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

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%------------------------------------------------------------------------------
% File     : Vampire-SAT---5.0.1
% Problem  : PRO001+4 : TPTP v9.3.1. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT

% Computer : n007.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 12:30:31 PM UTC 2026

% Result   : Theorem 80.79s 12.01s
% Output   : Refutation 80.79s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   21
%            Number of leaves      :   23
% Syntax   : Number of formulae    :  167 (  37 unt;   2 def)
%            Number of atoms       :  493 (  30 equ)
%            Maximal formula atoms :    8 (   2 avg)
%            Number of connectives :  526 ( 200   ~; 189   |; 108   &)
%                                         (   6 <=>;  23  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   13 (   6 avg)
%            Maximal term depth    :    5 (   1 avg)
%            Number of predicates  :   21 (  19 usr;   3 prp; 0-5 aty)
%            Number of functors    :   22 (  22 usr;   7 con; 0-5 aty)
%            Number of variables   :  404 (   0 sgn 351   !;  53   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,axiom,
    ! [X0,X1] :
      ( ( occurrence_of(X1,X0)
        & ~ atomic(X0) )
     => ? [X2] :
          ( root(X2,X0)
          & subactivity_occurrence(X2,X1) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos) ).

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

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

fof(f7,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/sandbox/benchmark/theBenchmark.p',sos_06) ).

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

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

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

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

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

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

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

fof(f27,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/sandbox/benchmark/theBenchmark.p',sos_26) ).

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

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

fof(f47,axiom,
    ! [X0,X1,X2,X3,X4] :
      ( send_message(X0,X1,X2,X3,X4)
     => ( X0 != tptp4
        & X0 != tptp3
        & X0 != tptp2 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_46) ).

fof(f48,axiom,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ( send_message(X0,X1,X2,X3,X4)
        & occurrence_of(X5,X0) )
     => min_precedes(X3,X5,X4) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_47) ).

fof(f49,axiom,
    ! [X0,X1,X2,X3,X4] :
      ( transmit_message(X0,X1,X2,X3,X4)
     => ( activity(X0)
        & ~ atomic(X0)
        & root(X1,X2)
        & root(X3,X4) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_48) ).

fof(f52,axiom,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ( transmit_message(X0,X1,X2,X3,X4)
        & occurrence_of(X5,X0) )
     => ? [X6,X7] :
          ( send_message(X6,X1,X2,X3,X4)
          & occurrence_of(X7,X6)
          & root_occ(X7,X5) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_51) ).

fof(f53,axiom,
    ! [X0,X1,X2] :
      ( tptp1(X0,X1,X2)
     => ( activity(X0)
        & ~ atomic(X0)
        & ~ atomic(X1)
        & root(X2,X1) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_52) ).

fof(f54,axiom,
    ! [X0,X1,X2,X3] :
      ( ( tptp1(X0,X1,X2)
        & occurrence_of(X3,X0) )
     => ? [X4,X5,X6,X7] :
          ( transmit_message(X4,X5,X6,X2,X1)
          & occurrence_of(X7,X4)
          & subactivity_occurrence(X7,X3) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_53) ).

fof(f56,conjecture,
    ~ ? [X0,X1,X2] :
        ( tptp1(X0,tptp0,X1)
        & occurrence_of(X2,X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',goals) ).

fof(f57,negated_conjecture,
    ~ ~ ? [X0,X1,X2] :
          ( tptp1(X0,tptp0,X1)
          & occurrence_of(X2,X0) ),
    inference(negated_conjecture,[status(cth)],[f56]) ).

fof(f58,plain,
    ? [X0,X1,X2] :
      ( tptp1(X0,tptp0,X1)
      & occurrence_of(X2,X0) ),
    inference(flattening,[],[f57]) ).

fof(f59,plain,
    ! [X0,X1] :
      ( atocc(X0,X1)
     => ? [X2] :
          ( subactivity(X1,X2)
          & atomic(X2)
          & occurrence_of(X0,X2) ) ),
    inference(unused_predicate_definition_removal,[],[f15]) ).

fof(f60,plain,
    ! [X0,X1] :
      ( root(X1,X0)
     => ? [X2] : atocc(X1,X2) ),
    inference(pure_predicate_removal,[],[f6]) ).

fof(f61,plain,
    ! [X0,X1] :
      ( atocc(X0,X1)
     => ? [X2] :
          ( atomic(X2)
          & occurrence_of(X0,X2) ) ),
    inference(pure_predicate_removal,[],[f59]) ).

fof(f62,plain,
    ! [X0] :
      ( activity_occurrence(X0)
     => ? [X1] : occurrence_of(X0,X1) ),
    inference(pure_predicate_removal,[],[f13]) ).

fof(f63,plain,
    ! [X0,X1,X2] :
      ( tptp1(X0,X1,X2)
     => ( ~ atomic(X0)
        & ~ atomic(X1)
        & root(X2,X1) ) ),
    inference(pure_predicate_removal,[],[f53]) ).

fof(f65,plain,
    ! [X0,X1,X2,X3,X4] :
      ( transmit_message(X0,X1,X2,X3,X4)
     => ( ~ atomic(X0)
        & root(X1,X2)
        & root(X3,X4) ) ),
    inference(pure_predicate_removal,[],[f49]) ).

fof(f68,plain,
    ! [X0,X1] :
      ( ? [X2] :
          ( root(X2,X0)
          & subactivity_occurrence(X2,X1) )
      | ~ occurrence_of(X1,X0)
      | atomic(X0) ),
    inference(ennf_transformation,[],[f1]) ).

fof(f69,plain,
    ! [X0,X1] :
      ( ? [X2] :
          ( root(X2,X0)
          & subactivity_occurrence(X2,X1) )
      | ~ occurrence_of(X1,X0)
      | atomic(X0) ),
    inference(flattening,[],[f68]) ).

fof(f72,plain,
    ! [X0,X1,X2,X3] :
      ( X3 = X2
      | ~ occurrence_of(X1,X0)
      | ~ subactivity_occurrence(X2,X1)
      | ~ leaf_occ(X3,X1)
      | ~ arboreal(X2)
      | min_precedes(X2,X3,X0) ),
    inference(ennf_transformation,[],[f3]) ).

fof(f73,plain,
    ! [X0,X1,X2,X3] :
      ( X3 = X2
      | ~ occurrence_of(X1,X0)
      | ~ subactivity_occurrence(X2,X1)
      | ~ leaf_occ(X3,X1)
      | ~ arboreal(X2)
      | min_precedes(X2,X3,X0) ),
    inference(flattening,[],[f72]) ).

fof(f77,plain,
    ! [X0,X1] :
      ( ? [X2] : atocc(X1,X2)
      | ~ root(X1,X0) ),
    inference(ennf_transformation,[],[f60]) ).

fof(f78,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,[],[f7]) ).

fof(f81,plain,
    ! [X0,X1,X2] :
      ( X1 = X2
      | ~ occurrence_of(X0,X1)
      | ~ occurrence_of(X0,X2) ),
    inference(ennf_transformation,[],[f9]) ).

fof(f82,plain,
    ! [X0,X1,X2] :
      ( X1 = X2
      | ~ occurrence_of(X0,X1)
      | ~ occurrence_of(X0,X2) ),
    inference(flattening,[],[f81]) ).

fof(f87,plain,
    ! [X0,X1] :
      ( ( activity_occurrence(X0)
        & activity_occurrence(X1) )
      | ~ subactivity_occurrence(X0,X1) ),
    inference(ennf_transformation,[],[f12]) ).

fof(f88,plain,
    ! [X0] :
      ( ? [X1] : occurrence_of(X0,X1)
      | ~ activity_occurrence(X0) ),
    inference(ennf_transformation,[],[f62]) ).

fof(f89,plain,
    ! [X0] :
      ( arboreal(X0)
      | ~ legal(X0) ),
    inference(ennf_transformation,[],[f14]) ).

fof(f90,plain,
    ! [X0,X1] :
      ( ? [X2] :
          ( atomic(X2)
          & occurrence_of(X0,X2) )
      | ~ atocc(X0,X1) ),
    inference(ennf_transformation,[],[f61]) ).

fof(f93,plain,
    ! [X0,X1] :
      ( legal(X0)
      | ~ root(X0,X1) ),
    inference(ennf_transformation,[],[f18]) ).

fof(f99,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,[],[f27]) ).

fof(f104,plain,
    ! [X0,X1,X2,X3] :
      ( X0 = X1
      | ~ occurrence_of(X2,X3)
      | ~ root_occ(X0,X2)
      | ~ root_occ(X1,X2) ),
    inference(ennf_transformation,[],[f30]) ).

