TSTP Solution File: PRO005+2 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : PRO005+2 : TPTP v8.1.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s

% Computer : n020.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 Aug 31 18:10:25 EDT 2022

% Result   : Theorem 3.64s 0.92s
% Output   : Refutation 3.64s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   18
%            Number of leaves      :   39
% Syntax   : Number of formulae    :  200 (  22 unt;   0 def)
%            Number of atoms       :  689 (  31 equ)
%            Maximal formula atoms :   12 (   3 avg)
%            Number of connectives :  755 ( 266   ~; 284   |; 151   &)
%                                         (  22 <=>;  32  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   10 (   5 avg)
%            Maximal term depth    :    5 (   1 avg)
%            Number of predicates  :   23 (  21 usr;  10 prp; 0-3 aty)
%            Number of functors    :   16 (  16 usr;   6 con; 0-3 aty)
%            Number of variables   :  332 ( 273   !;  59   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f3401,plain,
    $false,
    inference(avatar_sat_refutation,[],[f349,f434,f572,f619,f1718,f1775,f1782,f3362,f3384,f3400]) ).

fof(f3400,plain,
    ( ~ spl18_6
    | ~ spl18_90 ),
    inference(avatar_contradiction_clause,[],[f3399]) ).

fof(f3399,plain,
    ( $false
    | ~ spl18_6
    | ~ spl18_90 ),
    inference(subsumption_resolution,[],[f3398,f239]) ).

fof(f239,plain,
    tptp2 != tptp1,
    inference(cnf_transformation,[],[f44]) ).

fof(f44,axiom,
    tptp2 != tptp1,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_43) ).

fof(f3398,plain,
    ( tptp2 = tptp1
    | ~ spl18_6
    | ~ spl18_90 ),
    inference(backward_demodulation,[],[f476,f3395]) ).

fof(f3395,plain,
    ( tptp2 = sK13(sK16(sK11(sK4)))
    | ~ spl18_90 ),
    inference(resolution,[],[f3361,f402]) ).

fof(f402,plain,
    ! [X6,X7] :
      ( ~ occurrence_of(X7,X6)
      | sK13(X7) = X6 ),
    inference(subsumption_resolution,[],[f397,f251]) ).

fof(f251,plain,
    ! [X0,X1] :
      ( ~ occurrence_of(X0,X1)
      | activity_occurrence(X0) ),
    inference(cnf_transformation,[],[f174]) ).

fof(f174,plain,
    ! [X0,X1] :
      ( ( activity_occurrence(X0)
        & activity(X1) )
      | ~ occurrence_of(X0,X1) ),
    inference(rectify,[],[f130]) ).

fof(f130,plain,
    ! [X1,X0] :
      ( ( activity_occurrence(X1)
        & activity(X0) )
      | ~ occurrence_of(X1,X0) ),
    inference(ennf_transformation,[],[f71]) ).

fof(f71,plain,
    ! [X0,X1] :
      ( occurrence_of(X1,X0)
     => ( activity_occurrence(X1)
        & activity(X0) ) ),
    inference(rectify,[],[f30]) ).

fof(f30,axiom,
    ! [X89,X90] :
      ( occurrence_of(X90,X89)
     => ( activity(X89)
        & activity_occurrence(X90) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_29) ).

fof(f397,plain,
    ! [X6,X7] :
      ( sK13(X7) = X6
      | ~ activity_occurrence(X7)
      | ~ occurrence_of(X7,X6) ),
    inference(resolution,[],[f271,f258]) ).

fof(f258,plain,
    ! [X0] :
      ( occurrence_of(X0,sK13(X0))
      | ~ activity_occurrence(X0) ),
    inference(cnf_transformation,[],[f179]) ).

fof(f179,plain,
    ! [X0] :
      ( ( occurrence_of(X0,sK13(X0))
        & activity(sK13(X0)) )
      | ~ activity_occurrence(X0) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK13])],[f127,f178]) ).

fof(f178,plain,
    ! [X0] :
      ( ? [X1] :
          ( occurrence_of(X0,X1)
          & activity(X1) )
     => ( occurrence_of(X0,sK13(X0))
        & activity(sK13(X0)) ) ),
    introduced(choice_axiom,[]) ).

fof(f127,plain,
    ! [X0] :
      ( ? [X1] :
          ( occurrence_of(X0,X1)
          & activity(X1) )
      | ~ activity_occurrence(X0) ),
    inference(ennf_transformation,[],[f76]) ).

fof(f76,plain,
    ! [X0] :
      ( activity_occurrence(X0)
     => ? [X1] :
          ( occurrence_of(X0,X1)
          & activity(X1) ) ),
    inference(rectify,[],[f19]) ).

fof(f19,axiom,
    ! [X52] :
      ( activity_occurrence(X52)
     => ? [X53] :
          ( occurrence_of(X52,X53)
          & activity(X53) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_18) ).

fof(f271,plain,
    ! [X2,X0,X1] :
      ( ~ occurrence_of(X1,X2)
      | X0 = X2
      | ~ occurrence_of(X1,X0) ),
    inference(cnf_transformation,[],[f111]) ).

fof(f111,plain,
    ! [X0,X1,X2] :
      ( ~ occurrence_of(X1,X0)
      | X0 = X2
      | ~ occurrence_of(X1,X2) ),
    inference(flattening,[],[f110]) ).

fof(f110,plain,
    ! [X0,X1,X2] :
      ( X0 = X2
      | ~ occurrence_of(X1,X0)
      | ~ occurrence_of(X1,X2) ),
    inference(ennf_transformation,[],[f57]) ).

fof(f57,plain,
    ! [X0,X1,X2] :
      ( ( occurrence_of(X1,X0)
        & occurrence_of(X1,X2) )
     => X0 = X2 ),
    inference(rectify,[],[f23]) ).

fof(f23,axiom,
    ! [X66,X64,X65] :
      ( ( occurrence_of(X64,X65)
        & occurrence_of(X64,X66) )
     => X65 = X66 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_22) ).

fof(f3361,plain,
    ( occurrence_of(sK16(sK11(sK4)),tptp2)
    | ~ spl18_90 ),
    inference(avatar_component_clause,[],[f3359]) ).

fof(f3359,plain,
    ( spl18_90
  <=> occurrence_of(sK16(sK11(sK4)),tptp2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl18_90])]) ).

fof(f476,plain,
    ( tptp1 = sK13(sK16(sK11(sK4)))
    | ~ spl18_6 ),
    inference(subsumption_resolution,[],[f474,f441]) ).

fof(f441,plain,
    ( activity_occurrence(sK16(sK11(sK4)))
    | ~ spl18_6 ),
    inference(resolution,[],[f348,f251]) ).

fof(f348,plain,
    ( occurrence_of(sK16(sK11(sK4)),tptp1)
    | ~ spl18_6 ),
    inference(avatar_component_clause,[],[f346]) ).

fof(f346,plain,
    ( spl18_6
  <=> occurrence_of(sK16(sK11(sK4)),tptp1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl18_6])]) ).

fof(f474,plain,
    ( ~ activity_occurrence(sK16(sK11(sK4)))
    | tptp1 = sK13(sK16(sK11(sK4)))
    | ~ spl18_6 ),
    inference(resolution,[],[f438,f258]) ).

fof(f438,plain,
    ( ! [X0] :
        ( ~ occurrence_of(sK16(sK11(sK4)),X0)
        | tptp1 = X0 )
    | ~ spl18_6 ),
    inference(resolution,[],[f348,f271]) ).

fof(f3384,plain,
    ( ~ spl18_6
    | ~ spl18_89 ),
    inference(avatar_contradiction_clause,[],[f3383]) ).

fof(f3383,plain,
    ( $false
    | ~ spl18_6
    | ~ spl18_89 ),
    inference(subsumption_resolution,[],[f3382,f197]) ).

fof(f197,plain,
    tptp3 != tptp1,
    inference(cnf_transformation,[],[f43]) ).

fof(f43,axiom,
    tptp3 != tptp1,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_42) ).

fof(f3382,plain,
    ( tptp3 = tptp1
    | ~ spl18_6
    | ~ spl18_89 ),
    inference(backward_demodulation,[],[f476,f3379]) ).

fof(f3379,plain,
    ( tptp3 = sK13(sK16(sK11(sK4)))
    | ~ spl18_89 ),
    inference(resolution,[],[f3357,f402]) ).

fof(f3357,plain,
    ( occurrence_of(sK16(sK11(sK4)),tptp3)
    | ~ spl18_89 ),
    inference(avatar_component_clause,[],[f3355]) ).

fof(f3355,plain,
    ( spl18_89
  <=> occurrence_of(sK16(sK11(sK4)),tptp3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl18_89])]) ).

fof(f3362,plain,
    ( spl18_89
    | spl18_90
    | ~ spl18_14
    | ~ spl18_47 ),
    inference(avatar_split_clause,[],[f3353,f926,f566,f3359,f3355]) ).

fof(f566,plain,
    ( spl18_14
  <=> occurrence_of(sK14(tptp0,sK16(sK11(sK4)),sK11(sK4)),tptp0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl18_14])]) ).

