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Zipperpin---2.1.9999.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : PRO018+4 : TPTP v9.2.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.ZRxCxrau67 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 : Thu Oct  2 04:49:25 PM UTC 2025

% Result   : Theorem 0.57s 1.04s
% Output   : Refutation 0.57s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   21
%            Number of leaves      :    9
% Syntax   : Number of formulae    :  117 (  44 unt;   0 typ;   0 def)
%            Number of atoms       :  321 (  29 equ;   0 cnn)
%            Maximal formula atoms :   16 (   2 avg)
%            Number of connectives : 1204 ( 136   ~; 153   |;  37   &; 864   @)
%                                         (   2 <=>;  12  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   16 (   7 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   20 (  18 usr;   8 con; 0-3 aty)
%            Number of variables   :  127 (   0   ^; 113   !;  14   ?; 127   :)

% Comments : 
%------------------------------------------------------------------------------
thf(sk__7_type,type,
    sk__7: $i ).

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

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

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

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

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

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

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

thf(sk__3_type,type,
    sk__3: $i > $i ).

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

thf(sk__5_type,type,
    sk__5: $i > $i ).

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

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

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

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

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

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

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

thf(goals,conjecture,
    ! [X107: $i,X108: $i] :
      ( ( ( occurrence_of @ X108 @ tptp0 )
        & ( subactivity_occurrence @ X107 @ X108 )
        & ( arboreal @ X107 )
        & ~ ( leaf_occ @ X107 @ X108 ) )
     => ? [X109: $i,X110: $i] :
          ( ( ( occurrence_of @ X110 @ tptp2 )
           => ~ ? [X112: $i] :
                  ( ( min_precedes @ X109 @ X112 @ tptp0 )
                  & ( occurrence_of @ X112 @ tptp1 ) ) )
          & ( ( occurrence_of @ X110 @ tptp1 )
           => ~ ? [X111: $i] :
                  ( ( min_precedes @ X109 @ X111 @ tptp0 )
                  & ( occurrence_of @ X111 @ tptp2 ) ) )
          & ( leaf_occ @ X110 @ X108 )
          & ( min_precedes @ X109 @ X110 @ tptp0 )
          & ( ( occurrence_of @ X110 @ tptp2 )
            | ( occurrence_of @ X110 @ tptp1 ) )
          & ( next_subocc @ X107 @ X109 @ tptp0 )
          & ( occurrence_of @ X109 @ tptp3 ) ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ! [X107: $i,X108: $i] :
        ( ( ( occurrence_of @ X108 @ tptp0 )
          & ( subactivity_occurrence @ X107 @ X108 )
          & ( arboreal @ X107 )
          & ~ ( leaf_occ @ X107 @ X108 ) )
       => ? [X109: $i,X110: $i] :
            ( ( ( occurrence_of @ X110 @ tptp2 )
             => ~ ? [X112: $i] :
                    ( ( min_precedes @ X109 @ X112 @ tptp0 )
                    & ( occurrence_of @ X112 @ tptp1 ) ) )
            & ( ( occurrence_of @ X110 @ tptp1 )
             => ~ ? [X111: $i] :
                    ( ( min_precedes @ X109 @ X111 @ tptp0 )
                    & ( occurrence_of @ X111 @ tptp2 ) ) )
            & ( leaf_occ @ X110 @ X108 )
            & ( min_precedes @ X109 @ X110 @ tptp0 )
            & ( ( occurrence_of @ X110 @ tptp2 )
              | ( occurrence_of @ X110 @ tptp1 ) )
            & ( next_subocc @ X107 @ X109 @ tptp0 )
            & ( occurrence_of @ X109 @ tptp3 ) ) ),
    inference('cnf.neg',[status(esa)],[goals]) ).

thf(zip_derived_cl56,plain,
    subactivity_occurrence @ sk__6 @ sk__7,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl57,plain,
    occurrence_of @ sk__7 @ tptp0,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(sos_32,axiom,
    ! [X101: $i,X102: $i] :
      ( ( ( occurrence_of @ X102 @ tptp0 )
        & ( subactivity_occurrence @ X101 @ X102 )
        & ( arboreal @ X101 )
        & ~ ( leaf_occ @ X101 @ X102 ) )
     => ? [X103: $i,X104: $i,X105: $i] :
          ( ! [X106: $i] :
              ( ( min_precedes @ X103 @ X106 @ tptp0 )
             => ( ( X106 = X104 )
                | ( X106 = X105 ) ) )
          & ( min_precedes @ X104 @ X105 @ tptp0 )
          & ( ( occurrence_of @ X105 @ tptp2 )
            | ( occurrence_of @ X105 @ tptp1 ) )
          & ( min_precedes @ X103 @ X104 @ tptp0 )
          & ( occurrence_of @ X104 @ tptp4 )
          & ( next_subocc @ X101 @ X103 @ tptp0 )
          & ( occurrence_of @ X103 @ tptp3 ) ) ) ).

