TSTP Solution File: SWW474^2 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SWW474^2 : 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.jU6Zc2jxAS true

% Computer : n025.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 01:42:13 EDT 2023

% Result   : Theorem 30.10s 4.52s
% Output   : Refutation 30.10s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :   32
% Syntax   : Number of formulae    :   51 (  16 unt;  20 typ;   0 def)
%            Number of atoms       :   97 (  14 equ;   0 cnn)
%            Maximal formula atoms :    8 (   3 avg)
%            Number of connectives :  136 (   3   ~;   0   |;   0   &; 103   @)
%                                         (   4 <=>;  14  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   11 (   5 avg)
%            Number of types       :    5 (   4 usr)
%            Number of type conns  :   42 (  42   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   19 (  16 usr;   6 con; 0-3 aty)
%                                         (  12  !!;   0  ??;   0 @@+;   0 @@-)
%            Number of variables   :   35 (  19   ^;  16   !;   0   ?;  35   :)

% Comments : 
%------------------------------------------------------------------------------
thf(option_com_type,type,
    option_com: $tType ).

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

thf(com_type,type,
    com: $tType ).

thf(hoare_1167836817_state_type,type,
    hoare_1167836817_state: $tType ).

thf(y_type,type,
    y: com ).

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

thf(member2058392318_state_type,type,
    member2058392318_state: hoare_1167836817_state > ( hoare_1167836817_state > $o ) > $o ).

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

thf(pn_type,type,
    pn: pname ).

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

thf(insert2134838167_state_type,type,
    insert2134838167_state: hoare_1167836817_state > ( hoare_1167836817_state > $o ) > hoare_1167836817_state > $o ).

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

thf(image_575578384_state_type,type,
    image_575578384_state: ( pname > hoare_1167836817_state ) > ( pname > $o ) > hoare_1167836817_state > $o ).

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

thf(bot_bo70021908tate_o_type,type,
    bot_bo70021908tate_o: hoare_1167836817_state > $o ).

thf(hoare_1201148605gleton_type,type,
    hoare_1201148605gleton: $o ).

thf(hoare_Mirabelle_MGT_type,type,
    hoare_Mirabelle_MGT: com > hoare_1167836817_state ).

thf(collec1027672124_state_type,type,
    collec1027672124_state: ( hoare_1167836817_state > $o ) > hoare_1167836817_state > $o ).

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

thf(hoare_123228589_state_type,type,
    hoare_123228589_state: ( hoare_1167836817_state > $o ) > ( hoare_1167836817_state > $o ) > $o ).

thf(conj_0,axiom,
    hoare_1201148605gleton ).

thf(zip_derived_cl715,plain,
    hoare_1201148605gleton,
    inference(cnf,[status(esa)],[conj_0]) ).

thf(fact_4_cut,axiom,
    ! [G_31: hoare_1167836817_state > $o,G_30: hoare_1167836817_state > $o,Ts_3: hoare_1167836817_state > $o] :
      ( ( hoare_123228589_state @ G_30 @ Ts_3 )
     => ( ( hoare_123228589_state @ G_31 @ G_30 )
       => ( hoare_123228589_state @ G_31 @ Ts_3 ) ) ) ).

thf(zip_derived_cl4,plain,
    ( !!
    @ ^ [Y0: hoare_1167836817_state > $o] :
        ( !!
        @ ^ [Y1: hoare_1167836817_state > $o] :
            ( !!
            @ ^ [Y2: hoare_1167836817_state > $o] :
                ( ( hoare_123228589_state @ Y1 @ Y2 )
               => ( ( hoare_123228589_state @ Y0 @ Y1 )
                 => ( hoare_123228589_state @ Y0 @ Y2 ) ) ) ) ) ),
    inference(cnf,[status(esa)],[fact_4_cut]) ).

