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Zipperpin---2.1.9999.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : MGT079+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.CrApzffZJK 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 0.40s 0.77s
% Output   : Refutation 0.40s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   12
%            Number of leaves      :    9
% Syntax   : Number of formulae    :   39 (  14 unt;   0 typ;   0 def)
%            Number of atoms       :  112 (  28 equ;   0 cnn)
%            Maximal formula atoms :   21 (   2 avg)
%            Number of connectives :  339 (  63   ~;  38   |;  32   &; 203   @)
%                                         (   2 <=>;   1  =>;   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     :   12 (  10 usr;   8 con; 0-3 aty)
%            Number of variables   :   52 (   0   ^;  46   !;   6   ?;  52   :)

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

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

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

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

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

thf(v16_type,type,
    v16: $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(v0_type,type,
    v0: $i ).

thf(ord_v0_v32,axiom,
    less @ v0 @ v32 ).

thf(zip_derived_cl53,plain,
    less @ v0 @ v32,
    inference(cnf,[status(esa)],[ord_v0_v32]) ).

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

thf(zip_derived_cl16,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(ord_v0_v600,axiom,
    less @ v0 @ v600 ).

thf(zip_derived_cl55,plain,
    less @ v0 @ v600,
    inference(cnf,[status(esa)],[ord_v0_v600]) ).

thf(zip_derived_cl16_001,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(ord_v0_v400,axiom,
    less @ v0 @ v400 ).

thf(zip_derived_cl54,plain,
    less @ v0 @ v400,
    inference(cnf,[status(esa)],[ord_v0_v400]) ).

thf(zip_derived_cl16_002,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(odrl350,conjecture,
    ? [X: $i,Y: $i,Z: $i] :
      ( ~ ( ( in_lopen @ X @ v0 @ v1200 )
          & ( in_lopen @ Y @ v0 @ v800 )
          & ( in_lopen @ Z @ v0 @ v16 ) )
      & ( in_lopen @ Z @ v0 @ v32 )
      & ( in_lopen @ Y @ v0 @ v400 )
      & ( in_lopen @ X @ v0 @ v600 ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ? [X: $i,Y: $i,Z: $i] :
        ( ~ ( ( in_lopen @ X @ v0 @ v1200 )
            & ( in_lopen @ Y @ v0 @ v800 )
            & ( in_lopen @ Z @ v0 @ v16 ) )
        & ( in_lopen @ Z @ v0 @ v32 )
        & ( in_lopen @ Y @ v0 @ v400 )
        & ( in_lopen @ X @ v0 @ v600 ) ),
    inference('cnf.neg',[status(esa)],[odrl350]) ).

thf(zip_derived_cl96,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( in_lopen @ X0 @ v0 @ v400 )
      | ~ ( in_lopen @ X1 @ v0 @ v600 )
      | ~ ( in_lopen @ X2 @ v0 @ v32 )
      | ( in_lopen @ X2 @ v0 @ v16 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl637,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( less @ v0 @ X0 )
      | ~ ( leq @ X0 @ v400 )
      | ~ ( in_lopen @ X1 @ v0 @ v600 )
      | ~ ( in_lopen @ X2 @ v0 @ v32 )
      | ( in_lopen @ X2 @ v0 @ v16 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl16,zip_derived_cl96]) ).

thf(zip_derived_cl685,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( leq @ v400 @ v400 )
      | ~ ( in_lopen @ X0 @ v0 @ v600 )
      | ~ ( in_lopen @ X1 @ v0 @ v32 )
      | ( in_lopen @ X1 @ v0 @ v16 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl54,zip_derived_cl637]) ).

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_cl390,plain,
    ! [X0: $i] : ( leq @ X0 @ X0 ),
    inference(eq_res,[status(thm)],[zip_derived_cl5]) ).

thf(zip_derived_cl689,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( in_lopen @ X0 @ v0 @ v600 )
      | ~ ( in_lopen @ X1 @ v0 @ v32 )
      | ( in_lopen @ X1 @ v0 @ v16 ) ),
    inference(demod,[status(thm)],[zip_derived_cl685,zip_derived_cl390]) ).

thf(zip_derived_cl693,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( less @ v0 @ X0 )
      | ~ ( leq @ X0 @ v600 )
      | ~ ( in_lopen @ X1 @ v0 @ v32 )
      | ( in_lopen @ X1 @ v0 @ v16 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl16,zip_derived_cl689]) ).

thf(zip_derived_cl733,plain,
    ! [X0: $i] :
      ( ~ ( leq @ v600 @ v600 )
      | ~ ( in_lopen @ X0 @ v0 @ v32 )
      | ( in_lopen @ X0 @ v0 @ v16 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl55,zip_derived_cl693]) ).

thf(zip_derived_cl390_003,plain,
    ! [X0: $i] : ( leq @ X0 @ X0 ),
    inference(eq_res,[status(thm)],[zip_derived_cl5]) ).

thf(zip_derived_cl736,plain,
    ! [X0: $i] :
      ( ~ ( in_lopen @ X0 @ v0 @ v32 )
      | ( in_lopen @ X0 @ v0 @ v16 ) ),
    inference(demod,[status(thm)],[zip_derived_cl733,zip_derived_cl390]) ).

thf(zip_derived_cl739,plain,
    ! [X0: $i] :
      ( ~ ( less @ v0 @ X0 )
      | ~ ( leq @ X0 @ v32 )
      | ( in_lopen @ X0 @ v0 @ v16 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl16,zip_derived_cl736]) ).

