference(spm,[status(thm)],[88445,1249471,theory(equality)])).
% cnf(1250803,plain,(multiplication(antidomain(X1),antidomain(addition(X1,X2)))=antidomain(addition(X1,X2))),inference(rw,[status(thm)],[1249710,6049,theory(equality)])).
% cnf(1255495,plain,(addition(antidomain(antidomain(antidomain(X1))),antidomain(multiplication(coantidomain(X2),X1)))=antidomain(multiplication(coantidomain(X2),X1))),inference(spm,[status(thm)],[1249474,1140654,theory(equality)])).
% cnf(1256585,plain,(addition(antidomain(X1),antidomain(multiplication(coantidomain(X2),X1)))=antidomain(multiplication(coantidomain(X2),X1))),inference(rw,[status(thm)],[1255495,6049,theory(equality)])).
% cnf(1608588,plain,(addition(antidomain(coantidomain(X1)),multiplication(antidomain(X2),coantidomain(X1)))=addition(antidomain(coantidomain(X1)),antidomain(X2))),inference(rw,[status(thm)],[628586,24,theory(equality)])).
% cnf(1616992,plain,(addition(antidomain(antidomain(X1)),multiplication(antidomain(X2),antidomain(X1)))=addition(antidomain(antidomain(X1)),antidomain(X2))),inference(rw,[status(thm)],[628627,24,theory(equality)])).
% cnf(1617888,plain,(addition(antidomain(antidomain(X1)),zero)=addition(antidomain(antidomain(X1)),antidomain(multiplication(antidomain(X1),addition(X2,antidomain(X2)))))),inference(spm,[status(thm)],[1616992,400064,theory(equality)])).
% cnf(1618807,plain,(antidomain(antidomain(X1))=addition(antidomain(antidomain(X1)),antidomain(multiplication(antidomain(X1),addition(X2,antidomain(X2)))))),inference(rw,[status(thm)],[1617888,38,theory(equality)])).
% cnf(1618808,plain,(antidomain(antidomain(X1))=antidomain(multiplication(antidomain(X1),addition(X2,antidomain(X2))))),inference(rw,[status(thm)],[1618807,1249474,theory(equality)])).
% cnf(1620056,plain,(antidomain(multiplication(antidomain(addition(X1,antidomain(X2))),X2))=antidomain(antidomain(addition(X1,antidomain(X2))))),inference(spm,[status(thm)],[1618808,3341,theory(equality)])).
% cnf(1699938,plain,(multiplication(addition(antidomain(coantidomain(X1)),antidomain(multiplication(coantidomain(X1),X2))),X2)=multiplication(antidomain(coantidomain(X1)),X2)),inference(spm,[status(thm)],[8865,1608588,theory(equality)])).
% cnf(1699941,plain,(multiplication(addition(antidomain(antidomain(X1)),antidomain(multiplication(antidomain(X1),X2))),X2)=multiplication(antidomain(antidomain(X1)),X2)),inference(spm,[status(thm)],[8865,1616992,theory(equality)])).
% cnf(1700981,plain,(multiplication(antidomain(multiplication(coantidomain(X1),X2)),X2)=multiplication(antidomain(coantidomain(X1)),X2)),inference(rw,[status(thm)],[1699938,1249474,theory(equality)])).
% cnf(1700982,plain,(multiplication(antidomain(multiplication(antidomain(X1),X2)),X2)=multiplication(antidomain(antidomain(X1)),X2)),inference(rw,[status(thm)],[1699941,1249474,theory(equality)])).
% cnf(1701616,plain,(addition(antidomain(coantidomain(X1)),multiplication(antidomain(coantidomain(X2)),coantidomain(X1)))=addition(antidomain(coantidomain(X1)),antidomain(multiplication(coantidomain(X2),coantidomain(X1))))),inference(spm,[status(thm)],[1608588,1700981,theory(equality)])).
% cnf(1701672,plain,(addition(antidomain(antidomain(X1)),multiplication(antidomain(coantidomain(X2)),antidomain(X1)))=addition(antidomain(antidomain(X1)),antidomain(multiplication(coantidomain(X2),antidomain(X1))))),inference(spm,[status(thm)],[1616992,1700981,theory(equality)])).
