TSTP Solution File: PRO018+1 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : PRO018+1 : 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.0EuDbxxrwF true

% Computer : n025.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 13:10:46 EDT 2023

% Result   : Theorem 93.90s 14.01s
% Output   : Refutation 93.90s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   21
%            Number of leaves      :   36
% Syntax   : Number of formulae    :  146 (  57 unt;  24 typ;   0 def)
%            Number of atoms       :  308 (  27 equ;   0 cnn)
%            Maximal formula atoms :   16 (   2 avg)
%            Number of connectives : 1077 ( 113   ~; 128   |;  41   &; 778   @)
%                                         (   4 <=>;  13  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   16 (   6 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   29 (  29   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   26 (  24 usr;   8 con; 0-3 aty)
%            Number of variables   :  118 (   0   ^; 101   !;  17   ?; 118   :)

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

thf(sk__9_type,type,
    sk__9: $i > $i > $i > $i ).

thf(goals,conjecture,
    ! [X111: $i,X112: $i] :
      ( ( ( occurrence_of @ X112 @ tptp0 )
        & ( subactivity_occurrence @ X111 @ X112 )
        & ( arboreal @ X111 )
        & ~ ( leaf_occ @ X111 @ X112 ) )
     => ? [X113: $i,X114: $i] :
          ( ( ( occurrence_of @ X114 @ tptp2 )
           => ~ ? [X116: $i] :
                  ( ( min_precedes @ X113 @ X116 @ tptp0 )
                  & ( occurrence_of @ X116 @ tptp1 ) ) )
          & ( ( occurrence_of @ X114 @ tptp1 )
           => ~ ? [X115: $i] :
                  ( ( min_precedes @ X113 @ X115 @ tptp0 )
                  & ( occurrence_of @ X115 @ tptp2 ) ) )
          & ( leaf_occ @ X114 @ X112 )
          & ( min_precedes @ X113 @ X114 @ tptp0 )
          & ( ( occurrence_of @ X114 @ tptp2 )
            | ( occurrence_of @ X114 @ tptp1 ) )
          & ( next_subocc @ X111 @ X113 @ tptp0 )
          & ( occurrence_of @ X113 @ tptp3 ) ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ! [X111: $i,X112: $i] :
        ( ( ( occurrence_of @ X112 @ tptp0 )
          & ( subactivity_occurrence @ X111 @ X112 )
          & ( arboreal @ X111 )
          & ~ ( leaf_occ @ X111 @ X112 ) )
       => ? [X113: $i,X114: $i] :
            ( ( ( occurrence_of @ X114 @ tptp2 )
             => ~ ? [X116: $i] :
                    ( ( min_precedes @ X113 @ X116 @ tptp0 )
                    & ( occurrence_of @ X116 @ tptp1 ) ) )
            & ( ( occurrence_of @ X114 @ tptp1 )
             => ~ ? [X115: $i] :
                    ( ( min_precedes @ X113 @ X115 @ tptp0 )
                    & ( occurrence_of @ X115 @ tptp2 ) ) )
            & ( leaf_occ @ X114 @ X112 )
            & ( min_precedes @ X113 @ X114 @ tptp0 )
            & ( ( occurrence_of @ X114 @ tptp2 )
              | ( occurrence_of @ X114 @ tptp1 ) )
            & ( next_subocc @ X111 @ X113 @ tptp0 )
            & ( occurrence_of @ X113 @ tptp3 ) ) ),
    inference('cnf.neg',[status(esa)],[goals]) ).

thf(zip_derived_cl104,plain,
    subactivity_occurrence @ sk__18 @ sk__19,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl105,plain,
    occurrence_of @ sk__19 @ tptp0,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(sos_35,axiom,
    ! [X105: $i,X106: $i] :
      ( ( ( occurrence_of @ X106 @ tptp0 )
        & ( subactivity_occurrence @ X105 @ X106 )
        & ( arboreal @ X105 )
        & ~ ( leaf_occ @ X105 @ X106 ) )
     => ? [X107: $i,X108: $i,X109: $i] :
          ( ! [X110: $i] :
              ( ( min_precedes @ X107 @ X110 @ tptp0 )
             => ( ( X110 = X108 )
                | ( X110 = X109 ) ) )
          & ( min_precedes @ X108 @ X109 @ tptp0 )
          & ( ( occurrence_of @ X109 @ tptp2 )
            | ( occurrence_of @ X109 @ tptp1 ) )
          & ( min_precedes @ X107 @ X108 @ tptp0 )
          & ( occurrence_of @ X108 @ tptp4 )
          & ( next_subocc @ X105 @ X107 @ tptp0 )
          & ( occurrence_of @ X107 @ tptp3 ) ) ) ).

