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Zipperpin---2.1.9999.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : MGT085+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.UekBHXHNM0 true

% Computer : n014.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 3.15s 1.14s
% Output   : Refutation 3.15s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   14
%            Number of leaves      :    9
% Syntax   : Number of formulae    :   61 (  19 unt;   0 typ;   0 def)
%            Number of atoms       :  140 (  32 equ;   0 cnn)
%            Maximal formula atoms :   10 (   2 avg)
%            Number of connectives :  377 (  65   ~;  57   |;  18   &; 233   @)
%                                         (   2 <=>;   2  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   13 (   6 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   13 (  11 usr;   9 con; 0-3 aty)
%            Number of variables   :   67 (   0   ^;  61   !;   6   ?;  67   :)

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

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

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

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

thf(v50_type,type,
    v50: $i ).

thf(sk__2_type,type,
    sk__2: $i ).

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

thf(sk__1_type,type,
    sk__1: $i ).

thf(sk__type,type,
    sk_: $i ).

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

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_cl2,plain,
    ! [X0: $i,X1: $i] :
      ( ( leq @ X0 @ X1 )
      | ( X0 != X1 ) ),
    inference(cnf,[status(esa)],[leq_def]) ).

thf(odrl445,conjecture,
    ~ ? [X: $i,Y: $i,Z: $i] :
        ( ( leq @ v100 @ Z )
        & ( leq @ v200 @ Y )
        & ( leq @ v400 @ X )
        & ( ( in_lopen @ Z @ v0 @ v50 )
          | ( in_lopen @ Y @ v0 @ v100 )
          | ( in_lopen @ X @ v0 @ v200 ) ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ? [X: $i,Y: $i,Z: $i] :
      ( ( leq @ v100 @ Z )
      & ( leq @ v200 @ Y )
      & ( leq @ v400 @ X )
      & ( ( in_lopen @ Z @ v0 @ v50 )
        | ( in_lopen @ Y @ v0 @ v100 )
        | ( in_lopen @ X @ v0 @ v200 ) ) ),
    inference('cnf.neg',[status(esa)],[odrl445]) ).

thf(zip_derived_cl39,plain,
    leq @ v200 @ sk__1,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

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

thf(zip_derived_cl7,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( leq @ X0 @ X1 )
      | ~ ( leq @ X1 @ X2 )
      | ( leq @ X0 @ X2 ) ),
    inference(cnf,[status(esa)],[leq_trans]) ).

thf(zip_derived_cl91,plain,
    ! [X0: $i] :
      ( ( leq @ v200 @ X0 )
      | ~ ( leq @ sk__1 @ X0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl39,zip_derived_cl7]) ).

thf(ord_v100_v200,axiom,
    less @ v100 @ v200 ).

thf(zip_derived_cl23,plain,
    less @ v100 @ v200,
    inference(cnf,[status(esa)],[ord_v100_v200]) ).

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

thf(zip_derived_cl7_001,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( leq @ X0 @ X1 )
      | ~ ( leq @ X1 @ X2 )
      | ( leq @ X0 @ X2 ) ),
    inference(cnf,[status(esa)],[leq_trans]) ).

thf(zip_derived_cl75,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( less @ X1 @ X0 )
      | ( leq @ X1 @ X2 )
      | ~ ( leq @ X0 @ X2 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl1,zip_derived_cl7]) ).

thf(zip_derived_cl651,plain,
    ! [X0: $i] :
      ( ~ ( leq @ v200 @ X0 )
      | ( leq @ v100 @ X0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl23,zip_derived_cl75]) ).

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

thf(zip_derived_cl3,plain,
    ! [X0: $i,X1: $i] :
      ( ( X1 = X0 )
      | ~ ( leq @ X0 @ X1 )
      | ~ ( leq @ X1 @ X0 ) ),
    inference(cnf,[status(esa)],[leq_antisym]) ).

thf(zip_derived_cl1681,plain,
    ! [X0: $i] :
      ( ~ ( leq @ v200 @ X0 )
      | ~ ( leq @ X0 @ v100 )
      | ( v100 = X0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl651,zip_derived_cl3]) ).

thf(zip_derived_cl2086,plain,
    ( ~ ( leq @ sk__1 @ v100 )
    | ( v100 = v200 )
    | ~ ( leq @ v200 @ v200 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl91,zip_derived_cl1681]) ).

thf(distinct,axiom,
    ( ( v200 != v400 )
    & ( v100 != v400 )
    & ( v100 != v200 )
    & ( v50 != v400 )
    & ( v50 != v200 )
    & ( v50 != v100 )
    & ( v0 != v400 )
    & ( v0 != v200 )
    & ( v0 != v100 )
    & ( v0 != v50 ) ) ).

