TSTP Solution File: SWW299+1 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SWW299+1 : TPTP v8.1.2. Released v5.2.0.
% Transfm  : NO INFORMATION
% Format   : NO INFORMATION
% Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.Km5PUjwug2 true

% Computer : n005.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 01:41:29 EDT 2023

% Result   : Theorem 8.92s 1.87s
% Output   : Refutation 8.92s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   12
%            Number of leaves      :   32
% Syntax   : Number of formulae    :   65 (  16 unt;  22 typ;   0 def)
%            Number of atoms       :   88 (  12 equ;   0 cnn)
%            Maximal formula atoms :    5 (   2 avg)
%            Number of connectives :  591 (  29   ~;  28   |;   2   &; 517   @)
%                                         (   3 <=>;  12  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   17 (  10 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   26 (  26   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   24 (  22 usr;   9 con; 0-4 aty)
%            Number of variables   :   88 (   0   ^;  84   !;   4   ?;  88   :)

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

thf(v_Q_H_type,type,
    v_Q_H: $i ).

thf(c_Hoare__Mirabelle_Otriple_Otriple_type,type,
    c_Hoare__Mirabelle_Otriple_Otriple: $i > $i > $i > $i > $i ).

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

thf(v_P_type,type,
    v_P: $i > $i > $o ).

thf(v_c_type,type,
    v_c: $i ).

thf(c_Hoare__Mirabelle_Ohoare__derivs_type,type,
    c_Hoare__Mirabelle_Ohoare__derivs: $i > $i > $i > $o ).

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

thf(c_Orderings_Obot__class_Obot_type,type,
    c_Orderings_Obot__class_Obot: $i > $i ).

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

thf(tc_HOL_Obool_type,type,
    tc_HOL_Obool: $i ).

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

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

thf(sk__1_type,type,
    sk__1: $i > $i > $i ).

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

thf(c_Set_Oinsert_type,type,
    c_Set_Oinsert: $i > $i ).

thf(sk__11_type,type,
    sk__11: $i > $i > $i ).

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

thf(v_P_H_type,type,
    v_P_H: $i ).

thf(tc_fun_type,type,
    tc_fun: $i > $i > $i ).

thf(v_Q_type,type,
    v_Q: $i > $i > $o ).

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

thf(conj_2,conjecture,
    ! [B_Z: $i,B_s: $i] :
      ( ( v_P @ B_Z @ B_s )
     => ? [B_P_H: $i,B_Q_H: $i] :
          ( ! [B_s_H: $i] :
              ( ! [B_Z_H: $i] :
                  ( ( hBOOL @ ( hAPP @ ( hAPP @ B_P_H @ B_Z_H ) @ B_s ) )
                 => ( hBOOL @ ( hAPP @ ( hAPP @ B_Q_H @ B_Z_H ) @ B_s_H ) ) )
             => ( v_Q @ B_Z @ B_s_H ) )
          & ( c_Hoare__Mirabelle_Ohoare__derivs @ t_a @ v_G @ ( hAPP @ ( hAPP @ ( c_Set_Oinsert @ ( tc_Hoare__Mirabelle_Otriple @ t_a ) ) @ ( c_Hoare__Mirabelle_Otriple_Otriple @ t_a @ B_P_H @ v_c @ B_Q_H ) ) @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ ( tc_Hoare__Mirabelle_Otriple @ t_a ) @ tc_HOL_Obool ) ) ) ) ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ! [B_Z: $i,B_s: $i] :
        ( ( v_P @ B_Z @ B_s )
       => ? [B_P_H: $i,B_Q_H: $i] :
            ( ! [B_s_H: $i] :
                ( ! [B_Z_H: $i] :
                    ( ( hBOOL @ ( hAPP @ ( hAPP @ B_P_H @ B_Z_H ) @ B_s ) )
                   => ( hBOOL @ ( hAPP @ ( hAPP @ B_Q_H @ B_Z_H ) @ B_s_H ) ) )
               => ( v_Q @ B_Z @ B_s_H ) )
            & ( c_Hoare__Mirabelle_Ohoare__derivs @ t_a @ v_G @ ( hAPP @ ( hAPP @ ( c_Set_Oinsert @ ( tc_Hoare__Mirabelle_Otriple @ t_a ) ) @ ( c_Hoare__Mirabelle_Otriple_Otriple @ t_a @ B_P_H @ v_c @ B_Q_H ) ) @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ ( tc_Hoare__Mirabelle_Otriple @ t_a ) @ tc_HOL_Obool ) ) ) ) ) ),
    inference('cnf.neg',[status(esa)],[conj_2]) ).