fof(f926,plain,
    ( spl18_47
  <=> ! [X7] :
        ( sK16(sK11(sK4)) = X7
        | ~ leaf_occ(X7,sK14(tptp0,sK16(sK11(sK4)),sK11(sK4))) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl18_47])]) ).

fof(f3353,plain,
    ( occurrence_of(sK16(sK11(sK4)),tptp2)
    | occurrence_of(sK16(sK11(sK4)),tptp3)
    | ~ spl18_14
    | ~ spl18_47 ),
    inference(subsumption_resolution,[],[f3350,f567]) ).

fof(f567,plain,
    ( occurrence_of(sK14(tptp0,sK16(sK11(sK4)),sK11(sK4)),tptp0)
    | ~ spl18_14 ),
    inference(avatar_component_clause,[],[f566]) ).

fof(f3350,plain,
    ( ~ occurrence_of(sK14(tptp0,sK16(sK11(sK4)),sK11(sK4)),tptp0)
    | occurrence_of(sK16(sK11(sK4)),tptp3)
    | occurrence_of(sK16(sK11(sK4)),tptp2)
    | ~ spl18_14
    | ~ spl18_47 ),
    inference(superposition,[],[f242,f3235]) ).

fof(f3235,plain,
    ( sK16(sK11(sK4)) = sK10(sK14(tptp0,sK16(sK11(sK4)),sK11(sK4)))
    | ~ spl18_14
    | ~ spl18_47 ),
    inference(resolution,[],[f578,f927]) ).

fof(f927,plain,
    ( ! [X7] :
        ( ~ leaf_occ(X7,sK14(tptp0,sK16(sK11(sK4)),sK11(sK4)))
        | sK16(sK11(sK4)) = X7 )
    | ~ spl18_47 ),
    inference(avatar_component_clause,[],[f926]) ).

fof(f578,plain,
    ( leaf_occ(sK10(sK14(tptp0,sK16(sK11(sK4)),sK11(sK4))),sK14(tptp0,sK16(sK11(sK4)),sK11(sK4)))
    | ~ spl18_14 ),
    inference(resolution,[],[f567,f240]) ).

fof(f240,plain,
    ! [X0] :
      ( ~ occurrence_of(X0,tptp0)
      | leaf_occ(sK10(X0),X0) ),
    inference(cnf_transformation,[],[f171]) ).

fof(f171,plain,
    ! [X0] :
      ( ( next_subocc(sK11(X0),sK10(X0),tptp0)
        & root_occ(sK11(X0),X0)
        & ( occurrence_of(sK10(X0),tptp2)
          | occurrence_of(sK10(X0),tptp3) )
        & occurrence_of(sK11(X0),tptp4)
        & leaf_occ(sK10(X0),X0) )
      | ~ occurrence_of(X0,tptp0) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK10,sK11])],[f91,f170]) ).

fof(f170,plain,
    ! [X0] :
      ( ? [X1,X2] :
          ( next_subocc(X2,X1,tptp0)
          & root_occ(X2,X0)
          & ( occurrence_of(X1,tptp2)
            | occurrence_of(X1,tptp3) )
          & occurrence_of(X2,tptp4)
          & leaf_occ(X1,X0) )
     => ( next_subocc(sK11(X0),sK10(X0),tptp0)
        & root_occ(sK11(X0),X0)
        & ( occurrence_of(sK10(X0),tptp2)
          | occurrence_of(sK10(X0),tptp3) )
        & occurrence_of(sK11(X0),tptp4)
        & leaf_occ(sK10(X0),X0) ) ),
    introduced(choice_axiom,[]) ).

fof(f91,plain,
    ! [X0] :
      ( ? [X1,X2] :
          ( next_subocc(X2,X1,tptp0)
          & root_occ(X2,X0)
          & ( occurrence_of(X1,tptp2)
            | occurrence_of(X1,tptp3) )
          & occurrence_of(X2,tptp4)
          & leaf_occ(X1,X0) )
      | ~ occurrence_of(X0,tptp0) ),
    inference(ennf_transformation,[],[f60]) ).

fof(f60,plain,
    ! [X0] :
      ( occurrence_of(X0,tptp0)
     => ? [X1,X2] :
          ( next_subocc(X2,X1,tptp0)
          & root_occ(X2,X0)
          & ( occurrence_of(X1,tptp2)
            | occurrence_of(X1,tptp3) )
          & occurrence_of(X2,tptp4)
          & leaf_occ(X1,X0) ) ),
    inference(rectify,[],[f33]) ).

fof(f33,axiom,
    ! [X95] :
      ( occurrence_of(X95,tptp0)
     => ? [X97,X96] :
          ( root_occ(X96,X95)
          & next_subocc(X96,X97,tptp0)
          & leaf_occ(X97,X95)
          & ( occurrence_of(X97,tptp3)
            | occurrence_of(X97,tptp2) )
          & occurrence_of(X96,tptp4) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_32) ).

fof(f242,plain,
    ! [X0] :
      ( occurrence_of(sK10(X0),tptp2)
      | ~ occurrence_of(X0,tptp0)
      | occurrence_of(sK10(X0),tptp3) ),
    inference(cnf_transformation,[],[f171]) ).

fof(f1782,plain,
    ( spl18_46
    | spl18_47
    | ~ spl18_15 ),
    inference(avatar_split_clause,[],[f1720,f598,f926,f923]) ).

fof(f923,plain,
    ( spl18_46
  <=> ! [X6] :
        ( ~ occurrence_of(sK14(tptp0,sK16(sK11(sK4)),sK11(sK4)),X6)
        | atomic(X6) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl18_46])]) ).

fof(f598,plain,
    ( spl18_15
  <=> leaf_occ(sK16(sK11(sK4)),sK14(tptp0,sK16(sK11(sK4)),sK11(sK4))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl18_15])]) ).

fof(f1720,plain,
    ( ! [X0,X1] :
        ( ~ leaf_occ(X1,sK14(tptp0,sK16(sK11(sK4)),sK11(sK4)))
        | atomic(X0)
        | ~ occurrence_of(sK14(tptp0,sK16(sK11(sK4)),sK11(sK4)),X0)
        | sK16(sK11(sK4)) = X1 )
    | ~ spl18_15 ),
    inference(resolution,[],[f600,f204]) ).

fof(f204,plain,
    ! [X2,X3,X0,X1] :
      ( ~ leaf_occ(X3,X0)
      | atomic(X1)
      | ~ occurrence_of(X0,X1)
      | X2 = X3
      | ~ leaf_occ(X2,X0) ),
    inference(cnf_transformation,[],[f140]) ).

fof(f140,plain,
    ! [X0,X1,X2,X3] :
      ( ~ occurrence_of(X0,X1)
      | atomic(X1)
      | ~ leaf_occ(X2,X0)
      | ~ leaf_occ(X3,X0)
      | X2 = X3 ),
    inference(rectify,[],[f100]) ).

fof(f100,plain,
    ! [X0,X2,X3,X1] :
      ( ~ occurrence_of(X0,X2)
      | atomic(X2)
      | ~ leaf_occ(X3,X0)
      | ~ leaf_occ(X1,X0)
      | X1 = X3 ),
    inference(flattening,[],[f99]) ).

fof(f99,plain,
    ! [X3,X2,X1,X0] :
      ( X1 = X3
      | ~ occurrence_of(X0,X2)
      | atomic(X2)
      | ~ leaf_occ(X3,X0)
      | ~ leaf_occ(X1,X0) ),
    inference(ennf_transformation,[],[f51]) ).

fof(f51,plain,
    ! [X3,X2,X1,X0] :
      ( ( occurrence_of(X0,X2)
        & ~ atomic(X2)
        & leaf_occ(X3,X0)
        & leaf_occ(X1,X0) )
     => X1 = X3 ),
    inference(rectify,[],[f4]) ).

fof(f4,axiom,
    ! [X13,X11,X14,X12] :
      ( ( leaf_occ(X12,X13)
        & ~ atomic(X14)
        & occurrence_of(X13,X14)
        & leaf_occ(X11,X13) )
     => X11 = X12 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_03) ).

fof(f600,plain,
    ( leaf_occ(sK16(sK11(sK4)),sK14(tptp0,sK16(sK11(sK4)),sK11(sK4)))
    | ~ spl18_15 ),
    inference(avatar_component_clause,[],[f598]) ).

fof(f1775,plain,
    ( spl18_5
    | ~ spl18_46 ),
    inference(avatar_contradiction_clause,[],[f1774]) ).

fof(f1774,plain,
    ( $false
    | spl18_5
    | ~ spl18_46 ),
    inference(subsumption_resolution,[],[f1773,f269]) ).

fof(f269,plain,
    ~ atomic(tptp0),
    inference(cnf_transformation,[],[f35]) ).

fof(f35,axiom,
    ~ atomic(tptp0),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_34) ).

fof(f1773,plain,
    ( atomic(tptp0)
    | spl18_5
    | ~ spl18_46 ),
    inference(subsumption_resolution,[],[f1763,f446]) ).

fof(f446,plain,
    ( min_precedes(sK11(sK4),sK16(sK11(sK4)),tptp0)
    | spl18_5 ),
    inference(resolution,[],[f437,f224]) ).

