TSTP Solution File: SWW316+1 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SWW316+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.dvF4ONZ5Z8 true

% Computer : n008.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 01:41:32 EDT 2023

% Result   : Theorem 8.69s 1.83s
% Output   : Refutation 8.69s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :   31
% Syntax   : Number of formulae    :   43 (  11 unt;  25 typ;   0 def)
%            Number of atoms       :   27 (   0 equ;   0 cnn)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :  982 (   8   ~;   5   |;   0   &; 965   @)
%                                         (   0 <=>;   4  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   32 (  17 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   23 (  23   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   26 (  25 usr;  13 con; 0-3 aty)
%            Number of variables   :   25 (   0   ^;  25   !;   0   ?;  25   :)

% Comments : 
%------------------------------------------------------------------------------
thf(c_COMBB_type,type,
    c_COMBB: $i > $i > $i > $i ).

thf(v_Procs_type,type,
    v_Procs: $i ).

thf(tc_Com_Opname_type,type,
    tc_Com_Opname: $i ).

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

thf(c_Lattices_Osemilattice__sup__class_Osup_type,type,
    c_Lattices_Osemilattice__sup__class_Osup: $i > $i ).

thf(c_Set_Oimage_type,type,
    c_Set_Oimage: $i > $i > $i > $i ).

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

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

thf(c_COMBS_type,type,
    c_COMBS: $i > $i > $i > $i ).

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

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

thf(c_Option_Othe_type,type,
    c_Option_Othe: $i > $i ).

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

thf(tc_Com_Ocom_type,type,
    tc_Com_Ocom: $i ).

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

thf(v_Ga_type,type,
    v_Ga: $i ).

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

thf(c_Com_Obody_type,type,
    c_Com_Obody: $i ).

thf(c_Orderings_Oord__class_Oless__eq_type,type,
    c_Orderings_Oord__class_Oless__eq: $i > $i ).

thf(tc_Com_Ostate_type,type,
    tc_Com_Ostate: $i ).

thf(tc_Option_Ooption_type,type,
    tc_Option_Ooption: $i > $i ).

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

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

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

thf(c_Com_Ocom_OBODY_type,type,
    c_Com_Ocom_OBODY: $i ).

thf(fact_asm,axiom,
    ! [V_G_2: $i,V_tsa_2: $i,T_b: $i] :
      ( ( hBOOL @ ( hAPP @ ( hAPP @ ( c_Orderings_Oord__class_Oless__eq @ ( tc_fun @ ( tc_Hoare__Mirabelle_Otriple @ T_b ) @ tc_HOL_Obool ) ) @ V_tsa_2 ) @ V_G_2 ) )
     => ( c_Hoare__Mirabelle_Ohoare__derivs @ T_b @ V_G_2 @ V_tsa_2 ) ) ).

thf(zip_derived_cl5,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( c_Hoare__Mirabelle_Ohoare__derivs @ X0 @ X1 @ X2 )
      | ~ ( hBOOL @ ( hAPP @ ( hAPP @ ( c_Orderings_Oord__class_Oless__eq @ ( tc_fun @ ( tc_Hoare__Mirabelle_Otriple @ X0 ) @ tc_HOL_Obool ) ) @ X2 ) @ X1 ) ) ),
    inference(cnf,[status(esa)],[fact_asm]) ).

thf(conj_2,axiom,
    hBOOL @ ( hAPP @ ( hAPP @ ( c_Orderings_Oord__class_Oless__eq @ ( tc_fun @ ( tc_Hoare__Mirabelle_Otriple @ t_a ) @ tc_HOL_Obool ) ) @ v_G ) @ v_Ga ) ).

thf(zip_derived_cl85,plain,
    hBOOL @ ( hAPP @ ( hAPP @ ( c_Orderings_Oord__class_Oless__eq @ ( tc_fun @ ( tc_Hoare__Mirabelle_Otriple @ t_a ) @ tc_HOL_Obool ) ) @ v_G ) @ v_Ga ),
    inference(cnf,[status(esa)],[conj_2]) ).

thf(zip_derived_cl252,plain,
    c_Hoare__Mirabelle_Ohoare__derivs @ t_a @ v_Ga @ v_G,
    inference('sup+',[status(thm)],[zip_derived_cl5,zip_derived_cl85]) ).

