TSTP Solution File: TOP035+1 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : TOP035+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.3eWpRtQiRv true

% Computer : n014.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 06:03:53 EDT 2023

% Result   : Theorem 0.18s 0.83s
% Output   : Refutation 0.18s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   13
%            Number of leaves      :   26
% Syntax   : Number of formulae    :  102 (  56 unt;  21 typ;   0 def)
%            Number of atoms       :  249 (  21 equ;   0 cnn)
%            Maximal formula atoms :   15 (   3 avg)
%            Number of connectives :  952 ( 115   ~; 114   |;  30   &; 669   @)
%                                         (   2 <=>;  22  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   22 (   6 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   35 (  35   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   23 (  21 usr;   5 con; 0-4 aty)
%            Number of variables   :   44 (   0   ^;  44   !;   0   ?;  44   :)

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

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

thf(k1_tsp_2_type,type,
    k1_tsp_2: $i > $i > $i ).

thf(v1_funct_1_type,type,
    v1_funct_1: $i > $o ).

thf(v2_tsp_2_type,type,
    v2_tsp_2: $i > $i > $o ).

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

thf(v1_funct_2_type,type,
    v1_funct_2: $i > $i > $i > $o ).

thf(sk__4_type,type,
    sk__4: $i ).

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

thf(v5_pre_topc_type,type,
    v5_pre_topc: $i > $i > $i > $o ).

thf(k1_struct_0_type,type,
    k1_struct_0: $i > $i > $i ).

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

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

thf(sk__6_type,type,
    sk__6: $i ).

thf(m1_pre_topc_type,type,
    m1_pre_topc: $i > $i > $o ).

thf(k5_pre_topc_type,type,
    k5_pre_topc: $i > $i > $i > $i > $i ).

thf(sk__5_type,type,
    sk__5: $i ).

thf(v3_borsuk_1_type,type,
    v3_borsuk_1: $i > $i > $i > $o ).

thf(m2_tsp_1_type,type,
    m2_tsp_1: $i > $i > $o ).

thf(sk__3_type,type,
    sk__3: $i ).

thf(m2_relset_1_type,type,
    m2_relset_1: $i > $i > $i > $o ).

thf(t24_tsp_2,conjecture,
    ! [A: $i] :
      ( ( ~ ( v3_struct_0 @ A )
        & ( v2_pre_topc @ A )
        & ( l1_pre_topc @ A ) )
     => ! [B: $i] :
          ( ( ~ ( v3_struct_0 @ B )
            & ( v2_tsp_2 @ B @ A )
            & ( m2_tsp_1 @ B @ A ) )
         => ! [C: $i] :
              ( ( m1_subset_1 @ C @ ( u1_struct_0 @ A ) )
             => ! [D: $i] :
                  ( ( m1_subset_1 @ D @ ( u1_struct_0 @ B ) )
                 => ( ( C = D )
                   => ( ( k5_pre_topc @ A @ B @ ( k1_tsp_2 @ A @ B ) @ ( k6_pre_topc @ B @ ( k1_struct_0 @ B @ D ) ) )
                      = ( k6_pre_topc @ A @ ( k1_struct_0 @ A @ C ) ) ) ) ) ) ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ! [A: $i] :
        ( ( ~ ( v3_struct_0 @ A )
          & ( v2_pre_topc @ A )
          & ( l1_pre_topc @ A ) )
       => ! [B: $i] :
            ( ( ~ ( v3_struct_0 @ B )
              & ( v2_tsp_2 @ B @ A )
              & ( m2_tsp_1 @ B @ A ) )
           => ! [C: $i] :
                ( ( m1_subset_1 @ C @ ( u1_struct_0 @ A ) )
               => ! [D: $i] :
                    ( ( m1_subset_1 @ D @ ( u1_struct_0 @ B ) )
                   => ( ( C = D )
                     => ( ( k5_pre_topc @ A @ B @ ( k1_tsp_2 @ A @ B ) @ ( k6_pre_topc @ B @ ( k1_struct_0 @ B @ D ) ) )
                        = ( k6_pre_topc @ A @ ( k1_struct_0 @ A @ C ) ) ) ) ) ) ) ),
    inference('cnf.neg',[status(esa)],[t24_tsp_2]) ).

