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Vampire---5.0.1.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Vampire---5.0.1
% Problem  : NUM636+4 : TPTP v9.3.1. Released v7.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM

% Computer : n019.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 12:16:06 PM UTC 2026

% Result   : Theorem 154.69s 22.69s
% Output   : Refutation 155.30s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   19
%            Number of leaves      :   30
% Syntax   : Number of formulae    :  175 (  40 unt;   8 def)
%            Number of atoms       :  462 (  43 equ)
%            Maximal formula atoms :   12 (   2 avg)
%            Number of connectives :  480 ( 193   ~; 220   |;  36   &)
%                                         (  20 <=>;  11  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   11 (   4 avg)
%            Maximal term depth    :    6 (   2 avg)
%            Number of predicates  :   13 (  11 usr;   9 prp; 0-2 aty)
%            Number of functors    :   31 (  31 usr;  17 con; 0-2 aty)
%            Number of variables   :  169 (   0 sgn 161   !;   8   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f8,axiom,
    gg_TPTP_ind(scratc954648526ptyset),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gsy_c_Scratch__tptp__translate__39347__27944_ONUM636__thf__4__p_Obnd__emptyset) ).

fof(f18,axiom,
    ! [X0,X1] : gg_TPTP_ind(aa_TPTP_ind_TPTP_ind(X0,X1)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gsy_c_aa_001t__TPTP____Interpret__Oind_001t__TPTP____Interpret__Oind) ).

fof(f25,axiom,
    ! [X0] :
      ( pp(aa_TPTP_ind_bool(scratc20619203_prop1,X0))
    <=> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc2088211583nd_nis,aa_TPTP_ind_TPTP_ind(scratc1108832938rdsucc,X0)),X0)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_def__d__22__prop1) ).

fof(f29,axiom,
    scratc820767612nd_n_1 = aa_TPTP_ind_TPTP_ind(scratc1108832938rdsucc,scratc954648526ptyset),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_def__n__1) ).

fof(f34,axiom,
    ! [X0,X1] :
      ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc2088211583nd_nis,X0),X1))
    <=> pp(scratc561180296_d_not(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1975714239d_n_is,X0),X1))) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_def__nis) ).

fof(f35,axiom,
    scratc1975714239d_n_is = scratc309570230d_e_is(scratc2087686792nd_nat),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_def__n__is) ).

fof(f36,axiom,
    scratc2087686792nd_nat = aa_fun1431113780TP_ind(scratc337463667_d_Sep(scratc1208035240_omega),aTP_Lamm_ac),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_def__nat) ).

fof(f82,axiom,
    ! [X0] : scratc309570230d_e_is(X0) = fequal_TPTP_ind,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_def__e__is) ).

fof(f97,axiom,
    ! [X0] :
      ( pp(scratc561180296_d_not(X0))
    <=> pp(aa_bool_bool(aa_boo1142376798l_bool(scratc2047166451nd_imp,X0),fFalse)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_def__d__not) ).

fof(f98,axiom,
    scratc2047166451nd_imp = fimplies,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_def__imp) ).

fof(f111,axiom,
    ! [X0] :
      ( pp(aa_TPTP_ind_bool(scratc1352903720_nat_p,X0))
    <=> ! [X1] :
          ( pp(aa_TPTP_ind_bool(X1,scratc954648526ptyset))
         => ( ! [X2] :
                ( gg_TPTP_ind(X2)
               => ( pp(aa_TPTP_ind_bool(X1,X2))
                 => pp(aa_TPTP_ind_bool(X1,aa_TPTP_ind_TPTP_ind(scratc1108832938rdsucc,X2))) ) )
           => pp(aa_TPTP_ind_bool(X1,X0)) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_def__nat__p) ).

fof(f129,axiom,
    ! [X0,X1] :
      ( pp(aa_fun171081125l_bool(scratc2026207007all_of(X0),X1))
    <=> ! [X2] :
          ( gg_TPTP_ind(X2)
         => ( scratc1466259514_is_of(X2,X0)
           => pp(aa_TPTP_ind_bool(X1,X2)) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_def__all__of) ).

fof(f130,axiom,
    ! [X0,X1] :
      ( scratc1466259514_is_of(X0,X1)
    <=> pp(aa_TPTP_ind_bool(X1,X0)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_def__is__of) ).

fof(f172,axiom,
    ! [X0] :
      ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc908175294bnd_in,X0),scratc1208035240_omega))
     => pp(aa_TPTP_ind_bool(scratc1352903720_nat_p,X0)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_omega__nat__p) ).

fof(f178,axiom,
    ! [X0,X1] :
      ( ( gg_TPTP_ind(X0)
        & gg_TPTP_ind(X1) )
     => ( aa_TPTP_ind_TPTP_ind(scratc1108832938rdsucc,X0) = aa_TPTP_ind_TPTP_ind(scratc1108832938rdsucc,X1)
       => X0 = X1 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_ordsucc__inj) ).

fof(f179,axiom,
    ! [X0] : aa_TPTP_ind_TPTP_ind(scratc1108832938rdsucc,X0) != scratc954648526ptyset,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_neq__ordsucc__0) ).

fof(f181,axiom,
    ! [X0,X1,X2] :
      ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc908175294bnd_in,X2),aa_fun1431113780TP_ind(scratc337463667_d_Sep(X0),X1)))
     => pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc908175294bnd_in,X2),X0)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_k__SepE1) ).

fof(f199,axiom,
    ! [X0] :
      ( pp(aa_TPTP_ind_bool(aTP_Lamm_aa,X0))
    <=> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc2088211583nd_nis,aa_TPTP_ind_TPTP_ind(scratc1108832938rdsucc,X0)),X0)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_ATP_Olambda__2) ).

fof(f203,axiom,
    ! [X0] :
      ( pp(aa_TPTP_ind_bool(aTP_Lamm_a,X0))
    <=> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc908175294bnd_in,X0),scratc2087686792nd_nat)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_ATP_Olambda__6) ).

fof(f279,axiom,
    ! [X0,X1] :
      ( pp(X0)
      | pp(aa_bool_bool(aa_boo1142376798l_bool(fimplies,X0),X1)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',help_fimplies_1_1_U) ).

fof(f282,axiom,
    ! [X0,X1] :
      ( ( gg_TPTP_ind(X0)
        & gg_TPTP_ind(X1) )
     => ( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(fequal_TPTP_ind,X0),X1))
        | X0 = X1 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',help_fequal_1_1_fequal_001t__TPTP____Interpret__Oind_T) ).

fof(f286,conjecture,
    pp(aa_fun171081125l_bool(scratc2026207007all_of(aTP_Lamm_a),aTP_Lamm_aa)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_0) ).

fof(f287,negated_conjecture,
    ~ pp(aa_fun171081125l_bool(scratc2026207007all_of(aTP_Lamm_a),aTP_Lamm_aa)),
    inference(negated_conjecture,[status(cth)],[f286]) ).

fof(f288,plain,
    ~ pp(aa_fun171081125l_bool(scratc2026207007all_of(aTP_Lamm_a),aTP_Lamm_aa)),
    inference(flattening,[],[f287]) ).

fof(f293,plain,
    ! [X0] :
      ( pp(aa_TPTP_ind_bool(scratc1352903720_nat_p,X0))
    <=> ! [X1] :
          ( pp(aa_TPTP_ind_bool(X1,X0))
          | ? [X2] :
              ( ~ pp(aa_TPTP_ind_bool(X1,aa_TPTP_ind_TPTP_ind(scratc1108832938rdsucc,X2)))
              & pp(aa_TPTP_ind_bool(X1,X2))
              & gg_TPTP_ind(X2) )
          | ~ pp(aa_TPTP_ind_bool(X1,scratc954648526ptyset)) ) ),
    inference(ennf_transformation,[],[f111]) ).

fof(f294,plain,
    ! [X0] :
      ( pp(aa_TPTP_ind_bool(scratc1352903720_nat_p,X0))
    <=> ! [X1] :
          ( pp(aa_TPTP_ind_bool(X1,X0))
          | ? [X2] :
              ( ~ pp(aa_TPTP_ind_bool(X1,aa_TPTP_ind_TPTP_ind(scratc1108832938rdsucc,X2)))
              & pp(aa_TPTP_ind_bool(X1,X2))
              & gg_TPTP_ind(X2) )
          | ~ pp(aa_TPTP_ind_bool(X1,scratc954648526ptyset)) ) ),
    inference(flattening,[],[f293]) ).

fof(f305,plain,
    ! [X0,X1] :
      ( pp(aa_fun171081125l_bool(scratc2026207007all_of(X0),X1))
    <=> ! [X2] :
          ( pp(aa_TPTP_ind_bool(X1,X2))
          | ~ scratc1466259514_is_of(X2,X0)
          | ~ gg_TPTP_ind(X2) ) ),
    inference(ennf_transformation,[],[f129]) ).

fof(f306,plain,
    ! [X0,X1] :
      ( pp(aa_fun171081125l_bool(scratc2026207007all_of(X0),X1))
    <=> ! [X2] :
          ( pp(aa_TPTP_ind_bool(X1,X2))
          | ~ scratc1466259514_is_of(X2,X0)
          | ~ gg_TPTP_ind(X2) ) ),
    inference(flattening,[],[f305]) ).

fof(f332,plain,
    ! [X0] :
      ( pp(aa_TPTP_ind_bool(scratc1352903720_nat_p,X0))
      | ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc908175294bnd_in,X0),scratc1208035240_omega)) ),
    inference(ennf_transformation,[],[f172]) ).

fof(f338,plain,
    ! [X0,X1] :
      ( X0 = X1
      | aa_TPTP_ind_TPTP_ind(scratc1108832938rdsucc,X0) != aa_TPTP_ind_TPTP_ind(scratc1108832938rdsucc,X1)
      | ~ gg_TPTP_ind(X0)
      | ~ gg_TPTP_ind(X1) ),
    inference(ennf_transformation,[],[f178]) ).

fof(f339,plain,
    ! [X0,X1] :
      ( X0 = X1
      | aa_TPTP_ind_TPTP_ind(scratc1108832938rdsucc,X0) != aa_TPTP_ind_TPTP_ind(scratc1108832938rdsucc,X1)
      | ~ gg_TPTP_ind(X0)
      | ~ gg_TPTP_ind(X1) ),
    inference(flattening,[],[f338]) ).

fof(f341,plain,
    ! [X0,X1,X2] :
      ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc908175294bnd_in,X2),X0))
      | ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc908175294bnd_in,X2),aa_fun1431113780TP_ind(scratc337463667_d_Sep(X0),X1))) ),
    inference(ennf_transformation,[],[f181]) ).

fof(f388,plain,
    ! [X0,X1] :
      ( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(fequal_TPTP_ind,X0),X1))
      | X0 = X1
      | ~ gg_TPTP_ind(X0)
      | ~ gg_TPTP_ind(X1) ),
    inference(ennf_transformation,[],[f282]) ).

fof(f389,plain,
    ! [X0,X1] :
      ( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(fequal_TPTP_ind,X0),X1))
      | X0 = X1
      | ~ gg_TPTP_ind(X0)
      | ~ gg_TPTP_ind(X1) ),
    inference(flattening,[],[f388]) ).

fof(f390,plain,
    ! [X0] :
      ( ( pp(aa_TPTP_ind_bool(scratc20619203_prop1,X0))
        | ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc2088211583nd_nis,aa_TPTP_ind_TPTP_ind(scratc1108832938rdsucc,X0)),X0)) )
      & ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc2088211583nd_nis,aa_TPTP_ind_TPTP_ind(scratc1108832938rdsucc,X0)),X0))
        | ~ pp(aa_TPTP_ind_bool(scratc20619203_prop1,X0)) ) ),
    inference(nnf_transformation,[],[f25]) ).

fof(f392,plain,
    ! [X0,X1] :
      ( ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc2088211583nd_nis,X0),X1))
        | ~ pp(scratc561180296_d_not(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1975714239d_n_is,X0),X1))) )
      & ( pp(scratc561180296_d_not(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1975714239d_n_is,X0),X1)))
        | ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc2088211583nd_nis,X0),X1)) ) ),
    inference(nnf_transformation,[],[f34]) ).

fof(f418,plain,
    ! [X0] :
      ( ( pp(scratc561180296_d_not(X0))
        | ~ pp(aa_bool_bool(aa_boo1142376798l_bool(scratc2047166451nd_imp,X0),fFalse)) )
      & ( pp(aa_bool_bool(aa_boo1142376798l_bool(scratc2047166451nd_imp,X0),fFalse))
        | ~ pp(scratc561180296_d_not(X0)) ) ),
    inference(nnf_transformation,[],[f97]) ).

