↑ Up

E---3.5.1.THM-CRf.s

View TPTP
Problem
Process solution in
SystemOnTSTP
Download .tgz
%------------------------------------------------------------------------------
% File     : E---3.5.1
% Problem  : NUM650^4 : TPTP v9.3.1. Released v7.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM

% Computer : n007.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 08:16:42 AM UTC 2026

% Result   : Theorem 1.26s 0.50s
% Output   : CNFRefutation 1.26s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   14
%            Number of leaves      :   19
% Syntax   : Number of formulae    :   74 (  52 unt;   0 typ;   0 def)
%            Number of atoms       :  643 ( 127 equ;   0 cnn)
%            Maximal formula atoms :  275 (   8 avg)
%            Number of connectives : 1461 ( 348   ~; 301   |;  40   &; 604   @)
%                                         (   0 <=>; 168  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   52 (   4 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   16 (  16   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   27 (  24 usr;   5 con; 0-3 aty)
%            Number of variables   :  168 ( 121   ^;  47   !;   0   ?; 168   :)

% Comments : 
%------------------------------------------------------------------------------
thf(decl_23,type,
    is_of: $i > ( $i > $o ) > $o ).

thf(decl_24,type,
    all_of: ( $i > $o ) > ( $i > $o ) > $o ).

thf(decl_26,type,
    in: $i > $i > $o ).

thf(decl_62,type,
    imp: $o > $o > $o ).

thf(decl_63,type,
    d_not: $o > $o ).

thf(decl_66,type,
    l_ec: $o > $o > $o ).

thf(decl_67,type,
    d_and: $o > $o > $o ).

thf(decl_68,type,
    l_or: $o > $o > $o ).

thf(decl_72,type,
    non: $i > ( $i > $o ) > $i > $o ).

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

thf(decl_74,type,
    or3: $o > $o > $o > $o ).

thf(decl_75,type,
    and3: $o > $o > $o > $o ).

thf(decl_76,type,
    ec3: $o > $o > $o > $o ).

thf(decl_77,type,
    orec3: $o > $o > $o > $o ).

thf(decl_78,type,
    e_is: $i > $i > $i > $o ).

thf(decl_124,type,
    nat: $i ).

thf(decl_125,type,
    n_is: $i > $i > $o ).

thf(decl_128,type,
    n_some: ( $i > $o ) > $o ).

thf(decl_143,type,
    n_pl: $i > $i > $i ).

thf(decl_148,type,
    diffprop: $i > $i > $i > $o ).

thf(decl_189,type,
    esk34_2: $i > $i > $i ).

thf(decl_190,type,
    esk35_2: $i > $i > $i ).

thf(decl_191,type,
    esk36_0: $i ).

thf(decl_192,type,
    esk37_0: $i ).

thf(def_d_not,axiom,
    ( d_not
    = ( ^ [X76: $o] : ( imp @ X76 @ ~ $true ) ) ),
    file('/export/starexec/sandbox/tmp/tmp.FTrjLUvoQI/E---3.1_3288583.p',def_d_not) ).

thf(def_imp,axiom,
    ( imp
    = ( ^ [X74: $o,X75: $o] :
          ( X74
         => X75 ) ) ),
    file('/export/starexec/sandbox/tmp/tmp.FTrjLUvoQI/E---3.1_3288583.p',def_imp) ).

thf(def_l_ec,axiom,
    ( l_ec
    = ( ^ [X79: $o,X80: $o] : ( imp @ X79 @ ( d_not @ X80 ) ) ) ),
    file('/export/starexec/sandbox/tmp/tmp.FTrjLUvoQI/E---3.1_3288583.p',def_l_ec) ).

thf(def_d_and,axiom,
    ( d_and
    = ( ^ [X81: $o,X82: $o] : ( d_not @ ( l_ec @ X81 @ X82 ) ) ) ),
    file('/export/starexec/sandbox/tmp/tmp.FTrjLUvoQI/E---3.1_3288583.p',def_d_and) ).

thf(def_all_of,axiom,
    ( all_of
    = ( ^ [X3: $i > $o,X2: $i > $o] :
        ! [X4: $i] :
          ( ( is_of @ X4 @ X3 )
         => ( X2 @ X4 ) ) ) ),
    file('/export/starexec/sandbox/tmp/tmp.FTrjLUvoQI/E---3.1_3288583.p',def_all_of) ).

thf(def_is_of,axiom,
    ( is_of
    = ( ^ [X1: $i,X2: $i > $o] : ( X2 @ X1 ) ) ),
    file('/export/starexec/sandbox/tmp/tmp.FTrjLUvoQI/E---3.1_3288583.p',def_is_of) ).

thf(def_non,axiom,
    ( non
    = ( ^ [X1: $i,X2: $i > $o,X4: $i] : ( d_not @ ( X2 @ X4 ) ) ) ),
    file('/export/starexec/sandbox/tmp/tmp.FTrjLUvoQI/E---3.1_3288583.p',def_non) ).

thf(def_l_or,axiom,
    ( l_or
    = ( ^ [X83: $o] : ( imp @ ( d_not @ X83 ) ) ) ),
    file('/export/starexec/sandbox/tmp/tmp.FTrjLUvoQI/E---3.1_3288583.p',def_l_or) ).

thf(def_and3,axiom,
    ( and3
    = ( ^ [X92: $o,X93: $o,X94: $o] : ( d_and @ X92 @ ( d_and @ X93 @ X94 ) ) ) ),
    file('/export/starexec/sandbox/tmp/tmp.FTrjLUvoQI/E---3.1_3288583.p',def_and3) ).

thf(def_l_some,axiom,
    ( l_some
    = ( ^ [X1: $i,X2: $i > $o] :
          ( d_not
          @ ( all_of
            @ ^ [X4: $i] : ( in @ X4 @ X1 )
            @ ( non @ X1 @ X2 ) ) ) ) ),
    file('/export/starexec/sandbox/tmp/tmp.FTrjLUvoQI/E---3.1_3288583.p',def_l_some) ).

thf(def_e_is,axiom,
    ( e_is
    = ( ^ [X1: $i,X101: $i,X102: $i] : ( X101 = X102 ) ) ),
    file('/export/starexec/sandbox/tmp/tmp.FTrjLUvoQI/E---3.1_3288583.p',def_e_is) ).

