TSTP Solution File: NLP266^23 by E---3.1.00

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E---3.1.00
% Problem  : NLP266^23 : TPTP v8.2.0. Released v8.1.0.
% 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 : Tue May 21 00:55:48 EDT 2024

% Result   : Theorem 0.19s 0.55s
% Output   : CNFRefutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   16
%            Number of leaves      :   38
% Syntax   : Number of formulae    :   97 (  21 unt;  25 typ;   0 def)
%            Number of atoms       :  446 (  12 equ;   0 cnn)
%            Maximal formula atoms :   57 (   6 avg)
%            Number of connectives : 2046 ( 272   ~; 268   |;  32   &;1450   @)
%                                         (   0 <=>;  24  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   24 (  10 avg)
%            Number of types       :    3 (   1 usr)
%            Number of type conns  :   82 (  82   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   26 (  24 usr;   6 con; 0-4 aty)
%            Number of variables   :  201 (  38   ^ 154   !;   9   ?; 201   :)

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

thf(decl_22,type,
    mrel: mworld > mworld > $o ).

thf(decl_23,type,
    mactual: mworld ).

thf(decl_24,type,
    mlocal: ( mworld > $o ) > $o ).

thf(decl_26,type,
    mand: ( mworld > $o ) > ( mworld > $o ) > mworld > $o ).

thf(decl_28,type,
    mimplies: ( mworld > $o ) > ( mworld > $o ) > mworld > $o ).

thf(decl_30,type,
    mbox: ( mworld > $o ) > mworld > $o ).

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

thf(decl_33,type,
    mforall_di: ( $i > mworld > $o ) > mworld > $o ).

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

thf(decl_35,type,
    u: $i ).

thf(decl_36,type,
    one: $i ).

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

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

thf(decl_39,type,
    in: $i > $i > $i > mworld > $o ).

thf(decl_40,type,
    do: $i > $i > $i > mworld > $o ).

thf(decl_41,type,
    entry_box: $i > mworld > $o ).

thf(decl_42,type,
    userid: $i > $i > mworld > $o ).

thf(decl_44,type,
    esk2_1: mworld > $i ).

thf(decl_45,type,
    esk3_0: $i ).

thf(decl_46,type,
    esk4_4: mworld > $i > $i > $i > $i ).

thf(decl_47,type,
    esk5_0: mworld ).

thf(decl_48,type,
    esk6_4: $i > $i > $i > $i > mworld ).

thf(decl_49,type,
    esk7_4: $i > $i > $i > $i > mworld ).

thf(decl_50,type,
    esk8_4: $i > $i > $i > $i > $i ).

thf(mlocal_def,axiom,
    ( mlocal
    = ( ^ [X1: mworld > $o] : ( X1 @ mactual ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mlocal_def) ).

thf(mand_def,axiom,
    ( mand
    = ( ^ [X2: mworld > $o,X4: mworld > $o,X3: mworld] :
          ( ( X2 @ X3 )
          & ( X4 @ X3 ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mand_def) ).

thf(mimplies_def,axiom,
    ( mimplies
    = ( ^ [X2: mworld > $o,X4: mworld > $o,X3: mworld] :
          ( ( X2 @ X3 )
         => ( X4 @ X3 ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mimplies_def) ).

thf(mbox_def,axiom,
    ( mbox
    = ( ^ [X1: mworld > $o,X3: mworld] :
        ! [X5: mworld] :
          ( ( mrel @ X3 @ X5 )
         => ( X1 @ X5 ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mbox_def) ).

thf(mforall_di_def,axiom,
    ( mforall_di
    = ( ^ [X8: $i > mworld > $o,X3: mworld] :
        ! [X7: $i] :
          ( ( eiw_di @ X7 @ X3 )
         => ( X8 @ X7 @ X3 ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mforall_di_def) ).

thf(mexists_di_def,axiom,
    ( mexists_di
    = ( ^ [X9: $i > mworld > $o,X3: mworld] :
        ? [X7: $i] :
          ( ( eiw_di @ X7 @ X3 )
          & ( X9 @ X7 @ X3 ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mexists_di_def) ).

thf(mrel_euclidean,axiom,
    ! [X3: mworld,X5: mworld,X6: mworld] :
      ( ( ( mrel @ X3 @ X6 )
        & ( mrel @ X3 @ X5 ) )
     => ( mrel @ X6 @ X5 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mrel_euclidean) ).

thf(mrel_reflexive,axiom,
    ! [X3: mworld] : ( mrel @ X3 @ X3 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mrel_reflexive) ).

thf(con,conjecture,
    ( mlocal
    @ ( mbox
      @ ( mexists_di
        @ ^ [X10: $i] :
            ( mexists_di
            @ ^ [X16: $i] :
                ( mexists_di
                @ ^ [X17: $i] :
                    ( mexists_di
                    @ ^ [X12: $i] :
                        ( mand @ ( mbox @ ( mand @ ( userid @ u @ X10 ) @ ( mand @ ( entry_box @ X16 ) @ ( number @ X16 @ one ) ) ) )
                        @ ( mbox
                          @ ( mforall_di
                            @ ^ [X15: $i] : ( mimplies @ ( do @ X12 @ X17 @ X15 ) @ ( in @ X10 @ X16 @ X15 ) ) ) ) ) ) ) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',con) ).

thf(ax3,axiom,
    ( mlocal
    @ ( mbox
      @ ( mforall_di
        @ ^ [X12: $i] :
            ( mforall_di
            @ ^ [X10: $i] :
                ( mforall_di
                @ ^ [X13: $i] :
                    ( mimplies @ ( mand @ ( string @ X10 ) @ ( entry_box @ X13 ) )
                    @ ( mexists_di
                      @ ^ [X14: $i] :
                          ( mbox
                          @ ( mforall_di
                            @ ^ [X15: $i] : ( mimplies @ ( do @ X12 @ X14 @ X15 ) @ ( in @ X10 @ X13 @ X15 ) ) ) ) ) ) ) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax3) ).

thf(eiw_di_decr,axiom,
    ! [X3: mworld,X5: mworld,X7: $i] :
      ( ( ( eiw_di @ X7 @ X3 )
        & ( mrel @ X5 @ X3 ) )
     => ( eiw_di @ X7 @ X5 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',eiw_di_decr) ).

thf(ax2,axiom,
    ( mlocal
    @ ( mexists_di
      @ ^ [X11: $i] : ( mbox @ ( mand @ ( entry_box @ X11 ) @ ( number @ X11 @ one ) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax2) ).

thf(ax1,axiom,
    ( mlocal
    @ ( mbox
      @ ( mexists_di
        @ ^ [X10: $i] : ( mbox @ ( mand @ ( userid @ u @ X10 ) @ ( string @ X10 ) ) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax1) ).

thf(c_0_13,plain,
    ( mlocal
    = ( ^ [Z0: mworld > $o] : ( Z0 @ mactual ) ) ),
    inference(fof_simplification,[status(thm)],[mlocal_def]) ).

thf(c_0_14,plain,
    ( mand
    = ( ^ [Z0: mworld > $o,Z1: mworld > $o,Z2: mworld] :
          ( ( Z0 @ Z2 )
          & ( Z1 @ Z2 ) ) ) ),
    inference(fof_simplification,[status(thm)],[mand_def]) ).