thf(zip_derived_cl145,plain,
    v_P @ sk__12 @ sk__13,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(conj_1,axiom,
    ! [B_Z: $i,B_s: $i] :
      ( ( v_P @ B_Z @ B_s )
     => ! [B_s_H: $i] :
          ( ! [B_Z_H: $i] :
              ( ( hBOOL @ ( hAPP @ ( hAPP @ v_P_H @ B_Z_H ) @ B_s ) )
             => ( hBOOL @ ( hAPP @ ( hAPP @ v_Q_H @ B_Z_H ) @ B_s_H ) ) )
         => ( v_Q @ B_Z @ B_s_H ) ) ) ).

thf(zip_derived_cl144,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( hBOOL @ ( hAPP @ ( hAPP @ v_P_H @ ( sk__11 @ X0 @ X1 ) ) @ X1 ) )
      | ( v_Q @ X2 @ X0 )
      | ~ ( v_P @ X2 @ X1 ) ),
    inference(cnf,[status(esa)],[conj_1]) ).

thf(zip_derived_cl197,plain,
    ! [X0: $i] :
      ( ( v_Q @ sk__12 @ X0 )
      | ( hBOOL @ ( hAPP @ ( hAPP @ v_P_H @ ( sk__11 @ X0 @ sk__13 ) ) @ sk__13 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl145,zip_derived_cl144]) ).

thf(fact_hoare__derivs_Oinsert,axiom,
    ! [V_ts_2: $i,V_t_2: $i,V_Ga_2: $i,T_b: $i] :
      ( ( c_Hoare__Mirabelle_Ohoare__derivs @ T_b @ V_Ga_2 @ ( hAPP @ ( hAPP @ ( c_Set_Oinsert @ ( tc_Hoare__Mirabelle_Otriple @ T_b ) ) @ V_t_2 ) @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ ( tc_Hoare__Mirabelle_Otriple @ T_b ) @ tc_HOL_Obool ) ) ) )
     => ( ( c_Hoare__Mirabelle_Ohoare__derivs @ T_b @ V_Ga_2 @ V_ts_2 )
       => ( c_Hoare__Mirabelle_Ohoare__derivs @ T_b @ V_Ga_2 @ ( hAPP @ ( hAPP @ ( c_Set_Oinsert @ ( tc_Hoare__Mirabelle_Otriple @ T_b ) ) @ V_t_2 ) @ V_ts_2 ) ) ) ) ).

thf(zip_derived_cl8,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ~ ( c_Hoare__Mirabelle_Ohoare__derivs @ X0 @ X1 @ X2 )
      | ( c_Hoare__Mirabelle_Ohoare__derivs @ X0 @ X1 @ ( hAPP @ ( hAPP @ ( c_Set_Oinsert @ ( tc_Hoare__Mirabelle_Otriple @ X0 ) ) @ X3 ) @ X2 ) )
      | ~ ( c_Hoare__Mirabelle_Ohoare__derivs @ X0 @ X1 @ ( hAPP @ ( hAPP @ ( c_Set_Oinsert @ ( tc_Hoare__Mirabelle_Otriple @ X0 ) ) @ X3 ) @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ ( tc_Hoare__Mirabelle_Otriple @ X0 ) @ tc_HOL_Obool ) ) ) ) ),
    inference(cnf,[status(esa)],[fact_hoare__derivs_Oinsert]) ).