thf(def_or3,axiom,
    ( or3
    = ( ^ [X89: $o,X90: $o,X91: $o] : ( l_or @ X89 @ ( l_or @ X90 @ X91 ) ) ) ),
    file('/export/starexec/sandbox/tmp/tmp.FTrjLUvoQI/E---3.1_3288583.p',def_or3) ).

thf(def_ec3,axiom,
    ( ec3
    = ( ^ [X95: $o,X96: $o,X97: $o] : ( and3 @ ( l_ec @ X95 @ X96 ) @ ( l_ec @ X96 @ X97 ) @ ( l_ec @ X97 @ X95 ) ) ) ),
    file('/export/starexec/sandbox/tmp/tmp.FTrjLUvoQI/E---3.1_3288583.p',def_ec3) ).

thf(def_diffprop,axiom,
    ( diffprop
    = ( ^ [X1: $i,X207: $i,X4: $i] : ( n_is @ X1 @ ( n_pl @ X207 @ X4 ) ) ) ),
    file('/export/starexec/sandbox/tmp/tmp.FTrjLUvoQI/E---3.1_3288583.p',def_diffprop) ).

thf(def_n_is,axiom,
    ( n_is
    = ( ^ [Z0: $i,Z1: $i] : ( Z0 = Z1 ) ) ),
    file('/export/starexec/sandbox/tmp/tmp.FTrjLUvoQI/E---3.1_3288583.p',def_n_is) ).

thf(def_orec3,axiom,
    ( orec3
    = ( ^ [X98: $o,X99: $o,X100: $o] : ( d_and @ ( or3 @ X98 @ X99 @ X100 ) @ ( ec3 @ X98 @ X99 @ X100 ) ) ) ),
    file('/export/starexec/sandbox/tmp/tmp.FTrjLUvoQI/E---3.1_3288583.p',def_orec3) ).

thf(satz9a,conjecture,
    ( all_of
    @ ^ [X1: $i] : ( in @ X1 @ nat )
    @ ^ [X1: $i] :
        ( all_of
        @ ^ [X215: $i] : ( in @ X215 @ nat )
        @ ^ [X216: $i] : ( or3 @ ( n_is @ X1 @ X216 ) @ ( n_some @ ( diffprop @ X1 @ X216 ) ) @ ( n_some @ ( diffprop @ X216 @ X1 ) ) ) ) ),
    file('/export/starexec/sandbox/tmp/tmp.FTrjLUvoQI/E---3.1_3288583.p',satz9a) ).

thf(def_n_some,axiom,
    ( n_some
    = ( ^ [Z0: $i > $o] :
          ( ! [X389: $i] :
              ( ( in @ X389 @ nat )
             => ( ( Z0 @ X389 )
               => ~ $true ) )
         => ~ $true ) ) ),
    file('/export/starexec/sandbox/tmp/tmp.FTrjLUvoQI/E---3.1_3288583.p',def_n_some) ).

thf(satz9,axiom,
    ( all_of
    @ ^ [X1: $i] : ( in @ X1 @ nat )
    @ ^ [X1: $i] :
        ( all_of
        @ ^ [X213: $i] : ( in @ X213 @ nat )
        @ ^ [X214: $i] :
            ( orec3 @ ( n_is @ X1 @ X214 )
            @ ( n_some
              @ ^ [X4: $i] : ( n_is @ X1 @ ( n_pl @ X214 @ X4 ) ) )
            @ ( n_some
              @ ^ [X4: $i] : ( n_is @ X214 @ ( n_pl @ X1 @ X4 ) ) ) ) ) ),
    file('/export/starexec/sandbox/tmp/tmp.FTrjLUvoQI/E---3.1_3288583.p',satz9) ).

thf(c_0_19,plain,
    ( d_not
    = ( ^ [Z0: $o] :
          ( Z0
         => ~ $true ) ) ),
    inference(fof_simplification,[status(thm)],[def_d_not]) ).

thf(c_0_20,plain,
    ( imp
    = ( ^ [Z0: $o,Z1: $o] :
          ( Z0
         => Z1 ) ) ),
    inference(fof_simplification,[status(thm)],[def_imp]) ).

thf(c_0_21,plain,
    ( l_ec
    = ( ^ [Z0: $o,Z1: $o] :
          ( Z0
         => ( Z1
           => ~ $true ) ) ) ),
    inference(fof_simplification,[status(thm)],[def_l_ec]) ).

thf(c_0_22,plain,
    ( d_not
    = ( ^ [Z0: $o] :
          ( Z0
         => ~ $true ) ) ),
    inference(apply_def,[status(thm)],[c_0_19,c_0_20]) ).

thf(c_0_23,plain,
    ( d_and
    = ( ^ [Z0: $o,Z1: $o] :
          ( ( Z0
           => ( Z1
             => ~ $true ) )
         => ~ $true ) ) ),
    inference(fof_simplification,[status(thm)],[def_d_and]) ).

thf(c_0_24,plain,
    ( l_ec
    = ( ^ [Z0: $o,Z1: $o] :
          ( Z0
         => ( Z1
           => ~ $true ) ) ) ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_21,c_0_20]),c_0_22]) ).

thf(c_0_25,plain,
    ( all_of
    = ( ^ [Z0: $i > $o,Z1: $i > $o] :
        ! [X4: $i] :
          ( ( Z0 @ X4 )
         => ( Z1 @ X4 ) ) ) ),
    inference(fof_simplification,[status(thm)],[def_all_of]) ).

thf(c_0_26,plain,
    ( is_of
    = ( ^ [Z0: $i,Z1: $i > $o] : ( Z1 @ Z0 ) ) ),
    inference(fof_simplification,[status(thm)],[def_is_of]) ).

thf(c_0_27,plain,
    ( non
    = ( ^ [Z0: $i,Z1: $i > $o,Z2: $i] :
          ( ( Z1 @ Z2 )
         => ~ $true ) ) ),
    inference(fof_simplification,[status(thm)],[def_non]) ).

thf(c_0_28,plain,
    ( l_or
    = ( ^ [Z0: $o,Z1: $o] :
          ( ( Z0
           => ~ $true )
         => Z1 ) ) ),
    inference(fof_simplification,[status(thm)],[def_l_or]) ).

