↑ Up

Zipperpin---2.1.9999.THM-Ref.s

View TPTP
Problem
Process solution in
SystemOnTSTP
Download .tgz
%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SYO515^1 : TPTP v9.2.1. Bugfixed v9.2.1.
% Transfm  : none
% Format   : tptp:raw
% Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.K0FRPodw9E true

% Computer : n024.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 : Sat Feb 28 09:54:36 AM UTC 2026

% Result   : Theorem 26.49s 6.08s
% Output   : Refutation 26.49s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :   17
% Syntax   : Number of formulae    :   97 (  23 unt;   0 typ;   0 def)
%            Number of atoms       :  416 (  25 equ;  24 cnn)
%            Maximal formula atoms :    9 (   4 avg)
%            Number of connectives :  585 ( 160   ~; 137   |;  12   &; 256   @)
%                                         (  12 <=>;   3  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   12 (   5 avg)
%            Number of types       :    1 (   0 usr)
%            Number of type conns  :   15 (  15   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   21 (  16 usr;  13 con; 0-2 aty)
%                                         (   5  !!;   0  ??;   0 @@+;   0 @@-)
%            Number of variables   :  144 (  80   ^;  61   !;   3   ?; 144   :)

% Comments : 
%------------------------------------------------------------------------------
thf('#l_lift4_type',type,
    '#l_lift4': $o > $o ).

thf(sk__6_type,type,
    sk__6: $o ).

thf('#sk8_type',type,
    '#sk8': $o ).

thf(sk__44_type,type,
    sk__44: $o ).

thf(t_type,type,
    t: ( ( $o > $o ) > $o ) > $o > $o ).

thf(sk__1_type,type,
    sk__1: $o > $o ).

thf(sk__4_type,type,
    sk__4: $o ).

thf('#sk7_type',type,
    '#sk7': $o ).

thf(sk__type,type,
    sk_: ( $o > $o ) > $o ).

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

thf('#l_lift3_type',type,
    '#l_lift3': $o > $o ).

thf(sk__2_type,type,
    sk__2: $o ).

thf(sk__3_type,type,
    sk__3: $o ).

thf('#l_lift1_type',type,
    '#l_lift1': $o > $o ).

thf('#sk6_type',type,
    '#sk6': $o ).

thf('#l_lift2_type',type,
    '#l_lift2': $o > $o ).

thf(t,axiom,
    ( t
    = ( ^ [P: ( $o > $o ) > $o,X: $o] :
          ( ~ ( P
              @ ^ [X: $o] : $false )
          & ( ( P
              @ ^ [X: $o] : $true )
            | ( ( P
                @ ^ [X: $o] : ~ X )
            <=> ~ X ) ) ) ) ) ).

thf('0',plain,
    ( t
    = ( ^ [P: ( $o > $o ) > $o,X: $o] :
          ( ~ ( P
              @ ^ [X: $o] : $false )
          & ( ( P
              @ ^ [X: $o] : $true )
            | ( ( P
                @ ^ [X: $o] : ~ X )
            <=> ~ X ) ) ) ) ),
    inference(simplify_rw_rule,[status(thm)],[t]) ).

thf('1',plain,
    ( t
    = ( ^ [V_1: ( $o > $o ) > $o,V_2: $o] :
          ( ~ ( V_1
              @ ^ [V_3: $o] : $false )
          & ( ( V_1
              @ ^ [V_4: $o] : $true )
            | ( ( V_1
                @ ^ [V_5: $o] : ~ V_5 )
            <=> ~ V_2 ) ) ) ) ),
    define([status(thm)]) ).

thf(choiceoo1,conjecture,
    ! [P: ( $o > $o ) > $o] :
      ( ? [Y: $o > $o] : ( P @ Y )
     => ( P @ ( t @ P ) ) ) ).

thf(zf_stmt_0,conjecture,
    ! [X4: ( $o > $o ) > $o] :
      ( ? [X6: $o > $o] : ( X4 @ X6 )
     => ( X4
        @ ^ [V_1: $o] :
            ( ( ( ( X4
                  @ ^ [V_4: $o] : ~ V_4 )
              <=> ~ V_1 )
              | ( X4
                @ ^ [V_3: $o] : $true ) )
            & ~ ( X4
                @ ^ [V_2: $o] : $false ) ) ) ) ).

thf(zf_stmt_1,negated_conjecture,
    ~ ! [X4: ( $o > $o ) > $o] :
        ( ? [X6: $o > $o] : ( X4 @ X6 )
       => ( X4
          @ ^ [V_1: $o] :
              ( ( ( ( X4
                    @ ^ [V_4: $o] : ~ V_4 )
                <=> ~ V_1 )
                | ( X4
                  @ ^ [V_3: $o] : $true ) )
              & ~ ( X4
                  @ ^ [V_2: $o] : $false ) ) ) ),
    inference('cnf.neg',[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl0,plain,
    sk_ @ sk__1,
    inference(cnf,[status(esa)],[zf_stmt_1]) ).

