%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : ALG267^2 : TPTP v8.1.2. Bugfixed v5.2.0.
% Transfm  : NO INFORMATION
% Format   : NO INFORMATION
% Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.j7t6LZoqmA 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 : Wed Aug 30 17:12:36 EDT 2023

% Result   : Theorem 0.22s 0.75s
% Output   : Refutation 0.22s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :   15
% Syntax   : Number of formulae    :   21 (  12 unt;   9 typ;   0 def)
%            Number of atoms       :   22 (  12 equ;   0 cnn)
%            Maximal formula atoms :    1 (   1 avg)
%            Number of connectives :   44 (   4   ~;   0   |;   0   &;  40   @)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    4 (   2 avg)
%            Number of types       :    3 (   2 usr)
%            Number of type conns  :   14 (  14   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    9 (   7 usr;   6 con; 0-2 aty)
%            Number of variables   :   13 (   2   ^;   7   !;   4   ?;  13   :)

% Comments : 
%------------------------------------------------------------------------------
thf(term_type,type,
    term: $tType ).

thf(subst_type,type,
    subst: $tType ).

thf(push_type,type,
    push: term > subst > subst ).

thf(hoasinduction_lem3b_type,type,
    hoasinduction_lem3b: $o ).

thf(one_type,type,
    one: term ).

thf(sh_type,type,
    sh: subst ).

thf(hoasinduction_lem3b_lthm_type,type,
    hoasinduction_lem3b_lthm: $o ).

thf(sub_type,type,
    sub: term > subst > term ).

thf(sk__46_type,type,
    sk__46: term ).

thf(hoasinduction_lem3b_lthm,axiom,
    hoasinduction_lem3b_lthm = hoasinduction_lem3b ).

thf(hoasinduction_lem3b,axiom,
    ( hoasinduction_lem3b
    = ( ! [B: term] :
        ? [F: subst > term > term] :
          ( ( sub @ B @ ( push @ one @ sh ) )
          = ( F @ sh @ one ) ) ) ) ).

thf('0',plain,
    ( hoasinduction_lem3b
    = ( ! [X4: term] :
        ? [X6: subst > term > term] :
          ( ( sub @ X4 @ ( push @ one @ sh ) )
          = ( X6 @ sh @ one ) ) ) ),
    define([status(thm)]) ).

thf('1',plain,
    hoasinduction_lem3b_lthm = hoasinduction_lem3b,
    inference(simplify_rw_rule,[status(thm)],[hoasinduction_lem3b_lthm,'0']) ).

thf('2',plain,
    hoasinduction_lem3b_lthm = hoasinduction_lem3b,
    define([status(thm)]) ).

thf(thm,conjecture,
    hoasinduction_lem3b_lthm ).

thf(zf_stmt_0,conjecture,
    ! [X4: term] :
    ? [X6: subst > term > term] :
      ( ( sub @ X4 @ ( push @ one @ sh ) )
      = ( X6 @ sh @ one ) ) ).

thf(zf_stmt_1,negated_conjecture,
    ~ ! [X4: term] :
      ? [X6: subst > term > term] :
        ( ( sub @ X4 @ ( push @ one @ sh ) )
        = ( X6 @ sh @ one ) ),
    inference('cnf.neg',[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl0,plain,
    ! [X0: subst > term > term] :
      ( ( sub @ sk__46 @ ( push @ one @ sh ) )
     != ( X0 @ sh @ one ) ),
    inference(cnf,[status(esa)],[zf_stmt_1]) ).

thf(zip_derived_cl1,plain,
    ! [X0: term] :
      ( ( sub @ sk__46 @ ( push @ one @ sh ) )
     != ( ^ [Y0: subst,Y1: term] : X0
        @ sh
        @ one ) ),
    inference(prune_arg_fun,[status(thm)],[zip_derived_cl0]) ).

thf(zip_derived_cl2,plain,
    ! [X0: term] :
      ( ( sub @ sk__46 @ ( push @ one @ sh ) )
     != X0 ),
    inference(ho_norm,[status(thm)],[zip_derived_cl1]) ).

thf(zip_derived_cl3,plain,
    $false,
    inference(simplify,[status(thm)],[zip_derived_cl2]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : ALG267^2 : TPTP v8.1.2. Bugfixed v5.2.0.
% 0.00/0.13  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.j7t6LZoqmA true
% 0.16/0.35  % Computer : n018.cluster.edu
% 0.16/0.35  % Model    : x86_64 x86_64
% 0.16/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.35  % Memory   : 8042.1875MB
% 0.16/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.16/0.35  % CPULimit : 300
% 0.16/0.35  % WCLimit  : 300
% 0.16/0.35  % DateTime : Mon Aug 28 05:02:31 EDT 2023
% 0.16/0.35  % CPUTime  : 
% 0.16/0.35  % Running portfolio for 300 s
% 0.16/0.35  % File         : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.16/0.35  % Number of cores: 8
% 0.16/0.35  % Python version: Python 3.6.8
% 0.16/0.36  % Running in HO mode
% 0.22/0.64  % Total configuration time : 828
% 0.22/0.64  % Estimated wc time : 1656
% 0.22/0.64  % Estimated cpu time (8 cpus) : 207.0
% 0.22/0.70  % /export/starexec/sandbox/solver/bin/lams/40_c.s.sh running for 80s
% 0.22/0.72  % /export/starexec/sandbox/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.22/0.75  % Solved by lams/40_c.s.sh.
% 0.22/0.75  % done 0 iterations in 0.018s
% 0.22/0.75  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.22/0.75  % SZS output start Refutation
% See solution above
% 0.22/0.75  
% 0.22/0.75  
% 0.22/0.75  % Terminating...
% 0.22/0.85  % Runner terminated.
% 0.22/0.86  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------