TSTP Solution File: GEG002^1 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : GEG002^1 : TPTP v8.1.2. Released v4.1.0.
% Transfm  : NO INFORMATION
% Format   : NO INFORMATION
% Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.Pg8AZ7QkBC true

% Computer : n011.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 : Wed Aug 30 22:42:13 EDT 2023

% Result   : Theorem 63.31s 8.84s
% Output   : Refutation 63.31s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :   67
% Syntax   : Number of formulae    :  116 (  26 unt;  33 typ;   0 def)
%            Number of atoms       :  274 (  21 equ;   0 cnn)
%            Maximal formula atoms :   14 (   3 avg)
%            Number of connectives :  714 (  79   ~;  53   |;  56   &; 486   @)
%                                         (   0 <=>;  40  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   14 (   6 avg)
%            Number of types       :    2 (   1 usr)
%            Number of type conns  :   56 (  56   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   26 (  24 usr;   5 con; 0-3 aty)
%            Number of variables   :  185 (  42   ^; 120   !;  23   ?; 185   :)

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

thf(zip_tseitin_5_type,type,
    zip_tseitin_5: reg > reg > $o ).

thf(sk__10_type,type,
    sk__10: reg > reg ).

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

thf(sk__13_type,type,
    sk__13: reg > reg ).

thf(zip_tseitin_3_type,type,
    zip_tseitin_3: reg > reg > $o ).

thf(dc_type,type,
    dc: reg > reg > $o ).

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

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

thf(catalunya_type,type,
    catalunya: reg ).

thf(sk__14_type,type,
    sk__14: reg > reg ).

thf(zip_tseitin_0_type,type,
    zip_tseitin_0: reg > reg > reg > $o ).

thf(zip_tseitin_6_type,type,
    zip_tseitin_6: reg > reg > $o ).

thf(zip_tseitin_2_type,type,
    zip_tseitin_2: reg > reg > reg > $o ).

thf(zip_tseitin_4_type,type,
    zip_tseitin_4: reg > reg > $o ).

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

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

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

thf(zip_tseitin_7_type,type,
    zip_tseitin_7: reg > reg > $o ).

thf(zip_tseitin_1_type,type,
    zip_tseitin_1: reg > reg > $o ).

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

thf(france_type,type,
    france: reg ).

thf(spain_type,type,
    spain: reg ).

thf(paris_type,type,
    paris: reg ).

thf(sk__11_type,type,
    sk__11: reg > reg ).

thf(ntpp,axiom,
    ( ntpp
    = ( ^ [X: reg,Y: reg] :
          ( ( pp @ X @ Y )
          & ~ ? [Z: reg] :
                ( ( ec @ Z @ Y )
                & ( ec @ Z @ X ) ) ) ) ) ).

thf(ec,axiom,
    ( ec
    = ( ^ [X: reg,Y: reg] :
          ( ( c @ X @ Y )
          & ~ ( o @ X @ Y ) ) ) ) ).

thf(o,axiom,
    ( o
    = ( ^ [X: reg,Y: reg] :
        ? [Z: reg] :
          ( ( p @ Z @ Y )
          & ( p @ Z @ X ) ) ) ) ).

thf(p,axiom,
    ( p
    = ( ^ [X: reg,Y: reg] :
        ! [Z: reg] :
          ( ( c @ Z @ X )
         => ( c @ Z @ Y ) ) ) ) ).

thf('0',plain,
    ( p
    = ( ^ [X: reg,Y: reg] :
        ! [Z: reg] :
          ( ( c @ Z @ X )
         => ( c @ Z @ Y ) ) ) ),
    inference(simplify_rw_rule,[status(thm)],[p]) ).

thf('1',plain,
    ( p
    = ( ^ [V_1: reg,V_2: reg] :
        ! [X4: reg] :
          ( ( c @ X4 @ V_1 )
         => ( c @ X4 @ V_2 ) ) ) ),
    define([status(thm)]) ).

thf('2',plain,
    ( o
    = ( ^ [X: reg,Y: reg] :
        ? [Z: reg] :
          ( ( p @ Z @ Y )
          & ( p @ Z @ X ) ) ) ),
    inference(simplify_rw_rule,[status(thm)],[o,'1']) ).

thf('3',plain,
    ( o
    = ( ^ [V_1: reg,V_2: reg] :
        ? [X4: reg] :
          ( ( p @ X4 @ V_2 )
          & ( p @ X4 @ V_1 ) ) ) ),
    define([status(thm)]) ).

