TSTP Solution File: PRO014+1 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : PRO014+1 : TPTP v8.1.2. Released v4.0.0.
% Transfm  : NO INFORMATION
% Format   : NO INFORMATION
% Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.ydy81Ir0Lx true

% Computer : n023.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 13:10:42 EDT 2023

% Result   : Theorem 254.04s 37.02s
% Output   : Refutation 254.04s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   28
%            Number of leaves      :   39
% Syntax   : Number of formulae    :  219 (  92 unt;  23 typ;   0 def)
%            Number of atoms       :  442 (  10 equ;   0 cnn)
%            Maximal formula atoms :   12 (   2 avg)
%            Number of connectives : 1826 ( 184   ~; 188   |;  41   &;1396   @)
%                                         (   3 <=>;  14  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   16 (   7 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   30 (  30   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   25 (  23 usr;   8 con; 0-3 aty)
%            Number of variables   :  192 (   0   ^; 180   !;  12   ?; 192   :)

% Comments : 
%------------------------------------------------------------------------------
thf(sk__18_type,type,
    sk__18: $i ).

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

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

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

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

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

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

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

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

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

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

thf(sk__15_type,type,
    sk__15: $i > $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(tptp2_type,type,
    tptp2: $i ).

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

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

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

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

thf(goals,conjecture,
    ! [X110: $i,X111: $i] :
      ( ( ( occurrence_of @ X111 @ tptp0 )
        & ( subactivity_occurrence @ X110 @ X111 )
        & ( arboreal @ X110 )
        & ~ ( leaf_occ @ X110 @ X111 ) )
     => ? [X112: $i,X113: $i] :
          ( ( leaf @ X113 @ tptp0 )
          & ( min_precedes @ X112 @ X113 @ tptp0 )
          & ( ( occurrence_of @ X113 @ tptp1 )
            | ( occurrence_of @ X113 @ tptp2 ) )
          & ( next_subocc @ X110 @ X112 @ tptp0 )
          & ( occurrence_of @ X112 @ tptp3 ) ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ! [X110: $i,X111: $i] :
        ( ( ( occurrence_of @ X111 @ tptp0 )
          & ( subactivity_occurrence @ X110 @ X111 )
          & ( arboreal @ X110 )
          & ~ ( leaf_occ @ X110 @ X111 ) )
       => ? [X112: $i,X113: $i] :
            ( ( leaf @ X113 @ tptp0 )
            & ( min_precedes @ X112 @ X113 @ tptp0 )
            & ( ( occurrence_of @ X113 @ tptp1 )
              | ( occurrence_of @ X113 @ tptp2 ) )
            & ( next_subocc @ X110 @ X112 @ tptp0 )
            & ( occurrence_of @ X112 @ tptp3 ) ) ),
    inference('cnf.neg',[status(esa)],[goals]) ).

thf(zip_derived_cl86,plain,
    subactivity_occurrence @ sk__18 @ sk__19,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl87,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] :
          ( ( leaf @ X109 @ tptp0 )
          & ( next_subocc @ X108 @ X109 @ tptp0 )
          & ( ( occurrence_of @ X109 @ tptp1 )
            | ( occurrence_of @ X109 @ tptp2 ) )
          & ( next_subocc @ 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_cl520,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_cl87,zip_derived_cl68]) ).

thf(zip_derived_cl1150,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_cl86,zip_derived_cl520]) ).

thf(zip_derived_cl88,plain,
    arboreal @ sk__18,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl85,plain,
    ~ ( leaf_occ @ sk__18 @ sk__19 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl1154,plain,
    next_subocc @ sk__18 @ ( sk__15 @ sk__18 ) @ tptp0,
    inference(demod,[status(thm)],[zip_derived_cl1150,zip_derived_cl88,zip_derived_cl85]) ).

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_cl1157,plain,
    min_precedes @ sk__18 @ ( sk__15 @ sk__18 ) @ tptp0,
    inference('s_sup-',[status(thm)],[zip_derived_cl1154,zip_derived_cl35]) ).

thf(sos_13,axiom,
    ! [X31: $i,X32: $i,X33: $i] :
      ( ( min_precedes @ X31 @ X32 @ X33 )
     => ? [X34: $i] :
          ( ( min_precedes @ X34 @ X32 @ X33 )
          & ( root @ X34 @ X33 ) ) ) ).

thf(zip_derived_cl22,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( min_precedes @ ( sk__4 @ X0 @ X1 ) @ X1 @ X0 )
      | ~ ( min_precedes @ X2 @ X1 @ X0 ) ),
    inference(cnf,[status(esa)],[sos_13]) ).

thf(zip_derived_cl1173,plain,
    min_precedes @ ( sk__4 @ tptp0 @ ( sk__15 @ sk__18 ) ) @ ( sk__15 @ sk__18 ) @ tptp0,
    inference('s_sup-',[status(thm)],[zip_derived_cl1157,zip_derived_cl22]) ).

thf(zip_derived_cl86_001,plain,
    subactivity_occurrence @ sk__18 @ sk__19,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl87_002,plain,
    occurrence_of @ sk__19 @ tptp0,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl71,plain,
    ! [X0: $i,X1: $i] :
      ( ( next_subocc @ ( 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_cl598,plain,
    ! [X0: $i] :
      ( ( next_subocc @ ( 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_cl87,zip_derived_cl71]) ).

thf(zip_derived_cl4601,plain,
    ( ( next_subocc @ ( 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_cl86,zip_derived_cl598]) ).

thf(zip_derived_cl88_003,plain,
    arboreal @ sk__18,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl85_004,plain,
    ~ ( leaf_occ @ sk__18 @ sk__19 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl4605,plain,
    next_subocc @ ( sk__16 @ sk__18 ) @ ( sk__17 @ sk__18 ) @ tptp0,
    inference(demod,[status(thm)],[zip_derived_cl4601,zip_derived_cl88,zip_derived_cl85]) ).

thf(zip_derived_cl35_005,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_cl4606,plain,
    min_precedes @ ( sk__16 @ sk__18 ) @ ( sk__17 @ sk__18 ) @ tptp0,
    inference('s_sup-',[status(thm)],[zip_derived_cl4605,zip_derived_cl35]) ).

thf(zip_derived_cl22_006,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( min_precedes @ ( sk__4 @ X0 @ X1 ) @ X1 @ X0 )
      | ~ ( min_precedes @ X2 @ X1 @ X0 ) ),
    inference(cnf,[status(esa)],[sos_13]) ).

thf(zip_derived_cl4623,plain,
    min_precedes @ ( sk__4 @ tptp0 @ ( sk__17 @ sk__18 ) ) @ ( sk__17 @ sk__18 ) @ tptp0,
    inference('s_sup-',[status(thm)],[zip_derived_cl4606,zip_derived_cl22]) ).

