TSTP Solution File: KLE106+1 by Enigma---0.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : KLE106+1 : TPTP v8.1.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : enigmatic-eprover.py %s %d 1

% Computer : n021.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 01:50:09 EDT 2022

% Result   : Theorem 26.71s 4.84s
% Output   : CNFRefutation 26.71s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   16
%            Number of leaves      :   19
% Syntax   : Number of clauses     :   98 (  98 unt;   0 nHn;  20 RR)
%            Number of literals    :   98 (  97 equ;   4 neg)
%            Maximal clause size   :    1 (   1 avg)
%            Maximal term depth    :   16 (   3 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   :  138 (  13 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_4,plain,
    addition(X1,zero) = X1,
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-nxy_j0ig/input.p',i_0_4) ).

cnf(i_0_2,plain,
    addition(X1,X2) = addition(X2,X1),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-nxy_j0ig/input.p',i_0_2) ).

cnf(i_0_1,plain,
    addition(addition(X1,X2),X3) = addition(X1,addition(X2,X3)),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-nxy_j0ig/input.p',i_0_1) ).

cnf(i_0_22,plain,
    addition(multiplication(X1,X2),multiplication(X3,X2)) = multiplication(addition(X1,X3),X2),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-nxy_j0ig/input.p',i_0_22) ).

cnf(i_0_12,plain,
    multiplication(antidomain(X1),X1) = zero,
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-nxy_j0ig/input.p',i_0_12) ).

cnf(i_0_14,plain,
    addition(antidomain(antidomain(X1)),antidomain(X1)) = one,
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-nxy_j0ig/input.p',i_0_14) ).

cnf(i_0_29,plain,
    addition(multiplication(X1,X2),multiplication(X1,X3)) = multiplication(X1,addition(X2,X3)),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-nxy_j0ig/input.p',i_0_29) ).

cnf(i_0_24,plain,
    multiplication(one,X1) = X1,
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-nxy_j0ig/input.p',i_0_24) ).

cnf(i_0_9,plain,
    addition(coantidomain(coantidomain(X1)),coantidomain(X1)) = one,
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-nxy_j0ig/input.p',i_0_9) ).

cnf(i_0_3,plain,
    addition(X1,X1) = X1,
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-nxy_j0ig/input.p',i_0_3) ).

cnf(i_0_20,negated_conjecture,
    addition(antidomain(antidomain(esk2_0)),antidomain(antidomain(antidomain(coantidomain(coantidomain(multiplication(coantidomain(coantidomain(antidomain(antidomain(antidomain(antidomain(antidomain(esk3_0))))))),esk1_0))))))) = antidomain(antidomain(antidomain(coantidomain(coantidomain(multiplication(coantidomain(coantidomain(antidomain(antidomain(antidomain(antidomain(antidomain(esk3_0))))))),esk1_0)))))),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-nxy_j0ig/input.p',i_0_20) ).

cnf(i_0_25,plain,
    multiplication(X1,one) = X1,
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-nxy_j0ig/input.p',i_0_25) ).

cnf(i_0_7,plain,
    multiplication(X1,coantidomain(X1)) = zero,
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-nxy_j0ig/input.p',i_0_7) ).

cnf(i_0_23,plain,
    multiplication(multiplication(X1,X2),X3) = multiplication(X1,multiplication(X2,X3)),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-nxy_j0ig/input.p',i_0_23) ).

cnf(i_0_21,plain,
    multiplication(zero,X1) = zero,
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-nxy_j0ig/input.p',i_0_21) ).

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-nxy_j0ig/input.p',i_0_8) ).

cnf(i_0_28,plain,
    multiplication(X1,zero) = zero,
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-nxy_j0ig/input.p',i_0_28) ).