thf(zip_derived_cl26,plain,
    ( ~ ( !!
        @ ^ [Y0: $o] : ( sk__1 @ Y0 ) )
    | ( sk_
      @ ^ [Y0: $o] : $true ) ),
    inference('interpret boolean function',[status(thm)],[zip_derived_cl0]) ).

thf(zip_derived_cl113,plain,
    ( ( sk_
      @ ^ [Y0: $o] : $true )
    | ~ ( sk__1 @ sk__4 ) ),
    inference(cnf_otf,[status(thm)],[zip_derived_cl26]) ).

thf(zip_derived_cl115,plain,
    ( ~ sk__4
    | ( sk_
      @ ^ [Y0: $o] : $true )
    | ~ ( sk__1 @ $true ) ),
    inference(bool_hoist,[status(thm)],[zip_derived_cl113]) ).

thf(zip_derived_cl114,plain,
    ( sk__4
    | ( sk_
      @ ^ [Y0: $o] : $true )
    | ~ ( sk__1 @ $false ) ),
    inference(bool_hoist,[status(thm)],[zip_derived_cl113]) ).

thf(zip_derived_cl1,plain,
    ~ ( sk_
      @ ^ [Y0: $o] :
          ( ( ( ( sk_
                @ ^ [Y1: $o] : ( (~) @ Y1 ) )
            <=> ( (~) @ Y0 ) )
            | ( sk_
              @ ^ [Y1: $o] : $true ) )
          & ( (~)
            @ ( sk_
              @ ^ [Y1: $o] : $false ) ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_1]) ).

thf(zip_derived_cl1_001,plain,
    ~ ( sk_
      @ ^ [Y0: $o] :
          ( ( ( ( sk_
                @ ^ [Y1: $o] : ( (~) @ Y1 ) )
            <=> ( (~) @ Y0 ) )
            | ( sk_
              @ ^ [Y1: $o] : $true ) )
          & ( (~)
            @ ( sk_
              @ ^ [Y1: $o] : $false ) ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_1]) ).

thf(zip_derived_cl5,plain,
    ! [X4: $o] :
      ( ( '#l_lift4' @ X4 )
      = ( ( ( ( sk_ @ '#l_lift1' )
          <=> ( (~) @ X4 ) )
          | ( sk_ @ '#l_lift2' ) )
        & ( (~) @ ( sk_ @ '#l_lift3' ) ) ) ),
    define([status(thm)]) ).

thf(zip_derived_cl1_002,plain,
    ~ ( sk_
      @ ^ [Y0: $o] :
          ( ( ( ( sk_
                @ ^ [Y1: $o] : ( (~) @ Y1 ) )
            <=> ( (~) @ Y0 ) )
            | ( sk_
              @ ^ [Y1: $o] : $true ) )
          & ( (~)
            @ ( sk_
              @ ^ [Y1: $o] : $false ) ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_1]) ).

thf(zip_derived_cl2,plain,
    ! [X1: $o] :
      ( ( '#l_lift1' @ X1 )
      = ( (~) @ X1 ) ),
    define([status(thm)]) ).

thf(zip_derived_cl1_003,plain,
    ~ ( sk_
      @ ^ [Y0: $o] :
          ( ( ( ( sk_
                @ ^ [Y1: $o] : ( (~) @ Y1 ) )
            <=> ( (~) @ Y0 ) )
            | ( sk_
              @ ^ [Y1: $o] : $true ) )
          & ( (~)
            @ ( sk_
              @ ^ [Y1: $o] : $false ) ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_1]) ).

thf(zip_derived_cl3,plain,
    ! [X2: $o] : ( '#l_lift2' @ X2 ),
    define([status(thm)]) ).

thf(zip_derived_cl1_004,plain,
    ~ ( sk_
      @ ^ [Y0: $o] :
          ( ( ( ( sk_
                @ ^ [Y1: $o] : ( (~) @ Y1 ) )
            <=> ( (~) @ Y0 ) )
            | ( sk_
              @ ^ [Y1: $o] : $true ) )
          & ( (~)
            @ ( sk_
              @ ^ [Y1: $o] : $false ) ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_1]) ).

thf(zip_derived_cl4,plain,
    ! [X3: $o] :
      ~ ( '#l_lift3' @ X3 ),
    define([status(thm)]) ).

thf(zip_derived_cl6,plain,
    ~ ( sk_ @ '#l_lift4' ),
    inference(lambda_lifting,[status(thm)],[zip_derived_cl1,zip_derived_cl5,zip_derived_cl2,zip_derived_cl3,zip_derived_cl4]) ).

thf(zip_derived_cl24,plain,
    ( ~ ( !!
        @ ^ [Y0: $o] : ( (~) @ ( '#l_lift4' @ Y0 ) ) )
    | ~ ( sk_
        @ ^ [Y0: $o] : $false ) ),
    inference('interpret boolean function',[status(thm)],[zip_derived_cl6]) ).

thf(zip_derived_cl53,plain,
    ( ~ ( sk_
        @ ^ [Y0: $o] : $false )
    | ( '#l_lift4' @ sk__3 ) ),
    inference(cnf_otf,[status(thm)],[zip_derived_cl24]) ).

