TSTP Solution File: SYO506^1 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SYO506^1 : TPTP v8.1.2. Released v4.1.0.
% Transfm  : NO INFORMATION
% Format   : NO INFORMATION
% Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.VmNaostj2v true

% Computer : n016.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 05:51:48 EDT 2023

% Result   : Theorem 0.21s 0.73s
% Output   : Refutation 0.21s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   17 (  10 unt;   3 typ;   0 def)
%            Number of atoms       :   33 (  24 equ;   0 cnn)
%            Maximal formula atoms :    3 (   2 avg)
%            Number of connectives :   57 (  12   ~;   6   |;   0   &;  39   @)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   3 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    3 (   3   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    6 (   3 usr;   4 con; 0-3 aty)
%            Number of variables   :   16 (   0   ^;  16   !;   0   ?;  16   :)

% Comments : 
%------------------------------------------------------------------------------
thf(sk__type,type,
    sk_: $i ).

thf(c_type,type,
    c: $o > $i > $i > $i ).

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

thf(claim,conjecture,
    ( ~ ! [X: $i,Y: $i] :
          ( ( c @ $false @ X @ Y )
          = Y )
    | ~ ! [X: $i,Y: $i] :
          ( ( c @ $true @ X @ Y )
          = X )
    | ! [X: $i,Y: $i] :
        ( ( c @ ( X = Y ) @ X @ Y )
        = Y ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ( ~ ! [X: $i,Y: $i] :
            ( ( c @ $false @ X @ Y )
            = Y )
      | ~ ! [X: $i,Y: $i] :
            ( ( c @ $true @ X @ Y )
            = X )
      | ! [X: $i,Y: $i] :
          ( ( c @ ( X = Y ) @ X @ Y )
          = Y ) ),
    inference('cnf.neg',[status(esa)],[claim]) ).

thf(zip_derived_cl0,plain,
    ( ( c @ ( sk_ = sk__1 ) @ sk_ @ sk__1 )
   != sk__1 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl0_001,plain,
    ( ( c @ ( sk_ = sk__1 ) @ sk_ @ sk__1 )
   != sk__1 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl7,plain,
    ( ( sk_ = sk__1 )
    | ( ( c @ $false @ sk_ @ sk__1 )
     != sk__1 ) ),
    inference(eq_hoist,[status(thm)],[zip_derived_cl0]) ).

thf(zip_derived_cl2,plain,
    ! [X2: $i,X3: $i] :
      ( ( c @ $false @ X3 @ X2 )
      = X2 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl8,plain,
    ( ( sk_ = sk__1 )
    | ( sk__1 != sk__1 ) ),
    inference(demod,[status(thm)],[zip_derived_cl7,zip_derived_cl2]) ).

thf(zip_derived_cl9,plain,
    sk_ = sk__1,
    inference(simplify,[status(thm)],[zip_derived_cl8]) ).

thf(zip_derived_cl9_002,plain,
    sk_ = sk__1,
    inference(simplify,[status(thm)],[zip_derived_cl8]) ).

thf(zip_derived_cl15,plain,
    ( ( c @ ( sk__1 = sk__1 ) @ sk__1 @ sk__1 )
   != sk__1 ),
    inference(demod,[status(thm)],[zip_derived_cl0,zip_derived_cl9,zip_derived_cl9]) ).

thf(zip_derived_cl16,plain,
    ( ( c @ $true @ sk__1 @ sk__1 )
   != sk__1 ),
    inference('simplify boolean subterms',[status(thm)],[zip_derived_cl15]) ).

thf(zip_derived_cl1,plain,
    ! [X0: $i,X1: $i] :
      ( ( c @ $true @ X0 @ X1 )
      = X0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl17,plain,
    sk__1 != sk__1,
    inference(demod,[status(thm)],[zip_derived_cl16,zip_derived_cl1]) ).

thf(zip_derived_cl18,plain,
    $false,
    inference(simplify,[status(thm)],[zip_derived_cl17]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : SYO506^1 : TPTP v8.1.2. Released v4.1.0.
% 0.00/0.13  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.VmNaostj2v true
% 0.14/0.34  % Computer : n016.cluster.edu
% 0.14/0.34  % Model    : x86_64 x86_64
% 0.14/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34  % Memory   : 8042.1875MB
% 0.14/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34  % CPULimit : 300
% 0.14/0.34  % WCLimit  : 300
% 0.14/0.34  % DateTime : Sat Aug 26 03:16:11 EDT 2023
% 0.14/0.35  % CPUTime  : 
% 0.14/0.35  % Running portfolio for 300 s
% 0.14/0.35  % File         : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/0.35  % Number of cores: 8
% 0.14/0.35  % Python version: Python 3.6.8
% 0.14/0.35  % Running in HO mode
% 0.21/0.67  % Total configuration time : 828
% 0.21/0.67  % Estimated wc time : 1656
% 0.21/0.67  % Estimated cpu time (8 cpus) : 207.0
% 0.21/0.71  % /export/starexec/sandbox/solver/bin/lams/40_c.s.sh running for 80s
% 0.21/0.73  % /export/starexec/sandbox/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.21/0.73  % Solved by lams/40_c.s.sh.
% 0.21/0.73  % done 3 iterations in 0.007s
% 0.21/0.73  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.21/0.73  % SZS output start Refutation
% See solution above
% 0.21/0.73  
% 0.21/0.73  
% 0.21/0.73  % /export/starexec/sandbox/solver/bin/lams/40_c_ic.sh running for 80s
% 0.21/0.73  % Terminating...
% 0.21/0.85  % Runner terminated.
% 0.21/0.86  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------