fof(f420,plain,
    ! [X0] :
      ( ( pp(aa_TPTP_ind_bool(scratc1352903720_nat_p,X0))
        | ? [X1] :
            ( ~ pp(aa_TPTP_ind_bool(X1,X0))
            & ! [X2] :
                ( pp(aa_TPTP_ind_bool(X1,aa_TPTP_ind_TPTP_ind(scratc1108832938rdsucc,X2)))
                | ~ pp(aa_TPTP_ind_bool(X1,X2))
                | ~ gg_TPTP_ind(X2) )
            & pp(aa_TPTP_ind_bool(X1,scratc954648526ptyset)) ) )
      & ( ! [X1] :
            ( pp(aa_TPTP_ind_bool(X1,X0))
            | ? [X2] :
                ( ~ pp(aa_TPTP_ind_bool(X1,aa_TPTP_ind_TPTP_ind(scratc1108832938rdsucc,X2)))
                & pp(aa_TPTP_ind_bool(X1,X2))
                & gg_TPTP_ind(X2) )
            | ~ pp(aa_TPTP_ind_bool(X1,scratc954648526ptyset)) )
        | ~ pp(aa_TPTP_ind_bool(scratc1352903720_nat_p,X0)) ) ),
    inference(nnf_transformation,[],[f294]) ).

fof(f421,plain,
    ! [X0] :
      ( ( pp(aa_TPTP_ind_bool(scratc1352903720_nat_p,X0))
        | ? [X1] :
            ( ~ pp(aa_TPTP_ind_bool(X1,X0))
            & ! [X2] :
                ( pp(aa_TPTP_ind_bool(X1,aa_TPTP_ind_TPTP_ind(scratc1108832938rdsucc,X2)))
                | ~ pp(aa_TPTP_ind_bool(X1,X2))
                | ~ gg_TPTP_ind(X2) )
            & pp(aa_TPTP_ind_bool(X1,scratc954648526ptyset)) ) )
      & ( ! [X3] :
            ( pp(aa_TPTP_ind_bool(X3,X0))
            | ? [X4] :
                ( ~ pp(aa_TPTP_ind_bool(X3,aa_TPTP_ind_TPTP_ind(scratc1108832938rdsucc,X4)))
                & pp(aa_TPTP_ind_bool(X3,X4))
                & gg_TPTP_ind(X4) )
            | ~ pp(aa_TPTP_ind_bool(X3,scratc954648526ptyset)) )
        | ~ pp(aa_TPTP_ind_bool(scratc1352903720_nat_p,X0)) ) ),
    inference(rectify,[],[f420]) ).

fof(f422,plain,
    ! [X0] :
      ( ( pp(aa_TPTP_ind_bool(scratc1352903720_nat_p,X0))
        | ( ~ pp(aa_TPTP_ind_bool(sK0(X0),X0))
          & ! [X2] :
              ( pp(aa_TPTP_ind_bool(sK0(X0),aa_TPTP_ind_TPTP_ind(scratc1108832938rdsucc,X2)))
              | ~ pp(aa_TPTP_ind_bool(sK0(X0),X2))
              | ~ gg_TPTP_ind(X2) )
          & pp(aa_TPTP_ind_bool(sK0(X0),scratc954648526ptyset)) ) )
      & ( ! [X3] :
            ( pp(aa_TPTP_ind_bool(X3,X0))
            | ( ~ pp(aa_TPTP_ind_bool(X3,aa_TPTP_ind_TPTP_ind(scratc1108832938rdsucc,sK1(X3))))
              & pp(aa_TPTP_ind_bool(X3,sK1(X3)))
              & gg_TPTP_ind(sK1(X3)) )
            | ~ pp(aa_TPTP_ind_bool(X3,scratc954648526ptyset)) )
        | ~ pp(aa_TPTP_ind_bool(scratc1352903720_nat_p,X0)) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1]),skolemize(X1,sK0(X0)),skolemize(X4,sK1(X3))],[f421]) ).

fof(f441,plain,
    ! [X0,X1] :
      ( ( pp(aa_fun171081125l_bool(scratc2026207007all_of(X0),X1))
        | ? [X2] :
            ( ~ pp(aa_TPTP_ind_bool(X1,X2))
            & scratc1466259514_is_of(X2,X0)
            & gg_TPTP_ind(X2) ) )
      & ( ! [X2] :
            ( pp(aa_TPTP_ind_bool(X1,X2))
            | ~ scratc1466259514_is_of(X2,X0)
            | ~ gg_TPTP_ind(X2) )
        | ~ pp(aa_fun171081125l_bool(scratc2026207007all_of(X0),X1)) ) ),
    inference(nnf_transformation,[],[f306]) ).

fof(f442,plain,
    ! [X0,X1] :
      ( ( pp(aa_fun171081125l_bool(scratc2026207007all_of(X0),X1))
        | ? [X2] :
            ( ~ pp(aa_TPTP_ind_bool(X1,X2))
            & scratc1466259514_is_of(X2,X0)
            & gg_TPTP_ind(X2) ) )
      & ( ! [X3] :
            ( pp(aa_TPTP_ind_bool(X1,X3))
            | ~ scratc1466259514_is_of(X3,X0)
            | ~ gg_TPTP_ind(X3) )
        | ~ pp(aa_fun171081125l_bool(scratc2026207007all_of(X0),X1)) ) ),
    inference(rectify,[],[f441]) ).

fof(f443,plain,
    ! [X0,X1] :
      ( ( pp(aa_fun171081125l_bool(scratc2026207007all_of(X0),X1))
        | ( ~ pp(aa_TPTP_ind_bool(X1,sK12(X0,X1)))
          & scratc1466259514_is_of(sK12(X0,X1),X0)
          & gg_TPTP_ind(sK12(X0,X1)) ) )
      & ( ! [X3] :
            ( pp(aa_TPTP_ind_bool(X1,X3))
            | ~ scratc1466259514_is_of(X3,X0)
            | ~ gg_TPTP_ind(X3) )
        | ~ pp(aa_fun171081125l_bool(scratc2026207007all_of(X0),X1)) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK12]),skolemize(X2,sK12(X0,X1))],[f442]) ).

fof(f444,plain,
    ! [X0,X1] :
      ( ( scratc1466259514_is_of(X0,X1)
        | ~ pp(aa_TPTP_ind_bool(X1,X0)) )
      & ( pp(aa_TPTP_ind_bool(X1,X0))
        | ~ scratc1466259514_is_of(X0,X1) ) ),
    inference(nnf_transformation,[],[f130]) ).

fof(f462,plain,
    ! [X0] :
      ( ( pp(aa_TPTP_ind_bool(aTP_Lamm_aa,X0))
        | ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc2088211583nd_nis,aa_TPTP_ind_TPTP_ind(scratc1108832938rdsucc,X0)),X0)) )
      & ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc2088211583nd_nis,aa_TPTP_ind_TPTP_ind(scratc1108832938rdsucc,X0)),X0))
        | ~ pp(aa_TPTP_ind_bool(aTP_Lamm_aa,X0)) ) ),
    inference(nnf_transformation,[],[f199]) ).

fof(f466,plain,
    ! [X0] :
      ( ( pp(aa_TPTP_ind_bool(aTP_Lamm_a,X0))
        | ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc908175294bnd_in,X0),scratc2087686792nd_nat)) )
      & ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc908175294bnd_in,X0),scratc2087686792nd_nat))
        | ~ pp(aa_TPTP_ind_bool(aTP_Lamm_a,X0)) ) ),
    inference(nnf_transformation,[],[f203]) ).

fof(f552,plain,
    gg_TPTP_ind(scratc954648526ptyset),
    inference(cnf_transformation,[],[f8]) ).

fof(f562,plain,
    ! [X0,X1] : gg_TPTP_ind(aa_TPTP_ind_TPTP_ind(X0,X1)),
    inference(cnf_transformation,[],[f18]) ).

fof(f569,plain,
    ! [X0] :
      ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc2088211583nd_nis,aa_TPTP_ind_TPTP_ind(scratc1108832938rdsucc,X0)),X0))
      | ~ pp(aa_TPTP_ind_bool(scratc20619203_prop1,X0)) ),
    inference(cnf_transformation,[],[f390]) ).

fof(f570,plain,
    ! [X0] :
      ( pp(aa_TPTP_ind_bool(scratc20619203_prop1,X0))
      | ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc2088211583nd_nis,aa_TPTP_ind_TPTP_ind(scratc1108832938rdsucc,X0)),X0)) ),
    inference(cnf_transformation,[],[f390]) ).

fof(f575,plain,
    scratc820767612nd_n_1 = aa_TPTP_ind_TPTP_ind(scratc1108832938rdsucc,scratc954648526ptyset),
    inference(cnf_transformation,[],[f29]) ).

fof(f581,plain,
    ! [X0,X1] :
      ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc2088211583nd_nis,X0),X1))
      | ~ pp(scratc561180296_d_not(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1975714239d_n_is,X0),X1))) ),
    inference(cnf_transformation,[],[f392]) ).

fof(f582,plain,
    scratc1975714239d_n_is = scratc309570230d_e_is(scratc2087686792nd_nat),
    inference(cnf_transformation,[],[f35]) ).

fof(f583,plain,
    scratc2087686792nd_nat = aa_fun1431113780TP_ind(scratc337463667_d_Sep(scratc1208035240_omega),aTP_Lamm_ac),
    inference(cnf_transformation,[],[f36]) ).

fof(f646,plain,
    ! [X0] : scratc309570230d_e_is(X0) = fequal_TPTP_ind,
    inference(cnf_transformation,[],[f82]) ).

fof(f665,plain,
    ! [X0] :
      ( pp(scratc561180296_d_not(X0))
      | ~ pp(aa_bool_bool(aa_boo1142376798l_bool(scratc2047166451nd_imp,X0),fFalse)) ),
    inference(cnf_transformation,[],[f418]) ).

fof(f666,plain,
    scratc2047166451nd_imp = fimplies,
    inference(cnf_transformation,[],[f98]) ).

fof(f680,plain,
    ! [X3,X0] :
      ( pp(aa_TPTP_ind_bool(X3,X0))
      | gg_TPTP_ind(sK1(X3))
      | ~ pp(aa_TPTP_ind_bool(X3,scratc954648526ptyset))
      | ~ pp(aa_TPTP_ind_bool(scratc1352903720_nat_p,X0)) ),
    inference(cnf_transformation,[],[f422]) ).

fof(f681,plain,
    ! [X3,X0] :
      ( pp(aa_TPTP_ind_bool(X3,X0))
      | pp(aa_TPTP_ind_bool(X3,sK1(X3)))
      | ~ pp(aa_TPTP_ind_bool(X3,scratc954648526ptyset))
      | ~ pp(aa_TPTP_ind_bool(scratc1352903720_nat_p,X0)) ),
    inference(cnf_transformation,[],[f422]) ).

fof(f682,plain,
    ! [X3,X0] :
      ( pp(aa_TPTP_ind_bool(X3,X0))
      | ~ pp(aa_TPTP_ind_bool(X3,aa_TPTP_ind_TPTP_ind(scratc1108832938rdsucc,sK1(X3))))
      | ~ pp(aa_TPTP_ind_bool(X3,scratc954648526ptyset))
      | ~ pp(aa_TPTP_ind_bool(scratc1352903720_nat_p,X0)) ),
    inference(cnf_transformation,[],[f422]) ).

fof(f730,plain,
    ! [X0,X1] :
      ( pp(aa_fun171081125l_bool(scratc2026207007all_of(X0),X1))
      | scratc1466259514_is_of(sK12(X0,X1),X0) ),
    inference(cnf_transformation,[],[f443]) ).

fof(f731,plain,
    ! [X0,X1] :
      ( pp(aa_fun171081125l_bool(scratc2026207007all_of(X0),X1))
      | ~ pp(aa_TPTP_ind_bool(X1,sK12(X0,X1))) ),
    inference(cnf_transformation,[],[f443]) ).

fof(f732,plain,
    ! [X0,X1] :
      ( pp(aa_TPTP_ind_bool(X1,X0))
      | ~ scratc1466259514_is_of(X0,X1) ),
    inference(cnf_transformation,[],[f444]) ).

fof(f784,plain,
    ! [X0] :
      ( pp(aa_TPTP_ind_bool(scratc1352903720_nat_p,X0))
      | ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc908175294bnd_in,X0),scratc1208035240_omega)) ),
    inference(cnf_transformation,[],[f332]) ).

fof(f795,plain,
    ! [X0,X1] :
      ( X0 = X1
      | aa_TPTP_ind_TPTP_ind(scratc1108832938rdsucc,X0) != aa_TPTP_ind_TPTP_ind(scratc1108832938rdsucc,X1)
      | ~ gg_TPTP_ind(X0)
      | ~ gg_TPTP_ind(X1) ),
    inference(cnf_transformation,[],[f339]) ).

fof(f796,plain,
    ! [X0] : scratc954648526ptyset != aa_TPTP_ind_TPTP_ind(scratc1108832938rdsucc,X0),
    inference(cnf_transformation,[],[f179]) ).

fof(f798,plain,
    ! [X2,X0,X1] :
      ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc908175294bnd_in,X2),X0))
      | ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc908175294bnd_in,X2),aa_fun1431113780TP_ind(scratc337463667_d_Sep(X0),X1))) ),
    inference(cnf_transformation,[],[f341]) ).