thf(zip_derived_cl68,plain,
    ! [X0: $i,X1: $i] :
      ( ( next_subocc @ X0 @ ( sk__15 @ X0 ) @ tptp0 )
      | ~ ( arboreal @ X0 )
      | ~ ( occurrence_of @ X1 @ tptp0 )
      | ~ ( subactivity_occurrence @ X0 @ X1 )
      | ( leaf_occ @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[sos_35]) ).

thf(zip_derived_cl544,plain,
    ! [X0: $i] :
      ( ( next_subocc @ X0 @ ( sk__15 @ X0 ) @ tptp0 )
      | ~ ( arboreal @ X0 )
      | ~ ( subactivity_occurrence @ X0 @ sk__19 )
      | ( leaf_occ @ X0 @ sk__19 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl105,zip_derived_cl68]) ).

thf(zip_derived_cl1034,plain,
    ( ( next_subocc @ sk__18 @ ( sk__15 @ sk__18 ) @ tptp0 )
    | ~ ( arboreal @ sk__18 )
    | ( leaf_occ @ sk__18 @ sk__19 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl104,zip_derived_cl544]) ).

thf(zip_derived_cl106,plain,
    arboreal @ sk__18,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl103,plain,
    ~ ( leaf_occ @ sk__18 @ sk__19 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl1037,plain,
    next_subocc @ sk__18 @ ( sk__15 @ sk__18 ) @ tptp0,
    inference(demod,[status(thm)],[zip_derived_cl1034,zip_derived_cl106,zip_derived_cl103]) ).

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_cl1038,plain,
    min_precedes @ sk__18 @ ( sk__15 @ sk__18 ) @ tptp0,
    inference('s_sup-',[status(thm)],[zip_derived_cl1037,zip_derived_cl35]) ).

thf(sos_25,axiom,
    ! [X69: $i,X70: $i,X71: $i] :
      ( ( min_precedes @ X70 @ X71 @ X69 )
     => ? [X72: $i] :
          ( ( subactivity_occurrence @ X71 @ X72 )
          & ( subactivity_occurrence @ X70 @ X72 )
          & ( occurrence_of @ X72 @ X69 ) ) ) ).

thf(zip_derived_cl45,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( subactivity_occurrence @ X0 @ ( sk__9 @ X0 @ X1 @ X2 ) )
      | ~ ( min_precedes @ X1 @ X0 @ X2 ) ),
    inference(cnf,[status(esa)],[sos_25]) ).

thf(zip_derived_cl1048,plain,
    subactivity_occurrence @ ( sk__15 @ sk__18 ) @ ( sk__9 @ ( sk__15 @ sk__18 ) @ sk__18 @ tptp0 ),
    inference('s_sup-',[status(thm)],[zip_derived_cl1038,zip_derived_cl45]) ).

thf(zip_derived_cl1038_001,plain,
    min_precedes @ sk__18 @ ( sk__15 @ sk__18 ) @ tptp0,
    inference('s_sup-',[status(thm)],[zip_derived_cl1037,zip_derived_cl35]) ).

thf(zip_derived_cl47,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( occurrence_of @ ( sk__9 @ X0 @ X1 @ X2 ) @ X2 )
      | ~ ( min_precedes @ X1 @ X0 @ X2 ) ),
    inference(cnf,[status(esa)],[sos_25]) ).

thf(zip_derived_cl1049,plain,
    occurrence_of @ ( sk__9 @ ( sk__15 @ sk__18 ) @ sk__18 @ tptp0 ) @ tptp0,
    inference('s_sup-',[status(thm)],[zip_derived_cl1038,zip_derived_cl47]) ).

thf(zip_derived_cl69,plain,
    ! [X0: $i,X1: $i] :
      ( ( occurrence_of @ ( sk__15 @ X0 ) @ tptp3 )
      | ~ ( arboreal @ X0 )
      | ~ ( occurrence_of @ X1 @ tptp0 )
      | ~ ( subactivity_occurrence @ X0 @ X1 )
      | ( leaf_occ @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[sos_35]) ).