thf(zip_derived_cl24,plain,
    ! [X0: $i,X1: $i] :
      ( ( min_precedes @ ( sk__4 @ X0 ) @ ( sk__5 @ X0 ) @ tptp0 )
      | ~ ( arboreal @ X0 )
      | ~ ( occurrence_of @ X1 @ tptp0 )
      | ~ ( subactivity_occurrence @ X0 @ X1 )
      | ( leaf_occ @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[sos_32]) ).

thf(zip_derived_cl213,plain,
    ! [X0: $i] :
      ( ( leaf_occ @ X0 @ sk__7 )
      | ~ ( subactivity_occurrence @ X0 @ sk__7 )
      | ~ ( arboreal @ X0 )
      | ( min_precedes @ ( sk__4 @ X0 ) @ ( sk__5 @ X0 ) @ tptp0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl57,zip_derived_cl24]) ).

thf(zip_derived_cl215,plain,
    ( ( min_precedes @ ( sk__4 @ sk__6 ) @ ( sk__5 @ sk__6 ) @ tptp0 )
    | ~ ( arboreal @ sk__6 )
    | ( leaf_occ @ sk__6 @ sk__7 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl56,zip_derived_cl213]) ).

thf(zip_derived_cl58,plain,
    arboreal @ sk__6,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl55,plain,
    ~ ( leaf_occ @ sk__6 @ sk__7 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl216,plain,
    min_precedes @ ( sk__4 @ sk__6 ) @ ( sk__5 @ sk__6 ) @ tptp0,
    inference(demod,[status(thm)],[zip_derived_cl215,zip_derived_cl58,zip_derived_cl55]) ).

thf(sos_06,axiom,
    ! [X21: $i,X22: $i,X23: $i] :
      ( ( min_precedes @ X22 @ X23 @ X21 )
     => ? [X24: $i] :
          ( ( subactivity_occurrence @ X23 @ X24 )
          & ( subactivity_occurrence @ X22 @ X24 )
          & ( occurrence_of @ X24 @ X21 ) ) ) ).

thf(zip_derived_cl6,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( occurrence_of @ ( sk__1 @ X0 @ X1 @ X2 ) @ X2 )
      | ~ ( min_precedes @ X1 @ X0 @ X2 ) ),
    inference(cnf,[status(esa)],[sos_06]) ).

thf(zip_derived_cl56_001,plain,
    subactivity_occurrence @ sk__6 @ sk__7,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl57_002,plain,
    occurrence_of @ sk__7 @ tptp0,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl21,plain,
    ! [X0: $i,X1: $i] :
      ( ( next_subocc @ X0 @ ( sk__3 @ X0 ) @ tptp0 )
      | ~ ( arboreal @ X0 )
      | ~ ( occurrence_of @ X1 @ tptp0 )
      | ~ ( subactivity_occurrence @ X0 @ X1 )
      | ( leaf_occ @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[sos_32]) ).

thf(zip_derived_cl130,plain,
    ! [X0: $i] :
      ( ( leaf_occ @ X0 @ sk__7 )
      | ~ ( subactivity_occurrence @ X0 @ sk__7 )
      | ~ ( arboreal @ X0 )
      | ( next_subocc @ X0 @ ( sk__3 @ X0 ) @ tptp0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl57,zip_derived_cl21]) ).

thf(zip_derived_cl132,plain,
    ( ( next_subocc @ sk__6 @ ( sk__3 @ sk__6 ) @ tptp0 )
    | ~ ( arboreal @ sk__6 )
    | ( leaf_occ @ sk__6 @ sk__7 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl56,zip_derived_cl130]) ).

thf(zip_derived_cl58_003,plain,
    arboreal @ sk__6,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl55_004,plain,
    ~ ( leaf_occ @ sk__6 @ sk__7 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl133,plain,
    next_subocc @ sk__6 @ ( sk__3 @ sk__6 ) @ tptp0,
    inference(demod,[status(thm)],[zip_derived_cl132,zip_derived_cl58,zip_derived_cl55]) ).

