TSTP Solution File: SWW365+1 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SWW365+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.h4piih46Lh true

% Computer : n021.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 01:41:42 EDT 2023

% Result   : Theorem 19.44s 3.42s
% Output   : Refutation 19.44s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :   16
% Syntax   : Number of formulae    :   23 (   8 unt;  12 typ;   0 def)
%            Number of atoms       :   16 (   0 equ;   0 cnn)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :  176 (   6   ~;   3   |;   1   &; 165   @)
%                                         (   1 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   16 (  10 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    9 (   9   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   13 (  12 usr;   6 con; 0-2 aty)
%            Number of variables   :   12 (   0   ^;  12   !;   0   ?;  12   :)

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

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

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

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

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

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

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

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

thf(v_pn_type,type,
    v_pn: $i ).

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

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

thf(v_mgt__call_type,type,
    v_mgt__call: $i ).

thf(fact_insert__subset,axiom,
    ! [V_B_2: $i,V_A_2: $i,V_x_2: $i,T_b: $i] :
      ( ( hBOOL @ ( hAPP @ ( hAPP @ ( c_Orderings_Oord__class_Oless__eq @ ( tc_fun @ T_b @ tc_HOL_Obool ) ) @ ( hAPP @ ( hAPP @ ( c_Set_Oinsert @ T_b ) @ V_x_2 ) @ V_A_2 ) ) @ V_B_2 ) )
    <=> ( ( hBOOL @ ( hAPP @ ( hAPP @ ( c_member @ T_b ) @ V_x_2 ) @ V_B_2 ) )
        & ( hBOOL @ ( hAPP @ ( hAPP @ ( c_Orderings_Oord__class_Oless__eq @ ( tc_fun @ T_b @ tc_HOL_Obool ) ) @ V_A_2 ) @ V_B_2 ) ) ) ) ).

thf(zip_derived_cl105,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ( hBOOL @ ( hAPP @ ( hAPP @ ( c_Orderings_Oord__class_Oless__eq @ ( tc_fun @ X0 @ tc_HOL_Obool ) ) @ ( hAPP @ ( hAPP @ ( c_Set_Oinsert @ X0 ) @ X1 ) @ X2 ) ) @ X3 ) )
      | ~ ( hBOOL @ ( hAPP @ ( hAPP @ ( c_Orderings_Oord__class_Oless__eq @ ( tc_fun @ X0 @ tc_HOL_Obool ) ) @ X2 ) @ X3 ) )
      | ~ ( hBOOL @ ( hAPP @ ( hAPP @ ( c_member @ X0 ) @ X1 ) @ X3 ) ) ),
    inference(cnf,[status(esa)],[fact_insert__subset]) ).

thf(conj_7,conjecture,
    hBOOL @ ( hAPP @ ( hAPP @ ( c_Orderings_Oord__class_Oless__eq @ ( tc_fun @ t_a @ tc_HOL_Obool ) ) @ ( hAPP @ ( hAPP @ ( c_Set_Oinsert @ t_a ) @ ( hAPP @ v_mgt__call @ v_pn ) ) @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ t_a @ tc_HOL_Obool ) ) ) ) @ v_G ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ( hBOOL @ ( hAPP @ ( hAPP @ ( c_Orderings_Oord__class_Oless__eq @ ( tc_fun @ t_a @ tc_HOL_Obool ) ) @ ( hAPP @ ( hAPP @ ( c_Set_Oinsert @ t_a ) @ ( hAPP @ v_mgt__call @ v_pn ) ) @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ t_a @ tc_HOL_Obool ) ) ) ) @ v_G ) ),
    inference('cnf.neg',[status(esa)],[conj_7]) ).

thf(zip_derived_cl7588,plain,
    ~ ( hBOOL @ ( hAPP @ ( hAPP @ ( c_Orderings_Oord__class_Oless__eq @ ( tc_fun @ t_a @ tc_HOL_Obool ) ) @ ( hAPP @ ( hAPP @ ( c_Set_Oinsert @ t_a ) @ ( hAPP @ v_mgt__call @ v_pn ) ) @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ t_a @ tc_HOL_Obool ) ) ) ) @ v_G ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl20805,plain,
    ( ~ ( hBOOL @ ( hAPP @ ( hAPP @ ( c_member @ t_a ) @ ( hAPP @ v_mgt__call @ v_pn ) ) @ v_G ) )
    | ~ ( hBOOL @ ( hAPP @ ( hAPP @ ( c_Orderings_Oord__class_Oless__eq @ ( tc_fun @ t_a @ tc_HOL_Obool ) ) @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ t_a @ tc_HOL_Obool ) ) ) @ v_G ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl105,zip_derived_cl7588]) ).

thf(conj_6,axiom,
    hBOOL @ ( hAPP @ ( hAPP @ ( c_member @ t_a ) @ ( hAPP @ v_mgt__call @ v_pn ) ) @ v_G ) ).

thf(zip_derived_cl7587,plain,
    hBOOL @ ( hAPP @ ( hAPP @ ( c_member @ t_a ) @ ( hAPP @ v_mgt__call @ v_pn ) ) @ v_G ),
    inference(cnf,[status(esa)],[conj_6]) ).

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

thf(zip_derived_cl8,plain,
    ! [X0: $i,X1: $i] : ( hBOOL @ ( hAPP @ ( hAPP @ ( c_Orderings_Oord__class_Oless__eq @ ( tc_fun @ X0 @ tc_HOL_Obool ) ) @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ X0 @ tc_HOL_Obool ) ) ) @ X1 ) ),
    inference(cnf,[status(esa)],[fact_empty__subsetI]) ).

thf(zip_derived_cl20813,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl20805,zip_derived_cl7587,zip_derived_cl8]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem  : SWW365+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.h4piih46Lh true
% 0.14/0.35  % Computer : n021.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit : 300
% 0.14/0.35  % WCLimit  : 300
% 0.14/0.35  % DateTime : Sun Aug 27 20:15:43 EDT 2023
% 0.14/0.35  % CPUTime  : 
% 0.14/0.35  % Running portfolio for 300 s
% 0.14/0.35  % File         : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/0.35  % Number of cores: 8
% 0.14/0.36  % Python version: Python 3.6.8
% 0.14/0.36  % Running in FO mode
% 0.21/0.66  % Total configuration time : 435
% 0.21/0.66  % Estimated wc time : 1092
% 0.21/0.66  % Estimated cpu time (7 cpus) : 156.0
% 0.21/0.71  % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.21/0.74  % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.21/0.76  % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.21/0.77  % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 1.15/0.77  % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 1.15/0.78  % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 1.15/0.78  % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 19.44/3.42  % Solved by fo/fo6_bce.sh.
% 19.44/3.42  % BCE start: 7589
% 19.44/3.42  % BCE eliminated: 337
% 19.44/3.42  % PE start: 7252
% 19.44/3.42  logic: eq
% 19.44/3.42  % PE eliminated: 223
% 19.44/3.42  % done 440 iterations in 2.672s
% 19.44/3.42  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 19.44/3.42  % SZS output start Refutation
% See solution above
% 19.44/3.42  
% 19.44/3.42  
% 19.44/3.42  % Terminating...
% 19.44/3.48  % Runner terminated.
% 19.44/3.49  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------