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_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_cl5131,plain,
    occurrence_of @ ( sk__9 @ ( sk__17 @ sk__18 ) @ ( sk__4 @ tptp0 @ ( sk__17 @ sk__18 ) ) @ tptp0 ) @ tptp0,
    inference('s_sup-',[status(thm)],[zip_derived_cl4623,zip_derived_cl47]) ).

thf(zip_derived_cl4606_007,plain,
    min_precedes @ ( sk__16 @ sk__18 ) @ ( sk__17 @ sk__18 ) @ tptp0,
    inference('s_sup-',[status(thm)],[zip_derived_cl4605,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_cl4609,plain,
    precedes @ ( sk__16 @ sk__18 ) @ ( sk__17 @ sk__18 ),
    inference('s_sup-',[status(thm)],[zip_derived_cl4606,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_cl4641,plain,
    earlier @ ( sk__16 @ sk__18 ) @ ( sk__17 @ sk__18 ),
    inference('s_sup-',[status(thm)],[zip_derived_cl4609,zip_derived_cl13]) ).

thf(zip_derived_cl86_008,plain,
    subactivity_occurrence @ sk__18 @ sk__19,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl87_009,plain,
    occurrence_of @ sk__19 @ tptp0,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl66,plain,
    ! [X0: $i,X1: $i] :
      ( ( next_subocc @ ( 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_cl449,plain,
    ! [X0: $i] :
      ( ( next_subocc @ ( 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_cl87,zip_derived_cl66]) ).

thf(zip_derived_cl3489,plain,
    ( ( next_subocc @ ( 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_cl86,zip_derived_cl449]) ).

thf(zip_derived_cl88_010,plain,
    arboreal @ sk__18,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl85_011,plain,
    ~ ( leaf_occ @ sk__18 @ sk__19 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl3493,plain,
    next_subocc @ ( sk__15 @ sk__18 ) @ ( sk__16 @ sk__18 ) @ tptp0,
    inference(demod,[status(thm)],[zip_derived_cl3489,zip_derived_cl88,zip_derived_cl85]) ).

thf(zip_derived_cl35_012,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_cl3494,plain,
    min_precedes @ ( sk__15 @ sk__18 ) @ ( sk__16 @ sk__18 ) @ tptp0,
    inference('s_sup-',[status(thm)],[zip_derived_cl3493,zip_derived_cl35]) ).

thf(zip_derived_cl25_013,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( precedes @ X0 @ X1 )
      | ~ ( min_precedes @ X0 @ X1 @ X2 ) ),
    inference(cnf,[status(esa)],[sos_15]) ).

thf(zip_derived_cl3497,plain,
    precedes @ ( sk__15 @ sk__18 ) @ ( sk__16 @ sk__18 ),
    inference('s_sup-',[status(thm)],[zip_derived_cl3494,zip_derived_cl25]) ).

thf(zip_derived_cl13_014,plain,
    ! [X0: $i,X1: $i] :
      ( ( earlier @ X0 @ X1 )
      | ~ ( precedes @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[sos_10]) ).

thf(zip_derived_cl3613,plain,
    earlier @ ( sk__15 @ sk__18 ) @ ( sk__16 @ sk__18 ),
    inference('s_sup-',[status(thm)],[zip_derived_cl3497,zip_derived_cl13]) ).

thf(sos_05,axiom,
    ! [X10: $i,X11: $i,X12: $i] :
      ( ( ( earlier @ X10 @ X11 )
        & ( earlier @ X11 @ X12 ) )
     => ( earlier @ X10 @ X12 ) ) ).

thf(zip_derived_cl7,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( earlier @ X0 @ X1 )
      | ~ ( earlier @ X1 @ X2 )
      | ( earlier @ X0 @ X2 ) ),
    inference(cnf,[status(esa)],[sos_05]) ).

thf(zip_derived_cl3723,plain,
    ! [X0: $i] :
      ( ~ ( earlier @ ( sk__16 @ sk__18 ) @ X0 )
      | ( earlier @ ( sk__15 @ sk__18 ) @ X0 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl3613,zip_derived_cl7]) ).

thf(zip_derived_cl4724,plain,
    earlier @ ( sk__15 @ sk__18 ) @ ( sk__17 @ sk__18 ),
    inference('s_sup-',[status(thm)],[zip_derived_cl4641,zip_derived_cl3723]) ).

thf(zip_derived_cl15,plain,
    ! [X0: $i,X1: $i] :
      ( ( precedes @ X0 @ X1 )
      | ~ ( legal @ X1 )
      | ~ ( earlier @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[sos_10]) ).

thf(zip_derived_cl4792,plain,
    ( ( precedes @ ( sk__15 @ sk__18 ) @ ( sk__17 @ sk__18 ) )
    | ~ ( legal @ ( sk__17 @ sk__18 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl4724,zip_derived_cl15]) ).

thf(zip_derived_cl4609_015,plain,
    precedes @ ( sk__16 @ sk__18 ) @ ( sk__17 @ sk__18 ),
    inference('s_sup-',[status(thm)],[zip_derived_cl4606,zip_derived_cl25]) ).

thf(zip_derived_cl14,plain,
    ! [X0: $i,X1: $i] :
      ( ( legal @ X0 )
      | ~ ( precedes @ X1 @ X0 ) ),
    inference(cnf,[status(esa)],[sos_10]) ).

thf(zip_derived_cl4642,plain,
    legal @ ( sk__17 @ sk__18 ),
    inference('s_sup-',[status(thm)],[zip_derived_cl4609,zip_derived_cl14]) ).

thf(zip_derived_cl4797,plain,
    precedes @ ( sk__15 @ sk__18 ) @ ( sk__17 @ sk__18 ),
    inference(demod,[status(thm)],[zip_derived_cl4792,zip_derived_cl4642]) ).

thf(zip_derived_cl1173_016,plain,
    min_precedes @ ( sk__4 @ tptp0 @ ( sk__15 @ sk__18 ) ) @ ( sk__15 @ sk__18 ) @ tptp0,
    inference('s_sup-',[status(thm)],[zip_derived_cl1157,zip_derived_cl22]) ).

thf(sos_18,axiom,
    ! [X45: $i,X46: $i,X47: $i,X48: $i] :
      ( ( ( min_precedes @ X45 @ X46 @ X48 )
        & ( min_precedes @ X45 @ X47 @ X48 )
        & ( precedes @ X46 @ X47 ) )
     => ( min_precedes @ X46 @ X47 @ X48 ) ) ).

