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iProver---3.9.4.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : iProver---3.9.4
% Problem  : PRO005+2 : TPTP v9.3.1. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM

% Computer : n019.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8046.5625MB
% OS       : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Fri Sep 25 02:31:33 PM UTC 2026

% Result   : Theorem 86.05s 13.50s
% Output   : CNFRefutation 53.53s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   11
%            Number of leaves      :   21
% Syntax   : Number of formulae    :  191 (  23 unt;   0 def)
%            Number of atoms       :  644 (  44 equ)
%            Maximal formula atoms :    8 (   3 avg)
%            Number of connectives :  790 ( 337   ~; 353   |;  82   &)
%                                         (   7 <=>;  11  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   10 (   6 avg)
%            Maximal term depth    :    5 (   1 avg)
%            Number of types       :    1 (   0 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of predicates  :   14 (  12 usr;   3 prp; 0-3 aty)
%            Number of functors    :   15 (  15 usr;   6 con; 0-3 aty)
%            Number of variables   :  375 (   0 sgn 342   !;  33   ?; 150   :)

% Comments : 
%------------------------------------------------------------------------------
fof(f4,axiom,
    ! [X0,X1,X2,X3] :
      ( ( leaf_occ(X1,X2)
        & leaf_occ(X0,X2)
        & ~ atomic(X3)
        & occurrence_of(X2,X3) )
     => X0 = X1 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_03) ).

fof(f5,axiom,
    ! [X0,X1,X2] :
      ( next_subocc(X0,X1,X2)
    <=> ( ~ ? [X3] :
              ( min_precedes(X3,X1,X2)
              & min_precedes(X0,X3,X2) )
        & min_precedes(X0,X1,X2) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_04) ).

fof(f6,axiom,
    ! [X0,X1,X2] :
      ( next_subocc(X0,X1,X2)
     => ( arboreal(X1)
        & arboreal(X0) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_05) ).

fof(f11,axiom,
    ! [X0,X1] :
      ( root_occ(X0,X1)
    <=> ? [X2] :
          ( root(X0,X2)
          & subactivity_occurrence(X0,X1)
          & occurrence_of(X1,X2) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_10) ).

fof(f14,axiom,
    ! [X0,X1] :
      ( occurrence_of(X0,X1)
     => ( arboreal(X0)
      <=> atomic(X1) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_13) ).

fof(f15,axiom,
    ! [X0,X1] :
      ( leaf(X0,X1)
    <=> ( ~ ? [X3] : min_precedes(X0,X3,X1)
        & ( ? [X2] : min_precedes(X2,X0,X1)
          | root(X0,X1) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_14) ).

fof(f21,axiom,
    ! [X0,X1,X2] :
      ( ( root_occ(X1,X0)
        & occurrence_of(X0,X2) )
     => ~ ? [X3] : min_precedes(X3,X1,X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_20) ).

fof(f22,axiom,
    ! [X0,X1,X2] :
      ( ( leaf_occ(X1,X0)
        & occurrence_of(X0,X2) )
     => ~ ? [X3] : min_precedes(X1,X3,X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_21) ).

fof(f23,axiom,
    ! [X0,X1,X2] :
      ( ( occurrence_of(X0,X2)
        & occurrence_of(X0,X1) )
     => X1 = X2 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_22) ).

fof(f24,axiom,
    ! [X0,X1] :
      ( ( ~ atomic(X1)
        & leaf(X0,X1) )
     => ? [X2] :
          ( leaf_occ(X0,X2)
          & occurrence_of(X2,X1) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_23) ).

fof(f25,axiom,
    ! [X0,X1,X2] :
      ( min_precedes(X1,X2,X0)
     => ? [X3] :
          ( subactivity_occurrence(X2,X3)
          & subactivity_occurrence(X1,X3)
          & occurrence_of(X3,X0) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_24) ).

fof(f33,axiom,
    ! [X0] :
      ( occurrence_of(X0,tptp0)
     => ? [X1,X2] :
          ( next_subocc(X1,X2,tptp0)
          & leaf_occ(X2,X0)
          & ( occurrence_of(X2,tptp2)
            | occurrence_of(X2,tptp3) )
          & root_occ(X1,X0)
          & occurrence_of(X1,tptp4) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_32) ).

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

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

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

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

fof(f46,axiom,
    ! [X0,X1] :
      ( ( ~ leaf_occ(X0,X1)
        & arboreal(X0)
        & subactivity_occurrence(X0,X1)
        & occurrence_of(X1,tptp0) )
     => root_occ(X0,X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_45) ).

fof(f47,axiom,
    ! [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) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_46) ).

fof(f48,conjecture,
    ~ ? [X0] : occurrence_of(X0,tptp0),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',goals) ).

fof(f49,negated_conjecture,
    ~ ~ ? [X0] : occurrence_of(X0,tptp0),
    inference(negated_conjecture,[status(cth)],[f48]) ).

fof(f50,plain,
    ? [X0] : occurrence_of(X0,tptp0),
    inference(flattening,[],[f49]) ).

fof(f58,plain,
    ! [X0,X1,X2,X3] :
      ( ~ leaf_occ(X1,X2)
      | ~ leaf_occ(X0,X2)
      | atomic(X3)
      | ~ occurrence_of(X2,X3)
      | X0 = X1 ),
    inference(ennf_transformation,[],[f4]) ).

fof(f59,plain,
    ! [X0,X1,X2,X3] :
      ( ~ leaf_occ(X1,X2)
      | ~ leaf_occ(X0,X2)
      | atomic(X3)
      | ~ occurrence_of(X2,X3)
      | X0 = X1 ),
    inference(flattening,[],[f58]) ).

fof(f60,plain,
    ! [X0,X1,X2] :
      ( next_subocc(X0,X1,X2)
    <=> ( ! [X3] :
            ( ~ min_precedes(X3,X1,X2)
            | ~ min_precedes(X0,X3,X2) )
        & min_precedes(X0,X1,X2) ) ),
    inference(ennf_transformation,[],[f5]) ).

fof(f61,plain,
    ! [X0,X1,X2] :
      ( ~ next_subocc(X0,X1,X2)
      | ( arboreal(X1)
        & arboreal(X0) ) ),
    inference(ennf_transformation,[],[f6]) ).

fof(f67,plain,
    ! [X0,X1] :
      ( ~ occurrence_of(X0,X1)
      | ( arboreal(X0)
      <=> atomic(X1) ) ),
    inference(ennf_transformation,[],[f14]) ).

fof(f68,plain,
    ! [X0,X1] :
      ( leaf(X0,X1)
    <=> ( ! [X3] : ~ min_precedes(X0,X3,X1)
        & ( ? [X2] : min_precedes(X2,X0,X1)
          | root(X0,X1) ) ) ),
    inference(ennf_transformation,[],[f15]) ).

fof(f74,plain,
    ! [X0,X1,X2] :
      ( ~ root_occ(X1,X0)
      | ~ occurrence_of(X0,X2)
      | ! [X3] : ~ min_precedes(X3,X1,X2) ),
    inference(ennf_transformation,[],[f21]) ).

fof(f75,plain,
    ! [X0,X1,X2] :
      ( ~ root_occ(X1,X0)
      | ~ occurrence_of(X0,X2)
      | ! [X3] : ~ min_precedes(X3,X1,X2) ),
    inference(flattening,[],[f74]) ).

fof(f76,plain,
    ! [X0,X1,X2] :
      ( ~ leaf_occ(X1,X0)
      | ~ occurrence_of(X0,X2)
      | ! [X3] : ~ min_precedes(X1,X3,X2) ),
    inference(ennf_transformation,[],[f22]) ).

fof(f77,plain,
    ! [X0,X1,X2] :
      ( ~ leaf_occ(X1,X0)
      | ~ occurrence_of(X0,X2)
      | ! [X3] : ~ min_precedes(X1,X3,X2) ),
    inference(flattening,[],[f76]) ).

fof(f78,plain,
    ! [X0,X1,X2] :
      ( ~ occurrence_of(X0,X2)
      | ~ occurrence_of(X0,X1)
      | X1 = X2 ),
    inference(ennf_transformation,[],[f23]) ).

fof(f79,plain,
    ! [X0,X1,X2] :
      ( ~ occurrence_of(X0,X2)
      | ~ occurrence_of(X0,X1)
      | X1 = X2 ),
    inference(flattening,[],[f78]) ).

fof(f80,plain,
    ! [X0,X1] :
      ( atomic(X1)
      | ~ leaf(X0,X1)
      | ? [X2] :
          ( leaf_occ(X0,X2)
          & occurrence_of(X2,X1) ) ),
    inference(ennf_transformation,[],[f24]) ).

fof(f81,plain,
    ! [X0,X1] :
      ( atomic(X1)
      | ~ leaf(X0,X1)
      | ? [X2] :
          ( leaf_occ(X0,X2)
          & occurrence_of(X2,X1) ) ),
    inference(flattening,[],[f80]) ).

fof(f82,plain,
    ! [X0,X1,X2] :
      ( ~ min_precedes(X1,X2,X0)
      | ? [X3] :
          ( subactivity_occurrence(X2,X3)
          & subactivity_occurrence(X1,X3)
          & occurrence_of(X3,X0) ) ),
    inference(ennf_transformation,[],[f25]) ).

