TSTP Solution File: KLE110+1 by Enigma---0.5.1
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : KLE110+1 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : enigmatic-eprover.py %s %d 1
% Computer : n019.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 600s
% DateTime : Sun Jul 17 01:50:11 EDT 2022
% Result : Theorem 219.81s 28.95s
% Output : CNFRefutation 219.81s
% Verified :
% SZS Type : Refutation
% Derivation depth : 28
% Number of leaves : 18
% Syntax : Number of clauses : 226 ( 226 unt; 0 nHn; 13 RR)
% Number of literals : 226 ( 225 equ; 8 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 20 ( 3 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 4 con; 0-2 aty)
% Number of variables : 396 ( 39 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(i_0_14,plain,
addition(antidomain(antidomain(X1)),antidomain(X1)) = one,
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-y3nrjfzq/input.p',i_0_14) ).
cnf(i_0_2,plain,
addition(X1,X2) = addition(X2,X1),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-y3nrjfzq/input.p',i_0_2) ).
cnf(i_0_24,plain,
multiplication(X1,one) = X1,
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-y3nrjfzq/input.p',i_0_24) ).
cnf(i_0_12,plain,
multiplication(antidomain(X1),X1) = zero,
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-y3nrjfzq/input.p',i_0_12) ).
cnf(i_0_4,plain,
addition(X1,zero) = X1,
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-y3nrjfzq/input.p',i_0_4) ).
cnf(i_0_1,plain,
addition(addition(X1,X2),X3) = addition(X1,addition(X2,X3)),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-y3nrjfzq/input.p',i_0_1) ).
cnf(i_0_3,plain,
addition(X1,X1) = X1,
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-y3nrjfzq/input.p',i_0_3) ).
cnf(i_0_13,plain,
addition(antidomain(multiplication(X1,X2)),antidomain(multiplication(X1,antidomain(antidomain(X2))))) = antidomain(multiplication(X1,antidomain(antidomain(X2)))),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-y3nrjfzq/input.p',i_0_13) ).
cnf(i_0_7,plain,
multiplication(X1,coantidomain(X1)) = zero,
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-y3nrjfzq/input.p',i_0_7) ).
cnf(i_0_28,plain,
addition(multiplication(X1,X2),multiplication(X1,X3)) = multiplication(X1,addition(X2,X3)),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-y3nrjfzq/input.p',i_0_28) ).
cnf(i_0_22,plain,
multiplication(multiplication(X1,X2),X3) = multiplication(X1,multiplication(X2,X3)),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-y3nrjfzq/input.p',i_0_22) ).
cnf(i_0_20,plain,
multiplication(zero,X1) = zero,
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-y3nrjfzq/input.p',i_0_20) ).
cnf(i_0_21,plain,
addition(multiplication(X1,X2),multiplication(X3,X2)) = multiplication(addition(X1,X3),X2),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-y3nrjfzq/input.p',i_0_21) ).
cnf(i_0_23,plain,
multiplication(one,X1) = X1,
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-y3nrjfzq/input.p',i_0_23) ).
cnf(i_0_9,plain,
addition(coantidomain(coantidomain(X1)),coantidomain(X1)) = one,
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-y3nrjfzq/input.p',i_0_9) ).
cnf(i_0_8,plain,
addition(coantidomain(multiplication(X1,X2)),coantidomain(multiplication(coantidomain(coantidomain(X1)),X2))) = coantidomain(multiplication(coantidomain(coantidomain(X1)),X2)),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-y3nrjfzq/input.p',i_0_8) ).
cnf(i_0_19,negated_conjecture,
addition(antidomain(antidomain(esk1_0)),antidomain(antidomain(antidomain(coantidomain(coantidomain(multiplication(coantidomain(coantidomain(antidomain(antidomain(antidomain(antidomain(antidomain(multiplication(esk2_0,antidomain(antidomain(antidomain(antidomain(esk1_0)))))))))))),esk2_0))))))) != antidomain(antidomain(antidomain(coantidomain(coantidomain(multiplication(coantidomain(coantidomain(antidomain(antidomain(antidomain(antidomain(antidomain(multiplication(esk2_0,antidomain(antidomain(antidomain(antidomain(esk1_0)))))))))))),esk2_0)))))),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-y3nrjfzq/input.p',i_0_19) ).
cnf(i_0_27,plain,
multiplication(X1,zero) = zero,
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-y3nrjfzq/input.p',i_0_27) ).
cnf(c_0_47,plain,
addition(antidomain(antidomain(X1)),antidomain(X1)) = one,
i_0_14 ).
cnf(c_0_48,plain,
addition(X1,X2) = addition(X2,X1),
i_0_2 ).
cnf(c_0_49,plain,
multiplication(X1,one) = X1,
i_0_24 ).
cnf(c_0_50,plain,
multiplication(antidomain(X1),X1) = zero,
i_0_12 ).
cnf(c_0_51,plain,
addition(X1,zero) = X1,
i_0_4 ).
cnf(c_0_52,plain,
addition(addition(X1,X2),X3) = addition(X1,addition(X2,X3)),
i_0_1 ).
cnf(c_0_53,plain,
addition(X1,X1) = X1,
i_0_3 ).
cnf(c_0_54,plain,
addition(antidomain(multiplication(X1,X2)),antidomain(multiplication(X1,antidomain(antidomain(X2))))) = antidomain(multiplication(X1,antidomain(antidomain(X2)))),
i_0_13 ).
cnf(c_0_55,plain,
multiplication(X1,coantidomain(X1)) = zero,
i_0_7 ).
cnf(c_0_56,plain,
addition(antidomain(X1),antidomain(antidomain(X1))) = one,
inference(rw,[status(thm)],[c_0_47,c_0_48]) ).
cnf(c_0_57,plain,
antidomain(one) = zero,
inference(spm,[status(thm)],[c_0_49,c_0_50]) ).
cnf(c_0_58,plain,
addition(zero,X1) = X1,
inference(spm,[status(thm)],[c_0_51,c_0_48]) ).
cnf(c_0_59,plain,
addition(multiplication(X1,X2),multiplication(X1,X3)) = multiplication(X1,addition(X2,X3)),
i_0_28 ).
cnf(c_0_60,plain,
multiplication(multiplication(X1,X2),X3) = multiplication(X1,multiplication(X2,X3)),
i_0_22 ).
cnf(c_0_61,plain,
multiplication(zero,X1) = zero,
i_0_20 ).
cnf(c_0_62,plain,
addition(X1,addition(X1,X2)) = addition(X1,X2),
inference(spm,[status(thm)],[c_0_52,c_0_53]) ).
cnf(c_0_63,plain,
addition(antidomain(zero),antidomain(multiplication(X1,antidomain(antidomain(coantidomain(X1)))))) = antidomain(multiplication(X1,antidomain(antidomain(coantidomain(X1))))),
inference(spm,[status(thm)],[c_0_54,c_0_55]) ).
