TSTP Solution File: LAT362+1 by SnakeForV---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : LAT362+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_uns --cores 0 -t %d %s

% Computer : n027.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 17:35:11 EDT 2022

% Result   : Theorem 1.45s 0.55s
% Output   : Refutation 1.45s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   15
%            Number of leaves      :   13
% Syntax   : Number of formulae    :   72 (  20 unt;   0 def)
%            Number of atoms       :  327 (   0 equ)
%            Maximal formula atoms :   14 (   4 avg)
%            Number of connectives :  365 ( 110   ~;  98   |; 131   &)
%                                         (   8 <=>;  18  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   16 (   5 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :   32 (  31 usr;   6 prp; 0-3 aty)
%            Number of functors    :    4 (   4 usr;   1 con; 0-1 aty)
%            Number of variables   :   47 (  43   !;   4   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f783,plain,
    $false,
    inference(avatar_sat_refutation,[],[f677,f678,f778,f780,f781,f782]) ).

fof(f782,plain,
    spl31_3,
    inference(avatar_split_clause,[],[f536,f553]) ).

fof(f553,plain,
    ( spl31_3
  <=> l2_altcat_1(k5_waybel34(sK16)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl31_3])]) ).

fof(f536,plain,
    l2_altcat_1(k5_waybel34(sK16)),
    inference(unit_resulting_resolution,[],[f499,f441]) ).

fof(f441,plain,
    ! [X0] :
      ( v1_xboole_0(X0)
      | l2_altcat_1(k5_waybel34(X0)) ),
    inference(cnf_transformation,[],[f207]) ).

fof(f207,plain,
    ! [X0] :
      ( v1_xboole_0(X0)
      | ( v11_altcat_1(k5_waybel34(X0))
        & l2_altcat_1(k5_waybel34(X0))
        & v2_altcat_1(k5_waybel34(X0))
        & v6_altcat_1(k5_waybel34(X0))
        & ~ v3_struct_0(k5_waybel34(X0))
        & v2_yellow21(k5_waybel34(X0))
        & v12_altcat_1(k5_waybel34(X0)) ) ),
    inference(ennf_transformation,[],[f46]) ).

fof(f46,axiom,
    ! [X0] :
      ( ~ v1_xboole_0(X0)
     => ( v11_altcat_1(k5_waybel34(X0))
        & l2_altcat_1(k5_waybel34(X0))
        & v2_altcat_1(k5_waybel34(X0))
        & v6_altcat_1(k5_waybel34(X0))
        & ~ v3_struct_0(k5_waybel34(X0))
        & v2_yellow21(k5_waybel34(X0))
        & v12_altcat_1(k5_waybel34(X0)) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k5_waybel34) ).

fof(f499,plain,
    ~ v1_xboole_0(sK16),
    inference(unit_resulting_resolution,[],[f413,f353]) ).

fof(f353,plain,
    ! [X0] :
      ( ~ v1_xboole_0(X0)
      | v2_setfam_1(X0) ),
    inference(cnf_transformation,[],[f304]) ).

fof(f304,plain,
    ! [X0] :
      ( v2_setfam_1(X0)
      | ~ v1_xboole_0(X0) ),
    inference(ennf_transformation,[],[f28]) ).

fof(f28,axiom,
    ! [X0] :
      ( ~ v2_setfam_1(X0)
     => ~ v1_xboole_0(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cc2_setfam_1) ).

fof(f413,plain,
    ~ v2_setfam_1(sK16),
    inference(cnf_transformation,[],[f206]) ).

fof(f206,plain,
    ? [X0] :
      ( ~ v2_setfam_1(X0)
      & ~ r2_functor0(k4_waybel34(X0),k5_waybel34(X0)) ),
    inference(ennf_transformation,[],[f2]) ).

fof(f2,negated_conjecture,
    ~ ! [X0] :
        ( ~ v2_setfam_1(X0)
       => r2_functor0(k4_waybel34(X0),k5_waybel34(X0)) ),
    inference(negated_conjecture,[],[f1]) ).

fof(f1,conjecture,
    ! [X0] :
      ( ~ v2_setfam_1(X0)
     => r2_functor0(k4_waybel34(X0),k5_waybel34(X0)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t20_waybel34) ).

fof(f781,plain,
    spl31_5,
    inference(avatar_split_clause,[],[f535,f561]) ).

fof(f561,plain,
    ( spl31_5
  <=> v2_altcat_1(k5_waybel34(sK16)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl31_5])]) ).

fof(f535,plain,
    v2_altcat_1(k5_waybel34(sK16)),
    inference(unit_resulting_resolution,[],[f499,f440]) ).

