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Vampire---5.0.1.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Vampire---5.0.1
% Problem  : PRO004+1 : TPTP v9.3.1. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM

% Computer : n006.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 12:30:21 PM UTC 2026

% Result   : Theorem 8.66s 2.22s
% Output   : Refutation 10.36s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   24
%            Number of leaves      :   31
% Syntax   : Number of formulae    :  241 (  28 unt;  12 def)
%            Number of atoms       :  725 (  46 equ)
%            Maximal formula atoms :    8 (   3 avg)
%            Number of connectives :  808 ( 324   ~; 388   |;  64   &)
%                                         (  18 <=>;  14  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   13 (   5 avg)
%            Maximal term depth    :    6 (   2 avg)
%            Number of predicates  :   26 (  24 usr;  13 prp; 0-3 aty)
%            Number of functors    :   13 (  13 usr;   5 con; 0-3 aty)
%            Number of variables   :  236 (   0 sgn 209   !;  27   ?)

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

fof(f15,axiom,
    ! [X0,X1,X2] :
      ( min_precedes(X0,X1,X2)
     => ~ root(X1,X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_14) ).

fof(f22,axiom,
    ! [X0,X1] :
      ( leaf(X0,X1)
    <=> ( ( root(X0,X1)
          | ? [X2] : min_precedes(X2,X0,X1) )
        & ~ ? [X3] : min_precedes(X0,X3,X1) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_21) ).

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

fof(f34,axiom,
    ! [X0,X1] :
      ( root_occ(X0,X1)
    <=> ? [X2] :
          ( occurrence_of(X1,X2)
          & subactivity_occurrence(X0,X1)
          & root(X0,X2) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_33) ).

fof(f35,axiom,
    ! [X0,X1] :
      ( leaf_occ(X0,X1)
    <=> ? [X2] :
          ( occurrence_of(X1,X2)
          & subactivity_occurrence(X0,X1)
          & leaf(X0,X2) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_34) ).

fof(f36,axiom,
    ! [X0] :
      ( occurrence_of(X0,tptp0)
     => ? [X1,X2] :
          ( occurrence_of(X1,tptp4)
          & root_occ(X1,X0)
          & occurrence_of(X2,tptp3)
          & leaf_occ(X2,X0)
          & next_subocc(X1,X2,tptp0) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_35) ).

fof(f39,axiom,
    atomic(tptp4),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_38) ).

fof(f40,axiom,
    atomic(tptp3),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_39) ).

fof(f42,axiom,
    atomic(tptp1),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_41) ).

fof(f46,axiom,
    tptp1 != tptp3,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_45) ).

fof(f50,axiom,
    ! [X0,X1] :
      ( ( occurrence_of(X1,tptp0)
        & subactivity_occurrence(X0,X1)
        & arboreal(X0)
        & ~ leaf_occ(X0,X1) )
     => root_occ(X0,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_49) ).

fof(f51,axiom,
    ! [X0,X1] :
      ( ( occurrence_of(X1,tptp0)
        & subactivity_occurrence(X0,X1)
        & arboreal(X0)
        & ~ leaf_occ(X0,X1) )
     => ? [X2] :
          ( occurrence_of(X2,tptp1)
          & next_subocc(X0,X2,tptp0) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_50) ).

fof(f52,conjecture,
    ~ ? [X0] : occurrence_of(X0,tptp0),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goals) ).

fof(f53,negated_conjecture,
    ~ ~ ? [X0] : occurrence_of(X0,tptp0),
    inference(negated_conjecture,[status(cth)],[f52]) ).

fof(f54,plain,
    ? [X0] : occurrence_of(X0,tptp0),
    inference(flattening,[],[f53]) ).

fof(f55,plain,
    ! [X0,X1] :
      ( leaf_occ(X0,X1)
     => ? [X2] :
          ( occurrence_of(X1,X2)
          & subactivity_occurrence(X0,X1)
          & leaf(X0,X2) ) ),
    inference(unused_predicate_definition_removal,[],[f35]) ).

fof(f56,plain,
    ! [X0,X1] :
      ( leaf(X0,X1)
     => ( ( root(X0,X1)
          | ? [X2] : min_precedes(X2,X0,X1) )
        & ~ ? [X3] : min_precedes(X0,X3,X1) ) ),
    inference(unused_predicate_definition_removal,[],[f22]) ).

fof(f57,plain,
    ! [X0,X1] :
      ( root_occ(X0,X1)
     => ? [X2] :
          ( occurrence_of(X1,X2)
          & subactivity_occurrence(X0,X1)
          & root(X0,X2) ) ),
    inference(unused_predicate_definition_removal,[],[f34]) ).

fof(f58,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(unused_predicate_definition_removal,[],[f23]) ).

fof(f59,plain,
    ! [X0,X1] :
      ( ( activity(X0)
        & activity_occurrence(X1) )
      | ~ occurrence_of(X1,X0) ),
    inference(ennf_transformation,[],[f1]) ).

fof(f60,plain,
    ! [X0] :
      ( ? [X1] :
          ( activity(X1)
          & occurrence_of(X0,X1) )
      | ~ activity_occurrence(X0) ),
    inference(ennf_transformation,[],[f2]) ).

fof(f61,plain,
    ! [X0,X1,X2] :
      ( X1 = X2
      | ~ occurrence_of(X0,X1)
      | ~ occurrence_of(X0,X2) ),
    inference(ennf_transformation,[],[f3]) ).

fof(f62,plain,
    ! [X0,X1,X2] :
      ( X1 = X2
      | ~ occurrence_of(X0,X1)
      | ~ occurrence_of(X0,X2) ),
    inference(flattening,[],[f61]) ).

fof(f69,plain,
    ! [X0,X1] :
      ( ( arboreal(X0)
      <=> atomic(X1) )
      | ~ occurrence_of(X0,X1) ),
    inference(ennf_transformation,[],[f8]) ).

fof(f76,plain,
    ! [X0,X1,X2] :
      ( ~ root(X1,X2)
      | ~ min_precedes(X0,X1,X2) ),
    inference(ennf_transformation,[],[f15]) ).

fof(f86,plain,
    ! [X0,X1] :
      ( ( ( root(X0,X1)
          | ? [X2] : min_precedes(X2,X0,X1) )
        & ! [X3] : ~ min_precedes(X0,X3,X1) )
      | ~ leaf(X0,X1) ),
    inference(ennf_transformation,[],[f56]) ).

fof(f87,plain,
    ! [X0,X1,X2] :
      ( ( min_precedes(X0,X1,X2)
        & ! [X3] :
            ( ~ min_precedes(X0,X3,X2)
            | ~ min_precedes(X3,X1,X2) ) )
      | ~ next_subocc(X0,X1,X2) ),
    inference(ennf_transformation,[],[f58]) ).

fof(f89,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(f94,plain,
    ! [X0,X1,X2,X3] :
      ( min_precedes(X2,X3,X0)
      | min_precedes(X3,X2,X0)
      | X2 = X3
      | ~ occurrence_of(X1,X0)
      | ~ arboreal(X2)
      | ~ arboreal(X3)
      | ~ subactivity_occurrence(X2,X1)
      | ~ subactivity_occurrence(X3,X1) ),
    inference(ennf_transformation,[],[f29]) ).

fof(f95,plain,
    ! [X0,X1,X2,X3] :
      ( min_precedes(X2,X3,X0)
      | min_precedes(X3,X2,X0)
      | X2 = X3
      | ~ occurrence_of(X1,X0)
      | ~ arboreal(X2)
      | ~ arboreal(X3)
      | ~ subactivity_occurrence(X2,X1)
      | ~ subactivity_occurrence(X3,X1) ),
    inference(flattening,[],[f94]) ).

fof(f104,plain,
    ! [X0,X1] :
      ( ? [X2] :
          ( occurrence_of(X1,X2)
          & subactivity_occurrence(X0,X1)
          & root(X0,X2) )
      | ~ root_occ(X0,X1) ),
    inference(ennf_transformation,[],[f57]) ).

fof(f105,plain,
    ! [X0,X1] :
      ( ? [X2] :
          ( occurrence_of(X1,X2)
          & subactivity_occurrence(X0,X1)
          & leaf(X0,X2) )
      | ~ leaf_occ(X0,X1) ),
    inference(ennf_transformation,[],[f55]) ).

fof(f106,plain,
    ! [X0] :
      ( ? [X1,X2] :
          ( occurrence_of(X1,tptp4)
          & root_occ(X1,X0)
          & occurrence_of(X2,tptp3)
          & leaf_occ(X2,X0)
          & next_subocc(X1,X2,tptp0) )
      | ~ occurrence_of(X0,tptp0) ),
    inference(ennf_transformation,[],[f36]) ).

fof(f109,plain,
    ! [X0,X1] :
      ( root_occ(X0,X1)
      | ~ occurrence_of(X1,tptp0)
      | ~ subactivity_occurrence(X0,X1)
      | ~ arboreal(X0)
      | leaf_occ(X0,X1) ),
    inference(ennf_transformation,[],[f50]) ).

