TSTP Solution File: PRO004+3 by iProver---3.9

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.9
% Problem  : PRO004+3 : TPTP v8.1.2. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n019.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 : Fri May  3 02:54:13 EDT 2024

% Result   : Theorem 105.55s 14.77s
% Output   : CNFRefutation 105.55s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   23
%            Number of leaves      :   31
% Syntax   : Number of formulae    :  279 (  36 unt;   0 def)
%            Number of atoms       :  878 ( 103 equ)
%            Maximal formula atoms :   10 (   3 avg)
%            Number of connectives : 1042 ( 443   ~; 434   |; 121   &)
%                                         (   8 <=>;  36  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   12 (   5 avg)
%            Maximal term depth    :    6 (   2 avg)
%            Number of predicates  :   14 (  12 usr;   1 prp; 0-3 aty)
%            Number of functors    :   12 (  12 usr;   5 con; 0-3 aty)
%            Number of variables   :  535 (  18 sgn 260   !;  39   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,axiom,
    ! [X0,X1] :
      ( occurrence_of(X1,X0)
     => ( activity_occurrence(X1)
        & activity(X0) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos) ).

fof(f2,axiom,
    ! [X2] :
      ( activity_occurrence(X2)
     => ? [X3] :
          ( occurrence_of(X2,X3)
          & activity(X3) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_01) ).

fof(f3,axiom,
    ! [X4,X5,X6] :
      ( ( occurrence_of(X4,X6)
        & occurrence_of(X4,X5) )
     => X5 = X6 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_02) ).

fof(f8,axiom,
    ! [X16,X17] :
      ( occurrence_of(X16,X17)
     => ( arboreal(X16)
      <=> atomic(X17) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_07) ).

fof(f9,axiom,
    ! [X18] :
      ( legal(X18)
     => arboreal(X18) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_08) ).

fof(f15,axiom,
    ! [X35,X36,X37] :
      ( min_precedes(X35,X36,X37)
     => ~ root(X36,X37) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_14) ).

fof(f17,axiom,
    ! [X41,X42] :
      ( root(X41,X42)
     => legal(X41) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_16) ).

fof(f23,axiom,
    ! [X60,X61,X62] :
      ( next_subocc(X60,X61,X62)
    <=> ( ~ ? [X63] :
              ( min_precedes(X63,X61,X62)
              & min_precedes(X60,X63,X62) )
        & min_precedes(X60,X61,X62) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_22) ).

fof(f26,axiom,
    ! [X69,X70,X71] :
      ( min_precedes(X70,X71,X69)
     => ? [X72] :
          ( subactivity_occurrence(X71,X72)
          & subactivity_occurrence(X70,X72)
          & occurrence_of(X72,X69) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_25) ).

fof(f34,axiom,
    ! [X99,X100] :
      ( root_occ(X99,X100)
    <=> ? [X101] :
          ( root(X99,X101)
          & subactivity_occurrence(X99,X100)
          & occurrence_of(X100,X101) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_33) ).

fof(f36,axiom,
    ! [X105,X106,X107,X108] :
      ( ( root_occ(X106,X107)
        & root_occ(X105,X107)
        & occurrence_of(X107,X108) )
     => X105 = X106 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_35) ).

fof(f38,axiom,
    ! [X113,X114,X115] :
      ( ( leaf_occ(X114,X113)
        & occurrence_of(X113,X115) )
     => ~ ? [X116] : min_precedes(X114,X116,X115) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_37) ).

fof(f40,axiom,
    ! [X121,X122,X123,X124,X125] :
      ( ( subactivity_occurrence(X122,X125)
        & subactivity_occurrence(X123,X125)
        & occurrence_of(X125,X124)
        & next_subocc(X121,X123,X124)
        & next_subocc(X121,X122,X124) )
     => X122 = X123 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_39) ).

fof(f44,axiom,
    ! [X138,X139,X140,X141] :
      ( ( ~ min_precedes(X140,X141,X138)
        & arboreal(X140)
        & leaf_occ(X141,X139)
        & subactivity_occurrence(X140,X139)
        & occurrence_of(X139,X138) )
     => X140 = X141 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_43) ).

fof(f45,axiom,
    ! [X142,X143,X144] :
      ( next_subocc(X142,X143,X144)
     => ( arboreal(X143)
        & arboreal(X142) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_44) ).

fof(f50,axiom,
    ! [X161] :
      ( occurrence_of(X161,tptp0)
     => ? [X162,X163] :
          ( next_subocc(X162,X163,tptp0)
          & leaf_occ(X163,X161)
          & occurrence_of(X163,tptp3)
          & root_occ(X162,X161)
          & occurrence_of(X162,tptp4) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_49) ).

fof(f56,axiom,
    atomic(tptp1),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_55) ).

fof(f60,axiom,
    tptp3 != tptp1,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_59) ).

fof(f65,axiom,
    ! [X168,X169] :
      ( ( ~ leaf_occ(X168,X169)
        & arboreal(X168)
        & subactivity_occurrence(X168,X169)
        & occurrence_of(X169,tptp0) )
     => ? [X170] :
          ( next_subocc(X168,X170,tptp0)
          & occurrence_of(X170,tptp1) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_64) ).

fof(f66,conjecture,
    ~ ? [X171] : occurrence_of(X171,tptp0),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',goals) ).

fof(f67,negated_conjecture,
    ~ ~ ? [X171] : occurrence_of(X171,tptp0),
    inference(negated_conjecture,[],[f66]) ).

fof(f68,plain,
    ! [X0] :
      ( activity_occurrence(X0)
     => ? [X1] :
          ( occurrence_of(X0,X1)
          & activity(X1) ) ),
    inference(rectify,[],[f2]) ).

fof(f69,plain,
    ! [X0,X1,X2] :
      ( ( occurrence_of(X0,X2)
        & occurrence_of(X0,X1) )
     => X1 = X2 ),
    inference(rectify,[],[f3]) ).

fof(f74,plain,
    ! [X0,X1] :
      ( occurrence_of(X0,X1)
     => ( arboreal(X0)
      <=> atomic(X1) ) ),
    inference(rectify,[],[f8]) ).

fof(f75,plain,
    ! [X0] :
      ( legal(X0)
     => arboreal(X0) ),
    inference(rectify,[],[f9]) ).

fof(f81,plain,
    ! [X0,X1,X2] :
      ( min_precedes(X0,X1,X2)
     => ~ root(X1,X2) ),
    inference(rectify,[],[f15]) ).

fof(f83,plain,
    ! [X0,X1] :
      ( root(X0,X1)
     => legal(X0) ),
    inference(rectify,[],[f17]) ).

fof(f89,plain,
    ! [X0,X1,X2] :
      ( next_subocc(X0,X1,X2)
    <=> ( ~ ? [X3] :
              ( min_precedes(X3,X1,X2)
              & min_precedes(X0,X3,X2) )
        & min_precedes(X0,X1,X2) ) ),
    inference(rectify,[],[f23]) ).

fof(f92,plain,
    ! [X0,X1,X2] :
      ( min_precedes(X1,X2,X0)
     => ? [X3] :
          ( subactivity_occurrence(X2,X3)
          & subactivity_occurrence(X1,X3)
          & occurrence_of(X3,X0) ) ),
    inference(rectify,[],[f26]) ).

fof(f100,plain,
    ! [X0,X1] :
      ( root_occ(X0,X1)
    <=> ? [X2] :
          ( root(X0,X2)
          & subactivity_occurrence(X0,X1)
          & occurrence_of(X1,X2) ) ),
    inference(rectify,[],[f34]) ).

fof(f102,plain,
    ! [X0,X1,X2,X3] :
      ( ( root_occ(X1,X2)
        & root_occ(X0,X2)
        & occurrence_of(X2,X3) )
     => X0 = X1 ),
    inference(rectify,[],[f36]) ).

fof(f104,plain,
    ! [X0,X1,X2] :
      ( ( leaf_occ(X1,X0)
        & occurrence_of(X0,X2) )
     => ~ ? [X3] : min_precedes(X1,X3,X2) ),
    inference(rectify,[],[f38]) ).

fof(f106,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ( subactivity_occurrence(X1,X4)
        & subactivity_occurrence(X2,X4)
        & occurrence_of(X4,X3)
        & next_subocc(X0,X2,X3)
        & next_subocc(X0,X1,X3) )
     => X1 = X2 ),
    inference(rectify,[],[f40]) ).

fof(f110,plain,
    ! [X0,X1,X2,X3] :
      ( ( ~ min_precedes(X2,X3,X0)
        & arboreal(X2)
        & leaf_occ(X3,X1)
        & subactivity_occurrence(X2,X1)
        & occurrence_of(X1,X0) )
     => X2 = X3 ),
    inference(rectify,[],[f44]) ).

fof(f111,plain,
    ! [X0,X1,X2] :
      ( next_subocc(X0,X1,X2)
     => ( arboreal(X1)
        & arboreal(X0) ) ),
    inference(rectify,[],[f45]) ).

fof(f116,plain,
    ! [X0] :
      ( occurrence_of(X0,tptp0)
     => ? [X1,X2] :
          ( next_subocc(X1,X2,tptp0)
          & leaf_occ(X2,X0)
          & occurrence_of(X2,tptp3)
          & root_occ(X1,X0)
          & occurrence_of(X1,tptp4) ) ),
    inference(rectify,[],[f50]) ).

fof(f119,plain,
    ! [X0,X1] :
      ( ( ~ leaf_occ(X0,X1)
        & arboreal(X0)
        & subactivity_occurrence(X0,X1)
        & occurrence_of(X1,tptp0) )
     => ? [X2] :
          ( next_subocc(X0,X2,tptp0)
          & occurrence_of(X2,tptp1) ) ),
    inference(rectify,[],[f65]) ).

fof(f120,plain,
    ~ ~ ? [X0] : occurrence_of(X0,tptp0),
    inference(rectify,[],[f67]) ).

fof(f121,plain,
    ? [X0] : occurrence_of(X0,tptp0),
    inference(flattening,[],[f120]) ).

fof(f122,plain,
    ! [X0,X1] :
      ( ( activity_occurrence(X1)
        & activity(X0) )
      | ~ occurrence_of(X1,X0) ),
    inference(ennf_transformation,[],[f1]) ).

fof(f123,plain,
    ! [X0] :
      ( ? [X1] :
          ( occurrence_of(X0,X1)
          & activity(X1) )
      | ~ activity_occurrence(X0) ),
    inference(ennf_transformation,[],[f68]) ).

fof(f124,plain,
    ! [X0,X1,X2] :
      ( X1 = X2
      | ~ occurrence_of(X0,X2)
      | ~ occurrence_of(X0,X1) ),
    inference(ennf_transformation,[],[f69]) ).