cnf(c_0_64,plain,
antidomain(zero) = one,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_56,c_0_57]),c_0_58]) ).
cnf(c_0_65,plain,
multiplication(antidomain(X1),addition(X2,X1)) = multiplication(antidomain(X1),X2),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_59,c_0_50]),c_0_51]) ).
cnf(c_0_66,plain,
multiplication(antidomain(X1),multiplication(X1,X2)) = zero,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_60,c_0_50]),c_0_61]) ).
cnf(c_0_67,plain,
addition(one,antidomain(X1)) = one,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_62,c_0_56]),c_0_48]) ).
cnf(c_0_68,plain,
addition(one,antidomain(multiplication(X1,antidomain(antidomain(coantidomain(X1)))))) = antidomain(multiplication(X1,antidomain(antidomain(coantidomain(X1))))),
inference(rw,[status(thm)],[c_0_63,c_0_64]) ).
cnf(c_0_69,plain,
addition(multiplication(X1,X2),multiplication(X3,X2)) = multiplication(addition(X1,X3),X2),
i_0_21 ).
cnf(c_0_70,plain,
multiplication(antidomain(multiplication(X1,X2)),multiplication(X1,addition(X3,X2))) = multiplication(antidomain(multiplication(X1,X2)),multiplication(X1,X3)),
inference(spm,[status(thm)],[c_0_65,c_0_59]) ).
cnf(c_0_71,plain,
antidomain(multiplication(antidomain(X1),antidomain(antidomain(multiplication(X1,X2))))) = one,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_54,c_0_66]),c_0_64]),c_0_67]) ).
cnf(c_0_72,plain,
multiplication(one,X1) = X1,
i_0_23 ).
cnf(c_0_73,plain,
multiplication(antidomain(X1),addition(X1,X2)) = multiplication(antidomain(X1),X2),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_59,c_0_50]),c_0_58]) ).
cnf(c_0_74,plain,
antidomain(multiplication(X1,antidomain(antidomain(coantidomain(X1))))) = one,
inference(rw,[status(thm)],[c_0_68,c_0_67]) ).
cnf(c_0_75,plain,
multiplication(addition(antidomain(X1),X2),X1) = multiplication(X2,X1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_69,c_0_50]),c_0_58]) ).
cnf(c_0_76,plain,
addition(coantidomain(coantidomain(X1)),coantidomain(X1)) = one,
i_0_9 ).
cnf(c_0_77,plain,
multiplication(antidomain(multiplication(X1,antidomain(antidomain(X2)))),multiplication(X1,antidomain(X2))) = multiplication(antidomain(multiplication(X1,antidomain(antidomain(X2)))),X1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_70,c_0_56]),c_0_49]) ).
cnf(c_0_78,plain,
multiplication(antidomain(X1),antidomain(antidomain(multiplication(X1,X2)))) = zero,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_50,c_0_71]),c_0_72]) ).
cnf(c_0_79,plain,
multiplication(antidomain(multiplication(X1,X2)),multiplication(addition(X1,X3),X2)) = multiplication(antidomain(multiplication(X1,X2)),multiplication(X3,X2)),
inference(spm,[status(thm)],[c_0_73,c_0_69]) ).
cnf(c_0_80,plain,
multiplication(X1,antidomain(antidomain(coantidomain(X1)))) = zero,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_50,c_0_74]),c_0_72]) ).
cnf(c_0_81,plain,
multiplication(antidomain(antidomain(X1)),X1) = X1,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_75,c_0_56]),c_0_72]) ).
cnf(c_0_82,plain,
multiplication(X1,addition(coantidomain(X1),X2)) = multiplication(X1,X2),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_59,c_0_55]),c_0_58]) ).
cnf(c_0_83,plain,
addition(coantidomain(X1),coantidomain(coantidomain(X1))) = one,
inference(rw,[status(thm)],[c_0_76,c_0_48]) ).
cnf(c_0_84,plain,
addition(antidomain(X1),addition(antidomain(antidomain(X1)),X2)) = addition(one,X2),
inference(spm,[status(thm)],[c_0_52,c_0_56]) ).
cnf(c_0_85,plain,
addition(X1,multiplication(X2,X1)) = multiplication(addition(X2,one),X1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_69,c_0_72]),c_0_48]) ).
cnf(c_0_86,plain,
multiplication(antidomain(X1),antidomain(multiplication(X1,X2))) = antidomain(X1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_77,c_0_78]),c_0_64]),c_0_72]),c_0_64]),c_0_72]) ).
cnf(c_0_87,plain,
multiplication(antidomain(multiplication(antidomain(X1),X2)),multiplication(antidomain(antidomain(X1)),X2)) = multiplication(antidomain(multiplication(antidomain(X1),X2)),X2),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_79,c_0_56]),c_0_72]) ).
cnf(c_0_88,plain,
multiplication(X1,multiplication(X2,coantidomain(multiplication(X1,X2)))) = zero,
inference(spm,[status(thm)],[c_0_55,c_0_60]) ).
cnf(c_0_89,plain,
coantidomain(one) = zero,
inference(spm,[status(thm)],[c_0_72,c_0_55]) ).
cnf(c_0_90,plain,
multiplication(X1,addition(antidomain(antidomain(coantidomain(X1))),X2)) = multiplication(X1,X2),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_59,c_0_80]),c_0_58]) ).
cnf(c_0_91,plain,
antidomain(antidomain(antidomain(X1))) = antidomain(X1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_65,c_0_56]),c_0_49]),c_0_81]) ).
cnf(c_0_92,plain,
multiplication(addition(X1,X2),coantidomain(X2)) = multiplication(X1,coantidomain(X2)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_69,c_0_55]),c_0_51]) ).
cnf(c_0_93,plain,
multiplication(X1,coantidomain(coantidomain(X1))) = X1,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_82,c_0_83]),c_0_49]) ).
cnf(c_0_94,plain,
multiplication(addition(X1,antidomain(X2)),X2) = multiplication(X1,X2),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_69,c_0_50]),c_0_51]) ).
cnf(c_0_95,plain,
multiplication(antidomain(multiplication(X1,X2)),multiplication(addition(X3,X1),X2)) = multiplication(antidomain(multiplication(X1,X2)),multiplication(X3,X2)),
inference(spm,[status(thm)],[c_0_65,c_0_69]) ).
cnf(c_0_96,plain,
multiplication(addition(antidomain(antidomain(X1)),X2),X1) = multiplication(addition(one,X2),X1),
inference(spm,[status(thm)],[c_0_75,c_0_84]) ).
cnf(c_0_97,plain,
addition(antidomain(X1),antidomain(multiplication(X1,X2))) = antidomain(multiplication(X1,X2)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_85,c_0_86]),c_0_48]),c_0_67]),c_0_72]),c_0_48]) ).
