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Enigma---0.5.1.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : KLE044+1 : TPTP v8.1.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : enigmatic-eprover.py %s %d 1

% Computer : n028.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 01:49:50 EDT 2022

% Result   : Theorem 9.78s 2.64s
% Output   : CNFRefutation 9.78s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   22
%            Number of leaves      :   15
% Syntax   : Number of formulae    :  108 (  78 unt;   0 def)
%            Number of atoms       :  140 (  62 equ)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :   63 (  31   ~;  28   |;   1   &)
%                                         (   1 <=>;   2  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   2 avg)
%            Maximal term depth    :    5 (   2 avg)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :    6 (   6 usr;   3 con; 0-2 aty)
%            Number of variables   :  166 (  11 sgn  54   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(star_induction_left,axiom,
    ! [X1,X2,X3] :
      ( leq(addition(multiplication(X1,X2),X3),X2)
     => leq(multiplication(star(X1),X3),X2) ),
    file('/export/starexec/sandbox/benchmark/Axioms/KLE002+0.ax',star_induction_left) ).

fof(additive_commutativity,axiom,
    ! [X1,X2] : addition(X1,X2) = addition(X2,X1),
    file('/export/starexec/sandbox/benchmark/Axioms/KLE002+0.ax',additive_commutativity) ).

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/KLE002+0.ax',right_distributivity) ).

fof(multiplicative_right_identity,axiom,
    ! [X1] : multiplication(X1,one) = X1,
    file('/export/starexec/sandbox/benchmark/Axioms/KLE002+0.ax',multiplicative_right_identity) ).

fof(star_unfold_right,axiom,
    ! [X1] : leq(addition(one,multiplication(X1,star(X1))),star(X1)),
    file('/export/starexec/sandbox/benchmark/Axioms/KLE002+0.ax',star_unfold_right) ).

fof(multiplicative_left_identity,axiom,
    ! [X1] : multiplication(one,X1) = X1,
    file('/export/starexec/sandbox/benchmark/Axioms/KLE002+0.ax',multiplicative_left_identity) ).

fof(star_induction_right,axiom,
    ! [X1,X2,X3] :
      ( leq(addition(multiplication(X1,X2),X3),X1)
     => leq(multiplication(X3,star(X2)),X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/KLE002+0.ax',star_induction_right) ).

fof(order,axiom,
    ! [X1,X2] :
      ( leq(X1,X2)
    <=> addition(X1,X2) = X2 ),
    file('/export/starexec/sandbox/benchmark/Axioms/KLE002+0.ax',order) ).

fof(additive_associativity,axiom,
    ! [X3,X2,X1] : addition(X1,addition(X2,X3)) = addition(addition(X1,X2),X3),
    file('/export/starexec/sandbox/benchmark/Axioms/KLE002+0.ax',additive_associativity) ).

fof(additive_idempotence,axiom,
    ! [X1] : addition(X1,X1) = X1,
    file('/export/starexec/sandbox/benchmark/Axioms/KLE002+0.ax',additive_idempotence) ).

fof(additive_identity,axiom,
    ! [X1] : addition(X1,zero) = X1,
    file('/export/starexec/sandbox/benchmark/Axioms/KLE002+0.ax',additive_identity) ).

fof(star_unfold_left,axiom,
    ! [X1] : leq(addition(one,multiplication(star(X1),X1)),star(X1)),
    file('/export/starexec/sandbox/benchmark/Axioms/KLE002+0.ax',star_unfold_left) ).

fof(right_annihilation,axiom,
    ! [X1] : multiplication(X1,zero) = zero,
    file('/export/starexec/sandbox/benchmark/Axioms/KLE002+0.ax',right_annihilation) ).