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_cl13,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_cl135,plain,
    min_precedes @ sk__6 @ ( sk__3 @ sk__6 ) @ tptp0,
    inference('sup-',[status(thm)],[zip_derived_cl133,zip_derived_cl13]) ).

thf(zip_derived_cl4,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( subactivity_occurrence @ X0 @ ( sk__1 @ X0 @ X1 @ X2 ) )
      | ~ ( min_precedes @ X1 @ X0 @ X2 ) ),
    inference(cnf,[status(esa)],[sos_06]) ).

thf(zip_derived_cl6_005,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( occurrence_of @ ( sk__1 @ X0 @ X1 @ X2 ) @ X2 )
      | ~ ( min_precedes @ X1 @ X0 @ X2 ) ),
    inference(cnf,[status(esa)],[sos_06]) ).

thf(zip_derived_cl22,plain,
    ! [X0: $i,X1: $i] :
      ( ( occurrence_of @ ( sk__3 @ X0 ) @ tptp3 )
      | ~ ( arboreal @ X0 )
      | ~ ( occurrence_of @ X1 @ tptp0 )
      | ~ ( subactivity_occurrence @ X0 @ X1 )
      | ( leaf_occ @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[sos_32]) ).

thf(zip_derived_cl91,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( min_precedes @ X0 @ X1 @ tptp0 )
      | ( leaf_occ @ X2 @ ( sk__1 @ X1 @ X0 @ tptp0 ) )
      | ~ ( subactivity_occurrence @ X2 @ ( sk__1 @ X1 @ X0 @ tptp0 ) )
      | ~ ( arboreal @ X2 )
      | ( occurrence_of @ ( sk__3 @ X2 ) @ tptp3 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl6,zip_derived_cl22]) ).

thf(zip_derived_cl107,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( min_precedes @ X0 @ X1 @ tptp0 )
      | ( occurrence_of @ ( sk__3 @ X1 ) @ tptp3 )
      | ~ ( arboreal @ X1 )
      | ( leaf_occ @ X1 @ ( sk__1 @ X1 @ X0 @ tptp0 ) )
      | ~ ( min_precedes @ X0 @ X1 @ tptp0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl4,zip_derived_cl91]) ).

thf(zip_derived_cl109,plain,
    ! [X0: $i,X1: $i] :
      ( ( leaf_occ @ X1 @ ( sk__1 @ X1 @ X0 @ tptp0 ) )
      | ~ ( arboreal @ X1 )
      | ( occurrence_of @ ( sk__3 @ X1 ) @ tptp3 )
      | ~ ( min_precedes @ X0 @ X1 @ tptp0 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl107]) ).

thf(zip_derived_cl143,plain,
    ( ( occurrence_of @ ( sk__3 @ ( sk__3 @ sk__6 ) ) @ tptp3 )
    | ~ ( arboreal @ ( sk__3 @ sk__6 ) )
    | ( leaf_occ @ ( sk__3 @ sk__6 ) @ ( sk__1 @ ( sk__3 @ sk__6 ) @ sk__6 @ tptp0 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl135,zip_derived_cl109]) ).

thf(zip_derived_cl56_006,plain,
    subactivity_occurrence @ sk__6 @ sk__7,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl57_007,plain,
    occurrence_of @ sk__7 @ tptp0,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl22_008,plain,
    ! [X0: $i,X1: $i] :
      ( ( occurrence_of @ ( sk__3 @ X0 ) @ tptp3 )
      | ~ ( arboreal @ X0 )
      | ~ ( occurrence_of @ X1 @ tptp0 )
      | ~ ( subactivity_occurrence @ X0 @ X1 )
      | ( leaf_occ @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[sos_32]) ).

thf(zip_derived_cl92,plain,
    ! [X0: $i] :
      ( ( leaf_occ @ X0 @ sk__7 )
      | ~ ( subactivity_occurrence @ X0 @ sk__7 )
      | ~ ( arboreal @ X0 )
      | ( occurrence_of @ ( sk__3 @ X0 ) @ tptp3 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl57,zip_derived_cl22]) ).

thf(zip_derived_cl94,plain,
    ( ( occurrence_of @ ( sk__3 @ sk__6 ) @ tptp3 )
    | ~ ( arboreal @ sk__6 )
    | ( leaf_occ @ sk__6 @ sk__7 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl56,zip_derived_cl92]) ).

thf(zip_derived_cl58_009,plain,
    arboreal @ sk__6,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl55_010,plain,
    ~ ( leaf_occ @ sk__6 @ sk__7 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl95,plain,
    occurrence_of @ ( sk__3 @ sk__6 ) @ tptp3,
    inference(demod,[status(thm)],[zip_derived_cl94,zip_derived_cl58,zip_derived_cl55]) ).

thf(sos_16,axiom,
    ! [X51: $i,X52: $i] :
      ( ( occurrence_of @ X51 @ X52 )
     => ( ( arboreal @ X51 )
      <=> ( atomic @ X52 ) ) ) ).

thf(zip_derived_cl9,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( atomic @ X0 )
      | ( arboreal @ X1 )
      | ~ ( occurrence_of @ X1 @ X0 ) ),
    inference(cnf,[status(esa)],[sos_16]) ).

thf(zip_derived_cl98,plain,
    ( ( arboreal @ ( sk__3 @ sk__6 ) )
    | ~ ( atomic @ tptp3 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl95,zip_derived_cl9]) ).