thf(c_0_15,plain,
    ( mimplies
    = ( ^ [Z0: mworld > $o,Z1: mworld > $o,Z2: mworld] :
          ( ( Z0 @ Z2 )
         => ( Z1 @ Z2 ) ) ) ),
    inference(fof_simplification,[status(thm)],[mimplies_def]) ).

thf(c_0_16,plain,
    ( mbox
    = ( ^ [Z0: mworld > $o,Z1: mworld] :
        ! [X5: mworld] :
          ( ( mrel @ Z1 @ X5 )
         => ( Z0 @ X5 ) ) ) ),
    inference(fof_simplification,[status(thm)],[mbox_def]) ).

thf(c_0_17,plain,
    ( mforall_di
    = ( ^ [Z0: $i > mworld > $o,Z1: mworld] :
        ! [X7: $i] :
          ( ( eiw_di @ X7 @ Z1 )
         => ( Z0 @ X7 @ Z1 ) ) ) ),
    inference(fof_simplification,[status(thm)],[mforall_di_def]) ).

thf(c_0_18,plain,
    ( mexists_di
    = ( ^ [Z0: $i > mworld > $o,Z1: mworld] :
        ? [X7: $i] :
          ( ( eiw_di @ X7 @ Z1 )
          & ( Z0 @ X7 @ Z1 ) ) ) ),
    inference(fof_simplification,[status(thm)],[mexists_di_def]) ).

thf(c_0_19,plain,
    ! [X48: mworld,X49: mworld,X50: mworld] :
      ( ~ ( mrel @ X48 @ X50 )
      | ~ ( mrel @ X48 @ X49 )
      | ( mrel @ X50 @ X49 ) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mrel_euclidean])])]) ).

thf(c_0_20,plain,
    ! [X47: mworld] : ( mrel @ X47 @ X47 ),
    inference(variable_rename,[status(thm)],[mrel_reflexive]) ).

thf(c_0_21,negated_conjecture,
    ~ ! [X46: mworld] :
        ( ( mrel @ mactual @ X46 )
       => ? [X45: $i] :
            ( ( eiw_di @ X45 @ X46 )
            & ? [X44: $i] :
                ( ( eiw_di @ X44 @ X46 )
                & ? [X43: $i] :
                    ( ( eiw_di @ X43 @ X46 )
                    & ? [X42: $i] :
                        ( ( eiw_di @ X42 @ X46 )
                        & ! [X39: mworld] :
                            ( ( mrel @ X46 @ X39 )
                           => ( ( userid @ u @ X45 @ X39 )
                              & ( entry_box @ X44 @ X39 )
                              & ( number @ X44 @ one @ X39 ) ) )
                        & ! [X41: mworld] :
                            ( ( mrel @ X46 @ X41 )
                           => ! [X40: $i] :
                                ( ( eiw_di @ X40 @ X41 )
                               => ( ( do @ X42 @ X43 @ X40 @ X41 )
                                 => ( in @ X45 @ X44 @ X40 @ X41 ) ) ) ) ) ) ) ) ),
    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(apply_def,[status(thm)],[inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[con])]),c_0_13]),c_0_14]),c_0_15]),c_0_16]),c_0_17]),c_0_18]) ).

thf(c_0_22,plain,
    ! [X3: mworld,X5: mworld,X6: mworld] :
      ( ( mrel @ X5 @ X6 )
      | ~ ( mrel @ X3 @ X5 )
      | ~ ( mrel @ X3 @ X6 ) ),
    inference(split_conjunct,[status(thm)],[c_0_19]) ).

thf(c_0_23,plain,
    ! [X3: mworld] : ( mrel @ X3 @ X3 ),
    inference(split_conjunct,[status(thm)],[c_0_20]) ).

thf(c_0_24,negated_conjecture,
    ! [X69: $i,X70: $i,X71: $i,X72: $i] :
      ( ( mrel @ mactual @ esk5_0 )
      & ( ( mrel @ esk5_0 @ ( esk7_4 @ X69 @ X70 @ X71 @ X72 ) )
        | ( mrel @ esk5_0 @ ( esk6_4 @ X69 @ X70 @ X71 @ X72 ) )
        | ~ ( eiw_di @ X72 @ esk5_0 )
        | ~ ( eiw_di @ X71 @ esk5_0 )
        | ~ ( eiw_di @ X70 @ esk5_0 )
        | ~ ( eiw_di @ X69 @ esk5_0 ) )
      & ( ( eiw_di @ ( esk8_4 @ X69 @ X70 @ X71 @ X72 ) @ ( esk7_4 @ X69 @ X70 @ X71 @ X72 ) )
        | ( mrel @ esk5_0 @ ( esk6_4 @ X69 @ X70 @ X71 @ X72 ) )
        | ~ ( eiw_di @ X72 @ esk5_0 )
        | ~ ( eiw_di @ X71 @ esk5_0 )
        | ~ ( eiw_di @ X70 @ esk5_0 )
        | ~ ( eiw_di @ X69 @ esk5_0 ) )
      & ( ( do @ X72 @ X71 @ ( esk8_4 @ X69 @ X70 @ X71 @ X72 ) @ ( esk7_4 @ X69 @ X70 @ X71 @ X72 ) )
        | ( mrel @ esk5_0 @ ( esk6_4 @ X69 @ X70 @ X71 @ X72 ) )
        | ~ ( eiw_di @ X72 @ esk5_0 )
        | ~ ( eiw_di @ X71 @ esk5_0 )
        | ~ ( eiw_di @ X70 @ esk5_0 )
        | ~ ( eiw_di @ X69 @ esk5_0 ) )
      & ( ~ ( in @ X69 @ X70 @ ( esk8_4 @ X69 @ X70 @ X71 @ X72 ) @ ( esk7_4 @ X69 @ X70 @ X71 @ X72 ) )
        | ( mrel @ esk5_0 @ ( esk6_4 @ X69 @ X70 @ X71 @ X72 ) )
        | ~ ( eiw_di @ X72 @ esk5_0 )
        | ~ ( eiw_di @ X71 @ esk5_0 )
        | ~ ( eiw_di @ X70 @ esk5_0 )
        | ~ ( eiw_di @ X69 @ esk5_0 ) )
      & ( ( mrel @ esk5_0 @ ( esk7_4 @ X69 @ X70 @ X71 @ X72 ) )
        | ~ ( userid @ u @ X69 @ ( esk6_4 @ X69 @ X70 @ X71 @ X72 ) )
        | ~ ( entry_box @ X70 @ ( esk6_4 @ X69 @ X70 @ X71 @ X72 ) )
        | ~ ( number @ X70 @ one @ ( esk6_4 @ X69 @ X70 @ X71 @ X72 ) )
        | ~ ( eiw_di @ X72 @ esk5_0 )
        | ~ ( eiw_di @ X71 @ esk5_0 )
        | ~ ( eiw_di @ X70 @ esk5_0 )
        | ~ ( eiw_di @ X69 @ esk5_0 ) )
      & ( ( eiw_di @ ( esk8_4 @ X69 @ X70 @ X71 @ X72 ) @ ( esk7_4 @ X69 @ X70 @ X71 @ X72 ) )
        | ~ ( userid @ u @ X69 @ ( esk6_4 @ X69 @ X70 @ X71 @ X72 ) )
        | ~ ( entry_box @ X70 @ ( esk6_4 @ X69 @ X70 @ X71 @ X72 ) )
        | ~ ( number @ X70 @ one @ ( esk6_4 @ X69 @ X70 @ X71 @ X72 ) )
        | ~ ( eiw_di @ X72 @ esk5_0 )
        | ~ ( eiw_di @ X71 @ esk5_0 )
        | ~ ( eiw_di @ X70 @ esk5_0 )
        | ~ ( eiw_di @ X69 @ esk5_0 ) )
      & ( ( do @ X72 @ X71 @ ( esk8_4 @ X69 @ X70 @ X71 @ X72 ) @ ( esk7_4 @ X69 @ X70 @ X71 @ X72 ) )
        | ~ ( userid @ u @ X69 @ ( esk6_4 @ X69 @ X70 @ X71 @ X72 ) )
        | ~ ( entry_box @ X70 @ ( esk6_4 @ X69 @ X70 @ X71 @ X72 ) )
        | ~ ( number @ X70 @ one @ ( esk6_4 @ X69 @ X70 @ X71 @ X72 ) )
        | ~ ( eiw_di @ X72 @ esk5_0 )
        | ~ ( eiw_di @ X71 @ esk5_0 )
        | ~ ( eiw_di @ X70 @ esk5_0 )
        | ~ ( eiw_di @ X69 @ esk5_0 ) )
      & ( ~ ( in @ X69 @ X70 @ ( esk8_4 @ X69 @ X70 @ X71 @ X72 ) @ ( esk7_4 @ X69 @ X70 @ X71 @ X72 ) )
        | ~ ( userid @ u @ X69 @ ( esk6_4 @ X69 @ X70 @ X71 @ X72 ) )
        | ~ ( entry_box @ X70 @ ( esk6_4 @ X69 @ X70 @ X71 @ X72 ) )
        | ~ ( number @ X70 @ one @ ( esk6_4 @ X69 @ X70 @ X71 @ X72 ) )
        | ~ ( eiw_di @ X72 @ esk5_0 )
        | ~ ( eiw_di @ X71 @ esk5_0 )
        | ~ ( eiw_di @ X70 @ esk5_0 )
        | ~ ( eiw_di @ X69 @ esk5_0 ) ) ),
    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_21])])])])])]) ).

