↑ Up

E---3.5.1.THM-CRf.s

View TPTP
Problem
Process solution in
SystemOnTSTP
Download .tgz
%------------------------------------------------------------------------------
% File     : E---3.5.1
% Problem  : GEG005^1 : TPTP v9.3.1. Released v4.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM

% Computer : n004.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 07:49:18 AM UTC 2026

% Result   : Theorem 0.11s 0.30s
% Output   : CNFRefutation 0.11s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   17
%            Number of leaves      :   19
% Syntax   : Number of formulae    :   81 (  45 unt;   0 typ;   0 def)
%            Number of atoms       :  410 (  33 equ;   0 cnn)
%            Maximal formula atoms :   35 (   5 avg)
%            Number of connectives : 1176 ( 145   ~; 105   |;  99   &; 762   @)
%                                         (   0 <=>;  65  =>;   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     :   39 (  37 usr;  13 con; 0-3 aty)
%            Number of variables   :  252 (  76   ^; 147   !;  29   ?; 252   :)

% 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_58,type,
    o: reg > reg > $o ).

thf(decl_59,type,
    po: 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_2: $i > ( $i > $o ) > $i ).

thf(decl_73,type,
    esk4_0: reg ).

thf(decl_74,type,
    esk5_0: reg ).

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

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

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

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

thf(decl_79,type,
    esk10_1: reg > reg ).

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

thf(decl_81,type,
    esk12_0: reg ).

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

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

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

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

thf(decl_86,type,
    esk17_0: reg ).

thf(decl_87,type,
    esk18_0: reg ).

thf(decl_88,type,
    esk19_0: reg ).

thf(o,axiom,
    ( o
    = ( ^ [X28: reg,X29: reg] :
        ? [X25: reg] :
          ( ( p @ X25 @ X28 )
          & ( p @ X25 @ X29 ) ) ) ),
    file('/export/starexec/sandbox/tmp/tmp.8mKQiNu8WK/E---3.1_1670973.p',o) ).

thf(p,axiom,
    ( p
    = ( ^ [X23: reg,X24: reg] :
        ! [X25: reg] :
          ( ( c @ X25 @ X23 )
         => ( c @ X25 @ X24 ) ) ) ),
    file('/export/starexec/sandbox/tmp/tmp.8mKQiNu8WK/E---3.1_1670973.p',p) ).

thf(ec,axiom,
    ( ec
    = ( ^ [X32: reg,X33: reg] :
          ( ( c @ X32 @ X33 )
          & ~ ( o @ X32 @ X33 ) ) ) ),
    file('/export/starexec/sandbox/tmp/tmp.8mKQiNu8WK/E---3.1_1670973.p',ec) ).

thf(pp,axiom,
    ( pp
    = ( ^ [X34: reg,X35: reg] :
          ( ( p @ X34 @ X35 )
          & ~ ( p @ X35 @ X34 ) ) ) ),
    file('/export/starexec/sandbox/tmp/tmp.8mKQiNu8WK/E---3.1_1670973.p',pp) ).

thf(mimplies,axiom,
    ( mimplies
    = ( ^ [X6: $i > $o,X7: $i > $o] : ( mor @ ( mnot @ X6 ) @ X7 ) ) ),
    file('/export/starexec/sandbox/tmp/tmp.8mKQiNu8WK/E---3.1_1670973.p',mimplies) ).

thf(mnot,axiom,
    ( mnot
    = ( ^ [X6: $i > $o,X3: $i] :
          ~ ( X6 @ X3 ) ) ),
    file('/export/starexec/sandbox/tmp/tmp.8mKQiNu8WK/E---3.1_1670973.p',mnot) ).

thf(mor,axiom,
    ( mor
    = ( ^ [X6: $i > $o,X7: $i > $o,X3: $i] :
          ( ( X6 @ X3 )
          | ( X7 @ X3 ) ) ) ),
    file('/export/starexec/sandbox/tmp/tmp.8mKQiNu8WK/E---3.1_1670973.p',mor) ).

thf(ntpp,axiom,
    ( ntpp
    = ( ^ [X38: reg,X39: reg] :
          ( ( pp @ X38 @ X39 )
          & ~ ? [X25: reg] :
                ( ( ec @ X25 @ X38 )
                & ( ec @ X25 @ X39 ) ) ) ) ),
    file('/export/starexec/sandbox/tmp/tmp.8mKQiNu8WK/E---3.1_1670973.p',ntpp) ).

thf(po,axiom,
    ( po
    = ( ^ [X30: reg,X31: reg] :
          ( ( o @ X30 @ X31 )
          & ~ ( p @ X30 @ X31 )
          & ~ ( p @ X31 @ X30 ) ) ) ),
    file('/export/starexec/sandbox/tmp/tmp.8mKQiNu8WK/E---3.1_1670973.p',po) ).

thf(mforall_prop,axiom,
    ( mforall_prop
    = ( ^ [X9: ( $i > $o ) > $i > $o,X3: $i] :
        ! [X10: $i > $o] : ( X9 @ X10 @ X3 ) ) ),
    file('/export/starexec/sandbox/tmp/tmp.8mKQiNu8WK/E---3.1_1670973.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/sandbox/tmp/tmp.8mKQiNu8WK/E---3.1_1670973.p',mbox) ).

thf(mvalid,axiom,
    ( mvalid
    = ( ^ [X6: $i > $o] :
        ! [X3: $i] : ( X6 @ X3 ) ) ),
    file('/export/starexec/sandbox/tmp/tmp.8mKQiNu8WK/E---3.1_1670973.p',mvalid) ).

