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E-SAT---3.5.1.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : E-SAT---3.5.1
% Problem  : GEG008^1 : TPTP v9.3.1. Released v4.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM

% Computer : n013.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 07:49:21 AM UTC 2026

% Result   : Theorem 0.24s 0.29s
% Output   : CNFRefutation 0.24s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   20
%            Number of leaves      :   19
% Syntax   : Number of formulae    :   83 (  47 unt;   0 typ;   0 def)
%            Number of atoms       :  408 (  33 equ;   0 cnn)
%            Maximal formula atoms :   35 (   4 avg)
%            Number of connectives : 1164 ( 134   ~; 108   |;  93   &; 765   @)
%                                         (   0 <=>;  64  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   23 (   5 avg)
%            Number of types       :    3 (   1 usr)
%            Number of type conns  :   33 (  33   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   38 (  36 usr;  10 con; 0-3 aty)
%            Number of variables   :  246 (  76   ^; 143   !;  27   ?; 246   :)

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

thf(decl_25,type,
    mnot: ( $i > $o ) > $i > $o ).

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

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

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

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

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

thf(decl_54,type,
    c: reg > reg > $o ).

thf(decl_56,type,
    p: reg > reg > $o ).

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

thf(decl_58,type,
    o: reg > reg > $o ).

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

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

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

thf(decl_63,type,
    ntpp: reg > reg > $o ).

thf(decl_64,type,
    catalunya: reg ).

thf(decl_65,type,
    france: reg ).

thf(decl_66,type,
    spain: reg ).

thf(decl_67,type,
    paris: reg ).

thf(decl_68,type,
    a: $i > $i > $o ).

thf(decl_69,type,
    fool: $i > $i > $o ).

thf(decl_70,type,
    esk1_0: $i ).

thf(decl_71,type,
    esk2_0: $i ).

thf(decl_72,type,
    esk3_1: reg > reg ).

thf(decl_73,type,
    esk4_1: reg > reg ).

thf(decl_74,type,
    esk5_0: reg ).

thf(decl_75,type,
    esk6_0: 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_79,type,
    esk10_1: reg > reg ).

thf(decl_80,type,
    esk11_1: reg > reg ).

thf(decl_81,type,
    esk12_1: reg > reg ).

thf(decl_82,type,
    esk13_0: reg ).

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

thf(decl_84,type,
    esk15_1: reg > reg ).

thf(decl_86,type,
    esk17_2: $i > ( $i > $o ) > $i ).

thf(o,axiom,
    ( o
    = ( ^ [X28: reg,X29: reg] :
        ? [X25: reg] :
          ( ( p @ X25 @ X28 )
          & ( p @ X25 @ X29 ) ) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.MgUnH2eFsT/E---3.1_2489341.p',o) ).

thf(p,axiom,
    ( p
    = ( ^ [X23: reg,X24: reg] :
        ! [X25: reg] :
          ( ( c @ X25 @ X23 )
         => ( c @ X25 @ X24 ) ) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.MgUnH2eFsT/E---3.1_2489341.p',p) ).

thf(mimplies,axiom,
    ( mimplies
    = ( ^ [X6: $i > $o,X7: $i > $o] : ( mor @ ( mnot @ X6 ) @ X7 ) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.MgUnH2eFsT/E---3.1_2489341.p',mimplies) ).

thf(mnot,axiom,
    ( mnot
    = ( ^ [X6: $i > $o,X3: $i] :
          ~ ( X6 @ X3 ) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.MgUnH2eFsT/E---3.1_2489341.p',mnot) ).

thf(mor,axiom,
    ( mor
    = ( ^ [X6: $i > $o,X7: $i > $o,X3: $i] :
          ( ( X6 @ X3 )
          | ( X7 @ X3 ) ) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.MgUnH2eFsT/E---3.1_2489341.p',mor) ).

thf(pp,axiom,
    ( pp
    = ( ^ [X34: reg,X35: reg] :
          ( ( p @ X34 @ X35 )
          & ~ ( p @ X35 @ X34 ) ) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.MgUnH2eFsT/E---3.1_2489341.p',pp) ).

thf(ec,axiom,
    ( ec
    = ( ^ [X32: reg,X33: reg] :
          ( ( c @ X32 @ X33 )
          & ~ ( o @ X32 @ X33 ) ) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.MgUnH2eFsT/E---3.1_2489341.p',ec) ).

thf(eq,axiom,
    ( eq
    = ( ^ [X26: reg,X27: reg] :
          ( ( p @ X26 @ X27 )
          & ( p @ X27 @ X26 ) ) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.MgUnH2eFsT/E---3.1_2489341.p',eq) ).

thf(mforall_prop,axiom,
    ( mforall_prop
    = ( ^ [X9: ( $i > $o ) > $i > $o,X3: $i] :
        ! [X10: $i > $o] : ( X9 @ X10 @ X3 ) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.MgUnH2eFsT/E---3.1_2489341.p',mforall_prop) ).

thf(mbox,axiom,
    ( mbox
    = ( ^ [X13: $i > $i > $o,X6: $i > $o,X3: $i] :
        ! [X14: $i] :
          ( ~ ( X13 @ X3 @ X14 )
          | ( X6 @ X14 ) ) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.MgUnH2eFsT/E---3.1_2489341.p',mbox) ).

thf(mvalid,axiom,
    ( mvalid
    = ( ^ [X6: $i > $o] :
        ! [X3: $i] : ( X6 @ X3 ) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.MgUnH2eFsT/E---3.1_2489341.p',mvalid) ).

