TSTP Solution File: SYN036+2 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : SYN036+2 : TPTP v8.1.2. Released v2.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s

% Computer : n012.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 : Sun May  5 11:55:37 EDT 2024

% Result   : Theorem 0.56s 0.75s
% Output   : Refutation 0.56s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   11
%            Number of leaves      :   53
% Syntax   : Number of formulae    :  191 (   1 unt;   0 def)
%            Number of atoms       :  834 (   0 equ)
%            Maximal formula atoms :   34 (   4 avg)
%            Number of connectives : 1026 ( 383   ~; 480   |;  83   &)
%                                         (  54 <=>;  24  =>;   0  <=;   2 <~>)
%            Maximal formula depth :   10 (   5 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :   31 (  30 usr;  29 prp; 0-1 aty)
%            Number of functors    :   24 (  24 usr;  20 con; 0-1 aty)
%            Number of variables   :  293 ( 205   !;  88   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f426,plain,
    $false,
    inference(avatar_sat_refutation,[],[f80,f81,f100,f104,f122,f132,f148,f171,f173,f182,f185,f187,f190,f230,f232,f240,f253,f254,f272,f282,f288,f292,f295,f315,f316,f321,f339,f356,f361,f383,f386,f392,f394,f397,f399,f421,f425]) ).

fof(f425,plain,
    ( ~ spl26_13
    | ~ spl26_15 ),
    inference(avatar_contradiction_clause,[],[f424]) ).

fof(f424,plain,
    ( $false
    | ~ spl26_13
    | ~ spl26_15 ),
    inference(subsumption_resolution,[],[f423,f144]) ).

fof(f144,plain,
    ( ! [X2] : big_q(X2)
    | ~ spl26_13 ),
    inference(avatar_component_clause,[],[f143]) ).

fof(f143,plain,
    ( spl26_13
  <=> ! [X2] : big_q(X2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl26_13])]) ).

fof(f423,plain,
    ( ! [X0] : ~ big_q(X0)
    | ~ spl26_13
    | ~ spl26_15 ),
    inference(resolution,[],[f152,f144]) ).

fof(f152,plain,
    ( ! [X1] :
        ( ~ big_q(sK13(X1))
        | ~ big_q(X1) )
    | ~ spl26_15 ),
    inference(avatar_component_clause,[],[f151]) ).

fof(f151,plain,
    ( spl26_15
  <=> ! [X1] :
        ( ~ big_q(sK13(X1))
        | ~ big_q(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl26_15])]) ).

fof(f421,plain,
    ( ~ spl26_13
    | spl26_26 ),
    inference(avatar_contradiction_clause,[],[f420]) ).

fof(f420,plain,
    ( $false
    | ~ spl26_13
    | spl26_26 ),
    inference(resolution,[],[f228,f144]) ).

fof(f228,plain,
    ( ~ big_q(sK22)
    | spl26_26 ),
    inference(avatar_component_clause,[],[f227]) ).

fof(f227,plain,
    ( spl26_26
  <=> big_q(sK22) ),
    introduced(avatar_definition,[new_symbols(naming,[spl26_26])]) ).

fof(f399,plain,
    ( ~ spl26_6
    | ~ spl26_18 ),
    inference(avatar_contradiction_clause,[],[f398]) ).

fof(f398,plain,
    ( $false
    | ~ spl26_6
    | ~ spl26_18 ),
    inference(subsumption_resolution,[],[f170,f103]) ).

fof(f103,plain,
    ( ! [X2] : ~ big_p(X2)
    | ~ spl26_6 ),
    inference(avatar_component_clause,[],[f102]) ).

fof(f102,plain,
    ( spl26_6
  <=> ! [X2] : ~ big_p(X2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl26_6])]) ).

fof(f170,plain,
    ( big_p(sK10)
    | ~ spl26_18 ),
    inference(avatar_component_clause,[],[f168]) ).

fof(f168,plain,
    ( spl26_18
  <=> big_p(sK10) ),
    introduced(avatar_definition,[new_symbols(naming,[spl26_18])]) ).

fof(f397,plain,
    ( ~ spl26_5
    | ~ spl26_31 ),
    inference(avatar_contradiction_clause,[],[f396]) ).

fof(f396,plain,
    ( $false
    | ~ spl26_5
    | ~ spl26_31 ),
    inference(subsumption_resolution,[],[f395,f99]) ).

fof(f99,plain,
    ( ! [X1] : ~ big_q(X1)
    | ~ spl26_5 ),
    inference(avatar_component_clause,[],[f98]) ).

fof(f98,plain,
    ( spl26_5
  <=> ! [X1] : ~ big_q(X1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl26_5])]) ).

fof(f395,plain,
    ( ! [X0] : big_q(X0)
    | ~ spl26_5
    | ~ spl26_31 ),
    inference(resolution,[],[f267,f99]) ).

fof(f267,plain,
    ( ! [X1] :
        ( big_q(sK4(X1))
        | big_q(X1) )
    | ~ spl26_31 ),
    inference(avatar_component_clause,[],[f266]) ).

fof(f266,plain,
    ( spl26_31
  <=> ! [X1] :
        ( big_q(sK4(X1))
        | big_q(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl26_31])]) ).

fof(f394,plain,
    ( ~ spl26_6
    | ~ spl26_32 ),
    inference(avatar_contradiction_clause,[],[f393]) ).

fof(f393,plain,
    ( $false
    | ~ spl26_6
    | ~ spl26_32 ),
    inference(resolution,[],[f271,f103]) ).

fof(f271,plain,
    ( big_p(sK3)
    | ~ spl26_32 ),
    inference(avatar_component_clause,[],[f269]) ).

fof(f269,plain,
    ( spl26_32
  <=> big_p(sK3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl26_32])]) ).

fof(f392,plain,
    ( ~ spl26_6
    | ~ spl26_25 ),
    inference(avatar_contradiction_clause,[],[f391]) ).

fof(f391,plain,
    ( $false
    | ~ spl26_6
    | ~ spl26_25 ),
    inference(resolution,[],[f223,f103]) ).

fof(f223,plain,
    ( big_p(sK21)
    | ~ spl26_25 ),
    inference(avatar_component_clause,[],[f222]) ).

fof(f222,plain,
    ( spl26_25
  <=> big_p(sK21) ),
    introduced(avatar_definition,[new_symbols(naming,[spl26_25])]) ).

fof(f386,plain,
    ( ~ spl26_6
    | ~ spl26_21 ),
    inference(avatar_contradiction_clause,[],[f385]) ).

fof(f385,plain,
    ( $false
    | ~ spl26_6
    | ~ spl26_21 ),
    inference(subsumption_resolution,[],[f381,f103]) ).

