TSTP Solution File: ITP115^1 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : ITP115^1 : TPTP v8.1.2. Released v7.5.0.
% Transfm  : NO INFORMATION
% Format   : NO INFORMATION
% Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.GVE1q1HSMj true

% Computer : n013.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 05:22:16 EDT 2023

% Result   : Theorem 1.52s 1.50s
% Output   : Refutation 1.52s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :   17
% Syntax   : Number of formulae    :   41 (  16 unt;  13 typ;   0 def)
%            Number of atoms       :   59 (  22 equ;   0 cnn)
%            Maximal formula atoms :    6 (   2 avg)
%            Number of connectives :  141 (  30   ~;  21   |;   8   &;  80   @)
%                                         (   0 <=>;   2  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   11 (   4 avg)
%            Number of types       :    4 (   3 usr)
%            Number of type conns  :    6 (   6   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   12 (  10 usr;   7 con; 0-2 aty)
%            Number of variables   :   10 (   0   ^;   8   !;   2   ?;  10   :)

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

thf(a_type,type,
    a: $tType ).

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

thf(bot_bot_set_b_type,type,
    bot_bot_set_b: set_b ).

thf(topolo1276428102open_b_type,type,
    topolo1276428102open_b: set_b > $o ).

thf(a2_type,type,
    a2: b ).

thf(sk__1_type,type,
    sk__1: set_b ).

thf(f_type,type,
    f: a > b ).

thf(inf_inf_set_b_type,type,
    inf_inf_set_b: set_b > set_b > set_b ).

thf(sk__type,type,
    sk_: set_b ).

thf(thesis_type,type,
    thesis: $o ).

thf(x0_type,type,
    x0: a ).

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

thf(fact_1__092_060open_062f_Ax0_A_092_060noteq_062_AA_A_092_060Longrightarrow_062_A_092_060exists_062U_AV_O_Aopen_AU_A_092_060and_062_Aopen_AV_A_092_060and_062_Af_Ax0_A_092_060in_062_AU_A_092_060and_062_AA_A_092_060in_062_AV_A_092_060and_062_AU_A_092_060inter_062_AV_A_061_A_123_125_092_060close_062,axiom,
    ( ( ( f @ x0 )
     != a2 )
   => ? [U: set_b,V: set_b] :
        ( ( ( inf_inf_set_b @ U @ V )
          = bot_bot_set_b )
        & ( member_b @ a2 @ V )
        & ( member_b @ ( f @ x0 ) @ U )
        & ( topolo1276428102open_b @ V )
        & ( topolo1276428102open_b @ U ) ) ) ).

thf(zip_derived_cl5,plain,
    ( ( ( inf_inf_set_b @ sk_ @ sk__1 )
      = bot_bot_set_b )
    | ( ( f @ x0 )
      = a2 ) ),
    inference(cnf,[status(esa)],[fact_1__092_060open_062f_Ax0_A_092_060noteq_062_AA_A_092_060Longrightarrow_062_A_092_060exists_062U_AV_O_Aopen_AU_A_092_060and_062_Aopen_AV_A_092_060and_062_Af_Ax0_A_092_060in_062_AU_A_092_060and_062_AA_A_092_060in_062_AV_A_092_060and_062_AU_A_092_060inter_062_AV_A_061_A_123_125_092_060close_062]) ).

thf(fact_0__092_060open_062A_A_092_060noteq_062_Af_Ax0_092_060close_062,axiom,
    ( a2
   != ( f @ x0 ) ) ).

thf(zip_derived_cl0,plain,
    ( a2
   != ( f @ x0 ) ),
    inference(cnf,[status(esa)],[fact_0__092_060open_062A_A_092_060noteq_062_Af_Ax0_092_060close_062]) ).

thf(zip_derived_cl635,plain,
    ( ( inf_inf_set_b @ sk_ @ sk__1 )
    = bot_bot_set_b ),
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl5,zip_derived_cl0]) ).

thf(zip_derived_cl1,plain,
    ( ( member_b @ ( f @ x0 ) @ sk_ )
    | ( ( f @ x0 )
      = a2 ) ),
    inference(cnf,[status(esa)],[fact_1__092_060open_062f_Ax0_A_092_060noteq_062_AA_A_092_060Longrightarrow_062_A_092_060exists_062U_AV_O_Aopen_AU_A_092_060and_062_Aopen_AV_A_092_060and_062_Af_Ax0_A_092_060in_062_AU_A_092_060and_062_AA_A_092_060in_062_AV_A_092_060and_062_AU_A_092_060inter_062_AV_A_061_A_123_125_092_060close_062]) ).