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-nxy_j0ig/input.p',i_0_13) ).

cnf(i_0_19,negated_conjecture,
    addition(antidomain(antidomain(multiplication(esk1_0,antidomain(antidomain(antidomain(antidomain(esk2_0))))))),antidomain(antidomain(esk3_0))) != antidomain(antidomain(esk3_0)),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-nxy_j0ig/input.p',i_0_19) ).

cnf(c_0_49,plain,
    addition(X1,zero) = X1,
    i_0_4 ).

cnf(c_0_50,plain,
    addition(X1,X2) = addition(X2,X1),
    i_0_2 ).

cnf(c_0_51,plain,
    addition(addition(X1,X2),X3) = addition(X1,addition(X2,X3)),
    i_0_1 ).

cnf(c_0_52,plain,
    addition(multiplication(X1,X2),multiplication(X3,X2)) = multiplication(addition(X1,X3),X2),
    i_0_22 ).

cnf(c_0_53,plain,
    multiplication(antidomain(X1),X1) = zero,
    i_0_12 ).

cnf(c_0_54,plain,
    addition(zero,X1) = X1,
    inference(spm,[status(thm)],[c_0_49,c_0_50]) ).

cnf(c_0_55,plain,
    addition(antidomain(antidomain(X1)),antidomain(X1)) = one,
    i_0_14 ).

cnf(c_0_56,plain,
    addition(X1,addition(X2,X3)) = addition(X3,addition(X1,X2)),
    inference(spm,[status(thm)],[c_0_50,c_0_51]) ).

cnf(c_0_57,plain,
    addition(multiplication(X1,X2),multiplication(X1,X3)) = multiplication(X1,addition(X2,X3)),
    i_0_29 ).

cnf(c_0_58,plain,
    multiplication(addition(antidomain(X1),X2),X1) = multiplication(X2,X1),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_52,c_0_53]),c_0_54]) ).

cnf(c_0_59,plain,
    addition(antidomain(X1),antidomain(antidomain(X1))) = one,
    inference(rw,[status(thm)],[c_0_55,c_0_50]) ).

cnf(c_0_60,plain,
    multiplication(one,X1) = X1,
    i_0_24 ).

cnf(c_0_61,plain,
    addition(coantidomain(coantidomain(X1)),coantidomain(X1)) = one,
    i_0_9 ).

cnf(c_0_62,plain,
    addition(X1,X1) = X1,
    i_0_3 ).

cnf(c_0_63,negated_conjecture,
    addition(antidomain(antidomain(esk2_0)),antidomain(antidomain(antidomain(coantidomain(coantidomain(multiplication(coantidomain(coantidomain(antidomain(antidomain(antidomain(antidomain(antidomain(esk3_0))))))),esk1_0))))))) = antidomain(antidomain(antidomain(coantidomain(coantidomain(multiplication(coantidomain(coantidomain(antidomain(antidomain(antidomain(antidomain(antidomain(esk3_0))))))),esk1_0)))))),
    i_0_20 ).

cnf(c_0_64,plain,
    addition(X1,addition(X2,X3)) = addition(X3,addition(X2,X1)),
    inference(spm,[status(thm)],[c_0_56,c_0_50]) ).

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_57,c_0_53]),c_0_49]) ).

cnf(c_0_66,plain,
    multiplication(X1,one) = X1,
    i_0_25 ).

cnf(c_0_67,plain,
    multiplication(antidomain(antidomain(X1)),X1) = X1,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_58,c_0_59]),c_0_60]) ).

cnf(c_0_68,plain,
    addition(coantidomain(X1),coantidomain(coantidomain(X1))) = one,
    inference(rw,[status(thm)],[c_0_61,c_0_50]) ).

cnf(c_0_69,plain,
    addition(X1,addition(X1,X2)) = addition(X1,X2),
    inference(spm,[status(thm)],[c_0_51,c_0_62]) ).

cnf(c_0_70,negated_conjecture,
    addition(antidomain(antidomain(esk2_0)),addition(X1,antidomain(antidomain(antidomain(coantidomain(coantidomain(multiplication(coantidomain(coantidomain(antidomain(antidomain(antidomain(antidomain(antidomain(esk3_0))))))),esk1_0)))))))) = addition(X1,antidomain(antidomain(antidomain(coantidomain(coantidomain(multiplication(coantidomain(coantidomain(antidomain(antidomain(antidomain(antidomain(antidomain(esk3_0))))))),esk1_0))))))),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_56,c_0_63]),c_0_64]) ).

cnf(c_0_71,plain,
    antidomain(antidomain(antidomain(X1))) = antidomain(X1),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_65,c_0_59]),c_0_66]),c_0_67]) ).

