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Vampire---5.0.1.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Vampire---5.0.1
% Problem  : SEV656+1 : TPTP v9.3.1. Released v9.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM

% Computer : n004.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 12:58:30 PM UTC 2026

% Result   : Theorem 19.96s 4.25s
% Output   : Refutation 23.67s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   18
%            Number of leaves      :   15
% Syntax   : Number of formulae    :   76 (  35 unt;   7 def)
%            Number of atoms       :  165 (  68 equ)
%            Maximal formula atoms :    6 (   2 avg)
%            Number of connectives :  152 (  63   ~;  58   |;  15   &)
%                                         (   4 <=>;  12  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   3 avg)
%            Maximal term depth    :    5 (   1 avg)
%            Number of predicates  :    7 (   5 usr;   3 prp; 0-2 aty)
%            Number of functors    :   16 (  16 usr;  12 con; 0-3 aty)
%            Number of variables   :   49 (   0 sgn  43   !;   6   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f926,axiom,
    ! [X0] :
      ( c_24__type__785___24t(X0)
    <=> ! [X1] :
          ( cCoq_2eInit_2eDatatypes_2elist___24t(cIntMap_2eMap_2ead,X1)
         => cCoq_2eInit_2eDatatypes_2ebool___24t(happ(X0,X1)) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p','$_type_785') ).

fof(f1332,axiom,
    c_24__type__785___24t(cMaplists_2eMapLists_2ead__list__stutters),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p','$_typeof_Maplists.MapLists.ad_list_stutters') ).

fof(f1459,axiom,
    cCoq_2eInit_2eDatatypes_2etrue != cCoq_2eInit_2eDatatypes_2efalse,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p','Coq.Bool.Bool.diff_true_false') ).

fof(f1473,axiom,
    ! [X0] :
      ( cCoq_2eInit_2eDatatypes_2ebool___24t(X0)
     => ( X0 != cCoq_2eInit_2eDatatypes_2etrue
       => X0 = cCoq_2eInit_2eDatatypes_2efalse ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p','Coq.Bool.Bool.not_true_is_false') ).

fof(f1951,axiom,
    ! [X0] :
      ( cCoq_2eInit_2eDatatypes_2elist___24t(cIntMap_2eMap_2ead,X0)
     => ! [X1] :
          ( cCoq_2eInit_2eDatatypes_2elist___24t(cIntMap_2eMap_2ead,X1)
         => ( cMaplists_2eMapLists_2ead__list__stutters___24a1(X0) = cCoq_2eInit_2eDatatypes_2etrue
           => cMaplists_2eMapLists_2ead__list__stutters___24a1(cCoq_2eInit_2eDatatypes_2eapp___24a3(cIntMap_2eMap_2ead,X0,X1)) = cCoq_2eInit_2eDatatypes_2etrue ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p','Maplists.MapLists.ad_list_stutters_app_l') ).

fof(f2000,axiom,
    ! [X0] : happ(cMaplists_2eMapLists_2ead__list__stutters,X0) = cMaplists_2eMapLists_2ead__list__stutters___24a1(X0),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p','$adef_Maplists.MapLists.ad_list_stutters_$a1') ).

fof(f2021,axiom,
    ! [X0,X1,X2] : happ(happ(happ(cCoq_2eInit_2eDatatypes_2eapp,X0),X1),X2) = cCoq_2eInit_2eDatatypes_2eapp___24a3(X0,X1,X2),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p','$adef_Coq.Init.Datatypes.app_$a3') ).

fof(f3042,conjecture,
    ! [X0] :
      ( cCoq_2eInit_2eDatatypes_2elist___24t(cIntMap_2eMap_2ead,X0)
     => ! [X1] :
          ( cCoq_2eInit_2eDatatypes_2elist___24t(cIntMap_2eMap_2ead,X1)
         => ( cMaplists_2eMapLists_2ead__list__stutters___24a1(cCoq_2eInit_2eDatatypes_2eapp___24a3(cIntMap_2eMap_2ead,X0,X1)) = cCoq_2eInit_2eDatatypes_2efalse
           => cMaplists_2eMapLists_2ead__list__stutters___24a1(X0) = cCoq_2eInit_2eDatatypes_2efalse ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p','_HAMMER_GOAL') ).

fof(f3043,negated_conjecture,
    ~ ! [X0] :
        ( cCoq_2eInit_2eDatatypes_2elist___24t(cIntMap_2eMap_2ead,X0)
       => ! [X1] :
            ( cCoq_2eInit_2eDatatypes_2elist___24t(cIntMap_2eMap_2ead,X1)
           => ( cMaplists_2eMapLists_2ead__list__stutters___24a1(cCoq_2eInit_2eDatatypes_2eapp___24a3(cIntMap_2eMap_2ead,X0,X1)) = cCoq_2eInit_2eDatatypes_2efalse
             => cMaplists_2eMapLists_2ead__list__stutters___24a1(X0) = cCoq_2eInit_2eDatatypes_2efalse ) ) ),
    inference(negated_conjecture,[status(cth)],[f3042]) ).

fof(f4065,plain,
    ! [X0] :
      ( c_24__type__785___24t(X0)
    <=> ! [X1] :
          ( cCoq_2eInit_2eDatatypes_2ebool___24t(happ(X0,X1))
          | ~ cCoq_2eInit_2eDatatypes_2elist___24t(cIntMap_2eMap_2ead,X1) ) ),
    inference(ennf_transformation,[],[f926]) ).

fof(f4271,plain,
    ! [X0] :
      ( X0 = cCoq_2eInit_2eDatatypes_2efalse
      | cCoq_2eInit_2eDatatypes_2etrue = X0
      | ~ cCoq_2eInit_2eDatatypes_2ebool___24t(X0) ),
    inference(ennf_transformation,[],[f1473]) ).

fof(f4272,plain,
    ! [X0] :
      ( X0 = cCoq_2eInit_2eDatatypes_2efalse
      | cCoq_2eInit_2eDatatypes_2etrue = X0
      | ~ cCoq_2eInit_2eDatatypes_2ebool___24t(X0) ),
    inference(flattening,[],[f4271]) ).

