TSTP Solution File: PHI043^1 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : PHI043^1 : TPTP v8.1.2. Released v7.5.0.
% Transfm  : NO INFORMATION
% Format   : NO INFORMATION
% Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.mraniOI9nE 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 : Thu Aug 31 12:58:56 EDT 2023

% Result   : Theorem 1.43s 1.04s
% Output   : Refutation 1.43s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   17
%            Number of leaves      :   46
% Syntax   : Number of formulae    :   90 (  37 unt;  18 typ;   0 def)
%            Number of atoms       :  273 (  36 equ;  26 cnn)
%            Maximal formula atoms :   10 (   3 avg)
%            Number of connectives :  521 (  54   ~;  19   |;  12   &; 344   @)
%                                         (  19 <=>;  21  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   16 (   5 avg)
%            Number of types       :    3 (   1 usr)
%            Number of type conns  :  155 ( 155   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   23 (  17 usr;   8 con; 0-3 aty)
%                                         (  38  !!;  14  ??;   0 @@+;   0 @@-)
%            Number of variables   :  181 ( 134   ^;  37   !;  10   ?; 181   :)

% Comments : 
%------------------------------------------------------------------------------
thf(mu_type,type,
    mu: $tType ).

thf(mdia_type,type,
    mdia: ( $i > $o ) > $i > $o ).

thf(mexists_ind_type,type,
    mexists_ind: ( mu > $i > $o ) > $i > $o ).

thf('#sk43_type',type,
    '#sk43': $i ).

thf(rel_type,type,
    rel: $i > $i > $o ).

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

thf('#sk1_type',type,
    '#sk1': $i ).

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

thf(mforall_ind_type,type,
    mforall_ind: ( mu > $i > $o ) > $i > $o ).

thf(mbox_generic_type,type,
    mbox_generic: ( $i > $i > $o ) > ( $i > $o ) > $i > $o ).

thf(mdia_generic_type,type,
    mdia_generic: ( $i > $i > $o ) > ( $i > $o ) > $i > $o ).

thf('#sk44_type',type,
    '#sk44': mu ).

thf(mequiv_type,type,
    mequiv: ( $i > $o ) > ( $i > $o ) > $i > $o ).

thf('#sk2_type',type,
    '#sk2': mu > $i > $o ).

thf(mforall_indset_type,type,
    mforall_indset: ( ( mu > $i > $o ) > $i > $o ) > $i > $o ).

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

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

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

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

thf('0',plain,
    ( mvalid
    = ( ^ [Phi: $i > $o] :
        ! [W: $i] : ( Phi @ W ) ) ),
    inference(simplify_rw_rule,[status(thm)],[mvalid]) ).

thf('1',plain,
    ( mvalid
    = ( ^ [V_1: $i > $o] :
        ! [X4: $i] : ( V_1 @ X4 ) ) ),
    define([status(thm)]) ).

thf(mdia,axiom,
    ( mdia
    = ( mdia_generic @ rel ) ) ).

thf(mdia_generic,axiom,
    ( mdia_generic
    = ( ^ [R: $i > $i > $o,Phi: $i > $o,W: $i] :
        ? [V: $i] :
          ( ( Phi @ V )
          & ( R @ W @ V ) ) ) ) ).

thf('2',plain,
    ( mdia_generic
    = ( ^ [R: $i > $i > $o,Phi: $i > $o,W: $i] :
        ? [V: $i] :
          ( ( Phi @ V )
          & ( R @ W @ V ) ) ) ),
    inference(simplify_rw_rule,[status(thm)],[mdia_generic]) ).

thf('3',plain,
    ( mdia_generic
    = ( ^ [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('4',plain,
    ( mdia
    = ( mdia_generic @ rel ) ),
    inference(simplify_rw_rule,[status(thm)],[mdia,'3']) ).

thf('5',plain,
    ( mdia
    = ( mdia_generic @ rel ) ),
    define([status(thm)]) ).

thf(mexists_ind,axiom,
    ( mexists_ind
    = ( ^ [Phi: mu > $i > $o,W: $i] :
        ? [X: mu] : ( Phi @ X @ W ) ) ) ).

