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Zipperpin---2.1.9999.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : PRO018+2 : 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.vqXtI0RBK1 true

% Computer : n027.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 04:49:24 PM UTC 2025

% Result   : Theorem 8.44s 1.79s
% Output   : Refutation 8.44s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   16
%            Number of leaves      :   11
% Syntax   : Number of formulae    :  110 (  57 unt;   0 typ;   0 def)
%            Number of atoms       :  276 (  24 equ;   0 cnn)
%            Maximal formula atoms :   16 (   2 avg)
%            Number of connectives :  960 ( 103   ~; 111   |;  39   &; 691   @)
%                                         (   2 <=>;  14  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   16 (   6 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   23 (  21 usr;   8 con; 0-3 aty)
%            Number of variables   :  103 (   0   ^;  88   !;  15   ?; 103   :)

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

thf(zf_stmt_0,negated_conjecture,
    ~ ! [X101: $i,X102: $i] :
        ( ( ( occurrence_of @ X102 @ tptp0 )
          & ( subactivity_occurrence @ X101 @ X102 )
          & ( arboreal @ X101 )
          & ~ ( leaf_occ @ X101 @ X102 ) )
       => ? [X103: $i,X104: $i] :
            ( ( ( occurrence_of @ X104 @ tptp2 )
             => ~ ? [X106: $i] :
                    ( ( min_precedes @ X103 @ X106 @ tptp0 )
                    & ( occurrence_of @ X106 @ tptp1 ) ) )
            & ( ( occurrence_of @ X104 @ tptp1 )
             => ~ ? [X105: $i] :
                    ( ( min_precedes @ X103 @ X105 @ tptp0 )
                    & ( occurrence_of @ X105 @ tptp2 ) ) )
            & ( leaf_occ @ X104 @ X102 )
            & ( min_precedes @ X103 @ X104 @ tptp0 )
            & ( ( occurrence_of @ X104 @ tptp2 )
              | ( occurrence_of @ X104 @ tptp1 ) )
            & ( next_subocc @ X101 @ X103 @ tptp0 )
            & ( occurrence_of @ X103 @ tptp3 ) ) ),
    inference('cnf.neg',[status(esa)],[goals]) ).

thf(zip_derived_cl101,plain,
    subactivity_occurrence @ sk__17 @ sk__18,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl102,plain,
    occurrence_of @ sk__18 @ tptp0,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(sos_32,axiom,
    ! [X95: $i,X96: $i] :
      ( ( ( occurrence_of @ X96 @ tptp0 )
        & ( subactivity_occurrence @ X95 @ X96 )
        & ( arboreal @ X95 )
        & ~ ( leaf_occ @ X95 @ X96 ) )
     => ? [X97: $i,X98: $i,X99: $i] :
          ( ! [X100: $i] :
              ( ( min_precedes @ X97 @ X100 @ tptp0 )
             => ( ( X100 = X98 )
                | ( X100 = X99 ) ) )
          & ( min_precedes @ X98 @ X99 @ tptp0 )
          & ( ( occurrence_of @ X99 @ tptp2 )
            | ( occurrence_of @ X99 @ tptp1 ) )
          & ( min_precedes @ X97 @ X98 @ tptp0 )
          & ( occurrence_of @ X98 @ tptp4 )
          & ( next_subocc @ X95 @ X97 @ tptp0 )
          & ( occurrence_of @ X97 @ tptp3 ) ) ) ).

thf(zip_derived_cl65,plain,
    ! [X0: $i,X1: $i] :
      ( ( next_subocc @ X0 @ ( sk__14 @ 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_cl277,plain,
    ! [X0: $i] :
      ( ( next_subocc @ X0 @ ( sk__14 @ X0 ) @ tptp0 )
      | ~ ( arboreal @ X0 )
      | ~ ( subactivity_occurrence @ X0 @ sk__18 )
      | ( leaf_occ @ X0 @ sk__18 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl102,zip_derived_cl65]) ).

thf(zip_derived_cl491,plain,
    ( ( next_subocc @ sk__17 @ ( sk__14 @ sk__17 ) @ tptp0 )
    | ~ ( arboreal @ sk__17 )
    | ( leaf_occ @ sk__17 @ sk__18 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl101,zip_derived_cl277]) ).