fof(f125,plain,
    ! [X0,X1,X2] :
      ( X1 = X2
      | ~ occurrence_of(X0,X2)
      | ~ occurrence_of(X0,X1) ),
    inference(flattening,[],[f124]) ).

fof(f132,plain,
    ! [X0,X1] :
      ( ( arboreal(X0)
      <=> atomic(X1) )
      | ~ occurrence_of(X0,X1) ),
    inference(ennf_transformation,[],[f74]) ).

fof(f133,plain,
    ! [X0] :
      ( arboreal(X0)
      | ~ legal(X0) ),
    inference(ennf_transformation,[],[f75]) ).

fof(f139,plain,
    ! [X0,X1,X2] :
      ( ~ root(X1,X2)
      | ~ min_precedes(X0,X1,X2) ),
    inference(ennf_transformation,[],[f81]) ).

fof(f141,plain,
    ! [X0,X1] :
      ( legal(X0)
      | ~ root(X0,X1) ),
    inference(ennf_transformation,[],[f83]) ).

fof(f150,plain,
    ! [X0,X1,X2] :
      ( next_subocc(X0,X1,X2)
    <=> ( ! [X3] :
            ( ~ min_precedes(X3,X1,X2)
            | ~ min_precedes(X0,X3,X2) )
        & min_precedes(X0,X1,X2) ) ),
    inference(ennf_transformation,[],[f89]) ).

fof(f152,plain,
    ! [X0,X1,X2] :
      ( ? [X3] :
          ( subactivity_occurrence(X2,X3)
          & subactivity_occurrence(X1,X3)
          & occurrence_of(X3,X0) )
      | ~ min_precedes(X1,X2,X0) ),
    inference(ennf_transformation,[],[f92]) ).

fof(f167,plain,
    ! [X0,X1,X2,X3] :
      ( X0 = X1
      | ~ root_occ(X1,X2)
      | ~ root_occ(X0,X2)
      | ~ occurrence_of(X2,X3) ),
    inference(ennf_transformation,[],[f102]) ).

fof(f168,plain,
    ! [X0,X1,X2,X3] :
      ( X0 = X1
      | ~ root_occ(X1,X2)
      | ~ root_occ(X0,X2)
      | ~ occurrence_of(X2,X3) ),
    inference(flattening,[],[f167]) ).

fof(f171,plain,
    ! [X0,X1,X2] :
      ( ! [X3] : ~ min_precedes(X1,X3,X2)
      | ~ leaf_occ(X1,X0)
      | ~ occurrence_of(X0,X2) ),
    inference(ennf_transformation,[],[f104]) ).

fof(f172,plain,
    ! [X0,X1,X2] :
      ( ! [X3] : ~ min_precedes(X1,X3,X2)
      | ~ leaf_occ(X1,X0)
      | ~ occurrence_of(X0,X2) ),
    inference(flattening,[],[f171]) ).

fof(f175,plain,
    ! [X0,X1,X2,X3,X4] :
      ( X1 = X2
      | ~ subactivity_occurrence(X1,X4)
      | ~ subactivity_occurrence(X2,X4)
      | ~ occurrence_of(X4,X3)
      | ~ next_subocc(X0,X2,X3)
      | ~ next_subocc(X0,X1,X3) ),
    inference(ennf_transformation,[],[f106]) ).

fof(f176,plain,
    ! [X0,X1,X2,X3,X4] :
      ( X1 = X2
      | ~ subactivity_occurrence(X1,X4)
      | ~ subactivity_occurrence(X2,X4)
      | ~ occurrence_of(X4,X3)
      | ~ next_subocc(X0,X2,X3)
      | ~ next_subocc(X0,X1,X3) ),
    inference(flattening,[],[f175]) ).

fof(f183,plain,
    ! [X0,X1,X2,X3] :
      ( X2 = X3
      | min_precedes(X2,X3,X0)
      | ~ arboreal(X2)
      | ~ leaf_occ(X3,X1)
      | ~ subactivity_occurrence(X2,X1)
      | ~ occurrence_of(X1,X0) ),
    inference(ennf_transformation,[],[f110]) ).

fof(f184,plain,
    ! [X0,X1,X2,X3] :
      ( X2 = X3
      | min_precedes(X2,X3,X0)
      | ~ arboreal(X2)
      | ~ leaf_occ(X3,X1)
      | ~ subactivity_occurrence(X2,X1)
      | ~ occurrence_of(X1,X0) ),
    inference(flattening,[],[f183]) ).

fof(f185,plain,
    ! [X0,X1,X2] :
      ( ( arboreal(X1)
        & arboreal(X0) )
      | ~ next_subocc(X0,X1,X2) ),
    inference(ennf_transformation,[],[f111]) ).

fof(f193,plain,
    ! [X0] :
      ( ? [X1,X2] :
          ( next_subocc(X1,X2,tptp0)
          & leaf_occ(X2,X0)
          & occurrence_of(X2,tptp3)
          & root_occ(X1,X0)
          & occurrence_of(X1,tptp4) )
      | ~ occurrence_of(X0,tptp0) ),
    inference(ennf_transformation,[],[f116]) ).

fof(f198,plain,
    ! [X0,X1] :
      ( ? [X2] :
          ( next_subocc(X0,X2,tptp0)
          & occurrence_of(X2,tptp1) )
      | leaf_occ(X0,X1)
      | ~ arboreal(X0)
      | ~ subactivity_occurrence(X0,X1)
      | ~ occurrence_of(X1,tptp0) ),
    inference(ennf_transformation,[],[f119]) ).

fof(f199,plain,
    ! [X0,X1] :
      ( ? [X2] :
          ( next_subocc(X0,X2,tptp0)
          & occurrence_of(X2,tptp1) )
      | leaf_occ(X0,X1)
      | ~ arboreal(X0)
      | ~ subactivity_occurrence(X0,X1)
      | ~ occurrence_of(X1,tptp0) ),
    inference(flattening,[],[f198]) ).

fof(f200,plain,
    ! [X0] :
      ( ? [X1] :
          ( occurrence_of(X0,X1)
          & activity(X1) )
     => ( occurrence_of(X0,sK0(X0))
        & activity(sK0(X0)) ) ),
    introduced(choice_axiom,[]) ).

fof(f201,plain,
    ! [X0] :
      ( ( occurrence_of(X0,sK0(X0))
        & activity(sK0(X0)) )
      | ~ activity_occurrence(X0) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f123,f200]) ).

fof(f202,plain,
    ! [X0,X1] :
      ( ( ( arboreal(X0)
          | ~ atomic(X1) )
        & ( atomic(X1)
          | ~ arboreal(X0) ) )
      | ~ occurrence_of(X0,X1) ),
    inference(nnf_transformation,[],[f132]) ).

fof(f217,plain,
    ! [X0,X1,X2] :
      ( ( next_subocc(X0,X1,X2)
        | ? [X3] :
            ( min_precedes(X3,X1,X2)
            & min_precedes(X0,X3,X2) )
        | ~ min_precedes(X0,X1,X2) )
      & ( ( ! [X3] :
              ( ~ min_precedes(X3,X1,X2)
              | ~ min_precedes(X0,X3,X2) )
          & min_precedes(X0,X1,X2) )
        | ~ next_subocc(X0,X1,X2) ) ),
    inference(nnf_transformation,[],[f150]) ).

fof(f218,plain,
    ! [X0,X1,X2] :
      ( ( next_subocc(X0,X1,X2)
        | ? [X3] :
            ( min_precedes(X3,X1,X2)
            & min_precedes(X0,X3,X2) )
        | ~ min_precedes(X0,X1,X2) )
      & ( ( ! [X3] :
              ( ~ min_precedes(X3,X1,X2)
              | ~ min_precedes(X0,X3,X2) )
          & min_precedes(X0,X1,X2) )
        | ~ next_subocc(X0,X1,X2) ) ),
    inference(flattening,[],[f217]) ).

fof(f219,plain,
    ! [X0,X1,X2] :
      ( ( next_subocc(X0,X1,X2)
        | ? [X3] :
            ( min_precedes(X3,X1,X2)
            & min_precedes(X0,X3,X2) )
        | ~ min_precedes(X0,X1,X2) )
      & ( ( ! [X4] :
              ( ~ min_precedes(X4,X1,X2)
              | ~ min_precedes(X0,X4,X2) )
          & min_precedes(X0,X1,X2) )
        | ~ next_subocc(X0,X1,X2) ) ),
    inference(rectify,[],[f218]) ).

fof(f220,plain,
    ! [X0,X1,X2] :
      ( ? [X3] :
          ( min_precedes(X3,X1,X2)
          & min_precedes(X0,X3,X2) )
     => ( min_precedes(sK7(X0,X1,X2),X1,X2)
        & min_precedes(X0,sK7(X0,X1,X2),X2) ) ),
    introduced(choice_axiom,[]) ).

fof(f221,plain,
    ! [X0,X1,X2] :
      ( ( next_subocc(X0,X1,X2)
        | ( min_precedes(sK7(X0,X1,X2),X1,X2)
          & min_precedes(X0,sK7(X0,X1,X2),X2) )
        | ~ min_precedes(X0,X1,X2) )
      & ( ( ! [X4] :
              ( ~ min_precedes(X4,X1,X2)
              | ~ min_precedes(X0,X4,X2) )
          & min_precedes(X0,X1,X2) )
        | ~ next_subocc(X0,X1,X2) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK7])],[f219,f220]) ).

fof(f226,plain,
    ! [X0,X1,X2] :
      ( ? [X3] :
          ( subactivity_occurrence(X2,X3)
          & subactivity_occurrence(X1,X3)
          & occurrence_of(X3,X0) )
     => ( subactivity_occurrence(X2,sK9(X0,X1,X2))
        & subactivity_occurrence(X1,sK9(X0,X1,X2))
        & occurrence_of(sK9(X0,X1,X2),X0) ) ),
    introduced(choice_axiom,[]) ).

fof(f227,plain,
    ! [X0,X1,X2] :
      ( ( subactivity_occurrence(X2,sK9(X0,X1,X2))
        & subactivity_occurrence(X1,sK9(X0,X1,X2))
        & occurrence_of(sK9(X0,X1,X2),X0) )
      | ~ min_precedes(X1,X2,X0) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK9])],[f152,f226]) ).

fof(f234,plain,
    ! [X0,X1] :
      ( ( root_occ(X0,X1)
        | ! [X2] :
            ( ~ root(X0,X2)
            | ~ subactivity_occurrence(X0,X1)
            | ~ occurrence_of(X1,X2) ) )
      & ( ? [X2] :
            ( root(X0,X2)
            & subactivity_occurrence(X0,X1)
            & occurrence_of(X1,X2) )
        | ~ root_occ(X0,X1) ) ),
    inference(nnf_transformation,[],[f100]) ).

