TSTP Solution File: SWW392+1 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SWW392+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.LlxNHG9A58 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 01:41:48 EDT 2023

% Result   : Theorem 106.72s 15.98s
% Output   : Refutation 106.72s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :   27
% Syntax   : Number of formulae    :   56 (  18 unt;  18 typ;   0 def)
%            Number of atoms       :   64 (  14 equ;   0 cnn)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :  672 (  20   ~;  18   |;   0   &; 626   @)
%                                         (   3 <=>;   5  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   21 (  12 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   19 (  19   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   20 (  18 usr;   7 con; 0-3 aty)
%            Number of variables   :   93 (   0   ^;  93   !;   0   ?;  93   :)

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

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

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(v_P_type,type,
    v_P: $i ).

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

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

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

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

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

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

thf(c_Com_Ocom_OSKIP_type,type,
    c_Com_Ocom_OSKIP: $i ).

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

thf(sk__8_type,type,
    sk__8: $i > $i > $i ).

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

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

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

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

thf(conj_0,axiom,
    ! [B_Z: $i,B_s: $i] :
      ( ( hBOOL @ ( hAPP @ ( hAPP @ v_P @ B_Z ) @ B_s ) )
     => ( hBOOL @ ( hAPP @ ( hAPP @ v_Q @ B_Z ) @ B_s ) ) ) ).

thf(zip_derived_cl156,plain,
    ! [X0: $i,X1: $i] :
      ( ( hBOOL @ ( hAPP @ ( hAPP @ v_Q @ X0 ) @ X1 ) )
      | ~ ( hBOOL @ ( hAPP @ ( hAPP @ v_P @ X0 ) @ X1 ) ) ),
    inference(cnf,[status(esa)],[conj_0]) ).

thf(fact_hoare__derivs_OSkip,axiom,
    ! [V_Pa_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 ) ) @ ( hAPP @ ( hAPP @ ( hAPP @ ( c_Hoare__Mirabelle_Otriple_Otriple @ T_b ) @ V_Pa_2 ) @ c_Com_Ocom_OSKIP ) @ V_Pa_2 ) ) @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ ( tc_Hoare__Mirabelle_Otriple @ T_b ) @ tc_HOL_Obool ) ) ) ) ).

thf(zip_derived_cl2,plain,
    ! [X0: $i,X1: $i,X2: $i] : ( c_Hoare__Mirabelle_Ohoare__derivs @ X0 @ X1 @ ( hAPP @ ( hAPP @ ( c_Set_Oinsert @ ( tc_Hoare__Mirabelle_Otriple @ X0 ) ) @ ( hAPP @ ( hAPP @ ( hAPP @ ( c_Hoare__Mirabelle_Otriple_Otriple @ X0 ) @ X2 ) @ c_Com_Ocom_OSKIP ) @ X2 ) ) @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ ( tc_Hoare__Mirabelle_Otriple @ X0 ) @ tc_HOL_Obool ) ) ) ),
    inference(cnf,[status(esa)],[fact_hoare__derivs_OSkip]) ).

thf(fact_conseq2,axiom,
    ! [V_Qa_2: $i,V_Q_H_2: $i,V_c_2: $i,V_Pa_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 ) ) @ ( hAPP @ ( hAPP @ ( hAPP @ ( c_Hoare__Mirabelle_Otriple_Otriple @ T_b ) @ V_Pa_2 ) @ V_c_2 ) @ V_Q_H_2 ) ) @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ ( tc_Hoare__Mirabelle_Otriple @ T_b ) @ tc_HOL_Obool ) ) ) )
     => ( ! [B_Z: $i,B_s: $i] :
            ( ( hBOOL @ ( hAPP @ ( hAPP @ V_Q_H_2 @ B_Z ) @ B_s ) )
           => ( hBOOL @ ( hAPP @ ( hAPP @ V_Qa_2 @ B_Z ) @ B_s ) ) )
       => ( c_Hoare__Mirabelle_Ohoare__derivs @ T_b @ V_Ga_2 @ ( hAPP @ ( hAPP @ ( c_Set_Oinsert @ ( tc_Hoare__Mirabelle_Otriple @ T_b ) ) @ ( hAPP @ ( hAPP @ ( hAPP @ ( c_Hoare__Mirabelle_Otriple_Otriple @ T_b ) @ V_Pa_2 ) @ V_c_2 ) @ V_Qa_2 ) ) @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ ( tc_Hoare__Mirabelle_Otriple @ T_b ) @ tc_HOL_Obool ) ) ) ) ) ) ).

