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iProver---3.9.4.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : iProver---3.9.4
% Problem  : PRO014+3 : TPTP v9.3.1. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM

% Computer : n015.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 02:31:37 PM UTC 2026

% Result   : Theorem 42.20s 6.99s
% Output   : CNFRefutation 42.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   11
%            Number of leaves      :   14
% Syntax   : Number of formulae    :  189 (  14 unt;   0 def)
%            Number of atoms       :  806 (  33 equ)
%            Maximal formula atoms :   12 (   4 avg)
%            Number of connectives : 1068 ( 451   ~; 485   |; 118   &)
%                                         (   5 <=>;   9  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   13 (   7 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of types       :    1 (   0 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of predicates  :   13 (  11 usr;   3 prp; 0-3 aty)
%            Number of functors    :   16 (  16 usr;   7 con; 0-3 aty)
%            Number of variables   :  418 (   0 sgn 380   !;  38   ?; 193   :)

% Comments : 
%------------------------------------------------------------------------------
fof(f22,axiom,
    ! [X0,X1] :
      ( leaf(X0,X1)
    <=> ( ~ ? [X3] : min_precedes(X0,X3,X1)
        & ( ? [X2] : min_precedes(X2,X0,X1)
          | root(X0,X1) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_21) ).

fof(f23,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/sandbox2/benchmark/theBenchmark.p',sos_22) ).

fof(f26,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/sandbox2/benchmark/theBenchmark.p',sos_25) ).

fof(f30,axiom,
    ! [X0,X1,X2,X3] :
      ( ( subactivity_occurrence(X1,X3)
        & occurrence_of(X3,X2)
        & min_precedes(X0,X1,X2) )
     => subactivity_occurrence(X0,X3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_29) ).

fof(f35,axiom,
    ! [X0,X1] :
      ( leaf_occ(X0,X1)
    <=> ? [X2] :
          ( leaf(X0,X2)
          & subactivity_occurrence(X0,X1)
          & occurrence_of(X1,X2) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_34) ).

fof(f37,axiom,
    ! [X0,X1,X2,X3] :
      ( ( leaf_occ(X1,X2)
        & leaf_occ(X0,X2)
        & ~ atomic(X3)
        & occurrence_of(X2,X3) )
     => X0 = X1 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_36) ).

fof(f44,axiom,
    ! [X0,X1,X2,X3] :
      ( ( ~ min_precedes(X2,X3,X0)
        & arboreal(X2)
        & leaf_occ(X3,X1)
        & subactivity_occurrence(X2,X1)
        & occurrence_of(X1,X0) )
     => X3 = X2 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_43) ).

fof(f45,axiom,
    ! [X0,X1,X2] :
      ( next_subocc(X0,X1,X2)
     => ( arboreal(X1)
        & arboreal(X0) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_44) ).

fof(f46,axiom,
    ! [X0,X1] :
      ( ( ~ atomic(X1)
        & leaf(X0,X1) )
     => ? [X2] :
          ( leaf_occ(X0,X2)
          & occurrence_of(X2,X1) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_45) ).

fof(f50,axiom,
    ! [X0,X1] :
      ( ( ~ leaf_occ(X0,X1)
        & arboreal(X0)
        & subactivity_occurrence(X0,X1)
        & occurrence_of(X1,tptp0) )
     => ? [X2,X3,X4] :
          ( leaf(X4,tptp0)
          & next_subocc(X3,X4,tptp0)
          & ( occurrence_of(X4,tptp1)
            | occurrence_of(X4,tptp2) )
          & next_subocc(X2,X3,tptp0)
          & occurrence_of(X3,tptp4)
          & next_subocc(X0,X2,tptp0)
          & occurrence_of(X2,tptp3) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_49) ).

fof(f52,axiom,
    ~ atomic(tptp0),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_51) ).

fof(f63,conjecture,
    ! [X0,X1] :
      ( ( ~ leaf_occ(X0,X1)
        & arboreal(X0)
        & subactivity_occurrence(X0,X1)
        & occurrence_of(X1,tptp0) )
     => ? [X2,X3] :
          ( leaf(X3,tptp0)
          & min_precedes(X2,X3,tptp0)
          & ( occurrence_of(X3,tptp1)
            | occurrence_of(X3,tptp2) )
          & next_subocc(X0,X2,tptp0)
          & occurrence_of(X2,tptp3) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goals) ).

fof(f64,negated_conjecture,
    ~ ! [X0,X1] :
        ( ( ~ leaf_occ(X0,X1)
          & arboreal(X0)
          & subactivity_occurrence(X0,X1)
          & occurrence_of(X1,tptp0) )
       => ? [X2,X3] :
            ( leaf(X3,tptp0)
            & min_precedes(X2,X3,tptp0)
            & ( occurrence_of(X3,tptp1)
              | occurrence_of(X3,tptp2) )
            & next_subocc(X0,X2,tptp0)
            & occurrence_of(X2,tptp3) ) ),
    inference(negated_conjecture,[status(cth)],[f63]) ).

fof(f93,plain,
    ! [X0,X1] :
      ( leaf(X0,X1)
    <=> ( ! [X3] : ~ min_precedes(X0,X3,X1)
        & ( ? [X2] : min_precedes(X2,X0,X1)
          | root(X0,X1) ) ) ),
    inference(ennf_transformation,[],[f22]) ).

fof(f94,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,[],[f23]) ).

fof(f96,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,[],[f26]) ).

fof(f103,plain,
    ! [X0,X1,X2,X3] :
      ( ~ subactivity_occurrence(X1,X3)
      | ~ occurrence_of(X3,X2)
      | ~ min_precedes(X0,X1,X2)
      | subactivity_occurrence(X0,X3) ),
    inference(ennf_transformation,[],[f30]) ).

fof(f104,plain,
    ! [X0,X1,X2,X3] :
      ( ~ subactivity_occurrence(X1,X3)
      | ~ occurrence_of(X3,X2)
      | ~ min_precedes(X0,X1,X2)
      | subactivity_occurrence(X0,X3) ),
    inference(flattening,[],[f103]) ).

fof(f114,plain,
    ! [X0,X1,X2,X3] :
      ( ~ leaf_occ(X1,X2)
      | ~ leaf_occ(X0,X2)
      | atomic(X3)
      | ~ occurrence_of(X2,X3)
      | X0 = X1 ),
    inference(ennf_transformation,[],[f37]) ).

fof(f115,plain,
    ! [X0,X1,X2,X3] :
      ( ~ leaf_occ(X1,X2)
      | ~ leaf_occ(X0,X2)
      | atomic(X3)
      | ~ occurrence_of(X2,X3)
      | X0 = X1 ),
    inference(flattening,[],[f114]) ).

fof(f128,plain,
    ! [X0,X1,X2,X3] :
      ( min_precedes(X2,X3,X0)
      | ~ arboreal(X2)
      | ~ leaf_occ(X3,X1)
      | ~ subactivity_occurrence(X2,X1)
      | ~ occurrence_of(X1,X0)
      | X3 = X2 ),
    inference(ennf_transformation,[],[f44]) ).

fof(f129,plain,
    ! [X0,X1,X2,X3] :
      ( min_precedes(X2,X3,X0)
      | ~ arboreal(X2)
      | ~ leaf_occ(X3,X1)
      | ~ subactivity_occurrence(X2,X1)
      | ~ occurrence_of(X1,X0)
      | X3 = X2 ),
    inference(flattening,[],[f128]) ).

fof(f130,plain,
    ! [X0,X1,X2] :
      ( ~ next_subocc(X0,X1,X2)
      | ( arboreal(X1)
        & arboreal(X0) ) ),
    inference(ennf_transformation,[],[f45]) ).

fof(f131,plain,
    ! [X0,X1] :
      ( atomic(X1)
      | ~ leaf(X0,X1)
      | ? [X2] :
          ( leaf_occ(X0,X2)
          & occurrence_of(X2,X1) ) ),
    inference(ennf_transformation,[],[f46]) ).

fof(f132,plain,
    ! [X0,X1] :
      ( atomic(X1)
      | ~ leaf(X0,X1)
      | ? [X2] :
          ( leaf_occ(X0,X2)
          & occurrence_of(X2,X1) ) ),
    inference(flattening,[],[f131]) ).

fof(f138,plain,
    ! [X0,X1] :
      ( leaf_occ(X0,X1)
      | ~ arboreal(X0)
      | ~ subactivity_occurrence(X0,X1)
      | ~ occurrence_of(X1,tptp0)
      | ? [X2,X3,X4] :
          ( leaf(X4,tptp0)
          & next_subocc(X3,X4,tptp0)
          & ( occurrence_of(X4,tptp1)
            | occurrence_of(X4,tptp2) )
          & next_subocc(X2,X3,tptp0)
          & occurrence_of(X3,tptp4)
          & next_subocc(X0,X2,tptp0)
          & occurrence_of(X2,tptp3) ) ),
    inference(ennf_transformation,[],[f50]) ).

fof(f139,plain,
    ! [X0,X1] :
      ( leaf_occ(X0,X1)
      | ~ arboreal(X0)
      | ~ subactivity_occurrence(X0,X1)
      | ~ occurrence_of(X1,tptp0)
      | ? [X2,X3,X4] :
          ( leaf(X4,tptp0)
          & next_subocc(X3,X4,tptp0)
          & ( occurrence_of(X4,tptp1)
            | occurrence_of(X4,tptp2) )
          & next_subocc(X2,X3,tptp0)
          & occurrence_of(X3,tptp4)
          & next_subocc(X0,X2,tptp0)
          & occurrence_of(X2,tptp3) ) ),
    inference(flattening,[],[f138]) ).

fof(f140,plain,
    ? [X0,X1] :
      ( ~ leaf_occ(X0,X1)
      & arboreal(X0)
      & subactivity_occurrence(X0,X1)
      & occurrence_of(X1,tptp0)
      & ! [X2,X3] :
          ( ~ leaf(X3,tptp0)
          | ~ min_precedes(X2,X3,tptp0)
          | ( ~ occurrence_of(X3,tptp1)
            & ~ occurrence_of(X3,tptp2) )
          | ~ next_subocc(X0,X2,tptp0)
          | ~ occurrence_of(X2,tptp3) ) ),
    inference(ennf_transformation,[],[f64]) ).

fof(f141,plain,
    ? [X0,X1] :
      ( ~ leaf_occ(X0,X1)
      & arboreal(X0)
      & subactivity_occurrence(X0,X1)
      & occurrence_of(X1,tptp0)
      & ! [X2,X3] :
          ( ~ leaf(X3,tptp0)
          | ~ min_precedes(X2,X3,tptp0)
          | ( ~ occurrence_of(X3,tptp1)
            & ~ occurrence_of(X3,tptp2) )
          | ~ next_subocc(X0,X2,tptp0)
          | ~ occurrence_of(X2,tptp3) ) ),
    inference(flattening,[],[f140]) ).

fof(f149,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,[],[f93]) ).

fof(f150,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,[],[f149]) ).