fof(f381,plain,
    ( ! [X0] : big_p(X0)
    | ~ spl26_6
    | ~ spl26_21 ),
    inference(resolution,[],[f103,f202]) ).

fof(f202,plain,
    ( ! [X0] :
        ( big_p(sK25(X0))
        | big_p(X0) )
    | ~ spl26_21 ),
    inference(avatar_component_clause,[],[f201]) ).

fof(f201,plain,
    ( spl26_21
  <=> ! [X0] :
        ( big_p(sK25(X0))
        | big_p(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl26_21])]) ).

fof(f383,plain,
    ( ~ spl26_6
    | ~ spl26_19 ),
    inference(avatar_contradiction_clause,[],[f379]) ).

fof(f379,plain,
    ( $false
    | ~ spl26_6
    | ~ spl26_19 ),
    inference(resolution,[],[f103,f177]) ).

fof(f177,plain,
    ( big_p(sK11)
    | ~ spl26_19 ),
    inference(avatar_component_clause,[],[f175]) ).

fof(f175,plain,
    ( spl26_19
  <=> big_p(sK11) ),
    introduced(avatar_definition,[new_symbols(naming,[spl26_19])]) ).

fof(f361,plain,
    ( ~ spl26_5
    | ~ spl26_14 ),
    inference(avatar_contradiction_clause,[],[f360]) ).

fof(f360,plain,
    ( $false
    | ~ spl26_5
    | ~ spl26_14 ),
    inference(subsumption_resolution,[],[f359,f99]) ).

fof(f359,plain,
    ( ! [X1] : big_q(X1)
    | ~ spl26_5
    | ~ spl26_14 ),
    inference(subsumption_resolution,[],[f147,f99]) ).

fof(f147,plain,
    ( ! [X1] :
        ( big_q(sK13(X1))
        | big_q(X1) )
    | ~ spl26_14 ),
    inference(avatar_component_clause,[],[f146]) ).

fof(f146,plain,
    ( spl26_14
  <=> ! [X1] :
        ( big_q(sK13(X1))
        | big_q(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl26_14])]) ).

fof(f356,plain,
    ( ~ spl26_1
    | ~ spl26_4
    | ~ spl26_5 ),
    inference(avatar_contradiction_clause,[],[f355]) ).

fof(f355,plain,
    ( $false
    | ~ spl26_1
    | ~ spl26_4
    | ~ spl26_5 ),
    inference(subsumption_resolution,[],[f354,f99]) ).

fof(f354,plain,
    ( big_q(sK23)
    | ~ spl26_1
    | ~ spl26_4 ),
    inference(subsumption_resolution,[],[f353,f96]) ).

fof(f96,plain,
    ( ! [X2] : big_p(X2)
    | ~ spl26_4 ),
    inference(avatar_component_clause,[],[f95]) ).

fof(f95,plain,
    ( spl26_4
  <=> ! [X2] : big_p(X2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl26_4])]) ).

fof(f353,plain,
    ( ! [X0] :
        ( ~ big_p(X0)
        | big_q(sK23) )
    | ~ spl26_1
    | ~ spl26_4 ),
    inference(subsumption_resolution,[],[f352,f96]) ).

fof(f352,plain,
    ( ! [X0] :
        ( ~ big_p(sK25(X0))
        | ~ big_p(X0)
        | big_q(sK23) )
    | ~ spl26_1
    | ~ spl26_4 ),
    inference(subsumption_resolution,[],[f325,f96]) ).

fof(f325,plain,
    ( ! [X0] :
        ( ~ big_p(sK24)
        | ~ big_p(sK25(X0))
        | ~ big_p(X0)
        | big_q(sK23) )
    | ~ spl26_1 ),
    inference(resolution,[],[f74,f57]) ).

fof(f57,plain,
    ! [X22] :
      ( ~ sP0
      | ~ big_p(sK24)
      | ~ big_p(sK25(X22))
      | ~ big_p(X22)
      | big_q(sK23) ),
    inference(cnf_transformation,[],[f36]) ).

fof(f36,plain,
    ( ( sP0
      | ( ( ( ( ~ big_p(sK14)
              | ! [X1] : ~ big_q(X1) )
            & ( ! [X2] : big_p(X2)
              | big_q(sK15) ) )
          | ! [X4] :
              ( ( ~ big_p(sK16(X4))
                | ~ big_p(X4) )
              & ( big_p(sK16(X4))
                | big_p(X4) ) ) )
        & ( ( ( big_q(sK17)
              | ~ big_p(sK18) )
            & ( ! [X8] : big_p(X8)
              | ! [X9] : ~ big_q(X9) ) )
          | ! [X11] :
              ( ( big_p(sK19)
                | ~ big_p(X11) )
              & ( big_p(X11)
                | ~ big_p(sK19) ) ) ) ) )
    & ( ( ( ! [X13] :
              ( ( big_p(sK20)
                | ~ big_p(X13) )
              & ( big_p(X13)
                | ~ big_p(sK20) ) )
          | ( ( ~ big_p(sK21)
              | ! [X15] : ~ big_q(X15) )
            & ( ! [X16] : big_p(X16)
              | big_q(sK22) ) ) )
        & ( ( ( big_q(sK23)
              | ~ big_p(sK24) )
            & ( ! [X20] : big_p(X20)
              | ! [X21] : ~ big_q(X21) ) )
          | ! [X22] :
              ( ( ~ big_p(sK25(X22))
                | ~ big_p(X22) )
              & ( big_p(sK25(X22))
                | big_p(X22) ) ) ) )
      | ~ sP0 ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK14,sK15,sK16,sK17,sK18,sK19,sK20,sK21,sK22,sK23,sK24,sK25])],[f23,f35,f34,f33,f32,f31,f30,f29,f28,f27,f26,f25,f24]) ).

fof(f24,plain,
    ( ? [X0] : ~ big_p(X0)
   => ~ big_p(sK14) ),
    introduced(choice_axiom,[]) ).

fof(f25,plain,
    ( ? [X3] : big_q(X3)
   => big_q(sK15) ),
    introduced(choice_axiom,[]) ).

fof(f26,plain,
    ! [X4] :
      ( ? [X5] :
          ( ( ~ big_p(X5)
            | ~ big_p(X4) )
          & ( big_p(X5)
            | big_p(X4) ) )
     => ( ( ~ big_p(sK16(X4))
          | ~ big_p(X4) )
        & ( big_p(sK16(X4))
          | big_p(X4) ) ) ),
    introduced(choice_axiom,[]) ).