fof(f832,plain,
    ! [X0] :
      ( pp(aa_TPTP_ind_bool(aTP_Lamm_aa,X0))
      | ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc2088211583nd_nis,aa_TPTP_ind_TPTP_ind(scratc1108832938rdsucc,X0)),X0)) ),
    inference(cnf_transformation,[],[f462]) ).

fof(f839,plain,
    ! [X0] :
      ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc908175294bnd_in,X0),scratc2087686792nd_nat))
      | ~ pp(aa_TPTP_ind_bool(aTP_Lamm_a,X0)) ),
    inference(cnf_transformation,[],[f466]) ).

fof(f998,plain,
    ! [X0,X1] :
      ( pp(X0)
      | pp(aa_bool_bool(aa_boo1142376798l_bool(fimplies,X0),X1)) ),
    inference(cnf_transformation,[],[f279]) ).

fof(f1001,plain,
    ! [X0,X1] :
      ( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(fequal_TPTP_ind,X0),X1))
      | X0 = X1
      | ~ gg_TPTP_ind(X0)
      | ~ gg_TPTP_ind(X1) ),
    inference(cnf_transformation,[],[f389]) ).

fof(f1005,plain,
    ~ pp(aa_fun171081125l_bool(scratc2026207007all_of(aTP_Lamm_a),aTP_Lamm_aa)),
    inference(cnf_transformation,[],[f288]) ).

fof(f1013,plain,
    scratc1975714239d_n_is = fequal_TPTP_ind,
    inference(definition_unfolding,[],[f582,f646]) ).

fof(f1040,plain,
    ! [X0] :
      ( pp(scratc561180296_d_not(X0))
      | ~ pp(aa_bool_bool(aa_boo1142376798l_bool(fimplies,X0),fFalse)) ),
    inference(definition_unfolding,[],[f665,f666]) ).

fof(f1110,plain,
    ~ gg_TPTP_ind(scratc954648526ptyset),
    inference(consistent_polarity_flipping,[],[f552]) ).

fof(f1120,plain,
    ! [X0,X1] : ~ gg_TPTP_ind(aa_TPTP_ind_TPTP_ind(X0,X1)),
    inference(consistent_polarity_flipping,[],[f562]) ).

fof(f1127,plain,
    ! [X0] :
      ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc2088211583nd_nis,aa_TPTP_ind_TPTP_ind(scratc1108832938rdsucc,X0)),X0))
      | ~ pp(aa_TPTP_ind_bool(scratc20619203_prop1,X0)) ),
    inference(consistent_polarity_flipping,[],[f570]) ).

fof(f1128,plain,
    ! [X0] :
      ( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc2088211583nd_nis,aa_TPTP_ind_TPTP_ind(scratc1108832938rdsucc,X0)),X0))
      | pp(aa_TPTP_ind_bool(scratc20619203_prop1,X0)) ),
    inference(consistent_polarity_flipping,[],[f569]) ).

fof(f1131,plain,
    ! [X0,X1] :
      ( pp(scratc561180296_d_not(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1975714239d_n_is,X0),X1)))
      | ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc2088211583nd_nis,X0),X1)) ),
    inference(consistent_polarity_flipping,[],[f581]) ).

fof(f1185,plain,
    ! [X0] :
      ( pp(aa_bool_bool(aa_boo1142376798l_bool(fimplies,X0),fFalse))
      | ~ pp(scratc561180296_d_not(X0)) ),
    inference(consistent_polarity_flipping,[],[f1040]) ).

fof(f1192,plain,
    ! [X3,X0] :
      ( pp(aa_TPTP_ind_bool(scratc1352903720_nat_p,X0))
      | pp(aa_TPTP_ind_bool(X3,aa_TPTP_ind_TPTP_ind(scratc1108832938rdsucc,sK1(X3))))
      | pp(aa_TPTP_ind_bool(X3,scratc954648526ptyset))
      | ~ pp(aa_TPTP_ind_bool(X3,X0)) ),
    inference(consistent_polarity_flipping,[],[f682]) ).

fof(f1193,plain,
    ! [X3,X0] :
      ( pp(aa_TPTP_ind_bool(scratc1352903720_nat_p,X0))
      | ~ pp(aa_TPTP_ind_bool(X3,sK1(X3)))
      | pp(aa_TPTP_ind_bool(X3,scratc954648526ptyset))
      | ~ pp(aa_TPTP_ind_bool(X3,X0)) ),
    inference(consistent_polarity_flipping,[],[f681]) ).

fof(f1194,plain,
    ! [X3,X0] :
      ( ~ gg_TPTP_ind(sK1(X3))
      | ~ pp(aa_TPTP_ind_bool(X3,X0))
      | pp(aa_TPTP_ind_bool(X3,scratc954648526ptyset))
      | pp(aa_TPTP_ind_bool(scratc1352903720_nat_p,X0)) ),
    inference(consistent_polarity_flipping,[],[f680]) ).

fof(f1227,plain,
    ! [X0,X1] :
      ( ~ pp(aa_fun171081125l_bool(scratc2026207007all_of(X0),X1))
      | pp(aa_TPTP_ind_bool(X1,sK12(X0,X1))) ),
    inference(consistent_polarity_flipping,[],[f731]) ).

fof(f1228,plain,
    ! [X0,X1] :
      ( scratc1466259514_is_of(sK12(X0,X1),X0)
      | ~ pp(aa_fun171081125l_bool(scratc2026207007all_of(X0),X1)) ),
    inference(consistent_polarity_flipping,[],[f730]) ).

fof(f1232,plain,
    ! [X0,X1] :
      ( ~ scratc1466259514_is_of(X0,X1)
      | ~ pp(aa_TPTP_ind_bool(X1,X0)) ),
    inference(consistent_polarity_flipping,[],[f732]) ).

fof(f1280,plain,
    ! [X0] :
      ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc908175294bnd_in,X0),scratc1208035240_omega))
      | ~ pp(aa_TPTP_ind_bool(scratc1352903720_nat_p,X0)) ),
    inference(consistent_polarity_flipping,[],[f784]) ).

fof(f1291,plain,
    ! [X0,X1] :
      ( aa_TPTP_ind_TPTP_ind(scratc1108832938rdsucc,X0) != aa_TPTP_ind_TPTP_ind(scratc1108832938rdsucc,X1)
      | X0 = X1
      | gg_TPTP_ind(X0)
      | gg_TPTP_ind(X1) ),
    inference(consistent_polarity_flipping,[],[f795]) ).

fof(f1293,plain,
    ! [X2,X0,X1] :
      ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc908175294bnd_in,X2),aa_fun1431113780TP_ind(scratc337463667_d_Sep(X0),X1)))
      | ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc908175294bnd_in,X2),X0)) ),
    inference(consistent_polarity_flipping,[],[f798]) ).

fof(f1326,plain,
    ! [X0] :
      ( ~ pp(aa_TPTP_ind_bool(aTP_Lamm_aa,X0))
      | pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc2088211583nd_nis,aa_TPTP_ind_TPTP_ind(scratc1108832938rdsucc,X0)),X0)) ),
    inference(consistent_polarity_flipping,[],[f832]) ).

fof(f1335,plain,
    ! [X0] :
      ( pp(aa_TPTP_ind_bool(aTP_Lamm_a,X0))
      | ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc908175294bnd_in,X0),scratc2087686792nd_nat)) ),
    inference(consistent_polarity_flipping,[],[f839]) ).

fof(f1484,plain,
    ! [X0,X1] :
      ( ~ pp(aa_bool_bool(aa_boo1142376798l_bool(fimplies,X0),X1))
      | ~ pp(X0) ),
    inference(consistent_polarity_flipping,[],[f998]) ).

fof(f1487,plain,
    ! [X0,X1] :
      ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(fequal_TPTP_ind,X0),X1))
      | X0 = X1
      | gg_TPTP_ind(X0)
      | gg_TPTP_ind(X1) ),
    inference(consistent_polarity_flipping,[],[f1001]) ).

fof(f1488,plain,
    pp(aa_fun171081125l_bool(scratc2026207007all_of(aTP_Lamm_a),aTP_Lamm_aa)),
    inference(consistent_polarity_flipping,[],[f1005]) ).

fof(f1491,plain,
    pp(aa_TPTP_ind_bool(aTP_Lamm_aa,sK12(aTP_Lamm_a,aTP_Lamm_aa))),
    inference(resolution,[],[f1488,f1227]) ).

fof(f4104,plain,
    ! [X0,X1] :
      ( pp(scratc561180296_d_not(aa_TPTP_ind_bool(aa_TPT43085870d_bool(fequal_TPTP_ind,X0),X1)))
      | ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc2088211583nd_nis,X0),X1)) ),
    inference(forward_demodulation,[],[f1131,f1013]) ).

fof(f4200,plain,
    ! [X0] :
      ( ~ pp(scratc561180296_d_not(X0))
      | ~ pp(X0) ),
    inference(resolution,[],[f1185,f1484]) ).

fof(f4290,plain,
    ! [X0,X1] :
      ( ~ pp(aa_fun171081125l_bool(scratc2026207007all_of(X0),X1))
      | ~ pp(aa_TPTP_ind_bool(X0,sK12(X0,X1))) ),
    inference(resolution,[],[f1228,f1232]) ).

fof(f4462,plain,
    ~ pp(aa_TPTP_ind_bool(aTP_Lamm_a,sK12(aTP_Lamm_a,aTP_Lamm_aa))),
    inference(resolution,[],[f4290,f1488]) ).

fof(f4466,plain,
    ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc2088211583nd_nis,scratc820767612nd_n_1),scratc954648526ptyset))
    | ~ pp(aa_TPTP_ind_bool(scratc20619203_prop1,scratc954648526ptyset)) ),
    inference(superposition,[],[f1127,f575]) ).

fof(f4484,definition,
    ( spl25_71
  <=> pp(aa_TPTP_ind_bool(scratc20619203_prop1,scratc954648526ptyset)) ),
    introduced(definition,[new_symbols(definition,[spl25_71])],[avatar_definition]) ).

fof(f4485,plain,
    ( ~ pp(aa_TPTP_ind_bool(scratc20619203_prop1,scratc954648526ptyset))
    | spl25_71 ),
    inference(avatar_component_clause,[],[f4484]) ).

fof(f4487,definition,
    ( spl25_72
  <=> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc2088211583nd_nis,scratc820767612nd_n_1),scratc954648526ptyset)) ),
    introduced(definition,[new_symbols(definition,[spl25_72])],[avatar_definition]) ).

fof(f4488,plain,
    ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc2088211583nd_nis,scratc820767612nd_n_1),scratc954648526ptyset))
    | ~ spl25_72 ),
    inference(avatar_component_clause,[],[f4487]) ).

fof(f4489,plain,
    ( ~ spl25_71
    | spl25_72 ),
    inference(avatar_split_clause,[],[f4466,f4487,f4484]) ).

fof(f4498,plain,
    ( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc2088211583nd_nis,scratc820767612nd_n_1),scratc954648526ptyset))
    | pp(aa_TPTP_ind_bool(scratc20619203_prop1,scratc954648526ptyset)) ),
    inference(superposition,[],[f1128,f575]) ).

fof(f4503,plain,
    ( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc2088211583nd_nis,scratc820767612nd_n_1),scratc954648526ptyset))
    | spl25_71 ),
    inference(forward_subsumption_resolution,[],[f4498,f4485]) ).

fof(f4644,plain,
    ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc908175294bnd_in,sK12(aTP_Lamm_a,aTP_Lamm_aa)),scratc2087686792nd_nat)),
    inference(resolution,[],[f1335,f4462]) ).

fof(f4768,plain,
    ! [X0,X1] :
      ( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(fequal_TPTP_ind,X0),X1))
      | ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc2088211583nd_nis,X0),X1)) ),
    inference(resolution,[],[f4104,f4200]) ).

fof(f4771,plain,
    ! [X0,X1] :
      ( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc2088211583nd_nis,X0),X1))
      | X0 = X1
      | gg_TPTP_ind(X0)
      | gg_TPTP_ind(X1) ),
    inference(resolution,[],[f4768,f1487]) ).

fof(f4833,plain,
    ! [X0] :
      ( aa_TPTP_ind_TPTP_ind(scratc1108832938rdsucc,X0) = X0
      | gg_TPTP_ind(aa_TPTP_ind_TPTP_ind(scratc1108832938rdsucc,X0))
      | gg_TPTP_ind(X0)
      | ~ pp(aa_TPTP_ind_bool(scratc20619203_prop1,X0)) ),
    inference(resolution,[],[f4771,f1127]) ).

fof(f4844,plain,
    ! [X0] :
      ( ~ pp(aa_TPTP_ind_bool(scratc20619203_prop1,X0))
      | gg_TPTP_ind(X0)
      | aa_TPTP_ind_TPTP_ind(scratc1108832938rdsucc,X0) = X0 ),
    inference(forward_subsumption_resolution,[],[f4833,f1120]) ).

fof(f5089,definition,
    ( spl25_97
  <=> pp(aa_TPTP_ind_bool(scratc1352903720_nat_p,sK12(aTP_Lamm_a,aTP_Lamm_aa))) ),
    introduced(definition,[new_symbols(definition,[spl25_97])],[avatar_definition]) ).

