TSTP Solution File: PRO009+4 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : PRO009+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.Azjjfx925j true

% Computer : n002.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 13:10:39 EDT 2023

% Result   : Theorem 1.27s 1.11s
% Output   : Refutation 1.27s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   17
%            Number of leaves      :   41
% Syntax   : Number of formulae    :  151 (  41 unt;  25 typ;   0 def)
%            Number of atoms       :  322 (  39 equ;   0 cnn)
%            Maximal formula atoms :    9 (   2 avg)
%            Number of connectives : 1069 ( 122   ~; 147   |;  33   &; 751   @)
%                                         (   4 <=>;  12  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   14 (   6 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   31 (  31   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   27 (  25 usr;   7 con; 0-3 aty)
%            Number of variables   :  152 (   0   ^; 138   !;  14   ?; 152   :)

% Comments : 
%------------------------------------------------------------------------------
thf(leaf_type,type,
    leaf: $i > $i > $o ).

thf(arboreal_type,type,
    arboreal: $i > $o ).

thf(tptp1_type,type,
    tptp1: $i ).

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

thf(activity_type,type,
    activity: $i > $o ).

thf(next_subocc_type,type,
    next_subocc: $i > $i > $i > $o ).

thf(legal_type,type,
    legal: $i > $o ).

thf(sk__14_type,type,
    sk__14: $i > $i ).

thf(sk__12_type,type,
    sk__12: $i > $i ).

thf(sk__13_type,type,
    sk__13: $i > $i ).

thf(root_type,type,
    root: $i > $i > $o ).

thf(sk__8_type,type,
    sk__8: $i > $i > $i ).

thf(occurrence_of_type,type,
    occurrence_of: $i > $i > $o ).

thf(activity_occurrence_type,type,
    activity_occurrence: $i > $o ).

thf(sk__15_type,type,
    sk__15: $i ).

thf(sk__4_type,type,
    sk__4: $i > $i ).

thf(tptp3_type,type,
    tptp3: $i ).

thf(tptp4_type,type,
    tptp4: $i ).

thf(min_precedes_type,type,
    min_precedes: $i > $i > $i > $o ).

thf(atomic_type,type,
    atomic: $i > $o ).

thf(tptp0_type,type,
    tptp0: $i ).

thf(leaf_occ_type,type,
    leaf_occ: $i > $i > $o ).

thf(tptp2_type,type,
    tptp2: $i ).

thf(root_occ_type,type,
    root_occ: $i > $i > $o ).

thf(subactivity_occurrence_type,type,
    subactivity_occurrence: $i > $i > $o ).

thf(goals,conjecture,
    ! [X105: $i] :
      ( ( occurrence_of @ X105 @ tptp0 )
     => ? [X106: $i,X107: $i] :
          ( ( leaf_occ @ X107 @ X105 )
          & ( min_precedes @ X106 @ X107 @ tptp0 )
          & ( ( occurrence_of @ X107 @ tptp1 )
            | ( occurrence_of @ X107 @ tptp2 ) )
          & ( root_occ @ X106 @ X105 )
          & ( occurrence_of @ X106 @ tptp3 ) ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ! [X105: $i] :
        ( ( occurrence_of @ X105 @ tptp0 )
       => ? [X106: $i,X107: $i] :
            ( ( leaf_occ @ X107 @ X105 )
            & ( min_precedes @ X106 @ X107 @ tptp0 )
            & ( ( occurrence_of @ X107 @ tptp1 )
              | ( occurrence_of @ X107 @ tptp2 ) )
            & ( root_occ @ X106 @ X105 )
            & ( occurrence_of @ X106 @ tptp3 ) ) ),
    inference('cnf.neg',[status(esa)],[goals]) ).

thf(zip_derived_cl79,plain,
    occurrence_of @ sk__15 @ tptp0,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(sos_32,axiom,
    ! [X101: $i] :
      ( ( occurrence_of @ X101 @ tptp0 )
     => ? [X102: $i,X103: $i,X104: $i] :
          ( ( leaf_occ @ X104 @ X101 )
          & ( next_subocc @ X103 @ X104 @ tptp0 )
          & ( ( occurrence_of @ X104 @ tptp1 )
            | ( occurrence_of @ X104 @ tptp2 ) )
          & ( next_subocc @ X102 @ X103 @ tptp0 )
          & ( occurrence_of @ X103 @ tptp4 )
          & ( root_occ @ X102 @ X101 )
          & ( occurrence_of @ X102 @ tptp3 ) ) ) ).

thf(zip_derived_cl66,plain,
    ! [X0: $i] :
      ( ( leaf_occ @ ( sk__14 @ X0 ) @ X0 )
      | ~ ( occurrence_of @ X0 @ tptp0 ) ),
    inference(cnf,[status(esa)],[sos_32]) ).

thf(zip_derived_cl200,plain,
    leaf_occ @ ( sk__14 @ sk__15 ) @ sk__15,
    inference('sup-',[status(thm)],[zip_derived_cl79,zip_derived_cl66]) ).

