TSTP Solution File: SWW295+1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : SWW295+1 : TPTP v8.1.2. Released v5.2.0.
% 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 : n029.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 : Wed May  1 04:18:01 EDT 2024

% Result   : Theorem 1.20s 1.10s
% Output   : Refutation 1.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :   15
% Syntax   : Number of formulae    :   63 (   1 unt;   0 def)
%            Number of atoms       :  209 (   0 equ)
%            Maximal formula atoms :   12 (   3 avg)
%            Number of connectives :  232 (  86   ~;  86   |;  28   &)
%                                         (  13 <=>;  18  =>;   0  <=;   1 <~>)
%            Maximal formula depth :   13 (   5 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :   12 (  11 usr;   9 prp; 0-4 aty)
%            Number of functors    :   14 (  14 usr;  11 con; 0-2 aty)
%            Number of variables   :  117 (  95   !;  22   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f7540,plain,
    $false,
    inference(avatar_sat_refutation,[],[f7444,f7449,f7454,f7459,f7460,f7461,f7466,f7467,f7468,f7475,f7508,f7525,f7539]) ).

fof(f7539,plain,
    ( spl53_1
    | ~ spl53_3
    | ~ spl53_4
    | ~ spl53_8 ),
    inference(avatar_contradiction_clause,[],[f7535]) ).

fof(f7535,plain,
    ( $false
    | spl53_1
    | ~ spl53_3
    | ~ spl53_4
    | ~ spl53_8 ),
    inference(unit_resulting_resolution,[],[f7439,f7453,f7528,f7474]) ).

fof(f7474,plain,
    ( ! [X8,X6,X7] :
        ( ~ c_Natural_Oevaln(c_Com_Ocom_OBODY(v_pn),X7,hAPP(c_Nat_OSuc,v_n),X8)
        | ~ v_P(X6,X7)
        | v_Q(X6,X8) )
    | ~ spl53_8 ),
    inference(avatar_component_clause,[],[f7473]) ).

fof(f7473,plain,
    ( spl53_8
  <=> ! [X6,X8,X7] :
        ( v_Q(X6,X8)
        | ~ v_P(X6,X7)
        | ~ c_Natural_Oevaln(c_Com_Ocom_OBODY(v_pn),X7,hAPP(c_Nat_OSuc,v_n),X8) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl53_8])]) ).

fof(f7528,plain,
    ( c_Natural_Oevaln(c_Com_Ocom_OBODY(v_pn),sK4,hAPP(c_Nat_OSuc,v_n),sK5)
    | ~ spl53_3 ),
    inference(resolution,[],[f7448,f6502]) ).

fof(f6502,plain,
    ! [X2,X3,X0,X1] :
      ( ~ c_Natural_Oevaln(hAPP(c_Option_Othe(tc_Com_Ocom),hAPP(c_Com_Obody,X3)),X2,X1,X0)
      | c_Natural_Oevaln(c_Com_Ocom_OBODY(X3),X2,hAPP(c_Nat_OSuc,X1),X0) ),
    inference(cnf_transformation,[],[f5804]) ).

fof(f5804,plain,
    ! [X0,X1,X2,X3] :
      ( c_Natural_Oevaln(c_Com_Ocom_OBODY(X3),X2,hAPP(c_Nat_OSuc,X1),X0)
      | ~ c_Natural_Oevaln(hAPP(c_Option_Othe(tc_Com_Ocom),hAPP(c_Com_Obody,X3)),X2,X1,X0) ),
    inference(ennf_transformation,[],[f5238]) ).

fof(f5238,plain,
    ! [X0,X1,X2,X3] :
      ( c_Natural_Oevaln(hAPP(c_Option_Othe(tc_Com_Ocom),hAPP(c_Com_Obody,X3)),X2,X1,X0)
     => c_Natural_Oevaln(c_Com_Ocom_OBODY(X3),X2,hAPP(c_Nat_OSuc,X1),X0) ),
    inference(rectify,[],[f2]) ).

fof(f2,axiom,
    ! [X3,X4,X5,X6] :
      ( c_Natural_Oevaln(hAPP(c_Option_Othe(tc_Com_Ocom),hAPP(c_Com_Obody,X6)),X5,X4,X3)
     => c_Natural_Oevaln(c_Com_Ocom_OBODY(X6),X5,hAPP(c_Nat_OSuc,X4),X3) ),
    file('/export/starexec/sandbox/tmp/tmp.TkhrN4W3K8/Vampire---4.8_18329',fact_evaln_OBody) ).

fof(f7448,plain,
    ( c_Natural_Oevaln(hAPP(c_Option_Othe(tc_Com_Ocom),hAPP(c_Com_Obody,v_pn)),sK4,v_n,sK5)
    | ~ spl53_3 ),
    inference(avatar_component_clause,[],[f7446]) ).