cnf(c_0_98,plain,
multiplication(antidomain(antidomain(X1)),multiplication(X2,coantidomain(multiplication(antidomain(X1),X2)))) = multiplication(X2,coantidomain(multiplication(antidomain(X1),X2))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_87,c_0_88]),c_0_64]),c_0_72]),c_0_64]),c_0_72]) ).
cnf(c_0_99,plain,
multiplication(antidomain(addition(X1,X2)),X1) = zero,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_65,c_0_62]),c_0_50]) ).
cnf(c_0_100,plain,
coantidomain(zero) = one,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_83,c_0_89]),c_0_58]) ).
cnf(c_0_101,plain,
multiplication(X1,antidomain(coantidomain(X1))) = X1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_90,c_0_56]),c_0_49]),c_0_91]) ).
cnf(c_0_102,plain,
coantidomain(coantidomain(coantidomain(X1))) = coantidomain(X1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_92,c_0_83]),c_0_72]),c_0_93]) ).
cnf(c_0_103,plain,
multiplication(antidomain(multiplication(X1,X2)),multiplication(X1,addition(X2,X3))) = multiplication(antidomain(multiplication(X1,X2)),multiplication(X1,X3)),
inference(spm,[status(thm)],[c_0_73,c_0_59]) ).
cnf(c_0_104,plain,
multiplication(antidomain(multiplication(X1,X2)),multiplication(X1,antidomain(antidomain(X2)))) = zero,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_94,c_0_54]),c_0_50]) ).
cnf(c_0_105,plain,
multiplication(antidomain(X1),multiplication(antidomain(X2),X1)) = zero,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_79,c_0_67]),c_0_72]),c_0_72]),c_0_50]),c_0_72]) ).
cnf(c_0_106,plain,
multiplication(antidomain(multiplication(antidomain(antidomain(X1)),X2)),multiplication(antidomain(X1),X2)) = multiplication(antidomain(multiplication(antidomain(antidomain(X1)),X2)),X2),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_95,c_0_56]),c_0_72]) ).
cnf(c_0_107,plain,
multiplication(antidomain(multiplication(antidomain(X1),X2)),X1) = X1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_96,c_0_97]),c_0_67]),c_0_72]) ).
cnf(c_0_108,plain,
addition(X1,addition(X2,X1)) = addition(X2,X1),
inference(spm,[status(thm)],[c_0_62,c_0_48]) ).
cnf(c_0_109,plain,
multiplication(antidomain(antidomain(addition(X1,X2))),X1) = X1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_98,c_0_99]),c_0_100]),c_0_49]),c_0_100]),c_0_49]) ).
cnf(c_0_110,plain,
addition(coantidomain(X1),addition(coantidomain(coantidomain(X1)),X2)) = addition(one,X2),
inference(spm,[status(thm)],[c_0_52,c_0_83]) ).
cnf(c_0_111,plain,
addition(X1,addition(X2,X3)) = addition(X2,addition(X3,X1)),
inference(spm,[status(thm)],[c_0_52,c_0_48]) ).
cnf(c_0_112,plain,
multiplication(coantidomain(coantidomain(X1)),antidomain(coantidomain(X1))) = coantidomain(coantidomain(X1)),
inference(spm,[status(thm)],[c_0_101,c_0_102]) ).
cnf(c_0_113,plain,
addition(one,coantidomain(X1)) = one,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_62,c_0_83]),c_0_48]) ).
cnf(c_0_114,plain,
multiplication(antidomain(multiplication(X1,antidomain(X2))),multiplication(X1,antidomain(antidomain(X2)))) = multiplication(antidomain(multiplication(X1,antidomain(X2))),X1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_103,c_0_56]),c_0_49]) ).
cnf(c_0_115,plain,
multiplication(antidomain(X1),antidomain(antidomain(multiplication(antidomain(X2),X1)))) = zero,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_104,c_0_105]),c_0_64]),c_0_72]) ).
cnf(c_0_116,plain,
multiplication(antidomain(X1),antidomain(antidomain(multiplication(antidomain(X1),X2)))) = antidomain(antidomain(multiplication(antidomain(X1),X2))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_106,c_0_78]),c_0_64]),c_0_72]),c_0_64]),c_0_72]) ).
cnf(c_0_117,plain,
multiplication(antidomain(X1),multiplication(antidomain(X2),antidomain(X1))) = multiplication(antidomain(X2),antidomain(X1)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_106,c_0_105]),c_0_64]),c_0_72]),c_0_64]),c_0_72]) ).
cnf(c_0_118,plain,
multiplication(antidomain(multiplication(antidomain(X1),X2)),multiplication(X1,X3)) = multiplication(X1,X3),
inference(spm,[status(thm)],[c_0_60,c_0_107]) ).
cnf(c_0_119,plain,
multiplication(antidomain(antidomain(multiplication(X1,X2))),multiplication(X1,antidomain(antidomain(X2)))) = multiplication(X1,antidomain(antidomain(X2))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_87,c_0_104]),c_0_64]),c_0_72]),c_0_64]),c_0_72]) ).
cnf(c_0_120,plain,
multiplication(antidomain(addition(X1,X2)),X2) = zero,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_65,c_0_108]),c_0_50]) ).
cnf(c_0_121,plain,
multiplication(antidomain(addition(X1,X2)),antidomain(X1)) = antidomain(addition(X1,X2)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_86,c_0_109]),c_0_91]),c_0_91]) ).
cnf(c_0_122,plain,
addition(coantidomain(X1),addition(X2,coantidomain(coantidomain(X1)))) = addition(one,X2),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_110,c_0_102]),c_0_111]) ).
cnf(c_0_123,plain,
addition(antidomain(coantidomain(X1)),coantidomain(coantidomain(X1))) = antidomain(coantidomain(X1)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_85,c_0_112]),c_0_48]),c_0_113]),c_0_72]) ).
cnf(c_0_124,plain,
multiplication(antidomain(antidomain(X1)),multiplication(antidomain(X2),X1)) = multiplication(antidomain(X2),X1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_87,c_0_105]),c_0_64]),c_0_72]),c_0_64]),c_0_72]) ).
cnf(c_0_125,plain,
multiplication(antidomain(X1),antidomain(multiplication(antidomain(X2),X1))) = antidomain(X1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_114,c_0_115]),c_0_64]),c_0_91]),c_0_72]),c_0_64]),c_0_72]) ).
cnf(c_0_126,plain,
multiplication(antidomain(multiplication(antidomain(X1),X2)),antidomain(X1)) = multiplication(antidomain(X1),antidomain(multiplication(antidomain(X1),X2))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_114,c_0_116]),c_0_91]),c_0_91]),c_0_91]),c_0_117]) ).
cnf(c_0_127,plain,
multiplication(antidomain(multiplication(antidomain(antidomain(X1)),X2)),X2) = multiplication(antidomain(X1),X2),
inference(rw,[status(thm)],[c_0_106,c_0_118]) ).