thf(zip_derived_cl30,plain,
    v2_tsp_2 @ sk__4 @ sk__3,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(dt_k1_tsp_2,axiom,
    ! [A: $i,B: $i] :
      ( ( ~ ( v3_struct_0 @ A )
        & ( v2_pre_topc @ A )
        & ( l1_pre_topc @ A )
        & ~ ( v3_struct_0 @ B )
        & ( v2_tsp_2 @ B @ A )
        & ( m1_pre_topc @ B @ A ) )
     => ( ( v1_funct_1 @ ( k1_tsp_2 @ A @ B ) )
        & ( v1_funct_2 @ ( k1_tsp_2 @ A @ B ) @ ( u1_struct_0 @ A ) @ ( u1_struct_0 @ B ) )
        & ( v5_pre_topc @ ( k1_tsp_2 @ A @ B ) @ A @ B )
        & ( m2_relset_1 @ ( k1_tsp_2 @ A @ B ) @ ( u1_struct_0 @ A ) @ ( u1_struct_0 @ B ) ) ) ) ).

thf(zip_derived_cl9,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( l1_pre_topc @ X0 )
      | ~ ( v2_pre_topc @ X0 )
      | ( v3_struct_0 @ X0 )
      | ( v3_struct_0 @ X1 )
      | ~ ( v2_tsp_2 @ X1 @ X0 )
      | ~ ( m1_pre_topc @ X1 @ X0 )
      | ( v1_funct_2 @ ( k1_tsp_2 @ X0 @ X1 ) @ ( u1_struct_0 @ X0 ) @ ( u1_struct_0 @ X1 ) ) ),
    inference(cnf,[status(esa)],[dt_k1_tsp_2]) ).

thf(zip_derived_cl80,plain,
    ( ( v1_funct_2 @ ( k1_tsp_2 @ sk__3 @ sk__4 ) @ ( u1_struct_0 @ sk__3 ) @ ( u1_struct_0 @ sk__4 ) )
    | ~ ( m1_pre_topc @ sk__4 @ sk__3 )
    | ( v3_struct_0 @ sk__4 )
    | ( v3_struct_0 @ sk__3 )
    | ~ ( v2_pre_topc @ sk__3 )
    | ~ ( l1_pre_topc @ sk__3 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl30,zip_derived_cl9]) ).

thf(zip_derived_cl29,plain,
    m2_tsp_1 @ sk__4 @ sk__3,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(redefinition_m2_tsp_1,axiom,
    ! [A: $i] :
      ( ( l1_pre_topc @ A )
     => ! [B: $i] :
          ( ( m2_tsp_1 @ B @ A )
        <=> ( m1_pre_topc @ B @ A ) ) ) ).

thf(zip_derived_cl21,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( m2_tsp_1 @ X0 @ X1 )
      | ( m1_pre_topc @ X0 @ X1 )
      | ~ ( l1_pre_topc @ X1 ) ),
    inference(cnf,[status(esa)],[redefinition_m2_tsp_1]) ).

thf(zip_derived_cl41,plain,
    ( ~ ( l1_pre_topc @ sk__3 )
    | ( m1_pre_topc @ sk__4 @ sk__3 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl29,zip_derived_cl21]) ).

thf(zip_derived_cl24,plain,
    l1_pre_topc @ sk__3,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl43,plain,
    m1_pre_topc @ sk__4 @ sk__3,
    inference(demod,[status(thm)],[zip_derived_cl41,zip_derived_cl24]) ).

thf(zip_derived_cl31,plain,
    ~ ( v3_struct_0 @ sk__4 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl22,plain,
    ~ ( v3_struct_0 @ sk__3 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl23,plain,
    v2_pre_topc @ sk__3,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl24_001,plain,
    l1_pre_topc @ sk__3,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl81,plain,
    v1_funct_2 @ ( k1_tsp_2 @ sk__3 @ sk__4 ) @ ( u1_struct_0 @ sk__3 ) @ ( u1_struct_0 @ sk__4 ),
    inference(demod,[status(thm)],[zip_derived_cl80,zip_derived_cl43,zip_derived_cl31,zip_derived_cl22,zip_derived_cl23,zip_derived_cl24]) ).