thf(tpp,axiom,
    ( tpp
    = ( ^ [X36: reg,X37: reg] :
          ( ( pp @ X36 @ X37 )
          & ? [X25: reg] :
              ( ( ec @ X25 @ X36 )
              & ( ec @ X25 @ X37 ) ) ) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.MgUnH2eFsT/E---3.1_2489341.p',tpp) ).

thf(con,conjecture,
    ( mvalid
    @ ( mbox @ a
      @ ^ [X44: $i] :
          ( ( eq @ catalunya @ paris )
         => ( o @ france @ spain ) ) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.MgUnH2eFsT/E---3.1_2489341.p',con) ).

thf(t_axiom_for_fool,axiom,
    ( mvalid
    @ ( mforall_prop
      @ ^ [X40: $i > $o] : ( mimplies @ ( mbox @ fool @ X40 ) @ X40 ) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.MgUnH2eFsT/E---3.1_2489341.p',t_axiom_for_fool) ).

thf(ax2,axiom,
    ( mvalid
    @ ( mbox @ fool
      @ ^ [X42: $i] : ( ec @ spain @ france ) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.MgUnH2eFsT/E---3.1_2489341.p',ax2) ).

thf(ax1,axiom,
    ( mvalid
    @ ( mbox @ a
      @ ^ [X41: $i] : ( tpp @ catalunya @ spain ) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.MgUnH2eFsT/E---3.1_2489341.p',ax1) ).

thf(c_symmetric,axiom,
    ! [X19: reg,X20: reg] :
      ( ( c @ X19 @ X20 )
     => ( c @ X20 @ X19 ) ),
    file('/export/starexec/sandbox2/tmp/tmp.MgUnH2eFsT/E---3.1_2489341.p',c_symmetric) ).

thf(ntpp,axiom,
    ( ntpp
    = ( ^ [X38: reg,X39: reg] :
          ( ( pp @ X38 @ X39 )
          & ~ ? [X25: reg] :
                ( ( ec @ X25 @ X38 )
                & ( ec @ X25 @ X39 ) ) ) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.MgUnH2eFsT/E---3.1_2489341.p',ntpp) ).

thf(ax3,axiom,
    ( mvalid
    @ ( mbox @ a
      @ ^ [X43: $i] : ( ntpp @ paris @ france ) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.MgUnH2eFsT/E---3.1_2489341.p',ax3) ).

thf(c_0_19,plain,
    ( o
    = ( ^ [Z0: reg,Z1: reg] :
        ? [X25: reg] :
          ( ! [X50: reg] :
              ( ( c @ X50 @ X25 )
             => ( c @ X50 @ Z0 ) )
          & ! [X51: reg] :
              ( ( c @ X51 @ X25 )
             => ( c @ X51 @ Z1 ) ) ) ) ),
    inference(fof_simplification,[status(thm)],[o]) ).

thf(c_0_20,plain,
    ( p
    = ( ^ [Z0: reg,Z1: reg] :
        ! [X25: reg] :
          ( ( c @ X25 @ Z0 )
         => ( c @ X25 @ Z1 ) ) ) ),
    inference(fof_simplification,[status(thm)],[p]) ).

thf(c_0_21,plain,
    ( mimplies
    = ( ^ [Z0: $i > $o,Z1: $i > $o,Z2: $i] :
          ( ~ ( Z0 @ Z2 )
          | ( Z1 @ Z2 ) ) ) ),
    inference(fof_simplification,[status(thm)],[mimplies]) ).

thf(c_0_22,plain,
    ( mnot
    = ( ^ [Z0: $i > $o,Z1: $i] :
          ~ ( Z0 @ Z1 ) ) ),
    inference(fof_simplification,[status(thm)],[mnot]) ).

thf(c_0_23,plain,
    ( mor
    = ( ^ [Z0: $i > $o,Z1: $i > $o,Z2: $i] :
          ( ( Z0 @ Z2 )
          | ( Z1 @ Z2 ) ) ) ),
    inference(fof_simplification,[status(thm)],[mor]) ).

thf(c_0_24,plain,
    ( pp
    = ( ^ [Z0: reg,Z1: reg] :
          ( ! [X55: reg] :
              ( ( c @ X55 @ Z0 )
             => ( c @ X55 @ Z1 ) )
          & ~ ! [X56: reg] :
                ( ( c @ X56 @ Z1 )
               => ( c @ X56 @ Z0 ) ) ) ) ),
    inference(fof_simplification,[status(thm)],[pp]) ).

thf(c_0_25,plain,
    ( ec
    = ( ^ [Z0: reg,Z1: reg] :
          ( ( c @ Z0 @ Z1 )
          & ~ ? [X52: reg] :
                ( ! [X53: reg] :
                    ( ( c @ X53 @ X52 )
                   => ( c @ X53 @ Z0 ) )
                & ! [X54: reg] :
                    ( ( c @ X54 @ X52 )
                   => ( c @ X54 @ Z1 ) ) ) ) ) ),
    inference(fof_simplification,[status(thm)],[ec]) ).

thf(c_0_26,plain,
    ( o
    = ( ^ [Z0: reg,Z1: reg] :
        ? [X25: reg] :
          ( ! [X50: reg] :
              ( ( c @ X50 @ X25 )
             => ( c @ X50 @ Z0 ) )
          & ! [X51: reg] :
              ( ( c @ X51 @ X25 )
             => ( c @ X51 @ Z1 ) ) ) ) ),
    inference(apply_def,[status(thm)],[c_0_19,c_0_20]) ).