fof(f7446,plain,
    ( spl53_3
  <=> c_Natural_Oevaln(hAPP(c_Option_Othe(tc_Com_Ocom),hAPP(c_Com_Obody,v_pn)),sK4,v_n,sK5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl53_3])]) ).

fof(f7453,plain,
    ( v_P(sK3,sK4)
    | ~ spl53_4 ),
    inference(avatar_component_clause,[],[f7451]) ).

fof(f7451,plain,
    ( spl53_4
  <=> v_P(sK3,sK4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl53_4])]) ).

fof(f7439,plain,
    ( ~ v_Q(sK3,sK5)
    | spl53_1 ),
    inference(avatar_component_clause,[],[f7437]) ).

fof(f7437,plain,
    ( spl53_1
  <=> v_Q(sK3,sK5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl53_1])]) ).

fof(f7525,plain,
    ( spl53_2
    | ~ spl53_5
    | ~ spl53_6
    | ~ spl53_8 ),
    inference(avatar_contradiction_clause,[],[f7513]) ).

fof(f7513,plain,
    ( $false
    | spl53_2
    | ~ spl53_5
    | ~ spl53_6
    | ~ spl53_8 ),
    inference(unit_resulting_resolution,[],[f7443,f7465,f7458,f7474]) ).

fof(f7458,plain,
    ( c_Natural_Oevaln(c_Com_Ocom_OBODY(v_pn),sK1,hAPP(c_Nat_OSuc,v_n),sK2)
    | ~ spl53_5 ),
    inference(avatar_component_clause,[],[f7456]) ).

fof(f7456,plain,
    ( spl53_5
  <=> c_Natural_Oevaln(c_Com_Ocom_OBODY(v_pn),sK1,hAPP(c_Nat_OSuc,v_n),sK2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl53_5])]) ).

fof(f7465,plain,
    ( v_P(sK0,sK1)
    | ~ spl53_6 ),
    inference(avatar_component_clause,[],[f7463]) ).

fof(f7463,plain,
    ( spl53_6
  <=> v_P(sK0,sK1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl53_6])]) ).

fof(f7443,plain,
    ( ~ v_Q(sK0,sK2)
    | spl53_2 ),
    inference(avatar_component_clause,[],[f7441]) ).

fof(f7441,plain,
    ( spl53_2
  <=> v_Q(sK0,sK2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl53_2])]) ).

fof(f7508,plain,
    ( spl53_8
    | ~ spl53_7 ),
    inference(avatar_split_clause,[],[f7497,f7470,f7473]) ).

fof(f7470,plain,
    ( spl53_7
  <=> ! [X9,X11,X10] :
        ( v_Q(X9,X11)
        | ~ v_P(X9,X10)
        | ~ c_Natural_Oevaln(hAPP(c_Option_Othe(tc_Com_Ocom),hAPP(c_Com_Obody,v_pn)),X10,v_n,X11) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl53_7])]) ).

fof(f7497,plain,
    ( ! [X2,X0,X1] :
        ( ~ v_P(X0,X1)
        | v_Q(X0,X2)
        | ~ c_Natural_Oevaln(c_Com_Ocom_OBODY(v_pn),X1,hAPP(c_Nat_OSuc,v_n),X2) )
    | ~ spl53_7 ),
    inference(resolution,[],[f7471,f6500]) ).

fof(f6500,plain,
    ! [X2,X3,X0,X1] :
      ( c_Natural_Oevaln(hAPP(c_Option_Othe(tc_Com_Ocom),hAPP(c_Com_Obody,X3)),X2,X1,X0)
      | ~ c_Natural_Oevaln(c_Com_Ocom_OBODY(X3),X2,hAPP(c_Nat_OSuc,X1),X0) ),
    inference(cnf_transformation,[],[f6150]) ).

fof(f6150,plain,
    ! [X0,X1,X2,X3] :
      ( ( c_Natural_Oevaln(c_Com_Ocom_OBODY(X3),X2,hAPP(c_Nat_OSuc,X1),X0)
        | ~ c_Natural_Oevaln(hAPP(c_Option_Othe(tc_Com_Ocom),hAPP(c_Com_Obody,X3)),X2,X1,X0) )
      & ( c_Natural_Oevaln(hAPP(c_Option_Othe(tc_Com_Ocom),hAPP(c_Com_Obody,X3)),X2,X1,X0)
        | ~ c_Natural_Oevaln(c_Com_Ocom_OBODY(X3),X2,hAPP(c_Nat_OSuc,X1),X0) ) ),
    inference(nnf_transformation,[],[f5237]) ).