fof(f235,plain,
    ! [X0,X1] :
      ( ( root_occ(X0,X1)
        | ! [X2] :
            ( ~ root(X0,X2)
            | ~ subactivity_occurrence(X0,X1)
            | ~ occurrence_of(X1,X2) ) )
      & ( ? [X3] :
            ( root(X0,X3)
            & subactivity_occurrence(X0,X1)
            & occurrence_of(X1,X3) )
        | ~ root_occ(X0,X1) ) ),
    inference(rectify,[],[f234]) ).

fof(f236,plain,
    ! [X0,X1] :
      ( ? [X3] :
          ( root(X0,X3)
          & subactivity_occurrence(X0,X1)
          & occurrence_of(X1,X3) )
     => ( root(X0,sK13(X0,X1))
        & subactivity_occurrence(X0,X1)
        & occurrence_of(X1,sK13(X0,X1)) ) ),
    introduced(choice_axiom,[]) ).

fof(f237,plain,
    ! [X0,X1] :
      ( ( root_occ(X0,X1)
        | ! [X2] :
            ( ~ root(X0,X2)
            | ~ subactivity_occurrence(X0,X1)
            | ~ occurrence_of(X1,X2) ) )
      & ( ( root(X0,sK13(X0,X1))
          & subactivity_occurrence(X0,X1)
          & occurrence_of(X1,sK13(X0,X1)) )
        | ~ root_occ(X0,X1) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK13])],[f235,f236]) ).

fof(f244,plain,
    ! [X0] :
      ( ? [X1,X2] :
          ( next_subocc(X1,X2,tptp0)
          & leaf_occ(X2,X0)
          & occurrence_of(X2,tptp3)
          & root_occ(X1,X0)
          & occurrence_of(X1,tptp4) )
     => ( next_subocc(sK16(X0),sK17(X0),tptp0)
        & leaf_occ(sK17(X0),X0)
        & occurrence_of(sK17(X0),tptp3)
        & root_occ(sK16(X0),X0)
        & occurrence_of(sK16(X0),tptp4) ) ),
    introduced(choice_axiom,[]) ).

fof(f245,plain,
    ! [X0] :
      ( ( next_subocc(sK16(X0),sK17(X0),tptp0)
        & leaf_occ(sK17(X0),X0)
        & occurrence_of(sK17(X0),tptp3)
        & root_occ(sK16(X0),X0)
        & occurrence_of(sK16(X0),tptp4) )
      | ~ occurrence_of(X0,tptp0) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK16,sK17])],[f193,f244]) ).

fof(f246,plain,
    ! [X0] :
      ( ? [X2] :
          ( next_subocc(X0,X2,tptp0)
          & occurrence_of(X2,tptp1) )
     => ( next_subocc(X0,sK18(X0),tptp0)
        & occurrence_of(sK18(X0),tptp1) ) ),
    introduced(choice_axiom,[]) ).

fof(f247,plain,
    ! [X0,X1] :
      ( ( next_subocc(X0,sK18(X0),tptp0)
        & occurrence_of(sK18(X0),tptp1) )
      | leaf_occ(X0,X1)
      | ~ arboreal(X0)
      | ~ subactivity_occurrence(X0,X1)
      | ~ occurrence_of(X1,tptp0) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK18])],[f199,f246]) ).

fof(f248,plain,
    ( ? [X0] : occurrence_of(X0,tptp0)
   => occurrence_of(sK19,tptp0) ),
    introduced(choice_axiom,[]) ).

fof(f249,plain,
    occurrence_of(sK19,tptp0),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK19])],[f121,f248]) ).

fof(f251,plain,
    ! [X0,X1] :
      ( activity_occurrence(X1)
      | ~ occurrence_of(X1,X0) ),
    inference(cnf_transformation,[],[f122]) ).

fof(f253,plain,
    ! [X0] :
      ( occurrence_of(X0,sK0(X0))
      | ~ activity_occurrence(X0) ),
    inference(cnf_transformation,[],[f201]) ).

fof(f254,plain,
    ! [X2,X0,X1] :
      ( X1 = X2
      | ~ occurrence_of(X0,X2)
      | ~ occurrence_of(X0,X1) ),
    inference(cnf_transformation,[],[f125]) ).

fof(f260,plain,
    ! [X0,X1] :
      ( arboreal(X0)
      | ~ atomic(X1)
      | ~ occurrence_of(X0,X1) ),
    inference(cnf_transformation,[],[f202]) ).

fof(f261,plain,
    ! [X0] :
      ( arboreal(X0)
      | ~ legal(X0) ),
    inference(cnf_transformation,[],[f133]) ).

fof(f274,plain,
    ! [X2,X0,X1] :
      ( ~ root(X1,X2)
      | ~ min_precedes(X0,X1,X2) ),
    inference(cnf_transformation,[],[f139]) ).

fof(f276,plain,
    ! [X0,X1] :
      ( legal(X0)
      | ~ root(X0,X1) ),
    inference(cnf_transformation,[],[f141]) ).

fof(f285,plain,
    ! [X2,X0,X1] :
      ( min_precedes(X0,X1,X2)
      | ~ next_subocc(X0,X1,X2) ),
    inference(cnf_transformation,[],[f221]) ).

fof(f295,plain,
    ! [X2,X0,X1] :
      ( occurrence_of(sK9(X0,X1,X2),X0)
      | ~ min_precedes(X1,X2,X0) ),
    inference(cnf_transformation,[],[f227]) ).

fof(f296,plain,
    ! [X2,X0,X1] :
      ( subactivity_occurrence(X1,sK9(X0,X1,X2))
      | ~ min_precedes(X1,X2,X0) ),
    inference(cnf_transformation,[],[f227]) ).

fof(f297,plain,
    ! [X2,X0,X1] :
      ( subactivity_occurrence(X2,sK9(X0,X1,X2))
      | ~ min_precedes(X1,X2,X0) ),
    inference(cnf_transformation,[],[f227]) ).

fof(f308,plain,
    ! [X0,X1] :
      ( occurrence_of(X1,sK13(X0,X1))
      | ~ root_occ(X0,X1) ),
    inference(cnf_transformation,[],[f237]) ).

fof(f309,plain,
    ! [X0,X1] :
      ( subactivity_occurrence(X0,X1)
      | ~ root_occ(X0,X1) ),
    inference(cnf_transformation,[],[f237]) ).

fof(f310,plain,
    ! [X0,X1] :
      ( root(X0,sK13(X0,X1))
      | ~ root_occ(X0,X1) ),
    inference(cnf_transformation,[],[f237]) ).

fof(f311,plain,
    ! [X2,X0,X1] :
      ( root_occ(X0,X1)
      | ~ root(X0,X2)
      | ~ subactivity_occurrence(X0,X1)
      | ~ occurrence_of(X1,X2) ),
    inference(cnf_transformation,[],[f237]) ).

fof(f316,plain,
    ! [X2,X3,X0,X1] :
      ( X0 = X1
      | ~ root_occ(X1,X2)
      | ~ root_occ(X0,X2)
      | ~ occurrence_of(X2,X3) ),
    inference(cnf_transformation,[],[f168]) ).

fof(f318,plain,
    ! [X2,X3,X0,X1] :
      ( ~ min_precedes(X1,X3,X2)
      | ~ leaf_occ(X1,X0)
      | ~ occurrence_of(X0,X2) ),
    inference(cnf_transformation,[],[f172]) ).

fof(f320,plain,
    ! [X2,X3,X0,X1,X4] :
      ( X1 = X2
      | ~ subactivity_occurrence(X1,X4)
      | ~ subactivity_occurrence(X2,X4)
      | ~ occurrence_of(X4,X3)
      | ~ next_subocc(X0,X2,X3)
      | ~ next_subocc(X0,X1,X3) ),
    inference(cnf_transformation,[],[f176]) ).

fof(f324,plain,
    ! [X2,X3,X0,X1] :
      ( X2 = X3
      | min_precedes(X2,X3,X0)
      | ~ arboreal(X2)
      | ~ leaf_occ(X3,X1)
      | ~ subactivity_occurrence(X2,X1)
      | ~ occurrence_of(X1,X0) ),
    inference(cnf_transformation,[],[f184]) ).

fof(f325,plain,
    ! [X2,X0,X1] :
      ( arboreal(X0)
      | ~ next_subocc(X0,X1,X2) ),
    inference(cnf_transformation,[],[f185]) ).

fof(f333,plain,
    ! [X0] :
      ( root_occ(sK16(X0),X0)
      | ~ occurrence_of(X0,tptp0) ),
    inference(cnf_transformation,[],[f245]) ).

fof(f334,plain,
    ! [X0] :
      ( occurrence_of(sK17(X0),tptp3)
      | ~ occurrence_of(X0,tptp0) ),
    inference(cnf_transformation,[],[f245]) ).

fof(f335,plain,
    ! [X0] :
      ( leaf_occ(sK17(X0),X0)
      | ~ occurrence_of(X0,tptp0) ),
    inference(cnf_transformation,[],[f245]) ).

fof(f336,plain,
    ! [X0] :
      ( next_subocc(sK16(X0),sK17(X0),tptp0)
      | ~ occurrence_of(X0,tptp0) ),
    inference(cnf_transformation,[],[f245]) ).

fof(f342,plain,
    atomic(tptp1),
    inference(cnf_transformation,[],[f56]) ).

fof(f346,plain,
    tptp3 != tptp1,
    inference(cnf_transformation,[],[f60]) ).

fof(f351,plain,
    ! [X0,X1] :
      ( occurrence_of(sK18(X0),tptp1)
      | leaf_occ(X0,X1)
      | ~ arboreal(X0)
      | ~ subactivity_occurrence(X0,X1)
      | ~ occurrence_of(X1,tptp0) ),
    inference(cnf_transformation,[],[f247]) ).

fof(f352,plain,
    ! [X0,X1] :
      ( next_subocc(X0,sK18(X0),tptp0)
      | leaf_occ(X0,X1)
      | ~ arboreal(X0)
      | ~ subactivity_occurrence(X0,X1)
      | ~ occurrence_of(X1,tptp0) ),
    inference(cnf_transformation,[],[f247]) ).

fof(f353,plain,
    occurrence_of(sK19,tptp0),
    inference(cnf_transformation,[],[f249]) ).

cnf(c_49,plain,
    ( ~ occurrence_of(X0,X1)
    | activity_occurrence(X0) ),
    inference(cnf_transformation,[],[f251]) ).

cnf(c_51,plain,
    ( ~ activity_occurrence(X0)
    | occurrence_of(X0,sK0(X0)) ),
    inference(cnf_transformation,[],[f253]) ).

cnf(c_53,plain,
    ( ~ occurrence_of(X0,X1)
    | ~ occurrence_of(X0,X2)
    | X1 = X2 ),
    inference(cnf_transformation,[],[f254]) ).

cnf(c_58,plain,
    ( ~ occurrence_of(X0,X1)
    | ~ atomic(X1)
    | arboreal(X0) ),
    inference(cnf_transformation,[],[f260]) ).