fof(f440,plain,
    ! [X0] :
      ( v2_altcat_1(k5_waybel34(X0))
      | v1_xboole_0(X0) ),
    inference(cnf_transformation,[],[f207]) ).

fof(f780,plain,
    ~ spl31_2,
    inference(avatar_split_clause,[],[f533,f549]) ).

fof(f549,plain,
    ( spl31_2
  <=> v3_struct_0(k5_waybel34(sK16)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl31_2])]) ).

fof(f533,plain,
    ~ v3_struct_0(k5_waybel34(sK16)),
    inference(unit_resulting_resolution,[],[f499,f438]) ).

fof(f438,plain,
    ! [X0] :
      ( ~ v3_struct_0(k5_waybel34(X0))
      | v1_xboole_0(X0) ),
    inference(cnf_transformation,[],[f207]) ).

fof(f778,plain,
    spl31_1,
    inference(avatar_split_clause,[],[f531,f545]) ).

fof(f545,plain,
    ( spl31_1
  <=> v12_altcat_1(k5_waybel34(sK16)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl31_1])]) ).

fof(f531,plain,
    v12_altcat_1(k5_waybel34(sK16)),
    inference(unit_resulting_resolution,[],[f499,f436]) ).

fof(f436,plain,
    ! [X0] :
      ( v12_altcat_1(k5_waybel34(X0))
      | v1_xboole_0(X0) ),
    inference(cnf_transformation,[],[f207]) ).

fof(f678,plain,
    spl31_8,
    inference(avatar_split_clause,[],[f524,f582]) ).

fof(f582,plain,
    ( spl31_8
  <=> l2_altcat_1(k4_waybel34(sK16)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl31_8])]) ).

fof(f524,plain,
    l2_altcat_1(k4_waybel34(sK16)),
    inference(unit_resulting_resolution,[],[f499,f348]) ).

fof(f348,plain,
    ! [X0] :
      ( v1_xboole_0(X0)
      | l2_altcat_1(k4_waybel34(X0)) ),
    inference(cnf_transformation,[],[f267]) ).

fof(f267,plain,
    ! [X0] :
      ( ( l2_altcat_1(k4_waybel34(X0))
        & v12_altcat_1(k4_waybel34(X0))
        & v11_altcat_1(k4_waybel34(X0))
        & ~ v3_struct_0(k4_waybel34(X0))
        & v2_altcat_1(k4_waybel34(X0))
        & v6_altcat_1(k4_waybel34(X0))
        & v2_yellow21(k4_waybel34(X0)) )
      | v1_xboole_0(X0) ),
    inference(ennf_transformation,[],[f45]) ).

fof(f45,axiom,
    ! [X0] :
      ( ~ v1_xboole_0(X0)
     => ( l2_altcat_1(k4_waybel34(X0))
        & v12_altcat_1(k4_waybel34(X0))
        & v11_altcat_1(k4_waybel34(X0))
        & ~ v3_struct_0(k4_waybel34(X0))
        & v2_altcat_1(k4_waybel34(X0))
        & v6_altcat_1(k4_waybel34(X0))
        & v2_yellow21(k4_waybel34(X0)) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k4_waybel34) ).

fof(f677,plain,
    ( ~ spl31_5
    | ~ spl31_1
    | ~ spl31_3
    | ~ spl31_8
    | spl31_2 ),
    inference(avatar_split_clause,[],[f676,f549,f582,f553,f545,f561]) ).

fof(f676,plain,
    ( v3_struct_0(k5_waybel34(sK16))
    | ~ l2_altcat_1(k4_waybel34(sK16))
    | ~ l2_altcat_1(k5_waybel34(sK16))
    | ~ v12_altcat_1(k5_waybel34(sK16))
    | ~ v2_altcat_1(k5_waybel34(sK16)) ),
    inference(subsumption_resolution,[],[f675,f505]) ).

fof(f505,plain,
    ~ v3_struct_0(k4_waybel34(sK16)),
    inference(unit_resulting_resolution,[],[f413,f426]) ).

fof(f426,plain,
    ! [X0] :
      ( ~ v3_struct_0(k4_waybel34(X0))
      | v2_setfam_1(X0) ),
    inference(cnf_transformation,[],[f245]) ).

fof(f245,plain,
    ! [X0] :
      ( v2_setfam_1(X0)
      | ( v3_yellow21(k4_waybel34(X0))
        & v1_altcat_2(k4_waybel34(X0))
        & v12_altcat_1(k4_waybel34(X0))
        & v2_yellow21(k4_waybel34(X0))
        & v6_altcat_1(k4_waybel34(X0))
        & ~ v3_struct_0(k4_waybel34(X0))
        & v2_altcat_1(k4_waybel34(X0))
        & v11_altcat_1(k4_waybel34(X0)) ) ),
    inference(ennf_transformation,[],[f168]) ).

