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Vampire-SAT---5.0.1.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Vampire-SAT---5.0.1
% Problem  : PRO009+4 : TPTP v9.3.1. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT

% Computer : n020.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 : Tue Sep 29 12:30:36 PM UTC 2026

% Result   : Theorem 0.37s 0.47s
% Output   : Refutation 0.37s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   22
%            Number of leaves      :   28
% Syntax   : Number of formulae    :  199 (  25 unt;  12 def)
%            Number of atoms       :  648 (  48 equ)
%            Maximal formula atoms :    9 (   3 avg)
%            Number of connectives :  804 ( 355   ~; 347   |;  70   &)
%                                         (  15 <=>;  17  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   12 (   5 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :   29 (  27 usr;  13 prp; 0-3 aty)
%            Number of functors    :   14 (  14 usr;   6 con; 0-2 aty)
%            Number of variables   :  202 (   0 sgn 174   !;  28   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f3,axiom,
    ! [X0,X1,X2,X3] :
      ( ( occurrence_of(X1,X0)
        & subactivity_occurrence(X2,X1)
        & leaf_occ(X3,X1)
        & arboreal(X2)
        & ~ min_precedes(X2,X3,X0) )
     => X3 = X2 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_02) ).

fof(f4,axiom,
    ! [X0,X1] :
      ( occurrence_of(X1,X0)
     => ( activity(X0)
        & activity_occurrence(X1) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_03) ).

fof(f6,axiom,
    ! [X0,X1] :
      ( root(X1,X0)
     => ? [X2] :
          ( subactivity(X2,X0)
          & atocc(X1,X2) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_05) ).

fof(f9,axiom,
    ! [X0,X1,X2] :
      ( ( occurrence_of(X0,X1)
        & occurrence_of(X0,X2) )
     => X1 = X2 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_08) ).

fof(f11,axiom,
    ! [X0,X1,X2] :
      ( ( occurrence_of(X0,X2)
        & root_occ(X1,X0) )
     => ~ ? [X3] : min_precedes(X3,X1,X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_10) ).

fof(f12,axiom,
    ! [X0,X1] :
      ( subactivity_occurrence(X0,X1)
     => ( activity_occurrence(X0)
        & activity_occurrence(X1) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_11) ).

fof(f13,axiom,
    ! [X0] :
      ( activity_occurrence(X0)
     => ? [X1] :
          ( activity(X1)
          & occurrence_of(X0,X1) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_12) ).

fof(f14,axiom,
    ! [X0] :
      ( legal(X0)
     => arboreal(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_13) ).

fof(f15,axiom,
    ! [X0,X1] :
      ( atocc(X0,X1)
    <=> ? [X2] :
          ( subactivity(X1,X2)
          & atomic(X2)
          & occurrence_of(X0,X2) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_14) ).

fof(f18,axiom,
    ! [X0,X1] :
      ( root(X0,X1)
     => legal(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_17) ).

fof(f19,axiom,
    ! [X0,X1] :
      ( leaf_occ(X0,X1)
    <=> ? [X2] :
          ( occurrence_of(X1,X2)
          & subactivity_occurrence(X0,X1)
          & leaf(X0,X2) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_18) ).

fof(f20,axiom,
    ! [X0,X1] :
      ( root_occ(X0,X1)
    <=> ? [X2] :
          ( occurrence_of(X1,X2)
          & subactivity_occurrence(X0,X1)
          & root(X0,X2) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_19) ).

fof(f33,axiom,
    ! [X0] :
      ( occurrence_of(X0,tptp0)
     => ? [X1,X2,X3] :
          ( occurrence_of(X1,tptp3)
          & root_occ(X1,X0)
          & occurrence_of(X2,tptp4)
          & next_subocc(X1,X2,tptp0)
          & ( occurrence_of(X3,tptp2)
            | occurrence_of(X3,tptp1) )
          & next_subocc(X2,X3,tptp0)
          & leaf_occ(X3,X0) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_32) ).

fof(f43,axiom,
    tptp3 != tptp2,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_42) ).

fof(f44,axiom,
    tptp3 != tptp1,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_43) ).

fof(f46,conjecture,
    ! [X0] :
      ( occurrence_of(X0,tptp0)
     => ? [X1,X2] :
          ( occurrence_of(X1,tptp3)
          & root_occ(X1,X0)
          & ( occurrence_of(X2,tptp2)
            | occurrence_of(X2,tptp1) )
          & min_precedes(X1,X2,tptp0)
          & leaf_occ(X2,X0) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goals) ).

fof(f47,negated_conjecture,
    ~ ! [X0] :
        ( occurrence_of(X0,tptp0)
       => ? [X1,X2] :
            ( occurrence_of(X1,tptp3)
            & root_occ(X1,X0)
            & ( occurrence_of(X2,tptp2)
              | occurrence_of(X2,tptp1) )
            & min_precedes(X1,X2,tptp0)
            & leaf_occ(X2,X0) ) ),
    inference(negated_conjecture,[status(cth)],[f46]) ).

fof(f48,plain,
    ! [X0,X1] :
      ( atocc(X0,X1)
     => ? [X2] :
          ( subactivity(X1,X2)
          & atomic(X2)
          & occurrence_of(X0,X2) ) ),
    inference(unused_predicate_definition_removal,[],[f15]) ).

fof(f49,plain,
    ! [X0,X1] :
      ( atocc(X0,X1)
     => ? [X2] :
          ( atomic(X2)
          & occurrence_of(X0,X2) ) ),
    inference(pure_predicate_removal,[],[f48]) ).

fof(f50,plain,
    ! [X0,X1] :
      ( root(X1,X0)
     => ? [X2] : atocc(X1,X2) ),
    inference(pure_predicate_removal,[],[f6]) ).

fof(f51,plain,
    ! [X0] :
      ( activity_occurrence(X0)
     => ? [X1] : occurrence_of(X0,X1) ),
    inference(pure_predicate_removal,[],[f13]) ).

fof(f52,plain,
    ! [X0,X1] :
      ( occurrence_of(X1,X0)
     => activity_occurrence(X1) ),
    inference(pure_predicate_removal,[],[f4]) ).

fof(f58,plain,
    ! [X0,X1,X2,X3] :
      ( X3 = X2
      | ~ occurrence_of(X1,X0)
      | ~ subactivity_occurrence(X2,X1)
      | ~ leaf_occ(X3,X1)
      | ~ arboreal(X2)
      | min_precedes(X2,X3,X0) ),
    inference(ennf_transformation,[],[f3]) ).