fof(f224,plain,
    ! [X2,X0,X1] :
      ( ~ next_subocc(X1,X0,X2)
      | min_precedes(X1,X0,X2) ),
    inference(cnf_transformation,[],[f158]) ).

fof(f158,plain,
    ! [X0,X1,X2] :
      ( ( ( ! [X3] :
              ( ~ min_precedes(X3,X0,X2)
              | ~ min_precedes(X1,X3,X2) )
          & min_precedes(X1,X0,X2) )
        | ~ next_subocc(X1,X0,X2) )
      & ( next_subocc(X1,X0,X2)
        | ( min_precedes(sK7(X0,X1,X2),X0,X2)
          & min_precedes(X1,sK7(X0,X1,X2),X2) )
        | ~ min_precedes(X1,X0,X2) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK7])],[f156,f157]) ).

fof(f157,plain,
    ! [X0,X1,X2] :
      ( ? [X4] :
          ( min_precedes(X4,X0,X2)
          & min_precedes(X1,X4,X2) )
     => ( min_precedes(sK7(X0,X1,X2),X0,X2)
        & min_precedes(X1,sK7(X0,X1,X2),X2) ) ),
    introduced(choice_axiom,[]) ).

fof(f156,plain,
    ! [X0,X1,X2] :
      ( ( ( ! [X3] :
              ( ~ min_precedes(X3,X0,X2)
              | ~ min_precedes(X1,X3,X2) )
          & min_precedes(X1,X0,X2) )
        | ~ next_subocc(X1,X0,X2) )
      & ( next_subocc(X1,X0,X2)
        | ? [X4] :
            ( min_precedes(X4,X0,X2)
            & min_precedes(X1,X4,X2) )
        | ~ min_precedes(X1,X0,X2) ) ),
    inference(rectify,[],[f155]) ).

fof(f155,plain,
    ! [X1,X0,X2] :
      ( ( ( ! [X3] :
              ( ~ min_precedes(X3,X1,X2)
              | ~ min_precedes(X0,X3,X2) )
          & min_precedes(X0,X1,X2) )
        | ~ next_subocc(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(flattening,[],[f154]) ).

fof(f154,plain,
    ! [X1,X0,X2] :
      ( ( ( ! [X3] :
              ( ~ min_precedes(X3,X1,X2)
              | ~ min_precedes(X0,X3,X2) )
          & min_precedes(X0,X1,X2) )
        | ~ next_subocc(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(nnf_transformation,[],[f101]) ).

fof(f101,plain,
    ! [X1,X0,X2] :
      ( ( ! [X3] :
            ( ~ min_precedes(X3,X1,X2)
            | ~ min_precedes(X0,X3,X2) )
        & min_precedes(X0,X1,X2) )
    <=> next_subocc(X0,X1,X2) ),
    inference(ennf_transformation,[],[f55]) ).

fof(f55,plain,
    ! [X2,X0,X1] :
      ( ( min_precedes(X0,X1,X2)
        & ~ ? [X3] :
              ( min_precedes(X3,X1,X2)
              & min_precedes(X0,X3,X2) ) )
    <=> next_subocc(X0,X1,X2) ),
    inference(rectify,[],[f5]) ).

fof(f5,axiom,
    ! [X15,X16,X17] :
      ( ( min_precedes(X15,X16,X17)
        & ~ ? [X18] :
              ( min_precedes(X15,X18,X17)
              & min_precedes(X18,X16,X17) ) )
    <=> next_subocc(X15,X16,X17) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_04) ).

fof(f437,plain,
    ( next_subocc(sK11(sK4),sK16(sK11(sK4)),tptp0)
    | spl18_5 ),
    inference(subsumption_resolution,[],[f436,f311]) ).

fof(f311,plain,
    arboreal(sK11(sK4)),
    inference(resolution,[],[f309,f263]) ).

fof(f263,plain,
    ! [X2,X0,X1] :
      ( ~ next_subocc(X1,X2,X0)
      | arboreal(X1) ),
    inference(cnf_transformation,[],[f122]) ).

fof(f122,plain,
    ! [X0,X1,X2] :
      ( ( arboreal(X2)
        & arboreal(X1) )
      | ~ next_subocc(X1,X2,X0) ),
    inference(ennf_transformation,[],[f73]) ).

fof(f73,plain,
    ! [X0,X1,X2] :
      ( next_subocc(X1,X2,X0)
     => ( arboreal(X2)
        & arboreal(X1) ) ),
    inference(rectify,[],[f6]) ).

fof(f6,axiom,
    ! [X21,X19,X20] :
      ( next_subocc(X19,X20,X21)
     => ( arboreal(X19)
        & arboreal(X20) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_05) ).

fof(f309,plain,
    next_subocc(sK11(sK4),sK10(sK4),tptp0),
    inference(resolution,[],[f244,f212]) ).

fof(f212,plain,
    occurrence_of(sK4,tptp0),
    inference(cnf_transformation,[],[f149]) ).

fof(f149,plain,
    occurrence_of(sK4,tptp0),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK4])],[f79,f148]) ).

fof(f148,plain,
    ( ? [X0] : occurrence_of(X0,tptp0)
   => occurrence_of(sK4,tptp0) ),
    introduced(choice_axiom,[]) ).

fof(f79,plain,
    ? [X0] : occurrence_of(X0,tptp0),
    inference(flattening,[],[f78]) ).

fof(f78,plain,
    ~ ~ ? [X0] : occurrence_of(X0,tptp0),
    inference(rectify,[],[f49]) ).

fof(f49,negated_conjecture,
    ~ ~ ? [X103] : occurrence_of(X103,tptp0),
    inference(negated_conjecture,[],[f48]) ).

fof(f48,conjecture,
    ~ ? [X103] : occurrence_of(X103,tptp0),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',goals) ).

fof(f244,plain,
    ! [X0] :
      ( ~ occurrence_of(X0,tptp0)
      | next_subocc(sK11(X0),sK10(X0),tptp0) ),
    inference(cnf_transformation,[],[f171]) ).

fof(f436,plain,
    ( next_subocc(sK11(sK4),sK16(sK11(sK4)),tptp0)
    | ~ arboreal(sK11(sK4))
    | spl18_5 ),
    inference(subsumption_resolution,[],[f435,f343]) ).

fof(f343,plain,
    ( ~ leaf_occ(sK11(sK4),sK4)
    | spl18_5 ),
    inference(avatar_component_clause,[],[f342]) ).

fof(f342,plain,
    ( spl18_5
  <=> leaf_occ(sK11(sK4),sK4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl18_5])]) ).

fof(f435,plain,
    ( leaf_occ(sK11(sK4),sK4)
    | ~ arboreal(sK11(sK4))
    | next_subocc(sK11(sK4),sK16(sK11(sK4)),tptp0) ),
    inference(subsumption_resolution,[],[f364,f212]) ).

fof(f364,plain,
    ( ~ occurrence_of(sK4,tptp0)
    | leaf_occ(sK11(sK4),sK4)
    | next_subocc(sK11(sK4),sK16(sK11(sK4)),tptp0)
    | ~ arboreal(sK11(sK4)) ),
    inference(resolution,[],[f274,f302]) ).

fof(f302,plain,
    subactivity_occurrence(sK11(sK4),sK4),
    inference(resolution,[],[f301,f266]) ).

fof(f266,plain,
    ! [X0,X1] :
      ( ~ root_occ(X0,X1)
      | subactivity_occurrence(X0,X1) ),
    inference(cnf_transformation,[],[f187]) ).

fof(f187,plain,
    ! [X0,X1] :
      ( ( root_occ(X0,X1)
        | ! [X2] :
            ( ~ root(X0,X2)
            | ~ subactivity_occurrence(X0,X1)
            | ~ occurrence_of(X1,X2) ) )
      & ( ( root(X0,sK15(X0,X1))
          & subactivity_occurrence(X0,X1)
          & occurrence_of(X1,sK15(X0,X1)) )
        | ~ root_occ(X0,X1) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK15])],[f185,f186]) ).

fof(f186,plain,
    ! [X0,X1] :
      ( ? [X3] :
          ( root(X0,X3)
          & subactivity_occurrence(X0,X1)
          & occurrence_of(X1,X3) )
     => ( root(X0,sK15(X0,X1))
        & subactivity_occurrence(X0,X1)
        & occurrence_of(X1,sK15(X0,X1)) ) ),
    introduced(choice_axiom,[]) ).

fof(f185,plain,
    ! [X0,X1] :
      ( ( root_occ(X0,X1)
        | ! [X2] :
            ( ~ root(X0,X2)
            | ~ subactivity_occurrence(X0,X1)
            | ~ occurrence_of(X1,X2) ) )
      & ( ? [X3] :
            ( root(X0,X3)
            & subactivity_occurrence(X0,X1)
            & occurrence_of(X1,X3) )
        | ~ root_occ(X0,X1) ) ),
    inference(rectify,[],[f184]) ).

fof(f184,plain,
    ! [X0,X1] :
      ( ( root_occ(X0,X1)
        | ! [X2] :
            ( ~ root(X0,X2)
            | ~ subactivity_occurrence(X0,X1)
            | ~ occurrence_of(X1,X2) ) )
      & ( ? [X2] :
            ( root(X0,X2)
            & subactivity_occurrence(X0,X1)
            & occurrence_of(X1,X2) )
        | ~ root_occ(X0,X1) ) ),
    inference(nnf_transformation,[],[f64]) ).