thf(conj_0,axiom,
    c_Hoare__Mirabelle_Ohoare__derivs @ t_a @ v_G @ ( hAPP @ ( hAPP @ ( c_Set_Oinsert @ ( tc_Hoare__Mirabelle_Otriple @ t_a ) ) @ ( c_Hoare__Mirabelle_Otriple_Otriple @ t_a @ v_P_H @ v_c @ v_Q_H ) ) @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ ( tc_Hoare__Mirabelle_Otriple @ t_a ) @ tc_HOL_Obool ) ) ) ).

thf(zip_derived_cl142,plain,
    c_Hoare__Mirabelle_Ohoare__derivs @ t_a @ v_G @ ( hAPP @ ( hAPP @ ( c_Set_Oinsert @ ( tc_Hoare__Mirabelle_Otriple @ t_a ) ) @ ( c_Hoare__Mirabelle_Otriple_Otriple @ t_a @ v_P_H @ v_c @ v_Q_H ) ) @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ ( tc_Hoare__Mirabelle_Otriple @ t_a ) @ tc_HOL_Obool ) ) ),
    inference(cnf,[status(esa)],[conj_0]) ).

thf(zip_derived_cl174,plain,
    ! [X0: $i] :
      ( ( c_Hoare__Mirabelle_Ohoare__derivs @ t_a @ v_G @ ( hAPP @ ( hAPP @ ( c_Set_Oinsert @ ( tc_Hoare__Mirabelle_Otriple @ t_a ) ) @ ( c_Hoare__Mirabelle_Otriple_Otriple @ t_a @ v_P_H @ v_c @ v_Q_H ) ) @ X0 ) )
      | ~ ( c_Hoare__Mirabelle_Ohoare__derivs @ t_a @ v_G @ X0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl8,zip_derived_cl142]) ).

thf(zip_derived_cl147,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( hBOOL @ ( hAPP @ ( hAPP @ X1 @ X2 ) @ sk__13 ) )
      | ( hBOOL @ ( hAPP @ ( hAPP @ X0 @ X2 ) @ ( sk__14 @ X0 @ X1 ) ) )
      | ~ ( c_Hoare__Mirabelle_Ohoare__derivs @ t_a @ v_G @ ( hAPP @ ( hAPP @ ( c_Set_Oinsert @ ( tc_Hoare__Mirabelle_Otriple @ t_a ) ) @ ( c_Hoare__Mirabelle_Otriple_Otriple @ t_a @ X1 @ v_c @ X0 ) ) @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ ( tc_Hoare__Mirabelle_Otriple @ t_a ) @ tc_HOL_Obool ) ) ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl1018,plain,
    ! [X0: $i] :
      ( ~ ( c_Hoare__Mirabelle_Ohoare__derivs @ t_a @ v_G @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ ( tc_Hoare__Mirabelle_Otriple @ t_a ) @ tc_HOL_Obool ) ) )
      | ( hBOOL @ ( hAPP @ ( hAPP @ v_Q_H @ X0 ) @ ( sk__14 @ v_Q_H @ v_P_H ) ) )
      | ~ ( hBOOL @ ( hAPP @ ( hAPP @ v_P_H @ X0 ) @ sk__13 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl174,zip_derived_cl147]) ).

thf(fact_all__not__in__conv,axiom,
    ! [V_A_2: $i,T_b: $i] :
      ( ! [B_x: $i] :
          ~ ( hBOOL @ ( hAPP @ ( hAPP @ ( c_member @ T_b ) @ B_x ) @ V_A_2 ) )
    <=> ( V_A_2
        = ( c_Orderings_Obot__class_Obot @ ( tc_fun @ T_b @ tc_HOL_Obool ) ) ) ) ).

