TSTP Solution File: SWW338+1 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SWW338+1 : TPTP v8.1.2. Released v5.2.0.
% Transfm  : NO INFORMATION
% Format   : NO INFORMATION
% Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.ObU0RFEhMu true

% Computer : n013.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 : Fri Sep  1 01:41:37 EDT 2023

% Result   : Theorem 149.90s 22.26s
% Output   : Refutation 149.90s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   12
%            Number of leaves      :   25
% Syntax   : Number of formulae    :   64 (   7 unt;  17 typ;   0 def)
%            Number of atoms       :  111 (   3 equ;   0 cnn)
%            Maximal formula atoms :    5 (   2 avg)
%            Number of connectives :  596 (  37   ~;  41   |;   0   &; 495   @)
%                                         (   1 <=>;  22  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   16 (  10 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   26 (  26   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   17 (  15 usr;   7 con; 0-4 aty)
%            Number of variables   :   97 (   0   ^;  97   !;   0   ?;  97   :)

% Comments : 
%------------------------------------------------------------------------------
thf(v_G_H_type,type,
    v_G_H: $i ).

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

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

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

thf(tc_Hoare__Mirabelle_Otriple_type,type,
    tc_Hoare__Mirabelle_Otriple: $i > $i ).

thf(v_G_type,type,
    v_G: $i ).

thf(hAPP_type,type,
    hAPP: $i > $i > $i ).

thf(t_a_type,type,
    t_a: $i ).

thf(c_Hoare__Mirabelle_Otriple__valid_type,type,
    c_Hoare__Mirabelle_Otriple__valid: $i > $i > $i > $o ).

thf(v_ts_type,type,
    v_ts: $i ).

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

thf(hBOOL_type,type,
    hBOOL: $i > $o ).

thf(c_member_type,type,
    c_member: $i > $i ).

thf(zip_tseitin_4_type,type,
    zip_tseitin_4: $i > $i > $i > $i > $o ).

thf(zip_tseitin_3_type,type,
    zip_tseitin_3: $i > $i > $i > $i > $o ).

thf(conj_4,conjecture,
    ! [B_n: $i] :
      ( ! [B_x: $i] :
          ( ( hBOOL @ ( hAPP @ ( hAPP @ ( c_member @ ( tc_Hoare__Mirabelle_Otriple @ t_a ) ) @ B_x ) @ v_G ) )
         => ( c_Hoare__Mirabelle_Otriple__valid @ t_a @ B_n @ B_x ) )
     => ! [B_x: $i] :
          ( ( hBOOL @ ( hAPP @ ( hAPP @ ( c_member @ ( tc_Hoare__Mirabelle_Otriple @ t_a ) ) @ B_x ) @ v_ts ) )
         => ( c_Hoare__Mirabelle_Otriple__valid @ t_a @ B_n @ B_x ) ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ! [B_n: $i] :
        ( ! [B_x: $i] :
            ( ( hBOOL @ ( hAPP @ ( hAPP @ ( c_member @ ( tc_Hoare__Mirabelle_Otriple @ t_a ) ) @ B_x ) @ v_G ) )
           => ( c_Hoare__Mirabelle_Otriple__valid @ t_a @ B_n @ B_x ) )
       => ! [B_x: $i] :
            ( ( hBOOL @ ( hAPP @ ( hAPP @ ( c_member @ ( tc_Hoare__Mirabelle_Otriple @ t_a ) ) @ B_x ) @ v_ts ) )
           => ( c_Hoare__Mirabelle_Otriple__valid @ t_a @ B_n @ B_x ) ) ),
    inference('cnf.neg',[status(esa)],[conj_4]) ).