fof(f5237,plain,
    ! [X0,X1,X2,X3] :
      ( c_Natural_Oevaln(c_Com_Ocom_OBODY(X3),X2,hAPP(c_Nat_OSuc,X1),X0)
    <=> c_Natural_Oevaln(hAPP(c_Option_Othe(tc_Com_Ocom),hAPP(c_Com_Obody,X3)),X2,X1,X0) ),
    inference(rectify,[],[f3]) ).

fof(f3,axiom,
    ! [X7,X8,X9,X10] :
      ( c_Natural_Oevaln(c_Com_Ocom_OBODY(X10),X9,hAPP(c_Nat_OSuc,X8),X7)
    <=> c_Natural_Oevaln(hAPP(c_Option_Othe(tc_Com_Ocom),hAPP(c_Com_Obody,X10)),X9,X8,X7) ),
    file('/export/starexec/sandbox/tmp/tmp.TkhrN4W3K8/Vampire---4.8_18329',fact_evaln_Oequations_I9_J) ).

fof(f7471,plain,
    ( ! [X10,X11,X9] :
        ( ~ c_Natural_Oevaln(hAPP(c_Option_Othe(tc_Com_Ocom),hAPP(c_Com_Obody,v_pn)),X10,v_n,X11)
        | ~ v_P(X9,X10)
        | v_Q(X9,X11) )
    | ~ spl53_7 ),
    inference(avatar_component_clause,[],[f7470]) ).

fof(f7475,plain,
    ( spl53_7
    | spl53_8 ),
    inference(avatar_split_clause,[],[f6427,f7473,f7470]) ).

fof(f6427,plain,
    ! [X10,X11,X8,X6,X9,X7] :
      ( v_Q(X6,X8)
      | ~ c_Natural_Oevaln(c_Com_Ocom_OBODY(v_pn),X7,hAPP(c_Nat_OSuc,v_n),X8)
      | ~ v_P(X6,X7)
      | v_Q(X9,X11)
      | ~ c_Natural_Oevaln(hAPP(c_Option_Othe(tc_Com_Ocom),hAPP(c_Com_Obody,v_pn)),X10,v_n,X11)
      | ~ v_P(X9,X10) ),
    inference(cnf_transformation,[],[f6124]) ).

fof(f6124,plain,
    ( ( ( ~ v_Q(sK0,sK2)
        & c_Natural_Oevaln(c_Com_Ocom_OBODY(v_pn),sK1,hAPP(c_Nat_OSuc,v_n),sK2)
        & v_P(sK0,sK1) )
      | ( ~ v_Q(sK3,sK5)
        & c_Natural_Oevaln(hAPP(c_Option_Othe(tc_Com_Ocom),hAPP(c_Com_Obody,v_pn)),sK4,v_n,sK5)
        & v_P(sK3,sK4) ) )
    & ( ! [X6,X7] :
          ( ! [X8] :
              ( v_Q(X6,X8)
              | ~ c_Natural_Oevaln(c_Com_Ocom_OBODY(v_pn),X7,hAPP(c_Nat_OSuc,v_n),X8) )
          | ~ v_P(X6,X7) )
      | ! [X9,X10] :
          ( ! [X11] :
              ( v_Q(X9,X11)
              | ~ c_Natural_Oevaln(hAPP(c_Option_Othe(tc_Com_Ocom),hAPP(c_Com_Obody,v_pn)),X10,v_n,X11) )
          | ~ v_P(X9,X10) ) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3,sK4,sK5])],[f6119,f6123,f6122,f6121,f6120]) ).

fof(f6120,plain,
    ( ? [X0,X1] :
        ( ? [X2] :
            ( ~ v_Q(X0,X2)
            & c_Natural_Oevaln(c_Com_Ocom_OBODY(v_pn),X1,hAPP(c_Nat_OSuc,v_n),X2) )
        & v_P(X0,X1) )
   => ( ? [X2] :
          ( ~ v_Q(sK0,X2)
          & c_Natural_Oevaln(c_Com_Ocom_OBODY(v_pn),sK1,hAPP(c_Nat_OSuc,v_n),X2) )
      & v_P(sK0,sK1) ) ),
    introduced(choice_axiom,[]) ).

fof(f6121,plain,
    ( ? [X2] :
        ( ~ v_Q(sK0,X2)
        & c_Natural_Oevaln(c_Com_Ocom_OBODY(v_pn),sK1,hAPP(c_Nat_OSuc,v_n),X2) )
   => ( ~ v_Q(sK0,sK2)
      & c_Natural_Oevaln(c_Com_Ocom_OBODY(v_pn),sK1,hAPP(c_Nat_OSuc,v_n),sK2) ) ),
    introduced(choice_axiom,[]) ).