thf(c_0_29,plain,
    ( and3
    = ( ^ [Z0: $o,Z1: $o,Z2: $o] :
          ( ( Z0
           => ( ( ( Z1
                 => ( Z2
                   => ~ $true ) )
               => ~ $true )
             => ~ $true ) )
         => ~ $true ) ) ),
    inference(fof_simplification,[status(thm)],[def_and3]) ).

thf(c_0_30,plain,
    ( d_and
    = ( ^ [Z0: $o,Z1: $o] :
          ( ( Z0
           => ( Z1
             => ~ $true ) )
         => ~ $true ) ) ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_23,c_0_22]),c_0_24]) ).

thf(c_0_31,plain,
    ( l_some
    = ( ^ [Z0: $i,Z1: $i > $o] :
          ( ! [X362: $i] :
              ( ( in @ X362 @ Z0 )
             => ( ( Z1 @ X362 )
               => ~ $true ) )
         => ~ $true ) ) ),
    inference(fof_simplification,[status(thm)],[def_l_some]) ).

thf(c_0_32,plain,
    ( all_of
    = ( ^ [Z0: $i > $o,Z1: $i > $o] :
        ! [X4: $i] :
          ( ( Z0 @ X4 )
         => ( Z1 @ X4 ) ) ) ),
    inference(apply_def,[status(thm)],[c_0_25,c_0_26]) ).

thf(c_0_33,plain,
    ( non
    = ( ^ [Z0: $i,Z1: $i > $o,Z2: $i] :
          ( ( Z1 @ Z2 )
         => ~ $true ) ) ),
    inference(apply_def,[status(thm)],[c_0_27,c_0_22]) ).

thf(c_0_34,plain,
    ( e_is
    = ( ^ [Z0: $i,Z1: $i,Z2: $i] : ( Z1 = Z2 ) ) ),
    inference(fof_simplification,[status(thm)],[def_e_is]) ).

thf(c_0_35,plain,
    ( or3
    = ( ^ [Z0: $o,Z1: $o,Z2: $o] :
          ( ( Z0
           => ~ $true )
         => ( ( Z1
             => ~ $true )
           => Z2 ) ) ) ),
    inference(fof_simplification,[status(thm)],[def_or3]) ).

thf(c_0_36,plain,
    ( l_or
    = ( ^ [Z0: $o,Z1: $o] :
          ( ( Z0
           => ~ $true )
         => Z1 ) ) ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_28,c_0_20]),c_0_22]) ).

thf(c_0_37,plain,
    ( ec3
    = ( ^ [Z0: $o,Z1: $o,Z2: $o] :
          ( ( ( Z0
             => ( Z1
               => ~ $true ) )
           => ( ( ( ( Z1
                   => ( Z2
                     => ~ $true ) )
                 => ( ( Z2
                     => ( Z0
                       => ~ $true ) )
                   => ~ $true ) )
               => ~ $true )
             => ~ $true ) )
         => ~ $true ) ) ),
    inference(fof_simplification,[status(thm)],[def_ec3]) ).

thf(c_0_38,plain,
    ( and3
    = ( ^ [Z0: $o,Z1: $o,Z2: $o] :
          ( ( Z0
           => ( ( ( Z1
                 => ( Z2
                   => ~ $true ) )
               => ~ $true )
             => ~ $true ) )
         => ~ $true ) ) ),
    inference(apply_def,[status(thm)],[c_0_29,c_0_30]) ).

thf(c_0_39,plain,
    ( l_some
    = ( ^ [Z0: $i,Z1: $i > $o] :
          ( ! [X362: $i] :
              ( ( in @ X362 @ Z0 )
             => ( ( Z1 @ X362 )
               => ~ $true ) )
         => ~ $true ) ) ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_31,c_0_32]),c_0_22]),c_0_33]) ).

thf(c_0_40,plain,
    ( diffprop
    = ( ^ [Z0: $i,Z1: $i,Z2: $i] :
          ( Z0
          = ( n_pl @ Z1 @ Z2 ) ) ) ),
    inference(fof_simplification,[status(thm)],[def_diffprop]) ).

thf(c_0_41,axiom,
    ( n_is
    = ( ^ [Z0: $i,Z1: $i] : ( Z0 = Z1 ) ) ),
    inference(apply_def,[status(thm)],[def_n_is,c_0_34]) ).

thf(c_0_42,plain,
    ( orec3
    = ( ^ [Z0: $o,Z1: $o,Z2: $o] :
          ( ( ( ( Z0
               => ~ $true )
             => ( ( Z1
                 => ~ $true )
               => Z2 ) )
           => ( ( ( ( Z0
                   => ( Z1
                     => ~ $true ) )
                 => ( ( ( ( Z1
                         => ( Z2
                           => ~ $true ) )
                       => ( ( Z2
                           => ( Z0
                             => ~ $true ) )
                         => ~ $true ) )
                     => ~ $true )
                   => ~ $true ) )
               => ~ $true )
             => ~ $true ) )
         => ~ $true ) ) ),
    inference(fof_simplification,[status(thm)],[def_orec3]) ).

thf(c_0_43,plain,
    ( or3
    = ( ^ [Z0: $o,Z1: $o,Z2: $o] :
          ( ( Z0
           => ~ $true )
         => ( ( Z1
             => ~ $true )
           => Z2 ) ) ) ),
    inference(apply_def,[status(thm)],[c_0_35,c_0_36]) ).

thf(c_0_44,plain,
    ( ec3
    = ( ^ [Z0: $o,Z1: $o,Z2: $o] :
          ( ( ( Z0
             => ( Z1
               => ~ $true ) )
           => ( ( ( ( Z1
                   => ( Z2
                     => ~ $true ) )
                 => ( ( Z2
                     => ( Z0
                       => ~ $true ) )
                   => ~ $true ) )
               => ~ $true )
             => ~ $true ) )
         => ~ $true ) ) ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_37,c_0_24]),c_0_38]) ).

thf(c_0_45,negated_conjecture,
    ~ ( all_of
      @ ^ [X1: $i] : ( in @ X1 @ nat )
      @ ^ [X1: $i] :
          ( all_of
          @ ^ [X215: $i] : ( in @ X215 @ nat )
          @ ^ [X216: $i] : ( or3 @ ( n_is @ X1 @ X216 ) @ ( n_some @ ( diffprop @ X1 @ X216 ) ) @ ( n_some @ ( diffprop @ X216 @ X1 ) ) ) ) ),
    inference(assume_negation,[status(cth)],[satz9a]) ).

