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Zipperpin---2.1.9999.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SYO526^1 : TPTP v9.2.0. Released v5.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.vgyMA25kuP true

% Computer : n021.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 05:07:52 PM UTC 2025

% Result   : Theorem 0.41s 0.75s
% Output   : Refutation 0.41s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   24 (   9 unt;   0 typ;   0 def)
%            Number of atoms       :   45 (   3 equ;   0 cnn)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :   46 (  13   ~;  11   |;   0   &;  18   @)
%                                         (   4 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    5 (   3 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    7 (   5 usr;   4 con; 0-2 aty)
%            Number of variables   :    9 (   0   ^;   9   !;   0   ?;   9   :)

% Comments : 
%------------------------------------------------------------------------------
thf(a_type,type,
    a: $o ).

thf(f_type,type,
    f: $i > $o ).

thf(g_type,type,
    g: $i > $o ).

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

thf(b_type,type,
    b: $o ).

thf(fg,axiom,
    f = g ).

thf(zip_derived_cl2,plain,
    f = g,
    inference(cnf,[status(esa)],[fg]) ).

thf(zip_derived_cl7,plain,
    ! [X1: $i] :
      ( ( f @ X1 )
      = ( g @ X1 ) ),
    inference(ho_complete_eq,[status(thm)],[zip_derived_cl2]) ).

thf(zip_derived_cl12,plain,
    ! [X0: $i] :
      ( ( g @ X0 )
      | ~ ( f @ X0 ) ),
    inference(cnf_otf,[status(thm)],[zip_derived_cl7]) ).

thf(ab,axiom,
    ( a
  <=> b ) ).

thf(zip_derived_cl0,plain,
    ( b
    | ~ a ),
    inference(cnf,[status(esa)],[ab]) ).

thf(gb,conjecture,
    ! [X: $i] :
      ( ( g @ X )
    <=> b ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ! [X: $i] :
        ( ( g @ X )
      <=> b ),
    inference('cnf.neg',[status(esa)],[gb]) ).

thf(zip_derived_cl6,plain,
    ( ~ b
    | ~ ( g @ sk_ ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl14,plain,
    ( ~ a
    | ~ ( g @ sk_ ) ),
    inference('sup-',[status(thm)],[zip_derived_cl0,zip_derived_cl6]) ).

thf(zip_derived_cl13,plain,
    ! [X0: $i] :
      ( ( f @ X0 )
      | ~ ( g @ X0 ) ),
    inference(cnf_otf,[status(thm)],[zip_derived_cl7]) ).

thf(zip_derived_cl5,plain,
    ( b
    | ( g @ sk_ ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl17,plain,
    ( ( f @ sk_ )
    | b ),
    inference('sup+',[status(thm)],[zip_derived_cl13,zip_derived_cl5]) ).

thf(fa,axiom,
    ! [X: $i] :
      ( ( f @ X )
    <=> a ) ).

thf(zip_derived_cl3,plain,
    ! [X0: $i] :
      ( a
      | ~ ( f @ X0 ) ),
    inference(cnf,[status(esa)],[fa]) ).

thf(zip_derived_cl25,plain,
    ( b
    | a ),
    inference('sup-',[status(thm)],[zip_derived_cl17,zip_derived_cl3]) ).

thf(zip_derived_cl1,plain,
    ( a
    | ~ b ),
    inference(cnf,[status(esa)],[ab]) ).

thf(zip_derived_cl27,plain,
    a,
    inference(clc,[status(thm)],[zip_derived_cl25,zip_derived_cl1]) ).

thf(zip_derived_cl30,plain,
    ~ ( g @ sk_ ),
    inference(demod,[status(thm)],[zip_derived_cl14,zip_derived_cl27]) ).

thf(zip_derived_cl32,plain,
    ~ ( f @ sk_ ),
    inference('sup-',[status(thm)],[zip_derived_cl12,zip_derived_cl30]) ).

thf(zip_derived_cl4,plain,
    ! [X0: $i] :
      ( ( f @ X0 )
      | ~ a ),
    inference(cnf,[status(esa)],[fa]) ).

thf(zip_derived_cl27_001,plain,
    a,
    inference(clc,[status(thm)],[zip_derived_cl25,zip_derived_cl1]) ).

thf(zip_derived_cl29,plain,
    ! [X0: $i] : ( f @ X0 ),
    inference(demod,[status(thm)],[zip_derived_cl4,zip_derived_cl27]) ).

thf(zip_derived_cl35,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl32,zip_derived_cl29]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.18  % Problem  : SYO526^1 : TPTP v9.2.0. Released v5.2.0.
% 0.12/0.19  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.vgyMA25kuP true
% 0.12/0.39  % Computer : n021.cluster.edu
% 0.12/0.39  % Model    : x86_64 x86_64
% 0.12/0.39  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.39  % Memory   : 8042.1875MB
% 0.12/0.39  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.39  % CPULimit : 300
% 0.12/0.39  % WCLimit  : 300
% 0.12/0.39  % DateTime : Wed Oct  1 18:03:53 EDT 2025
% 0.12/0.39  % CPUTime  : 
% 0.12/0.39  % Running portfolio for 300 s
% 0.12/0.39  % File         : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.39  % Number of cores: 8
% 0.12/0.39  % Python version: Python 3.6.8
% 0.12/0.39  % Running in HO mode
% 0.40/0.66  % Total configuration time : 828
% 0.40/0.66  % Estimated wc time : 1656
% 0.40/0.66  % Estimated cpu time (8 cpus) : 207.0
% 0.41/0.73  % /export/starexec/sandbox/solver/bin/lams/40_c.s.sh running for 80s
% 0.41/0.75  % Solved by lams/40_c.s.sh.
% 0.41/0.75  % done 18 iterations in 0.011s
% 0.41/0.75  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.41/0.75  % SZS output start Refutation
% See solution above
% 0.41/0.75  
% 0.41/0.75  
% 0.41/0.76  % Terminating...
% 0.42/0.85  % Runner terminated.
% 1.09/0.86  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------