fof(f6122,plain,
    ( ? [X3,X4] :
        ( ? [X5] :
            ( ~ v_Q(X3,X5)
            & c_Natural_Oevaln(hAPP(c_Option_Othe(tc_Com_Ocom),hAPP(c_Com_Obody,v_pn)),X4,v_n,X5) )
        & v_P(X3,X4) )
   => ( ? [X5] :
          ( ~ v_Q(sK3,X5)
          & c_Natural_Oevaln(hAPP(c_Option_Othe(tc_Com_Ocom),hAPP(c_Com_Obody,v_pn)),sK4,v_n,X5) )
      & v_P(sK3,sK4) ) ),
    introduced(choice_axiom,[]) ).

fof(f6123,plain,
    ( ? [X5] :
        ( ~ v_Q(sK3,X5)
        & c_Natural_Oevaln(hAPP(c_Option_Othe(tc_Com_Ocom),hAPP(c_Com_Obody,v_pn)),sK4,v_n,X5) )
   => ( ~ v_Q(sK3,sK5)
      & c_Natural_Oevaln(hAPP(c_Option_Othe(tc_Com_Ocom),hAPP(c_Com_Obody,v_pn)),sK4,v_n,sK5) ) ),
    introduced(choice_axiom,[]) ).

fof(f6119,plain,
    ( ( ? [X0,X1] :
          ( ? [X2] :
              ( ~ v_Q(X0,X2)
              & c_Natural_Oevaln(c_Com_Ocom_OBODY(v_pn),X1,hAPP(c_Nat_OSuc,v_n),X2) )
          & v_P(X0,X1) )
      | ? [X3,X4] :
          ( ? [X5] :
              ( ~ v_Q(X3,X5)
              & c_Natural_Oevaln(hAPP(c_Option_Othe(tc_Com_Ocom),hAPP(c_Com_Obody,v_pn)),X4,v_n,X5) )
          & v_P(X3,X4) ) )
    & ( ! [X6,X7] :
          ( ! [X8] :
              ( v_Q(X6,X8)
              | ~ c_Natural_Oevaln(c_Com_Ocom_OBODY(v_pn),X7,hAPP(c_Nat_OSuc,v_n),X8) )
          | ~ v_P(X6,X7) )
      | ! [X9,X10] :
          ( ! [X11] :
              ( v_Q(X9,X11)
              | ~ c_Natural_Oevaln(hAPP(c_Option_Othe(tc_Com_Ocom),hAPP(c_Com_Obody,v_pn)),X10,v_n,X11) )
          | ~ v_P(X9,X10) ) ) ),
    inference(rectify,[],[f6118]) ).

fof(f6118,plain,
    ( ( ? [X3,X4] :
          ( ? [X5] :
              ( ~ v_Q(X3,X5)
              & c_Natural_Oevaln(c_Com_Ocom_OBODY(v_pn),X4,hAPP(c_Nat_OSuc,v_n),X5) )
          & v_P(X3,X4) )
      | ? [X0,X1] :
          ( ? [X2] :
              ( ~ v_Q(X0,X2)
              & c_Natural_Oevaln(hAPP(c_Option_Othe(tc_Com_Ocom),hAPP(c_Com_Obody,v_pn)),X1,v_n,X2) )
          & v_P(X0,X1) ) )
    & ( ! [X3,X4] :
          ( ! [X5] :
              ( v_Q(X3,X5)
              | ~ c_Natural_Oevaln(c_Com_Ocom_OBODY(v_pn),X4,hAPP(c_Nat_OSuc,v_n),X5) )
          | ~ v_P(X3,X4) )
      | ! [X0,X1] :
          ( ! [X2] :
              ( v_Q(X0,X2)
              | ~ c_Natural_Oevaln(hAPP(c_Option_Othe(tc_Com_Ocom),hAPP(c_Com_Obody,v_pn)),X1,v_n,X2) )
          | ~ v_P(X0,X1) ) ) ),
    inference(nnf_transformation,[],[f5781]) ).

fof(f5781,plain,
    ( ! [X0,X1] :
        ( ! [X2] :
            ( v_Q(X0,X2)
            | ~ c_Natural_Oevaln(hAPP(c_Option_Othe(tc_Com_Ocom),hAPP(c_Com_Obody,v_pn)),X1,v_n,X2) )
        | ~ v_P(X0,X1) )
  <~> ! [X3,X4] :
        ( ! [X5] :
            ( v_Q(X3,X5)
            | ~ c_Natural_Oevaln(c_Com_Ocom_OBODY(v_pn),X4,hAPP(c_Nat_OSuc,v_n),X5) )
        | ~ v_P(X3,X4) ) ),
    inference(ennf_transformation,[],[f5207]) ).