fof(f5090,plain,
    ( ~ pp(aa_TPTP_ind_bool(scratc1352903720_nat_p,sK12(aTP_Lamm_a,aTP_Lamm_aa)))
    | spl25_97 ),
    inference(avatar_component_clause,[],[f5089]) ).

fof(f5791,plain,
    ! [X0] :
      ( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc908175294bnd_in,X0),scratc1208035240_omega))
      | pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc908175294bnd_in,X0),scratc2087686792nd_nat)) ),
    inference(superposition,[],[f1293,f583]) ).

fof(f5797,plain,
    ! [X0] :
      ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc908175294bnd_in,X0),scratc2087686792nd_nat))
      | ~ pp(aa_TPTP_ind_bool(scratc1352903720_nat_p,X0)) ),
    inference(resolution,[],[f5791,f1280]) ).

fof(f5800,plain,
    ~ pp(aa_TPTP_ind_bool(scratc1352903720_nat_p,sK12(aTP_Lamm_a,aTP_Lamm_aa))),
    inference(resolution,[],[f5797,f4644]) ).

fof(f5805,plain,
    ~ spl25_97,
    inference(avatar_split_clause,[],[f5800,f5089]) ).

fof(f7091,plain,
    ( ! [X0] :
        ( ~ pp(aa_TPTP_ind_bool(X0,sK1(X0)))
        | pp(aa_TPTP_ind_bool(X0,scratc954648526ptyset))
        | ~ pp(aa_TPTP_ind_bool(X0,sK12(aTP_Lamm_a,aTP_Lamm_aa))) )
    | spl25_97 ),
    inference(resolution,[],[f1193,f5090]) ).

fof(f7231,definition,
    ( spl25_207
  <=> pp(aa_TPTP_ind_bool(aTP_Lamm_aa,scratc954648526ptyset)) ),
    introduced(definition,[new_symbols(definition,[spl25_207])],[avatar_definition]) ).

fof(f7232,plain,
    ( pp(aa_TPTP_ind_bool(aTP_Lamm_aa,scratc954648526ptyset))
    | ~ spl25_207 ),
    inference(avatar_component_clause,[],[f7231]) ).

fof(f7801,plain,
    ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc2088211583nd_nis,aa_TPTP_ind_TPTP_ind(scratc1108832938rdsucc,scratc954648526ptyset)),scratc954648526ptyset))
    | ~ spl25_207 ),
    inference(resolution,[],[f7232,f1326]) ).

fof(f7802,plain,
    ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc2088211583nd_nis,scratc820767612nd_n_1),scratc954648526ptyset))
    | ~ spl25_207 ),
    inference(forward_demodulation,[],[f7801,f575]) ).

fof(f7803,plain,
    ( $false
    | spl25_71
    | ~ spl25_207 ),
    inference(forward_subsumption_resolution,[],[f7802,f4503]) ).

fof(f7804,plain,
    ( spl25_71
    | ~ spl25_207 ),
    inference(avatar_contradiction_clause,[],[f7803]) ).

fof(f7805,plain,
    ( pp(aa_TPTP_ind_bool(scratc20619203_prop1,scratc954648526ptyset))
    | ~ spl25_72 ),
    inference(forward_subsumption_resolution,[],[f4498,f4488]) ).

fof(f7887,plain,
    ( gg_TPTP_ind(scratc954648526ptyset)
    | scratc954648526ptyset = aa_TPTP_ind_TPTP_ind(scratc1108832938rdsucc,scratc954648526ptyset)
    | ~ spl25_72 ),
    inference(resolution,[],[f7805,f4844]) ).

fof(f7888,plain,
    ( scratc954648526ptyset = aa_TPTP_ind_TPTP_ind(scratc1108832938rdsucc,scratc954648526ptyset)
    | ~ spl25_72 ),
    inference(forward_subsumption_resolution,[],[f7887,f1110]) ).

fof(f7889,plain,
    ( $false
    | ~ spl25_72 ),
    inference(forward_subsumption_resolution,[],[f7888,f796]) ).

fof(f7890,plain,
    ~ spl25_72,
    inference(avatar_contradiction_clause,[],[f7889]) ).

fof(f11208,plain,
    ( ! [X0] :
        ( pp(aa_TPTP_ind_bool(X0,aa_TPTP_ind_TPTP_ind(scratc1108832938rdsucc,sK1(X0))))
        | pp(aa_TPTP_ind_bool(X0,scratc954648526ptyset))
        | ~ pp(aa_TPTP_ind_bool(X0,sK12(aTP_Lamm_a,aTP_Lamm_aa))) )
    | spl25_97 ),
    inference(resolution,[],[f5090,f1192]) ).

fof(f13117,plain,
    ( pp(aa_TPTP_ind_bool(aTP_Lamm_aa,scratc954648526ptyset))
    | ~ pp(aa_TPTP_ind_bool(aTP_Lamm_aa,sK12(aTP_Lamm_a,aTP_Lamm_aa)))
    | pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc2088211583nd_nis,aa_TPTP_ind_TPTP_ind(scratc1108832938rdsucc,aa_TPTP_ind_TPTP_ind(scratc1108832938rdsucc,sK1(aTP_Lamm_aa)))),aa_TPTP_ind_TPTP_ind(scratc1108832938rdsucc,sK1(aTP_Lamm_aa))))
    | spl25_97 ),
    inference(resolution,[],[f11208,f1326]) ).

fof(f13120,plain,
    ( pp(aa_TPTP_ind_bool(aTP_Lamm_aa,scratc954648526ptyset))
    | pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc2088211583nd_nis,aa_TPTP_ind_TPTP_ind(scratc1108832938rdsucc,aa_TPTP_ind_TPTP_ind(scratc1108832938rdsucc,sK1(aTP_Lamm_aa)))),aa_TPTP_ind_TPTP_ind(scratc1108832938rdsucc,sK1(aTP_Lamm_aa))))
    | spl25_97 ),
    inference(forward_subsumption_resolution,[],[f13117,f1491]) ).

fof(f13145,definition,
    ( spl25_614
  <=> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc2088211583nd_nis,aa_TPTP_ind_TPTP_ind(scratc1108832938rdsucc,aa_TPTP_ind_TPTP_ind(scratc1108832938rdsucc,sK1(aTP_Lamm_aa)))),aa_TPTP_ind_TPTP_ind(scratc1108832938rdsucc,sK1(aTP_Lamm_aa)))) ),
    introduced(definition,[new_symbols(definition,[spl25_614])],[avatar_definition]) ).

fof(f13146,plain,
    ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc2088211583nd_nis,aa_TPTP_ind_TPTP_ind(scratc1108832938rdsucc,aa_TPTP_ind_TPTP_ind(scratc1108832938rdsucc,sK1(aTP_Lamm_aa)))),aa_TPTP_ind_TPTP_ind(scratc1108832938rdsucc,sK1(aTP_Lamm_aa))))
    | ~ spl25_614 ),
    inference(avatar_component_clause,[],[f13145]) ).

fof(f13147,plain,
    ( spl25_614
    | spl25_207
    | spl25_97 ),
    inference(avatar_split_clause,[],[f13120,f5089,f7231,f13145]) ).

fof(f13225,plain,
    ( aa_TPTP_ind_TPTP_ind(scratc1108832938rdsucc,sK1(aTP_Lamm_aa)) = aa_TPTP_ind_TPTP_ind(scratc1108832938rdsucc,aa_TPTP_ind_TPTP_ind(scratc1108832938rdsucc,sK1(aTP_Lamm_aa)))
    | gg_TPTP_ind(aa_TPTP_ind_TPTP_ind(scratc1108832938rdsucc,aa_TPTP_ind_TPTP_ind(scratc1108832938rdsucc,sK1(aTP_Lamm_aa))))
    | gg_TPTP_ind(aa_TPTP_ind_TPTP_ind(scratc1108832938rdsucc,sK1(aTP_Lamm_aa)))
    | ~ spl25_614 ),
    inference(resolution,[],[f13146,f4771]) ).

fof(f13226,plain,
    ( aa_TPTP_ind_TPTP_ind(scratc1108832938rdsucc,sK1(aTP_Lamm_aa)) = aa_TPTP_ind_TPTP_ind(scratc1108832938rdsucc,aa_TPTP_ind_TPTP_ind(scratc1108832938rdsucc,sK1(aTP_Lamm_aa)))
    | gg_TPTP_ind(aa_TPTP_ind_TPTP_ind(scratc1108832938rdsucc,aa_TPTP_ind_TPTP_ind(scratc1108832938rdsucc,sK1(aTP_Lamm_aa))))
    | ~ spl25_614 ),
    inference(forward_subsumption_resolution,[],[f13225,f1120]) ).

fof(f13227,plain,
    ( aa_TPTP_ind_TPTP_ind(scratc1108832938rdsucc,sK1(aTP_Lamm_aa)) = aa_TPTP_ind_TPTP_ind(scratc1108832938rdsucc,aa_TPTP_ind_TPTP_ind(scratc1108832938rdsucc,sK1(aTP_Lamm_aa)))
    | ~ spl25_614 ),
    inference(forward_subsumption_resolution,[],[f13226,f1120]) ).

fof(f13238,plain,
    ( ! [X0] :
        ( aa_TPTP_ind_TPTP_ind(scratc1108832938rdsucc,X0) != aa_TPTP_ind_TPTP_ind(scratc1108832938rdsucc,sK1(aTP_Lamm_aa))
        | aa_TPTP_ind_TPTP_ind(scratc1108832938rdsucc,sK1(aTP_Lamm_aa)) = X0
        | gg_TPTP_ind(X0)
        | gg_TPTP_ind(aa_TPTP_ind_TPTP_ind(scratc1108832938rdsucc,sK1(aTP_Lamm_aa))) )
    | ~ spl25_614 ),
    inference(superposition,[],[f1291,f13227]) ).

fof(f13250,plain,
    ( ! [X0] :
        ( aa_TPTP_ind_TPTP_ind(scratc1108832938rdsucc,X0) != aa_TPTP_ind_TPTP_ind(scratc1108832938rdsucc,sK1(aTP_Lamm_aa))
        | aa_TPTP_ind_TPTP_ind(scratc1108832938rdsucc,sK1(aTP_Lamm_aa)) = X0
        | gg_TPTP_ind(X0) )
    | ~ spl25_614 ),
    inference(forward_subsumption_resolution,[],[f13238,f1120]) ).

fof(f13287,plain,
    ( sK1(aTP_Lamm_aa) = aa_TPTP_ind_TPTP_ind(scratc1108832938rdsucc,sK1(aTP_Lamm_aa))
    | gg_TPTP_ind(sK1(aTP_Lamm_aa))
    | ~ spl25_614 ),
    inference(equality_resolution,[],[f13250]) ).

fof(f13289,definition,
    ( spl25_623
  <=> gg_TPTP_ind(sK1(aTP_Lamm_aa)) ),
    introduced(definition,[new_symbols(definition,[spl25_623])],[avatar_definition]) ).

fof(f13290,plain,
    ( gg_TPTP_ind(sK1(aTP_Lamm_aa))
    | ~ spl25_623 ),
    inference(avatar_component_clause,[],[f13289]) ).

fof(f13292,definition,
    ( spl25_624
  <=> sK1(aTP_Lamm_aa) = aa_TPTP_ind_TPTP_ind(scratc1108832938rdsucc,sK1(aTP_Lamm_aa)) ),
    introduced(definition,[new_symbols(definition,[spl25_624])],[avatar_definition]) ).

fof(f13293,plain,
    ( sK1(aTP_Lamm_aa) = aa_TPTP_ind_TPTP_ind(scratc1108832938rdsucc,sK1(aTP_Lamm_aa))
    | ~ spl25_624 ),
    inference(avatar_component_clause,[],[f13292]) ).

fof(f13294,plain,
    ( spl25_623
    | spl25_624
    | ~ spl25_614 ),
    inference(avatar_split_clause,[],[f13287,f13145,f13292,f13289]) ).

fof(f13310,plain,
    ( ! [X0] :
        ( ~ pp(aa_TPTP_ind_bool(aTP_Lamm_aa,X0))
        | pp(aa_TPTP_ind_bool(aTP_Lamm_aa,scratc954648526ptyset))
        | pp(aa_TPTP_ind_bool(scratc1352903720_nat_p,X0)) )
    | ~ spl25_623 ),
    inference(resolution,[],[f13290,f1194]) ).

fof(f13312,definition,
    ( spl25_627
  <=> ! [X0] :
        ( ~ pp(aa_TPTP_ind_bool(aTP_Lamm_aa,X0))
        | pp(aa_TPTP_ind_bool(scratc1352903720_nat_p,X0)) ) ),
    introduced(definition,[new_symbols(definition,[spl25_627])],[avatar_definition]) ).

fof(f13313,plain,
    ( ! [X0] :
        ( ~ pp(aa_TPTP_ind_bool(aTP_Lamm_aa,X0))
        | pp(aa_TPTP_ind_bool(scratc1352903720_nat_p,X0)) )
    | ~ spl25_627 ),
    inference(avatar_component_clause,[],[f13312]) ).