thf(zip_derived_cl54,plain,
    ( sk__3
    | ~ ( sk_
        @ ^ [Y0: $o] : $false )
    | ( '#l_lift4' @ $false ) ),
    inference(bool_hoist,[status(thm)],[zip_derived_cl53]) ).

thf(zip_derived_cl55,plain,
    ( ~ sk__3
    | ~ ( sk_
        @ ^ [Y0: $o] : $false )
    | ( '#l_lift4' @ $true ) ),
    inference(bool_hoist,[status(thm)],[zip_derived_cl53]) ).

thf(zip_derived_cl5_005,plain,
    ! [X4: $o] :
      ( ( '#l_lift4' @ X4 )
      = ( ( ( ( sk_ @ '#l_lift1' )
          <=> ( (~) @ X4 ) )
          | ( sk_ @ '#l_lift2' ) )
        & ( (~) @ ( sk_ @ '#l_lift3' ) ) ) ),
    define([status(thm)]) ).

thf(zip_derived_cl16,plain,
    ! [X0: $o] :
      ( ( '#l_lift4' @ X0 )
      | ( sk_ @ '#l_lift3' )
      | ~ ( sk_ @ '#l_lift2' ) ),
    inference(clausify_def,[status(thm)],[zip_derived_cl5]) ).

thf(zip_derived_cl94,plain,
    ! [X0: $o] :
      ( ~ ( !!
          @ ^ [Y0: $o] : ( (~) @ ( '#l_lift3' @ Y0 ) ) )
      | ( '#l_lift4' @ X0 )
      | ( sk_
        @ ^ [Y0: $o] : $false )
      | ~ ( sk_ @ '#l_lift2' ) ),
    inference('interpret boolean function',[status(thm)],[zip_derived_cl16]) ).

thf(zip_derived_cl1998,plain,
    ! [X0: $o] :
      ( ~ ( sk_ @ '#l_lift2' )
      | ( sk_
        @ ^ [Y0: $o] : $false )
      | ( '#l_lift3' @ sk__44 )
      | ( '#l_lift4' @ X0 ) ),
    inference(cnf_otf,[status(thm)],[zip_derived_cl94]) ).

thf(zip_derived_cl4_006,plain,
    ! [X3: $o] :
      ~ ( '#l_lift3' @ X3 ),
    define([status(thm)]) ).

thf(zip_derived_cl1999,plain,
    ! [X0: $o] :
      ( ~ ( sk_ @ '#l_lift2' )
      | ( sk_
        @ ^ [Y0: $o] : $false )
      | ( '#l_lift4' @ X0 ) ),
    inference(demod,[status(thm)],[zip_derived_cl1998,zip_derived_cl4]) ).

thf(zip_derived_cl15,plain,
    ! [X0: $o] :
      ( ~ ( sk_ @ '#l_lift3' )
      | ~ ( '#l_lift4' @ X0 ) ),
    inference(clausify_def,[status(thm)],[zip_derived_cl5]) ).

thf(zip_derived_cl32,plain,
    ! [X0: $o] :
      ( ~ ( !!
          @ ^ [Y0: $o] : ( (~) @ ( '#l_lift3' @ Y0 ) ) )
      | ~ ( sk_
          @ ^ [Y0: $o] : $false )
      | ~ ( '#l_lift4' @ X0 ) ),
    inference('interpret boolean function',[status(thm)],[zip_derived_cl15]) ).

thf(zip_derived_cl194,plain,
    ! [X0: $o] :
      ( ~ ( sk_
          @ ^ [Y0: $o] : $false )
      | ( '#l_lift3' @ sk__6 )
      | ~ ( '#l_lift4' @ X0 ) ),
    inference(cnf_otf,[status(thm)],[zip_derived_cl32]) ).

thf(zip_derived_cl4_007,plain,
    ! [X3: $o] :
      ~ ( '#l_lift3' @ X3 ),
    define([status(thm)]) ).

thf(zip_derived_cl195,plain,
    ! [X0: $o] :
      ( ~ ( sk_
          @ ^ [Y0: $o] : $false )
      | ~ ( '#l_lift4' @ X0 ) ),
    inference(demod,[status(thm)],[zip_derived_cl194,zip_derived_cl4]) ).

thf(zip_derived_cl0_008,plain,
    sk_ @ sk__1,
    inference(cnf,[status(esa)],[zf_stmt_1]) ).

thf(zip_derived_cl6_009,plain,
    ~ ( sk_ @ '#l_lift4' ),
    inference(lambda_lifting,[status(thm)],[zip_derived_cl1,zip_derived_cl5,zip_derived_cl2,zip_derived_cl3,zip_derived_cl4]) ).

thf(zip_derived_cl25,plain,
    ( ( ^ [Y0: $o] : ( sk__1 @ Y0 ) )
   != ( ^ [Y0: $o] : ( '#l_lift4' @ Y0 ) ) ),
    inference(ext_sup,[status(thm)],[zip_derived_cl0,zip_derived_cl6]) ).