thf(zip_derived_cl103,plain,
    arboreal @ sk__17,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl100,plain,
    ~ ( leaf_occ @ sk__17 @ sk__18 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl493,plain,
    next_subocc @ sk__17 @ ( sk__14 @ sk__17 ) @ tptp0,
    inference(demod,[status(thm)],[zip_derived_cl491,zip_derived_cl103,zip_derived_cl100]) ).

thf(sos_04,axiom,
    ! [X15: $i,X16: $i,X17: $i] :
      ( ( next_subocc @ X15 @ X16 @ X17 )
    <=> ( ( min_precedes @ X15 @ X16 @ X17 )
        & ~ ? [X18: $i] :
              ( ( min_precedes @ X18 @ X16 @ X17 )
              & ( min_precedes @ X15 @ X18 @ X17 ) ) ) ) ).

thf(zip_derived_cl4,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( min_precedes @ X0 @ X1 @ X2 )
      | ~ ( next_subocc @ X0 @ X1 @ X2 ) ),
    inference(cnf,[status(esa)],[sos_04]) ).

thf(zip_derived_cl494,plain,
    min_precedes @ sk__17 @ ( sk__14 @ sk__17 ) @ tptp0,
    inference('s_sup-',[status(thm)],[zip_derived_cl493,zip_derived_cl4]) ).

thf(sos_24,axiom,
    ! [X70: $i,X71: $i,X72: $i] :
      ( ( min_precedes @ X71 @ X72 @ X70 )
     => ? [X73: $i] :
          ( ( subactivity_occurrence @ X72 @ X73 )
          & ( subactivity_occurrence @ X71 @ X73 )
          & ( occurrence_of @ X73 @ X70 ) ) ) ).

thf(zip_derived_cl48,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( occurrence_of @ ( sk__8 @ X0 @ X1 @ X2 ) @ X2 )
      | ~ ( min_precedes @ X1 @ X0 @ X2 ) ),
    inference(cnf,[status(esa)],[sos_24]) ).

thf(zip_derived_cl512,plain,
    occurrence_of @ ( sk__8 @ ( sk__14 @ sk__17 ) @ sk__17 @ tptp0 ) @ tptp0,
    inference('s_sup-',[status(thm)],[zip_derived_cl494,zip_derived_cl48]) ).

thf(zip_derived_cl101_001,plain,
    subactivity_occurrence @ sk__17 @ sk__18,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl102_002,plain,
    occurrence_of @ sk__18 @ tptp0,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl63,plain,
    ! [X0: $i,X1: $i] :
      ( ( min_precedes @ ( sk__14 @ X0 ) @ ( sk__15 @ 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_cl268,plain,
    ! [X0: $i] :
      ( ( min_precedes @ ( sk__14 @ X0 ) @ ( sk__15 @ X0 ) @ tptp0 )
      | ~ ( arboreal @ X0 )
      | ~ ( subactivity_occurrence @ X0 @ sk__18 )
      | ( leaf_occ @ X0 @ sk__18 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl102,zip_derived_cl63]) ).

thf(zip_derived_cl1261,plain,
    ( ( min_precedes @ ( sk__14 @ sk__17 ) @ ( sk__15 @ sk__17 ) @ tptp0 )
    | ~ ( arboreal @ sk__17 )
    | ( leaf_occ @ sk__17 @ sk__18 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl101,zip_derived_cl268]) ).

thf(zip_derived_cl103_003,plain,
    arboreal @ sk__17,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl100_004,plain,
    ~ ( leaf_occ @ sk__17 @ sk__18 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl1264,plain,
    min_precedes @ ( sk__14 @ sk__17 ) @ ( sk__15 @ sk__17 ) @ tptp0,
    inference(demod,[status(thm)],[zip_derived_cl1261,zip_derived_cl103,zip_derived_cl100]) ).

thf(sos_21,axiom,
    ! [X60: $i,X61: $i,X62: $i] :
      ( ( ( occurrence_of @ X60 @ X62 )
        & ( leaf_occ @ X61 @ X60 ) )
     => ~ ? [X63: $i] : ( min_precedes @ X61 @ X63 @ X62 ) ) ).

thf(zip_derived_cl42,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_21]) ).

thf(zip_derived_cl1275,plain,
    ! [X0: $i] :
      ( ~ ( leaf_occ @ ( sk__14 @ sk__17 ) @ X0 )
      | ~ ( occurrence_of @ X0 @ tptp0 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl1264,zip_derived_cl42]) ).