thf(zip_derived_cl28,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ~ ( precedes @ X0 @ X1 )
      | ~ ( min_precedes @ X2 @ X0 @ X3 )
      | ~ ( min_precedes @ X2 @ X1 @ X3 )
      | ( min_precedes @ X0 @ X1 @ X3 ) ),
    inference(cnf,[status(esa)],[sos_18]) ).

thf(zip_derived_cl1478,plain,
    ! [X0: $i] :
      ( ~ ( precedes @ ( sk__15 @ sk__18 ) @ X0 )
      | ~ ( min_precedes @ ( sk__4 @ tptp0 @ ( sk__15 @ sk__18 ) ) @ X0 @ tptp0 )
      | ( min_precedes @ ( sk__15 @ sk__18 ) @ X0 @ tptp0 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl1173,zip_derived_cl28]) ).

thf(zip_derived_cl4889,plain,
    ( ~ ( min_precedes @ ( sk__4 @ tptp0 @ ( sk__15 @ sk__18 ) ) @ ( sk__17 @ sk__18 ) @ tptp0 )
    | ( min_precedes @ ( sk__15 @ sk__18 ) @ ( sk__17 @ sk__18 ) @ tptp0 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl4797,zip_derived_cl1478]) ).

thf(sos_28,axiom,
    ! [X79: $i,X80: $i,X81: $i,X82: $i] :
      ( ( ( occurrence_of @ X80 @ X79 )
        & ( arboreal @ X81 )
        & ( arboreal @ X82 )
        & ( subactivity_occurrence @ X81 @ X80 )
        & ( subactivity_occurrence @ X82 @ X80 ) )
     => ( ( min_precedes @ X81 @ X82 @ X79 )
        | ( min_precedes @ X82 @ X81 @ X79 )
        | ( X81 = X82 ) ) ) ).

thf(zip_derived_cl52,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ~ ( subactivity_occurrence @ X0 @ X1 )
      | ~ ( arboreal @ X0 )
      | ~ ( occurrence_of @ X1 @ X2 )
      | ~ ( arboreal @ X3 )
      | ~ ( subactivity_occurrence @ X3 @ X1 )
      | ( min_precedes @ X0 @ X3 @ X2 )
      | ( min_precedes @ X3 @ X0 @ X2 )
      | ( X0 = X3 ) ),
    inference(cnf,[status(esa)],[sos_28]) ).

thf(zip_derived_cl8358,plain,
    ! [X0: $i] :
      ( ( min_precedes @ ( sk__15 @ sk__18 ) @ ( sk__17 @ sk__18 ) @ tptp0 )
      | ~ ( subactivity_occurrence @ ( sk__4 @ tptp0 @ ( sk__15 @ sk__18 ) ) @ X0 )
      | ~ ( arboreal @ ( sk__4 @ tptp0 @ ( sk__15 @ sk__18 ) ) )
      | ~ ( occurrence_of @ X0 @ tptp0 )
      | ~ ( arboreal @ ( sk__17 @ sk__18 ) )
      | ~ ( subactivity_occurrence @ ( sk__17 @ sk__18 ) @ X0 )
      | ( min_precedes @ ( sk__17 @ sk__18 ) @ ( sk__4 @ tptp0 @ ( sk__15 @ sk__18 ) ) @ tptp0 )
      | ( ( sk__4 @ tptp0 @ ( sk__15 @ sk__18 ) )
        = ( sk__17 @ sk__18 ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl4889,zip_derived_cl52]) ).

thf(zip_derived_cl1157_017,plain,
    min_precedes @ sk__18 @ ( sk__15 @ sk__18 ) @ tptp0,
    inference('s_sup-',[status(thm)],[zip_derived_cl1154,zip_derived_cl35]) ).

thf(zip_derived_cl23,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( root @ ( sk__4 @ X0 @ X1 ) @ X0 )
      | ~ ( min_precedes @ X2 @ X1 @ X0 ) ),
    inference(cnf,[status(esa)],[sos_13]) ).

thf(zip_derived_cl1174,plain,
    root @ ( sk__4 @ tptp0 @ ( sk__15 @ sk__18 ) ) @ tptp0,
    inference('s_sup-',[status(thm)],[zip_derived_cl1157,zip_derived_cl23]) ).

thf(sos_16,axiom,
    ! [X41: $i,X42: $i] :
      ( ( root @ X41 @ X42 )
     => ( legal @ X41 ) ) ).

thf(zip_derived_cl26,plain,
    ! [X0: $i,X1: $i] :
      ( ( legal @ X0 )
      | ~ ( root @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[sos_16]) ).

thf(zip_derived_cl1217,plain,
    legal @ ( sk__4 @ tptp0 @ ( sk__15 @ sk__18 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl1174,zip_derived_cl26]) ).

thf(sos_08,axiom,
    ! [X18: $i] :
      ( ( legal @ X18 )
     => ( arboreal @ X18 ) ) ).

thf(zip_derived_cl11,plain,
    ! [X0: $i] :
      ( ( arboreal @ X0 )
      | ~ ( legal @ X0 ) ),
    inference(cnf,[status(esa)],[sos_08]) ).

thf(zip_derived_cl1225,plain,
    arboreal @ ( sk__4 @ tptp0 @ ( sk__15 @ sk__18 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl1217,zip_derived_cl11]) ).

thf(zip_derived_cl4642_018,plain,
    legal @ ( sk__17 @ sk__18 ),
    inference('s_sup-',[status(thm)],[zip_derived_cl4609,zip_derived_cl14]) ).

thf(zip_derived_cl11_019,plain,
    ! [X0: $i] :
      ( ( arboreal @ X0 )
      | ~ ( legal @ X0 ) ),
    inference(cnf,[status(esa)],[sos_08]) ).

thf(zip_derived_cl4643,plain,
    arboreal @ ( sk__17 @ sk__18 ),
    inference('s_sup-',[status(thm)],[zip_derived_cl4642,zip_derived_cl11]) ).

thf(zip_derived_cl8362,plain,
    ! [X0: $i] :
      ( ( min_precedes @ ( sk__15 @ sk__18 ) @ ( sk__17 @ sk__18 ) @ tptp0 )
      | ~ ( subactivity_occurrence @ ( sk__4 @ tptp0 @ ( sk__15 @ sk__18 ) ) @ X0 )
      | ~ ( occurrence_of @ X0 @ tptp0 )
      | ~ ( subactivity_occurrence @ ( sk__17 @ sk__18 ) @ X0 )
      | ( min_precedes @ ( sk__17 @ sk__18 ) @ ( sk__4 @ tptp0 @ ( sk__15 @ sk__18 ) ) @ tptp0 )
      | ( ( sk__4 @ tptp0 @ ( sk__15 @ sk__18 ) )
        = ( sk__17 @ sk__18 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl8358,zip_derived_cl1225,zip_derived_cl4643]) ).