thf(c_0_46,axiom,
    ( n_some
    = ( ^ [Z0: $i > $o] :
          ( ! [X389: $i] :
              ( ( in @ X389 @ nat )
             => ( ( Z0 @ X389 )
               => ~ $true ) )
         => ~ $true ) ) ),
    inference(apply_def,[status(thm)],[def_n_some,c_0_39]) ).

thf(c_0_47,plain,
    ( diffprop
    = ( ^ [Z0: $i,Z1: $i,Z2: $i] :
          ( Z0
          = ( n_pl @ Z1 @ Z2 ) ) ) ),
    inference(apply_def,[status(thm)],[c_0_40,c_0_41]) ).

thf(c_0_48,plain,
    ( orec3
    = ( ^ [Z0: $o,Z1: $o,Z2: $o] :
          ( ( ( ( Z0
               => ~ $true )
             => ( ( Z1
                 => ~ $true )
               => Z2 ) )
           => ( ( ( ( Z0
                   => ( Z1
                     => ~ $true ) )
                 => ( ( ( ( Z1
                         => ( Z2
                           => ~ $true ) )
                       => ( ( Z2
                           => ( Z0
                             => ~ $true ) )
                         => ~ $true ) )
                     => ~ $true )
                   => ~ $true ) )
               => ~ $true )
             => ~ $true ) )
         => ~ $true ) ) ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_42,c_0_30]),c_0_43]),c_0_44]) ).

thf(c_0_49,negated_conjecture,
    ~ ! [X535: $i] :
        ( ( in @ X535 @ nat )
       => ! [X534: $i] :
            ( ( in @ X534 @ nat )
           => ( ( ( X535 = X534 )
               => ~ $true )
             => ( ( ( ! [X532: $i] :
                        ( ( in @ X532 @ nat )
                       => ( ( X535
                            = ( n_pl @ X534 @ X532 ) )
                         => ~ $true ) )
                   => ~ $true )
                 => ~ $true )
               => ( ! [X533: $i] :
                      ( ( in @ X533 @ nat )
                     => ( ( X534
                          = ( n_pl @ X535 @ X533 ) )
                       => ~ $true ) )
                 => ~ $true ) ) ) ) ),
    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)],[inference(fof_simplification,[status(thm)],[c_0_45]),c_0_32]),c_0_43]),c_0_41]),c_0_46]),c_0_47]) ).

thf(c_0_50,plain,
    ! [X531: $i] :
      ( ( in @ X531 @ nat )
     => ! [X530: $i] :
          ( ( in @ X530 @ nat )
         => ( ( ( ( ( X531 = X530 )
                 => ~ $true )
               => ( ( ( ! [X528: $i] :
                          ( ( in @ X528 @ nat )
                         => ( ( X531
                              = ( n_pl @ X530 @ X528 ) )
                           => ~ $true ) )
                     => ~ $true )
                   => ~ $true )
                 => ( ! [X529: $i] :
                        ( ( in @ X529 @ nat )
                       => ( ( X530
                            = ( n_pl @ X531 @ X529 ) )
                         => ~ $true ) )
                   => ~ $true ) ) )
             => ( ( ( ( ( X531 = X530 )
                     => ( ( ! [X528: $i] :
                              ( ( in @ X528 @ nat )
                             => ( ( X531
                                  = ( n_pl @ X530 @ X528 ) )
                               => ~ $true ) )
                         => ~ $true )
                       => ~ $true ) )
                   => ( ( ( ( ( ! [X528: $i] :
                                  ( ( in @ X528 @ nat )
                                 => ( ( X531
                                      = ( n_pl @ X530 @ X528 ) )
                                   => ~ $true ) )
                             => ~ $true )
                           => ( ( ! [X529: $i] :
                                    ( ( in @ X529 @ nat )
                                   => ( ( X530
                                        = ( n_pl @ X531 @ X529 ) )
                                     => ~ $true ) )
                               => ~ $true )
                             => ~ $true ) )
                         => ( ( ( ! [X529: $i] :
                                    ( ( in @ X529 @ nat )
                                   => ( ( X530
                                        = ( n_pl @ X531 @ X529 ) )
                                     => ~ $true ) )
                               => ~ $true )
                             => ( ( X531 = X530 )
                               => ~ $true ) )
                           => ~ $true ) )
                       => ~ $true )
                     => ~ $true ) )
                 => ~ $true )
               => ~ $true ) )
           => ~ $true ) ) ),
    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)],[satz9]),c_0_32]),c_0_48]),c_0_41]),c_0_46]) ).

thf(c_0_51,negated_conjecture,
    ! [X1040: $i,X1041: $i] :
      ( ( in @ esk36_0 @ nat )
      & ( in @ esk37_0 @ nat )
      & ( ( esk36_0 != esk37_0 )
        | ~ $true )
      & ( ~ ( in @ X1040 @ nat )
        | ( esk36_0
         != ( n_pl @ esk37_0 @ X1040 ) )
        | ~ $true
        | ~ $true )
      & ( $true
        | ~ $true )
      & ( ~ ( in @ X1041 @ nat )
        | ( esk37_0
         != ( n_pl @ esk36_0 @ X1041 ) )
        | ~ $true )
      & $true ),
    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_49])])])])])]) ).

