TSTP Solution File: PRO011+1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : PRO011+1 : TPTP v8.1.2. Released v4.0.0.
% 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 : n009.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 08:47:19 EDT 2024

% Result   : Theorem 0.60s 0.79s
% Output   : Refutation 0.60s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   11
%            Number of leaves      :   21
% Syntax   : Number of formulae    :   83 (   8 unt;   0 def)
%            Number of atoms       :  339 (  12 equ)
%            Maximal formula atoms :   20 (   4 avg)
%            Number of connectives :  356 ( 100   ~;  99   |; 124   &)
%                                         (  13 <=>;  20  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   13 (   5 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :   18 (  16 usr;   9 prp; 0-3 aty)
%            Number of functors    :   14 (  14 usr;   6 con; 0-2 aty)
%            Number of variables   :  150 (  98   !;  52   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f535,plain,
    $false,
    inference(avatar_sat_refutation,[],[f298,f337,f405,f406,f480,f482,f490,f529,f534]) ).

fof(f534,plain,
    ( ~ spl20_6
    | ~ spl20_23 ),
    inference(avatar_contradiction_clause,[],[f533]) ).

fof(f533,plain,
    ( $false
    | ~ spl20_6
    | ~ spl20_23 ),
    inference(resolution,[],[f297,f483]) ).

fof(f483,plain,
    ( ! [X0] : ~ min_precedes(sK16(sK17),X0,tptp0)
    | ~ spl20_23 ),
    inference(resolution,[],[f479,f210]) ).

fof(f210,plain,
    ! [X0,X1,X4] :
      ( ~ leaf(X0,X1)
      | ~ min_precedes(X0,X4,X1) ),
    inference(cnf_transformation,[],[f153]) ).

fof(f153,plain,
    ! [X0,X1] :
      ( ( leaf(X0,X1)
        | min_precedes(X0,sK5(X0,X1),X1)
        | ( ! [X3] : ~ min_precedes(X3,X0,X1)
          & ~ root(X0,X1) ) )
      & ( ( ! [X4] : ~ min_precedes(X0,X4,X1)
          & ( min_precedes(sK6(X0,X1),X0,X1)
            | root(X0,X1) ) )
        | ~ leaf(X0,X1) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK5,sK6])],[f150,f152,f151]) ).

fof(f151,plain,
    ! [X0,X1] :
      ( ? [X2] : min_precedes(X0,X2,X1)
     => min_precedes(X0,sK5(X0,X1),X1) ),
    introduced(choice_axiom,[]) ).

fof(f152,plain,
    ! [X0,X1] :
      ( ? [X5] : min_precedes(X5,X0,X1)
     => min_precedes(sK6(X0,X1),X0,X1) ),
    introduced(choice_axiom,[]) ).

fof(f150,plain,
    ! [X0,X1] :
      ( ( leaf(X0,X1)
        | ? [X2] : min_precedes(X0,X2,X1)
        | ( ! [X3] : ~ min_precedes(X3,X0,X1)
          & ~ root(X0,X1) ) )
      & ( ( ! [X4] : ~ min_precedes(X0,X4,X1)
          & ( ? [X5] : min_precedes(X5,X0,X1)
            | root(X0,X1) ) )
        | ~ leaf(X0,X1) ) ),
    inference(rectify,[],[f149]) ).

fof(f149,plain,
    ! [X0,X1] :
      ( ( leaf(X0,X1)
        | ? [X2] : min_precedes(X0,X2,X1)
        | ( ! [X3] : ~ min_precedes(X3,X0,X1)
          & ~ root(X0,X1) ) )
      & ( ( ! [X2] : ~ min_precedes(X0,X2,X1)
          & ( ? [X3] : min_precedes(X3,X0,X1)
            | root(X0,X1) ) )
        | ~ leaf(X0,X1) ) ),
    inference(flattening,[],[f148]) ).