thf(con,conjecture,
    ( mvalid
    @ ( mbox @ a
      @ ^ [X44: $i] :
          ~ ( po @ catalunya @ paris ) ) ),
    file('/export/starexec/sandbox/tmp/tmp.8mKQiNu8WK/E---3.1_1670973.p',con) ).

thf(t_axiom_for_fool,axiom,
    ( mvalid
    @ ( mforall_prop
      @ ^ [X40: $i > $o] : ( mimplies @ ( mbox @ fool @ X40 ) @ X40 ) ) ),
    file('/export/starexec/sandbox/tmp/tmp.8mKQiNu8WK/E---3.1_1670973.p',t_axiom_for_fool) ).

thf(ax3,axiom,
    ( mvalid
    @ ( mbox @ a
      @ ^ [X43: $i] : ( ntpp @ paris @ france ) ) ),
    file('/export/starexec/sandbox/tmp/tmp.8mKQiNu8WK/E---3.1_1670973.p',ax3) ).

thf(ax2,axiom,
    ( mvalid
    @ ( mbox @ fool
      @ ^ [X42: $i] : ( ec @ spain @ france ) ) ),
    file('/export/starexec/sandbox/tmp/tmp.8mKQiNu8WK/E---3.1_1670973.p',ax2) ).

thf(tpp,axiom,
    ( tpp
    = ( ^ [X36: reg,X37: reg] :
          ( ( pp @ X36 @ X37 )
          & ? [X25: reg] :
              ( ( ec @ X25 @ X36 )
              & ( ec @ X25 @ X37 ) ) ) ) ),
    file('/export/starexec/sandbox/tmp/tmp.8mKQiNu8WK/E---3.1_1670973.p',tpp) ).

thf(ax1,axiom,
    ( mvalid
    @ ( mbox @ a
      @ ^ [X41: $i] : ( tpp @ catalunya @ spain ) ) ),
    file('/export/starexec/sandbox/tmp/tmp.8mKQiNu8WK/E---3.1_1670973.p',ax1) ).

thf(c_symmetric,axiom,
    ! [X19: reg,X20: reg] :
      ( ( c @ X19 @ X20 )
     => ( c @ X20 @ X19 ) ),
    file('/export/starexec/sandbox/tmp/tmp.8mKQiNu8WK/E---3.1_1670973.p',c_symmetric) ).

thf(c_0_19,plain,
    ( o
    = ( ^ [Z0: reg,Z1: reg] :
        ? [X25: reg] :
          ( ! [X53: reg] :
              ( ( c @ X53 @ X25 )
             => ( c @ X53 @ Z0 ) )
          & ! [X54: reg] :
              ( ( c @ X54 @ X25 )
             => ( c @ X54 @ Z1 ) ) ) ) ),
    inference(fof_simplification,[status(thm)],[o]) ).

thf(c_0_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,
    ( ec
    = ( ^ [Z0: reg,Z1: reg] :
          ( ( c @ Z0 @ Z1 )
          & ~ ? [X60: reg] :
                ( ! [X61: reg] :
                    ( ( c @ X61 @ X60 )
                   => ( c @ X61 @ Z0 ) )
                & ! [X62: reg] :
                    ( ( c @ X62 @ X60 )
                   => ( c @ X62 @ Z1 ) ) ) ) ) ),
    inference(fof_simplification,[status(thm)],[ec]) ).

thf(c_0_22,plain,
    ( o
    = ( ^ [Z0: reg,Z1: reg] :
        ? [X25: reg] :
          ( ! [X53: reg] :
              ( ( c @ X53 @ X25 )
             => ( c @ X53 @ Z0 ) )
          & ! [X54: reg] :
              ( ( c @ X54 @ X25 )
             => ( c @ X54 @ Z1 ) ) ) ) ),
    inference(apply_def,[status(thm)],[c_0_19,c_0_20]) ).

thf(c_0_23,plain,
    ( pp
    = ( ^ [Z0: reg,Z1: reg] :
          ( ! [X63: reg] :
              ( ( c @ X63 @ Z0 )
             => ( c @ X63 @ Z1 ) )
          & ~ ! [X64: reg] :
                ( ( c @ X64 @ Z1 )
               => ( c @ X64 @ Z0 ) ) ) ) ),
    inference(fof_simplification,[status(thm)],[pp]) ).

thf(c_0_24,plain,
    ( mimplies
    = ( ^ [Z0: $i > $o,Z1: $i > $o,Z2: $i] :
          ( ~ ( Z0 @ Z2 )
          | ( Z1 @ Z2 ) ) ) ),
    inference(fof_simplification,[status(thm)],[mimplies]) ).

thf(c_0_25,plain,
    ( mnot
    = ( ^ [Z0: $i > $o,Z1: $i] :
          ~ ( Z0 @ Z1 ) ) ),
    inference(fof_simplification,[status(thm)],[mnot]) ).

thf(c_0_26,plain,
    ( mor
    = ( ^ [Z0: $i > $o,Z1: $i > $o,Z2: $i] :
          ( ( Z0 @ Z2 )
          | ( Z1 @ Z2 ) ) ) ),
    inference(fof_simplification,[status(thm)],[mor]) ).

thf(c_0_27,plain,
    ( ntpp
    = ( ^ [Z0: reg,Z1: reg] :
          ( ! [X73: reg] :
              ( ( c @ X73 @ Z0 )
             => ( c @ X73 @ Z1 ) )
          & ~ ! [X74: reg] :
                ( ( c @ X74 @ Z1 )
               => ( c @ X74 @ Z0 ) )
          & ~ ? [X25: reg] :
                ( ( c @ X25 @ Z0 )
                & ~ ? [X75: reg] :
                      ( ! [X76: reg] :
                          ( ( c @ X76 @ X75 )
                         => ( c @ X76 @ X25 ) )
                      & ! [X77: reg] :
                          ( ( c @ X77 @ X75 )
                         => ( c @ X77 @ Z0 ) ) )
                & ( c @ X25 @ Z1 )
                & ~ ? [X78: reg] :
                      ( ! [X79: reg] :
                          ( ( c @ X79 @ X78 )
                         => ( c @ X79 @ X25 ) )
                      & ! [X80: reg] :
                          ( ( c @ X80 @ X78 )
                         => ( c @ X80 @ Z1 ) ) ) ) ) ) ),
    inference(fof_simplification,[status(thm)],[ntpp]) ).

