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iProver---3.9.4.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : iProver---3.9.4
% Problem  : PRO018+1 : 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 : n012.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 02:31:39 PM UTC 2026

% Result   : Theorem 201.45s 35.32s
% Output   : CNFRefutation 201.45s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named f101ERROR: Could not build tree for root c_795361ERROR: MakeTreeStats fails)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,axiom,
    ! [X0,X1] :
      ( occurrence_of(X1,X0)
     => ( activity_occurrence(X1)
        & activity(X0) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos) ).

fof(f2,axiom,
    ! [X0] :
      ( activity_occurrence(X0)
     => ? [X1] :
          ( occurrence_of(X0,X1)
          & activity(X1) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_01) ).

fof(f3,axiom,
    ! [X0,X1,X2] :
      ( ( occurrence_of(X0,X2)
        & occurrence_of(X0,X1) )
     => X1 = X2 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_02) ).

fof(f8,axiom,
    ! [X0,X1] :
      ( occurrence_of(X0,X1)
     => ( arboreal(X0)
      <=> atomic(X1) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_07) ).

fof(f12,axiom,
    ! [X0,X1,X2] :
      ( min_precedes(X1,X2,X0)
     => ? [X3,X4] :
          ( atocc(X2,X4)
          & atocc(X1,X3)
          & subactivity(X4,X0)
          & subactivity(X3,X0) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_11) ).

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(f24,axiom,
    ! [X0,X1] :
      ( atocc(X0,X1)
    <=> ? [X2] :
          ( occurrence_of(X0,X2)
          & atomic(X2)
          & subactivity(X1,X2) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_23) ).

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(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(f36,axiom,
    ! [X0,X1] :
      ( ( ~ leaf_occ(X0,X1)
        & arboreal(X0)
        & subactivity_occurrence(X0,X1)
        & occurrence_of(X1,tptp0) )
     => ? [X2,X3,X4] :
          ( ! [X5] :
              ( min_precedes(X2,X5,tptp0)
             => ( X5 = X4
                | X5 = X3 ) )
          & min_precedes(X3,X4,tptp0)
          & ( occurrence_of(X4,tptp2)
            | occurrence_of(X4,tptp1) )
          & min_precedes(X2,X3,tptp0)
          & occurrence_of(X3,tptp4)
          & next_subocc(X0,X2,tptp0)
          & occurrence_of(X2,tptp3) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_35) ).

fof(f42,axiom,
    atomic(tptp3),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_41) ).

fof(f43,axiom,
    tptp4 != tptp3,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_42) ).

fof(f46,axiom,
    tptp3 != tptp1,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_45) ).

fof(f47,axiom,
    tptp3 != tptp2,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_46) ).

fof(f51,plain,
    ! [X0,X1] :
      ( ~ occurrence_of(X1,X0)
      | ( activity_occurrence(X1)
        & activity(X0) ) ),
    inference(ennf_transformation,[],[f1]) ).

fof(f52,plain,
    ! [X0] :
      ( ~ activity_occurrence(X0)
      | ? [X1] :
          ( occurrence_of(X0,X1)
          & activity(X1) ) ),
    inference(ennf_transformation,[],[f2]) ).

fof(f53,plain,
    ! [X0,X1,X2] :
      ( ~ occurrence_of(X0,X2)
      | ~ occurrence_of(X0,X1)
      | X1 = X2 ),
    inference(ennf_transformation,[],[f3]) ).

fof(f54,plain,
    ! [X0,X1,X2] :
      ( ~ occurrence_of(X0,X2)
      | ~ occurrence_of(X0,X1)
      | X1 = X2 ),
    inference(flattening,[],[f53]) ).

fof(f61,plain,
    ! [X0,X1] :
      ( ~ occurrence_of(X0,X1)
      | ( arboreal(X0)
      <=> atomic(X1) ) ),
    inference(ennf_transformation,[],[f8]) ).

fof(f65,plain,
    ! [X0,X1,X2] :
      ( ~ min_precedes(X1,X2,X0)
      | ? [X3,X4] :
          ( atocc(X2,X4)
          & atocc(X1,X3)
          & subactivity(X4,X0)
          & subactivity(X3,X0) ) ),
    inference(ennf_transformation,[],[f12]) ).

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,[],[f22]) ).

fof(f79,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(f81,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(f96,plain,
    ! [X0,X1] :
      ( leaf_occ(X0,X1)
      | ~ arboreal(X0)
      | ~ subactivity_occurrence(X0,X1)
      | ~ occurrence_of(X1,tptp0)
      | ? [X2,X3,X4] :
          ( ! [X5] :
              ( ~ min_precedes(X2,X5,tptp0)
              | X5 = X4
              | X5 = X3 )
          & min_precedes(X3,X4,tptp0)
          & ( occurrence_of(X4,tptp2)
            | occurrence_of(X4,tptp1) )
          & min_precedes(X2,X3,tptp0)
          & occurrence_of(X3,tptp4)
          & next_subocc(X0,X2,tptp0)
          & occurrence_of(X2,tptp3) ) ),
    inference(ennf_transformation,[],[f36]) ).

fof(f97,plain,
    ! [X0,X1] :
      ( leaf_occ(X0,X1)
      | ~ arboreal(X0)
      | ~ subactivity_occurrence(X0,X1)
      | ~ occurrence_of(X1,tptp0)
      | ? [X2,X3,X4] :
          ( ! [X5] :
              ( ~ min_precedes(X2,X5,tptp0)
              | X5 = X4
              | X5 = X3 )
          & min_precedes(X3,X4,tptp0)
          & ( occurrence_of(X4,tptp2)
            | occurrence_of(X4,tptp1) )
          & min_precedes(X2,X3,tptp0)
          & occurrence_of(X3,tptp4)
          & next_subocc(X0,X2,tptp0)
          & occurrence_of(X2,tptp3) ) ),
    inference(flattening,[],[f96]) ).

fof(f102,plain,
    ! [X0] :
      ( ~ activity_occurrence(X0)
      | ( occurrence_of(X0,sK1(X0))
        & activity(sK1(X0)) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK1]),skolemize(X1,sK1(X0))],[f52]) ).

fof(f103,plain,
    ! [X0,X1] :
      ( ~ occurrence_of(X0,X1)
      | ( ( ~ arboreal(X0)
          | atomic(X1) )
        & ( ~ atomic(X1)
          | arboreal(X0) ) ) ),
    inference(nnf_transformation,[],[f61]) ).

fof(f106,plain,
    ! [X0,X1,X2] :
      ( ~ min_precedes(X1,X2,X0)
      | ( atocc(X2,sK3(X0,X1,X2))
        & atocc(X1,sK2(X0,X1,X2))
        & subactivity(sK3(X0,X1,X2),X0)
        & subactivity(sK2(X0,X1,X2),X0) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK2,sK3]),skolemize(X3,sK2(X0,X1,X2)),skolemize(X4,sK3(X0,X1,X2))],[f65]) ).

fof(f109,plain,
    ! [X0,X1] :
      ( ( ~ leaf(X0,X1)
        | ( ! [X3] : ~ min_precedes(X0,X3,X1)
          & ( ? [X2] : min_precedes(X2,X0,X1)
            | root(X0,X1) ) ) )
      & ( ? [X3] : min_precedes(X0,X3,X1)
        | ( ! [X2] : ~ min_precedes(X2,X0,X1)
          & ~ root(X0,X1) )
        | leaf(X0,X1) ) ),
    inference(nnf_transformation,[],[f78]) ).

