TSTP Solution File: KRS083+1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : KRS083+1 : TPTP v8.2.0. 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 : n025.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 : Mon May 20 23:20:02 EDT 2024

% Result   : Unsatisfiable 0.70s 0.92s
% Output   : Refutation 0.70s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   13
%            Number of leaves      :   20
% Syntax   : Number of formulae    :   92 (   5 unt;   0 def)
%            Number of atoms       :  307 (  15 equ)
%            Maximal formula atoms :   14 (   3 avg)
%            Number of connectives :  348 ( 133   ~; 120   |;  66   &)
%                                         (  17 <=>;  12  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   11 (   5 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :   19 (  17 usr;   9 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   1 con; 0-1 aty)
%            Number of variables   :  129 ( 105   !;  24   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f375,plain,
    $false,
    inference(avatar_sat_refutation,[],[f167,f182,f287,f290,f302,f313,f349,f370,f374]) ).

fof(f374,plain,
    ( ~ spl4_20
    | spl4_24 ),
    inference(avatar_split_clause,[],[f373,f342,f310]) ).

fof(f310,plain,
    ( spl4_20
  <=> rinvR(i2003_11_14_17_19_32337,sK1(i2003_11_14_17_19_32337)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_20])]) ).

fof(f342,plain,
    ( spl4_24
  <=> cd(sK2(sK1(i2003_11_14_17_19_32337))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_24])]) ).

fof(f373,plain,
    ( ~ rinvR(i2003_11_14_17_19_32337,sK1(i2003_11_14_17_19_32337))
    | spl4_24 ),
    inference(resolution,[],[f371,f122]) ).

fof(f122,plain,
    cUnsatisfiable(i2003_11_14_17_19_32337),
    inference(cnf_transformation,[],[f24]) ).

fof(f24,axiom,
    cUnsatisfiable(i2003_11_14_17_19_32337),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_8) ).

fof(f371,plain,
    ( ! [X0] :
        ( ~ cUnsatisfiable(X0)
        | ~ rinvR(X0,sK1(i2003_11_14_17_19_32337)) )
    | spl4_24 ),
    inference(resolution,[],[f344,f106]) ).

fof(f106,plain,
    ! [X0,X5] :
      ( cd(sK2(X5))
      | ~ rinvR(X0,X5)
      | ~ cUnsatisfiable(X0) ),
    inference(cnf_transformation,[],[f78]) ).

fof(f78,plain,
    ! [X0] :
      ( ( cUnsatisfiable(X0)
        | ! [X1] :
            ( ~ cd(X1)
            | ~ rinvF(X0,X1) )
        | cc(X0)
        | ( ! [X3] :
              ( ~ cd(X3)
              | ~ rinvF(sK0(X0),X3) )
          & rinvR(X0,sK0(X0)) ) )
      & ( ( cd(sK1(X0))
          & rinvF(X0,sK1(X0))
          & ~ cc(X0)
          & ! [X5] :
              ( ( cd(sK2(X5))
                & rinvF(X5,sK2(X5)) )
              | ~ rinvR(X0,X5) ) )
        | ~ cUnsatisfiable(X0) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2])],[f74,f77,f76,f75]) ).

fof(f75,plain,
    ! [X0] :
      ( ? [X2] :
          ( ! [X3] :
              ( ~ cd(X3)
              | ~ rinvF(X2,X3) )
          & rinvR(X0,X2) )
     => ( ! [X3] :
            ( ~ cd(X3)
            | ~ rinvF(sK0(X0),X3) )
        & rinvR(X0,sK0(X0)) ) ),
    introduced(choice_axiom,[]) ).

fof(f76,plain,
    ! [X0] :
      ( ? [X4] :
          ( cd(X4)
          & rinvF(X0,X4) )
     => ( cd(sK1(X0))
        & rinvF(X0,sK1(X0)) ) ),
    introduced(choice_axiom,[]) ).

fof(f77,plain,
    ! [X5] :
      ( ? [X6] :
          ( cd(X6)
          & rinvF(X5,X6) )
     => ( cd(sK2(X5))
        & rinvF(X5,sK2(X5)) ) ),
    introduced(choice_axiom,[]) ).