fof(f168,plain,
    ! [X0] :
      ( ~ v2_setfam_1(X0)
     => ( v3_yellow21(k4_waybel34(X0))
        & v1_altcat_2(k4_waybel34(X0))
        & v12_altcat_1(k4_waybel34(X0))
        & v2_yellow21(k4_waybel34(X0))
        & v6_altcat_1(k4_waybel34(X0))
        & ~ v3_struct_0(k4_waybel34(X0))
        & v2_altcat_1(k4_waybel34(X0))
        & v11_altcat_1(k4_waybel34(X0)) ) ),
    inference(pure_predicate_removal,[],[f164]) ).

fof(f164,plain,
    ! [X0] :
      ( ~ v2_setfam_1(X0)
     => ( v2_yellow21(k4_waybel34(X0))
        & v2_altcat_1(k4_waybel34(X0))
        & v3_yellow21(k4_waybel34(X0))
        & v6_altcat_1(k4_waybel34(X0))
        & v11_altcat_1(k4_waybel34(X0))
        & v12_altcat_1(k4_waybel34(X0))
        & v1_altcat_2(k4_waybel34(X0))
        & v9_altcat_1(k4_waybel34(X0))
        & ~ v3_struct_0(k4_waybel34(X0)) ) ),
    inference(pure_predicate_removal,[],[f160]) ).

fof(f160,plain,
    ! [X0] :
      ( ~ v2_setfam_1(X0)
     => ( v2_yellow21(k4_waybel34(X0))
        & v2_altcat_1(k4_waybel34(X0))
        & v3_yellow21(k4_waybel34(X0))
        & v6_altcat_1(k4_waybel34(X0))
        & v11_altcat_1(k4_waybel34(X0))
        & v12_altcat_1(k4_waybel34(X0))
        & v1_altcat_2(k4_waybel34(X0))
        & v2_yellow18(k4_waybel34(X0))
        & v9_altcat_1(k4_waybel34(X0))
        & ~ v3_struct_0(k4_waybel34(X0)) ) ),
    inference(pure_predicate_removal,[],[f156]) ).

fof(f156,plain,
    ! [X0] :
      ( ~ v2_setfam_1(X0)
     => ( v2_yellow21(k4_waybel34(X0))
        & v2_altcat_1(k4_waybel34(X0))
        & v3_yellow21(k4_waybel34(X0))
        & v6_altcat_1(k4_waybel34(X0))
        & v11_altcat_1(k4_waybel34(X0))
        & v12_altcat_1(k4_waybel34(X0))
        & v1_altcat_2(k4_waybel34(X0))
        & v3_yellow18(k4_waybel34(X0))
        & v2_yellow18(k4_waybel34(X0))
        & v9_altcat_1(k4_waybel34(X0))
        & ~ v3_struct_0(k4_waybel34(X0)) ) ),
    inference(pure_predicate_removal,[],[f152]) ).

fof(f152,plain,
    ! [X0] :
      ( ~ v2_setfam_1(X0)
     => ( v2_yellow21(k4_waybel34(X0))
        & v2_altcat_1(k4_waybel34(X0))
        & v3_yellow21(k4_waybel34(X0))
        & v6_altcat_1(k4_waybel34(X0))
        & v11_altcat_1(k4_waybel34(X0))
        & v12_altcat_1(k4_waybel34(X0))
        & v1_altcat_2(k4_waybel34(X0))
        & v3_yellow18(k4_waybel34(X0))
        & v2_yellow18(k4_waybel34(X0))
        & v9_altcat_1(k4_waybel34(X0))
        & ~ v3_struct_0(k4_waybel34(X0))
        & v4_yellow18(k4_waybel34(X0)) ) ),
    inference(pure_predicate_removal,[],[f80]) ).

fof(f80,axiom,
    ! [X0] :
      ( ~ v2_setfam_1(X0)
     => ( v2_yellow21(k4_waybel34(X0))
        & v2_altcat_1(k4_waybel34(X0))
        & v1_yellow21(k4_waybel34(X0))
        & v3_yellow21(k4_waybel34(X0))
        & v6_altcat_1(k4_waybel34(X0))
        & v11_altcat_1(k4_waybel34(X0))
        & v12_altcat_1(k4_waybel34(X0))
        & v1_altcat_2(k4_waybel34(X0))
        & v3_yellow18(k4_waybel34(X0))
        & v2_yellow18(k4_waybel34(X0))
        & v9_altcat_1(k4_waybel34(X0))
        & ~ v3_struct_0(k4_waybel34(X0))
        & v4_yellow18(k4_waybel34(X0)) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc5_waybel34) ).