fof(f64,plain,
    ! [X0,X1] :
      ( root_occ(X0,X1)
    <=> ? [X2] :
          ( root(X0,X2)
          & subactivity_occurrence(X0,X1)
          & occurrence_of(X1,X2) ) ),
    inference(rectify,[],[f11]) ).

fof(f11,axiom,
    ! [X32,X33] :
      ( root_occ(X32,X33)
    <=> ? [X34] :
          ( root(X32,X34)
          & occurrence_of(X33,X34)
          & subactivity_occurrence(X32,X33) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_10) ).

fof(f301,plain,
    root_occ(sK11(sK4),sK4),
    inference(resolution,[],[f243,f212]) ).

fof(f243,plain,
    ! [X0] :
      ( ~ occurrence_of(X0,tptp0)
      | root_occ(sK11(X0),X0) ),
    inference(cnf_transformation,[],[f171]) ).

fof(f274,plain,
    ! [X0,X1] :
      ( ~ subactivity_occurrence(X0,X1)
      | leaf_occ(X0,X1)
      | next_subocc(X0,sK16(X0),tptp0)
      | ~ occurrence_of(X1,tptp0)
      | ~ arboreal(X0) ),
    inference(cnf_transformation,[],[f191]) ).

fof(f191,plain,
    ! [X0,X1] :
      ( ( occurrence_of(sK16(X0),tptp1)
        & next_subocc(X0,sK16(X0),tptp0) )
      | leaf_occ(X0,X1)
      | ~ subactivity_occurrence(X0,X1)
      | ~ arboreal(X0)
      | ~ occurrence_of(X1,tptp0) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK16])],[f189,f190]) ).

fof(f190,plain,
    ! [X0] :
      ( ? [X2] :
          ( occurrence_of(X2,tptp1)
          & next_subocc(X0,X2,tptp0) )
     => ( occurrence_of(sK16(X0),tptp1)
        & next_subocc(X0,sK16(X0),tptp0) ) ),
    introduced(choice_axiom,[]) ).

fof(f189,plain,
    ! [X0,X1] :
      ( ? [X2] :
          ( occurrence_of(X2,tptp1)
          & next_subocc(X0,X2,tptp0) )
      | leaf_occ(X0,X1)
      | ~ subactivity_occurrence(X0,X1)
      | ~ arboreal(X0)
      | ~ occurrence_of(X1,tptp0) ),
    inference(rectify,[],[f109]) ).

fof(f109,plain,
    ! [X1,X0] :
      ( ? [X2] :
          ( occurrence_of(X2,tptp1)
          & next_subocc(X1,X2,tptp0) )
      | leaf_occ(X1,X0)
      | ~ subactivity_occurrence(X1,X0)
      | ~ arboreal(X1)
      | ~ occurrence_of(X0,tptp0) ),
    inference(flattening,[],[f108]) ).

fof(f108,plain,
    ! [X0,X1] :
      ( ? [X2] :
          ( occurrence_of(X2,tptp1)
          & next_subocc(X1,X2,tptp0) )
      | ~ arboreal(X1)
      | leaf_occ(X1,X0)
      | ~ subactivity_occurrence(X1,X0)
      | ~ occurrence_of(X0,tptp0) ),
    inference(ennf_transformation,[],[f82]) ).

fof(f82,plain,
    ! [X0,X1] :
      ( ( arboreal(X1)
        & ~ leaf_occ(X1,X0)
        & subactivity_occurrence(X1,X0)
        & occurrence_of(X0,tptp0) )
     => ? [X2] :
          ( occurrence_of(X2,tptp1)
          & next_subocc(X1,X2,tptp0) ) ),
    inference(rectify,[],[f47]) ).

fof(f47,axiom,
    ! [X101,X100] :
      ( ( arboreal(X100)
        & occurrence_of(X101,tptp0)
        & subactivity_occurrence(X100,X101)
        & ~ leaf_occ(X100,X101) )
     => ? [X102] :
          ( next_subocc(X100,X102,tptp0)
          & occurrence_of(X102,tptp1) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_46) ).

fof(f1763,plain,
    ( ~ min_precedes(sK11(sK4),sK16(sK11(sK4)),tptp0)
    | atomic(tptp0)
    | ~ spl18_46 ),
    inference(resolution,[],[f924,f260]) ).

fof(f260,plain,
    ! [X2,X0,X1] :
      ( occurrence_of(sK14(X0,X1,X2),X0)
      | ~ min_precedes(X2,X1,X0) ),
    inference(cnf_transformation,[],[f183]) ).

fof(f183,plain,
    ! [X0,X1,X2] :
      ( ( subactivity_occurrence(X1,sK14(X0,X1,X2))
        & subactivity_occurrence(X2,sK14(X0,X1,X2))
        & occurrence_of(sK14(X0,X1,X2),X0) )
      | ~ min_precedes(X2,X1,X0) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK14])],[f181,f182]) ).

fof(f182,plain,
    ! [X0,X1,X2] :
      ( ? [X3] :
          ( subactivity_occurrence(X1,X3)
          & subactivity_occurrence(X2,X3)
          & occurrence_of(X3,X0) )
     => ( subactivity_occurrence(X1,sK14(X0,X1,X2))
        & subactivity_occurrence(X2,sK14(X0,X1,X2))
        & occurrence_of(sK14(X0,X1,X2),X0) ) ),
    introduced(choice_axiom,[]) ).

fof(f181,plain,
    ! [X0,X1,X2] :
      ( ? [X3] :
          ( subactivity_occurrence(X1,X3)
          & subactivity_occurrence(X2,X3)
          & occurrence_of(X3,X0) )
      | ~ min_precedes(X2,X1,X0) ),
    inference(rectify,[],[f123]) ).

fof(f123,plain,
    ! [X0,X2,X1] :
      ( ? [X3] :
          ( subactivity_occurrence(X2,X3)
          & subactivity_occurrence(X1,X3)
          & occurrence_of(X3,X0) )
      | ~ min_precedes(X1,X2,X0) ),
    inference(ennf_transformation,[],[f80]) ).

fof(f80,plain,
    ! [X2,X1,X0] :
      ( min_precedes(X1,X2,X0)
     => ? [X3] :
          ( subactivity_occurrence(X2,X3)
          & subactivity_occurrence(X1,X3)
          & occurrence_of(X3,X0) ) ),
    inference(rectify,[],[f25]) ).

fof(f25,axiom,
    ! [X70,X71,X72] :
      ( min_precedes(X71,X72,X70)
     => ? [X73] :
          ( subactivity_occurrence(X72,X73)
          & subactivity_occurrence(X71,X73)
          & occurrence_of(X73,X70) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_24) ).

fof(f924,plain,
    ( ! [X6] :
        ( ~ occurrence_of(sK14(tptp0,sK16(sK11(sK4)),sK11(sK4)),X6)
        | atomic(X6) )
    | ~ spl18_46 ),
    inference(avatar_component_clause,[],[f923]) ).

fof(f1718,plain,
    ( spl18_5
    | ~ spl18_14
    | ~ spl18_18 ),
    inference(avatar_contradiction_clause,[],[f1717]) ).

fof(f1717,plain,
    ( $false
    | spl18_5
    | ~ spl18_14
    | ~ spl18_18 ),
    inference(subsumption_resolution,[],[f1706,f567]) ).

fof(f1706,plain,
    ( ~ occurrence_of(sK14(tptp0,sK16(sK11(sK4)),sK11(sK4)),tptp0)
    | spl18_5
    | ~ spl18_18 ),
    inference(resolution,[],[f618,f450]) ).

fof(f450,plain,
    ( ! [X1] :
        ( ~ root_occ(sK16(sK11(sK4)),X1)
        | ~ occurrence_of(X1,tptp0) )
    | spl18_5 ),
    inference(resolution,[],[f446,f221]) ).

fof(f221,plain,
    ! [X2,X3,X0,X1] :
      ( ~ min_precedes(X3,X2,X0)
      | ~ root_occ(X2,X1)
      | ~ occurrence_of(X1,X0) ),
    inference(cnf_transformation,[],[f153]) ).

fof(f153,plain,
    ! [X0,X1,X2] :
      ( ! [X3] : ~ min_precedes(X3,X2,X0)
      | ~ occurrence_of(X1,X0)
      | ~ root_occ(X2,X1) ),
    inference(rectify,[],[f117]) ).

fof(f117,plain,
    ! [X2,X0,X1] :
      ( ! [X3] : ~ min_precedes(X3,X1,X2)
      | ~ occurrence_of(X0,X2)
      | ~ root_occ(X1,X0) ),
    inference(flattening,[],[f116]) ).

fof(f116,plain,
    ! [X0,X1,X2] :
      ( ! [X3] : ~ min_precedes(X3,X1,X2)
      | ~ root_occ(X1,X0)
      | ~ occurrence_of(X0,X2) ),
    inference(ennf_transformation,[],[f72]) ).