cnf(c_0_128,plain,
multiplication(antidomain(multiplication(X1,X2)),antidomain(multiplication(X1,antidomain(antidomain(X2))))) = antidomain(multiplication(X1,X2)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_86,c_0_119]),c_0_91]),c_0_91]) ).
cnf(c_0_129,plain,
antidomain(addition(X1,antidomain(X1))) = zero,
inference(spm,[status(thm)],[c_0_120,c_0_121]) ).
cnf(c_0_130,plain,
multiplication(antidomain(multiplication(X1,X2)),antidomain(X1)) = antidomain(X1),
inference(spm,[status(thm)],[c_0_117,c_0_86]) ).
cnf(c_0_131,plain,
multiplication(X1,addition(X2,coantidomain(X1))) = multiplication(X1,X2),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_59,c_0_55]),c_0_51]) ).
cnf(c_0_132,plain,
addition(coantidomain(multiplication(X1,X2)),coantidomain(multiplication(coantidomain(coantidomain(X1)),X2))) = coantidomain(multiplication(coantidomain(coantidomain(X1)),X2)),
i_0_8 ).
cnf(c_0_133,plain,
multiplication(addition(X1,X2),coantidomain(X1)) = multiplication(X2,coantidomain(X1)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_69,c_0_55]),c_0_58]) ).
cnf(c_0_134,plain,
addition(coantidomain(X1),antidomain(coantidomain(X1))) = one,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_122,c_0_123]),c_0_67]) ).
cnf(c_0_135,plain,
multiplication(antidomain(coantidomain(X1)),coantidomain(coantidomain(X1))) = antidomain(coantidomain(X1)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_73,c_0_83]),c_0_49]) ).
cnf(c_0_136,plain,
multiplication(antidomain(multiplication(antidomain(X1),X2)),antidomain(X2)) = antidomain(X2),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_124,c_0_125]),c_0_91]) ).
cnf(c_0_137,plain,
multiplication(antidomain(multiplication(antidomain(X1),antidomain(X2))),antidomain(X2)) = multiplication(antidomain(X2),antidomain(multiplication(antidomain(X1),antidomain(X2)))),
inference(spm,[status(thm)],[c_0_126,c_0_117]) ).
cnf(c_0_138,plain,
multiplication(antidomain(multiplication(antidomain(X1),X2)),X2) = multiplication(antidomain(antidomain(X1)),X2),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_107,c_0_127]),c_0_87]) ).
cnf(c_0_139,plain,
antidomain(multiplication(X1,addition(X2,antidomain(X2)))) = antidomain(X1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_128,c_0_129]),c_0_64]),c_0_49]),c_0_130]) ).
cnf(c_0_140,plain,
multiplication(coantidomain(coantidomain(X1)),multiplication(X2,coantidomain(multiplication(X1,X2)))) = zero,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_131,c_0_132]),c_0_60]),c_0_88]),c_0_60]) ).
cnf(c_0_141,plain,
coantidomain(coantidomain(X1)) = antidomain(coantidomain(X1)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_133,c_0_134]),c_0_72]),c_0_135]) ).
cnf(c_0_142,plain,
multiplication(antidomain(multiplication(antidomain(X1),antidomain(X2))),antidomain(multiplication(antidomain(antidomain(X1)),antidomain(X2)))) = antidomain(antidomain(X2)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_114,c_0_127]),c_0_136]),c_0_136]) ).
cnf(c_0_143,plain,
multiplication(antidomain(X1),antidomain(multiplication(antidomain(X2),antidomain(X1)))) = multiplication(antidomain(antidomain(X2)),antidomain(X1)),
inference(rw,[status(thm)],[c_0_137,c_0_138]) ).
cnf(c_0_144,plain,
antidomain(multiplication(X1,multiplication(X2,addition(X3,antidomain(X3))))) = antidomain(multiplication(X1,X2)),
inference(spm,[status(thm)],[c_0_139,c_0_60]) ).
cnf(c_0_145,plain,
multiplication(antidomain(antidomain(multiplication(X1,X2))),antidomain(X1)) = zero,
inference(spm,[status(thm)],[c_0_105,c_0_86]) ).
cnf(c_0_146,plain,
multiplication(X1,multiplication(coantidomain(coantidomain(X1)),X2)) = multiplication(X1,X2),
inference(spm,[status(thm)],[c_0_60,c_0_93]) ).
cnf(c_0_147,plain,
multiplication(antidomain(coantidomain(X1)),multiplication(X2,coantidomain(multiplication(X1,X2)))) = zero,
inference(rw,[status(thm)],[c_0_140,c_0_141]) ).
cnf(c_0_148,plain,
antidomain(antidomain(coantidomain(X1))) = coantidomain(X1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_65,c_0_134]),c_0_49]),c_0_81]) ).
cnf(c_0_149,plain,
antidomain(antidomain(multiplication(antidomain(X1),antidomain(X2)))) = multiplication(antidomain(X1),antidomain(X2)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_142,c_0_143]),c_0_125]),c_0_91]),c_0_138]),c_0_91]) ).
cnf(c_0_150,plain,
antidomain(multiplication(X1,antidomain(antidomain(X2)))) = antidomain(multiplication(X1,X2)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_144,c_0_65]),c_0_81]) ).
cnf(c_0_151,plain,
multiplication(antidomain(antidomain(multiplication(antidomain(X1),X2))),antidomain(X1)) = antidomain(antidomain(multiplication(antidomain(X1),X2))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_77,c_0_145]),c_0_64]),c_0_72]),c_0_64]),c_0_72]) ).
cnf(c_0_152,plain,
multiplication(X1,multiplication(antidomain(coantidomain(X1)),X2)) = multiplication(X1,X2),
inference(rw,[status(thm)],[c_0_146,c_0_141]) ).
cnf(c_0_153,plain,
multiplication(coantidomain(X1),multiplication(X2,coantidomain(multiplication(X1,X2)))) = multiplication(X2,coantidomain(multiplication(X1,X2))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_87,c_0_147]),c_0_64]),c_0_148]),c_0_72]),c_0_64]),c_0_72]) ).
cnf(c_0_154,plain,
multiplication(X1,coantidomain(addition(X1,X2))) = zero,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_92,c_0_62]),c_0_55]) ).
cnf(c_0_155,plain,
addition(antidomain(X1),antidomain(antidomain(antidomain(X1)))) = antidomain(antidomain(antidomain(X1))),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_54,c_0_72]),c_0_72]) ).
cnf(c_0_156,plain,
multiplication(antidomain(X1),antidomain(antidomain(X2))) = antidomain(antidomain(multiplication(antidomain(X1),X2))),
inference(spm,[status(thm)],[c_0_149,c_0_150]) ).
cnf(c_0_157,plain,
multiplication(antidomain(X1),antidomain(X2)) = multiplication(antidomain(X2),antidomain(X1)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_151,c_0_149]),c_0_60]),c_0_117]) ).
