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Zipperpin---2.1.9999.UNS-Ref.s

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%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : MGT106+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.ilvsz8LFEM true

% Computer : n013.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 06:25:23 AM UTC 2026

% Result   : Unsatisfiable 0.51s 0.80s
% Output   : Refutation 0.51s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :    8
% Syntax   : Number of formulae    :   38 (  15 unt;   0 typ;   0 def)
%            Number of atoms       :   72 (  24 equ;   0 cnn)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :  156 (  24   ~;  25   |;   5   &;  98   @)
%                                         (   2 <=>;   2  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   5 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    9 (   7 usr;   5 con; 0-3 aty)
%            Number of variables   :   29 (   0   ^;  29   !;   0   ?;  29   :)

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

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

thf(w_type,type,
    w: $i ).

thf(v600_type,type,
    v600: $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(wit_leq,axiom,
    leq @ v800 @ w ).

thf(zip_derived_cl55,plain,
    leq @ v800 @ w,
    inference(cnf,[status(esa)],[wit_leq]) ).

thf(zip_derived_cl55_001,plain,
    leq @ v800 @ w,
    inference(cnf,[status(esa)],[wit_leq]) ).

thf(leq_def,axiom,
    ! [X: $i,Y: $i] :
      ( ( leq @ X @ Y )
    <=> ( ( less @ X @ Y )
        | ( X = Y ) ) ) ).

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

thf(zip_derived_cl304,plain,
    ( ( v800 = w )
    | ( less @ v800 @ w ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl55,zip_derived_cl3]) ).

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

thf(zip_derived_cl49,plain,
    less @ v600 @ v800,
    inference(cnf,[status(esa)],[ord_v600_v800]) ).

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

thf(zip_derived_cl1,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( less @ X0 @ X1 )
      | ~ ( less @ X1 @ X2 )
      | ( less @ X0 @ X2 ) ),
    inference(cnf,[status(esa)],[transitive]) ).

thf(zip_derived_cl297,plain,
    ! [X0: $i] :
      ( ~ ( less @ v800 @ X0 )
      | ( less @ v600 @ X0 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl49,zip_derived_cl1]) ).

thf(zip_derived_cl374,plain,
    ( ( v800 = w )
    | ( less @ v600 @ w ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl304,zip_derived_cl297]) ).

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

thf(wit_in_lopen,axiom,
    in_lopen @ w @ v0 @ v600 ).

thf(zip_derived_cl54,plain,
    in_lopen @ w @ v0 @ v600,
    inference(cnf,[status(esa)],[wit_in_lopen]) ).

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_cl281,plain,
    leq @ w @ v600,
    inference('dp-resolution',[status(thm)],[zip_derived_cl54,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_cl317,plain,
    ( ( v600 = w )
    | ~ ( leq @ v600 @ w ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl281,zip_derived_cl6]) ).

thf(zip_derived_cl364,plain,
    ( ~ ( less @ v600 @ w )
    | ( v600 = w ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl4,zip_derived_cl317]) ).

thf(zip_derived_cl394,plain,
    ( ( v800 = w )
    | ( v600 = w ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl374,zip_derived_cl364]) ).

thf(zip_derived_cl364_002,plain,
    ( ~ ( less @ v600 @ w )
    | ( v600 = w ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl4,zip_derived_cl317]) ).

thf(zip_derived_cl413,plain,
    ( ( v600 = w )
    | ~ ( less @ v600 @ v800 )
    | ( v600 = v800 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl394,zip_derived_cl364]) ).

thf(zip_derived_cl49_003,plain,
    less @ v600 @ v800,
    inference(cnf,[status(esa)],[ord_v600_v800]) ).

thf(zip_derived_cl421,plain,
    ( ( v600 = w )
    | ( v600 = v800 ) ),
    inference(demod,[status(thm)],[zip_derived_cl413,zip_derived_cl49]) ).

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

thf(zip_derived_cl50,plain,
    v600 != v800,
    inference(cnf,[status(esa)],[distinct]) ).

thf(zip_derived_cl422,plain,
    v600 = w,
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl421,zip_derived_cl50]) ).

thf(zip_derived_cl49_004,plain,
    less @ v600 @ v800,
    inference(cnf,[status(esa)],[ord_v600_v800]) ).

thf(zip_derived_cl4_005,plain,
    ! [X0: $i,X1: $i] :
      ( ( leq @ X0 @ X1 )
      | ~ ( less @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[leq_def]) ).

thf(zip_derived_cl6_006,plain,
    ! [X0: $i,X1: $i] :
      ( ( X1 = X0 )
      | ~ ( leq @ X0 @ X1 )
      | ~ ( leq @ X1 @ X0 ) ),
    inference(cnf,[status(esa)],[leq_antisym]) ).

thf(zip_derived_cl305,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_cl325,plain,
    ( ( v800 = v600 )
    | ~ ( leq @ v800 @ v600 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl49,zip_derived_cl305]) ).

thf(zip_derived_cl50_007,plain,
    v600 != v800,
    inference(cnf,[status(esa)],[distinct]) ).

thf(zip_derived_cl330,plain,
    ~ ( leq @ v800 @ v600 ),
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl325,zip_derived_cl50]) ).

thf(zip_derived_cl424,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl55,zip_derived_cl422,zip_derived_cl330]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : MGT106+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.ilvsz8LFEM true
% 0.12/0.38  % Computer : n013.cluster.edu
% 0.12/0.38  % Model    : x86_64 x86_64
% 0.12/0.38  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.38  % Memory   : 8046.5625MB
% 0.12/0.38  % OS       : Linux 6.8.0-71-generic
% 0.12/0.38  % CPULimit : 300
% 0.12/0.38  % WCLimit  : 300
% 0.12/0.38  % DateTime : Mon Sep  7 14:42:05 UTC 2026
% 0.12/0.38  % CPUTime  : 
% 0.12/0.38  % Running portfolio for 300 s
% 0.12/0.38  % File         : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.38  % Number of cores: 8
% 0.12/0.39  % Python version: Python 3.12.3
% 0.12/0.39  % Running in FO mode
% 0.46/0.68  % Total configuration time : 435
% 0.46/0.68  % Estimated wc time : 1092
% 0.46/0.68  % Estimated cpu time (7 cpus) : 156.0
% 0.51/0.75  % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.51/0.80  % Solved by fo/fo6_bce.sh.
% 0.51/0.80  % BCE start: 56
% 0.51/0.80  % BCE eliminated: 5
% 0.51/0.80  % PE start: 51
% 0.51/0.80  logic: eq
% 0.51/0.80  % PE eliminated: 11
% 0.51/0.80  % done 68 iterations in 0.031s
% 0.51/0.80  % SZS status Unsatisfiable for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.51/0.80  % SZS output start Refutation
% See solution above
% 0.51/0.80  
% 0.51/0.80  
% 0.51/0.80  % Terminating...
% 0.51/0.84  % Runner terminated.
% 0.51/0.85  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------