TSTP Solution File: KLE097+1 by Enigma---0.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : KLE097+1 : TPTP v8.1.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : enigmatic-eprover.py %s %d 1

% Computer : n025.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 01:50:06 EDT 2022

% Result   : Theorem 15.10s 3.25s
% Output   : CNFRefutation 15.10s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   19
%            Number of leaves      :   16
% Syntax   : Number of formulae    :   97 (  94 unt;   0 def)
%            Number of atoms       :  100 (  99 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :    9 (   6   ~;   0   |;   1   &)
%                                         (   0 <=>;   0  =>;   2  <=;   0 <~>)
%            Maximal formula depth :    6 (   2 avg)
%            Maximal term depth    :    9 (   2 avg)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :   10 (  10 usr;   5 con; 0-2 aty)
%            Number of variables   :  140 (  14 sgn  58   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(left_distributivity,axiom,
    ! [X1,X2,X3] : multiplication(addition(X1,X2),X3) = addition(multiplication(X1,X3),multiplication(X2,X3)),
    file('/export/starexec/sandbox/benchmark/Axioms/KLE001+0.ax',left_distributivity) ).

fof(domain1,axiom,
    ! [X4] : multiplication(antidomain(X4),X4) = zero,
    file('/export/starexec/sandbox/benchmark/Axioms/KLE001+4.ax',domain1) ).

fof(additive_identity,axiom,
    ! [X1] : addition(X1,zero) = X1,
    file('/export/starexec/sandbox/benchmark/Axioms/KLE001+0.ax',additive_identity) ).

fof(additive_commutativity,axiom,
    ! [X1,X2] : addition(X1,X2) = addition(X2,X1),
    file('/export/starexec/sandbox/benchmark/Axioms/KLE001+0.ax',additive_commutativity) ).

fof(domain3,axiom,
    ! [X4] : addition(antidomain(antidomain(X4)),antidomain(X4)) = one,
    file('/export/starexec/sandbox/benchmark/Axioms/KLE001+4.ax',domain3) ).

fof(domain2,axiom,
    ! [X4,X5] : addition(antidomain(multiplication(X4,X5)),antidomain(multiplication(X4,antidomain(antidomain(X5))))) = antidomain(multiplication(X4,antidomain(antidomain(X5)))),
    file('/export/starexec/sandbox/benchmark/Axioms/KLE001+4.ax',domain2) ).

fof(multiplicative_left_identity,axiom,
    ! [X1] : multiplication(one,X1) = X1,
    file('/export/starexec/sandbox/benchmark/Axioms/KLE001+0.ax',multiplicative_left_identity) ).

fof(multiplicative_associativity,axiom,
    ! [X1,X2,X3] : multiplication(X1,multiplication(X2,X3)) = multiplication(multiplication(X1,X2),X3),
    file('/export/starexec/sandbox/benchmark/Axioms/KLE001+0.ax',multiplicative_associativity) ).

fof(left_annihilation,axiom,
    ! [X1] : multiplication(zero,X1) = zero,
    file('/export/starexec/sandbox/benchmark/Axioms/KLE001+0.ax',left_annihilation) ).

fof(goals,conjecture,
    ! [X4,X5,X6] :
      ( addition(forward_diamond(X4,domain(X5)),domain(X6)) = domain(X6)
     <= addition(multiplication(X4,domain(X5)),multiplication(domain(X6),X4)) = multiplication(domain(X6),X4) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',goals) ).

fof(right_distributivity,axiom,
    ! [X1,X2,X3] : multiplication(X1,addition(X2,X3)) = addition(multiplication(X1,X2),multiplication(X1,X3)),
    file('/export/starexec/sandbox/benchmark/Axioms/KLE001+0.ax',right_distributivity) ).

fof(domain4,axiom,
    ! [X4] : domain(X4) = antidomain(antidomain(X4)),
    file('/export/starexec/sandbox/benchmark/Axioms/KLE001+4.ax',domain4) ).