thf(zip_derived_cl4641_020,plain,
    earlier @ ( sk__16 @ sk__18 ) @ ( sk__17 @ sk__18 ),
    inference('s_sup-',[status(thm)],[zip_derived_cl4609,zip_derived_cl13]) ).

thf(zip_derived_cl3613_021,plain,
    earlier @ ( sk__15 @ sk__18 ) @ ( sk__16 @ sk__18 ),
    inference('s_sup-',[status(thm)],[zip_derived_cl3497,zip_derived_cl13]) ).

thf(zip_derived_cl1173_022,plain,
    min_precedes @ ( sk__4 @ tptp0 @ ( sk__15 @ sk__18 ) ) @ ( sk__15 @ sk__18 ) @ tptp0,
    inference('s_sup-',[status(thm)],[zip_derived_cl1157,zip_derived_cl22]) ).

thf(zip_derived_cl25_023,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( precedes @ X0 @ X1 )
      | ~ ( min_precedes @ X0 @ X1 @ X2 ) ),
    inference(cnf,[status(esa)],[sos_15]) ).

thf(zip_derived_cl1462,plain,
    precedes @ ( sk__4 @ tptp0 @ ( sk__15 @ sk__18 ) ) @ ( sk__15 @ sk__18 ),
    inference('s_sup-',[status(thm)],[zip_derived_cl1173,zip_derived_cl25]) ).

thf(zip_derived_cl13_024,plain,
    ! [X0: $i,X1: $i] :
      ( ( earlier @ X0 @ X1 )
      | ~ ( precedes @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[sos_10]) ).

thf(zip_derived_cl1522,plain,
    earlier @ ( sk__4 @ tptp0 @ ( sk__15 @ sk__18 ) ) @ ( sk__15 @ sk__18 ),
    inference('s_sup-',[status(thm)],[zip_derived_cl1462,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_cl1554,plain,
    ~ ( earlier @ ( sk__15 @ sk__18 ) @ ( sk__4 @ tptp0 @ ( sk__15 @ sk__18 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl1522,zip_derived_cl6]) ).

thf(zip_derived_cl7_025,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( earlier @ X0 @ X1 )
      | ~ ( earlier @ X1 @ X2 )
      | ( earlier @ X0 @ X2 ) ),
    inference(cnf,[status(esa)],[sos_05]) ).

thf(zip_derived_cl1562,plain,
    ! [X0: $i] :
      ( ~ ( earlier @ ( sk__15 @ sk__18 ) @ X0 )
      | ~ ( earlier @ X0 @ ( sk__4 @ tptp0 @ ( sk__15 @ sk__18 ) ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl1554,zip_derived_cl7]) ).

thf(zip_derived_cl3729,plain,
    ~ ( earlier @ ( sk__16 @ sk__18 ) @ ( sk__4 @ tptp0 @ ( sk__15 @ sk__18 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl3613,zip_derived_cl1562]) ).

thf(zip_derived_cl7_026,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( earlier @ X0 @ X1 )
      | ~ ( earlier @ X1 @ X2 )
      | ( earlier @ X0 @ X2 ) ),
    inference(cnf,[status(esa)],[sos_05]) ).

thf(zip_derived_cl3733,plain,
    ! [X0: $i] :
      ( ~ ( earlier @ ( sk__16 @ sk__18 ) @ X0 )
      | ~ ( earlier @ X0 @ ( sk__4 @ tptp0 @ ( sk__15 @ sk__18 ) ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl3729,zip_derived_cl7]) ).

thf(zip_derived_cl4725,plain,
    ~ ( earlier @ ( sk__17 @ sk__18 ) @ ( sk__4 @ tptp0 @ ( sk__15 @ sk__18 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl4641,zip_derived_cl3733]) ).

thf(zip_derived_cl13_027,plain,
    ! [X0: $i,X1: $i] :
      ( ( earlier @ X0 @ X1 )
      | ~ ( precedes @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[sos_10]) ).

thf(zip_derived_cl4742,plain,
    ~ ( precedes @ ( sk__17 @ sk__18 ) @ ( sk__4 @ tptp0 @ ( sk__15 @ sk__18 ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl4725,zip_derived_cl13]) ).

thf(zip_derived_cl25_028,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( precedes @ X0 @ X1 )
      | ~ ( min_precedes @ X0 @ X1 @ X2 ) ),
    inference(cnf,[status(esa)],[sos_15]) ).

thf(zip_derived_cl4773,plain,
    ! [X0: $i] :
      ~ ( min_precedes @ ( sk__17 @ sk__18 ) @ ( sk__4 @ tptp0 @ ( sk__15 @ sk__18 ) ) @ X0 ),
    inference('s_sup+',[status(thm)],[zip_derived_cl4742,zip_derived_cl25]) ).

thf(zip_derived_cl190892,plain,
    ! [X0: $i] :
      ( ( ( sk__4 @ tptp0 @ ( sk__15 @ sk__18 ) )
        = ( sk__17 @ sk__18 ) )
      | ~ ( subactivity_occurrence @ ( sk__17 @ sk__18 ) @ X0 )
      | ~ ( occurrence_of @ X0 @ tptp0 )
      | ~ ( subactivity_occurrence @ ( sk__4 @ tptp0 @ ( sk__15 @ sk__18 ) ) @ X0 )
      | ( min_precedes @ ( sk__15 @ sk__18 ) @ ( sk__17 @ sk__18 ) @ tptp0 ) ),
    inference(clc,[status(thm)],[zip_derived_cl8362,zip_derived_cl4773]) ).

thf(zip_derived_cl190908,plain,
    ( ( ( sk__4 @ tptp0 @ ( sk__15 @ sk__18 ) )
      = ( sk__17 @ sk__18 ) )
    | ~ ( subactivity_occurrence @ ( sk__17 @ sk__18 ) @ ( sk__9 @ ( sk__17 @ sk__18 ) @ ( sk__4 @ tptp0 @ ( sk__17 @ sk__18 ) ) @ tptp0 ) )
    | ~ ( subactivity_occurrence @ ( sk__4 @ tptp0 @ ( sk__15 @ sk__18 ) ) @ ( sk__9 @ ( sk__17 @ sk__18 ) @ ( sk__4 @ tptp0 @ ( sk__17 @ sk__18 ) ) @ tptp0 ) )
    | ( min_precedes @ ( sk__15 @ sk__18 ) @ ( sk__17 @ sk__18 ) @ tptp0 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl5131,zip_derived_cl190892]) ).

thf(zip_derived_cl4623_029,plain,
    min_precedes @ ( sk__4 @ tptp0 @ ( sk__17 @ sk__18 ) ) @ ( sk__17 @ sk__18 ) @ tptp0,
    inference('s_sup-',[status(thm)],[zip_derived_cl4606,zip_derived_cl22]) ).