thf(zip_derived_cl61,plain,
    ! [X0: $i,X1: $i] :
      ( ( X1
        = ( c_Orderings_Obot__class_Obot @ ( tc_fun @ X0 @ tc_HOL_Obool ) ) )
      | ( hBOOL @ ( hAPP @ ( hAPP @ ( c_member @ X0 ) @ ( sk__1 @ X0 @ X1 ) ) @ X1 ) ) ),
    inference(cnf,[status(esa)],[fact_all__not__in__conv]) ).

thf(fact_insert__absorb,axiom,
    ! [V_A_2: $i,V_a_2: $i,T_b: $i] :
      ( ( hBOOL @ ( hAPP @ ( hAPP @ ( c_member @ T_b ) @ V_a_2 ) @ V_A_2 ) )
     => ( ( hAPP @ ( hAPP @ ( c_Set_Oinsert @ T_b ) @ V_a_2 ) @ V_A_2 )
        = V_A_2 ) ) ).

thf(zip_derived_cl76,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( ( hAPP @ ( hAPP @ ( c_Set_Oinsert @ X1 ) @ X2 ) @ X0 )
        = X0 )
      | ~ ( hBOOL @ ( hAPP @ ( hAPP @ ( c_member @ X1 ) @ X2 ) @ X0 ) ) ),
    inference(cnf,[status(esa)],[fact_insert__absorb]) ).

thf(zip_derived_cl474,plain,
    ! [X0: $i,X1: $i] :
      ( ( X0
        = ( c_Orderings_Obot__class_Obot @ ( tc_fun @ X1 @ tc_HOL_Obool ) ) )
      | ( ( hAPP @ ( hAPP @ ( c_Set_Oinsert @ X1 ) @ ( sk__1 @ X1 @ X0 ) ) @ X0 )
        = X0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl61,zip_derived_cl76]) ).

thf(fact_insert__code,axiom,
    ! [V_x_2: $i,V_A_2: $i,V_y_2: $i,T_b: $i] :
      ( ( hBOOL @ ( hAPP @ ( hAPP @ ( hAPP @ ( c_Set_Oinsert @ T_b ) @ V_y_2 ) @ V_A_2 ) @ V_x_2 ) )
    <=> ( ( V_y_2 = V_x_2 )
        | ( hBOOL @ ( hAPP @ V_A_2 @ V_x_2 ) ) ) ) ).

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

thf(zip_derived_cl563,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( hBOOL @ ( hAPP @ X0 @ X1 ) )
      | ( X0
        = ( c_Orderings_Obot__class_Obot @ ( tc_fun @ X2 @ tc_HOL_Obool ) ) )
      | ( ( sk__1 @ X2 @ X0 )
       != X1 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl474,zip_derived_cl23]) ).

thf(zip_derived_cl625,plain,
    ! [X0: $i,X1: $i] :
      ( ( X0
        = ( c_Orderings_Obot__class_Obot @ ( tc_fun @ X1 @ tc_HOL_Obool ) ) )
      | ( hBOOL @ ( hAPP @ X0 @ ( sk__1 @ X1 @ X0 ) ) ) ),
    inference(eq_res,[status(thm)],[zip_derived_cl563]) ).

thf(fact_bot__empty__eq,axiom,
    ! [V_x_2: $i,T_b: $i] :
      ( ( hBOOL @ ( hAPP @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ T_b @ tc_HOL_Obool ) ) @ V_x_2 ) )
    <=> ( hBOOL @ ( hAPP @ ( hAPP @ ( c_member @ T_b ) @ V_x_2 ) @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ T_b @ tc_HOL_Obool ) ) ) ) ) ).

thf(zip_derived_cl131,plain,
    ! [X0: $i,X1: $i] :
      ( ( hBOOL @ ( hAPP @ ( hAPP @ ( c_member @ X0 ) @ X1 ) @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ X0 @ tc_HOL_Obool ) ) ) )
      | ~ ( hBOOL @ ( hAPP @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ X0 @ tc_HOL_Obool ) ) @ X1 ) ) ),
    inference(cnf,[status(esa)],[fact_bot__empty__eq]) ).

