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Vampire---5.0.1.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Vampire---5.0.1
% Problem  : NUM659+4 : TPTP v9.3.1. Released v7.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM

% Computer : n002.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 12:16:17 PM UTC 2026

% Result   : Theorem 8.66s 2.08s
% Output   : Refutation 9.14s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   22
%            Number of leaves      :   12
% Syntax   : Number of formulae    :   69 (  12 unt;   0 def)
%            Number of atoms       :  196 (   2 equ)
%            Maximal formula atoms :    8 (   2 avg)
%            Number of connectives :  199 (  72   ~;  93   |;  20   &)
%                                         (  10 <=>;   4  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   5 avg)
%            Maximal term depth    :    5 (   2 avg)
%            Number of predicates  :    5 (   3 usr;   1 prp; 0-2 aty)
%            Number of functors    :   18 (  18 usr;  10 con; 0-2 aty)
%            Number of variables   :   98 (  96   !;   2   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f115,axiom,
    ! [X0] :
      ( pp(scratc1539195832_d_not(X0))
    <=> pp(aa_bool_bool(aa_boo1142376798l_bool(scratc406326979nd_imp,X0),fFalse)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_def__d__not) ).

fof(f116,axiom,
    scratc406326979nd_imp = fimplies,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_def__imp) ).

fof(f147,axiom,
    ! [X0,X1] :
      ( pp(aa_fun171081125l_bool(scratc645885423all_of(X0),X1))
    <=> ! [X2] :
          ( gg_TPTP_ind(X2)
         => ( scratc296791402_is_of(X2,X0)
           => pp(aa_TPTP_ind_bool(X1,X2)) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_def__all__of) ).

fof(f153,axiom,
    pp(aa_fun171081125l_bool(scratc645885423all_of(aTP_Lamm_a),aTP_Lamm_bz)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_satz10e) ).

fof(f288,axiom,
    ! [X0] :
      ( pp(aa_TPTP_ind_bool(aTP_Lamm_bz,X0))
    <=> pp(aa_fun171081125l_bool(scratc645885423all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_by,X0))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_ATP_Olambda__38) ).

fof(f293,axiom,
    ! [X0] :
      ( pp(aa_TPTP_ind_bool(aTP_Lamm_ab,X0))
    <=> pp(aa_fun171081125l_bool(scratc645885423all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_aa,X0))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_ATP_Olambda__43) ).

fof(f325,axiom,
    ! [X0,X1] :
      ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_by,X0),X1))
    <=> ( pp(scratc1539195832_d_not(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1680403650_29_ii,X0),X1)))
       => pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1235493548lessis,X0),X1)) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_ATP_Olambda__75) ).

fof(f327,axiom,
    ! [X0,X1] :
      ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_aa,X0),X1))
    <=> ( pp(scratc1539195832_d_not(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1235493548lessis,X0),X1)))
       => pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1680403650_29_ii,X0),X1)) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_ATP_Olambda__77) ).

fof(f402,axiom,
    ~ pp(fFalse),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',help_fFalse_1_1_U) ).

fof(f403,axiom,
    ! [X0,X1] :
      ( ~ pp(aa_bool_bool(aa_boo1142376798l_bool(fimplies,X0),X1))
      | ~ pp(X0)
      | pp(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',help_fimplies_3_1_U) ).

fof(f405,axiom,
    ! [X0,X1] :
      ( pp(X0)
      | pp(aa_bool_bool(aa_boo1142376798l_bool(fimplies,X0),X1)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',help_fimplies_1_1_U) ).

fof(f412,conjecture,
    pp(aa_fun171081125l_bool(scratc645885423all_of(aTP_Lamm_a),aTP_Lamm_ab)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_0) ).

fof(f413,negated_conjecture,
    ~ pp(aa_fun171081125l_bool(scratc645885423all_of(aTP_Lamm_a),aTP_Lamm_ab)),
    inference(negated_conjecture,[status(cth)],[f412]) ).

fof(f414,plain,
    ~ pp(aa_fun171081125l_bool(scratc645885423all_of(aTP_Lamm_a),aTP_Lamm_ab)),
    inference(flattening,[],[f413]) ).

fof(f430,plain,
    ! [X0,X1] :
      ( pp(aa_fun171081125l_bool(scratc645885423all_of(X0),X1))
    <=> ! [X2] :
          ( pp(aa_TPTP_ind_bool(X1,X2))
          | ~ scratc296791402_is_of(X2,X0)
          | ~ gg_TPTP_ind(X2) ) ),
    inference(ennf_transformation,[],[f147]) ).

