TSTP Solution File: SWW318+1 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SWW318+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.UQk0CvwMKZ true

% Computer : n025.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 01:41:33 EDT 2023

% Result   : Theorem 26.49s 4.42s
% Output   : Refutation 26.49s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :   30
% Syntax   : Number of formulae    :   49 (  14 unt;  21 typ;   0 def)
%            Number of atoms       :   46 (  12 equ;   0 cnn)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :  481 (  15   ~;  12   |;   0   &; 448   @)
%                                         (   3 <=>;   3  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   16 (  11 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   17 (  17   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   23 (  21 usr;  10 con; 0-3 aty)
%            Number of variables   :   58 (   0   ^;  58   !;   0   ?;  58   :)

% Comments : 
%------------------------------------------------------------------------------
thf(v_pn_type,type,
    v_pn: $i ).

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

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

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

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

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

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

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

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

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

thf(sk__9_type,type,
    sk__9: $i > $i > $i ).

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

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

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

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

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

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

thf(conj_0,axiom,
    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 ) @ ( hAPP @ ( c_Option_Othe @ tc_Com_Ocom ) @ ( hAPP @ c_Com_Obody @ v_pn ) ) ) @ v_Q ) ) @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ ( tc_Hoare__Mirabelle_Otriple @ t_a ) @ tc_HOL_Obool ) ) ) ).

thf(zip_derived_cl175,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 ) @ ( hAPP @ ( c_Option_Othe @ tc_Com_Ocom ) @ ( hAPP @ c_Com_Obody @ v_pn ) ) ) @ v_Q ) ) @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ ( tc_Hoare__Mirabelle_Otriple @ t_a ) @ tc_HOL_Obool ) ) ),
    inference(cnf,[status(esa)],[conj_0]) ).

thf(fact_subset__insertI,axiom,
    ! [V_a_2: $i,V_B_2: $i,T_b: $i] : ( hBOOL @ ( hAPP @ ( hAPP @ ( c_Orderings_Oord__class_Oless__eq @ ( tc_fun @ T_b @ tc_HOL_Obool ) ) @ V_B_2 ) @ ( hAPP @ ( hAPP @ ( c_Set_Oinsert @ T_b ) @ V_a_2 ) @ V_B_2 ) ) ) ).

thf(zip_derived_cl71,plain,
    ! [X0: $i,X1: $i,X2: $i] : ( hBOOL @ ( hAPP @ ( hAPP @ ( c_Orderings_Oord__class_Oless__eq @ ( tc_fun @ X0 @ tc_HOL_Obool ) ) @ X1 ) @ ( hAPP @ ( hAPP @ ( c_Set_Oinsert @ X0 ) @ X2 ) @ X1 ) ) ),
    inference(cnf,[status(esa)],[fact_subset__insertI]) ).

thf(fact_thin,axiom,
    ! [V_Ga_2: $i,V_ts_2: $i,V_G_H_2: $i,T_b: $i] :
      ( ( c_Hoare__Mirabelle_Ohoare__derivs @ T_b @ V_G_H_2 @ V_ts_2 )
     => ( ( hBOOL @ ( hAPP @ ( hAPP @ ( c_Orderings_Oord__class_Oless__eq @ ( tc_fun @ ( tc_Hoare__Mirabelle_Otriple @ T_b ) @ tc_HOL_Obool ) ) @ V_G_H_2 ) @ V_Ga_2 ) )
       => ( c_Hoare__Mirabelle_Ohoare__derivs @ T_b @ V_Ga_2 @ V_ts_2 ) ) ) ).

thf(zip_derived_cl72,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ~ ( hBOOL @ ( hAPP @ ( hAPP @ ( c_Orderings_Oord__class_Oless__eq @ ( tc_fun @ ( tc_Hoare__Mirabelle_Otriple @ X0 ) @ tc_HOL_Obool ) ) @ X1 ) @ X2 ) )
      | ( c_Hoare__Mirabelle_Ohoare__derivs @ X0 @ X2 @ X3 )
      | ~ ( c_Hoare__Mirabelle_Ohoare__derivs @ X0 @ X1 @ X3 ) ),
    inference(cnf,[status(esa)],[fact_thin]) ).

thf(zip_derived_cl5631,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ~ ( c_Hoare__Mirabelle_Ohoare__derivs @ X2 @ X0 @ X3 )
      | ( c_Hoare__Mirabelle_Ohoare__derivs @ X2 @ ( hAPP @ ( hAPP @ ( c_Set_Oinsert @ ( tc_Hoare__Mirabelle_Otriple @ X2 ) ) @ X1 ) @ X0 ) @ X3 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl71,zip_derived_cl72]) ).

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_cl100,plain,
    ! [X0: $i,X1: $i] :
      ( ( X1
        = ( c_Orderings_Obot__class_Obot @ ( tc_fun @ X0 @ tc_HOL_Obool ) ) )
      | ( hBOOL @ ( hAPP @ ( hAPP @ ( c_member @ X0 ) @ ( sk__9 @ 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_cl113,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_cl1287,plain,
    ! [X0: $i,X1: $i] :
      ( ( X0
        = ( c_Orderings_Obot__class_Obot @ ( tc_fun @ X1 @ tc_HOL_Obool ) ) )
      | ( ( hAPP @ ( hAPP @ ( c_Set_Oinsert @ X1 ) @ ( sk__9 @ X1 @ X0 ) ) @ X0 )
        = X0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl100,zip_derived_cl113]) ).

