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

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%------------------------------------------------------------------------------
% File     : Vampire-SAT---5.0.1
% Problem  : PRO017+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 : n001.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 12:30:41 PM UTC 2026

% Result   : Theorem 2.84s 0.91s
% Output   : Refutation 2.84s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   20
%            Number of leaves      :   21
% Syntax   : Number of formulae    :  158 (  28 unt;   9 def)
%            Number of atoms       :  513 (  41 equ)
%            Maximal formula atoms :   14 (   3 avg)
%            Number of connectives :  591 ( 236   ~; 250   |;  84   &)
%                                         (  11 <=>;  10  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   16 (   5 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :   20 (  18 usr;  10 prp; 0-3 aty)
%            Number of functors    :   13 (  13 usr;   7 con; 0-3 aty)
%            Number of variables   :  185 (   0 sgn 159   !;  26   ?)

% 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(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(f38,axiom,
    ! [X0,X1,X2] :
      ( ( occurrence_of(X0,X2)
        & leaf_occ(X1,X0) )
     => ~ ? [X3] : min_precedes(X1,X3,X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_37) ).

fof(f47,axiom,
    ! [X0,X1,X2] :
      ( min_precedes(X0,X1,X2)
     => arboreal(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_46) ).

fof(f50,axiom,
    ! [X0,X1] :
      ( ( occurrence_of(X1,tptp0)
        & subactivity_occurrence(X0,X1)
        & arboreal(X0)
        & ~ leaf_occ(X0,X1) )
     => ? [X2,X3,X4] :
          ( occurrence_of(X2,tptp3)
          & next_subocc(X0,X2,tptp0)
          & occurrence_of(X3,tptp4)
          & min_precedes(X2,X3,tptp0)
          & ( occurrence_of(X4,tptp2)
            | occurrence_of(X4,tptp1) )
          & min_precedes(X3,X4,tptp0)
          & ! [X5] :
              ( min_precedes(X2,X5,tptp0)
             => ( X5 = X3
                | X5 = X4 ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_49) ).

fof(f57,axiom,
    tptp4 != tptp3,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_56) ).

fof(f60,axiom,
    tptp3 != tptp2,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_59) ).

fof(f61,axiom,
    tptp3 != tptp1,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_60) ).

fof(f63,conjecture,
    ! [X0,X1] :
      ( ( occurrence_of(X1,tptp0)
        & subactivity_occurrence(X0,X1)
        & arboreal(X0)
        & ~ leaf_occ(X0,X1) )
     => ? [X2,X3] :
          ( occurrence_of(X2,tptp3)
          & next_subocc(X0,X2,tptp0)
          & ( occurrence_of(X3,tptp2)
            | occurrence_of(X3,tptp1) )
          & min_precedes(X2,X3,tptp0)
          & leaf(X3,tptp0) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goals) ).

fof(f64,negated_conjecture,
    ~ ! [X0,X1] :
        ( ( occurrence_of(X1,tptp0)
          & subactivity_occurrence(X0,X1)
          & arboreal(X0)
          & ~ leaf_occ(X0,X1) )
       => ? [X2,X3] :
            ( occurrence_of(X2,tptp3)
            & next_subocc(X0,X2,tptp0)
            & ( occurrence_of(X3,tptp2)
              | occurrence_of(X3,tptp1) )
            & min_precedes(X2,X3,tptp0)
            & leaf(X3,tptp0) ) ),
    inference(negated_conjecture,[status(cth)],[f63]) ).

fof(f66,plain,
    ! [X0,X1] :
      ( ( activity(X0)
        & activity_occurrence(X1) )
      | ~ occurrence_of(X1,X0) ),
    inference(ennf_transformation,[],[f1]) ).

fof(f67,plain,
    ! [X0] :
      ( ? [X1] :
          ( activity(X1)
          & occurrence_of(X0,X1) )
      | ~ activity_occurrence(X0) ),
    inference(ennf_transformation,[],[f2]) ).

fof(f68,plain,
    ! [X0,X1,X2] :
      ( X1 = X2
      | ~ occurrence_of(X0,X1)
      | ~ occurrence_of(X0,X2) ),
    inference(ennf_transformation,[],[f3]) ).

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

fof(f94,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(f96,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(f116,plain,
    ! [X0,X1,X2] :
      ( ! [X3] : ~ min_precedes(X1,X3,X2)
      | ~ occurrence_of(X0,X2)
      | ~ leaf_occ(X1,X0) ),
    inference(ennf_transformation,[],[f38]) ).

fof(f117,plain,
    ! [X0,X1,X2] :
      ( ! [X3] : ~ min_precedes(X1,X3,X2)
      | ~ occurrence_of(X0,X2)
      | ~ leaf_occ(X1,X0) ),
    inference(flattening,[],[f116]) ).

fof(f133,plain,
    ! [X0,X1,X2] :
      ( arboreal(X0)
      | ~ min_precedes(X0,X1,X2) ),
    inference(ennf_transformation,[],[f47]) ).

fof(f138,plain,
    ! [X0,X1] :
      ( ? [X2,X3,X4] :
          ( occurrence_of(X2,tptp3)
          & next_subocc(X0,X2,tptp0)
          & occurrence_of(X3,tptp4)
          & min_precedes(X2,X3,tptp0)
          & ( occurrence_of(X4,tptp2)
            | occurrence_of(X4,tptp1) )
          & min_precedes(X3,X4,tptp0)
          & ! [X5] :
              ( X5 = X3
              | X5 = X4
              | ~ min_precedes(X2,X5,tptp0) ) )
      | ~ occurrence_of(X1,tptp0)
      | ~ subactivity_occurrence(X0,X1)
      | ~ arboreal(X0)
      | leaf_occ(X0,X1) ),
    inference(ennf_transformation,[],[f50]) ).