thf(c_0_52,plain,
    ! [X1030: $i,X1031: $i,X1034: $i,X1035: $i,X1036: $i,X1037: $i] :
      ( ( ( in @ ( esk35_2 @ X1030 @ X1031 ) @ nat )
        | ~ $true
        | ( in @ ( esk34_2 @ X1030 @ X1031 ) @ nat )
        | ~ $true
        | ( X1030 = X1031 )
        | ~ $true
        | ~ ( in @ X1031 @ nat )
        | ~ ( in @ X1030 @ nat ) )
      & ( ( X1031
          = ( n_pl @ X1030 @ ( esk35_2 @ X1030 @ X1031 ) ) )
        | ~ $true
        | ( in @ ( esk34_2 @ X1030 @ X1031 ) @ nat )
        | ~ $true
        | ( X1030 = X1031 )
        | ~ $true
        | ~ ( in @ X1031 @ nat )
        | ~ ( in @ X1030 @ nat ) )
      & ( $true
        | ~ $true
        | ( in @ ( esk34_2 @ X1030 @ X1031 ) @ nat )
        | ~ $true
        | ( X1030 = X1031 )
        | ~ $true
        | ~ ( in @ X1031 @ nat )
        | ~ ( in @ X1030 @ nat ) )
      & ( ( in @ ( esk35_2 @ X1030 @ X1031 ) @ nat )
        | ~ $true
        | ( X1030
          = ( n_pl @ X1031 @ ( esk34_2 @ X1030 @ X1031 ) ) )
        | ~ $true
        | ( X1030 = X1031 )
        | ~ $true
        | ~ ( in @ X1031 @ nat )
        | ~ ( in @ X1030 @ nat ) )
      & ( ( X1031
          = ( n_pl @ X1030 @ ( esk35_2 @ X1030 @ X1031 ) ) )
        | ~ $true
        | ( X1030
          = ( n_pl @ X1031 @ ( esk34_2 @ X1030 @ X1031 ) ) )
        | ~ $true
        | ( X1030 = X1031 )
        | ~ $true
        | ~ ( in @ X1031 @ nat )
        | ~ ( in @ X1030 @ nat ) )
      & ( $true
        | ~ $true
        | ( X1030
          = ( n_pl @ X1031 @ ( esk34_2 @ X1030 @ X1031 ) ) )
        | ~ $true
        | ( X1030 = X1031 )
        | ~ $true
        | ~ ( in @ X1031 @ nat )
        | ~ ( in @ X1030 @ nat ) )
      & ( ( in @ ( esk35_2 @ X1030 @ X1031 ) @ nat )
        | ~ $true
        | $true
        | ~ $true
        | ( X1030 = X1031 )
        | ~ $true
        | ~ ( in @ X1031 @ nat )
        | ~ ( in @ X1030 @ nat ) )
      & ( ( X1031
          = ( n_pl @ X1030 @ ( esk35_2 @ X1030 @ X1031 ) ) )
        | ~ $true
        | $true
        | ~ $true
        | ( X1030 = X1031 )
        | ~ $true
        | ~ ( in @ X1031 @ nat )
        | ~ ( in @ X1030 @ nat ) )
      & ( $true
        | ~ $true
        | $true
        | ~ $true
        | ( X1030 = X1031 )
        | ~ $true
        | ~ ( in @ X1031 @ nat )
        | ~ ( in @ X1030 @ nat ) )
      & ( ( in @ ( esk35_2 @ X1030 @ X1031 ) @ nat )
        | ~ $true
        | $true
        | ( X1030 = X1031 )
        | ~ $true
        | ~ ( in @ X1031 @ nat )
        | ~ ( in @ X1030 @ nat ) )
      & ( ( X1031
          = ( n_pl @ X1030 @ ( esk35_2 @ X1030 @ X1031 ) ) )
        | ~ $true
        | $true
        | ( X1030 = X1031 )
        | ~ $true
        | ~ ( in @ X1031 @ nat )
        | ~ ( in @ X1030 @ nat ) )
      & ( $true
        | ~ $true
        | $true
        | ( X1030 = X1031 )
        | ~ $true
        | ~ ( in @ X1031 @ nat )
        | ~ ( in @ X1030 @ nat ) )
      & ( ( in @ ( esk35_2 @ X1030 @ X1031 ) @ nat )
        | ~ $true
        | ( in @ ( esk34_2 @ X1030 @ X1031 ) @ nat )
        | ~ $true
        | $true
        | ~ $true
        | ~ ( in @ X1031 @ nat )
        | ~ ( in @ X1030 @ nat ) )
      & ( ( X1031
          = ( n_pl @ X1030 @ ( esk35_2 @ X1030 @ X1031 ) ) )
        | ~ $true
        | ( in @ ( esk34_2 @ X1030 @ X1031 ) @ nat )
        | ~ $true
        | $true
        | ~ $true
        | ~ ( in @ X1031 @ nat )
        | ~ ( in @ X1030 @ nat ) )
      & ( $true
        | ~ $true
        | ( in @ ( esk34_2 @ X1030 @ X1031 ) @ nat )
        | ~ $true
        | $true
        | ~ $true
        | ~ ( in @ X1031 @ nat )
        | ~ ( in @ X1030 @ nat ) )
      & ( ( in @ ( esk35_2 @ X1030 @ X1031 ) @ nat )
        | ~ $true
        | ( X1030
          = ( n_pl @ X1031 @ ( esk34_2 @ X1030 @ X1031 ) ) )
        | ~ $true
        | $true
        | ~ $true
        | ~ ( in @ X1031 @ nat )
        | ~ ( in @ X1030 @ nat ) )
      & ( ( X1031
          = ( n_pl @ X1030 @ ( esk35_2 @ X1030 @ X1031 ) ) )
        | ~ $true
        | ( X1030
          = ( n_pl @ X1031 @ ( esk34_2 @ X1030 @ X1031 ) ) )
        | ~ $true
        | $true
        | ~ $true
        | ~ ( in @ X1031 @ nat )
        | ~ ( in @ X1030 @ nat ) )
      & ( $true
        | ~ $true
        | ( X1030
          = ( n_pl @ X1031 @ ( esk34_2 @ X1030 @ X1031 ) ) )
        | ~ $true
        | $true
        | ~ $true
        | ~ ( in @ X1031 @ nat )
        | ~ ( in @ X1030 @ nat ) )
      & ( ( in @ ( esk35_2 @ X1030 @ X1031 ) @ nat )
        | ~ $true
        | $true
        | ~ $true
        | $true
        | ~ $true
        | ~ ( in @ X1031 @ nat )
        | ~ ( in @ X1030 @ nat ) )
      & ( ( X1031
          = ( n_pl @ X1030 @ ( esk35_2 @ X1030 @ X1031 ) ) )
        | ~ $true
        | $true
        | ~ $true
        | $true
        | ~ $true
        | ~ ( in @ X1031 @ nat )
        | ~ ( in @ X1030 @ nat ) )
      & ( $true
        | ~ $true
        | $true
        | ~ $true
        | $true
        | ~ $true
        | ~ ( in @ X1031 @ nat )
        | ~ ( in @ X1030 @ nat ) )
      & ( ( in @ ( esk35_2 @ X1030 @ X1031 ) @ nat )
        | ~ $true
        | $true
        | $true
        | ~ $true
        | ~ ( in @ X1031 @ nat )
        | ~ ( in @ X1030 @ nat ) )
      & ( ( X1031
          = ( n_pl @ X1030 @ ( esk35_2 @ X1030 @ X1031 ) ) )
        | ~ $true
        | $true
        | $true
        | ~ $true
        | ~ ( in @ X1031 @ nat )
        | ~ ( in @ X1030 @ nat ) )
      & ( $true
        | ~ $true
        | $true
        | $true
        | ~ $true
        | ~ ( in @ X1031 @ nat )
        | ~ ( in @ X1030 @ nat ) )
      & ( ~ ( in @ X1034 @ nat )
        | ( X1030
         != ( n_pl @ X1031 @ X1034 ) )
        | ~ $true
        | ~ $true
        | ( X1030 != X1031 )
        | ~ $true
        | ~ $true
        | ~ ( in @ X1031 @ nat )
        | ~ ( in @ X1030 @ nat ) )
      & ( $true
        | ~ $true
        | ( X1030 != X1031 )
        | ~ $true
        | ~ $true
        | ~ ( in @ X1031 @ nat )
        | ~ ( in @ X1030 @ nat ) )
      & ( ~ ( in @ X1036 @ nat )
        | ( X1031
         != ( n_pl @ X1030 @ X1036 ) )
        | ~ $true
        | ~ $true
        | ~ ( in @ X1035 @ nat )
        | ( X1030
         != ( n_pl @ X1031 @ X1035 ) )
        | ~ $true
        | ~ $true
        | ~ $true
        | ~ $true
        | ~ ( in @ X1031 @ nat )
        | ~ ( in @ X1030 @ nat ) )
      & ( $true
        | ~ $true
        | ~ ( in @ X1035 @ nat )
        | ( X1030
         != ( n_pl @ X1031 @ X1035 ) )
        | ~ $true
        | ~ $true
        | ~ $true
        | ~ $true
        | ~ ( in @ X1031 @ nat )
        | ~ ( in @ X1030 @ nat ) )
      & ( ~ ( in @ X1036 @ nat )
        | ( X1031
         != ( n_pl @ X1030 @ X1036 ) )
        | ~ $true
        | ~ $true
        | $true
        | ~ $true
        | ~ $true
        | ~ $true
        | ~ ( in @ X1031 @ nat )
        | ~ ( in @ X1030 @ nat ) )
      & ( $true
        | ~ $true
        | $true
        | ~ $true
        | ~ $true
        | ~ $true
        | ~ ( in @ X1031 @ nat )
        | ~ ( in @ X1030 @ nat ) )
      & ( ~ ( in @ X1037 @ nat )
        | ( X1031
         != ( n_pl @ X1030 @ X1037 ) )
        | ~ $true
        | ( X1030 != X1031 )
        | ~ $true
        | ~ $true
        | ~ $true
        | ~ $true
        | ~ ( in @ X1031 @ nat )
        | ~ ( in @ X1030 @ nat ) )
      & ( $true
        | ( X1030 != X1031 )
        | ~ $true
        | ~ $true
        | ~ $true
        | ~ $true
        | ~ ( in @ X1031 @ nat )
        | ~ ( in @ X1030 @ nat ) )
      & ( $true
        | ~ $true
        | ~ $true
        | ~ $true
        | ~ ( in @ X1031 @ nat )
        | ~ ( in @ X1030 @ nat ) )
      & ( $true
        | ~ $true
        | ~ $true
        | ~ ( in @ X1031 @ nat )
        | ~ ( in @ X1030 @ nat ) )
      & ( $true
        | ~ $true
        | ~ ( in @ X1031 @ nat )
        | ~ ( in @ X1030 @ nat ) ) ),
    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_50])])])])])]) ).