cnf(c_0_158,plain,
multiplication(X1,antidomain(multiplication(coantidomain(X1),X2))) = X1,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_152,c_0_86]),c_0_101]) ).
cnf(c_0_159,plain,
antidomain(antidomain(multiplication(antidomain(X1),coantidomain(X2)))) = multiplication(antidomain(X1),coantidomain(X2)),
inference(spm,[status(thm)],[c_0_149,c_0_148]) ).
cnf(c_0_160,plain,
multiplication(coantidomain(X1),coantidomain(addition(X1,X2))) = coantidomain(addition(X1,X2)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_153,c_0_154]),c_0_100]),c_0_49]),c_0_100]),c_0_49]) ).
cnf(c_0_161,plain,
coantidomain(multiplication(coantidomain(coantidomain(antidomain(X1))),X1)) = one,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_132,c_0_50]),c_0_100]),c_0_113]) ).
cnf(c_0_162,plain,
multiplication(antidomain(X1),antidomain(antidomain(X1))) = zero,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_94,c_0_155]),c_0_50]) ).
cnf(c_0_163,plain,
multiplication(antidomain(antidomain(X1)),antidomain(X2)) = antidomain(antidomain(multiplication(antidomain(X2),X1))),
inference(spm,[status(thm)],[c_0_156,c_0_157]) ).
cnf(c_0_164,plain,
multiplication(X1,antidomain(multiplication(X2,coantidomain(multiplication(X1,X2))))) = X1,
inference(spm,[status(thm)],[c_0_158,c_0_153]) ).
cnf(c_0_165,plain,
addition(X1,multiplication(X1,X2)) = multiplication(X1,addition(X2,one)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_59,c_0_49]),c_0_48]) ).
cnf(c_0_166,plain,
antidomain(antidomain(multiplication(coantidomain(X1),coantidomain(X2)))) = multiplication(coantidomain(X1),coantidomain(X2)),
inference(spm,[status(thm)],[c_0_159,c_0_148]) ).
cnf(c_0_167,plain,
multiplication(antidomain(antidomain(multiplication(coantidomain(X1),X2))),coantidomain(X1)) = antidomain(antidomain(multiplication(coantidomain(X1),X2))),
inference(spm,[status(thm)],[c_0_151,c_0_148]) ).
cnf(c_0_168,plain,
multiplication(coantidomain(multiplication(X1,X2)),coantidomain(multiplication(X1,addition(X2,X3)))) = coantidomain(multiplication(X1,addition(X2,X3))),
inference(spm,[status(thm)],[c_0_160,c_0_59]) ).
cnf(c_0_169,plain,
multiplication(coantidomain(coantidomain(antidomain(X1))),X1) = zero,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_55,c_0_161]),c_0_60]),c_0_49]) ).
cnf(c_0_170,plain,
multiplication(antidomain(X1),addition(antidomain(antidomain(X1)),X2)) = multiplication(antidomain(X1),X2),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_59,c_0_162]),c_0_58]) ).
cnf(c_0_171,plain,
addition(multiplication(X1,X2),multiplication(addition(X1,antidomain(X2)),X3)) = multiplication(addition(X1,antidomain(X2)),addition(X2,X3)),
inference(spm,[status(thm)],[c_0_59,c_0_94]) ).
cnf(c_0_172,plain,
multiplication(addition(antidomain(X1),X2),antidomain(X1)) = multiplication(addition(one,X2),antidomain(X1)),
inference(spm,[status(thm)],[c_0_96,c_0_91]) ).
cnf(c_0_173,plain,
multiplication(antidomain(X1),antidomain(multiplication(antidomain(X1),X2))) = multiplication(antidomain(X2),antidomain(X1)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_138,c_0_163]),c_0_91]),c_0_126]),c_0_91]) ).
cnf(c_0_174,plain,
multiplication(antidomain(addition(X1,X2)),antidomain(X2)) = antidomain(addition(X1,X2)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_164,c_0_120]),c_0_100]),c_0_49]) ).
cnf(c_0_175,plain,
addition(antidomain(X1),antidomain(multiplication(X2,coantidomain(multiplication(antidomain(X1),X2))))) = antidomain(multiplication(X2,coantidomain(multiplication(antidomain(X1),X2)))),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_97,c_0_98]),c_0_91]) ).
cnf(c_0_176,plain,
multiplication(X1,coantidomain(addition(X2,X1))) = zero,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_92,c_0_108]),c_0_55]) ).
cnf(c_0_177,plain,
multiplication(coantidomain(X1),addition(one,multiplication(X2,coantidomain(multiplication(X1,X2))))) = addition(coantidomain(X1),multiplication(X2,coantidomain(multiplication(X1,X2)))),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_165,c_0_153]),c_0_48]) ).
cnf(c_0_178,plain,
addition(one,multiplication(coantidomain(X1),coantidomain(X2))) = one,
inference(spm,[status(thm)],[c_0_67,c_0_166]) ).
cnf(c_0_179,plain,
multiplication(antidomain(antidomain(X1)),coantidomain(X2)) = antidomain(antidomain(multiplication(coantidomain(X2),X1))),
inference(spm,[status(thm)],[c_0_163,c_0_148]) ).
cnf(c_0_180,plain,
multiplication(coantidomain(multiplication(X1,addition(X2,X3))),coantidomain(multiplication(X1,X2))) = coantidomain(multiplication(X1,addition(X2,X3))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_167,c_0_168]),c_0_148]),c_0_148]) ).
cnf(c_0_181,plain,
multiplication(antidomain(coantidomain(antidomain(X1))),X1) = zero,
inference(rw,[status(thm)],[c_0_169,c_0_141]) ).
cnf(c_0_182,plain,
addition(multiplication(antidomain(X1),X2),multiplication(X3,addition(antidomain(antidomain(X1)),X2))) = multiplication(addition(antidomain(X1),X3),addition(antidomain(antidomain(X1)),X2)),
inference(spm,[status(thm)],[c_0_69,c_0_170]) ).
cnf(c_0_183,plain,
multiplication(addition(antidomain(X1),antidomain(X2)),addition(X2,antidomain(X1))) = multiplication(antidomain(X1),addition(X2,one)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_171,c_0_172]),c_0_67]),c_0_72]),c_0_48]),c_0_165]) ).
cnf(c_0_184,plain,
multiplication(antidomain(X1),antidomain(X2)) = antidomain(addition(X1,X2)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_173,c_0_65]),c_0_173]),c_0_174]) ).
cnf(c_0_185,plain,
addition(antidomain(X1),antidomain(addition(X2,X1))) = antidomain(X1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_175,c_0_120]),c_0_100]),c_0_49]),c_0_100]),c_0_49]),c_0_48]) ).
