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iProver---3.9.4.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : iProver---3.9.4
% Problem  : PRO014+4 : 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 : n016.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 14.61s 7.84s
% Output   : CNFRefutation 14.61s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   22
%            Number of leaves      :   22
% Syntax   : Number of formulae    :  270 (  34 unt;   0 def)
%            Number of atoms       : 1091 (  79 equ)
%            Maximal formula atoms :   12 (   4 avg)
%            Number of connectives : 1461 ( 640   ~; 680   |; 122   &)
%                                         (   7 <=>;  12  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   13 (   6 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   :  519 (   0 sgn 480   !;  39   ?; 252   :)

% Comments : 
%------------------------------------------------------------------------------
fof(f3,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/sandbox/benchmark/theBenchmark.p',sos_02) ).

fof(f5,axiom,
    ! [X0,X1,X2,X3] :
      ( ( subactivity_occurrence(X3,X1)
        & subactivity_occurrence(X2,X1)
        & arboreal(X3)
        & arboreal(X2)
        & occurrence_of(X1,X0) )
     => ( X2 = X3
        | min_precedes(X3,X2,X0)
        | min_precedes(X2,X3,X0) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_04) ).

fof(f7,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_06) ).

fof(f8,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_07) ).

fof(f9,axiom,
    ! [X0,X1,X2] :
      ( ( occurrence_of(X0,X2)
        & occurrence_of(X0,X1) )
     => X1 = X2 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_08) ).

fof(f10,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_09) ).

fof(f16,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_15) ).

fof(f17,axiom,
    ! [X0,X1] :
      ( occurrence_of(X0,X1)
     => ( arboreal(X0)
      <=> atomic(X1) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_16) ).

fof(f19,axiom,
    ! [X0,X1] :
      ( leaf_occ(X0,X1)
    <=> ? [X2] :
          ( leaf(X0,X2)
          & subactivity_occurrence(X0,X1)
          & occurrence_of(X1,X2) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_18) ).

fof(f26,axiom,
    ! [X0,X1,X2] :
      ( next_subocc(X0,X1,X2)
     => ( arboreal(X1)
        & arboreal(X0) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_25) ).

fof(f27,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_26) ).

fof(f28,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/sandbox/benchmark/theBenchmark.p',sos_27) ).

fof(f33,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/sandbox/benchmark/theBenchmark.p',sos_32) ).

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

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

fof(f44,axiom,
    tptp3 != tptp1,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_43) ).

fof(f46,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/sandbox/benchmark/theBenchmark.p',goals) ).

fof(f47,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)],[f46]) ).

fof(f59,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,[],[f3]) ).

fof(f60,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,[],[f59]) ).

fof(f62,plain,
    ! [X0,X1,X2,X3] :
      ( ~ subactivity_occurrence(X3,X1)
      | ~ subactivity_occurrence(X2,X1)
      | ~ arboreal(X3)
      | ~ arboreal(X2)
      | ~ occurrence_of(X1,X0)
      | X2 = X3
      | min_precedes(X3,X2,X0)
      | min_precedes(X2,X3,X0) ),
    inference(ennf_transformation,[],[f5]) ).

fof(f63,plain,
    ! [X0,X1,X2,X3] :
      ( ~ subactivity_occurrence(X3,X1)
      | ~ subactivity_occurrence(X2,X1)
      | ~ arboreal(X3)
      | ~ arboreal(X2)
      | ~ occurrence_of(X1,X0)
      | X2 = X3
      | min_precedes(X3,X2,X0)
      | min_precedes(X2,X3,X0) ),
    inference(flattening,[],[f62]) ).

fof(f65,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,[],[f7]) ).

fof(f66,plain,
    ! [X0,X1] :
      ( atomic(X1)
      | ~ leaf(X0,X1)
      | ? [X2] :
          ( leaf_occ(X0,X2)
          & occurrence_of(X2,X1) ) ),
    inference(ennf_transformation,[],[f8]) ).

fof(f67,plain,
    ! [X0,X1] :
      ( atomic(X1)
      | ~ leaf(X0,X1)
      | ? [X2] :
          ( leaf_occ(X0,X2)
          & occurrence_of(X2,X1) ) ),
    inference(flattening,[],[f66]) ).

fof(f68,plain,
    ! [X0,X1,X2] :
      ( ~ occurrence_of(X0,X2)
      | ~ occurrence_of(X0,X1)
      | X1 = X2 ),
    inference(ennf_transformation,[],[f9]) ).

fof(f69,plain,
    ! [X0,X1,X2] :
      ( ~ occurrence_of(X0,X2)
      | ~ occurrence_of(X0,X1)
      | X1 = X2 ),
    inference(flattening,[],[f68]) ).

fof(f70,plain,
    ! [X0,X1,X2] :
      ( ~ leaf_occ(X1,X0)
      | ~ occurrence_of(X0,X2)
      | ! [X3] : ~ min_precedes(X1,X3,X2) ),
    inference(ennf_transformation,[],[f10]) ).

fof(f71,plain,
    ! [X0,X1,X2] :
      ( ~ leaf_occ(X1,X0)
      | ~ occurrence_of(X0,X2)
      | ! [X3] : ~ min_precedes(X1,X3,X2) ),
    inference(flattening,[],[f70]) ).

fof(f78,plain,
    ! [X0,X1] :
      ( leaf(X0,X1)
    <=> ( ! [X3] : ~ min_precedes(X0,X3,X1)
        & ( ? [X2] : min_precedes(X2,X0,X1)
          | root(X0,X1) ) ) ),
    inference(ennf_transformation,[],[f16]) ).

fof(f79,plain,
    ! [X0,X1] :
      ( ~ occurrence_of(X0,X1)
      | ( arboreal(X0)
      <=> atomic(X1) ) ),
    inference(ennf_transformation,[],[f17]) ).

fof(f86,plain,
    ! [X0,X1,X2] :
      ( ~ next_subocc(X0,X1,X2)
      | ( arboreal(X1)
        & arboreal(X0) ) ),
    inference(ennf_transformation,[],[f26]) ).

fof(f87,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,[],[f27]) ).

fof(f88,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,[],[f28]) ).

fof(f89,plain,
    ! [X0,X1,X2,X3] :
      ( ~ subactivity_occurrence(X1,X3)
      | ~ occurrence_of(X3,X2)
      | ~ min_precedes(X0,X1,X2)
      | subactivity_occurrence(X0,X3) ),
    inference(flattening,[],[f88]) ).

fof(f98,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,[],[f33]) ).

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

fof(f100,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,[],[f47]) ).

fof(f101,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,[],[f100]) ).

fof(f104,plain,
    ! [X0,X1,X2] :
      ( ~ min_precedes(X1,X2,X0)
      | ( subactivity_occurrence(X2,sK2(X0,X1,X2))
        & subactivity_occurrence(X1,sK2(X0,X1,X2))
        & occurrence_of(sK2(X0,X1,X2),X0) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK2]),skolemize(X3,sK2(X0,X1,X2))],[f65]) ).

fof(f105,plain,
    ! [X0,X1] :
      ( atomic(X1)
      | ~ leaf(X0,X1)
      | ( leaf_occ(X0,sK3(X0,X1))
        & occurrence_of(sK3(X0,X1),X1) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK3]),skolemize(X2,sK3(X0,X1))],[f67]) ).

fof(f108,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,[],[f78]) ).

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(flattening,[],[f108]) ).

fof(f110,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,[],[f109]) ).

fof(f111,plain,
    ! [X0,X1] :
      ( ( ~ leaf(X0,X1)
        | ( ! [X5] : ~ min_precedes(X0,X5,X1)
          & ( min_precedes(sK7(X0,X1),X0,X1)
            | root(X0,X1) ) ) )
      & ( min_precedes(X0,sK6(X0,X1),X1)
        | ( ! [X2] : ~ min_precedes(X2,X0,X1)
          & ~ root(X0,X1) )
        | leaf(X0,X1) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK6,sK7]),skolemize(X3,sK6(X0,X1)),skolemize(X4,sK7(X0,X1))],[f110]) ).

fof(f112,plain,
    ! [X0,X1] :
      ( ~ occurrence_of(X0,X1)
      | ( ( ~ arboreal(X0)
          | atomic(X1) )
        & ( ~ atomic(X1)
          | arboreal(X0) ) ) ),
    inference(nnf_transformation,[],[f79]) ).

fof(f113,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,[],[f19]) ).

fof(f114,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,[],[f113]) ).

fof(f115,plain,
    ! [X0,X1] :
      ( ( ~ leaf_occ(X0,X1)
        | ( leaf(X0,sK8(X0,X1))
          & subactivity_occurrence(X0,X1)
          & occurrence_of(X1,sK8(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,[sK8]),skolemize(X3,sK8(X0,X1))],[f114]) ).

fof(f119,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,[],[f87]) ).

fof(f120,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,[],[f119]) ).

fof(f121,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,[],[f120]) ).

fof(f122,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(sK10(X0,X1,X2),X1,X2)
          & min_precedes(X0,sK10(X0,X1,X2),X2) )
        | ~ min_precedes(X0,X1,X2)
        | next_subocc(X0,X1,X2) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK10]),skolemize(X3,sK10(X0,X1,X2))],[f121]) ).

fof(f123,plain,
    ! [X0,X1] :
      ( leaf_occ(X0,X1)
      | ~ arboreal(X0)
      | ~ subactivity_occurrence(X0,X1)
      | ~ occurrence_of(X1,tptp0)
      | ( leaf(sK13(X0),tptp0)
        & next_subocc(sK12(X0),sK13(X0),tptp0)
        & ( occurrence_of(sK13(X0),tptp1)
          | occurrence_of(sK13(X0),tptp2) )
        & next_subocc(sK11(X0),sK12(X0),tptp0)
        & occurrence_of(sK12(X0),tptp4)
        & next_subocc(X0,sK11(X0),tptp0)
        & occurrence_of(sK11(X0),tptp3) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK11,sK12,sK13]),skolemize(X2,sK11(X0)),skolemize(X3,sK12(X0)),skolemize(X4,sK13(X0))],[f99]) ).

fof(f124,plain,
    ( ~ leaf_occ(sK14,sK15)
    & arboreal(sK14)
    & subactivity_occurrence(sK14,sK15)
    & occurrence_of(sK15,tptp0)
    & ! [X2,X3] :
        ( ~ leaf(X3,tptp0)
        | ~ min_precedes(X2,X3,tptp0)
        | ( ~ occurrence_of(X3,tptp1)
          & ~ occurrence_of(X3,tptp2) )
        | ~ next_subocc(sK14,X2,tptp0)
        | ~ occurrence_of(X2,tptp3) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK14,sK15]),skolemize(X0,sK14),skolemize(X1,sK15)],[f101]) ).

fof(f128,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,[],[f60]) ).

fof(f130,plain,
    ! [X2,X3,X0,X1] :
      ( ~ subactivity_occurrence(X3,X1)
      | ~ subactivity_occurrence(X2,X1)
      | ~ arboreal(X3)
      | ~ arboreal(X2)
      | ~ occurrence_of(X1,X0)
      | X2 = X3
      | min_precedes(X3,X2,X0)
      | min_precedes(X2,X3,X0) ),
    inference(cnf_transformation,[],[f63]) ).

fof(f132,plain,
    ! [X2,X0,X1] :
      ( ~ min_precedes(X1,X2,X0)
      | subactivity_occurrence(X2,sK2(X0,X1,X2)) ),
    inference(cnf_transformation,[],[f104]) ).

fof(f133,plain,
    ! [X2,X0,X1] :
      ( ~ min_precedes(X1,X2,X0)
      | subactivity_occurrence(X1,sK2(X0,X1,X2)) ),
    inference(cnf_transformation,[],[f104]) ).

fof(f134,plain,
    ! [X2,X0,X1] :
      ( ~ min_precedes(X1,X2,X0)
      | occurrence_of(sK2(X0,X1,X2),X0) ),
    inference(cnf_transformation,[],[f104]) ).

fof(f135,plain,
    ! [X0,X1] :
      ( atomic(X1)
      | ~ leaf(X0,X1)
      | leaf_occ(X0,sK3(X0,X1)) ),
    inference(cnf_transformation,[],[f105]) ).

fof(f136,plain,
    ! [X0,X1] :
      ( atomic(X1)
      | ~ leaf(X0,X1)
      | occurrence_of(sK3(X0,X1),X1) ),
    inference(cnf_transformation,[],[f105]) ).

fof(f137,plain,
    ! [X2,X0,X1] :
      ( ~ occurrence_of(X0,X2)
      | ~ occurrence_of(X0,X1)
      | X1 = X2 ),
    inference(cnf_transformation,[],[f69]) ).

fof(f138,plain,
    ! [X2,X3,X0,X1] :
      ( ~ leaf_occ(X1,X0)
      | ~ occurrence_of(X0,X2)
      | ~ min_precedes(X1,X3,X2) ),
    inference(cnf_transformation,[],[f71]) ).