fof(f151,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,[],[f150]) ).

fof(f152,plain,
    ! [X0,X1] :
      ( ( ~ leaf(X0,X1)
        | ( ! [X5] : ~ min_precedes(X0,X5,X1)
          & ( min_precedes(sK6(X0,X1),X0,X1)
            | root(X0,X1) ) ) )
      & ( min_precedes(X0,sK5(X0,X1),X1)
        | ( ! [X2] : ~ min_precedes(X2,X0,X1)
          & ~ root(X0,X1) )
        | leaf(X0,X1) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK5,sK6]),skolemize(X3,sK5(X0,X1)),skolemize(X4,sK6(X0,X1))],[f151]) ).

fof(f153,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,[],[f94]) ).

fof(f154,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,[],[f153]) ).

fof(f155,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,[],[f154]) ).

fof(f156,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(sK7(X0,X1,X2),X1,X2)
          & min_precedes(X0,sK7(X0,X1,X2),X2) )
        | ~ min_precedes(X0,X1,X2)
        | next_subocc(X0,X1,X2) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK7]),skolemize(X3,sK7(X0,X1,X2))],[f155]) ).

fof(f160,plain,
    ! [X0,X1,X2] :
      ( ~ min_precedes(X1,X2,X0)
      | ( subactivity_occurrence(X2,sK9(X0,X1,X2))
        & subactivity_occurrence(X1,sK9(X0,X1,X2))
        & occurrence_of(sK9(X0,X1,X2),X0) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK9]),skolemize(X3,sK9(X0,X1,X2))],[f96]) ).

fof(f164,plain,
    ! [X0,X1] :
      ( ( ~ leaf_occ(X0,X1)
        | ? [X2] :
            ( leaf(X0,X2)
            & subactivity_occurrence(X0,X1)
            & occurrence_of(X1,X2) ) )
      & ( ! [X2] :
            ( ~ leaf(X0,X2)
            | ~ subactivity_occurrence(X0,X1)
            | ~ occurrence_of(X1,X2) )
        | leaf_occ(X0,X1) ) ),
    inference(nnf_transformation,[],[f35]) ).

fof(f165,plain,
    ! [X0,X1] :
      ( ( ~ leaf_occ(X0,X1)
        | ? [X3] :
            ( leaf(X0,X3)
            & subactivity_occurrence(X0,X1)
            & occurrence_of(X1,X3) ) )
      & ( ! [X2] :
            ( ~ leaf(X0,X2)
            | ~ subactivity_occurrence(X0,X1)
            | ~ occurrence_of(X1,X2) )
        | leaf_occ(X0,X1) ) ),
    inference(rectify,[],[f164]) ).

fof(f166,plain,
    ! [X0,X1] :
      ( ( ~ leaf_occ(X0,X1)
        | ( leaf(X0,sK13(X0,X1))
          & subactivity_occurrence(X0,X1)
          & occurrence_of(X1,sK13(X0,X1)) ) )
      & ( ! [X2] :
            ( ~ leaf(X0,X2)
            | ~ subactivity_occurrence(X0,X1)
            | ~ occurrence_of(X1,X2) )
        | leaf_occ(X0,X1) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK13]),skolemize(X3,sK13(X0,X1))],[f165]) ).

fof(f167,plain,
    ! [X0,X1] :
      ( atomic(X1)
      | ~ leaf(X0,X1)
      | ( leaf_occ(X0,sK14(X0,X1))
        & occurrence_of(sK14(X0,X1),X1) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK14]),skolemize(X2,sK14(X0,X1))],[f132]) ).

fof(f168,plain,
    ! [X0,X1] :
      ( leaf_occ(X0,X1)
      | ~ arboreal(X0)
      | ~ subactivity_occurrence(X0,X1)
      | ~ occurrence_of(X1,tptp0)
      | ( leaf(sK17(X0),tptp0)
        & next_subocc(sK16(X0),sK17(X0),tptp0)
        & ( occurrence_of(sK17(X0),tptp1)
          | occurrence_of(sK17(X0),tptp2) )
        & next_subocc(sK15(X0),sK16(X0),tptp0)
        & occurrence_of(sK16(X0),tptp4)
        & next_subocc(X0,sK15(X0),tptp0)
        & occurrence_of(sK15(X0),tptp3) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK15,sK16,sK17]),skolemize(X2,sK15(X0)),skolemize(X3,sK16(X0)),skolemize(X4,sK17(X0))],[f139]) ).

fof(f169,plain,
    ( ~ leaf_occ(sK18,sK19)
    & arboreal(sK18)
    & subactivity_occurrence(sK18,sK19)
    & occurrence_of(sK19,tptp0)
    & ! [X2,X3] :
        ( ~ leaf(X3,tptp0)
        | ~ min_precedes(X2,X3,tptp0)
        | ( ~ occurrence_of(X3,tptp1)
          & ~ occurrence_of(X3,tptp2) )
        | ~ next_subocc(sK18,X2,tptp0)
        | ~ occurrence_of(X2,tptp3) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK18,sK19]),skolemize(X0,sK18),skolemize(X1,sK19)],[f141]) ).

fof(f201,plain,
    ! [X0,X1,X5] :
      ( ~ leaf(X0,X1)
      | ~ min_precedes(X0,X5,X1) ),
    inference(cnf_transformation,[],[f152]) ).

fof(f206,plain,
    ! [X2,X0,X1] :
      ( ~ next_subocc(X0,X1,X2)
      | min_precedes(X0,X1,X2) ),
    inference(cnf_transformation,[],[f156]) ).

fof(f215,plain,
    ! [X2,X0,X1] :
      ( ~ min_precedes(X1,X2,X0)
      | subactivity_occurrence(X2,sK9(X0,X1,X2)) ),
    inference(cnf_transformation,[],[f160]) ).

fof(f216,plain,
    ! [X2,X0,X1] :
      ( ~ min_precedes(X1,X2,X0)
      | subactivity_occurrence(X1,sK9(X0,X1,X2)) ),
    inference(cnf_transformation,[],[f160]) ).

fof(f217,plain,
    ! [X2,X0,X1] :
      ( ~ min_precedes(X1,X2,X0)
      | occurrence_of(sK9(X0,X1,X2),X0) ),
    inference(cnf_transformation,[],[f160]) ).

fof(f223,plain,
    ! [X2,X3,X0,X1] :
      ( ~ subactivity_occurrence(X1,X3)
      | ~ occurrence_of(X3,X2)
      | ~ min_precedes(X0,X1,X2)
      | subactivity_occurrence(X0,X3) ),
    inference(cnf_transformation,[],[f104]) ).

fof(f230,plain,
    ! [X0,X1] :
      ( ~ leaf_occ(X0,X1)
      | subactivity_occurrence(X0,X1) ),
    inference(cnf_transformation,[],[f166]) ).

fof(f232,plain,
    ! [X2,X0,X1] :
      ( ~ leaf(X0,X2)
      | ~ subactivity_occurrence(X0,X1)
      | ~ occurrence_of(X1,X2)
      | leaf_occ(X0,X1) ),
    inference(cnf_transformation,[],[f166]) ).

fof(f234,plain,
    ! [X2,X3,X0,X1] :
      ( ~ leaf_occ(X1,X2)
      | ~ leaf_occ(X0,X2)
      | atomic(X3)
      | ~ occurrence_of(X2,X3)
      | X0 = X1 ),
    inference(cnf_transformation,[],[f115]) ).

fof(f241,plain,
    ! [X2,X3,X0,X1] :
      ( min_precedes(X2,X3,X0)
      | ~ arboreal(X2)
      | ~ leaf_occ(X3,X1)
      | ~ subactivity_occurrence(X2,X1)
      | ~ occurrence_of(X1,X0)
      | X2 = X3 ),
    inference(cnf_transformation,[],[f129]) ).

fof(f242,plain,
    ! [X2,X0,X1] :
      ( ~ next_subocc(X0,X1,X2)
      | arboreal(X1) ),
    inference(cnf_transformation,[],[f130]) ).

fof(f244,plain,
    ! [X0,X1] :
      ( atomic(X1)
      | ~ leaf(X0,X1)
      | leaf_occ(X0,sK14(X0,X1)) ),
    inference(cnf_transformation,[],[f167]) ).

fof(f245,plain,
    ! [X0,X1] :
      ( atomic(X1)
      | ~ leaf(X0,X1)
      | occurrence_of(sK14(X0,X1),X1) ),
    inference(cnf_transformation,[],[f167]) ).

fof(f249,plain,
    ! [X0,X1] :
      ( leaf_occ(X0,X1)
      | ~ arboreal(X0)
      | ~ subactivity_occurrence(X0,X1)
      | ~ occurrence_of(X1,tptp0)
      | leaf(sK17(X0),tptp0) ),
    inference(cnf_transformation,[],[f168]) ).

fof(f250,plain,
    ! [X0,X1] :
      ( leaf_occ(X0,X1)
      | ~ arboreal(X0)
      | ~ subactivity_occurrence(X0,X1)
      | ~ occurrence_of(X1,tptp0)
      | next_subocc(sK16(X0),sK17(X0),tptp0) ),
    inference(cnf_transformation,[],[f168]) ).

fof(f251,plain,
    ! [X0,X1] :
      ( leaf_occ(X0,X1)
      | ~ arboreal(X0)
      | ~ subactivity_occurrence(X0,X1)
      | ~ occurrence_of(X1,tptp0)
      | occurrence_of(sK17(X0),tptp1)
      | occurrence_of(sK17(X0),tptp2) ),
    inference(cnf_transformation,[],[f168]) ).

fof(f252,plain,
    ! [X0,X1] :
      ( leaf_occ(X0,X1)
      | ~ arboreal(X0)
      | ~ subactivity_occurrence(X0,X1)
      | ~ occurrence_of(X1,tptp0)
      | next_subocc(sK15(X0),sK16(X0),tptp0) ),
    inference(cnf_transformation,[],[f168]) ).

fof(f254,plain,
    ! [X0,X1] :
      ( leaf_occ(X0,X1)
      | ~ arboreal(X0)
      | ~ subactivity_occurrence(X0,X1)
      | ~ occurrence_of(X1,tptp0)
      | next_subocc(X0,sK15(X0),tptp0) ),
    inference(cnf_transformation,[],[f168]) ).

fof(f255,plain,
    ! [X0,X1] :
      ( leaf_occ(X0,X1)
      | ~ arboreal(X0)
      | ~ subactivity_occurrence(X0,X1)
      | ~ occurrence_of(X1,tptp0)
      | occurrence_of(sK15(X0),tptp3) ),
    inference(cnf_transformation,[],[f168]) ).

fof(f257,plain,
    ~ atomic(tptp0),
    inference(cnf_transformation,[],[f52]) ).

fof(f268,plain,
    ~ leaf_occ(sK18,sK19),
    inference(cnf_transformation,[],[f169]) ).

fof(f269,plain,
    arboreal(sK18),
    inference(cnf_transformation,[],[f169]) ).