thf(sos_38,axiom,
    atomic @ tptp3 ).

thf(zip_derived_cl30,plain,
    atomic @ tptp3,
    inference(cnf,[status(esa)],[sos_38]) ).

thf(zip_derived_cl103,plain,
    arboreal @ ( sk__3 @ sk__6 ),
    inference(demod,[status(thm)],[zip_derived_cl98,zip_derived_cl30]) ).

thf(zip_derived_cl147,plain,
    ( ( occurrence_of @ ( sk__3 @ ( sk__3 @ sk__6 ) ) @ tptp3 )
    | ( leaf_occ @ ( sk__3 @ sk__6 ) @ ( sk__1 @ ( sk__3 @ sk__6 ) @ sk__6 @ tptp0 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl143,zip_derived_cl103]) ).

thf(zip_derived_cl56_011,plain,
    subactivity_occurrence @ sk__6 @ sk__7,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl57_012,plain,
    occurrence_of @ sk__7 @ tptp0,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl19,plain,
    ! [X0: $i,X1: $i] :
      ( ( min_precedes @ ( sk__3 @ X0 ) @ ( sk__4 @ X0 ) @ tptp0 )
      | ~ ( arboreal @ X0 )
      | ~ ( occurrence_of @ X1 @ tptp0 )
      | ~ ( subactivity_occurrence @ X0 @ X1 )
      | ( leaf_occ @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[sos_32]) ).

thf(zip_derived_cl174,plain,
    ! [X0: $i] :
      ( ( leaf_occ @ X0 @ sk__7 )
      | ~ ( subactivity_occurrence @ X0 @ sk__7 )
      | ~ ( arboreal @ X0 )
      | ( min_precedes @ ( sk__3 @ X0 ) @ ( sk__4 @ X0 ) @ tptp0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl57,zip_derived_cl19]) ).

thf(zip_derived_cl192,plain,
    ( ( min_precedes @ ( sk__3 @ sk__6 ) @ ( sk__4 @ sk__6 ) @ tptp0 )
    | ~ ( arboreal @ sk__6 )
    | ( leaf_occ @ sk__6 @ sk__7 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl56,zip_derived_cl174]) ).

thf(zip_derived_cl58_013,plain,
    arboreal @ sk__6,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl55_014,plain,
    ~ ( leaf_occ @ sk__6 @ sk__7 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl193,plain,
    min_precedes @ ( sk__3 @ sk__6 ) @ ( sk__4 @ sk__6 ) @ tptp0,
    inference(demod,[status(thm)],[zip_derived_cl192,zip_derived_cl58,zip_derived_cl55]) ).

thf(sos_09,axiom,
    ! [X31: $i,X32: $i,X33: $i] :
      ( ( ( occurrence_of @ X31 @ X33 )
        & ( leaf_occ @ X32 @ X31 ) )
     => ~ ? [X34: $i] : ( min_precedes @ X32 @ X34 @ X33 ) ) ).

thf(zip_derived_cl8,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ~ ( leaf_occ @ X0 @ X1 )
      | ~ ( occurrence_of @ X1 @ X2 )
      | ~ ( min_precedes @ X0 @ X3 @ X2 ) ),
    inference(cnf,[status(esa)],[sos_09]) ).

thf(zip_derived_cl223,plain,
    ! [X0: $i] :
      ( ~ ( occurrence_of @ X0 @ tptp0 )
      | ~ ( leaf_occ @ ( sk__3 @ sk__6 ) @ X0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl193,zip_derived_cl8]) ).

thf(zip_derived_cl247,plain,
    ( ( occurrence_of @ ( sk__3 @ ( sk__3 @ sk__6 ) ) @ tptp3 )
    | ~ ( occurrence_of @ ( sk__1 @ ( sk__3 @ sk__6 ) @ sk__6 @ tptp0 ) @ tptp0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl147,zip_derived_cl223]) ).

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

thf(zip_derived_cl7,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_cl271,plain,
    ! [X0: $i] :
      ( ~ ( occurrence_of @ ( sk__1 @ ( sk__3 @ sk__6 ) @ sk__6 @ tptp0 ) @ tptp0 )
      | ( tptp3 = X0 )
      | ~ ( occurrence_of @ ( sk__3 @ ( sk__3 @ sk__6 ) ) @ X0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl247,zip_derived_cl7]) ).

thf(zip_derived_cl357,plain,
    ! [X0: $i] :
      ( ~ ( min_precedes @ sk__6 @ ( sk__3 @ sk__6 ) @ tptp0 )
      | ~ ( occurrence_of @ ( sk__3 @ ( sk__3 @ sk__6 ) ) @ X0 )
      | ( tptp3 = X0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl6,zip_derived_cl271]) ).