thf(c_0_28,plain,
    ( ec
    = ( ^ [Z0: reg,Z1: reg] :
          ( ( c @ Z0 @ Z1 )
          & ~ ? [X60: reg] :
                ( ! [X61: reg] :
                    ( ( c @ X61 @ X60 )
                   => ( c @ X61 @ Z0 ) )
                & ! [X62: reg] :
                    ( ( c @ X62 @ X60 )
                   => ( c @ X62 @ Z1 ) ) ) ) ) ),
    inference(apply_def,[status(thm)],[c_0_21,c_0_22]) ).

thf(c_0_29,plain,
    ( pp
    = ( ^ [Z0: reg,Z1: reg] :
          ( ! [X63: reg] :
              ( ( c @ X63 @ Z0 )
             => ( c @ X63 @ Z1 ) )
          & ~ ! [X64: reg] :
                ( ( c @ X64 @ Z1 )
               => ( c @ X64 @ Z0 ) ) ) ) ),
    inference(apply_def,[status(thm)],[c_0_23,c_0_20]) ).

thf(c_0_30,plain,
    ( po
    = ( ^ [Z0: reg,Z1: reg] :
          ( ? [X55: reg] :
              ( ! [X56: reg] :
                  ( ( c @ X56 @ X55 )
                 => ( c @ X56 @ Z0 ) )
              & ! [X57: reg] :
                  ( ( c @ X57 @ X55 )
                 => ( c @ X57 @ Z1 ) ) )
          & ~ ! [X58: reg] :
                ( ( c @ X58 @ Z0 )
               => ( c @ X58 @ Z1 ) )
          & ~ ! [X59: reg] :
                ( ( c @ X59 @ Z1 )
               => ( c @ X59 @ Z0 ) ) ) ) ),
    inference(fof_simplification,[status(thm)],[po]) ).

thf(c_0_31,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_24,c_0_25]),c_0_26]) ).

thf(c_0_32,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_33,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_34,plain,
    ( mvalid
    = ( ^ [Z0: $i > $o] :
        ! [X3: $i] : ( Z0 @ X3 ) ) ),
    inference(fof_simplification,[status(thm)],[mvalid]) ).

thf(c_0_35,plain,
    ( ntpp
    = ( ^ [Z0: reg,Z1: reg] :
          ( ! [X73: reg] :
              ( ( c @ X73 @ Z0 )
             => ( c @ X73 @ Z1 ) )
          & ~ ! [X74: reg] :
                ( ( c @ X74 @ Z1 )
               => ( c @ X74 @ Z0 ) )
          & ~ ? [X25: reg] :
                ( ( c @ X25 @ Z0 )
                & ~ ? [X75: reg] :
                      ( ! [X76: reg] :
                          ( ( c @ X76 @ X75 )
                         => ( c @ X76 @ X25 ) )
                      & ! [X77: reg] :
                          ( ( c @ X77 @ X75 )
                         => ( c @ X77 @ Z0 ) ) )
                & ( c @ X25 @ Z1 )
                & ~ ? [X78: reg] :
                      ( ! [X79: reg] :
                          ( ( c @ X79 @ X78 )
                         => ( c @ X79 @ X25 ) )
                      & ! [X80: reg] :
                          ( ( c @ X80 @ X78 )
                         => ( c @ X80 @ Z1 ) ) ) ) ) ) ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_27,c_0_28]),c_0_29]) ).

thf(c_0_36,negated_conjecture,
    ~ ( mvalid
      @ ( mbox @ a
        @ ^ [X44: $i] :
            ~ ( po @ catalunya @ paris ) ) ),
    inference(assume_negation,[status(cth)],[con]) ).

thf(c_0_37,plain,
    ( po
    = ( ^ [Z0: reg,Z1: reg] :
          ( ? [X55: reg] :
              ( ! [X56: reg] :
                  ( ( c @ X56 @ X55 )
                 => ( c @ X56 @ Z0 ) )
              & ! [X57: reg] :
                  ( ( c @ X57 @ X55 )
                 => ( c @ X57 @ Z1 ) ) )
          & ~ ! [X58: reg] :
                ( ( c @ X58 @ Z0 )
               => ( c @ X58 @ Z1 ) )
          & ~ ! [X59: reg] :
                ( ( c @ X59 @ Z1 )
               => ( c @ X59 @ Z0 ) ) ) ) ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_30,c_0_20]),c_0_22]) ).

thf(c_0_38,plain,
    ! [X83: $i,X82: $i > $o] :
      ( ~ ! [X81: $i] :
            ( ~ ( fool @ X83 @ X81 )
            | ( X82 @ X81 ) )
      | ( X82 @ X83 ) ),
    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_31]),c_0_32]),c_0_33]),c_0_34])]) ).