thf(zip_derived_cl1130,plain,
    ! [X0: $i] :
      ( ( occurrence_of @ ( sk__15 @ X0 ) @ tptp3 )
      | ~ ( arboreal @ X0 )
      | ~ ( subactivity_occurrence @ X0 @ ( sk__9 @ ( sk__15 @ sk__18 ) @ sk__18 @ tptp0 ) )
      | ( leaf_occ @ X0 @ ( sk__9 @ ( sk__15 @ sk__18 ) @ sk__18 @ tptp0 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl1049,zip_derived_cl69]) ).

thf(zip_derived_cl11000,plain,
    ( ( occurrence_of @ ( sk__15 @ ( sk__15 @ sk__18 ) ) @ tptp3 )
    | ~ ( arboreal @ ( sk__15 @ sk__18 ) )
    | ( leaf_occ @ ( sk__15 @ sk__18 ) @ ( sk__9 @ ( sk__15 @ sk__18 ) @ sk__18 @ tptp0 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl1048,zip_derived_cl1130]) ).

thf(zip_derived_cl104_002,plain,
    subactivity_occurrence @ sk__18 @ sk__19,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl105_003,plain,
    occurrence_of @ sk__19 @ tptp0,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl69_004,plain,
    ! [X0: $i,X1: $i] :
      ( ( occurrence_of @ ( sk__15 @ X0 ) @ tptp3 )
      | ~ ( arboreal @ X0 )
      | ~ ( occurrence_of @ X1 @ tptp0 )
      | ~ ( subactivity_occurrence @ X0 @ X1 )
      | ( leaf_occ @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[sos_35]) ).

thf(zip_derived_cl561,plain,
    ! [X0: $i] :
      ( ( occurrence_of @ ( sk__15 @ X0 ) @ tptp3 )
      | ~ ( arboreal @ X0 )
      | ~ ( subactivity_occurrence @ X0 @ sk__19 )
      | ( leaf_occ @ X0 @ sk__19 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl105,zip_derived_cl69]) ).

thf(zip_derived_cl647,plain,
    ( ( occurrence_of @ ( sk__15 @ sk__18 ) @ tptp3 )
    | ~ ( arboreal @ sk__18 )
    | ( leaf_occ @ sk__18 @ sk__19 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl104,zip_derived_cl561]) ).

thf(zip_derived_cl106_005,plain,
    arboreal @ sk__18,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl103_006,plain,
    ~ ( leaf_occ @ sk__18 @ sk__19 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl649,plain,
    occurrence_of @ ( sk__15 @ sk__18 ) @ tptp3,
    inference(demod,[status(thm)],[zip_derived_cl647,zip_derived_cl106,zip_derived_cl103]) ).

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_cl651,plain,
    ( ~ ( atomic @ tptp3 )
    | ( arboreal @ ( sk__15 @ sk__18 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl649,zip_derived_cl9]) ).

thf(sos_41,axiom,
    atomic @ tptp3 ).

thf(zip_derived_cl78,plain,
    atomic @ tptp3,
    inference(cnf,[status(esa)],[sos_41]) ).

thf(zip_derived_cl664,plain,
    arboreal @ ( sk__15 @ sk__18 ),
    inference(demod,[status(thm)],[zip_derived_cl651,zip_derived_cl78]) ).

thf(zip_derived_cl11017,plain,
    ( ( occurrence_of @ ( sk__15 @ ( sk__15 @ sk__18 ) ) @ tptp3 )
    | ( leaf_occ @ ( sk__15 @ sk__18 ) @ ( sk__9 @ ( sk__15 @ sk__18 ) @ sk__18 @ tptp0 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl11000,zip_derived_cl664]) ).

thf(zip_derived_cl1049_007,plain,
    occurrence_of @ ( sk__9 @ ( sk__15 @ sk__18 ) @ sk__18 @ tptp0 ) @ tptp0,
    inference('s_sup-',[status(thm)],[zip_derived_cl1038,zip_derived_cl47]) ).

thf(sos_02,axiom,
    ! [X4: $i,X5: $i,X6: $i] :
      ( ( ( occurrence_of @ X4 @ X5 )
        & ( occurrence_of @ X4 @ X6 ) )
     => ( X5 = X6 ) ) ).

thf(zip_derived_cl4,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( occurrence_of @ X0 @ X1 )
      | ~ ( occurrence_of @ X0 @ X2 )
      | ( X1 = X2 ) ),
    inference(cnf,[status(esa)],[sos_02]) ).

thf(zip_derived_cl1120,plain,
    ! [X0: $i] :
      ( ~ ( occurrence_of @ ( sk__9 @ ( sk__15 @ sk__18 ) @ sk__18 @ tptp0 ) @ X0 )
      | ( tptp0 = X0 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl1049,zip_derived_cl4]) ).

