TSTP Solution File: TOP027+1 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : TOP027+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.XtwIWlbheO true

% Computer : n001.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 : Fri Sep  1 06:03:48 EDT 2023

% Result   : Theorem 1.26s 0.97s
% Output   : Refutation 1.26s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   12
%            Number of leaves      :   18
% Syntax   : Number of formulae    :   43 (  13 unt;  14 typ;   0 def)
%            Number of atoms       :   91 (  11 equ;   0 cnn)
%            Maximal formula atoms :    8 (   3 avg)
%            Number of connectives :  383 (  47   ~;  38   |;   9   &; 274   @)
%                                         (   0 <=>;  15  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   13 (   7 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   18 (  18   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   16 (  14 usr;   4 con; 0-3 aty)
%            Number of variables   :   24 (   0   ^;  24   !;   0   ?;  24   :)

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

thf(v3_pre_topc_type,type,
    v3_pre_topc: $i > $i > $o ).

thf(k1_tops_1_type,type,
    k1_tops_1: $i > $i > $i ).

thf(sk__17_type,type,
    sk__17: $i ).

thf(k5_subset_1_type,type,
    k5_subset_1: $i > $i > $i > $i ).

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

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

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

thf(k3_tex_4_type,type,
    k3_tex_4: $i > $i > $i ).

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

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

thf(v1_tsp_2_type,type,
    v1_tsp_2: $i > $i > $o ).

thf(sk__15_type,type,
    sk__15: $i ).

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

thf(dt_k1_tops_1,axiom,
    ! [A: $i,B: $i] :
      ( ( ( l1_pre_topc @ A )
        & ( m1_subset_1 @ B @ ( k1_zfmisc_1 @ ( u1_struct_0 @ A ) ) ) )
     => ( m1_subset_1 @ ( k1_tops_1 @ A @ B ) @ ( k1_zfmisc_1 @ ( u1_struct_0 @ A ) ) ) ) ).

thf(zip_derived_cl133,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( l1_pre_topc @ X0 )
      | ~ ( m1_subset_1 @ X1 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ X0 ) ) )
      | ( m1_subset_1 @ ( k1_tops_1 @ X0 @ X1 ) @ ( k1_zfmisc_1 @ ( u1_struct_0 @ X0 ) ) ) ),
    inference(cnf,[status(esa)],[dt_k1_tops_1]) ).

thf(fc6_tops_1,axiom,
    ! [A: $i,B: $i] :
      ( ( ( v2_pre_topc @ A )
        & ( l1_pre_topc @ A )
        & ( m1_subset_1 @ B @ ( k1_zfmisc_1 @ ( u1_struct_0 @ A ) ) ) )
     => ( v3_pre_topc @ ( k1_tops_1 @ A @ B ) @ A ) ) ).

thf(zip_derived_cl138,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( l1_pre_topc @ X0 )
      | ~ ( v2_pre_topc @ X0 )
      | ~ ( m1_subset_1 @ X1 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ X0 ) ) )
      | ( v3_pre_topc @ ( k1_tops_1 @ X0 @ X1 ) @ X0 ) ),
    inference(cnf,[status(esa)],[fc6_tops_1]) ).

thf(t8_tsp_2,conjecture,
    ! [A: $i] :
      ( ( ~ ( v3_struct_0 @ A )
        & ( v2_pre_topc @ A )
        & ( l1_pre_topc @ A ) )
     => ! [B: $i] :
          ( ( m1_subset_1 @ B @ ( k1_zfmisc_1 @ ( u1_struct_0 @ A ) ) )
         => ( ( v1_tsp_2 @ B @ A )
           => ! [C: $i] :
                ( ( m1_subset_1 @ C @ ( k1_zfmisc_1 @ ( u1_struct_0 @ A ) ) )
               => ( ( k1_tops_1 @ A @ C )
                  = ( k3_tex_4 @ A @ ( k5_subset_1 @ ( u1_struct_0 @ A ) @ B @ ( k1_tops_1 @ A @ C ) ) ) ) ) ) ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ! [A: $i] :
        ( ( ~ ( v3_struct_0 @ A )
          & ( v2_pre_topc @ A )
          & ( l1_pre_topc @ A ) )
       => ! [B: $i] :
            ( ( m1_subset_1 @ B @ ( k1_zfmisc_1 @ ( u1_struct_0 @ A ) ) )
           => ( ( v1_tsp_2 @ B @ A )
             => ! [C: $i] :
                  ( ( m1_subset_1 @ C @ ( k1_zfmisc_1 @ ( u1_struct_0 @ A ) ) )
                 => ( ( k1_tops_1 @ A @ C )
                    = ( k3_tex_4 @ A @ ( k5_subset_1 @ ( u1_struct_0 @ A ) @ B @ ( k1_tops_1 @ A @ C ) ) ) ) ) ) ) ),
    inference('cnf.neg',[status(esa)],[t8_tsp_2]) ).

