TSTP Solution File: PRO017+4 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : PRO017+4 : 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/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s

% Computer : n002.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 08:47:26 EDT 2024

% Result   : Theorem 0.58s 0.79s
% Output   : Refutation 0.58s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   20
%            Number of leaves      :   13
% Syntax   : Number of formulae    :  101 (  26 unt;   0 def)
%            Number of atoms       :  340 (  29 equ)
%            Maximal formula atoms :   14 (   3 avg)
%            Number of connectives :  369 ( 130   ~; 138   |;  76   &)
%                                         (  10 <=>;  15  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   13 (   5 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :   14 (  12 usr;   3 prp; 0-3 aty)
%            Number of functors    :   11 (  11 usr;   7 con; 0-3 aty)
%            Number of variables   :  152 ( 123   !;  29   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1457,plain,
    $false,
    inference(avatar_sat_refutation,[],[f1373,f1426,f1454]) ).

fof(f1454,plain,
    ~ spl18_46,
    inference(avatar_contradiction_clause,[],[f1453]) ).

fof(f1453,plain,
    ( $false
    | ~ spl18_46 ),
    inference(subsumption_resolution,[],[f1441,f213]) ).

fof(f213,plain,
    occurrence_of(sK3(sK0),tptp4),
    inference(subsumption_resolution,[],[f212,f106]) ).

fof(f106,plain,
    ~ leaf_occ(sK0,sK1),
    inference(cnf_transformation,[],[f72]) ).

fof(f72,plain,
    ? [X0,X1] :
      ( ! [X2,X3] :
          ( ~ leaf(X3,tptp0)
          | ~ min_precedes(X2,X3,tptp0)
          | ( ~ occurrence_of(X3,tptp1)
            & ~ occurrence_of(X3,tptp2) )
          | ~ next_subocc(X0,X2,tptp0)
          | ~ occurrence_of(X2,tptp3) )
      & ~ leaf_occ(X0,X1)
      & arboreal(X0)
      & subactivity_occurrence(X0,X1)
      & occurrence_of(X1,tptp0) ),
    inference(flattening,[],[f71]) ).

fof(f71,plain,
    ? [X0,X1] :
      ( ! [X2,X3] :
          ( ~ leaf(X3,tptp0)
          | ~ min_precedes(X2,X3,tptp0)
          | ( ~ occurrence_of(X3,tptp1)
            & ~ occurrence_of(X3,tptp2) )
          | ~ next_subocc(X0,X2,tptp0)
          | ~ occurrence_of(X2,tptp3) )
      & ~ leaf_occ(X0,X1)
      & arboreal(X0)
      & subactivity_occurrence(X0,X1)
      & occurrence_of(X1,tptp0) ),
    inference(ennf_transformation,[],[f48]) ).

fof(f48,plain,
    ~ ! [X0,X1] :
        ( ( ~ leaf_occ(X0,X1)
          & arboreal(X0)
          & subactivity_occurrence(X0,X1)
          & occurrence_of(X1,tptp0) )
       => ? [X2,X3] :
            ( leaf(X3,tptp0)
            & min_precedes(X2,X3,tptp0)
            & ( occurrence_of(X3,tptp1)
              | occurrence_of(X3,tptp2) )
            & next_subocc(X0,X2,tptp0)
            & occurrence_of(X2,tptp3) ) ),
    inference(rectify,[],[f47]) ).

fof(f47,negated_conjecture,
    ~ ! [X107,X108] :
        ( ( ~ leaf_occ(X107,X108)
          & arboreal(X107)
          & subactivity_occurrence(X107,X108)
          & occurrence_of(X108,tptp0) )
       => ? [X109,X110] :
            ( leaf(X110,tptp0)
            & min_precedes(X109,X110,tptp0)
            & ( occurrence_of(X110,tptp1)
              | occurrence_of(X110,tptp2) )
            & next_subocc(X107,X109,tptp0)
            & occurrence_of(X109,tptp3) ) ),
    inference(negated_conjecture,[],[f46]) ).

fof(f46,conjecture,
    ! [X107,X108] :
      ( ( ~ leaf_occ(X107,X108)
        & arboreal(X107)
        & subactivity_occurrence(X107,X108)
        & occurrence_of(X108,tptp0) )
     => ? [X109,X110] :
          ( leaf(X110,tptp0)
          & min_precedes(X109,X110,tptp0)
          & ( occurrence_of(X110,tptp1)
            | occurrence_of(X110,tptp2) )
          & next_subocc(X107,X109,tptp0)
          & occurrence_of(X109,tptp3) ) ),
    file('/export/starexec/sandbox/tmp/tmp.e1lwZr7ArJ/Vampire---4.8_15711',goals) ).