cnf(c_0_186,plain,
multiplication(X1,antidomain(coantidomain(addition(X2,X1)))) = X1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_164,c_0_176]),c_0_100]),c_0_49]) ).
cnf(c_0_187,plain,
addition(coantidomain(X1),multiplication(coantidomain(X2),coantidomain(multiplication(X1,coantidomain(X2))))) = coantidomain(X1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_177,c_0_178]),c_0_49]) ).
cnf(c_0_188,plain,
multiplication(coantidomain(X1),coantidomain(X2)) = multiplication(coantidomain(X2),coantidomain(X1)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_179,c_0_148]),c_0_166]) ).
cnf(c_0_189,plain,
multiplication(coantidomain(X1),coantidomain(multiplication(X1,coantidomain(X2)))) = coantidomain(X1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_180,c_0_134]),c_0_49]),c_0_49]) ).
cnf(c_0_190,plain,
multiplication(coantidomain(antidomain(X1)),antidomain(X1)) = zero,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_105,c_0_101]),c_0_148]) ).
cnf(c_0_191,plain,
multiplication(coantidomain(antidomain(X1)),X1) = X1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_87,c_0_181]),c_0_64]),c_0_148]),c_0_72]),c_0_64]),c_0_72]) ).
cnf(c_0_192,plain,
multiplication(addition(antidomain(X1),antidomain(X2)),addition(antidomain(antidomain(X2)),antidomain(X1))) = antidomain(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)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_182,c_0_183]),c_0_184]),c_0_48]),c_0_67]),c_0_49]),c_0_48]),c_0_185]),c_0_91]),c_0_108]) ).
cnf(c_0_193,plain,
antidomain(multiplication(antidomain(antidomain(X1)),X2)) = antidomain(multiplication(antidomain(antidomain(X2)),X1)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_150,c_0_163]),c_0_91]) ).
cnf(c_0_194,plain,
multiplication(antidomain(antidomain(addition(X1,X2))),X2) = X2,
inference(spm,[status(thm)],[c_0_109,c_0_108]) ).
cnf(c_0_195,plain,
multiplication(coantidomain(X1),coantidomain(multiplication(X2,coantidomain(X1)))) = multiplication(coantidomain(X1),coantidomain(X2)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_186,c_0_187]),c_0_141]),c_0_148]),c_0_60]),c_0_188]),c_0_189]) ).
cnf(c_0_196,plain,
coantidomain(antidomain(antidomain(X1))) = antidomain(X1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_77,c_0_190]),c_0_64]),c_0_191]),c_0_72]),c_0_64]),c_0_72]) ).
cnf(c_0_197,plain,
multiplication(antidomain(multiplication(X1,antidomain(X2))),multiplication(X1,addition(antidomain(antidomain(X2)),X3))) = multiplication(antidomain(multiplication(X1,antidomain(X2))),multiplication(X1,addition(one,X3))),
inference(spm,[status(thm)],[c_0_103,c_0_84]) ).
cnf(c_0_198,plain,
multiplication(addition(antidomain(X1),antidomain(X2)),addition(antidomain(X1),antidomain(antidomain(X2)))) = antidomain(X1),
inference(spm,[status(thm)],[c_0_192,c_0_48]) ).
cnf(c_0_199,plain,
antidomain(addition(antidomain(X1),X2)) = antidomain(antidomain(multiplication(antidomain(X2),X1))),
inference(rw,[status(thm)],[c_0_163,c_0_184]) ).
cnf(c_0_200,plain,
antidomain(multiplication(antidomain(antidomain(X1)),addition(X2,X1))) = antidomain(X1),
inference(spm,[status(thm)],[c_0_193,c_0_194]) ).
cnf(c_0_201,plain,
addition(antidomain(X1),antidomain(multiplication(antidomain(X1),X2))) = one,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_84,c_0_97]),c_0_67]) ).
cnf(c_0_202,plain,
antidomain(addition(one,X1)) = zero,
inference(spm,[status(thm)],[c_0_49,c_0_99]) ).
cnf(c_0_203,plain,
multiplication(coantidomain(X1),coantidomain(X2)) = coantidomain(addition(X1,X2)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_195,c_0_133]),c_0_195]),c_0_160]) ).
cnf(c_0_204,plain,
coantidomain(antidomain(X1)) = antidomain(antidomain(X1)),
inference(spm,[status(thm)],[c_0_141,c_0_196]) ).
cnf(c_0_205,negated_conjecture,
addition(antidomain(antidomain(esk1_0)),antidomain(antidomain(antidomain(coantidomain(coantidomain(multiplication(coantidomain(coantidomain(antidomain(antidomain(antidomain(antidomain(antidomain(multiplication(esk2_0,antidomain(antidomain(antidomain(antidomain(esk1_0)))))))))))),esk2_0))))))) != antidomain(antidomain(antidomain(coantidomain(coantidomain(multiplication(coantidomain(coantidomain(antidomain(antidomain(antidomain(antidomain(antidomain(multiplication(esk2_0,antidomain(antidomain(antidomain(antidomain(esk1_0)))))))))))),esk2_0)))))),
i_0_19 ).
cnf(c_0_206,plain,
addition(multiplication(antidomain(X1),X2),multiplication(X3,addition(X1,X2))) = multiplication(addition(antidomain(X1),X3),addition(X1,X2)),
inference(spm,[status(thm)],[c_0_69,c_0_73]) ).
cnf(c_0_207,plain,
multiplication(antidomain(antidomain(addition(X1,X2))),addition(antidomain(antidomain(X2)),antidomain(X1))) = antidomain(antidomain(X2)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_197,c_0_198]),c_0_75]),c_0_184]),c_0_184]),c_0_199]),c_0_200]),c_0_75]),c_0_184]),c_0_67]),c_0_49]) ).
cnf(c_0_208,plain,
addition(antidomain(X1),antidomain(antidomain(addition(X2,X1)))) = one,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_201,c_0_194]),c_0_48]) ).
cnf(c_0_209,plain,
multiplication(antidomain(multiplication(X1,antidomain(antidomain(X2)))),antidomain(multiplication(X1,X2))) = antidomain(multiplication(X1,X2)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_124,c_0_128]),c_0_91]) ).
cnf(c_0_210,plain,
antidomain(addition(X1,one)) = zero,
inference(spm,[status(thm)],[c_0_202,c_0_108]) ).
cnf(c_0_211,plain,
coantidomain(addition(antidomain(X1),X2)) = antidomain(antidomain(multiplication(coantidomain(X2),X1))),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_203,c_0_204]),c_0_179]) ).
cnf(c_0_212,plain,
coantidomain(addition(X1,multiplication(X2,coantidomain(X1)))) = coantidomain(addition(X1,X2)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_195,c_0_203]),c_0_203]) ).
