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

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%------------------------------------------------------------------------------
% File     : Vampire-SAT---5.0.1
% Problem  : PRO003+3 : 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 12:30:33 PM UTC 2026

% Result   : Theorem 73.47s 10.83s
% Output   : Refutation 73.47s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   16
%            Number of leaves      :   12
% Syntax   : Number of formulae    :   83 (  30 unt;   0 def)
%            Number of atoms       :  255 (  19 equ)
%            Maximal formula atoms :    8 (   3 avg)
%            Number of connectives :  283 ( 111   ~; 103   |;  57   &)
%                                         (   5 <=>;   7  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   11 (   5 avg)
%            Maximal term depth    :    5 (   1 avg)
%            Number of predicates  :   11 (   9 usr;   1 prp; 0-3 aty)
%            Number of functors    :   11 (  11 usr;   5 con; 0-3 aty)
%            Number of variables   :  162 ( 143   !;  19   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f3,axiom,
    ! [X0,X1,X2] :
      ( ( occurrence_of(X0,X1)
        & occurrence_of(X0,X2) )
     => 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(f23,axiom,
    ! [X0,X1,X2] :
      ( next_subocc(X0,X1,X2)
    <=> ( min_precedes(X0,X1,X2)
        & ~ ? [X3] :
              ( min_precedes(X0,X3,X2)
              & min_precedes(X3,X1,X2) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_22) ).

fof(f26,axiom,
    ! [X0,X1,X2] :
      ( min_precedes(X1,X2,X0)
     => ? [X3] :
          ( occurrence_of(X3,X0)
          & subactivity_occurrence(X1,X3)
          & subactivity_occurrence(X2,X3) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_25) ).

fof(f34,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_33) ).

fof(f36,axiom,
    ! [X0,X1,X2,X3] :
      ( ( occurrence_of(X2,X3)
        & root_occ(X0,X2)
        & root_occ(X1,X2) )
     => X0 = X1 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_35) ).

fof(f44,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_43) ).

fof(f50,axiom,
    ! [X0] :
      ( occurrence_of(X0,tptp0)
     => ? [X1,X2] :
          ( occurrence_of(X1,tptp4)
          & root_occ(X1,X0)
          & occurrence_of(X2,tptp3)
          & leaf_occ(X2,X0)
          & next_subocc(X1,X2,tptp0) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_49) ).

fof(f56,axiom,
    atomic(tptp1),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_55) ).

fof(f60,axiom,
    tptp1 != tptp3,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_59) ).

fof(f63,axiom,
    ! [X0,X1] :
      ( ( occurrence_of(X1,tptp0)
        & root_occ(X0,X1) )
     => ? [X2] :
          ( occurrence_of(X2,tptp1)
          & next_subocc(X0,X2,tptp0) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_62) ).

fof(f64,conjecture,
    ~ ? [X0] : occurrence_of(X0,tptp0),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goals) ).

fof(f65,negated_conjecture,
    ~ ~ ? [X0] : occurrence_of(X0,tptp0),
    inference(negated_conjecture,[status(cth)],[f64]) ).

fof(f66,plain,
    ? [X0] : occurrence_of(X0,tptp0),
    inference(flattening,[],[f65]) ).

fof(f69,plain,
    ! [X0,X1,X2] :
      ( X1 = X2
      | ~ occurrence_of(X0,X1)
      | ~ occurrence_of(X0,X2) ),
    inference(ennf_transformation,[],[f3]) ).

fof(f70,plain,
    ! [X0,X1,X2] :
      ( X1 = X2
      | ~ occurrence_of(X0,X1)
      | ~ occurrence_of(X0,X2) ),
    inference(flattening,[],[f69]) ).

fof(f77,plain,
    ! [X0,X1] :
      ( ( arboreal(X0)
      <=> atomic(X1) )
      | ~ occurrence_of(X0,X1) ),
    inference(ennf_transformation,[],[f8]) ).

fof(f95,plain,
    ! [X0,X1,X2] :
      ( next_subocc(X0,X1,X2)
    <=> ( min_precedes(X0,X1,X2)
        & ! [X3] :
            ( ~ min_precedes(X0,X3,X2)
            | ~ min_precedes(X3,X1,X2) ) ) ),
    inference(ennf_transformation,[],[f23]) ).

fof(f97,plain,
    ! [X0,X1,X2] :
      ( ? [X3] :
          ( occurrence_of(X3,X0)
          & subactivity_occurrence(X1,X3)
          & subactivity_occurrence(X2,X3) )
      | ~ min_precedes(X1,X2,X0) ),
    inference(ennf_transformation,[],[f26]) ).

fof(f112,plain,
    ! [X0,X1,X2,X3] :
      ( X0 = X1
      | ~ occurrence_of(X2,X3)
      | ~ root_occ(X0,X2)
      | ~ root_occ(X1,X2) ),
    inference(ennf_transformation,[],[f36]) ).

fof(f113,plain,
    ! [X0,X1,X2,X3] :
      ( X0 = X1
      | ~ occurrence_of(X2,X3)
      | ~ root_occ(X0,X2)
      | ~ root_occ(X1,X2) ),
    inference(flattening,[],[f112]) ).

fof(f128,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,[],[f44]) ).

fof(f129,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,[],[f128]) ).

fof(f138,plain,
    ! [X0] :
      ( ? [X1,X2] :
          ( occurrence_of(X1,tptp4)
          & root_occ(X1,X0)
          & occurrence_of(X2,tptp3)
          & leaf_occ(X2,X0)
          & next_subocc(X1,X2,tptp0) )
      | ~ occurrence_of(X0,tptp0) ),
    inference(ennf_transformation,[],[f50]) ).

fof(f139,plain,
    ! [X0,X1] :
      ( ? [X2] :
          ( occurrence_of(X2,tptp1)
          & next_subocc(X0,X2,tptp0) )
      | ~ occurrence_of(X1,tptp0)
      | ~ root_occ(X0,X1) ),
    inference(ennf_transformation,[],[f63]) ).

