TSTP Solution File: PRO004+2 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : PRO004+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 : n004.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 18:10:24 EDT 2022

% Result   : Theorem 2.17s 0.68s
% Output   : Refutation 2.17s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   17
%            Number of leaves      :   43
% Syntax   : Number of formulae    :  226 (  26 unt;   0 def)
%            Number of atoms       :  798 (  32 equ)
%            Maximal formula atoms :   10 (   3 avg)
%            Number of connectives :  919 ( 347   ~; 351   |; 162   &)
%                                         (  24 <=>;  35  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   10 (   5 avg)
%            Maximal term depth    :    5 (   1 avg)
%            Number of predicates  :   25 (  23 usr;  12 prp; 0-3 aty)
%            Number of functors    :   16 (  16 usr;   5 con; 0-3 aty)
%            Number of variables   :  375 ( 310   !;  65   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1530,plain,
    $false,
    inference(avatar_sat_refutation,[],[f585,f600,f644,f663,f678,f1114,f1213,f1301,f1358,f1428,f1445,f1529]) ).

fof(f1529,plain,
    ( ~ spl18_4
    | spl18_6
    | ~ spl18_18
    | ~ spl18_40
    | ~ spl18_41
    | ~ spl18_52 ),
    inference(avatar_contradiction_clause,[],[f1528]) ).

fof(f1528,plain,
    ( $false
    | ~ spl18_4
    | spl18_6
    | ~ spl18_18
    | ~ spl18_40
    | ~ spl18_41
    | ~ spl18_52 ),
    inference(subsumption_resolution,[],[f1520,f252]) ).

fof(f252,plain,
    tptp3 != tptp1,
    inference(cnf_transformation,[],[f43]) ).

fof(f43,axiom,
    tptp3 != tptp1,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_42) ).

fof(f1520,plain,
    ( tptp3 = tptp1
    | ~ spl18_4
    | spl18_6
    | ~ spl18_18
    | ~ spl18_40
    | ~ spl18_41
    | ~ spl18_52 ),
    inference(resolution,[],[f1519,f1053]) ).

fof(f1053,plain,
    ( ! [X0] :
        ( ~ occurrence_of(sK4(sK7(sK6)),X0)
        | tptp1 = X0 )
    | ~ spl18_4
    | spl18_6
    | ~ spl18_18 ),
    inference(resolution,[],[f1048,f240]) ).

fof(f240,plain,
    ! [X2,X0,X1] :
      ( ~ occurrence_of(X2,X1)
      | ~ occurrence_of(X2,X0)
      | X0 = X1 ),
    inference(cnf_transformation,[],[f167]) ).

fof(f167,plain,
    ! [X0,X1,X2] :
      ( ~ occurrence_of(X2,X1)
      | X0 = X1
      | ~ occurrence_of(X2,X0) ),
    inference(rectify,[],[f99]) ).

fof(f99,plain,
    ! [X0,X2,X1] :
      ( ~ occurrence_of(X1,X2)
      | X0 = X2
      | ~ occurrence_of(X1,X0) ),
    inference(flattening,[],[f98]) ).

fof(f98,plain,
    ! [X0,X1,X2] :
      ( X0 = X2
      | ~ occurrence_of(X1,X2)
      | ~ occurrence_of(X1,X0) ),
    inference(ennf_transformation,[],[f76]) ).

fof(f76,plain,
    ! [X0,X1,X2] :
      ( ( occurrence_of(X1,X2)
        & occurrence_of(X1,X0) )
     => X0 = X2 ),
    inference(rectify,[],[f23]) ).

fof(f23,axiom,
    ! [X66,X64,X65] :
      ( ( occurrence_of(X64,X65)
        & occurrence_of(X64,X66) )
     => X65 = X66 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_22) ).

fof(f1048,plain,
    ( occurrence_of(sK4(sK7(sK6)),tptp1)
    | ~ spl18_4
    | spl18_6
    | ~ spl18_18 ),
    inference(subsumption_resolution,[],[f1047,f225]) ).

fof(f225,plain,
    occurrence_of(sK6,tptp0),
    inference(cnf_transformation,[],[f159]) ).

fof(f159,plain,
    occurrence_of(sK6,tptp0),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK6])],[f86,f158]) ).

fof(f158,plain,
    ( ? [X0] : occurrence_of(X0,tptp0)
   => occurrence_of(sK6,tptp0) ),
    introduced(choice_axiom,[]) ).

fof(f86,plain,
    ? [X0] : occurrence_of(X0,tptp0),
    inference(flattening,[],[f85]) ).

fof(f85,plain,
    ~ ~ ? [X0] : occurrence_of(X0,tptp0),
    inference(rectify,[],[f50]) ).

fof(f50,negated_conjecture,
    ~ ~ ? [X105] : occurrence_of(X105,tptp0),
    inference(negated_conjecture,[],[f49]) ).

fof(f49,conjecture,
    ~ ? [X105] : occurrence_of(X105,tptp0),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goals) ).

fof(f1047,plain,
    ( ~ occurrence_of(sK6,tptp0)
    | occurrence_of(sK4(sK7(sK6)),tptp1)
    | ~ spl18_4
    | spl18_6
    | ~ spl18_18 ),
    inference(subsumption_resolution,[],[f1046,f334]) ).

fof(f334,plain,
    arboreal(sK7(sK6)),
    inference(resolution,[],[f326,f225]) ).

fof(f326,plain,
    ! [X1] :
      ( ~ occurrence_of(X1,tptp0)
      | arboreal(sK7(X1)) ),
    inference(subsumption_resolution,[],[f323,f226]) ).

fof(f226,plain,
    atomic(tptp4),
    inference(cnf_transformation,[],[f36]) ).

fof(f36,axiom,
    atomic(tptp4),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_35) ).

fof(f323,plain,
    ! [X1] :
      ( arboreal(sK7(X1))
      | ~ occurrence_of(X1,tptp0)
      | ~ atomic(tptp4) ),
    inference(resolution,[],[f264,f232]) ).

fof(f232,plain,
    ! [X0] :
      ( occurrence_of(sK7(X0),tptp4)
      | ~ occurrence_of(X0,tptp0) ),
    inference(cnf_transformation,[],[f162]) ).

fof(f162,plain,
    ! [X0] :
      ( ( leaf_occ(sK8(X0),X0)
        & occurrence_of(sK7(X0),tptp4)
        & root_occ(sK7(X0),X0)
        & occurrence_of(sK8(X0),tptp3)
        & next_subocc(sK7(X0),sK8(X0),tptp0) )
      | ~ occurrence_of(X0,tptp0) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK7,sK8])],[f160,f161]) ).

fof(f161,plain,
    ! [X0] :
      ( ? [X1,X2] :
          ( leaf_occ(X2,X0)
          & occurrence_of(X1,tptp4)
          & root_occ(X1,X0)
          & occurrence_of(X2,tptp3)
          & next_subocc(X1,X2,tptp0) )
     => ( leaf_occ(sK8(X0),X0)
        & occurrence_of(sK7(X0),tptp4)
        & root_occ(sK7(X0),X0)
        & occurrence_of(sK8(X0),tptp3)
        & next_subocc(sK7(X0),sK8(X0),tptp0) ) ),
    introduced(choice_axiom,[]) ).

fof(f160,plain,
    ! [X0] :
      ( ? [X1,X2] :
          ( leaf_occ(X2,X0)
          & occurrence_of(X1,tptp4)
          & root_occ(X1,X0)
          & occurrence_of(X2,tptp3)
          & next_subocc(X1,X2,tptp0) )
      | ~ occurrence_of(X0,tptp0) ),
    inference(rectify,[],[f95]) ).

fof(f95,plain,
    ! [X0] :
      ( ? [X2,X1] :
          ( leaf_occ(X1,X0)
          & occurrence_of(X2,tptp4)
          & root_occ(X2,X0)
          & occurrence_of(X1,tptp3)
          & next_subocc(X2,X1,tptp0) )
      | ~ occurrence_of(X0,tptp0) ),
    inference(ennf_transformation,[],[f60]) ).