fof(f431,plain,
    ! [X0,X1] :
      ( pp(aa_fun171081125l_bool(scratc645885423all_of(X0),X1))
    <=> ! [X2] :
          ( pp(aa_TPTP_ind_bool(X1,X2))
          | ~ scratc296791402_is_of(X2,X0)
          | ~ gg_TPTP_ind(X2) ) ),
    inference(flattening,[],[f430]) ).

fof(f502,plain,
    ! [X0,X1] :
      ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_by,X0),X1))
    <=> ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1235493548lessis,X0),X1))
        | ~ pp(scratc1539195832_d_not(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1680403650_29_ii,X0),X1))) ) ),
    inference(ennf_transformation,[],[f325]) ).

fof(f504,plain,
    ! [X0,X1] :
      ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_aa,X0),X1))
    <=> ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1680403650_29_ii,X0),X1))
        | ~ pp(scratc1539195832_d_not(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1235493548lessis,X0),X1))) ) ),
    inference(ennf_transformation,[],[f327]) ).

fof(f581,plain,
    ! [X0] :
      ( ( pp(scratc1539195832_d_not(X0))
        | ~ pp(aa_bool_bool(aa_boo1142376798l_bool(scratc406326979nd_imp,X0),fFalse)) )
      & ( pp(aa_bool_bool(aa_boo1142376798l_bool(scratc406326979nd_imp,X0),fFalse))
        | ~ pp(scratc1539195832_d_not(X0)) ) ),
    inference(nnf_transformation,[],[f115]) ).

fof(f604,plain,
    ! [X0,X1] :
      ( ( pp(aa_fun171081125l_bool(scratc645885423all_of(X0),X1))
        | ? [X2] :
            ( ~ pp(aa_TPTP_ind_bool(X1,X2))
            & scratc296791402_is_of(X2,X0)
            & gg_TPTP_ind(X2) ) )
      & ( ! [X2] :
            ( pp(aa_TPTP_ind_bool(X1,X2))
            | ~ scratc296791402_is_of(X2,X0)
            | ~ gg_TPTP_ind(X2) )
        | ~ pp(aa_fun171081125l_bool(scratc645885423all_of(X0),X1)) ) ),
    inference(nnf_transformation,[],[f431]) ).

fof(f605,plain,
    ! [X0,X1] :
      ( ( pp(aa_fun171081125l_bool(scratc645885423all_of(X0),X1))
        | ? [X2] :
            ( ~ pp(aa_TPTP_ind_bool(X1,X2))
            & scratc296791402_is_of(X2,X0)
            & gg_TPTP_ind(X2) ) )
      & ( ! [X3] :
            ( pp(aa_TPTP_ind_bool(X1,X3))
            | ~ scratc296791402_is_of(X3,X0)
            | ~ gg_TPTP_ind(X3) )
        | ~ pp(aa_fun171081125l_bool(scratc645885423all_of(X0),X1)) ) ),
    inference(rectify,[],[f604]) ).

fof(f606,plain,
    ! [X0,X1] :
      ( ( pp(aa_fun171081125l_bool(scratc645885423all_of(X0),X1))
        | ( ~ pp(aa_TPTP_ind_bool(X1,sK12(X0,X1)))
          & scratc296791402_is_of(sK12(X0,X1),X0)
          & gg_TPTP_ind(sK12(X0,X1)) ) )
      & ( ! [X3] :
            ( pp(aa_TPTP_ind_bool(X1,X3))
            | ~ scratc296791402_is_of(X3,X0)
            | ~ gg_TPTP_ind(X3) )
        | ~ pp(aa_fun171081125l_bool(scratc645885423all_of(X0),X1)) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK12]),skolemize(X2,sK12(X0,X1))],[f605]) ).

fof(f663,plain,
    ! [X0] :
      ( ( pp(aa_TPTP_ind_bool(aTP_Lamm_bz,X0))
        | ~ pp(aa_fun171081125l_bool(scratc645885423all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_by,X0))) )
      & ( pp(aa_fun171081125l_bool(scratc645885423all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_by,X0)))
        | ~ pp(aa_TPTP_ind_bool(aTP_Lamm_bz,X0)) ) ),
    inference(nnf_transformation,[],[f288]) ).

