TSTP Solution File: TOP028+1 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : TOP028+1 : TPTP v8.1.0. Released v3.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s

% 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 : Wed Aug 31 19:53:27 EDT 2022

% Result   : Theorem 0.19s 0.55s
% Output   : Refutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   17
%            Number of leaves      :   12
% Syntax   : Number of formulae    :   76 (  12 unt;   0 def)
%            Number of atoms       :  274 (   6 equ)
%            Maximal formula atoms :   10 (   3 avg)
%            Number of connectives :  326 ( 128   ~; 140   |;  43   &)
%                                         (   1 <=>;  14  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   11 (   5 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :   12 (  10 usr;   2 prp; 0-2 aty)
%            Number of functors    :    8 (   8 usr;   4 con; 0-2 aty)
%            Number of variables   :   71 (  61   !;  10   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f942,plain,
    $false,
    inference(avatar_sat_refutation,[],[f933,f941]) ).

fof(f941,plain,
    spl21_9,
    inference(avatar_contradiction_clause,[],[f940]) ).

fof(f940,plain,
    ( $false
    | spl21_9 ),
    inference(subsumption_resolution,[],[f939,f338]) ).

fof(f338,plain,
    ~ v3_struct_0(sK18),
    inference(cnf_transformation,[],[f197]) ).

fof(f197,plain,
    ( ~ v3_struct_0(sK18)
    & ! [X1] :
        ( ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(sK18)))
        | ~ v1_tsp_2(X1,sK18) )
    & v2_pre_topc(sK18)
    & l1_pre_topc(sK18) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK18])],[f141,f196]) ).

fof(f196,plain,
    ( ? [X0] :
        ( ~ v3_struct_0(X0)
        & ! [X1] :
            ( ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
            | ~ v1_tsp_2(X1,X0) )
        & v2_pre_topc(X0)
        & l1_pre_topc(X0) )
   => ( ~ v3_struct_0(sK18)
      & ! [X1] :
          ( ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(sK18)))
          | ~ v1_tsp_2(X1,sK18) )
      & v2_pre_topc(sK18)
      & l1_pre_topc(sK18) ) ),
    introduced(choice_axiom,[]) ).

fof(f141,plain,
    ? [X0] :
      ( ~ v3_struct_0(X0)
      & ! [X1] :
          ( ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
          | ~ v1_tsp_2(X1,X0) )
      & v2_pre_topc(X0)
      & l1_pre_topc(X0) ),
    inference(flattening,[],[f140]) ).

fof(f140,plain,
    ? [X0] :
      ( ! [X1] :
          ( ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
          | ~ v1_tsp_2(X1,X0) )
      & v2_pre_topc(X0)
      & l1_pre_topc(X0)
      & ~ v3_struct_0(X0) ),
    inference(ennf_transformation,[],[f2]) ).

fof(f2,negated_conjecture,
    ~ ! [X0] :
        ( ( v2_pre_topc(X0)
          & l1_pre_topc(X0)
          & ~ v3_struct_0(X0) )
       => ? [X1] :
            ( v1_tsp_2(X1,X0)
            & m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) ) ),
    inference(negated_conjecture,[],[f1]) ).

fof(f1,conjecture,
    ! [X0] :
      ( ( v2_pre_topc(X0)
        & l1_pre_topc(X0)
        & ~ v3_struct_0(X0) )
     => ? [X1] :
          ( v1_tsp_2(X1,X0)
          & m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t10_tsp_2) ).

fof(f939,plain,
    ( v3_struct_0(sK18)
    | spl21_9 ),
    inference(subsumption_resolution,[],[f938,f934]) ).

fof(f934,plain,
    ( ~ v1_tsp_1(k1_xboole_0,sK18)
    | spl21_9 ),
    inference(forward_demodulation,[],[f587,f607]) ).

fof(f607,plain,
    ! [X0] : k1_xboole_0 = sK10(X0),
    inference(resolution,[],[f303,f258]) ).

