TSTP Solution File: SYN041^4 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SYN041^4 : TPTP v8.1.2. Released v4.0.0.
% Transfm  : NO INFORMATION
% Format   : NO INFORMATION
% Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.575MNqPhfo true

% Computer : n031.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 : Fri Sep  1 04:01:16 EDT 2023

% Result   : Theorem 1.38s 0.79s
% Output   : Refutation 1.38s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   16
%            Number of leaves      :   34
% Syntax   : Number of formulae    :   75 (  27 unt;  15 typ;   0 def)
%            Number of atoms       :  288 (  24 equ;  18 cnn)
%            Maximal formula atoms :   23 (   4 avg)
%            Number of connectives :  600 (  62   ~;  42   |;   6   &; 382   @)
%                                         (   0 <=>;  64  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   20 (   6 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   68 (  68   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   19 (  15 usr;   5 con; 0-3 aty)
%                                         (  44  !!;   0  ??;   0 @@+;   0 @@-)
%            Number of variables   :  139 (  86   ^;  53   !;   0   ?; 139   :)

% Comments : 
%------------------------------------------------------------------------------
thf(iatom_type,type,
    iatom: ( $i > $o ) > $i > $o ).

thf(ivalid_type,type,
    ivalid: ( $i > $o ) > $o ).

thf(q_type,type,
    q: $i > $o ).

thf(irel_type,type,
    irel: $i > $i > $o ).

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

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

thf(mbox_s4_type,type,
    mbox_s4: ( $i > $o ) > $i > $o ).

thf(iimplies_type,type,
    iimplies: ( $i > $o ) > ( $i > $o ) > $i > $o ).

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

thf('#sk5_type',type,
    '#sk5': $i > $i ).

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

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

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

thf('#sk3_type',type,
    '#sk3': $i > $i ).

thf(inot_type,type,
    inot: ( $i > $o ) > $i > $o ).

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

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

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

thf(iimplies,axiom,
    ( iimplies
    = ( ^ [P: $i > $o,Q: $i > $o] : ( mimplies @ ( mbox_s4 @ P ) @ ( mbox_s4 @ Q ) ) ) ) ).

thf(mbox_s4,axiom,
    ( mbox_s4
    = ( ^ [P: $i > $o,X: $i] :
        ! [Y: $i] :
          ( ( irel @ X @ Y )
         => ( P @ Y ) ) ) ) ).

thf('2',plain,
    ( mbox_s4
    = ( ^ [P: $i > $o,X: $i] :
        ! [Y: $i] :
          ( ( irel @ X @ Y )
         => ( P @ Y ) ) ) ),
    inference(simplify_rw_rule,[status(thm)],[mbox_s4]) ).

thf('3',plain,
    ( mbox_s4
    = ( ^ [V_1: $i > $o,V_2: $i] :
        ! [X4: $i] :
          ( ( irel @ V_2 @ X4 )
         => ( V_1 @ X4 ) ) ) ),
    define([status(thm)]) ).

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

thf(mor,axiom,
    ( mor
    = ( ^ [X: $i > $o,Y: $i > $o,U: $i] :
          ( ( X @ U )
          | ( Y @ U ) ) ) ) ).

thf('4',plain,
    ( mor
    = ( ^ [X: $i > $o,Y: $i > $o,U: $i] :
          ( ( X @ U )
          | ( Y @ U ) ) ) ),
    inference(simplify_rw_rule,[status(thm)],[mor]) ).

thf('5',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
    = ( ^ [X: $i > $o,U: $i] :
          ~ ( X @ U ) ) ) ).

thf('6',plain,
    ( mnot
    = ( ^ [X: $i > $o,U: $i] :
          ~ ( X @ U ) ) ),
    inference(simplify_rw_rule,[status(thm)],[mnot]) ).

thf('7',plain,
    ( mnot
    = ( ^ [V_1: $i > $o,V_2: $i] :
          ~ ( V_1 @ V_2 ) ) ),
    define([status(thm)]) ).

