TSTP Solution File: GEG014^1 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : GEG014^1 : TPTP v8.1.2. Released v4.1.0.
% Transfm  : NO INFORMATION
% Format   : NO INFORMATION
% Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.CyZyB1WnKL true

% Computer : n005.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 22:42:15 EDT 2023

% Result   : Theorem 34.79s 5.09s
% Output   : Refutation 34.79s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :   59
% Syntax   : Number of formulae    :   81 (  42 unt;  21 typ;   0 def)
%            Number of atoms       :  335 (  39 equ;  15 cnn)
%            Maximal formula atoms :   31 (   5 avg)
%            Number of connectives :  702 (  50   ~;  19   |;  73   &; 464   @)
%                                         (   0 <=>;  51  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   22 (   5 avg)
%            Number of types       :    3 (   1 usr)
%            Number of type conns  :   88 (  88   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   25 (  20 usr;   8 con; 0-3 aty)
%                                         (  34  !!;  11  ??;   0 @@+;   0 @@-)
%            Number of variables   :  211 ( 131   ^;  54   !;  26   ?; 211   :)

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

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

thf(paris_type,type,
    paris: reg ).

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

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

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

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

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

thf(france_type,type,
    france: reg ).

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

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

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

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

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

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

thf(catalunya_type,type,
    catalunya: reg ).

thf(spain_type,type,
    spain: reg ).

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

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

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

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

thf(tpp,axiom,
    ( tpp
    = ( ^ [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,
    ( 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('7',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(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(mvalid,axiom,
    ( mvalid
    = ( ^ [Phi: $i > $o] :
        ! [W: $i] : ( Phi @ W ) ) ) ).

thf('10',plain,
    ( mvalid
    = ( ^ [Phi: $i > $o] :
        ! [W: $i] : ( Phi @ W ) ) ),
    inference(simplify_rw_rule,[status(thm)],[mvalid]) ).

thf('11',plain,
    ( mvalid
    = ( ^ [V_1: $i > $o] :
        ! [X4: $i] : ( V_1 @ X4 ) ) ),
    define([status(thm)]) ).

thf(mbox,axiom,
    ( mbox
    = ( ^ [R: $i > $i > $o,Phi: $i > $o,W: $i] :
        ! [V: $i] :
          ( ( Phi @ V )
          | ~ ( R @ W @ V ) ) ) ) ).

thf('12',plain,
    ( mbox
    = ( ^ [R: $i > $i > $o,Phi: $i > $o,W: $i] :
        ! [V: $i] :
          ( ( Phi @ V )
          | ~ ( R @ W @ V ) ) ) ),
    inference(simplify_rw_rule,[status(thm)],[mbox]) ).

thf('13',plain,
    ( mbox
    = ( ^ [V_1: $i > $i > $o,V_2: $i > $o,V_3: $i] :
        ! [X4: $i] :
          ( ( V_2 @ X4 )
          | ~ ( V_1 @ V_3 @ X4 ) ) ) ),
    define([status(thm)]) ).

thf(ax1,axiom,
    ( mvalid
    @ ( mbox @ a
      @ ^ [X: $i] : ( tpp @ catalunya @ spain ) ) ) ).

thf(zf_stmt_0,axiom,
    ! [X4: $i,X6: $i] :
      ( ~ ( a @ X4 @ X6 )
      | ( ? [X12: reg] :
            ( ~ ? [X20: reg] :
                  ( ! [X24: reg] :
                      ( ( c @ X24 @ X20 )
                     => ( c @ X24 @ X12 ) )
                  & ! [X22: reg] :
                      ( ( c @ X22 @ X20 )
                     => ( c @ X22 @ catalunya ) ) )
            & ( c @ X12 @ catalunya )
            & ~ ? [X14: reg] :
                  ( ! [X18: reg] :
                      ( ( c @ X18 @ X14 )
                     => ( c @ X18 @ X12 ) )
                  & ! [X16: reg] :
                      ( ( c @ X16 @ X14 )
                     => ( c @ X16 @ spain ) ) )
            & ( c @ X12 @ spain ) )
        & ~ ! [X10: reg] :
              ( ( c @ X10 @ spain )
             => ( c @ X10 @ catalunya ) )
        & ! [X8: reg] :
            ( ( c @ X8 @ catalunya )
           => ( c @ X8 @ spain ) ) ) ) ).