fof(f258,plain,
    ! [X0] : v1_xboole_0(sK10(X0)),
    inference(cnf_transformation,[],[f175]) ).

fof(f175,plain,
    ! [X0] :
      ( v1_xboole_0(sK10(X0))
      & m1_subset_1(sK10(X0),k1_zfmisc_1(X0)) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK10])],[f44,f174]) ).

fof(f174,plain,
    ! [X0] :
      ( ? [X1] :
          ( v1_xboole_0(X1)
          & m1_subset_1(X1,k1_zfmisc_1(X0)) )
     => ( v1_xboole_0(sK10(X0))
        & m1_subset_1(sK10(X0),k1_zfmisc_1(X0)) ) ),
    introduced(choice_axiom,[]) ).

fof(f44,axiom,
    ! [X0] :
    ? [X1] :
      ( v1_xboole_0(X1)
      & m1_subset_1(X1,k1_zfmisc_1(X0)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rc2_subset_1) ).

fof(f303,plain,
    ! [X0] :
      ( ~ v1_xboole_0(X0)
      | k1_xboole_0 = X0 ),
    inference(cnf_transformation,[],[f88]) ).

fof(f88,plain,
    ! [X0] :
      ( ~ v1_xboole_0(X0)
      | k1_xboole_0 = X0 ),
    inference(ennf_transformation,[],[f61]) ).

fof(f61,axiom,
    ! [X0] :
      ( v1_xboole_0(X0)
     => k1_xboole_0 = X0 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t6_boole) ).

fof(f587,plain,
    ( ~ v1_tsp_1(sK10(sF19),sK18)
    | spl21_9 ),
    inference(avatar_component_clause,[],[f586]) ).

fof(f586,plain,
    ( spl21_9
  <=> v1_tsp_1(sK10(sF19),sK18) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_9])]) ).

fof(f938,plain,
    ( v1_tsp_1(k1_xboole_0,sK18)
    | v3_struct_0(sK18) ),
    inference(subsumption_resolution,[],[f798,f335]) ).

fof(f335,plain,
    l1_pre_topc(sK18),
    inference(cnf_transformation,[],[f197]) ).

fof(f798,plain,
    ( ~ l1_pre_topc(sK18)
    | v3_struct_0(sK18)
    | v1_tsp_1(k1_xboole_0,sK18) ),
    inference(resolution,[],[f793,f651]) ).

fof(f651,plain,
    ! [X3] :
      ( ~ v3_tex_2(k1_xboole_0,X3)
      | ~ l1_pre_topc(X3)
      | v3_struct_0(X3)
      | v1_tsp_1(k1_xboole_0,X3) ),
    inference(forward_demodulation,[],[f644,f607]) ).

fof(f644,plain,
    ! [X3] :
      ( v3_struct_0(X3)
      | ~ v3_tex_2(sK10(u1_struct_0(X3)),X3)
      | ~ l1_pre_topc(X3)
      | v1_tsp_1(k1_xboole_0,X3) ),
    inference(backward_demodulation,[],[f506,f607]) ).

fof(f506,plain,
    ! [X3] :
      ( ~ v3_tex_2(sK10(u1_struct_0(X3)),X3)
      | v1_tsp_1(sK10(u1_struct_0(X3)),X3)
      | v3_struct_0(X3)
      | ~ l1_pre_topc(X3) ),
    inference(resolution,[],[f340,f257]) ).

fof(f257,plain,
    ! [X0] : m1_subset_1(sK10(X0),k1_zfmisc_1(X0)),
    inference(cnf_transformation,[],[f175]) ).

fof(f340,plain,
    ! [X0,X1] :
      ( ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
      | ~ l1_pre_topc(X0)
      | v3_struct_0(X0)
      | ~ v3_tex_2(X1,X0)
      | v1_tsp_1(X1,X0) ),
    inference(cnf_transformation,[],[f127]) ).

