TSTP Solution File: KLE084+1 by SRASS---0.1
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- Process Solution
%------------------------------------------------------------------------------
% File : SRASS---0.1
% Problem : KLE084+1 : TPTP v5.0.0. Released v4.0.0.
% Transfm : none
% Format : tptp
% Command : SRASS -q2 -a 0 10 10 10 -i3 -n60 %s
% Computer : art11.cs.miami.edu
% Model : i686 i686
% CPU : Intel(R) Pentium(R) 4 CPU 3.00GHz @ 3000MHz
% Memory : 2006MB
% OS : Linux 2.6.31.5-127.fc12.i686.PAE
% CPULimit : 300s
% DateTime : Wed Dec 29 07:58:54 EST 2010
% Result : Theorem 55.78s
% Output : Solution 55.78s
% 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/SystemOnTPTP22313/KLE084+1.tptp
% Adding relevance values
% Extracting the conjecture
% Sorting axioms by relevance
% Looking for THM ...
% found
% SZS status THM for /tmp/SystemOnTPTP22313/KLE084+1.tptp
% SZS output start Solution for /tmp/SystemOnTPTP22313/KLE084+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 22445
% TreeLimitedRun: ----------------------------------------------------------
% PrfWatch: 0.00 CPU 0.01 WC
% PrfWatch: 1.94 CPU 2.01 WC
% PrfWatch: 3.93 CPU 4.02 WC
% PrfWatch: 5.92 CPU 6.03 WC
% PrfWatch: 7.91 CPU 8.03 WC
% PrfWatch: 9.91 CPU 10.04 WC
% PrfWatch: 11.90 CPU 12.05 WC
% PrfWatch: 13.90 CPU 14.05 WC
% PrfWatch: 15.89 CPU 16.06 WC
% PrfWatch: 17.88 CPU 18.07 WC
% PrfWatch: 19.86 CPU 20.07 WC
% PrfWatch: 21.84 CPU 22.08 WC
% PrfWatch: 23.82 CPU 24.09 WC
% PrfWatch: 25.79 CPU 26.09 WC
% PrfWatch: 27.78 CPU 28.10 WC
% PrfWatch: 29.76 CPU 30.11 WC
% # Preprocessing time : 0.010 s
% # Problem is unsatisfiable (or provable), constructing proof object
% # SZS status Theorem
% PrfWatch: 31.74 CPU 32.11 WC
% PrfWatch: 33.73 CPU 34.12 WC
% PrfWatch: 35.72 CPU 36.12 WC
% PrfWatch: 37.71 CPU 38.13 WC
% PrfWatch: 39.71 CPU 40.14 WC
% PrfWatch: 41.68 CPU 42.14 WC
% PrfWatch: 43.68 CPU 44.15 WC
% PrfWatch: 45.67 CPU 46.16 WC
% PrfWatch: 47.67 CPU 48.16 WC
% PrfWatch: 49.65 CPU 50.17 WC
% PrfWatch: 51.65 CPU 52.18 WC
% PrfWatch: 53.65 CPU 54.18 WC
% # SZS output start CNFRefutation.
% fof(1, axiom,![X1]:![X2]:![X3]:multiplication(X1,multiplication(X2,X3))=multiplication(multiplication(X1,X2),X3),file('/tmp/SRASS.s.p', multiplicative_associativity)).
% fof(2, axiom,![X4]:domain(X4)=antidomain(antidomain(X4)),file('/tmp/SRASS.s.p', domain4)).
% fof(3, axiom,![X1]:![X2]:addition(X1,X2)=addition(X2,X1),file('/tmp/SRASS.s.p', additive_commutativity)).
% fof(4, axiom,![X3]:![X2]:![X1]:addition(X1,addition(X2,X3))=addition(addition(X1,X2),X3),file('/tmp/SRASS.s.p', additive_associativity)).
% fof(5, axiom,![X1]:addition(X1,X1)=X1,file('/tmp/SRASS.s.p', additive_idempotence)).
% 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(9, axiom,![X1]:multiplication(zero,X1)=zero,file('/tmp/SRASS.s.p', left_annihilation)).
% fof(10, axiom,![X1]:multiplication(X1,one)=X1,file('/tmp/SRASS.s.p', multiplicative_right_identity)).
% fof(11, axiom,![X1]:multiplication(one,X1)=X1,file('/tmp/SRASS.s.p', multiplicative_left_identity)).
% fof(12, axiom,![X4]:multiplication(X4,coantidomain(X4))=zero,file('/tmp/SRASS.s.p', codomain1)).
% fof(13, 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(14, 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(15, axiom,![X4]:multiplication(antidomain(X4),X4)=zero,file('/tmp/SRASS.s.p', domain1)).
% fof(16, axiom,![X4]:addition(antidomain(antidomain(X4)),antidomain(X4))=one,file('/tmp/SRASS.s.p', domain3)).
% fof(17, axiom,![X4]:addition(coantidomain(coantidomain(X4)),coantidomain(X4))=one,file('/tmp/SRASS.s.p', codomain3)).
% fof(18, axiom,![X1]:addition(X1,zero)=X1,file('/tmp/SRASS.s.p', additive_identity)).
% fof(19, axiom,![X1]:![X2]:(leq(X1,X2)<=>addition(X1,X2)=X2),file('/tmp/SRASS.s.p', order)).
% fof(21, conjecture,![X4]:![X5]:domain(multiplication(X4,X5))=domain(multiplication(X4,domain(X5))),file('/tmp/SRASS.s.p', goals)).
% fof(22, negated_conjecture,~(![X4]:![X5]:domain(multiplication(X4,X5))=domain(multiplication(X4,domain(X5)))),inference(assume_negation,[status(cth)],[21])).
% fof(23, plain,![X4]:![X5]:![X6]:multiplication(X4,multiplication(X5,X6))=multiplication(multiplication(X4,X5),X6),inference(variable_rename,[status(thm)],[1])).
% cnf(24,plain,(multiplication(X1,multiplication(X2,X3))=multiplication(multiplication(X1,X2),X3)),inference(split_conjunct,[status(thm)],[23])).
% fof(25, plain,![X5]:domain(X5)=antidomain(antidomain(X5)),inference(variable_rename,[status(thm)],[2])).
% cnf(26,plain,(domain(X1)=antidomain(antidomain(X1))),inference(split_conjunct,[status(thm)],[25])).
% fof(27, plain,![X3]:![X4]:addition(X3,X4)=addition(X4,X3),inference(variable_rename,[status(thm)],[3])).
% cnf(28,plain,(addition(X1,X2)=addition(X2,X1)),inference(split_conjunct,[status(thm)],[27])).
% fof(29, plain,![X4]:![X5]:![X6]:addition(X6,addition(X5,X4))=addition(addition(X6,X5),X4),inference(variable_rename,[status(thm)],[4])).
% cnf(30,plain,(addition(X1,addition(X2,X3))=addition(addition(X1,X2),X3)),inference(split_conjunct,[status(thm)],[29])).
% fof(31, plain,![X2]:addition(X2,X2)=X2,inference(variable_rename,[status(thm)],[5])).
% cnf(32,plain,(addition(X1,X1)=X1),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(39, plain,![X2]:multiplication(zero,X2)=zero,inference(variable_rename,[status(thm)],[9])).
% cnf(40,plain,(multiplication(zero,X1)=zero),inference(split_conjunct,[status(thm)],[39])).
% fof(41, plain,![X2]:multiplication(X2,one)=X2,inference(variable_rename,[status(thm)],[10])).
% cnf(42,plain,(multiplication(X1,one)=X1),inference(split_conjunct,[status(thm)],[41])).
% fof(43, plain,![X2]:multiplication(one,X2)=X2,inference(variable_rename,[status(thm)],[11])).
% cnf(44,plain,(multiplication(one,X1)=X1),inference(split_conjunct,[status(thm)],[43])).
% fof(45, plain,![X5]:multiplication(X5,coantidomain(X5))=zero,inference(variable_rename,[status(thm)],[12])).
% cnf(46,plain,(multiplication(X1,coantidomain(X1))=zero),inference(split_conjunct,[status(thm)],[45])).
% fof(47, 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)],[13])).
% cnf(48,plain,(addition(antidomain(multiplication(X1,X2)),antidomain(multiplication(X1,antidomain(antidomain(X2)))))=antidomain(multiplication(X1,antidomain(antidomain(X2))))),inference(split_conjunct,[status(thm)],[47])).
% fof(49, 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)],[14])).
% cnf(50,plain,(addition(coantidomain(multiplication(X1,X2)),coantidomain(multiplication(coantidomain(coantidomain(X1)),X2)))=coantidomain(multiplication(coantidomain(coantidomain(X1)),X2))),inference(split_conjunct,[status(thm)],[49])).
% fof(51, plain,![X5]:multiplication(antidomain(X5),X5)=zero,inference(variable_rename,[status(thm)],[15])).