thf(c_0_27,plain,
    ( eq
    = ( ^ [Z0: reg,Z1: reg] :
          ( ! [X48: reg] :
              ( ( c @ X48 @ Z0 )
             => ( c @ X48 @ Z1 ) )
          & ! [X49: reg] :
              ( ( c @ X49 @ Z1 )
             => ( c @ X49 @ Z0 ) ) ) ) ),
    inference(fof_simplification,[status(thm)],[eq]) ).

thf(c_0_28,plain,
    ( mimplies
    = ( ^ [Z0: $i > $o,Z1: $i > $o,Z2: $i] :
          ( ~ ( Z0 @ Z2 )
          | ( Z1 @ Z2 ) ) ) ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_21,c_0_22]),c_0_23]) ).

thf(c_0_29,plain,
    ( mforall_prop
    = ( ^ [Z0: ( $i > $o ) > $i > $o,Z1: $i] :
        ! [X10: $i > $o] : ( Z0 @ X10 @ Z1 ) ) ),
    inference(fof_simplification,[status(thm)],[mforall_prop]) ).

thf(c_0_30,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_31,plain,
    ( mvalid
    = ( ^ [Z0: $i > $o] :
        ! [X3: $i] : ( Z0 @ X3 ) ) ),
    inference(fof_simplification,[status(thm)],[mvalid]) ).

thf(c_0_32,plain,
    ( tpp
    = ( ^ [Z0: reg,Z1: reg] :
          ( ! [X57: reg] :
              ( ( c @ X57 @ Z0 )
             => ( c @ X57 @ Z1 ) )
          & ~ ! [X58: reg] :
                ( ( c @ X58 @ Z1 )
               => ( c @ X58 @ Z0 ) )
          & ? [X25: reg] :
              ( ( c @ X25 @ Z0 )
              & ~ ? [X59: reg] :
                    ( ! [X60: reg] :
                        ( ( c @ X60 @ X59 )
                       => ( c @ X60 @ X25 ) )
                    & ! [X61: reg] :
                        ( ( c @ X61 @ X59 )
                       => ( c @ X61 @ Z0 ) ) )
              & ( c @ X25 @ Z1 )
              & ~ ? [X62: reg] :
                    ( ! [X63: reg] :
                        ( ( c @ X63 @ X62 )
                       => ( c @ X63 @ X25 ) )
                    & ! [X64: reg] :
                        ( ( c @ X64 @ X62 )
                       => ( c @ X64 @ Z1 ) ) ) ) ) ) ),
    inference(fof_simplification,[status(thm)],[tpp]) ).

thf(c_0_33,plain,
    ( pp
    = ( ^ [Z0: reg,Z1: reg] :
          ( ! [X55: reg] :
              ( ( c @ X55 @ Z0 )
             => ( c @ X55 @ Z1 ) )
          & ~ ! [X56: reg] :
                ( ( c @ X56 @ Z1 )
               => ( c @ X56 @ Z0 ) ) ) ) ),
    inference(apply_def,[status(thm)],[c_0_24,c_0_20]) ).

thf(c_0_34,plain,
    ( ec
    = ( ^ [Z0: reg,Z1: reg] :
          ( ( c @ Z0 @ Z1 )
          & ~ ? [X52: reg] :
                ( ! [X53: reg] :
                    ( ( c @ X53 @ X52 )
                   => ( c @ X53 @ Z0 ) )
                & ! [X54: reg] :
                    ( ( c @ X54 @ X52 )
                   => ( c @ X54 @ Z1 ) ) ) ) ) ),
    inference(apply_def,[status(thm)],[c_0_25,c_0_26]) ).

thf(c_0_35,negated_conjecture,
    ~ ( mvalid
      @ ( mbox @ a
        @ ^ [X44: $i] :
            ( ( eq @ catalunya @ paris )
           => ( o @ france @ spain ) ) ) ),
    inference(assume_negation,[status(cth)],[con]) ).

thf(c_0_36,plain,
    ( eq
    = ( ^ [Z0: reg,Z1: reg] :
          ( ! [X48: reg] :
              ( ( c @ X48 @ Z0 )
             => ( c @ X48 @ Z1 ) )
          & ! [X49: reg] :
              ( ( c @ X49 @ Z1 )
             => ( c @ X49 @ Z0 ) ) ) ) ),
    inference(apply_def,[status(thm)],[c_0_27,c_0_20]) ).

thf(c_0_37,plain,
    ! [X113: $i,X112: $i > $o] :
      ( ~ ! [X111: $i] :
            ( ~ ( fool @ X113 @ X111 )
            | ( X112 @ X111 ) )
      | ( X112 @ X113 ) ),
    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)],[t_axiom_for_fool]),c_0_28]),c_0_29]),c_0_30]),c_0_31])]) ).

thf(c_0_38,plain,
    ( tpp
    = ( ^ [Z0: reg,Z1: reg] :
          ( ! [X57: reg] :
              ( ( c @ X57 @ Z0 )
             => ( c @ X57 @ Z1 ) )
          & ~ ! [X58: reg] :
                ( ( c @ X58 @ Z1 )
               => ( c @ X58 @ Z0 ) )
          & ? [X25: reg] :
              ( ( c @ X25 @ Z0 )
              & ~ ? [X59: reg] :
                    ( ! [X60: reg] :
                        ( ( c @ X60 @ X59 )
                       => ( c @ X60 @ X25 ) )
                    & ! [X61: reg] :
                        ( ( c @ X61 @ X59 )
                       => ( c @ X61 @ Z0 ) ) )
              & ( c @ X25 @ Z1 )
              & ~ ? [X62: reg] :
                    ( ! [X63: reg] :
                        ( ( c @ X63 @ X62 )
                       => ( c @ X63 @ X25 ) )
                    & ! [X64: reg] :
                        ( ( c @ X64 @ X62 )
                       => ( c @ X64 @ Z1 ) ) ) ) ) ) ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_32,c_0_33]),c_0_34]) ).

