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E---3.5.1.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : E---3.5.1
% Problem  : LCL602^1 : TPTP v9.3.1. Released v3.6.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM

% Computer : n015.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8046.5625MB
% OS       : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Wed Sep 30 08:11:59 AM UTC 2026

% Result   : Theorem 0.91s 0.42s
% Output   : CNFRefutation 0.91s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   42
%            Number of leaves      :    8
% Syntax   : Number of formulae    :  138 (  26 unt;   0 typ;   0 def)
%            Number of atoms       :  638 (  15 equ;   0 cnn)
%            Maximal formula atoms :  142 (   4 avg)
%            Number of connectives : 2067 ( 307   ~; 479   |;  40   &;1229   @)
%                                         (   3 <=>;   9  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   51 (   7 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   62 (  62   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   21 (  19 usr;   9 con; 0-3 aty)
%            Number of variables   :  241 (  30   ^; 211   !;   0   ?; 241   :)

% Comments : 
%------------------------------------------------------------------------------
thf(decl_29,type,
    mnot: ( $i > $o ) > $i > $o ).

thf(decl_30,type,
    mor: ( $i > $o ) > ( $i > $o ) > $i > $o ).

thf(decl_32,type,
    mimpl: ( $i > $o ) > ( $i > $o ) > $i > $o ).

thf(decl_34,type,
    mbox: ( $i > $i > $o ) > ( $i > $o ) > $i > $o ).

thf(decl_38,type,
    mvalid: ( $i > $o ) > $o ).

thf(decl_50,type,
    reflexive: ( $i > $i > $o ) > $o ).

thf(decl_53,type,
    transitive: ( $i > $i > $o ) > $o ).

thf(decl_63,type,
    epred1_0: $i > $i > $o ).

thf(decl_64,type,
    epred2_0: $i > $o ).

thf(decl_65,type,
    esk1_0: $i ).

thf(decl_66,type,
    esk2_0: $i ).

thf(decl_67,type,
    esk3_0: $i ).

thf(decl_68,type,
    esk4_0: $i ).

thf(decl_69,type,
    esk5_0: $i ).

thf(decl_70,type,
    esk6_0: $i ).

thf(decl_71,type,
    esk7_0: $i ).

thf(decl_72,type,
    esk8_0: $i ).

thf(decl_73,type,
    esk9_2: ( $i > $o ) > $i > $i ).

thf(decl_74,type,
    esk10_2: ( $i > $o ) > $i > $i ).

thf(mimpl,axiom,
    ( mimpl
    = ( ^ [X7: $i > $o,X8: $i > $o] : ( mor @ ( mnot @ X7 ) @ X8 ) ) ),
    file('/export/starexec/sandbox/tmp/tmp.f5iKNM0HdT/E---3.1_3282187.p',mimpl) ).

thf(mnot,axiom,
    ( mnot
    = ( ^ [X2: $i > $o,X3: $i] :
          ~ ( X2 @ X3 ) ) ),
    file('/export/starexec/sandbox/tmp/tmp.f5iKNM0HdT/E---3.1_3282187.p',mnot) ).

thf(mor,axiom,
    ( mor
    = ( ^ [X4: $i > $o,X5: $i > $o,X3: $i] :
          ( ( X4 @ X3 )
          | ( X5 @ X3 ) ) ) ),
    file('/export/starexec/sandbox/tmp/tmp.f5iKNM0HdT/E---3.1_3282187.p',mor) ).

thf(thm,conjecture,
    ! [X10: $i > $i > $o] :
      ( ! [X28: $i > $o] :
          ( ( mvalid @ ( mimpl @ ( mbox @ X10 @ X28 ) @ ( mbox @ X10 @ ( mbox @ X10 @ X28 ) ) ) )
          & ( mvalid @ ( mimpl @ ( mbox @ X10 @ X28 ) @ X28 ) ) )
    <=> ( ( reflexive @ X10 )
        & ( transitive @ X10 ) ) ),
    file('/export/starexec/sandbox/tmp/tmp.f5iKNM0HdT/E---3.1_3282187.p',thm) ).

thf(mbox,axiom,
    ( mbox
    = ( ^ [X10: $i > $i > $o,X11: $i > $o,X1: $i] :
        ! [X12: $i] :
          ( ( X10 @ X1 @ X12 )
         => ( X11 @ X12 ) ) ) ),
    file('/export/starexec/sandbox/tmp/tmp.f5iKNM0HdT/E---3.1_3282187.p',mbox) ).

thf(mvalid,axiom,
    ( mvalid
    = ( ^ [X11: $i > $o] :
        ! [X15: $i] : ( X11 @ X15 ) ) ),
    file('/export/starexec/sandbox/tmp/tmp.f5iKNM0HdT/E---3.1_3282187.p',mvalid) ).

thf(reflexive,axiom,
    ( reflexive
    = ( ^ [X10: $i > $i > $o] :
        ! [X1: $i] : ( X10 @ X1 @ X1 ) ) ),
    file('/export/starexec/sandbox/tmp/tmp.f5iKNM0HdT/E---3.1_3282187.p',reflexive) ).

thf(transitive,axiom,
    ( transitive
    = ( ^ [X10: $i > $i > $o] :
        ! [X1: $i,X36: $i,X33: $i] :
          ( ( ( X10 @ X1 @ X36 )
            & ( X10 @ X36 @ X33 ) )
         => ( X10 @ X1 @ X33 ) ) ) ),
    file('/export/starexec/sandbox/tmp/tmp.f5iKNM0HdT/E---3.1_3282187.p',transitive) ).

thf(c_0_8,plain,
    ( mimpl
    = ( ^ [Z0: $i > $o,Z1: $i > $o,Z2: $i] :
          ( ~ ( Z0 @ Z2 )
          | ( Z1 @ Z2 ) ) ) ),
    inference(fof_simplification,[status(thm)],[mimpl]) ).

thf(c_0_9,plain,
    ( mnot
    = ( ^ [Z0: $i > $o,Z1: $i] :
          ~ ( Z0 @ Z1 ) ) ),
    inference(fof_simplification,[status(thm)],[mnot]) ).

thf(c_0_10,plain,
    ( mor
    = ( ^ [Z0: $i > $o,Z1: $i > $o,Z2: $i] :
          ( ( Z0 @ Z2 )
          | ( Z1 @ Z2 ) ) ) ),
    inference(fof_simplification,[status(thm)],[mor]) ).

thf(c_0_11,negated_conjecture,
    ~ ! [X10: $i > $i > $o] :
        ( ! [X28: $i > $o] :
            ( ( mvalid @ ( mimpl @ ( mbox @ X10 @ X28 ) @ ( mbox @ X10 @ ( mbox @ X10 @ X28 ) ) ) )
            & ( mvalid @ ( mimpl @ ( mbox @ X10 @ X28 ) @ X28 ) ) )
      <=> ( ( reflexive @ X10 )
          & ( transitive @ X10 ) ) ),
    inference(assume_negation,[status(cth)],[thm]) ).

thf(c_0_12,plain,
    ( mimpl
    = ( ^ [Z0: $i > $o,Z1: $i > $o,Z2: $i] :
          ( ~ ( Z0 @ Z2 )
          | ( Z1 @ Z2 ) ) ) ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_8,c_0_9]),c_0_10]) ).

thf(c_0_13,plain,
    ( mbox
    = ( ^ [Z0: $i > $i > $o,Z1: $i > $o,Z2: $i] :
        ! [X12: $i] :
          ( ( Z0 @ Z2 @ X12 )
         => ( Z1 @ X12 ) ) ) ),
    inference(fof_simplification,[status(thm)],[mbox]) ).

thf(c_0_14,plain,
    ( mvalid
    = ( ^ [Z0: $i > $o] :
        ! [X15: $i] : ( Z0 @ X15 ) ) ),
    inference(fof_simplification,[status(thm)],[mvalid]) ).

thf(c_0_15,plain,
    ( reflexive
    = ( ^ [Z0: $i > $i > $o] :
        ! [X1: $i] : ( Z0 @ X1 @ X1 ) ) ),
    inference(fof_simplification,[status(thm)],[reflexive]) ).

thf(c_0_16,plain,
    ( transitive
    = ( ^ [Z0: $i > $i > $o] :
        ! [X1: $i,X36: $i,X33: $i] :
          ( ( ( Z0 @ X1 @ X36 )
            & ( Z0 @ X36 @ X33 ) )
         => ( Z0 @ X1 @ X33 ) ) ) ),
    inference(fof_simplification,[status(thm)],[transitive]) ).

thf(c_0_17,negated_conjecture,
    ~ ! [X10: $i > $i > $o] :
        ( ! [X28: $i > $o] :
            ( ! [X60: $i] :
                ( ~ ! [X57: $i] :
                      ( ( X10 @ X60 @ X57 )
                     => ( X28 @ X57 ) )
                | ! [X59: $i] :
                    ( ( X10 @ X60 @ X59 )
                   => ! [X58: $i] :
                        ( ( X10 @ X59 @ X58 )
                       => ( X28 @ X58 ) ) ) )
            & ! [X62: $i] :
                ( ~ ! [X61: $i] :
                      ( ( X10 @ X62 @ X61 )
                     => ( X28 @ X61 ) )
                | ( X28 @ X62 ) ) )
      <=> ( ! [X63: $i] : ( X10 @ X63 @ X63 )
          & ! [X64: $i,X65: $i,X66: $i] :
              ( ( ( X10 @ X64 @ X65 )
                & ( X10 @ X65 @ X66 ) )
             => ( X10 @ X64 @ X66 ) ) ) ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_11,c_0_12]),c_0_13]),c_0_14]),c_0_15]),c_0_16]) ).