thf(c_0_25,plain,
    ! [X38: mworld] :
      ( ( mrel @ mactual @ X38 )
     => ! [X37: $i] :
          ( ( eiw_di @ X37 @ X38 )
         => ! [X36: $i] :
              ( ( eiw_di @ X36 @ X38 )
             => ! [X35: $i] :
                  ( ( eiw_di @ X35 @ X38 )
                 => ( ( ( string @ X36 @ X38 )
                      & ( entry_box @ X35 @ X38 ) )
                   => ? [X34: $i] :
                        ( ( eiw_di @ X34 @ X38 )
                        & ! [X33: mworld] :
                            ( ( mrel @ X38 @ X33 )
                           => ! [X32: $i] :
                                ( ( eiw_di @ X32 @ X33 )
                               => ( ( do @ X37 @ X34 @ X32 @ X33 )
                                 => ( in @ X36 @ X35 @ X32 @ X33 ) ) ) ) ) ) ) ) ) ),
    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(apply_def,[status(thm)],[inference(fof_simplification,[status(thm)],[ax3]),c_0_13]),c_0_14]),c_0_15]),c_0_16]),c_0_17]),c_0_18]) ).

thf(c_0_26,plain,
    ! [X53: mworld,X54: mworld,X55: $i] :
      ( ~ ( eiw_di @ X55 @ X53 )
      | ~ ( mrel @ X54 @ X53 )
      | ( eiw_di @ X55 @ X54 ) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[eiw_di_decr])])]) ).

thf(c_0_27,plain,
    ! [X5: mworld,X3: mworld] :
      ( ( mrel @ X3 @ X5 )
      | ~ ( mrel @ X5 @ X3 ) ),
    inference(spm,[status(thm)],[c_0_22,c_0_23]) ).

thf(c_0_28,negated_conjecture,
    mrel @ mactual @ esk5_0,
    inference(split_conjunct,[status(thm)],[c_0_24]) ).

thf(c_0_29,plain,
    ? [X31: $i] :
      ( ( eiw_di @ X31 @ mactual )
      & ! [X30: mworld] :
          ( ( mrel @ mactual @ X30 )
         => ( ( entry_box @ X31 @ X30 )
            & ( number @ X31 @ one @ X30 ) ) ) ),
    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)],[ax2]),c_0_13]),c_0_14]),c_0_16]),c_0_18]) ).

thf(c_0_30,plain,
    ! [X61: mworld,X62: $i,X63: $i,X64: $i,X66: mworld,X67: $i] :
      ( ( ( eiw_di @ ( esk4_4 @ X61 @ X62 @ X63 @ X64 ) @ X61 )
        | ~ ( string @ X63 @ X61 )
        | ~ ( entry_box @ X64 @ X61 )
        | ~ ( eiw_di @ X64 @ X61 )
        | ~ ( eiw_di @ X63 @ X61 )
        | ~ ( eiw_di @ X62 @ X61 )
        | ~ ( mrel @ mactual @ X61 ) )
      & ( ~ ( mrel @ X61 @ X66 )
        | ~ ( eiw_di @ X67 @ X66 )
        | ~ ( do @ X62 @ ( esk4_4 @ X61 @ X62 @ X63 @ X64 ) @ X67 @ X66 )
        | ( in @ X63 @ X64 @ X67 @ X66 )
        | ~ ( string @ X63 @ X61 )
        | ~ ( entry_box @ X64 @ X61 )
        | ~ ( eiw_di @ X64 @ X61 )
        | ~ ( eiw_di @ X63 @ X61 )
        | ~ ( eiw_di @ X62 @ X61 )
        | ~ ( mrel @ mactual @ X61 ) ) ),
    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_31,plain,
    ! [X7: $i,X5: mworld,X3: mworld] :
      ( ( eiw_di @ X7 @ X5 )
      | ~ ( eiw_di @ X7 @ X3 )
      | ~ ( mrel @ X5 @ X3 ) ),
    inference(split_conjunct,[status(thm)],[c_0_26]) ).

thf(c_0_32,negated_conjecture,
    mrel @ esk5_0 @ mactual,
    inference(spm,[status(thm)],[c_0_27,c_0_28]) ).

thf(c_0_33,plain,
    ! [X60: mworld] :
      ( ( eiw_di @ esk3_0 @ mactual )
      & ( ( entry_box @ esk3_0 @ X60 )
        | ~ ( mrel @ mactual @ X60 ) )
      & ( ( number @ esk3_0 @ one @ X60 )
        | ~ ( mrel @ mactual @ X60 ) ) ),
    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_29])])])])])]) ).