fof(f27,plain,
    ( ? [X6] : big_q(X6)
   => big_q(sK17) ),
    introduced(choice_axiom,[]) ).

fof(f28,plain,
    ( ? [X7] : ~ big_p(X7)
   => ~ big_p(sK18) ),
    introduced(choice_axiom,[]) ).

fof(f29,plain,
    ( ? [X10] :
      ! [X11] :
        ( ( big_p(X10)
          | ~ big_p(X11) )
        & ( big_p(X11)
          | ~ big_p(X10) ) )
   => ! [X11] :
        ( ( big_p(sK19)
          | ~ big_p(X11) )
        & ( big_p(X11)
          | ~ big_p(sK19) ) ) ),
    introduced(choice_axiom,[]) ).

fof(f30,plain,
    ( ? [X12] :
      ! [X13] :
        ( ( big_p(X12)
          | ~ big_p(X13) )
        & ( big_p(X13)
          | ~ big_p(X12) ) )
   => ! [X13] :
        ( ( big_p(sK20)
          | ~ big_p(X13) )
        & ( big_p(X13)
          | ~ big_p(sK20) ) ) ),
    introduced(choice_axiom,[]) ).

fof(f31,plain,
    ( ? [X14] : ~ big_p(X14)
   => ~ big_p(sK21) ),
    introduced(choice_axiom,[]) ).

fof(f32,plain,
    ( ? [X17] : big_q(X17)
   => big_q(sK22) ),
    introduced(choice_axiom,[]) ).

fof(f33,plain,
    ( ? [X18] : big_q(X18)
   => big_q(sK23) ),
    introduced(choice_axiom,[]) ).

fof(f34,plain,
    ( ? [X19] : ~ big_p(X19)
   => ~ big_p(sK24) ),
    introduced(choice_axiom,[]) ).

fof(f35,plain,
    ! [X22] :
      ( ? [X23] :
          ( ( ~ big_p(X23)
            | ~ big_p(X22) )
          & ( big_p(X23)
            | big_p(X22) ) )
     => ( ( ~ big_p(sK25(X22))
          | ~ big_p(X22) )
        & ( big_p(sK25(X22))
          | big_p(X22) ) ) ),
    introduced(choice_axiom,[]) ).

fof(f23,plain,
    ( ( sP0
      | ( ( ( ( ? [X0] : ~ big_p(X0)
              | ! [X1] : ~ big_q(X1) )
            & ( ! [X2] : big_p(X2)
              | ? [X3] : big_q(X3) ) )
          | ! [X4] :
            ? [X5] :
              ( ( ~ big_p(X5)
                | ~ big_p(X4) )
              & ( big_p(X5)
                | big_p(X4) ) ) )
        & ( ( ( ? [X6] : big_q(X6)
              | ? [X7] : ~ big_p(X7) )
            & ( ! [X8] : big_p(X8)
              | ! [X9] : ~ big_q(X9) ) )
          | ? [X10] :
            ! [X11] :
              ( ( big_p(X10)
                | ~ big_p(X11) )
              & ( big_p(X11)
                | ~ big_p(X10) ) ) ) ) )
    & ( ( ( ? [X12] :
            ! [X13] :
              ( ( big_p(X12)
                | ~ big_p(X13) )
              & ( big_p(X13)
                | ~ big_p(X12) ) )
          | ( ( ? [X14] : ~ big_p(X14)
              | ! [X15] : ~ big_q(X15) )
            & ( ! [X16] : big_p(X16)
              | ? [X17] : big_q(X17) ) ) )
        & ( ( ( ? [X18] : big_q(X18)
              | ? [X19] : ~ big_p(X19) )
            & ( ! [X20] : big_p(X20)
              | ! [X21] : ~ big_q(X21) ) )
          | ! [X22] :
            ? [X23] :
              ( ( ~ big_p(X23)
                | ~ big_p(X22) )
              & ( big_p(X23)
                | big_p(X22) ) ) ) )
      | ~ sP0 ) ),
    inference(rectify,[],[f22]) ).

fof(f22,plain,
    ( ( sP0
      | ( ( ( ( ? [X3] : ~ big_p(X3)
              | ! [X2] : ~ big_q(X2) )
            & ( ! [X3] : big_p(X3)
              | ? [X2] : big_q(X2) ) )
          | ! [X0] :
            ? [X1] :
              ( ( ~ big_p(X1)
                | ~ big_p(X0) )
              & ( big_p(X1)
                | big_p(X0) ) ) )
        & ( ( ( ? [X2] : big_q(X2)
              | ? [X3] : ~ big_p(X3) )
            & ( ! [X3] : big_p(X3)
              | ! [X2] : ~ big_q(X2) ) )
          | ? [X0] :
            ! [X1] :
              ( ( big_p(X0)
                | ~ big_p(X1) )
              & ( big_p(X1)
                | ~ big_p(X0) ) ) ) ) )
    & ( ( ( ? [X0] :
            ! [X1] :
              ( ( big_p(X0)
                | ~ big_p(X1) )
              & ( big_p(X1)
                | ~ big_p(X0) ) )
          | ( ( ? [X3] : ~ big_p(X3)
              | ! [X2] : ~ big_q(X2) )
            & ( ! [X3] : big_p(X3)
              | ? [X2] : big_q(X2) ) ) )
        & ( ( ( ? [X2] : big_q(X2)
              | ? [X3] : ~ big_p(X3) )
            & ( ! [X3] : big_p(X3)
              | ! [X2] : ~ big_q(X2) ) )
          | ! [X0] :
            ? [X1] :
              ( ( ~ big_p(X1)
                | ~ big_p(X0) )
              & ( big_p(X1)
                | big_p(X0) ) ) ) )
      | ~ sP0 ) ),
    inference(nnf_transformation,[],[f4]) ).

fof(f4,plain,
    ( sP0
  <=> ( ? [X0] :
        ! [X1] :
          ( big_p(X0)
        <=> big_p(X1) )
    <=> ( ? [X2] : big_q(X2)
      <=> ! [X3] : big_p(X3) ) ) ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).

fof(f74,plain,
    ( sP0
    | ~ spl26_1 ),
    inference(avatar_component_clause,[],[f73]) ).

fof(f73,plain,
    ( spl26_1
  <=> sP0 ),
    introduced(avatar_definition,[new_symbols(naming,[spl26_1])]) ).

fof(f339,plain,
    ( ~ spl26_5
    | ~ spl26_26 ),
    inference(avatar_contradiction_clause,[],[f338]) ).

fof(f338,plain,
    ( $false
    | ~ spl26_5
    | ~ spl26_26 ),
    inference(resolution,[],[f99,f229]) ).