thf(zip_derived_cl28,plain,
    v100 != v200,
    inference(cnf,[status(esa)],[distinct]) ).

thf(zip_derived_cl2098,plain,
    ( ~ ( leq @ sk__1 @ v100 )
    | ~ ( leq @ v200 @ v200 ) ),
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl2086,zip_derived_cl28]) ).

thf(zip_derived_cl37,plain,
    ( ( in_lopen @ sk__2 @ v0 @ v50 )
    | ( in_lopen @ sk__1 @ v0 @ v100 )
    | ( in_lopen @ sk_ @ v0 @ v200 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

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

thf(zip_derived_cl9,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( leq @ X0 @ X1 )
      | ~ ( in_lopen @ X0 @ X2 @ X1 ) ),
    inference(cnf,[status(esa)],[in_lopen]) ).

thf(zip_derived_cl215,plain,
    ( ( in_lopen @ sk_ @ v0 @ v200 )
    | ( in_lopen @ sk__1 @ v0 @ v100 )
    | ( leq @ sk__2 @ v50 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl37,zip_derived_cl9]) ).

thf(ord_v50_v100,axiom,
    less @ v50 @ v100 ).

thf(zip_derived_cl20,plain,
    less @ v50 @ v100,
    inference(cnf,[status(esa)],[ord_v50_v100]) ).

thf(zip_derived_cl36,plain,
    leq @ v100 @ sk__2,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl7_002,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( leq @ X0 @ X1 )
      | ~ ( leq @ X1 @ X2 )
      | ( leq @ X0 @ X2 ) ),
    inference(cnf,[status(esa)],[leq_trans]) ).

thf(zip_derived_cl66,plain,
    ! [X0: $i] :
      ( ( leq @ v100 @ X0 )
      | ~ ( leq @ sk__2 @ X0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl36,zip_derived_cl7]) ).

thf(zip_derived_cl3_003,plain,
    ! [X0: $i,X1: $i] :
      ( ( X1 = X0 )
      | ~ ( leq @ X0 @ X1 )
      | ~ ( leq @ X1 @ X0 ) ),
    inference(cnf,[status(esa)],[leq_antisym]) ).

thf(zip_derived_cl162,plain,
    ! [X0: $i] :
      ( ~ ( leq @ sk__2 @ X0 )
      | ~ ( leq @ X0 @ v100 )
      | ( v100 = X0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl66,zip_derived_cl3]) ).

thf(zip_derived_cl1_004,plain,
    ! [X0: $i,X1: $i] :
      ( ( leq @ X0 @ X1 )
      | ~ ( less @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[leq_def]) ).

thf(zip_derived_cl170,plain,
    ! [X0: $i] :
      ( ( v100 = X0 )
      | ~ ( leq @ sk__2 @ X0 )
      | ~ ( less @ X0 @ v100 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl162,zip_derived_cl1]) ).

thf(zip_derived_cl200,plain,
    ( ~ ( leq @ sk__2 @ v50 )
    | ( v100 = v50 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl20,zip_derived_cl170]) ).

thf(zip_derived_cl31,plain,
    v50 != v100,
    inference(cnf,[status(esa)],[distinct]) ).

thf(zip_derived_cl204,plain,
    ~ ( leq @ sk__2 @ v50 ),
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl200,zip_derived_cl31]) ).

thf(zip_derived_cl217,plain,
    ( ( in_lopen @ sk_ @ v0 @ v200 )
    | ( in_lopen @ sk__1 @ v0 @ v100 ) ),
    inference(demod,[status(thm)],[zip_derived_cl215,zip_derived_cl204]) ).

thf(zip_derived_cl9_005,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( leq @ X0 @ X1 )
      | ~ ( in_lopen @ X0 @ X2 @ X1 ) ),
    inference(cnf,[status(esa)],[in_lopen]) ).

thf(zip_derived_cl2573,plain,
    ( ( in_lopen @ sk__1 @ v0 @ v100 )
    | ( leq @ sk_ @ v200 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl217,zip_derived_cl9]) ).

thf(zip_derived_cl38,plain,
    leq @ v400 @ sk_,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl7_006,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( leq @ X0 @ X1 )
      | ~ ( leq @ X1 @ X2 )
      | ( leq @ X0 @ X2 ) ),
    inference(cnf,[status(esa)],[leq_trans]) ).

thf(zip_derived_cl84,plain,
    ! [X0: $i] :
      ( ( leq @ v400 @ X0 )
      | ~ ( leq @ sk_ @ X0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl38,zip_derived_cl7]) ).

