TSTP Solution File: GEG011^1 by E---3.1.00

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E---3.1.00
% Problem  : GEG011^1 : TPTP v8.2.0. Released v4.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n014.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 19:56:53 EDT 2024

% Result   : Theorem 0.18s 0.50s
% Output   : CNFRefutation 0.18s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   22
%            Number of leaves      :   48
% Syntax   : Number of formulae    :  112 (  36 unt;  36 typ;   0 def)
%            Number of atoms       :  519 (  21 equ;   0 cnn)
%            Maximal formula atoms :   70 (   6 avg)
%            Number of connectives : 1593 ( 210   ~; 188   |; 128   &; 985   @)
%                                         (   1 <=>;  81  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   36 (   6 avg)
%            Number of types       :    3 (   1 usr)
%            Number of type conns  :   49 (  49   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   37 (  35 usr;  13 con; 0-3 aty)
%            Number of variables   :  239 (  45   ^ 157   !;  37   ?; 239   :)

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

thf(decl_37,type,
    mbox: ( $i > $i > $o ) > ( $i > $o ) > $i > $o ).

thf(decl_49,type,
    mvalid: ( $i > $o ) > $o ).

thf(decl_53,type,
    c: reg > reg > $o ).

thf(decl_55,type,
    p: reg > reg > $o ).

thf(decl_57,type,
    o: reg > reg > $o ).

thf(decl_59,type,
    ec: reg > reg > $o ).

thf(decl_60,type,
    pp: reg > reg > $o ).

thf(decl_61,type,
    tpp: reg > reg > $o ).

thf(decl_62,type,
    ntpp: reg > reg > $o ).

thf(decl_63,type,
    catalunya: reg ).

thf(decl_64,type,
    france: reg ).

thf(decl_65,type,
    spain: reg ).

thf(decl_66,type,
    paris: reg ).

thf(decl_67,type,
    a: $i > $i > $o ).

thf(decl_69,type,
    epred1_1: reg > $o ).

thf(decl_73,type,
    esk4_0: reg ).

thf(decl_74,type,
    esk5_0: reg ).

thf(decl_75,type,
    esk6_1: reg > reg ).

thf(decl_76,type,
    esk7_1: reg > reg ).

thf(decl_77,type,
    esk8_1: reg > reg ).

thf(decl_78,type,
    esk9_1: reg > reg ).

thf(decl_81,type,
    esk12_0: reg ).

thf(decl_82,type,
    esk13_1: reg > reg ).

thf(decl_83,type,
    esk14_1: reg > reg ).

thf(decl_84,type,
    esk15_0: $i ).

thf(decl_85,type,
    esk16_0: $i ).

thf(decl_86,type,
    esk17_0: reg ).

thf(decl_87,type,
    esk18_0: reg ).

thf(decl_88,type,
    esk19_0: reg ).

thf(decl_89,type,
    esk20_1: reg > reg ).

thf(decl_90,type,
    esk21_2: reg > reg > reg ).

thf(decl_91,type,
    esk22_2: reg > reg > reg ).

thf(decl_92,type,
    esk23_1: reg > reg ).

thf(decl_93,type,
    esk24_2: reg > reg > reg ).

thf(decl_94,type,
    esk25_2: reg > reg > reg ).

thf(o,axiom,
    ( o
    = ( ^ [X28: reg,X29: reg] :
        ? [X25: reg] :
          ( ( p @ X25 @ X28 )
          & ( p @ X25 @ X29 ) ) ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/LCL014^0.ax',o) ).

thf(p,axiom,
    ( p
    = ( ^ [X23: reg,X24: reg] :
        ! [X25: reg] :
          ( ( c @ X25 @ X23 )
         => ( c @ X25 @ X24 ) ) ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/LCL014^0.ax',p) ).

thf(ec,axiom,
    ( ec
    = ( ^ [X32: reg,X33: reg] :
          ( ( c @ X32 @ X33 )
          & ~ ( o @ X32 @ X33 ) ) ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/LCL014^0.ax',ec) ).

thf(pp,axiom,
    ( pp
    = ( ^ [X34: reg,X35: reg] :
          ( ( p @ X34 @ X35 )
          & ~ ( p @ X35 @ X34 ) ) ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/LCL014^0.ax',pp) ).

thf(ntpp,axiom,
    ( ntpp
    = ( ^ [X38: reg,X39: reg] :
          ( ( pp @ X38 @ X39 )
          & ~ ? [X25: reg] :
                ( ( ec @ X25 @ X38 )
                & ( ec @ X25 @ X39 ) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/LCL014^0.ax',ntpp) ).

thf(mbox,axiom,
    ( mbox
    = ( ^ [X13: $i > $i > $o,X6: $i > $o,X3: $i] :
        ! [X14: $i] :
          ( ~ ( X13 @ X3 @ X14 )
          | ( X6 @ X14 ) ) ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/LCL013^0.ax',mbox) ).

thf(mvalid,axiom,
    ( mvalid
    = ( ^ [X6: $i > $o] :
        ! [X3: $i] : ( X6 @ X3 ) ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/LCL013^0.ax',mvalid) ).

thf(tpp,axiom,
    ( tpp
    = ( ^ [X36: reg,X37: reg] :
          ( ( pp @ X36 @ X37 )
          & ? [X25: reg] :
              ( ( ec @ X25 @ X36 )
              & ( ec @ X25 @ X37 ) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/LCL014^0.ax',tpp) ).

thf(ax3,axiom,
    ( mvalid
    @ ( mbox @ a
      @ ^ [X43: $i] : ( ntpp @ paris @ france ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax3) ).

thf(con,conjecture,
    ( mvalid
    @ ( mbox @ a
      @ ^ [X44: $i] :
        ! [X25: reg] :
          ( ( ( ntpp @ france @ X25 )
            & ( ntpp @ spain @ X25 ) )
         => ( ( pp @ paris @ X25 )
            & ( pp @ catalunya @ X25 ) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',con) ).

thf(ax1,axiom,
    ( mvalid
    @ ( mbox @ a
      @ ^ [X41: $i] : ( tpp @ catalunya @ spain ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax1) ).

thf(c_0_11,plain,
    ( o
    = ( ^ [Z0: reg,Z1: reg] :
        ? [X25: reg] :
          ( ! [X53: reg] :
              ( ( c @ X53 @ X25 )
             => ( c @ X53 @ Z0 ) )
          & ! [X54: reg] :
              ( ( c @ X54 @ X25 )
             => ( c @ X54 @ Z1 ) ) ) ) ),
    inference(fof_simplification,[status(thm)],[o]) ).

