TSTP Solution File: TOP025+1 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : TOP025+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.5rZFGahR86 true

% Computer : n016.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 06:03:46 EDT 2023

% Result   : Theorem 1.32s 0.85s
% Output   : Refutation 1.32s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :   19
% Syntax   : Number of formulae    :   54 (  23 unt;  14 typ;   0 def)
%            Number of atoms       :  110 (  24 equ;   0 cnn)
%            Maximal formula atoms :    8 (   2 avg)
%            Number of connectives :  327 (  48   ~;  40   |;  15   &; 209   @)
%                                         (   2 <=>;  13  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   12 (   5 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   19 (  19   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   16 (  14 usr;   3 con; 0-2 aty)
%            Number of variables   :   22 (   0   ^;  22   !;   0   ?;  22   :)

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

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

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

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

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

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

thf(v4_pre_topc_type,type,
    v4_pre_topc: $i > $i > $o ).

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

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

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

thf(v1_tex_2_type,type,
    v1_tex_2: $i > $i > $o ).

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

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

thf(v1_tsp_1_type,type,
    v1_tsp_1: $i > $i > $o ).

thf(t3_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 ) ) )
         => ~ ( ( ( v3_pre_topc @ B @ A )
                | ( v4_pre_topc @ B @ A ) )
              & ( v1_tsp_2 @ B @ A )
              & ( v1_tex_2 @ B @ ( k1_zfmisc_1 @ ( u1_struct_0 @ A ) ) ) ) ) ) ).

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 ) ) )
           => ~ ( ( ( v3_pre_topc @ B @ A )
                  | ( v4_pre_topc @ B @ A ) )
                & ( v1_tsp_2 @ B @ A )
                & ( v1_tex_2 @ B @ ( k1_zfmisc_1 @ ( u1_struct_0 @ A ) ) ) ) ) ),
    inference('cnf.neg',[status(esa)],[t3_tsp_2]) ).

thf(zip_derived_cl4,plain,
    v1_tsp_2 @ sk__1 @ sk_,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(d5_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 )
          <=> ( ( v1_tsp_1 @ B @ A )
              & ( ( k3_tex_4 @ A @ B )
                = ( u1_struct_0 @ A ) ) ) ) ) ) ).

thf(zip_derived_cl65,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( m1_subset_1 @ X0 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ X1 ) ) )
      | ~ ( v1_tsp_2 @ X0 @ X1 )
      | ( ( k3_tex_4 @ X1 @ X0 )
        = ( u1_struct_0 @ X1 ) )
      | ~ ( l1_pre_topc @ X1 )
      | ~ ( v2_pre_topc @ X1 )
      | ( v3_struct_0 @ X1 ) ),
    inference(cnf,[status(esa)],[d5_tsp_2]) ).

thf(zip_derived_cl686,plain,
    ( ( v3_struct_0 @ sk_ )
    | ~ ( v2_pre_topc @ sk_ )
    | ~ ( l1_pre_topc @ sk_ )
    | ( ( k3_tex_4 @ sk_ @ sk__1 )
      = ( u1_struct_0 @ sk_ ) )
    | ~ ( m1_subset_1 @ sk__1 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ sk_ ) ) ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl4,zip_derived_cl65]) ).

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

thf(zip_derived_cl1,plain,
    v2_pre_topc @ sk_,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl2,plain,
    l1_pre_topc @ sk_,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl6,plain,
    m1_subset_1 @ sk__1 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ sk_ ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl1105,plain,
    ( ( k3_tex_4 @ sk_ @ sk__1 )
    = ( u1_struct_0 @ sk_ ) ),
    inference(demod,[status(thm)],[zip_derived_cl686,zip_derived_cl0,zip_derived_cl1,zip_derived_cl2,zip_derived_cl6]) ).

thf(zip_derived_cl5,plain,
    ( ( v3_pre_topc @ sk__1 @ sk_ )
    | ( v4_pre_topc @ sk__1 @ sk_ ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(t62_tex_4,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 ) ) )
         => ( ( v4_pre_topc @ B @ A )
           => ( ( k3_tex_4 @ A @ B )
              = B ) ) ) ) ).