% cnf(52,plain,(multiplication(antidomain(X1),X1)=zero),inference(split_conjunct,[status(thm)],[51])).
% fof(53, plain,![X5]:addition(antidomain(antidomain(X5)),antidomain(X5))=one,inference(variable_rename,[status(thm)],[16])).
% cnf(54,plain,(addition(antidomain(antidomain(X1)),antidomain(X1))=one),inference(split_conjunct,[status(thm)],[53])).
% fof(55, plain,![X5]:addition(coantidomain(coantidomain(X5)),coantidomain(X5))=one,inference(variable_rename,[status(thm)],[17])).
% cnf(56,plain,(addition(coantidomain(coantidomain(X1)),coantidomain(X1))=one),inference(split_conjunct,[status(thm)],[55])).
% fof(57, plain,![X2]:addition(X2,zero)=X2,inference(variable_rename,[status(thm)],[18])).
% cnf(58,plain,(addition(X1,zero)=X1),inference(split_conjunct,[status(thm)],[57])).
% fof(59, plain,![X1]:![X2]:((~(leq(X1,X2))|addition(X1,X2)=X2)&(~(addition(X1,X2)=X2)|leq(X1,X2))),inference(fof_nnf,[status(thm)],[19])).
% fof(60, plain,![X3]:![X4]:((~(leq(X3,X4))|addition(X3,X4)=X4)&(~(addition(X3,X4)=X4)|leq(X3,X4))),inference(variable_rename,[status(thm)],[59])).
% cnf(61,plain,(leq(X1,X2)|addition(X1,X2)!=X2),inference(split_conjunct,[status(thm)],[60])).
% cnf(62,plain,(addition(X1,X2)=X2|~leq(X1,X2)),inference(split_conjunct,[status(thm)],[60])).
% fof(65, negated_conjecture,?[X4]:?[X5]:~(domain(multiplication(X4,X5))=domain(multiplication(X4,domain(X5)))),inference(fof_nnf,[status(thm)],[22])).
% fof(66, negated_conjecture,?[X6]:?[X7]:~(domain(multiplication(X6,X7))=domain(multiplication(X6,domain(X7)))),inference(variable_rename,[status(thm)],[65])).
% fof(67, negated_conjecture,~(domain(multiplication(esk1_0,esk2_0))=domain(multiplication(esk1_0,domain(esk2_0)))),inference(skolemize,[status(esa)],[66])).
% cnf(68,negated_conjecture,(domain(multiplication(esk1_0,esk2_0))!=domain(multiplication(esk1_0,domain(esk2_0)))),inference(split_conjunct,[status(thm)],[67])).
% cnf(69,negated_conjecture,(antidomain(antidomain(multiplication(esk1_0,antidomain(antidomain(esk2_0)))))!=antidomain(antidomain(multiplication(esk1_0,esk2_0)))),inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[68,26,theory(equality)]),26,theory(equality)]),26,theory(equality)]),['unfolding']).
% cnf(70,plain,(zero=coantidomain(one)),inference(spm,[status(thm)],[44,46,theory(equality)])).
% cnf(71,plain,(zero=antidomain(one)),inference(spm,[status(thm)],[42,52,theory(equality)])).
% cnf(72,plain,(addition(zero,X1)=X1),inference(spm,[status(thm)],[58,28,theory(equality)])).
% cnf(80,plain,(leq(X1,X2)|addition(X2,X1)!=X2),inference(spm,[status(thm)],[61,28,theory(equality)])).
% cnf(88,plain,(multiplication(zero,X2)=multiplication(antidomain(X1),multiplication(X1,X2))),inference(spm,[status(thm)],[24,52,theory(equality)])).
% cnf(89,plain,(multiplication(zero,X2)=multiplication(X1,multiplication(coantidomain(X1),X2))),inference(spm,[status(thm)],[24,46,theory(equality)])).
% cnf(99,plain,(zero=multiplication(antidomain(X1),multiplication(X1,X2))),inference(rw,[status(thm)],[88,40,theory(equality)])).
% cnf(100,plain,(zero=multiplication(X1,multiplication(coantidomain(X1),X2))),inference(rw,[status(thm)],[89,40,theory(equality)])).
% cnf(106,plain,(addition(X1,addition(X2,X3))=addition(X3,addition(X1,X2))),inference(spm,[status(thm)],[28,30,theory(equality)])).
% cnf(111,plain,(addition(X1,X2)=addition(X1,addition(X1,X2))),inference(spm,[status(thm)],[30,32,theory(equality)])).
% cnf(119,plain,(addition(antidomain(X1),antidomain(antidomain(X1)))=one),inference(rw,[status(thm)],[54,28,theory(equality)])).
% cnf(121,plain,(addition(one,X2)=addition(antidomain(X1),addition(antidomain(antidomain(X1)),X2))),inference(spm,[status(thm)],[30,119,theory(equality)])).
% cnf(122,plain,(addition(coantidomain(X1),coantidomain(coantidomain(X1)))=one),inference(rw,[status(thm)],[56,28,theory(equality)])).
% cnf(124,plain,(addition(one,X2)=addition(coantidomain(X1),addition(coantidomain(coantidomain(X1)),X2))),inference(spm,[status(thm)],[30,122,theory(equality)])).
% cnf(132,plain,(addition(multiplication(antidomain(X1),X2),zero)=multiplication(antidomain(X1),addition(X2,X1))),inference(spm,[status(thm)],[34,52,theory(equality)])).
% cnf(134,plain,(addition(multiplication(X1,X2),zero)=multiplication(X1,addition(X2,coantidomain(X1)))),inference(spm,[status(thm)],[34,46,theory(equality)])).
% cnf(135,plain,(addition(multiplication(X1,X2),X1)=multiplication(X1,addition(X2,one))),inference(spm,[status(thm)],[34,42,theory(equality)])).
% cnf(141,plain,(addition(zero,multiplication(X1,X2))=multiplication(X1,addition(coantidomain(X1),X2))),inference(spm,[status(thm)],[34,46,theory(equality)])).
% cnf(151,plain,(multiplication(antidomain(X1),X2)=multiplication(antidomain(X1),addition(X2,X1))),inference(rw,[status(thm)],[132,58,theory(equality)])).
% cnf(154,plain,(multiplication(X1,X2)=multiplication(X1,addition(X2,coantidomain(X1)))),inference(rw,[status(thm)],[134,58,theory(equality)])).
% cnf(169,plain,(addition(multiplication(X1,X2),X2)=multiplication(addition(X1,one),X2)),inference(spm,[status(thm)],[36,44,theory(equality)])).
% cnf(171,plain,(addition(multiplication(X1,X2),zero)=multiplication(addition(X1,antidomain(X2)),X2)),inference(spm,[status(thm)],[36,52,theory(equality)])).
% cnf(172,plain,(addition(multiplication(X1,X2),multiplication(X3,multiplication(X4,X2)))=multiplication(addition(X1,multiplication(X3,X4)),X2)),inference(spm,[status(thm)],[36,24,theory(equality)])).
% cnf(173,plain,(addition(multiplication(X1,coantidomain(X2)),zero)=multiplication(addition(X1,X2),coantidomain(X2))),inference(spm,[status(thm)],[36,46,theory(equality)])).
% cnf(178,plain,(addition(zero,multiplication(X2,X1))=multiplication(addition(antidomain(X1),X2),X1)),inference(spm,[status(thm)],[36,52,theory(equality)])).
% cnf(190,plain,(multiplication(X1,X2)=multiplication(addition(X1,antidomain(X2)),X2)),inference(rw,[status(thm)],[171,58,theory(equality)])).
% cnf(191,plain,(multiplication(X1,coantidomain(X2))=multiplication(addition(X1,X2),coantidomain(X2))),inference(rw,[status(thm)],[173,58,theory(equality)])).
% cnf(210,plain,(addition(antidomain(zero),antidomain(multiplication(X1,antidomain(antidomain(coantidomain(X1))))))=antidomain(multiplication(X1,antidomain(antidomain(coantidomain(X1)))))),inference(spm,[status(thm)],[48,46,theory(equality)])).
% cnf(229,plain,(addition(coantidomain(zero),coantidomain(multiplication(coantidomain(coantidomain(antidomain(X1))),X1)))=coantidomain(multiplication(coantidomain(coantidomain(antidomain(X1))),X1))),inference(spm,[status(thm)],[50,52,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(283,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)],[48,99,theory(equality)])).
% cnf(301,plain,(addition(one,antidomain(multiplication(antidomain(X1),antidomain(antidomain(multiplication(X1,X2))))))=antidomain(multiplication(antidomain(X1),antidomain(antidomain(multiplication(X1,X2)))))),inference(rw,[status(thm)],[283,272,theory(equality)])).