fof(f93,plain,
    ! [X0] :
      ( ~ occurrence_of(X0,tptp0)
      | ? [X1,X2] :
          ( next_subocc(X1,X2,tptp0)
          & leaf_occ(X2,X0)
          & ( occurrence_of(X2,tptp2)
            | occurrence_of(X2,tptp3) )
          & root_occ(X1,X0)
          & occurrence_of(X1,tptp4) ) ),
    inference(ennf_transformation,[],[f33]) ).

fof(f94,plain,
    ! [X0,X1] :
      ( leaf_occ(X0,X1)
      | ~ arboreal(X0)
      | ~ subactivity_occurrence(X0,X1)
      | ~ occurrence_of(X1,tptp0)
      | root_occ(X0,X1) ),
    inference(ennf_transformation,[],[f46]) ).

fof(f95,plain,
    ! [X0,X1] :
      ( leaf_occ(X0,X1)
      | ~ arboreal(X0)
      | ~ subactivity_occurrence(X0,X1)
      | ~ occurrence_of(X1,tptp0)
      | root_occ(X0,X1) ),
    inference(flattening,[],[f94]) ).

fof(f96,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(ennf_transformation,[],[f47]) ).

fof(f97,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(flattening,[],[f96]) ).

fof(f98,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,[],[f60]) ).

fof(f99,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,[],[f98]) ).

fof(f100,plain,
    ! [X0,X1,X2] :
      ( ( ~ next_subocc(X0,X1,X2)
        | ( ! [X4] :
              ( ~ min_precedes(X4,X1,X2)
              | ~ min_precedes(X0,X4,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(rectify,[],[f99]) ).

fof(f101,plain,
    ! [X0,X1,X2] :
      ( ( ~ next_subocc(X0,X1,X2)
        | ( ! [X4] :
              ( ~ min_precedes(X4,X1,X2)
              | ~ min_precedes(X0,X4,X2) )
          & min_precedes(X0,X1,X2) ) )
      & ( ( min_precedes(sK0(X0,X1,X2),X1,X2)
          & min_precedes(X0,sK0(X0,X1,X2),X2) )
        | ~ min_precedes(X0,X1,X2)
        | next_subocc(X0,X1,X2) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK0]),skolemize(X3,sK0(X0,X1,X2))],[f100]) ).

fof(f102,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,[],[f11]) ).

fof(f103,plain,
    ! [X0,X1] :
      ( ( ~ root_occ(X0,X1)
        | ? [X3] :
            ( root(X0,X3)
            & subactivity_occurrence(X0,X1)
            & occurrence_of(X1,X3) ) )
      & ( ! [X2] :
            ( ~ root(X0,X2)
            | ~ subactivity_occurrence(X0,X1)
            | ~ occurrence_of(X1,X2) )
        | root_occ(X0,X1) ) ),
    inference(rectify,[],[f102]) ).

fof(f104,plain,
    ! [X0,X1] :
      ( ( ~ root_occ(X0,X1)
        | ( root(X0,sK1(X0,X1))
          & subactivity_occurrence(X0,X1)
          & occurrence_of(X1,sK1(X0,X1)) ) )
      & ( ! [X2] :
            ( ~ root(X0,X2)
            | ~ subactivity_occurrence(X0,X1)
            | ~ occurrence_of(X1,X2) )
        | root_occ(X0,X1) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK1]),skolemize(X3,sK1(X0,X1))],[f103]) ).

fof(f108,plain,
    ! [X0,X1] :
      ( ~ occurrence_of(X0,X1)
      | ( ( ~ arboreal(X0)
          | atomic(X1) )
        & ( ~ atomic(X1)
          | arboreal(X0) ) ) ),
    inference(nnf_transformation,[],[f67]) ).

fof(f109,plain,
    ! [X0,X1] :
      ( ( ~ leaf(X0,X1)
        | ( ! [X3] : ~ min_precedes(X0,X3,X1)
          & ( ? [X2] : min_precedes(X2,X0,X1)
            | root(X0,X1) ) ) )
      & ( ? [X3] : min_precedes(X0,X3,X1)
        | ( ! [X2] : ~ min_precedes(X2,X0,X1)
          & ~ root(X0,X1) )
        | leaf(X0,X1) ) ),
    inference(nnf_transformation,[],[f68]) ).

fof(f110,plain,
    ! [X0,X1] :
      ( ( ~ leaf(X0,X1)
        | ( ! [X3] : ~ min_precedes(X0,X3,X1)
          & ( ? [X2] : min_precedes(X2,X0,X1)
            | root(X0,X1) ) ) )
      & ( ? [X3] : min_precedes(X0,X3,X1)
        | ( ! [X2] : ~ min_precedes(X2,X0,X1)
          & ~ root(X0,X1) )
        | leaf(X0,X1) ) ),
    inference(flattening,[],[f109]) ).

fof(f111,plain,
    ! [X0,X1] :
      ( ( ~ leaf(X0,X1)
        | ( ! [X5] : ~ min_precedes(X0,X5,X1)
          & ( ? [X4] : min_precedes(X4,X0,X1)
            | root(X0,X1) ) ) )
      & ( ? [X3] : min_precedes(X0,X3,X1)
        | ( ! [X2] : ~ min_precedes(X2,X0,X1)
          & ~ root(X0,X1) )
        | leaf(X0,X1) ) ),
    inference(rectify,[],[f110]) ).

fof(f112,plain,
    ! [X0,X1] :
      ( ( ~ leaf(X0,X1)
        | ( ! [X5] : ~ min_precedes(X0,X5,X1)
          & ( min_precedes(sK4(X0,X1),X0,X1)
            | root(X0,X1) ) ) )
      & ( min_precedes(X0,sK3(X0,X1),X1)
        | ( ! [X2] : ~ min_precedes(X2,X0,X1)
          & ~ root(X0,X1) )
        | leaf(X0,X1) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK3,sK4]),skolemize(X3,sK3(X0,X1)),skolemize(X4,sK4(X0,X1))],[f111]) ).

fof(f117,plain,
    ! [X0,X1] :
      ( atomic(X1)
      | ~ leaf(X0,X1)
      | ( leaf_occ(X0,sK7(X0,X1))
        & occurrence_of(sK7(X0,X1),X1) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK7]),skolemize(X2,sK7(X0,X1))],[f81]) ).

fof(f118,plain,
    ! [X0,X1,X2] :
      ( ~ min_precedes(X1,X2,X0)
      | ( subactivity_occurrence(X2,sK8(X0,X1,X2))
        & subactivity_occurrence(X1,sK8(X0,X1,X2))
        & occurrence_of(sK8(X0,X1,X2),X0) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK8]),skolemize(X3,sK8(X0,X1,X2))],[f82]) ).

fof(f123,plain,
    ! [X0] :
      ( ~ occurrence_of(X0,tptp0)
      | ( next_subocc(sK14(X0),sK15(X0),tptp0)
        & leaf_occ(sK15(X0),X0)
        & ( occurrence_of(sK15(X0),tptp2)
          | occurrence_of(sK15(X0),tptp3) )
        & root_occ(sK14(X0),X0)
        & occurrence_of(sK14(X0),tptp4) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK14,sK15]),skolemize(X1,sK14(X0)),skolemize(X2,sK15(X0))],[f93]) ).

fof(f124,plain,
    ! [X0,X1] :
      ( leaf_occ(X0,X1)
      | ~ arboreal(X0)
      | ~ subactivity_occurrence(X0,X1)
      | ~ occurrence_of(X1,tptp0)
      | ( next_subocc(X0,sK16(X0),tptp0)
        & occurrence_of(sK16(X0),tptp1) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK16]),skolemize(X2,sK16(X0))],[f97]) ).

fof(f125,plain,
    occurrence_of(sK17,tptp0),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK17]),skolemize(X0,sK17)],[f50]) ).

fof(f129,plain,
    ! [X2,X3,X0,X1] :
      ( ~ leaf_occ(X1,X2)
      | ~ leaf_occ(X0,X2)
      | atomic(X3)
      | ~ occurrence_of(X2,X3)
      | X0 = X1 ),
    inference(cnf_transformation,[],[f59]) ).

fof(f131,plain,
    ! [X2,X0,X1] :
      ( ~ next_subocc(X0,X1,X2)
      | min_precedes(X0,X1,X2) ),
    inference(cnf_transformation,[],[f101]) ).

fof(f135,plain,
    ! [X2,X0,X1] :
      ( ~ next_subocc(X0,X1,X2)
      | arboreal(X0) ),
    inference(cnf_transformation,[],[f61]) ).

fof(f142,plain,
    ! [X0,X1] :
      ( ~ root_occ(X0,X1)
      | subactivity_occurrence(X0,X1) ),
    inference(cnf_transformation,[],[f104]) ).

fof(f151,plain,
    ! [X0,X1] :
      ( ~ occurrence_of(X0,X1)
      | ~ atomic(X1)
      | arboreal(X0) ),
    inference(cnf_transformation,[],[f108]) ).

fof(f154,plain,
    ! [X2,X0,X1] :
      ( min_precedes(X0,sK3(X0,X1),X1)
      | ~ min_precedes(X2,X0,X1)
      | leaf(X0,X1) ),
    inference(cnf_transformation,[],[f112]) ).