thf(zip_derived_cl142,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( m1_subset_1 @ X0 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ X1 ) ) )
      | ( ( k3_tex_4 @ X1 @ X0 )
        = X0 )
      | ~ ( v4_pre_topc @ X0 @ X1 )
      | ~ ( l1_pre_topc @ X1 )
      | ~ ( v2_pre_topc @ X1 )
      | ( v3_struct_0 @ X1 ) ),
    inference(cnf,[status(esa)],[t62_tex_4]) ).

thf(zip_derived_cl706,plain,
    ( ( v3_pre_topc @ sk__1 @ sk_ )
    | ( v3_struct_0 @ sk_ )
    | ~ ( v2_pre_topc @ sk_ )
    | ~ ( l1_pre_topc @ sk_ )
    | ( ( k3_tex_4 @ sk_ @ sk__1 )
      = sk__1 )
    | ~ ( m1_subset_1 @ sk__1 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ sk_ ) ) ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl5,zip_derived_cl142]) ).

thf(zip_derived_cl1105_001,plain,
    ( ( k3_tex_4 @ sk_ @ sk__1 )
    = ( u1_struct_0 @ sk_ ) ),
    inference(demod,[status(thm)],[zip_derived_cl686,zip_derived_cl0,zip_derived_cl1,zip_derived_cl2,zip_derived_cl6]) ).

thf(t58_tex_4,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 ) ) )
         => ( ( v3_pre_topc @ B @ A )
           => ( ( k3_tex_4 @ A @ B )
              = B ) ) ) ) ).

thf(zip_derived_cl138,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( m1_subset_1 @ X0 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ X1 ) ) )
      | ( ( k3_tex_4 @ X1 @ X0 )
        = X0 )
      | ~ ( v3_pre_topc @ X0 @ X1 )
      | ~ ( l1_pre_topc @ X1 )
      | ~ ( v2_pre_topc @ X1 )
      | ( v3_struct_0 @ X1 ) ),
    inference(cnf,[status(esa)],[t58_tex_4]) ).

thf(zip_derived_cl1106,plain,
    ( ( ( u1_struct_0 @ sk_ )
      = sk__1 )
    | ( v3_struct_0 @ sk_ )
    | ~ ( v2_pre_topc @ sk_ )
    | ~ ( l1_pre_topc @ sk_ )
    | ~ ( v3_pre_topc @ sk__1 @ sk_ )
    | ~ ( m1_subset_1 @ sk__1 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ sk_ ) ) ) ),
    inference('sup+',[status(thm)],[zip_derived_cl1105,zip_derived_cl138]) ).

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

thf(zip_derived_cl1_003,plain,
    v2_pre_topc @ sk_,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl2_004,plain,
    l1_pre_topc @ sk_,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl6_005,plain,
    m1_subset_1 @ sk__1 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ sk_ ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl1108,plain,
    ( ( ( u1_struct_0 @ sk_ )
      = sk__1 )
    | ~ ( v3_pre_topc @ sk__1 @ sk_ ) ),
    inference(demod,[status(thm)],[zip_derived_cl1106,zip_derived_cl0,zip_derived_cl1,zip_derived_cl2,zip_derived_cl6]) ).

thf(zip_derived_cl6_006,plain,
    m1_subset_1 @ sk__1 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ sk_ ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl3,plain,
    v1_tex_2 @ sk__1 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ sk_ ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(t5_tex_2,axiom,
    ! [A: $i,B: $i] :
      ( ( m1_subset_1 @ B @ ( k1_zfmisc_1 @ A ) )
     => ( ( v1_tex_2 @ B @ ( k1_zfmisc_1 @ A ) )
      <=> ( B != A ) ) ) ).