thf(c_0_39,plain,
    ! [X119: $i,X118: $i] :
      ( ~ ( a @ X119 @ X118 )
      | ( ! [X109: reg] :
            ( ( c @ X109 @ paris )
           => ( c @ X109 @ france ) )
        & ~ ! [X110: reg] :
              ( ( c @ X110 @ france )
             => ( c @ X110 @ paris ) )
        & ~ ? [X111: reg] :
              ( ( c @ X111 @ paris )
              & ~ ? [X112: reg] :
                    ( ! [X113: reg] :
                        ( ( c @ X113 @ X112 )
                       => ( c @ X113 @ X111 ) )
                    & ! [X114: reg] :
                        ( ( c @ X114 @ X112 )
                       => ( c @ X114 @ paris ) ) )
              & ( c @ X111 @ france )
              & ~ ? [X115: reg] :
                    ( ! [X116: reg] :
                        ( ( c @ X116 @ X115 )
                       => ( c @ X116 @ X111 ) )
                    & ! [X117: reg] :
                        ( ( c @ X117 @ X115 )
                       => ( c @ X117 @ france ) ) ) ) ) ),
    inference(fof_simplification,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(fof_simplification,[status(thm)],[ax3]),c_0_33]),c_0_34]),c_0_35])]) ).

thf(c_0_40,negated_conjecture,
    ~ ! [X126: $i,X125: $i] :
        ( ~ ( a @ X126 @ X125 )
        | ~ ( ? [X120: reg] :
                ( ! [X121: reg] :
                    ( ( c @ X121 @ X120 )
                   => ( c @ X121 @ catalunya ) )
                & ! [X122: reg] :
                    ( ( c @ X122 @ X120 )
                   => ( c @ X122 @ paris ) ) )
            & ~ ! [X123: reg] :
                  ( ( c @ X123 @ catalunya )
                 => ( c @ X123 @ paris ) )
            & ~ ! [X124: reg] :
                  ( ( c @ X124 @ paris )
                 => ( c @ X124 @ catalunya ) ) ) ),
    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)],[c_0_36]),c_0_33]),c_0_34]),c_0_37])]) ).

thf(c_0_41,plain,
    ! [X108: $i,X107: $i] :
      ( ~ ( fool @ X108 @ X107 )
      | ( ( c @ spain @ france )
        & ~ ? [X104: reg] :
              ( ! [X105: reg] :
                  ( ( c @ X105 @ X104 )
                 => ( c @ X105 @ spain ) )
              & ! [X106: reg] :
                  ( ( c @ X106 @ X104 )
                 => ( c @ X106 @ 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_33]),c_0_34]),c_0_28])]) ).

thf(c_0_42,plain,
    ! [X130: $i,X131: $i > $o] :
      ( ( ( fool @ X130 @ ( esk1_2 @ X130 @ X131 ) )
        | ( X131 @ X130 ) )
      & ( ~ ( X131 @ ( esk1_2 @ X130 @ X131 ) )
        | ( X131 @ X130 ) ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_38])])])])]) ).

thf(c_0_43,plain,
    ( tpp
    = ( ^ [Z0: reg,Z1: reg] :
          ( ! [X65: reg] :
              ( ( c @ X65 @ Z0 )
             => ( c @ X65 @ Z1 ) )
          & ~ ! [X66: reg] :
                ( ( c @ X66 @ Z1 )
               => ( c @ X66 @ Z0 ) )
          & ? [X25: reg] :
              ( ( c @ X25 @ Z0 )
              & ~ ? [X67: reg] :
                    ( ! [X68: reg] :
                        ( ( c @ X68 @ X67 )
                       => ( c @ X68 @ X25 ) )
                    & ! [X69: reg] :
                        ( ( c @ X69 @ X67 )
                       => ( c @ X69 @ Z0 ) ) )
              & ( c @ X25 @ Z1 )
              & ~ ? [X70: reg] :
                    ( ! [X71: reg] :
                        ( ( c @ X71 @ X70 )
                       => ( c @ X71 @ X25 ) )
                    & ! [X72: reg] :
                        ( ( c @ X72 @ X70 )
                       => ( c @ X72 @ Z1 ) ) ) ) ) ) ),
    inference(fof_simplification,[status(thm)],[tpp]) ).

thf(c_0_44,plain,
    ! [X158: $i,X159: $i,X160: reg,X162: reg,X164: reg,X165: reg,X167: reg,X168: reg] :
      ( ( ~ ( c @ X160 @ paris )
        | ( c @ X160 @ france )
        | ~ ( a @ X158 @ X159 ) )
      & ( ( c @ esk12_0 @ france )
        | ~ ( a @ X158 @ X159 ) )
      & ( ~ ( c @ esk12_0 @ paris )
        | ~ ( a @ X158 @ X159 ) )
      & ( ~ ( c @ X167 @ ( esk14_1 @ X162 ) )
        | ( c @ X167 @ X162 )
        | ~ ( c @ X162 @ france )
        | ~ ( c @ X164 @ ( esk13_1 @ X162 ) )
        | ( c @ X164 @ X162 )
        | ~ ( c @ X162 @ paris )
        | ~ ( a @ X158 @ X159 ) )
      & ( ~ ( c @ X168 @ ( esk14_1 @ X162 ) )
        | ( c @ X168 @ france )
        | ~ ( c @ X162 @ france )
        | ~ ( c @ X164 @ ( esk13_1 @ X162 ) )
        | ( c @ X164 @ X162 )
        | ~ ( c @ X162 @ paris )
        | ~ ( a @ X158 @ X159 ) )
      & ( ~ ( c @ X167 @ ( esk14_1 @ X162 ) )
        | ( c @ X167 @ X162 )
        | ~ ( c @ X162 @ france )
        | ~ ( c @ X165 @ ( esk13_1 @ X162 ) )
        | ( c @ X165 @ paris )
        | ~ ( c @ X162 @ paris )
        | ~ ( a @ X158 @ X159 ) )
      & ( ~ ( c @ X168 @ ( esk14_1 @ X162 ) )
        | ( c @ X168 @ france )
        | ~ ( c @ X162 @ france )
        | ~ ( c @ X165 @ ( esk13_1 @ X162 ) )
        | ( c @ X165 @ paris )
        | ~ ( c @ X162 @ paris )
        | ~ ( a @ X158 @ X159 ) ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_39])])])])])])]) ).