thf(zip_derived_cl135_015,plain,
    min_precedes @ sk__6 @ ( sk__3 @ sk__6 ) @ tptp0,
    inference('sup-',[status(thm)],[zip_derived_cl133,zip_derived_cl13]) ).

thf(zip_derived_cl359,plain,
    ! [X0: $i] :
      ( ~ ( occurrence_of @ ( sk__3 @ ( sk__3 @ sk__6 ) ) @ X0 )
      | ( tptp3 = X0 ) ),
    inference(demod,[status(thm)],[zip_derived_cl357,zip_derived_cl135]) ).

thf(zip_derived_cl56_016,plain,
    subactivity_occurrence @ sk__6 @ sk__7,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl6_017,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( occurrence_of @ ( sk__1 @ X0 @ X1 @ X2 ) @ X2 )
      | ~ ( min_precedes @ X1 @ X0 @ X2 ) ),
    inference(cnf,[status(esa)],[sos_06]) ).

thf(zip_derived_cl135_018,plain,
    min_precedes @ sk__6 @ ( sk__3 @ sk__6 ) @ tptp0,
    inference('sup-',[status(thm)],[zip_derived_cl133,zip_derived_cl13]) ).

thf(zip_derived_cl4_019,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( subactivity_occurrence @ X0 @ ( sk__1 @ X0 @ X1 @ X2 ) )
      | ~ ( min_precedes @ X1 @ X0 @ X2 ) ),
    inference(cnf,[status(esa)],[sos_06]) ).

thf(zip_derived_cl6_020,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( occurrence_of @ ( sk__1 @ X0 @ X1 @ X2 ) @ X2 )
      | ~ ( min_precedes @ X1 @ X0 @ X2 ) ),
    inference(cnf,[status(esa)],[sos_06]) ).

thf(zip_derived_cl21_021,plain,
    ! [X0: $i,X1: $i] :
      ( ( next_subocc @ X0 @ ( sk__3 @ X0 ) @ tptp0 )
      | ~ ( arboreal @ X0 )
      | ~ ( occurrence_of @ X1 @ tptp0 )
      | ~ ( subactivity_occurrence @ X0 @ X1 )
      | ( leaf_occ @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[sos_32]) ).

thf(zip_derived_cl129,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( min_precedes @ X0 @ X1 @ tptp0 )
      | ( leaf_occ @ X2 @ ( sk__1 @ X1 @ X0 @ tptp0 ) )
      | ~ ( subactivity_occurrence @ X2 @ ( sk__1 @ X1 @ X0 @ tptp0 ) )
      | ~ ( arboreal @ X2 )
      | ( next_subocc @ X2 @ ( sk__3 @ X2 ) @ tptp0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl6,zip_derived_cl21]) ).

thf(zip_derived_cl157,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( min_precedes @ X0 @ X1 @ tptp0 )
      | ( next_subocc @ X1 @ ( sk__3 @ X1 ) @ tptp0 )
      | ~ ( arboreal @ X1 )
      | ( leaf_occ @ X1 @ ( sk__1 @ X1 @ X0 @ tptp0 ) )
      | ~ ( min_precedes @ X0 @ X1 @ tptp0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl4,zip_derived_cl129]) ).

thf(zip_derived_cl159,plain,
    ! [X0: $i,X1: $i] :
      ( ( leaf_occ @ X1 @ ( sk__1 @ X1 @ X0 @ tptp0 ) )
      | ~ ( arboreal @ X1 )
      | ( next_subocc @ X1 @ ( sk__3 @ X1 ) @ tptp0 )
      | ~ ( min_precedes @ X0 @ X1 @ tptp0 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl157]) ).

thf(zip_derived_cl161,plain,
    ( ( next_subocc @ ( sk__3 @ sk__6 ) @ ( sk__3 @ ( sk__3 @ sk__6 ) ) @ tptp0 )
    | ~ ( arboreal @ ( sk__3 @ sk__6 ) )
    | ( leaf_occ @ ( sk__3 @ sk__6 ) @ ( sk__1 @ ( sk__3 @ sk__6 ) @ sk__6 @ tptp0 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl135,zip_derived_cl159]) ).

thf(zip_derived_cl103_022,plain,
    arboreal @ ( sk__3 @ sk__6 ),
    inference(demod,[status(thm)],[zip_derived_cl98,zip_derived_cl30]) ).

thf(zip_derived_cl162,plain,
    ( ( next_subocc @ ( sk__3 @ sk__6 ) @ ( sk__3 @ ( sk__3 @ sk__6 ) ) @ tptp0 )
    | ( leaf_occ @ ( sk__3 @ sk__6 ) @ ( sk__1 @ ( sk__3 @ sk__6 ) @ sk__6 @ tptp0 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl161,zip_derived_cl103]) ).