fof(f105,plain,
    ! [X0,X1,X2,X3] :
      ( X0 = X1
      | ~ occurrence_of(X2,X3)
      | ~ root_occ(X0,X2)
      | ~ root_occ(X1,X2) ),
    inference(flattening,[],[f104]) ).

fof(f110,plain,
    ! [X0] :
      ( ? [X1,X2] :
          ( occurrence_of(X1,tptp4)
          & root_occ(X1,X0)
          & ( occurrence_of(X2,tptp3)
            | occurrence_of(X2,tptp2) )
          & leaf_occ(X2,X0)
          & next_subocc(X1,X2,tptp0) )
      | ~ occurrence_of(X0,tptp0) ),
    inference(ennf_transformation,[],[f33]) ).

fof(f112,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ( X0 != tptp4
        & X0 != tptp3
        & X0 != tptp2 )
      | ~ send_message(X0,X1,X2,X3,X4) ),
    inference(ennf_transformation,[],[f47]) ).

fof(f113,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( min_precedes(X3,X5,X4)
      | ~ send_message(X0,X1,X2,X3,X4)
      | ~ occurrence_of(X5,X0) ),
    inference(ennf_transformation,[],[f48]) ).

fof(f114,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( min_precedes(X3,X5,X4)
      | ~ send_message(X0,X1,X2,X3,X4)
      | ~ occurrence_of(X5,X0) ),
    inference(flattening,[],[f113]) ).

fof(f115,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ( ~ atomic(X0)
        & root(X1,X2)
        & root(X3,X4) )
      | ~ transmit_message(X0,X1,X2,X3,X4) ),
    inference(ennf_transformation,[],[f65]) ).

fof(f117,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ? [X6,X7] :
          ( send_message(X6,X1,X2,X3,X4)
          & occurrence_of(X7,X6)
          & root_occ(X7,X5) )
      | ~ transmit_message(X0,X1,X2,X3,X4)
      | ~ occurrence_of(X5,X0) ),
    inference(ennf_transformation,[],[f52]) ).

fof(f118,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ? [X6,X7] :
          ( send_message(X6,X1,X2,X3,X4)
          & occurrence_of(X7,X6)
          & root_occ(X7,X5) )
      | ~ transmit_message(X0,X1,X2,X3,X4)
      | ~ occurrence_of(X5,X0) ),
    inference(flattening,[],[f117]) ).

fof(f119,plain,
    ! [X0,X1,X2] :
      ( ( ~ atomic(X0)
        & ~ atomic(X1)
        & root(X2,X1) )
      | ~ tptp1(X0,X1,X2) ),
    inference(ennf_transformation,[],[f63]) ).

fof(f120,plain,
    ! [X0,X1,X2,X3] :
      ( ? [X4,X5,X6,X7] :
          ( transmit_message(X4,X5,X6,X2,X1)
          & occurrence_of(X7,X4)
          & subactivity_occurrence(X7,X3) )
      | ~ tptp1(X0,X1,X2)
      | ~ occurrence_of(X3,X0) ),
    inference(ennf_transformation,[],[f54]) ).

fof(f121,plain,
    ! [X0,X1,X2,X3] :
      ( ? [X4,X5,X6,X7] :
          ( transmit_message(X4,X5,X6,X2,X1)
          & occurrence_of(X7,X4)
          & subactivity_occurrence(X7,X3) )
      | ~ tptp1(X0,X1,X2)
      | ~ occurrence_of(X3,X0) ),
    inference(flattening,[],[f120]) ).

fof(f122,plain,
    ! [X0,X1] :
      ( ( root(sK0(X0,X1),X0)
        & subactivity_occurrence(sK0(X0,X1),X1) )
      | ~ occurrence_of(X1,X0)
      | atomic(X0) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK0]),skolemize(X2,sK0(X0,X1))],[f69]) ).

fof(f123,plain,
    ! [X0,X1] :
      ( atocc(X1,sK1(X1))
      | ~ root(X1,X0) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK1]),skolemize(X2,sK1(X1))],[f77]) ).

fof(f124,plain,
    ! [X0,X1,X2] :
      ( ( occurrence_of(sK2(X0,X1,X2),X0)
        & subactivity_occurrence(X1,sK2(X0,X1,X2))
        & subactivity_occurrence(X2,sK2(X0,X1,X2)) )
      | ~ min_precedes(X1,X2,X0) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK2]),skolemize(X3,sK2(X0,X1,X2))],[f78]) ).

fof(f126,plain,
    ! [X0] :
      ( occurrence_of(X0,sK4(X0))
      | ~ activity_occurrence(X0) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK4]),skolemize(X1,sK4(X0))],[f88]) ).

fof(f127,plain,
    ! [X0,X1] :
      ( ( atomic(sK5(X0))
        & occurrence_of(X0,sK5(X0)) )
      | ~ atocc(X0,X1) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK5]),skolemize(X2,sK5(X0))],[f90]) ).

fof(f136,plain,
    ! [X0,X1] :
      ( ( root_occ(X0,X1)
        | ! [X2] :
            ( ~ occurrence_of(X1,X2)
            | ~ subactivity_occurrence(X0,X1)
            | ~ root(X0,X2) ) )
      & ( ? [X2] :
            ( occurrence_of(X1,X2)
            & subactivity_occurrence(X0,X1)
            & root(X0,X2) )
        | ~ root_occ(X0,X1) ) ),
    inference(nnf_transformation,[],[f20]) ).

fof(f137,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,[],[f136]) ).

fof(f138,plain,
    ! [X0,X1] :
      ( ( root_occ(X0,X1)
        | ! [X2] :
            ( ~ occurrence_of(X1,X2)
            | ~ subactivity_occurrence(X0,X1)
            | ~ root(X0,X2) ) )
      & ( ( occurrence_of(X1,sK9(X0,X1))
          & subactivity_occurrence(X0,X1)
          & root(X0,sK9(X0,X1)) )
        | ~ root_occ(X0,X1) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK9]),skolemize(X3,sK9(X0,X1))],[f137]) ).

fof(f142,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,[],[f99]) ).

fof(f143,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,[],[f142]) ).

fof(f144,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,[],[f143]) ).

fof(f145,plain,
    ! [X0,X1,X2] :
      ( ( next_subocc(X0,X1,X2)
        | ~ min_precedes(X0,X1,X2)
        | ( min_precedes(X0,sK11(X0,X1,X2),X2)
          & min_precedes(sK11(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,[sK11]),skolemize(X3,sK11(X0,X1,X2))],[f144]) ).

fof(f146,plain,
    ! [X0] :
      ( ( occurrence_of(sK12(X0),tptp4)
        & root_occ(sK12(X0),X0)
        & ( occurrence_of(sK13(X0),tptp3)
          | occurrence_of(sK13(X0),tptp2) )
        & leaf_occ(sK13(X0),X0)
        & next_subocc(sK12(X0),sK13(X0),tptp0) )
      | ~ occurrence_of(X0,tptp0) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK12,sK13]),skolemize(X1,sK12(X0)),skolemize(X2,sK13(X0))],[f110]) ).

fof(f147,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ( send_message(sK14(X1,X2,X3,X4,X5),X1,X2,X3,X4)
        & occurrence_of(sK15(X1,X2,X3,X4,X5),sK14(X1,X2,X3,X4,X5))
        & root_occ(sK15(X1,X2,X3,X4,X5),X5) )
      | ~ transmit_message(X0,X1,X2,X3,X4)
      | ~ occurrence_of(X5,X0) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK14,sK15]),skolemize(X6,sK14(X1,X2,X3,X4,X5)),skolemize(X7,sK15(X1,X2,X3,X4,X5))],[f118]) ).

fof(f148,plain,
    ! [X0,X1,X2,X3] :
      ( ( transmit_message(sK16(X1,X2,X3),sK17(X1,X2,X3),sK18(X1,X2,X3),X2,X1)
        & occurrence_of(sK19(X1,X2,X3),sK16(X1,X2,X3))
        & subactivity_occurrence(sK19(X1,X2,X3),X3) )
      | ~ tptp1(X0,X1,X2)
      | ~ occurrence_of(X3,X0) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK16,sK17,sK18,sK19]),skolemize(X4,sK16(X1,X2,X3)),skolemize(X5,sK17(X1,X2,X3)),skolemize(X6,sK18(X1,X2,X3)),skolemize(X7,sK19(X1,X2,X3))],[f121]) ).

fof(f149,plain,
    ( tptp1(sK20,tptp0,sK21)
    & occurrence_of(sK22,sK20) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK20,sK21,sK22]),skolemize(X0,sK20),skolemize(X1,sK21),skolemize(X2,sK22)],[f58]) ).

fof(f150,plain,
    ! [X0,X1] :
      ( subactivity_occurrence(sK0(X0,X1),X1)
      | ~ occurrence_of(X1,X0)
      | atomic(X0) ),
    inference(cnf_transformation,[],[f122]) ).

