TSTP Solution File: KRS140+1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : KRS140+1 : TPTP v8.1.2. Released v3.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s

% Computer : n022.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 07:17:59 EDT 2024

% Result   : Theorem 0.61s 0.81s
% Output   : Refutation 0.61s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :   24
% Syntax   : Number of formulae    :  122 (  10 unt;   0 def)
%            Number of atoms       :  422 (  32 equ)
%            Maximal formula atoms :   11 (   3 avg)
%            Number of connectives :  501 ( 201   ~; 232   |;  37   &)
%                                         (  19 <=>;  10  =>;   0  <=;   2 <~>)
%            Maximal formula depth :    9 (   4 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :   21 (  19 usr;  15 prp; 0-2 aty)
%            Number of functors    :    7 (   7 usr;   7 con; 0-0 aty)
%            Number of variables   :   80 (  57   !;  23   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f234,plain,
    $false,
    inference(avatar_sat_refutation,[],[f96,f97,f102,f103,f108,f109,f111,f114,f117,f132,f141,f145,f149,f174,f178,f182,f194,f218,f224,f230,f231]) ).

fof(f231,plain,
    ( spl5_13
    | spl5_14
    | ~ spl5_8
    | ~ spl5_10 ),
    inference(avatar_split_clause,[],[f204,f129,f105,f171,f167]) ).

fof(f167,plain,
    ( spl5_13
  <=> ia = sK0 ),
    introduced(avatar_definition,[new_symbols(naming,[spl5_13])]) ).

fof(f171,plain,
    ( spl5_14
  <=> ib = sK0 ),
    introduced(avatar_definition,[new_symbols(naming,[spl5_14])]) ).

fof(f105,plain,
    ( spl5_8
  <=> rsymProp(sK0,sK1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl5_8])]) ).

fof(f129,plain,
    ( spl5_10
  <=> ia = sK1 ),
    introduced(avatar_definition,[new_symbols(naming,[spl5_10])]) ).

fof(f204,plain,
    ( ib = sK0
    | ia = sK0
    | ~ spl5_8
    | ~ spl5_10 ),
    inference(resolution,[],[f200,f119]) ).

fof(f119,plain,
    ! [X0,X1] :
      ( ~ rsymProp(X0,X1)
      | ib = X0
      | ia = X0 ),
    inference(resolution,[],[f53,f60]) ).

fof(f60,plain,
    ! [X0,X1] :
      ( rsymProp(X1,X0)
      | ~ rsymProp(X0,X1) ),
    inference(cnf_transformation,[],[f30]) ).

fof(f30,plain,
    ! [X0,X1] :
      ( rsymProp(X1,X0)
      | ~ rsymProp(X0,X1) ),
    inference(ennf_transformation,[],[f20]) ).

fof(f20,plain,
    ! [X0,X1] :
      ( rsymProp(X0,X1)
     => rsymProp(X1,X0) ),
    inference(rectify,[],[f10]) ).

fof(f10,axiom,
    ! [X3,X4] :
      ( rsymProp(X3,X4)
     => rsymProp(X4,X3) ),
    file('/export/starexec/sandbox2/tmp/tmp.SclqdeY7KC/Vampire---4.8_21526',axiom_3) ).

fof(f53,plain,
    ! [X0,X1] :
      ( ~ rsymProp(X0,X1)
      | ia = X1
      | ib = X1 ),
    inference(cnf_transformation,[],[f25]) ).

fof(f25,plain,
    ! [X0,X1] :
      ( ib = X1
      | ia = X1
      | ~ rsymProp(X0,X1) ),
    inference(flattening,[],[f24]) ).

fof(f24,plain,
    ! [X0,X1] :
      ( ib = X1
      | ia = X1
      | ~ rsymProp(X0,X1) ),
    inference(ennf_transformation,[],[f18]) ).

fof(f18,plain,
    ! [X0,X1] :
      ( rsymProp(X0,X1)
     => ( ib = X1
        | ia = X1 ) ),
    inference(rectify,[],[f9]) ).