fof(f166,plain,
    ! [X2,X3,X0,X1] :
      ( ~ root_occ(X1,X0)
      | ~ occurrence_of(X0,X2)
      | ~ min_precedes(X3,X1,X2) ),
    inference(cnf_transformation,[],[f75]) ).

fof(f167,plain,
    ! [X2,X3,X0,X1] :
      ( ~ leaf_occ(X1,X0)
      | ~ occurrence_of(X0,X2)
      | ~ min_precedes(X1,X3,X2) ),
    inference(cnf_transformation,[],[f77]) ).

fof(f168,plain,
    ! [X2,X0,X1] :
      ( ~ occurrence_of(X0,X2)
      | ~ occurrence_of(X0,X1)
      | X1 = X2 ),
    inference(cnf_transformation,[],[f79]) ).

fof(f169,plain,
    ! [X0,X1] :
      ( atomic(X1)
      | ~ leaf(X0,X1)
      | leaf_occ(X0,sK7(X0,X1)) ),
    inference(cnf_transformation,[],[f117]) ).

fof(f170,plain,
    ! [X0,X1] :
      ( atomic(X1)
      | ~ leaf(X0,X1)
      | occurrence_of(sK7(X0,X1),X1) ),
    inference(cnf_transformation,[],[f117]) ).

fof(f171,plain,
    ! [X2,X0,X1] :
      ( ~ min_precedes(X1,X2,X0)
      | subactivity_occurrence(X2,sK8(X0,X1,X2)) ),
    inference(cnf_transformation,[],[f118]) ).

fof(f173,plain,
    ! [X2,X0,X1] :
      ( ~ min_precedes(X1,X2,X0)
      | occurrence_of(sK8(X0,X1,X2),X0) ),
    inference(cnf_transformation,[],[f118]) ).

fof(f188,plain,
    ! [X0] :
      ( ~ occurrence_of(X0,tptp0)
      | next_subocc(sK14(X0),sK15(X0),tptp0) ),
    inference(cnf_transformation,[],[f123]) ).

fof(f189,plain,
    ! [X0] :
      ( ~ occurrence_of(X0,tptp0)
      | leaf_occ(sK15(X0),X0) ),
    inference(cnf_transformation,[],[f123]) ).

fof(f190,plain,
    ! [X0] :
      ( ~ occurrence_of(X0,tptp0)
      | occurrence_of(sK15(X0),tptp2)
      | occurrence_of(sK15(X0),tptp3) ),
    inference(cnf_transformation,[],[f123]) ).

fof(f191,plain,
    ! [X0] :
      ( ~ occurrence_of(X0,tptp0)
      | root_occ(sK14(X0),X0) ),
    inference(cnf_transformation,[],[f123]) ).

fof(f194,plain,
    ~ atomic(tptp0),
    inference(cnf_transformation,[],[f35]) ).

fof(f198,plain,
    atomic(tptp1),
    inference(cnf_transformation,[],[f39]) ).

fof(f202,plain,
    tptp3 != tptp1,
    inference(cnf_transformation,[],[f43]) ).

fof(f203,plain,
    tptp2 != tptp1,
    inference(cnf_transformation,[],[f44]) ).

fof(f205,plain,
    ! [X0,X1] :
      ( leaf_occ(X0,X1)
      | ~ arboreal(X0)
      | ~ subactivity_occurrence(X0,X1)
      | ~ occurrence_of(X1,tptp0)
      | root_occ(X0,X1) ),
    inference(cnf_transformation,[],[f95]) ).

fof(f206,plain,
    ! [X0,X1] :
      ( leaf_occ(X0,X1)
      | ~ arboreal(X0)
      | ~ subactivity_occurrence(X0,X1)
      | ~ occurrence_of(X1,tptp0)
      | next_subocc(X0,sK16(X0),tptp0) ),
    inference(cnf_transformation,[],[f124]) ).

fof(f207,plain,
    ! [X0,X1] :
      ( leaf_occ(X0,X1)
      | ~ arboreal(X0)
      | ~ subactivity_occurrence(X0,X1)
      | ~ occurrence_of(X1,tptp0)
      | occurrence_of(sK16(X0),tptp1) ),
    inference(cnf_transformation,[],[f124]) ).

fof(f208,plain,
    occurrence_of(sK17,tptp0),
    inference(cnf_transformation,[],[f125]) ).

tcf(c_52,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( atomic(X1)
      | ( X2 = X3 )
      | ~ leaf_occ(X3,X0)
      | ~ leaf_occ(X2,X0)
      | ~ occurrence_of(X0,X1) ),
    inference(cnf_transformation,[],[f129]) ).

tcf(c_55,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( min_precedes(X0,X1,X2)
      | ~ next_subocc(X0,X1,X2) ),
    inference(cnf_transformation,[],[f131]) ).

tcf(c_57,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( arboreal(X0)
      | ~ next_subocc(X0,X1,X2) ),
    inference(cnf_transformation,[],[f135]) ).

tcf(c_66,plain,
    ! [X0: $i,X1: $i] :
      ( subactivity_occurrence(X0,X1)
      | ~ root_occ(X0,X1) ),
    inference(cnf_transformation,[],[f142]) ).

tcf(c_73,plain,
    ! [X0: $i,X1: $i] :
      ( arboreal(X0)
      | ~ atomic(X1)
      | ~ occurrence_of(X0,X1) ),
    inference(cnf_transformation,[],[f151]) ).

tcf(c_76,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( leaf(X1,X2)
      | min_precedes(X1,sK3(X1,X2),X2)
      | ~ min_precedes(X0,X1,X2) ),
    inference(cnf_transformation,[],[f154]) ).

tcf(c_89,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ~ root_occ(X1,X3)
      | ~ occurrence_of(X3,X2)
      | ~ min_precedes(X0,X1,X2) ),
    inference(cnf_transformation,[],[f166]) ).

tcf(c_90,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ~ leaf_occ(X0,X3)
      | ~ occurrence_of(X3,X2)
      | ~ min_precedes(X0,X1,X2) ),
    inference(cnf_transformation,[],[f167]) ).

tcf(c_91,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( X1 = X2 )
      | ~ occurrence_of(X0,X2)
      | ~ occurrence_of(X0,X1) ),
    inference(cnf_transformation,[],[f168]) ).

tcf(c_92,plain,
    ! [X0: $i,X1: $i] :
      ( atomic(X1)
      | occurrence_of(sK7(X0,X1),X1)
      | ~ leaf(X0,X1) ),
    inference(cnf_transformation,[],[f170]) ).

tcf(c_93,plain,
    ! [X0: $i,X1: $i] :
      ( atomic(X1)
      | leaf_occ(X0,sK7(X0,X1))
      | ~ leaf(X0,X1) ),
    inference(cnf_transformation,[],[f169]) ).

tcf(c_94,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( occurrence_of(sK8(X2,X0,X1),X2)
      | ~ min_precedes(X0,X1,X2) ),
    inference(cnf_transformation,[],[f173]) ).

tcf(c_96,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( subactivity_occurrence(X1,sK8(X2,X0,X1))
      | ~ min_precedes(X0,X1,X2) ),
    inference(cnf_transformation,[],[f171]) ).

tcf(c_112,plain,
    ! [X0: $i] :
      ( root_occ(sK14(X0),X0)
      | ~ occurrence_of(X0,tptp0) ),
    inference(cnf_transformation,[],[f191]) ).

tcf(c_113,plain,
    ! [X0: $i] :
      ( occurrence_of(sK15(X0),tptp2)
      | occurrence_of(sK15(X0),tptp3)
      | ~ occurrence_of(X0,tptp0) ),
    inference(cnf_transformation,[],[f190]) ).

tcf(c_114,plain,
    ! [X0: $i] :
      ( leaf_occ(sK15(X0),X0)
      | ~ occurrence_of(X0,tptp0) ),
    inference(cnf_transformation,[],[f189]) ).

tcf(c_115,plain,
    ! [X0: $i] :
      ( next_subocc(sK14(X0),sK15(X0),tptp0)
      | ~ occurrence_of(X0,tptp0) ),
    inference(cnf_transformation,[],[f188]) ).

tcf(c_117,plain,
    ~ atomic(tptp0),
    inference(cnf_transformation,[],[f194]) ).

tcf(c_121,plain,
    atomic(tptp1),
    inference(cnf_transformation,[],[f198]) ).

tcf(c_125,plain,
    tptp3 != tptp1,
    inference(cnf_transformation,[],[f202]) ).

tcf(c_126,plain,
    tptp2 != tptp1,
    inference(cnf_transformation,[],[f203]) ).

tcf(c_128,plain,
    ! [X0: $i,X1: $i] :
      ( leaf_occ(X0,X1)
      | root_occ(X0,X1)
      | ~ arboreal(X0)
      | ~ occurrence_of(X1,tptp0)
      | ~ subactivity_occurrence(X0,X1) ),
    inference(cnf_transformation,[],[f205]) ).

tcf(c_129,plain,
    ! [X0: $i,X1: $i] :
      ( leaf_occ(X0,X1)
      | occurrence_of(sK16(X0),tptp1)
      | ~ arboreal(X0)
      | ~ occurrence_of(X1,tptp0)
      | ~ subactivity_occurrence(X0,X1) ),
    inference(cnf_transformation,[],[f207]) ).