thf(sos_18,axiom,
    ! [X55: $i,X56: $i] :
      ( ( leaf_occ @ X55 @ X56 )
    <=> ? [X57: $i] :
          ( ( leaf @ X55 @ X57 )
          & ( subactivity_occurrence @ X55 @ X56 )
          & ( occurrence_of @ X56 @ X57 ) ) ) ).

thf(zip_derived_cl35,plain,
    ! [X0: $i,X1: $i] :
      ( ( leaf @ X0 @ ( sk__8 @ X1 @ X0 ) )
      | ~ ( leaf_occ @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[sos_18]) ).

thf(zip_derived_cl413,plain,
    leaf @ ( sk__14 @ sk__15 ) @ ( sk__8 @ sk__15 @ ( sk__14 @ sk__15 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl200,zip_derived_cl35]) ).

thf(zip_derived_cl200_001,plain,
    leaf_occ @ ( sk__14 @ sk__15 ) @ sk__15,
    inference('sup-',[status(thm)],[zip_derived_cl79,zip_derived_cl66]) ).

thf(zip_derived_cl34,plain,
    ! [X0: $i,X1: $i] :
      ( ( occurrence_of @ X0 @ ( sk__8 @ X0 @ X1 ) )
      | ~ ( leaf_occ @ X1 @ X0 ) ),
    inference(cnf,[status(esa)],[sos_18]) ).

thf(zip_derived_cl304,plain,
    occurrence_of @ sk__15 @ ( sk__8 @ sk__15 @ ( sk__14 @ sk__15 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl200,zip_derived_cl34]) ).

thf(zip_derived_cl79_002,plain,
    occurrence_of @ sk__15 @ tptp0,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(sos_08,axiom,
    ! [X28: $i,X29: $i,X30: $i] :
      ( ( ( occurrence_of @ X28 @ X29 )
        & ( occurrence_of @ X28 @ X30 ) )
     => ( X29 = X30 ) ) ).

thf(zip_derived_cl14,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( occurrence_of @ X0 @ X1 )
      | ~ ( occurrence_of @ X0 @ X2 )
      | ( X1 = X2 ) ),
    inference(cnf,[status(esa)],[sos_08]) ).

thf(zip_derived_cl117,plain,
    ! [X0: $i] :
      ( ( tptp0 = X0 )
      | ~ ( occurrence_of @ sk__15 @ X0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl79,zip_derived_cl14]) ).

thf(zip_derived_cl317,plain,
    ( tptp0
    = ( sk__8 @ sk__15 @ ( sk__14 @ sk__15 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl304,zip_derived_cl117]) ).

thf(zip_derived_cl414,plain,
    leaf @ ( sk__14 @ sk__15 ) @ tptp0,
    inference(demod,[status(thm)],[zip_derived_cl413,zip_derived_cl317]) ).

thf(zip_derived_cl79_003,plain,
    occurrence_of @ sk__15 @ tptp0,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl64,plain,
    ! [X0: $i] :
      ( ( occurrence_of @ ( sk__14 @ X0 ) @ tptp2 )
      | ( occurrence_of @ ( sk__14 @ X0 ) @ tptp1 )
      | ~ ( occurrence_of @ X0 @ tptp0 ) ),
    inference(cnf,[status(esa)],[sos_32]) ).

thf(zip_derived_cl575,plain,
    ( ( occurrence_of @ ( sk__14 @ sk__15 ) @ tptp1 )
    | ( occurrence_of @ ( sk__14 @ sk__15 ) @ tptp2 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl79,zip_derived_cl64]) ).

thf(zip_derived_cl200_004,plain,
    leaf_occ @ ( sk__14 @ sk__15 ) @ sk__15,
    inference('sup-',[status(thm)],[zip_derived_cl79,zip_derived_cl66]) ).

thf(sos_12,axiom,
    ! [X41: $i] :
      ( ( activity_occurrence @ X41 )
     => ? [X42: $i] :
          ( ( occurrence_of @ X41 @ X42 )
          & ( activity @ X42 ) ) ) ).

thf(zip_derived_cl19,plain,
    ! [X0: $i] :
      ( ( occurrence_of @ X0 @ ( sk__4 @ X0 ) )
      | ~ ( activity_occurrence @ X0 ) ),
    inference(cnf,[status(esa)],[sos_12]) ).

thf(zip_derived_cl19_005,plain,
    ! [X0: $i] :
      ( ( occurrence_of @ X0 @ ( sk__4 @ X0 ) )
      | ~ ( activity_occurrence @ X0 ) ),
    inference(cnf,[status(esa)],[sos_12]) ).

thf(sos,axiom,
    ! [X0: $i,X1: $i] :
      ( ( ( occurrence_of @ X1 @ X0 )
        & ~ ( atomic @ X0 ) )
     => ? [X2: $i] :
          ( ( subactivity_occurrence @ X2 @ X1 )
          & ( root @ X2 @ X0 ) ) ) ).

thf(zip_derived_cl0,plain,
    ! [X0: $i,X1: $i] :
      ( ( atomic @ X0 )
      | ~ ( occurrence_of @ X1 @ X0 )
      | ( root @ ( sk_ @ X1 @ X0 ) @ X0 ) ),
    inference(cnf,[status(esa)],[sos]) ).

