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Zipperpin---2.1.9999.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : PRO003+3 : TPTP v9.2.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.Jf7EuI7TbX true

% Computer : n026.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 04:49:18 PM UTC 2025

% Result   : Theorem 212.34s 30.95s
% Output   : Refutation 212.34s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   16
%            Number of leaves      :   13
% Syntax   : Number of formulae    :   90 (  44 unt;   0 typ;   0 def)
%            Number of atoms       :  180 (  25 equ;   0 cnn)
%            Maximal formula atoms :    6 (   2 avg)
%            Number of connectives :  786 (  60   ~;  56   |;  23   &; 636   @)
%                                         (   3 <=>;   8  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   14 (   7 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   23 (  21 usr;   6 con; 0-3 aty)
%            Number of variables   :  103 (   0   ^;  93   !;  10   ?; 103   :)

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

thf(sk__13_type,type,
    sk__13: $i > $i > $i ).

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

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

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

thf(root_occ_type,type,
    root_occ: $i > $i > $o ).

thf(goals,conjecture,
    ~ ? [X167: $i] : ( occurrence_of @ X167 @ tptp0 ) ).

thf(zf_stmt_0,negated_conjecture,
    ? [X167: $i] : ( occurrence_of @ X167 @ tptp0 ),
    inference('cnf.neg',[status(esa)],[goals]) ).

thf(zip_derived_cl101,plain,
    occurrence_of @ sk__19 @ tptp0,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(sos_49,axiom,
    ! [X161: $i] :
      ( ( occurrence_of @ X161 @ tptp0 )
     => ? [X162: $i,X163: $i] :
          ( ( next_subocc @ X162 @ X163 @ tptp0 )
          & ( leaf_occ @ X163 @ X161 )
          & ( occurrence_of @ X163 @ tptp3 )
          & ( root_occ @ X162 @ X161 )
          & ( occurrence_of @ X162 @ tptp4 ) ) ) ).

thf(zip_derived_cl82,plain,
    ! [X0: $i] :
      ( ( root_occ @ ( sk__16 @ X0 ) @ X0 )
      | ~ ( occurrence_of @ X0 @ tptp0 ) ),
    inference(cnf,[status(esa)],[sos_49]) ).

thf(zip_derived_cl158,plain,
    root_occ @ ( sk__16 @ sk__19 ) @ sk__19,
    inference('sup-',[status(thm)],[zip_derived_cl101,zip_derived_cl82]) ).

thf(zip_derived_cl101_001,plain,
    occurrence_of @ sk__19 @ tptp0,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(sos_62,axiom,
    ! [X164: $i,X165: $i] :
      ( ( ( occurrence_of @ X165 @ tptp0 )
        & ( root_occ @ X164 @ X165 ) )
     => ? [X166: $i] :
          ( ( next_subocc @ X164 @ X166 @ tptp0 )
          & ( occurrence_of @ X166 @ tptp1 ) ) ) ).

thf(zip_derived_cl99,plain,
    ! [X0: $i,X1: $i] :
      ( ( next_subocc @ X0 @ ( sk__18 @ X0 ) @ tptp0 )
      | ~ ( occurrence_of @ X1 @ tptp0 )
      | ~ ( root_occ @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[sos_62]) ).

thf(zip_derived_cl286,plain,
    ! [X0: $i] :
      ( ~ ( root_occ @ X0 @ sk__19 )
      | ( next_subocc @ X0 @ ( sk__18 @ X0 ) @ tptp0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl101,zip_derived_cl99]) ).

thf(zip_derived_cl287,plain,
    next_subocc @ ( sk__16 @ sk__19 ) @ ( sk__18 @ ( sk__16 @ sk__19 ) ) @ tptp0,
    inference('sup-',[status(thm)],[zip_derived_cl158,zip_derived_cl286]) ).

