TSTP Solution File: ITP086^1 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : ITP086^1 : TPTP v8.1.2. Released v7.5.0.
% Transfm  : NO INFORMATION
% Format   : NO INFORMATION
% Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.aE4RSUfDY4 true

% Computer : n001.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 05:22:05 EDT 2023

% Result   : Theorem 115.67s 15.43s
% Output   : Refutation 115.67s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   11
%            Number of leaves      :   25
% Syntax   : Number of formulae    :   45 (  12 unt;  18 typ;   0 def)
%            Number of atoms       :   96 (  13 equ;  10 cnn)
%            Maximal formula atoms :   10 (   3 avg)
%            Number of connectives :  321 (  25   ~;  12   |;   0   &; 237   @)
%                                         (   0 <=>;  36  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   15 (   7 avg)
%            Number of types       :    6 (   5 usr)
%            Number of type conns  :   10 (  10   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   17 (  13 usr;   9 con; 0-2 aty)
%                                         (  11  !!;   0  ??;   0 @@+;   0 @@-)
%            Number of variables   :   48 (  11   ^;  37   !;   0   ?;  48   :)

% Comments : 
%------------------------------------------------------------------------------
thf(secrecy_specID_type,type,
    secrecy_specID: $tType ).

thf(secrecy_chanID_type,type,
    secrecy_chanID: $tType ).

thf(secrecy_Expression_type,type,
    secrecy_Expression: $tType ).

thf(set_Secrecy_chanID_type,type,
    set_Secrecy_chanID: $tType ).

thf(set_Secrecy_specID_type,type,
    set_Secrecy_specID: $tType ).

thf(pq_type,type,
    pq: secrecy_specID ).

thf(q_type,type,
    q: secrecy_specID ).

thf(bot_bo1785112429specID_type,type,
    bot_bo1785112429specID: set_Secrecy_specID ).

thf(ch_type,type,
    ch: secrecy_chanID ).

thf(loc_type,type,
    loc: secrecy_specID > set_Secrecy_chanID ).

thf(exprChannel_type,type,
    exprChannel: secrecy_chanID > secrecy_Expression > $o ).

thf(m_type,type,
    m: secrecy_Expression ).

thf(member1967978193chanID_type,type,
    member1967978193chanID: secrecy_chanID > set_Secrecy_chanID > $o ).

thf(p_type,type,
    p: secrecy_specID ).

thf(subcomponents_type,type,
    subcomponents: secrecy_specID > set_Secrecy_specID ).

thf(ins_type,type,
    ins: secrecy_specID > set_Secrecy_chanID ).

thf(correctCompositionIn_type,type,
    correctCompositionIn: secrecy_specID > $o ).

thf(insert1671894227specID_type,type,
    insert1671894227specID: secrecy_specID > set_Secrecy_specID > set_Secrecy_specID ).

thf(fact_0_assms_I2_J,axiom,
    correctCompositionIn @ pq ).

thf(zip_derived_cl0,plain,
    correctCompositionIn @ pq,
    inference(cnf,[status(esa)],[fact_0_assms_I2_J]) ).

thf(fact_1_assms_I4_J,axiom,
    exprChannel @ ch @ m ).

thf(zip_derived_cl1,plain,
    exprChannel @ ch @ m,
    inference(cnf,[status(esa)],[fact_1_assms_I4_J]) ).

thf(conj_0,conjecture,
    member1967978193chanID @ ch @ ( loc @ pq ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ( member1967978193chanID @ ch @ ( loc @ pq ) ),
    inference('cnf.neg',[status(esa)],[conj_0]) ).

thf(zip_derived_cl278,plain,
    ~ ( member1967978193chanID @ ch @ ( loc @ pq ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(fact_2_assms_I3_J,axiom,
    member1967978193chanID @ ch @ ( ins @ p ) ).

thf(zip_derived_cl2,plain,
    member1967978193chanID @ ch @ ( ins @ p ),
    inference(cnf,[status(esa)],[fact_2_assms_I3_J]) ).

thf(fact_4_assms_I1_J,axiom,
    ( ( subcomponents @ pq )
    = ( insert1671894227specID @ p @ ( insert1671894227specID @ q @ bot_bo1785112429specID ) ) ) ).

