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Zipperpin---2.1.9999.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : PRO012+4 : 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.TlWjAoojpP true

% Computer : n028.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 04:49:22 PM UTC 2025

% Result   : Theorem 18.66s 3.32s
% Output   : Refutation 18.66s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   16
%            Number of leaves      :   10
% Syntax   : Number of formulae    :   89 (  37 unt;   0 typ;   0 def)
%            Number of atoms       :  193 (  14 equ;   0 cnn)
%            Maximal formula atoms :   11 (   2 avg)
%            Number of connectives :  805 (  70   ~;  68   |;  24   &; 631   @)
%                                         (   1 <=>;  11  =>;   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     :   22 (  20 usr;   7 con; 0-3 aty)
%            Number of variables   :  100 (   0   ^;  89   !;  11   ?; 100   :)

% Comments : 
%------------------------------------------------------------------------------
thf(sk__10_type,type,
    sk__10: $i > $i > $i ).

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

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

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

thf(sk__12_type,type,
    sk__12: $i > $i ).

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

thf(sk__2_type,type,
    sk__2: $i > $i > $i > $i ).

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

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

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

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

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

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

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

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

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

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

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

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

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

thf(goals,conjecture,
    ! [X106: $i] :
      ( ( occurrence_of @ X106 @ tptp0 )
     => ? [X107: $i,X108: $i] :
          ( ( min_precedes @ X107 @ X108 @ tptp0 )
          & ( ( occurrence_of @ X108 @ tptp1 )
            | ( occurrence_of @ X108 @ tptp2 ) )
          & ( root_occ @ X107 @ X106 )
          & ( occurrence_of @ X107 @ tptp3 ) ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ! [X106: $i] :
        ( ( occurrence_of @ X106 @ tptp0 )
       => ? [X107: $i,X108: $i] :
            ( ( min_precedes @ X107 @ X108 @ tptp0 )
            & ( ( occurrence_of @ X108 @ tptp1 )
              | ( occurrence_of @ X108 @ tptp2 ) )
            & ( root_occ @ X107 @ X106 )
            & ( occurrence_of @ X107 @ tptp3 ) ) ),
    inference('cnf.neg',[status(esa)],[goals]) ).

thf(zip_derived_cl79,plain,
    occurrence_of @ sk__15 @ tptp0,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(sos_32,axiom,
    ! [X101: $i] :
      ( ( occurrence_of @ X101 @ tptp0 )
     => ? [X102: $i,X103: $i,X104: $i] :
          ( ! [X105: $i] :
              ( ( min_precedes @ X102 @ X105 @ tptp0 )
             => ( ( X105 = X103 )
                | ( X105 = X104 ) ) )
          & ( min_precedes @ X103 @ X104 @ tptp0 )
          & ( ( occurrence_of @ X104 @ tptp1 )
            | ( occurrence_of @ X104 @ tptp2 ) )
          & ( min_precedes @ X102 @ X103 @ tptp0 )
          & ( occurrence_of @ X103 @ tptp4 )
          & ( root_occ @ X102 @ X101 )
          & ( occurrence_of @ X102 @ tptp3 ) ) ) ).

thf(zip_derived_cl65,plain,
    ! [X0: $i] :
      ( ( min_precedes @ ( sk__13 @ X0 ) @ ( sk__14 @ X0 ) @ tptp0 )
      | ~ ( occurrence_of @ X0 @ tptp0 ) ),
    inference(cnf,[status(esa)],[sos_32]) ).

thf(zip_derived_cl244,plain,
    min_precedes @ ( sk__13 @ sk__15 ) @ ( sk__14 @ sk__15 ) @ tptp0,
    inference('s_sup-',[status(thm)],[zip_derived_cl79,zip_derived_cl65]) ).

thf(sos_23,axiom,
    ! [X68: $i,X69: $i,X70: $i] :
      ( ( min_precedes @ X68 @ X69 @ X70 )
     => ? [X71: $i] :
          ( ( min_precedes @ X71 @ X69 @ X70 )
          & ( root @ X71 @ X70 ) ) ) ).

thf(zip_derived_cl46,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( min_precedes @ ( sk__10 @ X0 @ X1 ) @ X1 @ X0 )
      | ~ ( min_precedes @ X2 @ X1 @ X0 ) ),
    inference(cnf,[status(esa)],[sos_23]) ).