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_cl875,plain,
    ! [X0: $i] :
      ( ~ ( leq @ X0 @ v32 )
      | ~ ( less @ v0 @ X0 )
      | ( leq @ X0 @ v16 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl739,zip_derived_cl15]) ).

thf(zip_derived_cl1110,plain,
    ( ~ ( leq @ v32 @ v32 )
    | ( leq @ v32 @ v16 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl53,zip_derived_cl875]) ).

thf(zip_derived_cl390_004,plain,
    ! [X0: $i] : ( leq @ X0 @ X0 ),
    inference(eq_res,[status(thm)],[zip_derived_cl5]) ).

thf(ord_v16_v32,axiom,
    less @ v16 @ v32 ).

thf(zip_derived_cl58,plain,
    less @ v16 @ v32,
    inference(cnf,[status(esa)],[ord_v16_v32]) ).

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

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_cl391,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( less @ X1 @ X0 )
      | ( X0 = X1 )
      | ~ ( leq @ X0 @ X1 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl4,zip_derived_cl6]) ).

thf(zip_derived_cl461,plain,
    ( ( v32 = v16 )
    | ~ ( leq @ v32 @ v16 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl58,zip_derived_cl391]) ).

thf(distinct,axiom,
    ( ( v800 != v1200 )
    & ( v600 != v1200 )
    & ( v600 != v800 )
    & ( v400 != v1200 )
    & ( v400 != v800 )
    & ( v400 != v600 )
    & ( v32 != v1200 )
    & ( v32 != v800 )
    & ( v32 != v600 )
    & ( v32 != v400 )
    & ( v16 != v1200 )
    & ( v16 != v800 )
    & ( v16 != v600 )
    & ( v16 != v400 )
    & ( v16 != v32 )
    & ( v0 != v1200 )
    & ( v0 != v800 )
    & ( v0 != v600 )
    & ( v0 != v400 )
    & ( v0 != v32 )
    & ( v0 != v16 ) ) ).

thf(zip_derived_cl87,plain,
    v16 != v32,
    inference(cnf,[status(esa)],[distinct]) ).

thf(zip_derived_cl462,plain,
    ~ ( leq @ v32 @ v16 ),
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl461,zip_derived_cl87]) ).

thf(zip_derived_cl1119,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl1110,zip_derived_cl390,zip_derived_cl462]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02  % Problem  : MGT079+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.CrApzffZJK true
% 0.08/0.34  % Computer : n001.cluster.edu
% 0.08/0.34  % Model    : x86_64 x86_64
% 0.08/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.34  % Memory   : 8046.5625MB
% 0.08/0.34  % OS       : Linux 6.8.0-71-generic
% 0.08/0.34  % CPULimit : 300
% 0.08/0.34  % WCLimit  : 300
% 0.08/0.34  % DateTime : Mon Sep  7 14:20:22 UTC 2026
% 0.08/0.34  % CPUTime  : 
% 0.08/0.34  % Running portfolio for 300 s
% 0.08/0.34  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.08/0.35  % Number of cores: 8
% 0.08/0.35  % Python version: Python 3.12.3
% 0.08/0.35  % Running in FO mode
% 0.38/0.56  % Total configuration time : 435
% 0.38/0.56  % Estimated wc time : 1092
% 0.38/0.56  % Estimated cpu time (7 cpus) : 156.0
% 0.39/0.64  % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.40/0.70  % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.40/0.70  % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.40/0.70  % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.40/0.70  % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.40/0.70  % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 0.40/0.70  % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.40/0.77  % Solved by fo/fo6_bce.sh.
% 0.40/0.77  % BCE start: 97
% 0.40/0.77  % BCE eliminated: 8
% 0.40/0.77  % PE start: 89
% 0.40/0.77  logic: eq
% 0.40/0.77  % PE eliminated: 9
% 0.40/0.77  % done 300 iterations in 0.113s
% 0.40/0.77  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.40/0.77  % SZS output start Refutation
% See solution above
% 0.40/0.77  
% 0.40/0.77  
% 0.40/0.77  % Terminating...
% 0.40/0.79  % Runner terminated.
% 1.58/0.81  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------