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

fof(f60,plain,
    ! [X0,X1] :
      ( activity_occurrence(X1)
      | ~ occurrence_of(X1,X0) ),
    inference(ennf_transformation,[],[f52]) ).

fof(f63,plain,
    ! [X0,X1] :
      ( ? [X2] : atocc(X1,X2)
      | ~ root(X1,X0) ),
    inference(ennf_transformation,[],[f50]) ).

fof(f67,plain,
    ! [X0,X1,X2] :
      ( X1 = X2
      | ~ occurrence_of(X0,X1)
      | ~ occurrence_of(X0,X2) ),
    inference(ennf_transformation,[],[f9]) ).

fof(f68,plain,
    ! [X0,X1,X2] :
      ( X1 = X2
      | ~ occurrence_of(X0,X1)
      | ~ occurrence_of(X0,X2) ),
    inference(flattening,[],[f67]) ).

fof(f71,plain,
    ! [X0,X1,X2] :
      ( ! [X3] : ~ min_precedes(X3,X1,X2)
      | ~ occurrence_of(X0,X2)
      | ~ root_occ(X1,X0) ),
    inference(ennf_transformation,[],[f11]) ).

fof(f72,plain,
    ! [X0,X1,X2] :
      ( ! [X3] : ~ min_precedes(X3,X1,X2)
      | ~ occurrence_of(X0,X2)
      | ~ root_occ(X1,X0) ),
    inference(flattening,[],[f71]) ).

fof(f73,plain,
    ! [X0,X1] :
      ( ( activity_occurrence(X0)
        & activity_occurrence(X1) )
      | ~ subactivity_occurrence(X0,X1) ),
    inference(ennf_transformation,[],[f12]) ).

fof(f74,plain,
    ! [X0] :
      ( ? [X1] : occurrence_of(X0,X1)
      | ~ activity_occurrence(X0) ),
    inference(ennf_transformation,[],[f51]) ).

fof(f75,plain,
    ! [X0] :
      ( arboreal(X0)
      | ~ legal(X0) ),
    inference(ennf_transformation,[],[f14]) ).

fof(f76,plain,
    ! [X0,X1] :
      ( ? [X2] :
          ( atomic(X2)
          & occurrence_of(X0,X2) )
      | ~ atocc(X0,X1) ),
    inference(ennf_transformation,[],[f49]) ).

fof(f79,plain,
    ! [X0,X1] :
      ( legal(X0)
      | ~ root(X0,X1) ),
    inference(ennf_transformation,[],[f18]) ).

fof(f96,plain,
    ! [X0] :
      ( ? [X1,X2,X3] :
          ( occurrence_of(X1,tptp3)
          & root_occ(X1,X0)
          & occurrence_of(X2,tptp4)
          & next_subocc(X1,X2,tptp0)
          & ( occurrence_of(X3,tptp2)
            | occurrence_of(X3,tptp1) )
          & next_subocc(X2,X3,tptp0)
          & leaf_occ(X3,X0) )
      | ~ occurrence_of(X0,tptp0) ),
    inference(ennf_transformation,[],[f33]) ).

fof(f97,plain,
    ? [X0] :
      ( ! [X1,X2] :
          ( ~ occurrence_of(X1,tptp3)
          | ~ root_occ(X1,X0)
          | ( ~ occurrence_of(X2,tptp2)
            & ~ occurrence_of(X2,tptp1) )
          | ~ min_precedes(X1,X2,tptp0)
          | ~ leaf_occ(X2,X0) )
      & occurrence_of(X0,tptp0) ),
    inference(ennf_transformation,[],[f47]) ).

fof(f99,plain,
    ! [X0,X1] :
      ( atocc(X1,sK1(X1))
      | ~ root(X1,X0) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK1]),skolemize(X2,sK1(X1))],[f63]) ).

fof(f102,plain,
    ! [X0] :
      ( occurrence_of(X0,sK4(X0))
      | ~ activity_occurrence(X0) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK4]),skolemize(X1,sK4(X0))],[f74]) ).

fof(f103,plain,
    ! [X0,X1] :
      ( ( atomic(sK5(X0))
        & occurrence_of(X0,sK5(X0)) )
      | ~ atocc(X0,X1) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK5]),skolemize(X2,sK5(X0))],[f76]) ).

fof(f109,plain,
    ! [X0,X1] :
      ( ( leaf_occ(X0,X1)
        | ! [X2] :
            ( ~ occurrence_of(X1,X2)
            | ~ subactivity_occurrence(X0,X1)
            | ~ leaf(X0,X2) ) )
      & ( ? [X2] :
            ( occurrence_of(X1,X2)
            & subactivity_occurrence(X0,X1)
            & leaf(X0,X2) )
        | ~ leaf_occ(X0,X1) ) ),
    inference(nnf_transformation,[],[f19]) ).

fof(f110,plain,
    ! [X0,X1] :
      ( ( leaf_occ(X0,X1)
        | ! [X2] :
            ( ~ occurrence_of(X1,X2)
            | ~ subactivity_occurrence(X0,X1)
            | ~ leaf(X0,X2) ) )
      & ( ? [X3] :
            ( occurrence_of(X1,X3)
            & subactivity_occurrence(X0,X1)
            & leaf(X0,X3) )
        | ~ leaf_occ(X0,X1) ) ),
    inference(rectify,[],[f109]) ).

fof(f111,plain,
    ! [X0,X1] :
      ( ( leaf_occ(X0,X1)
        | ! [X2] :
            ( ~ occurrence_of(X1,X2)
            | ~ subactivity_occurrence(X0,X1)
            | ~ leaf(X0,X2) ) )
      & ( ( occurrence_of(X1,sK8(X0,X1))
          & subactivity_occurrence(X0,X1)
          & leaf(X0,sK8(X0,X1)) )
        | ~ leaf_occ(X0,X1) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK8]),skolemize(X3,sK8(X0,X1))],[f110]) ).