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

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

fof(f112,plain,
    ! [X0,X1] :
      ( ( ~ leaf(X0,X1)
        | ( ! [X5] : ~ min_precedes(X0,X5,X1)
          & ( min_precedes(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))],[f111]) ).

fof(f113,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,[],[f79]) ).

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

fof(f115,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,[],[f114]) ).

fof(f116,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(sK8(X0,X1,X2),X1,X2)
          & min_precedes(X0,sK8(X0,X1,X2),X2) )
        | ~ min_precedes(X0,X1,X2)
        | next_subocc(X0,X1,X2) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK8]),skolemize(X3,sK8(X0,X1,X2))],[f115]) ).

fof(f117,plain,
    ! [X0,X1] :
      ( ( ~ atocc(X0,X1)
        | ? [X2] :
            ( occurrence_of(X0,X2)
            & atomic(X2)
            & subactivity(X1,X2) ) )
      & ( ! [X2] :
            ( ~ occurrence_of(X0,X2)
            | ~ atomic(X2)
            | ~ subactivity(X1,X2) )
        | atocc(X0,X1) ) ),
    inference(nnf_transformation,[],[f24]) ).

fof(f118,plain,
    ! [X0,X1] :
      ( ( ~ atocc(X0,X1)
        | ? [X3] :
            ( occurrence_of(X0,X3)
            & atomic(X3)
            & subactivity(X1,X3) ) )
      & ( ! [X2] :
            ( ~ occurrence_of(X0,X2)
            | ~ atomic(X2)
            | ~ subactivity(X1,X2) )
        | atocc(X0,X1) ) ),
    inference(rectify,[],[f117]) ).

fof(f119,plain,
    ! [X0,X1] :
      ( ( ~ atocc(X0,X1)
        | ( occurrence_of(X0,sK9(X0,X1))
          & atomic(sK9(X0,X1))
          & subactivity(X1,sK9(X0,X1)) ) )
      & ( ! [X2] :
            ( ~ occurrence_of(X0,X2)
            | ~ atomic(X2)
            | ~ subactivity(X1,X2) )
        | atocc(X0,X1) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK9]),skolemize(X3,sK9(X0,X1))],[f118]) ).

fof(f120,plain,
    ! [X0,X1,X2] :
      ( ~ min_precedes(X1,X2,X0)
      | ( subactivity_occurrence(X2,sK10(X0,X1,X2))
        & subactivity_occurrence(X1,sK10(X0,X1,X2))
        & occurrence_of(sK10(X0,X1,X2),X0) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK10]),skolemize(X3,sK10(X0,X1,X2))],[f81]) ).

fof(f124,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(f125,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,[],[f124]) ).

fof(f126,plain,
    ! [X0,X1] :
      ( ( ~ leaf_occ(X0,X1)
        | ( leaf(X0,sK14(X0,X1))
          & subactivity_occurrence(X0,X1)
          & occurrence_of(X1,sK14(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,[sK14]),skolemize(X3,sK14(X0,X1))],[f125]) ).

fof(f127,plain,
    ! [X0,X1] :
      ( leaf_occ(X0,X1)
      | ~ arboreal(X0)
      | ~ subactivity_occurrence(X0,X1)
      | ~ occurrence_of(X1,tptp0)
      | ( ! [X5] :
            ( ~ min_precedes(sK15(X0),X5,tptp0)
            | sK17(X0) = X5
            | sK16(X0) = X5 )
        & min_precedes(sK16(X0),sK17(X0),tptp0)
        & ( occurrence_of(sK17(X0),tptp2)
          | occurrence_of(sK17(X0),tptp1) )
        & min_precedes(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))],[f97]) ).

fof(f131,plain,
    ( ~ leaf_occ(sK19,sK20)
    & arboreal(sK19)
    & subactivity_occurrence(sK19,sK20)
    & occurrence_of(sK20,tptp0)
    & ! [X2,X3] :
        ( sP0(X2,X3)
        | ( occurrence_of(X3,tptp1)
          & min_precedes(X2,sK21(X2),tptp0)
          & occurrence_of(sK21(X2),tptp2) )
        | ~ leaf_occ(X3,sK20)
        | ~ min_precedes(X2,X3,tptp0)
        | ( ~ occurrence_of(X3,tptp2)
          & ~ occurrence_of(X3,tptp1) )
        | ~ next_subocc(sK19,X2,tptp0)
        | ~ occurrence_of(X2,tptp3) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK19,sK20,sK21]),skolemize(X0,sK19),skolemize(X1,sK20),skolemize(X4,sK21(X2))],[f101]) ).

fof(f132,plain,
    ! [X0,X1] :
      ( ~ occurrence_of(X1,X0)
      | activity_occurrence(X1) ),
    inference(cnf_transformation,[],[f51]) ).

fof(f134,plain,
    ! [X0] :
      ( ~ activity_occurrence(X0)
      | occurrence_of(X0,sK1(X0)) ),
    inference(cnf_transformation,[],[f102]) ).

fof(f136,plain,
    ! [X2,X0,X1] :
      ( ~ occurrence_of(X0,X2)
      | ~ occurrence_of(X0,X1)
      | X1 = X2 ),
    inference(cnf_transformation,[],[f54]) ).

fof(f142,plain,
    ! [X0,X1] :
      ( ~ occurrence_of(X0,X1)
      | ~ atomic(X1)
      | arboreal(X0) ),
    inference(cnf_transformation,[],[f103]) ).

fof(f148,plain,
    ! [X2,X0,X1] :
      ( ~ min_precedes(X1,X2,X0)
      | atocc(X2,sK3(X0,X1,X2)) ),
    inference(cnf_transformation,[],[f106]) ).

fof(f163,plain,
    ! [X0,X1,X5] :
      ( ~ leaf(X0,X1)
      | ~ min_precedes(X0,X5,X1) ),
    inference(cnf_transformation,[],[f112]) ).

fof(f165,plain,
    ! [X2,X0,X1] :
      ( min_precedes(X0,sK6(X0,X1),X1)
      | ~ min_precedes(X2,X0,X1)
      | leaf(X0,X1) ),
    inference(cnf_transformation,[],[f112]) ).

fof(f168,plain,
    ! [X2,X0,X1] :
      ( ~ next_subocc(X0,X1,X2)
      | min_precedes(X0,X1,X2) ),
    inference(cnf_transformation,[],[f116]) ).

fof(f171,plain,
    ! [X0,X1] :
      ( ~ atocc(X0,X1)
      | occurrence_of(X0,sK9(X0,X1)) ),
    inference(cnf_transformation,[],[f119]) ).

fof(f172,plain,
    ! [X0,X1] :
      ( ~ atocc(X0,X1)
      | atomic(sK9(X0,X1)) ),
    inference(cnf_transformation,[],[f119]) ).

fof(f177,plain,
    ! [X2,X0,X1] :
      ( ~ min_precedes(X1,X2,X0)
      | subactivity_occurrence(X2,sK10(X0,X1,X2)) ),
    inference(cnf_transformation,[],[f120]) ).

