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Zipperpin---2.1.9999.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : PRO016+3 : TPTP v9.2.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.nN7YzoYiYs true

% Computer : n007.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 04:49:23 PM UTC 2025

% Result   : Theorem 17.43s 2.96s
% Output   : Refutation 17.43s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   31
%            Number of leaves      :   14
% Syntax   : Number of formulae    :  117 (  60 unt;   0 typ;   0 def)
%            Number of atoms       :  277 (  10 equ;   0 cnn)
%            Maximal formula atoms :   16 (   2 avg)
%            Number of connectives : 1049 ( 108   ~;  99   |;  43   &; 781   @)
%                                         (   4 <=>;  14  =>;   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     :   24 (  22 usr;   8 con; 0-3 aty)
%            Number of variables   :  121 (   0   ^; 107   !;  14   ?; 121   :)

% Comments : 
%------------------------------------------------------------------------------
thf(sk__20_type,type,
    sk__20: $i ).

thf(sk__19_type,type,
    sk__19: $i ).

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

thf(sk__16_type,type,
    sk__16: $i > $i > $i ).

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

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

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

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

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

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

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

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

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

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

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

thf(sk__18_type,type,
    sk__18: $i > $i > $i ).

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

thf(sk__17_type,type,
    sk__17: $i > $i > $i ).

thf(earlier_type,type,
    earlier: $i > $i > $o ).

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

thf(precedes_type,type,
    precedes: $i > $i > $o ).

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

thf(goals,conjecture,
    ! [X166: $i,X167: $i] :
      ( ( ( occurrence_of @ X167 @ tptp0 )
        & ( subactivity_occurrence @ X166 @ X167 )
        & ( arboreal @ X166 )
        & ~ ( leaf_occ @ X166 @ X167 ) )
     => ? [X168: $i,X169: $i] :
          ( ( ( occurrence_of @ X169 @ tptp2 )
           => ~ ? [X171: $i] :
                  ( ( min_precedes @ X168 @ X171 @ tptp0 )
                  & ( occurrence_of @ X171 @ tptp1 ) ) )
          & ( ( occurrence_of @ X169 @ tptp1 )
           => ~ ? [X170: $i] :
                  ( ( min_precedes @ X168 @ X170 @ tptp0 )
                  & ( occurrence_of @ X170 @ tptp2 ) ) )
          & ( leaf_occ @ X169 @ X167 )
          & ( min_precedes @ X168 @ X169 @ tptp0 )
          & ( ( occurrence_of @ X169 @ tptp2 )
            | ( occurrence_of @ X169 @ tptp1 ) )
          & ( next_subocc @ X166 @ X168 @ tptp0 )
          & ( occurrence_of @ X168 @ tptp3 ) ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ! [X166: $i,X167: $i] :
        ( ( ( occurrence_of @ X167 @ tptp0 )
          & ( subactivity_occurrence @ X166 @ X167 )
          & ( arboreal @ X166 )
          & ~ ( leaf_occ @ X166 @ X167 ) )
       => ? [X168: $i,X169: $i] :
            ( ( ( occurrence_of @ X169 @ tptp2 )
             => ~ ? [X171: $i] :
                    ( ( min_precedes @ X168 @ X171 @ tptp0 )
                    & ( occurrence_of @ X171 @ tptp1 ) ) )
            & ( ( occurrence_of @ X169 @ tptp1 )
             => ~ ? [X170: $i] :
                    ( ( min_precedes @ X168 @ X170 @ tptp0 )
                    & ( occurrence_of @ X170 @ tptp2 ) ) )
            & ( leaf_occ @ X169 @ X167 )
            & ( min_precedes @ X168 @ X169 @ tptp0 )
            & ( ( occurrence_of @ X169 @ tptp2 )
              | ( occurrence_of @ X169 @ tptp1 ) )
            & ( next_subocc @ X166 @ X168 @ tptp0 )
            & ( occurrence_of @ X168 @ tptp3 ) ) ),
    inference('cnf.neg',[status(esa)],[goals]) ).

thf(zip_derived_cl121,plain,
    occurrence_of @ sk__20 @ tptp0,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl120,plain,
    subactivity_occurrence @ sk__19 @ sk__20,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl121_001,plain,
    occurrence_of @ sk__20 @ tptp0,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(sos_49,axiom,
    ! [X161: $i,X162: $i] :
      ( ( ( occurrence_of @ X162 @ tptp0 )
        & ( subactivity_occurrence @ X161 @ X162 )
        & ( arboreal @ X161 )
        & ~ ( leaf_occ @ X161 @ X162 ) )
     => ? [X163: $i,X164: $i,X165: $i] :
          ( ( leaf_occ @ X165 @ X162 )
          & ( next_subocc @ X164 @ X165 @ tptp0 )
          & ( ( occurrence_of @ X165 @ tptp2 )
            | ( occurrence_of @ X165 @ tptp1 ) )
          & ( next_subocc @ X163 @ X164 @ tptp0 )
          & ( occurrence_of @ X164 @ tptp4 )
          & ( next_subocc @ X161 @ X163 @ tptp0 )
          & ( occurrence_of @ X163 @ tptp3 ) ) ) ).