fof(f112,plain,
    ! [X0,X1] :
      ( ( root_occ(X0,X1)
        | ! [X2] :
            ( ~ occurrence_of(X1,X2)
            | ~ subactivity_occurrence(X0,X1)
            | ~ root(X0,X2) ) )
      & ( ? [X2] :
            ( occurrence_of(X1,X2)
            & subactivity_occurrence(X0,X1)
            & root(X0,X2) )
        | ~ root_occ(X0,X1) ) ),
    inference(nnf_transformation,[],[f20]) ).

fof(f113,plain,
    ! [X0,X1] :
      ( ( root_occ(X0,X1)
        | ! [X2] :
            ( ~ occurrence_of(X1,X2)
            | ~ subactivity_occurrence(X0,X1)
            | ~ root(X0,X2) ) )
      & ( ? [X3] :
            ( occurrence_of(X1,X3)
            & subactivity_occurrence(X0,X1)
            & root(X0,X3) )
        | ~ root_occ(X0,X1) ) ),
    inference(rectify,[],[f112]) ).

fof(f114,plain,
    ! [X0,X1] :
      ( ( root_occ(X0,X1)
        | ! [X2] :
            ( ~ occurrence_of(X1,X2)
            | ~ subactivity_occurrence(X0,X1)
            | ~ root(X0,X2) ) )
      & ( ( occurrence_of(X1,sK9(X0,X1))
          & subactivity_occurrence(X0,X1)
          & root(X0,sK9(X0,X1)) )
        | ~ root_occ(X0,X1) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK9]),skolemize(X3,sK9(X0,X1))],[f113]) ).

fof(f122,plain,
    ! [X0] :
      ( ( occurrence_of(sK12(X0),tptp3)
        & root_occ(sK12(X0),X0)
        & occurrence_of(sK13(X0),tptp4)
        & next_subocc(sK12(X0),sK13(X0),tptp0)
        & ( occurrence_of(sK14(X0),tptp2)
          | occurrence_of(sK14(X0),tptp1) )
        & next_subocc(sK13(X0),sK14(X0),tptp0)
        & leaf_occ(sK14(X0),X0) )
      | ~ occurrence_of(X0,tptp0) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK12,sK13,sK14]),skolemize(X1,sK12(X0)),skolemize(X2,sK13(X0)),skolemize(X3,sK14(X0))],[f96]) ).

fof(f123,plain,
    ( ! [X1,X2] :
        ( ~ occurrence_of(X1,tptp3)
        | ~ root_occ(X1,sK15)
        | ( ~ occurrence_of(X2,tptp2)
          & ~ occurrence_of(X2,tptp1) )
        | ~ min_precedes(X1,X2,tptp0)
        | ~ leaf_occ(X2,sK15) )
    & occurrence_of(sK15,tptp0) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK15]),skolemize(X0,sK15)],[f97]) ).

fof(f127,plain,
    ! [X2,X3,X0,X1] :
      ( ~ leaf_occ(X3,X1)
      | ~ occurrence_of(X1,X0)
      | ~ subactivity_occurrence(X2,X1)
      | X2 = X3
      | ~ arboreal(X2)
      | min_precedes(X2,X3,X0) ),
    inference(cnf_transformation,[],[f59]) ).

fof(f128,plain,
    ! [X0,X1] :
      ( ~ occurrence_of(X1,X0)
      | activity_occurrence(X1) ),
    inference(cnf_transformation,[],[f60]) ).

fof(f130,plain,
    ! [X0,X1] :
      ( ~ root(X1,X0)
      | atocc(X1,sK1(X1)) ),
    inference(cnf_transformation,[],[f99]) ).

fof(f136,plain,
    ! [X2,X0,X1] :
      ( ~ occurrence_of(X0,X2)
      | ~ occurrence_of(X0,X1)
      | X1 = X2 ),
    inference(cnf_transformation,[],[f68]) ).

fof(f138,plain,
    ! [X2,X3,X0,X1] :
      ( ~ min_precedes(X3,X1,X2)
      | ~ occurrence_of(X0,X2)
      | ~ root_occ(X1,X0) ),
    inference(cnf_transformation,[],[f72]) ).

fof(f140,plain,
    ! [X0,X1] :
      ( ~ subactivity_occurrence(X0,X1)
      | activity_occurrence(X0) ),
    inference(cnf_transformation,[],[f73]) ).

fof(f141,plain,
    ! [X0] :
      ( occurrence_of(X0,sK4(X0))
      | ~ activity_occurrence(X0) ),
    inference(cnf_transformation,[],[f102]) ).

fof(f142,plain,
    ! [X0] :
      ( ~ legal(X0)
      | arboreal(X0) ),
    inference(cnf_transformation,[],[f75]) ).

fof(f143,plain,
    ! [X0,X1] :
      ( ~ atocc(X0,X1)
      | occurrence_of(X0,sK5(X0)) ),
    inference(cnf_transformation,[],[f103]) ).

fof(f151,plain,
    ! [X0,X1] :
      ( ~ root(X0,X1)
      | legal(X0) ),
    inference(cnf_transformation,[],[f79]) ).

fof(f153,plain,
    ! [X0,X1] :
      ( ~ leaf_occ(X0,X1)
      | subactivity_occurrence(X0,X1) ),
    inference(cnf_transformation,[],[f111]) ).

fof(f156,plain,
    ! [X0,X1] :
      ( root(X0,sK9(X0,X1))
      | ~ root_occ(X0,X1) ),
    inference(cnf_transformation,[],[f114]) ).

fof(f157,plain,
    ! [X0,X1] :
      ( ~ root_occ(X0,X1)
      | subactivity_occurrence(X0,X1) ),
    inference(cnf_transformation,[],[f114]) ).

fof(f158,plain,
    ! [X0,X1] :
      ( occurrence_of(X1,sK9(X0,X1))
      | ~ root_occ(X0,X1) ),
    inference(cnf_transformation,[],[f114]) ).

fof(f179,plain,
    ! [X0] :
      ( leaf_occ(sK14(X0),X0)
      | ~ occurrence_of(X0,tptp0) ),
    inference(cnf_transformation,[],[f122]) ).

fof(f181,plain,
    ! [X0] :
      ( occurrence_of(sK14(X0),tptp1)
      | occurrence_of(sK14(X0),tptp2)
      | ~ occurrence_of(X0,tptp0) ),
    inference(cnf_transformation,[],[f122]) ).

