TSTP Solution File: ITP019+4 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : ITP019+4 : 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.72kVfyMMYy true

% Computer : n023.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 30.81s 5.01s
% Output   : Refutation 30.81s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :   12
% Syntax   : Number of formulae    :   26 (  11 unt;   9 typ;   0 def)
%            Number of atoms       :   23 (  22 equ;   0 cnn)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :  261 (  10   ~;   3   |;   0   &; 245   @)
%                                         (   1 <=>;   2  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    5 (   2 avg)
%            Number of types       :    1 (   0 usr)
%            Number of type conns  :    6 (   6   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   11 (   9 usr;   6 con; 0-2 aty)
%            Number of variables   :    5 (   0   ^;   5   !;   0   ?;   5   :)

% Comments : 
%------------------------------------------------------------------------------
thf(s_type,type,
    s: $i > $i > $i ).

thf(c_2Ecomplex_2Ecomplex__inv_2E1_type,type,
    c_2Ecomplex_2Ecomplex__inv_2E1: $i > $i ).

thf(c_2Earithmetic_2EZERO_2E0_type,type,
    c_2Earithmetic_2EZERO_2E0: $i ).

thf(tyop_2Enum_2Enum_type,type,
    tyop_2Enum_2Enum: $i ).

thf(tyop_2Erealax_2Ereal_type,type,
    tyop_2Erealax_2Ereal: $i ).

thf(c_2Ecomplex_2Ecomplex__of__num_2E1_type,type,
    c_2Ecomplex_2Ecomplex__of__num_2E1: $i > $i ).

thf(c_2Enum_2E0_2E0_type,type,
    c_2Enum_2E0_2E0: $i ).

thf(sk__4_type,type,
    sk__4: $i ).

thf(tyop_2Epair_2Eprod_type,type,
    tyop_2Epair_2Eprod: $i > $i > $i ).

thf(thm_2Ecomplex_2ECOMPLEX__INV__NZ,conjecture,
    ! [V0z_2E0: $i] :
      ( ( ( s @ ( tyop_2Epair_2Eprod @ tyop_2Erealax_2Ereal @ tyop_2Erealax_2Ereal ) @ V0z_2E0 )
       != ( s @ ( tyop_2Epair_2Eprod @ tyop_2Erealax_2Ereal @ tyop_2Erealax_2Ereal ) @ ( c_2Ecomplex_2Ecomplex__of__num_2E1 @ ( s @ tyop_2Enum_2Enum @ c_2Enum_2E0_2E0 ) ) ) )
     => ( ( s @ ( tyop_2Epair_2Eprod @ tyop_2Erealax_2Ereal @ tyop_2Erealax_2Ereal ) @ ( c_2Ecomplex_2Ecomplex__inv_2E1 @ ( s @ ( tyop_2Epair_2Eprod @ tyop_2Erealax_2Ereal @ tyop_2Erealax_2Ereal ) @ V0z_2E0 ) ) )
       != ( s @ ( tyop_2Epair_2Eprod @ tyop_2Erealax_2Ereal @ tyop_2Erealax_2Ereal ) @ ( c_2Ecomplex_2Ecomplex__of__num_2E1 @ ( s @ tyop_2Enum_2Enum @ c_2Enum_2E0_2E0 ) ) ) ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ! [V0z_2E0: $i] :
        ( ( ( s @ ( tyop_2Epair_2Eprod @ tyop_2Erealax_2Ereal @ tyop_2Erealax_2Ereal ) @ V0z_2E0 )
         != ( s @ ( tyop_2Epair_2Eprod @ tyop_2Erealax_2Ereal @ tyop_2Erealax_2Ereal ) @ ( c_2Ecomplex_2Ecomplex__of__num_2E1 @ ( s @ tyop_2Enum_2Enum @ c_2Enum_2E0_2E0 ) ) ) )
       => ( ( s @ ( tyop_2Epair_2Eprod @ tyop_2Erealax_2Ereal @ tyop_2Erealax_2Ereal ) @ ( c_2Ecomplex_2Ecomplex__inv_2E1 @ ( s @ ( tyop_2Epair_2Eprod @ tyop_2Erealax_2Ereal @ tyop_2Erealax_2Ereal ) @ V0z_2E0 ) ) )
         != ( s @ ( tyop_2Epair_2Eprod @ tyop_2Erealax_2Ereal @ tyop_2Erealax_2Ereal ) @ ( c_2Ecomplex_2Ecomplex__of__num_2E1 @ ( s @ tyop_2Enum_2Enum @ c_2Enum_2E0_2E0 ) ) ) ) ),
    inference('cnf.neg',[status(esa)],[thm_2Ecomplex_2ECOMPLEX__INV__NZ]) ).

