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Zipperpin---2.1.9999.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : MGT084+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.Pzkafizx8F true

% Computer : n002.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 0.38s 0.69s
% Output   : Refutation 0.38s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   18 (   8 unt;   0 typ;   0 def)
%            Number of atoms       :   40 (   6 equ;   0 cnn)
%            Maximal formula atoms :    6 (   2 avg)
%            Number of connectives :  106 (   9   ~;   7   |;  12   &;  75   @)
%                                         (   2 <=>;   1  =>;   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     :   10 (   8 usr;   6 con; 0-3 aty)
%            Number of variables   :   22 (   0   ^;  16   !;   6   ?;  22   :)

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

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

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

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

thf(sk__4_type,type,
    sk__4: $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(odrl432,conjecture,
    ~ ? [X: $i,Y: $i,Z: $i] :
        ( ( leq @ v200 @ Z )
        & ( in_lopen @ Z @ v0 @ v200 )
        & ( less @ v400 @ Y )
        & ( in_lopen @ Y @ v0 @ v400 )
        & ( leq @ v600 @ X )
        & ( in_lopen @ X @ v0 @ v600 ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ? [X: $i,Y: $i,Z: $i] :
      ( ( leq @ v200 @ Z )
      & ( in_lopen @ Z @ v0 @ v200 )
      & ( less @ v400 @ Y )
      & ( in_lopen @ Y @ v0 @ v400 )
      & ( leq @ v600 @ X )
      & ( in_lopen @ X @ v0 @ v600 ) ),
    inference('cnf.neg',[status(esa)],[odrl432]) ).

thf(zip_derived_cl66,plain,
    less @ v400 @ sk__4,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

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(zip_derived_cl65,plain,
    in_lopen @ sk__4 @ v0 @ v400,
    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_cl310,plain,
    leq @ sk__4 @ v400,
    inference('dp-resolution',[status(thm)],[zip_derived_cl65,zip_derived_cl15]) ).

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_cl396,plain,
    ( ( v400 = sk__4 )
    | ~ ( leq @ v400 @ sk__4 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl310,zip_derived_cl6]) ).

thf(zip_derived_cl402,plain,
    ( ~ ( less @ v400 @ sk__4 )
    | ( v400 = sk__4 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl4,zip_derived_cl396]) ).

thf(zip_derived_cl66_001,plain,
    less @ v400 @ sk__4,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl403,plain,
    v400 = sk__4,
    inference(demod,[status(thm)],[zip_derived_cl402,zip_derived_cl66]) ).

thf(irreflexive,axiom,
    ! [X: $i] :
      ~ ( less @ X @ X ) ).

thf(zip_derived_cl0,plain,
    ! [X0: $i] :
      ~ ( less @ X0 @ X0 ),
    inference(cnf,[status(esa)],[irreflexive]) ).

thf(zip_derived_cl415,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl66,zip_derived_cl403,zip_derived_cl0]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : MGT084+1 : TPTP v9.3.1. Bugfixed v9.3.1.
% 0.00/0.04  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.Pzkafizx8F true
% 0.10/0.35  % Computer : n002.cluster.edu
% 0.10/0.35  % Model    : x86_64 x86_64
% 0.10/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.35  % Memory   : 8046.5625MB
% 0.10/0.35  % OS       : Linux 6.8.0-71-generic
% 0.10/0.35  % CPULimit : 300
% 0.10/0.35  % WCLimit  : 300
% 0.10/0.35  % DateTime : Mon Sep  7 14:21:37 UTC 2026
% 0.10/0.35  % CPUTime  : 
% 0.10/0.35  % Running portfolio for 300 s
% 0.10/0.35  % File         : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.35  % Number of cores: 8
% 0.14/0.36  % Python version: Python 3.12.3
% 0.14/0.36  % Running in FO mode
% 0.38/0.57  % Total configuration time : 435
% 0.38/0.57  % Estimated wc time : 1092
% 0.38/0.57  % Estimated cpu time (7 cpus) : 156.0
% 0.38/0.64  % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.38/0.69  % Solved by fo/fo6_bce.sh.
% 0.38/0.69  % BCE start: 67
% 0.38/0.69  % BCE eliminated: 5
% 0.38/0.69  % PE start: 62
% 0.38/0.69  logic: eq
% 0.38/0.69  % PE eliminated: 9
% 0.38/0.69  % done 65 iterations in 0.030s
% 0.38/0.69  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.38/0.69  % SZS output start Refutation
% See solution above
% 0.38/0.69  
% 0.38/0.69  
% 0.38/0.69  % Terminating...
% 0.52/0.72  % Runner terminated.
% 0.52/0.74  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------