tcf(c_130,plain,
    ! [X0: $i,X1: $i] :
      ( leaf_occ(X0,X1)
      | next_subocc(X0,sK16(X0),tptp0)
      | ~ arboreal(X0)
      | ~ occurrence_of(X1,tptp0)
      | ~ subactivity_occurrence(X0,X1) ),
    inference(cnf_transformation,[],[f206]) ).

tcf(c_131,negated_conjecture,
    occurrence_of(sK17,tptp0),
    inference(cnf_transformation,[],[f208]) ).

tcf(c_210,plain,
    ! [X0_iProver_occurrence_of_1: iProver_occurrence_of_1,X1_iProver_occurrence_of_1: iProver_occurrence_of_1] :
      ( leaf_occ(X0_iProver_occurrence_of_1,X1_iProver_occurrence_of_1)
      | next_subocc(X0_iProver_occurrence_of_1,sK16(X0_iProver_occurrence_of_1),tptp0)
      | ~ arboreal(X0_iProver_occurrence_of_1)
      | ~ occurrence_of(X1_iProver_occurrence_of_1,tptp0)
      | ~ subactivity_occurrence(X0_iProver_occurrence_of_1,X1_iProver_occurrence_of_1) ),
    inference(subtyping,[status(esa)],[c_130]) ).

tcf(c_211,plain,
    ! [X0_iProver_occurrence_of_1: iProver_occurrence_of_1,X1_iProver_occurrence_of_1: iProver_occurrence_of_1] :
      ( leaf_occ(X0_iProver_occurrence_of_1,X1_iProver_occurrence_of_1)
      | occurrence_of(sK16(X0_iProver_occurrence_of_1),tptp1)
      | ~ arboreal(X0_iProver_occurrence_of_1)
      | ~ occurrence_of(X1_iProver_occurrence_of_1,tptp0)
      | ~ subactivity_occurrence(X0_iProver_occurrence_of_1,X1_iProver_occurrence_of_1) ),
    inference(subtyping,[status(esa)],[c_129]) ).

tcf(c_212,plain,
    ! [X0_iProver_occurrence_of_1: iProver_occurrence_of_1,X1_iProver_occurrence_of_1: iProver_occurrence_of_1] :
      ( leaf_occ(X0_iProver_occurrence_of_1,X1_iProver_occurrence_of_1)
      | root_occ(X0_iProver_occurrence_of_1,X1_iProver_occurrence_of_1)
      | ~ arboreal(X0_iProver_occurrence_of_1)
      | ~ occurrence_of(X1_iProver_occurrence_of_1,tptp0)
      | ~ subactivity_occurrence(X0_iProver_occurrence_of_1,X1_iProver_occurrence_of_1) ),
    inference(subtyping,[status(esa)],[c_128]) ).

tcf(c_214,plain,
    tptp2 != tptp1,
    inference(subtyping,[status(esa)],[c_126]) ).

tcf(c_215,plain,
    tptp3 != tptp1,
    inference(subtyping,[status(esa)],[c_125]) ).

tcf(c_225,plain,
    ! [X0_iProver_occurrence_of_1: iProver_occurrence_of_1] :
      ( next_subocc(sK14(X0_iProver_occurrence_of_1),sK15(X0_iProver_occurrence_of_1),tptp0)
      | ~ occurrence_of(X0_iProver_occurrence_of_1,tptp0) ),
    inference(subtyping,[status(esa)],[c_115]) ).

tcf(c_226,plain,
    ! [X0_iProver_occurrence_of_1: iProver_occurrence_of_1] :
      ( leaf_occ(sK15(X0_iProver_occurrence_of_1),X0_iProver_occurrence_of_1)
      | ~ occurrence_of(X0_iProver_occurrence_of_1,tptp0) ),
    inference(subtyping,[status(esa)],[c_114]) ).

tcf(c_227,plain,
    ! [X0_iProver_occurrence_of_1: iProver_occurrence_of_1] :
      ( occurrence_of(sK15(X0_iProver_occurrence_of_1),tptp2)
      | occurrence_of(sK15(X0_iProver_occurrence_of_1),tptp3)
      | ~ occurrence_of(X0_iProver_occurrence_of_1,tptp0) ),
    inference(subtyping,[status(esa)],[c_113]) ).

tcf(c_228,plain,
    ! [X0_iProver_occurrence_of_1: iProver_occurrence_of_1] :
      ( root_occ(sK14(X0_iProver_occurrence_of_1),X0_iProver_occurrence_of_1)
      | ~ occurrence_of(X0_iProver_occurrence_of_1,tptp0) ),
    inference(subtyping,[status(esa)],[c_112]) ).

tcf(c_244,plain,
    ! [X0_iProver_occurrence_of_1: iProver_occurrence_of_1,X0_iProver_tptp3_0: iProver_tptp3_0,X1_iProver_occurrence_of_1: iProver_occurrence_of_1] :
      ( subactivity_occurrence(X1_iProver_occurrence_of_1,sK8(X0_iProver_tptp3_0,X0_iProver_occurrence_of_1,X1_iProver_occurrence_of_1))
      | ~ min_precedes(X0_iProver_occurrence_of_1,X1_iProver_occurrence_of_1,X0_iProver_tptp3_0) ),
    inference(subtyping,[status(esa)],[c_96]) ).

tcf(c_246,plain,
    ! [X0_iProver_occurrence_of_1: iProver_occurrence_of_1,X0_iProver_tptp3_0: iProver_tptp3_0,X1_iProver_occurrence_of_1: iProver_occurrence_of_1] :
      ( occurrence_of(sK8(X0_iProver_tptp3_0,X0_iProver_occurrence_of_1,X1_iProver_occurrence_of_1),X0_iProver_tptp3_0)
      | ~ min_precedes(X0_iProver_occurrence_of_1,X1_iProver_occurrence_of_1,X0_iProver_tptp3_0) ),
    inference(subtyping,[status(esa)],[c_94]) ).

tcf(c_247,plain,
    ! [X0_iProver_occurrence_of_1: iProver_occurrence_of_1,X0_iProver_tptp3_0: iProver_tptp3_0] :
      ( atomic(X0_iProver_tptp3_0)
      | leaf_occ(X0_iProver_occurrence_of_1,sK7(X0_iProver_occurrence_of_1,X0_iProver_tptp3_0))
      | ~ leaf(X0_iProver_occurrence_of_1,X0_iProver_tptp3_0) ),
    inference(subtyping,[status(esa)],[c_93]) ).

tcf(c_248,plain,
    ! [X0_iProver_occurrence_of_1: iProver_occurrence_of_1,X0_iProver_tptp3_0: iProver_tptp3_0] :
      ( atomic(X0_iProver_tptp3_0)
      | occurrence_of(sK7(X0_iProver_occurrence_of_1,X0_iProver_tptp3_0),X0_iProver_tptp3_0)
      | ~ leaf(X0_iProver_occurrence_of_1,X0_iProver_tptp3_0) ),
    inference(subtyping,[status(esa)],[c_92]) ).

tcf(c_249,plain,
    ! [X0_iProver_occurrence_of_1: iProver_occurrence_of_1,X0_iProver_tptp3_0: iProver_tptp3_0,X1_iProver_tptp3_0: iProver_tptp3_0] :
      ( ( X0_iProver_tptp3_0 = X1_iProver_tptp3_0 )
      | ~ occurrence_of(X0_iProver_occurrence_of_1,X1_iProver_tptp3_0)
      | ~ occurrence_of(X0_iProver_occurrence_of_1,X0_iProver_tptp3_0) ),
    inference(subtyping,[status(esa)],[c_91]) ).

tcf(c_250,plain,
    ! [X0_iProver_occurrence_of_1: iProver_occurrence_of_1,X0_iProver_tptp3_0: iProver_tptp3_0,X1_iProver_occurrence_of_1: iProver_occurrence_of_1,X2_iProver_occurrence_of_1: iProver_occurrence_of_1] :
      ( ~ leaf_occ(X0_iProver_occurrence_of_1,X2_iProver_occurrence_of_1)
      | ~ occurrence_of(X2_iProver_occurrence_of_1,X0_iProver_tptp3_0)
      | ~ min_precedes(X0_iProver_occurrence_of_1,X1_iProver_occurrence_of_1,X0_iProver_tptp3_0) ),
    inference(subtyping,[status(esa)],[c_90]) ).

tcf(c_251,plain,
    ! [X0_iProver_occurrence_of_1: iProver_occurrence_of_1,X0_iProver_tptp3_0: iProver_tptp3_0,X1_iProver_occurrence_of_1: iProver_occurrence_of_1,X2_iProver_occurrence_of_1: iProver_occurrence_of_1] :
      ( ~ root_occ(X1_iProver_occurrence_of_1,X2_iProver_occurrence_of_1)
      | ~ occurrence_of(X2_iProver_occurrence_of_1,X0_iProver_tptp3_0)
      | ~ min_precedes(X0_iProver_occurrence_of_1,X1_iProver_occurrence_of_1,X0_iProver_tptp3_0) ),
    inference(subtyping,[status(esa)],[c_89]) ).

tcf(c_264,plain,
    ! [X0_iProver_occurrence_of_1: iProver_occurrence_of_1,X0_iProver_tptp3_0: iProver_tptp3_0,X1_iProver_occurrence_of_1: iProver_occurrence_of_1] :
      ( leaf(X1_iProver_occurrence_of_1,X0_iProver_tptp3_0)
      | min_precedes(X1_iProver_occurrence_of_1,sK3(X1_iProver_occurrence_of_1,X0_iProver_tptp3_0),X0_iProver_tptp3_0)
      | ~ min_precedes(X0_iProver_occurrence_of_1,X1_iProver_occurrence_of_1,X0_iProver_tptp3_0) ),
    inference(subtyping,[status(esa)],[c_76]) ).