% cnf(1702348,plain,(addition(antidomain(coantidomain(X1)),antidomain(coantidomain(X2)))=addition(antidomain(coantidomain(X1)),antidomain(multiplication(coantidomain(X2),coantidomain(X1))))),inference(rw,[status(thm)],[1701616,1608588,theory(equality)])).
% cnf(1702349,plain,(addition(antidomain(coantidomain(X1)),antidomain(coantidomain(X2)))=antidomain(multiplication(coantidomain(X2),coantidomain(X1)))),inference(rw,[status(thm)],[1702348,1256585,theory(equality)])).
% cnf(1702400,plain,(addition(antidomain(antidomain(X1)),antidomain(coantidomain(X2)))=addition(antidomain(antidomain(X1)),antidomain(multiplication(coantidomain(X2),antidomain(X1))))),inference(rw,[status(thm)],[1701672,1616992,theory(equality)])).
% cnf(1702401,plain,(addition(antidomain(antidomain(X1)),antidomain(coantidomain(X2)))=antidomain(multiplication(coantidomain(X2),antidomain(X1)))),inference(rw,[status(thm)],[1702400,1256585,theory(equality)])).
% cnf(1703640,plain,(addition(antidomain(coantidomain(X1)),antidomain(antidomain(antidomain(X2))))=antidomain(multiplication(antidomain(antidomain(X2)),coantidomain(X1)))),inference(spm,[status(thm)],[1702349,208817,theory(equality)])).
% cnf(1704316,plain,(addition(antidomain(coantidomain(X1)),antidomain(X2))=antidomain(multiplication(antidomain(antidomain(X2)),coantidomain(X1)))),inference(rw,[status(thm)],[1703640,6049,theory(equality)])).
% cnf(1705331,plain,(addition(antidomain(antidomain(X1)),antidomain(antidomain(coantidomain(X2))))=antidomain(multiplication(antidomain(coantidomain(X2)),antidomain(X1)))),inference(spm,[status(thm)],[1702401,122465,theory(equality)])).
% cnf(1705969,plain,(addition(antidomain(antidomain(X1)),coantidomain(X2))=antidomain(multiplication(antidomain(coantidomain(X2)),antidomain(X1)))),inference(rw,[status(thm)],[1705331,122870,theory(equality)])).
% cnf(1723496,plain,(antidomain(multiplication(antidomain(antidomain(antidomain(X1))),antidomain(X2)))=addition(antidomain(antidomain(X2)),antidomain(antidomain(X1)))),inference(spm,[status(thm)],[1705969,208817,theory(equality)])).
% cnf(1724111,plain,(antidomain(multiplication(antidomain(X1),antidomain(X2)))=addition(antidomain(antidomain(X2)),antidomain(antidomain(X1)))),inference(rw,[status(thm)],[1723496,6049,theory(equality)])).
% cnf(1753883,negated_conjecture,(antidomain(multiplication(antidomain(esk2_0),antidomain(esk1_0)))!=antidomain(antidomain(addition(esk1_0,esk2_0)))),inference(rw,[status(thm)],[69,1724111,theory(equality)])).
% cnf(1767431,plain,(multiplication(antidomain(multiplication(antidomain(antidomain(X1)),X2)),X2)=multiplication(antidomain(antidomain(multiplication(antidomain(X1),X2))),X2)),inference(spm,[status(thm)],[1700982,1700982,theory(equality)])).
% cnf(1768385,plain,(multiplication(antidomain(X1),X2)=multiplication(antidomain(antidomain(multiplication(antidomain(X1),X2))),X2)),inference(rw,[status(thm)],[inference(rw,[status(thm)],[1767431,1700982,theory(equality)]),6049,theory(equality)])).
% cnf(1796149,plain,(multiplication(antidomain(addition(antidomain(coantidomain(X2)),antidomain(X1))),coantidomain(X2))=multiplication(antidomain(antidomain(X1)),coantidomain(X2))),inference(spm,[status(thm)],[1768385,1704316,theory(equality)])).
% cnf(1797203,plain,(antidomain(addition(antidomain(coantidomain(X2)),antidomain(X1)))=multiplication(antidomain(antidomain(X1)),coantidomain(X2))),inference(rw,[status(thm)],[1796149,206947,theory(equality)])).