cnf(c_60,plain,
    ( ~ legal(X0)
    | arboreal(X0) ),
    inference(cnf_transformation,[],[f261]) ).

cnf(c_73,plain,
    ( ~ min_precedes(X0,X1,X2)
    | ~ root(X1,X2) ),
    inference(cnf_transformation,[],[f274]) ).

cnf(c_75,plain,
    ( ~ root(X0,X1)
    | legal(X0) ),
    inference(cnf_transformation,[],[f276]) ).

cnf(c_87,plain,
    ( ~ next_subocc(X0,X1,X2)
    | min_precedes(X0,X1,X2) ),
    inference(cnf_transformation,[],[f285]) ).

cnf(c_94,plain,
    ( ~ min_precedes(X0,X1,X2)
    | subactivity_occurrence(X1,sK9(X2,X0,X1)) ),
    inference(cnf_transformation,[],[f297]) ).

cnf(c_95,plain,
    ( ~ min_precedes(X0,X1,X2)
    | subactivity_occurrence(X0,sK9(X2,X0,X1)) ),
    inference(cnf_transformation,[],[f296]) ).

cnf(c_96,plain,
    ( ~ min_precedes(X0,X1,X2)
    | occurrence_of(sK9(X2,X0,X1),X2) ),
    inference(cnf_transformation,[],[f295]) ).

cnf(c_107,plain,
    ( ~ occurrence_of(X0,X1)
    | ~ root(X2,X1)
    | ~ subactivity_occurrence(X2,X0)
    | root_occ(X2,X0) ),
    inference(cnf_transformation,[],[f311]) ).

cnf(c_108,plain,
    ( ~ root_occ(X0,X1)
    | root(X0,sK13(X0,X1)) ),
    inference(cnf_transformation,[],[f310]) ).

cnf(c_109,plain,
    ( ~ root_occ(X0,X1)
    | subactivity_occurrence(X0,X1) ),
    inference(cnf_transformation,[],[f309]) ).

cnf(c_110,plain,
    ( ~ root_occ(X0,X1)
    | occurrence_of(X1,sK13(X0,X1)) ),
    inference(cnf_transformation,[],[f308]) ).

cnf(c_115,plain,
    ( ~ occurrence_of(X0,X1)
    | ~ root_occ(X2,X0)
    | ~ root_occ(X3,X0)
    | X2 = X3 ),
    inference(cnf_transformation,[],[f316]) ).

cnf(c_117,plain,
    ( ~ min_precedes(X0,X1,X2)
    | ~ occurrence_of(X3,X2)
    | ~ leaf_occ(X0,X3) ),
    inference(cnf_transformation,[],[f318]) ).

cnf(c_119,plain,
    ( ~ next_subocc(X0,X1,X2)
    | ~ next_subocc(X0,X3,X2)
    | ~ occurrence_of(X4,X2)
    | ~ subactivity_occurrence(X1,X4)
    | ~ subactivity_occurrence(X3,X4)
    | X1 = X3 ),
    inference(cnf_transformation,[],[f320]) ).

cnf(c_123,plain,
    ( ~ occurrence_of(X0,X1)
    | ~ subactivity_occurrence(X2,X0)
    | ~ leaf_occ(X3,X0)
    | ~ arboreal(X2)
    | X2 = X3
    | min_precedes(X2,X3,X1) ),
    inference(cnf_transformation,[],[f324]) ).

cnf(c_125,plain,
    ( ~ next_subocc(X0,X1,X2)
    | arboreal(X0) ),
    inference(cnf_transformation,[],[f325]) ).

cnf(c_131,plain,
    ( ~ occurrence_of(X0,tptp0)
    | next_subocc(sK16(X0),sK17(X0),tptp0) ),
    inference(cnf_transformation,[],[f336]) ).

cnf(c_132,plain,
    ( ~ occurrence_of(X0,tptp0)
    | leaf_occ(sK17(X0),X0) ),
    inference(cnf_transformation,[],[f335]) ).

cnf(c_133,plain,
    ( ~ occurrence_of(X0,tptp0)
    | occurrence_of(sK17(X0),tptp3) ),
    inference(cnf_transformation,[],[f334]) ).

cnf(c_134,plain,
    ( ~ occurrence_of(X0,tptp0)
    | root_occ(sK16(X0),X0) ),
    inference(cnf_transformation,[],[f333]) ).

cnf(c_141,plain,
    atomic(tptp1),
    inference(cnf_transformation,[],[f342]) ).

cnf(c_145,plain,
    tptp3 != tptp1,
    inference(cnf_transformation,[],[f346]) ).

cnf(c_150,plain,
    ( ~ subactivity_occurrence(X0,X1)
    | ~ occurrence_of(X1,tptp0)
    | ~ arboreal(X0)
    | next_subocc(X0,sK18(X0),tptp0)
    | leaf_occ(X0,X1) ),
    inference(cnf_transformation,[],[f352]) ).

cnf(c_151,plain,
    ( ~ subactivity_occurrence(X0,X1)
    | ~ occurrence_of(X1,tptp0)
    | ~ arboreal(X0)
    | occurrence_of(sK18(X0),tptp1)
    | leaf_occ(X0,X1) ),
    inference(cnf_transformation,[],[f351]) ).

cnf(c_152,negated_conjecture,
    occurrence_of(sK19,tptp0),
    inference(cnf_transformation,[],[f353]) ).

cnf(c_7356,negated_conjecture,
    occurrence_of(sK19,tptp0),
    inference(subtyping,[status(esa)],[c_152]) ).

cnf(c_7357,plain,
    ( ~ subactivity_occurrence(X0_13,X1_13)
    | ~ occurrence_of(X1_13,tptp0)
    | ~ arboreal(X0_13)
    | occurrence_of(sK18(X0_13),tptp1)
    | leaf_occ(X0_13,X1_13) ),
    inference(subtyping,[status(esa)],[c_151]) ).

cnf(c_7358,plain,
    ( ~ subactivity_occurrence(X0_13,X1_13)
    | ~ occurrence_of(X1_13,tptp0)
    | ~ arboreal(X0_13)
    | next_subocc(X0_13,sK18(X0_13),tptp0)
    | leaf_occ(X0_13,X1_13) ),
    inference(subtyping,[status(esa)],[c_150]) ).

cnf(c_7362,plain,
    tptp3 != tptp1,
    inference(subtyping,[status(esa)],[c_145]) ).

cnf(c_7373,plain,
    ( ~ occurrence_of(X0_13,tptp0)
    | root_occ(sK16(X0_13),X0_13) ),
    inference(subtyping,[status(esa)],[c_134]) ).

cnf(c_7374,plain,
    ( ~ occurrence_of(X0_13,tptp0)
    | occurrence_of(sK17(X0_13),tptp3) ),
    inference(subtyping,[status(esa)],[c_133]) ).

cnf(c_7375,plain,
    ( ~ occurrence_of(X0_13,tptp0)
    | leaf_occ(sK17(X0_13),X0_13) ),
    inference(subtyping,[status(esa)],[c_132]) ).

cnf(c_7376,plain,
    ( ~ occurrence_of(X0_13,tptp0)
    | next_subocc(sK16(X0_13),sK17(X0_13),tptp0) ),
    inference(subtyping,[status(esa)],[c_131]) ).

cnf(c_7382,plain,
    ( ~ next_subocc(X0_13,X1_13,X0_14)
    | arboreal(X0_13) ),
    inference(subtyping,[status(esa)],[c_125]) ).

cnf(c_7384,plain,
    ( ~ occurrence_of(X0_13,X0_14)
    | ~ subactivity_occurrence(X1_13,X0_13)
    | ~ leaf_occ(X2_13,X0_13)
    | ~ arboreal(X1_13)
    | X1_13 = X2_13
    | min_precedes(X1_13,X2_13,X0_14) ),
    inference(subtyping,[status(esa)],[c_123]) ).

cnf(c_7388,plain,
    ( ~ next_subocc(X0_13,X1_13,X0_14)
    | ~ next_subocc(X0_13,X2_13,X0_14)
    | ~ occurrence_of(X3_13,X0_14)
    | ~ subactivity_occurrence(X1_13,X3_13)
    | ~ subactivity_occurrence(X2_13,X3_13)
    | X1_13 = X2_13 ),
    inference(subtyping,[status(esa)],[c_119]) ).

cnf(c_7390,plain,
    ( ~ min_precedes(X0_13,X1_13,X0_14)
    | ~ occurrence_of(X2_13,X0_14)
    | ~ leaf_occ(X0_13,X2_13) ),
    inference(subtyping,[status(esa)],[c_117]) ).

cnf(c_7392,plain,
    ( ~ occurrence_of(X0_13,X0_14)
    | ~ root_occ(X1_13,X0_13)
    | ~ root_occ(X2_13,X0_13)
    | X2_13 = X1_13 ),
    inference(subtyping,[status(esa)],[c_115]) ).

cnf(c_7397,plain,
    ( ~ root_occ(X0_13,X1_13)
    | occurrence_of(X1_13,sK13(X0_13,X1_13)) ),
    inference(subtyping,[status(esa)],[c_110]) ).

cnf(c_7398,plain,
    ( ~ root_occ(X0_13,X1_13)
    | subactivity_occurrence(X0_13,X1_13) ),
    inference(subtyping,[status(esa)],[c_109]) ).

cnf(c_7399,plain,
    ( ~ root_occ(X0_13,X1_13)
    | root(X0_13,sK13(X0_13,X1_13)) ),
    inference(subtyping,[status(esa)],[c_108]) ).

cnf(c_7400,plain,
    ( ~ occurrence_of(X0_13,X0_14)
    | ~ root(X1_13,X0_14)
    | ~ subactivity_occurrence(X1_13,X0_13)
    | root_occ(X1_13,X0_13) ),
    inference(subtyping,[status(esa)],[c_107]) ).

cnf(c_7411,plain,
    ( ~ min_precedes(X0_13,X1_13,X0_14)
    | occurrence_of(sK9(X0_14,X0_13,X1_13),X0_14) ),
    inference(subtyping,[status(esa)],[c_96]) ).

cnf(c_7412,plain,
    ( ~ min_precedes(X0_13,X1_13,X0_14)
    | subactivity_occurrence(X0_13,sK9(X0_14,X0_13,X1_13)) ),
    inference(subtyping,[status(esa)],[c_95]) ).

cnf(c_7413,plain,
    ( ~ min_precedes(X0_13,X1_13,X0_14)
    | subactivity_occurrence(X1_13,sK9(X0_14,X0_13,X1_13)) ),
    inference(subtyping,[status(esa)],[c_94]) ).

cnf(c_7420,plain,
    ( ~ next_subocc(X0_13,X1_13,X0_14)
    | min_precedes(X0_13,X1_13,X0_14) ),
    inference(subtyping,[status(esa)],[c_87]) ).