fof(f110,plain,
    ! [X0,X1] :
      ( root_occ(X0,X1)
      | ~ occurrence_of(X1,tptp0)
      | ~ subactivity_occurrence(X0,X1)
      | ~ arboreal(X0)
      | leaf_occ(X0,X1) ),
    inference(flattening,[],[f109]) ).

fof(f111,plain,
    ! [X0,X1] :
      ( ? [X2] :
          ( occurrence_of(X2,tptp1)
          & next_subocc(X0,X2,tptp0) )
      | ~ occurrence_of(X1,tptp0)
      | ~ subactivity_occurrence(X0,X1)
      | ~ arboreal(X0)
      | leaf_occ(X0,X1) ),
    inference(ennf_transformation,[],[f51]) ).

fof(f112,plain,
    ! [X0,X1] :
      ( ? [X2] :
          ( occurrence_of(X2,tptp1)
          & next_subocc(X0,X2,tptp0) )
      | ~ occurrence_of(X1,tptp0)
      | ~ subactivity_occurrence(X0,X1)
      | ~ arboreal(X0)
      | leaf_occ(X0,X1) ),
    inference(flattening,[],[f111]) ).

fof(f113,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))],[f60]) ).

fof(f114,plain,
    ! [X0,X1] :
      ( ( ( arboreal(X0)
          | ~ atomic(X1) )
        & ( atomic(X1)
          | ~ arboreal(X0) ) )
      | ~ occurrence_of(X0,X1) ),
    inference(nnf_transformation,[],[f69]) ).

fof(f120,plain,
    ! [X0,X1] :
      ( ( ( root(X0,X1)
          | min_precedes(sK5(X0,X1),X0,X1) )
        & ! [X3] : ~ min_precedes(X0,X3,X1) )
      | ~ leaf(X0,X1) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK5]),skolemize(X2,sK5(X0,X1))],[f86]) ).

fof(f124,plain,
    ! [X0,X1,X2] :
      ( ( occurrence_of(sK7(X0,X1,X2),X0)
        & subactivity_occurrence(X1,sK7(X0,X1,X2))
        & subactivity_occurrence(X2,sK7(X0,X1,X2)) )
      | ~ min_precedes(X1,X2,X0) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK7]),skolemize(X3,sK7(X0,X1,X2))],[f89]) ).

fof(f128,plain,
    ! [X0,X1] :
      ( ( occurrence_of(X1,sK11(X0,X1))
        & subactivity_occurrence(X0,X1)
        & root(X0,sK11(X0,X1)) )
      | ~ root_occ(X0,X1) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK11]),skolemize(X2,sK11(X0,X1))],[f104]) ).

fof(f129,plain,
    ! [X0,X1] :
      ( ( occurrence_of(X1,sK12(X0,X1))
        & subactivity_occurrence(X0,X1)
        & leaf(X0,sK12(X0,X1)) )
      | ~ leaf_occ(X0,X1) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK12]),skolemize(X2,sK12(X0,X1))],[f105]) ).

fof(f130,plain,
    ! [X0] :
      ( ( occurrence_of(sK13(X0),tptp4)
        & root_occ(sK13(X0),X0)
        & occurrence_of(sK14(X0),tptp3)
        & leaf_occ(sK14(X0),X0)
        & next_subocc(sK13(X0),sK14(X0),tptp0) )
      | ~ occurrence_of(X0,tptp0) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK13,sK14]),skolemize(X1,sK13(X0)),skolemize(X2,sK14(X0))],[f106]) ).

fof(f131,plain,
    ! [X0,X1] :
      ( ( occurrence_of(sK15(X0),tptp1)
        & next_subocc(X0,sK15(X0),tptp0) )
      | ~ occurrence_of(X1,tptp0)
      | ~ subactivity_occurrence(X0,X1)
      | ~ arboreal(X0)
      | leaf_occ(X0,X1) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK15]),skolemize(X2,sK15(X0))],[f112]) ).

fof(f132,plain,
    occurrence_of(sK16,tptp0),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK16]),skolemize(X0,sK16)],[f54]) ).

fof(f133,plain,
    ! [X0,X1] :
      ( ~ occurrence_of(X1,X0)
      | activity_occurrence(X1) ),
    inference(cnf_transformation,[],[f59]) ).

fof(f135,plain,
    ! [X0] :
      ( occurrence_of(X0,sK0(X0))
      | ~ activity_occurrence(X0) ),
    inference(cnf_transformation,[],[f113]) ).

fof(f137,plain,
    ! [X2,X0,X1] :
      ( ~ occurrence_of(X0,X2)
      | ~ occurrence_of(X0,X1)
      | X1 = X2 ),
    inference(cnf_transformation,[],[f62]) ).

fof(f143,plain,
    ! [X0,X1] :
      ( ~ occurrence_of(X0,X1)
      | ~ atomic(X1)
      | arboreal(X0) ),
    inference(cnf_transformation,[],[f114]) ).

fof(f157,plain,
    ! [X2,X0,X1] :
      ( ~ min_precedes(X0,X1,X2)
      | ~ root(X1,X2) ),
    inference(cnf_transformation,[],[f76]) ).

fof(f164,plain,
    ! [X3,X0,X1] :
      ( ~ min_precedes(X0,X3,X1)
      | ~ leaf(X0,X1) ),
    inference(cnf_transformation,[],[f120]) ).

fof(f167,plain,
    ! [X2,X0,X1] :
      ( ~ next_subocc(X0,X1,X2)
      | min_precedes(X0,X1,X2) ),
    inference(cnf_transformation,[],[f87]) ).

fof(f174,plain,
    ! [X2,X0,X1] :
      ( subactivity_occurrence(X2,sK7(X0,X1,X2))
      | ~ min_precedes(X1,X2,X0) ),
    inference(cnf_transformation,[],[f124]) ).

fof(f176,plain,
    ! [X2,X0,X1] :
      ( occurrence_of(sK7(X0,X1,X2),X0)
      | ~ min_precedes(X1,X2,X0) ),
    inference(cnf_transformation,[],[f124]) ).

fof(f181,plain,
    ! [X2,X3,X0,X1] :
      ( ~ subactivity_occurrence(X3,X1)
      | min_precedes(X3,X2,X0)
      | X2 = X3
      | ~ occurrence_of(X1,X0)
      | ~ arboreal(X2)
      | ~ arboreal(X3)
      | ~ subactivity_occurrence(X2,X1)
      | min_precedes(X2,X3,X0) ),
    inference(cnf_transformation,[],[f95]) ).

fof(f187,plain,
    ! [X0,X1] :
      ( root(X0,sK11(X0,X1))
      | ~ root_occ(X0,X1) ),
    inference(cnf_transformation,[],[f128]) ).

fof(f188,plain,
    ! [X0,X1] :
      ( ~ root_occ(X0,X1)
      | subactivity_occurrence(X0,X1) ),
    inference(cnf_transformation,[],[f128]) ).

fof(f189,plain,
    ! [X0,X1] :
      ( occurrence_of(X1,sK11(X0,X1))
      | ~ root_occ(X0,X1) ),
    inference(cnf_transformation,[],[f128]) ).

fof(f190,plain,
    ! [X0,X1] :
      ( leaf(X0,sK12(X0,X1))
      | ~ leaf_occ(X0,X1) ),
    inference(cnf_transformation,[],[f129]) ).

fof(f191,plain,
    ! [X0,X1] :
      ( ~ leaf_occ(X0,X1)
      | subactivity_occurrence(X0,X1) ),
    inference(cnf_transformation,[],[f129]) ).

fof(f192,plain,
    ! [X0,X1] :
      ( occurrence_of(X1,sK12(X0,X1))
      | ~ leaf_occ(X0,X1) ),
    inference(cnf_transformation,[],[f129]) ).

fof(f193,plain,
    ! [X0] :
      ( next_subocc(sK13(X0),sK14(X0),tptp0)
      | ~ occurrence_of(X0,tptp0) ),
    inference(cnf_transformation,[],[f130]) ).

fof(f194,plain,
    ! [X0] :
      ( leaf_occ(sK14(X0),X0)
      | ~ occurrence_of(X0,tptp0) ),
    inference(cnf_transformation,[],[f130]) ).

fof(f195,plain,
    ! [X0] :
      ( occurrence_of(sK14(X0),tptp3)
      | ~ occurrence_of(X0,tptp0) ),
    inference(cnf_transformation,[],[f130]) ).

fof(f196,plain,
    ! [X0] :
      ( root_occ(sK13(X0),X0)
      | ~ occurrence_of(X0,tptp0) ),
    inference(cnf_transformation,[],[f130]) ).

fof(f197,plain,
    ! [X0] :
      ( occurrence_of(sK13(X0),tptp4)
      | ~ occurrence_of(X0,tptp0) ),
    inference(cnf_transformation,[],[f130]) ).