thf('4',plain,
    ( ec
    = ( ^ [X: reg,Y: reg] :
          ( ( c @ X @ Y )
          & ~ ( o @ X @ Y ) ) ) ),
    inference(simplify_rw_rule,[status(thm)],[ec,'3','1']) ).

thf('5',plain,
    ( ec
    = ( ^ [V_1: reg,V_2: reg] :
          ( ( c @ V_1 @ V_2 )
          & ~ ( o @ V_1 @ V_2 ) ) ) ),
    define([status(thm)]) ).

thf('6',plain,
    ( ntpp
    = ( ^ [X: reg,Y: reg] :
          ( ( pp @ X @ Y )
          & ~ ? [Z: reg] :
                ( ( ec @ Z @ Y )
                & ( ec @ Z @ X ) ) ) ) ),
    inference(simplify_rw_rule,[status(thm)],[ntpp,'5','3','1']) ).

thf('7',plain,
    ( ntpp
    = ( ^ [V_1: reg,V_2: reg] :
          ( ( pp @ V_1 @ V_2 )
          & ~ ? [X4: reg] :
                ( ( ec @ X4 @ V_2 )
                & ( ec @ X4 @ V_1 ) ) ) ) ),
    define([status(thm)]) ).

thf(pp,axiom,
    ( pp
    = ( ^ [X: reg,Y: reg] :
          ( ( p @ X @ Y )
          & ~ ( p @ Y @ X ) ) ) ) ).

thf('8',plain,
    ( pp
    = ( ^ [X: reg,Y: reg] :
          ( ( p @ X @ Y )
          & ~ ( p @ Y @ X ) ) ) ),
    inference(simplify_rw_rule,[status(thm)],[pp,'1']) ).

thf('9',plain,
    ( pp
    = ( ^ [V_1: reg,V_2: reg] :
          ( ( p @ V_1 @ V_2 )
          & ~ ( p @ V_2 @ V_1 ) ) ) ),
    define([status(thm)]) ).

thf(ax3,axiom,
    ntpp @ paris @ france ).

thf(zf_stmt_0,axiom,
    ( ~ ? [X8: reg] :
          ( ~ ? [X16: reg] :
                ( ! [X20: reg] :
                    ( ( c @ X20 @ X16 )
                   => ( c @ X20 @ X8 ) )
                & ! [X18: reg] :
                    ( ( c @ X18 @ X16 )
                   => ( c @ X18 @ paris ) ) )
          & ( c @ X8 @ paris )
          & ~ ? [X10: reg] :
                ( ! [X14: reg] :
                    ( ( c @ X14 @ X10 )
                   => ( c @ X14 @ X8 ) )
                & ! [X12: reg] :
                    ( ( c @ X12 @ X10 )
                   => ( c @ X12 @ france ) ) )
          & ( c @ X8 @ france ) )
    & ~ ! [X6: reg] :
          ( ( c @ X6 @ france )
         => ( c @ X6 @ paris ) )
    & ! [X4: reg] :
        ( ( c @ X4 @ paris )
       => ( c @ X4 @ france ) ) ) ).

thf(zf_stmt_1,axiom,
    ! [X10: reg,X8: reg] :
      ( ( zip_tseitin_7 @ X10 @ X8 )
     => ( ! [X12: reg] :
            ( ( c @ X12 @ X10 )
           => ( c @ X12 @ france ) )
        & ! [X14: reg] :
            ( ( c @ X14 @ X10 )
           => ( c @ X14 @ X8 ) ) ) ) ).

thf(zip_derived_cl25,plain,
    ! [X0: reg,X1: reg,X2: reg] :
      ( ~ ( c @ X0 @ X1 )
      | ( c @ X0 @ france )
      | ~ ( zip_tseitin_7 @ X1 @ X2 ) ),
    inference(cnf,[status(esa)],[zf_stmt_1]) ).

thf(c_symmetric,axiom,
    ! [X: reg,Y: reg] :
      ( ( c @ X @ Y )
     => ( c @ Y @ X ) ) ).

thf(zip_derived_cl1,plain,
    ! [X0: reg,X1: reg] :
      ( ( c @ X0 @ X1 )
      | ~ ( c @ X1 @ X0 ) ),
    inference(cnf,[status(esa)],[c_symmetric]) ).