thf(zip_derived_cl91,plain,
    ! [X0: $i] :
      ( ~ ( activity_occurrence @ X0 )
      | ( root @ ( sk_ @ X0 @ ( sk__4 @ X0 ) ) @ ( sk__4 @ X0 ) )
      | ( atomic @ ( sk__4 @ X0 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl19,zip_derived_cl0]) ).

thf(sos_17,axiom,
    ! [X53: $i,X54: $i] :
      ( ( root @ X53 @ X54 )
     => ( legal @ X53 ) ) ).

thf(zip_derived_cl32,plain,
    ! [X0: $i,X1: $i] :
      ( ( legal @ X0 )
      | ~ ( root @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[sos_17]) ).

thf(zip_derived_cl103,plain,
    ! [X0: $i] :
      ( ( atomic @ ( sk__4 @ X0 ) )
      | ~ ( activity_occurrence @ X0 )
      | ( legal @ ( sk_ @ X0 @ ( sk__4 @ X0 ) ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl91,zip_derived_cl32]) ).

thf(sos_13,axiom,
    ! [X43: $i] :
      ( ( legal @ X43 )
     => ( arboreal @ X43 ) ) ).

thf(zip_derived_cl21,plain,
    ! [X0: $i] :
      ( ( arboreal @ X0 )
      | ~ ( legal @ X0 ) ),
    inference(cnf,[status(esa)],[sos_13]) ).

thf(zip_derived_cl19_006,plain,
    ! [X0: $i] :
      ( ( occurrence_of @ X0 @ ( sk__4 @ X0 ) )
      | ~ ( activity_occurrence @ X0 ) ),
    inference(cnf,[status(esa)],[sos_12]) ).

thf(zip_derived_cl1,plain,
    ! [X0: $i,X1: $i] :
      ( ( atomic @ X0 )
      | ~ ( occurrence_of @ X1 @ X0 )
      | ( subactivity_occurrence @ ( sk_ @ X1 @ X0 ) @ X1 ) ),
    inference(cnf,[status(esa)],[sos]) ).

thf(zip_derived_cl94,plain,
    ! [X0: $i] :
      ( ~ ( activity_occurrence @ X0 )
      | ( subactivity_occurrence @ ( sk_ @ X0 @ ( sk__4 @ X0 ) ) @ X0 )
      | ( atomic @ ( sk__4 @ X0 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl19,zip_derived_cl1]) ).

thf(sos_02,axiom,
    ! [X8: $i,X9: $i,X10: $i,X11: $i] :
      ( ( ( occurrence_of @ X9 @ X8 )
        & ( subactivity_occurrence @ X10 @ X9 )
        & ( leaf_occ @ X11 @ X9 )
        & ( arboreal @ X10 )
        & ~ ( min_precedes @ X10 @ X11 @ X8 ) )
     => ( X11 = X10 ) ) ).

thf(zip_derived_cl3,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ~ ( arboreal @ X0 )
      | ~ ( subactivity_occurrence @ X0 @ X1 )
      | ~ ( occurrence_of @ X1 @ X2 )
      | ~ ( leaf_occ @ X3 @ X1 )
      | ( min_precedes @ X0 @ X3 @ X2 )
      | ( X3 = X0 ) ),
    inference(cnf,[status(esa)],[sos_02]) ).

thf(zip_derived_cl172,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( atomic @ ( sk__4 @ X0 ) )
      | ~ ( activity_occurrence @ X0 )
      | ( X1
        = ( sk_ @ X0 @ ( sk__4 @ X0 ) ) )
      | ( min_precedes @ ( sk_ @ X0 @ ( sk__4 @ X0 ) ) @ X1 @ X2 )
      | ~ ( leaf_occ @ X1 @ X0 )
      | ~ ( occurrence_of @ X0 @ X2 )
      | ~ ( arboreal @ ( sk_ @ X0 @ ( sk__4 @ X0 ) ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl94,zip_derived_cl3]) ).

thf(sos_03,axiom,
    ! [X12: $i,X13: $i] :
      ( ( occurrence_of @ X13 @ X12 )
     => ( ( activity @ X12 )
        & ( activity_occurrence @ X13 ) ) ) ).

thf(zip_derived_cl5,plain,
    ! [X0: $i,X1: $i] :
      ( ( activity_occurrence @ X0 )
      | ~ ( occurrence_of @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[sos_03]) ).

thf(zip_derived_cl174,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( arboreal @ ( sk_ @ X0 @ ( sk__4 @ X0 ) ) )
      | ~ ( occurrence_of @ X0 @ X2 )
      | ~ ( leaf_occ @ X1 @ X0 )
      | ( min_precedes @ ( sk_ @ X0 @ ( sk__4 @ X0 ) ) @ X1 @ X2 )
      | ( X1
        = ( sk_ @ X0 @ ( sk__4 @ X0 ) ) )
      | ( atomic @ ( sk__4 @ X0 ) ) ),
    inference(clc,[status(thm)],[zip_derived_cl172,zip_derived_cl5]) ).