fof(f4999,plain,
    ! [X0] :
      ( ! [X1] :
          ( cMaplists_2eMapLists_2ead__list__stutters___24a1(cCoq_2eInit_2eDatatypes_2eapp___24a3(cIntMap_2eMap_2ead,X0,X1)) = cCoq_2eInit_2eDatatypes_2etrue
          | cCoq_2eInit_2eDatatypes_2etrue != cMaplists_2eMapLists_2ead__list__stutters___24a1(X0)
          | ~ cCoq_2eInit_2eDatatypes_2elist___24t(cIntMap_2eMap_2ead,X1) )
      | ~ cCoq_2eInit_2eDatatypes_2elist___24t(cIntMap_2eMap_2ead,X0) ),
    inference(ennf_transformation,[],[f1951]) ).

fof(f5000,plain,
    ! [X0] :
      ( ! [X1] :
          ( cMaplists_2eMapLists_2ead__list__stutters___24a1(cCoq_2eInit_2eDatatypes_2eapp___24a3(cIntMap_2eMap_2ead,X0,X1)) = cCoq_2eInit_2eDatatypes_2etrue
          | cCoq_2eInit_2eDatatypes_2etrue != cMaplists_2eMapLists_2ead__list__stutters___24a1(X0)
          | ~ cCoq_2eInit_2eDatatypes_2elist___24t(cIntMap_2eMap_2ead,X1) )
      | ~ cCoq_2eInit_2eDatatypes_2elist___24t(cIntMap_2eMap_2ead,X0) ),
    inference(flattening,[],[f4999]) ).

fof(f5020,plain,
    ? [X0] :
      ( ? [X1] :
          ( cCoq_2eInit_2eDatatypes_2efalse != cMaplists_2eMapLists_2ead__list__stutters___24a1(X0)
          & cMaplists_2eMapLists_2ead__list__stutters___24a1(cCoq_2eInit_2eDatatypes_2eapp___24a3(cIntMap_2eMap_2ead,X0,X1)) = cCoq_2eInit_2eDatatypes_2efalse
          & cCoq_2eInit_2eDatatypes_2elist___24t(cIntMap_2eMap_2ead,X1) )
      & cCoq_2eInit_2eDatatypes_2elist___24t(cIntMap_2eMap_2ead,X0) ),
    inference(ennf_transformation,[],[f3043]) ).

fof(f5021,plain,
    ? [X0] :
      ( ? [X1] :
          ( cCoq_2eInit_2eDatatypes_2efalse != cMaplists_2eMapLists_2ead__list__stutters___24a1(X0)
          & cMaplists_2eMapLists_2ead__list__stutters___24a1(cCoq_2eInit_2eDatatypes_2eapp___24a3(cIntMap_2eMap_2ead,X0,X1)) = cCoq_2eInit_2eDatatypes_2efalse
          & cCoq_2eInit_2eDatatypes_2elist___24t(cIntMap_2eMap_2ead,X1) )
      & cCoq_2eInit_2eDatatypes_2elist___24t(cIntMap_2eMap_2ead,X0) ),
    inference(flattening,[],[f5020]) ).

fof(f7652,plain,
    ! [X0] :
      ( ( c_24__type__785___24t(X0)
        | ? [X1] :
            ( ~ cCoq_2eInit_2eDatatypes_2ebool___24t(happ(X0,X1))
            & cCoq_2eInit_2eDatatypes_2elist___24t(cIntMap_2eMap_2ead,X1) ) )
      & ( ! [X1] :
            ( cCoq_2eInit_2eDatatypes_2ebool___24t(happ(X0,X1))
            | ~ cCoq_2eInit_2eDatatypes_2elist___24t(cIntMap_2eMap_2ead,X1) )
        | ~ c_24__type__785___24t(X0) ) ),
    inference(nnf_transformation,[],[f4065]) ).

fof(f7653,plain,
    ! [X0] :
      ( ( c_24__type__785___24t(X0)
        | ? [X1] :
            ( ~ cCoq_2eInit_2eDatatypes_2ebool___24t(happ(X0,X1))
            & cCoq_2eInit_2eDatatypes_2elist___24t(cIntMap_2eMap_2ead,X1) ) )
      & ( ! [X2] :
            ( cCoq_2eInit_2eDatatypes_2ebool___24t(happ(X0,X2))
            | ~ cCoq_2eInit_2eDatatypes_2elist___24t(cIntMap_2eMap_2ead,X2) )
        | ~ c_24__type__785___24t(X0) ) ),
    inference(rectify,[],[f7652]) ).

fof(f7654,plain,
    ! [X0] :
      ( ( c_24__type__785___24t(X0)
        | ( ~ cCoq_2eInit_2eDatatypes_2ebool___24t(happ(X0,sK1969(X0)))
          & cCoq_2eInit_2eDatatypes_2elist___24t(cIntMap_2eMap_2ead,sK1969(X0)) ) )
      & ( ! [X2] :
            ( cCoq_2eInit_2eDatatypes_2ebool___24t(happ(X0,X2))
            | ~ cCoq_2eInit_2eDatatypes_2elist___24t(cIntMap_2eMap_2ead,X2) )
        | ~ c_24__type__785___24t(X0) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK1969]),skolemize(X1,sK1969(X0))],[f7653]) ).

fof(f8396,plain,
    ( cCoq_2eInit_2eDatatypes_2efalse != cMaplists_2eMapLists_2ead__list__stutters___24a1(sK2112)
    & cCoq_2eInit_2eDatatypes_2efalse = cMaplists_2eMapLists_2ead__list__stutters___24a1(cCoq_2eInit_2eDatatypes_2eapp___24a3(cIntMap_2eMap_2ead,sK2112,sK2113))
    & cCoq_2eInit_2eDatatypes_2elist___24t(cIntMap_2eMap_2ead,sK2113)
    & cCoq_2eInit_2eDatatypes_2elist___24t(cIntMap_2eMap_2ead,sK2112) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK2112,sK2113]),skolemize(X0,sK2112),skolemize(X1,sK2113)],[f5021]) ).

