TSTP Solution File: LAT292+1 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : LAT292+1 : 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.GxiGaUhZTQ true

% Computer : n021.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 06:46:37 EDT 2023

% Result   : Theorem 1.35s 0.89s
% Output   : Refutation 1.35s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :   18
% Syntax   : Number of formulae    :   61 (  30 unt;  13 typ;   0 def)
%            Number of atoms       :  145 (   4 equ;   0 cnn)
%            Maximal formula atoms :    9 (   3 avg)
%            Number of connectives :  355 (  69   ~;  57   |;  34   &; 189   @)
%                                         (   0 <=>;   6  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   13 (   5 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   13 (  13   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   15 (  13 usr;   2 con; 0-2 aty)
%            Number of variables   :   15 (   0   ^;  13   !;   2   ?;  15   :)

% Comments : 
%------------------------------------------------------------------------------
thf(v3_realset2_type,type,
    v3_realset2: $i > $o ).

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

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

thf(l1_pre_topc_type,type,
    l1_pre_topc: $i > $o ).

thf(k12_lopclset_type,type,
    k12_lopclset: $i > $i ).

thf(v2_pre_topc_type,type,
    v2_pre_topc: $i > $o ).

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

thf(v1_pre_topc_type,type,
    v1_pre_topc: $i > $o ).

thf(sk__16_type,type,
    sk__16: $i ).

thf(r1_filter_1_type,type,
    r1_filter_1: $i > $i > $o ).

thf(v17_lattices_type,type,
    v17_lattices: $i > $o ).

thf(k11_lopclset_type,type,
    k11_lopclset: $i > $i ).

thf(k6_lopclset_type,type,
    k6_lopclset: $i > $i ).

thf(dt_k11_lopclset,axiom,
    ! [A: $i] :
      ( ( ~ ( v3_struct_0 @ A )
        & ( v10_lattices @ A )
        & ( v17_lattices @ A )
        & ~ ( v3_realset2 @ A )
        & ( l3_lattices @ A ) )
     => ( ( v1_pre_topc @ ( k11_lopclset @ A ) )
        & ( v2_pre_topc @ ( k11_lopclset @ A ) )
        & ( l1_pre_topc @ ( k11_lopclset @ A ) ) ) ) ).

thf(zip_derived_cl51,plain,
    ! [X0: $i] :
      ( ( v2_pre_topc @ ( k11_lopclset @ X0 ) )
      | ~ ( l3_lattices @ X0 )
      | ( v3_realset2 @ X0 )
      | ~ ( v17_lattices @ X0 )
      | ~ ( v10_lattices @ X0 )
      | ( v3_struct_0 @ X0 ) ),
    inference(cnf,[status(esa)],[dt_k11_lopclset]) ).

thf(t44_lopclset,conjecture,
    ! [A: $i] :
      ( ( ~ ( v3_struct_0 @ A )
        & ( v10_lattices @ A )
        & ( v17_lattices @ A )
        & ~ ( v3_realset2 @ A )
        & ( l3_lattices @ A ) )
     => ? [B: $i] :
          ( ( r1_filter_1 @ A @ ( k6_lopclset @ B ) )
          & ( l1_pre_topc @ B )
          & ( v2_pre_topc @ B )
          & ~ ( v3_struct_0 @ B ) ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ! [A: $i] :
        ( ( ~ ( v3_struct_0 @ A )
          & ( v10_lattices @ A )
          & ( v17_lattices @ A )
          & ~ ( v3_realset2 @ A )
          & ( l3_lattices @ A ) )
       => ? [B: $i] :
            ( ( r1_filter_1 @ A @ ( k6_lopclset @ B ) )
            & ( l1_pre_topc @ B )
            & ( v2_pre_topc @ B )
            & ~ ( v3_struct_0 @ B ) ) ),
    inference('cnf.neg',[status(esa)],[t44_lopclset]) ).

thf(zip_derived_cl195,plain,
    ! [X0: $i] :
      ( ~ ( r1_filter_1 @ sk__16 @ ( k6_lopclset @ X0 ) )
      | ~ ( l1_pre_topc @ X0 )
      | ~ ( v2_pre_topc @ X0 )
      | ( v3_struct_0 @ X0 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl1039,plain,
    ! [X0: $i] :
      ( ( v3_struct_0 @ X0 )
      | ~ ( v10_lattices @ X0 )
      | ~ ( v17_lattices @ X0 )
      | ( v3_realset2 @ X0 )
      | ~ ( l3_lattices @ X0 )
      | ( v3_struct_0 @ ( k11_lopclset @ X0 ) )
      | ~ ( l1_pre_topc @ ( k11_lopclset @ X0 ) )
      | ~ ( r1_filter_1 @ sk__16 @ ( k6_lopclset @ ( k11_lopclset @ X0 ) ) ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl51,zip_derived_cl195]) ).