thf(c_0_18,negated_conjecture,
    ! [X70: $i,X74: $i,X79: $i > $o,X80: $i,X82: $i,X83: $i,X84: $i,X86: $i,X87: $i,X88: $i,X89: $i] :
      ( ( ( epred1_0 @ esk6_0 @ esk7_0 )
        | ~ ( epred1_0 @ esk5_0 @ esk5_0 )
        | ~ ( epred1_0 @ esk4_0 @ X74 )
        | ( epred2_0 @ X74 )
        | ~ ( epred1_0 @ esk1_0 @ X70 )
        | ( epred2_0 @ X70 ) )
      & ( ( epred1_0 @ esk7_0 @ esk8_0 )
        | ~ ( epred1_0 @ esk5_0 @ esk5_0 )
        | ~ ( epred1_0 @ esk4_0 @ X74 )
        | ( epred2_0 @ X74 )
        | ~ ( epred1_0 @ esk1_0 @ X70 )
        | ( epred2_0 @ X70 ) )
      & ( ~ ( epred1_0 @ esk6_0 @ esk8_0 )
        | ~ ( epred1_0 @ esk5_0 @ esk5_0 )
        | ~ ( epred1_0 @ esk4_0 @ X74 )
        | ( epred2_0 @ X74 )
        | ~ ( epred1_0 @ esk1_0 @ X70 )
        | ( epred2_0 @ X70 ) )
      & ( ( epred1_0 @ esk6_0 @ esk7_0 )
        | ~ ( epred1_0 @ esk5_0 @ esk5_0 )
        | ~ ( epred2_0 @ esk4_0 )
        | ~ ( epred1_0 @ esk1_0 @ X70 )
        | ( epred2_0 @ X70 ) )
      & ( ( epred1_0 @ esk7_0 @ esk8_0 )
        | ~ ( epred1_0 @ esk5_0 @ esk5_0 )
        | ~ ( epred2_0 @ esk4_0 )
        | ~ ( epred1_0 @ esk1_0 @ X70 )
        | ( epred2_0 @ X70 ) )
      & ( ~ ( epred1_0 @ esk6_0 @ esk8_0 )
        | ~ ( epred1_0 @ esk5_0 @ esk5_0 )
        | ~ ( epred2_0 @ esk4_0 )
        | ~ ( epred1_0 @ esk1_0 @ X70 )
        | ( epred2_0 @ X70 ) )
      & ( ( epred1_0 @ esk6_0 @ esk7_0 )
        | ~ ( epred1_0 @ esk5_0 @ esk5_0 )
        | ~ ( epred1_0 @ esk4_0 @ X74 )
        | ( epred2_0 @ X74 )
        | ( epred1_0 @ esk1_0 @ esk2_0 ) )
      & ( ( epred1_0 @ esk7_0 @ esk8_0 )
        | ~ ( epred1_0 @ esk5_0 @ esk5_0 )
        | ~ ( epred1_0 @ esk4_0 @ X74 )
        | ( epred2_0 @ X74 )
        | ( epred1_0 @ esk1_0 @ esk2_0 ) )
      & ( ~ ( epred1_0 @ esk6_0 @ esk8_0 )
        | ~ ( epred1_0 @ esk5_0 @ esk5_0 )
        | ~ ( epred1_0 @ esk4_0 @ X74 )
        | ( epred2_0 @ X74 )
        | ( epred1_0 @ esk1_0 @ esk2_0 ) )
      & ( ( epred1_0 @ esk6_0 @ esk7_0 )
        | ~ ( epred1_0 @ esk5_0 @ esk5_0 )
        | ~ ( epred2_0 @ esk4_0 )
        | ( epred1_0 @ esk1_0 @ esk2_0 ) )
      & ( ( epred1_0 @ esk7_0 @ esk8_0 )
        | ~ ( epred1_0 @ esk5_0 @ esk5_0 )
        | ~ ( epred2_0 @ esk4_0 )
        | ( epred1_0 @ esk1_0 @ esk2_0 ) )
      & ( ~ ( epred1_0 @ esk6_0 @ esk8_0 )
        | ~ ( epred1_0 @ esk5_0 @ esk5_0 )
        | ~ ( epred2_0 @ esk4_0 )
        | ( epred1_0 @ esk1_0 @ esk2_0 ) )
      & ( ( epred1_0 @ esk6_0 @ esk7_0 )
        | ~ ( epred1_0 @ esk5_0 @ esk5_0 )
        | ~ ( epred1_0 @ esk4_0 @ X74 )
        | ( epred2_0 @ X74 )
        | ( epred1_0 @ esk2_0 @ esk3_0 ) )
      & ( ( epred1_0 @ esk7_0 @ esk8_0 )
        | ~ ( epred1_0 @ esk5_0 @ esk5_0 )
        | ~ ( epred1_0 @ esk4_0 @ X74 )
        | ( epred2_0 @ X74 )
        | ( epred1_0 @ esk2_0 @ esk3_0 ) )
      & ( ~ ( epred1_0 @ esk6_0 @ esk8_0 )
        | ~ ( epred1_0 @ esk5_0 @ esk5_0 )
        | ~ ( epred1_0 @ esk4_0 @ X74 )
        | ( epred2_0 @ X74 )
        | ( epred1_0 @ esk2_0 @ esk3_0 ) )
      & ( ( epred1_0 @ esk6_0 @ esk7_0 )
        | ~ ( epred1_0 @ esk5_0 @ esk5_0 )
        | ~ ( epred2_0 @ esk4_0 )
        | ( epred1_0 @ esk2_0 @ esk3_0 ) )
      & ( ( epred1_0 @ esk7_0 @ esk8_0 )
        | ~ ( epred1_0 @ esk5_0 @ esk5_0 )
        | ~ ( epred2_0 @ esk4_0 )
        | ( epred1_0 @ esk2_0 @ esk3_0 ) )
      & ( ~ ( epred1_0 @ esk6_0 @ esk8_0 )
        | ~ ( epred1_0 @ esk5_0 @ esk5_0 )
        | ~ ( epred2_0 @ esk4_0 )
        | ( epred1_0 @ esk2_0 @ esk3_0 ) )
      & ( ( epred1_0 @ esk6_0 @ esk7_0 )
        | ~ ( epred1_0 @ esk5_0 @ esk5_0 )
        | ~ ( epred1_0 @ esk4_0 @ X74 )
        | ( epred2_0 @ X74 )
        | ~ ( epred2_0 @ esk3_0 ) )
      & ( ( epred1_0 @ esk7_0 @ esk8_0 )
        | ~ ( epred1_0 @ esk5_0 @ esk5_0 )
        | ~ ( epred1_0 @ esk4_0 @ X74 )
        | ( epred2_0 @ X74 )
        | ~ ( epred2_0 @ esk3_0 ) )
      & ( ~ ( epred1_0 @ esk6_0 @ esk8_0 )
        | ~ ( epred1_0 @ esk5_0 @ esk5_0 )
        | ~ ( epred1_0 @ esk4_0 @ X74 )
        | ( epred2_0 @ X74 )
        | ~ ( epred2_0 @ esk3_0 ) )
      & ( ( epred1_0 @ esk6_0 @ esk7_0 )
        | ~ ( epred1_0 @ esk5_0 @ esk5_0 )
        | ~ ( epred2_0 @ esk4_0 )
        | ~ ( epred2_0 @ esk3_0 ) )
      & ( ( epred1_0 @ esk7_0 @ esk8_0 )
        | ~ ( epred1_0 @ esk5_0 @ esk5_0 )
        | ~ ( epred2_0 @ esk4_0 )
        | ~ ( epred2_0 @ esk3_0 ) )
      & ( ~ ( epred1_0 @ esk6_0 @ esk8_0 )
        | ~ ( epred1_0 @ esk5_0 @ esk5_0 )
        | ~ ( epred2_0 @ esk4_0 )
        | ~ ( epred2_0 @ esk3_0 ) )
      & ( ( epred1_0 @ X86 @ X86 )
        | ( epred1_0 @ X80 @ ( esk9_2 @ X79 @ X80 ) )
        | ~ ( epred1_0 @ X80 @ X82 )
        | ~ ( epred1_0 @ X82 @ X83 )
        | ( X79 @ X83 ) )
      & ( ~ ( epred1_0 @ X87 @ X88 )
        | ~ ( epred1_0 @ X88 @ X89 )
        | ( epred1_0 @ X87 @ X89 )
        | ( epred1_0 @ X80 @ ( esk9_2 @ X79 @ X80 ) )
        | ~ ( epred1_0 @ X80 @ X82 )
        | ~ ( epred1_0 @ X82 @ X83 )
        | ( X79 @ X83 ) )
      & ( ( epred1_0 @ X86 @ X86 )
        | ~ ( X79 @ ( esk9_2 @ X79 @ X80 ) )
        | ~ ( epred1_0 @ X80 @ X82 )
        | ~ ( epred1_0 @ X82 @ X83 )
        | ( X79 @ X83 ) )
      & ( ~ ( epred1_0 @ X87 @ X88 )
        | ~ ( epred1_0 @ X88 @ X89 )
        | ( epred1_0 @ X87 @ X89 )
        | ~ ( X79 @ ( esk9_2 @ X79 @ X80 ) )
        | ~ ( epred1_0 @ X80 @ X82 )
        | ~ ( epred1_0 @ X82 @ X83 )
        | ( X79 @ X83 ) )
      & ( ( epred1_0 @ X86 @ X86 )
        | ( epred1_0 @ X84 @ ( esk10_2 @ X79 @ X84 ) )
        | ( X79 @ X84 ) )
      & ( ~ ( epred1_0 @ X87 @ X88 )
        | ~ ( epred1_0 @ X88 @ X89 )
        | ( epred1_0 @ X87 @ X89 )
        | ( epred1_0 @ X84 @ ( esk10_2 @ X79 @ X84 ) )
        | ( X79 @ X84 ) )
      & ( ( epred1_0 @ X86 @ X86 )
        | ~ ( X79 @ ( esk10_2 @ X79 @ X84 ) )
        | ( X79 @ X84 ) )
      & ( ~ ( epred1_0 @ X87 @ X88 )
        | ~ ( epred1_0 @ X88 @ X89 )
        | ( epred1_0 @ X87 @ X89 )
        | ~ ( X79 @ ( esk10_2 @ X79 @ X84 ) )
        | ( X79 @ X84 ) ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_17])])])])])]) ).