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

fof(f33,axiom,
    ! [X95] :
      ( occurrence_of(X95,tptp0)
     => ? [X97,X96] :
          ( leaf_occ(X97,X95)
          & occurrence_of(X97,tptp3)
          & occurrence_of(X96,tptp4)
          & next_subocc(X96,X97,tptp0)
          & root_occ(X96,X95) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_32) ).

fof(f264,plain,
    ! [X0,X1] :
      ( ~ occurrence_of(X1,X0)
      | ~ atomic(X0)
      | arboreal(X1) ),
    inference(cnf_transformation,[],[f186]) ).

fof(f186,plain,
    ! [X0,X1] :
      ( ~ occurrence_of(X1,X0)
      | ( ( atomic(X0)
          | ~ arboreal(X1) )
        & ( arboreal(X1)
          | ~ atomic(X0) ) ) ),
    inference(nnf_transformation,[],[f90]) ).

fof(f90,plain,
    ! [X0,X1] :
      ( ~ occurrence_of(X1,X0)
      | ( atomic(X0)
      <=> arboreal(X1) ) ),
    inference(ennf_transformation,[],[f72]) ).

fof(f72,plain,
    ! [X1,X0] :
      ( occurrence_of(X1,X0)
     => ( atomic(X0)
      <=> arboreal(X1) ) ),
    inference(rectify,[],[f14]) ).

fof(f14,axiom,
    ! [X41,X40] :
      ( occurrence_of(X40,X41)
     => ( atomic(X41)
      <=> arboreal(X40) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_13) ).

fof(f1046,plain,
    ( occurrence_of(sK4(sK7(sK6)),tptp1)
    | ~ arboreal(sK7(sK6))
    | ~ occurrence_of(sK6,tptp0)
    | ~ spl18_4
    | spl18_6
    | ~ spl18_18 ),
    inference(subsumption_resolution,[],[f1042,f679]) ).

fof(f679,plain,
    ( ~ leaf_occ(sK7(sK6),sK6)
    | ~ spl18_4
    | spl18_6
    | ~ spl18_18 ),
    inference(forward_demodulation,[],[f375,f665]) ).

fof(f665,plain,
    ( sK7(sK6) = sK5(tptp0,sK6)
    | ~ spl18_4
    | ~ spl18_18 ),
    inference(resolution,[],[f643,f368]) ).

fof(f368,plain,
    ( root_occ(sK5(tptp0,sK6),sK6)
    | ~ spl18_4 ),
    inference(avatar_component_clause,[],[f366]) ).

fof(f366,plain,
    ( spl18_4
  <=> root_occ(sK5(tptp0,sK6),sK6) ),
    introduced(avatar_definition,[new_symbols(naming,[spl18_4])]) ).

fof(f643,plain,
    ( ! [X0] :
        ( ~ root_occ(X0,sK6)
        | sK7(sK6) = X0 )
    | ~ spl18_18 ),
    inference(avatar_component_clause,[],[f642]) ).

fof(f642,plain,
    ( spl18_18
  <=> ! [X0] :
        ( sK7(sK6) = X0
        | ~ root_occ(X0,sK6) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl18_18])]) ).

fof(f375,plain,
    ( ~ leaf_occ(sK5(tptp0,sK6),sK6)
    | spl18_6 ),
    inference(avatar_component_clause,[],[f374]) ).

fof(f374,plain,
    ( spl18_6
  <=> leaf_occ(sK5(tptp0,sK6),sK6) ),
    introduced(avatar_definition,[new_symbols(naming,[spl18_6])]) ).

fof(f1042,plain,
    ( leaf_occ(sK7(sK6),sK6)
    | ~ occurrence_of(sK6,tptp0)
    | ~ arboreal(sK7(sK6))
    | occurrence_of(sK4(sK7(sK6)),tptp1) ),
    inference(resolution,[],[f221,f304]) ).

fof(f304,plain,
    subactivity_occurrence(sK7(sK6),sK6),
    inference(resolution,[],[f303,f258]) ).

fof(f258,plain,
    ! [X0,X1] :
      ( ~ root_occ(X1,X0)
      | subactivity_occurrence(X1,X0) ),
    inference(cnf_transformation,[],[f185]) ).

fof(f185,plain,
    ! [X0,X1] :
      ( ( root_occ(X1,X0)
        | ! [X2] :
            ( ~ root(X1,X2)
            | ~ subactivity_occurrence(X1,X0)
            | ~ occurrence_of(X0,X2) ) )
      & ( ( root(X1,sK14(X0,X1))
          & subactivity_occurrence(X1,X0)
          & occurrence_of(X0,sK14(X0,X1)) )
        | ~ root_occ(X1,X0) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK14])],[f183,f184]) ).

fof(f184,plain,
    ! [X0,X1] :
      ( ? [X3] :
          ( root(X1,X3)
          & subactivity_occurrence(X1,X0)
          & occurrence_of(X0,X3) )
     => ( root(X1,sK14(X0,X1))
        & subactivity_occurrence(X1,X0)
        & occurrence_of(X0,sK14(X0,X1)) ) ),
    introduced(choice_axiom,[]) ).

fof(f183,plain,
    ! [X0,X1] :
      ( ( root_occ(X1,X0)
        | ! [X2] :
            ( ~ root(X1,X2)
            | ~ subactivity_occurrence(X1,X0)
            | ~ occurrence_of(X0,X2) ) )
      & ( ? [X3] :
            ( root(X1,X3)
            & subactivity_occurrence(X1,X0)
            & occurrence_of(X0,X3) )
        | ~ root_occ(X1,X0) ) ),
    inference(rectify,[],[f182]) ).

fof(f182,plain,
    ! [X0,X1] :
      ( ( root_occ(X1,X0)
        | ! [X2] :
            ( ~ root(X1,X2)
            | ~ subactivity_occurrence(X1,X0)
            | ~ occurrence_of(X0,X2) ) )
      & ( ? [X2] :
            ( root(X1,X2)
            & subactivity_occurrence(X1,X0)
            & occurrence_of(X0,X2) )
        | ~ root_occ(X1,X0) ) ),
    inference(nnf_transformation,[],[f84]) ).

fof(f84,plain,
    ! [X0,X1] :
      ( root_occ(X1,X0)
    <=> ? [X2] :
          ( root(X1,X2)
          & subactivity_occurrence(X1,X0)
          & occurrence_of(X0,X2) ) ),
    inference(rectify,[],[f11]) ).

fof(f11,axiom,
    ! [X33,X32] :
      ( root_occ(X32,X33)
    <=> ? [X34] :
          ( occurrence_of(X33,X34)
          & subactivity_occurrence(X32,X33)
          & root(X32,X34) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_10) ).

fof(f303,plain,
    root_occ(sK7(sK6),sK6),
    inference(resolution,[],[f231,f225]) ).

fof(f231,plain,
    ! [X0] :
      ( ~ occurrence_of(X0,tptp0)
      | root_occ(sK7(X0),X0) ),
    inference(cnf_transformation,[],[f162]) ).

fof(f221,plain,
    ! [X0,X1] :
      ( ~ subactivity_occurrence(X0,X1)
      | ~ arboreal(X0)
      | occurrence_of(sK4(X0),tptp1)
      | leaf_occ(X0,X1)
      | ~ occurrence_of(X1,tptp0) ),
    inference(cnf_transformation,[],[f155]) ).

fof(f155,plain,
    ! [X0,X1] :
      ( leaf_occ(X0,X1)
      | ( occurrence_of(sK4(X0),tptp1)
        & next_subocc(X0,sK4(X0),tptp0) )
      | ~ subactivity_occurrence(X0,X1)
      | ~ occurrence_of(X1,tptp0)
      | ~ arboreal(X0) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK4])],[f111,f154]) ).

fof(f154,plain,
    ! [X0] :
      ( ? [X2] :
          ( occurrence_of(X2,tptp1)
          & next_subocc(X0,X2,tptp0) )
     => ( occurrence_of(sK4(X0),tptp1)
        & next_subocc(X0,sK4(X0),tptp0) ) ),
    introduced(choice_axiom,[]) ).

fof(f111,plain,
    ! [X0,X1] :
      ( leaf_occ(X0,X1)
      | ? [X2] :
          ( occurrence_of(X2,tptp1)
          & next_subocc(X0,X2,tptp0) )
      | ~ subactivity_occurrence(X0,X1)
      | ~ occurrence_of(X1,tptp0)
      | ~ arboreal(X0) ),
    inference(flattening,[],[f110]) ).

fof(f110,plain,
    ! [X1,X0] :
      ( ? [X2] :
          ( occurrence_of(X2,tptp1)
          & next_subocc(X0,X2,tptp0) )
      | leaf_occ(X0,X1)
      | ~ occurrence_of(X1,tptp0)
      | ~ arboreal(X0)
      | ~ subactivity_occurrence(X0,X1) ),
    inference(ennf_transformation,[],[f62]) ).

fof(f62,plain,
    ! [X1,X0] :
      ( ( ~ leaf_occ(X0,X1)
        & occurrence_of(X1,tptp0)
        & arboreal(X0)
        & subactivity_occurrence(X0,X1) )
     => ? [X2] :
          ( occurrence_of(X2,tptp1)
          & next_subocc(X0,X2,tptp0) ) ),
    inference(rectify,[],[f48]) ).

fof(f48,axiom,
    ! [X102,X103] :
      ( ( ~ leaf_occ(X102,X103)
        & occurrence_of(X103,tptp0)
        & arboreal(X102)
        & subactivity_occurrence(X102,X103) )
     => ? [X104] :
          ( next_subocc(X102,X104,tptp0)
          & occurrence_of(X104,tptp1) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_47) ).

fof(f1519,plain,
    ( occurrence_of(sK4(sK7(sK6)),tptp3)
    | ~ spl18_40
    | ~ spl18_41
    | ~ spl18_52 ),
    inference(subsumption_resolution,[],[f1517,f1184]) ).