thf(zip_derived_cl28,plain,
    sk__1 != '#l_lift4',
    inference(ho_norm,[status(thm)],[zip_derived_cl25]) ).

thf(zip_derived_cl29,plain,
    ( ( sk__1 @ '#sk5' )
   != ( '#l_lift4' @ '#sk5' ) ),
    inference(neg_ext,[status(thm)],[zip_derived_cl28]) ).

thf(zip_derived_cl39,plain,
    ( ~ ( '#l_lift4' @ '#sk5' )
    | ~ ( sk__1 @ '#sk5' ) ),
    inference(cnf_otf,[status(thm)],[zip_derived_cl29]) ).

thf(zip_derived_cl43,plain,
    ( ~ '#sk5'
    | ~ ( '#l_lift4' @ $true )
    | ~ ( sk__1 @ $true ) ),
    inference(bool_hoist,[status(thm)],[zip_derived_cl39]) ).

thf(zip_derived_cl38,plain,
    ( ( '#l_lift4' @ '#sk5' )
    | ( sk__1 @ '#sk5' ) ),
    inference(cnf_otf,[status(thm)],[zip_derived_cl29]) ).

thf(zip_derived_cl40,plain,
    ( '#sk5'
    | ( '#l_lift4' @ $false )
    | ( sk__1 @ $false ) ),
    inference(bool_hoist,[status(thm)],[zip_derived_cl38]) ).

thf(zip_derived_cl0_010,plain,
    sk_ @ sk__1,
    inference(cnf,[status(esa)],[zf_stmt_1]) ).

thf(zip_derived_cl15_011,plain,
    ! [X0: $o] :
      ( ~ ( sk_ @ '#l_lift3' )
      | ~ ( '#l_lift4' @ X0 ) ),
    inference(clausify_def,[status(thm)],[zip_derived_cl5]) ).

thf(zip_derived_cl30,plain,
    ! [X0: $o] :
      ( ( ( ^ [Y0: $o] : ( sk__1 @ Y0 ) )
       != ( ^ [Y0: $o] : ( '#l_lift3' @ Y0 ) ) )
      | ~ ( '#l_lift4' @ X0 ) ),
    inference(ext_sup,[status(thm)],[zip_derived_cl0,zip_derived_cl15]) ).

thf(zip_derived_cl33,plain,
    ! [X0: $o] :
      ( ( sk__1 != '#l_lift3' )
      | ~ ( '#l_lift4' @ X0 ) ),
    inference(ho_norm,[status(thm)],[zip_derived_cl30]) ).

thf(zip_derived_cl34,plain,
    ! [X0: $o] :
      ( ( ( sk__1 @ '#sk6' )
       != ( '#l_lift3' @ '#sk6' ) )
      | ~ ( '#l_lift4' @ X0 ) ),
    inference(neg_ext,[status(thm)],[zip_derived_cl33]) ).

thf(zip_derived_cl4_012,plain,
    ! [X3: $o] :
      ~ ( '#l_lift3' @ X3 ),
    define([status(thm)]) ).

thf(zip_derived_cl35,plain,
    ! [X0: $o] :
      ( ( sk__1 @ '#sk6' )
      | ~ ( '#l_lift4' @ X0 ) ),
    inference(demod,[status(thm)],[zip_derived_cl34,zip_derived_cl4]) ).

thf(zip_derived_cl372,plain,
    ! [X0: $o] :
      ( ~ '#sk6'
      | ( sk__1 @ $true )
      | ~ ( '#l_lift4' @ X0 ) ),
    inference(bool_hoist,[status(thm)],[zip_derived_cl35]) ).

thf(zip_derived_cl371,plain,
    ! [X0: $o] :
      ( '#sk6'
      | ( sk__1 @ $false )
      | ~ ( '#l_lift4' @ X0 ) ),
    inference(bool_hoist,[status(thm)],[zip_derived_cl35]) ).

thf(zip_derived_cl0_013,plain,
    sk_ @ sk__1,
    inference(cnf,[status(esa)],[zf_stmt_1]) ).

thf(zip_derived_cl17,plain,
    ! [X0: $o] :
      ( ( '#l_lift4' @ X0 )
      | ( sk_ @ '#l_lift3' )
      | X0
      | ~ ( sk_ @ '#l_lift1' ) ),
    inference(clausify_def,[status(thm)],[zip_derived_cl5]) ).

thf(zip_derived_cl259,plain,
    ! [X0: $o] :
      ( ( ( ^ [Y0: $o] : ( sk__1 @ Y0 ) )
       != ( ^ [Y0: $o] : ( '#l_lift1' @ Y0 ) ) )
      | ( '#l_lift4' @ X0 )
      | ( sk_ @ '#l_lift3' )
      | X0 ),
    inference(ext_sup,[status(thm)],[zip_derived_cl0,zip_derived_cl17]) ).

thf(zip_derived_cl319,plain,
    ! [X0: $o] :
      ( ( sk__1 != '#l_lift1' )
      | ( '#l_lift4' @ X0 )
      | ( sk_ @ '#l_lift3' )
      | X0 ),
    inference(ho_norm,[status(thm)],[zip_derived_cl259]) ).