thf(zip_derived_cl1284,plain,
    ~ ( leaf_occ @ ( sk__14 @ sk__17 ) @ ( sk__8 @ ( sk__14 @ sk__17 ) @ sk__17 @ tptp0 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl512,zip_derived_cl1275]) ).

thf(zip_derived_cl66,plain,
    ! [X0: $i,X1: $i] :
      ( ( occurrence_of @ ( sk__14 @ 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_cl1291,plain,
    ( ( occurrence_of @ ( sk__14 @ ( sk__14 @ sk__17 ) ) @ tptp3 )
    | ~ ( arboreal @ ( sk__14 @ sk__17 ) )
    | ~ ( occurrence_of @ ( sk__8 @ ( sk__14 @ sk__17 ) @ sk__17 @ tptp0 ) @ tptp0 )
    | ~ ( subactivity_occurrence @ ( sk__14 @ sk__17 ) @ ( sk__8 @ ( sk__14 @ sk__17 ) @ sk__17 @ tptp0 ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl1284,zip_derived_cl66]) ).

thf(zip_derived_cl101_005,plain,
    subactivity_occurrence @ sk__17 @ sk__18,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl102_006,plain,
    occurrence_of @ sk__18 @ tptp0,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl66_007,plain,
    ! [X0: $i,X1: $i] :
      ( ( occurrence_of @ ( sk__14 @ 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_cl318,plain,
    ! [X0: $i] :
      ( ( occurrence_of @ ( sk__14 @ X0 ) @ tptp3 )
      | ~ ( arboreal @ X0 )
      | ~ ( subactivity_occurrence @ X0 @ sk__18 )
      | ( leaf_occ @ X0 @ sk__18 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl102,zip_derived_cl66]) ).

thf(zip_derived_cl334,plain,
    ( ( occurrence_of @ ( sk__14 @ sk__17 ) @ tptp3 )
    | ~ ( arboreal @ sk__17 )
    | ( leaf_occ @ sk__17 @ sk__18 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl101,zip_derived_cl318]) ).

thf(zip_derived_cl103_008,plain,
    arboreal @ sk__17,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl100_009,plain,
    ~ ( leaf_occ @ sk__17 @ sk__18 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl336,plain,
    occurrence_of @ ( sk__14 @ sk__17 ) @ tptp3,
    inference(demod,[status(thm)],[zip_derived_cl334,zip_derived_cl103,zip_derived_cl100]) ).

thf(sos_13,axiom,
    ! [X40: $i,X41: $i] :
      ( ( occurrence_of @ X40 @ X41 )
     => ( ( arboreal @ X40 )
      <=> ( atomic @ X41 ) ) ) ).

thf(zip_derived_cl25,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( atomic @ X0 )
      | ( arboreal @ X1 )
      | ~ ( occurrence_of @ X1 @ X0 ) ),
    inference(cnf,[status(esa)],[sos_13]) ).

thf(zip_derived_cl339,plain,
    ( ~ ( atomic @ tptp3 )
    | ( arboreal @ ( sk__14 @ sk__17 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl336,zip_derived_cl25]) ).

thf(sos_38,axiom,
    atomic @ tptp3 ).

thf(zip_derived_cl75,plain,
    atomic @ tptp3,
    inference(cnf,[status(esa)],[sos_38]) ).

thf(zip_derived_cl349,plain,
    arboreal @ ( sk__14 @ sk__17 ),
    inference(demod,[status(thm)],[zip_derived_cl339,zip_derived_cl75]) ).

thf(zip_derived_cl512_010,plain,
    occurrence_of @ ( sk__8 @ ( sk__14 @ sk__17 ) @ sk__17 @ tptp0 ) @ tptp0,
    inference('s_sup-',[status(thm)],[zip_derived_cl494,zip_derived_cl48]) ).

thf(zip_derived_cl494_011,plain,
    min_precedes @ sk__17 @ ( sk__14 @ sk__17 ) @ tptp0,
    inference('s_sup-',[status(thm)],[zip_derived_cl493,zip_derived_cl4]) ).

thf(zip_derived_cl46,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( subactivity_occurrence @ X0 @ ( sk__8 @ X0 @ X1 @ X2 ) )
      | ~ ( min_precedes @ X1 @ X0 @ X2 ) ),
    inference(cnf,[status(esa)],[sos_24]) ).