fof(f212,plain,
    ( leaf_occ(sK0,sK1)
    | occurrence_of(sK3(sK0),tptp4) ),
    inference(subsumption_resolution,[],[f211,f105]) ).

fof(f105,plain,
    arboreal(sK0),
    inference(cnf_transformation,[],[f72]) ).

fof(f211,plain,
    ( ~ arboreal(sK0)
    | leaf_occ(sK0,sK1)
    | occurrence_of(sK3(sK0),tptp4) ),
    inference(subsumption_resolution,[],[f187,f103]) ).

fof(f103,plain,
    occurrence_of(sK1,tptp0),
    inference(cnf_transformation,[],[f72]) ).

fof(f187,plain,
    ( ~ occurrence_of(sK1,tptp0)
    | ~ arboreal(sK0)
    | leaf_occ(sK0,sK1)
    | occurrence_of(sK3(sK0),tptp4) ),
    inference(resolution,[],[f104,f112]) ).

fof(f112,plain,
    ! [X0,X1] :
      ( ~ subactivity_occurrence(X0,X1)
      | ~ occurrence_of(X1,tptp0)
      | ~ arboreal(X0)
      | leaf_occ(X0,X1)
      | occurrence_of(sK3(X0),tptp4) ),
    inference(cnf_transformation,[],[f74]) ).

fof(f74,plain,
    ! [X0,X1] :
      ( ? [X2,X3,X4] :
          ( ! [X5] :
              ( X4 = X5
              | X3 = X5
              | ~ min_precedes(X2,X5,tptp0) )
          & min_precedes(X3,X4,tptp0)
          & ( occurrence_of(X4,tptp1)
            | occurrence_of(X4,tptp2) )
          & min_precedes(X2,X3,tptp0)
          & occurrence_of(X3,tptp4)
          & next_subocc(X0,X2,tptp0)
          & occurrence_of(X2,tptp3) )
      | leaf_occ(X0,X1)
      | ~ arboreal(X0)
      | ~ subactivity_occurrence(X0,X1)
      | ~ occurrence_of(X1,tptp0) ),
    inference(flattening,[],[f73]) ).

fof(f73,plain,
    ! [X0,X1] :
      ( ? [X2,X3,X4] :
          ( ! [X5] :
              ( X4 = X5
              | X3 = X5
              | ~ min_precedes(X2,X5,tptp0) )
          & min_precedes(X3,X4,tptp0)
          & ( occurrence_of(X4,tptp1)
            | occurrence_of(X4,tptp2) )
          & min_precedes(X2,X3,tptp0)
          & occurrence_of(X3,tptp4)
          & next_subocc(X0,X2,tptp0)
          & occurrence_of(X2,tptp3) )
      | leaf_occ(X0,X1)
      | ~ arboreal(X0)
      | ~ subactivity_occurrence(X0,X1)
      | ~ occurrence_of(X1,tptp0) ),
    inference(ennf_transformation,[],[f49]) ).

fof(f49,plain,
    ! [X0,X1] :
      ( ( ~ leaf_occ(X0,X1)
        & arboreal(X0)
        & subactivity_occurrence(X0,X1)
        & occurrence_of(X1,tptp0) )
     => ? [X2,X3,X4] :
          ( ! [X5] :
              ( min_precedes(X2,X5,tptp0)
             => ( X4 = X5
                | X3 = X5 ) )
          & min_precedes(X3,X4,tptp0)
          & ( occurrence_of(X4,tptp1)
            | occurrence_of(X4,tptp2) )
          & min_precedes(X2,X3,tptp0)
          & occurrence_of(X3,tptp4)
          & next_subocc(X0,X2,tptp0)
          & occurrence_of(X2,tptp3) ) ),
    inference(rectify,[],[f33]) ).

fof(f33,axiom,
    ! [X101,X102] :
      ( ( ~ leaf_occ(X101,X102)
        & arboreal(X101)
        & subactivity_occurrence(X101,X102)
        & occurrence_of(X102,tptp0) )
     => ? [X103,X104,X105] :
          ( ! [X106] :
              ( min_precedes(X103,X106,tptp0)
             => ( X105 = X106
                | X104 = X106 ) )
          & min_precedes(X104,X105,tptp0)
          & ( occurrence_of(X105,tptp1)
            | occurrence_of(X105,tptp2) )
          & min_precedes(X103,X104,tptp0)
          & occurrence_of(X104,tptp4)
          & next_subocc(X101,X103,tptp0)
          & occurrence_of(X103,tptp3) ) ),
    file('/export/starexec/sandbox/tmp/tmp.e1lwZr7ArJ/Vampire---4.8_15711',sos_32) ).

