TSTP Solution File: PRO018+2 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : PRO018+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 : n027.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 18:10:35 EDT 2022

% Result   : Theorem 1.85s 0.59s
% Output   : Refutation 1.85s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   19
%            Number of leaves      :   26
% Syntax   : Number of formulae    :  155 (  26 unt;   0 def)
%            Number of atoms       :  643 (  46 equ)
%            Maximal formula atoms :   28 (   4 avg)
%            Number of connectives :  743 ( 255   ~; 271   |; 176   &)
%                                         (  15 <=>;  26  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   18 (   5 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :   19 (  17 usr;  10 prp; 0-3 aty)
%            Number of functors    :   13 (  13 usr;   7 con; 0-3 aty)
%            Number of variables   :  237 ( 177   !;  60   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1155,plain,
    $false,
    inference(avatar_sat_refutation,[],[f655,f687,f694,f920,f972,f976,f1002,f1019,f1061,f1154]) ).

fof(f1154,plain,
    ( ~ spl21_16
    | ~ spl21_39
    | ~ spl21_56 ),
    inference(avatar_contradiction_clause,[],[f1153]) ).

fof(f1153,plain,
    ( $false
    | ~ spl21_16
    | ~ spl21_39
    | ~ spl21_56 ),
    inference(subsumption_resolution,[],[f1144,f195]) ).

fof(f195,plain,
    tptp3 != tptp2,
    inference(cnf_transformation,[],[f44]) ).

fof(f44,axiom,
    tptp3 != tptp2,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_43) ).

fof(f1144,plain,
    ( tptp3 = tptp2
    | ~ spl21_16
    | ~ spl21_39
    | ~ spl21_56 ),
    inference(resolution,[],[f1005,f1064]) ).

fof(f1064,plain,
    ( occurrence_of(sK16(sK12),tptp3)
    | ~ spl21_39
    | ~ spl21_56 ),
    inference(backward_demodulation,[],[f686,f912]) ).

fof(f912,plain,
    ( sK18(sK18(sK12)) = sK16(sK12)
    | ~ spl21_56 ),
    inference(avatar_component_clause,[],[f910]) ).

fof(f910,plain,
    ( spl21_56
  <=> sK18(sK18(sK12)) = sK16(sK12) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_56])]) ).

fof(f686,plain,
    ( occurrence_of(sK18(sK18(sK12)),tptp3)
    | ~ spl21_39 ),
    inference(avatar_component_clause,[],[f684]) ).

fof(f684,plain,
    ( spl21_39
  <=> occurrence_of(sK18(sK18(sK12)),tptp3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_39])]) ).

fof(f1005,plain,
    ( ! [X0] :
        ( ~ occurrence_of(sK16(sK12),X0)
        | tptp2 = X0 )
    | ~ spl21_16 ),
    inference(resolution,[],[f451,f257]) ).

fof(f257,plain,
    ! [X2,X0,X1] :
      ( ~ occurrence_of(X0,X2)
      | ~ occurrence_of(X0,X1)
      | X1 = X2 ),
    inference(cnf_transformation,[],[f182]) ).

fof(f182,plain,
    ! [X0,X1,X2] :
      ( X1 = X2
      | ~ occurrence_of(X0,X2)
      | ~ occurrence_of(X0,X1) ),
    inference(rectify,[],[f103]) ).

fof(f103,plain,
    ! [X1,X0,X2] :
      ( X0 = X2
      | ~ occurrence_of(X1,X2)
      | ~ occurrence_of(X1,X0) ),
    inference(flattening,[],[f102]) ).

fof(f102,plain,
    ! [X0,X2,X1] :
      ( X0 = X2
      | ~ occurrence_of(X1,X2)
      | ~ occurrence_of(X1,X0) ),
    inference(ennf_transformation,[],[f78]) ).

fof(f78,plain,
    ! [X0,X2,X1] :
      ( ( occurrence_of(X1,X2)
        & occurrence_of(X1,X0) )
     => X0 = X2 ),
    inference(rectify,[],[f23]) ).

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

fof(f451,plain,
    ( occurrence_of(sK16(sK12),tptp2)
    | ~ spl21_16 ),
    inference(avatar_component_clause,[],[f450]) ).

fof(f450,plain,
    ( spl21_16
  <=> occurrence_of(sK16(sK12),tptp2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_16])]) ).

fof(f1061,plain,
    ~ spl21_58,
    inference(avatar_contradiction_clause,[],[f1060]) ).

fof(f1060,plain,
    ( $false
    | ~ spl21_58 ),
    inference(subsumption_resolution,[],[f1057,f368]) ).

fof(f368,plain,
    occurrence_of(sK7(tptp0,sK12,sK18(sK12)),tptp0),
    inference(resolution,[],[f337,f226]) ).

fof(f226,plain,
    ! [X2,X0,X1] :
      ( ~ min_precedes(X1,X2,X0)
      | occurrence_of(sK7(X0,X1,X2),X0) ),
    inference(cnf_transformation,[],[f161]) ).

fof(f161,plain,
    ! [X0,X1,X2] :
      ( ~ min_precedes(X1,X2,X0)
      | ( subactivity_occurrence(X1,sK7(X0,X1,X2))
        & subactivity_occurrence(X2,sK7(X0,X1,X2))
        & occurrence_of(sK7(X0,X1,X2),X0) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK7])],[f159,f160]) ).

fof(f160,plain,
    ! [X0,X1,X2] :
      ( ? [X3] :
          ( subactivity_occurrence(X1,X3)
          & subactivity_occurrence(X2,X3)
          & occurrence_of(X3,X0) )
     => ( subactivity_occurrence(X1,sK7(X0,X1,X2))
        & subactivity_occurrence(X2,sK7(X0,X1,X2))
        & occurrence_of(sK7(X0,X1,X2),X0) ) ),
    introduced(choice_axiom,[]) ).

fof(f159,plain,
    ! [X0,X1,X2] :
      ( ~ min_precedes(X1,X2,X0)
      | ? [X3] :
          ( subactivity_occurrence(X1,X3)
          & subactivity_occurrence(X2,X3)
          & occurrence_of(X3,X0) ) ),
    inference(rectify,[],[f129]) ).

fof(f129,plain,
    ! [X0,X2,X1] :
      ( ~ min_precedes(X2,X1,X0)
      | ? [X3] :
          ( subactivity_occurrence(X2,X3)
          & subactivity_occurrence(X1,X3)
          & occurrence_of(X3,X0) ) ),
    inference(ennf_transformation,[],[f63]) ).

fof(f63,plain,
    ! [X0,X2,X1] :
      ( min_precedes(X2,X1,X0)
     => ? [X3] :
          ( subactivity_occurrence(X2,X3)
          & subactivity_occurrence(X1,X3)
          & occurrence_of(X3,X0) ) ),
    inference(rectify,[],[f25]) ).