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_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_cl1158,plain,
    ! [X0: $i] :
      ( ( tptp0
        = ( sk__14 @ ( sk__9 @ ( sk__15 @ sk__18 ) @ sk__18 @ tptp0 ) @ X0 ) )
      | ~ ( leaf_occ @ X0 @ ( sk__9 @ ( sk__15 @ sk__18 ) @ sk__18 @ tptp0 ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl1120,zip_derived_cl63]) ).

thf(zip_derived_cl64,plain,
    ! [X0: $i,X1: $i] :
      ( ( leaf @ X0 @ ( sk__14 @ X1 @ X0 ) )
      | ~ ( leaf_occ @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[sos_34]) ).

thf(zip_derived_cl3968,plain,
    ! [X0: $i] :
      ( ~ ( leaf_occ @ X0 @ ( sk__9 @ ( sk__15 @ sk__18 ) @ sk__18 @ tptp0 ) )
      | ( leaf @ X0 @ tptp0 )
      | ~ ( leaf_occ @ X0 @ ( sk__9 @ ( sk__15 @ sk__18 ) @ sk__18 @ tptp0 ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl1158,zip_derived_cl64]) ).

thf(zip_derived_cl3971,plain,
    ! [X0: $i] :
      ( ( leaf @ X0 @ tptp0 )
      | ~ ( leaf_occ @ X0 @ ( sk__9 @ ( sk__15 @ sk__18 ) @ sk__18 @ tptp0 ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl3968]) ).

thf(zip_derived_cl30460,plain,
    ( ( occurrence_of @ ( sk__15 @ ( sk__15 @ sk__18 ) ) @ tptp3 )
    | ( leaf @ ( sk__15 @ sk__18 ) @ tptp0 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl11017,zip_derived_cl3971]) ).

thf(zip_derived_cl104_008,plain,
    subactivity_occurrence @ sk__18 @ sk__19,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl105_009,plain,
    occurrence_of @ sk__19 @ tptp0,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl66,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_35]) ).

thf(zip_derived_cl521,plain,
    ! [X0: $i] :
      ( ( min_precedes @ ( sk__15 @ X0 ) @ ( sk__16 @ X0 ) @ tptp0 )
      | ~ ( arboreal @ X0 )
      | ~ ( subactivity_occurrence @ X0 @ sk__19 )
      | ( leaf_occ @ X0 @ sk__19 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl105,zip_derived_cl66]) ).

thf(zip_derived_cl4312,plain,
    ( ( min_precedes @ ( sk__15 @ sk__18 ) @ ( sk__16 @ sk__18 ) @ tptp0 )
    | ~ ( arboreal @ sk__18 )
    | ( leaf_occ @ sk__18 @ sk__19 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl104,zip_derived_cl521]) ).

thf(zip_derived_cl106_010,plain,
    arboreal @ sk__18,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl103_011,plain,
    ~ ( leaf_occ @ sk__18 @ sk__19 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl4317,plain,
    min_precedes @ ( sk__15 @ sk__18 ) @ ( sk__16 @ sk__18 ) @ tptp0,
    inference(demod,[status(thm)],[zip_derived_cl4312,zip_derived_cl106,zip_derived_cl103]) ).

thf(sos_21,axiom,
    ! [X56: $i,X57: $i] :
      ( ( leaf @ X56 @ X57 )
    <=> ( ( ( root @ X56 @ X57 )
          | ? [X58: $i] : ( min_precedes @ X58 @ X56 @ X57 ) )
        & ~ ? [X59: $i] : ( min_precedes @ X56 @ X59 @ X57 ) ) ) ).

thf(zip_derived_cl32,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( min_precedes @ X0 @ X1 @ X2 )
      | ~ ( leaf @ X0 @ X2 ) ),
    inference(cnf,[status(esa)],[sos_21]) ).

thf(zip_derived_cl4321,plain,
    ~ ( leaf @ ( sk__15 @ sk__18 ) @ tptp0 ),
    inference('s_sup-',[status(thm)],[zip_derived_cl4317,zip_derived_cl32]) ).

thf(zip_derived_cl30461,plain,
    occurrence_of @ ( sk__15 @ ( sk__15 @ sk__18 ) ) @ tptp3,
    inference(demod,[status(thm)],[zip_derived_cl30460,zip_derived_cl4321]) ).