fof(f13314,plain,
    ( spl25_207
    | spl25_627
    | ~ spl25_623 ),
    inference(avatar_split_clause,[],[f13310,f13289,f13312,f7231]) ).

fof(f13315,plain,
    ( pp(aa_TPTP_ind_bool(scratc1352903720_nat_p,sK12(aTP_Lamm_a,aTP_Lamm_aa)))
    | ~ spl25_627 ),
    inference(resolution,[],[f13313,f1491]) ).

fof(f13326,plain,
    ( $false
    | spl25_97
    | ~ spl25_627 ),
    inference(forward_subsumption_resolution,[],[f13315,f5090]) ).

fof(f13327,plain,
    ( spl25_97
    | ~ spl25_627 ),
    inference(avatar_contradiction_clause,[],[f13326]) ).

fof(f13338,plain,
    ( pp(aa_TPTP_ind_bool(aTP_Lamm_aa,sK1(aTP_Lamm_aa)))
    | pp(aa_TPTP_ind_bool(aTP_Lamm_aa,scratc954648526ptyset))
    | ~ pp(aa_TPTP_ind_bool(aTP_Lamm_aa,sK12(aTP_Lamm_a,aTP_Lamm_aa)))
    | spl25_97
    | ~ spl25_624 ),
    inference(superposition,[],[f11208,f13293]) ).

fof(f13358,plain,
    ( pp(aa_TPTP_ind_bool(aTP_Lamm_aa,scratc954648526ptyset))
    | ~ pp(aa_TPTP_ind_bool(aTP_Lamm_aa,sK12(aTP_Lamm_a,aTP_Lamm_aa)))
    | spl25_97
    | ~ spl25_624 ),
    inference(forward_subsumption_resolution,[],[f13338,f7091]) ).

fof(f13367,plain,
    ( pp(aa_TPTP_ind_bool(aTP_Lamm_aa,scratc954648526ptyset))
    | spl25_97
    | ~ spl25_624 ),
    inference(forward_subsumption_resolution,[],[f13358,f1491]) ).

fof(f13368,plain,
    ( spl25_207
    | spl25_97
    | ~ spl25_624 ),
    inference(avatar_split_clause,[],[f13367,f13292,f5089,f7231]) ).

cnf(s75,plain,
    ( ~ spl25_71
    | spl25_72 ),
    inference(sat_conversion,[],[f4489]) ).

cnf(s139,plain,
    ~ spl25_97,
    inference(sat_conversion,[],[f5805]) ).

cnf(s242,plain,
    ( spl25_71
    | ~ spl25_207 ),
    inference(sat_conversion,[],[f7804]) ).

cnf(s254,plain,
    ~ spl25_72,
    inference(sat_conversion,[],[f7890]) ).

cnf(s603,plain,
    ( spl25_97
    | spl25_207
    | spl25_614 ),
    inference(sat_conversion,[],[f13147]) ).

cnf(s613,plain,
    ( ~ spl25_614
    | spl25_623
    | spl25_624 ),
    inference(sat_conversion,[],[f13294]) ).

cnf(s615,plain,
    ( spl25_207
    | ~ spl25_623
    | spl25_627 ),
    inference(sat_conversion,[],[f13314]) ).

cnf(s617,plain,
    ( spl25_97
    | ~ spl25_627 ),
    inference(sat_conversion,[],[f13327]) ).

cnf(s623,plain,
    ( spl25_97
    | spl25_207
    | ~ spl25_624 ),
    inference(sat_conversion,[],[f13368]) ).

cnf(s648,plain,
    ~ spl25_627,
    inference(rat,[],[s617,s139]) ).

cnf(s672,plain,
    ~ spl25_71,
    inference(rat,[],[s75,s254]) ).

cnf(s673,plain,
    ~ spl25_207,
    inference(rat,[],[s242,s672]) ).

cnf(s674,plain,
    ~ spl25_624,
    inference(rat,[],[s623,s139,s673]) ).

cnf(s675,plain,
    ~ spl25_623,
    inference(rat,[],[s615,s648,s673]) ).

cnf(s676,plain,
    spl25_614,
    inference(rat,[],[s603,s139,s673]) ).

cnf(s679,plain,
    $false,
    inference(rat,[],[s613,s674,s675,s676]) ).

