TSTP Solution File: SYN036+2 by SnakeForV---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : SYN036+2 : TPTP v8.1.0. Released v2.0.0.
% 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 : n029.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 19:25:14 EDT 2022

% Result   : Theorem 1.30s 0.56s
% Output   : Refutation 1.30s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :   57
% Syntax   : Number of formulae    :  185 (   1 unt;   0 def)
%            Number of atoms       :  776 (   0 equ)
%            Maximal formula atoms :   34 (   4 avg)
%            Number of connectives :  947 ( 356   ~; 417   |;  83   &)
%                                         (  65 <=>;  24  =>;   0  <=;   2 <~>)
%            Maximal formula depth :   10 (   4 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :   35 (  34 usr;  33 prp; 0-1 aty)
%            Number of functors    :   24 (  24 usr;  20 con; 0-1 aty)
%            Number of variables   :  264 ( 172   !;  92   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f311,plain,
    $false,
    inference(avatar_sat_refutation,[],[f103,f114,f137,f154,f181,f183,f190,f205,f206,f207,f208,f209,f213,f224,f225,f226,f227,f228,f232,f234,f236,f239,f241,f247,f250,f255,f256,f258,f261,f269,f270,f272,f275,f278,f280,f284,f286,f289,f301,f308,f310]) ).

fof(f310,plain,
    ( ~ spl26_19
    | ~ spl26_21 ),
    inference(avatar_contradiction_clause,[],[f309]) ).

fof(f309,plain,
    ( $false
    | ~ spl26_19
    | ~ spl26_21 ),
    inference(subsumption_resolution,[],[f153,f144]) ).

fof(f144,plain,
    ( ! [X21] : ~ big_p(X21)
    | ~ spl26_19 ),
    inference(avatar_component_clause,[],[f143]) ).

fof(f143,plain,
    ( spl26_19
  <=> ! [X21] : ~ big_p(X21) ),
    introduced(avatar_definition,[new_symbols(naming,[spl26_19])]) ).

fof(f153,plain,
    ( big_p(sK13)
    | ~ spl26_21 ),
    inference(avatar_component_clause,[],[f151]) ).

fof(f151,plain,
    ( spl26_21
  <=> big_p(sK13) ),
    introduced(avatar_definition,[new_symbols(naming,[spl26_21])]) ).

fof(f308,plain,
    ( ~ spl26_9
    | ~ spl26_22 ),
    inference(avatar_contradiction_clause,[],[f307]) ).

fof(f307,plain,
    ( $false
    | ~ spl26_9
    | ~ spl26_22 ),
    inference(subsumption_resolution,[],[f306,f106]) ).

fof(f106,plain,
    ( ! [X4] : big_q(X4)
    | ~ spl26_9 ),
    inference(avatar_component_clause,[],[f105]) ).

fof(f105,plain,
    ( spl26_9
  <=> ! [X4] : big_q(X4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl26_9])]) ).

fof(f306,plain,
    ( ! [X16] : ~ big_q(sK10(X16))
    | ~ spl26_9
    | ~ spl26_22 ),
    inference(subsumption_resolution,[],[f157,f106]) ).

fof(f157,plain,
    ( ! [X16] :
        ( ~ big_q(X16)
        | ~ big_q(sK10(X16)) )
    | ~ spl26_22 ),
    inference(avatar_component_clause,[],[f156]) ).

fof(f156,plain,
    ( spl26_22
  <=> ! [X16] :
        ( ~ big_q(sK10(X16))
        | ~ big_q(X16) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl26_22])]) ).

fof(f301,plain,
    ( ~ spl26_19
    | ~ spl26_27 ),
    inference(avatar_contradiction_clause,[],[f300]) ).

fof(f300,plain,
    ( $false
    | ~ spl26_19
    | ~ spl26_27 ),
    inference(subsumption_resolution,[],[f178,f144]) ).

fof(f178,plain,
    ( big_p(sK19)
    | ~ spl26_27 ),
    inference(avatar_component_clause,[],[f177]) ).

fof(f177,plain,
    ( spl26_27
  <=> big_p(sK19) ),
    introduced(avatar_definition,[new_symbols(naming,[spl26_27])]) ).

fof(f289,plain,
    ( ~ spl26_17
    | ~ spl26_32 ),
    inference(avatar_contradiction_clause,[],[f288]) ).

fof(f288,plain,
    ( $false
    | ~ spl26_17
    | ~ spl26_32 ),
    inference(subsumption_resolution,[],[f287,f136]) ).

fof(f136,plain,
    ( ! [X5] : big_p(X5)
    | ~ spl26_17 ),
    inference(avatar_component_clause,[],[f135]) ).

fof(f135,plain,
    ( spl26_17
  <=> ! [X5] : big_p(X5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl26_17])]) ).

fof(f287,plain,
    ( ! [X16] : ~ big_p(sK22(X16))
    | ~ spl26_17
    | ~ spl26_32 ),
    inference(subsumption_resolution,[],[f212,f136]) ).

fof(f212,plain,
    ( ! [X16] :
        ( ~ big_p(X16)
        | ~ big_p(sK22(X16)) )
    | ~ spl26_32 ),
    inference(avatar_component_clause,[],[f211]) ).

fof(f211,plain,
    ( spl26_32
  <=> ! [X16] :
        ( ~ big_p(sK22(X16))
        | ~ big_p(X16) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl26_32])]) ).

fof(f286,plain,
    ( ~ spl26_17
    | spl26_31 ),
    inference(avatar_contradiction_clause,[],[f285]) ).

fof(f285,plain,
    ( $false
    | ~ spl26_17
    | spl26_31 ),
    inference(subsumption_resolution,[],[f201,f136]) ).

fof(f201,plain,
    ( ~ big_p(sK6)
    | spl26_31 ),
    inference(avatar_component_clause,[],[f200]) ).

fof(f200,plain,
    ( spl26_31
  <=> big_p(sK6) ),
    introduced(avatar_definition,[new_symbols(naming,[spl26_31])]) ).

fof(f284,plain,
    ( ~ spl26_17
    | spl26_27 ),
    inference(avatar_contradiction_clause,[],[f283]) ).

fof(f283,plain,
    ( $false
    | ~ spl26_17
    | spl26_27 ),
    inference(subsumption_resolution,[],[f179,f136]) ).

fof(f179,plain,
    ( ~ big_p(sK19)
    | spl26_27 ),
    inference(avatar_component_clause,[],[f177]) ).

fof(f280,plain,
    ( ~ spl26_8
    | ~ spl26_14 ),
    inference(avatar_contradiction_clause,[],[f279]) ).

fof(f279,plain,
    ( $false
    | ~ spl26_8
    | ~ spl26_14 ),
    inference(subsumption_resolution,[],[f125,f102]) ).

fof(f102,plain,
    ( ! [X2] : ~ big_q(X2)
    | ~ spl26_8 ),
    inference(avatar_component_clause,[],[f101]) ).

