TSTP Solution File: KLE101+1 by Enigma---0.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : KLE101+1 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : enigmatic-eprover.py %s %d 1
% Computer : n011.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 01:50:08 EDT 2022
% Result : Theorem 21.30s 4.03s
% Output : CNFRefutation 21.30s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 18
% Syntax : Number of clauses : 113 ( 113 unt; 0 nHn; 17 RR)
% Number of literals : 113 ( 112 equ; 4 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 9 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 5 con; 0-2 aty)
% Number of variables : 158 ( 12 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(i_0_14,plain,
addition(antidomain(antidomain(X1)),antidomain(X1)) = one,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-nu0i_9_r/input.p',i_0_14) ).
cnf(i_0_2,plain,
addition(X1,X2) = addition(X2,X1),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-nu0i_9_r/input.p',i_0_2) ).
cnf(i_0_25,plain,
multiplication(X1,one) = X1,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-nu0i_9_r/input.p',i_0_25) ).
cnf(i_0_12,plain,
multiplication(antidomain(X1),X1) = zero,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-nu0i_9_r/input.p',i_0_12) ).
cnf(i_0_9,plain,
addition(coantidomain(coantidomain(X1)),coantidomain(X1)) = one,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-nu0i_9_r/input.p',i_0_9) ).
cnf(i_0_24,plain,
multiplication(one,X1) = X1,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-nu0i_9_r/input.p',i_0_24) ).
cnf(i_0_7,plain,
multiplication(X1,coantidomain(X1)) = zero,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-nu0i_9_r/input.p',i_0_7) ).
cnf(i_0_4,plain,
addition(X1,zero) = X1,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-nu0i_9_r/input.p',i_0_4) ).
cnf(i_0_1,plain,
addition(addition(X1,X2),X3) = addition(X1,addition(X2,X3)),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-nu0i_9_r/input.p',i_0_1) ).
cnf(i_0_3,plain,
addition(X1,X1) = X1,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-nu0i_9_r/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/sandbox2/tmp/enigma-theBenchmark.p-nu0i_9_r/input.p',i_0_13) ).
cnf(i_0_22,plain,
addition(multiplication(X1,X2),multiplication(X3,X2)) = multiplication(addition(X1,X3),X2),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-nu0i_9_r/input.p',i_0_22) ).
cnf(i_0_29,plain,
addition(multiplication(X1,X2),multiplication(X1,X3)) = multiplication(X1,addition(X2,X3)),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-nu0i_9_r/input.p',i_0_29) ).
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/sandbox2/tmp/enigma-theBenchmark.p-nu0i_9_r/input.p',i_0_8) ).
cnf(i_0_23,plain,
multiplication(multiplication(X1,X2),X3) = multiplication(X1,multiplication(X2,X3)),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-nu0i_9_r/input.p',i_0_23) ).
cnf(i_0_20,negated_conjecture,
multiplication(antidomain(antidomain(multiplication(esk1_0,antidomain(antidomain(antidomain(antidomain(esk2_0))))))),antidomain(antidomain(esk3_0))) = zero,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-nu0i_9_r/input.p',i_0_20) ).
cnf(i_0_21,plain,
multiplication(zero,X1) = zero,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-nu0i_9_r/input.p',i_0_21) ).
cnf(i_0_19,negated_conjecture,
multiplication(antidomain(antidomain(esk2_0)),coantidomain(coantidomain(multiplication(coantidomain(coantidomain(antidomain(antidomain(esk3_0)))),esk1_0)))) != zero,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-nu0i_9_r/input.p',i_0_19) ).
cnf(c_0_48,plain,
addition(antidomain(antidomain(X1)),antidomain(X1)) = one,
i_0_14 ).
cnf(c_0_49,plain,
addition(X1,X2) = addition(X2,X1),
i_0_2 ).
cnf(c_0_50,plain,
multiplication(X1,one) = X1,
i_0_25 ).
cnf(c_0_51,plain,
multiplication(antidomain(X1),X1) = zero,
i_0_12 ).
cnf(c_0_52,plain,
addition(coantidomain(coantidomain(X1)),coantidomain(X1)) = one,
i_0_9 ).
cnf(c_0_53,plain,
multiplication(one,X1) = X1,
i_0_24 ).
cnf(c_0_54,plain,
multiplication(X1,coantidomain(X1)) = zero,
i_0_7 ).