thf(c_0_39,negated_conjecture,
    ~ ! [X79: $i,X78: $i] :
        ( ~ ( a @ X79 @ X78 )
        | ( ( ! [X73: reg] :
                ( ( c @ X73 @ catalunya )
               => ( c @ X73 @ paris ) )
            & ! [X74: reg] :
                ( ( c @ X74 @ paris )
               => ( c @ X74 @ catalunya ) ) )
         => ? [X75: reg] :
              ( ! [X76: reg] :
                  ( ( c @ X76 @ X75 )
                 => ( c @ X76 @ france ) )
              & ! [X77: reg] :
                  ( ( c @ X77 @ X75 )
                 => ( c @ X77 @ spain ) ) ) ) ),
    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)],[c_0_35]),c_0_36]),c_0_26]),c_0_30]),c_0_31])]) ).

thf(c_0_40,plain,
    ! [X95: $i,X94: $i] :
      ( ~ ( fool @ X95 @ X94 )
      | ( ( c @ spain @ france )
        & ~ ? [X91: reg] :
              ( ! [X92: reg] :
                  ( ( c @ X92 @ X91 )
                 => ( c @ X92 @ spain ) )
              & ! [X93: reg] :
                  ( ( c @ X93 @ X91 )
                 => ( c @ X93 @ 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)],[ax2]),c_0_34]),c_0_30]),c_0_31])]) ).

thf(c_0_41,plain,
    ! [X160: $i,X161: $i > $o] :
      ( ( ( fool @ X160 @ ( esk17_2 @ X160 @ X161 ) )
        | ( X161 @ X160 ) )
      & ( ~ ( X161 @ ( esk17_2 @ X160 @ X161 ) )
        | ( X161 @ X160 ) ) ),
    inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_37])])])]) ).

thf(c_0_42,plain,
    ! [X90: $i,X89: $i] :
      ( ~ ( a @ X90 @ X89 )
      | ( ! [X80: reg] :
            ( ( c @ X80 @ catalunya )
           => ( c @ X80 @ spain ) )
        & ~ ! [X81: reg] :
              ( ( c @ X81 @ spain )
             => ( c @ X81 @ catalunya ) )
        & ? [X82: reg] :
            ( ( c @ X82 @ catalunya )
            & ~ ? [X83: reg] :
                  ( ! [X84: reg] :
                      ( ( c @ X84 @ X83 )
                     => ( c @ X84 @ X82 ) )
                  & ! [X85: reg] :
                      ( ( c @ X85 @ X83 )
                     => ( c @ X85 @ catalunya ) ) )
            & ( c @ X82 @ spain )
            & ~ ? [X86: reg] :
                  ( ! [X87: reg] :
                      ( ( c @ X87 @ X86 )
                     => ( c @ X87 @ X82 ) )
                  & ! [X88: reg] :
                      ( ( c @ X88 @ X86 )
                     => ( c @ X88 @ 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_38]),c_0_30]),c_0_31])]) ).

thf(c_0_43,plain,
    ! [X158: reg,X159: reg] :
      ( ~ ( c @ X158 @ X159 )
      | ( c @ X159 @ X158 ) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_symmetric])]) ).

thf(c_0_44,negated_conjecture,
    ! [X121: reg,X122: reg,X123: reg] :
      ( ( a @ esk1_0 @ esk2_0 )
      & ( ~ ( c @ X121 @ catalunya )
        | ( c @ X121 @ paris ) )
      & ( ~ ( c @ X122 @ paris )
        | ( c @ X122 @ catalunya ) )
      & ( ( c @ ( esk4_1 @ X123 ) @ X123 )
        | ( c @ ( esk3_1 @ X123 ) @ X123 ) )
      & ( ~ ( c @ ( esk4_1 @ X123 ) @ spain )
        | ( c @ ( esk3_1 @ X123 ) @ X123 ) )
      & ( ( c @ ( esk4_1 @ X123 ) @ X123 )
        | ~ ( c @ ( esk3_1 @ X123 ) @ france ) )
      & ( ~ ( c @ ( esk4_1 @ X123 ) @ spain )
        | ~ ( c @ ( esk3_1 @ X123 ) @ france ) ) ),
    inference(distribute,[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_45,plain,
    ! [X137: $i,X138: $i,X139: reg] :
      ( ( ( c @ spain @ france )
        | ~ ( fool @ X137 @ X138 ) )
      & ( ( c @ ( esk12_1 @ X139 ) @ X139 )
        | ( c @ ( esk11_1 @ X139 ) @ X139 )
        | ~ ( fool @ X137 @ X138 ) )
      & ( ~ ( c @ ( esk12_1 @ X139 ) @ france )
        | ( c @ ( esk11_1 @ X139 ) @ X139 )
        | ~ ( fool @ X137 @ X138 ) )
      & ( ( c @ ( esk12_1 @ X139 ) @ X139 )
        | ~ ( c @ ( esk11_1 @ X139 ) @ spain )
        | ~ ( fool @ X137 @ X138 ) )
      & ( ~ ( c @ ( esk12_1 @ X139 ) @ france )
        | ~ ( c @ ( esk11_1 @ X139 ) @ spain )
        | ~ ( fool @ X137 @ X138 ) ) ),
    inference(distribute,[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_40])])])])])]) ).

