TSTP Solution File: SWW473^3 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SWW473^3 : TPTP v8.1.2. Released v5.3.0.
% Transfm  : NO INFORMATION
% Format   : NO INFORMATION
% Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.zqMuKfueVL true

% Computer : n028.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 01:42:11 EDT 2023

% Result   : Theorem 36.16s 5.45s
% Output   : Refutation 36.16s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :   16
% Syntax   : Number of formulae    :   23 (   1 unt;  11 typ;   0 def)
%            Number of atoms       :   48 (   0 equ;   0 cnn)
%            Maximal formula atoms :    7 (   4 avg)
%            Number of connectives :   83 (   2   ~;   0   |;   2   &;  69   @)
%                                         (   2 <=>;   2  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   12 (   6 avg)
%            Number of types       :    3 (   2 usr)
%            Number of type conns  :   30 (  30   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   11 (   9 usr;   3 con; 0-3 aty)
%                                         (   6  !!;   0  ??;   0 @@+;   0 @@-)
%            Number of variables   :   12 (   6   ^;   6   !;   0   ?;  12   :)

% Comments : 
%------------------------------------------------------------------------------
thf(pname_type,type,
    pname: $tType ).

thf(x_a_type,type,
    x_a: $tType ).

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

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

thf(pn_type,type,
    pn: pname ).

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

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

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

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

thf(zip_derived_cl1212,plain,
    member_pname @ pn @ u,
    inference(cnf,[status(esa)],[conj_4]) ).

thf(fact_434_imageI,axiom,
    ! [F_34: pname > x_a,X_31: pname,A_112: pname > $o] :
      ( ( member_pname @ X_31 @ A_112 )
     => ( member_a @ ( F_34 @ X_31 ) @ ( image_pname_a @ F_34 @ A_112 ) ) ) ).

thf(zip_derived_cl434,plain,
    ( !!
    @ ^ [Y0: pname > x_a] :
        ( !!
        @ ^ [Y1: pname] :
            ( !!
            @ ^ [Y2: pname > $o] :
                ( ( member_pname @ Y1 @ Y2 )
               => ( member_a @ ( Y0 @ Y1 ) @ ( image_pname_a @ Y0 @ Y2 ) ) ) ) ) ),
    inference(cnf,[status(esa)],[fact_434_imageI]) ).

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

thf(zip_derived_cl1209,plain,
    ord_less_eq_a_o @ g @ ( image_pname_a @ mgt_call @ u ),
    inference(cnf,[status(esa)],[conj_1]) ).

thf(fact_453_insert__subset,axiom,
    ! [X_27: x_a,A_109: x_a > $o,B_57: x_a > $o] :
      ( ( ord_less_eq_a_o @ ( insert_a @ X_27 @ A_109 ) @ B_57 )
    <=> ( ( ord_less_eq_a_o @ A_109 @ B_57 )
        & ( member_a @ X_27 @ B_57 ) ) ) ).

thf(zip_derived_cl453,plain,
    ( !!
    @ ^ [Y0: x_a] :
        ( !!
        @ ^ [Y1: x_a > $o] :
            ( !!
            @ ^ [Y2: x_a > $o] :
                ( ( ord_less_eq_a_o @ ( insert_a @ Y0 @ Y1 ) @ Y2 )
              <=> ( ( ord_less_eq_a_o @ Y1 @ Y2 )
                  & ( member_a @ Y0 @ Y2 ) ) ) ) ) ),
    inference(cnf,[status(esa)],[fact_453_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_cl1214,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_cl4128,plain,
    $false,
    inference(eprover,[status(thm)],[zip_derived_cl1212,zip_derived_cl434,zip_derived_cl1209,zip_derived_cl453,zip_derived_cl1214]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : SWW473^3 : TPTP v8.1.2. Released v5.3.0.
% 0.00/0.13  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.zqMuKfueVL true
% 0.13/0.34  % Computer : n028.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 22:29:39 EDT 2023
% 0.13/0.35  % CPUTime  : 
% 0.13/0.35  % Running portfolio for 300 s
% 0.13/0.35  % File         : /export/starexec/sandbox/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
% 0.20/0.73  % /export/starexec/sandbox/solver/bin/lams/40_c.s.sh running for 80s
% 0.20/0.73  % /export/starexec/sandbox/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.20/0.77  % /export/starexec/sandbox/solver/bin/lams/40_c_ic.sh running for 80s
% 0.20/0.77  % /export/starexec/sandbox/solver/bin/lams/40_noforms.sh running for 90s
% 0.20/0.77  % /export/starexec/sandbox/solver/bin/lams/40_b.comb.sh running for 70s
% 0.20/0.77  % /export/starexec/sandbox/solver/bin/lams/15_e_short1.sh running for 30s
% 0.20/0.77  % /export/starexec/sandbox/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 0.20/0.80  % /export/starexec/sandbox/solver/bin/lams/30_sp5.sh running for 60s
% 1.48/0.91  % /export/starexec/sandbox/solver/bin/lams/30_b.l.sh running for 90s
% 36.16/5.45  % Solved by lams/15_e_short1.sh.
% 36.16/5.45  % done 109 iterations in 4.637s
% 36.16/5.45  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 36.16/5.45  % SZS output start Refutation
% See solution above
% 36.16/5.45  
% 36.16/5.45  
% 36.16/5.45  % Terminating...
% 37.28/5.59  % Runner terminated.
% 37.28/5.61  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------