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

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%------------------------------------------------------------------------------
% File     : Vampire-SAT---5.0.1
% Problem  : PRO012+1 : 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 : n005.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 12:30:38 PM UTC 2026

% Result   : Theorem 51.77s 7.86s
% Output   : Refutation 51.77s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   22
%            Number of leaves      :   28
% Syntax   : Number of formulae    :  202 (  20 unt;  10 def)
%            Number of atoms       :  647 (  34 equ)
%            Maximal formula atoms :   11 (   3 avg)
%            Number of connectives :  747 ( 302   ~; 322   |;  92   &)
%                                         (  15 <=>;  16  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   15 (   5 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :   26 (  24 usr;  11 prp; 0-3 aty)
%            Number of functors    :   15 (  15 usr;   6 con; 0-3 aty)
%            Number of variables   :  268 (   0 sgn 240   !;  28   ?)

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

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

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(f5,axiom,
    ! [X0,X1] :
      ( earlier(X0,X1)
     => ~ earlier(X1,X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_04) ).

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

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

fof(f11,axiom,
    ! [X0,X1] :
      ( precedes(X0,X1)
    <=> ( earlier(X0,X1)
        & legal(X1) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_10) ).

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

fof(f16,axiom,
    ! [X0,X1,X2] :
      ( min_precedes(X0,X1,X2)
     => precedes(X0,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_15) ).

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

fof(f25,axiom,
    ! [X0,X1] :
      ( subactivity_occurrence(X0,X1)
     => ( activity_occurrence(X0)
        & activity_occurrence(X1) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_24) ).

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(f29,axiom,
    ! [X0,X1,X2,X3] :
      ( ( occurrence_of(X1,X0)
        & arboreal(X2)
        & arboreal(X3)
        & subactivity_occurrence(X2,X1)
        & subactivity_occurrence(X3,X1) )
     => ( min_precedes(X2,X3,X0)
        | min_precedes(X3,X2,X0)
        | X2 = X3 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_28) ).

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

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] :
      ( occurrence_of(X0,tptp0)
     => ? [X1,X2,X3] :
          ( occurrence_of(X1,tptp3)
          & root_occ(X1,X0)
          & occurrence_of(X2,tptp4)
          & min_precedes(X1,X2,tptp0)
          & ( occurrence_of(X3,tptp2)
            | occurrence_of(X3,tptp1) )
          & min_precedes(X2,X3,tptp0)
          & ! [X4] :
              ( min_precedes(X1,X4,tptp0)
             => ( X4 = X2
                | X4 = X3 ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_35) ).

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

fof(f49,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) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goals) ).

fof(f50,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) ) ),
    inference(negated_conjecture,[status(cth)],[f49]) ).

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

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

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

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

fof(f56,plain,
    ! [X0,X1] :
      ( ~ earlier(X1,X0)
      | ~ earlier(X0,X1) ),
    inference(ennf_transformation,[],[f5]) ).

fof(f57,plain,
    ! [X0,X1,X2] :
      ( earlier(X0,X2)
      | ~ earlier(X0,X1)
      | ~ earlier(X1,X2) ),
    inference(ennf_transformation,[],[f6]) ).

fof(f58,plain,
    ! [X0,X1,X2] :
      ( earlier(X0,X2)
      | ~ earlier(X0,X1)
      | ~ earlier(X1,X2) ),
    inference(flattening,[],[f57]) ).

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

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

fof(f69,plain,
    ! [X0,X1,X2] :
      ( precedes(X0,X1)
      | ~ min_precedes(X0,X1,X2) ),
    inference(ennf_transformation,[],[f16]) ).

fof(f78,plain,
    ! [X0,X1] :
      ( ( activity_occurrence(X0)
        & activity_occurrence(X1) )
      | ~ subactivity_occurrence(X0,X1) ),
    inference(ennf_transformation,[],[f25]) ).

fof(f79,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(f84,plain,
    ! [X0,X1,X2,X3] :
      ( min_precedes(X2,X3,X0)
      | min_precedes(X3,X2,X0)
      | X2 = X3
      | ~ occurrence_of(X1,X0)
      | ~ arboreal(X2)
      | ~ arboreal(X3)
      | ~ subactivity_occurrence(X2,X1)
      | ~ subactivity_occurrence(X3,X1) ),
    inference(ennf_transformation,[],[f29]) ).

fof(f85,plain,
    ! [X0,X1,X2,X3] :
      ( min_precedes(X2,X3,X0)
      | min_precedes(X3,X2,X0)
      | X2 = X3
      | ~ occurrence_of(X1,X0)
      | ~ arboreal(X2)
      | ~ arboreal(X3)
      | ~ subactivity_occurrence(X2,X1)
      | ~ subactivity_occurrence(X3,X1) ),
    inference(flattening,[],[f84]) ).

fof(f86,plain,
    ! [X0,X1,X2,X3] :
      ( subactivity_occurrence(X0,X3)
      | ~ min_precedes(X0,X1,X2)
      | ~ occurrence_of(X3,X2)
      | ~ subactivity_occurrence(X1,X3) ),
    inference(ennf_transformation,[],[f30]) ).

fof(f87,plain,
    ! [X0,X1,X2,X3] :
      ( subactivity_occurrence(X0,X3)
      | ~ min_precedes(X0,X1,X2)
      | ~ occurrence_of(X3,X2)
      | ~ subactivity_occurrence(X1,X3) ),
    inference(flattening,[],[f86]) ).

fof(f94,plain,
    ! [X0] :
      ( ? [X1,X2,X3] :
          ( occurrence_of(X1,tptp3)
          & root_occ(X1,X0)
          & occurrence_of(X2,tptp4)
          & min_precedes(X1,X2,tptp0)
          & ( occurrence_of(X3,tptp2)
            | occurrence_of(X3,tptp1) )
          & min_precedes(X2,X3,tptp0)
          & ! [X4] :
              ( X4 = X2
              | X4 = X3
              | ~ min_precedes(X1,X4,tptp0) ) )
      | ~ occurrence_of(X0,tptp0) ),
    inference(ennf_transformation,[],[f36]) ).

fof(f95,plain,
    ! [X0] :
      ( ? [X1,X2,X3] :
          ( occurrence_of(X1,tptp3)
          & root_occ(X1,X0)
          & occurrence_of(X2,tptp4)
          & min_precedes(X1,X2,tptp0)
          & ( occurrence_of(X3,tptp2)
            | occurrence_of(X3,tptp1) )
          & min_precedes(X2,X3,tptp0)
          & ! [X4] :
              ( X4 = X2
              | X4 = X3
              | ~ min_precedes(X1,X4,tptp0) ) )
      | ~ occurrence_of(X0,tptp0) ),
    inference(flattening,[],[f94]) ).

fof(f96,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) )
      & occurrence_of(X0,tptp0) ),
    inference(ennf_transformation,[],[f50]) ).

fof(f97,plain,
    ! [X0] :
      ( ( activity(sK0(X0))
        & occurrence_of(X0,sK0(X0)) )
      | ~ activity_occurrence(X0) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK0]),skolemize(X1,sK0(X0))],[f52]) ).

fof(f98,plain,
    ! [X0,X1] :
      ( ( ( arboreal(X0)
          | ~ atomic(X1) )
        & ( atomic(X1)
          | ~ arboreal(X0) ) )
      | ~ occurrence_of(X0,X1) ),
    inference(nnf_transformation,[],[f61]) ).

fof(f99,plain,
    ! [X0,X1] :
      ( ( precedes(X0,X1)
        | ~ earlier(X0,X1)
        | ~ legal(X1) )
      & ( ( earlier(X0,X1)
          & legal(X1) )
        | ~ precedes(X0,X1) ) ),
    inference(nnf_transformation,[],[f11]) ).

fof(f100,plain,
    ! [X0,X1] :
      ( ( precedes(X0,X1)
        | ~ earlier(X0,X1)
        | ~ legal(X1) )
      & ( ( earlier(X0,X1)
          & legal(X1) )
        | ~ precedes(X0,X1) ) ),
    inference(flattening,[],[f99]) ).

fof(f101,plain,
    ! [X0,X1,X2] :
      ( ( subactivity(sK1(X0,X1,X2),X0)
        & subactivity(sK2(X0,X1,X2),X0)
        & atocc(X1,sK1(X0,X1,X2))
        & atocc(X2,sK2(X0,X1,X2)) )
      | ~ min_precedes(X1,X2,X0) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK1,sK2]),skolemize(X3,sK1(X0,X1,X2)),skolemize(X4,sK2(X0,X1,X2))],[f65]) ).