thf('8',plain,
    ( mimplies
    = ( ^ [U: $i > $o,V: $i > $o] : ( mor @ ( mnot @ U ) @ V ) ) ),
    inference(simplify_rw_rule,[status(thm)],[mimplies,'5','7']) ).

thf('9',plain,
    ( mimplies
    = ( ^ [V_1: $i > $o,V_2: $i > $o] : ( mor @ ( mnot @ V_1 ) @ V_2 ) ) ),
    define([status(thm)]) ).

thf('10',plain,
    ( iimplies
    = ( ^ [P: $i > $o,Q: $i > $o] : ( mimplies @ ( mbox_s4 @ P ) @ ( mbox_s4 @ Q ) ) ) ),
    inference(simplify_rw_rule,[status(thm)],[iimplies,'3','9']) ).

thf('11',plain,
    ( iimplies
    = ( ^ [V_1: $i > $o,V_2: $i > $o] : ( mimplies @ ( mbox_s4 @ V_1 ) @ ( mbox_s4 @ V_2 ) ) ) ),
    define([status(thm)]) ).

thf(inot,axiom,
    ( inot
    = ( ^ [P: $i > $o] : ( mnot @ ( mbox_s4 @ P ) ) ) ) ).

thf('12',plain,
    ( inot
    = ( ^ [P: $i > $o] : ( mnot @ ( mbox_s4 @ P ) ) ) ),
    inference(simplify_rw_rule,[status(thm)],[inot,'3','7']) ).

thf('13',plain,
    ( inot
    = ( ^ [V_1: $i > $o] : ( mnot @ ( mbox_s4 @ V_1 ) ) ) ),
    define([status(thm)]) ).

thf(iatom,axiom,
    ( iatom
    = ( ^ [P: $i > $o] : P ) ) ).

thf('14',plain,
    ( iatom
    = ( ^ [P: $i > $o] : P ) ),
    inference(simplify_rw_rule,[status(thm)],[iatom]) ).

thf('15',plain,
    ( iatom
    = ( ^ [V_1: $i > $o] : V_1 ) ),
    define([status(thm)]) ).

thf(pel3,conjecture,
    ivalid @ ( iimplies @ ( inot @ ( iimplies @ ( iatom @ p ) @ ( iatom @ q ) ) ) @ ( iimplies @ ( iatom @ q ) @ ( iatom @ p ) ) ) ).

thf(zf_stmt_0,conjecture,
    ! [X4: $i] :
      ( ! [X14: $i] :
          ( ( irel @ X4 @ X14 )
         => ( ! [X18: $i] :
                ( ( irel @ X14 @ X18 )
               => ( p @ X18 ) )
            | ~ ! [X16: $i] :
                  ( ( irel @ X14 @ X16 )
                 => ( q @ X16 ) ) ) )
      | ~ ! [X6: $i] :
            ( ( irel @ X4 @ X6 )
           => ~ ! [X8: $i] :
                  ( ( irel @ X6 @ X8 )
                 => ( ! [X12: $i] :
                        ( ( irel @ X8 @ X12 )
                       => ( q @ X12 ) )
                    | ~ ! [X10: $i] :
                          ( ( irel @ X8 @ X10 )
                         => ( p @ X10 ) ) ) ) ) ) ).