fof(f101,plain,
    ( spl26_8
  <=> ! [X2] : ~ big_q(X2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl26_8])]) ).

fof(f125,plain,
    ( big_q(sK20)
    | ~ spl26_14 ),
    inference(avatar_component_clause,[],[f123]) ).

fof(f123,plain,
    ( spl26_14
  <=> big_q(sK20) ),
    introduced(avatar_definition,[new_symbols(naming,[spl26_14])]) ).

fof(f278,plain,
    ( ~ spl26_2
    | ~ spl26_8 ),
    inference(avatar_contradiction_clause,[],[f277]) ).

fof(f277,plain,
    ( $false
    | ~ spl26_2
    | ~ spl26_8 ),
    inference(subsumption_resolution,[],[f276,f102]) ).

fof(f276,plain,
    ( ! [X16] : big_q(X16)
    | ~ spl26_2
    | ~ spl26_8 ),
    inference(subsumption_resolution,[],[f79,f102]) ).

fof(f79,plain,
    ( ! [X16] :
        ( big_q(X16)
        | big_q(sK10(X16)) )
    | ~ spl26_2 ),
    inference(avatar_component_clause,[],[f78]) ).

fof(f78,plain,
    ( spl26_2
  <=> ! [X16] :
        ( big_q(X16)
        | big_q(sK10(X16)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl26_2])]) ).

fof(f275,plain,
    ( ~ spl26_16
    | ~ spl26_19 ),
    inference(avatar_contradiction_clause,[],[f274]) ).

fof(f274,plain,
    ( $false
    | ~ spl26_16
    | ~ spl26_19 ),
    inference(subsumption_resolution,[],[f273,f144]) ).

fof(f273,plain,
    ( ! [X0] : big_p(sK14(X0))
    | ~ spl26_16
    | ~ spl26_19 ),
    inference(subsumption_resolution,[],[f133,f144]) ).

fof(f133,plain,
    ( ! [X0] :
        ( big_p(X0)
        | big_p(sK14(X0)) )
    | ~ spl26_16 ),
    inference(avatar_component_clause,[],[f132]) ).

fof(f132,plain,
    ( spl26_16
  <=> ! [X0] :
        ( big_p(sK14(X0))
        | big_p(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl26_16])]) ).

fof(f272,plain,
    ( ~ spl26_8
    | ~ spl26_10 ),
    inference(avatar_contradiction_clause,[],[f271]) ).

fof(f271,plain,
    ( $false
    | ~ spl26_8
    | ~ spl26_10 ),
    inference(subsumption_resolution,[],[f262,f102]) ).

fof(f262,plain,
    ( ! [X0] : big_q(X0)
    | ~ spl26_8
    | ~ spl26_10 ),
    inference(resolution,[],[f102,f109]) ).

fof(f109,plain,
    ( ! [X0] :
        ( big_q(sK2(X0))
        | big_q(X0) )
    | ~ spl26_10 ),
    inference(avatar_component_clause,[],[f108]) ).

fof(f108,plain,
    ( spl26_10
  <=> ! [X0] :
        ( big_q(X0)
        | big_q(sK2(X0)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl26_10])]) ).

fof(f270,plain,
    ( ~ spl26_8
    | ~ spl26_28 ),
    inference(avatar_contradiction_clause,[],[f266]) ).

fof(f266,plain,
    ( $false
    | ~ spl26_8
    | ~ spl26_28 ),
    inference(resolution,[],[f102,f189]) ).

fof(f189,plain,
    ( big_q(sK25)
    | ~ spl26_28 ),
    inference(avatar_component_clause,[],[f187]) ).

fof(f187,plain,
    ( spl26_28
  <=> big_q(sK25) ),
    introduced(avatar_definition,[new_symbols(naming,[spl26_28])]) ).

fof(f269,plain,
    ( ~ spl26_8
    | ~ spl26_15 ),
    inference(avatar_contradiction_clause,[],[f265]) ).

fof(f265,plain,
    ( $false
    | ~ spl26_8
    | ~ spl26_15 ),
    inference(resolution,[],[f102,f130]) ).

fof(f130,plain,
    ( big_q(sK16)
    | ~ spl26_15 ),
    inference(avatar_component_clause,[],[f128]) ).

fof(f128,plain,
    ( spl26_15
  <=> big_q(sK16) ),
    introduced(avatar_definition,[new_symbols(naming,[spl26_15])]) ).

fof(f261,plain,
    ( ~ spl26_13
    | ~ spl26_19 ),
    inference(avatar_contradiction_clause,[],[f260]) ).

fof(f260,plain,
    ( $false
    | ~ spl26_13
    | ~ spl26_19 ),
    inference(subsumption_resolution,[],[f259,f144]) ).

fof(f259,plain,
    ( ! [X16] : big_p(X16)
    | ~ spl26_13
    | ~ spl26_19 ),
    inference(subsumption_resolution,[],[f121,f144]) ).

fof(f121,plain,
    ( ! [X16] :
        ( big_p(sK22(X16))
        | big_p(X16) )
    | ~ spl26_13 ),
    inference(avatar_component_clause,[],[f120]) ).

fof(f120,plain,
    ( spl26_13
  <=> ! [X16] :
        ( big_p(X16)
        | big_p(sK22(X16)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl26_13])]) ).

fof(f258,plain,
    ( ~ spl26_19
    | ~ spl26_31 ),
    inference(avatar_contradiction_clause,[],[f257]) ).

fof(f257,plain,
    ( $false
    | ~ spl26_19
    | ~ spl26_31 ),
    inference(subsumption_resolution,[],[f202,f144]) ).

fof(f202,plain,
    ( big_p(sK6)
    | ~ spl26_31 ),
    inference(avatar_component_clause,[],[f200]) ).

fof(f256,plain,
    ( ~ spl26_3
    | ~ spl26_19 ),
    inference(avatar_contradiction_clause,[],[f251]) ).

fof(f251,plain,
    ( $false
    | ~ spl26_3
    | ~ spl26_19 ),
    inference(resolution,[],[f144,f83]) ).

fof(f83,plain,
    ( big_p(sK8)
    | ~ spl26_3 ),
    inference(avatar_component_clause,[],[f81]) ).

fof(f81,plain,
    ( spl26_3
  <=> big_p(sK8) ),
    introduced(avatar_definition,[new_symbols(naming,[spl26_3])]) ).

fof(f255,plain,
    ( ~ spl26_11
    | ~ spl26_19 ),
    inference(avatar_contradiction_clause,[],[f253]) ).

fof(f253,plain,
    ( $false
    | ~ spl26_11
    | ~ spl26_19 ),
    inference(resolution,[],[f144,f113]) ).

fof(f113,plain,
    ( big_p(sK4)
    | ~ spl26_11 ),
    inference(avatar_component_clause,[],[f111]) ).

fof(f111,plain,
    ( spl26_11
  <=> big_p(sK4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl26_11])]) ).

