TSTP Solution File: NUM652^1 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : NUM652^1 : TPTP v8.1.2. Released v3.7.0.
% Transfm  : NO INFORMATION
% Format   : NO INFORMATION
% Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.qVyYVgcnXI true

% Computer : n009.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 12:43:06 EDT 2023

% Result   : Theorem 0.54s 0.74s
% Output   : Refutation 0.54s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    8
% Syntax   : Number of formulae    :   18 (   8 unt;   5 typ;   0 def)
%            Number of atoms       :   22 (   6 equ;   0 cnn)
%            Maximal formula atoms :    6 (   1 avg)
%            Number of connectives :   52 (  13   ~;   3   |;   0   &;  30   @)
%                                         (   0 <=>;   6  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   10 (   4 avg)
%            Number of types       :    2 (   1 usr)
%            Number of type conns  :    4 (   4   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    6 (   4 usr;   3 con; 0-2 aty)
%            Number of variables   :    7 (   0   ^;   7   !;   0   ?;   7   :)

% Comments : 
%------------------------------------------------------------------------------
thf(nat_type,type,
    nat: $tType ).

thf(less_type,type,
    less: nat > nat > $o ).

thf(y_type,type,
    y: nat ).

thf(more_type,type,
    more: nat > nat > $o ).

thf(x_type,type,
    x: nat ).

thf(satz10c,conjecture,
    ~ ( less @ x @ y ) ).

thf(zf_stmt_0,negated_conjecture,
    less @ x @ y,
    inference('cnf.neg',[status(esa)],[satz10c]) ).

thf(zip_derived_cl5,plain,
    less @ x @ y,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(m,axiom,
    ( ~ ( more @ x @ y )
   => ( x = y ) ) ).

thf(zip_derived_cl0,plain,
    ( ( x = y )
    | ( more @ x @ y ) ),
    inference(cnf,[status(esa)],[m]) ).

thf(zip_derived_cl5_001,plain,
    less @ x @ y,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(satz10b,axiom,
    ! [Xx: nat,Xy: nat] :
      ~ ( ( ( Xx = Xy )
         => ~ ( more @ Xx @ Xy ) )
       => ( ( ( more @ Xx @ Xy )
           => ~ ( less @ Xx @ Xy ) )
         => ~ ( ( less @ Xx @ Xy )
             => ( Xx != Xy ) ) ) ) ).

thf(zip_derived_cl4,plain,
    ! [X0: nat,X1: nat] :
      ( ~ ( less @ X0 @ X1 )
      | ~ ( more @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[satz10b]) ).

thf(zip_derived_cl8,plain,
    ~ ( more @ x @ y ),
    inference('sup-',[status(thm)],[zip_derived_cl5,zip_derived_cl4]) ).

thf(zip_derived_cl10,plain,
    x = y,
    inference('sup-',[status(thm)],[zip_derived_cl0,zip_derived_cl8]) ).

thf(zip_derived_cl3,plain,
    ! [X0: nat,X1: nat] :
      ( ( X1 != X0 )
      | ~ ( less @ X1 @ X0 ) ),
    inference(cnf,[status(esa)],[satz10b]) ).

thf(zip_derived_cl7,plain,
    ! [X0: nat] :
      ~ ( less @ X0 @ X0 ),
    inference(simplify,[status(thm)],[zip_derived_cl3]) ).

thf(zip_derived_cl12,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl5,zip_derived_cl10,zip_derived_cl7]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : NUM652^1 : TPTP v8.1.2. Released v3.7.0.
% 0.13/0.13  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.qVyYVgcnXI true
% 0.13/0.35  % Computer : n009.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit : 300
% 0.13/0.35  % WCLimit  : 300
% 0.13/0.35  % DateTime : Fri Aug 25 15:46:36 EDT 2023
% 0.13/0.35  % CPUTime  : 
% 0.13/0.35  % Running portfolio for 300 s
% 0.13/0.35  % File         : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.35  % Number of cores: 8
% 0.13/0.35  % Python version: Python 3.6.8
% 0.13/0.35  % Running in HO mode
% 0.20/0.68  % Total configuration time : 828
% 0.20/0.68  % Estimated wc time : 1656
% 0.20/0.68  % Estimated cpu time (8 cpus) : 207.0
% 0.54/0.71  % /export/starexec/sandbox/solver/bin/lams/40_c.s.sh running for 80s
% 0.54/0.74  % /export/starexec/sandbox/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.54/0.74  % Solved by lams/40_c.s.sh.
% 0.54/0.74  % done 7 iterations in 0.007s
% 0.54/0.74  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.54/0.74  % SZS output start Refutation
% See solution above
% 0.54/0.74  
% 0.54/0.74  
% 0.54/0.74  % Terminating...
% 0.55/0.78  % Runner terminated.
% 0.55/0.78  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------