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/KLE002+0.ax',left_distributivity) ).

fof(goals,conjecture,
    ! [X4] : star(addition(one,X4)) = star(X4),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',goals) ).

fof(c_0_15,plain,
    ! [X29,X30,X31] :
      ( ~ leq(addition(multiplication(X29,X30),X31),X30)
      | leq(multiplication(star(X29),X31),X30) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[star_induction_left])]) ).

fof(c_0_16,plain,
    ! [X5,X6] : addition(X5,X6) = addition(X6,X5),
    inference(variable_rename,[status(thm)],[additive_commutativity]) ).

fof(c_0_17,plain,
    ! [X17,X18,X19] : multiplication(X17,addition(X18,X19)) = addition(multiplication(X17,X18),multiplication(X17,X19)),
    inference(variable_rename,[status(thm)],[right_distributivity]) ).

fof(c_0_18,plain,
    ! [X15] : multiplication(X15,one) = X15,
    inference(variable_rename,[status(thm)],[multiplicative_right_identity]) ).

cnf(c_0_19,plain,
    ( leq(multiplication(star(X1),X3),X2)
    | ~ leq(addition(multiplication(X1,X2),X3),X2) ),
    inference(split_conjunct,[status(thm)],[c_0_15]) ).

cnf(c_0_20,plain,
    addition(X1,X2) = addition(X2,X1),
    inference(split_conjunct,[status(thm)],[c_0_16]) ).

cnf(c_0_21,plain,
    multiplication(X1,addition(X2,X3)) = addition(multiplication(X1,X2),multiplication(X1,X3)),
    inference(split_conjunct,[status(thm)],[c_0_17]) ).

cnf(c_0_22,plain,
    multiplication(X1,one) = X1,
    inference(split_conjunct,[status(thm)],[c_0_18]) ).

fof(c_0_23,plain,
    ! [X27] : leq(addition(one,multiplication(X27,star(X27))),star(X27)),
    inference(variable_rename,[status(thm)],[star_unfold_right]) ).

fof(c_0_24,plain,
    ! [X16] : multiplication(one,X16) = X16,
    inference(variable_rename,[status(thm)],[multiplicative_left_identity]) ).

cnf(c_0_25,plain,
    ( leq(multiplication(star(X1),X2),X3)
    | ~ leq(addition(X2,multiplication(X1,X3)),X3) ),
    inference(spm,[status(thm)],[c_0_19,c_0_20]) ).

cnf(c_0_26,plain,
    addition(X1,multiplication(X1,X2)) = multiplication(X1,addition(X2,one)),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_21,c_0_22]),c_0_20]) ).

fof(c_0_27,plain,
    ! [X32,X33,X34] :
      ( ~ leq(addition(multiplication(X32,X33),X34),X32)
      | leq(multiplication(X34,star(X33)),X32) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[star_induction_right])]) ).

fof(c_0_28,plain,
    ! [X25,X26] :
      ( ( ~ leq(X25,X26)
        | addition(X25,X26) = X26 )
      & ( addition(X25,X26) != X26
        | leq(X25,X26) ) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[order])]) ).

cnf(c_0_29,plain,
    leq(addition(one,multiplication(X1,star(X1))),star(X1)),
    inference(split_conjunct,[status(thm)],[c_0_23]) ).

cnf(c_0_30,plain,
    multiplication(one,X1) = X1,
    inference(split_conjunct,[status(thm)],[c_0_24]) ).

fof(c_0_31,plain,
    ! [X7,X8,X9] : addition(X9,addition(X8,X7)) = addition(addition(X9,X8),X7),
    inference(variable_rename,[status(thm)],[additive_associativity]) ).

fof(c_0_32,plain,
    ! [X11] : addition(X11,X11) = X11,
    inference(variable_rename,[status(thm)],[additive_idempotence]) ).

cnf(c_0_33,plain,
    ( leq(multiplication(star(X1),X1),X2)
    | ~ leq(multiplication(X1,addition(X2,one)),X2) ),
    inference(spm,[status(thm)],[c_0_25,c_0_26]) ).