fof(f104,plain,
    ! [X0,X1] :
      ( ( atocc(X0,X1)
        | ! [X2] :
            ( ~ subactivity(X1,X2)
            | ~ atomic(X2)
            | ~ occurrence_of(X0,X2) ) )
      & ( ? [X2] :
            ( subactivity(X1,X2)
            & atomic(X2)
            & occurrence_of(X0,X2) )
        | ~ atocc(X0,X1) ) ),
    inference(nnf_transformation,[],[f24]) ).

fof(f105,plain,
    ! [X0,X1] :
      ( ( atocc(X0,X1)
        | ! [X2] :
            ( ~ subactivity(X1,X2)
            | ~ atomic(X2)
            | ~ occurrence_of(X0,X2) ) )
      & ( ? [X3] :
            ( subactivity(X1,X3)
            & atomic(X3)
            & occurrence_of(X0,X3) )
        | ~ atocc(X0,X1) ) ),
    inference(rectify,[],[f104]) ).

fof(f106,plain,
    ! [X0,X1] :
      ( ( atocc(X0,X1)
        | ! [X2] :
            ( ~ subactivity(X1,X2)
            | ~ atomic(X2)
            | ~ occurrence_of(X0,X2) ) )
      & ( ( subactivity(X1,sK5(X0,X1))
          & atomic(sK5(X0,X1))
          & occurrence_of(X0,sK5(X0,X1)) )
        | ~ atocc(X0,X1) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK5]),skolemize(X3,sK5(X0,X1))],[f105]) ).

fof(f107,plain,
    ! [X0,X1,X2] :
      ( ( occurrence_of(sK6(X0,X1,X2),X0)
        & subactivity_occurrence(X1,sK6(X0,X1,X2))
        & subactivity_occurrence(X2,sK6(X0,X1,X2)) )
      | ~ min_precedes(X1,X2,X0) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK6]),skolemize(X3,sK6(X0,X1,X2))],[f79]) ).

fof(f111,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(f112,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,[],[f111]) ).

fof(f113,plain,
    ! [X0,X1] :
      ( ( root_occ(X0,X1)
        | ! [X2] :
            ( ~ occurrence_of(X1,X2)
            | ~ subactivity_occurrence(X0,X1)
            | ~ root(X0,X2) ) )
      & ( ( occurrence_of(X1,sK10(X0,X1))
          & subactivity_occurrence(X0,X1)
          & root(X0,sK10(X0,X1)) )
        | ~ root_occ(X0,X1) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK10]),skolemize(X3,sK10(X0,X1))],[f112]) ).

fof(f114,plain,
    ! [X0] :
      ( ( occurrence_of(sK11(X0),tptp3)
        & root_occ(sK11(X0),X0)
        & occurrence_of(sK12(X0),tptp4)
        & min_precedes(sK11(X0),sK12(X0),tptp0)
        & ( occurrence_of(sK13(X0),tptp2)
          | occurrence_of(sK13(X0),tptp1) )
        & min_precedes(sK12(X0),sK13(X0),tptp0)
        & ! [X4] :
            ( sK12(X0) = X4
            | sK13(X0) = X4
            | ~ min_precedes(sK11(X0),X4,tptp0) ) )
      | ~ occurrence_of(X0,tptp0) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK11,sK12,sK13]),skolemize(X1,sK11(X0)),skolemize(X2,sK12(X0)),skolemize(X3,sK13(X0))],[f95]) ).

fof(f115,plain,
    ( ! [X1,X2] :
        ( ~ occurrence_of(X1,tptp3)
        | ~ root_occ(X1,sK14)
        | ( ~ occurrence_of(X2,tptp2)
          & ~ occurrence_of(X2,tptp1) )
        | ~ min_precedes(X1,X2,tptp0) )
    & occurrence_of(sK14,tptp0) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK14]),skolemize(X0,sK14)],[f96]) ).

fof(f116,plain,
    ! [X0,X1] :
      ( ~ occurrence_of(X1,X0)
      | activity_occurrence(X1) ),
    inference(cnf_transformation,[],[f51]) ).

fof(f118,plain,
    ! [X0] :
      ( occurrence_of(X0,sK0(X0))
      | ~ activity_occurrence(X0) ),
    inference(cnf_transformation,[],[f97]) ).

fof(f120,plain,
    ! [X2,X0,X1] :
      ( ~ occurrence_of(X0,X2)
      | ~ occurrence_of(X0,X1)
      | X1 = X2 ),
    inference(cnf_transformation,[],[f54]) ).

fof(f122,plain,
    ! [X0,X1] :
      ( ~ earlier(X0,X1)
      | ~ earlier(X1,X0) ),
    inference(cnf_transformation,[],[f56]) ).

fof(f123,plain,
    ! [X2,X0,X1] :
      ( ~ earlier(X1,X2)
      | ~ earlier(X0,X1)
      | earlier(X0,X2) ),
    inference(cnf_transformation,[],[f58]) ).

fof(f126,plain,
    ! [X0,X1] :
      ( ~ occurrence_of(X0,X1)
      | ~ atomic(X1)
      | arboreal(X0) ),
    inference(cnf_transformation,[],[f98]) ).

fof(f130,plain,
    ! [X0,X1] :
      ( ~ precedes(X0,X1)
      | earlier(X0,X1) ),
    inference(cnf_transformation,[],[f100]) ).

fof(f132,plain,
    ! [X2,X0,X1] :
      ( atocc(X2,sK2(X0,X1,X2))
      | ~ min_precedes(X1,X2,X0) ),
    inference(cnf_transformation,[],[f101]) ).

fof(f141,plain,
    ! [X2,X0,X1] :
      ( ~ min_precedes(X0,X1,X2)
      | precedes(X0,X1) ),
    inference(cnf_transformation,[],[f69]) ).

fof(f147,plain,
    ! [X0,X1] :
      ( occurrence_of(X0,sK5(X0,X1))
      | ~ atocc(X0,X1) ),
    inference(cnf_transformation,[],[f106]) ).

fof(f148,plain,
    ! [X0,X1] :
      ( atomic(sK5(X0,X1))
      | ~ atocc(X0,X1) ),
    inference(cnf_transformation,[],[f106]) ).

fof(f151,plain,
    ! [X0,X1] :
      ( ~ subactivity_occurrence(X0,X1)
      | activity_occurrence(X1) ),
    inference(cnf_transformation,[],[f78]) ).

fof(f152,plain,
    ! [X0,X1] :
      ( ~ subactivity_occurrence(X0,X1)
      | activity_occurrence(X0) ),
    inference(cnf_transformation,[],[f78]) ).

fof(f153,plain,
    ! [X2,X0,X1] :
      ( subactivity_occurrence(X2,sK6(X0,X1,X2))
      | ~ min_precedes(X1,X2,X0) ),
    inference(cnf_transformation,[],[f107]) ).

fof(f154,plain,
    ! [X2,X0,X1] :
      ( subactivity_occurrence(X1,sK6(X0,X1,X2))
      | ~ min_precedes(X1,X2,X0) ),
    inference(cnf_transformation,[],[f107]) ).

fof(f155,plain,
    ! [X2,X0,X1] :
      ( occurrence_of(sK6(X0,X1,X2),X0)
      | ~ min_precedes(X1,X2,X0) ),
    inference(cnf_transformation,[],[f107]) ).

fof(f160,plain,
    ! [X2,X3,X0,X1] :
      ( ~ subactivity_occurrence(X3,X1)
      | min_precedes(X3,X2,X0)
      | X2 = X3
      | ~ occurrence_of(X1,X0)
      | ~ arboreal(X2)
      | ~ arboreal(X3)
      | ~ subactivity_occurrence(X2,X1)
      | min_precedes(X2,X3,X0) ),
    inference(cnf_transformation,[],[f85]) ).

fof(f161,plain,
    ! [X2,X3,X0,X1] :
      ( ~ min_precedes(X0,X1,X2)
      | subactivity_occurrence(X0,X3)
      | ~ occurrence_of(X3,X2)
      | ~ subactivity_occurrence(X1,X3) ),
    inference(cnf_transformation,[],[f87]) ).

fof(f167,plain,
    ! [X0,X1] :
      ( ~ root_occ(X0,X1)
      | subactivity_occurrence(X0,X1) ),
    inference(cnf_transformation,[],[f113]) ).

fof(f171,plain,
    ! [X0] :
      ( min_precedes(sK12(X0),sK13(X0),tptp0)
      | ~ occurrence_of(X0,tptp0) ),
    inference(cnf_transformation,[],[f114]) ).