fof(f1184,plain,
    ( occurrence_of(sK12(sK7(sK6),tptp0,sK4(sK7(sK6))),tptp0)
    | ~ spl18_41 ),
    inference(avatar_component_clause,[],[f1183]) ).

fof(f1183,plain,
    ( spl18_41
  <=> occurrence_of(sK12(sK7(sK6),tptp0,sK4(sK7(sK6))),tptp0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl18_41])]) ).

fof(f1517,plain,
    ( ~ occurrence_of(sK12(sK7(sK6),tptp0,sK4(sK7(sK6))),tptp0)
    | occurrence_of(sK4(sK7(sK6)),tptp3)
    | ~ spl18_40
    | ~ spl18_52 ),
    inference(superposition,[],[f230,f1505]) ).

fof(f1505,plain,
    ( sK4(sK7(sK6)) = sK8(sK12(sK7(sK6),tptp0,sK4(sK7(sK6))))
    | ~ spl18_40
    | ~ spl18_52 ),
    inference(resolution,[],[f1130,f1357]) ).

fof(f1357,plain,
    ( ! [X0] :
        ( ~ leaf_occ(X0,sK12(sK7(sK6),tptp0,sK4(sK7(sK6))))
        | sK4(sK7(sK6)) = X0 )
    | ~ spl18_52 ),
    inference(avatar_component_clause,[],[f1356]) ).

fof(f1356,plain,
    ( spl18_52
  <=> ! [X0] :
        ( sK4(sK7(sK6)) = X0
        | ~ leaf_occ(X0,sK12(sK7(sK6),tptp0,sK4(sK7(sK6)))) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl18_52])]) ).

fof(f1130,plain,
    ( leaf_occ(sK8(sK12(sK7(sK6),tptp0,sK4(sK7(sK6)))),sK12(sK7(sK6),tptp0,sK4(sK7(sK6))))
    | ~ spl18_40 ),
    inference(resolution,[],[f1126,f511]) ).

fof(f511,plain,
    ! [X26,X27] :
      ( ~ min_precedes(X26,X27,tptp0)
      | leaf_occ(sK8(sK12(X26,tptp0,X27)),sK12(X26,tptp0,X27)) ),
    inference(resolution,[],[f248,f233]) ).

fof(f233,plain,
    ! [X0] :
      ( ~ occurrence_of(X0,tptp0)
      | leaf_occ(sK8(X0),X0) ),
    inference(cnf_transformation,[],[f162]) ).

fof(f248,plain,
    ! [X2,X0,X1] :
      ( occurrence_of(sK12(X0,X1,X2),X1)
      | ~ min_precedes(X0,X2,X1) ),
    inference(cnf_transformation,[],[f177]) ).

fof(f177,plain,
    ! [X0,X1,X2] :
      ( ( occurrence_of(sK12(X0,X1,X2),X1)
        & subactivity_occurrence(X0,sK12(X0,X1,X2))
        & subactivity_occurrence(X2,sK12(X0,X1,X2)) )
      | ~ min_precedes(X0,X2,X1) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK12])],[f175,f176]) ).

fof(f176,plain,
    ! [X0,X1,X2] :
      ( ? [X3] :
          ( occurrence_of(X3,X1)
          & subactivity_occurrence(X0,X3)
          & subactivity_occurrence(X2,X3) )
     => ( occurrence_of(sK12(X0,X1,X2),X1)
        & subactivity_occurrence(X0,sK12(X0,X1,X2))
        & subactivity_occurrence(X2,sK12(X0,X1,X2)) ) ),
    introduced(choice_axiom,[]) ).

fof(f175,plain,
    ! [X0,X1,X2] :
      ( ? [X3] :
          ( occurrence_of(X3,X1)
          & subactivity_occurrence(X0,X3)
          & subactivity_occurrence(X2,X3) )
      | ~ min_precedes(X0,X2,X1) ),
    inference(rectify,[],[f117]) ).

fof(f117,plain,
    ! [X2,X0,X1] :
      ( ? [X3] :
          ( occurrence_of(X3,X0)
          & subactivity_occurrence(X2,X3)
          & subactivity_occurrence(X1,X3) )
      | ~ min_precedes(X2,X1,X0) ),
    inference(ennf_transformation,[],[f79]) ).

fof(f79,plain,
    ! [X0,X2,X1] :
      ( min_precedes(X2,X1,X0)
     => ? [X3] :
          ( occurrence_of(X3,X0)
          & subactivity_occurrence(X2,X3)
          & subactivity_occurrence(X1,X3) ) ),
    inference(rectify,[],[f25]) ).

fof(f25,axiom,
    ! [X70,X72,X71] :
      ( min_precedes(X71,X72,X70)
     => ? [X73] :
          ( occurrence_of(X73,X70)
          & subactivity_occurrence(X72,X73)
          & subactivity_occurrence(X71,X73) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_24) ).

fof(f1126,plain,
    ( min_precedes(sK7(sK6),sK4(sK7(sK6)),tptp0)
    | ~ spl18_40 ),
    inference(resolution,[],[f1109,f271]) ).

fof(f271,plain,
    ! [X2,X0,X1] :
      ( ~ next_subocc(X0,X2,X1)
      | min_precedes(X0,X2,X1) ),
    inference(cnf_transformation,[],[f194]) ).

fof(f194,plain,
    ! [X0,X1,X2] :
      ( ( next_subocc(X0,X2,X1)
        | ( min_precedes(sK17(X0,X1,X2),X2,X1)
          & min_precedes(X0,sK17(X0,X1,X2),X1) )
        | ~ min_precedes(X0,X2,X1) )
      & ( ( ! [X4] :
              ( ~ min_precedes(X4,X2,X1)
              | ~ min_precedes(X0,X4,X1) )
          & min_precedes(X0,X2,X1) )
        | ~ next_subocc(X0,X2,X1) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK17])],[f192,f193]) ).

fof(f193,plain,
    ! [X0,X1,X2] :
      ( ? [X3] :
          ( min_precedes(X3,X2,X1)
          & min_precedes(X0,X3,X1) )
     => ( min_precedes(sK17(X0,X1,X2),X2,X1)
        & min_precedes(X0,sK17(X0,X1,X2),X1) ) ),
    introduced(choice_axiom,[]) ).

fof(f192,plain,
    ! [X0,X1,X2] :
      ( ( next_subocc(X0,X2,X1)
        | ? [X3] :
            ( min_precedes(X3,X2,X1)
            & min_precedes(X0,X3,X1) )
        | ~ min_precedes(X0,X2,X1) )
      & ( ( ! [X4] :
              ( ~ min_precedes(X4,X2,X1)
              | ~ min_precedes(X0,X4,X1) )
          & min_precedes(X0,X2,X1) )
        | ~ next_subocc(X0,X2,X1) ) ),
    inference(rectify,[],[f191]) ).

fof(f191,plain,
    ! [X2,X0,X1] :
      ( ( next_subocc(X2,X1,X0)
        | ? [X3] :
            ( min_precedes(X3,X1,X0)
            & min_precedes(X2,X3,X0) )
        | ~ min_precedes(X2,X1,X0) )
      & ( ( ! [X3] :
              ( ~ min_precedes(X3,X1,X0)
              | ~ min_precedes(X2,X3,X0) )
          & min_precedes(X2,X1,X0) )
        | ~ next_subocc(X2,X1,X0) ) ),
    inference(flattening,[],[f190]) ).

fof(f190,plain,
    ! [X2,X0,X1] :
      ( ( next_subocc(X2,X1,X0)
        | ? [X3] :
            ( min_precedes(X3,X1,X0)
            & min_precedes(X2,X3,X0) )
        | ~ min_precedes(X2,X1,X0) )
      & ( ( ! [X3] :
              ( ~ min_precedes(X3,X1,X0)
              | ~ min_precedes(X2,X3,X0) )
          & min_precedes(X2,X1,X0) )
        | ~ next_subocc(X2,X1,X0) ) ),
    inference(nnf_transformation,[],[f107]) ).

fof(f107,plain,
    ! [X2,X0,X1] :
      ( next_subocc(X2,X1,X0)
    <=> ( ! [X3] :
            ( ~ min_precedes(X3,X1,X0)
            | ~ min_precedes(X2,X3,X0) )
        & min_precedes(X2,X1,X0) ) ),
    inference(ennf_transformation,[],[f70]) ).

fof(f70,plain,
    ! [X1,X2,X0] :
      ( ( min_precedes(X2,X1,X0)
        & ~ ? [X3] :
              ( min_precedes(X3,X1,X0)
              & min_precedes(X2,X3,X0) ) )
    <=> next_subocc(X2,X1,X0) ),
    inference(rectify,[],[f5]) ).

fof(f5,axiom,
    ! [X17,X16,X15] :
      ( ( ~ ? [X18] :
              ( min_precedes(X15,X18,X17)
              & min_precedes(X18,X16,X17) )
        & min_precedes(X15,X16,X17) )
    <=> next_subocc(X15,X16,X17) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_04) ).