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

fof(f337,plain,
    min_precedes(sK12,sK18(sK12),tptp0),
    inference(resolution,[],[f332,f220]) ).

fof(f220,plain,
    ! [X2,X0,X1] :
      ( ~ next_subocc(X2,X0,X1)
      | min_precedes(X2,X0,X1) ),
    inference(cnf_transformation,[],[f152]) ).

fof(f152,plain,
    ! [X0,X1,X2] :
      ( ( ( ! [X3] :
              ( ~ min_precedes(X3,X0,X1)
              | ~ min_precedes(X2,X3,X1) )
          & min_precedes(X2,X0,X1) )
        | ~ next_subocc(X2,X0,X1) )
      & ( next_subocc(X2,X0,X1)
        | ( min_precedes(sK4(X0,X1,X2),X0,X1)
          & min_precedes(X2,sK4(X0,X1,X2),X1) )
        | ~ min_precedes(X2,X0,X1) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK4])],[f150,f151]) ).

fof(f151,plain,
    ! [X0,X1,X2] :
      ( ? [X4] :
          ( min_precedes(X4,X0,X1)
          & min_precedes(X2,X4,X1) )
     => ( min_precedes(sK4(X0,X1,X2),X0,X1)
        & min_precedes(X2,sK4(X0,X1,X2),X1) ) ),
    introduced(choice_axiom,[]) ).

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

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

fof(f148,plain,
    ! [X2,X0,X1] :
      ( ( ( ! [X3] :
              ( ~ min_precedes(X3,X2,X0)
              | ~ min_precedes(X1,X3,X0) )
          & min_precedes(X1,X2,X0) )
        | ~ next_subocc(X1,X2,X0) )
      & ( next_subocc(X1,X2,X0)
        | ? [X3] :
            ( min_precedes(X3,X2,X0)
            & min_precedes(X1,X3,X0) )
        | ~ min_precedes(X1,X2,X0) ) ),
    inference(nnf_transformation,[],[f126]) ).

fof(f126,plain,
    ! [X2,X0,X1] :
      ( ( ! [X3] :
            ( ~ min_precedes(X3,X2,X0)
            | ~ min_precedes(X1,X3,X0) )
        & min_precedes(X1,X2,X0) )
    <=> next_subocc(X1,X2,X0) ),
    inference(ennf_transformation,[],[f56]) ).

fof(f56,plain,
    ! [X0,X1,X2] :
      ( ( ~ ? [X3] :
              ( min_precedes(X3,X2,X0)
              & min_precedes(X1,X3,X0) )
        & min_precedes(X1,X2,X0) )
    <=> next_subocc(X1,X2,X0) ),
    inference(rectify,[],[f5]) ).

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

fof(f332,plain,
    next_subocc(sK12,sK18(sK12),tptp0),
    inference(subsumption_resolution,[],[f331,f251]) ).

fof(f251,plain,
    ~ leaf_occ(sK12,sK13),
    inference(cnf_transformation,[],[f177]) ).

fof(f177,plain,
    ( arboreal(sK12)
    & ~ leaf_occ(sK12,sK13)
    & subactivity_occurrence(sK12,sK13)
    & occurrence_of(sK13,tptp0)
    & ! [X2,X3] :
        ( ~ occurrence_of(X2,tptp3)
        | ~ min_precedes(X2,X3,tptp0)
        | ~ leaf_occ(X3,sK13)
        | ( occurrence_of(X3,tptp1)
          & min_precedes(X2,sK14(X2),tptp0)
          & occurrence_of(sK14(X2),tptp2) )
        | ~ next_subocc(sK12,X2,tptp0)
        | ( ~ occurrence_of(X3,tptp1)
          & ~ occurrence_of(X3,tptp2) )
        | sP0(X3,X2) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK12,sK13,sK14])],[f131,f176,f175]) ).

fof(f175,plain,
    ( ? [X0,X1] :
        ( arboreal(X0)
        & ~ leaf_occ(X0,X1)
        & subactivity_occurrence(X0,X1)
        & occurrence_of(X1,tptp0)
        & ! [X2,X3] :
            ( ~ occurrence_of(X2,tptp3)
            | ~ min_precedes(X2,X3,tptp0)
            | ~ leaf_occ(X3,X1)
            | ( occurrence_of(X3,tptp1)
              & ? [X4] :
                  ( min_precedes(X2,X4,tptp0)
                  & occurrence_of(X4,tptp2) ) )
            | ~ next_subocc(X0,X2,tptp0)
            | ( ~ occurrence_of(X3,tptp1)
              & ~ occurrence_of(X3,tptp2) )
            | sP0(X3,X2) ) )
   => ( arboreal(sK12)
      & ~ leaf_occ(sK12,sK13)
      & subactivity_occurrence(sK12,sK13)
      & occurrence_of(sK13,tptp0)
      & ! [X3,X2] :
          ( ~ occurrence_of(X2,tptp3)
          | ~ min_precedes(X2,X3,tptp0)
          | ~ leaf_occ(X3,sK13)
          | ( occurrence_of(X3,tptp1)
            & ? [X4] :
                ( min_precedes(X2,X4,tptp0)
                & occurrence_of(X4,tptp2) ) )
          | ~ next_subocc(sK12,X2,tptp0)
          | ( ~ occurrence_of(X3,tptp1)
            & ~ occurrence_of(X3,tptp2) )
          | sP0(X3,X2) ) ) ),
    introduced(choice_axiom,[]) ).

fof(f176,plain,
    ! [X2] :
      ( ? [X4] :
          ( min_precedes(X2,X4,tptp0)
          & occurrence_of(X4,tptp2) )
     => ( min_precedes(X2,sK14(X2),tptp0)
        & occurrence_of(sK14(X2),tptp2) ) ),
    introduced(choice_axiom,[]) ).