fof(f146,plain,
    ! [X0,X1,X5] :
      ( ~ leaf(X0,X1)
      | ~ min_precedes(X0,X5,X1) ),
    inference(cnf_transformation,[],[f111]) ).

fof(f151,plain,
    ! [X0,X1] :
      ( ~ occurrence_of(X0,X1)
      | ~ atomic(X1)
      | arboreal(X0) ),
    inference(cnf_transformation,[],[f112]) ).

fof(f154,plain,
    ! [X0,X1] :
      ( ~ leaf_occ(X0,X1)
      | subactivity_occurrence(X0,X1) ),
    inference(cnf_transformation,[],[f115]) ).

fof(f156,plain,
    ! [X2,X0,X1] :
      ( ~ leaf(X0,X2)
      | ~ subactivity_occurrence(X0,X1)
      | ~ occurrence_of(X1,X2)
      | leaf_occ(X0,X1) ),
    inference(cnf_transformation,[],[f115]) ).

fof(f166,plain,
    ! [X2,X0,X1] :
      ( ~ next_subocc(X0,X1,X2)
      | arboreal(X1) ),
    inference(cnf_transformation,[],[f86]) ).

fof(f168,plain,
    ! [X2,X0,X1,X4] :
      ( ~ next_subocc(X0,X1,X2)
      | ~ min_precedes(X4,X1,X2)
      | ~ min_precedes(X0,X4,X2) ),
    inference(cnf_transformation,[],[f122]) ).

fof(f169,plain,
    ! [X2,X0,X1] :
      ( ~ next_subocc(X0,X1,X2)
      | min_precedes(X0,X1,X2) ),
    inference(cnf_transformation,[],[f122]) ).

fof(f172,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,[],[f89]) ).

fof(f177,plain,
    ! [X0,X1] :
      ( leaf_occ(X0,X1)
      | ~ arboreal(X0)
      | ~ subactivity_occurrence(X0,X1)
      | ~ occurrence_of(X1,tptp0)
      | leaf(sK13(X0),tptp0) ),
    inference(cnf_transformation,[],[f123]) ).

fof(f178,plain,
    ! [X0,X1] :
      ( leaf_occ(X0,X1)
      | ~ arboreal(X0)
      | ~ subactivity_occurrence(X0,X1)
      | ~ occurrence_of(X1,tptp0)
      | next_subocc(sK12(X0),sK13(X0),tptp0) ),
    inference(cnf_transformation,[],[f123]) ).

fof(f179,plain,
    ! [X0,X1] :
      ( leaf_occ(X0,X1)
      | ~ arboreal(X0)
      | ~ subactivity_occurrence(X0,X1)
      | ~ occurrence_of(X1,tptp0)
      | occurrence_of(sK13(X0),tptp1)
      | occurrence_of(sK13(X0),tptp2) ),
    inference(cnf_transformation,[],[f123]) ).

fof(f180,plain,
    ! [X0,X1] :
      ( leaf_occ(X0,X1)
      | ~ arboreal(X0)
      | ~ subactivity_occurrence(X0,X1)
      | ~ occurrence_of(X1,tptp0)
      | next_subocc(sK11(X0),sK12(X0),tptp0) ),
    inference(cnf_transformation,[],[f123]) ).

fof(f181,plain,
    ! [X0,X1] :
      ( leaf_occ(X0,X1)
      | ~ arboreal(X0)
      | ~ subactivity_occurrence(X0,X1)
      | ~ occurrence_of(X1,tptp0)
      | occurrence_of(sK12(X0),tptp4) ),
    inference(cnf_transformation,[],[f123]) ).

fof(f182,plain,
    ! [X0,X1] :
      ( leaf_occ(X0,X1)
      | ~ arboreal(X0)
      | ~ subactivity_occurrence(X0,X1)
      | ~ occurrence_of(X1,tptp0)
      | next_subocc(X0,sK11(X0),tptp0) ),
    inference(cnf_transformation,[],[f123]) ).

fof(f183,plain,
    ! [X0,X1] :
      ( leaf_occ(X0,X1)
      | ~ arboreal(X0)
      | ~ subactivity_occurrence(X0,X1)
      | ~ occurrence_of(X1,tptp0)
      | occurrence_of(sK11(X0),tptp3) ),
    inference(cnf_transformation,[],[f123]) ).

fof(f184,plain,
    ~ atomic(tptp0),
    inference(cnf_transformation,[],[f35]) ).

fof(f185,plain,
    atomic(tptp4),
    inference(cnf_transformation,[],[f36]) ).

fof(f193,plain,
    tptp3 != tptp1,
    inference(cnf_transformation,[],[f44]) ).

fof(f195,plain,
    ~ leaf_occ(sK14,sK15),
    inference(cnf_transformation,[],[f124]) ).

fof(f196,plain,
    arboreal(sK14),
    inference(cnf_transformation,[],[f124]) ).

fof(f197,plain,
    subactivity_occurrence(sK14,sK15),
    inference(cnf_transformation,[],[f124]) ).

fof(f198,plain,
    occurrence_of(sK15,tptp0),
    inference(cnf_transformation,[],[f124]) ).

fof(f199,plain,
    ! [X2,X3] :
      ( ~ leaf(X3,tptp0)
      | ~ min_precedes(X2,X3,tptp0)
      | ~ occurrence_of(X3,tptp1)
      | ~ next_subocc(sK14,X2,tptp0)
      | ~ occurrence_of(X2,tptp3) ),
    inference(cnf_transformation,[],[f124]) ).

fof(f200,plain,
    ! [X2,X3] :
      ( ~ leaf(X3,tptp0)
      | ~ min_precedes(X2,X3,tptp0)
      | ~ occurrence_of(X3,tptp2)
      | ~ next_subocc(sK14,X2,tptp0)
      | ~ occurrence_of(X2,tptp3) ),
    inference(cnf_transformation,[],[f124]) ).

tcf(c_52,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,[],[f128]) ).

tcf(c_54,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( min_precedes(X3,X2,X1)
      | min_precedes(X2,X3,X1)
      | ( X2 = X3 )
      | ~ arboreal(X3)
      | ~ arboreal(X2)
      | ~ subactivity_occurrence(X3,X0)
      | ~ subactivity_occurrence(X2,X0)
      | ~ occurrence_of(X0,X1) ),
    inference(cnf_transformation,[],[f130]) ).

tcf(c_56,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( occurrence_of(sK2(X2,X0,X1),X2)
      | ~ min_precedes(X0,X1,X2) ),
    inference(cnf_transformation,[],[f134]) ).

tcf(c_57,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( subactivity_occurrence(X0,sK2(X2,X0,X1))
      | ~ min_precedes(X0,X1,X2) ),
    inference(cnf_transformation,[],[f133]) ).

tcf(c_58,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( subactivity_occurrence(X1,sK2(X2,X0,X1))
      | ~ min_precedes(X0,X1,X2) ),
    inference(cnf_transformation,[],[f132]) ).

tcf(c_59,plain,
    ! [X0: $i,X1: $i] :
      ( atomic(X1)
      | occurrence_of(sK3(X0,X1),X1)
      | ~ leaf(X0,X1) ),
    inference(cnf_transformation,[],[f136]) ).

tcf(c_60,plain,
    ! [X0: $i,X1: $i] :
      ( atomic(X1)
      | leaf_occ(X0,sK3(X0,X1))
      | ~ leaf(X0,X1) ),
    inference(cnf_transformation,[],[f135]) ).

tcf(c_61,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( X1 = X2 )
      | ~ occurrence_of(X0,X2)
      | ~ occurrence_of(X0,X1) ),
    inference(cnf_transformation,[],[f137]) ).

tcf(c_62,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,[],[f138]) ).

tcf(c_73,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ leaf(X0,X2)
      | ~ min_precedes(X0,X1,X2) ),
    inference(cnf_transformation,[],[f146]) ).

tcf(c_74,plain,
    ! [X0: $i,X1: $i] :
      ( arboreal(X0)
      | ~ atomic(X1)
      | ~ occurrence_of(X0,X1) ),
    inference(cnf_transformation,[],[f151]) ).

tcf(c_77,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( leaf_occ(X2,X0)
      | ~ leaf(X2,X1)
      | ~ subactivity_occurrence(X2,X0)
      | ~ occurrence_of(X0,X1) ),
    inference(cnf_transformation,[],[f156]) ).

tcf(c_79,plain,
    ! [X0: $i,X1: $i] :
      ( subactivity_occurrence(X0,X1)
      | ~ leaf_occ(X0,X1) ),
    inference(cnf_transformation,[],[f154]) ).

tcf(c_91,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( arboreal(X1)
      | ~ next_subocc(X0,X1,X2) ),
    inference(cnf_transformation,[],[f166]) ).

tcf(c_94,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( min_precedes(X0,X1,X2)
      | ~ next_subocc(X0,X1,X2) ),
    inference(cnf_transformation,[],[f169]) ).

tcf(c_95,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ~ next_subocc(X0,X3,X2)
      | ~ min_precedes(X1,X3,X2)
      | ~ min_precedes(X0,X1,X2) ),
    inference(cnf_transformation,[],[f168]) ).

tcf(c_96,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,[],[f172]) ).

tcf(c_101,plain,
    ! [X0: $i,X1: $i] :
      ( leaf_occ(X0,X1)
      | occurrence_of(sK11(X0),tptp3)
      | ~ arboreal(X0)
      | ~ occurrence_of(X1,tptp0)
      | ~ subactivity_occurrence(X0,X1) ),
    inference(cnf_transformation,[],[f183]) ).

tcf(c_102,plain,
    ! [X0: $i,X1: $i] :
      ( leaf_occ(X0,X1)
      | next_subocc(X0,sK11(X0),tptp0)
      | ~ arboreal(X0)
      | ~ occurrence_of(X1,tptp0)
      | ~ subactivity_occurrence(X0,X1) ),
    inference(cnf_transformation,[],[f182]) ).

tcf(c_103,plain,
    ! [X0: $i,X1: $i] :
      ( leaf_occ(X0,X1)
      | occurrence_of(sK12(X0),tptp4)
      | ~ arboreal(X0)
      | ~ occurrence_of(X1,tptp0)
      | ~ subactivity_occurrence(X0,X1) ),
    inference(cnf_transformation,[],[f181]) ).

tcf(c_104,plain,
    ! [X0: $i,X1: $i] :
      ( leaf_occ(X0,X1)
      | next_subocc(sK11(X0),sK12(X0),tptp0)
      | ~ arboreal(X0)
      | ~ occurrence_of(X1,tptp0)
      | ~ subactivity_occurrence(X0,X1) ),
    inference(cnf_transformation,[],[f180]) ).

tcf(c_105,plain,
    ! [X0: $i,X1: $i] :
      ( leaf_occ(X0,X1)
      | occurrence_of(sK13(X0),tptp1)
      | occurrence_of(sK13(X0),tptp2)
      | ~ arboreal(X0)
      | ~ occurrence_of(X1,tptp0)
      | ~ subactivity_occurrence(X0,X1) ),
    inference(cnf_transformation,[],[f179]) ).

tcf(c_106,plain,
    ! [X0: $i,X1: $i] :
      ( leaf_occ(X0,X1)
      | next_subocc(sK12(X0),sK13(X0),tptp0)
      | ~ arboreal(X0)
      | ~ occurrence_of(X1,tptp0)
      | ~ subactivity_occurrence(X0,X1) ),
    inference(cnf_transformation,[],[f178]) ).

tcf(c_107,plain,
    ! [X0: $i,X1: $i] :
      ( leaf_occ(X0,X1)
      | leaf(sK13(X0),tptp0)
      | ~ arboreal(X0)
      | ~ occurrence_of(X1,tptp0)
      | ~ subactivity_occurrence(X0,X1) ),
    inference(cnf_transformation,[],[f177]) ).

tcf(c_108,plain,
    ~ atomic(tptp0),
    inference(cnf_transformation,[],[f184]) ).

tcf(c_109,plain,
    atomic(tptp4),
    inference(cnf_transformation,[],[f185]) ).

tcf(c_117,plain,
    tptp3 != tptp1,
    inference(cnf_transformation,[],[f193]) ).

tcf(c_119,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( ~ leaf(X1,tptp0)
      | ~ occurrence_of(X1,tptp2)
      | ~ occurrence_of(X0,tptp3)
      | ~ next_subocc(sK14,X0,tptp0)
      | ~ min_precedes(X0,X1,tptp0) ),
    inference(cnf_transformation,[],[f200]) ).

tcf(c_120,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( ~ leaf(X1,tptp0)
      | ~ occurrence_of(X1,tptp1)
      | ~ occurrence_of(X0,tptp3)
      | ~ next_subocc(sK14,X0,tptp0)
      | ~ min_precedes(X0,X1,tptp0) ),
    inference(cnf_transformation,[],[f199]) ).

tcf(c_121,negated_conjecture,
    occurrence_of(sK15,tptp0),
    inference(cnf_transformation,[],[f198]) ).

