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Zipperpin---2.1.9999.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : MSC012+1 : TPTP v9.2.0. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.ouVIeRDkjb true

% Computer : n018.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Thu Oct  2 04:44:53 PM UTC 2025

% Result   : Theorem 0.63s 0.82s
% Output   : Refutation 0.63s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   27 (  10 unt;   0 typ;   0 def)
%            Number of atoms       :   54 (   0 equ;   0 cnn)
%            Maximal formula atoms :    4 (   2 avg)
%            Number of connectives :  136 (  25   ~;  21   |;   4   &;  84   @)
%                                         (   0 <=>;   2  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   6 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    6 (   5 usr;   2 con; 0-2 aty)
%            Number of variables   :   34 (   0   ^;  32   !;   2   ?;  34   :)

% Comments : 
%------------------------------------------------------------------------------
thf(p_type,type,
    p: $i > $o ).

thf(sk__type,type,
    sk_: $i > $i ).

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

thf(goal_type,type,
    goal: $o ).

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

thf(right_to_left,axiom,
    ! [A: $i] :
      ( ? [B: $i] :
          ( ( p @ B )
          & ( less @ A @ B ) )
      | ( p @ A ) ) ).

thf(zip_derived_cl1,plain,
    ! [X0: $i] :
      ( ( p @ ( sk_ @ X0 ) )
      | ( p @ X0 ) ),
    inference(cnf,[status(esa)],[right_to_left]) ).

thf(zip_derived_cl1_001,plain,
    ! [X0: $i] :
      ( ( p @ ( sk_ @ X0 ) )
      | ( p @ X0 ) ),
    inference(cnf,[status(esa)],[right_to_left]) ).

thf(zip_derived_cl2,plain,
    ! [X0: $i] :
      ( ( less @ X0 @ ( sk_ @ X0 ) )
      | ( p @ X0 ) ),
    inference(cnf,[status(esa)],[right_to_left]) ).

thf(serial_less,axiom,
    ! [A: $i] :
    ? [B: $i] : ( less @ A @ B ) ).

thf(zip_derived_cl4,plain,
    ! [X0: $i] : ( less @ X0 @ ( sk__1 @ X0 ) ),
    inference(cnf,[status(esa)],[serial_less]) ).

thf(transitive_less,axiom,
    ! [A: $i,B: $i,C: $i] :
      ( ( ( less @ A @ B )
        & ( less @ B @ C ) )
     => ( less @ A @ C ) ) ).

thf(zip_derived_cl3,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( less @ X0 @ X1 )
      | ~ ( less @ X1 @ X2 )
      | ( less @ X0 @ X2 ) ),
    inference(cnf,[status(esa)],[transitive_less]) ).

thf(zip_derived_cl10,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( less @ ( sk__1 @ X0 ) @ X1 )
      | ( less @ X0 @ X1 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl4,zip_derived_cl3]) ).

thf(zip_derived_cl13,plain,
    ! [X0: $i] :
      ( ( p @ ( sk__1 @ X0 ) )
      | ( less @ X0 @ ( sk_ @ ( sk__1 @ X0 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl2,zip_derived_cl10]) ).

thf(left_to_right,axiom,
    ! [A: $i,B: $i] :
      ( ( ( p @ A )
        & ( less @ A @ B )
        & ( p @ B ) )
     => goal ) ).

thf(zip_derived_cl0,plain,
    ! [X0: $i,X1: $i] :
      ( goal
      | ~ ( p @ X0 )
      | ~ ( less @ X0 @ X1 )
      | ~ ( p @ X1 ) ),
    inference(cnf,[status(esa)],[left_to_right]) ).

thf(goal_to_be_proved,conjecture,
    goal ).

thf(zf_stmt_0,negated_conjecture,
    ~ goal,
    inference('cnf.neg',[status(esa)],[goal_to_be_proved]) ).

thf(zip_derived_cl5,plain,
    ~ goal,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl6,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( p @ X0 )
      | ~ ( less @ X1 @ X0 )
      | ~ ( p @ X1 ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl0,zip_derived_cl5]) ).