fof(f139,plain,
    ! [X0,X1] :
      ( ? [X2,X3,X4] :
          ( occurrence_of(X2,tptp3)
          & next_subocc(X0,X2,tptp0)
          & occurrence_of(X3,tptp4)
          & min_precedes(X2,X3,tptp0)
          & ( occurrence_of(X4,tptp2)
            | occurrence_of(X4,tptp1) )
          & min_precedes(X3,X4,tptp0)
          & ! [X5] :
              ( X5 = X3
              | X5 = X4
              | ~ min_precedes(X2,X5,tptp0) ) )
      | ~ occurrence_of(X1,tptp0)
      | ~ subactivity_occurrence(X0,X1)
      | ~ arboreal(X0)
      | leaf_occ(X0,X1) ),
    inference(flattening,[],[f138]) ).

fof(f140,plain,
    ? [X0,X1] :
      ( ! [X2,X3] :
          ( ~ occurrence_of(X2,tptp3)
          | ~ next_subocc(X0,X2,tptp0)
          | ( ~ occurrence_of(X3,tptp2)
            & ~ occurrence_of(X3,tptp1) )
          | ~ min_precedes(X2,X3,tptp0)
          | ~ leaf(X3,tptp0) )
      & occurrence_of(X1,tptp0)
      & subactivity_occurrence(X0,X1)
      & arboreal(X0)
      & ~ leaf_occ(X0,X1) ),
    inference(ennf_transformation,[],[f64]) ).

fof(f141,plain,
    ? [X0,X1] :
      ( ! [X2,X3] :
          ( ~ occurrence_of(X2,tptp3)
          | ~ next_subocc(X0,X2,tptp0)
          | ( ~ occurrence_of(X3,tptp2)
            & ~ occurrence_of(X3,tptp1) )
          | ~ min_precedes(X2,X3,tptp0)
          | ~ leaf(X3,tptp0) )
      & occurrence_of(X1,tptp0)
      & subactivity_occurrence(X0,X1)
      & arboreal(X0)
      & ~ leaf_occ(X0,X1) ),
    inference(flattening,[],[f140]) ).

fof(f142,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))],[f67]) ).

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(nnf_transformation,[],[f94]) ).

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

fof(f155,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,[],[f154]) ).

fof(f156,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))],[f155]) ).

fof(f160,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))],[f96]) ).

fof(f168,plain,
    ! [X0,X1] :
      ( ( occurrence_of(sK15(X0),tptp3)
        & next_subocc(X0,sK15(X0),tptp0)
        & occurrence_of(sK16(X0),tptp4)
        & min_precedes(sK15(X0),sK16(X0),tptp0)
        & ( occurrence_of(sK17(X0),tptp2)
          | occurrence_of(sK17(X0),tptp1) )
        & min_precedes(sK16(X0),sK17(X0),tptp0)
        & ! [X5] :
            ( sK16(X0) = X5
            | sK17(X0) = X5
            | ~ min_precedes(sK15(X0),X5,tptp0) ) )
      | ~ occurrence_of(X1,tptp0)
      | ~ subactivity_occurrence(X0,X1)
      | ~ arboreal(X0)
      | leaf_occ(X0,X1) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK15,sK16,sK17]),skolemize(X2,sK15(X0)),skolemize(X3,sK16(X0)),skolemize(X4,sK17(X0))],[f139]) ).

fof(f169,plain,
    ( ! [X2,X3] :
        ( ~ occurrence_of(X2,tptp3)
        | ~ next_subocc(sK18,X2,tptp0)
        | ( ~ occurrence_of(X3,tptp2)
          & ~ occurrence_of(X3,tptp1) )
        | ~ min_precedes(X2,X3,tptp0)
        | ~ leaf(X3,tptp0) )
    & occurrence_of(sK19,tptp0)
    & subactivity_occurrence(sK18,sK19)
    & arboreal(sK18)
    & ~ leaf_occ(sK18,sK19) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK18,sK19]),skolemize(X0,sK18),skolemize(X1,sK19)],[f141]) ).

fof(f170,plain,
    ! [X0,X1] :
      ( ~ occurrence_of(X1,X0)
      | activity_occurrence(X1) ),
    inference(cnf_transformation,[],[f66]) ).

fof(f172,plain,
    ! [X0] :
      ( occurrence_of(X0,sK0(X0))
      | ~ activity_occurrence(X0) ),
    inference(cnf_transformation,[],[f142]) ).

fof(f174,plain,
    ! [X2,X0,X1] :
      ( ~ occurrence_of(X0,X2)
      | ~ occurrence_of(X0,X1)
      | X1 = X2 ),
    inference(cnf_transformation,[],[f69]) ).

fof(f206,plain,
    ! [X2,X0,X1] :
      ( ~ next_subocc(X0,X1,X2)
      | min_precedes(X0,X1,X2) ),
    inference(cnf_transformation,[],[f156]) ).

fof(f216,plain,
    ! [X2,X0,X1] :
      ( subactivity_occurrence(X1,sK9(X0,X1,X2))
      | ~ min_precedes(X1,X2,X0) ),
    inference(cnf_transformation,[],[f160]) ).

fof(f217,plain,
    ! [X2,X0,X1] :
      ( occurrence_of(sK9(X0,X1,X2),X0)
      | ~ min_precedes(X1,X2,X0) ),
    inference(cnf_transformation,[],[f160]) ).

fof(f235,plain,
    ! [X2,X3,X0,X1] :
      ( ~ min_precedes(X1,X3,X2)
      | ~ occurrence_of(X0,X2)
      | ~ leaf_occ(X1,X0) ),
    inference(cnf_transformation,[],[f117]) ).