thf(l33_tsp_2,axiom,
    ! [A: $i] :
      ( ( ~ ( v3_struct_0 @ A )
        & ( v2_pre_topc @ A )
        & ( l1_pre_topc @ A ) )
     => ! [B: $i] :
          ( ( ~ ( v3_struct_0 @ B )
            & ( v2_tsp_2 @ B @ A )
            & ( m2_tsp_1 @ B @ A ) )
         => ! [C: $i] :
              ( ( ( v1_funct_1 @ C )
                & ( v1_funct_2 @ C @ ( u1_struct_0 @ A ) @ ( u1_struct_0 @ B ) )
                & ( v5_pre_topc @ C @ A @ B )
                & ( m2_relset_1 @ C @ ( u1_struct_0 @ A ) @ ( u1_struct_0 @ B ) ) )
             => ( ( v3_borsuk_1 @ C @ A @ B )
               => ! [D: $i] :
                    ( ( m1_subset_1 @ D @ ( u1_struct_0 @ A ) )
                   => ! [E: $i] :
                        ( ( m1_subset_1 @ E @ ( u1_struct_0 @ B ) )
                       => ( ( D = E )
                         => ( ( k5_pre_topc @ A @ B @ C @ ( k6_pre_topc @ B @ ( k1_struct_0 @ B @ E ) ) )
                            = ( k6_pre_topc @ A @ ( k1_struct_0 @ A @ D ) ) ) ) ) ) ) ) ) ) ).

thf(zip_derived_cl18,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( ( v3_struct_0 @ X0 )
      | ~ ( v2_tsp_2 @ X0 @ X1 )
      | ~ ( m2_tsp_1 @ X0 @ X1 )
      | ~ ( v3_borsuk_1 @ X2 @ X1 @ X0 )
      | ~ ( m1_subset_1 @ X3 @ ( u1_struct_0 @ X1 ) )
      | ( X3 != X4 )
      | ( ( k5_pre_topc @ X1 @ X0 @ X2 @ ( k6_pre_topc @ X0 @ ( k1_struct_0 @ X0 @ X4 ) ) )
        = ( k6_pre_topc @ X1 @ ( k1_struct_0 @ X1 @ X3 ) ) )
      | ~ ( m1_subset_1 @ X4 @ ( u1_struct_0 @ X0 ) )
      | ~ ( m2_relset_1 @ X2 @ ( u1_struct_0 @ X1 ) @ ( u1_struct_0 @ X0 ) )
      | ~ ( v5_pre_topc @ X2 @ X1 @ X0 )
      | ~ ( v1_funct_2 @ X2 @ ( u1_struct_0 @ X1 ) @ ( u1_struct_0 @ X0 ) )
      | ~ ( v1_funct_1 @ X2 )
      | ~ ( l1_pre_topc @ X1 )
      | ~ ( v2_pre_topc @ X1 )
      | ( v3_struct_0 @ X1 ) ),
    inference(cnf,[status(esa)],[l33_tsp_2]) ).

thf(zip_derived_cl85,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ( v3_struct_0 @ X0 )
      | ~ ( v2_pre_topc @ X0 )
      | ~ ( l1_pre_topc @ X0 )
      | ~ ( v1_funct_1 @ X1 )
      | ~ ( v1_funct_2 @ X1 @ ( u1_struct_0 @ X0 ) @ ( u1_struct_0 @ X2 ) )
      | ~ ( v5_pre_topc @ X1 @ X0 @ X2 )
      | ~ ( m2_relset_1 @ X1 @ ( u1_struct_0 @ X0 ) @ ( u1_struct_0 @ X2 ) )
      | ~ ( m1_subset_1 @ X3 @ ( u1_struct_0 @ X2 ) )
      | ( ( k5_pre_topc @ X0 @ X2 @ X1 @ ( k6_pre_topc @ X2 @ ( k1_struct_0 @ X2 @ X3 ) ) )
        = ( k6_pre_topc @ X0 @ ( k1_struct_0 @ X0 @ X3 ) ) )
      | ~ ( m1_subset_1 @ X3 @ ( u1_struct_0 @ X0 ) )
      | ~ ( v3_borsuk_1 @ X1 @ X0 @ X2 )
      | ~ ( m2_tsp_1 @ X2 @ X0 )
      | ~ ( v2_tsp_2 @ X2 @ X0 )
      | ( v3_struct_0 @ X2 ) ),
    inference(eq_res,[status(thm)],[zip_derived_cl18]) ).