fof(multiplicative_right_identity,axiom,
    ! [X1] : multiplication(X1,one) = X1,
    file('/export/starexec/sandbox/benchmark/Axioms/KLE001+0.ax',multiplicative_right_identity) ).

fof(additive_associativity,axiom,
    ! [X3,X2,X1] : addition(X1,addition(X2,X3)) = addition(addition(X1,X2),X3),
    file('/export/starexec/sandbox/benchmark/Axioms/KLE001+0.ax',additive_associativity) ).

fof(additive_idempotence,axiom,
    ! [X1] : addition(X1,X1) = X1,
    file('/export/starexec/sandbox/benchmark/Axioms/KLE001+0.ax',additive_idempotence) ).

fof(forward_diamond,axiom,
    ! [X4,X5] : forward_diamond(X4,X5) = domain(multiplication(X4,domain(X5))),
    file('/export/starexec/sandbox/benchmark/Axioms/KLE001+6.ax',forward_diamond) ).

fof(c_0_16,plain,
    ! [X22,X23,X24] : multiplication(addition(X22,X23),X24) = addition(multiplication(X22,X24),multiplication(X23,X24)),
    inference(variable_rename,[status(thm)],[left_distributivity]) ).

fof(c_0_17,plain,
    ! [X29] : multiplication(antidomain(X29),X29) = zero,
    inference(variable_rename,[status(thm)],[domain1]) ).

fof(c_0_18,plain,
    ! [X12] : addition(X12,zero) = X12,
    inference(variable_rename,[status(thm)],[additive_identity]) ).

cnf(c_0_19,plain,
    multiplication(addition(X1,X2),X3) = addition(multiplication(X1,X3),multiplication(X2,X3)),
    inference(split_conjunct,[status(thm)],[c_0_16]) ).

cnf(c_0_20,plain,
    multiplication(antidomain(X1),X1) = zero,
    inference(split_conjunct,[status(thm)],[c_0_17]) ).

cnf(c_0_21,plain,
    addition(X1,zero) = X1,
    inference(split_conjunct,[status(thm)],[c_0_18]) ).

fof(c_0_22,plain,
    ! [X7,X8] : addition(X7,X8) = addition(X8,X7),
    inference(variable_rename,[status(thm)],[additive_commutativity]) ).

fof(c_0_23,plain,
    ! [X32] : addition(antidomain(antidomain(X32)),antidomain(X32)) = one,
    inference(variable_rename,[status(thm)],[domain3]) ).

fof(c_0_24,plain,
    ! [X30,X31] : addition(antidomain(multiplication(X30,X31)),antidomain(multiplication(X30,antidomain(antidomain(X31))))) = antidomain(multiplication(X30,antidomain(antidomain(X31)))),
    inference(variable_rename,[status(thm)],[domain2]) ).

fof(c_0_25,plain,
    ! [X18] : multiplication(one,X18) = X18,
    inference(variable_rename,[status(thm)],[multiplicative_left_identity]) ).

fof(c_0_26,plain,
    ! [X14,X15,X16] : multiplication(X14,multiplication(X15,X16)) = multiplication(multiplication(X14,X15),X16),
    inference(variable_rename,[status(thm)],[multiplicative_associativity]) ).

fof(c_0_27,plain,
    ! [X26] : multiplication(zero,X26) = zero,
    inference(variable_rename,[status(thm)],[left_annihilation]) ).

fof(c_0_28,negated_conjecture,
    ~ ! [X4,X5,X6] :
        ( addition(forward_diamond(X4,domain(X5)),domain(X6)) = domain(X6)
       <= addition(multiplication(X4,domain(X5)),multiplication(domain(X6),X4)) = multiplication(domain(X6),X4) ),
    inference(assume_negation,[status(cth)],[goals]) ).

fof(c_0_29,plain,
    ! [X19,X20,X21] : multiplication(X19,addition(X20,X21)) = addition(multiplication(X19,X20),multiplication(X19,X21)),
    inference(variable_rename,[status(thm)],[right_distributivity]) ).

