TSTP Solution File: KRS117+1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : KRS117+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 : n019.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 07:17:54 EDT 2024

% Result   : Unsatisfiable 0.57s 0.76s
% Output   : Refutation 0.57s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   21
%            Number of leaves      :   22
% Syntax   : Number of formulae    :  114 (   5 unt;   0 def)
%            Number of atoms       :  371 (  23 equ)
%            Maximal formula atoms :   12 (   3 avg)
%            Number of connectives :  417 ( 160   ~; 149   |;  73   &)
%                                         (  21 <=>;  14  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   10 (   5 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :   19 (  17 usr;   6 prp; 0-2 aty)
%            Number of functors    :    7 (   7 usr;   1 con; 0-1 aty)
%            Number of variables   :  175 ( 143   !;  32   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f397,plain,
    $false,
    inference(avatar_sat_refutation,[],[f216,f224,f236,f240,f359,f396]) ).

fof(f396,plain,
    ( ~ spl6_3
    | spl6_14 ),
    inference(avatar_split_clause,[],[f394,f351,f221]) ).

fof(f221,plain,
    ( spl6_3
  <=> rf(sK1(i2003_11_14_17_21_37349),i2003_11_14_17_21_37349) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_3])]) ).

fof(f351,plain,
    ( spl6_14
  <=> cd(sK5(sK1(i2003_11_14_17_21_37349))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_14])]) ).

fof(f394,plain,
    ( ~ rf(sK1(i2003_11_14_17_21_37349),i2003_11_14_17_21_37349)
    | spl6_14 ),
    inference(resolution,[],[f392,f163]) ).

fof(f163,plain,
    ! [X0,X1] :
      ( rr(X0,X1)
      | ~ rf(X0,X1) ),
    inference(cnf_transformation,[],[f89]) ).

fof(f89,plain,
    ! [X0,X1] :
      ( rr(X0,X1)
      | ~ rf(X0,X1) ),
    inference(ennf_transformation,[],[f44]) ).

fof(f44,plain,
    ! [X0,X1] :
      ( rf(X0,X1)
     => rr(X0,X1) ),
    inference(rectify,[],[f32]) ).

fof(f32,axiom,
    ! [X3,X4] :
      ( rf(X3,X4)
     => rr(X3,X4) ),
    file('/export/starexec/sandbox2/tmp/tmp.9adNUJvF0z/Vampire---4.8_26309',axiom_12) ).

fof(f392,plain,
    ( ~ rr(sK1(i2003_11_14_17_21_37349),i2003_11_14_17_21_37349)
    | spl6_14 ),
    inference(resolution,[],[f389,f162]) ).

fof(f162,plain,
    cUnsatisfiable(i2003_11_14_17_21_37349),
    inference(cnf_transformation,[],[f31]) ).

fof(f31,axiom,
    cUnsatisfiable(i2003_11_14_17_21_37349),
    file('/export/starexec/sandbox2/tmp/tmp.9adNUJvF0z/Vampire---4.8_26309',axiom_11) ).

fof(f389,plain,
    ( ! [X0] :
        ( ~ cUnsatisfiable(X0)
        | ~ rr(sK1(i2003_11_14_17_21_37349),X0) )
    | spl6_14 ),
    inference(resolution,[],[f376,f160]) ).

fof(f160,plain,
    ! [X0,X1] :
      ( rinvR(X0,X1)
      | ~ rr(X1,X0) ),
    inference(cnf_transformation,[],[f115]) ).

fof(f115,plain,
    ! [X0,X1] :
      ( ( rinvR(X0,X1)
        | ~ rr(X1,X0) )
      & ( rr(X1,X0)
        | ~ rinvR(X0,X1) ) ),
    inference(nnf_transformation,[],[f42]) ).

fof(f42,plain,
    ! [X0,X1] :
      ( rinvR(X0,X1)
    <=> rr(X1,X0) ),
    inference(rectify,[],[f29]) ).

fof(f29,axiom,
    ! [X3,X4] :
      ( rinvR(X3,X4)
    <=> rr(X4,X3) ),
    file('/export/starexec/sandbox2/tmp/tmp.9adNUJvF0z/Vampire---4.8_26309',axiom_9) ).

fof(f376,plain,
    ( ! [X0] :
        ( ~ rinvR(X0,sK1(i2003_11_14_17_21_37349))
        | ~ cUnsatisfiable(X0) )
    | spl6_14 ),
    inference(resolution,[],[f365,f140]) ).

fof(f140,plain,
    ! [X0,X4] :
      ( ca_Vx3(X4)
      | ~ rinvR(X0,X4)
      | ~ cUnsatisfiable(X0) ),
    inference(cnf_transformation,[],[f96]) ).

fof(f96,plain,
    ! [X0] :
      ( ( cUnsatisfiable(X0)
        | ! [X1] :
            ( ~ cd(X1)
            | ~ rinvF(X0,X1) )
        | ( ~ ca_Vx3(sK0(X0))
          & rinvR(X0,sK0(X0)) )
        | ~ ccxcomp(X0) )
      & ( ( cd(sK1(X0))
          & rinvF(X0,sK1(X0))
          & ! [X4] :
              ( ca_Vx3(X4)
              | ~ rinvR(X0,X4) )
          & ccxcomp(X0) )
        | ~ cUnsatisfiable(X0) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f93,f95,f94]) ).