thf(fact_cut,axiom,
    ! [V_G_2: $i,V_tsa_2: $i,V_G_Ha_2: $i,T_b: $i] :
      ( ( c_Hoare__Mirabelle_Ohoare__derivs @ T_b @ V_G_Ha_2 @ V_tsa_2 )
     => ( ( c_Hoare__Mirabelle_Ohoare__derivs @ T_b @ V_G_2 @ V_G_Ha_2 )
       => ( c_Hoare__Mirabelle_Ohoare__derivs @ T_b @ V_G_2 @ V_tsa_2 ) ) ) ).

thf(zip_derived_cl7,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ~ ( c_Hoare__Mirabelle_Ohoare__derivs @ X0 @ X1 @ X2 )
      | ( c_Hoare__Mirabelle_Ohoare__derivs @ X0 @ X1 @ X3 )
      | ~ ( c_Hoare__Mirabelle_Ohoare__derivs @ X0 @ X2 @ X3 ) ),
    inference(cnf,[status(esa)],[fact_cut]) ).

thf(zip_derived_cl334,plain,
    ! [X0: $i] :
      ( ~ ( c_Hoare__Mirabelle_Ohoare__derivs @ t_a @ v_G @ X0 )
      | ( c_Hoare__Mirabelle_Ohoare__derivs @ t_a @ v_Ga @ X0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl252,zip_derived_cl7]) ).

thf(conj_3,conjecture,
    c_Hoare__Mirabelle_Ohoare__derivs @ t_a @ v_Ga @ ( hAPP @ ( c_Set_Oimage @ tc_Com_Opname @ ( tc_Hoare__Mirabelle_Otriple @ t_a ) @ ( hAPP @ ( hAPP @ ( c_COMBS @ tc_Com_Opname @ ( tc_fun @ t_a @ ( tc_fun @ tc_Com_Ostate @ tc_HOL_Obool ) ) @ ( tc_Hoare__Mirabelle_Otriple @ t_a ) ) @ ( hAPP @ ( hAPP @ ( c_COMBS @ tc_Com_Opname @ tc_Com_Ocom @ ( tc_fun @ ( tc_fun @ t_a @ ( tc_fun @ tc_Com_Ostate @ tc_HOL_Obool ) ) @ ( tc_Hoare__Mirabelle_Otriple @ t_a ) ) ) @ ( hAPP @ ( hAPP @ ( c_COMBB @ ( tc_fun @ t_a @ ( tc_fun @ tc_Com_Ostate @ tc_HOL_Obool ) ) @ ( tc_fun @ tc_Com_Ocom @ ( tc_fun @ ( tc_fun @ t_a @ ( tc_fun @ tc_Com_Ostate @ tc_HOL_Obool ) ) @ ( tc_Hoare__Mirabelle_Otriple @ t_a ) ) ) @ tc_Com_Opname ) @ ( c_Hoare__Mirabelle_Otriple_Otriple @ t_a ) ) @ v_P ) ) @ c_Com_Ocom_OBODY ) ) @ v_Q ) ) @ v_Procs ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ( c_Hoare__Mirabelle_Ohoare__derivs @ t_a @ v_Ga @ ( hAPP @ ( c_Set_Oimage @ tc_Com_Opname @ ( tc_Hoare__Mirabelle_Otriple @ t_a ) @ ( hAPP @ ( hAPP @ ( c_COMBS @ tc_Com_Opname @ ( tc_fun @ t_a @ ( tc_fun @ tc_Com_Ostate @ tc_HOL_Obool ) ) @ ( tc_Hoare__Mirabelle_Otriple @ t_a ) ) @ ( hAPP @ ( hAPP @ ( c_COMBS @ tc_Com_Opname @ tc_Com_Ocom @ ( tc_fun @ ( tc_fun @ t_a @ ( tc_fun @ tc_Com_Ostate @ tc_HOL_Obool ) ) @ ( tc_Hoare__Mirabelle_Otriple @ t_a ) ) ) @ ( hAPP @ ( hAPP @ ( c_COMBB @ ( tc_fun @ t_a @ ( tc_fun @ tc_Com_Ostate @ tc_HOL_Obool ) ) @ ( tc_fun @ tc_Com_Ocom @ ( tc_fun @ ( tc_fun @ t_a @ ( tc_fun @ tc_Com_Ostate @ tc_HOL_Obool ) ) @ ( tc_Hoare__Mirabelle_Otriple @ t_a ) ) ) @ tc_Com_Opname ) @ ( c_Hoare__Mirabelle_Otriple_Otriple @ t_a ) ) @ v_P ) ) @ c_Com_Ocom_OBODY ) ) @ v_Q ) ) @ v_Procs ) ),
    inference('cnf.neg',[status(esa)],[conj_3]) ).