thf(zip_derived_cl4,plain,
    ( ( subcomponents @ pq )
    = ( insert1671894227specID @ p @ ( insert1671894227specID @ q @ bot_bo1785112429specID ) ) ),
    inference(cnf,[status(esa)],[fact_4_assms_I1_J]) ).

thf(fact_3_assms_I5_J,axiom,
    ! [X: secrecy_chanID] :
      ( ( member1967978193chanID @ X @ ( ins @ pq ) )
     => ~ ( exprChannel @ X @ m ) ) ).

thf(zip_derived_cl3,plain,
    ( !!
    @ ^ [Y0: secrecy_chanID] :
        ( ( member1967978193chanID @ Y0 @ ( ins @ pq ) )
       => ( (~) @ ( exprChannel @ Y0 @ m ) ) ) ),
    inference(cnf,[status(esa)],[fact_3_assms_I5_J]) ).

thf(zip_derived_cl285,plain,
    ! [X2: secrecy_chanID] :
      ( ( member1967978193chanID @ X2 @ ( ins @ pq ) )
     => ( (~) @ ( exprChannel @ X2 @ m ) ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl3]) ).

thf(zip_derived_cl286,plain,
    ! [X2: secrecy_chanID] :
      ( ~ ( member1967978193chanID @ X2 @ ( ins @ pq ) )
      | ~ ( exprChannel @ X2 @ m ) ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl285]) ).

thf(fact_6_correctCompositionIn__L1,axiom,
    ! [PQ: secrecy_specID,P: secrecy_specID,Q: secrecy_specID,Ch: secrecy_chanID] :
      ( ( ( subcomponents @ PQ )
        = ( insert1671894227specID @ P @ ( insert1671894227specID @ Q @ bot_bo1785112429specID ) ) )
     => ( ( correctCompositionIn @ PQ )
       => ( ~ ( member1967978193chanID @ Ch @ ( loc @ PQ ) )
         => ( ( member1967978193chanID @ Ch @ ( ins @ P ) )
           => ( member1967978193chanID @ Ch @ ( ins @ PQ ) ) ) ) ) ) ).

thf(zip_derived_cl5,plain,
    ( !!
    @ ^ [Y0: secrecy_specID] :
        ( !!
        @ ^ [Y1: secrecy_specID] :
            ( !!
            @ ^ [Y2: secrecy_specID] :
                ( !!
                @ ^ [Y3: secrecy_chanID] :
                    ( ( ( subcomponents @ Y0 )
                      = ( insert1671894227specID @ Y1 @ ( insert1671894227specID @ Y2 @ bot_bo1785112429specID ) ) )
                   => ( ( correctCompositionIn @ Y0 )
                     => ( ( (~) @ ( member1967978193chanID @ Y3 @ ( loc @ Y0 ) ) )
                       => ( ( member1967978193chanID @ Y3 @ ( ins @ Y1 ) )
                         => ( member1967978193chanID @ Y3 @ ( ins @ Y0 ) ) ) ) ) ) ) ) ) ),
    inference(cnf,[status(esa)],[fact_6_correctCompositionIn__L1]) ).

thf(zip_derived_cl296,plain,
    ! [X2: secrecy_specID] :
      ( !!
      @ ^ [Y0: secrecy_specID] :
          ( !!
          @ ^ [Y1: secrecy_specID] :
              ( !!
              @ ^ [Y2: secrecy_chanID] :
                  ( ( ( subcomponents @ X2 )
                    = ( insert1671894227specID @ Y0 @ ( insert1671894227specID @ Y1 @ bot_bo1785112429specID ) ) )
                 => ( ( correctCompositionIn @ X2 )
                   => ( ( (~) @ ( member1967978193chanID @ Y2 @ ( loc @ X2 ) ) )
                     => ( ( member1967978193chanID @ Y2 @ ( ins @ Y0 ) )
                       => ( member1967978193chanID @ Y2 @ ( ins @ X2 ) ) ) ) ) ) ) ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl5]) ).