fof(f148,plain,
    ! [X0,X1] :
      ( ( leaf(X0,X1)
        | ? [X2] : min_precedes(X0,X2,X1)
        | ( ! [X3] : ~ min_precedes(X3,X0,X1)
          & ~ root(X0,X1) ) )
      & ( ( ! [X2] : ~ min_precedes(X0,X2,X1)
          & ( ? [X3] : min_precedes(X3,X0,X1)
            | root(X0,X1) ) )
        | ~ leaf(X0,X1) ) ),
    inference(nnf_transformation,[],[f116]) ).

fof(f116,plain,
    ! [X0,X1] :
      ( leaf(X0,X1)
    <=> ( ! [X2] : ~ min_precedes(X0,X2,X1)
        & ( ? [X3] : min_precedes(X3,X0,X1)
          | root(X0,X1) ) ) ),
    inference(ennf_transformation,[],[f71]) ).

fof(f71,plain,
    ! [X0,X1] :
      ( leaf(X0,X1)
    <=> ( ~ ? [X2] : min_precedes(X0,X2,X1)
        & ( ? [X3] : min_precedes(X3,X0,X1)
          | root(X0,X1) ) ) ),
    inference(rectify,[],[f22]) ).

fof(f22,axiom,
    ! [X56,X57] :
      ( leaf(X56,X57)
    <=> ( ~ ? [X59] : min_precedes(X56,X59,X57)
        & ( ? [X58] : min_precedes(X58,X56,X57)
          | root(X56,X57) ) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.0sFwFZLcUB/Vampire---4.8_26535',sos_21) ).

fof(f479,plain,
    ( leaf(sK16(sK17),tptp0)
    | ~ spl20_23 ),
    inference(avatar_component_clause,[],[f477]) ).

fof(f477,plain,
    ( spl20_23
  <=> leaf(sK16(sK17),tptp0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl20_23])]) ).

fof(f297,plain,
    ( ! [X1] : min_precedes(X1,sK18(X1),tptp0)
    | ~ spl20_6 ),
    inference(avatar_component_clause,[],[f296]) ).

fof(f296,plain,
    ( spl20_6
  <=> ! [X1] : min_precedes(X1,sK18(X1),tptp0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl20_6])]) ).

fof(f529,plain,
    ( ~ spl20_20
    | ~ spl20_21 ),
    inference(avatar_contradiction_clause,[],[f528]) ).

fof(f528,plain,
    ( $false
    | ~ spl20_20
    | ~ spl20_21 ),
    inference(trivial_inequality_removal,[],[f522]) ).

fof(f522,plain,
    ( tptp1 != tptp1
    | ~ spl20_20
    | ~ spl20_21 ),
    inference(superposition,[],[f259,f520]) ).

fof(f520,plain,
    ( tptp1 = tptp2
    | ~ spl20_20
    | ~ spl20_21 ),
    inference(resolution,[],[f453,f399]) ).

fof(f399,plain,
    ( occurrence_of(sK16(sK17),tptp2)
    | ~ spl20_20 ),
    inference(avatar_component_clause,[],[f397]) ).

fof(f397,plain,
    ( spl20_20
  <=> occurrence_of(sK16(sK17),tptp2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl20_20])]) ).

fof(f453,plain,
    ( ! [X0] :
        ( ~ occurrence_of(sK16(sK17),X0)
        | tptp1 = X0 )
    | ~ spl20_21 ),
    inference(resolution,[],[f182,f403]) ).

fof(f403,plain,
    ( occurrence_of(sK16(sK17),tptp1)
    | ~ spl20_21 ),
    inference(avatar_component_clause,[],[f401]) ).

fof(f401,plain,
    ( spl20_21
  <=> occurrence_of(sK16(sK17),tptp1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl20_21])]) ).

fof(f182,plain,
    ! [X2,X0,X1] :
      ( ~ occurrence_of(X0,X2)
      | X1 = X2
      | ~ occurrence_of(X0,X1) ),
    inference(cnf_transformation,[],[f92]) ).

fof(f92,plain,
    ! [X0,X1,X2] :
      ( X1 = X2
      | ~ occurrence_of(X0,X2)
      | ~ occurrence_of(X0,X1) ),
    inference(flattening,[],[f91]) ).