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_cl302,plain,
    min_precedes @ ( sk__16 @ sk__19 ) @ ( sk__18 @ ( sk__16 @ sk__19 ) ) @ tptp0,
    inference('sup-',[status(thm)],[zip_derived_cl287,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_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_cl1054,plain,
    occurrence_of @ ( sk__9 @ ( sk__18 @ ( sk__16 @ sk__19 ) ) @ ( sk__16 @ sk__19 ) @ tptp0 ) @ tptp0,
    inference('sup-',[status(thm)],[zip_derived_cl302,zip_derived_cl47]) ).

thf(zip_derived_cl84,plain,
    ! [X0: $i] :
      ( ( occurrence_of @ ( sk__17 @ X0 ) @ tptp3 )
      | ~ ( occurrence_of @ X0 @ tptp0 ) ),
    inference(cnf,[status(esa)],[sos_49]) ).

thf(zip_derived_cl5645,plain,
    occurrence_of @ ( sk__17 @ ( sk__9 @ ( sk__18 @ ( sk__16 @ sk__19 ) ) @ ( sk__16 @ sk__19 ) @ tptp0 ) ) @ tptp3,
    inference('sup-',[status(thm)],[zip_derived_cl1054,zip_derived_cl84]) ).

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(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_cl110,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( activity_occurrence @ X0 )
      | ( ( sk_ @ X0 )
        = X1 )
      | ~ ( occurrence_of @ X0 @ X1 ) ),
    inference('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_cl114,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( occurrence_of @ X0 @ X1 )
      | ( ( sk_ @ X0 )
        = X1 ) ),
    inference(clc,[status(thm)],[zip_derived_cl110,zip_derived_cl1]) ).

thf(zip_derived_cl14221,plain,
    ( ( sk_ @ ( sk__17 @ ( sk__9 @ ( sk__18 @ ( sk__16 @ sk__19 ) ) @ ( sk__16 @ sk__19 ) @ tptp0 ) ) )
    = tptp3 ),
    inference('sup-',[status(thm)],[zip_derived_cl5645,zip_derived_cl114]) ).

thf(zip_derived_cl1054_002,plain,
    occurrence_of @ ( sk__9 @ ( sk__18 @ ( sk__16 @ sk__19 ) ) @ ( sk__16 @ sk__19 ) @ tptp0 ) @ tptp0,
    inference('sup-',[status(thm)],[zip_derived_cl302,zip_derived_cl47]) ).

thf(zip_derived_cl85,plain,
    ! [X0: $i] :
      ( ( leaf_occ @ ( sk__17 @ X0 ) @ X0 )
      | ~ ( occurrence_of @ X0 @ tptp0 ) ),
    inference(cnf,[status(esa)],[sos_49]) ).

thf(zip_derived_cl5646,plain,
    leaf_occ @ ( sk__17 @ ( sk__9 @ ( sk__18 @ ( sk__16 @ sk__19 ) ) @ ( sk__16 @ sk__19 ) @ tptp0 ) ) @ ( sk__9 @ ( sk__18 @ ( sk__16 @ sk__19 ) ) @ ( sk__16 @ sk__19 ) @ tptp0 ),
    inference('sup-',[status(thm)],[zip_derived_cl1054,zip_derived_cl85]) ).

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

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

thf(zip_derived_cl85211,plain,
    subactivity_occurrence @ ( sk__17 @ ( sk__9 @ ( sk__18 @ ( sk__16 @ sk__19 ) ) @ ( sk__16 @ sk__19 ) @ tptp0 ) ) @ ( sk__9 @ ( sk__18 @ ( sk__16 @ sk__19 ) ) @ ( sk__16 @ sk__19 ) @ tptp0 ),
    inference('sup-',[status(thm)],[zip_derived_cl5646,zip_derived_cl62]) ).

thf(zip_derived_cl302_003,plain,
    min_precedes @ ( sk__16 @ sk__19 ) @ ( sk__18 @ ( sk__16 @ sk__19 ) ) @ tptp0,
    inference('sup-',[status(thm)],[zip_derived_cl287,zip_derived_cl35]) ).

