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Zipperpin---2.1.9999.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : ITP006^2 : TPTP v9.2.0. Bugfixed v7.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.mu0uuqZeGD true

% Computer : n020.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 04:38:12 PM UTC 2025

% Result   : Theorem 17.74s 2.85s
% Output   : Refutation 17.74s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   11
%            Number of leaves      :    3
% Syntax   : Number of formulae    :   40 (  16 unt;   0 typ;   0 def)
%            Number of atoms       :  147 (   2 equ;   0 cnn)
%            Maximal formula atoms :   36 (   3 avg)
%            Number of connectives :  829 (  61   ~;  56   |;   9   &; 661   @)
%                                         (   6 <=>;  36  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   24 (  10 avg)
%            Number of types       :    3 (   1 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   19 (  17 usr;   7 con; 0-3 aty)
%            Number of variables   :   98 (   0   ^;  94   !;   4   ?;  98   :)

% Comments : 
%------------------------------------------------------------------------------
thf(del_type,type,
    del: $tType ).

thf(c_2EquantHeuristics_2EGUESS__FORALL__GAP_type,type,
    c_2EquantHeuristics_2EGUESS__FORALL__GAP: del > del > $i ).

thf(mem_type,type,
    mem: $i > del > $o ).

thf(c_2EquantHeuristics_2EGUESS__EXISTS__GAP_type,type,
    c_2EquantHeuristics_2EGUESS__EXISTS__GAP: del > del > $i ).

thf(c_2EquantHeuristics_2EGUESS__FORALL_type,type,
    c_2EquantHeuristics_2EGUESS__FORALL: del > del > $i ).

thf(p_type,type,
    p: $i > $o ).

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

thf(ap_type,type,
    ap: $i > $i > $i ).

thf(arr_type,type,
    arr: del > del > del ).

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

thf(c_2EquantHeuristics_2EGUESS__EXISTS_type,type,
    c_2EquantHeuristics_2EGUESS__EXISTS: del > del > $i ).

thf(bool_type,type,
    bool: del ).

thf(c_2EquantHeuristics_2EGUESS__EXISTS__POINT_type,type,
    c_2EquantHeuristics_2EGUESS__EXISTS__POINT: del > del > $i ).

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

thf(c_2EquantHeuristics_2EGUESS__FORALL__POINT_type,type,
    c_2EquantHeuristics_2EGUESS__FORALL__POINT: del > del > $i ).

thf(sk__12_type,type,
    sk__12: del ).

thf(sk__11_type,type,
    sk__11: del ).

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

thf(conj_thm_2EquantHeuristics_2EGUESS__RULES__WEAKEN__FORALL__POINT,conjecture,
    ! [A_27a: del,A_27b: del,V0i: $i] :
      ( ( mem @ V0i @ ( arr @ A_27b @ A_27a ) )
     => ! [V1P: $i] :
          ( ( mem @ V1P @ ( arr @ A_27a @ bool ) )
         => ! [V2Q: $i] :
              ( ( mem @ V2Q @ ( arr @ A_27a @ bool ) )
             => ( ! [V3x: $i] :
                    ( ( mem @ V3x @ A_27a )
                   => ( ( p @ ( ap @ V2Q @ V3x ) )
                     => ( p @ ( ap @ V1P @ V3x ) ) ) )
               => ( ( p @ ( ap @ ( ap @ ( c_2EquantHeuristics_2EGUESS__FORALL__POINT @ A_27b @ A_27a ) @ V0i ) @ V1P ) )
                 => ( p @ ( ap @ ( ap @ ( c_2EquantHeuristics_2EGUESS__FORALL__POINT @ A_27b @ A_27a ) @ V0i ) @ V2Q ) ) ) ) ) ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ! [A_27a: del,A_27b: del,V0i: $i] :
        ( ( mem @ V0i @ ( arr @ A_27b @ A_27a ) )
       => ! [V1P: $i] :
            ( ( mem @ V1P @ ( arr @ A_27a @ bool ) )
           => ! [V2Q: $i] :
                ( ( mem @ V2Q @ ( arr @ A_27a @ bool ) )
               => ( ! [V3x: $i] :
                      ( ( mem @ V3x @ A_27a )
                     => ( ( p @ ( ap @ V2Q @ V3x ) )
                       => ( p @ ( ap @ V1P @ V3x ) ) ) )
                 => ( ( p @ ( ap @ ( ap @ ( c_2EquantHeuristics_2EGUESS__FORALL__POINT @ A_27b @ A_27a ) @ V0i ) @ V1P ) )
                   => ( p @ ( ap @ ( ap @ ( c_2EquantHeuristics_2EGUESS__FORALL__POINT @ A_27b @ A_27a ) @ V0i ) @ V2Q ) ) ) ) ) ) ),
    inference('cnf.neg',[status(esa)],[conj_thm_2EquantHeuristics_2EGUESS__RULES__WEAKEN__FORALL__POINT]) ).