cnf(c_0_55,plain,
addition(antidomain(X1),antidomain(antidomain(X1))) = one,
inference(rw,[status(thm)],[c_0_48,c_0_49]) ).
cnf(c_0_56,plain,
antidomain(one) = zero,
inference(spm,[status(thm)],[c_0_50,c_0_51]) ).
cnf(c_0_57,plain,
addition(X1,zero) = X1,
i_0_4 ).
cnf(c_0_58,plain,
addition(addition(X1,X2),X3) = addition(X1,addition(X2,X3)),
i_0_1 ).
cnf(c_0_59,plain,
addition(X1,X1) = X1,
i_0_3 ).
cnf(c_0_60,plain,
addition(coantidomain(X1),coantidomain(coantidomain(X1))) = one,
inference(rw,[status(thm)],[c_0_52,c_0_49]) ).
cnf(c_0_61,plain,
coantidomain(one) = zero,
inference(spm,[status(thm)],[c_0_53,c_0_54]) ).
cnf(c_0_62,plain,
addition(antidomain(multiplication(X1,X2)),antidomain(multiplication(X1,antidomain(antidomain(X2))))) = antidomain(multiplication(X1,antidomain(antidomain(X2)))),
i_0_13 ).
cnf(c_0_63,plain,
addition(zero,antidomain(zero)) = one,
inference(spm,[status(thm)],[c_0_55,c_0_56]) ).
cnf(c_0_64,plain,
addition(zero,X1) = X1,
inference(spm,[status(thm)],[c_0_57,c_0_49]) ).
cnf(c_0_65,plain,
addition(X1,addition(X1,X2)) = addition(X1,X2),
inference(spm,[status(thm)],[c_0_58,c_0_59]) ).
cnf(c_0_66,plain,
addition(zero,coantidomain(zero)) = one,
inference(spm,[status(thm)],[c_0_60,c_0_61]) ).
cnf(c_0_67,plain,
addition(antidomain(zero),antidomain(multiplication(X1,antidomain(antidomain(coantidomain(X1)))))) = antidomain(multiplication(X1,antidomain(antidomain(coantidomain(X1))))),
inference(spm,[status(thm)],[c_0_62,c_0_54]) ).
cnf(c_0_68,plain,
antidomain(zero) = one,
inference(rw,[status(thm)],[c_0_63,c_0_64]) ).
cnf(c_0_69,plain,
addition(one,antidomain(X1)) = one,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_65,c_0_55]),c_0_49]) ).
cnf(c_0_70,plain,
addition(multiplication(X1,X2),multiplication(X3,X2)) = multiplication(addition(X1,X3),X2),
i_0_22 ).
cnf(c_0_71,plain,
addition(multiplication(X1,X2),multiplication(X1,X3)) = multiplication(X1,addition(X2,X3)),
i_0_29 ).
cnf(c_0_72,plain,
addition(coantidomain(multiplication(X1,X2)),coantidomain(multiplication(coantidomain(coantidomain(X1)),X2))) = coantidomain(multiplication(coantidomain(coantidomain(X1)),X2)),
i_0_8 ).
cnf(c_0_73,plain,
coantidomain(zero) = one,
inference(rw,[status(thm)],[c_0_66,c_0_64]) ).
cnf(c_0_74,plain,
addition(one,coantidomain(X1)) = one,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_65,c_0_60]),c_0_49]) ).
cnf(c_0_75,plain,
antidomain(multiplication(X1,antidomain(antidomain(coantidomain(X1))))) = one,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_67,c_0_68]),c_0_69]) ).
cnf(c_0_76,plain,
multiplication(addition(antidomain(X1),X2),X1) = multiplication(X2,X1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_70,c_0_51]),c_0_64]) ).
cnf(c_0_77,plain,
multiplication(antidomain(X1),addition(X1,X2)) = multiplication(antidomain(X1),X2),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_71,c_0_51]),c_0_64]) ).
cnf(c_0_78,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_51]),c_0_73]),c_0_74]) ).
cnf(c_0_79,plain,
multiplication(multiplication(X1,X2),X3) = multiplication(X1,multiplication(X2,X3)),
i_0_23 ).
cnf(c_0_80,plain,
multiplication(X1,addition(coantidomain(X1),X2)) = multiplication(X1,X2),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_71,c_0_54]),c_0_64]) ).
