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Zipperpin---2.1.9999.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : MGT086+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.3wY5DW3wdE true

% Computer : n016.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 0.47s 0.79s
% Output   : Refutation 0.47s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :    9
% Syntax   : Number of formulae    :   41 (  15 unt;   0 typ;   0 def)
%            Number of atoms       :  100 (  17 equ;   0 cnn)
%            Maximal formula atoms :   10 (   2 avg)
%            Number of connectives :  301 (  49   ~;  35   |;  20   &; 193   @)
%                                         (   2 <=>;   2  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   11 (   6 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   10 (   8 usr;   6 con; 0-3 aty)
%            Number of variables   :   51 (   0   ^;  47   !;   4   ?;  51   :)

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

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

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

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

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

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

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

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

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

thf(zip_derived_cl59,plain,
    less @ v600 @ v800,
    inference(cnf,[status(esa)],[ord_v600_v800]) ).

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(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_cl338,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_cl435,plain,
    ( ( v800 = v600 )
    | ~ ( leq @ v800 @ v600 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl59,zip_derived_cl338]) ).

thf(distinct,axiom,
    ( ( v600 != v800 )
    & ( v400 != v800 )
    & ( v400 != v600 )
    & ( v200 != v800 )
    & ( v200 != v600 )
    & ( v200 != v400 )
    & ( v0 != v800 )
    & ( v0 != v600 )
    & ( v0 != v400 )
    & ( v0 != v200 ) ) ).

thf(zip_derived_cl60,plain,
    v600 != v800,
    inference(cnf,[status(esa)],[distinct]) ).

thf(zip_derived_cl436,plain,
    ~ ( leq @ v800 @ v600 ),
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl435,zip_derived_cl60]) ).

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(zip_derived_cl5,plain,
    ! [X0: $i,X1: $i] :
      ( ( leq @ X0 @ X1 )
      | ( X0 != X1 ) ),
    inference(cnf,[status(esa)],[leq_def]) ).

thf(zip_derived_cl333,plain,
    ! [X0: $i] : ( leq @ X0 @ X0 ),
    inference(eq_res,[status(thm)],[zip_derived_cl5]) ).

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(zip_derived_cl333_002,plain,
    ! [X0: $i] : ( leq @ X0 @ X0 ),
    inference(eq_res,[status(thm)],[zip_derived_cl5]) ).

thf(odrl462,conjecture,
    ? [X: $i,Y: $i] :
      ( ( ( ( in_lopen @ Y @ v0 @ v400 )
          & ~ ( in_lopen @ X @ v0 @ v600 ) )
        | ( ~ ( in_lopen @ Y @ v0 @ v400 )
          & ( in_lopen @ X @ v0 @ v600 ) ) )
      & ( in_lopen @ Y @ v0 @ v200 )
      & ( leq @ v800 @ X ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ? [X: $i,Y: $i] :
        ( ( ( ( in_lopen @ Y @ v0 @ v400 )
            & ~ ( in_lopen @ X @ v0 @ v600 ) )
          | ( ~ ( in_lopen @ Y @ v0 @ v400 )
            & ( in_lopen @ X @ v0 @ v600 ) ) )
        & ( in_lopen @ Y @ v0 @ v200 )
        & ( leq @ v800 @ X ) ),
    inference('cnf.neg',[status(esa)],[odrl462]) ).

thf(zip_derived_cl71,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( leq @ v800 @ X0 )
      | ~ ( in_lopen @ X1 @ v0 @ v200 )
      | ~ ( in_lopen @ X1 @ v0 @ v400 )
      | ( in_lopen @ X0 @ v0 @ v600 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl532,plain,
    ! [X0: $i] :
      ( ~ ( in_lopen @ X0 @ v0 @ v200 )
      | ~ ( in_lopen @ X0 @ v0 @ v400 )
      | ( in_lopen @ v800 @ v0 @ v600 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl333,zip_derived_cl71]) ).

thf(zip_derived_cl558,plain,
    ! [X0: $i] :
      ( ~ ( less @ v0 @ X0 )
      | ~ ( leq @ X0 @ v200 )
      | ~ ( in_lopen @ X0 @ v0 @ v400 )
      | ( in_lopen @ v800 @ v0 @ v600 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl16,zip_derived_cl532]) ).

thf(zip_derived_cl14,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( less @ X0 @ X1 )
      | ~ ( in_lopen @ X1 @ X0 @ X2 ) ),
    inference(cnf,[status(esa)],[in_lopen]) ).