fof(f74,plain,
    ! [X0] :
      ( ( cUnsatisfiable(X0)
        | ! [X1] :
            ( ~ cd(X1)
            | ~ rinvF(X0,X1) )
        | cc(X0)
        | ? [X2] :
            ( ! [X3] :
                ( ~ cd(X3)
                | ~ rinvF(X2,X3) )
            & rinvR(X0,X2) ) )
      & ( ( ? [X4] :
              ( cd(X4)
              & rinvF(X0,X4) )
          & ~ cc(X0)
          & ! [X5] :
              ( ? [X6] :
                  ( cd(X6)
                  & rinvF(X5,X6) )
              | ~ rinvR(X0,X5) ) )
        | ~ cUnsatisfiable(X0) ) ),
    inference(rectify,[],[f73]) ).

fof(f73,plain,
    ! [X0] :
      ( ( cUnsatisfiable(X0)
        | ! [X1] :
            ( ~ cd(X1)
            | ~ rinvF(X0,X1) )
        | cc(X0)
        | ? [X2] :
            ( ! [X3] :
                ( ~ cd(X3)
                | ~ rinvF(X2,X3) )
            & rinvR(X0,X2) ) )
      & ( ( ? [X1] :
              ( cd(X1)
              & rinvF(X0,X1) )
          & ~ cc(X0)
          & ! [X2] :
              ( ? [X3] :
                  ( cd(X3)
                  & rinvF(X2,X3) )
              | ~ rinvR(X0,X2) ) )
        | ~ cUnsatisfiable(X0) ) ),
    inference(flattening,[],[f72]) ).

fof(f72,plain,
    ! [X0] :
      ( ( cUnsatisfiable(X0)
        | ! [X1] :
            ( ~ cd(X1)
            | ~ rinvF(X0,X1) )
        | cc(X0)
        | ? [X2] :
            ( ! [X3] :
                ( ~ cd(X3)
                | ~ rinvF(X2,X3) )
            & rinvR(X0,X2) ) )
      & ( ( ? [X1] :
              ( cd(X1)
              & rinvF(X0,X1) )
          & ~ cc(X0)
          & ! [X2] :
              ( ? [X3] :
                  ( cd(X3)
                  & rinvF(X2,X3) )
              | ~ rinvR(X0,X2) ) )
        | ~ cUnsatisfiable(X0) ) ),
    inference(nnf_transformation,[],[f65]) ).

fof(f65,plain,
    ! [X0] :
      ( cUnsatisfiable(X0)
    <=> ( ? [X1] :
            ( cd(X1)
            & rinvF(X0,X1) )
        & ~ cc(X0)
        & ! [X2] :
            ( ? [X3] :
                ( cd(X3)
                & rinvF(X2,X3) )
            | ~ rinvR(X0,X2) ) ) ),
    inference(ennf_transformation,[],[f28]) ).

fof(f28,plain,
    ! [X0] :
      ( cUnsatisfiable(X0)
    <=> ( ? [X1] :
            ( cd(X1)
            & rinvF(X0,X1) )
        & ~ cc(X0)
        & ! [X2] :
            ( rinvR(X0,X2)
           => ? [X3] :
                ( cd(X3)
                & rinvF(X2,X3) ) ) ) ),
    inference(rectify,[],[f18]) ).

fof(f18,axiom,
    ! [X3] :
      ( cUnsatisfiable(X3)
    <=> ( ? [X4] :
            ( cd(X4)
            & rinvF(X3,X4) )
        & ~ cc(X3)
        & ! [X4] :
            ( rinvR(X3,X4)
           => ? [X5] :
                ( cd(X5)
                & rinvF(X4,X5) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_2) ).

fof(f344,plain,
    ( ~ cd(sK2(sK1(i2003_11_14_17_19_32337)))
    | spl4_24 ),
    inference(avatar_component_clause,[],[f342]) ).

fof(f370,plain,
    ( ~ spl4_24
    | ~ spl4_19
    | ~ spl4_25 ),
    inference(avatar_split_clause,[],[f369,f346,f295,f342]) ).

fof(f295,plain,
    ( spl4_19
  <=> cc(sK1(i2003_11_14_17_19_32337)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_19])]) ).

fof(f346,plain,
    ( spl4_25
  <=> sK1(i2003_11_14_17_19_32337) = sK3(sK2(sK1(i2003_11_14_17_19_32337))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_25])]) ).

