TSTP Solution File: ITP019+2 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : ITP019+2 : TPTP v8.1.2. Bugfixed v7.5.0.
% Transfm  : NO INFORMATION
% Format   : NO INFORMATION
% Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.E30C86vyoq true

% Computer : n011.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 05:21:26 EDT 2023

% Result   : Theorem 1.18s 0.74s
% Output   : Refutation 1.18s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :   10
% Syntax   : Number of formulae    :   19 (   5 unt;   8 typ;   0 def)
%            Number of atoms       :   22 (  15 equ;   0 cnn)
%            Maximal formula atoms :    3 (   2 avg)
%            Number of connectives :   90 (  11   ~;   5   |;   0   &;  68   @)
%                                         (   1 <=>;   5  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   4 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    6 (   6   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   10 (   8 usr;   6 con; 0-2 aty)
%            Number of variables   :    4 (   0   ^;   4   !;   0   ?;   4   :)

% Comments : 
%------------------------------------------------------------------------------
thf(c_2Ecomplex_2Ecomplex__inv_type,type,
    c_2Ecomplex_2Ecomplex__inv: $i ).

thf(c_2Enum_2E0_type,type,
    c_2Enum_2E0: $i ).

thf(c_2Ecomplex_2Ecomplex__of__num_type,type,
    c_2Ecomplex_2Ecomplex__of__num: $i ).

thf(mem_type,type,
    mem: $i > $i > $o ).

thf(ty_2Epair_2Eprod_type,type,
    ty_2Epair_2Eprod: $i > $i > $i ).

thf(ap_type,type,
    ap: $i > $i > $i ).

thf(ty_2Erealax_2Ereal_type,type,
    ty_2Erealax_2Ereal: $i ).

thf(sk__3_type,type,
    sk__3: $i ).

thf(conj_thm_2Ecomplex_2ECOMPLEX__INV__NZ,conjecture,
    ! [V0z: $i] :
      ( ( mem @ V0z @ ( ty_2Epair_2Eprod @ ty_2Erealax_2Ereal @ ty_2Erealax_2Ereal ) )
     => ( ( V0z
         != ( ap @ c_2Ecomplex_2Ecomplex__of__num @ c_2Enum_2E0 ) )
       => ( ( ap @ c_2Ecomplex_2Ecomplex__inv @ V0z )
         != ( ap @ c_2Ecomplex_2Ecomplex__of__num @ c_2Enum_2E0 ) ) ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ! [V0z: $i] :
        ( ( mem @ V0z @ ( ty_2Epair_2Eprod @ ty_2Erealax_2Ereal @ ty_2Erealax_2Ereal ) )
       => ( ( V0z
           != ( ap @ c_2Ecomplex_2Ecomplex__of__num @ c_2Enum_2E0 ) )
         => ( ( ap @ c_2Ecomplex_2Ecomplex__inv @ V0z )
           != ( ap @ c_2Ecomplex_2Ecomplex__of__num @ c_2Enum_2E0 ) ) ) ),
    inference('cnf.neg',[status(esa)],[conj_thm_2Ecomplex_2ECOMPLEX__INV__NZ]) ).

thf(zip_derived_cl46,plain,
    ( ( ap @ c_2Ecomplex_2Ecomplex__inv @ sk__3 )
    = ( ap @ c_2Ecomplex_2Ecomplex__of__num @ c_2Enum_2E0 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(conj_thm_2Ecomplex_2ECOMPLEX__INV__EQ__0,axiom,
    ! [V0z: $i] :
      ( ( mem @ V0z @ ( ty_2Epair_2Eprod @ ty_2Erealax_2Ereal @ ty_2Erealax_2Ereal ) )
     => ( ( ( ap @ c_2Ecomplex_2Ecomplex__inv @ V0z )
          = ( ap @ c_2Ecomplex_2Ecomplex__of__num @ c_2Enum_2E0 ) )
      <=> ( V0z
          = ( ap @ c_2Ecomplex_2Ecomplex__of__num @ c_2Enum_2E0 ) ) ) ) ).

