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Zipperpin---2.1.9999.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : TOP024+1 : TPTP v9.2.0. Released v3.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.GZQrU2dmYq true

% Computer : n031.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 Oct  2 05:08:42 PM UTC 2025

% Result   : Theorem 0.52s 0.90s
% Output   : Refutation 0.52s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   11
%            Number of leaves      :    8
% Syntax   : Number of formulae    :   51 (  18 unt;   0 typ;   0 def)
%            Number of atoms       :  128 (  28 equ;   0 cnn)
%            Maximal formula atoms :    7 (   2 avg)
%            Number of connectives :  425 (  57   ~;  50   |;   9   &; 291   @)
%                                         (   2 <=>;  16  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   10 (   5 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   17 (  15 usr;   3 con; 0-2 aty)
%            Number of variables   :   36 (   0   ^;  36   !;   0   ?;  36   :)

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

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(sk__15_type,type,
    sk__15: $i ).

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

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

thf(v1_tops_1_type,type,
    v1_tops_1: $i > $i > $o ).

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

thf(l1_struct_0_type,type,
    l1_struct_0: $i > $o ).

thf(sk__16_type,type,
    sk__16: $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(k2_pre_topc_type,type,
    k2_pre_topc: $i > $i ).

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

thf(k6_pre_topc_type,type,
    k6_pre_topc: $i > $i > $i ).

thf(t2_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 )
           => ( v1_tops_1 @ B @ 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 ) ) )
           => ( ( v1_tsp_2 @ B @ A )
             => ( v1_tops_1 @ B @ A ) ) ) ),
    inference('cnf.neg',[status(esa)],[t2_tsp_2]) ).

thf(zip_derived_cl114,plain,
    v1_tsp_2 @ sk__16 @ sk__15,
    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_cl42,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_cl624,plain,
    ( ( v3_struct_0 @ sk__15 )
    | ~ ( v2_pre_topc @ sk__15 )
    | ~ ( l1_pre_topc @ sk__15 )
    | ( ( k3_tex_4 @ sk__15 @ sk__16 )
      = ( u1_struct_0 @ sk__15 ) )
    | ~ ( m1_subset_1 @ sk__16 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ sk__15 ) ) ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl114,zip_derived_cl42]) ).

thf(zip_derived_cl111,plain,
    ~ ( v3_struct_0 @ sk__15 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl763,plain,
    ( ( sk__15 != sk__15 )
    | ~ ( m1_subset_1 @ sk__16 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ sk__15 ) ) )
    | ( ( k3_tex_4 @ sk__15 @ sk__16 )
      = ( u1_struct_0 @ sk__15 ) )
    | ~ ( l1_pre_topc @ sk__15 )
    | ~ ( v2_pre_topc @ sk__15 ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl624,zip_derived_cl111]) ).

thf(zip_derived_cl959,plain,
    ( ~ ( v2_pre_topc @ sk__15 )
    | ~ ( l1_pre_topc @ sk__15 )
    | ( ( k3_tex_4 @ sk__15 @ sk__16 )
      = ( u1_struct_0 @ sk__15 ) )
    | ~ ( m1_subset_1 @ sk__16 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ sk__15 ) ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl763]) ).

thf(zip_derived_cl112,plain,
    v2_pre_topc @ sk__15,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl113,plain,
    l1_pre_topc @ sk__15,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl116,plain,
    m1_subset_1 @ sk__16 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ sk__15 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl960,plain,
    ( ( k3_tex_4 @ sk__15 @ sk__16 )
    = ( u1_struct_0 @ sk__15 ) ),
    inference(demod,[status(thm)],[zip_derived_cl959,zip_derived_cl112,zip_derived_cl113,zip_derived_cl116]) ).

thf(t64_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 ) ) )
         => ( ( k6_pre_topc @ A @ ( k3_tex_4 @ A @ B ) )
            = ( k6_pre_topc @ A @ B ) ) ) ) ).