thf(zip_derived_cl145,plain,
    v1_tsp_2 @ sk__16 @ sk__15,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(t6_tsp_2,axiom,
    ! [A: $i] :
      ( ( ~ ( v3_struct_0 @ A )
        & ( v2_pre_topc @ A )
        & ( l1_pre_topc @ A ) )
     => ! [B: $i] :
          ( ( m1_subset_1 @ B @ ( k1_zfmisc_1 @ ( u1_struct_0 @ A ) ) )
         => ( ( v1_tsp_2 @ B @ A )
           => ! [C: $i] :
                ( ( m1_subset_1 @ C @ ( k1_zfmisc_1 @ ( u1_struct_0 @ A ) ) )
               => ( ( v3_pre_topc @ C @ A )
                 => ( C
                    = ( k3_tex_4 @ A @ ( k5_subset_1 @ ( u1_struct_0 @ A ) @ B @ C ) ) ) ) ) ) ) ) ).

thf(zip_derived_cl141,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( m1_subset_1 @ X0 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ X1 ) ) )
      | ~ ( v3_pre_topc @ X2 @ X1 )
      | ( X2
        = ( k3_tex_4 @ X1 @ ( k5_subset_1 @ ( u1_struct_0 @ X1 ) @ X0 @ X2 ) ) )
      | ~ ( m1_subset_1 @ X2 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ X1 ) ) )
      | ~ ( v1_tsp_2 @ X0 @ X1 )
      | ~ ( l1_pre_topc @ X1 )
      | ~ ( v2_pre_topc @ X1 )
      | ( v3_struct_0 @ X1 ) ),
    inference(cnf,[status(esa)],[t6_tsp_2]) ).

thf(zip_derived_cl967,plain,
    ! [X0: $i] :
      ( ( v3_struct_0 @ sk__15 )
      | ~ ( v2_pre_topc @ sk__15 )
      | ~ ( l1_pre_topc @ sk__15 )
      | ~ ( m1_subset_1 @ X0 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ sk__15 ) ) )
      | ( X0
        = ( k3_tex_4 @ sk__15 @ ( k5_subset_1 @ ( u1_struct_0 @ sk__15 ) @ sk__16 @ X0 ) ) )
      | ~ ( v3_pre_topc @ X0 @ sk__15 )
      | ~ ( m1_subset_1 @ sk__16 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ sk__15 ) ) ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl145,zip_derived_cl141]) ).

thf(zip_derived_cl142,plain,
    ~ ( v3_struct_0 @ sk__15 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl1008,plain,
    ! [X0: $i] :
      ( ( sk__15 != sk__15 )
      | ~ ( m1_subset_1 @ sk__16 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ sk__15 ) ) )
      | ~ ( v3_pre_topc @ X0 @ sk__15 )
      | ( X0
        = ( k3_tex_4 @ sk__15 @ ( k5_subset_1 @ ( u1_struct_0 @ sk__15 ) @ sk__16 @ X0 ) ) )
      | ~ ( m1_subset_1 @ X0 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ sk__15 ) ) )
      | ~ ( l1_pre_topc @ sk__15 )
      | ~ ( v2_pre_topc @ sk__15 ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl967,zip_derived_cl142]) ).

thf(zip_derived_cl2836,plain,
    ! [X0: $i] :
      ( ~ ( v2_pre_topc @ sk__15 )
      | ~ ( l1_pre_topc @ sk__15 )
      | ~ ( m1_subset_1 @ X0 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ sk__15 ) ) )
      | ( X0
        = ( k3_tex_4 @ sk__15 @ ( k5_subset_1 @ ( u1_struct_0 @ sk__15 ) @ sk__16 @ X0 ) ) )
      | ~ ( v3_pre_topc @ X0 @ sk__15 )
      | ~ ( m1_subset_1 @ sk__16 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ sk__15 ) ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl1008]) ).

thf(zip_derived_cl143,plain,
    v2_pre_topc @ sk__15,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl144,plain,
    l1_pre_topc @ sk__15,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl148,plain,
    m1_subset_1 @ sk__16 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ sk__15 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl2837,plain,
    ! [X0: $i] :
      ( ~ ( m1_subset_1 @ X0 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ sk__15 ) ) )
      | ( X0
        = ( k3_tex_4 @ sk__15 @ ( k5_subset_1 @ ( u1_struct_0 @ sk__15 ) @ sk__16 @ X0 ) ) )
      | ~ ( v3_pre_topc @ X0 @ sk__15 ) ),
    inference(demod,[status(thm)],[zip_derived_cl2836,zip_derived_cl143,zip_derived_cl144,zip_derived_cl148]) ).