thf(c_0_19,negated_conjecture,
    ! [X1: $i,X2: $i > $o,X3: $i] :
      ( ( epred1_0 @ X1 @ X1 )
      | ( X2 @ X3 )
      | ~ ( X2 @ ( esk10_2 @ X2 @ X3 ) ) ),
    inference(split_conjunct,[status(thm)],[c_0_18]) ).

thf(c_0_20,negated_conjecture,
    ! [X1: $i,X2: $i > $o,X3: $i] :
      ( ( epred1_0 @ X1 @ X1 )
      | ( epred1_0 @ X3 @ ( esk10_2 @ X2 @ X3 ) )
      | ( X2 @ X3 ) ),
    inference(split_conjunct,[status(thm)],[c_0_18]) ).

thf(c_0_21,negated_conjecture,
    ! [X1: $i,X3: $i,X12: $i] :
      ( ( epred1_0 @ X1 @ X1 )
      | ( epred1_0 @ X3 @ X3 )
      | ( epred1_0 @ X12 @ X12 ) ),
    inference(spm,[status(thm)],[c_0_19,c_0_20]) ).

thf(c_0_22,negated_conjecture,
    ! [X1: $i,X3: $i] :
      ( ( epred1_0 @ X1 @ X1 )
      | ( epred1_0 @ X3 @ X3 ) ),
    inference(ef,[status(thm)],[c_0_21]) ).

thf(c_0_23,negated_conjecture,
    ! [X1: $i] :
      ( ( epred1_0 @ esk7_0 @ esk8_0 )
      | ( epred2_0 @ X1 )
      | ( epred1_0 @ esk2_0 @ esk3_0 )
      | ~ ( epred1_0 @ esk5_0 @ esk5_0 )
      | ~ ( epred1_0 @ esk4_0 @ X1 ) ),
    inference(split_conjunct,[status(thm)],[c_0_18]) ).

thf(c_0_24,negated_conjecture,
    ! [X1: $i] : ( epred1_0 @ X1 @ X1 ),
    inference(ef,[status(thm)],[c_0_22]) ).

thf(c_0_25,negated_conjecture,
    ( ( epred1_0 @ esk7_0 @ esk8_0 )
    | ( epred1_0 @ esk2_0 @ esk3_0 )
    | ~ ( epred1_0 @ esk5_0 @ esk5_0 )
    | ~ ( epred2_0 @ esk4_0 ) ),
    inference(split_conjunct,[status(thm)],[c_0_18]) ).

thf(c_0_26,negated_conjecture,
    ! [X1: $i] :
      ( ( epred1_0 @ esk7_0 @ esk8_0 )
      | ( epred1_0 @ esk2_0 @ esk3_0 )
      | ( epred2_0 @ X1 )
      | ~ ( epred1_0 @ esk4_0 @ X1 ) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_23,c_0_24])]) ).

thf(c_0_27,negated_conjecture,
    ( ( epred1_0 @ esk7_0 @ esk8_0 )
    | ( epred1_0 @ esk2_0 @ esk3_0 )
    | ~ ( epred2_0 @ esk4_0 ) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_25,c_0_24])]) ).

thf(c_0_28,negated_conjecture,
    ! [X2: $i > $o,X1: $i,X3: $i,X15: $i,X13: $i,X12: $i,X20: $i] :
      ( ( epred1_0 @ X1 @ X12 )
      | ( epred1_0 @ X13 @ ( esk9_2 @ X2 @ X13 ) )
      | ( X2 @ X20 )
      | ~ ( epred1_0 @ X1 @ X3 )
      | ~ ( epred1_0 @ X3 @ X12 )
      | ~ ( epred1_0 @ X13 @ X15 )
      | ~ ( epred1_0 @ X15 @ X20 ) ),
    inference(split_conjunct,[status(thm)],[c_0_18]) ).

thf(c_0_29,negated_conjecture,
    ( ( epred1_0 @ esk2_0 @ esk3_0 )
    | ( epred1_0 @ esk7_0 @ esk8_0 ) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_26,c_0_24]),c_0_27]) ).

thf(c_0_30,negated_conjecture,
    ! [X1: $i] :
      ( ( epred1_0 @ esk7_0 @ esk8_0 )
      | ( epred2_0 @ X1 )
      | ( epred1_0 @ esk1_0 @ esk2_0 )
      | ~ ( epred1_0 @ esk5_0 @ esk5_0 )
      | ~ ( epred1_0 @ esk4_0 @ X1 ) ),
    inference(split_conjunct,[status(thm)],[c_0_18]) ).

thf(c_0_31,negated_conjecture,
    ( ( epred1_0 @ esk7_0 @ esk8_0 )
    | ( epred1_0 @ esk1_0 @ esk2_0 )
    | ~ ( epred1_0 @ esk5_0 @ esk5_0 )
    | ~ ( epred2_0 @ esk4_0 ) ),
    inference(split_conjunct,[status(thm)],[c_0_18]) ).

thf(c_0_32,negated_conjecture,
    ! [X1: $i] :
      ( ( epred1_0 @ esk6_0 @ esk7_0 )
      | ( epred2_0 @ X1 )
      | ( epred1_0 @ esk2_0 @ esk3_0 )
      | ~ ( epred1_0 @ esk5_0 @ esk5_0 )
      | ~ ( epred1_0 @ esk4_0 @ X1 ) ),
    inference(split_conjunct,[status(thm)],[c_0_18]) ).

thf(c_0_33,negated_conjecture,
    ( ( epred1_0 @ esk6_0 @ esk7_0 )
    | ( epred1_0 @ esk2_0 @ esk3_0 )
    | ~ ( epred1_0 @ esk5_0 @ esk5_0 )
    | ~ ( epred2_0 @ esk4_0 ) ),
    inference(split_conjunct,[status(thm)],[c_0_18]) ).

thf(c_0_34,negated_conjecture,
    ! [X1: $i,X2: $i > $o,X3: $i,X12: $i,X13: $i] :
      ( ( epred1_0 @ X1 @ ( esk9_2 @ X2 @ X1 ) )
      | ( epred1_0 @ esk7_0 @ esk8_0 )
      | ( epred1_0 @ X3 @ X12 )
      | ( X2 @ esk3_0 )
      | ~ ( epred1_0 @ X1 @ esk2_0 )
      | ~ ( epred1_0 @ X13 @ X12 )
      | ~ ( epred1_0 @ X3 @ X13 ) ),
    inference(spm,[status(thm)],[c_0_28,c_0_29]) ).

thf(c_0_35,negated_conjecture,
    ! [X1: $i] :
      ( ( epred1_0 @ esk7_0 @ esk8_0 )
      | ( epred1_0 @ esk1_0 @ esk2_0 )
      | ( epred2_0 @ X1 )
      | ~ ( epred1_0 @ esk4_0 @ X1 ) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_30,c_0_24])]) ).

thf(c_0_36,negated_conjecture,
    ( ( epred1_0 @ esk7_0 @ esk8_0 )
    | ( epred1_0 @ esk1_0 @ esk2_0 )
    | ~ ( epred2_0 @ esk4_0 ) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_31,c_0_24])]) ).

thf(c_0_37,negated_conjecture,
    ! [X1: $i] :
      ( ( epred1_0 @ esk6_0 @ esk7_0 )
      | ( epred1_0 @ esk2_0 @ esk3_0 )
      | ( epred2_0 @ X1 )
      | ~ ( epred1_0 @ esk4_0 @ X1 ) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_32,c_0_24])]) ).

thf(c_0_38,negated_conjecture,
    ( ( epred1_0 @ esk6_0 @ esk7_0 )
    | ( epred1_0 @ esk2_0 @ esk3_0 )
    | ~ ( epred2_0 @ esk4_0 ) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_33,c_0_24])]) ).