fof(f140,plain,
    ! [X0,X1] :
      ( ? [X2] :
          ( occurrence_of(X2,tptp1)
          & next_subocc(X0,X2,tptp0) )
      | ~ occurrence_of(X1,tptp0)
      | ~ root_occ(X0,X1) ),
    inference(flattening,[],[f139]) ).

fof(f142,plain,
    ! [X0,X1] :
      ( ( ( arboreal(X0)
          | ~ atomic(X1) )
        & ( atomic(X1)
          | ~ arboreal(X0) ) )
      | ~ occurrence_of(X0,X1) ),
    inference(nnf_transformation,[],[f77]) ).

fof(f152,plain,
    ! [X0,X1,X2] :
      ( ( next_subocc(X0,X1,X2)
        | ~ min_precedes(X0,X1,X2)
        | ? [X3] :
            ( min_precedes(X0,X3,X2)
            & min_precedes(X3,X1,X2) ) )
      & ( ( min_precedes(X0,X1,X2)
          & ! [X3] :
              ( ~ min_precedes(X0,X3,X2)
              | ~ min_precedes(X3,X1,X2) ) )
        | ~ next_subocc(X0,X1,X2) ) ),
    inference(nnf_transformation,[],[f95]) ).

fof(f153,plain,
    ! [X0,X1,X2] :
      ( ( next_subocc(X0,X1,X2)
        | ~ min_precedes(X0,X1,X2)
        | ? [X3] :
            ( min_precedes(X0,X3,X2)
            & min_precedes(X3,X1,X2) ) )
      & ( ( min_precedes(X0,X1,X2)
          & ! [X3] :
              ( ~ min_precedes(X0,X3,X2)
              | ~ min_precedes(X3,X1,X2) ) )
        | ~ next_subocc(X0,X1,X2) ) ),
    inference(flattening,[],[f152]) ).

fof(f154,plain,
    ! [X0,X1,X2] :
      ( ( next_subocc(X0,X1,X2)
        | ~ min_precedes(X0,X1,X2)
        | ? [X3] :
            ( min_precedes(X0,X3,X2)
            & min_precedes(X3,X1,X2) ) )
      & ( ( min_precedes(X0,X1,X2)
          & ! [X4] :
              ( ~ min_precedes(X0,X4,X2)
              | ~ min_precedes(X4,X1,X2) ) )
        | ~ next_subocc(X0,X1,X2) ) ),
    inference(rectify,[],[f153]) ).

fof(f155,plain,
    ! [X0,X1,X2] :
      ( ( next_subocc(X0,X1,X2)
        | ~ min_precedes(X0,X1,X2)
        | ( min_precedes(X0,sK7(X0,X1,X2),X2)
          & min_precedes(sK7(X0,X1,X2),X1,X2) ) )
      & ( ( min_precedes(X0,X1,X2)
          & ! [X4] :
              ( ~ min_precedes(X0,X4,X2)
              | ~ min_precedes(X4,X1,X2) ) )
        | ~ next_subocc(X0,X1,X2) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK7]),skolemize(X3,sK7(X0,X1,X2))],[f154]) ).

fof(f159,plain,
    ! [X0,X1,X2] :
      ( ( occurrence_of(sK9(X0,X1,X2),X0)
        & subactivity_occurrence(X1,sK9(X0,X1,X2))
        & subactivity_occurrence(X2,sK9(X0,X1,X2)) )
      | ~ min_precedes(X1,X2,X0) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK9]),skolemize(X3,sK9(X0,X1,X2))],[f97]) ).

fof(f163,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,[],[f34]) ).

fof(f164,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,[],[f163]) ).

fof(f165,plain,
    ! [X0,X1] :
      ( ( root_occ(X0,X1)
        | ! [X2] :
            ( ~ occurrence_of(X1,X2)
            | ~ subactivity_occurrence(X0,X1)
            | ~ root(X0,X2) ) )
      & ( ( occurrence_of(X1,sK13(X0,X1))
          & subactivity_occurrence(X0,X1)
          & root(X0,sK13(X0,X1)) )
        | ~ root_occ(X0,X1) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK13]),skolemize(X3,sK13(X0,X1))],[f164]) ).

fof(f170,plain,
    ! [X0] :
      ( ( occurrence_of(sK16(X0),tptp4)
        & root_occ(sK16(X0),X0)
        & occurrence_of(sK17(X0),tptp3)
        & leaf_occ(sK17(X0),X0)
        & next_subocc(sK16(X0),sK17(X0),tptp0) )
      | ~ occurrence_of(X0,tptp0) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK16,sK17]),skolemize(X1,sK16(X0)),skolemize(X2,sK17(X0))],[f138]) ).

fof(f171,plain,
    ! [X0,X1] :
      ( ( occurrence_of(sK18(X0),tptp1)
        & next_subocc(X0,sK18(X0),tptp0) )
      | ~ occurrence_of(X1,tptp0)
      | ~ root_occ(X0,X1) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK18]),skolemize(X2,sK18(X0))],[f140]) ).

fof(f172,plain,
    occurrence_of(sK19,tptp0),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK19]),skolemize(X0,sK19)],[f66]) ).

fof(f177,plain,
    ! [X2,X0,X1] :
      ( ~ occurrence_of(X0,X2)
      | ~ occurrence_of(X0,X1)
      | X1 = X2 ),
    inference(cnf_transformation,[],[f70]) ).

fof(f183,plain,
    ! [X0,X1] :
      ( ~ occurrence_of(X0,X1)
      | ~ atomic(X1)
      | arboreal(X0) ),
    inference(cnf_transformation,[],[f142]) ).

fof(f208,plain,
    ! [X2,X0,X1,X4] :
      ( ~ next_subocc(X0,X1,X2)
      | ~ min_precedes(X4,X1,X2)
      | ~ min_precedes(X0,X4,X2) ),
    inference(cnf_transformation,[],[f155]) ).

fof(f209,plain,
    ! [X2,X0,X1] :
      ( ~ next_subocc(X0,X1,X2)
      | min_precedes(X0,X1,X2) ),
    inference(cnf_transformation,[],[f155]) ).