thf(c_0_12,plain,
    ( p
    = ( ^ [Z0: reg,Z1: reg] :
        ! [X25: reg] :
          ( ( c @ X25 @ Z0 )
         => ( c @ X25 @ Z1 ) ) ) ),
    inference(fof_simplification,[status(thm)],[p]) ).

thf(c_0_13,plain,
    ( ec
    = ( ^ [Z0: reg,Z1: reg] :
          ( ( c @ Z0 @ Z1 )
          & ~ ? [X60: reg] :
                ( ! [X61: reg] :
                    ( ( c @ X61 @ X60 )
                   => ( c @ X61 @ Z0 ) )
                & ! [X62: reg] :
                    ( ( c @ X62 @ X60 )
                   => ( c @ X62 @ Z1 ) ) ) ) ) ),
    inference(fof_simplification,[status(thm)],[ec]) ).

thf(c_0_14,plain,
    ( o
    = ( ^ [Z0: reg,Z1: reg] :
        ? [X25: reg] :
          ( ! [X53: reg] :
              ( ( c @ X53 @ X25 )
             => ( c @ X53 @ Z0 ) )
          & ! [X54: reg] :
              ( ( c @ X54 @ X25 )
             => ( c @ X54 @ Z1 ) ) ) ) ),
    inference(apply_def,[status(thm)],[c_0_11,c_0_12]) ).

thf(c_0_15,plain,
    ( pp
    = ( ^ [Z0: reg,Z1: reg] :
          ( ! [X63: reg] :
              ( ( c @ X63 @ Z0 )
             => ( c @ X63 @ Z1 ) )
          & ~ ! [X64: reg] :
                ( ( c @ X64 @ Z1 )
               => ( c @ X64 @ Z0 ) ) ) ) ),
    inference(fof_simplification,[status(thm)],[pp]) ).

thf(c_0_16,plain,
    ( ntpp
    = ( ^ [Z0: reg,Z1: reg] :
          ( ! [X73: reg] :
              ( ( c @ X73 @ Z0 )
             => ( c @ X73 @ Z1 ) )
          & ~ ! [X74: reg] :
                ( ( c @ X74 @ Z1 )
               => ( c @ X74 @ Z0 ) )
          & ~ ? [X25: reg] :
                ( ( c @ X25 @ Z0 )
                & ~ ? [X75: reg] :
                      ( ! [X76: reg] :
                          ( ( c @ X76 @ X75 )
                         => ( c @ X76 @ X25 ) )
                      & ! [X77: reg] :
                          ( ( c @ X77 @ X75 )
                         => ( c @ X77 @ Z0 ) ) )
                & ( c @ X25 @ Z1 )
                & ~ ? [X78: reg] :
                      ( ! [X79: reg] :
                          ( ( c @ X79 @ X78 )
                         => ( c @ X79 @ X25 ) )
                      & ! [X80: reg] :
                          ( ( c @ X80 @ X78 )
                         => ( c @ X80 @ Z1 ) ) ) ) ) ) ),
    inference(fof_simplification,[status(thm)],[ntpp]) ).

thf(c_0_17,plain,
    ( ec
    = ( ^ [Z0: reg,Z1: reg] :
          ( ( c @ Z0 @ Z1 )
          & ~ ? [X60: reg] :
                ( ! [X61: reg] :
                    ( ( c @ X61 @ X60 )
                   => ( c @ X61 @ Z0 ) )
                & ! [X62: reg] :
                    ( ( c @ X62 @ X60 )
                   => ( c @ X62 @ Z1 ) ) ) ) ) ),
    inference(apply_def,[status(thm)],[c_0_13,c_0_14]) ).

thf(c_0_18,plain,
    ( pp
    = ( ^ [Z0: reg,Z1: reg] :
          ( ! [X63: reg] :
              ( ( c @ X63 @ Z0 )
             => ( c @ X63 @ Z1 ) )
          & ~ ! [X64: reg] :
                ( ( c @ X64 @ Z1 )
               => ( c @ X64 @ Z0 ) ) ) ) ),
    inference(apply_def,[status(thm)],[c_0_15,c_0_12]) ).

thf(c_0_19,plain,
    ( mbox
    = ( ^ [Z0: $i > $i > $o,Z1: $i > $o,Z2: $i] :
        ! [X14: $i] :
          ( ~ ( Z0 @ Z2 @ X14 )
          | ( Z1 @ X14 ) ) ) ),
    inference(fof_simplification,[status(thm)],[mbox]) ).

thf(c_0_20,plain,
    ( mvalid
    = ( ^ [Z0: $i > $o] :
        ! [X3: $i] : ( Z0 @ X3 ) ) ),
    inference(fof_simplification,[status(thm)],[mvalid]) ).

thf(c_0_21,plain,
    ( ntpp
    = ( ^ [Z0: reg,Z1: reg] :
          ( ! [X73: reg] :
              ( ( c @ X73 @ Z0 )
             => ( c @ X73 @ Z1 ) )
          & ~ ! [X74: reg] :
                ( ( c @ X74 @ Z1 )
               => ( c @ X74 @ Z0 ) )
          & ~ ? [X25: reg] :
                ( ( c @ X25 @ Z0 )
                & ~ ? [X75: reg] :
                      ( ! [X76: reg] :
                          ( ( c @ X76 @ X75 )
                         => ( c @ X76 @ X25 ) )
                      & ! [X77: reg] :
                          ( ( c @ X77 @ X75 )
                         => ( c @ X77 @ Z0 ) ) )
                & ( c @ X25 @ Z1 )
                & ~ ? [X78: reg] :
                      ( ! [X79: reg] :
                          ( ( c @ X79 @ X78 )
                         => ( c @ X79 @ X25 ) )
                      & ! [X80: reg] :
                          ( ( c @ X80 @ X78 )
                         => ( c @ X80 @ Z1 ) ) ) ) ) ) ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_16,c_0_17]),c_0_18]) ).