thf(c_0_46,plain,
    ! [X3: $i,X4: $i > $o] :
      ( ( X4 @ X3 )
      | ~ ( X4 @ ( esk17_2 @ X3 @ X4 ) ) ),
    inference(split_conjunct,[status(thm)],[c_0_41]) ).

thf(c_0_47,plain,
    ! [X4: $i > $o,X3: $i] :
      ( ( fool @ X3 @ ( esk17_2 @ X3 @ X4 ) )
      | ( X4 @ X3 ) ),
    inference(split_conjunct,[status(thm)],[c_0_41]) ).

thf(c_0_48,plain,
    ! [X126: $i,X127: $i,X128: reg,X131: reg,X134: reg] :
      ( ( ~ ( c @ X128 @ catalunya )
        | ( c @ X128 @ spain )
        | ~ ( a @ X126 @ X127 ) )
      & ( ( c @ esk5_0 @ spain )
        | ~ ( a @ X126 @ X127 ) )
      & ( ~ ( c @ esk5_0 @ catalunya )
        | ~ ( a @ X126 @ X127 ) )
      & ( ( c @ esk6_0 @ catalunya )
        | ~ ( a @ X126 @ X127 ) )
      & ( ( c @ ( esk8_1 @ X131 ) @ X131 )
        | ( c @ ( esk7_1 @ X131 ) @ X131 )
        | ~ ( a @ X126 @ X127 ) )
      & ( ~ ( c @ ( esk8_1 @ X131 ) @ catalunya )
        | ( c @ ( esk7_1 @ X131 ) @ X131 )
        | ~ ( a @ X126 @ X127 ) )
      & ( ( c @ ( esk8_1 @ X131 ) @ X131 )
        | ~ ( c @ ( esk7_1 @ X131 ) @ esk6_0 )
        | ~ ( a @ X126 @ X127 ) )
      & ( ~ ( c @ ( esk8_1 @ X131 ) @ catalunya )
        | ~ ( c @ ( esk7_1 @ X131 ) @ esk6_0 )
        | ~ ( a @ X126 @ X127 ) )
      & ( ( c @ esk6_0 @ spain )
        | ~ ( a @ X126 @ X127 ) )
      & ( ( c @ ( esk10_1 @ X134 ) @ X134 )
        | ( c @ ( esk9_1 @ X134 ) @ X134 )
        | ~ ( a @ X126 @ X127 ) )
      & ( ~ ( c @ ( esk10_1 @ X134 ) @ spain )
        | ( c @ ( esk9_1 @ X134 ) @ X134 )
        | ~ ( a @ X126 @ X127 ) )
      & ( ( c @ ( esk10_1 @ X134 ) @ X134 )
        | ~ ( c @ ( esk9_1 @ X134 ) @ esk6_0 )
        | ~ ( a @ X126 @ X127 ) )
      & ( ~ ( c @ ( esk10_1 @ X134 ) @ spain )
        | ~ ( c @ ( esk9_1 @ X134 ) @ esk6_0 )
        | ~ ( a @ X126 @ X127 ) ) ),
    inference(distribute,[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_42])])])])])]) ).

thf(c_0_49,plain,
    ! [X18: reg,X19: reg] :
      ( ( c @ X19 @ X18 )
      | ~ ( c @ X18 @ X19 ) ),
    inference(split_conjunct,[status(thm)],[c_0_43]) ).

thf(c_0_50,negated_conjecture,
    ! [X18: reg] :
      ( ( c @ X18 @ catalunya )
      | ~ ( c @ X18 @ paris ) ),
    inference(split_conjunct,[status(thm)],[c_0_44]) ).

thf(c_0_51,plain,
    ! [X18: reg,X3: $i,X14: $i] :
      ( ( c @ ( esk12_1 @ X18 ) @ X18 )
      | ~ ( c @ ( esk11_1 @ X18 ) @ spain )
      | ~ ( fool @ X3 @ X14 ) ),
    inference(split_conjunct,[status(thm)],[c_0_45]) ).

thf(c_0_52,plain,
    ! [X3: $i] : ( fool @ X3 @ X3 ),
    inference(spm,[status(thm)],[c_0_46,c_0_47]) ).

thf(c_0_53,plain,
    ! [X18: reg,X3: $i,X14: $i] :
      ( ( c @ X18 @ spain )
      | ~ ( c @ X18 @ catalunya )
      | ~ ( a @ X3 @ X14 ) ),
    inference(split_conjunct,[status(thm)],[c_0_48]) ).

thf(c_0_54,plain,
    ! [X18: reg,X3: $i,X14: $i] :
      ( ( c @ ( esk12_1 @ X18 ) @ X18 )
      | ( c @ ( esk11_1 @ X18 ) @ X18 )
      | ~ ( fool @ X3 @ X14 ) ),
    inference(split_conjunct,[status(thm)],[c_0_45]) ).

thf(c_0_55,plain,
    ( ntpp
    = ( ^ [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)],[ntpp]) ).

thf(c_0_56,negated_conjecture,
    ! [X18: reg] :
      ( ( c @ catalunya @ X18 )
      | ~ ( c @ X18 @ paris ) ),
    inference(spm,[status(thm)],[c_0_49,c_0_50]) ).

thf(c_0_57,plain,
    ! [X18: reg] :
      ( ( c @ ( esk12_1 @ X18 ) @ X18 )
      | ~ ( c @ ( esk11_1 @ X18 ) @ spain ) ),
    inference(spm,[status(thm)],[c_0_51,c_0_52]) ).