thf(c_0_39,negated_conjecture,
    ! [X1: $i,X2: $i > $o,X3: $i] :
      ( ( epred1_0 @ X1 @ ( esk9_2 @ X2 @ X1 ) )
      | ( epred1_0 @ esk7_0 @ esk8_0 )
      | ( epred1_0 @ X3 @ esk3_0 )
      | ( X2 @ esk3_0 )
      | ~ ( epred1_0 @ X1 @ esk2_0 )
      | ~ ( epred1_0 @ X3 @ esk2_0 ) ),
    inference(spm,[status(thm)],[c_0_34,c_0_29]) ).

thf(c_0_40,negated_conjecture,
    ( ( epred1_0 @ esk1_0 @ esk2_0 )
    | ( epred1_0 @ esk7_0 @ esk8_0 ) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_24]),c_0_36]) ).

thf(c_0_41,negated_conjecture,
    ( ( epred1_0 @ esk2_0 @ esk3_0 )
    | ( epred1_0 @ esk6_0 @ esk7_0 ) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_24]),c_0_38]) ).

thf(c_0_42,negated_conjecture,
    ! [X1: $i] :
      ( ( epred1_0 @ esk6_0 @ esk7_0 )
      | ( epred2_0 @ X1 )
      | ( epred1_0 @ esk1_0 @ esk2_0 )
      | ~ ( epred1_0 @ esk5_0 @ esk5_0 )
      | ~ ( epred1_0 @ esk4_0 @ X1 ) ),
    inference(split_conjunct,[status(thm)],[c_0_18]) ).

thf(c_0_43,negated_conjecture,
    ( ( epred1_0 @ esk6_0 @ esk7_0 )
    | ( epred1_0 @ esk1_0 @ esk2_0 )
    | ~ ( epred1_0 @ esk5_0 @ esk5_0 )
    | ~ ( epred2_0 @ esk4_0 ) ),
    inference(split_conjunct,[status(thm)],[c_0_18]) ).

thf(c_0_44,negated_conjecture,
    ! [X2: $i > $o,X1: $i] :
      ( ( epred1_0 @ esk1_0 @ ( esk9_2 @ X2 @ esk1_0 ) )
      | ( epred1_0 @ esk7_0 @ esk8_0 )
      | ( epred1_0 @ X1 @ esk3_0 )
      | ( X2 @ esk3_0 )
      | ~ ( epred1_0 @ X1 @ esk2_0 ) ),
    inference(spm,[status(thm)],[c_0_39,c_0_40]) ).

thf(c_0_45,negated_conjecture,
    ! [X1: $i,X2: $i > $o,X3: $i,X12: $i,X13: $i] :
      ( ( epred1_0 @ X1 @ ( esk9_2 @ X2 @ X1 ) )
      | ( epred1_0 @ esk6_0 @ esk7_0 )
      | ( epred1_0 @ X3 @ X12 )
      | ( X2 @ esk3_0 )
      | ~ ( epred1_0 @ X1 @ esk2_0 )
      | ~ ( epred1_0 @ X13 @ X12 )
      | ~ ( epred1_0 @ X3 @ X13 ) ),
    inference(spm,[status(thm)],[c_0_28,c_0_41]) ).

thf(c_0_46,negated_conjecture,
    ! [X1: $i] :
      ( ( epred1_0 @ esk6_0 @ esk7_0 )
      | ( epred1_0 @ esk1_0 @ esk2_0 )
      | ( epred2_0 @ X1 )
      | ~ ( epred1_0 @ esk4_0 @ X1 ) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_42,c_0_24])]) ).

thf(c_0_47,negated_conjecture,
    ( ( epred1_0 @ esk6_0 @ esk7_0 )
    | ( epred1_0 @ esk1_0 @ esk2_0 )
    | ~ ( epred2_0 @ esk4_0 ) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_43,c_0_24])]) ).

thf(c_0_48,negated_conjecture,
    ! [X1: $i,X2: $i > $o,X3: $i,X15: $i,X13: $i,X12: $i,X20: $i] :
      ( ( epred1_0 @ X1 @ X12 )
      | ( X2 @ X20 )
      | ~ ( epred1_0 @ X1 @ X3 )
      | ~ ( epred1_0 @ X3 @ X12 )
      | ~ ( X2 @ ( esk9_2 @ X2 @ X13 ) )
      | ~ ( epred1_0 @ X13 @ X15 )
      | ~ ( epred1_0 @ X15 @ X20 ) ),
    inference(split_conjunct,[status(thm)],[c_0_18]) ).

thf(c_0_49,negated_conjecture,
    ! [X2: $i > $o] :
      ( ( epred1_0 @ esk1_0 @ ( esk9_2 @ X2 @ esk1_0 ) )
      | ( epred1_0 @ esk1_0 @ esk3_0 )
      | ( epred1_0 @ esk7_0 @ esk8_0 )
      | ( X2 @ esk3_0 ) ),
    inference(spm,[status(thm)],[c_0_44,c_0_40]) ).

thf(c_0_50,negated_conjecture,
    ! [X1: $i,X2: $i > $o,X3: $i] :
      ( ( epred1_0 @ X1 @ ( esk9_2 @ X2 @ X1 ) )
      | ( epred1_0 @ esk6_0 @ esk7_0 )
      | ( epred1_0 @ X3 @ esk3_0 )
      | ( X2 @ esk3_0 )
      | ~ ( epred1_0 @ X1 @ esk2_0 )
      | ~ ( epred1_0 @ X3 @ esk2_0 ) ),
    inference(spm,[status(thm)],[c_0_45,c_0_41]) ).

thf(c_0_51,negated_conjecture,
    ( ( epred1_0 @ esk1_0 @ esk2_0 )
    | ( epred1_0 @ esk6_0 @ esk7_0 ) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_46,c_0_24]),c_0_47]) ).

thf(c_0_52,negated_conjecture,
    ! [X1: $i,X3: $i,X13: $i,X12: $i,X15: $i] :
      ( ( epred1_0 @ esk7_0 @ esk8_0 )
      | ( epred1_0 @ esk1_0 @ esk3_0 )
      | ( epred1_0 @ esk1_0 @ X1 )
      | ( epred1_0 @ X3 @ X12 )
      | ~ ( epred1_0 @ esk1_0 @ X13 )
      | ~ ( epred1_0 @ X13 @ X1 )
      | ~ ( epred1_0 @ X15 @ X12 )
      | ~ ( epred1_0 @ X3 @ X15 ) ),
    inference(spm,[status(thm)],[c_0_48,c_0_49]) ).

thf(c_0_53,negated_conjecture,
    ! [X2: $i > $o,X1: $i] :
      ( ( epred1_0 @ esk1_0 @ ( esk9_2 @ X2 @ esk1_0 ) )
      | ( epred1_0 @ esk6_0 @ esk7_0 )
      | ( epred1_0 @ X1 @ esk3_0 )
      | ( X2 @ esk3_0 )
      | ~ ( epred1_0 @ X1 @ esk2_0 ) ),
    inference(spm,[status(thm)],[c_0_50,c_0_51]) ).

thf(c_0_54,negated_conjecture,
    ! [X1: $i,X3: $i,X12: $i,X13: $i] :
      ( ( epred1_0 @ esk1_0 @ esk3_0 )
      | ( epred1_0 @ esk7_0 @ esk8_0 )
      | ( epred1_0 @ esk1_0 @ X1 )
      | ( epred1_0 @ X3 @ X12 )
      | ~ ( epred1_0 @ esk2_0 @ X1 )
      | ~ ( epred1_0 @ X13 @ X12 )
      | ~ ( epred1_0 @ X3 @ X13 ) ),
    inference(spm,[status(thm)],[c_0_52,c_0_40]) ).

thf(c_0_55,negated_conjecture,
    ! [X2: $i > $o] :
      ( ( epred1_0 @ esk1_0 @ ( esk9_2 @ X2 @ esk1_0 ) )
      | ( epred1_0 @ esk1_0 @ esk3_0 )
      | ( epred1_0 @ esk6_0 @ esk7_0 )
      | ( X2 @ esk3_0 ) ),
    inference(spm,[status(thm)],[c_0_53,c_0_51]) ).

thf(c_0_56,negated_conjecture,
    ! [X1: $i,X3: $i,X12: $i] :
      ( ( epred1_0 @ esk7_0 @ esk8_0 )
      | ( epred1_0 @ esk1_0 @ esk3_0 )
      | ( epred1_0 @ X1 @ X3 )
      | ~ ( epred1_0 @ X12 @ X3 )
      | ~ ( epred1_0 @ X1 @ X12 ) ),
    inference(spm,[status(thm)],[c_0_54,c_0_29]) ).

thf(c_0_57,negated_conjecture,
    ! [X1: $i] :
      ( ( epred1_0 @ esk7_0 @ esk8_0 )
      | ( epred2_0 @ X1 )
      | ~ ( epred1_0 @ esk5_0 @ esk5_0 )
      | ~ ( epred1_0 @ esk4_0 @ X1 )
      | ~ ( epred2_0 @ esk3_0 ) ),
    inference(split_conjunct,[status(thm)],[c_0_18]) ).

thf(c_0_58,negated_conjecture,
    ( ( epred1_0 @ esk7_0 @ esk8_0 )
    | ~ ( epred1_0 @ esk5_0 @ esk5_0 )
    | ~ ( epred2_0 @ esk4_0 )
    | ~ ( epred2_0 @ esk3_0 ) ),
    inference(split_conjunct,[status(thm)],[c_0_18]) ).