fof(f13369,plain,
    $false,
    inference(avatar_sat_refutation,[],[s679]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : NUM636+4 : TPTP v9.3.1. Released v7.3.0.
% 0.00/0.06  % Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.37  % Computer : n019.cluster.edu
% 0.11/0.37  % Model    : x86_64 x86_64
% 0.11/0.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37  % Memory   : 8046.5625MB
% 0.11/0.37  % OS       : Linux 6.8.0-71-generic
% 0.11/0.37  % CPULimit : 300
% 0.11/0.37  % WCLimit  : 300
% 0.11/0.37  % DateTime : Sun Sep 27 20:52:49 UTC 2026
% 0.11/0.37  % CPUTime  : 
% 0.11/0.38  Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.41  Running first-order theorem proving
% 0.11/0.41  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
% 11.91/2.54  % (3393264)Detected formulas, will run a generic FOF schedule.
% 11.91/2.54  % (3393305)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=974176402:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 11.91/2.54  % (3393306)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=286827998:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 11.91/2.54  % (3393309)dis-21_1_sil=8000:lcm=predicate:random_seed=2795694772: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)
% 11.91/2.54  % (3393303)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=1415054515:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 11.91/2.54  % (3393308)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1019294084:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 11.91/2.54  % (3393304)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=1042407671:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 11.91/2.54  % (3393307)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=1397770215:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 11.91/2.54  % (3393306)Refutation not found, incomplete strategy
% 11.91/2.54  % (3393306)------------------------------
% 11.91/2.54  % (3393306)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.91/2.54  % (3393306)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.91/2.54  % (3393306)CaDiCaL version: 2.1.3
% 11.91/2.54  % (3393306)Termination reason: Refutation not found, incomplete strategy
% 11.91/2.54  % (3393306)Time elapsed: 0.002 s
% 11.91/2.54  % (3393306)Peak memory usage: 87 MB
% 11.91/2.54  % (3393306)Instructions burned: 1 (million)
% 11.91/2.54  % (3393307)Refutation not found, incomplete strategy
% 11.91/2.54  % (3393307)------------------------------
% 11.91/2.54  % (3393307)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.91/2.54  % (3393307)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.91/2.54  % (3393307)CaDiCaL version: 2.1.3
% 11.91/2.54  % (3393307)Termination reason: Refutation not found, incomplete strategy
% 11.91/2.54  % (3393307)Time elapsed: 0.003 s
% 11.91/2.54  % (3393307)Peak memory usage: 88 MB
% 11.91/2.54  % (3393307)Instructions burned: 2 (million)
% 11.91/2.54  % (3393309)Instruction limit reached! 
% 11.91/2.54  % (3393309)------------------------------
% 11.91/2.54  % (3393309)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.91/2.54  % (3393309)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.91/2.54  % (3393309)CaDiCaL version: 2.1.3
% 11.91/2.54  % (3393309)Termination reason: Instruction limit
% 11.91/2.54  % (3393309)Termination phase: Saturation
% 11.91/2.54  % (3393309)Time elapsed: 0.079 s
% 11.91/2.54  % (3393309)Peak memory usage: 90 MB
% 11.91/2.54  % (3393309)Instructions burned: 130 (million)
% 11.91/2.54  % (3393308)Instruction limit reached! 
% 11.91/2.54  % (3393308)------------------------------
% 11.91/2.54  % (3393308)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.91/2.54  % (3393308)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.91/2.54  % (3393308)CaDiCaL version: 2.1.3
% 11.91/2.54  % (3393308)Termination reason: Instruction limit
% 11.91/2.54  % (3393308)Termination phase: Saturation
% 11.91/2.54  % (3393308)Time elapsed: 0.102 s
% 11.91/2.54  % (3393308)Peak memory usage: 90 MB
% 11.91/2.54  % (3393308)Instructions burned: 139 (million)
% 11.91/2.54  % (3393317)lrs+10_1_sil=8000:sp=occurrence:random_seed=1915536600:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 11.91/2.54  % (3393318)lrs+10_1_sil=32000:urr=on:br=off:random_seed=2818437477:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 11.91/2.54  % (3393318)Refutation not found, incomplete strategy
% 11.91/2.54  % (3393318)------------------------------
% 11.91/2.54  % (3393318)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.91/2.54  % (3393318)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.91/2.54  % (3393318)CaDiCaL version: 2.1.3
% 11.91/2.54  % (3393318)Termination reason: Refutation not found, incomplete strategy
% 19.68/3.63  % (3393318)Time elapsed: 0.003 s
% 19.68/3.63  % (3393318)Peak memory usage: 88 MB
% 19.68/3.63  % (3393318)Instructions burned: 4 (million)
% 19.68/3.63  % (3393306)------------------------------
% 19.68/3.63  % (3393306)------------------------------
% 19.68/3.63  % (3393307)------------------------------
% 19.68/3.63  % (3393307)------------------------------
% 19.68/3.63  % (3393317)Instruction limit reached! 
% 19.68/3.63  % (3393317)------------------------------
% 19.68/3.63  % (3393317)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.68/3.63  % (3393317)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.68/3.63  % (3393317)CaDiCaL version: 2.1.3
% 19.68/3.63  % (3393317)Termination reason: Instruction limit
% 19.68/3.63  % (3393317)Termination phase: Saturation
% 19.68/3.63  % (3393317)Time elapsed: 0.124 s
% 19.68/3.63  % (3393317)Peak memory usage: 89 MB
% 19.68/3.63  % (3393317)Instructions burned: 287 (million)
% 19.68/3.63  % (3393322)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=1118063666:s2a=on:i=248:s2at=1.23:gtg=position_2996 on theBenchmark for (2996ds/248Mi)
% 19.68/3.63  % (3393321)lrs+1011_1_sil=32000:sp=occurrence:random_seed=471049449:i=325:sd=1:ss=axioms:sgt=32_2996 on theBenchmark for (2996ds/325Mi)
% 19.68/3.63  % (3393321)Refutation not found, incomplete strategy
% 19.68/3.63  % (3393321)------------------------------
% 19.68/3.63  % (3393321)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.68/3.63  % (3393321)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.68/3.63  % (3393321)CaDiCaL version: 2.1.3
% 19.68/3.63  % (3393321)Termination reason: Refutation not found, incomplete strategy
% 19.68/3.63  % (3393321)Time elapsed: 0.005 s
% 19.68/3.63  % (3393321)Peak memory usage: 89 MB
% 19.68/3.63  % (3393321)Instructions burned: 6 (million)
% 19.68/3.63  % (3393318)------------------------------
% 19.68/3.63  % (3393318)------------------------------
% 19.68/3.63  % (3393323)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=1884871495:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2995 on theBenchmark for (2995ds/294Mi)
% 19.68/3.63  % (3393323)Refutation not found, incomplete strategy
% 19.68/3.63  % (3393323)------------------------------
% 19.68/3.63  % (3393323)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.68/3.63  % (3393323)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.68/3.63  % (3393323)CaDiCaL version: 2.1.3
% 19.68/3.63  % (3393323)Termination reason: Refutation not found, incomplete strategy
% 19.68/3.63  % (3393323)Time elapsed: 0.005 s
% 19.68/3.63  % (3393323)Peak memory usage: 88 MB
% 19.68/3.63  % (3393323)Instructions burned: 6 (million)
% 19.68/3.63  % (3393322)Instruction limit reached! 
% 19.68/3.63  % (3393322)------------------------------
% 19.68/3.63  % (3393322)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.68/3.63  % (3393322)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.68/3.63  % (3393322)CaDiCaL version: 2.1.3
% 19.68/3.63  % (3393322)Termination reason: Instruction limit
% 19.68/3.63  % (3393322)Termination phase: Saturation
% 19.68/3.63  % (3393322)Time elapsed: 0.149 s
% 19.68/3.63  % (3393322)Peak memory usage: 91 MB
% 19.68/3.63  % (3393322)Instructions burned: 249 (million)
% 19.68/3.63  % (3393326)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=3403091236:i=2350_2993 on theBenchmark for (2993ds/2350Mi)
% 19.68/3.63  % (3393321)------------------------------
% 19.68/3.63  % (3393321)------------------------------
% 19.68/3.63  % (3393328)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=2106893086:cts=off:i=113:fsr=off:ss=included:sgt=4_2993 on theBenchmark for (2993ds/113Mi)
% 19.68/3.63  % (3393323)------------------------------
% 19.68/3.63  % (3393323)------------------------------
% 19.68/3.63  % (3393328)Instruction limit reached! 
% 19.68/3.63  % (3393328)------------------------------
% 19.68/3.63  % (3393328)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.68/3.63  % (3393328)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.68/3.63  % (3393328)CaDiCaL version: 2.1.3
% 19.68/3.63  % (3393328)Termination reason: Instruction limit
% 19.68/3.63  % (3393328)Termination phase: Saturation
% 19.68/3.63  % (3393328)Time elapsed: 0.070 s
% 19.68/3.63  % (3393328)Peak memory usage: 90 MB
% 19.68/3.63  % (3393328)Instructions burned: 113 (million)
% 19.68/3.63  % (3393330)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=2048759006:i=127:av=off:fsr=off:sup=off_2992 on theBenchmark for (2992ds/127Mi)
% 46.14/7.35  % (3393330)Instruction limit reached! 
% 46.14/7.35  % (3393330)------------------------------
% 46.14/7.35  % (3393330)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 46.14/7.35  % (3393330)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 46.14/7.35  % (3393330)CaDiCaL version: 2.1.3
% 46.14/7.35  % (3393330)Termination reason: Instruction limit
% 46.14/7.35  % (3393330)Termination phase: Saturation
% 46.14/7.35  % (3393330)Time elapsed: 0.063 s
% 46.14/7.35  % (3393330)Peak memory usage: 89 MB
% 46.14/7.35  % (3393330)Instructions burned: 128 (million)
% 46.14/7.35  % (3393332)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=3591195759:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2991 on theBenchmark for (2991ds/114Mi)
% 46.14/7.35  % (3393333)lrs+10_1_sil=8000:sp=occurrence:random_seed=3244203368:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2991 on theBenchmark for (2991ds/907Mi)
% 46.14/7.35  % (3393332)Instruction limit reached! 
% 46.14/7.35  % (3393332)------------------------------
% 46.14/7.35  % (3393332)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 46.14/7.35  % (3393332)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 46.14/7.35  % (3393332)CaDiCaL version: 2.1.3
% 46.14/7.35  % (3393332)Termination reason: Instruction limit
% 46.14/7.35  % (3393332)Termination phase: Saturation
% 46.14/7.35  % (3393332)Time elapsed: 0.063 s
% 46.14/7.35  % (3393332)Peak memory usage: 89 MB
% 46.14/7.35  % (3393332)Instructions burned: 115 (million)
% 46.14/7.35  % (3393335)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=4238593682:i=437:sd=1:aac=none:ss=included_2990 on theBenchmark for (2990ds/437Mi)
% 46.14/7.35  % (3393335)Refutation not found, incomplete strategy
% 46.14/7.35  % (3393335)------------------------------
% 46.14/7.35  % (3393335)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 46.14/7.35  % (3393335)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 46.14/7.35  % (3393335)CaDiCaL version: 2.1.3
% 46.14/7.35  % (3393335)Termination reason: Refutation not found, incomplete strategy
% 46.14/7.35  % (3393335)Time elapsed: 0.020 s
% 46.14/7.35  % (3393335)Peak memory usage: 89 MB
% 46.14/7.35  % (3393335)Instructions burned: 37 (million)
% 46.14/7.35  % (3393338)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=3697775786:i=5202:ss=axioms:sgt=16_2989 on theBenchmark for (2989ds/5202Mi)
% 46.14/7.35  % (3393335)------------------------------
% 46.14/7.35  % (3393335)------------------------------
% 46.14/7.35  % (3393341)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=3013554370:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2986 on theBenchmark for (2986ds/134Mi)
% 46.14/7.35  % (3393333)Instruction limit reached! 
% 46.14/7.35  % (3393333)------------------------------
% 46.14/7.35  % (3393333)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 46.14/7.35  % (3393333)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 46.14/7.35  % (3393333)CaDiCaL version: 2.1.3
% 46.14/7.35  % (3393333)Termination reason: Instruction limit
% 46.14/7.35  % (3393333)Termination phase: Saturation
% 46.14/7.35  % (3393333)Time elapsed: 0.540 s
% 46.14/7.35  % (3393333)Peak memory usage: 99 MB
% 46.14/7.35  % (3393333)Instructions burned: 909 (million)
% 46.14/7.35  % (3393341)Instruction limit reached! 
% 46.14/7.35  % (3393341)------------------------------
% 46.14/7.35  % (3393341)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 46.14/7.35  % (3393341)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 46.14/7.35  % (3393341)CaDiCaL version: 2.1.3
% 46.14/7.35  % (3393341)Termination reason: Instruction limit
% 46.14/7.35  % (3393341)Termination phase: Saturation
% 46.14/7.35  % (3393341)Time elapsed: 0.075 s
% 46.14/7.35  % (3393341)Peak memory usage: 92 MB
% 46.14/7.35  % (3393341)Instructions burned: 136 (million)
% 46.14/7.35  % (3393344)lrs+10_1_ncem=casc2026/models/loop6.pt:sil=32000:npcc=on:random_seed=2900799970:st=3:i=13193:sd=3:ss=axioms_2984 on theBenchmark for (2984ds/13193Mi)
% 46.14/7.35  % (3393343)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=927695284:st=8:i=592:sd=3:ep=RST:ss=axioms_2984 on theBenchmark for (2984ds/592Mi)
% 46.14/7.35  % (3393343)Refutation not found, incomplete strategy
% 46.14/7.35  % (3393343)------------------------------
% 46.14/7.35  % (3393343)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 46.14/7.35  % (3393343)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 78.80/11.96  % (3393343)CaDiCaL version: 2.1.3
% 78.80/11.96  % (3393343)Termination reason: Refutation not found, incomplete strategy
% 78.80/11.96  % (3393343)Time elapsed: 0.014 s
% 78.80/11.96  % (3393343)Peak memory usage: 88 MB
% 78.80/11.96  % (3393343)Instructions burned: 26 (million)
% 78.80/11.96  % (3393343)------------------------------
% 78.80/11.96  % (3393343)------------------------------
% 78.80/11.96  % (3393347)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=628135920:i=125:slsql=off:bs=unit_only:gtg=position:fdi=2:gsp=on:ss=axioms:sgt=8_2980 on theBenchmark for (2980ds/125Mi)
% 78.80/11.96  % (3393347)Instruction limit reached! 
% 78.80/11.96  % (3393347)------------------------------
