TSTP Solution File: ITP006^1 by E---3.1.00

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E---3.1.00
% Problem  : ITP006^1 : TPTP v8.2.0. Bugfixed v7.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n003.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  : 300s
% DateTime : Mon May 20 22:15:15 EDT 2024

% Result   : Theorem 0.20s 0.51s
% Output   : CNFRefutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :   31
% Syntax   : Number of formulae    :   43 (   4 unt;  29 typ;   0 def)
%            Number of atoms       :   92 (   8 equ;   0 cnn)
%            Maximal formula atoms :   36 (   6 avg)
%            Number of connectives : 1415 (  32   ~;  25   |;  27   &;1305   @)
%                                         (  12 <=>;  14  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   84 (  20 avg)
%            Number of types       :    4 (   3 usr)
%            Number of type conns  :   61 (  61   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   28 (  26 usr;   7 con; 0-5 aty)
%            Number of variables   :  128 (   0   ^ 120   !;   8   ?; 128   :)

% Comments : 
%------------------------------------------------------------------------------
thf(decl_sort1,type,
    d: $tType ).

thf(decl_sort2,type,
    u: $tType ).

thf(decl_sort3,type,
    du: $tType ).

thf(decl_22,type,
    tyop_2Emin_2Ebool: d ).

thf(decl_23,type,
    tyop_2Emin_2Efun: d > d > d ).

thf(decl_24,type,
    s: d > u > du ).

thf(decl_25,type,
    app_2E2: du > du > u ).

thf(decl_41,type,
    c_2EquantHeuristics_2EGUESS__EXISTS_2E2: du > du > u ).

thf(decl_43,type,
    c_2EquantHeuristics_2EGUESS__EXISTS__GAP_2E2: du > du > u ).

thf(decl_45,type,
    c_2EquantHeuristics_2EGUESS__EXISTS__POINT_2E2: du > du > u ).

thf(decl_47,type,
    c_2EquantHeuristics_2EGUESS__FORALL_2E2: du > du > u ).

thf(decl_49,type,
    c_2EquantHeuristics_2EGUESS__FORALL__GAP_2E2: du > du > u ).

thf(decl_51,type,
    c_2EquantHeuristics_2EGUESS__FORALL__POINT_2E2: du > du > u ).

thf(decl_68,type,
    j_mono_2Etyop_2Emin_2Ebool: du > $o ).

thf(decl_71,type,
    esk1_0: d ).

thf(decl_72,type,
    esk2_0: d ).

thf(decl_73,type,
    esk3_0: u ).

thf(decl_74,type,
    esk4_0: u ).

thf(decl_75,type,
    esk5_0: u ).

thf(decl_77,type,
    esk7_4: d > d > u > u > u ).

thf(decl_78,type,
    esk8_4: d > d > u > u > u ).

thf(decl_79,type,
    esk9_4: d > d > u > u > u ).

thf(decl_80,type,
    esk10_4: d > d > u > u > u ).

thf(decl_81,type,
    esk11_4: d > d > u > u > u ).

thf(decl_82,type,
    esk12_4: d > d > u > u > u ).

thf(decl_83,type,
    esk13_5: d > d > u > u > u > u ).

thf(decl_84,type,
    esk14_4: d > d > u > u > u ).

thf(decl_85,type,
    esk15_5: d > d > u > u > u > u ).

thf(decl_86,type,
    esk16_4: d > d > u > u > u ).