thf(zip_derived_cl25_001,plain,
    ! [X0: reg,X1: reg,X2: reg] :
      ( ~ ( c @ X0 @ X1 )
      | ( c @ X0 @ france )
      | ~ ( zip_tseitin_7 @ X1 @ X2 ) ),
    inference(cnf,[status(esa)],[zf_stmt_1]) ).

thf(zip_derived_cl219,plain,
    ! [X0: reg,X1: reg,X2: reg] :
      ( ~ ( c @ X0 @ X1 )
      | ~ ( zip_tseitin_7 @ X0 @ X2 )
      | ( c @ X1 @ france ) ),
    inference('sup-',[status(thm)],[zip_derived_cl1,zip_derived_cl25]) ).

thf(zip_derived_cl26,plain,
    ! [X0: reg,X1: reg,X2: reg] :
      ( ~ ( c @ X0 @ X1 )
      | ( c @ X0 @ X2 )
      | ~ ( zip_tseitin_7 @ X1 @ X2 ) ),
    inference(cnf,[status(esa)],[zf_stmt_1]) ).

thf(zip_derived_cl1_002,plain,
    ! [X0: reg,X1: reg] :
      ( ( c @ X0 @ X1 )
      | ~ ( c @ X1 @ X0 ) ),
    inference(cnf,[status(esa)],[c_symmetric]) ).

thf(zip_derived_cl26_003,plain,
    ! [X0: reg,X1: reg,X2: reg] :
      ( ~ ( c @ X0 @ X1 )
      | ( c @ X0 @ X2 )
      | ~ ( zip_tseitin_7 @ X1 @ X2 ) ),
    inference(cnf,[status(esa)],[zf_stmt_1]) ).

thf(zip_derived_cl295,plain,
    ! [X0: reg,X1: reg,X2: reg] :
      ( ~ ( c @ X0 @ X1 )
      | ~ ( zip_tseitin_7 @ X0 @ X2 )
      | ( c @ X1 @ X2 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl1,zip_derived_cl26]) ).

thf(zip_derived_cl1_004,plain,
    ! [X0: reg,X1: reg] :
      ( ( c @ X0 @ X1 )
      | ~ ( c @ X1 @ X0 ) ),
    inference(cnf,[status(esa)],[c_symmetric]) ).

thf(dc,axiom,
    ( dc
    = ( ^ [X: reg,Y: reg] :
          ~ ( c @ X @ Y ) ) ) ).

thf('10',plain,
    ( dc
    = ( ^ [X: reg,Y: reg] :
          ~ ( c @ X @ Y ) ) ),
    inference(simplify_rw_rule,[status(thm)],[dc]) ).

thf('11',plain,
    ( dc
    = ( ^ [V_1: reg,V_2: reg] :
          ~ ( c @ V_1 @ V_2 ) ) ),
    define([status(thm)]) ).

thf(con,conjecture,
    ( ( dc @ spain @ paris )
    & ( dc @ catalunya @ paris ) ) ).

thf(zf_stmt_2,conjecture,
    ( ~ ( c @ catalunya @ paris )
    & ~ ( c @ spain @ paris ) ) ).

thf(zf_stmt_3,negated_conjecture,
    ~ ( ~ ( c @ catalunya @ paris )
      & ~ ( c @ spain @ paris ) ),
    inference('cnf.neg',[status(esa)],[zf_stmt_2]) ).

thf(zip_derived_cl31,plain,
    ( ( c @ catalunya @ paris )
    | ( c @ spain @ paris ) ),
    inference(cnf,[status(esa)],[zf_stmt_3]) ).

thf(zip_derived_cl44,plain,
    ( ( c @ paris @ catalunya )
    | ( c @ spain @ paris ) ),
    inference('sup+',[status(thm)],[zip_derived_cl1,zip_derived_cl31]) ).

thf(tpp,axiom,
    ( tpp
    = ( ^ [X: reg,Y: reg] :
          ( ( pp @ X @ Y )
          & ? [Z: reg] :
              ( ( ec @ Z @ Y )
              & ( ec @ Z @ X ) ) ) ) ) ).

thf('12',plain,
    ( tpp
    = ( ^ [X: reg,Y: reg] :
          ( ( pp @ X @ Y )
          & ? [Z: reg] :
              ( ( ec @ Z @ Y )
              & ( ec @ Z @ X ) ) ) ) ),
    inference(simplify_rw_rule,[status(thm)],[tpp,'5','3','1']) ).