fof(f184,plain,
    ! [X0] :
      ( root_occ(sK12(X0),X0)
      | ~ occurrence_of(X0,tptp0) ),
    inference(cnf_transformation,[],[f122]) ).

fof(f185,plain,
    ! [X0] :
      ( occurrence_of(sK12(X0),tptp3)
      | ~ occurrence_of(X0,tptp0) ),
    inference(cnf_transformation,[],[f122]) ).

fof(f194,plain,
    tptp3 != tptp2,
    inference(cnf_transformation,[],[f43]) ).

fof(f195,plain,
    tptp3 != tptp1,
    inference(cnf_transformation,[],[f44]) ).

fof(f197,plain,
    occurrence_of(sK15,tptp0),
    inference(cnf_transformation,[],[f123]) ).

fof(f198,plain,
    ! [X2,X1] :
      ( ~ min_precedes(X1,X2,tptp0)
      | ~ root_occ(X1,sK15)
      | ~ occurrence_of(X2,tptp1)
      | ~ occurrence_of(X1,tptp3)
      | ~ leaf_occ(X2,sK15) ),
    inference(cnf_transformation,[],[f123]) ).

fof(f199,plain,
    ! [X2,X1] :
      ( ~ min_precedes(X1,X2,tptp0)
      | ~ root_occ(X1,sK15)
      | ~ occurrence_of(X2,tptp2)
      | ~ occurrence_of(X1,tptp3)
      | ~ leaf_occ(X2,sK15) ),
    inference(cnf_transformation,[],[f123]) ).

fof(f200,plain,
    activity_occurrence(sK15),
    inference(resolution,[],[f128,f197]) ).

fof(f216,plain,
    ! [X0] :
      ( ~ occurrence_of(X0,tptp0)
      | activity_occurrence(sK12(X0)) ),
    inference(resolution,[],[f185,f128]) ).

fof(f223,plain,
    ! [X0,X1] :
      ( ~ root_occ(X0,X1)
      | legal(X0) ),
    inference(resolution,[],[f156,f151]) ).

fof(f230,plain,
    activity_occurrence(sK12(sK15)),
    inference(resolution,[],[f216,f197]) ).

fof(f234,plain,
    ! [X0,X1] :
      ( ~ occurrence_of(sK12(X0),X1)
      | tptp3 = X1
      | ~ occurrence_of(X0,tptp0) ),
    inference(resolution,[],[f136,f185]) ).

fof(f236,plain,
    ! [X0] :
      ( ~ occurrence_of(sK15,X0)
      | tptp0 = X0 ),
    inference(resolution,[],[f136,f197]) ).

fof(f241,plain,
    ! [X0] :
      ( ~ root_occ(X0,sK15)
      | tptp0 = sK9(X0,sK15) ),
    inference(resolution,[],[f236,f158]) ).

fof(f255,definition,
    ( spl16_1
  <=> leaf_occ(sK14(sK15),sK15) ),
    introduced(definition,[new_symbols(definition,[spl16_1])],[avatar_definition]) ).

fof(f256,plain,
    ( leaf_occ(sK14(sK15),sK15)
    | ~ spl16_1 ),
    inference(avatar_component_clause,[],[f255]) ).

fof(f257,plain,
    ( ~ leaf_occ(sK14(sK15),sK15)
    | spl16_1 ),
    inference(avatar_component_clause,[],[f255]) ).

fof(f265,plain,
    ( ~ occurrence_of(sK15,tptp0)
    | spl16_1 ),
    inference(resolution,[],[f257,f179]) ).

fof(f266,plain,
    ( $false
    | spl16_1 ),
    inference(forward_subsumption_resolution,[],[f265,f197]) ).

fof(f267,plain,
    spl16_1,
    inference(avatar_contradiction_clause,[],[f266]) ).

fof(f272,plain,
    ( subactivity_occurrence(sK14(sK15),sK15)
    | ~ spl16_1 ),
    inference(resolution,[],[f256,f153]) ).

fof(f277,plain,
    ( activity_occurrence(sK14(sK15))
    | ~ spl16_1 ),
    inference(resolution,[],[f272,f140]) ).

fof(f288,plain,
    ( tptp0 = sK9(sK12(sK15),sK15)
    | ~ occurrence_of(sK15,tptp0) ),
    inference(resolution,[],[f241,f184]) ).

fof(f289,plain,
    tptp0 = sK9(sK12(sK15),sK15),
    inference(forward_subsumption_resolution,[],[f288,f197]) ).

fof(f302,plain,
    ( root(sK12(sK15),tptp0)
    | ~ root_occ(sK12(sK15),sK15) ),
    inference(superposition,[],[f156,f289]) ).

fof(f304,definition,
    ( spl16_3
  <=> root_occ(sK12(sK15),sK15) ),
    introduced(definition,[new_symbols(definition,[spl16_3])],[avatar_definition]) ).

fof(f305,plain,
    ( root_occ(sK12(sK15),sK15)
    | ~ spl16_3 ),
    inference(avatar_component_clause,[],[f304]) ).

fof(f306,plain,
    ( ~ root_occ(sK12(sK15),sK15)
    | spl16_3 ),
    inference(avatar_component_clause,[],[f304]) ).

fof(f308,definition,
    ( spl16_4
  <=> root(sK12(sK15),tptp0) ),
    introduced(definition,[new_symbols(definition,[spl16_4])],[avatar_definition]) ).

fof(f310,plain,
    ( root(sK12(sK15),tptp0)
    | ~ spl16_4 ),
    inference(avatar_component_clause,[],[f308]) ).

fof(f311,plain,
    ( ~ spl16_3
    | spl16_4 ),
    inference(avatar_split_clause,[],[f302,f308,f304]) ).

fof(f312,plain,
    ( ~ occurrence_of(sK15,tptp0)
    | spl16_3 ),
    inference(resolution,[],[f306,f184]) ).

fof(f313,plain,
    ( $false
    | spl16_3 ),
    inference(forward_subsumption_resolution,[],[f312,f197]) ).

fof(f314,plain,
    spl16_3,
    inference(avatar_contradiction_clause,[],[f313]) ).

fof(f317,plain,
    ( legal(sK12(sK15))
    | ~ spl16_3 ),
    inference(resolution,[],[f305,f223]) ).