thf(sos_01,axiom,
    ! [X2: $i] :
      ( ( activity_occurrence @ X2 )
     => ? [X3: $i] :
          ( ( occurrence_of @ X2 @ X3 )
          & ( activity @ X3 ) ) ) ).

thf(zip_derived_cl2,plain,
    ! [X0: $i] :
      ( ( occurrence_of @ X0 @ ( sk_ @ X0 ) )
      | ~ ( activity_occurrence @ X0 ) ),
    inference(cnf,[status(esa)],[sos_01]) ).

thf(zip_derived_cl4_012,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( occurrence_of @ X0 @ X1 )
      | ~ ( occurrence_of @ X0 @ X2 )
      | ( X1 = X2 ) ),
    inference(cnf,[status(esa)],[sos_02]) ).

thf(zip_derived_cl115,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( activity_occurrence @ X0 )
      | ~ ( occurrence_of @ X0 @ X1 )
      | ( ( sk_ @ X0 )
        = X1 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl2,zip_derived_cl4]) ).

thf(sos,axiom,
    ! [X0: $i,X1: $i] :
      ( ( occurrence_of @ X1 @ X0 )
     => ( ( activity @ X0 )
        & ( activity_occurrence @ X1 ) ) ) ).

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

thf(zip_derived_cl131,plain,
    ! [X0: $i,X1: $i] :
      ( ( ( sk_ @ X0 )
        = X1 )
      | ~ ( occurrence_of @ X0 @ X1 ) ),
    inference(clc,[status(thm)],[zip_derived_cl115,zip_derived_cl1]) ).

thf(zip_derived_cl30471,plain,
    ( ( sk_ @ ( sk__15 @ ( sk__15 @ sk__18 ) ) )
    = tptp3 ),
    inference('s_sup-',[status(thm)],[zip_derived_cl30461,zip_derived_cl131]) ).

thf(zip_derived_cl1048_013,plain,
    subactivity_occurrence @ ( sk__15 @ sk__18 ) @ ( sk__9 @ ( sk__15 @ sk__18 ) @ sk__18 @ tptp0 ),
    inference('s_sup-',[status(thm)],[zip_derived_cl1038,zip_derived_cl45]) ).

thf(zip_derived_cl3971_014,plain,
    ! [X0: $i] :
      ( ( leaf @ X0 @ tptp0 )
      | ~ ( leaf_occ @ X0 @ ( sk__9 @ ( sk__15 @ sk__18 ) @ sk__18 @ tptp0 ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl3968]) ).

thf(zip_derived_cl68_015,plain,
    ! [X0: $i,X1: $i] :
      ( ( next_subocc @ X0 @ ( sk__15 @ X0 ) @ tptp0 )
      | ~ ( arboreal @ X0 )
      | ~ ( occurrence_of @ X1 @ tptp0 )
      | ~ ( subactivity_occurrence @ X0 @ X1 )
      | ( leaf_occ @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[sos_35]) ).

thf(zip_derived_cl3975,plain,
    ! [X0: $i] :
      ( ( leaf @ X0 @ tptp0 )
      | ( next_subocc @ X0 @ ( sk__15 @ X0 ) @ tptp0 )
      | ~ ( arboreal @ X0 )
      | ~ ( occurrence_of @ ( sk__9 @ ( sk__15 @ sk__18 ) @ sk__18 @ tptp0 ) @ tptp0 )
      | ~ ( subactivity_occurrence @ X0 @ ( sk__9 @ ( sk__15 @ sk__18 ) @ sk__18 @ tptp0 ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl3971,zip_derived_cl68]) ).

thf(zip_derived_cl1049_016,plain,
    occurrence_of @ ( sk__9 @ ( sk__15 @ sk__18 ) @ sk__18 @ tptp0 ) @ tptp0,
    inference('s_sup-',[status(thm)],[zip_derived_cl1038,zip_derived_cl47]) ).

thf(zip_derived_cl3984,plain,
    ! [X0: $i] :
      ( ( leaf @ X0 @ tptp0 )
      | ( next_subocc @ X0 @ ( sk__15 @ X0 ) @ tptp0 )
      | ~ ( arboreal @ X0 )
      | ~ ( subactivity_occurrence @ X0 @ ( sk__9 @ ( sk__15 @ sk__18 ) @ sk__18 @ tptp0 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl3975,zip_derived_cl1049]) ).