fof(f104,plain,
    subactivity_occurrence(sK0,sK1),
    inference(cnf_transformation,[],[f72]) ).

fof(f1441,plain,
    ( ~ occurrence_of(sK3(sK0),tptp4)
    | ~ spl18_46 ),
    inference(superposition,[],[f1093,f1372]) ).

fof(f1372,plain,
    ( sK3(sK0) = sK2(sK2(sK0))
    | ~ spl18_46 ),
    inference(avatar_component_clause,[],[f1370]) ).

fof(f1370,plain,
    ( spl18_46
  <=> sK3(sK0) = sK2(sK2(sK0)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl18_46])]) ).

fof(f1093,plain,
    ~ occurrence_of(sK2(sK2(sK0)),tptp4),
    inference(unit_resulting_resolution,[],[f117,f996,f156]) ).

fof(f156,plain,
    ! [X2,X0,X1] :
      ( ~ occurrence_of(X0,X2)
      | ~ occurrence_of(X0,X1)
      | X1 = X2 ),
    inference(cnf_transformation,[],[f97]) ).

fof(f97,plain,
    ! [X0,X1,X2] :
      ( X1 = X2
      | ~ occurrence_of(X0,X2)
      | ~ occurrence_of(X0,X1) ),
    inference(flattening,[],[f96]) ).

fof(f96,plain,
    ! [X0,X1,X2] :
      ( X1 = X2
      | ~ occurrence_of(X0,X2)
      | ~ occurrence_of(X0,X1) ),
    inference(ennf_transformation,[],[f64]) ).

fof(f64,plain,
    ! [X0,X1,X2] :
      ( ( occurrence_of(X0,X2)
        & occurrence_of(X0,X1) )
     => X1 = X2 ),
    inference(rectify,[],[f9]) ).

fof(f9,axiom,
    ! [X28,X29,X30] :
      ( ( occurrence_of(X28,X30)
        & occurrence_of(X28,X29) )
     => X29 = X30 ),
    file('/export/starexec/sandbox/tmp/tmp.e1lwZr7ArJ/Vampire---4.8_15711',sos_08) ).

fof(f996,plain,
    occurrence_of(sK2(sK2(sK0)),tptp3),
    inference(subsumption_resolution,[],[f995,f826]) ).

fof(f826,plain,
    ~ leaf_occ(sK2(sK0),sK5(tptp0,sK2(sK0),sK3(sK0))),
    inference(unit_resulting_resolution,[],[f464,f456,f168]) ).

fof(f168,plain,
    ! [X2,X0,X1] :
      ( ~ sP17(X2,X1)
      | ~ leaf_occ(X1,X0)
      | ~ occurrence_of(X0,X2) ),
    inference(general_splitting,[],[f129,f167_D]) ).

fof(f167,plain,
    ! [X2,X3,X1] :
      ( ~ min_precedes(X1,X3,X2)
      | sP17(X2,X1) ),
    inference(cnf_transformation,[],[f167_D]) ).

fof(f167_D,plain,
    ! [X1,X2] :
      ( ! [X3] : ~ min_precedes(X1,X3,X2)
    <=> ~ sP17(X2,X1) ),
    introduced(general_splitting_component_introduction,[new_symbols(naming,[sP17])]) ).

fof(f129,plain,
    ! [X2,X3,X0,X1] :
      ( ~ occurrence_of(X0,X2)
      | ~ leaf_occ(X1,X0)
      | ~ min_precedes(X1,X3,X2) ),
    inference(cnf_transformation,[],[f81]) ).

fof(f81,plain,
    ! [X0,X1,X2] :
      ( ! [X3] : ~ min_precedes(X1,X3,X2)
      | ~ leaf_occ(X1,X0)
      | ~ occurrence_of(X0,X2) ),
    inference(flattening,[],[f80]) ).

fof(f80,plain,
    ! [X0,X1,X2] :
      ( ! [X3] : ~ min_precedes(X1,X3,X2)
      | ~ leaf_occ(X1,X0)
      | ~ occurrence_of(X0,X2) ),
    inference(ennf_transformation,[],[f53]) ).

fof(f53,plain,
    ! [X0,X1,X2] :
      ( ( leaf_occ(X1,X0)
        & occurrence_of(X0,X2) )
     => ~ ? [X3] : min_precedes(X1,X3,X2) ),
    inference(rectify,[],[f10]) ).