fof(f179,plain,
    ! [X2,X0,X1] :
      ( ~ min_precedes(X1,X2,X0)
      | occurrence_of(sK10(X0,X1,X2),X0) ),
    inference(cnf_transformation,[],[f120]) ).

fof(f190,plain,
    ! [X0,X1] :
      ( ~ leaf_occ(X0,X1)
      | leaf(X0,sK14(X0,X1)) ),
    inference(cnf_transformation,[],[f126]) ).

fof(f192,plain,
    ! [X0,X1] :
      ( ~ leaf_occ(X0,X1)
      | occurrence_of(X1,sK14(X0,X1)) ),
    inference(cnf_transformation,[],[f126]) ).

fof(f194,plain,
    ! [X0,X1,X5] :
      ( leaf_occ(X0,X1)
      | ~ arboreal(X0)
      | ~ subactivity_occurrence(X0,X1)
      | ~ occurrence_of(X1,tptp0)
      | ~ min_precedes(sK15(X0),X5,tptp0)
      | sK17(X0) = X5
      | sK16(X0) = X5 ),
    inference(cnf_transformation,[],[f127]) ).

fof(f195,plain,
    ! [X0,X1] :
      ( leaf_occ(X0,X1)
      | ~ arboreal(X0)
      | ~ subactivity_occurrence(X0,X1)
      | ~ occurrence_of(X1,tptp0)
      | min_precedes(sK16(X0),sK17(X0),tptp0) ),
    inference(cnf_transformation,[],[f127]) ).

fof(f196,plain,
    ! [X0,X1] :
      ( leaf_occ(X0,X1)
      | ~ arboreal(X0)
      | ~ subactivity_occurrence(X0,X1)
      | ~ occurrence_of(X1,tptp0)
      | occurrence_of(sK17(X0),tptp2)
      | occurrence_of(sK17(X0),tptp1) ),
    inference(cnf_transformation,[],[f127]) ).

fof(f197,plain,
    ! [X0,X1] :
      ( leaf_occ(X0,X1)
      | ~ arboreal(X0)
      | ~ subactivity_occurrence(X0,X1)
      | ~ occurrence_of(X1,tptp0)
      | min_precedes(sK15(X0),sK16(X0),tptp0) ),
    inference(cnf_transformation,[],[f127]) ).

fof(f198,plain,
    ! [X0,X1] :
      ( leaf_occ(X0,X1)
      | ~ arboreal(X0)
      | ~ subactivity_occurrence(X0,X1)
      | ~ occurrence_of(X1,tptp0)
      | occurrence_of(sK16(X0),tptp4) ),
    inference(cnf_transformation,[],[f127]) ).

fof(f199,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,[],[f127]) ).

fof(f200,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,[],[f127]) ).

fof(f206,plain,
    atomic(tptp3),
    inference(cnf_transformation,[],[f42]) ).

fof(f207,plain,
    tptp3 != tptp4,
    inference(cnf_transformation,[],[f43]) ).

fof(f210,plain,
    tptp3 != tptp1,
    inference(cnf_transformation,[],[f46]) ).

fof(f211,plain,
    tptp3 != tptp2,
    inference(cnf_transformation,[],[f47]) ).

fof(f216,plain,
    ~ leaf_occ(sK19,sK20),
    inference(cnf_transformation,[],[f131]) ).

fof(f217,plain,
    arboreal(sK19),
    inference(cnf_transformation,[],[f131]) ).

fof(f218,plain,
    subactivity_occurrence(sK19,sK20),
    inference(cnf_transformation,[],[f131]) ).

fof(f219,plain,
    occurrence_of(sK20,tptp0),
    inference(cnf_transformation,[],[f131]) ).

fof(f225,plain,
    ! [X2,X3] :
      ( sP0(X2,X3)
      | occurrence_of(sK21(X2),tptp2)
      | ~ leaf_occ(X3,sK20)
      | ~ min_precedes(X2,X3,tptp0)
      | ~ occurrence_of(X3,tptp1)
      | ~ next_subocc(sK19,X2,tptp0)
      | ~ occurrence_of(X2,tptp3) ),
    inference(cnf_transformation,[],[f131]) ).

tcf(c_50,plain,
    ! [X0: $i,X1: $i] :
      ( activity_occurrence(X0)
      | ~ occurrence_of(X0,X1) ),
    inference(cnf_transformation,[],[f132]) ).

tcf(c_52,plain,
    ! [X0: $i] :
      ( occurrence_of(X0,sK1(X0))
      | ~ activity_occurrence(X0) ),
    inference(cnf_transformation,[],[f134]) ).

tcf(c_53,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( X1 = X2 )
      | ~ occurrence_of(X0,X2)
      | ~ occurrence_of(X0,X1) ),
    inference(cnf_transformation,[],[f136]) ).

tcf(c_58,plain,
    ! [X0: $i,X1: $i] :
      ( arboreal(X0)
      | ~ atomic(X1)
      | ~ occurrence_of(X0,X1) ),
    inference(cnf_transformation,[],[f142]) ).

tcf(c_68,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( atocc(X1,sK3(X2,X0,X1))
      | ~ min_precedes(X0,X1,X2) ),
    inference(cnf_transformation,[],[f148]) ).

tcf(c_81,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( leaf(X1,X2)
      | min_precedes(X1,sK6(X1,X2),X2)
      | ~ min_precedes(X0,X1,X2) ),
    inference(cnf_transformation,[],[f165]) ).

tcf(c_83,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ leaf(X0,X2)
      | ~ min_precedes(X0,X1,X2) ),
    inference(cnf_transformation,[],[f163]) ).

tcf(c_86,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( min_precedes(X0,X1,X2)
      | ~ next_subocc(X0,X1,X2) ),
    inference(cnf_transformation,[],[f168]) ).

tcf(c_90,plain,
    ! [X0: $i,X1: $i] :
      ( atomic(sK9(X0,X1))
      | ~ atocc(X0,X1) ),
    inference(cnf_transformation,[],[f172]) ).

tcf(c_91,plain,
    ! [X0: $i,X1: $i] :
      ( occurrence_of(X0,sK9(X0,X1))
      | ~ atocc(X0,X1) ),
    inference(cnf_transformation,[],[f171]) ).

tcf(c_94,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( occurrence_of(sK10(X2,X0,X1),X2)
      | ~ min_precedes(X0,X1,X2) ),
    inference(cnf_transformation,[],[f179]) ).

tcf(c_96,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( subactivity_occurrence(X1,sK10(X2,X0,X1))
      | ~ min_precedes(X0,X1,X2) ),
    inference(cnf_transformation,[],[f177]) ).

tcf(c_108,plain,
    ! [X0: $i,X1: $i] :
      ( occurrence_of(X1,sK14(X0,X1))
      | ~ leaf_occ(X0,X1) ),
    inference(cnf_transformation,[],[f192]) ).

tcf(c_110,plain,
    ! [X0: $i,X1: $i] :
      ( leaf(X0,sK14(X0,X1))
      | ~ leaf_occ(X0,X1) ),
    inference(cnf_transformation,[],[f190]) ).

tcf(c_111,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,[],[f200]) ).

tcf(c_112,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,[],[f199]) ).

tcf(c_113,plain,
    ! [X0: $i,X1: $i] :
      ( leaf_occ(X0,X1)
      | occurrence_of(sK16(X0),tptp4)
      | ~ arboreal(X0)
      | ~ occurrence_of(X1,tptp0)
      | ~ subactivity_occurrence(X0,X1) ),
    inference(cnf_transformation,[],[f198]) ).