cnf(c_0_30,plain,
    multiplication(addition(X1,antidomain(X2)),X2) = multiplication(X1,X2),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_19,c_0_20]),c_0_21]) ).

cnf(c_0_31,plain,
    addition(X1,X2) = addition(X2,X1),
    inference(split_conjunct,[status(thm)],[c_0_22]) ).

cnf(c_0_32,plain,
    addition(antidomain(antidomain(X1)),antidomain(X1)) = one,
    inference(split_conjunct,[status(thm)],[c_0_23]) ).

cnf(c_0_33,plain,
    addition(antidomain(multiplication(X1,X2)),antidomain(multiplication(X1,antidomain(antidomain(X2))))) = antidomain(multiplication(X1,antidomain(antidomain(X2)))),
    inference(split_conjunct,[status(thm)],[c_0_24]) ).

cnf(c_0_34,plain,
    multiplication(one,X1) = X1,
    inference(split_conjunct,[status(thm)],[c_0_25]) ).

cnf(c_0_35,plain,
    multiplication(X1,multiplication(X2,X3)) = multiplication(multiplication(X1,X2),X3),
    inference(split_conjunct,[status(thm)],[c_0_26]) ).

cnf(c_0_36,plain,
    multiplication(zero,X1) = zero,
    inference(split_conjunct,[status(thm)],[c_0_27]) ).

fof(c_0_37,negated_conjecture,
    ( addition(multiplication(esk1_0,domain(esk2_0)),multiplication(domain(esk3_0),esk1_0)) = multiplication(domain(esk3_0),esk1_0)
    & addition(forward_diamond(esk1_0,domain(esk2_0)),domain(esk3_0)) != domain(esk3_0) ),
    inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[c_0_28])])])]) ).

fof(c_0_38,plain,
    ! [X33] : domain(X33) = antidomain(antidomain(X33)),
    inference(variable_rename,[status(thm)],[domain4]) ).

cnf(c_0_39,plain,
    multiplication(X1,addition(X2,X3)) = addition(multiplication(X1,X2),multiplication(X1,X3)),
    inference(split_conjunct,[status(thm)],[c_0_29]) ).

fof(c_0_40,plain,
    ! [X17] : multiplication(X17,one) = X17,
    inference(variable_rename,[status(thm)],[multiplicative_right_identity]) ).

cnf(c_0_41,plain,
    multiplication(addition(antidomain(X1),X2),X1) = multiplication(X2,X1),
    inference(spm,[status(thm)],[c_0_30,c_0_31]) ).

cnf(c_0_42,plain,
    addition(antidomain(X1),antidomain(antidomain(X1))) = one,
    inference(rw,[status(thm)],[c_0_32,c_0_31]) ).

cnf(c_0_43,plain,
    addition(antidomain(X1),antidomain(antidomain(antidomain(X1)))) = antidomain(antidomain(antidomain(X1))),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_34]),c_0_34]) ).

cnf(c_0_44,plain,
    multiplication(antidomain(X1),multiplication(X1,X2)) = zero,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_20]),c_0_36]) ).

cnf(c_0_45,negated_conjecture,
    addition(multiplication(esk1_0,domain(esk2_0)),multiplication(domain(esk3_0),esk1_0)) = multiplication(domain(esk3_0),esk1_0),
    inference(split_conjunct,[status(thm)],[c_0_37]) ).

cnf(c_0_46,plain,
    domain(X1) = antidomain(antidomain(X1)),
    inference(split_conjunct,[status(thm)],[c_0_38]) ).

cnf(c_0_47,plain,
    multiplication(antidomain(X1),addition(X2,X1)) = multiplication(antidomain(X1),X2),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_39,c_0_20]),c_0_21]) ).

cnf(c_0_48,plain,
    multiplication(X1,one) = X1,
    inference(split_conjunct,[status(thm)],[c_0_40]) ).