thf(fact_emptyE,axiom,
    ! [V_a_2: $i,T_b: $i] :
      ~ ( hBOOL @ ( hAPP @ ( hAPP @ ( c_member @ T_b ) @ V_a_2 ) @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ T_b @ tc_HOL_Obool ) ) ) ) ).

thf(zip_derived_cl34,plain,
    ! [X0: $i,X1: $i] :
      ~ ( hBOOL @ ( hAPP @ ( hAPP @ ( c_member @ X0 ) @ X1 ) @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ X0 @ tc_HOL_Obool ) ) ) ),
    inference(cnf,[status(esa)],[fact_emptyE]) ).

thf(zip_derived_cl228,plain,
    ! [X0: $i,X1: $i] :
      ~ ( hBOOL @ ( hAPP @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ X0 @ tc_HOL_Obool ) ) @ X1 ) ),
    inference(clc,[status(thm)],[zip_derived_cl131,zip_derived_cl34]) ).

thf(zip_derived_cl643,plain,
    ! [X0: $i,X1: $i] :
      ( ( c_Orderings_Obot__class_Obot @ ( tc_fun @ X0 @ tc_HOL_Obool ) )
      = ( c_Orderings_Obot__class_Obot @ ( tc_fun @ X1 @ tc_HOL_Obool ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl625,zip_derived_cl228]) ).

thf(fact_empty,axiom,
    ! [V_Ga_2: $i,T_b: $i] : ( c_Hoare__Mirabelle_Ohoare__derivs @ T_b @ V_Ga_2 @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ ( tc_Hoare__Mirabelle_Otriple @ T_b ) @ tc_HOL_Obool ) ) ) ).

thf(zip_derived_cl1,plain,
    ! [X0: $i,X1: $i] : ( c_Hoare__Mirabelle_Ohoare__derivs @ X0 @ X1 @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ ( tc_Hoare__Mirabelle_Otriple @ X0 ) @ tc_HOL_Obool ) ) ),
    inference(cnf,[status(esa)],[fact_empty]) ).

thf(zip_derived_cl690,plain,
    ! [X0: $i,X1: $i,X2: $i] : ( c_Hoare__Mirabelle_Ohoare__derivs @ X1 @ X2 @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ X0 @ tc_HOL_Obool ) ) ),
    inference('sup+',[status(thm)],[zip_derived_cl643,zip_derived_cl1]) ).

thf(zip_derived_cl1021,plain,
    ! [X0: $i] :
      ( ( hBOOL @ ( hAPP @ ( hAPP @ v_Q_H @ X0 ) @ ( sk__14 @ v_Q_H @ v_P_H ) ) )
      | ~ ( hBOOL @ ( hAPP @ ( hAPP @ v_P_H @ X0 ) @ sk__13 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl1018,zip_derived_cl690]) ).

thf(zip_derived_cl143,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( hBOOL @ ( hAPP @ ( hAPP @ v_Q_H @ ( sk__11 @ X0 @ X1 ) ) @ X0 ) )
      | ( v_Q @ X2 @ X0 )
      | ~ ( v_P @ X2 @ X1 ) ),
    inference(cnf,[status(esa)],[conj_1]) ).

thf(zip_derived_cl1110,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( hBOOL @ ( hAPP @ ( hAPP @ v_P_H @ ( sk__11 @ ( sk__14 @ v_Q_H @ v_P_H ) @ X0 ) ) @ sk__13 ) )
      | ~ ( v_P @ X1 @ X0 )
      | ( v_Q @ X1 @ ( sk__14 @ v_Q_H @ v_P_H ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl1021,zip_derived_cl143]) ).

thf(zip_derived_cl2690,plain,
    ! [X0: $i] :
      ( ( v_Q @ sk__12 @ ( sk__14 @ v_Q_H @ v_P_H ) )
      | ( v_Q @ X0 @ ( sk__14 @ v_Q_H @ v_P_H ) )
      | ~ ( v_P @ X0 @ sk__13 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl197,zip_derived_cl1110]) ).