% cnf(1798102,plain,(antidomain(multiplication(multiplication(antidomain(antidomain(X2)),coantidomain(X1)),X2))=antidomain(multiplication(antidomain(antidomain(X2)),coantidomain(X1)))),inference(spm,[status(thm)],[1620056,1797203,theory(equality)])).
% cnf(1798968,plain,(antidomain(multiplication(coantidomain(X1),X2))=antidomain(multiplication(antidomain(antidomain(X2)),coantidomain(X1)))),inference(rw,[status(thm)],[inference(rw,[status(thm)],[1798102,32,theory(equality)]),1140654,theory(equality)])).
% cnf(1798969,plain,(antidomain(multiplication(coantidomain(X1),X2))=addition(antidomain(coantidomain(X1)),antidomain(X2))),inference(rw,[status(thm)],[1798968,1704316,theory(equality)])).
% cnf(1799351,plain,(multiplication(antidomain(antidomain(coantidomain(X1))),antidomain(multiplication(coantidomain(X1),X2)))=multiplication(antidomain(antidomain(coantidomain(X1))),antidomain(X2))),inference(spm,[status(thm)],[3035,1798969,theory(equality)])).
% cnf(1800279,plain,(addition(antidomain(antidomain(coantidomain(X1))),antidomain(X2))=antidomain(multiplication(antidomain(coantidomain(X1)),X2))),inference(spm,[status(thm)],[1798969,122465,theory(equality)])).
% cnf(1800345,plain,(antidomain(antidomain(multiplication(coantidomain(X1),X2)))=multiplication(antidomain(antidomain(X2)),coantidomain(X1))),inference(rw,[status(thm)],[1797203,1798969,theory(equality)])).
% cnf(1800370,plain,(multiplication(coantidomain(X1),antidomain(multiplication(coantidomain(X1),X2)))=multiplication(antidomain(antidomain(coantidomain(X1))),antidomain(X2))),inference(rw,[status(thm)],[1799351,122870,theory(equality)])).
% cnf(1800371,plain,(multiplication(coantidomain(X1),antidomain(multiplication(coantidomain(X1),X2)))=multiplication(coantidomain(X1),antidomain(X2))),inference(rw,[status(thm)],[1800370,122870,theory(equality)])).
% cnf(1800967,plain,(addition(coantidomain(X1),antidomain(X2))=antidomain(multiplication(antidomain(coantidomain(X1)),X2))),inference(rw,[status(thm)],[1800279,122870,theory(equality)])).
% cnf(1802067,plain,(antidomain(antidomain(multiplication(antidomain(coantidomain(X1)),X2)))=multiplication(antidomain(antidomain(X2)),antidomain(coantidomain(X1)))),inference(spm,[status(thm)],[1800345,122465,theory(equality)])).
% cnf(1806141,plain,(antidomain(multiplication(antidomain(antidomain(antidomain(X1))),X2))=addition(antidomain(antidomain(X1)),antidomain(X2))),inference(spm,[status(thm)],[1800967,208817,theory(equality)])).
% cnf(1806805,plain,(antidomain(multiplication(antidomain(X1),X2))=addition(antidomain(antidomain(X1)),antidomain(X2))),inference(rw,[status(thm)],[1806141,6049,theory(equality)])).
% cnf(1809889,plain,(multiplication(antidomain(antidomain(multiplication(antidomain(X1),antidomain(X2)))),antidomain(X2))=antidomain(antidomain(multiplication(antidomain(X1),antidomain(X2))))),inference(spm,[status(thm)],[284858,1806805,theory(equality)])).
% cnf(1810582,plain,(multiplication(antidomain(X1),antidomain(X2))=antidomain(antidomain(multiplication(antidomain(X1),antidomain(X2))))),inference(rw,[status(thm)],[1809889,1768385,theory(equality)])).
% cnf(1830128,plain,(antidomain(addition(coantidomain(X1),antidomain(X2)))=multiplication(antidomain(antidomain(X2)),antidomain(coantidomain(X1)))),inference(rw,[status(thm)],[1802067,1800967,theory(equality)])).
% cnf(1830587,plain,(multiplication(antidomain(antidomain(X1)),antidomain(antidomain(antidomain(X2))))=antidomain(addition(antidomain(antidomain(X2)),antidomain(X1)))),inference(spm,[status(thm)],[1830128,208817,theory(equality)])).