thf(zip_derived_cl83,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( arboreal @ X0 )
      | ~ ( occurrence_of @ X1 @ tptp0 )
      | ~ ( subactivity_occurrence @ X0 @ X1 )
      | ( leaf_occ @ X0 @ X1 )
      | ( next_subocc @ ( sk__17 @ X1 @ X0 ) @ ( sk__18 @ X1 @ X0 ) @ tptp0 ) ),
    inference(cnf,[status(esa)],[sos_49]) ).

thf(zip_derived_cl770,plain,
    ! [X0: $i] :
      ( ~ ( arboreal @ X0 )
      | ~ ( subactivity_occurrence @ X0 @ sk__20 )
      | ( leaf_occ @ X0 @ sk__20 )
      | ( next_subocc @ ( sk__17 @ sk__20 @ X0 ) @ ( sk__18 @ sk__20 @ X0 ) @ tptp0 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl121,zip_derived_cl83]) ).

thf(zip_derived_cl8362,plain,
    ( ~ ( arboreal @ sk__19 )
    | ( leaf_occ @ sk__19 @ sk__20 )
    | ( next_subocc @ ( sk__17 @ sk__20 @ sk__19 ) @ ( sk__18 @ sk__20 @ sk__19 ) @ tptp0 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl120,zip_derived_cl770]) ).

thf(zip_derived_cl122,plain,
    arboreal @ sk__19,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl119,plain,
    ~ ( leaf_occ @ sk__19 @ sk__20 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl8367,plain,
    next_subocc @ ( sk__17 @ sk__20 @ sk__19 ) @ ( sk__18 @ sk__20 @ sk__19 ) @ tptp0,
    inference(demod,[status(thm)],[zip_derived_cl8362,zip_derived_cl122,zip_derived_cl119]) ).

thf(sos_22,axiom,
    ! [X60: $i,X61: $i,X62: $i] :
      ( ( next_subocc @ X60 @ X61 @ X62 )
    <=> ( ( min_precedes @ X60 @ X61 @ X62 )
        & ~ ? [X63: $i] :
              ( ( min_precedes @ X63 @ X61 @ X62 )
              & ( min_precedes @ X60 @ X63 @ X62 ) ) ) ) ).

thf(zip_derived_cl35,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( min_precedes @ X0 @ X1 @ X2 )
      | ~ ( next_subocc @ X0 @ X1 @ X2 ) ),
    inference(cnf,[status(esa)],[sos_22]) ).

thf(zip_derived_cl8369,plain,
    min_precedes @ ( sk__17 @ sk__20 @ sk__19 ) @ ( sk__18 @ sk__20 @ sk__19 ) @ tptp0,
    inference('s_sup-',[status(thm)],[zip_derived_cl8367,zip_derived_cl35]) ).

thf(sos_29,axiom,
    ! [X83: $i,X84: $i,X85: $i,X86: $i] :
      ( ( ( min_precedes @ X83 @ X84 @ X85 )
        & ( occurrence_of @ X86 @ X85 )
        & ( subactivity_occurrence @ X84 @ X86 ) )
     => ( subactivity_occurrence @ X83 @ X86 ) ) ).

thf(zip_derived_cl53,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ~ ( min_precedes @ X0 @ X1 @ X2 )
      | ~ ( occurrence_of @ X3 @ X2 )
      | ~ ( subactivity_occurrence @ X1 @ X3 )
      | ( subactivity_occurrence @ X0 @ X3 ) ),
    inference(cnf,[status(esa)],[sos_29]) ).

thf(zip_derived_cl8395,plain,
    ! [X0: $i] :
      ( ~ ( occurrence_of @ X0 @ tptp0 )
      | ~ ( subactivity_occurrence @ ( sk__18 @ sk__20 @ sk__19 ) @ X0 )
      | ( subactivity_occurrence @ ( sk__17 @ sk__20 @ sk__19 ) @ X0 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl8369,zip_derived_cl53]) ).

thf(zip_derived_cl9561,plain,
    ( ~ ( subactivity_occurrence @ ( sk__18 @ sk__20 @ sk__19 ) @ sk__20 )
    | ( subactivity_occurrence @ ( sk__17 @ sk__20 @ sk__19 ) @ sk__20 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl121,zip_derived_cl8395]) ).