cnf(c_0_49,plain,
    multiplication(antidomain(antidomain(X1)),X1) = X1,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_41,c_0_42]),c_0_34]) ).

cnf(c_0_50,plain,
    multiplication(antidomain(X1),antidomain(antidomain(X1))) = zero,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_43]),c_0_20]) ).

cnf(c_0_51,plain,
    multiplication(antidomain(X1),addition(X2,multiplication(X1,X3))) = multiplication(antidomain(X1),X2),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_39,c_0_44]),c_0_21]) ).

cnf(c_0_52,negated_conjecture,
    addition(multiplication(esk1_0,antidomain(antidomain(esk2_0))),multiplication(antidomain(antidomain(esk3_0)),esk1_0)) = multiplication(antidomain(antidomain(esk3_0)),esk1_0),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_45,c_0_46]),c_0_46]),c_0_46]) ).

cnf(c_0_53,plain,
    antidomain(antidomain(antidomain(X1))) = antidomain(X1),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_47,c_0_42]),c_0_48]),c_0_49]) ).

cnf(c_0_54,plain,
    multiplication(antidomain(X1),multiplication(antidomain(antidomain(X1)),X2)) = zero,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_50]),c_0_36]) ).

fof(c_0_55,plain,
    ! [X9,X10,X11] : addition(X11,addition(X10,X9)) = addition(addition(X11,X10),X9),
    inference(variable_rename,[status(thm)],[additive_associativity]) ).

fof(c_0_56,plain,
    ! [X13] : addition(X13,X13) = X13,
    inference(variable_rename,[status(thm)],[additive_idempotence]) ).

cnf(c_0_57,negated_conjecture,
    multiplication(antidomain(esk3_0),multiplication(esk1_0,antidomain(antidomain(esk2_0)))) = zero,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_51,c_0_52]),c_0_53]),c_0_54]),c_0_53]) ).

cnf(c_0_58,plain,
    addition(X1,addition(X2,X3)) = addition(addition(X1,X2),X3),
    inference(split_conjunct,[status(thm)],[c_0_55]) ).

cnf(c_0_59,plain,
    addition(X1,X1) = X1,
    inference(split_conjunct,[status(thm)],[c_0_56]) ).

cnf(c_0_60,negated_conjecture,
    multiplication(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_35,c_0_57]),c_0_36]),c_0_35]) ).

cnf(c_0_61,plain,
    antidomain(one) = zero,
    inference(spm,[status(thm)],[c_0_48,c_0_20]) ).

cnf(c_0_62,plain,
    addition(zero,X1) = X1,
    inference(spm,[status(thm)],[c_0_21,c_0_31]) ).

cnf(c_0_63,plain,
    addition(X1,addition(X1,X2)) = addition(X1,X2),
    inference(spm,[status(thm)],[c_0_58,c_0_59]) ).

cnf(c_0_64,negated_conjecture,
    multiplication(antidomain(esk3_0),multiplication(esk1_0,esk2_0)) = zero,
    inference(spm,[status(thm)],[c_0_60,c_0_49]) ).

cnf(c_0_65,plain,
    antidomain(zero) = one,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_42,c_0_61]),c_0_62]) ).

cnf(c_0_66,plain,
    addition(one,antidomain(X1)) = one,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_63,c_0_42]),c_0_31]) ).

cnf(c_0_67,negated_conjecture,
    antidomain(multiplication(antidomain(esk3_0),antidomain(antidomain(multiplication(esk1_0,esk2_0))))) = one,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_64]),c_0_65]),c_0_66]) ).

cnf(c_0_68,negated_conjecture,
    multiplication(antidomain(esk3_0),antidomain(antidomain(multiplication(esk1_0,esk2_0)))) = zero,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_20,c_0_67]),c_0_34]) ).

cnf(c_0_69,plain,
    multiplication(antidomain(addition(X1,X2)),X1) = zero,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_47,c_0_63]),c_0_20]) ).

cnf(c_0_70,negated_conjecture,
    multiplication(antidomain(esk3_0),addition(antidomain(antidomain(multiplication(esk1_0,esk2_0))),X1)) = multiplication(antidomain(esk3_0),X1),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_39,c_0_68]),c_0_62]) ).

cnf(c_0_71,plain,
    addition(X1,addition(X2,X1)) = addition(X2,X1),
    inference(spm,[status(thm)],[c_0_63,c_0_31]) ).