fof(f10,axiom,
    ! [X31,X32,X33] :
      ( ( leaf_occ(X32,X31)
        & occurrence_of(X31,X33) )
     => ~ ? [X34] : min_precedes(X32,X34,X33) ),
    file('/export/starexec/sandbox/tmp/tmp.e1lwZr7ArJ/Vampire---4.8_15711',sos_09) ).

fof(f456,plain,
    occurrence_of(sK5(tptp0,sK2(sK0),sK3(sK0)),tptp0),
    inference(unit_resulting_resolution,[],[f216,f123]) ).

fof(f123,plain,
    ! [X2,X0,X1] :
      ( occurrence_of(sK5(X0,X1,X2),X0)
      | ~ min_precedes(X1,X2,X0) ),
    inference(cnf_transformation,[],[f77]) ).

fof(f77,plain,
    ! [X0,X1,X2] :
      ( ? [X3] :
          ( subactivity_occurrence(X2,X3)
          & subactivity_occurrence(X1,X3)
          & occurrence_of(X3,X0) )
      | ~ min_precedes(X1,X2,X0) ),
    inference(ennf_transformation,[],[f51]) ).

fof(f51,plain,
    ! [X0,X1,X2] :
      ( min_precedes(X1,X2,X0)
     => ? [X3] :
          ( subactivity_occurrence(X2,X3)
          & subactivity_occurrence(X1,X3)
          & occurrence_of(X3,X0) ) ),
    inference(rectify,[],[f7]) ).

fof(f7,axiom,
    ! [X21,X22,X23] :
      ( min_precedes(X22,X23,X21)
     => ? [X24] :
          ( subactivity_occurrence(X23,X24)
          & subactivity_occurrence(X22,X24)
          & occurrence_of(X24,X21) ) ),
    file('/export/starexec/sandbox/tmp/tmp.e1lwZr7ArJ/Vampire---4.8_15711',sos_06) ).

fof(f216,plain,
    min_precedes(sK2(sK0),sK3(sK0),tptp0),
    inference(subsumption_resolution,[],[f215,f106]) ).

fof(f215,plain,
    ( leaf_occ(sK0,sK1)
    | min_precedes(sK2(sK0),sK3(sK0),tptp0) ),
    inference(subsumption_resolution,[],[f214,f105]) ).

fof(f214,plain,
    ( ~ arboreal(sK0)
    | leaf_occ(sK0,sK1)
    | min_precedes(sK2(sK0),sK3(sK0),tptp0) ),
    inference(subsumption_resolution,[],[f188,f103]) ).

fof(f188,plain,
    ( ~ occurrence_of(sK1,tptp0)
    | ~ arboreal(sK0)
    | leaf_occ(sK0,sK1)
    | min_precedes(sK2(sK0),sK3(sK0),tptp0) ),
    inference(resolution,[],[f104,f113]) ).

fof(f113,plain,
    ! [X0,X1] :
      ( ~ subactivity_occurrence(X0,X1)
      | ~ occurrence_of(X1,tptp0)
      | ~ arboreal(X0)
      | leaf_occ(X0,X1)
      | min_precedes(sK2(X0),sK3(X0),tptp0) ),
    inference(cnf_transformation,[],[f74]) ).

fof(f464,plain,
    sP17(tptp0,sK2(sK0)),
    inference(unit_resulting_resolution,[],[f216,f167]) ).

fof(f995,plain,
    ( leaf_occ(sK2(sK0),sK5(tptp0,sK2(sK0),sK3(sK0)))
    | occurrence_of(sK2(sK2(sK0)),tptp3) ),
    inference(subsumption_resolution,[],[f994,f269]) ).

fof(f269,plain,
    arboreal(sK2(sK0)),
    inference(unit_resulting_resolution,[],[f118,f207,f131]) ).

fof(f131,plain,
    ! [X0,X1] :
      ( ~ occurrence_of(X0,X1)
      | ~ atomic(X1)
      | arboreal(X0) ),
    inference(cnf_transformation,[],[f84]) ).

fof(f84,plain,
    ! [X0,X1] :
      ( ( arboreal(X0)
      <=> atomic(X1) )
      | ~ occurrence_of(X0,X1) ),
    inference(ennf_transformation,[],[f55]) ).

fof(f55,plain,
    ! [X0,X1] :
      ( occurrence_of(X0,X1)
     => ( arboreal(X0)
      <=> atomic(X1) ) ),
    inference(rectify,[],[f17]) ).