cnf(c_0_81,plain,
multiplication(X1,antidomain(antidomain(coantidomain(X1)))) = zero,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_51,c_0_75]),c_0_53]) ).
cnf(c_0_82,plain,
multiplication(antidomain(X1),addition(X2,X1)) = multiplication(antidomain(X1),X2),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_71,c_0_51]),c_0_57]) ).
cnf(c_0_83,plain,
multiplication(antidomain(antidomain(X1)),X1) = X1,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_76,c_0_55]),c_0_53]) ).
cnf(c_0_84,negated_conjecture,
multiplication(antidomain(antidomain(multiplication(esk1_0,antidomain(antidomain(antidomain(antidomain(esk2_0))))))),antidomain(antidomain(esk3_0))) = zero,
i_0_20 ).
cnf(c_0_85,plain,
multiplication(zero,X1) = zero,
i_0_21 ).
cnf(c_0_86,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_77,c_0_70]) ).
cnf(c_0_87,plain,
multiplication(coantidomain(coantidomain(antidomain(X1))),X1) = zero,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_54,c_0_78]),c_0_79]),c_0_50]) ).
cnf(c_0_88,plain,
multiplication(addition(X1,X2),coantidomain(X2)) = multiplication(X1,coantidomain(X2)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_70,c_0_54]),c_0_57]) ).
cnf(c_0_89,plain,
multiplication(X1,coantidomain(coantidomain(X1))) = X1,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_80,c_0_60]),c_0_50]) ).
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_71,c_0_81]),c_0_64]) ).
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_82,c_0_55]),c_0_50]),c_0_83]) ).
cnf(c_0_92,plain,
multiplication(antidomain(antidomain(multiplication(esk1_0,antidomain(antidomain(antidomain(antidomain(esk2_0))))))),multiplication(antidomain(antidomain(esk3_0)),X1)) = zero,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_79,c_0_84]),c_0_85]) ).
cnf(c_0_93,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_86,c_0_55]),c_0_53]) ).
cnf(c_0_94,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_86,c_0_69]),c_0_53]),c_0_53]),c_0_51]),c_0_53]) ).
cnf(c_0_95,plain,
multiplication(addition(coantidomain(coantidomain(antidomain(X1))),X2),X1) = multiplication(X2,X1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_70,c_0_87]),c_0_64]) ).
cnf(c_0_96,plain,
coantidomain(coantidomain(coantidomain(X1))) = coantidomain(X1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_88,c_0_60]),c_0_53]),c_0_89]) ).
cnf(c_0_97,plain,
multiplication(X1,antidomain(coantidomain(X1))) = X1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_90,c_0_55]),c_0_50]),c_0_91]) ).
cnf(c_0_98,plain,
addition(X1,multiplication(X2,X1)) = multiplication(addition(X2,one),X1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_70,c_0_53]),c_0_49]) ).
cnf(c_0_99,plain,
multiplication(antidomain(coantidomain(X1)),coantidomain(coantidomain(X1))) = antidomain(coantidomain(X1)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_77,c_0_60]),c_0_50]) ).
cnf(c_0_100,plain,
multiplication(antidomain(antidomain(multiplication(esk1_0,antidomain(antidomain(esk2_0))))),multiplication(antidomain(antidomain(esk3_0)),X1)) = zero,
inference(rw,[status(thm)],[c_0_92,c_0_91]) ).
cnf(c_0_101,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_93,c_0_94]),c_0_68]),c_0_53]),c_0_68]),c_0_53]) ).
cnf(c_0_102,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_82,c_0_70]) ).
cnf(c_0_103,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_82,c_0_71]) ).
cnf(c_0_104,plain,
multiplication(antidomain(X1),multiplication(X1,X2)) = zero,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_79,c_0_51]),c_0_85]) ).
cnf(c_0_105,plain,
multiplication(coantidomain(antidomain(X1)),X1) = X1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_95,c_0_60]),c_0_53]),c_0_96]) ).
cnf(c_0_106,plain,
multiplication(addition(X1,antidomain(X2)),X2) = multiplication(X1,X2),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_70,c_0_51]),c_0_57]) ).
cnf(c_0_107,plain,
multiplication(X1,addition(X2,coantidomain(X1))) = multiplication(X1,X2),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_71,c_0_54]),c_0_57]) ).