fof(f131,plain,
    ? [X0,X1] :
      ( arboreal(X0)
      & ~ leaf_occ(X0,X1)
      & subactivity_occurrence(X0,X1)
      & occurrence_of(X1,tptp0)
      & ! [X2,X3] :
          ( ~ occurrence_of(X2,tptp3)
          | ~ min_precedes(X2,X3,tptp0)
          | ~ leaf_occ(X3,X1)
          | ( occurrence_of(X3,tptp1)
            & ? [X4] :
                ( min_precedes(X2,X4,tptp0)
                & occurrence_of(X4,tptp2) ) )
          | ~ next_subocc(X0,X2,tptp0)
          | ( ~ occurrence_of(X3,tptp1)
            & ~ occurrence_of(X3,tptp2) )
          | sP0(X3,X2) ) ),
    inference(definition_folding,[],[f111,f130]) ).

fof(f130,plain,
    ! [X3,X2] :
      ( ( occurrence_of(X3,tptp2)
        & ? [X5] :
            ( min_precedes(X2,X5,tptp0)
            & occurrence_of(X5,tptp1) ) )
      | ~ sP0(X3,X2) ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).

fof(f111,plain,
    ? [X0,X1] :
      ( arboreal(X0)
      & ~ leaf_occ(X0,X1)
      & subactivity_occurrence(X0,X1)
      & occurrence_of(X1,tptp0)
      & ! [X2,X3] :
          ( ~ occurrence_of(X2,tptp3)
          | ~ min_precedes(X2,X3,tptp0)
          | ~ leaf_occ(X3,X1)
          | ( occurrence_of(X3,tptp1)
            & ? [X4] :
                ( min_precedes(X2,X4,tptp0)
                & occurrence_of(X4,tptp2) ) )
          | ~ next_subocc(X0,X2,tptp0)
          | ( ~ occurrence_of(X3,tptp1)
            & ~ occurrence_of(X3,tptp2) )
          | ( occurrence_of(X3,tptp2)
            & ? [X5] :
                ( min_precedes(X2,X5,tptp0)
                & occurrence_of(X5,tptp1) ) ) ) ),
    inference(flattening,[],[f110]) ).

fof(f110,plain,
    ? [X0,X1] :
      ( ! [X2,X3] :
          ( ~ occurrence_of(X2,tptp3)
          | ~ min_precedes(X2,X3,tptp0)
          | ~ leaf_occ(X3,X1)
          | ( occurrence_of(X3,tptp1)
            & ? [X4] :
                ( min_precedes(X2,X4,tptp0)
                & occurrence_of(X4,tptp2) ) )
          | ~ next_subocc(X0,X2,tptp0)
          | ( ~ occurrence_of(X3,tptp1)
            & ~ occurrence_of(X3,tptp2) )
          | ( occurrence_of(X3,tptp2)
            & ? [X5] :
                ( min_precedes(X2,X5,tptp0)
                & occurrence_of(X5,tptp1) ) ) )
      & arboreal(X0)
      & ~ leaf_occ(X0,X1)
      & subactivity_occurrence(X0,X1)
      & occurrence_of(X1,tptp0) ),
    inference(ennf_transformation,[],[f77]) ).

fof(f77,plain,
    ~ ! [X0,X1] :
        ( ( arboreal(X0)
          & ~ leaf_occ(X0,X1)
          & subactivity_occurrence(X0,X1)
          & occurrence_of(X1,tptp0) )
       => ? [X2,X3] :
            ( ( occurrence_of(X3,tptp1)
              | occurrence_of(X3,tptp2) )
            & ( occurrence_of(X3,tptp2)
             => ~ ? [X5] :
                    ( min_precedes(X2,X5,tptp0)
                    & occurrence_of(X5,tptp1) ) )
            & ( occurrence_of(X3,tptp1)
             => ~ ? [X4] :
                    ( min_precedes(X2,X4,tptp0)
                    & occurrence_of(X4,tptp2) ) )
            & leaf_occ(X3,X1)
            & next_subocc(X0,X2,tptp0)
            & min_precedes(X2,X3,tptp0)
            & occurrence_of(X2,tptp3) ) ),
    inference(rectify,[],[f47]) ).

fof(f47,negated_conjecture,
    ~ ! [X101,X102] :
        ( ( ~ leaf_occ(X101,X102)
          & subactivity_occurrence(X101,X102)
          & occurrence_of(X102,tptp0)
          & arboreal(X101) )
       => ? [X103,X104] :
            ( ( occurrence_of(X104,tptp1)
             => ~ ? [X105] :
                    ( min_precedes(X103,X105,tptp0)
                    & occurrence_of(X105,tptp2) ) )
            & leaf_occ(X104,X102)
            & ( occurrence_of(X104,tptp2)
             => ~ ? [X106] :
                    ( min_precedes(X103,X106,tptp0)
                    & occurrence_of(X106,tptp1) ) )
            & min_precedes(X103,X104,tptp0)
            & next_subocc(X101,X103,tptp0)
            & occurrence_of(X103,tptp3)
            & ( occurrence_of(X104,tptp1)
              | occurrence_of(X104,tptp2) ) ) ),
    inference(negated_conjecture,[],[f46]) ).

fof(f46,conjecture,
    ! [X101,X102] :
      ( ( ~ leaf_occ(X101,X102)
        & subactivity_occurrence(X101,X102)
        & occurrence_of(X102,tptp0)
        & arboreal(X101) )
     => ? [X103,X104] :
          ( ( occurrence_of(X104,tptp1)
           => ~ ? [X105] :
                  ( min_precedes(X103,X105,tptp0)
                  & occurrence_of(X105,tptp2) ) )
          & leaf_occ(X104,X102)
          & ( occurrence_of(X104,tptp2)
           => ~ ? [X106] :
                  ( min_precedes(X103,X106,tptp0)
                  & occurrence_of(X106,tptp1) ) )
          & min_precedes(X103,X104,tptp0)
          & next_subocc(X101,X103,tptp0)
          & occurrence_of(X103,tptp3)
          & ( occurrence_of(X104,tptp1)
            | occurrence_of(X104,tptp2) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goals) ).

fof(f331,plain,
    ( next_subocc(sK12,sK18(sK12),tptp0)
    | leaf_occ(sK12,sK13) ),
    inference(subsumption_resolution,[],[f330,f252]) ).

fof(f252,plain,
    arboreal(sK12),
    inference(cnf_transformation,[],[f177]) ).

fof(f330,plain,
    ( ~ arboreal(sK12)
    | leaf_occ(sK12,sK13)
    | next_subocc(sK12,sK18(sK12),tptp0) ),
    inference(subsumption_resolution,[],[f329,f249]) ).

fof(f249,plain,
    occurrence_of(sK13,tptp0),
    inference(cnf_transformation,[],[f177]) ).

