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Zipperpin---2.1.9999.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : MGT088+1 : TPTP v9.3.1. Bugfixed v9.3.1.
% Transfm  : none
% Format   : tptp:raw
% Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.aCr2zaC9ev true

% Computer : n002.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8046.5625MB
% OS       : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Tue Sep  8 06:25:22 AM UTC 2026

% Result   : Theorem 0.52s 0.80s
% Output   : Refutation 0.52s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    6
% Syntax   : Number of formulae    :   19 (   7 unt;   0 typ;   0 def)
%            Number of atoms       :   37 (   2 equ;   0 cnn)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :  106 (  15   ~;  11   |;   4   &;  73   @)
%                                         (   2 <=>;   1  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   6 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    8 (   6 usr;   4 con; 0-3 aty)
%            Number of variables   :   23 (   0   ^;  21   !;   2   ?;  23   :)

% Comments : 
%------------------------------------------------------------------------------
thf(leq_type,type,
    leq: $i > $i > $o ).

thf(v200_type,type,
    v200: $i ).

thf(v0_type,type,
    v0: $i ).

thf(v400_type,type,
    v400: $i ).

thf(in_lopen_type,type,
    in_lopen: $i > $i > $i > $o ).

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

thf(ord_v200_v400,axiom,
    less @ v200 @ v400 ).

thf(zip_derived_cl54,plain,
    less @ v200 @ v400,
    inference(cnf,[status(esa)],[ord_v200_v400]) ).

thf(in_lopen,axiom,
    ! [X: $i,A: $i,B: $i] :
      ( ( in_lopen @ X @ A @ B )
    <=> ( ( less @ A @ X )
        & ( leq @ X @ B ) ) ) ).

thf(zip_derived_cl18,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( in_lopen @ X0 @ X1 @ X2 )
      | ~ ( leq @ X0 @ X2 )
      | ~ ( less @ X1 @ X0 ) ),
    inference(cnf,[status(esa)],[in_lopen]) ).

thf(odrl509,conjecture,
    ? [X: $i] :
      ( ( in_lopen @ X @ v0 @ v400 )
      & ( less @ v200 @ X ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ? [X: $i] :
        ( ( in_lopen @ X @ v0 @ v400 )
        & ( less @ v200 @ X ) ),
    inference('cnf.neg',[status(esa)],[odrl509]) ).

thf(zip_derived_cl63,plain,
    ! [X0: $i] :
      ( ~ ( in_lopen @ X0 @ v0 @ v400 )
      | ~ ( less @ v200 @ X0 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl304,plain,
    ! [X0: $i] :
      ( ~ ( less @ v0 @ X0 )
      | ~ ( leq @ X0 @ v400 )
      | ~ ( less @ v200 @ X0 ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl18,zip_derived_cl63]) ).

thf(ord_v0_v200,axiom,
    less @ v0 @ v200 ).

thf(zip_derived_cl51,plain,
    less @ v0 @ v200,
    inference(cnf,[status(esa)],[ord_v0_v200]) ).

thf(transitive,axiom,
    ! [X: $i,Y: $i,Z: $i] :
      ( ( ( less @ X @ Y )
        & ( less @ Y @ Z ) )
     => ( less @ X @ Z ) ) ).

thf(zip_derived_cl1,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( less @ X0 @ X1 )
      | ~ ( less @ X1 @ X2 )
      | ( less @ X0 @ X2 ) ),
    inference(cnf,[status(esa)],[transitive]) ).

thf(zip_derived_cl317,plain,
    ! [X0: $i] :
      ( ~ ( less @ v200 @ X0 )
      | ( less @ v0 @ X0 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl51,zip_derived_cl1]) ).

thf(zip_derived_cl355,plain,
    ! [X0: $i] :
      ( ~ ( less @ v200 @ X0 )
      | ~ ( leq @ X0 @ v400 ) ),
    inference(clc,[status(thm)],[zip_derived_cl304,zip_derived_cl317]) ).

thf(zip_derived_cl358,plain,
    ~ ( leq @ v400 @ v400 ),
    inference('s_sup-',[status(thm)],[zip_derived_cl54,zip_derived_cl355]) ).

thf(leq_def,axiom,
    ! [X: $i,Y: $i] :
      ( ( leq @ X @ Y )
    <=> ( ( less @ X @ Y )
        | ( X = Y ) ) ) ).

thf(zip_derived_cl5,plain,
    ! [X0: $i,X1: $i] :
      ( ( leq @ X0 @ X1 )
      | ( X0 != X1 ) ),
    inference(cnf,[status(esa)],[leq_def]) ).

thf(zip_derived_cl324,plain,
    ! [X0: $i] : ( leq @ X0 @ X0 ),
    inference(eq_res,[status(thm)],[zip_derived_cl5]) ).

thf(zip_derived_cl360,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl358,zip_derived_cl324]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : MGT088+1 : TPTP v9.3.1. Bugfixed v9.3.1.
% 0.00/0.05  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.aCr2zaC9ev true
% 0.10/0.37  % Computer : n002.cluster.edu
% 0.10/0.37  % Model    : x86_64 x86_64
% 0.10/0.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37  % Memory   : 8046.5625MB
% 0.10/0.37  % OS       : Linux 6.8.0-71-generic
% 0.10/0.37  % CPULimit : 300
% 0.10/0.37  % WCLimit  : 300
% 0.10/0.37  % DateTime : Mon Sep  7 14:24:22 UTC 2026
% 0.10/0.37  % CPUTime  : 
% 0.10/0.37  % Running portfolio for 300 s
% 0.10/0.37  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.38  % Number of cores: 8
% 0.10/0.38  % Python version: Python 3.12.3
% 0.10/0.38  % Running in FO mode
% 0.46/0.69  % Total configuration time : 435
% 0.46/0.69  % Estimated wc time : 1092
% 0.46/0.69  % Estimated cpu time (7 cpus) : 156.0
% 0.51/0.76  % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.52/0.80  % Solved by fo/fo6_bce.sh.
% 0.52/0.80  % BCE start: 64
% 0.52/0.80  % BCE eliminated: 5
% 0.52/0.80  % PE start: 59
% 0.52/0.80  logic: eq
% 0.52/0.80  % PE eliminated: 12
% 0.52/0.80  % done 42 iterations in 0.025s
% 0.52/0.80  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.52/0.80  % SZS output start Refutation
% See solution above
% 0.52/0.80  
% 0.52/0.80  
% 0.52/0.80  % Terminating...
% 0.52/0.83  % Runner terminated.
% 0.52/0.84  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------