fof(f172,plain,
    ! [X0] :
      ( occurrence_of(sK13(X0),tptp1)
      | occurrence_of(sK13(X0),tptp2)
      | ~ occurrence_of(X0,tptp0) ),
    inference(cnf_transformation,[],[f114]) ).

fof(f173,plain,
    ! [X0] :
      ( min_precedes(sK11(X0),sK12(X0),tptp0)
      | ~ occurrence_of(X0,tptp0) ),
    inference(cnf_transformation,[],[f114]) ).

fof(f175,plain,
    ! [X0] :
      ( root_occ(sK11(X0),X0)
      | ~ occurrence_of(X0,tptp0) ),
    inference(cnf_transformation,[],[f114]) ).

fof(f176,plain,
    ! [X0] :
      ( occurrence_of(sK11(X0),tptp3)
      | ~ occurrence_of(X0,tptp0) ),
    inference(cnf_transformation,[],[f114]) ).

fof(f182,plain,
    atomic(tptp3),
    inference(cnf_transformation,[],[f42]) ).

fof(f189,plain,
    occurrence_of(sK14,tptp0),
    inference(cnf_transformation,[],[f115]) ).

fof(f190,plain,
    ! [X2,X1] :
      ( ~ min_precedes(X1,X2,tptp0)
      | ~ root_occ(X1,sK14)
      | ~ occurrence_of(X2,tptp1)
      | ~ occurrence_of(X1,tptp3) ),
    inference(cnf_transformation,[],[f115]) ).

fof(f191,plain,
    ! [X2,X1] :
      ( ~ min_precedes(X1,X2,tptp0)
      | ~ root_occ(X1,sK14)
      | ~ occurrence_of(X2,tptp2)
      | ~ occurrence_of(X1,tptp3) ),
    inference(cnf_transformation,[],[f115]) ).

fof(f216,plain,
    ! [X0] :
      ( ~ occurrence_of(X0,tptp0)
      | ~ atomic(tptp3)
      | arboreal(sK11(X0)) ),
    inference(resolution,[],[f176,f126]) ).

fof(f225,plain,
    ! [X0] :
      ( arboreal(sK11(X0))
      | ~ occurrence_of(X0,tptp0) ),
    inference(forward_subsumption_resolution,[],[f216,f182]) ).

fof(f232,plain,
    ! [X0,X1] :
      ( ~ atocc(X0,X1)
      | ~ atomic(sK5(X0,X1))
      | arboreal(X0) ),
    inference(resolution,[],[f147,f126]) ).

fof(f236,plain,
    ! [X0,X1] :
      ( ~ atocc(X0,X1)
      | arboreal(X0) ),
    inference(forward_subsumption_resolution,[],[f232,f148]) ).

fof(f246,plain,
    ! [X0,X1] :
      ( ~ occurrence_of(X0,X1)
      | sK0(X0) = X1
      | ~ activity_occurrence(X0) ),
    inference(resolution,[],[f120,f118]) ).

fof(f252,plain,
    ! [X0,X1] :
      ( ~ occurrence_of(X0,X1)
      | sK0(X0) = X1 ),
    inference(forward_subsumption_resolution,[],[f246,f116]) ).

fof(f266,plain,
    ! [X0] :
      ( precedes(sK12(X0),sK13(X0))
      | ~ occurrence_of(X0,tptp0) ),
    inference(resolution,[],[f171,f141]) ).

fof(f272,definition,
    ( spl15_4
  <=> root_occ(sK11(sK14),sK14) ),
    introduced(definition,[new_symbols(definition,[spl15_4])],[avatar_definition]) ).

fof(f273,plain,
    ( root_occ(sK11(sK14),sK14)
    | ~ spl15_4 ),
    inference(avatar_component_clause,[],[f272]) ).

fof(f274,plain,
    ( ~ root_occ(sK11(sK14),sK14)
    | spl15_4 ),
    inference(avatar_component_clause,[],[f272]) ).

fof(f283,plain,
    ! [X0] :
      ( precedes(sK11(X0),sK12(X0))
      | ~ occurrence_of(X0,tptp0) ),
    inference(resolution,[],[f173,f141]) ).

fof(f288,plain,
    ( ~ occurrence_of(sK14,tptp0)
    | spl15_4 ),
    inference(resolution,[],[f274,f175]) ).

fof(f289,plain,
    ( $false
    | spl15_4 ),
    inference(forward_subsumption_resolution,[],[f288,f189]) ).

fof(f290,plain,
    spl15_4,
    inference(avatar_contradiction_clause,[],[f289]) ).

fof(f291,plain,
    ! [X2,X0,X1] :
      ( ~ min_precedes(X0,X1,X2)
      | arboreal(X1) ),
    inference(resolution,[],[f132,f236]) ).

fof(f298,plain,
    ( subactivity_occurrence(sK11(sK14),sK14)
    | ~ spl15_4 ),
    inference(resolution,[],[f273,f167]) ).

fof(f305,plain,
    ( activity_occurrence(sK11(sK14))
    | ~ spl15_4 ),
    inference(resolution,[],[f298,f152]) ).

fof(f311,plain,
    ! [X2,X0,X1] :
      ( activity_occurrence(sK6(X2,X0,X1))
      | ~ min_precedes(X0,X1,X2) ),
    inference(resolution,[],[f153,f151]) ).

fof(f386,plain,
    ! [X0,X1] :
      ( ~ subactivity_occurrence(sK12(X0),X1)
      | ~ occurrence_of(X1,tptp0)
      | subactivity_occurrence(sK11(X0),X1)
      | ~ occurrence_of(X0,tptp0) ),
    inference(resolution,[],[f161,f173]) ).

fof(f423,plain,
    ! [X2,X3,X0,X1,X4] :
      ( ~ subactivity_occurrence(X1,sK6(X3,X4,X0))
      | X0 = X1
      | ~ occurrence_of(sK6(X3,X4,X0),X2)
      | ~ arboreal(X1)
      | ~ arboreal(X0)
      | min_precedes(X0,X1,X2)
      | min_precedes(X1,X0,X2)
      | ~ min_precedes(X4,X0,X3) ),
    inference(resolution,[],[f160,f153]) ).

fof(f549,plain,
    ! [X2,X0,X1] :
      ( ~ min_precedes(X1,X2,X0)
      | sK0(sK6(X0,X1,X2)) = X0 ),
    inference(resolution,[],[f252,f155]) ).

fof(f551,plain,
    ! [X0] :
      ( ~ occurrence_of(X0,tptp0)
      | tptp3 = sK0(sK11(X0)) ),
    inference(resolution,[],[f252,f176]) ).

fof(f625,plain,
    ! [X0] :
      ( earlier(sK12(X0),sK13(X0))
      | ~ occurrence_of(X0,tptp0) ),
    inference(resolution,[],[f266,f130]) ).

fof(f627,plain,
    ! [X0] :
      ( earlier(sK11(X0),sK12(X0))
      | ~ occurrence_of(X0,tptp0) ),
    inference(resolution,[],[f283,f130]) ).

fof(f966,plain,
    ! [X2,X0,X1] :
      ( subactivity_occurrence(sK11(X1),sK6(X0,sK12(X1),X2))
      | ~ occurrence_of(sK6(X0,sK12(X1),X2),tptp0)
      | ~ occurrence_of(X1,tptp0)
      | ~ min_precedes(sK12(X1),X2,X0) ),
    inference(resolution,[],[f386,f154]) ).

fof(f1313,plain,
    tptp3 = sK0(sK11(sK14)),
    inference(resolution,[],[f551,f189]) ).

fof(f1323,plain,
    ( occurrence_of(sK11(sK14),tptp3)
    | ~ activity_occurrence(sK11(sK14)) ),
    inference(superposition,[],[f118,f1313]) ).

fof(f1325,plain,
    ( occurrence_of(sK11(sK14),tptp3)
    | ~ spl15_4 ),
    inference(forward_subsumption_resolution,[],[f1323,f305]) ).

fof(f1379,plain,
    ! [X0,X1] :
      ( earlier(X1,sK12(X0))
      | ~ earlier(X1,sK11(X0))
      | ~ occurrence_of(X0,tptp0) ),
    inference(resolution,[],[f627,f123]) ).

fof(f1381,plain,
    ! [X0] :
      ( ~ earlier(sK12(X0),sK11(X0))
      | ~ occurrence_of(X0,tptp0) ),
    inference(resolution,[],[f627,f122]) ).