fof(f94,plain,
    ! [X0] :
      ( ? [X2] :
          ( ~ ca_Vx3(X2)
          & rinvR(X0,X2) )
     => ( ~ ca_Vx3(sK0(X0))
        & rinvR(X0,sK0(X0)) ) ),
    introduced(choice_axiom,[]) ).

fof(f95,plain,
    ! [X0] :
      ( ? [X3] :
          ( cd(X3)
          & rinvF(X0,X3) )
     => ( cd(sK1(X0))
        & rinvF(X0,sK1(X0)) ) ),
    introduced(choice_axiom,[]) ).

fof(f93,plain,
    ! [X0] :
      ( ( cUnsatisfiable(X0)
        | ! [X1] :
            ( ~ cd(X1)
            | ~ rinvF(X0,X1) )
        | ? [X2] :
            ( ~ ca_Vx3(X2)
            & rinvR(X0,X2) )
        | ~ ccxcomp(X0) )
      & ( ( ? [X3] :
              ( cd(X3)
              & rinvF(X0,X3) )
          & ! [X4] :
              ( ca_Vx3(X4)
              | ~ rinvR(X0,X4) )
          & ccxcomp(X0) )
        | ~ cUnsatisfiable(X0) ) ),
    inference(rectify,[],[f92]) ).

fof(f92,plain,
    ! [X0] :
      ( ( cUnsatisfiable(X0)
        | ! [X1] :
            ( ~ cd(X1)
            | ~ rinvF(X0,X1) )
        | ? [X2] :
            ( ~ ca_Vx3(X2)
            & rinvR(X0,X2) )
        | ~ ccxcomp(X0) )
      & ( ( ? [X1] :
              ( cd(X1)
              & rinvF(X0,X1) )
          & ! [X2] :
              ( ca_Vx3(X2)
              | ~ rinvR(X0,X2) )
          & ccxcomp(X0) )
        | ~ cUnsatisfiable(X0) ) ),
    inference(flattening,[],[f91]) ).

fof(f91,plain,
    ! [X0] :
      ( ( cUnsatisfiable(X0)
        | ! [X1] :
            ( ~ cd(X1)
            | ~ rinvF(X0,X1) )
        | ? [X2] :
            ( ~ ca_Vx3(X2)
            & rinvR(X0,X2) )
        | ~ ccxcomp(X0) )
      & ( ( ? [X1] :
              ( cd(X1)
              & rinvF(X0,X1) )
          & ! [X2] :
              ( ca_Vx3(X2)
              | ~ rinvR(X0,X2) )
          & ccxcomp(X0) )
        | ~ cUnsatisfiable(X0) ) ),
    inference(nnf_transformation,[],[f83]) ).

fof(f83,plain,
    ! [X0] :
      ( cUnsatisfiable(X0)
    <=> ( ? [X1] :
            ( cd(X1)
            & rinvF(X0,X1) )
        & ! [X2] :
            ( ca_Vx3(X2)
            | ~ rinvR(X0,X2) )
        & ccxcomp(X0) ) ),
    inference(ennf_transformation,[],[f35]) ).

fof(f35,plain,
    ! [X0] :
      ( cUnsatisfiable(X0)
    <=> ( ? [X1] :
            ( cd(X1)
            & rinvF(X0,X1) )
        & ! [X2] :
            ( rinvR(X0,X2)
           => ca_Vx3(X2) )
        & ccxcomp(X0) ) ),
    inference(rectify,[],[f22]) ).

fof(f22,axiom,
    ! [X3] :
      ( cUnsatisfiable(X3)
    <=> ( ? [X4] :
            ( cd(X4)
            & rinvF(X3,X4) )
        & ! [X4] :
            ( rinvR(X3,X4)
           => ca_Vx3(X4) )
        & ccxcomp(X3) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.9adNUJvF0z/Vampire---4.8_26309',axiom_2) ).

fof(f365,plain,
    ( ~ ca_Vx3(sK1(i2003_11_14_17_21_37349))
    | spl6_14 ),
    inference(resolution,[],[f353,f154]) ).

fof(f154,plain,
    ! [X0] :
      ( cd(sK5(X0))
      | ~ ca_Vx3(X0) ),
    inference(cnf_transformation,[],[f113]) ).

fof(f113,plain,
    ! [X0] :
      ( ( ca_Vx3(X0)
        | ! [X1] :
            ( ~ cd(X1)
            | ~ rinvF(X0,X1) ) )
      & ( ( cd(sK5(X0))
          & rinvF(X0,sK5(X0)) )
        | ~ ca_Vx3(X0) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK5])],[f111,f112]) ).

fof(f112,plain,
    ! [X0] :
      ( ? [X2] :
          ( cd(X2)
          & rinvF(X0,X2) )
     => ( cd(sK5(X0))
        & rinvF(X0,sK5(X0)) ) ),
    introduced(choice_axiom,[]) ).