% cnf(321,plain,(addition(antidomain(zero),antidomain(multiplication(X1,antidomain(antidomain(multiplication(coantidomain(X1),X2))))))=antidomain(multiplication(X1,antidomain(antidomain(multiplication(coantidomain(X1),X2)))))),inference(spm,[status(thm)],[48,100,theory(equality)])).
% cnf(339,plain,(addition(one,antidomain(multiplication(X1,antidomain(antidomain(multiplication(coantidomain(X1),X2))))))=antidomain(multiplication(X1,antidomain(antidomain(multiplication(coantidomain(X1),X2)))))),inference(rw,[status(thm)],[321,272,theory(equality)])).
% cnf(351,plain,(leq(X1,addition(X1,X2))),inference(spm,[status(thm)],[61,111,theory(equality)])).
% cnf(355,plain,(addition(coantidomain(X1),one)=one),inference(spm,[status(thm)],[111,122,theory(equality)])).
% cnf(359,plain,(addition(antidomain(X1),one)=one),inference(spm,[status(thm)],[111,119,theory(equality)])).
% cnf(364,plain,(addition(X1,addition(X2,X1))=addition(X2,X1)),inference(spm,[status(thm)],[111,28,theory(equality)])).
% cnf(391,plain,(leq(X1,addition(X2,X1))),inference(spm,[status(thm)],[351,28,theory(equality)])).
% cnf(439,plain,(addition(one,coantidomain(X1))=one),inference(rw,[status(thm)],[355,28,theory(equality)])).
% cnf(454,plain,(addition(one,antidomain(X1))=one),inference(rw,[status(thm)],[359,28,theory(equality)])).
% cnf(533,plain,(leq(X1,addition(X2,addition(X3,X1)))),inference(spm,[status(thm)],[391,30,theory(equality)])).
% cnf(612,plain,(leq(multiplication(X1,X2),addition(X3,multiplication(X1,addition(X4,X2))))),inference(spm,[status(thm)],[533,34,theory(equality)])).
% cnf(613,plain,(leq(multiplication(X1,X2),addition(X3,multiplication(addition(X4,X1),X2)))),inference(spm,[status(thm)],[533,36,theory(equality)])).
% cnf(678,plain,(addition(X1,multiplication(X1,X2))=multiplication(X1,addition(X2,one))),inference(rw,[status(thm)],[135,28,theory(equality)])).
% cnf(685,plain,(leq(X1,multiplication(X1,addition(X2,one)))),inference(spm,[status(thm)],[351,678,theory(equality)])).
% cnf(688,plain,(leq(multiplication(X1,X2),X1)|multiplication(X1,addition(X2,one))!=X1),inference(spm,[status(thm)],[80,678,theory(equality)])).
% cnf(724,plain,(addition(X2,multiplication(X1,X2))=multiplication(addition(X1,one),X2)),inference(rw,[status(thm)],[169,28,theory(equality)])).
% cnf(734,plain,(leq(multiplication(X1,X2),X2)|multiplication(addition(X1,one),X2)!=X2),inference(spm,[status(thm)],[80,724,theory(equality)])).
% cnf(1350,plain,(leq(antidomain(addition(X1,one)),zero)),inference(spm,[status(thm)],[685,52,theory(equality)])).
% cnf(1361,plain,(addition(antidomain(addition(X1,one)),zero)=zero),inference(spm,[status(thm)],[62,1350,theory(equality)])).
% cnf(1367,plain,(antidomain(addition(X1,one))=zero),inference(rw,[status(thm)],[1361,58,theory(equality)])).
% cnf(1385,plain,(antidomain(addition(one,X1))=zero),inference(spm,[status(thm)],[1367,28,theory(equality)])).
% cnf(1413,plain,(addition(antidomain(multiplication(X1,addition(one,X2))),antidomain(multiplication(X1,antidomain(zero))))=antidomain(multiplication(X1,antidomain(zero)))),inference(spm,[status(thm)],[48,1385,theory(equality)])).
% cnf(1438,plain,(addition(antidomain(multiplication(X1,addition(one,X2))),antidomain(X1))=antidomain(multiplication(X1,antidomain(zero)))),inference(rw,[status(thm)],[inference(rw,[status(thm)],[1413,272,theory(equality)]),42,theory(equality)])).
% cnf(1439,plain,(addition(antidomain(multiplication(X1,addition(one,X2))),antidomain(X1))=antidomain(X1)),inference(rw,[status(thm)],[inference(rw,[status(thm)],[1438,272,theory(equality)]),42,theory(equality)])).
% cnf(1456,plain,(leq(multiplication(X1,X2),X1)|multiplication(X1,addition(one,X2))!=X1),inference(spm,[status(thm)],[688,28,theory(equality)])).
% cnf(1487,plain,(leq(multiplication(X1,X2),X2)|multiplication(addition(one,X1),X2)!=X2),inference(spm,[status(thm)],[734,28,theory(equality)])).
% cnf(2955,plain,(leq(multiplication(X1,coantidomain(X2)),X1)|multiplication(X1,one)!=X1),inference(spm,[status(thm)],[1456,439,theory(equality)])).
% cnf(2960,plain,(leq(multiplication(X1,antidomain(X2)),X1)|multiplication(X1,one)!=X1),inference(spm,[status(thm)],[1456,454,theory(equality)])).
% cnf(2979,plain,(leq(multiplication(X1,coantidomain(X2)),X1)|$false),inference(rw,[status(thm)],[2955,42,theory(equality)])).
% cnf(2980,plain,(leq(multiplication(X1,coantidomain(X2)),X1)),inference(cn,[status(thm)],[2979,theory(equality)])).
% cnf(2981,plain,(leq(multiplication(X1,antidomain(X2)),X1)|$false),inference(rw,[status(thm)],[2960,42,theory(equality)])).
% cnf(2982,plain,(leq(multiplication(X1,antidomain(X2)),X1)),inference(cn,[status(thm)],[2981,theory(equality)])).
% cnf(3022,plain,(multiplication(antidomain(addition(antidomain(antidomain(X1)),X2)),addition(one,X2))=multiplication(antidomain(addition(antidomain(antidomain(X1)),X2)),antidomain(X1))),inference(spm,[status(thm)],[151,121,theory(equality)])).
% cnf(3024,plain,(multiplication(antidomain(antidomain(antidomain(X1))),one)=multiplication(antidomain(antidomain(antidomain(X1))),antidomain(X1))),inference(spm,[status(thm)],[151,119,theory(equality)])).
% cnf(3030,plain,(multiplication(antidomain(addition(X1,X2)),addition(X1,X2))=multiplication(antidomain(addition(X1,X2)),X1)),inference(spm,[status(thm)],[151,111,theory(equality)])).
% cnf(3032,plain,(multiplication(antidomain(addition(X1,X2)),addition(X1,X2))=multiplication(antidomain(addition(X1,X2)),X2)),inference(spm,[status(thm)],[151,364,theory(equality)])).
% cnf(3035,plain,(multiplication(antidomain(X1),addition(X1,X2))=multiplication(antidomain(X1),X2)),inference(spm,[status(thm)],[151,28,theory(equality)])).
% cnf(3074,plain,(antidomain(antidomain(antidomain(X1)))=multiplication(antidomain(antidomain(antidomain(X1))),antidomain(X1))),inference(rw,[status(thm)],[3024,42,theory(equality)])).
% cnf(3075,plain,(zero=multiplication(antidomain(addition(X1,X2)),X1)),inference(rw,[status(thm)],[3030,52,theory(equality)])).
% cnf(3076,plain,(zero=multiplication(antidomain(addition(X1,X2)),X2)),inference(rw,[status(thm)],[3032,52,theory(equality)])).
% cnf(3202,plain,(multiplication(X1,addition(coantidomain(X1),X2))=multiplication(X1,X2)),inference(rw,[status(thm)],[141,72,theory(equality)])).
% cnf(3240,plain,(multiplication(X1,one)=multiplication(X1,coantidomain(coantidomain(X1)))),inference(spm,[status(thm)],[3202,122,theory(equality)])).
% cnf(3278,plain,(X1=multiplication(X1,coantidomain(coantidomain(X1)))),inference(rw,[status(thm)],[3240,42,theory(equality)])).
% cnf(3497,plain,(addition(zero,multiplication(X3,X1))=multiplication(addition(antidomain(addition(X1,X2)),X3),X1)),inference(spm,[status(thm)],[36,3075,theory(equality)])).
% cnf(3553,plain,(multiplication(X3,X1)=multiplication(addition(antidomain(addition(X1,X2)),X3),X1)),inference(rw,[status(thm)],[3497,72,theory(equality)])).
% cnf(3596,plain,(addition(multiplication(antidomain(addition(X1,X2)),X3),zero)=multiplication(antidomain(addition(X1,X2)),addition(X3,X2))),inference(spm,[status(thm)],[34,3076,theory(equality)])).
