↑ Up

Zipperpin---2.1.9999.THM-Ref.s

View TPTP
Problem
Process solution in
SystemOnTSTP
Download .tgz
%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : ITP086^1 : TPTP v9.2.0. Released v7.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.XIPnU2Us1h true

% Computer : n007.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 Oct  2 04:38:47 PM UTC 2025

% Result   : Theorem 115.31s 15.20s
% Output   : Refutation 115.31s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   17
%            Number of leaves      :    7
% Syntax   : Number of formulae    :   34 (  14 unt;   0 typ;   0 def)
%            Number of atoms       :  140 (  17 equ;  30 cnn)
%            Maximal formula atoms :   14 (   4 avg)
%            Number of connectives :  540 (  35   ~;  20   |;   0   &; 428   @)
%                                         (   0 <=>;  41  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   17 (   7 avg)
%            Number of types       :    6 (   5 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   24 (  18 usr;  11 con; 0-6 aty)
%                                         (  16  !!;   0  ??;   0 @@+;   0 @@-)
%            Number of variables   :   44 (   5   ^;  39   !;   0   ?;  44   :)

% Comments : 
%------------------------------------------------------------------------------
thf(secrecy_chanID_type,type,
    secrecy_chanID: $tType ).

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

thf(secrecy_specID_type,type,
    secrecy_specID: $tType ).

thf(secrecy_Expression_type,type,
    secrecy_Expression: $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(s_comb_type,type,
    '#S': 
      !>[A: $tType,B: $tType,C: $tType] : ( ( A > B > C ) > ( A > B ) > A > C ) ).

thf(c_comb_type,type,
    '#C': 
      !>[A: $tType,B: $tType,C: $tType] : ( ( A > B > C ) > B > A > C ) ).

thf(b_comb_type,type,
    '#B': 
      !>[A: $tType,B: $tType,C: $tType] : ( ( A > B ) > ( C > A ) > C > B ) ).

thf(k_comb_type,type,
    '#K': 
      !>[A: $tType,B: $tType] : ( B > A > B ) ).

thf(i_comb_type,type,
    '#I': 
      !>[A: $tType] : ( A > A ) ).

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_cl4,plain,
    !! @ ( '#S' @ ( '#B' @ (=>) @ ( '#C' @ member1967978193chanID @ ( ins @ pq ) ) ) @ ( '#B' @ (~) @ ( '#C' @ exprChannel @ m ) ) ),
    inference(lams2combs,[status(thm)],[zip_derived_cl3]) ).

thf(zip_derived_cl470,plain,
    ! [X2: secrecy_chanID] :
      ( ( member1967978193chanID @ X2 @ ( ins @ pq ) )
     => ( (~) @ ( exprChannel @ X2 @ m ) ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl4]) ).

thf(zip_derived_cl471,plain,
    ! [X2: secrecy_chanID] :
      ( ~ ( member1967978193chanID @ X2 @ ( ins @ pq ) )
      | ~ ( exprChannel @ X2 @ m ) ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl470]) ).

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_cl464,plain,
    ~ ( member1967978193chanID @ ch @ ( loc @ pq ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

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

thf(zip_derived_cl5,plain,
    ( ( subcomponents @ pq )
    = ( insert1671894227specID @ p @ ( insert1671894227specID @ q @ bot_bo1785112429specID ) ) ),
    inference(cnf,[status(esa)],[fact_4_assms_I1_J]) ).

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_cl6,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_cl7,plain,
    !! @ ( '#B' @ !! @ ( '#B' @ ( '#B' @ !! ) @ ( '#B' @ ( '#B' @ ( '#B' @ !! ) ) @ ( '#S' @ ( '#B' @ '#S' @ ( '#B' @ ( '#B' @ '#C' ) @ ( '#B' @ ( '#B' @ ( '#B' @ '#B' ) ) @ ( '#B' @ ( '#B' @ ( '#B' @ (=>) ) ) @ ( '#C' @ ( '#B' @ '#B' @ ( '#B' @ '#B' @ ( '#B' @ (=) @ subcomponents ) ) ) @ ( '#C' @ ( '#B' @ '#B' @ insert1671894227specID ) @ ( '#C' @ insert1671894227specID @ bot_bo1785112429specID ) ) ) ) ) ) ) @ ( '#S' @ ( '#B' @ '#B' @ ( '#B' @ '#B' @ ( '#B' @ (=>) @ correctCompositionIn ) ) ) @ ( '#S' @ ( '#B' @ '#B' @ ( '#B' @ '#S' @ ( '#B' @ ( '#B' @ (=>) ) @ ( '#B' @ ( '#B' @ (~) ) @ ( '#B' @ ( '#C' @ member1967978193chanID ) @ loc ) ) ) ) ) @ ( '#B' @ ( '#C' @ ( '#B' @ '#S' @ ( '#B' @ ( '#B' @ (=>) ) @ ( '#B' @ ( '#C' @ member1967978193chanID ) @ ins ) ) ) ) @ ( '#B' @ ( '#C' @ member1967978193chanID ) @ ins ) ) ) ) ) ) ) ),
    inference(lams2combs,[status(thm)],[zip_derived_cl6]) ).

