TSTP Solution File: KLE087+1 by Enigma---0.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : KLE087+1 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : enigmatic-eprover.py %s %d 1
% Computer : n014.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 01:50:03 EDT 2022
% Result : Theorem 57.03s 8.61s
% Output : CNFRefutation 57.03s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 17
% Syntax : Number of clauses : 129 ( 129 unt; 0 nHn; 7 RR)
% Number of literals : 129 ( 128 equ; 2 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 7 ( 2 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 : 218 ( 17 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(i_0_11,plain,
addition(antidomain(antidomain(X1)),antidomain(X1)) = one,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-c84ki3mu/input.p',i_0_11) ).
cnf(i_0_2,plain,
addition(X1,X2) = addition(X2,X1),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-c84ki3mu/input.p',i_0_2) ).
cnf(i_0_18,plain,
multiplication(X1,one) = X1,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-c84ki3mu/input.p',i_0_18) ).
cnf(i_0_9,plain,
multiplication(antidomain(X1),X1) = zero,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-c84ki3mu/input.p',i_0_9) ).
cnf(i_0_4,plain,
addition(X1,zero) = X1,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-c84ki3mu/input.p',i_0_4) ).
cnf(i_0_10,plain,
addition(antidomain(multiplication(X1,X2)),antidomain(multiplication(X1,antidomain(antidomain(X2))))) = antidomain(multiplication(X1,antidomain(antidomain(X2)))),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-c84ki3mu/input.p',i_0_10) ).
cnf(i_0_5,plain,
multiplication(X1,coantidomain(X1)) = zero,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-c84ki3mu/input.p',i_0_5) ).
cnf(i_0_1,plain,
addition(addition(X1,X2),X3) = addition(X1,addition(X2,X3)),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-c84ki3mu/input.p',i_0_1) ).
cnf(i_0_3,plain,
addition(X1,X1) = X1,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-c84ki3mu/input.p',i_0_3) ).
cnf(i_0_22,plain,
addition(multiplication(X1,X2),multiplication(X1,X3)) = multiplication(X1,addition(X2,X3)),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-c84ki3mu/input.p',i_0_22) ).
cnf(i_0_7,plain,
addition(coantidomain(coantidomain(X1)),coantidomain(X1)) = one,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-c84ki3mu/input.p',i_0_7) ).
cnf(i_0_17,plain,
multiplication(one,X1) = X1,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-c84ki3mu/input.p',i_0_17) ).
cnf(i_0_15,plain,
addition(multiplication(X1,X2),multiplication(X3,X2)) = multiplication(addition(X1,X3),X2),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-c84ki3mu/input.p',i_0_15) ).
cnf(i_0_16,plain,
multiplication(multiplication(X1,X2),X3) = multiplication(X1,multiplication(X2,X3)),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-c84ki3mu/input.p',i_0_16) ).
cnf(i_0_6,plain,
addition(coantidomain(multiplication(X1,X2)),coantidomain(multiplication(coantidomain(coantidomain(X1)),X2))) = coantidomain(multiplication(coantidomain(coantidomain(X1)),X2)),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-c84ki3mu/input.p',i_0_6) ).
cnf(i_0_14,plain,
multiplication(zero,X1) = zero,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-c84ki3mu/input.p',i_0_14) ).
cnf(i_0_13,negated_conjecture,
antidomain(antidomain(addition(esk1_0,esk2_0))) != addition(antidomain(antidomain(esk1_0)),antidomain(antidomain(esk2_0))),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-c84ki3mu/input.p',i_0_13) ).
cnf(c_0_40,plain,
addition(antidomain(antidomain(X1)),antidomain(X1)) = one,
i_0_11 ).
cnf(c_0_41,plain,
addition(X1,X2) = addition(X2,X1),
i_0_2 ).
cnf(c_0_42,plain,
multiplication(X1,one) = X1,
i_0_18 ).
cnf(c_0_43,plain,
multiplication(antidomain(X1),X1) = zero,
i_0_9 ).
cnf(c_0_44,plain,
addition(X1,zero) = X1,
i_0_4 ).
cnf(c_0_45,plain,
addition(antidomain(multiplication(X1,X2)),antidomain(multiplication(X1,antidomain(antidomain(X2))))) = antidomain(multiplication(X1,antidomain(antidomain(X2)))),
i_0_10 ).