thf(zip_derived_cl5,plain,
    ( !!
    @ ^ [Y0: $i] :
        ( !!
        @ ^ [Y1: $i] :
            ( ( (~) @ ( a @ Y0 @ Y1 ) )
            | ( ( ??
                @ ^ [Y2: reg] :
                    ( ( (~)
                      @ ( ??
                        @ ^ [Y3: reg] :
                            ( ( !!
                              @ ^ [Y4: reg] :
                                  ( ( c @ Y4 @ Y3 )
                                 => ( c @ Y4 @ Y2 ) ) )
                            & ( !!
                              @ ^ [Y4: reg] :
                                  ( ( c @ Y4 @ Y3 )
                                 => ( c @ Y4 @ catalunya ) ) ) ) ) )
                    & ( c @ Y2 @ catalunya )
                    & ( (~)
                      @ ( ??
                        @ ^ [Y3: reg] :
                            ( ( !!
                              @ ^ [Y4: reg] :
                                  ( ( c @ Y4 @ Y3 )
                                 => ( c @ Y4 @ Y2 ) ) )
                            & ( !!
                              @ ^ [Y4: reg] :
                                  ( ( c @ Y4 @ Y3 )
                                 => ( c @ Y4 @ spain ) ) ) ) ) )
                    & ( c @ Y2 @ spain ) ) )
              & ( (~)
                @ ( !!
                  @ ^ [Y2: reg] :
                      ( ( c @ Y2 @ spain )
                     => ( c @ Y2 @ catalunya ) ) ) )
              & ( !!
                @ ^ [Y2: reg] :
                    ( ( c @ Y2 @ catalunya )
                   => ( c @ Y2 @ spain ) ) ) ) ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(mforall_prop,axiom,
    ( mforall_prop
    = ( ^ [Phi: ( $i > $o ) > $i > $o,W: $i] :
        ! [P: $i > $o] : ( Phi @ P @ W ) ) ) ).

thf('14',plain,
    ( mforall_prop
    = ( ^ [Phi: ( $i > $o ) > $i > $o,W: $i] :
        ! [P: $i > $o] : ( Phi @ P @ W ) ) ),
    inference(simplify_rw_rule,[status(thm)],[mforall_prop]) ).

thf('15',plain,
    ( mforall_prop
    = ( ^ [V_1: ( $i > $o ) > $i > $o,V_2: $i] :
        ! [X4: $i > $o] : ( V_1 @ X4 @ V_2 ) ) ),
    define([status(thm)]) ).

thf(mimplies,axiom,
    ( mimplies
    = ( ^ [Phi: $i > $o,Psi: $i > $o] : ( mor @ ( mnot @ Phi ) @ Psi ) ) ) ).

thf(mor,axiom,
    ( mor
    = ( ^ [Phi: $i > $o,Psi: $i > $o,W: $i] :
          ( ( Phi @ W )
          | ( Psi @ W ) ) ) ) ).

thf('16',plain,
    ( mor
    = ( ^ [Phi: $i > $o,Psi: $i > $o,W: $i] :
          ( ( Phi @ W )
          | ( Psi @ W ) ) ) ),
    inference(simplify_rw_rule,[status(thm)],[mor]) ).

thf('17',plain,
    ( mor
    = ( ^ [V_1: $i > $o,V_2: $i > $o,V_3: $i] :
          ( ( V_1 @ V_3 )
          | ( V_2 @ V_3 ) ) ) ),
    define([status(thm)]) ).

thf(mnot,axiom,
    ( mnot
    = ( ^ [Phi: $i > $o,W: $i] :
          ~ ( Phi @ W ) ) ) ).

thf('18',plain,
    ( mnot
    = ( ^ [Phi: $i > $o,W: $i] :
          ~ ( Phi @ W ) ) ),
    inference(simplify_rw_rule,[status(thm)],[mnot]) ).

thf('19',plain,
    ( mnot
    = ( ^ [V_1: $i > $o,V_2: $i] :
          ~ ( V_1 @ V_2 ) ) ),
    define([status(thm)]) ).

thf('20',plain,
    ( mimplies
    = ( ^ [Phi: $i > $o,Psi: $i > $o] : ( mor @ ( mnot @ Phi ) @ Psi ) ) ),
    inference(simplify_rw_rule,[status(thm)],[mimplies,'17','19']) ).

thf('21',plain,
    ( mimplies
    = ( ^ [V_1: $i > $o,V_2: $i > $o] : ( mor @ ( mnot @ V_1 ) @ V_2 ) ) ),
    define([status(thm)]) ).