tcf(c_267,plain,
    ! [X0_iProver_occurrence_of_1: iProver_occurrence_of_1,X0_iProver_tptp3_0: iProver_tptp3_0] :
      ( arboreal(X0_iProver_occurrence_of_1)
      | ~ atomic(X0_iProver_tptp3_0)
      | ~ occurrence_of(X0_iProver_occurrence_of_1,X0_iProver_tptp3_0) ),
    inference(subtyping,[status(esa)],[c_73]) ).

tcf(c_274,plain,
    ! [X0_iProver_occurrence_of_1: iProver_occurrence_of_1,X1_iProver_occurrence_of_1: iProver_occurrence_of_1] :
      ( subactivity_occurrence(X0_iProver_occurrence_of_1,X1_iProver_occurrence_of_1)
      | ~ root_occ(X0_iProver_occurrence_of_1,X1_iProver_occurrence_of_1) ),
    inference(subtyping,[status(esa)],[c_66]) ).

tcf(c_283,plain,
    ! [X0_iProver_occurrence_of_1: iProver_occurrence_of_1,X0_iProver_tptp3_0: iProver_tptp3_0,X1_iProver_occurrence_of_1: iProver_occurrence_of_1] :
      ( arboreal(X0_iProver_occurrence_of_1)
      | ~ next_subocc(X0_iProver_occurrence_of_1,X1_iProver_occurrence_of_1,X0_iProver_tptp3_0) ),
    inference(subtyping,[status(esa)],[c_57]) ).

tcf(c_285,plain,
    ! [X0_iProver_occurrence_of_1: iProver_occurrence_of_1,X0_iProver_tptp3_0: iProver_tptp3_0,X1_iProver_occurrence_of_1: iProver_occurrence_of_1] :
      ( min_precedes(X0_iProver_occurrence_of_1,X1_iProver_occurrence_of_1,X0_iProver_tptp3_0)
      | ~ next_subocc(X0_iProver_occurrence_of_1,X1_iProver_occurrence_of_1,X0_iProver_tptp3_0) ),
    inference(subtyping,[status(esa)],[c_55]) ).

tcf(c_288,plain,
    ! [X0_iProver_occurrence_of_1: iProver_occurrence_of_1,X0_iProver_tptp3_0: iProver_tptp3_0,X1_iProver_occurrence_of_1: iProver_occurrence_of_1,X2_iProver_occurrence_of_1: iProver_occurrence_of_1] :
      ( atomic(X0_iProver_tptp3_0)
      | ( X1_iProver_occurrence_of_1 = X2_iProver_occurrence_of_1 )
      | ~ leaf_occ(X2_iProver_occurrence_of_1,X0_iProver_occurrence_of_1)
      | ~ leaf_occ(X1_iProver_occurrence_of_1,X0_iProver_occurrence_of_1)
      | ~ occurrence_of(X0_iProver_occurrence_of_1,X0_iProver_tptp3_0) ),
    inference(subtyping,[status(esa)],[c_52]) ).

tcf(c_294,plain,
    ! [X0_iProver_tptp3_0: iProver_tptp3_0] : X0_iProver_tptp3_0 = X0_iProver_tptp3_0,
    theory(equality) ).

tcf(c_298,plain,
    ! [X0_iProver_occurrence_of_1: iProver_occurrence_of_1,X0_iProver_tptp3_0: iProver_tptp3_0,X1_iProver_occurrence_of_1: iProver_occurrence_of_1,X1_iProver_tptp3_0: iProver_tptp3_0] :
      ( occurrence_of(X0_iProver_occurrence_of_1,X0_iProver_tptp3_0)
      | ~ occurrence_of(X1_iProver_occurrence_of_1,X1_iProver_tptp3_0)
      | ( X0_iProver_tptp3_0 != X1_iProver_tptp3_0 )
      | ( X0_iProver_occurrence_of_1 != X1_iProver_occurrence_of_1 ) ),
    theory(equality) ).

tcf(c_315,plain,
    ( next_subocc(sK14(sK17),sK15(sK17),tptp0)
    | ~ occurrence_of(sK17,tptp0) ),
    inference(instantiation,[status(thm)],[c_225]) ).

tcf(c_318,plain,
    ( root_occ(sK14(sK17),sK17)
    | ~ occurrence_of(sK17,tptp0) ),
    inference(instantiation,[status(thm)],[c_228]) ).

tcf(c_388,plain,
    ! [X0_iProver_occurrence_of_1: iProver_occurrence_of_1] :
      ( ( tptp2 = tptp1 )
      | ~ occurrence_of(X0_iProver_occurrence_of_1,tptp1)
      | ~ occurrence_of(X0_iProver_occurrence_of_1,tptp2) ),
    inference(instantiation,[status(thm)],[c_249]) ).

tcf(c_390,plain,
    ! [X0_iProver_occurrence_of_1: iProver_occurrence_of_1] :
      ( ( tptp3 = tptp1 )
      | ~ occurrence_of(X0_iProver_occurrence_of_1,tptp1)
      | ~ occurrence_of(X0_iProver_occurrence_of_1,tptp3) ),
    inference(instantiation,[status(thm)],[c_249]) ).

tcf(c_416,plain,
    ! [X0_iProver_occurrence_of_1: iProver_occurrence_of_1] :
      ( arboreal(X0_iProver_occurrence_of_1)
      | ~ atomic(tptp1)
      | ~ occurrence_of(X0_iProver_occurrence_of_1,tptp1) ),
    inference(instantiation,[status(thm)],[c_267]) ).

tcf(c_464,plain,
    ! [X0_iProver_occurrence_of_1: iProver_occurrence_of_1] :
      ( subactivity_occurrence(sK14(X0_iProver_occurrence_of_1),X0_iProver_occurrence_of_1)
      | ~ root_occ(sK14(X0_iProver_occurrence_of_1),X0_iProver_occurrence_of_1) ),
    inference(instantiation,[status(thm)],[c_274]) ).

tcf(c_465,plain,
    ( subactivity_occurrence(sK14(sK17),sK17)
    | ~ root_occ(sK14(sK17),sK17) ),
    inference(instantiation,[status(thm)],[c_464]) ).

tcf(c_468,plain,
    ! [X0_iProver_occurrence_of_1: iProver_occurrence_of_1] :
      ( arboreal(sK14(X0_iProver_occurrence_of_1))
      | ~ next_subocc(sK14(X0_iProver_occurrence_of_1),sK15(X0_iProver_occurrence_of_1),tptp0) ),
    inference(instantiation,[status(thm)],[c_283]) ).

tcf(c_469,plain,
    ( arboreal(sK14(sK17))
    | ~ next_subocc(sK14(sK17),sK15(sK17),tptp0) ),
    inference(instantiation,[status(thm)],[c_468]) ).

tcf(c_500,plain,
    ! [X0_iProver_occurrence_of_1: iProver_occurrence_of_1] :
      ( min_precedes(sK14(X0_iProver_occurrence_of_1),sK15(X0_iProver_occurrence_of_1),tptp0)
      | ~ next_subocc(sK14(X0_iProver_occurrence_of_1),sK15(X0_iProver_occurrence_of_1),tptp0) ),
    inference(instantiation,[status(thm)],[c_285]) ).

tcf(c_501,plain,
    ( min_precedes(sK14(sK17),sK15(sK17),tptp0)
    | ~ next_subocc(sK14(sK17),sK15(sK17),tptp0) ),
    inference(instantiation,[status(thm)],[c_500]) ).

tcf(c_556,plain,
    ! [X0_iProver_occurrence_of_1: iProver_occurrence_of_1,X0_iProver_tptp3_0: iProver_tptp3_0,X1_iProver_occurrence_of_1: iProver_occurrence_of_1] :
      ( occurrence_of(X0_iProver_occurrence_of_1,tptp1)
      | ~ occurrence_of(X1_iProver_occurrence_of_1,X0_iProver_tptp3_0)
      | ( tptp1 != X0_iProver_tptp3_0 )
      | ( X0_iProver_occurrence_of_1 != X1_iProver_occurrence_of_1 ) ),
    inference(instantiation,[status(thm)],[c_298]) ).

tcf(c_623,plain,
    ! [X0_iProver_occurrence_of_1: iProver_occurrence_of_1,X1_iProver_occurrence_of_1: iProver_occurrence_of_1] :
      ( leaf_occ(sK14(X0_iProver_occurrence_of_1),X1_iProver_occurrence_of_1)
      | next_subocc(sK14(X0_iProver_occurrence_of_1),sK16(sK14(X0_iProver_occurrence_of_1)),tptp0)
      | ~ arboreal(sK14(X0_iProver_occurrence_of_1))
      | ~ occurrence_of(X1_iProver_occurrence_of_1,tptp0)
      | ~ subactivity_occurrence(sK14(X0_iProver_occurrence_of_1),X1_iProver_occurrence_of_1) ),
    inference(instantiation,[status(thm)],[c_210]) ).

