TSTP Solution File: NUN087+2 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : NUN087+2 : TPTP v8.1.2. Released v7.3.0.
% Transfm  : NO INFORMATION
% Format   : NO INFORMATION
% Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.usyDg5gWRG true

% Computer : n019.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 12:54:28 EDT 2023

% Result   : Theorem 0.22s 0.77s
% Output   : Refutation 0.22s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :   19
% Syntax   : Number of formulae    :   44 (  14 unt;  12 typ;   0 def)
%            Number of atoms       :   64 (  18 equ;   0 cnn)
%            Maximal formula atoms :    4 (   2 avg)
%            Number of connectives :  135 (  21   ~;  15   |;  15   &;  82   @)
%                                         (   0 <=>;   2  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   11 (   5 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   19 (  19   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   12 (  10 usr;   2 con; 0-3 aty)
%            Number of variables   :   46 (   0   ^;  33   !;  13   ?;  46   :)

% Comments : 
%------------------------------------------------------------------------------
thf(r3_type,type,
    r3: $i > $i > $i > $o ).

thf(zip_tseitin_0_type,type,
    zip_tseitin_0: $i > $i > $o ).

thf(r1_type,type,
    r1: $i > $o ).

thf(sk__15_type,type,
    sk__15: $i > $i ).

thf(sk__16_type,type,
    sk__16: $i > $i ).

thf(sk__type,type,
    sk_: $i ).

thf(zip_tseitin_1_type,type,
    zip_tseitin_1: $i > $i > $o ).

thf(sk__14_type,type,
    sk__14: $i > $i ).

thf(r4_type,type,
    r4: $i > $i > $i > $o ).

thf(sk__13_type,type,
    sk__13: $i > $i ).

thf(axiom_5a,axiom,
    ! [X5: $i] :
    ? [Y8: $i] :
      ( ? [Y18: $i] :
          ( ( Y8 = Y18 )
          & ( r1 @ Y18 ) )
      & ? [Y17: $i] :
          ( ( r4 @ X5 @ Y17 @ Y8 )
          & ( r1 @ Y17 ) ) ) ).

thf(zip_derived_cl34,plain,
    ! [X0: $i] : ( r4 @ X0 @ ( sk__16 @ X0 ) @ ( sk__14 @ X0 ) ),
    inference(cnf,[status(esa)],[axiom_5a]) ).

thf(zip_derived_cl35,plain,
    ! [X0: $i] : ( r1 @ ( sk__16 @ X0 ) ),
    inference(cnf,[status(esa)],[axiom_5a]) ).

thf(axiom_1,axiom,
    ? [Y24: $i] :
    ! [X19: $i] :
      ( ( ~ ( r1 @ X19 )
        & ( X19 != Y24 ) )
      | ( ( r1 @ X19 )
        & ( X19 = Y24 ) ) ) ).

thf(zf_stmt_0,type,
    zip_tseitin_1: $i > $i > $o ).

thf(zf_stmt_1,axiom,
    ! [X19: $i,Y24: $i] :
      ( ( zip_tseitin_1 @ X19 @ Y24 )
     => ( ( X19 = Y24 )
        & ( r1 @ X19 ) ) ) ).

thf(zf_stmt_2,type,
    zip_tseitin_0: $i > $i > $o ).

thf(zf_stmt_3,axiom,
    ! [X19: $i,Y24: $i] :
      ( ( zip_tseitin_0 @ X19 @ Y24 )
     => ( ( X19 != Y24 )
        & ~ ( r1 @ X19 ) ) ) ).

thf(zf_stmt_4,axiom,
    ? [Y24: $i] :
    ! [X19: $i] :
      ( ( zip_tseitin_1 @ X19 @ Y24 )
      | ( zip_tseitin_0 @ X19 @ Y24 ) ) ).

thf(zip_derived_cl4,plain,
    ! [X0: $i] :
      ( ( zip_tseitin_1 @ X0 @ sk_ )
      | ( zip_tseitin_0 @ X0 @ sk_ ) ),
    inference(cnf,[status(esa)],[zf_stmt_4]) ).

thf(zip_derived_cl1,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( r1 @ X0 )
      | ~ ( zip_tseitin_0 @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[zf_stmt_3]) ).

thf(zip_derived_cl166,plain,
    ! [X0: $i] :
      ( ( zip_tseitin_1 @ X0 @ sk_ )
      | ~ ( r1 @ X0 ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl4,zip_derived_cl1]) ).

thf(zip_derived_cl2,plain,
    ! [X0: $i,X1: $i] :
      ( ( X1 = X0 )
      | ~ ( zip_tseitin_1 @ X1 @ X0 ) ),
    inference(cnf,[status(esa)],[zf_stmt_1]) ).

thf(zip_derived_cl177,plain,
    ! [X0: $i] :
      ( ~ ( r1 @ X0 )
      | ( X0 = sk_ ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl166,zip_derived_cl2]) ).

thf(zip_derived_cl221,plain,
    ! [X0: $i] :
      ( ( sk__16 @ X0 )
      = sk_ ),
    inference('s_sup-',[status(thm)],[zip_derived_cl35,zip_derived_cl177]) ).

thf(zip_derived_cl36,plain,
    ! [X0: $i] :
      ( ( sk__14 @ X0 )
      = ( sk__15 @ X0 ) ),
    inference(cnf,[status(esa)],[axiom_5a]) ).

thf(zip_derived_cl37,plain,
    ! [X0: $i] : ( r1 @ ( sk__15 @ X0 ) ),
    inference(cnf,[status(esa)],[axiom_5a]) ).