fof(f127,plain,
    ! [X0] :
      ( ~ l1_pre_topc(X0)
      | v3_struct_0(X0)
      | ! [X1] :
          ( ~ v3_tex_2(X1,X0)
          | v1_tsp_1(X1,X0)
          | ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) ) ),
    inference(flattening,[],[f126]) ).

fof(f126,plain,
    ! [X0] :
      ( ! [X1] :
          ( v1_tsp_1(X1,X0)
          | ~ v3_tex_2(X1,X0)
          | ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) )
      | ~ l1_pre_topc(X0)
      | v3_struct_0(X0) ),
    inference(ennf_transformation,[],[f54]) ).

fof(f54,axiom,
    ! [X0] :
      ( ( l1_pre_topc(X0)
        & ~ v3_struct_0(X0) )
     => ! [X1] :
          ( m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
         => ( v3_tex_2(X1,X0)
           => v1_tsp_1(X1,X0) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t11_tsp_1) ).

fof(f793,plain,
    v3_tex_2(k1_xboole_0,sK18),
    inference(subsumption_resolution,[],[f792,f338]) ).

fof(f792,plain,
    ( v3_struct_0(sK18)
    | v3_tex_2(k1_xboole_0,sK18) ),
    inference(subsumption_resolution,[],[f790,f336]) ).

fof(f336,plain,
    v2_pre_topc(sK18),
    inference(cnf_transformation,[],[f197]) ).

fof(f790,plain,
    ( ~ v2_pre_topc(sK18)
    | v3_struct_0(sK18)
    | v3_tex_2(k1_xboole_0,sK18) ),
    inference(resolution,[],[f645,f335]) ).

fof(f645,plain,
    ! [X3] :
      ( ~ l1_pre_topc(X3)
      | ~ v2_pre_topc(X3)
      | v3_struct_0(X3)
      | v3_tex_2(k1_xboole_0,X3) ),
    inference(backward_demodulation,[],[f599,f607]) ).

fof(f599,plain,
    ! [X3] :
      ( v3_struct_0(X3)
      | v3_tex_2(sK10(u1_struct_0(X3)),X3)
      | ~ l1_pre_topc(X3)
      | ~ v2_pre_topc(X3) ),
    inference(subsumption_resolution,[],[f593,f258]) ).

fof(f593,plain,
    ! [X3] :
      ( ~ v2_pre_topc(X3)
      | v3_tex_2(sK10(u1_struct_0(X3)),X3)
      | ~ v1_xboole_0(sK10(u1_struct_0(X3)))
      | v3_struct_0(X3)
      | ~ l1_pre_topc(X3) ),
    inference(resolution,[],[f339,f257]) ).

fof(f339,plain,
    ! [X0,X1] :
      ( ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
      | ~ l1_pre_topc(X0)
      | ~ v2_pre_topc(X0)
      | ~ v1_xboole_0(X1)
      | v3_struct_0(X0)
      | v3_tex_2(X1,X0) ),
    inference(cnf_transformation,[],[f134]) ).

fof(f134,plain,
    ! [X0] :
      ( ~ v2_pre_topc(X0)
      | ~ l1_pre_topc(X0)
      | v3_struct_0(X0)
      | ! [X1] :
          ( ~ v1_xboole_0(X1)
          | ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
          | v3_tex_2(X1,X0) ) ),
    inference(flattening,[],[f133]) ).

fof(f133,plain,
    ! [X0] :
      ( ! [X1] :
          ( v3_tex_2(X1,X0)
          | ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
          | ~ v1_xboole_0(X1) )
      | v3_struct_0(X0)
      | ~ v2_pre_topc(X0)
      | ~ l1_pre_topc(X0) ),
    inference(ennf_transformation,[],[f57]) ).

fof(f57,axiom,
    ! [X0] :
      ( ( ~ v3_struct_0(X0)
        & v2_pre_topc(X0)
        & l1_pre_topc(X0) )
     => ! [X1] :
          ( ( m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
            & v1_xboole_0(X1) )
         => v3_tex_2(X1,X0) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t35_tex_2) ).