thf(zip_derived_cl141,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( v1_tex_2 @ X0 @ ( k1_zfmisc_1 @ X1 ) )
      | ( X0 != X1 )
      | ~ ( m1_subset_1 @ X0 @ ( k1_zfmisc_1 @ X1 ) ) ),
    inference(cnf,[status(esa)],[t5_tex_2]) ).

thf(zip_derived_cl691,plain,
    ! [X0: $i,X1: $i] :
      ( ( sk__1 != X1 )
      | ( ( k1_zfmisc_1 @ ( u1_struct_0 @ sk_ ) )
       != ( k1_zfmisc_1 @ X0 ) )
      | ~ ( m1_subset_1 @ X1 @ ( k1_zfmisc_1 @ X0 ) )
      | ( X1 != X0 ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl3,zip_derived_cl141]) ).

thf(zip_derived_cl809,plain,
    ( ( sk__1
     != ( u1_struct_0 @ sk_ ) )
    | ( ( k1_zfmisc_1 @ ( u1_struct_0 @ sk_ ) )
     != ( k1_zfmisc_1 @ ( u1_struct_0 @ sk_ ) ) )
    | ( sk__1 != sk__1 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl6,zip_derived_cl691]) ).

thf(zip_derived_cl812,plain,
    ( sk__1
   != ( u1_struct_0 @ sk_ ) ),
    inference(simplify,[status(thm)],[zip_derived_cl809]) ).

thf(zip_derived_cl1109,plain,
    ~ ( v3_pre_topc @ sk__1 @ sk_ ),
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl1108,zip_derived_cl812]) ).

thf(zip_derived_cl0_007,plain,
    ~ ( v3_struct_0 @ sk_ ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl1_008,plain,
    v2_pre_topc @ sk_,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl2_009,plain,
    l1_pre_topc @ sk_,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl6_010,plain,
    m1_subset_1 @ sk__1 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ sk_ ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl1123,plain,
    ( ( k3_tex_4 @ sk_ @ sk__1 )
    = sk__1 ),
    inference(demod,[status(thm)],[zip_derived_cl706,zip_derived_cl1109,zip_derived_cl0,zip_derived_cl1,zip_derived_cl2,zip_derived_cl6]) ).

thf(zip_derived_cl1124,plain,
    ( sk__1
    = ( u1_struct_0 @ sk_ ) ),
    inference(demod,[status(thm)],[zip_derived_cl1105,zip_derived_cl1123]) ).

thf(zip_derived_cl812_011,plain,
    ( sk__1
   != ( u1_struct_0 @ sk_ ) ),
    inference(simplify,[status(thm)],[zip_derived_cl809]) ).

thf(zip_derived_cl1125,plain,
    $false,
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl1124,zip_derived_cl812]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : TOP025+1 : TPTP v8.1.2. Released v3.4.0.
% 0.12/0.13  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.5rZFGahR86 true
% 0.13/0.34  % Computer : n016.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 : Sat Aug 26 23:29:12 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
% 0.13/0.35  % Number of cores: 8
% 0.13/0.35  % Python version: Python 3.6.8
% 0.13/0.35  % Running in FO mode
% 0.20/0.66  % Total configuration time : 435
% 0.20/0.66  % Estimated wc time : 1092
% 0.20/0.66  % Estimated cpu time (7 cpus) : 156.0
% 0.20/0.71  % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.20/0.73  % /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
% 0.71/0.77  % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.71/0.77  % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.71/0.77  % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.71/0.77  % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 1.32/0.85  % Solved by fo/fo3_bce.sh.
% 1.32/0.85  % BCE start: 146
% 1.32/0.85  % BCE eliminated: 64
% 1.32/0.85  % PE start: 82
% 1.32/0.85  logic: eq
% 1.32/0.85  % PE eliminated: -10
% 1.32/0.85  % done 181 iterations in 0.096s
% 1.32/0.85  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 1.32/0.85  % SZS output start Refutation
% See solution above
% 1.32/0.85  
% 1.32/0.85  
% 1.32/0.85  % Terminating...
% 1.71/0.97  % Runner terminated.
% 1.71/0.98  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------