fof(f1403,definition,
    ( spl15_69
  <=> occurrence_of(sK13(sK14),tptp2) ),
    introduced(definition,[new_symbols(definition,[spl15_69])],[avatar_definition]) ).

fof(f1405,plain,
    ( occurrence_of(sK13(sK14),tptp2)
    | ~ spl15_69 ),
    inference(avatar_component_clause,[],[f1403]) ).

fof(f1591,plain,
    ! [X0] :
      ( ~ occurrence_of(X0,tptp0)
      | tptp0 = sK0(sK6(tptp0,sK12(X0),sK13(X0))) ),
    inference(resolution,[],[f549,f171]) ).

fof(f3117,plain,
    ! [X2,X3,X0,X1] :
      ( ~ occurrence_of(sK6(X0,sK12(X1),X2),tptp0)
      | ~ occurrence_of(X1,tptp0)
      | ~ min_precedes(sK12(X1),X2,X0)
      | sK11(X1) = X2
      | ~ occurrence_of(sK6(X0,sK12(X1),X2),X3)
      | ~ arboreal(sK11(X1))
      | ~ arboreal(X2)
      | min_precedes(X2,sK11(X1),X3)
      | min_precedes(sK11(X1),X2,X3)
      | ~ min_precedes(sK12(X1),X2,X0) ),
    inference(resolution,[],[f966,f423]) ).

fof(f3124,plain,
    ! [X2,X3,X0,X1] :
      ( ~ occurrence_of(sK6(X0,sK12(X1),X2),tptp0)
      | ~ occurrence_of(X1,tptp0)
      | ~ min_precedes(sK12(X1),X2,X0)
      | sK11(X1) = X2
      | ~ occurrence_of(sK6(X0,sK12(X1),X2),X3)
      | ~ arboreal(sK11(X1))
      | ~ arboreal(X2)
      | min_precedes(X2,sK11(X1),X3)
      | min_precedes(sK11(X1),X2,X3) ),
    inference(duplicate_literal_removal,[],[f3117]) ).

fof(f3127,plain,
    ! [X2,X3,X0,X1] :
      ( ~ occurrence_of(sK6(X0,sK12(X1),X2),tptp0)
      | ~ occurrence_of(X1,tptp0)
      | ~ min_precedes(sK12(X1),X2,X0)
      | sK11(X1) = X2
      | ~ occurrence_of(sK6(X0,sK12(X1),X2),X3)
      | ~ arboreal(X2)
      | min_precedes(X2,sK11(X1),X3)
      | min_precedes(sK11(X1),X2,X3) ),
    inference(forward_subsumption_resolution,[],[f3124,f225]) ).

fof(f3129,plain,
    ! [X2,X3,X0,X1] :
      ( ~ occurrence_of(sK6(X0,sK12(X1),X2),X3)
      | ~ occurrence_of(X1,tptp0)
      | ~ min_precedes(sK12(X1),X2,X0)
      | sK11(X1) = X2
      | ~ occurrence_of(sK6(X0,sK12(X1),X2),tptp0)
      | min_precedes(X2,sK11(X1),X3)
      | min_precedes(sK11(X1),X2,X3) ),
    inference(forward_subsumption_resolution,[],[f3127,f291]) ).

fof(f7066,plain,
    tptp0 = sK0(sK6(tptp0,sK12(sK14),sK13(sK14))),
    inference(resolution,[],[f1591,f189]) ).

fof(f7558,plain,
    ( occurrence_of(sK6(tptp0,sK12(sK14),sK13(sK14)),tptp0)
    | ~ activity_occurrence(sK6(tptp0,sK12(sK14),sK13(sK14))) ),
    inference(superposition,[],[f118,f7066]) ).

fof(f7569,definition,
    ( spl15_265
  <=> activity_occurrence(sK6(tptp0,sK12(sK14),sK13(sK14))) ),
    introduced(definition,[new_symbols(definition,[spl15_265])],[avatar_definition]) ).

fof(f7571,plain,
    ( ~ activity_occurrence(sK6(tptp0,sK12(sK14),sK13(sK14)))
    | spl15_265 ),
    inference(avatar_component_clause,[],[f7569]) ).

fof(f7573,definition,
    ( spl15_266
  <=> occurrence_of(sK6(tptp0,sK12(sK14),sK13(sK14)),tptp0) ),
    introduced(definition,[new_symbols(definition,[spl15_266])],[avatar_definition]) ).

fof(f7575,plain,
    ( occurrence_of(sK6(tptp0,sK12(sK14),sK13(sK14)),tptp0)
    | ~ spl15_266 ),
    inference(avatar_component_clause,[],[f7573]) ).

fof(f7576,plain,
    ( ~ spl15_265
    | spl15_266 ),
    inference(avatar_split_clause,[],[f7558,f7573,f7569]) ).

fof(f7644,definition,
    ( spl15_268
  <=> min_precedes(sK12(sK14),sK13(sK14),tptp0) ),
    introduced(definition,[new_symbols(definition,[spl15_268])],[avatar_definition]) ).

fof(f7645,plain,
    ( min_precedes(sK12(sK14),sK13(sK14),tptp0)
    | ~ spl15_268 ),
    inference(avatar_component_clause,[],[f7644]) ).

fof(f7646,plain,
    ( ~ min_precedes(sK12(sK14),sK13(sK14),tptp0)
    | spl15_268 ),
    inference(avatar_component_clause,[],[f7644]) ).

fof(f7688,plain,
    ( precedes(sK12(sK14),sK13(sK14))
    | ~ spl15_268 ),
    inference(resolution,[],[f7645,f141]) ).

fof(f7714,definition,
    ( spl15_276
  <=> occurrence_of(sK13(sK14),tptp1) ),
    introduced(definition,[new_symbols(definition,[spl15_276])],[avatar_definition]) ).

fof(f7715,plain,
    ( occurrence_of(sK13(sK14),tptp1)
    | ~ spl15_276 ),
    inference(avatar_component_clause,[],[f7714]) ).

fof(f7716,plain,
    ( ~ occurrence_of(sK13(sK14),tptp1)
    | spl15_276 ),
    inference(avatar_component_clause,[],[f7714]) ).

fof(f7817,plain,
    ( occurrence_of(sK13(sK14),tptp2)
    | ~ occurrence_of(sK14,tptp0)
    | spl15_276 ),
    inference(resolution,[],[f7716,f172]) ).

fof(f7861,plain,
    ( earlier(sK12(sK14),sK13(sK14))
    | ~ spl15_268 ),
    inference(resolution,[],[f7688,f130]) ).

fof(f7866,plain,
    ( ~ earlier(sK13(sK14),sK12(sK14))
    | ~ spl15_268 ),
    inference(resolution,[],[f7861,f122]) ).

fof(f8147,plain,
    ( ~ earlier(sK13(sK14),sK11(sK14))
    | ~ occurrence_of(sK14,tptp0)
    | ~ spl15_268 ),
    inference(resolution,[],[f7866,f1379]) ).

fof(f8148,plain,
    ( ~ earlier(sK13(sK14),sK11(sK14))
    | ~ spl15_268 ),
    inference(forward_subsumption_resolution,[],[f8147,f189]) ).

fof(f10479,definition,
    ( spl15_354
  <=> min_precedes(sK11(sK14),sK13(sK14),tptp0) ),
    introduced(definition,[new_symbols(definition,[spl15_354])],[avatar_definition]) ).

fof(f10481,plain,
    ( min_precedes(sK11(sK14),sK13(sK14),tptp0)
    | ~ spl15_354 ),
    inference(avatar_component_clause,[],[f10479]) ).

fof(f10604,plain,
    ( ~ root_occ(sK11(sK14),sK14)
    | ~ occurrence_of(sK13(sK14),tptp2)
    | ~ occurrence_of(sK11(sK14),tptp3)
    | ~ spl15_354 ),
    inference(resolution,[],[f10481,f191]) ).

fof(f10633,plain,
    ( ~ occurrence_of(sK13(sK14),tptp2)
    | ~ occurrence_of(sK11(sK14),tptp3)
    | ~ spl15_4
    | ~ spl15_354 ),
    inference(forward_subsumption_resolution,[],[f10604,f273]) ).

fof(f10636,plain,
    ( ~ occurrence_of(sK11(sK14),tptp3)
    | ~ spl15_4
    | ~ spl15_69
    | ~ spl15_354 ),
    inference(forward_subsumption_resolution,[],[f10633,f1405]) ).

fof(f10646,plain,
    ( $false
    | ~ spl15_4
    | ~ spl15_69
    | ~ spl15_354 ),
    inference(forward_subsumption_resolution,[],[f10636,f1325]) ).

