TSTP Solution File: KLE115+1 by Enigma---0.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : KLE115+1 : TPTP v8.1.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : enigmatic-eprover.py %s %d 1

% Computer : n018.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 01:50:23 EDT 2022

% Result   : Theorem 55.89s 8.31s
% Output   : CNFRefutation 55.89s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   13
%            Number of leaves      :   14
% Syntax   : Number of clauses     :   89 (  89 unt;   0 nHn;   8 RR)
%            Number of literals    :   89 (  88 equ;   5 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    :    8 (   8 usr;   5 con; 0-2 aty)
%            Number of variables   :  163 (  17 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_4,plain,
    addition(X1,zero) = X1,
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-e9cbj7dh/input.p',i_0_4) ).

cnf(i_0_2,plain,
    addition(X1,X2) = addition(X2,X1),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-e9cbj7dh/input.p',i_0_2) ).

cnf(i_0_14,plain,
    addition(antidomain(antidomain(X1)),antidomain(X1)) = one,
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-e9cbj7dh/input.p',i_0_14) ).

cnf(i_0_24,plain,
    multiplication(X1,one) = X1,
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-e9cbj7dh/input.p',i_0_24) ).

cnf(i_0_12,plain,
    multiplication(antidomain(X1),X1) = zero,
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-e9cbj7dh/input.p',i_0_12) ).

cnf(i_0_1,plain,
    addition(addition(X1,X2),X3) = addition(X1,addition(X2,X3)),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-e9cbj7dh/input.p',i_0_1) ).

cnf(i_0_3,plain,
    addition(X1,X1) = X1,
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-e9cbj7dh/input.p',i_0_3) ).

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-e9cbj7dh/input.p',i_0_28) ).

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-e9cbj7dh/input.p',i_0_21) ).

cnf(i_0_22,plain,
    multiplication(multiplication(X1,X2),X3) = multiplication(X1,multiplication(X2,X3)),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-e9cbj7dh/input.p',i_0_22) ).

cnf(i_0_20,plain,
    multiplication(zero,X1) = zero,
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-e9cbj7dh/input.p',i_0_20) ).

cnf(i_0_23,plain,
    multiplication(one,X1) = X1,
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-e9cbj7dh/input.p',i_0_23) ).

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-e9cbj7dh/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(multiplication(esk1_0,antidomain(antidomain(antidomain(antidomain(esk3_0)))))))) != antidomain(antidomain(multiplication(esk1_0,antidomain(antidomain(addition(antidomain(antidomain(esk2_0)),antidomain(antidomain(esk3_0)))))))),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-e9cbj7dh/input.p',i_0_19) ).

cnf(c_0_43,plain,
    addition(X1,zero) = X1,
    i_0_4 ).

cnf(c_0_44,plain,
    addition(X1,X2) = addition(X2,X1),
    i_0_2 ).

cnf(c_0_45,plain,
    addition(antidomain(antidomain(X1)),antidomain(X1)) = one,
    i_0_14 ).

cnf(c_0_46,plain,
    multiplication(X1,one) = X1,
    i_0_24 ).

cnf(c_0_47,plain,
    multiplication(antidomain(X1),X1) = zero,
    i_0_12 ).

cnf(c_0_48,plain,
    addition(addition(X1,X2),X3) = addition(X1,addition(X2,X3)),
    i_0_1 ).

cnf(c_0_49,plain,
    addition(X1,X1) = X1,
    i_0_3 ).

cnf(c_0_50,plain,
    addition(multiplication(X1,X2),multiplication(X1,X3)) = multiplication(X1,addition(X2,X3)),
    i_0_28 ).

cnf(c_0_51,plain,
    addition(multiplication(X1,X2),multiplication(X3,X2)) = multiplication(addition(X1,X3),X2),
    i_0_21 ).

cnf(c_0_52,plain,
    addition(zero,X1) = X1,
    inference(spm,[status(thm)],[c_0_43,c_0_44]) ).

cnf(c_0_53,plain,
    multiplication(multiplication(X1,X2),X3) = multiplication(X1,multiplication(X2,X3)),
    i_0_22 ).

cnf(c_0_54,plain,
    multiplication(zero,X1) = zero,
    i_0_20 ).

cnf(c_0_55,plain,
    addition(antidomain(X1),antidomain(antidomain(X1))) = one,
    inference(rw,[status(thm)],[c_0_45,c_0_44]) ).

cnf(c_0_56,plain,
    antidomain(one) = zero,
    inference(spm,[status(thm)],[c_0_46,c_0_47]) ).

cnf(c_0_57,plain,
    addition(X1,addition(X1,X2)) = addition(X1,X2),
    inference(spm,[status(thm)],[c_0_48,c_0_49]) ).