thf(zip_derived_cl120_002,plain,
    subactivity_occurrence @ sk__19 @ sk__20,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl121_003,plain,
    occurrence_of @ sk__20 @ tptp0,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl82,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( arboreal @ X0 )
      | ~ ( occurrence_of @ X1 @ tptp0 )
      | ~ ( subactivity_occurrence @ X0 @ X1 )
      | ( leaf_occ @ X0 @ X1 )
      | ( leaf_occ @ ( sk__18 @ X1 @ X0 ) @ X1 ) ),
    inference(cnf,[status(esa)],[sos_49]) ).

thf(zip_derived_cl718,plain,
    ! [X0: $i] :
      ( ~ ( arboreal @ X0 )
      | ~ ( subactivity_occurrence @ X0 @ sk__20 )
      | ( leaf_occ @ X0 @ sk__20 )
      | ( leaf_occ @ ( sk__18 @ sk__20 @ X0 ) @ sk__20 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl121,zip_derived_cl82]) ).

thf(zip_derived_cl1813,plain,
    ( ~ ( arboreal @ sk__19 )
    | ( leaf_occ @ sk__19 @ sk__20 )
    | ( leaf_occ @ ( sk__18 @ sk__20 @ sk__19 ) @ sk__20 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl120,zip_derived_cl718]) ).

thf(zip_derived_cl122_004,plain,
    arboreal @ sk__19,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl119_005,plain,
    ~ ( leaf_occ @ sk__19 @ sk__20 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl1816,plain,
    leaf_occ @ ( sk__18 @ sk__20 @ sk__19 ) @ sk__20,
    inference(demod,[status(thm)],[zip_derived_cl1813,zip_derived_cl122,zip_derived_cl119]) ).

thf(sos_34,axiom,
    ! [X102: $i,X103: $i] :
      ( ( leaf_occ @ X102 @ X103 )
    <=> ? [X104: $i] :
          ( ( leaf @ X102 @ X104 )
          & ( subactivity_occurrence @ X102 @ X103 )
          & ( occurrence_of @ X103 @ X104 ) ) ) ).

thf(zip_derived_cl62,plain,
    ! [X0: $i,X1: $i] :
      ( ( subactivity_occurrence @ X0 @ X1 )
      | ~ ( leaf_occ @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[sos_34]) ).

thf(zip_derived_cl1817,plain,
    subactivity_occurrence @ ( sk__18 @ sk__20 @ sk__19 ) @ sk__20,
    inference('s_sup-',[status(thm)],[zip_derived_cl1816,zip_derived_cl62]) ).

thf(zip_derived_cl9563,plain,
    subactivity_occurrence @ ( sk__17 @ sk__20 @ sk__19 ) @ sk__20,
    inference(demod,[status(thm)],[zip_derived_cl9561,zip_derived_cl1817]) ).

thf(zip_derived_cl718_006,plain,
    ! [X0: $i] :
      ( ~ ( arboreal @ X0 )
      | ~ ( subactivity_occurrence @ X0 @ sk__20 )
      | ( leaf_occ @ X0 @ sk__20 )
      | ( leaf_occ @ ( sk__18 @ sk__20 @ X0 ) @ sk__20 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl121,zip_derived_cl82]) ).

thf(zip_derived_cl9572,plain,
    ( ~ ( arboreal @ ( sk__17 @ sk__20 @ sk__19 ) )
    | ( leaf_occ @ ( sk__17 @ sk__20 @ sk__19 ) @ sk__20 )
    | ( leaf_occ @ ( sk__18 @ sk__20 @ ( sk__17 @ sk__20 @ sk__19 ) ) @ sk__20 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl9563,zip_derived_cl718]) ).

thf(zip_derived_cl120_007,plain,
    subactivity_occurrence @ sk__19 @ sk__20,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl121_008,plain,
    occurrence_of @ sk__20 @ tptp0,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl87,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( arboreal @ X0 )
      | ~ ( occurrence_of @ X1 @ tptp0 )
      | ~ ( subactivity_occurrence @ X0 @ X1 )
      | ( leaf_occ @ X0 @ X1 )
      | ( occurrence_of @ ( sk__17 @ X1 @ X0 ) @ tptp4 ) ),
    inference(cnf,[status(esa)],[sos_49]) ).

thf(zip_derived_cl1015,plain,
    ! [X0: $i] :
      ( ~ ( arboreal @ X0 )
      | ~ ( subactivity_occurrence @ X0 @ sk__20 )
      | ( leaf_occ @ X0 @ sk__20 )
      | ( occurrence_of @ ( sk__17 @ sk__20 @ X0 ) @ tptp4 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl121,zip_derived_cl87]) ).