thf(zip_derived_cl142_001,plain,
    c_Hoare__Mirabelle_Ohoare__derivs @ t_a @ v_G @ ( hAPP @ ( hAPP @ ( c_Set_Oinsert @ ( tc_Hoare__Mirabelle_Otriple @ t_a ) ) @ ( c_Hoare__Mirabelle_Otriple_Otriple @ t_a @ v_P_H @ v_c @ v_Q_H ) ) @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ ( tc_Hoare__Mirabelle_Otriple @ t_a ) @ tc_HOL_Obool ) ) ),
    inference(cnf,[status(esa)],[conj_0]) ).

thf(zip_derived_cl146,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( v_Q @ sk__12 @ ( sk__14 @ X0 @ X1 ) )
      | ~ ( c_Hoare__Mirabelle_Ohoare__derivs @ t_a @ v_G @ ( hAPP @ ( hAPP @ ( c_Set_Oinsert @ ( tc_Hoare__Mirabelle_Otriple @ t_a ) ) @ ( c_Hoare__Mirabelle_Otriple_Otriple @ t_a @ X1 @ v_c @ X0 ) ) @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ ( tc_Hoare__Mirabelle_Otriple @ t_a ) @ tc_HOL_Obool ) ) ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl191,plain,
    ~ ( v_Q @ sk__12 @ ( sk__14 @ v_Q_H @ v_P_H ) ),
    inference('sup-',[status(thm)],[zip_derived_cl142,zip_derived_cl146]) ).

thf(zip_derived_cl2734,plain,
    ! [X0: $i] :
      ( ~ ( v_P @ X0 @ sk__13 )
      | ( v_Q @ X0 @ ( sk__14 @ v_Q_H @ v_P_H ) ) ),
    inference(clc,[status(thm)],[zip_derived_cl2690,zip_derived_cl191]) ).

thf(zip_derived_cl191_002,plain,
    ~ ( v_Q @ sk__12 @ ( sk__14 @ v_Q_H @ v_P_H ) ),
    inference('sup-',[status(thm)],[zip_derived_cl142,zip_derived_cl146]) ).

thf(zip_derived_cl2735,plain,
    ~ ( v_P @ sk__12 @ sk__13 ),
    inference('sup-',[status(thm)],[zip_derived_cl2734,zip_derived_cl191]) ).

thf(zip_derived_cl145_003,plain,
    v_P @ sk__12 @ sk__13,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl2736,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl2735,zip_derived_cl145]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : SWW299+1 : TPTP v8.1.2. Released v5.2.0.
% 0.07/0.14  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.Km5PUjwug2 true
% 0.13/0.35  % Computer : n005.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 : Sun Aug 27 19:08:38 EDT 2023
% 0.13/0.35  % CPUTime  : 
% 0.13/0.35  % Running portfolio for 300 s
% 0.13/0.35  % File         : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.35  % Number of cores: 8
% 0.13/0.36  % Python version: Python 3.6.8
% 0.13/0.36  % Running in FO mode
% 0.22/0.68  % Total configuration time : 435
% 0.22/0.68  % Estimated wc time : 1092
% 0.22/0.68  % Estimated cpu time (7 cpus) : 156.0
% 0.22/0.71  % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.22/0.72  % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.22/0.75  % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.22/0.76  % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.22/0.76  % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.22/0.76  % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.22/0.77  % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 8.92/1.87  % Solved by fo/fo4.sh.
% 8.92/1.87  % done 375 iterations in 1.062s
% 8.92/1.87  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 8.92/1.87  % SZS output start Refutation
% See solution above
% 8.92/1.87  
% 8.92/1.87  
% 8.92/1.87  % Terminating...
% 9.52/1.97  % Runner terminated.
% 9.52/1.98  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------