tcf(c_122,negated_conjecture,
    subactivity_occurrence(sK14,sK15),
    inference(cnf_transformation,[],[f197]) ).

tcf(c_123,negated_conjecture,
    arboreal(sK14),
    inference(cnf_transformation,[],[f196]) ).

tcf(c_124,negated_conjecture,
    ~ leaf_occ(sK14,sK15),
    inference(cnf_transformation,[],[f195]) ).

tcf(c_4657,negated_conjecture,
    ~ leaf_occ(sK14,sK15),
    inference(subtyping,[status(esa)],[c_124]) ).

tcf(c_4660,negated_conjecture,
    occurrence_of(sK15,tptp0),
    inference(subtyping,[status(esa)],[c_121]) ).

tcf(c_4661,negated_conjecture,
    ! [X0_iProver_sK5_1: iProver_sK5_1,X1_iProver_sK5_1: iProver_sK5_1] :
      ( ~ leaf(X1_iProver_sK5_1,tptp0)
      | ~ occurrence_of(X1_iProver_sK5_1,tptp1)
      | ~ occurrence_of(X0_iProver_sK5_1,tptp3)
      | ~ next_subocc(sK14,X0_iProver_sK5_1,tptp0)
      | ~ min_precedes(X0_iProver_sK5_1,X1_iProver_sK5_1,tptp0) ),
    inference(subtyping,[status(esa)],[c_120]) ).

tcf(c_4662,negated_conjecture,
    ! [X0_iProver_sK5_1: iProver_sK5_1,X1_iProver_sK5_1: iProver_sK5_1] :
      ( ~ leaf(X1_iProver_sK5_1,tptp0)
      | ~ occurrence_of(X1_iProver_sK5_1,tptp2)
      | ~ occurrence_of(X0_iProver_sK5_1,tptp3)
      | ~ next_subocc(sK14,X0_iProver_sK5_1,tptp0)
      | ~ min_precedes(X0_iProver_sK5_1,X1_iProver_sK5_1,tptp0) ),
    inference(subtyping,[status(esa)],[c_119]) ).

tcf(c_4664,plain,
    tptp3 != tptp1,
    inference(subtyping,[status(esa)],[c_117]) ).

tcf(c_4674,plain,
    ! [X0_iProver_sK5_1: iProver_sK5_1,X1_iProver_sK5_1: iProver_sK5_1] :
      ( leaf_occ(X0_iProver_sK5_1,X1_iProver_sK5_1)
      | leaf(sK13(X0_iProver_sK5_1),tptp0)
      | ~ arboreal(X0_iProver_sK5_1)
      | ~ occurrence_of(X1_iProver_sK5_1,tptp0)
      | ~ subactivity_occurrence(X0_iProver_sK5_1,X1_iProver_sK5_1) ),
    inference(subtyping,[status(esa)],[c_107]) ).

tcf(c_4675,plain,
    ! [X0_iProver_sK5_1: iProver_sK5_1,X1_iProver_sK5_1: iProver_sK5_1] :
      ( leaf_occ(X0_iProver_sK5_1,X1_iProver_sK5_1)
      | next_subocc(sK12(X0_iProver_sK5_1),sK13(X0_iProver_sK5_1),tptp0)
      | ~ arboreal(X0_iProver_sK5_1)
      | ~ occurrence_of(X1_iProver_sK5_1,tptp0)
      | ~ subactivity_occurrence(X0_iProver_sK5_1,X1_iProver_sK5_1) ),
    inference(subtyping,[status(esa)],[c_106]) ).

tcf(c_4676,plain,
    ! [X0_iProver_sK5_1: iProver_sK5_1,X1_iProver_sK5_1: iProver_sK5_1] :
      ( leaf_occ(X0_iProver_sK5_1,X1_iProver_sK5_1)
      | occurrence_of(sK13(X0_iProver_sK5_1),tptp1)
      | occurrence_of(sK13(X0_iProver_sK5_1),tptp2)
      | ~ arboreal(X0_iProver_sK5_1)
      | ~ occurrence_of(X1_iProver_sK5_1,tptp0)
      | ~ subactivity_occurrence(X0_iProver_sK5_1,X1_iProver_sK5_1) ),
    inference(subtyping,[status(esa)],[c_105]) ).

tcf(c_4677,plain,
    ! [X0_iProver_sK5_1: iProver_sK5_1,X1_iProver_sK5_1: iProver_sK5_1] :
      ( leaf_occ(X0_iProver_sK5_1,X1_iProver_sK5_1)
      | next_subocc(sK11(X0_iProver_sK5_1),sK12(X0_iProver_sK5_1),tptp0)
      | ~ arboreal(X0_iProver_sK5_1)
      | ~ occurrence_of(X1_iProver_sK5_1,tptp0)
      | ~ subactivity_occurrence(X0_iProver_sK5_1,X1_iProver_sK5_1) ),
    inference(subtyping,[status(esa)],[c_104]) ).

tcf(c_4678,plain,
    ! [X0_iProver_sK5_1: iProver_sK5_1,X1_iProver_sK5_1: iProver_sK5_1] :
      ( leaf_occ(X0_iProver_sK5_1,X1_iProver_sK5_1)
      | occurrence_of(sK12(X0_iProver_sK5_1),tptp4)
      | ~ arboreal(X0_iProver_sK5_1)
      | ~ occurrence_of(X1_iProver_sK5_1,tptp0)
      | ~ subactivity_occurrence(X0_iProver_sK5_1,X1_iProver_sK5_1) ),
    inference(subtyping,[status(esa)],[c_103]) ).

tcf(c_4679,plain,
    ! [X0_iProver_sK5_1: iProver_sK5_1,X1_iProver_sK5_1: iProver_sK5_1] :
      ( leaf_occ(X0_iProver_sK5_1,X1_iProver_sK5_1)
      | next_subocc(X0_iProver_sK5_1,sK11(X0_iProver_sK5_1),tptp0)
      | ~ arboreal(X0_iProver_sK5_1)
      | ~ occurrence_of(X1_iProver_sK5_1,tptp0)
      | ~ subactivity_occurrence(X0_iProver_sK5_1,X1_iProver_sK5_1) ),
    inference(subtyping,[status(esa)],[c_102]) ).

tcf(c_4680,plain,
    ! [X0_iProver_sK5_1: iProver_sK5_1,X1_iProver_sK5_1: iProver_sK5_1] :
      ( leaf_occ(X0_iProver_sK5_1,X1_iProver_sK5_1)
      | occurrence_of(sK11(X0_iProver_sK5_1),tptp3)
      | ~ arboreal(X0_iProver_sK5_1)
      | ~ occurrence_of(X1_iProver_sK5_1,tptp0)
      | ~ subactivity_occurrence(X0_iProver_sK5_1,X1_iProver_sK5_1) ),
    inference(subtyping,[status(esa)],[c_101]) ).

tcf(c_4685,plain,
    ! [X0_iProver_sK5_1: iProver_sK5_1,X0_iProver_atomic_1: iProver_atomic_1,X1_iProver_sK5_1: iProver_sK5_1,X2_iProver_sK5_1: iProver_sK5_1] :
      ( subactivity_occurrence(X0_iProver_sK5_1,X2_iProver_sK5_1)
      | ~ subactivity_occurrence(X1_iProver_sK5_1,X2_iProver_sK5_1)
      | ~ occurrence_of(X2_iProver_sK5_1,X0_iProver_atomic_1)
      | ~ min_precedes(X0_iProver_sK5_1,X1_iProver_sK5_1,X0_iProver_atomic_1) ),
    inference(subtyping,[status(esa)],[c_96]) ).

tcf(c_4686,plain,
    ! [X0_iProver_sK5_1: iProver_sK5_1,X0_iProver_atomic_1: iProver_atomic_1,X1_iProver_sK5_1: iProver_sK5_1,X2_iProver_sK5_1: iProver_sK5_1] :
      ( ~ next_subocc(X0_iProver_sK5_1,X2_iProver_sK5_1,X0_iProver_atomic_1)
      | ~ min_precedes(X1_iProver_sK5_1,X2_iProver_sK5_1,X0_iProver_atomic_1)
      | ~ min_precedes(X0_iProver_sK5_1,X1_iProver_sK5_1,X0_iProver_atomic_1) ),
    inference(subtyping,[status(esa)],[c_95]) ).

tcf(c_4687,plain,
    ! [X0_iProver_sK5_1: iProver_sK5_1,X0_iProver_atomic_1: iProver_atomic_1,X1_iProver_sK5_1: iProver_sK5_1] :
      ( min_precedes(X0_iProver_sK5_1,X1_iProver_sK5_1,X0_iProver_atomic_1)
      | ~ next_subocc(X0_iProver_sK5_1,X1_iProver_sK5_1,X0_iProver_atomic_1) ),
    inference(subtyping,[status(esa)],[c_94]) ).

tcf(c_4690,plain,
    ! [X0_iProver_sK5_1: iProver_sK5_1,X0_iProver_atomic_1: iProver_atomic_1,X1_iProver_sK5_1: iProver_sK5_1] :
      ( arboreal(X1_iProver_sK5_1)
      | ~ next_subocc(X0_iProver_sK5_1,X1_iProver_sK5_1,X0_iProver_atomic_1) ),
    inference(subtyping,[status(esa)],[c_91]) ).

tcf(c_4702,plain,
    ! [X0_iProver_sK5_1: iProver_sK5_1,X1_iProver_sK5_1: iProver_sK5_1] :
      ( subactivity_occurrence(X0_iProver_sK5_1,X1_iProver_sK5_1)
      | ~ leaf_occ(X0_iProver_sK5_1,X1_iProver_sK5_1) ),
    inference(subtyping,[status(esa)],[c_79]) ).

tcf(c_4704,plain,
    ! [X0_iProver_sK5_1: iProver_sK5_1,X0_iProver_atomic_1: iProver_atomic_1,X1_iProver_sK5_1: iProver_sK5_1] :
      ( leaf_occ(X1_iProver_sK5_1,X0_iProver_sK5_1)
      | ~ leaf(X1_iProver_sK5_1,X0_iProver_atomic_1)
      | ~ subactivity_occurrence(X1_iProver_sK5_1,X0_iProver_sK5_1)
      | ~ occurrence_of(X0_iProver_sK5_1,X0_iProver_atomic_1) ),
    inference(subtyping,[status(esa)],[c_77]) ).

tcf(c_4707,plain,
    ! [X0_iProver_sK5_1: iProver_sK5_1,X0_iProver_atomic_1: iProver_atomic_1] :
      ( arboreal(X0_iProver_sK5_1)
      | ~ atomic(X0_iProver_atomic_1)
      | ~ occurrence_of(X0_iProver_sK5_1,X0_iProver_atomic_1) ),
    inference(subtyping,[status(esa)],[c_74]) ).

tcf(c_4708,plain,
    ! [X0_iProver_sK5_1: iProver_sK5_1,X0_iProver_atomic_1: iProver_atomic_1,X1_iProver_sK5_1: iProver_sK5_1] :
      ( ~ leaf(X0_iProver_sK5_1,X0_iProver_atomic_1)
      | ~ min_precedes(X0_iProver_sK5_1,X1_iProver_sK5_1,X0_iProver_atomic_1) ),
    inference(subtyping,[status(esa)],[c_73]) ).

tcf(c_4717,plain,
    ! [X0_iProver_sK5_1: iProver_sK5_1,X0_iProver_atomic_1: iProver_atomic_1,X1_iProver_sK5_1: iProver_sK5_1,X2_iProver_sK5_1: iProver_sK5_1] :
      ( ~ leaf_occ(X0_iProver_sK5_1,X2_iProver_sK5_1)
      | ~ occurrence_of(X2_iProver_sK5_1,X0_iProver_atomic_1)
      | ~ min_precedes(X0_iProver_sK5_1,X1_iProver_sK5_1,X0_iProver_atomic_1) ),
    inference(subtyping,[status(esa)],[c_62]) ).

tcf(c_4718,plain,
    ! [X0_iProver_sK5_1: iProver_sK5_1,X0_iProver_atomic_1: iProver_atomic_1,X1_iProver_atomic_1: iProver_atomic_1] :
      ( ( X0_iProver_atomic_1 = X1_iProver_atomic_1 )
      | ~ occurrence_of(X0_iProver_sK5_1,X1_iProver_atomic_1)
      | ~ occurrence_of(X0_iProver_sK5_1,X0_iProver_atomic_1) ),
    inference(subtyping,[status(esa)],[c_61]) ).

tcf(c_4719,plain,
    ! [X0_iProver_sK5_1: iProver_sK5_1,X0_iProver_atomic_1: iProver_atomic_1] :
      ( atomic(X0_iProver_atomic_1)
      | leaf_occ(X0_iProver_sK5_1,sK3(X0_iProver_sK5_1,X0_iProver_atomic_1))
      | ~ leaf(X0_iProver_sK5_1,X0_iProver_atomic_1) ),
    inference(subtyping,[status(esa)],[c_60]) ).