thf(zip_derived_cl109,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( m1_subset_1 @ X0 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ X1 ) ) )
      | ( ( k6_pre_topc @ X1 @ ( k3_tex_4 @ X1 @ X0 ) )
        = ( k6_pre_topc @ X1 @ X0 ) )
      | ~ ( l1_pre_topc @ X1 )
      | ~ ( v2_pre_topc @ X1 )
      | ( v3_struct_0 @ X1 ) ),
    inference(cnf,[status(esa)],[t64_tex_4]) ).

thf(zip_derived_cl111_001,plain,
    ~ ( v3_struct_0 @ sk__15 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl757,plain,
    ! [X0: $i] :
      ( ~ ( v2_pre_topc @ sk__15 )
      | ~ ( l1_pre_topc @ sk__15 )
      | ( ( k6_pre_topc @ sk__15 @ ( k3_tex_4 @ sk__15 @ X0 ) )
        = ( k6_pre_topc @ sk__15 @ X0 ) )
      | ~ ( m1_subset_1 @ X0 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ sk__15 ) ) ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl109,zip_derived_cl111]) ).

thf(zip_derived_cl112_002,plain,
    v2_pre_topc @ sk__15,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl113_003,plain,
    l1_pre_topc @ sk__15,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl1131,plain,
    ! [X0: $i] :
      ( ( ( k6_pre_topc @ sk__15 @ ( k3_tex_4 @ sk__15 @ X0 ) )
        = ( k6_pre_topc @ sk__15 @ X0 ) )
      | ~ ( m1_subset_1 @ X0 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ sk__15 ) ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl757,zip_derived_cl112,zip_derived_cl113]) ).

thf(zip_derived_cl1136,plain,
    ( ( ( k6_pre_topc @ sk__15 @ ( u1_struct_0 @ sk__15 ) )
      = ( k6_pre_topc @ sk__15 @ sk__16 ) )
    | ~ ( m1_subset_1 @ sk__16 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ sk__15 ) ) ) ),
    inference('sup+',[status(thm)],[zip_derived_cl960,zip_derived_cl1131]) ).

thf(zip_derived_cl116_004,plain,
    m1_subset_1 @ sk__16 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ sk__15 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl1137,plain,
    ( ( k6_pre_topc @ sk__15 @ ( u1_struct_0 @ sk__15 ) )
    = ( k6_pre_topc @ sk__15 @ sk__16 ) ),
    inference(demod,[status(thm)],[zip_derived_cl1136,zip_derived_cl116]) ).

thf(dt_l1_pre_topc,axiom,
    ! [A: $i] :
      ( ( l1_pre_topc @ A )
     => ( l1_struct_0 @ A ) ) ).

thf(zip_derived_cl47,plain,
    ! [X0: $i] :
      ( ( l1_struct_0 @ X0 )
      | ~ ( l1_pre_topc @ X0 ) ),
    inference(cnf,[status(esa)],[dt_l1_pre_topc]) ).

thf(t12_pre_topc,axiom,
    ! [A: $i] :
      ( ( l1_struct_0 @ A )
     => ( ( k2_pre_topc @ A )
        = ( u1_struct_0 @ A ) ) ) ).

thf(zip_derived_cl106,plain,
    ! [X0: $i] :
      ( ( ( k2_pre_topc @ X0 )
        = ( u1_struct_0 @ X0 ) )
      | ~ ( l1_struct_0 @ X0 ) ),
    inference(cnf,[status(esa)],[t12_pre_topc]) ).

thf(zip_derived_cl636,plain,
    ! [X0: $i] :
      ( ~ ( l1_pre_topc @ X0 )
      | ( ( k2_pre_topc @ X0 )
        = ( u1_struct_0 @ X0 ) ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl47,zip_derived_cl106]) ).

thf(fc9_tops_1,axiom,
    ! [A: $i] :
      ( ( l1_pre_topc @ A )
     => ( v1_tops_1 @ ( k2_pre_topc @ A ) @ A ) ) ).

thf(zip_derived_cl58,plain,
    ! [X0: $i] :
      ( ( v1_tops_1 @ ( k2_pre_topc @ X0 ) @ X0 )
      | ~ ( l1_pre_topc @ X0 ) ),
    inference(cnf,[status(esa)],[fc9_tops_1]) ).

