TSTP Solution File: SWW474^1 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SWW474^1 : 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.JtbGFGoK69 true

% Computer : n022.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 01:42:12 EDT 2023

% Result   : Theorem 12.43s 2.25s
% Output   : Refutation 12.43s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :   27
% Syntax   : Number of formulae    :   45 (  10 unt;  19 typ;   0 def)
%            Number of atoms       :   71 (   6 equ;   0 cnn)
%            Maximal formula atoms :    7 (   2 avg)
%            Number of connectives :  124 (  15   ~;  11   |;   0   &;  91   @)
%                                         (   0 <=>;   7  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   5 avg)
%            Number of types       :    5 (   4 usr)
%            Number of type conns  :   36 (  36   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   17 (  15 usr;   5 con; 0-3 aty)
%            Number of variables   :   23 (   3   ^;  20   !;   0   ?;  23   :)

% Comments : 
%------------------------------------------------------------------------------
thf(com_type,type,
    com: $tType ).

thf(hoare_1262092251_state_type,type,
    hoare_1262092251_state: $tType ).

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

thf(option_com_type,type,
    option_com: $tType ).

thf(bot_bo113204042tate_o_type,type,
    bot_bo113204042tate_o: hoare_1262092251_state > $o ).

thf(wt_type,type,
    wt: com > $o ).

thf(hoare_Mirabelle_MGT_type,type,
    hoare_Mirabelle_MGT: com > hoare_1262092251_state ).

thf(y_type,type,
    y: com ).

thf(hoare_1821564147gleton_type,type,
    hoare_1821564147gleton: $o ).

thf(body_type,type,
    body: pname > option_com ).

thf(dom_pname_com_type,type,
    dom_pname_com: ( pname > option_com ) > pname > $o ).

thf(image_669833818_state_type,type,
    image_669833818_state: ( pname > hoare_1262092251_state ) > ( pname > $o ) > hoare_1262092251_state > $o ).

thf(body_1_type,type,
    body_1: pname > com ).

thf(pn_type,type,
    pn: pname ).

thf(insert81609953_state_type,type,
    insert81609953_state: hoare_1262092251_state > ( hoare_1262092251_state > $o ) > hoare_1262092251_state > $o ).

thf(wT_bodies_type,type,
    wT_bodies: $o ).

thf(some_com_type,type,
    some_com: com > option_com ).

thf(hoare_930741239_state_type,type,
    hoare_930741239_state: ( hoare_1262092251_state > $o ) > ( hoare_1262092251_state > $o ) > $o ).

thf(ord_le870406270tate_o_type,type,
    ord_le870406270tate_o: ( hoare_1262092251_state > $o ) > ( hoare_1262092251_state > $o ) > $o ).

thf(fact_103_MGF,axiom,
    ! [C_1: com] :
      ( hoare_1821564147gleton
     => ( wT_bodies
       => ( ( wt @ C_1 )
         => ( hoare_930741239_state @ bot_bo113204042tate_o @ ( insert81609953_state @ ( hoare_Mirabelle_MGT @ C_1 ) @ bot_bo113204042tate_o ) ) ) ) ) ).

thf(zip_derived_cl23,plain,
    ! [X0: com] :
      ( ~ wT_bodies
      | ~ hoare_1821564147gleton
      | ~ ( wt @ X0 )
      | ( hoare_930741239_state @ bot_bo113204042tate_o @ ( insert81609953_state @ ( hoare_Mirabelle_MGT @ X0 ) @ bot_bo113204042tate_o ) ) ),
    inference(cnf,[status(esa)],[fact_103_MGF]) ).

thf(conj_1,axiom,
    wT_bodies ).

thf(zip_derived_cl199,plain,
    wT_bodies,
    inference(cnf,[status(esa)],[conj_1]) ).

thf(conj_0,axiom,
    hoare_1821564147gleton ).

thf(zip_derived_cl198,plain,
    hoare_1821564147gleton,
    inference(cnf,[status(esa)],[conj_0]) ).