thf(zip_derived_cl223_023,plain,
    ! [X0: $i] :
      ( ~ ( occurrence_of @ X0 @ tptp0 )
      | ~ ( leaf_occ @ ( sk__3 @ sk__6 ) @ X0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl193,zip_derived_cl8]) ).

thf(zip_derived_cl248,plain,
    ( ( next_subocc @ ( sk__3 @ sk__6 ) @ ( sk__3 @ ( sk__3 @ sk__6 ) ) @ tptp0 )
    | ~ ( occurrence_of @ ( sk__1 @ ( sk__3 @ sk__6 ) @ sk__6 @ tptp0 ) @ tptp0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl162,zip_derived_cl223]) ).

thf(zip_derived_cl13_024,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_cl282,plain,
    ( ~ ( occurrence_of @ ( sk__1 @ ( sk__3 @ sk__6 ) @ sk__6 @ tptp0 ) @ tptp0 )
    | ( min_precedes @ ( sk__3 @ sk__6 ) @ ( sk__3 @ ( sk__3 @ sk__6 ) ) @ tptp0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl248,zip_derived_cl13]) ).

thf(zip_derived_cl25,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( min_precedes @ ( sk__3 @ X0 ) @ X1 @ tptp0 )
      | ( X1
        = ( sk__4 @ X0 ) )
      | ( X1
        = ( sk__5 @ X0 ) )
      | ~ ( arboreal @ X0 )
      | ~ ( occurrence_of @ X2 @ tptp0 )
      | ~ ( subactivity_occurrence @ X0 @ X2 )
      | ( leaf_occ @ X0 @ X2 ) ),
    inference(cnf,[status(esa)],[sos_32]) ).

thf(zip_derived_cl302,plain,
    ! [X0: $i] :
      ( ~ ( occurrence_of @ ( sk__1 @ ( sk__3 @ sk__6 ) @ sk__6 @ tptp0 ) @ tptp0 )
      | ( leaf_occ @ sk__6 @ X0 )
      | ~ ( subactivity_occurrence @ sk__6 @ X0 )
      | ~ ( occurrence_of @ X0 @ tptp0 )
      | ~ ( arboreal @ sk__6 )
      | ( ( sk__3 @ ( sk__3 @ sk__6 ) )
        = ( sk__5 @ sk__6 ) )
      | ( ( sk__3 @ ( sk__3 @ sk__6 ) )
        = ( sk__4 @ sk__6 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl282,zip_derived_cl25]) ).

thf(zip_derived_cl58_025,plain,
    arboreal @ sk__6,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl314,plain,
    ! [X0: $i] :
      ( ~ ( occurrence_of @ ( sk__1 @ ( sk__3 @ sk__6 ) @ sk__6 @ tptp0 ) @ tptp0 )
      | ( leaf_occ @ sk__6 @ X0 )
      | ~ ( subactivity_occurrence @ sk__6 @ X0 )
      | ~ ( occurrence_of @ X0 @ tptp0 )
      | ( ( sk__3 @ ( sk__3 @ sk__6 ) )
        = ( sk__5 @ sk__6 ) )
      | ( ( sk__3 @ ( sk__3 @ sk__6 ) )
        = ( sk__4 @ sk__6 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl302,zip_derived_cl58]) ).

thf(zip_derived_cl135_026,plain,
    min_precedes @ sk__6 @ ( sk__3 @ sk__6 ) @ tptp0,
    inference('sup-',[status(thm)],[zip_derived_cl133,zip_derived_cl13]) ).

thf(zip_derived_cl8_027,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ~ ( leaf_occ @ X0 @ X1 )
      | ~ ( occurrence_of @ X1 @ X2 )
      | ~ ( min_precedes @ X0 @ X3 @ X2 ) ),
    inference(cnf,[status(esa)],[sos_09]) ).

thf(zip_derived_cl138,plain,
    ! [X0: $i] :
      ( ~ ( occurrence_of @ X0 @ tptp0 )
      | ~ ( leaf_occ @ sk__6 @ X0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl135,zip_derived_cl8]) ).

thf(zip_derived_cl877,plain,
    ! [X0: $i] :
      ( ( ( sk__3 @ ( sk__3 @ sk__6 ) )
        = ( sk__4 @ sk__6 ) )
      | ( ( sk__3 @ ( sk__3 @ sk__6 ) )
        = ( sk__5 @ sk__6 ) )
      | ~ ( occurrence_of @ X0 @ tptp0 )
      | ~ ( subactivity_occurrence @ sk__6 @ X0 )
      | ~ ( occurrence_of @ ( sk__1 @ ( sk__3 @ sk__6 ) @ sk__6 @ tptp0 ) @ tptp0 ) ),
    inference(clc,[status(thm)],[zip_derived_cl314,zip_derived_cl138]) ).

