TSTP Solution File: ITP176^1 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : ITP176^1 : TPTP v8.1.2. Released v7.5.0.
% Transfm  : NO INFORMATION
% Format   : NO INFORMATION
% Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.u2M9aF0TJ1 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 : Thu Aug 31 05:22:40 EDT 2023

% Result   : Theorem 0.60s 0.91s
% Output   : Refutation 0.60s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :   17
% Syntax   : Number of formulae    :   22 (   7 unt;  15 typ;   0 def)
%            Number of atoms       :   15 (   6 equ;   0 cnn)
%            Maximal formula atoms :    1 (   2 avg)
%            Number of connectives :   99 (   3   ~;   0   |;   0   &;  96   @)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    2 (   1 avg)
%            Number of types       :    6 (   5 usr)
%            Number of type conns  :   10 (  10   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   12 (  10 usr;   6 con; 0-2 aty)
%            Number of variables   :    8 (   8   ^;   0   !;   0   ?;   8   :)

% Comments : 
%------------------------------------------------------------------------------
thf(b_type,type,
    b: $tType ).

thf(set_b_type,type,
    set_b: $tType ).

thf(set_Product_prod_b_b_type,type,
    set_Product_prod_b_b: $tType ).

thf(standard_Constant_a_type,type,
    standard_Constant_a: $tType ).

thf(labele1159362096nt_a_b_type,type,
    labele1159362096nt_a_b: $tType ).

thf(y_type,type,
    y: b ).

thf(member_b_type,type,
    member_b: b > set_b > $o ).

thf(standard_S_Idt_a_type,type,
    standard_S_Idt_a: standard_Constant_a ).

thf(insert_b_type,type,
    insert_b: b > set_b > set_b ).

thf(bot_bot_set_b_type,type,
    bot_bot_set_b: set_b ).

thf(image_b_b_type,type,
    image_b_b: set_Product_prod_b_b > set_b > set_b ).

thf(x_type,type,
    x: b ).

thf(getRel904497637nt_a_b_type,type,
    getRel904497637nt_a_b: standard_Constant_a > labele1159362096nt_a_b > set_Product_prod_b_b ).

thf(g_type,type,
    g: labele1159362096nt_a_b ).

thf(hilbert_Eps_b_type,type,
    hilbert_Eps_b: ( b > $o ) > b ).

thf(conj_0,conjecture,
    ( ( hilbert_Eps_b
      @ ^ [Y: b] : ( member_b @ Y @ ( image_b_b @ ( getRel904497637nt_a_b @ standard_S_Idt_a @ g ) @ ( insert_b @ x @ bot_bot_set_b ) ) ) )
    = ( hilbert_Eps_b
      @ ^ [Y: b] : ( member_b @ Y @ ( image_b_b @ ( getRel904497637nt_a_b @ standard_S_Idt_a @ g ) @ ( insert_b @ y @ bot_bot_set_b ) ) ) ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ( ( hilbert_Eps_b
      @ ^ [Y: b] : ( member_b @ Y @ ( image_b_b @ ( getRel904497637nt_a_b @ standard_S_Idt_a @ g ) @ ( insert_b @ x @ bot_bot_set_b ) ) ) )
   != ( hilbert_Eps_b
      @ ^ [Y: b] : ( member_b @ Y @ ( image_b_b @ ( getRel904497637nt_a_b @ standard_S_Idt_a @ g ) @ ( insert_b @ y @ bot_bot_set_b ) ) ) ) ),
    inference('cnf.neg',[status(esa)],[conj_0]) ).

thf(zip_derived_cl197,plain,
    ( ( hilbert_Eps_b
      @ ^ [Y0: b] : ( member_b @ Y0 @ ( image_b_b @ ( getRel904497637nt_a_b @ standard_S_Idt_a @ g ) @ ( insert_b @ x @ bot_bot_set_b ) ) ) )
   != ( hilbert_Eps_b
      @ ^ [Y0: b] : ( member_b @ Y0 @ ( image_b_b @ ( getRel904497637nt_a_b @ standard_S_Idt_a @ g ) @ ( insert_b @ y @ bot_bot_set_b ) ) ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(fact_0__092_060open_062getRel_AS__Idt_AG_A_096_096_A_123x_125_A_061_AgetRel_AS__Idt_AG_A_096_096_A_123y_125_092_060close_062,axiom,
    ( ( image_b_b @ ( getRel904497637nt_a_b @ standard_S_Idt_a @ g ) @ ( insert_b @ x @ bot_bot_set_b ) )
    = ( image_b_b @ ( getRel904497637nt_a_b @ standard_S_Idt_a @ g ) @ ( insert_b @ y @ bot_bot_set_b ) ) ) ).