fof(f318,plain,
    ( subactivity_occurrence(sK12(sK15),sK15)
    | ~ spl16_3 ),
    inference(resolution,[],[f305,f157]) ).

fof(f319,plain,
    ( arboreal(sK12(sK15))
    | ~ spl16_3 ),
    inference(resolution,[],[f317,f142]) ).

fof(f335,plain,
    ( atocc(sK12(sK15),sK1(sK12(sK15)))
    | ~ spl16_4 ),
    inference(resolution,[],[f310,f130]) ).

fof(f350,plain,
    ( occurrence_of(sK12(sK15),sK5(sK12(sK15)))
    | ~ spl16_4 ),
    inference(resolution,[],[f335,f143]) ).

fof(f358,definition,
    ( spl16_5
  <=> root_occ(sK14(sK15),sK15) ),
    introduced(definition,[new_symbols(definition,[spl16_5])],[avatar_definition]) ).

fof(f359,plain,
    ( ~ root_occ(sK14(sK15),sK15)
    | spl16_5 ),
    inference(avatar_component_clause,[],[f358]) ).

fof(f360,plain,
    ( root_occ(sK14(sK15),sK15)
    | ~ spl16_5 ),
    inference(avatar_component_clause,[],[f358]) ).

fof(f367,plain,
    ( ! [X0] :
        ( ~ occurrence_of(sK12(sK15),X0)
        | sK5(sK12(sK15)) = X0 )
    | ~ spl16_4 ),
    inference(resolution,[],[f350,f136]) ).

fof(f377,definition,
    ( spl16_8
  <=> ! [X0] : ~ occurrence_of(sK15,X0) ),
    introduced(definition,[new_symbols(definition,[spl16_8])],[avatar_definition]) ).

fof(f378,plain,
    ( ! [X0] : ~ occurrence_of(sK15,X0)
    | ~ spl16_8 ),
    inference(avatar_component_clause,[],[f377]) ).

fof(f387,plain,
    ( tptp3 = sK5(sK12(sK15))
    | ~ occurrence_of(sK15,tptp0)
    | ~ spl16_4 ),
    inference(resolution,[],[f367,f185]) ).

fof(f389,plain,
    ( sK5(sK12(sK15)) = sK4(sK12(sK15))
    | ~ activity_occurrence(sK12(sK15))
    | ~ spl16_4 ),
    inference(resolution,[],[f367,f141]) ).

fof(f392,plain,
    ( sK5(sK12(sK15)) = sK4(sK12(sK15))
    | ~ spl16_4 ),
    inference(forward_subsumption_resolution,[],[f389,f230]) ).

fof(f393,plain,
    ( tptp3 = sK5(sK12(sK15))
    | ~ spl16_4 ),
    inference(forward_subsumption_resolution,[],[f387,f197]) ).

fof(f404,plain,
    ( occurrence_of(sK12(sK15),tptp3)
    | ~ spl16_4 ),
    inference(superposition,[],[f350,f393]) ).

fof(f440,plain,
    ( tptp3 = sK4(sK12(sK15))
    | ~ spl16_4 ),
    inference(forward_demodulation,[],[f392,f393]) ).

fof(f442,plain,
    ( ! [X0,X1] :
        ( min_precedes(X1,sK14(sK15),X0)
        | ~ subactivity_occurrence(X1,sK15)
        | sK14(sK15) = X1
        | ~ arboreal(X1)
        | ~ occurrence_of(sK15,X0) )
    | ~ spl16_1 ),
    inference(resolution,[],[f127,f256]) ).

fof(f493,plain,
    ( ! [X0] :
        ( ~ subactivity_occurrence(X0,sK15)
        | sK14(sK15) = X0
        | ~ arboreal(X0)
        | ~ occurrence_of(sK15,tptp0)
        | ~ root_occ(X0,sK15)
        | ~ occurrence_of(sK14(sK15),tptp2)
        | ~ occurrence_of(X0,tptp3)
        | ~ leaf_occ(sK14(sK15),sK15) )
    | ~ spl16_1 ),
    inference(resolution,[],[f442,f199]) ).

fof(f494,plain,
    ( ! [X0] :
        ( ~ subactivity_occurrence(X0,sK15)
        | sK14(sK15) = X0
        | ~ arboreal(X0)
        | ~ occurrence_of(sK15,tptp0)
        | ~ root_occ(X0,sK15)
        | ~ occurrence_of(sK14(sK15),tptp1)
        | ~ occurrence_of(X0,tptp3)
        | ~ leaf_occ(sK14(sK15),sK15) )
    | ~ spl16_1 ),
    inference(resolution,[],[f442,f198]) ).

fof(f497,plain,
    ( ! [X2,X0,X1] :
        ( ~ subactivity_occurrence(X0,sK15)
        | sK14(sK15) = X0
        | ~ arboreal(X0)
        | ~ occurrence_of(sK15,X1)
        | ~ occurrence_of(X2,X1)
        | ~ root_occ(sK14(sK15),X2) )
    | ~ spl16_1 ),
    inference(resolution,[],[f442,f138]) ).

fof(f514,definition,
    ( spl16_17
  <=> ! [X0] :
        ( ~ subactivity_occurrence(X0,sK15)
        | ~ arboreal(X0)
        | sK14(sK15) = X0 ) ),
    introduced(definition,[new_symbols(definition,[spl16_17])],[avatar_definition]) ).

fof(f515,plain,
    ( ! [X0] :
        ( ~ subactivity_occurrence(X0,sK15)
        | ~ arboreal(X0)
        | sK14(sK15) = X0 )
    | ~ spl16_17 ),
    inference(avatar_component_clause,[],[f514]) ).

fof(f526,definition,
    ( spl16_20
  <=> ! [X2,X1] :
        ( ~ occurrence_of(sK15,X1)
        | ~ root_occ(sK14(sK15),X2)
        | ~ occurrence_of(X2,X1) ) ),
    introduced(definition,[new_symbols(definition,[spl16_20])],[avatar_definition]) ).

fof(f527,plain,
    ( ! [X2,X1] :
        ( ~ root_occ(sK14(sK15),X2)
        | ~ occurrence_of(sK15,X1)
        | ~ occurrence_of(X2,X1) )
    | ~ spl16_20 ),
    inference(avatar_component_clause,[],[f526]) ).