fof(f933,plain,
    ~ spl21_9,
    inference(avatar_contradiction_clause,[],[f932]) ).

fof(f932,plain,
    ( $false
    | ~ spl21_9 ),
    inference(subsumption_resolution,[],[f931,f807]) ).

fof(f807,plain,
    ( v1_tsp_2(sK14(sK18,k1_xboole_0),sK18)
    | ~ spl21_9 ),
    inference(subsumption_resolution,[],[f806,f338]) ).

fof(f806,plain,
    ( v1_tsp_2(sK14(sK18,k1_xboole_0),sK18)
    | v3_struct_0(sK18)
    | ~ spl21_9 ),
    inference(subsumption_resolution,[],[f805,f336]) ).

fof(f805,plain,
    ( ~ v2_pre_topc(sK18)
    | v3_struct_0(sK18)
    | v1_tsp_2(sK14(sK18,k1_xboole_0),sK18)
    | ~ spl21_9 ),
    inference(subsumption_resolution,[],[f800,f335]) ).

fof(f800,plain,
    ( ~ l1_pre_topc(sK18)
    | ~ v2_pre_topc(sK18)
    | v1_tsp_2(sK14(sK18,k1_xboole_0),sK18)
    | v3_struct_0(sK18)
    | ~ spl21_9 ),
    inference(resolution,[],[f797,f652]) ).

fof(f652,plain,
    ! [X1] :
      ( ~ v1_tsp_1(k1_xboole_0,X1)
      | v3_struct_0(X1)
      | ~ v2_pre_topc(X1)
      | v1_tsp_2(sK14(X1,k1_xboole_0),X1)
      | ~ l1_pre_topc(X1) ),
    inference(forward_demodulation,[],[f642,f607]) ).

fof(f642,plain,
    ! [X1] :
      ( v3_struct_0(X1)
      | v1_tsp_2(sK14(X1,k1_xboole_0),X1)
      | ~ v1_tsp_1(sK10(u1_struct_0(X1)),X1)
      | ~ v2_pre_topc(X1)
      | ~ l1_pre_topc(X1) ),
    inference(backward_demodulation,[],[f406,f607]) ).

fof(f406,plain,
    ! [X1] :
      ( v1_tsp_2(sK14(X1,sK10(u1_struct_0(X1))),X1)
      | ~ v2_pre_topc(X1)
      | ~ v1_tsp_1(sK10(u1_struct_0(X1)),X1)
      | ~ l1_pre_topc(X1)
      | v3_struct_0(X1) ),
    inference(resolution,[],[f294,f257]) ).

fof(f294,plain,
    ! [X0,X1] :
      ( ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
      | ~ v2_pre_topc(X0)
      | ~ v1_tsp_1(X1,X0)
      | v1_tsp_2(sK14(X0,X1),X0)
      | ~ l1_pre_topc(X0)
      | v3_struct_0(X0) ),
    inference(cnf_transformation,[],[f186]) ).

fof(f186,plain,
    ! [X0] :
      ( ~ l1_pre_topc(X0)
      | ~ v2_pre_topc(X0)
      | ! [X1] :
          ( ( m1_subset_1(sK14(X0,X1),k1_zfmisc_1(u1_struct_0(X0)))
            & v1_tsp_2(sK14(X0,X1),X0)
            & r1_tarski(X1,sK14(X0,X1)) )
          | ~ v1_tsp_1(X1,X0)
          | ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) )
      | v3_struct_0(X0) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK14])],[f130,f185]) ).

fof(f185,plain,
    ! [X0,X1] :
      ( ? [X2] :
          ( m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X0)))
          & v1_tsp_2(X2,X0)
          & r1_tarski(X1,X2) )
     => ( m1_subset_1(sK14(X0,X1),k1_zfmisc_1(u1_struct_0(X0)))
        & v1_tsp_2(sK14(X0,X1),X0)
        & r1_tarski(X1,sK14(X0,X1)) ) ),
    introduced(choice_axiom,[]) ).