thf(zip_derived_cl486,plain,
    min_precedes @ ( sk__10 @ tptp0 @ ( sk__14 @ sk__15 ) ) @ ( sk__14 @ sk__15 ) @ tptp0,
    inference('s_sup-',[status(thm)],[zip_derived_cl244,zip_derived_cl46]) ).

thf(zip_derived_cl244_001,plain,
    min_precedes @ ( sk__13 @ sk__15 ) @ ( sk__14 @ sk__15 ) @ tptp0,
    inference('s_sup-',[status(thm)],[zip_derived_cl79,zip_derived_cl65]) ).

thf(zip_derived_cl47,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( root @ ( sk__10 @ X0 @ X1 ) @ X0 )
      | ~ ( min_precedes @ X2 @ X1 @ X0 ) ),
    inference(cnf,[status(esa)],[sos_23]) ).

thf(zip_derived_cl516,plain,
    root @ ( sk__10 @ tptp0 @ ( sk__14 @ sk__15 ) ) @ tptp0,
    inference('s_sup-',[status(thm)],[zip_derived_cl244,zip_derived_cl47]) ).

thf(sos_12,axiom,
    ! [X41: $i] :
      ( ( activity_occurrence @ X41 )
     => ? [X42: $i] :
          ( ( occurrence_of @ X41 @ X42 )
          & ( activity @ X42 ) ) ) ).

thf(zip_derived_cl19,plain,
    ! [X0: $i] :
      ( ( occurrence_of @ X0 @ ( sk__4 @ X0 ) )
      | ~ ( activity_occurrence @ X0 ) ),
    inference(cnf,[status(esa)],[sos_12]) ).

thf(zip_derived_cl79_002,plain,
    occurrence_of @ sk__15 @ tptp0,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl62,plain,
    ! [X0: $i] :
      ( ( root_occ @ ( sk__12 @ X0 ) @ X0 )
      | ~ ( occurrence_of @ X0 @ tptp0 ) ),
    inference(cnf,[status(esa)],[sos_32]) ).

thf(zip_derived_cl140,plain,
    root_occ @ ( sk__12 @ sk__15 ) @ sk__15,
    inference('s_sup-',[status(thm)],[zip_derived_cl79,zip_derived_cl62]) ).

thf(sos_19,axiom,
    ! [X58: $i,X59: $i] :
      ( ( root_occ @ X58 @ X59 )
    <=> ? [X60: $i] :
          ( ( root @ X58 @ X60 )
          & ( subactivity_occurrence @ X58 @ X59 )
          & ( occurrence_of @ X59 @ X60 ) ) ) ).

thf(zip_derived_cl38,plain,
    ! [X0: $i,X1: $i] :
      ( ( occurrence_of @ X0 @ ( sk__9 @ X0 @ X1 ) )
      | ~ ( root_occ @ X1 @ X0 ) ),
    inference(cnf,[status(esa)],[sos_19]) ).

thf(zip_derived_cl413,plain,
    occurrence_of @ sk__15 @ ( sk__9 @ sk__15 @ ( sk__12 @ sk__15 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl140,zip_derived_cl38]) ).

thf(zip_derived_cl79_003,plain,
    occurrence_of @ sk__15 @ tptp0,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(sos_08,axiom,
    ! [X28: $i,X29: $i,X30: $i] :
      ( ( ( occurrence_of @ X28 @ X29 )
        & ( occurrence_of @ X28 @ X30 ) )
     => ( X29 = X30 ) ) ).

thf(zip_derived_cl14,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( occurrence_of @ X0 @ X1 )
      | ~ ( occurrence_of @ X0 @ X2 )
      | ( X1 = X2 ) ),
    inference(cnf,[status(esa)],[sos_08]) ).

thf(zip_derived_cl95,plain,
    ! [X0: $i] :
      ( ~ ( occurrence_of @ sk__15 @ X0 )
      | ( tptp0 = X0 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl79,zip_derived_cl14]) ).

thf(zip_derived_cl423,plain,
    ( tptp0
    = ( sk__9 @ sk__15 @ ( sk__12 @ sk__15 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl413,zip_derived_cl95]) ).

