TSTP Solution File: ITP031^1 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : ITP031^1 : TPTP v8.1.2. Released v7.5.0.
% Transfm  : NO INFORMATION
% Format   : NO INFORMATION
% Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.WYdFZcnAZs true

% Computer : n023.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 Aug 31 05:21:44 EDT 2023

% Result   : Theorem 0.57s 0.88s
% Output   : Refutation 0.57s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :   13
% Syntax   : Number of formulae    :   21 (   6 unt;  10 typ;   0 def)
%            Number of atoms       :   16 (   3 equ;   0 cnn)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :   63 (   8   ~;   2   |;   0   &;  50   @)
%                                         (   0 <=>;   3  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   5 avg)
%            Number of types       :    4 (   3 usr)
%            Number of type conns  :    8 (   8   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    9 (   7 usr;   4 con; 0-2 aty)
%            Number of variables   :    6 (   0   ^;   6   !;   0   ?;   6   :)

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

thf(set_a_type,type,
    set_a: $tType ).

thf(int_type,type,
    int: $tType ).

thf(binary504661350_eqs_a_type,type,
    binary504661350_eqs_a: ( a > int ) > a > set_a ).

thf(h_type,type,
    h: a > int ).

thf(e_type,type,
    e: a ).

thf(x_type,type,
    x: a ).

thf(ord_less_int_type,type,
    ord_less_int: int > int > $o ).

thf(sk__96_type,type,
    sk__96: a ).

thf(member_a_type,type,
    member_a: a > set_a > $o ).

thf(conj_0,conjecture,
    ! [X4: a] :
      ( ( member_a @ X4 @ ( binary504661350_eqs_a @ h @ e ) )
     => ( ( h @ X4 )
       != ( h @ x ) ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ! [X4: a] :
        ( ( member_a @ X4 @ ( binary504661350_eqs_a @ h @ e ) )
       => ( ( h @ X4 )
         != ( h @ x ) ) ),
    inference('cnf.neg',[status(esa)],[conj_0]) ).

thf(zip_derived_cl545,plain,
    ( ( h @ sk__96 )
    = ( h @ x ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(fact_0_eqsLessX,axiom,
    ! [X: a] :
      ( ( member_a @ X @ ( binary504661350_eqs_a @ h @ e ) )
     => ( ord_less_int @ ( h @ X ) @ ( h @ x ) ) ) ).

thf(zip_derived_cl0,plain,
    ! [X0: a] :
      ( ( ord_less_int @ ( h @ X0 ) @ ( h @ x ) )
      | ~ ( member_a @ X0 @ ( binary504661350_eqs_a @ h @ e ) ) ),
    inference(cnf,[status(esa)],[fact_0_eqsLessX]) ).

thf(zip_derived_cl563,plain,
    ( ( ord_less_int @ ( h @ x ) @ ( h @ x ) )
    | ~ ( member_a @ sk__96 @ ( binary504661350_eqs_a @ h @ e ) ) ),
    inference('sup+',[status(thm)],[zip_derived_cl545,zip_derived_cl0]) ).

thf(fact_224_dual__order_Oirrefl,axiom,
    ! [A: int] :
      ~ ( ord_less_int @ A @ A ) ).

thf(zip_derived_cl350,plain,
    ! [X0: int] :
      ~ ( ord_less_int @ X0 @ X0 ),
    inference(cnf,[status(esa)],[fact_224_dual__order_Oirrefl]) ).

thf(zip_derived_cl565,plain,
    ~ ( member_a @ sk__96 @ ( binary504661350_eqs_a @ h @ e ) ),
    inference(demod,[status(thm)],[zip_derived_cl563,zip_derived_cl350]) ).

thf(zip_derived_cl544,plain,
    member_a @ sk__96 @ ( binary504661350_eqs_a @ h @ e ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl634,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl565,zip_derived_cl544]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem  : ITP031^1 : TPTP v8.1.2. Released v7.5.0.
% 0.06/0.13  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.WYdFZcnAZs true
% 0.12/0.33  % Computer : n023.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit : 300
% 0.12/0.33  % WCLimit  : 300
% 0.12/0.33  % DateTime : Sun Aug 27 17:07:41 EDT 2023
% 0.12/0.33  % CPUTime  : 
% 0.12/0.33  % Running portfolio for 300 s
% 0.12/0.33  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.33  % Number of cores: 8
% 0.12/0.34  % Python version: Python 3.6.8
% 0.12/0.34  % Running in HO mode
% 0.55/0.65  % Total configuration time : 828
% 0.55/0.65  % Estimated wc time : 1656
% 0.55/0.65  % Estimated cpu time (8 cpus) : 207.0
% 0.55/0.67  % /export/starexec/sandbox2/solver/bin/lams/40_c.s.sh running for 80s
% 0.55/0.72  % /export/starexec/sandbox2/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.56/0.73  % /export/starexec/sandbox2/solver/bin/lams/40_c_ic.sh running for 80s
% 0.56/0.73  % /export/starexec/sandbox2/solver/bin/lams/40_noforms.sh running for 90s
% 0.56/0.73  % /export/starexec/sandbox2/solver/bin/lams/15_e_short1.sh running for 30s
% 0.56/0.73  % /export/starexec/sandbox2/solver/bin/lams/40_b.comb.sh running for 70s
% 0.56/0.73  % /export/starexec/sandbox2/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 0.56/0.74  % /export/starexec/sandbox2/solver/bin/lams/30_sp5.sh running for 60s
% 0.56/0.77  % /export/starexec/sandbox2/solver/bin/lams/30_b.l.sh running for 90s
% 0.57/0.88  % Solved by lams/40_noforms.sh.
% 0.57/0.88  % done 88 iterations in 0.110s
% 0.57/0.88  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.57/0.88  % SZS output start Refutation
% See solution above
% 0.57/0.88  
% 0.57/0.88  
% 0.57/0.88  % Terminating...
% 0.59/0.95  % Runner terminated.
% 0.59/0.96  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------