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_cl824,plain,
    subactivity_occurrence @ ( sk__18 @ ( sk__16 @ sk__19 ) ) @ ( sk__9 @ ( sk__18 @ ( sk__16 @ sk__19 ) ) @ ( sk__16 @ sk__19 ) @ tptp0 ),
    inference('sup-',[status(thm)],[zip_derived_cl302,zip_derived_cl45]) ).

thf(zip_derived_cl287_004,plain,
    next_subocc @ ( sk__16 @ sk__19 ) @ ( sk__18 @ ( sk__16 @ sk__19 ) ) @ tptp0,
    inference('sup-',[status(thm)],[zip_derived_cl158,zip_derived_cl286]) ).

thf(sos_39,axiom,
    ! [X121: $i,X122: $i,X123: $i,X124: $i,X125: $i] :
      ( ( ( next_subocc @ X121 @ X122 @ X124 )
        & ( next_subocc @ X121 @ X123 @ X124 )
        & ( occurrence_of @ X125 @ X124 )
        & ( subactivity_occurrence @ X123 @ X125 )
        & ( subactivity_occurrence @ X122 @ X125 ) )
     => ( X122 = X123 ) ) ).

thf(zip_derived_cl70,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( ( X1 = X0 )
      | ~ ( next_subocc @ X2 @ X0 @ X3 )
      | ~ ( next_subocc @ X2 @ X1 @ X3 )
      | ~ ( occurrence_of @ X4 @ X3 )
      | ~ ( subactivity_occurrence @ X0 @ X4 )
      | ~ ( subactivity_occurrence @ X1 @ X4 ) ),
    inference(cnf,[status(esa)],[sos_39]) ).

thf(zip_derived_cl2227,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( subactivity_occurrence @ X1 @ X0 )
      | ~ ( subactivity_occurrence @ ( sk__18 @ ( sk__16 @ sk__19 ) ) @ X0 )
      | ~ ( occurrence_of @ X0 @ tptp0 )
      | ~ ( next_subocc @ ( sk__16 @ sk__19 ) @ X1 @ tptp0 )
      | ( X1
        = ( sk__18 @ ( sk__16 @ sk__19 ) ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl287,zip_derived_cl70]) ).

thf(zip_derived_cl34222,plain,
    ! [X0: $i] :
      ( ( X0
        = ( sk__18 @ ( sk__16 @ sk__19 ) ) )
      | ~ ( next_subocc @ ( sk__16 @ sk__19 ) @ X0 @ tptp0 )
      | ~ ( occurrence_of @ ( sk__9 @ ( sk__18 @ ( sk__16 @ sk__19 ) ) @ ( sk__16 @ sk__19 ) @ tptp0 ) @ tptp0 )
      | ~ ( subactivity_occurrence @ X0 @ ( sk__9 @ ( sk__18 @ ( sk__16 @ sk__19 ) ) @ ( sk__16 @ sk__19 ) @ tptp0 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl824,zip_derived_cl2227]) ).

thf(zip_derived_cl1054_005,plain,
    occurrence_of @ ( sk__9 @ ( sk__18 @ ( sk__16 @ sk__19 ) ) @ ( sk__16 @ sk__19 ) @ tptp0 ) @ tptp0,
    inference('sup-',[status(thm)],[zip_derived_cl302,zip_derived_cl47]) ).

thf(zip_derived_cl34227,plain,
    ! [X0: $i] :
      ( ( X0
        = ( sk__18 @ ( sk__16 @ sk__19 ) ) )
      | ~ ( next_subocc @ ( sk__16 @ sk__19 ) @ X0 @ tptp0 )
      | ~ ( subactivity_occurrence @ X0 @ ( sk__9 @ ( sk__18 @ ( sk__16 @ sk__19 ) ) @ ( sk__16 @ sk__19 ) @ tptp0 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl34222,zip_derived_cl1054]) ).