thf(zip_derived_cl39,plain,
    ! [X0: $i,X1: $i] :
      ( ( root @ X0 @ ( sk__9 @ X1 @ X0 ) )
      | ~ ( root_occ @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[sos_19]) ).

thf(zip_derived_cl437,plain,
    ( ( root @ ( sk__12 @ sk__15 ) @ tptp0 )
    | ~ ( root_occ @ ( sk__12 @ sk__15 ) @ sk__15 ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl423,zip_derived_cl39]) ).

thf(zip_derived_cl140_004,plain,
    root_occ @ ( sk__12 @ sk__15 ) @ sk__15,
    inference('s_sup-',[status(thm)],[zip_derived_cl79,zip_derived_cl62]) ).

thf(zip_derived_cl439,plain,
    root @ ( sk__12 @ sk__15 ) @ tptp0,
    inference(demod,[status(thm)],[zip_derived_cl437,zip_derived_cl140]) ).

thf(zip_derived_cl244_005,plain,
    min_precedes @ ( sk__13 @ sk__15 ) @ ( sk__14 @ sk__15 ) @ tptp0,
    inference('s_sup-',[status(thm)],[zip_derived_cl79,zip_derived_cl65]) ).

thf(sos_06,axiom,
    ! [X21: $i,X22: $i,X23: $i] :
      ( ( min_precedes @ X22 @ X23 @ X21 )
     => ? [X24: $i] :
          ( ( subactivity_occurrence @ X23 @ X24 )
          & ( subactivity_occurrence @ X22 @ X24 )
          & ( occurrence_of @ X24 @ X21 ) ) ) ).

thf(zip_derived_cl11,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( occurrence_of @ ( sk__2 @ X0 @ X1 @ X2 ) @ X2 )
      | ~ ( min_precedes @ X1 @ X0 @ X2 ) ),
    inference(cnf,[status(esa)],[sos_06]) ).

thf(zip_derived_cl253,plain,
    occurrence_of @ ( sk__2 @ ( sk__14 @ sk__15 ) @ ( sk__13 @ sk__15 ) @ tptp0 ) @ tptp0,
    inference('s_sup-',[status(thm)],[zip_derived_cl244,zip_derived_cl11]) ).

thf(zip_derived_cl40,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_19]) ).

thf(zip_derived_cl467,plain,
    ! [X0: $i] :
      ( ( root_occ @ X0 @ ( sk__2 @ ( sk__14 @ sk__15 ) @ ( sk__13 @ sk__15 ) @ tptp0 ) )
      | ~ ( root @ X0 @ tptp0 )
      | ~ ( subactivity_occurrence @ X0 @ ( sk__2 @ ( sk__14 @ sk__15 ) @ ( sk__13 @ sk__15 ) @ tptp0 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl253,zip_derived_cl40]) ).

thf(zip_derived_cl2903,plain,
    ( ( root_occ @ ( sk__12 @ sk__15 ) @ ( sk__2 @ ( sk__14 @ sk__15 ) @ ( sk__13 @ sk__15 ) @ tptp0 ) )
    | ~ ( subactivity_occurrence @ ( sk__12 @ sk__15 ) @ ( sk__2 @ ( sk__14 @ sk__15 ) @ ( sk__13 @ sk__15 ) @ tptp0 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl439,zip_derived_cl467]) ).

thf(zip_derived_cl253_006,plain,
    occurrence_of @ ( sk__2 @ ( sk__14 @ sk__15 ) @ ( sk__13 @ sk__15 ) @ tptp0 ) @ tptp0,
    inference('s_sup-',[status(thm)],[zip_derived_cl244,zip_derived_cl11]) ).

thf(zip_derived_cl79_007,plain,
    occurrence_of @ sk__15 @ tptp0,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl60,plain,
    ! [X0: $i] :
      ( ( min_precedes @ ( sk__12 @ X0 ) @ ( sk__13 @ X0 ) @ tptp0 )
      | ~ ( occurrence_of @ X0 @ tptp0 ) ),
    inference(cnf,[status(esa)],[sos_32]) ).

thf(zip_derived_cl181,plain,
    min_precedes @ ( sk__12 @ sk__15 ) @ ( sk__13 @ sk__15 ) @ tptp0,
    inference('s_sup-',[status(thm)],[zip_derived_cl79,zip_derived_cl60]) ).