fof(f151,plain,
    ! [X0,X1] :
      ( root(sK0(X0,X1),X0)
      | ~ occurrence_of(X1,X0)
      | atomic(X0) ),
    inference(cnf_transformation,[],[f122]) ).

fof(f153,plain,
    ! [X2,X3,X0,X1] :
      ( ~ leaf_occ(X3,X1)
      | ~ occurrence_of(X1,X0)
      | ~ subactivity_occurrence(X2,X1)
      | X2 = X3
      | ~ arboreal(X2)
      | min_precedes(X2,X3,X0) ),
    inference(cnf_transformation,[],[f73]) ).

fof(f156,plain,
    ! [X0,X1] :
      ( atocc(X1,sK1(X1))
      | ~ root(X1,X0) ),
    inference(cnf_transformation,[],[f123]) ).

fof(f157,plain,
    ! [X2,X0,X1] :
      ( subactivity_occurrence(X2,sK2(X0,X1,X2))
      | ~ min_precedes(X1,X2,X0) ),
    inference(cnf_transformation,[],[f124]) ).

fof(f158,plain,
    ! [X2,X0,X1] :
      ( subactivity_occurrence(X1,sK2(X0,X1,X2))
      | ~ min_precedes(X1,X2,X0) ),
    inference(cnf_transformation,[],[f124]) ).

fof(f159,plain,
    ! [X2,X0,X1] :
      ( ~ min_precedes(X1,X2,X0)
      | occurrence_of(sK2(X0,X1,X2),X0) ),
    inference(cnf_transformation,[],[f124]) ).

fof(f162,plain,
    ! [X2,X0,X1] :
      ( ~ occurrence_of(X0,X2)
      | ~ occurrence_of(X0,X1)
      | X1 = X2 ),
    inference(cnf_transformation,[],[f82]) ).

fof(f166,plain,
    ! [X0,X1] :
      ( ~ subactivity_occurrence(X0,X1)
      | activity_occurrence(X0) ),
    inference(cnf_transformation,[],[f87]) ).

fof(f167,plain,
    ! [X0] :
      ( ~ activity_occurrence(X0)
      | occurrence_of(X0,sK4(X0)) ),
    inference(cnf_transformation,[],[f126]) ).

fof(f168,plain,
    ! [X0] :
      ( ~ legal(X0)
      | arboreal(X0) ),
    inference(cnf_transformation,[],[f89]) ).

fof(f169,plain,
    ! [X0,X1] :
      ( ~ atocc(X0,X1)
      | occurrence_of(X0,sK5(X0)) ),
    inference(cnf_transformation,[],[f127]) ).

fof(f177,plain,
    ! [X0,X1] :
      ( ~ root(X0,X1)
      | legal(X0) ),
    inference(cnf_transformation,[],[f93]) ).

fof(f185,plain,
    ! [X2,X0,X1] :
      ( ~ subactivity_occurrence(X0,X1)
      | ~ occurrence_of(X1,X2)
      | root_occ(X0,X1)
      | ~ root(X0,X2) ),
    inference(cnf_transformation,[],[f138]) ).

fof(f196,plain,
    ! [X2,X0,X1,X4] :
      ( ~ next_subocc(X0,X1,X2)
      | ~ min_precedes(X4,X1,X2)
      | ~ min_precedes(X0,X4,X2) ),
    inference(cnf_transformation,[],[f145]) ).

fof(f202,plain,
    ! [X2,X3,X0,X1] :
      ( ~ root_occ(X1,X2)
      | ~ occurrence_of(X2,X3)
      | ~ root_occ(X0,X2)
      | X0 = X1 ),
    inference(cnf_transformation,[],[f105]) ).

fof(f205,plain,
    ! [X0] :
      ( next_subocc(sK12(X0),sK13(X0),tptp0)
      | ~ occurrence_of(X0,tptp0) ),
    inference(cnf_transformation,[],[f146]) ).

fof(f206,plain,
    ! [X0] :
      ( leaf_occ(sK13(X0),X0)
      | ~ occurrence_of(X0,tptp0) ),
    inference(cnf_transformation,[],[f146]) ).

fof(f207,plain,
    ! [X0] :
      ( occurrence_of(sK13(X0),tptp2)
      | occurrence_of(sK13(X0),tptp3)
      | ~ occurrence_of(X0,tptp0) ),
    inference(cnf_transformation,[],[f146]) ).

fof(f208,plain,
    ! [X0] :
      ( root_occ(sK12(X0),X0)
      | ~ occurrence_of(X0,tptp0) ),
    inference(cnf_transformation,[],[f146]) ).

fof(f224,plain,
    ! [X2,X3,X0,X1,X4] :
      ( tptp2 != X0
      | ~ send_message(X0,X1,X2,X3,X4) ),
    inference(cnf_transformation,[],[f112]) ).

fof(f225,plain,
    ! [X2,X3,X0,X1,X4] :
      ( tptp3 != X0
      | ~ send_message(X0,X1,X2,X3,X4) ),
    inference(cnf_transformation,[],[f112]) ).

fof(f227,plain,
    ! [X2,X3,X0,X1,X4,X5] :
      ( ~ send_message(X0,X1,X2,X3,X4)
      | min_precedes(X3,X5,X4)
      | ~ occurrence_of(X5,X0) ),
    inference(cnf_transformation,[],[f114]) ).

fof(f230,plain,
    ! [X2,X3,X0,X1,X4] :
      ( ~ transmit_message(X0,X1,X2,X3,X4)
      | ~ atomic(X0) ),
    inference(cnf_transformation,[],[f115]) ).

fof(f233,plain,
    ! [X2,X3,X0,X1,X4,X5] :
      ( ~ transmit_message(X0,X1,X2,X3,X4)
      | root_occ(sK15(X1,X2,X3,X4,X5),X5)
      | ~ occurrence_of(X5,X0) ),
    inference(cnf_transformation,[],[f147]) ).

fof(f234,plain,
    ! [X2,X3,X0,X1,X4,X5] :
      ( ~ transmit_message(X0,X1,X2,X3,X4)
      | occurrence_of(sK15(X1,X2,X3,X4,X5),sK14(X1,X2,X3,X4,X5))
      | ~ occurrence_of(X5,X0) ),
    inference(cnf_transformation,[],[f147]) ).

fof(f235,plain,
    ! [X2,X3,X0,X1,X4,X5] :
      ( send_message(sK14(X1,X2,X3,X4,X5),X1,X2,X3,X4)
      | ~ transmit_message(X0,X1,X2,X3,X4)
      | ~ occurrence_of(X5,X0) ),
    inference(cnf_transformation,[],[f147]) ).

fof(f236,plain,
    ! [X2,X0,X1] :
      ( ~ tptp1(X0,X1,X2)
      | root(X2,X1) ),
    inference(cnf_transformation,[],[f119]) ).

fof(f239,plain,
    ! [X2,X3,X0,X1] :
      ( ~ tptp1(X0,X1,X2)
      | subactivity_occurrence(sK19(X1,X2,X3),X3)
      | ~ occurrence_of(X3,X0) ),
    inference(cnf_transformation,[],[f148]) ).

fof(f240,plain,
    ! [X2,X3,X0,X1] :
      ( ~ tptp1(X0,X1,X2)
      | occurrence_of(sK19(X1,X2,X3),sK16(X1,X2,X3))
      | ~ occurrence_of(X3,X0) ),
    inference(cnf_transformation,[],[f148]) ).

fof(f241,plain,
    ! [X2,X3,X0,X1] :
      ( ~ tptp1(X0,X1,X2)
      | transmit_message(sK16(X1,X2,X3),sK17(X1,X2,X3),sK18(X1,X2,X3),X2,X1)
      | ~ occurrence_of(X3,X0) ),
    inference(cnf_transformation,[],[f148]) ).

fof(f243,plain,
    occurrence_of(sK22,sK20),
    inference(cnf_transformation,[],[f149]) ).

fof(f244,plain,
    tptp1(sK20,tptp0,sK21),
    inference(cnf_transformation,[],[f149]) ).

fof(f246,plain,
    ! [X2,X3,X1,X4] : ~ send_message(tptp3,X1,X2,X3,X4),
    inference(equality_resolution,[],[f225]) ).

fof(f247,plain,
    ! [X2,X3,X1,X4] : ~ send_message(tptp2,X1,X2,X3,X4),
    inference(equality_resolution,[],[f224]) ).

fof(f267,plain,
    ! [X0,X1] :
      ( ~ root(X0,X1)
      | occurrence_of(X0,sK5(X0)) ),
    inference(resolution,[],[f169,f156]) ).

fof(f295,plain,
    root(sK21,tptp0),
    inference(unit_resulting_resolution,[],[f236,f244]) ).