fof(f675,plain,
    ( ~ v12_altcat_1(k5_waybel34(sK16))
    | v3_struct_0(k5_waybel34(sK16))
    | ~ v2_altcat_1(k5_waybel34(sK16))
    | ~ l2_altcat_1(k5_waybel34(sK16))
    | ~ l2_altcat_1(k4_waybel34(sK16))
    | v3_struct_0(k4_waybel34(sK16)) ),
    inference(subsumption_resolution,[],[f674,f508]) ).

fof(f508,plain,
    v12_altcat_1(k4_waybel34(sK16)),
    inference(unit_resulting_resolution,[],[f413,f429]) ).

fof(f429,plain,
    ! [X0] :
      ( v12_altcat_1(k4_waybel34(X0))
      | v2_setfam_1(X0) ),
    inference(cnf_transformation,[],[f245]) ).

fof(f674,plain,
    ( ~ l2_altcat_1(k4_waybel34(sK16))
    | ~ v2_altcat_1(k5_waybel34(sK16))
    | ~ v12_altcat_1(k5_waybel34(sK16))
    | ~ v12_altcat_1(k4_waybel34(sK16))
    | ~ l2_altcat_1(k5_waybel34(sK16))
    | v3_struct_0(k4_waybel34(sK16))
    | v3_struct_0(k5_waybel34(sK16)) ),
    inference(subsumption_resolution,[],[f673,f504]) ).

fof(f504,plain,
    v2_altcat_1(k4_waybel34(sK16)),
    inference(unit_resulting_resolution,[],[f413,f425]) ).

fof(f425,plain,
    ! [X0] :
      ( v2_altcat_1(k4_waybel34(X0))
      | v2_setfam_1(X0) ),
    inference(cnf_transformation,[],[f245]) ).

fof(f673,plain,
    ( ~ l2_altcat_1(k5_waybel34(sK16))
    | ~ v2_altcat_1(k4_waybel34(sK16))
    | v3_struct_0(k4_waybel34(sK16))
    | v3_struct_0(k5_waybel34(sK16))
    | ~ l2_altcat_1(k4_waybel34(sK16))
    | ~ v2_altcat_1(k5_waybel34(sK16))
    | ~ v12_altcat_1(k5_waybel34(sK16))
    | ~ v12_altcat_1(k4_waybel34(sK16)) ),
    inference(subsumption_resolution,[],[f672,f502]) ).

fof(f502,plain,
    v16_functor0(k6_waybel34(sK16),k4_waybel34(sK16),k5_waybel34(sK16)),
    inference(unit_resulting_resolution,[],[f413,f407]) ).

fof(f407,plain,
    ! [X0] :
      ( v16_functor0(k6_waybel34(X0),k4_waybel34(X0),k5_waybel34(X0))
      | v2_setfam_1(X0) ),
    inference(cnf_transformation,[],[f248]) ).

fof(f248,plain,
    ! [X0] :
      ( v2_setfam_1(X0)
      | ( v16_functor0(k6_waybel34(X0),k4_waybel34(X0),k5_waybel34(X0))
        & m2_functor0(k6_waybel34(X0),k4_waybel34(X0),k5_waybel34(X0))
        & v9_functor0(k6_waybel34(X0),k4_waybel34(X0),k5_waybel34(X0)) ) ),
    inference(ennf_transformation,[],[f47]) ).

fof(f47,axiom,
    ! [X0] :
      ( ~ v2_setfam_1(X0)
     => ( v16_functor0(k6_waybel34(X0),k4_waybel34(X0),k5_waybel34(X0))
        & m2_functor0(k6_waybel34(X0),k4_waybel34(X0),k5_waybel34(X0))
        & v9_functor0(k6_waybel34(X0),k4_waybel34(X0),k5_waybel34(X0)) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k6_waybel34) ).

fof(f672,plain,
    ( v3_struct_0(k5_waybel34(sK16))
    | ~ v16_functor0(k6_waybel34(sK16),k4_waybel34(sK16),k5_waybel34(sK16))
    | ~ v2_altcat_1(k5_waybel34(sK16))
    | v3_struct_0(k4_waybel34(sK16))
    | ~ l2_altcat_1(k5_waybel34(sK16))
    | ~ v2_altcat_1(k4_waybel34(sK16))
    | ~ l2_altcat_1(k4_waybel34(sK16))
    | ~ v12_altcat_1(k4_waybel34(sK16))
    | ~ v12_altcat_1(k5_waybel34(sK16)) ),
    inference(subsumption_resolution,[],[f671,f501]) ).

fof(f501,plain,
    m2_functor0(k6_waybel34(sK16),k4_waybel34(sK16),k5_waybel34(sK16)),
    inference(unit_resulting_resolution,[],[f413,f406]) ).