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

thf(zip_derived_cl720,plain,
    ( ( body @ pn )
    = ( some_com @ y ) ),
    inference(cnf,[status(esa)],[conj_5]) ).

thf(fact_53_MGF,axiom,
    ! [C_21: com] :
      ( hoare_1201148605gleton
     => ( wT_bodies
       => ( ( wt @ C_21 )
         => ( hoare_123228589_state @ bot_bo70021908tate_o @ ( insert2134838167_state @ ( hoare_Mirabelle_MGT @ C_21 ) @ bot_bo70021908tate_o ) ) ) ) ) ).

thf(zip_derived_cl53,plain,
    ( !!
    @ ^ [Y0: com] :
        ( hoare_1201148605gleton
       => ( wT_bodies
         => ( ( wt @ Y0 )
           => ( hoare_123228589_state @ bot_bo70021908tate_o @ ( insert2134838167_state @ ( hoare_Mirabelle_MGT @ Y0 ) @ bot_bo70021908tate_o ) ) ) ) ) ),
    inference(cnf,[status(esa)],[fact_53_MGF]) ).

thf(conj_1,axiom,
    wT_bodies ).

thf(zip_derived_cl716,plain,
    wT_bodies,
    inference(cnf,[status(esa)],[conj_1]) ).

thf(fact_176_mem__def,axiom,
    ! [X_88: hoare_1167836817_state,A_142: hoare_1167836817_state > $o] :
      ( ( member2058392318_state @ X_88 @ A_142 )
    <=> ( A_142 @ X_88 ) ) ).

thf(zip_derived_cl176,plain,
    ( !!
    @ ^ [Y0: hoare_1167836817_state] :
        ( !!
        @ ^ [Y1: hoare_1167836817_state > $o] :
            ( ( member2058392318_state @ Y0 @ Y1 )
          <=> ( Y1 @ Y0 ) ) ) ),
    inference(cnf,[status(esa)],[fact_176_mem__def]) ).

thf(fact_148_singleton__iff,axiom,
    ! [B_105: hoare_1167836817_state,A_155: hoare_1167836817_state] :
      ( ( member2058392318_state @ B_105 @ ( insert2134838167_state @ A_155 @ bot_bo70021908tate_o ) )
    <=> ( B_105 = A_155 ) ) ).

thf(zip_derived_cl148,plain,
    ( !!
    @ ^ [Y0: hoare_1167836817_state] :
        ( !!
        @ ^ [Y1: hoare_1167836817_state] :
            ( ( member2058392318_state @ Y0 @ ( insert2134838167_state @ Y1 @ bot_bo70021908tate_o ) )
          <=> ( Y0 = Y1 ) ) ) ),
    inference(cnf,[status(esa)],[fact_148_singleton__iff]) ).

thf(fact_215_WT__bodiesD,axiom,
    ! [Pn_1: pname,B_42: com] :
      ( wT_bodies
     => ( ( ( body @ Pn_1 )
          = ( some_com @ B_42 ) )
       => ( wt @ B_42 ) ) ) ).

thf(zip_derived_cl215,plain,
    ( !!
    @ ^ [Y0: pname] :
        ( !!
        @ ^ [Y1: com] :
            ( wT_bodies
           => ( ( ( body @ Y0 )
                = ( some_com @ Y1 ) )
             => ( wt @ Y1 ) ) ) ) ),
    inference(cnf,[status(esa)],[fact_215_WT__bodiesD]) ).

thf(fact_177_Collect__def,axiom,
    ! [P_37: hoare_1167836817_state > $o] :
      ( ( collec1027672124_state @ P_37 )
      = P_37 ) ).

thf(zip_derived_cl177,plain,
    ( !!
    @ ^ [Y0: hoare_1167836817_state > $o] :
        ( ( collec1027672124_state @ Y0 )
        = Y0 ) ),
    inference(cnf,[status(esa)],[fact_177_Collect__def]) ).

thf(zip_derived_cl961,plain,
    ! [X2: hoare_1167836817_state > $o] :
      ( ( collec1027672124_state @ X2 )
      = X2 ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl177]) ).

thf(zip_derived_cl962,plain,
    ! [X2: hoare_1167836817_state > $o] :
      ( ( collec1027672124_state @ X2 )
      = X2 ),
    inference('simplify nested equalities',[status(thm)],[zip_derived_cl961]) ).

thf(fact_85_empty__def,axiom,
    ( bot_bo70021908tate_o
    = ( collec1027672124_state
      @ ^ [X_5: hoare_1167836817_state] : $false ) ) ).

thf(zip_derived_cl85,plain,
    ( bot_bo70021908tate_o
    = ( collec1027672124_state
      @ ^ [Y0: hoare_1167836817_state] : $false ) ),
    inference(cnf,[status(esa)],[fact_85_empty__def]) ).

thf(zip_derived_cl963,plain,
    ( bot_bo70021908tate_o
    = ( ^ [Y0: hoare_1167836817_state] : $false ) ),
    inference('sup+',[status(thm)],[zip_derived_cl962,zip_derived_cl85]) ).