thf(zip_derived_cl67,plain,
    ( ( s @ ( tyop_2Epair_2Eprod @ tyop_2Erealax_2Ereal @ tyop_2Erealax_2Ereal ) @ ( c_2Ecomplex_2Ecomplex__inv_2E1 @ ( s @ ( tyop_2Epair_2Eprod @ tyop_2Erealax_2Ereal @ tyop_2Erealax_2Ereal ) @ sk__4 ) ) )
    = ( s @ ( tyop_2Epair_2Eprod @ tyop_2Erealax_2Ereal @ tyop_2Erealax_2Ereal ) @ ( c_2Ecomplex_2Ecomplex__of__num_2E1 @ ( s @ tyop_2Enum_2Enum @ c_2Enum_2E0_2E0 ) ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(thm_2Earithmetic_2EALT__ZERO,axiom,
    ( ( s @ tyop_2Enum_2Enum @ c_2Earithmetic_2EZERO_2E0 )
    = ( s @ tyop_2Enum_2Enum @ c_2Enum_2E0_2E0 ) ) ).

thf(zip_derived_cl7,plain,
    ( ( s @ tyop_2Enum_2Enum @ c_2Earithmetic_2EZERO_2E0 )
    = ( s @ tyop_2Enum_2Enum @ c_2Enum_2E0_2E0 ) ),
    inference(cnf,[status(esa)],[thm_2Earithmetic_2EALT__ZERO]) ).

thf(zip_derived_cl71,plain,
    ( ( s @ ( tyop_2Epair_2Eprod @ tyop_2Erealax_2Ereal @ tyop_2Erealax_2Ereal ) @ ( c_2Ecomplex_2Ecomplex__inv_2E1 @ ( s @ ( tyop_2Epair_2Eprod @ tyop_2Erealax_2Ereal @ tyop_2Erealax_2Ereal ) @ sk__4 ) ) )
    = ( s @ ( tyop_2Epair_2Eprod @ tyop_2Erealax_2Ereal @ tyop_2Erealax_2Ereal ) @ ( c_2Ecomplex_2Ecomplex__of__num_2E1 @ ( s @ tyop_2Enum_2Enum @ c_2Earithmetic_2EZERO_2E0 ) ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl67,zip_derived_cl7]) ).

thf(thm_2Ecomplex_2ECOMPLEX__INV__EQ__0,axiom,
    ! [V0z_2E0: $i] :
      ( ( ( s @ ( tyop_2Epair_2Eprod @ tyop_2Erealax_2Ereal @ tyop_2Erealax_2Ereal ) @ ( c_2Ecomplex_2Ecomplex__inv_2E1 @ ( s @ ( tyop_2Epair_2Eprod @ tyop_2Erealax_2Ereal @ tyop_2Erealax_2Ereal ) @ V0z_2E0 ) ) )
        = ( s @ ( tyop_2Epair_2Eprod @ tyop_2Erealax_2Ereal @ tyop_2Erealax_2Ereal ) @ ( c_2Ecomplex_2Ecomplex__of__num_2E1 @ ( s @ tyop_2Enum_2Enum @ c_2Enum_2E0_2E0 ) ) ) )
    <=> ( ( s @ ( tyop_2Epair_2Eprod @ tyop_2Erealax_2Ereal @ tyop_2Erealax_2Ereal ) @ V0z_2E0 )
        = ( s @ ( tyop_2Epair_2Eprod @ tyop_2Erealax_2Ereal @ tyop_2Erealax_2Ereal ) @ ( c_2Ecomplex_2Ecomplex__of__num_2E1 @ ( s @ tyop_2Enum_2Enum @ c_2Enum_2E0_2E0 ) ) ) ) ) ).