fof(f488,plain,
    ! [X0,X1] :
      ( ~ occurrence_of(X0,X1)
      | atomic(X1)
      | occurrence_of(sK0(X1,X0),sK5(sK0(X1,X0))) ),
    inference(resolution,[],[f151,f267]) ).

fof(f490,plain,
    ! [X0,X1] :
      ( legal(sK0(X1,X0))
      | atomic(X1)
      | ~ occurrence_of(X0,X1) ),
    inference(resolution,[],[f151,f177]) ).

fof(f563,plain,
    ! [X0,X1] :
      ( arboreal(sK0(X0,X1))
      | ~ occurrence_of(X1,X0)
      | atomic(X0) ),
    inference(resolution,[],[f490,f168]) ).

fof(f923,plain,
    ! [X2,X0,X1] :
      ( ~ root(sK0(X2,X0),X1)
      | root_occ(sK0(X2,X0),X0)
      | ~ occurrence_of(X0,X1)
      | ~ occurrence_of(X0,X2)
      | atomic(X2) ),
    inference(resolution,[],[f185,f150]) ).

fof(f925,plain,
    ! [X2,X3,X0,X1] :
      ( ~ occurrence_of(sK2(X0,X1,X2),X3)
      | root_occ(X1,sK2(X0,X1,X2))
      | ~ root(X1,X3)
      | ~ min_precedes(X1,X2,X0) ),
    inference(resolution,[],[f185,f158]) ).

fof(f1280,plain,
    ! [X2,X0,X1] :
      ( ~ root_occ(X2,X0)
      | ~ occurrence_of(X0,X1)
      | sK12(X0) = X2
      | ~ occurrence_of(X0,tptp0) ),
    inference(resolution,[],[f202,f208]) ).

fof(f2245,plain,
    subactivity_occurrence(sK19(tptp0,sK21,sK22),sK22),
    inference(unit_resulting_resolution,[],[f239,f243,f244]) ).

fof(f2247,plain,
    activity_occurrence(sK19(tptp0,sK21,sK22)),
    inference(unit_resulting_resolution,[],[f166,f2245]) ).

fof(f2252,plain,
    occurrence_of(sK19(tptp0,sK21,sK22),sK4(sK19(tptp0,sK21,sK22))),
    inference(unit_resulting_resolution,[],[f167,f2247]) ).

fof(f3057,plain,
    occurrence_of(sK19(tptp0,sK21,sK22),sK16(tptp0,sK21,sK22)),
    inference(unit_resulting_resolution,[],[f240,f243,f244]) ).

fof(f3548,plain,
    ! [X2,X0,X1] :
      ( ~ subactivity_occurrence(X2,X0)
      | ~ occurrence_of(X0,X1)
      | sK13(X0) = X2
      | ~ arboreal(X2)
      | min_precedes(X2,sK13(X0),X1)
      | ~ occurrence_of(X0,tptp0) ),
    inference(resolution,[],[f153,f206]) ).

fof(f3760,plain,
    ! [X2,X3,X0,X1,X6,X4,X5] :
      ( ~ occurrence_of(X6,sK14(X1,X2,X3,X4,X5))
      | ~ occurrence_of(X5,X0)
      | min_precedes(X3,X6,X4)
      | ~ transmit_message(X0,X1,X2,X3,X4) ),
    inference(resolution,[],[f235,f227]) ).

fof(f4235,plain,
    transmit_message(sK16(tptp0,sK21,sK22),sK17(tptp0,sK21,sK22),sK18(tptp0,sK21,sK22),sK21,tptp0),
    inference(unit_resulting_resolution,[],[f241,f243,f244]) ).

fof(f4830,plain,
    ~ atomic(sK16(tptp0,sK21,sK22)),
    inference(unit_resulting_resolution,[],[f230,f4235]) ).

fof(f4832,plain,
    root_occ(sK15(sK17(tptp0,sK21,sK22),sK18(tptp0,sK21,sK22),sK21,tptp0,sK19(tptp0,sK21,sK22)),sK19(tptp0,sK21,sK22)),
    inference(unit_resulting_resolution,[],[f233,f3057,f4235]) ).

fof(f4833,plain,
    occurrence_of(sK15(sK17(tptp0,sK21,sK22),sK18(tptp0,sK21,sK22),sK21,tptp0,sK19(tptp0,sK21,sK22)),sK14(sK17(tptp0,sK21,sK22),sK18(tptp0,sK21,sK22),sK21,tptp0,sK19(tptp0,sK21,sK22))),
    inference(unit_resulting_resolution,[],[f234,f3057,f4235]) ).

fof(f4834,plain,
    send_message(sK14(sK17(tptp0,sK21,sK22),sK18(tptp0,sK21,sK22),sK21,tptp0,sK19(tptp0,sK21,sK22)),sK17(tptp0,sK21,sK22),sK18(tptp0,sK21,sK22),sK21,tptp0),
    inference(unit_resulting_resolution,[],[f235,f3057,f4235]) ).

fof(f8416,plain,
    ! [X0,X1] :
      ( root_occ(sK0(X0,X1),X1)
      | ~ occurrence_of(X1,X0)
      | ~ occurrence_of(X1,X0)
      | atomic(X0)
      | ~ occurrence_of(X1,X0)
      | atomic(X0) ),
    inference(resolution,[],[f923,f151]) ).

fof(f8427,plain,
    ! [X0,X1] :
      ( root_occ(sK0(X0,X1),X1)
      | ~ occurrence_of(X1,X0)
      | atomic(X0) ),
    inference(duplicate_literal_removal,[],[f8416]) ).

fof(f13333,plain,
    min_precedes(sK21,sK15(sK17(tptp0,sK21,sK22),sK18(tptp0,sK21,sK22),sK21,tptp0,sK19(tptp0,sK21,sK22)),tptp0),
    inference(unit_resulting_resolution,[],[f3760,f3057,f4235,f4833]) ).

fof(f13419,plain,
    occurrence_of(sK2(tptp0,sK21,sK15(sK17(tptp0,sK21,sK22),sK18(tptp0,sK21,sK22),sK21,tptp0,sK19(tptp0,sK21,sK22))),tptp0),
    inference(unit_resulting_resolution,[],[f159,f13333]) ).

fof(f13846,plain,
    root_occ(sK21,sK2(tptp0,sK21,sK15(sK17(tptp0,sK21,sK22),sK18(tptp0,sK21,sK22),sK21,tptp0,sK19(tptp0,sK21,sK22)))),
    inference(unit_resulting_resolution,[],[f925,f295,f13333,f13419]) ).

fof(f14257,plain,
    sK21 = sK12(sK2(tptp0,sK21,sK15(sK17(tptp0,sK21,sK22),sK18(tptp0,sK21,sK22),sK21,tptp0,sK19(tptp0,sK21,sK22)))),
    inference(unit_resulting_resolution,[],[f1280,f13419,f13419,f13846]) ).

fof(f20276,plain,
    ( next_subocc(sK21,sK13(sK2(tptp0,sK21,sK15(sK17(tptp0,sK21,sK22),sK18(tptp0,sK21,sK22),sK21,tptp0,sK19(tptp0,sK21,sK22)))),tptp0)
    | ~ occurrence_of(sK2(tptp0,sK21,sK15(sK17(tptp0,sK21,sK22),sK18(tptp0,sK21,sK22),sK21,tptp0,sK19(tptp0,sK21,sK22))),tptp0) ),
    inference(superposition,[],[f205,f14257]) ).

fof(f20331,plain,
    next_subocc(sK21,sK13(sK2(tptp0,sK21,sK15(sK17(tptp0,sK21,sK22),sK18(tptp0,sK21,sK22),sK21,tptp0,sK19(tptp0,sK21,sK22)))),tptp0),
    inference(forward_subsumption_resolution,[],[f20276,f13419]) ).

fof(f22439,plain,
    occurrence_of(sK0(sK16(tptp0,sK21,sK22),sK19(tptp0,sK21,sK22)),sK5(sK0(sK16(tptp0,sK21,sK22),sK19(tptp0,sK21,sK22)))),
    inference(unit_resulting_resolution,[],[f488,f3057,f4830]) ).

fof(f22443,plain,
    arboreal(sK0(sK16(tptp0,sK21,sK22),sK19(tptp0,sK21,sK22))),
    inference(unit_resulting_resolution,[],[f563,f3057,f4830]) ).

fof(f22444,plain,
    root_occ(sK0(sK16(tptp0,sK21,sK22),sK19(tptp0,sK21,sK22)),sK19(tptp0,sK21,sK22)),
    inference(unit_resulting_resolution,[],[f8427,f3057,f4830]) ).