fof(f5207,plain,
    ~ ( ! [X0,X1] :
          ( v_P(X0,X1)
         => ! [X2] :
              ( c_Natural_Oevaln(hAPP(c_Option_Othe(tc_Com_Ocom),hAPP(c_Com_Obody,v_pn)),X1,v_n,X2)
             => v_Q(X0,X2) ) )
    <=> ! [X3,X4] :
          ( v_P(X3,X4)
         => ! [X5] :
              ( c_Natural_Oevaln(c_Com_Ocom_OBODY(v_pn),X4,hAPP(c_Nat_OSuc,v_n),X5)
             => v_Q(X3,X5) ) ) ),
    inference(rectify,[],[f5206]) ).

fof(f5206,negated_conjecture,
    ~ ( ! [X318,X319] :
          ( v_P(X318,X319)
         => ! [X320] :
              ( c_Natural_Oevaln(hAPP(c_Option_Othe(tc_Com_Ocom),hAPP(c_Com_Obody,v_pn)),X319,v_n,X320)
             => v_Q(X318,X320) ) )
    <=> ! [X318,X319] :
          ( v_P(X318,X319)
         => ! [X320] :
              ( c_Natural_Oevaln(c_Com_Ocom_OBODY(v_pn),X319,hAPP(c_Nat_OSuc,v_n),X320)
             => v_Q(X318,X320) ) ) ),
    inference(negated_conjecture,[],[f5205]) ).

fof(f5205,conjecture,
    ( ! [X318,X319] :
        ( v_P(X318,X319)
       => ! [X320] :
            ( c_Natural_Oevaln(hAPP(c_Option_Othe(tc_Com_Ocom),hAPP(c_Com_Obody,v_pn)),X319,v_n,X320)
           => v_Q(X318,X320) ) )
  <=> ! [X318,X319] :
        ( v_P(X318,X319)
       => ! [X320] :
            ( c_Natural_Oevaln(c_Com_Ocom_OBODY(v_pn),X319,hAPP(c_Nat_OSuc,v_n),X320)
           => v_Q(X318,X320) ) ) ),
    file('/export/starexec/sandbox/tmp/tmp.TkhrN4W3K8/Vampire---4.8_18329',conj_0) ).

fof(f7468,plain,
    ( spl53_4
    | spl53_6 ),
    inference(avatar_split_clause,[],[f6428,f7463,f7451]) ).

fof(f6428,plain,
    ( v_P(sK0,sK1)
    | v_P(sK3,sK4) ),
    inference(cnf_transformation,[],[f6124]) ).

fof(f7467,plain,
    ( spl53_3
    | spl53_6 ),
    inference(avatar_split_clause,[],[f6429,f7463,f7446]) ).

fof(f6429,plain,
    ( v_P(sK0,sK1)
    | c_Natural_Oevaln(hAPP(c_Option_Othe(tc_Com_Ocom),hAPP(c_Com_Obody,v_pn)),sK4,v_n,sK5) ),
    inference(cnf_transformation,[],[f6124]) ).

fof(f7466,plain,
    ( ~ spl53_1
    | spl53_6 ),
    inference(avatar_split_clause,[],[f6430,f7463,f7437]) ).

fof(f6430,plain,
    ( v_P(sK0,sK1)
    | ~ v_Q(sK3,sK5) ),
    inference(cnf_transformation,[],[f6124]) ).

fof(f7461,plain,
    ( spl53_4
    | spl53_5 ),
    inference(avatar_split_clause,[],[f6431,f7456,f7451]) ).

fof(f6431,plain,
    ( c_Natural_Oevaln(c_Com_Ocom_OBODY(v_pn),sK1,hAPP(c_Nat_OSuc,v_n),sK2)
    | v_P(sK3,sK4) ),
    inference(cnf_transformation,[],[f6124]) ).

fof(f7460,plain,
    ( spl53_3
    | spl53_5 ),
    inference(avatar_split_clause,[],[f6432,f7456,f7446]) ).

fof(f6432,plain,
    ( c_Natural_Oevaln(c_Com_Ocom_OBODY(v_pn),sK1,hAPP(c_Nat_OSuc,v_n),sK2)
    | c_Natural_Oevaln(hAPP(c_Option_Othe(tc_Com_Ocom),hAPP(c_Com_Obody,v_pn)),sK4,v_n,sK5) ),
    inference(cnf_transformation,[],[f6124]) ).

fof(f7459,plain,
    ( ~ spl53_1
    | spl53_5 ),
    inference(avatar_split_clause,[],[f6433,f7456,f7437]) ).