fof(f200,plain,
    atomic(tptp4),
    inference(cnf_transformation,[],[f39]) ).

fof(f201,plain,
    atomic(tptp3),
    inference(cnf_transformation,[],[f40]) ).

fof(f203,plain,
    atomic(tptp1),
    inference(cnf_transformation,[],[f42]) ).

fof(f207,plain,
    tptp3 != tptp1,
    inference(cnf_transformation,[],[f46]) ).

fof(f211,plain,
    ! [X0,X1] :
      ( ~ subactivity_occurrence(X0,X1)
      | ~ occurrence_of(X1,tptp0)
      | root_occ(X0,X1)
      | ~ arboreal(X0)
      | leaf_occ(X0,X1) ),
    inference(cnf_transformation,[],[f110]) ).

fof(f212,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,[],[f131]) ).

fof(f213,plain,
    ! [X0,X1] :
      ( ~ subactivity_occurrence(X0,X1)
      | ~ occurrence_of(X1,tptp0)
      | occurrence_of(sK15(X0),tptp1)
      | ~ arboreal(X0)
      | leaf_occ(X0,X1) ),
    inference(cnf_transformation,[],[f131]) ).

fof(f214,plain,
    occurrence_of(sK16,tptp0),
    inference(cnf_transformation,[],[f132]) ).

fof(f215,plain,
    ! [X0] :
      ( ~ occurrence_of(sK16,X0)
      | tptp0 = X0 ),
    inference(resolution,[],[f137,f214]) ).

fof(f221,plain,
    ! [X0] :
      ( ~ occurrence_of(X0,tptp0)
      | ~ atomic(tptp4)
      | arboreal(sK13(X0)) ),
    inference(resolution,[],[f197,f143]) ).

fof(f223,plain,
    ! [X0] :
      ( ~ occurrence_of(X0,tptp0)
      | arboreal(sK13(X0)) ),
    inference(forward_subsumption_resolution,[],[f221,f200]) ).

fof(f225,plain,
    ! [X0] :
      ( ~ occurrence_of(X0,tptp0)
      | ~ atomic(tptp3)
      | arboreal(sK14(X0)) ),
    inference(resolution,[],[f195,f143]) ).

fof(f227,plain,
    ! [X0] :
      ( ~ occurrence_of(X0,tptp0)
      | arboreal(sK14(X0)) ),
    inference(forward_subsumption_resolution,[],[f225,f201]) ).

fof(f230,plain,
    ! [X2,X0,X1] :
      ( ~ occurrence_of(sK7(X2,X0,X1),tptp0)
      | ~ min_precedes(X0,X1,X2)
      | root_occ(X1,sK7(X2,X0,X1))
      | ~ arboreal(X1)
      | leaf_occ(X1,sK7(X2,X0,X1)) ),
    inference(resolution,[],[f174,f211]) ).

fof(f243,plain,
    ! [X0] :
      ( ~ leaf_occ(X0,sK16)
      | tptp0 = sK12(X0,sK16) ),
    inference(resolution,[],[f192,f215]) ).

fof(f249,plain,
    ! [X0] :
      ( subactivity_occurrence(sK14(X0),X0)
      | ~ occurrence_of(X0,tptp0) ),
    inference(resolution,[],[f191,f194]) ).

fof(f250,plain,
    ! [X2,X0,X1] :
      ( ~ occurrence_of(X0,tptp0)
      | min_precedes(sK14(X0),X1,X2)
      | sK14(X0) = X1
      | ~ occurrence_of(X0,X2)
      | ~ arboreal(X1)
      | ~ arboreal(sK14(X0))
      | ~ subactivity_occurrence(X1,X0)
      | min_precedes(X1,sK14(X0),X2) ),
    inference(resolution,[],[f249,f181]) ).

fof(f260,plain,
    ! [X2,X0,X1] :
      ( min_precedes(sK14(X0),X1,X2)
      | min_precedes(X1,sK14(X0),X2)
      | sK14(X0) = X1
      | ~ occurrence_of(X0,X2)
      | ~ arboreal(X1)
      | ~ subactivity_occurrence(X1,X0)
      | ~ occurrence_of(X0,tptp0) ),
    inference(forward_subsumption_resolution,[],[f250,f227]) ).

fof(f267,plain,
    ! [X0] :
      ( subactivity_occurrence(sK13(X0),X0)
      | ~ occurrence_of(X0,tptp0) ),
    inference(resolution,[],[f188,f196]) ).

fof(f269,plain,
    ! [X0] :
      ( ~ occurrence_of(X0,tptp0)
      | ~ occurrence_of(X0,tptp0)
      | next_subocc(sK13(X0),sK15(sK13(X0)),tptp0)
      | ~ arboreal(sK13(X0))
      | leaf_occ(sK13(X0),X0) ),
    inference(resolution,[],[f267,f212]) ).

fof(f271,plain,
    ! [X0] :
      ( ~ occurrence_of(X0,tptp0)
      | ~ occurrence_of(X0,tptp0)
      | occurrence_of(sK15(sK13(X0)),tptp1)
      | ~ arboreal(sK13(X0))
      | leaf_occ(sK13(X0),X0) ),
    inference(resolution,[],[f267,f213]) ).

fof(f272,plain,
    ! [X0] :
      ( ~ occurrence_of(X0,tptp0)
      | occurrence_of(sK15(sK13(X0)),tptp1)
      | ~ arboreal(sK13(X0))
      | leaf_occ(sK13(X0),X0) ),
    inference(duplicate_literal_removal,[],[f271]) ).

fof(f274,plain,
    ! [X0] :
      ( ~ occurrence_of(X0,tptp0)
      | next_subocc(sK13(X0),sK15(sK13(X0)),tptp0)
      | ~ arboreal(sK13(X0))
      | leaf_occ(sK13(X0),X0) ),
    inference(duplicate_literal_removal,[],[f269]) ).

fof(f275,plain,
    ! [X0] :
      ( occurrence_of(sK15(sK13(X0)),tptp1)
      | leaf_occ(sK13(X0),X0)
      | ~ occurrence_of(X0,tptp0) ),
    inference(forward_subsumption_resolution,[],[f272,f223]) ).

fof(f277,plain,
    ! [X0] :
      ( next_subocc(sK13(X0),sK15(sK13(X0)),tptp0)
      | ~ occurrence_of(X0,tptp0)
      | leaf_occ(sK13(X0),X0) ),
    inference(forward_subsumption_resolution,[],[f274,f223]) ).

fof(f281,plain,
    ! [X0] :
      ( leaf_occ(sK13(X0),X0)
      | ~ occurrence_of(X0,tptp0)
      | ~ atomic(tptp1)
      | arboreal(sK15(sK13(X0))) ),
    inference(resolution,[],[f275,f143]) ).

fof(f282,plain,
    ! [X0,X1] :
      ( ~ occurrence_of(sK15(sK13(X0)),X1)
      | ~ occurrence_of(X0,tptp0)
      | leaf_occ(sK13(X0),X0)
      | tptp1 = X1 ),
    inference(resolution,[],[f275,f137]) ).

fof(f285,plain,
    ! [X0] :
      ( leaf_occ(sK13(X0),X0)
      | ~ occurrence_of(X0,tptp0)
      | arboreal(sK15(sK13(X0))) ),
    inference(forward_subsumption_resolution,[],[f281,f203]) ).

fof(f341,plain,
    ! [X2,X3,X0,X1] :
      ( ~ occurrence_of(sK7(X2,X0,X1),X3)
      | ~ min_precedes(X0,X1,X2)
      | X2 = X3 ),
    inference(resolution,[],[f176,f137]) ).

fof(f352,plain,
    ! [X0,X1] :
      ( ~ min_precedes(X0,X1,tptp0)
      | root_occ(X1,sK7(tptp0,X0,X1))
      | ~ arboreal(X1)
      | leaf_occ(X1,sK7(tptp0,X0,X1))
      | ~ min_precedes(X0,X1,tptp0) ),
    inference(resolution,[],[f230,f176]) ).

fof(f353,plain,
    ! [X0,X1] :
      ( root_occ(X1,sK7(tptp0,X0,X1))
      | ~ min_precedes(X0,X1,tptp0)
      | ~ arboreal(X1)
      | leaf_occ(X1,sK7(tptp0,X0,X1)) ),
    inference(duplicate_literal_removal,[],[f352]) ).

fof(f472,definition,
    ( spl17_12
  <=> leaf_occ(sK13(sK16),sK16) ),
    introduced(definition,[new_symbols(definition,[spl17_12])],[avatar_definition]) ).

fof(f473,plain,
    ( leaf_occ(sK13(sK16),sK16)
    | ~ spl17_12 ),
    inference(avatar_component_clause,[],[f472]) ).

fof(f474,plain,
    ( ~ leaf_occ(sK13(sK16),sK16)
    | spl17_12 ),
    inference(avatar_component_clause,[],[f472]) ).