fof(f229,plain,
    ( big_q(sK22)
    | ~ spl26_26 ),
    inference(avatar_component_clause,[],[f227]) ).

fof(f321,plain,
    ( ~ spl26_4
    | ~ spl26_11 ),
    inference(avatar_contradiction_clause,[],[f320]) ).

fof(f320,plain,
    ( $false
    | ~ spl26_4
    | ~ spl26_11 ),
    inference(subsumption_resolution,[],[f319,f96]) ).

fof(f319,plain,
    ( ! [X0] : ~ big_p(X0)
    | ~ spl26_4
    | ~ spl26_11 ),
    inference(resolution,[],[f125,f96]) ).

fof(f125,plain,
    ( ! [X1] :
        ( ~ big_p(sK16(X1))
        | ~ big_p(X1) )
    | ~ spl26_11 ),
    inference(avatar_component_clause,[],[f124]) ).

fof(f124,plain,
    ( spl26_11
  <=> ! [X1] :
        ( ~ big_p(sK16(X1))
        | ~ big_p(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl26_11])]) ).

fof(f316,plain,
    ( ~ spl26_4
    | spl26_12 ),
    inference(avatar_contradiction_clause,[],[f313]) ).

fof(f313,plain,
    ( $false
    | ~ spl26_4
    | spl26_12 ),
    inference(resolution,[],[f96,f130]) ).

fof(f130,plain,
    ( ~ big_p(sK14)
    | spl26_12 ),
    inference(avatar_component_clause,[],[f128]) ).

fof(f128,plain,
    ( spl26_12
  <=> big_p(sK14) ),
    introduced(avatar_definition,[new_symbols(naming,[spl26_12])]) ).

fof(f315,plain,
    ( ~ spl26_4
    | spl26_25 ),
    inference(avatar_contradiction_clause,[],[f314]) ).

fof(f314,plain,
    ( $false
    | ~ spl26_4
    | spl26_25 ),
    inference(resolution,[],[f96,f224]) ).

fof(f224,plain,
    ( ~ big_p(sK21)
    | spl26_25 ),
    inference(avatar_component_clause,[],[f222]) ).

fof(f295,plain,
    ( ~ spl26_13
    | ~ spl26_33 ),
    inference(avatar_contradiction_clause,[],[f294]) ).

fof(f294,plain,
    ( $false
    | ~ spl26_13
    | ~ spl26_33 ),
    inference(subsumption_resolution,[],[f293,f144]) ).

fof(f293,plain,
    ( ! [X1] : ~ big_q(X1)
    | ~ spl26_13
    | ~ spl26_33 ),
    inference(subsumption_resolution,[],[f275,f144]) ).

fof(f275,plain,
    ( ! [X1] :
        ( ~ big_q(sK4(X1))
        | ~ big_q(X1) )
    | ~ spl26_33 ),
    inference(avatar_component_clause,[],[f274]) ).

fof(f274,plain,
    ( spl26_33
  <=> ! [X1] :
        ( ~ big_q(sK4(X1))
        | ~ big_q(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl26_33])]) ).

fof(f292,plain,
    ( ~ spl26_13
    | spl26_34 ),
    inference(avatar_contradiction_clause,[],[f291]) ).

fof(f291,plain,
    ( $false
    | ~ spl26_13
    | spl26_34 ),
    inference(resolution,[],[f280,f144]) ).

fof(f280,plain,
    ( ~ big_q(sK2)
    | spl26_34 ),
    inference(avatar_component_clause,[],[f278]) ).

fof(f278,plain,
    ( spl26_34
  <=> big_q(sK2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl26_34])]) ).

fof(f288,plain,
    ( ~ spl26_13
    | spl26_20 ),
    inference(avatar_contradiction_clause,[],[f287]) ).

fof(f287,plain,
    ( $false
    | ~ spl26_13
    | spl26_20 ),
    inference(resolution,[],[f181,f144]) ).

fof(f181,plain,
    ( ~ big_q(sK12)
    | spl26_20 ),
    inference(avatar_component_clause,[],[f179]) ).

fof(f179,plain,
    ( spl26_20
  <=> big_q(sK12) ),
    introduced(avatar_definition,[new_symbols(naming,[spl26_20])]) ).

fof(f282,plain,
    ( spl26_33
    | spl26_6
    | ~ spl26_34
    | spl26_2 ),
    inference(avatar_split_clause,[],[f248,f77,f278,f102,f274]) ).

fof(f77,plain,
    ( spl26_2
  <=> sP1 ),
    introduced(avatar_definition,[new_symbols(naming,[spl26_2])]) ).

fof(f248,plain,
    ( ! [X0,X1] :
        ( ~ big_q(sK2)
        | ~ big_p(X0)
        | ~ big_q(sK4(X1))
        | ~ big_q(X1) )
    | spl26_2 ),
    inference(resolution,[],[f79,f53]) ).

fof(f53,plain,
    ! [X1,X4] :
      ( sP1
      | ~ big_q(sK2)
      | ~ big_p(X1)
      | ~ big_q(sK4(X4))
      | ~ big_q(X4) ),
    inference(cnf_transformation,[],[f21]) ).

fof(f21,plain,
    ( ( sP1
      | ( ( ( ( ~ big_q(sK2)
              | ! [X1] : ~ big_p(X1) )
            & ( ! [X2] : big_q(X2)
              | big_p(sK3) ) )
          | ! [X4] :
              ( ( ~ big_q(sK4(X4))
                | ~ big_q(X4) )
              & ( big_q(sK4(X4))
                | big_q(X4) ) ) )
        & ( ( ( big_p(sK5)
              | ~ big_q(sK6) )
            & ( ! [X8] : big_q(X8)
              | ! [X9] : ~ big_p(X9) ) )
          | ! [X11] :
              ( ( big_q(sK7)
                | ~ big_q(X11) )
              & ( big_q(X11)
                | ~ big_q(sK7) ) ) ) ) )
    & ( ( ( ! [X13] :
              ( ( big_q(sK8)
                | ~ big_q(X13) )
              & ( big_q(X13)
                | ~ big_q(sK8) ) )
          | ( ( ~ big_q(sK9)
              | ! [X15] : ~ big_p(X15) )
            & ( ! [X16] : big_q(X16)
              | big_p(sK10) ) ) )
        & ( ( ( big_p(sK11)
              | ~ big_q(sK12) )
            & ( ! [X20] : big_q(X20)
              | ! [X21] : ~ big_p(X21) ) )
          | ! [X22] :
              ( ( ~ big_q(sK13(X22))
                | ~ big_q(X22) )
              & ( big_q(sK13(X22))
                | big_q(X22) ) ) ) )
      | ~ sP1 ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK2,sK3,sK4,sK5,sK6,sK7,sK8,sK9,sK10,sK11,sK12,sK13])],[f8,f20,f19,f18,f17,f16,f15,f14,f13,f12,f11,f10,f9]) ).

