TSTP Solution File: SYN074+1 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SYN074+1 : TPTP v8.1.2. Released v2.0.0.
% Transfm  : NO INFORMATION
% Format   : NO INFORMATION
% Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.kqPBfwQ0uN true

% Computer : n014.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 04:01:35 EDT 2023

% Result   : Theorem 0.84s 0.77s
% Output   : Refutation 0.84s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   16
%            Number of leaves      :    8
% Syntax   : Number of formulae    :   33 (   2 unt;   6 typ;   0 def)
%            Number of atoms       :   73 (  63 equ;   0 cnn)
%            Maximal formula atoms :    5 (   2 avg)
%            Number of connectives :  163 (  41   ~;  40   |;   1   &;  76   @)
%                                         (   5 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   10 (   6 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    6 (   6   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    8 (   6 usr;   3 con; 0-2 aty)
%            Number of variables   :   46 (   0   ^;  40   !;   6   ?;  46   :)

% Comments : 
%------------------------------------------------------------------------------
thf(sk__4_type,type,
    sk__4: $i > $i ).

thf(big_f_type,type,
    big_f: $i > $i > $o ).

thf(sk__1_type,type,
    sk__1: $i ).

thf(sk__3_type,type,
    sk__3: $i > $i > $i ).

thf(sk__2_type,type,
    sk__2: $i > $i ).

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

thf(pel51,conjecture,
    ? [Z: $i] :
    ! [X: $i] :
      ( ? [W: $i] :
        ! [Y: $i] :
          ( ( big_f @ X @ Y )
        <=> ( Y = W ) )
    <=> ( X = Z ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ? [Z: $i] :
      ! [X: $i] :
        ( ? [W: $i] :
          ! [Y: $i] :
            ( ( big_f @ X @ Y )
          <=> ( Y = W ) )
      <=> ( X = Z ) ),
    inference('cnf.neg',[status(esa)],[pel51]) ).

thf(zip_derived_cl3,plain,
    ! [X0: $i,X1: $i] :
      ( ( ( sk__2 @ X0 )
        = X0 )
      | ( big_f @ ( sk__2 @ X0 ) @ X1 )
      | ( X1
       != ( sk__4 @ X0 ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(pel51_1,axiom,
    ? [Z: $i,W: $i] :
    ! [X: $i,Y: $i] :
      ( ( big_f @ X @ Y )
    <=> ( ( X = Z )
        & ( Y = W ) ) ) ).

thf(zip_derived_cl0,plain,
    ! [X0: $i,X1: $i] :
      ( ( X0 = sk_ )
      | ~ ( big_f @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[pel51_1]) ).

thf(zip_derived_cl33,plain,
    ! [X0: $i,X1: $i] :
      ( ( X1
       != ( sk__4 @ X0 ) )
      | ( ( sk__2 @ X0 )
        = X0 )
      | ( ( sk__2 @ X0 )
        = sk_ ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl3,zip_derived_cl0]) ).

thf(zip_derived_cl53,plain,
    ! [X0: $i] :
      ( ( ( sk__2 @ X0 )
        = sk_ )
      | ( ( sk__2 @ X0 )
        = X0 ) ),
    inference(eq_res,[status(thm)],[zip_derived_cl33]) ).

thf(zip_derived_cl62,plain,
    ! [X0: $i] :
      ( ( sk_ != X0 )
      | ( ( sk__2 @ X0 )
        = X0 ) ),
    inference(eq_fact,[status(thm)],[zip_derived_cl53]) ).

thf(zip_derived_cl62_001,plain,
    ! [X0: $i] :
      ( ( sk_ != X0 )
      | ( ( sk__2 @ X0 )
        = X0 ) ),
    inference(eq_fact,[status(thm)],[zip_derived_cl53]) ).

thf(zip_derived_cl6,plain,
    ! [X0: $i,X3: $i] :
      ( ( ( sk__2 @ X0 )
       != X0 )
      | ( ( sk__3 @ X3 @ X0 )
        = X3 )
      | ( big_f @ ( sk__2 @ X0 ) @ ( sk__3 @ X3 @ X0 ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl1,plain,
    ! [X0: $i,X1: $i] :
      ( ( X0 = sk__1 )
      | ~ ( big_f @ X1 @ X0 ) ),
    inference(cnf,[status(esa)],[pel51_1]) ).

thf(zip_derived_cl42,plain,
    ! [X0: $i,X1: $i] :
      ( ( ( sk__3 @ X1 @ X0 )
        = X1 )
      | ( ( sk__2 @ X0 )
       != X0 )
      | ( ( sk__3 @ X1 @ X0 )
        = sk__1 ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl6,zip_derived_cl1]) ).

thf(zip_derived_cl73,plain,
    ! [X0: $i,X1: $i] :
      ( ( X0 != X0 )
      | ( sk_ != X0 )
      | ( ( sk__3 @ X1 @ X0 )
        = sk__1 )
      | ( ( sk__3 @ X1 @ X0 )
        = X1 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl62,zip_derived_cl42]) ).

thf(zip_derived_cl76,plain,
    ! [X0: $i,X1: $i] :
      ( ( ( sk__3 @ X1 @ X0 )
        = X1 )
      | ( ( sk__3 @ X1 @ X0 )
        = sk__1 )
      | ( sk_ != X0 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl73]) ).