thf(zip_derived_cl177_001,plain,
    ! [X0: $i] :
      ( ~ ( r1 @ X0 )
      | ( X0 = sk_ ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl166,zip_derived_cl2]) ).

thf(zip_derived_cl228,plain,
    ! [X0: $i] :
      ( ( sk__15 @ X0 )
      = sk_ ),
    inference('s_sup-',[status(thm)],[zip_derived_cl37,zip_derived_cl177]) ).

thf(zip_derived_cl233,plain,
    ! [X0: $i] :
      ( ( sk__14 @ X0 )
      = sk_ ),
    inference(demod,[status(thm)],[zip_derived_cl36,zip_derived_cl228]) ).

thf(zip_derived_cl244,plain,
    ! [X0: $i] : ( r4 @ X0 @ sk_ @ sk_ ),
    inference(demod,[status(thm)],[zip_derived_cl34,zip_derived_cl221,zip_derived_cl233]) ).

thf(zerotimeszeroeqzero,conjecture,
    ? [Y1: $i] :
      ( ? [Y3: $i] :
          ( ( Y1 = Y3 )
          & ( r1 @ Y3 ) )
      & ? [Y2: $i] :
          ( ( r4 @ Y2 @ Y2 @ Y1 )
          & ( r1 @ Y2 ) ) ) ).

thf(zf_stmt_5,negated_conjecture,
    ~ ? [Y1: $i] :
        ( ? [Y3: $i] :
            ( ( Y1 = Y3 )
            & ( r1 @ Y3 ) )
        & ? [Y2: $i] :
            ( ( r4 @ Y2 @ Y2 @ Y1 )
            & ( r1 @ Y2 ) ) ),
    inference('cnf.neg',[status(esa)],[zerotimeszeroeqzero]) ).

thf(zip_derived_cl44,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( r1 @ X0 )
      | ( X1 != X0 )
      | ~ ( r1 @ X2 )
      | ~ ( r4 @ X2 @ X2 @ X1 ) ),
    inference(cnf,[status(esa)],[zf_stmt_5]) ).

thf(zip_derived_cl235,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( r4 @ X1 @ X1 @ X0 )
      | ~ ( r1 @ X1 )
      | ~ ( r1 @ X0 ) ),
    inference(eq_res,[status(thm)],[zip_derived_cl44]) ).

thf(zip_derived_cl245,plain,
    ( ~ ( r1 @ sk_ )
    | ~ ( r1 @ sk_ ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl244,zip_derived_cl235]) ).

thf(axiom_4a,axiom,
    ! [X4: $i] :
    ? [Y9: $i] :
      ( ( Y9 = X4 )
      & ? [Y16: $i] :
          ( ( r3 @ X4 @ Y16 @ Y9 )
          & ( r1 @ Y16 ) ) ) ).

thf(zip_derived_cl32,plain,
    ! [X0: $i] : ( r1 @ ( sk__13 @ X0 ) ),
    inference(cnf,[status(esa)],[axiom_4a]) ).

thf(zip_derived_cl177_002,plain,
    ! [X0: $i] :
      ( ~ ( r1 @ X0 )
      | ( X0 = sk_ ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl166,zip_derived_cl2]) ).

thf(zip_derived_cl32_003,plain,
    ! [X0: $i] : ( r1 @ ( sk__13 @ X0 ) ),
    inference(cnf,[status(esa)],[axiom_4a]) ).

thf(zip_derived_cl215,plain,
    ! [X0: $i] :
      ( ( sk__13 @ X0 )
      = sk_ ),
    inference('s_sup+',[status(thm)],[zip_derived_cl177,zip_derived_cl32]) ).

thf(zip_derived_cl219,plain,
    r1 @ sk_,
    inference(demod,[status(thm)],[zip_derived_cl32,zip_derived_cl215]) ).

thf(zip_derived_cl219_004,plain,
    r1 @ sk_,
    inference(demod,[status(thm)],[zip_derived_cl32,zip_derived_cl215]) ).

thf(zip_derived_cl246,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl245,zip_derived_cl219,zip_derived_cl219]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem  : NUN087+2 : TPTP v8.1.2. Released v7.3.0.
% 0.15/0.14  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.usyDg5gWRG true
% 0.15/0.36  % Computer : n019.cluster.edu
% 0.15/0.36  % Model    : x86_64 x86_64
% 0.15/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36  % Memory   : 8042.1875MB
% 0.15/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36  % CPULimit : 300
% 0.15/0.36  % WCLimit  : 300
% 0.15/0.36  % DateTime : Sun Aug 27 09:29:13 EDT 2023
% 0.15/0.36  % CPUTime  : 
% 0.15/0.36  % Running portfolio for 300 s
% 0.15/0.36  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.15/0.36  % Number of cores: 8
% 0.15/0.36  % Python version: Python 3.6.8
% 0.15/0.36  % Running in FO mode
% 0.22/0.68  % Total configuration time : 435
% 0.22/0.68  % Estimated wc time : 1092
% 0.22/0.68  % Estimated cpu time (7 cpus) : 156.0
% 0.22/0.72  % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.22/0.77  % Solved by fo/fo6_bce.sh.
% 0.22/0.77  % BCE start: 45
% 0.22/0.77  % BCE eliminated: 0
% 0.22/0.77  % PE start: 45
% 0.22/0.77  logic: eq
% 0.22/0.77  % PE eliminated: 15
% 0.22/0.77  % done 36 iterations in 0.029s
% 0.22/0.77  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.22/0.77  % SZS output start Refutation
% See solution above
% 0.22/0.77  
% 0.22/0.77  
% 0.22/0.77  % Terminating...
% 0.22/0.77  % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 1.43/0.88  % Runner terminated.
% 1.43/0.89  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------