thf(t_axiom_for_fool,axiom,
    ( mvalid
    @ ( mforall_prop
      @ ^ [A: $i > $o] : ( mimplies @ ( mbox @ fool @ A ) @ A ) ) ) ).

thf(zf_stmt_1,axiom,
    ! [X4: $i,X6: $i > $o] :
      ( ( X6 @ X4 )
      | ~ ! [X8: $i] :
            ( ~ ( fool @ X4 @ X8 )
            | ( X6 @ X8 ) ) ) ).

thf(zip_derived_cl2,plain,
    ( !!
    @ ^ [Y0: $i] :
        ( !!
        @ ^ [Y1: $i > $o] :
            ( ( Y1 @ Y0 )
            | ( (~)
              @ ( !!
                @ ^ [Y2: $i] :
                    ( ( (~) @ ( fool @ Y0 @ Y2 ) )
                    | ( Y1 @ Y2 ) ) ) ) ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_1]) ).

thf(ax2,axiom,
    ( mvalid
    @ ( mbox @ fool
      @ ^ [X: $i] : ( ec @ spain @ france ) ) ) ).

thf(zf_stmt_2,axiom,
    ! [X4: $i,X6: $i] :
      ( ~ ( fool @ X4 @ X6 )
      | ( ~ ? [X8: reg] :
              ( ! [X12: reg] :
                  ( ( c @ X12 @ X8 )
                 => ( c @ X12 @ spain ) )
              & ! [X10: reg] :
                  ( ( c @ X10 @ X8 )
                 => ( c @ X10 @ france ) ) )
        & ( c @ spain @ france ) ) ) ).

thf(zip_derived_cl6,plain,
    ( !!
    @ ^ [Y0: $i] :
        ( !!
        @ ^ [Y1: $i] :
            ( ( (~) @ ( fool @ Y0 @ Y1 ) )
            | ( ( (~)
                @ ( ??
                  @ ^ [Y2: reg] :
                      ( ( !!
                        @ ^ [Y3: reg] :
                            ( ( c @ Y3 @ Y2 )
                           => ( c @ Y3 @ spain ) ) )
                      & ( !!
                        @ ^ [Y3: reg] :
                            ( ( c @ Y3 @ Y2 )
                           => ( c @ Y3 @ france ) ) ) ) ) )
              & ( c @ spain @ france ) ) ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_2]) ).

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

thf(zip_derived_cl1,plain,
    ( !!
    @ ^ [Y0: reg] :
        ( !!
        @ ^ [Y1: reg] :
            ( ( c @ Y0 @ Y1 )
           => ( c @ Y1 @ Y0 ) ) ) ),
    inference(cnf,[status(esa)],[c_symmetric]) ).

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

thf('22',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('23',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(ax3,axiom,
    ( mvalid
    @ ( mbox @ a
      @ ^ [X: $i] : ( ntpp @ paris @ france ) ) ) ).

thf(zf_stmt_3,axiom,
    ! [X4: $i,X6: $i] :
      ( ~ ( a @ X4 @ X6 )
      | ( ~ ? [X12: reg] :
              ( ~ ? [X20: reg] :
                    ( ! [X24: reg] :
                        ( ( c @ X24 @ X20 )
                       => ( c @ X24 @ X12 ) )
                    & ! [X22: reg] :
                        ( ( c @ X22 @ X20 )
                       => ( c @ X22 @ paris ) ) )
              & ( c @ X12 @ paris )
              & ~ ? [X14: reg] :
                    ( ! [X18: reg] :
                        ( ( c @ X18 @ X14 )
                       => ( c @ X18 @ X12 ) )
                    & ! [X16: reg] :
                        ( ( c @ X16 @ X14 )
                       => ( c @ X16 @ france ) ) )
              & ( c @ X12 @ france ) )
        & ~ ! [X10: reg] :
              ( ( c @ X10 @ france )
             => ( c @ X10 @ paris ) )
        & ! [X8: reg] :
            ( ( c @ X8 @ paris )
           => ( c @ X8 @ france ) ) ) ) ).