thf(c_0_45,negated_conjecture,
    ! [X172: reg,X173: reg] :
      ( ( a @ esk15_0 @ esk16_0 )
      & ( ~ ( c @ X172 @ esk17_0 )
        | ( c @ X172 @ catalunya ) )
      & ( ~ ( c @ X173 @ esk17_0 )
        | ( c @ X173 @ paris ) )
      & ( c @ esk18_0 @ catalunya )
      & ~ ( c @ esk18_0 @ paris )
      & ( c @ esk19_0 @ paris )
      & ~ ( c @ esk19_0 @ catalunya ) ),
    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_40])])])])]) ).

thf(c_0_46,plain,
    ! [X153: $i,X154: $i,X155: reg] :
      ( ( ( c @ spain @ france )
        | ~ ( fool @ X153 @ X154 ) )
      & ( ( c @ ( esk11_1 @ X155 ) @ X155 )
        | ( c @ ( esk10_1 @ X155 ) @ X155 )
        | ~ ( fool @ X153 @ X154 ) )
      & ( ~ ( c @ ( esk11_1 @ X155 ) @ france )
        | ( c @ ( esk10_1 @ X155 ) @ X155 )
        | ~ ( fool @ X153 @ X154 ) )
      & ( ( c @ ( esk11_1 @ X155 ) @ X155 )
        | ~ ( c @ ( esk10_1 @ X155 ) @ spain )
        | ~ ( fool @ X153 @ X154 ) )
      & ( ~ ( c @ ( esk11_1 @ X155 ) @ france )
        | ~ ( c @ ( esk10_1 @ X155 ) @ spain )
        | ~ ( fool @ X153 @ X154 ) ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_41])])])])])])]) ).

thf(c_0_47,plain,
    ! [X3: $i,X4: $i > $o] :
      ( ( X4 @ X3 )
      | ~ ( X4 @ ( esk1_2 @ X3 @ X4 ) ) ),
    inference(split_conjunct,[status(thm)],[c_0_42]) ).

thf(c_0_48,plain,
    ! [X4: $i > $o,X3: $i] :
      ( ( fool @ X3 @ ( esk1_2 @ X3 @ X4 ) )
      | ( X4 @ X3 ) ),
    inference(split_conjunct,[status(thm)],[c_0_42]) ).

thf(c_0_49,plain,
    ( tpp
    = ( ^ [Z0: reg,Z1: reg] :
          ( ! [X65: reg] :
              ( ( c @ X65 @ Z0 )
             => ( c @ X65 @ Z1 ) )
          & ~ ! [X66: reg] :
                ( ( c @ X66 @ Z1 )
               => ( c @ X66 @ Z0 ) )
          & ? [X25: reg] :
              ( ( c @ X25 @ Z0 )
              & ~ ? [X67: reg] :
                    ( ! [X68: reg] :
                        ( ( c @ X68 @ X67 )
                       => ( c @ X68 @ X25 ) )
                    & ! [X69: reg] :
                        ( ( c @ X69 @ X67 )
                       => ( c @ X69 @ Z0 ) ) )
              & ( c @ X25 @ Z1 )
              & ~ ? [X70: reg] :
                    ( ! [X71: reg] :
                        ( ( c @ X71 @ X70 )
                       => ( c @ X71 @ X25 ) )
                    & ! [X72: reg] :
                        ( ( c @ X72 @ X70 )
                       => ( c @ X72 @ Z1 ) ) ) ) ) ) ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_43,c_0_28]),c_0_29]) ).

thf(c_0_50,plain,
    ! [X18: reg,X3: $i,X14: $i] :
      ( ( c @ X18 @ france )
      | ~ ( c @ X18 @ paris )
      | ~ ( a @ X3 @ X14 ) ),
    inference(split_conjunct,[status(thm)],[c_0_44]) ).

thf(c_0_51,negated_conjecture,
    a @ esk15_0 @ esk16_0,
    inference(split_conjunct,[status(thm)],[c_0_45]) ).

thf(c_0_52,plain,
    ! [X18: reg,X3: $i,X14: $i] :
      ( ( c @ ( esk11_1 @ X18 ) @ X18 )
      | ( c @ ( esk10_1 @ X18 ) @ X18 )
      | ~ ( fool @ X3 @ X14 ) ),
    inference(split_conjunct,[status(thm)],[c_0_46]) ).

thf(c_0_53,plain,
    ! [X3: $i] : ( fool @ X3 @ X3 ),
    inference(spm,[status(thm)],[c_0_47,c_0_48]) ).

thf(c_0_54,plain,
    ! [X103: $i,X102: $i] :
      ( ~ ( a @ X103 @ X102 )
      | ( ! [X93: reg] :
            ( ( c @ X93 @ catalunya )
           => ( c @ X93 @ spain ) )
        & ~ ! [X94: reg] :
              ( ( c @ X94 @ spain )
             => ( c @ X94 @ catalunya ) )
        & ? [X95: reg] :
            ( ( c @ X95 @ catalunya )
            & ~ ? [X96: reg] :
                  ( ! [X97: reg] :
                      ( ( c @ X97 @ X96 )
                     => ( c @ X97 @ X95 ) )
                  & ! [X98: reg] :
                      ( ( c @ X98 @ X96 )
                     => ( c @ X98 @ catalunya ) ) )
            & ( c @ X95 @ spain )
            & ~ ? [X99: reg] :
                  ( ! [X100: reg] :
                      ( ( c @ X100 @ X99 )
                     => ( c @ X100 @ X95 ) )
                  & ! [X101: reg] :
                      ( ( c @ X101 @ X99 )
                     => ( c @ X101 @ spain ) ) ) ) ) ),
    inference(fof_simplification,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(fof_simplification,[status(thm)],[ax1]),c_0_33]),c_0_34]),c_0_49])]) ).

