TSTP Solution File: LAT300+1 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : LAT300+1 : 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.9CK8RhZRNF true

% Computer : n006.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 06:46:42 EDT 2023

% Result   : Theorem 0.21s 0.81s
% Output   : Refutation 0.21s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   11
%            Number of leaves      :   19
% Syntax   : Number of formulae    :   46 (  15 unt;  13 typ;   0 def)
%            Number of atoms       :   90 (   0 equ;   0 cnn)
%            Maximal formula atoms :    7 (   2 avg)
%            Number of connectives :  242 (  39   ~;  35   |;  12   &; 146   @)
%                                         (   0 <=>;  10  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   10 (   6 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   15 (  15   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   14 (  13 usr;   3 con; 0-2 aty)
%            Number of variables   :   34 (   0   ^;  31   !;   3   ?;  34   :)

% Comments : 
%------------------------------------------------------------------------------
thf(r2_hidden_type,type,
    r2_hidden: $i > $i > $o ).

thf(v3_struct_0_type,type,
    v3_struct_0: $i > $o ).

thf(m2_lattice4_type,type,
    m2_lattice4: $i > $i > $o ).

thf(sk__type,type,
    sk_: $i ).

thf(m2_filter_2_type,type,
    m2_filter_2: $i > $i > $o ).

thf(sk__7_type,type,
    sk__7: $i > $i ).

thf(v10_lattices_type,type,
    v10_lattices: $i > $o ).

thf(k1_zfmisc_1_type,type,
    k1_zfmisc_1: $i > $i ).

thf(sk__1_type,type,
    sk__1: $i ).

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

thf(l3_lattices_type,type,
    l3_lattices: $i > $o ).

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

thf(u1_struct_0_type,type,
    u1_struct_0: $i > $i ).

thf(existence_m1_subset_1,axiom,
    ! [A: $i] :
    ? [B: $i] : ( m1_subset_1 @ B @ A ) ).

thf(zip_derived_cl34,plain,
    ! [X0: $i] : ( m1_subset_1 @ ( sk__7 @ X0 ) @ X0 ),
    inference(cnf,[status(esa)],[existence_m1_subset_1]) ).

thf(t2_subset,axiom,
    ! [A: $i,B: $i] :
      ( ( m1_subset_1 @ A @ B )
     => ( ( v1_xboole_0 @ B )
        | ( r2_hidden @ A @ B ) ) ) ).

thf(zip_derived_cl56,plain,
    ! [X0: $i,X1: $i] :
      ( ( r2_hidden @ X0 @ X1 )
      | ( v1_xboole_0 @ X1 )
      | ~ ( m1_subset_1 @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[t2_subset]) ).

thf(t24_filter_2,conjecture,
    ! [A: $i] :
      ( ( ~ ( v3_struct_0 @ A )
        & ( v10_lattices @ A )
        & ( l3_lattices @ A ) )
     => ! [B: $i] :
          ( ( m2_filter_2 @ B @ A )
         => ? [C: $i] :
              ( ( r2_hidden @ C @ B )
              & ( m1_subset_1 @ C @ ( u1_struct_0 @ A ) ) ) ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ! [A: $i] :
        ( ( ~ ( v3_struct_0 @ A )
          & ( v10_lattices @ A )
          & ( l3_lattices @ A ) )
       => ! [B: $i] :
            ( ( m2_filter_2 @ B @ A )
           => ? [C: $i] :
                ( ( r2_hidden @ C @ B )
                & ( m1_subset_1 @ C @ ( u1_struct_0 @ A ) ) ) ) ),
    inference('cnf.neg',[status(esa)],[t24_filter_2]) ).

thf(zip_derived_cl4,plain,
    m2_filter_2 @ sk__1 @ sk_,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(dt_m2_filter_2,axiom,
    ! [A: $i] :
      ( ( ~ ( v3_struct_0 @ A )
        & ( v10_lattices @ A )
        & ( l3_lattices @ A ) )
     => ! [B: $i] :
          ( ( m2_filter_2 @ B @ A )
         => ( ~ ( v1_xboole_0 @ B )
            & ( m2_lattice4 @ B @ A ) ) ) ) ).

thf(zip_derived_cl25,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( m2_filter_2 @ X0 @ X1 )
      | ( m2_lattice4 @ X0 @ X1 )
      | ~ ( l3_lattices @ X1 )
      | ~ ( v10_lattices @ X1 )
      | ( v3_struct_0 @ X1 ) ),
    inference(cnf,[status(esa)],[dt_m2_filter_2]) ).

thf(zip_derived_cl399,plain,
    ( ( v3_struct_0 @ sk_ )
    | ~ ( v10_lattices @ sk_ )
    | ~ ( l3_lattices @ sk_ )
    | ( m2_lattice4 @ sk__1 @ sk_ ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl4,zip_derived_cl25]) ).

thf(dt_m2_lattice4,axiom,
    ! [A: $i] :
      ( ( ~ ( v3_struct_0 @ A )
        & ( v10_lattices @ A )
        & ( l3_lattices @ A ) )
     => ! [B: $i] :
          ( ( m2_lattice4 @ B @ A )
         => ( m1_subset_1 @ B @ ( k1_zfmisc_1 @ ( u1_struct_0 @ A ) ) ) ) ) ).

thf(zip_derived_cl27,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( m2_lattice4 @ X0 @ X1 )
      | ( m1_subset_1 @ X0 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ X1 ) ) )
      | ~ ( l3_lattices @ X1 )
      | ~ ( v10_lattices @ X1 )
      | ( v3_struct_0 @ X1 ) ),
    inference(cnf,[status(esa)],[dt_m2_lattice4]) ).