tcf(c_4720,plain,
    ! [X0_iProver_sK5_1: iProver_sK5_1,X0_iProver_atomic_1: iProver_atomic_1] :
      ( atomic(X0_iProver_atomic_1)
      | occurrence_of(sK3(X0_iProver_sK5_1,X0_iProver_atomic_1),X0_iProver_atomic_1)
      | ~ leaf(X0_iProver_sK5_1,X0_iProver_atomic_1) ),
    inference(subtyping,[status(esa)],[c_59]) ).

tcf(c_4721,plain,
    ! [X0_iProver_sK5_1: iProver_sK5_1,X0_iProver_atomic_1: iProver_atomic_1,X1_iProver_sK5_1: iProver_sK5_1] :
      ( subactivity_occurrence(X1_iProver_sK5_1,sK2(X0_iProver_atomic_1,X0_iProver_sK5_1,X1_iProver_sK5_1))
      | ~ min_precedes(X0_iProver_sK5_1,X1_iProver_sK5_1,X0_iProver_atomic_1) ),
    inference(subtyping,[status(esa)],[c_58]) ).

tcf(c_4722,plain,
    ! [X0_iProver_sK5_1: iProver_sK5_1,X0_iProver_atomic_1: iProver_atomic_1,X1_iProver_sK5_1: iProver_sK5_1] :
      ( subactivity_occurrence(X0_iProver_sK5_1,sK2(X0_iProver_atomic_1,X0_iProver_sK5_1,X1_iProver_sK5_1))
      | ~ min_precedes(X0_iProver_sK5_1,X1_iProver_sK5_1,X0_iProver_atomic_1) ),
    inference(subtyping,[status(esa)],[c_57]) ).

tcf(c_4723,plain,
    ! [X0_iProver_sK5_1: iProver_sK5_1,X0_iProver_atomic_1: iProver_atomic_1,X1_iProver_sK5_1: iProver_sK5_1] :
      ( occurrence_of(sK2(X0_iProver_atomic_1,X0_iProver_sK5_1,X1_iProver_sK5_1),X0_iProver_atomic_1)
      | ~ min_precedes(X0_iProver_sK5_1,X1_iProver_sK5_1,X0_iProver_atomic_1) ),
    inference(subtyping,[status(esa)],[c_56]) ).

tcf(c_4724,plain,
    ! [X0_iProver_sK5_1: iProver_sK5_1,X0_iProver_atomic_1: iProver_atomic_1,X1_iProver_sK5_1: iProver_sK5_1,X2_iProver_sK5_1: iProver_sK5_1] :
      ( min_precedes(X2_iProver_sK5_1,X1_iProver_sK5_1,X0_iProver_atomic_1)
      | min_precedes(X1_iProver_sK5_1,X2_iProver_sK5_1,X0_iProver_atomic_1)
      | ( X1_iProver_sK5_1 = X2_iProver_sK5_1 )
      | ~ arboreal(X2_iProver_sK5_1)
      | ~ arboreal(X1_iProver_sK5_1)
      | ~ subactivity_occurrence(X2_iProver_sK5_1,X0_iProver_sK5_1)
      | ~ subactivity_occurrence(X1_iProver_sK5_1,X0_iProver_sK5_1)
      | ~ occurrence_of(X0_iProver_sK5_1,X0_iProver_atomic_1) ),
    inference(subtyping,[status(esa)],[c_54]) ).

tcf(c_4726,plain,
    ! [X0_iProver_sK5_1: iProver_sK5_1,X0_iProver_atomic_1: iProver_atomic_1,X1_iProver_sK5_1: iProver_sK5_1,X2_iProver_sK5_1: iProver_sK5_1] :
      ( min_precedes(X1_iProver_sK5_1,X2_iProver_sK5_1,X0_iProver_atomic_1)
      | ( X1_iProver_sK5_1 = X2_iProver_sK5_1 )
      | ~ arboreal(X1_iProver_sK5_1)
      | ~ leaf_occ(X2_iProver_sK5_1,X0_iProver_sK5_1)
      | ~ subactivity_occurrence(X1_iProver_sK5_1,X0_iProver_sK5_1)
      | ~ occurrence_of(X0_iProver_sK5_1,X0_iProver_atomic_1) ),
    inference(subtyping,[status(esa)],[c_52]) ).

tcf(c_4731,plain,
    ! [X0_iProver_sK5_1: iProver_sK5_1] : X0_iProver_sK5_1 = X0_iProver_sK5_1,
    theory(equality) ).

tcf(c_4732,plain,
    ! [X0_iProver_atomic_1: iProver_atomic_1] : X0_iProver_atomic_1 = X0_iProver_atomic_1,
    theory(equality) ).

tcf(c_4733,plain,
    ! [X0_iProver_sK5_1: iProver_sK5_1,X1_iProver_sK5_1: iProver_sK5_1,X2_iProver_sK5_1: iProver_sK5_1] :
      ( ( X2_iProver_sK5_1 = X0_iProver_sK5_1 )
      | ( X2_iProver_sK5_1 != X1_iProver_sK5_1 )
      | ( X0_iProver_sK5_1 != X1_iProver_sK5_1 ) ),
    theory(equality) ).

tcf(c_4742,plain,
    ! [X0_iProver_sK5_1: iProver_sK5_1,X0_iProver_atomic_1: iProver_atomic_1,X1_iProver_sK5_1: iProver_sK5_1,X1_iProver_atomic_1: iProver_atomic_1] :
      ( leaf(X0_iProver_sK5_1,X0_iProver_atomic_1)
      | ~ leaf(X1_iProver_sK5_1,X1_iProver_atomic_1)
      | ( X0_iProver_atomic_1 != X1_iProver_atomic_1 )
      | ( X0_iProver_sK5_1 != X1_iProver_sK5_1 ) ),
    theory(equality) ).

tcf(c_4743,plain,
    ! [X0_iProver_sK5_1: iProver_sK5_1,X0_iProver_atomic_1: iProver_atomic_1,X1_iProver_sK5_1: iProver_sK5_1,X1_iProver_atomic_1: iProver_atomic_1,X2_iProver_sK5_1: iProver_sK5_1,X3_iProver_sK5_1: iProver_sK5_1] :
      ( next_subocc(X0_iProver_sK5_1,X2_iProver_sK5_1,X0_iProver_atomic_1)
      | ~ next_subocc(X1_iProver_sK5_1,X3_iProver_sK5_1,X1_iProver_atomic_1)
      | ( X2_iProver_sK5_1 != X3_iProver_sK5_1 )
      | ( X0_iProver_atomic_1 != X1_iProver_atomic_1 )
      | ( X0_iProver_sK5_1 != X1_iProver_sK5_1 ) ),
    theory(equality) ).

tcf(c_4745,plain,
    sK14 = sK14,
    inference(instantiation,[status(thm)],[c_4731]) ).

tcf(c_4746,plain,
    tptp0 = tptp0,
    inference(instantiation,[status(thm)],[c_4732]) ).

tcf(c_5799,plain,
    ( leaf_occ(sK14,sK15)
    | leaf(sK13(sK14),tptp0)
    | ~ arboreal(sK14)
    | ~ subactivity_occurrence(sK14,sK15)
    | ~ occurrence_of(sK15,tptp0) ),
    inference(instantiation,[status(thm)],[c_4674]) ).

tcf(c_5800,plain,
    ( leaf_occ(sK14,sK15)
    | occurrence_of(sK12(sK14),tptp4)
    | ~ arboreal(sK14)
    | ~ subactivity_occurrence(sK14,sK15)
    | ~ occurrence_of(sK15,tptp0) ),
    inference(instantiation,[status(thm)],[c_4678]) ).

tcf(c_5801,plain,
    ( leaf_occ(sK14,sK15)
    | occurrence_of(sK11(sK14),tptp3)
    | ~ arboreal(sK14)
    | ~ subactivity_occurrence(sK14,sK15)
    | ~ occurrence_of(sK15,tptp0) ),
    inference(instantiation,[status(thm)],[c_4680]) ).

tcf(c_5802,plain,
    ! [X0_iProver_atomic_1: iProver_atomic_1] :
      ( leaf_occ(sK14,sK15)
      | ~ subactivity_occurrence(sK14,sK15)
      | ~ leaf(sK14,X0_iProver_atomic_1)
      | ~ occurrence_of(sK15,X0_iProver_atomic_1) ),
    inference(instantiation,[status(thm)],[c_4704]) ).

tcf(c_5803,plain,
    ( leaf_occ(sK14,sK15)
    | ~ leaf(sK14,tptp0)
    | ~ subactivity_occurrence(sK14,sK15)
    | ~ occurrence_of(sK15,tptp0) ),
    inference(instantiation,[status(thm)],[c_5802]) ).

tcf(c_5809,plain,
    ! [X0_iProver_sK5_1: iProver_sK5_1,X0_iProver_atomic_1: iProver_atomic_1,X1_iProver_sK5_1: iProver_sK5_1] :
      ( leaf(X0_iProver_sK5_1,tptp0)
      | ~ leaf(X1_iProver_sK5_1,X0_iProver_atomic_1)
      | ( tptp0 != X0_iProver_atomic_1 )
      | ( X0_iProver_sK5_1 != X1_iProver_sK5_1 ) ),
    inference(instantiation,[status(thm)],[c_4742]) ).

tcf(c_5815,plain,
    ! [X0_iProver_sK5_1: iProver_sK5_1] :
      ( ~ occurrence_of(X0_iProver_sK5_1,tptp3)
      | ~ leaf(sK13(sK14),tptp0)
      | ~ occurrence_of(sK13(sK14),tptp2)
      | ~ next_subocc(sK14,X0_iProver_sK5_1,tptp0)
      | ~ min_precedes(X0_iProver_sK5_1,sK13(sK14),tptp0) ),
    inference(instantiation,[status(thm)],[c_4662]) ).

tcf(c_5819,plain,
    ! [X0_iProver_sK5_1: iProver_sK5_1] :
      ( ~ leaf(sK13(sK14),tptp0)
      | ~ min_precedes(sK13(sK14),X0_iProver_sK5_1,tptp0) ),
    inference(instantiation,[status(thm)],[c_4708]) ).

tcf(c_5820,plain,
    ( ~ leaf(sK13(sK14),tptp0)
    | ~ min_precedes(sK13(sK14),sK14,tptp0) ),
    inference(instantiation,[status(thm)],[c_5819]) ).

tcf(c_5834,plain,
    ! [X0_iProver_sK5_1: iProver_sK5_1] :
      ( leaf(X0_iProver_sK5_1,tptp0)
      | ~ leaf(sK13(sK14),tptp0)
      | ( tptp0 != tptp0 )
      | ( X0_iProver_sK5_1 != sK13(sK14) ) ),
    inference(instantiation,[status(thm)],[c_5809]) ).

tcf(c_5835,plain,
    ( leaf(sK14,tptp0)
    | ~ leaf(sK13(sK14),tptp0)
    | ( sK14 != sK13(sK14) )
    | ( tptp0 != tptp0 ) ),
    inference(instantiation,[status(thm)],[c_5834]) ).

tcf(c_5840,plain,
    ! [X0_iProver_sK5_1: iProver_sK5_1] :
      ( min_precedes(sK13(sK14),X0_iProver_sK5_1,tptp0)
      | ~ next_subocc(sK13(sK14),X0_iProver_sK5_1,tptp0) ),
    inference(instantiation,[status(thm)],[c_4687]) ).

tcf(c_5841,plain,
    ( min_precedes(sK13(sK14),sK14,tptp0)
    | ~ next_subocc(sK13(sK14),sK14,tptp0) ),
    inference(instantiation,[status(thm)],[c_5840]) ).

tcf(c_5864,plain,
    ( ~ leaf(sK13(sK14),tptp0)
    | ~ occurrence_of(sK13(sK14),tptp2)
    | ~ occurrence_of(sK11(sK14),tptp3)
    | ~ next_subocc(sK14,sK11(sK14),tptp0)
    | ~ min_precedes(sK11(sK14),sK13(sK14),tptp0) ),
    inference(instantiation,[status(thm)],[c_5815]) ).

tcf(c_5918,plain,
    ! [X0_iProver_sK5_1: iProver_sK5_1,X0_iProver_atomic_1: iProver_atomic_1] :
      ( arboreal(sK13(sK14))
      | ~ next_subocc(X0_iProver_sK5_1,sK13(sK14),X0_iProver_atomic_1) ),
    inference(instantiation,[status(thm)],[c_4690]) ).

tcf(c_5926,plain,
    ! [X0_iProver_sK5_1: iProver_sK5_1] :
      ( leaf_occ(sK14,X0_iProver_sK5_1)
      | next_subocc(sK14,sK11(sK14),tptp0)
      | ~ arboreal(sK14)
      | ~ subactivity_occurrence(sK14,X0_iProver_sK5_1)
      | ~ occurrence_of(X0_iProver_sK5_1,tptp0) ),
    inference(instantiation,[status(thm)],[c_4679]) ).