thf(zip_derived_cl193,plain,
    ~ ( v3_realset2 @ sk__16 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl1421,plain,
    ( ~ ( r1_filter_1 @ sk__16 @ ( k6_lopclset @ ( k11_lopclset @ sk__16 ) ) )
    | ~ ( l1_pre_topc @ ( k11_lopclset @ sk__16 ) )
    | ( v3_struct_0 @ ( k11_lopclset @ sk__16 ) )
    | ~ ( l3_lattices @ sk__16 )
    | ~ ( v17_lattices @ sk__16 )
    | ~ ( v10_lattices @ sk__16 )
    | ( v3_struct_0 @ sk__16 ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl1039,zip_derived_cl193]) ).

thf(d9_lopclset,axiom,
    ! [A: $i] :
      ( ( ~ ( v3_struct_0 @ A )
        & ( v10_lattices @ A )
        & ( v17_lattices @ A )
        & ~ ( v3_realset2 @ A )
        & ( l3_lattices @ A ) )
     => ( ( k12_lopclset @ A )
        = ( k6_lopclset @ ( k11_lopclset @ A ) ) ) ) ).

thf(zip_derived_cl45,plain,
    ! [X0: $i] :
      ( ( ( k12_lopclset @ X0 )
        = ( k6_lopclset @ ( k11_lopclset @ X0 ) ) )
      | ~ ( l3_lattices @ X0 )
      | ( v3_realset2 @ X0 )
      | ~ ( v17_lattices @ X0 )
      | ~ ( v10_lattices @ X0 )
      | ( v3_struct_0 @ X0 ) ),
    inference(cnf,[status(esa)],[d9_lopclset]) ).

thf(zip_derived_cl193_001,plain,
    ~ ( v3_realset2 @ sk__16 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl1393,plain,
    ( ( v3_struct_0 @ sk__16 )
    | ~ ( v10_lattices @ sk__16 )
    | ~ ( v17_lattices @ sk__16 )
    | ~ ( l3_lattices @ sk__16 )
    | ( ( k12_lopclset @ sk__16 )
      = ( k6_lopclset @ ( k11_lopclset @ sk__16 ) ) ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl45,zip_derived_cl193]) ).

thf(zip_derived_cl190,plain,
    ~ ( v3_struct_0 @ sk__16 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl191,plain,
    v10_lattices @ sk__16,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl192,plain,
    v17_lattices @ sk__16,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl194,plain,
    l3_lattices @ sk__16,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl3432,plain,
    ( ( k12_lopclset @ sk__16 )
    = ( k6_lopclset @ ( k11_lopclset @ sk__16 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl1393,zip_derived_cl190,zip_derived_cl191,zip_derived_cl192,zip_derived_cl194]) ).

thf(t43_lopclset,axiom,
    ! [A: $i] :
      ( ( ~ ( v3_struct_0 @ A )
        & ( v10_lattices @ A )
        & ( v17_lattices @ A )
        & ~ ( v3_realset2 @ A )
        & ( l3_lattices @ A ) )
     => ( r1_filter_1 @ A @ ( k12_lopclset @ A ) ) ) ).

thf(zip_derived_cl185,plain,
    ! [X0: $i] :
      ( ( r1_filter_1 @ X0 @ ( k12_lopclset @ X0 ) )
      | ~ ( l3_lattices @ X0 )
      | ( v3_realset2 @ X0 )
      | ~ ( v17_lattices @ X0 )
      | ~ ( v10_lattices @ X0 )
      | ( v3_struct_0 @ X0 ) ),
    inference(cnf,[status(esa)],[t43_lopclset]) ).

thf(zip_derived_cl193_002,plain,
    ~ ( v3_realset2 @ sk__16 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl1405,plain,
    ( ( v3_struct_0 @ sk__16 )
    | ~ ( v10_lattices @ sk__16 )
    | ~ ( v17_lattices @ sk__16 )
    | ~ ( l3_lattices @ sk__16 )
    | ( r1_filter_1 @ sk__16 @ ( k12_lopclset @ sk__16 ) ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl185,zip_derived_cl193]) ).

thf(zip_derived_cl190_003,plain,
    ~ ( v3_struct_0 @ sk__16 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl191_004,plain,
    v10_lattices @ sk__16,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl192_005,plain,
    v17_lattices @ sk__16,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl194_006,plain,
    l3_lattices @ sk__16,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl3462,plain,
    r1_filter_1 @ sk__16 @ ( k12_lopclset @ sk__16 ),
    inference(demod,[status(thm)],[zip_derived_cl1405,zip_derived_cl190,zip_derived_cl191,zip_derived_cl192,zip_derived_cl194]) ).

thf(zip_derived_cl52,plain,
    ! [X0: $i] :
      ( ( l1_pre_topc @ ( k11_lopclset @ X0 ) )
      | ~ ( l3_lattices @ X0 )
      | ( v3_realset2 @ X0 )
      | ~ ( v17_lattices @ X0 )
      | ~ ( v10_lattices @ X0 )
      | ( v3_struct_0 @ X0 ) ),
    inference(cnf,[status(esa)],[dt_k11_lopclset]) ).