thf(zip_derived_cl86,plain,
    ! [X0: $i] :
      ( ( v3_struct_0 @ sk__4 )
      | ~ ( v2_tsp_2 @ sk__4 @ sk__3 )
      | ~ ( m2_tsp_1 @ sk__4 @ sk__3 )
      | ~ ( v3_borsuk_1 @ ( k1_tsp_2 @ sk__3 @ sk__4 ) @ sk__3 @ sk__4 )
      | ~ ( m1_subset_1 @ X0 @ ( u1_struct_0 @ sk__3 ) )
      | ( ( k5_pre_topc @ sk__3 @ sk__4 @ ( k1_tsp_2 @ sk__3 @ sk__4 ) @ ( k6_pre_topc @ sk__4 @ ( k1_struct_0 @ sk__4 @ X0 ) ) )
        = ( k6_pre_topc @ sk__3 @ ( k1_struct_0 @ sk__3 @ X0 ) ) )
      | ~ ( m1_subset_1 @ X0 @ ( u1_struct_0 @ sk__4 ) )
      | ~ ( m2_relset_1 @ ( k1_tsp_2 @ sk__3 @ sk__4 ) @ ( u1_struct_0 @ sk__3 ) @ ( u1_struct_0 @ sk__4 ) )
      | ~ ( v5_pre_topc @ ( k1_tsp_2 @ sk__3 @ sk__4 ) @ sk__3 @ sk__4 )
      | ~ ( v1_funct_1 @ ( k1_tsp_2 @ sk__3 @ sk__4 ) )
      | ~ ( l1_pre_topc @ sk__3 )
      | ~ ( v2_pre_topc @ sk__3 )
      | ( v3_struct_0 @ sk__3 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl81,zip_derived_cl85]) ).

thf(zip_derived_cl31_002,plain,
    ~ ( v3_struct_0 @ sk__4 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl30_003,plain,
    v2_tsp_2 @ sk__4 @ sk__3,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl29_004,plain,
    m2_tsp_1 @ sk__4 @ sk__3,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl30_005,plain,
    v2_tsp_2 @ sk__4 @ sk__3,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl7,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( l1_pre_topc @ X0 )
      | ~ ( v2_pre_topc @ X0 )
      | ( v3_struct_0 @ X0 )
      | ( v3_struct_0 @ X1 )
      | ~ ( v2_tsp_2 @ X1 @ X0 )
      | ~ ( m1_pre_topc @ X1 @ X0 )
      | ( m2_relset_1 @ ( k1_tsp_2 @ X0 @ X1 ) @ ( u1_struct_0 @ X0 ) @ ( u1_struct_0 @ X1 ) ) ),
    inference(cnf,[status(esa)],[dt_k1_tsp_2]) ).

thf(zip_derived_cl75,plain,
    ( ( m2_relset_1 @ ( k1_tsp_2 @ sk__3 @ sk__4 ) @ ( u1_struct_0 @ sk__3 ) @ ( u1_struct_0 @ sk__4 ) )
    | ~ ( m1_pre_topc @ sk__4 @ sk__3 )
    | ( v3_struct_0 @ sk__4 )
    | ( v3_struct_0 @ sk__3 )
    | ~ ( v2_pre_topc @ sk__3 )
    | ~ ( l1_pre_topc @ sk__3 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl30,zip_derived_cl7]) ).

thf(zip_derived_cl43_006,plain,
    m1_pre_topc @ sk__4 @ sk__3,
    inference(demod,[status(thm)],[zip_derived_cl41,zip_derived_cl24]) ).