fof(f9,axiom,
    ! [X3,X4] :
      ( rsymProp(X3,X4)
     => ( ib = X4
        | ia = X4 ) ),
    file('/export/starexec/sandbox2/tmp/tmp.SclqdeY7KC/Vampire---4.8_21526',axiom_2) ).

fof(f200,plain,
    ( rsymProp(sK0,ia)
    | ~ spl5_8
    | ~ spl5_10 ),
    inference(forward_demodulation,[],[f107,f131]) ).

fof(f131,plain,
    ( ia = sK1
    | ~ spl5_10 ),
    inference(avatar_component_clause,[],[f129]) ).

fof(f107,plain,
    ( rsymProp(sK0,sK1)
    | ~ spl5_8 ),
    inference(avatar_component_clause,[],[f105]) ).

fof(f230,plain,
    ( spl5_5
    | ~ spl5_8
    | ~ spl5_10
    | ~ spl5_12 ),
    inference(avatar_contradiction_clause,[],[f229]) ).

fof(f229,plain,
    ( $false
    | spl5_5
    | ~ spl5_8
    | ~ spl5_10
    | ~ spl5_12 ),
    inference(subsumption_resolution,[],[f200,f228]) ).

fof(f228,plain,
    ( ~ rsymProp(sK0,ia)
    | spl5_5
    | ~ spl5_12 ),
    inference(forward_demodulation,[],[f92,f140]) ).

fof(f140,plain,
    ( ia = sK2
    | ~ spl5_12 ),
    inference(avatar_component_clause,[],[f138]) ).

fof(f138,plain,
    ( spl5_12
  <=> ia = sK2 ),
    introduced(avatar_definition,[new_symbols(naming,[spl5_12])]) ).

fof(f92,plain,
    ( ~ rsymProp(sK0,sK2)
    | spl5_5 ),
    inference(avatar_component_clause,[],[f90]) ).

fof(f90,plain,
    ( spl5_5
  <=> rsymProp(sK0,sK2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl5_5])]) ).

fof(f224,plain,
    ( spl5_5
    | ~ spl5_12
    | ~ spl5_13 ),
    inference(avatar_contradiction_clause,[],[f223]) ).

fof(f223,plain,
    ( $false
    | spl5_5
    | ~ spl5_12
    | ~ spl5_13 ),
    inference(subsumption_resolution,[],[f220,f51]) ).

fof(f51,plain,
    rsymProp(ia,ia),
    inference(cnf_transformation,[],[f12]) ).

fof(f12,axiom,
    rsymProp(ia,ia),
    file('/export/starexec/sandbox2/tmp/tmp.SclqdeY7KC/Vampire---4.8_21526',axiom_5) ).

fof(f220,plain,
    ( ~ rsymProp(ia,ia)
    | spl5_5
    | ~ spl5_12
    | ~ spl5_13 ),
    inference(backward_demodulation,[],[f214,f140]) ).

fof(f214,plain,
    ( ~ rsymProp(ia,sK2)
    | spl5_5
    | ~ spl5_13 ),
    inference(forward_demodulation,[],[f92,f169]) ).

fof(f169,plain,
    ( ia = sK0
    | ~ spl5_13 ),
    inference(avatar_component_clause,[],[f167]) ).

fof(f218,plain,
    ( spl5_5
    | ~ spl5_7
    | ~ spl5_10
    | ~ spl5_13 ),
    inference(avatar_contradiction_clause,[],[f217]) ).

fof(f217,plain,
    ( $false
    | spl5_5
    | ~ spl5_7
    | ~ spl5_10
    | ~ spl5_13 ),
    inference(subsumption_resolution,[],[f216,f214]) ).

fof(f216,plain,
    ( rsymProp(ia,sK2)
    | ~ spl5_7
    | ~ spl5_10 ),
    inference(forward_demodulation,[],[f101,f131]) ).

fof(f101,plain,
    ( rsymProp(sK1,sK2)
    | ~ spl5_7 ),
    inference(avatar_component_clause,[],[f99]) ).

fof(f99,plain,
    ( spl5_7
  <=> rsymProp(sK1,sK2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl5_7])]) ).

fof(f194,plain,
    ( spl5_5
    | ~ spl5_11
    | ~ spl5_14 ),
    inference(avatar_contradiction_clause,[],[f193]) ).