tcf(c_114,plain,
    ! [X0: $i,X1: $i] :
      ( leaf_occ(X0,X1)
      | min_precedes(sK15(X0),sK16(X0),tptp0)
      | ~ arboreal(X0)
      | ~ occurrence_of(X1,tptp0)
      | ~ subactivity_occurrence(X0,X1) ),
    inference(cnf_transformation,[],[f197]) ).

tcf(c_115,plain,
    ! [X0: $i,X1: $i] :
      ( leaf_occ(X0,X1)
      | occurrence_of(sK17(X0),tptp2)
      | occurrence_of(sK17(X0),tptp1)
      | ~ arboreal(X0)
      | ~ occurrence_of(X1,tptp0)
      | ~ subactivity_occurrence(X0,X1) ),
    inference(cnf_transformation,[],[f196]) ).

tcf(c_116,plain,
    ! [X0: $i,X1: $i] :
      ( leaf_occ(X0,X1)
      | min_precedes(sK16(X0),sK17(X0),tptp0)
      | ~ arboreal(X0)
      | ~ occurrence_of(X1,tptp0)
      | ~ subactivity_occurrence(X0,X1) ),
    inference(cnf_transformation,[],[f195]) ).

tcf(c_117,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( leaf_occ(X0,X2)
      | ( sK17(X0) = X1 )
      | ( sK16(X0) = X1 )
      | ~ arboreal(X0)
      | ~ occurrence_of(X2,tptp0)
      | ~ subactivity_occurrence(X0,X2)
      | ~ min_precedes(sK15(X0),X1,tptp0) ),
    inference(cnf_transformation,[],[f194]) ).

tcf(c_123,plain,
    atomic(tptp3),
    inference(cnf_transformation,[],[f206]) ).

tcf(c_124,plain,
    tptp3 != tptp4,
    inference(cnf_transformation,[],[f207]) ).

tcf(c_127,plain,
    tptp3 != tptp1,
    inference(cnf_transformation,[],[f210]) ).

tcf(c_128,plain,
    tptp3 != tptp2,
    inference(cnf_transformation,[],[f211]) ).

tcf(c_133,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( sP0(X0,X1)
      | occurrence_of(sK21(X0),tptp2)
      | ~ leaf_occ(X1,sK20)
      | ~ occurrence_of(X1,tptp1)
      | ~ occurrence_of(X0,tptp3)
      | ~ next_subocc(sK19,X0,tptp0)
      | ~ min_precedes(X0,X1,tptp0) ),
    inference(cnf_transformation,[],[f225]) ).

tcf(c_138,negated_conjecture,
    occurrence_of(sK20,tptp0),
    inference(cnf_transformation,[],[f219]) ).

tcf(c_139,negated_conjecture,
    subactivity_occurrence(sK19,sK20),
    inference(cnf_transformation,[],[f218]) ).

tcf(c_140,negated_conjecture,
    arboreal(sK19),
    inference(cnf_transformation,[],[f217]) ).

tcf(c_141,negated_conjecture,
    ~ leaf_occ(sK19,sK20),
    inference(cnf_transformation,[],[f216]) ).

tcf(c_5577,plain,
    ! [X0: $i,X1: $i] :
      ( occurrence_of(sK17(X0),tptp2)
      | occurrence_of(sK17(X0),tptp1)
      | ~ arboreal(X0)
      | ~ occurrence_of(X1,tptp0)
      | ~ subactivity_occurrence(X0,X1)
      | ( X1 != sK20 )
      | ( X0 != sK19 ) ),
    inference(resolution_lifted,[status(thm)],[c_115,c_141]) ).

tcf(c_5578,plain,
    ( occurrence_of(sK17(sK19),tptp2)
    | occurrence_of(sK17(sK19),tptp1)
    | ~ arboreal(sK19)
    | ~ subactivity_occurrence(sK19,sK20)
    | ~ occurrence_of(sK20,tptp0) ),
    inference(unflattening,[status(thm)],[c_5577]) ).

tcf(c_5579,plain,
    ( occurrence_of(sK17(sK19),tptp2)
    | occurrence_of(sK17(sK19),tptp1) ),
    inference(global_subsumption_just,[status(thm)],[c_5578,c_140,c_139,c_138,c_5578]) ).

tcf(c_5594,plain,
    ! [X0: $i,X1: $i] :
      ( occurrence_of(sK16(X0),tptp4)
      | ~ arboreal(X0)
      | ~ occurrence_of(X1,tptp0)
      | ~ subactivity_occurrence(X0,X1)
      | ( X1 != sK20 )
      | ( X0 != sK19 ) ),
    inference(resolution_lifted,[status(thm)],[c_113,c_141]) ).

tcf(c_5595,plain,
    ( occurrence_of(sK16(sK19),tptp4)
    | ~ arboreal(sK19)
    | ~ subactivity_occurrence(sK19,sK20)
    | ~ occurrence_of(sK20,tptp0) ),
    inference(unflattening,[status(thm)],[c_5594]) ).

tcf(c_5601,plain,
    ! [X0: $i,X1: $i] :
      ( next_subocc(X0,sK15(X0),tptp0)
      | ~ arboreal(X0)
      | ~ occurrence_of(X1,tptp0)
      | ~ subactivity_occurrence(X0,X1)
      | ( X1 != sK20 )
      | ( X0 != sK19 ) ),
    inference(resolution_lifted,[status(thm)],[c_112,c_141]) ).

tcf(c_5602,plain,
    ( next_subocc(sK19,sK15(sK19),tptp0)
    | ~ arboreal(sK19)
    | ~ subactivity_occurrence(sK19,sK20)
    | ~ occurrence_of(sK20,tptp0) ),
    inference(unflattening,[status(thm)],[c_5601]) ).

tcf(c_5952,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( sK17(X0) = X2 )
      | ( sK16(X0) = X2 )
      | ~ arboreal(X0)
      | ~ occurrence_of(X1,tptp0)
      | ~ subactivity_occurrence(X0,X1)
      | ~ min_precedes(sK15(X0),X2,tptp0)
      | ( X1 != sK20 )
      | ( X0 != sK19 ) ),
    inference(resolution_lifted,[status(thm)],[c_117,c_141]) ).

tcf(c_5953,plain,
    ! [X0: $i] :
      ( ( sK17(sK19) = X0 )
      | ( sK16(sK19) = X0 )
      | ~ arboreal(sK19)
      | ~ subactivity_occurrence(sK19,sK20)
      | ~ occurrence_of(sK20,tptp0)
      | ~ min_precedes(sK15(sK19),X0,tptp0) ),
    inference(unflattening,[status(thm)],[c_5952]) ).

tcf(c_5955,plain,
    ! [X0: $i] :
      ( ( sK17(sK19) = X0 )
      | ( sK16(sK19) = X0 )
      | ~ min_precedes(sK15(sK19),X0,tptp0) ),
    inference(global_subsumption_just,[status(thm)],[c_5953,c_140,c_139,c_138,c_5953]) ).

tcf(c_6433,negated_conjecture,
    ~ leaf_occ(sK19,sK20),
    inference(demodulation,[status(thm)],[c_141]) ).