fof(f270,plain,
    subactivity_occurrence(sK18,sK19),
    inference(cnf_transformation,[],[f169]) ).

fof(f271,plain,
    occurrence_of(sK19,tptp0),
    inference(cnf_transformation,[],[f169]) ).

fof(f272,plain,
    ! [X2,X3] :
      ( ~ leaf(X3,tptp0)
      | ~ min_precedes(X2,X3,tptp0)
      | ~ occurrence_of(X3,tptp1)
      | ~ next_subocc(sK18,X2,tptp0)
      | ~ occurrence_of(X2,tptp3) ),
    inference(cnf_transformation,[],[f169]) ).

fof(f273,plain,
    ! [X2,X3] :
      ( ~ leaf(X3,tptp0)
      | ~ min_precedes(X2,X3,tptp0)
      | ~ occurrence_of(X3,tptp2)
      | ~ next_subocc(sK18,X2,tptp0)
      | ~ occurrence_of(X2,tptp3) ),
    inference(cnf_transformation,[],[f169]) ).

tcf(c_83,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ leaf(X0,X2)
      | ~ min_precedes(X0,X1,X2) ),
    inference(cnf_transformation,[],[f201]) ).

tcf(c_86,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( min_precedes(X0,X1,X2)
      | ~ next_subocc(X0,X1,X2) ),
    inference(cnf_transformation,[],[f206]) ).

tcf(c_94,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( occurrence_of(sK9(X2,X0,X1),X2)
      | ~ min_precedes(X0,X1,X2) ),
    inference(cnf_transformation,[],[f217]) ).

tcf(c_95,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( subactivity_occurrence(X0,sK9(X2,X0,X1))
      | ~ min_precedes(X0,X1,X2) ),
    inference(cnf_transformation,[],[f216]) ).

tcf(c_96,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( subactivity_occurrence(X1,sK9(X2,X0,X1))
      | ~ min_precedes(X0,X1,X2) ),
    inference(cnf_transformation,[],[f215]) ).

tcf(c_102,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( subactivity_occurrence(X0,X3)
      | ~ subactivity_occurrence(X1,X3)
      | ~ occurrence_of(X3,X2)
      | ~ min_precedes(X0,X1,X2) ),
    inference(cnf_transformation,[],[f223]) ).

tcf(c_108,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( leaf_occ(X2,X0)
      | ~ subactivity_occurrence(X2,X0)
      | ~ leaf(X2,X1)
      | ~ occurrence_of(X0,X1) ),
    inference(cnf_transformation,[],[f232]) ).

tcf(c_110,plain,
    ! [X0: $i,X1: $i] :
      ( subactivity_occurrence(X0,X1)
      | ~ leaf_occ(X0,X1) ),
    inference(cnf_transformation,[],[f230]) ).

tcf(c_113,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,[],[f234]) ).

tcf(c_120,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( min_precedes(X2,X3,X1)
      | ( X2 = X3 )
      | ~ arboreal(X2)
      | ~ leaf_occ(X3,X0)
      | ~ subactivity_occurrence(X2,X0)
      | ~ occurrence_of(X0,X1) ),
    inference(cnf_transformation,[],[f241]) ).

tcf(c_122,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( arboreal(X1)
      | ~ next_subocc(X0,X1,X2) ),
    inference(cnf_transformation,[],[f242]) ).

tcf(c_123,plain,
    ! [X0: $i,X1: $i] :
      ( atomic(X1)
      | occurrence_of(sK14(X0,X1),X1)
      | ~ leaf(X0,X1) ),
    inference(cnf_transformation,[],[f245]) ).

tcf(c_124,plain,
    ! [X0: $i,X1: $i] :
      ( atomic(X1)
      | leaf_occ(X0,sK14(X0,X1))
      | ~ leaf(X0,X1) ),
    inference(cnf_transformation,[],[f244]) ).

tcf(c_128,plain,
    ! [X0: $i,X1: $i] :
      ( leaf_occ(X0,X1)
      | occurrence_of(sK15(X0),tptp3)
      | ~ arboreal(X0)
      | ~ occurrence_of(X1,tptp0)
      | ~ subactivity_occurrence(X0,X1) ),
    inference(cnf_transformation,[],[f255]) ).

tcf(c_129,plain,
    ! [X0: $i,X1: $i] :
      ( leaf_occ(X0,X1)
      | next_subocc(X0,sK15(X0),tptp0)
      | ~ arboreal(X0)
      | ~ occurrence_of(X1,tptp0)
      | ~ subactivity_occurrence(X0,X1) ),
    inference(cnf_transformation,[],[f254]) ).

tcf(c_131,plain,
    ! [X0: $i,X1: $i] :
      ( leaf_occ(X0,X1)
      | next_subocc(sK15(X0),sK16(X0),tptp0)
      | ~ arboreal(X0)
      | ~ occurrence_of(X1,tptp0)
      | ~ subactivity_occurrence(X0,X1) ),
    inference(cnf_transformation,[],[f252]) ).

tcf(c_132,plain,
    ! [X0: $i,X1: $i] :
      ( leaf_occ(X0,X1)
      | occurrence_of(sK17(X0),tptp1)
      | occurrence_of(sK17(X0),tptp2)
      | ~ arboreal(X0)
      | ~ occurrence_of(X1,tptp0)
      | ~ subactivity_occurrence(X0,X1) ),
    inference(cnf_transformation,[],[f251]) ).

tcf(c_133,plain,
    ! [X0: $i,X1: $i] :
      ( leaf_occ(X0,X1)
      | next_subocc(sK16(X0),sK17(X0),tptp0)
      | ~ arboreal(X0)
      | ~ occurrence_of(X1,tptp0)
      | ~ subactivity_occurrence(X0,X1) ),
    inference(cnf_transformation,[],[f250]) ).

tcf(c_134,plain,
    ! [X0: $i,X1: $i] :
      ( leaf_occ(X0,X1)
      | leaf(sK17(X0),tptp0)
      | ~ arboreal(X0)
      | ~ occurrence_of(X1,tptp0)
      | ~ subactivity_occurrence(X0,X1) ),
    inference(cnf_transformation,[],[f249]) ).

tcf(c_136,plain,
    ~ atomic(tptp0),
    inference(cnf_transformation,[],[f257]) ).

tcf(c_147,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( ~ leaf(X1,tptp0)
      | ~ occurrence_of(X1,tptp2)
      | ~ occurrence_of(X0,tptp3)
      | ~ next_subocc(sK18,X0,tptp0)
      | ~ min_precedes(X0,X1,tptp0) ),
    inference(cnf_transformation,[],[f273]) ).

tcf(c_148,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( ~ leaf(X1,tptp0)
      | ~ occurrence_of(X1,tptp1)
      | ~ occurrence_of(X0,tptp3)
      | ~ next_subocc(sK18,X0,tptp0)
      | ~ min_precedes(X0,X1,tptp0) ),
    inference(cnf_transformation,[],[f272]) ).

tcf(c_149,negated_conjecture,
    occurrence_of(sK19,tptp0),
    inference(cnf_transformation,[],[f271]) ).

tcf(c_150,negated_conjecture,
    subactivity_occurrence(sK18,sK19),
    inference(cnf_transformation,[],[f270]) ).

tcf(c_151,negated_conjecture,
    arboreal(sK18),
    inference(cnf_transformation,[],[f269]) ).

tcf(c_152,negated_conjecture,
    ~ leaf_occ(sK18,sK19),
    inference(cnf_transformation,[],[f268]) ).

tcf(c_830,negated_conjecture,
    ! [X0_iProver_leaf_occ_2: iProver_leaf_occ_2,X1_iProver_leaf_occ_2: iProver_leaf_occ_2] :
      ( ~ leaf(X1_iProver_leaf_occ_2,tptp0)
      | ~ occurrence_of(X1_iProver_leaf_occ_2,tptp1)
      | ~ occurrence_of(X0_iProver_leaf_occ_2,tptp3)
      | ~ next_subocc(sK18,X0_iProver_leaf_occ_2,tptp0)
      | ~ min_precedes(X0_iProver_leaf_occ_2,X1_iProver_leaf_occ_2,tptp0) ),
    inference(subtyping,[status(esa)],[c_148]) ).

tcf(c_831,negated_conjecture,
    ! [X0_iProver_leaf_occ_2: iProver_leaf_occ_2,X1_iProver_leaf_occ_2: iProver_leaf_occ_2] :
      ( ~ leaf(X1_iProver_leaf_occ_2,tptp0)
      | ~ occurrence_of(X1_iProver_leaf_occ_2,tptp2)
      | ~ occurrence_of(X0_iProver_leaf_occ_2,tptp3)
      | ~ next_subocc(sK18,X0_iProver_leaf_occ_2,tptp0)
      | ~ min_precedes(X0_iProver_leaf_occ_2,X1_iProver_leaf_occ_2,tptp0) ),
    inference(subtyping,[status(esa)],[c_147]) ).

tcf(c_844,plain,
    ! [X0_iProver_leaf_occ_2: iProver_leaf_occ_2,X1_iProver_leaf_occ_2: iProver_leaf_occ_2] :
      ( leaf_occ(X0_iProver_leaf_occ_2,X1_iProver_leaf_occ_2)
      | leaf(sK17(X0_iProver_leaf_occ_2),tptp0)
      | ~ arboreal(X0_iProver_leaf_occ_2)
      | ~ occurrence_of(X1_iProver_leaf_occ_2,tptp0)
      | ~ subactivity_occurrence(X0_iProver_leaf_occ_2,X1_iProver_leaf_occ_2) ),
    inference(subtyping,[status(esa)],[c_134]) ).

tcf(c_845,plain,
    ! [X0_iProver_leaf_occ_2: iProver_leaf_occ_2,X1_iProver_leaf_occ_2: iProver_leaf_occ_2] :
      ( leaf_occ(X0_iProver_leaf_occ_2,X1_iProver_leaf_occ_2)
      | next_subocc(sK16(X0_iProver_leaf_occ_2),sK17(X0_iProver_leaf_occ_2),tptp0)
      | ~ arboreal(X0_iProver_leaf_occ_2)
      | ~ occurrence_of(X1_iProver_leaf_occ_2,tptp0)
      | ~ subactivity_occurrence(X0_iProver_leaf_occ_2,X1_iProver_leaf_occ_2) ),
    inference(subtyping,[status(esa)],[c_133]) ).

tcf(c_846,plain,
    ! [X0_iProver_leaf_occ_2: iProver_leaf_occ_2,X1_iProver_leaf_occ_2: iProver_leaf_occ_2] :
      ( leaf_occ(X0_iProver_leaf_occ_2,X1_iProver_leaf_occ_2)
      | occurrence_of(sK17(X0_iProver_leaf_occ_2),tptp1)
      | occurrence_of(sK17(X0_iProver_leaf_occ_2),tptp2)
      | ~ arboreal(X0_iProver_leaf_occ_2)
      | ~ occurrence_of(X1_iProver_leaf_occ_2,tptp0)
      | ~ subactivity_occurrence(X0_iProver_leaf_occ_2,X1_iProver_leaf_occ_2) ),
    inference(subtyping,[status(esa)],[c_132]) ).