cnf(c_0_213,negated_conjecture,
addition(antidomain(antidomain(esk1_0)),antidomain(coantidomain(coantidomain(multiplication(coantidomain(coantidomain(antidomain(multiplication(esk2_0,antidomain(antidomain(esk1_0)))))),esk2_0))))) != antidomain(coantidomain(coantidomain(multiplication(coantidomain(coantidomain(antidomain(multiplication(esk2_0,antidomain(antidomain(esk1_0)))))),esk2_0)))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_205,c_0_91]),c_0_91]),c_0_91]),c_0_91]),c_0_91]),c_0_91]),c_0_91]),c_0_91]) ).
cnf(c_0_214,plain,
addition(antidomain(antidomain(X1)),antidomain(addition(X1,X2))) = addition(antidomain(antidomain(X1)),antidomain(X2)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_206,c_0_207]),c_0_91]),c_0_184]),c_0_91]),c_0_208]),c_0_72]),c_0_48]) ).
cnf(c_0_215,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)],[inference(spm,[status(thm)],[c_0_165,c_0_75]),c_0_52]),c_0_165]) ).
cnf(c_0_216,plain,
antidomain(multiplication(X1,addition(X2,one))) = antidomain(X1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_209,c_0_210]),c_0_64]),c_0_49]),c_0_86]) ).
cnf(c_0_217,plain,
multiplication(antidomain(multiplication(coantidomain(X1),X2)),coantidomain(X1)) = multiplication(coantidomain(X1),antidomain(multiplication(coantidomain(X1),X2))),
inference(spm,[status(thm)],[c_0_126,c_0_148]) ).
cnf(c_0_218,plain,
multiplication(X1,zero) = zero,
i_0_27 ).
cnf(c_0_219,plain,
multiplication(antidomain(antidomain(multiplication(antidomain(X1),X2))),X2) = multiplication(antidomain(X1),X2),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_138,c_0_138]),c_0_138]),c_0_91]) ).
cnf(c_0_220,plain,
antidomain(antidomain(multiplication(coantidomain(multiplication(X1,antidomain(antidomain(X2)))),X2))) = antidomain(antidomain(multiplication(coantidomain(X1),X2))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_211,c_0_212]),c_0_211]),c_0_204]) ).
cnf(c_0_221,plain,
multiplication(antidomain(X1),multiplication(coantidomain(X2),antidomain(X1))) = multiplication(coantidomain(X2),antidomain(X1)),
inference(spm,[status(thm)],[c_0_117,c_0_148]) ).
cnf(c_0_222,negated_conjecture,
addition(antidomain(antidomain(esk1_0)),antidomain(antidomain(coantidomain(multiplication(antidomain(coantidomain(antidomain(multiplication(esk2_0,antidomain(antidomain(esk1_0)))))),esk2_0))))) != antidomain(antidomain(coantidomain(multiplication(antidomain(coantidomain(antidomain(multiplication(esk2_0,antidomain(antidomain(esk1_0)))))),esk2_0)))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_213,c_0_141]),c_0_141]),c_0_141]),c_0_141]) ).
cnf(c_0_223,plain,
addition(antidomain(X1),antidomain(antidomain(multiplication(antidomain(X2),X1)))) = addition(antidomain(X1),antidomain(X2)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_214,c_0_215]),c_0_91]),c_0_216]),c_0_199]),c_0_91]),c_0_216]) ).
cnf(c_0_224,plain,
addition(antidomain(X1),antidomain(multiplication(antidomain(X2),X1))) = antidomain(multiplication(antidomain(X2),X1)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_97,c_0_124]),c_0_91]) ).
cnf(c_0_225,plain,
multiplication(antidomain(multiplication(X1,coantidomain(multiplication(X2,X1)))),coantidomain(X2)) = multiplication(coantidomain(X2),antidomain(multiplication(X1,coantidomain(multiplication(X2,X1))))),
inference(spm,[status(thm)],[c_0_217,c_0_153]) ).
cnf(c_0_226,plain,
multiplication(X1,multiplication(antidomain(X2),coantidomain(X1))) = zero,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_152,c_0_105]),c_0_218]) ).
cnf(c_0_227,plain,
multiplication(antidomain(antidomain(multiplication(coantidomain(X1),X2))),X2) = multiplication(coantidomain(X1),X2),
inference(spm,[status(thm)],[c_0_219,c_0_148]) ).
cnf(c_0_228,plain,
antidomain(multiplication(coantidomain(multiplication(X1,antidomain(antidomain(X2)))),X2)) = antidomain(multiplication(coantidomain(X1),X2)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_91,c_0_220]),c_0_91]) ).
cnf(c_0_229,plain,
multiplication(antidomain(coantidomain(multiplication(X1,X2))),multiplication(X3,coantidomain(multiplication(X1,multiplication(X2,X3))))) = zero,
inference(spm,[status(thm)],[c_0_147,c_0_60]) ).
cnf(c_0_230,plain,
multiplication(antidomain(multiplication(coantidomain(X1),antidomain(X2))),antidomain(X2)) = multiplication(antidomain(X2),antidomain(multiplication(coantidomain(X1),antidomain(X2)))),
inference(spm,[status(thm)],[c_0_126,c_0_221]) ).
cnf(c_0_231,plain,
multiplication(antidomain(multiplication(coantidomain(X1),X2)),X2) = multiplication(antidomain(coantidomain(X1)),X2),
inference(spm,[status(thm)],[c_0_138,c_0_148]) ).
cnf(c_0_232,negated_conjecture,
addition(antidomain(antidomain(esk1_0)),coantidomain(multiplication(antidomain(coantidomain(antidomain(multiplication(esk2_0,antidomain(antidomain(esk1_0)))))),esk2_0))) != coantidomain(multiplication(antidomain(coantidomain(antidomain(multiplication(esk2_0,antidomain(antidomain(esk1_0)))))),esk2_0)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_222,c_0_148]),c_0_148]) ).
cnf(c_0_233,plain,
addition(antidomain(X1),antidomain(antidomain(X2))) = antidomain(multiplication(antidomain(X2),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)],[inference(spm,[status(thm)],[c_0_214,c_0_223]),c_0_91]),c_0_199]),c_0_223]),c_0_91]),c_0_91]),c_0_224]) ).
cnf(c_0_234,plain,
multiplication(coantidomain(X1),antidomain(multiplication(antidomain(X2),coantidomain(X1)))) = antidomain(antidomain(multiplication(coantidomain(X1),X2))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_225,c_0_226]),c_0_100]),c_0_60]),c_0_49]),c_0_138]),c_0_100]),c_0_60]),c_0_49]),c_0_179]) ).
cnf(c_0_235,plain,
multiplication(coantidomain(multiplication(X1,antidomain(antidomain(X2)))),X2) = multiplication(coantidomain(X1),X2),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_227,c_0_228]),c_0_227]) ).
cnf(c_0_236,plain,
multiplication(antidomain(coantidomain(multiplication(X1,antidomain(X2)))),X2) = zero,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_229,c_0_50]),c_0_218]),c_0_100]),c_0_49]) ).