tcf(c_6434,negated_conjecture,
    arboreal(sK19),
    inference(demodulation,[status(thm)],[c_140]) ).

tcf(c_6435,negated_conjecture,
    subactivity_occurrence(sK19,sK20),
    inference(demodulation,[status(thm)],[c_139]) ).

tcf(c_6436,negated_conjecture,
    occurrence_of(sK20,tptp0),
    inference(demodulation,[status(thm)],[c_138]) ).

tcf(c_6441,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( sP0(X0,X1)
      | occurrence_of(sK21(X0),tptp2)
      | ~ leaf_occ(X1,sK20)
      | ~ occurrence_of(X1,tptp1)
      | ~ occurrence_of(X0,tptp3)
      | ~ next_subocc(sK19,X0,tptp0)
      | ~ min_precedes(X0,X1,tptp0) ),
    inference(demodulation,[status(thm)],[c_133]) ).

tcf(c_6442,plain,
    ! [X0: $i] : X0 = X0,
    theory(equality) ).

tcf(c_6446,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( occurrence_of(X0,X2)
      | ~ occurrence_of(X1,X3)
      | ( X2 != X3 )
      | ( X0 != X1 ) ),
    theory(equality) ).

tcf(c_7872,plain,
    ! [X0: $i,X1: $i] :
      ( ( sK1(X0) = X1 )
      | ~ activity_occurrence(X0)
      | ~ occurrence_of(X0,X1) ),
    inference(superposition,[status(thm)],[c_52,c_53]) ).

tcf(c_7938,plain,
    ! [X0: $i,X1: $i] :
      ( arboreal(X0)
      | ~ atocc(X0,X1)
      | ~ atomic(sK9(X0,X1)) ),
    inference(superposition,[status(thm)],[c_91,c_58]) ).

tcf(c_10175,plain,
    ( occurrence_of(sK15(sK19),tptp3)
    | ~ arboreal(sK19)
    | ~ subactivity_occurrence(sK19,sK20)
    | ~ occurrence_of(sK20,tptp0) ),
    inference(superposition,[status(thm)],[c_111,c_6433]) ).

tcf(c_10191,plain,
    occurrence_of(sK15(sK19),tptp3),
    inference(forward_subsumption_resolution,[status(thm)],[c_10175,c_6434,c_6435,c_6436]) ).

tcf(c_10639,plain,
    ( min_precedes(sK19,sK15(sK19),tptp0)
    | ~ next_subocc(sK19,sK15(sK19),tptp0) ),
    inference(instantiation,[status(thm)],[c_86]) ).

tcf(c_10664,plain,
    ( arboreal(sK15(sK19))
    | ~ atomic(tptp3) ),
    inference(superposition,[status(thm)],[c_10191,c_58]) ).

tcf(c_10667,plain,
    arboreal(sK15(sK19)),
    inference(forward_subsumption_resolution,[status(thm)],[c_10664,c_123]) ).

tcf(c_12220,plain,
    tptp3 = tptp3,
    inference(instantiation,[status(thm)],[c_6442]) ).

tcf(c_13831,plain,
    ( occurrence_of(sK10(tptp0,sK19,sK15(sK19)),tptp0)
    | ~ min_precedes(sK19,sK15(sK19),tptp0) ),
    inference(instantiation,[status(thm)],[c_94]) ).

tcf(c_18056,plain,
    ! [X0: $i] :
      ( leaf_occ(sK15(sK19),X0)
      | next_subocc(sK15(sK19),sK15(sK15(sK19)),tptp0)
      | ~ arboreal(sK15(sK19))
      | ~ occurrence_of(X0,tptp0)
      | ~ subactivity_occurrence(sK15(sK19),X0) ),
    inference(instantiation,[status(thm)],[c_112]) ).

tcf(c_18058,plain,
    ! [X0: $i] :
      ( leaf_occ(sK15(sK19),X0)
      | occurrence_of(sK15(sK15(sK19)),tptp3)
      | ~ arboreal(sK15(sK19))
      | ~ occurrence_of(X0,tptp0)
      | ~ subactivity_occurrence(sK15(sK19),X0) ),
    inference(instantiation,[status(thm)],[c_111]) ).

tcf(c_31756,plain,
    ! [X0: $i,X1: $i] :
      ( ( sK1(X0) = X1 )
      | ~ occurrence_of(X0,X1) ),
    inference(global_subsumption_just,[status(thm)],[c_7872,c_50,c_7872]) ).

tcf(c_56115,plain,
    ( min_precedes(sK15(sK19),sK15(sK15(sK19)),tptp0)
    | ~ next_subocc(sK15(sK19),sK15(sK15(sK19)),tptp0) ),
    inference(instantiation,[status(thm)],[c_86]) ).

tcf(c_63836,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( occurrence_of(X0,tptp3)
      | ~ occurrence_of(X1,X2)
      | ( tptp3 != X2 )
      | ( X0 != X1 ) ),
    inference(instantiation,[status(thm)],[c_6446]) ).

tcf(c_84148,plain,
    ! [X0: $i,X1: $i] :
      ( occurrence_of(X0,tptp3)
      | ~ occurrence_of(X1,tptp3)
      | ( tptp3 != tptp3 )
      | ( X0 != X1 ) ),
    inference(instantiation,[status(thm)],[c_63836]) ).

tcf(c_182330,plain,
    ! [X0: $i] :
      ( ( tptp3 = tptp1 )
      | ~ occurrence_of(X0,tptp1)
      | ~ occurrence_of(X0,tptp3) ),
    inference(instantiation,[status(thm)],[c_53]) ).

tcf(c_182331,plain,
    ! [X0: $i] :
      ( ( tptp3 = tptp2 )
      | ~ occurrence_of(X0,tptp2)
      | ~ occurrence_of(X0,tptp3) ),
    inference(instantiation,[status(thm)],[c_53]) ).

tcf(c_230014,plain,
    ( ( tptp3 = tptp2 )
    | ~ occurrence_of(sK17(sK19),tptp2)
    | ~ occurrence_of(sK17(sK19),tptp3) ),
    inference(instantiation,[status(thm)],[c_182331]) ).

tcf(c_230015,plain,
    ( ( tptp3 = tptp1 )
    | ~ occurrence_of(sK17(sK19),tptp1)
    | ~ occurrence_of(sK17(sK19),tptp3) ),
    inference(instantiation,[status(thm)],[c_182330]) ).

tcf(c_246528,plain,
    ! [X0: $i] :
      ( ( tptp3 = tptp4 )
      | ~ occurrence_of(X0,tptp4)
      | ~ occurrence_of(X0,tptp3) ),
    inference(instantiation,[status(thm)],[c_53]) ).

tcf(c_247737,plain,
    ( ( tptp3 = tptp4 )
    | ~ occurrence_of(sK16(sK19),tptp4)
    | ~ occurrence_of(sK16(sK19),tptp3) ),
    inference(instantiation,[status(thm)],[c_246528]) ).

tcf(c_249051,plain,
    ( min_precedes(sK16(sK19),sK17(sK19),tptp0)
    | ~ arboreal(sK19)
    | ~ subactivity_occurrence(sK19,sK20)
    | ~ occurrence_of(sK20,tptp0) ),
    inference(superposition,[status(thm)],[c_116,c_6433]) ).