tcf(c_847,plain,
    ! [X0_iProver_leaf_occ_2: iProver_leaf_occ_2,X1_iProver_leaf_occ_2: iProver_leaf_occ_2] :
      ( leaf_occ(X0_iProver_leaf_occ_2,X1_iProver_leaf_occ_2)
      | next_subocc(sK15(X0_iProver_leaf_occ_2),sK16(X0_iProver_leaf_occ_2),tptp0)
      | ~ arboreal(X0_iProver_leaf_occ_2)
      | ~ occurrence_of(X1_iProver_leaf_occ_2,tptp0)
      | ~ subactivity_occurrence(X0_iProver_leaf_occ_2,X1_iProver_leaf_occ_2) ),
    inference(subtyping,[status(esa)],[c_131]) ).

tcf(c_849,plain,
    ! [X0_iProver_leaf_occ_2: iProver_leaf_occ_2,X1_iProver_leaf_occ_2: iProver_leaf_occ_2] :
      ( leaf_occ(X0_iProver_leaf_occ_2,X1_iProver_leaf_occ_2)
      | next_subocc(X0_iProver_leaf_occ_2,sK15(X0_iProver_leaf_occ_2),tptp0)
      | ~ arboreal(X0_iProver_leaf_occ_2)
      | ~ occurrence_of(X1_iProver_leaf_occ_2,tptp0)
      | ~ subactivity_occurrence(X0_iProver_leaf_occ_2,X1_iProver_leaf_occ_2) ),
    inference(subtyping,[status(esa)],[c_129]) ).

tcf(c_850,plain,
    ! [X0_iProver_leaf_occ_2: iProver_leaf_occ_2,X1_iProver_leaf_occ_2: iProver_leaf_occ_2] :
      ( leaf_occ(X0_iProver_leaf_occ_2,X1_iProver_leaf_occ_2)
      | occurrence_of(sK15(X0_iProver_leaf_occ_2),tptp3)
      | ~ arboreal(X0_iProver_leaf_occ_2)
      | ~ occurrence_of(X1_iProver_leaf_occ_2,tptp0)
      | ~ subactivity_occurrence(X0_iProver_leaf_occ_2,X1_iProver_leaf_occ_2) ),
    inference(subtyping,[status(esa)],[c_128]) ).

tcf(c_854,plain,
    ! [X0_iProver_leaf_occ_2: iProver_leaf_occ_2,X0_iProver_occurrence_of_2: iProver_occurrence_of_2] :
      ( atomic(X0_iProver_occurrence_of_2)
      | leaf_occ(X0_iProver_leaf_occ_2,sK14(X0_iProver_leaf_occ_2,X0_iProver_occurrence_of_2))
      | ~ leaf(X0_iProver_leaf_occ_2,X0_iProver_occurrence_of_2) ),
    inference(subtyping,[status(esa)],[c_124]) ).

tcf(c_855,plain,
    ! [X0_iProver_leaf_occ_2: iProver_leaf_occ_2,X0_iProver_occurrence_of_2: iProver_occurrence_of_2] :
      ( atomic(X0_iProver_occurrence_of_2)
      | occurrence_of(sK14(X0_iProver_leaf_occ_2,X0_iProver_occurrence_of_2),X0_iProver_occurrence_of_2)
      | ~ leaf(X0_iProver_leaf_occ_2,X0_iProver_occurrence_of_2) ),
    inference(subtyping,[status(esa)],[c_123]) ).

tcf(c_856,plain,
    ! [X0_iProver_leaf_occ_2: iProver_leaf_occ_2,X0_iProver_occurrence_of_2: iProver_occurrence_of_2,X1_iProver_leaf_occ_2: iProver_leaf_occ_2] :
      ( arboreal(X1_iProver_leaf_occ_2)
      | ~ next_subocc(X0_iProver_leaf_occ_2,X1_iProver_leaf_occ_2,X0_iProver_occurrence_of_2) ),
    inference(subtyping,[status(esa)],[c_122]) ).

tcf(c_858,plain,
    ! [X0_iProver_leaf_occ_2: iProver_leaf_occ_2,X0_iProver_occurrence_of_2: iProver_occurrence_of_2,X1_iProver_leaf_occ_2: iProver_leaf_occ_2,X2_iProver_leaf_occ_2: iProver_leaf_occ_2] :
      ( min_precedes(X1_iProver_leaf_occ_2,X2_iProver_leaf_occ_2,X0_iProver_occurrence_of_2)
      | ( X1_iProver_leaf_occ_2 = X2_iProver_leaf_occ_2 )
      | ~ arboreal(X1_iProver_leaf_occ_2)
      | ~ leaf_occ(X2_iProver_leaf_occ_2,X0_iProver_leaf_occ_2)
      | ~ subactivity_occurrence(X1_iProver_leaf_occ_2,X0_iProver_leaf_occ_2)
      | ~ occurrence_of(X0_iProver_leaf_occ_2,X0_iProver_occurrence_of_2) ),
    inference(subtyping,[status(esa)],[c_120]) ).

tcf(c_865,plain,
    ! [X0_iProver_leaf_occ_2: iProver_leaf_occ_2,X0_iProver_occurrence_of_2: iProver_occurrence_of_2,X1_iProver_leaf_occ_2: iProver_leaf_occ_2,X2_iProver_leaf_occ_2: iProver_leaf_occ_2] :
      ( atomic(X0_iProver_occurrence_of_2)
      | ( X2_iProver_leaf_occ_2 = X1_iProver_leaf_occ_2 )
      | ~ leaf_occ(X2_iProver_leaf_occ_2,X0_iProver_leaf_occ_2)
      | ~ leaf_occ(X1_iProver_leaf_occ_2,X0_iProver_leaf_occ_2)
      | ~ occurrence_of(X0_iProver_leaf_occ_2,X0_iProver_occurrence_of_2) ),
    inference(subtyping,[status(esa)],[c_113]) ).

tcf(c_868,plain,
    ! [X0_iProver_leaf_occ_2: iProver_leaf_occ_2,X1_iProver_leaf_occ_2: iProver_leaf_occ_2] :
      ( subactivity_occurrence(X0_iProver_leaf_occ_2,X1_iProver_leaf_occ_2)
      | ~ leaf_occ(X0_iProver_leaf_occ_2,X1_iProver_leaf_occ_2) ),
    inference(subtyping,[status(esa)],[c_110]) ).

tcf(c_870,plain,
    ! [X0_iProver_leaf_occ_2: iProver_leaf_occ_2,X0_iProver_occurrence_of_2: iProver_occurrence_of_2,X1_iProver_leaf_occ_2: iProver_leaf_occ_2] :
      ( leaf_occ(X1_iProver_leaf_occ_2,X0_iProver_leaf_occ_2)
      | ~ subactivity_occurrence(X1_iProver_leaf_occ_2,X0_iProver_leaf_occ_2)
      | ~ leaf(X1_iProver_leaf_occ_2,X0_iProver_occurrence_of_2)
      | ~ occurrence_of(X0_iProver_leaf_occ_2,X0_iProver_occurrence_of_2) ),
    inference(subtyping,[status(esa)],[c_108]) ).

tcf(c_876,plain,
    ! [X0_iProver_leaf_occ_2: iProver_leaf_occ_2,X0_iProver_occurrence_of_2: iProver_occurrence_of_2,X1_iProver_leaf_occ_2: iProver_leaf_occ_2,X2_iProver_leaf_occ_2: iProver_leaf_occ_2] :
      ( subactivity_occurrence(X0_iProver_leaf_occ_2,X2_iProver_leaf_occ_2)
      | ~ subactivity_occurrence(X1_iProver_leaf_occ_2,X2_iProver_leaf_occ_2)
      | ~ occurrence_of(X2_iProver_leaf_occ_2,X0_iProver_occurrence_of_2)
      | ~ min_precedes(X0_iProver_leaf_occ_2,X1_iProver_leaf_occ_2,X0_iProver_occurrence_of_2) ),
    inference(subtyping,[status(esa)],[c_102]) ).

tcf(c_882,plain,
    ! [X0_iProver_leaf_occ_2: iProver_leaf_occ_2,X0_iProver_occurrence_of_2: iProver_occurrence_of_2,X1_iProver_leaf_occ_2: iProver_leaf_occ_2] :
      ( subactivity_occurrence(X1_iProver_leaf_occ_2,sK9(X0_iProver_occurrence_of_2,X0_iProver_leaf_occ_2,X1_iProver_leaf_occ_2))
      | ~ min_precedes(X0_iProver_leaf_occ_2,X1_iProver_leaf_occ_2,X0_iProver_occurrence_of_2) ),
    inference(subtyping,[status(esa)],[c_96]) ).

tcf(c_883,plain,
    ! [X0_iProver_leaf_occ_2: iProver_leaf_occ_2,X0_iProver_occurrence_of_2: iProver_occurrence_of_2,X1_iProver_leaf_occ_2: iProver_leaf_occ_2] :
      ( subactivity_occurrence(X0_iProver_leaf_occ_2,sK9(X0_iProver_occurrence_of_2,X0_iProver_leaf_occ_2,X1_iProver_leaf_occ_2))
      | ~ min_precedes(X0_iProver_leaf_occ_2,X1_iProver_leaf_occ_2,X0_iProver_occurrence_of_2) ),
    inference(subtyping,[status(esa)],[c_95]) ).

tcf(c_884,plain,
    ! [X0_iProver_leaf_occ_2: iProver_leaf_occ_2,X0_iProver_occurrence_of_2: iProver_occurrence_of_2,X1_iProver_leaf_occ_2: iProver_leaf_occ_2] :
      ( occurrence_of(sK9(X0_iProver_occurrence_of_2,X0_iProver_leaf_occ_2,X1_iProver_leaf_occ_2),X0_iProver_occurrence_of_2)
      | ~ min_precedes(X0_iProver_leaf_occ_2,X1_iProver_leaf_occ_2,X0_iProver_occurrence_of_2) ),
    inference(subtyping,[status(esa)],[c_94]) ).

tcf(c_892,plain,
    ! [X0_iProver_leaf_occ_2: iProver_leaf_occ_2,X0_iProver_occurrence_of_2: iProver_occurrence_of_2,X1_iProver_leaf_occ_2: iProver_leaf_occ_2] :
      ( min_precedes(X0_iProver_leaf_occ_2,X1_iProver_leaf_occ_2,X0_iProver_occurrence_of_2)
      | ~ next_subocc(X0_iProver_leaf_occ_2,X1_iProver_leaf_occ_2,X0_iProver_occurrence_of_2) ),
    inference(subtyping,[status(esa)],[c_86]) ).

