TSTP Solution File: PUZ031+3 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : PUZ031+3 : TPTP v8.2.0. Released v4.1.0.
% 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 : n002.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 : Tue May 21 02:27:51 EDT 2024

% Result   : Theorem 0.67s 0.83s
% Output   : Refutation 0.67s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   18
%            Number of leaves      :   35
% Syntax   : Number of formulae    :  157 (  24 unt;   0 def)
%            Number of atoms       :  496 (   0 equ)
%            Maximal formula atoms :   10 (   3 avg)
%            Number of connectives :  608 ( 269   ~; 263   |;  34   &)
%                                         (   8 <=>;  34  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   13 (   5 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :   18 (  17 usr;   9 prp; 0-2 aty)
%            Number of functors    :    7 (   7 usr;   6 con; 0-1 aty)
%            Number of variables   :  194 ( 167   !;  27   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f393,plain,
    $false,
    inference(avatar_sat_refutation,[],[f178,f195,f218,f226,f281,f288,f326,f356,f391]) ).

fof(f391,plain,
    ~ spl10_25,
    inference(avatar_contradiction_clause,[],[f390]) ).

fof(f390,plain,
    ( $false
    | ~ spl10_25 ),
    inference(subsumption_resolution,[],[f387,f108]) ).

fof(f108,plain,
    wolf(sK4),
    inference(cnf_transformation,[],[f82]) ).

fof(f82,plain,
    wolf(sK4),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK4])],[f4,f81]) ).

fof(f81,plain,
    ( ? [X0] : wolf(X0)
   => wolf(sK4) ),
    introduced(choice_axiom,[]) ).

fof(f4,axiom,
    ? [X0] : wolf(X0),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',wolf_type) ).

fof(f387,plain,
    ( ~ wolf(sK4)
    | ~ spl10_25 ),
    inference(resolution,[],[f375,f122]) ).

fof(f122,plain,
    ! [X0] :
      ( ~ eats(X0,sK1)
      | ~ wolf(X0) ),
    inference(resolution,[],[f95,f97]) ).

fof(f97,plain,
    grain(sK1),
    inference(cnf_transformation,[],[f76]) ).

fof(f76,plain,
    grain(sK1),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK1])],[f16,f75]) ).

fof(f75,plain,
    ( ? [X0] : grain(X0)
   => grain(sK1) ),
    introduced(choice_axiom,[]) ).

fof(f16,axiom,
    ? [X0] : grain(X0),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',grain_type) ).

fof(f95,plain,
    ! [X0,X1] :
      ( ~ grain(X1)
      | ~ eats(X0,X1)
      | ~ wolf(X0) ),
    inference(cnf_transformation,[],[f48]) ).

fof(f48,plain,
    ! [X0,X1] :
      ( ~ eats(X0,X1)
      | ~ grain(X1)
      | ~ wolf(X0) ),
    inference(flattening,[],[f47]) ).

fof(f47,plain,
    ! [X0,X1] :
      ( ~ eats(X0,X1)
      | ~ grain(X1)
      | ~ wolf(X0) ),
    inference(ennf_transformation,[],[f32]) ).

fof(f32,plain,
    ! [X0,X1] :
      ( ( grain(X1)
        & wolf(X0) )
     => ~ eats(X0,X1) ),
    inference(rectify,[],[f24]) ).

fof(f24,axiom,
    ! [X1,X2] :
      ( ( grain(X2)
        & wolf(X1) )
     => ~ eats(X1,X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',pel47_11a) ).

fof(f375,plain,
    ( eats(sK4,sK1)
    | ~ spl10_25 ),
    inference(resolution,[],[f357,f97]) ).

fof(f357,plain,
    ( ! [X0] :
        ( ~ grain(X0)
        | eats(sK4,X0) )
    | ~ spl10_25 ),
    inference(resolution,[],[f325,f96]) ).

fof(f96,plain,
    ! [X0] :
      ( plant(X0)
      | ~ grain(X0) ),
    inference(cnf_transformation,[],[f49]) ).

fof(f49,plain,
    ! [X0] :
      ( plant(X0)
      | ~ grain(X0) ),
    inference(ennf_transformation,[],[f17]) ).

fof(f17,axiom,
    ! [X0] :
      ( grain(X0)
     => plant(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',grain_is_plant) ).

fof(f325,plain,
    ( ! [X0] :
        ( ~ plant(X0)
        | eats(sK4,X0) )
    | ~ spl10_25 ),
    inference(avatar_component_clause,[],[f324]) ).

fof(f324,plain,
    ( spl10_25
  <=> ! [X0] :
        ( eats(sK4,X0)
        | ~ plant(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl10_25])]) ).

fof(f356,plain,
    spl10_24,
    inference(avatar_contradiction_clause,[],[f355]) ).

fof(f355,plain,
    ( $false
    | spl10_24 ),
    inference(subsumption_resolution,[],[f354,f120]) ).

fof(f120,plain,
    fox(sK9),
    inference(cnf_transformation,[],[f92]) ).