thf(zip_derived_cl54,plain,
    ~ ( c_Hoare__Mirabelle_Otriple__valid @ t_a @ sk__14 @ sk__15 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(conj_1,axiom,
    ! [B_n: $i] :
      ( ! [B_x: $i] :
          ( ( hBOOL @ ( hAPP @ ( hAPP @ ( c_member @ ( tc_Hoare__Mirabelle_Otriple @ t_a ) ) @ B_x ) @ v_G_H ) )
         => ( c_Hoare__Mirabelle_Otriple__valid @ t_a @ B_n @ B_x ) )
     => ! [B_x: $i] :
          ( ( hBOOL @ ( hAPP @ ( hAPP @ ( c_member @ ( tc_Hoare__Mirabelle_Otriple @ t_a ) ) @ B_x ) @ v_ts ) )
         => ( c_Hoare__Mirabelle_Otriple__valid @ t_a @ B_n @ B_x ) ) ) ).

thf(zip_derived_cl49,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( hBOOL @ ( hAPP @ ( hAPP @ ( c_member @ ( tc_Hoare__Mirabelle_Otriple @ t_a ) ) @ X0 ) @ v_ts ) )
      | ( c_Hoare__Mirabelle_Otriple__valid @ t_a @ X1 @ X0 )
      | ~ ( c_Hoare__Mirabelle_Otriple__valid @ t_a @ X1 @ ( sk__12 @ X1 ) ) ),
    inference(cnf,[status(esa)],[conj_1]) ).

thf(zip_derived_cl55,plain,
    hBOOL @ ( hAPP @ ( hAPP @ ( c_member @ ( tc_Hoare__Mirabelle_Otriple @ t_a ) ) @ sk__15 ) @ v_ts ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl246,plain,
    ! [X0: $i] :
      ( ~ ( c_Hoare__Mirabelle_Otriple__valid @ t_a @ X0 @ ( sk__12 @ X0 ) )
      | ( c_Hoare__Mirabelle_Otriple__valid @ t_a @ X0 @ sk__15 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl49,zip_derived_cl55]) ).

thf(fact_equalityCE,axiom,
    ! [V_c_2: $i,T_b: $i,V_B_2: $i,V_A_2: $i] :
      ( ( V_A_2 = V_B_2 )
     => ( ( ( hBOOL @ ( hAPP @ ( hAPP @ ( c_member @ T_b ) @ V_c_2 ) @ V_A_2 ) )
         => ~ ( hBOOL @ ( hAPP @ ( hAPP @ ( c_member @ T_b ) @ V_c_2 ) @ V_B_2 ) ) )
       => ~ ( ~ ( hBOOL @ ( hAPP @ ( hAPP @ ( c_member @ T_b ) @ V_c_2 ) @ V_A_2 ) )
           => ( hBOOL @ ( hAPP @ ( hAPP @ ( c_member @ T_b ) @ V_c_2 ) @ V_B_2 ) ) ) ) ) ).

thf(zf_stmt_1,axiom,
    ! [V_A_2: $i,V_B_2: $i,T_b: $i,V_c_2: $i] :
      ( ( ( hBOOL @ ( hAPP @ ( hAPP @ ( c_member @ T_b ) @ V_c_2 ) @ V_A_2 ) )
       => ~ ( hBOOL @ ( hAPP @ ( hAPP @ ( c_member @ T_b ) @ V_c_2 ) @ V_B_2 ) ) )
     => ( zip_tseitin_3 @ V_A_2 @ V_B_2 @ T_b @ V_c_2 ) ) ).

thf(zip_derived_cl23,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ( zip_tseitin_3 @ X0 @ X1 @ X2 @ X3 )
      | ( hBOOL @ ( hAPP @ ( hAPP @ ( c_member @ X2 ) @ X3 ) @ X1 ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_1]) ).

thf(fact_mem__def,axiom,
    ! [V_A_2: $i,V_x_2: $i,T_b: $i] :
      ( ( hBOOL @ ( hAPP @ ( hAPP @ ( c_member @ T_b ) @ V_x_2 ) @ V_A_2 ) )
    <=> ( hBOOL @ ( hAPP @ V_A_2 @ V_x_2 ) ) ) ).