fof(f406,plain,
    ! [X0] :
      ( m2_functor0(k6_waybel34(X0),k4_waybel34(X0),k5_waybel34(X0))
      | v2_setfam_1(X0) ),
    inference(cnf_transformation,[],[f248]) ).

fof(f671,plain,
    ( v3_struct_0(k5_waybel34(sK16))
    | ~ m2_functor0(k6_waybel34(sK16),k4_waybel34(sK16),k5_waybel34(sK16))
    | ~ l2_altcat_1(k5_waybel34(sK16))
    | ~ v2_altcat_1(k4_waybel34(sK16))
    | ~ v12_altcat_1(k5_waybel34(sK16))
    | ~ l2_altcat_1(k4_waybel34(sK16))
    | ~ v2_altcat_1(k5_waybel34(sK16))
    | ~ v12_altcat_1(k4_waybel34(sK16))
    | ~ v16_functor0(k6_waybel34(sK16),k4_waybel34(sK16),k5_waybel34(sK16))
    | v3_struct_0(k4_waybel34(sK16)) ),
    inference(subsumption_resolution,[],[f670,f412]) ).

fof(f412,plain,
    ~ r2_functor0(k4_waybel34(sK16),k5_waybel34(sK16)),
    inference(cnf_transformation,[],[f206]) ).

fof(f670,plain,
    ( ~ l2_altcat_1(k5_waybel34(sK16))
    | ~ v12_altcat_1(k5_waybel34(sK16))
    | r2_functor0(k4_waybel34(sK16),k5_waybel34(sK16))
    | v3_struct_0(k4_waybel34(sK16))
    | ~ v16_functor0(k6_waybel34(sK16),k4_waybel34(sK16),k5_waybel34(sK16))
    | ~ m2_functor0(k6_waybel34(sK16),k4_waybel34(sK16),k5_waybel34(sK16))
    | v3_struct_0(k5_waybel34(sK16))
    | ~ v2_altcat_1(k5_waybel34(sK16))
    | ~ v12_altcat_1(k4_waybel34(sK16))
    | ~ v2_altcat_1(k4_waybel34(sK16))
    | ~ l2_altcat_1(k4_waybel34(sK16)) ),
    inference(resolution,[],[f517,f356]) ).

fof(f356,plain,
    ! [X2,X0,X1] :
      ( ~ v21_functor0(X2,X0,X1)
      | r2_functor0(X0,X1)
      | v3_struct_0(X1)
      | ~ v16_functor0(X2,X0,X1)
      | ~ v12_altcat_1(X1)
      | ~ l2_altcat_1(X1)
      | ~ v2_altcat_1(X0)
      | ~ v12_altcat_1(X0)
      | v3_struct_0(X0)
      | ~ l2_altcat_1(X0)
      | ~ m2_functor0(X2,X0,X1)
      | ~ v2_altcat_1(X1) ),
    inference(cnf_transformation,[],[f233]) ).

fof(f233,plain,
    ! [X0] :
      ( v3_struct_0(X0)
      | ~ l2_altcat_1(X0)
      | ! [X1] :
          ( v3_struct_0(X1)
          | ( ? [X2] :
                ( v21_functor0(X2,X0,X1)
                & m2_functor0(X2,X0,X1)
                & v16_functor0(X2,X0,X1) )
          <=> r2_functor0(X0,X1) )
          | ~ l2_altcat_1(X1)
          | ~ v12_altcat_1(X1)
          | ~ v2_altcat_1(X1) )
      | ~ v2_altcat_1(X0)
      | ~ v12_altcat_1(X0) ),
    inference(flattening,[],[f232]) ).

fof(f232,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( ? [X2] :
                ( v21_functor0(X2,X0,X1)
                & m2_functor0(X2,X0,X1)
                & v16_functor0(X2,X0,X1) )
          <=> r2_functor0(X0,X1) )
          | ~ v2_altcat_1(X1)
          | ~ v12_altcat_1(X1)
          | v3_struct_0(X1)
          | ~ l2_altcat_1(X1) )
      | ~ v2_altcat_1(X0)
      | v3_struct_0(X0)
      | ~ v12_altcat_1(X0)
      | ~ l2_altcat_1(X0) ),
    inference(ennf_transformation,[],[f36]) ).

fof(f36,axiom,
    ! [X0] :
      ( ( v2_altcat_1(X0)
        & ~ v3_struct_0(X0)
        & v12_altcat_1(X0)
        & l2_altcat_1(X0) )
     => ! [X1] :
          ( ( v2_altcat_1(X1)
            & v12_altcat_1(X1)
            & ~ v3_struct_0(X1)
            & l2_altcat_1(X1) )
         => ( ? [X2] :
                ( v21_functor0(X2,X0,X1)
                & m2_functor0(X2,X0,X1)
                & v16_functor0(X2,X0,X1) )
          <=> r2_functor0(X0,X1) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d41_functor0) ).