fof(f528,plain,
    ( spl16_20
    | spl16_17
    | ~ spl16_1 ),
    inference(avatar_split_clause,[],[f497,f255,f514,f526]) ).

fof(f529,plain,
    ( ! [X0] :
        ( ~ subactivity_occurrence(X0,sK15)
        | sK14(sK15) = X0
        | ~ arboreal(X0)
        | ~ occurrence_of(sK15,tptp0)
        | ~ root_occ(X0,sK15)
        | ~ occurrence_of(sK14(sK15),tptp1)
        | ~ occurrence_of(X0,tptp3) )
    | ~ spl16_1 ),
    inference(forward_subsumption_resolution,[],[f494,f179]) ).

fof(f530,plain,
    ( ! [X0] :
        ( ~ subactivity_occurrence(X0,sK15)
        | sK14(sK15) = X0
        | ~ arboreal(X0)
        | ~ occurrence_of(sK15,tptp0)
        | ~ root_occ(X0,sK15)
        | ~ occurrence_of(sK14(sK15),tptp2)
        | ~ occurrence_of(X0,tptp3) )
    | ~ spl16_1 ),
    inference(forward_subsumption_resolution,[],[f493,f179]) ).

fof(f531,plain,
    ( ! [X0] :
        ( ~ subactivity_occurrence(X0,sK15)
        | sK14(sK15) = X0
        | ~ arboreal(X0)
        | ~ root_occ(X0,sK15)
        | ~ occurrence_of(sK14(sK15),tptp1)
        | ~ occurrence_of(X0,tptp3) )
    | ~ spl16_1 ),
    inference(forward_subsumption_resolution,[],[f529,f197]) ).

fof(f532,plain,
    ( ! [X0] :
        ( ~ subactivity_occurrence(X0,sK15)
        | sK14(sK15) = X0
        | ~ arboreal(X0)
        | ~ root_occ(X0,sK15)
        | ~ occurrence_of(sK14(sK15),tptp2)
        | ~ occurrence_of(X0,tptp3) )
    | ~ spl16_1 ),
    inference(forward_subsumption_resolution,[],[f530,f197]) ).

fof(f533,plain,
    ( ! [X0] :
        ( sK14(sK15) = X0
        | ~ arboreal(X0)
        | ~ root_occ(X0,sK15)
        | ~ occurrence_of(sK14(sK15),tptp1)
        | ~ occurrence_of(X0,tptp3) )
    | ~ spl16_1 ),
    inference(forward_subsumption_resolution,[],[f531,f157]) ).

fof(f534,plain,
    ( ! [X0] :
        ( sK14(sK15) = X0
        | ~ arboreal(X0)
        | ~ root_occ(X0,sK15)
        | ~ occurrence_of(sK14(sK15),tptp2)
        | ~ occurrence_of(X0,tptp3) )
    | ~ spl16_1 ),
    inference(forward_subsumption_resolution,[],[f532,f157]) ).

fof(f536,definition,
    ( spl16_21
  <=> occurrence_of(sK14(sK15),tptp1) ),
    introduced(definition,[new_symbols(definition,[spl16_21])],[avatar_definition]) ).

fof(f537,plain,
    ( occurrence_of(sK14(sK15),tptp1)
    | ~ spl16_21 ),
    inference(avatar_component_clause,[],[f536]) ).

fof(f538,plain,
    ( ~ occurrence_of(sK14(sK15),tptp1)
    | spl16_21 ),
    inference(avatar_component_clause,[],[f536]) ).

fof(f540,definition,
    ( spl16_22
  <=> ! [X0] :
        ( sK14(sK15) = X0
        | ~ occurrence_of(X0,tptp3)
        | ~ root_occ(X0,sK15)
        | ~ arboreal(X0) ) ),
    introduced(definition,[new_symbols(definition,[spl16_22])],[avatar_definition]) ).

fof(f541,plain,
    ( ! [X0] :
        ( ~ root_occ(X0,sK15)
        | ~ occurrence_of(X0,tptp3)
        | sK14(sK15) = X0
        | ~ arboreal(X0) )
    | ~ spl16_22 ),
    inference(avatar_component_clause,[],[f540]) ).

fof(f542,plain,
    ( ~ spl16_21
    | spl16_22
    | ~ spl16_1 ),
    inference(avatar_split_clause,[],[f533,f255,f540,f536]) ).

fof(f544,definition,
    ( spl16_23
  <=> occurrence_of(sK14(sK15),tptp2) ),
    introduced(definition,[new_symbols(definition,[spl16_23])],[avatar_definition]) ).

fof(f547,plain,
    ( ~ spl16_23
    | spl16_22
    | ~ spl16_1 ),
    inference(avatar_split_clause,[],[f534,f255,f540,f544]) ).

fof(f556,plain,
    ( ~ activity_occurrence(sK15)
    | ~ spl16_8 ),
    inference(resolution,[],[f378,f141]) ).

fof(f560,plain,
    ( $false
    | ~ spl16_8 ),
    inference(forward_subsumption_resolution,[],[f556,f200]) ).

fof(f561,plain,
    ~ spl16_8,
    inference(avatar_contradiction_clause,[],[f560]) ).

fof(f567,plain,
    ( occurrence_of(sK14(sK15),tptp2)
    | ~ occurrence_of(sK15,tptp0)
    | spl16_21 ),
    inference(resolution,[],[f538,f181]) ).

fof(f568,plain,
    ( occurrence_of(sK14(sK15),tptp2)
    | spl16_21 ),
    inference(forward_subsumption_resolution,[],[f567,f197]) ).

fof(f569,plain,
    ( spl16_23
    | spl16_21 ),
    inference(avatar_split_clause,[],[f568,f536,f544]) ).

fof(f575,plain,
    ( ! [X0] :
        ( ~ occurrence_of(sK14(sK15),X0)
        | tptp1 = X0 )
    | ~ spl16_21 ),
    inference(resolution,[],[f537,f136]) ).

fof(f587,plain,
    ( tptp1 = sK4(sK14(sK15))
    | ~ activity_occurrence(sK14(sK15))
    | ~ spl16_21 ),
    inference(resolution,[],[f575,f141]) ).

fof(f590,plain,
    ( tptp1 = sK4(sK14(sK15))
    | ~ spl16_1
    | ~ spl16_21 ),
    inference(forward_subsumption_resolution,[],[f587,f277]) ).