tcf(c_5934,plain,
    ! [X0_iProver_sK5_1: iProver_sK5_1,X0_iProver_atomic_1: iProver_atomic_1,X1_iProver_sK5_1: iProver_sK5_1,X2_iProver_sK5_1: iProver_sK5_1] :
      ( next_subocc(sK13(sK14),X1_iProver_sK5_1,tptp0)
      | ~ next_subocc(X0_iProver_sK5_1,X2_iProver_sK5_1,X0_iProver_atomic_1)
      | ( tptp0 != X0_iProver_atomic_1 )
      | ( X1_iProver_sK5_1 != X2_iProver_sK5_1 )
      | ( sK13(sK14) != X0_iProver_sK5_1 ) ),
    inference(instantiation,[status(thm)],[c_4743]) ).

tcf(c_5981,plain,
    ! [X0_iProver_sK5_1: iProver_sK5_1,X1_iProver_sK5_1: iProver_sK5_1] :
      ( ~ occurrence_of(X0_iProver_sK5_1,tptp3)
      | ~ next_subocc(sK14,X0_iProver_sK5_1,tptp0)
      | ~ leaf(sK13(X1_iProver_sK5_1),tptp0)
      | ~ occurrence_of(sK13(X1_iProver_sK5_1),tptp1)
      | ~ min_precedes(X0_iProver_sK5_1,sK13(X1_iProver_sK5_1),tptp0) ),
    inference(instantiation,[status(thm)],[c_4661]) ).

tcf(c_5990,plain,
    ! [X0_iProver_sK5_1: iProver_sK5_1,X1_iProver_sK5_1: iProver_sK5_1] :
      ( occurrence_of(sK2(tptp0,X0_iProver_sK5_1,X1_iProver_sK5_1),tptp0)
      | ~ min_precedes(X0_iProver_sK5_1,X1_iProver_sK5_1,tptp0) ),
    inference(instantiation,[status(thm)],[c_4723]) ).

tcf(c_6053,plain,
    ( arboreal(sK13(sK14))
    | ~ next_subocc(sK12(sK14),sK13(sK14),tptp0) ),
    inference(instantiation,[status(thm)],[c_5918]) ).

tcf(c_6080,plain,
    ! [X0_iProver_sK5_1: iProver_sK5_1,X0_iProver_atomic_1: iProver_atomic_1,X1_iProver_sK5_1: iProver_sK5_1,X2_iProver_sK5_1: iProver_sK5_1] :
      ( min_precedes(X2_iProver_sK5_1,sK13(X0_iProver_sK5_1),X0_iProver_atomic_1)
      | ( X2_iProver_sK5_1 = sK13(X0_iProver_sK5_1) )
      | ~ arboreal(X2_iProver_sK5_1)
      | ~ subactivity_occurrence(X2_iProver_sK5_1,X1_iProver_sK5_1)
      | ~ occurrence_of(X1_iProver_sK5_1,X0_iProver_atomic_1)
      | ~ leaf_occ(sK13(X0_iProver_sK5_1),X1_iProver_sK5_1) ),
    inference(instantiation,[status(thm)],[c_4726]) ).

tcf(c_6112,plain,
    ! [X0_iProver_sK5_1: iProver_sK5_1] :
      ( ~ occurrence_of(sK11(sK14),tptp3)
      | ~ leaf(sK13(X0_iProver_sK5_1),tptp0)
      | ~ occurrence_of(sK13(X0_iProver_sK5_1),tptp1)
      | ~ next_subocc(sK14,sK11(sK14),tptp0)
      | ~ min_precedes(sK11(sK14),sK13(X0_iProver_sK5_1),tptp0) ),
    inference(instantiation,[status(thm)],[c_5981]) ).

tcf(c_6113,plain,
    ( ~ leaf(sK13(sK14),tptp0)
    | ~ occurrence_of(sK13(sK14),tptp1)
    | ~ occurrence_of(sK11(sK14),tptp3)
    | ~ next_subocc(sK14,sK11(sK14),tptp0)
    | ~ min_precedes(sK11(sK14),sK13(sK14),tptp0) ),
    inference(instantiation,[status(thm)],[c_6112]) ).

tcf(c_6134,plain,
    ( leaf_occ(sK14,sK15)
    | next_subocc(sK14,sK11(sK14),tptp0)
    | ~ arboreal(sK14)
    | ~ subactivity_occurrence(sK14,sK15)
    | ~ occurrence_of(sK15,tptp0) ),
    inference(instantiation,[status(thm)],[c_5926]) ).

tcf(c_6207,plain,
    ! [X0_iProver_sK5_1: iProver_sK5_1,X0_iProver_atomic_1: iProver_atomic_1,X1_iProver_sK5_1: iProver_sK5_1,X2_iProver_sK5_1: iProver_sK5_1] :
      ( min_precedes(X2_iProver_sK5_1,sK13(X0_iProver_sK5_1),X0_iProver_atomic_1)
      | min_precedes(sK13(X0_iProver_sK5_1),X2_iProver_sK5_1,X0_iProver_atomic_1)
      | ( sK13(X0_iProver_sK5_1) = X2_iProver_sK5_1 )
      | ~ arboreal(X2_iProver_sK5_1)
      | ~ arboreal(sK13(X0_iProver_sK5_1))
      | ~ subactivity_occurrence(X2_iProver_sK5_1,X1_iProver_sK5_1)
      | ~ occurrence_of(X1_iProver_sK5_1,X0_iProver_atomic_1)
      | ~ subactivity_occurrence(sK13(X0_iProver_sK5_1),X1_iProver_sK5_1) ),
    inference(instantiation,[status(thm)],[c_4724]) ).

tcf(c_6316,plain,
    ( min_precedes(sK14,sK11(sK14),tptp0)
    | ~ next_subocc(sK14,sK11(sK14),tptp0) ),
    inference(instantiation,[status(thm)],[c_4687]) ).

tcf(c_6346,plain,
    ! [X0_iProver_sK5_1: iProver_sK5_1] :
      ( atomic(tptp0)
      | leaf_occ(sK13(X0_iProver_sK5_1),sK3(sK13(X0_iProver_sK5_1),tptp0))
      | ~ leaf(sK13(X0_iProver_sK5_1),tptp0) ),
    inference(instantiation,[status(thm)],[c_4719]) ).

tcf(c_6347,plain,
    ( atomic(tptp0)
    | leaf_occ(sK13(sK14),sK3(sK13(sK14),tptp0))
    | ~ leaf(sK13(sK14),tptp0) ),
    inference(instantiation,[status(thm)],[c_6346]) ).

tcf(c_6351,plain,
    ! [X0_iProver_sK5_1: iProver_sK5_1] :
      ( atomic(tptp0)
      | occurrence_of(sK3(sK13(X0_iProver_sK5_1),tptp0),tptp0)
      | ~ leaf(sK13(X0_iProver_sK5_1),tptp0) ),
    inference(instantiation,[status(thm)],[c_4720]) ).

tcf(c_6352,plain,
    ( atomic(tptp0)
    | occurrence_of(sK3(sK13(sK14),tptp0),tptp0)
    | ~ leaf(sK13(sK14),tptp0) ),
    inference(instantiation,[status(thm)],[c_6351]) ).

tcf(c_6370,plain,
    ! [X0_iProver_sK5_1: iProver_sK5_1] :
      ( leaf_occ(X0_iProver_sK5_1,sK15)
      | next_subocc(sK12(X0_iProver_sK5_1),sK13(X0_iProver_sK5_1),tptp0)
      | ~ arboreal(X0_iProver_sK5_1)
      | ~ occurrence_of(sK15,tptp0)
      | ~ subactivity_occurrence(X0_iProver_sK5_1,sK15) ),
    inference(instantiation,[status(thm)],[c_4675]) ).

tcf(c_6371,plain,
    ( leaf_occ(sK14,sK15)
    | next_subocc(sK12(sK14),sK13(sK14),tptp0)
    | ~ arboreal(sK14)
    | ~ subactivity_occurrence(sK14,sK15)
    | ~ occurrence_of(sK15,tptp0) ),
    inference(instantiation,[status(thm)],[c_6370]) ).

tcf(c_6372,plain,
    ! [X0_iProver_sK5_1: iProver_sK5_1] :
      ( leaf_occ(X0_iProver_sK5_1,sK15)
      | next_subocc(sK11(X0_iProver_sK5_1),sK12(X0_iProver_sK5_1),tptp0)
      | ~ arboreal(X0_iProver_sK5_1)
      | ~ occurrence_of(sK15,tptp0)
      | ~ subactivity_occurrence(X0_iProver_sK5_1,sK15) ),
    inference(instantiation,[status(thm)],[c_4677]) ).

tcf(c_6373,plain,
    ( leaf_occ(sK14,sK15)
    | next_subocc(sK11(sK14),sK12(sK14),tptp0)
    | ~ arboreal(sK14)
    | ~ subactivity_occurrence(sK14,sK15)
    | ~ occurrence_of(sK15,tptp0) ),
    inference(instantiation,[status(thm)],[c_6372]) ).

tcf(c_6793,plain,
    ! [X0_iProver_sK5_1: iProver_sK5_1,X1_iProver_sK5_1: iProver_sK5_1,X2_iProver_sK5_1: iProver_sK5_1] :
      ( ~ min_precedes(X0_iProver_sK5_1,X2_iProver_sK5_1,tptp0)
      | ~ occurrence_of(sK3(sK13(X1_iProver_sK5_1),tptp0),tptp0)
      | ~ leaf_occ(X0_iProver_sK5_1,sK3(sK13(X1_iProver_sK5_1),tptp0)) ),
    inference(instantiation,[status(thm)],[c_4717]) ).

tcf(c_6813,plain,
    ! [X0_iProver_sK5_1: iProver_sK5_1] :
      ( subactivity_occurrence(sK13(X0_iProver_sK5_1),sK3(sK13(X0_iProver_sK5_1),tptp0))
      | ~ leaf_occ(sK13(X0_iProver_sK5_1),sK3(sK13(X0_iProver_sK5_1),tptp0)) ),
    inference(instantiation,[status(thm)],[c_4702]) ).

tcf(c_6818,plain,
    ( subactivity_occurrence(sK13(sK14),sK3(sK13(sK14),tptp0))
    | ~ leaf_occ(sK13(sK14),sK3(sK13(sK14),tptp0)) ),
    inference(instantiation,[status(thm)],[c_6813]) ).

tcf(c_6830,plain,
    ! [X0_iProver_sK5_1: iProver_sK5_1,X0_iProver_atomic_1: iProver_atomic_1,X1_iProver_sK5_1: iProver_sK5_1] :
      ( min_precedes(X1_iProver_sK5_1,sK13(X0_iProver_sK5_1),X0_iProver_atomic_1)
      | ( X1_iProver_sK5_1 = sK13(X0_iProver_sK5_1) )
      | ~ arboreal(X1_iProver_sK5_1)
      | ~ subactivity_occurrence(X1_iProver_sK5_1,sK3(sK13(X0_iProver_sK5_1),tptp0))
      | ~ occurrence_of(sK3(sK13(X0_iProver_sK5_1),tptp0),X0_iProver_atomic_1)
      | ~ leaf_occ(sK13(X0_iProver_sK5_1),sK3(sK13(X0_iProver_sK5_1),tptp0)) ),
    inference(instantiation,[status(thm)],[c_6080]) ).

tcf(c_6831,plain,
    ( min_precedes(sK14,sK13(sK14),tptp0)
    | ( sK14 = sK13(sK14) )
    | ~ arboreal(sK14)
    | ~ subactivity_occurrence(sK14,sK3(sK13(sK14),tptp0))
    | ~ occurrence_of(sK3(sK13(sK14),tptp0),tptp0)
    | ~ leaf_occ(sK13(sK14),sK3(sK13(sK14),tptp0)) ),
    inference(instantiation,[status(thm)],[c_6830]) ).

tcf(c_6865,plain,
    ! [X0_iProver_sK5_1: iProver_sK5_1,X0_iProver_atomic_1: iProver_atomic_1,X1_iProver_atomic_1: iProver_atomic_1] :
      ( min_precedes(X0_iProver_sK5_1,sK13(sK14),X1_iProver_atomic_1)
      | ( X0_iProver_sK5_1 = sK13(sK14) )
      | ~ arboreal(X0_iProver_sK5_1)
      | ~ subactivity_occurrence(X0_iProver_sK5_1,sK3(sK13(sK14),X0_iProver_atomic_1))
      | ~ occurrence_of(sK3(sK13(sK14),X0_iProver_atomic_1),X1_iProver_atomic_1)
      | ~ leaf_occ(sK13(sK14),sK3(sK13(sK14),X0_iProver_atomic_1)) ),
    inference(instantiation,[status(thm)],[c_6080]) ).