thf(c_0_59,negated_conjecture,
    ! [X1: $i,X3: $i,X13: $i,X12: $i,X15: $i] :
      ( ( epred1_0 @ esk6_0 @ esk7_0 )
      | ( epred1_0 @ esk1_0 @ esk3_0 )
      | ( epred1_0 @ esk1_0 @ X1 )
      | ( epred1_0 @ X3 @ X12 )
      | ~ ( epred1_0 @ esk1_0 @ X13 )
      | ~ ( epred1_0 @ X13 @ X1 )
      | ~ ( epred1_0 @ X15 @ X12 )
      | ~ ( epred1_0 @ X3 @ X15 ) ),
    inference(spm,[status(thm)],[c_0_48,c_0_55]) ).

thf(c_0_60,negated_conjecture,
    ! [X1: $i,X3: $i] :
      ( ( epred1_0 @ esk7_0 @ esk8_0 )
      | ( epred2_0 @ X1 )
      | ( epred2_0 @ X3 )
      | ~ ( epred1_0 @ esk5_0 @ esk5_0 )
      | ~ ( epred1_0 @ esk4_0 @ X1 )
      | ~ ( epred1_0 @ esk1_0 @ X3 ) ),
    inference(split_conjunct,[status(thm)],[c_0_18]) ).

thf(c_0_61,negated_conjecture,
    ! [X1: $i] :
      ( ( epred1_0 @ esk1_0 @ esk3_0 )
      | ( epred1_0 @ esk7_0 @ esk8_0 )
      | ( epred1_0 @ X1 @ esk3_0 )
      | ~ ( epred1_0 @ X1 @ esk2_0 ) ),
    inference(spm,[status(thm)],[c_0_56,c_0_29]) ).

thf(c_0_62,negated_conjecture,
    ! [X1: $i] :
      ( ( epred1_0 @ esk7_0 @ esk8_0 )
      | ( epred2_0 @ X1 )
      | ~ ( epred1_0 @ esk4_0 @ X1 )
      | ~ ( epred2_0 @ esk3_0 ) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_57,c_0_24])]) ).

thf(c_0_63,negated_conjecture,
    ( ( epred1_0 @ esk7_0 @ esk8_0 )
    | ~ ( epred2_0 @ esk3_0 )
    | ~ ( epred2_0 @ esk4_0 ) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_58,c_0_24])]) ).

thf(c_0_64,negated_conjecture,
    ! [X1: $i] :
      ( ( epred1_0 @ esk7_0 @ esk8_0 )
      | ( epred2_0 @ X1 )
      | ~ ( epred1_0 @ esk5_0 @ esk5_0 )
      | ~ ( epred2_0 @ esk4_0 )
      | ~ ( epred1_0 @ esk1_0 @ X1 ) ),
    inference(split_conjunct,[status(thm)],[c_0_18]) ).

thf(c_0_65,negated_conjecture,
    ! [X1: $i,X3: $i,X12: $i,X13: $i] :
      ( ( epred1_0 @ esk1_0 @ esk3_0 )
      | ( epred1_0 @ esk6_0 @ esk7_0 )
      | ( epred1_0 @ esk1_0 @ X1 )
      | ( epred1_0 @ X3 @ X12 )
      | ~ ( epred1_0 @ esk2_0 @ X1 )
      | ~ ( epred1_0 @ X13 @ X12 )
      | ~ ( epred1_0 @ X3 @ X13 ) ),
    inference(spm,[status(thm)],[c_0_59,c_0_51]) ).

thf(c_0_66,negated_conjecture,
    ! [X3: $i,X1: $i] :
      ( ( epred1_0 @ esk7_0 @ esk8_0 )
      | ( epred2_0 @ X1 )
      | ( epred2_0 @ X3 )
      | ~ ( epred1_0 @ esk1_0 @ X3 )
      | ~ ( epred1_0 @ esk4_0 @ X1 ) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_60,c_0_24])]) ).

thf(c_0_67,negated_conjecture,
    ( ( epred1_0 @ esk7_0 @ esk8_0 )
    | ( epred1_0 @ esk1_0 @ esk3_0 ) ),
    inference(spm,[status(thm)],[c_0_61,c_0_40]) ).

thf(c_0_68,negated_conjecture,
    ( ( epred1_0 @ esk7_0 @ esk8_0 )
    | ~ ( epred2_0 @ esk3_0 ) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_62,c_0_24]),c_0_63]) ).

thf(c_0_69,negated_conjecture,
    ! [X1: $i] :
      ( ( epred1_0 @ esk7_0 @ esk8_0 )
      | ( epred2_0 @ X1 )
      | ~ ( epred1_0 @ esk1_0 @ X1 )
      | ~ ( epred2_0 @ esk4_0 ) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_64,c_0_24])]) ).

thf(c_0_70,negated_conjecture,
    ! [X1: $i,X3: $i,X12: $i] :
      ( ( epred1_0 @ esk6_0 @ esk7_0 )
      | ( epred1_0 @ esk1_0 @ esk3_0 )
      | ( epred1_0 @ X1 @ X3 )
      | ~ ( epred1_0 @ X12 @ X3 )
      | ~ ( epred1_0 @ X1 @ X12 ) ),
    inference(spm,[status(thm)],[c_0_65,c_0_41]) ).

thf(c_0_71,negated_conjecture,
    ! [X1: $i] :
      ( ( epred1_0 @ esk6_0 @ esk7_0 )
      | ( epred2_0 @ X1 )
      | ~ ( epred1_0 @ esk5_0 @ esk5_0 )
      | ~ ( epred1_0 @ esk4_0 @ X1 )
      | ~ ( epred2_0 @ esk3_0 ) ),
    inference(split_conjunct,[status(thm)],[c_0_18]) ).

thf(c_0_72,negated_conjecture,
    ( ( epred1_0 @ esk6_0 @ esk7_0 )
    | ~ ( epred1_0 @ esk5_0 @ esk5_0 )
    | ~ ( epred2_0 @ esk4_0 )
    | ~ ( epred2_0 @ esk3_0 ) ),
    inference(split_conjunct,[status(thm)],[c_0_18]) ).

thf(c_0_73,negated_conjecture,
    ! [X1: $i] :
      ( ( epred1_0 @ esk7_0 @ esk8_0 )
      | ( epred2_0 @ X1 )
      | ~ ( epred1_0 @ esk4_0 @ X1 ) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_66,c_0_67]),c_0_68]) ).

thf(c_0_74,negated_conjecture,
    ( ( epred1_0 @ esk7_0 @ esk8_0 )
    | ~ ( epred2_0 @ esk4_0 ) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_69,c_0_67]),c_0_68]) ).

thf(c_0_75,negated_conjecture,
    ! [X1: $i,X3: $i] :
      ( ( epred1_0 @ esk6_0 @ esk7_0 )
      | ( epred2_0 @ X1 )
      | ( epred2_0 @ X3 )
      | ~ ( epred1_0 @ esk5_0 @ esk5_0 )
      | ~ ( epred1_0 @ esk4_0 @ X1 )
      | ~ ( epred1_0 @ esk1_0 @ X3 ) ),
    inference(split_conjunct,[status(thm)],[c_0_18]) ).

thf(c_0_76,negated_conjecture,
    ! [X1: $i] :
      ( ( epred1_0 @ esk1_0 @ esk3_0 )
      | ( epred1_0 @ esk6_0 @ esk7_0 )
      | ( epred1_0 @ X1 @ esk3_0 )
      | ~ ( epred1_0 @ X1 @ esk2_0 ) ),
    inference(spm,[status(thm)],[c_0_70,c_0_41]) ).

thf(c_0_77,negated_conjecture,
    ! [X1: $i] :
      ( ( epred1_0 @ esk6_0 @ esk7_0 )
      | ( epred2_0 @ X1 )
      | ~ ( epred1_0 @ esk4_0 @ X1 )
      | ~ ( epred2_0 @ esk3_0 ) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_71,c_0_24])]) ).

thf(c_0_78,negated_conjecture,
    ( ( epred1_0 @ esk6_0 @ esk7_0 )
    | ~ ( epred2_0 @ esk3_0 )
    | ~ ( epred2_0 @ esk4_0 ) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_72,c_0_24])]) ).

thf(c_0_79,negated_conjecture,
    ! [X1: $i] :
      ( ( epred1_0 @ esk6_0 @ esk7_0 )
      | ( epred2_0 @ X1 )
      | ~ ( epred1_0 @ esk5_0 @ esk5_0 )
      | ~ ( epred2_0 @ esk4_0 )
      | ~ ( epred1_0 @ esk1_0 @ X1 ) ),
    inference(split_conjunct,[status(thm)],[c_0_18]) ).

thf(c_0_80,negated_conjecture,
    epred1_0 @ esk7_0 @ esk8_0,
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_73,c_0_24]),c_0_74]) ).

thf(c_0_81,negated_conjecture,
    ! [X3: $i,X1: $i] :
      ( ( epred1_0 @ esk6_0 @ esk7_0 )
      | ( epred2_0 @ X1 )
      | ( epred2_0 @ X3 )
      | ~ ( epred1_0 @ esk1_0 @ X3 )
      | ~ ( epred1_0 @ esk4_0 @ X1 ) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_75,c_0_24])]) ).

thf(c_0_82,negated_conjecture,
    ( ( epred1_0 @ esk6_0 @ esk7_0 )
    | ( epred1_0 @ esk1_0 @ esk3_0 ) ),
    inference(spm,[status(thm)],[c_0_76,c_0_51]) ).