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_cl5130,plain,
    subactivity_occurrence @ ( sk__17 @ sk__18 ) @ ( sk__9 @ ( sk__17 @ sk__18 ) @ ( sk__4 @ tptp0 @ ( sk__17 @ sk__18 ) ) @ tptp0 ),
    inference('s_sup-',[status(thm)],[zip_derived_cl4623,zip_derived_cl45]) ).

thf(zip_derived_cl5131_030,plain,
    occurrence_of @ ( sk__9 @ ( sk__17 @ sk__18 ) @ ( sk__4 @ tptp0 @ ( sk__17 @ sk__18 ) ) @ tptp0 ) @ tptp0,
    inference('s_sup-',[status(thm)],[zip_derived_cl4623,zip_derived_cl47]) ).

thf(zip_derived_cl1173_031,plain,
    min_precedes @ ( sk__4 @ tptp0 @ ( sk__15 @ sk__18 ) ) @ ( sk__15 @ sk__18 ) @ tptp0,
    inference('s_sup-',[status(thm)],[zip_derived_cl1157,zip_derived_cl22]) ).

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_cl1468,plain,
    ! [X0: $i] :
      ( ~ ( occurrence_of @ X0 @ tptp0 )
      | ~ ( subactivity_occurrence @ ( sk__15 @ sk__18 ) @ X0 )
      | ( subactivity_occurrence @ ( sk__4 @ tptp0 @ ( sk__15 @ sk__18 ) ) @ X0 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl1173,zip_derived_cl53]) ).

thf(zip_derived_cl6609,plain,
    ( ~ ( subactivity_occurrence @ ( sk__15 @ sk__18 ) @ ( sk__9 @ ( sk__17 @ sk__18 ) @ ( sk__4 @ tptp0 @ ( sk__17 @ sk__18 ) ) @ tptp0 ) )
    | ( subactivity_occurrence @ ( sk__4 @ tptp0 @ ( sk__15 @ sk__18 ) ) @ ( sk__9 @ ( sk__17 @ sk__18 ) @ ( sk__4 @ tptp0 @ ( sk__17 @ sk__18 ) ) @ tptp0 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl5131,zip_derived_cl1468]) ).

thf(zip_derived_cl5131_032,plain,
    occurrence_of @ ( sk__9 @ ( sk__17 @ sk__18 ) @ ( sk__4 @ tptp0 @ ( sk__17 @ sk__18 ) ) @ tptp0 ) @ tptp0,
    inference('s_sup-',[status(thm)],[zip_derived_cl4623,zip_derived_cl47]) ).

thf(zip_derived_cl3494_033,plain,
    min_precedes @ ( sk__15 @ sk__18 ) @ ( sk__16 @ sk__18 ) @ tptp0,
    inference('s_sup-',[status(thm)],[zip_derived_cl3493,zip_derived_cl35]) ).

thf(zip_derived_cl53_034,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_cl3503,plain,
    ! [X0: $i] :
      ( ~ ( occurrence_of @ X0 @ tptp0 )
      | ~ ( subactivity_occurrence @ ( sk__16 @ sk__18 ) @ X0 )
      | ( subactivity_occurrence @ ( sk__15 @ sk__18 ) @ X0 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl3494,zip_derived_cl53]) ).

thf(zip_derived_cl6610,plain,
    ( ~ ( subactivity_occurrence @ ( sk__16 @ sk__18 ) @ ( sk__9 @ ( sk__17 @ sk__18 ) @ ( sk__4 @ tptp0 @ ( sk__17 @ sk__18 ) ) @ tptp0 ) )
    | ( subactivity_occurrence @ ( sk__15 @ sk__18 ) @ ( sk__9 @ ( sk__17 @ sk__18 ) @ ( sk__4 @ tptp0 @ ( sk__17 @ sk__18 ) ) @ tptp0 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl5131,zip_derived_cl3503]) ).

thf(zip_derived_cl4606_035,plain,
    min_precedes @ ( sk__16 @ sk__18 ) @ ( sk__17 @ sk__18 ) @ tptp0,
    inference('s_sup-',[status(thm)],[zip_derived_cl4605,zip_derived_cl35]) ).

thf(zip_derived_cl53_036,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_cl4615,plain,
    ! [X0: $i] :
      ( ~ ( occurrence_of @ X0 @ tptp0 )
      | ~ ( subactivity_occurrence @ ( sk__17 @ sk__18 ) @ X0 )
      | ( subactivity_occurrence @ ( sk__16 @ sk__18 ) @ X0 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl4606,zip_derived_cl53]) ).

thf(zip_derived_cl136310,plain,
    ( ( subactivity_occurrence @ ( sk__15 @ sk__18 ) @ ( sk__9 @ ( sk__17 @ sk__18 ) @ ( sk__4 @ tptp0 @ ( sk__17 @ sk__18 ) ) @ tptp0 ) )
    | ~ ( occurrence_of @ ( sk__9 @ ( sk__17 @ sk__18 ) @ ( sk__4 @ tptp0 @ ( sk__17 @ sk__18 ) ) @ tptp0 ) @ tptp0 )
    | ~ ( subactivity_occurrence @ ( sk__17 @ sk__18 ) @ ( sk__9 @ ( sk__17 @ sk__18 ) @ ( sk__4 @ tptp0 @ ( sk__17 @ sk__18 ) ) @ tptp0 ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl6610,zip_derived_cl4615]) ).

thf(zip_derived_cl5131_037,plain,
    occurrence_of @ ( sk__9 @ ( sk__17 @ sk__18 ) @ ( sk__4 @ tptp0 @ ( sk__17 @ sk__18 ) ) @ tptp0 ) @ tptp0,
    inference('s_sup-',[status(thm)],[zip_derived_cl4623,zip_derived_cl47]) ).

thf(zip_derived_cl5130_038,plain,
    subactivity_occurrence @ ( sk__17 @ sk__18 ) @ ( sk__9 @ ( sk__17 @ sk__18 ) @ ( sk__4 @ tptp0 @ ( sk__17 @ sk__18 ) ) @ tptp0 ),
    inference('s_sup-',[status(thm)],[zip_derived_cl4623,zip_derived_cl45]) ).

thf(zip_derived_cl136311,plain,
    subactivity_occurrence @ ( sk__15 @ sk__18 ) @ ( sk__9 @ ( sk__17 @ sk__18 ) @ ( sk__4 @ tptp0 @ ( sk__17 @ sk__18 ) ) @ tptp0 ),
    inference(demod,[status(thm)],[zip_derived_cl136310,zip_derived_cl5131,zip_derived_cl5130]) ).