fof(f218,plain,
    ! [X2,X0,X1] :
      ( subactivity_occurrence(X2,sK9(X0,X1,X2))
      | ~ min_precedes(X1,X2,X0) ),
    inference(cnf_transformation,[],[f159]) ).

fof(f219,plain,
    ! [X2,X0,X1] :
      ( subactivity_occurrence(X1,sK9(X0,X1,X2))
      | ~ min_precedes(X1,X2,X0) ),
    inference(cnf_transformation,[],[f159]) ).

fof(f220,plain,
    ! [X2,X0,X1] :
      ( ~ min_precedes(X1,X2,X0)
      | occurrence_of(sK9(X0,X1,X2),X0) ),
    inference(cnf_transformation,[],[f159]) ).

fof(f231,plain,
    ! [X0,X1] :
      ( root(X0,sK13(X0,X1))
      | ~ root_occ(X0,X1) ),
    inference(cnf_transformation,[],[f165]) ).

fof(f233,plain,
    ! [X0,X1] :
      ( ~ root_occ(X0,X1)
      | occurrence_of(X1,sK13(X0,X1)) ),
    inference(cnf_transformation,[],[f165]) ).

fof(f234,plain,
    ! [X2,X0,X1] :
      ( ~ subactivity_occurrence(X0,X1)
      | ~ occurrence_of(X1,X2)
      | root_occ(X0,X1)
      | ~ root(X0,X2) ),
    inference(cnf_transformation,[],[f165]) ).

fof(f239,plain,
    ! [X2,X3,X0,X1] :
      ( ~ root_occ(X1,X2)
      | ~ occurrence_of(X2,X3)
      | ~ root_occ(X0,X2)
      | X0 = X1 ),
    inference(cnf_transformation,[],[f113]) ).

fof(f247,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,[],[f129]) ).

fof(f255,plain,
    ! [X0] :
      ( next_subocc(sK16(X0),sK17(X0),tptp0)
      | ~ occurrence_of(X0,tptp0) ),
    inference(cnf_transformation,[],[f170]) ).

fof(f256,plain,
    ! [X0] :
      ( leaf_occ(sK17(X0),X0)
      | ~ occurrence_of(X0,tptp0) ),
    inference(cnf_transformation,[],[f170]) ).

fof(f257,plain,
    ! [X0] :
      ( occurrence_of(sK17(X0),tptp3)
      | ~ occurrence_of(X0,tptp0) ),
    inference(cnf_transformation,[],[f170]) ).

fof(f258,plain,
    ! [X0] :
      ( root_occ(sK16(X0),X0)
      | ~ occurrence_of(X0,tptp0) ),
    inference(cnf_transformation,[],[f170]) ).

fof(f265,plain,
    atomic(tptp1),
    inference(cnf_transformation,[],[f56]) ).

fof(f269,plain,
    tptp3 != tptp1,
    inference(cnf_transformation,[],[f60]) ).

fof(f272,plain,
    ! [X0,X1] :
      ( next_subocc(X0,sK18(X0),tptp0)
      | ~ occurrence_of(X1,tptp0)
      | ~ root_occ(X0,X1) ),
    inference(cnf_transformation,[],[f171]) ).

fof(f273,plain,
    ! [X0,X1] :
      ( ~ root_occ(X0,X1)
      | ~ occurrence_of(X1,tptp0)
      | occurrence_of(sK18(X0),tptp1) ),
    inference(cnf_transformation,[],[f171]) ).

fof(f274,plain,
    occurrence_of(sK19,tptp0),
    inference(cnf_transformation,[],[f172]) ).

fof(f394,plain,
    root_occ(sK16(sK19),sK19),
    inference(unit_resulting_resolution,[],[f258,f274]) ).

fof(f498,plain,
    root(sK16(sK19),sK13(sK16(sK19),sK19)),
    inference(unit_resulting_resolution,[],[f231,f394]) ).

fof(f559,plain,
    occurrence_of(sK19,sK13(sK16(sK19),sK19)),
    inference(unit_resulting_resolution,[],[f233,f394]) ).

fof(f892,plain,
    tptp0 = sK13(sK16(sK19),sK19),
    inference(unit_resulting_resolution,[],[f177,f559,f274]) ).

fof(f1165,plain,
    root(sK16(sK19),tptp0),
    inference(superposition,[],[f498,f892]) ).

fof(f4803,plain,
    occurrence_of(sK18(sK16(sK19)),tptp1),
    inference(unit_resulting_resolution,[],[f273,f394,f274]) ).

fof(f4820,plain,
    arboreal(sK18(sK16(sK19))),
    inference(unit_resulting_resolution,[],[f183,f265,f4803]) ).

fof(f5530,plain,
    next_subocc(sK16(sK19),sK18(sK16(sK19)),tptp0),
    inference(unit_resulting_resolution,[],[f272,f394,f274]) ).

fof(f5601,plain,
    min_precedes(sK16(sK19),sK18(sK16(sK19)),tptp0),
    inference(unit_resulting_resolution,[],[f209,f5530]) ).

fof(f5618,plain,
    subactivity_occurrence(sK18(sK16(sK19)),sK9(tptp0,sK16(sK19),sK18(sK16(sK19)))),
    inference(unit_resulting_resolution,[],[f218,f5601]) ).

fof(f5619,plain,
    subactivity_occurrence(sK16(sK19),sK9(tptp0,sK16(sK19),sK18(sK16(sK19)))),
    inference(unit_resulting_resolution,[],[f219,f5601]) ).

fof(f5620,plain,
    occurrence_of(sK9(tptp0,sK16(sK19),sK18(sK16(sK19))),tptp0),
    inference(unit_resulting_resolution,[],[f220,f5601]) ).

fof(f7125,plain,
    occurrence_of(sK17(sK9(tptp0,sK16(sK19),sK18(sK16(sK19)))),tptp3),
    inference(unit_resulting_resolution,[],[f257,f5620]) ).

