TSTP Solution File: KLE029+1 by Enigma---0.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : KLE029+1 : TPTP v8.1.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : enigmatic-eprover.py %s %d 1

% Computer : n005.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 01:49:44 EDT 2022

% Result   : Theorem 7.68s 2.39s
% Output   : CNFRefutation 7.68s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   28
%            Number of leaves      :    7
% Syntax   : Number of formulae    :   82 (  31 unt;   0 def)
%            Number of atoms       :  212 (  26 equ)
%            Maximal formula atoms :   20 (   2 avg)
%            Number of connectives :  199 (  69   ~; 107   |;  16   &)
%                                         (   6 <=>;   1  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   17 (   3 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :    5 (   3 usr;   1 prp; 0-3 aty)
%            Number of functors    :    6 (   6 usr;   3 con; 0-3 aty)
%            Number of variables   :  108 (   4 sgn  45   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(goals,conjecture,
    ! [X4,X5,X6] :
      ( ismeet(X4,X5,X6)
    <=> ismeetu(X4,X5,X6) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goals) ).

fof(ismeetu,axiom,
    ! [X4,X5,X6] :
      ( ismeetu(X6,X4,X5)
    <=> ! [X7] :
          ( ( leq(X7,X4)
            & leq(X7,X5) )
        <=> leq(X7,X6) ) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/KLE001+3.ax',ismeetu) ).

fof(order,axiom,
    ! [X1,X2] :
      ( leq(X1,X2)
    <=> addition(X1,X2) = X2 ),
    file('/export/starexec/sandbox2/benchmark/Axioms/KLE001+0.ax',order) ).

fof(additive_idempotence,axiom,
    ! [X1] : addition(X1,X1) = X1,
    file('/export/starexec/sandbox2/benchmark/Axioms/KLE001+0.ax',additive_idempotence) ).

fof(ismeet,axiom,
    ! [X4,X5,X6] :
      ( ismeet(X6,X4,X5)
    <=> ( leq(X6,X4)
        & leq(X6,X5)
        & ! [X7] :
            ( ( leq(X7,X4)
              & leq(X7,X5) )
           => leq(X7,X6) ) ) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/KLE001+3.ax',ismeet) ).

fof(additive_commutativity,axiom,
    ! [X1,X2] : addition(X1,X2) = addition(X2,X1),
    file('/export/starexec/sandbox2/benchmark/Axioms/KLE001+0.ax',additive_commutativity) ).

fof(additive_associativity,axiom,
    ! [X3,X2,X1] : addition(X1,addition(X2,X3)) = addition(addition(X1,X2),X3),
    file('/export/starexec/sandbox2/benchmark/Axioms/KLE001+0.ax',additive_associativity) ).

fof(c_0_7,negated_conjecture,
    ~ ! [X4,X5,X6] :
        ( ismeet(X4,X5,X6)
      <=> ismeetu(X4,X5,X6) ),
    inference(assume_negation,[status(cth)],[goals]) ).

fof(c_0_8,plain,
    ! [X38,X39,X40,X41,X42,X43,X44,X45] :
      ( ( ~ leq(X41,X38)
        | ~ leq(X41,X39)
        | leq(X41,X40)
        | ~ ismeetu(X40,X38,X39) )
      & ( leq(X42,X38)
        | ~ leq(X42,X40)
        | ~ ismeetu(X40,X38,X39) )
      & ( leq(X42,X39)
        | ~ leq(X42,X40)
        | ~ ismeetu(X40,X38,X39) )
      & ( ~ leq(esk2_3(X43,X44,X45),X43)
        | ~ leq(esk2_3(X43,X44,X45),X44)
        | ~ leq(esk2_3(X43,X44,X45),X45)
        | ismeetu(X45,X43,X44) )
      & ( leq(esk2_3(X43,X44,X45),X43)
        | leq(esk2_3(X43,X44,X45),X45)
        | ismeetu(X45,X43,X44) )
      & ( leq(esk2_3(X43,X44,X45),X44)
        | leq(esk2_3(X43,X44,X45),X45)
        | ismeetu(X45,X43,X44) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[ismeetu])])])])])]) ).