fof(f369,plain,
    ( ~ cc(sK1(i2003_11_14_17_19_32337))
    | ~ cd(sK2(sK1(i2003_11_14_17_19_32337)))
    | ~ spl4_25 ),
    inference(superposition,[],[f113,f348]) ).

fof(f348,plain,
    ( sK1(i2003_11_14_17_19_32337) = sK3(sK2(sK1(i2003_11_14_17_19_32337)))
    | ~ spl4_25 ),
    inference(avatar_component_clause,[],[f346]) ).

fof(f113,plain,
    ! [X0] :
      ( ~ cc(sK3(X0))
      | ~ cd(X0) ),
    inference(cnf_transformation,[],[f83]) ).

fof(f83,plain,
    ! [X0] :
      ( ( cd(X0)
        | ~ cc(X0)
        | ! [X1] :
            ( cc(X1)
            | ~ rf(X0,X1) ) )
      & ( ( cc(X0)
          & ~ cc(sK3(X0))
          & rf(X0,sK3(X0)) )
        | ~ cd(X0) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK3])],[f81,f82]) ).

fof(f82,plain,
    ! [X0] :
      ( ? [X2] :
          ( ~ cc(X2)
          & rf(X0,X2) )
     => ( ~ cc(sK3(X0))
        & rf(X0,sK3(X0)) ) ),
    introduced(choice_axiom,[]) ).

fof(f81,plain,
    ! [X0] :
      ( ( cd(X0)
        | ~ cc(X0)
        | ! [X1] :
            ( cc(X1)
            | ~ rf(X0,X1) ) )
      & ( ( cc(X0)
          & ? [X2] :
              ( ~ cc(X2)
              & rf(X0,X2) ) )
        | ~ cd(X0) ) ),
    inference(rectify,[],[f80]) ).

fof(f80,plain,
    ! [X0] :
      ( ( cd(X0)
        | ~ cc(X0)
        | ! [X1] :
            ( cc(X1)
            | ~ rf(X0,X1) ) )
      & ( ( cc(X0)
          & ? [X1] :
              ( ~ cc(X1)
              & rf(X0,X1) ) )
        | ~ cd(X0) ) ),
    inference(flattening,[],[f79]) ).

fof(f79,plain,
    ! [X0] :
      ( ( cd(X0)
        | ~ cc(X0)
        | ! [X1] :
            ( cc(X1)
            | ~ rf(X0,X1) ) )
      & ( ( cc(X0)
          & ? [X1] :
              ( ~ cc(X1)
              & rf(X0,X1) ) )
        | ~ cd(X0) ) ),
    inference(nnf_transformation,[],[f29]) ).

fof(f29,plain,
    ! [X0] :
      ( cd(X0)
    <=> ( cc(X0)
        & ? [X1] :
            ( ~ cc(X1)
            & rf(X0,X1) ) ) ),
    inference(rectify,[],[f19]) ).

fof(f19,axiom,
    ! [X3] :
      ( cd(X3)
    <=> ( cc(X3)
        & ? [X4] :
            ( ~ cc(X4)
            & rf(X3,X4) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_3) ).

fof(f349,plain,
    ( ~ spl4_24
    | spl4_25
    | ~ spl4_2 ),
    inference(avatar_split_clause,[],[f340,f164,f346,f342]) ).

fof(f164,plain,
    ( spl4_2
  <=> rf(sK2(sK1(i2003_11_14_17_19_32337)),sK1(i2003_11_14_17_19_32337)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_2])]) ).

fof(f340,plain,
    ( sK1(i2003_11_14_17_19_32337) = sK3(sK2(sK1(i2003_11_14_17_19_32337)))
    | ~ cd(sK2(sK1(i2003_11_14_17_19_32337)))
    | ~ spl4_2 ),
    inference(resolution,[],[f270,f112]) ).

fof(f112,plain,
    ! [X0] :
      ( rf(X0,sK3(X0))
      | ~ cd(X0) ),
    inference(cnf_transformation,[],[f83]) ).

fof(f270,plain,
    ( ! [X0] :
        ( ~ rf(sK2(sK1(i2003_11_14_17_19_32337)),X0)
        | sK1(i2003_11_14_17_19_32337) = X0 )
    | ~ spl4_2 ),
    inference(resolution,[],[f267,f166]) ).