thf(d2_tops_3,axiom,
    ! [A: $i] :
      ( ( l1_pre_topc @ A )
     => ! [B: $i] :
          ( ( m1_subset_1 @ B @ ( k1_zfmisc_1 @ ( u1_struct_0 @ A ) ) )
         => ( ( v1_tops_1 @ B @ A )
          <=> ( ( k6_pre_topc @ A @ B )
              = ( u1_struct_0 @ A ) ) ) ) ) ).

thf(zip_derived_cl39,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( m1_subset_1 @ X0 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ X1 ) ) )
      | ~ ( v1_tops_1 @ X0 @ X1 )
      | ( ( k6_pre_topc @ X1 @ X0 )
        = ( u1_struct_0 @ X1 ) )
      | ~ ( l1_pre_topc @ X1 ) ),
    inference(cnf,[status(esa)],[d2_tops_3]) ).

thf(zip_derived_cl627,plain,
    ! [X0: $i] :
      ( ~ ( l1_pre_topc @ X0 )
      | ~ ( l1_pre_topc @ X0 )
      | ( ( k6_pre_topc @ X0 @ ( k2_pre_topc @ X0 ) )
        = ( u1_struct_0 @ X0 ) )
      | ~ ( m1_subset_1 @ ( k2_pre_topc @ X0 ) @ ( k1_zfmisc_1 @ ( u1_struct_0 @ X0 ) ) ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl58,zip_derived_cl39]) ).

thf(zip_derived_cl913,plain,
    ! [X0: $i] :
      ( ~ ( m1_subset_1 @ ( k2_pre_topc @ X0 ) @ ( k1_zfmisc_1 @ ( u1_struct_0 @ X0 ) ) )
      | ( ( k6_pre_topc @ X0 @ ( k2_pre_topc @ X0 ) )
        = ( u1_struct_0 @ X0 ) )
      | ~ ( l1_pre_topc @ X0 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl627]) ).

thf(zip_derived_cl47_005,plain,
    ! [X0: $i] :
      ( ( l1_struct_0 @ X0 )
      | ~ ( l1_pre_topc @ X0 ) ),
    inference(cnf,[status(esa)],[dt_l1_pre_topc]) ).

thf(dt_k2_pre_topc,axiom,
    ! [A: $i] :
      ( ( l1_struct_0 @ A )
     => ( m1_subset_1 @ ( k2_pre_topc @ A ) @ ( k1_zfmisc_1 @ ( u1_struct_0 @ A ) ) ) ) ).

thf(zip_derived_cl44,plain,
    ! [X0: $i] :
      ( ( m1_subset_1 @ ( k2_pre_topc @ X0 ) @ ( k1_zfmisc_1 @ ( u1_struct_0 @ X0 ) ) )
      | ~ ( l1_struct_0 @ X0 ) ),
    inference(cnf,[status(esa)],[dt_k2_pre_topc]) ).

thf(zip_derived_cl631,plain,
    ! [X0: $i] :
      ( ~ ( l1_pre_topc @ X0 )
      | ( m1_subset_1 @ ( k2_pre_topc @ X0 ) @ ( k1_zfmisc_1 @ ( u1_struct_0 @ X0 ) ) ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl47,zip_derived_cl44]) ).

thf(zip_derived_cl914,plain,
    ! [X0: $i] :
      ( ~ ( l1_pre_topc @ X0 )
      | ( ( k6_pre_topc @ X0 @ ( k2_pre_topc @ X0 ) )
        = ( u1_struct_0 @ X0 ) ) ),
    inference(clc,[status(thm)],[zip_derived_cl913,zip_derived_cl631]) ).

thf(zip_derived_cl916,plain,
    ! [X0: $i] :
      ( ( ( k6_pre_topc @ X0 @ ( u1_struct_0 @ X0 ) )
        = ( u1_struct_0 @ X0 ) )
      | ~ ( l1_pre_topc @ X0 )
      | ~ ( l1_pre_topc @ X0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl636,zip_derived_cl914]) ).