fof(f92,plain,
    fox(sK9),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK9])],[f6,f91]) ).

fof(f91,plain,
    ( ? [X0] : fox(X0)
   => fox(sK9) ),
    introduced(choice_axiom,[]) ).

fof(f6,axiom,
    ? [X0] : fox(X0),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fox_type) ).

fof(f354,plain,
    ( ~ fox(sK9)
    | spl10_24 ),
    inference(subsumption_resolution,[],[f330,f108]) ).

fof(f330,plain,
    ( ~ wolf(sK4)
    | ~ fox(sK9)
    | spl10_24 ),
    inference(resolution,[],[f322,f106]) ).

fof(f106,plain,
    ! [X0,X1] :
      ( much_smaller(X0,X1)
      | ~ wolf(X1)
      | ~ fox(X0) ),
    inference(cnf_transformation,[],[f61]) ).

fof(f61,plain,
    ! [X0,X1] :
      ( much_smaller(X0,X1)
      | ~ wolf(X1)
      | ~ fox(X0) ),
    inference(flattening,[],[f60]) ).

fof(f60,plain,
    ! [X0,X1] :
      ( much_smaller(X0,X1)
      | ~ wolf(X1)
      | ~ fox(X0) ),
    inference(ennf_transformation,[],[f39]) ).

fof(f39,plain,
    ! [X0,X1] :
      ( ( wolf(X1)
        & fox(X0) )
     => much_smaller(X0,X1) ),
    inference(rectify,[],[f22]) ).

fof(f22,axiom,
    ! [X1,X2] :
      ( ( wolf(X2)
        & fox(X1) )
     => much_smaller(X1,X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',pel47_10) ).

fof(f322,plain,
    ( ~ much_smaller(sK9,sK4)
    | spl10_24 ),
    inference(avatar_component_clause,[],[f320]) ).

fof(f320,plain,
    ( spl10_24
  <=> much_smaller(sK9,sK4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl10_24])]) ).

fof(f326,plain,
    ( ~ spl10_24
    | spl10_25
    | ~ spl10_20 ),
    inference(avatar_split_clause,[],[f318,f279,f324,f320]) ).

fof(f279,plain,
    ( spl10_20
  <=> ! [X0,X1] :
        ( eats(X0,sK9)
        | ~ animal(X0)
        | ~ plant(X1)
        | eats(X0,X1)
        | ~ much_smaller(sK9,X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl10_20])]) ).

fof(f318,plain,
    ( ! [X0] :
        ( eats(sK4,X0)
        | ~ much_smaller(sK9,sK4)
        | ~ plant(X0) )
    | ~ spl10_20 ),
    inference(resolution,[],[f300,f108]) ).

fof(f300,plain,
    ( ! [X0,X1] :
        ( ~ wolf(X0)
        | eats(X0,X1)
        | ~ much_smaller(sK9,X0)
        | ~ plant(X1) )
    | ~ spl10_20 ),
    inference(subsumption_resolution,[],[f296,f107]) ).

fof(f107,plain,
    ! [X0] :
      ( animal(X0)
      | ~ wolf(X0) ),
    inference(cnf_transformation,[],[f62]) ).

fof(f62,plain,
    ! [X0] :
      ( animal(X0)
      | ~ wolf(X0) ),
    inference(ennf_transformation,[],[f5]) ).

fof(f5,axiom,
    ! [X0] :
      ( wolf(X0)
     => animal(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',wolf_is_animal) ).

fof(f296,plain,
    ( ! [X0,X1] :
        ( ~ animal(X0)
        | ~ plant(X1)
        | eats(X0,X1)
        | ~ much_smaller(sK9,X0)
        | ~ wolf(X0) )
    | ~ spl10_20 ),
    inference(resolution,[],[f280,f125]) ).

fof(f125,plain,
    ! [X0] :
      ( ~ eats(X0,sK9)
      | ~ wolf(X0) ),
    inference(resolution,[],[f104,f120]) ).

fof(f104,plain,
    ! [X0,X1] :
      ( ~ fox(X1)
      | ~ eats(X0,X1)
      | ~ wolf(X0) ),
    inference(cnf_transformation,[],[f57]) ).

fof(f57,plain,
    ! [X0,X1] :
      ( ~ eats(X0,X1)
      | ~ fox(X1)
      | ~ wolf(X0) ),
    inference(flattening,[],[f56]) ).

fof(f56,plain,
    ! [X0,X1] :
      ( ~ eats(X0,X1)
      | ~ fox(X1)
      | ~ wolf(X0) ),
    inference(ennf_transformation,[],[f37]) ).

fof(f37,plain,
    ! [X0,X1] :
      ( ( fox(X1)
        & wolf(X0) )
     => ~ eats(X0,X1) ),
    inference(rectify,[],[f23]) ).

fof(f23,axiom,
    ! [X1,X2] :
      ( ( fox(X2)
        & wolf(X1) )
     => ~ eats(X1,X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',pel47_11) ).