thf(sos_27,axiom,
    ! [X82: $i,X83: $i,X84: $i,X85: $i] :
      ( ( ( min_precedes @ X82 @ X83 @ X84 )
        & ( occurrence_of @ X85 @ X84 )
        & ( subactivity_occurrence @ X83 @ X85 ) )
     => ( subactivity_occurrence @ X82 @ X85 ) ) ).

thf(zip_derived_cl55,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_27]) ).

thf(zip_derived_cl595,plain,
    ! [X0: $i] :
      ( ~ ( occurrence_of @ X0 @ tptp0 )
      | ~ ( subactivity_occurrence @ ( sk__13 @ sk__15 ) @ X0 )
      | ( subactivity_occurrence @ ( sk__12 @ sk__15 ) @ X0 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl181,zip_derived_cl55]) ).

thf(zip_derived_cl1712,plain,
    ( ~ ( subactivity_occurrence @ ( sk__13 @ sk__15 ) @ ( sk__2 @ ( sk__14 @ sk__15 ) @ ( sk__13 @ sk__15 ) @ tptp0 ) )
    | ( subactivity_occurrence @ ( sk__12 @ sk__15 ) @ ( sk__2 @ ( sk__14 @ sk__15 ) @ ( sk__13 @ sk__15 ) @ tptp0 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl253,zip_derived_cl595]) ).

thf(zip_derived_cl244_008,plain,
    min_precedes @ ( sk__13 @ sk__15 ) @ ( sk__14 @ sk__15 ) @ tptp0,
    inference('s_sup-',[status(thm)],[zip_derived_cl79,zip_derived_cl65]) ).

thf(zip_derived_cl10,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( subactivity_occurrence @ X0 @ ( sk__2 @ X1 @ X0 @ X2 ) )
      | ~ ( min_precedes @ X0 @ X1 @ X2 ) ),
    inference(cnf,[status(esa)],[sos_06]) ).

thf(zip_derived_cl246,plain,
    subactivity_occurrence @ ( sk__13 @ sk__15 ) @ ( sk__2 @ ( sk__14 @ sk__15 ) @ ( sk__13 @ sk__15 ) @ tptp0 ),
    inference('s_sup-',[status(thm)],[zip_derived_cl244,zip_derived_cl10]) ).

thf(zip_derived_cl1715,plain,
    subactivity_occurrence @ ( sk__12 @ sk__15 ) @ ( sk__2 @ ( sk__14 @ sk__15 ) @ ( sk__13 @ sk__15 ) @ tptp0 ),
    inference(demod,[status(thm)],[zip_derived_cl1712,zip_derived_cl246]) ).

thf(zip_derived_cl2912,plain,
    root_occ @ ( sk__12 @ sk__15 ) @ ( sk__2 @ ( sk__14 @ sk__15 ) @ ( sk__13 @ sk__15 ) @ tptp0 ),
    inference(demod,[status(thm)],[zip_derived_cl2903,zip_derived_cl1715]) ).

thf(sos_29,axiom,
    ! [X90: $i,X91: $i,X92: $i,X93: $i] :
      ( ( ( occurrence_of @ X92 @ X93 )
        & ( root_occ @ X90 @ X92 )
        & ( root_occ @ X91 @ X92 ) )
     => ( X90 = X91 ) ) ).

thf(zip_derived_cl57,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_29]) ).

thf(zip_derived_cl2916,plain,
    ! [X0: $i,X1: $i] :
      ( ( X0
        = ( sk__12 @ sk__15 ) )
      | ~ ( root_occ @ X0 @ ( sk__2 @ ( sk__14 @ sk__15 ) @ ( sk__13 @ sk__15 ) @ tptp0 ) )
      | ~ ( occurrence_of @ ( sk__2 @ ( sk__14 @ sk__15 ) @ ( sk__13 @ sk__15 ) @ tptp0 ) @ X1 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl2912,zip_derived_cl57]) ).

thf(zip_derived_cl9779,plain,
    ! [X0: $i] :
      ( ~ ( activity_occurrence @ ( sk__2 @ ( sk__14 @ sk__15 ) @ ( sk__13 @ sk__15 ) @ tptp0 ) )
      | ( X0
        = ( sk__12 @ sk__15 ) )
      | ~ ( root_occ @ X0 @ ( sk__2 @ ( sk__14 @ sk__15 ) @ ( sk__13 @ sk__15 ) @ tptp0 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl19,zip_derived_cl2916]) ).