thf(zip_derived_cl297,plain,
    ! [X2: secrecy_specID,X4: secrecy_specID] :
      ( !!
      @ ^ [Y0: secrecy_specID] :
          ( !!
          @ ^ [Y1: secrecy_chanID] :
              ( ( ( subcomponents @ X2 )
                = ( insert1671894227specID @ X4 @ ( insert1671894227specID @ Y0 @ bot_bo1785112429specID ) ) )
             => ( ( correctCompositionIn @ X2 )
               => ( ( (~) @ ( member1967978193chanID @ Y1 @ ( loc @ X2 ) ) )
                 => ( ( member1967978193chanID @ Y1 @ ( ins @ X4 ) )
                   => ( member1967978193chanID @ Y1 @ ( ins @ X2 ) ) ) ) ) ) ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl296]) ).

thf(zip_derived_cl298,plain,
    ! [X2: secrecy_specID,X4: secrecy_specID,X6: secrecy_specID] :
      ( !!
      @ ^ [Y0: secrecy_chanID] :
          ( ( ( subcomponents @ X2 )
            = ( insert1671894227specID @ X4 @ ( insert1671894227specID @ X6 @ bot_bo1785112429specID ) ) )
         => ( ( correctCompositionIn @ X2 )
           => ( ( (~) @ ( member1967978193chanID @ Y0 @ ( loc @ X2 ) ) )
             => ( ( member1967978193chanID @ Y0 @ ( ins @ X4 ) )
               => ( member1967978193chanID @ Y0 @ ( ins @ X2 ) ) ) ) ) ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl297]) ).

thf(zip_derived_cl299,plain,
    ! [X2: secrecy_specID,X4: secrecy_specID,X6: secrecy_specID,X8: secrecy_chanID] :
      ( ( ( subcomponents @ X2 )
        = ( insert1671894227specID @ X4 @ ( insert1671894227specID @ X6 @ bot_bo1785112429specID ) ) )
     => ( ( correctCompositionIn @ X2 )
       => ( ( (~) @ ( member1967978193chanID @ X8 @ ( loc @ X2 ) ) )
         => ( ( member1967978193chanID @ X8 @ ( ins @ X4 ) )
           => ( member1967978193chanID @ X8 @ ( ins @ X2 ) ) ) ) ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl298]) ).

thf(zip_derived_cl300,plain,
    ! [X2: secrecy_specID,X4: secrecy_specID,X6: secrecy_specID,X8: secrecy_chanID] :
      ( ( ( subcomponents @ X2 )
       != ( insert1671894227specID @ X4 @ ( insert1671894227specID @ X6 @ bot_bo1785112429specID ) ) )
      | ( ( correctCompositionIn @ X2 )
       => ( ( (~) @ ( member1967978193chanID @ X8 @ ( loc @ X2 ) ) )
         => ( ( member1967978193chanID @ X8 @ ( ins @ X4 ) )
           => ( member1967978193chanID @ X8 @ ( ins @ X2 ) ) ) ) ) ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl299]) ).

thf(zip_derived_cl301,plain,
    ! [X2: secrecy_specID,X4: secrecy_specID,X6: secrecy_specID,X8: secrecy_chanID] :
      ( ( ( subcomponents @ X2 )
       != ( insert1671894227specID @ X4 @ ( insert1671894227specID @ X6 @ bot_bo1785112429specID ) ) )
      | ( ( correctCompositionIn @ X2 )
       => ( ( (~) @ ( member1967978193chanID @ X8 @ ( loc @ X2 ) ) )
         => ( ( member1967978193chanID @ X8 @ ( ins @ X4 ) )
           => ( member1967978193chanID @ X8 @ ( ins @ X2 ) ) ) ) ) ),
    inference('simplify nested equalities',[status(thm)],[zip_derived_cl300]) ).