fof(f246,plain,
    ! [X2,X0,X1] :
      ( ~ min_precedes(X0,X1,X2)
      | arboreal(X0) ),
    inference(cnf_transformation,[],[f133]) ).

fof(f249,plain,
    ! [X0,X1,X5] :
      ( ~ min_precedes(sK15(X0),X5,tptp0)
      | sK17(X0) = X5
      | sK16(X0) = X5
      | ~ occurrence_of(X1,tptp0)
      | ~ subactivity_occurrence(X0,X1)
      | ~ arboreal(X0)
      | leaf_occ(X0,X1) ),
    inference(cnf_transformation,[],[f168]) ).

fof(f251,plain,
    ! [X0,X1] :
      ( ~ subactivity_occurrence(X0,X1)
      | occurrence_of(sK17(X0),tptp1)
      | ~ occurrence_of(X1,tptp0)
      | occurrence_of(sK17(X0),tptp2)
      | ~ arboreal(X0)
      | leaf_occ(X0,X1) ),
    inference(cnf_transformation,[],[f168]) ).

fof(f252,plain,
    ! [X0,X1] :
      ( ~ subactivity_occurrence(X0,X1)
      | ~ occurrence_of(X1,tptp0)
      | min_precedes(sK15(X0),sK16(X0),tptp0)
      | ~ arboreal(X0)
      | leaf_occ(X0,X1) ),
    inference(cnf_transformation,[],[f168]) ).

fof(f253,plain,
    ! [X0,X1] :
      ( ~ subactivity_occurrence(X0,X1)
      | ~ occurrence_of(X1,tptp0)
      | occurrence_of(sK16(X0),tptp4)
      | ~ arboreal(X0)
      | leaf_occ(X0,X1) ),
    inference(cnf_transformation,[],[f168]) ).

fof(f254,plain,
    ! [X0,X1] :
      ( ~ subactivity_occurrence(X0,X1)
      | ~ occurrence_of(X1,tptp0)
      | next_subocc(X0,sK15(X0),tptp0)
      | ~ arboreal(X0)
      | leaf_occ(X0,X1) ),
    inference(cnf_transformation,[],[f168]) ).

fof(f255,plain,
    ! [X0,X1] :
      ( ~ subactivity_occurrence(X0,X1)
      | ~ occurrence_of(X1,tptp0)
      | occurrence_of(sK15(X0),tptp3)
      | ~ arboreal(X0)
      | leaf_occ(X0,X1) ),
    inference(cnf_transformation,[],[f168]) ).

fof(f262,plain,
    tptp3 != tptp4,
    inference(cnf_transformation,[],[f57]) ).

fof(f265,plain,
    tptp3 != tptp2,
    inference(cnf_transformation,[],[f60]) ).

fof(f266,plain,
    tptp3 != tptp1,
    inference(cnf_transformation,[],[f61]) ).

fof(f268,plain,
    ~ leaf_occ(sK18,sK19),
    inference(cnf_transformation,[],[f169]) ).

fof(f269,plain,
    arboreal(sK18),
    inference(cnf_transformation,[],[f169]) ).

fof(f270,plain,
    subactivity_occurrence(sK18,sK19),
    inference(cnf_transformation,[],[f169]) ).

fof(f271,plain,
    occurrence_of(sK19,tptp0),
    inference(cnf_transformation,[],[f169]) ).

fof(f297,plain,
    ! [X0,X1] :
      ( ~ occurrence_of(X0,X1)
      | sK0(X0) = X1
      | ~ activity_occurrence(X0) ),
    inference(resolution,[],[f174,f172]) ).

fof(f299,plain,
    ! [X0,X1] :
      ( ~ occurrence_of(X0,X1)
      | sK0(X0) = X1 ),
    inference(forward_subsumption_resolution,[],[f297,f170]) ).

fof(f513,plain,
    ( ~ occurrence_of(sK19,tptp0)
    | occurrence_of(sK16(sK18),tptp4)
    | ~ arboreal(sK18)
    | leaf_occ(sK18,sK19) ),
    inference(resolution,[],[f253,f270]) ).

fof(f521,plain,
    ( occurrence_of(sK16(sK18),tptp4)
    | ~ arboreal(sK18)
    | leaf_occ(sK18,sK19) ),
    inference(forward_subsumption_resolution,[],[f513,f271]) ).

fof(f522,plain,
    ( occurrence_of(sK16(sK18),tptp4)
    | leaf_occ(sK18,sK19) ),
    inference(forward_subsumption_resolution,[],[f521,f269]) ).

fof(f523,plain,
    occurrence_of(sK16(sK18),tptp4),
    inference(forward_subsumption_resolution,[],[f522,f268]) ).

fof(f530,plain,
    tptp4 = sK0(sK16(sK18)),
    inference(resolution,[],[f523,f299]) ).

fof(f534,plain,
    ! [X2,X0,X1] :
      ( ~ occurrence_of(sK9(X0,X1,X2),tptp0)
      | occurrence_of(sK15(X1),tptp3)
      | ~ arboreal(X1)
      | leaf_occ(X1,sK9(X0,X1,X2))
      | ~ min_precedes(X1,X2,X0) ),
    inference(resolution,[],[f255,f216]) ).

fof(f539,plain,
    ! [X2,X0,X1] :
      ( ~ occurrence_of(sK9(X0,X1,X2),tptp0)
      | occurrence_of(sK15(X1),tptp3)
      | leaf_occ(X1,sK9(X0,X1,X2))
      | ~ min_precedes(X1,X2,X0) ),
    inference(forward_subsumption_resolution,[],[f534,f246]) ).

fof(f545,plain,
    ( ~ occurrence_of(sK19,tptp0)
    | next_subocc(sK18,sK15(sK18),tptp0)
    | ~ arboreal(sK18)
    | leaf_occ(sK18,sK19) ),
    inference(resolution,[],[f254,f270]) ).