% cnf(3652,plain,(multiplication(antidomain(addition(X1,X2)),X3)=multiplication(antidomain(addition(X1,X2)),addition(X3,X2))),inference(rw,[status(thm)],[3596,58,theory(equality)])).
% cnf(3699,plain,(leq(multiplication(antidomain(X1),X2),X2)|multiplication(one,X2)!=X2),inference(spm,[status(thm)],[1487,454,theory(equality)])).
% cnf(3724,plain,(leq(multiplication(antidomain(X1),X2),X2)|$false),inference(rw,[status(thm)],[3699,44,theory(equality)])).
% cnf(3725,plain,(leq(multiplication(antidomain(X1),X2),X2)),inference(cn,[status(thm)],[3724,theory(equality)])).
% cnf(3775,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)],[190,48,theory(equality)])).
% cnf(3809,plain,(zero=multiplication(antidomain(multiplication(X1,X2)),multiplication(X1,antidomain(antidomain(X2))))),inference(rw,[status(thm)],[3775,52,theory(equality)])).
% cnf(3882,plain,(multiplication(one,coantidomain(coantidomain(coantidomain(X1))))=multiplication(coantidomain(X1),coantidomain(coantidomain(coantidomain(X1))))),inference(spm,[status(thm)],[191,122,theory(equality)])).
% cnf(3898,plain,(multiplication(addition(X1,X2),coantidomain(addition(X1,X2)))=multiplication(X1,coantidomain(addition(X1,X2)))),inference(spm,[status(thm)],[191,111,theory(equality)])).
% cnf(3941,plain,(coantidomain(coantidomain(coantidomain(X1)))=multiplication(coantidomain(X1),coantidomain(coantidomain(coantidomain(X1))))),inference(rw,[status(thm)],[3882,44,theory(equality)])).
% cnf(3942,plain,(coantidomain(coantidomain(coantidomain(X1)))=coantidomain(X1)),inference(rw,[status(thm)],[3941,3278,theory(equality)])).
% cnf(3955,plain,(zero=multiplication(X1,coantidomain(addition(X1,X2)))),inference(rw,[status(thm)],[3898,46,theory(equality)])).
% cnf(4117,plain,(leq(antidomain(X1),coantidomain(coantidomain(antidomain(X1))))),inference(spm,[status(thm)],[3725,3278,theory(equality)])).
% cnf(4161,plain,(addition(zero,multiplication(X1,X3))=multiplication(X1,addition(coantidomain(addition(X1,X2)),X3))),inference(spm,[status(thm)],[34,3955,theory(equality)])).
% cnf(4219,plain,(multiplication(X1,X3)=multiplication(X1,addition(coantidomain(addition(X1,X2)),X3))),inference(rw,[status(thm)],[4161,72,theory(equality)])).
% cnf(4359,plain,(addition(antidomain(X1),coantidomain(coantidomain(antidomain(X1))))=coantidomain(coantidomain(antidomain(X1)))),inference(spm,[status(thm)],[62,4117,theory(equality)])).
% cnf(4442,plain,(multiplication(addition(antidomain(X1),X2),X1)=multiplication(X2,X1)),inference(rw,[status(thm)],[178,72,theory(equality)])).
% cnf(4481,plain,(multiplication(addition(one,X2),X1)=multiplication(addition(antidomain(antidomain(X1)),X2),X1)),inference(spm,[status(thm)],[4442,121,theory(equality)])).
% cnf(4482,plain,(multiplication(one,X1)=multiplication(antidomain(antidomain(X1)),X1)),inference(spm,[status(thm)],[4442,119,theory(equality)])).
% cnf(4521,plain,(X1=multiplication(antidomain(antidomain(X1)),X1)),inference(rw,[status(thm)],[4482,44,theory(equality)])).
% cnf(4522,plain,(leq(coantidomain(X1),antidomain(antidomain(coantidomain(X1))))),inference(spm,[status(thm)],[2980,4521,theory(equality)])).
% cnf(4530,plain,(multiplication(X1,X2)=multiplication(antidomain(antidomain(X1)),multiplication(X1,X2))),inference(spm,[status(thm)],[24,4521,theory(equality)])).
% cnf(4537,plain,(addition(antidomain(antidomain(X1)),X1)=multiplication(antidomain(antidomain(X1)),addition(X1,one))),inference(spm,[status(thm)],[678,4521,theory(equality)])).
% cnf(4709,plain,(addition(coantidomain(X1),antidomain(antidomain(coantidomain(X1))))=antidomain(antidomain(coantidomain(X1)))),inference(spm,[status(thm)],[62,4522,theory(equality)])).
% cnf(6063,plain,(antidomain(X1)=antidomain(antidomain(antidomain(X1)))),inference(rw,[status(thm)],[3074,4521,theory(equality)])).
% cnf(6884,plain,(addition(antidomain(X1),coantidomain(coantidomain(antidomain(antidomain(X1)))))=addition(one,coantidomain(coantidomain(antidomain(antidomain(X1)))))),inference(spm,[status(thm)],[121,4359,theory(equality)])).
% cnf(6920,plain,(addition(antidomain(X1),coantidomain(coantidomain(antidomain(antidomain(X1)))))=one),inference(rw,[status(thm)],[6884,439,theory(equality)])).
% cnf(7017,plain,(multiplication(antidomain(antidomain(X1)),addition(X1,one))=addition(X1,antidomain(antidomain(X1)))),inference(rw,[status(thm)],[4537,28,theory(equality)])).
% cnf(7041,plain,(multiplication(antidomain(antidomain(X1)),addition(one,X1))=addition(X1,antidomain(antidomain(X1)))),inference(spm,[status(thm)],[7017,28,theory(equality)])).
% cnf(7292,plain,(addition(coantidomain(X1),antidomain(antidomain(coantidomain(coantidomain(X1)))))=addition(one,antidomain(antidomain(coantidomain(coantidomain(X1)))))),inference(spm,[status(thm)],[124,4709,theory(equality)])).
% cnf(7329,plain,(addition(coantidomain(X1),antidomain(antidomain(coantidomain(coantidomain(X1)))))=one),inference(rw,[status(thm)],[7292,454,theory(equality)])).
% cnf(8793,plain,(addition(multiplication(X1,X2),zero)=multiplication(addition(X1,multiplication(antidomain(multiplication(X3,X2)),X3)),X2)),inference(spm,[status(thm)],[172,52,theory(equality)])).
% cnf(8899,plain,(multiplication(X1,X2)=multiplication(addition(X1,multiplication(antidomain(multiplication(X3,X2)),X3)),X2)),inference(rw,[status(thm)],[8793,58,theory(equality)])).
% cnf(16371,plain,(one=antidomain(multiplication(X1,antidomain(antidomain(coantidomain(X1)))))),inference(rw,[status(thm)],[inference(rw,[status(thm)],[210,272,theory(equality)]),454,theory(equality)])).
% cnf(16372,plain,(multiplication(one,multiplication(X1,antidomain(antidomain(coantidomain(X1)))))=zero),inference(spm,[status(thm)],[52,16371,theory(equality)])).
% cnf(16444,plain,(multiplication(X1,antidomain(antidomain(coantidomain(X1))))=zero),inference(rw,[status(thm)],[16372,44,theory(equality)])).
% cnf(16557,plain,(addition(zero,multiplication(X1,X2))=multiplication(X1,addition(antidomain(antidomain(coantidomain(X1))),X2))),inference(spm,[status(thm)],[34,16444,theory(equality)])).
% cnf(16629,plain,(multiplication(X1,X2)=multiplication(X1,addition(antidomain(antidomain(coantidomain(X1))),X2))),inference(rw,[status(thm)],[16557,72,theory(equality)])).
% cnf(20663,plain,(multiplication(coantidomain(antidomain(antidomain(X1))),one)=multiplication(coantidomain(antidomain(antidomain(X1))),antidomain(X1))),inference(spm,[status(thm)],[154,6920,theory(equality)])).
% cnf(20733,plain,(coantidomain(antidomain(antidomain(X1)))=multiplication(coantidomain(antidomain(antidomain(X1))),antidomain(X1))),inference(rw,[status(thm)],[20663,42,theory(equality)])).
% cnf(20833,plain,(multiplication(coantidomain(antidomain(X1)),antidomain(antidomain(X1)))=coantidomain(antidomain(X1))),inference(spm,[status(thm)],[20733,6063,theory(equality)])).
% cnf(22096,plain,(one=coantidomain(multiplication(coantidomain(coantidomain(antidomain(X1))),X1))),inference(rw,[status(thm)],[inference(rw,[status(thm)],[229,258,theory(equality)]),439,theory(equality)])).
% cnf(22097,plain,(multiplication(multiplication(coantidomain(coantidomain(antidomain(X1))),X1),one)=zero),inference(spm,[status(thm)],[46,22096,theory(equality)])).