thf(c_0_34,plain,
    ! [X5: mworld,X12: $i,X11: $i,X10: $i,X7: $i,X3: mworld] :
      ( ( in @ X11 @ X12 @ X7 @ X5 )
      | ~ ( mrel @ X3 @ X5 )
      | ~ ( eiw_di @ X7 @ X5 )
      | ~ ( do @ X10 @ ( esk4_4 @ X3 @ X10 @ X11 @ X12 ) @ X7 @ X5 )
      | ~ ( string @ X11 @ X3 )
      | ~ ( entry_box @ X12 @ X3 )
      | ~ ( eiw_di @ X12 @ X3 )
      | ~ ( eiw_di @ X11 @ X3 )
      | ~ ( eiw_di @ X10 @ X3 )
      | ~ ( mrel @ mactual @ X3 ) ),
    inference(split_conjunct,[status(thm)],[c_0_30]) ).

thf(c_0_35,negated_conjecture,
    ! [X7: $i,X10: $i,X12: $i,X11: $i] :
      ( ( do @ X7 @ X10 @ ( esk8_4 @ X11 @ X12 @ X10 @ X7 ) @ ( esk7_4 @ X11 @ X12 @ X10 @ X7 ) )
      | ~ ( userid @ u @ X11 @ ( esk6_4 @ X11 @ X12 @ X10 @ X7 ) )
      | ~ ( entry_box @ X12 @ ( esk6_4 @ X11 @ X12 @ X10 @ X7 ) )
      | ~ ( number @ X12 @ one @ ( esk6_4 @ X11 @ X12 @ X10 @ X7 ) )
      | ~ ( eiw_di @ X7 @ esk5_0 )
      | ~ ( eiw_di @ X10 @ esk5_0 )
      | ~ ( eiw_di @ X12 @ esk5_0 )
      | ~ ( eiw_di @ X11 @ esk5_0 ) ),
    inference(split_conjunct,[status(thm)],[c_0_24]) ).

thf(c_0_36,negated_conjecture,
    ! [X12: $i,X11: $i,X10: $i,X7: $i] :
      ( ( eiw_di @ ( esk8_4 @ X7 @ X10 @ X11 @ X12 ) @ ( esk7_4 @ X7 @ X10 @ X11 @ X12 ) )
      | ~ ( userid @ u @ X7 @ ( esk6_4 @ X7 @ X10 @ X11 @ X12 ) )
      | ~ ( entry_box @ X10 @ ( esk6_4 @ X7 @ X10 @ X11 @ X12 ) )
      | ~ ( number @ X10 @ one @ ( esk6_4 @ X7 @ X10 @ X11 @ X12 ) )
      | ~ ( eiw_di @ X12 @ esk5_0 )
      | ~ ( eiw_di @ X11 @ esk5_0 )
      | ~ ( eiw_di @ X10 @ esk5_0 )
      | ~ ( eiw_di @ X7 @ esk5_0 ) ),
    inference(split_conjunct,[status(thm)],[c_0_24]) ).

thf(c_0_37,negated_conjecture,
    ! [X7: $i] :
      ( ( eiw_di @ X7 @ esk5_0 )
      | ~ ( eiw_di @ X7 @ mactual ) ),
    inference(spm,[status(thm)],[c_0_31,c_0_32]) ).

thf(c_0_38,plain,
    eiw_di @ esk3_0 @ mactual,
    inference(split_conjunct,[status(thm)],[c_0_33]) ).

thf(c_0_39,plain,
    ! [X29: mworld] :
      ( ( mrel @ mactual @ X29 )
     => ? [X28: $i] :
          ( ( eiw_di @ X28 @ X29 )
          & ! [X27: mworld] :
              ( ( mrel @ X29 @ X27 )
             => ( ( userid @ u @ X28 @ X27 )
                & ( string @ X28 @ X27 ) ) ) ) ),
    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)],[ax1]),c_0_13]),c_0_14]),c_0_16]),c_0_18]) ).

thf(c_0_40,negated_conjecture,
    ! [X12: $i,X11: $i,X10: $i,X7: $i] :
      ( ~ ( in @ X7 @ X10 @ ( esk8_4 @ X7 @ X10 @ X11 @ X12 ) @ ( esk7_4 @ X7 @ X10 @ X11 @ X12 ) )
      | ~ ( userid @ u @ X7 @ ( esk6_4 @ X7 @ X10 @ X11 @ X12 ) )
      | ~ ( entry_box @ X10 @ ( esk6_4 @ X7 @ X10 @ X11 @ X12 ) )
      | ~ ( number @ X10 @ one @ ( esk6_4 @ X7 @ X10 @ X11 @ X12 ) )
      | ~ ( eiw_di @ X12 @ esk5_0 )
      | ~ ( eiw_di @ X11 @ esk5_0 )
      | ~ ( eiw_di @ X10 @ esk5_0 )
      | ~ ( eiw_di @ X7 @ esk5_0 ) ),
    inference(split_conjunct,[status(thm)],[c_0_24]) ).

thf(c_0_41,negated_conjecture,
    ! [X11: $i,X13: $i,X12: $i,X10: $i,X7: $i,X3: mworld] :
      ( ( in @ X7 @ X10 @ ( esk8_4 @ X11 @ X12 @ ( esk4_4 @ X3 @ X13 @ X7 @ X10 ) @ X13 ) @ ( esk7_4 @ X11 @ X12 @ ( esk4_4 @ X3 @ X13 @ X7 @ X10 ) @ X13 ) )
      | ~ ( number @ X12 @ one @ ( esk6_4 @ X11 @ X12 @ ( esk4_4 @ X3 @ X13 @ X7 @ X10 ) @ X13 ) )
      | ~ ( userid @ u @ X11 @ ( esk6_4 @ X11 @ X12 @ ( esk4_4 @ X3 @ X13 @ X7 @ X10 ) @ X13 ) )
      | ~ ( mrel @ X3 @ ( esk7_4 @ X11 @ X12 @ ( esk4_4 @ X3 @ X13 @ X7 @ X10 ) @ X13 ) )
      | ~ ( entry_box @ X12 @ ( esk6_4 @ X11 @ X12 @ ( esk4_4 @ X3 @ X13 @ X7 @ X10 ) @ X13 ) )
      | ~ ( eiw_di @ ( esk4_4 @ X3 @ X13 @ X7 @ X10 ) @ esk5_0 )
      | ~ ( mrel @ mactual @ X3 )
      | ~ ( eiw_di @ X12 @ esk5_0 )
      | ~ ( eiw_di @ X11 @ esk5_0 )
      | ~ ( eiw_di @ X13 @ esk5_0 )
      | ~ ( eiw_di @ X10 @ X3 )
      | ~ ( eiw_di @ X7 @ X3 )
      | ~ ( eiw_di @ X13 @ X3 )
      | ~ ( string @ X7 @ X3 )
      | ~ ( entry_box @ X10 @ X3 ) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_34,c_0_35]),c_0_36]) ).