fof(f17,axiom,
    ! [X51,X52] :
      ( occurrence_of(X51,X52)
     => ( arboreal(X51)
      <=> atomic(X52) ) ),
    file('/export/starexec/sandbox/tmp/tmp.e1lwZr7ArJ/Vampire---4.8_15711',sos_16) ).

fof(f207,plain,
    occurrence_of(sK2(sK0),tptp3),
    inference(subsumption_resolution,[],[f206,f106]) ).

fof(f206,plain,
    ( leaf_occ(sK0,sK1)
    | occurrence_of(sK2(sK0),tptp3) ),
    inference(subsumption_resolution,[],[f205,f105]) ).

fof(f205,plain,
    ( ~ arboreal(sK0)
    | leaf_occ(sK0,sK1)
    | occurrence_of(sK2(sK0),tptp3) ),
    inference(subsumption_resolution,[],[f185,f103]) ).

fof(f185,plain,
    ( ~ occurrence_of(sK1,tptp0)
    | ~ arboreal(sK0)
    | leaf_occ(sK0,sK1)
    | occurrence_of(sK2(sK0),tptp3) ),
    inference(resolution,[],[f104,f110]) ).

fof(f110,plain,
    ! [X0,X1] :
      ( ~ subactivity_occurrence(X0,X1)
      | ~ occurrence_of(X1,tptp0)
      | ~ arboreal(X0)
      | leaf_occ(X0,X1)
      | occurrence_of(sK2(X0),tptp3) ),
    inference(cnf_transformation,[],[f74]) ).

fof(f118,plain,
    atomic(tptp3),
    inference(cnf_transformation,[],[f39]) ).

fof(f39,axiom,
    atomic(tptp3),
    file('/export/starexec/sandbox/tmp/tmp.e1lwZr7ArJ/Vampire---4.8_15711',sos_38) ).

fof(f994,plain,
    ( ~ arboreal(sK2(sK0))
    | leaf_occ(sK2(sK0),sK5(tptp0,sK2(sK0),sK3(sK0)))
    | occurrence_of(sK2(sK2(sK0)),tptp3) ),
    inference(subsumption_resolution,[],[f974,f456]) ).

fof(f974,plain,
    ( ~ occurrence_of(sK5(tptp0,sK2(sK0),sK3(sK0)),tptp0)
    | ~ arboreal(sK2(sK0))
    | leaf_occ(sK2(sK0),sK5(tptp0,sK2(sK0),sK3(sK0)))
    | occurrence_of(sK2(sK2(sK0)),tptp3) ),
    inference(resolution,[],[f457,f110]) ).

fof(f457,plain,
    subactivity_occurrence(sK2(sK0),sK5(tptp0,sK2(sK0),sK3(sK0))),
    inference(unit_resulting_resolution,[],[f216,f124]) ).

fof(f124,plain,
    ! [X2,X0,X1] :
      ( subactivity_occurrence(X1,sK5(X0,X1,X2))
      | ~ min_precedes(X1,X2,X0) ),
    inference(cnf_transformation,[],[f77]) ).

fof(f117,plain,
    tptp3 != tptp4,
    inference(cnf_transformation,[],[f40]) ).

fof(f40,axiom,
    tptp3 != tptp4,
    file('/export/starexec/sandbox/tmp/tmp.e1lwZr7ArJ/Vampire---4.8_15711',sos_39) ).

fof(f1426,plain,
    ~ spl18_45,
    inference(avatar_contradiction_clause,[],[f1425]) ).

fof(f1425,plain,
    ( $false
    | ~ spl18_45 ),
    inference(subsumption_resolution,[],[f1412,f219]) ).

fof(f219,plain,
    min_precedes(sK3(sK0),sK4(sK0),tptp0),
    inference(subsumption_resolution,[],[f218,f106]) ).

fof(f218,plain,
    ( leaf_occ(sK0,sK1)
    | min_precedes(sK3(sK0),sK4(sK0),tptp0) ),
    inference(subsumption_resolution,[],[f217,f105]) ).

fof(f217,plain,
    ( ~ arboreal(sK0)
    | leaf_occ(sK0,sK1)
    | min_precedes(sK3(sK0),sK4(sK0),tptp0) ),
    inference(subsumption_resolution,[],[f189,f103]) ).

fof(f189,plain,
    ( ~ occurrence_of(sK1,tptp0)
    | ~ arboreal(sK0)
    | leaf_occ(sK0,sK1)
    | min_precedes(sK3(sK0),sK4(sK0),tptp0) ),
    inference(resolution,[],[f104,f114]) ).