cnf(c_7432,plain,
    ( ~ root(X0_13,X0_14)
    | legal(X0_13) ),
    inference(subtyping,[status(esa)],[c_75]) ).

cnf(c_7434,plain,
    ( ~ min_precedes(X0_13,X1_13,X0_14)
    | ~ root(X1_13,X0_14) ),
    inference(subtyping,[status(esa)],[c_73]) ).

cnf(c_7447,plain,
    ( ~ legal(X0_13)
    | arboreal(X0_13) ),
    inference(subtyping,[status(esa)],[c_60]) ).

cnf(c_7449,plain,
    ( ~ occurrence_of(X0_13,X0_14)
    | ~ atomic(X0_14)
    | arboreal(X0_13) ),
    inference(subtyping,[status(esa)],[c_58]) ).

cnf(c_7454,plain,
    ( ~ occurrence_of(X0_13,X0_14)
    | ~ occurrence_of(X0_13,X1_14)
    | X0_14 = X1_14 ),
    inference(subtyping,[status(esa)],[c_53]) ).

cnf(c_7456,plain,
    ( ~ activity_occurrence(X0_13)
    | occurrence_of(X0_13,sK0(X0_13)) ),
    inference(subtyping,[status(esa)],[c_51]) ).

cnf(c_7458,plain,
    ( ~ occurrence_of(X0_13,X0_14)
    | activity_occurrence(X0_13) ),
    inference(subtyping,[status(esa)],[c_49]) ).

cnf(c_7460,plain,
    X0_13 = X0_13,
    theory(equality) ).

cnf(c_7461,plain,
    X0_14 = X0_14,
    theory(equality) ).

cnf(c_7464,plain,
    ( X0_13 != X1_13
    | X0_14 != X1_14
    | ~ occurrence_of(X1_13,X1_14)
    | occurrence_of(X0_13,X0_14) ),
    theory(equality) ).

cnf(c_7472,plain,
    ( X0_13 != X1_13
    | X0_14 != X1_14
    | X2_13 != X3_13
    | ~ next_subocc(X1_13,X3_13,X1_14)
    | next_subocc(X0_13,X2_13,X0_14) ),
    theory(equality) ).

cnf(c_7478,plain,
    tptp0 = tptp0,
    inference(instantiation,[status(thm)],[c_7461]) ).

cnf(c_7483,plain,
    ( ~ occurrence_of(sK19,tptp0)
    | root_occ(sK16(sK19),sK19) ),
    inference(instantiation,[status(thm)],[c_7373]) ).

cnf(c_7486,plain,
    ( ~ occurrence_of(sK19,tptp0)
    | next_subocc(sK16(sK19),sK17(sK19),tptp0) ),
    inference(instantiation,[status(thm)],[c_7376]) ).

cnf(c_8904,plain,
    ( ~ occurrence_of(X0_13,tptp3)
    | ~ occurrence_of(X0_13,tptp1)
    | tptp3 = tptp1 ),
    inference(instantiation,[status(thm)],[c_7454]) ).

cnf(c_8915,plain,
    ( ~ occurrence_of(X0_13,tptp1)
    | ~ atomic(tptp1)
    | arboreal(X0_13) ),
    inference(instantiation,[status(thm)],[c_7449]) ).

cnf(c_8938,plain,
    ( ~ next_subocc(sK16(X0_13),sK17(X0_13),tptp0)
    | arboreal(sK16(X0_13)) ),
    inference(instantiation,[status(thm)],[c_7382]) ).

cnf(c_8939,plain,
    ( ~ next_subocc(sK16(sK19),sK17(sK19),tptp0)
    | arboreal(sK16(sK19)) ),
    inference(instantiation,[status(thm)],[c_8938]) ).

cnf(c_8952,plain,
    ( ~ next_subocc(sK16(X0_13),sK17(X0_13),tptp0)
    | min_precedes(sK16(X0_13),sK17(X0_13),tptp0) ),
    inference(instantiation,[status(thm)],[c_7420]) ).

cnf(c_8953,plain,
    ( ~ next_subocc(sK16(sK19),sK17(sK19),tptp0)
    | min_precedes(sK16(sK19),sK17(sK19),tptp0) ),
    inference(instantiation,[status(thm)],[c_8952]) ).

cnf(c_8997,plain,
    ( ~ subactivity_occurrence(sK16(X0_13),X1_13)
    | ~ occurrence_of(X1_13,tptp0)
    | ~ arboreal(sK16(X0_13))
    | next_subocc(sK16(X0_13),sK18(sK16(X0_13)),tptp0)
    | leaf_occ(sK16(X0_13),X1_13) ),
    inference(instantiation,[status(thm)],[c_7358]) ).

cnf(c_8998,plain,
    ( ~ subactivity_occurrence(sK16(X0_13),X1_13)
    | ~ occurrence_of(X1_13,tptp0)
    | ~ arboreal(sK16(X0_13))
    | occurrence_of(sK18(sK16(X0_13)),tptp1)
    | leaf_occ(sK16(X0_13),X1_13) ),
    inference(instantiation,[status(thm)],[c_7357]) ).

cnf(c_9001,plain,
    ( ~ subactivity_occurrence(sK16(sK19),sK19)
    | ~ occurrence_of(sK19,tptp0)
    | ~ arboreal(sK16(sK19))
    | occurrence_of(sK18(sK16(sK19)),tptp1)
    | leaf_occ(sK16(sK19),sK19) ),
    inference(instantiation,[status(thm)],[c_8998]) ).

cnf(c_9002,plain,
    ( ~ subactivity_occurrence(sK16(sK19),sK19)
    | ~ occurrence_of(sK19,tptp0)
    | ~ arboreal(sK16(sK19))
    | next_subocc(sK16(sK19),sK18(sK16(sK19)),tptp0)
    | leaf_occ(sK16(sK19),sK19) ),
    inference(instantiation,[status(thm)],[c_8997]) ).

cnf(c_9055,plain,
    ( ~ occurrence_of(X0_13,tptp0)
    | subactivity_occurrence(sK16(X0_13),X0_13) ),
    inference(superposition,[status(thm)],[c_7373,c_7398]) ).

cnf(c_9056,plain,
    ( ~ occurrence_of(sK19,tptp0)
    | subactivity_occurrence(sK16(sK19),sK19) ),
    inference(instantiation,[status(thm)],[c_9055]) ).

cnf(c_9122,plain,
    ( ~ min_precedes(sK16(X0_13),sK17(X0_13),tptp0)
    | ~ leaf_occ(sK16(X0_13),X1_13)
    | ~ occurrence_of(X1_13,tptp0) ),
    inference(instantiation,[status(thm)],[c_7390]) ).

cnf(c_9125,plain,
    ( ~ min_precedes(sK16(sK19),sK17(sK19),tptp0)
    | ~ leaf_occ(sK16(sK19),sK19)
    | ~ occurrence_of(sK19,tptp0) ),
    inference(instantiation,[status(thm)],[c_9122]) ).

cnf(c_9746,plain,
    ( ~ occurrence_of(X0_13,X0_14)
    | ~ activity_occurrence(X0_13)
    | sK0(X0_13) = X0_14 ),
    inference(superposition,[status(thm)],[c_7456,c_7454]) ).

cnf(c_10283,plain,
    ( ~ occurrence_of(sK19,X0_14)
    | X0_14 = tptp0 ),
    inference(superposition,[status(thm)],[c_7356,c_7454]) ).

cnf(c_10301,plain,
    ( ~ root_occ(X0_13,sK19)
    | sK13(X0_13,sK19) = tptp0 ),
    inference(superposition,[status(thm)],[c_7397,c_10283]) ).

cnf(c_10342,plain,
    ( ~ occurrence_of(sK19,tptp0)
    | sK13(sK16(sK19),sK19) = tptp0 ),
    inference(superposition,[status(thm)],[c_7373,c_10301]) ).

cnf(c_10343,plain,
    sK13(sK16(sK19),sK19) = tptp0,
    inference(forward_subsumption_resolution,[status(thm)],[c_10342,c_7356]) ).

cnf(c_10347,plain,
    ( ~ root_occ(sK16(sK19),sK19)
    | root(sK16(sK19),tptp0) ),
    inference(superposition,[status(thm)],[c_10343,c_7399]) ).

cnf(c_10749,plain,
    tptp3 = tptp3,
    inference(instantiation,[status(thm)],[c_7461]) ).

cnf(c_10792,plain,
    ( ~ occurrence_of(sK18(sK16(X0_13)),tptp1)
    | ~ atomic(tptp1)
    | arboreal(sK18(sK16(X0_13))) ),
    inference(instantiation,[status(thm)],[c_8915]) ).

cnf(c_10794,plain,
    ( ~ occurrence_of(sK18(sK16(X0_13)),tptp3)
    | ~ occurrence_of(sK18(sK16(X0_13)),tptp1)
    | tptp3 = tptp1 ),
    inference(instantiation,[status(thm)],[c_8904]) ).

cnf(c_10797,plain,
    ( ~ occurrence_of(sK18(sK16(sK19)),tptp3)
    | ~ occurrence_of(sK18(sK16(sK19)),tptp1)
    | tptp3 = tptp1 ),
    inference(instantiation,[status(thm)],[c_10794]) ).

cnf(c_10799,plain,
    ( ~ occurrence_of(sK18(sK16(sK19)),tptp1)
    | ~ atomic(tptp1)
    | arboreal(sK18(sK16(sK19))) ),
    inference(instantiation,[status(thm)],[c_10792]) ).

cnf(c_10909,plain,
    ( ~ next_subocc(sK16(X0_13),sK18(sK16(X0_13)),tptp0)
    | min_precedes(sK16(X0_13),sK18(sK16(X0_13)),tptp0) ),
    inference(instantiation,[status(thm)],[c_7420]) ).

cnf(c_10913,plain,
    ( ~ next_subocc(sK16(sK19),sK18(sK16(sK19)),tptp0)
    | min_precedes(sK16(sK19),sK18(sK16(sK19)),tptp0) ),
    inference(instantiation,[status(thm)],[c_10909]) ).

cnf(c_12812,plain,
    ( ~ occurrence_of(X0_13,X0_14)
    | ~ activity_occurrence(X0_13)
    | sK0(X0_13) = X0_14 ),
    inference(superposition,[status(thm)],[c_7456,c_7454]) ).

cnf(c_14750,plain,
    ( ~ min_precedes(sK16(X0_13),sK18(sK16(X0_13)),tptp0)
    | subactivity_occurrence(sK18(sK16(X0_13)),sK9(tptp0,sK16(X0_13),sK18(sK16(X0_13)))) ),
    inference(instantiation,[status(thm)],[c_7413]) ).