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

thf(zip_derived_cl25,plain,
    less @ v200 @ v400,
    inference(cnf,[status(esa)],[ord_v200_v400]) ).

thf(zip_derived_cl75_007,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( less @ X1 @ X0 )
      | ( leq @ X1 @ X2 )
      | ~ ( leq @ X0 @ X2 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl1,zip_derived_cl7]) ).

thf(zip_derived_cl657,plain,
    ! [X0: $i] :
      ( ~ ( leq @ v400 @ X0 )
      | ( leq @ v200 @ X0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl25,zip_derived_cl75]) ).

thf(zip_derived_cl2_008,plain,
    ! [X0: $i,X1: $i] :
      ( ( leq @ X0 @ X1 )
      | ( X0 != X1 ) ),
    inference(cnf,[status(esa)],[leq_def]) ).

thf(zip_derived_cl726,plain,
    ! [X0: $i] :
      ( ( leq @ v200 @ X0 )
      | ( v400 != X0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl657,zip_derived_cl2]) ).

thf(zip_derived_cl3_009,plain,
    ! [X0: $i,X1: $i] :
      ( ( X1 = X0 )
      | ~ ( leq @ X0 @ X1 )
      | ~ ( leq @ X1 @ X0 ) ),
    inference(cnf,[status(esa)],[leq_antisym]) ).

thf(zip_derived_cl889,plain,
    ! [X0: $i] :
      ( ( v400 != X0 )
      | ~ ( leq @ X0 @ v200 )
      | ( v200 = X0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl726,zip_derived_cl3]) ).

thf(zip_derived_cl1373,plain,
    ( ~ ( leq @ sk_ @ v200 )
    | ( v200 = v400 )
    | ( v400 != v400 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl84,zip_derived_cl889]) ).

thf(zip_derived_cl1385,plain,
    ( ( v200 = v400 )
    | ~ ( leq @ sk_ @ v200 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl1373]) ).

thf(zip_derived_cl26,plain,
    v200 != v400,
    inference(cnf,[status(esa)],[distinct]) ).

thf(zip_derived_cl1386,plain,
    ~ ( leq @ sk_ @ v200 ),
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl1385,zip_derived_cl26]) ).

thf(zip_derived_cl2575,plain,
    in_lopen @ sk__1 @ v0 @ v100,
    inference(demod,[status(thm)],[zip_derived_cl2573,zip_derived_cl1386]) ).

thf(zip_derived_cl9_010,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( leq @ X0 @ X1 )
      | ~ ( in_lopen @ X0 @ X2 @ X1 ) ),
    inference(cnf,[status(esa)],[in_lopen]) ).

thf(zip_derived_cl2656,plain,
    leq @ sk__1 @ v100,
    inference('sup-',[status(thm)],[zip_derived_cl2575,zip_derived_cl9]) ).

thf(zip_derived_cl2661,plain,
    ~ ( leq @ v200 @ v200 ),
    inference(demod,[status(thm)],[zip_derived_cl2098,zip_derived_cl2656]) ).

thf(zip_derived_cl2683,plain,
    v200 != v200,
    inference('sup-',[status(thm)],[zip_derived_cl2,zip_derived_cl2661]) ).

thf(zip_derived_cl2686,plain,
    $false,
    inference(simplify,[status(thm)],[zip_derived_cl2683]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : MGT085+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.UekBHXHNM0 true
% 0.11/0.36  % Computer : n014.cluster.edu
% 0.11/0.36  % Model    : x86_64 x86_64
% 0.11/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.36  % Memory   : 8046.5625MB
% 0.11/0.36  % OS       : Linux 6.8.0-71-generic
% 0.11/0.36  % CPULimit : 300
% 0.11/0.36  % WCLimit  : 300
% 0.11/0.36  % DateTime : Mon Sep  7 14:19:41 UTC 2026
% 0.11/0.36  % CPUTime  : 
% 0.11/0.36  % Running portfolio for 300 s
% 0.11/0.36  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.11/0.36  % Number of cores: 8
% 0.11/0.37  % Python version: Python 3.12.3
% 0.11/0.37  % Running in FO mode
% 0.38/0.64  % Total configuration time : 435
% 0.38/0.64  % Estimated wc time : 1092
% 0.38/0.64  % Estimated cpu time (7 cpus) : 156.0
% 0.43/0.71  % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.43/0.77  % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.43/0.78  % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.43/0.78  % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.43/0.78  % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 0.43/0.78  % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.43/0.78  % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 3.15/1.14  % Solved by fo/fo4.sh.
% 3.15/1.14  % done 991 iterations in 0.337s
% 3.15/1.14  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 3.15/1.14  % SZS output start Refutation
% See solution above
% 3.15/1.14  
% 3.15/1.14  
% 3.15/1.14  % Terminating...
% 1.73/1.19  % Runner terminated.
% 1.77/1.21  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------