fof(f111,plain,
    ! [X0] :
      ( ( ca_Vx3(X0)
        | ! [X1] :
            ( ~ cd(X1)
            | ~ rinvF(X0,X1) ) )
      & ( ? [X2] :
            ( cd(X2)
            & rinvF(X0,X2) )
        | ~ ca_Vx3(X0) ) ),
    inference(rectify,[],[f110]) ).

fof(f110,plain,
    ! [X0] :
      ( ( ca_Vx3(X0)
        | ! [X1] :
            ( ~ cd(X1)
            | ~ rinvF(X0,X1) ) )
      & ( ? [X1] :
            ( cd(X1)
            & rinvF(X0,X1) )
        | ~ ca_Vx3(X0) ) ),
    inference(nnf_transformation,[],[f39]) ).

fof(f39,plain,
    ! [X0] :
      ( ca_Vx3(X0)
    <=> ? [X1] :
          ( cd(X1)
          & rinvF(X0,X1) ) ),
    inference(rectify,[],[f26]) ).

fof(f26,axiom,
    ! [X3] :
      ( ca_Vx3(X3)
    <=> ? [X4] :
          ( cd(X4)
          & rinvF(X3,X4) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.9adNUJvF0z/Vampire---4.8_26309',axiom_6) ).

fof(f353,plain,
    ( ~ cd(sK5(sK1(i2003_11_14_17_21_37349)))
    | spl6_14 ),
    inference(avatar_component_clause,[],[f351]) ).

fof(f359,plain,
    ( ~ spl6_14
    | ~ spl6_5
    | ~ spl6_3 ),
    inference(avatar_split_clause,[],[f348,f221,f231,f351]) ).

fof(f231,plain,
    ( spl6_5
  <=> cc(sK1(i2003_11_14_17_21_37349)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_5])]) ).

fof(f348,plain,
    ( ~ cc(sK1(i2003_11_14_17_21_37349))
    | ~ cd(sK5(sK1(i2003_11_14_17_21_37349)))
    | ~ spl6_3 ),
    inference(superposition,[],[f192,f294]) ).

fof(f294,plain,
    ( sK1(i2003_11_14_17_21_37349) = sK4(sK5(sK1(i2003_11_14_17_21_37349)))
    | ~ spl6_3 ),
    inference(resolution,[],[f292,f223]) ).

fof(f223,plain,
    ( rf(sK1(i2003_11_14_17_21_37349),i2003_11_14_17_21_37349)
    | ~ spl6_3 ),
    inference(avatar_component_clause,[],[f221]) ).

fof(f292,plain,
    ! [X0] :
      ( ~ rf(X0,i2003_11_14_17_21_37349)
      | sK4(sK5(X0)) = X0 ),
    inference(resolution,[],[f290,f163]) ).

fof(f290,plain,
    ! [X0] :
      ( ~ rr(X0,i2003_11_14_17_21_37349)
      | sK4(sK5(X0)) = X0 ),
    inference(duplicate_literal_removal,[],[f288]) ).

fof(f288,plain,
    ! [X0] :
      ( ~ rr(X0,i2003_11_14_17_21_37349)
      | sK4(sK5(X0)) = X0
      | ~ rr(X0,i2003_11_14_17_21_37349) ),
    inference(resolution,[],[f287,f160]) ).

fof(f287,plain,
    ! [X0] :
      ( ~ rinvR(i2003_11_14_17_21_37349,X0)
      | ~ rr(X0,i2003_11_14_17_21_37349)
      | sK4(sK5(X0)) = X0 ),
    inference(resolution,[],[f278,f162]) ).

fof(f278,plain,
    ! [X0,X1] :
      ( ~ cUnsatisfiable(X1)
      | ~ rr(X0,i2003_11_14_17_21_37349)
      | ~ rinvR(X1,X0)
      | sK4(sK5(X0)) = X0 ),
    inference(resolution,[],[f275,f140]) ).

fof(f275,plain,
    ! [X0] :
      ( ~ ca_Vx3(X0)
      | sK4(sK5(X0)) = X0
      | ~ rr(X0,i2003_11_14_17_21_37349) ),
    inference(resolution,[],[f274,f154]) ).

fof(f274,plain,
    ! [X0] :
      ( ~ cd(sK5(X0))
      | ~ rr(X0,i2003_11_14_17_21_37349)
      | sK4(sK5(X0)) = X0 ),
    inference(resolution,[],[f272,f149]) ).

fof(f149,plain,
    ! [X0] :
      ( rf(X0,sK4(X0))
      | ~ cd(X0) ),
    inference(cnf_transformation,[],[f109]) ).

fof(f109,plain,
    ! [X0] :
      ( ( cd(X0)
        | ~ cc(X0)
        | ! [X1] :
            ( ~ ccxcomp(X1)
            | ~ rf(X0,X1) ) )
      & ( ( cc(X0)
          & ccxcomp(sK4(X0))
          & rf(X0,sK4(X0)) )
        | ~ cd(X0) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK4])],[f107,f108]) ).

fof(f108,plain,
    ! [X0] :
      ( ? [X2] :
          ( ccxcomp(X2)
          & rf(X0,X2) )
     => ( ccxcomp(sK4(X0))
        & rf(X0,sK4(X0)) ) ),
    introduced(choice_axiom,[]) ).