fof(f6433,plain,
    ( c_Natural_Oevaln(c_Com_Ocom_OBODY(v_pn),sK1,hAPP(c_Nat_OSuc,v_n),sK2)
    | ~ v_Q(sK3,sK5) ),
    inference(cnf_transformation,[],[f6124]) ).

fof(f7454,plain,
    ( spl53_4
    | ~ spl53_2 ),
    inference(avatar_split_clause,[],[f6434,f7441,f7451]) ).

fof(f6434,plain,
    ( ~ v_Q(sK0,sK2)
    | v_P(sK3,sK4) ),
    inference(cnf_transformation,[],[f6124]) ).

fof(f7449,plain,
    ( spl53_3
    | ~ spl53_2 ),
    inference(avatar_split_clause,[],[f6435,f7441,f7446]) ).

fof(f6435,plain,
    ( ~ v_Q(sK0,sK2)
    | c_Natural_Oevaln(hAPP(c_Option_Othe(tc_Com_Ocom),hAPP(c_Com_Obody,v_pn)),sK4,v_n,sK5) ),
    inference(cnf_transformation,[],[f6124]) ).

fof(f7444,plain,
    ( ~ spl53_1
    | ~ spl53_2 ),
    inference(avatar_split_clause,[],[f6436,f7441,f7437]) ).