fof(f13374,plain,
    ! [X2,X0] :
      ( cCoq_2eInit_2eDatatypes_2ebool___24t(happ(X0,X2))
      | ~ cCoq_2eInit_2eDatatypes_2elist___24t(cIntMap_2eMap_2ead,X2)
      | ~ c_24__type__785___24t(X0) ),
    inference(cnf_transformation,[],[f7654]) ).

fof(f13886,plain,
    c_24__type__785___24t(cMaplists_2eMapLists_2ead__list__stutters),
    inference(cnf_transformation,[],[f1332]) ).

fof(f14044,plain,
    cCoq_2eInit_2eDatatypes_2etrue != cCoq_2eInit_2eDatatypes_2efalse,
    inference(cnf_transformation,[],[f1459]) ).

fof(f14064,plain,
    ! [X0] :
      ( ~ cCoq_2eInit_2eDatatypes_2ebool___24t(X0)
      | cCoq_2eInit_2eDatatypes_2etrue = X0
      | cCoq_2eInit_2eDatatypes_2efalse = X0 ),
    inference(cnf_transformation,[],[f4272]) ).

fof(f14734,plain,
    ! [X0,X1] :
      ( cCoq_2eInit_2eDatatypes_2etrue = cMaplists_2eMapLists_2ead__list__stutters___24a1(cCoq_2eInit_2eDatatypes_2eapp___24a3(cIntMap_2eMap_2ead,X0,X1))
      | cCoq_2eInit_2eDatatypes_2etrue != cMaplists_2eMapLists_2ead__list__stutters___24a1(X0)
      | ~ cCoq_2eInit_2eDatatypes_2elist___24t(cIntMap_2eMap_2ead,X1)
      | ~ cCoq_2eInit_2eDatatypes_2elist___24t(cIntMap_2eMap_2ead,X0) ),
    inference(cnf_transformation,[],[f5000]) ).

fof(f14789,plain,
    ! [X0] : cMaplists_2eMapLists_2ead__list__stutters___24a1(X0) = happ(cMaplists_2eMapLists_2ead__list__stutters,X0),
    inference(cnf_transformation,[],[f2000]) ).

fof(f14812,plain,
    ! [X2,X0,X1] : cCoq_2eInit_2eDatatypes_2eapp___24a3(X0,X1,X2) = happ(happ(happ(cCoq_2eInit_2eDatatypes_2eapp,X0),X1),X2),
    inference(cnf_transformation,[],[f2021]) ).

fof(f16312,plain,
    cCoq_2eInit_2eDatatypes_2elist___24t(cIntMap_2eMap_2ead,sK2112),
    inference(cnf_transformation,[],[f8396]) ).

fof(f16313,plain,
    cCoq_2eInit_2eDatatypes_2elist___24t(cIntMap_2eMap_2ead,sK2113),
    inference(cnf_transformation,[],[f8396]) ).

fof(f16314,plain,
    cCoq_2eInit_2eDatatypes_2efalse = cMaplists_2eMapLists_2ead__list__stutters___24a1(cCoq_2eInit_2eDatatypes_2eapp___24a3(cIntMap_2eMap_2ead,sK2112,sK2113)),
    inference(cnf_transformation,[],[f8396]) ).

fof(f16315,plain,
    cCoq_2eInit_2eDatatypes_2efalse != cMaplists_2eMapLists_2ead__list__stutters___24a1(sK2112),
    inference(cnf_transformation,[],[f8396]) ).

fof(f19555,plain,
    ! [X0,X1] :
      ( cCoq_2eInit_2eDatatypes_2etrue != happ(cMaplists_2eMapLists_2ead__list__stutters,X0)
      | cCoq_2eInit_2eDatatypes_2etrue = happ(cMaplists_2eMapLists_2ead__list__stutters,happ(happ(happ(cCoq_2eInit_2eDatatypes_2eapp,cIntMap_2eMap_2ead),X0),X1))
      | ~ cCoq_2eInit_2eDatatypes_2elist___24t(cIntMap_2eMap_2ead,X1)
      | ~ cCoq_2eInit_2eDatatypes_2elist___24t(cIntMap_2eMap_2ead,X0) ),
    inference(definition_unfolding,[],[f14734,f14789,f14812,f14789]) ).

fof(f19707,plain,
    cCoq_2eInit_2eDatatypes_2efalse != happ(cMaplists_2eMapLists_2ead__list__stutters,sK2112),
    inference(definition_unfolding,[],[f16315,f14789]) ).

fof(f19708,plain,
    cCoq_2eInit_2eDatatypes_2efalse = happ(cMaplists_2eMapLists_2ead__list__stutters,happ(happ(happ(cCoq_2eInit_2eDatatypes_2eapp,cIntMap_2eMap_2ead),sK2112),sK2113)),
    inference(definition_unfolding,[],[f16314,f14789,f14812]) ).

fof(f19805,definition,
    sF2114 = happ(cMaplists_2eMapLists_2ead__list__stutters,sK2112),
    introduced(definition,[new_symbols(definition,[sF2114])],[function_definition]) ).

fof(f19806,plain,
    happ(cMaplists_2eMapLists_2ead__list__stutters,sK2112) = sF2114,
    inference(reorient_equations,[],[f19805]) ).

fof(f19807,plain,
    cCoq_2eInit_2eDatatypes_2efalse != sF2114,
    inference(definition_folding,[],[f19707,f19806]) ).

fof(f19808,definition,
    sF2115 = happ(cCoq_2eInit_2eDatatypes_2eapp,cIntMap_2eMap_2ead),
    introduced(definition,[new_symbols(definition,[sF2115])],[function_definition]) ).

fof(f19809,plain,
    happ(cCoq_2eInit_2eDatatypes_2eapp,cIntMap_2eMap_2ead) = sF2115,
    inference(reorient_equations,[],[f19808]) ).

fof(f19810,definition,
    sF2116 = happ(sF2115,sK2112),
    introduced(definition,[new_symbols(definition,[sF2116])],[function_definition]) ).

fof(f19811,plain,
    happ(sF2115,sK2112) = sF2116,
    inference(reorient_equations,[],[f19810]) ).