cnf(c_0_34,plain,
    ( leq(multiplication(X3,star(X2)),X1)
    | ~ leq(addition(multiplication(X1,X2),X3),X1) ),
    inference(split_conjunct,[status(thm)],[c_0_27]) ).

cnf(c_0_35,plain,
    ( addition(X1,X2) = X2
    | ~ leq(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_28]) ).

cnf(c_0_36,plain,
    leq(addition(one,star(one)),star(one)),
    inference(spm,[status(thm)],[c_0_29,c_0_30]) ).

cnf(c_0_37,plain,
    addition(X1,addition(X2,X3)) = addition(addition(X1,X2),X3),
    inference(split_conjunct,[status(thm)],[c_0_31]) ).

cnf(c_0_38,plain,
    addition(X1,X1) = X1,
    inference(split_conjunct,[status(thm)],[c_0_32]) ).

cnf(c_0_39,plain,
    ( leq(star(one),X1)
    | ~ leq(addition(X1,one),X1) ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_30]),c_0_22]) ).

cnf(c_0_40,plain,
    ( leq(multiplication(X1,star(one)),X2)
    | ~ leq(addition(X2,X1),X2) ),
    inference(spm,[status(thm)],[c_0_34,c_0_22]) ).

cnf(c_0_41,plain,
    addition(one,star(one)) = star(one),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_36]),c_0_37]),c_0_38]) ).

cnf(c_0_42,plain,
    ( leq(star(one),X1)
    | ~ leq(addition(one,X1),X1) ),
    inference(spm,[status(thm)],[c_0_39,c_0_20]) ).

cnf(c_0_43,plain,
    addition(X1,addition(X1,X2)) = addition(X1,X2),
    inference(spm,[status(thm)],[c_0_37,c_0_38]) ).

cnf(c_0_44,plain,
    ( leq(multiplication(X1,star(one)),X2)
    | ~ leq(addition(X1,X2),X2) ),
    inference(spm,[status(thm)],[c_0_40,c_0_20]) ).

cnf(c_0_45,plain,
    addition(one,addition(star(one),X1)) = addition(star(one),X1),
    inference(spm,[status(thm)],[c_0_37,c_0_41]) ).

cnf(c_0_46,plain,
    ( leq(star(one),addition(one,X1))
    | ~ leq(addition(one,X1),addition(one,X1)) ),
    inference(spm,[status(thm)],[c_0_42,c_0_43]) ).

cnf(c_0_47,plain,
    ( leq(X1,X2)
    | addition(X1,X2) != X2 ),
    inference(split_conjunct,[status(thm)],[c_0_28]) ).

cnf(c_0_48,plain,
    addition(X1,addition(X2,X1)) = addition(X2,X1),
    inference(spm,[status(thm)],[c_0_43,c_0_20]) ).

fof(c_0_49,plain,
    ! [X10] : addition(X10,zero) = X10,
    inference(variable_rename,[status(thm)],[additive_identity]) ).

cnf(c_0_50,plain,
    ( leq(star(one),addition(star(one),X1))
    | ~ leq(addition(star(one),X1),addition(star(one),X1)) ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_44,c_0_45]),c_0_30]) ).

cnf(c_0_51,plain,
    leq(star(one),addition(one,X1)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_46,c_0_47]),c_0_37]),c_0_48]),c_0_43])]) ).

cnf(c_0_52,plain,
    addition(X1,zero) = X1,
    inference(split_conjunct,[status(thm)],[c_0_49]) ).

cnf(c_0_53,plain,
    leq(star(one),addition(star(one),X1)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_50,c_0_47]),c_0_37]),c_0_48]),c_0_43])]) ).

cnf(c_0_54,plain,
    addition(X1,addition(X2,X3)) = addition(X3,addition(X1,X2)),
    inference(spm,[status(thm)],[c_0_20,c_0_37]) ).

cnf(c_0_55,plain,
    leq(star(one),one),
    inference(spm,[status(thm)],[c_0_51,c_0_52]) ).