fof(f280,plain,
    ( ! [X0,X1] :
        ( eats(X0,sK9)
        | ~ animal(X0)
        | ~ plant(X1)
        | eats(X0,X1)
        | ~ much_smaller(sK9,X0) )
    | ~ spl10_20 ),
    inference(avatar_component_clause,[],[f279]) ).

fof(f288,plain,
    spl10_19,
    inference(avatar_contradiction_clause,[],[f287]) ).

fof(f287,plain,
    ( $false
    | spl10_19 ),
    inference(subsumption_resolution,[],[f282,f120]) ).

fof(f282,plain,
    ( ~ fox(sK9)
    | spl10_19 ),
    inference(resolution,[],[f277,f119]) ).

fof(f119,plain,
    ! [X0] :
      ( animal(X0)
      | ~ fox(X0) ),
    inference(cnf_transformation,[],[f72]) ).

fof(f72,plain,
    ! [X0] :
      ( animal(X0)
      | ~ fox(X0) ),
    inference(ennf_transformation,[],[f7]) ).

fof(f7,axiom,
    ! [X0] :
      ( fox(X0)
     => animal(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fox_is_animal) ).

fof(f277,plain,
    ( ~ animal(sK9)
    | spl10_19 ),
    inference(avatar_component_clause,[],[f275]) ).

fof(f275,plain,
    ( spl10_19
  <=> animal(sK9) ),
    introduced(avatar_definition,[new_symbols(naming,[spl10_19])]) ).

fof(f281,plain,
    ( ~ spl10_19
    | spl10_20
    | ~ spl10_8
    | ~ spl10_13
    | ~ spl10_14 ),
    inference(avatar_split_clause,[],[f273,f216,f212,f176,f279,f275]) ).

fof(f176,plain,
    ( spl10_8
  <=> ! [X0] :
        ( ~ plant(X0)
        | eats(sK8,X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl10_8])]) ).

fof(f212,plain,
    ( spl10_13
  <=> animal(sK8) ),
    introduced(avatar_definition,[new_symbols(naming,[spl10_13])]) ).

fof(f216,plain,
    ( spl10_14
  <=> ! [X0,X1] :
        ( eats(X0,sK8)
        | ~ animal(X0)
        | ~ plant(X1)
        | eats(X0,X1)
        | ~ much_smaller(sK8,X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl10_14])]) ).

fof(f273,plain,
    ( ! [X0,X1] :
        ( eats(X0,sK9)
        | ~ much_smaller(sK9,X0)
        | ~ animal(sK9)
        | eats(X0,X1)
        | ~ plant(X1)
        | ~ animal(X0) )
    | ~ spl10_8
    | ~ spl10_13
    | ~ spl10_14 ),
    inference(subsumption_resolution,[],[f272,f109]) ).

fof(f109,plain,
    plant(sK5),
    inference(cnf_transformation,[],[f84]) ).

fof(f84,plain,
    plant(sK5),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK5])],[f14,f83]) ).

fof(f83,plain,
    ( ? [X0] : plant(X0)
   => plant(sK5) ),
    introduced(choice_axiom,[]) ).

fof(f14,axiom,
    ? [X0] : plant(X0),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',plant_type) ).

fof(f272,plain,
    ( ! [X0,X1] :
        ( eats(X0,sK9)
        | ~ plant(sK5)
        | ~ much_smaller(sK9,X0)
        | ~ animal(sK9)
        | eats(X0,X1)
        | ~ plant(X1)
        | ~ animal(X0) )
    | ~ spl10_8
    | ~ spl10_13
    | ~ spl10_14 ),
    inference(resolution,[],[f271,f105]) ).

fof(f105,plain,
    ! [X2,X3,X0,X1] :
      ( ~ eats(X1,X2)
      | eats(X0,X1)
      | ~ plant(X2)
      | ~ much_smaller(X1,X0)
      | ~ animal(X1)
      | eats(X0,X3)
      | ~ plant(X3)
      | ~ animal(X0) ),
    inference(cnf_transformation,[],[f59]) ).

fof(f59,plain,
    ! [X0] :
      ( ! [X1] :
          ( eats(X0,X1)
          | ! [X2] :
              ( ~ eats(X1,X2)
              | ~ plant(X2) )
          | ~ much_smaller(X1,X0)
          | ~ animal(X1) )
      | ! [X3] :
          ( eats(X0,X3)
          | ~ plant(X3) )
      | ~ animal(X0) ),
    inference(flattening,[],[f58]) ).

fof(f58,plain,
    ! [X0] :
      ( ! [X1] :
          ( eats(X0,X1)
          | ! [X2] :
              ( ~ eats(X1,X2)
              | ~ plant(X2) )
          | ~ much_smaller(X1,X0)
          | ~ animal(X1) )
      | ! [X3] :
          ( eats(X0,X3)
          | ~ plant(X3) )
      | ~ animal(X0) ),
    inference(ennf_transformation,[],[f38]) ).