tcf(c_6928,plain,
    ! [X0_iProver_sK5_1: iProver_sK5_1] :
      ( min_precedes(sK12(X0_iProver_sK5_1),sK13(X0_iProver_sK5_1),tptp0)
      | ~ next_subocc(sK12(X0_iProver_sK5_1),sK13(X0_iProver_sK5_1),tptp0) ),
    inference(instantiation,[status(thm)],[c_4687]) ).

tcf(c_6929,plain,
    ( min_precedes(sK12(sK14),sK13(sK14),tptp0)
    | ~ next_subocc(sK12(sK14),sK13(sK14),tptp0) ),
    inference(instantiation,[status(thm)],[c_6928]) ).

tcf(c_6937,plain,
    ! [X0_iProver_sK5_1: iProver_sK5_1,X1_iProver_sK5_1: iProver_sK5_1] :
      ( ~ min_precedes(X1_iProver_sK5_1,sK13(X0_iProver_sK5_1),tptp0)
      | ~ min_precedes(sK12(X0_iProver_sK5_1),X1_iProver_sK5_1,tptp0)
      | ~ next_subocc(sK12(X0_iProver_sK5_1),sK13(X0_iProver_sK5_1),tptp0) ),
    inference(instantiation,[status(thm)],[c_4686]) ).

tcf(c_6938,plain,
    ( ~ min_precedes(sK14,sK13(sK14),tptp0)
    | ~ min_precedes(sK12(sK14),sK14,tptp0)
    | ~ next_subocc(sK12(sK14),sK13(sK14),tptp0) ),
    inference(instantiation,[status(thm)],[c_6937]) ).

tcf(c_6949,plain,
    ! [X0_iProver_sK5_1: iProver_sK5_1,X1_iProver_sK5_1: iProver_sK5_1] :
      ( ( sK14 = sK12(X0_iProver_sK5_1) )
      | ( sK14 != X1_iProver_sK5_1 )
      | ( sK12(X0_iProver_sK5_1) != X1_iProver_sK5_1 ) ),
    inference(instantiation,[status(thm)],[c_4733]) ).

tcf(c_6950,plain,
    ( ( sK14 = sK12(sK14) )
    | ( sK14 != sK14 )
    | ( sK12(sK14) != sK14 ) ),
    inference(instantiation,[status(thm)],[c_6949]) ).

tcf(c_6955,plain,
    ! [X0_iProver_sK5_1: iProver_sK5_1] :
      ( min_precedes(sK11(X0_iProver_sK5_1),sK12(X0_iProver_sK5_1),tptp0)
      | ~ next_subocc(sK11(X0_iProver_sK5_1),sK12(X0_iProver_sK5_1),tptp0) ),
    inference(instantiation,[status(thm)],[c_4687]) ).

tcf(c_6956,plain,
    ( min_precedes(sK11(sK14),sK12(sK14),tptp0)
    | ~ next_subocc(sK11(sK14),sK12(sK14),tptp0) ),
    inference(instantiation,[status(thm)],[c_6955]) ).

tcf(c_6957,plain,
    ! [X0_iProver_sK5_1: iProver_sK5_1,X1_iProver_sK5_1: iProver_sK5_1] :
      ( next_subocc(sK13(sK14),X1_iProver_sK5_1,tptp0)
      | ~ next_subocc(sK11(X0_iProver_sK5_1),sK12(X0_iProver_sK5_1),tptp0)
      | ( tptp0 != tptp0 )
      | ( X1_iProver_sK5_1 != sK12(X0_iProver_sK5_1) )
      | ( sK13(sK14) != sK11(X0_iProver_sK5_1) ) ),
    inference(instantiation,[status(thm)],[c_5934]) ).

tcf(c_6958,plain,
    ( next_subocc(sK13(sK14),sK14,tptp0)
    | ~ next_subocc(sK11(sK14),sK12(sK14),tptp0)
    | ( sK14 != sK12(sK14) )
    | ( tptp0 != tptp0 )
    | ( sK13(sK14) != sK11(sK14) ) ),
    inference(instantiation,[status(thm)],[c_6957]) ).

tcf(c_6987,plain,
    ! [X0_iProver_sK5_1: iProver_sK5_1,X0_iProver_atomic_1: iProver_atomic_1,X1_iProver_sK5_1: iProver_sK5_1] :
      ( arboreal(sK11(X1_iProver_sK5_1))
      | ~ next_subocc(X0_iProver_sK5_1,sK11(X1_iProver_sK5_1),X0_iProver_atomic_1) ),
    inference(instantiation,[status(thm)],[c_4690]) ).

tcf(c_6988,plain,
    ( arboreal(sK11(sK14))
    | ~ next_subocc(sK14,sK11(sK14),tptp0) ),
    inference(instantiation,[status(thm)],[c_6987]) ).

tcf(c_7471,plain,
    ! [X0_iProver_sK5_1: iProver_sK5_1,X0_iProver_atomic_1: iProver_atomic_1,X1_iProver_sK5_1: iProver_sK5_1,X2_iProver_sK5_1: iProver_sK5_1] :
      ( min_precedes(X2_iProver_sK5_1,sK12(X0_iProver_sK5_1),X0_iProver_atomic_1)
      | min_precedes(sK12(X0_iProver_sK5_1),X2_iProver_sK5_1,X0_iProver_atomic_1)
      | ( sK12(X0_iProver_sK5_1) = X2_iProver_sK5_1 )
      | ~ arboreal(X2_iProver_sK5_1)
      | ~ arboreal(sK12(X0_iProver_sK5_1))
      | ~ subactivity_occurrence(X2_iProver_sK5_1,X1_iProver_sK5_1)
      | ~ occurrence_of(X1_iProver_sK5_1,X0_iProver_atomic_1)
      | ~ subactivity_occurrence(sK12(X0_iProver_sK5_1),X1_iProver_sK5_1) ),
    inference(instantiation,[status(thm)],[c_4724]) ).

tcf(c_7695,plain,
    ! [X0_iProver_sK5_1: iProver_sK5_1,X0_iProver_atomic_1: iProver_atomic_1,X1_iProver_atomic_1: iProver_atomic_1] :
      ( min_precedes(X0_iProver_sK5_1,sK13(sK14),X1_iProver_atomic_1)
      | min_precedes(sK13(sK14),X0_iProver_sK5_1,X1_iProver_atomic_1)
      | ( sK13(sK14) = X0_iProver_sK5_1 )
      | ~ arboreal(X0_iProver_sK5_1)
      | ~ arboreal(sK13(sK14))
      | ~ subactivity_occurrence(X0_iProver_sK5_1,sK3(sK13(sK14),X0_iProver_atomic_1))
      | ~ occurrence_of(sK3(sK13(sK14),X0_iProver_atomic_1),X1_iProver_atomic_1)
      | ~ subactivity_occurrence(sK13(sK14),sK3(sK13(sK14),X0_iProver_atomic_1)) ),
    inference(instantiation,[status(thm)],[c_6207]) ).

tcf(c_8180,plain,
    ( occurrence_of(sK12(sK14),tptp4)
    | ~ arboreal(sK14)
    | ~ subactivity_occurrence(sK14,sK15)
    | ~ occurrence_of(sK15,tptp0) ),
    inference(superposition,[status(thm)],[c_4678,c_4657]) ).

tcf(c_8261,plain,
    ! [X0_iProver_sK5_1: iProver_sK5_1,X1_iProver_sK5_1: iProver_sK5_1] :
      ( subactivity_occurrence(sK12(X0_iProver_sK5_1),X1_iProver_sK5_1)
      | ~ occurrence_of(X1_iProver_sK5_1,tptp0)
      | ~ subactivity_occurrence(sK13(X0_iProver_sK5_1),X1_iProver_sK5_1)
      | ~ min_precedes(sK12(X0_iProver_sK5_1),sK13(X0_iProver_sK5_1),tptp0) ),
    inference(instantiation,[status(thm)],[c_4685]) ).

tcf(c_8289,plain,
    ! [X0_iProver_sK5_1: iProver_sK5_1,X1_iProver_sK5_1: iProver_sK5_1] :
      ( ~ next_subocc(X1_iProver_sK5_1,sK13(X0_iProver_sK5_1),tptp0)
      | ~ min_precedes(X1_iProver_sK5_1,sK12(X0_iProver_sK5_1),tptp0)
      | ~ min_precedes(sK12(X0_iProver_sK5_1),sK13(X0_iProver_sK5_1),tptp0) ),
    inference(instantiation,[status(thm)],[c_4686]) ).

tcf(c_8290,plain,
    ( ~ next_subocc(sK14,sK13(sK14),tptp0)
    | ~ min_precedes(sK14,sK12(sK14),tptp0)
    | ~ min_precedes(sK12(sK14),sK13(sK14),tptp0) ),
    inference(instantiation,[status(thm)],[c_8289]) ).

tcf(c_8340,plain,
    ! [X0_iProver_sK5_1: iProver_sK5_1] :
      ( occurrence_of(sK2(tptp0,sK11(X0_iProver_sK5_1),sK12(X0_iProver_sK5_1)),tptp0)
      | ~ min_precedes(sK11(X0_iProver_sK5_1),sK12(X0_iProver_sK5_1),tptp0) ),
    inference(instantiation,[status(thm)],[c_5990]) ).

tcf(c_8341,plain,
    ( occurrence_of(sK2(tptp0,sK11(sK14),sK12(sK14)),tptp0)
    | ~ min_precedes(sK11(sK14),sK12(sK14),tptp0) ),
    inference(instantiation,[status(thm)],[c_8340]) ).

tcf(c_8349,plain,
    ! [X0_iProver_sK5_1: iProver_sK5_1] :
      ( subactivity_occurrence(sK11(X0_iProver_sK5_1),sK2(tptp0,sK11(X0_iProver_sK5_1),sK12(X0_iProver_sK5_1)))
      | ~ min_precedes(sK11(X0_iProver_sK5_1),sK12(X0_iProver_sK5_1),tptp0) ),
    inference(instantiation,[status(thm)],[c_4722]) ).

tcf(c_8350,plain,
    ! [X0_iProver_sK5_1: iProver_sK5_1] :
      ( subactivity_occurrence(sK12(X0_iProver_sK5_1),sK2(tptp0,sK11(X0_iProver_sK5_1),sK12(X0_iProver_sK5_1)))
      | ~ min_precedes(sK11(X0_iProver_sK5_1),sK12(X0_iProver_sK5_1),tptp0) ),
    inference(instantiation,[status(thm)],[c_4721]) ).

tcf(c_8351,plain,
    ! [X0_iProver_sK5_1: iProver_sK5_1,X1_iProver_sK5_1: iProver_sK5_1] :
      ( subactivity_occurrence(sK11(X0_iProver_sK5_1),X1_iProver_sK5_1)
      | ~ occurrence_of(X1_iProver_sK5_1,tptp0)
      | ~ subactivity_occurrence(sK12(X0_iProver_sK5_1),X1_iProver_sK5_1)
      | ~ min_precedes(sK11(X0_iProver_sK5_1),sK12(X0_iProver_sK5_1),tptp0) ),
    inference(instantiation,[status(thm)],[c_4685]) ).

tcf(c_8353,plain,
    ( subactivity_occurrence(sK12(sK14),sK2(tptp0,sK11(sK14),sK12(sK14)))
    | ~ min_precedes(sK11(sK14),sK12(sK14),tptp0) ),
    inference(instantiation,[status(thm)],[c_8350]) ).

tcf(c_8354,plain,
    ( subactivity_occurrence(sK11(sK14),sK2(tptp0,sK11(sK14),sK12(sK14)))
    | ~ min_precedes(sK11(sK14),sK12(sK14),tptp0) ),
    inference(instantiation,[status(thm)],[c_8349]) ).

tcf(c_8465,plain,
    ! [X0_iProver_sK5_1: iProver_sK5_1,X1_iProver_sK5_1: iProver_sK5_1] :
      ( subactivity_occurrence(X0_iProver_sK5_1,X1_iProver_sK5_1)
      | ~ occurrence_of(X1_iProver_sK5_1,tptp0)
      | ~ subactivity_occurrence(sK11(X0_iProver_sK5_1),X1_iProver_sK5_1)
      | ~ min_precedes(X0_iProver_sK5_1,sK11(X0_iProver_sK5_1),tptp0) ),
    inference(instantiation,[status(thm)],[c_4685]) ).

tcf(c_8531,plain,
    ! [X0_iProver_sK5_1: iProver_sK5_1,X1_iProver_sK5_1: iProver_sK5_1] :
      ( ~ min_precedes(sK13(X0_iProver_sK5_1),X1_iProver_sK5_1,tptp0)
      | ~ occurrence_of(sK3(sK13(X0_iProver_sK5_1),tptp0),tptp0)
      | ~ leaf_occ(sK13(X0_iProver_sK5_1),sK3(sK13(X0_iProver_sK5_1),tptp0)) ),
    inference(instantiation,[status(thm)],[c_6793]) ).

