%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : ALG248^3 : TPTP v8.1.2. Bugfixed v5.2.0.
% Transfm  : NO INFORMATION
% Format   : NO INFORMATION
% Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.NrUC5ETRMz true

% Computer : n011.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 17:12:26 EDT 2023

% Result   : Theorem 1.38s 0.79s
% Output   : Refutation 1.38s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :   23
% Syntax   : Number of formulae    :   31 (  16 unt;  13 typ;   0 def)
%            Number of atoms       :   37 (  14 equ;   0 cnn)
%            Maximal formula atoms :    2 (   2 avg)
%            Number of connectives :   99 (   4   ~;   2   |;   0   &;  76   @)
%                                         (   5 <=>;  12  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   15 (   3 avg)
%            Number of types       :    3 (   2 usr)
%            Number of type conns  :   26 (  26   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   13 (  11 usr;   7 con; 0-4 aty)
%            Number of variables   :   44 (  12   ^;  32   !;   0   ?;  44   :)

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

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

thf(axvarcons_type,type,
    axvarcons: $o ).

thf(pushprop_lem1v2_type,type,
    pushprop_lem1v2: $o ).

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

thf(one_type,type,
    one: term ).

thf(sk__26_type,type,
    sk__26: term ).

thf(sk__24_type,type,
    sk__24: term > $o ).

thf(pushprop_p_and_p_prime_type,type,
    pushprop_p_and_p_prime: term > subst > ( term > $o ) > ( term > $o ) > $o ).

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

thf(sk__27_type,type,
    sk__27: subst ).

thf(sk__25_type,type,
    sk__25: term > $o ).

thf(pushprop_lem1v2_lthm_type,type,
    pushprop_lem1v2_lthm: $o ).

thf(pushprop_lem1v2_lthm,axiom,
    ( pushprop_lem1v2_lthm
    = ( axvarcons
     => pushprop_lem1v2 ) ) ).

thf('0',plain,
    ( pushprop_lem1v2_lthm
    = ( axvarcons
     => pushprop_lem1v2 ) ),
    define([status(thm)]) ).

thf(pushprop_lem1v2,axiom,
    ( pushprop_lem1v2
    = ( ! [P: term > $o,Q: term > $o,A: term,M: subst] :
          ( ( P @ A )
         => ( ( pushprop_p_and_p_prime @ A @ M @ P @ Q )
           => ( Q @ one ) ) ) ) ) ).

thf('1',plain,
    ( pushprop_lem1v2
    = ( ! [X4: term > $o,X6: term > $o,X8: term,X10: subst] :
          ( ( X4 @ X8 )
         => ( ( pushprop_p_and_p_prime @ X8 @ X10 @ X4 @ X6 )
           => ( X6 @ one ) ) ) ) ),
    define([status(thm)]) ).

thf(pushprop_p_and_p_prime,axiom,
    ( pushprop_p_and_p_prime
    = ( ^ [A: term,M: subst,P: term > $o,Q: term > $o] :
        ! [X: term] :
          ( ( Q @ X )
        <=> ( P @ ( sub @ X @ ( push @ A @ M ) ) ) ) ) ) ).

thf('2',plain,
    ( pushprop_p_and_p_prime
    = ( ^ [A: term,M: subst,P: term > $o,Q: term > $o] :
        ! [X: term] :
          ( ( Q @ X )
        <=> ( P @ ( sub @ X @ ( push @ A @ M ) ) ) ) ) ),
    inference(simplify_rw_rule,[status(thm)],[pushprop_p_and_p_prime]) ).

thf('3',plain,
    ( pushprop_p_and_p_prime
    = ( ^ [V_1: term,V_2: subst,V_3: term > $o,V_4: term > $o] :
        ! [X4: term] :
          ( ( V_4 @ X4 )
        <=> ( V_3 @ ( sub @ X4 @ ( push @ V_1 @ V_2 ) ) ) ) ) ),
    define([status(thm)]) ).

thf(axvarcons,axiom,
    ( axvarcons
    = ( ! [A: term,M: subst] :
          ( ( sub @ one @ ( push @ A @ M ) )
          = A ) ) ) ).

thf('4',plain,
    ( axvarcons
    = ( ! [X4: term,X6: subst] :
          ( ( sub @ one @ ( push @ X4 @ X6 ) )
          = X4 ) ) ),
    define([status(thm)]) ).