fof(f1109,plain,
    ( next_subocc(sK7(sK6),sK4(sK7(sK6)),tptp0)
    | ~ spl18_40 ),
    inference(avatar_component_clause,[],[f1107]) ).

fof(f1107,plain,
    ( spl18_40
  <=> next_subocc(sK7(sK6),sK4(sK7(sK6)),tptp0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl18_40])]) ).

fof(f230,plain,
    ! [X0] :
      ( occurrence_of(sK8(X0),tptp3)
      | ~ occurrence_of(X0,tptp0) ),
    inference(cnf_transformation,[],[f162]) ).

fof(f1445,plain,
    ( ~ spl18_40
    | ~ spl18_51 ),
    inference(avatar_contradiction_clause,[],[f1444]) ).

fof(f1444,plain,
    ( $false
    | ~ spl18_40
    | ~ spl18_51 ),
    inference(subsumption_resolution,[],[f1443,f200]) ).

fof(f200,plain,
    ~ atomic(tptp0),
    inference(cnf_transformation,[],[f35]) ).

fof(f35,axiom,
    ~ atomic(tptp0),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_34) ).

fof(f1443,plain,
    ( atomic(tptp0)
    | ~ spl18_40
    | ~ spl18_51 ),
    inference(subsumption_resolution,[],[f1435,f1126]) ).

fof(f1435,plain,
    ( ~ min_precedes(sK7(sK6),sK4(sK7(sK6)),tptp0)
    | atomic(tptp0)
    | ~ spl18_51 ),
    inference(resolution,[],[f1354,f248]) ).

fof(f1354,plain,
    ( ! [X1] :
        ( ~ occurrence_of(sK12(sK7(sK6),tptp0,sK4(sK7(sK6))),X1)
        | atomic(X1) )
    | ~ spl18_51 ),
    inference(avatar_component_clause,[],[f1353]) ).

fof(f1353,plain,
    ( spl18_51
  <=> ! [X1] :
        ( ~ occurrence_of(sK12(sK7(sK6),tptp0,sK4(sK7(sK6))),X1)
        | atomic(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl18_51])]) ).

fof(f1428,plain,
    ( ~ spl18_40
    | ~ spl18_41
    | ~ spl18_47 ),
    inference(avatar_contradiction_clause,[],[f1427]) ).

fof(f1427,plain,
    ( $false
    | ~ spl18_40
    | ~ spl18_41
    | ~ spl18_47 ),
    inference(subsumption_resolution,[],[f1414,f1184]) ).

fof(f1414,plain,
    ( ~ occurrence_of(sK12(sK7(sK6),tptp0,sK4(sK7(sK6))),tptp0)
    | ~ spl18_40
    | ~ spl18_47 ),
    inference(resolution,[],[f1300,f1132]) ).

fof(f1132,plain,
    ( ! [X0] :
        ( ~ root_occ(sK4(sK7(sK6)),X0)
        | ~ occurrence_of(X0,tptp0) )
    | ~ spl18_40 ),
    inference(resolution,[],[f1126,f207]) ).

fof(f207,plain,
    ! [X2,X3,X0,X1] :
      ( ~ min_precedes(X3,X0,X2)
      | ~ root_occ(X0,X1)
      | ~ occurrence_of(X1,X2) ),
    inference(cnf_transformation,[],[f145]) ).

fof(f145,plain,
    ! [X0,X1,X2] :
      ( ~ root_occ(X0,X1)
      | ! [X3] : ~ min_precedes(X3,X0,X2)
      | ~ occurrence_of(X1,X2) ),
    inference(rectify,[],[f126]) ).

fof(f126,plain,
    ! [X0,X2,X1] :
      ( ~ root_occ(X0,X2)
      | ! [X3] : ~ min_precedes(X3,X0,X1)
      | ~ occurrence_of(X2,X1) ),
    inference(flattening,[],[f125]) ).

fof(f125,plain,
    ! [X0,X2,X1] :
      ( ! [X3] : ~ min_precedes(X3,X0,X1)
      | ~ root_occ(X0,X2)
      | ~ occurrence_of(X2,X1) ),
    inference(ennf_transformation,[],[f73]) ).

fof(f73,plain,
    ! [X0,X2,X1] :
      ( ( root_occ(X0,X2)
        & occurrence_of(X2,X1) )
     => ~ ? [X3] : min_precedes(X3,X0,X1) ),
    inference(rectify,[],[f21]) ).

fof(f21,axiom,
    ! [X57,X58,X56] :
      ( ( occurrence_of(X56,X58)
        & root_occ(X57,X56) )
     => ~ ? [X59] : min_precedes(X59,X57,X58) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_20) ).

fof(f1300,plain,
    ( root_occ(sK4(sK7(sK6)),sK12(sK7(sK6),tptp0,sK4(sK7(sK6))))
    | ~ spl18_47 ),
    inference(avatar_component_clause,[],[f1298]) ).

fof(f1298,plain,
    ( spl18_47
  <=> root_occ(sK4(sK7(sK6)),sK12(sK7(sK6),tptp0,sK4(sK7(sK6)))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl18_47])]) ).

fof(f1358,plain,
    ( spl18_51
    | spl18_52
    | ~ spl18_46 ),
    inference(avatar_split_clause,[],[f1349,f1294,f1356,f1353]) ).

fof(f1294,plain,
    ( spl18_46
  <=> leaf_occ(sK4(sK7(sK6)),sK12(sK7(sK6),tptp0,sK4(sK7(sK6)))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl18_46])]) ).

fof(f1349,plain,
    ( ! [X0,X1] :
        ( sK4(sK7(sK6)) = X0
        | ~ occurrence_of(sK12(sK7(sK6),tptp0,sK4(sK7(sK6))),X1)
        | atomic(X1)
        | ~ leaf_occ(X0,sK12(sK7(sK6),tptp0,sK4(sK7(sK6)))) )
    | ~ spl18_46 ),
    inference(resolution,[],[f1296,f234]) ).

fof(f234,plain,
    ! [X2,X3,X0,X1] :
      ( ~ leaf_occ(X3,X1)
      | ~ leaf_occ(X0,X1)
      | ~ occurrence_of(X1,X2)
      | atomic(X2)
      | X0 = X3 ),
    inference(cnf_transformation,[],[f97]) ).

fof(f97,plain,
    ! [X0,X1,X2,X3] :
      ( atomic(X2)
      | ~ leaf_occ(X3,X1)
      | ~ occurrence_of(X1,X2)
      | ~ leaf_occ(X0,X1)
      | X0 = X3 ),
    inference(flattening,[],[f96]) ).

fof(f96,plain,
    ! [X3,X2,X0,X1] :
      ( X0 = X3
      | atomic(X2)
      | ~ leaf_occ(X3,X1)
      | ~ occurrence_of(X1,X2)
      | ~ leaf_occ(X0,X1) ),
    inference(ennf_transformation,[],[f68]) ).

fof(f68,plain,
    ! [X3,X2,X0,X1] :
      ( ( ~ atomic(X2)
        & leaf_occ(X3,X1)
        & occurrence_of(X1,X2)
        & leaf_occ(X0,X1) )
     => X0 = X3 ),
    inference(rectify,[],[f4]) ).

fof(f4,axiom,
    ! [X11,X13,X14,X12] :
      ( ( leaf_occ(X12,X13)
        & occurrence_of(X13,X14)
        & ~ atomic(X14)
        & leaf_occ(X11,X13) )
     => X11 = X12 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_03) ).

fof(f1296,plain,
    ( leaf_occ(sK4(sK7(sK6)),sK12(sK7(sK6),tptp0,sK4(sK7(sK6))))
    | ~ spl18_46 ),
    inference(avatar_component_clause,[],[f1294]) ).

fof(f1301,plain,
    ( spl18_46
    | spl18_47
    | ~ spl18_4
    | spl18_6
    | ~ spl18_18
    | ~ spl18_40
    | ~ spl18_41 ),
    inference(avatar_split_clause,[],[f1292,f1183,f1107,f642,f374,f366,f1298,f1294]) ).

fof(f1292,plain,
    ( root_occ(sK4(sK7(sK6)),sK12(sK7(sK6),tptp0,sK4(sK7(sK6))))
    | leaf_occ(sK4(sK7(sK6)),sK12(sK7(sK6),tptp0,sK4(sK7(sK6))))
    | ~ spl18_4
    | spl18_6
    | ~ spl18_18
    | ~ spl18_40
    | ~ spl18_41 ),
    inference(subsumption_resolution,[],[f1291,f1184]) ).

fof(f1291,plain,
    ( ~ occurrence_of(sK12(sK7(sK6),tptp0,sK4(sK7(sK6))),tptp0)
    | leaf_occ(sK4(sK7(sK6)),sK12(sK7(sK6),tptp0,sK4(sK7(sK6))))
    | root_occ(sK4(sK7(sK6)),sK12(sK7(sK6),tptp0,sK4(sK7(sK6))))
    | ~ spl18_4
    | spl18_6
    | ~ spl18_18
    | ~ spl18_40 ),
    inference(subsumption_resolution,[],[f1287,f1056]) ).

fof(f1056,plain,
    ( arboreal(sK4(sK7(sK6)))
    | ~ spl18_4
    | spl18_6
    | ~ spl18_18 ),
    inference(subsumption_resolution,[],[f1054,f249]) ).