fof(f19812,definition,
    sF2117 = happ(sF2116,sK2113),
    introduced(definition,[new_symbols(definition,[sF2117])],[function_definition]) ).

fof(f19813,plain,
    happ(sF2116,sK2113) = sF2117,
    inference(reorient_equations,[],[f19812]) ).

fof(f19814,definition,
    sF2118 = happ(cMaplists_2eMapLists_2ead__list__stutters,sF2117),
    introduced(definition,[new_symbols(definition,[sF2118])],[function_definition]) ).

fof(f19815,plain,
    happ(cMaplists_2eMapLists_2ead__list__stutters,sF2117) = sF2118,
    inference(reorient_equations,[],[f19814]) ).

fof(f19816,plain,
    cCoq_2eInit_2eDatatypes_2efalse = sF2118,
    inference(definition_folding,[],[f19708,f19815,f19813,f19811,f19809]) ).

fof(f20120,definition,
    ( spl2119_11
  <=> cCoq_2eInit_2eDatatypes_2etrue = cCoq_2eInit_2eDatatypes_2efalse ),
    introduced(definition,[new_symbols(definition,[spl2119_11])],[avatar_definition]) ).

fof(f20122,plain,
    ( cCoq_2eInit_2eDatatypes_2etrue != cCoq_2eInit_2eDatatypes_2efalse
    | spl2119_11 ),
    inference(avatar_component_clause,[],[f20120]) ).

fof(f20140,plain,
    ~ spl2119_11,
    inference(avatar_split_clause,[],[f14044,f20120]) ).

fof(f20452,plain,
    cCoq_2eInit_2eDatatypes_2efalse = happ(cMaplists_2eMapLists_2ead__list__stutters,sF2117),
    inference(forward_demodulation,[],[f19815,f19816]) ).

fof(f20691,definition,
    ( spl2119_61
  <=> cCoq_2eInit_2eDatatypes_2etrue = sF2114 ),
    introduced(definition,[new_symbols(definition,[spl2119_61])],[avatar_definition]) ).

fof(f20692,plain,
    ( cCoq_2eInit_2eDatatypes_2etrue = sF2114
    | ~ spl2119_61 ),
    inference(avatar_component_clause,[],[f20691]) ).

fof(f20693,plain,
    ( cCoq_2eInit_2eDatatypes_2etrue != sF2114
    | spl2119_61 ),
    inference(avatar_component_clause,[],[f20691]) ).

fof(f20703,plain,
    ! [X0] :
      ( cCoq_2eInit_2eDatatypes_2etrue != sF2114
      | cCoq_2eInit_2eDatatypes_2etrue = happ(cMaplists_2eMapLists_2ead__list__stutters,happ(happ(happ(cCoq_2eInit_2eDatatypes_2eapp,cIntMap_2eMap_2ead),sK2112),X0))
      | ~ cCoq_2eInit_2eDatatypes_2elist___24t(cIntMap_2eMap_2ead,X0)
      | ~ cCoq_2eInit_2eDatatypes_2elist___24t(cIntMap_2eMap_2ead,sK2112) ),
    inference(superposition,[],[f19555,f19806]) ).

fof(f22629,plain,
    ( cCoq_2eInit_2eDatatypes_2ebool___24t(sF2114)
    | ~ cCoq_2eInit_2eDatatypes_2elist___24t(cIntMap_2eMap_2ead,sK2112)
    | ~ c_24__type__785___24t(cMaplists_2eMapLists_2ead__list__stutters) ),
    inference(superposition,[],[f13374,f19806]) ).

fof(f22644,plain,
    ( cCoq_2eInit_2eDatatypes_2ebool___24t(sF2114)
    | ~ c_24__type__785___24t(cMaplists_2eMapLists_2ead__list__stutters) ),
    inference(forward_subsumption_resolution,[],[f22629,f16312]) ).

fof(f22733,plain,
    cCoq_2eInit_2eDatatypes_2ebool___24t(sF2114),
    inference(forward_subsumption_resolution,[],[f22644,f13886]) ).

fof(f22735,plain,
    ( cCoq_2eInit_2eDatatypes_2etrue = sF2114
    | cCoq_2eInit_2eDatatypes_2efalse = sF2114 ),
    inference(resolution,[],[f22733,f14064]) ).

fof(f22751,plain,
    ( cCoq_2eInit_2eDatatypes_2efalse = sF2114
    | spl2119_61 ),
    inference(forward_subsumption_resolution,[],[f22735,f20693]) ).

fof(f22754,plain,
    ( $false
    | spl2119_61 ),
    inference(forward_subsumption_resolution,[],[f22751,f19807]) ).

fof(f22755,plain,
    spl2119_61,
    inference(avatar_contradiction_clause,[],[f22754]) ).

fof(f22758,plain,
    ( ! [X0] :
        ( cCoq_2eInit_2eDatatypes_2etrue = happ(cMaplists_2eMapLists_2ead__list__stutters,happ(happ(happ(cCoq_2eInit_2eDatatypes_2eapp,cIntMap_2eMap_2ead),sK2112),X0))
        | ~ cCoq_2eInit_2eDatatypes_2elist___24t(cIntMap_2eMap_2ead,X0)
        | ~ cCoq_2eInit_2eDatatypes_2elist___24t(cIntMap_2eMap_2ead,sK2112) )
    | ~ spl2119_61 ),
    inference(forward_subsumption_resolution,[],[f20703,f20692]) ).

fof(f22759,plain,
    ( ! [X0] :
        ( cCoq_2eInit_2eDatatypes_2etrue = happ(cMaplists_2eMapLists_2ead__list__stutters,happ(happ(happ(cCoq_2eInit_2eDatatypes_2eapp,cIntMap_2eMap_2ead),sK2112),X0))
        | ~ cCoq_2eInit_2eDatatypes_2elist___24t(cIntMap_2eMap_2ead,X0) )
    | ~ spl2119_61 ),
    inference(forward_subsumption_resolution,[],[f22758,f16312]) ).