thf(zip_derived_cl175,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( legal @ ( sk_ @ X0 @ ( sk__4 @ X0 ) ) )
      | ( atomic @ ( sk__4 @ X0 ) )
      | ( X1
        = ( sk_ @ X0 @ ( sk__4 @ X0 ) ) )
      | ( min_precedes @ ( sk_ @ X0 @ ( sk__4 @ X0 ) ) @ X1 @ X2 )
      | ~ ( leaf_occ @ X1 @ X0 )
      | ~ ( occurrence_of @ X0 @ X2 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl21,zip_derived_cl174]) ).

thf(zip_derived_cl182,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( activity_occurrence @ X0 )
      | ( atomic @ ( sk__4 @ X0 ) )
      | ~ ( occurrence_of @ X0 @ X1 )
      | ~ ( leaf_occ @ X2 @ X0 )
      | ( min_precedes @ ( sk_ @ X0 @ ( sk__4 @ X0 ) ) @ X2 @ X1 )
      | ( X2
        = ( sk_ @ X0 @ ( sk__4 @ X0 ) ) )
      | ( atomic @ ( sk__4 @ X0 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl103,zip_derived_cl175]) ).

thf(zip_derived_cl186,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( X2
        = ( sk_ @ X0 @ ( sk__4 @ X0 ) ) )
      | ( min_precedes @ ( sk_ @ X0 @ ( sk__4 @ X0 ) ) @ X2 @ X1 )
      | ~ ( leaf_occ @ X2 @ X0 )
      | ~ ( occurrence_of @ X0 @ X1 )
      | ( atomic @ ( sk__4 @ X0 ) )
      | ~ ( activity_occurrence @ X0 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl182]) ).

thf(zip_derived_cl5_007,plain,
    ! [X0: $i,X1: $i] :
      ( ( activity_occurrence @ X0 )
      | ~ ( occurrence_of @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[sos_03]) ).

thf(zip_derived_cl190,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( atomic @ ( sk__4 @ X0 ) )
      | ~ ( occurrence_of @ X0 @ X1 )
      | ~ ( leaf_occ @ X2 @ X0 )
      | ( min_precedes @ ( sk_ @ X0 @ ( sk__4 @ X0 ) ) @ X2 @ X1 )
      | ( X2
        = ( sk_ @ X0 @ ( sk__4 @ X0 ) ) ) ),
    inference(clc,[status(thm)],[zip_derived_cl186,zip_derived_cl5]) ).

thf(zip_derived_cl191,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( activity_occurrence @ X0 )
      | ( X1
        = ( sk_ @ X0 @ ( sk__4 @ X0 ) ) )
      | ( min_precedes @ ( sk_ @ X0 @ ( sk__4 @ X0 ) ) @ X1 @ ( sk__4 @ X0 ) )
      | ~ ( leaf_occ @ X1 @ X0 )
      | ( atomic @ ( sk__4 @ X0 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl19,zip_derived_cl190]) ).

thf(zip_derived_cl202,plain,
    ( ( atomic @ ( sk__4 @ sk__15 ) )
    | ( min_precedes @ ( sk_ @ sk__15 @ ( sk__4 @ sk__15 ) ) @ ( sk__14 @ sk__15 ) @ ( sk__4 @ sk__15 ) )
    | ( ( sk__14 @ sk__15 )
      = ( sk_ @ sk__15 @ ( sk__4 @ sk__15 ) ) )
    | ~ ( activity_occurrence @ sk__15 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl200,zip_derived_cl191]) ).

thf(zip_derived_cl79_008,plain,
    occurrence_of @ sk__15 @ tptp0,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl19_009,plain,
    ! [X0: $i] :
      ( ( occurrence_of @ X0 @ ( sk__4 @ X0 ) )
      | ~ ( activity_occurrence @ X0 ) ),
    inference(cnf,[status(esa)],[sos_12]) ).

thf(zip_derived_cl14_010,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( occurrence_of @ X0 @ X1 )
      | ~ ( occurrence_of @ X0 @ X2 )
      | ( X1 = X2 ) ),
    inference(cnf,[status(esa)],[sos_08]) ).

thf(zip_derived_cl114,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( activity_occurrence @ X0 )
      | ( ( sk__4 @ X0 )
        = X1 )
      | ~ ( occurrence_of @ X0 @ X1 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl19,zip_derived_cl14]) ).

thf(zip_derived_cl5_011,plain,
    ! [X0: $i,X1: $i] :
      ( ( activity_occurrence @ X0 )
      | ~ ( occurrence_of @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[sos_03]) ).

thf(zip_derived_cl119,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( occurrence_of @ X0 @ X1 )
      | ( ( sk__4 @ X0 )
        = X1 ) ),
    inference(clc,[status(thm)],[zip_derived_cl114,zip_derived_cl5]) ).

thf(zip_derived_cl123,plain,
    ( ( sk__4 @ sk__15 )
    = tptp0 ),
    inference('sup-',[status(thm)],[zip_derived_cl79,zip_derived_cl119]) ).

thf(sos_34,axiom,
    ~ ( atomic @ tptp0 ) ).

thf(zip_derived_cl68,plain,
    ~ ( atomic @ tptp0 ),
    inference(cnf,[status(esa)],[sos_34]) ).

thf(zip_derived_cl123_012,plain,
    ( ( sk__4 @ sk__15 )
    = tptp0 ),
    inference('sup-',[status(thm)],[zip_derived_cl79,zip_derived_cl119]) ).