cnf(c_0_46,plain,
multiplication(X1,coantidomain(X1)) = zero,
i_0_5 ).
cnf(c_0_47,plain,
addition(antidomain(X1),antidomain(antidomain(X1))) = one,
inference(rw,[status(thm)],[c_0_40,c_0_41]) ).
cnf(c_0_48,plain,
antidomain(one) = zero,
inference(spm,[status(thm)],[c_0_42,c_0_43]) ).
cnf(c_0_49,plain,
addition(zero,X1) = X1,
inference(spm,[status(thm)],[c_0_44,c_0_41]) ).
cnf(c_0_50,plain,
addition(addition(X1,X2),X3) = addition(X1,addition(X2,X3)),
i_0_1 ).
cnf(c_0_51,plain,
addition(X1,X1) = X1,
i_0_3 ).
cnf(c_0_52,plain,
addition(multiplication(X1,X2),multiplication(X1,X3)) = multiplication(X1,addition(X2,X3)),
i_0_22 ).
cnf(c_0_53,plain,
addition(coantidomain(coantidomain(X1)),coantidomain(X1)) = one,
i_0_7 ).
cnf(c_0_54,plain,
addition(antidomain(zero),antidomain(multiplication(X1,antidomain(antidomain(coantidomain(X1)))))) = antidomain(multiplication(X1,antidomain(antidomain(coantidomain(X1))))),
inference(spm,[status(thm)],[c_0_45,c_0_46]) ).
cnf(c_0_55,plain,
antidomain(zero) = one,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_47,c_0_48]),c_0_49]) ).
cnf(c_0_56,plain,
addition(X1,addition(X1,X2)) = addition(X1,X2),
inference(spm,[status(thm)],[c_0_50,c_0_51]) ).
cnf(c_0_57,plain,
multiplication(one,X1) = X1,
i_0_17 ).
cnf(c_0_58,plain,
multiplication(antidomain(X1),addition(X2,X1)) = multiplication(antidomain(X1),X2),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_52,c_0_43]),c_0_44]) ).
cnf(c_0_59,plain,
addition(multiplication(X1,X2),multiplication(X3,X2)) = multiplication(addition(X1,X3),X2),
i_0_15 ).
cnf(c_0_60,plain,
addition(coantidomain(X1),coantidomain(coantidomain(X1))) = one,
inference(rw,[status(thm)],[c_0_53,c_0_41]) ).
cnf(c_0_61,plain,
addition(one,antidomain(multiplication(X1,antidomain(antidomain(coantidomain(X1)))))) = antidomain(multiplication(X1,antidomain(antidomain(coantidomain(X1))))),
inference(rw,[status(thm)],[c_0_54,c_0_55]) ).
cnf(c_0_62,plain,
addition(one,antidomain(X1)) = one,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_56,c_0_47]),c_0_41]) ).
cnf(c_0_63,plain,
coantidomain(one) = zero,
inference(spm,[status(thm)],[c_0_57,c_0_46]) ).
cnf(c_0_64,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_58,c_0_59]) ).
cnf(c_0_65,plain,
multiplication(multiplication(X1,X2),X3) = multiplication(X1,multiplication(X2,X3)),
i_0_16 ).
cnf(c_0_66,plain,
addition(X1,multiplication(X2,X1)) = multiplication(addition(X2,one),X1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_59,c_0_57]),c_0_41]) ).
cnf(c_0_67,plain,
multiplication(antidomain(coantidomain(coantidomain(X1))),coantidomain(X1)) = antidomain(coantidomain(coantidomain(X1))),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_58,c_0_60]),c_0_42]) ).
cnf(c_0_68,plain,
multiplication(X1,addition(coantidomain(X1),X2)) = multiplication(X1,X2),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_52,c_0_46]),c_0_49]) ).
cnf(c_0_69,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_58,c_0_52]) ).
cnf(c_0_70,plain,
antidomain(multiplication(X1,antidomain(antidomain(coantidomain(X1))))) = one,
inference(rw,[status(thm)],[c_0_61,c_0_62]) ).
cnf(c_0_71,plain,
multiplication(addition(X1,X2),coantidomain(X2)) = multiplication(X1,coantidomain(X2)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_59,c_0_46]),c_0_44]) ).