thf(thm_2EquantHeuristics_2EGUESS__REWRITES,axiom,
    ! [X1: d,X2: d,X30: u,X31: u] :
      ( ( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2EquantHeuristics_2EGUESS__EXISTS_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X1 @ X2 ) @ X30 ) @ ( s @ ( tyop_2Emin_2Efun @ X2 @ tyop_2Emin_2Ebool ) @ X31 ) ) ) )
      <=> ! [X32: u] :
            ( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X2 @ tyop_2Emin_2Ebool ) @ X31 ) @ ( s @ X2 @ X32 ) ) ) )
           => ? [X33: u] : ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X2 @ tyop_2Emin_2Ebool ) @ X31 ) @ ( s @ X2 @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X1 @ X2 ) @ X30 ) @ ( s @ X1 @ X33 ) ) ) ) ) ) ) )
      & ( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2EquantHeuristics_2EGUESS__FORALL_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X1 @ X2 ) @ X30 ) @ ( s @ ( tyop_2Emin_2Efun @ X2 @ tyop_2Emin_2Ebool ) @ X31 ) ) ) )
      <=> ! [X34: u] :
            ( ~ ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X2 @ tyop_2Emin_2Ebool ) @ X31 ) @ ( s @ X2 @ X34 ) ) ) )
           => ? [X35: u] :
                ~ ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X2 @ tyop_2Emin_2Ebool ) @ X31 ) @ ( s @ X2 @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X1 @ X2 ) @ X30 ) @ ( s @ X1 @ X35 ) ) ) ) ) ) ) )
      & ! [X36: u,X37: u] :
          ( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2EquantHeuristics_2EGUESS__EXISTS__POINT_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X1 @ X2 ) @ X36 ) @ ( s @ ( tyop_2Emin_2Efun @ X2 @ tyop_2Emin_2Ebool ) @ X37 ) ) ) )
        <=> ! [X38: u] : ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X2 @ tyop_2Emin_2Ebool ) @ X37 ) @ ( s @ X2 @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X1 @ X2 ) @ X36 ) @ ( s @ X1 @ X38 ) ) ) ) ) ) )
      & ! [X39: u,X40: u] :
          ( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2EquantHeuristics_2EGUESS__FORALL__POINT_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X1 @ X2 ) @ X39 ) @ ( s @ ( tyop_2Emin_2Efun @ X2 @ tyop_2Emin_2Ebool ) @ X40 ) ) ) )
        <=> ! [X41: u] :
              ~ ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X2 @ tyop_2Emin_2Ebool ) @ X40 ) @ ( s @ X2 @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X1 @ X2 ) @ X39 ) @ ( s @ X1 @ X41 ) ) ) ) ) ) )
      & ! [X42: u,X43: u] :
          ( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2EquantHeuristics_2EGUESS__EXISTS__GAP_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X1 @ X2 ) @ X42 ) @ ( s @ ( tyop_2Emin_2Efun @ X2 @ tyop_2Emin_2Ebool ) @ X43 ) ) ) )
        <=> ! [X44: u] :
              ( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X2 @ tyop_2Emin_2Ebool ) @ X43 ) @ ( s @ X2 @ X44 ) ) ) )
             => ? [X45: u] :
                  ( ( s @ X2 @ X44 )
                  = ( s @ X2 @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X1 @ X2 ) @ X42 ) @ ( s @ X1 @ X45 ) ) ) ) ) )
      & ! [X46: u,X47: u] :
          ( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2EquantHeuristics_2EGUESS__FORALL__GAP_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X1 @ X2 ) @ X46 ) @ ( s @ ( tyop_2Emin_2Efun @ X2 @ tyop_2Emin_2Ebool ) @ X47 ) ) ) )
        <=> ! [X48: u] :
              ( ~ ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X2 @ tyop_2Emin_2Ebool ) @ X47 ) @ ( s @ X2 @ X48 ) ) ) )
             => ? [X49: u] :
                  ( ( s @ X2 @ X48 )
                  = ( s @ X2 @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X1 @ X2 ) @ X46 ) @ ( s @ X1 @ X49 ) ) ) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',thm_2EquantHeuristics_2EGUESS__REWRITES) ).

thf(thm_2EquantHeuristics_2EGUESS__RULES__WEAKEN__FORALL__POINT,conjecture,
    ! [X1: d,X2: d,X30: u,X31: u,X58: u] :
      ( ! [X59: u] :
          ( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X1 @ tyop_2Emin_2Ebool ) @ X58 ) @ ( s @ X1 @ X59 ) ) ) )
         => ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X1 @ tyop_2Emin_2Ebool ) @ X31 ) @ ( s @ X1 @ X59 ) ) ) ) )
     => ( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2EquantHeuristics_2EGUESS__FORALL__POINT_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X2 @ X1 ) @ X30 ) @ ( s @ ( tyop_2Emin_2Efun @ X1 @ tyop_2Emin_2Ebool ) @ X31 ) ) ) )
       => ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2EquantHeuristics_2EGUESS__FORALL__POINT_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X2 @ X1 ) @ X30 ) @ ( s @ ( tyop_2Emin_2Efun @ X1 @ tyop_2Emin_2Ebool ) @ X58 ) ) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',thm_2EquantHeuristics_2EGUESS__RULES__WEAKEN__FORALL__POINT) ).