fof(f517,plain,
    v21_functor0(k6_waybel34(sK16),k4_waybel34(sK16),k5_waybel34(sK16)),
    inference(unit_resulting_resolution,[],[f413,f460]) ).

fof(f460,plain,
    ! [X0] :
      ( v21_functor0(k6_waybel34(X0),k4_waybel34(X0),k5_waybel34(X0))
      | v2_setfam_1(X0) ),
    inference(cnf_transformation,[],[f220]) ).

fof(f220,plain,
    ! [X0] :
      ( ( v21_functor0(k6_waybel34(X0),k4_waybel34(X0),k5_waybel34(X0))
        & v11_functor0(k6_waybel34(X0),k4_waybel34(X0),k5_waybel34(X0))
        & v14_functor0(k6_waybel34(X0),k4_waybel34(X0),k5_waybel34(X0))
        & v9_functor0(k6_waybel34(X0),k4_waybel34(X0),k5_waybel34(X0))
        & v16_functor0(k6_waybel34(X0),k4_waybel34(X0),k5_waybel34(X0)) )
      | v2_setfam_1(X0) ),
    inference(ennf_transformation,[],[f183]) ).

fof(f183,plain,
    ! [X0] :
      ( ~ v2_setfam_1(X0)
     => ( v21_functor0(k6_waybel34(X0),k4_waybel34(X0),k5_waybel34(X0))
        & v11_functor0(k6_waybel34(X0),k4_waybel34(X0),k5_waybel34(X0))
        & v14_functor0(k6_waybel34(X0),k4_waybel34(X0),k5_waybel34(X0))
        & v9_functor0(k6_waybel34(X0),k4_waybel34(X0),k5_waybel34(X0))
        & v16_functor0(k6_waybel34(X0),k4_waybel34(X0),k5_waybel34(X0)) ) ),
    inference(pure_predicate_removal,[],[f175]) ).

fof(f175,plain,
    ! [X0] :
      ( ~ v2_setfam_1(X0)
     => ( v9_functor0(k6_waybel34(X0),k4_waybel34(X0),k5_waybel34(X0))
        & v14_functor0(k6_waybel34(X0),k4_waybel34(X0),k5_waybel34(X0))
        & v21_functor0(k6_waybel34(X0),k4_waybel34(X0),k5_waybel34(X0))
        & v8_functor0(k6_waybel34(X0),k4_waybel34(X0),k5_waybel34(X0))
        & v11_functor0(k6_waybel34(X0),k4_waybel34(X0),k5_waybel34(X0))
        & v16_functor0(k6_waybel34(X0),k4_waybel34(X0),k5_waybel34(X0)) ) ),
    inference(pure_predicate_removal,[],[f147]) ).

fof(f147,plain,
    ! [X0] :
      ( ~ v2_setfam_1(X0)
     => ( v9_functor0(k6_waybel34(X0),k4_waybel34(X0),k5_waybel34(X0))
        & v14_functor0(k6_waybel34(X0),k4_waybel34(X0),k5_waybel34(X0))
        & v21_functor0(k6_waybel34(X0),k4_waybel34(X0),k5_waybel34(X0))
        & v12_functor0(k6_waybel34(X0),k4_waybel34(X0),k5_waybel34(X0))
        & v8_functor0(k6_waybel34(X0),k4_waybel34(X0),k5_waybel34(X0))
        & v11_functor0(k6_waybel34(X0),k4_waybel34(X0),k5_waybel34(X0))
        & v16_functor0(k6_waybel34(X0),k4_waybel34(X0),k5_waybel34(X0)) ) ),
    inference(pure_predicate_removal,[],[f84]) ).