fof(f114,plain,
    ! [X0,X1] :
      ( ~ subactivity_occurrence(X0,X1)
      | ~ occurrence_of(X1,tptp0)
      | ~ arboreal(X0)
      | leaf_occ(X0,X1)
      | min_precedes(sK3(X0),sK4(X0),tptp0) ),
    inference(cnf_transformation,[],[f74]) ).

fof(f1412,plain,
    ( ~ min_precedes(sK3(sK0),sK4(sK0),tptp0)
    | ~ spl18_45 ),
    inference(superposition,[],[f1319,f1368]) ).

fof(f1368,plain,
    ( sK4(sK0) = sK2(sK2(sK0))
    | ~ spl18_45 ),
    inference(avatar_component_clause,[],[f1366]) ).

fof(f1366,plain,
    ( spl18_45
  <=> sK4(sK0) = sK2(sK2(sK0)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl18_45])]) ).

fof(f1319,plain,
    ~ min_precedes(sK3(sK0),sK2(sK2(sK0)),tptp0),
    inference(unit_resulting_resolution,[],[f216,f999,f148]) ).

fof(f148,plain,
    ! [X2,X3,X0,X1] :
      ( ~ next_subocc(X0,X1,X2)
      | ~ min_precedes(X3,X1,X2)
      | ~ min_precedes(X0,X3,X2) ),
    inference(cnf_transformation,[],[f90]) ).

fof(f90,plain,
    ! [X0,X1,X2] :
      ( next_subocc(X0,X1,X2)
    <=> ( ! [X3] :
            ( ~ min_precedes(X3,X1,X2)
            | ~ min_precedes(X0,X3,X2) )
        & min_precedes(X0,X1,X2) ) ),
    inference(ennf_transformation,[],[f60]) ).

fof(f60,plain,
    ! [X0,X1,X2] :
      ( next_subocc(X0,X1,X2)
    <=> ( ~ ? [X3] :
              ( min_precedes(X3,X1,X2)
              & min_precedes(X0,X3,X2) )
        & min_precedes(X0,X1,X2) ) ),
    inference(rectify,[],[f27]) ).

fof(f27,axiom,
    ! [X78,X79,X80] :
      ( next_subocc(X78,X79,X80)
    <=> ( ~ ? [X81] :
              ( min_precedes(X81,X79,X80)
              & min_precedes(X78,X81,X80) )
        & min_precedes(X78,X79,X80) ) ),
    file('/export/starexec/sandbox/tmp/tmp.e1lwZr7ArJ/Vampire---4.8_15711',sos_26) ).

fof(f999,plain,
    next_subocc(sK2(sK0),sK2(sK2(sK0)),tptp0),
    inference(subsumption_resolution,[],[f998,f826]) ).

fof(f998,plain,
    ( leaf_occ(sK2(sK0),sK5(tptp0,sK2(sK0),sK3(sK0)))
    | next_subocc(sK2(sK0),sK2(sK2(sK0)),tptp0) ),
    inference(subsumption_resolution,[],[f997,f269]) ).

fof(f997,plain,
    ( ~ arboreal(sK2(sK0))
    | leaf_occ(sK2(sK0),sK5(tptp0,sK2(sK0),sK3(sK0)))
    | next_subocc(sK2(sK0),sK2(sK2(sK0)),tptp0) ),
    inference(subsumption_resolution,[],[f975,f456]) ).

fof(f975,plain,
    ( ~ occurrence_of(sK5(tptp0,sK2(sK0),sK3(sK0)),tptp0)
    | ~ arboreal(sK2(sK0))
    | leaf_occ(sK2(sK0),sK5(tptp0,sK2(sK0),sK3(sK0)))
    | next_subocc(sK2(sK0),sK2(sK2(sK0)),tptp0) ),
    inference(resolution,[],[f457,f111]) ).

fof(f111,plain,
    ! [X0,X1] :
      ( ~ subactivity_occurrence(X0,X1)
      | ~ occurrence_of(X1,tptp0)
      | ~ arboreal(X0)
      | leaf_occ(X0,X1)
      | next_subocc(X0,sK2(X0),tptp0) ),
    inference(cnf_transformation,[],[f74]) ).

fof(f1373,plain,
    ( spl18_45
    | spl18_46 ),
    inference(avatar_split_clause,[],[f1364,f1370,f1366]) ).

fof(f1364,plain,
    ( sK3(sK0) = sK2(sK2(sK0))
    | sK4(sK0) = sK2(sK2(sK0)) ),
    inference(subsumption_resolution,[],[f1363,f227]) ).

fof(f227,plain,
    sP15(sK0),
    inference(unit_resulting_resolution,[],[f103,f104,f106,f163]) ).