fof(f668,plain,
    ! [X0] :
      ( ( pp(aa_TPTP_ind_bool(aTP_Lamm_ab,X0))
        | ~ pp(aa_fun171081125l_bool(scratc645885423all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_aa,X0))) )
      & ( pp(aa_fun171081125l_bool(scratc645885423all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_aa,X0)))
        | ~ pp(aa_TPTP_ind_bool(aTP_Lamm_ab,X0)) ) ),
    inference(nnf_transformation,[],[f293]) ).

fof(f712,plain,
    ! [X0,X1] :
      ( ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_by,X0),X1))
        | ( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1235493548lessis,X0),X1))
          & pp(scratc1539195832_d_not(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1680403650_29_ii,X0),X1))) ) )
      & ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1235493548lessis,X0),X1))
        | ~ pp(scratc1539195832_d_not(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1680403650_29_ii,X0),X1)))
        | ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_by,X0),X1)) ) ),
    inference(nnf_transformation,[],[f502]) ).

fof(f713,plain,
    ! [X0,X1] :
      ( ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_by,X0),X1))
        | ( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1235493548lessis,X0),X1))
          & pp(scratc1539195832_d_not(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1680403650_29_ii,X0),X1))) ) )
      & ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1235493548lessis,X0),X1))
        | ~ pp(scratc1539195832_d_not(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1680403650_29_ii,X0),X1)))
        | ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_by,X0),X1)) ) ),
    inference(flattening,[],[f712]) ).

fof(f716,plain,
    ! [X0,X1] :
      ( ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_aa,X0),X1))
        | ( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1680403650_29_ii,X0),X1))
          & pp(scratc1539195832_d_not(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1235493548lessis,X0),X1))) ) )
      & ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1680403650_29_ii,X0),X1))
        | ~ pp(scratc1539195832_d_not(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1235493548lessis,X0),X1)))
        | ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_aa,X0),X1)) ) ),
    inference(nnf_transformation,[],[f504]) ).

fof(f717,plain,
    ! [X0,X1] :
      ( ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_aa,X0),X1))
        | ( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1680403650_29_ii,X0),X1))
          & pp(scratc1539195832_d_not(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1235493548lessis,X0),X1))) ) )
      & ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1680403650_29_ii,X0),X1))
        | ~ pp(scratc1539195832_d_not(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1235493548lessis,X0),X1)))
        | ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_aa,X0),X1)) ) ),
    inference(flattening,[],[f716]) ).

fof(f959,plain,
    ! [X0] :
      ( pp(aa_bool_bool(aa_boo1142376798l_bool(scratc406326979nd_imp,X0),fFalse))
      | ~ pp(scratc1539195832_d_not(X0)) ),
    inference(cnf_transformation,[],[f581]) ).

fof(f960,plain,
    ! [X0] :
      ( pp(scratc1539195832_d_not(X0))
      | ~ pp(aa_bool_bool(aa_boo1142376798l_bool(scratc406326979nd_imp,X0),fFalse)) ),
    inference(cnf_transformation,[],[f581]) ).

fof(f961,plain,
    scratc406326979nd_imp = fimplies,
    inference(cnf_transformation,[],[f116]) ).

fof(f1023,plain,
    ! [X3,X0,X1] :
      ( ~ pp(aa_fun171081125l_bool(scratc645885423all_of(X0),X1))
      | ~ scratc296791402_is_of(X3,X0)
      | ~ gg_TPTP_ind(X3)
      | pp(aa_TPTP_ind_bool(X1,X3)) ),
    inference(cnf_transformation,[],[f606]) ).

fof(f1024,plain,
    ! [X0,X1] :
      ( pp(aa_fun171081125l_bool(scratc645885423all_of(X0),X1))
      | gg_TPTP_ind(sK12(X0,X1)) ),
    inference(cnf_transformation,[],[f606]) ).

fof(f1025,plain,
    ! [X0,X1] :
      ( scratc296791402_is_of(sK12(X0,X1),X0)
      | pp(aa_fun171081125l_bool(scratc645885423all_of(X0),X1)) ),
    inference(cnf_transformation,[],[f606]) ).

fof(f1026,plain,
    ! [X0,X1] :
      ( ~ pp(aa_TPTP_ind_bool(X1,sK12(X0,X1)))
      | pp(aa_fun171081125l_bool(scratc645885423all_of(X0),X1)) ),
    inference(cnf_transformation,[],[f606]) ).