fof(f10647,plain,
    ( ~ spl15_4
    | ~ spl15_69
    | ~ spl15_354 ),
    inference(avatar_contradiction_clause,[],[f10646]) ).

fof(f10754,definition,
    ( spl15_361
  <=> sK11(sK14) = sK13(sK14) ),
    introduced(definition,[new_symbols(definition,[spl15_361])],[avatar_definition]) ).

fof(f10755,plain,
    ( sK11(sK14) != sK13(sK14)
    | spl15_361 ),
    inference(avatar_component_clause,[],[f10754]) ).

fof(f10756,plain,
    ( sK11(sK14) = sK13(sK14)
    | ~ spl15_361 ),
    inference(avatar_component_clause,[],[f10754]) ).

fof(f10973,plain,
    ( earlier(sK12(sK14),sK11(sK14))
    | ~ occurrence_of(sK14,tptp0)
    | ~ spl15_361 ),
    inference(superposition,[],[f625,f10756]) ).

fof(f11033,plain,
    ( ~ occurrence_of(sK14,tptp0)
    | ~ spl15_361 ),
    inference(forward_subsumption_resolution,[],[f10973,f1381]) ).

fof(f11108,plain,
    ( $false
    | ~ spl15_361 ),
    inference(forward_subsumption_resolution,[],[f11033,f189]) ).

fof(f11109,plain,
    ~ spl15_361,
    inference(avatar_contradiction_clause,[],[f11108]) ).

fof(f11265,definition,
    ( spl15_364
  <=> precedes(sK13(sK14),sK11(sK14)) ),
    introduced(definition,[new_symbols(definition,[spl15_364])],[avatar_definition]) ).

fof(f11266,plain,
    ( precedes(sK13(sK14),sK11(sK14))
    | ~ spl15_364 ),
    inference(avatar_component_clause,[],[f11265]) ).

fof(f11267,plain,
    ( ~ precedes(sK13(sK14),sK11(sK14))
    | spl15_364 ),
    inference(avatar_component_clause,[],[f11265]) ).

fof(f11269,definition,
    ( spl15_365
  <=> min_precedes(sK13(sK14),sK11(sK14),tptp0) ),
    introduced(definition,[new_symbols(definition,[spl15_365])],[avatar_definition]) ).

fof(f11270,plain,
    ( ~ min_precedes(sK13(sK14),sK11(sK14),tptp0)
    | spl15_365 ),
    inference(avatar_component_clause,[],[f11269]) ).

fof(f11271,plain,
    ( min_precedes(sK13(sK14),sK11(sK14),tptp0)
    | ~ spl15_365 ),
    inference(avatar_component_clause,[],[f11269]) ).

fof(f11306,plain,
    ( earlier(sK13(sK14),sK11(sK14))
    | ~ spl15_364 ),
    inference(resolution,[],[f11266,f130]) ).

fof(f11308,plain,
    ( $false
    | ~ spl15_268
    | ~ spl15_364 ),
    inference(forward_subsumption_resolution,[],[f11306,f8148]) ).

fof(f11309,plain,
    ( ~ spl15_268
    | ~ spl15_364 ),
    inference(avatar_contradiction_clause,[],[f11308]) ).

fof(f11391,plain,
    ( precedes(sK13(sK14),sK11(sK14))
    | ~ spl15_365 ),
    inference(resolution,[],[f11271,f141]) ).

fof(f11419,plain,
    ( $false
    | spl15_364
    | ~ spl15_365 ),
    inference(forward_subsumption_resolution,[],[f11391,f11267]) ).

fof(f11420,plain,
    ( spl15_364
    | ~ spl15_365 ),
    inference(avatar_contradiction_clause,[],[f11419]) ).

fof(f19261,plain,
    ( ~ occurrence_of(sK14,tptp0)
    | spl15_268 ),
    inference(resolution,[],[f7646,f171]) ).

fof(f19263,plain,
    ( $false
    | spl15_268 ),
    inference(forward_subsumption_resolution,[],[f19261,f189]) ).

fof(f19264,plain,
    spl15_268,
    inference(avatar_contradiction_clause,[],[f19263]) ).

fof(f20561,plain,
    ( ~ min_precedes(sK12(sK14),sK13(sK14),tptp0)
    | spl15_265 ),
    inference(resolution,[],[f7571,f311]) ).

fof(f20562,plain,
    ( $false
    | spl15_265
    | ~ spl15_268 ),
    inference(forward_subsumption_resolution,[],[f20561,f7645]) ).

fof(f20563,plain,
    ( spl15_265
    | ~ spl15_268 ),
    inference(avatar_contradiction_clause,[],[f20562]) ).

fof(f22741,plain,
    ( ~ occurrence_of(sK14,tptp0)
    | ~ min_precedes(sK12(sK14),sK13(sK14),tptp0)
    | sK11(sK14) = sK13(sK14)
    | ~ occurrence_of(sK6(tptp0,sK12(sK14),sK13(sK14)),tptp0)
    | min_precedes(sK13(sK14),sK11(sK14),tptp0)
    | min_precedes(sK11(sK14),sK13(sK14),tptp0)
    | ~ spl15_266 ),
    inference(resolution,[],[f7575,f3129]) ).

fof(f22834,plain,
    ( ~ occurrence_of(sK14,tptp0)
    | sK11(sK14) = sK13(sK14)
    | ~ occurrence_of(sK6(tptp0,sK12(sK14),sK13(sK14)),tptp0)
    | min_precedes(sK13(sK14),sK11(sK14),tptp0)
    | min_precedes(sK11(sK14),sK13(sK14),tptp0)
    | ~ spl15_266 ),
    inference(forward_subsumption_resolution,[],[f22741,f171]) ).

fof(f22860,plain,
    ( sK11(sK14) = sK13(sK14)
    | ~ occurrence_of(sK6(tptp0,sK12(sK14),sK13(sK14)),tptp0)
    | min_precedes(sK13(sK14),sK11(sK14),tptp0)
    | min_precedes(sK11(sK14),sK13(sK14),tptp0)
    | ~ spl15_266 ),
    inference(forward_subsumption_resolution,[],[f22834,f189]) ).

fof(f22892,plain,
    ( ~ occurrence_of(sK6(tptp0,sK12(sK14),sK13(sK14)),tptp0)
    | min_precedes(sK13(sK14),sK11(sK14),tptp0)
    | min_precedes(sK11(sK14),sK13(sK14),tptp0)
    | ~ spl15_266
    | spl15_361 ),
    inference(forward_subsumption_resolution,[],[f22860,f10755]) ).

fof(f22893,plain,
    ( min_precedes(sK13(sK14),sK11(sK14),tptp0)
    | min_precedes(sK11(sK14),sK13(sK14),tptp0)
    | ~ spl15_266
    | spl15_361 ),
    inference(forward_subsumption_resolution,[],[f22892,f7575]) ).

fof(f22894,plain,
    ( min_precedes(sK11(sK14),sK13(sK14),tptp0)
    | ~ spl15_266
    | spl15_361
    | spl15_365 ),
    inference(forward_subsumption_resolution,[],[f22893,f11270]) ).

fof(f22901,plain,
    ( spl15_354
    | ~ spl15_266
    | spl15_361
    | spl15_365 ),
    inference(avatar_split_clause,[],[f22894,f11269,f10754,f7573,f10479]) ).

fof(f22918,plain,
    ( occurrence_of(sK13(sK14),tptp2)
    | spl15_276 ),
    inference(forward_subsumption_resolution,[],[f7817,f189]) ).

fof(f22922,plain,
    ( spl15_69
    | spl15_276 ),
    inference(avatar_split_clause,[],[f22918,f7714,f1403]) ).

fof(f23392,plain,
    ( ~ root_occ(sK11(sK14),sK14)
    | ~ occurrence_of(sK13(sK14),tptp1)
    | ~ occurrence_of(sK11(sK14),tptp3)
    | ~ spl15_354 ),
    inference(resolution,[],[f10481,f190]) ).

fof(f23436,plain,
    ( ~ occurrence_of(sK13(sK14),tptp1)
    | ~ occurrence_of(sK11(sK14),tptp3)
    | ~ spl15_4
    | ~ spl15_354 ),
    inference(forward_subsumption_resolution,[],[f23392,f273]) ).

fof(f23447,plain,
    ( ~ occurrence_of(sK11(sK14),tptp3)
    | ~ spl15_4
    | ~ spl15_276
    | ~ spl15_354 ),
    inference(forward_subsumption_resolution,[],[f23436,f7715]) ).