fof(f91,plain,
    ! [X0,X1,X2] :
      ( X1 = X2
      | ~ occurrence_of(X0,X2)
      | ~ occurrence_of(X0,X1) ),
    inference(ennf_transformation,[],[f52]) ).

fof(f52,plain,
    ! [X0,X1,X2] :
      ( ( occurrence_of(X0,X2)
        & occurrence_of(X0,X1) )
     => X1 = X2 ),
    inference(rectify,[],[f3]) ).

fof(f3,axiom,
    ! [X4,X5,X6] :
      ( ( occurrence_of(X4,X6)
        & occurrence_of(X4,X5) )
     => X5 = X6 ),
    file('/export/starexec/sandbox2/tmp/tmp.0sFwFZLcUB/Vampire---4.8_26535',sos_02) ).

fof(f259,plain,
    tptp1 != tptp2,
    inference(cnf_transformation,[],[f48]) ).

fof(f48,axiom,
    tptp1 != tptp2,
    file('/export/starexec/sandbox2/tmp/tmp.0sFwFZLcUB/Vampire---4.8_26535',sos_47) ).

fof(f490,plain,
    ( ~ spl20_15
    | ~ spl20_23 ),
    inference(avatar_contradiction_clause,[],[f486]) ).

fof(f486,plain,
    ( $false
    | ~ spl20_15
    | ~ spl20_23 ),
    inference(resolution,[],[f483,f333]) ).

fof(f333,plain,
    ( ! [X1] : min_precedes(X1,sK19(X1),tptp0)
    | ~ spl20_15 ),
    inference(avatar_component_clause,[],[f332]) ).

fof(f332,plain,
    ( spl20_15
  <=> ! [X1] : min_precedes(X1,sK19(X1),tptp0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl20_15])]) ).

fof(f482,plain,
    spl20_22,
    inference(avatar_contradiction_clause,[],[f481]) ).

fof(f481,plain,
    ( $false
    | spl20_22 ),
    inference(resolution,[],[f475,f391]) ).

fof(f391,plain,
    leaf_occ(sK16(sK17),sK17),
    inference(resolution,[],[f247,f260]) ).

fof(f260,plain,
    occurrence_of(sK17,tptp0),
    inference(cnf_transformation,[],[f177]) ).

fof(f177,plain,
    ( ! [X1,X2] :
        ( ( min_precedes(X1,sK18(X1),tptp0)
          & subactivity_occurrence(sK18(X1),sK17)
          & occurrence_of(sK18(X1),tptp1)
          & occurrence_of(X2,tptp2) )
        | ( min_precedes(X1,sK19(X1),tptp0)
          & subactivity_occurrence(sK19(X1),sK17)
          & occurrence_of(sK19(X1),tptp2)
          & occurrence_of(X2,tptp1) )
        | ~ leaf_occ(X2,sK17) )
    & occurrence_of(sK17,tptp0) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK17,sK18,sK19])],[f136,f176,f175,f174]) ).

fof(f174,plain,
    ( ? [X0] :
        ( ! [X1,X2] :
            ( ( ? [X3] :
                  ( min_precedes(X1,X3,tptp0)
                  & subactivity_occurrence(X3,X0)
                  & occurrence_of(X3,tptp1) )
              & occurrence_of(X2,tptp2) )
            | ( ? [X4] :
                  ( min_precedes(X1,X4,tptp0)
                  & subactivity_occurrence(X4,X0)
                  & occurrence_of(X4,tptp2) )
              & occurrence_of(X2,tptp1) )
            | ~ leaf_occ(X2,X0) )
        & occurrence_of(X0,tptp0) )
   => ( ! [X2,X1] :
          ( ( ? [X3] :
                ( min_precedes(X1,X3,tptp0)
                & subactivity_occurrence(X3,sK17)
                & occurrence_of(X3,tptp1) )
            & occurrence_of(X2,tptp2) )
          | ( ? [X4] :
                ( min_precedes(X1,X4,tptp0)
                & subactivity_occurrence(X4,sK17)
                & occurrence_of(X4,tptp2) )
            & occurrence_of(X2,tptp1) )
          | ~ leaf_occ(X2,sK17) )
      & occurrence_of(sK17,tptp0) ) ),
    introduced(choice_axiom,[]) ).