fof(f163,plain,
    ! [X0,X1] :
      ( leaf_occ(X0,X1)
      | ~ subactivity_occurrence(X0,X1)
      | ~ occurrence_of(X1,tptp0)
      | sP15(X0) ),
    inference(cnf_transformation,[],[f163_D]) ).

fof(f163_D,plain,
    ! [X0] :
      ( ! [X1] :
          ( leaf_occ(X0,X1)
          | ~ subactivity_occurrence(X0,X1)
          | ~ occurrence_of(X1,tptp0) )
    <=> ~ sP15(X0) ),
    introduced(general_splitting_component_introduction,[new_symbols(naming,[sP15])]) ).

fof(f1363,plain,
    ( sK3(sK0) = sK2(sK2(sK0))
    | sK4(sK0) = sK2(sK2(sK0))
    | ~ sP15(sK0) ),
    inference(subsumption_resolution,[],[f1353,f105]) ).

fof(f1353,plain,
    ( ~ arboreal(sK0)
    | sK3(sK0) = sK2(sK2(sK0))
    | sK4(sK0) = sK2(sK2(sK0))
    | ~ sP15(sK0) ),
    inference(resolution,[],[f1320,f164]) ).

fof(f164,plain,
    ! [X0,X5] :
      ( ~ min_precedes(sK2(X0),X5,tptp0)
      | ~ arboreal(X0)
      | sK3(X0) = X5
      | sK4(X0) = X5
      | ~ sP15(X0) ),
    inference(general_splitting,[],[f108,f163_D]) ).

fof(f108,plain,
    ! [X0,X1,X5] :
      ( ~ occurrence_of(X1,tptp0)
      | ~ subactivity_occurrence(X0,X1)
      | ~ arboreal(X0)
      | leaf_occ(X0,X1)
      | ~ min_precedes(sK2(X0),X5,tptp0)
      | sK3(X0) = X5
      | sK4(X0) = X5 ),
    inference(cnf_transformation,[],[f74]) ).

fof(f1320,plain,
    min_precedes(sK2(sK0),sK2(sK2(sK0)),tptp0),
    inference(unit_resulting_resolution,[],[f999,f149]) ).