tcf(c_895,plain,
    ! [X0_iProver_leaf_occ_2: iProver_leaf_occ_2,X0_iProver_occurrence_of_2: iProver_occurrence_of_2,X1_iProver_leaf_occ_2: iProver_leaf_occ_2] :
      ( ~ leaf(X0_iProver_leaf_occ_2,X0_iProver_occurrence_of_2)
      | ~ min_precedes(X0_iProver_leaf_occ_2,X1_iProver_leaf_occ_2,X0_iProver_occurrence_of_2) ),
    inference(subtyping,[status(esa)],[c_83]) ).

tcf(c_932,plain,
    ! [X0_iProver_occurrence_of_2: iProver_occurrence_of_2] : X0_iProver_occurrence_of_2 = X0_iProver_occurrence_of_2,
    theory(equality) ).

tcf(c_943,plain,
    ! [X0_iProver_leaf_occ_2: iProver_leaf_occ_2,X0_iProver_occurrence_of_2: iProver_occurrence_of_2,X1_iProver_leaf_occ_2: iProver_leaf_occ_2,X1_iProver_occurrence_of_2: iProver_occurrence_of_2] :
      ( leaf(X0_iProver_leaf_occ_2,X0_iProver_occurrence_of_2)
      | ~ leaf(X1_iProver_leaf_occ_2,X1_iProver_occurrence_of_2)
      | ( X0_iProver_occurrence_of_2 != X1_iProver_occurrence_of_2 )
      | ( X0_iProver_leaf_occ_2 != X1_iProver_leaf_occ_2 ) ),
    theory(equality) ).

tcf(c_949,plain,
    tptp0 = tptp0,
    inference(instantiation,[status(thm)],[c_932]) ).

tcf(c_1734,plain,
    ! [X0_iProver_leaf_occ_2: iProver_leaf_occ_2] :
      ( leaf_occ(X0_iProver_leaf_occ_2,sK19)
      | next_subocc(sK15(X0_iProver_leaf_occ_2),sK16(X0_iProver_leaf_occ_2),tptp0)
      | ~ arboreal(X0_iProver_leaf_occ_2)
      | ~ occurrence_of(sK19,tptp0)
      | ~ subactivity_occurrence(X0_iProver_leaf_occ_2,sK19) ),
    inference(instantiation,[status(thm)],[c_847]) ).

tcf(c_1736,plain,
    ! [X0_iProver_leaf_occ_2: iProver_leaf_occ_2] :
      ( leaf_occ(X0_iProver_leaf_occ_2,sK19)
      | next_subocc(sK16(X0_iProver_leaf_occ_2),sK17(X0_iProver_leaf_occ_2),tptp0)
      | ~ arboreal(X0_iProver_leaf_occ_2)
      | ~ occurrence_of(sK19,tptp0)
      | ~ subactivity_occurrence(X0_iProver_leaf_occ_2,sK19) ),
    inference(instantiation,[status(thm)],[c_845]) ).

tcf(c_1737,plain,
    ! [X0_iProver_leaf_occ_2: iProver_leaf_occ_2] :
      ( leaf_occ(X0_iProver_leaf_occ_2,sK19)
      | leaf(sK17(X0_iProver_leaf_occ_2),tptp0)
      | ~ arboreal(X0_iProver_leaf_occ_2)
      | ~ occurrence_of(sK19,tptp0)
      | ~ subactivity_occurrence(X0_iProver_leaf_occ_2,sK19) ),
    inference(instantiation,[status(thm)],[c_844]) ).

tcf(c_1738,plain,
    ( leaf_occ(sK18,sK19)
    | leaf(sK17(sK18),tptp0)
    | ~ arboreal(sK18)
    | ~ subactivity_occurrence(sK18,sK19)
    | ~ occurrence_of(sK19,tptp0) ),
    inference(instantiation,[status(thm)],[c_1737]) ).

tcf(c_1739,plain,
    ( leaf_occ(sK18,sK19)
    | next_subocc(sK16(sK18),sK17(sK18),tptp0)
    | ~ arboreal(sK18)
    | ~ subactivity_occurrence(sK18,sK19)
    | ~ occurrence_of(sK19,tptp0) ),
    inference(instantiation,[status(thm)],[c_1736]) ).

tcf(c_1741,plain,
    ( leaf_occ(sK18,sK19)
    | next_subocc(sK15(sK18),sK16(sK18),tptp0)
    | ~ arboreal(sK18)
    | ~ subactivity_occurrence(sK18,sK19)
    | ~ occurrence_of(sK19,tptp0) ),
    inference(instantiation,[status(thm)],[c_1734]) ).

tcf(c_1743,plain,
    ! [X0_iProver_leaf_occ_2: iProver_leaf_occ_2] :
      ( leaf_occ(X0_iProver_leaf_occ_2,sK19)
      | occurrence_of(sK15(X0_iProver_leaf_occ_2),tptp3)
      | ~ arboreal(X0_iProver_leaf_occ_2)
      | ~ occurrence_of(sK19,tptp0)
      | ~ subactivity_occurrence(X0_iProver_leaf_occ_2,sK19) ),
    inference(instantiation,[status(thm)],[c_850]) ).

tcf(c_1744,plain,
    ( leaf_occ(sK18,sK19)
    | occurrence_of(sK15(sK18),tptp3)
    | ~ arboreal(sK18)
    | ~ subactivity_occurrence(sK18,sK19)
    | ~ occurrence_of(sK19,tptp0) ),
    inference(instantiation,[status(thm)],[c_1743]) ).

tcf(c_1746,plain,
    ! [X0_iProver_occurrence_of_2: iProver_occurrence_of_2] :
      ( leaf_occ(sK18,sK19)
      | ~ subactivity_occurrence(sK18,sK19)
      | ~ leaf(sK18,X0_iProver_occurrence_of_2)
      | ~ occurrence_of(sK19,X0_iProver_occurrence_of_2) ),
    inference(instantiation,[status(thm)],[c_870]) ).

tcf(c_1747,plain,
    ( leaf_occ(sK18,sK19)
    | ~ subactivity_occurrence(sK18,sK19)
    | ~ leaf(sK18,tptp0)
    | ~ occurrence_of(sK19,tptp0) ),
    inference(instantiation,[status(thm)],[c_1746]) ).

tcf(c_1749,plain,
    ! [X0_iProver_leaf_occ_2: iProver_leaf_occ_2] :
      ( min_precedes(sK16(X0_iProver_leaf_occ_2),sK17(X0_iProver_leaf_occ_2),tptp0)
      | ~ next_subocc(sK16(X0_iProver_leaf_occ_2),sK17(X0_iProver_leaf_occ_2),tptp0) ),
    inference(instantiation,[status(thm)],[c_892]) ).

tcf(c_1750,plain,
    ( min_precedes(sK16(sK18),sK17(sK18),tptp0)
    | ~ next_subocc(sK16(sK18),sK17(sK18),tptp0) ),
    inference(instantiation,[status(thm)],[c_1749]) ).

tcf(c_1751,plain,
    ! [X0_iProver_leaf_occ_2: iProver_leaf_occ_2] :
      ( min_precedes(sK15(X0_iProver_leaf_occ_2),sK16(X0_iProver_leaf_occ_2),tptp0)
      | ~ next_subocc(sK15(X0_iProver_leaf_occ_2),sK16(X0_iProver_leaf_occ_2),tptp0) ),
    inference(instantiation,[status(thm)],[c_892]) ).

tcf(c_1752,plain,
    ( min_precedes(sK15(sK18),sK16(sK18),tptp0)
    | ~ next_subocc(sK15(sK18),sK16(sK18),tptp0) ),
    inference(instantiation,[status(thm)],[c_1751]) ).

tcf(c_1766,plain,
    ! [X0_iProver_leaf_occ_2: iProver_leaf_occ_2] :
      ( leaf_occ(X0_iProver_leaf_occ_2,sK19)
      | next_subocc(X0_iProver_leaf_occ_2,sK15(X0_iProver_leaf_occ_2),tptp0)
      | ~ arboreal(X0_iProver_leaf_occ_2)
      | ~ occurrence_of(sK19,tptp0)
      | ~ subactivity_occurrence(X0_iProver_leaf_occ_2,sK19) ),
    inference(instantiation,[status(thm)],[c_849]) ).

tcf(c_1767,plain,
    ( leaf_occ(sK18,sK19)
    | next_subocc(sK18,sK15(sK18),tptp0)
    | ~ arboreal(sK18)
    | ~ subactivity_occurrence(sK18,sK19)
    | ~ occurrence_of(sK19,tptp0) ),
    inference(instantiation,[status(thm)],[c_1766]) ).

tcf(c_1776,plain,
    ! [X0_iProver_leaf_occ_2: iProver_leaf_occ_2] :
      ( atomic(tptp0)
      | leaf_occ(sK17(X0_iProver_leaf_occ_2),sK14(sK17(X0_iProver_leaf_occ_2),tptp0))
      | ~ leaf(sK17(X0_iProver_leaf_occ_2),tptp0) ),
    inference(instantiation,[status(thm)],[c_854]) ).

tcf(c_1777,plain,
    ( atomic(tptp0)
    | leaf_occ(sK17(sK18),sK14(sK17(sK18),tptp0))
    | ~ leaf(sK17(sK18),tptp0) ),
    inference(instantiation,[status(thm)],[c_1776]) ).

tcf(c_1778,plain,
    ! [X0_iProver_leaf_occ_2: iProver_leaf_occ_2] :
      ( atomic(tptp0)
      | occurrence_of(sK14(sK17(X0_iProver_leaf_occ_2),tptp0),tptp0)
      | ~ leaf(sK17(X0_iProver_leaf_occ_2),tptp0) ),
    inference(instantiation,[status(thm)],[c_855]) ).

tcf(c_1779,plain,
    ( atomic(tptp0)
    | occurrence_of(sK14(sK17(sK18),tptp0),tptp0)
    | ~ leaf(sK17(sK18),tptp0) ),
    inference(instantiation,[status(thm)],[c_1778]) ).

tcf(c_1855,plain,
    ! [X0_iProver_leaf_occ_2: iProver_leaf_occ_2,X0_iProver_occurrence_of_2: iProver_occurrence_of_2,X1_iProver_leaf_occ_2: iProver_leaf_occ_2] :
      ( leaf(X0_iProver_leaf_occ_2,X0_iProver_occurrence_of_2)
      | ~ leaf(sK17(X1_iProver_leaf_occ_2),tptp0)
      | ( X0_iProver_occurrence_of_2 != tptp0 )
      | ( X0_iProver_leaf_occ_2 != sK17(X1_iProver_leaf_occ_2) ) ),
    inference(instantiation,[status(thm)],[c_943]) ).

tcf(c_1856,plain,
    ( leaf(sK18,tptp0)
    | ~ leaf(sK17(sK18),tptp0)
    | ( sK18 != sK17(sK18) )
    | ( tptp0 != tptp0 ) ),
    inference(instantiation,[status(thm)],[c_1855]) ).