thf(zip_derived_cl193_007,plain,
    ~ ( v3_realset2 @ sk__16 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl1395,plain,
    ( ( v3_struct_0 @ sk__16 )
    | ~ ( v10_lattices @ sk__16 )
    | ~ ( v17_lattices @ sk__16 )
    | ~ ( l3_lattices @ sk__16 )
    | ( l1_pre_topc @ ( k11_lopclset @ sk__16 ) ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl52,zip_derived_cl193]) ).

thf(zip_derived_cl190_008,plain,
    ~ ( v3_struct_0 @ sk__16 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl191_009,plain,
    v10_lattices @ sk__16,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl192_010,plain,
    v17_lattices @ sk__16,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl194_011,plain,
    l3_lattices @ sk__16,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl3415,plain,
    l1_pre_topc @ ( k11_lopclset @ sk__16 ),
    inference(demod,[status(thm)],[zip_derived_cl1395,zip_derived_cl190,zip_derived_cl191,zip_derived_cl192,zip_derived_cl194]) ).

thf(fc4_lopclset,axiom,
    ! [A: $i] :
      ( ( ~ ( v3_struct_0 @ A )
        & ( v10_lattices @ A )
        & ( v17_lattices @ A )
        & ~ ( v3_realset2 @ A )
        & ( l3_lattices @ A ) )
     => ( ~ ( v3_struct_0 @ ( k11_lopclset @ A ) )
        & ( v1_pre_topc @ ( k11_lopclset @ A ) )
        & ( v2_pre_topc @ ( k11_lopclset @ A ) ) ) ) ).

thf(zip_derived_cl77,plain,
    ! [X0: $i] :
      ( ~ ( v3_struct_0 @ ( k11_lopclset @ X0 ) )
      | ~ ( l3_lattices @ X0 )
      | ( v3_realset2 @ X0 )
      | ~ ( v17_lattices @ X0 )
      | ~ ( v10_lattices @ X0 )
      | ( v3_struct_0 @ X0 ) ),
    inference(cnf,[status(esa)],[fc4_lopclset]) ).

thf(zip_derived_cl193_012,plain,
    ~ ( v3_realset2 @ sk__16 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl1403,plain,
    ( ( v3_struct_0 @ sk__16 )
    | ~ ( v10_lattices @ sk__16 )
    | ~ ( v17_lattices @ sk__16 )
    | ~ ( l3_lattices @ sk__16 )
    | ~ ( v3_struct_0 @ ( k11_lopclset @ sk__16 ) ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl77,zip_derived_cl193]) ).

thf(zip_derived_cl190_013,plain,
    ~ ( v3_struct_0 @ sk__16 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl191_014,plain,
    v10_lattices @ sk__16,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl192_015,plain,
    v17_lattices @ sk__16,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl194_016,plain,
    l3_lattices @ sk__16,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl3349,plain,
    ~ ( v3_struct_0 @ ( k11_lopclset @ sk__16 ) ),
    inference(demod,[status(thm)],[zip_derived_cl1403,zip_derived_cl190,zip_derived_cl191,zip_derived_cl192,zip_derived_cl194]) ).

thf(zip_derived_cl194_017,plain,
    l3_lattices @ sk__16,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl192_018,plain,
    v17_lattices @ sk__16,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl191_019,plain,
    v10_lattices @ sk__16,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl190_020,plain,
    ~ ( v3_struct_0 @ sk__16 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl4395,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl1421,zip_derived_cl3432,zip_derived_cl3462,zip_derived_cl3415,zip_derived_cl3349,zip_derived_cl194,zip_derived_cl192,zip_derived_cl191,zip_derived_cl190]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : LAT292+1 : TPTP v8.1.2. Released v3.4.0.
% 0.00/0.13  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.GxiGaUhZTQ true
% 0.13/0.34  % Computer : n021.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 : Thu Aug 24 07:24:39 EDT 2023
% 0.13/0.34  % CPUTime  : 
% 0.13/0.34  % Running portfolio for 300 s
% 0.13/0.34  % File         : /export/starexec/sandbox/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
% 0.21/0.64  % Total configuration time : 435
% 0.21/0.64  % Estimated wc time : 1092
% 0.21/0.64  % Estimated cpu time (7 cpus) : 156.0
% 0.21/0.69  % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.21/0.71  % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.21/0.71  % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.21/0.73  % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.21/0.74  % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.21/0.74  % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.21/0.77  % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 0.88/0.82  % /export/starexec/sandbox/solver/bin/fo/fo1_lcnf.sh running for 50s
% 1.35/0.89  % Solved by fo/fo3_bce.sh.
% 1.35/0.89  % BCE start: 196
% 1.35/0.89  % BCE eliminated: 28
% 1.35/0.89  % PE start: 168
% 1.35/0.89  logic: eq
% 1.35/0.89  % PE eliminated: -371
% 1.35/0.89  % done 492 iterations in 0.161s
% 1.35/0.89  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 1.35/0.89  % SZS output start Refutation
% See solution above
% 1.35/0.89  
% 1.35/0.89  
% 1.35/0.89  % Terminating...
% 1.64/0.96  % Runner terminated.
% 1.64/0.97  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------