thf(zip_derived_cl123_013,plain,
    ( ( sk__4 @ sk__15 )
    = tptp0 ),
    inference('sup-',[status(thm)],[zip_derived_cl79,zip_derived_cl119]) ).

thf(zip_derived_cl123_014,plain,
    ( ( sk__4 @ sk__15 )
    = tptp0 ),
    inference('sup-',[status(thm)],[zip_derived_cl79,zip_derived_cl119]) ).

thf(zip_derived_cl79_015,plain,
    occurrence_of @ sk__15 @ tptp0,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl5_016,plain,
    ! [X0: $i,X1: $i] :
      ( ( activity_occurrence @ X0 )
      | ~ ( occurrence_of @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[sos_03]) ).

thf(zip_derived_cl85,plain,
    activity_occurrence @ sk__15,
    inference('sup-',[status(thm)],[zip_derived_cl79,zip_derived_cl5]) ).

thf(zip_derived_cl203,plain,
    ( ( min_precedes @ ( sk_ @ sk__15 @ tptp0 ) @ ( sk__14 @ sk__15 ) @ tptp0 )
    | ( ( sk__14 @ sk__15 )
      = ( sk_ @ sk__15 @ tptp0 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl202,zip_derived_cl123,zip_derived_cl68,zip_derived_cl123,zip_derived_cl123,zip_derived_cl123,zip_derived_cl85]) ).

thf(zip_derived_cl94_017,plain,
    ! [X0: $i] :
      ( ~ ( activity_occurrence @ X0 )
      | ( subactivity_occurrence @ ( sk_ @ X0 @ ( sk__4 @ X0 ) ) @ X0 )
      | ( atomic @ ( sk__4 @ X0 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl19,zip_derived_cl1]) ).

thf(zip_derived_cl91_018,plain,
    ! [X0: $i] :
      ( ~ ( activity_occurrence @ X0 )
      | ( root @ ( sk_ @ X0 @ ( sk__4 @ X0 ) ) @ ( sk__4 @ X0 ) )
      | ( atomic @ ( sk__4 @ X0 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl19,zip_derived_cl0]) ).

thf(zip_derived_cl19_019,plain,
    ! [X0: $i] :
      ( ( occurrence_of @ X0 @ ( sk__4 @ X0 ) )
      | ~ ( activity_occurrence @ X0 ) ),
    inference(cnf,[status(esa)],[sos_12]) ).

thf(sos_19,axiom,
    ! [X58: $i,X59: $i] :
      ( ( root_occ @ X58 @ X59 )
    <=> ? [X60: $i] :
          ( ( root @ X58 @ X60 )
          & ( subactivity_occurrence @ X58 @ X59 )
          & ( occurrence_of @ X59 @ X60 ) ) ) ).

thf(zip_derived_cl40,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( root_occ @ X0 @ X1 )
      | ~ ( occurrence_of @ X1 @ X2 )
      | ~ ( root @ X0 @ X2 )
      | ~ ( subactivity_occurrence @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[sos_19]) ).

thf(zip_derived_cl1259,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( activity_occurrence @ X0 )
      | ~ ( subactivity_occurrence @ X1 @ X0 )
      | ~ ( root @ X1 @ ( sk__4 @ X0 ) )
      | ( root_occ @ X1 @ X0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl19,zip_derived_cl40]) ).

thf(sos_11,axiom,
    ! [X39: $i,X40: $i] :
      ( ( subactivity_occurrence @ X39 @ X40 )
     => ( ( activity_occurrence @ X39 )
        & ( activity_occurrence @ X40 ) ) ) ).

thf(zip_derived_cl18,plain,
    ! [X0: $i,X1: $i] :
      ( ( activity_occurrence @ X0 )
      | ~ ( subactivity_occurrence @ X1 @ X0 ) ),
    inference(cnf,[status(esa)],[sos_11]) ).

thf(zip_derived_cl1271,plain,
    ! [X0: $i,X1: $i] :
      ( ( root_occ @ X1 @ X0 )
      | ~ ( root @ X1 @ ( sk__4 @ X0 ) )
      | ~ ( subactivity_occurrence @ X1 @ X0 ) ),
    inference(clc,[status(thm)],[zip_derived_cl1259,zip_derived_cl18]) ).

thf(zip_derived_cl1272,plain,
    ! [X0: $i] :
      ( ( atomic @ ( sk__4 @ X0 ) )
      | ~ ( activity_occurrence @ X0 )
      | ~ ( subactivity_occurrence @ ( sk_ @ X0 @ ( sk__4 @ X0 ) ) @ X0 )
      | ( root_occ @ ( sk_ @ X0 @ ( sk__4 @ X0 ) ) @ X0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl91,zip_derived_cl1271]) ).

thf(zip_derived_cl18_020,plain,
    ! [X0: $i,X1: $i] :
      ( ( activity_occurrence @ X0 )
      | ~ ( subactivity_occurrence @ X1 @ X0 ) ),
    inference(cnf,[status(esa)],[sos_11]) ).