tcf(c_624,plain,
    ! [X0_iProver_occurrence_of_1: iProver_occurrence_of_1,X1_iProver_occurrence_of_1: iProver_occurrence_of_1] :
      ( leaf_occ(sK14(X0_iProver_occurrence_of_1),X1_iProver_occurrence_of_1)
      | occurrence_of(sK16(sK14(X0_iProver_occurrence_of_1)),tptp1)
      | ~ arboreal(sK14(X0_iProver_occurrence_of_1))
      | ~ occurrence_of(X1_iProver_occurrence_of_1,tptp0)
      | ~ subactivity_occurrence(sK14(X0_iProver_occurrence_of_1),X1_iProver_occurrence_of_1) ),
    inference(instantiation,[status(thm)],[c_211]) ).

tcf(c_627,plain,
    ( leaf_occ(sK14(sK17),sK17)
    | occurrence_of(sK16(sK14(sK17)),tptp1)
    | ~ arboreal(sK14(sK17))
    | ~ occurrence_of(sK17,tptp0)
    | ~ subactivity_occurrence(sK14(sK17),sK17) ),
    inference(instantiation,[status(thm)],[c_624]) ).

tcf(c_628,plain,
    ( leaf_occ(sK14(sK17),sK17)
    | next_subocc(sK14(sK17),sK16(sK14(sK17)),tptp0)
    | ~ arboreal(sK14(sK17))
    | ~ occurrence_of(sK17,tptp0)
    | ~ subactivity_occurrence(sK14(sK17),sK17) ),
    inference(instantiation,[status(thm)],[c_623]) ).

tcf(c_653,plain,
    ! [X0_iProver_occurrence_of_1: iProver_occurrence_of_1,X1_iProver_occurrence_of_1: iProver_occurrence_of_1] :
      ( ~ occurrence_of(X1_iProver_occurrence_of_1,tptp0)
      | ~ leaf_occ(sK14(X0_iProver_occurrence_of_1),X1_iProver_occurrence_of_1)
      | ~ min_precedes(sK14(X0_iProver_occurrence_of_1),sK15(X0_iProver_occurrence_of_1),tptp0) ),
    inference(instantiation,[status(thm)],[c_250]) ).

tcf(c_656,plain,
    ( ~ occurrence_of(sK17,tptp0)
    | ~ leaf_occ(sK14(sK17),sK17)
    | ~ min_precedes(sK14(sK17),sK15(sK17),tptp0) ),
    inference(instantiation,[status(thm)],[c_653]) ).

tcf(c_1309,plain,
    ! [X0_iProver_occurrence_of_1: iProver_occurrence_of_1,X1_iProver_occurrence_of_1: iProver_occurrence_of_1] :
      ( occurrence_of(X0_iProver_occurrence_of_1,tptp1)
      | ~ occurrence_of(X1_iProver_occurrence_of_1,tptp1)
      | ( tptp1 != tptp1 )
      | ( X0_iProver_occurrence_of_1 != X1_iProver_occurrence_of_1 ) ),
    inference(instantiation,[status(thm)],[c_556]) ).

tcf(c_1310,plain,
    tptp1 = tptp1,
    inference(instantiation,[status(thm)],[c_294]) ).

tcf(c_1350,plain,
    ! [X0_iProver_occurrence_of_1: iProver_occurrence_of_1] :
      ( arboreal(sK16(sK14(X0_iProver_occurrence_of_1)))
      | ~ atomic(tptp1)
      | ~ occurrence_of(sK16(sK14(X0_iProver_occurrence_of_1)),tptp1) ),
    inference(instantiation,[status(thm)],[c_416]) ).

tcf(c_1357,plain,
    ( arboreal(sK16(sK14(sK17)))
    | ~ atomic(tptp1)
    | ~ occurrence_of(sK16(sK14(sK17)),tptp1) ),
    inference(instantiation,[status(thm)],[c_1350]) ).

tcf(c_1411,plain,
    ! [X0_iProver_occurrence_of_1: iProver_occurrence_of_1] :
      ( min_precedes(sK14(X0_iProver_occurrence_of_1),sK16(sK14(X0_iProver_occurrence_of_1)),tptp0)
      | ~ next_subocc(sK14(X0_iProver_occurrence_of_1),sK16(sK14(X0_iProver_occurrence_of_1)),tptp0) ),
    inference(instantiation,[status(thm)],[c_285]) ).

tcf(c_1416,plain,
    ( min_precedes(sK14(sK17),sK16(sK14(sK17)),tptp0)
    | ~ next_subocc(sK14(sK17),sK16(sK14(sK17)),tptp0) ),
    inference(instantiation,[status(thm)],[c_1411]) ).

tcf(c_1621,plain,
    ! [X0_iProver_occurrence_of_1: iProver_occurrence_of_1,X0_iProver_tptp3_0: iProver_tptp3_0,X1_iProver_occurrence_of_1: iProver_occurrence_of_1,X2_iProver_occurrence_of_1: iProver_occurrence_of_1] :
      ( atomic(X0_iProver_tptp3_0)
      | ( sK15(X0_iProver_occurrence_of_1) = X2_iProver_occurrence_of_1 )
      | ~ leaf_occ(X2_iProver_occurrence_of_1,X1_iProver_occurrence_of_1)
      | ~ occurrence_of(X1_iProver_occurrence_of_1,X0_iProver_tptp3_0)
      | ~ leaf_occ(sK15(X0_iProver_occurrence_of_1),X1_iProver_occurrence_of_1) ),
    inference(instantiation,[status(thm)],[c_288]) ).

tcf(c_2003,plain,
    ! [X0_iProver_occurrence_of_1: iProver_occurrence_of_1,X1_iProver_occurrence_of_1: iProver_occurrence_of_1] :
      ( leaf_occ(sK16(sK14(X0_iProver_occurrence_of_1)),X1_iProver_occurrence_of_1)
      | root_occ(sK16(sK14(X0_iProver_occurrence_of_1)),X1_iProver_occurrence_of_1)
      | ~ occurrence_of(X1_iProver_occurrence_of_1,tptp0)
      | ~ arboreal(sK16(sK14(X0_iProver_occurrence_of_1)))
      | ~ subactivity_occurrence(sK16(sK14(X0_iProver_occurrence_of_1)),X1_iProver_occurrence_of_1) ),
    inference(instantiation,[status(thm)],[c_212]) ).

tcf(c_2157,plain,
    ! [X0_iProver_occurrence_of_1: iProver_occurrence_of_1,X1_iProver_occurrence_of_1: iProver_occurrence_of_1] :
      ( occurrence_of(X0_iProver_occurrence_of_1,tptp1)
      | ~ occurrence_of(sK16(sK14(X1_iProver_occurrence_of_1)),tptp1)
      | ( tptp1 != tptp1 )
      | ( X0_iProver_occurrence_of_1 != sK16(sK14(X1_iProver_occurrence_of_1)) ) ),
    inference(instantiation,[status(thm)],[c_1309]) ).

tcf(c_2303,plain,
    ! [X0_iProver_occurrence_of_1: iProver_occurrence_of_1] :
      ( leaf(sK16(sK14(X0_iProver_occurrence_of_1)),tptp0)
      | min_precedes(sK16(sK14(X0_iProver_occurrence_of_1)),sK3(sK16(sK14(X0_iProver_occurrence_of_1)),tptp0),tptp0)
      | ~ min_precedes(sK14(X0_iProver_occurrence_of_1),sK16(sK14(X0_iProver_occurrence_of_1)),tptp0) ),
    inference(instantiation,[status(thm)],[c_264]) ).

tcf(c_2305,plain,
    ! [X0_iProver_occurrence_of_1: iProver_occurrence_of_1] :
      ( subactivity_occurrence(sK16(sK14(X0_iProver_occurrence_of_1)),sK8(tptp0,sK14(X0_iProver_occurrence_of_1),sK16(sK14(X0_iProver_occurrence_of_1))))
      | ~ min_precedes(sK14(X0_iProver_occurrence_of_1),sK16(sK14(X0_iProver_occurrence_of_1)),tptp0) ),
    inference(instantiation,[status(thm)],[c_244]) ).

tcf(c_2312,plain,
    ! [X0_iProver_occurrence_of_1: iProver_occurrence_of_1,X1_iProver_occurrence_of_1: iProver_occurrence_of_1] :
      ( ~ occurrence_of(X1_iProver_occurrence_of_1,tptp0)
      | ~ root_occ(sK16(sK14(X0_iProver_occurrence_of_1)),X1_iProver_occurrence_of_1)
      | ~ min_precedes(sK14(X0_iProver_occurrence_of_1),sK16(sK14(X0_iProver_occurrence_of_1)),tptp0) ),
    inference(instantiation,[status(thm)],[c_251]) ).

tcf(c_2314,plain,
    ! [X0_iProver_occurrence_of_1: iProver_occurrence_of_1] :
      ( occurrence_of(sK8(tptp0,sK14(X0_iProver_occurrence_of_1),sK16(sK14(X0_iProver_occurrence_of_1))),tptp0)
      | ~ min_precedes(sK14(X0_iProver_occurrence_of_1),sK16(sK14(X0_iProver_occurrence_of_1)),tptp0) ),
    inference(instantiation,[status(thm)],[c_246]) ).