fof(f166,plain,
    ( rf(sK2(sK1(i2003_11_14_17_19_32337)),sK1(i2003_11_14_17_19_32337))
    | ~ spl4_2 ),
    inference(avatar_component_clause,[],[f164]) ).

fof(f267,plain,
    ! [X2,X0,X1] :
      ( ~ rf(X0,X1)
      | ~ rf(X0,X2)
      | X1 = X2 ),
    inference(resolution,[],[f116,f101]) ).

fof(f101,plain,
    ! [X0] : cowlThing(X0),
    inference(cnf_transformation,[],[f26]) ).

fof(f26,plain,
    ! [X0] :
      ( ~ cowlNothing(X0)
      & cowlThing(X0) ),
    inference(rectify,[],[f16]) ).

fof(f16,axiom,
    ! [X3] :
      ( ~ cowlNothing(X3)
      & cowlThing(X3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_0) ).

fof(f116,plain,
    ! [X2,X0,X1] :
      ( ~ cowlThing(X0)
      | ~ rf(X0,X2)
      | ~ rf(X0,X1)
      | X1 = X2 ),
    inference(cnf_transformation,[],[f67]) ).

fof(f67,plain,
    ! [X0] :
      ( ! [X1,X2] :
          ( X1 = X2
          | ~ rf(X0,X2)
          | ~ rf(X0,X1) )
      | ~ cowlThing(X0) ),
    inference(flattening,[],[f66]) ).

fof(f66,plain,
    ! [X0] :
      ( ! [X1,X2] :
          ( X1 = X2
          | ~ rf(X0,X2)
          | ~ rf(X0,X1) )
      | ~ cowlThing(X0) ),
    inference(ennf_transformation,[],[f30]) ).

fof(f30,plain,
    ! [X0] :
      ( cowlThing(X0)
     => ! [X1,X2] :
          ( ( rf(X0,X2)
            & rf(X0,X1) )
         => X1 = X2 ) ),
    inference(rectify,[],[f20]) ).

fof(f20,axiom,
    ! [X3] :
      ( cowlThing(X3)
     => ! [X6,X7] :
          ( ( rf(X3,X7)
            & rf(X3,X6) )
         => X6 = X7 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_4) ).

fof(f313,plain,
    ( ~ spl4_16
    | spl4_20
    | ~ spl4_17 ),
    inference(avatar_split_clause,[],[f304,f284,f310,f280]) ).

fof(f280,plain,
    ( spl4_16
  <=> cd(sK1(i2003_11_14_17_19_32337)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_16])]) ).

fof(f284,plain,
    ( spl4_17
  <=> i2003_11_14_17_19_32337 = sK3(sK1(i2003_11_14_17_19_32337)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_17])]) ).

fof(f304,plain,
    ( rinvR(i2003_11_14_17_19_32337,sK1(i2003_11_14_17_19_32337))
    | ~ cd(sK1(i2003_11_14_17_19_32337))
    | ~ spl4_17 ),
    inference(superposition,[],[f148,f286]) ).

fof(f286,plain,
    ( i2003_11_14_17_19_32337 = sK3(sK1(i2003_11_14_17_19_32337))
    | ~ spl4_17 ),
    inference(avatar_component_clause,[],[f284]) ).

fof(f148,plain,
    ! [X0] :
      ( rinvR(sK3(X0),X0)
      | ~ cd(X0) ),
    inference(resolution,[],[f144,f120]) ).

fof(f120,plain,
    ! [X0,X1] :
      ( ~ rr(X1,X0)
      | rinvR(X0,X1) ),
    inference(cnf_transformation,[],[f85]) ).

fof(f85,plain,
    ! [X0,X1] :
      ( ( rinvR(X0,X1)
        | ~ rr(X1,X0) )
      & ( rr(X1,X0)
        | ~ rinvR(X0,X1) ) ),
    inference(nnf_transformation,[],[f32]) ).

fof(f32,plain,
    ! [X0,X1] :
      ( rinvR(X0,X1)
    <=> rr(X1,X0) ),
    inference(rectify,[],[f22]) ).

fof(f22,axiom,
    ! [X3,X4] :
      ( rinvR(X3,X4)
    <=> rr(X4,X3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_6) ).

fof(f144,plain,
    ! [X0] :
      ( rr(X0,sK3(X0))
      | ~ cd(X0) ),
    inference(resolution,[],[f123,f112]) ).