thf(c_0_42,negated_conjecture,
    ! [X12: $i,X11: $i,X10: $i,X7: $i] :
      ( ( mrel @ esk5_0 @ ( esk7_4 @ X7 @ X10 @ X11 @ X12 ) )
      | ~ ( userid @ u @ X7 @ ( esk6_4 @ X7 @ X10 @ X11 @ X12 ) )
      | ~ ( entry_box @ X10 @ ( esk6_4 @ X7 @ X10 @ X11 @ X12 ) )
      | ~ ( number @ X10 @ one @ ( esk6_4 @ X7 @ X10 @ X11 @ X12 ) )
      | ~ ( eiw_di @ X12 @ esk5_0 )
      | ~ ( eiw_di @ X11 @ esk5_0 )
      | ~ ( eiw_di @ X10 @ esk5_0 )
      | ~ ( eiw_di @ X7 @ esk5_0 ) ),
    inference(split_conjunct,[status(thm)],[c_0_24]) ).

thf(c_0_43,plain,
    ! [X3: mworld] :
      ( ( number @ esk3_0 @ one @ X3 )
      | ~ ( mrel @ mactual @ X3 ) ),
    inference(split_conjunct,[status(thm)],[c_0_33]) ).

thf(c_0_44,negated_conjecture,
    eiw_di @ esk3_0 @ esk5_0,
    inference(spm,[status(thm)],[c_0_37,c_0_38]) ).

thf(c_0_45,plain,
    ! [X3: mworld] :
      ( ( entry_box @ esk3_0 @ X3 )
      | ~ ( mrel @ mactual @ X3 ) ),
    inference(split_conjunct,[status(thm)],[c_0_33]) ).

thf(c_0_46,plain,
    ! [X56: mworld,X58: mworld] :
      ( ( ( eiw_di @ ( esk2_1 @ X56 ) @ X56 )
        | ~ ( mrel @ mactual @ X56 ) )
      & ( ( userid @ u @ ( esk2_1 @ X56 ) @ X58 )
        | ~ ( mrel @ X56 @ X58 )
        | ~ ( mrel @ mactual @ X56 ) )
      & ( ( string @ ( esk2_1 @ X56 ) @ X58 )
        | ~ ( mrel @ X56 @ X58 )
        | ~ ( mrel @ mactual @ X56 ) ) ),
    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_39])])])])])]) ).

thf(c_0_47,negated_conjecture,
    ! [X7: $i,X10: $i,X12: $i,X11: $i] :
      ( ( do @ X7 @ X10 @ ( esk8_4 @ X11 @ X12 @ X10 @ X7 ) @ ( esk7_4 @ X11 @ X12 @ X10 @ X7 ) )
      | ( mrel @ esk5_0 @ ( esk6_4 @ X11 @ X12 @ X10 @ X7 ) )
      | ~ ( eiw_di @ X7 @ esk5_0 )
      | ~ ( eiw_di @ X10 @ esk5_0 )
      | ~ ( eiw_di @ X12 @ esk5_0 )
      | ~ ( eiw_di @ X11 @ esk5_0 ) ),
    inference(split_conjunct,[status(thm)],[c_0_24]) ).

thf(c_0_48,negated_conjecture,
    ! [X12: $i,X11: $i,X10: $i,X7: $i] :
      ( ( eiw_di @ ( esk8_4 @ X7 @ X10 @ X11 @ X12 ) @ ( esk7_4 @ X7 @ X10 @ X11 @ X12 ) )
      | ( mrel @ esk5_0 @ ( esk6_4 @ X7 @ X10 @ X11 @ X12 ) )
      | ~ ( eiw_di @ X12 @ esk5_0 )
      | ~ ( eiw_di @ X11 @ esk5_0 )
      | ~ ( eiw_di @ X10 @ esk5_0 )
      | ~ ( eiw_di @ X7 @ esk5_0 ) ),
    inference(split_conjunct,[status(thm)],[c_0_24]) ).

thf(c_0_49,negated_conjecture,
    ! [X11: $i,X10: $i,X7: $i,X3: mworld] :
      ( ~ ( number @ X7 @ one @ ( esk6_4 @ X10 @ X7 @ ( esk4_4 @ X3 @ X11 @ X10 @ X7 ) @ X11 ) )
      | ~ ( userid @ u @ X10 @ ( esk6_4 @ X10 @ X7 @ ( esk4_4 @ X3 @ X11 @ X10 @ X7 ) @ X11 ) )
      | ~ ( entry_box @ X7 @ ( esk6_4 @ X10 @ X7 @ ( esk4_4 @ X3 @ X11 @ X10 @ X7 ) @ X11 ) )
      | ~ ( mrel @ X3 @ ( esk7_4 @ X10 @ X7 @ ( esk4_4 @ X3 @ X11 @ X10 @ X7 ) @ X11 ) )
      | ~ ( eiw_di @ ( esk4_4 @ X3 @ X11 @ X10 @ X7 ) @ esk5_0 )
      | ~ ( eiw_di @ X11 @ esk5_0 )
      | ~ ( eiw_di @ X7 @ esk5_0 )
      | ~ ( eiw_di @ X10 @ esk5_0 )
      | ~ ( mrel @ mactual @ X3 )
      | ~ ( eiw_di @ X7 @ X3 )
      | ~ ( eiw_di @ X10 @ X3 )
      | ~ ( eiw_di @ X11 @ X3 )
      | ~ ( string @ X10 @ X3 )
      | ~ ( entry_box @ X7 @ X3 ) ),
    inference(spm,[status(thm)],[c_0_40,c_0_41]) ).

thf(c_0_50,negated_conjecture,
    ! [X11: $i,X10: $i,X7: $i] :
      ( ( mrel @ esk5_0 @ ( esk7_4 @ X7 @ esk3_0 @ X10 @ X11 ) )
      | ~ ( userid @ u @ X7 @ ( esk6_4 @ X7 @ esk3_0 @ X10 @ X11 ) )
      | ~ ( mrel @ mactual @ ( esk6_4 @ X7 @ esk3_0 @ X10 @ X11 ) )
      | ~ ( eiw_di @ X11 @ esk5_0 )
      | ~ ( eiw_di @ X10 @ esk5_0 )
      | ~ ( eiw_di @ X7 @ esk5_0 ) ),
    inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_42,c_0_43]),c_0_44])]),c_0_45]) ).

thf(c_0_51,plain,
    ! [X5: mworld,X3: mworld] :
      ( ( userid @ u @ ( esk2_1 @ X3 ) @ X5 )
      | ~ ( mrel @ X3 @ X5 )
      | ~ ( mrel @ mactual @ X3 ) ),
    inference(split_conjunct,[status(thm)],[c_0_46]) ).

thf(c_0_52,negated_conjecture,
    ! [X12: $i,X11: $i,X10: $i,X7: $i] :
      ( ( mrel @ esk5_0 @ ( esk6_4 @ X7 @ X10 @ X11 @ X12 ) )
      | ~ ( in @ X7 @ X10 @ ( esk8_4 @ X7 @ X10 @ X11 @ X12 ) @ ( esk7_4 @ X7 @ X10 @ X11 @ X12 ) )
      | ~ ( eiw_di @ X12 @ esk5_0 )
      | ~ ( eiw_di @ X11 @ esk5_0 )
      | ~ ( eiw_di @ X10 @ esk5_0 )
      | ~ ( eiw_di @ X7 @ esk5_0 ) ),
    inference(split_conjunct,[status(thm)],[c_0_24]) ).