thf(c_0_2,plain,
    ! [X1: d,X2: d,X30: u,X31: u] :
      ( ( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2EquantHeuristics_2EGUESS__EXISTS_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X1 @ X2 ) @ X30 ) @ ( s @ ( tyop_2Emin_2Efun @ X2 @ tyop_2Emin_2Ebool ) @ X31 ) ) ) )
      <=> ! [X32: u] :
            ( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X2 @ tyop_2Emin_2Ebool ) @ X31 ) @ ( s @ X2 @ X32 ) ) ) )
           => ? [X33: u] : ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X2 @ tyop_2Emin_2Ebool ) @ X31 ) @ ( s @ X2 @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X1 @ X2 ) @ X30 ) @ ( s @ X1 @ X33 ) ) ) ) ) ) ) )
      & ( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2EquantHeuristics_2EGUESS__FORALL_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X1 @ X2 ) @ X30 ) @ ( s @ ( tyop_2Emin_2Efun @ X2 @ tyop_2Emin_2Ebool ) @ X31 ) ) ) )
      <=> ! [X34: u] :
            ( ~ ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X2 @ tyop_2Emin_2Ebool ) @ X31 ) @ ( s @ X2 @ X34 ) ) ) )
           => ? [X35: u] :
                ~ ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X2 @ tyop_2Emin_2Ebool ) @ X31 ) @ ( s @ X2 @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X1 @ X2 ) @ X30 ) @ ( s @ X1 @ X35 ) ) ) ) ) ) ) )
      & ! [X36: u,X37: u] :
          ( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2EquantHeuristics_2EGUESS__EXISTS__POINT_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X1 @ X2 ) @ X36 ) @ ( s @ ( tyop_2Emin_2Efun @ X2 @ tyop_2Emin_2Ebool ) @ X37 ) ) ) )
        <=> ! [X38: u] : ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X2 @ tyop_2Emin_2Ebool ) @ X37 ) @ ( s @ X2 @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X1 @ X2 ) @ X36 ) @ ( s @ X1 @ X38 ) ) ) ) ) ) )
      & ! [X39: u,X40: u] :
          ( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2EquantHeuristics_2EGUESS__FORALL__POINT_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X1 @ X2 ) @ X39 ) @ ( s @ ( tyop_2Emin_2Efun @ X2 @ tyop_2Emin_2Ebool ) @ X40 ) ) ) )
        <=> ! [X41: u] :
              ~ ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X2 @ tyop_2Emin_2Ebool ) @ X40 ) @ ( s @ X2 @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X1 @ X2 ) @ X39 ) @ ( s @ X1 @ X41 ) ) ) ) ) ) )
      & ! [X42: u,X43: u] :
          ( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2EquantHeuristics_2EGUESS__EXISTS__GAP_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X1 @ X2 ) @ X42 ) @ ( s @ ( tyop_2Emin_2Efun @ X2 @ tyop_2Emin_2Ebool ) @ X43 ) ) ) )
        <=> ! [X44: u] :
              ( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X2 @ tyop_2Emin_2Ebool ) @ X43 ) @ ( s @ X2 @ X44 ) ) ) )
             => ? [X45: u] :
                  ( ( s @ X2 @ X44 )
                  = ( s @ X2 @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X1 @ X2 ) @ X42 ) @ ( s @ X1 @ X45 ) ) ) ) ) )
      & ! [X46: u,X47: u] :
          ( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2EquantHeuristics_2EGUESS__FORALL__GAP_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X1 @ X2 ) @ X46 ) @ ( s @ ( tyop_2Emin_2Efun @ X2 @ tyop_2Emin_2Ebool ) @ X47 ) ) ) )
        <=> ! [X48: u] :
              ( ~ ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X2 @ tyop_2Emin_2Ebool ) @ X47 ) @ ( s @ X2 @ X48 ) ) ) )
             => ? [X49: u] :
                  ( ( s @ X2 @ X48 )
                  = ( s @ X2 @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X1 @ X2 ) @ X46 ) @ ( s @ X1 @ X49 ) ) ) ) ) ) ),
    inference(fof_simplification,[status(thm)],[thm_2EquantHeuristics_2EGUESS__REWRITES]) ).

thf(c_0_3,negated_conjecture,
    ~ ! [X1: d,X2: d,X30: u,X31: u,X58: u] :
        ( ! [X59: u] :
            ( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X1 @ tyop_2Emin_2Ebool ) @ X58 ) @ ( s @ X1 @ X59 ) ) ) )
           => ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X1 @ tyop_2Emin_2Ebool ) @ X31 ) @ ( s @ X1 @ X59 ) ) ) ) )
       => ( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2EquantHeuristics_2EGUESS__FORALL__POINT_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X2 @ X1 ) @ X30 ) @ ( s @ ( tyop_2Emin_2Efun @ X1 @ tyop_2Emin_2Ebool ) @ X31 ) ) ) )
         => ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2EquantHeuristics_2EGUESS__FORALL__POINT_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X2 @ X1 ) @ X30 ) @ ( s @ ( tyop_2Emin_2Efun @ X1 @ tyop_2Emin_2Ebool ) @ X58 ) ) ) ) ) ),
    inference(assume_negation,[status(cth)],[thm_2EquantHeuristics_2EGUESS__RULES__WEAKEN__FORALL__POINT]) ).