fof(f23448,plain,
    ( $false
    | ~ spl15_4
    | ~ spl15_276
    | ~ spl15_354 ),
    inference(forward_subsumption_resolution,[],[f23447,f1325]) ).

fof(f23449,plain,
    ( ~ spl15_4
    | ~ spl15_276
    | ~ spl15_354 ),
    inference(avatar_contradiction_clause,[],[f23448]) ).

cnf(s5,plain,
    spl15_4,
    inference(sat_conversion,[],[f290]) ).

cnf(s274,plain,
    ( ~ spl15_265
    | spl15_266 ),
    inference(sat_conversion,[],[f7576]) ).

cnf(s388,plain,
    ( ~ spl15_4
    | ~ spl15_69
    | ~ spl15_354 ),
    inference(sat_conversion,[],[f10647]) ).

cnf(s407,plain,
    ~ spl15_361,
    inference(sat_conversion,[],[f11109]) ).

cnf(s423,plain,
    ( ~ spl15_268
    | ~ spl15_364 ),
    inference(sat_conversion,[],[f11309]) ).

cnf(s425,plain,
    ( spl15_364
    | ~ spl15_365 ),
    inference(sat_conversion,[],[f11420]) ).

cnf(s776,plain,
    spl15_268,
    inference(sat_conversion,[],[f19264]) ).

cnf(s839,plain,
    ( spl15_265
    | ~ spl15_268 ),
    inference(sat_conversion,[],[f20563]) ).

cnf(s921,plain,
    ( ~ spl15_266
    | spl15_354
    | spl15_361
    | spl15_365 ),
    inference(sat_conversion,[],[f22901]) ).

cnf(s926,plain,
    ( spl15_69
    | spl15_276 ),
    inference(sat_conversion,[],[f22922]) ).

cnf(s949,plain,
    ( ~ spl15_4
    | ~ spl15_276
    | ~ spl15_354 ),
    inference(sat_conversion,[],[f23449]) ).

cnf(s957,plain,
    spl15_265,
    inference(rat,[],[s839,s776]) ).

cnf(s1053,plain,
    ~ spl15_364,
    inference(rat,[],[s423,s776]) ).

cnf(s1054,plain,
    ~ spl15_365,
    inference(rat,[],[s425,s1053]) ).

cnf(s1075,plain,
    spl15_266,
    inference(rat,[],[s274,s957]) ).

cnf(s1076,plain,
    spl15_354,
    inference(rat,[],[s921,s1054,s407,s1075]) ).

cnf(s1106,plain,
    ~ spl15_276,
    inference(rat,[],[s949,s1076,s5]) ).

cnf(s1112,plain,
    ~ spl15_69,
    inference(rat,[],[s388,s1076,s5]) ).

cnf(s1115,plain,
    $false,
    inference(rat,[],[s926,s1106,s1112]) ).