fof(f107,plain,
    ! [X0] :
      ( ( cd(X0)
        | ~ cc(X0)
        | ! [X1] :
            ( ~ ccxcomp(X1)
            | ~ rf(X0,X1) ) )
      & ( ( cc(X0)
          & ? [X2] :
              ( ccxcomp(X2)
              & rf(X0,X2) ) )
        | ~ cd(X0) ) ),
    inference(rectify,[],[f106]) ).

fof(f106,plain,
    ! [X0] :
      ( ( cd(X0)
        | ~ cc(X0)
        | ! [X1] :
            ( ~ ccxcomp(X1)
            | ~ rf(X0,X1) ) )
      & ( ( cc(X0)
          & ? [X1] :
              ( ccxcomp(X1)
              & rf(X0,X1) ) )
        | ~ cd(X0) ) ),
    inference(flattening,[],[f105]) ).

fof(f105,plain,
    ! [X0] :
      ( ( cd(X0)
        | ~ cc(X0)
        | ! [X1] :
            ( ~ ccxcomp(X1)
            | ~ rf(X0,X1) ) )
      & ( ( cc(X0)
          & ? [X1] :
              ( ccxcomp(X1)
              & rf(X0,X1) ) )
        | ~ cd(X0) ) ),
    inference(nnf_transformation,[],[f38]) ).

fof(f38,plain,
    ! [X0] :
      ( cd(X0)
    <=> ( cc(X0)
        & ? [X1] :
            ( ccxcomp(X1)
            & rf(X0,X1) ) ) ),
    inference(rectify,[],[f25]) ).

fof(f25,axiom,
    ! [X3] :
      ( cd(X3)
    <=> ( cc(X3)
        & ? [X4] :
            ( ccxcomp(X4)
            & rf(X3,X4) ) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.9adNUJvF0z/Vampire---4.8_26309',axiom_5) ).

fof(f272,plain,
    ! [X0,X1] :
      ( ~ rf(sK5(X0),X1)
      | X0 = X1
      | ~ rr(X0,i2003_11_14_17_21_37349) ),
    inference(resolution,[],[f271,f160]) ).

fof(f271,plain,
    ! [X0,X1] :
      ( ~ rinvR(i2003_11_14_17_21_37349,X0)
      | ~ rf(sK5(X0),X1)
      | X0 = X1 ),
    inference(resolution,[],[f262,f162]) ).

fof(f262,plain,
    ! [X2,X0,X1] :
      ( ~ cUnsatisfiable(X2)
      | ~ rf(sK5(X0),X1)
      | ~ rinvR(X2,X0)
      | X0 = X1 ),
    inference(resolution,[],[f201,f140]) ).

fof(f201,plain,
    ! [X0,X1] :
      ( ~ ca_Vx3(X0)
      | X0 = X1
      | ~ rf(sK5(X0),X1) ),
    inference(resolution,[],[f198,f195]) ).

fof(f195,plain,
    ! [X0] :
      ( rf(sK5(X0),X0)
      | ~ ca_Vx3(X0) ),
    inference(resolution,[],[f157,f153]) ).

fof(f153,plain,
    ! [X0] :
      ( rinvF(X0,sK5(X0))
      | ~ ca_Vx3(X0) ),
    inference(cnf_transformation,[],[f113]) ).

fof(f157,plain,
    ! [X0,X1] :
      ( ~ rinvF(X0,X1)
      | rf(X1,X0) ),
    inference(cnf_transformation,[],[f114]) ).

fof(f114,plain,
    ! [X0,X1] :
      ( ( rinvF(X0,X1)
        | ~ rf(X1,X0) )
      & ( rf(X1,X0)
        | ~ rinvF(X0,X1) ) ),
    inference(nnf_transformation,[],[f41]) ).

fof(f41,plain,
    ! [X0,X1] :
      ( rinvF(X0,X1)
    <=> rf(X1,X0) ),
    inference(rectify,[],[f28]) ).

fof(f28,axiom,
    ! [X3,X4] :
      ( rinvF(X3,X4)
    <=> rf(X4,X3) ),
    file('/export/starexec/sandbox2/tmp/tmp.9adNUJvF0z/Vampire---4.8_26309',axiom_8) ).

fof(f198,plain,
    ! [X2,X0,X1] :
      ( ~ rf(X0,X1)
      | ~ rf(X0,X2)
      | X1 = X2 ),
    inference(resolution,[],[f156,f135]) ).

fof(f135,plain,
    ! [X0] : cowlThing(X0),
    inference(cnf_transformation,[],[f33]) ).

fof(f33,plain,
    ! [X0] :
      ( ~ cowlNothing(X0)
      & cowlThing(X0) ),
    inference(rectify,[],[f20]) ).

fof(f20,axiom,
    ! [X3] :
      ( ~ cowlNothing(X3)
      & cowlThing(X3) ),
    file('/export/starexec/sandbox2/tmp/tmp.9adNUJvF0z/Vampire---4.8_26309',axiom_0) ).