thf(zip_derived_cl31_007,plain,
    ~ ( v3_struct_0 @ sk__4 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl22_008,plain,
    ~ ( v3_struct_0 @ sk__3 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl23_009,plain,
    v2_pre_topc @ sk__3,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl24_010,plain,
    l1_pre_topc @ sk__3,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl76,plain,
    m2_relset_1 @ ( k1_tsp_2 @ sk__3 @ sk__4 ) @ ( u1_struct_0 @ sk__3 ) @ ( u1_struct_0 @ sk__4 ),
    inference(demod,[status(thm)],[zip_derived_cl75,zip_derived_cl43,zip_derived_cl31,zip_derived_cl22,zip_derived_cl23,zip_derived_cl24]) ).

thf(d9_tsp_2,axiom,
    ! [A: $i] :
      ( ( ~ ( v3_struct_0 @ A )
        & ( v2_pre_topc @ A )
        & ( l1_pre_topc @ A ) )
     => ! [B: $i] :
          ( ( ~ ( v3_struct_0 @ B )
            & ( v2_tsp_2 @ B @ A )
            & ( m2_tsp_1 @ B @ A ) )
         => ! [C: $i] :
              ( ( ( v1_funct_1 @ C )
                & ( v1_funct_2 @ C @ ( u1_struct_0 @ A ) @ ( u1_struct_0 @ B ) )
                & ( v5_pre_topc @ C @ A @ B )
                & ( m2_relset_1 @ C @ ( u1_struct_0 @ A ) @ ( u1_struct_0 @ B ) ) )
             => ( ( C
                  = ( k1_tsp_2 @ A @ B ) )
              <=> ( v3_borsuk_1 @ C @ A @ B ) ) ) ) ) ).

thf(zip_derived_cl4,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( v3_struct_0 @ X0 )
      | ~ ( v2_tsp_2 @ X0 @ X1 )
      | ~ ( m2_tsp_1 @ X0 @ X1 )
      | ( X2
       != ( k1_tsp_2 @ X1 @ X0 ) )
      | ( v3_borsuk_1 @ X2 @ X1 @ X0 )
      | ~ ( m2_relset_1 @ X2 @ ( u1_struct_0 @ X1 ) @ ( u1_struct_0 @ X0 ) )
      | ~ ( v5_pre_topc @ X2 @ X1 @ X0 )
      | ~ ( v1_funct_2 @ X2 @ ( u1_struct_0 @ X1 ) @ ( u1_struct_0 @ X0 ) )
      | ~ ( v1_funct_1 @ X2 )
      | ~ ( l1_pre_topc @ X1 )
      | ~ ( v2_pre_topc @ X1 )
      | ( v3_struct_0 @ X1 ) ),
    inference(cnf,[status(esa)],[d9_tsp_2]) ).

thf(zip_derived_cl77,plain,
    ( ( v3_struct_0 @ sk__3 )
    | ~ ( v2_pre_topc @ sk__3 )
    | ~ ( l1_pre_topc @ sk__3 )
    | ~ ( v1_funct_1 @ ( k1_tsp_2 @ sk__3 @ sk__4 ) )
    | ~ ( v1_funct_2 @ ( k1_tsp_2 @ sk__3 @ sk__4 ) @ ( u1_struct_0 @ sk__3 ) @ ( u1_struct_0 @ sk__4 ) )
    | ~ ( v5_pre_topc @ ( k1_tsp_2 @ sk__3 @ sk__4 ) @ sk__3 @ sk__4 )
    | ( v3_borsuk_1 @ ( k1_tsp_2 @ sk__3 @ sk__4 ) @ sk__3 @ sk__4 )
    | ( ( k1_tsp_2 @ sk__3 @ sk__4 )
     != ( k1_tsp_2 @ sk__3 @ sk__4 ) )
    | ~ ( m2_tsp_1 @ sk__4 @ sk__3 )
    | ~ ( v2_tsp_2 @ sk__4 @ sk__3 )
    | ( v3_struct_0 @ sk__4 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl76,zip_derived_cl4]) ).