cnf(c_0_72,plain,
    addition(X1,multiplication(X2,X1)) = multiplication(addition(X2,one),X1),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_52,c_0_60]),c_0_50]) ).

cnf(c_0_73,plain,
    multiplication(antidomain(coantidomain(coantidomain(X1))),coantidomain(X1)) = antidomain(coantidomain(coantidomain(X1))),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_65,c_0_68]),c_0_66]) ).

cnf(c_0_74,plain,
    addition(one,antidomain(X1)) = one,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_69,c_0_59]),c_0_50]) ).

cnf(c_0_75,plain,
    multiplication(X1,coantidomain(X1)) = zero,
    i_0_7 ).

cnf(c_0_76,plain,
    addition(antidomain(X1),addition(antidomain(antidomain(X1)),X2)) = addition(one,X2),
    inference(spm,[status(thm)],[c_0_51,c_0_59]) ).

cnf(c_0_77,negated_conjecture,
    addition(antidomain(antidomain(esk2_0)),addition(X1,antidomain(coantidomain(coantidomain(multiplication(coantidomain(coantidomain(antidomain(esk3_0))),esk1_0)))))) = addition(X1,antidomain(coantidomain(coantidomain(multiplication(coantidomain(coantidomain(antidomain(esk3_0))),esk1_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)],[c_0_70,c_0_71]),c_0_71]),c_0_71]),c_0_71]),c_0_71]),c_0_71]) ).

cnf(c_0_78,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_72,c_0_73]),c_0_50]),c_0_74]),c_0_60]) ).

cnf(c_0_79,plain,
    multiplication(X1,addition(coantidomain(X1),X2)) = multiplication(X1,X2),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_57,c_0_75]),c_0_54]) ).

cnf(c_0_80,plain,
    multiplication(multiplication(X1,X2),X3) = multiplication(X1,multiplication(X2,X3)),
    i_0_23 ).

cnf(c_0_81,plain,
    multiplication(zero,X1) = zero,
    i_0_21 ).

cnf(c_0_82,plain,
    multiplication(addition(antidomain(antidomain(X1)),X2),X1) = multiplication(addition(one,X2),X1),
    inference(spm,[status(thm)],[c_0_58,c_0_76]) ).

cnf(c_0_83,negated_conjecture,
    addition(antidomain(antidomain(esk2_0)),coantidomain(multiplication(coantidomain(coantidomain(antidomain(esk3_0))),esk1_0))) = coantidomain(multiplication(coantidomain(coantidomain(antidomain(esk3_0))),esk1_0)),
    inference(spm,[status(thm)],[c_0_77,c_0_78]) ).

cnf(c_0_84,plain,
    addition(one,coantidomain(X1)) = one,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_69,c_0_68]),c_0_50]) ).

cnf(c_0_85,plain,
    multiplication(X1,coantidomain(coantidomain(X1))) = X1,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_79,c_0_68]),c_0_66]) ).

cnf(c_0_86,plain,
    multiplication(X1,multiplication(coantidomain(X1),X2)) = zero,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_80,c_0_75]),c_0_81]) ).

cnf(c_0_87,plain,
    multiplication(coantidomain(multiplication(coantidomain(coantidomain(antidomain(esk3_0))),esk1_0)),esk2_0) = esk2_0,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_82,c_0_83]),c_0_84]),c_0_60]) ).

cnf(c_0_88,plain,
    multiplication(X1,multiplication(X2,coantidomain(multiplication(X1,X2)))) = zero,
    inference(spm,[status(thm)],[c_0_75,c_0_80]) ).

cnf(c_0_89,plain,
    addition(coantidomain(multiplication(X1,X2)),coantidomain(multiplication(coantidomain(coantidomain(X1)),X2))) = coantidomain(multiplication(coantidomain(coantidomain(X1)),X2)),
    i_0_8 ).

cnf(c_0_90,plain,
    multiplication(X1,multiplication(coantidomain(coantidomain(X1)),X2)) = multiplication(X1,X2),
    inference(spm,[status(thm)],[c_0_80,c_0_85]) ).