fof(f38,plain,
    ! [X0] :
      ( animal(X0)
     => ( ! [X1] :
            ( animal(X1)
           => ( ( ? [X2] :
                    ( eats(X1,X2)
                    & plant(X2) )
                & much_smaller(X1,X0) )
             => eats(X0,X1) ) )
        | ! [X3] :
            ( plant(X3)
           => eats(X0,X3) ) ) ),
    inference(rectify,[],[f18]) ).

fof(f18,axiom,
    ! [X1] :
      ( animal(X1)
     => ( ! [X3] :
            ( animal(X3)
           => ( ( ? [X4] :
                    ( eats(X3,X4)
                    & plant(X4) )
                & much_smaller(X3,X1) )
             => eats(X1,X3) ) )
        | ! [X2] :
            ( plant(X2)
           => eats(X1,X2) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',pel47_7) ).

fof(f271,plain,
    ( eats(sK9,sK5)
    | ~ spl10_8
    | ~ spl10_13
    | ~ spl10_14 ),
    inference(resolution,[],[f267,f109]) ).

fof(f267,plain,
    ( ! [X0] :
        ( ~ plant(X0)
        | eats(sK9,X0) )
    | ~ spl10_8
    | ~ spl10_13
    | ~ spl10_14 ),
    inference(resolution,[],[f246,f120]) ).

fof(f246,plain,
    ( ! [X0,X1] :
        ( ~ fox(X1)
        | eats(X1,X0)
        | ~ plant(X0) )
    | ~ spl10_8
    | ~ spl10_13
    | ~ spl10_14 ),
    inference(subsumption_resolution,[],[f245,f119]) ).

fof(f245,plain,
    ( ! [X0,X1] :
        ( ~ plant(X0)
        | eats(X1,X0)
        | ~ animal(X1)
        | ~ fox(X1) )
    | ~ spl10_8
    | ~ spl10_13
    | ~ spl10_14 ),
    inference(subsumption_resolution,[],[f241,f118]) ).

fof(f118,plain,
    bird(sK8),
    inference(cnf_transformation,[],[f90]) ).

fof(f90,plain,
    bird(sK8),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK8])],[f8,f89]) ).

fof(f89,plain,
    ( ? [X0] : bird(X0)
   => bird(sK8) ),
    introduced(choice_axiom,[]) ).

fof(f8,axiom,
    ? [X0] : bird(X0),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',bird_type) ).

fof(f241,plain,
    ( ! [X0,X1] :
        ( ~ plant(X0)
        | eats(X1,X0)
        | ~ animal(X1)
        | ~ fox(X1)
        | ~ bird(sK8) )
    | ~ spl10_8
    | ~ spl10_13
    | ~ spl10_14 ),
    inference(resolution,[],[f240,f116]) ).

fof(f116,plain,
    ! [X0,X1] :
      ( much_smaller(X0,X1)
      | ~ fox(X1)
      | ~ bird(X0) ),
    inference(cnf_transformation,[],[f70]) ).

fof(f70,plain,
    ! [X0,X1] :
      ( much_smaller(X0,X1)
      | ~ fox(X1)
      | ~ bird(X0) ),
    inference(flattening,[],[f69]) ).

fof(f69,plain,
    ! [X0,X1] :
      ( much_smaller(X0,X1)
      | ~ fox(X1)
      | ~ bird(X0) ),
    inference(ennf_transformation,[],[f42]) ).

fof(f42,plain,
    ! [X0,X1] :
      ( ( fox(X1)
        & bird(X0) )
     => much_smaller(X0,X1) ),
    inference(rectify,[],[f21]) ).

fof(f21,axiom,
    ! [X1,X2] :
      ( ( fox(X2)
        & bird(X1) )
     => much_smaller(X1,X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',pel47_9) ).

fof(f240,plain,
    ( ! [X0,X1] :
        ( ~ much_smaller(sK8,X0)
        | ~ plant(X1)
        | eats(X0,X1)
        | ~ animal(X0) )
    | ~ spl10_8
    | ~ spl10_13
    | ~ spl10_14 ),
    inference(duplicate_literal_removal,[],[f236]) ).

fof(f236,plain,
    ( ! [X0,X1] :
        ( ~ animal(X0)
        | ~ plant(X1)
        | eats(X0,X1)
        | ~ much_smaller(sK8,X0)
        | ~ animal(X0) )
    | ~ spl10_8
    | ~ spl10_13
    | ~ spl10_14 ),
    inference(resolution,[],[f217,f234]) ).

fof(f234,plain,
    ( ! [X0] :
        ( ~ eats(X0,sK8)
        | ~ animal(X0) )
    | ~ spl10_8
    | ~ spl10_13 ),
    inference(subsumption_resolution,[],[f231,f213]) ).

fof(f213,plain,
    ( animal(sK8)
    | ~ spl10_13 ),
    inference(avatar_component_clause,[],[f212]) ).