fof(f6436,plain,
    ( ~ v_Q(sK0,sK2)
    | ~ v_Q(sK3,sK5) ),
    inference(cnf_transformation,[],[f6124]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.14  % Problem    : SWW295+1 : TPTP v8.1.2. Released v5.2.0.
% 0.07/0.16  % 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
% 0.17/0.37  % Computer : n029.cluster.edu
% 0.17/0.37  % Model    : x86_64 x86_64
% 0.17/0.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.37  % Memory   : 8042.1875MB
% 0.17/0.37  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.17/0.37  % CPULimit   : 300
% 0.17/0.37  % WCLimit    : 300
% 0.17/0.37  % DateTime   : Tue Apr 30 18:19:05 EDT 2024
% 0.17/0.37  % CPUTime    : 
% 0.17/0.37  This is a FOF_CAX_RFO_SEQ problem
% 0.17/0.37  Running vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t 300 /export/starexec/sandbox/tmp/tmp.TkhrN4W3K8/Vampire---4.8_18329
% 0.79/1.02  % (18630)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on Vampire---4 for (2993ds/45Mi)
% 0.79/1.02  % (18625)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 (2993ds/34Mi)
% 0.79/1.02  % (18626)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 (2993ds/51Mi)
% 0.79/1.02  % (18628)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on Vampire---4 for (2993ds/33Mi)
% 0.79/1.02  % (18629)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 (2993ds/34Mi)
% 0.79/1.02  % (18631)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 (2993ds/83Mi)
% 0.79/1.02  % (18632)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 (2993ds/56Mi)
% 0.87/1.03  % (18627)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2993ds/78Mi)
% 0.87/1.04  % (18630)Instruction limit reached!
% 0.87/1.04  % (18630)------------------------------
% 0.87/1.04  % (18630)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.87/1.04  % (18630)Termination reason: Unknown
% 0.87/1.04  % (18630)Termination phase: Preprocessing 1
% 0.87/1.04  
% 0.87/1.04  % (18630)Memory used [KB]: 6235
% 0.87/1.04  % (18630)Time elapsed: 0.017 s
% 0.87/1.04  % (18630)Instructions burned: 46 (million)
% 0.87/1.04  % (18630)------------------------------
% 0.87/1.04  % (18630)------------------------------
% 0.87/1.04  % (18641)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 (2993ds/55Mi)
% 0.87/1.04  % (18625)Instruction limit reached!
% 0.87/1.04  % (18625)------------------------------
% 0.87/1.04  % (18625)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.87/1.04  % (18625)Termination reason: Unknown
% 0.87/1.04  % (18625)Termination phase: SInE selection
% 0.87/1.04  
% 0.87/1.04  % (18625)Memory used [KB]: 6081
% 0.87/1.04  % (18625)Time elapsed: 0.020 s
% 0.87/1.04  % (18625)Instructions burned: 34 (million)
% 0.87/1.04  % (18625)------------------------------
% 0.87/1.04  % (18625)------------------------------
% 0.87/1.04  % (18628)Instruction limit reached!
% 0.87/1.04  % (18628)------------------------------
% 0.87/1.04  % (18628)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.87/1.04  % (18628)Termination reason: Unknown
% 0.87/1.04  % (18628)Termination phase: SInE selection
% 0.87/1.04  
% 0.87/1.04  % (18628)Memory used [KB]: 6081
% 0.87/1.04  % (18629)Instruction limit reached!
% 0.87/1.04  % (18629)------------------------------
% 0.87/1.04  % (18629)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.87/1.04  % (18629)Termination reason: Unknown
% 0.87/1.04  % (18629)Termination phase: SInE selection
% 0.87/1.04  
% 0.87/1.04  % (18629)Memory used [KB]: 6081
% 0.87/1.04  % (18629)Time elapsed: 0.021 s
% 0.87/1.04  % (18629)Instructions burned: 34 (million)
% 0.87/1.04  % (18629)------------------------------
% 0.87/1.04  % (18629)------------------------------
% 0.87/1.04  % (18628)Time elapsed: 0.021 s
% 0.87/1.04  % (18628)Instructions burned: 34 (million)
% 0.87/1.04  % (18628)------------------------------
% 0.87/1.04  % (18628)------------------------------
% 0.87/1.04  % (18643)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 (2993ds/50Mi)
% 0.87/1.04  % (18644)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 (2993ds/208Mi)
% 0.87/1.05  % (18645)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 (2993ds/52Mi)
% 0.87/1.05  % (18631)Instruction limit reached!
% 0.87/1.05  % (18631)------------------------------
% 0.87/1.05  % (18631)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.87/1.05  % (18631)Termination reason: Unknown
% 0.87/1.05  % (18631)Termination phase: SInE selection
% 0.87/1.05  
% 0.87/1.05  % (18631)Memory used [KB]: 6098
% 0.87/1.05  % (18631)Time elapsed: 0.026 s
% 0.87/1.05  % (18631)Instructions burned: 85 (million)
% 0.87/1.05  % (18631)------------------------------
% 0.87/1.05  % (18631)------------------------------
% 0.87/1.05  % (18626)Instruction limit reached!
% 0.87/1.05  % (18626)------------------------------
% 0.87/1.05  % (18626)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.87/1.05  % (18626)Termination reason: Unknown
% 0.87/1.05  % (18626)Termination phase: SInE selection
% 0.87/1.05  
% 0.87/1.05  % (18626)Memory used [KB]: 6169
% 0.87/1.05  % (18626)Time elapsed: 0.029 s
% 0.87/1.05  % (18626)Instructions burned: 51 (million)
% 0.87/1.05  % (18626)------------------------------
% 0.87/1.05  % (18626)------------------------------
% 0.87/1.05  % (18649)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 (2993ds/518Mi)
% 0.87/1.05  % (18650)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 (2993ds/42Mi)
% 0.87/1.05  % (18632)Instruction limit reached!
% 0.87/1.05  % (18632)------------------------------