thf(zip_derived_cl22_011,plain,
    ~ ( v3_struct_0 @ sk__3 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl23_012,plain,
    v2_pre_topc @ sk__3,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl24_013,plain,
    l1_pre_topc @ sk__3,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl30_014,plain,
    v2_tsp_2 @ sk__4 @ sk__3,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl10,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( l1_pre_topc @ X0 )
      | ~ ( v2_pre_topc @ X0 )
      | ( v3_struct_0 @ X0 )
      | ( v3_struct_0 @ X1 )
      | ~ ( v2_tsp_2 @ X1 @ X0 )
      | ~ ( m1_pre_topc @ X1 @ X0 )
      | ( v1_funct_1 @ ( k1_tsp_2 @ X0 @ X1 ) ) ),
    inference(cnf,[status(esa)],[dt_k1_tsp_2]) ).

thf(zip_derived_cl71,plain,
    ( ( v1_funct_1 @ ( k1_tsp_2 @ sk__3 @ sk__4 ) )
    | ~ ( m1_pre_topc @ sk__4 @ sk__3 )
    | ( v3_struct_0 @ sk__4 )
    | ( v3_struct_0 @ sk__3 )
    | ~ ( v2_pre_topc @ sk__3 )
    | ~ ( l1_pre_topc @ sk__3 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl30,zip_derived_cl10]) ).

thf(zip_derived_cl43_015,plain,
    m1_pre_topc @ sk__4 @ sk__3,
    inference(demod,[status(thm)],[zip_derived_cl41,zip_derived_cl24]) ).

thf(zip_derived_cl31_016,plain,
    ~ ( v3_struct_0 @ sk__4 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl22_017,plain,
    ~ ( v3_struct_0 @ sk__3 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl23_018,plain,
    v2_pre_topc @ sk__3,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl24_019,plain,
    l1_pre_topc @ sk__3,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl72,plain,
    v1_funct_1 @ ( k1_tsp_2 @ sk__3 @ sk__4 ),
    inference(demod,[status(thm)],[zip_derived_cl71,zip_derived_cl43,zip_derived_cl31,zip_derived_cl22,zip_derived_cl23,zip_derived_cl24]) ).

thf(zip_derived_cl30_020,plain,
    v2_tsp_2 @ sk__4 @ sk__3,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl8,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( l1_pre_topc @ X0 )
      | ~ ( v2_pre_topc @ X0 )
      | ( v3_struct_0 @ X0 )
      | ( v3_struct_0 @ X1 )
      | ~ ( v2_tsp_2 @ X1 @ X0 )
      | ~ ( m1_pre_topc @ X1 @ X0 )
      | ( v5_pre_topc @ ( k1_tsp_2 @ X0 @ X1 ) @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[dt_k1_tsp_2]) ).

thf(zip_derived_cl73,plain,
    ( ( v5_pre_topc @ ( k1_tsp_2 @ sk__3 @ sk__4 ) @ sk__3 @ sk__4 )
    | ~ ( m1_pre_topc @ sk__4 @ sk__3 )
    | ( v3_struct_0 @ sk__4 )
    | ( v3_struct_0 @ sk__3 )
    | ~ ( v2_pre_topc @ sk__3 )
    | ~ ( l1_pre_topc @ sk__3 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl30,zip_derived_cl8]) ).

thf(zip_derived_cl43_021,plain,
    m1_pre_topc @ sk__4 @ sk__3,
    inference(demod,[status(thm)],[zip_derived_cl41,zip_derived_cl24]) ).

thf(zip_derived_cl31_022,plain,
    ~ ( v3_struct_0 @ sk__4 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl22_023,plain,
    ~ ( v3_struct_0 @ sk__3 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl23_024,plain,
    v2_pre_topc @ sk__3,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl24_025,plain,
    l1_pre_topc @ sk__3,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl74,plain,
    v5_pre_topc @ ( k1_tsp_2 @ sk__3 @ sk__4 ) @ sk__3 @ sk__4,
    inference(demod,[status(thm)],[zip_derived_cl73,zip_derived_cl43,zip_derived_cl31,zip_derived_cl22,zip_derived_cl23,zip_derived_cl24]) ).