tcf(c_1878,plain,
    ! [X0_iProver_leaf_occ_2: iProver_leaf_occ_2] :
      ( occurrence_of(sK9(tptp0,sK16(X0_iProver_leaf_occ_2),sK17(X0_iProver_leaf_occ_2)),tptp0)
      | ~ min_precedes(sK16(X0_iProver_leaf_occ_2),sK17(X0_iProver_leaf_occ_2),tptp0) ),
    inference(instantiation,[status(thm)],[c_884]) ).

tcf(c_1879,plain,
    ! [X0_iProver_leaf_occ_2: iProver_leaf_occ_2] :
      ( subactivity_occurrence(sK16(X0_iProver_leaf_occ_2),sK9(tptp0,sK16(X0_iProver_leaf_occ_2),sK17(X0_iProver_leaf_occ_2)))
      | ~ min_precedes(sK16(X0_iProver_leaf_occ_2),sK17(X0_iProver_leaf_occ_2),tptp0) ),
    inference(instantiation,[status(thm)],[c_883]) ).

tcf(c_1880,plain,
    ! [X0_iProver_leaf_occ_2: iProver_leaf_occ_2] :
      ( subactivity_occurrence(sK17(X0_iProver_leaf_occ_2),sK9(tptp0,sK16(X0_iProver_leaf_occ_2),sK17(X0_iProver_leaf_occ_2)))
      | ~ min_precedes(sK16(X0_iProver_leaf_occ_2),sK17(X0_iProver_leaf_occ_2),tptp0) ),
    inference(instantiation,[status(thm)],[c_882]) ).

tcf(c_1887,plain,
    ! [X0_iProver_leaf_occ_2: iProver_leaf_occ_2,X1_iProver_leaf_occ_2: iProver_leaf_occ_2] :
      ( subactivity_occurrence(sK16(X0_iProver_leaf_occ_2),X1_iProver_leaf_occ_2)
      | ~ occurrence_of(X1_iProver_leaf_occ_2,tptp0)
      | ~ subactivity_occurrence(sK17(X0_iProver_leaf_occ_2),X1_iProver_leaf_occ_2)
      | ~ min_precedes(sK16(X0_iProver_leaf_occ_2),sK17(X0_iProver_leaf_occ_2),tptp0) ),
    inference(instantiation,[status(thm)],[c_876]) ).

tcf(c_1894,plain,
    ( subactivity_occurrence(sK17(sK18),sK9(tptp0,sK16(sK18),sK17(sK18)))
    | ~ min_precedes(sK16(sK18),sK17(sK18),tptp0) ),
    inference(instantiation,[status(thm)],[c_1880]) ).

tcf(c_1895,plain,
    ( subactivity_occurrence(sK16(sK18),sK9(tptp0,sK16(sK18),sK17(sK18)))
    | ~ min_precedes(sK16(sK18),sK17(sK18),tptp0) ),
    inference(instantiation,[status(thm)],[c_1879]) ).

tcf(c_1896,plain,
    ( occurrence_of(sK9(tptp0,sK16(sK18),sK17(sK18)),tptp0)
    | ~ min_precedes(sK16(sK18),sK17(sK18),tptp0) ),
    inference(instantiation,[status(thm)],[c_1878]) ).

tcf(c_1931,plain,
    ! [X0_iProver_leaf_occ_2: iProver_leaf_occ_2] :
      ( ~ leaf(sK15(X0_iProver_leaf_occ_2),tptp0)
      | ~ min_precedes(sK15(X0_iProver_leaf_occ_2),sK16(X0_iProver_leaf_occ_2),tptp0) ),
    inference(instantiation,[status(thm)],[c_895]) ).

tcf(c_1934,plain,
    ( ~ leaf(sK15(sK18),tptp0)
    | ~ min_precedes(sK15(sK18),sK16(sK18),tptp0) ),
    inference(instantiation,[status(thm)],[c_1931]) ).

tcf(c_1965,plain,
    ! [X0_iProver_leaf_occ_2: iProver_leaf_occ_2] :
      ( min_precedes(X0_iProver_leaf_occ_2,sK15(X0_iProver_leaf_occ_2),tptp0)
      | ~ next_subocc(X0_iProver_leaf_occ_2,sK15(X0_iProver_leaf_occ_2),tptp0) ),
    inference(instantiation,[status(thm)],[c_892]) ).

tcf(c_1966,plain,
    ( min_precedes(sK18,sK15(sK18),tptp0)
    | ~ next_subocc(sK18,sK15(sK18),tptp0) ),
    inference(instantiation,[status(thm)],[c_1965]) ).

tcf(c_2067,plain,
    ! [X0_iProver_leaf_occ_2: iProver_leaf_occ_2] :
      ( subactivity_occurrence(sK17(X0_iProver_leaf_occ_2),sK14(sK17(X0_iProver_leaf_occ_2),tptp0))
      | ~ leaf_occ(sK17(X0_iProver_leaf_occ_2),sK14(sK17(X0_iProver_leaf_occ_2),tptp0)) ),
    inference(instantiation,[status(thm)],[c_868]) ).

tcf(c_2068,plain,
    ( subactivity_occurrence(sK17(sK18),sK14(sK17(sK18),tptp0))
    | ~ leaf_occ(sK17(sK18),sK14(sK17(sK18),tptp0)) ),
    inference(instantiation,[status(thm)],[c_2067]) ).

tcf(c_2257,plain,
    ! [X0_iProver_leaf_occ_2: iProver_leaf_occ_2,X0_iProver_occurrence_of_2: iProver_occurrence_of_2,X1_iProver_leaf_occ_2: iProver_leaf_occ_2,X2_iProver_leaf_occ_2: iProver_leaf_occ_2] :
      ( atomic(X0_iProver_occurrence_of_2)
      | ( X2_iProver_leaf_occ_2 = sK17(X0_iProver_leaf_occ_2) )
      | ~ leaf_occ(X2_iProver_leaf_occ_2,X1_iProver_leaf_occ_2)
      | ~ occurrence_of(X1_iProver_leaf_occ_2,X0_iProver_occurrence_of_2)
      | ~ leaf_occ(sK17(X0_iProver_leaf_occ_2),X1_iProver_leaf_occ_2) ),
    inference(instantiation,[status(thm)],[c_865]) ).

tcf(c_2372,plain,
    ! [X0_iProver_leaf_occ_2: iProver_leaf_occ_2] :
      ( subactivity_occurrence(sK16(X0_iProver_leaf_occ_2),sK14(sK17(X0_iProver_leaf_occ_2),tptp0))
      | ~ occurrence_of(sK14(sK17(X0_iProver_leaf_occ_2),tptp0),tptp0)
      | ~ min_precedes(sK16(X0_iProver_leaf_occ_2),sK17(X0_iProver_leaf_occ_2),tptp0)
      | ~ subactivity_occurrence(sK17(X0_iProver_leaf_occ_2),sK14(sK17(X0_iProver_leaf_occ_2),tptp0)) ),
    inference(instantiation,[status(thm)],[c_1887]) ).

tcf(c_2373,plain,
    ( subactivity_occurrence(sK16(sK18),sK14(sK17(sK18),tptp0))
    | ~ min_precedes(sK16(sK18),sK17(sK18),tptp0)
    | ~ occurrence_of(sK14(sK17(sK18),tptp0),tptp0)
    | ~ subactivity_occurrence(sK17(sK18),sK14(sK17(sK18),tptp0)) ),
    inference(instantiation,[status(thm)],[c_2372]) ).

tcf(c_2423,plain,
    ! [X0_iProver_leaf_occ_2: iProver_leaf_occ_2,X0_iProver_occurrence_of_2: iProver_occurrence_of_2,X1_iProver_leaf_occ_2: iProver_leaf_occ_2] :
      ( atomic(X0_iProver_occurrence_of_2)
      | ( X1_iProver_leaf_occ_2 = sK17(X0_iProver_leaf_occ_2) )
      | ~ leaf_occ(X1_iProver_leaf_occ_2,sK14(sK17(X0_iProver_leaf_occ_2),tptp0))
      | ~ occurrence_of(sK14(sK17(X0_iProver_leaf_occ_2),tptp0),X0_iProver_occurrence_of_2)
      | ~ leaf_occ(sK17(X0_iProver_leaf_occ_2),sK14(sK17(X0_iProver_leaf_occ_2),tptp0)) ),
    inference(instantiation,[status(thm)],[c_2257]) ).

tcf(c_2424,plain,
    ( atomic(tptp0)
    | ( sK18 = sK17(sK18) )
    | ~ leaf_occ(sK18,sK14(sK17(sK18),tptp0))
    | ~ occurrence_of(sK14(sK17(sK18),tptp0),tptp0)
    | ~ leaf_occ(sK17(sK18),sK14(sK17(sK18),tptp0)) ),
    inference(instantiation,[status(thm)],[c_2423]) ).

tcf(c_2704,plain,
    ! [X0_iProver_leaf_occ_2: iProver_leaf_occ_2,X1_iProver_leaf_occ_2: iProver_leaf_occ_2] :
      ( leaf_occ(sK17(X0_iProver_leaf_occ_2),X1_iProver_leaf_occ_2)
      | ~ occurrence_of(X1_iProver_leaf_occ_2,tptp0)
      | ~ leaf(sK17(X0_iProver_leaf_occ_2),tptp0)
      | ~ subactivity_occurrence(sK17(X0_iProver_leaf_occ_2),X1_iProver_leaf_occ_2) ),
    inference(instantiation,[status(thm)],[c_870]) ).

tcf(c_2759,plain,
    ! [X0_iProver_leaf_occ_2: iProver_leaf_occ_2,X0_iProver_occurrence_of_2: iProver_occurrence_of_2,X1_iProver_leaf_occ_2: iProver_leaf_occ_2] :
      ( leaf(X0_iProver_leaf_occ_2,X0_iProver_occurrence_of_2)
      | ~ leaf(sK17(X1_iProver_leaf_occ_2),tptp0)
      | ( X0_iProver_occurrence_of_2 != tptp0 )
      | ( X0_iProver_leaf_occ_2 != sK17(X1_iProver_leaf_occ_2) ) ),
    inference(instantiation,[status(thm)],[c_943]) ).

tcf(c_2762,plain,
    ! [X0_iProver_leaf_occ_2: iProver_leaf_occ_2,X1_iProver_leaf_occ_2: iProver_leaf_occ_2] :
      ( ~ leaf(X1_iProver_leaf_occ_2,tptp0)
      | ~ occurrence_of(X1_iProver_leaf_occ_2,tptp2)
      | ~ occurrence_of(sK15(X0_iProver_leaf_occ_2),tptp3)
      | ~ next_subocc(sK18,sK15(X0_iProver_leaf_occ_2),tptp0)
      | ~ min_precedes(sK15(X0_iProver_leaf_occ_2),X1_iProver_leaf_occ_2,tptp0) ),
    inference(instantiation,[status(thm)],[c_831]) ).