thf('6',plain,
    ( mexists_ind
    = ( ^ [Phi: mu > $i > $o,W: $i] :
        ? [X: mu] : ( Phi @ X @ W ) ) ),
    inference(simplify_rw_rule,[status(thm)],[mexists_ind]) ).

thf('7',plain,
    ( mexists_ind
    = ( ^ [V_1: mu > $i > $o,V_2: $i] :
        ? [X4: mu] : ( V_1 @ X4 @ V_2 ) ) ),
    define([status(thm)]) ).

thf(mforall_indset,axiom,
    ( mforall_indset
    = ( ^ [Phi: ( mu > $i > $o ) > $i > $o,W: $i] :
        ! [X: mu > $i > $o] : ( Phi @ X @ W ) ) ) ).

thf('8',plain,
    ( mforall_indset
    = ( ^ [Phi: ( mu > $i > $o ) > $i > $o,W: $i] :
        ! [X: mu > $i > $o] : ( Phi @ X @ W ) ) ),
    inference(simplify_rw_rule,[status(thm)],[mforall_indset]) ).

thf('9',plain,
    ( mforall_indset
    = ( ^ [V_1: ( mu > $i > $o ) > $i > $o,V_2: $i] :
        ! [X4: mu > $i > $o] : ( V_1 @ X4 @ V_2 ) ) ),
    define([status(thm)]) ).

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

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

thf('11',plain,
    ( mimplies
    = ( ^ [V_1: $i > $o,V_2: $i > $o,V_3: $i] :
          ( ( V_1 @ V_3 )
         => ( V_2 @ V_3 ) ) ) ),
    define([status(thm)]) ).

thf(possible_instantiation_of_the_positive,conjecture,
    ( mvalid
    @ ( mforall_indset
      @ ^ [Phi: mu > $i > $o] :
          ( mimplies @ ( p @ Phi )
          @ ( mdia
            @ ( mexists_ind
              @ ^ [X: mu] : ( Phi @ X ) ) ) ) ) ) ).

thf(zf_stmt_0,conjecture,
    ! [X4: $i,X6: mu > $i > $o] :
      ( ( p @ X6 @ X4 )
     => ? [X8: $i] :
          ( ( rel @ X4 @ X8 )
          & ? [X10: mu] : ( X6 @ X10 @ X8 ) ) ) ).

thf(zf_stmt_1,negated_conjecture,
    ~ ! [X4: $i,X6: mu > $i > $o] :
        ( ( p @ X6 @ X4 )
       => ? [X8: $i] :
            ( ( rel @ X4 @ X8 )
            & ? [X10: mu] : ( X6 @ X10 @ X8 ) ) ),
    inference('cnf.neg',[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl2,plain,
    ~ ( !!
      @ ^ [Y0: $i] :
          ( !!
          @ ^ [Y1: mu > $i > $o] :
              ( ( p @ Y1 @ Y0 )
             => ( ??
                @ ^ [Y2: $i] :
                    ( ( rel @ Y0 @ Y2 )
                    & ( ??
                      @ ^ [Y3: mu] : ( Y1 @ Y3 @ Y2 ) ) ) ) ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_1]) ).

thf(zip_derived_cl3,plain,
    ~ ( !!
      @ ^ [Y0: mu > $i > $o] :
          ( ( p @ Y0 @ '#sk1' )
         => ( ??
            @ ^ [Y1: $i] :
                ( ( rel @ '#sk1' @ Y1 )
                & ( ??
                  @ ^ [Y2: mu] : ( Y0 @ Y2 @ Y1 ) ) ) ) ) ),
    inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl2]) ).

thf(zip_derived_cl4,plain,
    ~ ( ( p @ '#sk2' @ '#sk1' )
     => ( ??
        @ ^ [Y0: $i] :
            ( ( rel @ '#sk1' @ Y0 )
            & ( ??
              @ ^ [Y1: mu] : ( '#sk2' @ Y1 @ Y0 ) ) ) ) ),
    inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl3]) ).

thf(zip_derived_cl5,plain,
    p @ '#sk2' @ '#sk1',
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl4]) ).

thf(mbox,axiom,
    ( mbox
    = ( mbox_generic @ rel ) ) ).