cnf(c_0_56,plain,
    leq(star(one),addition(X1,addition(star(one),X2))),
    inference(spm,[status(thm)],[c_0_53,c_0_54]) ).

cnf(c_0_57,plain,
    star(one) = one,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_55]),c_0_20]),c_0_41]) ).

fof(c_0_58,plain,
    ! [X28] : leq(addition(one,multiplication(star(X28),X28)),star(X28)),
    inference(variable_rename,[status(thm)],[star_unfold_left]) ).

fof(c_0_59,plain,
    ! [X23] : multiplication(X23,zero) = zero,
    inference(variable_rename,[status(thm)],[right_annihilation]) ).

cnf(c_0_60,plain,
    leq(one,addition(X1,addition(one,X2))),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_56,c_0_57]),c_0_57]) ).

cnf(c_0_61,plain,
    addition(one,addition(star(X1),multiplication(X1,star(X1)))) = star(X1),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_29]),c_0_37]),c_0_20]) ).

cnf(c_0_62,plain,
    leq(addition(one,multiplication(star(X1),X1)),star(X1)),
    inference(split_conjunct,[status(thm)],[c_0_58]) ).

cnf(c_0_63,plain,
    ( leq(multiplication(X1,star(X2)),X3)
    | ~ leq(addition(X1,multiplication(X3,X2)),X3) ),
    inference(spm,[status(thm)],[c_0_34,c_0_20]) ).

cnf(c_0_64,plain,
    multiplication(X1,zero) = zero,
    inference(split_conjunct,[status(thm)],[c_0_59]) ).

cnf(c_0_65,plain,
    addition(zero,X1) = X1,
    inference(spm,[status(thm)],[c_0_52,c_0_20]) ).

cnf(c_0_66,plain,
    leq(one,addition(X1,star(X2))),
    inference(spm,[status(thm)],[c_0_60,c_0_61]) ).

cnf(c_0_67,plain,
    addition(one,multiplication(star(X1),addition(X1,one))) = star(X1),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_62]),c_0_37]),c_0_20]),c_0_26]) ).

cnf(c_0_68,plain,
    leq(star(X1),star(X1)),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_63,c_0_62]),c_0_30]) ).

cnf(c_0_69,plain,
    ( leq(multiplication(X1,star(zero)),X2)
    | ~ leq(X1,X2) ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_34,c_0_64]),c_0_65]) ).

cnf(c_0_70,plain,
    leq(one,addition(star(X1),X2)),
    inference(spm,[status(thm)],[c_0_66,c_0_20]) ).

fof(c_0_71,plain,
    ! [X20,X21,X22] : multiplication(addition(X20,X21),X22) = addition(multiplication(X20,X22),multiplication(X21,X22)),
    inference(variable_rename,[status(thm)],[left_distributivity]) ).

cnf(c_0_72,plain,
    leq(star(addition(X1,one)),star(X1)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_63,c_0_67]),c_0_30]),c_0_68])]) ).

cnf(c_0_73,plain,
    ( leq(star(zero),X1)
    | ~ leq(one,X1) ),
    inference(spm,[status(thm)],[c_0_69,c_0_30]) ).

cnf(c_0_74,plain,
    addition(one,addition(star(X1),X2)) = addition(star(X1),X2),
    inference(spm,[status(thm)],[c_0_35,c_0_70]) ).

cnf(c_0_75,plain,
    multiplication(addition(X1,X2),X3) = addition(multiplication(X1,X3),multiplication(X2,X3)),
    inference(split_conjunct,[status(thm)],[c_0_71]) ).

cnf(c_0_76,plain,
    ( leq(multiplication(addition(multiplication(X1,X2),X3),star(X2)),X1)
    | ~ leq(addition(multiplication(X1,X2),X3),X1) ),
    inference(spm,[status(thm)],[c_0_34,c_0_43]) ).