thf(thm,conjecture,
    pushprop_lem1v2_lthm ).

thf(zf_stmt_0,conjecture,
    ( ! [X4: term,X6: subst] :
        ( ( sub @ one @ ( push @ X4 @ X6 ) )
        = X4 )
   => ! [X8: term > $o,X10: term > $o,X12: term,X14: subst] :
        ( ( X8 @ X12 )
       => ( ! [X16: term] :
              ( ( X10 @ X16 )
            <=> ( X8 @ ( sub @ X16 @ ( push @ X12 @ X14 ) ) ) )
         => ( X10 @ one ) ) ) ) ).

thf(zf_stmt_1,negated_conjecture,
    ~ ( ! [X4: term,X6: subst] :
          ( ( sub @ one @ ( push @ X4 @ X6 ) )
          = X4 )
     => ! [X8: term > $o,X10: term > $o,X12: term,X14: subst] :
          ( ( X8 @ X12 )
         => ( ! [X16: term] :
                ( ( X10 @ X16 )
              <=> ( X8 @ ( sub @ X16 @ ( push @ X12 @ X14 ) ) ) )
           => ( X10 @ one ) ) ) ),
    inference('cnf.neg',[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl0,plain,
    ! [X0: term,X1: subst] :
      ( ( sub @ one @ ( push @ X0 @ X1 ) )
      = X0 ),
    inference(cnf,[status(esa)],[zf_stmt_1]) ).

thf(zip_derived_cl3,plain,
    ! [X2: term] :
      ( ( sk__25 @ X2 )
      | ~ ( sk__24 @ ( sub @ X2 @ ( push @ sk__26 @ sk__27 ) ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_1]) ).

thf(zip_derived_cl10,plain,
    ( ~ ( sk__24 @ sk__26 )
    | ( sk__25 @ one ) ),
    inference('sup-',[status(thm)],[zip_derived_cl0,zip_derived_cl3]) ).

thf(zip_derived_cl2,plain,
    sk__24 @ sk__26,
    inference(cnf,[status(esa)],[zf_stmt_1]) ).

thf(zip_derived_cl1,plain,
    ~ ( sk__25 @ one ),
    inference(cnf,[status(esa)],[zf_stmt_1]) ).

thf(zip_derived_cl15,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl10,zip_derived_cl2,zip_derived_cl1]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12  % Problem  : ALG248^3 : TPTP v8.1.2. Bugfixed v5.2.0.
% 0.10/0.13  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.NrUC5ETRMz true
% 0.14/0.35  % Computer : n011.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit : 300
% 0.14/0.35  % WCLimit  : 300
% 0.14/0.35  % DateTime : Mon Aug 28 03:13:55 EDT 2023
% 0.14/0.35  % CPUTime  : 
% 0.14/0.35  % Running portfolio for 300 s
% 0.14/0.35  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.21/0.35  % Number of cores: 8
% 0.21/0.35  % Python version: Python 3.6.8
% 0.21/0.35  % Running in HO mode
% 0.22/0.66  % Total configuration time : 828
% 0.22/0.66  % Estimated wc time : 1656
% 0.22/0.66  % Estimated cpu time (8 cpus) : 207.0
% 0.93/0.75  % /export/starexec/sandbox2/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.93/0.75  % /export/starexec/sandbox2/solver/bin/lams/40_c.s.sh running for 80s
% 0.93/0.75  % /export/starexec/sandbox2/solver/bin/lams/40_c_ic.sh running for 80s
% 0.93/0.75  % /export/starexec/sandbox2/solver/bin/lams/15_e_short1.sh running for 30s
% 1.38/0.76  % /export/starexec/sandbox2/solver/bin/lams/40_noforms.sh running for 90s
% 1.38/0.76  % /export/starexec/sandbox2/solver/bin/lams/40_b.comb.sh running for 70s
% 1.38/0.76  % /export/starexec/sandbox2/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 1.38/0.76  % /export/starexec/sandbox2/solver/bin/lams/30_sp5.sh running for 60s
% 1.38/0.79  % Solved by lams/40_c.s.sh.
% 1.38/0.79  % done 4 iterations in 0.021s
% 1.38/0.79  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 1.38/0.79  % SZS output start Refutation
% See solution above
% 1.38/0.79  
% 1.38/0.79  
% 1.38/0.79  % Terminating...
% 2.02/0.87  % Runner terminated.
% 2.02/0.88  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------