fof(f250,plain,
    ( ~ spl26_9
    | ~ spl26_33 ),
    inference(avatar_contradiction_clause,[],[f249]) ).

fof(f249,plain,
    ( $false
    | ~ spl26_9
    | ~ spl26_33 ),
    inference(subsumption_resolution,[],[f248,f106]) ).

fof(f248,plain,
    ( ! [X0] : ~ big_q(sK2(X0))
    | ~ spl26_9
    | ~ spl26_33 ),
    inference(subsumption_resolution,[],[f216,f106]) ).

fof(f216,plain,
    ( ! [X0] :
        ( ~ big_q(sK2(X0))
        | ~ big_q(X0) )
    | ~ spl26_33 ),
    inference(avatar_component_clause,[],[f215]) ).

fof(f215,plain,
    ( spl26_33
  <=> ! [X0] :
        ( ~ big_q(X0)
        | ~ big_q(sK2(X0)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl26_33])]) ).

fof(f247,plain,
    ( spl26_12
    | ~ spl26_17 ),
    inference(avatar_contradiction_clause,[],[f246]) ).

fof(f246,plain,
    ( $false
    | spl26_12
    | ~ spl26_17 ),
    inference(subsumption_resolution,[],[f118,f136]) ).

fof(f118,plain,
    ( ~ big_p(sK21)
    | spl26_12 ),
    inference(avatar_component_clause,[],[f116]) ).

fof(f116,plain,
    ( spl26_12
  <=> big_p(sK21) ),
    introduced(avatar_definition,[new_symbols(naming,[spl26_12])]) ).

fof(f241,plain,
    ( ~ spl26_9
    | spl26_34 ),
    inference(avatar_contradiction_clause,[],[f240]) ).

fof(f240,plain,
    ( $false
    | ~ spl26_9
    | spl26_34 ),
    inference(subsumption_resolution,[],[f221,f106]) ).

fof(f221,plain,
    ( ~ big_q(sK3)
    | spl26_34 ),
    inference(avatar_component_clause,[],[f219]) ).

fof(f219,plain,
    ( spl26_34
  <=> big_q(sK3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl26_34])]) ).

fof(f239,plain,
    ( ~ spl26_7
    | ~ spl26_17 ),
    inference(avatar_contradiction_clause,[],[f238]) ).

fof(f238,plain,
    ( $false
    | ~ spl26_7
    | ~ spl26_17 ),
    inference(subsumption_resolution,[],[f237,f136]) ).

fof(f237,plain,
    ( ! [X0] : ~ big_p(X0)
    | ~ spl26_7
    | ~ spl26_17 ),
    inference(subsumption_resolution,[],[f99,f136]) ).

fof(f99,plain,
    ( ! [X0] :
        ( ~ big_p(X0)
        | ~ big_p(sK14(X0)) )
    | ~ spl26_7 ),
    inference(avatar_component_clause,[],[f98]) ).

fof(f98,plain,
    ( spl26_7
  <=> ! [X0] :
        ( ~ big_p(sK14(X0))
        | ~ big_p(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl26_7])]) ).

fof(f236,plain,
    ( spl26_5
    | ~ spl26_17 ),
    inference(avatar_contradiction_clause,[],[f235]) ).

fof(f235,plain,
    ( $false
    | spl26_5
    | ~ spl26_17 ),
    inference(resolution,[],[f136,f92]) ).

fof(f92,plain,
    ( ~ big_p(sK15)
    | spl26_5 ),
    inference(avatar_component_clause,[],[f90]) ).

fof(f90,plain,
    ( spl26_5
  <=> big_p(sK15) ),
    introduced(avatar_definition,[new_symbols(naming,[spl26_5])]) ).

fof(f234,plain,
    ( spl26_1
    | ~ spl26_9 ),
    inference(avatar_contradiction_clause,[],[f233]) ).

fof(f233,plain,
    ( $false
    | spl26_1
    | ~ spl26_9 ),
    inference(resolution,[],[f106,f76]) ).

fof(f76,plain,
    ( ~ big_q(sK9)
    | spl26_1 ),
    inference(avatar_component_clause,[],[f74]) ).

fof(f74,plain,
    ( spl26_1
  <=> big_q(sK9) ),
    introduced(avatar_definition,[new_symbols(naming,[spl26_1])]) ).

fof(f232,plain,
    ( ~ spl26_8
    | ~ spl26_9 ),
    inference(avatar_contradiction_clause,[],[f231]) ).

fof(f231,plain,
    ( $false
    | ~ spl26_8
    | ~ spl26_9 ),
    inference(subsumption_resolution,[],[f106,f102]) ).

fof(f228,plain,
    ( ~ spl26_26
    | spl26_8
    | spl26_17
    | spl26_6
    | spl26_17 ),
    inference(avatar_split_clause,[],[f64,f135,f94,f135,f101,f173]) ).

fof(f173,plain,
    ( spl26_26
  <=> big_p(sK17) ),
    introduced(avatar_definition,[new_symbols(naming,[spl26_26])]) ).

fof(f94,plain,
    ( spl26_6
  <=> sP0 ),
    introduced(avatar_definition,[new_symbols(naming,[spl26_6])]) ).

fof(f64,plain,
    ! [X8,X9,X7] :
      ( big_p(X8)
      | sP0
      | big_p(X7)
      | ~ big_q(X9)
      | ~ big_p(sK17) ),
    inference(cnf_transformation,[],[f37]) ).

fof(f37,plain,
    ( ( sP0
      | ( ( ! [X0] :
              ( ( ~ big_p(sK14(X0))
                | ~ big_p(X0) )
              & ( big_p(sK14(X0))
                | big_p(X0) ) )
          | ( ( ! [X2] : ~ big_q(X2)
              | ~ big_p(sK15) )
            & ( big_q(sK16)
              | ! [X5] : big_p(X5) ) ) )
        & ( ! [X7] :
              ( ( big_p(sK17)
                | ~ big_p(X7) )
              & ( big_p(X7)
                | ~ big_p(sK17) ) )
          | ( ( ! [X8] : big_p(X8)
              | ! [X9] : ~ big_q(X9) )
            & ( big_q(sK18)
              | ~ big_p(sK19) ) ) ) ) )
    & ( ( ( ( ( ! [X12] : big_p(X12)
              | ! [X13] : ~ big_q(X13) )
            & ( big_q(sK20)
              | ~ big_p(sK21) ) )
          | ! [X16] :
              ( ( ~ big_p(sK22(X16))
                | ~ big_p(X16) )
              & ( big_p(sK22(X16))
                | big_p(X16) ) ) )
        & ( ! [X19] :
              ( ( big_p(sK23)
                | ~ big_p(X19) )
              & ( big_p(X19)
                | ~ big_p(sK23) ) )
          | ( ( ! [X20] : ~ big_q(X20)
              | ~ big_p(sK24) )
            & ( big_q(sK25)
              | ! [X23] : big_p(X23) ) ) ) )
      | ~ sP0 ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK14,sK15,sK16,sK17,sK18,sK19,sK20,sK21,sK22,sK23,sK24,sK25])],[f24,f36,f35,f34,f33,f32,f31,f30,f29,f28,f27,f26,f25]) ).