thf('13',plain,
    ( tpp
    = ( ^ [V_1: reg,V_2: reg] :
          ( ( pp @ V_1 @ V_2 )
          & ? [X4: reg] :
              ( ( ec @ X4 @ V_2 )
              & ( ec @ X4 @ V_1 ) ) ) ) ),
    define([status(thm)]) ).

thf(ax1,axiom,
    tpp @ catalunya @ spain ).

thf(zf_stmt_4,axiom,
    ( ? [X8: reg] :
        ( ~ ? [X16: reg] :
              ( ! [X20: reg] :
                  ( ( c @ X20 @ X16 )
                 => ( c @ X20 @ X8 ) )
              & ! [X18: reg] :
                  ( ( c @ X18 @ X16 )
                 => ( c @ X18 @ catalunya ) ) )
        & ( c @ X8 @ catalunya )
        & ~ ? [X10: reg] :
              ( ! [X14: reg] :
                  ( ( c @ X14 @ X10 )
                 => ( c @ X14 @ X8 ) )
              & ! [X12: reg] :
                  ( ( c @ X12 @ X10 )
                 => ( c @ X12 @ spain ) ) )
        & ( c @ X8 @ spain ) )
    & ~ ! [X6: reg] :
          ( ( c @ X6 @ spain )
         => ( c @ X6 @ catalunya ) )
    & ! [X4: reg] :
        ( ( c @ X4 @ catalunya )
       => ( c @ X4 @ spain ) ) ) ).

thf(zf_stmt_5,type,
    zip_tseitin_3: reg > reg > $o ).

thf(zf_stmt_6,axiom,
    ! [X12: reg,X10: reg] :
      ( ( ( c @ X12 @ X10 )
       => ( c @ X12 @ spain ) )
     => ( zip_tseitin_3 @ X12 @ X10 ) ) ).

thf(zf_stmt_7,type,
    zip_tseitin_2: reg > reg > reg > $o ).

thf(zf_stmt_8,axiom,
    ! [X14: reg,X10: reg,X8: reg] :
      ( ( ( c @ X14 @ X10 )
       => ( c @ X14 @ X8 ) )
     => ( zip_tseitin_2 @ X14 @ X10 @ X8 ) ) ).

thf(zf_stmt_9,type,
    zip_tseitin_1: reg > reg > $o ).

thf(zf_stmt_10,axiom,
    ! [X18: reg,X16: reg] :
      ( ( ( c @ X18 @ X16 )
       => ( c @ X18 @ catalunya ) )
     => ( zip_tseitin_1 @ X18 @ X16 ) ) ).

thf(zf_stmt_11,type,
    zip_tseitin_0: reg > reg > reg > $o ).

thf(zf_stmt_12,axiom,
    ! [X20: reg,X16: reg,X8: reg] :
      ( ( ( c @ X20 @ X16 )
       => ( c @ X20 @ X8 ) )
     => ( zip_tseitin_0 @ X20 @ X16 @ X8 ) ) ).

thf(zf_stmt_13,axiom,
    ( ! [X4: reg] :
        ( ( c @ X4 @ catalunya )
       => ( c @ X4 @ spain ) )
    & ~ ! [X6: reg] :
          ( ( c @ X6 @ spain )
         => ( c @ X6 @ catalunya ) )
    & ? [X8: reg] :
        ( ( c @ X8 @ spain )
        & ~ ? [X10: reg] :
              ( ! [X12: reg] : ( zip_tseitin_3 @ X12 @ X10 )
              & ! [X14: reg] : ( zip_tseitin_2 @ X14 @ X10 @ X8 ) )
        & ( c @ X8 @ catalunya )
        & ~ ? [X16: reg] :
              ( ! [X18: reg] : ( zip_tseitin_1 @ X18 @ X16 )
              & ! [X20: reg] : ( zip_tseitin_0 @ X20 @ X16 @ X8 ) ) ) ) ).

thf(zip_derived_cl16,plain,
    ! [X0: reg] :
      ( ( c @ X0 @ spain )
      | ~ ( c @ X0 @ catalunya ) ),
    inference(cnf,[status(esa)],[zf_stmt_13]) ).

thf(zip_derived_cl86,plain,
    ( ( c @ spain @ paris )
    | ( c @ paris @ spain ) ),
    inference('sup-',[status(thm)],[zip_derived_cl44,zip_derived_cl16]) ).