fof(f22877,plain,
    sK0(sK16(tptp0,sK21,sK22),sK19(tptp0,sK21,sK22)) = sK15(sK17(tptp0,sK21,sK22),sK18(tptp0,sK21,sK22),sK21,tptp0,sK19(tptp0,sK21,sK22)),
    inference(unit_resulting_resolution,[],[f202,f2252,f4832,f22444]) ).

fof(f23162,plain,
    ! [X0] :
      ( ~ occurrence_of(sK0(sK16(tptp0,sK21,sK22),sK19(tptp0,sK21,sK22)),X0)
      | sK5(sK0(sK16(tptp0,sK21,sK22),sK19(tptp0,sK21,sK22))) = X0 ),
    inference(resolution,[],[f22439,f162]) ).

fof(f44844,plain,
    occurrence_of(sK0(sK16(tptp0,sK21,sK22),sK19(tptp0,sK21,sK22)),sK14(sK17(tptp0,sK21,sK22),sK18(tptp0,sK21,sK22),sK21,tptp0,sK19(tptp0,sK21,sK22))),
    inference(superposition,[],[f4833,f22877]) ).

fof(f44849,plain,
    min_precedes(sK21,sK0(sK16(tptp0,sK21,sK22),sK19(tptp0,sK21,sK22)),tptp0),
    inference(superposition,[],[f13333,f22877]) ).

fof(f44857,plain,
    occurrence_of(sK2(tptp0,sK21,sK0(sK16(tptp0,sK21,sK22),sK19(tptp0,sK21,sK22))),tptp0),
    inference(superposition,[],[f13419,f22877]) ).

fof(f45154,plain,
    subactivity_occurrence(sK0(sK16(tptp0,sK21,sK22),sK19(tptp0,sK21,sK22)),sK2(tptp0,sK21,sK0(sK16(tptp0,sK21,sK22),sK19(tptp0,sK21,sK22)))),
    inference(unit_resulting_resolution,[],[f157,f44849]) ).

fof(f45179,plain,
    ~ min_precedes(sK0(sK16(tptp0,sK21,sK22),sK19(tptp0,sK21,sK22)),sK13(sK2(tptp0,sK21,sK15(sK17(tptp0,sK21,sK22),sK18(tptp0,sK21,sK22),sK21,tptp0,sK19(tptp0,sK21,sK22)))),tptp0),
    inference(unit_resulting_resolution,[],[f196,f20331,f44849]) ).

fof(f45220,plain,
    ~ min_precedes(sK0(sK16(tptp0,sK21,sK22),sK19(tptp0,sK21,sK22)),sK13(sK2(tptp0,sK21,sK0(sK16(tptp0,sK21,sK22),sK19(tptp0,sK21,sK22)))),tptp0),
    inference(forward_demodulation,[],[f45179,f22877]) ).

fof(f53212,plain,
    sK0(sK16(tptp0,sK21,sK22),sK19(tptp0,sK21,sK22)) = sK13(sK2(tptp0,sK21,sK0(sK16(tptp0,sK21,sK22),sK19(tptp0,sK21,sK22)))),
    inference(unit_resulting_resolution,[],[f3548,f22443,f44857,f44857,f45154,f45220]) ).

fof(f53438,plain,
    ( occurrence_of(sK0(sK16(tptp0,sK21,sK22),sK19(tptp0,sK21,sK22)),tptp2)
    | occurrence_of(sK0(sK16(tptp0,sK21,sK22),sK19(tptp0,sK21,sK22)),tptp3)
    | ~ occurrence_of(sK2(tptp0,sK21,sK0(sK16(tptp0,sK21,sK22),sK19(tptp0,sK21,sK22))),tptp0) ),
    inference(superposition,[],[f207,f53212]) ).

fof(f53521,plain,
    ( occurrence_of(sK0(sK16(tptp0,sK21,sK22),sK19(tptp0,sK21,sK22)),tptp2)
    | occurrence_of(sK0(sK16(tptp0,sK21,sK22),sK19(tptp0,sK21,sK22)),tptp3) ),
    inference(forward_subsumption_resolution,[],[f53438,f44857]) ).

fof(f53676,definition,
    ( spl23_58
  <=> occurrence_of(sK0(sK16(tptp0,sK21,sK22),sK19(tptp0,sK21,sK22)),tptp3) ),
    introduced(definition,[new_symbols(definition,[spl23_58])],[avatar_definition]) ).

fof(f53678,plain,
    ( occurrence_of(sK0(sK16(tptp0,sK21,sK22),sK19(tptp0,sK21,sK22)),tptp3)
    | ~ spl23_58 ),
    inference(avatar_component_clause,[],[f53676]) ).

fof(f53680,definition,
    ( spl23_59
  <=> occurrence_of(sK0(sK16(tptp0,sK21,sK22),sK19(tptp0,sK21,sK22)),tptp2) ),
    introduced(definition,[new_symbols(definition,[spl23_59])],[avatar_definition]) ).

fof(f53682,plain,
    ( occurrence_of(sK0(sK16(tptp0,sK21,sK22),sK19(tptp0,sK21,sK22)),tptp2)
    | ~ spl23_59 ),
    inference(avatar_component_clause,[],[f53680]) ).

fof(f53683,plain,
    ( spl23_58
    | spl23_59 ),
    inference(avatar_split_clause,[],[f53521,f53680,f53676]) ).

fof(f53684,plain,
    ( tptp3 = sK5(sK0(sK16(tptp0,sK21,sK22),sK19(tptp0,sK21,sK22)))
    | ~ spl23_58 ),
    inference(unit_resulting_resolution,[],[f23162,f53678]) ).

fof(f65485,plain,
    sK5(sK0(sK16(tptp0,sK21,sK22),sK19(tptp0,sK21,sK22))) = sK14(sK17(tptp0,sK21,sK22),sK18(tptp0,sK21,sK22),sK21,tptp0,sK19(tptp0,sK21,sK22)),
    inference(resolution,[],[f44844,f23162]) ).

fof(f65497,plain,
    ( tptp3 = sK14(sK17(tptp0,sK21,sK22),sK18(tptp0,sK21,sK22),sK21,tptp0,sK19(tptp0,sK21,sK22))
    | ~ spl23_58 ),
    inference(forward_demodulation,[],[f65485,f53684]) ).

fof(f65506,plain,
    ( send_message(tptp3,sK17(tptp0,sK21,sK22),sK18(tptp0,sK21,sK22),sK21,tptp0)
    | ~ spl23_58 ),
    inference(superposition,[],[f4834,f65497]) ).

fof(f65529,plain,
    ( $false
    | ~ spl23_58 ),
    inference(forward_subsumption_resolution,[],[f65506,f246]) ).

fof(f65530,plain,
    ~ spl23_58,
    inference(avatar_contradiction_clause,[],[f65529]) ).

fof(f65554,plain,
    ( tptp2 = sK14(sK17(tptp0,sK21,sK22),sK18(tptp0,sK21,sK22),sK21,tptp0,sK19(tptp0,sK21,sK22))
    | ~ spl23_59 ),
    inference(unit_resulting_resolution,[],[f162,f44844,f53682]) ).

fof(f65759,plain,
    ( send_message(tptp2,sK17(tptp0,sK21,sK22),sK18(tptp0,sK21,sK22),sK21,tptp0)
    | ~ spl23_59 ),
    inference(superposition,[],[f4834,f65554]) ).

fof(f65782,plain,
    ( $false
    | ~ spl23_59 ),
    inference(forward_subsumption_resolution,[],[f65759,f247]) ).

fof(f65783,plain,
    ~ spl23_59,
    inference(avatar_contradiction_clause,[],[f65782]) ).

cnf(s101,plain,
    ( spl23_58
    | spl23_59 ),
    inference(sat_conversion,[],[f53683]) ).

cnf(s103,plain,
    ~ spl23_58,
    inference(sat_conversion,[],[f65530]) ).

cnf(s104,plain,
    ~ spl23_59,
    inference(sat_conversion,[],[f65783]) ).

cnf(s105,plain,
    $false,
    inference(rat,[],[s101,s104,s103]) ).