thf(c_0_22,plain,
    ! [X25: reg] :
      ( ( epred1_1 @ X25 )
    <=> ( ! [X120: reg] :
            ( ( c @ X120 @ france )
           => ( c @ X120 @ X25 ) )
        & ~ ! [X121: reg] :
              ( ( c @ X121 @ X25 )
             => ( c @ X121 @ france ) )
        & ~ ? [X122: reg] :
              ( ( c @ X122 @ france )
              & ~ ? [X123: reg] :
                    ( ! [X124: reg] :
                        ( ( c @ X124 @ X123 )
                       => ( c @ X124 @ X122 ) )
                    & ! [X125: reg] :
                        ( ( c @ X125 @ X123 )
                       => ( c @ X125 @ france ) ) )
              & ( c @ X122 @ X25 )
              & ~ ? [X126: reg] :
                    ( ! [X127: reg] :
                        ( ( c @ X127 @ X126 )
                       => ( c @ X127 @ X122 ) )
                    & ! [X128: reg] :
                        ( ( c @ X128 @ X126 )
                       => ( c @ X128 @ X25 ) ) ) )
        & ! [X129: reg] :
            ( ( c @ X129 @ spain )
           => ( c @ X129 @ X25 ) )
        & ~ ! [X130: reg] :
              ( ( c @ X130 @ X25 )
             => ( c @ X130 @ spain ) )
        & ~ ? [X131: reg] :
              ( ( c @ X131 @ spain )
              & ~ ? [X132: reg] :
                    ( ! [X133: reg] :
                        ( ( c @ X133 @ X132 )
                       => ( c @ X133 @ X131 ) )
                    & ! [X134: reg] :
                        ( ( c @ X134 @ X132 )
                       => ( c @ X134 @ spain ) ) )
              & ( c @ X131 @ X25 )
              & ~ ? [X135: reg] :
                    ( ! [X136: reg] :
                        ( ( c @ X136 @ X135 )
                       => ( c @ X136 @ X131 ) )
                    & ! [X137: reg] :
                        ( ( c @ X137 @ X135 )
                       => ( c @ X137 @ X25 ) ) ) ) ) ),
    introduced(definition) ).

thf(c_0_23,plain,
    ( tpp
    = ( ^ [Z0: reg,Z1: reg] :
          ( ! [X65: reg] :
              ( ( c @ X65 @ Z0 )
             => ( c @ X65 @ Z1 ) )
          & ~ ! [X66: reg] :
                ( ( c @ X66 @ Z1 )
               => ( c @ X66 @ Z0 ) )
          & ? [X25: reg] :
              ( ( c @ X25 @ Z0 )
              & ~ ? [X67: reg] :
                    ( ! [X68: reg] :
                        ( ( c @ X68 @ X67 )
                       => ( c @ X68 @ X25 ) )
                    & ! [X69: reg] :
                        ( ( c @ X69 @ X67 )
                       => ( c @ X69 @ Z0 ) ) )
              & ( c @ X25 @ Z1 )
              & ~ ? [X70: reg] :
                    ( ! [X71: reg] :
                        ( ( c @ X71 @ X70 )
                       => ( c @ X71 @ X25 ) )
                    & ! [X72: reg] :
                        ( ( c @ X72 @ X70 )
                       => ( c @ X72 @ Z1 ) ) ) ) ) ) ),
    inference(fof_simplification,[status(thm)],[tpp]) ).

thf(c_0_24,plain,
    ! [X119: $i,X118: $i] :
      ( ~ ( a @ X119 @ X118 )
      | ( ! [X109: reg] :
            ( ( c @ X109 @ paris )
           => ( c @ X109 @ france ) )
        & ~ ! [X110: reg] :
              ( ( c @ X110 @ france )
             => ( c @ X110 @ paris ) )
        & ~ ? [X111: reg] :
              ( ( c @ X111 @ paris )
              & ~ ? [X112: reg] :
                    ( ! [X113: reg] :
                        ( ( c @ X113 @ X112 )
                       => ( c @ X113 @ X111 ) )
                    & ! [X114: reg] :
                        ( ( c @ X114 @ X112 )
                       => ( c @ X114 @ paris ) ) )
              & ( c @ X111 @ france )
              & ~ ? [X115: reg] :
                    ( ! [X116: reg] :
                        ( ( c @ X116 @ X115 )
                       => ( c @ X116 @ X111 ) )
                    & ! [X117: reg] :
                        ( ( c @ X117 @ X115 )
                       => ( c @ X117 @ france ) ) ) ) ) ),
    inference(fof_simplification,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(fof_simplification,[status(thm)],[ax3]),c_0_19]),c_0_20]),c_0_21])]) ).

thf(c_0_25,negated_conjecture,
    ~ ! [X143: $i,X142: $i] :
        ( ~ ( a @ X143 @ X142 )
        | ! [X25: reg] :
            ( ( epred1_1 @ X25 )
           => ( ! [X138: reg] :
                  ( ( c @ X138 @ paris )
                 => ( c @ X138 @ X25 ) )
              & ~ ! [X139: reg] :
                    ( ( c @ X139 @ X25 )
                   => ( c @ X139 @ paris ) )
              & ! [X140: reg] :
                  ( ( c @ X140 @ catalunya )
                 => ( c @ X140 @ X25 ) )
              & ~ ! [X141: reg] :
                    ( ( c @ X141 @ X25 )
                   => ( c @ X141 @ catalunya ) ) ) ) ),
    inference(apply_def,[status(thm)],[inference(fof_simplification,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[con])]),c_0_19]),c_0_20]),c_0_18]),c_0_21])]),c_0_22]) ).

thf(c_0_26,plain,
    ( tpp
    = ( ^ [Z0: reg,Z1: reg] :
          ( ! [X65: reg] :
              ( ( c @ X65 @ Z0 )
             => ( c @ X65 @ Z1 ) )
          & ~ ! [X66: reg] :
                ( ( c @ X66 @ Z1 )
               => ( c @ X66 @ Z0 ) )
          & ? [X25: reg] :
              ( ( c @ X25 @ Z0 )
              & ~ ? [X67: reg] :
                    ( ! [X68: reg] :
                        ( ( c @ X68 @ X67 )
                       => ( c @ X68 @ X25 ) )
                    & ! [X69: reg] :
                        ( ( c @ X69 @ X67 )
                       => ( c @ X69 @ Z0 ) ) )
              & ( c @ X25 @ Z1 )
              & ~ ? [X70: reg] :
                    ( ! [X71: reg] :
                        ( ( c @ X71 @ X70 )
                       => ( c @ X71 @ X25 ) )
                    & ! [X72: reg] :
                        ( ( c @ X72 @ X70 )
                       => ( c @ X72 @ Z1 ) ) ) ) ) ) ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_23,c_0_17]),c_0_18]) ).