thf(zip_derived_cl86,plain,
    ~ ( c_Hoare__Mirabelle_Ohoare__derivs @ t_a @ v_Ga @ ( hAPP @ ( c_Set_Oimage @ tc_Com_Opname @ ( tc_Hoare__Mirabelle_Otriple @ t_a ) @ ( hAPP @ ( hAPP @ ( c_COMBS @ tc_Com_Opname @ ( tc_fun @ t_a @ ( tc_fun @ tc_Com_Ostate @ tc_HOL_Obool ) ) @ ( tc_Hoare__Mirabelle_Otriple @ t_a ) ) @ ( hAPP @ ( hAPP @ ( c_COMBS @ tc_Com_Opname @ tc_Com_Ocom @ ( tc_fun @ ( tc_fun @ t_a @ ( tc_fun @ tc_Com_Ostate @ tc_HOL_Obool ) ) @ ( tc_Hoare__Mirabelle_Otriple @ t_a ) ) ) @ ( hAPP @ ( hAPP @ ( c_COMBB @ ( tc_fun @ t_a @ ( tc_fun @ tc_Com_Ostate @ tc_HOL_Obool ) ) @ ( tc_fun @ tc_Com_Ocom @ ( tc_fun @ ( tc_fun @ t_a @ ( tc_fun @ tc_Com_Ostate @ tc_HOL_Obool ) ) @ ( tc_Hoare__Mirabelle_Otriple @ t_a ) ) ) @ tc_Com_Opname ) @ ( c_Hoare__Mirabelle_Otriple_Otriple @ t_a ) ) @ v_P ) ) @ c_Com_Ocom_OBODY ) ) @ v_Q ) ) @ v_Procs ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl339,plain,
    ~ ( c_Hoare__Mirabelle_Ohoare__derivs @ t_a @ v_G @ ( hAPP @ ( c_Set_Oimage @ tc_Com_Opname @ ( tc_Hoare__Mirabelle_Otriple @ t_a ) @ ( hAPP @ ( hAPP @ ( c_COMBS @ tc_Com_Opname @ ( tc_fun @ t_a @ ( tc_fun @ tc_Com_Ostate @ tc_HOL_Obool ) ) @ ( tc_Hoare__Mirabelle_Otriple @ t_a ) ) @ ( hAPP @ ( hAPP @ ( c_COMBS @ tc_Com_Opname @ tc_Com_Ocom @ ( tc_fun @ ( tc_fun @ t_a @ ( tc_fun @ tc_Com_Ostate @ tc_HOL_Obool ) ) @ ( tc_Hoare__Mirabelle_Otriple @ t_a ) ) ) @ ( hAPP @ ( hAPP @ ( c_COMBB @ ( tc_fun @ t_a @ ( tc_fun @ tc_Com_Ostate @ tc_HOL_Obool ) ) @ ( tc_fun @ tc_Com_Ocom @ ( tc_fun @ ( tc_fun @ t_a @ ( tc_fun @ tc_Com_Ostate @ tc_HOL_Obool ) ) @ ( tc_Hoare__Mirabelle_Otriple @ t_a ) ) ) @ tc_Com_Opname ) @ ( c_Hoare__Mirabelle_Otriple_Otriple @ t_a ) ) @ v_P ) ) @ c_Com_Ocom_OBODY ) ) @ v_Q ) ) @ v_Procs ) ),
    inference('sup-',[status(thm)],[zip_derived_cl334,zip_derived_cl86]) ).