cnf(c_14751,plain,
    ( ~ min_precedes(sK16(X0_13),sK18(sK16(X0_13)),tptp0)
    | subactivity_occurrence(sK16(X0_13),sK9(tptp0,sK16(X0_13),sK18(sK16(X0_13)))) ),
    inference(instantiation,[status(thm)],[c_7412]) ).

cnf(c_14757,plain,
    ( ~ min_precedes(sK16(X0_13),sK18(sK16(X0_13)),tptp0)
    | occurrence_of(sK9(tptp0,sK16(X0_13),sK18(sK16(X0_13))),tptp0) ),
    inference(instantiation,[status(thm)],[c_7411]) ).

cnf(c_14761,plain,
    ( ~ min_precedes(sK16(sK19),sK18(sK16(sK19)),tptp0)
    | occurrence_of(sK9(tptp0,sK16(sK19),sK18(sK16(sK19))),tptp0) ),
    inference(instantiation,[status(thm)],[c_14757]) ).

cnf(c_14765,plain,
    ( ~ min_precedes(sK16(sK19),sK18(sK16(sK19)),tptp0)
    | subactivity_occurrence(sK16(sK19),sK9(tptp0,sK16(sK19),sK18(sK16(sK19)))) ),
    inference(instantiation,[status(thm)],[c_14751]) ).

cnf(c_14766,plain,
    ( ~ min_precedes(sK16(sK19),sK18(sK16(sK19)),tptp0)
    | subactivity_occurrence(sK18(sK16(sK19)),sK9(tptp0,sK16(sK19),sK18(sK16(sK19)))) ),
    inference(instantiation,[status(thm)],[c_14750]) ).

cnf(c_15330,plain,
    ( ~ occurrence_of(X0_13,X0_14)
    | sK0(X0_13) = X0_14 ),
    inference(global_subsumption_just,[status(thm)],[c_12812,c_7458,c_9746]) ).

cnf(c_110238,plain,
    ( ~ root_occ(X0_13,X1_13)
    | legal(X0_13) ),
    inference(superposition,[status(thm)],[c_7399,c_7432]) ).

cnf(c_110260,plain,
    ( ~ occurrence_of(X0_13,tptp0)
    | legal(sK16(X0_13)) ),
    inference(superposition,[status(thm)],[c_7373,c_110238]) ).

cnf(c_110264,plain,
    ( ~ occurrence_of(X0_13,tptp0)
    | activity_occurrence(sK17(X0_13)) ),
    inference(superposition,[status(thm)],[c_7374,c_7458]) ).

cnf(c_110278,plain,
    legal(sK16(sK19)),
    inference(superposition,[status(thm)],[c_7356,c_110260]) ).

cnf(c_110279,plain,
    arboreal(sK16(sK19)),
    inference(superposition,[status(thm)],[c_110278,c_7447]) ).

cnf(c_110665,plain,
    ( ~ occurrence_of(sK19,X0_14)
    | X0_14 = tptp0 ),
    inference(superposition,[status(thm)],[c_7356,c_7454]) ).

cnf(c_110674,plain,
    ( ~ occurrence_of(X0_13,X0_14)
    | ~ activity_occurrence(X0_13)
    | sK0(X0_13) = X0_14 ),
    inference(superposition,[status(thm)],[c_7456,c_7454]) ).

cnf(c_110683,plain,
    ( ~ occurrence_of(X0_13,X0_14)
    | sK0(X0_13) = X0_14 ),
    inference(global_subsumption_just,[status(thm)],[c_110674,c_15330]) ).

cnf(c_110689,plain,
    ( ~ occurrence_of(X0_13,tptp0)
    | sK0(sK17(X0_13)) = tptp3 ),
    inference(superposition,[status(thm)],[c_7374,c_110683]) ).

cnf(c_110694,plain,
    ( ~ min_precedes(X0_13,X1_13,X0_14)
    | sK0(sK9(X0_14,X0_13,X1_13)) = X0_14 ),
    inference(superposition,[status(thm)],[c_7411,c_110683]) ).

cnf(c_110716,plain,
    ( ~ root_occ(X0_13,sK19)
    | sK13(X0_13,sK19) = tptp0 ),
    inference(superposition,[status(thm)],[c_7397,c_110665]) ).

cnf(c_110731,plain,
    ( ~ occurrence_of(sK19,tptp0)
    | sK13(sK16(sK19),sK19) = tptp0 ),
    inference(superposition,[status(thm)],[c_7373,c_110716]) ).

cnf(c_110732,plain,
    sK13(sK16(sK19),sK19) = tptp0,
    inference(forward_subsumption_resolution,[status(thm)],[c_110731,c_7356]) ).

cnf(c_110735,plain,
    ( ~ root_occ(sK16(sK19),sK19)
    | root(sK16(sK19),tptp0) ),
    inference(superposition,[status(thm)],[c_110732,c_7399]) ).

cnf(c_110736,plain,
    root(sK16(sK19),tptp0),
    inference(global_subsumption_just,[status(thm)],[c_110735,c_152,c_7483,c_10347]) ).

cnf(c_110861,plain,
    ( ~ root(X0_13,tptp0)
    | ~ subactivity_occurrence(X0_13,sK19)
    | root_occ(X0_13,sK19) ),
    inference(superposition,[status(thm)],[c_7356,c_7400]) ).

cnf(c_110899,plain,
    ( ~ subactivity_occurrence(sK16(sK19),sK19)
    | root_occ(sK16(sK19),sK19) ),
    inference(superposition,[status(thm)],[c_110736,c_110861]) ).

cnf(c_110908,plain,
    root_occ(sK16(sK19),sK19),
    inference(global_subsumption_just,[status(thm)],[c_110899,c_152,c_7483]) ).

cnf(c_110914,plain,
    subactivity_occurrence(sK16(sK19),sK19),
    inference(superposition,[status(thm)],[c_110908,c_7398]) ).

cnf(c_111479,plain,
    ( ~ subactivity_occurrence(X0_13,sK19)
    | ~ leaf_occ(X1_13,sK19)
    | ~ arboreal(X0_13)
    | X0_13 = X1_13
    | min_precedes(X0_13,X1_13,tptp0) ),
    inference(superposition,[status(thm)],[c_7356,c_7384]) ).

cnf(c_111590,plain,
    ( ~ root(X0_13,tptp0)
    | ~ subactivity_occurrence(X1_13,sK19)
    | ~ leaf_occ(X0_13,sK19)
    | ~ arboreal(X1_13)
    | X0_13 = X1_13 ),
    inference(superposition,[status(thm)],[c_111479,c_7434]) ).

cnf(c_111944,plain,
    ( ~ min_precedes(X0_13,X1_13,tptp0)
    | sK0(sK17(sK9(tptp0,X0_13,X1_13))) = tptp3 ),
    inference(superposition,[status(thm)],[c_7411,c_110689]) ).

cnf(c_112186,plain,
    ( ~ leaf_occ(sK16(sK19),sK19)
    | ~ subactivity_occurrence(X0_13,sK19)
    | ~ arboreal(X0_13)
    | sK16(sK19) = X0_13 ),
    inference(superposition,[status(thm)],[c_110736,c_111590]) ).

cnf(c_114554,plain,
    ~ leaf_occ(sK16(sK19),sK19),
    inference(global_subsumption_just,[status(thm)],[c_112186,c_152,c_7486,c_8953,c_9125]) ).

cnf(c_114556,plain,
    ( ~ subactivity_occurrence(sK16(sK19),sK19)
    | ~ occurrence_of(sK19,tptp0)
    | ~ arboreal(sK16(sK19))
    | next_subocc(sK16(sK19),sK18(sK16(sK19)),tptp0) ),
    inference(superposition,[status(thm)],[c_7358,c_114554]) ).

cnf(c_114558,plain,
    next_subocc(sK16(sK19),sK18(sK16(sK19)),tptp0),
    inference(forward_subsumption_resolution,[status(thm)],[c_114556,c_110279,c_7356,c_110914]) ).

cnf(c_114582,plain,
    min_precedes(sK16(sK19),sK18(sK16(sK19)),tptp0),
    inference(superposition,[status(thm)],[c_114558,c_7420]) ).

cnf(c_115485,plain,
    sK0(sK9(tptp0,sK16(sK19),sK18(sK16(sK19)))) = tptp0,
    inference(superposition,[status(thm)],[c_114582,c_110694]) ).

cnf(c_115506,plain,
    ( ~ activity_occurrence(sK9(tptp0,sK16(sK19),sK18(sK16(sK19))))
    | occurrence_of(sK9(tptp0,sK16(sK19),sK18(sK16(sK19))),tptp0) ),
    inference(superposition,[status(thm)],[c_115485,c_7456]) ).

cnf(c_117366,plain,
    sK0(sK17(sK9(tptp0,sK16(sK19),sK18(sK16(sK19))))) = tptp3,
    inference(superposition,[status(thm)],[c_114582,c_111944]) ).

cnf(c_117391,plain,
    ( ~ activity_occurrence(sK17(sK9(tptp0,sK16(sK19),sK18(sK16(sK19)))))
    | occurrence_of(sK17(sK9(tptp0,sK16(sK19),sK18(sK16(sK19)))),tptp3) ),
    inference(superposition,[status(thm)],[c_117366,c_7456]) ).

cnf(c_163546,plain,
    occurrence_of(sK9(tptp0,sK16(sK19),sK18(sK16(sK19))),tptp0),
    inference(global_subsumption_just,[status(thm)],[c_115506,c_152,c_7486,c_8939,c_8953,c_9002,c_9056,c_9125,c_10913,c_14761]) ).

cnf(c_163582,plain,
    activity_occurrence(sK17(sK9(tptp0,sK16(sK19),sK18(sK16(sK19))))),
    inference(superposition,[status(thm)],[c_163546,c_110264]) ).

cnf(c_187486,plain,
    ( X0_13 != sK16(X1_13)
    | X0_14 != tptp0
    | X2_13 != sK17(X1_13)
    | ~ next_subocc(sK16(X1_13),sK17(X1_13),tptp0)
    | next_subocc(X0_13,X2_13,X0_14) ),
    inference(instantiation,[status(thm)],[c_7472]) ).

cnf(c_187500,plain,
    ( ~ next_subocc(X0_13,sK18(sK16(sK19)),X0_14)
    | ~ subactivity_occurrence(sK18(sK16(sK19)),X1_13)
    | ~ next_subocc(X0_13,X2_13,X0_14)
    | ~ occurrence_of(X1_13,X0_14)
    | ~ subactivity_occurrence(X2_13,X1_13)
    | sK18(sK16(sK19)) = X2_13 ),
    inference(instantiation,[status(thm)],[c_7388]) ).

cnf(c_187502,plain,
    ( ~ subactivity_occurrence(sK18(sK16(sK19)),X0_13)
    | ~ arboreal(sK18(sK16(sK19)))
    | ~ occurrence_of(X0_13,X0_14)
    | ~ leaf_occ(X1_13,X0_13)
    | sK18(sK16(sK19)) = X1_13
    | min_precedes(sK18(sK16(sK19)),X1_13,X0_14) ),
    inference(instantiation,[status(thm)],[c_7384]) ).