thf(zip_derived_cl1_005,plain,
    ! [X0: reg,X1: reg] :
      ( ( c @ X0 @ X1 )
      | ~ ( c @ X1 @ X0 ) ),
    inference(cnf,[status(esa)],[c_symmetric]) ).

thf(zip_derived_cl94,plain,
    c @ paris @ spain,
    inference(clc,[status(thm)],[zip_derived_cl86,zip_derived_cl1]) ).

thf(ax2,axiom,
    ec @ spain @ france ).

thf(zf_stmt_14,axiom,
    ( ~ ? [X4: reg] :
          ( ! [X8: reg] :
              ( ( c @ X8 @ X4 )
             => ( c @ X8 @ spain ) )
          & ! [X6: reg] :
              ( ( c @ X6 @ X4 )
             => ( c @ X6 @ france ) ) )
    & ( c @ spain @ france ) ) ).

thf(zf_stmt_15,axiom,
    ! [X6: reg,X4: reg] :
      ( ( ( c @ X6 @ X4 )
       => ( c @ X6 @ france ) )
     => ( zip_tseitin_5 @ X6 @ X4 ) ) ).

thf(zip_derived_cl20,plain,
    ! [X0: reg,X1: reg] :
      ( ( zip_tseitin_5 @ X0 @ X1 )
      | ( c @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[zf_stmt_15]) ).

thf(zf_stmt_16,type,
    zip_tseitin_5: reg > reg > $o ).

thf(zf_stmt_17,type,
    zip_tseitin_4: reg > reg > $o ).

thf(zf_stmt_18,axiom,
    ! [X8: reg,X4: reg] :
      ( ( ( c @ X8 @ X4 )
       => ( c @ X8 @ spain ) )
     => ( zip_tseitin_4 @ X8 @ X4 ) ) ).

thf(zf_stmt_19,axiom,
    ( ( c @ spain @ france )
    & ~ ? [X4: reg] :
          ( ! [X6: reg] : ( zip_tseitin_5 @ X6 @ X4 )
          & ! [X8: reg] : ( zip_tseitin_4 @ X8 @ X4 ) ) ) ).

thf(zip_derived_cl21,plain,
    ! [X0: reg] :
      ( ~ ( zip_tseitin_5 @ ( sk__10 @ X0 ) @ X0 )
      | ~ ( zip_tseitin_4 @ ( sk__11 @ X0 ) @ X0 ) ),
    inference(cnf,[status(esa)],[zf_stmt_19]) ).

thf(zip_derived_cl261,plain,
    ! [X0: reg] :
      ( ( c @ ( sk__10 @ X0 ) @ X0 )
      | ~ ( zip_tseitin_4 @ ( sk__11 @ X0 ) @ X0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl20,zip_derived_cl21]) ).

thf(zip_derived_cl17,plain,
    ! [X0: reg,X1: reg] :
      ( ( zip_tseitin_4 @ X0 @ X1 )
      | ~ ( c @ X0 @ spain ) ),
    inference(cnf,[status(esa)],[zf_stmt_18]) ).

thf(zip_derived_cl1070,plain,
    ! [X0: reg] :
      ( ( c @ ( sk__10 @ X0 ) @ X0 )
      | ~ ( c @ ( sk__11 @ X0 ) @ spain ) ),
    inference('sup+',[status(thm)],[zip_derived_cl261,zip_derived_cl17]) ).

thf(zip_derived_cl17_006,plain,
    ! [X0: reg,X1: reg] :
      ( ( zip_tseitin_4 @ X0 @ X1 )
      | ~ ( c @ X0 @ spain ) ),
    inference(cnf,[status(esa)],[zf_stmt_18]) ).

thf(zip_derived_cl261_007,plain,
    ! [X0: reg] :
      ( ( c @ ( sk__10 @ X0 ) @ X0 )
      | ~ ( zip_tseitin_4 @ ( sk__11 @ X0 ) @ X0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl20,zip_derived_cl21]) ).

thf(zip_derived_cl18,plain,
    ! [X0: reg,X1: reg] :
      ( ( zip_tseitin_4 @ X0 @ X1 )
      | ( c @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[zf_stmt_18]) ).

thf(zip_derived_cl1069,plain,
    ! [X0: reg] :
      ( ( c @ ( sk__10 @ X0 ) @ X0 )
      | ( c @ ( sk__11 @ X0 ) @ X0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl261,zip_derived_cl18]) ).