fof(f149,plain,
    ! [X2,X0,X1] :
      ( ~ next_subocc(X0,X1,X2)
      | min_precedes(X0,X1,X2) ),
    inference(cnf_transformation,[],[f90]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.13  % Problem    : PRO017+4 : TPTP v8.1.2. Released v4.0.0.
% 0.10/0.15  % 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
% 0.15/0.36  % Computer : n002.cluster.edu
% 0.15/0.36  % Model    : x86_64 x86_64
% 0.15/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36  % Memory   : 8042.1875MB
% 0.15/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36  % CPULimit   : 300
% 0.15/0.36  % WCLimit    : 300
% 0.15/0.36  % DateTime   : Fri May  3 20:37:38 EDT 2024
% 0.15/0.36  % CPUTime    : 
% 0.15/0.36  This is a FOF_THM_RFO_SEQ problem
% 0.15/0.36  Running vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t 300 /export/starexec/sandbox/tmp/tmp.e1lwZr7ArJ/Vampire---4.8_15711
% 0.58/0.76  % (15979)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)
% 0.58/0.76  % (15981)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)
% 0.58/0.76  % (15974)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)
% 0.58/0.76  % (15975)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)
% 0.58/0.76  % (15976)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.58/0.76  % (15977)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)
% 0.58/0.76  % (15978)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)
% 0.58/0.76  % (15980)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)
% 0.58/0.76  % (15981)Refutation not found, incomplete strategy% (15981)------------------------------
% 0.58/0.76  % (15981)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.58/0.76  % (15981)Termination reason: Refutation not found, incomplete strategy
% 0.58/0.76  
% 0.58/0.76  % (15981)Memory used [KB]: 1158
% 0.58/0.76  % (15981)Time elapsed: 0.006 s
% 0.58/0.76  % (15981)Instructions burned: 7 (million)
% 0.58/0.76  % (15981)------------------------------
% 0.58/0.76  % (15981)------------------------------
% 0.58/0.77  % (15982)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)
% 0.58/0.77  % (15979)Refutation not found, incomplete strategy% (15979)------------------------------
% 0.58/0.77  % (15979)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.58/0.77  % (15979)Termination reason: Refutation not found, incomplete strategy
% 0.58/0.77  
% 0.58/0.77  % (15979)Memory used [KB]: 1350
% 0.58/0.77  % (15979)Time elapsed: 0.013 s
% 0.58/0.77  % (15979)Instructions burned: 35 (million)
% 0.58/0.77  % (15979)------------------------------
% 0.58/0.77  % (15979)------------------------------
% 0.58/0.77  % (15983)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)
% 0.58/0.78  % (15977)Instruction limit reached!
% 0.58/0.78  % (15977)------------------------------
% 0.58/0.78  % (15977)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.58/0.78  % (15977)Termination reason: Unknown
% 0.58/0.78  % (15977)Termination phase: Saturation
% 0.58/0.78  
% 0.58/0.78  % (15977)Memory used [KB]: 1513
% 0.58/0.78  % (15977)Time elapsed: 0.022 s
% 0.58/0.78  % (15977)Instructions burned: 33 (million)
% 0.58/0.78  % (15977)------------------------------
% 0.58/0.78  % (15977)------------------------------
% 0.58/0.78  % (15978)Instruction limit reached!
% 0.58/0.78  % (15978)------------------------------
% 0.58/0.78  % (15978)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.58/0.78  % (15978)Termination reason: Unknown
% 0.58/0.78  % (15978)Termination phase: Saturation
% 0.58/0.78  
% 0.58/0.78  % (15978)Memory used [KB]: 1552
% 0.58/0.78  % (15978)Time elapsed: 0.023 s
% 0.58/0.78  % (15978)Instructions burned: 34 (million)
% 0.58/0.78  % (15978)------------------------------
% 0.58/0.78  % (15978)------------------------------
% 0.58/0.78  % (15974)Instruction limit reached!
% 0.58/0.78  % (15974)------------------------------
% 0.58/0.78  % (15974)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.58/0.78  % (15974)Termination reason: Unknown
% 0.58/0.78  % (15974)Termination phase: Saturation
% 0.58/0.78  
% 0.58/0.78  % (15974)Memory used [KB]: 1659
% 0.58/0.78  % (15974)Time elapsed: 0.024 s
% 0.58/0.78  % (15974)Instructions burned: 35 (million)
% 0.58/0.78  % (15974)------------------------------
% 0.58/0.78  % (15974)------------------------------
% 0.58/0.78  % (15984)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)
% 0.58/0.78  % (15985)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 (2995ds/52Mi)
% 0.58/0.78  % (15986)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 (2995ds/518Mi)
% 0.58/0.79  % (15983)Instruction limit reached!
% 0.58/0.79  % (15983)------------------------------
% 0.58/0.79  % (15983)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.58/0.79  % (15983)Termination reason: Unknown
% 0.58/0.79  % (15983)Termination phase: Saturation
% 0.58/0.79  
% 0.58/0.79  % (15983)Memory used [KB]: 1587
% 0.58/0.79  % (15983)Time elapsed: 0.018 s
% 0.58/0.79  % (15983)Instructions burned: 51 (million)
% 0.58/0.79  % (15983)------------------------------
% 0.58/0.79  % (15983)------------------------------
% 0.58/0.79  % (15975)Instruction limit reached!
% 0.58/0.79  % (15975)------------------------------
% 0.58/0.79  % (15975)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.58/0.79  % (15980)First to succeed.
% 0.58/0.79  % (15975)Termination reason: Unknown
% 0.58/0.79  % (15975)Termination phase: Saturation
% 0.58/0.79  
% 0.58/0.79  % (15975)Memory used [KB]: 1737
% 0.58/0.79  % (15975)Time elapsed: 0.034 s
% 0.58/0.79  % (15975)Instructions burned: 52 (million)
% 0.58/0.79  % (15975)------------------------------
% 0.58/0.79  % (15975)------------------------------
% 0.58/0.79  % (15980)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-15970"
% 0.58/0.79  % (15987)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 (2995ds/42Mi)
% 0.58/0.79  % (15980)Refutation found. Thanks to Tanya!
% 0.58/0.79  % SZS status Theorem for Vampire---4
% 0.58/0.79  % SZS output start Proof for Vampire---4
% See solution above
% 0.58/0.79  % (15980)------------------------------
% 0.58/0.79  % (15980)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.58/0.79  % (15980)Termination reason: Refutation
% 0.58/0.79  
% 0.58/0.79  % (15980)Memory used [KB]: 1583
% 0.58/0.79  % (15980)Time elapsed: 0.035 s
% 0.58/0.79  % (15980)Instructions burned: 55 (million)
% 0.58/0.79  % (15970)Success in time 0.415 s
% 0.81/0.79  % Vampire---4.8 exiting
%------------------------------------------------------------------------------