thf(zip_derived_cl1280,plain,
    ! [X0: $i] :
      ( ( root_occ @ ( sk_ @ X0 @ ( sk__4 @ X0 ) ) @ X0 )
      | ~ ( subactivity_occurrence @ ( sk_ @ X0 @ ( sk__4 @ X0 ) ) @ X0 )
      | ( atomic @ ( sk__4 @ X0 ) ) ),
    inference(clc,[status(thm)],[zip_derived_cl1272,zip_derived_cl18]) ).

thf(zip_derived_cl1281,plain,
    ! [X0: $i] :
      ( ( atomic @ ( sk__4 @ X0 ) )
      | ~ ( activity_occurrence @ X0 )
      | ( atomic @ ( sk__4 @ X0 ) )
      | ( root_occ @ ( sk_ @ X0 @ ( sk__4 @ X0 ) ) @ X0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl94,zip_derived_cl1280]) ).

thf(zip_derived_cl1289,plain,
    ! [X0: $i] :
      ( ( root_occ @ ( sk_ @ X0 @ ( sk__4 @ X0 ) ) @ X0 )
      | ~ ( activity_occurrence @ X0 )
      | ( atomic @ ( sk__4 @ X0 ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl1281]) ).

thf(zip_derived_cl79_021,plain,
    occurrence_of @ sk__15 @ tptp0,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl79_022,plain,
    occurrence_of @ sk__15 @ tptp0,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl62,plain,
    ! [X0: $i] :
      ( ( root_occ @ ( sk__12 @ X0 ) @ X0 )
      | ~ ( occurrence_of @ X0 @ tptp0 ) ),
    inference(cnf,[status(esa)],[sos_32]) ).

thf(zip_derived_cl198,plain,
    root_occ @ ( sk__12 @ sk__15 ) @ sk__15,
    inference('sup-',[status(thm)],[zip_derived_cl79,zip_derived_cl62]) ).

thf(sos_29,axiom,
    ! [X90: $i,X91: $i,X92: $i,X93: $i] :
      ( ( ( occurrence_of @ X92 @ X93 )
        & ( root_occ @ X90 @ X92 )
        & ( root_occ @ X91 @ X92 ) )
     => ( X90 = X91 ) ) ).

thf(zip_derived_cl57,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ( X1 = X0 )
      | ~ ( root_occ @ X0 @ X2 )
      | ~ ( root_occ @ X1 @ X2 )
      | ~ ( occurrence_of @ X2 @ X3 ) ),
    inference(cnf,[status(esa)],[sos_29]) ).

thf(zip_derived_cl360,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( occurrence_of @ sk__15 @ X0 )
      | ~ ( root_occ @ X1 @ sk__15 )
      | ( X1
        = ( sk__12 @ sk__15 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl198,zip_derived_cl57]) ).

thf(zip_derived_cl368,plain,
    ! [X0: $i] :
      ( ( X0
        = ( sk__12 @ sk__15 ) )
      | ~ ( root_occ @ X0 @ sk__15 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl79,zip_derived_cl360]) ).

thf(zip_derived_cl1300,plain,
    ( ( atomic @ ( sk__4 @ sk__15 ) )
    | ~ ( activity_occurrence @ sk__15 )
    | ( ( sk_ @ sk__15 @ ( sk__4 @ sk__15 ) )
      = ( sk__12 @ sk__15 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl1289,zip_derived_cl368]) ).

thf(zip_derived_cl123_023,plain,
    ( ( sk__4 @ sk__15 )
    = tptp0 ),
    inference('sup-',[status(thm)],[zip_derived_cl79,zip_derived_cl119]) ).

thf(zip_derived_cl68_024,plain,
    ~ ( atomic @ tptp0 ),
    inference(cnf,[status(esa)],[sos_34]) ).

thf(zip_derived_cl85_025,plain,
    activity_occurrence @ sk__15,
    inference('sup-',[status(thm)],[zip_derived_cl79,zip_derived_cl5]) ).

thf(zip_derived_cl123_026,plain,
    ( ( sk__4 @ sk__15 )
    = tptp0 ),
    inference('sup-',[status(thm)],[zip_derived_cl79,zip_derived_cl119]) ).

thf(zip_derived_cl1317,plain,
    ( ( sk_ @ sk__15 @ tptp0 )
    = ( sk__12 @ sk__15 ) ),
    inference(demod,[status(thm)],[zip_derived_cl1300,zip_derived_cl123,zip_derived_cl68,zip_derived_cl85,zip_derived_cl123]) ).

thf(zip_derived_cl1317_027,plain,
    ( ( sk_ @ sk__15 @ tptp0 )
    = ( sk__12 @ sk__15 ) ),
    inference(demod,[status(thm)],[zip_derived_cl1300,zip_derived_cl123,zip_derived_cl68,zip_derived_cl85,zip_derived_cl123]) ).

thf(zip_derived_cl1329,plain,
    ( ( min_precedes @ ( sk__12 @ sk__15 ) @ ( sk__14 @ sk__15 ) @ tptp0 )
    | ( ( sk__14 @ sk__15 )
      = ( sk__12 @ sk__15 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl203,zip_derived_cl1317,zip_derived_cl1317]) ).

thf(zip_derived_cl198_028,plain,
    root_occ @ ( sk__12 @ sk__15 ) @ sk__15,
    inference('sup-',[status(thm)],[zip_derived_cl79,zip_derived_cl62]) ).