fof(f175,plain,
    ! [X1] :
      ( ? [X3] :
          ( min_precedes(X1,X3,tptp0)
          & subactivity_occurrence(X3,sK17)
          & occurrence_of(X3,tptp1) )
     => ( min_precedes(X1,sK18(X1),tptp0)
        & subactivity_occurrence(sK18(X1),sK17)
        & occurrence_of(sK18(X1),tptp1) ) ),
    introduced(choice_axiom,[]) ).

fof(f176,plain,
    ! [X1] :
      ( ? [X4] :
          ( min_precedes(X1,X4,tptp0)
          & subactivity_occurrence(X4,sK17)
          & occurrence_of(X4,tptp2) )
     => ( min_precedes(X1,sK19(X1),tptp0)
        & subactivity_occurrence(sK19(X1),sK17)
        & occurrence_of(sK19(X1),tptp2) ) ),
    introduced(choice_axiom,[]) ).

fof(f136,plain,
    ? [X0] :
      ( ! [X1,X2] :
          ( ( ? [X3] :
                ( min_precedes(X1,X3,tptp0)
                & subactivity_occurrence(X3,X0)
                & occurrence_of(X3,tptp1) )
            & occurrence_of(X2,tptp2) )
          | ( ? [X4] :
                ( min_precedes(X1,X4,tptp0)
                & subactivity_occurrence(X4,X0)
                & occurrence_of(X4,tptp2) )
            & occurrence_of(X2,tptp1) )
          | ~ leaf_occ(X2,X0) )
      & occurrence_of(X0,tptp0) ),
    inference(ennf_transformation,[],[f86]) ).

fof(f86,plain,
    ~ ! [X0] :
        ( occurrence_of(X0,tptp0)
       => ? [X1,X2] :
            ( ( occurrence_of(X2,tptp2)
             => ~ ? [X3] :
                    ( min_precedes(X1,X3,tptp0)
                    & subactivity_occurrence(X3,X0)
                    & occurrence_of(X3,tptp1) ) )
            & ( occurrence_of(X2,tptp1)
             => ~ ? [X4] :
                    ( min_precedes(X1,X4,tptp0)
                    & subactivity_occurrence(X4,X0)
                    & occurrence_of(X4,tptp2) ) )
            & leaf_occ(X2,X0) ) ),
    inference(rectify,[],[f50]) ).

fof(f50,negated_conjecture,
    ~ ! [X109] :
        ( occurrence_of(X109,tptp0)
       => ? [X110,X111] :
            ( ( occurrence_of(X111,tptp2)
             => ~ ? [X113] :
                    ( min_precedes(X110,X113,tptp0)
                    & subactivity_occurrence(X113,X109)
                    & occurrence_of(X113,tptp1) ) )
            & ( occurrence_of(X111,tptp1)
             => ~ ? [X112] :
                    ( min_precedes(X110,X112,tptp0)
                    & subactivity_occurrence(X112,X109)
                    & occurrence_of(X112,tptp2) ) )
            & leaf_occ(X111,X109) ) ),
    inference(negated_conjecture,[],[f49]) ).

fof(f49,conjecture,
    ! [X109] :
      ( occurrence_of(X109,tptp0)
     => ? [X110,X111] :
          ( ( occurrence_of(X111,tptp2)
           => ~ ? [X113] :
                  ( min_precedes(X110,X113,tptp0)
                  & subactivity_occurrence(X113,X109)
                  & occurrence_of(X113,tptp1) ) )
          & ( occurrence_of(X111,tptp1)
           => ~ ? [X112] :
                  ( min_precedes(X110,X112,tptp0)
                  & subactivity_occurrence(X112,X109)
                  & occurrence_of(X112,tptp2) ) )
          & leaf_occ(X111,X109) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.0sFwFZLcUB/Vampire---4.8_26535',goals) ).