thf(zip_derived_cl7,plain,
    ( !!
    @ ^ [Y0: $i] :
        ( !!
        @ ^ [Y1: $i] :
            ( ( (~) @ ( a @ Y0 @ Y1 ) )
            | ( ( (~)
                @ ( ??
                  @ ^ [Y2: reg] :
                      ( ( (~)
                        @ ( ??
                          @ ^ [Y3: reg] :
                              ( ( !!
                                @ ^ [Y4: reg] :
                                    ( ( c @ Y4 @ Y3 )
                                   => ( c @ Y4 @ Y2 ) ) )
                              & ( !!
                                @ ^ [Y4: reg] :
                                    ( ( c @ Y4 @ Y3 )
                                   => ( c @ Y4 @ paris ) ) ) ) ) )
                      & ( c @ Y2 @ paris )
                      & ( (~)
                        @ ( ??
                          @ ^ [Y3: reg] :
                              ( ( !!
                                @ ^ [Y4: reg] :
                                    ( ( c @ Y4 @ Y3 )
                                   => ( c @ Y4 @ Y2 ) ) )
                              & ( !!
                                @ ^ [Y4: reg] :
                                    ( ( c @ Y4 @ Y3 )
                                   => ( c @ Y4 @ france ) ) ) ) ) )
                      & ( c @ Y2 @ france ) ) ) )
              & ( (~)
                @ ( !!
                  @ ^ [Y2: reg] :
                      ( ( c @ Y2 @ france )
                     => ( c @ Y2 @ paris ) ) ) )
              & ( !!
                @ ^ [Y2: reg] :
                    ( ( c @ Y2 @ paris )
                   => ( c @ Y2 @ france ) ) ) ) ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_3]) ).

thf(c_reflexive,axiom,
    ! [X: reg] : ( c @ X @ X ) ).

thf(zip_derived_cl0,plain,
    ( !!
    @ ^ [Y0: reg] : ( c @ Y0 @ Y0 ) ),
    inference(cnf,[status(esa)],[c_reflexive]) ).

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

thf('24',plain,
    ( eq
    = ( ^ [X: reg,Y: reg] :
          ( ( p @ X @ Y )
          & ( p @ Y @ X ) ) ) ),
    inference(simplify_rw_rule,[status(thm)],[eq,'1']) ).

thf('25',plain,
    ( eq
    = ( ^ [V_1: reg,V_2: reg] :
          ( ( p @ V_1 @ V_2 )
          & ( p @ V_2 @ V_1 ) ) ) ),
    define([status(thm)]) ).

thf(con,conjecture,
    ( mvalid
    @ ( mbox @ a
      @ ^ [X: $i] :
        ? [Z: reg,Y: reg] :
          ( ( o @ Z @ france )
          & ( o @ Z @ france )
          & ~ ( eq @ Z @ Y ) ) ) ) ).

thf(zf_stmt_4,conjecture,
    ! [X4: $i,X6: $i] :
      ( ~ ( a @ X4 @ X6 )
      | ? [X8: reg,X10: reg] :
          ( ~ ( ! [X26: reg] :
                  ( ( c @ X26 @ X10 )
                 => ( c @ X26 @ X8 ) )
              & ! [X24: reg] :
                  ( ( c @ X24 @ X8 )
                 => ( c @ X24 @ X10 ) ) )
          & ? [X18: reg] :
              ( ! [X22: reg] :
                  ( ( c @ X22 @ X18 )
                 => ( c @ X22 @ X8 ) )
              & ! [X20: reg] :
                  ( ( c @ X20 @ X18 )
                 => ( c @ X20 @ france ) ) )
          & ? [X12: reg] :
              ( ! [X16: reg] :
                  ( ( c @ X16 @ X12 )
                 => ( c @ X16 @ X8 ) )
              & ! [X14: reg] :
                  ( ( c @ X14 @ X12 )
                 => ( c @ X14 @ france ) ) ) ) ) ).

thf(zf_stmt_5,negated_conjecture,
    ~ ! [X4: $i,X6: $i] :
        ( ~ ( a @ X4 @ X6 )
        | ? [X8: reg,X10: reg] :
            ( ~ ( ! [X26: reg] :
                    ( ( c @ X26 @ X10 )
                   => ( c @ X26 @ X8 ) )
                & ! [X24: reg] :
                    ( ( c @ X24 @ X8 )
                   => ( c @ X24 @ X10 ) ) )
            & ? [X18: reg] :
                ( ! [X22: reg] :
                    ( ( c @ X22 @ X18 )
                   => ( c @ X22 @ X8 ) )
                & ! [X20: reg] :
                    ( ( c @ X20 @ X18 )
                   => ( c @ X20 @ france ) ) )
            & ? [X12: reg] :
                ( ! [X16: reg] :
                    ( ( c @ X16 @ X12 )
                   => ( c @ X16 @ X8 ) )
                & ! [X14: reg] :
                    ( ( c @ X14 @ X12 )
                   => ( c @ X14 @ france ) ) ) ) ),
    inference('cnf.neg',[status(esa)],[zf_stmt_4]) ).