fof(f7408,plain,
    ! [X2,X0,X1] :
      ( ~ root_occ(X2,X0)
      | ~ occurrence_of(X0,X1)
      | sK16(X0) = X2
      | ~ occurrence_of(X0,tptp0) ),
    inference(resolution,[],[f239,f258]) ).

fof(f11467,plain,
    root_occ(sK16(sK19),sK9(tptp0,sK16(sK19),sK18(sK16(sK19)))),
    inference(unit_resulting_resolution,[],[f234,f1165,f5620,f5619]) ).

fof(f13725,plain,
    ~ occurrence_of(sK17(sK9(tptp0,sK16(sK19),sK18(sK16(sK19)))),tptp1),
    inference(unit_resulting_resolution,[],[f177,f269,f7125]) ).

fof(f15092,plain,
    ! [X2,X0,X1] :
      ( ~ subactivity_occurrence(X2,X0)
      | ~ occurrence_of(X0,X1)
      | sK17(X0) = X2
      | ~ arboreal(X2)
      | min_precedes(X2,sK17(X0),X1)
      | ~ occurrence_of(X0,tptp0) ),
    inference(resolution,[],[f247,f256]) ).

fof(f28813,plain,
    sK16(sK19) = sK16(sK9(tptp0,sK16(sK19),sK18(sK16(sK19)))),
    inference(unit_resulting_resolution,[],[f7408,f5620,f11467,f5620]) ).

fof(f28953,plain,
    ( next_subocc(sK16(sK19),sK17(sK9(tptp0,sK16(sK19),sK18(sK16(sK19)))),tptp0)
    | ~ occurrence_of(sK9(tptp0,sK16(sK19),sK18(sK16(sK19))),tptp0) ),
    inference(superposition,[],[f255,f28813]) ).

fof(f28988,plain,
    next_subocc(sK16(sK19),sK17(sK9(tptp0,sK16(sK19),sK18(sK16(sK19)))),tptp0),
    inference(forward_subsumption_resolution,[],[f28953,f5620]) ).

fof(f29911,plain,
    ~ min_precedes(sK18(sK16(sK19)),sK17(sK9(tptp0,sK16(sK19),sK18(sK16(sK19)))),tptp0),
    inference(unit_resulting_resolution,[],[f208,f5601,f28988]) ).

fof(f42790,plain,
    sK18(sK16(sK19)) = sK17(sK9(tptp0,sK16(sK19),sK18(sK16(sK19)))),
    inference(unit_resulting_resolution,[],[f15092,f4820,f5620,f5620,f5618,f29911]) ).

fof(f43029,plain,
    ~ occurrence_of(sK18(sK16(sK19)),tptp1),
    inference(superposition,[],[f13725,f42790]) ).