fof(f130,plain,
    ! [X0] :
      ( ~ l1_pre_topc(X0)
      | ~ v2_pre_topc(X0)
      | ! [X1] :
          ( ? [X2] :
              ( m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X0)))
              & v1_tsp_2(X2,X0)
              & r1_tarski(X1,X2) )
          | ~ v1_tsp_1(X1,X0)
          | ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) )
      | v3_struct_0(X0) ),
    inference(flattening,[],[f129]) ).

fof(f129,plain,
    ! [X0] :
      ( ! [X1] :
          ( ~ v1_tsp_1(X1,X0)
          | ? [X2] :
              ( r1_tarski(X1,X2)
              & v1_tsp_2(X2,X0)
              & m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X0))) )
          | ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) )
      | v3_struct_0(X0)
      | ~ v2_pre_topc(X0)
      | ~ l1_pre_topc(X0) ),
    inference(ennf_transformation,[],[f64]) ).

fof(f64,axiom,
    ! [X0] :
      ( ( ~ v3_struct_0(X0)
        & v2_pre_topc(X0)
        & l1_pre_topc(X0) )
     => ! [X1] :
          ( m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
         => ~ ( v1_tsp_1(X1,X0)
              & ! [X2] :
                  ( m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X0)))
                 => ~ ( r1_tarski(X1,X2)
                      & v1_tsp_2(X2,X0) ) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t9_tsp_2) ).

fof(f797,plain,
    ( v1_tsp_1(k1_xboole_0,sK18)
    | ~ spl21_9 ),
    inference(forward_demodulation,[],[f588,f607]) ).

fof(f588,plain,
    ( v1_tsp_1(sK10(sF19),sK18)
    | ~ spl21_9 ),
    inference(avatar_component_clause,[],[f586]) ).

fof(f931,plain,
    ( ~ v1_tsp_2(sK14(sK18,k1_xboole_0),sK18)
    | ~ spl21_9 ),
    inference(resolution,[],[f819,f343]) ).

fof(f343,plain,
    ! [X1] :
      ( ~ m1_subset_1(X1,sF20)
      | ~ v1_tsp_2(X1,sK18) ),
    inference(definition_folding,[],[f337,f342,f341]) ).

fof(f341,plain,
    u1_struct_0(sK18) = sF19,
    introduced(function_definition,[]) ).

fof(f342,plain,
    k1_zfmisc_1(sF19) = sF20,
    introduced(function_definition,[]) ).

fof(f337,plain,
    ! [X1] :
      ( ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(sK18)))
      | ~ v1_tsp_2(X1,sK18) ),
    inference(cnf_transformation,[],[f197]) ).

fof(f819,plain,
    ( m1_subset_1(sK14(sK18,k1_xboole_0),sF20)
    | ~ spl21_9 ),
    inference(backward_demodulation,[],[f818,f342]) ).

fof(f818,plain,
    ( m1_subset_1(sK14(sK18,k1_xboole_0),k1_zfmisc_1(sF19))
    | ~ spl21_9 ),
    inference(forward_demodulation,[],[f810,f341]) ).

fof(f810,plain,
    ( m1_subset_1(sK14(sK18,k1_xboole_0),k1_zfmisc_1(u1_struct_0(sK18)))
    | ~ spl21_9 ),
    inference(subsumption_resolution,[],[f809,f338]) ).

fof(f809,plain,
    ( m1_subset_1(sK14(sK18,k1_xboole_0),k1_zfmisc_1(u1_struct_0(sK18)))
    | v3_struct_0(sK18)
    | ~ spl21_9 ),
    inference(subsumption_resolution,[],[f808,f335]) ).