fof(f72,plain,
    ! [X0,X1,X2] :
      ( ( root_occ(X1,X0)
        & occurrence_of(X0,X2) )
     => ~ ? [X3] : min_precedes(X3,X1,X2) ),
    inference(rectify,[],[f21]) ).

fof(f21,axiom,
    ! [X56,X57,X58] :
      ( ( occurrence_of(X56,X58)
        & root_occ(X57,X56) )
     => ~ ? [X59] : min_precedes(X59,X57,X58) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_20) ).

fof(f618,plain,
    ( root_occ(sK16(sK11(sK4)),sK14(tptp0,sK16(sK11(sK4)),sK11(sK4)))
    | ~ spl18_18 ),
    inference(avatar_component_clause,[],[f616]) ).

fof(f616,plain,
    ( spl18_18
  <=> root_occ(sK16(sK11(sK4)),sK14(tptp0,sK16(sK11(sK4)),sK11(sK4))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl18_18])]) ).

fof(f619,plain,
    ( spl18_15
    | spl18_18
    | spl18_5
    | ~ spl18_6
    | ~ spl18_14 ),
    inference(avatar_split_clause,[],[f614,f566,f346,f342,f616,f598]) ).

fof(f614,plain,
    ( root_occ(sK16(sK11(sK4)),sK14(tptp0,sK16(sK11(sK4)),sK11(sK4)))
    | leaf_occ(sK16(sK11(sK4)),sK14(tptp0,sK16(sK11(sK4)),sK11(sK4)))
    | spl18_5
    | ~ spl18_6
    | ~ spl18_14 ),
    inference(subsumption_resolution,[],[f613,f567]) ).

fof(f613,plain,
    ( ~ occurrence_of(sK14(tptp0,sK16(sK11(sK4)),sK11(sK4)),tptp0)
    | root_occ(sK16(sK11(sK4)),sK14(tptp0,sK16(sK11(sK4)),sK11(sK4)))
    | leaf_occ(sK16(sK11(sK4)),sK14(tptp0,sK16(sK11(sK4)),sK11(sK4)))
    | spl18_5
    | ~ spl18_6 ),
    inference(subsumption_resolution,[],[f592,f443]) ).

fof(f443,plain,
    ( arboreal(sK16(sK11(sK4)))
    | ~ spl18_6 ),
    inference(subsumption_resolution,[],[f439,f249]) ).

fof(f249,plain,
    atomic(tptp1),
    inference(cnf_transformation,[],[f39]) ).

fof(f39,axiom,
    atomic(tptp1),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_38) ).

fof(f439,plain,
    ( ~ atomic(tptp1)
    | arboreal(sK16(sK11(sK4)))
    | ~ spl18_6 ),
    inference(resolution,[],[f348,f231]) ).

fof(f231,plain,
    ! [X0,X1] :
      ( ~ occurrence_of(X0,X1)
      | arboreal(X0)
      | ~ atomic(X1) ),
    inference(cnf_transformation,[],[f164]) ).

fof(f164,plain,
    ! [X0,X1] :
      ( ( ( arboreal(X0)
          | ~ atomic(X1) )
        & ( atomic(X1)
          | ~ arboreal(X0) ) )
      | ~ occurrence_of(X0,X1) ),
    inference(rectify,[],[f163]) ).

fof(f163,plain,
    ! [X1,X0] :
      ( ( ( arboreal(X1)
          | ~ atomic(X0) )
        & ( atomic(X0)
          | ~ arboreal(X1) ) )
      | ~ occurrence_of(X1,X0) ),
    inference(nnf_transformation,[],[f124]) ).

fof(f124,plain,
    ! [X1,X0] :
      ( ( arboreal(X1)
      <=> atomic(X0) )
      | ~ occurrence_of(X1,X0) ),
    inference(ennf_transformation,[],[f63]) ).

fof(f63,plain,
    ! [X1,X0] :
      ( occurrence_of(X1,X0)
     => ( arboreal(X1)
      <=> atomic(X0) ) ),
    inference(rectify,[],[f14]) ).

fof(f14,axiom,
    ! [X41,X40] :
      ( occurrence_of(X40,X41)
     => ( atomic(X41)
      <=> arboreal(X40) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_13) ).

fof(f592,plain,
    ( ~ arboreal(sK16(sK11(sK4)))
    | root_occ(sK16(sK11(sK4)),sK14(tptp0,sK16(sK11(sK4)),sK11(sK4)))
    | leaf_occ(sK16(sK11(sK4)),sK14(tptp0,sK16(sK11(sK4)),sK11(sK4)))
    | ~ occurrence_of(sK14(tptp0,sK16(sK11(sK4)),sK11(sK4)),tptp0)
    | spl18_5 ),
    inference(resolution,[],[f499,f216]) ).

fof(f216,plain,
    ! [X0,X1] :
      ( ~ subactivity_occurrence(X0,X1)
      | leaf_occ(X0,X1)
      | ~ occurrence_of(X1,tptp0)
      | ~ arboreal(X0)
      | root_occ(X0,X1) ),
    inference(cnf_transformation,[],[f129]) ).

fof(f129,plain,
    ! [X0,X1] :
      ( ~ subactivity_occurrence(X0,X1)
      | root_occ(X0,X1)
      | ~ arboreal(X0)
      | leaf_occ(X0,X1)
      | ~ occurrence_of(X1,tptp0) ),
    inference(flattening,[],[f128]) ).

fof(f128,plain,
    ! [X1,X0] :
      ( root_occ(X0,X1)
      | leaf_occ(X0,X1)
      | ~ subactivity_occurrence(X0,X1)
      | ~ arboreal(X0)
      | ~ occurrence_of(X1,tptp0) ),
    inference(ennf_transformation,[],[f69]) ).

fof(f69,plain,
    ! [X1,X0] :
      ( ( ~ leaf_occ(X0,X1)
        & subactivity_occurrence(X0,X1)
        & arboreal(X0)
        & occurrence_of(X1,tptp0) )
     => root_occ(X0,X1) ),
    inference(rectify,[],[f46]) ).

fof(f46,axiom,
    ! [X98,X99] :
      ( ( occurrence_of(X99,tptp0)
        & ~ leaf_occ(X98,X99)
        & arboreal(X98)
        & subactivity_occurrence(X98,X99) )
     => root_occ(X98,X99) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_45) ).

fof(f499,plain,
    ( subactivity_occurrence(sK16(sK11(sK4)),sK14(tptp0,sK16(sK11(sK4)),sK11(sK4)))
    | spl18_5 ),
    inference(resolution,[],[f262,f446]) ).

fof(f262,plain,
    ! [X2,X0,X1] :
      ( ~ min_precedes(X2,X1,X0)
      | subactivity_occurrence(X1,sK14(X0,X1,X2)) ),
    inference(cnf_transformation,[],[f183]) ).

fof(f572,plain,
    ( spl18_5
    | spl18_14 ),
    inference(avatar_contradiction_clause,[],[f571]) ).

fof(f571,plain,
    ( $false
    | spl18_5
    | spl18_14 ),
    inference(subsumption_resolution,[],[f570,f446]) ).

fof(f570,plain,
    ( ~ min_precedes(sK11(sK4),sK16(sK11(sK4)),tptp0)
    | spl18_14 ),
    inference(resolution,[],[f568,f260]) ).

fof(f568,plain,
    ( ~ occurrence_of(sK14(tptp0,sK16(sK11(sK4)),sK11(sK4)),tptp0)
    | spl18_14 ),
    inference(avatar_component_clause,[],[f566]) ).

fof(f434,plain,
    ~ spl18_5,
    inference(avatar_contradiction_clause,[],[f433]) ).

fof(f433,plain,
    ( $false
    | ~ spl18_5 ),
    inference(subsumption_resolution,[],[f432,f353]) ).

fof(f353,plain,
    ~ leaf(sK11(sK4),tptp0),
    inference(resolution,[],[f351,f208]) ).

fof(f208,plain,
    ! [X2,X0,X1] :
      ( ~ min_precedes(X1,X2,X0)
      | ~ leaf(X1,X0) ),
    inference(cnf_transformation,[],[f146]) ).

fof(f146,plain,
    ! [X0,X1] :
      ( ( ( ! [X2] : ~ min_precedes(X1,X2,X0)
          & ( min_precedes(sK2(X0,X1),X1,X0)
            | root(X1,X0) ) )
        | ~ leaf(X1,X0) )
      & ( leaf(X1,X0)
        | min_precedes(X1,sK3(X0,X1),X0)
        | ( ! [X5] : ~ min_precedes(X5,X1,X0)
          & ~ root(X1,X0) ) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK2,sK3])],[f143,f145,f144]) ).

fof(f144,plain,
    ! [X0,X1] :
      ( ? [X3] : min_precedes(X3,X1,X0)
     => min_precedes(sK2(X0,X1),X1,X0) ),
    introduced(choice_axiom,[]) ).

fof(f145,plain,
    ! [X0,X1] :
      ( ? [X4] : min_precedes(X1,X4,X0)
     => min_precedes(X1,sK3(X0,X1),X0) ),
    introduced(choice_axiom,[]) ).