fof(c_0_9,negated_conjecture,
    ( ( ~ ismeet(esk3_0,esk4_0,esk5_0)
      | ~ ismeetu(esk3_0,esk4_0,esk5_0) )
    & ( ismeet(esk3_0,esk4_0,esk5_0)
      | ismeetu(esk3_0,esk4_0,esk5_0) ) ),
    inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_7])])]) ).

fof(c_0_10,plain,
    ! [X28,X29] :
      ( ( ~ leq(X28,X29)
        | addition(X28,X29) = X29 )
      & ( addition(X28,X29) != X29
        | leq(X28,X29) ) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[order])]) ).

fof(c_0_11,plain,
    ! [X14] : addition(X14,X14) = X14,
    inference(variable_rename,[status(thm)],[additive_idempotence]) ).

cnf(c_0_12,plain,
    ( leq(X1,X2)
    | ~ leq(X1,X3)
    | ~ ismeetu(X3,X4,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_8]) ).

cnf(c_0_13,negated_conjecture,
    ( ismeet(esk3_0,esk4_0,esk5_0)
    | ismeetu(esk3_0,esk4_0,esk5_0) ),
    inference(split_conjunct,[status(thm)],[c_0_9]) ).

cnf(c_0_14,plain,
    ( leq(X1,X2)
    | addition(X1,X2) != X2 ),
    inference(split_conjunct,[status(thm)],[c_0_10]) ).

cnf(c_0_15,plain,
    addition(X1,X1) = X1,
    inference(split_conjunct,[status(thm)],[c_0_11]) ).

fof(c_0_16,plain,
    ! [X30,X31,X32,X33,X34,X35,X36] :
      ( ( leq(X32,X30)
        | ~ ismeet(X32,X30,X31) )
      & ( leq(X32,X31)
        | ~ ismeet(X32,X30,X31) )
      & ( ~ leq(X33,X30)
        | ~ leq(X33,X31)
        | leq(X33,X32)
        | ~ ismeet(X32,X30,X31) )
      & ( leq(esk1_3(X34,X35,X36),X34)
        | ~ leq(X36,X34)
        | ~ leq(X36,X35)
        | ismeet(X36,X34,X35) )
      & ( leq(esk1_3(X34,X35,X36),X35)
        | ~ leq(X36,X34)
        | ~ leq(X36,X35)
        | ismeet(X36,X34,X35) )
      & ( ~ leq(esk1_3(X34,X35,X36),X36)
        | ~ leq(X36,X34)
        | ~ leq(X36,X35)
        | ismeet(X36,X34,X35) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[ismeet])])])])])]) ).

cnf(c_0_17,negated_conjecture,
    ( ismeet(esk3_0,esk4_0,esk5_0)
    | leq(X1,esk5_0)
    | ~ leq(X1,esk3_0) ),
    inference(spm,[status(thm)],[c_0_12,c_0_13]) ).

cnf(c_0_18,plain,
    leq(X1,X1),
    inference(spm,[status(thm)],[c_0_14,c_0_15]) ).

cnf(c_0_19,plain,
    ( leq(X1,X2)
    | ~ ismeet(X1,X3,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_16]) ).

cnf(c_0_20,plain,
    ( leq(X1,X2)
    | ~ leq(X1,X3)
    | ~ ismeetu(X3,X2,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_8]) ).

cnf(c_0_21,plain,
    ( leq(esk1_3(X1,X2,X3),X2)
    | ismeet(X3,X1,X2)
    | ~ leq(X3,X1)
    | ~ leq(X3,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_16]) ).

cnf(c_0_22,negated_conjecture,
    leq(esk3_0,esk5_0),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_17,c_0_18]),c_0_19]) ).

cnf(c_0_23,negated_conjecture,
    ( ismeet(esk3_0,esk4_0,esk5_0)
    | leq(X1,esk4_0)
    | ~ leq(X1,esk3_0) ),
    inference(spm,[status(thm)],[c_0_20,c_0_13]) ).

cnf(c_0_24,plain,
    ( leq(X1,X2)
    | ~ ismeet(X1,X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_16]) ).