fof(f156,plain,
    ! [X2,X0,X1] :
      ( ~ cowlThing(X0)
      | ~ rf(X0,X2)
      | ~ rf(X0,X1)
      | X1 = X2 ),
    inference(cnf_transformation,[],[f86]) ).

fof(f86,plain,
    ! [X0] :
      ( ! [X1,X2] :
          ( X1 = X2
          | ~ rf(X0,X2)
          | ~ rf(X0,X1) )
      | ~ cowlThing(X0) ),
    inference(flattening,[],[f85]) ).

fof(f85,plain,
    ! [X0] :
      ( ! [X1,X2] :
          ( X1 = X2
          | ~ rf(X0,X2)
          | ~ rf(X0,X1) )
      | ~ cowlThing(X0) ),
    inference(ennf_transformation,[],[f40]) ).

fof(f40,plain,
    ! [X0] :
      ( cowlThing(X0)
     => ! [X1,X2] :
          ( ( rf(X0,X2)
            & rf(X0,X1) )
         => X1 = X2 ) ),
    inference(rectify,[],[f27]) ).

fof(f27,axiom,
    ! [X3] :
      ( cowlThing(X3)
     => ! [X5,X6] :
          ( ( rf(X3,X6)
            & rf(X3,X5) )
         => X5 = X6 ) ),
    file('/export/starexec/sandbox2/tmp/tmp.9adNUJvF0z/Vampire---4.8_26309',axiom_7) ).

fof(f192,plain,
    ! [X0] :
      ( ~ cc(sK4(X0))
      | ~ cd(X0) ),
    inference(resolution,[],[f190,f150]) ).

fof(f150,plain,
    ! [X0] :
      ( ccxcomp(sK4(X0))
      | ~ cd(X0) ),
    inference(cnf_transformation,[],[f109]) ).

fof(f190,plain,
    ! [X0] :
      ( ~ ccxcomp(X0)
      | ~ cc(X0) ),
    inference(resolution,[],[f147,f145]) ).

fof(f145,plain,
    ! [X2,X0] :
      ( ~ ra_Px1(X0,X2)
      | ~ cc(X0) ),
    inference(cnf_transformation,[],[f100]) ).

fof(f100,plain,
    ! [X0] :
      ( ( cc(X0)
        | ra_Px1(X0,sK2(X0)) )
      & ( ! [X2] : ~ ra_Px1(X0,X2)
        | ~ cc(X0) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK2])],[f98,f99]) ).

fof(f99,plain,
    ! [X0] :
      ( ? [X1] : ra_Px1(X0,X1)
     => ra_Px1(X0,sK2(X0)) ),
    introduced(choice_axiom,[]) ).

fof(f98,plain,
    ! [X0] :
      ( ( cc(X0)
        | ? [X1] : ra_Px1(X0,X1) )
      & ( ! [X2] : ~ ra_Px1(X0,X2)
        | ~ cc(X0) ) ),
    inference(rectify,[],[f97]) ).

fof(f97,plain,
    ! [X0] :
      ( ( cc(X0)
        | ? [X1] : ra_Px1(X0,X1) )
      & ( ! [X1] : ~ ra_Px1(X0,X1)
        | ~ cc(X0) ) ),
    inference(nnf_transformation,[],[f84]) ).

fof(f84,plain,
    ! [X0] :
      ( cc(X0)
    <=> ! [X1] : ~ ra_Px1(X0,X1) ),
    inference(ennf_transformation,[],[f36]) ).

fof(f36,plain,
    ! [X0] :
      ( cc(X0)
    <=> ~ ? [X1] : ra_Px1(X0,X1) ),
    inference(rectify,[],[f23]) ).

fof(f23,axiom,
    ! [X3] :
      ( cc(X3)
    <=> ~ ? [X4] : ra_Px1(X3,X4) ),
    file('/export/starexec/sandbox2/tmp/tmp.9adNUJvF0z/Vampire---4.8_26309',axiom_3) ).

fof(f147,plain,
    ! [X0] :
      ( ra_Px1(X0,sK3(X0))
      | ~ ccxcomp(X0) ),
    inference(cnf_transformation,[],[f104]) ).

fof(f104,plain,
    ! [X0] :
      ( ( ccxcomp(X0)
        | ! [X1] : ~ ra_Px1(X0,X1) )
      & ( ra_Px1(X0,sK3(X0))
        | ~ ccxcomp(X0) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK3])],[f102,f103]) ).

fof(f103,plain,
    ! [X0] :
      ( ? [X2] : ra_Px1(X0,X2)
     => ra_Px1(X0,sK3(X0)) ),
    introduced(choice_axiom,[]) ).

fof(f102,plain,
    ! [X0] :
      ( ( ccxcomp(X0)
        | ! [X1] : ~ ra_Px1(X0,X1) )
      & ( ? [X2] : ra_Px1(X0,X2)
        | ~ ccxcomp(X0) ) ),
    inference(rectify,[],[f101]) ).

fof(f101,plain,
    ! [X0] :
      ( ( ccxcomp(X0)
        | ! [X1] : ~ ra_Px1(X0,X1) )
      & ( ? [X1] : ra_Px1(X0,X1)
        | ~ ccxcomp(X0) ) ),
    inference(nnf_transformation,[],[f37]) ).