thf(zip_derived_cl7494,plain,
    ( ~ ( arboreal @ sk__19 )
    | ( leaf_occ @ sk__19 @ sk__20 )
    | ( occurrence_of @ ( sk__17 @ sk__20 @ sk__19 ) @ tptp4 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl120,zip_derived_cl1015]) ).

thf(zip_derived_cl122_009,plain,
    arboreal @ sk__19,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl119_010,plain,
    ~ ( leaf_occ @ sk__19 @ sk__20 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl7499,plain,
    occurrence_of @ ( sk__17 @ sk__20 @ sk__19 ) @ tptp4,
    inference(demod,[status(thm)],[zip_derived_cl7494,zip_derived_cl122,zip_derived_cl119]) ).

thf(sos_07,axiom,
    ! [X16: $i,X17: $i] :
      ( ( occurrence_of @ X16 @ X17 )
     => ( ( arboreal @ X16 )
      <=> ( atomic @ X17 ) ) ) ).

thf(zip_derived_cl9,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( atomic @ X0 )
      | ( arboreal @ X1 )
      | ~ ( occurrence_of @ X1 @ X0 ) ),
    inference(cnf,[status(esa)],[sos_07]) ).

thf(zip_derived_cl7502,plain,
    ( ~ ( atomic @ tptp4 )
    | ( arboreal @ ( sk__17 @ sk__20 @ sk__19 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl7499,zip_derived_cl9]) ).

thf(sos_52,axiom,
    atomic @ tptp4 ).

thf(zip_derived_cl91,plain,
    atomic @ tptp4,
    inference(cnf,[status(esa)],[sos_52]) ).

thf(zip_derived_cl7516,plain,
    arboreal @ ( sk__17 @ sk__20 @ sk__19 ),
    inference(demod,[status(thm)],[zip_derived_cl7502,zip_derived_cl91]) ).

thf(zip_derived_cl121_011,plain,
    occurrence_of @ sk__20 @ tptp0,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl8369_012,plain,
    min_precedes @ ( sk__17 @ sk__20 @ sk__19 ) @ ( sk__18 @ sk__20 @ sk__19 ) @ tptp0,
    inference('s_sup-',[status(thm)],[zip_derived_cl8367,zip_derived_cl35]) ).

thf(sos_37,axiom,
    ! [X113: $i,X114: $i,X115: $i] :
      ( ( ( occurrence_of @ X113 @ X115 )
        & ( leaf_occ @ X114 @ X113 ) )
     => ~ ? [X116: $i] : ( min_precedes @ X114 @ X116 @ X115 ) ) ).

thf(zip_derived_cl68,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_37]) ).

thf(zip_derived_cl8410,plain,
    ! [X0: $i] :
      ( ~ ( leaf_occ @ ( sk__17 @ sk__20 @ sk__19 ) @ X0 )
      | ~ ( occurrence_of @ X0 @ tptp0 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl8369,zip_derived_cl68]) ).

thf(zip_derived_cl8429,plain,
    ~ ( leaf_occ @ ( sk__17 @ sk__20 @ sk__19 ) @ sk__20 ),
    inference('s_sup-',[status(thm)],[zip_derived_cl121,zip_derived_cl8410]) ).

thf(zip_derived_cl9582,plain,
    leaf_occ @ ( sk__18 @ sk__20 @ ( sk__17 @ sk__20 @ sk__19 ) ) @ sk__20,
    inference(demod,[status(thm)],[zip_derived_cl9572,zip_derived_cl7516,zip_derived_cl8429]) ).

thf(zip_derived_cl9582_013,plain,
    leaf_occ @ ( sk__18 @ sk__20 @ ( sk__17 @ sk__20 @ sk__19 ) ) @ sk__20,
    inference(demod,[status(thm)],[zip_derived_cl9572,zip_derived_cl7516,zip_derived_cl8429]) ).

thf(zip_derived_cl63,plain,
    ! [X0: $i,X1: $i] :
      ( ( occurrence_of @ X0 @ ( sk__14 @ X0 @ X1 ) )
      | ~ ( leaf_occ @ X1 @ X0 ) ),
    inference(cnf,[status(esa)],[sos_34]) ).

thf(zip_derived_cl9853,plain,
    occurrence_of @ sk__20 @ ( sk__14 @ sk__20 @ ( sk__18 @ sk__20 @ ( sk__17 @ sk__20 @ sk__19 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl9582,zip_derived_cl63]) ).

thf(zip_derived_cl9_014,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( atomic @ X0 )
      | ( arboreal @ X1 )
      | ~ ( occurrence_of @ X1 @ X0 ) ),
    inference(cnf,[status(esa)],[sos_07]) ).