thf(zip_derived_cl1683,plain,
    ! [X0: com] :
      ( ~ ( wt @ X0 )
      | ( hoare_930741239_state @ bot_bo113204042tate_o @ ( insert81609953_state @ ( hoare_Mirabelle_MGT @ X0 ) @ bot_bo113204042tate_o ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl23,zip_derived_cl199,zip_derived_cl198]) ).

thf(fact_33_empty__subsetI,axiom,
    ! [A_76: hoare_1262092251_state > $o] : ( ord_le870406270tate_o @ bot_bo113204042tate_o @ A_76 ) ).

thf(zip_derived_cl10,plain,
    ! [X0: hoare_1262092251_state > $o] : ( ord_le870406270tate_o @ bot_bo113204042tate_o @ X0 ),
    inference(cnf,[status(esa)],[fact_33_empty__subsetI]) ).

thf(fact_3_thin,axiom,
    ! [G_6: hoare_1262092251_state > $o,G_5: hoare_1262092251_state > $o,Ts_3: hoare_1262092251_state > $o] :
      ( ( hoare_930741239_state @ G_5 @ Ts_3 )
     => ( ( ord_le870406270tate_o @ G_5 @ G_6 )
       => ( hoare_930741239_state @ G_6 @ Ts_3 ) ) ) ).

thf(zip_derived_cl3,plain,
    ! [X0: hoare_1262092251_state > $o,X1: hoare_1262092251_state > $o,X2: hoare_1262092251_state > $o] :
      ( ~ ( ord_le870406270tate_o @ X0 @ X1 )
      | ~ ( hoare_930741239_state @ X0 @ X2 )
      | ( hoare_930741239_state @ X1 @ X2 ) ),
    inference(cnf,[status(esa)],[fact_3_thin]) ).

thf(zip_derived_cl384,plain,
    ! [X0: hoare_1262092251_state > $o,X1: hoare_1262092251_state > $o] :
      ( ( hoare_930741239_state @ X0 @ X1 )
      | ~ ( hoare_930741239_state @ bot_bo113204042tate_o @ X1 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl10,zip_derived_cl3]) ).

thf(conj_7,conjecture,
    ( hoare_930741239_state
    @ ( image_669833818_state
      @ ^ [Pn: pname] : ( hoare_Mirabelle_MGT @ ( body_1 @ Pn ) )
      @ ( dom_pname_com @ body ) )
    @ ( insert81609953_state @ ( hoare_Mirabelle_MGT @ y ) @ bot_bo113204042tate_o ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ( hoare_930741239_state
      @ ( image_669833818_state
        @ ^ [Pn: pname] : ( hoare_Mirabelle_MGT @ ( body_1 @ Pn ) )
        @ ( dom_pname_com @ body ) )
      @ ( insert81609953_state @ ( hoare_Mirabelle_MGT @ y ) @ bot_bo113204042tate_o ) ),
    inference('cnf.neg',[status(esa)],[conj_7]) ).

thf(zip_derived_cl205,plain,
    ~ ( hoare_930741239_state
      @ ( image_669833818_state
        @ ^ [Y0: pname] : ( hoare_Mirabelle_MGT @ ( body_1 @ Y0 ) )
        @ ( dom_pname_com @ body ) )
      @ ( insert81609953_state @ ( hoare_Mirabelle_MGT @ y ) @ bot_bo113204042tate_o ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl1288,plain,
    ~ ( hoare_930741239_state @ bot_bo113204042tate_o @ ( insert81609953_state @ ( hoare_Mirabelle_MGT @ y ) @ bot_bo113204042tate_o ) ),
    inference('sup-',[status(thm)],[zip_derived_cl384,zip_derived_cl205]) ).

thf(zip_derived_cl1692,plain,
    ~ ( wt @ y ),
    inference('sup-',[status(thm)],[zip_derived_cl1683,zip_derived_cl1288]) ).