thf(fact_hoare__derivs_OBody,axiom,
    ! [V_Procs_2: $i,V_Q_2: $i,V_P_2: $i,V_G_2: $i,T_b: $i] :
      ( ( c_Hoare__Mirabelle_Ohoare__derivs @ T_b @ ( hAPP @ ( hAPP @ ( c_Lattices_Osemilattice__sup__class_Osup @ ( tc_fun @ ( tc_Hoare__Mirabelle_Otriple @ T_b ) @ tc_HOL_Obool ) ) @ V_G_2 ) @ ( hAPP @ ( c_Set_Oimage @ tc_Com_Opname @ ( tc_Hoare__Mirabelle_Otriple @ T_b ) @ ( hAPP @ ( hAPP @ ( c_COMBS @ tc_Com_Opname @ ( tc_fun @ T_b @ ( tc_fun @ tc_Com_Ostate @ tc_HOL_Obool ) ) @ ( tc_Hoare__Mirabelle_Otriple @ T_b ) ) @ ( hAPP @ ( hAPP @ ( c_COMBS @ tc_Com_Opname @ tc_Com_Ocom @ ( tc_fun @ ( tc_fun @ T_b @ ( tc_fun @ tc_Com_Ostate @ tc_HOL_Obool ) ) @ ( tc_Hoare__Mirabelle_Otriple @ T_b ) ) ) @ ( hAPP @ ( hAPP @ ( c_COMBB @ ( tc_fun @ T_b @ ( tc_fun @ tc_Com_Ostate @ tc_HOL_Obool ) ) @ ( tc_fun @ tc_Com_Ocom @ ( tc_fun @ ( tc_fun @ T_b @ ( tc_fun @ tc_Com_Ostate @ tc_HOL_Obool ) ) @ ( tc_Hoare__Mirabelle_Otriple @ T_b ) ) ) @ tc_Com_Opname ) @ ( c_Hoare__Mirabelle_Otriple_Otriple @ T_b ) ) @ V_P_2 ) ) @ c_Com_Ocom_OBODY ) ) @ V_Q_2 ) ) @ V_Procs_2 ) ) @ ( hAPP @ ( c_Set_Oimage @ tc_Com_Opname @ ( tc_Hoare__Mirabelle_Otriple @ T_b ) @ ( hAPP @ ( hAPP @ ( c_COMBS @ tc_Com_Opname @ ( tc_fun @ T_b @ ( tc_fun @ tc_Com_Ostate @ tc_HOL_Obool ) ) @ ( tc_Hoare__Mirabelle_Otriple @ T_b ) ) @ ( hAPP @ ( hAPP @ ( c_COMBS @ tc_Com_Opname @ tc_Com_Ocom @ ( tc_fun @ ( tc_fun @ T_b @ ( tc_fun @ tc_Com_Ostate @ tc_HOL_Obool ) ) @ ( tc_Hoare__Mirabelle_Otriple @ T_b ) ) ) @ ( hAPP @ ( hAPP @ ( c_COMBB @ ( tc_fun @ T_b @ ( tc_fun @ tc_Com_Ostate @ tc_HOL_Obool ) ) @ ( tc_fun @ tc_Com_Ocom @ ( tc_fun @ ( tc_fun @ T_b @ ( tc_fun @ tc_Com_Ostate @ tc_HOL_Obool ) ) @ ( tc_Hoare__Mirabelle_Otriple @ T_b ) ) ) @ tc_Com_Opname ) @ ( c_Hoare__Mirabelle_Otriple_Otriple @ T_b ) ) @ V_P_2 ) ) @ ( hAPP @ ( hAPP @ ( c_COMBB @ ( tc_Option_Ooption @ tc_Com_Ocom ) @ tc_Com_Ocom @ tc_Com_Opname ) @ ( c_Option_Othe @ tc_Com_Ocom ) ) @ c_Com_Obody ) ) ) @ V_Q_2 ) ) @ V_Procs_2 ) )
     => ( c_Hoare__Mirabelle_Ohoare__derivs @ T_b @ V_G_2 @ ( hAPP @ ( c_Set_Oimage @ tc_Com_Opname @ ( tc_Hoare__Mirabelle_Otriple @ T_b ) @ ( hAPP @ ( hAPP @ ( c_COMBS @ tc_Com_Opname @ ( tc_fun @ T_b @ ( tc_fun @ tc_Com_Ostate @ tc_HOL_Obool ) ) @ ( tc_Hoare__Mirabelle_Otriple @ T_b ) ) @ ( hAPP @ ( hAPP @ ( c_COMBS @ tc_Com_Opname @ tc_Com_Ocom @ ( tc_fun @ ( tc_fun @ T_b @ ( tc_fun @ tc_Com_Ostate @ tc_HOL_Obool ) ) @ ( tc_Hoare__Mirabelle_Otriple @ T_b ) ) ) @ ( hAPP @ ( hAPP @ ( c_COMBB @ ( tc_fun @ T_b @ ( tc_fun @ tc_Com_Ostate @ tc_HOL_Obool ) ) @ ( tc_fun @ tc_Com_Ocom @ ( tc_fun @ ( tc_fun @ T_b @ ( tc_fun @ tc_Com_Ostate @ tc_HOL_Obool ) ) @ ( tc_Hoare__Mirabelle_Otriple @ T_b ) ) ) @ tc_Com_Opname ) @ ( c_Hoare__Mirabelle_Otriple_Otriple @ T_b ) ) @ V_P_2 ) ) @ c_Com_Ocom_OBODY ) ) @ V_Q_2 ) ) @ V_Procs_2 ) ) ) ).