fof(f1033,plain,
    pp(aa_fun171081125l_bool(scratc645885423all_of(aTP_Lamm_a),aTP_Lamm_bz)),
    inference(cnf_transformation,[],[f153]) ).

fof(f1235,plain,
    ! [X0] :
      ( ~ pp(aa_TPTP_ind_bool(aTP_Lamm_bz,X0))
      | pp(aa_fun171081125l_bool(scratc645885423all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_by,X0))) ),
    inference(cnf_transformation,[],[f663]) ).

fof(f1246,plain,
    ! [X0] :
      ( ~ pp(aa_fun171081125l_bool(scratc645885423all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_aa,X0)))
      | pp(aa_TPTP_ind_bool(aTP_Lamm_ab,X0)) ),
    inference(cnf_transformation,[],[f668]) ).

fof(f1319,plain,
    ! [X0,X1] :
      ( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_by,X0),X1))
      | ~ pp(scratc1539195832_d_not(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1680403650_29_ii,X0),X1)))
      | pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1235493548lessis,X0),X1)) ),
    inference(cnf_transformation,[],[f713]) ).

fof(f1326,plain,
    ! [X0,X1] :
      ( pp(scratc1539195832_d_not(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1235493548lessis,X0),X1)))
      | pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_aa,X0),X1)) ),
    inference(cnf_transformation,[],[f717]) ).

fof(f1327,plain,
    ! [X0,X1] :
      ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_aa,X0),X1))
      | ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1680403650_29_ii,X0),X1)) ),
    inference(cnf_transformation,[],[f717]) ).

fof(f1485,plain,
    ~ pp(fFalse),
    inference(cnf_transformation,[],[f402]) ).

fof(f1486,plain,
    ! [X0,X1] :
      ( ~ pp(aa_bool_bool(aa_boo1142376798l_bool(fimplies,X0),X1))
      | ~ pp(X0)
      | pp(X1) ),
    inference(cnf_transformation,[],[f403]) ).

fof(f1488,plain,
    ! [X0,X1] :
      ( pp(aa_bool_bool(aa_boo1142376798l_bool(fimplies,X0),X1))
      | pp(X0) ),
    inference(cnf_transformation,[],[f405]) ).

fof(f1495,plain,
    ~ pp(aa_fun171081125l_bool(scratc645885423all_of(aTP_Lamm_a),aTP_Lamm_ab)),
    inference(cnf_transformation,[],[f414]) ).

fof(f1553,plain,
    ! [X0] :
      ( ~ pp(aa_bool_bool(aa_boo1142376798l_bool(fimplies,X0),fFalse))
      | pp(scratc1539195832_d_not(X0)) ),
    inference(definition_unfolding,[],[f960,f961]) ).

fof(f1554,plain,
    ! [X0] :
      ( pp(aa_bool_bool(aa_boo1142376798l_bool(fimplies,X0),fFalse))
      | ~ pp(scratc1539195832_d_not(X0)) ),
    inference(definition_unfolding,[],[f959,f961]) ).

fof(f1782,plain,
    ! [X0] :
      ( ~ scratc296791402_is_of(X0,aTP_Lamm_a)
      | ~ gg_TPTP_ind(X0)
      | pp(aa_TPTP_ind_bool(aTP_Lamm_bz,X0)) ),
    inference(resolution,[],[f1033,f1023]) ).

fof(f1783,plain,
    ! [X0] :
      ( ~ gg_TPTP_ind(sK12(aTP_Lamm_a,X0))
      | pp(aa_TPTP_ind_bool(aTP_Lamm_bz,sK12(aTP_Lamm_a,X0)))
      | pp(aa_fun171081125l_bool(scratc645885423all_of(aTP_Lamm_a),X0)) ),
    inference(resolution,[],[f1782,f1025]) ).

fof(f1784,plain,
    ! [X0] :
      ( pp(aa_TPTP_ind_bool(aTP_Lamm_bz,sK12(aTP_Lamm_a,X0)))
      | pp(aa_fun171081125l_bool(scratc645885423all_of(aTP_Lamm_a),X0)) ),
    inference(forward_subsumption_resolution,[],[f1783,f1024]) ).

fof(f1877,plain,
    ! [X0] :
      ( ~ pp(scratc1539195832_d_not(X0))
      | ~ pp(X0)
      | pp(fFalse) ),
    inference(resolution,[],[f1554,f1486]) ).