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

fof(f39,axiom,
    atomic(tptp1),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_38) ).

fof(f1054,plain,
    ( arboreal(sK4(sK7(sK6)))
    | ~ atomic(tptp1)
    | ~ spl18_4
    | spl18_6
    | ~ spl18_18 ),
    inference(resolution,[],[f1048,f264]) ).

fof(f1287,plain,
    ( ~ arboreal(sK4(sK7(sK6)))
    | ~ occurrence_of(sK12(sK7(sK6),tptp0,sK4(sK7(sK6))),tptp0)
    | root_occ(sK4(sK7(sK6)),sK12(sK7(sK6),tptp0,sK4(sK7(sK6))))
    | leaf_occ(sK4(sK7(sK6)),sK12(sK7(sK6),tptp0,sK4(sK7(sK6))))
    | ~ spl18_40 ),
    inference(resolution,[],[f1137,f239]) ).

fof(f239,plain,
    ! [X0,X1] :
      ( ~ subactivity_occurrence(X0,X1)
      | leaf_occ(X0,X1)
      | root_occ(X0,X1)
      | ~ arboreal(X0)
      | ~ occurrence_of(X1,tptp0) ),
    inference(cnf_transformation,[],[f166]) ).

fof(f166,plain,
    ! [X0,X1] :
      ( ~ arboreal(X0)
      | ~ subactivity_occurrence(X0,X1)
      | root_occ(X0,X1)
      | ~ occurrence_of(X1,tptp0)
      | leaf_occ(X0,X1) ),
    inference(rectify,[],[f131]) ).

fof(f131,plain,
    ! [X1,X0] :
      ( ~ arboreal(X1)
      | ~ subactivity_occurrence(X1,X0)
      | root_occ(X1,X0)
      | ~ occurrence_of(X0,tptp0)
      | leaf_occ(X1,X0) ),
    inference(flattening,[],[f130]) ).

fof(f130,plain,
    ! [X0,X1] :
      ( root_occ(X1,X0)
      | ~ subactivity_occurrence(X1,X0)
      | leaf_occ(X1,X0)
      | ~ occurrence_of(X0,tptp0)
      | ~ arboreal(X1) ),
    inference(ennf_transformation,[],[f87]) ).

fof(f87,plain,
    ! [X0,X1] :
      ( ( subactivity_occurrence(X1,X0)
        & ~ leaf_occ(X1,X0)
        & occurrence_of(X0,tptp0)
        & arboreal(X1) )
     => root_occ(X1,X0) ),
    inference(rectify,[],[f47]) ).

fof(f47,axiom,
    ! [X101,X100] :
      ( ( subactivity_occurrence(X100,X101)
        & ~ leaf_occ(X100,X101)
        & arboreal(X100)
        & occurrence_of(X101,tptp0) )
     => root_occ(X100,X101) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_46) ).

fof(f1137,plain,
    ( subactivity_occurrence(sK4(sK7(sK6)),sK12(sK7(sK6),tptp0,sK4(sK7(sK6))))
    | ~ spl18_40 ),
    inference(resolution,[],[f1126,f246]) ).

fof(f246,plain,
    ! [X2,X0,X1] :
      ( ~ min_precedes(X0,X2,X1)
      | subactivity_occurrence(X2,sK12(X0,X1,X2)) ),
    inference(cnf_transformation,[],[f177]) ).

fof(f1213,plain,
    ( ~ spl18_40
    | spl18_41 ),
    inference(avatar_contradiction_clause,[],[f1212]) ).

fof(f1212,plain,
    ( $false
    | ~ spl18_40
    | spl18_41 ),
    inference(subsumption_resolution,[],[f1211,f1126]) ).

fof(f1211,plain,
    ( ~ min_precedes(sK7(sK6),sK4(sK7(sK6)),tptp0)
    | spl18_41 ),
    inference(resolution,[],[f1185,f248]) ).

fof(f1185,plain,
    ( ~ occurrence_of(sK12(sK7(sK6),tptp0,sK4(sK7(sK6))),tptp0)
    | spl18_41 ),
    inference(avatar_component_clause,[],[f1183]) ).

fof(f1114,plain,
    ( spl18_40
    | ~ spl18_4
    | spl18_6
    | ~ spl18_18 ),
    inference(avatar_split_clause,[],[f1113,f642,f374,f366,f1107]) ).

fof(f1113,plain,
    ( next_subocc(sK7(sK6),sK4(sK7(sK6)),tptp0)
    | ~ spl18_4
    | spl18_6
    | ~ spl18_18 ),
    inference(subsumption_resolution,[],[f1112,f225]) ).

fof(f1112,plain,
    ( next_subocc(sK7(sK6),sK4(sK7(sK6)),tptp0)
    | ~ occurrence_of(sK6,tptp0)
    | ~ spl18_4
    | spl18_6
    | ~ spl18_18 ),
    inference(subsumption_resolution,[],[f1111,f679]) ).

fof(f1111,plain,
    ( leaf_occ(sK7(sK6),sK6)
    | ~ occurrence_of(sK6,tptp0)
    | next_subocc(sK7(sK6),sK4(sK7(sK6)),tptp0) ),
    inference(subsumption_resolution,[],[f1100,f334]) ).

fof(f1100,plain,
    ( ~ arboreal(sK7(sK6))
    | ~ occurrence_of(sK6,tptp0)
    | next_subocc(sK7(sK6),sK4(sK7(sK6)),tptp0)
    | leaf_occ(sK7(sK6),sK6) ),
    inference(resolution,[],[f220,f304]) ).

fof(f220,plain,
    ! [X0,X1] :
      ( ~ subactivity_occurrence(X0,X1)
      | next_subocc(X0,sK4(X0),tptp0)
      | leaf_occ(X0,X1)
      | ~ arboreal(X0)
      | ~ occurrence_of(X1,tptp0) ),
    inference(cnf_transformation,[],[f155]) ).

fof(f678,plain,
    ( ~ spl18_4
    | ~ spl18_6
    | ~ spl18_18 ),
    inference(avatar_contradiction_clause,[],[f677]) ).

fof(f677,plain,
    ( $false
    | ~ spl18_4
    | ~ spl18_6
    | ~ spl18_18 ),
    inference(subsumption_resolution,[],[f674,f352]) ).

fof(f352,plain,
    ~ leaf(sK7(sK6),tptp0),
    inference(resolution,[],[f350,f242]) ).

fof(f242,plain,
    ! [X0,X1,X5] :
      ( ~ min_precedes(X1,X5,X0)
      | ~ leaf(X1,X0) ),
    inference(cnf_transformation,[],[f174]) ).

fof(f174,plain,
    ! [X0,X1] :
      ( ( leaf(X1,X0)
        | ( ! [X2] : ~ min_precedes(X2,X1,X0)
          & ~ root(X1,X0) )
        | min_precedes(X1,sK10(X0,X1),X0) )
      & ( ( ( min_precedes(sK11(X0,X1),X1,X0)
            | root(X1,X0) )
          & ! [X5] : ~ min_precedes(X1,X5,X0) )
        | ~ leaf(X1,X0) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK10,sK11])],[f171,f173,f172]) ).

fof(f172,plain,
    ! [X0,X1] :
      ( ? [X3] : min_precedes(X1,X3,X0)
     => min_precedes(X1,sK10(X0,X1),X0) ),
    introduced(choice_axiom,[]) ).

fof(f173,plain,
    ! [X0,X1] :
      ( ? [X4] : min_precedes(X4,X1,X0)
     => min_precedes(sK11(X0,X1),X1,X0) ),
    introduced(choice_axiom,[]) ).

fof(f171,plain,
    ! [X0,X1] :
      ( ( leaf(X1,X0)
        | ( ! [X2] : ~ min_precedes(X2,X1,X0)
          & ~ root(X1,X0) )
        | ? [X3] : min_precedes(X1,X3,X0) )
      & ( ( ( ? [X4] : min_precedes(X4,X1,X0)
            | root(X1,X0) )
          & ! [X5] : ~ min_precedes(X1,X5,X0) )
        | ~ leaf(X1,X0) ) ),
    inference(rectify,[],[f170]) ).

fof(f170,plain,
    ! [X0,X1] :
      ( ( leaf(X1,X0)
        | ( ! [X2] : ~ min_precedes(X2,X1,X0)
          & ~ root(X1,X0) )
        | ? [X3] : min_precedes(X1,X3,X0) )
      & ( ( ( ? [X2] : min_precedes(X2,X1,X0)
            | root(X1,X0) )
          & ! [X3] : ~ min_precedes(X1,X3,X0) )
        | ~ leaf(X1,X0) ) ),
    inference(flattening,[],[f169]) ).