thf(zip_derived_cl0_001,plain,
    ( a2
   != ( f @ x0 ) ),
    inference(cnf,[status(esa)],[fact_0__092_060open_062A_A_092_060noteq_062_Af_Ax0_092_060close_062]) ).

thf(zip_derived_cl585,plain,
    member_b @ ( f @ x0 ) @ sk_,
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl1,zip_derived_cl0]) ).

thf(conj_0,axiom,
    ! [S2: set_b,V3: set_b] :
      ( ( ( topolo1276428102open_b @ S2 )
        & ( topolo1276428102open_b @ V3 )
        & ( member_b @ ( f @ x0 ) @ S2 )
        & ( member_b @ a2 @ V3 )
        & ( ( inf_inf_set_b @ S2 @ V3 )
          = bot_bot_set_b ) )
     => thesis ) ).

thf(zip_derived_cl559,plain,
    ! [X0: set_b,X1: set_b] :
      ( thesis
      | ~ ( member_b @ ( f @ x0 ) @ X0 )
      | ~ ( topolo1276428102open_b @ X0 )
      | ~ ( topolo1276428102open_b @ X1 )
      | ~ ( member_b @ a2 @ X1 )
      | ( ( inf_inf_set_b @ X0 @ X1 )
       != bot_bot_set_b ) ),
    inference(cnf,[status(esa)],[conj_0]) ).

thf(conj_1,conjecture,
    thesis ).

thf(zf_stmt_0,negated_conjecture,
    ~ thesis,
    inference('cnf.neg',[status(esa)],[conj_1]) ).

thf(zip_derived_cl560,plain,
    ~ thesis,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl2802,plain,
    ! [X0: set_b,X1: set_b] :
      ( ~ ( member_b @ ( f @ x0 ) @ X0 )
      | ~ ( topolo1276428102open_b @ X0 )
      | ~ ( topolo1276428102open_b @ X1 )
      | ~ ( member_b @ a2 @ X1 )
      | ( ( inf_inf_set_b @ X0 @ X1 )
       != bot_bot_set_b ) ),
    inference(demod,[status(thm)],[zip_derived_cl559,zip_derived_cl560]) ).

thf(zip_derived_cl2807,plain,
    ! [X0: set_b] :
      ( ( ( inf_inf_set_b @ sk_ @ X0 )
       != bot_bot_set_b )
      | ~ ( member_b @ a2 @ X0 )
      | ~ ( topolo1276428102open_b @ X0 )
      | ~ ( topolo1276428102open_b @ sk_ ) ),
    inference('sup-',[status(thm)],[zip_derived_cl585,zip_derived_cl2802]) ).

thf(zip_derived_cl2,plain,
    ( ( topolo1276428102open_b @ sk_ )
    | ( ( f @ x0 )
      = a2 ) ),
    inference(cnf,[status(esa)],[fact_1__092_060open_062f_Ax0_A_092_060noteq_062_AA_A_092_060Longrightarrow_062_A_092_060exists_062U_AV_O_Aopen_AU_A_092_060and_062_Aopen_AV_A_092_060and_062_Af_Ax0_A_092_060in_062_AU_A_092_060and_062_AA_A_092_060in_062_AV_A_092_060and_062_AU_A_092_060inter_062_AV_A_061_A_123_125_092_060close_062]) ).

thf(zip_derived_cl0_002,plain,
    ( a2
   != ( f @ x0 ) ),
    inference(cnf,[status(esa)],[fact_0__092_060open_062A_A_092_060noteq_062_Af_Ax0_092_060close_062]) ).

thf(zip_derived_cl594,plain,
    topolo1276428102open_b @ sk_,
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl2,zip_derived_cl0]) ).

thf(zip_derived_cl2822,plain,
    ! [X0: set_b] :
      ( ( ( inf_inf_set_b @ sk_ @ X0 )
       != bot_bot_set_b )
      | ~ ( member_b @ a2 @ X0 )
      | ~ ( topolo1276428102open_b @ X0 ) ),
    inference(demod,[status(thm)],[zip_derived_cl2807,zip_derived_cl594]) ).

thf(zip_derived_cl2825,plain,
    ( ( bot_bot_set_b != bot_bot_set_b )
    | ~ ( topolo1276428102open_b @ sk__1 )
    | ~ ( member_b @ a2 @ sk__1 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl635,zip_derived_cl2822]) ).