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

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

thf('13',plain,
    ( mbox_generic
    = ( ^ [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('14',plain,
    ( mbox
    = ( mbox_generic @ rel ) ),
    inference(simplify_rw_rule,[status(thm)],[mbox,'13']) ).

thf('15',plain,
    ( mbox
    = ( mbox_generic @ rel ) ),
    define([status(thm)]) ).

thf(mforall_ind,axiom,
    ( mforall_ind
    = ( ^ [Phi: mu > $i > $o,W: $i] :
        ! [X: mu] : ( Phi @ X @ W ) ) ) ).

thf('16',plain,
    ( mforall_ind
    = ( ^ [Phi: mu > $i > $o,W: $i] :
        ! [X: mu] : ( Phi @ X @ W ) ) ),
    inference(simplify_rw_rule,[status(thm)],[mforall_ind]) ).

thf('17',plain,
    ( mforall_ind
    = ( ^ [V_1: mu > $i > $o,V_2: $i] :
        ! [X4: mu] : ( V_1 @ X4 @ V_2 ) ) ),
    define([status(thm)]) ).

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

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

thf('19',plain,
    ( mequiv
    = ( ^ [V_1: $i > $o,V_2: $i > $o,V_3: $i] :
          ( ( V_1 @ V_3 )
        <=> ( V_2 @ V_3 ) ) ) ),
    define([status(thm)]) ).

thf(ax17,axiom,
    ( mvalid
    @ ( mforall_indset
      @ ^ [Phi: mu > $i > $o] :
          ( mforall_indset
          @ ^ [Psi: mu > $i > $o] :
              ( mimplies
              @ ( mbox
                @ ( mforall_ind
                  @ ^ [X: mu] : ( mequiv @ ( Phi @ X ) @ ( Psi @ X ) ) ) )
              @ ( mequiv @ ( p @ Phi ) @ ( p @ Psi ) ) ) ) ) ) ).

thf(zf_stmt_2,axiom,
    ! [X4: $i,X6: mu > $i > $o,X8: mu > $i > $o] :
      ( ! [X10: $i] :
          ( ~ ( rel @ X4 @ X10 )
          | ! [X12: mu] :
              ( ( X6 @ X12 @ X10 )
            <=> ( X8 @ X12 @ X10 ) ) )
     => ( ( p @ X6 @ X4 )
      <=> ( p @ X8 @ X4 ) ) ) ).

thf(zip_derived_cl1,plain,
    ( !!
    @ ^ [Y0: $i] :
        ( !!
        @ ^ [Y1: mu > $i > $o] :
            ( !!
            @ ^ [Y2: mu > $i > $o] :
                ( ( !!
                  @ ^ [Y3: $i] :
                      ( ( (~) @ ( rel @ Y0 @ Y3 ) )
                      | ( !!
                        @ ^ [Y4: mu] :
                            ( ( Y1 @ Y4 @ Y3 )
                          <=> ( Y2 @ Y4 @ Y3 ) ) ) ) )
               => ( ( p @ Y1 @ Y0 )
                <=> ( p @ Y2 @ Y0 ) ) ) ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_2]) ).

thf(zip_derived_cl11,plain,
    ! [X2: $i] :
      ( !!
      @ ^ [Y0: mu > $i > $o] :
          ( !!
          @ ^ [Y1: mu > $i > $o] :
              ( ( !!
                @ ^ [Y2: $i] :
                    ( ( (~) @ ( rel @ X2 @ Y2 ) )
                    | ( !!
                      @ ^ [Y3: mu] :
                          ( ( Y0 @ Y3 @ Y2 )
                        <=> ( Y1 @ Y3 @ Y2 ) ) ) ) )
             => ( ( p @ Y0 @ X2 )
              <=> ( p @ Y1 @ X2 ) ) ) ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl1]) ).

thf(zip_derived_cl15,plain,
    ! [X2: $i,X4: mu > $i > $o] :
      ( !!
      @ ^ [Y0: mu > $i > $o] :
          ( ( !!
            @ ^ [Y1: $i] :
                ( ( (~) @ ( rel @ X2 @ Y1 ) )
                | ( !!
                  @ ^ [Y2: mu] :
                      ( ( X4 @ Y2 @ Y1 )
                    <=> ( Y0 @ Y2 @ Y1 ) ) ) ) )
         => ( ( p @ X4 @ X2 )
          <=> ( p @ Y0 @ X2 ) ) ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl11]) ).