fof(f547,plain,
    ! [X2,X0,X1] :
      ( ~ occurrence_of(sK9(X0,X1,X2),tptp0)
      | next_subocc(X1,sK15(X1),tptp0)
      | ~ arboreal(X1)
      | leaf_occ(X1,sK9(X0,X1,X2))
      | ~ min_precedes(X1,X2,X0) ),
    inference(resolution,[],[f254,f216]) ).

fof(f552,plain,
    ! [X2,X0,X1] :
      ( ~ occurrence_of(sK9(X0,X1,X2),tptp0)
      | next_subocc(X1,sK15(X1),tptp0)
      | leaf_occ(X1,sK9(X0,X1,X2))
      | ~ min_precedes(X1,X2,X0) ),
    inference(forward_subsumption_resolution,[],[f547,f246]) ).

fof(f553,plain,
    ( next_subocc(sK18,sK15(sK18),tptp0)
    | ~ arboreal(sK18)
    | leaf_occ(sK18,sK19) ),
    inference(forward_subsumption_resolution,[],[f545,f271]) ).

fof(f554,plain,
    ( next_subocc(sK18,sK15(sK18),tptp0)
    | leaf_occ(sK18,sK19) ),
    inference(forward_subsumption_resolution,[],[f553,f269]) ).

fof(f555,plain,
    next_subocc(sK18,sK15(sK18),tptp0),
    inference(forward_subsumption_resolution,[],[f554,f268]) ).

fof(f601,plain,
    ( ~ occurrence_of(sK19,tptp0)
    | min_precedes(sK15(sK18),sK16(sK18),tptp0)
    | ~ arboreal(sK18)
    | leaf_occ(sK18,sK19) ),
    inference(resolution,[],[f252,f270]) ).

fof(f602,plain,
    ( min_precedes(sK15(sK18),sK16(sK18),tptp0)
    | ~ arboreal(sK18)
    | leaf_occ(sK18,sK19) ),
    inference(forward_subsumption_resolution,[],[f601,f271]) ).

fof(f605,plain,
    ( min_precedes(sK15(sK18),sK16(sK18),tptp0)
    | leaf_occ(sK18,sK19) ),
    inference(forward_subsumption_resolution,[],[f602,f269]) ).

fof(f606,plain,
    min_precedes(sK15(sK18),sK16(sK18),tptp0),
    inference(forward_subsumption_resolution,[],[f605,f268]) ).

fof(f619,plain,
    ( occurrence_of(sK17(sK18),tptp1)
    | ~ occurrence_of(sK19,tptp0)
    | occurrence_of(sK17(sK18),tptp2)
    | ~ arboreal(sK18)
    | leaf_occ(sK18,sK19) ),
    inference(resolution,[],[f251,f270]) ).

fof(f620,plain,
    ( occurrence_of(sK17(sK18),tptp1)
    | occurrence_of(sK17(sK18),tptp2)
    | ~ arboreal(sK18)
    | leaf_occ(sK18,sK19) ),
    inference(forward_subsumption_resolution,[],[f619,f271]) ).

fof(f623,plain,
    ( occurrence_of(sK17(sK18),tptp1)
    | occurrence_of(sK17(sK18),tptp2)
    | leaf_occ(sK18,sK19) ),
    inference(forward_subsumption_resolution,[],[f620,f269]) ).

fof(f624,plain,
    ( occurrence_of(sK17(sK18),tptp1)
    | occurrence_of(sK17(sK18),tptp2) ),
    inference(forward_subsumption_resolution,[],[f623,f268]) ).

fof(f626,definition,
    ( spl20_9
  <=> occurrence_of(sK17(sK18),tptp2) ),
    introduced(definition,[new_symbols(definition,[spl20_9])],[avatar_definition]) ).

fof(f628,plain,
    ( occurrence_of(sK17(sK18),tptp2)
    | ~ spl20_9 ),
    inference(avatar_component_clause,[],[f626]) ).

fof(f630,definition,
    ( spl20_10
  <=> occurrence_of(sK17(sK18),tptp1) ),
    introduced(definition,[new_symbols(definition,[spl20_10])],[avatar_definition]) ).

fof(f632,plain,
    ( occurrence_of(sK17(sK18),tptp1)
    | ~ spl20_10 ),
    inference(avatar_component_clause,[],[f630]) ).

fof(f633,plain,
    ( spl20_9
    | spl20_10 ),
    inference(avatar_split_clause,[],[f624,f630,f626]) ).

fof(f669,plain,
    min_precedes(sK18,sK15(sK18),tptp0),
    inference(resolution,[],[f555,f206]) ).

fof(f738,plain,
    ! [X0] :
      ( ~ leaf_occ(sK15(sK18),X0)
      | ~ occurrence_of(X0,tptp0) ),
    inference(resolution,[],[f606,f235]) ).

fof(f810,plain,
    ! [X0] :
      ( ~ leaf_occ(sK18,X0)
      | ~ occurrence_of(X0,tptp0) ),
    inference(resolution,[],[f669,f235]) ).

fof(f1762,plain,
    ! [X0,X1] :
      ( occurrence_of(sK15(X0),tptp3)
      | leaf_occ(X0,sK9(tptp0,X0,X1))
      | ~ min_precedes(X0,X1,tptp0)
      | ~ min_precedes(X0,X1,tptp0) ),
    inference(resolution,[],[f539,f217]) ).

fof(f1763,plain,
    ! [X0,X1] :
      ( leaf_occ(X0,sK9(tptp0,X0,X1))
      | occurrence_of(sK15(X0),tptp3)
      | ~ min_precedes(X0,X1,tptp0) ),
    inference(duplicate_literal_removal,[],[f1762]) ).