thf(c_0_53,negated_conjecture,
    ! [X1: $i] :
      ( ~ ( in @ X1 @ nat )
      | ( esk36_0
       != ( n_pl @ esk37_0 @ X1 ) )
      | ~ $true
      | ~ $true ),
    inference(split_conjunct,[status(thm)],[c_0_51]) ).

thf(c_0_54,plain,
    ! [X1: $i,X4: $i] :
      ( ( X1
        = ( n_pl @ X4 @ ( esk35_2 @ X4 @ X1 ) ) )
      | ( X4
        = ( n_pl @ X1 @ ( esk34_2 @ X4 @ X1 ) ) )
      | ( X4 = X1 )
      | ~ $true
      | ~ $true
      | ~ $true
      | ~ ( in @ X1 @ nat )
      | ~ ( in @ X4 @ nat ) ),
    inference(split_conjunct,[status(thm)],[c_0_52]) ).

thf(c_0_55,negated_conjecture,
    ( ( esk36_0 != esk37_0 )
    | ~ $true ),
    inference(split_conjunct,[status(thm)],[c_0_51]) ).

thf(c_0_56,plain,
    ! [X1: $i,X4: $i] :
      ( ( X1
        = ( n_pl @ X4 @ ( esk35_2 @ X4 @ X1 ) ) )
      | ( in @ ( esk34_2 @ X4 @ X1 ) @ nat )
      | ( X4 = X1 )
      | ~ $true
      | ~ $true
      | ~ $true
      | ~ ( in @ X1 @ nat )
      | ~ ( in @ X4 @ nat ) ),
    inference(split_conjunct,[status(thm)],[c_0_52]) ).

thf(c_0_57,negated_conjecture,
    ! [X1: $i] :
      ( ( esk36_0
       != ( n_pl @ esk37_0 @ X1 ) )
      | ~ ( in @ X1 @ nat ) ),
    inference(cn,[status(thm)],[c_0_53]) ).

thf(c_0_58,plain,
    ! [X4: $i,X1: $i] :
      ( ( X1 = X4 )
      | ( X4
        = ( n_pl @ X1 @ ( esk34_2 @ X4 @ X1 ) ) )
      | ( X1
        = ( n_pl @ X4 @ ( esk35_2 @ X4 @ X1 ) ) )
      | ~ ( in @ X4 @ nat )
      | ~ ( in @ X1 @ nat ) ),
    inference(cn,[status(thm)],[c_0_54]) ).

thf(c_0_59,negated_conjecture,
    in @ esk37_0 @ nat,
    inference(split_conjunct,[status(thm)],[c_0_51]) ).