fof(f329,plain,
    ( ~ occurrence_of(sK13,tptp0)
    | ~ arboreal(sK12)
    | next_subocc(sK12,sK18(sK12),tptp0)
    | leaf_occ(sK12,sK13) ),
    inference(resolution,[],[f260,f250]) ).

fof(f250,plain,
    subactivity_occurrence(sK12,sK13),
    inference(cnf_transformation,[],[f177]) ).

fof(f260,plain,
    ! [X0,X1] :
      ( ~ subactivity_occurrence(X0,X1)
      | ~ arboreal(X0)
      | ~ occurrence_of(X1,tptp0)
      | leaf_occ(X0,X1)
      | next_subocc(X0,sK18(X0),tptp0) ),
    inference(cnf_transformation,[],[f186]) ).

fof(f186,plain,
    ! [X0,X1] :
      ( ~ subactivity_occurrence(X0,X1)
      | ~ occurrence_of(X1,tptp0)
      | leaf_occ(X0,X1)
      | ~ arboreal(X0)
      | ( min_precedes(sK18(X0),sK17(X0),tptp0)
        & ! [X5] :
            ( sK17(X0) = X5
            | sK16(X0) = X5
            | ~ min_precedes(sK18(X0),X5,tptp0) )
        & min_precedes(sK17(X0),sK16(X0),tptp0)
        & ( occurrence_of(sK16(X0),tptp1)
          | occurrence_of(sK16(X0),tptp2) )
        & occurrence_of(sK18(X0),tptp3)
        & next_subocc(X0,sK18(X0),tptp0)
        & occurrence_of(sK17(X0),tptp4) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK16,sK17,sK18])],[f184,f185]) ).

fof(f185,plain,
    ! [X0] :
      ( ? [X2,X3,X4] :
          ( min_precedes(X4,X3,tptp0)
          & ! [X5] :
              ( X3 = X5
              | X2 = X5
              | ~ min_precedes(X4,X5,tptp0) )
          & min_precedes(X3,X2,tptp0)
          & ( occurrence_of(X2,tptp1)
            | occurrence_of(X2,tptp2) )
          & occurrence_of(X4,tptp3)
          & next_subocc(X0,X4,tptp0)
          & occurrence_of(X3,tptp4) )
     => ( min_precedes(sK18(X0),sK17(X0),tptp0)
        & ! [X5] :
            ( sK17(X0) = X5
            | sK16(X0) = X5
            | ~ min_precedes(sK18(X0),X5,tptp0) )
        & min_precedes(sK17(X0),sK16(X0),tptp0)
        & ( occurrence_of(sK16(X0),tptp1)
          | occurrence_of(sK16(X0),tptp2) )
        & occurrence_of(sK18(X0),tptp3)
        & next_subocc(X0,sK18(X0),tptp0)
        & occurrence_of(sK17(X0),tptp4) ) ),
    introduced(choice_axiom,[]) ).

fof(f184,plain,
    ! [X0,X1] :
      ( ~ subactivity_occurrence(X0,X1)
      | ~ occurrence_of(X1,tptp0)
      | leaf_occ(X0,X1)
      | ~ arboreal(X0)
      | ? [X2,X3,X4] :
          ( min_precedes(X4,X3,tptp0)
          & ! [X5] :
              ( X3 = X5
              | X2 = X5
              | ~ min_precedes(X4,X5,tptp0) )
          & min_precedes(X3,X2,tptp0)
          & ( occurrence_of(X2,tptp1)
            | occurrence_of(X2,tptp2) )
          & occurrence_of(X4,tptp3)
          & next_subocc(X0,X4,tptp0)
          & occurrence_of(X3,tptp4) ) ),
    inference(rectify,[],[f119]) ).

fof(f119,plain,
    ! [X1,X0] :
      ( ~ subactivity_occurrence(X1,X0)
      | ~ occurrence_of(X0,tptp0)
      | leaf_occ(X1,X0)
      | ~ arboreal(X1)
      | ? [X3,X2,X4] :
          ( min_precedes(X4,X2,tptp0)
          & ! [X5] :
              ( X2 = X5
              | X3 = X5
              | ~ min_precedes(X4,X5,tptp0) )
          & min_precedes(X2,X3,tptp0)
          & ( occurrence_of(X3,tptp1)
            | occurrence_of(X3,tptp2) )
          & occurrence_of(X4,tptp3)
          & next_subocc(X1,X4,tptp0)
          & occurrence_of(X2,tptp4) ) ),
    inference(flattening,[],[f118]) ).

fof(f118,plain,
    ! [X1,X0] :
      ( ? [X3,X2,X4] :
          ( ! [X5] :
              ( X3 = X5
              | X2 = X5
              | ~ min_precedes(X4,X5,tptp0) )
          & min_precedes(X4,X2,tptp0)
          & min_precedes(X2,X3,tptp0)
          & occurrence_of(X4,tptp3)
          & ( occurrence_of(X3,tptp1)
            | occurrence_of(X3,tptp2) )
          & occurrence_of(X2,tptp4)
          & next_subocc(X1,X4,tptp0) )
      | ~ arboreal(X1)
      | ~ occurrence_of(X0,tptp0)
      | leaf_occ(X1,X0)
      | ~ subactivity_occurrence(X1,X0) ),
    inference(ennf_transformation,[],[f81]) ).

fof(f81,plain,
    ! [X1,X0] :
      ( ( arboreal(X1)
        & occurrence_of(X0,tptp0)
        & ~ leaf_occ(X1,X0)
        & subactivity_occurrence(X1,X0) )
     => ? [X3,X2,X4] :
          ( ! [X5] :
              ( min_precedes(X4,X5,tptp0)
             => ( X3 = X5
                | X2 = X5 ) )
          & min_precedes(X4,X2,tptp0)
          & min_precedes(X2,X3,tptp0)
          & occurrence_of(X4,tptp3)
          & ( occurrence_of(X3,tptp1)
            | occurrence_of(X3,tptp2) )
          & occurrence_of(X2,tptp4)
          & next_subocc(X1,X4,tptp0) ) ),
    inference(rectify,[],[f33]) ).

fof(f33,axiom,
    ! [X96,X95] :
      ( ( occurrence_of(X96,tptp0)
        & subactivity_occurrence(X95,X96)
        & ~ leaf_occ(X95,X96)
        & arboreal(X95) )
     => ? [X98,X99,X97] :
          ( min_precedes(X98,X99,tptp0)
          & min_precedes(X97,X98,tptp0)
          & occurrence_of(X97,tptp3)
          & occurrence_of(X98,tptp4)
          & next_subocc(X95,X97,tptp0)
          & ( occurrence_of(X99,tptp2)
            | occurrence_of(X99,tptp1) )
          & ! [X100] :
              ( min_precedes(X97,X100,tptp0)
             => ( X98 = X100
                | X99 = X100 ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_32) ).