cnf(c_0_91,plain,
    multiplication(coantidomain(coantidomain(antidomain(esk3_0))),multiplication(esk1_0,esk2_0)) = zero,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_86,c_0_87]),c_0_80]) ).

cnf(c_0_92,plain,
    multiplication(X1,zero) = zero,
    i_0_28 ).

cnf(c_0_93,plain,
    coantidomain(one) = zero,
    inference(spm,[status(thm)],[c_0_60,c_0_75]) ).

cnf(c_0_94,plain,
    antidomain(one) = zero,
    inference(spm,[status(thm)],[c_0_66,c_0_53]) ).

cnf(c_0_95,plain,
    multiplication(addition(X1,antidomain(X2)),X2) = multiplication(X1,X2),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_52,c_0_53]),c_0_49]) ).

cnf(c_0_96,plain,
    addition(antidomain(multiplication(X1,X2)),antidomain(multiplication(X1,antidomain(antidomain(X2))))) = antidomain(multiplication(X1,antidomain(antidomain(X2)))),
    i_0_13 ).

cnf(c_0_97,plain,
    multiplication(addition(X1,X2),multiplication(X3,coantidomain(multiplication(X2,X3)))) = multiplication(X1,multiplication(X3,coantidomain(multiplication(X2,X3)))),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_52,c_0_88]),c_0_49]) ).

cnf(c_0_98,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_89,c_0_80]) ).

cnf(c_0_99,plain,
    multiplication(antidomain(esk3_0),multiplication(esk1_0,esk2_0)) = zero,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_90,c_0_91]),c_0_92]) ).

cnf(c_0_100,plain,
    coantidomain(zero) = one,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_68,c_0_93]),c_0_54]) ).

cnf(c_0_101,plain,
    multiplication(antidomain(X1),multiplication(X1,X2)) = zero,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_80,c_0_53]),c_0_81]) ).

cnf(c_0_102,plain,
    antidomain(zero) = one,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_59,c_0_94]),c_0_54]) ).

cnf(c_0_103,plain,
    multiplication(antidomain(X1),addition(X1,X2)) = multiplication(antidomain(X1),X2),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_57,c_0_53]),c_0_54]) ).

cnf(c_0_104,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_57]) ).

cnf(c_0_105,plain,
    multiplication(antidomain(multiplication(X1,X2)),multiplication(X1,antidomain(antidomain(X2)))) = zero,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_95,c_0_96]),c_0_53]) ).

cnf(c_0_106,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(spm,[status(thm)],[c_0_97,c_0_68]),c_0_60]) ).

cnf(c_0_107,plain,
    coantidomain(multiplication(coantidomain(coantidomain(multiplication(antidomain(esk3_0),esk1_0))),esk2_0)) = one,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_98,c_0_99]),c_0_100]),c_0_84]) ).

cnf(c_0_108,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_96,c_0_101]),c_0_102]),c_0_74]) ).

cnf(c_0_109,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_103,c_0_52]) ).

cnf(c_0_110,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_104,c_0_59]),c_0_66]) ).

cnf(c_0_111,plain,
    antidomain(multiplication(X1,antidomain(antidomain(multiplication(X2,coantidomain(multiplication(X1,X2))))))) = one,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_96,c_0_88]),c_0_102]),c_0_74]) ).

cnf(c_0_112,plain,
    multiplication(X1,antidomain(antidomain(multiplication(coantidomain(X1),X2)))) = zero,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_105,c_0_86]),c_0_102]),c_0_60]) ).

cnf(c_0_113,plain,
    multiplication(coantidomain(multiplication(antidomain(esk3_0),esk1_0)),esk2_0) = esk2_0,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_106,c_0_107]),c_0_66]),c_0_66]) ).

cnf(c_0_114,plain,
    multiplication(antidomain(X1),antidomain(antidomain(multiplication(X1,X2)))) = zero,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_53,c_0_108]),c_0_60]) ).

cnf(c_0_115,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_109,c_0_59]),c_0_60]) ).

cnf(c_0_116,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_109,c_0_74]),c_0_60]),c_0_60]),c_0_53]),c_0_60]) ).

cnf(c_0_117,plain,
    multiplication(X1,antidomain(multiplication(X2,coantidomain(multiplication(X1,X2))))) = X1,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_110,c_0_111]),c_0_60]),c_0_60]) ).