thf(c_0_60,negated_conjecture,
    in @ esk36_0 @ nat,
    inference(split_conjunct,[status(thm)],[c_0_51]) ).

thf(c_0_61,negated_conjecture,
    esk37_0 != esk36_0,
    inference(cn,[status(thm)],[c_0_55]) ).

thf(c_0_62,plain,
    ! [X4: $i,X1: $i] :
      ( ( in @ ( esk35_2 @ X1 @ X4 ) @ nat )
      | ( X1
        = ( n_pl @ X4 @ ( esk34_2 @ X1 @ X4 ) ) )
      | ( X1 = X4 )
      | ~ $true
      | ~ $true
      | ~ $true
      | ~ ( in @ X4 @ nat )
      | ~ ( in @ X1 @ nat ) ),
    inference(split_conjunct,[status(thm)],[c_0_52]) ).

thf(c_0_63,plain,
    ! [X4: $i,X1: $i] :
      ( ( X1 = X4 )
      | ( X1
        = ( n_pl @ X4 @ ( esk35_2 @ X4 @ X1 ) ) )
      | ( in @ ( esk34_2 @ X4 @ X1 ) @ nat )
      | ~ ( in @ X4 @ nat )
      | ~ ( in @ X1 @ nat ) ),
    inference(cn,[status(thm)],[c_0_56]) ).

thf(c_0_64,plain,
    ! [X4: $i,X1: $i] :
      ( ( in @ ( esk35_2 @ X1 @ X4 ) @ nat )
      | ( in @ ( esk34_2 @ X1 @ X4 ) @ nat )
      | ( X1 = X4 )
      | ~ $true
      | ~ $true
      | ~ $true
      | ~ ( in @ X4 @ nat )
      | ~ ( in @ X1 @ nat ) ),
    inference(split_conjunct,[status(thm)],[c_0_52]) ).

thf(c_0_65,negated_conjecture,
    ! [X1: $i] :
      ( ~ ( in @ X1 @ nat )
      | ( esk37_0
       != ( n_pl @ esk36_0 @ X1 ) )
      | ~ $true ),
    inference(split_conjunct,[status(thm)],[c_0_51]) ).

thf(c_0_66,negated_conjecture,
    ( ( ( n_pl @ esk36_0 @ ( esk34_2 @ esk37_0 @ esk36_0 ) )
      = esk37_0 )
    | ~ ( in @ ( esk35_2 @ esk37_0 @ esk36_0 ) @ nat ) ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(er,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_57,c_0_58]),c_0_59])])]),c_0_60])]),c_0_61]) ).

thf(c_0_67,plain,
    ! [X4: $i,X1: $i] :
      ( ( X1 = X4 )
      | ( X1
        = ( n_pl @ X4 @ ( esk34_2 @ X1 @ X4 ) ) )
      | ( in @ ( esk35_2 @ X1 @ X4 ) @ nat )
      | ~ ( in @ X4 @ nat )
      | ~ ( in @ X1 @ nat ) ),
    inference(cn,[status(thm)],[c_0_62]) ).

thf(c_0_68,negated_conjecture,
    ( ( in @ ( esk34_2 @ esk37_0 @ esk36_0 ) @ nat )
    | ~ ( in @ ( esk35_2 @ esk37_0 @ esk36_0 ) @ nat ) ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(er,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_57,c_0_63]),c_0_59])])]),c_0_60])]),c_0_61]) ).

thf(c_0_69,plain,
    ! [X4: $i,X1: $i] :
      ( ( X1 = X4 )
      | ( in @ ( esk34_2 @ X1 @ X4 ) @ nat )
      | ( in @ ( esk35_2 @ X1 @ X4 ) @ nat )
      | ~ ( in @ X4 @ nat )
      | ~ ( in @ X1 @ nat ) ),
    inference(cn,[status(thm)],[c_0_64]) ).

thf(c_0_70,negated_conjecture,
    ! [X1: $i] :
      ( ( esk37_0
       != ( n_pl @ esk36_0 @ X1 ) )
      | ~ ( in @ X1 @ nat ) ),
    inference(cn,[status(thm)],[c_0_65]) ).

thf(c_0_71,negated_conjecture,
    ( ( n_pl @ esk36_0 @ ( esk34_2 @ esk37_0 @ esk36_0 ) )
    = esk37_0 ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_66,c_0_67]),c_0_60]),c_0_59])]),c_0_61]) ).

thf(c_0_72,negated_conjecture,
    in @ ( esk34_2 @ esk37_0 @ esk36_0 ) @ nat,
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_68,c_0_69]),c_0_60]),c_0_59])]),c_0_61]) ).