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_50,c_0_47]),c_0_43]) ).

cnf(c_0_59,plain,
    addition(multiplication(X1,X2),addition(multiplication(X3,X2),X4)) = addition(multiplication(addition(X1,X3),X2),X4),
    inference(spm,[status(thm)],[c_0_48,c_0_51]) ).

cnf(c_0_60,plain,
    multiplication(addition(antidomain(X1),X2),X1) = multiplication(X2,X1),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_51,c_0_47]),c_0_52]) ).

cnf(c_0_61,plain,
    multiplication(one,X1) = X1,
    i_0_23 ).

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,
    multiplication(antidomain(X1),multiplication(X1,X2)) = zero,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_53,c_0_47]),c_0_54]) ).

cnf(c_0_64,plain,
    antidomain(zero) = one,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_55,c_0_56]),c_0_52]) ).

cnf(c_0_65,plain,
    addition(one,antidomain(X1)) = one,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_57,c_0_55]),c_0_44]) ).

cnf(c_0_66,plain,
    multiplication(antidomain(addition(X1,X2)),X1) = zero,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_58,c_0_57]),c_0_47]) ).

cnf(c_0_67,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_50]) ).

cnf(c_0_68,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_59,c_0_50]) ).

cnf(c_0_69,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_51]) ).

cnf(c_0_70,plain,
    multiplication(antidomain(antidomain(X1)),X1) = X1,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_60,c_0_55]),c_0_61]) ).

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_62,c_0_63]),c_0_64]),c_0_65]) ).

cnf(c_0_72,plain,
    multiplication(addition(antidomain(addition(X1,X2)),X3),X1) = multiplication(X3,X1),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_51,c_0_66]),c_0_52]) ).

cnf(c_0_73,plain,
    addition(X1,addition(X2,X1)) = addition(X2,X1),
    inference(spm,[status(thm)],[c_0_57,c_0_44]) ).

cnf(c_0_74,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_67,c_0_55]),c_0_46]) ).

cnf(c_0_75,plain,
    antidomain(multiplication(antidomain(addition(X1,X2)),antidomain(antidomain(X1)))) = one,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_62,c_0_66]),c_0_64]),c_0_65]) ).

cnf(c_0_76,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_68,c_0_65]),c_0_61]),c_0_61]) ).

cnf(c_0_77,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_69,c_0_55]),c_0_61]) ).

cnf(c_0_78,plain,
    multiplication(antidomain(X1),antidomain(antidomain(multiplication(X1,X2)))) = zero,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_70,c_0_71]),c_0_56]),c_0_54]) ).

cnf(c_0_79,plain,
    multiplication(antidomain(antidomain(addition(X1,X2))),X1) = X1,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_72,c_0_55]),c_0_61]) ).

cnf(c_0_80,plain,
    antidomain(antidomain(antidomain(X1))) = antidomain(X1),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_58,c_0_55]),c_0_46]),c_0_70]) ).

cnf(c_0_81,plain,
    multiplication(antidomain(addition(X1,X2)),X2) = zero,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_58,c_0_73]),c_0_47]) ).

cnf(c_0_82,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_74,c_0_75]),c_0_61]),c_0_61]) ).

cnf(c_0_83,plain,
    addition(antidomain(X1),multiplication(antidomain(X2),antidomain(antidomain(X1)))) = addition(antidomain(X1),antidomain(X2)),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_76,c_0_55]),c_0_46]) ).

cnf(c_0_84,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_77,c_0_78]),c_0_64]),c_0_61]),c_0_64]),c_0_61]) ).

cnf(c_0_85,plain,
    multiplication(antidomain(X1),addition(X1,X2)) = multiplication(antidomain(X1),X2),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_50,c_0_47]),c_0_52]) ).

cnf(c_0_86,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_79,c_0_62]),c_0_80]) ).

cnf(c_0_87,plain,
    antidomain(addition(X1,antidomain(X1))) = zero,
    inference(spm,[status(thm)],[c_0_81,c_0_82]) ).