thf(c_0_53,negated_conjecture,
    ! [X11: $i,X13: $i,X12: $i,X10: $i,X7: $i,X3: mworld] :
      ( ( in @ X7 @ X10 @ ( esk8_4 @ X11 @ X12 @ ( esk4_4 @ X3 @ X13 @ X7 @ X10 ) @ X13 ) @ ( esk7_4 @ X11 @ X12 @ ( esk4_4 @ X3 @ X13 @ X7 @ X10 ) @ X13 ) )
      | ( mrel @ esk5_0 @ ( esk6_4 @ X11 @ X12 @ ( esk4_4 @ X3 @ X13 @ X7 @ X10 ) @ X13 ) )
      | ~ ( mrel @ X3 @ ( esk7_4 @ X11 @ X12 @ ( esk4_4 @ X3 @ X13 @ X7 @ X10 ) @ X13 ) )
      | ~ ( eiw_di @ ( esk4_4 @ X3 @ X13 @ X7 @ X10 ) @ esk5_0 )
      | ~ ( mrel @ mactual @ X3 )
      | ~ ( eiw_di @ X12 @ esk5_0 )
      | ~ ( eiw_di @ X11 @ esk5_0 )
      | ~ ( eiw_di @ X13 @ esk5_0 )
      | ~ ( eiw_di @ X10 @ X3 )
      | ~ ( eiw_di @ X7 @ X3 )
      | ~ ( eiw_di @ X13 @ X3 )
      | ~ ( string @ X7 @ X3 )
      | ~ ( entry_box @ X10 @ X3 ) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_34,c_0_47]),c_0_48]) ).

thf(c_0_54,negated_conjecture,
    ! [X10: $i,X7: $i,X3: mworld] :
      ( ~ ( userid @ u @ X7 @ ( esk6_4 @ X7 @ esk3_0 @ ( esk4_4 @ X3 @ X10 @ X7 @ esk3_0 ) @ X10 ) )
      | ~ ( mrel @ mactual @ ( esk6_4 @ X7 @ esk3_0 @ ( esk4_4 @ X3 @ X10 @ X7 @ esk3_0 ) @ X10 ) )
      | ~ ( mrel @ X3 @ ( esk7_4 @ X7 @ esk3_0 @ ( esk4_4 @ X3 @ X10 @ X7 @ esk3_0 ) @ X10 ) )
      | ~ ( eiw_di @ ( esk4_4 @ X3 @ X10 @ X7 @ esk3_0 ) @ esk5_0 )
      | ~ ( eiw_di @ X10 @ esk5_0 )
      | ~ ( eiw_di @ X7 @ esk5_0 )
      | ~ ( mrel @ mactual @ X3 )
      | ~ ( eiw_di @ esk3_0 @ X3 )
      | ~ ( eiw_di @ X7 @ X3 )
      | ~ ( eiw_di @ X10 @ X3 )
      | ~ ( string @ X7 @ X3 ) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_43]),c_0_44])]),c_0_45]),c_0_45]) ).

thf(c_0_55,negated_conjecture,
    ! [X10: $i,X7: $i,X3: mworld] :
      ( ( mrel @ esk5_0 @ ( esk7_4 @ ( esk2_1 @ X3 ) @ esk3_0 @ X7 @ X10 ) )
      | ~ ( mrel @ mactual @ ( esk6_4 @ ( esk2_1 @ X3 ) @ esk3_0 @ X7 @ X10 ) )
      | ~ ( eiw_di @ ( esk2_1 @ X3 ) @ esk5_0 )
      | ~ ( eiw_di @ X10 @ esk5_0 )
      | ~ ( eiw_di @ X7 @ esk5_0 )
      | ~ ( mrel @ mactual @ X3 ) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_50,c_0_51]),c_0_22]) ).

thf(c_0_56,negated_conjecture,
    ! [X11: $i,X10: $i,X7: $i,X3: mworld] :
      ( ( mrel @ esk5_0 @ ( esk6_4 @ X7 @ X10 @ ( esk4_4 @ X3 @ X11 @ X7 @ X10 ) @ X11 ) )
      | ~ ( mrel @ X3 @ ( esk7_4 @ X7 @ X10 @ ( esk4_4 @ X3 @ X11 @ X7 @ X10 ) @ X11 ) )
      | ~ ( eiw_di @ ( esk4_4 @ X3 @ X11 @ X7 @ X10 ) @ esk5_0 )
      | ~ ( eiw_di @ X11 @ esk5_0 )
      | ~ ( eiw_di @ X10 @ esk5_0 )
      | ~ ( eiw_di @ X7 @ esk5_0 )
      | ~ ( mrel @ mactual @ X3 )
      | ~ ( eiw_di @ X10 @ X3 )
      | ~ ( eiw_di @ X7 @ X3 )
      | ~ ( eiw_di @ X11 @ X3 )
      | ~ ( string @ X7 @ X3 )
      | ~ ( entry_box @ X10 @ X3 ) ),
    inference(spm,[status(thm)],[c_0_52,c_0_53]) ).

thf(c_0_57,negated_conjecture,
    ! [X12: $i,X11: $i,X10: $i,X7: $i] :
      ( ( mrel @ esk5_0 @ ( esk7_4 @ X7 @ X10 @ X11 @ X12 ) )
      | ( mrel @ esk5_0 @ ( esk6_4 @ X7 @ X10 @ X11 @ X12 ) )
      | ~ ( eiw_di @ X12 @ esk5_0 )
      | ~ ( eiw_di @ X11 @ esk5_0 )
      | ~ ( eiw_di @ X10 @ esk5_0 )
      | ~ ( eiw_di @ X7 @ esk5_0 ) ),
    inference(split_conjunct,[status(thm)],[c_0_24]) ).

thf(c_0_58,negated_conjecture,
    ! [X3: mworld,X7: $i,X5: mworld] :
      ( ~ ( mrel @ mactual @ ( esk6_4 @ ( esk2_1 @ X3 ) @ esk3_0 @ ( esk4_4 @ X5 @ X7 @ ( esk2_1 @ X3 ) @ esk3_0 ) @ X7 ) )
      | ~ ( mrel @ X5 @ ( esk7_4 @ ( esk2_1 @ X3 ) @ esk3_0 @ ( esk4_4 @ X5 @ X7 @ ( esk2_1 @ X3 ) @ esk3_0 ) @ X7 ) )
      | ~ ( eiw_di @ ( esk4_4 @ X5 @ X7 @ ( esk2_1 @ X3 ) @ esk3_0 ) @ esk5_0 )
      | ~ ( eiw_di @ ( esk2_1 @ X3 ) @ esk5_0 )
      | ~ ( eiw_di @ ( esk2_1 @ X3 ) @ X5 )
      | ~ ( string @ ( esk2_1 @ X3 ) @ X5 )
      | ~ ( eiw_di @ X7 @ esk5_0 )
      | ~ ( mrel @ mactual @ X5 )
      | ~ ( eiw_di @ esk3_0 @ X5 )
      | ~ ( mrel @ mactual @ X3 )
      | ~ ( eiw_di @ X7 @ X5 ) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_54,c_0_51]),c_0_22]) ).

