TSTP Solution File: LAT300+3 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : LAT300+3 : 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.n4CiXsX7Au true

% Computer : n024.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 21.93s 3.77s
% Output   : Refutation 21.93s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :   19
% Syntax   : Number of formulae    :   50 (  17 unt;  14 typ;   0 def)
%            Number of atoms       :   92 (  10 equ;   0 cnn)
%            Maximal formula atoms :    6 (   2 avg)
%            Number of connectives :  246 (  42   ~;  33   |;  12   &; 148   @)
%                                         (   1 <=>;  10  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   11 (   5 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   16 (  16   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   16 (  14 usr;   4 con; 0-2 aty)
%            Number of variables   :   27 (   0   ^;  25   !;   2   ?;  27   :)

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

thf(sk__12_type,type,
    sk__12: $i > $i > $i ).

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

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

thf(sk__75_type,type,
    sk__75: $i ).

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

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

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

thf(sk__76_type,type,
    sk__76: $i ).

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

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

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

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

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

thf(t10_subset_1,axiom,
    ! [A: $i,B: $i] :
      ( ( m1_subset_1 @ B @ ( k1_zfmisc_1 @ A ) )
     => ~ ( ( B != k1_xboole_0 )
          & ! [C: $i] :
              ( ( m1_subset_1 @ C @ A )
             => ~ ( r2_hidden @ C @ B ) ) ) ) ).

thf(zip_derived_cl73,plain,
    ! [X0: $i,X1: $i] :
      ( ( r2_hidden @ ( sk__12 @ X0 @ X1 ) @ X0 )
      | ( X0 = k1_xboole_0 )
      | ~ ( m1_subset_1 @ X0 @ ( k1_zfmisc_1 @ X1 ) ) ),
    inference(cnf,[status(esa)],[t10_subset_1]) ).

thf(zip_derived_cl74,plain,
    ! [X0: $i,X1: $i] :
      ( ( m1_subset_1 @ ( sk__12 @ X0 @ X1 ) @ X1 )
      | ( X0 = k1_xboole_0 )
      | ~ ( m1_subset_1 @ X0 @ ( k1_zfmisc_1 @ X1 ) ) ),
    inference(cnf,[status(esa)],[t10_subset_1]) ).

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_cl572,plain,
    ! [X0: $i] :
      ( ~ ( r2_hidden @ X0 @ sk__76 )
      | ~ ( m1_subset_1 @ X0 @ ( u1_struct_0 @ sk__75 ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl6241,plain,
    ! [X0: $i] :
      ( ~ ( m1_subset_1 @ X0 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ sk__75 ) ) )
      | ( X0 = k1_xboole_0 )
      | ~ ( r2_hidden @ ( sk__12 @ X0 @ ( u1_struct_0 @ sk__75 ) ) @ sk__76 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl74,zip_derived_cl572]) ).

thf(zip_derived_cl6818,plain,
    ( ~ ( m1_subset_1 @ sk__76 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ sk__75 ) ) )
    | ( sk__76 = k1_xboole_0 )
    | ( sk__76 = k1_xboole_0 )
    | ~ ( m1_subset_1 @ sk__76 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ sk__75 ) ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl73,zip_derived_cl6241]) ).

thf(zip_derived_cl6819,plain,
    ( ( sk__76 = k1_xboole_0 )
    | ~ ( m1_subset_1 @ sk__76 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ sk__75 ) ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl6818]) ).

thf(zip_derived_cl573,plain,
    m2_filter_2 @ sk__76 @ sk__75,
    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_cl502,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_cl5706,plain,
    ( ( v3_struct_0 @ sk__75 )
    | ~ ( v10_lattices @ sk__75 )
    | ~ ( l3_lattices @ sk__75 )
    | ~ ( v1_xboole_0 @ sk__76 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl573,zip_derived_cl502]) ).

thf(zip_derived_cl569,plain,
    ~ ( v3_struct_0 @ sk__75 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl570,plain,
    v10_lattices @ sk__75,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl571,plain,
    l3_lattices @ sk__75,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl5707,plain,
    ~ ( v1_xboole_0 @ sk__76 ),
    inference(demod,[status(thm)],[zip_derived_cl5706,zip_derived_cl569,zip_derived_cl570,zip_derived_cl571]) ).