fof(f606,plain,
    ( ~ arboreal(sK12(sK15))
    | sK12(sK15) = sK14(sK15)
    | ~ spl16_3
    | ~ spl16_17 ),
    inference(resolution,[],[f515,f318]) ).

fof(f609,plain,
    ( sK12(sK15) = sK14(sK15)
    | ~ spl16_3
    | ~ spl16_17 ),
    inference(forward_subsumption_resolution,[],[f606,f319]) ).

fof(f632,plain,
    ( tptp1 = sK4(sK12(sK15))
    | ~ spl16_1
    | ~ spl16_3
    | ~ spl16_17
    | ~ spl16_21 ),
    inference(superposition,[],[f590,f609]) ).

fof(f640,plain,
    ( tptp3 = tptp1
    | ~ spl16_1
    | ~ spl16_3
    | ~ spl16_4
    | ~ spl16_17
    | ~ spl16_21 ),
    inference(forward_demodulation,[],[f632,f440]) ).

fof(f644,definition,
    ( spl16_24
  <=> occurrence_of(sK12(sK15),tptp2) ),
    introduced(definition,[new_symbols(definition,[spl16_24])],[avatar_definition]) ).

fof(f645,plain,
    ( ~ occurrence_of(sK12(sK15),tptp2)
    | spl16_24 ),
    inference(avatar_component_clause,[],[f644]) ).

fof(f646,plain,
    ( occurrence_of(sK12(sK15),tptp2)
    | ~ spl16_24 ),
    inference(avatar_component_clause,[],[f644]) ).

fof(f648,definition,
    ( spl16_25
  <=> occurrence_of(sK12(sK15),tptp1) ),
    introduced(definition,[new_symbols(definition,[spl16_25])],[avatar_definition]) ).

fof(f652,plain,
    ( $false
    | ~ spl16_1
    | ~ spl16_3
    | ~ spl16_4
    | ~ spl16_17
    | ~ spl16_21 ),
    inference(forward_subsumption_resolution,[],[f640,f195]) ).

fof(f653,plain,
    ( ~ spl16_1
    | ~ spl16_3
    | ~ spl16_4
    | ~ spl16_17
    | ~ spl16_21 ),
    inference(avatar_contradiction_clause,[],[f652]) ).

fof(f762,plain,
    ( ! [X0] :
        ( ~ occurrence_of(sK15,X0)
        | ~ occurrence_of(sK15,X0) )
    | ~ spl16_5
    | ~ spl16_20 ),
    inference(resolution,[],[f360,f527]) ).

fof(f770,plain,
    ( ! [X0] : ~ occurrence_of(sK15,X0)
    | ~ spl16_5
    | ~ spl16_20 ),
    inference(duplicate_literal_removal,[],[f762]) ).

fof(f776,plain,
    ( spl16_8
    | ~ spl16_5
    | ~ spl16_20 ),
    inference(avatar_split_clause,[],[f770,f526,f358,f377]) ).

fof(f808,plain,
    ( tptp3 = tptp2
    | ~ occurrence_of(sK15,tptp0)
    | ~ spl16_24 ),
    inference(resolution,[],[f646,f234]) ).

fof(f815,plain,
    ( ~ occurrence_of(sK15,tptp0)
    | ~ spl16_24 ),
    inference(forward_subsumption_resolution,[],[f808,f194]) ).

fof(f821,plain,
    ( $false
    | ~ spl16_24 ),
    inference(forward_subsumption_resolution,[],[f815,f197]) ).

fof(f822,plain,
    ~ spl16_24,
    inference(avatar_contradiction_clause,[],[f821]) ).

fof(f919,plain,
    ( ~ occurrence_of(sK12(sK15),tptp3)
    | sK12(sK15) = sK14(sK15)
    | ~ arboreal(sK12(sK15))
    | ~ spl16_3
    | ~ spl16_22 ),
    inference(resolution,[],[f541,f305]) ).

fof(f922,plain,
    ( sK12(sK15) = sK14(sK15)
    | ~ arboreal(sK12(sK15))
    | ~ spl16_3
    | ~ spl16_4
    | ~ spl16_22 ),
    inference(forward_subsumption_resolution,[],[f919,f404]) ).

fof(f924,plain,
    ( sK12(sK15) = sK14(sK15)
    | ~ spl16_3
    | ~ spl16_4
    | ~ spl16_22 ),
    inference(forward_subsumption_resolution,[],[f922,f319]) ).

fof(f934,plain,
    ( ~ root_occ(sK12(sK15),sK15)
    | ~ spl16_3
    | ~ spl16_4
    | spl16_5
    | ~ spl16_22 ),
    inference(superposition,[],[f359,f924]) ).

fof(f941,plain,
    ( ~ occurrence_of(sK12(sK15),tptp1)
    | ~ spl16_3
    | ~ spl16_4
    | spl16_21
    | ~ spl16_22 ),
    inference(superposition,[],[f538,f924]) ).

fof(f961,plain,
    ( occurrence_of(sK12(sK15),tptp1)
    | occurrence_of(sK12(sK15),tptp2)
    | ~ occurrence_of(sK15,tptp0)
    | ~ spl16_3
    | ~ spl16_4
    | ~ spl16_22 ),
    inference(superposition,[],[f181,f924]) ).

fof(f966,plain,
    ( occurrence_of(sK12(sK15),tptp1)
    | ~ occurrence_of(sK15,tptp0)
    | ~ spl16_3
    | ~ spl16_4
    | ~ spl16_22
    | spl16_24 ),
    inference(forward_subsumption_resolution,[],[f961,f645]) ).

fof(f971,plain,
    ( ~ spl16_25
    | ~ spl16_3
    | ~ spl16_4
    | spl16_21
    | ~ spl16_22 ),
    inference(avatar_split_clause,[],[f941,f540,f536,f308,f304,f648]) ).

fof(f972,plain,
    ( $false
    | ~ spl16_3
    | ~ spl16_4
    | spl16_5
    | ~ spl16_22 ),
    inference(forward_subsumption_resolution,[],[f934,f305]) ).

fof(f973,plain,
    ( ~ spl16_3
    | ~ spl16_4
    | spl16_5
    | ~ spl16_22 ),
    inference(avatar_contradiction_clause,[],[f972]) ).