fof(f476,definition,
    ( spl17_13
  <=> leaf(sK13(sK16),tptp0) ),
    introduced(definition,[new_symbols(definition,[spl17_13])],[avatar_definition]) ).

fof(f477,plain,
    ( ~ leaf(sK13(sK16),tptp0)
    | spl17_13 ),
    inference(avatar_component_clause,[],[f476]) ).

fof(f478,plain,
    ( leaf(sK13(sK16),tptp0)
    | ~ spl17_13 ),
    inference(avatar_component_clause,[],[f476]) ).

fof(f483,plain,
    ( tptp0 = sK12(sK13(sK16),sK16)
    | ~ spl17_12 ),
    inference(resolution,[],[f473,f243]) ).

fof(f535,plain,
    ! [X0,X1] :
      ( ~ activity_occurrence(X0)
      | ~ occurrence_of(X0,X1)
      | sK0(X0) = X1 ),
    inference(resolution,[],[f135,f137]) ).

fof(f551,plain,
    ! [X0,X1] :
      ( ~ occurrence_of(X0,X1)
      | sK0(X0) = X1 ),
    inference(forward_subsumption_resolution,[],[f535,f133]) ).

fof(f555,plain,
    ! [X0,X1] :
      ( ~ leaf_occ(X1,X0)
      | sK0(X0) = sK12(X1,X0) ),
    inference(resolution,[],[f551,f192]) ).

fof(f558,plain,
    ! [X2,X0,X1] :
      ( ~ min_precedes(X1,X2,X0)
      | sK0(sK7(X0,X1,X2)) = X0 ),
    inference(resolution,[],[f551,f176]) ).

fof(f572,plain,
    ! [X0] :
      ( ~ occurrence_of(X0,tptp0)
      | sK0(X0) = sK12(sK14(X0),X0) ),
    inference(resolution,[],[f555,f194]) ).

fof(f645,plain,
    ! [X2,X3,X0,X1] :
      ( ~ root_occ(X3,sK7(X2,X0,X1))
      | sK11(X3,sK7(X2,X0,X1)) = X2
      | ~ min_precedes(X0,X1,X2) ),
    inference(resolution,[],[f341,f189]) ).

fof(f675,plain,
    ! [X0,X1] :
      ( tptp0 = sK11(X0,sK7(tptp0,X1,X0))
      | ~ min_precedes(X1,X0,tptp0)
      | ~ min_precedes(X1,X0,tptp0)
      | ~ arboreal(X0)
      | leaf_occ(X0,sK7(tptp0,X1,X0)) ),
    inference(resolution,[],[f645,f353]) ).

fof(f678,plain,
    ! [X0,X1] :
      ( leaf_occ(X0,sK7(tptp0,X1,X0))
      | ~ min_precedes(X1,X0,tptp0)
      | ~ arboreal(X0)
      | tptp0 = sK11(X0,sK7(tptp0,X1,X0)) ),
    inference(duplicate_literal_removal,[],[f675]) ).

fof(f761,plain,
    ! [X0] :
      ( min_precedes(sK13(X0),sK14(X0),tptp0)
      | ~ occurrence_of(X0,tptp0) ),
    inference(resolution,[],[f167,f193]) ).

fof(f762,plain,
    ! [X0] :
      ( min_precedes(sK13(X0),sK15(sK13(X0)),tptp0)
      | ~ occurrence_of(X0,tptp0)
      | leaf_occ(sK13(X0),X0) ),
    inference(resolution,[],[f167,f277]) ).

fof(f769,plain,
    ! [X0] :
      ( ~ leaf(sK13(X0),tptp0)
      | ~ occurrence_of(X0,tptp0) ),
    inference(resolution,[],[f761,f164]) ).

fof(f843,plain,
    ( ~ occurrence_of(sK16,tptp0)
    | ~ spl17_13 ),
    inference(resolution,[],[f769,f478]) ).

fof(f844,plain,
    ( $false
    | ~ spl17_13 ),
    inference(forward_subsumption_resolution,[],[f843,f214]) ).

fof(f845,plain,
    ~ spl17_13,
    inference(avatar_contradiction_clause,[],[f844]) ).

fof(f847,plain,
    ( leaf(sK13(sK16),tptp0)
    | ~ leaf_occ(sK13(sK16),sK16)
    | ~ spl17_12 ),
    inference(superposition,[],[f190,f483]) ).

fof(f849,plain,
    ( ~ leaf_occ(sK13(sK16),sK16)
    | ~ spl17_12
    | spl17_13 ),
    inference(forward_subsumption_resolution,[],[f847,f477]) ).

fof(f850,plain,
    ( $false
    | ~ spl17_12
    | spl17_13 ),
    inference(forward_subsumption_resolution,[],[f849,f473]) ).

fof(f851,plain,
    ( ~ spl17_12
    | spl17_13 ),
    inference(avatar_contradiction_clause,[],[f850]) ).

fof(f866,definition,
    ( spl17_34
  <=> arboreal(sK15(sK13(sK16))) ),
    introduced(definition,[new_symbols(definition,[spl17_34])],[avatar_definition]) ).

fof(f868,plain,
    ( arboreal(sK15(sK13(sK16)))
    | ~ spl17_34 ),
    inference(avatar_component_clause,[],[f866]) ).

fof(f884,plain,
    ! [X0] :
      ( leaf_occ(sK13(X0),X0)
      | ~ occurrence_of(X0,tptp0)
      | tptp0 = sK0(sK7(tptp0,sK13(X0),sK15(sK13(X0)))) ),
    inference(resolution,[],[f762,f558]) ).

fof(f890,plain,
    ( ~ occurrence_of(sK16,tptp0)
    | arboreal(sK15(sK13(sK16)))
    | spl17_12 ),
    inference(resolution,[],[f474,f285]) ).

fof(f891,plain,
    ( arboreal(sK15(sK13(sK16)))
    | spl17_12 ),
    inference(forward_subsumption_resolution,[],[f890,f214]) ).

fof(f892,plain,
    ( spl17_34
    | spl17_12 ),
    inference(avatar_split_clause,[],[f891,f472,f866]) ).

fof(f893,plain,
    ( ~ occurrence_of(sK16,tptp0)
    | tptp0 = sK0(sK7(tptp0,sK13(sK16),sK15(sK13(sK16))))
    | spl17_12 ),
    inference(resolution,[],[f884,f474]) ).

fof(f899,plain,
    ( tptp0 = sK0(sK7(tptp0,sK13(sK16),sK15(sK13(sK16))))
    | spl17_12 ),
    inference(forward_subsumption_resolution,[],[f893,f214]) ).

fof(f906,definition,
    ( spl17_36
  <=> occurrence_of(sK7(tptp0,sK13(sK16),sK15(sK13(sK16))),tptp0) ),
    introduced(definition,[new_symbols(definition,[spl17_36])],[avatar_definition]) ).

fof(f907,plain,
    ( ~ occurrence_of(sK7(tptp0,sK13(sK16),sK15(sK13(sK16))),tptp0)
    | spl17_36 ),
    inference(avatar_component_clause,[],[f906]) ).

fof(f908,plain,
    ( occurrence_of(sK7(tptp0,sK13(sK16),sK15(sK13(sK16))),tptp0)
    | ~ spl17_36 ),
    inference(avatar_component_clause,[],[f906]) ).

fof(f936,plain,
    ( ~ min_precedes(sK13(sK16),sK15(sK13(sK16)),tptp0)
    | spl17_36 ),
    inference(resolution,[],[f907,f176]) ).

fof(f937,plain,
    ( ~ occurrence_of(sK16,tptp0)
    | leaf_occ(sK13(sK16),sK16)
    | spl17_36 ),
    inference(resolution,[],[f936,f762]) ).

fof(f938,plain,
    ( leaf_occ(sK13(sK16),sK16)
    | spl17_36 ),
    inference(forward_subsumption_resolution,[],[f937,f214]) ).

fof(f939,plain,
    ( $false
    | spl17_12
    | spl17_36 ),
    inference(forward_subsumption_resolution,[],[f938,f474]) ).

fof(f940,plain,
    ( spl17_12
    | spl17_36 ),
    inference(avatar_contradiction_clause,[],[f939]) ).

fof(f964,plain,
    ( sK0(sK7(tptp0,sK13(sK16),sK15(sK13(sK16)))) = sK12(sK14(sK7(tptp0,sK13(sK16),sK15(sK13(sK16)))),sK7(tptp0,sK13(sK16),sK15(sK13(sK16))))
    | ~ spl17_36 ),
    inference(resolution,[],[f908,f572]) ).

fof(f983,plain,
    ( tptp0 = sK12(sK14(sK7(tptp0,sK13(sK16),sK15(sK13(sK16)))),sK7(tptp0,sK13(sK16),sK15(sK13(sK16))))
    | spl17_12
    | ~ spl17_36 ),
    inference(forward_demodulation,[],[f964,f899]) ).

