TSTP Solution File: SWW473^2 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SWW473^2 : TPTP v8.1.2. Released v5.3.0.
% Transfm  : NO INFORMATION
% Format   : NO INFORMATION
% Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.TTOnFFtKIf true

% Computer : n008.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 : Fri Sep  1 01:42:10 EDT 2023

% Result   : Theorem 39.53s 5.76s
% Output   : Refutation 39.53s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :   16
% Syntax   : Number of formulae    :   27 (   1 unt;  11 typ;   0 def)
%            Number of atoms       :   59 (   2 equ;   0 cnn)
%            Maximal formula atoms :    7 (   3 avg)
%            Number of connectives :  107 (  11   ~;   6   |;   1   &;  86   @)
%                                         (   1 <=>;   2  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   10 (   6 avg)
%            Number of types       :    3 (   2 usr)
%            Number of type conns  :   32 (  32   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   11 (   9 usr;   2 con; 0-3 aty)
%            Number of variables   :   17 (   0   ^;  17   !;   0   ?;  17   :)

% Comments : 
%------------------------------------------------------------------------------
thf(x_a_type,type,
    x_a: $tType ).

thf(pname_type,type,
    pname: $tType ).

thf(image_pname_a_type,type,
    image_pname_a: ( pname > x_a ) > ( pname > $o ) > x_a > $o ).

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

thf(pn_type,type,
    pn: pname ).

thf(mgt_call_type,type,
    mgt_call: pname > x_a ).

thf(u_type,type,
    u: pname > $o ).

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

thf(member_pname_type,type,
    member_pname: pname > ( pname > $o ) > $o ).

thf(ord_less_eq_a_o_type,type,
    ord_less_eq_a_o: ( x_a > $o ) > ( x_a > $o ) > $o ).

thf(insert_a_type,type,
    insert_a: x_a > ( x_a > $o ) > x_a > $o ).

thf(fact_215_image__eqI,axiom,
    ! [A_76: pname > $o,B_40: x_a,F_19: pname > x_a,X_30: pname] :
      ( ( B_40
        = ( F_19 @ X_30 ) )
     => ( ( member_pname @ X_30 @ A_76 )
       => ( member_a @ B_40 @ ( image_pname_a @ F_19 @ A_76 ) ) ) ) ).

thf(zip_derived_cl9,plain,
    ! [X0: x_a,X1: pname > x_a,X2: pname > $o,X3: pname] :
      ( ( member_a @ X0 @ ( image_pname_a @ X1 @ X2 ) )
      | ( X0
       != ( X1 @ X3 ) )
      | ~ ( member_pname @ X3 @ X2 ) ),
    inference(cnf,[status(esa)],[fact_215_image__eqI]) ).

thf(zip_derived_cl2048,plain,
    ! [X1: pname > x_a,X2: pname > $o,X3: pname] :
      ( ~ ( member_pname @ X3 @ X2 )
      | ( member_a @ ( X1 @ X3 ) @ ( image_pname_a @ X1 @ X2 ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl9]) ).

thf(fact_324_insert__subset,axiom,
    ! [X_19: x_a,A_44: x_a > $o,B_18: x_a > $o] :
      ( ( ord_less_eq_a_o @ ( insert_a @ X_19 @ A_44 ) @ B_18 )
    <=> ( ( member_a @ X_19 @ B_18 )
        & ( ord_less_eq_a_o @ A_44 @ B_18 ) ) ) ).

thf(zip_derived_cl44,plain,
    ! [X0: x_a,X1: x_a > $o,X2: x_a > $o] :
      ( ( ord_less_eq_a_o @ ( insert_a @ X0 @ X1 ) @ X2 )
      | ~ ( ord_less_eq_a_o @ X1 @ X2 )
      | ~ ( member_a @ X0 @ X2 ) ),
    inference(cnf,[status(esa)],[fact_324_insert__subset]) ).