thf(zip_derived_cl8,plain,
    ~ ( !!
      @ ^ [Y0: $i] :
          ( !!
          @ ^ [Y1: $i] :
              ( ( (~) @ ( a @ Y0 @ Y1 ) )
              | ( ??
                @ ^ [Y2: reg] :
                    ( ??
                    @ ^ [Y3: reg] :
                        ( ( (~)
                          @ ( ( !!
                              @ ^ [Y4: reg] :
                                  ( ( c @ Y4 @ Y3 )
                                 => ( c @ Y4 @ Y2 ) ) )
                            & ( !!
                              @ ^ [Y4: reg] :
                                  ( ( c @ Y4 @ Y2 )
                                 => ( c @ Y4 @ Y3 ) ) ) ) )
                        & ( ??
                          @ ^ [Y4: reg] :
                              ( ( !!
                                @ ^ [Y5: reg] :
                                    ( ( c @ Y5 @ Y4 )
                                   => ( c @ Y5 @ Y2 ) ) )
                              & ( !!
                                @ ^ [Y5: reg] :
                                    ( ( c @ Y5 @ Y4 )
                                   => ( c @ Y5 @ france ) ) ) ) )
                        & ( ??
                          @ ^ [Y4: reg] :
                              ( ( !!
                                @ ^ [Y5: reg] :
                                    ( ( c @ Y5 @ Y4 )
                                   => ( c @ Y5 @ Y2 ) ) )
                              & ( !!
                                @ ^ [Y5: reg] :
                                    ( ( c @ Y5 @ Y4 )
                                   => ( c @ Y5 @ france ) ) ) ) ) ) ) ) ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_5]) ).

thf(zip_derived_cl3625,plain,
    $false,
    inference(eprover,[status(thm)],[zip_derived_cl5,zip_derived_cl2,zip_derived_cl6,zip_derived_cl1,zip_derived_cl7,zip_derived_cl0,zip_derived_cl8]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13  % Problem  : GEG014^1 : TPTP v8.1.2. Released v4.1.0.
% 0.08/0.14  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.CyZyB1WnKL true
% 0.14/0.35  % Computer : n005.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit : 300
% 0.14/0.35  % WCLimit  : 300
% 0.14/0.35  % DateTime : Mon Aug 28 00:59:38 EDT 2023
% 0.14/0.36  % CPUTime  : 
% 0.14/0.36  % Running portfolio for 300 s
% 0.14/0.36  % File         : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/0.36  % Number of cores: 8
% 0.14/0.36  % Python version: Python 3.6.8
% 0.14/0.36  % Running in HO mode
% 0.21/0.66  % Total configuration time : 828
% 0.21/0.66  % Estimated wc time : 1656
% 0.21/0.66  % Estimated cpu time (8 cpus) : 207.0
% 0.88/0.76  % /export/starexec/sandbox/solver/bin/lams/40_c.s.sh running for 80s
% 0.88/0.79  % /export/starexec/sandbox/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.88/0.79  % /export/starexec/sandbox/solver/bin/lams/40_c_ic.sh running for 80s
% 0.88/0.80  % /export/starexec/sandbox/solver/bin/lams/15_e_short1.sh running for 30s
% 0.88/0.80  % /export/starexec/sandbox/solver/bin/lams/40_noforms.sh running for 90s
% 0.88/0.80  % /export/starexec/sandbox/solver/bin/lams/40_b.comb.sh running for 70s
% 0.88/0.80  % /export/starexec/sandbox/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 0.99/0.81  % /export/starexec/sandbox/solver/bin/lams/30_sp5.sh running for 60s
% 0.99/0.84  % /export/starexec/sandbox/solver/bin/lams/30_b.l.sh running for 90s
% 1.00/0.91  % /export/starexec/sandbox/solver/bin/lams/35_full_unif.sh running for 56s
% 34.79/5.09  % Solved by lams/15_e_short1.sh.
% 34.79/5.09  % done 169 iterations in 4.243s
% 34.79/5.09  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 34.79/5.09  % SZS output start Refutation
% See solution above
% 34.79/5.09  
% 34.79/5.09  
% 34.79/5.09  % Terminating...
% 34.96/5.20  % Runner terminated.
% 34.96/5.21  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------