thf(c_0_58,negated_conjecture,
    ! [X18: reg,X3: $i,X14: $i] :
      ( ( c @ X18 @ spain )
      | ~ ( c @ X18 @ paris )
      | ~ ( a @ X3 @ X14 ) ),
    inference(spm,[status(thm)],[c_0_53,c_0_50]) ).

thf(c_0_59,negated_conjecture,
    a @ esk1_0 @ esk2_0,
    inference(split_conjunct,[status(thm)],[c_0_44]) ).

thf(c_0_60,plain,
    ! [X18: reg] :
      ( ( c @ ( esk11_1 @ X18 ) @ X18 )
      | ( c @ ( esk12_1 @ X18 ) @ X18 ) ),
    inference(spm,[status(thm)],[c_0_54,c_0_52]) ).

thf(c_0_61,plain,
    ( ntpp
    = ( ^ [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_55,c_0_33]),c_0_34]) ).

thf(c_0_62,negated_conjecture,
    ( ( c @ catalunya @ ( esk12_1 @ paris ) )
    | ~ ( c @ ( esk11_1 @ paris ) @ spain ) ),
    inference(spm,[status(thm)],[c_0_56,c_0_57]) ).

thf(c_0_63,negated_conjecture,
    ! [X18: reg] :
      ( ( c @ X18 @ spain )
      | ~ ( c @ X18 @ paris ) ),
    inference(spm,[status(thm)],[c_0_58,c_0_59]) ).

thf(c_0_64,negated_conjecture,
    ( ( c @ ( esk11_1 @ paris ) @ paris )
    | ( c @ catalunya @ ( esk12_1 @ paris ) ) ),
    inference(spm,[status(thm)],[c_0_56,c_0_60]) ).

thf(c_0_65,plain,
    ! [X106: $i,X105: $i] :
      ( ~ ( a @ X106 @ X105 )
      | ( ! [X96: reg] :
            ( ( c @ X96 @ paris )
           => ( c @ X96 @ france ) )
        & ~ ! [X97: reg] :
              ( ( c @ X97 @ france )
             => ( c @ X97 @ paris ) )
        & ~ ? [X98: reg] :
              ( ( c @ X98 @ paris )
              & ~ ? [X99: reg] :
                    ( ! [X100: reg] :
                        ( ( c @ X100 @ X99 )
                       => ( c @ X100 @ X98 ) )
                    & ! [X101: reg] :
                        ( ( c @ X101 @ X99 )
                       => ( c @ X101 @ paris ) ) )
              & ( c @ X98 @ france )
              & ~ ? [X102: reg] :
                    ( ! [X103: reg] :
                        ( ( c @ X103 @ X102 )
                       => ( c @ X103 @ X98 ) )
                    & ! [X104: reg] :
                        ( ( c @ X104 @ X102 )
                       => ( c @ X104 @ 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_61]),c_0_30]),c_0_31])]) ).

thf(c_0_66,negated_conjecture,
    c @ catalunya @ ( esk12_1 @ paris ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_62,c_0_63]),c_0_64]) ).

thf(c_0_67,plain,
    ! [X142: $i,X143: $i,X144: reg,X146: reg,X148: reg,X149: reg,X151: reg,X152: reg] :
      ( ( ~ ( c @ X144 @ paris )
        | ( c @ X144 @ france )
        | ~ ( a @ X142 @ X143 ) )
      & ( ( c @ esk13_0 @ france )
        | ~ ( a @ X142 @ X143 ) )
      & ( ~ ( c @ esk13_0 @ paris )
        | ~ ( a @ X142 @ X143 ) )
      & ( ~ ( c @ X151 @ ( esk15_1 @ X146 ) )
        | ( c @ X151 @ X146 )
        | ~ ( c @ X146 @ france )
        | ~ ( c @ X148 @ ( esk14_1 @ X146 ) )
        | ( c @ X148 @ X146 )
        | ~ ( c @ X146 @ paris )
        | ~ ( a @ X142 @ X143 ) )
      & ( ~ ( c @ X152 @ ( esk15_1 @ X146 ) )
        | ( c @ X152 @ france )
        | ~ ( c @ X146 @ france )
        | ~ ( c @ X148 @ ( esk14_1 @ X146 ) )
        | ( c @ X148 @ X146 )
        | ~ ( c @ X146 @ paris )
        | ~ ( a @ X142 @ X143 ) )
      & ( ~ ( c @ X151 @ ( esk15_1 @ X146 ) )
        | ( c @ X151 @ X146 )
        | ~ ( c @ X146 @ france )
        | ~ ( c @ X149 @ ( esk14_1 @ X146 ) )
        | ( c @ X149 @ paris )
        | ~ ( c @ X146 @ paris )
        | ~ ( a @ X142 @ X143 ) )
      & ( ~ ( c @ X152 @ ( esk15_1 @ X146 ) )
        | ( c @ X152 @ france )
        | ~ ( c @ X146 @ france )
        | ~ ( c @ X149 @ ( esk14_1 @ X146 ) )
        | ( c @ X149 @ paris )
        | ~ ( c @ X146 @ paris )
        | ~ ( a @ X142 @ X143 ) ) ),
    inference(distribute,[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_65])])])])])]) ).

thf(c_0_68,negated_conjecture,
    ! [X18: reg] :
      ( ( c @ X18 @ paris )
      | ~ ( c @ X18 @ catalunya ) ),
    inference(split_conjunct,[status(thm)],[c_0_44]) ).