thf(c_0_83,negated_conjecture,
    ( ( epred1_0 @ esk6_0 @ esk7_0 )
    | ~ ( epred2_0 @ esk3_0 ) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_77,c_0_24]),c_0_78]) ).

thf(c_0_84,negated_conjecture,
    ! [X1: $i] :
      ( ( epred1_0 @ esk6_0 @ esk7_0 )
      | ( epred2_0 @ X1 )
      | ~ ( epred1_0 @ esk1_0 @ X1 )
      | ~ ( epred2_0 @ esk4_0 ) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_79,c_0_24])]) ).

thf(c_0_85,negated_conjecture,
    ! [X1: $i,X2: $i > $o,X3: $i,X12: $i,X13: $i] :
      ( ( epred1_0 @ X1 @ ( esk9_2 @ X2 @ X1 ) )
      | ( epred1_0 @ X3 @ X12 )
      | ( X2 @ esk8_0 )
      | ~ ( epred1_0 @ X1 @ esk7_0 )
      | ~ ( epred1_0 @ X13 @ X12 )
      | ~ ( epred1_0 @ X3 @ X13 ) ),
    inference(spm,[status(thm)],[c_0_28,c_0_80]) ).

thf(c_0_86,negated_conjecture,
    ! [X1: $i] :
      ( ( epred1_0 @ esk6_0 @ esk7_0 )
      | ( epred2_0 @ X1 )
      | ~ ( epred1_0 @ esk4_0 @ X1 ) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_81,c_0_82]),c_0_83]) ).

thf(c_0_87,negated_conjecture,
    ( ( epred1_0 @ esk6_0 @ esk7_0 )
    | ~ ( epred2_0 @ esk4_0 ) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_84,c_0_82]),c_0_83]) ).

thf(c_0_88,negated_conjecture,
    ! [X1: $i,X2: $i > $o,X3: $i] :
      ( ( epred1_0 @ X1 @ ( esk9_2 @ X2 @ X1 ) )
      | ( epred1_0 @ X3 @ esk8_0 )
      | ( X2 @ esk8_0 )
      | ~ ( epred1_0 @ X1 @ esk7_0 )
      | ~ ( epred1_0 @ X3 @ esk7_0 ) ),
    inference(spm,[status(thm)],[c_0_85,c_0_80]) ).

thf(c_0_89,negated_conjecture,
    epred1_0 @ esk6_0 @ esk7_0,
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_86,c_0_24]),c_0_87]) ).

thf(c_0_90,negated_conjecture,
    ! [X2: $i > $o,X1: $i] :
      ( ( epred1_0 @ esk6_0 @ ( esk9_2 @ X2 @ esk6_0 ) )
      | ( epred1_0 @ X1 @ esk8_0 )
      | ( X2 @ esk8_0 )
      | ~ ( epred1_0 @ X1 @ esk7_0 ) ),
    inference(spm,[status(thm)],[c_0_88,c_0_89]) ).

thf(c_0_91,negated_conjecture,
    ! [X2: $i > $o] :
      ( ( epred1_0 @ esk6_0 @ ( esk9_2 @ X2 @ esk6_0 ) )
      | ( epred1_0 @ esk6_0 @ esk8_0 )
      | ( X2 @ esk8_0 ) ),
    inference(spm,[status(thm)],[c_0_90,c_0_89]) ).

thf(c_0_92,negated_conjecture,
    ! [X1: $i] :
      ( ( epred2_0 @ X1 )
      | ( epred1_0 @ esk2_0 @ esk3_0 )
      | ~ ( epred1_0 @ esk6_0 @ esk8_0 )
      | ~ ( epred1_0 @ esk5_0 @ esk5_0 )
      | ~ ( epred1_0 @ esk4_0 @ X1 ) ),
    inference(split_conjunct,[status(thm)],[c_0_18]) ).

thf(c_0_93,negated_conjecture,
    ( ( epred1_0 @ esk2_0 @ esk3_0 )
    | ~ ( epred1_0 @ esk6_0 @ esk8_0 )
    | ~ ( epred1_0 @ esk5_0 @ esk5_0 )
    | ~ ( epred2_0 @ esk4_0 ) ),
    inference(split_conjunct,[status(thm)],[c_0_18]) ).

thf(c_0_94,negated_conjecture,
    ! [X1: $i,X3: $i,X13: $i,X12: $i,X15: $i] :
      ( ( epred1_0 @ esk6_0 @ esk8_0 )
      | ( epred1_0 @ esk6_0 @ X1 )
      | ( epred1_0 @ X3 @ X12 )
      | ~ ( epred1_0 @ esk6_0 @ X13 )
      | ~ ( epred1_0 @ X13 @ X1 )
      | ~ ( epred1_0 @ X15 @ X12 )
      | ~ ( epred1_0 @ X3 @ X15 ) ),
    inference(spm,[status(thm)],[c_0_48,c_0_91]) ).

thf(c_0_95,negated_conjecture,
    ! [X1: $i] :
      ( ( epred1_0 @ esk2_0 @ esk3_0 )
      | ( epred2_0 @ X1 )
      | ~ ( epred1_0 @ esk6_0 @ esk8_0 )
      | ~ ( epred1_0 @ esk4_0 @ X1 ) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_92,c_0_24])]) ).

thf(c_0_96,negated_conjecture,
    ( ( epred1_0 @ esk2_0 @ esk3_0 )
    | ~ ( epred1_0 @ esk6_0 @ esk8_0 )
    | ~ ( epred2_0 @ esk4_0 ) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_93,c_0_24])]) ).

thf(c_0_97,negated_conjecture,
    ! [X1: $i,X3: $i,X12: $i,X13: $i] :
      ( ( epred1_0 @ esk6_0 @ esk8_0 )
      | ( epred1_0 @ esk6_0 @ X1 )
      | ( epred1_0 @ X3 @ X12 )
      | ~ ( epred1_0 @ esk7_0 @ X1 )
      | ~ ( epred1_0 @ X13 @ X12 )
      | ~ ( epred1_0 @ X3 @ X13 ) ),
    inference(spm,[status(thm)],[c_0_94,c_0_89]) ).

thf(c_0_98,negated_conjecture,
    ( ( epred1_0 @ esk2_0 @ esk3_0 )
    | ~ ( epred1_0 @ esk6_0 @ esk8_0 ) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_95,c_0_24]),c_0_96]) ).

thf(c_0_99,negated_conjecture,
    ! [X1: $i,X3: $i,X12: $i] :
      ( ( epred1_0 @ esk6_0 @ esk8_0 )
      | ( epred1_0 @ X1 @ X3 )
      | ~ ( epred1_0 @ X12 @ X3 )
      | ~ ( epred1_0 @ X1 @ X12 ) ),
    inference(spm,[status(thm)],[c_0_97,c_0_80]) ).

thf(c_0_100,negated_conjecture,
    ! [X1: $i] :
      ( ( epred2_0 @ X1 )
      | ( epred1_0 @ esk1_0 @ esk2_0 )
      | ~ ( epred1_0 @ esk6_0 @ esk8_0 )
      | ~ ( epred1_0 @ esk5_0 @ esk5_0 )
      | ~ ( epred1_0 @ esk4_0 @ X1 ) ),
    inference(split_conjunct,[status(thm)],[c_0_18]) ).

thf(c_0_101,negated_conjecture,
    ( ( epred1_0 @ esk1_0 @ esk2_0 )
    | ~ ( epred1_0 @ esk6_0 @ esk8_0 )
    | ~ ( epred1_0 @ esk5_0 @ esk5_0 )
    | ~ ( epred2_0 @ esk4_0 ) ),
    inference(split_conjunct,[status(thm)],[c_0_18]) ).

thf(c_0_102,negated_conjecture,
    ! [X1: $i,X2: $i > $o,X3: $i,X12: $i,X13: $i] :
      ( ( epred1_0 @ X1 @ ( esk9_2 @ X2 @ X1 ) )
      | ( epred1_0 @ X3 @ X12 )
      | ( X2 @ esk3_0 )
      | ~ ( epred1_0 @ esk6_0 @ esk8_0 )
      | ~ ( epred1_0 @ X1 @ esk2_0 )
      | ~ ( epred1_0 @ X13 @ X12 )
      | ~ ( epred1_0 @ X3 @ X13 ) ),
    inference(spm,[status(thm)],[c_0_28,c_0_98]) ).

thf(c_0_103,negated_conjecture,
    ! [X1: $i] :
      ( ( epred1_0 @ esk6_0 @ esk8_0 )
      | ( epred1_0 @ X1 @ esk8_0 )
      | ~ ( epred1_0 @ X1 @ esk7_0 ) ),
    inference(spm,[status(thm)],[c_0_99,c_0_80]) ).

thf(c_0_104,negated_conjecture,
    ! [X1: $i] :
      ( ( epred1_0 @ esk1_0 @ esk2_0 )
      | ( epred2_0 @ X1 )
      | ~ ( epred1_0 @ esk6_0 @ esk8_0 )
      | ~ ( epred1_0 @ esk4_0 @ X1 ) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_100,c_0_24])]) ).

thf(c_0_105,negated_conjecture,
    ( ( epred1_0 @ esk1_0 @ esk2_0 )
    | ~ ( epred1_0 @ esk6_0 @ esk8_0 )
    | ~ ( epred2_0 @ esk4_0 ) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_101,c_0_24])]) ).