thf(zip_derived_cl59,plain,
    ! [X0: $i] :
      ( ( p @ ( sk__1 @ X0 ) )
      | ~ ( p @ ( sk_ @ ( sk__1 @ X0 ) ) )
      | ~ ( p @ X0 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl13,zip_derived_cl6]) ).

thf(zip_derived_cl4_002,plain,
    ! [X0: $i] : ( less @ X0 @ ( sk__1 @ X0 ) ),
    inference(cnf,[status(esa)],[serial_less]) ).

thf(zip_derived_cl6_003,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( p @ X0 )
      | ~ ( less @ X1 @ X0 )
      | ~ ( p @ X1 ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl0,zip_derived_cl5]) ).

thf(zip_derived_cl7,plain,
    ! [X0: $i] :
      ( ~ ( p @ ( sk__1 @ X0 ) )
      | ~ ( p @ X0 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl4,zip_derived_cl6]) ).

thf(zip_derived_cl65,plain,
    ! [X0: $i] :
      ( ~ ( p @ X0 )
      | ~ ( p @ ( sk_ @ ( sk__1 @ X0 ) ) ) ),
    inference(clc,[status(thm)],[zip_derived_cl59,zip_derived_cl7]) ).

thf(zip_derived_cl66,plain,
    ! [X0: $i] :
      ( ( p @ ( sk__1 @ X0 ) )
      | ~ ( p @ X0 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl1,zip_derived_cl65]) ).

thf(zip_derived_cl7_004,plain,
    ! [X0: $i] :
      ( ~ ( p @ ( sk__1 @ X0 ) )
      | ~ ( p @ X0 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl4,zip_derived_cl6]) ).

thf(zip_derived_cl67,plain,
    ! [X0: $i] :
      ~ ( p @ X0 ),
    inference(clc,[status(thm)],[zip_derived_cl66,zip_derived_cl7]) ).

thf(zip_derived_cl68,plain,
    ! [X0: $i] : ( p @ ( sk_ @ X0 ) ),
    inference(demod,[status(thm)],[zip_derived_cl1,zip_derived_cl67]) ).

thf(zip_derived_cl67_005,plain,
    ! [X0: $i] :
      ~ ( p @ X0 ),
    inference(clc,[status(thm)],[zip_derived_cl66,zip_derived_cl7]) ).

thf(zip_derived_cl75,plain,
    $false,
    inference('s_sup-',[status(thm)],[zip_derived_cl68,zip_derived_cl67]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13  % Problem  : MSC012+1 : TPTP v9.2.0. Released v3.2.0.
% 0.03/0.14  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.ouVIeRDkjb true
% 0.13/0.35  % Computer : n018.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit : 300
% 0.13/0.35  % WCLimit  : 300
% 0.13/0.35  % DateTime : Wed Oct  1 14:02:23 EDT 2025
% 0.13/0.36  % CPUTime  : 
% 0.13/0.36  % Running portfolio for 300 s
% 0.13/0.36  % File         : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.36  % Number of cores: 8
% 0.13/0.36  % Python version: Python 3.6.8
% 0.13/0.36  % Running in FO mode
% 0.60/0.69  % Total configuration time : 435
% 0.60/0.69  % Estimated wc time : 1092
% 0.60/0.69  % Estimated cpu time (7 cpus) : 156.0
% 0.63/0.77  % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.63/0.81  % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.63/0.81  % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.63/0.82  % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.63/0.82  % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.63/0.82  % Solved by fo/fo6_bce.sh.
% 0.63/0.82  % BCE start: 6
% 0.63/0.82  % BCE eliminated: 0
% 0.63/0.82  % PE start: 6
% 0.63/0.82  logic: neq
% 0.63/0.82  % PE eliminated: 1
% 0.63/0.82  % done 24 iterations in 0.020s
% 0.63/0.82  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.63/0.82  % SZS output start Refutation
% See solution above
% 0.63/0.82  
% 0.63/0.82  
% 0.63/0.82  % Terminating...
% 1.84/0.98  % Runner terminated.
% 1.84/0.99  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------