thf(zip_derived_cl10674,plain,
    ( ~ ( atomic @ ( sk__14 @ sk__20 @ ( sk__18 @ sk__20 @ ( sk__17 @ sk__20 @ sk__19 ) ) ) )
    | ( arboreal @ sk__20 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl9853,zip_derived_cl9]) ).

thf(zip_derived_cl121_015,plain,
    occurrence_of @ sk__20 @ tptp0,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl10,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( arboreal @ X0 )
      | ( atomic @ X1 )
      | ~ ( occurrence_of @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[sos_07]) ).

thf(zip_derived_cl145,plain,
    ( ~ ( arboreal @ sk__20 )
    | ( atomic @ tptp0 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl121,zip_derived_cl10]) ).

thf(sos_51,axiom,
    ~ ( atomic @ tptp0 ) ).

thf(zip_derived_cl90,plain,
    ~ ( atomic @ tptp0 ),
    inference(cnf,[status(esa)],[sos_51]) ).

thf(zip_derived_cl146,plain,
    ~ ( arboreal @ sk__20 ),
    inference(clc,[status(thm)],[zip_derived_cl145,zip_derived_cl90]) ).

thf(zip_derived_cl10696,plain,
    ~ ( atomic @ ( sk__14 @ sk__20 @ ( sk__18 @ sk__20 @ ( sk__17 @ sk__20 @ sk__19 ) ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl10674,zip_derived_cl146]) ).

thf(zip_derived_cl1816_016,plain,
    leaf_occ @ ( sk__18 @ sk__20 @ sk__19 ) @ sk__20,
    inference(demod,[status(thm)],[zip_derived_cl1813,zip_derived_cl122,zip_derived_cl119]) ).

thf(sos_36,axiom,
    ! [X109: $i,X110: $i,X111: $i,X112: $i] :
      ( ( ( occurrence_of @ X111 @ X112 )
        & ~ ( atomic @ X112 )
        & ( leaf_occ @ X109 @ X111 )
        & ( leaf_occ @ X110 @ X111 ) )
     => ( X109 = X110 ) ) ).

thf(zip_derived_cl67,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ( X1 = X0 )
      | ~ ( leaf_occ @ X0 @ X2 )
      | ~ ( leaf_occ @ X1 @ X2 )
      | ~ ( occurrence_of @ X2 @ X3 )
      | ( atomic @ X3 ) ),
    inference(cnf,[status(esa)],[sos_36]) ).

thf(zip_derived_cl1820,plain,
    ! [X0: $i,X1: $i] :
      ( ( X0
        = ( sk__18 @ sk__20 @ sk__19 ) )
      | ~ ( leaf_occ @ X0 @ sk__20 )
      | ~ ( occurrence_of @ sk__20 @ X1 )
      | ( atomic @ X1 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl1816,zip_derived_cl67]) ).

thf(zip_derived_cl10701,plain,
    ! [X0: $i] :
      ( ( X0
        = ( sk__18 @ sk__20 @ sk__19 ) )
      | ~ ( leaf_occ @ X0 @ sk__20 )
      | ~ ( occurrence_of @ sk__20 @ ( sk__14 @ sk__20 @ ( sk__18 @ sk__20 @ ( sk__17 @ sk__20 @ sk__19 ) ) ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl10696,zip_derived_cl1820]) ).

thf(zip_derived_cl9853_017,plain,
    occurrence_of @ sk__20 @ ( sk__14 @ sk__20 @ ( sk__18 @ sk__20 @ ( sk__17 @ sk__20 @ sk__19 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl9582,zip_derived_cl63]) ).

thf(zip_derived_cl10703,plain,
    ! [X0: $i] :
      ( ( X0
        = ( sk__18 @ sk__20 @ sk__19 ) )
      | ~ ( leaf_occ @ X0 @ sk__20 ) ),
    inference(demod,[status(thm)],[zip_derived_cl10701,zip_derived_cl9853]) ).

thf(zip_derived_cl10706,plain,
    ( ( sk__18 @ sk__20 @ ( sk__17 @ sk__20 @ sk__19 ) )
    = ( sk__18 @ sk__20 @ sk__19 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl9582,zip_derived_cl10703]) ).

thf(zip_derived_cl83_018,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( arboreal @ X0 )
      | ~ ( occurrence_of @ X1 @ tptp0 )
      | ~ ( subactivity_occurrence @ X0 @ X1 )
      | ( leaf_occ @ X0 @ X1 )
      | ( next_subocc @ ( sk__17 @ X1 @ X0 ) @ ( sk__18 @ X1 @ X0 ) @ tptp0 ) ),
    inference(cnf,[status(esa)],[sos_49]) ).