thf(zip_derived_cl3,plain,
    ( ( topolo1276428102open_b @ sk__1 )
    | ( ( f @ x0 )
      = a2 ) ),
    inference(cnf,[status(esa)],[fact_1__092_060open_062f_Ax0_A_092_060noteq_062_AA_A_092_060Longrightarrow_062_A_092_060exists_062U_AV_O_Aopen_AU_A_092_060and_062_Aopen_AV_A_092_060and_062_Af_Ax0_A_092_060in_062_AU_A_092_060and_062_AA_A_092_060in_062_AV_A_092_060and_062_AU_A_092_060inter_062_AV_A_061_A_123_125_092_060close_062]) ).

thf(zip_derived_cl0_003,plain,
    ( a2
   != ( f @ x0 ) ),
    inference(cnf,[status(esa)],[fact_0__092_060open_062A_A_092_060noteq_062_Af_Ax0_092_060close_062]) ).

thf(zip_derived_cl603,plain,
    topolo1276428102open_b @ sk__1,
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl3,zip_derived_cl0]) ).

thf(zip_derived_cl4,plain,
    ( ( member_b @ a2 @ sk__1 )
    | ( ( f @ x0 )
      = a2 ) ),
    inference(cnf,[status(esa)],[fact_1__092_060open_062f_Ax0_A_092_060noteq_062_AA_A_092_060Longrightarrow_062_A_092_060exists_062U_AV_O_Aopen_AU_A_092_060and_062_Aopen_AV_A_092_060and_062_Af_Ax0_A_092_060in_062_AU_A_092_060and_062_AA_A_092_060in_062_AV_A_092_060and_062_AU_A_092_060inter_062_AV_A_061_A_123_125_092_060close_062]) ).

thf(zip_derived_cl0_004,plain,
    ( a2
   != ( f @ x0 ) ),
    inference(cnf,[status(esa)],[fact_0__092_060open_062A_A_092_060noteq_062_Af_Ax0_092_060close_062]) ).

thf(zip_derived_cl616,plain,
    member_b @ a2 @ sk__1,
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl4,zip_derived_cl0]) ).

thf(zip_derived_cl2834,plain,
    bot_bot_set_b != bot_bot_set_b,
    inference(demod,[status(thm)],[zip_derived_cl2825,zip_derived_cl603,zip_derived_cl616]) ).

thf(zip_derived_cl2835,plain,
    $false,
    inference(simplify,[status(thm)],[zip_derived_cl2834]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem  : ITP115^1 : TPTP v8.1.2. Released v7.5.0.
% 0.00/0.14  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.GVE1q1HSMj true
% 0.18/0.35  % Computer : n013.cluster.edu
% 0.18/0.35  % Model    : x86_64 x86_64
% 0.18/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.35  % Memory   : 8042.1875MB
% 0.18/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.18/0.35  % CPULimit : 300
% 0.18/0.35  % WCLimit  : 300
% 0.18/0.35  % DateTime : Sun Aug 27 11:20:17 EDT 2023
% 0.18/0.35  % CPUTime  : 
% 0.18/0.35  % Running portfolio for 300 s
% 0.18/0.35  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/0.36  % Number of cores: 8
% 0.18/0.36  % Python version: Python 3.6.8
% 0.18/0.36  % Running in HO mode
% 0.22/0.68  % Total configuration time : 828
% 0.22/0.68  % Estimated wc time : 1656
% 0.22/0.68  % Estimated cpu time (8 cpus) : 207.0
% 0.22/0.72  % /export/starexec/sandbox2/solver/bin/lams/40_c.s.sh running for 80s
% 0.22/0.77  % /export/starexec/sandbox2/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.22/0.77  % /export/starexec/sandbox2/solver/bin/lams/40_c_ic.sh running for 80s
% 0.22/0.77  % /export/starexec/sandbox2/solver/bin/lams/40_noforms.sh running for 90s
% 0.22/0.77  % /export/starexec/sandbox2/solver/bin/lams/15_e_short1.sh running for 30s
% 0.22/0.77  % /export/starexec/sandbox2/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 0.22/0.78  % /export/starexec/sandbox2/solver/bin/lams/30_sp5.sh running for 60s
% 0.22/0.78  % /export/starexec/sandbox2/solver/bin/lams/40_b.comb.sh running for 70s
% 0.63/0.81  % /export/starexec/sandbox2/solver/bin/lams/30_b.l.sh running for 90s
% 0.63/0.81  % /export/starexec/sandbox2/solver/bin/lams/35_full_unif.sh running for 56s
% 1.52/1.50  % Solved by lams/40_noforms.sh.
% 1.52/1.50  % done 451 iterations in 0.697s
% 1.52/1.50  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 1.52/1.50  % SZS output start Refutation
% See solution above
% 1.52/1.50  
% 1.52/1.50  
% 1.52/1.50  % Terminating...
% 7.51/1.60  % Runner terminated.
% 7.51/1.60  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------