thf(zip_derived_cl482,plain,
    ! [X2: secrecy_specID] :
      ( !!
      @ ( '#B' @ !!
        @ ( '#B' @ ( '#B' @ !! )
          @ ( '#S'
            @ ( '#B' @ '#C'
              @ ( '#B' @ ( '#B' @ '#B' )
                @ ( '#B' @ ( '#B' @ (=>) )
                  @ ( '#B'
                    @ ( '#B'
                      @ ( set_Secrecy_specID
                        = ( subcomponents @ X2 ) ) )
                    @ ( '#C' @ ( '#B' @ '#B' @ insert1671894227specID ) @ ( '#C' @ insert1671894227specID @ bot_bo1785112429specID ) ) ) ) ) )
            @ ( '#B' @ ( '#B' @ ( (=>) @ ( correctCompositionIn @ X2 ) ) ) @ ( '#B' @ ( '#S' @ ( '#B' @ (=>) @ ( '#B' @ (~) @ ( '#C' @ member1967978193chanID @ ( loc @ X2 ) ) ) ) ) @ ( '#C' @ ( '#B' @ '#S' @ ( '#B' @ ( '#B' @ (=>) ) @ ( '#B' @ ( '#C' @ member1967978193chanID ) @ ins ) ) ) @ ( '#C' @ member1967978193chanID @ ( ins @ X2 ) ) ) ) ) ) ) ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl7]) ).

thf(zip_derived_cl483,plain,
    ! [X2: secrecy_specID,X4: secrecy_specID] :
      ( !!
      @ ( '#B' @ !!
        @ ( '#C'
          @ ( '#B' @ '#B'
            @ ( '#B' @ (=>)
              @ ( '#B'
                @ ( set_Secrecy_specID
                  = ( subcomponents @ X2 ) )
                @ ( '#B' @ ( insert1671894227specID @ X4 ) @ ( '#C' @ insert1671894227specID @ bot_bo1785112429specID ) ) ) ) )
          @ ( '#B' @ ( (=>) @ ( correctCompositionIn @ X2 ) ) @ ( '#S' @ ( '#B' @ (=>) @ ( '#B' @ (~) @ ( '#C' @ member1967978193chanID @ ( loc @ X2 ) ) ) ) @ ( '#S' @ ( '#B' @ (=>) @ ( '#C' @ member1967978193chanID @ ( ins @ X4 ) ) ) @ ( '#C' @ member1967978193chanID @ ( ins @ X2 ) ) ) ) ) ) ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl482]) ).

thf(zip_derived_cl484,plain,
    ! [X2: secrecy_specID,X4: secrecy_specID,X6: secrecy_specID] :
      ( !!
      @ ( '#B'
        @ ( (=>)
          @ ( ( subcomponents @ X2 )
            = ( insert1671894227specID @ X4 @ ( insert1671894227specID @ X6 @ bot_bo1785112429specID ) ) ) )
        @ ( '#B' @ ( (=>) @ ( correctCompositionIn @ X2 ) ) @ ( '#S' @ ( '#B' @ (=>) @ ( '#B' @ (~) @ ( '#C' @ member1967978193chanID @ ( loc @ X2 ) ) ) ) @ ( '#S' @ ( '#B' @ (=>) @ ( '#C' @ member1967978193chanID @ ( ins @ X4 ) ) ) @ ( '#C' @ member1967978193chanID @ ( ins @ X2 ) ) ) ) ) ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl483]) ).