thf(zip_derived_cl173824,plain,
    ( ~ ( next_subocc @ ( sk__16 @ sk__19 ) @ ( sk__17 @ ( sk__9 @ ( sk__18 @ ( sk__16 @ sk__19 ) ) @ ( sk__16 @ sk__19 ) @ tptp0 ) ) @ tptp0 )
    | ( ( sk__17 @ ( sk__9 @ ( sk__18 @ ( sk__16 @ sk__19 ) ) @ ( sk__16 @ sk__19 ) @ tptp0 ) )
      = ( sk__18 @ ( sk__16 @ sk__19 ) ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl85211,zip_derived_cl34227]) ).

thf(zip_derived_cl1054_006,plain,
    occurrence_of @ ( sk__9 @ ( sk__18 @ ( sk__16 @ sk__19 ) ) @ ( sk__16 @ sk__19 ) @ tptp0 ) @ tptp0,
    inference('sup-',[status(thm)],[zip_derived_cl302,zip_derived_cl47]) ).

thf(zip_derived_cl86,plain,
    ! [X0: $i] :
      ( ( next_subocc @ ( sk__16 @ X0 ) @ ( sk__17 @ X0 ) @ tptp0 )
      | ~ ( occurrence_of @ X0 @ tptp0 ) ),
    inference(cnf,[status(esa)],[sos_49]) ).

thf(zip_derived_cl5647,plain,
    next_subocc @ ( sk__16 @ ( sk__9 @ ( sk__18 @ ( sk__16 @ sk__19 ) ) @ ( sk__16 @ sk__19 ) @ tptp0 ) ) @ ( sk__17 @ ( sk__9 @ ( sk__18 @ ( sk__16 @ sk__19 ) ) @ ( sk__16 @ sk__19 ) @ tptp0 ) ) @ tptp0,
    inference('sup-',[status(thm)],[zip_derived_cl1054,zip_derived_cl86]) ).

thf(zip_derived_cl1054_007,plain,
    occurrence_of @ ( sk__9 @ ( sk__18 @ ( sk__16 @ sk__19 ) ) @ ( sk__16 @ sk__19 ) @ tptp0 ) @ tptp0,
    inference('sup-',[status(thm)],[zip_derived_cl302,zip_derived_cl47]) ).

thf(zip_derived_cl82_008,plain,
    ! [X0: $i] :
      ( ( root_occ @ ( sk__16 @ X0 ) @ X0 )
      | ~ ( occurrence_of @ X0 @ tptp0 ) ),
    inference(cnf,[status(esa)],[sos_49]) ).

thf(zip_derived_cl5643,plain,
    root_occ @ ( sk__16 @ ( sk__9 @ ( sk__18 @ ( sk__16 @ sk__19 ) ) @ ( sk__16 @ sk__19 ) @ tptp0 ) ) @ ( sk__9 @ ( sk__18 @ ( sk__16 @ sk__19 ) ) @ ( sk__16 @ sk__19 ) @ tptp0 ),
    inference('sup-',[status(thm)],[zip_derived_cl1054,zip_derived_cl82]) ).

thf(zip_derived_cl1054_009,plain,
    occurrence_of @ ( sk__9 @ ( sk__18 @ ( sk__16 @ sk__19 ) ) @ ( sk__16 @ sk__19 ) @ tptp0 ) @ tptp0,
    inference('sup-',[status(thm)],[zip_derived_cl302,zip_derived_cl47]) ).

thf(zip_derived_cl302_010,plain,
    min_precedes @ ( sk__16 @ sk__19 ) @ ( sk__18 @ ( sk__16 @ sk__19 ) ) @ tptp0,
    inference('sup-',[status(thm)],[zip_derived_cl287,zip_derived_cl35]) ).