fof(f23450,plain,
    $false,
    inference(avatar_sat_refutation,[],[s1115]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : PRO012+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05  % Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.11/0.39  % Computer : n005.cluster.edu
% 0.11/0.39  % Model    : x86_64 x86_64
% 0.11/0.39  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.39  % Memory   : 8046.5625MB
% 0.11/0.39  % OS       : Linux 6.8.0-71-generic
% 0.11/0.39  % CPULimit : 300
% 0.11/0.39  % WCLimit  : 300
% 0.11/0.39  % DateTime : Sun Sep 27 22:21:17 UTC 2026
% 0.11/0.39  % CPUTime  : 
% 0.11/0.39  Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.11/0.43  Running first-order model finding
% 0.11/0.43  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
% 16.05/2.76  % (229875)Will run a generic schedule for satisfiability detection.
% 16.05/2.76  % (229884)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2796063088:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 16.05/2.76  % (229881)% WARNING: option uhcvi not known.
% 16.05/2.76  % (229883)dis+10_1_sil=32000:sp=arity:random_seed=931253112:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 16.05/2.76  % (229882)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2198279864:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 16.05/2.76  % (229880)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=2191988009_2999 on theBenchmark for (2999ds/0Mi)
% 16.05/2.76  % (229881)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=4093763796:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 16.05/2.76  % (229885)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1378049490:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 16.05/2.76  % (229886)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=900214884:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 16.05/2.76  % Detected minimum model sizes of [4]
% 16.05/2.76  % Detected maximum model sizes of [max]
% 16.05/2.76  % TRYING [4]
% 16.05/2.76  % TRYING [5]
% 16.05/2.76  % (229884)Instruction limit reached! 
% 16.05/2.76  % (229884)------------------------------
% 16.05/2.76  % (229884)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.05/2.76  % (229884)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.05/2.76  % (229884)CaDiCaL version: 2.1.3
% 16.05/2.76  % (229884)Termination reason: Instruction limit
% 16.05/2.76  % (229884)Termination phase: Saturation
% 16.05/2.76  % (229884)Time elapsed: 0.040 s
% 16.05/2.76  % (229884)Peak memory usage: 12 MB
% 16.05/2.76  % (229884)Instructions burned: 119 (million)
% 16.05/2.76  % TRYING [6]
% 16.05/2.76  % (229894)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=2538709807:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 16.05/2.76  % Detected minimum model sizes of [4]
% 16.05/2.76  % Detected maximum model sizes of [max]
% 16.05/2.76  % TRYING [4]
% 16.05/2.76  % TRYING [5]
% 16.05/2.76  % (229883)Instruction limit reached! 
% 16.05/2.76  % (229883)------------------------------
% 16.05/2.76  % (229883)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.05/2.76  % (229883)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.05/2.76  % (229883)CaDiCaL version: 2.1.3
% 16.05/2.76  % (229883)Termination reason: Instruction limit
% 16.05/2.76  % (229883)Termination phase: Saturation
% 16.05/2.76  % (229883)Time elapsed: 0.069 s
% 16.05/2.76  % (229883)Peak memory usage: 12 MB
% 16.05/2.76  % (229883)Instructions burned: 103 (million)
% 16.05/2.76  % TRYING [6]
% 16.05/2.76  % (229886)Instruction limit reached! 
% 16.05/2.76  % (229886)------------------------------
% 16.05/2.76  % (229886)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.05/2.76  % (229886)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.05/2.76  % (229886)CaDiCaL version: 2.1.3
% 16.05/2.76  % (229886)Termination reason: Instruction limit
% 16.05/2.76  % (229886)Termination phase: Saturation
% 16.05/2.76  % (229886)Time elapsed: 0.084 s
% 16.05/2.76  % (229886)Peak memory usage: 12 MB
% 16.05/2.76  % (229886)Instructions burned: 160 (million)
% 16.05/2.76  % (229885)Instruction limit reached! 
% 16.05/2.76  % (229885)------------------------------
% 16.05/2.76  % (229885)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.05/2.76  % (229885)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.05/2.76  % (229885)CaDiCaL version: 2.1.3
% 16.05/2.76  % (229885)Termination reason: Instruction limit
% 16.05/2.76  % (229885)Termination phase: Saturation
% 16.05/2.76  % (229885)Time elapsed: 0.087 s
% 16.05/2.76  % (229885)Peak memory usage: 14 MB
% 16.05/2.76  % (229885)Instructions burned: 132 (million)
% 16.05/2.76  % (229896)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=487560018:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 16.05/2.76  % TRYING [7]
% 16.05/2.76  % (229897)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=152587676:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 16.05/2.76  % (229899)ott-21_1_sil=16000:fs=off:random_seed=225274578:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 16.05/2.76  % TRYING [7]
% 16.05/2.76  % (229896)Instruction limit reached! 
% 16.05/2.76  % (229896)------------------------------
% 16.05/2.76  % (229896)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 48.67/7.34  % (229896)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 48.67/7.34  % (229896)CaDiCaL version: 2.1.3
% 48.67/7.34  % (229896)Termination reason: Instruction limit
% 48.67/7.34  % (229896)Termination phase: Saturation
% 48.67/7.34  % (229896)Time elapsed: 0.087 s
% 48.67/7.34  % (229896)Peak memory usage: 14 MB
% 48.67/7.34  % (229896)Instructions burned: 131 (million)
% 48.67/7.34  % (229902)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=1055525442:i=477:bd=all_2997 on theBenchmark for (2997ds/477Mi)
% 48.67/7.34  % (229899)Instruction limit reached! 
% 48.67/7.34  % (229899)------------------------------
% 48.67/7.34  % (229899)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 48.67/7.34  % (229899)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 48.67/7.34  % (229899)CaDiCaL version: 2.1.3
% 48.67/7.34  % (229899)Termination reason: Instruction limit
% 48.67/7.34  % (229899)Termination phase: Saturation
% 48.67/7.34  % (229899)Time elapsed: 0.097 s
% 48.67/7.34  % (229899)Peak memory usage: 13 MB
% 48.67/7.35  % (229899)Instructions burned: 181 (million)
% 48.67/7.35  % TRYING [8]
% 48.67/7.35  % (229904)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=154870301:fmbsr=1.3:i=865:ins=25_2997 on theBenchmark for (2997ds/865Mi)
% 48.67/7.35  % Detected minimum model sizes of [4]
% 48.67/7.35  % Detected maximum model sizes of [max]
% 48.67/7.35  % TRYING [4]
% 48.67/7.35  % (229894)Instruction limit reached! 
% 48.67/7.35  % (229894)------------------------------
% 48.67/7.35  % (229894)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 48.67/7.35  % (229894)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 48.67/7.35  % (229894)CaDiCaL version: 2.1.3
% 48.67/7.35  % (229894)Termination reason: Instruction limit
% 48.67/7.35  % (229894)Termination phase: Finite model building constraint generation
% 48.67/7.35  % (229894)Time elapsed: 0.184 s
% 48.67/7.35  % (229894)Peak memory usage: 27 MB
% 48.67/7.35  % (229894)Instructions burned: 715 (million)
% 48.67/7.35  % TRYING [5]
% 48.67/7.35  % (229906)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=2091245572:i=1179_2997 on theBenchmark for (2997ds/1179Mi)
% 48.67/7.35  % TRYING [6]
% 48.67/7.35  % TRYING [8]
% 48.67/7.35  % TRYING [7]
% 48.67/7.35  % (229897)Instruction limit reached! 
% 48.67/7.35  % (229897)------------------------------
% 48.67/7.35  % (229897)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 48.67/7.35  % (229897)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 48.67/7.35  % (229897)CaDiCaL version: 2.1.3
% 48.67/7.35  % (229897)Termination reason: Instruction limit
% 48.67/7.35  % (229897)Termination phase: Saturation
% 48.67/7.35  % (229897)Time elapsed: 0.416 s
% 48.67/7.35  % (229897)Peak memory usage: 19 MB
% 48.67/7.35  % (229897)Instructions burned: 686 (million)
% 48.67/7.35  % (229902)Instruction limit reached! 
% 48.67/7.35  % (229902)------------------------------
% 48.67/7.35  % (229902)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 48.67/7.35  % (229902)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 48.67/7.35  % (229902)CaDiCaL version: 2.1.3
% 48.67/7.35  % (229902)Termination reason: Instruction limit
% 48.67/7.35  % (229902)Termination phase: Saturation
% 48.67/7.35  % (229902)Time elapsed: 0.340 s
% 48.67/7.35  % (229902)Peak memory usage: 14 MB
% 48.67/7.35  % (229902)Instructions burned: 478 (million)
% 48.67/7.35  % (229908)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=2070379707:i=889:ins=1_2994 on theBenchmark for (2994ds/889Mi)
% 48.67/7.35  % (229909)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=2825601917:avsq=on:s2a=on:i=692:avsqr=8,1:kws=arity_squared:bs=unit_only:nm=2:rawr=on_2994 on theBenchmark for (2994ds/692Mi)
% 48.67/7.35  % (229904)Instruction limit reached! 
% 48.67/7.35  % (229904)------------------------------
% 48.67/7.35  % (229904)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 48.67/7.35  % (229904)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 48.67/7.35  % (229904)CaDiCaL version: 2.1.3
% 48.67/7.35  % (229904)Termination reason: Instruction limit
% 48.67/7.35  % (229904)Termination phase: Finite model building SAT solving
% 48.67/7.35  % (229904)Time elapsed: 0.348 s
% 48.67/7.35  % (229904)Peak memory usage: 24 MB
% 48.67/7.35  % (229904)Instructions burned: 866 (million)
% 48.67/7.35  % (229912)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=2925876367:i=879:kws=inv_precedence:fsr=off_2993 on theBenchmark for (2993ds/879Mi)
% 51.77/7.86  % (229906)Instruction limit reached! 
% 51.77/7.86  % (229906)------------------------------
% 51.77/7.86  % (229906)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 51.77/7.86  % (229906)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 51.77/7.86  % (229906)CaDiCaL version: 2.1.3
% 51.77/7.86  % (229906)Termination reason: Instruction limit
% 51.77/7.86  % (229906)Termination phase: Saturation
% 51.77/7.86  % (229906)Time elapsed: 0.361 s
% 51.77/7.86  % (229906)Peak memory usage: 28 MB
% 51.77/7.86  % (229906)Instructions burned: 1179 (million)
% 51.77/7.86  % TRYING [14]