fof(f974,plain,
    ( occurrence_of(sK12(sK15),tptp1)
    | ~ spl16_3
    | ~ spl16_4
    | ~ spl16_22
    | spl16_24 ),
    inference(forward_subsumption_resolution,[],[f966,f197]) ).

fof(f977,plain,
    ( spl16_25
    | ~ spl16_3
    | ~ spl16_4
    | ~ spl16_22
    | spl16_24 ),
    inference(avatar_split_clause,[],[f974,f644,f540,f308,f304,f648]) ).

cnf(s2,plain,
    spl16_1,
    inference(sat_conversion,[],[f267]) ).

cnf(s3,plain,
    ( ~ spl16_3
    | spl16_4 ),
    inference(sat_conversion,[],[f311]) ).

cnf(s4,plain,
    spl16_3,
    inference(sat_conversion,[],[f314]) ).

cnf(s15,plain,
    ( ~ spl16_1
    | spl16_17
    | spl16_20 ),
    inference(sat_conversion,[],[f528]) ).

cnf(s16,plain,
    ( ~ spl16_1
    | ~ spl16_21
    | spl16_22 ),
    inference(sat_conversion,[],[f542]) ).

cnf(s17,plain,
    ( ~ spl16_1
    | spl16_22
    | ~ spl16_23 ),
    inference(sat_conversion,[],[f547]) ).

cnf(s21,plain,
    ~ spl16_8,
    inference(sat_conversion,[],[f561]) ).

cnf(s22,plain,
    ( spl16_21
    | spl16_23 ),
    inference(sat_conversion,[],[f569]) ).

cnf(s25,plain,
    ( ~ spl16_1
    | ~ spl16_3
    | ~ spl16_4
    | ~ spl16_17
    | ~ spl16_21 ),
    inference(sat_conversion,[],[f653]) ).

cnf(s35,plain,
    ( ~ spl16_5
    | spl16_8
    | ~ spl16_20 ),
    inference(sat_conversion,[],[f776]) ).

cnf(s42,plain,
    ~ spl16_24,
    inference(sat_conversion,[],[f822]) ).

cnf(s47,plain,
    ( ~ spl16_3
    | ~ spl16_4
    | spl16_21
    | ~ spl16_22
    | ~ spl16_25 ),
    inference(sat_conversion,[],[f971]) ).

cnf(s48,plain,
    ( ~ spl16_3
    | ~ spl16_4
    | spl16_5
    | ~ spl16_22 ),
    inference(sat_conversion,[],[f973]) ).

cnf(s50,plain,
    ( ~ spl16_3
    | ~ spl16_4
    | ~ spl16_22
    | spl16_24
    | spl16_25 ),
    inference(sat_conversion,[],[f977]) ).

cnf(s57,plain,
    spl16_4,
    inference(rat,[],[s3,s4]) ).

cnf(s61,plain,
    spl16_22,
    inference(rat,[],[s22,s16,s17,s2]) ).

cnf(s62,plain,
    spl16_25,
    inference(rat,[],[s50,s57,s42,s4,s61]) ).

cnf(s64,plain,
    spl16_5,
    inference(rat,[],[s48,s57,s4,s61]) ).

cnf(s65,plain,
    spl16_21,
    inference(rat,[],[s47,s62,s57,s4,s61]) ).

cnf(s66,plain,
    ~ spl16_20,
    inference(rat,[],[s35,s21,s64]) ).

cnf(s70,plain,
    ~ spl16_17,
    inference(rat,[],[s25,s2,s57,s4,s65]) ).

cnf(s71,plain,
    $false,
    inference(rat,[],[s15,s2,s66,s70]) ).

fof(f978,plain,
    $false,
    inference(avatar_sat_refutation,[],[s71]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02  % Problem  : PRO009+4 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05  % Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.10/0.37  % Computer : n020.cluster.edu
% 0.10/0.37  % Model    : x86_64 x86_64
% 0.10/0.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37  % Memory   : 8046.5625MB
% 0.10/0.37  % OS       : Linux 6.8.0-71-generic
% 0.10/0.37  % CPULimit : 300
% 0.10/0.37  % WCLimit  : 300
% 0.10/0.37  % DateTime : Sun Sep 27 22:20:49 UTC 2026
% 0.10/0.37  % CPUTime  : 
% 0.10/0.37  Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.10/0.40  Running first-order model finding
% 0.10/0.41  Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.37/0.47  % (3821463)Will run a generic schedule for satisfiability detection.
% 0.37/0.47  % (3821468)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=404792774_2999 on theBenchmark for (2999ds/0Mi)
% 0.37/0.47  % Detected minimum model sizes of [4]
% 0.37/0.47  % Detected maximum model sizes of [max]
% 0.37/0.47  % TRYING [4]
% 0.37/0.47  % (3821469)% WARNING: option uhcvi not known.
% 0.37/0.47  % TRYING [5]
% 0.37/0.47  % (3821470)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3099319308:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.37/0.47  % (3821471)dis+10_1_sil=32000:sp=arity:random_seed=733982583:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.37/0.47  % (3821474)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=1755962593:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.37/0.47  % (3821472)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1242858424:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.37/0.47  % (3821473)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=3817253757:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.37/0.47  % (3821469)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1339913834:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.37/0.47  % TRYING [6]
% 0.37/0.47  % (3821471) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3821463-3821471"...
% 0.37/0.47  % (3821471)...printing done.
% 0.37/0.47  % (3821471)Refutation found. Thanks to Tanya!
% 0.37/0.47  % SZS status Theorem for theBenchmark
% 0.37/0.47  % SZS output start Proof for theBenchmark
% See solution above
% 0.37/0.48  % (3821471)------------------------------
% 0.37/0.48  % (3821471)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.37/0.48  % (3821471)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.37/0.48  % (3821471)CaDiCaL version: 2.1.3
% 0.37/0.48  % (3821471)Termination reason: Refutation
% 0.37/0.48  % (3821471)Time elapsed: 0.025 s
% 0.37/0.48  % (3821471)Peak memory usage: 13 MB
% 0.37/0.48  % (3821471)Instructions burned: 33 (million)
% 0.37/0.48  % (3821463)Success in time 0.059 s
% 0.37/0.48  % Vampire exiting
%------------------------------------------------------------------------------