thf(zip_derived_cl8,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( ( c_Hoare__Mirabelle_Ohoare__derivs @ X0 @ X1 @ ( hAPP @ ( c_Set_Oimage @ tc_Com_Opname @ ( tc_Hoare__Mirabelle_Otriple @ X0 ) @ ( hAPP @ ( hAPP @ ( c_COMBS @ tc_Com_Opname @ ( tc_fun @ X0 @ ( tc_fun @ tc_Com_Ostate @ tc_HOL_Obool ) ) @ ( tc_Hoare__Mirabelle_Otriple @ X0 ) ) @ ( hAPP @ ( hAPP @ ( c_COMBS @ tc_Com_Opname @ tc_Com_Ocom @ ( tc_fun @ ( tc_fun @ X0 @ ( tc_fun @ tc_Com_Ostate @ tc_HOL_Obool ) ) @ ( tc_Hoare__Mirabelle_Otriple @ X0 ) ) ) @ ( hAPP @ ( hAPP @ ( c_COMBB @ ( tc_fun @ X0 @ ( tc_fun @ tc_Com_Ostate @ tc_HOL_Obool ) ) @ ( tc_fun @ tc_Com_Ocom @ ( tc_fun @ ( tc_fun @ X0 @ ( tc_fun @ tc_Com_Ostate @ tc_HOL_Obool ) ) @ ( tc_Hoare__Mirabelle_Otriple @ X0 ) ) ) @ tc_Com_Opname ) @ ( c_Hoare__Mirabelle_Otriple_Otriple @ X0 ) ) @ X2 ) ) @ c_Com_Ocom_OBODY ) ) @ X3 ) ) @ X4 ) )
      | ~ ( c_Hoare__Mirabelle_Ohoare__derivs @ X0 @ ( hAPP @ ( hAPP @ ( c_Lattices_Osemilattice__sup__class_Osup @ ( tc_fun @ ( tc_Hoare__Mirabelle_Otriple @ X0 ) @ tc_HOL_Obool ) ) @ X1 ) @ ( hAPP @ ( c_Set_Oimage @ tc_Com_Opname @ ( tc_Hoare__Mirabelle_Otriple @ X0 ) @ ( hAPP @ ( hAPP @ ( c_COMBS @ tc_Com_Opname @ ( tc_fun @ X0 @ ( tc_fun @ tc_Com_Ostate @ tc_HOL_Obool ) ) @ ( tc_Hoare__Mirabelle_Otriple @ X0 ) ) @ ( hAPP @ ( hAPP @ ( c_COMBS @ tc_Com_Opname @ tc_Com_Ocom @ ( tc_fun @ ( tc_fun @ X0 @ ( tc_fun @ tc_Com_Ostate @ tc_HOL_Obool ) ) @ ( tc_Hoare__Mirabelle_Otriple @ X0 ) ) ) @ ( hAPP @ ( hAPP @ ( c_COMBB @ ( tc_fun @ X0 @ ( tc_fun @ tc_Com_Ostate @ tc_HOL_Obool ) ) @ ( tc_fun @ tc_Com_Ocom @ ( tc_fun @ ( tc_fun @ X0 @ ( tc_fun @ tc_Com_Ostate @ tc_HOL_Obool ) ) @ ( tc_Hoare__Mirabelle_Otriple @ X0 ) ) ) @ tc_Com_Opname ) @ ( c_Hoare__Mirabelle_Otriple_Otriple @ X0 ) ) @ X2 ) ) @ c_Com_Ocom_OBODY ) ) @ X3 ) ) @ X4 ) ) @ ( hAPP @ ( c_Set_Oimage @ tc_Com_Opname @ ( tc_Hoare__Mirabelle_Otriple @ X0 ) @ ( hAPP @ ( hAPP @ ( c_COMBS @ tc_Com_Opname @ ( tc_fun @ X0 @ ( tc_fun @ tc_Com_Ostate @ tc_HOL_Obool ) ) @ ( tc_Hoare__Mirabelle_Otriple @ X0 ) ) @ ( hAPP @ ( hAPP @ ( c_COMBS @ tc_Com_Opname @ tc_Com_Ocom @ ( tc_fun @ ( tc_fun @ X0 @ ( tc_fun @ tc_Com_Ostate @ tc_HOL_Obool ) ) @ ( tc_Hoare__Mirabelle_Otriple @ X0 ) ) ) @ ( hAPP @ ( hAPP @ ( c_COMBB @ ( tc_fun @ X0 @ ( tc_fun @ tc_Com_Ostate @ tc_HOL_Obool ) ) @ ( tc_fun @ tc_Com_Ocom @ ( tc_fun @ ( tc_fun @ X0 @ ( tc_fun @ tc_Com_Ostate @ tc_HOL_Obool ) ) @ ( tc_Hoare__Mirabelle_Otriple @ X0 ) ) ) @ tc_Com_Opname ) @ ( c_Hoare__Mirabelle_Otriple_Otriple @ X0 ) ) @ X2 ) ) @ ( hAPP @ ( hAPP @ ( c_COMBB @ ( tc_Option_Ooption @ tc_Com_Ocom ) @ tc_Com_Ocom @ tc_Com_Opname ) @ ( c_Option_Othe @ tc_Com_Ocom ) ) @ c_Com_Obody ) ) ) @ X3 ) ) @ X4 ) ) ),
    inference(cnf,[status(esa)],[fact_hoare__derivs_OBody]) ).