thf(zip_derived_cl34,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( hBOOL @ ( hAPP @ X0 @ X1 ) )
      | ~ ( hBOOL @ ( hAPP @ ( hAPP @ ( c_member @ X2 ) @ X1 ) @ X0 ) ) ),
    inference(cnf,[status(esa)],[fact_mem__def]) ).

thf(zip_derived_cl672,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ( zip_tseitin_3 @ X3 @ X0 @ X2 @ X1 )
      | ( hBOOL @ ( hAPP @ X0 @ X1 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl23,zip_derived_cl34]) ).

thf(zip_derived_cl35,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( hBOOL @ ( hAPP @ ( hAPP @ ( c_member @ X0 ) @ X1 ) @ X2 ) )
      | ~ ( hBOOL @ ( hAPP @ X2 @ X1 ) ) ),
    inference(cnf,[status(esa)],[fact_mem__def]) ).

thf(zip_derived_cl53,plain,
    ! [X0: $i] :
      ( ( c_Hoare__Mirabelle_Otriple__valid @ t_a @ sk__14 @ X0 )
      | ~ ( hBOOL @ ( hAPP @ ( hAPP @ ( c_member @ ( tc_Hoare__Mirabelle_Otriple @ t_a ) ) @ X0 ) @ v_G ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl68,plain,
    ! [X0: $i] :
      ( ~ ( hBOOL @ ( hAPP @ v_G @ X0 ) )
      | ( c_Hoare__Mirabelle_Otriple__valid @ t_a @ sk__14 @ X0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl35,zip_derived_cl53]) ).

thf(zip_derived_cl908,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( zip_tseitin_3 @ X2 @ v_G @ X1 @ X0 )
      | ( c_Hoare__Mirabelle_Otriple__valid @ t_a @ sk__14 @ X0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl672,zip_derived_cl68]) ).

thf(conj_3,axiom,
    ! [B_n: $i] :
      ( ! [B_x: $i] :
          ( ( hBOOL @ ( hAPP @ ( hAPP @ ( c_member @ ( tc_Hoare__Mirabelle_Otriple @ t_a ) ) @ B_x ) @ v_G ) )
         => ( c_Hoare__Mirabelle_Otriple__valid @ t_a @ B_n @ B_x ) )
     => ! [B_x: $i] :
          ( ( hBOOL @ ( hAPP @ ( hAPP @ ( c_member @ ( tc_Hoare__Mirabelle_Otriple @ t_a ) ) @ B_x ) @ v_G_H ) )
         => ( c_Hoare__Mirabelle_Otriple__valid @ t_a @ B_n @ B_x ) ) ) ).

thf(zip_derived_cl52,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( hBOOL @ ( hAPP @ ( hAPP @ ( c_member @ ( tc_Hoare__Mirabelle_Otriple @ t_a ) ) @ X0 ) @ v_G_H ) )
      | ( c_Hoare__Mirabelle_Otriple__valid @ t_a @ X1 @ X0 )
      | ~ ( c_Hoare__Mirabelle_Otriple__valid @ t_a @ X1 @ ( sk__13 @ X1 ) ) ),
    inference(cnf,[status(esa)],[conj_3]) ).

thf(zip_derived_cl246_001,plain,
    ! [X0: $i] :
      ( ~ ( c_Hoare__Mirabelle_Otriple__valid @ t_a @ X0 @ ( sk__12 @ X0 ) )
      | ( c_Hoare__Mirabelle_Otriple__valid @ t_a @ X0 @ sk__15 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl49,zip_derived_cl55]) ).

thf(zip_derived_cl305,plain,
    ! [X0: $i] :
      ( ~ ( c_Hoare__Mirabelle_Otriple__valid @ t_a @ X0 @ ( sk__13 @ X0 ) )
      | ~ ( hBOOL @ ( hAPP @ ( hAPP @ ( c_member @ ( tc_Hoare__Mirabelle_Otriple @ t_a ) ) @ ( sk__12 @ X0 ) ) @ v_G_H ) )
      | ( c_Hoare__Mirabelle_Otriple__valid @ t_a @ X0 @ sk__15 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl52,zip_derived_cl246]) ).