tcf(c_2934,plain,
    ! [X0_iProver_leaf_occ_2: iProver_leaf_occ_2,X0_iProver_occurrence_of_2: iProver_occurrence_of_2,X1_iProver_leaf_occ_2: iProver_leaf_occ_2,X2_iProver_leaf_occ_2: iProver_leaf_occ_2] :
      ( min_precedes(X2_iProver_leaf_occ_2,sK17(X0_iProver_leaf_occ_2),X0_iProver_occurrence_of_2)
      | ( X2_iProver_leaf_occ_2 = sK17(X0_iProver_leaf_occ_2) )
      | ~ arboreal(X2_iProver_leaf_occ_2)
      | ~ subactivity_occurrence(X2_iProver_leaf_occ_2,X1_iProver_leaf_occ_2)
      | ~ occurrence_of(X1_iProver_leaf_occ_2,X0_iProver_occurrence_of_2)
      | ~ leaf_occ(sK17(X0_iProver_leaf_occ_2),X1_iProver_leaf_occ_2) ),
    inference(instantiation,[status(thm)],[c_858]) ).

tcf(c_3087,plain,
    ! [X0_iProver_leaf_occ_2: iProver_leaf_occ_2,X0_iProver_occurrence_of_2: iProver_occurrence_of_2,X1_iProver_leaf_occ_2: iProver_leaf_occ_2,X2_iProver_leaf_occ_2: iProver_leaf_occ_2] :
      ( subactivity_occurrence(X2_iProver_leaf_occ_2,sK14(sK17(X0_iProver_leaf_occ_2),tptp0))
      | ~ min_precedes(X2_iProver_leaf_occ_2,X1_iProver_leaf_occ_2,X0_iProver_occurrence_of_2)
      | ~ subactivity_occurrence(X1_iProver_leaf_occ_2,sK14(sK17(X0_iProver_leaf_occ_2),tptp0))
      | ~ occurrence_of(sK14(sK17(X0_iProver_leaf_occ_2),tptp0),X0_iProver_occurrence_of_2) ),
    inference(instantiation,[status(thm)],[c_876]) ).

tcf(c_3355,plain,
    ! [X0_iProver_leaf_occ_2: iProver_leaf_occ_2,X1_iProver_leaf_occ_2: iProver_leaf_occ_2] :
      ( leaf_occ(sK17(X0_iProver_leaf_occ_2),sK9(tptp0,sK16(X1_iProver_leaf_occ_2),sK17(X1_iProver_leaf_occ_2)))
      | ~ leaf(sK17(X0_iProver_leaf_occ_2),tptp0)
      | ~ occurrence_of(sK9(tptp0,sK16(X1_iProver_leaf_occ_2),sK17(X1_iProver_leaf_occ_2)),tptp0)
      | ~ subactivity_occurrence(sK17(X0_iProver_leaf_occ_2),sK9(tptp0,sK16(X1_iProver_leaf_occ_2),sK17(X1_iProver_leaf_occ_2))) ),
    inference(instantiation,[status(thm)],[c_2704]) ).

tcf(c_3360,plain,
    ( leaf_occ(sK17(sK18),sK9(tptp0,sK16(sK18),sK17(sK18)))
    | ~ leaf(sK17(sK18),tptp0)
    | ~ occurrence_of(sK9(tptp0,sK16(sK18),sK17(sK18)),tptp0)
    | ~ subactivity_occurrence(sK17(sK18),sK9(tptp0,sK16(sK18),sK17(sK18))) ),
    inference(instantiation,[status(thm)],[c_3355]) ).

tcf(c_4041,plain,
    ! [X0_iProver_leaf_occ_2: iProver_leaf_occ_2,X1_iProver_leaf_occ_2: iProver_leaf_occ_2] :
      ( subactivity_occurrence(sK15(X0_iProver_leaf_occ_2),sK14(sK17(X1_iProver_leaf_occ_2),tptp0))
      | ~ occurrence_of(sK14(sK17(X1_iProver_leaf_occ_2),tptp0),tptp0)
      | ~ min_precedes(sK15(X0_iProver_leaf_occ_2),sK16(X0_iProver_leaf_occ_2),tptp0)
      | ~ subactivity_occurrence(sK16(X0_iProver_leaf_occ_2),sK14(sK17(X1_iProver_leaf_occ_2),tptp0)) ),
    inference(instantiation,[status(thm)],[c_3087]) ).

tcf(c_4042,plain,
    ( subactivity_occurrence(sK15(sK18),sK14(sK17(sK18),tptp0))
    | ~ min_precedes(sK15(sK18),sK16(sK18),tptp0)
    | ~ occurrence_of(sK14(sK17(sK18),tptp0),tptp0)
    | ~ subactivity_occurrence(sK16(sK18),sK14(sK17(sK18),tptp0)) ),
    inference(instantiation,[status(thm)],[c_4041]) ).

tcf(c_4049,plain,
    ! [X0_iProver_leaf_occ_2: iProver_leaf_occ_2,X1_iProver_leaf_occ_2: iProver_leaf_occ_2] :
      ( subactivity_occurrence(X0_iProver_leaf_occ_2,sK14(sK17(X1_iProver_leaf_occ_2),tptp0))
      | ~ min_precedes(X0_iProver_leaf_occ_2,sK15(X0_iProver_leaf_occ_2),tptp0)
      | ~ occurrence_of(sK14(sK17(X1_iProver_leaf_occ_2),tptp0),tptp0)
      | ~ subactivity_occurrence(sK15(X0_iProver_leaf_occ_2),sK14(sK17(X1_iProver_leaf_occ_2),tptp0)) ),
    inference(instantiation,[status(thm)],[c_3087]) ).

tcf(c_4050,plain,
    ( subactivity_occurrence(sK18,sK14(sK17(sK18),tptp0))
    | ~ min_precedes(sK18,sK15(sK18),tptp0)
    | ~ occurrence_of(sK14(sK17(sK18),tptp0),tptp0)
    | ~ subactivity_occurrence(sK15(sK18),sK14(sK17(sK18),tptp0)) ),
    inference(instantiation,[status(thm)],[c_4049]) ).

tcf(c_4404,plain,
    ! [X0_iProver_leaf_occ_2: iProver_leaf_occ_2,X0_iProver_occurrence_of_2: iProver_occurrence_of_2,X1_iProver_leaf_occ_2: iProver_leaf_occ_2] :
      ( arboreal(sK15(X1_iProver_leaf_occ_2))
      | ~ next_subocc(X0_iProver_leaf_occ_2,sK15(X1_iProver_leaf_occ_2),X0_iProver_occurrence_of_2) ),
    inference(instantiation,[status(thm)],[c_856]) ).

tcf(c_4405,plain,
    ( arboreal(sK15(sK18))
    | ~ next_subocc(sK18,sK15(sK18),tptp0) ),
    inference(instantiation,[status(thm)],[c_4404]) ).

tcf(c_4494,plain,
    ! [X0_iProver_leaf_occ_2: iProver_leaf_occ_2,X0_iProver_occurrence_of_2: iProver_occurrence_of_2,X1_iProver_leaf_occ_2: iProver_leaf_occ_2,X2_iProver_leaf_occ_2: iProver_leaf_occ_2] :
      ( min_precedes(X2_iProver_leaf_occ_2,sK17(X0_iProver_leaf_occ_2),X0_iProver_occurrence_of_2)
      | ( X2_iProver_leaf_occ_2 = sK17(X0_iProver_leaf_occ_2) )
      | ~ arboreal(X2_iProver_leaf_occ_2)
      | ~ subactivity_occurrence(X2_iProver_leaf_occ_2,sK9(tptp0,sK16(X1_iProver_leaf_occ_2),sK17(X1_iProver_leaf_occ_2)))
      | ~ occurrence_of(sK9(tptp0,sK16(X1_iProver_leaf_occ_2),sK17(X1_iProver_leaf_occ_2)),X0_iProver_occurrence_of_2)
      | ~ leaf_occ(sK17(X0_iProver_leaf_occ_2),sK9(tptp0,sK16(X1_iProver_leaf_occ_2),sK17(X1_iProver_leaf_occ_2))) ),
    inference(instantiation,[status(thm)],[c_2934]) ).

tcf(c_4511,plain,
    ! [X0_iProver_leaf_occ_2: iProver_leaf_occ_2,X0_iProver_occurrence_of_2: iProver_occurrence_of_2,X1_iProver_leaf_occ_2: iProver_leaf_occ_2,X2_iProver_leaf_occ_2: iProver_leaf_occ_2] :
      ( subactivity_occurrence(X2_iProver_leaf_occ_2,sK9(tptp0,sK16(X0_iProver_leaf_occ_2),sK17(X0_iProver_leaf_occ_2)))
      | ~ min_precedes(X2_iProver_leaf_occ_2,X1_iProver_leaf_occ_2,X0_iProver_occurrence_of_2)
      | ~ subactivity_occurrence(X1_iProver_leaf_occ_2,sK9(tptp0,sK16(X0_iProver_leaf_occ_2),sK17(X0_iProver_leaf_occ_2)))
      | ~ occurrence_of(sK9(tptp0,sK16(X0_iProver_leaf_occ_2),sK17(X0_iProver_leaf_occ_2)),X0_iProver_occurrence_of_2) ),
    inference(instantiation,[status(thm)],[c_876]) ).

tcf(c_7242,plain,
    ! [X0_iProver_leaf_occ_2: iProver_leaf_occ_2,X1_iProver_leaf_occ_2: iProver_leaf_occ_2] :
      ( ~ leaf(sK17(X1_iProver_leaf_occ_2),tptp0)
      | ~ occurrence_of(sK17(X1_iProver_leaf_occ_2),tptp2)
      | ~ occurrence_of(sK15(X0_iProver_leaf_occ_2),tptp3)
      | ~ next_subocc(sK18,sK15(X0_iProver_leaf_occ_2),tptp0)
      | ~ min_precedes(sK15(X0_iProver_leaf_occ_2),sK17(X1_iProver_leaf_occ_2),tptp0) ),
    inference(instantiation,[status(thm)],[c_2762]) ).

tcf(c_7244,plain,
    ( ~ leaf(sK17(sK18),tptp0)
    | ~ occurrence_of(sK17(sK18),tptp2)
    | ~ occurrence_of(sK15(sK18),tptp3)
    | ~ next_subocc(sK18,sK15(sK18),tptp0)
    | ~ min_precedes(sK15(sK18),sK17(sK18),tptp0) ),
    inference(instantiation,[status(thm)],[c_7242]) ).

tcf(c_7692,plain,
    ! [X0_iProver_leaf_occ_2: iProver_leaf_occ_2,X1_iProver_leaf_occ_2: iProver_leaf_occ_2] :
      ( occurrence_of(sK17(X0_iProver_leaf_occ_2),tptp1)
      | occurrence_of(sK17(X0_iProver_leaf_occ_2),tptp2)
      | leaf_occ(X0_iProver_leaf_occ_2,sK14(sK17(X1_iProver_leaf_occ_2),tptp0))
      | ~ arboreal(X0_iProver_leaf_occ_2)
      | ~ occurrence_of(sK14(sK17(X1_iProver_leaf_occ_2),tptp0),tptp0)
      | ~ subactivity_occurrence(X0_iProver_leaf_occ_2,sK14(sK17(X1_iProver_leaf_occ_2),tptp0)) ),
    inference(instantiation,[status(thm)],[c_846]) ).