cnf(c_0_88,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_74,c_0_78]),c_0_64]),c_0_61]),c_0_64]),c_0_61]) ).

cnf(c_0_89,plain,
    addition(antidomain(X1),antidomain(multiplication(antidomain(X1),X2))) = one,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_83,c_0_84]),c_0_55]),c_0_44]) ).

cnf(c_0_90,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_85,c_0_51]) ).

cnf(c_0_91,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_86,c_0_87]),c_0_64]),c_0_46]),c_0_88]) ).

cnf(c_0_92,plain,
    multiplication(antidomain(multiplication(antidomain(X1),X2)),X1) = X1,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_60,c_0_89]),c_0_61]) ).

cnf(c_0_93,plain,
    multiplication(antidomain(X1),multiplication(antidomain(X2),addition(X1,X3))) = multiplication(antidomain(X1),multiplication(antidomain(X2),X3)),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_85,c_0_76]),c_0_85]) ).

cnf(c_0_94,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_90,c_0_55]),c_0_61]) ).

cnf(c_0_95,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_90,c_0_65]),c_0_61]),c_0_61]),c_0_47]),c_0_61]) ).

cnf(c_0_96,plain,
    addition(X1,multiplication(X2,X1)) = multiplication(addition(X2,one),X1),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_51,c_0_61]),c_0_44]) ).

cnf(c_0_97,plain,
    antidomain(multiplication(X1,multiplication(X2,addition(X3,antidomain(X3))))) = antidomain(multiplication(X1,X2)),
    inference(spm,[status(thm)],[c_0_91,c_0_53]) ).

cnf(c_0_98,negated_conjecture,
    addition(antidomain(antidomain(multiplication(esk1_0,antidomain(antidomain(antidomain(antidomain(esk2_0))))))),antidomain(antidomain(multiplication(esk1_0,antidomain(antidomain(antidomain(antidomain(esk3_0)))))))) != antidomain(antidomain(multiplication(esk1_0,antidomain(antidomain(addition(antidomain(antidomain(esk2_0)),antidomain(antidomain(esk3_0)))))))),
    i_0_19 ).

cnf(c_0_99,plain,
    multiplication(antidomain(multiplication(antidomain(X1),X2)),multiplication(X1,X3)) = multiplication(X1,X3),
    inference(spm,[status(thm)],[c_0_53,c_0_92]) ).

cnf(c_0_100,plain,
    multiplication(antidomain(X1),multiplication(antidomain(X2),addition(X3,X1))) = multiplication(antidomain(X1),multiplication(antidomain(X2),X3)),
    inference(spm,[status(thm)],[c_0_93,c_0_44]) ).

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_94,c_0_95]),c_0_64]),c_0_61]),c_0_64]),c_0_61]) ).

cnf(c_0_102,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_96,c_0_88]),c_0_44]),c_0_65]),c_0_61]),c_0_44]) ).

cnf(c_0_103,plain,
    antidomain(multiplication(X1,antidomain(antidomain(X2)))) = antidomain(multiplication(X1,X2)),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_97,c_0_58]),c_0_70]) ).

cnf(c_0_104,negated_conjecture,
    addition(antidomain(antidomain(multiplication(esk1_0,antidomain(antidomain(esk2_0))))),antidomain(antidomain(multiplication(esk1_0,antidomain(antidomain(esk3_0)))))) != antidomain(antidomain(multiplication(esk1_0,antidomain(antidomain(addition(antidomain(antidomain(esk2_0)),antidomain(antidomain(esk3_0)))))))),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_98,c_0_80]),c_0_80]) ).

cnf(c_0_105,plain,
    multiplication(antidomain(multiplication(antidomain(antidomain(X1)),X2)),X2) = multiplication(antidomain(X1),X2),
    inference(rw,[status(thm)],[c_0_77,c_0_99]) ).

cnf(c_0_106,plain,
    antidomain(multiplication(antidomain(antidomain(X1)),antidomain(X2))) = antidomain(multiplication(antidomain(X2),X1)),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_97,c_0_100]),c_0_101]) ).

cnf(c_0_107,plain,
    addition(antidomain(X1),antidomain(multiplication(antidomain(antidomain(X1)),X2))) = antidomain(multiplication(antidomain(antidomain(X1)),X2)),
    inference(spm,[status(thm)],[c_0_102,c_0_80]) ).