fof(f9,plain,
    ( ? [X0] : ~ big_q(X0)
   => ~ big_q(sK2) ),
    introduced(choice_axiom,[]) ).

fof(f10,plain,
    ( ? [X3] : big_p(X3)
   => big_p(sK3) ),
    introduced(choice_axiom,[]) ).

fof(f11,plain,
    ! [X4] :
      ( ? [X5] :
          ( ( ~ big_q(X5)
            | ~ big_q(X4) )
          & ( big_q(X5)
            | big_q(X4) ) )
     => ( ( ~ big_q(sK4(X4))
          | ~ big_q(X4) )
        & ( big_q(sK4(X4))
          | big_q(X4) ) ) ),
    introduced(choice_axiom,[]) ).

fof(f12,plain,
    ( ? [X6] : big_p(X6)
   => big_p(sK5) ),
    introduced(choice_axiom,[]) ).

fof(f13,plain,
    ( ? [X7] : ~ big_q(X7)
   => ~ big_q(sK6) ),
    introduced(choice_axiom,[]) ).

fof(f14,plain,
    ( ? [X10] :
      ! [X11] :
        ( ( big_q(X10)
          | ~ big_q(X11) )
        & ( big_q(X11)
          | ~ big_q(X10) ) )
   => ! [X11] :
        ( ( big_q(sK7)
          | ~ big_q(X11) )
        & ( big_q(X11)
          | ~ big_q(sK7) ) ) ),
    introduced(choice_axiom,[]) ).

fof(f15,plain,
    ( ? [X12] :
      ! [X13] :
        ( ( big_q(X12)
          | ~ big_q(X13) )
        & ( big_q(X13)
          | ~ big_q(X12) ) )
   => ! [X13] :
        ( ( big_q(sK8)
          | ~ big_q(X13) )
        & ( big_q(X13)
          | ~ big_q(sK8) ) ) ),
    introduced(choice_axiom,[]) ).

fof(f16,plain,
    ( ? [X14] : ~ big_q(X14)
   => ~ big_q(sK9) ),
    introduced(choice_axiom,[]) ).

fof(f17,plain,
    ( ? [X17] : big_p(X17)
   => big_p(sK10) ),
    introduced(choice_axiom,[]) ).

fof(f18,plain,
    ( ? [X18] : big_p(X18)
   => big_p(sK11) ),
    introduced(choice_axiom,[]) ).

fof(f19,plain,
    ( ? [X19] : ~ big_q(X19)
   => ~ big_q(sK12) ),
    introduced(choice_axiom,[]) ).

fof(f20,plain,
    ! [X22] :
      ( ? [X23] :
          ( ( ~ big_q(X23)
            | ~ big_q(X22) )
          & ( big_q(X23)
            | big_q(X22) ) )
     => ( ( ~ big_q(sK13(X22))
          | ~ big_q(X22) )
        & ( big_q(sK13(X22))
          | big_q(X22) ) ) ),
    introduced(choice_axiom,[]) ).

fof(f8,plain,
    ( ( sP1
      | ( ( ( ( ? [X0] : ~ big_q(X0)
              | ! [X1] : ~ big_p(X1) )
            & ( ! [X2] : big_q(X2)
              | ? [X3] : big_p(X3) ) )
          | ! [X4] :
            ? [X5] :
              ( ( ~ big_q(X5)
                | ~ big_q(X4) )
              & ( big_q(X5)
                | big_q(X4) ) ) )
        & ( ( ( ? [X6] : big_p(X6)
              | ? [X7] : ~ big_q(X7) )
            & ( ! [X8] : big_q(X8)
              | ! [X9] : ~ big_p(X9) ) )
          | ? [X10] :
            ! [X11] :
              ( ( big_q(X10)
                | ~ big_q(X11) )
              & ( big_q(X11)
                | ~ big_q(X10) ) ) ) ) )
    & ( ( ( ? [X12] :
            ! [X13] :
              ( ( big_q(X12)
                | ~ big_q(X13) )
              & ( big_q(X13)
                | ~ big_q(X12) ) )
          | ( ( ? [X14] : ~ big_q(X14)
              | ! [X15] : ~ big_p(X15) )
            & ( ! [X16] : big_q(X16)
              | ? [X17] : big_p(X17) ) ) )
        & ( ( ( ? [X18] : big_p(X18)
              | ? [X19] : ~ big_q(X19) )
            & ( ! [X20] : big_q(X20)
              | ! [X21] : ~ big_p(X21) ) )
          | ! [X22] :
            ? [X23] :
              ( ( ~ big_q(X23)
                | ~ big_q(X22) )
              & ( big_q(X23)
                | big_q(X22) ) ) ) )
      | ~ sP1 ) ),
    inference(rectify,[],[f7]) ).

fof(f7,plain,
    ( ( sP1
      | ( ( ( ( ? [X7] : ~ big_q(X7)
              | ! [X6] : ~ big_p(X6) )
            & ( ! [X7] : big_q(X7)
              | ? [X6] : big_p(X6) ) )
          | ! [X4] :
            ? [X5] :
              ( ( ~ big_q(X5)
                | ~ big_q(X4) )
              & ( big_q(X5)
                | big_q(X4) ) ) )
        & ( ( ( ? [X6] : big_p(X6)
              | ? [X7] : ~ big_q(X7) )
            & ( ! [X7] : big_q(X7)
              | ! [X6] : ~ big_p(X6) ) )
          | ? [X4] :
            ! [X5] :
              ( ( big_q(X4)
                | ~ big_q(X5) )
              & ( big_q(X5)
                | ~ big_q(X4) ) ) ) ) )
    & ( ( ( ? [X4] :
            ! [X5] :
              ( ( big_q(X4)
                | ~ big_q(X5) )
              & ( big_q(X5)
                | ~ big_q(X4) ) )
          | ( ( ? [X7] : ~ big_q(X7)
              | ! [X6] : ~ big_p(X6) )
            & ( ! [X7] : big_q(X7)
              | ? [X6] : big_p(X6) ) ) )
        & ( ( ( ? [X6] : big_p(X6)
              | ? [X7] : ~ big_q(X7) )
            & ( ! [X7] : big_q(X7)
              | ! [X6] : ~ big_p(X6) ) )
          | ! [X4] :
            ? [X5] :
              ( ( ~ big_q(X5)
                | ~ big_q(X4) )
              & ( big_q(X5)
                | big_q(X4) ) ) ) )
      | ~ sP1 ) ),
    inference(nnf_transformation,[],[f5]) ).