thf(zip_derived_cl152,plain,
    mem @ sk__13 @ ( arr @ sk__12 @ sk__11 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(ap_tp,axiom,
    ! [A: del,B: del,F: $i] :
      ( ( mem @ F @ ( arr @ A @ B ) )
     => ! [X: $i] :
          ( ( mem @ X @ A )
         => ( mem @ ( ap @ F @ X ) @ B ) ) ) ).

thf(zip_derived_cl0,plain,
    ! [X0: $i,X1: del,X2: $i,X3: del] :
      ( ~ ( mem @ X0 @ X1 )
      | ( mem @ ( ap @ X2 @ X0 ) @ X3 )
      | ~ ( mem @ X2 @ ( arr @ X1 @ X3 ) ) ),
    inference(cnf,[status(esa)],[ap_tp]) ).

thf(zip_derived_cl199,plain,
    ! [X0: $i] :
      ( ( mem @ ( ap @ sk__13 @ X0 ) @ sk__11 )
      | ~ ( mem @ X0 @ sk__12 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl152,zip_derived_cl0]) ).

thf(zip_derived_cl152_001,plain,
    mem @ sk__13 @ ( arr @ sk__12 @ sk__11 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl153,plain,
    mem @ sk__15 @ ( arr @ sk__11 @ bool ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(conj_thm_2EquantHeuristics_2EGUESS__REWRITES,axiom,
    ! [A_27a: del,A_27b: del,V0i: $i] :
      ( ( mem @ V0i @ ( arr @ A_27a @ A_27b ) )
     => ! [V1P: $i] :
          ( ( mem @ V1P @ ( arr @ A_27b @ bool ) )
         => ( ( ( p @ ( ap @ ( ap @ ( c_2EquantHeuristics_2EGUESS__EXISTS @ A_27a @ A_27b ) @ V0i ) @ V1P ) )
            <=> ! [V2v: $i] :
                  ( ( mem @ V2v @ A_27b )
                 => ( ( p @ ( ap @ V1P @ V2v ) )
                   => ? [V3fv: $i] :
                        ( ( p @ ( ap @ V1P @ ( ap @ V0i @ V3fv ) ) )
                        & ( mem @ V3fv @ A_27a ) ) ) ) )
            & ( ( p @ ( ap @ ( ap @ ( c_2EquantHeuristics_2EGUESS__FORALL @ A_27a @ A_27b ) @ V0i ) @ V1P ) )
            <=> ! [V4v: $i] :
                  ( ( mem @ V4v @ A_27b )
                 => ( ~ ( p @ ( ap @ V1P @ V4v ) )
                   => ? [V5fv: $i] :
                        ( ~ ( p @ ( ap @ V1P @ ( ap @ V0i @ V5fv ) ) )
                        & ( mem @ V5fv @ A_27a ) ) ) ) )
            & ! [V6i: $i] :
                ( ( mem @ V6i @ ( arr @ A_27a @ A_27b ) )
               => ! [V7P: $i] :
                    ( ( mem @ V7P @ ( arr @ A_27b @ bool ) )
                   => ( ( p @ ( ap @ ( ap @ ( c_2EquantHeuristics_2EGUESS__EXISTS__POINT @ A_27a @ A_27b ) @ V6i ) @ V7P ) )
                    <=> ! [V8fv: $i] :
                          ( ( mem @ V8fv @ A_27a )
                         => ( p @ ( ap @ V7P @ ( ap @ V6i @ V8fv ) ) ) ) ) ) )
            & ! [V9i: $i] :
                ( ( mem @ V9i @ ( arr @ A_27a @ A_27b ) )
               => ! [V10P: $i] :
                    ( ( mem @ V10P @ ( arr @ A_27b @ bool ) )
                   => ( ( p @ ( ap @ ( ap @ ( c_2EquantHeuristics_2EGUESS__FORALL__POINT @ A_27a @ A_27b ) @ V9i ) @ V10P ) )
                    <=> ! [V11fv: $i] :
                          ( ( mem @ V11fv @ A_27a )
                         => ~ ( p @ ( ap @ V10P @ ( ap @ V9i @ V11fv ) ) ) ) ) ) )
            & ! [V12i: $i] :
                ( ( mem @ V12i @ ( arr @ A_27a @ A_27b ) )
               => ! [V13P: $i] :
                    ( ( mem @ V13P @ ( arr @ A_27b @ bool ) )
                   => ( ( p @ ( ap @ ( ap @ ( c_2EquantHeuristics_2EGUESS__EXISTS__GAP @ A_27a @ A_27b ) @ V12i ) @ V13P ) )
                    <=> ! [V14v: $i] :
                          ( ( mem @ V14v @ A_27b )
                         => ( ( p @ ( ap @ V13P @ V14v ) )
                           => ? [V15fv: $i] :
                                ( ( V14v
                                  = ( ap @ V12i @ V15fv ) )
                                & ( mem @ V15fv @ A_27a ) ) ) ) ) ) )
            & ! [V16i: $i] :
                ( ( mem @ V16i @ ( arr @ A_27a @ A_27b ) )
               => ! [V17P: $i] :
                    ( ( mem @ V17P @ ( arr @ A_27b @ bool ) )
                   => ( ( p @ ( ap @ ( ap @ ( c_2EquantHeuristics_2EGUESS__FORALL__GAP @ A_27a @ A_27b ) @ V16i ) @ V17P ) )
                    <=> ! [V18v: $i] :
                          ( ( mem @ V18v @ A_27b )
                         => ( ~ ( p @ ( ap @ V17P @ V18v ) )
                           => ? [V19fv: $i] :
                                ( ( V18v
                                  = ( ap @ V16i @ V19fv ) )
                                & ( mem @ V19fv @ A_27a ) ) ) ) ) ) ) ) ) ) ).