thf(c_0_69,negated_conjecture,
    c @ ( esk12_1 @ paris ) @ catalunya,
    inference(spm,[status(thm)],[c_0_49,c_0_66]) ).

thf(c_0_70,plain,
    ! [X18: reg,X3: $i,X14: $i] :
      ( ( c @ X18 @ france )
      | ~ ( c @ X18 @ paris )
      | ~ ( a @ X3 @ X14 ) ),
    inference(split_conjunct,[status(thm)],[c_0_67]) ).

thf(c_0_71,negated_conjecture,
    c @ ( esk12_1 @ paris ) @ paris,
    inference(spm,[status(thm)],[c_0_68,c_0_69]) ).

thf(c_0_72,negated_conjecture,
    ! [X3: $i,X14: $i] :
      ( ( c @ ( esk12_1 @ paris ) @ france )
      | ~ ( a @ X3 @ X14 ) ),
    inference(spm,[status(thm)],[c_0_70,c_0_71]) ).

thf(c_0_73,plain,
    ! [X18: reg,X3: $i,X14: $i] :
      ( ( c @ ( esk11_1 @ X18 ) @ X18 )
      | ~ ( c @ ( esk12_1 @ X18 ) @ france )
      | ~ ( fool @ X3 @ X14 ) ),
    inference(split_conjunct,[status(thm)],[c_0_45]) ).

thf(c_0_74,negated_conjecture,
    c @ ( esk12_1 @ paris ) @ france,
    inference(spm,[status(thm)],[c_0_72,c_0_59]) ).

thf(c_0_75,negated_conjecture,
    ! [X3: $i,X14: $i] :
      ( ( c @ ( esk11_1 @ paris ) @ paris )
      | ~ ( fool @ X3 @ X14 ) ),
    inference(spm,[status(thm)],[c_0_73,c_0_74]) ).

thf(c_0_76,negated_conjecture,
    ! [X18: reg] :
      ( ( c @ spain @ X18 )
      | ~ ( c @ X18 @ paris ) ),
    inference(spm,[status(thm)],[c_0_49,c_0_63]) ).

thf(c_0_77,negated_conjecture,
    c @ ( esk11_1 @ paris ) @ paris,
    inference(spm,[status(thm)],[c_0_75,c_0_52]) ).

thf(c_0_78,negated_conjecture,
    c @ spain @ ( esk11_1 @ paris ),
    inference(spm,[status(thm)],[c_0_76,c_0_77]) ).

thf(c_0_79,plain,
    ! [X18: reg,X3: $i,X14: $i] :
      ( ~ ( c @ ( esk12_1 @ X18 ) @ france )
      | ~ ( c @ ( esk11_1 @ X18 ) @ spain )
      | ~ ( fool @ X3 @ X14 ) ),
    inference(split_conjunct,[status(thm)],[c_0_45]) ).

thf(c_0_80,negated_conjecture,
    c @ ( esk11_1 @ paris ) @ spain,
    inference(spm,[status(thm)],[c_0_49,c_0_78]) ).

thf(c_0_81,negated_conjecture,
    ! [X3: $i,X14: $i] :
      ~ ( fool @ X3 @ X14 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_79,c_0_74]),c_0_80])]) ).