fof(f5,plain,
    ( sP1
  <=> ( ? [X4] :
        ! [X5] :
          ( big_q(X4)
        <=> big_q(X5) )
    <=> ( ? [X6] : big_p(X6)
      <=> ! [X7] : big_q(X7) ) ) ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP1])]) ).

fof(f79,plain,
    ( ~ sP1
    | spl26_2 ),
    inference(avatar_component_clause,[],[f77]) ).

fof(f272,plain,
    ( spl26_31
    | spl26_32
    | spl26_13
    | spl26_2 ),
    inference(avatar_split_clause,[],[f245,f77,f143,f269,f266]) ).

fof(f245,plain,
    ( ! [X0,X1] :
        ( big_q(X0)
        | big_p(sK3)
        | big_q(sK4(X1))
        | big_q(X1) )
    | spl26_2 ),
    inference(resolution,[],[f79,f50]) ).

fof(f50,plain,
    ! [X2,X4] :
      ( sP1
      | big_q(X2)
      | big_p(sK3)
      | big_q(sK4(X4))
      | big_q(X4) ),
    inference(cnf_transformation,[],[f21]) ).

fof(f254,plain,
    ( spl26_5
    | spl26_28
    | spl26_6
    | spl26_13
    | spl26_2 ),
    inference(avatar_split_clause,[],[f242,f77,f143,f102,f250,f98]) ).

fof(f250,plain,
    ( spl26_28
  <=> big_q(sK7) ),
    introduced(avatar_definition,[new_symbols(naming,[spl26_28])]) ).

fof(f242,plain,
    ( ! [X2,X0,X1] :
        ( big_q(X0)
        | ~ big_p(X1)
        | big_q(sK7)
        | ~ big_q(X2) )
    | spl26_2 ),
    inference(resolution,[],[f79,f47]) ).

fof(f47,plain,
    ! [X11,X8,X9] :
      ( sP1
      | big_q(X8)
      | ~ big_p(X9)
      | big_q(sK7)
      | ~ big_q(X11) ),
    inference(cnf_transformation,[],[f21]) ).

fof(f253,plain,
    ( ~ spl26_28
    | spl26_13
    | spl26_6
    | spl26_13
    | spl26_2 ),
    inference(avatar_split_clause,[],[f241,f77,f143,f102,f143,f250]) ).

fof(f241,plain,
    ( ! [X2,X0,X1] :
        ( big_q(X0)
        | ~ big_p(X1)
        | big_q(X2)
        | ~ big_q(sK7) )
    | spl26_2 ),
    inference(resolution,[],[f79,f46]) ).

fof(f46,plain,
    ! [X11,X8,X9] :
      ( sP1
      | big_q(X8)
      | ~ big_p(X9)
      | big_q(X11)
      | ~ big_q(sK7) ),
    inference(cnf_transformation,[],[f21]) ).

fof(f240,plain,
    ( spl26_4
    | spl26_21
    | spl26_5
    | ~ spl26_1 ),
    inference(avatar_split_clause,[],[f191,f73,f98,f201,f95]) ).

fof(f191,plain,
    ( ! [X2,X0,X1] :
        ( ~ big_q(X0)
        | big_p(sK25(X1))
        | big_p(X1)
        | big_p(X2) )
    | ~ spl26_1 ),
    inference(resolution,[],[f74,f54]) ).

fof(f54,plain,
    ! [X21,X22,X20] :
      ( ~ sP0
      | ~ big_q(X21)
      | big_p(sK25(X22))
      | big_p(X22)
      | big_p(X20) ),
    inference(cnf_transformation,[],[f36]) ).

fof(f232,plain,
    ( spl26_4
    | spl26_26
    | spl26_4
    | ~ spl26_24
    | ~ spl26_1 ),
    inference(avatar_split_clause,[],[f195,f73,f215,f95,f227,f95]) ).

fof(f215,plain,
    ( spl26_24
  <=> big_p(sK20) ),
    introduced(avatar_definition,[new_symbols(naming,[spl26_24])]) ).

fof(f195,plain,
    ( ! [X0,X1] :
        ( ~ big_p(sK20)
        | big_p(X0)
        | big_q(sK22)
        | big_p(X1) )
    | ~ spl26_1 ),
    inference(resolution,[],[f74,f58]) ).

fof(f58,plain,
    ! [X16,X13] :
      ( ~ sP0
      | ~ big_p(sK20)
      | big_p(X16)
      | big_q(sK22)
      | big_p(X13) ),
    inference(cnf_transformation,[],[f36]) ).

fof(f230,plain,
    ( spl26_24
    | spl26_26
    | spl26_4
    | spl26_6
    | ~ spl26_1 ),
    inference(avatar_split_clause,[],[f197,f73,f102,f95,f227,f215]) ).

fof(f197,plain,
    ( ! [X0,X1] :
        ( ~ big_p(X0)
        | big_p(X1)
        | big_q(sK22)
        | big_p(sK20) )
    | ~ spl26_1 ),
    inference(resolution,[],[f74,f60]) ).

fof(f60,plain,
    ! [X16,X13] :
      ( ~ sP0
      | ~ big_p(X13)
      | big_p(X16)
      | big_q(sK22)
      | big_p(sK20) ),
    inference(cnf_transformation,[],[f36]) ).

fof(f190,plain,
    ( ~ spl26_6
    | ~ spl26_9 ),
    inference(avatar_contradiction_clause,[],[f189]) ).

fof(f189,plain,
    ( $false
    | ~ spl26_6
    | ~ spl26_9 ),
    inference(subsumption_resolution,[],[f188,f103]) ).

fof(f188,plain,
    ( ! [X1] : big_p(X1)
    | ~ spl26_6
    | ~ spl26_9 ),
    inference(subsumption_resolution,[],[f117,f103]) ).

fof(f117,plain,
    ( ! [X1] :
        ( big_p(sK16(X1))
        | big_p(X1) )
    | ~ spl26_9 ),
    inference(avatar_component_clause,[],[f116]) ).

fof(f116,plain,
    ( spl26_9
  <=> ! [X1] :
        ( big_p(sK16(X1))
        | big_p(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl26_9])]) ).

fof(f187,plain,
    ( ~ spl26_5
    | ~ spl26_10 ),
    inference(avatar_contradiction_clause,[],[f186]) ).

fof(f186,plain,
    ( $false
    | ~ spl26_5
    | ~ spl26_10 ),
    inference(resolution,[],[f121,f99]) ).

