TSTP Solution File: SYN083+1 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SYN083+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.MyTqko083u true

% Computer : n022.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 04:01:39 EDT 2023

% Result   : Theorem 0.22s 0.74s
% Output   : Refutation 0.22s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    7
% Syntax   : Number of formulae    :   14 (   9 unt;   5 typ;   0 def)
%            Number of atoms       :    9 (   8 equ;   0 cnn)
%            Maximal formula atoms :    1 (   1 avg)
%            Number of connectives :   83 (   3   ~;   0   |;   0   &;  80   @)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   4 avg)
%            Number of types       :    1 (   0 usr)
%            Number of type conns  :    2 (   2   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    7 (   5 usr;   5 con; 0-2 aty)
%            Number of variables   :   20 (   0   ^;  20   !;   0   ?;  20   :)

% Comments : 
%------------------------------------------------------------------------------
thf(sk__2_type,type,
    sk__2: $i ).

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

thf(f_type,type,
    f: $i > $i > $i ).

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

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

thf(pel61,conjecture,
    ! [X: $i,Y: $i,Z: $i,W: $i] :
      ( ( f @ X @ ( f @ Y @ ( f @ Z @ W ) ) )
      = ( f @ ( f @ ( f @ X @ Y ) @ Z ) @ W ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ! [X: $i,Y: $i,Z: $i,W: $i] :
        ( ( f @ X @ ( f @ Y @ ( f @ Z @ W ) ) )
        = ( f @ ( f @ ( f @ X @ Y ) @ Z ) @ W ) ),
    inference('cnf.neg',[status(esa)],[pel61]) ).

thf(zip_derived_cl1,plain,
    ( ( f @ sk_ @ ( f @ sk__1 @ ( f @ sk__2 @ sk__3 ) ) )
   != ( f @ ( f @ ( f @ sk_ @ sk__1 ) @ sk__2 ) @ sk__3 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(p61_1,axiom,
    ! [X: $i,Y: $i,Z: $i] :
      ( ( f @ X @ ( f @ Y @ Z ) )
      = ( f @ ( f @ X @ Y ) @ Z ) ) ).

thf(zip_derived_cl0,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( f @ X0 @ ( f @ X1 @ X2 ) )
      = ( f @ ( f @ X0 @ X1 ) @ X2 ) ),
    inference(cnf,[status(esa)],[p61_1]) ).

thf(zip_derived_cl0_001,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( f @ X0 @ ( f @ X1 @ X2 ) )
      = ( f @ ( f @ X0 @ X1 ) @ X2 ) ),
    inference(cnf,[status(esa)],[p61_1]) ).

thf(zip_derived_cl0_002,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( f @ X0 @ ( f @ X1 @ X2 ) )
      = ( f @ ( f @ X0 @ X1 ) @ X2 ) ),
    inference(cnf,[status(esa)],[p61_1]) ).

thf(zip_derived_cl2,plain,
    ( ( f @ sk_ @ ( f @ sk__1 @ ( f @ sk__2 @ sk__3 ) ) )
   != ( f @ sk_ @ ( f @ sk__1 @ ( f @ sk__2 @ sk__3 ) ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl1,zip_derived_cl0,zip_derived_cl0,zip_derived_cl0]) ).

thf(zip_derived_cl3,plain,
    $false,
    inference(simplify,[status(thm)],[zip_derived_cl2]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem  : SYN083+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.MyTqko083u true
% 0.15/0.36  % Computer : n022.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 : Sat Aug 26 21:48:10 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
% 0.22/0.65  % Total configuration time : 435
% 0.22/0.65  % Estimated wc time : 1092
% 0.22/0.65  % Estimated cpu time (7 cpus) : 156.0
% 0.22/0.72  % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.22/0.73  % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.22/0.74  % Solved by fo/fo6_bce.sh.
% 0.22/0.74  % BCE start: 2
% 0.22/0.74  % BCE eliminated: 0
% 0.22/0.74  % PE start: 2
% 0.22/0.74  logic: eq
% 0.22/0.74  % PE eliminated: 0
% 0.22/0.74  % done 1 iterations in 0.005s
% 0.22/0.74  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.22/0.74  % SZS output start Refutation
% See solution above
% 0.22/0.74  
% 0.22/0.74  
% 0.22/0.74  % Terminating...
% 1.33/0.86  % Runner terminated.
% 1.48/0.87  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------