%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : NUM667^1 : 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.2qWdPetdxo true

% Computer : n013.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 12:43:15 EDT 2023

% Result   : Theorem 0.22s 0.75s
% Output   : Refutation 0.22s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :    9
% Syntax   : Number of formulae    :   27 (   8 unt;   5 typ;   0 def)
%            Number of atoms       :   41 (  19 equ;   0 cnn)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :   75 (  14   ~;  12   |;   0   &;  42   @)
%                                         (   0 <=>;   7  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   4 avg)
%            Number of types       :    2 (   1 usr)
%            Number of type conns  :    2 (   2   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    6 (   4 usr;   4 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(z_type,type,
    z: nat ).

thf(x_type,type,
    x: nat ).

thf(k,axiom,
    ( ~ ( less @ y @ z )
   => ( y = z ) ) ).

thf(zip_derived_cl1,plain,
    ( ( y = z )
    | ( less @ y @ z ) ),
    inference(cnf,[status(esa)],[k]) ).

thf(zip_derived_cl1_001,plain,
    ( ( y = z )
    | ( less @ y @ z ) ),
    inference(cnf,[status(esa)],[k]) ).

thf(l,axiom,
    ( ~ ( less @ x @ y )
   => ( x = y ) ) ).

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

thf(satz16a,axiom,
    ! [Xx: nat,Xy: nat,Xz: nat] :
      ( ( ~ ( less @ Xx @ Xy )
       => ( Xx = Xy ) )
     => ( ( less @ Xy @ Xz )
       => ( less @ Xx @ Xz ) ) ) ).

thf(zip_derived_cl4,plain,
    ! [X0: nat,X1: nat,X2: nat] :
      ( ~ ( less @ X0 @ X1 )
      | ( less @ X0 @ X2 )
      | ~ ( less @ X1 @ X2 ) ),
    inference(cnf,[status(esa)],[satz16a]) ).

thf(zip_derived_cl10,plain,
    ! [X0: nat] :
      ( ( x = y )
      | ~ ( less @ y @ X0 )
      | ( less @ x @ X0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl0,zip_derived_cl4]) ).

thf(zip_derived_cl17,plain,
    ( ( y = z )
    | ( less @ x @ z )
    | ( x = y ) ),
    inference('sup-',[status(thm)],[zip_derived_cl1,zip_derived_cl10]) ).

thf(satz17,conjecture,
    ( ~ ( less @ x @ z )
   => ( x = z ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ( ~ ( less @ x @ z )
     => ( x = z ) ),
    inference('cnf.neg',[status(esa)],[satz17]) ).

thf(zip_derived_cl7,plain,
    ~ ( less @ x @ z ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl19,plain,
    ( ( x = y )
    | ( y = z ) ),
    inference(clc,[status(thm)],[zip_derived_cl17,zip_derived_cl7]) ).

thf(zip_derived_cl7_002,plain,
    ~ ( less @ x @ z ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl22,plain,
    ( ~ ( less @ x @ y )
    | ( x = y ) ),
    inference('sup-',[status(thm)],[zip_derived_cl19,zip_derived_cl7]) ).

thf(zip_derived_cl0_003,plain,
    ( ( x = y )
    | ( less @ x @ y ) ),
    inference(cnf,[status(esa)],[l]) ).

thf(zip_derived_cl25,plain,
    x = y,
    inference(clc,[status(thm)],[zip_derived_cl22,zip_derived_cl0]) ).

thf(zip_derived_cl25_004,plain,
    x = y,
    inference(clc,[status(thm)],[zip_derived_cl22,zip_derived_cl0]) ).

thf(zip_derived_cl7_005,plain,
    ~ ( less @ x @ z ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl26,plain,
    x = z,
    inference(demod,[status(thm)],[zip_derived_cl1,zip_derived_cl25,zip_derived_cl25,zip_derived_cl7]) ).

thf(zip_derived_cl8,plain,
    x != z,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl27,plain,
    $false,
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl26,zip_derived_cl8]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem  : NUM667^1 : 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.2qWdPetdxo true
% 0.18/0.35  % Computer : n013.cluster.edu
% 0.18/0.35  % Model    : x86_64 x86_64
% 0.18/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.35  % Memory   : 8042.1875MB
% 0.18/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.18/0.35  % CPULimit : 300
% 0.18/0.35  % WCLimit  : 300
% 0.18/0.35  % DateTime : Fri Aug 25 16:20:32 EDT 2023
% 0.18/0.36  % CPUTime  : 
% 0.18/0.36  % Running portfolio for 300 s
% 0.18/0.36  % File         : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.36  % Number of cores: 8
% 0.18/0.36  % Python version: Python 3.6.8
% 0.18/0.36  % Running in HO mode
% 0.22/0.65  % Total configuration time : 828
% 0.22/0.65  % Estimated wc time : 1656
% 0.22/0.65  % Estimated cpu time (8 cpus) : 207.0
% 0.22/0.71  % /export/starexec/sandbox/solver/bin/lams/40_c.s.sh running for 80s
% 0.22/0.75  % Solved by lams/40_c.s.sh.
% 0.22/0.75  % done 9 iterations in 0.009s
% 0.22/0.75  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.22/0.75  % SZS output start Refutation
% See solution above
% 0.22/0.75  
% 0.22/0.75  
% 0.22/0.75  % Terminating...
% 1.39/0.85  % Runner terminated.
% 1.39/0.87  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------