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Zipperpin---2.1.9999.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : MGT080+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.p7B6JOhA3K true

% Computer : n027.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 06:25:21 AM UTC 2026

% Result   : Theorem 0.48s 0.87s
% Output   : Refutation 0.48s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    6
% Syntax   : Number of formulae    :   28 (  13 unt;   0 typ;   0 def)
%            Number of atoms       :   94 (  47 equ;   0 cnn)
%            Maximal formula atoms :   36 (   3 avg)
%            Number of connectives :  224 (  49   ~;  12   |;  51   &; 109   @)
%                                         (   2 <=>;   1  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   37 (   7 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   17 (  15 usr;  11 con; 0-3 aty)
%            Number of variables   :   30 (   0   ^;  22   !;   8   ?;  30   :)

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

thf(v150_type,type,
    v150: $i ).

thf(v600_type,type,
    v600: $i ).

thf(in_open_type,type,
    in_open: $i > $i > $i > $o ).

thf(v32_type,type,
    v32: $i ).

thf(v100_type,type,
    v100: $i ).

thf(v300_type,type,
    v300: $i ).

thf(v8_type,type,
    v8: $i ).

thf(in_closed_type,type,
    in_closed: $i > $i > $i > $o ).

thf(v800_type,type,
    v800: $i ).

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

thf(sk__3_type,type,
    sk__3: $i ).

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

thf(v500_type,type,
    v500: $i ).

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

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

thf(zip_derived_cl11,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( leq @ X0 @ X1 )
      | ~ ( in_closed @ X1 @ X0 @ X2 ) ),
    inference(cnf,[status(esa)],[in_closed]) ).

thf(odrl365,conjecture,
    ~ ? [X: $i,Y: $i,Z: $i,W: $i] :
        ( ( leq @ v150 @ W )
        & ( in_lopen @ W @ v0 @ v300 )
        & ( in_lopen @ Z @ v0 @ v32 )
        & ( leq @ v8 @ Z )
        & ( in_open @ Y @ v0 @ v500 )
        & ( less @ v100 @ Y )
        & ( in_closed @ X @ v800 @ v800 )
        & ( in_closed @ X @ v600 @ v600 ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ? [X: $i,Y: $i,Z: $i,W: $i] :
      ( ( leq @ v150 @ W )
      & ( in_lopen @ W @ v0 @ v300 )
      & ( in_lopen @ Z @ v0 @ v32 )
      & ( leq @ v8 @ Z )
      & ( in_open @ Y @ v0 @ v500 )
      & ( less @ v100 @ Y )
      & ( in_closed @ X @ v800 @ v800 )
      & ( in_closed @ X @ v600 @ v600 ) ),
    inference('cnf.neg',[status(esa)],[odrl365]) ).

thf(zip_derived_cl129,plain,
    in_closed @ sk__3 @ v800 @ v800,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl589,plain,
    leq @ v800 @ sk__3,
    inference('sup+',[status(thm)],[zip_derived_cl11,zip_derived_cl129]) ).

thf(leq_antisym,axiom,
    ! [X: $i,Y: $i] :
      ( ( ( leq @ X @ Y )
        & ( leq @ Y @ X ) )
     => ( X = Y ) ) ).

thf(zip_derived_cl6,plain,
    ! [X0: $i,X1: $i] :
      ( ( X1 = X0 )
      | ~ ( leq @ X0 @ X1 )
      | ~ ( leq @ X1 @ X0 ) ),
    inference(cnf,[status(esa)],[leq_antisym]) ).

thf(zip_derived_cl613,plain,
    ( ~ ( leq @ sk__3 @ v800 )
    | ( sk__3 = v800 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl589,zip_derived_cl6]) ).

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

thf(zip_derived_cl4,plain,
    ! [X0: $i,X1: $i] :
      ( ( leq @ X0 @ X1 )
      | ~ ( less @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[leq_def]) ).

thf(zip_derived_cl622,plain,
    ( ( sk__3 = v800 )
    | ~ ( less @ sk__3 @ v800 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl613,zip_derived_cl4]) ).

thf(zip_derived_cl11_001,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( leq @ X0 @ X1 )
      | ~ ( in_closed @ X1 @ X0 @ X2 ) ),
    inference(cnf,[status(esa)],[in_closed]) ).

thf(zip_derived_cl128,plain,
    in_closed @ sk__3 @ v600 @ v600,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl588,plain,
    leq @ v600 @ sk__3,
    inference('sup+',[status(thm)],[zip_derived_cl11,zip_derived_cl128]) ).

thf(zip_derived_cl6_002,plain,
    ! [X0: $i,X1: $i] :
      ( ( X1 = X0 )
      | ~ ( leq @ X0 @ X1 )
      | ~ ( leq @ X1 @ X0 ) ),
    inference(cnf,[status(esa)],[leq_antisym]) ).