fof(f1871,plain,
    ! [X0,X1] :
      ( next_subocc(X0,sK15(X0),tptp0)
      | leaf_occ(X0,sK9(tptp0,X0,X1))
      | ~ min_precedes(X0,X1,tptp0)
      | ~ min_precedes(X0,X1,tptp0) ),
    inference(resolution,[],[f552,f217]) ).

fof(f1872,plain,
    ! [X0,X1] :
      ( leaf_occ(X0,sK9(tptp0,X0,X1))
      | next_subocc(X0,sK15(X0),tptp0)
      | ~ min_precedes(X0,X1,tptp0) ),
    inference(duplicate_literal_removal,[],[f1871]) ).

fof(f4330,plain,
    ( tptp1 = sK0(sK17(sK18))
    | ~ spl20_10 ),
    inference(resolution,[],[f632,f299]) ).

fof(f4705,definition,
    ( spl20_254
  <=> ! [X0] : ~ min_precedes(sK15(sK18),X0,tptp0) ),
    introduced(definition,[new_symbols(definition,[spl20_254])],[avatar_definition]) ).

fof(f4706,plain,
    ( ! [X0] : ~ min_precedes(sK15(sK18),X0,tptp0)
    | ~ spl20_254 ),
    inference(avatar_component_clause,[],[f4705]) ).

fof(f4769,plain,
    ! [X0] :
      ( occurrence_of(sK15(sK15(sK18)),tptp3)
      | ~ min_precedes(sK15(sK18),X0,tptp0)
      | ~ occurrence_of(sK9(tptp0,sK15(sK18),X0),tptp0) ),
    inference(resolution,[],[f1763,f738]) ).

fof(f4775,plain,
    ! [X0] :
      ( occurrence_of(sK15(sK15(sK18)),tptp3)
      | ~ min_precedes(sK15(sK18),X0,tptp0) ),
    inference(forward_subsumption_resolution,[],[f4769,f217]) ).

fof(f4844,plain,
    ( $false
    | ~ spl20_254 ),
    inference(resolution,[],[f4706,f606]) ).

fof(f4847,plain,
    ~ spl20_254,
    inference(avatar_contradiction_clause,[],[f4844]) ).

fof(f4849,definition,
    ( spl20_257
  <=> occurrence_of(sK15(sK15(sK18)),tptp3) ),
    introduced(definition,[new_symbols(definition,[spl20_257])],[avatar_definition]) ).

fof(f4851,plain,
    ( occurrence_of(sK15(sK15(sK18)),tptp3)
    | ~ spl20_257 ),
    inference(avatar_component_clause,[],[f4849]) ).

fof(f4852,plain,
    ( spl20_254
    | spl20_257 ),
    inference(avatar_split_clause,[],[f4775,f4849,f4705]) ).

fof(f4895,plain,
    ! [X0] :
      ( next_subocc(sK15(sK18),sK15(sK15(sK18)),tptp0)
      | ~ min_precedes(sK15(sK18),X0,tptp0)
      | ~ occurrence_of(sK9(tptp0,sK15(sK18),X0),tptp0) ),
    inference(resolution,[],[f1872,f738]) ).

fof(f4901,plain,
    ! [X0] :
      ( next_subocc(sK15(sK18),sK15(sK15(sK18)),tptp0)
      | ~ min_precedes(sK15(sK18),X0,tptp0) ),
    inference(forward_subsumption_resolution,[],[f4895,f217]) ).

fof(f4909,definition,
    ( spl20_259
  <=> next_subocc(sK15(sK18),sK15(sK15(sK18)),tptp0) ),
    introduced(definition,[new_symbols(definition,[spl20_259])],[avatar_definition]) ).

fof(f4911,plain,
    ( next_subocc(sK15(sK18),sK15(sK15(sK18)),tptp0)
    | ~ spl20_259 ),
    inference(avatar_component_clause,[],[f4909]) ).

fof(f4912,plain,
    ( spl20_254
    | spl20_259 ),
    inference(avatar_split_clause,[],[f4901,f4909,f4705]) ).

fof(f5039,plain,
    ( tptp3 = sK0(sK15(sK15(sK18)))
    | ~ spl20_257 ),
    inference(resolution,[],[f4851,f299]) ).

fof(f5800,plain,
    ( min_precedes(sK15(sK18),sK15(sK15(sK18)),tptp0)
    | ~ spl20_259 ),
    inference(resolution,[],[f4911,f206]) ).

fof(f7138,plain,
    ( ! [X0] :
        ( sK17(sK18) = sK15(sK15(sK18))
        | sK16(sK18) = sK15(sK15(sK18))
        | ~ occurrence_of(X0,tptp0)
        | ~ subactivity_occurrence(sK18,X0)
        | ~ arboreal(sK18)
        | leaf_occ(sK18,X0) )
    | ~ spl20_259 ),
    inference(resolution,[],[f5800,f249]) ).

fof(f7184,plain,
    ( ! [X0] :
        ( sK17(sK18) = sK15(sK15(sK18))
        | sK16(sK18) = sK15(sK15(sK18))
        | ~ occurrence_of(X0,tptp0)
        | ~ subactivity_occurrence(sK18,X0)
        | ~ arboreal(sK18) )
    | ~ spl20_259 ),
    inference(forward_subsumption_resolution,[],[f7138,f810]) ).

fof(f7191,definition,
    ( spl20_328
  <=> occurrence_of(sK15(sK15(sK18)),tptp2) ),
    introduced(definition,[new_symbols(definition,[spl20_328])],[avatar_definition]) ).

fof(f7192,plain,
    ( occurrence_of(sK15(sK15(sK18)),tptp2)
    | ~ spl20_328 ),
    inference(avatar_component_clause,[],[f7191]) ).