fof(f193,plain,
    ( $false
    | spl5_5
    | ~ spl5_11
    | ~ spl5_14 ),
    inference(subsumption_resolution,[],[f189,f59]) ).

fof(f59,plain,
    rsymProp(ib,ib),
    inference(cnf_transformation,[],[f14]) ).

fof(f14,axiom,
    rsymProp(ib,ib),
    file('/export/starexec/sandbox2/tmp/tmp.SclqdeY7KC/Vampire---4.8_21526',axiom_7) ).

fof(f189,plain,
    ( ~ rsymProp(ib,ib)
    | spl5_5
    | ~ spl5_11
    | ~ spl5_14 ),
    inference(backward_demodulation,[],[f186,f136]) ).

fof(f136,plain,
    ( ib = sK2
    | ~ spl5_11 ),
    inference(avatar_component_clause,[],[f134]) ).

fof(f134,plain,
    ( spl5_11
  <=> ib = sK2 ),
    introduced(avatar_definition,[new_symbols(naming,[spl5_11])]) ).

fof(f186,plain,
    ( ~ rsymProp(ib,sK2)
    | spl5_5
    | ~ spl5_14 ),
    inference(forward_demodulation,[],[f92,f173]) ).

fof(f173,plain,
    ( ib = sK0
    | ~ spl5_14 ),
    inference(avatar_component_clause,[],[f171]) ).

fof(f182,plain,
    ( spl5_5
    | ~ spl5_7
    | ~ spl5_9
    | ~ spl5_12
    | ~ spl5_14 ),
    inference(avatar_contradiction_clause,[],[f181]) ).

fof(f181,plain,
    ( $false
    | spl5_5
    | ~ spl5_7
    | ~ spl5_9
    | ~ spl5_12
    | ~ spl5_14 ),
    inference(subsumption_resolution,[],[f179,f155]) ).

fof(f155,plain,
    ( rsymProp(ib,ia)
    | ~ spl5_7
    | ~ spl5_9
    | ~ spl5_12 ),
    inference(backward_demodulation,[],[f152,f140]) ).

fof(f152,plain,
    ( rsymProp(ib,sK2)
    | ~ spl5_7
    | ~ spl5_9 ),
    inference(forward_demodulation,[],[f101,f127]) ).

fof(f127,plain,
    ( ib = sK1
    | ~ spl5_9 ),
    inference(avatar_component_clause,[],[f125]) ).

fof(f125,plain,
    ( spl5_9
  <=> ib = sK1 ),
    introduced(avatar_definition,[new_symbols(naming,[spl5_9])]) ).

fof(f179,plain,
    ( ~ rsymProp(ib,ia)
    | spl5_5
    | ~ spl5_12
    | ~ spl5_14 ),
    inference(backward_demodulation,[],[f154,f173]) ).

fof(f154,plain,
    ( ~ rsymProp(sK0,ia)
    | spl5_5
    | ~ spl5_12 ),
    inference(backward_demodulation,[],[f92,f140]) ).

fof(f178,plain,
    ( ~ spl5_3
    | ~ spl5_4 ),
    inference(avatar_contradiction_clause,[],[f177]) ).

fof(f177,plain,
    ( $false
    | ~ spl5_3
    | ~ spl5_4 ),
    inference(subsumption_resolution,[],[f176,f88]) ).

fof(f88,plain,
    ( xsd_integer(sK3)
    | ~ spl5_4 ),
    inference(avatar_component_clause,[],[f86]) ).

fof(f86,plain,
    ( spl5_4
  <=> xsd_integer(sK3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl5_4])]) ).

fof(f176,plain,
    ( ~ xsd_integer(sK3)
    | ~ spl5_3 ),
    inference(resolution,[],[f83,f63]) ).

fof(f63,plain,
    ! [X0] :
      ( ~ xsd_string(X0)
      | ~ xsd_integer(X0) ),
    inference(cnf_transformation,[],[f44]) ).

fof(f44,plain,
    ! [X0] :
      ( ( xsd_string(X0)
        | xsd_integer(X0) )
      & ( ~ xsd_integer(X0)
        | ~ xsd_string(X0) ) ),
    inference(nnf_transformation,[],[f21]) ).