fof(f123,plain,
    ! [X0,X1] :
      ( ~ rf(X0,X1)
      | rr(X0,X1) ),
    inference(cnf_transformation,[],[f70]) ).

fof(f70,plain,
    ! [X0,X1] :
      ( rr(X0,X1)
      | ~ rf(X0,X1) ),
    inference(ennf_transformation,[],[f34]) ).

fof(f34,plain,
    ! [X0,X1] :
      ( rf(X0,X1)
     => rr(X0,X1) ),
    inference(rectify,[],[f25]) ).

fof(f25,axiom,
    ! [X3,X4] :
      ( rf(X3,X4)
     => rr(X3,X4) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_9) ).

fof(f302,plain,
    ( spl4_19
    | ~ spl4_16 ),
    inference(avatar_split_clause,[],[f300,f280,f295]) ).

fof(f300,plain,
    ( cc(sK1(i2003_11_14_17_19_32337))
    | ~ spl4_16 ),
    inference(resolution,[],[f281,f114]) ).

fof(f114,plain,
    ! [X0] :
      ( ~ cd(X0)
      | cc(X0) ),
    inference(cnf_transformation,[],[f83]) ).

fof(f281,plain,
    ( cd(sK1(i2003_11_14_17_19_32337))
    | ~ spl4_16 ),
    inference(avatar_component_clause,[],[f280]) ).

fof(f290,plain,
    ( ~ spl4_1
    | spl4_16 ),
    inference(avatar_split_clause,[],[f288,f280,f160]) ).

fof(f160,plain,
    ( spl4_1
  <=> cUnsatisfiable(i2003_11_14_17_19_32337) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_1])]) ).

fof(f288,plain,
    ( ~ cUnsatisfiable(i2003_11_14_17_19_32337)
    | spl4_16 ),
    inference(resolution,[],[f282,f109]) ).

fof(f109,plain,
    ! [X0] :
      ( cd(sK1(X0))
      | ~ cUnsatisfiable(X0) ),
    inference(cnf_transformation,[],[f78]) ).

fof(f282,plain,
    ( ~ cd(sK1(i2003_11_14_17_19_32337))
    | spl4_16 ),
    inference(avatar_component_clause,[],[f280]) ).

fof(f287,plain,
    ( ~ spl4_16
    | spl4_17 ),
    inference(avatar_split_clause,[],[f278,f284,f280]) ).

fof(f278,plain,
    ( i2003_11_14_17_19_32337 = sK3(sK1(i2003_11_14_17_19_32337))
    | ~ cd(sK1(i2003_11_14_17_19_32337)) ),
    inference(resolution,[],[f276,f112]) ).

fof(f276,plain,
    ! [X0] :
      ( ~ rf(sK1(i2003_11_14_17_19_32337),X0)
      | i2003_11_14_17_19_32337 = X0 ),
    inference(resolution,[],[f269,f122]) ).

fof(f269,plain,
    ! [X0,X1] :
      ( ~ cUnsatisfiable(X0)
      | X0 = X1
      | ~ rf(sK1(X0),X1) ),
    inference(resolution,[],[f267,f142]) ).

fof(f142,plain,
    ! [X0] :
      ( rf(sK1(X0),X0)
      | ~ cUnsatisfiable(X0) ),
    inference(resolution,[],[f117,f108]) ).

fof(f108,plain,
    ! [X0] :
      ( rinvF(X0,sK1(X0))
      | ~ cUnsatisfiable(X0) ),
    inference(cnf_transformation,[],[f78]) ).

fof(f117,plain,
    ! [X0,X1] :
      ( ~ rinvF(X0,X1)
      | rf(X1,X0) ),
    inference(cnf_transformation,[],[f84]) ).

fof(f84,plain,
    ! [X0,X1] :
      ( ( rinvF(X0,X1)
        | ~ rf(X1,X0) )
      & ( rf(X1,X0)
        | ~ rinvF(X0,X1) ) ),
    inference(nnf_transformation,[],[f31]) ).

fof(f31,plain,
    ! [X0,X1] :
      ( rinvF(X0,X1)
    <=> rf(X1,X0) ),
    inference(rectify,[],[f21]) ).

fof(f21,axiom,
    ! [X3,X4] :
      ( rinvF(X3,X4)
    <=> rf(X4,X3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_5) ).

