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Zipperpin---2.1.9999.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : MGT078+1 : TPTP v9.3.1. Bugfixed v9.3.1.
% Transfm  : none
% Format   : tptp:raw
% Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.VXqkWDkKrw true

% Computer : n017.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 06:25:20 AM UTC 2026

% Result   : Theorem 0.49s 0.81s
% Output   : Refutation 0.49s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :    7
% Syntax   : Number of formulae    :   23 (  10 unt;   0 typ;   0 def)
%            Number of atoms       :   69 (  26 equ;   0 cnn)
%            Maximal formula atoms :   21 (   3 avg)
%            Number of connectives :  172 (  33   ~;   9   |;  33   &;  93   @)
%                                         (   2 <=>;   2  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   22 (   7 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   :   27 (   0   ^;  21   !;   6   ?;  27   :)

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

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

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

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

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

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

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

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

thf(v1200_type,type,
    v1200: $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(odrl341,conjecture,
    ~ ? [X: $i,Y: $i,Z: $i] :
        ( ( leq @ v8 @ Z )
        & ( in_lopen @ Z @ v0 @ v32 )
        & ( leq @ v200 @ Y )
        & ( in_lopen @ Y @ v0 @ v800 )
        & ( leq @ v1200 @ X )
        & ( in_lopen @ X @ v0 @ v600 ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ? [X: $i,Y: $i,Z: $i] :
      ( ( leq @ v8 @ Z )
      & ( in_lopen @ Z @ v0 @ v32 )
      & ( leq @ v200 @ Y )
      & ( in_lopen @ Y @ v0 @ v800 )
      & ( leq @ v1200 @ X )
      & ( in_lopen @ X @ v0 @ v600 ) ),
    inference('cnf.neg',[status(esa)],[odrl341]) ).

thf(zip_derived_cl96,plain,
    in_lopen @ sk__3 @ v0 @ v600,
    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_cl15,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( leq @ X0 @ X1 )
      | ~ ( in_lopen @ X0 @ X2 @ X1 ) ),
    inference(cnf,[status(esa)],[in_lopen]) ).

thf(zip_derived_cl371,plain,
    leq @ sk__3 @ v600,
    inference('dp-resolution',[status(thm)],[zip_derived_cl96,zip_derived_cl15]) ).

thf(zip_derived_cl97,plain,
    leq @ v1200 @ sk__3,
    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_cl10,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_cl558,plain,
    ! [X0: $i] :
      ( ~ ( leq @ sk__3 @ X0 )
      | ( leq @ v1200 @ X0 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl97,zip_derived_cl10]) ).

thf(zip_derived_cl668,plain,
    leq @ v1200 @ v600,
    inference('s_sup-',[status(thm)],[zip_derived_cl371,zip_derived_cl558]) ).

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_cl670,plain,
    ( ( v600 = v1200 )
    | ~ ( leq @ v600 @ v1200 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl668,zip_derived_cl6]) ).

thf(distinct,axiom,
    ( ( v800 != v1200 )
    & ( v600 != v1200 )
    & ( v600 != v800 )
    & ( v200 != v1200 )
    & ( v200 != v800 )
    & ( v200 != v600 )
    & ( v32 != v1200 )
    & ( v32 != v800 )
    & ( v32 != v600 )
    & ( v32 != v200 )
    & ( v8 != v1200 )
    & ( v8 != v800 )
    & ( v8 != v600 )
    & ( v8 != v200 )
    & ( v8 != v32 )
    & ( v0 != v1200 )
    & ( v0 != v800 )
    & ( v0 != v600 )
    & ( v0 != v200 )
    & ( v0 != v32 )
    & ( v0 != v8 ) ) ).

thf(zip_derived_cl74,plain,
    v600 != v1200,
    inference(cnf,[status(esa)],[distinct]) ).

thf(zip_derived_cl677,plain,
    ~ ( leq @ v600 @ v1200 ),
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl670,zip_derived_cl74]) ).

thf(zip_derived_cl689,plain,
    ~ ( less @ v600 @ v1200 ),
    inference('s_sup-',[status(thm)],[zip_derived_cl4,zip_derived_cl677]) ).

thf(ord_v600_v1200,axiom,
    less @ v600 @ v1200 ).

thf(zip_derived_cl71,plain,
    less @ v600 @ v1200,
    inference(cnf,[status(esa)],[ord_v600_v1200]) ).

thf(zip_derived_cl690,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl689,zip_derived_cl71]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : MGT078+1 : TPTP v9.3.1. Bugfixed v9.3.1.
% 0.00/0.05  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.VXqkWDkKrw true
% 0.13/0.37  % Computer : n017.cluster.edu
% 0.13/0.37  % Model    : x86_64 x86_64
% 0.13/0.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.37  % Memory   : 8046.5625MB
% 0.13/0.37  % OS       : Linux 6.8.0-71-generic
% 0.13/0.37  % CPULimit : 300
% 0.13/0.37  % WCLimit  : 300
% 0.13/0.37  % DateTime : Mon Sep  7 14:08:54 UTC 2026
% 0.13/0.38  % CPUTime  : 
% 0.13/0.38  % Running portfolio for 300 s
% 0.13/0.38  % File         : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.38  % Number of cores: 8
% 0.13/0.38  % Python version: Python 3.12.3
% 0.13/0.39  % Running in FO mode
% 0.44/0.66  % Total configuration time : 435
% 0.44/0.66  % Estimated wc time : 1092
% 0.44/0.66  % Estimated cpu time (7 cpus) : 156.0
% 0.49/0.74  % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.49/0.80  % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.49/0.80  % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.49/0.80  % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.49/0.80  % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.49/0.80  % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.49/0.81  % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 0.49/0.81  % Solved by fo/fo6_bce.sh.
% 0.49/0.81  % BCE start: 100
% 0.49/0.81  % BCE eliminated: 8
% 0.49/0.81  % PE start: 92
% 0.49/0.81  logic: eq
% 0.49/0.81  % PE eliminated: 9
% 0.49/0.81  % done 130 iterations in 0.058s
% 0.49/0.81  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.49/0.81  % SZS output start Refutation
% See solution above
% 0.49/0.81  
% 0.49/0.81  
% 0.49/0.81  % Terminating...
% 0.49/0.86  % Runner terminated.
% 0.49/0.88  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------