thf(zip_derived_cl55_002,plain,
    hBOOL @ ( hAPP @ ( hAPP @ ( c_member @ ( tc_Hoare__Mirabelle_Otriple @ t_a ) ) @ sk__15 ) @ v_ts ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl48,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( hBOOL @ ( hAPP @ ( hAPP @ ( c_member @ ( tc_Hoare__Mirabelle_Otriple @ t_a ) ) @ X0 ) @ v_ts ) )
      | ( c_Hoare__Mirabelle_Otriple__valid @ t_a @ X1 @ X0 )
      | ( hBOOL @ ( hAPP @ ( hAPP @ ( c_member @ ( tc_Hoare__Mirabelle_Otriple @ t_a ) ) @ ( sk__12 @ X1 ) ) @ v_G_H ) ) ),
    inference(cnf,[status(esa)],[conj_1]) ).

thf(zip_derived_cl1365,plain,
    ! [X0: $i] :
      ( ( hBOOL @ ( hAPP @ ( hAPP @ ( c_member @ ( tc_Hoare__Mirabelle_Otriple @ t_a ) ) @ ( sk__12 @ X0 ) ) @ v_G_H ) )
      | ( c_Hoare__Mirabelle_Otriple__valid @ t_a @ X0 @ sk__15 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl55,zip_derived_cl48]) ).

thf(zip_derived_cl1443,plain,
    ! [X0: $i] :
      ( ( c_Hoare__Mirabelle_Otriple__valid @ t_a @ X0 @ sk__15 )
      | ~ ( c_Hoare__Mirabelle_Otriple__valid @ t_a @ X0 @ ( sk__13 @ X0 ) )
      | ( c_Hoare__Mirabelle_Otriple__valid @ t_a @ X0 @ sk__15 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl305,zip_derived_cl1365]) ).

thf(zip_derived_cl1444,plain,
    ! [X0: $i] :
      ( ~ ( c_Hoare__Mirabelle_Otriple__valid @ t_a @ X0 @ ( sk__13 @ X0 ) )
      | ( c_Hoare__Mirabelle_Otriple__valid @ t_a @ X0 @ sk__15 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl1443]) ).

thf(zip_derived_cl1454,plain,
    ! [X0: $i,X1: $i] :
      ( ( zip_tseitin_3 @ X1 @ v_G @ X0 @ ( sk__13 @ sk__14 ) )
      | ( c_Hoare__Mirabelle_Otriple__valid @ t_a @ sk__14 @ sk__15 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl908,zip_derived_cl1444]) ).

thf(zip_derived_cl54_003,plain,
    ~ ( c_Hoare__Mirabelle_Otriple__valid @ t_a @ sk__14 @ sk__15 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl1459,plain,
    ! [X0: $i,X1: $i] : ( zip_tseitin_3 @ X1 @ v_G @ X0 @ ( sk__13 @ sk__14 ) ),
    inference(demod,[status(thm)],[zip_derived_cl1454,zip_derived_cl54]) ).

thf(zip_derived_cl1365_004,plain,
    ! [X0: $i] :
      ( ( hBOOL @ ( hAPP @ ( hAPP @ ( c_member @ ( tc_Hoare__Mirabelle_Otriple @ t_a ) ) @ ( sk__12 @ X0 ) ) @ v_G_H ) )
      | ( c_Hoare__Mirabelle_Otriple__valid @ t_a @ X0 @ sk__15 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl55,zip_derived_cl48]) ).

thf(zip_derived_cl34_005,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( hBOOL @ ( hAPP @ X0 @ X1 ) )
      | ~ ( hBOOL @ ( hAPP @ ( hAPP @ ( c_member @ X2 ) @ X1 ) @ X0 ) ) ),
    inference(cnf,[status(esa)],[fact_mem__def]) ).