% cnf(1831125,plain,(multiplication(antidomain(antidomain(X1)),antidomain(X2))=antidomain(addition(antidomain(antidomain(X2)),antidomain(X1)))),inference(rw,[status(thm)],[1830587,6049,theory(equality)])).
% cnf(1831126,plain,(multiplication(antidomain(antidomain(X1)),antidomain(X2))=antidomain(antidomain(multiplication(antidomain(X2),X1)))),inference(rw,[status(thm)],[1831125,1806805,theory(equality)])).
% cnf(1846669,plain,(multiplication(antidomain(X2),antidomain(X1))=multiplication(antidomain(X1),antidomain(X2))),inference(rw,[status(thm)],[inference(rw,[status(thm)],[1810582,1831126,theory(equality)]),6049,theory(equality)])).
% cnf(1848028,negated_conjecture,(antidomain(multiplication(antidomain(esk1_0),antidomain(esk2_0)))!=antidomain(antidomain(addition(esk1_0,esk2_0)))),inference(rw,[status(thm)],[1753883,1846669,theory(equality)])).
% cnf(1882432,plain,(multiplication(coantidomain(X1),antidomain(multiplication(coantidomain(X1),X2)))=multiplication(coantidomain(X1),antidomain(addition(coantidomain(coantidomain(X1)),X2)))),inference(spm,[status(thm)],[1800371,3636,theory(equality)])).
% cnf(1883124,plain,(multiplication(coantidomain(X1),antidomain(X2))=multiplication(coantidomain(X1),antidomain(addition(coantidomain(coantidomain(X1)),X2)))),inference(rw,[status(thm)],[1882432,1800371,theory(equality)])).
% cnf(1883125,plain,(multiplication(coantidomain(X1),antidomain(X2))=antidomain(addition(antidomain(coantidomain(X1)),X2))),inference(rw,[status(thm)],[inference(rw,[status(thm)],[1883124,122465,theory(equality)]),594968,theory(equality)])).
% cnf(1884215,plain,(antidomain(addition(antidomain(antidomain(coantidomain(X1))),X2))=multiplication(antidomain(coantidomain(X1)),antidomain(X2))),inference(spm,[status(thm)],[1883125,122465,theory(equality)])).
% cnf(1884237,plain,(antidomain(addition(antidomain(antidomain(antidomain(X1))),X2))=multiplication(antidomain(antidomain(X1)),antidomain(X2))),inference(spm,[status(thm)],[1883125,208817,theory(equality)])).
% cnf(1884916,plain,(antidomain(addition(coantidomain(X1),X2))=multiplication(antidomain(coantidomain(X1)),antidomain(X2))),inference(rw,[status(thm)],[1884215,122870,theory(equality)])).
% cnf(1884955,plain,(antidomain(addition(antidomain(X1),X2))=multiplication(antidomain(antidomain(X1)),antidomain(X2))),inference(rw,[status(thm)],[1884237,6049,theory(equality)])).
% cnf(1887969,plain,(multiplication(antidomain(antidomain(antidomain(X1))),antidomain(X2))=antidomain(addition(antidomain(antidomain(X1)),X2))),inference(spm,[status(thm)],[1884916,208817,theory(equality)])).
% cnf(1888494,plain,(multiplication(antidomain(X1),antidomain(X2))=antidomain(addition(antidomain(antidomain(X1)),X2))),inference(rw,[status(thm)],[1887969,6049,theory(equality)])).
% cnf(1889218,plain,(antidomain(antidomain(multiplication(antidomain(X1),X2)))=antidomain(addition(antidomain(X2),X1))),inference(rw,[status(thm)],[1831126,1884955,theory(equality)])).
% cnf(1892766,plain,(antidomain(addition(X2,antidomain(antidomain(X1))))=multiplication(antidomain(X1),antidomain(X2))),inference(spm,[status(thm)],[1888494,24,theory(equality)])).
% cnf(1894694,plain,(antidomain(antidomain(multiplication(antidomain(X1),X2)))=antidomain(addition(antidomain(addition(X2,X1)),X1))),inference(spm,[status(thm)],[1889218,153,theory(equality)])).