fof(f65788,plain,
    $false,
    inference(avatar_sat_refutation,[],[s105]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : PRO001+4 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05  % Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.11/0.38  % Computer : n007.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 22:14:10 UTC 2026
% 0.11/0.38  % CPUTime  : 
% 0.11/0.38  Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.11/0.41  Running first-order model finding
% 0.11/0.41  Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 16.20/2.71  % (1828524)Will run a generic schedule for satisfiability detection.
% 16.20/2.71  % (1828532)dis+10_1_sil=32000:sp=arity:random_seed=3333110123:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 16.20/2.71  % (1828530)% WARNING: option uhcvi not known.
% 16.20/2.71  % (1828529)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=2612887324_2999 on theBenchmark for (2999ds/0Mi)
% 16.20/2.71  % (1828530)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=799921547:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 16.20/2.71  % (1828531)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=1544174651:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 16.20/2.71  % (1828533)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=461430441:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 16.20/2.71  % (1828534)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=3171733967:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 16.20/2.71  % (1828535)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=159026581:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 16.20/2.71  % Detected minimum model sizes of [4]
% 16.20/2.71  % Detected maximum model sizes of [max]
% 16.20/2.71  % TRYING [4]
% 16.20/2.71  % (1828532)Instruction limit reached! 
% 16.20/2.71  % (1828532)------------------------------
% 16.20/2.71  % (1828532)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.20/2.71  % (1828532)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.20/2.71  % (1828532)CaDiCaL version: 2.1.3
% 16.20/2.71  % (1828532)Termination reason: Instruction limit
% 16.20/2.71  % (1828532)Termination phase: Saturation
% 16.20/2.71  % (1828532)Time elapsed: 0.039 s
% 16.20/2.71  % (1828532)Peak memory usage: 12 MB
% 16.20/2.71  % (1828532)Instructions burned: 106 (million)
% 16.20/2.71  % (1828543)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=380709793:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 16.20/2.71  % Detected minimum model sizes of [4]
% 16.20/2.71  % Detected maximum model sizes of [max]
% 16.20/2.71  % TRYING [4]
% 16.20/2.71  % (1828533)Instruction limit reached! 
% 16.20/2.71  % (1828533)------------------------------
% 16.20/2.71  % (1828533)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.20/2.71  % (1828533)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.20/2.71  % (1828533)CaDiCaL version: 2.1.3
% 16.20/2.71  % (1828533)Termination reason: Instruction limit
% 16.20/2.71  % (1828533)Termination phase: Saturation
% 16.20/2.71  % (1828533)Time elapsed: 0.074 s
% 16.20/2.71  % (1828533)Peak memory usage: 12 MB
% 16.20/2.71  % (1828533)Instructions burned: 116 (million)
% 16.20/2.71  % TRYING [5]
% 16.20/2.71  % (1828534)Instruction limit reached! 
% 16.20/2.71  % (1828534)------------------------------
% 16.20/2.71  % (1828534)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.20/2.71  % (1828534)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.20/2.71  % (1828534)CaDiCaL version: 2.1.3
% 16.20/2.71  % (1828534)Termination reason: Instruction limit
% 16.20/2.71  % (1828534)Termination phase: Saturation
% 16.20/2.71  % (1828534)Time elapsed: 0.091 s
% 16.20/2.71  % (1828534)Peak memory usage: 13 MB
% 16.20/2.71  % (1828534)Instructions burned: 131 (million)
% 16.20/2.71  % (1828545)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=3113525190:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 16.20/2.71  % TRYING [5]
% 16.20/2.71  % (1828546)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=1110046855:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 16.20/2.71  % (1828535)Instruction limit reached! 
% 16.20/2.71  % (1828535)------------------------------
% 16.20/2.71  % (1828535)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.20/2.71  % (1828535)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.20/2.71  % (1828535)CaDiCaL version: 2.1.3
% 16.20/2.71  % (1828535)Termination reason: Instruction limit
% 16.20/2.71  % (1828535)Termination phase: Saturation
% 16.20/2.71  % (1828535)Time elapsed: 0.113 s
% 16.20/2.71  % (1828535)Peak memory usage: 13 MB
% 16.20/2.71  % (1828535)Instructions burned: 160 (million)
% 16.20/2.71  % (1828549)ott-21_1_sil=16000:fs=off:random_seed=2551022734:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 16.20/2.71  % (1828545)Instruction limit reached! 
% 16.20/2.71  % (1828545)------------------------------
% 30.45/4.96  % (1828545)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 30.45/4.96  % (1828545)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 30.45/4.96  % (1828545)CaDiCaL version: 2.1.3
% 30.45/4.96  % (1828545)Termination reason: Instruction limit
% 30.45/4.96  % (1828545)Termination phase: Saturation
% 30.45/4.96  % (1828545)Time elapsed: 0.090 s
% 30.45/4.96  % (1828545)Peak memory usage: 13 MB
% 30.45/4.96  % (1828545)Instructions burned: 133 (million)
% 30.45/4.96  % (1828551)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=500735507:i=477:bd=all_2997 on theBenchmark for (2997ds/477Mi)
% 30.45/4.96  % (1828543)Instruction limit reached! 
% 30.45/4.96  % (1828543)------------------------------
% 30.45/4.96  % (1828543)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 30.45/4.96  % (1828543)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 30.45/4.96  % (1828543)CaDiCaL version: 2.1.3
% 30.45/4.96  % (1828543)Termination reason: Instruction limit
% 30.45/4.96  % (1828543)Termination phase: Finite model building constraint generation
% 30.45/4.96  % (1828543)Time elapsed: 0.167 s
% 30.45/4.96  % (1828543)Peak memory usage: 50 MB
% 30.45/4.96  % (1828543)Instructions burned: 715 (million)
% 30.45/4.96  % (1828553)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=497908532:fmbsr=1.3:i=865:ins=25_2997 on theBenchmark for (2997ds/865Mi)
% 30.45/4.96  % Detected minimum model sizes of [4]
% 30.45/4.96  % Detected maximum model sizes of [max]
% 30.45/4.96  % TRYING [4]
% 30.45/4.96  % (1828549)Instruction limit reached! 
% 30.45/4.96  % (1828549)------------------------------
% 30.45/4.96  % (1828549)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 30.45/4.96  % (1828549)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 30.45/4.96  % (1828549)CaDiCaL version: 2.1.3
% 30.45/4.96  % (1828549)Termination reason: Instruction limit
% 30.45/4.96  % (1828549)Termination phase: Saturation
% 30.45/4.96  % (1828549)Time elapsed: 0.100 s
% 30.45/4.96  % (1828549)Peak memory usage: 13 MB
% 30.45/4.96  % (1828549)Instructions burned: 181 (million)
% 30.45/4.96  % (1828555)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=921348934:i=1179_2997 on theBenchmark for (2997ds/1179Mi)
% 30.45/4.96  % TRYING [5]
% 30.45/4.96  % TRYING [6]
% 30.45/4.96  % (1828553)Instruction limit reached! 
% 30.45/4.96  % (1828553)------------------------------
% 30.45/4.96  % (1828553)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 30.45/4.96  % (1828553)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 30.45/4.96  % (1828553)CaDiCaL version: 2.1.3
% 30.45/4.96  % (1828553)Termination reason: Instruction limit
% 30.45/4.96  % (1828553)Termination phase: Finite model building constraint generation
% 30.45/4.96  % (1828553)Time elapsed: 0.214 s
% 30.45/4.96  % (1828553)Peak memory usage: 43 MB
% 30.45/4.96  % (1828553)Instructions burned: 867 (million)
% 30.45/4.96  % (1828557)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=2338168939:i=889:ins=1_2995 on theBenchmark for (2995ds/889Mi)
% 30.45/4.96  % (1828546)Instruction limit reached! 
% 30.45/4.96  % (1828546)------------------------------
% 30.45/4.96  % (1828546)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 30.45/4.96  % (1828546)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 30.45/4.96  % (1828546)CaDiCaL version: 2.1.3