thf(zip_derived_cl136317,plain,
    subactivity_occurrence @ ( sk__4 @ tptp0 @ ( sk__15 @ sk__18 ) ) @ ( sk__9 @ ( sk__17 @ sk__18 ) @ ( sk__4 @ tptp0 @ ( sk__17 @ sk__18 ) ) @ tptp0 ),
    inference(demod,[status(thm)],[zip_derived_cl6609,zip_derived_cl136311]) ).

thf(zip_derived_cl190954,plain,
    ( ( ( sk__4 @ tptp0 @ ( sk__15 @ sk__18 ) )
      = ( sk__17 @ sk__18 ) )
    | ( min_precedes @ ( sk__15 @ sk__18 ) @ ( sk__17 @ sk__18 ) @ tptp0 ) ),
    inference(demod,[status(thm)],[zip_derived_cl190908,zip_derived_cl5130,zip_derived_cl136317]) ).

thf(zip_derived_cl190954_039,plain,
    ( ( ( sk__4 @ tptp0 @ ( sk__15 @ sk__18 ) )
      = ( sk__17 @ sk__18 ) )
    | ( min_precedes @ ( sk__15 @ sk__18 ) @ ( sk__17 @ sk__18 ) @ tptp0 ) ),
    inference(demod,[status(thm)],[zip_derived_cl190908,zip_derived_cl5130,zip_derived_cl136317]) ).

thf(zip_derived_cl86_040,plain,
    subactivity_occurrence @ sk__18 @ sk__19,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl87_041,plain,
    occurrence_of @ sk__19 @ tptp0,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl70,plain,
    ! [X0: $i,X1: $i] :
      ( ( occurrence_of @ ( sk__17 @ X0 ) @ tptp2 )
      | ( occurrence_of @ ( sk__17 @ X0 ) @ tptp1 )
      | ~ ( arboreal @ X0 )
      | ~ ( occurrence_of @ X1 @ tptp0 )
      | ~ ( subactivity_occurrence @ X0 @ X1 )
      | ( leaf_occ @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[sos_35]) ).

thf(zip_derived_cl560,plain,
    ! [X0: $i] :
      ( ( occurrence_of @ ( sk__17 @ X0 ) @ tptp2 )
      | ( occurrence_of @ ( sk__17 @ X0 ) @ tptp1 )
      | ~ ( arboreal @ X0 )
      | ~ ( subactivity_occurrence @ X0 @ sk__19 )
      | ( leaf_occ @ X0 @ sk__19 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl87,zip_derived_cl70]) ).

thf(zip_derived_cl4295,plain,
    ( ( occurrence_of @ ( sk__17 @ sk__18 ) @ tptp2 )
    | ( occurrence_of @ ( sk__17 @ sk__18 ) @ tptp1 )
    | ~ ( arboreal @ sk__18 )
    | ( leaf_occ @ sk__18 @ sk__19 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl86,zip_derived_cl560]) ).

thf(zip_derived_cl88_042,plain,
    arboreal @ sk__18,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl85_043,plain,
    ~ ( leaf_occ @ sk__18 @ sk__19 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl4299,plain,
    ( ( occurrence_of @ ( sk__17 @ sk__18 ) @ tptp2 )
    | ( occurrence_of @ ( sk__17 @ sk__18 ) @ tptp1 ) ),
    inference(demod,[status(thm)],[zip_derived_cl4295,zip_derived_cl88,zip_derived_cl85]) ).

thf(zip_derived_cl86_044,plain,
    subactivity_occurrence @ sk__18 @ sk__19,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl87_045,plain,
    occurrence_of @ sk__19 @ tptp0,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

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_cl543,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_cl87,zip_derived_cl69]) ).

thf(zip_derived_cl567,plain,
    ( ( occurrence_of @ ( sk__15 @ sk__18 ) @ tptp3 )
    | ~ ( arboreal @ sk__18 )
    | ( leaf_occ @ sk__18 @ sk__19 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl86,zip_derived_cl543]) ).

thf(zip_derived_cl88_046,plain,
    arboreal @ sk__18,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl85_047,plain,
    ~ ( leaf_occ @ sk__18 @ sk__19 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl569,plain,
    occurrence_of @ ( sk__15 @ sk__18 ) @ tptp3,
    inference(demod,[status(thm)],[zip_derived_cl567,zip_derived_cl88,zip_derived_cl85]) ).

thf(zip_derived_cl89,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( next_subocc @ sk__18 @ X0 @ tptp0 )
      | ~ ( occurrence_of @ X0 @ tptp3 )
      | ~ ( occurrence_of @ X1 @ tptp1 )
      | ~ ( min_precedes @ X0 @ X1 @ tptp0 )
      | ~ ( leaf @ X1 @ tptp0 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl584,plain,
    ! [X0: $i] :
      ( ~ ( next_subocc @ sk__18 @ ( sk__15 @ sk__18 ) @ tptp0 )
      | ~ ( occurrence_of @ X0 @ tptp1 )
      | ~ ( min_precedes @ ( sk__15 @ sk__18 ) @ X0 @ tptp0 )
      | ~ ( leaf @ X0 @ tptp0 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl569,zip_derived_cl89]) ).

thf(zip_derived_cl1154_048,plain,
    next_subocc @ sk__18 @ ( sk__15 @ sk__18 ) @ tptp0,
    inference(demod,[status(thm)],[zip_derived_cl1150,zip_derived_cl88,zip_derived_cl85]) ).

thf(zip_derived_cl1155,plain,
    ! [X0: $i] :
      ( ~ ( occurrence_of @ X0 @ tptp1 )
      | ~ ( min_precedes @ ( sk__15 @ sk__18 ) @ X0 @ tptp0 )
      | ~ ( leaf @ X0 @ tptp0 ) ),
    inference(demod,[status(thm)],[zip_derived_cl584,zip_derived_cl1154]) ).

thf(zip_derived_cl4315,plain,
    ( ( occurrence_of @ ( sk__17 @ sk__18 ) @ tptp2 )
    | ~ ( min_precedes @ ( sk__15 @ sk__18 ) @ ( sk__17 @ sk__18 ) @ tptp0 )
    | ~ ( leaf @ ( sk__17 @ sk__18 ) @ tptp0 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl4299,zip_derived_cl1155]) ).