cnf(c_0_108,plain,
multiplication(X1,multiplication(X2,coantidomain(multiplication(X1,X2)))) = zero,
inference(spm,[status(thm)],[c_0_54,c_0_79]) ).
cnf(c_0_109,plain,
multiplication(coantidomain(coantidomain(X1)),antidomain(coantidomain(X1))) = coantidomain(coantidomain(X1)),
inference(spm,[status(thm)],[c_0_97,c_0_96]) ).
cnf(c_0_110,plain,
addition(antidomain(coantidomain(X1)),coantidomain(coantidomain(X1))) = coantidomain(coantidomain(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_49]),c_0_69]),c_0_53]),c_0_49]) ).
cnf(c_0_111,plain,
multiplication(antidomain(antidomain(esk3_0)),multiplication(esk1_0,antidomain(antidomain(esk2_0)))) = zero,
inference(spm,[status(thm)],[c_0_100,c_0_101]) ).
cnf(c_0_112,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_102,c_0_55]),c_0_53]) ).
cnf(c_0_113,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_103,c_0_55]),c_0_50]) ).
cnf(c_0_114,plain,
multiplication(antidomain(coantidomain(antidomain(X1))),X1) = zero,
inference(spm,[status(thm)],[c_0_104,c_0_105]) ).
cnf(c_0_115,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_77,c_0_71]) ).
cnf(c_0_116,plain,
multiplication(antidomain(multiplication(X1,X2)),multiplication(X1,antidomain(antidomain(X2)))) = zero,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_106,c_0_62]),c_0_51]) ).
cnf(c_0_117,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_107,c_0_72]),c_0_79]),c_0_108]),c_0_79]) ).
cnf(c_0_118,plain,
coantidomain(coantidomain(X1)) = antidomain(coantidomain(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_109]),c_0_110]),c_0_49]),c_0_74]),c_0_53]) ).
cnf(c_0_119,plain,
multiplication(antidomain(coantidomain(coantidomain(X1))),coantidomain(X1)) = antidomain(coantidomain(coantidomain(X1))),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_82,c_0_60]),c_0_50]) ).
cnf(c_0_120,plain,
addition(coantidomain(multiplication(X1,multiplication(X2,X3))),coantidomain(multiplication(coantidomain(coantidomain(multiplication(X1,X2))),X3))) = coantidomain(multiplication(coantidomain(coantidomain(multiplication(X1,X2))),X3)),
inference(spm,[status(thm)],[c_0_72,c_0_79]) ).
cnf(c_0_121,plain,
multiplication(antidomain(antidomain(esk3_0)),multiplication(esk1_0,multiplication(antidomain(antidomain(esk2_0)),X1))) = zero,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_79,c_0_111]),c_0_85]),c_0_79]) ).
cnf(c_0_122,plain,
multiplication(X1,multiplication(antidomain(coantidomain(X1)),X2)) = multiplication(X1,X2),
inference(spm,[status(thm)],[c_0_79,c_0_97]) ).
cnf(c_0_123,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_112,c_0_94]),c_0_68]),c_0_53]),c_0_68]),c_0_53]) ).
cnf(c_0_124,plain,
multiplication(antidomain(coantidomain(antidomain(X1))),antidomain(X1)) = antidomain(coantidomain(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(spm,[status(thm)],[c_0_113,c_0_114]),c_0_68]),c_0_91]),c_0_53]),c_0_68]),c_0_91]),c_0_53]) ).
cnf(c_0_125,plain,
multiplication(antidomain(X1),antidomain(X1)) = antidomain(X1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_106,c_0_55]),c_0_53]) ).
cnf(c_0_126,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_115,c_0_55]),c_0_50]) ).
cnf(c_0_127,plain,
multiplication(antidomain(X1),antidomain(antidomain(multiplication(X1,X2)))) = zero,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_116,c_0_104]),c_0_68]),c_0_53]) ).
cnf(c_0_128,plain,
multiplication(antidomain(coantidomain(X1)),multiplication(X2,coantidomain(multiplication(X1,X2)))) = zero,
inference(rw,[status(thm)],[c_0_117,c_0_118]) ).
cnf(c_0_129,plain,
antidomain(antidomain(coantidomain(X1))) = coantidomain(X1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_119,c_0_118]),c_0_83]),c_0_118]) ).