% cnf(22177,plain,(multiplication(coantidomain(coantidomain(antidomain(X1))),X1)=zero),inference(rw,[status(thm)],[inference(rw,[status(thm)],[22097,24,theory(equality)]),42,theory(equality)])).
% cnf(22519,plain,(multiplication(one,antidomain(coantidomain(coantidomain(X1))))=multiplication(coantidomain(X1),antidomain(coantidomain(coantidomain(X1))))),inference(spm,[status(thm)],[190,7329,theory(equality)])).
% cnf(22589,plain,(antidomain(coantidomain(coantidomain(X1)))=multiplication(coantidomain(X1),antidomain(coantidomain(coantidomain(X1))))),inference(rw,[status(thm)],[22519,44,theory(equality)])).
% cnf(22680,plain,(multiplication(coantidomain(coantidomain(X1)),antidomain(coantidomain(X1)))=antidomain(coantidomain(X1))),inference(spm,[status(thm)],[22589,3942,theory(equality)])).
% cnf(28913,plain,(one=antidomain(multiplication(antidomain(X1),antidomain(antidomain(multiplication(X1,X2)))))),inference(rw,[status(thm)],[301,454,theory(equality)])).
% cnf(28914,plain,(multiplication(one,multiplication(antidomain(X1),antidomain(antidomain(multiplication(X1,X2)))))=zero),inference(spm,[status(thm)],[52,28913,theory(equality)])).
% cnf(29095,plain,(multiplication(antidomain(X1),antidomain(antidomain(multiplication(X1,X2))))=zero),inference(rw,[status(thm)],[28914,44,theory(equality)])).
% cnf(37935,plain,(one=antidomain(multiplication(X1,antidomain(antidomain(multiplication(coantidomain(X1),X2)))))),inference(rw,[status(thm)],[339,454,theory(equality)])).
% cnf(37936,plain,(multiplication(one,multiplication(X1,antidomain(antidomain(multiplication(coantidomain(X1),X2)))))=zero),inference(spm,[status(thm)],[52,37935,theory(equality)])).
% cnf(38103,plain,(multiplication(X1,antidomain(antidomain(multiplication(coantidomain(X1),X2))))=zero),inference(rw,[status(thm)],[37936,44,theory(equality)])).
% cnf(58293,plain,(multiplication(zero,X3)=multiplication(X1,multiplication(antidomain(antidomain(multiplication(coantidomain(X1),X2))),X3))),inference(spm,[status(thm)],[24,38103,theory(equality)])).
% cnf(58504,plain,(zero=multiplication(X1,multiplication(antidomain(antidomain(multiplication(coantidomain(X1),X2))),X3))),inference(rw,[status(thm)],[58293,40,theory(equality)])).
% cnf(68122,plain,(leq(multiplication(X1,coantidomain(X2)),addition(X3,multiplication(X1,one)))),inference(spm,[status(thm)],[612,439,theory(equality)])).
% cnf(68127,plain,(leq(multiplication(X1,antidomain(X2)),addition(X3,multiplication(X1,one)))),inference(spm,[status(thm)],[612,454,theory(equality)])).
% cnf(68390,plain,(leq(multiplication(X1,coantidomain(X2)),addition(X3,X1))),inference(rw,[status(thm)],[68122,42,theory(equality)])).
% cnf(68391,plain,(leq(multiplication(X1,antidomain(X2)),addition(X3,X1))),inference(rw,[status(thm)],[68127,42,theory(equality)])).
% cnf(68531,plain,(addition(multiplication(X1,coantidomain(X2)),addition(X3,X1))=addition(X3,X1)),inference(spm,[status(thm)],[62,68390,theory(equality)])).
% cnf(68775,plain,(addition(multiplication(X1,antidomain(X2)),addition(X3,X1))=addition(X3,X1)),inference(spm,[status(thm)],[62,68391,theory(equality)])).
% cnf(70309,plain,(leq(multiplication(antidomain(X1),X2),addition(X3,multiplication(one,X2)))),inference(spm,[status(thm)],[613,454,theory(equality)])).
% cnf(70599,plain,(leq(multiplication(antidomain(X1),X2),addition(X3,X2))),inference(rw,[status(thm)],[70309,44,theory(equality)])).
% cnf(71029,plain,(addition(multiplication(antidomain(X1),X2),addition(X3,X2))=addition(X3,X2)),inference(spm,[status(thm)],[62,70599,theory(equality)])).
% cnf(90988,plain,(multiplication(one,X1)=multiplication(antidomain(antidomain(addition(X1,X2))),X1)),inference(spm,[status(thm)],[3553,119,theory(equality)])).
% cnf(91224,plain,(X1=multiplication(antidomain(antidomain(addition(X1,X2))),X1)),inference(rw,[status(thm)],[90988,44,theory(equality)])).
% cnf(91266,plain,(leq(antidomain(X1),antidomain(antidomain(addition(antidomain(X1),X2))))),inference(spm,[status(thm)],[2982,91224,theory(equality)])).
% cnf(91447,plain,(multiplication(antidomain(antidomain(addition(X2,X1))),X1)=X1),inference(spm,[status(thm)],[91224,364,theory(equality)])).
% cnf(91730,plain,(multiplication(antidomain(antidomain(antidomain(addition(X1,X2)))),antidomain(antidomain(X2)))=zero),inference(spm,[status(thm)],[29095,91447,theory(equality)])).
% cnf(91923,plain,(multiplication(antidomain(addition(X1,X2)),antidomain(antidomain(X2)))=zero),inference(rw,[status(thm)],[91730,6063,theory(equality)])).
% cnf(93184,plain,(addition(antidomain(X1),antidomain(antidomain(addition(antidomain(X1),X2))))=antidomain(antidomain(addition(antidomain(X1),X2)))),inference(spm,[status(thm)],[62,91266,theory(equality)])).
% cnf(99109,plain,(multiplication(X1,one)=multiplication(X1,coantidomain(coantidomain(addition(X1,X2))))),inference(spm,[status(thm)],[4219,122,theory(equality)])).
% cnf(99377,plain,(X1=multiplication(X1,coantidomain(coantidomain(addition(X1,X2))))),inference(rw,[status(thm)],[99109,42,theory(equality)])).
% cnf(121124,plain,(multiplication(X1,one)=multiplication(X1,antidomain(antidomain(antidomain(coantidomain(X1)))))),inference(spm,[status(thm)],[16629,119,theory(equality)])).
% cnf(121345,plain,(X1=multiplication(X1,antidomain(antidomain(antidomain(coantidomain(X1)))))),inference(rw,[status(thm)],[121124,42,theory(equality)])).
% cnf(121346,plain,(X1=multiplication(X1,antidomain(coantidomain(X1)))),inference(rw,[status(thm)],[121345,6063,theory(equality)])).
% cnf(121514,plain,(multiplication(coantidomain(coantidomain(X1)),antidomain(coantidomain(X1)))=coantidomain(coantidomain(X1))),inference(spm,[status(thm)],[121346,3942,theory(equality)])).
% cnf(121528,plain,(coantidomain(X1)=antidomain(coantidomain(coantidomain(X1)))),inference(rw,[status(thm)],[22589,121346,theory(equality)])).
% cnf(121673,plain,(antidomain(coantidomain(X1))=coantidomain(coantidomain(X1))),inference(rw,[status(thm)],[121514,22680,theory(equality)])).
% cnf(121864,plain,(addition(coantidomain(X1),antidomain(coantidomain(X1)))=one),inference(rw,[status(thm)],[inference(rw,[status(thm)],[7329,121673,theory(equality)]),6063,theory(equality)])).
% cnf(121915,plain,(addition(antidomain(X1),antidomain(coantidomain(antidomain(antidomain(X1)))))=one),inference(rw,[status(thm)],[6920,121673,theory(equality)])).
% cnf(121925,plain,(multiplication(antidomain(coantidomain(antidomain(X1))),X1)=zero),inference(rw,[status(thm)],[22177,121673,theory(equality)])).
% cnf(121942,plain,(multiplication(X1,antidomain(coantidomain(addition(X1,X2))))=X1),inference(rw,[status(thm)],[99377,121673,theory(equality)])).
% cnf(122078,plain,(antidomain(antidomain(coantidomain(X1)))=coantidomain(X1)),inference(rw,[status(thm)],[121528,121673,theory(equality)])).
% cnf(124051,plain,(addition(zero,multiplication(X2,X1))=multiplication(addition(antidomain(coantidomain(antidomain(X1))),X2),X1)),inference(spm,[status(thm)],[36,121925,theory(equality)])).
% cnf(124238,plain,(multiplication(X2,X1)=multiplication(addition(antidomain(coantidomain(antidomain(X1))),X2),X1)),inference(rw,[status(thm)],[124051,72,theory(equality)])).
% cnf(153734,plain,(addition(X1,addition(multiplication(X1,coantidomain(X2)),X3))=addition(X3,X1)),inference(rw,[status(thm)],[68531,106,theory(equality)])).