thf(zip_derived_cl34,plain,
    ! [X0: $i,X1: del,X2: $i,X3: del,X4: $i,X5: $i] :
      ( ~ ( mem @ X0 @ ( arr @ X1 @ bool ) )
      | ~ ( mem @ X2 @ ( arr @ X3 @ X1 ) )
      | ( p @ ( ap @ ( ap @ ( c_2EquantHeuristics_2EGUESS__FORALL__POINT @ X3 @ X1 ) @ X2 ) @ X4 ) )
      | ( p @ ( ap @ X4 @ ( ap @ X2 @ ( sk__6 @ X4 @ X2 @ X3 ) ) ) )
      | ~ ( mem @ X4 @ ( arr @ X1 @ bool ) )
      | ~ ( mem @ X5 @ ( arr @ X3 @ X1 ) ) ),
    inference(cnf,[status(esa)],[conj_thm_2EquantHeuristics_2EGUESS__REWRITES]) ).

thf(zip_derived_cl1103,plain,
    ! [X0: del,X1: del,X2: $i,X3: $i,X4: $i] :
      ( ~ ( mem @ X2 @ ( arr @ X1 @ X0 ) )
      | ~ ( mem @ X3 @ ( arr @ X1 @ X0 ) )
      | ( p @ ( ap @ ( ap @ ( c_2EquantHeuristics_2EGUESS__FORALL__POINT @ X1 @ X0 ) @ X3 ) @ X4 ) )
      | ( p @ ( ap @ X4 @ ( ap @ X3 @ ( sk__6 @ X4 @ X3 @ X1 ) ) ) )
      | ~ ( mem @ X4 @ ( arr @ X0 @ bool ) ) ),
    inference(condensation,[status(thm)],[zip_derived_cl34]) ).

thf(zip_derived_cl1104,plain,
    ! [X0: del,X1: $i,X2: del,X3: $i] :
      ( ~ ( mem @ X1 @ ( arr @ X0 @ bool ) )
      | ~ ( mem @ X3 @ ( arr @ X2 @ X0 ) )
      | ( p @ ( ap @ ( ap @ ( c_2EquantHeuristics_2EGUESS__FORALL__POINT @ X2 @ X0 ) @ X3 ) @ X1 ) )
      | ( p @ ( ap @ X1 @ ( ap @ X3 @ ( sk__6 @ X1 @ X3 @ X2 ) ) ) ) ),
    inference(condensation,[status(thm)],[zip_derived_cl1103]) ).