thf(zip_derived_cl23,plain,
    ( ~ ( !!
        @ ^ [Y0: $o] : ( '#l_lift4' @ Y0 ) )
    | ~ ( sk_
        @ ^ [Y0: $o] : $true ) ),
    inference('interpret boolean function',[status(thm)],[zip_derived_cl6]) ).

thf(zip_derived_cl45,plain,
    ( ~ ( sk_
        @ ^ [Y0: $o] : $true )
    | ~ ( '#l_lift4' @ sk__2 ) ),
    inference(cnf_otf,[status(thm)],[zip_derived_cl23]) ).

thf(zip_derived_cl46,plain,
    ( sk__2
    | ~ ( sk_
        @ ^ [Y0: $o] : $true )
    | ~ ( '#l_lift4' @ $false ) ),
    inference(bool_hoist,[status(thm)],[zip_derived_cl45]) ).

thf(zip_derived_cl47,plain,
    ( ~ sk__2
    | ~ ( sk_
        @ ^ [Y0: $o] : $true )
    | ~ ( '#l_lift4' @ $true ) ),
    inference(bool_hoist,[status(thm)],[zip_derived_cl45]) ).

thf(zip_derived_cl3_014,plain,
    ! [X2: $o] : ( '#l_lift2' @ X2 ),
    define([status(thm)]) ).

thf(zip_derived_cl13,plain,
    ! [X0: $o] :
      ( ( sk_ @ '#l_lift2' )
      | ~ X0
      | ~ ( sk_ @ '#l_lift1' )
      | ~ ( '#l_lift4' @ X0 ) ),
    inference(clausify_def,[status(thm)],[zip_derived_cl5]) ).

thf(zip_derived_cl2_015,plain,
    ! [X1: $o] :
      ( ( '#l_lift1' @ X1 )
      = ( (~) @ X1 ) ),
    define([status(thm)]) ).

thf(zip_derived_cl22,plain,
    ! [X0: $o] :
      ( ( '#l_lift1' @ X0 )
      | X0 ),
    inference(clausify_def,[status(thm)],[zip_derived_cl2]) ).

thf(zip_derived_cl16_016,plain,
    ! [X0: $o] :
      ( ( '#l_lift4' @ X0 )
      | ( sk_ @ '#l_lift3' )
      | ~ ( sk_ @ '#l_lift2' ) ),
    inference(clausify_def,[status(thm)],[zip_derived_cl5]) ).

thf(zip_derived_cl13_017,plain,
    ! [X0: $o] :
      ( ( sk_ @ '#l_lift2' )
      | ~ X0
      | ~ ( sk_ @ '#l_lift1' )
      | ~ ( '#l_lift4' @ X0 ) ),
    inference(clausify_def,[status(thm)],[zip_derived_cl5]) ).

thf(zip_derived_cl83,plain,
    ! [X0: $o,X1: $o] :
      ( ( sk_ @ '#l_lift3' )
      | ( '#l_lift4' @ X1 )
      | ~ ( '#l_lift4' @ X0 )
      | ~ ( sk_ @ '#l_lift1' )
      | ~ X0 ),
    inference('sup+',[status(thm)],[zip_derived_cl16,zip_derived_cl13]) ).

thf(zip_derived_cl15_018,plain,
    ! [X0: $o] :
      ( ~ ( sk_ @ '#l_lift3' )
      | ~ ( '#l_lift4' @ X0 ) ),
    inference(clausify_def,[status(thm)],[zip_derived_cl5]) ).

thf(zip_derived_cl962,plain,
    ! [X0: $o,X1: $o] :
      ( ~ X0
      | ~ ( sk_ @ '#l_lift1' )
      | ~ ( '#l_lift4' @ X0 )
      | ( '#l_lift4' @ X1 ) ),
    inference(clc,[status(thm)],[zip_derived_cl83,zip_derived_cl15]) ).

thf(zip_derived_cl4_019,plain,
    ! [X3: $o] :
      ~ ( '#l_lift3' @ X3 ),
    define([status(thm)]) ).

thf(zip_derived_cl15_020,plain,
    ! [X0: $o] :
      ( ~ ( sk_ @ '#l_lift3' )
      | ~ ( '#l_lift4' @ X0 ) ),
    inference(clausify_def,[status(thm)],[zip_derived_cl5]) ).

thf(zip_derived_cl14,plain,
    ! [X0: $o] :
      ( ( sk_ @ '#l_lift2' )
      | ( sk_ @ '#l_lift1' )
      | X0
      | ~ ( '#l_lift4' @ X0 ) ),
    inference(clausify_def,[status(thm)],[zip_derived_cl5]) ).

thf(zip_derived_cl6_021,plain,
    ~ ( sk_ @ '#l_lift4' ),
    inference(lambda_lifting,[status(thm)],[zip_derived_cl1,zip_derived_cl5,zip_derived_cl2,zip_derived_cl3,zip_derived_cl4]) ).