thf(zip_derived_cl409,plain,
    ( ~ ( l3_lattices @ sk_ )
    | ~ ( v10_lattices @ sk_ )
    | ( v3_struct_0 @ sk_ )
    | ( v3_struct_0 @ sk_ )
    | ~ ( v10_lattices @ sk_ )
    | ~ ( l3_lattices @ sk_ )
    | ( m1_subset_1 @ sk__1 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ sk_ ) ) ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl399,zip_derived_cl27]) ).

thf(zip_derived_cl435,plain,
    ( ( m1_subset_1 @ sk__1 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ sk_ ) ) )
    | ( v3_struct_0 @ sk_ )
    | ~ ( v10_lattices @ sk_ )
    | ~ ( l3_lattices @ sk_ ) ),
    inference(simplify,[status(thm)],[zip_derived_cl409]) ).

thf(zip_derived_cl0,plain,
    ~ ( v3_struct_0 @ sk_ ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl1,plain,
    v10_lattices @ sk_,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl2,plain,
    l3_lattices @ sk_,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl436,plain,
    m1_subset_1 @ sk__1 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ sk_ ) ),
    inference(demod,[status(thm)],[zip_derived_cl435,zip_derived_cl0,zip_derived_cl1,zip_derived_cl2]) ).

thf(t4_subset,axiom,
    ! [A: $i,B: $i,C: $i] :
      ( ( ( r2_hidden @ A @ B )
        & ( m1_subset_1 @ B @ ( k1_zfmisc_1 @ C ) ) )
     => ( m1_subset_1 @ A @ C ) ) ).

thf(zip_derived_cl59,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( r2_hidden @ X0 @ X1 )
      | ~ ( m1_subset_1 @ X1 @ ( k1_zfmisc_1 @ X2 ) )
      | ( m1_subset_1 @ X0 @ X2 ) ),
    inference(cnf,[status(esa)],[t4_subset]) ).

thf(zip_derived_cl453,plain,
    ! [X0: $i] :
      ( ~ ( r2_hidden @ X0 @ sk__1 )
      | ( m1_subset_1 @ X0 @ ( u1_struct_0 @ sk_ ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl436,zip_derived_cl59]) ).

thf(zip_derived_cl3,plain,
    ! [X0: $i] :
      ( ~ ( r2_hidden @ X0 @ sk__1 )
      | ~ ( m1_subset_1 @ X0 @ ( u1_struct_0 @ sk_ ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl457,plain,
    ! [X0: $i] :
      ~ ( r2_hidden @ X0 @ sk__1 ),
    inference(clc,[status(thm)],[zip_derived_cl453,zip_derived_cl3]) ).

thf(zip_derived_cl458,plain,
    ! [X0: $i] :
      ( ~ ( m1_subset_1 @ X0 @ sk__1 )
      | ( v1_xboole_0 @ sk__1 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl56,zip_derived_cl457]) ).

thf(zip_derived_cl4_001,plain,
    m2_filter_2 @ sk__1 @ sk_,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl26,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( m2_filter_2 @ X0 @ X1 )
      | ~ ( v1_xboole_0 @ X0 )
      | ~ ( l3_lattices @ X1 )
      | ~ ( v10_lattices @ X1 )
      | ( v3_struct_0 @ X1 ) ),
    inference(cnf,[status(esa)],[dt_m2_filter_2]) ).

thf(zip_derived_cl400,plain,
    ( ( v3_struct_0 @ sk_ )
    | ~ ( v10_lattices @ sk_ )
    | ~ ( l3_lattices @ sk_ )
    | ~ ( v1_xboole_0 @ sk__1 ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl4,zip_derived_cl26]) ).

thf(zip_derived_cl0_002,plain,
    ~ ( v3_struct_0 @ sk_ ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl1_003,plain,
    v10_lattices @ sk_,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl2_004,plain,
    l3_lattices @ sk_,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl422,plain,
    ~ ( v1_xboole_0 @ sk__1 ),
    inference(demod,[status(thm)],[zip_derived_cl400,zip_derived_cl0,zip_derived_cl1,zip_derived_cl2]) ).

thf(zip_derived_cl459,plain,
    ! [X0: $i] :
      ~ ( m1_subset_1 @ X0 @ sk__1 ),
    inference(demod,[status(thm)],[zip_derived_cl458,zip_derived_cl422]) ).

thf(zip_derived_cl527,plain,
    $false,
    inference('s_sup-',[status(thm)],[zip_derived_cl34,zip_derived_cl459]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : LAT300+1 : 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.9CK8RhZRNF true
% 0.13/0.35  % Computer : n006.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 : Thu Aug 24 06:49:38 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
% 0.13/0.36  % 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
% 0.21/0.73  % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.21/0.73  % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.21/0.73  % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.21/0.76  % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.21/0.76  % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.21/0.78  % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.21/0.78  % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 0.21/0.81  % Solved by fo/fo6_bce.sh.
% 0.21/0.81  % BCE start: 64
% 0.21/0.81  % BCE eliminated: 1
% 0.21/0.81  % PE start: 63
% 0.21/0.81  logic: eq
% 0.21/0.81  % PE eliminated: 14
% 0.21/0.81  % done 58 iterations in 0.040s
% 0.21/0.81  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.21/0.81  % SZS output start Refutation
% See solution above
% 0.21/0.81  
% 0.21/0.81  
% 0.21/0.81  % Terminating...
% 1.45/0.85  % Runner terminated.
% 1.45/0.86  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------