thf(c_0_27,plain,
    ! [X25: reg] :
      ( ( epred1_1 @ X25 )
     => ( ! [X120: reg] :
            ( ( c @ X120 @ france )
           => ( c @ X120 @ X25 ) )
        & ~ ! [X121: reg] :
              ( ( c @ X121 @ X25 )
             => ( c @ X121 @ france ) )
        & ~ ? [X122: reg] :
              ( ( c @ X122 @ france )
              & ~ ? [X123: reg] :
                    ( ! [X124: reg] :
                        ( ( c @ X124 @ X123 )
                       => ( c @ X124 @ X122 ) )
                    & ! [X125: reg] :
                        ( ( c @ X125 @ X123 )
                       => ( c @ X125 @ france ) ) )
              & ( c @ X122 @ X25 )
              & ~ ? [X126: reg] :
                    ( ! [X127: reg] :
                        ( ( c @ X127 @ X126 )
                       => ( c @ X127 @ X122 ) )
                    & ! [X128: reg] :
                        ( ( c @ X128 @ X126 )
                       => ( c @ X128 @ X25 ) ) ) )
        & ! [X129: reg] :
            ( ( c @ X129 @ spain )
           => ( c @ X129 @ X25 ) )
        & ~ ! [X130: reg] :
              ( ( c @ X130 @ X25 )
             => ( c @ X130 @ spain ) )
        & ~ ? [X131: reg] :
              ( ( c @ X131 @ spain )
              & ~ ? [X132: reg] :
                    ( ! [X133: reg] :
                        ( ( c @ X133 @ X132 )
                       => ( c @ X133 @ X131 ) )
                    & ! [X134: reg] :
                        ( ( c @ X134 @ X132 )
                       => ( c @ X134 @ spain ) ) )
              & ( c @ X131 @ X25 )
              & ~ ? [X135: reg] :
                    ( ! [X136: reg] :
                        ( ( c @ X136 @ X135 )
                       => ( c @ X136 @ X131 ) )
                    & ! [X137: reg] :
                        ( ( c @ X137 @ X135 )
                       => ( c @ X137 @ X25 ) ) ) ) ) ),
    inference(split_equiv,[status(thm)],[c_0_22]) ).

thf(c_0_28,plain,
    ! [X175: $i,X176: $i,X177: reg,X179: reg,X181: reg,X182: reg,X184: reg,X185: reg] :
      ( ( ~ ( c @ X177 @ paris )
        | ( c @ X177 @ france )
        | ~ ( a @ X175 @ X176 ) )
      & ( ( c @ esk12_0 @ france )
        | ~ ( a @ X175 @ X176 ) )
      & ( ~ ( c @ esk12_0 @ paris )
        | ~ ( a @ X175 @ X176 ) )
      & ( ~ ( c @ X184 @ ( esk14_1 @ X179 ) )
        | ( c @ X184 @ X179 )
        | ~ ( c @ X179 @ france )
        | ~ ( c @ X181 @ ( esk13_1 @ X179 ) )
        | ( c @ X181 @ X179 )
        | ~ ( c @ X179 @ paris )
        | ~ ( a @ X175 @ X176 ) )
      & ( ~ ( c @ X185 @ ( esk14_1 @ X179 ) )
        | ( c @ X185 @ france )
        | ~ ( c @ X179 @ france )
        | ~ ( c @ X181 @ ( esk13_1 @ X179 ) )
        | ( c @ X181 @ X179 )
        | ~ ( c @ X179 @ paris )
        | ~ ( a @ X175 @ X176 ) )
      & ( ~ ( c @ X184 @ ( esk14_1 @ X179 ) )
        | ( c @ X184 @ X179 )
        | ~ ( c @ X179 @ france )
        | ~ ( c @ X182 @ ( esk13_1 @ X179 ) )
        | ( c @ X182 @ paris )
        | ~ ( c @ X179 @ paris )
        | ~ ( a @ X175 @ X176 ) )
      & ( ~ ( c @ X185 @ ( esk14_1 @ X179 ) )
        | ( c @ X185 @ france )
        | ~ ( c @ X179 @ france )
        | ~ ( c @ X182 @ ( esk13_1 @ X179 ) )
        | ( c @ X182 @ paris )
        | ~ ( c @ X179 @ paris )
        | ~ ( a @ X175 @ X176 ) ) ),
    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_24])])])])])])]) ).

thf(c_0_29,negated_conjecture,
    ! [X190: reg,X192: reg] :
      ( ( a @ esk15_0 @ esk16_0 )
      & ( epred1_1 @ esk17_0 )
      & ( ( c @ esk19_0 @ catalunya )
        | ~ ( c @ X192 @ esk17_0 )
        | ( c @ X192 @ catalunya )
        | ( c @ esk18_0 @ paris )
        | ~ ( c @ X190 @ esk17_0 )
        | ( c @ X190 @ paris ) )
      & ( ~ ( c @ esk19_0 @ esk17_0 )
        | ~ ( c @ X192 @ esk17_0 )
        | ( c @ X192 @ catalunya )
        | ( c @ esk18_0 @ paris )
        | ~ ( c @ X190 @ esk17_0 )
        | ( c @ X190 @ paris ) )
      & ( ( c @ esk19_0 @ catalunya )
        | ~ ( c @ X192 @ esk17_0 )
        | ( c @ X192 @ catalunya )
        | ~ ( c @ esk18_0 @ esk17_0 )
        | ~ ( c @ X190 @ esk17_0 )
        | ( c @ X190 @ paris ) )
      & ( ~ ( c @ esk19_0 @ esk17_0 )
        | ~ ( c @ X192 @ esk17_0 )
        | ( c @ X192 @ catalunya )
        | ~ ( c @ esk18_0 @ esk17_0 )
        | ~ ( c @ X190 @ esk17_0 )
        | ( c @ X190 @ paris ) ) ),
    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_25])])])])])]) ).

thf(c_0_30,plain,
    ! [X103: $i,X102: $i] :
      ( ~ ( a @ X103 @ X102 )
      | ( ! [X93: reg] :
            ( ( c @ X93 @ catalunya )
           => ( c @ X93 @ spain ) )
        & ~ ! [X94: reg] :
              ( ( c @ X94 @ spain )
             => ( c @ X94 @ catalunya ) )
        & ? [X95: reg] :
            ( ( c @ X95 @ catalunya )
            & ~ ? [X96: reg] :
                  ( ! [X97: reg] :
                      ( ( c @ X97 @ X96 )
                     => ( c @ X97 @ X95 ) )
                  & ! [X98: reg] :
                      ( ( c @ X98 @ X96 )
                     => ( c @ X98 @ catalunya ) ) )
            & ( c @ X95 @ spain )
            & ~ ? [X99: reg] :
                  ( ! [X100: reg] :
                      ( ( c @ X100 @ X99 )
                     => ( c @ X100 @ X95 ) )
                  & ! [X101: reg] :
                      ( ( c @ X101 @ X99 )
                     => ( c @ X101 @ spain ) ) ) ) ) ),
    inference(fof_simplification,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(fof_simplification,[status(thm)],[ax1]),c_0_19]),c_0_20]),c_0_26])]) ).