fof(f231,plain,
    ( ! [X0] :
        ( ~ eats(X0,sK8)
        | ~ animal(sK8)
        | ~ animal(X0) )
    | ~ spl10_8 ),
    inference(resolution,[],[f228,f121]) ).

fof(f121,plain,
    ! [X0,X1] :
      ( ~ eats(X0,sK1)
      | ~ eats(X1,X0)
      | ~ animal(X0)
      | ~ animal(X1) ),
    inference(resolution,[],[f97,f93]) ).

fof(f93,plain,
    ! [X2,X0,X1] :
      ( ~ grain(X2)
      | ~ eats(X1,X2)
      | ~ eats(X0,X1)
      | ~ animal(X1)
      | ~ animal(X0) ),
    inference(cnf_transformation,[],[f46]) ).

fof(f46,plain,
    ! [X0,X1,X2] :
      ( ~ eats(X0,X1)
      | ~ eats(X1,X2)
      | ~ grain(X2)
      | ~ animal(X1)
      | ~ animal(X0) ),
    inference(ennf_transformation,[],[f31]) ).

fof(f31,plain,
    ~ ? [X0,X1,X2] :
        ( eats(X0,X1)
        & eats(X1,X2)
        & grain(X2)
        & animal(X1)
        & animal(X0) ),
    inference(rectify,[],[f30]) ).

fof(f30,negated_conjecture,
    ~ ? [X1,X2,X4] :
        ( eats(X1,X2)
        & eats(X2,X4)
        & grain(X4)
        & animal(X2)
        & animal(X1) ),
    inference(negated_conjecture,[],[f29]) ).

fof(f29,conjecture,
    ? [X1,X2,X4] :
      ( eats(X1,X2)
      & eats(X2,X4)
      & grain(X4)
      & animal(X2)
      & animal(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',pel47) ).

fof(f228,plain,
    ( eats(sK8,sK1)
    | ~ spl10_8 ),
    inference(resolution,[],[f205,f97]) ).

fof(f205,plain,
    ( ! [X0] :
        ( ~ grain(X0)
        | eats(sK8,X0) )
    | ~ spl10_8 ),
    inference(resolution,[],[f177,f96]) ).

fof(f177,plain,
    ( ! [X0] :
        ( ~ plant(X0)
        | eats(sK8,X0) )
    | ~ spl10_8 ),
    inference(avatar_component_clause,[],[f176]) ).

fof(f217,plain,
    ( ! [X0,X1] :
        ( eats(X0,sK8)
        | ~ animal(X0)
        | ~ plant(X1)
        | eats(X0,X1)
        | ~ much_smaller(sK8,X0) )
    | ~ spl10_14 ),
    inference(avatar_component_clause,[],[f216]) ).

fof(f226,plain,
    spl10_13,
    inference(avatar_contradiction_clause,[],[f225]) ).

fof(f225,plain,
    ( $false
    | spl10_13 ),
    inference(subsumption_resolution,[],[f220,f118]) ).

fof(f220,plain,
    ( ~ bird(sK8)
    | spl10_13 ),
    inference(resolution,[],[f214,f117]) ).

fof(f117,plain,
    ! [X0] :
      ( animal(X0)
      | ~ bird(X0) ),
    inference(cnf_transformation,[],[f71]) ).

fof(f71,plain,
    ! [X0] :
      ( animal(X0)
      | ~ bird(X0) ),
    inference(ennf_transformation,[],[f9]) ).

fof(f9,axiom,
    ! [X0] :
      ( bird(X0)
     => animal(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',bird_is_animal) ).

fof(f214,plain,
    ( ~ animal(sK8)
    | spl10_13 ),
    inference(avatar_component_clause,[],[f212]) ).

fof(f218,plain,
    ( ~ spl10_13
    | spl10_14
    | ~ spl10_8 ),
    inference(avatar_split_clause,[],[f210,f176,f216,f212]) ).

fof(f210,plain,
    ( ! [X0,X1] :
        ( eats(X0,sK8)
        | ~ much_smaller(sK8,X0)
        | ~ animal(sK8)
        | eats(X0,X1)
        | ~ plant(X1)
        | ~ animal(X0) )
    | ~ spl10_8 ),
    inference(subsumption_resolution,[],[f209,f109]) ).

fof(f209,plain,
    ( ! [X0,X1] :
        ( eats(X0,sK8)
        | ~ plant(sK5)
        | ~ much_smaller(sK8,X0)
        | ~ animal(sK8)
        | eats(X0,X1)
        | ~ plant(X1)
        | ~ animal(X0) )
    | ~ spl10_8 ),
    inference(resolution,[],[f208,f105]) ).

fof(f208,plain,
    ( eats(sK8,sK5)
    | ~ spl10_8 ),
    inference(resolution,[],[f177,f109]) ).

fof(f195,plain,
    spl10_7,
    inference(avatar_contradiction_clause,[],[f194]) ).

fof(f194,plain,
    ( $false
    | spl10_7 ),
    inference(subsumption_resolution,[],[f193,f118]) ).