thf(zip_derived_cl22,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
      ( ~ ( hBOOL @ ( hAPP @ ( hAPP @ X0 @ ( sk__1 @ X1 @ X0 ) ) @ ( sk__2 @ X1 @ X0 ) ) )
      | ~ ( c_Hoare__Mirabelle_Ohoare__derivs @ X2 @ X3 @ ( hAPP @ ( hAPP @ ( c_Set_Oinsert @ ( tc_Hoare__Mirabelle_Otriple @ X2 ) ) @ ( hAPP @ ( hAPP @ ( hAPP @ ( c_Hoare__Mirabelle_Otriple_Otriple @ X2 ) @ X4 ) @ X5 ) @ X1 ) ) @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ ( tc_Hoare__Mirabelle_Otriple @ X2 ) @ tc_HOL_Obool ) ) ) )
      | ( c_Hoare__Mirabelle_Ohoare__derivs @ X2 @ X3 @ ( hAPP @ ( hAPP @ ( c_Set_Oinsert @ ( tc_Hoare__Mirabelle_Otriple @ X2 ) ) @ ( hAPP @ ( hAPP @ ( hAPP @ ( c_Hoare__Mirabelle_Otriple_Otriple @ X2 ) @ X4 ) @ X5 ) @ X0 ) ) @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ ( tc_Hoare__Mirabelle_Otriple @ X2 ) @ tc_HOL_Obool ) ) ) ) ),
    inference(cnf,[status(esa)],[fact_conseq2]) ).

thf(zip_derived_cl827,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ( c_Hoare__Mirabelle_Ohoare__derivs @ X0 @ X2 @ ( hAPP @ ( hAPP @ ( c_Set_Oinsert @ ( tc_Hoare__Mirabelle_Otriple @ X0 ) ) @ ( hAPP @ ( hAPP @ ( hAPP @ ( c_Hoare__Mirabelle_Otriple_Otriple @ X0 ) @ X1 ) @ c_Com_Ocom_OSKIP ) @ X3 ) ) @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ ( tc_Hoare__Mirabelle_Otriple @ X0 ) @ tc_HOL_Obool ) ) ) )
      | ~ ( hBOOL @ ( hAPP @ ( hAPP @ X3 @ ( sk__1 @ X1 @ X3 ) ) @ ( sk__2 @ X1 @ X3 ) ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl2,zip_derived_cl22]) ).

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_cl69,plain,
    ! [X0: $i,X1: $i] :
      ( ( X1
        = ( c_Orderings_Obot__class_Obot @ ( tc_fun @ X0 @ tc_HOL_Obool ) ) )
      | ( hBOOL @ ( hAPP @ ( hAPP @ ( c_member @ X0 ) @ ( sk__8 @ 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_cl84,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_cl362,plain,
    ! [X0: $i,X1: $i] :
      ( ( X0
        = ( c_Orderings_Obot__class_Obot @ ( tc_fun @ X1 @ tc_HOL_Obool ) ) )
      | ( ( hAPP @ ( hAPP @ ( c_Set_Oinsert @ X1 ) @ ( sk__8 @ X1 @ X0 ) ) @ X0 )
        = X0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl69,zip_derived_cl84]) ).