% 30.45/4.96  % (1828546)Termination reason: Instruction limit
% 30.45/4.96  % (1828546)Termination phase: Saturation
% 30.45/4.96  % (1828546)Time elapsed: 0.390 s
% 30.45/4.96  % (1828546)Peak memory usage: 20 MB
% 30.45/4.96  % (1828546)Instructions burned: 684 (million)
% 30.45/4.96  % (1828559)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=3961507671: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)
% 30.45/4.96  % (1828551)Instruction limit reached! 
% 30.45/4.96  % (1828551)------------------------------
% 30.45/4.96  % (1828551)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 30.45/4.96  % (1828551)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 30.45/4.96  % (1828551)CaDiCaL version: 2.1.3
% 30.45/4.96  % (1828551)Termination reason: Instruction limit
% 30.45/4.96  % (1828551)Termination phase: Saturation
% 30.45/4.96  % (1828551)Time elapsed: 0.344 s
% 30.45/4.96  % (1828551)Peak memory usage: 14 MB
% 30.45/4.96  % (1828551)Instructions burned: 478 (million)
% 30.45/4.96  % (1828561)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=2348751607:i=879:kws=inv_precedence:fsr=off_2994 on theBenchmark for (2994ds/879Mi)
% 76.48/11.24  % (1828557)Instruction limit reached! 
% 76.48/11.24  % (1828557)------------------------------
% 76.48/11.24  % (1828557)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 76.48/11.24  % (1828557)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 76.48/11.24  % (1828557)CaDiCaL version: 2.1.3
% 76.48/11.24  % (1828557)Termination reason: Instruction limit
% 76.48/11.24  % (1828557)Termination phase: Finite model building constraint generation
% 76.48/11.24  % (1828557)Time elapsed: 0.238 s
% 76.48/11.24  % (1828557)Peak memory usage: 109 MB
% 76.48/11.24  % (1828557)Instructions burned: 892 (million)
% 76.48/11.24  % (1828563)fmb+10_1_sil=64000:random_seed=4276328992:i=22061:nm=2:gsp=on_2992 on theBenchmark for (2992ds/22061Mi)
% 76.48/11.24  % Detected minimum model sizes of [4]
% 76.48/11.24  % Detected maximum model sizes of [max]
% 76.48/11.24  % TRYING [4]
% 76.48/11.24  % TRYING [5]
% 76.48/11.24  % (1828559)Instruction limit reached! 
% 76.48/11.24  % (1828559)------------------------------
% 76.48/11.24  % (1828559)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 76.48/11.24  % (1828559)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 76.48/11.24  % (1828559)CaDiCaL version: 2.1.3
% 76.48/11.24  % (1828559)Termination reason: Instruction limit
% 76.48/11.24  % (1828559)Termination phase: Saturation
% 76.48/11.24  % (1828559)Time elapsed: 0.332 s
% 76.48/11.24  % (1828559)Peak memory usage: 18 MB
% 76.48/11.24  % (1828559)Instructions burned: 693 (million)
% 76.48/11.24  % (1828565)fmb+10_1_sil=16000:sas=cadical:fmbss=20:random_seed=3788426642:i=9515:nm=5_2991 on theBenchmark for (2991ds/9515Mi)
% 76.48/11.24  % Detected minimum model sizes of [4]
% 76.48/11.24  % Detected maximum model sizes of [max]
% 76.48/11.24  % TRYING [20]
% 76.48/11.24  % (1828555)Instruction limit reached! 
% 76.48/11.24  % (1828555)------------------------------
% 76.48/11.24  % (1828555)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 76.48/11.24  % (1828555)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 76.48/11.24  % (1828555)CaDiCaL version: 2.1.3
% 76.48/11.24  % (1828555)Termination reason: Instruction limit
% 76.48/11.24  % (1828555)Termination phase: Saturation
% 76.48/11.24  % (1828555)Time elapsed: 0.695 s
% 76.48/11.24  % (1828555)Peak memory usage: 24 MB
% 76.48/11.24  % (1828555)Instructions burned: 1179 (million)
% 76.48/11.24  % (1828567)fmb+10_1_sil=64000:sas=cadical:fmbss=8:random_seed=2570871009:fmbsr=1.7:i=920_2990 on theBenchmark for (2990ds/920Mi)
% 76.48/11.24  % Detected minimum model sizes of [4]
% 76.48/11.24  % Detected maximum model sizes of [max]
% 76.48/11.24  % TRYING [8]
% 76.48/11.24  % (1828561)Instruction limit reached! 
% 76.48/11.24  % (1828561)------------------------------
% 76.48/11.24  % (1828561)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 76.48/11.24  % (1828561)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 76.48/11.24  % (1828561)CaDiCaL version: 2.1.3
% 76.48/11.24  % (1828561)Termination reason: Instruction limit
% 76.48/11.24  % (1828561)Termination phase: Saturation
% 76.48/11.24  % (1828561)Time elapsed: 0.510 s
% 76.48/11.24  % (1828561)Peak memory usage: 18 MB
% 76.48/11.24  % (1828561)Instructions burned: 881 (million)
% 76.48/11.24  % (1828569)dis-4_1_sil=16000:drc=ordering:sp=const_frequency:sac=on:newcnf=on:random_seed=414811202:i=5131_2988 on theBenchmark for (2988ds/5131Mi)
% 76.48/11.24  % TRYING [6]
% 76.48/11.24  % (1828567)Instruction limit reached! 
% 76.48/11.24  % (1828567)------------------------------
% 76.48/11.24  % (1828567)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 76.48/11.24  % (1828567)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 76.48/11.24  % (1828567)CaDiCaL version: 2.1.3
% 76.48/11.24  % (1828567)Termination reason: Instruction limit
% 76.48/11.24  % (1828567)Termination phase: Finite model building constraint generation
% 76.48/11.24  % (1828567)Time elapsed: 0.310 s
% 76.48/11.24  % (1828567)Peak memory usage: 64 MB
% 76.48/11.24  % (1828567)Instructions burned: 923 (million)
% 76.48/11.24  % (1828571)ott+11_16_sil=32000:fde=unused:bsd=on:sas=cadical:sp=arity:spb=units:lsd=10:nwc=3:random_seed=967125940:i=1472:ins=7:fdi=8:gsp=on_2986 on theBenchmark for (2986ds/1472Mi)
% 76.48/11.24  % TRYING [7]
% 76.48/11.24  % (1828571)Instruction limit reached! 
% 76.48/11.24  % (1828571)------------------------------
% 76.48/11.24  % (1828571)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 76.48/11.24  % (1828571)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 76.48/11.24  % (1828571)CaDiCaL version: 2.1.3
% 76.48/11.24  % (1828571)Termination reason: Instruction limit
% 80.79/12.01  % (1828571)Termination phase: Saturation
% 80.79/12.01  % (1828571)Time elapsed: 0.951 s
% 80.79/12.01  % (1828571)Peak memory usage: 30 MB
% 80.79/12.01  % (1828571)Instructions burned: 1473 (million)
% 80.79/12.01  % (1828573)fmb+10_1_sil=16000:sas=cadical:bce=on:fmbss=77:random_seed=3289441741:i=6324_2977 on theBenchmark for (2977ds/6324Mi)
% 80.79/12.01  % Detected minimum model sizes of [4]
% 80.79/12.01  % Detected maximum model sizes of [max]
% 80.79/12.01  % (1828573)Cannot represent all propositional literals internally
% 80.79/12.01  % (1828573)Refutation not found, incomplete strategy
% 80.79/12.01  % (1828573)------------------------------
% 80.79/12.01  % (1828573)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 80.79/12.01  % (1828573)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 80.79/12.01  % (1828573)CaDiCaL version: 2.1.3
% 80.79/12.01  % (1828573)Termination reason: Refutation not found, incomplete strategy
% 80.79/12.01  % (1828573)Time elapsed: 0.006 s
% 80.79/12.01  % (1828573)Peak memory usage: 11 MB
% 80.79/12.01  % (1828573)Instructions burned: 9 (million)
% 80.79/12.01  % (1828573)------------------------------
% 80.79/12.01  % (1828573)------------------------------
% 80.79/12.01  % TRYING [7]
% 80.79/12.01  % (1828575)fmb+10_1_fmbas=function:sil=32000:sas=cadical:fmbss=16:random_seed=3152452030:fmbsr=2.30978:i=2174_2976 on theBenchmark for (2976ds/2174Mi)
% 80.79/12.01  % Detected minimum model sizes of [4]
% 80.79/12.01  % Detected maximum model sizes of [max]
% 80.79/12.01  % TRYING [16]
% 80.79/12.01  % (1828575)Instruction limit reached! 
% 80.79/12.01  % (1828575)------------------------------
% 80.79/12.01  % (1828575)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 80.79/12.01  % (1828575)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 80.79/12.01  % (1828575)CaDiCaL version: 2.1.3
% 80.79/12.01  % (1828575)Termination reason: Instruction limit
% 80.79/12.01  % (1828575)Termination phase: Finite model building constraint generation
% 80.79/12.01  % (1828575)Time elapsed: 0.762 s
% 80.79/12.01  % (1828575)Peak memory usage: 149 MB
% 80.79/12.01  % (1828575)Instructions burned: 2175 (million)
% 80.79/12.01  % (1828577)ott-2_1_sil=16000:newcnf=on:random_seed=4268114642:avsq=on:i=869:avsqr=1,16:kws=inv_arity_squared_2968 on theBenchmark for (2968ds/869Mi)