% 51.77/7.86  % (229914)fmb+10_1_sil=64000:random_seed=1521370387:i=22061:nm=2:gsp=on_2993 on theBenchmark for (2993ds/22061Mi)
% 51.77/7.86  % Detected minimum model sizes of [4]
% 51.77/7.86  % Detected maximum model sizes of [max]
% 51.77/7.86  % TRYING [4]
% 51.77/7.86  % TRYING [5]
% 51.77/7.86  % TRYING [6]
% 51.77/7.86  % TRYING [7]
% 51.77/7.86  % (229908)Instruction limit reached! 
% 51.77/7.86  % (229908)------------------------------
% 51.77/7.86  % (229908)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 51.77/7.86  % (229908)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 51.77/7.86  % (229908)CaDiCaL version: 2.1.3
% 51.77/7.86  % (229908)Termination reason: Instruction limit
% 51.77/7.86  % (229908)Termination phase: Finite model building constraint generation
% 51.77/7.86  % (229908)Time elapsed: 0.338 s
% 51.77/7.86  % (229908)Peak memory usage: 81 MB
% 51.77/7.86  % (229908)Instructions burned: 890 (million)
% 51.77/7.86  % (229916)fmb+10_1_sil=16000:sas=cadical:fmbss=20:random_seed=820332848:i=9515:nm=5_2990 on theBenchmark for (2990ds/9515Mi)
% 51.77/7.86  % Detected minimum model sizes of [4]
% 51.77/7.86  % Detected maximum model sizes of [max]
% 51.77/7.86  % TRYING [20]
% 51.77/7.86  % TRYING [8]
% 51.77/7.86  % (229909)Instruction limit reached! 
% 51.77/7.86  % (229909)------------------------------
% 51.77/7.86  % (229909)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 51.77/7.86  % (229909)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 51.77/7.86  % (229909)CaDiCaL version: 2.1.3
% 51.77/7.86  % (229909)Termination reason: Instruction limit
% 51.77/7.86  % (229909)Termination phase: Saturation
% 51.77/7.86  % (229909)Time elapsed: 0.424 s
% 51.77/7.86  % (229909)Peak memory usage: 19 MB
% 51.77/7.86  % (229909)Instructions burned: 693 (million)
% 51.77/7.86  % (229918)fmb+10_1_sil=64000:sas=cadical:fmbss=8:random_seed=4055087296:fmbsr=1.7:i=920_2989 on theBenchmark for (2989ds/920Mi)
% 51.77/7.86  % Detected minimum model sizes of [4]
% 51.77/7.86  % Detected maximum model sizes of [max]
% 51.77/7.86  % TRYING [8]
% 51.77/7.86  % TRYING [9]
% 51.77/7.86  % (229912)Instruction limit reached! 
% 51.77/7.86  % (229912)------------------------------
% 51.77/7.86  % (229912)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 51.77/7.86  % (229912)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 51.77/7.86  % (229912)CaDiCaL version: 2.1.3
% 51.77/7.86  % (229912)Termination reason: Instruction limit
% 51.77/7.86  % (229912)Termination phase: Saturation
% 51.77/7.86  % (229912)Time elapsed: 0.505 s
% 51.77/7.86  % (229912)Peak memory usage: 16 MB
% 51.77/7.86  % (229912)Instructions burned: 880 (million)
% 51.77/7.86  % (229920)dis-4_1_sil=16000:drc=ordering:sp=const_frequency:sac=on:newcnf=on:random_seed=628436344:i=5131_2988 on theBenchmark for (2988ds/5131Mi)
% 51.77/7.86  % TRYING [9]
% 51.77/7.86  % (229918)Instruction limit reached! 
% 51.77/7.86  % (229918)------------------------------
% 51.77/7.86  % (229918)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 51.77/7.86  % (229918)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 51.77/7.86  % (229918)CaDiCaL version: 2.1.3
% 51.77/7.86  % (229918)Termination reason: Instruction limit
% 51.77/7.86  % (229918)Termination phase: Finite model building SAT solving
% 51.77/7.86  % (229918)Time elapsed: 0.517 s
% 51.77/7.86  % (229918)Peak memory usage: 45 MB
% 51.77/7.86  % (229918)Instructions burned: 920 (million)
% 51.77/7.86  % (229922)ott+11_16_sil=32000:fde=unused:bsd=on:sas=cadical:sp=arity:spb=units:lsd=10:nwc=3:random_seed=1551275005:i=1472:ins=7:fdi=8:gsp=on_2984 on theBenchmark for (2984ds/1472Mi)
% 51.77/7.86  % (229922)Instruction limit reached! 
% 51.77/7.86  % (229922)------------------------------
% 51.77/7.86  % (229922)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 51.77/7.86  % (229922)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 51.77/7.86  % (229922)CaDiCaL version: 2.1.3
% 51.77/7.86  % (229922)Termination reason: Instruction limit
% 51.77/7.86  % (229922)Termination phase: Saturation
% 51.77/7.86  % (229922)Time elapsed: 0.743 s
% 51.77/7.86  % (229922)Peak memory usage: 26 MB
% 51.77/7.86  % (229922)Instructions burned: 1473 (million)
% 51.77/7.86  % (229924)fmb+10_1_sil=16000:sas=cadical:bce=on:fmbss=77:random_seed=2474149344:i=6324_2976 on theBenchmark for (2976ds/6324Mi)
% 51.77/7.86  % TRYING [10]
% 51.77/7.86  % Detected minimum model sizes of [4]
% 51.77/7.86  % Detected maximum model sizes of [max]
% 51.77/7.86  % TRYING [77]
% 51.77/7.86  % TRYING [10]
% 51.77/7.86  % (229920)Instruction limit reached! 
% 51.77/7.86  % (229920)------------------------------
% 51.77/7.86  % (229920)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 51.77/7.86  % (229920)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 51.77/7.86  % (229920)CaDiCaL version: 2.1.3
% 51.77/7.86  % (229920)Termination reason: Instruction limit
% 51.77/7.86  % (229920)Termination phase: Saturation
% 51.77/7.86  % (229920)Time elapsed: 2.798 s
% 51.77/7.86  % (229920)Peak memory usage: 19 MB
% 51.77/7.86  % (229920)Instructions burned: 5133 (million)
% 51.77/7.86  % (229926)fmb+10_1_fmbas=function:sil=32000:sas=cadical:fmbss=16:random_seed=582970393:fmbsr=2.30978:i=2174_2960 on theBenchmark for (2960ds/2174Mi)
% 51.77/7.86  % Detected minimum model sizes of [4]
% 51.77/7.86  % Detected maximum model sizes of [max]
% 51.77/7.86  % TRYING [16]
% 51.77/7.86  % (229924)Instruction limit reached! 
% 51.77/7.86  % (229924)------------------------------
% 51.77/7.86  % (229924)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 51.77/7.86  % (229924)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 51.77/7.86  % (229924)CaDiCaL version: 2.1.3
% 51.77/7.86  % (229924)Termination reason: Instruction limit
% 51.77/7.86  % (229924)Termination phase: Finite model building constraint generation
% 51.77/7.86  % (229924)Time elapsed: 2.271 s
% 51.77/7.86  % (229924)Peak memory usage: 451 MB
% 51.77/7.86  % (229924)Instructions burned: 6325 (million)
% 51.77/7.86  % (229928)ott-2_1_sil=16000:newcnf=on:random_seed=2117189430:avsq=on:i=869:avsqr=1,16:kws=inv_arity_squared_2953 on theBenchmark for (2953ds/869Mi)
% 51.77/7.86  % (229926)Instruction limit reached! 
% 51.77/7.86  % (229926)------------------------------
% 51.77/7.86  % (229926)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 51.77/7.86  % (229926)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 51.77/7.86  % (229926)CaDiCaL version: 2.1.3
% 51.77/7.86  % (229926)Termination reason: Instruction limit
% 51.77/7.86  % (229926)Termination phase: Finite model building constraint generation
% 51.77/7.86  % (229926)Time elapsed: 0.967 s
% 51.77/7.86  % (229926)Peak memory usage: 216 MB
% 51.77/7.86  % (229926)Instructions burned: 2176 (million)
% 51.77/7.86  % (229930)ott+10_1_sil=32000:tgt=ground:random_seed=2002075184:i=5114:av=off_2950 on theBenchmark for (2950ds/5114Mi)
% 51.77/7.86  % (229928)Instruction limit reached! 
% 51.77/7.86  % (229928)------------------------------
% 51.77/7.86  % (229928)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 51.77/7.86  % (229928)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 51.77/7.86  % (229928)CaDiCaL version: 2.1.3
% 51.77/7.86  % (229928)Termination reason: Instruction limit
% 51.77/7.86  % (229928)Termination phase: Saturation
% 51.77/7.86  % (229928)Time elapsed: 0.501 s
% 51.77/7.86  % (229928)Peak memory usage: 16 MB
% 51.77/7.86  % (229928)Instructions burned: 870 (million)
% 51.77/7.86  % (229932)fmb+10_1_sil=64000:sas=cadical:bce=on:rp=on:random_seed=606578492:i=54282_2948 on theBenchmark for (2948ds/54282Mi)
% 51.77/7.86  % Detected minimum model sizes of [4]
% 51.77/7.86  % Detected maximum model sizes of [max]
% 51.77/7.86  % TRYING [4]
% 51.77/7.86  % TRYING [5]
% 51.77/7.86  % TRYING [6]
% 51.77/7.86  % TRYING [7]
% 51.77/7.86  % TRYING [8]
% 51.77/7.86  % (229916)Instruction limit reached! 
% 51.77/7.86  % (229916)------------------------------
% 51.77/7.86  % (229916)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 51.77/7.86  % (229916)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 51.77/7.86  % (229916)CaDiCaL version: 2.1.3
% 51.77/7.86  % (229916)Termination reason: Instruction limit
% 51.77/7.86  % (229916)Termination phase: Finite model building constraint generation
% 51.77/7.86  % (229916)Time elapsed: 5.001 s
% 51.77/7.86  % (229916)Peak memory usage: 833 MB
% 51.77/7.86  % (229916)Instructions burned: 9516 (million)
% 51.77/7.86  % TRYING [11]
% 51.77/7.86  % (229934)dis-11_1_sil=16000:sp=reverse_frequency:alpa=true:random_seed=802245752:i=3512:aac=none_2939 on theBenchmark for (2939ds/3512Mi)
% 51.77/7.86  % TRYING [9]
% 51.77/7.86  % (229914)Instruction limit reached! 
% 51.77/7.86  % (229914)------------------------------
% 51.77/7.86  % (229914)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 51.77/7.86  % (229914)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 51.77/7.86  % (229914)CaDiCaL version: 2.1.3
% 51.77/7.86  % (229914)Termination reason: Instruction limit
% 51.77/7.86  % (229914)Termination phase: Finite model building SAT solving
% 51.77/7.86  % (229914)Time elapsed: 6.245 s
% 51.77/7.86  % (229914)Peak memory usage: 86 MB
% 51.77/7.86  % (229914)Instructions burned: 22065 (million)
% 51.77/7.86  % (229936)dis+21_1_sil=32000:sas=cadical:random_seed=216347813:i=3773:amm=off_2930 on theBenchmark for (2930ds/3773Mi)
% 51.77/7.86  % (229936) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-229875-229936"...
% 51.77/7.86  % (229936)...printing done.
% 51.77/7.86  % (229936)Refutation found. Thanks to Tanya!
% 51.77/7.86  % SZS status Theorem for theBenchmark
% 51.77/7.86  % SZS output start Proof for theBenchmark
% See solution above
% 51.77/7.86  % (229936)------------------------------
% 51.77/7.86  % (229936)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 51.77/7.86  % (229936)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 51.77/7.86  % (229936)CaDiCaL version: 2.1.3
% 51.77/7.86  % (229936)Termination reason: Refutation
% 51.77/7.86  % (229936)Time elapsed: 0.477 s
% 51.77/7.86  % (229936)Peak memory usage: 22 MB
% 51.77/7.86  % (229936)Instructions burned: 1417 (million)
% 51.77/7.86  % (229875)Success in time 7.423 s
% 51.77/7.86  % Vampire exiting
%------------------------------------------------------------------------------