cnf(c_0_72,plain,
addition(coantidomain(multiplication(X1,X2)),coantidomain(multiplication(coantidomain(coantidomain(X1)),X2))) = coantidomain(multiplication(coantidomain(coantidomain(X1)),X2)),
i_0_6 ).
cnf(c_0_73,plain,
coantidomain(zero) = one,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_60,c_0_63]),c_0_49]) ).
cnf(c_0_74,plain,
addition(one,coantidomain(X1)) = one,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_56,c_0_60]),c_0_41]) ).
cnf(c_0_75,plain,
multiplication(antidomain(multiplication(coantidomain(coantidomain(X1)),X2)),multiplication(coantidomain(X1),X2)) = multiplication(antidomain(multiplication(coantidomain(coantidomain(X1)),X2)),X2),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_64,c_0_60]),c_0_57]) ).
cnf(c_0_76,plain,
multiplication(X1,multiplication(X2,coantidomain(multiplication(X1,X2)))) = zero,
inference(spm,[status(thm)],[c_0_46,c_0_65]) ).
cnf(c_0_77,plain,
addition(coantidomain(X1),antidomain(coantidomain(coantidomain(X1)))) = coantidomain(X1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_66,c_0_67]),c_0_41]),c_0_62]),c_0_57]) ).
cnf(c_0_78,plain,
multiplication(X1,coantidomain(coantidomain(X1))) = X1,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_68,c_0_60]),c_0_42]) ).
cnf(c_0_79,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_69,c_0_47]),c_0_42]) ).
cnf(c_0_80,plain,
multiplication(X1,antidomain(antidomain(coantidomain(X1)))) = zero,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_43,c_0_70]),c_0_57]) ).
cnf(c_0_81,plain,
addition(X1,multiplication(X1,X2)) = multiplication(X1,addition(X2,one)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_52,c_0_42]),c_0_41]) ).
cnf(c_0_82,plain,
multiplication(antidomain(X1),coantidomain(antidomain(antidomain(X1)))) = coantidomain(antidomain(antidomain(X1))),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_71,c_0_47]),c_0_57]) ).
cnf(c_0_83,plain,
multiplication(addition(antidomain(X1),X2),X1) = multiplication(X2,X1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_59,c_0_43]),c_0_49]) ).
cnf(c_0_84,plain,
coantidomain(multiplication(coantidomain(coantidomain(antidomain(X1))),X1)) = one,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_72,c_0_43]),c_0_73]),c_0_74]) ).
cnf(c_0_85,plain,
multiplication(coantidomain(X1),multiplication(X2,coantidomain(multiplication(coantidomain(coantidomain(X1)),X2)))) = multiplication(X2,coantidomain(multiplication(coantidomain(coantidomain(X1)),X2))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_75,c_0_76]),c_0_55]),c_0_57]),c_0_55]),c_0_57]) ).
cnf(c_0_86,plain,
multiplication(X1,antidomain(coantidomain(coantidomain(X1)))) = zero,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_68,c_0_77]),c_0_46]) ).
cnf(c_0_87,plain,
coantidomain(coantidomain(coantidomain(X1))) = coantidomain(X1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_71,c_0_60]),c_0_57]),c_0_78]) ).
cnf(c_0_88,plain,
multiplication(X1,antidomain(coantidomain(X1))) = X1,
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_80]),c_0_55]),c_0_57]),c_0_55]),c_0_57]) ).
cnf(c_0_89,plain,
multiplication(antidomain(X1),addition(X1,X2)) = multiplication(antidomain(X1),X2),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_52,c_0_43]),c_0_49]) ).
cnf(c_0_90,plain,
addition(antidomain(X1),coantidomain(antidomain(antidomain(X1)))) = antidomain(X1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_81,c_0_82]),c_0_41]),c_0_74]),c_0_42]) ).
cnf(c_0_91,plain,
multiplication(antidomain(antidomain(X1)),X1) = X1,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_83,c_0_47]),c_0_57]) ).
cnf(c_0_92,plain,
multiplication(coantidomain(coantidomain(antidomain(X1))),X1) = zero,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_46,c_0_84]),c_0_65]),c_0_42]) ).
cnf(c_0_93,plain,
multiplication(X1,addition(X2,coantidomain(X1))) = multiplication(X1,X2),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_52,c_0_46]),c_0_44]) ).