thf(c_0_55,plain,
    ! [X18: reg,X3: $i,X14: $i] :
      ( ( c @ ( esk10_1 @ X18 ) @ X18 )
      | ~ ( c @ ( esk11_1 @ X18 ) @ france )
      | ~ ( fool @ X3 @ X14 ) ),
    inference(split_conjunct,[status(thm)],[c_0_46]) ).

thf(c_0_56,negated_conjecture,
    ! [X18: reg] :
      ( ( c @ X18 @ france )
      | ~ ( c @ X18 @ paris ) ),
    inference(spm,[status(thm)],[c_0_50,c_0_51]) ).

thf(c_0_57,negated_conjecture,
    ! [X18: reg] :
      ( ( c @ X18 @ paris )
      | ~ ( c @ X18 @ esk17_0 ) ),
    inference(split_conjunct,[status(thm)],[c_0_45]) ).

thf(c_0_58,plain,
    ! [X18: reg] :
      ( ( c @ ( esk10_1 @ X18 ) @ X18 )
      | ( c @ ( esk11_1 @ X18 ) @ X18 ) ),
    inference(spm,[status(thm)],[c_0_52,c_0_53]) ).

thf(c_0_59,plain,
    ! [X142: $i,X143: $i,X144: reg,X147: reg,X150: reg] :
      ( ( ~ ( c @ X144 @ catalunya )
        | ( c @ X144 @ spain )
        | ~ ( a @ X142 @ X143 ) )
      & ( ( c @ esk4_0 @ spain )
        | ~ ( a @ X142 @ X143 ) )
      & ( ~ ( c @ esk4_0 @ catalunya )
        | ~ ( a @ X142 @ X143 ) )
      & ( ( c @ esk5_0 @ catalunya )
        | ~ ( a @ X142 @ X143 ) )
      & ( ( c @ ( esk7_1 @ X147 ) @ X147 )
        | ( c @ ( esk6_1 @ X147 ) @ X147 )
        | ~ ( a @ X142 @ X143 ) )
      & ( ~ ( c @ ( esk7_1 @ X147 ) @ catalunya )
        | ( c @ ( esk6_1 @ X147 ) @ X147 )
        | ~ ( a @ X142 @ X143 ) )
      & ( ( c @ ( esk7_1 @ X147 ) @ X147 )
        | ~ ( c @ ( esk6_1 @ X147 ) @ esk5_0 )
        | ~ ( a @ X142 @ X143 ) )
      & ( ~ ( c @ ( esk7_1 @ X147 ) @ catalunya )
        | ~ ( c @ ( esk6_1 @ X147 ) @ esk5_0 )
        | ~ ( a @ X142 @ X143 ) )
      & ( ( c @ esk5_0 @ spain )
        | ~ ( a @ X142 @ X143 ) )
      & ( ( c @ ( esk9_1 @ X150 ) @ X150 )
        | ( c @ ( esk8_1 @ X150 ) @ X150 )
        | ~ ( a @ X142 @ X143 ) )
      & ( ~ ( c @ ( esk9_1 @ X150 ) @ spain )
        | ( c @ ( esk8_1 @ X150 ) @ X150 )
        | ~ ( a @ X142 @ X143 ) )
      & ( ( c @ ( esk9_1 @ X150 ) @ X150 )
        | ~ ( c @ ( esk8_1 @ X150 ) @ esk5_0 )
        | ~ ( a @ X142 @ X143 ) )
      & ( ~ ( c @ ( esk9_1 @ X150 ) @ spain )
        | ~ ( c @ ( esk8_1 @ X150 ) @ esk5_0 )
        | ~ ( a @ X142 @ X143 ) ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_54])])])])])])]) ).

thf(c_0_60,negated_conjecture,
    ! [X18: reg,X3: $i,X14: $i] :
      ( ( c @ ( esk10_1 @ X18 ) @ X18 )
      | ~ ( c @ ( esk11_1 @ X18 ) @ paris )
      | ~ ( fool @ X3 @ X14 ) ),
    inference(spm,[status(thm)],[c_0_55,c_0_56]) ).

thf(c_0_61,negated_conjecture,
    ( ( c @ ( esk10_1 @ esk17_0 ) @ esk17_0 )
    | ( c @ ( esk11_1 @ esk17_0 ) @ paris ) ),
    inference(spm,[status(thm)],[c_0_57,c_0_58]) ).

thf(c_0_62,plain,
    ! [X128: reg,X129: reg] :
      ( ~ ( c @ X128 @ X129 )
      | ( c @ X129 @ X128 ) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_symmetric])])]) ).

thf(c_0_63,plain,
    ! [X18: reg,X3: $i,X14: $i] :
      ( ( c @ X18 @ spain )
      | ~ ( c @ X18 @ catalunya )
      | ~ ( a @ X3 @ X14 ) ),
    inference(split_conjunct,[status(thm)],[c_0_59]) ).

thf(c_0_64,negated_conjecture,
    ! [X3: $i,X14: $i] :
      ( ( c @ ( esk10_1 @ esk17_0 ) @ esk17_0 )
      | ~ ( fool @ X3 @ X14 ) ),
    inference(spm,[status(thm)],[c_0_60,c_0_61]) ).

thf(c_0_65,plain,
    ! [X18: reg,X19: reg] :
      ( ( c @ X19 @ X18 )
      | ~ ( c @ X18 @ X19 ) ),
    inference(split_conjunct,[status(thm)],[c_0_62]) ).