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_cl27,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_cl1324,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( hBOOL @ ( hAPP @ X0 @ X1 ) )
      | ( X0
        = ( c_Orderings_Obot__class_Obot @ ( tc_fun @ X2 @ tc_HOL_Obool ) ) )
      | ( ( sk__9 @ X2 @ X0 )
       != X1 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl1287,zip_derived_cl27]) ).

thf(zip_derived_cl1368,plain,
    ! [X0: $i,X1: $i] :
      ( ( X0
        = ( c_Orderings_Obot__class_Obot @ ( tc_fun @ X1 @ tc_HOL_Obool ) ) )
      | ( hBOOL @ ( hAPP @ X0 @ ( sk__9 @ X1 @ X0 ) ) ) ),
    inference(eq_res,[status(thm)],[zip_derived_cl1324]) ).

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_cl138,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_cl96,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_cl975,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_cl138,zip_derived_cl96]) ).

thf(zip_derived_cl1386,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_cl1368,zip_derived_cl975]) ).

thf(conj_1,conjecture,
    c_Hoare__Mirabelle_Ohoare__derivs @ t_a @ ( hAPP @ ( hAPP @ ( c_Set_Oinsert @ ( tc_Hoare__Mirabelle_Otriple @ t_a ) ) @ ( hAPP @ ( hAPP @ ( hAPP @ ( c_Hoare__Mirabelle_Otriple_Otriple @ t_a ) @ v_P ) @ ( hAPP @ c_Com_Ocom_OBODY @ v_pn ) ) @ v_Q ) ) @ 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 ) @ ( hAPP @ ( c_Option_Othe @ tc_Com_Ocom ) @ ( hAPP @ c_Com_Obody @ v_pn ) ) ) @ 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 @ ( hAPP @ ( hAPP @ ( c_Set_Oinsert @ ( tc_Hoare__Mirabelle_Otriple @ t_a ) ) @ ( hAPP @ ( hAPP @ ( hAPP @ ( c_Hoare__Mirabelle_Otriple_Otriple @ t_a ) @ v_P ) @ ( hAPP @ c_Com_Ocom_OBODY @ v_pn ) ) @ v_Q ) ) @ 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 ) @ ( hAPP @ ( c_Option_Othe @ tc_Com_Ocom ) @ ( hAPP @ c_Com_Obody @ v_pn ) ) ) @ 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_cl176,plain,
    ~ ( c_Hoare__Mirabelle_Ohoare__derivs @ t_a @ ( hAPP @ ( hAPP @ ( c_Set_Oinsert @ ( tc_Hoare__Mirabelle_Otriple @ t_a ) ) @ ( hAPP @ ( hAPP @ ( hAPP @ ( c_Hoare__Mirabelle_Otriple_Otriple @ t_a ) @ v_P ) @ ( hAPP @ c_Com_Ocom_OBODY @ v_pn ) ) @ v_Q ) ) @ 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 ) @ ( hAPP @ ( c_Option_Othe @ tc_Com_Ocom ) @ ( hAPP @ c_Com_Obody @ v_pn ) ) ) @ 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_cl1439,plain,
    ! [X0: $i] :
      ~ ( c_Hoare__Mirabelle_Ohoare__derivs @ t_a @ ( hAPP @ ( hAPP @ ( c_Set_Oinsert @ ( tc_Hoare__Mirabelle_Otriple @ t_a ) ) @ ( hAPP @ ( hAPP @ ( hAPP @ ( c_Hoare__Mirabelle_Otriple_Otriple @ t_a ) @ v_P ) @ ( hAPP @ c_Com_Ocom_OBODY @ v_pn ) ) @ v_Q ) ) @ 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 ) @ ( hAPP @ ( c_Option_Othe @ tc_Com_Ocom ) @ ( hAPP @ c_Com_Obody @ v_pn ) ) ) @ v_Q ) ) @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ X0 @ tc_HOL_Obool ) ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl1386,zip_derived_cl176]) ).

thf(zip_derived_cl14269,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 ) @ ( hAPP @ ( c_Option_Othe @ tc_Com_Ocom ) @ ( hAPP @ c_Com_Obody @ v_pn ) ) ) @ v_Q ) ) @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ X0 @ tc_HOL_Obool ) ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl5631,zip_derived_cl1439]) ).

thf(zip_derived_cl14326,plain,
    $false,
    inference('sup-',[status(thm)],[zip_derived_cl175,zip_derived_cl14269]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : SWW318+1 : TPTP v8.1.2. Released v5.2.0.
% 0.11/0.14  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.UQk0CvwMKZ true
% 0.13/0.35  % Computer : n025.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 21:35:54 EDT 2023
% 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
% 0.13/0.36  % Python version: Python 3.6.8
% 0.13/0.36  % Running in FO mode
% 0.22/0.66  % Total configuration time : 435
% 0.22/0.66  % Estimated wc time : 1092
% 0.22/0.66  % Estimated cpu time (7 cpus) : 156.0
% 0.22/0.75  % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.22/0.75  % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.22/0.75  % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.22/0.76  % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.22/0.76  % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.22/0.76  % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.22/0.76  % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 26.49/4.42  % Solved by fo/fo4.sh.
% 26.49/4.42  % done 1550 iterations in 3.634s
% 26.49/4.42  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 26.49/4.42  % SZS output start Refutation
% See solution above
% 26.49/4.42  
% 26.49/4.42  
% 26.49/4.42  % Terminating...
% 26.96/4.47  % Runner terminated.
% 26.96/4.49  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------