thf(zip_derived_cl511,plain,
    subactivity_occurrence @ ( sk__14 @ sk__17 ) @ ( sk__8 @ ( sk__14 @ sk__17 ) @ sk__17 @ tptp0 ),
    inference('s_sup-',[status(thm)],[zip_derived_cl494,zip_derived_cl46]) ).

thf(zip_derived_cl1297,plain,
    occurrence_of @ ( sk__14 @ ( sk__14 @ sk__17 ) ) @ tptp3,
    inference(demod,[status(thm)],[zip_derived_cl1291,zip_derived_cl349,zip_derived_cl512,zip_derived_cl511]) ).

thf(sos_18,axiom,
    ! [X52: $i] :
      ( ( activity_occurrence @ X52 )
     => ? [X53: $i] :
          ( ( occurrence_of @ X52 @ X53 )
          & ( activity @ X53 ) ) ) ).

thf(zip_derived_cl37,plain,
    ! [X0: $i] :
      ( ( occurrence_of @ X0 @ ( sk__6 @ X0 ) )
      | ~ ( activity_occurrence @ X0 ) ),
    inference(cnf,[status(esa)],[sos_18]) ).

thf(sos_22,axiom,
    ! [X64: $i,X65: $i,X66: $i] :
      ( ( ( occurrence_of @ X64 @ X65 )
        & ( occurrence_of @ X64 @ X66 ) )
     => ( X65 = X66 ) ) ).

thf(zip_derived_cl43,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( occurrence_of @ X0 @ X1 )
      | ~ ( occurrence_of @ X0 @ X2 )
      | ( X1 = X2 ) ),
    inference(cnf,[status(esa)],[sos_22]) ).

thf(zip_derived_cl117,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( activity_occurrence @ X0 )
      | ~ ( occurrence_of @ X0 @ X1 )
      | ( ( sk__6 @ X0 )
        = X1 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl37,zip_derived_cl43]) ).

thf(sos_29,axiom,
    ! [X89: $i,X90: $i] :
      ( ( occurrence_of @ X90 @ X89 )
     => ( ( activity @ X89 )
        & ( activity_occurrence @ X90 ) ) ) ).

thf(zip_derived_cl59,plain,
    ! [X0: $i,X1: $i] :
      ( ( activity_occurrence @ X0 )
      | ~ ( occurrence_of @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[sos_29]) ).

thf(zip_derived_cl127,plain,
    ! [X0: $i,X1: $i] :
      ( ( ( sk__6 @ X0 )
        = X1 )
      | ~ ( occurrence_of @ X0 @ X1 ) ),
    inference(clc,[status(thm)],[zip_derived_cl117,zip_derived_cl59]) ).

thf(zip_derived_cl1338,plain,
    ( ( sk__6 @ ( sk__14 @ ( sk__14 @ sk__17 ) ) )
    = tptp3 ),
    inference('s_sup-',[status(thm)],[zip_derived_cl1297,zip_derived_cl127]) ).

thf(zip_derived_cl511_012,plain,
    subactivity_occurrence @ ( sk__14 @ sk__17 ) @ ( sk__8 @ ( sk__14 @ sk__17 ) @ sk__17 @ tptp0 ),
    inference('s_sup-',[status(thm)],[zip_derived_cl494,zip_derived_cl46]) ).

thf(zip_derived_cl512_013,plain,
    occurrence_of @ ( sk__8 @ ( sk__14 @ sk__17 ) @ sk__17 @ tptp0 ) @ tptp0,
    inference('s_sup-',[status(thm)],[zip_derived_cl494,zip_derived_cl48]) ).

thf(zip_derived_cl65_014,plain,
    ! [X0: $i,X1: $i] :
      ( ( next_subocc @ X0 @ ( sk__14 @ 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_cl554,plain,
    ! [X0: $i] :
      ( ( next_subocc @ X0 @ ( sk__14 @ X0 ) @ tptp0 )
      | ~ ( arboreal @ X0 )
      | ~ ( subactivity_occurrence @ X0 @ ( sk__8 @ ( sk__14 @ sk__17 ) @ sk__17 @ tptp0 ) )
      | ( leaf_occ @ X0 @ ( sk__8 @ ( sk__14 @ sk__17 ) @ sk__17 @ tptp0 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl512,zip_derived_cl65]) ).