thf(conj_0,axiom,
    c_Hoare__Mirabelle_Ohoare__derivs @ t_a @ ( hAPP @ ( hAPP @ ( c_Lattices_Osemilattice__sup__class_Osup @ ( tc_fun @ ( tc_Hoare__Mirabelle_Otriple @ t_a ) @ tc_HOL_Obool ) ) @ v_G ) @ ( hAPP @ ( c_Set_Oimage @ tc_Com_Opname @ ( tc_Hoare__Mirabelle_Otriple @ t_a ) @ ( hAPP @ ( hAPP @ ( c_COMBS @ tc_Com_Opname @ ( tc_fun @ t_a @ ( tc_fun @ tc_Com_Ostate @ tc_HOL_Obool ) ) @ ( tc_Hoare__Mirabelle_Otriple @ t_a ) ) @ ( hAPP @ ( hAPP @ ( c_COMBS @ tc_Com_Opname @ tc_Com_Ocom @ ( tc_fun @ ( tc_fun @ t_a @ ( tc_fun @ tc_Com_Ostate @ tc_HOL_Obool ) ) @ ( tc_Hoare__Mirabelle_Otriple @ t_a ) ) ) @ ( hAPP @ ( hAPP @ ( c_COMBB @ ( tc_fun @ t_a @ ( tc_fun @ tc_Com_Ostate @ tc_HOL_Obool ) ) @ ( tc_fun @ tc_Com_Ocom @ ( tc_fun @ ( tc_fun @ t_a @ ( tc_fun @ tc_Com_Ostate @ tc_HOL_Obool ) ) @ ( tc_Hoare__Mirabelle_Otriple @ t_a ) ) ) @ tc_Com_Opname ) @ ( c_Hoare__Mirabelle_Otriple_Otriple @ t_a ) ) @ v_P ) ) @ c_Com_Ocom_OBODY ) ) @ v_Q ) ) @ v_Procs ) ) @ ( hAPP @ ( c_Set_Oimage @ tc_Com_Opname @ ( tc_Hoare__Mirabelle_Otriple @ t_a ) @ ( hAPP @ ( hAPP @ ( c_COMBS @ tc_Com_Opname @ ( tc_fun @ t_a @ ( tc_fun @ tc_Com_Ostate @ tc_HOL_Obool ) ) @ ( tc_Hoare__Mirabelle_Otriple @ t_a ) ) @ ( hAPP @ ( hAPP @ ( c_COMBS @ tc_Com_Opname @ tc_Com_Ocom @ ( tc_fun @ ( tc_fun @ t_a @ ( tc_fun @ tc_Com_Ostate @ tc_HOL_Obool ) ) @ ( tc_Hoare__Mirabelle_Otriple @ t_a ) ) ) @ ( hAPP @ ( hAPP @ ( c_COMBB @ ( tc_fun @ t_a @ ( tc_fun @ tc_Com_Ostate @ tc_HOL_Obool ) ) @ ( tc_fun @ tc_Com_Ocom @ ( tc_fun @ ( tc_fun @ t_a @ ( tc_fun @ tc_Com_Ostate @ tc_HOL_Obool ) ) @ ( tc_Hoare__Mirabelle_Otriple @ t_a ) ) ) @ tc_Com_Opname ) @ ( c_Hoare__Mirabelle_Otriple_Otriple @ t_a ) ) @ v_P ) ) @ ( hAPP @ ( hAPP @ ( c_COMBB @ ( tc_Option_Ooption @ tc_Com_Ocom ) @ tc_Com_Ocom @ tc_Com_Opname ) @ ( c_Option_Othe @ tc_Com_Ocom ) ) @ c_Com_Obody ) ) ) @ v_Q ) ) @ v_Procs ) ).

