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Zipperpin---2.1.9999.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : MGT073+1 : TPTP v9.3.0. Released v9.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.Ex3SVOFlF3 true

% Computer : n026.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 06:25:20 AM UTC 2026

% Result   : Theorem 0.48s 0.79s
% Output   : Refutation 0.48s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    3
% Syntax   : Number of formulae    :   13 (   6 unt;   0 typ;   0 def)
%            Number of atoms       :   21 (   0 equ;   0 cnn)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :  101 (   9   ~;   4   |;   3   &;  84   @)
%                                         (   1 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   13 (   8 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    7 (   6 usr;   4 con; 0-4 aty)
%            Number of variables   :   18 (   0   ^;  15   !;   3   ?;  18   :)

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

thf(n0_type,type,
    n0: $i ).

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

thf(sk__1_type,type,
    sk__1: $i > $i > $i > $i > $i ).

thf(n10_type,type,
    n10: $i ).

thf(n5_type,type,
    n5: $i ).

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_cl27,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ( in_closed @ ( sk__1 @ X0 @ X1 @ X2 @ X3 ) @ X3 @ X2 )
      | ~ ( axis_compatible @ X3 @ X2 @ X1 @ X0 ) ),
    inference(cnf,[status(esa)],[axis_compatible_def]) ).

thf(compatible_hyp,axiom,
    axis_compatible @ n0 @ n10 @ n5 @ n10 ).

thf(zip_derived_cl74,plain,
    axis_compatible @ n0 @ n10 @ n5 @ n10,
    inference(cnf,[status(esa)],[compatible_hyp]) ).

thf(zip_derived_cl26,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ( in_closed @ ( sk__1 @ X0 @ X1 @ X2 @ X3 ) @ X1 @ X0 )
      | ~ ( axis_compatible @ X3 @ X2 @ X1 @ X0 ) ),
    inference(cnf,[status(esa)],[axis_compatible_def]) ).

thf(no_false_compatible,conjecture,
    ? [X: $i] :
      ( ( in_closed @ X @ n5 @ n10 )
      & ( in_closed @ X @ n0 @ n10 ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ? [X: $i] :
        ( ( in_closed @ X @ n5 @ n10 )
        & ( in_closed @ X @ n0 @ n10 ) ),
    inference('cnf.neg',[status(esa)],[no_false_compatible]) ).

thf(zip_derived_cl75,plain,
    ! [X0: $i] :
      ( ~ ( in_closed @ X0 @ n5 @ n10 )
      | ~ ( in_closed @ X0 @ n0 @ n10 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl510,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( axis_compatible @ X0 @ X1 @ n5 @ n10 )
      | ~ ( in_closed @ ( sk__1 @ n10 @ n5 @ X1 @ X0 ) @ n0 @ n10 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl26,zip_derived_cl75]) ).

thf(zip_derived_cl530,plain,
    ~ ( in_closed @ ( sk__1 @ n10 @ n5 @ n10 @ n0 ) @ n0 @ n10 ),
    inference('s_sup-',[status(thm)],[zip_derived_cl74,zip_derived_cl510]) ).

thf(zip_derived_cl531,plain,
    ~ ( axis_compatible @ n0 @ n10 @ n5 @ n10 ),
    inference('s_sup-',[status(thm)],[zip_derived_cl27,zip_derived_cl530]) ).

thf(zip_derived_cl74_001,plain,
    axis_compatible @ n0 @ n10 @ n5 @ n10,
    inference(cnf,[status(esa)],[compatible_hyp]) ).

thf(zip_derived_cl532,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl531,zip_derived_cl74]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : MGT073+1 : TPTP v9.3.0. Released v9.3.0.
% 0.00/0.05  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.Ex3SVOFlF3 true
% 0.12/0.36  % Computer : n026.cluster.edu
% 0.12/0.36  % Model    : x86_64 x86_64
% 0.12/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.36  % Memory   : 8046.5625MB
% 0.12/0.36  % OS       : Linux 6.8.0-71-generic
% 0.12/0.36  % CPULimit : 300
% 0.12/0.36  % WCLimit  : 300
% 0.12/0.36  % DateTime : Mon Sep  7 14:00:27 UTC 2026
% 0.12/0.37  % CPUTime  : 
% 0.12/0.37  % Running portfolio for 300 s
% 0.12/0.37  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.37  % Number of cores: 8
% 0.12/0.37  % Python version: Python 3.12.3
% 0.12/0.38  % Running in FO mode
% 0.45/0.66  % Total configuration time : 435
% 0.45/0.66  % Estimated wc time : 1092
% 0.45/0.66  % Estimated cpu time (7 cpus) : 156.0
% 0.48/0.74  % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.48/0.79  % Solved by fo/fo6_bce.sh.
% 0.48/0.79  % BCE start: 76
% 0.48/0.79  % BCE eliminated: 1
% 0.48/0.79  % PE start: 75
% 0.48/0.79  logic: eq
% 0.48/0.79  % PE eliminated: 33
% 0.48/0.79  % done 59 iterations in 0.033s
% 0.48/0.79  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.48/0.79  % SZS output start Refutation
% See solution above
% 0.48/0.79  
% 0.48/0.79  
% 0.48/0.79  % Terminating...
% 0.50/0.84  % Runner terminated.
% 0.50/0.85  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------