thf(zip_derived_cl1430,plain,
    ! [X0: $i] :
      ( ( c_Hoare__Mirabelle_Otriple__valid @ t_a @ X0 @ sk__15 )
      | ( hBOOL @ ( hAPP @ v_G_H @ ( sk__12 @ X0 ) ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl1365,zip_derived_cl34]) ).

thf(zip_derived_cl35_006,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( hBOOL @ ( hAPP @ ( hAPP @ ( c_member @ X0 ) @ X1 ) @ X2 ) )
      | ~ ( hBOOL @ ( hAPP @ X2 @ X1 ) ) ),
    inference(cnf,[status(esa)],[fact_mem__def]) ).

thf(zip_derived_cl51,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( hBOOL @ ( hAPP @ ( hAPP @ ( c_member @ ( tc_Hoare__Mirabelle_Otriple @ t_a ) ) @ X0 ) @ v_G_H ) )
      | ( c_Hoare__Mirabelle_Otriple__valid @ t_a @ X1 @ X0 )
      | ( hBOOL @ ( hAPP @ ( hAPP @ ( c_member @ ( tc_Hoare__Mirabelle_Otriple @ t_a ) ) @ ( sk__13 @ X1 ) ) @ v_G ) ) ),
    inference(cnf,[status(esa)],[conj_3]) ).

thf(zip_derived_cl1375,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( hBOOL @ ( hAPP @ v_G_H @ X0 ) )
      | ( hBOOL @ ( hAPP @ ( hAPP @ ( c_member @ ( tc_Hoare__Mirabelle_Otriple @ t_a ) ) @ ( sk__13 @ X1 ) ) @ v_G ) )
      | ( c_Hoare__Mirabelle_Otriple__valid @ t_a @ X1 @ X0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl35,zip_derived_cl51]) ).

thf(zip_derived_cl1537,plain,
    ! [X0: $i,X1: $i] :
      ( ( c_Hoare__Mirabelle_Otriple__valid @ t_a @ X0 @ sk__15 )
      | ( c_Hoare__Mirabelle_Otriple__valid @ t_a @ X1 @ ( sk__12 @ X0 ) )
      | ( hBOOL @ ( hAPP @ ( hAPP @ ( c_member @ ( tc_Hoare__Mirabelle_Otriple @ t_a ) ) @ ( sk__13 @ X1 ) ) @ v_G ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl1430,zip_derived_cl1375]) ).

thf(zf_stmt_2,axiom,
    ! [V_A_2: $i,V_B_2: $i,T_b: $i,V_c_2: $i] :
      ( ( ~ ( hBOOL @ ( hAPP @ ( hAPP @ ( c_member @ T_b ) @ V_c_2 ) @ V_A_2 ) )
       => ( hBOOL @ ( hAPP @ ( hAPP @ ( c_member @ T_b ) @ V_c_2 ) @ V_B_2 ) ) )
     => ( zip_tseitin_4 @ V_A_2 @ V_B_2 @ T_b @ V_c_2 ) ) ).

thf(zip_derived_cl25,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ( zip_tseitin_4 @ X0 @ X1 @ X2 @ X3 )
      | ~ ( hBOOL @ ( hAPP @ ( hAPP @ ( c_member @ X2 ) @ X3 ) @ X1 ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_2]) ).

thf(zf_stmt_3,type,
    zip_tseitin_4: $i > $i > $i > $i > $o ).

thf(zf_stmt_4,type,
    zip_tseitin_3: $i > $i > $i > $i > $o ).

thf(zf_stmt_5,axiom,
    ! [V_c_2: $i,T_b: $i,V_B_2: $i,V_A_2: $i] :
      ( ( V_A_2 = V_B_2 )
     => ( ( zip_tseitin_3 @ V_A_2 @ V_B_2 @ T_b @ V_c_2 )
       => ~ ( zip_tseitin_4 @ V_A_2 @ V_B_2 @ T_b @ V_c_2 ) ) ) ).