cnf(c_187524,plain,
    ( ~ root_occ(sK16(sK19),X0_13)
    | ~ occurrence_of(X0_13,X0_14)
    | ~ root_occ(X1_13,X0_13)
    | sK16(sK19) = X1_13 ),
    inference(instantiation,[status(thm)],[c_7392]) ).

cnf(c_187537,plain,
    ( X0_13 != X1_13
    | tptp3 != X0_14
    | ~ occurrence_of(X1_13,X0_14)
    | occurrence_of(X0_13,tptp3) ),
    inference(instantiation,[status(thm)],[c_7464]) ).

cnf(c_187601,plain,
    ( sK17(X0_13) != sK17(X0_13)
    | X0_14 != tptp0
    | X1_13 != sK16(X0_13)
    | ~ next_subocc(sK16(X0_13),sK17(X0_13),tptp0)
    | next_subocc(X1_13,sK17(X0_13),X0_14) ),
    inference(instantiation,[status(thm)],[c_187486]) ).

cnf(c_187602,plain,
    sK17(X0_13) = sK17(X0_13),
    inference(instantiation,[status(thm)],[c_7460]) ).

cnf(c_187817,plain,
    ( ~ subactivity_occurrence(sK18(sK16(sK19)),X0_13)
    | ~ leaf_occ(sK17(X0_13),X0_13)
    | ~ arboreal(sK18(sK16(sK19)))
    | ~ occurrence_of(X0_13,X0_14)
    | sK18(sK16(sK19)) = sK17(X0_13)
    | min_precedes(sK18(sK16(sK19)),sK17(X0_13),X0_14) ),
    inference(instantiation,[status(thm)],[c_187502]) ).

cnf(c_187848,plain,
    ( ~ root_occ(sK16(X0_13),X0_13)
    | ~ root_occ(sK16(sK19),X0_13)
    | ~ occurrence_of(X0_13,X0_14)
    | sK16(sK19) = sK16(X0_13) ),
    inference(instantiation,[status(thm)],[c_187524]) ).

cnf(c_188010,plain,
    ( X0_13 != X1_13
    | tptp3 != tptp3
    | ~ occurrence_of(X1_13,tptp3)
    | occurrence_of(X0_13,tptp3) ),
    inference(instantiation,[status(thm)],[c_187537]) ).

cnf(c_188763,plain,
    ( ~ root(sK16(sK19),X0_14)
    | ~ subactivity_occurrence(sK16(sK19),X0_13)
    | ~ occurrence_of(X0_13,X0_14)
    | root_occ(sK16(sK19),X0_13) ),
    inference(instantiation,[status(thm)],[c_7400]) ).

cnf(c_188794,plain,
    ( sK17(X0_13) != sK17(X0_13)
    | sK16(sK19) != sK16(X0_13)
    | X0_14 != tptp0
    | ~ next_subocc(sK16(X0_13),sK17(X0_13),tptp0)
    | next_subocc(sK16(sK19),sK17(X0_13),X0_14) ),
    inference(instantiation,[status(thm)],[c_187601]) ).

cnf(c_189219,plain,
    ( X0_13 != sK17(X1_13)
    | tptp3 != tptp3
    | ~ occurrence_of(sK17(X1_13),tptp3)
    | occurrence_of(X0_13,tptp3) ),
    inference(instantiation,[status(thm)],[c_188010]) ).

cnf(c_193041,plain,
    ( ~ leaf_occ(sK17(sK9(tptp0,sK16(sK19),sK18(sK16(sK19)))),sK9(tptp0,sK16(sK19),sK18(sK16(sK19))))
    | ~ subactivity_occurrence(sK18(sK16(sK19)),sK9(tptp0,sK16(sK19),sK18(sK16(sK19))))
    | ~ occurrence_of(sK9(tptp0,sK16(sK19),sK18(sK16(sK19))),X0_14)
    | ~ arboreal(sK18(sK16(sK19)))
    | sK18(sK16(sK19)) = sK17(sK9(tptp0,sK16(sK19),sK18(sK16(sK19))))
    | min_precedes(sK18(sK16(sK19)),sK17(sK9(tptp0,sK16(sK19),sK18(sK16(sK19)))),X0_14) ),
    inference(instantiation,[status(thm)],[c_187817]) ).

cnf(c_193047,plain,
    ( ~ leaf_occ(sK17(sK9(tptp0,sK16(sK19),sK18(sK16(sK19)))),sK9(tptp0,sK16(sK19),sK18(sK16(sK19))))
    | ~ subactivity_occurrence(sK18(sK16(sK19)),sK9(tptp0,sK16(sK19),sK18(sK16(sK19))))
    | ~ occurrence_of(sK9(tptp0,sK16(sK19),sK18(sK16(sK19))),tptp0)
    | ~ arboreal(sK18(sK16(sK19)))
    | sK18(sK16(sK19)) = sK17(sK9(tptp0,sK16(sK19),sK18(sK16(sK19))))
    | min_precedes(sK18(sK16(sK19)),sK17(sK9(tptp0,sK16(sK19),sK18(sK16(sK19)))),tptp0) ),
    inference(instantiation,[status(thm)],[c_193041]) ).

cnf(c_194199,plain,
    ( ~ occurrence_of(sK9(tptp0,sK16(sK19),sK18(sK16(sK19))),tptp0)
    | leaf_occ(sK17(sK9(tptp0,sK16(sK19),sK18(sK16(sK19)))),sK9(tptp0,sK16(sK19),sK18(sK16(sK19)))) ),
    inference(instantiation,[status(thm)],[c_7375]) ).

cnf(c_194207,plain,
    ( ~ occurrence_of(sK9(tptp0,sK16(sK19),sK18(sK16(sK19))),tptp0)
    | root_occ(sK16(sK9(tptp0,sK16(sK19),sK18(sK16(sK19)))),sK9(tptp0,sK16(sK19),sK18(sK16(sK19)))) ),
    inference(instantiation,[status(thm)],[c_7373]) ).

cnf(c_194224,plain,
    ( ~ subactivity_occurrence(sK16(sK19),sK9(tptp0,sK16(sK19),sK18(sK16(sK19))))
    | ~ occurrence_of(sK9(tptp0,sK16(sK19),sK18(sK16(sK19))),X0_14)
    | ~ root(sK16(sK19),X0_14)
    | root_occ(sK16(sK19),sK9(tptp0,sK16(sK19),sK18(sK16(sK19)))) ),
    inference(instantiation,[status(thm)],[c_188763]) ).

cnf(c_194226,plain,
    ( ~ subactivity_occurrence(sK16(sK19),sK9(tptp0,sK16(sK19),sK18(sK16(sK19))))
    | ~ occurrence_of(sK9(tptp0,sK16(sK19),sK18(sK16(sK19))),tptp0)
    | ~ root(sK16(sK19),tptp0)
    | root_occ(sK16(sK19),sK9(tptp0,sK16(sK19),sK18(sK16(sK19)))) ),
    inference(instantiation,[status(thm)],[c_194224]) ).

cnf(c_197607,plain,
    ( sK18(sK16(sK19)) != sK17(sK9(tptp0,sK16(sK19),sK18(sK16(sK19))))
    | tptp3 != tptp3
    | ~ occurrence_of(sK17(sK9(tptp0,sK16(sK19),sK18(sK16(sK19)))),tptp3)
    | occurrence_of(sK18(sK16(sK19)),tptp3) ),
    inference(instantiation,[status(thm)],[c_189219]) ).

cnf(c_198813,plain,
    ( ~ next_subocc(sK16(X0_13),sK18(sK16(sK19)),X0_14)
    | ~ next_subocc(sK16(X0_13),X1_13,X0_14)
    | ~ subactivity_occurrence(sK18(sK16(sK19)),X2_13)
    | ~ occurrence_of(X2_13,X0_14)
    | ~ subactivity_occurrence(X1_13,X2_13)
    | sK18(sK16(sK19)) = X1_13 ),
    inference(instantiation,[status(thm)],[c_187500]) ).

cnf(c_200467,plain,
    ( ~ min_precedes(sK18(sK16(sK19)),sK17(sK9(tptp0,sK16(sK19),sK18(sK16(sK19)))),X0_14)
    | subactivity_occurrence(sK17(sK9(tptp0,sK16(sK19),sK18(sK16(sK19)))),sK9(X0_14,sK18(sK16(sK19)),sK17(sK9(tptp0,sK16(sK19),sK18(sK16(sK19)))))) ),
    inference(instantiation,[status(thm)],[c_7413]) ).

cnf(c_200468,plain,
    ( ~ min_precedes(sK18(sK16(sK19)),sK17(sK9(tptp0,sK16(sK19),sK18(sK16(sK19)))),X0_14)
    | subactivity_occurrence(sK18(sK16(sK19)),sK9(X0_14,sK18(sK16(sK19)),sK17(sK9(tptp0,sK16(sK19),sK18(sK16(sK19)))))) ),
    inference(instantiation,[status(thm)],[c_7412]) ).

cnf(c_200475,plain,
    ( ~ min_precedes(sK18(sK16(sK19)),sK17(sK9(tptp0,sK16(sK19),sK18(sK16(sK19)))),X0_14)
    | occurrence_of(sK9(X0_14,sK18(sK16(sK19)),sK17(sK9(tptp0,sK16(sK19),sK18(sK16(sK19))))),X0_14) ),
    inference(instantiation,[status(thm)],[c_7411]) ).

cnf(c_200479,plain,
    ( ~ min_precedes(sK18(sK16(sK19)),sK17(sK9(tptp0,sK16(sK19),sK18(sK16(sK19)))),tptp0)
    | occurrence_of(sK9(tptp0,sK18(sK16(sK19)),sK17(sK9(tptp0,sK16(sK19),sK18(sK16(sK19))))),tptp0) ),
    inference(instantiation,[status(thm)],[c_200475]) ).

cnf(c_200484,plain,
    ( ~ min_precedes(sK18(sK16(sK19)),sK17(sK9(tptp0,sK16(sK19),sK18(sK16(sK19)))),tptp0)
    | subactivity_occurrence(sK18(sK16(sK19)),sK9(tptp0,sK18(sK16(sK19)),sK17(sK9(tptp0,sK16(sK19),sK18(sK16(sK19)))))) ),
    inference(instantiation,[status(thm)],[c_200468]) ).

cnf(c_200485,plain,
    ( ~ min_precedes(sK18(sK16(sK19)),sK17(sK9(tptp0,sK16(sK19),sK18(sK16(sK19)))),tptp0)
    | subactivity_occurrence(sK17(sK9(tptp0,sK16(sK19),sK18(sK16(sK19)))),sK9(tptp0,sK18(sK16(sK19)),sK17(sK9(tptp0,sK16(sK19),sK18(sK16(sK19)))))) ),
    inference(instantiation,[status(thm)],[c_200467]) ).