fof(f43134,plain,
    $false,
    inference(forward_subsumption_resolution,[],[f43029,f4803]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : PRO003+3 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.06  % 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 22:17:05 UTC 2026
% 0.10/0.38  % CPUTime  : 
% 0.10/0.38  Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.10/0.43  Running first-order model finding
% 0.10/0.43  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
% 15.60/2.71  % (3817873)Will run a generic schedule for satisfiability detection.
% 15.60/2.71  % (3817882)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=4248122205:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 15.60/2.71  % (3817879)% WARNING: option uhcvi not known.
% 15.60/2.71  % (3817878)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1107708223_2999 on theBenchmark for (2999ds/0Mi)
% 15.60/2.71  % (3817881)dis+10_1_sil=32000:sp=arity:random_seed=3624802250:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 15.60/2.71  % (3817880)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=949102352:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 15.60/2.71  % (3817879)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1878503136:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 15.60/2.71  % (3817883)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=704577906:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 15.60/2.71  % (3817884)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=697023627:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 15.60/2.71  % Detected minimum model sizes of [4]
% 15.60/2.71  % Detected maximum model sizes of [max]
% 15.60/2.71  % TRYING [4]
% 15.60/2.71  % TRYING [5]
% 15.60/2.71  % (3817882)Instruction limit reached! 
% 15.60/2.71  % (3817882)------------------------------
% 15.60/2.71  % (3817882)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.60/2.71  % (3817882)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.60/2.71  % (3817882)CaDiCaL version: 2.1.3
% 15.60/2.71  % (3817882)Termination reason: Instruction limit
% 15.60/2.71  % (3817882)Termination phase: Saturation
% 15.60/2.71  % (3817882)Time elapsed: 0.060 s
% 15.60/2.71  % (3817882)Peak memory usage: 12 MB
% 15.60/2.71  % (3817882)Instructions burned: 116 (million)
% 15.60/2.71  % (3817893)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=3395485922:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 15.60/2.71  % Detected minimum model sizes of [4]
% 15.60/2.71  % Detected maximum model sizes of [max]
% 15.60/2.71  % TRYING [4]
% 15.60/2.71  % TRYING [5]
% 15.60/2.71  % TRYING [6]
% 15.60/2.71  % (3817881)Instruction limit reached! 
% 15.60/2.71  % (3817881)------------------------------
% 15.60/2.71  % (3817881)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.60/2.71  % (3817881)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.60/2.71  % (3817881)CaDiCaL version: 2.1.3
% 15.60/2.71  % (3817881)Termination reason: Instruction limit
% 15.60/2.71  % (3817881)Termination phase: Saturation
% 15.60/2.71  % (3817881)Time elapsed: 0.113 s
% 15.60/2.71  % (3817881)Peak memory usage: 12 MB
% 15.60/2.71  % (3817881)Instructions burned: 103 (million)
% 15.60/2.71  % TRYING [6]
% 15.60/2.71  % (3817897)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=790729247:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 15.60/2.71  % (3817883)Instruction limit reached! 
% 15.60/2.71  % (3817883)------------------------------
% 15.60/2.71  % (3817883)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.60/2.71  % (3817883)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.60/2.71  % (3817883)CaDiCaL version: 2.1.3
% 15.60/2.71  % (3817883)Termination reason: Instruction limit
% 15.60/2.71  % (3817883)Termination phase: Saturation
% 15.60/2.71  % (3817883)Time elapsed: 0.144 s
% 15.60/2.71  % (3817883)Peak memory usage: 13 MB
% 15.60/2.71  % (3817883)Instructions burned: 131 (million)
% 15.60/2.71  % (3817899)dis+11_32_anc=none:slsqr=2,1:sil=64000:sas=cadical:lma=off:lsd=50:s2agt=8:slsqc=1:kmz=on:newcnf=on:slsq=on:random_seed=1489504187:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 15.60/2.71  % (3817884)Instruction limit reached! 
% 15.60/2.71  % (3817884)------------------------------
% 15.60/2.71  % (3817884)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.60/2.71  % (3817884)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.60/2.71  % (3817884)CaDiCaL version: 2.1.3
% 15.60/2.71  % (3817884)Termination reason: Instruction limit
% 15.60/2.71  % (3817884)Termination phase: Saturation
% 15.60/2.71  % (3817884)Time elapsed: 0.187 s
% 15.60/2.71  % (3817884)Peak memory usage: 14 MB
% 15.60/2.71  % (3817884)Instructions burned: 159 (million)
% 15.60/2.71  % (3817901)ott-21_1_sil=16000:fs=off:random_seed=1985310954:i=180:av=off:fsr=off_2997 on theBenchmark for (2997ds/180Mi)
% 15.60/2.71  % TRYING [7]
% 15.60/2.71  % (3817897)Instruction limit reached! 
% 15.60/2.71  % (3817897)------------------------------
% 37.07/6.36  % (3817897)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 37.07/6.36  % (3817897)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 37.07/6.36  % (3817897)CaDiCaL version: 2.1.3
% 37.07/6.36  % (3817897)Termination reason: Instruction limit
% 37.07/6.36  % (3817897)Termination phase: Saturation
% 37.07/6.36  % (3817897)Time elapsed: 0.136 s
% 37.07/6.36  % (3817897)Peak memory usage: 12 MB
% 37.07/6.36  % (3817897)Instructions burned: 131 (million)
% 37.07/6.36  % (3817905)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=961000378:i=477:bd=all_2996 on theBenchmark for (2996ds/477Mi)
% 37.07/6.36  % TRYING [7]
% 37.07/6.36  % (3817893)Instruction limit reached! 
% 37.07/6.36  % (3817893)------------------------------
% 37.07/6.36  % (3817893)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 37.07/6.36  % (3817893)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 37.07/6.36  % (3817893)CaDiCaL version: 2.1.3
% 37.07/6.36  % (3817893)Termination reason: Instruction limit
