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Zipperpin---2.1.9999.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : MGT091+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.2KcagAQf9q true

% Computer : n027.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 06:25:22 AM UTC 2026

% Result   : Theorem 21.46s 3.79s
% Output   : Refutation 21.46s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :    8
% Syntax   : Number of formulae    :   34 (  18 unt;   0 typ;   0 def)
%            Number of atoms       :   58 (   2 equ;   0 cnn)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :  224 (  18   ~;  17   |;   3   &; 182   @)
%                                         (   4 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   18 (   7 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   11 (   9 usr;   5 con; 0-8 aty)
%            Number of variables   :   54 (   0   ^;  53   !;   1   ?;  54   :)

% Comments : 
%------------------------------------------------------------------------------
thf(v400_type,type,
    v400: $i ).

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

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

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

thf(in_closed_type,type,
    in_closed: $i > $i > $i > $o ).

thf(axis_compatible_type,type,
    axis_compatible: $i > $i > $i > $i > $o ).

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

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

thf(box2_compatible_type,type,
    box2_compatible: $i > $i > $i > $i > $i > $i > $i > $i > $o ).

thf(odrl624,conjecture,
    box2_compatible @ v0 @ v600 @ v0 @ v600 @ v400 @ v800 @ v400 @ v800 ).

thf(zf_stmt_0,negated_conjecture,
    ~ ( box2_compatible @ v0 @ v600 @ v0 @ v600 @ v400 @ v800 @ v400 @ v800 ),
    inference('cnf.neg',[status(esa)],[odrl624]) ).

thf(zip_derived_cl87,plain,
    ~ ( box2_compatible @ v0 @ v600 @ v0 @ v600 @ v400 @ v800 @ v400 @ v800 ),
    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_cl5,plain,
    ! [X0: $i,X1: $i] :
      ( ( leq @ X0 @ X1 )
      | ( X0 != X1 ) ),
    inference(cnf,[status(esa)],[leq_def]) ).

thf(zip_derived_cl88,plain,
    ! [X0: $i] : ( leq @ X0 @ X0 ),
    inference(eq_res,[status(thm)],[zip_derived_cl5]) ).

thf(ord_v400_v800,axiom,
    less @ v400 @ v800 ).

thf(zip_derived_cl79,plain,
    less @ v400 @ v800,
    inference(cnf,[status(esa)],[ord_v400_v800]) ).

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

thf(zip_derived_cl131,plain,
    leq @ v400 @ v800,
    inference('sup-',[status(thm)],[zip_derived_cl79,zip_derived_cl4]) ).

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

thf(zip_derived_cl13,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( in_closed @ X0 @ X1 @ X2 )
      | ~ ( leq @ X0 @ X2 )
      | ~ ( leq @ X1 @ X0 ) ),
    inference(cnf,[status(esa)],[in_closed]) ).

thf(zip_derived_cl268,plain,
    ! [X0: $i] :
      ( ~ ( leq @ X0 @ v400 )
      | ( in_closed @ v400 @ X0 @ v800 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl131,zip_derived_cl13]) ).

thf(zip_derived_cl602,plain,
    in_closed @ v400 @ v400 @ v800,
    inference('sup-',[status(thm)],[zip_derived_cl88,zip_derived_cl268]) ).

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

thf(zip_derived_cl76,plain,
    less @ v0 @ v400,
    inference(cnf,[status(esa)],[ord_v0_v400]) ).

thf(zip_derived_cl4_001,plain,
    ! [X0: $i,X1: $i] :
      ( ( leq @ X0 @ X1 )
      | ~ ( less @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[leq_def]) ).

thf(zip_derived_cl127,plain,
    leq @ v0 @ v400,
    inference('sup-',[status(thm)],[zip_derived_cl76,zip_derived_cl4]) ).

thf(ord_v400_v600,axiom,
    less @ v400 @ v600 ).

thf(zip_derived_cl78,plain,
    less @ v400 @ v600,
    inference(cnf,[status(esa)],[ord_v400_v600]) ).

thf(zip_derived_cl4_002,plain,
    ! [X0: $i,X1: $i] :
      ( ( leq @ X0 @ X1 )
      | ~ ( less @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[leq_def]) ).

thf(zip_derived_cl130,plain,
    leq @ v400 @ v600,
    inference('sup-',[status(thm)],[zip_derived_cl78,zip_derived_cl4]) ).

thf(zip_derived_cl13_003,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( in_closed @ X0 @ X1 @ X2 )
      | ~ ( leq @ X0 @ X2 )
      | ~ ( leq @ X1 @ X0 ) ),
    inference(cnf,[status(esa)],[in_closed]) ).

thf(zip_derived_cl267,plain,
    ! [X0: $i] :
      ( ~ ( leq @ X0 @ v400 )
      | ( in_closed @ v400 @ X0 @ v600 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl130,zip_derived_cl13]) ).