cnf(c_0_130,plain,
addition(coantidomain(multiplication(X1,multiplication(X2,X3))),coantidomain(multiplication(antidomain(coantidomain(multiplication(X1,X2))),X3))) = coantidomain(multiplication(antidomain(coantidomain(multiplication(X1,X2))),X3)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_120,c_0_118]),c_0_118]) ).
cnf(c_0_131,plain,
multiplication(antidomain(antidomain(esk3_0)),multiplication(esk1_0,esk2_0)) = zero,
inference(spm,[status(thm)],[c_0_121,c_0_83]) ).
cnf(c_0_132,plain,
antidomain(coantidomain(antidomain(X1))) = antidomain(X1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_122,c_0_123]),c_0_124]),c_0_125]) ).
cnf(c_0_133,negated_conjecture,
multiplication(antidomain(antidomain(esk2_0)),coantidomain(coantidomain(multiplication(coantidomain(coantidomain(antidomain(antidomain(esk3_0)))),esk1_0)))) != zero,
i_0_19 ).
cnf(c_0_134,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_126,c_0_127]),c_0_68]),c_0_91]),c_0_53]),c_0_68]),c_0_53]) ).
cnf(c_0_135,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_93,c_0_128]),c_0_68]),c_0_129]),c_0_53]),c_0_68]),c_0_53]) ).
cnf(c_0_136,plain,
coantidomain(multiplication(antidomain(coantidomain(multiplication(antidomain(antidomain(esk3_0)),esk1_0))),esk2_0)) = one,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_130,c_0_131]),c_0_73]),c_0_74]) ).
cnf(c_0_137,plain,
coantidomain(antidomain(X1)) = antidomain(antidomain(X1)),
inference(spm,[status(thm)],[c_0_129,c_0_132]) ).
cnf(c_0_138,negated_conjecture,
multiplication(antidomain(antidomain(esk2_0)),antidomain(coantidomain(multiplication(antidomain(coantidomain(antidomain(antidomain(esk3_0)))),esk1_0)))) != zero,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_133,c_0_118]),c_0_118]) ).
cnf(c_0_139,plain,
multiplication(antidomain(antidomain(multiplication(X1,X2))),antidomain(X1)) = zero,
inference(spm,[status(thm)],[c_0_94,c_0_134]) ).
cnf(c_0_140,plain,
multiplication(coantidomain(multiplication(antidomain(antidomain(esk3_0)),esk1_0)),esk2_0) = esk2_0,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_135,c_0_136]),c_0_137]),c_0_129]),c_0_50]),c_0_50]) ).
cnf(c_0_141,negated_conjecture,
multiplication(antidomain(antidomain(esk2_0)),antidomain(coantidomain(multiplication(antidomain(antidomain(esk3_0)),esk1_0)))) != zero,
inference(rw,[status(thm)],[c_0_138,c_0_132]) ).
cnf(c_0_142,plain,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_139,c_0_140]),c_0_141]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : KLE101+1 : TPTP v8.1.0. Released v4.0.0.
% 0.03/0.12 % Command : enigmatic-eprover.py %s %d 1
% 0.12/0.33 % Computer : n011.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Thu Jun 16 11:09:07 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.19/0.44 # ENIGMATIC: Selected SinE mode:
% 0.19/0.45 # Parsing /export/starexec/sandbox2/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
% 21.30/4.03 # ENIGMATIC: Solved by Enigma+tptp-cade20-model03-h2e15+lgb-t150-d30-l6400-e0.15+coop-eprover66:
% 21.30/4.03 # 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: 46; version: 991; iters: 150)
% 21.30/4.03 # Preprocessing time : 0.809 s
% 21.30/4.03 # Presaturation interreduction done
% 21.30/4.03
% 21.30/4.03 # Proof found!
% 21.30/4.03 # SZS status Theorem
% 21.30/4.03 # SZS output start CNFRefutation
% See solution above
% 21.30/4.03 # Training examples: 0 positive, 0 negative
% 21.30/4.03
% 21.30/4.03 # -------------------------------------------------
% 21.30/4.03 # User time : 1.581 s
% 21.30/4.03 # System time : 0.110 s
% 21.30/4.03 # Total time : 1.691 s
% 21.30/4.03 # ...preprocessing : 0.809 s
% 21.30/4.03 # ...main loop : 0.882 s
% 21.30/4.03 # Maximum resident set size: 167204 pages
% 21.30/4.03
%------------------------------------------------------------------------------