thf(c_0_66,negated_conjecture,
    ! [X18: reg] :
      ( ( c @ X18 @ spain )
      | ~ ( c @ X18 @ catalunya ) ),
    inference(spm,[status(thm)],[c_0_63,c_0_51]) ).

thf(c_0_67,negated_conjecture,
    ! [X18: reg] :
      ( ( c @ X18 @ catalunya )
      | ~ ( c @ X18 @ esk17_0 ) ),
    inference(split_conjunct,[status(thm)],[c_0_45]) ).

thf(c_0_68,negated_conjecture,
    c @ ( esk10_1 @ esk17_0 ) @ esk17_0,
    inference(spm,[status(thm)],[c_0_64,c_0_53]) ).

thf(c_0_69,plain,
    ! [X18: reg,X3: $i,X14: $i] :
      ( ( c @ ( esk11_1 @ X18 ) @ X18 )
      | ~ ( c @ ( esk10_1 @ X18 ) @ spain )
      | ~ ( fool @ X3 @ X14 ) ),
    inference(split_conjunct,[status(thm)],[c_0_46]) ).

thf(c_0_70,negated_conjecture,
    ! [X18: reg] :
      ( ( c @ spain @ X18 )
      | ~ ( c @ X18 @ catalunya ) ),
    inference(spm,[status(thm)],[c_0_65,c_0_66]) ).

thf(c_0_71,negated_conjecture,
    c @ ( esk10_1 @ esk17_0 ) @ catalunya,
    inference(spm,[status(thm)],[c_0_67,c_0_68]) ).

thf(c_0_72,plain,
    ! [X18: reg] :
      ( ( c @ ( esk11_1 @ X18 ) @ X18 )
      | ~ ( c @ ( esk10_1 @ X18 ) @ spain ) ),
    inference(spm,[status(thm)],[c_0_69,c_0_53]) ).

thf(c_0_73,negated_conjecture,
    c @ spain @ ( esk10_1 @ esk17_0 ),
    inference(spm,[status(thm)],[c_0_70,c_0_71]) ).

thf(c_0_74,plain,
    ! [X18: reg,X3: $i,X14: $i] :
      ( ~ ( c @ ( esk11_1 @ X18 ) @ france )
      | ~ ( c @ ( esk10_1 @ X18 ) @ spain )
      | ~ ( fool @ X3 @ X14 ) ),
    inference(split_conjunct,[status(thm)],[c_0_46]) ).

thf(c_0_75,negated_conjecture,
    ( ( c @ ( esk11_1 @ esk17_0 ) @ paris )
    | ~ ( c @ ( esk10_1 @ esk17_0 ) @ spain ) ),
    inference(spm,[status(thm)],[c_0_57,c_0_72]) ).

thf(c_0_76,negated_conjecture,
    c @ ( esk10_1 @ esk17_0 ) @ spain,
    inference(spm,[status(thm)],[c_0_65,c_0_73]) ).

thf(c_0_77,negated_conjecture,
    ! [X18: reg,X3: $i,X14: $i] :
      ( ~ ( c @ ( esk10_1 @ X18 ) @ spain )
      | ~ ( c @ ( esk11_1 @ X18 ) @ paris )
      | ~ ( fool @ X3 @ X14 ) ),
    inference(spm,[status(thm)],[c_0_74,c_0_56]) ).

thf(c_0_78,negated_conjecture,
    c @ ( esk11_1 @ esk17_0 ) @ paris,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_75,c_0_76])]) ).

thf(c_0_79,negated_conjecture,
    ! [X3: $i,X14: $i] :
      ~ ( fool @ X3 @ X14 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_77,c_0_78]),c_0_76])]) ).