cnf(c_0_108,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_74,c_0_103]),c_0_103]) ).

cnf(c_0_109,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_77,c_0_95]),c_0_64]),c_0_61]),c_0_64]),c_0_61]) ).

cnf(c_0_110,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_94,c_0_81]),c_0_64]),c_0_61]),c_0_64]),c_0_61]) ).

cnf(c_0_111,negated_conjecture,
    addition(antidomain(antidomain(multiplication(esk1_0,esk2_0))),antidomain(antidomain(multiplication(esk1_0,esk3_0)))) != antidomain(antidomain(multiplication(esk1_0,addition(antidomain(antidomain(esk2_0)),antidomain(antidomain(esk3_0)))))),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_104,c_0_103]),c_0_103]),c_0_103]) ).

cnf(c_0_112,plain,
    addition(antidomain(X1),antidomain(X2)) = antidomain(multiplication(antidomain(antidomain(X1)),X2)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_83,c_0_105]),c_0_83]),c_0_106]),c_0_107]) ).

cnf(c_0_113,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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_108,c_0_105]),c_0_106]),c_0_92]),c_0_109]),c_0_106]),c_0_92]),c_0_106]) ).

cnf(c_0_114,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_88,c_0_110]),c_0_80]),c_0_80]) ).

cnf(c_0_115,negated_conjecture,
    antidomain(multiplication(antidomain(multiplication(esk1_0,esk2_0)),antidomain(multiplication(esk1_0,esk3_0)))) != antidomain(antidomain(multiplication(esk1_0,antidomain(multiplication(antidomain(esk2_0),antidomain(esk3_0)))))),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_111,c_0_112]),c_0_80]),c_0_112]),c_0_80]) ).

cnf(c_0_116,plain,
    multiplication(antidomain(X1),antidomain(X2)) = antidomain(addition(X1,X2)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_113,c_0_58]),c_0_113]),c_0_114]) ).

cnf(c_0_117,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_115,c_0_116]),c_0_50]),c_0_116]),c_0_103])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11  % Problem  : KLE115+1 : TPTP v8.1.0. Released v4.0.0.
% 0.10/0.11  % Command  : enigmatic-eprover.py %s %d 1
% 0.12/0.32  % Computer : n018.cluster.edu
% 0.12/0.32  % Model    : x86_64 x86_64
% 0.12/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.32  % Memory   : 8042.1875MB
% 0.12/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.32  % CPULimit : 300
% 0.12/0.32  % WCLimit  : 600
% 0.12/0.32  % DateTime : Thu Jun 16 13:55:48 EDT 2022
% 0.12/0.32  % CPUTime  : 
% 0.17/0.44  # ENIGMATIC: Selected SinE mode:
% 0.17/0.44  # Parsing /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.17/0.44  # Filter: axfilter_auto   0 goes into file theBenchmark_axfilter_auto   0.p
% 0.17/0.44  # Filter: axfilter_auto   1 goes into file theBenchmark_axfilter_auto   1.p
% 0.17/0.44  # Filter: axfilter_auto   2 goes into file theBenchmark_axfilter_auto   2.p
% 55.89/8.31  # ENIGMATIC: Solved by Enigma+tptp-cade20-model03-h2e15+lgb-t150-d30-l6400-e0.15+coop-eprover66:
% 55.89/8.31  # 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: 33; version: 991; iters: 150)
% 55.89/8.31  # Preprocessing time       : 0.821 s
% 55.89/8.31  # Presaturation interreduction done
% 55.89/8.31  
% 55.89/8.31  # Proof found!
% 55.89/8.31  # SZS status Theorem
% 55.89/8.31  # SZS output start CNFRefutation
% See solution above
% 55.89/8.31  # Training examples: 0 positive, 0 negative
% 55.89/8.31  
% 55.89/8.31  # -------------------------------------------------
% 55.89/8.31  # User time                : 5.966 s
% 55.89/8.31  # System time              : 0.166 s
% 55.89/8.31  # Total time               : 6.132 s
% 55.89/8.31  # ...preprocessing         : 0.821 s
% 55.89/8.31  # ...main loop             : 5.311 s
% 55.89/8.31  # Maximum resident set size: 167748 pages
% 55.89/8.31  
%------------------------------------------------------------------------------