fof(f1007,plain,
    ( leaf(sK14(sK7(tptp0,sK13(sK16),sK15(sK13(sK16)))),tptp0)
    | ~ leaf_occ(sK14(sK7(tptp0,sK13(sK16),sK15(sK13(sK16)))),sK7(tptp0,sK13(sK16),sK15(sK13(sK16))))
    | spl17_12
    | ~ spl17_36 ),
    inference(superposition,[],[f190,f983]) ).

fof(f1010,definition,
    ( spl17_44
  <=> leaf_occ(sK14(sK7(tptp0,sK13(sK16),sK15(sK13(sK16)))),sK7(tptp0,sK13(sK16),sK15(sK13(sK16)))) ),
    introduced(definition,[new_symbols(definition,[spl17_44])],[avatar_definition]) ).

fof(f1012,plain,
    ( ~ leaf_occ(sK14(sK7(tptp0,sK13(sK16),sK15(sK13(sK16)))),sK7(tptp0,sK13(sK16),sK15(sK13(sK16))))
    | spl17_44 ),
    inference(avatar_component_clause,[],[f1010]) ).

fof(f1014,definition,
    ( spl17_45
  <=> leaf(sK14(sK7(tptp0,sK13(sK16),sK15(sK13(sK16)))),tptp0) ),
    introduced(definition,[new_symbols(definition,[spl17_45])],[avatar_definition]) ).

fof(f1016,plain,
    ( leaf(sK14(sK7(tptp0,sK13(sK16),sK15(sK13(sK16)))),tptp0)
    | ~ spl17_45 ),
    inference(avatar_component_clause,[],[f1014]) ).

fof(f1017,plain,
    ( ~ spl17_44
    | spl17_45
    | spl17_12
    | ~ spl17_36 ),
    inference(avatar_split_clause,[],[f1007,f906,f472,f1014,f1010]) ).

fof(f1018,plain,
    ( ~ occurrence_of(sK7(tptp0,sK13(sK16),sK15(sK13(sK16))),tptp0)
    | spl17_44 ),
    inference(resolution,[],[f1012,f194]) ).

fof(f1019,plain,
    ( $false
    | ~ spl17_36
    | spl17_44 ),
    inference(forward_subsumption_resolution,[],[f1018,f908]) ).

fof(f1020,plain,
    ( ~ spl17_36
    | spl17_44 ),
    inference(avatar_contradiction_clause,[],[f1019]) ).

fof(f1040,definition,
    ( spl17_46
  <=> min_precedes(sK13(sK16),sK15(sK13(sK16)),tptp0) ),
    introduced(definition,[new_symbols(definition,[spl17_46])],[avatar_definition]) ).

fof(f1041,plain,
    ( min_precedes(sK13(sK16),sK15(sK13(sK16)),tptp0)
    | ~ spl17_46 ),
    inference(avatar_component_clause,[],[f1040]) ).

fof(f1042,plain,
    ( ~ min_precedes(sK13(sK16),sK15(sK13(sK16)),tptp0)
    | spl17_46 ),
    inference(avatar_component_clause,[],[f1040]) ).

fof(f1059,plain,
    ( ~ occurrence_of(sK16,tptp0)
    | leaf_occ(sK13(sK16),sK16)
    | spl17_46 ),
    inference(resolution,[],[f1042,f762]) ).

fof(f1060,plain,
    ( leaf_occ(sK13(sK16),sK16)
    | spl17_46 ),
    inference(forward_subsumption_resolution,[],[f1059,f214]) ).

fof(f1061,plain,
    ( $false
    | spl17_12
    | spl17_46 ),
    inference(forward_subsumption_resolution,[],[f1060,f474]) ).

fof(f1062,plain,
    ( spl17_12
    | spl17_46 ),
    inference(avatar_contradiction_clause,[],[f1061]) ).

fof(f1256,plain,
    ( ~ root(sK15(sK13(sK16)),tptp0)
    | ~ spl17_46 ),
    inference(resolution,[],[f1041,f157]) ).

fof(f1266,definition,
    ( spl17_63
  <=> tptp0 = sK12(sK15(sK13(sK16)),sK7(tptp0,sK13(sK16),sK15(sK13(sK16)))) ),
    introduced(definition,[new_symbols(definition,[spl17_63])],[avatar_definition]) ).

fof(f1268,plain,
    ( tptp0 = sK12(sK15(sK13(sK16)),sK7(tptp0,sK13(sK16),sK15(sK13(sK16))))
    | ~ spl17_63 ),
    inference(avatar_component_clause,[],[f1266]) ).

fof(f1363,definition,
    ( spl17_69
  <=> leaf_occ(sK15(sK13(sK16)),sK7(tptp0,sK13(sK16),sK15(sK13(sK16)))) ),
    introduced(definition,[new_symbols(definition,[spl17_69])],[avatar_definition]) ).

fof(f1364,plain,
    ( ~ leaf_occ(sK15(sK13(sK16)),sK7(tptp0,sK13(sK16),sK15(sK13(sK16))))
    | spl17_69 ),
    inference(avatar_component_clause,[],[f1363]) ).

fof(f1365,plain,
    ( leaf_occ(sK15(sK13(sK16)),sK7(tptp0,sK13(sK16),sK15(sK13(sK16))))
    | ~ spl17_69 ),
    inference(avatar_component_clause,[],[f1363]) ).

fof(f1556,definition,
    ( spl17_81
  <=> sK15(sK13(sK16)) = sK14(sK7(tptp0,sK13(sK16),sK15(sK13(sK16)))) ),
    introduced(definition,[new_symbols(definition,[spl17_81])],[avatar_definition]) ).

fof(f1557,plain,
    ( sK15(sK13(sK16)) != sK14(sK7(tptp0,sK13(sK16),sK15(sK13(sK16))))
    | spl17_81 ),
    inference(avatar_component_clause,[],[f1556]) ).

fof(f1558,plain,
    ( sK15(sK13(sK16)) = sK14(sK7(tptp0,sK13(sK16),sK15(sK13(sK16))))
    | ~ spl17_81 ),
    inference(avatar_component_clause,[],[f1556]) ).

fof(f1577,plain,
    ( occurrence_of(sK15(sK13(sK16)),tptp3)
    | ~ occurrence_of(sK7(tptp0,sK13(sK16),sK15(sK13(sK16))),tptp0)
    | ~ spl17_81 ),
    inference(superposition,[],[f195,f1558]) ).

fof(f1593,plain,
    ( occurrence_of(sK15(sK13(sK16)),tptp3)
    | ~ spl17_36
    | ~ spl17_81 ),
    inference(forward_subsumption_resolution,[],[f1577,f908]) ).

fof(f1813,definition,
    ( spl17_89
  <=> min_precedes(sK15(sK13(sK16)),sK14(sK7(tptp0,sK13(sK16),sK15(sK13(sK16)))),tptp0) ),
    introduced(definition,[new_symbols(definition,[spl17_89])],[avatar_definition]) ).

fof(f1814,plain,
    ( ~ min_precedes(sK15(sK13(sK16)),sK14(sK7(tptp0,sK13(sK16),sK15(sK13(sK16)))),tptp0)
    | spl17_89 ),
    inference(avatar_component_clause,[],[f1813]) ).

fof(f1815,plain,
    ( min_precedes(sK15(sK13(sK16)),sK14(sK7(tptp0,sK13(sK16),sK15(sK13(sK16)))),tptp0)
    | ~ spl17_89 ),
    inference(avatar_component_clause,[],[f1813]) ).

fof(f1834,plain,
    ( ~ leaf(sK15(sK13(sK16)),tptp0)
    | ~ spl17_89 ),
    inference(resolution,[],[f1815,f164]) ).

fof(f2069,plain,
    ( sK0(sK7(tptp0,sK13(sK16),sK15(sK13(sK16)))) = sK12(sK15(sK13(sK16)),sK7(tptp0,sK13(sK16),sK15(sK13(sK16))))
    | ~ spl17_69 ),
    inference(resolution,[],[f1365,f555]) ).

fof(f2071,plain,
    ( subactivity_occurrence(sK15(sK13(sK16)),sK7(tptp0,sK13(sK16),sK15(sK13(sK16))))
    | ~ spl17_69 ),
    inference(resolution,[],[f1365,f191]) ).

fof(f2072,plain,
    ( tptp0 = sK12(sK15(sK13(sK16)),sK7(tptp0,sK13(sK16),sK15(sK13(sK16))))
    | spl17_12
    | ~ spl17_69 ),
    inference(forward_demodulation,[],[f2069,f899]) ).

fof(f2074,plain,
    ( spl17_63
    | spl17_12
    | ~ spl17_69 ),
    inference(avatar_split_clause,[],[f2072,f1363,f472,f1266]) ).

fof(f2086,plain,
    ( leaf(sK15(sK13(sK16)),tptp0)
    | ~ leaf_occ(sK15(sK13(sK16)),sK7(tptp0,sK13(sK16),sK15(sK13(sK16))))
    | ~ spl17_63 ),
    inference(superposition,[],[f190,f1268]) ).