thf(zip_derived_cl2788,plain,
    ( ( next_subocc @ ( sk__14 @ sk__17 ) @ ( sk__14 @ ( sk__14 @ sk__17 ) ) @ tptp0 )
    | ~ ( arboreal @ ( sk__14 @ sk__17 ) )
    | ( leaf_occ @ ( sk__14 @ sk__17 ) @ ( sk__8 @ ( sk__14 @ sk__17 ) @ sk__17 @ tptp0 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl511,zip_derived_cl554]) ).

thf(zip_derived_cl349_015,plain,
    arboreal @ ( sk__14 @ sk__17 ),
    inference(demod,[status(thm)],[zip_derived_cl339,zip_derived_cl75]) ).

thf(zip_derived_cl1284_016,plain,
    ~ ( leaf_occ @ ( sk__14 @ sk__17 ) @ ( sk__8 @ ( sk__14 @ sk__17 ) @ sk__17 @ tptp0 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl512,zip_derived_cl1275]) ).

thf(zip_derived_cl2795,plain,
    next_subocc @ ( sk__14 @ sk__17 ) @ ( sk__14 @ ( sk__14 @ sk__17 ) ) @ tptp0,
    inference(demod,[status(thm)],[zip_derived_cl2788,zip_derived_cl349,zip_derived_cl1284]) ).

thf(zip_derived_cl4_017,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( min_precedes @ X0 @ X1 @ X2 )
      | ~ ( next_subocc @ X0 @ X1 @ X2 ) ),
    inference(cnf,[status(esa)],[sos_04]) ).

thf(zip_derived_cl2821,plain,
    min_precedes @ ( sk__14 @ sk__17 ) @ ( sk__14 @ ( sk__14 @ sk__17 ) ) @ tptp0,
    inference('s_sup-',[status(thm)],[zip_derived_cl2795,zip_derived_cl4]) ).

thf(zip_derived_cl101_018,plain,
    subactivity_occurrence @ sk__17 @ sk__18,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl102_019,plain,
    occurrence_of @ sk__18 @ tptp0,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl69,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( min_precedes @ ( sk__14 @ X0 ) @ X1 @ tptp0 )
      | ( X1
        = ( sk__15 @ X0 ) )
      | ( X1
        = ( sk__16 @ X0 ) )
      | ~ ( arboreal @ X0 )
      | ~ ( occurrence_of @ X2 @ tptp0 )
      | ~ ( subactivity_occurrence @ X0 @ X2 )
      | ( leaf_occ @ X0 @ X2 ) ),
    inference(cnf,[status(esa)],[sos_32]) ).

thf(zip_derived_cl417,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( min_precedes @ ( sk__14 @ X1 ) @ X0 @ tptp0 )
      | ( X0
        = ( sk__15 @ X1 ) )
      | ( X0
        = ( sk__16 @ X1 ) )
      | ~ ( arboreal @ X1 )
      | ~ ( subactivity_occurrence @ X1 @ sk__18 )
      | ( leaf_occ @ X1 @ sk__18 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl102,zip_derived_cl69]) ).

thf(zip_derived_cl1699,plain,
    ! [X0: $i] :
      ( ~ ( min_precedes @ ( sk__14 @ sk__17 ) @ X0 @ tptp0 )
      | ( X0
        = ( sk__15 @ sk__17 ) )
      | ( X0
        = ( sk__16 @ sk__17 ) )
      | ~ ( arboreal @ sk__17 )
      | ( leaf_occ @ sk__17 @ sk__18 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl101,zip_derived_cl417]) ).

thf(zip_derived_cl103_020,plain,
    arboreal @ sk__17,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl100_021,plain,
    ~ ( leaf_occ @ sk__17 @ sk__18 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl1702,plain,
    ! [X0: $i] :
      ( ~ ( min_precedes @ ( sk__14 @ sk__17 ) @ X0 @ tptp0 )
      | ( X0
        = ( sk__15 @ sk__17 ) )
      | ( X0
        = ( sk__16 @ sk__17 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl1699,zip_derived_cl103,zip_derived_cl100]) ).

thf(zip_derived_cl5897,plain,
    ( ( ( sk__14 @ ( sk__14 @ sk__17 ) )
      = ( sk__15 @ sk__17 ) )
    | ( ( sk__14 @ ( sk__14 @ sk__17 ) )
      = ( sk__16 @ sk__17 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl2821,zip_derived_cl1702]) ).