thf(zip_derived_cl64,plain,
    ! [X0: $i] :
      ( ( ( s @ ( tyop_2Epair_2Eprod @ tyop_2Erealax_2Ereal @ tyop_2Erealax_2Ereal ) @ X0 )
        = ( s @ ( tyop_2Epair_2Eprod @ tyop_2Erealax_2Ereal @ tyop_2Erealax_2Ereal ) @ ( c_2Ecomplex_2Ecomplex__of__num_2E1 @ ( s @ tyop_2Enum_2Enum @ c_2Enum_2E0_2E0 ) ) ) )
      | ( ( s @ ( tyop_2Epair_2Eprod @ tyop_2Erealax_2Ereal @ tyop_2Erealax_2Ereal ) @ ( c_2Ecomplex_2Ecomplex__inv_2E1 @ ( s @ ( tyop_2Epair_2Eprod @ tyop_2Erealax_2Ereal @ tyop_2Erealax_2Ereal ) @ X0 ) ) )
       != ( s @ ( tyop_2Epair_2Eprod @ tyop_2Erealax_2Ereal @ tyop_2Erealax_2Ereal ) @ ( c_2Ecomplex_2Ecomplex__of__num_2E1 @ ( s @ tyop_2Enum_2Enum @ c_2Enum_2E0_2E0 ) ) ) ) ),
    inference(cnf,[status(esa)],[thm_2Ecomplex_2ECOMPLEX__INV__EQ__0]) ).

thf(zip_derived_cl7_001,plain,
    ( ( s @ tyop_2Enum_2Enum @ c_2Earithmetic_2EZERO_2E0 )
    = ( s @ tyop_2Enum_2Enum @ c_2Enum_2E0_2E0 ) ),
    inference(cnf,[status(esa)],[thm_2Earithmetic_2EALT__ZERO]) ).

thf(zip_derived_cl7_002,plain,
    ( ( s @ tyop_2Enum_2Enum @ c_2Earithmetic_2EZERO_2E0 )
    = ( s @ tyop_2Enum_2Enum @ c_2Enum_2E0_2E0 ) ),
    inference(cnf,[status(esa)],[thm_2Earithmetic_2EALT__ZERO]) ).

thf(zip_derived_cl74,plain,
    ! [X0: $i] :
      ( ( ( s @ ( tyop_2Epair_2Eprod @ tyop_2Erealax_2Ereal @ tyop_2Erealax_2Ereal ) @ X0 )
        = ( s @ ( tyop_2Epair_2Eprod @ tyop_2Erealax_2Ereal @ tyop_2Erealax_2Ereal ) @ ( c_2Ecomplex_2Ecomplex__of__num_2E1 @ ( s @ tyop_2Enum_2Enum @ c_2Earithmetic_2EZERO_2E0 ) ) ) )
      | ( ( s @ ( tyop_2Epair_2Eprod @ tyop_2Erealax_2Ereal @ tyop_2Erealax_2Ereal ) @ ( c_2Ecomplex_2Ecomplex__inv_2E1 @ ( s @ ( tyop_2Epair_2Eprod @ tyop_2Erealax_2Ereal @ tyop_2Erealax_2Ereal ) @ X0 ) ) )
       != ( s @ ( tyop_2Epair_2Eprod @ tyop_2Erealax_2Ereal @ tyop_2Erealax_2Ereal ) @ ( c_2Ecomplex_2Ecomplex__of__num_2E1 @ ( s @ tyop_2Enum_2Enum @ c_2Earithmetic_2EZERO_2E0 ) ) ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl64,zip_derived_cl7,zip_derived_cl7]) ).