thf(zip_derived_cl29_026,plain,
    m2_tsp_1 @ sk__4 @ sk__3,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl30_027,plain,
    v2_tsp_2 @ sk__4 @ sk__3,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl31_028,plain,
    ~ ( v3_struct_0 @ sk__4 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl78,plain,
    ( ~ ( v1_funct_2 @ ( k1_tsp_2 @ sk__3 @ sk__4 ) @ ( u1_struct_0 @ sk__3 ) @ ( u1_struct_0 @ sk__4 ) )
    | ( v3_borsuk_1 @ ( k1_tsp_2 @ sk__3 @ sk__4 ) @ sk__3 @ sk__4 )
    | ( ( k1_tsp_2 @ sk__3 @ sk__4 )
     != ( k1_tsp_2 @ sk__3 @ sk__4 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl77,zip_derived_cl22,zip_derived_cl23,zip_derived_cl24,zip_derived_cl72,zip_derived_cl74,zip_derived_cl29,zip_derived_cl30,zip_derived_cl31]) ).

thf(zip_derived_cl79,plain,
    ( ( v3_borsuk_1 @ ( k1_tsp_2 @ sk__3 @ sk__4 ) @ sk__3 @ sk__4 )
    | ~ ( v1_funct_2 @ ( k1_tsp_2 @ sk__3 @ sk__4 ) @ ( u1_struct_0 @ sk__3 ) @ ( u1_struct_0 @ sk__4 ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl78]) ).

thf(zip_derived_cl81_029,plain,
    v1_funct_2 @ ( k1_tsp_2 @ sk__3 @ sk__4 ) @ ( u1_struct_0 @ sk__3 ) @ ( u1_struct_0 @ sk__4 ),
    inference(demod,[status(thm)],[zip_derived_cl80,zip_derived_cl43,zip_derived_cl31,zip_derived_cl22,zip_derived_cl23,zip_derived_cl24]) ).

thf(zip_derived_cl82,plain,
    v3_borsuk_1 @ ( k1_tsp_2 @ sk__3 @ sk__4 ) @ sk__3 @ sk__4,
    inference(demod,[status(thm)],[zip_derived_cl79,zip_derived_cl81]) ).

thf(zip_derived_cl76_030,plain,
    m2_relset_1 @ ( k1_tsp_2 @ sk__3 @ sk__4 ) @ ( u1_struct_0 @ sk__3 ) @ ( u1_struct_0 @ sk__4 ),
    inference(demod,[status(thm)],[zip_derived_cl75,zip_derived_cl43,zip_derived_cl31,zip_derived_cl22,zip_derived_cl23,zip_derived_cl24]) ).

thf(zip_derived_cl74_031,plain,
    v5_pre_topc @ ( k1_tsp_2 @ sk__3 @ sk__4 ) @ sk__3 @ sk__4,
    inference(demod,[status(thm)],[zip_derived_cl73,zip_derived_cl43,zip_derived_cl31,zip_derived_cl22,zip_derived_cl23,zip_derived_cl24]) ).

thf(zip_derived_cl72_032,plain,
    v1_funct_1 @ ( k1_tsp_2 @ sk__3 @ sk__4 ),
    inference(demod,[status(thm)],[zip_derived_cl71,zip_derived_cl43,zip_derived_cl31,zip_derived_cl22,zip_derived_cl23,zip_derived_cl24]) ).

thf(zip_derived_cl24_033,plain,
    l1_pre_topc @ sk__3,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl23_034,plain,
    v2_pre_topc @ sk__3,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl22_035,plain,
    ~ ( v3_struct_0 @ sk__3 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl87,plain,
    ! [X0: $i] :
      ( ~ ( m1_subset_1 @ X0 @ ( u1_struct_0 @ sk__3 ) )
      | ( ( k5_pre_topc @ sk__3 @ sk__4 @ ( k1_tsp_2 @ sk__3 @ sk__4 ) @ ( k6_pre_topc @ sk__4 @ ( k1_struct_0 @ sk__4 @ X0 ) ) )
        = ( k6_pre_topc @ sk__3 @ ( k1_struct_0 @ sk__3 @ X0 ) ) )
      | ~ ( m1_subset_1 @ X0 @ ( u1_struct_0 @ sk__4 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl86,zip_derived_cl31,zip_derived_cl30,zip_derived_cl29,zip_derived_cl82,zip_derived_cl76,zip_derived_cl74,zip_derived_cl72,zip_derived_cl24,zip_derived_cl23,zip_derived_cl22]) ).