thf(zip_derived_cl16,plain,
    ! [X0: $i] :
      ( !!
      @ ^ [Y0: mu > $i > $o] :
          ( ( !!
            @ ^ [Y1: $i] :
                ( ( (~) @ ( rel @ X0 @ Y1 ) )
                | ( !!
                  @ ^ [Y2: mu] :
                      ( ( '#sk2' @ Y2 @ Y1 )
                    <=> ( Y0 @ Y2 @ Y1 ) ) ) ) )
         => ( ( p @ '#sk2' @ X0 )
          <=> ( p @ Y0 @ X0 ) ) ) ),
    inference(triggered_bool_instantiation,[status(thm)],[zip_derived_cl15]) ).

thf(zip_derived_cl20,plain,
    ! [X0: $i,X2: mu > $i > $o] :
      ( ( !!
        @ ^ [Y0: $i] :
            ( ( (~) @ ( rel @ X0 @ Y0 ) )
            | ( !!
              @ ^ [Y1: mu] :
                  ( ( '#sk2' @ Y1 @ Y0 )
                <=> ( X2 @ Y1 @ Y0 ) ) ) ) )
     => ( ( p @ '#sk2' @ X0 )
      <=> ( p @ X2 @ X0 ) ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl16]) ).

thf(zip_derived_cl23,plain,
    ! [X0: $i] :
      ( ( !!
        @ ^ [Y0: $i] :
            ( ( (~) @ ( rel @ X0 @ Y0 ) )
            | ( !!
              @ ^ [Y1: mu] :
                  ( ( '#sk2' @ Y1 @ Y0 )
                <=> $false ) ) ) )
     => ( ( p @ '#sk2' @ X0 )
      <=> ( p
          @ ^ [Y0: mu,Y1: $i] : $false
          @ X0 ) ) ),
    inference('ho.refine.early.bird',[status(thm)],[zip_derived_cl20]) ).

thf(zip_derived_cl30,plain,
    ! [X0: $i] :
      ( ( !!
        @ ^ [Y0: $i] :
            ( ( (~) @ ( rel @ X0 @ Y0 ) )
            | ( !!
              @ ^ [Y1: mu] : ( (~) @ ( '#sk2' @ Y1 @ Y0 ) ) ) ) )
     => ( ( p @ '#sk2' @ X0 )
      <=> ( p
          @ ^ [Y0: mu,Y1: $i] : $false
          @ X0 ) ) ),
    inference('simplify boolean subterms',[status(thm)],[zip_derived_cl23]) ).

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

thf('20',plain,
    ( mnot
    = ( ^ [Phi: $i > $o,W: $i] :
          ~ ( Phi @ W ) ) ),
    inference(simplify_rw_rule,[status(thm)],[mnot]) ).

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

thf(ax16,axiom,
    ( mvalid
    @ ( mnot
      @ ( p
        @ ^ [X: mu,W: $i] : ( X != X ) ) ) ) ).

thf(zf_stmt_3,axiom,
    ! [X4: $i] :
      ~ ( p
        @ ^ [V_1: mu,V_2: $i] : ( V_1 != V_1 )
        @ X4 ) ).

thf(zip_derived_cl0,plain,
    ( !!
    @ ^ [Y0: $i] :
        ( (~)
        @ ( p
          @ ^ [Y1: mu,Y2: $i] : ( Y1 != Y1 )
          @ Y0 ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_3]) ).

thf(zip_derived_cl9,plain,
    ( !!
    @ ^ [Y0: $i] :
        ( (~)
        @ ( p
          @ ^ [Y1: mu,Y2: $i] : $false
          @ Y0 ) ) ),
    inference('simplify boolean subterms',[status(thm)],[zip_derived_cl0]) ).

thf(zip_derived_cl10,plain,
    ! [X2: $i] :
      ~ ( p
        @ ^ [Y0: mu,Y1: $i] : $false
        @ X2 ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl9]) ).