fof(f25,plain,
    ! [X0] :
      ( ? [X1] :
          ( ( ~ big_p(X1)
            | ~ big_p(X0) )
          & ( big_p(X1)
            | big_p(X0) ) )
     => ( ( ~ big_p(sK14(X0))
          | ~ big_p(X0) )
        & ( big_p(sK14(X0))
          | big_p(X0) ) ) ),
    introduced(choice_axiom,[]) ).

fof(f26,plain,
    ( ? [X3] : ~ big_p(X3)
   => ~ big_p(sK15) ),
    introduced(choice_axiom,[]) ).

fof(f27,plain,
    ( ? [X4] : big_q(X4)
   => big_q(sK16) ),
    introduced(choice_axiom,[]) ).

fof(f28,plain,
    ( ? [X6] :
      ! [X7] :
        ( ( big_p(X6)
          | ~ big_p(X7) )
        & ( big_p(X7)
          | ~ big_p(X6) ) )
   => ! [X7] :
        ( ( big_p(sK17)
          | ~ big_p(X7) )
        & ( big_p(X7)
          | ~ big_p(sK17) ) ) ),
    introduced(choice_axiom,[]) ).

fof(f29,plain,
    ( ? [X10] : big_q(X10)
   => big_q(sK18) ),
    introduced(choice_axiom,[]) ).

fof(f30,plain,
    ( ? [X11] : ~ big_p(X11)
   => ~ big_p(sK19) ),
    introduced(choice_axiom,[]) ).

fof(f31,plain,
    ( ? [X14] : big_q(X14)
   => big_q(sK20) ),
    introduced(choice_axiom,[]) ).

fof(f32,plain,
    ( ? [X15] : ~ big_p(X15)
   => ~ big_p(sK21) ),
    introduced(choice_axiom,[]) ).

fof(f33,plain,
    ! [X16] :
      ( ? [X17] :
          ( ( ~ big_p(X17)
            | ~ big_p(X16) )
          & ( big_p(X17)
            | big_p(X16) ) )
     => ( ( ~ big_p(sK22(X16))
          | ~ big_p(X16) )
        & ( big_p(sK22(X16))
          | big_p(X16) ) ) ),
    introduced(choice_axiom,[]) ).

fof(f34,plain,
    ( ? [X18] :
      ! [X19] :
        ( ( big_p(X18)
          | ~ big_p(X19) )
        & ( big_p(X19)
          | ~ big_p(X18) ) )
   => ! [X19] :
        ( ( big_p(sK23)
          | ~ big_p(X19) )
        & ( big_p(X19)
          | ~ big_p(sK23) ) ) ),
    introduced(choice_axiom,[]) ).

fof(f35,plain,
    ( ? [X21] : ~ big_p(X21)
   => ~ big_p(sK24) ),
    introduced(choice_axiom,[]) ).

fof(f36,plain,
    ( ? [X22] : big_q(X22)
   => big_q(sK25) ),
    introduced(choice_axiom,[]) ).

fof(f24,plain,
    ( ( sP0
      | ( ( ! [X0] :
            ? [X1] :
              ( ( ~ big_p(X1)
                | ~ big_p(X0) )
              & ( big_p(X1)
                | big_p(X0) ) )
          | ( ( ! [X2] : ~ big_q(X2)
              | ? [X3] : ~ big_p(X3) )
            & ( ? [X4] : big_q(X4)
              | ! [X5] : big_p(X5) ) ) )
        & ( ? [X6] :
            ! [X7] :
              ( ( big_p(X6)
                | ~ big_p(X7) )
              & ( big_p(X7)
                | ~ big_p(X6) ) )
          | ( ( ! [X8] : big_p(X8)
              | ! [X9] : ~ big_q(X9) )
            & ( ? [X10] : big_q(X10)
              | ? [X11] : ~ big_p(X11) ) ) ) ) )
    & ( ( ( ( ( ! [X12] : big_p(X12)
              | ! [X13] : ~ big_q(X13) )
            & ( ? [X14] : big_q(X14)
              | ? [X15] : ~ big_p(X15) ) )
          | ! [X16] :
            ? [X17] :
              ( ( ~ big_p(X17)
                | ~ big_p(X16) )
              & ( big_p(X17)
                | big_p(X16) ) ) )
        & ( ? [X18] :
            ! [X19] :
              ( ( big_p(X18)
                | ~ big_p(X19) )
              & ( big_p(X19)
                | ~ big_p(X18) ) )
          | ( ( ! [X20] : ~ big_q(X20)
              | ? [X21] : ~ big_p(X21) )
            & ( ? [X22] : big_q(X22)
              | ! [X23] : big_p(X23) ) ) ) )
      | ~ sP0 ) ),
    inference(rectify,[],[f23]) ).

fof(f23,plain,
    ( ( sP0
      | ( ( ! [X2] :
            ? [X3] :
              ( ( ~ big_p(X3)
                | ~ big_p(X2) )
              & ( big_p(X3)
                | big_p(X2) ) )
          | ( ( ! [X0] : ~ big_q(X0)
              | ? [X1] : ~ big_p(X1) )
            & ( ? [X0] : big_q(X0)
              | ! [X1] : big_p(X1) ) ) )
        & ( ? [X2] :
            ! [X3] :
              ( ( big_p(X2)
                | ~ big_p(X3) )
              & ( big_p(X3)
                | ~ big_p(X2) ) )
          | ( ( ! [X1] : big_p(X1)
              | ! [X0] : ~ big_q(X0) )
            & ( ? [X0] : big_q(X0)
              | ? [X1] : ~ big_p(X1) ) ) ) ) )
    & ( ( ( ( ( ! [X1] : big_p(X1)
              | ! [X0] : ~ big_q(X0) )
            & ( ? [X0] : big_q(X0)
              | ? [X1] : ~ big_p(X1) ) )
          | ! [X2] :
            ? [X3] :
              ( ( ~ big_p(X3)
                | ~ big_p(X2) )
              & ( big_p(X3)
                | big_p(X2) ) ) )
        & ( ? [X2] :
            ! [X3] :
              ( ( big_p(X2)
                | ~ big_p(X3) )
              & ( big_p(X3)
                | ~ big_p(X2) ) )
          | ( ( ! [X0] : ~ big_q(X0)
              | ? [X1] : ~ big_p(X1) )
            & ( ? [X0] : big_q(X0)
              | ! [X1] : big_p(X1) ) ) ) )
      | ~ sP0 ) ),
    inference(nnf_transformation,[],[f5]) ).

fof(f5,plain,
    ( sP0
  <=> ( ( ! [X1] : big_p(X1)
      <=> ? [X0] : big_q(X0) )
    <=> ? [X2] :
        ! [X3] :
          ( big_p(X2)
        <=> big_p(X3) ) ) ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).