% 78.80/11.96  % (3393347)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 78.80/11.96  % (3393347)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 78.80/11.96  % (3393347)CaDiCaL version: 2.1.3
% 78.80/11.96  % (3393347)Termination reason: Instruction limit
% 78.80/11.96  % (3393347)Termination phase: Saturation
% 78.80/11.96  % (3393347)Time elapsed: 0.066 s
% 78.80/11.96  % (3393347)Peak memory usage: 91 MB
% 78.80/11.96  % (3393347)Instructions burned: 125 (million)
% 78.80/11.96  % (3393326)Instruction limit reached! 
% 78.80/11.96  % (3393326)------------------------------
% 78.80/11.96  % (3393326)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 78.80/11.96  % (3393326)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 78.80/11.96  % (3393326)CaDiCaL version: 2.1.3
% 78.80/11.96  % (3393326)Termination reason: Instruction limit
% 78.80/11.96  % (3393326)Termination phase: Saturation
% 78.80/11.96  % (3393326)Time elapsed: 1.485 s
% 78.80/11.96  % (3393326)Peak memory usage: 142 MB
% 78.80/11.96  % (3393326)Instructions burned: 2351 (million)
% 78.80/11.96  % (3393349)lrs+10_1024_to=lpo:sil=8000:tgt=full:sp=arity:slsq=on:random_seed=420155532:i=134:gtgl=5:slsql=off:gtg=exists_sym_2978 on theBenchmark for (2978ds/134Mi)
% 78.80/11.96  % (3393349)Instruction limit reached! 
% 78.80/11.96  % (3393349)------------------------------
% 78.80/11.96  % (3393349)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 78.80/11.96  % (3393349)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 78.80/11.96  % (3393349)CaDiCaL version: 2.1.3
% 78.80/11.96  % (3393349)Termination reason: Instruction limit
% 78.80/11.96  % (3393349)Termination phase: Saturation
% 78.80/11.96  % (3393349)Time elapsed: 0.079 s
% 78.80/11.96  % (3393349)Peak memory usage: 91 MB
% 78.80/11.96  % (3393349)Instructions burned: 134 (million)
% 78.80/11.96  % (3393350)lrs+10_1_sil=16000:plsq=on:plsqc=1:plsqr=32,1:sos=on:lcm=reverse:fd=off:newcnf=on:random_seed=5682254:i=141:sd=1:gsp=on:sup=off:ss=axioms:sgt=8_2977 on theBenchmark for (2977ds/141Mi)
% 78.80/11.96  % (3393350)Refutation not found, incomplete strategy
% 78.80/11.96  % (3393350)------------------------------
% 78.80/11.96  % (3393350)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 78.80/11.96  % (3393350)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 78.80/11.96  % (3393350)CaDiCaL version: 2.1.3
% 78.80/11.96  % (3393350)Termination reason: Refutation not found, incomplete strategy
% 78.80/11.96  % (3393350)Time elapsed: 0.002 s
% 78.80/11.96  % (3393350)Peak memory usage: 88 MB
% 78.80/11.96  % (3393350)Instructions burned: 1 (million)
% 78.80/11.96  % (3393352)lrs+1011_1_sil=8000:plsq=on:sp=occurrence:fs=off:random_seed=2915022371:i=431:sd=1:fsr=off:sup=off:ss=axioms:sgt=64_2976 on theBenchmark for (2976ds/431Mi)
% 78.80/11.96  % (3393350)------------------------------
% 78.80/11.96  % (3393350)------------------------------
% 78.80/11.96  % (3393352)Instruction limit reached! 
% 78.80/11.96  % (3393352)------------------------------
% 78.80/11.96  % (3393352)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 78.80/11.96  % (3393352)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 78.80/11.96  % (3393352)CaDiCaL version: 2.1.3
% 78.80/11.96  % (3393352)Termination reason: Instruction limit
% 78.80/11.96  % (3393352)Termination phase: Saturation
% 78.80/11.96  % (3393352)Time elapsed: 0.188 s
% 78.80/11.96  % (3393352)Peak memory usage: 89 MB
% 78.80/11.96  % (3393352)Instructions burned: 431 (million)
% 78.80/11.96  % (3393355)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=1503798358:i=6060:aac=none:ins=25_2973 on theBenchmark for (2973ds/6060Mi)
% 78.80/11.96  % (3393356)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=66094139:avsq=on:s2a=on:i=150:kws=precedence:nicw=on:gsp=on:rawr=on_2973 on theBenchmark for (2973ds/150Mi)
% 99.39/14.87  % (3393356)Instruction limit reached! 
% 99.39/14.87  % (3393356)------------------------------
% 99.39/14.87  % (3393356)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 99.39/14.87  % (3393356)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 99.39/14.87  % (3393356)CaDiCaL version: 2.1.3
% 99.39/14.87  % (3393356)Termination reason: Instruction limit
% 99.39/14.87  % (3393356)Termination phase: Saturation
% 99.39/14.87  % (3393356)Time elapsed: 0.075 s
% 99.39/14.87  % (3393356)Peak memory usage: 90 MB
% 99.39/14.87  % (3393356)Instructions burned: 150 (million)
% 99.39/14.87  % (3393359)lrs+1010_1_ncem=casc2026/models/loop8.pt:sil=64000:tgt=ground:npcc=on:sp=arity:urr=on:random_seed=11669944:i=14155:bd=all_2971 on theBenchmark for (2971ds/14155Mi)
% 99.39/14.87  % (3393338)Instruction limit reached! 
% 99.39/14.87  % (3393338)------------------------------
% 99.39/14.87  % (3393338)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 99.39/14.87  % (3393338)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 99.39/14.87  % (3393338)CaDiCaL version: 2.1.3
% 99.39/14.87  % (3393338)Termination reason: Instruction limit
% 99.39/14.87  % (3393338)Termination phase: Saturation
% 99.39/14.87  % (3393338)Time elapsed: 3.328 s
% 99.39/14.87  % (3393338)Peak memory usage: 162 MB
% 99.39/14.87  % (3393338)Instructions burned: 5203 (million)
% 99.39/14.87  % (3393362)lrs+10_1024_sil=16000:plsq=on:plsqr=32,1:sos=all:fs=off:gs=on:newcnf=on:random_seed=3292024946:i=667:av=off:fsr=off_2954 on theBenchmark for (2954ds/667Mi)
% 99.39/14.87  % (3393362)Instruction limit reached! 
% 99.39/14.87  % (3393362)------------------------------
% 99.39/14.87  % (3393362)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 99.39/14.87  % (3393362)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 99.39/14.87  % (3393362)CaDiCaL version: 2.1.3
% 99.39/14.87  % (3393362)Termination reason: Instruction limit
% 99.39/14.87  % (3393362)Termination phase: Saturation
% 99.39/14.87  % (3393362)Time elapsed: 0.320 s
% 99.39/14.87  % (3393362)Peak memory usage: 100 MB
% 99.39/14.87  % (3393362)Instructions burned: 669 (million)
% 99.39/14.87  % (3393364)ott-1011_3:1_anc=all_dependent:to=lpo:sil=8000:drc=ordering:sas=cadical:fdtod=off:sp=reverse_frequency:spb=goal_then_units:urr=full:lftc=20:newcnf=on:random_seed=596848657:s2a=on:i=185:s2at=1.8:fdi=4_2950 on theBenchmark for (2950ds/185Mi)
% 99.39/14.87  % (3393364)Instruction limit reached! 
% 99.39/14.87  % (3393364)------------------------------
% 99.39/14.87  % (3393364)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 99.39/14.87  % (3393364)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 99.39/14.87  % (3393364)CaDiCaL version: 2.1.3
% 99.39/14.87  % (3393364)Termination reason: Instruction limit
% 99.39/14.87  % (3393364)Termination phase: Saturation
% 99.39/14.87  % (3393364)Time elapsed: 0.089 s
% 99.39/14.87  % (3393364)Peak memory usage: 91 MB
% 99.39/14.87  % (3393364)Instructions burned: 188 (million)
% 99.39/14.87  % (3393366)dis+1010_14_anc=all:to=lpo:sil=8000:sp=arity:slsq=on:random_seed=487894171:i=193:ins=10:fsr=off:ss=axioms:fsd=on_2948 on theBenchmark for (2948ds/193Mi)
% 99.39/14.87  % (3393366)Refutation not found, incomplete strategy
% 99.39/14.87  % (3393366)------------------------------
% 99.39/14.87  % (3393366)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 99.39/14.87  % (3393366)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 99.39/14.87  % (3393366)CaDiCaL version: 2.1.3
% 99.39/14.87  % (3393366)Termination reason: Refutation not found, incomplete strategy
% 99.39/14.87  % (3393366)Time elapsed: 0.004 s
% 99.39/14.87  % (3393366)Peak memory usage: 89 MB
% 99.39/14.87  % (3393366)Instructions burned: 3 (million)
% 99.39/14.87  % (3393366)------------------------------
% 99.39/14.87  % (3393366)------------------------------
% 99.39/14.87  % (3393368)dis+1011_7_sil=8000:sp=occurrence:sos=all:fd=off:random_seed=704410611:st=5.3:i=4850:sd=4:av=off:sup=off:ss=included:sgt=16_2944 on theBenchmark for (2944ds/4850Mi)
% 99.39/14.87  % (3393355)Instruction limit reached! 
% 99.39/14.87  % (3393355)------------------------------
% 99.39/14.87  % (3393355)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 99.39/14.87  % (3393355)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 99.39/14.87  % (3393355)CaDiCaL version: 2.1.3
% 128.48/19.00  % (3393355)Termination reason: Instruction limit
% 128.48/19.00  % (3393355)Termination phase: Saturation
% 128.48/19.00  % (3393355)Time elapsed: 3.756 s
% 128.48/19.00  % (3393355)Peak memory usage: 154 MB
% 128.48/19.00  % (3393355)Instructions burned: 6061 (million)
% 128.48/19.00  % (3393370)lrs+1011_1_ncem=casc2026/models/loop8.pt:sil=32000:tgt=ground:npcc=on:sp=const_frequency:acc=on:urr=on:random_seed=3870120608:i=12111:sd=1:ss=included_2934 on theBenchmark for (2934ds/12111Mi)
% 128.48/19.00  % (3393344)Instruction limit reached! 
% 128.48/19.00  % (3393344)------------------------------
% 128.48/19.00  % (3393344)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 128.48/19.00  % (3393344)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 128.48/19.00  % (3393344)CaDiCaL version: 2.1.3
% 128.48/19.00  % (3393344)Termination reason: Instruction limit
% 128.48/19.00  % (3393344)Termination phase: Saturation
% 128.48/19.00  % (3393344)Time elapsed: 7.018 s
% 128.48/19.00  % (3393344)Peak memory usage: 168 MB
% 128.48/19.00  % (3393344)Instructions burned: 13194 (million)
% 128.48/19.00  % (3393372)lrs-11_32_anc=all:sil=8000:spb=goal_then_units:sac=on:random_seed=2428393458:i=319:kws=precedence:fsr=off_2912 on theBenchmark for (2912ds/319Mi)
% 128.48/19.00  % (3393368)Instruction limit reached! 
% 128.48/19.00  % (3393368)------------------------------
% 128.48/19.00  % (3393368)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 128.48/19.00  % (3393368)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 128.48/19.00  % (3393368)CaDiCaL version: 2.1.3
% 128.48/19.00  % (3393368)Termination reason: Instruction limit
% 128.48/19.00  % (3393368)Termination phase: Saturation
% 128.48/19.00  % (3393368)Time elapsed: 3.151 s
% 128.48/19.00  % (3393368)Peak memory usage: 152 MB
% 128.48/19.00  % (3393368)Instructions burned: 4851 (million)
% 128.48/19.00  % (3393374)dis+2_1024_sil=8000:sp=reverse_arity:sos=on:lcm=reverse:sac=on:random_seed=84383574:i=2064:ep=RST_2911 on theBenchmark for (2911ds/2064Mi)
% 128.48/19.00  % (3393374)Refutation not found, incomplete strategy
% 128.48/19.00  % (3393374)------------------------------
% 128.48/19.00  % (3393374)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 128.48/19.00  % (3393374)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 128.48/19.00  % (3393374)CaDiCaL version: 2.1.3
% 128.48/19.00  % (3393374)Termination reason: Refutation not found, incomplete strategy
% 128.48/19.00  % (3393374)Time elapsed: 0.016 s
% 128.48/19.00  % (3393374)Peak memory usage: 89 MB
% 128.48/19.00  % (3393374)Instructions burned: 32 (million)
% 128.48/19.00  % (3393372)Instruction limit reached! 
% 128.48/19.00  % (3393372)------------------------------
% 128.48/19.00  % (3393372)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 128.48/19.00  % (3393372)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 128.48/19.00  % (3393372)CaDiCaL version: 2.1.3
% 128.48/19.00  % (3393372)Termination reason: Instruction limit
% 128.48/19.00  % (3393372)Termination phase: Saturation
% 128.48/19.00  % (3393372)Time elapsed: 0.173 s
% 128.48/19.00  % (3393372)Peak memory usage: 92 MB
% 128.48/19.00  % (3393372)Instructions burned: 320 (million)
% 128.48/19.00  % (3393376)dis-1011_128_sil=32000:random_seed=2572206855:i=3706:ep=RST:av=off_2909 on theBenchmark for (2909ds/3706Mi)
% 128.48/19.00  % (3393374)------------------------------
% 128.48/19.00  % (3393374)------------------------------
% 128.48/19.00  % (3393378)lrs-1002_1_sil=8000:plsq=on:plsqr=32,1:sp=occurrence:sos=on:fs=off:gs=on:newcnf=on:random_seed=3111175592:i=757:sd=2:fsr=off:ss=axioms:sgt=40_2907 on theBenchmark for (2907ds/757Mi)
% 128.48/19.00  % (3393378)Refutation not found, incomplete strategy
% 128.48/19.00  % (3393378)------------------------------
% 128.48/19.00  % (3393378)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 128.48/19.00  % (3393378)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 128.48/19.00  % (3393378)CaDiCaL version: 2.1.3
% 128.48/19.00  % (3393378)Termination reason: Refutation not found, incomplete strategy
% 128.48/19.00  % (3393378)Time elapsed: 0.006 s
% 128.48/19.00  % (3393378)Peak memory usage: 88 MB
% 128.48/19.00  % (3393378)Instructions burned: 9 (million)
% 128.48/19.00  % (3393378)------------------------------
% 128.48/19.00  % (3393378)------------------------------
% 128.48/19.00  % (3393380)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=64000:npcc=on:sp=occurrence:random_seed=1077712251:i=13913:ss=axioms:sgt=8_2903 on theBenchmark for (2903ds/13913Mi)
% 128.48/19.00  % (3393359)Instruction limit reached! 
% 128.48/19.00  % (3393359)------------------------------
% 128.48/19.00  % (3393359)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 141.20/21.00  % (3393359)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 141.20/21.00  % (3393359)CaDiCaL version: 2.1.3
% 141.20/21.00  % (3393359)Termination reason: Instruction limit
% 141.20/21.00  % (3393359)Termination phase: Saturation
% 141.20/21.00  % (3393359)Time elapsed: 8.127 s
% 141.20/21.00  % (3393359)Peak memory usage: 213 MB
% 141.20/21.00  % (3393359)Instructions burned: 14155 (million)
% 141.20/21.00  % (3393376)Instruction limit reached! 
% 141.20/21.00  % (3393376)------------------------------
% 141.20/21.00  % (3393376)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 141.20/21.00  % (3393376)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 141.20/21.00  % (3393376)CaDiCaL version: 2.1.3
% 141.20/21.00  % (3393376)Termination reason: Instruction limit
% 141.20/21.00  % (3393376)Termination phase: Saturation
% 141.20/21.00  % (3393376)Time elapsed: 2.129 s
% 141.20/21.00  % (3393376)Peak memory usage: 108 MB
% 141.20/21.00  % (3393376)Instructions burned: 3708 (million)
% 141.20/21.00  % (3393382)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:sp=const_frequency:sos=all:lma=off:random_seed=3298846353:i=9925:aac=none_2888 on theBenchmark for (2888ds/9925Mi)
% 141.20/21.00  % (3393383)dis-1010_50_to=lpo:sil=32000:sp=arity:sos=on:spb=goal_then_units:urr=ec_only:slsq=on:random_seed=1069390759:i=2479:sd=2:nm=16:fsr=off:ss=axioms_2887 on theBenchmark for (2887ds/2479Mi)
% 141.20/21.00  % (3393383)Refutation not found, incomplete strategy
% 141.20/21.00  % (3393383)------------------------------