thf(zip_derived_cl1_008,plain,
    ! [X0: reg,X1: reg] :
      ( ( c @ X0 @ X1 )
      | ~ ( c @ X1 @ X0 ) ),
    inference(cnf,[status(esa)],[c_symmetric]) ).

thf(zf_stmt_20,axiom,
    ! [X16: reg,X8: reg] :
      ( ( zip_tseitin_6 @ X16 @ X8 )
     => ( ! [X18: reg] :
            ( ( c @ X18 @ X16 )
           => ( c @ X18 @ paris ) )
        & ! [X20: reg] :
            ( ( c @ X20 @ X16 )
           => ( c @ X20 @ X8 ) ) ) ) ).

thf(zip_derived_cl24,plain,
    ! [X0: reg,X1: reg,X2: reg] :
      ( ~ ( c @ X0 @ X1 )
      | ( c @ X0 @ X2 )
      | ~ ( zip_tseitin_6 @ X1 @ X2 ) ),
    inference(cnf,[status(esa)],[zf_stmt_20]) ).

thf(zip_derived_cl189,plain,
    ! [X0: reg,X1: reg,X2: reg] :
      ( ~ ( c @ X0 @ X1 )
      | ~ ( zip_tseitin_6 @ X0 @ X2 )
      | ( c @ X1 @ X2 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl1,zip_derived_cl24]) ).

thf(zip_derived_cl24_009,plain,
    ! [X0: reg,X1: reg,X2: reg] :
      ( ~ ( c @ X0 @ X1 )
      | ( c @ X0 @ X2 )
      | ~ ( zip_tseitin_6 @ X1 @ X2 ) ),
    inference(cnf,[status(esa)],[zf_stmt_20]) ).

thf(zf_stmt_21,type,
    zip_tseitin_7: reg > reg > $o ).

thf(zf_stmt_22,type,
    zip_tseitin_6: reg > reg > $o ).

thf(zf_stmt_23,axiom,
    ( ! [X4: reg] :
        ( ( c @ X4 @ paris )
       => ( c @ X4 @ france ) )
    & ~ ! [X6: reg] :
          ( ( c @ X6 @ france )
         => ( c @ X6 @ paris ) )
    & ~ ? [X8: reg] :
          ( ( c @ X8 @ france )
          & ~ ? [X10: reg] : ( zip_tseitin_7 @ X10 @ X8 )
          & ( c @ X8 @ paris )
          & ~ ? [X16: reg] : ( zip_tseitin_6 @ X16 @ X8 ) ) ) ).

thf(zip_derived_cl30,plain,
    ! [X0: reg] :
      ( ( c @ X0 @ france )
      | ~ ( c @ X0 @ paris ) ),
    inference(cnf,[status(esa)],[zf_stmt_23]) ).

thf(zip_derived_cl1_010,plain,
    ! [X0: reg,X1: reg] :
      ( ( c @ X0 @ X1 )
      | ~ ( c @ X1 @ X0 ) ),
    inference(cnf,[status(esa)],[c_symmetric]) ).

thf(zip_derived_cl27,plain,
    ! [X0: reg] :
      ( ~ ( c @ X0 @ france )
      | ( zip_tseitin_7 @ ( sk__13 @ X0 ) @ X0 )
      | ~ ( c @ X0 @ paris )
      | ( zip_tseitin_6 @ ( sk__14 @ X0 ) @ X0 ) ),
    inference(cnf,[status(esa)],[zf_stmt_23]) ).

thf(zip_derived_cl30_011,plain,
    ! [X0: reg] :
      ( ( c @ X0 @ france )
      | ~ ( c @ X0 @ paris ) ),
    inference(cnf,[status(esa)],[zf_stmt_23]) ).

thf(zip_derived_cl327,plain,
    ! [X0: reg] :
      ( ( zip_tseitin_6 @ ( sk__14 @ X0 ) @ X0 )
      | ~ ( c @ X0 @ paris )
      | ( zip_tseitin_7 @ ( sk__13 @ X0 ) @ X0 ) ),
    inference(clc,[status(thm)],[zip_derived_cl27,zip_derived_cl30]) ).

thf(zip_derived_cl330,plain,
    ! [X0: reg] :
      ( ~ ( c @ paris @ X0 )
      | ( zip_tseitin_7 @ ( sk__13 @ X0 ) @ X0 )
      | ( zip_tseitin_6 @ ( sk__14 @ X0 ) @ X0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl1,zip_derived_cl327]) ).