thf(zip_derived_cl147,plain,
    ( ( k1_tops_1 @ sk__15 @ sk__17 )
   != ( k3_tex_4 @ sk__15 @ ( k5_subset_1 @ ( u1_struct_0 @ sk__15 ) @ sk__16 @ ( k1_tops_1 @ sk__15 @ sk__17 ) ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl2839,plain,
    ( ( ( k1_tops_1 @ sk__15 @ sk__17 )
     != ( k1_tops_1 @ sk__15 @ sk__17 ) )
    | ~ ( v3_pre_topc @ ( k1_tops_1 @ sk__15 @ sk__17 ) @ sk__15 )
    | ~ ( m1_subset_1 @ ( k1_tops_1 @ sk__15 @ sk__17 ) @ ( k1_zfmisc_1 @ ( u1_struct_0 @ sk__15 ) ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl2837,zip_derived_cl147]) ).

thf(zip_derived_cl2851,plain,
    ( ~ ( m1_subset_1 @ ( k1_tops_1 @ sk__15 @ sk__17 ) @ ( k1_zfmisc_1 @ ( u1_struct_0 @ sk__15 ) ) )
    | ~ ( v3_pre_topc @ ( k1_tops_1 @ sk__15 @ sk__17 ) @ sk__15 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl2839]) ).

thf(zip_derived_cl2949,plain,
    ( ~ ( m1_subset_1 @ sk__17 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ sk__15 ) ) )
    | ~ ( v2_pre_topc @ sk__15 )
    | ~ ( l1_pre_topc @ sk__15 )
    | ~ ( m1_subset_1 @ ( k1_tops_1 @ sk__15 @ sk__17 ) @ ( k1_zfmisc_1 @ ( u1_struct_0 @ sk__15 ) ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl138,zip_derived_cl2851]) ).

thf(zip_derived_cl146,plain,
    m1_subset_1 @ sk__17 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ sk__15 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl143_001,plain,
    v2_pre_topc @ sk__15,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl144_002,plain,
    l1_pre_topc @ sk__15,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl2952,plain,
    ~ ( m1_subset_1 @ ( k1_tops_1 @ sk__15 @ sk__17 ) @ ( k1_zfmisc_1 @ ( u1_struct_0 @ sk__15 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl2949,zip_derived_cl146,zip_derived_cl143,zip_derived_cl144]) ).

thf(zip_derived_cl2957,plain,
    ( ~ ( m1_subset_1 @ sk__17 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ sk__15 ) ) )
    | ~ ( l1_pre_topc @ sk__15 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl133,zip_derived_cl2952]) ).

thf(zip_derived_cl146_003,plain,
    m1_subset_1 @ sk__17 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ sk__15 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl144_004,plain,
    l1_pre_topc @ sk__15,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl2958,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl2957,zip_derived_cl146,zip_derived_cl144]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem  : TOP027+1 : TPTP v8.1.2. Released v3.4.0.
% 0.00/0.14  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.XtwIWlbheO true
% 0.14/0.35  % Computer : n001.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit : 300
% 0.14/0.35  % WCLimit  : 300
% 0.14/0.35  % DateTime : Sat Aug 26 23:54:01 EDT 2023
% 0.14/0.35  % CPUTime  : 
% 0.14/0.35  % Running portfolio for 300 s
% 0.14/0.35  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.14/0.35  % Number of cores: 8
% 0.14/0.36  % Python version: Python 3.6.8
% 0.14/0.36  % Running in FO mode
% 0.22/0.59  % Total configuration time : 435
% 0.22/0.59  % Estimated wc time : 1092
% 0.22/0.59  % Estimated cpu time (7 cpus) : 156.0
% 0.22/0.66  % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.22/0.68  % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.22/0.68  % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.22/0.69  % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.22/0.71  % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.22/0.71  % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.22/0.72  % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 1.26/0.97  % Solved by fo/fo3_bce.sh.
% 1.26/0.97  % BCE start: 149
% 1.26/0.97  % BCE eliminated: 0
% 1.26/0.97  % PE start: 149
% 1.26/0.97  logic: eq
% 1.26/0.97  % PE eliminated: -15
% 1.26/0.97  % done 815 iterations in 0.259s
% 1.26/0.97  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 1.26/0.97  % SZS output start Refutation
% See solution above
% 1.26/0.97  
% 1.26/0.97  
% 1.26/0.97  % Terminating...
% 1.96/1.07  % Runner terminated.
% 1.96/1.09  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------