thf(zip_derived_cl253_009,plain,
    occurrence_of @ ( sk__2 @ ( sk__14 @ sk__15 ) @ ( sk__13 @ sk__15 ) @ tptp0 ) @ tptp0,
    inference('s_sup-',[status(thm)],[zip_derived_cl244,zip_derived_cl11]) ).

thf(sos_03,axiom,
    ! [X12: $i,X13: $i] :
      ( ( occurrence_of @ X13 @ X12 )
     => ( ( activity @ X12 )
        & ( activity_occurrence @ X13 ) ) ) ).

thf(zip_derived_cl5,plain,
    ! [X0: $i,X1: $i] :
      ( ( activity_occurrence @ X0 )
      | ~ ( occurrence_of @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[sos_03]) ).

thf(zip_derived_cl274,plain,
    activity_occurrence @ ( sk__2 @ ( sk__14 @ sk__15 ) @ ( sk__13 @ sk__15 ) @ tptp0 ),
    inference('s_sup-',[status(thm)],[zip_derived_cl253,zip_derived_cl5]) ).

thf(zip_derived_cl9780,plain,
    ! [X0: $i] :
      ( ( X0
        = ( sk__12 @ sk__15 ) )
      | ~ ( root_occ @ X0 @ ( sk__2 @ ( sk__14 @ sk__15 ) @ ( sk__13 @ sk__15 ) @ tptp0 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl9779,zip_derived_cl274]) ).

thf(zip_derived_cl467_010,plain,
    ! [X0: $i] :
      ( ( root_occ @ X0 @ ( sk__2 @ ( sk__14 @ sk__15 ) @ ( sk__13 @ sk__15 ) @ tptp0 ) )
      | ~ ( root @ X0 @ tptp0 )
      | ~ ( subactivity_occurrence @ X0 @ ( sk__2 @ ( sk__14 @ sk__15 ) @ ( sk__13 @ sk__15 ) @ tptp0 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl253,zip_derived_cl40]) ).

thf(zip_derived_cl9786,plain,
    ! [X0: $i] :
      ( ( X0
        = ( sk__12 @ sk__15 ) )
      | ~ ( root @ X0 @ tptp0 )
      | ~ ( subactivity_occurrence @ X0 @ ( sk__2 @ ( sk__14 @ sk__15 ) @ ( sk__13 @ sk__15 ) @ tptp0 ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl9780,zip_derived_cl467]) ).

thf(zip_derived_cl9870,plain,
    ( ( ( sk__10 @ tptp0 @ ( sk__14 @ sk__15 ) )
      = ( sk__12 @ sk__15 ) )
    | ~ ( subactivity_occurrence @ ( sk__10 @ tptp0 @ ( sk__14 @ sk__15 ) ) @ ( sk__2 @ ( sk__14 @ sk__15 ) @ ( sk__13 @ sk__15 ) @ tptp0 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl516,zip_derived_cl9786]) ).

thf(zip_derived_cl253_011,plain,
    occurrence_of @ ( sk__2 @ ( sk__14 @ sk__15 ) @ ( sk__13 @ sk__15 ) @ tptp0 ) @ tptp0,
    inference('s_sup-',[status(thm)],[zip_derived_cl244,zip_derived_cl11]) ).

thf(zip_derived_cl486_012,plain,
    min_precedes @ ( sk__10 @ tptp0 @ ( sk__14 @ sk__15 ) ) @ ( sk__14 @ sk__15 ) @ tptp0,
    inference('s_sup-',[status(thm)],[zip_derived_cl244,zip_derived_cl46]) ).

thf(zip_derived_cl55_013,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_27]) ).

thf(zip_derived_cl640,plain,
    ! [X0: $i] :
      ( ~ ( occurrence_of @ X0 @ tptp0 )
      | ~ ( subactivity_occurrence @ ( sk__14 @ sk__15 ) @ X0 )
      | ( subactivity_occurrence @ ( sk__10 @ tptp0 @ ( sk__14 @ sk__15 ) ) @ X0 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl486,zip_derived_cl55]) ).