thf(zip_derived_cl44,plain,
    ! [X0: $i] :
      ( ( ( ap @ c_2Ecomplex_2Ecomplex__inv @ X0 )
       != ( ap @ c_2Ecomplex_2Ecomplex__of__num @ c_2Enum_2E0 ) )
      | ( X0
        = ( ap @ c_2Ecomplex_2Ecomplex__of__num @ c_2Enum_2E0 ) )
      | ~ ( mem @ X0 @ ( ty_2Epair_2Eprod @ ty_2Erealax_2Ereal @ ty_2Erealax_2Ereal ) ) ),
    inference(cnf,[status(esa)],[conj_thm_2Ecomplex_2ECOMPLEX__INV__EQ__0]) ).

thf(zip_derived_cl280,plain,
    ( ( ( ap @ c_2Ecomplex_2Ecomplex__of__num @ c_2Enum_2E0 )
     != ( ap @ c_2Ecomplex_2Ecomplex__of__num @ c_2Enum_2E0 ) )
    | ( sk__3
      = ( ap @ c_2Ecomplex_2Ecomplex__of__num @ c_2Enum_2E0 ) )
    | ~ ( mem @ sk__3 @ ( ty_2Epair_2Eprod @ ty_2Erealax_2Ereal @ ty_2Erealax_2Ereal ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl46,zip_derived_cl44]) ).

thf(zip_derived_cl45,plain,
    mem @ sk__3 @ ( ty_2Epair_2Eprod @ ty_2Erealax_2Ereal @ ty_2Erealax_2Ereal ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl281,plain,
    ( ( ( ap @ c_2Ecomplex_2Ecomplex__of__num @ c_2Enum_2E0 )
     != ( ap @ c_2Ecomplex_2Ecomplex__of__num @ c_2Enum_2E0 ) )
    | ( sk__3
      = ( ap @ c_2Ecomplex_2Ecomplex__of__num @ c_2Enum_2E0 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl280,zip_derived_cl45]) ).

thf(zip_derived_cl282,plain,
    ( sk__3
    = ( ap @ c_2Ecomplex_2Ecomplex__of__num @ c_2Enum_2E0 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl281]) ).

thf(zip_derived_cl47,plain,
    ( sk__3
   != ( ap @ c_2Ecomplex_2Ecomplex__of__num @ c_2Enum_2E0 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl283,plain,
    $false,
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl282,zip_derived_cl47]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : ITP019+2 : TPTP v8.1.2. Bugfixed v7.5.0.
% 0.11/0.13  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.E30C86vyoq true
% 0.14/0.34  % Computer : n011.cluster.edu
% 0.14/0.34  % Model    : x86_64 x86_64
% 0.14/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34  % Memory   : 8042.1875MB
% 0.14/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34  % CPULimit : 300
% 0.14/0.34  % WCLimit  : 300
% 0.14/0.34  % DateTime : Sun Aug 27 14:23:10 EDT 2023
% 0.14/0.34  % CPUTime  : 
% 0.14/0.34  % Running portfolio for 300 s
% 0.14/0.34  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.14/0.34  % Number of cores: 8
% 0.14/0.35  % Python version: Python 3.6.8
% 0.14/0.35  % Running in FO mode
% 0.21/0.64  % Total configuration time : 435
% 0.21/0.64  % Estimated wc time : 1092
% 0.21/0.64  % Estimated cpu time (7 cpus) : 156.0
% 0.21/0.70  % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.86/0.72  % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 1.18/0.74  % Solved by fo/fo6_bce.sh.
% 1.18/0.74  % BCE start: 48
% 1.18/0.74  % BCE eliminated: 0
% 1.18/0.74  % PE start: 48
% 1.18/0.74  logic: eq
% 1.18/0.74  % PE eliminated: 0
% 1.18/0.74  % done 22 iterations in 0.019s
% 1.18/0.74  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 1.18/0.74  % SZS output start Refutation
% See solution above
% 1.18/0.74  
% 1.18/0.74  
% 1.18/0.74  % Terminating...
% 1.37/0.86  % Runner terminated.
% 1.37/0.87  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------