% cnf(154256,plain,(addition(X1,multiplication(addition(X1,X3),coantidomain(X2)))=addition(multiplication(X3,coantidomain(X2)),X1)),inference(spm,[status(thm)],[153734,36,theory(equality)])).
% cnf(157045,plain,(addition(X1,addition(multiplication(X1,antidomain(X2)),X3))=addition(X3,X1)),inference(rw,[status(thm)],[68775,106,theory(equality)])).
% cnf(157577,plain,(addition(X1,multiplication(addition(X1,X3),antidomain(X2)))=addition(multiplication(X3,antidomain(X2)),X1)),inference(spm,[status(thm)],[157045,36,theory(equality)])).
% cnf(167130,plain,(addition(X2,addition(multiplication(antidomain(X1),X2),X3))=addition(X3,X2)),inference(rw,[status(thm)],[71029,106,theory(equality)])).
% cnf(167702,plain,(addition(X1,addition(X3,multiplication(antidomain(X2),X1)))=addition(X3,X1)),inference(spm,[status(thm)],[167130,28,theory(equality)])).
% cnf(189104,plain,(addition(antidomain(X1),antidomain(multiplication(X1,addition(one,X2))))=antidomain(X1)),inference(rw,[status(thm)],[1439,28,theory(equality)])).
% cnf(207106,plain,(multiplication(one,X1)=multiplication(antidomain(coantidomain(antidomain(antidomain(coantidomain(antidomain(X1)))))),X1)),inference(spm,[status(thm)],[124238,121915,theory(equality)])).
% cnf(207413,plain,(X1=multiplication(antidomain(coantidomain(antidomain(antidomain(coantidomain(antidomain(X1)))))),X1)),inference(rw,[status(thm)],[207106,44,theory(equality)])).
% cnf(207414,plain,(X1=multiplication(coantidomain(antidomain(X1)),X1)),inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[207413,122078,theory(equality)]),121673,theory(equality)]),122078,theory(equality)])).
% cnf(207653,plain,(multiplication(coantidomain(antidomain(X1)),antidomain(antidomain(X1)))=antidomain(antidomain(X1))),inference(spm,[status(thm)],[207414,6063,theory(equality)])).
% cnf(207874,plain,(coantidomain(antidomain(X1))=antidomain(antidomain(X1))),inference(rw,[status(thm)],[207653,20833,theory(equality)])).
% cnf(243654,plain,(addition(X1,multiplication(antidomain(X2),addition(X3,X1)))=addition(multiplication(antidomain(X2),X3),X1)),inference(spm,[status(thm)],[167702,34,theory(equality)])).
% cnf(360090,plain,(antidomain(addition(antidomain(antidomain(X1)),X2))=multiplication(antidomain(addition(antidomain(antidomain(X1)),X2)),antidomain(X1))),inference(rw,[status(thm)],[inference(rw,[status(thm)],[3022,3652,theory(equality)]),42,theory(equality)])).
% cnf(360246,plain,(antidomain(addition(antidomain(antidomain(antidomain(X1))),X1))=zero),inference(spm,[status(thm)],[91923,360090,theory(equality)])).
% cnf(360494,plain,(antidomain(addition(X1,antidomain(X1)))=zero),inference(rw,[status(thm)],[inference(rw,[status(thm)],[360246,6063,theory(equality)]),28,theory(equality)])).
% cnf(420537,plain,(multiplication(antidomain(multiplication(X1,addition(X2,antidomain(X2)))),multiplication(X1,antidomain(zero)))=zero),inference(spm,[status(thm)],[3809,360494,theory(equality)])).
% cnf(421036,plain,(multiplication(antidomain(multiplication(X1,addition(X2,antidomain(X2)))),X1)=zero),inference(rw,[status(thm)],[inference(rw,[status(thm)],[420537,272,theory(equality)]),42,theory(equality)])).
% cnf(512640,plain,(multiplication(antidomain(X1),antidomain(coantidomain(antidomain(antidomain(addition(antidomain(X1),X2))))))=antidomain(X1)),inference(spm,[status(thm)],[121942,93184,theory(equality)])).
% cnf(513237,plain,(multiplication(antidomain(X1),antidomain(antidomain(addition(antidomain(X1),X2))))=antidomain(X1)),inference(rw,[status(thm)],[inference(rw,[status(thm)],[512640,207874,theory(equality)]),6063,theory(equality)])).
% cnf(582120,plain,(addition(antidomain(X1),multiplication(one,coantidomain(X2)))=addition(multiplication(antidomain(antidomain(X1)),coantidomain(X2)),antidomain(X1))),inference(spm,[status(thm)],[154256,119,theory(equality)])).
% cnf(583028,plain,(addition(antidomain(X1),coantidomain(X2))=addition(multiplication(antidomain(antidomain(X1)),coantidomain(X2)),antidomain(X1))),inference(rw,[status(thm)],[582120,44,theory(equality)])).
% cnf(584921,plain,(addition(antidomain(X1),multiplication(one,antidomain(X2)))=addition(multiplication(antidomain(antidomain(X1)),antidomain(X2)),antidomain(X1))),inference(spm,[status(thm)],[157577,119,theory(equality)])).
% cnf(585843,plain,(addition(antidomain(X1),antidomain(X2))=addition(multiplication(antidomain(antidomain(X1)),antidomain(X2)),antidomain(X1))),inference(rw,[status(thm)],[584921,44,theory(equality)])).
% cnf(635028,plain,(addition(antidomain(coantidomain(X1)),multiplication(antidomain(X2),one))=addition(multiplication(antidomain(X2),coantidomain(X1)),antidomain(coantidomain(X1)))),inference(spm,[status(thm)],[243654,121864,theory(equality)])).
% cnf(635107,plain,(addition(antidomain(antidomain(X1)),multiplication(antidomain(X2),one))=addition(multiplication(antidomain(X2),antidomain(X1)),antidomain(antidomain(X1)))),inference(spm,[status(thm)],[243654,119,theory(equality)])).
% cnf(635903,plain,(addition(antidomain(coantidomain(X1)),antidomain(X2))=addition(multiplication(antidomain(X2),coantidomain(X1)),antidomain(coantidomain(X1)))),inference(rw,[status(thm)],[635028,42,theory(equality)])).
% cnf(636004,plain,(addition(antidomain(antidomain(X1)),antidomain(X2))=addition(multiplication(antidomain(X2),antidomain(X1)),antidomain(antidomain(X1)))),inference(rw,[status(thm)],[635107,42,theory(equality)])).
% cnf(1053968,plain,(addition(antidomain(X1),multiplication(antidomain(antidomain(X1)),coantidomain(X2)))=addition(antidomain(X1),coantidomain(X2))),inference(rw,[status(thm)],[583028,28,theory(equality)])).
% cnf(1054510,plain,(multiplication(addition(antidomain(X1),coantidomain(X2)),X1)=multiplication(multiplication(antidomain(antidomain(X1)),coantidomain(X2)),X1)),inference(spm,[status(thm)],[4442,1053968,theory(equality)])).
% cnf(1055112,plain,(multiplication(coantidomain(X2),X1)=multiplication(multiplication(antidomain(antidomain(X1)),coantidomain(X2)),X1)),inference(rw,[status(thm)],[1054510,4442,theory(equality)])).
% cnf(1055113,plain,(multiplication(coantidomain(X2),X1)=multiplication(antidomain(antidomain(X1)),multiplication(coantidomain(X2),X1))),inference(rw,[status(thm)],[1055112,24,theory(equality)])).
% cnf(1116235,plain,(addition(antidomain(X1),multiplication(antidomain(antidomain(X1)),antidomain(X2)))=addition(antidomain(X1),antidomain(X2))),inference(rw,[status(thm)],[585843,28,theory(equality)])).
% cnf(1116793,plain,(multiplication(addition(antidomain(X1),antidomain(X2)),X1)=multiplication(multiplication(antidomain(antidomain(X1)),antidomain(X2)),X1)),inference(spm,[status(thm)],[4442,1116235,theory(equality)])).
% cnf(1117427,plain,(multiplication(antidomain(X2),X1)=multiplication(multiplication(antidomain(antidomain(X1)),antidomain(X2)),X1)),inference(rw,[status(thm)],[1116793,4442,theory(equality)])).
% cnf(1117428,plain,(multiplication(antidomain(X2),X1)=multiplication(antidomain(antidomain(X1)),multiplication(antidomain(X2),X1))),inference(rw,[status(thm)],[1117427,24,theory(equality)])).
% cnf(1122853,plain,(multiplication(antidomain(antidomain(multiplication(coantidomain(antidomain(antidomain(X1))),X2))),X1)=zero),inference(spm,[status(thm)],[58504,1117428,theory(equality)])).