fof(f143,plain,
    ! [X0,X1] :
      ( ( ( ! [X2] : ~ min_precedes(X1,X2,X0)
          & ( ? [X3] : min_precedes(X3,X1,X0)
            | root(X1,X0) ) )
        | ~ leaf(X1,X0) )
      & ( leaf(X1,X0)
        | ? [X4] : min_precedes(X1,X4,X0)
        | ( ! [X5] : ~ min_precedes(X5,X1,X0)
          & ~ root(X1,X0) ) ) ),
    inference(rectify,[],[f142]) ).

fof(f142,plain,
    ! [X1,X0] :
      ( ( ( ! [X2] : ~ min_precedes(X0,X2,X1)
          & ( ? [X3] : min_precedes(X3,X0,X1)
            | root(X0,X1) ) )
        | ~ leaf(X0,X1) )
      & ( leaf(X0,X1)
        | ? [X2] : min_precedes(X0,X2,X1)
        | ( ! [X3] : ~ min_precedes(X3,X0,X1)
          & ~ root(X0,X1) ) ) ),
    inference(flattening,[],[f141]) ).

fof(f141,plain,
    ! [X1,X0] :
      ( ( ( ! [X2] : ~ min_precedes(X0,X2,X1)
          & ( ? [X3] : min_precedes(X3,X0,X1)
            | root(X0,X1) ) )
        | ~ leaf(X0,X1) )
      & ( leaf(X0,X1)
        | ? [X2] : min_precedes(X0,X2,X1)
        | ( ! [X3] : ~ min_precedes(X3,X0,X1)
          & ~ root(X0,X1) ) ) ),
    inference(nnf_transformation,[],[f98]) ).

fof(f98,plain,
    ! [X1,X0] :
      ( ( ! [X2] : ~ min_precedes(X0,X2,X1)
        & ( ? [X3] : min_precedes(X3,X0,X1)
          | root(X0,X1) ) )
    <=> leaf(X0,X1) ),
    inference(ennf_transformation,[],[f66]) ).

fof(f66,plain,
    ! [X1,X0] :
      ( leaf(X0,X1)
    <=> ( ~ ? [X2] : min_precedes(X0,X2,X1)
        & ( ? [X3] : min_precedes(X3,X0,X1)
          | root(X0,X1) ) ) ),
    inference(rectify,[],[f15]) ).

fof(f15,axiom,
    ! [X42,X43] :
      ( ( ~ ? [X45] : min_precedes(X42,X45,X43)
        & ( root(X42,X43)
          | ? [X44] : min_precedes(X44,X42,X43) ) )
    <=> leaf(X42,X43) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_14) ).

fof(f351,plain,
    min_precedes(sK11(sK4),sK10(sK4),tptp0),
    inference(resolution,[],[f224,f309]) ).

fof(f432,plain,
    ( leaf(sK11(sK4),tptp0)
    | ~ spl18_5 ),
    inference(subsumption_resolution,[],[f429,f344]) ).

fof(f344,plain,
    ( leaf_occ(sK11(sK4),sK4)
    | ~ spl18_5 ),
    inference(avatar_component_clause,[],[f342]) ).

fof(f429,plain,
    ( ~ leaf_occ(sK11(sK4),sK4)
    | leaf(sK11(sK4),tptp0)
    | ~ spl18_5 ),
    inference(superposition,[],[f235,f424]) ).

fof(f424,plain,
    ( tptp0 = sK9(sK11(sK4),sK4)
    | ~ spl18_5 ),
    inference(resolution,[],[f405,f344]) ).

fof(f405,plain,
    ! [X1] :
      ( ~ leaf_occ(X1,sK4)
      | tptp0 = sK9(X1,sK4) ),
    inference(resolution,[],[f399,f234]) ).

fof(f234,plain,
    ! [X0,X1] :
      ( occurrence_of(X1,sK9(X0,X1))
      | ~ leaf_occ(X0,X1) ),
    inference(cnf_transformation,[],[f168]) ).

fof(f168,plain,
    ! [X0,X1] :
      ( ( ( leaf(X0,sK9(X0,X1))
          & occurrence_of(X1,sK9(X0,X1))
          & subactivity_occurrence(X0,X1) )
        | ~ leaf_occ(X0,X1) )
      & ( leaf_occ(X0,X1)
        | ! [X3] :
            ( ~ leaf(X0,X3)
            | ~ occurrence_of(X1,X3)
            | ~ subactivity_occurrence(X0,X1) ) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK9])],[f166,f167]) ).

fof(f167,plain,
    ! [X0,X1] :
      ( ? [X2] :
          ( leaf(X0,X2)
          & occurrence_of(X1,X2)
          & subactivity_occurrence(X0,X1) )
     => ( leaf(X0,sK9(X0,X1))
        & occurrence_of(X1,sK9(X0,X1))
        & subactivity_occurrence(X0,X1) ) ),
    introduced(choice_axiom,[]) ).

fof(f166,plain,
    ! [X0,X1] :
      ( ( ? [X2] :
            ( leaf(X0,X2)
            & occurrence_of(X1,X2)
            & subactivity_occurrence(X0,X1) )
        | ~ leaf_occ(X0,X1) )
      & ( leaf_occ(X0,X1)
        | ! [X3] :
            ( ~ leaf(X0,X3)
            | ~ occurrence_of(X1,X3)
            | ~ subactivity_occurrence(X0,X1) ) ) ),
    inference(rectify,[],[f165]) ).

fof(f165,plain,
    ! [X0,X1] :
      ( ( ? [X2] :
            ( leaf(X0,X2)
            & occurrence_of(X1,X2)
            & subactivity_occurrence(X0,X1) )
        | ~ leaf_occ(X0,X1) )
      & ( leaf_occ(X0,X1)
        | ! [X2] :
            ( ~ leaf(X0,X2)
            | ~ occurrence_of(X1,X2)
            | ~ subactivity_occurrence(X0,X1) ) ) ),
    inference(nnf_transformation,[],[f58]) ).

fof(f58,plain,
    ! [X0,X1] :
      ( ? [X2] :
          ( leaf(X0,X2)
          & occurrence_of(X1,X2)
          & subactivity_occurrence(X0,X1) )
    <=> leaf_occ(X0,X1) ),
    inference(rectify,[],[f12]) ).

fof(f12,axiom,
    ! [X35,X36] :
      ( leaf_occ(X35,X36)
    <=> ? [X37] :
          ( subactivity_occurrence(X35,X36)
          & leaf(X35,X37)
          & occurrence_of(X36,X37) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_11) ).

fof(f399,plain,
    ! [X11] :
      ( ~ occurrence_of(sK4,X11)
      | tptp0 = X11 ),
    inference(resolution,[],[f271,f212]) ).

fof(f235,plain,
    ! [X0,X1] :
      ( leaf(X0,sK9(X0,X1))
      | ~ leaf_occ(X0,X1) ),
    inference(cnf_transformation,[],[f168]) ).

fof(f349,plain,
    ( spl18_5
    | spl18_6 ),
    inference(avatar_split_clause,[],[f340,f346,f342]) ).

fof(f340,plain,
    ( occurrence_of(sK16(sK11(sK4)),tptp1)
    | leaf_occ(sK11(sK4),sK4) ),
    inference(subsumption_resolution,[],[f339,f311]) ).

fof(f339,plain,
    ( occurrence_of(sK16(sK11(sK4)),tptp1)
    | ~ arboreal(sK11(sK4))
    | leaf_occ(sK11(sK4),sK4) ),
    inference(subsumption_resolution,[],[f338,f212]) ).

fof(f338,plain,
    ( ~ occurrence_of(sK4,tptp0)
    | ~ arboreal(sK11(sK4))
    | leaf_occ(sK11(sK4),sK4)
    | occurrence_of(sK16(sK11(sK4)),tptp1) ),
    inference(resolution,[],[f275,f302]) ).