thf(c_0_106,negated_conjecture,
    ! [X1: $i,X2: $i > $o,X3: $i] :
      ( ( epred1_0 @ X1 @ ( esk9_2 @ X2 @ X1 ) )
      | ( epred1_0 @ X3 @ esk3_0 )
      | ( X2 @ esk3_0 )
      | ~ ( epred1_0 @ esk6_0 @ esk8_0 )
      | ~ ( epred1_0 @ X1 @ esk2_0 )
      | ~ ( epred1_0 @ X3 @ esk2_0 ) ),
    inference(spm,[status(thm)],[c_0_102,c_0_98]) ).

thf(c_0_107,negated_conjecture,
    epred1_0 @ esk6_0 @ esk8_0,
    inference(spm,[status(thm)],[c_0_103,c_0_89]) ).

thf(c_0_108,negated_conjecture,
    ( ( epred1_0 @ esk1_0 @ esk2_0 )
    | ~ ( epred1_0 @ esk6_0 @ esk8_0 ) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_104,c_0_24]),c_0_105]) ).

thf(c_0_109,negated_conjecture,
    ! [X1: $i,X3: $i] :
      ( ( epred2_0 @ X1 )
      | ( epred2_0 @ X3 )
      | ~ ( epred1_0 @ esk6_0 @ esk8_0 )
      | ~ ( epred1_0 @ esk5_0 @ esk5_0 )
      | ~ ( epred1_0 @ esk4_0 @ X1 )
      | ~ ( epred1_0 @ esk1_0 @ X3 ) ),
    inference(split_conjunct,[status(thm)],[c_0_18]) ).

thf(c_0_110,negated_conjecture,
    ! [X1: $i,X2: $i > $o,X3: $i] :
      ( ( epred1_0 @ X1 @ ( esk9_2 @ X2 @ X1 ) )
      | ( epred1_0 @ X3 @ esk3_0 )
      | ( X2 @ esk3_0 )
      | ~ ( epred1_0 @ X1 @ esk2_0 )
      | ~ ( epred1_0 @ X3 @ esk2_0 ) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_106,c_0_107])]) ).

thf(c_0_111,negated_conjecture,
    epred1_0 @ esk1_0 @ esk2_0,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_108,c_0_107])]) ).

thf(c_0_112,negated_conjecture,
    ! [X1: $i] :
      ( ( epred2_0 @ X1 )
      | ~ ( epred1_0 @ esk6_0 @ esk8_0 )
      | ~ ( epred1_0 @ esk5_0 @ esk5_0 )
      | ~ ( epred2_0 @ esk4_0 )
      | ~ ( epred1_0 @ esk1_0 @ X1 ) ),
    inference(split_conjunct,[status(thm)],[c_0_18]) ).

thf(c_0_113,negated_conjecture,
    ! [X3: $i,X1: $i] :
      ( ( epred2_0 @ X1 )
      | ( epred2_0 @ X3 )
      | ~ ( epred1_0 @ esk6_0 @ esk8_0 )
      | ~ ( epred1_0 @ esk1_0 @ X3 )
      | ~ ( epred1_0 @ esk4_0 @ X1 ) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_109,c_0_24])]) ).

thf(c_0_114,negated_conjecture,
    ! [X2: $i > $o,X1: $i] :
      ( ( epred1_0 @ esk1_0 @ ( esk9_2 @ X2 @ esk1_0 ) )
      | ( epred1_0 @ X1 @ esk3_0 )
      | ( X2 @ esk3_0 )
      | ~ ( epred1_0 @ X1 @ esk2_0 ) ),
    inference(spm,[status(thm)],[c_0_110,c_0_111]) ).

thf(c_0_115,negated_conjecture,
    ! [X1: $i] :
      ( ( epred2_0 @ X1 )
      | ~ ( epred1_0 @ esk6_0 @ esk8_0 )
      | ~ ( epred1_0 @ esk1_0 @ X1 )
      | ~ ( epred2_0 @ esk4_0 ) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_112,c_0_24])]) ).

thf(c_0_116,negated_conjecture,
    ! [X1: $i] :
      ( ( epred2_0 @ X1 )
      | ~ ( epred1_0 @ esk6_0 @ esk8_0 )
      | ~ ( epred1_0 @ esk5_0 @ esk5_0 )
      | ~ ( epred1_0 @ esk4_0 @ X1 )
      | ~ ( epred2_0 @ esk3_0 ) ),
    inference(split_conjunct,[status(thm)],[c_0_18]) ).

thf(c_0_117,negated_conjecture,
    ( ~ ( epred1_0 @ esk6_0 @ esk8_0 )
    | ~ ( epred1_0 @ esk5_0 @ esk5_0 )
    | ~ ( epred2_0 @ esk4_0 )
    | ~ ( epred2_0 @ esk3_0 ) ),
    inference(split_conjunct,[status(thm)],[c_0_18]) ).

thf(c_0_118,negated_conjecture,
    ! [X1: $i,X3: $i] :
      ( ( epred2_0 @ X1 )
      | ( epred2_0 @ X3 )
      | ~ ( epred1_0 @ esk1_0 @ X1 )
      | ~ ( epred1_0 @ esk4_0 @ X3 ) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_113,c_0_107])]) ).

thf(c_0_119,negated_conjecture,
    ! [X2: $i > $o] :
      ( ( epred1_0 @ esk1_0 @ ( esk9_2 @ X2 @ esk1_0 ) )
      | ( epred1_0 @ esk1_0 @ esk3_0 )
      | ( X2 @ esk3_0 ) ),
    inference(spm,[status(thm)],[c_0_114,c_0_111]) ).

thf(c_0_120,negated_conjecture,
    ! [X1: $i] :
      ( ( epred2_0 @ X1 )
      | ~ ( epred1_0 @ esk1_0 @ X1 )
      | ~ ( epred2_0 @ esk4_0 ) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_115,c_0_107])]) ).

thf(c_0_121,negated_conjecture,
    ! [X1: $i] :
      ( ( epred2_0 @ X1 )
      | ~ ( epred1_0 @ esk6_0 @ esk8_0 )
      | ~ ( epred1_0 @ esk4_0 @ X1 )
      | ~ ( epred2_0 @ esk3_0 ) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_116,c_0_24])]) ).

thf(c_0_122,negated_conjecture,
    ( ~ ( epred1_0 @ esk6_0 @ esk8_0 )
    | ~ ( epred2_0 @ esk3_0 )
    | ~ ( epred2_0 @ esk4_0 ) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_117,c_0_24])]) ).

thf(c_0_123,negated_conjecture,
    ! [X2: $i > $o,X1: $i] :
      ( ( epred2_0 @ ( esk9_2 @ X2 @ esk1_0 ) )
      | ( epred1_0 @ esk1_0 @ esk3_0 )
      | ( X2 @ esk3_0 )
      | ( epred2_0 @ X1 )
      | ~ ( epred1_0 @ esk4_0 @ X1 ) ),
    inference(spm,[status(thm)],[c_0_118,c_0_119]) ).

thf(c_0_124,negated_conjecture,
    ! [X2: $i > $o] :
      ( ( epred2_0 @ ( esk9_2 @ X2 @ esk1_0 ) )
      | ( epred1_0 @ esk1_0 @ esk3_0 )
      | ( X2 @ esk3_0 )
      | ~ ( epred2_0 @ esk4_0 ) ),
    inference(spm,[status(thm)],[c_0_120,c_0_119]) ).

thf(c_0_125,negated_conjecture,
    ! [X1: $i] :
      ( ( epred2_0 @ X1 )
      | ~ ( epred1_0 @ esk4_0 @ X1 )
      | ~ ( epred2_0 @ esk3_0 ) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_121,c_0_107])]) ).

thf(c_0_126,negated_conjecture,
    ( ~ ( epred2_0 @ esk3_0 )
    | ~ ( epred2_0 @ esk4_0 ) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_122,c_0_107])]) ).

thf(c_0_127,negated_conjecture,
    ! [X2: $i > $o] :
      ( ( epred2_0 @ ( esk9_2 @ X2 @ esk1_0 ) )
      | ( epred1_0 @ esk1_0 @ esk3_0 )
      | ( X2 @ esk3_0 ) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_123,c_0_24]),c_0_124]) ).

thf(c_0_128,negated_conjecture,
    ~ ( epred2_0 @ esk3_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_125,c_0_24]),c_0_126]) ).

thf(c_0_129,negated_conjecture,
    ! [X1: $i,X3: $i,X13: $i,X12: $i,X15: $i] :
      ( ( epred1_0 @ esk1_0 @ esk3_0 )
      | ( epred1_0 @ X1 @ X3 )
      | ( epred2_0 @ X12 )
      | ~ ( epred1_0 @ esk1_0 @ X13 )
      | ~ ( epred1_0 @ X13 @ X12 )
      | ~ ( epred1_0 @ X15 @ X3 )
      | ~ ( epred1_0 @ X1 @ X15 ) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_48,c_0_127]),c_0_128]) ).

thf(c_0_130,negated_conjecture,
    ! [X1: $i,X12: $i,X3: $i,X13: $i] :
      ( ( epred1_0 @ esk1_0 @ esk3_0 )
      | ( epred1_0 @ X1 @ X3 )
      | ( epred2_0 @ X12 )
      | ~ ( epred1_0 @ esk2_0 @ X12 )
      | ~ ( epred1_0 @ X13 @ X3 )
      | ~ ( epred1_0 @ X1 @ X13 ) ),
    inference(spm,[status(thm)],[c_0_129,c_0_111]) ).