thf(zip_derived_cl46,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( subactivity_occurrence @ X0 @ ( sk__9 @ X1 @ X0 @ X2 ) )
      | ~ ( min_precedes @ X0 @ X1 @ X2 ) ),
    inference(cnf,[status(esa)],[sos_25]) ).

thf(zip_derived_cl981,plain,
    subactivity_occurrence @ ( sk__16 @ sk__19 ) @ ( sk__9 @ ( sk__18 @ ( sk__16 @ sk__19 ) ) @ ( sk__16 @ sk__19 ) @ tptp0 ),
    inference('sup-',[status(thm)],[zip_derived_cl302,zip_derived_cl46]) ).

thf(zip_derived_cl1054_011,plain,
    occurrence_of @ ( sk__9 @ ( sk__18 @ ( sk__16 @ sk__19 ) ) @ ( sk__16 @ sk__19 ) @ tptp0 ) @ tptp0,
    inference('sup-',[status(thm)],[zip_derived_cl302,zip_derived_cl47]) ).

thf(sos_33,axiom,
    ! [X99: $i,X100: $i] :
      ( ( root_occ @ X99 @ X100 )
    <=> ? [X101: $i] :
          ( ( root @ X99 @ X101 )
          & ( subactivity_occurrence @ X99 @ X100 )
          & ( occurrence_of @ X100 @ X101 ) ) ) ).

thf(zip_derived_cl61,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( root_occ @ X0 @ X1 )
      | ~ ( occurrence_of @ X1 @ X2 )
      | ~ ( root @ X0 @ X2 )
      | ~ ( subactivity_occurrence @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[sos_33]) ).

thf(zip_derived_cl5638,plain,
    ! [X0: $i] :
      ( ~ ( subactivity_occurrence @ X0 @ ( sk__9 @ ( sk__18 @ ( sk__16 @ sk__19 ) ) @ ( sk__16 @ sk__19 ) @ tptp0 ) )
      | ~ ( root @ X0 @ tptp0 )
      | ( root_occ @ X0 @ ( sk__9 @ ( sk__18 @ ( sk__16 @ sk__19 ) ) @ ( sk__16 @ sk__19 ) @ tptp0 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl1054,zip_derived_cl61]) ).

thf(zip_derived_cl84885,plain,
    ( ( root_occ @ ( sk__16 @ sk__19 ) @ ( sk__9 @ ( sk__18 @ ( sk__16 @ sk__19 ) ) @ ( sk__16 @ sk__19 ) @ tptp0 ) )
    | ~ ( root @ ( sk__16 @ sk__19 ) @ tptp0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl981,zip_derived_cl5638]) ).

thf(zip_derived_cl158_012,plain,
    root_occ @ ( sk__16 @ sk__19 ) @ sk__19,
    inference('sup-',[status(thm)],[zip_derived_cl101,zip_derived_cl82]) ).

thf(zip_derived_cl60,plain,
    ! [X0: $i,X1: $i] :
      ( ( root @ X0 @ ( sk__13 @ X1 @ X0 ) )
      | ~ ( root_occ @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[sos_33]) ).

thf(zip_derived_cl257,plain,
    root @ ( sk__16 @ sk__19 ) @ ( sk__13 @ sk__19 @ ( sk__16 @ sk__19 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl158,zip_derived_cl60]) ).

thf(zip_derived_cl158_013,plain,
    root_occ @ ( sk__16 @ sk__19 ) @ sk__19,
    inference('sup-',[status(thm)],[zip_derived_cl101,zip_derived_cl82]) ).

thf(zip_derived_cl59,plain,
    ! [X0: $i,X1: $i] :
      ( ( occurrence_of @ X0 @ ( sk__13 @ X0 @ X1 ) )
      | ~ ( root_occ @ X1 @ X0 ) ),
    inference(cnf,[status(esa)],[sos_33]) ).