thf(zip_derived_cl485,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_cl484]) ).

thf(zip_derived_cl486,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_cl485]) ).

thf(zip_derived_cl487,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_cl486]) ).

thf(zip_derived_cl488,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_cl487]) ).

thf(zip_derived_cl489,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_cl488]) ).

thf(zip_derived_cl490,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_cl489]) ).

thf(zip_derived_cl1957,plain,
    ! [X0: secrecy_specID,X1: secrecy_chanID] :
      ( ( ( subcomponents @ X0 )
       != ( subcomponents @ pq ) )
      | ( member1967978193chanID @ X1 @ ( loc @ X0 ) )
      | ~ ( correctCompositionIn @ X0 )
      | ( member1967978193chanID @ X1 @ ( ins @ X0 ) )
      | ~ ( member1967978193chanID @ X1 @ ( ins @ p ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl5,zip_derived_cl490]) ).

thf(zip_derived_cl24972,plain,
    ( ~ ( member1967978193chanID @ ch @ ( ins @ p ) )
    | ( member1967978193chanID @ ch @ ( ins @ pq ) )
    | ~ ( correctCompositionIn @ pq )
    | ( ( subcomponents @ pq )
     != ( subcomponents @ pq ) ) ),
    inference('sup+',[status(thm)],[zip_derived_cl464,zip_derived_cl1957]) ).

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_0_assms_I2_J,axiom,
    correctCompositionIn @ pq ).

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

thf(zip_derived_cl24992,plain,
    ( ( member1967978193chanID @ ch @ ( ins @ pq ) )
    | ( ( subcomponents @ pq )
     != ( subcomponents @ pq ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl24972,zip_derived_cl2,zip_derived_cl0]) ).

thf(zip_derived_cl24993,plain,
    member1967978193chanID @ ch @ ( ins @ pq ),
    inference(simplify,[status(thm)],[zip_derived_cl24992]) ).

thf(zip_derived_cl25057,plain,
    ~ ( exprChannel @ ch @ m ),
    inference('sup+',[status(thm)],[zip_derived_cl471,zip_derived_cl24993]) ).

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(zip_derived_cl25066,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl25057,zip_derived_cl1]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem  : ITP086^1 : TPTP v9.2.0. Released v7.5.0.
% 0.06/0.13  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.XIPnU2Us1h true
% 0.13/0.34  % Computer : n007.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 : Wed Oct  1 15:31:08 EDT 2025
% 0.13/0.34  % CPUTime  : 
% 0.13/0.34  % Running portfolio for 300 s
% 0.13/0.34  % File         : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.34  % Number of cores: 8
% 0.13/0.35  % Python version: Python 3.6.8
% 0.13/0.35  % Running in HO mode
% 0.57/0.67  % Total configuration time : 828
% 0.57/0.67  % Estimated wc time : 1656
% 0.57/0.67  % Estimated cpu time (8 cpus) : 207.0
% 0.58/0.76  % /export/starexec/sandbox/solver/bin/lams/40_c.s.sh running for 80s
% 0.58/0.78  % /export/starexec/sandbox/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.58/0.78  % /export/starexec/sandbox/solver/bin/lams/40_c_ic.sh running for 80s
% 0.58/0.79  % /export/starexec/sandbox/solver/bin/lams/15_e_short1.sh running for 30s
% 0.58/0.81  % /export/starexec/sandbox/solver/bin/lams/40_noforms.sh running for 90s
% 0.58/0.84  % /export/starexec/sandbox/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 0.58/0.84  % /export/starexec/sandbox/solver/bin/lams/30_sp5.sh running for 60s
% 0.60/0.85  % /export/starexec/sandbox/solver/bin/lams/40_b.comb.sh running for 70s
% 0.60/0.95  % /export/starexec/sandbox/solver/bin/lams/30_b.l.sh running for 90s
% 0.60/0.95  % /export/starexec/sandbox/solver/bin/lams/35_full_unif.sh running for 56s
% 115.31/15.20  % Solved by lams/40_b.comb.sh.
% 115.31/15.20  % done 1991 iterations in 14.327s
% 115.31/15.20  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 115.31/15.20  % SZS output start Refutation
% See solution above
% 115.31/15.20  
% 115.31/15.20  
% 115.31/15.20  % Terminating...
% 115.83/15.30  % Runner terminated.
% 115.83/15.31  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------