thf(zip_derived_cl129,plain,
    ! [X0: $o] :
      ( ( ( ^ [Y0: $o] : ( '#l_lift2' @ Y0 ) )
       != ( ^ [Y0: $o] : ( '#l_lift4' @ Y0 ) ) )
      | ~ ( '#l_lift4' @ X0 )
      | X0
      | ( sk_ @ '#l_lift1' ) ),
    inference(ext_sup,[status(thm)],[zip_derived_cl14,zip_derived_cl6]) ).

thf(zip_derived_cl170,plain,
    ! [X0: $o] :
      ( ( '#l_lift2' != '#l_lift4' )
      | ~ ( '#l_lift4' @ X0 )
      | X0
      | ( sk_ @ '#l_lift1' ) ),
    inference(ho_norm,[status(thm)],[zip_derived_cl129]) ).

thf(zip_derived_cl1205,plain,
    ! [X0: $o] :
      ( ( ( '#l_lift2' @ '#sk7' )
       != ( '#l_lift4' @ '#sk7' ) )
      | ~ ( '#l_lift4' @ X0 )
      | X0
      | ( sk_ @ '#l_lift1' ) ),
    inference(neg_ext,[status(thm)],[zip_derived_cl170]) ).

thf(zip_derived_cl3_022,plain,
    ! [X2: $o] : ( '#l_lift2' @ X2 ),
    define([status(thm)]) ).

thf(zip_derived_cl1208,plain,
    ! [X0: $o] :
      ( ~ ( '#l_lift4' @ '#sk7' )
      | ~ ( '#l_lift4' @ X0 )
      | X0
      | ( sk_ @ '#l_lift1' ) ),
    inference(demod,[status(thm)],[zip_derived_cl1205,zip_derived_cl3]) ).

thf(zip_derived_cl17_023,plain,
    ! [X0: $o] :
      ( ( '#l_lift4' @ X0 )
      | ( sk_ @ '#l_lift3' )
      | X0
      | ~ ( sk_ @ '#l_lift1' ) ),
    inference(clausify_def,[status(thm)],[zip_derived_cl5]) ).

thf(zip_derived_cl6_024,plain,
    ~ ( sk_ @ '#l_lift4' ),
    inference(lambda_lifting,[status(thm)],[zip_derived_cl1,zip_derived_cl5,zip_derived_cl2,zip_derived_cl3,zip_derived_cl4]) ).

thf(zip_derived_cl266,plain,
    ! [X0: $o] :
      ( ( ( ^ [Y0: $o] : ( '#l_lift3' @ Y0 ) )
       != ( ^ [Y0: $o] : ( '#l_lift4' @ Y0 ) ) )
      | ~ ( sk_ @ '#l_lift1' )
      | X0
      | ( '#l_lift4' @ X0 ) ),
    inference(ext_sup,[status(thm)],[zip_derived_cl17,zip_derived_cl6]) ).

thf(zip_derived_cl312,plain,
    ! [X0: $o] :
      ( ( '#l_lift3' != '#l_lift4' )
      | ~ ( sk_ @ '#l_lift1' )
      | X0
      | ( '#l_lift4' @ X0 ) ),
    inference(ho_norm,[status(thm)],[zip_derived_cl266]) ).

thf(zip_derived_cl797,plain,
    ! [X0: $o] :
      ( ( ( '#l_lift3' @ '#sk8' )
       != ( '#l_lift4' @ '#sk8' ) )
      | ~ ( sk_ @ '#l_lift1' )
      | X0
      | ( '#l_lift4' @ X0 ) ),
    inference(neg_ext,[status(thm)],[zip_derived_cl312]) ).

thf(zip_derived_cl4_025,plain,
    ! [X3: $o] :
      ~ ( '#l_lift3' @ X3 ),
    define([status(thm)]) ).

thf(zip_derived_cl800,plain,
    ! [X0: $o] :
      ( ( '#l_lift4' @ '#sk8' )
      | ~ ( sk_ @ '#l_lift1' )
      | X0
      | ( '#l_lift4' @ X0 ) ),
    inference(demod,[status(thm)],[zip_derived_cl797,zip_derived_cl4]) ).

thf(zip_derived_cl18,plain,
    ! [X0: $o] :
      ( ( '#l_lift4' @ X0 )
      | ( sk_ @ '#l_lift3' )
      | ~ X0
      | ( sk_ @ '#l_lift1' ) ),
    inference(clausify_def,[status(thm)],[zip_derived_cl5]) ).

thf(zip_derived_cl6_026,plain,
    ~ ( sk_ @ '#l_lift4' ),
    inference(lambda_lifting,[status(thm)],[zip_derived_cl1,zip_derived_cl5,zip_derived_cl2,zip_derived_cl3,zip_derived_cl4]) ).