thf(zip_derived_cl192,plain,
    occurrence_of @ sk__19 @ ( sk__13 @ sk__19 @ ( sk__16 @ sk__19 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl158,zip_derived_cl59]) ).

thf(zip_derived_cl101_014,plain,
    occurrence_of @ sk__19 @ tptp0,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl4_015,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_cl112,plain,
    ! [X0: $i] :
      ( ( tptp0 = X0 )
      | ~ ( occurrence_of @ sk__19 @ X0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl101,zip_derived_cl4]) ).

thf(zip_derived_cl202,plain,
    ( tptp0
    = ( sk__13 @ sk__19 @ ( sk__16 @ sk__19 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl192,zip_derived_cl112]) ).

thf(zip_derived_cl258,plain,
    root @ ( sk__16 @ sk__19 ) @ tptp0,
    inference(demod,[status(thm)],[zip_derived_cl257,zip_derived_cl202]) ).

thf(zip_derived_cl84891,plain,
    root_occ @ ( sk__16 @ sk__19 ) @ ( sk__9 @ ( sk__18 @ ( sk__16 @ sk__19 ) ) @ ( sk__16 @ sk__19 ) @ tptp0 ),
    inference(demod,[status(thm)],[zip_derived_cl84885,zip_derived_cl258]) ).

thf(sos_35,axiom,
    ! [X105: $i,X106: $i,X107: $i,X108: $i] :
      ( ( ( occurrence_of @ X107 @ X108 )
        & ( root_occ @ X105 @ X107 )
        & ( root_occ @ X106 @ X107 ) )
     => ( X105 = X106 ) ) ).

thf(zip_derived_cl66,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ( X1 = X0 )
      | ~ ( root_occ @ X0 @ X2 )
      | ~ ( root_occ @ X1 @ X2 )
      | ~ ( occurrence_of @ X2 @ X3 ) ),
    inference(cnf,[status(esa)],[sos_35]) ).

thf(zip_derived_cl84948,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( occurrence_of @ ( sk__9 @ ( sk__18 @ ( sk__16 @ sk__19 ) ) @ ( sk__16 @ sk__19 ) @ tptp0 ) @ X0 )
      | ~ ( root_occ @ X1 @ ( sk__9 @ ( sk__18 @ ( sk__16 @ sk__19 ) ) @ ( sk__16 @ sk__19 ) @ tptp0 ) )
      | ( X1
        = ( sk__16 @ sk__19 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl84891,zip_derived_cl66]) ).

thf(zip_derived_cl85002,plain,
    ! [X0: $i] :
      ( ( X0
        = ( sk__16 @ sk__19 ) )
      | ~ ( root_occ @ X0 @ ( sk__9 @ ( sk__18 @ ( sk__16 @ sk__19 ) ) @ ( sk__16 @ sk__19 ) @ tptp0 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl1054,zip_derived_cl84948]) ).

thf(zip_derived_cl85174,plain,
    ( ( sk__16 @ ( sk__9 @ ( sk__18 @ ( sk__16 @ sk__19 ) ) @ ( sk__16 @ sk__19 ) @ tptp0 ) )
    = ( sk__16 @ sk__19 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl5643,zip_derived_cl85002]) ).

thf(zip_derived_cl85289,plain,
    next_subocc @ ( sk__16 @ sk__19 ) @ ( sk__17 @ ( sk__9 @ ( sk__18 @ ( sk__16 @ sk__19 ) ) @ ( sk__16 @ sk__19 ) @ tptp0 ) ) @ tptp0,
    inference(demod,[status(thm)],[zip_derived_cl5647,zip_derived_cl85174]) ).

thf(zip_derived_cl173923,plain,
    ( ( sk__17 @ ( sk__9 @ ( sk__18 @ ( sk__16 @ sk__19 ) ) @ ( sk__16 @ sk__19 ) @ tptp0 ) )
    = ( sk__18 @ ( sk__16 @ sk__19 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl173824,zip_derived_cl85289]) ).