fof(f1057,plain,
    ( ~ occurrence_of(sK7(tptp0,sK12,sK18(sK12)),tptp0)
    | ~ spl21_58 ),
    inference(resolution,[],[f919,f370]) ).

fof(f370,plain,
    subactivity_occurrence(sK12,sK7(tptp0,sK12,sK18(sK12))),
    inference(resolution,[],[f337,f228]) ).

fof(f228,plain,
    ! [X2,X0,X1] :
      ( ~ min_precedes(X1,X2,X0)
      | subactivity_occurrence(X1,sK7(X0,X1,X2)) ),
    inference(cnf_transformation,[],[f161]) ).

fof(f919,plain,
    ( ! [X0] :
        ( ~ subactivity_occurrence(sK12,X0)
        | ~ occurrence_of(X0,tptp0) )
    | ~ spl21_58 ),
    inference(avatar_component_clause,[],[f918]) ).

fof(f918,plain,
    ( spl21_58
  <=> ! [X0] :
        ( ~ occurrence_of(X0,tptp0)
        | ~ subactivity_occurrence(sK12,X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_58])]) ).

fof(f1019,plain,
    ~ spl21_18,
    inference(avatar_contradiction_clause,[],[f1018]) ).

fof(f1018,plain,
    ( $false
    | ~ spl21_18 ),
    inference(subsumption_resolution,[],[f1011,f272]) ).

fof(f272,plain,
    tptp3 != tptp4,
    inference(cnf_transformation,[],[f40]) ).

fof(f40,axiom,
    tptp3 != tptp4,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_39) ).

fof(f1011,plain,
    ( tptp3 = tptp4
    | ~ spl21_18 ),
    inference(resolution,[],[f459,f747]) ).

fof(f747,plain,
    ! [X0] :
      ( ~ occurrence_of(sK17(sK12),X0)
      | tptp4 = X0 ),
    inference(resolution,[],[f744,f257]) ).

fof(f744,plain,
    occurrence_of(sK17(sK12),tptp4),
    inference(subsumption_resolution,[],[f743,f252]) ).

fof(f743,plain,
    ( ~ arboreal(sK12)
    | occurrence_of(sK17(sK12),tptp4) ),
    inference(subsumption_resolution,[],[f742,f251]) ).

fof(f742,plain,
    ( leaf_occ(sK12,sK13)
    | ~ arboreal(sK12)
    | occurrence_of(sK17(sK12),tptp4) ),
    inference(resolution,[],[f310,f250]) ).

fof(f310,plain,
    ! [X0] :
      ( ~ subactivity_occurrence(X0,sK13)
      | ~ arboreal(X0)
      | occurrence_of(sK17(X0),tptp4)
      | leaf_occ(X0,sK13) ),
    inference(resolution,[],[f259,f249]) ).

fof(f259,plain,
    ! [X0,X1] :
      ( ~ occurrence_of(X1,tptp0)
      | ~ subactivity_occurrence(X0,X1)
      | occurrence_of(sK17(X0),tptp4)
      | ~ arboreal(X0)
      | leaf_occ(X0,X1) ),
    inference(cnf_transformation,[],[f186]) ).

fof(f459,plain,
    ( occurrence_of(sK17(sK12),tptp3)
    | ~ spl21_18 ),
    inference(avatar_component_clause,[],[f458]) ).

fof(f458,plain,
    ( spl21_18
  <=> occurrence_of(sK17(sK12),tptp3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_18])]) ).

fof(f1002,plain,
    ( spl21_18
    | ~ spl21_39
    | ~ spl21_57 ),
    inference(avatar_split_clause,[],[f987,f914,f684,f458]) ).

fof(f914,plain,
    ( spl21_57
  <=> sK18(sK18(sK12)) = sK17(sK12) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_57])]) ).

fof(f987,plain,
    ( occurrence_of(sK17(sK12),tptp3)
    | ~ spl21_39
    | ~ spl21_57 ),
    inference(forward_demodulation,[],[f686,f916]) ).

fof(f916,plain,
    ( sK18(sK18(sK12)) = sK17(sK12)
    | ~ spl21_57 ),
    inference(avatar_component_clause,[],[f914]) ).

fof(f976,plain,
    ( spl21_15
    | spl21_16 ),
    inference(avatar_split_clause,[],[f975,f450,f446]) ).

fof(f446,plain,
    ( spl21_15
  <=> occurrence_of(sK16(sK12),tptp1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_15])]) ).

fof(f975,plain,
    ( occurrence_of(sK16(sK12),tptp2)
    | occurrence_of(sK16(sK12),tptp1) ),
    inference(subsumption_resolution,[],[f974,f599]) ).

fof(f599,plain,
    ~ leaf_occ(sK12,sK7(tptp0,sK12,sK18(sK12))),
    inference(resolution,[],[f368,f363]) ).

fof(f363,plain,
    ! [X0] :
      ( ~ occurrence_of(X0,tptp0)
      | ~ leaf_occ(sK12,X0) ),
    inference(resolution,[],[f337,f217]) ).

fof(f217,plain,
    ! [X2,X3,X0,X1] :
      ( ~ min_precedes(X0,X3,X1)
      | ~ occurrence_of(X2,X1)
      | ~ leaf_occ(X0,X2) ),
    inference(cnf_transformation,[],[f147]) ).

fof(f147,plain,
    ! [X0,X1,X2] :
      ( ~ occurrence_of(X2,X1)
      | ! [X3] : ~ min_precedes(X0,X3,X1)
      | ~ leaf_occ(X0,X2) ),
    inference(rectify,[],[f114]) ).

fof(f114,plain,
    ! [X1,X2,X0] :
      ( ~ occurrence_of(X0,X2)
      | ! [X3] : ~ min_precedes(X1,X3,X2)
      | ~ leaf_occ(X1,X0) ),
    inference(flattening,[],[f113]) ).

fof(f113,plain,
    ! [X1,X0,X2] :
      ( ! [X3] : ~ min_precedes(X1,X3,X2)
      | ~ leaf_occ(X1,X0)
      | ~ occurrence_of(X0,X2) ),
    inference(ennf_transformation,[],[f54]) ).