fof(f37,plain,
    ! [X0] :
      ( ccxcomp(X0)
    <=> ? [X1] : ra_Px1(X0,X1) ),
    inference(rectify,[],[f24]) ).

fof(f24,axiom,
    ! [X3] :
      ( ccxcomp(X3)
    <=> ? [X5] : ra_Px1(X3,X5) ),
    file('/export/starexec/sandbox2/tmp/tmp.9adNUJvF0z/Vampire---4.8_26309',axiom_4) ).

fof(f240,plain,
    ( spl6_5
    | ~ spl6_1 ),
    inference(avatar_split_clause,[],[f238,f209,f231]) ).

fof(f209,plain,
    ( spl6_1
  <=> cd(sK1(i2003_11_14_17_21_37349)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_1])]) ).

fof(f238,plain,
    ( cc(sK1(i2003_11_14_17_21_37349))
    | ~ spl6_1 ),
    inference(resolution,[],[f210,f151]) ).

fof(f151,plain,
    ! [X0] :
      ( ~ cd(X0)
      | cc(X0) ),
    inference(cnf_transformation,[],[f109]) ).

fof(f210,plain,
    ( cd(sK1(i2003_11_14_17_21_37349))
    | ~ spl6_1 ),
    inference(avatar_component_clause,[],[f209]) ).

fof(f236,plain,
    spl6_1,
    inference(avatar_contradiction_clause,[],[f235]) ).

fof(f235,plain,
    ( $false
    | spl6_1 ),
    inference(resolution,[],[f225,f162]) ).

fof(f225,plain,
    ( ~ cUnsatisfiable(i2003_11_14_17_21_37349)
    | spl6_1 ),
    inference(resolution,[],[f211,f142]) ).

fof(f142,plain,
    ! [X0] :
      ( cd(sK1(X0))
      | ~ cUnsatisfiable(X0) ),
    inference(cnf_transformation,[],[f96]) ).

fof(f211,plain,
    ( ~ cd(sK1(i2003_11_14_17_21_37349))
    | spl6_1 ),
    inference(avatar_component_clause,[],[f209]) ).

fof(f224,plain,
    ( ~ spl6_1
    | spl6_3
    | ~ spl6_2 ),
    inference(avatar_split_clause,[],[f217,f213,f221,f209]) ).

fof(f213,plain,
    ( spl6_2
  <=> i2003_11_14_17_21_37349 = sK4(sK1(i2003_11_14_17_21_37349)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_2])]) ).

fof(f217,plain,
    ( rf(sK1(i2003_11_14_17_21_37349),i2003_11_14_17_21_37349)
    | ~ cd(sK1(i2003_11_14_17_21_37349))
    | ~ spl6_2 ),
    inference(superposition,[],[f149,f215]) ).

fof(f215,plain,
    ( i2003_11_14_17_21_37349 = sK4(sK1(i2003_11_14_17_21_37349))
    | ~ spl6_2 ),
    inference(avatar_component_clause,[],[f213]) ).

fof(f216,plain,
    ( ~ spl6_1
    | spl6_2 ),
    inference(avatar_split_clause,[],[f207,f213,f209]) ).

fof(f207,plain,
    ( i2003_11_14_17_21_37349 = sK4(sK1(i2003_11_14_17_21_37349))
    | ~ cd(sK1(i2003_11_14_17_21_37349)) ),
    inference(resolution,[],[f205,f149]) ).

fof(f205,plain,
    ! [X0] :
      ( ~ rf(sK1(i2003_11_14_17_21_37349),X0)
      | i2003_11_14_17_21_37349 = X0 ),
    inference(resolution,[],[f200,f162]) ).

fof(f200,plain,
    ! [X0,X1] :
      ( ~ cUnsatisfiable(X0)
      | X0 = X1
      | ~ rf(sK1(X0),X1) ),
    inference(resolution,[],[f198,f194]) ).

fof(f194,plain,
    ! [X0] :
      ( rf(sK1(X0),X0)
      | ~ cUnsatisfiable(X0) ),
    inference(resolution,[],[f157,f141]) ).