fof(f169,plain,
    ! [X0,X1] :
      ( ( leaf(X1,X0)
        | ( ! [X2] : ~ min_precedes(X2,X1,X0)
          & ~ root(X1,X0) )
        | ? [X3] : min_precedes(X1,X3,X0) )
      & ( ( ( ? [X2] : min_precedes(X2,X1,X0)
            | root(X1,X0) )
          & ! [X3] : ~ min_precedes(X1,X3,X0) )
        | ~ leaf(X1,X0) ) ),
    inference(nnf_transformation,[],[f136]) ).

fof(f136,plain,
    ! [X0,X1] :
      ( leaf(X1,X0)
    <=> ( ( ? [X2] : min_precedes(X2,X1,X0)
          | root(X1,X0) )
        & ! [X3] : ~ min_precedes(X1,X3,X0) ) ),
    inference(ennf_transformation,[],[f83]) ).

fof(f83,plain,
    ! [X1,X0] :
      ( ( ( ? [X2] : min_precedes(X2,X1,X0)
          | root(X1,X0) )
        & ~ ? [X3] : min_precedes(X1,X3,X0) )
    <=> leaf(X1,X0) ),
    inference(rectify,[],[f15]) ).

fof(f15,axiom,
    ! [X43,X42] :
      ( ( ( root(X42,X43)
          | ? [X44] : min_precedes(X44,X42,X43) )
        & ~ ? [X45] : min_precedes(X42,X45,X43) )
    <=> leaf(X42,X43) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_14) ).

fof(f350,plain,
    min_precedes(sK7(sK6),sK8(sK6),tptp0),
    inference(resolution,[],[f271,f347]) ).

fof(f347,plain,
    next_subocc(sK7(sK6),sK8(sK6),tptp0),
    inference(resolution,[],[f229,f225]) ).

fof(f229,plain,
    ! [X0] :
      ( ~ occurrence_of(X0,tptp0)
      | next_subocc(sK7(X0),sK8(X0),tptp0) ),
    inference(cnf_transformation,[],[f162]) ).

fof(f674,plain,
    ( leaf(sK7(sK6),tptp0)
    | ~ spl18_4
    | ~ spl18_6
    | ~ spl18_18 ),
    inference(backward_demodulation,[],[f460,f665]) ).

fof(f460,plain,
    ( leaf(sK5(tptp0,sK6),tptp0)
    | ~ spl18_6 ),
    inference(subsumption_resolution,[],[f459,f376]) ).

fof(f376,plain,
    ( leaf_occ(sK5(tptp0,sK6),sK6)
    | ~ spl18_6 ),
    inference(avatar_component_clause,[],[f374]) ).

fof(f459,plain,
    ( ~ leaf_occ(sK5(tptp0,sK6),sK6)
    | leaf(sK5(tptp0,sK6),tptp0)
    | ~ spl18_6 ),
    inference(superposition,[],[f202,f452]) ).

fof(f452,plain,
    ( tptp0 = sK0(sK5(tptp0,sK6),sK6)
    | ~ spl18_6 ),
    inference(resolution,[],[f433,f376]) ).

fof(f433,plain,
    ! [X0] :
      ( ~ leaf_occ(X0,sK6)
      | tptp0 = sK0(X0,sK6) ),
    inference(resolution,[],[f428,f203]) ).

fof(f203,plain,
    ! [X0,X1] :
      ( occurrence_of(X1,sK0(X0,X1))
      | ~ leaf_occ(X0,X1) ),
    inference(cnf_transformation,[],[f141]) ).

fof(f141,plain,
    ! [X0,X1] :
      ( ( ( subactivity_occurrence(X0,X1)
          & occurrence_of(X1,sK0(X0,X1))
          & leaf(X0,sK0(X0,X1)) )
        | ~ leaf_occ(X0,X1) )
      & ( leaf_occ(X0,X1)
        | ! [X3] :
            ( ~ subactivity_occurrence(X0,X1)
            | ~ occurrence_of(X1,X3)
            | ~ leaf(X0,X3) ) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f139,f140]) ).

fof(f140,plain,
    ! [X0,X1] :
      ( ? [X2] :
          ( subactivity_occurrence(X0,X1)
          & occurrence_of(X1,X2)
          & leaf(X0,X2) )
     => ( subactivity_occurrence(X0,X1)
        & occurrence_of(X1,sK0(X0,X1))
        & leaf(X0,sK0(X0,X1)) ) ),
    introduced(choice_axiom,[]) ).

fof(f139,plain,
    ! [X0,X1] :
      ( ( ? [X2] :
            ( subactivity_occurrence(X0,X1)
            & occurrence_of(X1,X2)
            & leaf(X0,X2) )
        | ~ leaf_occ(X0,X1) )
      & ( leaf_occ(X0,X1)
        | ! [X3] :
            ( ~ subactivity_occurrence(X0,X1)
            | ~ occurrence_of(X1,X3)
            | ~ leaf(X0,X3) ) ) ),
    inference(rectify,[],[f138]) ).

fof(f138,plain,
    ! [X1,X0] :
      ( ( ? [X2] :
            ( subactivity_occurrence(X1,X0)
            & occurrence_of(X0,X2)
            & leaf(X1,X2) )
        | ~ leaf_occ(X1,X0) )
      & ( leaf_occ(X1,X0)
        | ! [X2] :
            ( ~ subactivity_occurrence(X1,X0)
            | ~ occurrence_of(X0,X2)
            | ~ leaf(X1,X2) ) ) ),
    inference(nnf_transformation,[],[f67]) ).

fof(f67,plain,
    ! [X1,X0] :
      ( ? [X2] :
          ( subactivity_occurrence(X1,X0)
          & occurrence_of(X0,X2)
          & leaf(X1,X2) )
    <=> leaf_occ(X1,X0) ),
    inference(rectify,[],[f12]) ).

fof(f12,axiom,
    ! [X36,X35] :
      ( leaf_occ(X35,X36)
    <=> ? [X37] :
          ( leaf(X35,X37)
          & subactivity_occurrence(X35,X36)
          & occurrence_of(X36,X37) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_11) ).

fof(f428,plain,
    ! [X11] :
      ( ~ occurrence_of(sK6,X11)
      | tptp0 = X11 ),
    inference(resolution,[],[f240,f225]) ).

fof(f202,plain,
    ! [X0,X1] :
      ( leaf(X0,sK0(X0,X1))
      | ~ leaf_occ(X0,X1) ),
    inference(cnf_transformation,[],[f141]) ).

fof(f663,plain,
    ~ spl18_17,
    inference(avatar_contradiction_clause,[],[f662]) ).

fof(f662,plain,
    ( $false
    | ~ spl18_17 ),
    inference(subsumption_resolution,[],[f658,f284]) ).

fof(f284,plain,
    activity_occurrence(sK6),
    inference(resolution,[],[f227,f225]) ).

fof(f227,plain,
    ! [X0,X1] :
      ( ~ occurrence_of(X1,X0)
      | activity_occurrence(X1) ),
    inference(cnf_transformation,[],[f129]) ).

fof(f129,plain,
    ! [X0,X1] :
      ( ~ occurrence_of(X1,X0)
      | ( activity(X0)
        & activity_occurrence(X1) ) ),
    inference(ennf_transformation,[],[f71]) ).

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

fof(f30,axiom,
    ! [X89,X90] :
      ( occurrence_of(X90,X89)
     => ( activity_occurrence(X90)
        & activity(X89) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_29) ).

fof(f658,plain,
    ( ~ activity_occurrence(sK6)
    | ~ spl18_17 ),
    inference(resolution,[],[f639,f212]) ).

fof(f212,plain,
    ! [X0] :
      ( occurrence_of(X0,sK2(X0))
      | ~ activity_occurrence(X0) ),
    inference(cnf_transformation,[],[f148]) ).

fof(f148,plain,
    ! [X0] :
      ( ( occurrence_of(X0,sK2(X0))
        & activity(sK2(X0)) )
      | ~ activity_occurrence(X0) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK2])],[f118,f147]) ).

fof(f147,plain,
    ! [X0] :
      ( ? [X1] :
          ( occurrence_of(X0,X1)
          & activity(X1) )
     => ( occurrence_of(X0,sK2(X0))
        & activity(sK2(X0)) ) ),
    introduced(choice_axiom,[]) ).

fof(f118,plain,
    ! [X0] :
      ( ? [X1] :
          ( occurrence_of(X0,X1)
          & activity(X1) )
      | ~ activity_occurrence(X0) ),
    inference(ennf_transformation,[],[f51]) ).

fof(f51,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/sandbox2/benchmark/theBenchmark.p',sos_18) ).

fof(f639,plain,
    ( ! [X7] : ~ occurrence_of(sK6,X7)
    | ~ spl18_17 ),
    inference(avatar_component_clause,[],[f638]) ).

fof(f638,plain,
    ( spl18_17
  <=> ! [X7] : ~ occurrence_of(sK6,X7) ),
    introduced(avatar_definition,[new_symbols(naming,[spl18_17])]) ).