fof(f84,axiom,
    ! [X0] :
      ( ~ v2_setfam_1(X0)
     => ( v9_functor0(k6_waybel34(X0),k4_waybel34(X0),k5_waybel34(X0))
        & v14_functor0(k6_waybel34(X0),k4_waybel34(X0),k5_waybel34(X0))
        & v21_functor0(k6_waybel34(X0),k4_waybel34(X0),k5_waybel34(X0))
        & v12_functor0(k6_waybel34(X0),k4_waybel34(X0),k5_waybel34(X0))
        & v6_functor0(k6_waybel34(X0),k4_waybel34(X0),k5_waybel34(X0))
        & v8_functor0(k6_waybel34(X0),k4_waybel34(X0),k5_waybel34(X0))
        & v11_functor0(k6_waybel34(X0),k4_waybel34(X0),k5_waybel34(X0))
        & v16_functor0(k6_waybel34(X0),k4_waybel34(X0),k5_waybel34(X0)) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc7_waybel34) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12  % Problem    : LAT362+1 : TPTP v8.1.0. Released v3.4.0.
% 0.04/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.13/0.34  % Computer : n027.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   : Tue Aug 30 01:33:30 EDT 2022
% 0.13/0.34  % CPUTime    : 
% 0.20/0.50  % (17688)dis+1002_1:12_drc=off:fd=preordered:tgt=full:i=99978:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99978Mi)
% 0.20/0.51  % (17696)dis+10_1:1_newcnf=on:sgt=8:sos=on:ss=axioms:to=lpo:urr=on:i=49:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/49Mi)
% 0.20/0.52  % (17689)lrs+10_1:1_gsp=on:sd=1:sgt=32:sos=on:ss=axioms:i=13:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/13Mi)
% 0.20/0.52  % (17693)dis+21_1:1_av=off:sos=on:sp=frequency:ss=included:to=lpo:i=15:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/15Mi)
% 0.20/0.52  % (17696)First to succeed.
% 0.20/0.52  % (17690)dis+1002_1:1_aac=none:bd=off:sac=on:sos=on:spb=units:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.20/0.53  % (17689)Refutation not found, incomplete strategy% (17689)------------------------------
% 0.20/0.53  % (17689)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.53  % (17689)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.53  % (17689)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.53  
% 0.20/0.53  % (17689)Memory used [KB]: 6140
% 0.20/0.53  % (17689)Time elapsed: 0.116 s
% 0.20/0.53  % (17689)Instructions burned: 2 (million)
% 0.20/0.53  % (17689)------------------------------
% 0.20/0.53  % (17689)------------------------------
% 0.20/0.53  % (17716)dis+21_1:1_aac=none:abs=on:er=known:fde=none:fsr=off:nwc=5.0:s2a=on:s2at=4.0:sp=const_frequency:to=lpo:urr=ec_only:i=25:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/25Mi)
% 0.20/0.53  % (17690)Instruction limit reached!
% 0.20/0.53  % (17690)------------------------------
% 0.20/0.53  % (17690)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.53  % (17690)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.53  % (17690)Termination reason: Unknown
% 0.20/0.53  % (17690)Termination phase: Preprocessing 3
% 0.20/0.53  
% 0.20/0.53  % (17690)Memory used [KB]: 1663
% 0.20/0.53  % (17690)Time elapsed: 0.006 s
% 0.20/0.53  % (17690)Instructions burned: 4 (million)
% 0.20/0.53  % (17690)------------------------------
% 0.20/0.53  % (17690)------------------------------
% 0.20/0.53  % (17710)ott+21_1:1_erd=off:s2a=on:sac=on:sd=1:sgt=64:sos=on:ss=included:st=3.0:to=lpo:urr=on:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.20/0.53  % (17695)lrs+2_1:1_lcm=reverse:lma=on:sos=all:spb=goal_then_units:ss=included:urr=on:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/39Mi)
% 0.20/0.53  % (17692)lrs+10_1:1024_nm=0:nwc=5.0:ss=axioms:i=13:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/13Mi)
% 0.20/0.53  % (17704)lrs+10_1:1_drc=off:sp=reverse_frequency:spb=goal:to=lpo:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.20/0.53  % (17706)fmb+10_1:1_nm=2:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.20/0.53  % (17705)lrs+1011_1:1_fd=preordered:fsd=on:sos=on:thsq=on:thsqc=64:thsqd=32:uwa=ground:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.20/0.53  % (17706)Instruction limit reached!
% 0.20/0.53  % (17706)------------------------------
% 0.20/0.53  % (17706)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.53  % (17717)dis+2_3:1_aac=none:abs=on:ep=R:lcm=reverse:nwc=10.0:sos=on:sp=const_frequency:spb=units:urr=ec_only:i=8:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/8Mi)
% 0.20/0.54  % (17699)lrs+10_1:1_ep=R:lcm=predicate:lma=on:sos=all:spb=goal:ss=included:i=12:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/12Mi)
% 0.20/0.54  % (17706)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.54  % (17706)Termination reason: Unknown
% 0.20/0.54  % (17706)Termination phase: Naming