tcf(c_249083,plain,
    min_precedes(sK16(sK19),sK17(sK19),tptp0),
    inference(forward_subsumption_resolution,[status(thm)],[c_249051,c_6434,c_6435,c_6436]) ).

tcf(c_249641,plain,
    ( leaf(sK17(sK19),tptp0)
    | min_precedes(sK17(sK19),sK6(sK17(sK19),tptp0),tptp0) ),
    inference(superposition,[status(thm)],[c_249083,c_81]) ).

tcf(c_278092,plain,
    ( leaf(sK17(sK19),tptp0)
    | occurrence_of(sK21(sK17(sK19)),tptp2)
    | sP0(sK17(sK19),sK6(sK17(sK19),tptp0))
    | ~ occurrence_of(sK17(sK19),tptp3)
    | ~ next_subocc(sK19,sK17(sK19),tptp0)
    | ~ leaf_occ(sK6(sK17(sK19),tptp0),sK20)
    | ~ occurrence_of(sK6(sK17(sK19),tptp0),tptp1) ),
    inference(superposition,[status(thm)],[c_249641,c_6441]) ).

tcf(c_278264,plain,
    ~ occurrence_of(sK17(sK19),tptp3),
    inference(global_subsumption_just,[status(thm)],[c_278092,c_128,c_127,c_5579,c_230015,c_230014]) ).

tcf(c_568102,plain,
    ! [X0: $i,X1: $i] :
      ( ( sK1(X0) = X1 )
      | ~ activity_occurrence(X0)
      | ~ occurrence_of(X0,X1) ),
    inference(superposition,[status(thm)],[c_52,c_53]) ).

tcf(c_568521,plain,
    ! [X0: $i,X1: $i] :
      ( arboreal(X0)
      | ~ atocc(X0,X1)
      | ~ atomic(sK9(X0,X1)) ),
    inference(superposition,[status(thm)],[c_91,c_58]) ).

tcf(c_569073,plain,
    ! [X0: $i,X1: $i] :
      ( activity_occurrence(sK15(X0))
      | leaf_occ(X0,X1)
      | ~ arboreal(X0)
      | ~ occurrence_of(X1,tptp0)
      | ~ subactivity_occurrence(X0,X1) ),
    inference(superposition,[status(thm)],[c_111,c_50]) ).

tcf(c_569153,plain,
    ( next_subocc(sK19,sK15(sK19),tptp0)
    | ~ arboreal(sK19)
    | ~ subactivity_occurrence(sK19,sK20)
    | ~ occurrence_of(sK20,tptp0) ),
    inference(superposition,[status(thm)],[c_112,c_6433]) ).

tcf(c_569155,plain,
    next_subocc(sK19,sK15(sK19),tptp0),
    inference(forward_subsumption_resolution,[status(thm)],[c_569153,c_6434,c_6435,c_6436]) ).

tcf(c_569312,plain,
    ( min_precedes(sK15(sK19),sK16(sK19),tptp0)
    | ~ arboreal(sK19)
    | ~ subactivity_occurrence(sK19,sK20)
    | ~ occurrence_of(sK20,tptp0) ),
    inference(superposition,[status(thm)],[c_114,c_6433]) ).

tcf(c_569327,plain,
    min_precedes(sK15(sK19),sK16(sK19),tptp0),
    inference(forward_subsumption_resolution,[status(thm)],[c_569312,c_6434,c_6435,c_6436]) ).

tcf(c_570070,plain,
    ! [X0: $i,X1: $i] :
      ( ( sK1(X0) = X1 )
      | ~ occurrence_of(X0,X1) ),
    inference(global_subsumption_just,[status(thm)],[c_568102,c_31756]) ).

tcf(c_570078,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( sK1(sK10(X2,X0,X1)) = X2 )
      | ~ min_precedes(X0,X1,X2) ),
    inference(superposition,[status(thm)],[c_94,c_570070]) ).

tcf(c_570080,plain,
    ! [X0: $i,X1: $i] :
      ( ( sK14(X0,X1) = sK1(X1) )
      | ~ leaf_occ(X0,X1) ),
    inference(superposition,[status(thm)],[c_108,c_570070]) ).

tcf(c_570127,plain,
    min_precedes(sK19,sK15(sK19),tptp0),
    inference(superposition,[status(thm)],[c_569155,c_86]) ).

tcf(c_570814,plain,
    ~ leaf(sK15(sK19),tptp0),
    inference(superposition,[status(thm)],[c_569327,c_83]) ).

tcf(c_572760,plain,
    ! [X0: $i,X1: $i] :
      ( arboreal(X0)
      | ~ atocc(X0,X1) ),
    inference(global_subsumption_just,[status(thm)],[c_568521,c_90,c_7938]) ).

tcf(c_572767,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( arboreal(X1)
      | ~ min_precedes(X0,X1,X2) ),
    inference(superposition,[status(thm)],[c_68,c_572760]) ).

tcf(c_578422,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( activity_occurrence(sK15(X2))
      | leaf_occ(X2,sK10(X0,X1,X2))
      | ~ arboreal(X2)
      | ~ min_precedes(X1,X2,X0)
      | ~ occurrence_of(sK10(X0,X1,X2),tptp0) ),
    inference(superposition,[status(thm)],[c_96,c_569073]) ).

tcf(c_589285,plain,
    sK1(sK10(tptp0,sK19,sK15(sK19))) = tptp0,
    inference(superposition,[status(thm)],[c_570127,c_570078]) ).

tcf(c_590201,plain,
    ( occurrence_of(sK10(tptp0,sK19,sK15(sK19)),tptp0)
    | ~ activity_occurrence(sK10(tptp0,sK19,sK15(sK19))) ),
    inference(superposition,[status(thm)],[c_589285,c_52]) ).

tcf(c_591858,plain,
    ( leaf_occ(sK19,sK20)
    | next_subocc(sK19,sK15(sK19),tptp0)
    | ~ arboreal(sK19)
    | ~ occurrence_of(sK20,tptp0) ),
    inference(resolution,[status(thm)],[c_112,c_6435]) ).

tcf(c_594747,plain,
    next_subocc(sK19,sK15(sK19),tptp0),
    inference(global_subsumption_just,[status(thm)],[c_591858,c_140,c_139,c_138,c_5602]) ).

tcf(c_594752,plain,
    min_precedes(sK19,sK15(sK19),tptp0),
    inference(resolution,[status(thm)],[c_594747,c_86]) ).

tcf(c_605113,plain,
    subactivity_occurrence(sK15(sK19),sK10(tptp0,sK19,sK15(sK19))),
    inference(resolution,[status(thm)],[c_594752,c_96]) ).

tcf(c_703517,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( activity_occurrence(sK15(X2))
      | leaf_occ(X2,sK10(X0,X1,X2))
      | ~ min_precedes(X1,X2,X0)
      | ~ occurrence_of(sK10(X0,X1,X2),tptp0) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_578422,c_572767]) ).

tcf(c_740760,plain,
    ( next_subocc(sK15(sK19),sK15(sK15(sK19)),tptp0)
    | leaf_occ(sK15(sK19),sK10(tptp0,sK19,sK15(sK19)))
    | ~ arboreal(sK15(sK19))
    | ~ occurrence_of(sK10(tptp0,sK19,sK15(sK19)),tptp0) ),
    inference(resolution,[status(thm)],[c_605113,c_112]) ).