% 37.07/6.36  % (3817893)Termination phase: Finite model building SAT solving
% 37.07/6.36  % (3817893)Time elapsed: 0.273 s
% 37.07/6.36  % (3817893)Peak memory usage: 31 MB
% 37.07/6.36  % (3817893)Instructions burned: 716 (million)
% 37.07/6.36  % (3817909)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=389952090:fmbsr=1.3:i=865:ins=25_2996 on theBenchmark for (2996ds/865Mi)
% 37.07/6.36  % (3817901)Instruction limit reached! 
% 37.07/6.36  % (3817901)------------------------------
% 37.07/6.36  % (3817901)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 37.07/6.36  % (3817901)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 37.07/6.36  % (3817901)CaDiCaL version: 2.1.3
% 37.07/6.36  % (3817901)Termination reason: Instruction limit
% 37.07/6.36  % (3817901)Termination phase: Saturation
% 37.07/6.36  % (3817901)Time elapsed: 0.171 s
% 37.07/6.36  % (3817901)Peak memory usage: 13 MB
% 37.07/6.36  % (3817901)Instructions burned: 180 (million)
% 37.07/6.36  % Detected minimum model sizes of [4]
% 37.07/6.36  % Detected maximum model sizes of [max]
% 37.07/6.36  % TRYING [4]
% 37.07/6.36  % (3817911)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=1494158306:i=1179_2995 on theBenchmark for (2995ds/1179Mi)
% 37.07/6.36  % TRYING [5]
% 37.07/6.36  % TRYING [6]
% 37.07/6.36  % (3817905)Instruction limit reached! 
% 37.07/6.36  % (3817905)------------------------------
% 37.07/6.36  % (3817905)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 37.07/6.36  % (3817905)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 37.07/6.36  % (3817905)CaDiCaL version: 2.1.3
% 37.07/6.36  % (3817905)Termination reason: Instruction limit
% 37.07/6.36  % (3817905)Termination phase: Saturation
% 37.07/6.36  % (3817905)Time elapsed: 0.496 s
% 37.07/6.36  % (3817905)Peak memory usage: 15 MB
% 37.07/6.36  % (3817905)Instructions burned: 477 (million)
% 37.07/6.36  % (3817920)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=3227246629:i=889:ins=1_2991 on theBenchmark for (2991ds/889Mi)
% 37.07/6.36  % TRYING [7]
% 37.07/6.36  % (3817899)Instruction limit reached! 
% 37.07/6.36  % (3817899)------------------------------
% 37.07/6.36  % (3817899)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 37.07/6.36  % (3817899)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 37.07/6.36  % (3817899)CaDiCaL version: 2.1.3
% 37.07/6.36  % (3817899)Termination reason: Instruction limit
% 37.07/6.36  % (3817899)Termination phase: Saturation
% 37.07/6.36  % (3817899)Time elapsed: 0.677 s
% 37.07/6.36  % (3817899)Peak memory usage: 19 MB
% 37.07/6.36  % (3817899)Instructions burned: 684 (million)
% 37.07/6.36  % (3817922)ott+1_16_sil=32000:plsq=on:plsqc=2:sas=cadical:avsql=on:sp=reverse_frequency:plsqr=128,1:bsr=unit_only:rp=on:newcnf=on:random_seed=1762871583:avsq=on:s2a=on:i=692:avsqr=8,1:kws=arity_squared:bs=unit_only:nm=2:rawr=on_2991 on theBenchmark for (2991ds/692Mi)
% 37.07/6.36  % (3817911)Instruction limit reached! 
% 37.07/6.36  % (3817911)------------------------------
% 37.07/6.36  % (3817911)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 37.07/6.36  % (3817911)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 37.07/6.36  % (3817911)CaDiCaL version: 2.1.3
% 37.07/6.36  % (3817911)Termination reason: Instruction limit
% 37.07/6.36  % (3817911)Termination phase: Saturation
% 37.07/6.36  % (3817911)Time elapsed: 0.510 s
% 37.07/6.36  % (3817911)Peak memory usage: 25 MB
% 37.07/6.36  % (3817911)Instructions burned: 1180 (million)
% 37.07/6.36  % (3817924)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=2479849915:i=879:kws=inv_precedence:fsr=off_2990 on theBenchmark for (2990ds/879Mi)
% 73.47/10.83  % (3817909)Instruction limit reached! 
% 73.47/10.83  % (3817909)------------------------------
% 73.47/10.83  % (3817909)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 73.47/10.83  % (3817909)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 73.47/10.83  % (3817909)CaDiCaL version: 2.1.3
% 73.47/10.83  % (3817909)Termination reason: Instruction limit
% 73.47/10.83  % (3817909)Termination phase: Finite model building constraint generation
% 73.47/10.83  % (3817909)Time elapsed: 0.601 s
% 73.47/10.83  % (3817909)Peak memory usage: 23 MB
% 73.47/10.83  % (3817909)Instructions burned: 866 (million)
% 73.47/10.83  % TRYING [14]
% 73.47/10.83  % (3817927)fmb+10_1_sil=64000:random_seed=2076781770:i=22061:nm=2:gsp=on_2989 on theBenchmark for (2989ds/22061Mi)
% 73.47/10.83  % Detected minimum model sizes of [4]
% 73.47/10.83  % Detected maximum model sizes of [max]
% 73.47/10.83  % TRYING [4]
% 73.47/10.83  % TRYING [5]
% 73.47/10.83  % TRYING [6]
% 73.47/10.83  % (3817924)Instruction limit reached! 
% 73.47/10.83  % (3817924)------------------------------
% 73.47/10.83  % (3817924)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 73.47/10.83  % (3817924)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 73.47/10.83  % (3817924)CaDiCaL version: 2.1.3
% 73.47/10.83  % (3817924)Termination reason: Instruction limit
% 73.47/10.83  % (3817924)Termination phase: Saturation
% 73.47/10.83  % (3817924)Time elapsed: 0.421 s
% 73.47/10.83  % (3817924)Peak memory usage: 17 MB
% 73.47/10.83  % (3817924)Instructions burned: 881 (million)
% 73.47/10.83  % (3817920)Instruction limit reached! 
% 73.47/10.83  % (3817920)------------------------------
% 73.47/10.83  % (3817920)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 73.47/10.83  % (3817920)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 73.47/10.83  % (3817920)CaDiCaL version: 2.1.3
% 73.47/10.83  % (3817920)Termination reason: Instruction limit
% 73.47/10.83  % (3817920)Termination phase: Finite model building constraint generation
% 73.47/10.83  % (3817920)Time elapsed: 0.553 s
% 73.47/10.83  % (3817920)Peak memory usage: 73 MB
% 73.47/10.83  % (3817920)Instructions burned: 890 (million)
% 73.47/10.83  % (3817935)fmb+10_1_sil=16000:sas=cadical:fmbss=20:random_seed=3395463615:i=9515:nm=5_2986 on theBenchmark for (2986ds/9515Mi)
% 73.47/10.83  % Detected minimum model sizes of [4]
% 73.47/10.83  % Detected maximum model sizes of [max]