fof(f7193,plain,
    ( ~ occurrence_of(sK15(sK15(sK18)),tptp2)
    | spl20_328 ),
    inference(avatar_component_clause,[],[f7191]) ).

fof(f7204,plain,
    ( ! [X0] :
        ( sK17(sK18) = sK15(sK15(sK18))
        | sK16(sK18) = sK15(sK15(sK18))
        | ~ occurrence_of(X0,tptp0)
        | ~ subactivity_occurrence(sK18,X0) )
    | ~ spl20_259 ),
    inference(forward_subsumption_resolution,[],[f7184,f269]) ).

fof(f7206,definition,
    ( spl20_331
  <=> ! [X0] :
        ( ~ occurrence_of(X0,tptp0)
        | ~ subactivity_occurrence(sK18,X0) ) ),
    introduced(definition,[new_symbols(definition,[spl20_331])],[avatar_definition]) ).

fof(f7207,plain,
    ( ! [X0] :
        ( ~ subactivity_occurrence(sK18,X0)
        | ~ occurrence_of(X0,tptp0) )
    | ~ spl20_331 ),
    inference(avatar_component_clause,[],[f7206]) ).

fof(f7209,definition,
    ( spl20_332
  <=> sK16(sK18) = sK15(sK15(sK18)) ),
    introduced(definition,[new_symbols(definition,[spl20_332])],[avatar_definition]) ).

fof(f7211,plain,
    ( sK16(sK18) = sK15(sK15(sK18))
    | ~ spl20_332 ),
    inference(avatar_component_clause,[],[f7209]) ).

fof(f7213,definition,
    ( spl20_333
  <=> sK17(sK18) = sK15(sK15(sK18)) ),
    introduced(definition,[new_symbols(definition,[spl20_333])],[avatar_definition]) ).

fof(f7215,plain,
    ( sK17(sK18) = sK15(sK15(sK18))
    | ~ spl20_333 ),
    inference(avatar_component_clause,[],[f7213]) ).

fof(f7216,plain,
    ( spl20_331
    | spl20_332
    | spl20_333
    | ~ spl20_259 ),
    inference(avatar_split_clause,[],[f7204,f4909,f7213,f7209,f7206]) ).

fof(f7426,plain,
    ( ~ occurrence_of(sK19,tptp0)
    | ~ spl20_331 ),
    inference(resolution,[],[f7207,f270]) ).

fof(f7435,plain,
    ( $false
    | ~ spl20_331 ),
    inference(forward_subsumption_resolution,[],[f7426,f271]) ).

fof(f7436,plain,
    ~ spl20_331,
    inference(avatar_contradiction_clause,[],[f7435]) ).

fof(f7440,plain,
    ( tptp4 = sK0(sK15(sK15(sK18)))
    | ~ spl20_332 ),
    inference(superposition,[],[f530,f7211]) ).

fof(f7897,plain,
    ( tptp3 = tptp4
    | ~ spl20_257
    | ~ spl20_332 ),
    inference(superposition,[],[f7440,f5039]) ).

fof(f7910,plain,
    ( $false
    | ~ spl20_257
    | ~ spl20_332 ),
    inference(forward_subsumption_resolution,[],[f7897,f262]) ).

fof(f7911,plain,
    ( ~ spl20_257
    | ~ spl20_332 ),
    inference(avatar_contradiction_clause,[],[f7910]) ).

fof(f7994,plain,
    ( tptp1 = sK0(sK15(sK15(sK18)))
    | ~ spl20_10
    | ~ spl20_333 ),
    inference(superposition,[],[f4330,f7215]) ).

fof(f8020,plain,
    ( tptp3 = tptp1
    | ~ spl20_10
    | ~ spl20_257
    | ~ spl20_333 ),
    inference(forward_demodulation,[],[f7994,f5039]) ).

fof(f8029,plain,
    ( $false
    | ~ spl20_10
    | ~ spl20_257
    | ~ spl20_333 ),
    inference(forward_subsumption_resolution,[],[f8020,f266]) ).

fof(f8030,plain,
    ( ~ spl20_10
    | ~ spl20_257
    | ~ spl20_333 ),
    inference(avatar_contradiction_clause,[],[f8029]) ).

fof(f8031,plain,
    ( occurrence_of(sK15(sK15(sK18)),tptp2)
    | ~ spl20_9
    | ~ spl20_333 ),
    inference(forward_demodulation,[],[f628,f7215]) ).

fof(f8048,plain,
    ( $false
    | ~ spl20_9
    | spl20_328
    | ~ spl20_333 ),
    inference(forward_subsumption_resolution,[],[f8031,f7193]) ).

fof(f8049,plain,
    ( ~ spl20_9
    | spl20_328
    | ~ spl20_333 ),
    inference(avatar_contradiction_clause,[],[f8048]) ).

fof(f8179,plain,
    ( tptp2 = sK0(sK15(sK15(sK18)))
    | ~ spl20_328 ),
    inference(resolution,[],[f7192,f299]) ).

fof(f8182,plain,
    ( tptp3 = tptp2
    | ~ spl20_257
    | ~ spl20_328 ),
    inference(forward_demodulation,[],[f8179,f5039]) ).

fof(f8183,plain,
    ( $false
    | ~ spl20_257
    | ~ spl20_328 ),
    inference(forward_subsumption_resolution,[],[f8182,f265]) ).

fof(f8184,plain,
    ( ~ spl20_257
    | ~ spl20_328 ),
    inference(avatar_contradiction_clause,[],[f8183]) ).

cnf(s5,plain,
    ( spl20_9
    | spl20_10 ),
    inference(sat_conversion,[],[f633]) ).

cnf(s237,plain,
    ~ spl20_254,
    inference(sat_conversion,[],[f4847]) ).

cnf(s238,plain,
    ( spl20_254
    | spl20_257 ),
    inference(sat_conversion,[],[f4852]) ).