fof(f808,plain,
    ( ~ l1_pre_topc(sK18)
    | m1_subset_1(sK14(sK18,k1_xboole_0),k1_zfmisc_1(u1_struct_0(sK18)))
    | v3_struct_0(sK18)
    | ~ spl21_9 ),
    inference(subsumption_resolution,[],[f799,f336]) ).

fof(f799,plain,
    ( ~ v2_pre_topc(sK18)
    | v3_struct_0(sK18)
    | ~ l1_pre_topc(sK18)
    | m1_subset_1(sK14(sK18,k1_xboole_0),k1_zfmisc_1(u1_struct_0(sK18)))
    | ~ spl21_9 ),
    inference(resolution,[],[f797,f650]) ).

fof(f650,plain,
    ! [X1] :
      ( ~ v1_tsp_1(k1_xboole_0,X1)
      | v3_struct_0(X1)
      | ~ v2_pre_topc(X1)
      | m1_subset_1(sK14(X1,k1_xboole_0),k1_zfmisc_1(u1_struct_0(X1)))
      | ~ l1_pre_topc(X1) ),
    inference(forward_demodulation,[],[f643,f607]) ).

fof(f643,plain,
    ! [X1] :
      ( ~ l1_pre_topc(X1)
      | m1_subset_1(sK14(X1,sK10(u1_struct_0(X1))),k1_zfmisc_1(u1_struct_0(X1)))
      | ~ v1_tsp_1(k1_xboole_0,X1)
      | v3_struct_0(X1)
      | ~ v2_pre_topc(X1) ),
    inference(backward_demodulation,[],[f423,f607]) ).

fof(f423,plain,
    ! [X1] :
      ( ~ v1_tsp_1(sK10(u1_struct_0(X1)),X1)
      | ~ v2_pre_topc(X1)
      | v3_struct_0(X1)
      | ~ l1_pre_topc(X1)
      | m1_subset_1(sK14(X1,sK10(u1_struct_0(X1))),k1_zfmisc_1(u1_struct_0(X1))) ),
    inference(resolution,[],[f295,f257]) ).