fof(f54,plain,
    ! [X1,X0,X2] :
      ( ( leaf_occ(X1,X0)
        & occurrence_of(X0,X2) )
     => ~ ? [X3] : min_precedes(X1,X3,X2) ),
    inference(rectify,[],[f22]) ).

fof(f22,axiom,
    ! [X60,X61,X62] :
      ( ( leaf_occ(X61,X60)
        & occurrence_of(X60,X62) )
     => ~ ? [X63] : min_precedes(X61,X63,X62) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_21) ).

fof(f974,plain,
    ( occurrence_of(sK16(sK12),tptp1)
    | leaf_occ(sK12,sK7(tptp0,sK12,sK18(sK12)))
    | occurrence_of(sK16(sK12),tptp2) ),
    inference(subsumption_resolution,[],[f973,f252]) ).

fof(f973,plain,
    ( occurrence_of(sK16(sK12),tptp2)
    | ~ arboreal(sK12)
    | leaf_occ(sK12,sK7(tptp0,sK12,sK18(sK12)))
    | occurrence_of(sK16(sK12),tptp1) ),
    inference(subsumption_resolution,[],[f613,f368]) ).

fof(f613,plain,
    ( occurrence_of(sK16(sK12),tptp1)
    | ~ occurrence_of(sK7(tptp0,sK12,sK18(sK12)),tptp0)
    | leaf_occ(sK12,sK7(tptp0,sK12,sK18(sK12)))
    | ~ arboreal(sK12)
    | occurrence_of(sK16(sK12),tptp2) ),
    inference(resolution,[],[f370,f262]) ).

fof(f262,plain,
    ! [X0,X1] :
      ( ~ subactivity_occurrence(X0,X1)
      | ~ occurrence_of(X1,tptp0)
      | ~ arboreal(X0)
      | occurrence_of(sK16(X0),tptp1)
      | leaf_occ(X0,X1)
      | occurrence_of(sK16(X0),tptp2) ),
    inference(cnf_transformation,[],[f186]) ).

fof(f972,plain,
    ( ~ spl21_15
    | ~ spl21_39
    | ~ spl21_56 ),
    inference(avatar_contradiction_clause,[],[f971]) ).

fof(f971,plain,
    ( $false
    | ~ spl21_15
    | ~ spl21_39
    | ~ spl21_56 ),
    inference(subsumption_resolution,[],[f964,f238]) ).

fof(f238,plain,
    tptp3 != tptp1,
    inference(cnf_transformation,[],[f43]) ).

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

fof(f964,plain,
    ( tptp3 = tptp1
    | ~ spl21_15
    | ~ spl21_39
    | ~ spl21_56 ),
    inference(resolution,[],[f942,f715]) ).

fof(f715,plain,
    ( ! [X7] :
        ( ~ occurrence_of(sK16(sK12),X7)
        | tptp1 = X7 )
    | ~ spl21_15 ),
    inference(resolution,[],[f257,f448]) ).

fof(f448,plain,
    ( occurrence_of(sK16(sK12),tptp1)
    | ~ spl21_15 ),
    inference(avatar_component_clause,[],[f446]) ).

fof(f942,plain,
    ( occurrence_of(sK16(sK12),tptp3)
    | ~ spl21_39
    | ~ spl21_56 ),
    inference(backward_demodulation,[],[f686,f912]) ).

fof(f920,plain,
    ( spl21_56
    | spl21_57
    | spl21_58
    | ~ spl21_33 ),
    inference(avatar_split_clause,[],[f908,f648,f918,f914,f910]) ).

fof(f648,plain,
    ( spl21_33
  <=> next_subocc(sK18(sK12),sK18(sK18(sK12)),tptp0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_33])]) ).

fof(f908,plain,
    ( ! [X0] :
        ( ~ occurrence_of(X0,tptp0)
        | sK18(sK18(sK12)) = sK17(sK12)
        | ~ subactivity_occurrence(sK12,X0)
        | sK18(sK18(sK12)) = sK16(sK12) )
    | ~ spl21_33 ),
    inference(subsumption_resolution,[],[f907,f363]) ).

fof(f907,plain,
    ( ! [X0] :
        ( leaf_occ(sK12,X0)
        | sK18(sK18(sK12)) = sK17(sK12)
        | ~ occurrence_of(X0,tptp0)
        | ~ subactivity_occurrence(sK12,X0)
        | sK18(sK18(sK12)) = sK16(sK12) )
    | ~ spl21_33 ),
    inference(subsumption_resolution,[],[f894,f252]) ).

fof(f894,plain,
    ( ! [X0] :
        ( sK18(sK18(sK12)) = sK17(sK12)
        | ~ subactivity_occurrence(sK12,X0)
        | ~ occurrence_of(X0,tptp0)
        | leaf_occ(sK12,X0)
        | sK18(sK18(sK12)) = sK16(sK12)
        | ~ arboreal(sK12) )
    | ~ spl21_33 ),
    inference(resolution,[],[f891,f264]) ).

fof(f264,plain,
    ! [X0,X1,X5] :
      ( ~ min_precedes(sK18(X0),X5,tptp0)
      | sK16(X0) = X5
      | ~ arboreal(X0)
      | ~ subactivity_occurrence(X0,X1)
      | ~ occurrence_of(X1,tptp0)
      | sK17(X0) = X5
      | leaf_occ(X0,X1) ),
    inference(cnf_transformation,[],[f186]) ).

fof(f891,plain,
    ( min_precedes(sK18(sK12),sK18(sK18(sK12)),tptp0)
    | ~ spl21_33 ),
    inference(resolution,[],[f650,f220]) ).

fof(f650,plain,
    ( next_subocc(sK18(sK12),sK18(sK18(sK12)),tptp0)
    | ~ spl21_33 ),
    inference(avatar_component_clause,[],[f648]) ).

fof(f694,plain,
    ~ spl21_34,
    inference(avatar_contradiction_clause,[],[f693]) ).

fof(f693,plain,
    ( $false
    | ~ spl21_34 ),
    inference(subsumption_resolution,[],[f688,f368]) ).

fof(f688,plain,
    ( ~ occurrence_of(sK7(tptp0,sK12,sK18(sK12)),tptp0)
    | ~ spl21_34 ),
    inference(resolution,[],[f654,f476]) ).

fof(f476,plain,
    ! [X0] :
      ( ~ leaf_occ(sK18(sK12),X0)
      | ~ occurrence_of(X0,tptp0) ),
    inference(resolution,[],[f470,f217]) ).