cnf(c_0_77,plain,
    addition(star(X1),star(addition(X1,one))) = star(X1),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_72]),c_0_20]) ).

cnf(c_0_78,plain,
    ( addition(star(zero),X1) = X1
    | ~ leq(one,X1) ),
    inference(spm,[status(thm)],[c_0_35,c_0_73]) ).

cnf(c_0_79,plain,
    leq(one,one),
    inference(rw,[status(thm)],[c_0_55,c_0_57]) ).

cnf(c_0_80,plain,
    addition(star(X1),multiplication(X1,star(X1))) = star(X1),
    inference(rw,[status(thm)],[c_0_61,c_0_74]) ).

cnf(c_0_81,plain,
    addition(X1,multiplication(X2,X1)) = multiplication(addition(X2,one),X1),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_75,c_0_30]),c_0_20]) ).

cnf(c_0_82,plain,
    ( leq(multiplication(star(one),X1),X2)
    | ~ leq(addition(X2,X1),X2) ),
    inference(spm,[status(thm)],[c_0_19,c_0_30]) ).

cnf(c_0_83,plain,
    ( addition(X1,multiplication(addition(multiplication(X1,X2),X3),star(X2))) = X1
    | ~ leq(addition(multiplication(X1,X2),X3),X1) ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_76]),c_0_20]) ).

cnf(c_0_84,plain,
    star(zero) = one,
    inference(cn,[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_77,c_0_78]),c_0_65]),c_0_57]),c_0_65]),c_0_57]),c_0_79])]) ).

cnf(c_0_85,plain,
    ( leq(multiplication(star(X1),multiplication(X1,X2)),X2)
    | ~ leq(multiplication(X1,X2),X2) ),
    inference(spm,[status(thm)],[c_0_19,c_0_38]) ).

cnf(c_0_86,plain,
    multiplication(addition(X1,one),star(X1)) = star(X1),
    inference(rw,[status(thm)],[c_0_80,c_0_81]) ).

cnf(c_0_87,plain,
    ( leq(X1,X2)
    | ~ leq(addition(X2,X1),X2) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_82,c_0_57]),c_0_30]) ).

cnf(c_0_88,plain,
    ( addition(X1,X2) = X1
    | ~ leq(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_83,c_0_84]),c_0_64]),c_0_65]),c_0_22]),c_0_64]),c_0_65]) ).

cnf(c_0_89,plain,
    leq(multiplication(star(addition(X1,one)),star(X1)),star(X1)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_85,c_0_86]),c_0_68])]) ).

cnf(c_0_90,plain,
    addition(one,star(X1)) = star(X1),
    inference(spm,[status(thm)],[c_0_43,c_0_61]) ).

cnf(c_0_91,plain,
    ( leq(multiplication(X1,X2),X1)
    | ~ leq(multiplication(X1,addition(X2,one)),X1) ),
    inference(spm,[status(thm)],[c_0_87,c_0_26]) ).

cnf(c_0_92,plain,
    multiplication(star(X1),addition(X1,one)) = star(X1),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_48,c_0_67]),c_0_20]),c_0_26]),c_0_37]),c_0_38]) ).

cnf(c_0_93,plain,
    leq(star(addition(X1,addition(X2,one))),star(addition(X1,X2))),
    inference(spm,[status(thm)],[c_0_72,c_0_37]) ).

cnf(c_0_94,plain,
    ( leq(multiplication(X1,star(X2)),X1)
    | ~ leq(multiplication(X1,addition(X2,one)),X1) ),
    inference(spm,[status(thm)],[c_0_63,c_0_26]) ).

cnf(c_0_95,plain,
    multiplication(star(addition(X1,one)),star(X1)) = star(X1),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_88,c_0_89]),c_0_81]),c_0_20]),c_0_90]) ).

cnf(c_0_96,plain,
    leq(multiplication(star(X1),X1),star(X1)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_91,c_0_92]),c_0_68])]) ).