fof(f182,plain,
    spl4_1,
    inference(avatar_contradiction_clause,[],[f181]) ).

fof(f181,plain,
    ( $false
    | spl4_1 ),
    inference(resolution,[],[f162,f122]) ).

fof(f162,plain,
    ( ~ cUnsatisfiable(i2003_11_14_17_19_32337)
    | spl4_1 ),
    inference(avatar_component_clause,[],[f160]) ).

fof(f167,plain,
    ( ~ spl4_1
    | spl4_2 ),
    inference(avatar_split_clause,[],[f158,f164,f160]) ).

fof(f158,plain,
    ( rf(sK2(sK1(i2003_11_14_17_19_32337)),sK1(i2003_11_14_17_19_32337))
    | ~ cUnsatisfiable(i2003_11_14_17_19_32337) ),
    inference(resolution,[],[f157,f149]) ).

fof(f149,plain,
    ! [X0] :
      ( rinvR(X0,sK1(X0))
      | ~ cUnsatisfiable(X0) ),
    inference(resolution,[],[f145,f120]) ).

fof(f145,plain,
    ! [X0] :
      ( rr(sK1(X0),X0)
      | ~ cUnsatisfiable(X0) ),
    inference(resolution,[],[f142,f123]) ).

fof(f157,plain,
    ! [X0] :
      ( ~ rinvR(i2003_11_14_17_19_32337,X0)
      | rf(sK2(X0),X0) ),
    inference(resolution,[],[f154,f122]) ).

fof(f154,plain,
    ! [X0,X1] :
      ( ~ cUnsatisfiable(X0)
      | ~ rinvR(X0,X1)
      | rf(sK2(X1),X1) ),
    inference(resolution,[],[f105,f117]) ).