fof(f22760,plain,
    ( ! [X0] :
        ( cCoq_2eInit_2eDatatypes_2etrue = happ(cMaplists_2eMapLists_2ead__list__stutters,happ(happ(sF2115,sK2112),X0))
        | ~ cCoq_2eInit_2eDatatypes_2elist___24t(cIntMap_2eMap_2ead,X0) )
    | ~ spl2119_61 ),
    inference(forward_demodulation,[],[f22759,f19809]) ).

fof(f22761,plain,
    ( ! [X0] :
        ( ~ cCoq_2eInit_2eDatatypes_2elist___24t(cIntMap_2eMap_2ead,X0)
        | cCoq_2eInit_2eDatatypes_2etrue = happ(cMaplists_2eMapLists_2ead__list__stutters,happ(sF2116,X0)) )
    | ~ spl2119_61 ),
    inference(forward_demodulation,[],[f22760,f19811]) ).

fof(f22765,plain,
    ( cCoq_2eInit_2eDatatypes_2etrue = happ(cMaplists_2eMapLists_2ead__list__stutters,happ(sF2116,sK2113))
    | ~ spl2119_61 ),
    inference(resolution,[],[f22761,f16313]) ).

fof(f22767,plain,
    ( cCoq_2eInit_2eDatatypes_2etrue = happ(cMaplists_2eMapLists_2ead__list__stutters,sF2117)
    | ~ spl2119_61 ),
    inference(forward_demodulation,[],[f22765,f19813]) ).

fof(f22768,plain,
    ( cCoq_2eInit_2eDatatypes_2etrue = cCoq_2eInit_2eDatatypes_2efalse
    | ~ spl2119_61 ),
    inference(forward_demodulation,[],[f22767,f20452]) ).

fof(f22769,plain,
    ( $false
    | spl2119_11
    | ~ spl2119_61 ),
    inference(forward_subsumption_resolution,[],[f22768,f20122]) ).

fof(f22770,plain,
    ( spl2119_11
    | ~ spl2119_61 ),
    inference(avatar_contradiction_clause,[],[f22769]) ).

cnf(s12,plain,
    ~ spl2119_11,
    inference(sat_conversion,[],[f20140]) ).

cnf(s268,plain,
    spl2119_61,
    inference(sat_conversion,[],[f22755]) ).

cnf(s270,plain,
    ( spl2119_11
    | ~ spl2119_61 ),
    inference(sat_conversion,[],[f22770]) ).

cnf(s271,plain,
    spl2119_11,
    inference(rat,[],[s270,s268]) ).

cnf(s289,plain,
    $false,
    inference(rat,[],[s12,s271]) ).