thf(zip_derived_cl83,plain,
    c_Hoare__Mirabelle_Ohoare__derivs @ t_a @ ( hAPP @ ( hAPP @ ( c_Lattices_Osemilattice__sup__class_Osup @ ( tc_fun @ ( tc_Hoare__Mirabelle_Otriple @ t_a ) @ tc_HOL_Obool ) ) @ v_G ) @ ( hAPP @ ( c_Set_Oimage @ tc_Com_Opname @ ( tc_Hoare__Mirabelle_Otriple @ t_a ) @ ( hAPP @ ( hAPP @ ( c_COMBS @ tc_Com_Opname @ ( tc_fun @ t_a @ ( tc_fun @ tc_Com_Ostate @ tc_HOL_Obool ) ) @ ( tc_Hoare__Mirabelle_Otriple @ t_a ) ) @ ( hAPP @ ( hAPP @ ( c_COMBS @ tc_Com_Opname @ tc_Com_Ocom @ ( tc_fun @ ( tc_fun @ t_a @ ( tc_fun @ tc_Com_Ostate @ tc_HOL_Obool ) ) @ ( tc_Hoare__Mirabelle_Otriple @ t_a ) ) ) @ ( hAPP @ ( hAPP @ ( c_COMBB @ ( tc_fun @ t_a @ ( tc_fun @ tc_Com_Ostate @ tc_HOL_Obool ) ) @ ( tc_fun @ tc_Com_Ocom @ ( tc_fun @ ( tc_fun @ t_a @ ( tc_fun @ tc_Com_Ostate @ tc_HOL_Obool ) ) @ ( tc_Hoare__Mirabelle_Otriple @ t_a ) ) ) @ tc_Com_Opname ) @ ( c_Hoare__Mirabelle_Otriple_Otriple @ t_a ) ) @ v_P ) ) @ c_Com_Ocom_OBODY ) ) @ v_Q ) ) @ v_Procs ) ) @ ( hAPP @ ( c_Set_Oimage @ tc_Com_Opname @ ( tc_Hoare__Mirabelle_Otriple @ t_a ) @ ( hAPP @ ( hAPP @ ( c_COMBS @ tc_Com_Opname @ ( tc_fun @ t_a @ ( tc_fun @ tc_Com_Ostate @ tc_HOL_Obool ) ) @ ( tc_Hoare__Mirabelle_Otriple @ t_a ) ) @ ( hAPP @ ( hAPP @ ( c_COMBS @ tc_Com_Opname @ tc_Com_Ocom @ ( tc_fun @ ( tc_fun @ t_a @ ( tc_fun @ tc_Com_Ostate @ tc_HOL_Obool ) ) @ ( tc_Hoare__Mirabelle_Otriple @ t_a ) ) ) @ ( hAPP @ ( hAPP @ ( c_COMBB @ ( tc_fun @ t_a @ ( tc_fun @ tc_Com_Ostate @ tc_HOL_Obool ) ) @ ( tc_fun @ tc_Com_Ocom @ ( tc_fun @ ( tc_fun @ t_a @ ( tc_fun @ tc_Com_Ostate @ tc_HOL_Obool ) ) @ ( tc_Hoare__Mirabelle_Otriple @ t_a ) ) ) @ tc_Com_Opname ) @ ( c_Hoare__Mirabelle_Otriple_Otriple @ t_a ) ) @ v_P ) ) @ ( hAPP @ ( hAPP @ ( c_COMBB @ ( tc_Option_Ooption @ tc_Com_Ocom ) @ tc_Com_Ocom @ tc_Com_Opname ) @ ( c_Option_Othe @ tc_Com_Ocom ) ) @ c_Com_Obody ) ) ) @ v_Q ) ) @ v_Procs ),
    inference(cnf,[status(esa)],[conj_0]) ).

