TSTP Solution File: NUM698^1 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : NUM698^1 : TPTP v8.1.2. Released v3.7.0.
% Transfm  : NO INFORMATION
% Format   : NO INFORMATION
% Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.OytioXhHjJ true

% Computer : n002.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 12:43:33 EDT 2023

% Result   : Theorem 0.20s 0.74s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :   13
% Syntax   : Number of formulae    :   23 (   4 unt;   9 typ;   0 def)
%            Number of atoms       :   28 (   0 equ;   0 cnn)
%            Maximal formula atoms :    3 (   2 avg)
%            Number of connectives :   77 (   7   ~;   4   |;   0   &;  64   @)
%                                         (   0 <=>;   2  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   10 (   6 avg)
%            Number of types       :    2 (   1 usr)
%            Number of type conns  :   11 (  11   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    9 (   8 usr;   4 con; 0-3 aty)
%            Number of variables   :   16 (   4   ^;  12   !;   0   ?;  16   :)

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

thf(diffprop_type,type,
    diffprop: nat > nat > nat > $o ).

thf(n_1_type,type,
    n_1: nat ).

thf(y_type,type,
    y: nat ).

thf(lessis_type,type,
    lessis: nat > nat > $o ).

thf(moreis_type,type,
    moreis: nat > nat > $o ).

thf(pl_type,type,
    pl: nat > nat > nat ).

thf(some_type,type,
    some: ( nat > $o ) > $o ).

thf(x_type,type,
    x: nat ).

thf(satz25,axiom,
    ! [Xx: nat,Xy: nat] :
      ( ( some
        @ ^ [Xu: nat] : ( diffprop @ Xy @ Xx @ Xu ) )
     => ( moreis @ Xy @ ( pl @ Xx @ n_1 ) ) ) ).

thf(zip_derived_cl2,plain,
    ! [X0: nat,X1: nat] :
      ( ( moreis @ X0 @ ( pl @ X1 @ n_1 ) )
      | ~ ( some
          @ ^ [Y0: nat] : ( diffprop @ X0 @ X1 @ Y0 ) ) ),
    inference(cnf,[status(esa)],[satz25]) ).

thf(zip_derived_cl5,plain,
    ! [X0: nat,X1: nat] :
      ( ( moreis @ X0 @ ( pl @ X1 @ n_1 ) )
      | ~ ( some @ ( diffprop @ X0 @ X1 ) ) ),
    inference(ho_norm,[status(thm)],[zip_derived_cl2]) ).

thf(satz13,axiom,
    ! [Xx: nat,Xy: nat] :
      ( ( moreis @ Xx @ Xy )
     => ( lessis @ Xy @ Xx ) ) ).

thf(zip_derived_cl1,plain,
    ! [X0: nat,X1: nat] :
      ( ( lessis @ X0 @ X1 )
      | ~ ( moreis @ X1 @ X0 ) ),
    inference(cnf,[status(esa)],[satz13]) ).

thf(zip_derived_cl6,plain,
    ! [X0: nat,X1: nat] :
      ( ~ ( some @ ( diffprop @ X1 @ X0 ) )
      | ( lessis @ ( pl @ X0 @ n_1 ) @ X1 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl5,zip_derived_cl1]) ).

thf(satz25b,conjecture,
    lessis @ ( pl @ y @ n_1 ) @ x ).

thf(zf_stmt_0,negated_conjecture,
    ~ ( lessis @ ( pl @ y @ n_1 ) @ x ),
    inference('cnf.neg',[status(esa)],[satz25b]) ).

thf(zip_derived_cl3,plain,
    ~ ( lessis @ ( pl @ y @ n_1 ) @ x ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl10,plain,
    ~ ( some @ ( diffprop @ x @ y ) ),
    inference('sup-',[status(thm)],[zip_derived_cl6,zip_derived_cl3]) ).

thf(l,axiom,
    ( some
    @ ^ [Xv: nat] : ( diffprop @ x @ y @ Xv ) ) ).

thf(zip_derived_cl0,plain,
    ( some
    @ ^ [Y0: nat] : ( diffprop @ x @ y @ Y0 ) ),
    inference(cnf,[status(esa)],[l]) ).

thf(zip_derived_cl4,plain,
    some @ ( diffprop @ x @ y ),
    inference(ho_norm,[status(thm)],[zip_derived_cl0]) ).

thf(zip_derived_cl12,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl10,zip_derived_cl4]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12  % Problem  : NUM698^1 : TPTP v8.1.2. Released v3.7.0.
% 0.11/0.13  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.OytioXhHjJ true
% 0.14/0.34  % Computer : n002.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 : Fri Aug 25 16:47:17 EDT 2023
% 0.14/0.34  % CPUTime  : 
% 0.14/0.34  % Running portfolio for 300 s
% 0.14/0.34  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.14/0.34  % Number of cores: 8
% 0.14/0.34  % Python version: Python 3.6.8
% 0.14/0.34  % Running in HO mode
% 0.20/0.65  % Total configuration time : 828
% 0.20/0.65  % Estimated wc time : 1656
% 0.20/0.65  % Estimated cpu time (8 cpus) : 207.0
% 0.20/0.69  % /export/starexec/sandbox2/solver/bin/lams/40_c.s.sh running for 80s
% 0.20/0.71  % /export/starexec/sandbox2/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.20/0.73  % /export/starexec/sandbox2/solver/bin/lams/40_c_ic.sh running for 80s
% 0.20/0.73  % /export/starexec/sandbox2/solver/bin/lams/15_e_short1.sh running for 30s
% 0.20/0.74  % Solved by lams/40_c.s.sh.
% 0.20/0.74  % done 4 iterations in 0.008s
% 0.20/0.74  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.20/0.74  % SZS output start Refutation
% See solution above
% 0.20/0.74  
% 0.20/0.74  
% 0.20/0.74  % Terminating...
% 1.56/0.85  % Runner terminated.
% 1.56/0.86  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------