thf(c_0_59,negated_conjecture,
    ! [X3: mworld,X10: $i,X7: $i,X5: mworld] :
      ( ( mrel @ X3 @ ( esk7_4 @ ( esk2_1 @ X5 ) @ esk3_0 @ X7 @ X10 ) )
      | ~ ( mrel @ mactual @ ( esk6_4 @ ( esk2_1 @ X5 ) @ esk3_0 @ X7 @ X10 ) )
      | ~ ( eiw_di @ ( esk2_1 @ X5 ) @ esk5_0 )
      | ~ ( mrel @ esk5_0 @ X3 )
      | ~ ( eiw_di @ X10 @ esk5_0 )
      | ~ ( eiw_di @ X7 @ esk5_0 )
      | ~ ( mrel @ mactual @ X5 ) ),
    inference(spm,[status(thm)],[c_0_22,c_0_55]) ).

thf(c_0_60,negated_conjecture,
    ! [X7: $i,X11: $i,X10: $i] :
      ( ( mrel @ esk5_0 @ ( esk6_4 @ X7 @ X10 @ ( esk4_4 @ esk5_0 @ X11 @ X7 @ X10 ) @ X11 ) )
      | ~ ( eiw_di @ ( esk4_4 @ esk5_0 @ X11 @ X7 @ X10 ) @ esk5_0 )
      | ~ ( eiw_di @ X11 @ esk5_0 )
      | ~ ( eiw_di @ X10 @ esk5_0 )
      | ~ ( eiw_di @ X7 @ esk5_0 )
      | ~ ( string @ X7 @ esk5_0 )
      | ~ ( entry_box @ X10 @ esk5_0 ) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_56,c_0_57]),c_0_28])]) ).

thf(c_0_61,negated_conjecture,
    ! [X3: mworld,X7: $i,X5: mworld] :
      ( ~ ( mrel @ mactual @ ( esk6_4 @ ( esk2_1 @ X3 ) @ esk3_0 @ ( esk4_4 @ X5 @ X7 @ ( esk2_1 @ X3 ) @ esk3_0 ) @ X7 ) )
      | ~ ( eiw_di @ ( esk4_4 @ X5 @ X7 @ ( esk2_1 @ X3 ) @ esk3_0 ) @ esk5_0 )
      | ~ ( eiw_di @ ( esk2_1 @ X3 ) @ X5 )
      | ~ ( string @ ( esk2_1 @ X3 ) @ X5 )
      | ~ ( mrel @ mactual @ X5 )
      | ~ ( eiw_di @ esk3_0 @ X5 )
      | ~ ( mrel @ mactual @ X3 )
      | ~ ( mrel @ esk5_0 @ X5 )
      | ~ ( eiw_di @ X7 @ X5 ) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_58,c_0_59]),c_0_31]),c_0_31]) ).

thf(c_0_62,negated_conjecture,
    ! [X3: mworld,X7: $i,X11: $i,X10: $i] :
      ( ( mrel @ X3 @ ( esk6_4 @ X7 @ X10 @ ( esk4_4 @ esk5_0 @ X11 @ X7 @ X10 ) @ X11 ) )
      | ~ ( eiw_di @ ( esk4_4 @ esk5_0 @ X11 @ X7 @ X10 ) @ esk5_0 )
      | ~ ( mrel @ esk5_0 @ X3 )
      | ~ ( eiw_di @ X11 @ esk5_0 )
      | ~ ( eiw_di @ X10 @ esk5_0 )
      | ~ ( eiw_di @ X7 @ esk5_0 )
      | ~ ( string @ X7 @ esk5_0 )
      | ~ ( entry_box @ X10 @ esk5_0 ) ),
    inference(spm,[status(thm)],[c_0_22,c_0_60]) ).

thf(c_0_63,negated_conjecture,
    ! [X3: mworld,X7: $i] :
      ( ~ ( eiw_di @ ( esk4_4 @ esk5_0 @ X7 @ ( esk2_1 @ X3 ) @ esk3_0 ) @ esk5_0 )
      | ~ ( eiw_di @ ( esk2_1 @ X3 ) @ esk5_0 )
      | ~ ( string @ ( esk2_1 @ X3 ) @ esk5_0 )
      | ~ ( entry_box @ esk3_0 @ esk5_0 )
      | ~ ( mrel @ mactual @ X3 )
      | ~ ( eiw_di @ X7 @ esk5_0 ) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_61,c_0_62]),c_0_28]),c_0_44]),c_0_23]),c_0_32])]) ).

thf(c_0_64,plain,
    ! [X11: $i,X10: $i,X7: $i,X3: mworld] :
      ( ( eiw_di @ ( esk4_4 @ X3 @ X7 @ X10 @ X11 ) @ X3 )
      | ~ ( string @ X10 @ X3 )
      | ~ ( entry_box @ X11 @ X3 )
      | ~ ( eiw_di @ X11 @ X3 )
      | ~ ( eiw_di @ X10 @ X3 )
      | ~ ( eiw_di @ X7 @ X3 )
      | ~ ( mrel @ mactual @ X3 ) ),
    inference(split_conjunct,[status(thm)],[c_0_30]) ).

thf(c_0_65,negated_conjecture,
    ! [X3: mworld] :
      ( ~ ( eiw_di @ ( esk2_1 @ X3 ) @ esk5_0 )
      | ~ ( string @ ( esk2_1 @ X3 ) @ esk5_0 )
      | ~ ( entry_box @ esk3_0 @ esk5_0 )
      | ~ ( mrel @ mactual @ X3 ) ),
    inference(condense,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_63,c_0_64]),c_0_28]),c_0_44])])]) ).

thf(c_0_66,plain,
    ! [X5: mworld,X3: mworld] :
      ( ( string @ ( esk2_1 @ X3 ) @ X5 )
      | ~ ( mrel @ X3 @ X5 )
      | ~ ( mrel @ mactual @ X3 ) ),
    inference(split_conjunct,[status(thm)],[c_0_46]) ).

thf(c_0_67,negated_conjecture,
    ! [X3: mworld] :
      ( ( mrel @ X3 @ esk5_0 )
      | ~ ( mrel @ mactual @ X3 ) ),
    inference(spm,[status(thm)],[c_0_22,c_0_28]) ).

thf(c_0_68,negated_conjecture,
    ! [X3: mworld] :
      ( ~ ( eiw_di @ ( esk2_1 @ X3 ) @ esk5_0 )
      | ~ ( entry_box @ esk3_0 @ esk5_0 )
      | ~ ( mrel @ mactual @ X3 ) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_65,c_0_66]),c_0_67]) ).

thf(c_0_69,plain,
    ! [X3: mworld] :
      ( ( eiw_di @ ( esk2_1 @ X3 ) @ X3 )
      | ~ ( mrel @ mactual @ X3 ) ),
    inference(split_conjunct,[status(thm)],[c_0_46]) ).

thf(c_0_70,negated_conjecture,
    ~ ( entry_box @ esk3_0 @ esk5_0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_68,c_0_69]),c_0_28])]) ).