% 73.47/10.83  % TRYING [20]
% 73.47/10.83  % (3817937)fmb+10_1_sil=64000:sas=cadical:fmbss=8:random_seed=668463018:fmbsr=1.7:i=920_2985 on theBenchmark for (2985ds/920Mi)
% 73.47/10.83  % Detected minimum model sizes of [4]
% 73.47/10.83  % Detected maximum model sizes of [max]
% 73.47/10.83  % TRYING [8]
% 73.47/10.83  % TRYING [8]
% 73.47/10.83  % (3817922)Instruction limit reached! 
% 73.47/10.83  % (3817922)------------------------------
% 73.47/10.83  % (3817922)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 73.47/10.83  % (3817922)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 73.47/10.83  % (3817922)CaDiCaL version: 2.1.3
% 73.47/10.83  % (3817922)Termination reason: Instruction limit
% 73.47/10.83  % (3817922)Termination phase: Saturation
% 73.47/10.83  % (3817922)Time elapsed: 0.608 s
% 73.47/10.83  % (3817922)Peak memory usage: 18 MB
% 73.47/10.83  % (3817922)Instructions burned: 693 (million)
% 73.47/10.83  % TRYING [7]
% 73.47/10.83  % (3817940)dis-4_1_sil=16000:drc=ordering:sp=const_frequency:sac=on:newcnf=on:random_seed=2964382701:i=5131_2984 on theBenchmark for (2984ds/5131Mi)
% 73.47/10.83  % (3817937)Instruction limit reached! 
% 73.47/10.83  % (3817937)------------------------------
% 73.47/10.83  % (3817937)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 73.47/10.83  % (3817937)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 73.47/10.83  % (3817937)CaDiCaL version: 2.1.3
% 73.47/10.83  % (3817937)Termination reason: Instruction limit
% 73.47/10.83  % (3817937)Termination phase: Finite model building SAT solving
% 73.47/10.83  % (3817937)Time elapsed: 0.352 s
% 73.47/10.83  % (3817937)Peak memory usage: 54 MB
% 73.47/10.83  % (3817937)Instructions burned: 922 (million)
% 73.47/10.83  % (3817943)ott+11_16_sil=32000:fde=unused:bsd=on:sas=cadical:sp=arity:spb=units:lsd=10:nwc=3:random_seed=3366522415:i=1472:ins=7:fdi=8:gsp=on_2981 on theBenchmark for (2981ds/1472Mi)
% 73.47/10.83  % TRYING [8]
% 73.47/10.83  % (3817943)Instruction limit reached! 
% 73.47/10.83  % (3817943)------------------------------
% 73.47/10.83  % (3817943)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 73.47/10.83  % (3817943)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 73.47/10.83  % (3817943)CaDiCaL version: 2.1.3
% 73.47/10.83  % (3817943)Termination reason: Instruction limit
% 73.47/10.83  % (3817943)Termination phase: Saturation
% 73.47/10.83  % (3817943)Time elapsed: 0.448 s
% 73.47/10.83  % (3817943)Peak memory usage: 28 MB
% 73.47/10.83  % (3817943)Instructions burned: 1475 (million)
% 73.47/10.83  % (3818086)fmb+10_1_sil=16000:sas=cadical:bce=on:fmbss=77:random_seed=4081412419:i=6324_2977 on theBenchmark for (2977ds/6324Mi)
% 73.47/10.83  % Detected minimum model sizes of [4]
% 73.47/10.83  % Detected maximum model sizes of [max]
% 73.47/10.83  % TRYING [77]
% 73.47/10.83  % (3818086)Instruction limit reached! 
% 73.47/10.83  % (3818086)------------------------------
% 73.47/10.83  % (3818086)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 73.47/10.83  % (3818086)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 73.47/10.83  % (3818086)CaDiCaL version: 2.1.3
% 73.47/10.83  % (3818086)Termination reason: Instruction limit
% 73.47/10.83  % (3818086)Termination phase: Finite model building constraint generation
% 73.47/10.83  % (3818086)Time elapsed: 1.242 s
% 73.47/10.83  % (3818086)Peak memory usage: 409 MB
% 73.47/10.83  % (3818086)Instructions burned: 6326 (million)
% 73.47/10.83  % (3818099)fmb+10_1_fmbas=function:sil=32000:sas=cadical:fmbss=16:random_seed=3193811922:fmbsr=2.30978:i=2174_2964 on theBenchmark for (2964ds/2174Mi)
% 73.47/10.83  % Detected minimum model sizes of [4]
% 73.47/10.83  % Detected maximum model sizes of [max]
% 73.47/10.83  % TRYING [16]
% 73.47/10.83  % (3818099)Instruction limit reached! 
% 73.47/10.83  % (3818099)------------------------------
% 73.47/10.83  % (3818099)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 73.47/10.83  % (3818099)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 73.47/10.83  % (3818099)CaDiCaL version: 2.1.3
% 73.47/10.83  % (3818099)Termination reason: Instruction limit
% 73.47/10.83  % (3818099)Termination phase: Finite model building constraint generation
% 73.47/10.83  % (3818099)Time elapsed: 0.428 s
% 73.47/10.83  % (3818099)Peak memory usage: 162 MB
% 73.47/10.83  % (3818099)Instructions burned: 2176 (million)
% 73.47/10.83  % (3818101)ott-2_1_sil=16000:newcnf=on:random_seed=3940370686:avsq=on:i=869:avsqr=1,16:kws=inv_arity_squared_2959 on theBenchmark for (2959ds/869Mi)
% 73.47/10.83  % (3818101)Instruction limit reached! 
% 73.47/10.83  % (3818101)------------------------------
% 73.47/10.83  % (3818101)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 73.47/10.83  % (3818101)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 73.47/10.83  % (3818101)CaDiCaL version: 2.1.3
% 73.47/10.83  % (3818101)Termination reason: Instruction limit
% 73.47/10.83  % (3818101)Termination phase: Saturation
% 73.47/10.83  % (3818101)Time elapsed: 0.290 s
% 73.47/10.83  % (3818101)Peak memory usage: 17 MB
% 73.47/10.83  % (3818101)Instructions burned: 871 (million)
% 73.47/10.83  % (3818103)ott+10_1_sil=32000:tgt=ground:random_seed=2211914739:i=5114:av=off_2956 on theBenchmark for (2956ds/5114Mi)
% 73.47/10.83  % (3817940)Instruction limit reached! 
% 73.47/10.83  % (3817940)------------------------------
% 73.47/10.83  % (3817940)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 73.47/10.83  % (3817940)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 73.47/10.83  % (3817940)CaDiCaL version: 2.1.3
% 73.47/10.83  % (3817940)Termination reason: Instruction limit
% 73.47/10.83  % (3817940)Termination phase: Saturation
% 73.47/10.83  % (3817940)Time elapsed: 2.798 s
% 73.47/10.83  % (3817940)Peak memory usage: 22 MB
% 73.47/10.83  % (3817940)Instructions burned: 5132 (million)
% 73.47/10.83  % (3818105)fmb+10_1_sil=64000:sas=cadical:bce=on:rp=on:random_seed=2706378997:i=54282_2956 on theBenchmark for (2956ds/54282Mi)