thf(zip_derived_cl79,plain,
    ! [X0: $i] :
      ( ( ( sk__3 @ X0 @ sk_ )
        = sk__1 )
      | ( ( sk__3 @ X0 @ sk_ )
        = X0 ) ),
    inference(eq_res,[status(thm)],[zip_derived_cl76]) ).

thf(zip_derived_cl94,plain,
    ! [X0: $i] :
      ( ( sk__1 != X0 )
      | ( ( sk__3 @ X0 @ sk_ )
        = X0 ) ),
    inference(eq_fact,[status(thm)],[zip_derived_cl79]) ).

thf(zip_derived_cl94_002,plain,
    ! [X0: $i] :
      ( ( sk__1 != X0 )
      | ( ( sk__3 @ X0 @ sk_ )
        = X0 ) ),
    inference(eq_fact,[status(thm)],[zip_derived_cl79]) ).

thf(zip_derived_cl2,plain,
    ! [X0: $i,X1: $i] :
      ( ( big_f @ X0 @ X1 )
      | ( X1 != sk__1 )
      | ( X0 != sk_ ) ),
    inference(cnf,[status(esa)],[pel51_1]) ).

thf(zip_derived_cl5,plain,
    ! [X0: $i,X3: $i] :
      ( ( ( sk__2 @ X0 )
       != X0 )
      | ( ( sk__3 @ X3 @ X0 )
       != X3 )
      | ~ ( big_f @ ( sk__2 @ X0 ) @ ( sk__3 @ X3 @ X0 ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl32,plain,
    ! [X0: $i,X1: $i] :
      ( ( ( sk__2 @ X0 )
       != sk_ )
      | ( ( sk__3 @ X1 @ X0 )
       != sk__1 )
      | ( ( sk__3 @ X1 @ X0 )
       != X1 )
      | ( ( sk__2 @ X0 )
       != X0 ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl2,zip_derived_cl5]) ).

thf(zip_derived_cl100,plain,
    ! [X0: $i] :
      ( ( X0 != sk__1 )
      | ( sk__1 != X0 )
      | ( ( sk__2 @ sk_ )
       != sk_ )
      | ( ( sk__3 @ X0 @ sk_ )
       != X0 )
      | ( ( sk__2 @ sk_ )
       != sk_ ) ),
    inference('sup-',[status(thm)],[zip_derived_cl94,zip_derived_cl32]) ).

thf(zip_derived_cl102,plain,
    ! [X0: $i] :
      ( ( ( sk__3 @ X0 @ sk_ )
       != X0 )
      | ( ( sk__2 @ sk_ )
       != sk_ )
      | ( X0 != sk__1 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl100]) ).

thf(zip_derived_cl112,plain,
    ! [X0: $i] :
      ( ( X0 != X0 )
      | ( sk__1 != X0 )
      | ( X0 != sk__1 )
      | ( ( sk__2 @ sk_ )
       != sk_ ) ),
    inference('sup-',[status(thm)],[zip_derived_cl94,zip_derived_cl102]) ).

thf(zip_derived_cl117,plain,
    ! [X0: $i] :
      ( ( ( sk__2 @ sk_ )
       != sk_ )
      | ( sk__1 != X0 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl112]) ).

thf(zip_derived_cl121,plain,
    ! [X0: $i] :
      ( ( sk_ != sk_ )
      | ( sk_ != sk_ )
      | ( sk__1 != X0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl62,zip_derived_cl117]) ).

thf(zip_derived_cl125,plain,
    ! [X0: $i] : ( sk__1 != X0 ),
    inference(simplify,[status(thm)],[zip_derived_cl121]) ).

thf(zip_derived_cl127,plain,
    $false,
    inference(eq_res,[status(thm)],[zip_derived_cl125]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem  : SYN074+1 : TPTP v8.1.2. Released v2.0.0.
% 0.00/0.14  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.kqPBfwQ0uN true
% 0.16/0.36  % Computer : n014.cluster.edu
% 0.16/0.36  % Model    : x86_64 x86_64
% 0.16/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.36  % Memory   : 8042.1875MB
% 0.16/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.16/0.36  % CPULimit : 300
% 0.16/0.36  % WCLimit  : 300
% 0.16/0.36  % DateTime : Sat Aug 26 18:33:17 EDT 2023
% 0.16/0.36  % CPUTime  : 
% 0.16/0.36  % Running portfolio for 300 s
% 0.16/0.36  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.16/0.36  % Number of cores: 8
% 0.16/0.37  % Python version: Python 3.6.8
% 0.16/0.37  % Running in FO mode
% 0.23/0.68  % Total configuration time : 435
% 0.23/0.68  % Estimated wc time : 1092
% 0.23/0.68  % Estimated cpu time (7 cpus) : 156.0
% 0.23/0.72  % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.23/0.73  % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.23/0.76  % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.84/0.77  % Solved by fo/fo3_bce.sh.
% 0.84/0.77  % BCE start: 7
% 0.84/0.77  % BCE eliminated: 0
% 0.84/0.77  % PE start: 7
% 0.84/0.77  logic: eq
% 0.84/0.77  % PE eliminated: -3
% 0.84/0.77  % done 25 iterations in 0.013s
% 0.84/0.77  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.84/0.77  % SZS output start Refutation
% See solution above
% 0.84/0.77  
% 0.84/0.77  
% 0.84/0.77  % Terminating...
% 1.50/0.88  % Runner terminated.
% 1.50/0.90  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------