cnf(c_0_118,plain,
    multiplication(antidomain(esk3_0),multiplication(esk1_0,antidomain(antidomain(esk2_0)))) = zero,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_112,c_0_113]),c_0_80]) ).

cnf(c_0_119,negated_conjecture,
    addition(antidomain(antidomain(multiplication(esk1_0,antidomain(antidomain(antidomain(antidomain(esk2_0))))))),antidomain(antidomain(esk3_0))) != antidomain(antidomain(esk3_0)),
    i_0_19 ).

cnf(c_0_120,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_110,c_0_114]),c_0_102]),c_0_60]),c_0_102]),c_0_60]) ).

cnf(c_0_121,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_115,c_0_116]),c_0_102]),c_0_60]),c_0_102]),c_0_60]) ).

cnf(c_0_122,plain,
    multiplication(antidomain(esk3_0),antidomain(multiplication(esk1_0,antidomain(antidomain(esk2_0))))) = antidomain(esk3_0),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_117,c_0_118]),c_0_100]),c_0_80]),c_0_66]) ).

cnf(c_0_123,negated_conjecture,
    addition(antidomain(antidomain(esk3_0)),antidomain(antidomain(multiplication(esk1_0,antidomain(antidomain(antidomain(antidomain(esk2_0)))))))) != antidomain(antidomain(esk3_0)),
    inference(rw,[status(thm)],[c_0_119,c_0_50]) ).

cnf(c_0_124,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_72,c_0_120]),c_0_50]),c_0_74]),c_0_60]),c_0_50]) ).

cnf(c_0_125,plain,
    multiplication(antidomain(multiplication(esk1_0,antidomain(antidomain(esk2_0)))),antidomain(esk3_0)) = antidomain(esk3_0),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_121,c_0_122]),c_0_71]) ).

cnf(c_0_126,negated_conjecture,
    addition(antidomain(antidomain(esk3_0)),antidomain(antidomain(multiplication(esk1_0,antidomain(antidomain(esk2_0)))))) != antidomain(antidomain(esk3_0)),
    inference(rw,[status(thm)],[c_0_123,c_0_71]) ).

cnf(c_0_127,plain,
    $false,
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_124,c_0_125]),c_0_50]),c_0_126]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : KLE106+1 : TPTP v8.1.0. Released v4.0.0.
% 0.07/0.13  % Command  : enigmatic-eprover.py %s %d 1
% 0.13/0.34  % Computer : n021.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 600
% 0.13/0.34  % DateTime : Thu Jun 16 07:55:31 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.19/0.45  # ENIGMATIC: Selected SinE mode:
% 0.19/0.46  # Parsing /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.46  # Filter: axfilter_auto   0 goes into file theBenchmark_axfilter_auto   0.p
% 0.19/0.46  # Filter: axfilter_auto   1 goes into file theBenchmark_axfilter_auto   1.p
% 0.19/0.46  # Filter: axfilter_auto   2 goes into file theBenchmark_axfilter_auto   2.p
% 26.71/4.84  # ENIGMATIC: Solved by Enigma+tptp-cade20-model03-h2e15+lgb-t150-d30-l6400-e0.15+coop-eprover66:
% 26.71/4.84  # 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: 43; version: 991; iters: 150)
% 26.71/4.84  # Preprocessing time       : 0.834 s
% 26.71/4.84  # Presaturation interreduction done
% 26.71/4.84  
% 26.71/4.84  # Proof found!
% 26.71/4.84  # SZS status Theorem
% 26.71/4.84  # SZS output start CNFRefutation
% See solution above
% 26.71/4.84  # Training examples: 0 positive, 0 negative
% 26.71/4.84  
% 26.71/4.84  # -------------------------------------------------
% 26.71/4.84  # User time                : 1.755 s
% 26.71/4.84  # System time              : 0.130 s
% 26.71/4.84  # Total time               : 1.885 s
% 26.71/4.84  # ...preprocessing         : 0.834 s
% 26.71/4.84  # ...main loop             : 1.051 s
% 26.71/4.84  # Maximum resident set size: 167628 pages
% 26.71/4.84  
%------------------------------------------------------------------------------