fof(f141,plain,
    ! [X0] :
      ( rinvF(X0,sK1(X0))
      | ~ cUnsatisfiable(X0) ),
    inference(cnf_transformation,[],[f96]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13  % Problem    : KRS117+1 : TPTP v8.1.2. Released v3.1.0.
% 0.03/0.14  % 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
% 0.14/0.36  % Computer : n019.cluster.edu
% 0.14/0.36  % Model    : x86_64 x86_64
% 0.14/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36  % Memory   : 8042.1875MB
% 0.14/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36  % CPULimit   : 300
% 0.14/0.36  % WCLimit    : 300
% 0.14/0.36  % DateTime   : Fri May  3 19:50:38 EDT 2024
% 0.14/0.36  % CPUTime    : 
% 0.14/0.36  This is a FOF_UNS_RFO_SEQ problem
% 0.14/0.36  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.9adNUJvF0z/Vampire---4.8_26309
% 0.57/0.75  % (26419)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)
% 0.57/0.75  % (26423)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)
% 0.57/0.75  % (26424)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)
% 0.57/0.75  % (26421)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.57/0.75  % (26422)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)
% 0.57/0.75  % (26425)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)
% 0.57/0.75  % (26426)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)
% 0.57/0.75  % (26420)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)
% 0.57/0.75  % (26419)Refutation not found, incomplete strategy% (26419)------------------------------
% 0.57/0.75  % (26419)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.57/0.75  % (26419)Termination reason: Refutation not found, incomplete strategy
% 0.57/0.75  
% 0.57/0.75  % (26421)Refutation not found, incomplete strategy% (26421)------------------------------
% 0.57/0.75  % (26421)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.57/0.75  % (26419)Memory used [KB]: 949
% 0.57/0.75  % (26419)Time elapsed: 0.002 s
% 0.57/0.75  % (26419)Instructions burned: 2 (million)
% 0.57/0.75  % (26424)Refutation not found, incomplete strategy% (26424)------------------------------
% 0.57/0.75  % (26424)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.57/0.75  % (26424)Termination reason: Refutation not found, incomplete strategy
% 0.57/0.75  
% 0.57/0.75  % (26424)Memory used [KB]: 949
% 0.57/0.75  % (26424)Time elapsed: 0.002 s
% 0.57/0.75  % (26424)Instructions burned: 2 (million)
% 0.57/0.75  % (26421)Termination reason: Refutation not found, incomplete strategy
% 0.57/0.75  
% 0.57/0.75  % (26426)Refutation not found, incomplete strategy% (26426)------------------------------
% 0.57/0.75  % (26426)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.57/0.75  % (26421)Memory used [KB]: 949
% 0.57/0.75  % (26422)Refutation not found, incomplete strategy% (26422)------------------------------
% 0.57/0.75  % (26422)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.57/0.75  % (26421)Time elapsed: 0.002 s
% 0.57/0.75  % (26422)Termination reason: Refutation not found, incomplete strategy
% 0.57/0.75  
% 0.57/0.75  % (26421)Instructions burned: 2 (million)
% 0.57/0.75  % (26422)Memory used [KB]: 949
% 0.57/0.75  % (26422)Time elapsed: 0.002 s
% 0.57/0.75  % (26422)Instructions burned: 2 (million)
% 0.57/0.75  % (26426)Termination reason: Refutation not found, incomplete strategy
% 0.57/0.75  
% 0.57/0.75  % (26426)Memory used [KB]: 949
% 0.57/0.75  % (26426)Time elapsed: 0.002 s
% 0.57/0.75  % (26425)Refutation not found, incomplete strategy% (26425)------------------------------
% 0.57/0.75  % (26425)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.57/0.75  % (26425)Termination reason: Refutation not found, incomplete strategy
% 0.57/0.75  
% 0.57/0.75  % (26425)Memory used [KB]: 949
% 0.57/0.75  % (26425)Time elapsed: 0.002 s
% 0.57/0.75  % (26425)Instructions burned: 2 (million)
% 0.57/0.75  % (26426)Instructions burned: 2 (million)
% 0.57/0.75  % (26419)------------------------------
% 0.57/0.75  % (26419)------------------------------
% 0.57/0.75  % (26424)------------------------------
% 0.57/0.75  % (26424)------------------------------
% 0.57/0.75  % (26421)------------------------------
% 0.57/0.75  % (26421)------------------------------
% 0.57/0.75  % (26422)------------------------------
% 0.57/0.75  % (26422)------------------------------
% 0.57/0.75  % (26425)------------------------------
% 0.57/0.75  % (26425)------------------------------
% 0.57/0.75  % (26426)------------------------------
% 0.57/0.75  % (26426)------------------------------
% 0.57/0.75  % (26423)Refutation not found, incomplete strategy% (26423)------------------------------
% 0.57/0.75  % (26423)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.57/0.75  % (26423)Termination reason: Refutation not found, incomplete strategy
% 0.57/0.75  
% 0.57/0.75  % (26423)Memory used [KB]: 1035
% 0.57/0.75  % (26423)Time elapsed: 0.003 s
% 0.57/0.75  % (26423)Instructions burned: 3 (million)
% 0.57/0.75  % (26423)------------------------------
% 0.57/0.75  % (26423)------------------------------
% 0.57/0.75  % (26432)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 Vampire---4 for (2996ds/42Mi)