fof(f22771,plain,
    $false,
    inference(avatar_sat_refutation,[],[s289]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02  % Problem  : SEV656+1 : TPTP v9.3.1. Released v9.3.0.
% 0.00/0.05  % Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.36  % Computer : n004.cluster.edu
% 0.11/0.36  % Model    : x86_64 x86_64
% 0.11/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.36  % Memory   : 8046.5625MB
% 0.11/0.36  % OS       : Linux 6.8.0-71-generic
% 0.11/0.36  % CPULimit : 300
% 0.11/0.36  % WCLimit  : 300
% 0.11/0.36  % DateTime : Mon Sep 28 06:49:52 UTC 2026
% 0.11/0.36  % CPUTime  : 
% 0.11/0.36  Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.40  Running first-order theorem proving
% 0.11/0.40  Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 11.58/2.75  % (157442)Detected formulas, will run a generic FOF schedule.
% 11.58/2.75  % (157452)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1278436536:s2a=on:i=139:gtg=position_2998 on theBenchmark for (2998ds/139Mi)
% 11.58/2.75  % (157447)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=1542684249:i=141193_2998 on theBenchmark for (2998ds/141193Mi)
% 11.58/2.75  % (157451)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=464312558:i=119:av=off:ss=axioms_2998 on theBenchmark for (2998ds/119Mi)
% 11.58/2.75  % (157448)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=2250915739:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2998 on theBenchmark for (2998ds/134677Mi)
% 11.58/2.75  % (157449)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=32753825:i=141695:sd=1:nm=32:gsp=on:ss=included_2998 on theBenchmark for (2998ds/141695Mi)
% 11.58/2.75  % (157450)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=2285732461:i=109:sd=1:ins=1:gsp=on:ss=axioms_2998 on theBenchmark for (2998ds/109Mi)
% 11.58/2.75  % (157452)Instruction limit reached! 
% 11.58/2.75  % (157452)------------------------------
% 11.58/2.75  % (157452)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.58/2.75  % (157452)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.58/2.75  % (157452)CaDiCaL version: 2.1.3
% 11.58/2.75  % (157452)Termination reason: Instruction limit
% 11.58/2.75  % (157452)Termination phase: Preprocessing 3
% 11.58/2.75  % (157452)Time elapsed: 0.042 s
% 11.58/2.75  % (157452)Peak memory usage: 92 MB
% 11.58/2.75  % (157452)Instructions burned: 141 (million)
% 11.58/2.75  % (157450)Refutation not found, incomplete strategy
% 11.58/2.75  % (157450)------------------------------
% 11.58/2.75  % (157450)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.58/2.75  % (157450)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.58/2.75  % (157450)CaDiCaL version: 2.1.3
% 11.58/2.75  % (157450)Termination reason: Refutation not found, incomplete strategy
% 11.58/2.75  % (157450)Time elapsed: 0.018 s
% 11.58/2.75  % (157450)Peak memory usage: 93 MB
% 11.58/2.75  % (157450)Instructions burned: 35 (million)
% 11.58/2.75  % (157453)dis-21_1_sil=8000:lcm=predicate:random_seed=354032113:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2998 on theBenchmark for (2998ds/129Mi)
% 11.58/2.75  % (157451)Instruction limit reached! 
% 11.58/2.75  % (157451)------------------------------
% 11.58/2.75  % (157451)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.58/2.75  % (157451)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.58/2.75  % (157451)CaDiCaL version: 2.1.3
% 11.58/2.75  % (157451)Termination reason: Instruction limit
% 11.58/2.75  % (157451)Termination phase: Saturation
% 11.58/2.75  % (157451)Time elapsed: 0.065 s
% 11.58/2.75  % (157451)Peak memory usage: 92 MB
% 11.58/2.75  % (157451)Instructions burned: 120 (million)
% 11.58/2.75  % (157453)Instruction limit reached! 
% 11.58/2.75  % (157453)------------------------------
% 11.58/2.75  % (157453)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.58/2.75  % (157453)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.58/2.75  % (157453)CaDiCaL version: 2.1.3
% 11.58/2.75  % (157453)Termination reason: Instruction limit
% 11.58/2.75  % (157453)Termination phase: Preprocessing 3
% 11.58/2.75  % (157453)Time elapsed: 0.076 s
% 11.58/2.75  % (157453)Peak memory usage: 94 MB
% 11.58/2.75  % (157453)Instructions burned: 129 (million)
% 11.58/2.75  % (157460)lrs+10_1_sil=8000:sp=occurrence:random_seed=2752297735:i=285:sd=3:ss=axioms:sgt=8_2996 on theBenchmark for (2996ds/285Mi)
% 11.58/2.75  % (157462)lrs+10_1_sil=32000:urr=on:br=off:random_seed=4055623434:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2996 on theBenchmark for (2996ds/157Mi)
% 11.58/2.75  % (157460)Instruction limit reached! 
% 11.58/2.75  % (157460)------------------------------
% 11.58/2.75  % (157460)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.58/2.75  % (157460)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.58/2.75  % (157460)CaDiCaL version: 2.1.3
% 11.58/2.75  % (157460)Termination reason: Instruction limit
% 11.58/2.75  % (157460)Termination phase: Saturation
% 11.58/2.75  % (157460)Time elapsed: 0.083 s
% 18.28/3.70  % (157460)Peak memory usage: 95 MB
% 18.28/3.70  % (157460)Instructions burned: 286 (million)
% 18.28/3.70  % (157462)Refutation not found, incomplete strategy
% 18.28/3.70  % (157462)------------------------------
% 18.28/3.70  % (157462)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.28/3.70  % (157462)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.28/3.70  % (157462)CaDiCaL version: 2.1.3
% 18.28/3.70  % (157462)Termination reason: Refutation not found, incomplete strategy
% 18.28/3.70  % (157462)Time elapsed: 0.035 s
% 18.28/3.70  % (157462)Peak memory usage: 93 MB
% 18.28/3.70  % (157462)Instructions burned: 77 (million)
% 18.28/3.70  % (157450)------------------------------
% 18.28/3.70  % (157450)------------------------------
% 18.28/3.70  % (157463)lrs+1011_1_sil=32000:sp=occurrence:random_seed=2827121544:i=325:sd=1:ss=axioms:sgt=32_2995 on theBenchmark for (2995ds/325Mi)
% 18.28/3.70  % (157466)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=414821367:s2a=on:i=248:s2at=1.23:gtg=position_2994 on theBenchmark for (2994ds/248Mi)
% 18.28/3.70  % (157466)Instruction limit reached! 
% 18.28/3.70  % (157466)------------------------------
% 18.28/3.70  % (157466)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.28/3.70  % (157466)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.28/3.70  % (157466)CaDiCaL version: 2.1.3
% 18.28/3.70  % (157466)Termination reason: Instruction limit
% 18.28/3.70  % (157466)Termination phase: Property scanning
% 18.28/3.70  % (157466)Time elapsed: 0.071 s
% 18.28/3.70  % (157466)Peak memory usage: 97 MB
% 18.28/3.70  % (157466)Instructions burned: 254 (million)