fof(f227,plain,
    ( ~ spl26_34
    | spl26_33
    | spl26_4
    | spl26_19 ),
    inference(avatar_split_clause,[],[f54,f143,f85,f215,f219]) ).

fof(f85,plain,
    ( spl26_4
  <=> sP1 ),
    introduced(avatar_definition,[new_symbols(naming,[spl26_4])]) ).

fof(f54,plain,
    ! [X3,X0] :
      ( ~ big_p(X3)
      | sP1
      | ~ big_q(sK2(X0))
      | ~ big_q(X0)
      | ~ big_q(sK3) ),
    inference(cnf_transformation,[],[f22]) ).

fof(f22,plain,
    ( ( sP1
      | ( ( ! [X0] :
              ( ( ~ big_q(sK2(X0))
                | ~ big_q(X0) )
              & ( big_q(sK2(X0))
                | big_q(X0) ) )
          | ( ( ~ big_q(sK3)
              | ! [X3] : ~ big_p(X3) )
            & ( ! [X4] : big_q(X4)
              | big_p(sK4) ) ) )
        & ( ! [X7] :
              ( ( big_q(sK5)
                | ~ big_q(X7) )
              & ( big_q(X7)
                | ~ big_q(sK5) ) )
          | ( ( big_p(sK6)
              | ~ big_q(sK7) )
            & ( ! [X10] : big_q(X10)
              | ! [X11] : ~ big_p(X11) ) ) ) ) )
    & ( ( ( ( ( big_p(sK8)
              | ~ big_q(sK9) )
            & ( ! [X14] : big_q(X14)
              | ! [X15] : ~ big_p(X15) ) )
          | ! [X16] :
              ( ( ~ big_q(sK10(X16))
                | ~ big_q(X16) )
              & ( big_q(sK10(X16))
                | big_q(X16) ) ) )
        & ( ! [X19] :
              ( ( big_q(sK11)
                | ~ big_q(X19) )
              & ( big_q(X19)
                | ~ big_q(sK11) ) )
          | ( ( ~ big_q(sK12)
              | ! [X21] : ~ big_p(X21) )
            & ( ! [X22] : big_q(X22)
              | big_p(sK13) ) ) ) )
      | ~ sP1 ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK2,sK3,sK4,sK5,sK6,sK7,sK8,sK9,sK10,sK11,sK12,sK13])],[f9,f21,f20,f19,f18,f17,f16,f15,f14,f13,f12,f11,f10]) ).

fof(f10,plain,
    ! [X0] :
      ( ? [X1] :
          ( ( ~ big_q(X1)
            | ~ big_q(X0) )
          & ( big_q(X1)
            | big_q(X0) ) )
     => ( ( ~ big_q(sK2(X0))
          | ~ big_q(X0) )
        & ( big_q(sK2(X0))
          | big_q(X0) ) ) ),
    introduced(choice_axiom,[]) ).

fof(f11,plain,
    ( ? [X2] : ~ big_q(X2)
   => ~ big_q(sK3) ),
    introduced(choice_axiom,[]) ).

fof(f12,plain,
    ( ? [X5] : big_p(X5)
   => big_p(sK4) ),
    introduced(choice_axiom,[]) ).

fof(f13,plain,
    ( ? [X6] :
      ! [X7] :
        ( ( big_q(X6)
          | ~ big_q(X7) )
        & ( big_q(X7)
          | ~ big_q(X6) ) )
   => ! [X7] :
        ( ( big_q(sK5)
          | ~ big_q(X7) )
        & ( big_q(X7)
          | ~ big_q(sK5) ) ) ),
    introduced(choice_axiom,[]) ).

fof(f14,plain,
    ( ? [X8] : big_p(X8)
   => big_p(sK6) ),
    introduced(choice_axiom,[]) ).

fof(f15,plain,
    ( ? [X9] : ~ big_q(X9)
   => ~ big_q(sK7) ),
    introduced(choice_axiom,[]) ).

fof(f16,plain,
    ( ? [X12] : big_p(X12)
   => big_p(sK8) ),
    introduced(choice_axiom,[]) ).

fof(f17,plain,
    ( ? [X13] : ~ big_q(X13)
   => ~ big_q(sK9) ),
    introduced(choice_axiom,[]) ).

fof(f18,plain,
    ! [X16] :
      ( ? [X17] :
          ( ( ~ big_q(X17)
            | ~ big_q(X16) )
          & ( big_q(X17)
            | big_q(X16) ) )
     => ( ( ~ big_q(sK10(X16))
          | ~ big_q(X16) )
        & ( big_q(sK10(X16))
          | big_q(X16) ) ) ),
    introduced(choice_axiom,[]) ).

fof(f19,plain,
    ( ? [X18] :
      ! [X19] :
        ( ( big_q(X18)
          | ~ big_q(X19) )
        & ( big_q(X19)
          | ~ big_q(X18) ) )
   => ! [X19] :
        ( ( big_q(sK11)
          | ~ big_q(X19) )
        & ( big_q(X19)
          | ~ big_q(sK11) ) ) ),
    introduced(choice_axiom,[]) ).

fof(f20,plain,
    ( ? [X20] : ~ big_q(X20)
   => ~ big_q(sK12) ),
    introduced(choice_axiom,[]) ).

fof(f21,plain,
    ( ? [X23] : big_p(X23)
   => big_p(sK13) ),
    introduced(choice_axiom,[]) ).

fof(f9,plain,
    ( ( sP1
      | ( ( ! [X0] :
            ? [X1] :
              ( ( ~ big_q(X1)
                | ~ big_q(X0) )
              & ( big_q(X1)
                | big_q(X0) ) )
          | ( ( ? [X2] : ~ big_q(X2)
              | ! [X3] : ~ big_p(X3) )
            & ( ! [X4] : big_q(X4)
              | ? [X5] : big_p(X5) ) ) )
        & ( ? [X6] :
            ! [X7] :
              ( ( big_q(X6)
                | ~ big_q(X7) )
              & ( big_q(X7)
                | ~ big_q(X6) ) )
          | ( ( ? [X8] : big_p(X8)
              | ? [X9] : ~ big_q(X9) )
            & ( ! [X10] : big_q(X10)
              | ! [X11] : ~ big_p(X11) ) ) ) ) )
    & ( ( ( ( ( ? [X12] : big_p(X12)
              | ? [X13] : ~ big_q(X13) )
            & ( ! [X14] : big_q(X14)
              | ! [X15] : ~ big_p(X15) ) )
          | ! [X16] :
            ? [X17] :
              ( ( ~ big_q(X17)
                | ~ big_q(X16) )
              & ( big_q(X17)
                | big_q(X16) ) ) )
        & ( ? [X18] :
            ! [X19] :
              ( ( big_q(X18)
                | ~ big_q(X19) )
              & ( big_q(X19)
                | ~ big_q(X18) ) )
          | ( ( ? [X20] : ~ big_q(X20)
              | ! [X21] : ~ big_p(X21) )
            & ( ! [X22] : big_q(X22)
              | ? [X23] : big_p(X23) ) ) ) )
      | ~ sP1 ) ),
    inference(rectify,[],[f8]) ).