fof(f21,plain,
    ! [X0] :
      ( xsd_string(X0)
    <=> ~ xsd_integer(X0) ),
    inference(rectify,[],[f8]) ).

fof(f8,axiom,
    ! [X3] :
      ( xsd_string(X3)
    <=> ~ xsd_integer(X3) ),
    file('/export/starexec/sandbox2/tmp/tmp.SclqdeY7KC/Vampire---4.8_21526',axiom_1) ).

fof(f83,plain,
    ( xsd_string(sK3)
    | ~ spl5_3 ),
    inference(avatar_component_clause,[],[f82]) ).

fof(f82,plain,
    ( spl5_3
  <=> xsd_string(sK3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl5_3])]) ).

fof(f174,plain,
    ( spl5_13
    | spl5_14
    | ~ spl5_8
    | ~ spl5_9 ),
    inference(avatar_split_clause,[],[f165,f125,f105,f171,f167]) ).

fof(f165,plain,
    ( ib = sK0
    | ia = sK0
    | ~ spl5_8
    | ~ spl5_9 ),
    inference(resolution,[],[f119,f142]) ).

fof(f142,plain,
    ( rsymProp(sK0,ib)
    | ~ spl5_8
    | ~ spl5_9 ),
    inference(backward_demodulation,[],[f107,f127]) ).

fof(f149,plain,
    ( spl5_5
    | ~ spl5_8
    | ~ spl5_9
    | ~ spl5_11 ),
    inference(avatar_contradiction_clause,[],[f148]) ).

fof(f148,plain,
    ( $false
    | spl5_5
    | ~ spl5_8
    | ~ spl5_9
    | ~ spl5_11 ),
    inference(subsumption_resolution,[],[f147,f142]) ).

fof(f147,plain,
    ( ~ rsymProp(sK0,ib)
    | spl5_5
    | ~ spl5_11 ),
    inference(backward_demodulation,[],[f92,f136]) ).

fof(f145,plain,
    ~ spl5_2,
    inference(avatar_contradiction_clause,[],[f144]) ).

fof(f144,plain,
    ( $false
    | ~ spl5_2 ),
    inference(subsumption_resolution,[],[f80,f55]) ).

fof(f55,plain,
    ! [X0] : ~ cowlNothing(X0),
    inference(cnf_transformation,[],[f19]) ).

fof(f19,plain,
    ! [X0] :
      ( ~ cowlNothing(X0)
      & cowlThing(X0) ),
    inference(rectify,[],[f7]) ).

fof(f7,axiom,
    ! [X3] :
      ( ~ cowlNothing(X3)
      & cowlThing(X3) ),
    file('/export/starexec/sandbox2/tmp/tmp.SclqdeY7KC/Vampire---4.8_21526',axiom_0) ).

fof(f80,plain,
    ( cowlNothing(sK4)
    | ~ spl5_2 ),
    inference(avatar_component_clause,[],[f78]) ).

fof(f78,plain,
    ( spl5_2
  <=> cowlNothing(sK4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl5_2])]) ).

fof(f141,plain,
    ( spl5_11
    | spl5_12
    | ~ spl5_7 ),
    inference(avatar_split_clause,[],[f123,f99,f138,f134]) ).

fof(f123,plain,
    ( ia = sK2
    | ib = sK2
    | ~ spl5_7 ),
    inference(resolution,[],[f53,f101]) ).

fof(f132,plain,
    ( spl5_9
    | spl5_10
    | ~ spl5_8 ),
    inference(avatar_split_clause,[],[f122,f105,f129,f125]) ).

fof(f122,plain,
    ( ia = sK1
    | ib = sK1
    | ~ spl5_8 ),
    inference(resolution,[],[f53,f107]) ).

fof(f117,plain,
    ~ spl5_6,
    inference(avatar_contradiction_clause,[],[f116]) ).

fof(f116,plain,
    ( $false
    | ~ spl5_6 ),
    inference(resolution,[],[f115,f51]) ).