% 0.57/0.76  % (26427)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 (2996ds/55Mi)
% 0.57/0.76  % (26429)lrs+1010_1:2_sil=4000:tgt=ground:nwc=10.0:st=2.0:i=208:sd=1:bd=off:ss=axioms_0 on Vampire---4 for (2996ds/208Mi)
% 0.57/0.76  % (26430)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 Vampire---4 for (2996ds/52Mi)
% 0.57/0.76  % (26431)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 Vampire---4 for (2996ds/518Mi)
% 0.57/0.76  % (26428)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 Vampire---4 for (2996ds/50Mi)
% 0.57/0.76  % (26429)Refutation not found, incomplete strategy% (26429)------------------------------
% 0.57/0.76  % (26429)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.57/0.76  % (26431)Refutation not found, incomplete strategy% (26431)------------------------------
% 0.57/0.76  % (26431)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.57/0.76  % (26431)Termination reason: Refutation not found, incomplete strategy
% 0.57/0.76  
% 0.57/0.76  % (26431)Memory used [KB]: 949
% 0.57/0.76  % (26431)Time elapsed: 0.002 s
% 0.57/0.76  % (26431)Instructions burned: 2 (million)
% 0.57/0.76  % (26429)Termination reason: Refutation not found, incomplete strategy
% 0.57/0.76  % (26430)Refutation not found, incomplete strategy% (26430)------------------------------
% 0.57/0.76  % (26430)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.57/0.76  
% 0.57/0.76  % (26429)Memory used [KB]: 949
% 0.57/0.76  % (26429)Time elapsed: 0.002 s
% 0.57/0.76  % (26429)Instructions burned: 2 (million)
% 0.57/0.76  % (26430)Termination reason: Refutation not found, incomplete strategy
% 0.57/0.76  
% 0.57/0.76  % (26430)Memory used [KB]: 949
% 0.57/0.76  % (26430)Time elapsed: 0.002 s
% 0.57/0.76  % (26430)Instructions burned: 2 (million)
% 0.57/0.76  % (26431)------------------------------
% 0.57/0.76  % (26431)------------------------------
% 0.57/0.76  % (26429)------------------------------
% 0.57/0.76  % (26429)------------------------------
% 0.57/0.76  % (26432)Refutation not found, incomplete strategy% (26432)------------------------------
% 0.57/0.76  % (26432)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.57/0.76  % (26432)Termination reason: Refutation not found, incomplete strategy
% 0.57/0.76  
% 0.57/0.76  % (26432)Memory used [KB]: 1038
% 0.57/0.76  % (26432)Time elapsed: 0.002 s
% 0.57/0.76  % (26430)------------------------------
% 0.57/0.76  % (26430)------------------------------
% 0.57/0.76  % (26432)Instructions burned: 3 (million)
% 0.57/0.76  % (26432)------------------------------
% 0.57/0.76  % (26432)------------------------------
% 0.57/0.76  % (26428)Refutation not found, incomplete strategy% (26428)------------------------------
% 0.57/0.76  % (26428)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.57/0.76  % (26428)Termination reason: Refutation not found, incomplete strategy
% 0.57/0.76  
% 0.57/0.76  % (26428)Memory used [KB]: 1038
% 0.57/0.76  % (26428)Time elapsed: 0.003 s
% 0.57/0.76  % (26428)Instructions burned: 3 (million)
% 0.57/0.76  % (26433)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 Vampire---4 for (2996ds/243Mi)
% 0.57/0.76  % (26428)------------------------------
% 0.57/0.76  % (26428)------------------------------
% 0.57/0.76  % (26420)First to succeed.
% 0.57/0.76  % (26433)Refutation not found, incomplete strategy% (26433)------------------------------
% 0.57/0.76  % (26433)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.57/0.76  % (26433)Termination reason: Refutation not found, incomplete strategy
% 0.57/0.76  
% 0.57/0.76  % (26433)Memory used [KB]: 950
% 0.57/0.76  % (26433)Time elapsed: 0.002 s
% 0.57/0.76  % (26433)Instructions burned: 2 (million)
% 0.57/0.76  % (26433)------------------------------
% 0.57/0.76  % (26433)------------------------------
% 0.57/0.76  % (26427)Also succeeded, but the first one will report.
% 0.57/0.76  % (26436)lrs+1011_1:2_to=lpo:sil=8000:plsqc=1:plsq=on:plsqr=326,59:sp=weighted_frequency:plsql=on:nwc=10.0:newcnf=on:i=93:awrs=converge:awrsf=200:bd=off:ins=1:rawr=on:alpa=false:avsq=on:avsqr=1,16_0 on Vampire---4 for (2996ds/93Mi)
% 0.57/0.76  % (26420)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-26418"
% 0.57/0.76  % (26434)lrs+1011_2:9_sil=2000:lsd=10:newcnf=on:i=117:sd=2:awrs=decay:ss=included:amm=off:ep=R_0 on Vampire---4 for (2996ds/117Mi)
% 0.57/0.76  % (26435)dis+1011_11:1_sil=2000:avsq=on:i=143:avsqr=1,16:ep=RS:rawr=on:aac=none:lsd=100:mep=off:fde=none:newcnf=on:bsr=unit_only_0 on Vampire---4 for (2996ds/143Mi)
% 0.57/0.76  % (26420)Refutation found. Thanks to Tanya!
% 0.57/0.76  % SZS status Unsatisfiable for Vampire---4
% 0.57/0.76  % SZS output start Proof for Vampire---4
% See solution above
% 0.57/0.76  % (26420)------------------------------
% 0.57/0.76  % (26420)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.57/0.76  % (26420)Termination reason: Refutation
% 0.57/0.76  
% 0.57/0.76  % (26420)Memory used [KB]: 1182
% 0.57/0.76  % (26420)Time elapsed: 0.009 s
% 0.57/0.76  % (26420)Instructions burned: 12 (million)
% 0.57/0.76  % (26418)Success in time 0.381 s
% 0.57/0.76  % Vampire---4.8 exiting
%------------------------------------------------------------------------------