thf(zip_derived_cl158_016,plain,
    root_occ @ ( sk__16 @ sk__19 ) @ sk__19,
    inference('sup-',[status(thm)],[zip_derived_cl101,zip_derived_cl82]) ).

thf(zip_derived_cl101_017,plain,
    occurrence_of @ sk__19 @ tptp0,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl100,plain,
    ! [X0: $i,X1: $i] :
      ( ( occurrence_of @ ( sk__18 @ X0 ) @ tptp1 )
      | ~ ( occurrence_of @ X1 @ tptp0 )
      | ~ ( root_occ @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[sos_62]) ).

thf(zip_derived_cl206,plain,
    ! [X0: $i] :
      ( ~ ( root_occ @ X0 @ sk__19 )
      | ( occurrence_of @ ( sk__18 @ X0 ) @ tptp1 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl101,zip_derived_cl100]) ).

thf(zip_derived_cl207,plain,
    occurrence_of @ ( sk__18 @ ( sk__16 @ sk__19 ) ) @ tptp1,
    inference('sup-',[status(thm)],[zip_derived_cl158,zip_derived_cl206]) ).

thf(zip_derived_cl114_018,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( occurrence_of @ X0 @ X1 )
      | ( ( sk_ @ X0 )
        = X1 ) ),
    inference(clc,[status(thm)],[zip_derived_cl110,zip_derived_cl1]) ).

thf(zip_derived_cl222,plain,
    ( ( sk_ @ ( sk__18 @ ( sk__16 @ sk__19 ) ) )
    = tptp1 ),
    inference('sup-',[status(thm)],[zip_derived_cl207,zip_derived_cl114]) ).

thf(zip_derived_cl173983,plain,
    tptp1 = tptp3,
    inference(demod,[status(thm)],[zip_derived_cl14221,zip_derived_cl173923,zip_derived_cl222]) ).

thf(sos_59,axiom,
    tptp1 != tptp3 ).

thf(zip_derived_cl96,plain,
    tptp1 != tptp3,
    inference(cnf,[status(esa)],[sos_59]) ).

thf(zip_derived_cl173984,plain,
    $false,
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl173983,zip_derived_cl96]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13  % Problem  : PRO003+3 : TPTP v9.2.0. Released v4.0.0.
% 0.03/0.15  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.Jf7EuI7TbX true
% 0.14/0.36  % Computer : n026.cluster.edu
% 0.14/0.36  % Model    : x86_64 x86_64
% 0.14/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36  % Memory   : 8042.1875MB
% 0.14/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36  % CPULimit : 300
% 0.14/0.36  % WCLimit  : 300
% 0.14/0.36  % DateTime : Wed Oct  1 10:53:08 EDT 2025
% 0.14/0.36  % CPUTime  : 
% 0.14/0.36  % Running portfolio for 300 s
% 0.14/0.36  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.14/0.36  % Number of cores: 8
% 0.14/0.36  % Python version: Python 3.6.8
% 0.14/0.37  % Running in FO mode
% 0.56/0.67  % Total configuration time : 435
% 0.56/0.67  % Estimated wc time : 1092
% 0.56/0.67  % Estimated cpu time (7 cpus) : 156.0
% 0.61/0.75  % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.61/0.77  % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.61/0.79  % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.61/0.80  % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.61/0.80  % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.61/0.80  % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.62/0.82  % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 0.62/0.88  % /export/starexec/sandbox2/solver/bin/fo/fo1_lcnf.sh running for 50s
% 212.34/30.95  % Solved by fo/fo5.sh.
% 212.34/30.95  % done 16276 iterations in 30.116s
% 212.34/30.95  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 212.34/30.95  % SZS output start Refutation
% See solution above
% 212.34/30.95  
% 212.34/30.95  
% 212.34/30.95  % Terminating...
% 212.75/31.05  % Runner terminated.
% 212.75/31.06  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------