↑ Up

Zipperpin---2.1.9999.THM-Ref.s

View TPTP
Problem
Process solution in
SystemOnTSTP
Download .tgz
%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : ITP019^4 : TPTP v9.2.0. Bugfixed v7.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.c0eKyv9pdZ true

% Computer : n020.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 04:38:28 PM UTC 2025

% Result   : Theorem 50.98s 9.40s
% Output   : Refutation 50.98s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    3
% Syntax   : Number of formulae    :   19 (  14 unt;   0 typ;   0 def)
%            Number of atoms       :   25 (  22 equ;   0 cnn)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   62 (  16   ~;   0   |;   0   &;  40   @)
%                                         (   0 <=>;   4  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   2 avg)
%            Number of types       :    2 (   2 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    7 (   4 usr;   4 con; 0-2 aty)
%                                         (   2  !!;   0  ??;   0 @@+;   0 @@-)
%            Number of variables   :    7 (   2   ^;   5   !;   0   ?;   7   :)

% Comments : 
%------------------------------------------------------------------------------
thf(mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29_type,type,
    mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29: $tType ).

thf(mono_2Etyop_2Enum_2Enum_type,type,
    mono_2Etyop_2Enum_2Enum: $tType ).

thf('#sk1_type',type,
    '#sk1': mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29 ).

thf(mono_2Ec_2Enum_2E0_type,type,
    mono_2Ec_2Enum_2E0: mono_2Etyop_2Enum_2Enum ).

thf(mono_2Ec_2Ecomplex_2Ecomplex__of__num_type,type,
    mono_2Ec_2Ecomplex_2Ecomplex__of__num: mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29 ).

thf(mono_2Ec_2Ecomplex_2Ecomplex__inv_type,type,
    mono_2Ec_2Ecomplex_2Ecomplex__inv: mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29 > mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29 ).

thf(thm_2Ecomplex_2ECOMPLEX__INV__0,axiom,
    ( ( mono_2Ec_2Ecomplex_2Ecomplex__inv @ ( mono_2Ec_2Ecomplex_2Ecomplex__of__num @ mono_2Ec_2Enum_2E0 ) )
    = ( mono_2Ec_2Ecomplex_2Ecomplex__of__num @ mono_2Ec_2Enum_2E0 ) ) ).

thf(zip_derived_cl80,plain,
    ( ( mono_2Ec_2Ecomplex_2Ecomplex__inv @ ( mono_2Ec_2Ecomplex_2Ecomplex__of__num @ mono_2Ec_2Enum_2E0 ) )
    = ( mono_2Ec_2Ecomplex_2Ecomplex__of__num @ mono_2Ec_2Enum_2E0 ) ),
    inference(cnf,[status(esa)],[thm_2Ecomplex_2ECOMPLEX__INV__0]) ).

thf(thm_2Ecomplex_2ECOMPLEX__INV__NZ,conjecture,
    ! [V0z: mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29] :
      ( ( V0z
       != ( mono_2Ec_2Ecomplex_2Ecomplex__of__num @ mono_2Ec_2Enum_2E0 ) )
     => ( ( mono_2Ec_2Ecomplex_2Ecomplex__inv @ V0z )
       != ( mono_2Ec_2Ecomplex_2Ecomplex__of__num @ mono_2Ec_2Enum_2E0 ) ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ! [V0z: mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29] :
        ( ( V0z
         != ( mono_2Ec_2Ecomplex_2Ecomplex__of__num @ mono_2Ec_2Enum_2E0 ) )
       => ( ( mono_2Ec_2Ecomplex_2Ecomplex__inv @ V0z )
         != ( mono_2Ec_2Ecomplex_2Ecomplex__of__num @ mono_2Ec_2Enum_2E0 ) ) ),
    inference('cnf.neg',[status(esa)],[thm_2Ecomplex_2ECOMPLEX__INV__NZ]) ).

thf(zip_derived_cl85,plain,
    ~ ( !!
      @ ^ [Y0: mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29] :
          ( ( Y0
           != ( mono_2Ec_2Ecomplex_2Ecomplex__of__num @ mono_2Ec_2Enum_2E0 ) )
         => ( ( mono_2Ec_2Ecomplex_2Ecomplex__inv @ Y0 )
           != ( mono_2Ec_2Ecomplex_2Ecomplex__of__num @ mono_2Ec_2Enum_2E0 ) ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl88,plain,
    ~ ( ( '#sk1'
       != ( mono_2Ec_2Ecomplex_2Ecomplex__of__num @ mono_2Ec_2Enum_2E0 ) )
     => ( ( mono_2Ec_2Ecomplex_2Ecomplex__inv @ '#sk1' )
       != ( mono_2Ec_2Ecomplex_2Ecomplex__of__num @ mono_2Ec_2Enum_2E0 ) ) ),
    inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl85]) ).

thf(zip_derived_cl90,plain,
    ~ ( ( ( mono_2Ec_2Ecomplex_2Ecomplex__inv @ '#sk1' )
       != ( mono_2Ec_2Ecomplex_2Ecomplex__of__num @ mono_2Ec_2Enum_2E0 ) ) ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl88]) ).

thf(zip_derived_cl92,plain,
    ( ( mono_2Ec_2Ecomplex_2Ecomplex__inv @ '#sk1' )
    = ( mono_2Ec_2Ecomplex_2Ecomplex__of__num @ mono_2Ec_2Enum_2E0 ) ),
    inference('simplify nested equalities',[status(thm)],[zip_derived_cl90]) ).