tcf(c_2315,plain,
    ( occurrence_of(sK8(tptp0,sK14(sK17),sK16(sK14(sK17))),tptp0)
    | ~ min_precedes(sK14(sK17),sK16(sK14(sK17)),tptp0) ),
    inference(instantiation,[status(thm)],[c_2314]) ).

tcf(c_2324,plain,
    ( subactivity_occurrence(sK16(sK14(sK17)),sK8(tptp0,sK14(sK17),sK16(sK14(sK17))))
    | ~ min_precedes(sK14(sK17),sK16(sK14(sK17)),tptp0) ),
    inference(instantiation,[status(thm)],[c_2305]) ).

tcf(c_2326,plain,
    ( leaf(sK16(sK14(sK17)),tptp0)
    | min_precedes(sK16(sK14(sK17)),sK3(sK16(sK14(sK17)),tptp0),tptp0)
    | ~ min_precedes(sK14(sK17),sK16(sK14(sK17)),tptp0) ),
    inference(instantiation,[status(thm)],[c_2303]) ).

tcf(c_5298,plain,
    ! [X0_iProver_occurrence_of_1: iProver_occurrence_of_1,X1_iProver_occurrence_of_1: iProver_occurrence_of_1] :
      ( ~ occurrence_of(X1_iProver_occurrence_of_1,tptp0)
      | ~ leaf_occ(sK16(sK14(X0_iProver_occurrence_of_1)),X1_iProver_occurrence_of_1)
      | ~ min_precedes(sK16(sK14(X0_iProver_occurrence_of_1)),sK3(sK16(sK14(X0_iProver_occurrence_of_1)),tptp0),tptp0) ),
    inference(instantiation,[status(thm)],[c_250]) ).

tcf(c_6109,plain,
    ! [X0_iProver_occurrence_of_1: iProver_occurrence_of_1] :
      ( leaf_occ(sK16(sK14(X0_iProver_occurrence_of_1)),sK8(tptp0,sK14(X0_iProver_occurrence_of_1),sK16(sK14(X0_iProver_occurrence_of_1))))
      | root_occ(sK16(sK14(X0_iProver_occurrence_of_1)),sK8(tptp0,sK14(X0_iProver_occurrence_of_1),sK16(sK14(X0_iProver_occurrence_of_1))))
      | ~ arboreal(sK16(sK14(X0_iProver_occurrence_of_1)))
      | ~ occurrence_of(sK8(tptp0,sK14(X0_iProver_occurrence_of_1),sK16(sK14(X0_iProver_occurrence_of_1))),tptp0)
      | ~ subactivity_occurrence(sK16(sK14(X0_iProver_occurrence_of_1)),sK8(tptp0,sK14(X0_iProver_occurrence_of_1),sK16(sK14(X0_iProver_occurrence_of_1)))) ),
    inference(instantiation,[status(thm)],[c_2003]) ).

tcf(c_6110,plain,
    ( leaf_occ(sK16(sK14(sK17)),sK8(tptp0,sK14(sK17),sK16(sK14(sK17))))
    | root_occ(sK16(sK14(sK17)),sK8(tptp0,sK14(sK17),sK16(sK14(sK17))))
    | ~ arboreal(sK16(sK14(sK17)))
    | ~ occurrence_of(sK8(tptp0,sK14(sK17),sK16(sK14(sK17))),tptp0)
    | ~ subactivity_occurrence(sK16(sK14(sK17)),sK8(tptp0,sK14(sK17),sK16(sK14(sK17)))) ),
    inference(instantiation,[status(thm)],[c_6109]) ).

tcf(c_11423,plain,
    ! [X0_iProver_occurrence_of_1: iProver_occurrence_of_1] :
      ( atomic(tptp0)
      | leaf_occ(sK16(sK14(X0_iProver_occurrence_of_1)),sK7(sK16(sK14(X0_iProver_occurrence_of_1)),tptp0))
      | ~ leaf(sK16(sK14(X0_iProver_occurrence_of_1)),tptp0) ),
    inference(instantiation,[status(thm)],[c_247]) ).

tcf(c_11426,plain,
    ! [X0_iProver_occurrence_of_1: iProver_occurrence_of_1] :
      ( atomic(tptp0)
      | occurrence_of(sK7(sK16(sK14(X0_iProver_occurrence_of_1)),tptp0),tptp0)
      | ~ leaf(sK16(sK14(X0_iProver_occurrence_of_1)),tptp0) ),
    inference(instantiation,[status(thm)],[c_248]) ).

tcf(c_11429,plain,
    ( atomic(tptp0)
    | occurrence_of(sK7(sK16(sK14(sK17)),tptp0),tptp0)
    | ~ leaf(sK16(sK14(sK17)),tptp0) ),
    inference(instantiation,[status(thm)],[c_11426]) ).

tcf(c_11432,plain,
    ( atomic(tptp0)
    | leaf_occ(sK16(sK14(sK17)),sK7(sK16(sK14(sK17)),tptp0))
    | ~ leaf(sK16(sK14(sK17)),tptp0) ),
    inference(instantiation,[status(thm)],[c_11423]) ).

tcf(c_15516,plain,
    ! [X0_iProver_occurrence_of_1: iProver_occurrence_of_1] :
      ( ~ min_precedes(sK14(X0_iProver_occurrence_of_1),sK16(sK14(X0_iProver_occurrence_of_1)),tptp0)
      | ~ occurrence_of(sK8(tptp0,sK14(X0_iProver_occurrence_of_1),sK16(sK14(X0_iProver_occurrence_of_1))),tptp0)
      | ~ root_occ(sK16(sK14(X0_iProver_occurrence_of_1)),sK8(tptp0,sK14(X0_iProver_occurrence_of_1),sK16(sK14(X0_iProver_occurrence_of_1)))) ),
    inference(instantiation,[status(thm)],[c_2312]) ).

tcf(c_15517,plain,
    ( ~ min_precedes(sK14(sK17),sK16(sK14(sK17)),tptp0)
    | ~ occurrence_of(sK8(tptp0,sK14(sK17),sK16(sK14(sK17))),tptp0)
    | ~ root_occ(sK16(sK14(sK17)),sK8(tptp0,sK14(sK17),sK16(sK14(sK17)))) ),
    inference(instantiation,[status(thm)],[c_15516]) ).

tcf(c_20300,plain,
    ! [X0_iProver_occurrence_of_1: iProver_occurrence_of_1,X0_iProver_tptp3_0: iProver_tptp3_0,X1_iProver_occurrence_of_1: iProver_occurrence_of_1] :
      ( atomic(X0_iProver_tptp3_0)
      | ( sK15(X1_iProver_occurrence_of_1) = sK16(sK14(X0_iProver_occurrence_of_1)) )
      | ~ occurrence_of(sK7(sK16(sK14(X0_iProver_occurrence_of_1)),tptp0),X0_iProver_tptp3_0)
      | ~ leaf_occ(sK15(X1_iProver_occurrence_of_1),sK7(sK16(sK14(X0_iProver_occurrence_of_1)),tptp0))
      | ~ leaf_occ(sK16(sK14(X0_iProver_occurrence_of_1)),sK7(sK16(sK14(X0_iProver_occurrence_of_1)),tptp0)) ),
    inference(instantiation,[status(thm)],[c_1621]) ).

tcf(c_22789,plain,
    ! [X0_iProver_occurrence_of_1: iProver_occurrence_of_1] :
      ( ~ occurrence_of(sK8(tptp0,sK14(X0_iProver_occurrence_of_1),sK16(sK14(X0_iProver_occurrence_of_1))),tptp0)
      | ~ min_precedes(sK16(sK14(X0_iProver_occurrence_of_1)),sK3(sK16(sK14(X0_iProver_occurrence_of_1)),tptp0),tptp0)
      | ~ leaf_occ(sK16(sK14(X0_iProver_occurrence_of_1)),sK8(tptp0,sK14(X0_iProver_occurrence_of_1),sK16(sK14(X0_iProver_occurrence_of_1)))) ),
    inference(instantiation,[status(thm)],[c_5298]) ).

tcf(c_22792,plain,
    ( ~ occurrence_of(sK8(tptp0,sK14(sK17),sK16(sK14(sK17))),tptp0)
    | ~ min_precedes(sK16(sK14(sK17)),sK3(sK16(sK14(sK17)),tptp0),tptp0)
    | ~ leaf_occ(sK16(sK14(sK17)),sK8(tptp0,sK14(sK17),sK16(sK14(sK17)))) ),
    inference(instantiation,[status(thm)],[c_22789]) ).

tcf(c_28448,plain,
    ! [X0_iProver_occurrence_of_1: iProver_occurrence_of_1,X0_iProver_tptp3_0: iProver_tptp3_0] :
      ( atomic(X0_iProver_tptp3_0)
      | ( sK15(sK7(sK16(sK14(X0_iProver_occurrence_of_1)),tptp0)) = sK16(sK14(X0_iProver_occurrence_of_1)) )
      | ~ occurrence_of(sK7(sK16(sK14(X0_iProver_occurrence_of_1)),tptp0),X0_iProver_tptp3_0)
      | ~ leaf_occ(sK16(sK14(X0_iProver_occurrence_of_1)),sK7(sK16(sK14(X0_iProver_occurrence_of_1)),tptp0))
      | ~ leaf_occ(sK15(sK7(sK16(sK14(X0_iProver_occurrence_of_1)),tptp0)),sK7(sK16(sK14(X0_iProver_occurrence_of_1)),tptp0)) ),
    inference(instantiation,[status(thm)],[c_20300]) ).