fof(f275,plain,
    ! [X0,X1] :
      ( ~ subactivity_occurrence(X0,X1)
      | leaf_occ(X0,X1)
      | ~ arboreal(X0)
      | occurrence_of(sK16(X0),tptp1)
      | ~ occurrence_of(X1,tptp0) ),
    inference(cnf_transformation,[],[f191]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem    : PRO005+2 : TPTP v8.1.0. Released v4.0.0.
% 0.07/0.14  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.35  % Computer : n020.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit   : 300
% 0.13/0.35  % WCLimit    : 300
% 0.13/0.35  % DateTime   : Tue Aug 30 10:45:45 EDT 2022
% 0.13/0.35  % CPUTime    : 
% 0.21/0.55  % (23668)ott+10_1:32_abs=on:br=off:urr=ec_only:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.21/0.55  % (23668)Refutation not found, incomplete strategy% (23668)------------------------------
% 0.21/0.55  % (23668)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.56  % (23689)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=498:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/498Mi)
% 0.21/0.57  % (23668)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.57  % (23668)Termination reason: Refutation not found, incomplete strategy
% 0.21/0.57  
% 0.21/0.57  % (23668)Memory used [KB]: 5628
% 0.21/0.57  % (23668)Time elapsed: 0.119 s
% 0.21/0.57  % (23668)Instructions burned: 5 (million)
% 0.21/0.57  % (23668)------------------------------
% 0.21/0.57  % (23668)------------------------------
% 0.21/0.57  % (23675)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.21/0.57  % (23681)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 0.21/0.58  % (23692)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.21/0.59  % (23669)ott+4_1:1_av=off:bd=off:nwc=5.0:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.21/0.59  % (23678)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.21/0.59  % (23684)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 0.21/0.59  TRYING [4]
% 0.21/0.59  % (23675)Instruction limit reached!
% 0.21/0.59  % (23675)------------------------------
% 0.21/0.59  % (23675)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.59  % (23675)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.59  % (23675)Termination reason: Unknown
% 0.21/0.59  % (23675)Termination phase: Preprocessing 3
% 0.21/0.59  
% 0.21/0.59  % (23675)Memory used [KB]: 1023
% 0.21/0.59  % (23675)Time elapsed: 0.004 s
% 0.21/0.59  % (23675)Instructions burned: 2 (million)
% 0.21/0.59  % (23675)------------------------------
% 0.21/0.59  % (23675)------------------------------
% 0.21/0.60  % (23679)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.21/0.60  % (23677)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.21/0.60  % (23682)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=75:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/75Mi)
% 0.21/0.60  % (23676)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.21/0.61  % (23690)ott+11_1:1_drc=off:nwc=5.0:slsq=on:slsqc=1:spb=goal_then_units:to=lpo:i=467:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/467Mi)
% 0.21/0.61  % (23673)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.21/0.61  TRYING [4]
% 0.21/0.62  % (23667)fmb+10_1:1_bce=on:fmbsr=1.5:nm=4:skr=on:i=191324:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/191324Mi)
% 0.21/0.62  % (23672)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/48Mi)
% 0.21/0.62  % (23671)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.21/0.62  % (23670)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.21/0.62  TRYING [4]
% 0.21/0.62  % (23680)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.21/0.62  % (23674)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.21/0.63  % (23691)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.21/0.63  % (23694)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=177:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/177Mi)
% 0.21/0.63  % (23695)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.21/0.64  % (23683)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 2.08/0.64  % (23693)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 2.08/0.65  % (23687)ott+10_1:8_bsd=on:fsd=on:lcm=predicate:nwc=5.0:s2a=on:s2at=1.5:spb=goal_then_units:i=176:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/176Mi)
% 2.08/0.65  % (23686)ott+4_1:1_av=off:bd=off:nwc=5.0:rp=on:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 2.08/0.65  % (23674)Instruction limit reached!
% 2.08/0.65  % (23674)------------------------------
% 2.08/0.65  % (23674)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.08/0.65  % (23674)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.08/0.65  % (23674)Termination reason: Unknown
% 2.08/0.65  % (23674)Termination phase: Saturation
% 2.08/0.65  
% 2.08/0.65  % (23674)Memory used [KB]: 5628
% 2.08/0.65  % (23674)Time elapsed: 0.172 s
% 2.08/0.65  % (23674)Instructions burned: 7 (million)
% 2.08/0.65  % (23674)------------------------------
% 2.08/0.65  % (23674)------------------------------
% 2.08/0.65  % (23685)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 2.08/0.65  % (23696)ott+10_7:2_awrs=decay:awrsf=8:bd=preordered:drc=off:fd=preordered:fde=unused:fsr=off:slsq=on:slsqc=2:slsqr=5,8:sp=const_min:spb=units:to=lpo:i=355:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/355Mi)
% 2.08/0.65  TRYING [5]
% 2.08/0.66  % (23684)Instruction limit reached!
% 2.08/0.66  % (23684)------------------------------
% 2.08/0.66  % (23684)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.08/0.66  % (23688)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 2.38/0.68  % (23684)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.38/0.68  % (23684)Termination reason: Unknown
% 2.38/0.68  % (23684)Termination phase: Finite model building constraint generation
% 2.38/0.68  
% 2.38/0.68  % (23684)Memory used [KB]: 9210
% 2.38/0.68  % (23684)Time elapsed: 0.232 s
% 2.38/0.68  % (23684)Instructions burned: 60 (million)
% 2.38/0.68  % (23684)------------------------------
% 2.38/0.68  % (23684)------------------------------
% 2.38/0.69  % (23669)Instruction limit reached!
% 2.38/0.69  % (23669)------------------------------
% 2.38/0.69  % (23669)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.38/0.69  % (23669)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.38/0.69  % (23669)Termination reason: Unknown
% 2.38/0.69  % (23669)Termination phase: Saturation
% 2.38/0.69  
% 2.38/0.69  % (23669)Memory used [KB]: 1663
% 2.38/0.69  % (23669)Time elapsed: 0.246 s
% 2.38/0.69  % (23669)Instructions burned: 37 (million)
% 2.38/0.69  % (23669)------------------------------
% 2.38/0.69  % (23669)------------------------------
% 2.38/0.69  % (23676)Instruction limit reached!
% 2.38/0.69  % (23676)------------------------------
% 2.38/0.69  % (23676)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.38/0.69  % (23676)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.38/0.69  % (23676)Termination reason: Unknown
% 2.38/0.69  % (23676)Termination phase: Saturation
% 2.38/0.69  
% 2.38/0.69  % (23676)Memory used [KB]: 1791
% 2.38/0.69  % (23676)Time elapsed: 0.268 s
% 2.38/0.69  % (23676)Instructions burned: 51 (million)
% 2.38/0.69  % (23676)------------------------------
% 2.38/0.69  % (23676)------------------------------
% 2.38/0.69  TRYING [5]
% 2.38/0.70  % (23673)Instruction limit reached!
% 2.38/0.70  % (23673)------------------------------
% 2.38/0.70  % (23673)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.38/0.70  % (23673)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.38/0.70  % (23673)Termination reason: Unknown
% 2.38/0.70  % (23673)Termination phase: Finite model building constraint generation
% 2.38/0.70  
% 2.38/0.70  % (23673)Memory used [KB]: 8571
% 2.38/0.70  % (23673)Time elapsed: 0.267 s
% 2.38/0.70  % (23673)Instructions burned: 52 (million)
% 2.38/0.70  % (23673)------------------------------
% 2.38/0.70  % (23673)------------------------------
% 2.38/0.70  TRYING [5]
% 2.66/0.71  % (23677)Instruction limit reached!
% 2.66/0.71  % (23677)------------------------------
% 2.66/0.71  % (23677)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.66/0.72  % (23670)Instruction limit reached!
% 2.66/0.72  % (23670)------------------------------
% 2.66/0.72  % (23670)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.66/0.72  % (23677)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.66/0.72  % (23677)Termination reason: Unknown
% 2.66/0.72  % (23677)Termination phase: Saturation
% 2.66/0.72  
% 2.66/0.72  % (23677)Memory used [KB]: 6396
% 2.66/0.72  % (23677)Time elapsed: 0.275 s
% 2.66/0.72  % (23677)Instructions burned: 51 (million)
% 2.66/0.72  % (23677)------------------------------
% 2.66/0.72  % (23677)------------------------------
% 2.66/0.72  % (23729)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=388:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/388Mi)
% 2.66/0.73  % (23670)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.66/0.73  % (23670)Termination reason: Unknown
% 2.66/0.73  % (23670)Termination phase: Saturation
% 2.66/0.73  
% 2.66/0.73  % (23670)Memory used [KB]: 6652
% 2.66/0.73  % (23670)Time elapsed: 0.288 s
% 2.66/0.73  % (23670)Instructions burned: 52 (million)
% 2.66/0.73  % (23670)------------------------------
% 2.66/0.73  % (23670)------------------------------
% 2.66/0.73  % (23672)Instruction limit reached!
% 2.66/0.73  % (23672)------------------------------
% 2.66/0.73  % (23672)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.66/0.73  % (23672)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.66/0.73  % (23672)Termination reason: Unknown
% 2.66/0.73  % (23672)Termination phase: Saturation
% 2.66/0.73  
% 2.66/0.73  % (23672)Memory used [KB]: 6268
% 2.66/0.73  % (23672)Time elapsed: 0.297 s
% 2.66/0.73  % (23672)Instructions burned: 48 (million)
% 2.66/0.73  % (23672)------------------------------