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_cl28,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_cl382,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( hBOOL @ ( hAPP @ X0 @ X1 ) )
      | ( X0
        = ( c_Orderings_Obot__class_Obot @ ( tc_fun @ X2 @ tc_HOL_Obool ) ) )
      | ( ( sk__8 @ X2 @ X0 )
       != X1 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl362,zip_derived_cl28]) ).

thf(zip_derived_cl429,plain,
    ! [X0: $i,X1: $i] :
      ( ( X0
        = ( c_Orderings_Obot__class_Obot @ ( tc_fun @ X1 @ tc_HOL_Obool ) ) )
      | ( hBOOL @ ( hAPP @ X0 @ ( sk__8 @ X1 @ X0 ) ) ) ),
    inference(eq_res,[status(thm)],[zip_derived_cl382]) ).

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_cl150,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_cl42,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_cl280,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_cl150,zip_derived_cl42]) ).

thf(zip_derived_cl447,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_cl429,zip_derived_cl280]) ).

thf(zip_derived_cl831,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ( c_Hoare__Mirabelle_Ohoare__derivs @ X0 @ X2 @ ( hAPP @ ( hAPP @ ( c_Set_Oinsert @ ( tc_Hoare__Mirabelle_Otriple @ X0 ) ) @ ( hAPP @ ( hAPP @ ( hAPP @ ( c_Hoare__Mirabelle_Otriple_Otriple @ X0 ) @ X1 ) @ c_Com_Ocom_OSKIP ) @ X3 ) ) @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ X0 @ tc_HOL_Obool ) ) ) )
      | ~ ( hBOOL @ ( hAPP @ ( hAPP @ X3 @ ( sk__1 @ X1 @ X3 ) ) @ ( sk__2 @ X1 @ X3 ) ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl827,zip_derived_cl447]) ).

thf(zip_derived_cl447_001,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_cl429,zip_derived_cl280]) ).

thf(conj_1,conjecture,
    c_Hoare__Mirabelle_Ohoare__derivs @ t_a @ v_G @ ( hAPP @ ( hAPP @ ( c_Set_Oinsert @ ( tc_Hoare__Mirabelle_Otriple @ t_a ) ) @ ( hAPP @ ( hAPP @ ( hAPP @ ( c_Hoare__Mirabelle_Otriple_Otriple @ t_a ) @ v_P ) @ c_Com_Ocom_OSKIP ) @ v_Q ) ) @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ ( tc_Hoare__Mirabelle_Otriple @ t_a ) @ tc_HOL_Obool ) ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ( c_Hoare__Mirabelle_Ohoare__derivs @ t_a @ v_G @ ( hAPP @ ( hAPP @ ( c_Set_Oinsert @ ( tc_Hoare__Mirabelle_Otriple @ t_a ) ) @ ( hAPP @ ( hAPP @ ( hAPP @ ( c_Hoare__Mirabelle_Otriple_Otriple @ t_a ) @ v_P ) @ c_Com_Ocom_OSKIP ) @ v_Q ) ) @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ ( tc_Hoare__Mirabelle_Otriple @ t_a ) @ tc_HOL_Obool ) ) ) ),
    inference('cnf.neg',[status(esa)],[conj_1]) ).

thf(zip_derived_cl157,plain,
    ~ ( c_Hoare__Mirabelle_Ohoare__derivs @ t_a @ v_G @ ( hAPP @ ( hAPP @ ( c_Set_Oinsert @ ( tc_Hoare__Mirabelle_Otriple @ t_a ) ) @ ( hAPP @ ( hAPP @ ( hAPP @ ( c_Hoare__Mirabelle_Otriple_Otriple @ t_a ) @ v_P ) @ c_Com_Ocom_OSKIP ) @ v_Q ) ) @ ( 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_cl562,plain,
    ! [X0: $i] :
      ~ ( c_Hoare__Mirabelle_Ohoare__derivs @ t_a @ v_G @ ( hAPP @ ( hAPP @ ( c_Set_Oinsert @ ( tc_Hoare__Mirabelle_Otriple @ t_a ) ) @ ( hAPP @ ( hAPP @ ( hAPP @ ( c_Hoare__Mirabelle_Otriple_Otriple @ t_a ) @ v_P ) @ c_Com_Ocom_OSKIP ) @ v_Q ) ) @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ X0 @ tc_HOL_Obool ) ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl447,zip_derived_cl157]) ).