thf(zip_derived_cl919,plain,
    ! [X0: $i] :
      ( ~ ( l1_pre_topc @ X0 )
      | ( ( k6_pre_topc @ X0 @ ( u1_struct_0 @ X0 ) )
        = ( u1_struct_0 @ X0 ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl916]) ).

thf(zip_derived_cl1146,plain,
    ( ( ( k6_pre_topc @ sk__15 @ sk__16 )
      = ( u1_struct_0 @ sk__15 ) )
    | ~ ( l1_pre_topc @ sk__15 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl1137,zip_derived_cl919]) ).

thf(zip_derived_cl113_006,plain,
    l1_pre_topc @ sk__15,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl1153,plain,
    ( ( k6_pre_topc @ sk__15 @ sk__16 )
    = ( u1_struct_0 @ sk__15 ) ),
    inference(demod,[status(thm)],[zip_derived_cl1146,zip_derived_cl113]) ).

thf(zip_derived_cl40,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( m1_subset_1 @ X0 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ X1 ) ) )
      | ( ( k6_pre_topc @ X1 @ X0 )
       != ( u1_struct_0 @ X1 ) )
      | ( v1_tops_1 @ X0 @ X1 )
      | ~ ( l1_pre_topc @ X1 ) ),
    inference(cnf,[status(esa)],[d2_tops_3]) ).

thf(zip_derived_cl115,plain,
    ~ ( v1_tops_1 @ sk__16 @ sk__15 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl626,plain,
    ( ~ ( l1_pre_topc @ sk__15 )
    | ( ( k6_pre_topc @ sk__15 @ sk__16 )
     != ( u1_struct_0 @ sk__15 ) )
    | ~ ( m1_subset_1 @ sk__16 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ sk__15 ) ) ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl40,zip_derived_cl115]) ).

thf(zip_derived_cl113_007,plain,
    l1_pre_topc @ sk__15,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl116_008,plain,
    m1_subset_1 @ sk__16 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ sk__15 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl874,plain,
    ( ( k6_pre_topc @ sk__15 @ sk__16 )
   != ( u1_struct_0 @ sk__15 ) ),
    inference(demod,[status(thm)],[zip_derived_cl626,zip_derived_cl113,zip_derived_cl116]) ).

thf(zip_derived_cl1154,plain,
    $false,
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl1153,zip_derived_cl874]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : TOP024+1 : TPTP v9.2.0. Released v3.4.0.
% 0.03/0.13  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.GZQrU2dmYq true
% 0.12/0.33  % Computer : n031.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit : 300
% 0.12/0.34  % WCLimit  : 300
% 0.12/0.34  % DateTime : Wed Oct  1 15:42:23 EDT 2025
% 0.12/0.34  % CPUTime  : 
% 0.12/0.34  % Running portfolio for 300 s
% 0.12/0.34  % File         : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.34  % Number of cores: 8
% 0.12/0.34  % Python version: Python 3.6.8
% 0.12/0.34  % Running in FO mode
% 0.47/0.59  % Total configuration time : 435
% 0.47/0.59  % Estimated wc time : 1092
% 0.47/0.59  % Estimated cpu time (7 cpus) : 156.0
% 0.50/0.71  % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.50/0.71  % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.50/0.72  % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.50/0.72  % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.50/0.72  % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.50/0.72  % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 0.50/0.72  % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.52/0.81  % /export/starexec/sandbox/solver/bin/fo/fo1_lcnf.sh running for 50s
% 0.52/0.90  % Solved by fo/fo3_bce.sh.
% 0.52/0.90  % BCE start: 117
% 0.52/0.90  % BCE eliminated: 45
% 0.52/0.90  % PE start: 72
% 0.52/0.90  logic: eq
% 0.52/0.90  % PE eliminated: -42
% 0.52/0.90  % done 151 iterations in 0.148s
% 0.52/0.90  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.52/0.90  % SZS output start Refutation
% See solution above
% 0.52/0.90  
% 0.52/0.90  
% 0.52/0.90  % Terminating...
% 1.67/1.04  % Runner terminated.
% 1.67/1.06  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------