fof(f121,plain,
    ( big_q(sK15)
    | ~ spl26_10 ),
    inference(avatar_component_clause,[],[f119]) ).

fof(f119,plain,
    ( spl26_10
  <=> big_q(sK15) ),
    introduced(avatar_definition,[new_symbols(naming,[spl26_10])]) ).

fof(f185,plain,
    ( spl26_13
    | spl26_14
    | spl26_6
    | ~ spl26_2 ),
    inference(avatar_split_clause,[],[f133,f77,f102,f146,f143]) ).

fof(f133,plain,
    ( ! [X2,X0,X1] :
        ( ~ big_p(X0)
        | big_q(sK13(X1))
        | big_q(X1)
        | big_q(X2) )
    | ~ spl26_2 ),
    inference(resolution,[],[f78,f38]) ).

fof(f38,plain,
    ! [X21,X22,X20] :
      ( ~ sP1
      | ~ big_p(X21)
      | big_q(sK13(X22))
      | big_q(X22)
      | big_q(X20) ),
    inference(cnf_transformation,[],[f21]) ).

fof(f78,plain,
    ( sP1
    | ~ spl26_2 ),
    inference(avatar_component_clause,[],[f77]) ).

fof(f182,plain,
    ( spl26_19
    | spl26_15
    | ~ spl26_20
    | ~ spl26_2 ),
    inference(avatar_split_clause,[],[f136,f77,f179,f151,f175]) ).

fof(f136,plain,
    ( ! [X0] :
        ( ~ big_q(sK12)
        | ~ big_q(sK13(X0))
        | ~ big_q(X0)
        | big_p(sK11) )
    | ~ spl26_2 ),
    inference(resolution,[],[f78,f41]) ).

fof(f41,plain,
    ! [X22] :
      ( ~ sP1
      | ~ big_q(sK12)
      | ~ big_q(sK13(X22))
      | ~ big_q(X22)
      | big_p(sK11) ),
    inference(cnf_transformation,[],[f21]) ).

fof(f173,plain,
    ( spl26_13
    | spl26_18
    | spl26_13
    | ~ spl26_17
    | ~ spl26_2 ),
    inference(avatar_split_clause,[],[f137,f77,f160,f143,f168,f143]) ).

fof(f160,plain,
    ( spl26_17
  <=> big_q(sK8) ),
    introduced(avatar_definition,[new_symbols(naming,[spl26_17])]) ).

fof(f137,plain,
    ( ! [X0,X1] :
        ( ~ big_q(sK8)
        | big_q(X0)
        | big_p(sK10)
        | big_q(X1) )
    | ~ spl26_2 ),
    inference(resolution,[],[f78,f42]) ).

fof(f42,plain,
    ! [X16,X13] :
      ( ~ sP1
      | ~ big_q(sK8)
      | big_q(X16)
      | big_p(sK10)
      | big_q(X13) ),
    inference(cnf_transformation,[],[f21]) ).

fof(f171,plain,
    ( spl26_17
    | spl26_18
    | spl26_13
    | spl26_5
    | ~ spl26_2 ),
    inference(avatar_split_clause,[],[f139,f77,f98,f143,f168,f160]) ).

fof(f139,plain,
    ( ! [X0,X1] :
        ( ~ big_q(X0)
        | big_q(X1)
        | big_p(sK10)
        | big_q(sK8) )
    | ~ spl26_2 ),
    inference(resolution,[],[f78,f44]) ).

fof(f44,plain,
    ! [X16,X13] :
      ( ~ sP1
      | ~ big_q(X13)
      | big_q(X16)
      | big_p(sK10)
      | big_q(sK8) ),
    inference(cnf_transformation,[],[f21]) ).

fof(f148,plain,
    ( spl26_13
    | spl26_14
    | ~ spl26_2
    | ~ spl26_4 ),
    inference(avatar_split_clause,[],[f141,f95,f77,f146,f143]) ).

fof(f141,plain,
    ( ! [X2,X1] :
        ( big_q(sK13(X1))
        | big_q(X1)
        | big_q(X2) )
    | ~ spl26_2
    | ~ spl26_4 ),
    inference(subsumption_resolution,[],[f133,f96]) ).

fof(f132,plain,
    ( spl26_11
    | spl26_5
    | ~ spl26_12
    | spl26_1 ),
    inference(avatar_split_clause,[],[f89,f73,f128,f98,f124]) ).

fof(f89,plain,
    ( ! [X0,X1] :
        ( ~ big_p(sK14)
        | ~ big_q(X0)
        | ~ big_p(sK16(X1))
        | ~ big_p(X1) )
    | spl26_1 ),
    inference(resolution,[],[f75,f69]) ).

fof(f69,plain,
    ! [X1,X4] :
      ( sP0
      | ~ big_p(sK14)
      | ~ big_q(X1)
      | ~ big_p(sK16(X4))
      | ~ big_p(X4) ),
    inference(cnf_transformation,[],[f36]) ).

fof(f75,plain,
    ( ~ sP0
    | spl26_1 ),
    inference(avatar_component_clause,[],[f73]) ).

fof(f122,plain,
    ( spl26_9
    | spl26_10
    | spl26_4
    | spl26_1 ),
    inference(avatar_split_clause,[],[f86,f73,f95,f119,f116]) ).

fof(f86,plain,
    ( ! [X0,X1] :
        ( big_p(X0)
        | big_q(sK15)
        | big_p(sK16(X1))
        | big_p(X1) )
    | spl26_1 ),
    inference(resolution,[],[f75,f66]) ).

fof(f66,plain,
    ! [X2,X4] :
      ( sP0
      | big_p(X2)
      | big_q(sK15)
      | big_p(sK16(X4))
      | big_p(X4) ),
    inference(cnf_transformation,[],[f36]) ).

fof(f104,plain,
    ( spl26_6
    | spl26_3
    | spl26_5
    | spl26_4
    | spl26_1 ),
    inference(avatar_split_clause,[],[f83,f73,f95,f98,f91,f102]) ).

fof(f91,plain,
    ( spl26_3
  <=> big_p(sK19) ),
    introduced(avatar_definition,[new_symbols(naming,[spl26_3])]) ).

fof(f83,plain,
    ( ! [X2,X0,X1] :
        ( big_p(X0)
        | ~ big_q(X1)
        | big_p(sK19)
        | ~ big_p(X2) )
    | spl26_1 ),
    inference(resolution,[],[f75,f63]) ).

fof(f63,plain,
    ! [X11,X8,X9] :
      ( sP0
      | big_p(X8)
      | ~ big_q(X9)
      | big_p(sK19)
      | ~ big_p(X11) ),
    inference(cnf_transformation,[],[f36]) ).