thf(conj_6,conjecture,
    ord_less_eq_a_o @ ( insert_a @ ( mgt_call @ pn ) @ g ) @ ( image_pname_a @ mgt_call @ u ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ( ord_less_eq_a_o @ ( insert_a @ ( mgt_call @ pn ) @ g ) @ ( image_pname_a @ mgt_call @ u ) ),
    inference('cnf.neg',[status(esa)],[conj_6]) ).

thf(zip_derived_cl86,plain,
    ~ ( ord_less_eq_a_o @ ( insert_a @ ( mgt_call @ pn ) @ g ) @ ( image_pname_a @ mgt_call @ u ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl4449,plain,
    ( ~ ( member_a @ ( mgt_call @ pn ) @ ( image_pname_a @ mgt_call @ u ) )
    | ~ ( ord_less_eq_a_o @ g @ ( image_pname_a @ mgt_call @ u ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl44,zip_derived_cl86]) ).

thf(conj_1,axiom,
    ord_less_eq_a_o @ g @ ( image_pname_a @ mgt_call @ u ) ).

thf(zip_derived_cl83,plain,
    ord_less_eq_a_o @ g @ ( image_pname_a @ mgt_call @ u ),
    inference(cnf,[status(esa)],[conj_1]) ).

thf(zip_derived_cl4527,plain,
    ~ ( member_a @ ( mgt_call @ pn ) @ ( image_pname_a @ mgt_call @ u ) ),
    inference(demod,[status(thm)],[zip_derived_cl4449,zip_derived_cl83]) ).

thf(zip_derived_cl4586,plain,
    ~ ( member_pname @ pn @ u ),
    inference('sup-',[status(thm)],[zip_derived_cl2048,zip_derived_cl4527]) ).

thf(conj_4,axiom,
    member_pname @ pn @ u ).

thf(zip_derived_cl84,plain,
    member_pname @ pn @ u,
    inference(cnf,[status(esa)],[conj_4]) ).

thf(zip_derived_cl4595,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl4586,zip_derived_cl84]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : SWW473^2 : TPTP v8.1.2. Released v5.3.0.
% 0.00/0.13  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.TTOnFFtKIf true
% 0.13/0.34  % Computer : n008.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 300
% 0.13/0.34  % DateTime : Sun Aug 27 18:46:02 EDT 2023
% 0.13/0.34  % CPUTime  : 
% 0.13/0.34  % Running portfolio for 300 s
% 0.13/0.34  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.35  % Number of cores: 8
% 0.13/0.35  % Python version: Python 3.6.8
% 0.13/0.35  % Running in HO mode
% 0.20/0.65  % Total configuration time : 828
% 0.20/0.65  % Estimated wc time : 1656
% 0.20/0.65  % Estimated cpu time (8 cpus) : 207.0
% 0.20/0.69  % /export/starexec/sandbox2/solver/bin/lams/40_c.s.sh running for 80s
% 0.20/0.73  % /export/starexec/sandbox2/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.20/0.73  % /export/starexec/sandbox2/solver/bin/lams/40_c_ic.sh running for 80s
% 0.20/0.73  % /export/starexec/sandbox2/solver/bin/lams/15_e_short1.sh running for 30s
% 0.20/0.75  % /export/starexec/sandbox2/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 0.20/0.75  % /export/starexec/sandbox2/solver/bin/lams/40_b.comb.sh running for 70s
% 0.20/0.75  % /export/starexec/sandbox2/solver/bin/lams/40_noforms.sh running for 90s
% 0.20/0.76  % /export/starexec/sandbox2/solver/bin/lams/30_sp5.sh running for 60s
% 0.20/0.84  % /export/starexec/sandbox2/solver/bin/lams/30_b.l.sh running for 90s
% 39.53/5.76  % Solved by lams/40_c_ic.sh.
% 39.53/5.76  % done 382 iterations in 4.995s
% 39.53/5.76  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 39.53/5.76  % SZS output start Refutation
% See solution above
% 39.53/5.76  
% 39.53/5.76  
% 39.53/5.76  % Terminating...
% 40.17/5.87  % Runner terminated.
% 40.17/5.87  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------