thf(zf_stmt_1,negated_conjecture,
    ~ ! [X4: $i] :
        ( ! [X14: $i] :
            ( ( irel @ X4 @ X14 )
           => ( ! [X18: $i] :
                  ( ( irel @ X14 @ X18 )
                 => ( p @ X18 ) )
              | ~ ! [X16: $i] :
                    ( ( irel @ X14 @ X16 )
                   => ( q @ X16 ) ) ) )
        | ~ ! [X6: $i] :
              ( ( irel @ X4 @ X6 )
             => ~ ! [X8: $i] :
                    ( ( irel @ X6 @ X8 )
                   => ( ! [X12: $i] :
                          ( ( irel @ X8 @ X12 )
                         => ( q @ X12 ) )
                      | ~ ! [X10: $i] :
                            ( ( irel @ X8 @ X10 )
                           => ( p @ X10 ) ) ) ) ) ),
    inference('cnf.neg',[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl2,plain,
    ~ ( !!
      @ ^ [Y0: $i] :
          ( ( !!
            @ ^ [Y1: $i] :
                ( ( irel @ Y0 @ Y1 )
               => ( ( !!
                    @ ^ [Y2: $i] :
                        ( ( irel @ Y1 @ Y2 )
                       => ( p @ Y2 ) ) )
                  | ( (~)
                    @ ( !!
                      @ ^ [Y2: $i] :
                          ( ( irel @ Y1 @ Y2 )
                         => ( q @ Y2 ) ) ) ) ) ) )
          | ( (~)
            @ ( !!
              @ ^ [Y1: $i] :
                  ( ( irel @ Y0 @ Y1 )
                 => ( (~)
                    @ ( !!
                      @ ^ [Y2: $i] :
                          ( ( irel @ Y1 @ Y2 )
                         => ( ( !!
                              @ ^ [Y3: $i] :
                                  ( ( irel @ Y2 @ Y3 )
                                 => ( q @ Y3 ) ) )
                            | ( (~)
                              @ ( !!
                                @ ^ [Y3: $i] :
                                    ( ( irel @ Y2 @ Y3 )
                                   => ( p @ Y3 ) ) ) ) ) ) ) ) ) ) ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_1]) ).

thf(zip_derived_cl17,plain,
    ~ ( ( !!
        @ ^ [Y0: $i] :
            ( ( irel @ '#sk1' @ Y0 )
           => ( ( !!
                @ ^ [Y1: $i] :
                    ( ( irel @ Y0 @ Y1 )
                   => ( p @ Y1 ) ) )
              | ( (~)
                @ ( !!
                  @ ^ [Y1: $i] :
                      ( ( irel @ Y0 @ Y1 )
                     => ( q @ Y1 ) ) ) ) ) ) )
      | ( (~)
        @ ( !!
          @ ^ [Y0: $i] :
              ( ( irel @ '#sk1' @ Y0 )
             => ( (~)
                @ ( !!
                  @ ^ [Y1: $i] :
                      ( ( irel @ Y0 @ Y1 )
                     => ( ( !!
                          @ ^ [Y2: $i] :
                              ( ( irel @ Y1 @ Y2 )
                             => ( q @ Y2 ) ) )
                        | ( (~)
                          @ ( !!
                            @ ^ [Y2: $i] :
                                ( ( irel @ Y1 @ Y2 )
                               => ( p @ Y2 ) ) ) ) ) ) ) ) ) ) ) ),
    inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl2]) ).

thf(zip_derived_cl19,plain,
    ( !!
    @ ^ [Y0: $i] :
        ( ( irel @ '#sk1' @ Y0 )
       => ( (~)
          @ ( !!
            @ ^ [Y1: $i] :
                ( ( irel @ Y0 @ Y1 )
               => ( ( !!
                    @ ^ [Y2: $i] :
                        ( ( irel @ Y1 @ Y2 )
                       => ( q @ Y2 ) ) )
                  | ( (~)
                    @ ( !!
                      @ ^ [Y2: $i] :
                          ( ( irel @ Y1 @ Y2 )
                         => ( p @ Y2 ) ) ) ) ) ) ) ) ) ),
    inference(lazy_cnf_or,[status(thm)],[zip_derived_cl17]) ).

thf(zip_derived_cl21,plain,
    ! [X2: $i] :
      ( ( irel @ '#sk1' @ X2 )
     => ( (~)
        @ ( !!
          @ ^ [Y0: $i] :
              ( ( irel @ X2 @ Y0 )
             => ( ( !!
                  @ ^ [Y1: $i] :
                      ( ( irel @ Y0 @ Y1 )
                     => ( q @ Y1 ) ) )
                | ( (~)
                  @ ( !!
                    @ ^ [Y1: $i] :
                        ( ( irel @ Y0 @ Y1 )
                       => ( p @ Y1 ) ) ) ) ) ) ) ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl19]) ).