thf(c_0_131,negated_conjecture,
    epred1_0 @ esk2_0 @ esk3_0,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_98,c_0_107])]) ).

thf(c_0_132,negated_conjecture,
    ! [X1: $i,X3: $i,X12: $i] :
      ( ( epred1_0 @ esk1_0 @ esk3_0 )
      | ( epred1_0 @ X1 @ X3 )
      | ~ ( epred1_0 @ X12 @ X3 )
      | ~ ( epred1_0 @ X1 @ X12 ) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_130,c_0_131]),c_0_128]) ).

thf(c_0_133,negated_conjecture,
    ! [X1: $i] :
      ( ( epred1_0 @ esk1_0 @ esk3_0 )
      | ( epred1_0 @ X1 @ esk3_0 )
      | ~ ( epred1_0 @ X1 @ esk2_0 ) ),
    inference(spm,[status(thm)],[c_0_132,c_0_131]) ).

thf(c_0_134,negated_conjecture,
    epred1_0 @ esk1_0 @ esk3_0,
    inference(spm,[status(thm)],[c_0_133,c_0_111]) ).

thf(c_0_135,negated_conjecture,
    ! [X1: $i] :
      ( ( epred2_0 @ X1 )
      | ~ ( epred1_0 @ esk4_0 @ X1 ) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_118,c_0_134]),c_0_128]) ).

thf(c_0_136,negated_conjecture,
    ~ ( epred2_0 @ esk4_0 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_120,c_0_134]),c_0_128]) ).

thf(c_0_137,negated_conjecture,
    $false,
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_135,c_0_24]),c_0_136]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : LCL602^1 : TPTP v9.3.1. Released v3.6.0.
% 0.00/0.05  % Command  : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.20  % Computer : n015.cluster.edu
% 0.08/0.20  % Model    : x86_64 x86_64
% 0.08/0.20  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.20  % Memory   : 8046.5625MB
% 0.08/0.20  % OS       : Linux 6.8.0-71-generic
% 0.08/0.20  % CPULimit : 300
% 0.08/0.20  % WCLimit  : 300
% 0.08/0.20  % DateTime : Tue Sep 29 09:17:47 UTC 2026
% 0.08/0.20  % CPUTime  : 
% 0.08/0.20  Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.25  Running higher-order theorem proving
% 0.08/0.26  Running: /export/starexec/sandbox/solver/bin/eprover-ho --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=300 /export/starexec/sandbox/tmp/tmp.f5iKNM0HdT/E---3.1_3282187.p
% 0.91/0.42  % Version: 3.5.1-ho
% 0.91/0.42  % Preprocessing class: HSMSSMSSMLSNHSN.
% 0.91/0.42  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.91/0.42  % Starting new_ho_10_cnf2 with 1500s (5) cores
% 0.91/0.42  % Starting post_as_ho3 with 300s (1) cores
% 0.91/0.42  % Starting post_as_ho11 with 300s (1) cores
% 0.91/0.42  % Starting full_lambda_8 with 300s (1) cores
% 0.91/0.42  % new_ho_10_cnf2 with pid 3282217 completed with status 0
% 0.91/0.42  % Result found by new_ho_10_cnf2
% 0.91/0.42  % Preprocessing class: HSMSSMSSMLSNHSN.
% 0.91/0.42  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.91/0.42  % Starting new_ho_10_cnf2 with 1500s (5) cores
% 0.91/0.42  % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.91/0.42  % No SInE strategy applied
% 0.91/0.42  % Search class: HGHNF-FFMF22-SHSSMSBN
% 0.91/0.42  % partial match(1): HGHNF-FFMF21-SHSSMSBN
% 0.91/0.42  % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.91/0.42  % Starting SubtermCWHack with 136s (1) cores
% 0.91/0.42  % Starting new_ho_10_cnf2 with 151s (1) cores
% 0.91/0.42  % Starting post_as_ho11 with 136s (1) cores
% 0.91/0.42  % Starting pre_casc_8 with 136s (1) cores
% 0.91/0.42  % Starting post_as_ho2 with 136s (1) cores
% 0.91/0.42  % SubtermCWHack with pid 3282223 completed with status 0
% 0.91/0.42  % Result found by SubtermCWHack
% 0.91/0.42  % Preprocessing class: HSMSSMSSMLSNHSN.
% 0.91/0.42  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.91/0.42  % Starting new_ho_10_cnf2 with 1500s (5) cores
% 0.91/0.42  % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.91/0.42  % No SInE strategy applied
% 0.91/0.42  % Search class: HGHNF-FFMF22-SHSSMSBN
% 0.91/0.42  % partial match(1): HGHNF-FFMF21-SHSSMSBN
% 0.91/0.42  % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.91/0.42  % Starting SubtermCWHack with 136s (1) cores
% 0.91/0.42  % Preprocessing time       : 0.001 s
% 0.91/0.42  
% 0.91/0.42  % Proof found!
% 0.91/0.42  % SZS status Theorem
% 0.91/0.42  % SZS output start CNFRefutation
% See solution above
% 0.91/0.43  % Parsed axioms                        : 78
% 0.91/0.43  % Removed by relevancy pruning/SinE    : 0
% 0.91/0.43  % Initial clauses                      : 73
% 0.91/0.43  % Removed in clause preprocessing      : 41
% 0.91/0.43  % Initial clauses in saturation        : 32
% 0.91/0.43  % Processed clauses                    : 1422
% 0.91/0.43  % ...of these trivial                  : 3
% 0.91/0.43  % ...subsumed                          : 830
% 0.91/0.43  % ...remaining for further processing  : 589
% 0.91/0.43  % Other redundant clauses eliminated   : 0
% 0.91/0.43  % Clauses deleted for lack of memory   : 0
% 0.91/0.43  % Backward-subsumed                    : 238
% 0.91/0.43  % Backward-rewritten                   : 258
% 0.91/0.43  % Generated clauses                    : 6319
% 0.91/0.43  % ...of the previous two non-redundant : 5998
% 0.91/0.43  % ...aggressively subsumed             : 0
% 0.91/0.43  % Contextual simplify-reflections      : 56
% 0.91/0.43  % Paramodulations                      : 6295
% 0.91/0.43  % Factorizations                       : 24
% 0.91/0.43  % NegExts                              : 0
% 0.91/0.43  % Equation resolutions                 : 0
% 0.91/0.43  % Disequality decompositions           : 0
% 0.91/0.43  % Total rewrite steps                  : 406
% 0.91/0.43  % ...of those cached                   : 394
% 0.91/0.43  % Propositional unsat checks           : 0
% 0.91/0.43  %    Propositional check models        : 0
% 0.91/0.43  %    Propositional check unsatisfiable : 0
% 0.91/0.43  %    Propositional clauses             : 0
% 0.91/0.43  %    Propositional clauses after purity: 0
% 0.91/0.43  %    Propositional unsat core size     : 0
% 0.91/0.43  %    Propositional preprocessing time  : 0.000
% 0.91/0.43  %    Propositional encoding time       : 0.000
% 0.91/0.43  %    Propositional solver time         : 0.000
% 0.91/0.43  %    Success case prop preproc time    : 0.000
% 0.91/0.43  %    Success case prop encoding time   : 0.000
% 0.91/0.43  %    Success case prop solver time     : 0.000
% 0.91/0.43  % Current number of processed clauses  : 93
% 0.91/0.43  %    Positive orientable unit clauses  : 9
% 0.91/0.43  %    Positive unorientable unit clauses: 0
% 0.91/0.43  %    Negative unit clauses             : 2
% 0.91/0.43  %    Non-unit-clauses                  : 82
% 0.91/0.43  % Current number of unprocessed clauses: 185
% 0.91/0.43  % ...number of literals in the above   : 1246
% 0.91/0.43  % Current number of archived formulas  : 0
% 0.91/0.43  % Current number of archived clauses   : 496
% 0.91/0.43  % Clause-clause subsumption calls (NU) : 21373
% 0.91/0.43  % Rec. Clause-clause subsumption calls : 4833
% 0.91/0.43  % Non-unit clause-clause subsumptions  : 1113
% 0.91/0.43  % Unit Clause-clause subsumption calls : 77
% 0.91/0.43  % Rewrite failures with RHS unbound    : 0
% 0.91/0.43  % BW rewrite match attempts            : 15
% 0.91/0.43  % BW rewrite match successes           : 11
% 0.91/0.43  % Condensation attempts                : 0
% 0.91/0.43  % Condensation successes               : 0
% 0.91/0.43  % Termbank termtop insertions          : 169689
% 0.91/0.43  % Search garbage collected termcells   : 809
% 0.91/0.43  
% 0.91/0.43  % -------------------------------------------------
% 0.91/0.43  % User time                : 0.136 s
% 0.91/0.43  % System time              : 0.008 s
% 0.91/0.43  % Total time               : 0.144 s
% 0.91/0.43  % Maximum resident set size: 3976 pages
% 0.91/0.43  
% 0.91/0.43  % -------------------------------------------------
% 0.91/0.43  % User time                : 0.608 s
% 0.91/0.43  % System time              : 0.027 s
% 0.91/0.43  % Total time               : 0.635 s
% 0.91/0.43  % Maximum resident set size: 4864 pages
% 0.91/0.43  % E exiting
%------------------------------------------------------------------------------