thf(c_0_73,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_70,c_0_71]),c_0_72])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : NUM650^4 : TPTP v9.3.1. Released v7.1.0.
% 0.00/0.05  % Command  : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.07/0.18  % Computer : n007.cluster.edu
% 0.07/0.18  % Model    : x86_64 x86_64
% 0.07/0.18  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.18  % Memory   : 8046.5625MB
% 0.07/0.18  % OS       : Linux 6.8.0-71-generic
% 0.07/0.18  % CPULimit : 300
% 0.07/0.18  % WCLimit  : 300
% 0.07/0.18  % DateTime : Tue Sep 29 12:29:25 UTC 2026
% 0.07/0.18  % CPUTime  : 
% 0.07/0.18  Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.07/0.22  Running higher-order theorem proving
% 0.23/0.26  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.FTrjLUvoQI/E---3.1_3288583.p
% 1.26/0.50  % Version: 3.5.1-ho
% 1.26/0.50  % Preprocessing class: HSLMSMSSLLLCHSA.
% 1.26/0.50  % Scheduled 6 strats onto 8 cores with 300 seconds (2400 total)
% 1.26/0.50  % Starting lpo1_fix with 900s (3) cores
% 1.26/0.50  % Starting full_lambda_9 with 300s (1) cores
% 1.26/0.50  % Starting almost_fo_4 with 300s (1) cores
% 1.26/0.50  % Starting new_ho_9 with 300s (1) cores
% 1.26/0.50  % Starting pre_casc_4 with 300s (1) cores
% 1.26/0.50  % Starting ho_unfolding_6 with 300s (1) cores
% 1.26/0.50  % lpo1_fix with pid 3288596 completed with status 0
% 1.26/0.50  % Result found by lpo1_fix
% 1.26/0.50  % Preprocessing class: HSLMSMSSLLLCHSA.
% 1.26/0.50  % Scheduled 6 strats onto 8 cores with 300 seconds (2400 total)
% 1.26/0.50  % Starting lpo1_fix with 900s (3) cores
% 1.26/0.50  % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 1.26/0.50  % No SInE strategy applied
% 1.26/0.50  % Search class: HGHSM-FSLM32-MHSMMSBN
% 1.26/0.50  % Scheduled 11 strats onto 3 cores with 900 seconds (900 total)
% 1.26/0.50  % Starting SubtermCWHack with 91s (1) cores
% 1.26/0.50  % Starting full_lambda_5 with 82s (1) cores
% 1.26/0.50  % Starting new_ho_6 with 82s (1) cores
% 1.26/0.50  % full_lambda_5 with pid 3288607 completed with status 0
% 1.26/0.50  % Result found by full_lambda_5
% 1.26/0.50  % Preprocessing class: HSLMSMSSLLLCHSA.
% 1.26/0.50  % Scheduled 6 strats onto 8 cores with 300 seconds (2400 total)
% 1.26/0.50  % Starting lpo1_fix with 900s (3) cores
% 1.26/0.50  % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 1.26/0.50  % No SInE strategy applied
% 1.26/0.50  % Search class: HGHSM-FSLM32-MHSMMSBN
% 1.26/0.50  % Scheduled 11 strats onto 3 cores with 900 seconds (900 total)
% 1.26/0.50  % Starting SubtermCWHack with 91s (1) cores
% 1.26/0.50  % Starting full_lambda_5 with 82s (1) cores
% 1.26/0.50  % Preprocessing time       : 0.009 s
% 1.26/0.50  % Presaturation interreduction done
% 1.26/0.50  
% 1.26/0.50  % Proof found!
% 1.26/0.50  % SZS status Theorem
% 1.26/0.50  % SZS output start CNFRefutation
% See solution above
% 1.26/0.50  % Parsed axioms                        : 338
% 1.26/0.50  % Removed by relevancy pruning/SinE    : 0
% 1.26/0.50  % Initial clauses                      : 510
% 1.26/0.50  % Removed in clause preprocessing      : 215
% 1.26/0.50  % Initial clauses in saturation        : 295
% 1.26/0.50  % Processed clauses                    : 696
% 1.26/0.50  % ...of these trivial                  : 6
% 1.26/0.50  % ...subsumed                          : 69
% 1.26/0.50  % ...remaining for further processing  : 621
% 1.26/0.50  % Other redundant clauses eliminated   : 134
% 1.26/0.50  % Clauses deleted for lack of memory   : 0
% 1.26/0.50  % Backward-subsumed                    : 2
% 1.26/0.50  % Backward-rewritten                   : 10
% 1.26/0.50  % Generated clauses                    : 2813
% 1.26/0.50  % ...of the previous two non-redundant : 2599
% 1.26/0.50  % ...aggressively subsumed             : 0
% 1.26/0.50  % Contextual simplify-reflections      : 4
% 1.26/0.50  % Paramodulations                      : 2511
% 1.26/0.50  % Factorizations                       : 2
% 1.26/0.50  % NegExts                              : 10
% 1.26/0.50  % Equation resolutions                 : 139
% 1.26/0.50  % Disequality decompositions           : 0
% 1.26/0.50  % Total rewrite steps                  : 557
% 1.26/0.50  % ...of those cached                   : 397
% 1.26/0.50  % Propositional unsat checks           : 0
% 1.26/0.50  %    Propositional check models        : 0
% 1.26/0.50  %    Propositional check unsatisfiable : 0
% 1.26/0.50  %    Propositional clauses             : 0
% 1.26/0.50  %    Propositional clauses after purity: 0
% 1.26/0.50  %    Propositional unsat core size     : 0
% 1.26/0.50  %    Propositional preprocessing time  : 0.000
% 1.26/0.50  %    Propositional encoding time       : 0.000
% 1.26/0.50  %    Propositional solver time         : 0.000
% 1.26/0.50  %    Success case prop preproc time    : 0.000
% 1.26/0.50  %    Success case prop encoding time   : 0.000
% 1.26/0.50  %    Success case prop solver time     : 0.000
% 1.26/0.50  % Current number of processed clauses  : 314
% 1.26/0.50  %    Positive orientable unit clauses  : 104
% 1.26/0.50  %    Positive unorientable unit clauses: 4
% 1.26/0.50  %    Negative unit clauses             : 21
% 1.26/0.50  %    Non-unit-clauses                  : 185
% 1.26/0.50  % Current number of unprocessed clauses: 2462
% 1.26/0.50  % ...number of literals in the above   : 7746
% 1.26/0.50  % Current number of archived formulas  : 0
% 1.26/0.50  % Current number of archived clauses   : 286
% 1.26/0.50  % Clause-clause subsumption calls (NU) : 17783
% 1.26/0.50  % Rec. Clause-clause subsumption calls : 6325
% 1.26/0.50  % Non-unit clause-clause subsumptions  : 56
% 1.26/0.50  % Unit Clause-clause subsumption calls : 1833
% 1.26/0.50  % Rewrite failures with RHS unbound    : 0
% 1.26/0.50  % BW rewrite match attempts            : 94
% 1.26/0.50  % BW rewrite match successes           : 23
% 1.26/0.50  % Condensation attempts                : 0
% 1.26/0.50  % Condensation successes               : 0
% 1.26/0.50  % Termbank termtop insertions          : 110042
% 1.26/0.50  % Search garbage collected termcells   : 15279
% 1.26/0.50  
% 1.26/0.50  % -------------------------------------------------
% 1.26/0.50  % User time                : 0.178 s
% 1.26/0.50  % System time              : 0.018 s
% 1.26/0.50  % Total time               : 0.196 s
% 1.26/0.50  % Maximum resident set size: 6864 pages
% 1.26/0.50  
% 1.26/0.50  % -------------------------------------------------
% 1.26/0.50  % User time                : 0.341 s
% 1.26/0.50  % System time              : 0.044 s
% 1.26/0.50  % Total time               : 0.385 s
% 1.26/0.50  % Maximum resident set size: 5376 pages
% 1.26/0.50  % E exiting
%------------------------------------------------------------------------------