thf(zip_derived_cl24,plain,
    ! [X2: $i] :
      ( ~ ( irel @ '#sk1' @ X2 )
      | ~ ( !!
          @ ^ [Y0: $i] :
              ( ( irel @ X2 @ Y0 )
             => ( ( !!
                  @ ^ [Y1: $i] :
                      ( ( irel @ Y0 @ Y1 )
                     => ( q @ Y1 ) ) )
                | ( (~)
                  @ ( !!
                    @ ^ [Y1: $i] :
                        ( ( irel @ Y0 @ Y1 )
                       => ( p @ Y1 ) ) ) ) ) ) ) ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl21]) ).

thf(zip_derived_cl27,plain,
    ! [X2: $i] :
      ( ~ ( ( irel @ X2 @ ( '#sk3' @ X2 ) )
         => ( ( !!
              @ ^ [Y0: $i] :
                  ( ( irel @ ( '#sk3' @ X2 ) @ Y0 )
                 => ( q @ Y0 ) ) )
            | ( (~)
              @ ( !!
                @ ^ [Y0: $i] :
                    ( ( irel @ ( '#sk3' @ X2 ) @ Y0 )
                   => ( p @ Y0 ) ) ) ) ) )
      | ~ ( irel @ '#sk1' @ X2 ) ),
    inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl24]) ).

thf(zip_derived_cl31,plain,
    ! [X2: $i] :
      ( ~ ( ( !!
            @ ^ [Y0: $i] :
                ( ( irel @ ( '#sk3' @ X2 ) @ Y0 )
               => ( q @ Y0 ) ) )
          | ( (~)
            @ ( !!
              @ ^ [Y0: $i] :
                  ( ( irel @ ( '#sk3' @ X2 ) @ Y0 )
                 => ( p @ Y0 ) ) ) ) )
      | ~ ( irel @ '#sk1' @ X2 ) ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl27]) ).

thf(zip_derived_cl35,plain,
    ! [X2: $i] :
      ( ~ ( !!
          @ ^ [Y0: $i] :
              ( ( irel @ ( '#sk3' @ X2 ) @ Y0 )
             => ( q @ Y0 ) ) )
      | ~ ( irel @ '#sk1' @ X2 ) ),
    inference(lazy_cnf_or,[status(thm)],[zip_derived_cl31]) ).

thf(zip_derived_cl37,plain,
    ! [X2: $i] :
      ( ~ ( ( irel @ ( '#sk3' @ X2 ) @ ( '#sk5' @ X2 ) )
         => ( q @ ( '#sk5' @ X2 ) ) )
      | ~ ( irel @ '#sk1' @ X2 ) ),
    inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl35]) ).

thf(zip_derived_cl40,plain,
    ! [X2: $i] :
      ( ~ ( q @ ( '#sk5' @ X2 ) )
      | ~ ( irel @ '#sk1' @ X2 ) ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl37]) ).

thf(zip_derived_cl18,plain,
    ~ ( !!
      @ ^ [Y0: $i] :
          ( ( irel @ '#sk1' @ Y0 )
         => ( ( !!
              @ ^ [Y1: $i] :
                  ( ( irel @ Y0 @ Y1 )
                 => ( p @ Y1 ) ) )
            | ( (~)
              @ ( !!
                @ ^ [Y1: $i] :
                    ( ( irel @ Y0 @ Y1 )
                   => ( q @ Y1 ) ) ) ) ) ) ),
    inference(lazy_cnf_or,[status(thm)],[zip_derived_cl17]) ).

thf(zip_derived_cl20,plain,
    ~ ( ( irel @ '#sk1' @ '#sk2' )
     => ( ( !!
          @ ^ [Y0: $i] :
              ( ( irel @ '#sk2' @ Y0 )
             => ( p @ Y0 ) ) )
        | ( (~)
          @ ( !!
            @ ^ [Y0: $i] :
                ( ( irel @ '#sk2' @ Y0 )
               => ( q @ Y0 ) ) ) ) ) ),
    inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl18]) ).