% 80.79/12.01  % (1828577)Instruction limit reached! 
% 80.79/12.01  % (1828577)------------------------------
% 80.79/12.01  % (1828577)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 80.79/12.01  % (1828577)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 80.79/12.01  % (1828577)CaDiCaL version: 2.1.3
% 80.79/12.01  % (1828577)Termination reason: Instruction limit
% 80.79/12.01  % (1828577)Termination phase: Saturation
% 80.79/12.01  % (1828577)Time elapsed: 0.536 s
% 80.79/12.01  % (1828577)Peak memory usage: 17 MB
% 80.79/12.01  % (1828577)Instructions burned: 869 (million)
% 80.79/12.01  % (1828579)ott+10_1_sil=32000:tgt=ground:random_seed=2786970000:i=5114:av=off_2963 on theBenchmark for (2963ds/5114Mi)
% 80.79/12.01  % (1828569)Instruction limit reached! 
% 80.79/12.01  % (1828569)------------------------------
% 80.79/12.01  % (1828569)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 80.79/12.01  % (1828569)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 80.79/12.01  % (1828569)CaDiCaL version: 2.1.3
% 80.79/12.01  % (1828569)Termination reason: Instruction limit
% 80.79/12.01  % (1828569)Termination phase: Saturation
% 80.79/12.01  % (1828569)Time elapsed: 2.955 s
% 80.79/12.01  % (1828569)Peak memory usage: 23 MB
% 80.79/12.01  % (1828569)Instructions burned: 5132 (million)
% 80.79/12.01  % (1828581)fmb+10_1_sil=64000:sas=cadical:bce=on:rp=on:random_seed=747296594:i=54282_2959 on theBenchmark for (2959ds/54282Mi)
% 80.79/12.01  % Detected minimum model sizes of [4]
% 80.79/12.01  % Detected maximum model sizes of [max]
% 80.79/12.01  % TRYING [4]
% 80.79/12.01  % TRYING [5]
% 80.79/12.01  % (1828565)Instruction limit reached! 
% 80.79/12.01  % (1828565)------------------------------
% 80.79/12.01  % (1828565)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 80.79/12.01  % (1828565)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 80.79/12.01  % (1828565)CaDiCaL version: 2.1.3
% 80.79/12.01  % (1828565)Termination reason: Instruction limit
% 80.79/12.01  % (1828565)Termination phase: Finite model building constraint generation
% 80.79/12.01  % (1828565)Time elapsed: 3.334 s
% 80.79/12.01  % (1828565)Peak memory usage: 514 MB
% 80.79/12.01  % (1828565)Instructions burned: 9517 (million)
% 80.79/12.01  % (1828583)dis-11_1_sil=16000:sp=reverse_frequency:alpa=true:random_seed=4217913159:i=3512:aac=none_2956 on theBenchmark for (2956ds/3512Mi)
% 80.79/12.01  % TRYING [6]
% 80.79/12.01  % TRYING [7]
% 80.79/12.01  % TRYING [8]
% 80.79/12.01  % (1828583)Instruction limit reached! 
% 80.79/12.01  % (1828583)------------------------------
% 80.79/12.01  % (1828583)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 80.79/12.01  % (1828583)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 80.79/12.01  % (1828583)CaDiCaL version: 2.1.3
% 80.79/12.01  % (1828583)Termination reason: Instruction limit
% 80.79/12.01  % (1828583)Termination phase: Saturation
% 80.79/12.01  % (1828583)Time elapsed: 2.094 s
% 80.79/12.01  % (1828583)Peak memory usage: 23 MB
% 80.79/12.01  % (1828583)Instructions burned: 3512 (million)
% 80.79/12.01  % (1828585)dis+21_1_sil=32000:sas=cadical:random_seed=663353185:i=3773:amm=off_2935 on theBenchmark for (2935ds/3773Mi)
% 80.79/12.01  % (1828579)Instruction limit reached! 
% 80.79/12.01  % (1828579)------------------------------
% 80.79/12.01  % (1828579)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 80.79/12.01  % (1828579)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 80.79/12.01  % (1828579)CaDiCaL version: 2.1.3
% 80.79/12.01  % (1828579)Termination reason: Instruction limit
% 80.79/12.01  % (1828579)Termination phase: Saturation
% 80.79/12.01  % (1828579)Time elapsed: 3.032 s
% 80.79/12.01  % (1828579)Peak memory usage: 39 MB
% 80.79/12.01  % (1828579)Instructions burned: 5115 (million)
% 80.79/12.01  % (1828587)ott+11_1_sil=16000:gs=on:random_seed=166517457:s2a=on:i=2251:s2at=3:kws=inv_arity_squared:nm=2:fsr=off:fsd=on_2932 on theBenchmark for (2932ds/2251Mi)
% 80.79/12.01  % TRYING [8]
% 80.79/12.01  % (1828563)Instruction limit reached! 
% 80.79/12.01  % (1828563)------------------------------
% 80.79/12.01  % (1828563)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 80.79/12.01  % (1828563)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 80.79/12.01  % (1828563)CaDiCaL version: 2.1.3
% 80.79/12.01  % (1828563)Termination reason: Instruction limit
% 80.79/12.01  % (1828563)Termination phase: Finite model building constraint generation
% 80.79/12.01  % (1828563)Time elapsed: 7.628 s
% 80.79/12.01  % (1828563)Peak memory usage: 483 MB
% 80.79/12.01  % (1828563)Instructions burned: 22061 (million)
% 80.79/12.01  % (1828589)fmb+10_1_fmbas=predicate:sil=64000:tgt=ground:fmbss=7:random_seed=2161173642:fmbsr=1.6:i=67534_2915 on theBenchmark for (2915ds/67534Mi)
% 80.79/12.01  % Detected minimum model sizes of [4]
% 80.79/12.01  % Detected maximum model sizes of [max]
% 80.79/12.01  % (1828587)Instruction limit reached! 
% 80.79/12.01  % (1828587)------------------------------
% 80.79/12.01  % (1828587)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 80.79/12.01  % (1828587)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 80.79/12.01  % (1828587)CaDiCaL version: 2.1.3
% 80.79/12.01  % (1828587)Termination reason: Instruction limit
% 80.79/12.01  % (1828587)Termination phase: Saturation
% 80.79/12.01  % (1828587)Time elapsed: 1.675 s
% 80.79/12.01  % (1828587)Peak memory usage: 28 MB
% 80.79/12.01  % (1828587)Instructions burned: 2252 (million)
% 80.79/12.01  % (1828591)ott-22_32_sil=16000:tgt=full:fdtod=off:sp=weighted_frequency:rnwc=on:alpa=false:random_seed=1339649945:avsq=on:i=4591:add=off:avsqr=1,16:kws=inv_arity:nm=10:ins=9:fdi=4_2915 on theBenchmark for (2915ds/4591Mi)
% 80.79/12.01  % TRYING [7]
% 80.79/12.01  % (1828585)Instruction limit reached! 
% 80.79/12.01  % (1828585)------------------------------
% 80.79/12.01  % (1828585)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 80.79/12.01  % (1828585)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 80.79/12.01  % (1828585)CaDiCaL version: 2.1.3
% 80.79/12.01  % (1828585)Termination reason: Instruction limit
% 80.79/12.01  % (1828585)Termination phase: Saturation
% 80.79/12.01  % (1828585)Time elapsed: 2.337 s
% 80.79/12.01  % (1828585)Peak memory usage: 29 MB
% 80.79/12.01  % (1828585)Instructions burned: 3774 (million)
% 80.79/12.01  % (1828593)dis+10_64_to=lpo:sil=32000:spb=intro:urr=on:sac=on:random_seed=1796885392:i=29340_2912 on theBenchmark for (2912ds/29340Mi)
% 80.79/12.01  % (1828591)Instruction limit reached! 
% 80.79/12.01  % (1828591)------------------------------
% 80.79/12.01  % (1828591)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 80.79/12.01  % (1828591)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 80.79/12.01  % (1828591)CaDiCaL version: 2.1.3
% 80.79/12.01  % (1828591)Termination reason: Instruction limit
% 80.79/12.01  % (1828591)Termination phase: Saturation
% 80.79/12.01  % (1828591)Time elapsed: 2.331 s
% 80.79/12.01  % (1828591)Peak memory usage: 35 MB
% 80.79/12.01  % (1828591)Instructions burned: 4592 (million)
% 80.79/12.01  % (1828596)dis-10_1_sil=64000:sas=cadical:cn=on:random_seed=4264889238:i=5211_2892 on theBenchmark for (2892ds/5211Mi)
% 80.79/12.01  % TRYING [8]
% 80.79/12.01  % (1828593) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-1828524-1828593"...
% 80.79/12.01  % (1828593)...printing done.
% 80.79/12.01  % (1828593)Refutation found. Thanks to Tanya!
% 80.79/12.01  % SZS status Theorem for theBenchmark
% 80.79/12.01  % SZS output start Proof for theBenchmark
% See solution above
% 80.79/12.02  % (1828593)------------------------------
% 80.79/12.02  % (1828593)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 80.79/12.02  % (1828593)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 80.79/12.02  % (1828593)CaDiCaL version: 2.1.3
% 80.79/12.02  % (1828593)Termination reason: Refutation
% 80.79/12.02  % (1828593)Time elapsed: 2.671 s
% 80.79/12.02  % (1828593)Peak memory usage: 39 MB
% 80.79/12.02  % (1828593)Instructions burned: 4713 (million)
% 80.79/12.02  % (1828524)Success in time 11.595 s
% 80.79/12.02  % Vampire exiting
%------------------------------------------------------------------------------