fof(f470,plain,
    min_precedes(sK18(sK12),sK17(sK12),tptp0),
    inference(subsumption_resolution,[],[f469,f249]) ).

fof(f469,plain,
    ( min_precedes(sK18(sK12),sK17(sK12),tptp0)
    | ~ occurrence_of(sK13,tptp0) ),
    inference(subsumption_resolution,[],[f468,f252]) ).

fof(f468,plain,
    ( ~ arboreal(sK12)
    | min_precedes(sK18(sK12),sK17(sK12),tptp0)
    | ~ occurrence_of(sK13,tptp0) ),
    inference(subsumption_resolution,[],[f467,f251]) ).

fof(f467,plain,
    ( min_precedes(sK18(sK12),sK17(sK12),tptp0)
    | leaf_occ(sK12,sK13)
    | ~ occurrence_of(sK13,tptp0)
    | ~ arboreal(sK12) ),
    inference(resolution,[],[f265,f250]) ).

fof(f265,plain,
    ! [X0,X1] :
      ( ~ subactivity_occurrence(X0,X1)
      | min_precedes(sK18(X0),sK17(X0),tptp0)
      | ~ occurrence_of(X1,tptp0)
      | ~ arboreal(X0)
      | leaf_occ(X0,X1) ),
    inference(cnf_transformation,[],[f186]) ).

fof(f654,plain,
    ( leaf_occ(sK18(sK12),sK7(tptp0,sK12,sK18(sK12)))
    | ~ spl21_34 ),
    inference(avatar_component_clause,[],[f652]) ).

fof(f652,plain,
    ( spl21_34
  <=> leaf_occ(sK18(sK12),sK7(tptp0,sK12,sK18(sK12))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl21_34])]) ).

fof(f687,plain,
    ( spl21_39
    | spl21_34 ),
    inference(avatar_split_clause,[],[f682,f652,f684]) ).

fof(f682,plain,
    ( leaf_occ(sK18(sK12),sK7(tptp0,sK12,sK18(sK12)))
    | occurrence_of(sK18(sK18(sK12)),tptp3) ),
    inference(subsumption_resolution,[],[f681,f368]) ).

fof(f681,plain,
    ( occurrence_of(sK18(sK18(sK12)),tptp3)
    | ~ occurrence_of(sK7(tptp0,sK12,sK18(sK12)),tptp0)
    | leaf_occ(sK18(sK12),sK7(tptp0,sK12,sK18(sK12))) ),
    inference(subsumption_resolution,[],[f641,f319]) ).

fof(f319,plain,
    arboreal(sK18(sK12)),
    inference(subsumption_resolution,[],[f315,f267]) ).

fof(f267,plain,
    atomic(tptp3),
    inference(cnf_transformation,[],[f39]) ).

fof(f39,axiom,
    atomic(tptp3),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_38) ).

fof(f315,plain,
    ( ~ atomic(tptp3)
    | arboreal(sK18(sK12)) ),
    inference(resolution,[],[f314,f204]) ).

fof(f204,plain,
    ! [X0,X1] :
      ( ~ occurrence_of(X1,X0)
      | ~ atomic(X0)
      | arboreal(X1) ),
    inference(cnf_transformation,[],[f137]) ).

fof(f137,plain,
    ! [X0,X1] :
      ( ( ( arboreal(X1)
          | ~ atomic(X0) )
        & ( atomic(X0)
          | ~ arboreal(X1) ) )
      | ~ occurrence_of(X1,X0) ),
    inference(rectify,[],[f136]) ).

fof(f136,plain,
    ! [X1,X0] :
      ( ( ( arboreal(X0)
          | ~ atomic(X1) )
        & ( atomic(X1)
          | ~ arboreal(X0) ) )
      | ~ occurrence_of(X0,X1) ),
    inference(nnf_transformation,[],[f84]) ).

fof(f84,plain,
    ! [X1,X0] :
      ( ( arboreal(X0)
      <=> atomic(X1) )
      | ~ occurrence_of(X0,X1) ),
    inference(ennf_transformation,[],[f52]) ).

fof(f52,plain,
    ! [X1,X0] :
      ( occurrence_of(X0,X1)
     => ( arboreal(X0)
      <=> atomic(X1) ) ),
    inference(rectify,[],[f14]) ).

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

fof(f314,plain,
    occurrence_of(sK18(sK12),tptp3),
    inference(subsumption_resolution,[],[f313,f251]) ).

fof(f313,plain,
    ( occurrence_of(sK18(sK12),tptp3)
    | leaf_occ(sK12,sK13) ),
    inference(subsumption_resolution,[],[f312,f252]) ).

fof(f312,plain,
    ( ~ arboreal(sK12)
    | leaf_occ(sK12,sK13)
    | occurrence_of(sK18(sK12),tptp3) ),
    inference(subsumption_resolution,[],[f311,f249]) ).

fof(f311,plain,
    ( ~ occurrence_of(sK13,tptp0)
    | ~ arboreal(sK12)
    | occurrence_of(sK18(sK12),tptp3)
    | leaf_occ(sK12,sK13) ),
    inference(resolution,[],[f261,f250]) ).

fof(f261,plain,
    ! [X0,X1] :
      ( ~ subactivity_occurrence(X0,X1)
      | ~ occurrence_of(X1,tptp0)
      | occurrence_of(sK18(X0),tptp3)
      | leaf_occ(X0,X1)
      | ~ arboreal(X0) ),
    inference(cnf_transformation,[],[f186]) ).

fof(f641,plain,
    ( leaf_occ(sK18(sK12),sK7(tptp0,sK12,sK18(sK12)))
    | occurrence_of(sK18(sK18(sK12)),tptp3)
    | ~ arboreal(sK18(sK12))
    | ~ occurrence_of(sK7(tptp0,sK12,sK18(sK12)),tptp0) ),
    inference(resolution,[],[f369,f261]) ).

fof(f369,plain,
    subactivity_occurrence(sK18(sK12),sK7(tptp0,sK12,sK18(sK12))),
    inference(resolution,[],[f337,f227]) ).

fof(f227,plain,
    ! [X2,X0,X1] :
      ( ~ min_precedes(X1,X2,X0)
      | subactivity_occurrence(X2,sK7(X0,X1,X2)) ),
    inference(cnf_transformation,[],[f161]) ).

fof(f655,plain,
    ( spl21_33
    | spl21_34 ),
    inference(avatar_split_clause,[],[f646,f652,f648]) ).