thf(zip_derived_cl27,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ~ ( zip_tseitin_3 @ X0 @ X1 @ X2 @ X3 )
      | ~ ( zip_tseitin_4 @ X0 @ X1 @ X2 @ X3 )
      | ( X0 != X1 ) ),
    inference(cnf,[status(esa)],[zf_stmt_5]) ).

thf(zip_derived_cl56,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( zip_tseitin_4 @ X2 @ X2 @ X1 @ X0 )
      | ~ ( zip_tseitin_3 @ X2 @ X2 @ X1 @ X0 ) ),
    inference(eq_res,[status(thm)],[zip_derived_cl27]) ).

thf(zip_derived_cl110,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( hBOOL @ ( hAPP @ ( hAPP @ ( c_member @ X1 ) @ X0 ) @ X2 ) )
      | ~ ( zip_tseitin_3 @ X2 @ X2 @ X1 @ X0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl25,zip_derived_cl56]) ).

thf(zip_derived_cl43442,plain,
    ! [X0: $i,X1: $i] :
      ( ( c_Hoare__Mirabelle_Otriple__valid @ t_a @ X0 @ ( sk__12 @ X1 ) )
      | ( c_Hoare__Mirabelle_Otriple__valid @ t_a @ X1 @ sk__15 )
      | ~ ( zip_tseitin_3 @ v_G @ v_G @ ( tc_Hoare__Mirabelle_Otriple @ t_a ) @ ( sk__13 @ X0 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl1537,zip_derived_cl110]) ).

thf(zip_derived_cl43760,plain,
    ! [X0: $i] :
      ( ( c_Hoare__Mirabelle_Otriple__valid @ t_a @ X0 @ sk__15 )
      | ( c_Hoare__Mirabelle_Otriple__valid @ t_a @ sk__14 @ ( sk__12 @ X0 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl1459,zip_derived_cl43442]) ).

thf(zip_derived_cl43795,plain,
    ( ( c_Hoare__Mirabelle_Otriple__valid @ t_a @ sk__14 @ sk__15 )
    | ( c_Hoare__Mirabelle_Otriple__valid @ t_a @ sk__14 @ sk__15 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl246,zip_derived_cl43760]) ).

thf(zip_derived_cl43796,plain,
    c_Hoare__Mirabelle_Otriple__valid @ t_a @ sk__14 @ sk__15,
    inference(simplify,[status(thm)],[zip_derived_cl43795]) ).

thf(zip_derived_cl43822,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl54,zip_derived_cl43796]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : SWW338+1 : TPTP v8.1.2. Released v5.2.0.
% 0.00/0.13  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.ObU0RFEhMu true
% 0.12/0.33  % Computer : n013.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
% 0.12/0.33  % DateTime : Sun Aug 27 21:37:32 EDT 2023
% 0.12/0.33  % CPUTime  : 
% 0.12/0.33  % Running portfolio for 300 s
% 0.12/0.33  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.33  % Number of cores: 8
% 0.12/0.33  % Python version: Python 3.6.8
% 0.12/0.33  % Running in FO mode
% 0.18/0.56  % Total configuration time : 435
% 0.18/0.56  % Estimated wc time : 1092
% 0.18/0.56  % Estimated cpu time (7 cpus) : 156.0
% 0.18/0.68  % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.18/0.69  % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.18/0.70  % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.18/0.70  % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.18/0.70  % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.18/0.70  % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.18/0.70  % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 149.90/22.26  % Solved by fo/fo4.sh.
% 149.90/22.26  % done 5029 iterations in 21.498s
% 149.90/22.26  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 149.90/22.26  % SZS output start Refutation
% See solution above
% 149.90/22.26  
% 149.90/22.26  
% 149.90/22.26  % Terminating...
% 149.90/22.37  % Runner terminated.
% 149.90/22.38  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------