% 18.28/3.70  % (157468)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=675758972:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2994 on theBenchmark for (2994ds/294Mi)
% 18.28/3.70  % (157468)Refutation not found, incomplete strategy
% 18.28/3.70  % (157468)------------------------------
% 18.28/3.70  % (157468)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.28/3.70  % (157468)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.28/3.70  % (157468)CaDiCaL version: 2.1.3
% 18.28/3.70  % (157468)Termination reason: Refutation not found, incomplete strategy
% 18.28/3.70  % (157468)Time elapsed: 0.029 s
% 18.28/3.70  % (157468)Peak memory usage: 93 MB
% 18.28/3.70  % (157468)Instructions burned: 59 (million)
% 18.28/3.70  % (157463)Instruction limit reached! 
% 18.28/3.70  % (157463)------------------------------
% 18.28/3.70  % (157463)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.28/3.70  % (157463)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.28/3.70  % (157463)CaDiCaL version: 2.1.3
% 18.28/3.70  % (157463)Termination reason: Instruction limit
% 18.28/3.70  % (157463)Termination phase: Saturation
% 18.28/3.70  % (157463)Time elapsed: 0.195 s
% 18.28/3.70  % (157463)Peak memory usage: 95 MB
% 18.28/3.70  % (157463)Instructions burned: 325 (million)
% 18.28/3.70  % (157462)------------------------------
% 18.28/3.70  % (157462)------------------------------
% 18.28/3.70  % (157470)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=1106197469:i=2350_2992 on theBenchmark for (2992ds/2350Mi)
% 18.28/3.70  % (157472)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=2489025967:cts=off:i=113:fsr=off:ss=included:sgt=4_2992 on theBenchmark for (2992ds/113Mi)
% 18.28/3.70  % (157473)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=3106840192:i=127:av=off:fsr=off:sup=off_2991 on theBenchmark for (2991ds/127Mi)
% 18.28/3.70  % (157472)Instruction limit reached! 
% 18.28/3.70  % (157472)------------------------------
% 18.28/3.70  % (157472)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.28/3.70  % (157472)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.28/3.70  % (157472)CaDiCaL version: 2.1.3
% 18.28/3.70  % (157472)Termination reason: Instruction limit
% 18.28/3.70  % (157472)Termination phase: Preprocessing 3
% 18.28/3.70  % (157472)Time elapsed: 0.066 s
% 18.28/3.70  % (157472)Peak memory usage: 93 MB
% 18.28/3.70  % (157472)Instructions burned: 113 (million)
% 18.28/3.70  % (157468)------------------------------
% 18.28/3.70  % (157468)------------------------------
% 18.28/3.70  % (157473)Instruction limit reached! 
% 18.28/3.70  % (157473)------------------------------
% 18.28/3.70  % (157473)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.28/3.70  % (157473)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.96/4.25  % (157473)CaDiCaL version: 2.1.3
% 19.96/4.25  % (157473)Termination reason: Instruction limit
% 19.96/4.25  % (157473)Termination phase: Preprocessing 3
% 19.96/4.25  % (157473)Time elapsed: 0.078 s
% 19.96/4.25  % (157473)Peak memory usage: 96 MB
% 19.96/4.25  % (157473)Instructions burned: 127 (million)
% 19.96/4.25  % (157478)lrs+10_1_sil=8000:sp=occurrence:random_seed=4033881911:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2989 on theBenchmark for (2989ds/907Mi)
% 19.96/4.25  % (157477)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=2157079876:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2989 on theBenchmark for (2989ds/114Mi)
% 19.96/4.25  % (157479)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=1801787245:i=437:sd=1:aac=none:ss=included_2989 on theBenchmark for (2989ds/437Mi)
% 19.96/4.25  % (157477)Instruction limit reached! 
% 19.96/4.25  % (157477)------------------------------
% 19.96/4.25  % (157477)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.96/4.25  % (157477)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.96/4.25  % (157477)CaDiCaL version: 2.1.3
% 19.96/4.25  % (157477)Termination reason: Instruction limit
% 19.96/4.25  % (157477)Termination phase: SInE selection
% 19.96/4.25  % (157477)Time elapsed: 0.047 s
% 19.96/4.25  % (157477)Peak memory usage: 89 MB
% 19.96/4.25  % (157477)Instructions burned: 114 (million)
% 19.96/4.25  % (157483)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=3677261649:i=5202:ss=axioms:sgt=16_2987 on theBenchmark for (2987ds/5202Mi)
% 19.96/4.25  % (157479)Instruction limit reached! 
% 19.96/4.25  % (157479)------------------------------
% 19.96/4.25  % (157479)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.96/4.25  % (157479)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.96/4.25  % (157479)CaDiCaL version: 2.1.3
% 19.96/4.25  % (157479)Termination reason: Instruction limit
% 19.96/4.25  % (157479)Termination phase: Saturation
% 19.96/4.25  % (157479)Time elapsed: 0.216 s
% 19.96/4.25  % (157479)Peak memory usage: 102 MB
% 19.96/4.25  % (157479)Instructions burned: 438 (million)
% 19.96/4.25  % (157485)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=2538683023:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2985 on theBenchmark for (2985ds/134Mi)
% 19.96/4.25  % (157485)Instruction limit reached! 
% 19.96/4.25  % (157485)------------------------------
% 19.96/4.25  % (157485)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.96/4.25  % (157485)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.96/4.25  % (157485)CaDiCaL version: 2.1.3
% 19.96/4.25  % (157485)Termination reason: Instruction limit
% 19.96/4.25  % (157485)Termination phase: NewCNF
% 19.96/4.25  % (157485)Time elapsed: 0.082 s
% 19.96/4.25  % (157485)Peak memory usage: 94 MB
% 19.96/4.25  % (157485)Instructions burned: 135 (million)
% 19.96/4.25  % (157478)Instruction limit reached! 
% 19.96/4.25  % (157478)------------------------------
% 19.96/4.25  % (157478)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.96/4.25  % (157478)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.96/4.25  % (157478)CaDiCaL version: 2.1.3
% 19.96/4.25  % (157478)Termination reason: Instruction limit
% 19.96/4.25  % (157478)Termination phase: Saturation
% 19.96/4.25  % (157478)Time elapsed: 0.543 s
% 19.96/4.25  % (157478)Peak memory usage: 112 MB
% 19.96/4.25  % (157478)Instructions burned: 907 (million)
% 19.96/4.25  % (157470)Instruction limit reached! 
% 19.96/4.25  % (157470)------------------------------
% 19.96/4.25  % (157470)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.96/4.25  % (157470)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.96/4.25  % (157470)CaDiCaL version: 2.1.3
% 19.96/4.25  % (157470)Termination reason: Instruction limit
% 19.96/4.25  % (157470)Termination phase: Saturation