thf(c_0_71,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_70,c_0_45]),c_0_28])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem    : NLP266^23 : TPTP v8.2.0. Released v8.1.0.
% 0.11/0.13  % Command    : run_E %s %d THM
% 0.13/0.34  % Computer : n014.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   : Sun May 19 21:38:53 EDT 2024
% 0.13/0.34  % CPUTime    : 
% 0.19/0.47  Running higher-order theorem proving
% 0.19/0.47  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
% 0.19/0.55  # Version: 3.1.0-ho
% 0.19/0.55  # Preprocessing class: HSMSSMSSMLLNHSN.
% 0.19/0.55  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.19/0.55  # Starting new_ho_10_cnf2 with 1500s (5) cores
% 0.19/0.55  # Starting post_as_ho3 with 300s (1) cores
% 0.19/0.55  # Starting new_ho_12 with 300s (1) cores
% 0.19/0.55  # Starting new_bool_2 with 300s (1) cores
% 0.19/0.55  # new_ho_10_cnf2 with pid 25414 completed with status 0
% 0.19/0.55  # Result found by new_ho_10_cnf2
% 0.19/0.55  # Preprocessing class: HSMSSMSSMLLNHSN.
% 0.19/0.55  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.19/0.55  # Starting new_ho_10_cnf2 with 1500s (5) cores
% 0.19/0.55  # No SInE strategy applied
% 0.19/0.55  # Search class: HGHNS-FFMF33-SHSSMFNN
% 0.19/0.55  # partial match(2): HGHNS-FSLF33-SHSSMFNN
% 0.19/0.55  # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 0.19/0.55  # Starting new_ho_15 with 811s (1) cores
% 0.19/0.55  # Starting new_ho_10_cnf2 with 151s (1) cores
% 0.19/0.55  # Starting sh5l with 136s (1) cores
% 0.19/0.55  # Starting ehoh_best8_lambda with 136s (1) cores
% 0.19/0.55  # Starting new_bool_3 with 136s (1) cores
% 0.19/0.55  # new_ho_10_cnf2 with pid 25420 completed with status 0
% 0.19/0.55  # Result found by new_ho_10_cnf2
% 0.19/0.55  # Preprocessing class: HSMSSMSSMLLNHSN.
% 0.19/0.55  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.19/0.55  # Starting new_ho_10_cnf2 with 1500s (5) cores
% 0.19/0.55  # No SInE strategy applied
% 0.19/0.55  # Search class: HGHNS-FFMF33-SHSSMFNN
% 0.19/0.55  # partial match(2): HGHNS-FSLF33-SHSSMFNN
% 0.19/0.55  # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 0.19/0.55  # Starting new_ho_15 with 811s (1) cores
% 0.19/0.55  # Starting new_ho_10_cnf2 with 151s (1) cores
% 0.19/0.55  # Preprocessing time       : 0.002 s
% 0.19/0.55  # Presaturation interreduction done
% 0.19/0.55  
% 0.19/0.55  # Proof found!
% 0.19/0.55  # SZS status Theorem
% 0.19/0.55  # SZS output start CNFRefutation
% See solution above
% 0.19/0.55  # Parsed axioms                        : 40
% 0.19/0.55  # Removed by relevancy pruning/SinE    : 0
% 0.19/0.55  # Initial clauses                      : 43
% 0.19/0.55  # Removed in clause preprocessing      : 22
% 0.19/0.55  # Initial clauses in saturation        : 21
% 0.19/0.55  # Processed clauses                    : 194
% 0.19/0.55  # ...of these trivial                  : 0
% 0.19/0.55  # ...subsumed                          : 37
% 0.19/0.55  # ...remaining for further processing  : 157
% 0.19/0.55  # Other redundant clauses eliminated   : 0
% 0.19/0.55  # Clauses deleted for lack of memory   : 0
% 0.19/0.55  # Backward-subsumed                    : 5
% 0.19/0.55  # Backward-rewritten                   : 0
% 0.19/0.55  # Generated clauses                    : 803
% 0.19/0.55  # ...of the previous two non-redundant : 719
% 0.19/0.55  # ...aggressively subsumed             : 0
% 0.19/0.55  # Contextual simplify-reflections      : 27
% 0.19/0.55  # Paramodulations                      : 803
% 0.19/0.55  # Factorizations                       : 0
% 0.19/0.55  # NegExts                              : 0
% 0.19/0.55  # Equation resolutions                 : 0
% 0.19/0.55  # Disequality decompositions           : 0
% 0.19/0.55  # Total rewrite steps                  : 354
% 0.19/0.55  # ...of those cached                   : 347
% 0.19/0.55  # Propositional unsat checks           : 0
% 0.19/0.55  #    Propositional check models        : 0
% 0.19/0.55  #    Propositional check unsatisfiable : 0
% 0.19/0.55  #    Propositional clauses             : 0
% 0.19/0.55  #    Propositional clauses after purity: 0
% 0.19/0.55  #    Propositional unsat core size     : 0
% 0.19/0.55  #    Propositional preprocessing time  : 0.000
% 0.19/0.55  #    Propositional encoding time       : 0.000
% 0.19/0.55  #    Propositional solver time         : 0.000
% 0.19/0.55  #    Success case prop preproc time    : 0.000
% 0.19/0.55  #    Success case prop encoding time   : 0.000
% 0.19/0.55  #    Success case prop solver time     : 0.000
% 0.19/0.55  # Current number of processed clauses  : 131
% 0.19/0.55  #    Positive orientable unit clauses  : 8
% 0.19/0.55  #    Positive unorientable unit clauses: 0
% 0.19/0.55  #    Negative unit clauses             : 1
% 0.19/0.55  #    Non-unit-clauses                  : 122
% 0.19/0.55  # Current number of unprocessed clauses: 567
% 0.19/0.55  # ...number of literals in the above   : 5253
% 0.19/0.55  # Current number of archived formulas  : 0
% 0.19/0.55  # Current number of archived clauses   : 26
% 0.19/0.55  # Clause-clause subsumption calls (NU) : 7099
% 0.19/0.55  # Rec. Clause-clause subsumption calls : 2194
% 0.19/0.55  # Non-unit clause-clause subsumptions  : 73
% 0.19/0.55  # Unit Clause-clause subsumption calls : 26
% 0.19/0.55  # Rewrite failures with RHS unbound    : 0
% 0.19/0.55  # BW rewrite match attempts            : 2
% 0.19/0.55  # BW rewrite match successes           : 0
% 0.19/0.55  # Condensation attempts                : 194
% 0.19/0.55  # Condensation successes               : 5
% 0.19/0.55  # Termbank termtop insertions          : 64084
% 0.19/0.55  # Search garbage collected termcells   : 1620
% 0.19/0.55  
% 0.19/0.55  # -------------------------------------------------
% 0.19/0.55  # User time                : 0.073 s
% 0.19/0.55  # System time              : 0.003 s
% 0.19/0.55  # Total time               : 0.076 s
% 0.19/0.55  # Maximum resident set size: 2068 pages
% 0.19/0.55  
% 0.19/0.55  # -------------------------------------------------
% 0.19/0.55  # User time                : 0.346 s
% 0.19/0.55  # System time              : 0.018 s
% 0.19/0.55  # Total time               : 0.364 s
% 0.19/0.55  # Maximum resident set size: 1776 pages
% 0.19/0.55  % E---3.1 exiting
% 0.19/0.56  % E exiting
%------------------------------------------------------------------------------