thf(zip_derived_cl10716,plain,
    ( ~ ( arboreal @ ( sk__17 @ sk__20 @ sk__19 ) )
    | ~ ( occurrence_of @ sk__20 @ tptp0 )
    | ~ ( subactivity_occurrence @ ( sk__17 @ sk__20 @ sk__19 ) @ sk__20 )
    | ( leaf_occ @ ( sk__17 @ sk__20 @ sk__19 ) @ sk__20 )
    | ( next_subocc @ ( sk__17 @ sk__20 @ ( sk__17 @ sk__20 @ sk__19 ) ) @ ( sk__18 @ sk__20 @ sk__19 ) @ tptp0 ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl10706,zip_derived_cl83]) ).

thf(zip_derived_cl7516_019,plain,
    arboreal @ ( sk__17 @ sk__20 @ sk__19 ),
    inference(demod,[status(thm)],[zip_derived_cl7502,zip_derived_cl91]) ).

thf(zip_derived_cl121_020,plain,
    occurrence_of @ sk__20 @ tptp0,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl9563_021,plain,
    subactivity_occurrence @ ( sk__17 @ sk__20 @ sk__19 ) @ sk__20,
    inference(demod,[status(thm)],[zip_derived_cl9561,zip_derived_cl1817]) ).

thf(zip_derived_cl8429_022,plain,
    ~ ( leaf_occ @ ( sk__17 @ sk__20 @ sk__19 ) @ sk__20 ),
    inference('s_sup-',[status(thm)],[zip_derived_cl121,zip_derived_cl8410]) ).

thf(zip_derived_cl10722,plain,
    next_subocc @ ( sk__17 @ sk__20 @ ( sk__17 @ sk__20 @ sk__19 ) ) @ ( sk__18 @ sk__20 @ sk__19 ) @ tptp0,
    inference(demod,[status(thm)],[zip_derived_cl10716,zip_derived_cl7516,zip_derived_cl121,zip_derived_cl9563,zip_derived_cl8429]) ).

thf(zip_derived_cl8367_023,plain,
    next_subocc @ ( sk__17 @ sk__20 @ sk__19 ) @ ( sk__18 @ sk__20 @ sk__19 ) @ tptp0,
    inference(demod,[status(thm)],[zip_derived_cl8362,zip_derived_cl122,zip_derived_cl119]) ).

thf(sos_40,axiom,
    ! [X126: $i,X127: $i,X128: $i,X129: $i] :
      ( ( ( next_subocc @ X127 @ X126 @ X129 )
        & ( next_subocc @ X128 @ X126 @ X129 ) )
     => ( X127 = X128 ) ) ).

thf(zip_derived_cl71,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ( X1 = X0 )
      | ~ ( next_subocc @ X1 @ X2 @ X3 )
      | ~ ( next_subocc @ X0 @ X2 @ X3 ) ),
    inference(cnf,[status(esa)],[sos_40]) ).

thf(zip_derived_cl8372,plain,
    ! [X0: $i] :
      ( ( ( sk__17 @ sk__20 @ sk__19 )
        = X0 )
      | ~ ( next_subocc @ X0 @ ( sk__18 @ sk__20 @ sk__19 ) @ tptp0 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl8367,zip_derived_cl71]) ).

thf(zip_derived_cl11076,plain,
    ( ( sk__17 @ sk__20 @ sk__19 )
    = ( sk__17 @ sk__20 @ ( sk__17 @ sk__20 @ sk__19 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl10722,zip_derived_cl8372]) ).

thf(zip_derived_cl88,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( arboreal @ X0 )
      | ~ ( occurrence_of @ X1 @ tptp0 )
      | ~ ( subactivity_occurrence @ X0 @ X1 )
      | ( leaf_occ @ X0 @ X1 )
      | ( next_subocc @ ( sk__16 @ X1 @ X0 ) @ ( sk__17 @ X1 @ X0 ) @ tptp0 ) ),
    inference(cnf,[status(esa)],[sos_49]) ).

thf(zip_derived_cl11089,plain,
    ( ~ ( arboreal @ ( sk__17 @ sk__20 @ sk__19 ) )
    | ~ ( occurrence_of @ sk__20 @ tptp0 )
    | ~ ( subactivity_occurrence @ ( sk__17 @ sk__20 @ sk__19 ) @ sk__20 )
    | ( leaf_occ @ ( sk__17 @ sk__20 @ sk__19 ) @ sk__20 )
    | ( next_subocc @ ( sk__16 @ sk__20 @ ( sk__17 @ sk__20 @ sk__19 ) ) @ ( sk__17 @ sk__20 @ sk__19 ) @ tptp0 ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl11076,zip_derived_cl88]) ).