thf(zip_derived_cl593,plain,
    ( ~ ( leq @ sk__3 @ v600 )
    | ( sk__3 = v600 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl588,zip_derived_cl6]) ).

thf(zip_derived_cl12,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( leq @ X0 @ X1 )
      | ~ ( in_closed @ X0 @ X2 @ X1 ) ),
    inference(cnf,[status(esa)],[in_closed]) ).

thf(zip_derived_cl128_003,plain,
    in_closed @ sk__3 @ v600 @ v600,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl618,plain,
    leq @ sk__3 @ v600,
    inference('sup+',[status(thm)],[zip_derived_cl12,zip_derived_cl128]) ).

thf(zip_derived_cl640,plain,
    sk__3 = v600,
    inference(demod,[status(thm)],[zip_derived_cl593,zip_derived_cl618]) ).

thf(zip_derived_cl640_004,plain,
    sk__3 = v600,
    inference(demod,[status(thm)],[zip_derived_cl593,zip_derived_cl618]) ).

thf(ord_v600_v800,axiom,
    less @ v600 @ v800 ).

thf(zip_derived_cl89,plain,
    less @ v600 @ v800,
    inference(cnf,[status(esa)],[ord_v600_v800]) ).

thf(zip_derived_cl655,plain,
    v600 = v800,
    inference(demod,[status(thm)],[zip_derived_cl622,zip_derived_cl640,zip_derived_cl640,zip_derived_cl89]) ).

thf(distinct,axiom,
    ( ( v600 != v800 )
    & ( v500 != v800 )
    & ( v500 != v600 )
    & ( v300 != v800 )
    & ( v300 != v600 )
    & ( v300 != v500 )
    & ( v150 != v800 )
    & ( v150 != v600 )
    & ( v150 != v500 )
    & ( v150 != v300 )
    & ( v100 != v800 )
    & ( v100 != v600 )
    & ( v100 != v500 )
    & ( v100 != v300 )
    & ( v100 != v150 )
    & ( v32 != v800 )
    & ( v32 != v600 )
    & ( v32 != v500 )
    & ( v32 != v300 )
    & ( v32 != v150 )
    & ( v32 != v100 )
    & ( v8 != v800 )
    & ( v8 != v600 )
    & ( v8 != v500 )
    & ( v8 != v300 )
    & ( v8 != v150 )
    & ( v8 != v100 )
    & ( v8 != v32 )
    & ( v0 != v800 )
    & ( v0 != v600 )
    & ( v0 != v500 )
    & ( v0 != v300 )
    & ( v0 != v150 )
    & ( v0 != v100 )
    & ( v0 != v32 )
    & ( v0 != v8 ) ) ).

thf(zip_derived_cl90,plain,
    v600 != v800,
    inference(cnf,[status(esa)],[distinct]) ).

thf(zip_derived_cl656,plain,
    $false,
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl655,zip_derived_cl90]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : MGT080+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.p7B6JOhA3K true
% 0.10/0.35  % Computer : n027.cluster.edu
% 0.10/0.35  % Model    : x86_64 x86_64
% 0.10/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.35  % Memory   : 8046.5625MB
% 0.10/0.35  % OS       : Linux 6.8.0-71-generic
% 0.10/0.35  % CPULimit : 300
% 0.10/0.35  % WCLimit  : 300
% 0.10/0.35  % DateTime : Mon Sep  7 14:19:00 UTC 2026
% 0.10/0.35  % CPUTime  : 
% 0.10/0.35  % Running portfolio for 300 s
% 0.10/0.35  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.36  % Number of cores: 8
% 0.13/0.36  % Python version: Python 3.12.3
% 0.13/0.36  % Running in FO mode
% 0.46/0.63  % Total configuration time : 435
% 0.46/0.63  % Estimated wc time : 1092
% 0.46/0.63  % Estimated cpu time (7 cpus) : 156.0
% 0.46/0.77  % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.46/0.77  % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.46/0.78  % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.46/0.78  % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.46/0.78  % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.46/0.78  % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.46/0.78  % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 0.48/0.87  % Solved by fo/fo3_bce.sh.
% 0.48/0.87  % BCE start: 134
% 0.48/0.87  % BCE eliminated: 10
% 0.48/0.87  % PE start: 124
% 0.48/0.87  logic: eq
% 0.48/0.87  % PE eliminated: 9
% 0.48/0.87  % done 140 iterations in 0.072s
% 0.48/0.87  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.48/0.87  % SZS output start Refutation
% See solution above
% 0.48/0.87  
% 0.48/0.87  
% 0.48/0.87  % Terminating...
% 1.76/0.91  % Runner terminated.
% 1.76/0.93  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------