thf(c_0_31,plain,
    ! [X193: reg,X194: reg,X196: reg,X198: reg,X199: reg,X201: reg,X202: reg,X203: reg,X205: reg,X207: reg,X208: reg,X210: reg,X211: reg] :
      ( ( ~ ( c @ X194 @ france )
        | ( c @ X194 @ X193 )
        | ~ ( epred1_1 @ X193 ) )
      & ( ( c @ ( esk20_1 @ X193 ) @ X193 )
        | ~ ( epred1_1 @ X193 ) )
      & ( ~ ( c @ ( esk20_1 @ X193 ) @ france )
        | ~ ( epred1_1 @ X193 ) )
      & ( ~ ( c @ X201 @ ( esk22_2 @ X193 @ X196 ) )
        | ( c @ X201 @ X196 )
        | ~ ( c @ X196 @ X193 )
        | ~ ( c @ X198 @ ( esk21_2 @ X193 @ X196 ) )
        | ( c @ X198 @ X196 )
        | ~ ( c @ X196 @ france )
        | ~ ( epred1_1 @ X193 ) )
      & ( ~ ( c @ X202 @ ( esk22_2 @ X193 @ X196 ) )
        | ( c @ X202 @ X193 )
        | ~ ( c @ X196 @ X193 )
        | ~ ( c @ X198 @ ( esk21_2 @ X193 @ X196 ) )
        | ( c @ X198 @ X196 )
        | ~ ( c @ X196 @ france )
        | ~ ( epred1_1 @ X193 ) )
      & ( ~ ( c @ X201 @ ( esk22_2 @ X193 @ X196 ) )
        | ( c @ X201 @ X196 )
        | ~ ( c @ X196 @ X193 )
        | ~ ( c @ X199 @ ( esk21_2 @ X193 @ X196 ) )
        | ( c @ X199 @ france )
        | ~ ( c @ X196 @ france )
        | ~ ( epred1_1 @ X193 ) )
      & ( ~ ( c @ X202 @ ( esk22_2 @ X193 @ X196 ) )
        | ( c @ X202 @ X193 )
        | ~ ( c @ X196 @ X193 )
        | ~ ( c @ X199 @ ( esk21_2 @ X193 @ X196 ) )
        | ( c @ X199 @ france )
        | ~ ( c @ X196 @ france )
        | ~ ( epred1_1 @ X193 ) )
      & ( ~ ( c @ X203 @ spain )
        | ( c @ X203 @ X193 )
        | ~ ( epred1_1 @ X193 ) )
      & ( ( c @ ( esk23_1 @ X193 ) @ X193 )
        | ~ ( epred1_1 @ X193 ) )
      & ( ~ ( c @ ( esk23_1 @ X193 ) @ spain )
        | ~ ( epred1_1 @ X193 ) )
      & ( ~ ( c @ X210 @ ( esk25_2 @ X193 @ X205 ) )
        | ( c @ X210 @ X205 )
        | ~ ( c @ X205 @ X193 )
        | ~ ( c @ X207 @ ( esk24_2 @ X193 @ X205 ) )
        | ( c @ X207 @ X205 )
        | ~ ( c @ X205 @ spain )
        | ~ ( epred1_1 @ X193 ) )
      & ( ~ ( c @ X211 @ ( esk25_2 @ X193 @ X205 ) )
        | ( c @ X211 @ X193 )
        | ~ ( c @ X205 @ X193 )
        | ~ ( c @ X207 @ ( esk24_2 @ X193 @ X205 ) )
        | ( c @ X207 @ X205 )
        | ~ ( c @ X205 @ spain )
        | ~ ( epred1_1 @ X193 ) )
      & ( ~ ( c @ X210 @ ( esk25_2 @ X193 @ X205 ) )
        | ( c @ X210 @ X205 )
        | ~ ( c @ X205 @ X193 )
        | ~ ( c @ X208 @ ( esk24_2 @ X193 @ X205 ) )
        | ( c @ X208 @ spain )
        | ~ ( c @ X205 @ spain )
        | ~ ( epred1_1 @ X193 ) )
      & ( ~ ( c @ X211 @ ( esk25_2 @ X193 @ X205 ) )
        | ( c @ X211 @ X193 )
        | ~ ( c @ X205 @ X193 )
        | ~ ( c @ X208 @ ( esk24_2 @ X193 @ X205 ) )
        | ( c @ X208 @ spain )
        | ~ ( c @ X205 @ spain )
        | ~ ( epred1_1 @ X193 ) ) ),
    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_27])])])])])]) ).

thf(c_0_32,plain,
    ! [X3: $i,X14: $i] :
      ( ( c @ esk12_0 @ france )
      | ~ ( a @ X3 @ X14 ) ),
    inference(split_conjunct,[status(thm)],[c_0_28]) ).

thf(c_0_33,negated_conjecture,
    a @ esk15_0 @ esk16_0,
    inference(split_conjunct,[status(thm)],[c_0_29]) ).