% 73.47/10.83  % Detected minimum model sizes of [4]
% 73.47/10.83  % Detected maximum model sizes of [max]
% 73.47/10.83  % TRYING [4]
% 73.47/10.83  % TRYING [5]
% 73.47/10.83  % TRYING [6]
% 73.47/10.83  % TRYING [7]
% 73.47/10.83  % TRYING [8]
% 73.47/10.83  % TRYING [9]
% 73.47/10.83  % TRYING [9]
% 73.47/10.83  % (3817935)Instruction limit reached! 
% 73.47/10.83  % (3817935)------------------------------
% 73.47/10.83  % (3817935)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 73.47/10.83  % (3817935)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 73.47/10.83  % (3817935)CaDiCaL version: 2.1.3
% 73.47/10.83  % (3817935)Termination reason: Instruction limit
% 73.47/10.83  % (3817935)Termination phase: Finite model building constraint generation
% 73.47/10.83  % (3817935)Time elapsed: 4.370 s
% 73.47/10.83  % (3817935)Peak memory usage: 870 MB
% 73.47/10.83  % (3817935)Instructions burned: 9516 (million)
% 73.47/10.83  % (3818107)dis-11_1_sil=16000:sp=reverse_frequency:alpa=true:random_seed=592932449:i=3512:aac=none_2941 on theBenchmark for (2941ds/3512Mi)
% 73.47/10.83  % (3818103)Instruction limit reached! 
% 73.47/10.83  % (3818103)------------------------------
% 73.47/10.83  % (3818103)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 73.47/10.83  % (3818103)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 73.47/10.83  % (3818103)CaDiCaL version: 2.1.3
% 73.47/10.83  % (3818103)Termination reason: Instruction limit
% 73.47/10.83  % (3818103)Termination phase: Saturation
% 73.47/10.83  % (3818103)Time elapsed: 1.698 s
% 73.47/10.83  % (3818103)Peak memory usage: 41 MB
% 73.47/10.83  % (3818103)Instructions burned: 5115 (million)
% 73.47/10.83  % (3818109)dis+21_1_sil=32000:sas=cadical:random_seed=927923156:i=3773:amm=off_2939 on theBenchmark for (2939ds/3773Mi)
% 73.47/10.83  % (3818109)Instruction limit reached! 
% 73.47/10.83  % (3818109)------------------------------
% 73.47/10.83  % (3818109)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 73.47/10.83  % (3818109)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 73.47/10.83  % (3818109)CaDiCaL version: 2.1.3
% 73.47/10.83  % (3818109)Termination reason: Instruction limit
% 73.47/10.83  % (3818109)Termination phase: Saturation
% 73.47/10.83  % (3818109)Time elapsed: 1.256 s
% 73.47/10.83  % (3818109)Peak memory usage: 33 MB
% 73.47/10.83  % (3818109)Instructions burned: 3774 (million)
% 73.47/10.83  % (3818111)ott+11_1_sil=16000:gs=on:random_seed=3553507815:s2a=on:i=2251:s2at=3:kws=inv_arity_squared:nm=2:fsr=off:fsd=on_2927 on theBenchmark for (2927ds/2251Mi)
% 73.47/10.83  % (3818107)Instruction limit reached! 
% 73.47/10.83  % (3818107)------------------------------
% 73.47/10.83  % (3818107)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 73.47/10.83  % (3818107)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 73.47/10.83  % (3818107)CaDiCaL version: 2.1.3
% 73.47/10.83  % (3818107)Termination reason: Instruction limit
% 73.47/10.83  % (3818107)Termination phase: Saturation
% 73.47/10.83  % (3818107)Time elapsed: 2.094 s
% 73.47/10.83  % (3818107)Peak memory usage: 23 MB
% 73.47/10.83  % (3818107)Instructions burned: 3514 (million)
% 73.47/10.83  % (3818111)Instruction limit reached! 
% 73.47/10.83  % (3818111)------------------------------
% 73.47/10.83  % (3818111)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 73.47/10.83  % (3818111)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 73.47/10.83  % (3818111)CaDiCaL version: 2.1.3
% 73.47/10.83  % (3818111)Termination reason: Instruction limit
% 73.47/10.83  % (3818111)Termination phase: Saturation
% 73.47/10.83  % (3818111)Time elapsed: 0.716 s
% 73.47/10.83  % (3818111)Peak memory usage: 26 MB
% 73.47/10.83  % (3818111)Instructions burned: 2255 (million)
% 73.47/10.83  % (3818113)fmb+10_1_fmbas=predicate:sil=64000:tgt=ground:fmbss=7:random_seed=307085289:fmbsr=1.6:i=67534_2919 on theBenchmark for (2919ds/67534Mi)
% 73.47/10.83  % Detected minimum model sizes of [4]
% 73.47/10.83  % Detected maximum model sizes of [max]
% 73.47/10.83  % TRYING [7]
% 73.47/10.83  % (3818114)ott-22_32_sil=16000:tgt=full:fdtod=off:sp=weighted_frequency:rnwc=on:alpa=false:random_seed=3012843690:avsq=on:i=4591:add=off:avsqr=1,16:kws=inv_arity:nm=10:ins=9:fdi=4_2919 on theBenchmark for (2919ds/4591Mi)
% 73.47/10.83  % TRYING [8]
% 73.47/10.83  % (3818114)Instruction limit reached! 
% 73.47/10.83  % (3818114)------------------------------
% 73.47/10.83  % (3818114)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 73.47/10.83  % (3818114)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 73.47/10.83  % (3818114)CaDiCaL version: 2.1.3
% 73.47/10.83  % (3818114)Termination reason: Instruction limit
% 73.47/10.83  % (3818114)Termination phase: Saturation
% 73.47/10.83  % (3818114)Time elapsed: 0.765 s
% 73.47/10.83  % (3818114)Peak memory usage: 12 MB
% 73.47/10.83  % (3818114)Instructions burned: 4594 (million)
% 73.47/10.83  % (3818117)dis+10_64_to=lpo:sil=32000:spb=intro:urr=on:sac=on:random_seed=357690967:i=29340_2911 on theBenchmark for (2911ds/29340Mi)
% 73.47/10.83  % TRYING [9]
% 73.47/10.83  % (3818117) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3817873-3818117"...
% 73.47/10.83  % (3818117)...printing done.
% 73.47/10.83  % (3818117)Refutation found. Thanks to Tanya!
% 73.47/10.83  % SZS status Theorem for theBenchmark
% 73.47/10.83  % SZS output start Proof for theBenchmark
% See solution above
% 73.47/10.83  % (3818117)------------------------------
% 73.47/10.83  % (3818117)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 73.47/10.83  % (3818117)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 73.47/10.83  % (3818117)CaDiCaL version: 2.1.3
% 73.47/10.83  % (3818117)Termination reason: Refutation
% 73.47/10.83  % (3818117)Time elapsed: 1.536 s
% 73.47/10.83  % (3818117)Peak memory usage: 25 MB
% 73.47/10.83  % (3818117)Instructions burned: 5819 (million)
% 73.47/10.83  % (3817873)Success in time 10.381 s
% 73.47/10.83  % Vampire exiting
%------------------------------------------------------------------------------