fof(f2088,plain,
    ( ~ leaf_occ(sK15(sK13(sK16)),sK7(tptp0,sK13(sK16),sK15(sK13(sK16))))
    | ~ spl17_63
    | ~ spl17_89 ),
    inference(forward_subsumption_resolution,[],[f2086,f1834]) ).

fof(f2089,plain,
    ( $false
    | ~ spl17_63
    | ~ spl17_69
    | ~ spl17_89 ),
    inference(forward_subsumption_resolution,[],[f2088,f1365]) ).

fof(f2090,plain,
    ( ~ spl17_63
    | ~ spl17_69
    | ~ spl17_89 ),
    inference(avatar_contradiction_clause,[],[f2089]) ).

fof(f2212,plain,
    ( ~ min_precedes(sK13(sK16),sK15(sK13(sK16)),tptp0)
    | ~ arboreal(sK15(sK13(sK16)))
    | tptp0 = sK11(sK15(sK13(sK16)),sK7(tptp0,sK13(sK16),sK15(sK13(sK16))))
    | spl17_69 ),
    inference(resolution,[],[f1364,f678]) ).

fof(f2216,plain,
    ( ~ arboreal(sK15(sK13(sK16)))
    | tptp0 = sK11(sK15(sK13(sK16)),sK7(tptp0,sK13(sK16),sK15(sK13(sK16))))
    | ~ spl17_46
    | spl17_69 ),
    inference(forward_subsumption_resolution,[],[f2212,f1041]) ).

fof(f2218,plain,
    ( tptp0 = sK11(sK15(sK13(sK16)),sK7(tptp0,sK13(sK16),sK15(sK13(sK16))))
    | ~ spl17_34
    | ~ spl17_46
    | spl17_69 ),
    inference(forward_subsumption_resolution,[],[f2216,f868]) ).

fof(f2220,plain,
    ( root(sK15(sK13(sK16)),tptp0)
    | ~ root_occ(sK15(sK13(sK16)),sK7(tptp0,sK13(sK16),sK15(sK13(sK16))))
    | ~ spl17_34
    | ~ spl17_46
    | spl17_69 ),
    inference(superposition,[],[f187,f2218]) ).

fof(f2222,plain,
    ( ~ root_occ(sK15(sK13(sK16)),sK7(tptp0,sK13(sK16),sK15(sK13(sK16))))
    | ~ spl17_34
    | ~ spl17_46
    | spl17_69 ),
    inference(forward_subsumption_resolution,[],[f2220,f1256]) ).

fof(f2256,plain,
    ( ~ min_precedes(sK13(sK16),sK15(sK13(sK16)),tptp0)
    | ~ arboreal(sK15(sK13(sK16)))
    | leaf_occ(sK15(sK13(sK16)),sK7(tptp0,sK13(sK16),sK15(sK13(sK16))))
    | ~ spl17_34
    | ~ spl17_46
    | spl17_69 ),
    inference(resolution,[],[f2222,f353]) ).

fof(f2257,plain,
    ( ~ arboreal(sK15(sK13(sK16)))
    | leaf_occ(sK15(sK13(sK16)),sK7(tptp0,sK13(sK16),sK15(sK13(sK16))))
    | ~ spl17_34
    | ~ spl17_46
    | spl17_69 ),
    inference(forward_subsumption_resolution,[],[f2256,f1041]) ).

fof(f2258,plain,
    ( leaf_occ(sK15(sK13(sK16)),sK7(tptp0,sK13(sK16),sK15(sK13(sK16))))
    | ~ spl17_34
    | ~ spl17_46
    | spl17_69 ),
    inference(forward_subsumption_resolution,[],[f2257,f868]) ).

fof(f2259,plain,
    ( $false
    | ~ spl17_34
    | ~ spl17_46
    | spl17_69 ),
    inference(forward_subsumption_resolution,[],[f2258,f1364]) ).

fof(f2260,plain,
    ( ~ spl17_34
    | ~ spl17_46
    | spl17_69 ),
    inference(avatar_contradiction_clause,[],[f2259]) ).

fof(f2874,definition,
    ( spl17_156
  <=> min_precedes(sK14(sK7(tptp0,sK13(sK16),sK15(sK13(sK16)))),sK15(sK13(sK16)),tptp0) ),
    introduced(definition,[new_symbols(definition,[spl17_156])],[avatar_definition]) ).

fof(f2875,plain,
    ( min_precedes(sK14(sK7(tptp0,sK13(sK16),sK15(sK13(sK16)))),sK15(sK13(sK16)),tptp0)
    | ~ spl17_156 ),
    inference(avatar_component_clause,[],[f2874]) ).

fof(f2876,plain,
    ( ~ min_precedes(sK14(sK7(tptp0,sK13(sK16),sK15(sK13(sK16)))),sK15(sK13(sK16)),tptp0)
    | spl17_156 ),
    inference(avatar_component_clause,[],[f2874]) ).

fof(f2894,plain,
    ( min_precedes(sK15(sK13(sK16)),sK14(sK7(tptp0,sK13(sK16),sK15(sK13(sK16)))),tptp0)
    | sK15(sK13(sK16)) = sK14(sK7(tptp0,sK13(sK16),sK15(sK13(sK16))))
    | ~ occurrence_of(sK7(tptp0,sK13(sK16),sK15(sK13(sK16))),tptp0)
    | ~ arboreal(sK15(sK13(sK16)))
    | ~ subactivity_occurrence(sK15(sK13(sK16)),sK7(tptp0,sK13(sK16),sK15(sK13(sK16))))
    | ~ occurrence_of(sK7(tptp0,sK13(sK16),sK15(sK13(sK16))),tptp0)
    | spl17_156 ),
    inference(resolution,[],[f2876,f260]) ).

fof(f2895,plain,
    ( min_precedes(sK15(sK13(sK16)),sK14(sK7(tptp0,sK13(sK16),sK15(sK13(sK16)))),tptp0)
    | sK15(sK13(sK16)) = sK14(sK7(tptp0,sK13(sK16),sK15(sK13(sK16))))
    | ~ occurrence_of(sK7(tptp0,sK13(sK16),sK15(sK13(sK16))),tptp0)
    | ~ arboreal(sK15(sK13(sK16)))
    | ~ subactivity_occurrence(sK15(sK13(sK16)),sK7(tptp0,sK13(sK16),sK15(sK13(sK16))))
    | spl17_156 ),
    inference(duplicate_literal_removal,[],[f2894]) ).

fof(f2896,plain,
    ( sK15(sK13(sK16)) = sK14(sK7(tptp0,sK13(sK16),sK15(sK13(sK16))))
    | ~ occurrence_of(sK7(tptp0,sK13(sK16),sK15(sK13(sK16))),tptp0)
    | ~ arboreal(sK15(sK13(sK16)))
    | ~ subactivity_occurrence(sK15(sK13(sK16)),sK7(tptp0,sK13(sK16),sK15(sK13(sK16))))
    | spl17_89
    | spl17_156 ),
    inference(forward_subsumption_resolution,[],[f2895,f1814]) ).

fof(f2898,plain,
    ( ~ occurrence_of(sK7(tptp0,sK13(sK16),sK15(sK13(sK16))),tptp0)
    | ~ arboreal(sK15(sK13(sK16)))
    | ~ subactivity_occurrence(sK15(sK13(sK16)),sK7(tptp0,sK13(sK16),sK15(sK13(sK16))))
    | spl17_81
    | spl17_89
    | spl17_156 ),
    inference(forward_subsumption_resolution,[],[f2896,f1557]) ).

fof(f2901,plain,
    ( ~ arboreal(sK15(sK13(sK16)))
    | ~ subactivity_occurrence(sK15(sK13(sK16)),sK7(tptp0,sK13(sK16),sK15(sK13(sK16))))
    | ~ spl17_36
    | spl17_81
    | spl17_89
    | spl17_156 ),
    inference(forward_subsumption_resolution,[],[f2898,f908]) ).

fof(f2902,plain,
    ( ~ subactivity_occurrence(sK15(sK13(sK16)),sK7(tptp0,sK13(sK16),sK15(sK13(sK16))))
    | ~ spl17_34
    | ~ spl17_36
    | spl17_81
    | spl17_89
    | spl17_156 ),
    inference(forward_subsumption_resolution,[],[f2901,f868]) ).

fof(f2903,plain,
    ( $false
    | ~ spl17_34
    | ~ spl17_36
    | ~ spl17_69
    | spl17_81
    | spl17_89
    | spl17_156 ),
    inference(forward_subsumption_resolution,[],[f2902,f2071]) ).

fof(f2904,plain,
    ( ~ spl17_34
    | ~ spl17_36
    | ~ spl17_69
    | spl17_81
    | spl17_89
    | spl17_156 ),
    inference(avatar_contradiction_clause,[],[f2903]) ).