thf(zip_derived_cl7516_024,plain,
    arboreal @ ( sk__17 @ sk__20 @ sk__19 ),
    inference(demod,[status(thm)],[zip_derived_cl7502,zip_derived_cl91]) ).

thf(zip_derived_cl121_025,plain,
    occurrence_of @ sk__20 @ tptp0,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl9563_026,plain,
    subactivity_occurrence @ ( sk__17 @ sk__20 @ sk__19 ) @ sk__20,
    inference(demod,[status(thm)],[zip_derived_cl9561,zip_derived_cl1817]) ).

thf(zip_derived_cl8429_027,plain,
    ~ ( leaf_occ @ ( sk__17 @ sk__20 @ sk__19 ) @ sk__20 ),
    inference('s_sup-',[status(thm)],[zip_derived_cl121,zip_derived_cl8410]) ).

thf(zip_derived_cl11094,plain,
    next_subocc @ ( sk__16 @ sk__20 @ ( sk__17 @ sk__20 @ sk__19 ) ) @ ( sk__17 @ sk__20 @ sk__19 ) @ tptp0,
    inference(demod,[status(thm)],[zip_derived_cl11089,zip_derived_cl7516,zip_derived_cl121,zip_derived_cl9563,zip_derived_cl8429]) ).

thf(zip_derived_cl35_028,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( min_precedes @ X0 @ X1 @ X2 )
      | ~ ( next_subocc @ X0 @ X1 @ X2 ) ),
    inference(cnf,[status(esa)],[sos_22]) ).

thf(zip_derived_cl11230,plain,
    min_precedes @ ( sk__16 @ sk__20 @ ( sk__17 @ sk__20 @ sk__19 ) ) @ ( sk__17 @ sk__20 @ sk__19 ) @ tptp0,
    inference('s_sup-',[status(thm)],[zip_derived_cl11094,zip_derived_cl35]) ).

thf(sos_15,axiom,
    ! [X38: $i,X39: $i,X40: $i] :
      ( ( min_precedes @ X38 @ X39 @ X40 )
     => ( precedes @ X38 @ X39 ) ) ).

thf(zip_derived_cl25,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( precedes @ X0 @ X1 )
      | ~ ( min_precedes @ X0 @ X1 @ X2 ) ),
    inference(cnf,[status(esa)],[sos_15]) ).

thf(zip_derived_cl11268,plain,
    precedes @ ( sk__16 @ sk__20 @ ( sk__17 @ sk__20 @ sk__19 ) ) @ ( sk__17 @ sk__20 @ sk__19 ),
    inference('s_sup-',[status(thm)],[zip_derived_cl11230,zip_derived_cl25]) ).

thf(sos_10,axiom,
    ! [X21: $i,X22: $i] :
      ( ( precedes @ X21 @ X22 )
    <=> ( ( earlier @ X21 @ X22 )
        & ( legal @ X22 ) ) ) ).

thf(zip_derived_cl13,plain,
    ! [X0: $i,X1: $i] :
      ( ( earlier @ X0 @ X1 )
      | ~ ( precedes @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[sos_10]) ).

thf(zip_derived_cl12890,plain,
    earlier @ ( sk__16 @ sk__20 @ ( sk__17 @ sk__20 @ sk__19 ) ) @ ( sk__17 @ sk__20 @ sk__19 ),
    inference('s_sup-',[status(thm)],[zip_derived_cl11268,zip_derived_cl13]) ).

thf(sos_04,axiom,
    ! [X8: $i,X9: $i] :
      ( ( earlier @ X8 @ X9 )
     => ~ ( earlier @ X9 @ X8 ) ) ).

thf(zip_derived_cl6,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( earlier @ X0 @ X1 )
      | ~ ( earlier @ X1 @ X0 ) ),
    inference(cnf,[status(esa)],[sos_04]) ).

thf(zip_derived_cl12967,plain,
    ~ ( earlier @ ( sk__17 @ sk__20 @ sk__19 ) @ ( sk__16 @ sk__20 @ ( sk__17 @ sk__20 @ sk__19 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl12890,zip_derived_cl6]) ).

thf(zip_derived_cl13_029,plain,
    ! [X0: $i,X1: $i] :
      ( ( earlier @ X0 @ X1 )
      | ~ ( precedes @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[sos_10]) ).

thf(zip_derived_cl12975,plain,
    ~ ( precedes @ ( sk__17 @ sk__20 @ sk__19 ) @ ( sk__16 @ sk__20 @ ( sk__17 @ sk__20 @ sk__19 ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl12967,zip_derived_cl13]) ).

thf(zip_derived_cl25_030,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( precedes @ X0 @ X1 )
      | ~ ( min_precedes @ X0 @ X1 @ X2 ) ),
    inference(cnf,[status(esa)],[sos_15]) ).