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_19,c_0_69]),c_0_62]) ).

cnf(c_0_73,plain,
    addition(X1,multiplication(X2,X1)) = multiplication(addition(X2,one),X1),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_19,c_0_34]),c_0_31]) ).

cnf(c_0_74,negated_conjecture,
    multiplication(antidomain(esk3_0),antidomain(multiplication(esk1_0,esk2_0))) = antidomain(esk3_0),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_70,c_0_42]),c_0_48]),c_0_53]) ).

fof(c_0_75,plain,
    ! [X42,X43] : forward_diamond(X42,X43) = domain(multiplication(X42,domain(X43))),
    inference(variable_rename,[status(thm)],[forward_diamond]) ).

cnf(c_0_76,plain,
    multiplication(antidomain(addition(X1,X2)),X2) = zero,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_47,c_0_71]),c_0_20]) ).

cnf(c_0_77,plain,
    multiplication(antidomain(antidomain(addition(X1,X2))),X1) = X1,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_72,c_0_42]),c_0_34]) ).

cnf(c_0_78,negated_conjecture,
    addition(antidomain(esk3_0),antidomain(multiplication(esk1_0,esk2_0))) = antidomain(multiplication(esk1_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_73,c_0_74]),c_0_31]),c_0_66]),c_0_34]),c_0_31]) ).

cnf(c_0_79,plain,
    forward_diamond(X1,X2) = domain(multiplication(X1,domain(X2))),
    inference(split_conjunct,[status(thm)],[c_0_75]) ).

cnf(c_0_80,plain,
    addition(antidomain(X1),addition(antidomain(antidomain(X1)),X2)) = addition(one,X2),
    inference(spm,[status(thm)],[c_0_58,c_0_42]) ).

cnf(c_0_81,plain,
    multiplication(antidomain(addition(X1,X2)),addition(X3,X2)) = multiplication(antidomain(addition(X1,X2)),X3),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_39,c_0_76]),c_0_21]) ).

cnf(c_0_82,plain,
    multiplication(antidomain(antidomain(addition(X1,X2))),multiplication(X1,X3)) = multiplication(X1,X3),
    inference(spm,[status(thm)],[c_0_35,c_0_77]) ).

cnf(c_0_83,negated_conjecture,
    multiplication(antidomain(multiplication(esk1_0,esk2_0)),antidomain(esk3_0)) = antidomain(esk3_0),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_77,c_0_78]),c_0_53]) ).

cnf(c_0_84,negated_conjecture,
    addition(forward_diamond(esk1_0,domain(esk2_0)),domain(esk3_0)) != domain(esk3_0),
    inference(split_conjunct,[status(thm)],[c_0_37]) ).

cnf(c_0_85,plain,
    forward_diamond(X1,X2) = antidomain(antidomain(multiplication(X1,antidomain(antidomain(X2))))),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_79,c_0_46]),c_0_46]) ).

cnf(c_0_86,plain,
    multiplication(antidomain(addition(antidomain(antidomain(X1)),X2)),antidomain(X1)) = antidomain(addition(antidomain(antidomain(X1)),X2)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_47,c_0_80]),c_0_81]),c_0_48]) ).

cnf(c_0_87,negated_conjecture,
    multiplication(antidomain(antidomain(addition(antidomain(multiplication(esk1_0,esk2_0)),X1))),antidomain(esk3_0)) = antidomain(esk3_0),
    inference(spm,[status(thm)],[c_0_82,c_0_83]) ).