thf(zip_derived_cl542,plain,
    in_closed @ v400 @ v0 @ v600,
    inference('sup-',[status(thm)],[zip_derived_cl127,zip_derived_cl267]) ).

thf(axis_compatible_def,axiom,
    ! [I1lo: $i,I1hi: $i,I2lo: $i,I2hi: $i] :
      ( ( axis_compatible @ I1lo @ I1hi @ I2lo @ I2hi )
    <=> ? [X: $i] :
          ( ( in_closed @ X @ I2lo @ I2hi )
          & ( in_closed @ X @ I1lo @ I1hi ) ) ) ).

thf(zip_derived_cl28,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( ( axis_compatible @ X0 @ X1 @ X2 @ X3 )
      | ~ ( in_closed @ X4 @ X0 @ X1 )
      | ~ ( in_closed @ X4 @ X2 @ X3 ) ),
    inference(cnf,[status(esa)],[axis_compatible_def]) ).

thf(zip_derived_cl562,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( in_closed @ v400 @ X1 @ X0 )
      | ( axis_compatible @ v0 @ v600 @ X1 @ X0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl542,zip_derived_cl28]) ).

thf(zip_derived_cl1684,plain,
    axis_compatible @ v0 @ v600 @ v400 @ v800,
    inference('sup-',[status(thm)],[zip_derived_cl602,zip_derived_cl562]) ).

thf(box2_overlap,axiom,
    ! [A1: $i,B1: $i,A2: $i,B2: $i,C1: $i,D1: $i,C2: $i,D2: $i] :
      ( ( box2_compatible @ A1 @ B1 @ A2 @ B2 @ C1 @ D1 @ C2 @ D2 )
    <=> ( ( axis_compatible @ A1 @ B1 @ C1 @ D1 )
        & ( axis_compatible @ A2 @ B2 @ C2 @ D2 ) ) ) ).

thf(zip_derived_cl54,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
      ( ( box2_compatible @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 )
      | ~ ( axis_compatible @ X2 @ X3 @ X6 @ X7 )
      | ~ ( axis_compatible @ X0 @ X1 @ X4 @ X5 ) ),
    inference(cnf,[status(esa)],[box2_overlap]) ).

thf(zip_derived_cl549,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ~ ( axis_compatible @ X3 @ X2 @ X1 @ X0 )
      | ( box2_compatible @ X3 @ X2 @ X3 @ X2 @ X1 @ X0 @ X1 @ X0 ) ),
    inference(eq_fact,[status(thm)],[zip_derived_cl54]) ).

thf(zip_derived_cl16982,plain,
    box2_compatible @ v0 @ v600 @ v0 @ v600 @ v400 @ v800 @ v400 @ v800,
    inference('sup-',[status(thm)],[zip_derived_cl1684,zip_derived_cl549]) ).

thf(zip_derived_cl17847,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl87,zip_derived_cl16982]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : MGT091+1 : TPTP v9.3.1. Bugfixed v9.3.1.
% 0.00/0.05  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.2KcagAQf9q true
% 0.11/0.37  % Computer : n027.cluster.edu
% 0.11/0.37  % Model    : x86_64 x86_64
% 0.11/0.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37  % Memory   : 8046.5625MB
% 0.11/0.37  % OS       : Linux 6.8.0-71-generic
% 0.11/0.37  % CPULimit : 300
% 0.11/0.37  % WCLimit  : 300
% 0.11/0.37  % DateTime : Mon Sep  7 14:26:30 UTC 2026
% 0.11/0.37  % CPUTime  : 
% 0.11/0.37  % Running portfolio for 300 s
% 0.11/0.37  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.11/0.38  % Number of cores: 8
% 0.11/0.38  % Python version: Python 3.12.3
% 0.11/0.38  % Running in FO mode
% 0.42/0.66  % Total configuration time : 435
% 0.42/0.66  % Estimated wc time : 1092
% 0.42/0.66  % Estimated cpu time (7 cpus) : 156.0
% 0.46/0.79  % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.46/0.79  % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.46/0.79  % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.46/0.79  % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.46/0.79  % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.46/0.79  % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 0.46/0.79  % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.47/0.83  % /export/starexec/sandbox2/solver/bin/fo/fo1_lcnf.sh running for 50s
% 21.46/3.79  % Solved by fo/fo5.sh.
% 21.46/3.79  % done 2561 iterations in 2.966s
% 21.46/3.79  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 21.46/3.79  % SZS output start Refutation
% See solution above
% 21.46/3.79  
% 21.46/3.79  
% 21.46/3.79  % Terminating...
% 4.40/3.83  % Runner terminated.
% 4.40/3.86  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------