tcf(c_7693,plain,
    ( occurrence_of(sK17(sK18),tptp1)
    | occurrence_of(sK17(sK18),tptp2)
    | leaf_occ(sK18,sK14(sK17(sK18),tptp0))
    | ~ arboreal(sK18)
    | ~ subactivity_occurrence(sK18,sK14(sK17(sK18),tptp0))
    | ~ occurrence_of(sK14(sK17(sK18),tptp0),tptp0) ),
    inference(instantiation,[status(thm)],[c_7692]) ).

tcf(c_12382,plain,
    ! [X0_iProver_leaf_occ_2: iProver_leaf_occ_2,X1_iProver_leaf_occ_2: iProver_leaf_occ_2] :
      ( subactivity_occurrence(sK15(X0_iProver_leaf_occ_2),sK9(tptp0,sK16(X1_iProver_leaf_occ_2),sK17(X1_iProver_leaf_occ_2)))
      | ~ min_precedes(sK15(X0_iProver_leaf_occ_2),sK16(X0_iProver_leaf_occ_2),tptp0)
      | ~ occurrence_of(sK9(tptp0,sK16(X1_iProver_leaf_occ_2),sK17(X1_iProver_leaf_occ_2)),tptp0)
      | ~ subactivity_occurrence(sK16(X0_iProver_leaf_occ_2),sK9(tptp0,sK16(X1_iProver_leaf_occ_2),sK17(X1_iProver_leaf_occ_2))) ),
    inference(instantiation,[status(thm)],[c_4511]) ).

tcf(c_12383,plain,
    ( subactivity_occurrence(sK15(sK18),sK9(tptp0,sK16(sK18),sK17(sK18)))
    | ~ min_precedes(sK15(sK18),sK16(sK18),tptp0)
    | ~ occurrence_of(sK9(tptp0,sK16(sK18),sK17(sK18)),tptp0)
    | ~ subactivity_occurrence(sK16(sK18),sK9(tptp0,sK16(sK18),sK17(sK18))) ),
    inference(instantiation,[status(thm)],[c_12382]) ).

tcf(c_18428,plain,
    ! [X0_iProver_leaf_occ_2: iProver_leaf_occ_2,X0_iProver_occurrence_of_2: iProver_occurrence_of_2,X1_iProver_leaf_occ_2: iProver_leaf_occ_2,X2_iProver_leaf_occ_2: iProver_leaf_occ_2] :
      ( min_precedes(sK15(X0_iProver_leaf_occ_2),sK17(X2_iProver_leaf_occ_2),X0_iProver_occurrence_of_2)
      | ( sK15(X0_iProver_leaf_occ_2) = sK17(X2_iProver_leaf_occ_2) )
      | ~ arboreal(sK15(X0_iProver_leaf_occ_2))
      | ~ occurrence_of(sK9(tptp0,sK16(X1_iProver_leaf_occ_2),sK17(X1_iProver_leaf_occ_2)),X0_iProver_occurrence_of_2)
      | ~ leaf_occ(sK17(X2_iProver_leaf_occ_2),sK9(tptp0,sK16(X1_iProver_leaf_occ_2),sK17(X1_iProver_leaf_occ_2)))
      | ~ subactivity_occurrence(sK15(X0_iProver_leaf_occ_2),sK9(tptp0,sK16(X1_iProver_leaf_occ_2),sK17(X1_iProver_leaf_occ_2))) ),
    inference(instantiation,[status(thm)],[c_4494]) ).

tcf(c_18431,plain,
    ( min_precedes(sK15(sK18),sK17(sK18),tptp0)
    | ( sK15(sK18) = sK17(sK18) )
    | ~ arboreal(sK15(sK18))
    | ~ occurrence_of(sK9(tptp0,sK16(sK18),sK17(sK18)),tptp0)
    | ~ leaf_occ(sK17(sK18),sK9(tptp0,sK16(sK18),sK17(sK18)))
    | ~ subactivity_occurrence(sK15(sK18),sK9(tptp0,sK16(sK18),sK17(sK18))) ),
    inference(instantiation,[status(thm)],[c_18428]) ).

tcf(c_18454,plain,
    ! [X0_iProver_leaf_occ_2: iProver_leaf_occ_2,X0_iProver_occurrence_of_2: iProver_occurrence_of_2,X1_iProver_leaf_occ_2: iProver_leaf_occ_2] :
      ( leaf(sK15(X0_iProver_leaf_occ_2),X0_iProver_occurrence_of_2)
      | ~ leaf(sK17(X1_iProver_leaf_occ_2),tptp0)
      | ( X0_iProver_occurrence_of_2 != tptp0 )
      | ( sK15(X0_iProver_leaf_occ_2) != sK17(X1_iProver_leaf_occ_2) ) ),
    inference(instantiation,[status(thm)],[c_2759]) ).

tcf(c_18455,plain,
    ( leaf(sK15(sK18),tptp0)
    | ~ leaf(sK17(sK18),tptp0)
    | ( tptp0 != tptp0 )
    | ( sK15(sK18) != sK17(sK18) ) ),
    inference(instantiation,[status(thm)],[c_18454]) ).

tcf(c_23336,plain,
    ! [X0_iProver_leaf_occ_2: iProver_leaf_occ_2,X1_iProver_leaf_occ_2: iProver_leaf_occ_2] :
      ( ~ leaf(X1_iProver_leaf_occ_2,tptp0)
      | ~ occurrence_of(X1_iProver_leaf_occ_2,tptp1)
      | ~ occurrence_of(sK15(X0_iProver_leaf_occ_2),tptp3)
      | ~ next_subocc(sK18,sK15(X0_iProver_leaf_occ_2),tptp0)
      | ~ min_precedes(sK15(X0_iProver_leaf_occ_2),X1_iProver_leaf_occ_2,tptp0) ),
    inference(instantiation,[status(thm)],[c_830]) ).

tcf(c_29398,plain,
    ! [X0_iProver_leaf_occ_2: iProver_leaf_occ_2,X1_iProver_leaf_occ_2: iProver_leaf_occ_2] :
      ( ~ leaf(sK17(X1_iProver_leaf_occ_2),tptp0)
      | ~ occurrence_of(sK17(X1_iProver_leaf_occ_2),tptp1)
      | ~ occurrence_of(sK15(X0_iProver_leaf_occ_2),tptp3)
      | ~ next_subocc(sK18,sK15(X0_iProver_leaf_occ_2),tptp0)
      | ~ min_precedes(sK15(X0_iProver_leaf_occ_2),sK17(X1_iProver_leaf_occ_2),tptp0) ),
    inference(instantiation,[status(thm)],[c_23336]) ).

tcf(c_29399,plain,
    ( ~ leaf(sK17(sK18),tptp0)
    | ~ occurrence_of(sK17(sK18),tptp1)
    | ~ occurrence_of(sK15(sK18),tptp3)
    | ~ next_subocc(sK18,sK15(sK18),tptp0)
    | ~ min_precedes(sK15(sK18),sK17(sK18),tptp0) ),
    inference(instantiation,[status(thm)],[c_29398]) ).

tcf(c_29400,plain,
    $false,
    inference(prop_impl_just,[status(thm)],[c_29399,c_18455,c_18431,c_12383,c_7693,c_7244,c_4405,c_4050,c_4042,c_3360,c_2424,c_2373,c_2068,c_1966,c_1934,c_1896,c_1895,c_1894,c_1856,c_1779,c_1777,c_1767,c_1752,c_1750,c_1747,c_1744,c_1741,c_1739,c_1738,c_949,c_152,c_136,c_149,c_150,c_151]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : PRO014+3 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04  % Command  : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.09/0.36  % Computer : n015.cluster.edu
% 0.09/0.36  % Model    : x86_64 x86_64
% 0.09/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36  % Memory   : 8046.5625MB
% 0.09/0.36  % OS       : Linux 6.8.0-71-generic
% 0.09/0.36  % CPULimit : 300
% 0.09/0.36  % WCLimit  : 300
% 0.09/0.36  % DateTime : Thu Sep 24 06:34:25 UTC 2026
% 0.09/0.37  % CPUTime  : 
% 0.09/0.37  Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.09/0.42  Running first-order theorem proving
% 0.09/0.42  Running: /export/starexec/sandbox2/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s fof_schedule -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.43  
% 0.09/0.43  % ======== iProver multi-core TPTP/SMT =========
% 0.09/0.43  
% 0.09/0.44  % Detected problem language: tptp
% 0.09/0.45  % Proving...
% 42.20/6.99  % SZS status Started for theBenchmark.p
% 42.20/6.99  % SZS status Theorem for theBenchmark.p
% 42.20/6.99  
% 42.20/6.99  %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 42.20/6.99  
% 42.20/6.99  % ------  iProver source info
% 42.20/6.99  
% 42.20/6.99  % git: date: 2026-07-19 20:42:38 +0200
% 42.20/6.99  % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 42.20/6.99  % git: non_committed_changes: false
% 42.20/6.99  
% 42.20/6.99  % ------ Parsing...
% 42.20/6.99  % ------ Clausification by vclausify_rel  & Parsing by iProver...% 
% 42.20/6.99  
% 42.20/6.99  % ------ Preprocessing...% 
% 42.20/6.99  
% 42.20/6.99  % ------ Preprocessing...% 
% 42.20/6.99  
% 42.20/6.99  % ------ Preprocessing...
% 42.20/6.99  % ------ Proving...
% 42.20/6.99  % ------ Problem Properties 
% 42.20/6.99  
% 42.20/6.99  % 
% 42.20/6.99  % clauses                               104
% 42.20/6.99  % conjectures                           6
% 42.20/6.99  % EPR                                   66
% 42.20/6.99  % Horn                                  76
% 42.20/6.99  % unary                                 16
% 42.20/6.99  % binary                                37
% 42.20/6.99  % lits                                  303
% 42.20/6.99  % lits eq                               18
% 42.20/6.99  % fd_pure                               0
% 42.20/6.99  % fd_pseudo                             0
% 42.20/6.99  % fd_cond                               0
% 42.20/6.99  % fd_pseudo_cond                        12
% 42.20/6.99  % AC symbols                            0
% 42.20/6.99  
% 42.20/6.99  % ------ Input Options Time Limit: Unbounded
% 42.20/6.99  
% 42.20/6.99  
% 42.20/6.99  % ------ 
% 42.20/6.99  % Current options:
% 42.20/6.99  % ------ 
% 42.20/6.99  
% 42.20/6.99  
% 42.20/6.99  % 
% 42.20/6.99  
% 42.20/6.99  % ------ Proving...
% 42.20/6.99  % 
% 42.20/6.99  
% 42.20/6.99  % SZS status Theorem for theBenchmark.p
% 42.20/6.99  
% 42.20/6.99  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 42.20/6.99  
% 42.20/6.99  
%------------------------------------------------------------------------------