% 141.20/21.00  % (3393383)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 141.20/21.00  % (3393383)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 141.20/21.00  % (3393383)CaDiCaL version: 2.1.3
% 141.20/21.00  % (3393383)Termination reason: Refutation not found, incomplete strategy
% 141.20/21.00  % (3393383)Time elapsed: 0.003 s
% 141.20/21.00  % (3393383)Peak memory usage: 88 MB
% 141.20/21.00  % (3393383)Instructions burned: 2 (million)
% 141.20/21.00  % (3393383)------------------------------
% 141.20/21.00  % (3393383)------------------------------
% 141.20/21.00  % (3393386)ott+1002_64_sil=16000:sp=const_min:nwc=0.5:random_seed=2405644972:i=440:nm=2:av=off:gtg=exists_all:fdi=8:gsp=on_2883 on theBenchmark for (2883ds/440Mi)
% 141.20/21.00  % (3393386)Instruction limit reached! 
% 141.20/21.00  % (3393386)------------------------------
% 141.20/21.00  % (3393386)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 141.20/21.00  % (3393386)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 141.20/21.00  % (3393386)CaDiCaL version: 2.1.3
% 141.20/21.00  % (3393386)Termination reason: Instruction limit
% 141.20/21.00  % (3393386)Termination phase: Saturation
% 141.20/21.00  % (3393386)Time elapsed: 0.263 s
% 141.20/21.00  % (3393386)Peak memory usage: 94 MB
% 141.20/21.00  % (3393386)Instructions burned: 440 (million)
% 141.20/21.00  % (3393388)dis-1011_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:erd=off:lsd=100:bsr=unit_only:random_seed=3571298560:st=1.5:i=11145:s2at=3:sd=3:fsr=off:ss=axioms_2879 on theBenchmark for (2879ds/11145Mi)
% 141.20/21.00  % (3393388)Refutation not found, incomplete strategy
% 141.20/21.00  % (3393388)------------------------------
% 141.20/21.00  % (3393388)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 141.20/21.00  % (3393388)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 141.20/21.00  % (3393388)CaDiCaL version: 2.1.3
% 141.20/21.00  % (3393388)Termination reason: Refutation not found, incomplete strategy
% 141.20/21.00  % (3393388)Time elapsed: 0.609 s
% 141.20/21.00  % (3393388)Peak memory usage: 129 MB
% 141.20/21.00  % (3393388)Instructions burned: 907 (million)
% 141.20/21.00  % (3393388)------------------------------
% 141.20/21.00  % (3393388)------------------------------
% 141.20/21.00  % (3393506)lrs+1002_1_to=lpo:ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:sp=unary_frequency:lcm=reverse:urr=on:bsr=on:random_seed=1480305318:cts=off:i=3034:av=off:er=known:fsd=on_2869 on theBenchmark for (2869ds/3034Mi)
% 141.20/21.00  % (3393370)Instruction limit reached! 
% 141.20/21.00  % (3393370)------------------------------
% 141.20/21.00  % (3393370)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 141.20/21.00  % (3393370)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 141.20/21.00  % (3393370)CaDiCaL version: 2.1.3
% 141.20/21.00  % (3393370)Termination reason: Instruction limit
% 141.20/21.00  % (3393370)Termination phase: Saturation
% 141.20/21.00  % (3393370)Time elapsed: 7.387 s
% 141.20/21.00  % (3393370)Peak memory usage: 237 MB
% 141.20/21.00  % (3393370)Instructions burned: 12112 (million)
% 154.69/22.69  % (3393665)lrs-1011_64:1_sil=8000:erd=off:urr=on:nwc=0.7:br=off:random_seed=400927240:st=2:s2a=on:i=524:s2at=2:ss=axioms_2859 on theBenchmark for (2859ds/524Mi)
% 154.69/22.69  % (3393665)Instruction limit reached! 
% 154.69/22.69  % (3393665)------------------------------
% 154.69/22.69  % (3393665)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 154.69/22.69  % (3393665)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 154.69/22.69  % (3393665)CaDiCaL version: 2.1.3
% 154.69/22.69  % (3393665)Termination reason: Instruction limit
% 154.69/22.69  % (3393665)Termination phase: Saturation
% 154.69/22.69  % (3393665)Time elapsed: 0.288 s
% 154.69/22.69  % (3393665)Peak memory usage: 92 MB
% 154.69/22.69  % (3393665)Instructions burned: 525 (million)
% 154.69/22.69  % (3393785)lrs+1011_16:1_sil=8000:acc=on:urr=on:fd=preordered:flr=on:random_seed=703147110:avsq=on:i=1016:avsqr=676809,524288:sd=1:ss=axioms_2855 on theBenchmark for (2855ds/1016Mi)
% 154.69/22.69  % (3393785)Refutation not found, incomplete strategy
% 154.69/22.69  % (3393785)------------------------------
% 154.69/22.69  % (3393785)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 154.69/22.69  % (3393785)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 154.69/22.69  % (3393785)CaDiCaL version: 2.1.3
% 154.69/22.69  % (3393785)Termination reason: Refutation not found, incomplete strategy
% 154.69/22.69  % (3393785)Time elapsed: 0.002 s
% 154.69/22.69  % (3393785)Peak memory usage: 89 MB
% 154.69/22.69  % (3393785)Instructions burned: 1 (million)
% 154.69/22.69  % (3393785)------------------------------
% 154.69/22.69  % (3393785)------------------------------
% 154.69/22.69  % (3393790)lrs+1010_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:drc=off:fde=none:s2agt=16:random_seed=2320896105:i=14123:bd=preordered:ins=4_2851 on theBenchmark for (2851ds/14123Mi)
% 154.69/22.69  % (3393506)Instruction limit reached! 
% 154.69/22.69  % (3393506)------------------------------
% 154.69/22.69  % (3393506)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 154.69/22.69  % (3393506)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 154.69/22.69  % (3393506)CaDiCaL version: 2.1.3
% 154.69/22.69  % (3393506)Termination reason: Instruction limit
% 154.69/22.69  % (3393506)Termination phase: Saturation
% 154.69/22.69  % (3393506)Time elapsed: 1.868 s
% 154.69/22.69  % (3393506)Peak memory usage: 146 MB
% 154.69/22.69  % (3393506)Instructions burned: 3034 (million)
% 154.69/22.69  % (3393792)dis+10_4096_slsqr=16,1:sil=32000:tgt=full:plsq=on:bsr=unit_only:slsqc=1:slsq=on:random_seed=2052852338:i=5781:kws=precedence:bd=all:rawr=on_2849 on theBenchmark for (2849ds/5781Mi)
% 154.69/22.69  % (3393382)Instruction limit reached! 
% 154.69/22.69  % (3393382)------------------------------
% 154.69/22.69  % (3393382)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 154.69/22.69  % (3393382)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 154.69/22.69  % (3393382)CaDiCaL version: 2.1.3
% 154.69/22.69  % (3393382)Termination reason: Instruction limit
% 154.69/22.69  % (3393382)Termination phase: Saturation
% 154.69/22.69  % (3393382)Time elapsed: 5.850 s
% 154.69/22.69  % (3393382)Peak memory usage: 209 MB
% 154.69/22.69  % (3393382)Instructions burned: 9926 (million)
% 154.69/22.69  % (3393795)lrs-1011_1_to=lpo:ncem=casc2026/models/loop7.pt:sil=64000:npcc=on:drc=off:sp=reverse_frequency:erd=off:urr=on:br=off:random_seed=1478897373:i=2448:gtgl=5:bd=preordered:gtg=all_2828 on theBenchmark for (2828ds/2448Mi)
% 154.69/22.69  % (3393380)Instruction limit reached! 
% 154.69/22.69  % (3393380)------------------------------
% 154.69/22.69  % (3393380)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 154.69/22.69  % (3393380)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 154.69/22.69  % (3393380)CaDiCaL version: 2.1.3
% 154.69/22.69  % (3393380)Termination reason: Instruction limit
% 154.69/22.69  % (3393380)Termination phase: Saturation
% 154.69/22.69  % (3393380)Time elapsed: 8.302 s
% 154.69/22.69  % (3393380)Peak memory usage: 244 MB
% 154.69/22.69  % (3393380)Instructions burned: 13915 (million)
% 154.69/22.69  % (3393792)Instruction limit reached! 
% 154.69/22.69  % (3393792)------------------------------
% 154.69/22.69  % (3393792)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 154.69/22.69  % (3393792)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 154.69/22.69  % (3393792)CaDiCaL version: 2.1.3
% 154.69/22.69  % (3393792)Termination reason: Instruction limit
% 154.69/22.69  % (3393792)Termination phase: Saturation
% 154.69/22.69  % (3393792)Time elapsed: 3.019 s
% 154.69/22.69  % (3393792)Peak memory usage: 125 MB
% 154.69/22.69  % (3393792)Instructions burned: 5781 (million)
% 154.69/22.69  % (3393797)lrs+1011_1_ncem=casc2026/models/loop5.pt:sil=32000:tgt=full:npcc=on:lcm=reverse:random_seed=3312236268:i=3223:kws=precedence:fgj=on:av=off_2819 on theBenchmark for (2819ds/3223Mi)
% 154.69/22.69  % (3393798)lrs+1002_1_ncem=casc2026/models/loop4.pt:sil=8000:npcc=on:sp=occurrence:sos=on:random_seed=2806079350:st=5.6:i=2033:sd=3:ss=axioms_2818 on theBenchmark for (2818ds/2033Mi)
% 154.69/22.69  % (3393795)Instruction limit reached! 
% 154.69/22.69  % (3393795)------------------------------
% 154.69/22.69  % (3393795)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 154.69/22.69  % (3393795)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 154.69/22.69  % (3393795)CaDiCaL version: 2.1.3
% 154.69/22.69  % (3393795)Termination reason: Instruction limit
% 154.69/22.69  % (3393795)Termination phase: Saturation
% 154.69/22.69  % (3393795)Time elapsed: 1.422 s
% 154.69/22.69  % (3393795)Peak memory usage: 146 MB
% 154.69/22.69  % (3393795)Instructions burned: 2449 (million)
% 154.69/22.69  % (3393801)lrs-1010_1_ncem=casc2026/models/loop8.pt:sil=64000:npcc=on:bsd=on:random_seed=2581011998:i=2055:nm=16:gtg=position:ss=axioms:fsd=on_2813 on theBenchmark for (2813ds/2055Mi)
% 154.69/22.69  % (3393798)Refutation not found, incomplete strategy
% 154.69/22.69  % (3393798)------------------------------
% 154.69/22.69  % (3393798)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 154.69/22.69  % (3393798)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 154.69/22.69  % (3393798)CaDiCaL version: 2.1.3
% 154.69/22.69  % (3393798)Termination reason: Refutation not found, incomplete strategy
% 154.69/22.69  % (3393798)Time elapsed: 0.632 s
% 154.69/22.69  % (3393798)Peak memory usage: 133 MB
% 154.69/22.69  % (3393798)Instructions burned: 952 (million)
% 154.69/22.69  % (3393798)------------------------------
% 154.69/22.69  % (3393798)------------------------------
% 154.69/22.69  % (3393803)dis+1010_1_ncem=casc2026/models/loop7.pt:sil=64000:tgt=full:npcc=on:fde=unused:sp=const_frequency:spb=goal:acc=on:random_seed=1488828551:i=21611:sd=3:ss=axioms_2808 on theBenchmark for (2808ds/21611Mi)
% 154.69/22.69  % (3393801)Refutation not found, incomplete strategy
% 154.69/22.69  % (3393801)------------------------------
% 154.69/22.69  % (3393801)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 154.69/22.69  % (3393801)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 154.69/22.69  % (3393801)CaDiCaL version: 2.1.3
% 154.69/22.69  % (3393801)Termination reason: Refutation not found, incomplete strategy
% 154.69/22.69  % (3393801)Time elapsed: 0.602 s
% 154.69/22.69  % (3393801)Peak memory usage: 128 MB
% 154.69/22.69  % (3393801)Instructions burned: 904 (million)
% 154.69/22.69  % (3393801)------------------------------
% 154.69/22.69  % (3393801)------------------------------
% 154.69/22.69  % (3393805)lrs+10_1_sil=8000:sp=occurrence:sos=all:lma=off:random_seed=4115318918:i=4835:sd=13:ss=axioms:sgt=23_2803 on theBenchmark for (2803ds/4835Mi)
% 154.69/22.69  % (3393797)Instruction limit reached! 
% 154.69/22.69  % (3393797)------------------------------
% 154.69/22.69  % (3393797)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 154.69/22.69  % (3393797)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 154.69/22.69  % (3393797)CaDiCaL version: 2.1.3
% 154.69/22.69  % (3393797)Termination reason: Instruction limit
% 154.69/22.69  % (3393797)Termination phase: Saturation
% 154.69/22.69  % (3393797)Time elapsed: 1.646 s
% 154.69/22.69  % (3393797)Peak memory usage: 136 MB
% 154.69/22.69  % (3393797)Instructions burned: 3224 (million)
% 154.69/22.69  % (3393803)Refutation not found, incomplete strategy
% 154.69/22.69  % (3393803)------------------------------
% 154.69/22.69  % (3393803)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 154.69/22.69  % (3393803)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 154.69/22.69  % (3393803)CaDiCaL version: 2.1.3
% 154.69/22.69  % (3393803)Termination reason: Refutation not found, incomplete strategy
% 154.69/22.69  % (3393803)Time elapsed: 0.602 s
% 154.69/22.69  % (3393803)Peak memory usage: 129 MB
% 154.69/22.69  % (3393803)Instructions burned: 904 (million)
% 154.69/22.69  % (3393807)lrs+10_1_to=lpo:sil=32000:plsq=on:plsqc=1:bsd=on:plsqr=64,1:sp=reverse_frequency:bsr=unit_only:plsql=on:fd=off:slsqc=4:newcnf=on:slsq=on:random_seed=3330701086:st=5:i=797:s2at=3:sd=4:bs=unit_only:av=off:sup=off:ss=included_2801 on theBenchmark for (2801ds/797Mi)
% 154.69/22.69  % (3393803)------------------------------
% 154.69/22.69  % (3393803)------------------------------
% 154.69/22.69  % (3393809)lrs-1011_5_sil=8000:sp=const_max:sos=on:lsd=50:rnwc=on:rp=on:nwc=2.6:alpa=false:random_seed=3890436959:i=2326:kws=inv_precedence:aac=none:nicw=on:bs=unit_only:nm=16:ins=2:fsd=on_2798 on theBenchmark for (2798ds/2326Mi)
% 154.69/22.69  % (3393807)Instruction limit reached! 
% 154.69/22.69  % (3393807)------------------------------
% 154.69/22.69  % (3393807)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 154.69/22.69  % (3393807)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 154.69/22.69  % (3393807)CaDiCaL version: 2.1.3
% 154.69/22.69  % (3393807)Termination reason: Instruction limit
% 154.69/22.69  % (3393807)Termination phase: Saturation
% 154.69/22.69  % (3393807)Time elapsed: 0.428 s
% 154.69/22.69  % (3393807)Peak memory usage: 93 MB
% 154.69/22.69  % (3393807)Instructions burned: 798 (million)
% 154.69/22.69  % (3393811)lrs+10_1_ncem=casc2026/models/loop5.pt:sil=8000:npcc=on:sos=all:urr=on:br=off:random_seed=1360559626:i=6038:nm=6_2795 on theBenchmark for (2795ds/6038Mi)
% 154.69/22.69  % (3393809)First to succeed.
% 154.69/22.69  % (3393809)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3393264"
% 154.69/22.69  % (3393809)Refutation found. Thanks to Tanya!
% 154.69/22.69  % SZS status Theorem for theBenchmark
% 154.69/22.69  % SZS output start Proof for theBenchmark
% See solution above
% 155.30/22.88  % (3393809)------------------------------
% 155.30/22.88  % (3393809)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 155.30/22.88  % (3393809)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 155.30/22.88  % (3393809)CaDiCaL version: 2.1.3
% 155.30/22.88  % (3393809)Termination reason: Refutation
% 155.30/22.88  % (3393809)Time elapsed: 1.229 s
% 155.30/22.88  % (3393809)Peak memory usage: 101 MB
% 155.30/22.88  % (3393809)Instructions burned: 1879 (million)
% 155.30/22.88  % (3393809)------------------------------
% 155.30/22.88  % (3393809)------------------------------
% 155.30/22.88  % (3393264)Success in time 21.846 s
% 155.30/22.88  % Vampire exiting
%------------------------------------------------------------------------------