TSTP Solution File: CAT033+4 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : CAT033+4 : TPTP v8.1.2. Released v3.4.0.
% Transfm  : NO INFORMATION
% Format   : NO INFORMATION
% Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.vNdMOtqD5o true

% Computer : n027.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 : Wed Aug 30 18:21:10 EDT 2023

% Result   : Theorem 234.97s 34.18s
% Output   : Refutation 234.97s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :   18
% Syntax   : Number of formulae    :   37 (  13 unt;  13 typ;   0 def)
%            Number of atoms       :   55 (   2 equ;   0 cnn)
%            Maximal formula atoms :    6 (   2 avg)
%            Number of connectives :  174 (  23   ~;  16   |;   5   &; 120   @)
%                                         (   0 <=>;  10  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   13 (   6 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   16 (  16   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   15 (  13 usr;   3 con; 0-3 aty)
%            Number of variables   :   17 (   0   ^;  17   !;   0   ?;  17   :)

% Comments : 
%------------------------------------------------------------------------------
thf(v1_xboole_0_type,type,
    v1_xboole_0: $i > $o ).

thf(k1_yoneda_1_type,type,
    k1_yoneda_1: $i > $i ).

thf(sk__224_type,type,
    sk__224: $i ).

thf(m2_cat_1_type,type,
    m2_cat_1: $i > $i > $i > $o ).

thf(l1_cat_1_type,type,
    l1_cat_1: $i > $o ).

thf(u1_cat_1_type,type,
    u1_cat_1: $i > $i ).

thf(sk__223_type,type,
    sk__223: $i ).

thf(k17_ens_1_type,type,
    k17_ens_1: $i > $i ).

thf(m1_subset_1_type,type,
    m1_subset_1: $i > $i > $o ).

thf(k20_ens_1_type,type,
    k20_ens_1: $i > $i > $i ).

thf(v2_cat_1_type,type,
    v2_cat_1: $i > $o ).

thf(k12_ens_1_type,type,
    k12_ens_1: $i > $i ).

thf(r1_tarski_type,type,
    r1_tarski: $i > $i > $o ).

thf(fc5_ens_1,axiom,
    ! [A: $i] :
      ( ( ( v2_cat_1 @ A )
        & ( l1_cat_1 @ A ) )
     => ~ ( v1_xboole_0 @ ( k17_ens_1 @ A ) ) ) ).

thf(zip_derived_cl1061,plain,
    ! [X0: $i] :
      ( ~ ( v1_xboole_0 @ ( k17_ens_1 @ X0 ) )
      | ~ ( l1_cat_1 @ X0 )
      | ~ ( v2_cat_1 @ X0 ) ),
    inference(cnf,[status(esa)],[fc5_ens_1]) ).

thf(d1_yoneda_1,axiom,
    ! [A: $i] :
      ( ( ( v2_cat_1 @ A )
        & ( l1_cat_1 @ A ) )
     => ( ( k1_yoneda_1 @ A )
        = ( k12_ens_1 @ ( k17_ens_1 @ A ) ) ) ) ).

thf(zip_derived_cl1250,plain,
    ! [X0: $i] :
      ( ( ( k1_yoneda_1 @ X0 )
        = ( k12_ens_1 @ ( k17_ens_1 @ X0 ) ) )
      | ~ ( l1_cat_1 @ X0 )
      | ~ ( v2_cat_1 @ X0 ) ),
    inference(cnf,[status(esa)],[d1_yoneda_1]) ).

thf(t2_yoneda_1,conjecture,
    ! [A: $i] :
      ( ( ( v2_cat_1 @ A )
        & ( l1_cat_1 @ A ) )
     => ! [B: $i] :
          ( ( m1_subset_1 @ B @ ( u1_cat_1 @ A ) )
         => ( m2_cat_1 @ ( k20_ens_1 @ A @ B ) @ A @ ( k1_yoneda_1 @ A ) ) ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ! [A: $i] :
        ( ( ( v2_cat_1 @ A )
          & ( l1_cat_1 @ A ) )
       => ! [B: $i] :
            ( ( m1_subset_1 @ B @ ( u1_cat_1 @ A ) )
           => ( m2_cat_1 @ ( k20_ens_1 @ A @ B ) @ A @ ( k1_yoneda_1 @ A ) ) ) ),
    inference('cnf.neg',[status(esa)],[t2_yoneda_1]) ).

thf(zip_derived_cl1254,plain,
    ~ ( m2_cat_1 @ ( k20_ens_1 @ sk__223 @ sk__224 ) @ sk__223 @ ( k1_yoneda_1 @ sk__223 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl11335,plain,
    ( ~ ( m2_cat_1 @ ( k20_ens_1 @ sk__223 @ sk__224 ) @ sk__223 @ ( k12_ens_1 @ ( k17_ens_1 @ sk__223 ) ) )
    | ~ ( v2_cat_1 @ sk__223 )
    | ~ ( l1_cat_1 @ sk__223 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl1250,zip_derived_cl1254]) ).

