TSTP Solution File: SYO361^5 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SYO361^5 : TPTP v8.1.2. Released v4.0.0.
% Transfm  : NO INFORMATION
% Format   : NO INFORMATION
% Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.bYo6mSeXLp true

% Computer : n003.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 05:50:50 EDT 2023

% Result   : Theorem 0.21s 0.76s
% Output   : Refutation 0.21s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   18 (   8 unt;   4 typ;   0 def)
%            Number of atoms       :   22 (  18 equ;   2 cnn)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :   58 (  12   ~;   8   |;   0   &;  34   @)
%                                         (   2 <=>;   2  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   10 (   5 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   13 (  13   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    7 (   4 usr;   4 con; 0-2 aty)
%            Number of variables   :   19 (   8   ^;  11   !;   0   ?;  19   :)

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

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

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

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

thf(cTHM47,conjecture,
    ! [X: $i,Y: $i] :
      ( ( X = Y )
    <=> ! [R: $i > $i > $o] :
          ( ! [Z: $i] : ( R @ Z @ Z )
         => ( R @ X @ Y ) ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ! [X: $i,Y: $i] :
        ( ( X = Y )
      <=> ! [R: $i > $i > $o] :
            ( ! [Z: $i] : ( R @ Z @ Z )
           => ( R @ X @ Y ) ) ),
    inference('cnf.neg',[status(esa)],[cTHM47]) ).

thf(zip_derived_cl0,plain,
    ! [X0: $i > $i > $o] :
      ( ~ ( X0 @ ( sk__3 @ X0 ) @ ( sk__3 @ X0 ) )
      | ( X0 @ sk_ @ sk__1 )
      | ( sk_ = sk__1 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

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

thf(zip_derived_cl3,plain,
    ( ~ ( sk__2 @ sk_ @ sk_ )
    | ( sk_ != sk__1 ) ),
    inference(local_rewriting,[status(thm)],[zip_derived_cl1]) ).

thf(zip_derived_cl2,plain,
    ! [X1: $i] :
      ( ( sk__2 @ X1 @ X1 )
      | ( sk_ != sk__1 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl4,plain,
    sk_ != sk__1,
    inference(clc,[status(thm)],[zip_derived_cl3,zip_derived_cl2]) ).

thf(zip_derived_cl5,plain,
    ! [X0: $i > $i > $o] :
      ( ~ ( X0 @ ( sk__3 @ X0 ) @ ( sk__3 @ X0 ) )
      | ( X0 @ sk_ @ sk__1 ) ),
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl0,zip_derived_cl4]) ).

thf(zip_derived_cl14,plain,
    ( ~ ( ^ [Y0: $i,Y1: $i] : ( Y0 = Y1 )
        @ ( sk__3
          @ ^ [Y0: $i,Y1: $i] : ( Y0 = Y1 ) )
        @ ( sk__3
          @ ^ [Y0: $i,Y1: $i] : ( Y0 = Y1 ) ) )
    | ( ^ [Y0: $i,Y1: $i] : ( Y0 = Y1 )
      @ sk_
      @ sk__1 ) ),
    inference('ho.refine',[status(thm)],[zip_derived_cl5]) ).

thf(zip_derived_cl43,plain,
    ( ( ( sk__3 @ (=) )
     != ( sk__3 @ (=) ) )
    | ( sk_ = sk__1 ) ),
    inference(ho_norm,[status(thm)],[zip_derived_cl14]) ).

thf(zip_derived_cl44,plain,
    sk_ = sk__1,
    inference('simplify boolean subterms',[status(thm)],[zip_derived_cl43]) ).

thf(zip_derived_cl45,plain,
    sk_ = sk__1,
    inference('simplify nested equalities',[status(thm)],[zip_derived_cl44]) ).

thf(zip_derived_cl4_001,plain,
    sk_ != sk__1,
    inference(clc,[status(thm)],[zip_derived_cl3,zip_derived_cl2]) ).

thf(zip_derived_cl53,plain,
    $false,
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl45,zip_derived_cl4]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem  : SYO361^5 : TPTP v8.1.2. Released v4.0.0.
% 0.14/0.14  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.bYo6mSeXLp true
% 0.14/0.34  % Computer : n003.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 05:19:39 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
% 0.21/0.72  % /export/starexec/sandbox/solver/bin/lams/40_c.s.sh running for 80s
% 0.21/0.75  % /export/starexec/sandbox/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.21/0.75  % /export/starexec/sandbox/solver/bin/lams/40_c_ic.sh running for 80s
% 0.21/0.75  % /export/starexec/sandbox/solver/bin/lams/15_e_short1.sh running for 30s
% 0.21/0.76  % Solved by lams/40_c.s.sh.
% 0.21/0.76  % done 2 iterations in 0.016s
% 0.21/0.76  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.21/0.76  % SZS output start Refutation
% See solution above
% 0.21/0.76  
% 0.21/0.76  
% 0.21/0.76  % Terminating...
% 1.63/0.86  % Runner terminated.
% 1.63/0.88  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------