thf(c_0_34,plain,
    ! [X159: $i,X160: $i,X161: reg,X164: reg,X167: reg] :
      ( ( ~ ( c @ X161 @ catalunya )
        | ( c @ X161 @ spain )
        | ~ ( a @ X159 @ X160 ) )
      & ( ( c @ esk4_0 @ spain )
        | ~ ( a @ X159 @ X160 ) )
      & ( ~ ( c @ esk4_0 @ catalunya )
        | ~ ( a @ X159 @ X160 ) )
      & ( ( c @ esk5_0 @ catalunya )
        | ~ ( a @ X159 @ X160 ) )
      & ( ( c @ ( esk7_1 @ X164 ) @ X164 )
        | ( c @ ( esk6_1 @ X164 ) @ X164 )
        | ~ ( a @ X159 @ X160 ) )
      & ( ~ ( c @ ( esk7_1 @ X164 ) @ catalunya )
        | ( c @ ( esk6_1 @ X164 ) @ X164 )
        | ~ ( a @ X159 @ X160 ) )
      & ( ( c @ ( esk7_1 @ X164 ) @ X164 )
        | ~ ( c @ ( esk6_1 @ X164 ) @ esk5_0 )
        | ~ ( a @ X159 @ X160 ) )
      & ( ~ ( c @ ( esk7_1 @ X164 ) @ catalunya )
        | ~ ( c @ ( esk6_1 @ X164 ) @ esk5_0 )
        | ~ ( a @ X159 @ X160 ) )
      & ( ( c @ esk5_0 @ spain )
        | ~ ( a @ X159 @ X160 ) )
      & ( ( c @ ( esk9_1 @ X167 ) @ X167 )
        | ( c @ ( esk8_1 @ X167 ) @ X167 )
        | ~ ( a @ X159 @ X160 ) )
      & ( ~ ( c @ ( esk9_1 @ X167 ) @ spain )
        | ( c @ ( esk8_1 @ X167 ) @ X167 )
        | ~ ( a @ X159 @ X160 ) )
      & ( ( c @ ( esk9_1 @ X167 ) @ X167 )
        | ~ ( c @ ( esk8_1 @ X167 ) @ esk5_0 )
        | ~ ( a @ X159 @ X160 ) )
      & ( ~ ( c @ ( esk9_1 @ X167 ) @ spain )
        | ~ ( c @ ( esk8_1 @ X167 ) @ esk5_0 )
        | ~ ( a @ X159 @ X160 ) ) ),
    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_30])])])])])])]) ).

thf(c_0_35,plain,
    ! [X18: reg,X19: reg] :
      ( ( c @ X18 @ X19 )
      | ~ ( c @ X18 @ france )
      | ~ ( epred1_1 @ X19 ) ),
    inference(split_conjunct,[status(thm)],[c_0_31]) ).

thf(c_0_36,negated_conjecture,
    c @ esk12_0 @ france,
    inference(spm,[status(thm)],[c_0_32,c_0_33]) ).

thf(c_0_37,plain,
    ! [X3: $i,X14: $i] :
      ( ( c @ esk4_0 @ spain )
      | ~ ( a @ X3 @ X14 ) ),
    inference(split_conjunct,[status(thm)],[c_0_34]) ).

thf(c_0_38,plain,
    ! [X18: reg] :
      ( ( c @ esk12_0 @ X18 )
      | ~ ( epred1_1 @ X18 ) ),
    inference(spm,[status(thm)],[c_0_35,c_0_36]) ).

thf(c_0_39,negated_conjecture,
    epred1_1 @ esk17_0,
    inference(split_conjunct,[status(thm)],[c_0_29]) ).

thf(c_0_40,plain,
    ! [X3: $i,X14: $i] :
      ( ~ ( c @ esk12_0 @ paris )
      | ~ ( a @ X3 @ X14 ) ),
    inference(split_conjunct,[status(thm)],[c_0_28]) ).

thf(c_0_41,plain,
    ! [X18: reg,X19: reg] :
      ( ( c @ X18 @ X19 )
      | ~ ( c @ X18 @ spain )
      | ~ ( epred1_1 @ X19 ) ),
    inference(split_conjunct,[status(thm)],[c_0_31]) ).

thf(c_0_42,negated_conjecture,
    c @ esk4_0 @ spain,
    inference(spm,[status(thm)],[c_0_37,c_0_33]) ).

thf(c_0_43,negated_conjecture,
    ! [X18: reg,X19: reg] :
      ( ( c @ esk19_0 @ catalunya )
      | ( c @ X18 @ catalunya )
      | ( c @ esk18_0 @ paris )
      | ( c @ X19 @ paris )
      | ~ ( c @ X18 @ esk17_0 )
      | ~ ( c @ X19 @ esk17_0 ) ),
    inference(split_conjunct,[status(thm)],[c_0_29]) ).

thf(c_0_44,negated_conjecture,
    c @ esk12_0 @ esk17_0,
    inference(spm,[status(thm)],[c_0_38,c_0_39]) ).

thf(c_0_45,negated_conjecture,
    ~ ( c @ esk12_0 @ paris ),
    inference(spm,[status(thm)],[c_0_40,c_0_33]) ).

thf(c_0_46,negated_conjecture,
    ! [X18: reg] :
      ( ( c @ esk4_0 @ X18 )
      | ~ ( epred1_1 @ X18 ) ),
    inference(spm,[status(thm)],[c_0_41,c_0_42]) ).

thf(c_0_47,plain,
    ! [X3: $i,X14: $i] :
      ( ~ ( c @ esk4_0 @ catalunya )
      | ~ ( a @ X3 @ X14 ) ),
    inference(split_conjunct,[status(thm)],[c_0_34]) ).

thf(c_0_48,plain,
    ! [X18: reg,X3: $i,X14: $i] :
      ( ( c @ X18 @ spain )
      | ~ ( c @ X18 @ catalunya )
      | ~ ( a @ X3 @ X14 ) ),
    inference(split_conjunct,[status(thm)],[c_0_34]) ).

thf(c_0_49,negated_conjecture,
    ! [X18: reg] :
      ( ( c @ esk19_0 @ catalunya )
      | ( c @ esk18_0 @ paris )
      | ( c @ X18 @ catalunya )
      | ~ ( c @ X18 @ esk17_0 ) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_43,c_0_44]),c_0_45]) ).

thf(c_0_50,negated_conjecture,
    c @ esk4_0 @ esk17_0,
    inference(spm,[status(thm)],[c_0_46,c_0_39]) ).

thf(c_0_51,negated_conjecture,
    ~ ( c @ esk4_0 @ catalunya ),
    inference(spm,[status(thm)],[c_0_47,c_0_33]) ).

thf(c_0_52,negated_conjecture,
    ! [X18: reg] :
      ( ( c @ X18 @ spain )
      | ~ ( c @ X18 @ catalunya ) ),
    inference(spm,[status(thm)],[c_0_48,c_0_33]) ).

thf(c_0_53,negated_conjecture,
    ( ( c @ esk18_0 @ paris )
    | ( c @ esk19_0 @ catalunya ) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_50]),c_0_51]) ).

thf(c_0_54,negated_conjecture,
    ! [X18: reg,X19: reg] :
      ( ( c @ X18 @ catalunya )
      | ( c @ esk18_0 @ paris )
      | ( c @ X19 @ paris )
      | ~ ( c @ esk19_0 @ esk17_0 )
      | ~ ( c @ X18 @ esk17_0 )
      | ~ ( c @ X19 @ esk17_0 ) ),
    inference(split_conjunct,[status(thm)],[c_0_29]) ).