tcf(c_8933,plain,
    occurrence_of(sK12(sK14),tptp4),
    inference(global_subsumption_just,[status(thm)],[c_8180,c_123,c_122,c_121,c_124,c_5800]) ).

tcf(c_8938,plain,
    ( arboreal(sK12(sK14))
    | ~ atomic(tptp4) ),
    inference(superposition,[status(thm)],[c_8933,c_4707]) ).

tcf(c_10587,plain,
    ( occurrence_of(sK13(sK14),tptp1)
    | occurrence_of(sK13(sK14),tptp2)
    | ~ arboreal(sK14)
    | ~ subactivity_occurrence(sK14,sK15)
    | ~ occurrence_of(sK15,tptp0) ),
    inference(superposition,[status(thm)],[c_4676,c_4657]) ).

tcf(c_11292,plain,
    ( occurrence_of(sK13(sK14),tptp1)
    | occurrence_of(sK13(sK14),tptp2) ),
    inference(global_subsumption_just,[status(thm)],[c_10587,c_123,c_122,c_121,c_10587]) ).

tcf(c_13286,plain,
    ! [X0_iProver_sK5_1: iProver_sK5_1,X0_iProver_atomic_1: iProver_atomic_1,X1_iProver_sK5_1: iProver_sK5_1] :
      ( min_precedes(X1_iProver_sK5_1,sK12(X0_iProver_sK5_1),X0_iProver_atomic_1)
      | min_precedes(sK12(X0_iProver_sK5_1),X1_iProver_sK5_1,X0_iProver_atomic_1)
      | ( sK12(X0_iProver_sK5_1) = X1_iProver_sK5_1 )
      | ~ arboreal(X1_iProver_sK5_1)
      | ~ arboreal(sK12(X0_iProver_sK5_1))
      | ~ subactivity_occurrence(X1_iProver_sK5_1,sK2(tptp0,sK11(X0_iProver_sK5_1),sK12(X0_iProver_sK5_1)))
      | ~ occurrence_of(sK2(tptp0,sK11(X0_iProver_sK5_1),sK12(X0_iProver_sK5_1)),X0_iProver_atomic_1)
      | ~ subactivity_occurrence(sK12(X0_iProver_sK5_1),sK2(tptp0,sK11(X0_iProver_sK5_1),sK12(X0_iProver_sK5_1))) ),
    inference(instantiation,[status(thm)],[c_7471]) ).

tcf(c_13287,plain,
    ( min_precedes(sK14,sK12(sK14),tptp0)
    | min_precedes(sK12(sK14),sK14,tptp0)
    | ( sK12(sK14) = sK14 )
    | ~ arboreal(sK14)
    | ~ arboreal(sK12(sK14))
    | ~ subactivity_occurrence(sK14,sK2(tptp0,sK11(sK14),sK12(sK14)))
    | ~ occurrence_of(sK2(tptp0,sK11(sK14),sK12(sK14)),tptp0)
    | ~ subactivity_occurrence(sK12(sK14),sK2(tptp0,sK11(sK14),sK12(sK14))) ),
    inference(instantiation,[status(thm)],[c_13286]) ).

tcf(c_13332,plain,
    ! [X0_iProver_sK5_1: iProver_sK5_1] :
      ( ~ min_precedes(sK13(X0_iProver_sK5_1),sK11(sK14),tptp0)
      | ~ occurrence_of(sK3(sK13(X0_iProver_sK5_1),tptp0),tptp0)
      | ~ leaf_occ(sK13(X0_iProver_sK5_1),sK3(sK13(X0_iProver_sK5_1),tptp0)) ),
    inference(instantiation,[status(thm)],[c_8531]) ).

tcf(c_13333,plain,
    ( ~ min_precedes(sK13(sK14),sK11(sK14),tptp0)
    | ~ occurrence_of(sK3(sK13(sK14),tptp0),tptp0)
    | ~ leaf_occ(sK13(sK14),sK3(sK13(sK14),tptp0)) ),
    inference(instantiation,[status(thm)],[c_13332]) ).

tcf(c_13994,plain,
    ! [X0_iProver_sK5_1: iProver_sK5_1] :
      ( subactivity_occurrence(sK12(X0_iProver_sK5_1),sK3(sK13(X0_iProver_sK5_1),tptp0))
      | ~ occurrence_of(sK3(sK13(X0_iProver_sK5_1),tptp0),tptp0)
      | ~ min_precedes(sK12(X0_iProver_sK5_1),sK13(X0_iProver_sK5_1),tptp0)
      | ~ subactivity_occurrence(sK13(X0_iProver_sK5_1),sK3(sK13(X0_iProver_sK5_1),tptp0)) ),
    inference(instantiation,[status(thm)],[c_8261]) ).

tcf(c_13995,plain,
    ( subactivity_occurrence(sK12(sK14),sK3(sK13(sK14),tptp0))
    | ~ min_precedes(sK12(sK14),sK13(sK14),tptp0)
    | ~ occurrence_of(sK3(sK13(sK14),tptp0),tptp0)
    | ~ subactivity_occurrence(sK13(sK14),sK3(sK13(sK14),tptp0)) ),
    inference(instantiation,[status(thm)],[c_13994]) ).

tcf(c_14107,plain,
    ! [X0_iProver_sK5_1: iProver_sK5_1] :
      ( subactivity_occurrence(X0_iProver_sK5_1,sK2(tptp0,sK11(X0_iProver_sK5_1),sK12(X0_iProver_sK5_1)))
      | ~ min_precedes(X0_iProver_sK5_1,sK11(X0_iProver_sK5_1),tptp0)
      | ~ occurrence_of(sK2(tptp0,sK11(X0_iProver_sK5_1),sK12(X0_iProver_sK5_1)),tptp0)
      | ~ subactivity_occurrence(sK11(X0_iProver_sK5_1),sK2(tptp0,sK11(X0_iProver_sK5_1),sK12(X0_iProver_sK5_1))) ),
    inference(instantiation,[status(thm)],[c_8465]) ).

tcf(c_14108,plain,
    ( subactivity_occurrence(sK14,sK2(tptp0,sK11(sK14),sK12(sK14)))
    | ~ min_precedes(sK14,sK11(sK14),tptp0)
    | ~ occurrence_of(sK2(tptp0,sK11(sK14),sK12(sK14)),tptp0)
    | ~ subactivity_occurrence(sK11(sK14),sK2(tptp0,sK11(sK14),sK12(sK14))) ),
    inference(instantiation,[status(thm)],[c_14107]) ).

tcf(c_15448,plain,
    ( occurrence_of(sK11(sK14),tptp3)
    | ~ arboreal(sK14)
    | ~ subactivity_occurrence(sK14,sK15)
    | ~ occurrence_of(sK15,tptp0) ),
    inference(superposition,[status(thm)],[c_4680,c_4657]) ).

tcf(c_15499,plain,
    occurrence_of(sK11(sK14),tptp3),
    inference(global_subsumption_just,[status(thm)],[c_15448,c_123,c_122,c_121,c_124,c_5801]) ).

tcf(c_15517,plain,
    ( next_subocc(sK14,sK11(sK14),tptp0)
    | ~ arboreal(sK14)
    | ~ subactivity_occurrence(sK14,sK15)
    | ~ occurrence_of(sK15,tptp0) ),
    inference(superposition,[status(thm)],[c_4679,c_4657]) ).

tcf(c_15527,plain,
    ( next_subocc(sK12(sK14),sK13(sK14),tptp0)
    | ~ arboreal(sK14)
    | ~ subactivity_occurrence(sK14,sK15)
    | ~ occurrence_of(sK15,tptp0) ),
    inference(superposition,[status(thm)],[c_4675,c_4657]) ).

tcf(c_15561,plain,
    next_subocc(sK14,sK11(sK14),tptp0),
    inference(global_subsumption_just,[status(thm)],[c_15517,c_123,c_122,c_121,c_124,c_6134]) ).

tcf(c_15566,plain,
    next_subocc(sK12(sK14),sK13(sK14),tptp0),
    inference(global_subsumption_just,[status(thm)],[c_15527,c_123,c_122,c_121,c_124,c_6371]) ).

tcf(c_15568,plain,
    min_precedes(sK12(sK14),sK13(sK14),tptp0),
    inference(superposition,[status(thm)],[c_15566,c_4687]) ).

tcf(c_15630,plain,
    ! [X0_iProver_sK5_1: iProver_sK5_1,X1_iProver_sK5_1: iProver_sK5_1] :
      ( min_precedes(X1_iProver_sK5_1,X0_iProver_sK5_1,tptp0)
      | min_precedes(X0_iProver_sK5_1,X1_iProver_sK5_1,tptp0)
      | ( X0_iProver_sK5_1 = X1_iProver_sK5_1 )
      | ~ arboreal(X1_iProver_sK5_1)
      | ~ arboreal(X0_iProver_sK5_1)
      | ~ subactivity_occurrence(X1_iProver_sK5_1,sK15)
      | ~ subactivity_occurrence(X0_iProver_sK5_1,sK15) ),
    inference(superposition,[status(thm)],[c_4660,c_4724]) ).

tcf(c_15760,plain,
    ! [X0_iProver_sK5_1: iProver_sK5_1] :
      ( ~ next_subocc(sK12(sK14),X0_iProver_sK5_1,tptp0)
      | ~ min_precedes(sK13(sK14),X0_iProver_sK5_1,tptp0) ),
    inference(superposition,[status(thm)],[c_15568,c_4686]) ).

tcf(c_17171,plain,
    ! [X0_iProver_sK5_1: iProver_sK5_1] : ~ min_precedes(sK13(sK14),X0_iProver_sK5_1,tptp0),
    inference(global_subsumption_just,[status(thm)],[c_15760,c_123,c_122,c_121,c_124,c_5799,c_5819]) ).

tcf(c_17178,plain,
    ! [X0_iProver_sK5_1: iProver_sK5_1] :
      ( min_precedes(X0_iProver_sK5_1,sK13(sK14),tptp0)
      | ( sK13(sK14) = X0_iProver_sK5_1 )
      | ~ arboreal(X0_iProver_sK5_1)
      | ~ arboreal(sK13(sK14))
      | ~ subactivity_occurrence(X0_iProver_sK5_1,sK15)
      | ~ subactivity_occurrence(sK13(sK14),sK15) ),
    inference(superposition,[status(thm)],[c_15630,c_17171]) ).

tcf(c_17920,plain,
    ! [X0_iProver_atomic_1: iProver_atomic_1] :
      ( subactivity_occurrence(sK11(sK14),sK3(sK13(sK14),X0_iProver_atomic_1))
      | ~ min_precedes(sK11(sK14),sK12(sK14),tptp0)
      | ~ occurrence_of(sK3(sK13(sK14),X0_iProver_atomic_1),tptp0)
      | ~ subactivity_occurrence(sK12(sK14),sK3(sK13(sK14),X0_iProver_atomic_1)) ),
    inference(instantiation,[status(thm)],[c_8351]) ).

tcf(c_17925,plain,
    ( subactivity_occurrence(sK11(sK14),sK3(sK13(sK14),tptp0))
    | ~ min_precedes(sK11(sK14),sK12(sK14),tptp0)
    | ~ occurrence_of(sK3(sK13(sK14),tptp0),tptp0)
    | ~ subactivity_occurrence(sK12(sK14),sK3(sK13(sK14),tptp0)) ),
    inference(instantiation,[status(thm)],[c_17920]) ).

tcf(c_19073,plain,
    ( occurrence_of(sK13(sK14),tptp1)
    | occurrence_of(sK13(sK14),tptp2)
    | ~ arboreal(sK14)
    | ~ subactivity_occurrence(sK14,sK15)
    | ~ occurrence_of(sK15,tptp0) ),
    inference(resolution,[status(thm)],[c_4676,c_4657]) ).

tcf(c_19381,plain,
    ( occurrence_of(sK13(sK14),tptp1)
    | occurrence_of(sK13(sK14),tptp2) ),
    inference(global_subsumption_just,[status(thm)],[c_19073,c_123,c_122,c_121,c_10587]) ).

tcf(c_19396,plain,
    ! [X0_iProver_atomic_1: iProver_atomic_1] :
      ( occurrence_of(sK13(sK14),tptp2)
      | ( X0_iProver_atomic_1 = tptp1 )
      | ~ occurrence_of(sK13(sK14),X0_iProver_atomic_1) ),
    inference(resolution,[status(thm)],[c_19381,c_4718]) ).

tcf(c_22233,plain,
    ( occurrence_of(sK13(sK14),tptp2)
    | ~ occurrence_of(sK13(sK14),tptp3) ),
    inference(resolution,[status(thm)],[c_19396,c_4664]) ).

tcf(c_22643,plain,
    ! [X0_iProver_atomic_1: iProver_atomic_1] :
      ( subactivity_occurrence(sK14,sK3(sK13(sK14),X0_iProver_atomic_1))
      | ~ min_precedes(sK14,sK11(sK14),tptp0)
      | ~ occurrence_of(sK3(sK13(sK14),X0_iProver_atomic_1),tptp0)
      | ~ subactivity_occurrence(sK11(sK14),sK3(sK13(sK14),X0_iProver_atomic_1)) ),
    inference(instantiation,[status(thm)],[c_8465]) ).