thf(c_0_82,plain,
    $false,
    inference(sr,[status(thm)],[c_0_52,c_0_81]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : GEG008^1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.05  % Command  : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.19  % Computer : n013.cluster.edu
% 0.12/0.19  % Model    : x86_64 x86_64
% 0.12/0.19  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.19  % Memory   : 8046.5625MB
% 0.12/0.19  % OS       : Linux 6.8.0-71-generic
% 0.12/0.19  % CPULimit : 300
% 0.12/0.19  % WCLimit  : 300
% 0.12/0.19  % DateTime : Tue Sep 29 18:33:21 UTC 2026
% 0.12/0.19  % CPUTime  : 
% 0.12/0.19  Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.24  Running higher-order theorem proving
% 0.12/0.26  Running: /export/starexec/sandbox2/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/sandbox2/tmp/tmp.MgUnH2eFsT/E---3.1_2489341.p
% 0.24/0.29  % Version: 3.5.1-ho
% 0.24/0.29  % Preprocessing class: HSMSSMSSMLLNHSN.
% 0.24/0.29  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.24/0.29  % Starting new_ho_10_cnf2 with 1500s (5) cores
% 0.24/0.29  % Starting post_as_ho3 with 300s (1) cores
% 0.24/0.29  % Starting new_ho_12 with 300s (1) cores
% 0.24/0.29  % Starting new_bool_2 with 300s (1) cores
% 0.24/0.29  % new_bool_2 with pid 2489384 completed with status 0
% 0.24/0.29  % Result found by new_bool_2
% 0.24/0.29  % Preprocessing class: HSMSSMSSMLLNHSN.
% 0.24/0.29  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.24/0.29  % Starting new_ho_10_cnf2 with 1500s (5) cores
% 0.24/0.29  % Starting post_as_ho3 with 300s (1) cores
% 0.24/0.29  % Starting new_ho_12 with 300s (1) cores
% 0.24/0.29  % Starting new_bool_2 with 300s (1) cores
% 0.24/0.29  % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 0.24/0.29  % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.24/0.29  % Search class: HGHNF-FFMF21-SHSSMSBN
% 0.24/0.29  % Scheduled 7 strats onto 1 cores with 300 seconds (300 total)
% 0.24/0.29  % Starting SubtermCWHack with 28s (1) cores
% 0.24/0.29  % SubtermCWHack with pid 2489390 completed with status 0
% 0.24/0.29  % Result found by SubtermCWHack
% 0.24/0.29  % Preprocessing class: HSMSSMSSMLLNHSN.
% 0.24/0.29  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.24/0.29  % Starting new_ho_10_cnf2 with 1500s (5) cores
% 0.24/0.29  % Starting post_as_ho3 with 300s (1) cores
% 0.24/0.29  % Starting new_ho_12 with 300s (1) cores
% 0.24/0.29  % Starting new_bool_2 with 300s (1) cores
% 0.24/0.29  % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 0.24/0.29  % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.24/0.29  % Search class: HGHNF-FFMF21-SHSSMSBN
% 0.24/0.29  % Scheduled 7 strats onto 1 cores with 300 seconds (300 total)
% 0.24/0.29  % Starting SubtermCWHack with 28s (1) cores
% 0.24/0.29  % Preprocessing time       : 0.001 s
% 0.24/0.29  
% 0.24/0.29  % Proof found!
% 0.24/0.29  % SZS status Theorem
% 0.24/0.29  % SZS output start CNFRefutation
% See solution above
% 0.24/0.29  % Parsed axioms                        : 98
% 0.24/0.29  % Removed by relevancy pruning/SinE    : 76
% 0.24/0.29  % Initial clauses                      : 40
% 0.24/0.29  % Removed in clause preprocessing      : 0
% 0.24/0.29  % Initial clauses in saturation        : 40
% 0.24/0.29  % Processed clauses                    : 298
% 0.24/0.29  % ...of these trivial                  : 4
% 0.24/0.29  % ...subsumed                          : 70
% 0.24/0.29  % ...remaining for further processing  : 224
% 0.24/0.29  % Other redundant clauses eliminated   : 0
% 0.24/0.29  % Clauses deleted for lack of memory   : 0
% 0.24/0.29  % Backward-subsumed                    : 20
% 0.24/0.29  % Backward-rewritten                   : 20
% 0.24/0.29  % Generated clauses                    : 547
% 0.24/0.29  % ...of the previous two non-redundant : 475
% 0.24/0.29  % ...aggressively subsumed             : 0
% 0.24/0.29  % Contextual simplify-reflections      : 5
% 0.24/0.29  % Paramodulations                      : 544
% 0.24/0.29  % Factorizations                       : 0
% 0.24/0.29  % NegExts                              : 0
% 0.24/0.29  % Equation resolutions                 : 0
% 0.24/0.29  % Disequality decompositions           : 0
% 0.24/0.29  % Total rewrite steps                  : 99
% 0.24/0.29  % ...of those cached                   : 49
% 0.24/0.29  % Propositional unsat checks           : 0
% 0.24/0.29  %    Propositional check models        : 0
% 0.24/0.29  %    Propositional check unsatisfiable : 0
% 0.24/0.29  %    Propositional clauses             : 0
% 0.24/0.29  %    Propositional clauses after purity: 0
% 0.24/0.29  %    Propositional unsat core size     : 0
% 0.24/0.29  %    Propositional preprocessing time  : 0.000
% 0.24/0.29  %    Propositional encoding time       : 0.000
% 0.24/0.29  %    Propositional solver time         : 0.000
% 0.24/0.29  %    Success case prop preproc time    : 0.000
% 0.24/0.29  %    Success case prop encoding time   : 0.000
% 0.24/0.29  %    Success case prop solver time     : 0.000
% 0.24/0.29  % Current number of processed clauses  : 181
% 0.24/0.29  %    Positive orientable unit clauses  : 62
% 0.24/0.29  %    Positive unorientable unit clauses: 0
% 0.24/0.29  %    Negative unit clauses             : 5
% 0.24/0.29  %    Non-unit-clauses                  : 114
% 0.24/0.29  % Current number of unprocessed clauses: 209
% 0.24/0.29  % ...number of literals in the above   : 778
% 0.24/0.29  % Current number of archived formulas  : 0
% 0.24/0.29  % Current number of archived clauses   : 43
% 0.24/0.29  % Clause-clause subsumption calls (NU) : 5262
% 0.24/0.29  % Rec. Clause-clause subsumption calls : 4748
% 0.24/0.29  % Non-unit clause-clause subsumptions  : 82
% 0.24/0.29  % Unit Clause-clause subsumption calls : 757
% 0.24/0.29  % Rewrite failures with RHS unbound    : 0
% 0.24/0.29  % BW rewrite match attempts            : 21
% 0.24/0.29  % BW rewrite match successes           : 19
% 0.24/0.29  % Condensation attempts                : 0
% 0.24/0.29  % Condensation successes               : 0
% 0.24/0.29  % Termbank termtop insertions          : 10621
% 0.24/0.29  % Search garbage collected termcells   : 1827
% 0.24/0.29  
% 0.24/0.29  % -------------------------------------------------
% 0.24/0.29  % User time                : 0.016 s
% 0.24/0.29  % System time              : 0.005 s
% 0.24/0.29  % Total time               : 0.021 s
% 0.24/0.29  % Maximum resident set size: 3940 pages
% 0.24/0.29  
% 0.24/0.29  % -------------------------------------------------
% 0.24/0.29  % User time                : 0.020 s
% 0.24/0.29  % System time              : 0.008 s
% 0.24/0.29  % Total time               : 0.028 s
% 0.24/0.29  % Maximum resident set size: 4864 pages
% 0.24/0.29  % E exiting
%------------------------------------------------------------------------------