fof(f8,plain,
    ( ( sP1
      | ( ( ! [X4] :
            ? [X5] :
              ( ( ~ big_q(X5)
                | ~ big_q(X4) )
              & ( big_q(X5)
                | big_q(X4) ) )
          | ( ( ? [X6] : ~ big_q(X6)
              | ! [X7] : ~ big_p(X7) )
            & ( ! [X6] : big_q(X6)
              | ? [X7] : big_p(X7) ) ) )
        & ( ? [X4] :
            ! [X5] :
              ( ( big_q(X4)
                | ~ big_q(X5) )
              & ( big_q(X5)
                | ~ big_q(X4) ) )
          | ( ( ? [X7] : big_p(X7)
              | ? [X6] : ~ big_q(X6) )
            & ( ! [X6] : big_q(X6)
              | ! [X7] : ~ big_p(X7) ) ) ) ) )
    & ( ( ( ( ( ? [X7] : big_p(X7)
              | ? [X6] : ~ big_q(X6) )
            & ( ! [X6] : big_q(X6)
              | ! [X7] : ~ big_p(X7) ) )
          | ! [X4] :
            ? [X5] :
              ( ( ~ big_q(X5)
                | ~ big_q(X4) )
              & ( big_q(X5)
                | big_q(X4) ) ) )
        & ( ? [X4] :
            ! [X5] :
              ( ( big_q(X4)
                | ~ big_q(X5) )
              & ( big_q(X5)
                | ~ big_q(X4) ) )
          | ( ( ? [X6] : ~ big_q(X6)
              | ! [X7] : ~ big_p(X7) )
            & ( ! [X6] : big_q(X6)
              | ? [X7] : big_p(X7) ) ) ) )
      | ~ sP1 ) ),
    inference(nnf_transformation,[],[f6]) ).

fof(f6,plain,
    ( sP1
  <=> ( ( ? [X7] : big_p(X7)
      <=> ! [X6] : big_q(X6) )
    <=> ? [X4] :
        ! [X5] :
          ( big_q(X4)
        <=> big_q(X5) ) ) ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP1])]) ).

fof(f226,plain,
    ( ~ spl26_6
    | spl26_8
    | spl26_13
    | spl26_17 ),
    inference(avatar_split_clause,[],[f61,f135,f120,f101,f94]) ).

fof(f61,plain,
    ! [X16,X12,X13] :
      ( big_p(X12)
      | big_p(X16)
      | big_p(sK22(X16))
      | ~ big_q(X13)
      | ~ sP0 ),
    inference(cnf_transformation,[],[f37]) ).

fof(f225,plain,
    ( spl26_19
    | spl26_9
    | spl26_2
    | ~ spl26_4 ),
    inference(avatar_split_clause,[],[f43,f85,f78,f105,f143]) ).

fof(f43,plain,
    ! [X16,X14,X15] :
      ( ~ sP1
      | big_q(sK10(X16))
      | big_q(X16)
      | big_q(X14)
      | ~ big_p(X15) ),
    inference(cnf_transformation,[],[f22]) ).

fof(f224,plain,
    ( spl26_17
    | spl26_28
    | spl26_19
    | ~ spl26_6
    | spl26_23 ),
    inference(avatar_split_clause,[],[f57,f160,f94,f143,f187,f135]) ).

fof(f160,plain,
    ( spl26_23
  <=> big_p(sK23) ),
    introduced(avatar_definition,[new_symbols(naming,[spl26_23])]) ).

fof(f57,plain,
    ! [X19,X23] :
      ( big_p(sK23)
      | ~ sP0
      | ~ big_p(X19)
      | big_q(sK25)
      | big_p(X23) ),
    inference(cnf_transformation,[],[f37]) ).

fof(f213,plain,
    ( ~ spl26_6
    | ~ spl26_12
    | spl26_14
    | spl26_32 ),
    inference(avatar_split_clause,[],[f60,f211,f123,f116,f94]) ).

fof(f60,plain,
    ! [X16] :
      ( ~ big_p(sK22(X16))
      | big_q(sK20)
      | ~ big_p(sK21)
      | ~ sP0
      | ~ big_p(X16) ),
    inference(cnf_transformation,[],[f37]) ).

fof(f209,plain,
    ( spl26_22
    | ~ spl26_1
    | ~ spl26_4
    | spl26_3 ),
    inference(avatar_split_clause,[],[f46,f81,f85,f74,f156]) ).

fof(f46,plain,
    ! [X16] :
      ( big_p(sK8)
      | ~ sP1
      | ~ big_q(sK9)
      | ~ big_q(sK10(X16))
      | ~ big_q(X16) ),
    inference(cnf_transformation,[],[f22]) ).

fof(f208,plain,
    ( spl26_19
    | spl26_30
    | spl26_8
    | spl26_4
    | spl26_9 ),
    inference(avatar_split_clause,[],[f49,f105,f85,f101,f196,f143]) ).

fof(f196,plain,
    ( spl26_30
  <=> big_q(sK5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl26_30])]) ).

fof(f49,plain,
    ! [X10,X11,X7] :
      ( big_q(X10)
      | sP1
      | ~ big_q(X7)
      | big_q(sK5)
      | ~ big_p(X11) ),
    inference(cnf_transformation,[],[f22]) ).

fof(f207,plain,
    ( ~ spl26_30
    | spl26_9
    | spl26_4
    | spl26_9
    | spl26_19 ),
    inference(avatar_split_clause,[],[f47,f143,f105,f85,f105,f196]) ).

fof(f47,plain,
    ! [X10,X11,X7] :
      ( ~ big_p(X11)
      | big_q(X7)
      | sP1
      | big_q(X10)
      | ~ big_q(sK5) ),
    inference(cnf_transformation,[],[f22]) ).

fof(f206,plain,
    ( spl26_21
    | spl26_8
    | spl26_9
    | spl26_18
    | ~ spl26_4 ),
    inference(avatar_split_clause,[],[f41,f85,f139,f105,f101,f151]) ).

fof(f139,plain,
    ( spl26_18
  <=> big_q(sK11) ),
    introduced(avatar_definition,[new_symbols(naming,[spl26_18])]) ).

fof(f41,plain,
    ! [X19,X22] :
      ( ~ sP1
      | big_q(sK11)
      | big_q(X22)
      | ~ big_q(X19)
      | big_p(sK13) ),
    inference(cnf_transformation,[],[f22]) ).

fof(f205,plain,
    ( spl26_17
    | spl26_8
    | spl26_26
    | spl26_6
    | spl26_19 ),
    inference(avatar_split_clause,[],[f66,f143,f94,f173,f101,f135]) ).