% 0.20/0.54  % (17691)lrs+10_5:1_br=off:fde=none:nwc=3.0:sd=1:sgt=10:sos=on:ss=axioms:urr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.54  
% 0.20/0.54  % (17706)Memory used [KB]: 1663
% 0.20/0.54  % (17706)Time elapsed: 0.004 s
% 0.20/0.54  % (17706)Instructions burned: 4 (million)
% 0.20/0.54  % (17706)------------------------------
% 0.20/0.54  % (17706)------------------------------
% 0.20/0.54  % (17713)dis+21_1:1_ep=RS:nwc=10.0:s2a=on:s2at=1.5:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.20/0.54  % (17707)ott+1010_1:1_sd=2:sos=on:sp=occurrence:ss=axioms:urr=on:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.20/0.54  % (17708)dis-10_3:2_amm=sco:ep=RS:fsr=off:nm=10:sd=2:sos=on:ss=axioms:st=3.0:i=11:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/11Mi)
% 0.20/0.54  % (17718)lrs-11_1:1_nm=0:sac=on:sd=4:ss=axioms:st=3.0:i=24:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/24Mi)
% 0.20/0.54  % (17708)Refutation not found, incomplete strategy% (17708)------------------------------
% 0.20/0.54  % (17708)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.54  % (17698)lrs+10_1:1_br=off:sos=on:ss=axioms:st=2.0:urr=on:i=33:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/33Mi)
% 1.45/0.54  % (17694)dis+1010_1:50_awrs=decay:awrsf=128:nwc=10.0:s2pl=no:sp=frequency:ss=axioms:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/39Mi)
% 1.45/0.54  % (17693)Refutation not found, incomplete strategy% (17693)------------------------------
% 1.45/0.54  % (17693)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.45/0.54  % (17715)lrs+1011_1:1_fd=preordered:fsd=on:sos=on:thsq=on:thsqc=64:thsqd=32:uwa=ground:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 1.45/0.54  % (17701)lrs+10_1:4_av=off:bs=unit_only:bsr=unit_only:ep=RS:s2a=on:sos=on:sp=frequency:to=lpo:i=16:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/16Mi)
% 1.45/0.54  % (17712)dis+10_1:1_av=off:sos=on:sp=reverse_arity:ss=included:st=2.0:to=lpo:urr=ec_only:i=45:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/45Mi)
% 1.45/0.55  % (17692)Refutation not found, incomplete strategy% (17692)------------------------------
% 1.45/0.55  % (17692)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.45/0.55  % (17714)lrs+11_1:1_plsq=on:plsqc=1:plsqr=32,1:ss=included:i=95:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/95Mi)
% 1.45/0.55  % (17692)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.45/0.55  % (17692)Termination reason: Refutation not found, incomplete strategy
% 1.45/0.55  
% 1.45/0.55  % (17692)Memory used [KB]: 6012
% 1.45/0.55  % (17692)Time elapsed: 0.137 s
% 1.45/0.55  % (17692)Instructions burned: 2 (million)
% 1.45/0.55  % (17692)------------------------------
% 1.45/0.55  % (17692)------------------------------
% 1.45/0.55  % (17700)lrs+10_1:2_br=off:nm=4:ss=included:urr=on:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 1.45/0.55  % (17699)Instruction limit reached!
% 1.45/0.55  % (17699)------------------------------
% 1.45/0.55  % (17699)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.45/0.55  % (17699)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.45/0.55  % (17702)lrs+10_1:32_br=off:nm=16:sd=2:ss=axioms:st=2.0:urr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.45/0.55  % (17699)Termination reason: Unknown
% 1.45/0.55  % (17699)Termination phase: Saturation
% 1.45/0.55  
% 1.45/0.55  % (17699)Memory used [KB]: 6396
% 1.45/0.55  % (17699)Time elapsed: 0.107 s
% 1.45/0.55  % (17699)Instructions burned: 12 (million)
% 1.45/0.55  % (17699)------------------------------
% 1.45/0.55  % (17699)------------------------------
% 1.45/0.55  % (17711)dis+1010_2:3_fs=off:fsr=off:nm=0:nwc=5.0:s2a=on:s2agt=32:i=82:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/82Mi)
% 1.45/0.55  % (17696)Refutation found. Thanks to Tanya!
% 1.45/0.55  % SZS status Theorem for theBenchmark
% 1.45/0.55  % SZS output start Proof for theBenchmark
% See solution above
% 1.45/0.55  % (17696)------------------------------
% 1.45/0.55  % (17696)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.45/0.55  % (17696)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.45/0.55  % (17696)Termination reason: Refutation
% 1.45/0.55  
% 1.45/0.55  % (17696)Memory used [KB]: 6652
% 1.45/0.55  % (17696)Time elapsed: 0.111 s
% 1.45/0.55  % (17696)Instructions burned: 17 (million)
% 1.45/0.55  % (17696)------------------------------
% 1.45/0.55  % (17696)------------------------------
% 1.45/0.55  % (17683)Success in time 0.197 s
%------------------------------------------------------------------------------