thf(zip_derived_cl27,plain,
    ( ( k5_pre_topc @ sk__3 @ sk__4 @ ( k1_tsp_2 @ sk__3 @ sk__4 ) @ ( k6_pre_topc @ sk__4 @ ( k1_struct_0 @ sk__4 @ sk__6 ) ) )
   != ( k6_pre_topc @ sk__3 @ ( k1_struct_0 @ sk__3 @ sk__5 ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl26,plain,
    sk__5 = sk__6,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl35,plain,
    ( ( k5_pre_topc @ sk__3 @ sk__4 @ ( k1_tsp_2 @ sk__3 @ sk__4 ) @ ( k6_pre_topc @ sk__4 @ ( k1_struct_0 @ sk__4 @ sk__6 ) ) )
   != ( k6_pre_topc @ sk__3 @ ( k1_struct_0 @ sk__3 @ sk__6 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl27,zip_derived_cl26]) ).

thf(zip_derived_cl89,plain,
    ( ( ( k6_pre_topc @ sk__3 @ ( k1_struct_0 @ sk__3 @ sk__6 ) )
     != ( k6_pre_topc @ sk__3 @ ( k1_struct_0 @ sk__3 @ sk__6 ) ) )
    | ~ ( m1_subset_1 @ sk__6 @ ( u1_struct_0 @ sk__4 ) )
    | ~ ( m1_subset_1 @ sk__6 @ ( u1_struct_0 @ sk__3 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl87,zip_derived_cl35]) ).

thf(zip_derived_cl28,plain,
    m1_subset_1 @ sk__6 @ ( u1_struct_0 @ sk__4 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl25,plain,
    m1_subset_1 @ sk__5 @ ( u1_struct_0 @ sk__3 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl26_036,plain,
    sk__5 = sk__6,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl34,plain,
    m1_subset_1 @ sk__6 @ ( u1_struct_0 @ sk__3 ),
    inference(demod,[status(thm)],[zip_derived_cl25,zip_derived_cl26]) ).

thf(zip_derived_cl91,plain,
    ( ( k6_pre_topc @ sk__3 @ ( k1_struct_0 @ sk__3 @ sk__6 ) )
   != ( k6_pre_topc @ sk__3 @ ( k1_struct_0 @ sk__3 @ sk__6 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl89,zip_derived_cl28,zip_derived_cl34]) ).

thf(zip_derived_cl92,plain,
    $false,
    inference(simplify,[status(thm)],[zip_derived_cl91]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : TOP035+1 : TPTP v8.1.2. Released v3.4.0.
% 0.00/0.13  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.3eWpRtQiRv true
% 0.12/0.33  % Computer : n014.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
% 0.12/0.33  % CPULimit : 300
% 0.12/0.33  % WCLimit  : 300
% 0.12/0.33  % DateTime : Sat Aug 26 23:55:47 EDT 2023
% 0.12/0.33  % CPUTime  : 
% 0.12/0.33  % Running portfolio for 300 s
% 0.12/0.33  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.34  % Number of cores: 8
% 0.12/0.34  % Python version: Python 3.6.8
% 0.18/0.34  % Running in FO mode
% 0.18/0.61  % Total configuration time : 435
% 0.18/0.61  % Estimated wc time : 1092
% 0.18/0.61  % Estimated cpu time (7 cpus) : 156.0
% 0.18/0.72  % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.18/0.72  % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.18/0.72  % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.18/0.72  % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.18/0.72  % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.18/0.72  % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.18/0.73  % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 0.18/0.83  % Solved by fo/fo4.sh.
% 0.18/0.83  % done 57 iterations in 0.066s
% 0.18/0.83  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.18/0.83  % SZS output start Refutation
% See solution above
% 0.18/0.83  
% 0.18/0.83  
% 0.18/0.83  % Terminating...
% 1.53/0.93  % Runner terminated.
% 1.53/0.95  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------