tcf(c_22648,plain,
    ( subactivity_occurrence(sK14,sK3(sK13(sK14),tptp0))
    | ~ min_precedes(sK14,sK11(sK14),tptp0)
    | ~ occurrence_of(sK3(sK13(sK14),tptp0),tptp0)
    | ~ subactivity_occurrence(sK11(sK14),sK3(sK13(sK14),tptp0)) ),
    inference(instantiation,[status(thm)],[c_22643]) ).

tcf(c_22655,plain,
    ! [X0_iProver_atomic_1: iProver_atomic_1,X1_iProver_atomic_1: iProver_atomic_1] :
      ( min_precedes(sK13(sK14),sK11(sK14),X1_iProver_atomic_1)
      | min_precedes(sK11(sK14),sK13(sK14),X1_iProver_atomic_1)
      | ( sK13(sK14) = sK11(sK14) )
      | ~ arboreal(sK13(sK14))
      | ~ arboreal(sK11(sK14))
      | ~ occurrence_of(sK3(sK13(sK14),X0_iProver_atomic_1),X1_iProver_atomic_1)
      | ~ subactivity_occurrence(sK13(sK14),sK3(sK13(sK14),X0_iProver_atomic_1))
      | ~ subactivity_occurrence(sK11(sK14),sK3(sK13(sK14),X0_iProver_atomic_1)) ),
    inference(instantiation,[status(thm)],[c_7695]) ).

tcf(c_22656,plain,
    ! [X0_iProver_atomic_1: iProver_atomic_1,X1_iProver_atomic_1: iProver_atomic_1] :
      ( min_precedes(sK11(sK14),sK13(sK14),X1_iProver_atomic_1)
      | ( sK11(sK14) = sK13(sK14) )
      | ~ arboreal(sK11(sK14))
      | ~ occurrence_of(sK3(sK13(sK14),X0_iProver_atomic_1),X1_iProver_atomic_1)
      | ~ leaf_occ(sK13(sK14),sK3(sK13(sK14),X0_iProver_atomic_1))
      | ~ subactivity_occurrence(sK11(sK14),sK3(sK13(sK14),X0_iProver_atomic_1)) ),
    inference(instantiation,[status(thm)],[c_6865]) ).

tcf(c_22657,plain,
    ( min_precedes(sK11(sK14),sK13(sK14),tptp0)
    | ( sK11(sK14) = sK13(sK14) )
    | ~ arboreal(sK11(sK14))
    | ~ occurrence_of(sK3(sK13(sK14),tptp0),tptp0)
    | ~ leaf_occ(sK13(sK14),sK3(sK13(sK14),tptp0))
    | ~ subactivity_occurrence(sK11(sK14),sK3(sK13(sK14),tptp0)) ),
    inference(instantiation,[status(thm)],[c_22656]) ).

tcf(c_22658,plain,
    ( min_precedes(sK13(sK14),sK11(sK14),tptp0)
    | min_precedes(sK11(sK14),sK13(sK14),tptp0)
    | ( sK13(sK14) = sK11(sK14) )
    | ~ arboreal(sK13(sK14))
    | ~ arboreal(sK11(sK14))
    | ~ occurrence_of(sK3(sK13(sK14),tptp0),tptp0)
    | ~ subactivity_occurrence(sK13(sK14),sK3(sK13(sK14),tptp0))
    | ~ subactivity_occurrence(sK11(sK14),sK3(sK13(sK14),tptp0)) ),
    inference(instantiation,[status(thm)],[c_22655]) ).

tcf(c_24567,plain,
    ! [X0_iProver_sK5_1: iProver_sK5_1] :
      ( min_precedes(X0_iProver_sK5_1,sK13(sK14),tptp0)
      | ( sK13(sK14) = X0_iProver_sK5_1 )
      | ~ arboreal(X0_iProver_sK5_1)
      | ~ subactivity_occurrence(sK13(sK14),sK15)
      | ~ subactivity_occurrence(X0_iProver_sK5_1,sK15) ),
    inference(global_subsumption_just,[status(thm)],[c_17178,c_123,c_122,c_121,c_124,c_6053,c_6371,c_17178]) ).

tcf(c_24568,plain,
    ! [X0_iProver_sK5_1: iProver_sK5_1] :
      ( min_precedes(X0_iProver_sK5_1,sK13(sK14),tptp0)
      | ( sK13(sK14) = X0_iProver_sK5_1 )
      | ~ arboreal(X0_iProver_sK5_1)
      | ~ subactivity_occurrence(X0_iProver_sK5_1,sK15)
      | ~ subactivity_occurrence(sK13(sK14),sK15) ),
    inference(renaming,[status(thm)],[c_24567]) ).

tcf(c_24571,plain,
    ! [X0_iProver_sK5_1: iProver_sK5_1] :
      ( ( sK13(sK14) = X0_iProver_sK5_1 )
      | ~ arboreal(X0_iProver_sK5_1)
      | ~ subactivity_occurrence(X0_iProver_sK5_1,sK15)
      | ~ occurrence_of(X0_iProver_sK5_1,tptp3)
      | ~ leaf(sK13(sK14),tptp0)
      | ~ subactivity_occurrence(sK13(sK14),sK15)
      | ~ occurrence_of(sK13(sK14),tptp2)
      | ~ next_subocc(sK14,X0_iProver_sK5_1,tptp0) ),
    inference(superposition,[status(thm)],[c_24568,c_4662]) ).

tcf(c_24572,plain,
    ! [X0_iProver_sK5_1: iProver_sK5_1] :
      ( ( sK13(sK14) = X0_iProver_sK5_1 )
      | ~ arboreal(X0_iProver_sK5_1)
      | ~ subactivity_occurrence(X0_iProver_sK5_1,sK15)
      | ~ occurrence_of(X0_iProver_sK5_1,tptp3)
      | ~ leaf(sK13(sK14),tptp0)
      | ~ subactivity_occurrence(sK13(sK14),sK15)
      | ~ occurrence_of(sK13(sK14),tptp1)
      | ~ next_subocc(sK14,X0_iProver_sK5_1,tptp0) ),
    inference(superposition,[status(thm)],[c_24568,c_4661]) ).

tcf(c_24910,plain,
    ! [X0_iProver_sK5_1: iProver_sK5_1] :
      ( ( sK13(sK14) = X0_iProver_sK5_1 )
      | ~ arboreal(X0_iProver_sK5_1)
      | ~ subactivity_occurrence(X0_iProver_sK5_1,sK15)
      | ~ occurrence_of(X0_iProver_sK5_1,tptp3)
      | ~ next_subocc(sK14,X0_iProver_sK5_1,tptp0)
      | ~ subactivity_occurrence(sK13(sK14),sK15) ),
    inference(global_subsumption_just,[status(thm)],[c_24571,c_123,c_122,c_121,c_124,c_5799,c_11292,c_24572,c_24571]) ).

tcf(c_24911,plain,
    ! [X0_iProver_sK5_1: iProver_sK5_1] :
      ( ( sK13(sK14) = X0_iProver_sK5_1 )
      | ~ arboreal(X0_iProver_sK5_1)
      | ~ subactivity_occurrence(X0_iProver_sK5_1,sK15)
      | ~ occurrence_of(X0_iProver_sK5_1,tptp3)
      | ~ subactivity_occurrence(sK13(sK14),sK15)
      | ~ next_subocc(sK14,X0_iProver_sK5_1,tptp0) ),
    inference(renaming,[status(thm)],[c_24910]) ).

tcf(c_24914,plain,
    ( ( sK11(sK14) = sK13(sK14) )
    | ~ arboreal(sK11(sK14))
    | ~ subactivity_occurrence(sK13(sK14),sK15)
    | ~ subactivity_occurrence(sK11(sK14),sK15)
    | ~ occurrence_of(sK11(sK14),tptp3) ),
    inference(superposition,[status(thm)],[c_15561,c_24911]) ).

tcf(c_24967,plain,
    sK11(sK14) = sK13(sK14),
    inference(global_subsumption_just,[status(thm)],[c_24914,c_123,c_122,c_121,c_108,c_124,c_5801,c_5799,c_5864,c_6113,c_6134,c_6347,c_6352,c_6371,c_6373,c_6818,c_6929,c_6956,c_6988,c_11292,c_13995,c_17925,c_22657]) ).

tcf(c_25020,plain,
    next_subocc(sK14,sK13(sK14),tptp0),
    inference(superposition,[status(thm)],[c_24967,c_15561]) ).

tcf(c_25023,plain,
    occurrence_of(sK13(sK14),tptp3),
    inference(superposition,[status(thm)],[c_24967,c_15499]) ).

tcf(c_25030,plain,
    $false,
    inference(prop_impl_just,[status(thm)],[c_25020,c_25023,c_22658,c_22648,c_22233,c_17925,c_14108,c_13995,c_13333,c_13287,c_8938,c_8354,c_8353,c_8341,c_8290,c_6988,c_6958,c_6956,c_6950,c_6938,c_6929,c_6831,c_6818,c_6373,c_6371,c_6352,c_6347,c_6316,c_6134,c_6053,c_5864,c_5841,c_5835,c_5820,c_5803,c_5799,c_5801,c_4746,c_4745,c_124,c_108,c_121,c_122,c_109,c_123]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : PRO014+4 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04  % Command  : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.12/5.39  % Computer : n016.cluster.edu
% 0.12/5.39  % Model    : x86_64 x86_64
% 0.12/5.39  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/5.39  % Memory   : 8046.5625MB
% 0.12/5.39  % OS       : Linux 6.8.0-71-generic
% 0.12/5.39  % CPULimit : 300
% 0.12/5.39  % WCLimit  : 300
% 0.12/5.39  % DateTime : Thu Sep 24 06:36:19 UTC 2026
% 0.12/5.39  % CPUTime  : 
% 0.12/5.39  Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.16/5.43  Running first-order theorem proving
% 0.16/5.43  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
% 0.16/5.44  
% 0.16/5.44  % ======== iProver multi-core TPTP/SMT =========
% 0.16/5.44  
% 0.16/5.44  % Detected problem language: tptp
% 0.16/5.45  % Proving...
% 14.61/7.84  % SZS status Started for theBenchmark.p
% 14.61/7.84  % SZS status Theorem for theBenchmark.p
% 14.61/7.84  
% 14.61/7.84  %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 14.61/7.84  
% 14.61/7.84  % ------  iProver source info
% 14.61/7.84  
% 14.61/7.84  % git: date: 2026-07-19 20:42:38 +0200
% 14.61/7.84  % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 14.61/7.84  % git: non_committed_changes: false
% 14.61/7.84  
% 14.61/7.84  % ------ Parsing...
% 14.61/7.84  % ------ Clausification by vclausify_rel  & Parsing by iProver...% 
% 14.61/7.84  
% 14.61/7.84  % ------ Preprocessing... sup_sim: 0  sf_s  rm: 1 0s  sf_e  pe_s  pe:1:0s pe_e  sup_sim: 0  sf_s  rm: 2 0s  sf_e  pe_s  pe_e % 
% 14.61/7.84  
% 14.61/7.84  % ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e % 
% 14.61/7.84  
% 14.61/7.84  % ------ Preprocessing... sf_s  rm: 1 0s  sf_e  sf_s  rm: 0 0s  sf_e 
% 14.61/7.84  % ------ Proving...
% 14.61/7.84  % ------ Problem Properties 
% 14.61/7.84  
% 14.61/7.84  % 
% 14.61/7.84  % clauses                               75
% 14.61/7.84  % conjectures                           6
% 14.61/7.84  % EPR                                   49
% 14.61/7.84  % Horn                                  55
% 14.61/7.84  % unary                                 15
% 14.61/7.84  % binary                                25
% 14.61/7.84  % lits                                  208
% 14.61/7.84  % lits eq                               12
% 14.61/7.84  % fd_pure                               0
% 14.61/7.84  % fd_pseudo                             0
% 14.61/7.84  % fd_cond                               0
% 14.61/7.84  % fd_pseudo_cond                        6
% 14.61/7.84  % AC symbols                            0
% 14.61/7.84  
% 14.61/7.84  % ------ Input Options Time Limit: Unbounded
% 14.61/7.84  
% 14.61/7.84  
% 14.61/7.84  % ------ 
% 14.61/7.84  % Current options:
% 14.61/7.84  % ------ 
% 14.61/7.84  
% 14.61/7.84  
% 14.61/7.84  % 
% 14.61/7.84  
% 14.61/7.84  % ------ Proving...
% 14.61/7.84  % 
% 14.61/7.84  
% 14.61/7.84  % SZS status Theorem for theBenchmark.p
% 14.61/7.84  
% 14.61/7.84  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 14.61/7.84  
% 14.61/7.84  
%------------------------------------------------------------------------------