thf(zip_derived_cl31,plain,
    ! [X0: $i] :
      ( ( !!
        @ ^ [Y0: $i] :
            ( ( (~) @ ( rel @ X0 @ Y0 ) )
            | ( !!
              @ ^ [Y1: mu] : ( (~) @ ( '#sk2' @ Y1 @ Y0 ) ) ) ) )
     => ( ( p @ '#sk2' @ X0 )
      <=> $false ) ),
    inference(demod,[status(thm)],[zip_derived_cl30,zip_derived_cl10]) ).

thf(zip_derived_cl32,plain,
    ! [X0: $i] :
      ( ( !!
        @ ^ [Y0: $i] :
            ( ( (~) @ ( rel @ X0 @ Y0 ) )
            | ( !!
              @ ^ [Y1: mu] : ( (~) @ ( '#sk2' @ Y1 @ Y0 ) ) ) ) )
     => ( (~) @ ( p @ '#sk2' @ X0 ) ) ),
    inference('simplify boolean subterms',[status(thm)],[zip_derived_cl31]) ).

thf(zip_derived_cl33,plain,
    ( ( !!
      @ ^ [Y0: $i] :
          ( ( (~) @ ( rel @ '#sk1' @ Y0 ) )
          | ( !!
            @ ^ [Y1: mu] : ( (~) @ ( '#sk2' @ Y1 @ Y0 ) ) ) ) )
   => ( (~) @ $true ) ),
    inference('sup+',[status(thm)],[zip_derived_cl5,zip_derived_cl32]) ).

thf(zip_derived_cl36,plain,
    ( (~)
    @ ( !!
      @ ^ [Y0: $i] :
          ( ( (~) @ ( rel @ '#sk1' @ Y0 ) )
          | ( !!
            @ ^ [Y1: mu] : ( (~) @ ( '#sk2' @ Y1 @ Y0 ) ) ) ) ) ),
    inference('simplify boolean subterms',[status(thm)],[zip_derived_cl33]) ).

thf(zip_derived_cl37,plain,
    ~ ( !!
      @ ^ [Y0: $i] :
          ( ( (~) @ ( rel @ '#sk1' @ Y0 ) )
          | ( !!
            @ ^ [Y1: mu] : ( (~) @ ( '#sk2' @ Y1 @ Y0 ) ) ) ) ),
    inference('simplify nested equalities',[status(thm)],[zip_derived_cl36]) ).

thf(zip_derived_cl40,plain,
    ~ ( ( (~) @ ( rel @ '#sk1' @ '#sk43' ) )
      | ( !!
        @ ^ [Y0: mu] : ( (~) @ ( '#sk2' @ Y0 @ '#sk43' ) ) ) ),
    inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl37]) ).

thf(zip_derived_cl42,plain,
    ~ ( !!
      @ ^ [Y0: mu] : ( (~) @ ( '#sk2' @ Y0 @ '#sk43' ) ) ),
    inference(lazy_cnf_or,[status(thm)],[zip_derived_cl40]) ).

thf(zip_derived_cl43,plain,
    '#sk2' @ '#sk44' @ '#sk43',
    inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl42]) ).

thf(zip_derived_cl4_001,plain,
    ~ ( ( p @ '#sk2' @ '#sk1' )
     => ( ??
        @ ^ [Y0: $i] :
            ( ( rel @ '#sk1' @ Y0 )
            & ( ??
              @ ^ [Y1: mu] : ( '#sk2' @ Y1 @ Y0 ) ) ) ) ),
    inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl3]) ).

thf(zip_derived_cl5_002,plain,
    p @ '#sk2' @ '#sk1',
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl4]) ).

thf(zip_derived_cl7,plain,
    ~ ( $true
     => ( ??
        @ ^ [Y0: $i] :
            ( ( rel @ '#sk1' @ Y0 )
            & ( ??
              @ ^ [Y1: mu] : ( '#sk2' @ Y1 @ Y0 ) ) ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl4,zip_derived_cl5]) ).