thf(zip_derived_cl47267,plain,
    ~ ( hBOOL @ ( hAPP @ ( hAPP @ v_Q @ ( sk__1 @ v_P @ v_Q ) ) @ ( sk__2 @ v_P @ v_Q ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl831,zip_derived_cl562]) ).

thf(zip_derived_cl47354,plain,
    ~ ( hBOOL @ ( hAPP @ ( hAPP @ v_P @ ( sk__1 @ v_P @ v_Q ) ) @ ( sk__2 @ v_P @ v_Q ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl156,zip_derived_cl47267]) ).

thf(zip_derived_cl2_002,plain,
    ! [X0: $i,X1: $i,X2: $i] : ( c_Hoare__Mirabelle_Ohoare__derivs @ X0 @ X1 @ ( hAPP @ ( hAPP @ ( c_Set_Oinsert @ ( tc_Hoare__Mirabelle_Otriple @ X0 ) ) @ ( hAPP @ ( hAPP @ ( hAPP @ ( c_Hoare__Mirabelle_Otriple_Otriple @ X0 ) @ X2 ) @ c_Com_Ocom_OSKIP ) @ X2 ) ) @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ ( tc_Hoare__Mirabelle_Otriple @ X0 ) @ tc_HOL_Obool ) ) ) ),
    inference(cnf,[status(esa)],[fact_hoare__derivs_OSkip]) ).

thf(zip_derived_cl23,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
      ( ( hBOOL @ ( hAPP @ ( hAPP @ X0 @ ( sk__1 @ X0 @ X1 ) ) @ ( sk__2 @ X0 @ X1 ) ) )
      | ~ ( c_Hoare__Mirabelle_Ohoare__derivs @ X2 @ X3 @ ( hAPP @ ( hAPP @ ( c_Set_Oinsert @ ( tc_Hoare__Mirabelle_Otriple @ X2 ) ) @ ( hAPP @ ( hAPP @ ( hAPP @ ( c_Hoare__Mirabelle_Otriple_Otriple @ X2 ) @ X4 ) @ X5 ) @ X0 ) ) @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ ( tc_Hoare__Mirabelle_Otriple @ X2 ) @ tc_HOL_Obool ) ) ) )
      | ( c_Hoare__Mirabelle_Ohoare__derivs @ X2 @ X3 @ ( hAPP @ ( hAPP @ ( c_Set_Oinsert @ ( tc_Hoare__Mirabelle_Otriple @ X2 ) ) @ ( hAPP @ ( hAPP @ ( hAPP @ ( c_Hoare__Mirabelle_Otriple_Otriple @ X2 ) @ X4 ) @ X5 ) @ X1 ) ) @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ ( tc_Hoare__Mirabelle_Otriple @ X2 ) @ tc_HOL_Obool ) ) ) ) ),
    inference(cnf,[status(esa)],[fact_conseq2]) ).

thf(zip_derived_cl883,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ( c_Hoare__Mirabelle_Ohoare__derivs @ X0 @ X2 @ ( hAPP @ ( hAPP @ ( c_Set_Oinsert @ ( tc_Hoare__Mirabelle_Otriple @ X0 ) ) @ ( hAPP @ ( hAPP @ ( hAPP @ ( c_Hoare__Mirabelle_Otriple_Otriple @ X0 ) @ X1 ) @ c_Com_Ocom_OSKIP ) @ X3 ) ) @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ ( tc_Hoare__Mirabelle_Otriple @ X0 ) @ tc_HOL_Obool ) ) ) )
      | ( hBOOL @ ( hAPP @ ( hAPP @ X1 @ ( sk__1 @ X1 @ X3 ) ) @ ( sk__2 @ X1 @ X3 ) ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl2,zip_derived_cl23]) ).