thf(zip_derived_cl3648,plain,
    ( ~ ( subactivity_occurrence @ ( sk__14 @ sk__15 ) @ ( sk__2 @ ( sk__14 @ sk__15 ) @ ( sk__13 @ sk__15 ) @ tptp0 ) )
    | ( subactivity_occurrence @ ( sk__10 @ tptp0 @ ( sk__14 @ sk__15 ) ) @ ( sk__2 @ ( sk__14 @ sk__15 ) @ ( sk__13 @ sk__15 ) @ tptp0 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl253,zip_derived_cl640]) ).

thf(zip_derived_cl244_014,plain,
    min_precedes @ ( sk__13 @ sk__15 ) @ ( sk__14 @ sk__15 ) @ tptp0,
    inference('s_sup-',[status(thm)],[zip_derived_cl79,zip_derived_cl65]) ).

thf(zip_derived_cl9,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( subactivity_occurrence @ X0 @ ( sk__2 @ X0 @ X1 @ X2 ) )
      | ~ ( min_precedes @ X1 @ X0 @ X2 ) ),
    inference(cnf,[status(esa)],[sos_06]) ).

thf(zip_derived_cl252,plain,
    subactivity_occurrence @ ( sk__14 @ sk__15 ) @ ( sk__2 @ ( sk__14 @ sk__15 ) @ ( sk__13 @ sk__15 ) @ tptp0 ),
    inference('s_sup-',[status(thm)],[zip_derived_cl244,zip_derived_cl9]) ).

thf(zip_derived_cl3652,plain,
    subactivity_occurrence @ ( sk__10 @ tptp0 @ ( sk__14 @ sk__15 ) ) @ ( sk__2 @ ( sk__14 @ sk__15 ) @ ( sk__13 @ sk__15 ) @ tptp0 ),
    inference(demod,[status(thm)],[zip_derived_cl3648,zip_derived_cl252]) ).

thf(zip_derived_cl9878,plain,
    ( ( sk__10 @ tptp0 @ ( sk__14 @ sk__15 ) )
    = ( sk__12 @ sk__15 ) ),
    inference(demod,[status(thm)],[zip_derived_cl9870,zip_derived_cl3652]) ).

thf(zip_derived_cl79_015,plain,
    occurrence_of @ sk__15 @ tptp0,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl64,plain,
    ! [X0: $i] :
      ( ( occurrence_of @ ( sk__14 @ X0 ) @ tptp2 )
      | ( occurrence_of @ ( sk__14 @ X0 ) @ tptp1 )
      | ~ ( occurrence_of @ X0 @ tptp0 ) ),
    inference(cnf,[status(esa)],[sos_32]) ).

thf(zip_derived_cl652,plain,
    ( ( occurrence_of @ ( sk__14 @ sk__15 ) @ tptp2 )
    | ( occurrence_of @ ( sk__14 @ sk__15 ) @ tptp1 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl79,zip_derived_cl64]) ).

thf(zip_derived_cl140_016,plain,
    root_occ @ ( sk__12 @ sk__15 ) @ sk__15,
    inference('s_sup-',[status(thm)],[zip_derived_cl79,zip_derived_cl62]) ).

thf(zip_derived_cl80,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( root_occ @ X0 @ sk__15 )
      | ~ ( occurrence_of @ X0 @ tptp3 )
      | ~ ( occurrence_of @ X1 @ tptp1 )
      | ~ ( min_precedes @ X0 @ X1 @ tptp0 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl141,plain,
    ! [X0: $i] :
      ( ~ ( occurrence_of @ ( sk__12 @ sk__15 ) @ tptp3 )
      | ~ ( occurrence_of @ X0 @ tptp1 )
      | ~ ( min_precedes @ ( sk__12 @ sk__15 ) @ X0 @ tptp0 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl140,zip_derived_cl80]) ).

thf(zip_derived_cl79_017,plain,
    occurrence_of @ sk__15 @ tptp0,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl63,plain,
    ! [X0: $i] :
      ( ( occurrence_of @ ( sk__12 @ X0 ) @ tptp3 )
      | ~ ( occurrence_of @ X0 @ tptp0 ) ),
    inference(cnf,[status(esa)],[sos_32]) ).

thf(zip_derived_cl87,plain,
    occurrence_of @ ( sk__12 @ sk__15 ) @ tptp3,
    inference('s_sup-',[status(thm)],[zip_derived_cl79,zip_derived_cl63]) ).