fof(f105,plain,
    ! [X0,X5] :
      ( rinvF(X5,sK2(X5))
      | ~ rinvR(X0,X5)
      | ~ cUnsatisfiable(X0) ),
    inference(cnf_transformation,[],[f78]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem    : KRS083+1 : TPTP v8.2.0. 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
% 0.16/0.40  % Computer : n025.cluster.edu
% 0.16/0.40  % Model    : x86_64 x86_64
% 0.16/0.40  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.40  % Memory   : 8042.1875MB
% 0.16/0.40  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.16/0.40  % CPULimit   : 300
% 0.16/0.40  % WCLimit    : 300
% 0.16/0.40  % DateTime   : Sat May 18 22:23:23 EDT 2024
% 0.16/0.40  % CPUTime    : 
% 0.16/0.40  This is a FOF_UNS_RFO_SEQ problem
% 0.16/0.40  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/benchmark/theBenchmark.p
% 0.70/0.91  % (5262)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 (2994ds/34Mi)
% 0.70/0.91  % (5264)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on theBenchmark for (2994ds/78Mi)
% 0.70/0.91  % (5265)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on theBenchmark for (2994ds/33Mi)
% 0.70/0.91  % (5266)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 (2994ds/34Mi)
% 0.70/0.91  % (5263)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 (2994ds/51Mi)
% 0.70/0.91  % (5268)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 (2994ds/83Mi)
% 0.70/0.91  % (5267)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on theBenchmark for (2994ds/45Mi)
% 0.70/0.91  % (5269)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 (2994ds/56Mi)
% 0.70/0.91  % (5264)Refutation not found, incomplete strategy% (5264)------------------------------
% 0.70/0.91  % (5264)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.70/0.91  % (5262)Refutation not found, incomplete strategy% (5262)------------------------------
% 0.70/0.91  % (5262)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.70/0.91  % (5267)Refutation not found, incomplete strategy% (5267)------------------------------
% 0.70/0.91  % (5267)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.70/0.91  % (5268)Refutation not found, incomplete strategy% (5268)------------------------------
% 0.70/0.91  % (5268)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.70/0.91  % (5265)Refutation not found, incomplete strategy% (5265)------------------------------
% 0.70/0.91  % (5265)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.70/0.91  % (5262)Termination reason: Refutation not found, incomplete strategy
% 0.70/0.91  % (5268)Termination reason: Refutation not found, incomplete strategy
% 0.70/0.91  
% 0.70/0.91  
% 0.70/0.91  % (5265)Termination reason: Refutation not found, incomplete strategy
% 0.70/0.91  % (5267)Termination reason: Refutation not found, incomplete strategy
% 0.70/0.91  % (5268)Memory used [KB]: 948
% 0.70/0.91  
% 0.70/0.91  
% 0.70/0.91  % (5262)Memory used [KB]: 948
% 0.70/0.91  % (5265)Memory used [KB]: 948
% 0.70/0.91  % (5267)Memory used [KB]: 948
% 0.70/0.91  % (5268)Time elapsed: 0.002 s
% 0.70/0.91  % (5262)Time elapsed: 0.002 s
% 0.70/0.91  % (5265)Time elapsed: 0.002 s
% 0.70/0.91  % (5267)Time elapsed: 0.002 s
% 0.70/0.91  % (5268)Instructions burned: 2 (million)
% 0.70/0.91  % (5262)Instructions burned: 2 (million)
% 0.70/0.91  % (5265)Instructions burned: 2 (million)
% 0.70/0.91  % (5267)Instructions burned: 2 (million)
% 0.70/0.91  % (5264)Termination reason: Refutation not found, incomplete strategy
% 0.70/0.91  
% 0.70/0.91  % (5264)Memory used [KB]: 947
% 0.70/0.91  % (5264)Time elapsed: 0.002 s
% 0.70/0.91  % (5264)Instructions burned: 2 (million)
% 0.70/0.92  % (5269)Refutation not found, incomplete strategy% (5269)------------------------------
% 0.70/0.92  % (5269)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.70/0.92  % (5269)Termination reason: Refutation not found, incomplete strategy
% 0.70/0.92  
% 0.70/0.92  % (5269)Memory used [KB]: 948
% 0.70/0.92  % (5269)Time elapsed: 0.002 s
% 0.70/0.92  % (5269)Instructions burned: 2 (million)
% 0.70/0.92  % (5268)------------------------------
% 0.70/0.92  % (5268)------------------------------
% 0.70/0.92  % (5267)------------------------------
% 0.70/0.92  % (5267)------------------------------
% 0.70/0.92  % (5265)------------------------------
% 0.70/0.92  % (5265)------------------------------
% 0.70/0.92  % (5264)------------------------------
% 0.70/0.92  % (5264)------------------------------
% 0.70/0.92  % (5262)------------------------------
% 0.70/0.92  % (5262)------------------------------
% 0.70/0.92  % (5269)------------------------------
% 0.70/0.92  % (5269)------------------------------
% 0.70/0.92  % (5266)Refutation not found, incomplete strategy% (5266)------------------------------
% 0.70/0.92  % (5266)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.70/0.92  % (5266)Termination reason: Refutation not found, incomplete strategy
% 0.70/0.92  
% 0.70/0.92  % (5266)Memory used [KB]: 1030
% 0.70/0.92  % (5266)Time elapsed: 0.003 s
% 0.70/0.92  % (5266)Instructions burned: 3 (million)