thf(zip_derived_cl76,plain,
    ( ( ( s @ ( tyop_2Epair_2Eprod @ tyop_2Erealax_2Ereal @ tyop_2Erealax_2Ereal ) @ ( c_2Ecomplex_2Ecomplex__of__num_2E1 @ ( s @ tyop_2Enum_2Enum @ c_2Earithmetic_2EZERO_2E0 ) ) )
     != ( s @ ( tyop_2Epair_2Eprod @ tyop_2Erealax_2Ereal @ tyop_2Erealax_2Ereal ) @ ( c_2Ecomplex_2Ecomplex__of__num_2E1 @ ( s @ tyop_2Enum_2Enum @ c_2Earithmetic_2EZERO_2E0 ) ) ) )
    | ( ( s @ ( tyop_2Epair_2Eprod @ tyop_2Erealax_2Ereal @ tyop_2Erealax_2Ereal ) @ sk__4 )
      = ( s @ ( tyop_2Epair_2Eprod @ tyop_2Erealax_2Ereal @ tyop_2Erealax_2Ereal ) @ ( c_2Ecomplex_2Ecomplex__of__num_2E1 @ ( s @ tyop_2Enum_2Enum @ c_2Earithmetic_2EZERO_2E0 ) ) ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl71,zip_derived_cl74]) ).

thf(zip_derived_cl84,plain,
    ( ( s @ ( tyop_2Epair_2Eprod @ tyop_2Erealax_2Ereal @ tyop_2Erealax_2Ereal ) @ sk__4 )
    = ( s @ ( tyop_2Epair_2Eprod @ tyop_2Erealax_2Ereal @ tyop_2Erealax_2Ereal ) @ ( c_2Ecomplex_2Ecomplex__of__num_2E1 @ ( s @ tyop_2Enum_2Enum @ c_2Earithmetic_2EZERO_2E0 ) ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl76]) ).

thf(zip_derived_cl66,plain,
    ( ( s @ ( tyop_2Epair_2Eprod @ tyop_2Erealax_2Ereal @ tyop_2Erealax_2Ereal ) @ sk__4 )
   != ( s @ ( tyop_2Epair_2Eprod @ tyop_2Erealax_2Ereal @ tyop_2Erealax_2Ereal ) @ ( c_2Ecomplex_2Ecomplex__of__num_2E1 @ ( s @ tyop_2Enum_2Enum @ c_2Enum_2E0_2E0 ) ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl7_003,plain,
    ( ( s @ tyop_2Enum_2Enum @ c_2Earithmetic_2EZERO_2E0 )
    = ( s @ tyop_2Enum_2Enum @ c_2Enum_2E0_2E0 ) ),
    inference(cnf,[status(esa)],[thm_2Earithmetic_2EALT__ZERO]) ).

thf(zip_derived_cl68,plain,
    ( ( s @ ( tyop_2Epair_2Eprod @ tyop_2Erealax_2Ereal @ tyop_2Erealax_2Ereal ) @ sk__4 )
   != ( s @ ( tyop_2Epair_2Eprod @ tyop_2Erealax_2Ereal @ tyop_2Erealax_2Ereal ) @ ( c_2Ecomplex_2Ecomplex__of__num_2E1 @ ( s @ tyop_2Enum_2Enum @ c_2Earithmetic_2EZERO_2E0 ) ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl66,zip_derived_cl7]) ).

thf(zip_derived_cl85,plain,
    $false,
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl84,zip_derived_cl68]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : ITP019+4 : TPTP v8.1.2. Bugfixed v7.5.0.
% 0.13/0.13  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.72kVfyMMYy true
% 0.13/0.35  % Computer : n023.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit : 300
% 0.13/0.35  % WCLimit  : 300
% 0.13/0.35  % DateTime : Sun Aug 27 17:20:42 EDT 2023
% 0.13/0.35  % CPUTime  : 
% 0.13/0.35  % Running portfolio for 300 s
% 0.13/0.35  % File         : /export/starexec/sandbox2/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 FO mode
% 0.55/0.66  % Total configuration time : 435
% 0.55/0.66  % Estimated wc time : 1092
% 0.55/0.66  % Estimated cpu time (7 cpus) : 156.0
% 0.55/0.70  % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.55/0.71  % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.55/0.73  % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.55/0.75  % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.55/0.75  % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.55/0.75  % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 0.55/0.75  % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 30.81/5.01  % Solved by fo/fo4.sh.
% 30.81/5.01  % done 19 iterations in 4.229s
% 30.81/5.01  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 30.81/5.01  % SZS output start Refutation
% See solution above
% 30.81/5.01  
% 30.81/5.01  
% 30.81/5.01  % Terminating...
% 31.30/5.09  % Runner terminated.
% 31.30/5.11  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------