cnf(c_0_25,negated_conjecture,
    ( ~ ismeet(esk3_0,esk4_0,esk5_0)
    | ~ ismeetu(esk3_0,esk4_0,esk5_0) ),
    inference(split_conjunct,[status(thm)],[c_0_9]) ).

cnf(c_0_26,plain,
    ( leq(esk2_3(X1,X2,X3),X2)
    | leq(esk2_3(X1,X2,X3),X3)
    | ismeetu(X3,X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_8]) ).

cnf(c_0_27,negated_conjecture,
    ( ismeet(esk3_0,X1,esk5_0)
    | leq(esk1_3(X1,esk5_0,esk3_0),esk5_0)
    | ~ leq(esk3_0,X1) ),
    inference(spm,[status(thm)],[c_0_21,c_0_22]) ).

cnf(c_0_28,negated_conjecture,
    leq(esk3_0,esk4_0),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_23,c_0_18]),c_0_24]) ).

cnf(c_0_29,plain,
    ( leq(esk1_3(X1,X2,X3),X1)
    | ismeet(X3,X1,X2)
    | ~ leq(X3,X1)
    | ~ leq(X3,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_16]) ).

cnf(c_0_30,plain,
    ( leq(X1,X4)
    | ~ leq(X1,X2)
    | ~ leq(X1,X3)
    | ~ ismeetu(X4,X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_8]) ).

cnf(c_0_31,plain,
    ( leq(X1,X4)
    | ~ leq(X1,X2)
    | ~ leq(X1,X3)
    | ~ ismeet(X4,X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_16]) ).

cnf(c_0_32,negated_conjecture,
    ( leq(esk2_3(esk4_0,esk5_0,esk3_0),esk5_0)
    | leq(esk2_3(esk4_0,esk5_0,esk3_0),esk3_0)
    | ~ ismeet(esk3_0,esk4_0,esk5_0) ),
    inference(spm,[status(thm)],[c_0_25,c_0_26]) ).

cnf(c_0_33,negated_conjecture,
    ( ismeet(esk3_0,esk4_0,esk5_0)
    | leq(esk1_3(esk4_0,esk5_0,esk3_0),esk5_0) ),
    inference(spm,[status(thm)],[c_0_27,c_0_28]) ).

cnf(c_0_34,negated_conjecture,
    ( ismeet(esk3_0,X1,esk5_0)
    | leq(esk1_3(X1,esk5_0,esk3_0),X1)
    | ~ leq(esk3_0,X1) ),
    inference(spm,[status(thm)],[c_0_29,c_0_22]) ).

cnf(c_0_35,negated_conjecture,
    ( leq(X1,esk3_0)
    | ~ leq(X1,esk5_0)
    | ~ leq(X1,esk4_0) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_13]),c_0_31]) ).

cnf(c_0_36,negated_conjecture,
    ( leq(esk1_3(esk4_0,esk5_0,esk3_0),esk5_0)
    | leq(esk2_3(esk4_0,esk5_0,esk3_0),esk3_0)
    | leq(esk2_3(esk4_0,esk5_0,esk3_0),esk5_0) ),
    inference(spm,[status(thm)],[c_0_32,c_0_33]) ).

cnf(c_0_37,negated_conjecture,
    ( ismeet(esk3_0,esk4_0,esk5_0)
    | leq(esk1_3(esk4_0,esk5_0,esk3_0),esk4_0) ),
    inference(spm,[status(thm)],[c_0_34,c_0_28]) ).

cnf(c_0_38,negated_conjecture,
    ( leq(esk2_3(esk4_0,esk5_0,esk3_0),esk5_0)
    | leq(esk2_3(esk4_0,esk5_0,esk3_0),esk3_0)
    | leq(esk1_3(esk4_0,esk5_0,esk3_0),esk3_0)
    | ~ leq(esk1_3(esk4_0,esk5_0,esk3_0),esk4_0) ),
    inference(spm,[status(thm)],[c_0_35,c_0_36]) ).