thf(c_0_55,negated_conjecture,
    ( ( c @ esk18_0 @ paris )
    | ( c @ esk19_0 @ spain ) ),
    inference(spm,[status(thm)],[c_0_52,c_0_53]) ).

thf(c_0_56,negated_conjecture,
    ! [X18: reg] :
      ( ( c @ esk18_0 @ paris )
      | ( c @ X18 @ catalunya )
      | ~ ( c @ esk19_0 @ esk17_0 )
      | ~ ( c @ X18 @ esk17_0 ) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_54,c_0_44]),c_0_45]) ).

thf(c_0_57,plain,
    ! [X18: reg,X3: $i,X14: $i] :
      ( ( c @ X18 @ france )
      | ~ ( c @ X18 @ paris )
      | ~ ( a @ X3 @ X14 ) ),
    inference(split_conjunct,[status(thm)],[c_0_28]) ).

thf(c_0_58,plain,
    ! [X18: reg] :
      ( ( c @ esk18_0 @ paris )
      | ( c @ esk19_0 @ X18 )
      | ~ ( epred1_1 @ X18 ) ),
    inference(spm,[status(thm)],[c_0_41,c_0_55]) ).

thf(c_0_59,negated_conjecture,
    ( ( c @ esk18_0 @ paris )
    | ~ ( c @ esk19_0 @ esk17_0 ) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_56,c_0_50]),c_0_51]) ).

thf(c_0_60,negated_conjecture,
    ! [X18: reg] :
      ( ( c @ X18 @ france )
      | ~ ( c @ X18 @ paris ) ),
    inference(spm,[status(thm)],[c_0_57,c_0_33]) ).

thf(c_0_61,negated_conjecture,
    c @ esk18_0 @ paris,
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_58,c_0_39]),c_0_59]) ).

thf(c_0_62,negated_conjecture,
    ! [X18: reg,X19: reg] :
      ( ( c @ esk19_0 @ catalunya )
      | ( c @ X18 @ catalunya )
      | ( c @ X19 @ paris )
      | ~ ( c @ X18 @ esk17_0 )
      | ~ ( c @ esk18_0 @ esk17_0 )
      | ~ ( c @ X19 @ esk17_0 ) ),
    inference(split_conjunct,[status(thm)],[c_0_29]) ).

thf(c_0_63,negated_conjecture,
    c @ esk18_0 @ france,
    inference(spm,[status(thm)],[c_0_60,c_0_61]) ).

thf(c_0_64,negated_conjecture,
    ! [X18: reg] :
      ( ( c @ esk19_0 @ catalunya )
      | ( c @ X18 @ catalunya )
      | ~ ( c @ esk18_0 @ esk17_0 )
      | ~ ( c @ X18 @ esk17_0 ) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_62,c_0_44]),c_0_45]) ).

thf(c_0_65,plain,
    ! [X18: reg] :
      ( ( c @ esk18_0 @ X18 )
      | ~ ( epred1_1 @ X18 ) ),
    inference(spm,[status(thm)],[c_0_35,c_0_63]) ).

thf(c_0_66,negated_conjecture,
    ( ( c @ esk19_0 @ catalunya )
    | ~ ( c @ esk18_0 @ esk17_0 ) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_64,c_0_50]),c_0_51]) ).

thf(c_0_67,negated_conjecture,
    c @ esk18_0 @ esk17_0,
    inference(spm,[status(thm)],[c_0_65,c_0_39]) ).

thf(c_0_68,negated_conjecture,
    ! [X18: reg,X19: reg] :
      ( ( c @ X18 @ catalunya )
      | ( c @ X19 @ paris )
      | ~ ( c @ esk19_0 @ esk17_0 )
      | ~ ( c @ X18 @ esk17_0 )
      | ~ ( c @ esk18_0 @ esk17_0 )
      | ~ ( c @ X19 @ esk17_0 ) ),
    inference(split_conjunct,[status(thm)],[c_0_29]) ).

thf(c_0_69,negated_conjecture,
    c @ esk19_0 @ catalunya,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_66,c_0_67])]) ).

thf(c_0_70,negated_conjecture,
    ! [X18: reg] :
      ( ( c @ X18 @ catalunya )
      | ~ ( c @ esk18_0 @ esk17_0 )
      | ~ ( c @ esk19_0 @ esk17_0 )
      | ~ ( c @ X18 @ esk17_0 ) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_68,c_0_44]),c_0_45]) ).

thf(c_0_71,negated_conjecture,
    c @ esk19_0 @ spain,
    inference(spm,[status(thm)],[c_0_52,c_0_69]) ).

thf(c_0_72,negated_conjecture,
    ( ~ ( c @ esk18_0 @ esk17_0 )
    | ~ ( c @ esk19_0 @ esk17_0 ) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_70,c_0_50]),c_0_51]) ).

thf(c_0_73,plain,
    ! [X18: reg] :
      ( ( c @ esk19_0 @ X18 )
      | ~ ( epred1_1 @ X18 ) ),
    inference(spm,[status(thm)],[c_0_41,c_0_71]) ).

thf(c_0_74,negated_conjecture,
    ~ ( c @ esk19_0 @ esk17_0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_72,c_0_67])]) ).