cnf(c_0_94,plain,
multiplication(addition(X1,antidomain(X2)),X2) = multiplication(X1,X2),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_59,c_0_43]),c_0_44]) ).
cnf(c_0_95,plain,
multiplication(zero,X1) = zero,
i_0_14 ).
cnf(c_0_96,plain,
antidomain(coantidomain(coantidomain(X1))) = coantidomain(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(spm,[status(thm)],[c_0_85,c_0_86]),c_0_87]),c_0_73]),c_0_42]),c_0_88]),c_0_87]),c_0_73]),c_0_42]) ).
cnf(c_0_97,plain,
multiplication(antidomain(coantidomain(X1)),coantidomain(coantidomain(X1))) = antidomain(coantidomain(X1)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_89,c_0_60]),c_0_42]) ).
cnf(c_0_98,plain,
multiplication(coantidomain(antidomain(antidomain(X1))),X1) = zero,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_83,c_0_90]),c_0_43]) ).
cnf(c_0_99,plain,
antidomain(antidomain(antidomain(X1))) = antidomain(X1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_58,c_0_47]),c_0_42]),c_0_91]) ).
cnf(c_0_100,plain,
multiplication(coantidomain(antidomain(X1)),X1) = X1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_75,c_0_92]),c_0_55]),c_0_57]),c_0_55]),c_0_57]) ).
cnf(c_0_101,plain,
multiplication(antidomain(addition(X1,X2)),X1) = zero,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_58,c_0_56]),c_0_43]) ).
cnf(c_0_102,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_93,c_0_72]),c_0_65]),c_0_76]),c_0_65]) ).
cnf(c_0_103,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_45]),c_0_43]) ).
cnf(c_0_104,plain,
multiplication(antidomain(X1),multiplication(X1,X2)) = zero,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_65,c_0_43]),c_0_95]) ).
cnf(c_0_105,plain,
coantidomain(coantidomain(X1)) = antidomain(coantidomain(X1)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_91,c_0_96]),c_0_97]) ).
cnf(c_0_106,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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_79,c_0_98]),c_0_55]),c_0_99]),c_0_100]),c_0_57]),c_0_55]),c_0_99]),c_0_57]) ).
cnf(c_0_107,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_89,c_0_59]) ).
cnf(c_0_108,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_89,c_0_52]) ).
cnf(c_0_109,plain,
multiplication(antidomain(antidomain(X1)),multiplication(X1,X2)) = multiplication(X1,X2),
inference(spm,[status(thm)],[c_0_65,c_0_91]) ).
cnf(c_0_110,plain,
multiplication(addition(antidomain(addition(X1,X2)),X3),X1) = multiplication(X3,X1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_59,c_0_101]),c_0_49]) ).
cnf(c_0_111,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(spm,[status(thm)],[c_0_75,c_0_102]),c_0_55]),c_0_57]),c_0_55]),c_0_57]) ).
cnf(c_0_112,plain,
multiplication(antidomain(X1),antidomain(antidomain(multiplication(X1,X2)))) = zero,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_103,c_0_104]),c_0_55]),c_0_57]) ).
cnf(c_0_113,plain,
coantidomain(antidomain(X1)) = antidomain(antidomain(X1)),
inference(spm,[status(thm)],[c_0_105,c_0_106]) ).
cnf(c_0_114,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_64,c_0_47]),c_0_57]) ).
cnf(c_0_115,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_107,c_0_62]),c_0_57]),c_0_57]),c_0_43]),c_0_57]) ).
cnf(c_0_116,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_108,c_0_47]),c_0_42]) ).
cnf(c_0_117,plain,
multiplication(antidomain(antidomain(multiplication(X1,X2))),multiplication(X1,multiplication(X2,X3))) = multiplication(X1,multiplication(X2,X3)),
inference(spm,[status(thm)],[c_0_109,c_0_65]) ).
cnf(c_0_118,plain,
multiplication(antidomain(antidomain(addition(X1,X2))),X1) = X1,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_110,c_0_47]),c_0_57]) ).
cnf(c_0_119,plain,
multiplication(antidomain(antidomain(X1)),antidomain(antidomain(multiplication(X1,X2)))) = antidomain(antidomain(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_111,c_0_112]),c_0_73]),c_0_42]),c_0_73]),c_0_42]),c_0_113]) ).
cnf(c_0_120,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_114,c_0_115]),c_0_55]),c_0_57]),c_0_55]),c_0_57]) ).