thf(zip_derived_cl554_022,plain,
    ! [X0: $i] :
      ( ( next_subocc @ X0 @ ( sk__14 @ X0 ) @ tptp0 )
      | ~ ( arboreal @ X0 )
      | ~ ( subactivity_occurrence @ X0 @ ( sk__8 @ ( sk__14 @ sk__17 ) @ sk__17 @ tptp0 ) )
      | ( leaf_occ @ X0 @ ( sk__8 @ ( sk__14 @ sk__17 ) @ sk__17 @ tptp0 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl512,zip_derived_cl65]) ).

thf(zip_derived_cl6054,plain,
    ( ( ( sk__14 @ ( sk__14 @ sk__17 ) )
      = ( sk__15 @ sk__17 ) )
    | ( next_subocc @ ( sk__14 @ sk__17 ) @ ( sk__16 @ sk__17 ) @ tptp0 )
    | ~ ( arboreal @ ( sk__14 @ sk__17 ) )
    | ~ ( subactivity_occurrence @ ( sk__14 @ sk__17 ) @ ( sk__8 @ ( sk__14 @ sk__17 ) @ sk__17 @ tptp0 ) )
    | ( leaf_occ @ ( sk__14 @ sk__17 ) @ ( sk__8 @ ( sk__14 @ sk__17 ) @ sk__17 @ tptp0 ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl5897,zip_derived_cl554]) ).

thf(zip_derived_cl101_023,plain,
    subactivity_occurrence @ sk__17 @ sk__18,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl102_024,plain,
    occurrence_of @ sk__18 @ tptp0,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl68,plain,
    ! [X0: $i,X1: $i] :
      ( ( min_precedes @ ( sk__15 @ X0 ) @ ( sk__16 @ 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_cl380,plain,
    ! [X0: $i] :
      ( ( min_precedes @ ( sk__15 @ X0 ) @ ( sk__16 @ X0 ) @ tptp0 )
      | ~ ( arboreal @ X0 )
      | ~ ( subactivity_occurrence @ X0 @ sk__18 )
      | ( leaf_occ @ X0 @ sk__18 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl102,zip_derived_cl68]) ).

thf(zip_derived_cl1655,plain,
    ( ( min_precedes @ ( sk__15 @ sk__17 ) @ ( sk__16 @ sk__17 ) @ tptp0 )
    | ~ ( arboreal @ sk__17 )
    | ( leaf_occ @ sk__17 @ sk__18 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl101,zip_derived_cl380]) ).

thf(zip_derived_cl103_025,plain,
    arboreal @ sk__17,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl100_026,plain,
    ~ ( leaf_occ @ sk__17 @ sk__18 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl1658,plain,
    min_precedes @ ( sk__15 @ sk__17 ) @ ( sk__16 @ sk__17 ) @ tptp0,
    inference(demod,[status(thm)],[zip_derived_cl1655,zip_derived_cl103,zip_derived_cl100]) ).

thf(zip_derived_cl1264_027,plain,
    min_precedes @ ( sk__14 @ sk__17 ) @ ( sk__15 @ sk__17 ) @ tptp0,
    inference(demod,[status(thm)],[zip_derived_cl1261,zip_derived_cl103,zip_derived_cl100]) ).

thf(zip_derived_cl5,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_04]) ).

thf(zip_derived_cl1267,plain,
    ! [X0: $i] :
      ( ~ ( min_precedes @ ( sk__15 @ sk__17 ) @ X0 @ tptp0 )
      | ~ ( next_subocc @ ( sk__14 @ sk__17 ) @ X0 @ tptp0 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl1264,zip_derived_cl5]) ).

thf(zip_derived_cl1838,plain,
    ~ ( next_subocc @ ( sk__14 @ sk__17 ) @ ( sk__16 @ sk__17 ) @ tptp0 ),
    inference('s_sup-',[status(thm)],[zip_derived_cl1658,zip_derived_cl1267]) ).

thf(zip_derived_cl349_028,plain,
    arboreal @ ( sk__14 @ sk__17 ),
    inference(demod,[status(thm)],[zip_derived_cl339,zip_derived_cl75]) ).

thf(zip_derived_cl511_029,plain,
    subactivity_occurrence @ ( sk__14 @ sk__17 ) @ ( sk__8 @ ( sk__14 @ sk__17 ) @ sk__17 @ tptp0 ),
    inference('s_sup-',[status(thm)],[zip_derived_cl494,zip_derived_cl46]) ).