thf(zip_derived_cl302,plain,
    ! [X2: secrecy_specID,X4: secrecy_specID,X6: secrecy_specID,X8: secrecy_chanID] :
      ( ~ ( correctCompositionIn @ X2 )
      | ( ( (~) @ ( member1967978193chanID @ X8 @ ( loc @ X2 ) ) )
       => ( ( member1967978193chanID @ X8 @ ( ins @ X4 ) )
         => ( member1967978193chanID @ X8 @ ( ins @ X2 ) ) ) )
      | ( ( subcomponents @ X2 )
       != ( insert1671894227specID @ X4 @ ( insert1671894227specID @ X6 @ bot_bo1785112429specID ) ) ) ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl301]) ).

thf(zip_derived_cl303,plain,
    ! [X2: secrecy_specID,X4: secrecy_specID,X6: secrecy_specID,X8: secrecy_chanID] :
      ( ( member1967978193chanID @ X8 @ ( loc @ X2 ) )
      | ( ( member1967978193chanID @ X8 @ ( ins @ X4 ) )
       => ( member1967978193chanID @ X8 @ ( ins @ X2 ) ) )
      | ( ( subcomponents @ X2 )
       != ( insert1671894227specID @ X4 @ ( insert1671894227specID @ X6 @ bot_bo1785112429specID ) ) )
      | ~ ( correctCompositionIn @ X2 ) ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl302]) ).

thf(zip_derived_cl304,plain,
    ! [X2: secrecy_specID,X4: secrecy_specID,X6: secrecy_specID,X8: secrecy_chanID] :
      ( ~ ( member1967978193chanID @ X8 @ ( ins @ X4 ) )
      | ( member1967978193chanID @ X8 @ ( ins @ X2 ) )
      | ~ ( correctCompositionIn @ X2 )
      | ( ( subcomponents @ X2 )
       != ( insert1671894227specID @ X4 @ ( insert1671894227specID @ X6 @ bot_bo1785112429specID ) ) )
      | ( member1967978193chanID @ X8 @ ( loc @ X2 ) ) ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl303]) ).

thf(zip_derived_cl23913,plain,
    $false,
    inference(eprover,[status(thm)],[zip_derived_cl0,zip_derived_cl1,zip_derived_cl278,zip_derived_cl2,zip_derived_cl4,zip_derived_cl286,zip_derived_cl304]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem  : ITP086^1 : TPTP v8.1.2. Released v7.5.0.
% 0.00/0.14  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.aE4RSUfDY4 true
% 0.14/0.35  % Computer : n001.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit : 300
% 0.14/0.35  % WCLimit  : 300
% 0.14/0.35  % DateTime : Sun Aug 27 17:15:48 EDT 2023
% 0.14/0.35  % CPUTime  : 
% 0.14/0.35  % Running portfolio for 300 s
% 0.14/0.35  % File         : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/0.35  % Number of cores: 8
% 0.14/0.36  % Python version: Python 3.6.8
% 0.14/0.36  % 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
% 0.22/0.76  % /export/starexec/sandbox/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.22/0.76  % /export/starexec/sandbox/solver/bin/lams/40_c.s.sh running for 80s
% 0.22/0.76  % /export/starexec/sandbox/solver/bin/lams/15_e_short1.sh running for 30s
% 0.22/0.76  % /export/starexec/sandbox/solver/bin/lams/40_c_ic.sh running for 80s
% 0.22/0.77  % /export/starexec/sandbox/solver/bin/lams/40_noforms.sh running for 90s
% 0.22/0.78  % /export/starexec/sandbox/solver/bin/lams/40_b.comb.sh running for 70s
% 0.22/0.79  % /export/starexec/sandbox/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 0.22/0.79  % /export/starexec/sandbox/solver/bin/lams/30_sp5.sh running for 60s
% 0.22/0.82  % /export/starexec/sandbox/solver/bin/lams/30_b.l.sh running for 90s
% 1.39/0.87  % /export/starexec/sandbox/solver/bin/lams/35_full_unif.sh running for 56s
% 115.67/15.43  % Solved by lams/30_b.l.sh.
% 115.67/15.43  % done 1369 iterations in 14.552s
% 115.67/15.43  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 115.67/15.43  % SZS output start Refutation
% See solution above
% 115.67/15.43  
% 115.67/15.43  
% 115.67/15.43  % Terminating...
% 115.67/15.52  % Runner terminated.
% 115.67/15.52  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------