cnf(s240,plain,
    ( spl20_254
    | spl20_259 ),
    inference(sat_conversion,[],[f4912]) ).

cnf(s298,plain,
    ( ~ spl20_259
    | spl20_331
    | spl20_332
    | spl20_333 ),
    inference(sat_conversion,[],[f7216]) ).

cnf(s318,plain,
    ~ spl20_331,
    inference(sat_conversion,[],[f7436]) ).

cnf(s322,plain,
    ( ~ spl20_257
    | ~ spl20_332 ),
    inference(sat_conversion,[],[f7911]) ).

cnf(s327,plain,
    ( ~ spl20_10
    | ~ spl20_257
    | ~ spl20_333 ),
    inference(sat_conversion,[],[f8030]) ).

cnf(s328,plain,
    ( ~ spl20_9
    | spl20_328
    | ~ spl20_333 ),
    inference(sat_conversion,[],[f8049]) ).

cnf(s332,plain,
    ( ~ spl20_257
    | ~ spl20_328 ),
    inference(sat_conversion,[],[f8184]) ).

cnf(s333,plain,
    ( ~ spl20_259
    | spl20_332
    | spl20_333 ),
    inference(rat,[],[s298,s318]) ).

cnf(s336,plain,
    spl20_259,
    inference(rat,[],[s240,s237]) ).

cnf(s337,plain,
    spl20_257,
    inference(rat,[],[s238,s237]) ).

cnf(s339,plain,
    ~ spl20_328,
    inference(rat,[],[s332,s337]) ).

cnf(s340,plain,
    ~ spl20_332,
    inference(rat,[],[s322,s337]) ).

cnf(s342,plain,
    spl20_333,
    inference(rat,[],[s333,s336,s340]) ).

cnf(s344,plain,
    ~ spl20_10,
    inference(rat,[],[s327,s337,s342]) ).

cnf(s345,plain,
    ~ spl20_9,
    inference(rat,[],[s328,s339,s342]) ).

cnf(s360,plain,
    $false,
    inference(rat,[],[s5,s344,s345]) ).