thf(zip_derived_cl597,plain,
    ! [X0: $i] :
      ( ( in_lopen @ v800 @ v0 @ v600 )
      | ~ ( in_lopen @ X0 @ v0 @ v400 )
      | ~ ( leq @ X0 @ v200 ) ),
    inference(clc,[status(thm)],[zip_derived_cl558,zip_derived_cl14]) ).

thf(zip_derived_cl599,plain,
    ( ( in_lopen @ v800 @ v0 @ v600 )
    | ~ ( in_lopen @ v200 @ v0 @ v400 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl333,zip_derived_cl597]) ).

thf(zip_derived_cl601,plain,
    ( ~ ( less @ v0 @ v200 )
    | ~ ( leq @ v200 @ v400 )
    | ( in_lopen @ v800 @ v0 @ v600 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl16,zip_derived_cl599]) ).

thf(ord_v0_v200,axiom,
    less @ v0 @ v200 ).

thf(zip_derived_cl50,plain,
    less @ v0 @ v200,
    inference(cnf,[status(esa)],[ord_v0_v200]) ).

thf(zip_derived_cl333_003,plain,
    ! [X0: $i] : ( leq @ X0 @ X0 ),
    inference(eq_res,[status(thm)],[zip_derived_cl5]) ).

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

thf(zip_derived_cl54,plain,
    less @ v200 @ v400,
    inference(cnf,[status(esa)],[ord_v200_v400]) ).

thf(zip_derived_cl4_004,plain,
    ! [X0: $i,X1: $i] :
      ( ( leq @ X0 @ X1 )
      | ~ ( less @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[leq_def]) ).

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_cl387,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( less @ X1 @ X0 )
      | ~ ( leq @ X0 @ X2 )
      | ( leq @ X1 @ X2 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl4,zip_derived_cl10]) ).

thf(zip_derived_cl450,plain,
    ! [X0: $i] :
      ( ~ ( leq @ v400 @ X0 )
      | ( leq @ v200 @ X0 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl54,zip_derived_cl387]) ).

thf(zip_derived_cl578,plain,
    leq @ v200 @ v400,
    inference('s_sup-',[status(thm)],[zip_derived_cl333,zip_derived_cl450]) ).

thf(zip_derived_cl602,plain,
    in_lopen @ v800 @ v0 @ v600,
    inference(demod,[status(thm)],[zip_derived_cl601,zip_derived_cl50,zip_derived_cl578]) ).

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_cl617,plain,
    leq @ v800 @ v600,
    inference('s_sup-',[status(thm)],[zip_derived_cl602,zip_derived_cl15]) ).

thf(zip_derived_cl622,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl436,zip_derived_cl617]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : MGT086+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.3wY5DW3wdE true
% 0.10/0.37  % Computer : n016.cluster.edu
% 0.10/0.37  % Model    : x86_64 x86_64
% 0.10/0.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37  % Memory   : 8046.5625MB
% 0.10/0.37  % OS       : Linux 6.8.0-71-generic
% 0.10/0.37  % CPULimit : 300
% 0.10/0.37  % WCLimit  : 300
% 0.10/0.37  % DateTime : Mon Sep  7 14:25:02 UTC 2026
% 0.10/0.37  % CPUTime  : 
% 0.10/0.37  % Running portfolio for 300 s
% 0.10/0.37  % File         : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.37  % Number of cores: 8
% 0.15/0.37  % Python version: Python 3.12.3
% 0.15/0.38  % Running in FO mode
% 0.45/0.65  % Total configuration time : 435
% 0.45/0.65  % Estimated wc time : 1092
% 0.45/0.65  % Estimated cpu time (7 cpus) : 156.0
% 0.47/0.72  % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.47/0.78  % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.47/0.79  % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.47/0.79  % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.47/0.79  % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.47/0.79  % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.47/0.79  % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 0.47/0.79  % Solved by fo/fo6_bce.sh.
% 0.47/0.79  % BCE start: 72
% 0.47/0.79  % BCE eliminated: 6
% 0.47/0.79  % PE start: 66
% 0.47/0.79  logic: eq
% 0.47/0.79  % PE eliminated: 9
% 0.47/0.79  % done 158 iterations in 0.057s
% 0.47/0.79  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.47/0.79  % SZS output start Refutation
% See solution above
% 0.47/0.79  
% 0.47/0.79  
% 0.47/0.79  % Terminating...
% 0.51/0.83  % Runner terminated.
% 0.51/0.85  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------