thf(zip_derived_cl86_049,plain,
    subactivity_occurrence @ sk__18 @ sk__19,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl87_050,plain,
    occurrence_of @ sk__19 @ tptp0,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl72,plain,
    ! [X0: $i,X1: $i] :
      ( ( leaf @ ( 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_cl658,plain,
    ! [X0: $i] :
      ( ( leaf @ ( sk__17 @ X0 ) @ tptp0 )
      | ~ ( arboreal @ X0 )
      | ~ ( subactivity_occurrence @ X0 @ sk__19 )
      | ( leaf_occ @ X0 @ sk__19 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl87,zip_derived_cl72]) ).

thf(zip_derived_cl830,plain,
    ( ( leaf @ ( sk__17 @ sk__18 ) @ tptp0 )
    | ~ ( arboreal @ sk__18 )
    | ( leaf_occ @ sk__18 @ sk__19 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl86,zip_derived_cl658]) ).

thf(zip_derived_cl88_051,plain,
    arboreal @ sk__18,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl85_052,plain,
    ~ ( leaf_occ @ sk__18 @ sk__19 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl833,plain,
    leaf @ ( sk__17 @ sk__18 ) @ tptp0,
    inference(demod,[status(thm)],[zip_derived_cl830,zip_derived_cl88,zip_derived_cl85]) ).

thf(zip_derived_cl4322,plain,
    ( ( occurrence_of @ ( sk__17 @ sk__18 ) @ tptp2 )
    | ~ ( min_precedes @ ( sk__15 @ sk__18 ) @ ( sk__17 @ sk__18 ) @ tptp0 ) ),
    inference(demod,[status(thm)],[zip_derived_cl4315,zip_derived_cl833]) ).

thf(zip_derived_cl190984,plain,
    ( ( ( sk__4 @ tptp0 @ ( sk__15 @ sk__18 ) )
      = ( sk__17 @ sk__18 ) )
    | ( occurrence_of @ ( sk__17 @ sk__18 ) @ tptp2 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl190954,zip_derived_cl4322]) ).

thf(zip_derived_cl1173_053,plain,
    min_precedes @ ( sk__4 @ tptp0 @ ( sk__15 @ sk__18 ) ) @ ( sk__15 @ sk__18 ) @ tptp0,
    inference('s_sup-',[status(thm)],[zip_derived_cl1157,zip_derived_cl22]) ).

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_cl1463,plain,
    ~ ( leaf @ ( sk__4 @ tptp0 @ ( sk__15 @ sk__18 ) ) @ tptp0 ),
    inference('s_sup-',[status(thm)],[zip_derived_cl1173,zip_derived_cl32]) ).

thf(zip_derived_cl192693,plain,
    ( ( occurrence_of @ ( sk__17 @ sk__18 ) @ tptp2 )
    | ~ ( leaf @ ( sk__17 @ sk__18 ) @ tptp0 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl190984,zip_derived_cl1463]) ).

thf(zip_derived_cl833_054,plain,
    leaf @ ( sk__17 @ sk__18 ) @ tptp0,
    inference(demod,[status(thm)],[zip_derived_cl830,zip_derived_cl88,zip_derived_cl85]) ).

thf(zip_derived_cl193340,plain,
    occurrence_of @ ( sk__17 @ sk__18 ) @ tptp2,
    inference(demod,[status(thm)],[zip_derived_cl192693,zip_derived_cl833]) ).

thf(zip_derived_cl569_055,plain,
    occurrence_of @ ( sk__15 @ sk__18 ) @ tptp3,
    inference(demod,[status(thm)],[zip_derived_cl567,zip_derived_cl88,zip_derived_cl85]) ).

thf(zip_derived_cl90,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( next_subocc @ sk__18 @ X0 @ tptp0 )
      | ~ ( occurrence_of @ X0 @ tptp3 )
      | ~ ( occurrence_of @ X1 @ tptp2 )
      | ~ ( min_precedes @ X0 @ X1 @ tptp0 )
      | ~ ( leaf @ X1 @ tptp0 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl585,plain,
    ! [X0: $i] :
      ( ~ ( next_subocc @ sk__18 @ ( sk__15 @ sk__18 ) @ tptp0 )
      | ~ ( occurrence_of @ X0 @ tptp2 )
      | ~ ( min_precedes @ ( sk__15 @ sk__18 ) @ X0 @ tptp0 )
      | ~ ( leaf @ X0 @ tptp0 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl569,zip_derived_cl90]) ).

thf(zip_derived_cl1154_056,plain,
    next_subocc @ sk__18 @ ( sk__15 @ sk__18 ) @ tptp0,
    inference(demod,[status(thm)],[zip_derived_cl1150,zip_derived_cl88,zip_derived_cl85]) ).

thf(zip_derived_cl1156,plain,
    ! [X0: $i] :
      ( ~ ( occurrence_of @ X0 @ tptp2 )
      | ~ ( min_precedes @ ( sk__15 @ sk__18 ) @ X0 @ tptp0 )
      | ~ ( leaf @ X0 @ tptp0 ) ),
    inference(demod,[status(thm)],[zip_derived_cl585,zip_derived_cl1154]) ).

thf(zip_derived_cl193393,plain,
    ( ~ ( min_precedes @ ( sk__15 @ sk__18 ) @ ( sk__17 @ sk__18 ) @ tptp0 )
    | ~ ( leaf @ ( sk__17 @ sk__18 ) @ tptp0 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl193340,zip_derived_cl1156]) ).

thf(zip_derived_cl833_057,plain,
    leaf @ ( sk__17 @ sk__18 ) @ tptp0,
    inference(demod,[status(thm)],[zip_derived_cl830,zip_derived_cl88,zip_derived_cl85]) ).

thf(zip_derived_cl193416,plain,
    ~ ( min_precedes @ ( sk__15 @ sk__18 ) @ ( sk__17 @ sk__18 ) @ tptp0 ),
    inference(demod,[status(thm)],[zip_derived_cl193393,zip_derived_cl833]) ).

thf(zip_derived_cl193481,plain,
    ( ( sk__4 @ tptp0 @ ( sk__15 @ sk__18 ) )
    = ( sk__17 @ sk__18 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl190954,zip_derived_cl193416]) ).

thf(zip_derived_cl4889_058,plain,
    ( ~ ( min_precedes @ ( sk__4 @ tptp0 @ ( sk__15 @ sk__18 ) ) @ ( sk__17 @ sk__18 ) @ tptp0 )
    | ( min_precedes @ ( sk__15 @ sk__18 ) @ ( sk__17 @ sk__18 ) @ tptp0 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl4797,zip_derived_cl1478]) ).

thf(zip_derived_cl193416_059,plain,
    ~ ( min_precedes @ ( sk__15 @ sk__18 ) @ ( sk__17 @ sk__18 ) @ tptp0 ),
    inference(demod,[status(thm)],[zip_derived_cl193393,zip_derived_cl833]) ).