cnf(c_0_39,negated_conjecture,
    ( leq(esk1_3(esk4_0,esk5_0,esk3_0),esk4_0)
    | leq(esk2_3(esk4_0,esk5_0,esk3_0),esk3_0)
    | leq(esk2_3(esk4_0,esk5_0,esk3_0),esk5_0) ),
    inference(spm,[status(thm)],[c_0_32,c_0_37]) ).

cnf(c_0_40,plain,
    ( ismeet(X3,X1,X2)
    | ~ leq(esk1_3(X1,X2,X3),X3)
    | ~ leq(X3,X1)
    | ~ leq(X3,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_16]) ).

cnf(c_0_41,negated_conjecture,
    ( leq(esk1_3(esk4_0,esk5_0,esk3_0),esk3_0)
    | leq(esk2_3(esk4_0,esk5_0,esk3_0),esk3_0)
    | leq(esk2_3(esk4_0,esk5_0,esk3_0),esk5_0) ),
    inference(spm,[status(thm)],[c_0_38,c_0_39]) ).

cnf(c_0_42,plain,
    ( leq(esk2_3(X1,X2,X3),X1)
    | leq(esk2_3(X1,X2,X3),X3)
    | ismeetu(X3,X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_8]) ).

cnf(c_0_43,negated_conjecture,
    ( ismeet(esk3_0,esk4_0,esk5_0)
    | leq(esk2_3(esk4_0,esk5_0,esk3_0),esk5_0) ),
    inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_40,c_0_41]),c_0_22]),c_0_28])]),c_0_17]) ).

fof(c_0_44,plain,
    ! [X8,X9] : addition(X8,X9) = addition(X9,X8),
    inference(variable_rename,[status(thm)],[additive_commutativity]) ).

cnf(c_0_45,negated_conjecture,
    ( leq(esk2_3(esk4_0,esk5_0,esk3_0),esk4_0)
    | leq(esk2_3(esk4_0,esk5_0,esk3_0),esk3_0)
    | ~ ismeet(esk3_0,esk4_0,esk5_0) ),
    inference(spm,[status(thm)],[c_0_25,c_0_42]) ).

cnf(c_0_46,negated_conjecture,
    ( leq(esk2_3(esk4_0,esk5_0,esk3_0),esk3_0)
    | leq(esk2_3(esk4_0,esk5_0,esk3_0),esk5_0) ),
    inference(spm,[status(thm)],[c_0_32,c_0_43]) ).

cnf(c_0_47,plain,
    addition(X1,X2) = addition(X2,X1),
    inference(split_conjunct,[status(thm)],[c_0_44]) ).

cnf(c_0_48,plain,
    ( addition(X1,X2) = X2
    | ~ leq(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_10]) ).

cnf(c_0_49,negated_conjecture,
    ( leq(esk1_3(esk4_0,esk5_0,esk3_0),esk4_0)
    | leq(esk2_3(esk4_0,esk5_0,esk3_0),esk3_0)
    | leq(esk2_3(esk4_0,esk5_0,esk3_0),esk4_0) ),
    inference(spm,[status(thm)],[c_0_45,c_0_37]) ).

cnf(c_0_50,negated_conjecture,
    ( leq(esk2_3(esk4_0,esk5_0,esk3_0),esk3_0)
    | ~ leq(esk2_3(esk4_0,esk5_0,esk3_0),esk4_0) ),
    inference(spm,[status(thm)],[c_0_35,c_0_46]) ).

cnf(c_0_51,negated_conjecture,
    ( leq(esk1_3(esk4_0,esk5_0,esk3_0),esk5_0)
    | leq(esk2_3(esk4_0,esk5_0,esk3_0),esk3_0)
    | leq(esk2_3(esk4_0,esk5_0,esk3_0),esk4_0) ),
    inference(spm,[status(thm)],[c_0_45,c_0_33]) ).

cnf(c_0_52,plain,
    ( leq(X1,X2)
    | addition(X2,X1) != X2 ),
    inference(spm,[status(thm)],[c_0_14,c_0_47]) ).