thf(zip_derived_cl80,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( root_occ @ X0 @ sk__15 )
      | ~ ( occurrence_of @ X0 @ tptp3 )
      | ~ ( occurrence_of @ X1 @ tptp1 )
      | ~ ( min_precedes @ X0 @ X1 @ tptp0 )
      | ~ ( leaf_occ @ X1 @ sk__15 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl389,plain,
    ! [X0: $i] :
      ( ~ ( leaf_occ @ X0 @ sk__15 )
      | ~ ( min_precedes @ ( sk__12 @ sk__15 ) @ X0 @ tptp0 )
      | ~ ( occurrence_of @ X0 @ tptp1 )
      | ~ ( occurrence_of @ ( sk__12 @ sk__15 ) @ tptp3 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl198,zip_derived_cl80]) ).

thf(zip_derived_cl79_029,plain,
    occurrence_of @ sk__15 @ tptp0,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl63,plain,
    ! [X0: $i] :
      ( ( occurrence_of @ ( sk__12 @ X0 ) @ tptp3 )
      | ~ ( occurrence_of @ X0 @ tptp0 ) ),
    inference(cnf,[status(esa)],[sos_32]) ).

thf(zip_derived_cl86,plain,
    occurrence_of @ ( sk__12 @ sk__15 ) @ tptp3,
    inference('sup-',[status(thm)],[zip_derived_cl79,zip_derived_cl63]) ).

thf(zip_derived_cl390,plain,
    ! [X0: $i] :
      ( ~ ( leaf_occ @ X0 @ sk__15 )
      | ~ ( min_precedes @ ( sk__12 @ sk__15 ) @ X0 @ tptp0 )
      | ~ ( occurrence_of @ X0 @ tptp1 ) ),
    inference(demod,[status(thm)],[zip_derived_cl389,zip_derived_cl86]) ).

thf(zip_derived_cl2384,plain,
    ( ( ( sk__14 @ sk__15 )
      = ( sk__12 @ sk__15 ) )
    | ~ ( occurrence_of @ ( sk__14 @ sk__15 ) @ tptp1 )
    | ~ ( leaf_occ @ ( sk__14 @ sk__15 ) @ sk__15 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl1329,zip_derived_cl390]) ).

thf(zip_derived_cl200_030,plain,
    leaf_occ @ ( sk__14 @ sk__15 ) @ sk__15,
    inference('sup-',[status(thm)],[zip_derived_cl79,zip_derived_cl66]) ).

thf(zip_derived_cl2387,plain,
    ( ( ( sk__14 @ sk__15 )
      = ( sk__12 @ sk__15 ) )
    | ~ ( occurrence_of @ ( sk__14 @ sk__15 ) @ tptp1 ) ),
    inference(demod,[status(thm)],[zip_derived_cl2384,zip_derived_cl200]) ).

thf(zip_derived_cl2393,plain,
    ( ( occurrence_of @ ( sk__14 @ sk__15 ) @ tptp2 )
    | ( ( sk__14 @ sk__15 )
      = ( sk__12 @ sk__15 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl575,zip_derived_cl2387]) ).

thf(zip_derived_cl1329_031,plain,
    ( ( min_precedes @ ( sk__12 @ sk__15 ) @ ( sk__14 @ sk__15 ) @ tptp0 )
    | ( ( sk__14 @ sk__15 )
      = ( sk__12 @ sk__15 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl203,zip_derived_cl1317,zip_derived_cl1317]) ).

thf(zip_derived_cl198_032,plain,
    root_occ @ ( sk__12 @ sk__15 ) @ sk__15,
    inference('sup-',[status(thm)],[zip_derived_cl79,zip_derived_cl62]) ).

thf(zip_derived_cl81,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( root_occ @ X0 @ sk__15 )
      | ~ ( occurrence_of @ X0 @ tptp3 )
      | ~ ( occurrence_of @ X1 @ tptp2 )
      | ~ ( min_precedes @ X0 @ X1 @ tptp0 )
      | ~ ( leaf_occ @ X1 @ sk__15 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl391,plain,
    ! [X0: $i] :
      ( ~ ( leaf_occ @ X0 @ sk__15 )
      | ~ ( min_precedes @ ( sk__12 @ sk__15 ) @ X0 @ tptp0 )
      | ~ ( occurrence_of @ X0 @ tptp2 )
      | ~ ( occurrence_of @ ( sk__12 @ sk__15 ) @ tptp3 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl198,zip_derived_cl81]) ).

thf(zip_derived_cl86_033,plain,
    occurrence_of @ ( sk__12 @ sk__15 ) @ tptp3,
    inference('sup-',[status(thm)],[zip_derived_cl79,zip_derived_cl63]) ).

thf(zip_derived_cl392,plain,
    ! [X0: $i] :
      ( ~ ( leaf_occ @ X0 @ sk__15 )
      | ~ ( min_precedes @ ( sk__12 @ sk__15 ) @ X0 @ tptp0 )
      | ~ ( occurrence_of @ X0 @ tptp2 ) ),
    inference(demod,[status(thm)],[zip_derived_cl391,zip_derived_cl86]) ).