fof(f115,plain,
    ( ! [X0] : ~ rsymProp(ia,X0)
    | ~ spl5_6 ),
    inference(subsumption_resolution,[],[f95,f54]) ).

fof(f54,plain,
    ! [X0] : cowlThing(X0),
    inference(cnf_transformation,[],[f19]) ).

fof(f95,plain,
    ( ! [X0] :
        ( ~ cowlThing(X0)
        | ~ rsymProp(ia,X0) )
    | ~ spl5_6 ),
    inference(avatar_component_clause,[],[f94]) ).

fof(f94,plain,
    ( spl5_6
  <=> ! [X0] :
        ( ~ cowlThing(X0)
        | ~ rsymProp(ia,X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl5_6])]) ).

fof(f114,plain,
    ( spl5_3
    | spl5_4 ),
    inference(avatar_contradiction_clause,[],[f113]) ).

fof(f113,plain,
    ( $false
    | spl5_3
    | spl5_4 ),
    inference(subsumption_resolution,[],[f112,f84]) ).

fof(f84,plain,
    ( ~ xsd_string(sK3)
    | spl5_3 ),
    inference(avatar_component_clause,[],[f82]) ).

fof(f112,plain,
    ( xsd_string(sK3)
    | spl5_4 ),
    inference(resolution,[],[f64,f87]) ).

fof(f87,plain,
    ( ~ xsd_integer(sK3)
    | spl5_4 ),
    inference(avatar_component_clause,[],[f86]) ).

fof(f64,plain,
    ! [X0] :
      ( xsd_integer(X0)
      | xsd_string(X0) ),
    inference(cnf_transformation,[],[f44]) ).

fof(f111,plain,
    spl5_1,
    inference(avatar_contradiction_clause,[],[f110]) ).

fof(f110,plain,
    ( $false
    | spl5_1 ),
    inference(subsumption_resolution,[],[f76,f54]) ).

fof(f76,plain,
    ( ~ cowlThing(sK4)
    | spl5_1 ),
    inference(avatar_component_clause,[],[f74]) ).

fof(f74,plain,
    ( spl5_1
  <=> cowlThing(sK4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl5_1])]) ).

fof(f109,plain,
    ( ~ spl5_1
    | spl5_2
    | spl5_3
    | ~ spl5_4
    | spl5_8
    | spl5_6 ),
    inference(avatar_split_clause,[],[f45,f94,f105,f86,f82,f78,f74]) ).

fof(f45,plain,
    ! [X0] :
      ( ~ cowlThing(X0)
      | ~ rsymProp(ia,X0)
      | rsymProp(sK0,sK1)
      | ~ xsd_integer(sK3)
      | xsd_string(sK3)
      | cowlNothing(sK4)
      | ~ cowlThing(sK4) ),
    inference(cnf_transformation,[],[f43]) ).

fof(f43,plain,
    ( ! [X0] :
        ( ~ cowlThing(X0)
        | ~ rsymProp(ia,X0) )
    | ( ~ rsymProp(sK0,sK2)
      & rsymProp(sK1,sK2)
      & rsymProp(sK0,sK1) )
    | ( ( xsd_integer(sK3)
        | ~ xsd_string(sK3) )
      & ( ~ xsd_integer(sK3)
        | xsd_string(sK3) ) )
    | cowlNothing(sK4)
    | ~ cowlThing(sK4) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3,sK4])],[f39,f42,f41,f40]) ).

fof(f40,plain,
    ( ? [X1,X2,X3] :
        ( ~ rsymProp(X1,X3)
        & rsymProp(X2,X3)
        & rsymProp(X1,X2) )
   => ( ~ rsymProp(sK0,sK2)
      & rsymProp(sK1,sK2)
      & rsymProp(sK0,sK1) ) ),
    introduced(choice_axiom,[]) ).

fof(f41,plain,
    ( ? [X4] :
        ( ( xsd_integer(X4)
          | ~ xsd_string(X4) )
        & ( ~ xsd_integer(X4)
          | xsd_string(X4) ) )
   => ( ( xsd_integer(sK3)
        | ~ xsd_string(sK3) )
      & ( ~ xsd_integer(sK3)
        | xsd_string(sK3) ) ) ),
    introduced(choice_axiom,[]) ).