thf(zip_derived_cl878,plain,
    ! [X0: $i] :
      ( ~ ( min_precedes @ sk__6 @ ( sk__3 @ sk__6 ) @ tptp0 )
      | ~ ( subactivity_occurrence @ sk__6 @ X0 )
      | ~ ( occurrence_of @ X0 @ tptp0 )
      | ( ( sk__3 @ ( sk__3 @ sk__6 ) )
        = ( sk__5 @ sk__6 ) )
      | ( ( sk__3 @ ( sk__3 @ sk__6 ) )
        = ( sk__4 @ sk__6 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl6,zip_derived_cl877]) ).

thf(zip_derived_cl135_028,plain,
    min_precedes @ sk__6 @ ( sk__3 @ sk__6 ) @ tptp0,
    inference('sup-',[status(thm)],[zip_derived_cl133,zip_derived_cl13]) ).

thf(zip_derived_cl879,plain,
    ! [X0: $i] :
      ( ~ ( subactivity_occurrence @ sk__6 @ X0 )
      | ~ ( occurrence_of @ X0 @ tptp0 )
      | ( ( sk__3 @ ( sk__3 @ sk__6 ) )
        = ( sk__5 @ sk__6 ) )
      | ( ( sk__3 @ ( sk__3 @ sk__6 ) )
        = ( sk__4 @ sk__6 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl878,zip_derived_cl135]) ).

thf(zip_derived_cl884,plain,
    ( ( ( sk__3 @ ( sk__3 @ sk__6 ) )
      = ( sk__4 @ sk__6 ) )
    | ( ( sk__3 @ ( sk__3 @ sk__6 ) )
      = ( sk__5 @ sk__6 ) )
    | ~ ( occurrence_of @ sk__7 @ tptp0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl56,zip_derived_cl879]) ).

thf(zip_derived_cl57_029,plain,
    occurrence_of @ sk__7 @ tptp0,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl887,plain,
    ( ( ( sk__3 @ ( sk__3 @ sk__6 ) )
      = ( sk__4 @ sk__6 ) )
    | ( ( sk__3 @ ( sk__3 @ sk__6 ) )
      = ( sk__5 @ sk__6 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl884,zip_derived_cl57]) ).

thf(zip_derived_cl56_030,plain,
    subactivity_occurrence @ sk__6 @ sk__7,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl57_031,plain,
    occurrence_of @ sk__7 @ tptp0,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl20,plain,
    ! [X0: $i,X1: $i] :
      ( ( occurrence_of @ ( sk__4 @ X0 ) @ tptp4 )
      | ~ ( arboreal @ X0 )
      | ~ ( occurrence_of @ X1 @ tptp0 )
      | ~ ( subactivity_occurrence @ X0 @ X1 )
      | ( leaf_occ @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[sos_32]) ).

thf(zip_derived_cl114,plain,
    ! [X0: $i] :
      ( ( leaf_occ @ X0 @ sk__7 )
      | ~ ( subactivity_occurrence @ X0 @ sk__7 )
      | ~ ( arboreal @ X0 )
      | ( occurrence_of @ ( sk__4 @ X0 ) @ tptp4 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl57,zip_derived_cl20]) ).

thf(zip_derived_cl116,plain,
    ( ( occurrence_of @ ( sk__4 @ sk__6 ) @ tptp4 )
    | ~ ( arboreal @ sk__6 )
    | ( leaf_occ @ sk__6 @ sk__7 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl56,zip_derived_cl114]) ).

thf(zip_derived_cl58_032,plain,
    arboreal @ sk__6,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl55_033,plain,
    ~ ( leaf_occ @ sk__6 @ sk__7 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl117,plain,
    occurrence_of @ ( sk__4 @ sk__6 ) @ tptp4,
    inference(demod,[status(thm)],[zip_derived_cl116,zip_derived_cl58,zip_derived_cl55]) ).

thf(zip_derived_cl888,plain,
    ( ( occurrence_of @ ( sk__3 @ ( sk__3 @ sk__6 ) ) @ tptp4 )
    | ( ( sk__3 @ ( sk__3 @ sk__6 ) )
      = ( sk__5 @ sk__6 ) ) ),
    inference('sup+',[status(thm)],[zip_derived_cl887,zip_derived_cl117]) ).

thf(zip_derived_cl994,plain,
    ( ( tptp3 = tptp4 )
    | ( ( sk__3 @ ( sk__3 @ sk__6 ) )
      = ( sk__5 @ sk__6 ) ) ),
    inference('sup+',[status(thm)],[zip_derived_cl359,zip_derived_cl888]) ).

thf(sos_39,axiom,
    tptp4 != tptp3 ).