% cnf(1123408,plain,(multiplication(antidomain(antidomain(multiplication(antidomain(X1),X2))),X1)=zero),inference(rw,[status(thm)],[inference(rw,[status(thm)],[1122853,207874,theory(equality)]),6063,theory(equality)])).
% cnf(1124700,plain,(multiplication(antidomain(antidomain(multiplication(X1,X2))),antidomain(X1))=zero),inference(spm,[status(thm)],[1123408,4530,theory(equality)])).
% cnf(1129475,plain,(addition(antidomain(multiplication(X1,X2)),zero)=addition(antidomain(multiplication(X1,X2)),antidomain(X1))),inference(spm,[status(thm)],[1116235,1124700,theory(equality)])).
% cnf(1130296,plain,(antidomain(multiplication(X1,X2))=addition(antidomain(multiplication(X1,X2)),antidomain(X1))),inference(rw,[status(thm)],[1129475,58,theory(equality)])).
% cnf(1131904,plain,(addition(antidomain(X1),antidomain(multiplication(X1,X2)))=antidomain(multiplication(X1,X2))),inference(rw,[status(thm)],[1130296,28,theory(equality)])).
% cnf(1131998,plain,(multiplication(antidomain(X1),antidomain(coantidomain(antidomain(multiplication(X1,X2)))))=antidomain(X1)),inference(spm,[status(thm)],[121942,1131904,theory(equality)])).
% cnf(1132480,plain,(multiplication(antidomain(multiplication(antidomain(X1),X2)),X1)=multiplication(addition(one,antidomain(multiplication(antidomain(X1),X2))),X1)),inference(spm,[status(thm)],[4481,1131904,theory(equality)])).
% cnf(1132780,plain,(addition(antidomain(antidomain(antidomain(X1))),antidomain(multiplication(coantidomain(X2),X1)))=antidomain(multiplication(coantidomain(X2),X1))),inference(spm,[status(thm)],[1131904,1055113,theory(equality)])).
% cnf(1133036,plain,(antidomain(multiplication(X1,addition(one,X2)))=antidomain(X1)),inference(rw,[status(thm)],[189104,1131904,theory(equality)])).
% cnf(1133138,plain,(multiplication(antidomain(X1),antidomain(multiplication(X1,X2)))=antidomain(X1)),inference(rw,[status(thm)],[inference(rw,[status(thm)],[1131998,207874,theory(equality)]),6063,theory(equality)])).
% cnf(1133487,plain,(multiplication(antidomain(multiplication(antidomain(X1),X2)),X1)=X1),inference(rw,[status(thm)],[inference(rw,[status(thm)],[1132480,454,theory(equality)]),44,theory(equality)])).
% cnf(1133772,plain,(addition(antidomain(X1),antidomain(multiplication(coantidomain(X2),X1)))=antidomain(multiplication(coantidomain(X2),X1))),inference(rw,[status(thm)],[1132780,6063,theory(equality)])).
% cnf(1135042,plain,(antidomain(multiplication(X1,multiplication(X2,addition(one,X3))))=antidomain(multiplication(X1,X2))),inference(spm,[status(thm)],[1133036,24,theory(equality)])).
% cnf(1150738,plain,(multiplication(antidomain(X2),antidomain(addition(X1,X2)))=antidomain(addition(X1,X2))),inference(spm,[status(thm)],[1133487,91447,theory(equality)])).
% cnf(1161818,plain,(multiplication(antidomain(antidomain(antidomain(addition(X1,X2)))),antidomain(X2))=antidomain(antidomain(antidomain(addition(X1,X2))))),inference(spm,[status(thm)],[1133138,91447,theory(equality)])).
% cnf(1162500,plain,(multiplication(antidomain(addition(X1,X2)),antidomain(X2))=antidomain(antidomain(antidomain(addition(X1,X2))))),inference(rw,[status(thm)],[1161818,6063,theory(equality)])).
% cnf(1162501,plain,(multiplication(antidomain(addition(X1,X2)),antidomain(X2))=antidomain(addition(X1,X2))),inference(rw,[status(thm)],[1162500,6063,theory(equality)])).
% cnf(1254777,plain,(antidomain(multiplication(X1,addition(X2,antidomain(antidomain(X2)))))=antidomain(multiplication(X1,antidomain(antidomain(X2))))),inference(spm,[status(thm)],[1135042,7041,theory(equality)])).
% cnf(1520526,plain,(addition(antidomain(coantidomain(X1)),multiplication(antidomain(X2),coantidomain(X1)))=addition(antidomain(coantidomain(X1)),antidomain(X2))),inference(rw,[status(thm)],[635903,28,theory(equality)])).
% cnf(1526466,plain,(addition(antidomain(antidomain(X1)),multiplication(antidomain(X2),antidomain(X1)))=addition(antidomain(antidomain(X1)),antidomain(X2))),inference(rw,[status(thm)],[636004,28,theory(equality)])).
% cnf(1527349,plain,(addition(antidomain(antidomain(X1)),zero)=addition(antidomain(antidomain(X1)),antidomain(multiplication(antidomain(X1),addition(X2,antidomain(X2)))))),inference(spm,[status(thm)],[1526466,421036,theory(equality)])).
% cnf(1528238,plain,(antidomain(antidomain(X1))=addition(antidomain(antidomain(X1)),antidomain(multiplication(antidomain(X1),addition(X2,antidomain(X2)))))),inference(rw,[status(thm)],[1527349,58,theory(equality)])).
% cnf(1528239,plain,(antidomain(antidomain(X1))=antidomain(multiplication(antidomain(X1),addition(X2,antidomain(X2))))),inference(rw,[status(thm)],[1528238,1131904,theory(equality)])).
% cnf(1529419,plain,(antidomain(multiplication(antidomain(addition(X1,antidomain(X2))),X2))=antidomain(antidomain(addition(X1,antidomain(X2))))),inference(spm,[status(thm)],[1528239,3652,theory(equality)])).
% cnf(1664588,plain,(multiplication(addition(antidomain(coantidomain(X1)),antidomain(multiplication(coantidomain(X1),X2))),X2)=multiplication(antidomain(coantidomain(X1)),X2)),inference(spm,[status(thm)],[8899,1520526,theory(equality)])).
% cnf(1664591,plain,(multiplication(addition(antidomain(antidomain(X1)),antidomain(multiplication(antidomain(X1),X2))),X2)=multiplication(antidomain(antidomain(X1)),X2)),inference(spm,[status(thm)],[8899,1526466,theory(equality)])).
% cnf(1665582,plain,(multiplication(antidomain(multiplication(coantidomain(X1),X2)),X2)=multiplication(antidomain(coantidomain(X1)),X2)),inference(rw,[status(thm)],[1664588,1131904,theory(equality)])).
% cnf(1665583,plain,(multiplication(antidomain(multiplication(antidomain(X1),X2)),X2)=multiplication(antidomain(antidomain(X1)),X2)),inference(rw,[status(thm)],[1664591,1131904,theory(equality)])).
% cnf(1666285,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)],[1520526,1665582,theory(equality)])).
% cnf(1666354,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)],[1526466,1665582,theory(equality)])).
% cnf(1667005,plain,(addition(antidomain(coantidomain(X1)),antidomain(coantidomain(X2)))=addition(antidomain(coantidomain(X1)),antidomain(multiplication(coantidomain(X2),coantidomain(X1))))),inference(rw,[status(thm)],[1666285,1520526,theory(equality)])).
% cnf(1667006,plain,(addition(antidomain(coantidomain(X1)),antidomain(coantidomain(X2)))=antidomain(multiplication(coantidomain(X2),coantidomain(X1)))),inference(rw,[status(thm)],[1667005,1133772,theory(equality)])).
% cnf(1667073,plain,(addition(antidomain(antidomain(X1)),antidomain(coantidomain(X2)))=addition(antidomain(antidomain(X1)),antidomain(multiplication(coantidomain(X2),antidomain(X1))))),inference(rw,[status(thm)],[1666354,1526466,theory(equality)])).
% cnf(1667074,plain,(addition(antidomain(antidomain(X1)),antidomain(coantidomain(X2)))=antidomain(multiplication(coantidomain(X2),antidomain(X1)))),inference(rw,[status(thm)],[1667073,1133772,theory(equality)])).
% cnf(1668247,plain,(addition(antidomain(coantidomain(X1)),antidomain(antidomain(coantidomain(X2))))=antidomain(multiplication(antidomain(coantidomain(X2)),coantidomain(X1)))),inference(spm,[status(thm)],[1667006,121673,theory(equality)])).
% cnf(1668891,plain,(addition(antidomain(coantidomain(X1)),coantidomain(X2))=antidomain(multiplication(antidomain(coantidomain(X2)),coantidomain(X1)))),inference(rw,[status(thm)],[1668247,122078,theory(equality)])).
% cnf(1669127,plain,(antidomain(multiplication(coantidomain(X2),antidomain(X1)))=addition(antidomain(coantidomain(X2)),antidomain(antidomain(X1)))),inference(spm,[status(thm)],[28,1667074,theory(equality)])).