cnf(c_0_53,negated_conjecture,
    ( addition(esk4_0,esk1_3(esk4_0,esk5_0,esk3_0)) = esk4_0
    | leq(esk2_3(esk4_0,esk5_0,esk3_0),esk3_0) ),
    inference(csr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_48,c_0_49]),c_0_47]),c_0_50]) ).

cnf(c_0_54,negated_conjecture,
    ( leq(esk2_3(esk4_0,esk5_0,esk3_0),esk4_0)
    | leq(esk2_3(esk4_0,esk5_0,esk3_0),esk3_0)
    | leq(esk1_3(esk4_0,esk5_0,esk3_0),esk3_0)
    | ~ leq(esk1_3(esk4_0,esk5_0,esk3_0),esk4_0) ),
    inference(spm,[status(thm)],[c_0_35,c_0_51]) ).

cnf(c_0_55,negated_conjecture,
    ( leq(esk2_3(esk4_0,esk5_0,esk3_0),esk3_0)
    | leq(esk1_3(esk4_0,esk5_0,esk3_0),esk4_0) ),
    inference(spm,[status(thm)],[c_0_52,c_0_53]) ).

cnf(c_0_56,negated_conjecture,
    ( leq(esk1_3(esk4_0,esk5_0,esk3_0),esk3_0)
    | leq(esk2_3(esk4_0,esk5_0,esk3_0),esk3_0) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_54,c_0_55]),c_0_50]) ).

fof(c_0_57,plain,
    ! [X10,X11,X12] : addition(X12,addition(X11,X10)) = addition(addition(X12,X11),X10),
    inference(variable_rename,[status(thm)],[additive_associativity]) ).

cnf(c_0_58,negated_conjecture,
    ( ismeet(esk3_0,esk4_0,esk5_0)
    | leq(esk2_3(esk4_0,esk5_0,esk3_0),esk3_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_40,c_0_56]),c_0_22]),c_0_28])]) ).

cnf(c_0_59,plain,
    addition(X1,addition(X2,X3)) = addition(addition(X1,X2),X3),
    inference(split_conjunct,[status(thm)],[c_0_57]) ).

cnf(c_0_60,negated_conjecture,
    addition(esk3_0,esk5_0) = esk5_0,
    inference(spm,[status(thm)],[c_0_48,c_0_22]) ).

cnf(c_0_61,negated_conjecture,
    leq(esk2_3(esk4_0,esk5_0,esk3_0),esk3_0),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_58]),c_0_50]) ).

cnf(c_0_62,negated_conjecture,
    addition(esk3_0,addition(esk5_0,X1)) = addition(esk5_0,X1),
    inference(spm,[status(thm)],[c_0_59,c_0_60]) ).

cnf(c_0_63,negated_conjecture,
    addition(esk3_0,esk2_3(esk4_0,esk5_0,esk3_0)) = esk3_0,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_48,c_0_61]),c_0_47]) ).

cnf(c_0_64,negated_conjecture,
    addition(esk3_0,esk4_0) = esk4_0,
    inference(spm,[status(thm)],[c_0_48,c_0_28]) ).

cnf(c_0_65,negated_conjecture,
    addition(esk3_0,addition(X1,esk5_0)) = addition(X1,esk5_0),
    inference(spm,[status(thm)],[c_0_62,c_0_47]) ).

cnf(c_0_66,negated_conjecture,
    addition(esk3_0,addition(esk2_3(esk4_0,esk5_0,esk3_0),X1)) = addition(esk3_0,X1),
    inference(spm,[status(thm)],[c_0_59,c_0_63]) ).

cnf(c_0_67,negated_conjecture,
    addition(esk3_0,addition(esk4_0,X1)) = addition(esk4_0,X1),
    inference(spm,[status(thm)],[c_0_59,c_0_64]) ).

cnf(c_0_68,plain,
    ( ismeetu(X3,X1,X2)
    | ~ leq(esk2_3(X1,X2,X3),X1)
    | ~ leq(esk2_3(X1,X2,X3),X2)
    | ~ leq(esk2_3(X1,X2,X3),X3) ),
    inference(split_conjunct,[status(thm)],[c_0_8]) ).