% 0.70/0.92  % (5266)------------------------------
% 0.70/0.92  % (5266)------------------------------
% 0.70/0.92  % (5270)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 (2994ds/55Mi)
% 0.70/0.92  % (5272)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 (2994ds/208Mi)
% 0.70/0.92  % (5273)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 (2994ds/52Mi)
% 0.70/0.92  % (5274)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 (2994ds/518Mi)
% 0.70/0.92  % (5271)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 (2994ds/50Mi)
% 0.70/0.92  % (5275)lrs+1011_87677:1048576_sil=8000:sos=on:spb=non_intro:nwc=10.0:kmz=on:i=42:ep=RS:nm=0:ins=1:uhcvi=on:rawr=on:fde=unused:afp=2000:afq=1.444:plsq=on:nicw=on_0 on theBenchmark for (2994ds/42Mi)
% 0.70/0.92  % (5272)Refutation not found, incomplete strategy% (5272)------------------------------
% 0.70/0.92  % (5272)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.70/0.92  % (5274)Refutation not found, incomplete strategy% (5274)------------------------------
% 0.70/0.92  % (5274)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.70/0.92  % (5273)Refutation not found, incomplete strategy% (5273)------------------------------
% 0.70/0.92  % (5273)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.70/0.92  % (5272)Termination reason: Refutation not found, incomplete strategy
% 0.70/0.92  % (5274)Termination reason: Refutation not found, incomplete strategy
% 0.70/0.92  
% 0.70/0.92  % (5274)Memory used [KB]: 948
% 0.70/0.92  % (5274)Time elapsed: 0.002 s
% 0.70/0.92  % (5273)Termination reason: Refutation not found, incomplete strategy
% 0.70/0.92  
% 0.70/0.92  % (5274)Instructions burned: 2 (million)
% 0.70/0.92  % (5273)Memory used [KB]: 948
% 0.70/0.92  % (5276)dis+1011_1258907:1048576_bsr=unit_only:to=lpo:drc=off:sil=2000:tgt=full:fde=none:sp=frequency:spb=goal:rnwc=on:nwc=6.70083:sac=on:newcnf=on:st=2:i=243:bs=unit_only:sd=3:afp=300:awrs=decay:awrsf=218:nm=16:ins=3:afq=3.76821:afr=on:ss=axioms:sgt=5:rawr=on:add=off:bsd=on_0 on theBenchmark for (2994ds/243Mi)
% 0.70/0.92  % (5273)Time elapsed: 0.002 s
% 0.70/0.92  % (5273)Instructions burned: 2 (million)
% 0.70/0.92  
% 0.70/0.92  % (5272)Memory used [KB]: 948
% 0.70/0.92  % (5272)Time elapsed: 0.002 s
% 0.70/0.92  % (5272)Instructions burned: 2 (million)
% 0.70/0.92  % (5273)------------------------------
% 0.70/0.92  % (5273)------------------------------
% 0.70/0.92  % (5274)------------------------------
% 0.70/0.92  % (5274)------------------------------
% 0.70/0.92  % (5276)Refutation not found, incomplete strategy% (5276)------------------------------
% 0.70/0.92  % (5276)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.70/0.92  % (5272)------------------------------
% 0.70/0.92  % (5272)------------------------------
% 0.70/0.92  % (5276)Termination reason: Refutation not found, incomplete strategy
% 0.70/0.92  
% 0.70/0.92  % (5276)Memory used [KB]: 949
% 0.70/0.92  % (5276)Time elapsed: 0.002 s
% 0.70/0.92  % (5276)Instructions burned: 2 (million)
% 0.70/0.92  % (5263)First to succeed.
% 0.70/0.92  % (5276)------------------------------
% 0.70/0.92  % (5276)------------------------------
% 0.70/0.92  % (5275)Refutation not found, incomplete strategy% (5275)------------------------------
% 0.70/0.92  % (5275)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.70/0.92  % (5275)Termination reason: Refutation not found, incomplete strategy
% 0.70/0.92  
% 0.70/0.92  % (5275)Memory used [KB]: 1033
% 0.70/0.92  % (5275)Time elapsed: 0.003 s
% 0.70/0.92  % (5275)Instructions burned: 3 (million)
% 0.70/0.92  % (5271)Refutation not found, incomplete strategy% (5271)------------------------------
% 0.70/0.92  % (5271)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.70/0.92  % (5271)Termination reason: Refutation not found, incomplete strategy
% 0.70/0.92  
% 0.70/0.92  % (5271)Memory used [KB]: 1045
% 0.70/0.92  % (5271)Time elapsed: 0.003 s
% 0.70/0.92  % (5271)Instructions burned: 3 (million)
% 0.70/0.92  % (5275)------------------------------
% 0.70/0.92  % (5275)------------------------------
% 0.70/0.92  % (5271)------------------------------
% 0.70/0.92  % (5271)------------------------------
% 0.70/0.92  % (5263)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-5261"
% 0.70/0.92  % (5270)Also succeeded, but the first one will report.
% 0.70/0.92  % (5263)Refutation found. Thanks to Tanya!
% 0.70/0.92  % SZS status Unsatisfiable for theBenchmark
% 0.70/0.92  % SZS output start Proof for theBenchmark
% See solution above
% 0.70/0.92  % (5263)------------------------------
% 0.70/0.92  % (5263)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.70/0.92  % (5263)Termination reason: Refutation
% 0.70/0.92  
% 0.70/0.92  % (5263)Memory used [KB]: 1179
% 0.70/0.92  % (5263)Time elapsed: 0.009 s
% 0.70/0.92  % (5263)Instructions burned: 11 (million)
% 0.70/0.92  % (5261)Success in time 0.515 s
% 0.70/0.92  % Vampire---4.8 exiting
%------------------------------------------------------------------------------