TSTP Solution File: LAT300+2 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : LAT300+2 : TPTP v8.1.2. Released v3.4.0.
% Transfm  : NO INFORMATION
% Format   : NO INFORMATION
% Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.8aPXVEk5cT true

% Computer : n014.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 10.22s 2.06s
% Output   : Refutation 10.22s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :   20
% Syntax   : Number of formulae    :   50 (  18 unt;  14 typ;   0 def)
%            Number of atoms       :   86 (   6 equ;   0 cnn)
%            Maximal formula atoms :    6 (   2 avg)
%            Number of connectives :  214 (  36   ~;  27   |;  12   &; 128   @)
%                                         (   2 <=>;   9  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   10 (   5 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   15 (  15   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   16 (  14 usr;   4 con; 0-2 aty)
%            Number of variables   :   30 (   0   ^;  28   !;   2   ?;  30   :)

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

thf(k1_xboole_0_type,type,
    k1_xboole_0: $i ).

thf(sk__88_type,type,
    sk__88: $i ).

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

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

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

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

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

thf(sk__5_type,type,
    sk__5: $i > $i ).

thf(sk__89_type,type,
    sk__89: $i ).

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

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

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

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

thf(d1_xboole_0,axiom,
    ! [A: $i] :
      ( ( A = k1_xboole_0 )
    <=> ! [B: $i] :
          ~ ( r2_hidden @ B @ A ) ) ).

thf(zip_derived_cl15,plain,
    ! [X0: $i] :
      ( ( X0 = k1_xboole_0 )
      | ( r2_hidden @ ( sk__5 @ X0 ) @ X0 ) ),
    inference(cnf,[status(esa)],[d1_xboole_0]) ).

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_cl641,plain,
    m2_filter_2 @ sk__89 @ sk__88,
    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_cl569,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_cl7950,plain,
    ( ( v3_struct_0 @ sk__88 )
    | ~ ( v10_lattices @ sk__88 )
    | ~ ( l3_lattices @ sk__88 )
    | ( m2_lattice4 @ sk__89 @ sk__88 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl641,zip_derived_cl569]) ).

thf(zip_derived_cl637,plain,
    ~ ( v3_struct_0 @ sk__88 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl638,plain,
    v10_lattices @ sk__88,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl639,plain,
    l3_lattices @ sk__88,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl7951,plain,
    m2_lattice4 @ sk__89 @ sk__88,
    inference(demod,[status(thm)],[zip_derived_cl7950,zip_derived_cl637,zip_derived_cl638,zip_derived_cl639]) ).

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_cl562,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_cl8834,plain,
    ( ( v3_struct_0 @ sk__88 )
    | ~ ( v10_lattices @ sk__88 )
    | ~ ( l3_lattices @ sk__88 )
    | ( m1_subset_1 @ sk__89 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ sk__88 ) ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl7951,zip_derived_cl562]) ).

thf(zip_derived_cl637_001,plain,
    ~ ( v3_struct_0 @ sk__88 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl638_002,plain,
    v10_lattices @ sk__88,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl639_003,plain,
    l3_lattices @ sk__88,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl8839,plain,
    m1_subset_1 @ sk__89 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ sk__88 ) ),
    inference(demod,[status(thm)],[zip_derived_cl8834,zip_derived_cl637,zip_derived_cl638,zip_derived_cl639]) ).

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_cl157,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_cl8849,plain,
    ! [X0: $i] :
      ( ( m1_subset_1 @ X0 @ ( u1_struct_0 @ sk__88 ) )
      | ~ ( r2_hidden @ X0 @ sk__89 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl8839,zip_derived_cl157]) ).

thf(zip_derived_cl640,plain,
    ! [X0: $i] :
      ( ~ ( r2_hidden @ X0 @ sk__89 )
      | ~ ( m1_subset_1 @ X0 @ ( u1_struct_0 @ sk__88 ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl10830,plain,
    ! [X0: $i] :
      ~ ( r2_hidden @ X0 @ sk__89 ),
    inference(clc,[status(thm)],[zip_derived_cl8849,zip_derived_cl640]) ).

thf(zip_derived_cl10855,plain,
    sk__89 = k1_xboole_0,
    inference('sup-',[status(thm)],[zip_derived_cl15,zip_derived_cl10830]) ).

thf(zip_derived_cl641_004,plain,
    m2_filter_2 @ sk__89 @ sk__88,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl570,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_cl7109,plain,
    ( ( v3_struct_0 @ sk__88 )
    | ~ ( v10_lattices @ sk__88 )
    | ~ ( l3_lattices @ sk__88 )
    | ~ ( v1_xboole_0 @ sk__89 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl641,zip_derived_cl570]) ).

thf(zip_derived_cl637_005,plain,
    ~ ( v3_struct_0 @ sk__88 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl638_006,plain,
    v10_lattices @ sk__88,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl639_007,plain,
    l3_lattices @ sk__88,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl7110,plain,
    ~ ( v1_xboole_0 @ sk__89 ),
    inference(demod,[status(thm)],[zip_derived_cl7109,zip_derived_cl637,zip_derived_cl638,zip_derived_cl639]) ).

thf(d5_xboole_0,axiom,
    ! [A: $i] :
      ( ( v1_xboole_0 @ A )
    <=> ( A = k1_xboole_0 ) ) ).

thf(zip_derived_cl17,plain,
    ! [X0: $i] :
      ( ( v1_xboole_0 @ X0 )
      | ( X0 != k1_xboole_0 ) ),
    inference(cnf,[status(esa)],[d5_xboole_0]) ).

thf(zip_derived_cl7112,plain,
    sk__89 != k1_xboole_0,
    inference('sup+',[status(thm)],[zip_derived_cl7110,zip_derived_cl17]) ).

thf(zip_derived_cl10866,plain,
    $false,
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl10855,zip_derived_cl7112]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem  : LAT300+2 : TPTP v8.1.2. Released v3.4.0.
% 0.00/0.14  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.8aPXVEk5cT true
% 0.13/0.35  % Computer : n014.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 04:53:19 EDT 2023
% 0.13/0.35  % CPUTime  : 
% 0.13/0.35  % Running portfolio for 300 s
% 0.13/0.35  % File         : /export/starexec/sandbox/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
% 0.20/0.62  % Total configuration time : 435
% 0.20/0.62  % Estimated wc time : 1092
% 0.20/0.62  % Estimated cpu time (7 cpus) : 156.0
% 0.20/0.69  % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.20/0.70  % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.20/0.74  % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.20/0.74  % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.20/0.75  % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.20/0.76  % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.20/0.78  % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 10.22/2.06  % Solved by fo/fo3_bce.sh.
% 10.22/2.06  % BCE start: 642
% 10.22/2.06  % BCE eliminated: 55
% 10.22/2.06  % PE start: 587
% 10.22/2.06  logic: eq
% 10.22/2.06  % PE eliminated: -11
% 10.22/2.06  % done 1188 iterations in 1.333s
% 10.22/2.06  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 10.22/2.06  % SZS output start Refutation
% See solution above
% 10.22/2.06  
% 10.22/2.06  
% 10.22/2.06  % Terminating...
% 10.83/2.15  % Runner terminated.
% 10.83/2.16  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------