fof(f2952,plain,
    ( ~ leaf(sK14(sK7(tptp0,sK13(sK16),sK15(sK13(sK16)))),tptp0)
    | ~ spl17_156 ),
    inference(resolution,[],[f2875,f164]) ).

fof(f2955,plain,
    ( $false
    | ~ spl17_45
    | ~ spl17_156 ),
    inference(forward_subsumption_resolution,[],[f2952,f1016]) ).

fof(f2956,plain,
    ( ~ spl17_45
    | ~ spl17_156 ),
    inference(avatar_contradiction_clause,[],[f2955]) ).

fof(f3004,plain,
    ( ~ occurrence_of(sK16,tptp0)
    | leaf_occ(sK13(sK16),sK16)
    | tptp3 = tptp1
    | ~ spl17_36
    | ~ spl17_81 ),
    inference(resolution,[],[f1593,f282]) ).

fof(f3015,plain,
    ( leaf_occ(sK13(sK16),sK16)
    | tptp3 = tptp1
    | ~ spl17_36
    | ~ spl17_81 ),
    inference(forward_subsumption_resolution,[],[f3004,f214]) ).

fof(f3018,plain,
    ( tptp3 = tptp1
    | spl17_12
    | ~ spl17_36
    | ~ spl17_81 ),
    inference(forward_subsumption_resolution,[],[f3015,f474]) ).

fof(f3019,plain,
    ( $false
    | spl17_12
    | ~ spl17_36
    | ~ spl17_81 ),
    inference(forward_subsumption_resolution,[],[f3018,f207]) ).

fof(f3020,plain,
    ( spl17_12
    | ~ spl17_36
    | ~ spl17_81 ),
    inference(avatar_contradiction_clause,[],[f3019]) ).

cnf(s26,plain,
    ~ spl17_13,
    inference(sat_conversion,[],[f845]) ).

cnf(s27,plain,
    ( ~ spl17_12
    | spl17_13 ),
    inference(sat_conversion,[],[f851]) ).

cnf(s30,plain,
    ( spl17_12
    | spl17_34 ),
    inference(sat_conversion,[],[f892]) ).

cnf(s35,plain,
    ( spl17_12
    | spl17_36 ),
    inference(sat_conversion,[],[f940]) ).

cnf(s40,plain,
    ( spl17_12
    | ~ spl17_36
    | ~ spl17_44
    | spl17_45 ),
    inference(sat_conversion,[],[f1017]) ).

cnf(s41,plain,
    ( ~ spl17_36
    | spl17_44 ),
    inference(sat_conversion,[],[f1020]) ).

cnf(s44,plain,
    ( spl17_12
    | spl17_46 ),
    inference(sat_conversion,[],[f1062]) ).

cnf(s136,plain,
    ( spl17_12
    | spl17_63
    | ~ spl17_69 ),
    inference(sat_conversion,[],[f2074]) ).

cnf(s138,plain,
    ( ~ spl17_63
    | ~ spl17_69
    | ~ spl17_89 ),
    inference(sat_conversion,[],[f2090]) ).

cnf(s155,plain,
    ( ~ spl17_34
    | ~ spl17_46
    | spl17_69 ),
    inference(sat_conversion,[],[f2260]) ).

cnf(s198,plain,
    ( ~ spl17_34
    | ~ spl17_36
    | ~ spl17_69
    | spl17_81
    | spl17_89
    | spl17_156 ),
    inference(sat_conversion,[],[f2904]) ).

cnf(s200,plain,
    ( ~ spl17_45
    | ~ spl17_156 ),
    inference(sat_conversion,[],[f2956]) ).

cnf(s203,plain,
    ( spl17_12
    | ~ spl17_36
    | ~ spl17_81 ),
    inference(sat_conversion,[],[f3020]) ).

cnf(s214,plain,
    ~ spl17_12,
    inference(rat,[],[s27,s26]) ).

cnf(s216,plain,
    spl17_46,
    inference(rat,[],[s44,s214]) ).

cnf(s217,plain,
    spl17_36,
    inference(rat,[],[s35,s214]) ).

cnf(s218,plain,
    spl17_34,
    inference(rat,[],[s30,s214]) ).

cnf(s221,plain,
    ~ spl17_81,
    inference(rat,[],[s203,s214,s217]) ).

cnf(s224,plain,
    spl17_44,
    inference(rat,[],[s41,s217]) ).

cnf(s227,plain,
    spl17_69,
    inference(rat,[],[s155,s216,s218]) ).

cnf(s231,plain,
    spl17_45,
    inference(rat,[],[s40,s217,s214,s224]) ).

cnf(s233,plain,
    spl17_63,
    inference(rat,[],[s136,s214,s227]) ).

cnf(s234,plain,
    ~ spl17_156,
    inference(rat,[],[s200,s231]) ).

cnf(s239,plain,
    ~ spl17_89,
    inference(rat,[],[s138,s227,s233]) ).

cnf(s240,plain,
    $false,
    inference(rat,[],[s198,s227,s218,s221,s217,s234,s239]) ).