fof(f193,plain,
    ( ~ bird(sK8)
    | spl10_7 ),
    inference(subsumption_resolution,[],[f181,f112]) ).

fof(f112,plain,
    snail(sK6),
    inference(cnf_transformation,[],[f86]) ).

fof(f86,plain,
    snail(sK6),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK6])],[f12,f85]) ).

fof(f85,plain,
    ( ? [X0] : snail(X0)
   => snail(sK6) ),
    introduced(choice_axiom,[]) ).

fof(f12,axiom,
    ? [X0] : snail(X0),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',snail_type) ).

fof(f181,plain,
    ( ~ snail(sK6)
    | ~ bird(sK8)
    | spl10_7 ),
    inference(resolution,[],[f174,f110]) ).

fof(f110,plain,
    ! [X0,X1] :
      ( much_smaller(X1,X0)
      | ~ snail(X1)
      | ~ bird(X0) ),
    inference(cnf_transformation,[],[f64]) ).

fof(f64,plain,
    ! [X0,X1] :
      ( much_smaller(X1,X0)
      | ~ snail(X1)
      | ~ bird(X0) ),
    inference(flattening,[],[f63]) ).

fof(f63,plain,
    ! [X0,X1] :
      ( much_smaller(X1,X0)
      | ~ snail(X1)
      | ~ bird(X0) ),
    inference(ennf_transformation,[],[f40]) ).

fof(f40,plain,
    ! [X0,X1] :
      ( ( snail(X1)
        & bird(X0) )
     => much_smaller(X1,X0) ),
    inference(rectify,[],[f19]) ).

fof(f19,axiom,
    ! [X2,X1] :
      ( ( snail(X1)
        & bird(X2) )
     => much_smaller(X1,X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',pel47_8) ).

fof(f174,plain,
    ( ~ much_smaller(sK6,sK8)
    | spl10_7 ),
    inference(avatar_component_clause,[],[f172]) ).

fof(f172,plain,
    ( spl10_7
  <=> much_smaller(sK6,sK8) ),
    introduced(avatar_definition,[new_symbols(naming,[spl10_7])]) ).

fof(f178,plain,
    ( ~ spl10_7
    | spl10_8 ),
    inference(avatar_split_clause,[],[f170,f176,f172]) ).

fof(f170,plain,
    ! [X0] :
      ( ~ plant(X0)
      | ~ much_smaller(sK6,sK8)
      | eats(sK8,X0) ),
    inference(resolution,[],[f149,f118]) ).

fof(f149,plain,
    ! [X0,X1] :
      ( ~ bird(X0)
      | ~ plant(X1)
      | ~ much_smaller(sK6,X0)
      | eats(X0,X1) ),
    inference(subsumption_resolution,[],[f145,f117]) ).

fof(f145,plain,
    ! [X0,X1] :
      ( eats(X0,X1)
      | ~ plant(X1)
      | ~ animal(X0)
      | ~ much_smaller(sK6,X0)
      | ~ bird(X0) ),
    inference(resolution,[],[f142,f123]) ).

fof(f123,plain,
    ! [X0] :
      ( ~ eats(X0,sK6)
      | ~ bird(X0) ),
    inference(resolution,[],[f102,f112]) ).

fof(f102,plain,
    ! [X0,X1] :
      ( ~ snail(X1)
      | ~ eats(X0,X1)
      | ~ bird(X0) ),
    inference(cnf_transformation,[],[f53]) ).

fof(f53,plain,
    ! [X0,X1] :
      ( ~ eats(X0,X1)
      | ~ snail(X1)
      | ~ bird(X0) ),
    inference(flattening,[],[f52]) ).

fof(f52,plain,
    ! [X0,X1] :
      ( ~ eats(X0,X1)
      | ~ snail(X1)
      | ~ bird(X0) ),
    inference(ennf_transformation,[],[f35]) ).

fof(f35,plain,
    ! [X0,X1] :
      ( ( snail(X1)
        & bird(X0) )
     => ~ eats(X0,X1) ),
    inference(rectify,[],[f26]) ).

fof(f26,axiom,
    ! [X1,X2] :
      ( ( snail(X2)
        & bird(X1) )
     => ~ eats(X1,X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',pel47_13) ).

fof(f142,plain,
    ! [X0,X1] :
      ( eats(X0,sK6)
      | eats(X0,X1)
      | ~ plant(X1)
      | ~ animal(X0)
      | ~ much_smaller(sK6,X0) ),
    inference(resolution,[],[f130,f112]) ).

fof(f130,plain,
    ! [X2,X0,X1] :
      ( ~ snail(X1)
      | ~ much_smaller(X1,X0)
      | eats(X0,X2)
      | ~ plant(X2)
      | ~ animal(X0)
      | eats(X0,X1) ),
    inference(subsumption_resolution,[],[f129,f98]) ).

fof(f98,plain,
    ! [X0] :
      ( plant(sK2(X0))
      | ~ snail(X0) ),
    inference(cnf_transformation,[],[f78]) ).