thf(conj_5,axiom,
    ( ( body @ pn )
    = ( some_com @ y ) ) ).

thf(zip_derived_cl203,plain,
    ( ( body @ pn )
    = ( some_com @ y ) ),
    inference(cnf,[status(esa)],[conj_5]) ).

thf(fact_288_WT__bodiesD,axiom,
    ! [Pn_1: pname,B_3: com] :
      ( wT_bodies
     => ( ( ( body @ Pn_1 )
          = ( some_com @ B_3 ) )
       => ( wt @ B_3 ) ) ) ).

thf(zip_derived_cl174,plain,
    ! [X0: com,X1: pname] :
      ( ~ wT_bodies
      | ( wt @ X0 )
      | ( ( body @ X1 )
       != ( some_com @ X0 ) ) ),
    inference(cnf,[status(esa)],[fact_288_WT__bodiesD]) ).

thf(zip_derived_cl199_001,plain,
    wT_bodies,
    inference(cnf,[status(esa)],[conj_1]) ).

thf(zip_derived_cl679,plain,
    ! [X0: com,X1: pname] :
      ( ( wt @ X0 )
      | ( ( body @ X1 )
       != ( some_com @ X0 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl174,zip_derived_cl199]) ).

thf(zip_derived_cl680,plain,
    ! [X0: pname] :
      ( ( ( body @ X0 )
       != ( body @ pn ) )
      | ( wt @ y ) ),
    inference('sup-',[status(thm)],[zip_derived_cl203,zip_derived_cl679]) ).

thf(zip_derived_cl682,plain,
    wt @ y,
    inference(eq_res,[status(thm)],[zip_derived_cl680]) ).

thf(zip_derived_cl1714,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl1692,zip_derived_cl682]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem  : SWW474^1 : TPTP v8.1.2. Released v5.3.0.
% 0.00/0.14  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.JtbGFGoK69 true
% 0.13/0.35  % Computer : n022.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit : 300
% 0.13/0.35  % WCLimit  : 300
% 0.13/0.35  % DateTime : Sun Aug 27 22:55:54 EDT 2023
% 0.13/0.35  % CPUTime  : 
% 0.13/0.35  % Running portfolio for 300 s
% 0.13/0.35  % 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
% 0.13/0.36  % Running in HO mode
% 0.22/0.69  % Total configuration time : 828
% 0.22/0.69  % Estimated wc time : 1656
% 0.22/0.69  % Estimated cpu time (8 cpus) : 207.0
% 1.03/0.76  % /export/starexec/sandbox2/solver/bin/lams/40_c.s.sh running for 80s
% 1.03/0.76  % /export/starexec/sandbox2/solver/bin/lams/15_e_short1.sh running for 30s
% 1.03/0.76  % /export/starexec/sandbox2/solver/bin/lams/35_full_unif4.sh running for 80s
% 1.03/0.77  % /export/starexec/sandbox2/solver/bin/lams/40_c_ic.sh running for 80s
% 1.03/0.77  % /export/starexec/sandbox2/solver/bin/lams/40_noforms.sh running for 90s
% 1.03/0.77  % /export/starexec/sandbox2/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 1.03/0.77  % /export/starexec/sandbox2/solver/bin/lams/40_b.comb.sh running for 70s
% 1.03/0.78  % /export/starexec/sandbox2/solver/bin/lams/30_sp5.sh running for 60s
% 1.03/0.80  % /export/starexec/sandbox2/solver/bin/lams/30_b.l.sh running for 90s
% 12.43/2.25  % Solved by lams/40_c.s.sh.
% 12.43/2.25  % done 201 iterations in 1.459s
% 12.43/2.25  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 12.43/2.25  % SZS output start Refutation
% See solution above
% 12.43/2.25  
% 12.43/2.25  
% 12.43/2.25  % Terminating...
% 12.94/2.35  % Runner terminated.
% 12.94/2.36  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------