thf(zip_derived_cl70998,plain,
    ( ( leaf @ ( sk__15 @ sk__18 ) @ tptp0 )
    | ( next_subocc @ ( sk__15 @ sk__18 ) @ ( sk__15 @ ( sk__15 @ sk__18 ) ) @ tptp0 )
    | ~ ( arboreal @ ( sk__15 @ sk__18 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl1048,zip_derived_cl3984]) ).

thf(zip_derived_cl4321_017,plain,
    ~ ( leaf @ ( sk__15 @ sk__18 ) @ tptp0 ),
    inference('s_sup-',[status(thm)],[zip_derived_cl4317,zip_derived_cl32]) ).

thf(zip_derived_cl664_018,plain,
    arboreal @ ( sk__15 @ sk__18 ),
    inference(demod,[status(thm)],[zip_derived_cl651,zip_derived_cl78]) ).

thf(zip_derived_cl71030,plain,
    next_subocc @ ( sk__15 @ sk__18 ) @ ( sk__15 @ ( sk__15 @ sk__18 ) ) @ tptp0,
    inference(demod,[status(thm)],[zip_derived_cl70998,zip_derived_cl4321,zip_derived_cl664]) ).

thf(zip_derived_cl35_019,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_cl71552,plain,
    min_precedes @ ( sk__15 @ sk__18 ) @ ( sk__15 @ ( sk__15 @ sk__18 ) ) @ tptp0,
    inference('s_sup-',[status(thm)],[zip_derived_cl71030,zip_derived_cl35]) ).

thf(zip_derived_cl104_020,plain,
    subactivity_occurrence @ sk__18 @ sk__19,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl105_021,plain,
    occurrence_of @ sk__19 @ tptp0,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl72,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( min_precedes @ ( sk__15 @ X0 ) @ X1 @ tptp0 )
      | ( X1
        = ( sk__16 @ X0 ) )
      | ( X1
        = ( sk__17 @ X0 ) )
      | ~ ( arboreal @ X0 )
      | ~ ( occurrence_of @ X2 @ tptp0 )
      | ~ ( subactivity_occurrence @ X0 @ X2 )
      | ( leaf_occ @ X0 @ X2 ) ),
    inference(cnf,[status(esa)],[sos_35]) ).

thf(zip_derived_cl744,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( min_precedes @ ( sk__15 @ X1 ) @ X0 @ tptp0 )
      | ( X0
        = ( sk__16 @ X1 ) )
      | ( X0
        = ( sk__17 @ X1 ) )
      | ~ ( arboreal @ X1 )
      | ~ ( subactivity_occurrence @ X1 @ sk__19 )
      | ( leaf_occ @ X1 @ sk__19 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl105,zip_derived_cl72]) ).

thf(zip_derived_cl6685,plain,
    ! [X0: $i] :
      ( ~ ( min_precedes @ ( sk__15 @ sk__18 ) @ X0 @ tptp0 )
      | ( X0
        = ( sk__16 @ sk__18 ) )
      | ( X0
        = ( sk__17 @ sk__18 ) )
      | ~ ( arboreal @ sk__18 )
      | ( leaf_occ @ sk__18 @ sk__19 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl104,zip_derived_cl744]) ).

thf(zip_derived_cl106_022,plain,
    arboreal @ sk__18,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl103_023,plain,
    ~ ( leaf_occ @ sk__18 @ sk__19 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl6690,plain,
    ! [X0: $i] :
      ( ~ ( min_precedes @ ( sk__15 @ sk__18 ) @ X0 @ tptp0 )
      | ( X0
        = ( sk__16 @ sk__18 ) )
      | ( X0
        = ( sk__17 @ sk__18 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl6685,zip_derived_cl106,zip_derived_cl103]) ).

thf(zip_derived_cl71639,plain,
    ( ( ( sk__15 @ ( sk__15 @ sk__18 ) )
      = ( sk__16 @ sk__18 ) )
    | ( ( sk__15 @ ( sk__15 @ sk__18 ) )
      = ( sk__17 @ sk__18 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl71552,zip_derived_cl6690]) ).

thf(zip_derived_cl3984_024,plain,
    ! [X0: $i] :
      ( ( leaf @ X0 @ tptp0 )
      | ( next_subocc @ X0 @ ( sk__15 @ X0 ) @ tptp0 )
      | ~ ( arboreal @ X0 )
      | ~ ( subactivity_occurrence @ X0 @ ( sk__9 @ ( sk__15 @ sk__18 ) @ sk__18 @ tptp0 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl3975,zip_derived_cl1049]) ).