thf(zip_derived_cl23,plain,
    ~ ( ( !!
        @ ^ [Y0: $i] :
            ( ( irel @ '#sk2' @ Y0 )
           => ( p @ Y0 ) ) )
      | ( (~)
        @ ( !!
          @ ^ [Y0: $i] :
              ( ( irel @ '#sk2' @ Y0 )
             => ( q @ Y0 ) ) ) ) ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl20]) ).

thf(zip_derived_cl26,plain,
    ( !!
    @ ^ [Y0: $i] :
        ( ( irel @ '#sk2' @ Y0 )
       => ( q @ Y0 ) ) ),
    inference(lazy_cnf_or,[status(thm)],[zip_derived_cl23]) ).

thf(zip_derived_cl29,plain,
    ! [X2: $i] :
      ( ( irel @ '#sk2' @ X2 )
     => ( q @ X2 ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl26]) ).

thf(zip_derived_cl34,plain,
    ! [X2: $i] :
      ( ~ ( irel @ '#sk2' @ X2 )
      | ( q @ X2 ) ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl29]) ).

thf(zip_derived_cl46,plain,
    ! [X0: $i] :
      ( ~ ( irel @ '#sk1' @ X0 )
      | ~ ( irel @ '#sk2' @ ( '#sk5' @ X0 ) ) ),
    inference('sup+',[status(thm)],[zip_derived_cl40,zip_derived_cl34]) ).

thf(zip_derived_cl30,plain,
    ! [X2: $i] :
      ( ( irel @ X2 @ ( '#sk3' @ X2 ) )
      | ~ ( irel @ '#sk1' @ X2 ) ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl27]) ).

thf(zip_derived_cl39,plain,
    ! [X2: $i] :
      ( ( irel @ ( '#sk3' @ X2 ) @ ( '#sk5' @ X2 ) )
      | ~ ( irel @ '#sk1' @ X2 ) ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl37]) ).

thf(trans_axiom,axiom,
    ! [X: $i,Y: $i,Z: $i] :
      ( ( ( irel @ Y @ Z )
        & ( irel @ X @ Y ) )
     => ( irel @ X @ Z ) ) ).

thf(zip_derived_cl1,plain,
    ( !!
    @ ^ [Y0: $i] :
        ( !!
        @ ^ [Y1: $i] :
            ( !!
            @ ^ [Y2: $i] :
                ( ( ( irel @ Y1 @ Y2 )
                  & ( irel @ Y0 @ Y1 ) )
               => ( irel @ Y0 @ Y2 ) ) ) ) ),
    inference(cnf,[status(esa)],[trans_axiom]) ).

thf(zip_derived_cl4,plain,
    ! [X2: $i] :
      ( !!
      @ ^ [Y0: $i] :
          ( !!
          @ ^ [Y1: $i] :
              ( ( ( irel @ Y0 @ Y1 )
                & ( irel @ X2 @ Y0 ) )
             => ( irel @ X2 @ Y1 ) ) ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl1]) ).

thf(zip_derived_cl5,plain,
    ! [X2: $i,X4: $i] :
      ( !!
      @ ^ [Y0: $i] :
          ( ( ( irel @ X4 @ Y0 )
            & ( irel @ X2 @ X4 ) )
         => ( irel @ X2 @ Y0 ) ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl4]) ).

thf(zip_derived_cl6,plain,
    ! [X2: $i,X4: $i,X6: $i] :
      ( ( ( irel @ X4 @ X6 )
        & ( irel @ X2 @ X4 ) )
     => ( irel @ X2 @ X6 ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl5]) ).

thf(zip_derived_cl7,plain,
    ! [X2: $i,X4: $i,X6: $i] :
      ( ~ ( ( irel @ X4 @ X6 )
          & ( irel @ X2 @ X4 ) )
      | ( irel @ X2 @ X6 ) ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl6]) ).