thf(zip_derived_cl400,plain,
    ! [X0: $o] :
      ( ( ( ^ [Y0: $o] : ( '#l_lift3' @ Y0 ) )
       != ( ^ [Y0: $o] : ( '#l_lift4' @ Y0 ) ) )
      | ( sk_ @ '#l_lift1' )
      | ~ X0
      | ( '#l_lift4' @ X0 ) ),
    inference(ext_sup,[status(thm)],[zip_derived_cl18,zip_derived_cl6]) ).

thf(zip_derived_cl477,plain,
    ! [X0: $o] :
      ( ( '#l_lift3' != '#l_lift4' )
      | ( sk_ @ '#l_lift1' )
      | ~ X0
      | ( '#l_lift4' @ X0 ) ),
    inference(ho_norm,[status(thm)],[zip_derived_cl400]) ).

thf(zip_derived_cl21,plain,
    ! [X0: $o] :
      ( ~ X0
      | ~ ( '#l_lift1' @ X0 ) ),
    inference(clausify_def,[status(thm)],[zip_derived_cl2]) ).

thf(zip_derived_cl18_027,plain,
    ! [X0: $o] :
      ( ( '#l_lift4' @ X0 )
      | ( sk_ @ '#l_lift3' )
      | ~ X0
      | ( sk_ @ '#l_lift1' ) ),
    inference(clausify_def,[status(thm)],[zip_derived_cl5]) ).

thf(zip_derived_cl6_028,plain,
    ~ ( sk_ @ '#l_lift4' ),
    inference(lambda_lifting,[status(thm)],[zip_derived_cl1,zip_derived_cl5,zip_derived_cl2,zip_derived_cl3,zip_derived_cl4]) ).

thf(zip_derived_cl410,plain,
    ! [X0: $o] :
      ( ( ( ^ [Y0: $o] : ( '#l_lift1' @ Y0 ) )
       != ( ^ [Y0: $o] : ( '#l_lift4' @ Y0 ) ) )
      | ~ X0
      | ( sk_ @ '#l_lift3' )
      | ( '#l_lift4' @ X0 ) ),
    inference(ext_sup,[status(thm)],[zip_derived_cl18,zip_derived_cl6]) ).

thf(zip_derived_cl465,plain,
    ! [X0: $o] :
      ( ( '#l_lift1' != '#l_lift4' )
      | ~ X0
      | ( sk_ @ '#l_lift3' )
      | ( '#l_lift4' @ X0 ) ),
    inference(ho_norm,[status(thm)],[zip_derived_cl410]) ).