thf(zip_derived_cl2385,plain,
    ( ( ( sk__14 @ sk__15 )
      = ( sk__12 @ sk__15 ) )
    | ~ ( occurrence_of @ ( sk__14 @ sk__15 ) @ tptp2 )
    | ~ ( leaf_occ @ ( sk__14 @ sk__15 ) @ sk__15 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl1329,zip_derived_cl392]) ).

thf(zip_derived_cl200_034,plain,
    leaf_occ @ ( sk__14 @ sk__15 ) @ sk__15,
    inference('sup-',[status(thm)],[zip_derived_cl79,zip_derived_cl66]) ).

thf(zip_derived_cl2388,plain,
    ( ( ( sk__14 @ sk__15 )
      = ( sk__12 @ sk__15 ) )
    | ~ ( occurrence_of @ ( sk__14 @ sk__15 ) @ tptp2 ) ),
    inference(demod,[status(thm)],[zip_derived_cl2385,zip_derived_cl200]) ).

thf(zip_derived_cl3278,plain,
    ( ( sk__14 @ sk__15 )
    = ( sk__12 @ sk__15 ) ),
    inference(clc,[status(thm)],[zip_derived_cl2393,zip_derived_cl2388]) ).

thf(zip_derived_cl79_035,plain,
    occurrence_of @ sk__15 @ tptp0,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl60,plain,
    ! [X0: $i] :
      ( ( next_subocc @ ( sk__12 @ X0 ) @ ( sk__13 @ X0 ) @ tptp0 )
      | ~ ( occurrence_of @ X0 @ tptp0 ) ),
    inference(cnf,[status(esa)],[sos_32]) ).

thf(zip_derived_cl263,plain,
    next_subocc @ ( sk__12 @ sk__15 ) @ ( sk__13 @ sk__15 ) @ tptp0,
    inference('sup-',[status(thm)],[zip_derived_cl79,zip_derived_cl60]) ).

thf(sos_26,axiom,
    ! [X78: $i,X79: $i,X80: $i] :
      ( ( next_subocc @ X78 @ X79 @ X80 )
    <=> ( ( min_precedes @ X78 @ X79 @ X80 )
        & ~ ? [X81: $i] :
              ( ( min_precedes @ X81 @ X79 @ X80 )
              & ( min_precedes @ X78 @ X81 @ X80 ) ) ) ) ).

thf(zip_derived_cl51,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( min_precedes @ X0 @ X1 @ X2 )
      | ~ ( next_subocc @ X0 @ X1 @ X2 ) ),
    inference(cnf,[status(esa)],[sos_26]) ).

thf(zip_derived_cl362,plain,
    min_precedes @ ( sk__12 @ sk__15 ) @ ( sk__13 @ sk__15 ) @ tptp0,
    inference('sup-',[status(thm)],[zip_derived_cl263,zip_derived_cl51]) ).

thf(sos_15,axiom,
    ! [X47: $i,X48: $i] :
      ( ( leaf @ X47 @ X48 )
    <=> ( ( ( root @ X47 @ X48 )
          | ? [X49: $i] : ( min_precedes @ X49 @ X47 @ X48 ) )
        & ~ ? [X50: $i] : ( min_precedes @ X47 @ X50 @ X48 ) ) ) ).

thf(zip_derived_cl27,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( min_precedes @ X0 @ X1 @ X2 )
      | ~ ( leaf @ X0 @ X2 ) ),
    inference(cnf,[status(esa)],[sos_15]) ).

thf(zip_derived_cl394,plain,
    ~ ( leaf @ ( sk__12 @ sk__15 ) @ tptp0 ),
    inference('sup-',[status(thm)],[zip_derived_cl362,zip_derived_cl27]) ).

thf(zip_derived_cl3284,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl414,zip_derived_cl3278,zip_derived_cl394]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : PRO009+4 : TPTP v8.1.2. Released v4.0.0.
% 0.11/0.13  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.Azjjfx925j true
% 0.13/0.34  % Computer : n002.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 300
% 0.13/0.34  % DateTime : Mon Aug 28 19:47:04 EDT 2023
% 0.13/0.34  % CPUTime  : 
% 0.13/0.34  % Running portfolio for 300 s
% 0.13/0.34  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.34  % Number of cores: 8
% 0.13/0.35  % Python version: Python 3.6.8
% 0.13/0.35  % Running in FO mode
% 0.19/0.64  % Total configuration time : 435
% 0.19/0.64  % Estimated wc time : 1092
% 0.19/0.64  % Estimated cpu time (7 cpus) : 156.0
% 0.19/0.69  % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 1.04/0.73  % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 1.04/0.74  % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 1.04/0.75  % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 1.04/0.75  % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 1.04/0.75  % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 1.04/0.75  % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 1.27/1.11  % Solved by fo/fo5.sh.
% 1.27/1.11  % done 451 iterations in 0.341s
% 1.27/1.11  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 1.27/1.11  % SZS output start Refutation
% See solution above
% 1.27/1.11  
% 1.27/1.11  
% 1.27/1.11  % Terminating...
% 1.27/1.16  % Runner terminated.
% 1.27/1.16  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------