tcf(c_740762,plain,
    ( occurrence_of(sK15(sK15(sK19)),tptp3)
    | leaf_occ(sK15(sK19),sK10(tptp0,sK19,sK15(sK19)))
    | ~ arboreal(sK15(sK19))
    | ~ occurrence_of(sK10(tptp0,sK19,sK15(sK19)),tptp0) ),
    inference(resolution,[status(thm)],[c_605113,c_111]) ).

tcf(c_745061,plain,
    ! [X0: $i,X1: $i] :
      ( leaf_occ(sK19,X1)
      | ( sK17(sK19) = X0 )
      | ( sK16(sK19) = X0 )
      | ~ arboreal(sK19)
      | ~ subactivity_occurrence(sK19,X1)
      | ~ occurrence_of(X1,tptp0)
      | ~ min_precedes(sK15(sK19),X0,tptp0) ),
    inference(instantiation,[status(thm)],[c_117]) ).

tcf(c_745062,plain,
    ! [X0: $i] :
      ( ~ min_precedes(sK15(sK19),X0,tptp0)
      | ( sK16(sK19) = X0 )
      | ( sK17(sK19) = X0 ) ),
    inference(global_subsumption_just,[status(thm)],[c_745061,c_5955]) ).

tcf(c_745063,plain,
    ! [X0: $i] :
      ( ( sK17(sK19) = X0 )
      | ( sK16(sK19) = X0 )
      | ~ min_precedes(sK15(sK19),X0,tptp0) ),
    inference(renaming,[status(thm)],[c_745062]) ).

tcf(c_745251,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( occurrence_of(X0,tptp3)
      | ~ occurrence_of(X1,X2)
      | ( tptp3 != X2 )
      | ( X0 != X1 ) ),
    inference(instantiation,[status(thm)],[c_6446]) ).

tcf(c_745774,plain,
    ! [X0: $i] :
      ( leaf_occ(sK15(sK19),X0)
      | next_subocc(sK15(sK19),sK15(sK15(sK19)),tptp0)
      | ~ arboreal(sK15(sK19))
      | ~ occurrence_of(X0,tptp0)
      | ~ subactivity_occurrence(sK15(sK19),X0) ),
    inference(instantiation,[status(thm)],[c_112]) ).

tcf(c_745776,plain,
    ! [X0: $i] :
      ( leaf_occ(sK15(sK19),X0)
      | occurrence_of(sK15(sK15(sK19)),tptp3)
      | ~ arboreal(sK15(sK19))
      | ~ occurrence_of(X0,tptp0)
      | ~ subactivity_occurrence(sK15(sK19),X0) ),
    inference(instantiation,[status(thm)],[c_111]) ).

tcf(c_745780,plain,
    ! [X0: $i] :
      ( leaf_occ(sK15(sK19),X0)
      | occurrence_of(sK15(sK15(sK19)),tptp3)
      | ~ subactivity_occurrence(sK15(sK19),X0)
      | ~ occurrence_of(X0,tptp0) ),
    inference(global_subsumption_just,[status(thm)],[c_745776,c_10667,c_18058]) ).

tcf(c_745781,plain,
    ! [X0: $i] :
      ( leaf_occ(sK15(sK19),X0)
      | occurrence_of(sK15(sK15(sK19)),tptp3)
      | ~ occurrence_of(X0,tptp0)
      | ~ subactivity_occurrence(sK15(sK19),X0) ),
    inference(renaming,[status(thm)],[c_745780]) ).

tcf(c_745786,plain,
    ! [X0: $i] :
      ( leaf_occ(sK15(sK19),X0)
      | next_subocc(sK15(sK19),sK15(sK15(sK19)),tptp0)
      | ~ subactivity_occurrence(sK15(sK19),X0)
      | ~ occurrence_of(X0,tptp0) ),
    inference(global_subsumption_just,[status(thm)],[c_745774,c_10667,c_18056]) ).

tcf(c_745787,plain,
    ! [X0: $i] :
      ( leaf_occ(sK15(sK19),X0)
      | next_subocc(sK15(sK19),sK15(sK15(sK19)),tptp0)
      | ~ occurrence_of(X0,tptp0)
      | ~ subactivity_occurrence(sK15(sK19),X0) ),
    inference(renaming,[status(thm)],[c_745786]) ).

tcf(c_746139,plain,
    ! [X0: $i,X1: $i] :
      ( occurrence_of(X0,tptp3)
      | ~ occurrence_of(X1,tptp3)
      | ( tptp3 != tptp3 )
      | ( X0 != X1 ) ),
    inference(instantiation,[status(thm)],[c_745251]) ).

tcf(c_746140,plain,
    ! [X0: $i,X1: $i] :
      ( occurrence_of(X0,tptp3)
      | ~ occurrence_of(X1,tptp3)
      | ( X0 != X1 ) ),
    inference(global_subsumption_just,[status(thm)],[c_746139,c_12220,c_84148]) ).

tcf(c_747502,plain,
    ( occurrence_of(sK15(sK15(sK19)),tptp3)
    | leaf_occ(sK15(sK19),sK10(tptp0,sK19,sK15(sK19)))
    | ~ occurrence_of(sK10(tptp0,sK19,sK15(sK19)),tptp0)
    | ~ subactivity_occurrence(sK15(sK19),sK10(tptp0,sK19,sK15(sK19))) ),
    inference(instantiation,[status(thm)],[c_745781]) ).

tcf(c_747503,plain,
    ( occurrence_of(sK15(sK15(sK19)),tptp3)
    | leaf_occ(sK15(sK19),sK10(tptp0,sK19,sK15(sK19))) ),
    inference(global_subsumption_just,[status(thm)],[c_747502,c_140,c_139,c_138,c_5602,c_10639,c_10667,c_13831,c_740762]) ).

tcf(c_747526,plain,
    ( next_subocc(sK15(sK19),sK15(sK15(sK19)),tptp0)
    | leaf_occ(sK15(sK19),sK10(tptp0,sK19,sK15(sK19)))
    | ~ occurrence_of(sK10(tptp0,sK19,sK15(sK19)),tptp0)
    | ~ subactivity_occurrence(sK15(sK19),sK10(tptp0,sK19,sK15(sK19))) ),
    inference(instantiation,[status(thm)],[c_745787]) ).

tcf(c_747527,plain,
    ( next_subocc(sK15(sK19),sK15(sK15(sK19)),tptp0)
    | leaf_occ(sK15(sK19),sK10(tptp0,sK19,sK15(sK19))) ),
    inference(global_subsumption_just,[status(thm)],[c_747526,c_140,c_139,c_138,c_5602,c_10639,c_10667,c_13831,c_740760]) ).

tcf(c_749551,plain,
    ! [X0: $i] :
      ( occurrence_of(X0,tptp3)
      | ~ occurrence_of(sK15(sK15(sK19)),tptp3)
      | ( X0 != sK15(sK15(sK19)) ) ),
    inference(instantiation,[status(thm)],[c_746140]) ).

tcf(c_754480,plain,
    ( ( sK17(sK19) = sK15(sK15(sK19)) )
    | ( sK16(sK19) = sK15(sK15(sK19)) )
    | ~ min_precedes(sK15(sK19),sK15(sK15(sK19)),tptp0) ),
    inference(instantiation,[status(thm)],[c_745063]) ).