fof(f3021,plain,
    $false,
    inference(avatar_sat_refutation,[],[s240]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : PRO004+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.06  % Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.37  % Computer : n006.cluster.edu
% 0.12/0.37  % Model    : x86_64 x86_64
% 0.12/0.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.37  % Memory   : 8046.5625MB
% 0.12/0.37  % OS       : Linux 6.8.0-71-generic
% 0.12/0.37  % CPULimit : 300
% 0.12/0.37  % WCLimit  : 300
% 0.12/0.37  % DateTime : Sun Sep 27 22:16:40 UTC 2026
% 0.12/0.37  % CPUTime  : 
% 0.12/0.37  Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.40  Running first-order theorem proving
% 0.12/0.40  Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 8.66/2.22  % (3380678)Detected formulas, will run a generic FOF schedule.
% 8.66/2.22  % (3380687)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=2848929765:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 8.66/2.22  % (3380687)Refutation not found, incomplete strategy
% 8.66/2.22  % (3380687)------------------------------
% 8.66/2.22  % (3380687)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.66/2.22  % (3380687)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.66/2.22  % (3380687)CaDiCaL version: 2.1.3
% 8.66/2.22  % (3380687)Termination reason: Refutation not found, incomplete strategy
% 8.66/2.22  % (3380687)Time elapsed: 0.0000 s
% 8.66/2.22  % (3380687)Peak memory usage: 87 MB
% 8.66/2.22  % (3380685)lrs+1010_1_anc=all:sfv=off:to=kbo:ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:prc=on:sos=all:bsr=unit_only:sac=on:random_seed=893986654:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 8.66/2.22  % (3380686)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=3385923130:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 8.66/2.22  % (3380684)lrs+11_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:lma=off:spb=units:urr=ec_only:bce=on:s2agt=64:updr=off:random_seed=1113873180:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 8.66/2.22  % (3380683)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=goal:fd=preordered:foolp=on:random_seed=1466196586:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 8.66/2.22  % (3380686)Refutation not found, incomplete strategy
% 8.66/2.22  % (3380686)------------------------------
% 8.66/2.22  % (3380686)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.66/2.22  % (3380686)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.66/2.22  % (3380686)CaDiCaL version: 2.1.3
% 8.66/2.22  % (3380686)Termination reason: Refutation not found, incomplete strategy
% 8.66/2.22  % (3380686)Time elapsed: 0.001 s
% 8.66/2.22  % (3380686)Peak memory usage: 86 MB
% 8.66/2.22  % (3380689)dis-21_1_sil=8000:lcm=predicate:random_seed=615693309:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/129Mi)
% 8.66/2.22  % (3380688)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1197324308:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 8.66/2.22  % (3380689)Instruction limit reached! 
% 8.66/2.22  % (3380689)------------------------------
% 8.66/2.22  % (3380689)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.66/2.22  % (3380689)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.66/2.22  % (3380689)CaDiCaL version: 2.1.3
% 8.66/2.22  % (3380689)Termination reason: Instruction limit
% 8.66/2.22  % (3380689)Termination phase: Saturation
% 8.66/2.22  % (3380689)Time elapsed: 0.078 s
% 8.66/2.22  % (3380689)Peak memory usage: 88 MB
% 8.66/2.22  % (3380689)Instructions burned: 129 (million)
% 8.66/2.22  % (3380687)------------------------------
% 8.66/2.22  % (3380687)------------------------------
% 8.66/2.22  % (3380688)Instruction limit reached! 
% 8.66/2.22  % (3380688)------------------------------
% 8.66/2.22  % (3380688)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.66/2.22  % (3380688)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.66/2.22  % (3380688)CaDiCaL version: 2.1.3
% 8.66/2.22  % (3380688)Termination reason: Instruction limit
% 8.66/2.22  % (3380688)Termination phase: Saturation
% 8.66/2.22  % (3380688)Time elapsed: 0.099 s
% 8.66/2.22  % (3380688)Peak memory usage: 89 MB
% 8.66/2.22  % (3380688)Instructions burned: 140 (million)
% 8.66/2.22  % (3380698)lrs+10_1_sil=32000:urr=on:br=off:random_seed=1380215192:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 8.66/2.22  % (3380698)Refutation not found, incomplete strategy
% 8.66/2.22  % (3380698)------------------------------
% 8.66/2.22  % (3380698)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.66/2.22  % (3380698)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.66/2.22  % (3380698)CaDiCaL version: 2.1.3
% 8.66/2.22  % (3380698)Termination reason: Refutation not found, incomplete strategy
% 8.66/2.22  % (3380698)Time elapsed: 0.001 s
% 8.66/2.22  % (3380698)Peak memory usage: 88 MB
% 8.66/2.22  % (3380697)lrs+10_1_sil=8000:sp=occurrence:random_seed=1629910340:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 8.66/2.22  % (3380686)------------------------------
% 8.66/2.22  % (3380686)------------------------------
% 8.66/2.22  % (3380699)lrs+1011_1_sil=32000:sp=occurrence:random_seed=1271877325:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 8.66/2.22  % (3380698)------------------------------
% 8.66/2.22  % (3380698)------------------------------
% 8.66/2.22  % (3380702)dis+10_5:1_slsqr=1,4:sil=8000:fde=unused:erd=off:urr=full:fd=off:s2agt=8:br=off:slsq=on:random_seed=2467747081:s2a=on:i=248:s2at=1.23:gtg=position_2995 on theBenchmark for (2995ds/248Mi)
% 8.66/2.22  % (3380697)Instruction limit reached! 
% 8.66/2.22  % (3380697)------------------------------
% 8.66/2.22  % (3380697)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.66/2.22  % (3380697)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.66/2.22  % (3380697)CaDiCaL version: 2.1.3
% 8.66/2.22  % (3380697)Termination reason: Instruction limit
% 8.66/2.22  % (3380697)Termination phase: Saturation
% 8.66/2.22  % (3380697)Time elapsed: 0.184 s
% 8.66/2.22  % (3380697)Peak memory usage: 91 MB
% 8.66/2.22  % (3380697)Instructions burned: 286 (million)
% 8.66/2.22  % (3380704)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=1920829518:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2994 on theBenchmark for (2994ds/294Mi)
% 8.66/2.22  % (3380704)Refutation not found, incomplete strategy
% 8.66/2.22  % (3380704)------------------------------
% 8.66/2.22  % (3380704)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.66/2.22  % (3380704)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.66/2.22  % (3380704)CaDiCaL version: 2.1.3
% 8.66/2.22  % (3380704)Termination reason: Refutation not found, incomplete strategy
% 8.66/2.22  % (3380704)Time elapsed: 0.002 s
% 8.66/2.22  % (3380704)Peak memory usage: 88 MB
% 8.66/2.22  % (3380704)Instructions burned: 3 (million)
% 8.66/2.22  % (3380699)Instruction limit reached! 
% 8.66/2.22  % (3380699)------------------------------
% 8.66/2.22  % (3380699)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.66/2.22  % (3380699)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.66/2.22  % (3380699)CaDiCaL version: 2.1.3
% 8.66/2.22  % (3380699)Termination reason: Instruction limit
% 8.66/2.22  % (3380699)Termination phase: Saturation
% 8.66/2.22  % (3380699)Time elapsed: 0.210 s
% 8.66/2.22  % (3380699)Peak memory usage: 91 MB
% 8.66/2.22  % (3380699)Instructions burned: 325 (million)
% 8.66/2.22  % (3380702)Instruction limit reached! 
% 8.66/2.22  % (3380702)------------------------------
% 8.66/2.22  % (3380702)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.66/2.22  % (3380702)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.66/2.22  % (3380702)CaDiCaL version: 2.1.3
% 8.66/2.22  % (3380702)Termination reason: Instruction limit
% 8.66/2.22  % (3380702)Termination phase: Saturation
% 8.66/2.22  % (3380702)Time elapsed: 0.139 s
% 8.66/2.22  % (3380702)Peak memory usage: 89 MB
% 8.66/2.22  % (3380702)Instructions burned: 249 (million)
% 8.66/2.22  % (3380706)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=1946542844:i=2350_2993 on theBenchmark for (2993ds/2350Mi)
% 8.66/2.22  % (3380704)------------------------------
% 8.66/2.22  % (3380704)------------------------------
% 8.66/2.22  % (3380708)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=2685260315:cts=off:i=113:fsr=off:ss=included:sgt=4_2993 on theBenchmark for (2993ds/113Mi)
% 8.66/2.22  % (3380709)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=264952705:i=127:av=off:fsr=off:sup=off_2992 on theBenchmark for (2992ds/127Mi)
% 8.66/2.22  % (3380708)Instruction limit reached! 
% 8.66/2.22  % (3380708)------------------------------
% 8.66/2.22  % (3380708)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.66/2.22  % (3380708)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.66/2.22  % (3380708)CaDiCaL version: 2.1.3
% 8.66/2.22  % (3380708)Termination reason: Instruction limit
% 8.66/2.22  % (3380708)Termination phase: Saturation
% 8.66/2.22  % (3380708)Time elapsed: 0.082 s
% 8.66/2.22  % (3380708)Peak memory usage: 90 MB
% 8.66/2.22  % (3380708)Instructions burned: 113 (million)
% 8.66/2.22  % (3380711)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=2047802308:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2991 on theBenchmark for (2991ds/114Mi)
% 8.66/2.22  % (3380711)Refutation not found, incomplete strategy
% 8.66/2.22  % (3380711)------------------------------
% 8.66/2.22  % (3380711)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.66/2.22  % (3380711)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.66/2.22  % (3380711)CaDiCaL version: 2.1.3
% 8.66/2.22  % (3380711)Termination reason: Refutation not found, incomplete strategy
% 8.66/2.22  % (3380711)Time elapsed: 0.0000 s
% 8.66/2.22  % (3380711)Peak memory usage: 87 MB
% 8.66/2.22  % (3380709)Instruction limit reached! 
% 8.66/2.22  % (3380709)------------------------------
% 8.66/2.22  % (3380709)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.66/2.22  % (3380709)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.66/2.22  % (3380709)CaDiCaL version: 2.1.3
% 8.66/2.22  % (3380709)Termination reason: Instruction limit
% 8.66/2.22  % (3380709)Termination phase: Saturation
% 8.66/2.22  % (3380709)Time elapsed: 0.068 s
% 8.66/2.22  % (3380709)Peak memory usage: 89 MB
% 8.66/2.22  % (3380709)Instructions burned: 129 (million)
% 8.66/2.22  % (3380714)lrs+10_1_sil=8000:sp=occurrence:random_seed=4277211569:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2991 on theBenchmark for (2991ds/907Mi)
% 8.66/2.22  % (3380711)------------------------------
% 8.66/2.22  % (3380711)------------------------------
% 8.66/2.22  % (3380683)First to succeed.
% 8.66/2.22  % (3380683)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3380678"
% 8.66/2.22  % (3380716)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=3829317319:i=437:sd=1:aac=none:ss=included_2990 on theBenchmark for (2990ds/437Mi)
% 8.66/2.22  % (3380716)Refutation not found, incomplete strategy
% 8.66/2.22  % (3380716)------------------------------
% 8.66/2.22  % (3380716)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.66/2.22  % (3380716)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.66/2.22  % (3380716)CaDiCaL version: 2.1.3
% 8.66/2.22  % (3380716)Termination reason: Refutation not found, incomplete strategy
% 8.66/2.22  % (3380716)Time elapsed: 0.004 s
% 8.66/2.22  % (3380716)Peak memory usage: 88 MB
% 8.66/2.22  % (3380716)Instructions burned: 5 (million)
% 8.66/2.22  % (3380684)Also succeeded, but the first one will report.
% 8.66/2.22  % (3380718)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=2903701949:i=5202:ss=axioms:sgt=16_2989 on theBenchmark for (2989ds/5202Mi)
% 8.66/2.22  % (3380683)Refutation found. Thanks to Tanya!
% 8.66/2.22  % SZS status Theorem for theBenchmark
% 8.66/2.22  % SZS output start Proof for theBenchmark
% See solution above
% 10.36/2.42  % (3380683)------------------------------
% 10.36/2.42  % (3380683)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.36/2.42  % (3380683)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.36/2.42  % (3380683)CaDiCaL version: 2.1.3
% 10.36/2.42  % (3380683)Termination reason: Refutation
% 10.36/2.42  % (3380683)Time elapsed: 0.937 s
% 10.36/2.42  % (3380683)Peak memory usage: 130 MB
% 10.36/2.42  % (3380683)Instructions burned: 1327 (million)
% 10.36/2.42  % (3380683)------------------------------
% 10.36/2.42  % (3380683)------------------------------
% 10.36/2.42  % (3380678)Success in time 1.382 s
% 10.36/2.42  % Vampire exiting
%------------------------------------------------------------------------------