thf(zip_derived_cl1252,plain,
    v2_cat_1 @ sk__223,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl1253,plain,
    l1_cat_1 @ sk__223,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl11338,plain,
    ~ ( m2_cat_1 @ ( k20_ens_1 @ sk__223 @ sk__224 ) @ sk__223 @ ( k12_ens_1 @ ( k17_ens_1 @ sk__223 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl11335,zip_derived_cl1252,zip_derived_cl1253]) ).

thf(t49_ens_1,axiom,
    ! [A: $i] :
      ( ~ ( v1_xboole_0 @ A )
     => ! [B: $i] :
          ( ( ( v2_cat_1 @ B )
            & ( l1_cat_1 @ B ) )
         => ! [C: $i] :
              ( ( m1_subset_1 @ C @ ( u1_cat_1 @ B ) )
             => ( ( r1_tarski @ ( k17_ens_1 @ B ) @ A )
               => ( m2_cat_1 @ ( k20_ens_1 @ B @ C ) @ B @ ( k12_ens_1 @ A ) ) ) ) ) ) ).

thf(zip_derived_cl1096,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( v2_cat_1 @ X0 )
      | ~ ( l1_cat_1 @ X0 )
      | ~ ( r1_tarski @ ( k17_ens_1 @ X0 ) @ X1 )
      | ( m2_cat_1 @ ( k20_ens_1 @ X0 @ X2 ) @ X0 @ ( k12_ens_1 @ X1 ) )
      | ~ ( m1_subset_1 @ X2 @ ( u1_cat_1 @ X0 ) )
      | ( v1_xboole_0 @ X1 ) ),
    inference(cnf,[status(esa)],[t49_ens_1]) ).

thf(zip_derived_cl45336,plain,
    ( ( v1_xboole_0 @ ( k17_ens_1 @ sk__223 ) )
    | ~ ( m1_subset_1 @ sk__224 @ ( u1_cat_1 @ sk__223 ) )
    | ~ ( r1_tarski @ ( k17_ens_1 @ sk__223 ) @ ( k17_ens_1 @ sk__223 ) )
    | ~ ( l1_cat_1 @ sk__223 )
    | ~ ( v2_cat_1 @ sk__223 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl11338,zip_derived_cl1096]) ).

thf(zip_derived_cl1255,plain,
    m1_subset_1 @ sk__224 @ ( u1_cat_1 @ sk__223 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(reflexivity_r1_tarski,axiom,
    ! [A: $i,B: $i] : ( r1_tarski @ A @ A ) ).

thf(zip_derived_cl9,plain,
    ! [X0: $i] : ( r1_tarski @ X0 @ X0 ),
    inference(cnf,[status(esa)],[reflexivity_r1_tarski]) ).

thf(zip_derived_cl1253_001,plain,
    l1_cat_1 @ sk__223,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl1252_002,plain,
    v2_cat_1 @ sk__223,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl45340,plain,
    v1_xboole_0 @ ( k17_ens_1 @ sk__223 ),
    inference(demod,[status(thm)],[zip_derived_cl45336,zip_derived_cl1255,zip_derived_cl9,zip_derived_cl1253,zip_derived_cl1252]) ).

thf(zip_derived_cl45358,plain,
    ( ~ ( v2_cat_1 @ sk__223 )
    | ~ ( l1_cat_1 @ sk__223 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl1061,zip_derived_cl45340]) ).

thf(zip_derived_cl1252_003,plain,
    v2_cat_1 @ sk__223,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl1253_004,plain,
    l1_cat_1 @ sk__223,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl45359,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl45358,zip_derived_cl1252,zip_derived_cl1253]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : CAT033+4 : TPTP v8.1.2. Released v3.4.0.
% 0.00/0.13  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.vNdMOtqD5o true
% 0.13/0.34  % Computer : n027.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 : Sun Aug 27 00:35:11 EDT 2023
% 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 FO mode
% 0.20/0.64  % Total configuration time : 435
% 0.20/0.64  % Estimated wc time : 1092
% 0.20/0.64  % Estimated cpu time (7 cpus) : 156.0
% 0.20/0.69  % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.20/0.70  % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.20/0.72  % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.20/0.73  % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.20/0.75  % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.20/0.76  % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.20/0.77  % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 234.97/34.18  % Solved by fo/fo3_bce.sh.
% 234.97/34.18  % BCE start: 1256
% 234.97/34.18  % BCE eliminated: 69
% 234.97/34.18  % PE start: 1187
% 234.97/34.18  logic: eq
% 234.97/34.18  % PE eliminated: 22
% 234.97/34.18  % done 6640 iterations in 33.452s
% 234.97/34.18  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 234.97/34.18  % SZS output start Refutation
% See solution above
% 234.97/34.18  
% 234.97/34.18  
% 234.97/34.18  % Terminating...
% 235.17/34.25  % Runner terminated.
% 235.17/34.25  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------