thf(zip_derived_cl72855,plain,
    ( ( ( sk__15 @ ( sk__15 @ sk__18 ) )
      = ( sk__16 @ sk__18 ) )
    | ( leaf @ ( sk__15 @ sk__18 ) @ tptp0 )
    | ( next_subocc @ ( sk__15 @ sk__18 ) @ ( sk__17 @ sk__18 ) @ tptp0 )
    | ~ ( arboreal @ ( sk__15 @ sk__18 ) )
    | ~ ( subactivity_occurrence @ ( sk__15 @ sk__18 ) @ ( sk__9 @ ( sk__15 @ sk__18 ) @ sk__18 @ tptp0 ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl71639,zip_derived_cl3984]) ).

thf(zip_derived_cl4321_025,plain,
    ~ ( leaf @ ( sk__15 @ sk__18 ) @ tptp0 ),
    inference('s_sup-',[status(thm)],[zip_derived_cl4317,zip_derived_cl32]) ).

thf(zip_derived_cl104_026,plain,
    subactivity_occurrence @ sk__18 @ sk__19,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl105_027,plain,
    occurrence_of @ sk__19 @ tptp0,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl71,plain,
    ! [X0: $i,X1: $i] :
      ( ( min_precedes @ ( sk__16 @ X0 ) @ ( sk__17 @ X0 ) @ tptp0 )
      | ~ ( arboreal @ X0 )
      | ~ ( occurrence_of @ X1 @ tptp0 )
      | ~ ( subactivity_occurrence @ X0 @ X1 )
      | ( leaf_occ @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[sos_35]) ).

thf(zip_derived_cl709,plain,
    ! [X0: $i] :
      ( ( min_precedes @ ( sk__16 @ X0 ) @ ( sk__17 @ X0 ) @ tptp0 )
      | ~ ( arboreal @ X0 )
      | ~ ( subactivity_occurrence @ X0 @ sk__19 )
      | ( leaf_occ @ X0 @ sk__19 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl105,zip_derived_cl71]) ).

thf(zip_derived_cl6488,plain,
    ( ( min_precedes @ ( sk__16 @ sk__18 ) @ ( sk__17 @ sk__18 ) @ tptp0 )
    | ~ ( arboreal @ sk__18 )
    | ( leaf_occ @ sk__18 @ sk__19 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl104,zip_derived_cl709]) ).

thf(zip_derived_cl106_028,plain,
    arboreal @ sk__18,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl103_029,plain,
    ~ ( leaf_occ @ sk__18 @ sk__19 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl6493,plain,
    min_precedes @ ( sk__16 @ sk__18 ) @ ( sk__17 @ sk__18 ) @ tptp0,
    inference(demod,[status(thm)],[zip_derived_cl6488,zip_derived_cl106,zip_derived_cl103]) ).

thf(zip_derived_cl4317_030,plain,
    min_precedes @ ( sk__15 @ sk__18 ) @ ( sk__16 @ sk__18 ) @ tptp0,
    inference(demod,[status(thm)],[zip_derived_cl4312,zip_derived_cl106,zip_derived_cl103]) ).

thf(zip_derived_cl36,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_22]) ).

thf(zip_derived_cl4322,plain,
    ! [X0: $i] :
      ( ~ ( min_precedes @ ( sk__16 @ sk__18 ) @ X0 @ tptp0 )
      | ~ ( next_subocc @ ( sk__15 @ sk__18 ) @ X0 @ tptp0 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl4317,zip_derived_cl36]) ).

thf(zip_derived_cl6515,plain,
    ~ ( next_subocc @ ( sk__15 @ sk__18 ) @ ( sk__17 @ sk__18 ) @ tptp0 ),
    inference('s_sup-',[status(thm)],[zip_derived_cl6493,zip_derived_cl4322]) ).

thf(zip_derived_cl664_031,plain,
    arboreal @ ( sk__15 @ sk__18 ),
    inference(demod,[status(thm)],[zip_derived_cl651,zip_derived_cl78]) ).

thf(zip_derived_cl1048_032,plain,
    subactivity_occurrence @ ( sk__15 @ sk__18 ) @ ( sk__9 @ ( sk__15 @ sk__18 ) @ sk__18 @ tptp0 ),
    inference('s_sup-',[status(thm)],[zip_derived_cl1038,zip_derived_cl45]) ).