thf(c_0_4,plain,
    ! [X146: d,X147: d,X148: u,X149: u,X150: u,X152: d,X153: d,X154: u,X155: u,X157: u,X158: d,X159: d,X160: u,X161: u,X162: u,X164: d,X165: d,X166: u,X167: u,X169: u,X170: d,X171: d,X172: u,X173: u,X174: u,X175: d,X176: d,X177: u,X178: u,X180: d,X181: d,X182: u,X183: u,X184: u,X185: d,X186: d,X187: u,X188: u,X190: d,X191: d,X192: u,X193: u,X194: u,X196: d,X197: d,X198: u,X199: u,X201: u,X202: d,X203: d,X204: u,X205: u,X206: u,X208: d,X209: d,X210: u,X211: u,X213: u] :
      ( ( ~ ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2EquantHeuristics_2EGUESS__EXISTS_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X146 @ X147 ) @ X148 ) @ ( s @ ( tyop_2Emin_2Efun @ X147 @ tyop_2Emin_2Ebool ) @ X149 ) ) ) )
        | ~ ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X147 @ tyop_2Emin_2Ebool ) @ X149 ) @ ( s @ X147 @ X150 ) ) ) )
        | ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X147 @ tyop_2Emin_2Ebool ) @ X149 ) @ ( s @ X147 @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X146 @ X147 ) @ X148 ) @ ( s @ X146 @ ( esk7_4 @ X146 @ X147 @ X148 @ X149 ) ) ) ) ) ) ) )
      & ( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X153 @ tyop_2Emin_2Ebool ) @ X155 ) @ ( s @ X153 @ ( esk8_4 @ X152 @ X153 @ X154 @ X155 ) ) ) ) )
        | ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2EquantHeuristics_2EGUESS__EXISTS_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X152 @ X153 ) @ X154 ) @ ( s @ ( tyop_2Emin_2Efun @ X153 @ tyop_2Emin_2Ebool ) @ X155 ) ) ) ) )
      & ( ~ ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X153 @ tyop_2Emin_2Ebool ) @ X155 ) @ ( s @ X153 @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X152 @ X153 ) @ X154 ) @ ( s @ X152 @ X157 ) ) ) ) ) )
        | ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2EquantHeuristics_2EGUESS__EXISTS_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X152 @ X153 ) @ X154 ) @ ( s @ ( tyop_2Emin_2Efun @ X153 @ tyop_2Emin_2Ebool ) @ X155 ) ) ) ) )
      & ( ~ ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2EquantHeuristics_2EGUESS__FORALL_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X158 @ X159 ) @ X160 ) @ ( s @ ( tyop_2Emin_2Efun @ X159 @ tyop_2Emin_2Ebool ) @ X161 ) ) ) )
        | ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X159 @ tyop_2Emin_2Ebool ) @ X161 ) @ ( s @ X159 @ X162 ) ) ) )
        | ~ ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X159 @ tyop_2Emin_2Ebool ) @ X161 ) @ ( s @ X159 @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X158 @ X159 ) @ X160 ) @ ( s @ X158 @ ( esk9_4 @ X158 @ X159 @ X160 @ X161 ) ) ) ) ) ) ) )
      & ( ~ ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X165 @ tyop_2Emin_2Ebool ) @ X167 ) @ ( s @ X165 @ ( esk10_4 @ X164 @ X165 @ X166 @ X167 ) ) ) ) )
        | ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2EquantHeuristics_2EGUESS__FORALL_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X164 @ X165 ) @ X166 ) @ ( s @ ( tyop_2Emin_2Efun @ X165 @ tyop_2Emin_2Ebool ) @ X167 ) ) ) ) )
      & ( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X165 @ tyop_2Emin_2Ebool ) @ X167 ) @ ( s @ X165 @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X164 @ X165 ) @ X166 ) @ ( s @ X164 @ X169 ) ) ) ) ) )
        | ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2EquantHeuristics_2EGUESS__FORALL_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X164 @ X165 ) @ X166 ) @ ( s @ ( tyop_2Emin_2Efun @ X165 @ tyop_2Emin_2Ebool ) @ X167 ) ) ) ) )
      & ( ~ ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2EquantHeuristics_2EGUESS__EXISTS__POINT_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X170 @ X171 ) @ X172 ) @ ( s @ ( tyop_2Emin_2Efun @ X171 @ tyop_2Emin_2Ebool ) @ X173 ) ) ) )
        | ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X171 @ tyop_2Emin_2Ebool ) @ X173 ) @ ( s @ X171 @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X170 @ X171 ) @ X172 ) @ ( s @ X170 @ X174 ) ) ) ) ) ) )
      & ( ~ ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X176 @ tyop_2Emin_2Ebool ) @ X178 ) @ ( s @ X176 @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X175 @ X176 ) @ X177 ) @ ( s @ X175 @ ( esk11_4 @ X175 @ X176 @ X177 @ X178 ) ) ) ) ) ) )
        | ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2EquantHeuristics_2EGUESS__EXISTS__POINT_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X175 @ X176 ) @ X177 ) @ ( s @ ( tyop_2Emin_2Efun @ X176 @ tyop_2Emin_2Ebool ) @ X178 ) ) ) ) )
      & ( ~ ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2EquantHeuristics_2EGUESS__FORALL__POINT_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X180 @ X181 ) @ X182 ) @ ( s @ ( tyop_2Emin_2Efun @ X181 @ tyop_2Emin_2Ebool ) @ X183 ) ) ) )
        | ~ ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X181 @ tyop_2Emin_2Ebool ) @ X183 ) @ ( s @ X181 @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X180 @ X181 ) @ X182 ) @ ( s @ X180 @ X184 ) ) ) ) ) ) )
      & ( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X186 @ tyop_2Emin_2Ebool ) @ X188 ) @ ( s @ X186 @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X185 @ X186 ) @ X187 ) @ ( s @ X185 @ ( esk12_4 @ X185 @ X186 @ X187 @ X188 ) ) ) ) ) ) )
        | ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2EquantHeuristics_2EGUESS__FORALL__POINT_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X185 @ X186 ) @ X187 ) @ ( s @ ( tyop_2Emin_2Efun @ X186 @ tyop_2Emin_2Ebool ) @ X188 ) ) ) ) )
      & ( ~ ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2EquantHeuristics_2EGUESS__EXISTS__GAP_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X190 @ X191 ) @ X192 ) @ ( s @ ( tyop_2Emin_2Efun @ X191 @ tyop_2Emin_2Ebool ) @ X193 ) ) ) )
        | ~ ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X191 @ tyop_2Emin_2Ebool ) @ X193 ) @ ( s @ X191 @ X194 ) ) ) )
        | ( ( s @ X191 @ X194 )
          = ( s @ X191 @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X190 @ X191 ) @ X192 ) @ ( s @ X190 @ ( esk13_5 @ X190 @ X191 @ X192 @ X193 @ X194 ) ) ) ) ) )
      & ( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X197 @ tyop_2Emin_2Ebool ) @ X199 ) @ ( s @ X197 @ ( esk14_4 @ X196 @ X197 @ X198 @ X199 ) ) ) ) )
        | ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2EquantHeuristics_2EGUESS__EXISTS__GAP_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X196 @ X197 ) @ X198 ) @ ( s @ ( tyop_2Emin_2Efun @ X197 @ tyop_2Emin_2Ebool ) @ X199 ) ) ) ) )
      & ( ( ( s @ X197 @ ( esk14_4 @ X196 @ X197 @ X198 @ X199 ) )
         != ( s @ X197 @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X196 @ X197 ) @ X198 ) @ ( s @ X196 @ X201 ) ) ) )
        | ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2EquantHeuristics_2EGUESS__EXISTS__GAP_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X196 @ X197 ) @ X198 ) @ ( s @ ( tyop_2Emin_2Efun @ X197 @ tyop_2Emin_2Ebool ) @ X199 ) ) ) ) )
      & ( ~ ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2EquantHeuristics_2EGUESS__FORALL__GAP_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X202 @ X203 ) @ X204 ) @ ( s @ ( tyop_2Emin_2Efun @ X203 @ tyop_2Emin_2Ebool ) @ X205 ) ) ) )
        | ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X203 @ tyop_2Emin_2Ebool ) @ X205 ) @ ( s @ X203 @ X206 ) ) ) )
        | ( ( s @ X203 @ X206 )
          = ( s @ X203 @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X202 @ X203 ) @ X204 ) @ ( s @ X202 @ ( esk15_5 @ X202 @ X203 @ X204 @ X205 @ X206 ) ) ) ) ) )
      & ( ~ ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X209 @ tyop_2Emin_2Ebool ) @ X211 ) @ ( s @ X209 @ ( esk16_4 @ X208 @ X209 @ X210 @ X211 ) ) ) ) )
        | ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2EquantHeuristics_2EGUESS__FORALL__GAP_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X208 @ X209 ) @ X210 ) @ ( s @ ( tyop_2Emin_2Efun @ X209 @ tyop_2Emin_2Ebool ) @ X211 ) ) ) ) )
      & ( ( ( s @ X209 @ ( esk16_4 @ X208 @ X209 @ X210 @ X211 ) )
         != ( s @ X209 @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X208 @ X209 ) @ X210 ) @ ( s @ X208 @ X213 ) ) ) )
        | ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2EquantHeuristics_2EGUESS__FORALL__GAP_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X208 @ X209 ) @ X210 ) @ ( s @ ( tyop_2Emin_2Efun @ X209 @ tyop_2Emin_2Ebool ) @ X211 ) ) ) ) ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[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)],[c_0_2])])])])])])]) ).