cnf(c_0_121,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_107,c_0_47]),c_0_57]) ).
cnf(c_0_122,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_103,c_0_115]),c_0_55]),c_0_57]) ).
cnf(c_0_123,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(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_116,c_0_112]),c_0_55]),c_0_99]),c_0_57]),c_0_55]),c_0_57]) ).
cnf(c_0_124,plain,
multiplication(antidomain(antidomain(multiplication(X1,antidomain(antidomain(X2))))),multiplication(X1,X2)) = multiplication(X1,X2),
inference(spm,[status(thm)],[c_0_117,c_0_91]) ).
cnf(c_0_125,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_118,c_0_45]),c_0_99]) ).
cnf(c_0_126,plain,
addition(X1,addition(X2,X1)) = addition(X2,X1),
inference(spm,[status(thm)],[c_0_56,c_0_41]) ).
cnf(c_0_127,plain,
multiplication(antidomain(antidomain(X1)),antidomain(multiplication(X1,X2))) = multiplication(antidomain(multiplication(X1,X2)),antidomain(antidomain(X1))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_116,c_0_119]),c_0_99]),c_0_99]),c_0_120]),c_0_99]) ).
cnf(c_0_128,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_121,c_0_115]),c_0_55]),c_0_57]),c_0_55]),c_0_57]) ).
cnf(c_0_129,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_116,c_0_122]),c_0_55]),c_0_99]),c_0_57]),c_0_55]),c_0_57]) ).
cnf(c_0_130,plain,
antidomain(multiplication(X1,antidomain(antidomain(X2)))) = antidomain(multiplication(X1,X2)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_123,c_0_124]),c_0_99]),c_0_99]),c_0_125]) ).
cnf(c_0_131,plain,
multiplication(antidomain(addition(X1,X2)),X2) = zero,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_58,c_0_126]),c_0_43]) ).
cnf(c_0_132,plain,
addition(multiplication(X1,X2),addition(multiplication(X3,X2),X4)) = addition(multiplication(addition(X1,X3),X2),X4),
inference(spm,[status(thm)],[c_0_50,c_0_59]) ).
cnf(c_0_133,plain,
multiplication(antidomain(antidomain(X1)),multiplication(antidomain(multiplication(X1,X2)),X3)) = multiplication(antidomain(multiplication(X1,X2)),multiplication(antidomain(antidomain(X1)),X3)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_65,c_0_127]),c_0_65]) ).
cnf(c_0_134,plain,
multiplication(antidomain(multiplication(antidomain(X1),X2)),antidomain(X2)) = antidomain(X2),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_128,c_0_129]),c_0_99]) ).
cnf(c_0_135,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_79,c_0_130]),c_0_130]) ).
cnf(c_0_136,plain,
multiplication(antidomain(multiplication(antidomain(X1),X2)),antidomain(X1)) = multiplication(antidomain(X1),antidomain(multiplication(antidomain(X1),X2))),
inference(spm,[status(thm)],[c_0_127,c_0_99]) ).
cnf(c_0_137,plain,
multiplication(antidomain(multiplication(X1,X2)),antidomain(X1)) = antidomain(X1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_128,c_0_123]),c_0_99]) ).
cnf(c_0_138,plain,
multiplication(antidomain(antidomain(addition(X1,X2))),X2) = X2,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_121,c_0_131]),c_0_55]),c_0_57]),c_0_55]),c_0_57]) ).
cnf(c_0_139,plain,
addition(multiplication(X1,X2),multiplication(X3,addition(X2,X4))) = addition(multiplication(addition(X1,X3),X2),multiplication(X3,X4)),
inference(spm,[status(thm)],[c_0_132,c_0_52]) ).
cnf(c_0_140,plain,
multiplication(antidomain(X1),antidomain(multiplication(antidomain(X1),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_133,c_0_134]),c_0_99]),c_0_99]),c_0_135]),c_0_136]) ).
cnf(c_0_141,plain,
multiplication(antidomain(X1),antidomain(addition(X2,X1))) = antidomain(addition(X2,X1)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_137,c_0_138]),c_0_99]),c_0_99]) ).
cnf(c_0_142,plain,
addition(X1,multiplication(antidomain(X2),addition(X1,X3))) = addition(X1,multiplication(antidomain(X2),X3)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_139,c_0_62]),c_0_57]),c_0_57]) ).