fof(f295,plain,
    ! [X0,X1] :
      ( ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
      | ~ l1_pre_topc(X0)
      | ~ v2_pre_topc(X0)
      | v3_struct_0(X0)
      | m1_subset_1(sK14(X0,X1),k1_zfmisc_1(u1_struct_0(X0)))
      | ~ v1_tsp_1(X1,X0) ),
    inference(cnf_transformation,[],[f186]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.01/0.12  % Problem    : TOP028+1 : TPTP v8.1.0. Released v3.4.0.
% 0.12/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.33  % Computer : n016.cluster.edu
% 0.13/0.33  % Model    : x86_64 x86_64
% 0.13/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33  % Memory   : 8042.1875MB
% 0.13/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33  % CPULimit   : 300
% 0.13/0.33  % WCLimit    : 300
% 0.13/0.33  % DateTime   : Mon Aug 29 14:57:29 EDT 2022
% 0.19/0.34  % CPUTime    : 
% 0.19/0.47  % (22047)ott+11_1:1_drc=off:nwc=5.0:slsq=on:slsqc=1:spb=goal_then_units:to=lpo:i=467:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/467Mi)
% 0.19/0.47  % (22031)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.19/0.47  % (22031)Instruction limit reached!
% 0.19/0.47  % (22031)------------------------------
% 0.19/0.47  % (22031)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.47  % (22031)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.47  % (22031)Termination reason: Unknown
% 0.19/0.47  % (22031)Termination phase: Saturation
% 0.19/0.47  
% 0.19/0.47  % (22031)Memory used [KB]: 5628
% 0.19/0.47  % (22031)Time elapsed: 0.072 s
% 0.19/0.47  % (22031)Instructions burned: 7 (million)
% 0.19/0.47  % (22031)------------------------------
% 0.19/0.47  % (22031)------------------------------
% 0.19/0.50  % (22029)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/48Mi)
% 0.19/0.50  % (22028)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.51  % (22034)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.19/0.51  % (22038)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 0.19/0.51  % (22046)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=498:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/498Mi)
% 0.19/0.52  % (22025)ott+10_1:32_abs=on:br=off:urr=ec_only:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.19/0.52  % (22024)fmb+10_1:1_bce=on:fmbsr=1.5:nm=4:skr=on:i=191324:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/191324Mi)
% 0.19/0.52  % (22039)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=75:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/75Mi)
% 0.19/0.52  % (22035)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.19/0.52  % (22033)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.52  % (22026)ott+4_1:1_av=off:bd=off:nwc=5.0:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.19/0.53  % (22048)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.19/0.53  % (22030)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.53  % (22032)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.19/0.53  % (22032)Instruction limit reached!
% 0.19/0.53  % (22032)------------------------------
% 0.19/0.53  % (22032)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.53  % (22032)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.53  % (22032)Termination reason: Unknown
% 0.19/0.53  % (22032)Termination phase: shuffling
% 0.19/0.53  
% 0.19/0.53  % (22032)Memory used [KB]: 1023
% 0.19/0.53  % (22032)Time elapsed: 0.002 s
% 0.19/0.53  % (22032)Instructions burned: 2 (million)
% 0.19/0.53  % (22032)------------------------------
% 0.19/0.53  % (22032)------------------------------
% 0.19/0.53  % (22044)ott+10_1:8_bsd=on:fsd=on:lcm=predicate:nwc=5.0:s2a=on:s2at=1.5:spb=goal_then_units:i=176:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/176Mi)
% 0.19/0.53  % (22027)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.53  % (22037)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.19/0.53  % (22040)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.19/0.53  % (22049)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.19/0.54  % (22052)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.19/0.54  % (22045)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.19/0.54  % (22050)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 0.19/0.54  % (22025)Refutation not found, incomplete strategy% (22025)------------------------------
% 0.19/0.54  % (22025)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.54  % (22041)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 0.19/0.54  % (22025)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.54  % (22025)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.54  
% 0.19/0.54  % (22025)Memory used [KB]: 5628
% 0.19/0.54  % (22025)Time elapsed: 0.147 s
% 0.19/0.54  % (22025)Instructions burned: 10 (million)
% 0.19/0.54  % (22025)------------------------------
% 0.19/0.54  % (22025)------------------------------
% 0.19/0.54  % (22051)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=177:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/177Mi)
% 0.19/0.54  % (22036)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.19/0.54  % (22053)ott+10_7:2_awrs=decay:awrsf=8:bd=preordered:drc=off:fd=preordered:fde=unused:fsr=off:slsq=on:slsqc=2:slsqr=5,8:sp=const_min:spb=units:to=lpo:i=355:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/355Mi)
% 0.19/0.54  % (22042)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.19/0.54  % (22043)ott+4_1:1_av=off:bd=off:nwc=5.0:rp=on:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.19/0.55  TRYING [1]
% 0.19/0.55  TRYING [2]
% 0.19/0.55  TRYING [3]
% 0.19/0.55  TRYING [1]
% 0.19/0.55  TRYING [2]
% 0.19/0.55  % (22028)First to succeed.
% 0.19/0.55  TRYING [3]
% 0.19/0.55  % (22028)Refutation found. Thanks to Tanya!
% 0.19/0.55  % SZS status Theorem for theBenchmark
% 0.19/0.55  % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.55  % (22028)------------------------------
% 0.19/0.55  % (22028)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.55  % (22028)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.55  % (22028)Termination reason: Refutation
% 0.19/0.55  
% 0.19/0.55  % (22028)Memory used [KB]: 5756
% 0.19/0.55  % (22028)Time elapsed: 0.160 s
% 0.19/0.55  % (22028)Instructions burned: 20 (million)
% 0.19/0.55  % (22028)------------------------------
% 0.19/0.55  % (22028)------------------------------
% 0.19/0.55  % (22023)Success in time 0.208 s
%------------------------------------------------------------------------------