TSTP Solution File: SWW394+1 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SWW394+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.Gc95NIui3P 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 01:41:49 EDT 2023

% Result   : Theorem 7.30s 1.71s
% Output   : Refutation 7.92s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :   17
% Syntax   : Number of formulae    :   26 (  11 unt;  13 typ;   0 def)
%            Number of atoms       :   15 (   3 equ;   0 cnn)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :  166 (   4   ~;   1   |;   0   &; 160   @)
%                                         (   0 <=>;   1  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   15 (   8 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   14 (  14   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   15 (  13 usr;   4 con; 0-3 aty)
%            Number of variables   :   15 (   0   ^;  15   !;   0   ?;  15   :)

% Comments : 
%------------------------------------------------------------------------------
thf(c_List_Oset_type,type,
    c_List_Oset: $i > $i ).

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

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

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

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

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

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

thf(v_t_type,type,
    v_t: $i ).

thf(c_List_Olist_ONil_type,type,
    c_List_Olist_ONil: $i > $i ).

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

thf(conj_0,conjecture,
    c_Hoare__Mirabelle_Ohoare__derivs @ t_a @ ( hAPP @ ( hAPP @ ( c_Set_Oinsert @ ( tc_Hoare__Mirabelle_Otriple @ t_a ) ) @ v_t ) @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ ( tc_Hoare__Mirabelle_Otriple @ t_a ) @ tc_HOL_Obool ) ) ) @ ( hAPP @ ( hAPP @ ( c_Set_Oinsert @ ( tc_Hoare__Mirabelle_Otriple @ t_a ) ) @ v_t ) @ ( 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 ) ) @ v_t ) @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ ( tc_Hoare__Mirabelle_Otriple @ t_a ) @ tc_HOL_Obool ) ) ) @ ( hAPP @ ( hAPP @ ( c_Set_Oinsert @ ( tc_Hoare__Mirabelle_Otriple @ t_a ) ) @ v_t ) @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ ( tc_Hoare__Mirabelle_Otriple @ t_a ) @ tc_HOL_Obool ) ) ) ),
    inference('cnf.neg',[status(esa)],[conj_0]) ).

thf(zip_derived_cl1272,plain,
    ~ ( c_Hoare__Mirabelle_Ohoare__derivs @ t_a @ ( hAPP @ ( hAPP @ ( c_Set_Oinsert @ ( tc_Hoare__Mirabelle_Otriple @ t_a ) ) @ v_t ) @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ ( tc_Hoare__Mirabelle_Otriple @ t_a ) @ tc_HOL_Obool ) ) ) @ ( hAPP @ ( hAPP @ ( c_Set_Oinsert @ ( tc_Hoare__Mirabelle_Otriple @ t_a ) ) @ v_t ) @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ ( tc_Hoare__Mirabelle_Otriple @ t_a ) @ tc_HOL_Obool ) ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(fact_List_Oset_Osimps_I1_J,axiom,
    ! [T_b: $i] :
      ( ( hAPP @ ( c_List_Oset @ T_b ) @ ( c_List_Olist_ONil @ T_b ) )
      = ( c_Orderings_Obot__class_Obot @ ( tc_fun @ T_b @ tc_HOL_Obool ) ) ) ).

thf(zip_derived_cl1175,plain,
    ! [X0: $i] :
      ( ( hAPP @ ( c_List_Oset @ X0 ) @ ( c_List_Olist_ONil @ X0 ) )
      = ( c_Orderings_Obot__class_Obot @ ( tc_fun @ X0 @ tc_HOL_Obool ) ) ),
    inference(cnf,[status(esa)],[fact_List_Oset_Osimps_I1_J]) ).

thf(zip_derived_cl1175_001,plain,
    ! [X0: $i] :
      ( ( hAPP @ ( c_List_Oset @ X0 ) @ ( c_List_Olist_ONil @ X0 ) )
      = ( c_Orderings_Obot__class_Obot @ ( tc_fun @ X0 @ tc_HOL_Obool ) ) ),
    inference(cnf,[status(esa)],[fact_List_Oset_Osimps_I1_J]) ).

thf(zip_derived_cl1916,plain,
    ~ ( c_Hoare__Mirabelle_Ohoare__derivs @ t_a @ ( hAPP @ ( hAPP @ ( c_Set_Oinsert @ ( tc_Hoare__Mirabelle_Otriple @ t_a ) ) @ v_t ) @ ( hAPP @ ( c_List_Oset @ ( tc_Hoare__Mirabelle_Otriple @ t_a ) ) @ ( c_List_Olist_ONil @ ( tc_Hoare__Mirabelle_Otriple @ t_a ) ) ) ) @ ( hAPP @ ( hAPP @ ( c_Set_Oinsert @ ( tc_Hoare__Mirabelle_Otriple @ t_a ) ) @ v_t ) @ ( hAPP @ ( c_List_Oset @ ( tc_Hoare__Mirabelle_Otriple @ t_a ) ) @ ( c_List_Olist_ONil @ ( tc_Hoare__Mirabelle_Otriple @ t_a ) ) ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl1272,zip_derived_cl1175,zip_derived_cl1175]) ).

thf(fact_subset__refl,axiom,
    ! [V_A_2: $i,T_b: $i] : ( hBOOL @ ( hAPP @ ( hAPP @ ( c_Orderings_Oord__class_Oless__eq @ ( tc_fun @ T_b @ tc_HOL_Obool ) ) @ V_A_2 ) @ V_A_2 ) ) ).

thf(zip_derived_cl47,plain,
    ! [X0: $i,X1: $i] : ( hBOOL @ ( hAPP @ ( hAPP @ ( c_Orderings_Oord__class_Oless__eq @ ( tc_fun @ X0 @ tc_HOL_Obool ) ) @ X1 ) @ X1 ) ),
    inference(cnf,[status(esa)],[fact_subset__refl]) ).

thf(fact_asm,axiom,
    ! [V_G_2: $i,V_ts_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_ts_2 ) @ V_G_2 ) )
     => ( c_Hoare__Mirabelle_Ohoare__derivs @ T_b @ V_G_2 @ V_ts_2 ) ) ).

thf(zip_derived_cl161,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(zip_derived_cl2640,plain,
    ! [X0: $i,X1: $i] : ( c_Hoare__Mirabelle_Ohoare__derivs @ X1 @ X0 @ X0 ),
    inference('sup-',[status(thm)],[zip_derived_cl47,zip_derived_cl161]) ).

thf(zip_derived_cl2646,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl1916,zip_derived_cl2640]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : SWW394+1 : TPTP v8.1.2. Released v5.2.0.
% 0.13/0.13  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.Gc95NIui3P 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 18:07:38 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
% 0.13/0.35  % Python version: Python 3.6.8
% 0.13/0.35  % 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
% 0.22/0.71  % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 1.06/0.74  % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 1.31/0.75  % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 1.31/0.75  % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 1.31/0.76  % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 1.31/0.76  % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 1.31/0.76  % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 7.30/1.71  % Solved by fo/fo7.sh.
% 7.30/1.71  % done 533 iterations in 0.933s
% 7.30/1.71  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 7.30/1.71  % SZS output start Refutation
% See solution above
% 7.92/1.71  
% 7.92/1.71  
% 7.92/1.71  % Terminating...
% 7.92/1.78  % Runner terminated.
% 7.92/1.79  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------