thf(zip_derived_cl193474,plain,
    ~ ( min_precedes @ ( sk__4 @ tptp0 @ ( sk__15 @ sk__18 ) ) @ ( sk__17 @ sk__18 ) @ tptp0 ),
    inference(demod,[status(thm)],[zip_derived_cl4889,zip_derived_cl193416]) ).

thf(zip_derived_cl1173_060,plain,
    min_precedes @ ( sk__4 @ tptp0 @ ( sk__15 @ sk__18 ) ) @ ( sk__15 @ sk__18 ) @ tptp0,
    inference('s_sup-',[status(thm)],[zip_derived_cl1157,zip_derived_cl22]) ).

thf(sos_20,axiom,
    ! [X52: $i,X53: $i,X54: $i,X55: $i] :
      ( ( ( min_precedes @ X53 @ X52 @ X55 )
        & ( min_precedes @ X54 @ X52 @ X55 )
        & ( precedes @ X53 @ X54 ) )
     => ( min_precedes @ X53 @ X54 @ X55 ) ) ).

thf(zip_derived_cl30,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ~ ( precedes @ X0 @ X1 )
      | ~ ( min_precedes @ X0 @ X2 @ X3 )
      | ~ ( min_precedes @ X1 @ X2 @ X3 )
      | ( min_precedes @ X0 @ X1 @ X3 ) ),
    inference(cnf,[status(esa)],[sos_20]) ).

thf(zip_derived_cl1480,plain,
    ! [X0: $i] :
      ( ~ ( precedes @ ( sk__4 @ tptp0 @ ( sk__15 @ sk__18 ) ) @ X0 )
      | ~ ( min_precedes @ X0 @ ( sk__15 @ sk__18 ) @ tptp0 )
      | ( min_precedes @ ( sk__4 @ tptp0 @ ( sk__15 @ sk__18 ) ) @ X0 @ tptp0 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl1173,zip_derived_cl30]) ).

thf(zip_derived_cl194173,plain,
    ( ~ ( precedes @ ( sk__4 @ tptp0 @ ( sk__15 @ sk__18 ) ) @ ( sk__17 @ sk__18 ) )
    | ~ ( min_precedes @ ( sk__17 @ sk__18 ) @ ( sk__15 @ sk__18 ) @ tptp0 ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl193474,zip_derived_cl1480]) ).

thf(zip_derived_cl4724_061,plain,
    earlier @ ( sk__15 @ sk__18 ) @ ( sk__17 @ sk__18 ),
    inference('s_sup-',[status(thm)],[zip_derived_cl4641,zip_derived_cl3723]) ).

thf(zip_derived_cl1522_062,plain,
    earlier @ ( sk__4 @ tptp0 @ ( sk__15 @ sk__18 ) ) @ ( sk__15 @ sk__18 ),
    inference('s_sup-',[status(thm)],[zip_derived_cl1462,zip_derived_cl13]) ).

thf(zip_derived_cl7_063,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( earlier @ X0 @ X1 )
      | ~ ( earlier @ X1 @ X2 )
      | ( earlier @ X0 @ X2 ) ),
    inference(cnf,[status(esa)],[sos_05]) ).

thf(zip_derived_cl1555,plain,
    ! [X0: $i] :
      ( ~ ( earlier @ ( sk__15 @ sk__18 ) @ X0 )
      | ( earlier @ ( sk__4 @ tptp0 @ ( sk__15 @ sk__18 ) ) @ X0 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl1522,zip_derived_cl7]) ).

thf(zip_derived_cl4795,plain,
    earlier @ ( sk__4 @ tptp0 @ ( sk__15 @ sk__18 ) ) @ ( sk__17 @ sk__18 ),
    inference('s_sup-',[status(thm)],[zip_derived_cl4724,zip_derived_cl1555]) ).

thf(zip_derived_cl15_064,plain,
    ! [X0: $i,X1: $i] :
      ( ( precedes @ X0 @ X1 )
      | ~ ( legal @ X1 )
      | ~ ( earlier @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[sos_10]) ).

thf(zip_derived_cl5326,plain,
    ( ( precedes @ ( sk__4 @ tptp0 @ ( sk__15 @ sk__18 ) ) @ ( sk__17 @ sk__18 ) )
    | ~ ( legal @ ( sk__17 @ sk__18 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl4795,zip_derived_cl15]) ).

thf(zip_derived_cl4642_065,plain,
    legal @ ( sk__17 @ sk__18 ),
    inference('s_sup-',[status(thm)],[zip_derived_cl4609,zip_derived_cl14]) ).

thf(zip_derived_cl5328,plain,
    precedes @ ( sk__4 @ tptp0 @ ( sk__15 @ sk__18 ) ) @ ( sk__17 @ sk__18 ),
    inference(demod,[status(thm)],[zip_derived_cl5326,zip_derived_cl4642]) ).

thf(zip_derived_cl194184,plain,
    ~ ( min_precedes @ ( sk__17 @ sk__18 ) @ ( sk__15 @ sk__18 ) @ tptp0 ),
    inference(demod,[status(thm)],[zip_derived_cl194173,zip_derived_cl5328]) ).

thf(zip_derived_cl194337,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl1173,zip_derived_cl193481,zip_derived_cl194184]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem  : PRO014+1 : TPTP v8.1.2. Released v4.0.0.
% 0.06/0.13  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.ydy81Ir0Lx true
% 0.12/0.33  % Computer : n023.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit : 300
% 0.12/0.33  % WCLimit  : 300
% 0.12/0.34  % DateTime : Mon Aug 28 19:37:40 EDT 2023
% 0.12/0.34  % CPUTime  : 
% 0.12/0.34  % Running portfolio for 300 s
% 0.12/0.34  % File         : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.34  % Number of cores: 8
% 0.12/0.34  % Python version: Python 3.6.8
% 0.12/0.34  % Running in FO mode
% 0.53/0.64  % Total configuration time : 435
% 0.53/0.64  % Estimated wc time : 1092
% 0.53/0.64  % Estimated cpu time (7 cpus) : 156.0
% 0.54/0.69  % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.54/0.72  % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.54/0.72  % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.54/0.73  % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.54/0.74  % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.54/0.74  % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.54/0.74  % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 254.04/37.02  % Solved by fo/fo13.sh.
% 254.04/37.02  % done 21183 iterations in 36.225s
% 254.04/37.02  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 254.04/37.02  % SZS output start Refutation
% See solution above
% 254.04/37.02  
% 254.04/37.02  
% 254.04/37.02  % Terminating...
% 254.47/37.12  % Runner terminated.
% 254.47/37.13  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------