cnf(c_0_88,negated_conjecture,
    addition(antidomain(antidomain(multiplication(esk1_0,antidomain(antidomain(antidomain(antidomain(esk2_0))))))),antidomain(antidomain(esk3_0))) != antidomain(antidomain(esk3_0)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_84,c_0_46]),c_0_46]),c_0_46]),c_0_85]) ).

cnf(c_0_89,plain,
    addition(antidomain(X1),antidomain(addition(antidomain(antidomain(X1)),X2))) = antidomain(X1),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_73,c_0_86]),c_0_31]),c_0_66]),c_0_34]) ).

cnf(c_0_90,plain,
    addition(X1,multiplication(X1,X2)) = multiplication(X1,addition(X2,one)),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_39,c_0_48]),c_0_31]) ).

cnf(c_0_91,negated_conjecture,
    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_87,c_0_33]),c_0_53]) ).

cnf(c_0_92,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_88,c_0_31]) ).

cnf(c_0_93,plain,
    addition(antidomain(antidomain(X1)),antidomain(addition(antidomain(X1),X2))) = antidomain(antidomain(X1)),
    inference(spm,[status(thm)],[c_0_89,c_0_53]) ).

cnf(c_0_94,negated_conjecture,
    addition(antidomain(esk3_0),antidomain(multiplication(esk1_0,antidomain(antidomain(esk2_0))))) = antidomain(multiplication(esk1_0,antidomain(antidomain(esk2_0)))),
    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_91]),c_0_31]),c_0_66]),c_0_48]),c_0_31]) ).

cnf(c_0_95,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_92,c_0_53]) ).

cnf(c_0_96,negated_conjecture,
    $false,
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_93,c_0_94]),c_0_95]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : KLE097+1 : TPTP v8.1.0. Released v4.0.0.
% 0.07/0.12  % Command  : enigmatic-eprover.py %s %d 1
% 0.13/0.33  % Computer : n025.cluster.edu
% 0.13/0.33  % Model    : x86_64 x86_64
% 0.13/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33  % Memory   : 8042.1875MB
% 0.13/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33  % CPULimit : 300
% 0.13/0.33  % WCLimit  : 600
% 0.13/0.33  % DateTime : Thu Jun 16 15:50:28 EDT 2022
% 0.13/0.33  % CPUTime  : 
% 0.19/0.44  # ENIGMATIC: Selected SinE mode:
% 0.19/0.45  # Parsing /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.45  # Filter: axfilter_auto   0 goes into file theBenchmark_axfilter_auto   0.p
% 0.19/0.45  # Filter: axfilter_auto   1 goes into file theBenchmark_axfilter_auto   1.p
% 0.19/0.45  # Filter: axfilter_auto   2 goes into file theBenchmark_axfilter_auto   2.p
% 15.10/3.25  # ENIGMATIC: Solved by autoschedule:
% 15.10/3.25  # No SInE strategy applied
% 15.10/3.25  # Trying AutoSched0 for 150 seconds
% 15.10/3.25  # AutoSched0-Mode selected heuristic G_E___100_C18_F1_PI_AE_Q4_CS_SP_PS_S0Y
% 15.10/3.25  # and selection function SelectMaxLComplexAvoidPosPred.
% 15.10/3.25  #
% 15.10/3.25  # Preprocessing time       : 0.025 s
% 15.10/3.25  # Presaturation interreduction done
% 15.10/3.25  
% 15.10/3.25  # Proof found!
% 15.10/3.25  # SZS status Theorem
% 15.10/3.25  # SZS output start CNFRefutation
% See solution above
% 15.10/3.25  # Training examples: 0 positive, 0 negative
% 15.10/3.25  
% 15.10/3.25  # -------------------------------------------------
% 15.10/3.25  # User time                : 0.808 s
% 15.10/3.25  # System time              : 0.049 s
% 15.10/3.25  # Total time               : 0.857 s
% 15.10/3.25  # Maximum resident set size: 7124 pages
% 15.10/3.25  
%------------------------------------------------------------------------------