thf(zip_derived_cl1105,plain,
    ! [X0: del,X1: $i] :
      ( ( p @ ( ap @ sk__15 @ ( ap @ X1 @ ( sk__6 @ sk__15 @ X1 @ X0 ) ) ) )
      | ( p @ ( ap @ ( ap @ ( c_2EquantHeuristics_2EGUESS__FORALL__POINT @ X0 @ sk__11 ) @ X1 ) @ sk__15 ) )
      | ~ ( mem @ X1 @ ( arr @ X0 @ sk__11 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl153,zip_derived_cl1104]) ).

thf(zip_derived_cl5899,plain,
    ( ( p @ ( ap @ ( ap @ ( c_2EquantHeuristics_2EGUESS__FORALL__POINT @ sk__12 @ sk__11 ) @ sk__13 ) @ sk__15 ) )
    | ( p @ ( ap @ sk__15 @ ( ap @ sk__13 @ ( sk__6 @ sk__15 @ sk__13 @ sk__12 ) ) ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl152,zip_derived_cl1105]) ).

thf(zip_derived_cl154,plain,
    ~ ( p @ ( ap @ ( ap @ ( c_2EquantHeuristics_2EGUESS__FORALL__POINT @ sk__12 @ sk__11 ) @ sk__13 ) @ sk__15 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl5903,plain,
    p @ ( ap @ sk__15 @ ( ap @ sk__13 @ ( sk__6 @ sk__15 @ sk__13 @ sk__12 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl5899,zip_derived_cl154]) ).

thf(zip_derived_cl155,plain,
    ! [X0: $i] :
      ( ~ ( p @ ( ap @ sk__15 @ X0 ) )
      | ( p @ ( ap @ sk__14 @ X0 ) )
      | ~ ( mem @ X0 @ sk__11 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl5911,plain,
    ( ~ ( mem @ ( ap @ sk__13 @ ( sk__6 @ sk__15 @ sk__13 @ sk__12 ) ) @ sk__11 )
    | ( p @ ( ap @ sk__14 @ ( ap @ sk__13 @ ( sk__6 @ sk__15 @ sk__13 @ sk__12 ) ) ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl5903,zip_derived_cl155]) ).

thf(zip_derived_cl156,plain,
    p @ ( ap @ ( ap @ ( c_2EquantHeuristics_2EGUESS__FORALL__POINT @ sk__12 @ sk__11 ) @ sk__13 ) @ sk__14 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl33,plain,
    ! [X0: $i,X1: del,X2: $i,X3: del,X4: $i,X5: $i,X6: $i] :
      ( ~ ( mem @ X0 @ ( arr @ X1 @ bool ) )
      | ~ ( mem @ X2 @ ( arr @ X3 @ X1 ) )
      | ~ ( mem @ X4 @ X3 )
      | ~ ( p @ ( ap @ X5 @ ( ap @ X2 @ X4 ) ) )
      | ~ ( p @ ( ap @ ( ap @ ( c_2EquantHeuristics_2EGUESS__FORALL__POINT @ X3 @ X1 ) @ X2 ) @ X5 ) )
      | ~ ( mem @ X5 @ ( arr @ X1 @ bool ) )
      | ~ ( mem @ X6 @ ( arr @ X3 @ X1 ) ) ),
    inference(cnf,[status(esa)],[conj_thm_2EquantHeuristics_2EGUESS__REWRITES]) ).

thf(zip_derived_cl1052,plain,
    ! [X0: del,X1: del,X2: $i,X3: $i,X4: $i,X5: $i] :
      ( ~ ( mem @ X2 @ ( arr @ X1 @ X0 ) )
      | ~ ( mem @ X3 @ ( arr @ X1 @ X0 ) )
      | ~ ( mem @ X4 @ X1 )
      | ~ ( p @ ( ap @ X5 @ ( ap @ X3 @ X4 ) ) )
      | ~ ( p @ ( ap @ ( ap @ ( c_2EquantHeuristics_2EGUESS__FORALL__POINT @ X1 @ X0 ) @ X3 ) @ X5 ) )
      | ~ ( mem @ X5 @ ( arr @ X0 @ bool ) ) ),
    inference(condensation,[status(thm)],[zip_derived_cl33]) ).