thf(thm_2Ecomplex_2ECOMPLEX__INV__INV,axiom,
    ! [V0z: mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29] :
      ( ( mono_2Ec_2Ecomplex_2Ecomplex__inv @ ( mono_2Ec_2Ecomplex_2Ecomplex__inv @ V0z ) )
      = V0z ) ).

thf(zip_derived_cl82,plain,
    ( !!
    @ ^ [Y0: mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29] :
        ( ( mono_2Ec_2Ecomplex_2Ecomplex__inv @ ( mono_2Ec_2Ecomplex_2Ecomplex__inv @ Y0 ) )
        = Y0 ) ),
    inference(cnf,[status(esa)],[thm_2Ecomplex_2ECOMPLEX__INV__INV]) ).

thf(zip_derived_cl86,plain,
    ! [X2: mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29] :
      ( ( mono_2Ec_2Ecomplex_2Ecomplex__inv @ ( mono_2Ec_2Ecomplex_2Ecomplex__inv @ X2 ) )
      = X2 ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl82]) ).

thf(zip_derived_cl87,plain,
    ! [X2: mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29] :
      ( ( mono_2Ec_2Ecomplex_2Ecomplex__inv @ ( mono_2Ec_2Ecomplex_2Ecomplex__inv @ X2 ) )
      = X2 ),
    inference('simplify nested equalities',[status(thm)],[zip_derived_cl86]) ).

thf(zip_derived_cl92_001,plain,
    ( ( mono_2Ec_2Ecomplex_2Ecomplex__inv @ '#sk1' )
    = ( mono_2Ec_2Ecomplex_2Ecomplex__of__num @ mono_2Ec_2Enum_2E0 ) ),
    inference('simplify nested equalities',[status(thm)],[zip_derived_cl90]) ).

thf(zip_derived_cl95,plain,
    ( '#sk1'
    = ( mono_2Ec_2Ecomplex_2Ecomplex__inv @ '#sk1' ) ),
    inference(demod,[status(thm)],[zip_derived_cl80,zip_derived_cl92,zip_derived_cl87,zip_derived_cl92]) ).

thf(zip_derived_cl89,plain,
    ( '#sk1'
   != ( mono_2Ec_2Ecomplex_2Ecomplex__of__num @ mono_2Ec_2Enum_2E0 ) ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl88]) ).

thf(zip_derived_cl91,plain,
    ( '#sk1'
   != ( mono_2Ec_2Ecomplex_2Ecomplex__of__num @ mono_2Ec_2Enum_2E0 ) ),
    inference('simplify nested equalities',[status(thm)],[zip_derived_cl89]) ).

thf(zip_derived_cl92_002,plain,
    ( ( mono_2Ec_2Ecomplex_2Ecomplex__inv @ '#sk1' )
    = ( mono_2Ec_2Ecomplex_2Ecomplex__of__num @ mono_2Ec_2Enum_2E0 ) ),
    inference('simplify nested equalities',[status(thm)],[zip_derived_cl90]) ).

thf(zip_derived_cl96,plain,
    ( '#sk1'
   != ( mono_2Ec_2Ecomplex_2Ecomplex__inv @ '#sk1' ) ),
    inference(demod,[status(thm)],[zip_derived_cl91,zip_derived_cl92]) ).

thf(zip_derived_cl97,plain,
    $false,
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl95,zip_derived_cl96]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem  : ITP019^4 : TPTP v9.2.0. Bugfixed v7.5.0.
% 0.06/0.14  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.c0eKyv9pdZ true
% 0.13/0.34  % Computer : n020.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 15:29:10 EDT 2025
% 0.13/0.34  % CPUTime  : 
% 0.13/0.34  % Running portfolio for 300 s
% 0.13/0.34  % File         : /export/starexec/sandbox2/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
% 0.42/0.61  % Total configuration time : 828
% 0.42/0.61  % Estimated wc time : 1656
% 0.42/0.61  % Estimated cpu time (8 cpus) : 207.0
% 0.47/0.71  % /export/starexec/sandbox2/solver/bin/lams/40_c.s.sh running for 80s
% 0.47/0.72  % /export/starexec/sandbox2/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.47/0.72  % /export/starexec/sandbox2/solver/bin/lams/40_noforms.sh running for 90s
% 0.47/0.72  % /export/starexec/sandbox2/solver/bin/lams/15_e_short1.sh running for 30s
% 0.47/0.72  % /export/starexec/sandbox2/solver/bin/lams/40_c_ic.sh running for 80s
% 0.47/0.75  % /export/starexec/sandbox2/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 0.49/0.80  % /export/starexec/sandbox2/solver/bin/lams/40_b.comb.sh running for 70s
% 0.49/0.83  % /export/starexec/sandbox2/solver/bin/lams/30_sp5.sh running for 60s
% 50.98/9.40  % Solved by lams/30_sp5.sh.
% 50.98/9.40  % done 0 iterations in 8.448s
% 50.98/9.40  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 50.98/9.40  % SZS output start Refutation
% See solution above
% 50.98/9.40  
% 50.98/9.40  
% 50.98/9.40  % Terminating...
% 51.45/9.54  % Runner terminated.
% 51.47/9.56  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------