fof(f247,plain,
    ! [X0] :
      ( ~ occurrence_of(X0,tptp0)
      | leaf_occ(sK16(X0),X0) ),
    inference(cnf_transformation,[],[f173]) ).

fof(f173,plain,
    ! [X0] :
      ( ( leaf_occ(sK16(X0),X0)
        & next_subocc(sK15(X0),sK16(X0),tptp0)
        & ( occurrence_of(sK16(X0),tptp2)
          | occurrence_of(sK16(X0),tptp1) )
        & next_subocc(sK14(X0),sK15(X0),tptp0)
        & occurrence_of(sK15(X0),tptp4)
        & root_occ(sK14(X0),X0)
        & occurrence_of(sK14(X0),tptp3) )
      | ~ occurrence_of(X0,tptp0) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK14,sK15,sK16])],[f135,f172]) ).

fof(f172,plain,
    ! [X0] :
      ( ? [X1,X2,X3] :
          ( leaf_occ(X3,X0)
          & next_subocc(X2,X3,tptp0)
          & ( occurrence_of(X3,tptp2)
            | occurrence_of(X3,tptp1) )
          & next_subocc(X1,X2,tptp0)
          & occurrence_of(X2,tptp4)
          & root_occ(X1,X0)
          & occurrence_of(X1,tptp3) )
     => ( leaf_occ(sK16(X0),X0)
        & next_subocc(sK15(X0),sK16(X0),tptp0)
        & ( occurrence_of(sK16(X0),tptp2)
          | occurrence_of(sK16(X0),tptp1) )
        & next_subocc(sK14(X0),sK15(X0),tptp0)
        & occurrence_of(sK15(X0),tptp4)
        & root_occ(sK14(X0),X0)
        & occurrence_of(sK14(X0),tptp3) ) ),
    introduced(choice_axiom,[]) ).

fof(f135,plain,
    ! [X0] :
      ( ? [X1,X2,X3] :
          ( leaf_occ(X3,X0)
          & next_subocc(X2,X3,tptp0)
          & ( occurrence_of(X3,tptp2)
            | occurrence_of(X3,tptp1) )
          & next_subocc(X1,X2,tptp0)
          & occurrence_of(X2,tptp4)
          & root_occ(X1,X0)
          & occurrence_of(X1,tptp3) )
      | ~ occurrence_of(X0,tptp0) ),
    inference(ennf_transformation,[],[f85]) ).

fof(f85,plain,
    ! [X0] :
      ( occurrence_of(X0,tptp0)
     => ? [X1,X2,X3] :
          ( leaf_occ(X3,X0)
          & next_subocc(X2,X3,tptp0)
          & ( occurrence_of(X3,tptp2)
            | occurrence_of(X3,tptp1) )
          & next_subocc(X1,X2,tptp0)
          & occurrence_of(X2,tptp4)
          & root_occ(X1,X0)
          & occurrence_of(X1,tptp3) ) ),
    inference(rectify,[],[f36]) ).

fof(f36,axiom,
    ! [X105] :
      ( occurrence_of(X105,tptp0)
     => ? [X106,X107,X108] :
          ( leaf_occ(X108,X105)
          & next_subocc(X107,X108,tptp0)
          & ( occurrence_of(X108,tptp2)
            | occurrence_of(X108,tptp1) )
          & next_subocc(X106,X107,tptp0)
          & occurrence_of(X107,tptp4)
          & root_occ(X106,X105)
          & occurrence_of(X106,tptp3) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.0sFwFZLcUB/Vampire---4.8_26535',sos_35) ).

fof(f475,plain,
    ( ~ leaf_occ(sK16(sK17),sK17)
    | spl20_22 ),
    inference(avatar_component_clause,[],[f473]) ).

fof(f473,plain,
    ( spl20_22
  <=> leaf_occ(sK16(sK17),sK17) ),
    introduced(avatar_definition,[new_symbols(naming,[spl20_22])]) ).