thf(c_0_5,negated_conjecture,
    ! [X129: u] :
      ( ( ~ ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ esk1_0 @ tyop_2Emin_2Ebool ) @ esk5_0 ) @ ( s @ esk1_0 @ X129 ) ) ) )
        | ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ esk1_0 @ tyop_2Emin_2Ebool ) @ esk4_0 ) @ ( s @ esk1_0 @ X129 ) ) ) ) )
      & ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2EquantHeuristics_2EGUESS__FORALL__POINT_2E2 @ ( s @ ( tyop_2Emin_2Efun @ esk2_0 @ esk1_0 ) @ esk3_0 ) @ ( s @ ( tyop_2Emin_2Efun @ esk1_0 @ tyop_2Emin_2Ebool ) @ esk4_0 ) ) ) )
      & ~ ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2EquantHeuristics_2EGUESS__FORALL__POINT_2E2 @ ( s @ ( tyop_2Emin_2Efun @ esk2_0 @ esk1_0 ) @ esk3_0 ) @ ( s @ ( tyop_2Emin_2Efun @ esk1_0 @ tyop_2Emin_2Ebool ) @ esk5_0 ) ) ) ) ),
    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_3])])])])]) ).

thf(c_0_6,plain,
    ! [X1: d,X3: u,X2: d,X4: u,X5: u] :
      ( ~ ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2EquantHeuristics_2EGUESS__FORALL__POINT_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X1 @ X2 ) @ X3 ) @ ( s @ ( tyop_2Emin_2Efun @ X2 @ tyop_2Emin_2Ebool ) @ X4 ) ) ) )
      | ~ ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X2 @ tyop_2Emin_2Ebool ) @ X4 ) @ ( s @ X2 @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X1 @ X2 ) @ X3 ) @ ( s @ X1 @ X5 ) ) ) ) ) ) ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

thf(c_0_7,negated_conjecture,
    j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2EquantHeuristics_2EGUESS__FORALL__POINT_2E2 @ ( s @ ( tyop_2Emin_2Efun @ esk2_0 @ esk1_0 ) @ esk3_0 ) @ ( s @ ( tyop_2Emin_2Efun @ esk1_0 @ tyop_2Emin_2Ebool ) @ esk4_0 ) ) ),
    inference(split_conjunct,[status(thm)],[c_0_5]) ).

thf(c_0_8,negated_conjecture,
    ! [X3: u] :
      ( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ esk1_0 @ tyop_2Emin_2Ebool ) @ esk4_0 ) @ ( s @ esk1_0 @ X3 ) ) ) )
      | ~ ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ esk1_0 @ tyop_2Emin_2Ebool ) @ esk5_0 ) @ ( s @ esk1_0 @ X3 ) ) ) ) ),
    inference(split_conjunct,[status(thm)],[c_0_5]) ).

thf(c_0_9,plain,
    ! [X1: d,X2: d,X4: u,X3: u] :
      ( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X1 @ tyop_2Emin_2Ebool ) @ X3 ) @ ( s @ X1 @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X2 @ X1 ) @ X4 ) @ ( s @ X2 @ ( esk12_4 @ X2 @ X1 @ X4 @ X3 ) ) ) ) ) ) )
      | ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2EquantHeuristics_2EGUESS__FORALL__POINT_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X2 @ X1 ) @ X4 ) @ ( s @ ( tyop_2Emin_2Efun @ X1 @ tyop_2Emin_2Ebool ) @ X3 ) ) ) ) ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

thf(c_0_10,negated_conjecture,
    ! [X3: u] :
      ~ ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ esk1_0 @ tyop_2Emin_2Ebool ) @ esk4_0 ) @ ( s @ esk1_0 @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ esk2_0 @ esk1_0 ) @ esk3_0 ) @ ( s @ esk2_0 @ X3 ) ) ) ) ) ),
    inference(spm,[status(thm)],[c_0_6,c_0_7]) ).