thf(zip_derived_cl143,plain,
    ! [X0: $i] :
      ( ~ ( occurrence_of @ X0 @ tptp1 )
      | ~ ( min_precedes @ ( sk__12 @ sk__15 ) @ X0 @ tptp0 ) ),
    inference(demod,[status(thm)],[zip_derived_cl141,zip_derived_cl87]) ).

thf(zip_derived_cl669,plain,
    ( ( occurrence_of @ ( sk__14 @ sk__15 ) @ tptp2 )
    | ~ ( min_precedes @ ( sk__12 @ sk__15 ) @ ( sk__14 @ sk__15 ) @ tptp0 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl652,zip_derived_cl143]) ).

thf(zip_derived_cl140_018,plain,
    root_occ @ ( sk__12 @ sk__15 ) @ sk__15,
    inference('s_sup-',[status(thm)],[zip_derived_cl79,zip_derived_cl62]) ).

thf(zip_derived_cl81,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( root_occ @ X0 @ sk__15 )
      | ~ ( occurrence_of @ X0 @ tptp3 )
      | ~ ( occurrence_of @ X1 @ tptp2 )
      | ~ ( min_precedes @ X0 @ X1 @ tptp0 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl142,plain,
    ! [X0: $i] :
      ( ~ ( occurrence_of @ ( sk__12 @ sk__15 ) @ tptp3 )
      | ~ ( occurrence_of @ X0 @ tptp2 )
      | ~ ( min_precedes @ ( sk__12 @ sk__15 ) @ X0 @ tptp0 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl140,zip_derived_cl81]) ).

thf(zip_derived_cl87_019,plain,
    occurrence_of @ ( sk__12 @ sk__15 ) @ tptp3,
    inference('s_sup-',[status(thm)],[zip_derived_cl79,zip_derived_cl63]) ).

thf(zip_derived_cl144,plain,
    ! [X0: $i] :
      ( ~ ( occurrence_of @ X0 @ tptp2 )
      | ~ ( min_precedes @ ( sk__12 @ sk__15 ) @ X0 @ tptp0 ) ),
    inference(demod,[status(thm)],[zip_derived_cl142,zip_derived_cl87]) ).

thf(zip_derived_cl836,plain,
    ~ ( min_precedes @ ( sk__12 @ sk__15 ) @ ( sk__14 @ sk__15 ) @ tptp0 ),
    inference(clc,[status(thm)],[zip_derived_cl669,zip_derived_cl144]) ).

thf(zip_derived_cl9880,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl486,zip_derived_cl9878,zip_derived_cl836]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.14  % Problem  : PRO012+4 : TPTP v9.2.0. Released v4.0.0.
% 0.07/0.15  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.TlWjAoojpP true
% 0.15/0.37  % Computer : n028.cluster.edu
% 0.15/0.37  % Model    : x86_64 x86_64
% 0.15/0.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.37  % Memory   : 8042.1875MB
% 0.15/0.37  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.37  % CPULimit : 300
% 0.15/0.37  % WCLimit  : 300
% 0.15/0.37  % DateTime : Wed Oct  1 10:50:38 EDT 2025
% 0.15/0.37  % CPUTime  : 
% 0.15/0.37  % Running portfolio for 300 s
% 0.15/0.37  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.15/0.38  % Number of cores: 8
% 0.15/0.38  % Python version: Python 3.6.8
% 0.15/0.39  % Running in FO mode
% 0.57/0.71  % Total configuration time : 435
% 0.57/0.71  % Estimated wc time : 1092
% 0.57/0.71  % Estimated cpu time (7 cpus) : 156.0
% 0.64/0.79  % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.64/0.81  % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.64/0.84  % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.64/0.84  % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.64/0.84  % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.64/0.84  % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.64/0.84  % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 18.66/3.32  % Solved by fo/fo13.sh.
% 18.66/3.32  % done 2511 iterations in 2.449s
% 18.66/3.32  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 18.66/3.32  % SZS output start Refutation
% See solution above
% 18.66/3.32  
% 18.66/3.32  
% 18.66/3.32  % Terminating...
% 19.36/3.42  % Runner terminated.
% 19.36/3.43  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------