fof(f480,plain,
    ( ~ spl20_22
    | spl20_23 ),
    inference(avatar_split_clause,[],[f471,f477,f473]) ).

fof(f471,plain,
    ( leaf(sK16(sK17),tptp0)
    | ~ leaf_occ(sK16(sK17),sK17) ),
    inference(superposition,[],[f239,f465]) ).

fof(f465,plain,
    tptp0 = sK13(sK16(sK17),sK17),
    inference(resolution,[],[f455,f432]) ).

fof(f432,plain,
    occurrence_of(sK17,sK13(sK16(sK17),sK17)),
    inference(resolution,[],[f237,f391]) ).

fof(f237,plain,
    ! [X0,X1] :
      ( ~ leaf_occ(X0,X1)
      | occurrence_of(X1,sK13(X0,X1)) ),
    inference(cnf_transformation,[],[f171]) ).

fof(f171,plain,
    ! [X0,X1] :
      ( ( leaf_occ(X0,X1)
        | ! [X2] :
            ( ~ leaf(X0,X2)
            | ~ subactivity_occurrence(X0,X1)
            | ~ occurrence_of(X1,X2) ) )
      & ( ( leaf(X0,sK13(X0,X1))
          & subactivity_occurrence(X0,X1)
          & occurrence_of(X1,sK13(X0,X1)) )
        | ~ leaf_occ(X0,X1) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK13])],[f169,f170]) ).

fof(f170,plain,
    ! [X0,X1] :
      ( ? [X3] :
          ( leaf(X0,X3)
          & subactivity_occurrence(X0,X1)
          & occurrence_of(X1,X3) )
     => ( leaf(X0,sK13(X0,X1))
        & subactivity_occurrence(X0,X1)
        & occurrence_of(X1,sK13(X0,X1)) ) ),
    introduced(choice_axiom,[]) ).

fof(f169,plain,
    ! [X0,X1] :
      ( ( leaf_occ(X0,X1)
        | ! [X2] :
            ( ~ leaf(X0,X2)
            | ~ subactivity_occurrence(X0,X1)
            | ~ occurrence_of(X1,X2) ) )
      & ( ? [X3] :
            ( leaf(X0,X3)
            & subactivity_occurrence(X0,X1)
            & occurrence_of(X1,X3) )
        | ~ leaf_occ(X0,X1) ) ),
    inference(rectify,[],[f168]) ).

fof(f168,plain,
    ! [X0,X1] :
      ( ( leaf_occ(X0,X1)
        | ! [X2] :
            ( ~ leaf(X0,X2)
            | ~ subactivity_occurrence(X0,X1)
            | ~ occurrence_of(X1,X2) ) )
      & ( ? [X2] :
            ( leaf(X0,X2)
            & subactivity_occurrence(X0,X1)
            & occurrence_of(X1,X2) )
        | ~ leaf_occ(X0,X1) ) ),
    inference(nnf_transformation,[],[f84]) ).

fof(f84,plain,
    ! [X0,X1] :
      ( leaf_occ(X0,X1)
    <=> ? [X2] :
          ( leaf(X0,X2)
          & subactivity_occurrence(X0,X1)
          & occurrence_of(X1,X2) ) ),
    inference(rectify,[],[f35]) ).

fof(f35,axiom,
    ! [X102,X103] :
      ( leaf_occ(X102,X103)
    <=> ? [X104] :
          ( leaf(X102,X104)
          & subactivity_occurrence(X102,X103)
          & occurrence_of(X103,X104) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.0sFwFZLcUB/Vampire---4.8_26535',sos_34) ).

fof(f455,plain,
    ! [X0] :
      ( ~ occurrence_of(sK17,X0)
      | tptp0 = X0 ),
    inference(resolution,[],[f182,f260]) ).

fof(f239,plain,
    ! [X0,X1] :
      ( leaf(X0,sK13(X0,X1))
      | ~ leaf_occ(X0,X1) ),
    inference(cnf_transformation,[],[f171]) ).

fof(f406,plain,
    ( spl20_21
    | ~ spl20_5 ),
    inference(avatar_split_clause,[],[f394,f293,f401]) ).