tcf(c_761161,plain,
    ( occurrence_of(sK17(sK19),tptp3)
    | ~ occurrence_of(sK15(sK15(sK19)),tptp3)
    | ( sK17(sK19) != sK15(sK15(sK19)) ) ),
    inference(instantiation,[status(thm)],[c_749551]) ).

tcf(c_763517,plain,
    ( occurrence_of(sK16(sK19),tptp3)
    | ~ occurrence_of(sK15(sK15(sK19)),tptp3)
    | ( sK16(sK19) != sK15(sK15(sK19)) ) ),
    inference(instantiation,[status(thm)],[c_749551]) ).

tcf(c_790576,plain,
    occurrence_of(sK10(tptp0,sK19,sK15(sK19)),tptp0),
    inference(global_subsumption_just,[status(thm)],[c_590201,c_140,c_139,c_138,c_5602,c_10639,c_13831]) ).

tcf(c_790616,plain,
    ( activity_occurrence(sK15(sK15(sK19)))
    | leaf_occ(sK15(sK19),sK10(tptp0,sK19,sK15(sK19)))
    | ~ min_precedes(sK19,sK15(sK19),tptp0) ),
    inference(superposition,[status(thm)],[c_790576,c_703517]) ).

tcf(c_790625,plain,
    ( activity_occurrence(sK15(sK15(sK19)))
    | leaf_occ(sK15(sK19),sK10(tptp0,sK19,sK15(sK19))) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_790616,c_570127]) ).

tcf(c_793931,plain,
    leaf_occ(sK15(sK19),sK10(tptp0,sK19,sK15(sK19))),
    inference(global_subsumption_just,[status(thm)],[c_790625,c_140,c_139,c_138,c_124,c_5595,c_56115,c_247737,c_278264,c_747503,c_747527,c_754480,c_761161,c_763517]) ).

tcf(c_793937,plain,
    sK14(sK15(sK19),sK10(tptp0,sK19,sK15(sK19))) = sK1(sK10(tptp0,sK19,sK15(sK19))),
    inference(superposition,[status(thm)],[c_793931,c_570080]) ).

tcf(c_793944,plain,
    sK14(sK15(sK19),sK10(tptp0,sK19,sK15(sK19))) = tptp0,
    inference(light_normalisation,[status(thm)],[c_793937,c_589285]) ).

tcf(c_795324,plain,
    ( leaf(sK15(sK19),tptp0)
    | ~ leaf_occ(sK15(sK19),sK10(tptp0,sK19,sK15(sK19))) ),
    inference(superposition,[status(thm)],[c_793944,c_110]) ).

tcf(c_795361,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[c_795324,c_570814,c_793931]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01  % Problem  : PRO018+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.02  % Command  : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.04/0.30  % Computer : n012.cluster.edu
% 0.04/0.30  % Model    : x86_64 x86_64
% 0.04/0.30  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.04/0.30  % Memory   : 8046.5625MB
% 0.04/0.30  % OS       : Linux 6.8.0-71-generic
% 0.04/0.30  % CPULimit : 300
% 0.04/0.30  % WCLimit  : 300
% 0.04/0.30  % DateTime : Thu Sep 24 06:33:21 UTC 2026
% 0.04/0.30  % CPUTime  : 
% 0.04/0.30  Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.04/0.32  Running first-order theorem proving
% 0.04/0.32  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
% 0.07/0.33  
% 0.07/0.33  % ======== iProver multi-core TPTP/SMT =========
% 0.07/0.33  
% 0.07/0.33  % Detected problem language: tptp
% 0.07/0.34  % Proving...
% 201.45/35.32  % SZS status Started for theBenchmark.p
% 201.45/35.32  % SZS status Theorem for theBenchmark.p
% 201.45/35.32  
% 201.45/35.32  %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 201.45/35.32  
% 201.45/35.32  % ------  iProver source info
% 201.45/35.32  
% 201.45/35.32  % git: date: 2026-07-19 20:42:38 +0200
% 201.45/35.32  % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 201.45/35.32  % git: non_committed_changes: false
% 201.45/35.32  
% 201.45/35.32  % ------ Parsing...
% 201.45/35.32  % ------ Clausification by vclausify_rel  & Parsing by iProver...% 
% 201.45/35.32  
% 201.45/35.32  % ------ Preprocessing... sup_sim: 0  sf_s  rm: 1 0s  sf_e  pe_s  pe_e % 
% 201.45/35.32  
% 201.45/35.32  % ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e % 
% 201.45/35.32  
% 201.45/35.32  % ------ Preprocessing... sf_s  rm: 1 0s  sf_e  sf_s  rm: 0 0s  sf_e 
% 201.45/35.32  % ------ Proving...
% 201.45/35.32  % ------ Problem Properties 
% 201.45/35.32  
% 201.45/35.32  % 
% 201.45/35.32  % clauses                               93
% 201.45/35.32  % conjectures                           9
% 201.45/35.32  % EPR                                   51
% 201.45/35.32  % Horn                                  68
% 201.45/35.32  % unary                                 16
% 201.45/35.32  % binary                                37
% 201.45/35.32  % lits                                  265
% 201.45/35.32  % lits eq                               11
% 201.45/35.32  % fd_pure                               0
% 201.45/35.32  % fd_pseudo                             0
% 201.45/35.32  % fd_cond                               0
% 201.45/35.32  % fd_pseudo_cond                        4
% 201.45/35.32  % AC symbols                            0
% 201.45/35.32  
% 201.45/35.32  % ------ Schedule dynamic 5 is on 
% 201.45/35.32  
% 201.45/35.32  % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 201.45/35.32  
% 201.45/35.32  
% 201.45/35.32  % ------ 
% 201.45/35.32  % Current options:
% 201.45/35.32  % ------ 
% 201.45/35.32  
% 201.45/35.32  
% 201.45/35.32  % 
% 201.45/35.32  
% 201.45/35.32  % ------ Proving...
% 201.45/35.32  % Proof_search_loop: time out after: 8415 full_loop iterations
% 201.45/35.32  
% 201.45/35.32  % ------ Input Options"1. --res_lit_sel adaptive --res_lit_sel_side num_symb" Time Limit: 15.
% 201.45/35.32  
% 201.45/35.32  
% 201.45/35.32  % ------ 
% 201.45/35.32  % Current options:
% 201.45/35.32  % ------ 
% 201.45/35.32  
% 201.45/35.32  
% 201.45/35.32  % 
% 201.45/35.32  
% 201.45/35.32  % ------ Proving...
% 201.45/35.32  % Proof_search_loop: time out after: 10824 full_loop iterations
% 201.45/35.32  
% 201.45/35.32  % ------ Option_1: Negative Selections Time Limit: 35.
% 201.45/35.32  
% 201.45/35.32  
% 201.45/35.32  % ------ 
% 201.45/35.32  % Current options:
% 201.45/35.32  % ------ 
% 201.45/35.32  
% 201.45/35.32  
% 201.45/35.32  % 
% 201.45/35.32  
% 201.45/35.32  % ------ Proving...
% 201.45/35.32  % 
% 201.45/35.32  
% 201.45/35.32  % SZS status Theorem for theBenchmark.p
% 201.45/35.32  
% 201.45/35.32  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 201.45/35.33  
% 201.45/35.33  
%------------------------------------------------------------------------------