cnf(c_0_143,plain,
multiplication(antidomain(X1),antidomain(X2)) = antidomain(addition(X2,X1)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_140,c_0_58]),c_0_140]),c_0_141]) ).
cnf(c_0_144,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_66,c_0_123]),c_0_41]),c_0_62]),c_0_57]),c_0_41]) ).
cnf(c_0_145,plain,
multiplication(antidomain(antidomain(X1)),antidomain(antidomain(multiplication(antidomain(X2),X1)))) = antidomain(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(spm,[status(thm)],[c_0_111,c_0_122]),c_0_73]),c_0_42]),c_0_73]),c_0_42]),c_0_113]) ).
cnf(c_0_146,plain,
addition(antidomain(X1),antidomain(addition(antidomain(X1),X2))) = addition(antidomain(X1),antidomain(X2)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_142,c_0_47]),c_0_42]),c_0_143]) ).
cnf(c_0_147,plain,
antidomain(antidomain(addition(antidomain(X1),X2))) = antidomain(multiplication(antidomain(X2),X1)),
inference(spm,[status(thm)],[c_0_130,c_0_143]) ).
cnf(c_0_148,plain,
addition(antidomain(X1),antidomain(multiplication(antidomain(X2),X1))) = antidomain(multiplication(antidomain(X2),X1)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_144,c_0_145]),c_0_99]),c_0_99]),c_0_99]) ).
cnf(c_0_149,negated_conjecture,
antidomain(antidomain(addition(esk1_0,esk2_0))) != addition(antidomain(antidomain(esk1_0)),antidomain(antidomain(esk2_0))),
i_0_13 ).
cnf(c_0_150,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(spm,[status(thm)],[c_0_146,c_0_146]),c_0_146]),c_0_147]),c_0_148]) ).
cnf(c_0_151,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_149,c_0_150]),c_0_143])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : KLE087+1 : TPTP v8.1.0. Released v4.0.0.
% 0.03/0.12 % Command : enigmatic-eprover.py %s %d 1
% 0.11/0.33 % Computer : n014.cluster.edu
% 0.11/0.33 % Model : x86_64 x86_64
% 0.11/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33 % Memory : 8042.1875MB
% 0.11/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33 % CPULimit : 300
% 0.11/0.33 % WCLimit : 600
% 0.11/0.33 % DateTime : Thu Jun 16 14:32:06 EDT 2022
% 0.11/0.33 % CPUTime :
% 0.18/0.44 # ENIGMATIC: Selected SinE mode:
% 0.18/0.44 # Parsing /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/0.44 # Filter: axfilter_auto 0 goes into file theBenchmark_axfilter_auto 0.p
% 0.18/0.44 # Filter: axfilter_auto 1 goes into file theBenchmark_axfilter_auto 1.p
% 0.18/0.44 # Filter: axfilter_auto 2 goes into file theBenchmark_axfilter_auto 2.p
% 57.03/8.61 # ENIGMATIC: Solved by Enigma+tptp-cade20-model03-h2e15+lgb-t150-d30-l6400-e0.15+coop-eprover66:
% 57.03/8.61 # ENIGMA: LightGBM model '/export/starexec/sandbox2/solver/bin/data/Enigma/tptp-cade20-model03-h2e15/lgb-t150-d30-l6400-e0.15/model.lgb' loaded. (hash_base: 32768; conj_feats: 31; version: 991; iters: 150)
% 57.03/8.61 # Preprocessing time : 0.826 s
% 57.03/8.61 # Presaturation interreduction done
% 57.03/8.61
% 57.03/8.61 # Proof found!
% 57.03/8.61 # SZS status Theorem
% 57.03/8.61 # SZS output start CNFRefutation
% See solution above
% 57.03/8.61 # Training examples: 0 positive, 0 negative
% 57.03/8.61
% 57.03/8.61 # -------------------------------------------------
% 57.03/8.61 # User time : 5.716 s
% 57.03/8.61 # System time : 0.151 s
% 57.03/8.61 # Total time : 5.867 s
% 57.03/8.61 # ...preprocessing : 0.826 s
% 57.03/8.61 # ...main loop : 5.042 s
% 57.03/8.61 # Maximum resident set size: 166656 pages
% 57.03/8.61
%------------------------------------------------------------------------------