fof(f78,plain,
    ! [X0] :
      ( ( eats(X0,sK2(X0))
        & plant(sK2(X0)) )
      | ~ snail(X0) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK2])],[f50,f77]) ).

fof(f77,plain,
    ! [X0] :
      ( ? [X1] :
          ( eats(X0,X1)
          & plant(X1) )
     => ( eats(X0,sK2(X0))
        & plant(sK2(X0)) ) ),
    introduced(choice_axiom,[]) ).

fof(f50,plain,
    ! [X0] :
      ( ? [X1] :
          ( eats(X0,X1)
          & plant(X1) )
      | ~ snail(X0) ),
    inference(ennf_transformation,[],[f33]) ).

fof(f33,plain,
    ! [X0] :
      ( snail(X0)
     => ? [X1] :
          ( eats(X0,X1)
          & plant(X1) ) ),
    inference(rectify,[],[f28]) ).

fof(f28,axiom,
    ! [X1] :
      ( snail(X1)
     => ? [X2] :
          ( eats(X1,X2)
          & plant(X2) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',pel47_14a) ).

fof(f129,plain,
    ! [X2,X0,X1] :
      ( eats(X0,X1)
      | ~ plant(sK2(X1))
      | ~ much_smaller(X1,X0)
      | eats(X0,X2)
      | ~ plant(X2)
      | ~ animal(X0)
      | ~ snail(X1) ),
    inference(subsumption_resolution,[],[f126,f111]) ).

fof(f111,plain,
    ! [X0] :
      ( animal(X0)
      | ~ snail(X0) ),
    inference(cnf_transformation,[],[f65]) ).

fof(f65,plain,
    ! [X0] :
      ( animal(X0)
      | ~ snail(X0) ),
    inference(ennf_transformation,[],[f13]) ).

fof(f13,axiom,
    ! [X0] :
      ( snail(X0)
     => animal(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',snail_is_animal) ).

fof(f126,plain,
    ! [X2,X0,X1] :
      ( eats(X0,X1)
      | ~ plant(sK2(X1))
      | ~ much_smaller(X1,X0)
      | ~ animal(X1)
      | eats(X0,X2)
      | ~ plant(X2)
      | ~ animal(X0)
      | ~ snail(X1) ),
    inference(resolution,[],[f105,f99]) ).