thf(zip_derived_cl31,plain,
    tptp4 != tptp3,
    inference(cnf,[status(esa)],[sos_39]) ).

thf(zip_derived_cl995,plain,
    ( ( sk__3 @ ( sk__3 @ sk__6 ) )
    = ( sk__5 @ sk__6 ) ),
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl994,zip_derived_cl31]) ).

thf(zip_derived_cl6_034,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( occurrence_of @ ( sk__1 @ X0 @ X1 @ X2 ) @ X2 )
      | ~ ( min_precedes @ X1 @ X0 @ X2 ) ),
    inference(cnf,[status(esa)],[sos_06]) ).

thf(zip_derived_cl248_035,plain,
    ( ( next_subocc @ ( sk__3 @ sk__6 ) @ ( sk__3 @ ( sk__3 @ sk__6 ) ) @ tptp0 )
    | ~ ( occurrence_of @ ( sk__1 @ ( sk__3 @ sk__6 ) @ sk__6 @ tptp0 ) @ tptp0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl162,zip_derived_cl223]) ).

thf(zip_derived_cl193_036,plain,
    min_precedes @ ( sk__3 @ sk__6 ) @ ( sk__4 @ sk__6 ) @ tptp0,
    inference(demod,[status(thm)],[zip_derived_cl192,zip_derived_cl58,zip_derived_cl55]) ).

thf(zip_derived_cl14,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ~ ( min_precedes @ X0 @ X1 @ X2 )
      | ~ ( min_precedes @ X1 @ X3 @ X2 )
      | ~ ( next_subocc @ X0 @ X3 @ X2 ) ),
    inference(cnf,[status(esa)],[sos_26]) ).

thf(zip_derived_cl224,plain,
    ! [X0: $i] :
      ( ~ ( next_subocc @ ( sk__3 @ sk__6 ) @ X0 @ tptp0 )
      | ~ ( min_precedes @ ( sk__4 @ sk__6 ) @ X0 @ tptp0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl193,zip_derived_cl14]) ).

thf(zip_derived_cl349,plain,
    ( ~ ( occurrence_of @ ( sk__1 @ ( sk__3 @ sk__6 ) @ sk__6 @ tptp0 ) @ tptp0 )
    | ~ ( min_precedes @ ( sk__4 @ sk__6 ) @ ( sk__3 @ ( sk__3 @ sk__6 ) ) @ tptp0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl248,zip_derived_cl224]) ).

thf(zip_derived_cl350,plain,
    ( ~ ( min_precedes @ sk__6 @ ( sk__3 @ sk__6 ) @ tptp0 )
    | ~ ( min_precedes @ ( sk__4 @ sk__6 ) @ ( sk__3 @ ( sk__3 @ sk__6 ) ) @ tptp0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl6,zip_derived_cl349]) ).

thf(zip_derived_cl135_037,plain,
    min_precedes @ sk__6 @ ( sk__3 @ sk__6 ) @ tptp0,
    inference('sup-',[status(thm)],[zip_derived_cl133,zip_derived_cl13]) ).

thf(zip_derived_cl351,plain,
    ~ ( min_precedes @ ( sk__4 @ sk__6 ) @ ( sk__3 @ ( sk__3 @ sk__6 ) ) @ tptp0 ),
    inference(demod,[status(thm)],[zip_derived_cl350,zip_derived_cl135]) ).

thf(zip_derived_cl1001,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl216,zip_derived_cl995,zip_derived_cl351]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.13  % Problem  : PRO018+4 : TPTP v9.2.0. Released v4.0.0.
% 0.11/0.14  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.ZRxCxrau67 true
% 0.13/0.35  % Computer : n024.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit : 300
% 0.13/0.35  % WCLimit  : 300
% 0.13/0.35  % DateTime : Wed Oct  1 10:53:53 EDT 2025
% 0.13/0.36  % CPUTime  : 
% 0.13/0.36  % Running portfolio for 300 s
% 0.13/0.36  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.36  % Number of cores: 8
% 0.13/0.36  % Python version: Python 3.6.8
% 0.13/0.36  % Running in FO mode
% 0.53/0.62  % Total configuration time : 435
% 0.53/0.62  % Estimated wc time : 1092
% 0.53/0.62  % Estimated cpu time (7 cpus) : 156.0
% 0.56/0.71  % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.56/0.71  % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.56/0.72  % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.57/0.74  % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.57/0.74  % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.57/0.75  % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.57/0.76  % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 0.57/1.04  % Solved by fo/fo4.sh.
% 0.57/1.04  % done 312 iterations in 0.262s
% 0.57/1.04  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.57/1.04  % SZS output start Refutation
% See solution above
% 0.57/1.04  
% 0.57/1.04  
% 0.57/1.04  % Terminating...
% 0.61/1.14  % Runner terminated.
% 0.61/1.15  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------