% 2.66/0.73  % (23672)------------------------------
% 2.66/0.73  % (23671)Instruction limit reached!
% 2.66/0.73  % (23671)------------------------------
% 2.66/0.73  % (23671)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.66/0.73  % (23671)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.66/0.73  % (23671)Termination reason: Unknown
% 2.66/0.73  % (23671)Termination phase: Saturation
% 2.66/0.73  
% 2.66/0.73  % (23671)Memory used [KB]: 6396
% 2.66/0.73  % (23671)Time elapsed: 0.294 s
% 2.66/0.73  % (23671)Instructions burned: 51 (million)
% 2.66/0.73  % (23671)------------------------------
% 2.66/0.73  % (23671)------------------------------
% 2.90/0.74  % (23681)Instruction limit reached!
% 2.90/0.74  % (23681)------------------------------
% 2.90/0.74  % (23681)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.90/0.74  % (23681)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.90/0.74  % (23681)Termination reason: Unknown
% 2.90/0.74  % (23681)Termination phase: Saturation
% 2.90/0.74  
% 2.90/0.74  % (23681)Memory used [KB]: 6908
% 2.90/0.74  % (23681)Time elapsed: 0.078 s
% 2.90/0.74  % (23681)Instructions burned: 68 (million)
% 2.90/0.74  % (23681)------------------------------
% 2.90/0.74  % (23681)------------------------------
% 2.90/0.74  % (23730)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=211:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/211Mi)
% 2.90/0.77  % (23682)Instruction limit reached!
% 2.90/0.77  % (23682)------------------------------
% 2.90/0.77  % (23682)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.90/0.77  % (23682)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.90/0.77  % (23682)Termination reason: Unknown
% 2.90/0.77  % (23682)Termination phase: Saturation
% 2.90/0.77  
% 2.90/0.77  % (23682)Memory used [KB]: 2046
% 2.90/0.77  % (23682)Time elapsed: 0.293 s
% 2.90/0.77  % (23682)Instructions burned: 76 (million)
% 2.90/0.77  % (23682)------------------------------
% 2.90/0.77  % (23682)------------------------------
% 2.90/0.78  % (23693)Instruction limit reached!
% 2.90/0.78  % (23693)------------------------------
% 2.90/0.78  % (23693)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.90/0.78  % (23693)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.90/0.78  % (23693)Termination reason: Unknown
% 2.90/0.78  % (23693)Termination phase: Saturation
% 2.90/0.78  
% 2.90/0.78  % (23693)Memory used [KB]: 6908
% 2.90/0.78  % (23693)Time elapsed: 0.044 s
% 2.90/0.78  % (23693)Instructions burned: 69 (million)
% 2.90/0.78  % (23693)------------------------------
% 2.90/0.78  % (23693)------------------------------
% 2.90/0.79  % (23731)dis+22_1:128_bsd=on:rp=on:slsq=on:slsqc=1:slsqr=1,6:sp=frequency:spb=goal:thsq=on:thsqc=16:thsqd=1:thsql=off:i=90:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/90Mi)
% 2.90/0.81  % (23685)Instruction limit reached!
% 2.90/0.81  % (23685)------------------------------
% 2.90/0.81  % (23685)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.90/0.81  % (23685)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.90/0.81  % (23685)Termination reason: Unknown
% 2.90/0.81  % (23685)Termination phase: Saturation
% 2.90/0.81  
% 2.90/0.81  % (23685)Memory used [KB]: 7036
% 2.90/0.81  % (23685)Time elapsed: 0.380 s
% 2.90/0.81  % (23685)Instructions burned: 101 (million)
% 2.90/0.81  % (23685)------------------------------
% 2.90/0.81  % (23685)------------------------------
% 2.90/0.82  % (23744)ott+1_1:7_bd=off:i=934:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/934Mi)
% 2.90/0.82  % (23739)ott+1_1:2_i=920:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/920Mi)
% 2.90/0.83  % (23746)ott+10_1:50_bsr=unit_only:drc=off:fd=preordered:sp=frequency:i=747:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/747Mi)
% 3.40/0.83  % (23678)Instruction limit reached!
% 3.40/0.83  % (23678)------------------------------
% 3.40/0.83  % (23678)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.40/0.83  % (23678)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.40/0.83  % (23678)Termination reason: Unknown
% 3.40/0.83  % (23678)Termination phase: Saturation
% 3.40/0.83  
% 3.40/0.83  % (23678)Memory used [KB]: 7547
% 3.40/0.83  % (23678)Time elapsed: 0.406 s
% 3.40/0.83  % (23748)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=655:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/655Mi)
% 3.40/0.83  % (23678)Instructions burned: 100 (million)
% 3.40/0.83  % (23678)------------------------------
% 3.40/0.83  % (23678)------------------------------
% 3.40/0.84  % (23763)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=940:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/940Mi)
% 3.40/0.84  % (23679)Instruction limit reached!
% 3.40/0.84  % (23679)------------------------------
% 3.40/0.84  % (23679)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.40/0.84  % (23679)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.40/0.84  % (23679)Termination reason: Unknown
% 3.40/0.84  % (23679)Termination phase: Saturation
% 3.40/0.84  
% 3.40/0.84  % (23679)Memory used [KB]: 7164
% 3.40/0.84  % (23679)Time elapsed: 0.416 s
% 3.40/0.84  % (23679)Instructions burned: 101 (million)
% 3.40/0.84  % (23679)------------------------------
% 3.40/0.84  % (23679)------------------------------
% 3.40/0.84  % (23683)Instruction limit reached!
% 3.40/0.84  % (23683)------------------------------
% 3.40/0.84  % (23683)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.40/0.84  % (23683)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.40/0.84  % (23683)Termination reason: Unknown
% 3.40/0.84  % (23683)Termination phase: Saturation
% 3.40/0.84  
% 3.40/0.84  % (23683)Memory used [KB]: 7036
% 3.40/0.84  % (23683)Time elapsed: 0.402 s
% 3.40/0.84  % (23683)Instructions burned: 100 (million)
% 3.40/0.84  % (23683)------------------------------
% 3.40/0.84  % (23683)------------------------------
% 3.40/0.84  % (23686)Instruction limit reached!
% 3.40/0.84  % (23686)------------------------------
% 3.40/0.84  % (23686)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.40/0.84  % (23686)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.40/0.84  % (23686)Termination reason: Unknown
% 3.40/0.84  % (23686)Termination phase: Saturation
% 3.40/0.84  
% 3.40/0.84  % (23680)Instruction limit reached!
% 3.40/0.84  % (23680)------------------------------
% 3.40/0.84  % (23680)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.40/0.84  % (23680)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.40/0.84  % (23680)Termination reason: Unknown
% 3.40/0.84  % (23680)Termination phase: Saturation
% 3.40/0.84  
% 3.40/0.84  % (23680)Memory used [KB]: 7164
% 3.40/0.84  % (23680)Time elapsed: 0.414 s
% 3.40/0.84  % (23680)Instructions burned: 99 (million)
% 3.40/0.84  % (23680)------------------------------
% 3.40/0.84  % (23680)------------------------------
% 3.40/0.84  % (23686)Memory used [KB]: 2174
% 3.40/0.84  % (23686)Time elapsed: 0.401 s
% 3.40/0.84  % (23686)Instructions burned: 101 (million)
% 3.40/0.84  % (23686)------------------------------
% 3.40/0.84  % (23686)------------------------------
% 3.40/0.84  % (23758)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/68Mi)
% 3.40/0.85  WARNING Broken Constraint: if sine_depth(2) has been set then sine_selection(off) is not equal to off
% 3.40/0.85  % (23773)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=2016:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/2016Mi)
% 3.40/0.86  TRYING [6]
% 3.40/0.86  % (23767)dis+22_1:128_bsd=on:rp=on:slsq=on:slsqc=1:slsqr=1,6:sp=frequency:spb=goal:thsq=on:thsqc=16:thsqd=1:thsql=off:i=90:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/90Mi)
% 3.40/0.87  % (23765)ott+11_4:1_br=off:fde=none:s2a=on:sd=2:sp=frequency:urr=on:i=981:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/981Mi)
% 3.64/0.89  % (23687)First to succeed.
% 3.64/0.90  % (23784)dis+10_1:2_atotf=0.3:i=3735:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/3735Mi)
% 3.64/0.91  % (23688)Instruction limit reached!
% 3.64/0.91  % (23688)------------------------------
% 3.64/0.91  % (23688)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.64/0.91  % (23688)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.64/0.91  % (23688)Termination reason: Unknown
% 3.64/0.91  % (23688)Termination phase: Saturation
% 3.64/0.91  
% 3.64/0.91  % (23688)Memory used [KB]: 7547
% 3.64/0.91  % (23688)Time elapsed: 0.476 s
% 3.64/0.91  % (23688)Instructions burned: 139 (million)
% 3.64/0.91  % (23688)------------------------------
% 3.64/0.91  % (23688)------------------------------
% 3.64/0.91  % (23694)Instruction limit reached!
% 3.64/0.91  % (23694)------------------------------
% 3.64/0.91  % (23694)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.64/0.92  % (23791)ott+11_9:8_add=large:afp=10:amm=off:fsd=on:fsr=off:lma=on:nm=0:nwc=2.4:s2a=on:s2agt=10:sas=z3:sp=reverse_arity:tha=some:thi=overlap:i=4958:si=on:rawr=on:rtra=on_0 on theBenchmark for (2995ds/4958Mi)
% 3.64/0.92  % (23687)Refutation found. Thanks to Tanya!
% 3.64/0.92  % SZS status Theorem for theBenchmark
% 3.64/0.92  % SZS output start Proof for theBenchmark
% See solution above
% 3.64/0.92  % (23687)------------------------------
% 3.64/0.92  % (23687)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.64/0.92  % (23687)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.64/0.92  % (23687)Termination reason: Refutation
% 3.64/0.92  
% 3.64/0.92  % (23687)Memory used [KB]: 7164
% 3.64/0.92  % (23687)Time elapsed: 0.445 s
% 3.64/0.92  % (23687)Instructions burned: 116 (million)
% 3.64/0.92  % (23687)------------------------------
% 3.64/0.92  % (23687)------------------------------
% 3.64/0.92  % (23666)Success in time 0.564 s
%------------------------------------------------------------------------------