fof(f100,plain,
    ( ~ spl26_3
    | spl26_4
    | spl26_5
    | spl26_4
    | spl26_1 ),
    inference(avatar_split_clause,[],[f82,f73,f95,f98,f95,f91]) ).

fof(f82,plain,
    ( ! [X2,X0,X1] :
        ( big_p(X0)
        | ~ big_q(X1)
        | big_p(X2)
        | ~ big_p(sK19) )
    | spl26_1 ),
    inference(resolution,[],[f75,f62]) ).

fof(f62,plain,
    ! [X11,X8,X9] :
      ( sP0
      | big_p(X8)
      | ~ big_q(X9)
      | big_p(X11)
      | ~ big_p(sK19) ),
    inference(cnf_transformation,[],[f36]) ).

fof(f81,plain,
    ( spl26_1
    | spl26_2 ),
    inference(avatar_split_clause,[],[f70,f77,f73]) ).

fof(f70,plain,
    ( sP1
    | sP0 ),
    inference(cnf_transformation,[],[f37]) ).

fof(f37,plain,
    ( ( ~ sP1
      | ~ sP0 )
    & ( sP1
      | sP0 ) ),
    inference(nnf_transformation,[],[f6]) ).

fof(f6,plain,
    ( sP0
  <~> sP1 ),
    inference(definition_folding,[],[f3,f5,f4]) ).

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

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

fof(f1,conjecture,
    ( ( ? [X0] :
        ! [X1] :
          ( big_p(X0)
        <=> big_p(X1) )
    <=> ( ? [X2] : big_q(X2)
      <=> ! [X3] : big_p(X3) ) )
  <=> ( ? [X4] :
        ! [X5] :
          ( big_q(X4)
        <=> big_q(X5) )
    <=> ( ? [X6] : big_p(X6)
      <=> ! [X7] : big_q(X7) ) ) ),
    file('/export/starexec/sandbox/tmp/tmp.27k7cyagM6/Vampire---4.8_7324',pel34) ).

fof(f80,plain,
    ( ~ spl26_1
    | ~ spl26_2 ),
    inference(avatar_split_clause,[],[f71,f77,f73]) ).

fof(f71,plain,
    ( ~ sP1
    | ~ sP0 ),
    inference(cnf_transformation,[],[f37]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13  % Problem    : SYN036+2 : TPTP v8.1.2. Released v2.0.0.
% 0.12/0.15  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.15/0.36  % Computer : n012.cluster.edu
% 0.15/0.36  % Model    : x86_64 x86_64
% 0.15/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36  % Memory   : 8042.1875MB
% 0.15/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36  % CPULimit   : 300
% 0.15/0.36  % WCLimit    : 300
% 0.15/0.36  % DateTime   : Fri May  3 17:22:08 EDT 2024
% 0.15/0.36  % CPUTime    : 
% 0.15/0.36  This is a FOF_THM_RFO_NEQ problem
% 0.15/0.36  Running vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t 300 /export/starexec/sandbox/tmp/tmp.27k7cyagM6/Vampire---4.8_7324
% 0.56/0.75  % (7745)lrs-21_1:1_to=lpo:sil=2000:sp=frequency:sos=on:lma=on:i=56:sd=2:ss=axioms:ep=R_0 on Vampire---4 for (2996ds/56Mi)
% 0.56/0.75  % (7738)dis-1011_2:1_sil=2000:lsd=20:nwc=5.0:flr=on:mep=off:st=3.0:i=34:sd=1:ep=RS:ss=axioms_0 on Vampire---4 for (2996ds/34Mi)
% 0.56/0.75  % (7740)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.56/0.75  % (7739)lrs+1011_461:32768_sil=16000:irw=on:sp=frequency:lsd=20:fd=preordered:nwc=10.0:s2agt=32:alpa=false:cond=fast:s2a=on:i=51:s2at=3.0:awrs=decay:awrsf=691:bd=off:nm=20:fsr=off:amm=sco:uhcvi=on:rawr=on_0 on Vampire---4 for (2996ds/51Mi)
% 0.56/0.75  % (7741)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on Vampire---4 for (2996ds/33Mi)
% 0.56/0.75  % (7742)lrs+2_1:1_sil=16000:fde=none:sos=all:nwc=5.0:i=34:ep=RS:s2pl=on:lma=on:afp=100000_0 on Vampire---4 for (2996ds/34Mi)
% 0.56/0.75  % (7743)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on Vampire---4 for (2996ds/45Mi)
% 0.56/0.75  % (7744)lrs+21_1:5_sil=2000:sos=on:urr=on:newcnf=on:slsq=on:i=83:slsql=off:bd=off:nm=2:ss=axioms:st=1.5:sp=const_min:gsp=on:rawr=on_0 on Vampire---4 for (2996ds/83Mi)
% 0.56/0.75  % (7743)Refutation not found, incomplete strategy% (7743)------------------------------
% 0.56/0.75  % (7743)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.56/0.75  % (7743)Termination reason: Refutation not found, incomplete strategy
% 0.56/0.75  
% 0.56/0.75  % (7743)Memory used [KB]: 965
% 0.56/0.75  % (7743)Time elapsed: 0.003 s
% 0.56/0.75  % (7743)Instructions burned: 3 (million)
% 0.56/0.75  % (7743)------------------------------
% 0.56/0.75  % (7743)------------------------------
% 0.56/0.75  % (7745)First to succeed.
% 0.56/0.75  % (7744)Also succeeded, but the first one will report.
% 0.56/0.75  % (7739)Also succeeded, but the first one will report.
% 0.56/0.75  % (7738)Also succeeded, but the first one will report.
% 0.56/0.75  % (7740)Also succeeded, but the first one will report.
% 0.56/0.75  % (7745)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-7589"
% 0.56/0.75  % (7745)Refutation found. Thanks to Tanya!
% 0.56/0.75  % SZS status Theorem for Vampire---4
% 0.56/0.75  % SZS output start Proof for Vampire---4
% See solution above
% 0.56/0.75  % (7745)------------------------------
% 0.56/0.75  % (7745)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.56/0.75  % (7745)Termination reason: Refutation
% 0.56/0.75  
% 0.56/0.75  % (7745)Memory used [KB]: 1198
% 0.56/0.75  % (7745)Time elapsed: 0.006 s
% 0.56/0.75  % (7745)Instructions burned: 13 (million)
% 0.56/0.75  % (7589)Success in time 0.379 s
% 0.56/0.75  % Vampire---4.8 exiting
%------------------------------------------------------------------------------