thf(zip_derived_cl8,plain,
    ~ ( ??
      @ ^ [Y0: $i] :
          ( ( rel @ '#sk1' @ Y0 )
          & ( ??
            @ ^ [Y1: mu] : ( '#sk2' @ Y1 @ Y0 ) ) ) ),
    inference('simplify boolean subterms',[status(thm)],[zip_derived_cl7]) ).

thf(zip_derived_cl12,plain,
    ! [X2: $i] :
      ~ ( ( rel @ '#sk1' @ X2 )
        & ( ??
          @ ^ [Y0: mu] : ( '#sk2' @ Y0 @ X2 ) ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl8]) ).

thf(zip_derived_cl13,plain,
    ! [X2: $i] :
      ( ~ ( rel @ '#sk1' @ X2 )
      | ~ ( ??
          @ ^ [Y0: mu] : ( '#sk2' @ Y0 @ X2 ) ) ),
    inference(lazy_cnf_and,[status(thm)],[zip_derived_cl12]) ).

thf(zip_derived_cl14,plain,
    ! [X2: $i,X4: mu] :
      ( ~ ( '#sk2' @ X4 @ X2 )
      | ~ ( rel @ '#sk1' @ X2 ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl13]) ).

thf(zip_derived_cl58,plain,
    ~ ( rel @ '#sk1' @ '#sk43' ),
    inference('sup-',[status(thm)],[zip_derived_cl43,zip_derived_cl14]) ).

thf(zip_derived_cl41,plain,
    rel @ '#sk1' @ '#sk43',
    inference(lazy_cnf_or,[status(thm)],[zip_derived_cl40]) ).

thf(zip_derived_cl60,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl58,zip_derived_cl41]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.14  % Problem  : PHI043^1 : TPTP v8.1.2. Released v7.5.0.
% 0.08/0.15  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.mraniOI9nE true
% 0.16/0.37  % Computer : n011.cluster.edu
% 0.16/0.37  % Model    : x86_64 x86_64
% 0.16/0.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.37  % Memory   : 8042.1875MB
% 0.16/0.37  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.16/0.37  % CPULimit : 300
% 0.16/0.37  % WCLimit  : 300
% 0.16/0.37  % DateTime : Sun Aug 27 09:00:24 EDT 2023
% 0.16/0.37  % CPUTime  : 
% 0.16/0.37  % Running portfolio for 300 s
% 0.16/0.37  % File         : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.16/0.37  % Number of cores: 8
% 0.16/0.37  % Python version: Python 3.6.8
% 0.16/0.37  % Running in HO mode
% 0.23/0.68  % Total configuration time : 828
% 0.23/0.68  % Estimated wc time : 1656
% 0.23/0.68  % Estimated cpu time (8 cpus) : 207.0
% 1.19/0.77  % /export/starexec/sandbox/solver/bin/lams/40_c.s.sh running for 80s
% 1.19/0.78  % /export/starexec/sandbox/solver/bin/lams/35_full_unif4.sh running for 80s
% 1.19/0.78  % /export/starexec/sandbox/solver/bin/lams/40_c_ic.sh running for 80s
% 1.19/0.78  % /export/starexec/sandbox/solver/bin/lams/15_e_short1.sh running for 30s
% 1.19/0.78  % /export/starexec/sandbox/solver/bin/lams/40_b.comb.sh running for 70s
% 1.19/0.80  % /export/starexec/sandbox/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 1.19/0.81  % /export/starexec/sandbox/solver/bin/lams/40_noforms.sh running for 90s
% 1.28/0.85  % /export/starexec/sandbox/solver/bin/lams/30_sp5.sh running for 60s
% 1.28/0.85  % /export/starexec/sandbox/solver/bin/lams/30_b.l.sh running for 90s
% 1.36/0.92  % /export/starexec/sandbox/solver/bin/lams/35_full_unif.sh running for 56s
% 1.43/1.04  % Solved by lams/35_full_unif.sh.
% 1.43/1.04  % done 23 iterations in 0.062s
% 1.43/1.04  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 1.43/1.04  % SZS output start Refutation
% See solution above
% 1.43/1.05  
% 1.43/1.05  
% 1.43/1.05  % Terminating...
% 3.77/1.42  % Runner terminated.
% 3.77/1.43  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------