fof(f66,plain,
    ! [X8,X9,X7] :
      ( ~ big_p(X7)
      | sP0
      | big_p(sK17)
      | ~ big_q(X9)
      | big_p(X8) ),
    inference(cnf_transformation,[],[f37]) ).

fof(f190,plain,
    ( ~ spl26_6
    | spl26_17
    | spl26_17
    | ~ spl26_23
    | spl26_28 ),
    inference(avatar_split_clause,[],[f55,f187,f160,f135,f135,f94]) ).

fof(f55,plain,
    ! [X19,X23] :
      ( big_q(sK25)
      | ~ big_p(sK23)
      | big_p(X19)
      | big_p(X23)
      | ~ sP0 ),
    inference(cnf_transformation,[],[f37]) ).

fof(f183,plain,
    ( ~ spl26_4
    | ~ spl26_6 ),
    inference(avatar_split_clause,[],[f72,f94,f85]) ).

fof(f72,plain,
    ( ~ sP0
    | ~ sP1 ),
    inference(cnf_transformation,[],[f38]) ).

fof(f38,plain,
    ( ( ~ sP1
      | ~ sP0 )
    & ( sP1
      | sP0 ) ),
    inference(nnf_transformation,[],[f7]) ).

fof(f7,plain,
    ( sP0
  <~> sP1 ),
    inference(definition_folding,[],[f4,f6,f5]) ).

fof(f4,plain,
    ( ( ( ! [X1] : big_p(X1)
      <=> ? [X0] : big_q(X0) )
    <=> ? [X2] :
        ! [X3] :
          ( big_p(X2)
        <=> big_p(X3) ) )
  <~> ( ( ? [X7] : big_p(X7)
      <=> ! [X6] : big_q(X6) )
    <=> ? [X4] :
        ! [X5] :
          ( big_q(X4)
        <=> big_q(X5) ) ) ),
    inference(ennf_transformation,[],[f3]) ).

fof(f3,plain,
    ~ ( ( ( ! [X1] : big_p(X1)
        <=> ? [X0] : big_q(X0) )
      <=> ? [X2] :
          ! [X3] :
            ( big_p(X2)
          <=> big_p(X3) ) )
    <=> ( ( ? [X7] : big_p(X7)
        <=> ! [X6] : big_q(X6) )
      <=> ? [X4] :
          ! [X5] :
            ( big_q(X4)
          <=> big_q(X5) ) ) ),
    inference(rectify,[],[f2]) ).

fof(f2,negated_conjecture,
    ~ ( ( ( ? [X2] : big_q(X2)
        <=> ! [X3] : big_p(X3) )
      <=> ? [X0] :
          ! [X1] :
            ( big_p(X1)
          <=> big_p(X0) ) )
    <=> ( ? [X4] :
          ! [X5] :
            ( big_q(X4)
          <=> big_q(X5) )
      <=> ( ! [X7] : big_q(X7)
        <=> ? [X6] : big_p(X6) ) ) ),
    inference(negated_conjecture,[],[f1]) ).

fof(f1,conjecture,
    ( ( ( ? [X2] : big_q(X2)
      <=> ! [X3] : big_p(X3) )
    <=> ? [X0] :
        ! [X1] :
          ( big_p(X1)
        <=> big_p(X0) ) )
  <=> ( ? [X4] :
        ! [X5] :
          ( big_q(X4)
        <=> big_q(X5) )
    <=> ( ! [X7] : big_q(X7)
      <=> ? [X6] : big_p(X6) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel34) ).

fof(f181,plain,
    ( spl26_6
    | spl26_4 ),
    inference(avatar_split_clause,[],[f71,f85,f94]) ).

fof(f71,plain,
    ( sP1
    | sP0 ),
    inference(cnf_transformation,[],[f38]) ).

fof(f154,plain,
    ( spl26_9
    | ~ spl26_18
    | spl26_21
    | spl26_9
    | ~ spl26_4 ),
    inference(avatar_split_clause,[],[f39,f85,f105,f151,f139,f105]) ).

fof(f39,plain,
    ! [X19,X22] :
      ( ~ sP1
      | big_q(X19)
      | big_p(sK13)
      | ~ big_q(sK11)
      | big_q(X22) ),
    inference(cnf_transformation,[],[f22]) ).

fof(f137,plain,
    ( spl26_15
    | spl26_16
    | spl26_17
    | spl26_6 ),
    inference(avatar_split_clause,[],[f67,f94,f135,f132,f128]) ).

fof(f67,plain,
    ! [X0,X5] :
      ( sP0
      | big_p(X5)
      | big_p(sK14(X0))
      | big_p(X0)
      | big_q(sK16) ),
    inference(cnf_transformation,[],[f37]) ).

fof(f114,plain,
    ( spl26_9
    | spl26_10
    | spl26_11
    | spl26_4 ),
    inference(avatar_split_clause,[],[f51,f85,f111,f108,f105]) ).

fof(f51,plain,
    ! [X0,X4] :
      ( sP1
      | big_p(sK4)
      | big_q(X0)
      | big_q(X4)
      | big_q(sK2(X0)) ),
    inference(cnf_transformation,[],[f22]) ).

fof(f103,plain,
    ( ~ spl26_5
    | spl26_6
    | spl26_7
    | spl26_8 ),
    inference(avatar_split_clause,[],[f70,f101,f98,f94,f90]) ).