fof(f644,plain,
    ( spl18_18
    | spl18_17 ),
    inference(avatar_split_clause,[],[f630,f638,f642]) ).

fof(f630,plain,
    ! [X0,X1] :
      ( ~ occurrence_of(sK6,X1)
      | sK7(sK6) = X0
      | ~ root_occ(X0,sK6) ),
    inference(resolution,[],[f282,f303]) ).

fof(f282,plain,
    ! [X2,X3,X0,X1] :
      ( ~ root_occ(X2,X3)
      | X1 = X2
      | ~ root_occ(X1,X3)
      | ~ occurrence_of(X3,X0) ),
    inference(cnf_transformation,[],[f199]) ).

fof(f199,plain,
    ! [X0,X1,X2,X3] :
      ( ~ root_occ(X2,X3)
      | X1 = X2
      | ~ occurrence_of(X3,X0)
      | ~ root_occ(X1,X3) ),
    inference(rectify,[],[f101]) ).

fof(f101,plain,
    ! [X2,X3,X0,X1] :
      ( ~ root_occ(X0,X1)
      | X0 = X3
      | ~ occurrence_of(X1,X2)
      | ~ root_occ(X3,X1) ),
    inference(flattening,[],[f100]) ).

fof(f100,plain,
    ! [X0,X1,X3,X2] :
      ( X0 = X3
      | ~ root_occ(X3,X1)
      | ~ occurrence_of(X1,X2)
      | ~ root_occ(X0,X1) ),
    inference(ennf_transformation,[],[f77]) ).

fof(f77,plain,
    ! [X0,X1,X3,X2] :
      ( ( root_occ(X3,X1)
        & occurrence_of(X1,X2)
        & root_occ(X0,X1) )
     => X0 = X3 ),
    inference(rectify,[],[f3]) ).

fof(f3,axiom,
    ! [X8,X9,X10,X7] :
      ( ( root_occ(X7,X9)
        & root_occ(X8,X9)
        & occurrence_of(X9,X10) )
     => X7 = X8 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_02) ).

fof(f600,plain,
    ~ spl18_13,
    inference(avatar_contradiction_clause,[],[f599]) ).

fof(f599,plain,
    ( $false
    | ~ spl18_13 ),
    inference(subsumption_resolution,[],[f596,f225]) ).

fof(f596,plain,
    ( ~ occurrence_of(sK6,tptp0)
    | ~ spl18_13 ),
    inference(resolution,[],[f584,f402]) ).

fof(f402,plain,
    root(sK5(tptp0,sK6),tptp0),
    inference(subsumption_resolution,[],[f399,f200]) ).

fof(f399,plain,
    ( root(sK5(tptp0,sK6),tptp0)
    | atomic(tptp0) ),
    inference(resolution,[],[f224,f225]) ).

fof(f224,plain,
    ! [X0,X1] :
      ( ~ occurrence_of(X1,X0)
      | atomic(X0)
      | root(sK5(X0,X1),X0) ),
    inference(cnf_transformation,[],[f157]) ).

fof(f157,plain,
    ! [X0,X1] :
      ( ~ occurrence_of(X1,X0)
      | ( root(sK5(X0,X1),X0)
        & subactivity_occurrence(sK5(X0,X1),X1) )
      | atomic(X0) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK5])],[f94,f156]) ).

fof(f156,plain,
    ! [X0,X1] :
      ( ? [X2] :
          ( root(X2,X0)
          & subactivity_occurrence(X2,X1) )
     => ( root(sK5(X0,X1),X0)
        & subactivity_occurrence(sK5(X0,X1),X1) ) ),
    introduced(choice_axiom,[]) ).

fof(f94,plain,
    ! [X0,X1] :
      ( ~ occurrence_of(X1,X0)
      | ? [X2] :
          ( root(X2,X0)
          & subactivity_occurrence(X2,X1) )
      | atomic(X0) ),
    inference(flattening,[],[f93]) ).

fof(f93,plain,
    ! [X0,X1] :
      ( ? [X2] :
          ( root(X2,X0)
          & subactivity_occurrence(X2,X1) )
      | atomic(X0)
      | ~ occurrence_of(X1,X0) ),
    inference(ennf_transformation,[],[f53]) ).

fof(f53,plain,
    ! [X0,X1] :
      ( ( ~ atomic(X0)
        & occurrence_of(X1,X0) )
     => ? [X2] :
          ( root(X2,X0)
          & subactivity_occurrence(X2,X1) ) ),
    inference(rectify,[],[f31]) ).

fof(f31,axiom,
    ! [X91,X92] :
      ( ( ~ atomic(X91)
        & occurrence_of(X92,X91) )
     => ? [X93] :
          ( root(X93,X91)
          & subactivity_occurrence(X93,X92) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_30) ).

fof(f584,plain,
    ( ! [X2] :
        ( ~ root(sK5(tptp0,sK6),X2)
        | ~ occurrence_of(sK6,X2) )
    | ~ spl18_13 ),
    inference(avatar_component_clause,[],[f583]) ).

fof(f583,plain,
    ( spl18_13
  <=> ! [X2] :
        ( ~ occurrence_of(sK6,X2)
        | ~ root(sK5(tptp0,sK6),X2) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl18_13])]) ).

fof(f585,plain,
    ( spl18_4
    | spl18_13 ),
    inference(avatar_split_clause,[],[f571,f583,f366]) ).

fof(f571,plain,
    ! [X2] :
      ( ~ occurrence_of(sK6,X2)
      | ~ root(sK5(tptp0,sK6),X2)
      | root_occ(sK5(tptp0,sK6),sK6) ),
    inference(resolution,[],[f260,f360]) ).

fof(f360,plain,
    subactivity_occurrence(sK5(tptp0,sK6),sK6),
    inference(subsumption_resolution,[],[f357,f200]) ).

fof(f357,plain,
    ( atomic(tptp0)
    | subactivity_occurrence(sK5(tptp0,sK6),sK6) ),
    inference(resolution,[],[f223,f225]) ).

fof(f223,plain,
    ! [X0,X1] :
      ( ~ occurrence_of(X1,X0)
      | subactivity_occurrence(sK5(X0,X1),X1)
      | atomic(X0) ),
    inference(cnf_transformation,[],[f157]) ).