% 0.87/1.05  % (18632)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.87/1.05  % (18632)Termination reason: Unknown
% 0.87/1.05  % (18632)Termination phase: Property scanning
% 0.87/1.05  
% 0.87/1.05  % (18632)Memory used [KB]: 6760
% 0.87/1.05  % (18632)Time elapsed: 0.034 s
% 0.87/1.05  % (18632)Instructions burned: 56 (million)
% 0.87/1.05  % (18632)------------------------------
% 0.87/1.05  % (18632)------------------------------
% 0.87/1.06  % (18641)Instruction limit reached!
% 0.87/1.06  % (18641)------------------------------
% 0.87/1.06  % (18641)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.87/1.06  % (18641)Termination reason: Unknown
% 0.87/1.06  % (18641)Termination phase: Preprocessing 1
% 0.87/1.06  
% 0.87/1.06  % (18641)Memory used [KB]: 6814
% 0.87/1.06  % (18641)Time elapsed: 0.018 s
% 0.87/1.06  % (18641)Instructions burned: 57 (million)
% 0.87/1.06  % (18641)------------------------------
% 0.87/1.06  % (18641)------------------------------
% 0.87/1.06  % (18654)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 (2993ds/117Mi)
% 0.87/1.06  % (18652)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 (2993ds/243Mi)
% 0.87/1.07  % (18643)Instruction limit reached!
% 0.87/1.07  % (18643)------------------------------
% 0.87/1.07  % (18643)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.87/1.07  % (18643)Termination reason: Unknown
% 0.87/1.07  % (18643)Termination phase: SInE selection
% 0.87/1.07  
% 0.87/1.07  % (18643)Memory used [KB]: 6162
% 0.87/1.07  % (18643)Time elapsed: 0.028 s
% 0.87/1.07  % (18643)Instructions burned: 50 (million)
% 0.87/1.07  % (18643)------------------------------
% 0.87/1.07  % (18643)------------------------------
% 0.87/1.07  % (18627)Instruction limit reached!
% 0.87/1.07  % (18627)------------------------------
% 0.87/1.07  % (18627)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.87/1.07  % (18627)Termination reason: Unknown
% 0.87/1.07  % (18627)Termination phase: Unused predicate definition removal
% 0.87/1.07  
% 0.87/1.07  % (18627)Memory used [KB]: 7326
% 0.87/1.07  % (18627)Time elapsed: 0.045 s
% 0.87/1.07  % (18627)Instructions burned: 78 (million)
% 0.87/1.07  % (18627)------------------------------
% 0.87/1.07  % (18627)------------------------------
% 0.87/1.07  % (18650)Instruction limit reached!
% 0.87/1.07  % (18650)------------------------------
% 0.87/1.07  % (18650)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.87/1.07  % (18650)Termination reason: Unknown
% 0.87/1.07  % (18650)Termination phase: Preprocessing 1
% 0.87/1.07  
% 0.87/1.07  % (18650)Memory used [KB]: 7537
% 0.87/1.07  % (18650)Time elapsed: 0.023 s
% 0.87/1.07  % (18650)Instructions burned: 42 (million)
% 0.87/1.07  % (18650)------------------------------
% 0.87/1.07  % (18650)------------------------------
% 0.87/1.07  % (18659)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 (2993ds/143Mi)
% 0.87/1.08  % (18660)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 (2993ds/93Mi)
% 0.87/1.08  % (18645)Instruction limit reached!
% 0.87/1.08  % (18645)------------------------------
% 0.87/1.08  % (18645)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.87/1.08  % (18645)Termination reason: Unknown
% 0.87/1.08  % (18645)Termination phase: Preprocessing 1
% 0.87/1.08  
% 0.87/1.08  % (18645)Memory used [KB]: 6363
% 0.87/1.08  % (18645)Time elapsed: 0.033 s
% 0.87/1.08  % (18645)Instructions burned: 52 (million)
% 0.87/1.08  % (18645)------------------------------
% 0.87/1.08  % (18645)------------------------------
% 0.87/1.08  % (18664)lrs+1666_1:1_sil=4000:sp=occurrence:sos=on:urr=on:newcnf=on:i=62:amm=off:ep=R:erd=off:nm=0:plsq=on:plsqr=14,1_0 on Vampire---4 for (2993ds/62Mi)
% 0.87/1.08  % (18665)lrs+21_2461:262144_anc=none:drc=off:sil=2000:sp=occurrence:nwc=6.0:updr=off:st=3.0:i=32:sd=2:afp=4000:erml=3:nm=14:afq=2.0:uhcvi=on:ss=included:er=filter:abs=on:nicw=on:ile=on:sims=off:s2a=on:s2agt=50:s2at=-1.0:plsq=on:plsql=on:plsqc=2:plsqr=1,32:newcnf=on:bd=off:to=lpo_0 on Vampire---4 for (2993ds/32Mi)
% 1.20/1.09  % (18654)Instruction limit reached!
% 1.20/1.09  % (18654)------------------------------
% 1.20/1.09  % (18654)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 1.20/1.09  % (18654)Termination reason: Unknown
% 1.20/1.09  % (18654)Termination phase: Preprocessing 1
% 1.20/1.09  
% 1.20/1.09  % (18654)Memory used [KB]: 9559
% 1.20/1.09  % (18654)Time elapsed: 0.036 s
% 1.20/1.09  % (18654)Instructions burned: 120 (million)
% 1.20/1.09  % (18654)------------------------------
% 1.20/1.09  % (18654)------------------------------
% 1.20/1.09  % (18649)First to succeed.
% 1.20/1.10  % (18678)dis+1011_1:1_sil=16000:nwc=7.0:s2agt=64:s2a=on:i=1919:ss=axioms:sgt=8:lsd=50:sd=7_0 on Vampire---4 for (2993ds/1919Mi)
% 1.20/1.10  % (18649)Refutation found. Thanks to Tanya!
% 1.20/1.10  % SZS status Theorem for Vampire---4
% 1.20/1.10  % SZS output start Proof for Vampire---4
% See solution above
% 1.20/1.10  % (18649)------------------------------
% 1.20/1.10  % (18649)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 1.20/1.10  % (18649)Termination reason: Refutation
% 1.20/1.10  
% 1.20/1.10  % (18649)Memory used [KB]: 7696
% 1.20/1.10  % (18649)Time elapsed: 0.047 s
% 1.20/1.10  % (18649)Instructions burned: 166 (million)
% 1.20/1.10  % (18649)------------------------------
% 1.20/1.10  % (18649)------------------------------
% 1.20/1.10  % (18555)Success in time 0.703 s
% 1.20/1.10  % Vampire---4.8 exiting
%------------------------------------------------------------------------------