thf(zip_derived_cl1053,plain,
    ! [X0: del,X1: $i,X2: del,X3: $i,X4: $i] :
      ( ~ ( mem @ X1 @ ( arr @ X0 @ bool ) )
      | ~ ( mem @ X3 @ ( arr @ X2 @ X0 ) )
      | ~ ( mem @ X4 @ X2 )
      | ~ ( p @ ( ap @ X1 @ ( ap @ X3 @ X4 ) ) )
      | ~ ( p @ ( ap @ ( ap @ ( c_2EquantHeuristics_2EGUESS__FORALL__POINT @ X2 @ X0 ) @ X3 ) @ X1 ) ) ),
    inference(condensation,[status(thm)],[zip_derived_cl1052]) ).

thf(zip_derived_cl1054,plain,
    ! [X0: $i] :
      ( ~ ( p @ ( ap @ sk__14 @ ( ap @ sk__13 @ X0 ) ) )
      | ~ ( mem @ X0 @ sk__12 )
      | ~ ( mem @ sk__13 @ ( arr @ sk__12 @ sk__11 ) )
      | ~ ( mem @ sk__14 @ ( arr @ sk__11 @ bool ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl156,zip_derived_cl1053]) ).

thf(zip_derived_cl152_002,plain,
    mem @ sk__13 @ ( arr @ sk__12 @ sk__11 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl157,plain,
    mem @ sk__14 @ ( arr @ sk__11 @ bool ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl1058,plain,
    ! [X0: $i] :
      ( ~ ( p @ ( ap @ sk__14 @ ( ap @ sk__13 @ X0 ) ) )
      | ~ ( mem @ X0 @ sk__12 ) ),
    inference(demod,[status(thm)],[zip_derived_cl1054,zip_derived_cl152,zip_derived_cl157]) ).

thf(zip_derived_cl5957,plain,
    ( ~ ( mem @ ( ap @ sk__13 @ ( sk__6 @ sk__15 @ sk__13 @ sk__12 ) ) @ sk__11 )
    | ~ ( mem @ ( sk__6 @ sk__15 @ sk__13 @ sk__12 ) @ sk__12 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl5911,zip_derived_cl1058]) ).

thf(zip_derived_cl152_003,plain,
    mem @ sk__13 @ ( arr @ sk__12 @ sk__11 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl153_004,plain,
    mem @ sk__15 @ ( arr @ sk__11 @ bool ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl35,plain,
    ! [X0: $i,X1: del,X2: $i,X3: del,X4: $i,X5: $i] :
      ( ~ ( mem @ X0 @ ( arr @ X1 @ bool ) )
      | ~ ( mem @ X2 @ ( arr @ X3 @ X1 ) )
      | ( p @ ( ap @ ( ap @ ( c_2EquantHeuristics_2EGUESS__FORALL__POINT @ X3 @ X1 ) @ X2 ) @ X4 ) )
      | ( mem @ ( sk__6 @ X4 @ X2 @ X3 ) @ X3 )
      | ~ ( mem @ X4 @ ( arr @ X1 @ bool ) )
      | ~ ( mem @ X5 @ ( arr @ X3 @ X1 ) ) ),
    inference(cnf,[status(esa)],[conj_thm_2EquantHeuristics_2EGUESS__REWRITES]) ).

thf(zip_derived_cl1177,plain,
    ! [X0: del,X1: del,X2: $i,X3: $i,X4: $i] :
      ( ~ ( mem @ X2 @ ( arr @ X1 @ X0 ) )
      | ~ ( mem @ X3 @ ( arr @ X1 @ X0 ) )
      | ( p @ ( ap @ ( ap @ ( c_2EquantHeuristics_2EGUESS__FORALL__POINT @ X1 @ X0 ) @ X3 ) @ X4 ) )
      | ( mem @ ( sk__6 @ X4 @ X3 @ X1 ) @ X1 )
      | ~ ( mem @ X4 @ ( arr @ X0 @ bool ) ) ),
    inference(condensation,[status(thm)],[zip_derived_cl35]) ).

thf(zip_derived_cl1178,plain,
    ! [X0: del,X1: $i,X2: del,X3: $i] :
      ( ~ ( mem @ X1 @ ( arr @ X0 @ bool ) )
      | ~ ( mem @ X3 @ ( arr @ X2 @ X0 ) )
      | ( p @ ( ap @ ( ap @ ( c_2EquantHeuristics_2EGUESS__FORALL__POINT @ X2 @ X0 ) @ X3 ) @ X1 ) )
      | ( mem @ ( sk__6 @ X1 @ X3 @ X2 ) @ X2 ) ),
    inference(condensation,[status(thm)],[zip_derived_cl1177]) ).