thf(zip_derived_cl444,plain,
    c_Hoare__Mirabelle_Ohoare__derivs @ t_a @ v_G @ ( hAPP @ ( c_Set_Oimage @ tc_Com_Opname @ ( tc_Hoare__Mirabelle_Otriple @ t_a ) @ ( hAPP @ ( hAPP @ ( c_COMBS @ tc_Com_Opname @ ( tc_fun @ t_a @ ( tc_fun @ tc_Com_Ostate @ tc_HOL_Obool ) ) @ ( tc_Hoare__Mirabelle_Otriple @ t_a ) ) @ ( hAPP @ ( hAPP @ ( c_COMBS @ tc_Com_Opname @ tc_Com_Ocom @ ( tc_fun @ ( tc_fun @ t_a @ ( tc_fun @ tc_Com_Ostate @ tc_HOL_Obool ) ) @ ( tc_Hoare__Mirabelle_Otriple @ t_a ) ) ) @ ( hAPP @ ( hAPP @ ( c_COMBB @ ( tc_fun @ t_a @ ( tc_fun @ tc_Com_Ostate @ tc_HOL_Obool ) ) @ ( tc_fun @ tc_Com_Ocom @ ( tc_fun @ ( tc_fun @ t_a @ ( tc_fun @ tc_Com_Ostate @ tc_HOL_Obool ) ) @ ( tc_Hoare__Mirabelle_Otriple @ t_a ) ) ) @ tc_Com_Opname ) @ ( c_Hoare__Mirabelle_Otriple_Otriple @ t_a ) ) @ v_P ) ) @ c_Com_Ocom_OBODY ) ) @ v_Q ) ) @ v_Procs ),
    inference('sup+',[status(thm)],[zip_derived_cl8,zip_derived_cl83]) ).

thf(zip_derived_cl555,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl339,zip_derived_cl444]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : SWW316+1 : TPTP v8.1.2. Released v5.2.0.
% 0.00/0.13  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.dvF4ONZ5Z8 true
% 0.12/0.33  % Computer : n008.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 21:23:32 EDT 2023
% 0.12/0.34  % CPUTime  : 
% 0.12/0.34  % Running portfolio for 300 s
% 0.12/0.34  % File         : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.34  % Number of cores: 8
% 0.12/0.34  % Python version: Python 3.6.8
% 0.12/0.34  % Running in FO mode
% 0.18/0.60  % Total configuration time : 435
% 0.18/0.60  % Estimated wc time : 1092
% 0.18/0.60  % Estimated cpu time (7 cpus) : 156.0
% 0.18/0.69  % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.18/0.70  % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.18/0.70  % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.18/0.70  % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.18/0.73  % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.18/0.73  % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.18/0.73  % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 8.04/1.82  % /export/starexec/sandbox/solver/bin/fo/fo1_lcnf.sh running for 50s
% 8.69/1.83  % Solved by fo/fo4.sh.
% 8.69/1.83  % done 62 iterations in 1.042s
% 8.69/1.83  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 8.69/1.83  % SZS output start Refutation
% See solution above
% 8.69/1.83  
% 8.69/1.83  
% 8.69/1.83  % Terminating...
% 9.92/2.08  % Runner terminated.
% 9.92/2.10  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------