thf(zip_derived_cl12979,plain,
    ! [X0: $i] :
      ~ ( min_precedes @ ( sk__17 @ sk__20 @ sk__19 ) @ ( sk__16 @ sk__20 @ ( sk__17 @ sk__20 @ sk__19 ) ) @ X0 ),
    inference('s_sup+',[status(thm)],[zip_derived_cl12975,zip_derived_cl25]) ).

thf(zip_derived_cl35_031,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( min_precedes @ X0 @ X1 @ X2 )
      | ~ ( next_subocc @ X0 @ X1 @ X2 ) ),
    inference(cnf,[status(esa)],[sos_22]) ).

thf(zip_derived_cl13170,plain,
    ! [X0: $i] :
      ~ ( next_subocc @ ( sk__17 @ sk__20 @ sk__19 ) @ ( sk__16 @ sk__20 @ ( sk__17 @ sk__20 @ sk__19 ) ) @ X0 ),
    inference('s_sup+',[status(thm)],[zip_derived_cl12979,zip_derived_cl35]) ).

thf(zip_derived_cl86,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( arboreal @ X0 )
      | ~ ( occurrence_of @ X1 @ tptp0 )
      | ~ ( subactivity_occurrence @ X0 @ X1 )
      | ( leaf_occ @ X0 @ X1 )
      | ( next_subocc @ X0 @ ( sk__16 @ X1 @ X0 ) @ tptp0 ) ),
    inference(cnf,[status(esa)],[sos_49]) ).

thf(zip_derived_cl13190,plain,
    ( ~ ( arboreal @ ( sk__17 @ sk__20 @ sk__19 ) )
    | ~ ( occurrence_of @ sk__20 @ tptp0 )
    | ~ ( subactivity_occurrence @ ( sk__17 @ sk__20 @ sk__19 ) @ sk__20 )
    | ( leaf_occ @ ( sk__17 @ sk__20 @ sk__19 ) @ sk__20 ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl13170,zip_derived_cl86]) ).

thf(zip_derived_cl7516_032,plain,
    arboreal @ ( sk__17 @ sk__20 @ sk__19 ),
    inference(demod,[status(thm)],[zip_derived_cl7502,zip_derived_cl91]) ).

thf(zip_derived_cl121_033,plain,
    occurrence_of @ sk__20 @ tptp0,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl9563_034,plain,
    subactivity_occurrence @ ( sk__17 @ sk__20 @ sk__19 ) @ sk__20,
    inference(demod,[status(thm)],[zip_derived_cl9561,zip_derived_cl1817]) ).

thf(zip_derived_cl8429_035,plain,
    ~ ( leaf_occ @ ( sk__17 @ sk__20 @ sk__19 ) @ sk__20 ),
    inference('s_sup-',[status(thm)],[zip_derived_cl121,zip_derived_cl8410]) ).

thf(zip_derived_cl13192,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl13190,zip_derived_cl7516,zip_derived_cl121,zip_derived_cl9563,zip_derived_cl8429]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.07  % Problem  : PRO016+3 : TPTP v9.2.0. Released v4.0.0.
% 0.06/0.08  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.nN7YzoYiYs true
% 0.08/0.27  % Computer : n007.cluster.edu
% 0.08/0.27  % Model    : x86_64 x86_64
% 0.08/0.27  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.27  % Memory   : 8042.1875MB
% 0.08/0.27  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.08/0.27  % CPULimit : 300
% 0.08/0.27  % WCLimit  : 300
% 0.08/0.27  % DateTime : Wed Oct  1 10:52:08 EDT 2025
% 0.08/0.28  % CPUTime  : 
% 0.08/0.28  % Running portfolio for 300 s
% 0.08/0.28  % File         : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.28  % Number of cores: 8
% 0.08/0.28  % Python version: Python 3.6.8
% 0.08/0.28  % Running in FO mode
% 0.13/0.46  % Total configuration time : 435
% 0.13/0.46  % Estimated wc time : 1092
% 0.13/0.46  % Estimated cpu time (7 cpus) : 156.0
% 0.13/0.52  % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.79/0.53  % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.87/0.55  % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.87/0.57  % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.87/0.58  % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.87/0.58  % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.87/0.58  % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 17.43/2.96  % Solved by fo/fo13.sh.
% 17.43/2.96  % done 2548 iterations in 2.362s
% 17.43/2.96  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 17.43/2.96  % SZS output start Refutation
% See solution above
% 17.43/2.96  
% 17.43/2.96  
% 17.43/2.96  % Terminating...
% 17.43/2.99  % Runner terminated.
% 17.43/3.00  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------