cnf(c_0_69,negated_conjecture,
    addition(esk5_0,esk2_3(esk4_0,esk5_0,esk3_0)) = esk5_0,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_65,c_0_66]),c_0_60]),c_0_47]) ).

cnf(c_0_70,negated_conjecture,
    addition(esk3_0,addition(X1,esk4_0)) = addition(X1,esk4_0),
    inference(spm,[status(thm)],[c_0_67,c_0_47]) ).

cnf(c_0_71,negated_conjecture,
    ( ismeetu(esk3_0,esk4_0,esk5_0)
    | ~ leq(esk2_3(esk4_0,esk5_0,esk3_0),esk5_0)
    | ~ leq(esk2_3(esk4_0,esk5_0,esk3_0),esk4_0) ),
    inference(spm,[status(thm)],[c_0_68,c_0_61]) ).

cnf(c_0_72,negated_conjecture,
    leq(esk2_3(esk4_0,esk5_0,esk3_0),esk5_0),
    inference(spm,[status(thm)],[c_0_52,c_0_69]) ).

cnf(c_0_73,negated_conjecture,
    addition(esk4_0,esk2_3(esk4_0,esk5_0,esk3_0)) = esk4_0,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_70,c_0_66]),c_0_64]),c_0_47]) ).

cnf(c_0_74,negated_conjecture,
    ( ismeetu(esk3_0,esk4_0,esk5_0)
    | ~ leq(esk2_3(esk4_0,esk5_0,esk3_0),esk4_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_71,c_0_72])]) ).

cnf(c_0_75,negated_conjecture,
    leq(esk2_3(esk4_0,esk5_0,esk3_0),esk4_0),
    inference(spm,[status(thm)],[c_0_52,c_0_73]) ).

cnf(c_0_76,negated_conjecture,
    ismeetu(esk3_0,esk4_0,esk5_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_74,c_0_75])]) ).

cnf(c_0_77,negated_conjecture,
    ~ ismeet(esk3_0,esk4_0,esk5_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_25,c_0_76])]) ).

cnf(c_0_78,negated_conjecture,
    leq(esk1_3(esk4_0,esk5_0,esk3_0),esk5_0),
    inference(sr,[status(thm)],[c_0_33,c_0_77]) ).

cnf(c_0_79,negated_conjecture,
    leq(esk1_3(esk4_0,esk5_0,esk3_0),esk4_0),
    inference(sr,[status(thm)],[c_0_37,c_0_77]) ).

cnf(c_0_80,negated_conjecture,
    leq(esk1_3(esk4_0,esk5_0,esk3_0),esk3_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_78]),c_0_79])]) ).

cnf(c_0_81,negated_conjecture,
    $false,
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_40,c_0_80]),c_0_22]),c_0_28])]),c_0_77]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11  % Problem  : KLE029+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 : n005.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 11:49:55 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.17/0.44  # ENIGMATIC: Selected SinE mode:
% 0.17/0.44  # Parsing /export/starexec/sandbox2/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
% 7.68/2.39  # ENIGMATIC: Solved by autoschedule:
% 7.68/2.39  # No SInE strategy applied
% 7.68/2.39  # Trying AutoSched0 for 150 seconds
% 7.68/2.39  # AutoSched0-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PS_S006A
% 7.68/2.39  # and selection function SelectLargestNegLit.
% 7.68/2.39  #
% 7.68/2.39  # Preprocessing time       : 0.025 s
% 7.68/2.39  # Presaturation interreduction done
% 7.68/2.39  
% 7.68/2.39  # Proof found!
% 7.68/2.39  # SZS status Theorem
% 7.68/2.39  # SZS output start CNFRefutation
% See solution above
% 7.68/2.39  # Training examples: 0 positive, 0 negative
% 7.68/2.39  
% 7.68/2.39  # -------------------------------------------------
% 7.68/2.39  # User time                : 0.066 s
% 7.68/2.39  # System time              : 0.010 s
% 7.68/2.39  # Total time               : 0.076 s
% 7.68/2.39  # Maximum resident set size: 7116 pages
% 7.68/2.39  
%------------------------------------------------------------------------------