thf(zip_derived_cl8,plain,
    ! [X2: $i,X4: $i,X6: $i] :
      ( ~ ( irel @ X4 @ X6 )
      | ~ ( irel @ X2 @ X4 )
      | ( irel @ X2 @ X6 ) ),
    inference(lazy_cnf_and,[status(thm)],[zip_derived_cl7]) ).

thf(zip_derived_cl62,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( irel @ '#sk1' @ X0 )
      | ( irel @ X1 @ ( '#sk5' @ X0 ) )
      | ~ ( irel @ X1 @ ( '#sk3' @ X0 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl39,zip_derived_cl8]) ).

thf(zip_derived_cl77,plain,
    ! [X0: $i] :
      ( ~ ( irel @ '#sk1' @ X0 )
      | ( irel @ X0 @ ( '#sk5' @ X0 ) )
      | ~ ( irel @ '#sk1' @ X0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl30,zip_derived_cl62]) ).

thf(zip_derived_cl83,plain,
    ! [X0: $i] :
      ( ( irel @ X0 @ ( '#sk5' @ X0 ) )
      | ~ ( irel @ '#sk1' @ X0 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl77]) ).

thf(zip_derived_cl89,plain,
    ( ~ ( irel @ '#sk1' @ '#sk2' )
    | ~ ( irel @ '#sk1' @ '#sk2' ) ),
    inference('sup+',[status(thm)],[zip_derived_cl46,zip_derived_cl83]) ).

thf(zip_derived_cl22,plain,
    irel @ '#sk1' @ '#sk2',
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl20]) ).

thf(zip_derived_cl22_001,plain,
    irel @ '#sk1' @ '#sk2',
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl20]) ).

thf(zip_derived_cl94,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl89,zip_derived_cl22,zip_derived_cl22]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : SYN041^4 : TPTP v8.1.2. Released v4.0.0.
% 0.13/0.14  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.575MNqPhfo true
% 0.15/0.34  % Computer : n031.cluster.edu
% 0.15/0.34  % Model    : x86_64 x86_64
% 0.15/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.34  % Memory   : 8042.1875MB
% 0.15/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.34  % CPULimit : 300
% 0.15/0.34  % WCLimit  : 300
% 0.15/0.35  % DateTime : Sat Aug 26 19:25:53 EDT 2023
% 0.15/0.35  % CPUTime  : 
% 0.15/0.35  % Running portfolio for 300 s
% 0.15/0.35  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.15/0.35  % Number of cores: 8
% 0.15/0.35  % Python version: Python 3.6.8
% 0.15/0.35  % Running in HO mode
% 0.21/0.63  % Total configuration time : 828
% 0.21/0.63  % Estimated wc time : 1656
% 0.21/0.63  % Estimated cpu time (8 cpus) : 207.0
% 1.03/0.73  % /export/starexec/sandbox2/solver/bin/lams/40_c.s.sh running for 80s
% 1.03/0.73  % /export/starexec/sandbox2/solver/bin/lams/40_c_ic.sh running for 80s
% 1.03/0.73  % /export/starexec/sandbox2/solver/bin/lams/35_full_unif4.sh running for 80s
% 1.03/0.74  % /export/starexec/sandbox2/solver/bin/lams/15_e_short1.sh running for 30s
% 1.03/0.75  % /export/starexec/sandbox2/solver/bin/lams/40_b.comb.sh running for 70s
% 1.03/0.75  % /export/starexec/sandbox2/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 1.03/0.77  % /export/starexec/sandbox2/solver/bin/lams/40_noforms.sh running for 90s
% 1.38/0.77  % /export/starexec/sandbox2/solver/bin/lams/30_sp5.sh running for 60s
% 1.38/0.79  % Solved by lams/35_full_unif4.sh.
% 1.38/0.79  % done 35 iterations in 0.038s
% 1.38/0.79  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 1.38/0.79  % SZS output start Refutation
% See solution above
% 1.38/0.79  
% 1.38/0.79  
% 1.38/0.79  % Terminating...
% 1.38/0.85  % Runner terminated.
% 1.38/0.86  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------