thf(zip_derived_cl6659,plain,
    $false,
    inference(eprover,[status(thm)],[zip_derived_cl115,zip_derived_cl114,zip_derived_cl54,zip_derived_cl55,zip_derived_cl1999,zip_derived_cl195,zip_derived_cl43,zip_derived_cl40,zip_derived_cl372,zip_derived_cl371,zip_derived_cl319,zip_derived_cl46,zip_derived_cl47,zip_derived_cl3,zip_derived_cl13,zip_derived_cl22,zip_derived_cl962,zip_derived_cl4,zip_derived_cl15,zip_derived_cl1208,zip_derived_cl800,zip_derived_cl477,zip_derived_cl21,zip_derived_cl465]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.07  % Problem  : SYO515^1 : TPTP v9.2.1. Bugfixed v9.2.1.
% 0.00/0.08  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.K0FRPodw9E true
% 0.09/0.27  % Computer : n024.cluster.edu
% 0.09/0.27  % Model    : x86_64 x86_64
% 0.09/0.27  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.27  % Memory   : 8042.1875MB
% 0.09/0.27  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.09/0.27  % CPULimit : 300
% 0.09/0.27  % WCLimit  : 300
% 0.09/0.27  % DateTime : Wed Feb 25 01:20:26 EST 2026
% 0.09/0.27  % CPUTime  : 
% 0.09/0.27  % Running portfolio for 300 s
% 0.09/0.27  % File         : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.29  % Number of cores: 8
% 0.11/0.36  % Python version: Python 3.6.8
% 0.11/0.36  % Running in HO mode
% 0.27/1.34  % Total configuration time : 828
% 0.27/1.34  % Estimated wc time : 1656
% 0.27/1.34  % Estimated cpu time (8 cpus) : 207.0
% 0.27/1.38  % /export/starexec/sandbox/solver/bin/lams/40_c.s.sh running for 80s
% 0.27/1.42  % /export/starexec/sandbox/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.27/1.42  % /export/starexec/sandbox/solver/bin/lams/40_noforms.sh running for 90s
% 0.27/1.42  % /export/starexec/sandbox/solver/bin/lams/40_c_ic.sh running for 80s
% 0.27/1.42  % /export/starexec/sandbox/solver/bin/lams/15_e_short1.sh running for 30s
% 0.27/1.42  % /export/starexec/sandbox/solver/bin/lams/40_b.comb.sh running for 70s
% 0.27/1.42  % /export/starexec/sandbox/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 0.27/1.43  % /export/starexec/sandbox/solver/bin/lams/30_sp5.sh running for 60s
% 0.27/1.45  % /export/starexec/sandbox/solver/bin/lams/30_b.l.sh running for 90s
% 0.27/1.46  % /export/starexec/sandbox/solver/bin/lams/35_full_unif.sh running for 56s
% 0.27/1.48  % /export/starexec/sandbox/solver/bin/lams/15_old_s4.sh running for 30s
% 0.27/1.48  % /export/starexec/sandbox/solver/bin/lams/15_lifting3.sh running for 30s
% 0.27/1.49  % /export/starexec/sandbox/solver/bin/lams/33_shallow_sine.sh running for 66s
% 0.27/1.50  % /export/starexec/sandbox/solver/bin/lams/40_e_lift.sh running for 80s
% 0.27/1.52  % /export/starexec/sandbox/solver/bin/lams/15_lifting1.sh running for 30s
% 0.27/1.54  % /export/starexec/sandbox/solver/bin/lams/8_new_cnf.sh running for 16s
% 0.27/1.55  % /export/starexec/sandbox/solver/bin/lams/10_e_short2.sh running for 20s
% 0.27/1.55  % /export/starexec/sandbox/solver/bin/lams/8_add_var_l_av.sh running for 16s
% 0.28/1.61  % /export/starexec/sandbox/solver/bin/lams/30_old_zip1.sh running for 36s
% 0.28/1.62  % /export/starexec/sandbox/solver/bin/lams/10_shallow_lift.sh running for 30s
% 0.28/1.63  % /export/starexec/sandbox/solver/bin/lams/8_new_sh_or.sh running for 16s
% 0.28/1.67  % /export/starexec/sandbox/solver/bin/lams/15_lcnf_noform.sh running for 30s
% 0.28/1.70  % /export/starexec/sandbox/solver/bin/lams/8_sh.eqenc2.sh running for 10s
% 0.28/1.79  % /export/starexec/sandbox/solver/bin/lams/8_cmb.lcnf4.sh running for 10s
% 0.28/1.94  % /export/starexec/sandbox/solver/bin/lams/8_new_l_av.sh running for 24s
% 0.28/2.00  % /export/starexec/sandbox/solver/bin/lams/10_forms1.sh running for 20s
% 5.39/2.04  % /export/starexec/sandbox/solver/bin/lams/10_forms4.sh running for 20s
% 5.39/2.09  % /export/starexec/sandbox/solver/bin/lams/15_ch_av2.sh running for 26s
% 5.39/2.09  % /export/starexec/sandbox/solver/bin/lams/15_sine_deep.sh running for 44s
% 6.59/2.20  % /export/starexec/sandbox/solver/bin/lams/10_shallow_sine.sh running for 30s
% 6.59/2.22  % /export/starexec/sandbox/solver/bin/lams/20_new_c.s3.sh running for 40s
% 6.59/2.26  % /export/starexec/sandbox/solver/bin/lams/10_forms2.sh running for 20s
% 6.59/2.27  % /export/starexec/sandbox/solver/bin/lams/8_sh.or.sh running for 24s
% 7.20/2.33  % /export/starexec/sandbox/solver/bin/lams/15_combs_pe.sh running for 20s
% 7.20/2.33  % /export/starexec/sandbox/solver/bin/lams/15_b.split.li.sh running for 44s
% 7.20/2.37  % /export/starexec/sandbox/solver/bin/lams/18_sh1.sh running for 36s
% 7.20/2.38  % /export/starexec/sandbox/solver/bin/lams/8_no_ord.sh running for 10s
% 7.20/2.39  % /export/starexec/sandbox/solver/bin/lams/10_forms3.sh running for 20s
% 8.04/2.44  % /export/starexec/sandbox/solver/bin/lams/8_unif0.sh running for 24s
% 8.04/2.47  % /export/starexec/sandbox/solver/bin/lams/8_lcnf_new_simp.sh running for 16s
% 8.04/2.47  % /export/starexec/sandbox/solver/bin/lams/10_32.sh running for 20s
% 8.58/2.52  % /export/starexec/sandbox/solver/bin/lams/8_b5.l2.sh running for 10s
% 8.58/2.53  % /export/starexec/sandbox/solver/bin/lams/8_s6.2.3.sh running for 10s
% 8.58/2.57  % /export/starexec/sandbox/solver/bin/lams/8_c.preprocess2.sh running for 22s
% 8.58/2.57  % /export/starexec/sandbox/solver/bin/lams/15_l_e.sh running for 30s
% 9.28/2.60  % /export/starexec/sandbox/solver/bin/lams/20_sh4.sh running for 30s
% 9.28/2.61  % /export/starexec/sandbox/solver/bin/lams/8_sh.eqenc.sh running for 10s
% 9.28/2.61  % /export/starexec/sandbox/solver/bin/lams/5_sp_new2.sh running for 10s
% 26.49/6.08  % Solved by lams/18_sh1.sh.
% 26.49/6.08  % done 805 iterations in 3.671s
% 26.49/6.08  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 26.49/6.08  % SZS output start Refutation
% See solution above
% 26.49/6.08  
% 26.49/6.08  
% 26.49/6.08  % Terminating...
% 26.98/6.14  % Runner terminated.
% 26.98/6.15  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------