thf(zip_derived_cl1284_030,plain,
    ~ ( leaf_occ @ ( sk__14 @ sk__17 ) @ ( sk__8 @ ( sk__14 @ sk__17 ) @ sk__17 @ tptp0 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl512,zip_derived_cl1275]) ).

thf(zip_derived_cl6157,plain,
    ( ( sk__14 @ ( sk__14 @ sk__17 ) )
    = ( sk__15 @ sk__17 ) ),
    inference(demod,[status(thm)],[zip_derived_cl6054,zip_derived_cl1838,zip_derived_cl349,zip_derived_cl511,zip_derived_cl1284]) ).

thf(zip_derived_cl101_031,plain,
    subactivity_occurrence @ sk__17 @ sk__18,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl102_032,plain,
    occurrence_of @ sk__18 @ tptp0,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl64,plain,
    ! [X0: $i,X1: $i] :
      ( ( occurrence_of @ ( sk__15 @ 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_cl222,plain,
    ! [X0: $i] :
      ( ( occurrence_of @ ( sk__15 @ X0 ) @ tptp4 )
      | ~ ( arboreal @ X0 )
      | ~ ( subactivity_occurrence @ X0 @ sk__18 )
      | ( leaf_occ @ X0 @ sk__18 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl102,zip_derived_cl64]) ).

thf(zip_derived_cl224,plain,
    ( ( occurrence_of @ ( sk__15 @ sk__17 ) @ tptp4 )
    | ~ ( arboreal @ sk__17 )
    | ( leaf_occ @ sk__17 @ sk__18 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl101,zip_derived_cl222]) ).

thf(zip_derived_cl103_033,plain,
    arboreal @ sk__17,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl100_034,plain,
    ~ ( leaf_occ @ sk__17 @ sk__18 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl226,plain,
    occurrence_of @ ( sk__15 @ sk__17 ) @ tptp4,
    inference(demod,[status(thm)],[zip_derived_cl224,zip_derived_cl103,zip_derived_cl100]) ).

thf(zip_derived_cl127_035,plain,
    ! [X0: $i,X1: $i] :
      ( ( ( sk__6 @ X0 )
        = X1 )
      | ~ ( occurrence_of @ X0 @ X1 ) ),
    inference(clc,[status(thm)],[zip_derived_cl117,zip_derived_cl59]) ).

thf(zip_derived_cl238,plain,
    ( ( sk__6 @ ( sk__15 @ sk__17 ) )
    = tptp4 ),
    inference('s_sup-',[status(thm)],[zip_derived_cl226,zip_derived_cl127]) ).

thf(zip_derived_cl6169,plain,
    tptp4 = tptp3,
    inference(demod,[status(thm)],[zip_derived_cl1338,zip_derived_cl6157,zip_derived_cl238]) ).

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

thf(zip_derived_cl76,plain,
    tptp4 != tptp3,
    inference(cnf,[status(esa)],[sos_39]) ).

thf(zip_derived_cl6170,plain,
    $false,
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl6169,zip_derived_cl76]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : PRO018+2 : TPTP v9.2.0. Released v4.0.0.
% 0.11/0.13  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.vqXtI0RBK1 true
% 0.13/0.34  % Computer : n027.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 : Wed Oct  1 10:49:08 EDT 2025
% 0.13/0.35  % CPUTime  : 
% 0.13/0.35  % Running portfolio for 300 s
% 0.13/0.35  % File         : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.35  % Number of cores: 8
% 0.13/0.35  % Python version: Python 3.6.8
% 0.13/0.35  % Running in FO mode
% 0.56/0.63  % Total configuration time : 435
% 0.56/0.63  % Estimated wc time : 1092
% 0.56/0.63  % Estimated cpu time (7 cpus) : 156.0
% 0.56/0.71  % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.56/0.71  % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.56/0.72  % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.56/0.75  % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.56/0.75  % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.58/0.76  % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.58/0.76  % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 8.44/1.79  % Solved by fo/fo13.sh.
% 8.44/1.79  % done 1542 iterations in 1.018s
% 8.44/1.79  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 8.44/1.79  % SZS output start Refutation
% See solution above
% 8.44/1.79  
% 8.44/1.79  
% 8.44/1.79  % Terminating...
% 8.68/1.86  % Runner terminated.
% 8.68/1.87  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------