thf(c_0_11,negated_conjecture,
    ! [X1: d,X3: u] :
      ( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ esk1_0 @ tyop_2Emin_2Ebool ) @ esk4_0 ) @ ( s @ esk1_0 @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X1 @ esk1_0 ) @ X3 ) @ ( s @ X1 @ ( esk12_4 @ X1 @ esk1_0 @ X3 @ esk5_0 ) ) ) ) ) ) )
      | ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2EquantHeuristics_2EGUESS__FORALL__POINT_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X1 @ esk1_0 ) @ X3 ) @ ( s @ ( tyop_2Emin_2Efun @ esk1_0 @ tyop_2Emin_2Ebool ) @ esk5_0 ) ) ) ) ),
    inference(spm,[status(thm)],[c_0_8,c_0_9]) ).

thf(c_0_12,negated_conjecture,
    ~ ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2EquantHeuristics_2EGUESS__FORALL__POINT_2E2 @ ( s @ ( tyop_2Emin_2Efun @ esk2_0 @ esk1_0 ) @ esk3_0 ) @ ( s @ ( tyop_2Emin_2Efun @ esk1_0 @ tyop_2Emin_2Ebool ) @ esk5_0 ) ) ) ),
    inference(split_conjunct,[status(thm)],[c_0_5]) ).