fof(f293,plain,
    ( spl20_5
  <=> ! [X2] :
        ( occurrence_of(X2,tptp1)
        | ~ leaf_occ(X2,sK17) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl20_5])]) ).

fof(f394,plain,
    ( occurrence_of(sK16(sK17),tptp1)
    | ~ spl20_5 ),
    inference(resolution,[],[f391,f294]) ).

fof(f294,plain,
    ( ! [X2] :
        ( ~ leaf_occ(X2,sK17)
        | occurrence_of(X2,tptp1) )
    | ~ spl20_5 ),
    inference(avatar_component_clause,[],[f293]) ).

fof(f405,plain,
    ( spl20_20
    | ~ spl20_16 ),
    inference(avatar_split_clause,[],[f393,f335,f397]) ).

fof(f335,plain,
    ( spl20_16
  <=> ! [X2] :
        ( occurrence_of(X2,tptp2)
        | ~ leaf_occ(X2,sK17) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl20_16])]) ).

fof(f393,plain,
    ( occurrence_of(sK16(sK17),tptp2)
    | ~ spl20_16 ),
    inference(resolution,[],[f391,f336]) ).

fof(f336,plain,
    ( ! [X2] :
        ( ~ leaf_occ(X2,sK17)
        | occurrence_of(X2,tptp2) )
    | ~ spl20_16 ),
    inference(avatar_component_clause,[],[f335]) ).

fof(f337,plain,
    ( spl20_15
    | spl20_16 ),
    inference(avatar_split_clause,[],[f264,f335,f332]) ).

fof(f264,plain,
    ! [X2,X1] :
      ( occurrence_of(X2,tptp2)
      | min_precedes(X1,sK19(X1),tptp0)
      | ~ leaf_occ(X2,sK17) ),
    inference(cnf_transformation,[],[f177]) ).

fof(f298,plain,
    ( spl20_5
    | spl20_6 ),
    inference(avatar_split_clause,[],[f273,f296,f293]) ).