fof(f42,plain,
    ( ? [X5] :
        ( cowlNothing(X5)
        | ~ cowlThing(X5) )
   => ( cowlNothing(sK4)
      | ~ cowlThing(sK4) ) ),
    introduced(choice_axiom,[]) ).

fof(f39,plain,
    ( ! [X0] :
        ( ~ cowlThing(X0)
        | ~ rsymProp(ia,X0) )
    | ? [X1,X2,X3] :
        ( ~ rsymProp(X1,X3)
        & rsymProp(X2,X3)
        & rsymProp(X1,X2) )
    | ? [X4] :
        ( ( xsd_integer(X4)
          | ~ xsd_string(X4) )
        & ( ~ xsd_integer(X4)
          | xsd_string(X4) ) )
    | ? [X5] :
        ( cowlNothing(X5)
        | ~ cowlThing(X5) ) ),
    inference(nnf_transformation,[],[f23]) ).

fof(f23,plain,
    ( ! [X0] :
        ( ~ cowlThing(X0)
        | ~ rsymProp(ia,X0) )
    | ? [X1,X2,X3] :
        ( ~ rsymProp(X1,X3)
        & rsymProp(X2,X3)
        & rsymProp(X1,X2) )
    | ? [X4] :
        ( xsd_string(X4)
      <~> ~ xsd_integer(X4) )
    | ? [X5] :
        ( cowlNothing(X5)
        | ~ cowlThing(X5) ) ),
    inference(flattening,[],[f22]) ).

fof(f22,plain,
    ( ! [X0] :
        ( ~ cowlThing(X0)
        | ~ rsymProp(ia,X0) )
    | ? [X1,X2,X3] :
        ( ~ rsymProp(X1,X3)
        & rsymProp(X2,X3)
        & rsymProp(X1,X2) )
    | ? [X4] :
        ( xsd_string(X4)
      <~> ~ xsd_integer(X4) )
    | ? [X5] :
        ( cowlNothing(X5)
        | ~ cowlThing(X5) ) ),
    inference(ennf_transformation,[],[f17]) ).

fof(f17,plain,
    ~ ( ? [X0] :
          ( cowlThing(X0)
          & rsymProp(ia,X0) )
      & ! [X1,X2,X3] :
          ( ( rsymProp(X2,X3)
            & rsymProp(X1,X2) )
         => rsymProp(X1,X3) )
      & ! [X4] :
          ( xsd_string(X4)
        <=> ~ xsd_integer(X4) )
      & ! [X5] :
          ( ~ cowlNothing(X5)
          & cowlThing(X5) ) ),
    inference(rectify,[],[f16]) ).

fof(f16,negated_conjecture,
    ~ ( ? [X3] :
          ( cowlThing(X3)
          & rsymProp(ia,X3) )
      & ! [X3,X4,X5] :
          ( ( rsymProp(X4,X5)
            & rsymProp(X3,X4) )
         => rsymProp(X3,X5) )
      & ! [X3] :
          ( xsd_string(X3)
        <=> ~ xsd_integer(X3) )
      & ! [X3] :
          ( ~ cowlNothing(X3)
          & cowlThing(X3) ) ),
    inference(negated_conjecture,[],[f15]) ).

fof(f15,conjecture,
    ( ? [X3] :
        ( cowlThing(X3)
        & rsymProp(ia,X3) )
    & ! [X3,X4,X5] :
        ( ( rsymProp(X4,X5)
          & rsymProp(X3,X4) )
       => rsymProp(X3,X5) )
    & ! [X3] :
        ( xsd_string(X3)
      <=> ~ xsd_integer(X3) )
    & ! [X3] :
        ( ~ cowlNothing(X3)
        & cowlThing(X3) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.SclqdeY7KC/Vampire---4.8_21526',the_axiom) ).

fof(f108,plain,
    ( ~ spl5_1
    | spl5_2
    | ~ spl5_3
    | spl5_4
    | spl5_8
    | spl5_6 ),
    inference(avatar_split_clause,[],[f46,f94,f105,f86,f82,f78,f74]) ).