cnf(c_202772,plain,
    ( ~ occurrence_of(sK9(tptp0,sK16(sK19),sK18(sK16(sK19))),tptp0)
    | next_subocc(sK16(sK9(tptp0,sK16(sK19),sK18(sK16(sK19)))),sK17(sK9(tptp0,sK16(sK19),sK18(sK16(sK19)))),tptp0) ),
    inference(instantiation,[status(thm)],[c_7376]) ).

cnf(c_204565,plain,
    sK17(sK9(tptp0,sK16(sK19),sK18(sK16(sK19)))) = sK17(sK9(tptp0,sK16(sK19),sK18(sK16(sK19)))),
    inference(instantiation,[status(thm)],[c_187602]) ).

cnf(c_206853,plain,
    ( ~ subactivity_occurrence(sK18(sK16(sK19)),sK9(X0_14,sK18(sK16(sK19)),sK17(sK9(tptp0,sK16(sK19),sK18(sK16(sK19))))))
    | ~ occurrence_of(sK9(X0_14,sK18(sK16(sK19)),sK17(sK9(tptp0,sK16(sK19),sK18(sK16(sK19))))),X1_14)
    | ~ subactivity_occurrence(X0_13,sK9(X0_14,sK18(sK16(sK19)),sK17(sK9(tptp0,sK16(sK19),sK18(sK16(sK19))))))
    | ~ next_subocc(sK16(X1_13),sK18(sK16(sK19)),X1_14)
    | ~ next_subocc(sK16(X1_13),X0_13,X1_14)
    | sK18(sK16(sK19)) = X0_13 ),
    inference(instantiation,[status(thm)],[c_198813]) ).

cnf(c_207946,plain,
    ( sK17(sK9(tptp0,sK16(sK19),sK18(sK16(sK19)))) != sK17(sK9(tptp0,sK16(sK19),sK18(sK16(sK19))))
    | sK16(sK19) != sK16(sK9(tptp0,sK16(sK19),sK18(sK16(sK19))))
    | X0_14 != tptp0
    | ~ next_subocc(sK16(sK9(tptp0,sK16(sK19),sK18(sK16(sK19)))),sK17(sK9(tptp0,sK16(sK19),sK18(sK16(sK19)))),tptp0)
    | next_subocc(sK16(sK19),sK17(sK9(tptp0,sK16(sK19),sK18(sK16(sK19)))),X0_14) ),
    inference(instantiation,[status(thm)],[c_188794]) ).

cnf(c_207949,plain,
    ( sK17(sK9(tptp0,sK16(sK19),sK18(sK16(sK19)))) != sK17(sK9(tptp0,sK16(sK19),sK18(sK16(sK19))))
    | sK16(sK19) != sK16(sK9(tptp0,sK16(sK19),sK18(sK16(sK19))))
    | tptp0 != tptp0
    | ~ next_subocc(sK16(sK9(tptp0,sK16(sK19),sK18(sK16(sK19)))),sK17(sK9(tptp0,sK16(sK19),sK18(sK16(sK19)))),tptp0)
    | next_subocc(sK16(sK19),sK17(sK9(tptp0,sK16(sK19),sK18(sK16(sK19)))),tptp0) ),
    inference(instantiation,[status(thm)],[c_207946]) ).

cnf(c_209795,plain,
    ( ~ subactivity_occurrence(sK17(sK9(tptp0,sK16(sK19),sK18(sK16(sK19)))),sK9(X0_14,sK18(sK16(sK19)),sK17(sK9(tptp0,sK16(sK19),sK18(sK16(sK19))))))
    | ~ subactivity_occurrence(sK18(sK16(sK19)),sK9(X0_14,sK18(sK16(sK19)),sK17(sK9(tptp0,sK16(sK19),sK18(sK16(sK19))))))
    | ~ occurrence_of(sK9(X0_14,sK18(sK16(sK19)),sK17(sK9(tptp0,sK16(sK19),sK18(sK16(sK19))))),X1_14)
    | ~ next_subocc(sK16(X0_13),sK17(sK9(tptp0,sK16(sK19),sK18(sK16(sK19)))),X1_14)
    | ~ next_subocc(sK16(X0_13),sK18(sK16(sK19)),X1_14)
    | sK18(sK16(sK19)) = sK17(sK9(tptp0,sK16(sK19),sK18(sK16(sK19)))) ),
    inference(instantiation,[status(thm)],[c_206853]) ).

cnf(c_209796,plain,
    ( ~ subactivity_occurrence(sK17(sK9(tptp0,sK16(sK19),sK18(sK16(sK19)))),sK9(tptp0,sK18(sK16(sK19)),sK17(sK9(tptp0,sK16(sK19),sK18(sK16(sK19))))))
    | ~ subactivity_occurrence(sK18(sK16(sK19)),sK9(tptp0,sK18(sK16(sK19)),sK17(sK9(tptp0,sK16(sK19),sK18(sK16(sK19))))))
    | ~ occurrence_of(sK9(tptp0,sK18(sK16(sK19)),sK17(sK9(tptp0,sK16(sK19),sK18(sK16(sK19))))),tptp0)
    | ~ next_subocc(sK16(sK19),sK17(sK9(tptp0,sK16(sK19),sK18(sK16(sK19)))),tptp0)
    | ~ next_subocc(sK16(sK19),sK18(sK16(sK19)),tptp0)
    | sK18(sK16(sK19)) = sK17(sK9(tptp0,sK16(sK19),sK18(sK16(sK19)))) ),
    inference(instantiation,[status(thm)],[c_209795]) ).

cnf(c_213965,plain,
    ( ~ root_occ(sK16(sK9(tptp0,sK16(sK19),sK18(sK16(sK19)))),sK9(tptp0,sK16(sK19),sK18(sK16(sK19))))
    | ~ root_occ(sK16(sK19),sK9(tptp0,sK16(sK19),sK18(sK16(sK19))))
    | ~ occurrence_of(sK9(tptp0,sK16(sK19),sK18(sK16(sK19))),X0_14)
    | sK16(sK19) = sK16(sK9(tptp0,sK16(sK19),sK18(sK16(sK19)))) ),
    inference(instantiation,[status(thm)],[c_187848]) ).

cnf(c_213966,plain,
    ( ~ root_occ(sK16(sK9(tptp0,sK16(sK19),sK18(sK16(sK19)))),sK9(tptp0,sK16(sK19),sK18(sK16(sK19))))
    | ~ root_occ(sK16(sK19),sK9(tptp0,sK16(sK19),sK18(sK16(sK19))))
    | ~ occurrence_of(sK9(tptp0,sK16(sK19),sK18(sK16(sK19))),tptp0)
    | sK16(sK19) = sK16(sK9(tptp0,sK16(sK19),sK18(sK16(sK19)))) ),
    inference(instantiation,[status(thm)],[c_213965]) ).

cnf(c_213967,plain,
    $false,
    inference(prop_impl_just,[status(thm)],[c_213966,c_209796,c_207949,c_204565,c_202772,c_200485,c_200484,c_200479,c_197607,c_194226,c_194207,c_194199,c_193047,c_163582,c_117391,c_14766,c_14765,c_14761,c_10913,c_10799,c_10797,c_10749,c_10347,c_9125,c_9056,c_9002,c_9001,c_8953,c_8939,c_7486,c_7483,c_7362,c_7478,c_152,c_141]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.13/0.13  % Problem  : PRO004+3 : TPTP v8.1.2. Released v4.0.0.
% 0.13/0.14  % Command  : run_iprover %s %d THM
% 0.14/0.36  % Computer : n019.cluster.edu
% 0.14/0.36  % Model    : x86_64 x86_64
% 0.14/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36  % Memory   : 8042.1875MB
% 0.14/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36  % CPULimit : 300
% 0.14/0.36  % WCLimit  : 300
% 0.14/0.36  % DateTime : Thu May  2 23:38:59 EDT 2024
% 0.14/0.36  % CPUTime  : 
% 0.21/0.49  Running first-order theorem proving
% 0.21/0.49  Running: /export/starexec/sandbox/solver/bin/run_problem --schedule fof_schedule --heuristic_context casc_unsat --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 105.55/14.77  % SZS status Started for theBenchmark.p
% 105.55/14.77  % SZS status Theorem for theBenchmark.p
% 105.55/14.77  
% 105.55/14.77  %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 105.55/14.77  
% 105.55/14.77  ------  iProver source info
% 105.55/14.77  
% 105.55/14.77  git: date: 2024-05-02 19:28:25 +0000
% 105.55/14.77  git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 105.55/14.77  git: non_committed_changes: false
% 105.55/14.77  
% 105.55/14.77  ------ Parsing...
% 105.55/14.77  ------ Clausification by vclausify_rel  & Parsing by iProver...
% 105.55/14.77  
% 105.55/14.77  ------ Preprocessing... sup_sim: 0  sf_s  rm: 1 0s  sf_e  pe_s  pe_e  sup_sim: 0  sf_s  rm: 1 0s  sf_e  pe_s  pe_e 
% 105.55/14.77  
% 105.55/14.77  ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 105.55/14.77  
% 105.55/14.77  ------ Preprocessing... sf_s  rm: 1 0s  sf_e  sf_s  rm: 0 0s  sf_e 
% 105.55/14.77  ------ Proving...
% 105.55/14.77  ------ Problem Properties 
% 105.55/14.77  
% 105.55/14.77  
% 105.55/14.77  clauses                                 103
% 105.55/14.77  conjectures                             1
% 105.55/14.77  EPR                                     63
% 105.55/14.77  Horn                                    79
% 105.55/14.77  unary                                   13
% 105.55/14.77  binary                                  45
% 105.55/14.77  lits                                    285
% 105.55/14.77  lits eq                                 18
% 105.55/14.77  fd_pure                                 0
% 105.55/14.77  fd_pseudo                               0
% 105.55/14.77  fd_cond                                 0
% 105.55/14.77  fd_pseudo_cond                          12
% 105.55/14.77  AC symbols                              0
% 105.55/14.77  
% 105.55/14.77  ------ Input Options Time Limit: Unbounded
% 105.55/14.77  
% 105.55/14.77  
% 105.55/14.77  ------ 
% 105.55/14.77  Current options:
% 105.55/14.77  ------ 
% 105.55/14.77  
% 105.55/14.77  
% 105.55/14.77  
% 105.55/14.77  
% 105.55/14.77  ------ Proving...
% 105.55/14.77  
% 105.55/14.77  
% 105.55/14.77  % SZS status Theorem for theBenchmark.p
% 105.55/14.77  
% 105.55/14.77  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 105.55/14.78  
% 105.55/14.78  
%------------------------------------------------------------------------------