% cnf(1894695,plain,(antidomain(antidomain(multiplication(antidomain(X1),X2)))=antidomain(addition(antidomain(addition(X1,X2)),X1))),inference(spm,[status(thm)],[1889218,3035,theory(equality)])).
% cnf(1895712,plain,(antidomain(addition(antidomain(X2),X1))=antidomain(addition(antidomain(addition(X2,X1)),X1))),inference(rw,[status(thm)],[inference(rw,[status(thm)],[1894694,1831126,theory(equality)]),1884955,theory(equality)])).
% cnf(1895713,plain,(antidomain(addition(antidomain(X2),X1))=antidomain(addition(X1,antidomain(addition(X2,X1))))),inference(rw,[status(thm)],[1895712,24,theory(equality)])).
% cnf(1895714,plain,(antidomain(addition(antidomain(X2),X1))=antidomain(addition(antidomain(addition(X1,X2)),X1))),inference(rw,[status(thm)],[inference(rw,[status(thm)],[1894695,1831126,theory(equality)]),1884955,theory(equality)])).
% cnf(1895715,plain,(antidomain(addition(antidomain(X2),X1))=antidomain(addition(X1,antidomain(addition(X1,X2))))),inference(rw,[status(thm)],[1895714,24,theory(equality)])).
% cnf(1915725,plain,(antidomain(addition(X1,antidomain(addition(antidomain(X2),X1))))=antidomain(addition(antidomain(antidomain(addition(X1,X2))),X1))),inference(spm,[status(thm)],[1895715,1895715,theory(equality)])).
% cnf(1916815,plain,(multiplication(antidomain(X2),antidomain(X1))=antidomain(addition(antidomain(antidomain(addition(X1,X2))),X1))),inference(rw,[status(thm)],[inference(rw,[status(thm)],[1915725,1895713,theory(equality)]),1888494,theory(equality)])).
% cnf(1916816,plain,(multiplication(antidomain(X2),antidomain(X1))=antidomain(addition(X1,X2))),inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1916815,24,theory(equality)]),1892766,theory(equality)]),1846669,theory(equality)]),1250803,theory(equality)])).
% cnf(1918719,negated_conjecture,($false),inference(rw,[status(thm)],[inference(rw,[status(thm)],[1848028,1916816,theory(equality)]),24,theory(equality)])).
% cnf(1918720,negated_conjecture,($false),inference(cn,[status(thm)],[1918719,theory(equality)])).
% cnf(1918721,negated_conjecture,($false),1918720,['proof']).
% # SZS output end CNFRefutation
% # Processed clauses : 26081
% # ...of these trivial : 7699
% # ...subsumed : 16074
% # ...remaining for further processing: 2308
% # Other redundant clauses eliminated : 0
% # Clauses deleted for lack of memory : 0
% # Backward-subsumed : 2
% # Backward-rewritten : 645
% # Generated clauses : 993473
% # ...of the previous two non-trivial : 537292
% # Contextual simplify-reflections : 0
% # Paramodulations : 993472
% # Factorizations : 0
% # Equation resolutions : 1
% # Current number of processed clauses: 1661
% # Positive orientable unit clauses: 1321
% # Positive unorientable unit clauses: 23
% # Negative unit clauses : 0
% # Non-unit-clauses : 317
% # Current number of unprocessed clauses: 378129
% # ...number of literals in the above : 476438
% # Clause-clause subsumption calls (NU) : 74962
% # Rec. Clause-clause subsumption calls : 74962
% # Unit Clause-clause subsumption calls : 1126
% # Rewrite failures with RHS unbound : 0
% # Indexed BW rewrite attempts : 12469
% # Indexed BW rewrite successes : 830
% # Backwards rewriting index: 831 leaves, 3.55+/-4.326 terms/leaf
% # Paramod-from index: 508 leaves, 2.68+/-2.785 terms/leaf
% # Paramod-into index: 722 leaves, 3.44+/-4.079 terms/leaf
% # -------------------------------------------------
% # User time : 30.188 s
% # System time : 1.149 s
% # Total time : 31.337 s
% # Maximum resident set size: 0 pages
% PrfWatch: 58.88 CPU 60.89 WC
% FINAL PrfWatch: 58.88 CPU 60.89 WC
% SZS output end Solution for /tmp/SystemOnTPTP17495/KLE087+1.tptp
%
%------------------------------------------------------------------------------