tcf(c_28449,plain,
    ! [X0_iProver_occurrence_of_1: iProver_occurrence_of_1] :
      ( leaf_occ(sK15(sK7(sK16(sK14(X0_iProver_occurrence_of_1)),tptp0)),sK7(sK16(sK14(X0_iProver_occurrence_of_1)),tptp0))
      | ~ occurrence_of(sK7(sK16(sK14(X0_iProver_occurrence_of_1)),tptp0),tptp0) ),
    inference(instantiation,[status(thm)],[c_226]) ).

tcf(c_28450,plain,
    ( atomic(tptp0)
    | ( sK15(sK7(sK16(sK14(sK17)),tptp0)) = sK16(sK14(sK17)) )
    | ~ occurrence_of(sK7(sK16(sK14(sK17)),tptp0),tptp0)
    | ~ leaf_occ(sK16(sK14(sK17)),sK7(sK16(sK14(sK17)),tptp0))
    | ~ leaf_occ(sK15(sK7(sK16(sK14(sK17)),tptp0)),sK7(sK16(sK14(sK17)),tptp0)) ),
    inference(instantiation,[status(thm)],[c_28448]) ).

tcf(c_28451,plain,
    ( leaf_occ(sK15(sK7(sK16(sK14(sK17)),tptp0)),sK7(sK16(sK14(sK17)),tptp0))
    | ~ occurrence_of(sK7(sK16(sK14(sK17)),tptp0),tptp0) ),
    inference(instantiation,[status(thm)],[c_28449]) ).

tcf(c_33914,plain,
    ! [X0_iProver_occurrence_of_1: iProver_occurrence_of_1] :
      ( occurrence_of(sK15(sK7(sK16(sK14(X0_iProver_occurrence_of_1)),tptp0)),tptp1)
      | ~ occurrence_of(sK16(sK14(X0_iProver_occurrence_of_1)),tptp1)
      | ( tptp1 != tptp1 )
      | ( sK15(sK7(sK16(sK14(X0_iProver_occurrence_of_1)),tptp0)) != sK16(sK14(X0_iProver_occurrence_of_1)) ) ),
    inference(instantiation,[status(thm)],[c_2157]) ).

tcf(c_33915,plain,
    ( occurrence_of(sK15(sK7(sK16(sK14(sK17)),tptp0)),tptp1)
    | ~ occurrence_of(sK16(sK14(sK17)),tptp1)
    | ( tptp1 != tptp1 )
    | ( sK15(sK7(sK16(sK14(sK17)),tptp0)) != sK16(sK14(sK17)) ) ),
    inference(instantiation,[status(thm)],[c_33914]) ).

tcf(c_35683,plain,
    ! [X0_iProver_occurrence_of_1: iProver_occurrence_of_1] :
      ( ( tptp3 = tptp1 )
      | ~ occurrence_of(sK15(sK7(sK16(sK14(X0_iProver_occurrence_of_1)),tptp0)),tptp1)
      | ~ occurrence_of(sK15(sK7(sK16(sK14(X0_iProver_occurrence_of_1)),tptp0)),tptp3) ),
    inference(instantiation,[status(thm)],[c_390]) ).

tcf(c_35684,plain,
    ! [X0_iProver_occurrence_of_1: iProver_occurrence_of_1] :
      ( ( tptp2 = tptp1 )
      | ~ occurrence_of(sK15(sK7(sK16(sK14(X0_iProver_occurrence_of_1)),tptp0)),tptp1)
      | ~ occurrence_of(sK15(sK7(sK16(sK14(X0_iProver_occurrence_of_1)),tptp0)),tptp2) ),
    inference(instantiation,[status(thm)],[c_388]) ).

tcf(c_35685,plain,
    ( ( tptp2 = tptp1 )
    | ~ occurrence_of(sK15(sK7(sK16(sK14(sK17)),tptp0)),tptp1)
    | ~ occurrence_of(sK15(sK7(sK16(sK14(sK17)),tptp0)),tptp2) ),
    inference(instantiation,[status(thm)],[c_35684]) ).

tcf(c_35686,plain,
    ( ( tptp3 = tptp1 )
    | ~ occurrence_of(sK15(sK7(sK16(sK14(sK17)),tptp0)),tptp1)
    | ~ occurrence_of(sK15(sK7(sK16(sK14(sK17)),tptp0)),tptp3) ),
    inference(instantiation,[status(thm)],[c_35683]) ).

tcf(c_60088,plain,
    ! [X0_iProver_occurrence_of_1: iProver_occurrence_of_1] :
      ( occurrence_of(sK15(sK7(sK16(sK14(X0_iProver_occurrence_of_1)),tptp0)),tptp2)
      | occurrence_of(sK15(sK7(sK16(sK14(X0_iProver_occurrence_of_1)),tptp0)),tptp3)
      | ~ occurrence_of(sK7(sK16(sK14(X0_iProver_occurrence_of_1)),tptp0),tptp0) ),
    inference(instantiation,[status(thm)],[c_227]) ).

tcf(c_60089,plain,
    ( occurrence_of(sK15(sK7(sK16(sK14(sK17)),tptp0)),tptp2)
    | occurrence_of(sK15(sK7(sK16(sK14(sK17)),tptp0)),tptp3)
    | ~ occurrence_of(sK7(sK16(sK14(sK17)),tptp0),tptp0) ),
    inference(instantiation,[status(thm)],[c_60088]) ).

tcf(c_60090,plain,
    $false,
    inference(prop_impl_just,[status(thm)],[c_60089,c_35686,c_35685,c_33915,c_28451,c_28450,c_22792,c_15517,c_11432,c_11429,c_6110,c_2326,c_2324,c_2315,c_1416,c_1357,c_1310,c_656,c_628,c_627,c_501,c_469,c_465,c_318,c_315,c_215,c_214,c_117,c_131,c_121]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02  % Problem  : PRO005+2 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04  % Command  : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.12/0.39  % Computer : n019.cluster.edu
% 0.12/0.39  % Model    : x86_64 x86_64
% 0.12/0.39  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.39  % Memory   : 8046.5625MB
% 0.12/0.39  % OS       : Linux 6.8.0-71-generic
% 0.12/0.39  % CPULimit : 300
% 0.12/0.39  % WCLimit  : 300
% 0.12/0.39  % DateTime : Thu Sep 24 06:24:34 UTC 2026
% 0.12/0.40  % CPUTime  : 
% 0.12/0.40  Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.12/0.44  Running first-order theorem proving
% 0.12/0.44  Running: /export/starexec/sandbox/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s fof_schedule -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.46  
% 0.12/0.46  % ======== iProver multi-core TPTP/SMT =========
% 0.12/0.46  
% 0.12/0.46  % Detected problem language: tptp
% 0.19/0.49  % Proving...
% 86.05/13.50  % SZS status Started for theBenchmark.p
% 86.05/13.50  % SZS status Theorem for theBenchmark.p
% 86.05/13.50  
% 86.05/13.50  %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 86.05/13.50  
% 86.05/13.50  % ------  iProver source info
% 86.05/13.50  
% 86.05/13.50  % git: date: 2026-07-19 20:42:38 +0200
% 86.05/13.50  % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 86.05/13.50  % git: non_committed_changes: false
% 86.05/13.50  
% 86.05/13.50  % ------ Parsing...
% 86.05/13.50  % ------ Clausification by vclausify_rel  & Parsing by iProver...% 
% 86.05/13.50  
% 86.05/13.50  % ------ Preprocessing... sf_s  rm: 1 0s  sf_e % 
% 86.05/13.50  
% 86.05/13.50  % ------ Preprocessing...% 
% 86.05/13.50  
% 86.05/13.50  % ------ Preprocessing... sf_s  rm: 1 0s  sf_e  sf_s  rm: 0 0s  sf_e 
% 86.05/13.50  % ------ Proving...
% 86.05/13.50  % ------ Problem Properties 
% 86.05/13.50  
% 86.05/13.50  % 
% 86.05/13.50  % clauses                               83
% 86.05/13.50  % conjectures                           1
% 86.05/13.50  % EPR                                   47
% 86.05/13.50  % Horn                                  66
% 86.05/13.50  % unary                                 13
% 86.05/13.50  % binary                                40
% 86.05/13.50  % lits                                  200
% 86.05/13.50  % lits eq                               10
% 86.05/13.50  % fd_pure                               0
% 86.05/13.50  % fd_pseudo                             0
% 86.05/13.50  % fd_cond                               0
% 86.05/13.50  % fd_pseudo_cond                        4
% 86.05/13.50  % AC symbols                            0
% 86.05/13.50  
% 86.05/13.50  % ------ Input Options Time Limit: Unbounded
% 86.05/13.50  
% 86.05/13.50  
% 86.05/13.50  % ------ 
% 86.05/13.50  % Current options:
% 86.05/13.50  % ------ 
% 86.05/13.50  
% 86.05/13.50  
% 86.05/13.50  % 
% 86.05/13.50  
% 86.05/13.50  % ------ Proving...
% 86.05/13.50  % 
% 86.05/13.50  
% 86.05/13.50  % SZS status Theorem for theBenchmark.p
% 86.05/13.50  
% 86.05/13.50  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 53.53/13.51  
%------------------------------------------------------------------------------