thf(zip_derived_cl983,plain,
    ! [X1: hoare_1167836817_state] :
      ( ( bot_bo70021908tate_o @ X1 )
      = ( ^ [Y0: hoare_1167836817_state] : $false
        @ X1 ) ),
    inference(ho_complete_eq,[status(thm)],[zip_derived_cl963]) ).

thf(zip_derived_cl984,plain,
    ! [X1: hoare_1167836817_state] :
      ~ ( bot_bo70021908tate_o @ X1 ),
    inference(ho_norm,[status(thm)],[zip_derived_cl983]) ).

thf(fact_0_empty,axiom,
    ! [G_3: hoare_1167836817_state > $o] : ( hoare_123228589_state @ G_3 @ bot_bo70021908tate_o ) ).

thf(zip_derived_cl0,plain,
    ( !!
    @ ^ [Y0: hoare_1167836817_state > $o] : ( hoare_123228589_state @ Y0 @ bot_bo70021908tate_o ) ),
    inference(cnf,[status(esa)],[fact_0_empty]) ).

thf(conj_7,conjecture,
    ( hoare_123228589_state
    @ ( image_575578384_state
      @ ^ [Pn: pname] : ( hoare_Mirabelle_MGT @ ( body_1 @ Pn ) )
      @ ( dom_pname_com @ body ) )
    @ ( insert2134838167_state @ ( hoare_Mirabelle_MGT @ y ) @ bot_bo70021908tate_o ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ( hoare_123228589_state
      @ ( image_575578384_state
        @ ^ [Pn: pname] : ( hoare_Mirabelle_MGT @ ( body_1 @ Pn ) )
        @ ( dom_pname_com @ body ) )
      @ ( insert2134838167_state @ ( hoare_Mirabelle_MGT @ y ) @ bot_bo70021908tate_o ) ),
    inference('cnf.neg',[status(esa)],[conj_7]) ).

thf(zip_derived_cl722,plain,
    ~ ( hoare_123228589_state
      @ ( image_575578384_state
        @ ^ [Y0: pname] : ( hoare_Mirabelle_MGT @ ( body_1 @ Y0 ) )
        @ ( dom_pname_com @ body ) )
      @ ( insert2134838167_state @ ( hoare_Mirabelle_MGT @ y ) @ bot_bo70021908tate_o ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl3915,plain,
    $false,
    inference(eprover,[status(thm)],[zip_derived_cl715,zip_derived_cl4,zip_derived_cl720,zip_derived_cl53,zip_derived_cl716,zip_derived_cl176,zip_derived_cl148,zip_derived_cl215,zip_derived_cl984,zip_derived_cl0,zip_derived_cl722]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : SWW474^2 : 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.jU6Zc2jxAS true
% 0.13/0.34  % Computer : n025.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
% 0.13/0.35  % DateTime : Sun Aug 27 21:05:53 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
% 0.21/0.65  % Total configuration time : 828
% 0.21/0.65  % Estimated wc time : 1656
% 0.21/0.65  % Estimated cpu time (8 cpus) : 207.0
% 0.21/0.72  % /export/starexec/sandbox/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.21/0.72  % /export/starexec/sandbox/solver/bin/lams/40_c_ic.sh running for 80s
% 0.21/0.72  % /export/starexec/sandbox/solver/bin/lams/15_e_short1.sh running for 30s
% 0.21/0.74  % /export/starexec/sandbox/solver/bin/lams/40_c.s.sh running for 80s
% 0.21/0.74  % /export/starexec/sandbox/solver/bin/lams/40_noforms.sh running for 90s
% 1.23/0.80  % /export/starexec/sandbox/solver/bin/lams/40_b.comb.sh running for 70s
% 1.23/0.81  % /export/starexec/sandbox/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 1.23/0.81  % /export/starexec/sandbox/solver/bin/lams/30_sp5.sh running for 60s
% 1.39/0.87  % /export/starexec/sandbox/solver/bin/lams/30_b.l.sh running for 90s
% 30.10/4.52  % Solved by lams/15_e_short1.sh.
% 30.10/4.52  % done 197 iterations in 3.761s
% 30.10/4.52  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 30.10/4.52  % SZS output start Refutation
% See solution above
% 30.10/4.52  
% 30.10/4.52  
% 30.16/4.52  % Terminating...
% 30.83/4.68  % Runner terminated.
% 30.83/4.70  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------