cnf(c_0_237,plain,
antidomain(antidomain(multiplication(coantidomain(X1),antidomain(X2)))) = multiplication(coantidomain(X1),antidomain(X2)),
inference(spm,[status(thm)],[c_0_149,c_0_148]) ).
cnf(c_0_238,plain,
multiplication(coantidomain(X1),antidomain(X2)) = multiplication(antidomain(X2),coantidomain(X1)),
inference(spm,[status(thm)],[c_0_157,c_0_148]) ).
cnf(c_0_239,plain,
multiplication(antidomain(X1),antidomain(multiplication(coantidomain(X2),antidomain(X1)))) = multiplication(antidomain(coantidomain(X2)),antidomain(X1)),
inference(rw,[status(thm)],[c_0_230,c_0_231]) ).
cnf(c_0_240,negated_conjecture,
addition(antidomain(antidomain(esk1_0)),coantidomain(multiplication(antidomain(multiplication(esk2_0,antidomain(antidomain(esk1_0)))),esk2_0))) != coantidomain(multiplication(antidomain(multiplication(esk2_0,antidomain(antidomain(esk1_0)))),esk2_0)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_232,c_0_204]),c_0_91]),c_0_204]),c_0_91]) ).
cnf(c_0_241,plain,
addition(antidomain(X1),antidomain(X2)) = antidomain(multiplication(antidomain(antidomain(X2)),X1)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_223,c_0_233]),c_0_138]) ).
cnf(c_0_242,plain,
antidomain(addition(multiplication(coantidomain(X1),X2),multiplication(antidomain(X2),coantidomain(X1)))) = antidomain(coantidomain(X1)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_231,c_0_234]),c_0_91]),c_0_125]),c_0_184]) ).
cnf(c_0_243,plain,
multiplication(coantidomain(multiplication(X1,antidomain(X2))),X2) = X2,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_235,c_0_236]),c_0_100]),c_0_72]),c_0_91]),c_0_204]),c_0_148]) ).
cnf(c_0_244,plain,
multiplication(antidomain(X1),coantidomain(multiplication(X2,antidomain(X1)))) = multiplication(coantidomain(X2),antidomain(X1)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_237,c_0_228]),c_0_237]),c_0_91]),c_0_238]) ).
cnf(c_0_245,plain,
antidomain(addition(X1,multiplication(coantidomain(X2),antidomain(X1)))) = antidomain(addition(coantidomain(X2),X1)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_239,c_0_184]),c_0_184]) ).
cnf(c_0_246,plain,
multiplication(X1,multiplication(antidomain(X2),antidomain(coantidomain(X1)))) = multiplication(X1,antidomain(X2)),
inference(spm,[status(thm)],[c_0_152,c_0_157]) ).
cnf(c_0_247,negated_conjecture,
addition(antidomain(antidomain(esk1_0)),coantidomain(multiplication(antidomain(multiplication(esk2_0,esk1_0)),esk2_0))) != coantidomain(multiplication(antidomain(multiplication(esk2_0,esk1_0)),esk2_0)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_240,c_0_150]),c_0_150]) ).
cnf(c_0_248,plain,
addition(antidomain(X1),coantidomain(X2)) = antidomain(multiplication(antidomain(coantidomain(X2)),X1)),
inference(spm,[status(thm)],[c_0_241,c_0_148]) ).
cnf(c_0_249,plain,
antidomain(addition(coantidomain(X1),X2)) = antidomain(coantidomain(multiplication(X1,antidomain(X2)))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_242,c_0_243]),c_0_244]),c_0_245]) ).
cnf(c_0_250,plain,
multiplication(X1,antidomain(addition(X2,coantidomain(X1)))) = multiplication(X1,antidomain(X2)),
inference(rw,[status(thm)],[c_0_246,c_0_184]) ).
cnf(c_0_251,negated_conjecture,
antidomain(antidomain(addition(esk1_0,coantidomain(multiplication(antidomain(multiplication(esk2_0,esk1_0)),esk2_0))))) != coantidomain(multiplication(antidomain(multiplication(esk2_0,esk1_0)),esk2_0)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_247,c_0_248]),c_0_184]),c_0_48]) ).
cnf(c_0_252,plain,
antidomain(addition(X1,coantidomain(X2))) = antidomain(coantidomain(multiplication(X2,antidomain(X1)))),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_249,c_0_108]),c_0_250]) ).
cnf(c_0_253,plain,
multiplication(antidomain(multiplication(X1,X2)),multiplication(X1,antidomain(X2))) = multiplication(antidomain(multiplication(X1,X2)),X1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_77,c_0_150]),c_0_150]) ).
cnf(c_0_254,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_251,c_0_252]),c_0_60]),c_0_253]),c_0_148])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : KLE110+1 : TPTP v8.1.0. Released v4.0.0.
% 0.07/0.12 % Command : enigmatic-eprover.py %s %d 1
% 0.13/0.33 % Computer : n019.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 600
% 0.13/0.33 % DateTime : Thu Jun 16 13:19:26 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.45 # ENIGMATIC: Selected SinE mode:
% 0.19/0.45 # Parsing /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.45 # Filter: axfilter_auto 0 goes into file theBenchmark_axfilter_auto 0.p
% 0.19/0.45 # Filter: axfilter_auto 1 goes into file theBenchmark_axfilter_auto 1.p
% 0.19/0.45 # Filter: axfilter_auto 2 goes into file theBenchmark_axfilter_auto 2.p
% 219.81/28.95 # ENIGMATIC: Solved by Enigma+tptp-cade20-model03-h2e15+lgb-t150-d30-l6400-e0.15+coop-eprover66:
% 219.81/28.95 # ENIGMA: LightGBM model '/export/starexec/sandbox/solver/bin/data/Enigma/tptp-cade20-model03-h2e15/lgb-t150-d30-l6400-e0.15/model.lgb' loaded. (hash_base: 32768; conj_feats: 35; version: 991; iters: 150)
% 219.81/28.95 # Preprocessing time : 0.817 s
% 219.81/28.95 # Presaturation interreduction done
% 219.81/28.95
% 219.81/28.95 # Proof found!
% 219.81/28.95 # SZS status Theorem
% 219.81/28.95 # SZS output start CNFRefutation
% See solution above
% 219.81/28.95 # Training examples: 0 positive, 0 negative
% 219.81/28.95
% 219.81/28.95 # -------------------------------------------------
% 219.81/28.95 # User time : 26.190 s
% 219.81/28.95 # System time : 0.390 s
% 219.81/28.95 # Total time : 26.580 s
% 219.81/28.95 # ...preprocessing : 0.817 s
% 219.81/28.95 # ...main loop : 25.763 s
% 219.81/28.95 # Maximum resident set size: 186508 pages
% 219.81/28.95
%------------------------------------------------------------------------------