thf(zip_derived_cl0,plain,
    ( ( image_b_b @ ( getRel904497637nt_a_b @ standard_S_Idt_a @ g ) @ ( insert_b @ x @ bot_bot_set_b ) )
    = ( image_b_b @ ( getRel904497637nt_a_b @ standard_S_Idt_a @ g ) @ ( insert_b @ y @ bot_bot_set_b ) ) ),
    inference(cnf,[status(esa)],[fact_0__092_060open_062getRel_AS__Idt_AG_A_096_096_A_123x_125_A_061_AgetRel_AS__Idt_AG_A_096_096_A_123y_125_092_060close_062]) ).

thf(zip_derived_cl203,plain,
    ( ( hilbert_Eps_b
      @ ^ [Y0: b] : ( member_b @ Y0 @ ( image_b_b @ ( getRel904497637nt_a_b @ standard_S_Idt_a @ g ) @ ( insert_b @ x @ bot_bot_set_b ) ) ) )
   != ( hilbert_Eps_b
      @ ^ [Y0: b] : ( member_b @ Y0 @ ( image_b_b @ ( getRel904497637nt_a_b @ standard_S_Idt_a @ g ) @ ( insert_b @ x @ bot_bot_set_b ) ) ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl197,zip_derived_cl0]) ).

thf(zip_derived_cl204,plain,
    $false,
    inference(simplify,[status(thm)],[zip_derived_cl203]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.14  % Problem  : ITP176^1 : TPTP v8.1.2. Released v7.5.0.
% 0.14/0.15  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.u2M9aF0TJ1 true
% 0.14/0.36  % Computer : n025.cluster.edu
% 0.14/0.36  % Model    : x86_64 x86_64
% 0.14/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36  % Memory   : 8042.1875MB
% 0.14/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36  % CPULimit : 300
% 0.14/0.36  % WCLimit  : 300
% 0.14/0.36  % DateTime : Sun Aug 27 12:23:08 EDT 2023
% 0.14/0.36  % CPUTime  : 
% 0.14/0.36  % Running portfolio for 300 s
% 0.14/0.36  % File         : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/0.36  % Number of cores: 8
% 0.14/0.36  % Python version: Python 3.6.8
% 0.14/0.36  % Running in HO mode
% 0.22/0.67  % Total configuration time : 828
% 0.22/0.67  % Estimated wc time : 1656
% 0.22/0.67  % Estimated cpu time (8 cpus) : 207.0
% 0.53/0.76  % /export/starexec/sandbox/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.53/0.76  % /export/starexec/sandbox/solver/bin/lams/40_c.s.sh running for 80s
% 0.53/0.76  % /export/starexec/sandbox/solver/bin/lams/15_e_short1.sh running for 30s
% 0.53/0.77  % /export/starexec/sandbox/solver/bin/lams/40_noforms.sh running for 90s
% 0.53/0.77  % /export/starexec/sandbox/solver/bin/lams/40_c_ic.sh running for 80s
% 0.53/0.77  % /export/starexec/sandbox/solver/bin/lams/40_b.comb.sh running for 70s
% 0.53/0.78  % /export/starexec/sandbox/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 0.53/0.79  % /export/starexec/sandbox/solver/bin/lams/30_sp5.sh running for 60s
% 0.58/0.86  % /export/starexec/sandbox/solver/bin/lams/30_b.l.sh running for 90s
% 0.60/0.91  % Solved by lams/30_sp5.sh.
% 0.60/0.91  % done 0 iterations in 0.089s
% 0.60/0.91  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.60/0.91  % SZS output start Refutation
% See solution above
% 0.60/0.91  
% 0.60/0.91  
% 0.60/0.92  % Terminating...
% 1.81/1.00  % Runner terminated.
% 1.81/1.00  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------