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Zipperpin---2.1.9999.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : MGT082+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.9oH8n4cGha true

% Computer : n001.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 0.49s 0.82s
% Output   : Refutation 0.49s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   11
%            Number of leaves      :    6
% Syntax   : Number of formulae    :   28 (  14 unt;   0 typ;   0 def)
%            Number of atoms       :   74 (  29 equ;   0 cnn)
%            Maximal formula atoms :   21 (   2 avg)
%            Number of connectives :  185 (  35   ~;  11   |;  32   &; 104   @)
%                                         (   2 <=>;   1  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   22 (   6 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   15 (  13 usr;   9 con; 0-3 aty)
%            Number of variables   :   28 (   0   ^;  22   !;   6   ?;  28   :)

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

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

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

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

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

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

thf(v16_type,type,
    v16: $i ).

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

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

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

thf(v601_type,type,
    v601: $i ).

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

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

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(odrl411,conjecture,
    ~ ? [X: $i,Y: $i,Z: $i] :
        ( ( in_lopen @ Z @ v0 @ v32 )
        & ( leq @ v16 @ Z )
        & ( in_open @ Y @ v0 @ v500 )
        & ( less @ v300 @ Y )
        & ( in_closed @ X @ v601 @ v601 )
        & ( in_closed @ X @ v600 @ v600 ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ? [X: $i,Y: $i,Z: $i] :
      ( ( in_lopen @ Z @ v0 @ v32 )
      & ( leq @ v16 @ Z )
      & ( in_open @ Y @ v0 @ v500 )
      & ( less @ v300 @ Y )
      & ( in_closed @ X @ v601 @ v601 )
      & ( in_closed @ X @ v600 @ v600 ) ),
    inference('cnf.neg',[status(esa)],[odrl411]) ).

thf(zip_derived_cl97,plain,
    in_closed @ sk__3 @ v601 @ v601,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl96,plain,
    in_closed @ sk__3 @ v600 @ v600,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

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

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_cl505,plain,
    leq @ sk__3 @ v600,
    inference('s_sup-',[status(thm)],[zip_derived_cl96,zip_derived_cl12]) ).

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_cl635,plain,
    ( ( v600 = sk__3 )
    | ~ ( leq @ v600 @ sk__3 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl505,zip_derived_cl6]) ).

thf(zip_derived_cl96_001,plain,
    in_closed @ sk__3 @ v600 @ v600,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

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(zip_derived_cl504,plain,
    leq @ v600 @ sk__3,
    inference('s_sup-',[status(thm)],[zip_derived_cl96,zip_derived_cl11]) ).

thf(zip_derived_cl639,plain,
    v600 = sk__3,
    inference(demod,[status(thm)],[zip_derived_cl635,zip_derived_cl504]) ).

thf(zip_derived_cl641,plain,
    in_closed @ v600 @ v601 @ v601,
    inference(demod,[status(thm)],[zip_derived_cl97,zip_derived_cl639]) ).

thf(zip_derived_cl11_002,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( leq @ X0 @ X1 )
      | ~ ( in_closed @ X1 @ X0 @ X2 ) ),
    inference(cnf,[status(esa)],[in_closed]) ).

thf(zip_derived_cl710,plain,
    leq @ v601 @ v600,
    inference('s_sup-',[status(thm)],[zip_derived_cl641,zip_derived_cl11]) ).

thf(zip_derived_cl6_003,plain,
    ! [X0: $i,X1: $i] :
      ( ( X1 = X0 )
      | ~ ( leq @ X0 @ X1 )
      | ~ ( leq @ X1 @ X0 ) ),
    inference(cnf,[status(esa)],[leq_antisym]) ).

thf(zip_derived_cl735,plain,
    ( ( v600 = v601 )
    | ~ ( leq @ v600 @ v601 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl710,zip_derived_cl6]) ).

thf(distinct,axiom,
    ( ( v600 != v601 )
    & ( v500 != v601 )
    & ( v500 != v600 )
    & ( v300 != v601 )
    & ( v300 != v600 )
    & ( v300 != v500 )
    & ( v32 != v601 )
    & ( v32 != v600 )
    & ( v32 != v500 )
    & ( v32 != v300 )
    & ( v16 != v601 )
    & ( v16 != v600 )
    & ( v16 != v500 )
    & ( v16 != v300 )
    & ( v16 != v32 )
    & ( v0 != v601 )
    & ( v0 != v600 )
    & ( v0 != v500 )
    & ( v0 != v300 )
    & ( v0 != v32 )
    & ( v0 != v16 ) ) ).

thf(zip_derived_cl73,plain,
    v600 != v601,
    inference(cnf,[status(esa)],[distinct]) ).

thf(zip_derived_cl740,plain,
    ~ ( leq @ v600 @ v601 ),
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl735,zip_derived_cl73]) ).

thf(zip_derived_cl771,plain,
    ~ ( less @ v600 @ v601 ),
    inference('s_sup-',[status(thm)],[zip_derived_cl4,zip_derived_cl740]) ).

thf(ord_v600_v601,axiom,
    less @ v600 @ v601 ).

thf(zip_derived_cl72,plain,
    less @ v600 @ v601,
    inference(cnf,[status(esa)],[ord_v600_v601]) ).

thf(zip_derived_cl772,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl771,zip_derived_cl72]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : MGT082+1 : TPTP v9.3.1. Bugfixed v9.3.1.
% 0.00/0.04  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.9oH8n4cGha true
% 0.12/0.37  % Computer : n001.cluster.edu
% 0.12/0.37  % Model    : x86_64 x86_64
% 0.12/0.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.37  % Memory   : 8046.5625MB
% 0.12/0.37  % OS       : Linux 6.8.0-71-generic
% 0.12/0.37  % CPULimit : 300
% 0.12/0.37  % WCLimit  : 300
% 0.12/0.37  % DateTime : Mon Sep  7 14:22:37 UTC 2026
% 0.12/0.37  % CPUTime  : 
% 0.12/0.37  % Running portfolio for 300 s
% 0.12/0.37  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.38  % Number of cores: 8
% 0.12/0.38  % Python version: Python 3.12.3
% 0.12/0.38  % Running in FO mode
% 0.45/0.66  % Total configuration time : 435
% 0.45/0.66  % Estimated wc time : 1092
% 0.45/0.66  % Estimated cpu time (7 cpus) : 156.0
% 0.48/0.73  % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.49/0.80  % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.49/0.80  % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.49/0.80  % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.49/0.80  % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.49/0.80  % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.49/0.80  % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 0.49/0.82  % Solved by fo/fo6_bce.sh.
% 0.49/0.82  % BCE start: 100
% 0.49/0.82  % BCE eliminated: 8
% 0.49/0.82  % PE start: 92
% 0.49/0.82  logic: eq
% 0.49/0.82  % PE eliminated: 10
% 0.49/0.82  % done 157 iterations in 0.065s
% 0.49/0.82  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.49/0.82  % SZS output start Refutation
% See solution above
% 0.49/0.82  
% 0.49/0.82  
% 0.49/0.82  % Terminating...
% 0.49/0.86  % Runner terminated.
% 0.49/0.87  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------