thf(zip_derived_cl447_003,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_cl429,zip_derived_cl280]) ).

thf(zip_derived_cl887,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ( c_Hoare__Mirabelle_Ohoare__derivs @ X0 @ X2 @ ( hAPP @ ( hAPP @ ( c_Set_Oinsert @ ( tc_Hoare__Mirabelle_Otriple @ X0 ) ) @ ( hAPP @ ( hAPP @ ( hAPP @ ( c_Hoare__Mirabelle_Otriple_Otriple @ X0 ) @ X1 ) @ c_Com_Ocom_OSKIP ) @ X3 ) ) @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ X0 @ tc_HOL_Obool ) ) ) )
      | ( hBOOL @ ( hAPP @ ( hAPP @ X1 @ ( sk__1 @ X1 @ X3 ) ) @ ( sk__2 @ X1 @ X3 ) ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl883,zip_derived_cl447]) ).

thf(zip_derived_cl562_004,plain,
    ! [X0: $i] :
      ~ ( c_Hoare__Mirabelle_Ohoare__derivs @ t_a @ v_G @ ( hAPP @ ( hAPP @ ( c_Set_Oinsert @ ( tc_Hoare__Mirabelle_Otriple @ t_a ) ) @ ( hAPP @ ( hAPP @ ( hAPP @ ( c_Hoare__Mirabelle_Otriple_Otriple @ t_a ) @ v_P ) @ c_Com_Ocom_OSKIP ) @ v_Q ) ) @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ X0 @ tc_HOL_Obool ) ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl447,zip_derived_cl157]) ).

thf(zip_derived_cl49718,plain,
    hBOOL @ ( hAPP @ ( hAPP @ v_P @ ( sk__1 @ v_P @ v_Q ) ) @ ( sk__2 @ v_P @ v_Q ) ),
    inference('sup-',[status(thm)],[zip_derived_cl887,zip_derived_cl562]) ).

thf(zip_derived_cl49890,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl47354,zip_derived_cl49718]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem  : SWW392+1 : TPTP v8.1.2. Released v5.2.0.
% 0.00/0.14  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.LlxNHG9A58 true
% 0.17/0.35  % Computer : n008.cluster.edu
% 0.17/0.35  % Model    : x86_64 x86_64
% 0.17/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.35  % Memory   : 8042.1875MB
% 0.17/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.17/0.35  % CPULimit : 300
% 0.17/0.35  % WCLimit  : 300
% 0.17/0.35  % DateTime : Sun Aug 27 19:15:02 EDT 2023
% 0.17/0.35  % CPUTime  : 
% 0.17/0.35  % Running portfolio for 300 s
% 0.17/0.35  % File         : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.17/0.35  % Number of cores: 8
% 0.17/0.36  % Python version: Python 3.6.8
% 0.17/0.36  % Running in FO mode
% 0.21/0.64  % Total configuration time : 435
% 0.21/0.64  % Estimated wc time : 1092
% 0.21/0.64  % Estimated cpu time (7 cpus) : 156.0
% 0.21/0.69  % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.21/0.71  % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.21/0.72  % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.21/0.75  % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.21/0.75  % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.21/0.75  % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.21/0.76  % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 106.72/15.98  % Solved by fo/fo4.sh.
% 106.72/15.98  % done 6837 iterations in 15.138s
% 106.72/15.98  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 106.72/15.98  % SZS output start Refutation
% See solution above
% 106.72/15.98  
% 106.72/15.98  
% 106.72/15.98  % Terminating...
% 107.39/16.08  % Runner terminated.
% 107.39/16.09  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------