TSTP Solution File: SEV431^1 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SEV431^1 : TPTP v8.1.2. Released v5.2.0.
% Transfm  : NO INFORMATION
% Format   : NO INFORMATION
% Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.7saRaWc0ZX true

% Computer : n026.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 20:00:45 EDT 2023

% Result   : Theorem 0.21s 0.75s
% Output   : Refutation 0.21s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    7
% Syntax   : Number of formulae    :   16 (   7 unt;   5 typ;   0 def)
%            Number of atoms       :   15 (  14 equ;   0 cnn)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :   44 (   8   ~;   3   |;   0   &;  32   @)
%                                         (   0 <=>;   1  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    5 (   3 avg)
%            Number of types       :    2 (   2 usr)
%            Number of type conns  :    9 (   9   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    5 (   3 usr;   1 con; 0-2 aty)
%            Number of variables   :   15 (   0   ^;  13   !;   2   ?;  15   :)

% Comments : 
%------------------------------------------------------------------------------
thf(b_type,type,
    b: $tType ).

thf(a_type,type,
    a: $tType ).

thf(f_type,type,
    f: a > b ).

thf(sk__type,type,
    sk_: ( b > a ) > a ).

thf('#_fresh_sk1_type',type,
    '#_fresh_sk1': b > a ).

thf(finj,axiom,
    ! [X: a,Y: a] :
      ( ( ( f @ X )
        = ( f @ Y ) )
     => ( X = Y ) ) ).

thf(zip_derived_cl0,plain,
    ! [X0: a,X1: a] :
      ( ( X1 = X0 )
      | ( ( f @ X1 )
       != ( f @ X0 ) ) ),
    inference(cnf,[status(esa)],[finj]) ).

thf(zip_derived_cl3,plain,
    ! [X1: a] :
      ( ( '#_fresh_sk1' @ ( f @ X1 ) )
      = X1 ),
    inference(inj_rec,[status(thm)],[zip_derived_cl0]) ).

thf(zip_derived_cl0_001,plain,
    ! [X0: a,X1: a] :
      ( ( X1 = X0 )
      | ( ( f @ X1 )
       != ( f @ X0 ) ) ),
    inference(cnf,[status(esa)],[finj]) ).

thf(invexists,conjecture,
    ? [G: b > a] :
    ! [X: a] :
      ( ( G @ ( f @ X ) )
      = X ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ? [G: b > a] :
      ! [X: a] :
        ( ( G @ ( f @ X ) )
        = X ),
    inference('cnf.neg',[status(esa)],[invexists]) ).

thf(zip_derived_cl1,plain,
    ! [X0: b > a] :
      ( ( X0 @ ( f @ ( sk_ @ X0 ) ) )
     != ( sk_ @ X0 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl5,plain,
    ! [X0: a,X1: b > a] :
      ( ( ( X1 @ ( f @ ( sk_ @ X1 ) ) )
       != X0 )
      | ( ( f @ ( sk_ @ X1 ) )
       != ( f @ X0 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl0,zip_derived_cl1]) ).

thf(zip_derived_cl9,plain,
    ! [X1: b > a] :
      ( ( f @ ( sk_ @ X1 ) )
     != ( f @ ( X1 @ ( f @ ( sk_ @ X1 ) ) ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl5]) ).

thf(zip_derived_cl19,plain,
    ( ( f @ ( sk_ @ '#_fresh_sk1' ) )
   != ( f @ ( sk_ @ '#_fresh_sk1' ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl3,zip_derived_cl9]) ).

thf(zip_derived_cl23,plain,
    $false,
    inference(simplify,[status(thm)],[zip_derived_cl19]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : SEV431^1 : TPTP v8.1.2. Released v5.2.0.
% 0.00/0.13  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.7saRaWc0ZX true
% 0.14/0.34  % Computer : n026.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 : Thu Aug 24 03:26:46 EDT 2023
% 0.14/0.34  % CPUTime  : 
% 0.14/0.34  % Running portfolio for 300 s
% 0.14/0.34  % File         : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/0.34  % Number of cores: 8
% 0.14/0.35  % Python version: Python 3.6.8
% 0.14/0.35  % Running in HO mode
% 0.21/0.68  % Total configuration time : 828
% 0.21/0.68  % Estimated wc time : 1656
% 0.21/0.68  % Estimated cpu time (8 cpus) : 207.0
% 0.21/0.71  % /export/starexec/sandbox/solver/bin/lams/40_c.s.sh running for 80s
% 0.21/0.72  % /export/starexec/sandbox/solver/bin/lams/40_c_ic.sh running for 80s
% 0.21/0.75  % Solved by lams/40_c_ic.sh.
% 0.21/0.75  % done 6 iterations in 0.012s
% 0.21/0.75  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.21/0.75  % SZS output start Refutation
% See solution above
% 0.21/0.75  
% 0.21/0.75  
% 0.21/0.75  % Terminating...
% 0.21/0.78  % Runner terminated.
% 0.21/0.79  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------