fof(f260,plain,
    ! [X2,X0,X1] :
      ( ~ subactivity_occurrence(X1,X0)
      | ~ root(X1,X2)
      | root_occ(X1,X0)
      | ~ occurrence_of(X0,X2) ),
    inference(cnf_transformation,[],[f185]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem    : PRO004+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
% 0.14/0.35  % Computer : n004.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit   : 300
% 0.14/0.35  % WCLimit    : 300
% 0.14/0.35  % DateTime   : Tue Aug 30 10:21:05 EDT 2022
% 0.14/0.35  % CPUTime    : 
% 0.21/0.51  % (14754)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)
% 0.21/0.51  % (14760)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)
% 0.21/0.51  % (14777)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)
% 0.21/0.52  % (14769)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)
% 0.21/0.52  % (14772)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.21/0.52  TRYING [4]
% 0.21/0.52  % (14761)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.21/0.53  % (14764)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.21/0.53  % (14756)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)
% 0.21/0.53  % (14757)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)
% 0.21/0.53  % (14754)Refutation not found, incomplete strategy% (14754)------------------------------
% 0.21/0.53  % (14754)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.53  % (14754)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.53  % (14762)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.21/0.53  % (14754)Termination reason: Refutation not found, incomplete strategy
% 0.21/0.53  
% 0.21/0.53  % (14754)Memory used [KB]: 5628
% 0.21/0.53  % (14754)Time elapsed: 0.127 s
% 0.21/0.53  % (14754)Instructions burned: 5 (million)
% 0.21/0.53  % (14754)------------------------------
% 0.21/0.53  % (14754)------------------------------
% 0.21/0.53  % (14768)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)
% 0.21/0.53  % (14762)Instruction limit reached!
% 0.21/0.53  % (14762)------------------------------
% 0.21/0.53  % (14762)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.53  % (14762)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.53  % (14762)Termination reason: Unknown
% 0.21/0.53  % (14762)Termination phase: Property scanning
% 0.21/0.53  
% 0.21/0.53  % (14762)Memory used [KB]: 1151
% 0.21/0.53  % (14762)Time elapsed: 0.003 s
% 0.21/0.53  % (14762)Instructions burned: 3 (million)
% 0.21/0.53  % (14762)------------------------------
% 0.21/0.53  % (14762)------------------------------
% 0.21/0.53  % (14761)Instruction limit reached!
% 0.21/0.53  % (14761)------------------------------
% 0.21/0.53  % (14761)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.53  % (14761)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.53  % (14761)Termination reason: Unknown
% 0.21/0.53  % (14761)Termination phase: Saturation
% 0.21/0.53  
% 0.21/0.53  % (14761)Memory used [KB]: 5756
% 0.21/0.53  % (14761)Time elapsed: 0.073 s
% 0.21/0.53  % (14761)Instructions burned: 8 (million)
% 0.21/0.53  % (14761)------------------------------
% 0.21/0.53  % (14761)------------------------------
% 0.21/0.53  % (14781)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)
% 0.21/0.54  % (14758)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.21/0.54  % (14780)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)
% 0.21/0.54  % (14776)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)
% 0.21/0.54  % (14782)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.21/0.54  % (14784)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)
% 0.21/0.54  % (14759)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)
% 0.21/0.54  % (14753)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)
% 0.21/0.54  % (14765)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)
% 0.21/0.55  % (14774)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)
% 0.21/0.55  % (14763)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)
% 0.21/0.55  % (14775)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.21/0.55  % (14766)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.21/0.55  % (14778)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.21/0.56  % (14771)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 0.21/0.56  % (14779)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.21/0.56  % (14767)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.21/0.56  % (14770)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)
% 0.21/0.56  % (14773)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)
% 0.21/0.57  TRYING [4]
% 0.21/0.58  TRYING [5]
% 0.21/0.58  % (14760)Instruction limit reached!
% 0.21/0.58  % (14760)------------------------------
% 0.21/0.58  % (14760)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.58  % (14760)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.58  % (14760)Termination reason: Unknown
% 0.21/0.58  % (14760)Termination phase: Finite model building constraint generation
% 0.21/0.58  
% 0.21/0.58  % (14760)Memory used [KB]: 8955
% 0.21/0.58  % (14760)Time elapsed: 0.162 s
% 0.21/0.58  % (14760)Instructions burned: 54 (million)
% 0.21/0.58  % (14760)------------------------------
% 0.21/0.58  % (14760)------------------------------
% 0.21/0.59  TRYING [4]
% 1.71/0.59  % (14756)Instruction limit reached!
% 1.71/0.59  % (14756)------------------------------
% 1.71/0.59  % (14756)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.91/0.61  TRYING [5]
% 1.91/0.61  % (14756)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.91/0.61  % (14756)Termination reason: Unknown
% 1.91/0.61  % (14756)Termination phase: Saturation
% 1.91/0.61  
% 1.91/0.61  % (14756)Memory used [KB]: 1663
% 1.91/0.61  % (14756)Time elapsed: 0.170 s
% 1.91/0.61  % (14756)Instructions burned: 38 (million)
% 1.91/0.61  % (14756)------------------------------
% 1.91/0.61  % (14756)------------------------------
% 1.91/0.62  TRYING [5]
% 1.91/0.62  % (14758)Instruction limit reached!
% 1.91/0.62  % (14758)------------------------------
% 1.91/0.62  % (14758)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.91/0.62  % (14758)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.91/0.62  % (14758)Termination reason: Unknown
% 1.91/0.62  % (14758)Termination phase: Saturation
% 1.91/0.62  
% 1.91/0.62  % (14758)Memory used [KB]: 6268
% 1.91/0.62  % (14758)Time elapsed: 0.199 s
% 1.91/0.62  % (14758)Instructions burned: 51 (million)
% 1.91/0.62  % (14758)------------------------------
% 1.91/0.62  % (14758)------------------------------
% 1.91/0.63  % (14759)Instruction limit reached!
% 1.91/0.63  % (14759)------------------------------
% 1.91/0.63  % (14759)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.91/0.63  % (14759)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.91/0.63  % (14759)Termination reason: Unknown
% 1.91/0.63  % (14759)Termination phase: Saturation
% 1.91/0.63  
% 1.91/0.63  % (14759)Memory used [KB]: 6396
% 1.91/0.63  % (14759)Time elapsed: 0.203 s
% 1.91/0.63  % (14759)Instructions burned: 49 (million)
% 1.91/0.63  % (14759)------------------------------
% 1.91/0.63  % (14759)------------------------------
% 1.91/0.63  % (14764)Instruction limit reached!
% 1.91/0.63  % (14764)------------------------------
% 1.91/0.63  % (14764)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.91/0.63  % (14764)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.91/0.63  % (14764)Termination reason: Unknown
% 1.91/0.63  % (14764)Termination phase: Saturation
% 1.91/0.63  
% 1.91/0.63  % (14764)Memory used [KB]: 6396
% 1.91/0.63  % (14764)Time elapsed: 0.235 s
% 1.91/0.63  % (14764)Instructions burned: 51 (million)
% 1.91/0.63  % (14764)------------------------------
% 1.91/0.63  % (14764)------------------------------
% 2.17/0.64  % (14771)Instruction limit reached!
% 2.17/0.64  % (14771)------------------------------
% 2.17/0.64  % (14771)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.17/0.64  % (14771)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.17/0.64  % (14771)Termination reason: Unknown
% 2.17/0.64  % (14771)Termination phase: Finite model building constraint generation
% 2.17/0.64  
% 2.17/0.64  % (14771)Memory used [KB]: 9210
% 2.17/0.64  % (14771)Time elapsed: 0.197 s
% 2.17/0.64  % (14771)Instructions burned: 60 (million)
% 2.17/0.64  % (14771)------------------------------
% 2.17/0.64  % (14771)------------------------------
% 2.17/0.64  % (14757)Instruction limit reached!
% 2.17/0.64  % (14757)------------------------------
% 2.17/0.64  % (14757)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.17/0.64  % (14757)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.17/0.64  % (14757)Termination reason: Unknown
% 2.17/0.64  % (14757)Termination phase: Saturation
% 2.17/0.64  
% 2.17/0.64  % (14757)Memory used [KB]: 6652
% 2.17/0.64  % (14757)Time elapsed: 0.236 s
% 2.17/0.64  % (14757)Instructions burned: 52 (million)
% 2.17/0.64  % (14757)------------------------------
% 2.17/0.64  % (14757)------------------------------
% 2.17/0.65  % (14832)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 (2998ds/90Mi)
% 2.17/0.65  % (14769)Instruction limit reached!
% 2.17/0.65  % (14769)------------------------------
% 2.17/0.65  % (14769)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.17/0.65  % (14769)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.17/0.65  % (14769)Termination reason: Unknown
% 2.17/0.65  % (14769)Termination phase: Saturation
% 2.17/0.65  
% 2.17/0.65  % (14769)Memory used [KB]: 2174
% 2.17/0.65  % (14769)Time elapsed: 0.192 s
% 2.17/0.65  % (14769)Instructions burned: 76 (million)
% 2.17/0.65  % (14769)------------------------------
% 2.17/0.65  % (14769)------------------------------
% 2.17/0.65  % (14763)Instruction limit reached!
% 2.17/0.65  % (14763)------------------------------
% 2.17/0.65  % (14763)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.17/0.65  % (14763)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.17/0.65  % (14763)Termination reason: Unknown
% 2.17/0.65  % (14763)Termination phase: Saturation
% 2.17/0.65  
% 2.17/0.65  % (14763)Memory used [KB]: 1791
% 2.17/0.65  % (14763)Time elapsed: 0.220 s
% 2.17/0.65  % (14763)Instructions burned: 51 (million)
% 2.17/0.65  % (14763)------------------------------
% 2.17/0.65  % (14763)------------------------------
% 2.17/0.65  % (14768)Instruction limit reached!
% 2.17/0.65  % (14768)------------------------------
% 2.17/0.65  % (14768)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.17/0.66  % (14774)First to succeed.
% 2.17/0.66  % (14829)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 (2998ds/211Mi)
% 2.17/0.67  % (14828)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 (2998ds/388Mi)
% 2.17/0.67  % (14768)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.17/0.67  % (14768)Termination reason: Unknown
% 2.17/0.67  % (14768)Termination phase: Saturation
% 2.17/0.67  
% 2.17/0.67  % (14768)Memory used [KB]: 6908
% 2.17/0.67  % (14768)Time elapsed: 0.050 s
% 2.17/0.67  % (14768)Instructions burned: 69 (million)
% 2.17/0.67  % (14768)------------------------------
% 2.17/0.67  % (14768)------------------------------
% 2.17/0.68  % (14780)Instruction limit reached!
% 2.17/0.68  % (14780)------------------------------
% 2.17/0.68  % (14780)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.17/0.68  % (14774)Refutation found. Thanks to Tanya!
% 2.17/0.68  % SZS status Theorem for theBenchmark
% 2.17/0.68  % SZS output start Proof for theBenchmark
% See solution above
% 2.17/0.68  % (14774)------------------------------
% 2.17/0.68  % (14774)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.17/0.68  % (14774)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.17/0.68  % (14774)Termination reason: Refutation
% 2.17/0.68  
% 2.17/0.68  % (14774)Memory used [KB]: 6524
% 2.17/0.68  % (14774)Time elapsed: 0.237 s
% 2.17/0.68  % (14774)Instructions burned: 55 (million)
% 2.17/0.68  % (14774)------------------------------
% 2.17/0.68  % (14774)------------------------------
% 2.17/0.68  % (14751)Success in time 0.312 s
%------------------------------------------------------------------------------