fof(f646,plain,
    ( leaf_occ(sK18(sK12),sK7(tptp0,sK12,sK18(sK12)))
    | next_subocc(sK18(sK12),sK18(sK18(sK12)),tptp0) ),
    inference(subsumption_resolution,[],[f645,f368]) ).

fof(f645,plain,
    ( leaf_occ(sK18(sK12),sK7(tptp0,sK12,sK18(sK12)))
    | next_subocc(sK18(sK12),sK18(sK18(sK12)),tptp0)
    | ~ occurrence_of(sK7(tptp0,sK12,sK18(sK12)),tptp0) ),
    inference(subsumption_resolution,[],[f640,f319]) ).

fof(f640,plain,
    ( ~ arboreal(sK18(sK12))
    | ~ occurrence_of(sK7(tptp0,sK12,sK18(sK12)),tptp0)
    | leaf_occ(sK18(sK12),sK7(tptp0,sK12,sK18(sK12)))
    | next_subocc(sK18(sK12),sK18(sK18(sK12)),tptp0) ),
    inference(resolution,[],[f369,f260]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12  % Problem    : PRO018+2 : TPTP v8.1.0. Released v4.0.0.
% 0.10/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.33  % Computer : n027.cluster.edu
% 0.13/0.33  % Model    : x86_64 x86_64
% 0.13/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33  % Memory   : 8042.1875MB
% 0.13/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33  % CPULimit   : 300
% 0.13/0.33  % WCLimit    : 300
% 0.13/0.33  % DateTime   : Tue Aug 30 10:47:16 EDT 2022
% 0.13/0.34  % CPUTime    : 
% 0.18/0.49  % (25468)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)
% 0.18/0.49  % (25456)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.18/0.49  % (25460)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)
% 0.18/0.50  % (25452)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)
% 0.18/0.50  % (25458)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.18/0.51  TRYING [4]
% 0.18/0.51  % (25472)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)
% 0.18/0.51  % (25464)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.18/0.52  % (25446)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)
% 0.18/0.52  % (25448)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)
% 0.18/0.52  % (25447)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)
% 0.18/0.52  % (25450)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.18/0.52  % (25451)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)
% 0.18/0.52  % (25449)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)
% 0.18/0.52  % (25455)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)
% 0.18/0.52  % (25454)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.18/0.52  % (25459)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.18/0.52  % (25454)Instruction limit reached!
% 0.18/0.52  % (25454)------------------------------
% 0.18/0.52  % (25454)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.52  % (25454)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.52  % (25454)Termination reason: Unknown
% 0.18/0.52  % (25454)Termination phase: Preprocessing 3
% 0.18/0.52  
% 0.18/0.52  % (25454)Memory used [KB]: 1023
% 0.18/0.52  % (25454)Time elapsed: 0.003 s
% 0.18/0.52  % (25454)Instructions burned: 3 (million)
% 0.18/0.52  % (25454)------------------------------
% 0.18/0.52  % (25454)------------------------------
% 0.18/0.52  % (25457)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)
% 0.18/0.53  % (25461)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)
% 0.18/0.53  % (25469)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)
% 0.18/0.53  % (25453)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.18/0.53  % (25470)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.18/0.53  % (25471)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.18/0.53  % (25475)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)
% 0.18/0.53  % (25473)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)
% 0.18/0.53  % (25453)Instruction limit reached!
% 0.18/0.53  % (25453)------------------------------
% 0.18/0.53  % (25453)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.53  % (25453)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.53  % (25453)Termination reason: Unknown
% 0.18/0.53  % (25453)Termination phase: Saturation
% 0.18/0.53  
% 0.18/0.53  % (25453)Memory used [KB]: 5628
% 0.18/0.53  % (25453)Time elapsed: 0.142 s
% 0.18/0.53  % (25453)Instructions burned: 7 (million)
% 0.18/0.53  % (25453)------------------------------
% 0.18/0.53  % (25453)------------------------------
% 0.18/0.53  % (25474)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.18/0.53  % (25447)Refutation not found, incomplete strategy% (25447)------------------------------
% 0.18/0.53  % (25447)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.54  TRYING [4]
% 0.18/0.54  % (25447)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.54  % (25447)Termination reason: Refutation not found, incomplete strategy
% 0.18/0.54  
% 0.18/0.54  % (25447)Memory used [KB]: 5756
% 0.18/0.54  % (25447)Time elapsed: 0.138 s
% 0.18/0.54  % (25447)Instructions burned: 7 (million)
% 0.18/0.54  % (25447)------------------------------
% 0.18/0.54  % (25447)------------------------------
% 0.18/0.54  % (25462)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)
% 0.18/0.54  % (25463)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 0.18/0.54  % (25467)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.18/0.54  % (25466)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)
% 0.18/0.55  % (25465)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)
% 0.18/0.57  TRYING [4]
% 0.18/0.57  TRYING [5]
% 0.18/0.57  % (25452)Instruction limit reached!
% 0.18/0.57  % (25452)------------------------------
% 0.18/0.57  % (25452)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.57  % (25452)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.57  % (25452)Termination reason: Unknown
% 0.18/0.57  % (25452)Termination phase: Finite model building constraint generation
% 0.18/0.57  
% 0.18/0.57  % (25452)Memory used [KB]: 8571
% 0.18/0.57  % (25452)Time elapsed: 0.134 s
% 0.18/0.57  % (25452)Instructions burned: 53 (million)
% 0.18/0.57  % (25452)------------------------------
% 0.18/0.57  % (25452)------------------------------
% 1.85/0.59  % (25474)First to succeed.
% 1.85/0.59  % (25456)Instruction limit reached!
% 1.85/0.59  % (25456)------------------------------
% 1.85/0.59  % (25456)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.85/0.59  % (25474)Refutation found. Thanks to Tanya!
% 1.85/0.59  % SZS status Theorem for theBenchmark
% 1.85/0.59  % SZS output start Proof for theBenchmark
% See solution above
% 1.85/0.59  % (25474)------------------------------
% 1.85/0.59  % (25474)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.85/0.59  % (25474)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.85/0.59  % (25474)Termination reason: Refutation
% 1.85/0.59  
% 1.85/0.59  % (25474)Memory used [KB]: 6140
% 1.85/0.59  % (25474)Time elapsed: 0.188 s
% 1.85/0.59  % (25474)Instructions burned: 27 (million)
% 1.85/0.59  % (25474)------------------------------
% 1.85/0.59  % (25474)------------------------------
% 1.85/0.59  % (25445)Success in time 0.249 s
%------------------------------------------------------------------------------