thf(zip_derived_cl1179,plain,
    ! [X0: del,X1: $i] :
      ( ( mem @ ( sk__6 @ sk__15 @ X1 @ X0 ) @ X0 )
      | ( p @ ( ap @ ( ap @ ( c_2EquantHeuristics_2EGUESS__FORALL__POINT @ X0 @ sk__11 ) @ X1 ) @ sk__15 ) )
      | ~ ( mem @ X1 @ ( arr @ X0 @ sk__11 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl153,zip_derived_cl1178]) ).

thf(zip_derived_cl1653,plain,
    ( ( p @ ( ap @ ( ap @ ( c_2EquantHeuristics_2EGUESS__FORALL__POINT @ sk__12 @ sk__11 ) @ sk__13 ) @ sk__15 ) )
    | ( mem @ ( sk__6 @ sk__15 @ sk__13 @ sk__12 ) @ sk__12 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl152,zip_derived_cl1179]) ).

thf(zip_derived_cl154_005,plain,
    ~ ( p @ ( ap @ ( ap @ ( c_2EquantHeuristics_2EGUESS__FORALL__POINT @ sk__12 @ sk__11 ) @ sk__13 ) @ sk__15 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl1667,plain,
    mem @ ( sk__6 @ sk__15 @ sk__13 @ sk__12 ) @ sk__12,
    inference(clc,[status(thm)],[zip_derived_cl1653,zip_derived_cl154]) ).

thf(zip_derived_cl5982,plain,
    ~ ( mem @ ( ap @ sk__13 @ ( sk__6 @ sk__15 @ sk__13 @ sk__12 ) ) @ sk__11 ),
    inference(demod,[status(thm)],[zip_derived_cl5957,zip_derived_cl1667]) ).

thf(zip_derived_cl5995,plain,
    ~ ( mem @ ( sk__6 @ sk__15 @ sk__13 @ sk__12 ) @ sk__12 ),
    inference('sup-',[status(thm)],[zip_derived_cl199,zip_derived_cl5982]) ).

thf(zip_derived_cl1667_006,plain,
    mem @ ( sk__6 @ sk__15 @ sk__13 @ sk__12 ) @ sk__12,
    inference(clc,[status(thm)],[zip_derived_cl1653,zip_derived_cl154]) ).

thf(zip_derived_cl5997,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl5995,zip_derived_cl1667]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : ITP006^2 : TPTP v9.2.0. Bugfixed v7.5.0.
% 0.11/0.13  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.mu0uuqZeGD true
% 0.13/0.35  % Computer : n020.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit : 300
% 0.13/0.35  % WCLimit  : 300
% 0.13/0.35  % DateTime : Wed Oct  1 15:27:38 EDT 2025
% 0.13/0.35  % CPUTime  : 
% 0.13/0.35  % Running portfolio for 300 s
% 0.13/0.35  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.35  % Number of cores: 8
% 0.13/0.35  % Python version: Python 3.6.8
% 0.13/0.36  % Running in HO mode
% 0.56/0.67  % Total configuration time : 828
% 0.56/0.67  % Estimated wc time : 1656
% 0.56/0.67  % Estimated cpu time (8 cpus) : 207.0
% 0.56/0.74  % /export/starexec/sandbox2/solver/bin/lams/40_c.s.sh running for 80s
% 0.56/0.74  % /export/starexec/sandbox2/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.56/0.74  % /export/starexec/sandbox2/solver/bin/lams/15_e_short1.sh running for 30s
% 0.56/0.75  % /export/starexec/sandbox2/solver/bin/lams/40_c_ic.sh running for 80s
% 0.56/0.76  % /export/starexec/sandbox2/solver/bin/lams/40_noforms.sh running for 90s
% 0.56/0.76  % /export/starexec/sandbox2/solver/bin/lams/40_b.comb.sh running for 70s
% 0.56/0.77  % /export/starexec/sandbox2/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 0.56/0.77  % /export/starexec/sandbox2/solver/bin/lams/30_sp5.sh running for 60s
% 0.57/0.83  % /export/starexec/sandbox2/solver/bin/lams/30_b.l.sh running for 90s
% 17.74/2.85  % Solved by lams/40_c_ic.sh.
% 17.74/2.85  % done 1467 iterations in 2.080s
% 17.74/2.85  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 17.74/2.85  % SZS output start Refutation
% See solution above
% 17.74/2.85  
% 17.74/2.85  
% 17.74/2.85  % Terminating...
% 17.74/2.87  % Runner terminated.
% 17.74/2.89  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------