fof(c_0_97,negated_conjecture,
    ~ ! [X4] : star(addition(one,X4)) = star(X4),
    inference(assume_negation,[status(cth)],[goals]) ).

cnf(c_0_98,plain,
    leq(star(addition(X1,one)),star(addition(one,X1))),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_93,c_0_38]),c_0_37]),c_0_48]) ).

cnf(c_0_99,plain,
    leq(star(X1),star(addition(X1,one))),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_94,c_0_95]),c_0_96])]) ).

cnf(c_0_100,plain,
    leq(star(addition(one,X1)),star(X1)),
    inference(spm,[status(thm)],[c_0_72,c_0_20]) ).

fof(c_0_101,negated_conjecture,
    star(addition(one,esk1_0)) != star(esk1_0),
    inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_97])])]) ).

cnf(c_0_102,plain,
    addition(star(addition(X1,one)),star(addition(one,X1))) = star(addition(one,X1)),
    inference(spm,[status(thm)],[c_0_35,c_0_98]) ).

cnf(c_0_103,plain,
    star(addition(X1,one)) = star(X1),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_99]),c_0_77]) ).

cnf(c_0_104,plain,
    addition(star(X1),star(addition(one,X1))) = star(X1),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_100]),c_0_20]) ).

cnf(c_0_105,negated_conjecture,
    star(addition(one,esk1_0)) != star(esk1_0),
    inference(split_conjunct,[status(thm)],[c_0_101]) ).

cnf(c_0_106,plain,
    star(addition(one,X1)) = star(X1),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_102,c_0_103]),c_0_104]) ).

cnf(c_0_107,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_105,c_0_106])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem  : KLE044+1 : TPTP v8.1.0. Released v4.0.0.
% 0.07/0.13  % Command  : enigmatic-eprover.py %s %d 1
% 0.15/0.35  % Computer : n028.cluster.edu
% 0.15/0.35  % Model    : x86_64 x86_64
% 0.15/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35  % Memory   : 8042.1875MB
% 0.15/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35  % CPULimit : 300
% 0.15/0.35  % WCLimit  : 600
% 0.15/0.35  % DateTime : Thu Jun 16 12:29:28 EDT 2022
% 0.15/0.35  % CPUTime  : 
% 0.21/0.46  # ENIGMATIC: Selected SinE mode:
% 0.21/0.47  # Parsing /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.21/0.47  # Filter: axfilter_auto   0 goes into file theBenchmark_axfilter_auto   0.p
% 0.21/0.47  # Filter: axfilter_auto   1 goes into file theBenchmark_axfilter_auto   1.p
% 0.21/0.47  # Filter: axfilter_auto   2 goes into file theBenchmark_axfilter_auto   2.p
% 9.78/2.64  # ENIGMATIC: Solved by autoschedule:
% 9.78/2.64  # No SInE strategy applied
% 9.78/2.64  # Trying AutoSched0 for 150 seconds
% 9.78/2.64  # AutoSched0-Mode selected heuristic G_____0010_evo
% 9.78/2.64  # and selection function SelectMaxLComplexAvoidPosPred.
% 9.78/2.64  #
% 9.78/2.64  # Preprocessing time       : 0.024 s
% 9.78/2.64  
% 9.78/2.64  # Proof found!
% 9.78/2.64  # SZS status Theorem
% 9.78/2.64  # SZS output start CNFRefutation
% See solution above
% 9.78/2.64  # Training examples: 0 positive, 0 negative
% 9.78/2.64  
% 9.78/2.64  # -------------------------------------------------
% 9.78/2.64  # User time                : 0.170 s
% 9.78/2.64  # System time              : 0.010 s
% 9.78/2.64  # Total time               : 0.179 s
% 9.78/2.64  # Maximum resident set size: 7120 pages
% 9.78/2.64  
%------------------------------------------------------------------------------