thf(c_0_80,plain,
    $false,
    inference(sr,[status(thm)],[c_0_53,c_0_79]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02  % Problem  : GEG005^1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.05  % Command  : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.19  % Computer : n004.cluster.edu
% 0.11/0.19  % Model    : x86_64 x86_64
% 0.11/0.19  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.19  % Memory   : 8046.5625MB
% 0.11/0.19  % OS       : Linux 6.8.0-71-generic
% 0.11/0.19  % CPULimit : 300
% 0.11/0.19  % WCLimit  : 300
% 0.11/0.19  % DateTime : Tue Sep 29 18:33:52 UTC 2026
% 0.11/0.19  % CPUTime  : 
% 0.11/0.19  Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.23  Running higher-order theorem proving
% 0.11/0.25  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.8mKQiNu8WK/E---3.1_1670973.p
% 0.11/0.30  % Version: 3.5.1-ho
% 0.11/0.30  % Preprocessing class: HSMSSMSSMLLNHSN.
% 0.11/0.30  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.11/0.30  % Starting new_ho_10_cnf2 with 1500s (5) cores
% 0.11/0.30  % Starting post_as_ho3 with 300s (1) cores
% 0.11/0.30  % Starting new_ho_12 with 300s (1) cores
% 0.11/0.30  % Starting new_bool_2 with 300s (1) cores
% 0.11/0.30  % post_as_ho3 with pid 1670998 completed with status 0
% 0.11/0.30  % Result found by post_as_ho3
% 0.11/0.30  % Preprocessing class: HSMSSMSSMLLNHSN.
% 0.11/0.30  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.11/0.30  % Starting new_ho_10_cnf2 with 1500s (5) cores
% 0.11/0.30  % Starting post_as_ho3 with 300s (1) cores
% 0.11/0.30  % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.11/0.30  % No SInE strategy applied
% 0.11/0.30  % Search class: HGHNF-FFMS21-SHSSMSBN
% 0.11/0.30  % partial match(1): HGHNF-FFMF21-SHSSMSBN
% 0.11/0.30  % Scheduled 7 strats onto 1 cores with 300 seconds (300 total)
% 0.11/0.30  % Starting SubtermCWHack with 28s (1) cores
% 0.11/0.30  % SubtermCWHack with pid 1671013 completed with status 0
% 0.11/0.30  % Result found by SubtermCWHack
% 0.11/0.30  % Preprocessing class: HSMSSMSSMLLNHSN.
% 0.11/0.30  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.11/0.30  % Starting new_ho_10_cnf2 with 1500s (5) cores
% 0.11/0.30  % Starting post_as_ho3 with 300s (1) cores
% 0.11/0.30  % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.11/0.30  % No SInE strategy applied
% 0.11/0.30  % Search class: HGHNF-FFMS21-SHSSMSBN
% 0.11/0.30  % partial match(1): HGHNF-FFMF21-SHSSMSBN
% 0.11/0.30  % Scheduled 7 strats onto 1 cores with 300 seconds (300 total)
% 0.11/0.30  % Starting SubtermCWHack with 28s (1) cores
% 0.11/0.30  % Preprocessing time       : 0.001 s
% 0.11/0.30  
% 0.11/0.30  % Proof found!
% 0.11/0.30  % SZS status Theorem
% 0.11/0.30  % SZS output start CNFRefutation
% See solution above
% 0.11/0.30  % Parsed axioms                        : 98
% 0.11/0.30  % Removed by relevancy pruning/SinE    : 0
% 0.11/0.30  % Initial clauses                      : 89
% 0.11/0.30  % Removed in clause preprocessing      : 49
% 0.11/0.30  % Initial clauses in saturation        : 40
% 0.11/0.30  % Processed clauses                    : 312
% 0.11/0.30  % ...of these trivial                  : 8
% 0.11/0.30  % ...subsumed                          : 18
% 0.11/0.30  % ...remaining for further processing  : 286
% 0.11/0.30  % Other redundant clauses eliminated   : 0
% 0.11/0.30  % Clauses deleted for lack of memory   : 0
% 0.11/0.30  % Backward-subsumed                    : 61
% 0.11/0.30  % Backward-rewritten                   : 54
% 0.11/0.30  % Generated clauses                    : 517
% 0.11/0.30  % ...of the previous two non-redundant : 448
% 0.11/0.30  % ...aggressively subsumed             : 0
% 0.11/0.30  % Contextual simplify-reflections      : 4
% 0.11/0.30  % Paramodulations                      : 514
% 0.11/0.30  % Factorizations                       : 0
% 0.11/0.30  % NegExts                              : 0
% 0.11/0.30  % Equation resolutions                 : 0
% 0.11/0.30  % Disequality decompositions           : 0
% 0.11/0.30  % Total rewrite steps                  : 135
% 0.11/0.30  % ...of those cached                   : 71
% 0.11/0.30  % Propositional unsat checks           : 0
% 0.11/0.30  %    Propositional check models        : 0
% 0.11/0.30  %    Propositional check unsatisfiable : 0
% 0.11/0.30  %    Propositional clauses             : 0
% 0.11/0.30  %    Propositional clauses after purity: 0
% 0.11/0.30  %    Propositional unsat core size     : 0
% 0.11/0.30  %    Propositional preprocessing time  : 0.000
% 0.11/0.30  %    Propositional encoding time       : 0.000
% 0.11/0.30  %    Propositional solver time         : 0.000
% 0.11/0.30  %    Success case prop preproc time    : 0.000
% 0.11/0.30  %    Success case prop encoding time   : 0.000
% 0.11/0.30  %    Success case prop solver time     : 0.000
% 0.11/0.30  % Current number of processed clauses  : 168
% 0.11/0.30  %    Positive orientable unit clauses  : 91
% 0.11/0.30  %    Positive unorientable unit clauses: 0
% 0.11/0.30  %    Negative unit clauses             : 5
% 0.11/0.30  %    Non-unit-clauses                  : 72
% 0.11/0.30  % Current number of unprocessed clauses: 149
% 0.11/0.30  % ...number of literals in the above   : 505
% 0.11/0.30  % Current number of archived formulas  : 0
% 0.11/0.30  % Current number of archived clauses   : 118
% 0.11/0.30  % Clause-clause subsumption calls (NU) : 3990
% 0.11/0.30  % Rec. Clause-clause subsumption calls : 3407
% 0.11/0.30  % Non-unit clause-clause subsumptions  : 30
% 0.11/0.30  % Unit Clause-clause subsumption calls : 1050
% 0.11/0.30  % Rewrite failures with RHS unbound    : 0
% 0.11/0.30  % BW rewrite match attempts            : 34
% 0.11/0.30  % BW rewrite match successes           : 30
% 0.11/0.30  % Condensation attempts                : 0
% 0.11/0.30  % Condensation successes               : 0
% 0.11/0.30  % Termbank termtop insertions          : 11788
% 0.11/0.30  % Search garbage collected termcells   : 1981
% 0.11/0.30  
% 0.11/0.30  % -------------------------------------------------
% 0.11/0.30  % User time                : 0.023 s
% 0.11/0.30  % System time              : 0.001 s
% 0.11/0.30  % Total time               : 0.024 s
% 0.11/0.30  % Maximum resident set size: 3992 pages
% 0.11/0.30  
% 0.11/0.30  % -------------------------------------------------
% 0.11/0.30  % User time                : 0.025 s
% 0.11/0.30  % System time              : 0.006 s
% 0.11/0.30  % Total time               : 0.031 s
% 0.11/0.30  % Maximum resident set size: 4608 pages
% 0.11/0.30  % E exiting
%------------------------------------------------------------------------------