fof(f8185,plain,
    $false,
    inference(avatar_sat_refutation,[],[s360]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02  % Problem  : PRO017+3 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05  % Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.11/0.38  % Computer : n001.cluster.edu
% 0.11/0.38  % Model    : x86_64 x86_64
% 0.11/0.38  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.38  % Memory   : 8046.5625MB
% 0.11/0.38  % OS       : Linux 6.8.0-71-generic
% 0.11/0.38  % CPULimit : 300
% 0.11/0.38  % WCLimit  : 300
% 0.11/0.38  % DateTime : Sun Sep 27 22:30:47 UTC 2026
% 0.11/0.38  % CPUTime  : 
% 0.11/0.38  Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.11/0.41  Running first-order model finding
% 0.11/0.41  Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 2.84/0.91  % (4026443)Will run a generic schedule for satisfiability detection.
% 2.84/0.91  % (4026451)dis+10_1_sil=32000:sp=arity:random_seed=3559915509:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 2.84/0.91  % (4026449)% WARNING: option uhcvi not known.
% 2.84/0.91  % (4026448)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=4039578888_2999 on theBenchmark for (2999ds/0Mi)
% 2.84/0.91  % (4026449)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1151239826:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 2.84/0.91  % (4026450)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=1276861421:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 2.84/0.91  % (4026453)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1829176000:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 2.84/0.91  % (4026452)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=675459651:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 2.84/0.91  % (4026454)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=725353508:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 2.84/0.91  % Detected minimum model sizes of [4]
% 2.84/0.91  % Detected maximum model sizes of [max]
% 2.84/0.91  % TRYING [4]
% 2.84/0.91  % TRYING [5]
% 2.84/0.91  % (4026451)Instruction limit reached! 
% 2.84/0.91  % (4026451)------------------------------
% 2.84/0.91  % (4026451)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.84/0.91  % (4026451)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.84/0.91  % (4026451)CaDiCaL version: 2.1.3
% 2.84/0.91  % (4026451)Termination reason: Instruction limit
% 2.84/0.91  % (4026451)Termination phase: Saturation
% 2.84/0.91  % (4026451)Time elapsed: 0.039 s
% 2.84/0.91  % (4026451)Peak memory usage: 12 MB
% 2.84/0.91  % (4026451)Instructions burned: 105 (million)
% 2.84/0.91  % (4026462)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=2399348518:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 2.84/0.91  % Detected minimum model sizes of [4]
% 2.84/0.91  % Detected maximum model sizes of [max]
% 2.84/0.91  % TRYING [4]
% 2.84/0.91  % TRYING [5]
% 2.84/0.91  % TRYING [6]
% 2.84/0.91  % (4026452)Instruction limit reached! 
% 2.84/0.91  % (4026452)------------------------------
% 2.84/0.91  % (4026452)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.84/0.91  % (4026452)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.84/0.91  % (4026452)CaDiCaL version: 2.1.3
% 2.84/0.91  % (4026452)Termination reason: Instruction limit
% 2.84/0.91  % (4026452)Termination phase: Saturation
% 2.84/0.91  % (4026452)Time elapsed: 0.066 s
% 2.84/0.91  % (4026452)Peak memory usage: 12 MB
% 2.84/0.91  % (4026452)Instructions burned: 118 (million)
% 2.84/0.91  % (4026454)Instruction limit reached! 
% 2.84/0.91  % (4026454)------------------------------
% 2.84/0.91  % (4026454)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.84/0.91  % (4026454)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.84/0.91  % (4026454)CaDiCaL version: 2.1.3
% 2.84/0.91  % (4026454)Termination reason: Instruction limit
% 2.84/0.91  % (4026454)Termination phase: Saturation
% 2.84/0.91  % (4026454)Time elapsed: 0.066 s
% 2.84/0.91  % (4026454)Peak memory usage: 12 MB
% 2.84/0.91  % (4026454)Instructions burned: 159 (million)
% 2.84/0.91  % TRYING [6]
% 2.84/0.91  % (4026465)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=4108298615:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 2.84/0.91  % (4026464)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=3304630564:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 2.84/0.91  % (4026453)Instruction limit reached! 
% 2.84/0.91  % (4026453)------------------------------
% 2.84/0.91  % (4026453)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.84/0.91  % (4026453)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.84/0.91  % (4026453)CaDiCaL version: 2.1.3
% 2.84/0.91  % (4026453)Termination reason: Instruction limit
% 2.84/0.91  % (4026453)Termination phase: Saturation
% 2.84/0.91  % (4026453)Time elapsed: 0.089 s
% 2.84/0.91  % (4026453)Peak memory usage: 13 MB
% 2.84/0.91  % (4026453)Instructions burned: 132 (million)
% 2.84/0.91  % (4026468)ott-21_1_sil=16000:fs=off:random_seed=2900528529:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 2.84/0.91  % TRYING [7]
% 2.84/0.91  % TRYING [7]
% 2.84/0.91  % (4026464)Instruction limit reached! 
% 2.84/0.91  % (4026464)------------------------------
% 2.84/0.91  % (4026464)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.84/0.91  % (4026464)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.84/0.91  % (4026464)CaDiCaL version: 2.1.3
% 2.84/0.91  % (4026464)Termination reason: Instruction limit
% 2.84/0.91  % (4026464)Termination phase: Saturation
% 2.84/0.91  % (4026464)Time elapsed: 0.094 s
% 2.84/0.91  % (4026464)Peak memory usage: 13 MB
% 2.84/0.91  % (4026464)Instructions burned: 131 (million)
% 2.84/0.91  % (4026462)Instruction limit reached! 
% 2.84/0.91  % (4026462)------------------------------
% 2.84/0.91  % (4026462)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.84/0.91  % (4026462)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.84/0.91  % (4026462)CaDiCaL version: 2.1.3
% 2.84/0.91  % (4026462)Termination reason: Instruction limit
% 2.84/0.91  % (4026462)Termination phase: Finite model building constraint generation
% 2.84/0.91  % (4026462)Time elapsed: 0.159 s
% 2.84/0.91  % (4026462)Peak memory usage: 33 MB
% 2.84/0.91  % (4026462)Instructions burned: 718 (million)
% 2.84/0.91  % (4026470)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=585036111:i=477:bd=all_2997 on theBenchmark for (2997ds/477Mi)
% 2.84/0.91  % (4026468)Instruction limit reached! 
% 2.84/0.91  % (4026468)------------------------------
% 2.84/0.91  % (4026468)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.84/0.91  % (4026468)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.84/0.91  % (4026468)CaDiCaL version: 2.1.3
% 2.84/0.91  % (4026468)Termination reason: Instruction limit
% 2.84/0.91  % (4026468)Termination phase: Saturation
% 2.84/0.91  % (4026468)Time elapsed: 0.100 s
% 2.84/0.91  % (4026468)Peak memory usage: 13 MB
% 2.84/0.91  % (4026468)Instructions burned: 180 (million)
% 2.84/0.91  % (4026472)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=1063311005:fmbsr=1.3:i=865:ins=25_2997 on theBenchmark for (2997ds/865Mi)
% 2.84/0.91  % Detected minimum model sizes of [4]
% 2.84/0.91  % Detected maximum model sizes of [max]
% 2.84/0.91  % (4026473)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=3483999070:i=1179_2997 on theBenchmark for (2997ds/1179Mi)
% 2.84/0.91  % TRYING [4]
% 2.84/0.91  % TRYING [5]
% 2.84/0.91  % TRYING [6]
% 2.84/0.91  % TRYING [8]
% 2.84/0.91  % TRYING [7]
% 2.84/0.91  % (4026472)Instruction limit reached! 
% 2.84/0.91  % (4026472)------------------------------
% 2.84/0.91  % (4026472)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.84/0.91  % (4026472)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.84/0.91  % (4026472)CaDiCaL version: 2.1.3
% 2.84/0.91  % (4026472)Termination reason: Instruction limit
% 2.84/0.91  % (4026472)Termination phase: Finite model building constraint generation
% 2.84/0.91  % (4026472)Time elapsed: 0.186 s
% 2.84/0.91  % (4026472)Peak memory usage: 25 MB
% 2.84/0.91  % (4026472)Instructions burned: 865 (million)
% 2.84/0.91  % (4026476)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=3669964149:i=889:ins=1_2995 on theBenchmark for (2995ds/889Mi)
% 2.84/0.91  % (4026473) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-4026443-4026473"...
% 2.84/0.91  % (4026473)...printing done.
% 2.84/0.91  % (4026473)Refutation found. Thanks to Tanya!
% 2.84/0.91  % SZS status Theorem for theBenchmark
% 2.84/0.91  % SZS output start Proof for theBenchmark
% See solution above
% 2.84/0.91  % (4026473)------------------------------
% 2.84/0.91  % (4026473)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.84/0.91  % (4026473)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.84/0.91  % (4026473)CaDiCaL version: 2.1.3
% 2.84/0.91  % (4026473)Termination reason: Refutation
% 2.84/0.91  % (4026473)Time elapsed: 0.214 s
% 2.84/0.91  % (4026473)Peak memory usage: 16 MB
% 2.84/0.91  % (4026473)Instructions burned: 332 (million)
% 2.84/0.91  % (4026443)Success in time 0.488 s
% 2.84/0.91  % Vampire exiting
%------------------------------------------------------------------------------