fof(f273,plain,
    ! [X2,X1] :
      ( min_precedes(X1,sK18(X1),tptp0)
      | occurrence_of(X2,tptp1)
      | ~ leaf_occ(X2,sK17) ),
    inference(cnf_transformation,[],[f177]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13  % Problem    : PRO011+1 : TPTP v8.1.2. Released v4.0.0.
% 0.12/0.15  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.15/0.37  % Computer : n009.cluster.edu
% 0.15/0.37  % Model    : x86_64 x86_64
% 0.15/0.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.37  % Memory   : 8042.1875MB
% 0.15/0.37  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.37  % CPULimit   : 300
% 0.15/0.37  % WCLimit    : 300
% 0.15/0.37  % DateTime   : Fri May  3 20:36:08 EDT 2024
% 0.15/0.37  % CPUTime    : 
% 0.15/0.37  This is a FOF_THM_RFO_SEQ problem
% 0.15/0.37  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.0sFwFZLcUB/Vampire---4.8_26535
% 0.60/0.78  % (26757)lrs+2_1:1_sil=16000:fde=none:sos=all:nwc=5.0:i=34:ep=RS:s2pl=on:lma=on:afp=100000_0 on Vampire---4 for (2995ds/34Mi)
% 0.60/0.78  % (26755)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2995ds/78Mi)
% 0.60/0.78  % (26756)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on Vampire---4 for (2995ds/33Mi)
% 0.60/0.78  % (26754)lrs+1011_461:32768_sil=16000:irw=on:sp=frequency:lsd=20:fd=preordered:nwc=10.0:s2agt=32:alpa=false:cond=fast:s2a=on:i=51:s2at=3.0:awrs=decay:awrsf=691:bd=off:nm=20:fsr=off:amm=sco:uhcvi=on:rawr=on_0 on Vampire---4 for (2995ds/51Mi)
% 0.60/0.78  % (26758)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on Vampire---4 for (2995ds/45Mi)
% 0.60/0.78  % (26759)lrs+21_1:5_sil=2000:sos=on:urr=on:newcnf=on:slsq=on:i=83:slsql=off:bd=off:nm=2:ss=axioms:st=1.5:sp=const_min:gsp=on:rawr=on_0 on Vampire---4 for (2995ds/83Mi)
% 0.60/0.78  % (26760)lrs-21_1:1_to=lpo:sil=2000:sp=frequency:sos=on:lma=on:i=56:sd=2:ss=axioms:ep=R_0 on Vampire---4 for (2995ds/56Mi)
% 0.60/0.78  % (26756)Refutation not found, incomplete strategy% (26756)------------------------------
% 0.60/0.78  % (26756)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.78  % (26760)Refutation not found, incomplete strategy% (26760)------------------------------
% 0.60/0.78  % (26760)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.78  % (26760)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.78  
% 0.60/0.78  % (26760)Memory used [KB]: 1030
% 0.60/0.78  % (26760)Time elapsed: 0.001 s
% 0.60/0.78  % (26760)Instructions burned: 2 (million)
% 0.60/0.78  % (26756)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.78  
% 0.60/0.78  % (26756)Memory used [KB]: 1027
% 0.60/0.78  % (26756)Time elapsed: 0.002 s
% 0.60/0.78  % (26756)Instructions burned: 2 (million)
% 0.60/0.78  % (26758)Refutation not found, incomplete strategy% (26758)------------------------------
% 0.60/0.78  % (26758)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.78  % (26758)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.78  
% 0.60/0.78  % (26758)Memory used [KB]: 1048
% 0.60/0.78  % (26760)------------------------------
% 0.60/0.78  % (26760)------------------------------
% 0.60/0.78  % (26758)Time elapsed: 0.002 s
% 0.60/0.78  % (26758)Instructions burned: 2 (million)
% 0.60/0.78  % (26756)------------------------------
% 0.60/0.78  % (26756)------------------------------
% 0.60/0.78  % (26758)------------------------------
% 0.60/0.78  % (26758)------------------------------
% 0.60/0.78  % (26753)dis-1011_2:1_sil=2000:lsd=20:nwc=5.0:flr=on:mep=off:st=3.0:i=34:sd=1:ep=RS:ss=axioms_0 on Vampire---4 for (2995ds/34Mi)
% 0.60/0.79  % (26763)lrs+21_1:16_sil=2000:sp=occurrence:urr=on:flr=on:i=55:sd=1:nm=0:ins=3:ss=included:rawr=on:br=off_0 on Vampire---4 for (2995ds/55Mi)
% 0.60/0.79  % (26764)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 (2995ds/50Mi)
% 0.60/0.79  % (26765)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 (2995ds/208Mi)
% 0.60/0.79  % (26754)First to succeed.
% 0.60/0.79  % (26753)Refutation not found, incomplete strategy% (26753)------------------------------
% 0.60/0.79  % (26753)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.79  % (26753)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.79  
% 0.60/0.79  % (26753)Memory used [KB]: 1144
% 0.60/0.79  % (26753)Time elapsed: 0.006 s
% 0.60/0.79  % (26753)Instructions burned: 8 (million)
% 0.60/0.79  % (26754)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-26700"
% 0.60/0.79  % (26753)------------------------------
% 0.60/0.79  % (26753)------------------------------
% 0.60/0.79  % (26754)Refutation found. Thanks to Tanya!
% 0.60/0.79  % SZS status Theorem for Vampire---4
% 0.60/0.79  % SZS output start Proof for Vampire---4
% See solution above
% 0.60/0.79  % (26754)------------------------------
% 0.60/0.79  % (26754)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.79  % (26754)Termination reason: Refutation
% 0.60/0.79  
% 0.60/0.79  % (26754)Memory used [KB]: 1212
% 0.60/0.79  % (26754)Time elapsed: 0.007 s
% 0.60/0.79  % (26754)Instructions burned: 15 (million)
% 0.60/0.79  % (26700)Success in time 0.41 s
% 0.60/0.79  % Vampire---4.8 exiting
%------------------------------------------------------------------------------