thf(c_0_13,negated_conjecture,
    $false,
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_10,c_0_11]),c_0_12]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.12  % Problem    : ITP006^1 : TPTP v8.2.0. Bugfixed v7.5.0.
% 0.08/0.13  % Command    : run_E %s %d THM
% 0.13/0.34  % Computer : n003.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit   : 300
% 0.13/0.34  % WCLimit    : 300
% 0.13/0.34  % DateTime   : Sat May 18 17:44:53 EDT 2024
% 0.13/0.34  % CPUTime    : 
% 0.20/0.47  Running higher-order theorem proving
% 0.20/0.47  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/benchmark/theBenchmark.p
% 0.20/0.51  # Version: 3.1.0-ho
% 0.20/0.51  # Preprocessing class: HSLSSLSMSSSNSFA.
% 0.20/0.51  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.20/0.51  # Starting additional_ho_4 with 1500s (5) cores
% 0.20/0.51  # Starting pre_casc_8 with 300s (1) cores
% 0.20/0.51  # Starting pre_casc_5 with 300s (1) cores
% 0.20/0.51  # Starting pre_casc_6 with 300s (1) cores
% 0.20/0.51  # additional_ho_4 with pid 3656 completed with status 0
% 0.20/0.51  # Result found by additional_ho_4
% 0.20/0.51  # Preprocessing class: HSLSSLSMSSSNSFA.
% 0.20/0.51  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.20/0.51  # Starting additional_ho_4 with 1500s (5) cores
% 0.20/0.51  # SinE strategy is GSinE(CountFormulas,hypos,4.0,,6,20000,1.0)
% 0.20/0.51  # Search class: HGHSF-FFMF33-DSFFFFNN
% 0.20/0.51  # partial match(4): FGHSF-FFMF31-SFFFFFNN
% 0.20/0.51  # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 0.20/0.51  # Starting G-E--_107_C41_F1_PI_AE_Q4_CS_SP_PS_S2U with 756s (1) cores
% 0.20/0.51  # Starting additional_ho_4 with 151s (1) cores
% 0.20/0.51  # Starting new_bool_3 with 162s (1) cores
% 0.20/0.51  # Starting new_bool_1 with 158s (1) cores
% 0.20/0.51  # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 136s (1) cores
% 0.20/0.51  # additional_ho_4 with pid 3662 completed with status 0
% 0.20/0.51  # Result found by additional_ho_4
% 0.20/0.51  # Preprocessing class: HSLSSLSMSSSNSFA.
% 0.20/0.51  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.20/0.51  # Starting additional_ho_4 with 1500s (5) cores
% 0.20/0.51  # SinE strategy is GSinE(CountFormulas,hypos,4.0,,6,20000,1.0)
% 0.20/0.51  # Search class: HGHSF-FFMF33-DSFFFFNN
% 0.20/0.51  # partial match(4): FGHSF-FFMF31-SFFFFFNN
% 0.20/0.51  # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 0.20/0.51  # Starting G-E--_107_C41_F1_PI_AE_Q4_CS_SP_PS_S2U with 756s (1) cores
% 0.20/0.51  # Starting additional_ho_4 with 151s (1) cores
% 0.20/0.51  # Preprocessing time       : 0.004 s
% 0.20/0.51  # Presaturation interreduction done
% 0.20/0.51  
% 0.20/0.51  # Proof found!
% 0.20/0.51  # SZS status Theorem
% 0.20/0.51  # SZS output start CNFRefutation
% See solution above
% 0.20/0.51  # Parsed axioms                        : 103
% 0.20/0.51  # Removed by relevancy pruning/SinE    : 92
% 0.20/0.51  # Initial clauses                      : 36
% 0.20/0.51  # Removed in clause preprocessing      : 2
% 0.20/0.51  # Initial clauses in saturation        : 34
% 0.20/0.51  # Processed clauses                    : 69
% 0.20/0.51  # ...of these trivial                  : 0
% 0.20/0.51  # ...subsumed                          : 3
% 0.20/0.51  # ...remaining for further processing  : 66
% 0.20/0.51  # Other redundant clauses eliminated   : 0
% 0.20/0.51  # Clauses deleted for lack of memory   : 0
% 0.20/0.51  # Backward-subsumed                    : 0
% 0.20/0.51  # Backward-rewritten                   : 0
% 0.20/0.51  # Generated clauses                    : 49
% 0.20/0.51  # ...of the previous two non-redundant : 46
% 0.20/0.51  # ...aggressively subsumed             : 0
% 0.20/0.51  # Contextual simplify-reflections      : 0
% 0.20/0.51  # Paramodulations                      : 48
% 0.20/0.51  # Factorizations                       : 0
% 0.20/0.51  # NegExts                              : 0
% 0.20/0.51  # Equation resolutions                 : 1
% 0.20/0.51  # Disequality decompositions           : 0
% 0.20/0.51  # Total rewrite steps                  : 1
% 0.20/0.51  # ...of those cached                   : 0
% 0.20/0.51  # Propositional unsat checks           : 0
% 0.20/0.51  #    Propositional check models        : 0
% 0.20/0.51  #    Propositional check unsatisfiable : 0
% 0.20/0.51  #    Propositional clauses             : 0
% 0.20/0.51  #    Propositional clauses after purity: 0
% 0.20/0.51  #    Propositional unsat core size     : 0
% 0.20/0.51  #    Propositional preprocessing time  : 0.000
% 0.20/0.51  #    Propositional encoding time       : 0.000
% 0.20/0.51  #    Propositional solver time         : 0.000
% 0.20/0.51  #    Success case prop preproc time    : 0.000
% 0.20/0.51  #    Success case prop encoding time   : 0.000
% 0.20/0.51  #    Success case prop solver time     : 0.000
% 0.20/0.51  # Current number of processed clauses  : 34
% 0.20/0.51  #    Positive orientable unit clauses  : 3
% 0.20/0.51  #    Positive unorientable unit clauses: 0
% 0.20/0.51  #    Negative unit clauses             : 2
% 0.20/0.51  #    Non-unit-clauses                  : 29
% 0.20/0.51  # Current number of unprocessed clauses: 41
% 0.20/0.51  # ...number of literals in the above   : 91
% 0.20/0.51  # Current number of archived formulas  : 0
% 0.20/0.51  # Current number of archived clauses   : 32
% 0.20/0.51  # Clause-clause subsumption calls (NU) : 257
% 0.20/0.51  # Rec. Clause-clause subsumption calls : 243
% 0.20/0.51  # Non-unit clause-clause subsumptions  : 3
% 0.20/0.51  # Unit Clause-clause subsumption calls : 5
% 0.20/0.51  # Rewrite failures with RHS unbound    : 0
% 0.20/0.51  # BW rewrite match attempts            : 7
% 0.20/0.51  # BW rewrite match successes           : 0
% 0.20/0.51  # Condensation attempts                : 0
% 0.20/0.51  # Condensation successes               : 0
% 0.20/0.51  # Termbank termtop insertions          : 12019
% 0.20/0.51  # Search garbage collected termcells   : 1804
% 0.20/0.51  
% 0.20/0.51  # -------------------------------------------------
% 0.20/0.51  # User time                : 0.016 s
% 0.20/0.51  # System time              : 0.004 s
% 0.20/0.51  # Total time               : 0.020 s
% 0.20/0.51  # Maximum resident set size: 2272 pages
% 0.20/0.51  
% 0.20/0.51  # -------------------------------------------------
% 0.20/0.51  # User time                : 0.058 s
% 0.20/0.51  # System time              : 0.020 s
% 0.20/0.51  # Total time               : 0.078 s
% 0.20/0.51  # Maximum resident set size: 1908 pages
% 0.20/0.51  % E---3.1 exiting
% 0.20/0.51  % E exiting
%------------------------------------------------------------------------------