% cnf(1669955,plain,(addition(antidomain(antidomain(X1)),antidomain(antidomain(antidomain(X2))))=antidomain(multiplication(antidomain(antidomain(X2)),antidomain(X1)))),inference(spm,[status(thm)],[1667074,207874,theory(equality)])).
% cnf(1670623,plain,(addition(antidomain(antidomain(X1)),antidomain(X2))=antidomain(multiplication(antidomain(antidomain(X2)),antidomain(X1)))),inference(rw,[status(thm)],[1669955,6063,theory(equality)])).
% cnf(1671732,plain,(antidomain(multiplication(antidomain(antidomain(antidomain(X1))),coantidomain(X2)))=addition(antidomain(coantidomain(X2)),antidomain(antidomain(X1)))),inference(spm,[status(thm)],[1668891,207874,theory(equality)])).
% cnf(1672313,plain,(antidomain(multiplication(antidomain(X1),coantidomain(X2)))=addition(antidomain(coantidomain(X2)),antidomain(antidomain(X1)))),inference(rw,[status(thm)],[1671732,6063,theory(equality)])).
% cnf(1696750,plain,(antidomain(multiplication(coantidomain(X2),antidomain(X1)))=antidomain(multiplication(antidomain(X1),coantidomain(X2)))),inference(rw,[status(thm)],[1672313,1669127,theory(equality)])).
% cnf(1698559,plain,(antidomain(multiplication(antidomain(antidomain(X1)),antidomain(X2)))=antidomain(multiplication(antidomain(X2),antidomain(antidomain(X1))))),inference(spm,[status(thm)],[1696750,207874,theory(equality)])).
% cnf(1700247,plain,(addition(antidomain(antidomain(X2)),antidomain(X1))=antidomain(multiplication(antidomain(X2),antidomain(antidomain(X1))))),inference(rw,[status(thm)],[1698559,1670623,theory(equality)])).
% cnf(1710755,plain,(multiplication(antidomain(multiplication(antidomain(antidomain(X1)),X2)),X2)=multiplication(antidomain(antidomain(multiplication(antidomain(X1),X2))),X2)),inference(spm,[status(thm)],[1665583,1665583,theory(equality)])).
% cnf(1711657,plain,(multiplication(antidomain(X1),X2)=multiplication(antidomain(antidomain(multiplication(antidomain(X1),X2))),X2)),inference(rw,[status(thm)],[inference(rw,[status(thm)],[1710755,1665583,theory(equality)]),6063,theory(equality)])).
% cnf(1780618,plain,(multiplication(antidomain(addition(antidomain(antidomain(X1)),antidomain(X2))),antidomain(antidomain(X2)))=multiplication(antidomain(X1),antidomain(antidomain(X2)))),inference(spm,[status(thm)],[1711657,1700247,theory(equality)])).
% cnf(1781645,plain,(antidomain(addition(antidomain(antidomain(X1)),antidomain(X2)))=multiplication(antidomain(X1),antidomain(antidomain(X2)))),inference(rw,[status(thm)],[1780618,1162501,theory(equality)])).
% cnf(1782524,plain,(antidomain(multiplication(multiplication(antidomain(X1),antidomain(antidomain(X2))),X2))=antidomain(multiplication(antidomain(X1),antidomain(antidomain(X2))))),inference(spm,[status(thm)],[1529419,1781645,theory(equality)])).
% cnf(1783412,plain,(antidomain(multiplication(antidomain(X1),X2))=antidomain(multiplication(antidomain(X1),antidomain(antidomain(X2))))),inference(rw,[status(thm)],[inference(rw,[status(thm)],[1782524,24,theory(equality)]),4521,theory(equality)])).
% cnf(1783413,plain,(antidomain(multiplication(antidomain(X1),X2))=addition(antidomain(antidomain(X1)),antidomain(X2))),inference(rw,[status(thm)],[1783412,1700247,theory(equality)])).
% cnf(1783792,plain,(multiplication(antidomain(antidomain(antidomain(X1))),antidomain(multiplication(antidomain(X1),X2)))=multiplication(antidomain(antidomain(antidomain(X1))),antidomain(X2))),inference(spm,[status(thm)],[3035,1783413,theory(equality)])).
% cnf(1784816,plain,(multiplication(antidomain(X1),antidomain(multiplication(antidomain(X1),X2)))=multiplication(antidomain(antidomain(antidomain(X1))),antidomain(X2))),inference(rw,[status(thm)],[1783792,6063,theory(equality)])).
% cnf(1784817,plain,(multiplication(antidomain(X1),antidomain(multiplication(antidomain(X1),X2)))=multiplication(antidomain(X1),antidomain(X2))),inference(rw,[status(thm)],[1784816,6063,theory(equality)])).
% cnf(1869536,plain,(multiplication(antidomain(X1),antidomain(multiplication(antidomain(X1),X2)))=multiplication(antidomain(X1),antidomain(addition(X2,X1)))),inference(spm,[status(thm)],[1784817,151,theory(equality)])).
% cnf(1870393,plain,(multiplication(antidomain(X1),antidomain(X2))=multiplication(antidomain(X1),antidomain(addition(X2,X1)))),inference(rw,[status(thm)],[1869536,1784817,theory(equality)])).
% cnf(1870394,plain,(multiplication(antidomain(X1),antidomain(X2))=antidomain(addition(X2,X1))),inference(rw,[status(thm)],[1870393,1150738,theory(equality)])).
% cnf(1871277,plain,(multiplication(antidomain(X1),antidomain(X2))=antidomain(addition(X2,antidomain(antidomain(X1))))),inference(spm,[status(thm)],[1870394,6063,theory(equality)])).
% cnf(1871339,plain,(antidomain(addition(X1,antidomain(addition(antidomain(X1),X2))))=antidomain(X1)),inference(rw,[status(thm)],[inference(rw,[status(thm)],[513237,1870394,theory(equality)]),28,theory(equality)])).
% cnf(1871853,plain,(antidomain(addition(X2,X1))=antidomain(addition(X2,antidomain(antidomain(X1))))),inference(rw,[status(thm)],[1871277,1870394,theory(equality)])).
% cnf(1896720,plain,(antidomain(addition(multiplication(X1,X2),antidomain(antidomain(multiplication(X1,antidomain(antidomain(X2)))))))=antidomain(multiplication(X1,X2))),inference(spm,[status(thm)],[1871339,48,theory(equality)])).
% cnf(1897460,plain,(antidomain(multiplication(X1,antidomain(antidomain(X2))))=antidomain(multiplication(X1,X2))),inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1896720,1871853,theory(equality)]),34,theory(equality)]),1254777,theory(equality)])).
% cnf(1898371,negated_conjecture,($false),inference(rw,[status(thm)],[69,1897460,theory(equality)])).
% cnf(1898372,negated_conjecture,($false),inference(cn,[status(thm)],[1898371,theory(equality)])).
% cnf(1898373,negated_conjecture,($false),1898372,['proof']).
% # SZS output end CNFRefutation
% # Processed clauses : 26237
% # ...of these trivial : 7855
% # ...subsumed : 16090
% # ...remaining for further processing: 2292
% # Other redundant clauses eliminated : 0
% # Clauses deleted for lack of memory : 0
% # Backward-subsumed : 3
% # Backward-rewritten : 681
% # Generated clauses : 986509
% # ...of the previous two non-trivial : 533532
% # Contextual simplify-reflections : 0
% # Paramodulations : 986508
% # Factorizations : 0
% # Equation resolutions : 1
% # Current number of processed clauses: 1608
% # Positive orientable unit clauses: 1284
% # Positive unorientable unit clauses: 23
% # Negative unit clauses : 0
% # Non-unit-clauses : 301
% # Current number of unprocessed clauses: 364856
% # ...number of literals in the above : 457372
% # Clause-clause subsumption calls (NU) : 74144
% # Rec. Clause-clause subsumption calls : 74144
% # Unit Clause-clause subsumption calls : 1133
% # Rewrite failures with RHS unbound : 0
% # Indexed BW rewrite attempts : 12168
% # Indexed BW rewrite successes : 883
% # Backwards rewriting index: 815 leaves, 3.49+/-4.213 terms/leaf
% # Paramod-from index: 496 leaves, 2.67+/-2.669 terms/leaf
% # Paramod-into index: 705 leaves, 3.40+/-3.958 terms/leaf
% # -------------------------------------------------
% # User time : 29.015 s
% # System time : 1.182 s
% # Total time : 30.196 s
% # Maximum resident set size: 0 pages
% PrfWatch: 54.56 CPU 55.15 WC
% FINAL PrfWatch: 54.56 CPU 55.15 WC
% SZS output end Solution for /tmp/SystemOnTPTP22313/KLE084+1.tptp
%
%------------------------------------------------------------------------------