fof(f46,plain,
    ! [X0] :
      ( ~ cowlThing(X0)
      | ~ rsymProp(ia,X0)
      | rsymProp(sK0,sK1)
      | xsd_integer(sK3)
      | ~ xsd_string(sK3)
      | cowlNothing(sK4)
      | ~ cowlThing(sK4) ),
    inference(cnf_transformation,[],[f43]) ).

fof(f103,plain,
    ( ~ spl5_1
    | spl5_2
    | spl5_3
    | ~ spl5_4
    | spl5_7
    | spl5_6 ),
    inference(avatar_split_clause,[],[f47,f94,f99,f86,f82,f78,f74]) ).

fof(f47,plain,
    ! [X0] :
      ( ~ cowlThing(X0)
      | ~ rsymProp(ia,X0)
      | rsymProp(sK1,sK2)
      | ~ xsd_integer(sK3)
      | xsd_string(sK3)
      | cowlNothing(sK4)
      | ~ cowlThing(sK4) ),
    inference(cnf_transformation,[],[f43]) ).

fof(f102,plain,
    ( ~ spl5_1
    | spl5_2
    | ~ spl5_3
    | spl5_4
    | spl5_7
    | spl5_6 ),
    inference(avatar_split_clause,[],[f48,f94,f99,f86,f82,f78,f74]) ).

fof(f48,plain,
    ! [X0] :
      ( ~ cowlThing(X0)
      | ~ rsymProp(ia,X0)
      | rsymProp(sK1,sK2)
      | xsd_integer(sK3)
      | ~ xsd_string(sK3)
      | cowlNothing(sK4)
      | ~ cowlThing(sK4) ),
    inference(cnf_transformation,[],[f43]) ).

fof(f97,plain,
    ( ~ spl5_1
    | spl5_2
    | spl5_3
    | ~ spl5_4
    | ~ spl5_5
    | spl5_6 ),
    inference(avatar_split_clause,[],[f49,f94,f90,f86,f82,f78,f74]) ).

fof(f49,plain,
    ! [X0] :
      ( ~ cowlThing(X0)
      | ~ rsymProp(ia,X0)
      | ~ rsymProp(sK0,sK2)
      | ~ xsd_integer(sK3)
      | xsd_string(sK3)
      | cowlNothing(sK4)
      | ~ cowlThing(sK4) ),
    inference(cnf_transformation,[],[f43]) ).

fof(f96,plain,
    ( ~ spl5_1
    | spl5_2
    | ~ spl5_3
    | spl5_4
    | ~ spl5_5
    | spl5_6 ),
    inference(avatar_split_clause,[],[f50,f94,f90,f86,f82,f78,f74]) ).

