%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : NUM701^1 : 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.sYwbi9rkcb 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 12:43:35 EDT 2023

% Result   : Theorem 0.20s 0.72s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :   12
% Syntax   : Number of formulae    :   20 (   9 unt;   8 typ;   0 def)
%            Number of atoms       :   15 (   2 equ;   0 cnn)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :   44 (   4   ~;   2   |;   0   &;  37   @)
%                                         (   0 <=>;   1  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   4 avg)
%            Number of types       :    2 (   1 usr)
%            Number of type conns  :    7 (   7   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    9 (   7 usr;   4 con; 0-2 aty)
%            Number of variables   :    8 (   0   ^;   8   !;   0   ?;   8   :)

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

thf(suc_type,type,
    suc: nat > nat ).

thf(y_type,type,
    y: nat ).

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

thf(n_1_type,type,
    n_1: nat ).

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

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

thf(x_type,type,
    x: nat ).

thf(satz26a,conjecture,
    lessis @ y @ x ).

thf(zf_stmt_0,negated_conjecture,
    ~ ( lessis @ y @ x ),
    inference('cnf.neg',[status(esa)],[satz26a]) ).

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

thf(satz26,axiom,
    ! [Xx: nat,Xy: nat] :
      ( ( less @ Xy @ ( pl @ Xx @ n_1 ) )
     => ( lessis @ Xy @ Xx ) ) ).

thf(zip_derived_cl1,plain,
    ! [X0: nat,X1: nat] :
      ( ( lessis @ X0 @ X1 )
      | ~ ( less @ X0 @ ( pl @ X1 @ n_1 ) ) ),
    inference(cnf,[status(esa)],[satz26]) ).

thf(satz4e,axiom,
    ! [Xx: nat] :
      ( ( suc @ Xx )
      = ( pl @ Xx @ n_1 ) ) ).

thf(zip_derived_cl2,plain,
    ! [X0: nat] :
      ( ( suc @ X0 )
      = ( pl @ X0 @ n_1 ) ),
    inference(cnf,[status(esa)],[satz4e]) ).

thf(zip_derived_cl4,plain,
    ! [X0: nat,X1: nat] :
      ( ( lessis @ X0 @ X1 )
      | ~ ( less @ X0 @ ( suc @ X1 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl1,zip_derived_cl2]) ).

thf(l,axiom,
    less @ y @ ( suc @ x ) ).

thf(zip_derived_cl0,plain,
    less @ y @ ( suc @ x ),
    inference(cnf,[status(esa)],[l]) ).

thf(zip_derived_cl5,plain,
    lessis @ y @ x,
    inference('sup+',[status(thm)],[zip_derived_cl4,zip_derived_cl0]) ).

thf(zip_derived_cl9,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl3,zip_derived_cl5]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : NUM701^1 : TPTP v8.1.2. Released v3.7.0.
% 0.00/0.14  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.sYwbi9rkcb true
% 0.13/0.35  % Computer : n026.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 11:38:17 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
% 0.13/0.36  % Running in HO mode
% 0.20/0.64  % Total configuration time : 828
% 0.20/0.64  % Estimated wc time : 1656
% 0.20/0.64  % Estimated cpu time (8 cpus) : 207.0
% 0.20/0.69  % /export/starexec/sandbox/solver/bin/lams/40_c.s.sh running for 80s
% 0.20/0.72  % Solved by lams/40_c.s.sh.
% 0.20/0.72  % done 4 iterations in 0.007s
% 0.20/0.72  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.20/0.72  % SZS output start Refutation
% See solution above
% 0.20/0.72  
% 0.20/0.72  
% 0.20/0.72  % Terminating...
% 0.20/0.76  % Runner terminated.
% 0.20/0.77  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------