% 19.96/4.25  % (157470)Time elapsed: 0.915 s
% 19.96/4.25  % (157470)Peak memory usage: 260 MB
% 19.96/4.25  % (157470)Instructions burned: 2355 (million)
% 19.96/4.25  % (157487)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=2262463879:st=8:i=592:sd=3:ep=RST:ss=axioms_2983 on theBenchmark for (2983ds/592Mi)
% 19.96/4.25  % (157489)lrs+1666_7_slsqr=4,1:sil=8000:plsq=on:plsqc=1:sos=on:urr=on:plsql=on:rp=on:alpa=false:sac=on:slsq=on:random_seed=4079321726:i=125:slsql=off:bs=unit_only:gtg=position:fdi=2:gsp=on:ss=axioms:sgt=8_2982 on theBenchmark for (2982ds/125Mi)
% 19.96/4.25  % (157488)lrs+10_1_ncem=casc2026/models/loop6.pt:sil=32000:npcc=on:random_seed=1089996765:st=3:i=13193:sd=3:ss=axioms_2982 on theBenchmark for (2982ds/13193Mi)
% 19.96/4.25  % (157489)Instruction limit reached! 
% 19.96/4.25  % (157489)------------------------------
% 19.96/4.25  % (157489)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.96/4.25  % (157489)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.96/4.25  % (157489)CaDiCaL version: 2.1.3
% 19.96/4.25  % (157489)Termination reason: Instruction limit
% 19.96/4.25  % (157489)Termination phase: Saturation
% 19.96/4.25  % (157489)Time elapsed: 0.031 s
% 19.96/4.25  % (157489)Peak memory usage: 93 MB
% 19.96/4.25  % (157489)Instructions burned: 127 (million)
% 19.96/4.25  % (157493)lrs+10_1024_to=lpo:sil=8000:tgt=full:sp=arity:slsq=on:random_seed=1798484800:i=134:gtgl=5:slsql=off:gtg=exists_sym_2980 on theBenchmark for (2980ds/134Mi)
% 19.96/4.25  % (157493)Instruction limit reached! 
% 19.96/4.25  % (157493)------------------------------
% 19.96/4.25  % (157493)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.96/4.25  % (157493)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.96/4.25  % (157493)CaDiCaL version: 2.1.3
% 19.96/4.25  % (157493)Termination reason: Instruction limit
% 19.96/4.25  % (157493)Termination phase: Preprocessing 1
% 19.96/4.25  % (157493)Time elapsed: 0.030 s
% 19.96/4.25  % (157493)Peak memory usage: 90 MB
% 19.96/4.25  % (157493)Instructions burned: 139 (million)
% 19.96/4.25  % (157487)Instruction limit reached! 
% 19.96/4.25  % (157487)------------------------------
% 19.96/4.25  % (157487)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.96/4.25  % (157487)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.96/4.25  % (157487)CaDiCaL version: 2.1.3
% 19.96/4.25  % (157487)Termination reason: Instruction limit
% 19.96/4.25  % (157487)Termination phase: Saturation
% 19.96/4.25  % (157487)Time elapsed: 0.327 s
% 19.96/4.25  % (157487)Peak memory usage: 104 MB
% 19.96/4.25  % (157487)Instructions burned: 592 (million)
% 19.96/4.25  % (157495)lrs+10_1_sil=16000:plsq=on:plsqc=1:plsqr=32,1:sos=on:lcm=reverse:fd=off:newcnf=on:random_seed=2213870899:i=141:sd=1:gsp=on:sup=off:ss=axioms:sgt=8_2978 on theBenchmark for (2978ds/141Mi)
% 19.96/4.25  % (157495)Instruction limit reached! 
% 19.96/4.25  % (157495)------------------------------
% 19.96/4.25  % (157495)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.96/4.25  % (157495)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.96/4.25  % (157495)CaDiCaL version: 2.1.3
% 19.96/4.25  % (157495)Termination reason: Instruction limit
% 19.96/4.25  % (157495)Termination phase: Saturation
% 19.96/4.25  % (157495)Time elapsed: 0.035 s
% 19.96/4.25  % (157495)Peak memory usage: 93 MB
% 19.96/4.25  % (157495)Instructions burned: 146 (million)
% 19.96/4.25  % (157496)lrs+1011_1_sil=8000:plsq=on:sp=occurrence:fs=off:random_seed=1418744285:i=431:sd=1:fsr=off:sup=off:ss=axioms:sgt=64_2978 on theBenchmark for (2978ds/431Mi)
% 19.96/4.25  % (157496)Refutation not found, incomplete strategy
% 19.96/4.25  % (157496)------------------------------
% 19.96/4.25  % (157496)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.96/4.25  % (157496)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.96/4.25  % (157496)CaDiCaL version: 2.1.3
% 19.96/4.25  % (157496)Termination reason: Refutation not found, incomplete strategy
% 19.96/4.25  % (157496)Time elapsed: 0.021 s
% 19.96/4.25  % (157496)Peak memory usage: 93 MB
% 19.96/4.25  % (157496)Instructions burned: 37 (million)
% 19.96/4.25  % (157498)lrs+1010_1_ncem=casc2026/models/loop6.pt:sil=64000:tgt=full:npcc=on:prc=on:urr=ec_only:bsr=on:fd=preordered:gs=on:sac=on:newcnf=on:random_seed=1758712467:i=6060:aac=none:ins=25_2977 on theBenchmark for (2977ds/6060Mi)
% 19.96/4.25  % (157496)------------------------------
% 19.96/4.25  % (157496)------------------------------
% 19.96/4.25  % (157501)lrs+10_16_anc=all:slsqr=32,1:sil=8000:avsql=on:sp=unary_frequency:lcm=predicate:urr=full:rp=on:br=off:slsqc=4:flr=on:sac=on:slsq=on:avsqc=1:random_seed=2877373049:avsq=on:s2a=on:i=150:kws=precedence:nicw=on:gsp=on:rawr=on_2973 on theBenchmark for (2973ds/150Mi)
% 19.96/4.25  % (157501)Instruction limit reached! 
% 19.96/4.25  % (157501)------------------------------
% 19.96/4.25  % (157501)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.96/4.25  % (157501)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.96/4.25  % (157501)CaDiCaL version: 2.1.3
% 19.96/4.25  % (157501)Termination reason: Instruction limit
% 19.96/4.25  % (157501)Termination phase: Preprocessing 3
% 19.96/4.25  % (157501)Time elapsed: 0.083 s
% 19.96/4.25  % (157501)Peak memory usage: 95 MB
% 19.96/4.25  % (157501)Instructions burned: 151 (million)
% 19.96/4.25  % (157503)lrs+1010_1_ncem=casc2026/models/loop8.pt:sil=64000:tgt=ground:npcc=on:sp=arity:urr=on:random_seed=533606012:i=14155:bd=all_2971 on theBenchmark for (2971ds/14155Mi)
% 19.96/4.25  % (157447)First to succeed.
% 19.96/4.25  % (157447)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-157442"
% 19.96/4.25  % (157448)Also succeeded, but the first one will report.
% 19.96/4.25  % (157447)Refutation found. Thanks to Tanya!
% 19.96/4.25  % SZS status Theorem for theBenchmark
% 19.96/4.25  % SZS output start Proof for theBenchmark
% See solution above
% 23.67/4.45  % (157447)------------------------------
% 23.67/4.45  % (157447)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 23.67/4.45  % (157447)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.67/4.45  % (157447)CaDiCaL version: 2.1.3
% 23.67/4.45  % (157447)Termination reason: Refutation
% 23.67/4.45  % (157447)Time elapsed: 2.799 s
% 23.67/4.45  % (157447)Peak memory usage: 242 MB
% 23.67/4.45  % (157447)Instructions burned: 4819 (million)
% 23.67/4.45  % (157447)------------------------------
% 23.67/4.45  % (157447)------------------------------
% 23.67/4.45  % (157442)Success in time 3.406 s
% 23.67/4.45  % Vampire exiting
%------------------------------------------------------------------------------