thf(zip_derived_cl23,plain,
    ! [X0: reg,X1: reg,X2: reg] :
      ( ~ ( c @ X0 @ X1 )
      | ( c @ X0 @ paris )
      | ~ ( zip_tseitin_6 @ X1 @ X2 ) ),
    inference(cnf,[status(esa)],[zf_stmt_20]) ).

thf(zip_derived_cl18_012,plain,
    ! [X0: reg,X1: reg] :
      ( ( zip_tseitin_4 @ X0 @ X1 )
      | ( c @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[zf_stmt_18]) ).

thf(zip_derived_cl1_013,plain,
    ! [X0: reg,X1: reg] :
      ( ( c @ X0 @ X1 )
      | ~ ( c @ X1 @ X0 ) ),
    inference(cnf,[status(esa)],[c_symmetric]) ).

thf(zip_derived_cl19,plain,
    ! [X0: reg,X1: reg] :
      ( ( zip_tseitin_5 @ X0 @ X1 )
      | ~ ( c @ X0 @ france ) ),
    inference(cnf,[status(esa)],[zf_stmt_15]) ).

thf(zip_derived_cl21_014,plain,
    ! [X0: reg] :
      ( ~ ( zip_tseitin_5 @ ( sk__10 @ X0 ) @ X0 )
      | ~ ( zip_tseitin_4 @ ( sk__11 @ X0 ) @ X0 ) ),
    inference(cnf,[status(esa)],[zf_stmt_19]) ).

thf(zip_derived_cl262,plain,
    ! [X0: reg] :
      ( ~ ( c @ ( sk__10 @ X0 ) @ france )
      | ~ ( zip_tseitin_4 @ ( sk__11 @ X0 ) @ X0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl19,zip_derived_cl21]) ).

thf(zip_derived_cl18476,plain,
    $false,
    inference(eprover,[status(thm)],[zip_derived_cl25,zip_derived_cl219,zip_derived_cl26,zip_derived_cl295,zip_derived_cl94,zip_derived_cl1070,zip_derived_cl17,zip_derived_cl1069,zip_derived_cl189,zip_derived_cl24,zip_derived_cl30,zip_derived_cl330,zip_derived_cl23,zip_derived_cl18,zip_derived_cl1,zip_derived_cl262]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : GEG002^1 : TPTP v8.1.2. Released v4.1.0.
% 0.11/0.13  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.Pg8AZ7QkBC true
% 0.13/0.34  % Computer : n011.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 : Mon Aug 28 01:01:40 EDT 2023
% 0.13/0.35  % CPUTime  : 
% 0.13/0.35  % Running portfolio for 300 s
% 0.13/0.35  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.35  % Number of cores: 8
% 0.13/0.35  % Python version: Python 3.6.8
% 0.13/0.35  % Running in HO mode
% 0.21/0.67  % Total configuration time : 828
% 0.21/0.67  % Estimated wc time : 1656
% 0.21/0.67  % Estimated cpu time (8 cpus) : 207.0
% 0.21/0.74  % /export/starexec/sandbox2/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.21/0.74  % /export/starexec/sandbox2/solver/bin/lams/40_c.s.sh running for 80s
% 0.21/0.75  % /export/starexec/sandbox2/solver/bin/lams/40_c_ic.sh running for 80s
% 1.36/0.78  % /export/starexec/sandbox2/solver/bin/lams/40_noforms.sh running for 90s
% 1.36/0.78  % /export/starexec/sandbox2/solver/bin/lams/15_e_short1.sh running for 30s
% 1.36/0.78  % /export/starexec/sandbox2/solver/bin/lams/40_b.comb.sh running for 70s
% 1.41/0.80  % /export/starexec/sandbox2/solver/bin/lams/30_sp5.sh running for 60s
% 1.41/0.82  % /export/starexec/sandbox2/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 63.31/8.84  % Solved by lams/40_c_ic.sh.
% 63.31/8.84  % done 7887 iterations in 8.039s
% 63.31/8.84  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 63.31/8.84  % SZS output start Refutation
% See solution above
% 63.31/8.84  
% 63.31/8.84  
% 63.31/8.84  % Terminating...
% 64.10/8.93  % Runner terminated.
% 64.10/8.94  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------