fof(f50,plain,
    ! [X0] :
      ( ~ cowlThing(X0)
      | ~ rsymProp(ia,X0)
      | ~ rsymProp(sK0,sK2)
      | xsd_integer(sK3)
      | ~ xsd_string(sK3)
      | cowlNothing(sK4)
      | ~ cowlThing(sK4) ),
    inference(cnf_transformation,[],[f43]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem    : KRS140+1 : TPTP v8.1.2. Released v3.1.0.
% 0.07/0.15  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.15/0.36  % Computer : n022.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 19:52:53 EDT 2024
% 0.15/0.36  % CPUTime    : 
% 0.15/0.36  This is a FOF_THM_EPR_SEQ problem
% 0.15/0.36  Running vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t 300 /export/starexec/sandbox2/tmp/tmp.SclqdeY7KC/Vampire---4.8_21526
% 0.61/0.80  % (21915)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 (2995ds/56Mi)
% 0.61/0.81  % (21907)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 (2995ds/34Mi)
% 0.61/0.81  % (21909)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2995ds/78Mi)
% 0.61/0.81  % (21908)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 (2995ds/51Mi)
% 0.61/0.81  % (21915)Refutation not found, incomplete strategy% (21915)------------------------------
% 0.61/0.81  % (21915)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.61/0.81  % (21915)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.81  
% 0.61/0.81  % (21915)Memory used [KB]: 999
% 0.61/0.81  % (21915)Time elapsed: 0.002 s
% 0.61/0.81  % (21915)Instructions burned: 3 (million)
% 0.61/0.81  % (21910)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on Vampire---4 for (2995ds/33Mi)
% 0.61/0.81  % (21912)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on Vampire---4 for (2995ds/45Mi)
% 0.61/0.81  % (21911)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 (2995ds/34Mi)
% 0.61/0.81  % (21913)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 (2995ds/83Mi)
% 0.61/0.81  % (21915)------------------------------
% 0.61/0.81  % (21915)------------------------------
% 0.61/0.81  % (21907)Refutation not found, incomplete strategy% (21907)------------------------------
% 0.61/0.81  % (21907)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.61/0.81  % (21907)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.81  
% 0.61/0.81  % (21907)Memory used [KB]: 997
% 0.61/0.81  % (21907)Time elapsed: 0.003 s
% 0.61/0.81  % (21907)Instructions burned: 3 (million)
% 0.61/0.81  % (21912)Refutation not found, incomplete strategy% (21912)------------------------------
% 0.61/0.81  % (21912)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.61/0.81  % (21912)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.81  
% 0.61/0.81  % (21912)Memory used [KB]: 999
% 0.61/0.81  % (21912)Time elapsed: 0.003 s
% 0.61/0.81  % (21912)Instructions burned: 3 (million)
% 0.61/0.81  % (21910)Refutation not found, incomplete strategy% (21910)------------------------------
% 0.61/0.81  % (21910)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.61/0.81  % (21910)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.81  
% 0.61/0.81  % (21910)Memory used [KB]: 997
% 0.61/0.81  % (21910)Time elapsed: 0.003 s
% 0.61/0.81  % (21910)Instructions burned: 3 (million)
% 0.61/0.81  % (21911)Refutation not found, incomplete strategy% (21911)------------------------------
% 0.61/0.81  % (21911)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.61/0.81  % (21911)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.81  
% 0.61/0.81  % (21911)Memory used [KB]: 1000
% 0.61/0.81  % (21911)Time elapsed: 0.003 s
% 0.61/0.81  % (21911)Instructions burned: 3 (million)
% 0.61/0.81  % (21912)------------------------------
% 0.61/0.81  % (21912)------------------------------
% 0.61/0.81  % (21910)------------------------------
% 0.61/0.81  % (21910)------------------------------
% 0.61/0.81  % (21907)------------------------------
% 0.61/0.81  % (21907)------------------------------
% 0.61/0.81  % (21911)------------------------------
% 0.61/0.81  % (21911)------------------------------
% 0.61/0.81  % (21919)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 Vampire---4 for (2995ds/55Mi)
% 0.61/0.81  % (21908)Also succeeded, but the first one will report.
% 0.61/0.81  % (21909)First to succeed.
% 0.61/0.81  % (21919)Refutation not found, incomplete strategy% (21919)------------------------------
% 0.61/0.81  % (21919)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.61/0.81  % (21919)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.81  
% 0.61/0.81  % (21919)Memory used [KB]: 1002
% 0.61/0.81  % (21919)Time elapsed: 0.002 s
% 0.61/0.81  % (21919)Instructions burned: 4 (million)
% 0.61/0.81  % (21913)Also succeeded, but the first one will report.
% 0.61/0.81  % (21919)------------------------------
% 0.61/0.81  % (21919)------------------------------
% 0.61/0.81  % (21909)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-21719"
% 0.61/0.81  % (21909)Refutation found. Thanks to Tanya!
% 0.61/0.81  % SZS status Theorem for Vampire---4
% 0.61/0.81  % SZS output start Proof for Vampire---4
% See solution above
% 0.61/0.81  % (21909)------------------------------
% 0.61/0.81  % (21909)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.61/0.81  % (21909)Termination reason: Refutation
% 0.61/0.81  
% 0.61/0.81  % (21909)Memory used [KB]: 1095
% 0.61/0.81  % (21909)Time elapsed: 0.007 s
% 0.61/0.81  % (21909)Instructions burned: 8 (million)
% 0.61/0.81  % (21719)Success in time 0.439 s
% 0.61/0.81  % Vampire---4.8 exiting
%------------------------------------------------------------------------------