fof(f70,plain,
    ! [X2,X0] :
      ( ~ big_q(X2)
      | ~ big_p(sK14(X0))
      | sP0
      | ~ big_p(X0)
      | ~ big_p(sK15) ),
    inference(cnf_transformation,[],[f37]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.14/0.15  % Problem    : SYN036+2 : TPTP v8.1.0. Released v2.0.0.
% 0.14/0.15  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.15/0.37  % Computer : n029.cluster.edu
% 0.15/0.37  % Model    : x86_64 x86_64
% 0.15/0.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.37  % Memory   : 8042.1875MB
% 0.15/0.37  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.37  % CPULimit   : 300
% 0.15/0.37  % WCLimit    : 300
% 0.15/0.37  % DateTime   : Tue Aug 30 21:32:27 EDT 2022
% 0.15/0.38  % CPUTime    : 
% 0.23/0.52  % (27436)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)
% 0.23/0.52  % (27444)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)
% 0.23/0.52  % (27444)Refutation not found, incomplete strategy% (27444)------------------------------
% 0.23/0.52  % (27444)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.23/0.52  % (27444)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.23/0.52  % (27444)Termination reason: Refutation not found, incomplete strategy
% 0.23/0.52  
% 0.23/0.52  % (27444)Memory used [KB]: 6012
% 0.23/0.52  % (27444)Time elapsed: 0.090 s
% 0.23/0.52  % (27444)Instructions burned: 1 (million)
% 0.23/0.52  % (27444)------------------------------
% 0.23/0.52  % (27444)------------------------------
% 0.23/0.53  % (27436)Refutation not found, incomplete strategy% (27436)------------------------------
% 0.23/0.53  % (27436)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.23/0.53  % (27436)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.23/0.53  % (27436)Termination reason: Refutation not found, incomplete strategy
% 0.23/0.53  
% 0.23/0.53  % (27436)Memory used [KB]: 6012
% 0.23/0.53  % (27436)Time elapsed: 0.090 s
% 0.23/0.53  % (27436)Instructions burned: 2 (million)
% 0.23/0.53  % (27436)------------------------------
% 0.23/0.53  % (27436)------------------------------
% 0.23/0.53  % (27452)fmb+10_1:1_nm=2:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.23/0.53  TRYING [1]
% 0.23/0.53  TRYING [2]
% 0.23/0.53  TRYING [2]
% 0.23/0.53  % (27452)Instruction limit reached!
% 0.23/0.53  % (27452)------------------------------
% 0.23/0.53  % (27452)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.23/0.53  % (27452)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.23/0.53  % (27452)Termination reason: Unknown
% 0.23/0.53  % (27452)Termination phase: Finite model building constraint generation
% 0.23/0.53  
% 0.23/0.53  % (27452)Memory used [KB]: 5884
% 0.23/0.53  % (27452)Time elapsed: 0.094 s
% 0.23/0.53  % (27452)Instructions burned: 3 (million)
% 0.23/0.53  % (27452)------------------------------
% 0.23/0.53  % (27452)------------------------------
% 0.23/0.53  % (27438)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)
% 0.23/0.53  % (27441)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)
% 0.23/0.53  % (27446)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)
% 0.23/0.53  % (27456)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)
% 0.23/0.53  % (27446)Refutation not found, incomplete strategy% (27446)------------------------------
% 0.23/0.53  % (27446)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.23/0.53  % (27446)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.23/0.53  % (27446)Termination reason: Refutation not found, incomplete strategy
% 0.23/0.53  
% 0.23/0.53  % (27446)Memory used [KB]: 6012
% 0.23/0.53  % (27446)Time elapsed: 0.094 s
% 0.23/0.53  % (27446)Instructions burned: 4 (million)
% 0.23/0.53  % (27446)------------------------------
% 0.23/0.53  % (27446)------------------------------
% 0.23/0.53  % (27438)Refutation not found, incomplete strategy% (27438)------------------------------
% 0.23/0.53  % (27438)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.23/0.53  % (27438)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.23/0.53  % (27438)Termination reason: Refutation not found, incomplete strategy
% 0.23/0.53  
% 0.23/0.53  % (27438)Memory used [KB]: 6012
% 0.23/0.53  % (27438)Time elapsed: 0.093 s
% 0.23/0.53  % (27438)Instructions burned: 2 (million)
% 0.23/0.53  % (27438)------------------------------
% 0.23/0.53  % (27438)------------------------------
% 0.23/0.54  % (27454)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)
% 0.23/0.54  % (27465)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)
% 0.23/0.54  % (27454)Refutation not found, incomplete strategy% (27454)------------------------------
% 0.23/0.54  % (27454)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.23/0.54  % (27454)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.23/0.54  % (27454)Termination reason: Refutation not found, incomplete strategy
% 0.23/0.54  
% 0.23/0.54  % (27454)Memory used [KB]: 6012
% 0.23/0.54  % (27454)Time elapsed: 0.107 s
% 0.23/0.54  % (27454)Instructions burned: 3 (million)
% 0.23/0.54  % (27454)------------------------------
% 0.23/0.54  % (27454)------------------------------
% 0.23/0.54  % (27440)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)
% 0.23/0.54  % (27449)lrs+10_1:1_ins=3:sp=reverse_frequency:spb=goal:to=lpo:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.23/0.54  % (27449)Instruction limit reached!
% 0.23/0.54  % (27449)------------------------------
% 0.23/0.54  % (27449)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.23/0.54  % (27449)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.23/0.54  % (27449)Termination reason: Unknown
% 0.23/0.54  % (27449)Termination phase: Saturation
% 0.23/0.54  
% 0.23/0.54  % (27449)Memory used [KB]: 6012
% 0.23/0.54  % (27449)Time elapsed: 0.004 s
% 0.23/0.54  % (27449)Instructions burned: 3 (million)
% 0.23/0.54  % (27449)------------------------------
% 0.23/0.54  % (27449)------------------------------
% 0.23/0.54  % (27464)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)
% 0.23/0.54  % (27441)First to succeed.
% 0.23/0.55  % (27442)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)
% 0.23/0.55  % (27447)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)
% 0.23/0.55  % (27456)Refutation not found, incomplete strategy% (27456)------------------------------
% 0.23/0.55  % (27456)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.23/0.55  % (27456)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.23/0.55  % (27456)Termination reason: Refutation not found, incomplete strategy
% 0.23/0.55  
% 0.23/0.55  % (27456)Memory used [KB]: 6012
% 0.23/0.55  % (27456)Time elapsed: 0.133 s
% 0.23/0.55  % (27456)Instructions burned: 2 (million)
% 0.23/0.55  % (27456)------------------------------
% 0.23/0.55  % (27456)------------------------------
% 1.30/0.56  % (27458)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)
% 1.30/0.56  % (27455)dis+1010_1:1_bs=on:ep=RS:erd=off:newcnf=on:nwc=10.0:s2a=on:sgt=32:ss=axioms:i=30:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/30Mi)
% 1.30/0.56  % (27450)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)
% 1.30/0.56  % (27464)Refutation not found, incomplete strategy% (27464)------------------------------
% 1.30/0.56  % (27464)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.30/0.56  % (27464)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.30/0.56  % (27464)Termination reason: Refutation not found, incomplete strategy
% 1.30/0.56  
% 1.30/0.56  % (27464)Memory used [KB]: 6012
% 1.30/0.56  % (27464)Time elapsed: 0.115 s
% 1.30/0.56  % (27464)Instructions burned: 2 (million)
% 1.30/0.56  % (27464)------------------------------
% 1.30/0.56  % (27464)------------------------------
% 1.30/0.56  % (27435)dis+1002_1:12_drc=off:fd=preordered:tgt=full:i=99978:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99978Mi)
% 1.30/0.56  % (27441)Refutation found. Thanks to Tanya!
% 1.30/0.56  % SZS status Theorem for theBenchmark
% 1.30/0.56  % SZS output start Proof for theBenchmark
% See solution above
% 1.30/0.56  % (27441)------------------------------
% 1.30/0.56  % (27441)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.30/0.56  % (27441)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.30/0.56  % (27441)Termination reason: Refutation
% 1.30/0.56  
% 1.30/0.56  % (27441)Memory used [KB]: 6140
% 1.30/0.56  % (27441)Time elapsed: 0.126 s
% 1.30/0.56  % (27441)Instructions burned: 4 (million)
% 1.30/0.56  % (27441)------------------------------
% 1.30/0.56  % (27441)------------------------------
% 1.30/0.56  % (27434)Success in time 0.175 s
%------------------------------------------------------------------------------