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

thf(zip_derived_cl15,plain,
    ! [X0: $i] :
      ( ( v1_xboole_0 @ X0 )
      | ( X0 != k1_xboole_0 ) ),
    inference(cnf,[status(esa)],[d5_xboole_0]) ).

thf(zip_derived_cl5709,plain,
    sk__76 != k1_xboole_0,
    inference('sup+',[status(thm)],[zip_derived_cl5707,zip_derived_cl15]) ).

thf(zip_derived_cl6820,plain,
    ~ ( m1_subset_1 @ sk__76 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ sk__75 ) ) ),
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl6819,zip_derived_cl5709]) ).

thf(zip_derived_cl573_001,plain,
    m2_filter_2 @ sk__76 @ sk__75,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl501,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_cl6248,plain,
    ( ( v3_struct_0 @ sk__75 )
    | ~ ( v10_lattices @ sk__75 )
    | ~ ( l3_lattices @ sk__75 )
    | ( m2_lattice4 @ sk__76 @ sk__75 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl573,zip_derived_cl501]) ).

thf(zip_derived_cl569_002,plain,
    ~ ( v3_struct_0 @ sk__75 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl570_003,plain,
    v10_lattices @ sk__75,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl571_004,plain,
    l3_lattices @ sk__75,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl6249,plain,
    m2_lattice4 @ sk__76 @ sk__75,
    inference(demod,[status(thm)],[zip_derived_cl6248,zip_derived_cl569,zip_derived_cl570,zip_derived_cl571]) ).

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_cl485,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_cl7247,plain,
    ( ( v3_struct_0 @ sk__75 )
    | ~ ( v10_lattices @ sk__75 )
    | ~ ( l3_lattices @ sk__75 )
    | ( m1_subset_1 @ sk__76 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ sk__75 ) ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl6249,zip_derived_cl485]) ).

thf(zip_derived_cl569_005,plain,
    ~ ( v3_struct_0 @ sk__75 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl570_006,plain,
    v10_lattices @ sk__75,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl571_007,plain,
    l3_lattices @ sk__75,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl7252,plain,
    m1_subset_1 @ sk__76 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ sk__75 ) ),
    inference(demod,[status(thm)],[zip_derived_cl7247,zip_derived_cl569,zip_derived_cl570,zip_derived_cl571]) ).

thf(zip_derived_cl7258,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl6820,zip_derived_cl7252]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : LAT300+3 : TPTP v8.1.2. Released v3.4.0.
% 0.07/0.13  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.n4CiXsX7Au true
% 0.14/0.34  % Computer : n024.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 : Thu Aug 24 06:47:26 EDT 2023
% 0.20/0.34  % CPUTime  : 
% 0.20/0.34  % Running portfolio for 300 s
% 0.20/0.34  % File         : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.34  % Number of cores: 8
% 0.20/0.34  % Python version: Python 3.6.8
% 0.20/0.34  % 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
% 0.60/0.69  % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.60/0.69  % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.60/0.71  % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.60/0.71  % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.60/0.72  % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.60/0.73  % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.60/0.74  % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 21.93/3.77  % Solved by fo/fo3_bce.sh.
% 21.93/3.77  % BCE start: 574
% 21.93/3.77  % BCE eliminated: 84
% 21.93/3.77  % PE start: 490
% 21.93/3.77  logic: eq
% 21.93/3.77  % PE eliminated: -6
% 21.93/3.77  % done 680 iterations in 3.056s
% 21.93/3.77  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 21.93/3.77  % SZS output start Refutation
% See solution above
% 21.93/3.77  
% 21.93/3.77  
% 21.93/3.77  % Terminating...
% 21.93/3.85  % Runner terminated.
% 21.93/3.86  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------