fof(f99,plain,
    ! [X0] :
      ( eats(X0,sK2(X0))
      | ~ snail(X0) ),
    inference(cnf_transformation,[],[f78]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11  % Problem    : PUZ031+3 : TPTP v8.2.0. Released v4.1.0.
% 0.03/0.13  % 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
% 0.12/0.33  % Computer : n002.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit   : 300
% 0.12/0.33  % WCLimit    : 300
% 0.12/0.33  % DateTime   : Sat May 18 10:29:52 EDT 2024
% 0.12/0.33  % CPUTime    : 
% 0.12/0.33  This is a FOF_THM_RFO_NEQ problem
% 0.12/0.34  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/benchmark/theBenchmark.p
% 0.60/0.82  % (8164)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 theBenchmark for (2995ds/34Mi)
% 0.60/0.82  % (8166)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on theBenchmark for (2995ds/78Mi)
% 0.60/0.82  % (8167)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on theBenchmark for (2995ds/33Mi)
% 0.60/0.82  % (8168)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 theBenchmark for (2995ds/34Mi)
% 0.60/0.82  % (8165)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 theBenchmark for (2995ds/51Mi)
% 0.60/0.82  % (8169)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on theBenchmark for (2995ds/45Mi)
% 0.60/0.82  % (8170)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 theBenchmark for (2995ds/83Mi)
% 0.60/0.82  % (8171)lrs-21_1:1_to=lpo:sil=2000:sp=frequency:sos=on:lma=on:i=56:sd=2:ss=axioms:ep=R_0 on theBenchmark for (2995ds/56Mi)
% 0.60/0.82  % (8167)Refutation not found, incomplete strategy% (8167)------------------------------
% 0.60/0.82  % (8167)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.82  % (8164)Refutation not found, incomplete strategy% (8164)------------------------------
% 0.60/0.82  % (8164)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.82  % (8164)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.82  
% 0.60/0.82  % (8164)Memory used [KB]: 950
% 0.60/0.82  % (8164)Time elapsed: 0.002 s
% 0.60/0.82  % (8164)Instructions burned: 2 (million)
% 0.60/0.82  % (8167)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.82  
% 0.60/0.82  % (8167)Memory used [KB]: 948
% 0.60/0.82  % (8167)Time elapsed: 0.002 s
% 0.60/0.82  % (8167)Instructions burned: 2 (million)
% 0.60/0.82  % (8171)Refutation not found, incomplete strategy% (8171)------------------------------
% 0.60/0.82  % (8171)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.82  % (8171)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.82  % (8164)------------------------------
% 0.60/0.82  % (8164)------------------------------
% 0.60/0.82  
% 0.60/0.82  % (8171)Memory used [KB]: 949
% 0.60/0.82  % (8171)Time elapsed: 0.002 s
% 0.60/0.82  % (8167)------------------------------
% 0.60/0.82  % (8167)------------------------------
% 0.60/0.82  % (8171)Instructions burned: 2 (million)
% 0.60/0.82  % (8171)------------------------------
% 0.60/0.82  % (8171)------------------------------
% 0.60/0.82  % (8169)Refutation not found, incomplete strategy% (8169)------------------------------
% 0.60/0.82  % (8169)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.82  % (8169)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.82  
% 0.60/0.82  % (8169)Memory used [KB]: 1067
% 0.60/0.82  % (8169)Time elapsed: 0.004 s
% 0.60/0.82  % (8169)Instructions burned: 3 (million)
% 0.60/0.82  % (8169)------------------------------
% 0.60/0.82  % (8169)------------------------------
% 0.60/0.82  % (8170)Refutation not found, incomplete strategy% (8170)------------------------------
% 0.60/0.82  % (8170)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.82  % (8170)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.82  
% 0.60/0.82  % (8170)Memory used [KB]: 1064
% 0.60/0.82  % (8170)Time elapsed: 0.004 s
% 0.60/0.82  % (8170)Instructions burned: 4 (million)
% 0.60/0.82  % (8170)------------------------------
% 0.60/0.82  % (8170)------------------------------
% 0.60/0.83  % (8172)lrs+21_1:16_sil=2000:sp=occurrence:urr=on:flr=on:i=55:sd=1:nm=0:ins=3:ss=included:rawr=on:br=off_0 on theBenchmark for (2995ds/55Mi)
% 0.60/0.83  % (8174)lrs+1010_1:2_sil=4000:tgt=ground:nwc=10.0:st=2.0:i=208:sd=1:bd=off:ss=axioms_0 on theBenchmark for (2995ds/208Mi)
% 0.60/0.83  % (8173)dis+3_25:4_sil=16000:sos=all:erd=off:i=50:s2at=4.0:bd=off:nm=60:sup=off:cond=on:av=off:ins=2:nwc=10.0:etr=on:to=lpo:s2agt=20:fd=off:bsr=unit_only:slsq=on:slsqr=28,19:awrs=converge:awrsf=500:tgt=ground:bs=unit_only_0 on theBenchmark for (2995ds/50Mi)
% 0.60/0.83  % (8168)Refutation not found, incomplete strategy% (8168)------------------------------
% 0.60/0.83  % (8168)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.83  % (8168)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.83  
% 0.60/0.83  % (8168)Memory used [KB]: 1131
% 0.60/0.83  % (8168)Time elapsed: 0.006 s
% 0.60/0.83  % (8168)Instructions burned: 8 (million)
% 0.60/0.83  % (8166)First to succeed.
% 0.60/0.83  % (8174)Refutation not found, incomplete strategy% (8174)------------------------------
% 0.60/0.83  % (8174)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.83  % (8174)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.83  
% 0.60/0.83  % (8174)Memory used [KB]: 950
% 0.60/0.83  % (8174)Time elapsed: 0.002 s
% 0.60/0.83  % (8174)Instructions burned: 2 (million)
% 0.60/0.83  % (8168)------------------------------
% 0.60/0.83  % (8168)------------------------------
% 0.60/0.83  % (8174)------------------------------
% 0.60/0.83  % (8174)------------------------------
% 0.67/0.83  % (8175)lrs-1011_1:1_sil=4000:plsq=on:plsqr=32,1:sp=frequency:plsql=on:nwc=10.0:i=52:aac=none:afr=on:ss=axioms:er=filter:sgt=16:rawr=on:etr=on:lma=on_0 on theBenchmark for (2995ds/52Mi)
% 0.67/0.83  % (8176)lrs-1010_1:1_to=lpo:sil=2000:sp=reverse_arity:sos=on:urr=ec_only:i=518:sd=2:bd=off:ss=axioms:sgt=16_0 on theBenchmark for (2995ds/518Mi)
% 0.67/0.83  % (8172)Also succeeded, but the first one will report.
% 0.67/0.83  % (8165)Also succeeded, but the first one will report.
% 0.67/0.83  % (8166)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-8163"
% 0.67/0.83  % (8166)Refutation found. Thanks to Tanya!
% 0.67/0.83  % SZS status Theorem for theBenchmark
% 0.67/0.83  % SZS output start Proof for theBenchmark
% See solution above
% 0.67/0.83  % (8166)------------------------------
% 0.67/0.83  % (8166)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.67/0.83  % (8166)Termination reason: Refutation
% 0.67/0.83  
% 0.67/0.83  % (8166)Memory used [KB]: 1138
% 0.67/0.83  % (8166)Time elapsed: 0.009 s
% 0.67/0.83  % (8166)Instructions burned: 12 (million)
% 0.67/0.83  % (8163)Success in time 0.487 s
% 0.67/0.83  % Vampire---4.8 exiting
%------------------------------------------------------------------------------