thf(zip_derived_cl72999,plain,
    ( ( sk__15 @ ( sk__15 @ sk__18 ) )
    = ( sk__16 @ sk__18 ) ),
    inference(demod,[status(thm)],[zip_derived_cl72855,zip_derived_cl4321,zip_derived_cl6515,zip_derived_cl664,zip_derived_cl1048]) ).

thf(zip_derived_cl104_033,plain,
    subactivity_occurrence @ sk__18 @ sk__19,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl105_034,plain,
    occurrence_of @ sk__19 @ tptp0,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl67,plain,
    ! [X0: $i,X1: $i] :
      ( ( occurrence_of @ ( sk__16 @ X0 ) @ tptp4 )
      | ~ ( arboreal @ X0 )
      | ~ ( occurrence_of @ X1 @ tptp0 )
      | ~ ( subactivity_occurrence @ X0 @ X1 )
      | ( leaf_occ @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[sos_35]) ).

thf(zip_derived_cl459,plain,
    ! [X0: $i] :
      ( ( occurrence_of @ ( sk__16 @ X0 ) @ tptp4 )
      | ~ ( arboreal @ X0 )
      | ~ ( subactivity_occurrence @ X0 @ sk__19 )
      | ( leaf_occ @ X0 @ sk__19 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl105,zip_derived_cl67]) ).

thf(zip_derived_cl465,plain,
    ( ( occurrence_of @ ( sk__16 @ sk__18 ) @ tptp4 )
    | ~ ( arboreal @ sk__18 )
    | ( leaf_occ @ sk__18 @ sk__19 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl104,zip_derived_cl459]) ).

thf(zip_derived_cl106_035,plain,
    arboreal @ sk__18,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl103_036,plain,
    ~ ( leaf_occ @ sk__18 @ sk__19 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl467,plain,
    occurrence_of @ ( sk__16 @ sk__18 ) @ tptp4,
    inference(demod,[status(thm)],[zip_derived_cl465,zip_derived_cl106,zip_derived_cl103]) ).

thf(zip_derived_cl131_037,plain,
    ! [X0: $i,X1: $i] :
      ( ( ( sk_ @ X0 )
        = X1 )
      | ~ ( occurrence_of @ X0 @ X1 ) ),
    inference(clc,[status(thm)],[zip_derived_cl115,zip_derived_cl1]) ).

thf(zip_derived_cl477,plain,
    ( ( sk_ @ ( sk__16 @ sk__18 ) )
    = tptp4 ),
    inference('s_sup-',[status(thm)],[zip_derived_cl467,zip_derived_cl131]) ).

thf(zip_derived_cl73031,plain,
    tptp4 = tptp3,
    inference(demod,[status(thm)],[zip_derived_cl30471,zip_derived_cl72999,zip_derived_cl477]) ).

thf(sos_42,axiom,
    tptp4 != tptp3 ).

thf(zip_derived_cl79,plain,
    tptp4 != tptp3,
    inference(cnf,[status(esa)],[sos_42]) ).

thf(zip_derived_cl73032,plain,
    $false,
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl73031,zip_derived_cl79]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : PRO018+1 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.13  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.0EuDbxxrwF true
% 0.14/0.35  % Computer : n025.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit : 300
% 0.14/0.35  % WCLimit  : 300
% 0.14/0.35  % DateTime : Mon Aug 28 19:29:40 EDT 2023
% 0.14/0.35  % CPUTime  : 
% 0.14/0.35  % Running portfolio for 300 s
% 0.14/0.35  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.14/0.35  % Number of cores: 8
% 0.14/0.35  % Python version: Python 3.6.8
% 0.14/0.35  % Running in FO mode
% 0.22/0.65  % Total configuration time : 435
% 0.22/0.65  % Estimated wc time : 1092
% 0.22/0.65  % Estimated cpu time (7 cpus) : 156.0
% 0.22/0.72  % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.22/0.76  % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.22/0.77  % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.22/0.77  % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.22/0.77  % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.22/0.77  % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.22/0.81  % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 93.90/14.01  % Solved by fo/fo13.sh.
% 93.90/14.01  % done 9563 iterations in 13.211s
% 93.90/14.01  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 93.90/14.01  % SZS output start Refutation
% See solution above
% 93.90/14.01  
% 93.90/14.01  
% 93.90/14.01  % Terminating...
% 94.03/14.09  % Runner terminated.
% 94.03/14.10  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------