thf(c_0_75,negated_conjecture,
    $false,
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_73,c_0_39]),c_0_74]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11  % Problem    : GEG011^1 : TPTP v8.2.0. Released v4.1.0.
% 0.03/0.12  % Command    : run_E %s %d THM
% 0.11/0.33  % Computer : n014.cluster.edu
% 0.11/0.33  % Model    : x86_64 x86_64
% 0.11/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33  % Memory   : 8042.1875MB
% 0.11/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33  % CPULimit   : 300
% 0.11/0.33  % WCLimit    : 300
% 0.11/0.33  % DateTime   : Sat May 18 21:55:37 EDT 2024
% 0.11/0.34  % CPUTime    : 
% 0.18/0.46  Running higher-order theorem proving
% 0.18/0.46  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
% 0.18/0.50  # Version: 3.1.0-ho
% 0.18/0.50  # Preprocessing class: HSMSSMSSMLLNHSN.
% 0.18/0.50  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.18/0.50  # Starting new_ho_10_cnf2 with 1500s (5) cores
% 0.18/0.50  # Starting post_as_ho3 with 300s (1) cores
% 0.18/0.50  # Starting new_ho_12 with 300s (1) cores
% 0.18/0.50  # Starting new_bool_2 with 300s (1) cores
% 0.18/0.50  # new_ho_10_cnf2 with pid 5598 completed with status 0
% 0.18/0.50  # Result found by new_ho_10_cnf2
% 0.18/0.50  # Preprocessing class: HSMSSMSSMLLNHSN.
% 0.18/0.50  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.18/0.50  # Starting new_ho_10_cnf2 with 1500s (5) cores
% 0.18/0.50  # No SInE strategy applied
% 0.18/0.50  # Search class: HGHNF-FFMF21-SHSSMSBN
% 0.18/0.50  # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 0.18/0.50  # Starting new_ho_9 with 811s (1) cores
% 0.18/0.50  # Starting new_ho_10_cnf2 with 151s (1) cores
% 0.18/0.50  # Starting pre_casc_8 with 136s (1) cores
% 0.18/0.50  # Starting post_as_ho2 with 136s (1) cores
% 0.18/0.50  # Starting post_as_ho1 with 136s (1) cores
% 0.18/0.50  # pre_casc_8 with pid 5607 completed with status 0
% 0.18/0.50  # Result found by pre_casc_8
% 0.18/0.50  # Preprocessing class: HSMSSMSSMLLNHSN.
% 0.18/0.50  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.18/0.50  # Starting new_ho_10_cnf2 with 1500s (5) cores
% 0.18/0.50  # No SInE strategy applied
% 0.18/0.50  # Search class: HGHNF-FFMF21-SHSSMSBN
% 0.18/0.50  # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 0.18/0.50  # Starting new_ho_9 with 811s (1) cores
% 0.18/0.50  # Starting new_ho_10_cnf2 with 151s (1) cores
% 0.18/0.50  # Starting pre_casc_8 with 136s (1) cores
% 0.18/0.50  # Preprocessing time       : 0.002 s
% 0.18/0.50  # Presaturation interreduction done
% 0.18/0.50  
% 0.18/0.50  # Proof found!
% 0.18/0.50  # SZS status Theorem
% 0.18/0.50  # SZS output start CNFRefutation
% See solution above
% 0.18/0.50  # Parsed axioms                        : 98
% 0.18/0.50  # Removed by relevancy pruning/SinE    : 0
% 0.18/0.50  # Initial clauses                      : 102
% 0.18/0.50  # Removed in clause preprocessing      : 49
% 0.18/0.50  # Initial clauses in saturation        : 53
% 0.18/0.50  # Processed clauses                    : 201
% 0.18/0.50  # ...of these trivial                  : 0
% 0.18/0.50  # ...subsumed                          : 5
% 0.18/0.50  # ...remaining for further processing  : 196
% 0.18/0.50  # Other redundant clauses eliminated   : 0
% 0.18/0.50  # Clauses deleted for lack of memory   : 0
% 0.18/0.50  # Backward-subsumed                    : 26
% 0.18/0.50  # Backward-rewritten                   : 13
% 0.18/0.50  # Generated clauses                    : 231
% 0.18/0.50  # ...of the previous two non-redundant : 188
% 0.18/0.50  # ...aggressively subsumed             : 0
% 0.18/0.50  # Contextual simplify-reflections      : 13
% 0.18/0.50  # Paramodulations                      : 231
% 0.18/0.50  # Factorizations                       : 0
% 0.18/0.50  # NegExts                              : 0
% 0.18/0.50  # Equation resolutions                 : 0
% 0.18/0.50  # Disequality decompositions           : 0
% 0.18/0.50  # Total rewrite steps                  : 58
% 0.18/0.50  # ...of those cached                   : 23
% 0.18/0.50  # Propositional unsat checks           : 0
% 0.18/0.50  #    Propositional check models        : 0
% 0.18/0.50  #    Propositional check unsatisfiable : 0
% 0.18/0.50  #    Propositional clauses             : 0
% 0.18/0.50  #    Propositional clauses after purity: 0
% 0.18/0.50  #    Propositional unsat core size     : 0
% 0.18/0.50  #    Propositional preprocessing time  : 0.000
% 0.18/0.50  #    Propositional encoding time       : 0.000
% 0.18/0.50  #    Propositional solver time         : 0.000
% 0.18/0.50  #    Success case prop preproc time    : 0.000
% 0.18/0.50  #    Success case prop encoding time   : 0.000
% 0.18/0.50  #    Success case prop solver time     : 0.000
% 0.18/0.50  # Current number of processed clauses  : 104
% 0.18/0.50  #    Positive orientable unit clauses  : 47
% 0.18/0.50  #    Positive unorientable unit clauses: 0
% 0.18/0.50  #    Negative unit clauses             : 3
% 0.18/0.50  #    Non-unit-clauses                  : 54
% 0.18/0.50  # Current number of unprocessed clauses: 77
% 0.18/0.50  # ...number of literals in the above   : 345
% 0.18/0.50  # Current number of archived formulas  : 0
% 0.18/0.50  # Current number of archived clauses   : 92
% 0.18/0.50  # Clause-clause subsumption calls (NU) : 3293
% 0.18/0.50  # Rec. Clause-clause subsumption calls : 1324
% 0.18/0.50  # Non-unit clause-clause subsumptions  : 39
% 0.18/0.50  # Unit Clause-clause subsumption calls : 145
% 0.18/0.50  # Rewrite failures with RHS unbound    : 0
% 0.18/0.50  # BW rewrite match attempts            : 17
% 0.18/0.50  # BW rewrite match successes           : 8
% 0.18/0.50  # Condensation attempts                : 201
% 0.18/0.50  # Condensation successes               : 0
% 0.18/0.50  # Termbank termtop insertions          : 13529
% 0.18/0.50  # Search garbage collected termcells   : 2583
% 0.18/0.50  
% 0.18/0.50  # -------------------------------------------------
% 0.18/0.50  # User time                : 0.026 s
% 0.18/0.50  # System time              : 0.007 s
% 0.18/0.50  # Total time               : 0.032 s
% 0.18/0.50  # Maximum resident set size: 2368 pages
% 0.18/0.50  
% 0.18/0.50  # -------------------------------------------------
% 0.18/0.50  # User time                : 0.118 s
% 0.18/0.50  # System time              : 0.017 s
% 0.18/0.50  # Total time               : 0.135 s
% 0.18/0.50  # Maximum resident set size: 1832 pages
% 0.18/0.50  % E---3.1 exiting
% 0.18/0.50  % E exiting
%------------------------------------------------------------------------------