fof(f1878,plain,
    ! [X0] :
      ( ~ pp(scratc1539195832_d_not(X0))
      | ~ pp(X0) ),
    inference(forward_subsumption_resolution,[],[f1877,f1485]) ).

fof(f1879,plain,
    ! [X0,X1] :
      ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_aa,X0),X1))
      | ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1235493548lessis,X0),X1)) ),
    inference(resolution,[],[f1878,f1326]) ).

fof(f1898,plain,
    ! [X0,X1] :
      ( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1235493548lessis,X0),sK12(X1,aa_TPT43085870d_bool(aTP_Lamm_aa,X0))))
      | pp(aa_fun171081125l_bool(scratc645885423all_of(X1),aa_TPT43085870d_bool(aTP_Lamm_aa,X0))) ),
    inference(resolution,[],[f1879,f1026]) ).

fof(f1914,plain,
    ! [X0,X1] :
      ( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1680403650_29_ii,X0),sK12(X1,aa_TPT43085870d_bool(aTP_Lamm_aa,X0))))
      | pp(aa_fun171081125l_bool(scratc645885423all_of(X1),aa_TPT43085870d_bool(aTP_Lamm_aa,X0))) ),
    inference(resolution,[],[f1327,f1026]) ).

fof(f1969,plain,
    ! [X0] :
      ( pp(aa_fun171081125l_bool(scratc645885423all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_by,sK12(aTP_Lamm_a,X0))))
      | pp(aa_fun171081125l_bool(scratc645885423all_of(aTP_Lamm_a),X0)) ),
    inference(resolution,[],[f1784,f1235]) ).

fof(f1972,plain,
    ! [X0,X1] :
      ( ~ scratc296791402_is_of(X1,aTP_Lamm_a)
      | pp(aa_fun171081125l_bool(scratc645885423all_of(aTP_Lamm_a),X0))
      | ~ gg_TPTP_ind(X1)
      | pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_by,sK12(aTP_Lamm_a,X0)),X1)) ),
    inference(resolution,[],[f1969,f1023]) ).

fof(f1973,plain,
    ! [X0,X1] :
      ( pp(aa_fun171081125l_bool(scratc645885423all_of(aTP_Lamm_a),X0))
      | ~ gg_TPTP_ind(sK12(aTP_Lamm_a,X1))
      | pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_by,sK12(aTP_Lamm_a,X0)),sK12(aTP_Lamm_a,X1)))
      | pp(aa_fun171081125l_bool(scratc645885423all_of(aTP_Lamm_a),X1)) ),
    inference(resolution,[],[f1972,f1025]) ).

fof(f1974,plain,
    ! [X0,X1] :
      ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_by,sK12(aTP_Lamm_a,X0)),sK12(aTP_Lamm_a,X1)))
      | pp(aa_fun171081125l_bool(scratc645885423all_of(aTP_Lamm_a),X0))
      | pp(aa_fun171081125l_bool(scratc645885423all_of(aTP_Lamm_a),X1)) ),
    inference(forward_subsumption_resolution,[],[f1973,f1024]) ).

fof(f1975,plain,
    ! [X0,X1] :
      ( ~ pp(scratc1539195832_d_not(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1680403650_29_ii,sK12(aTP_Lamm_a,X0)),sK12(aTP_Lamm_a,X1))))
      | pp(aa_fun171081125l_bool(scratc645885423all_of(aTP_Lamm_a),X1))
      | pp(aa_fun171081125l_bool(scratc645885423all_of(aTP_Lamm_a),X0))
      | pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1235493548lessis,sK12(aTP_Lamm_a,X0)),sK12(aTP_Lamm_a,X1))) ),
    inference(resolution,[],[f1974,f1319]) ).

fof(f2546,plain,
    ! [X0] :
      ( pp(scratc1539195832_d_not(X0))
      | pp(X0) ),
    inference(resolution,[],[f1553,f1488]) ).

fof(f2552,plain,
    ! [X0,X1] :
      ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1235493548lessis,sK12(aTP_Lamm_a,X0)),sK12(aTP_Lamm_a,X1)))
      | pp(aa_fun171081125l_bool(scratc645885423all_of(aTP_Lamm_a),X1))
      | pp(aa_fun171081125l_bool(scratc645885423all_of(aTP_Lamm_a),X0))
      | pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1680403650_29_ii,sK12(aTP_Lamm_a,X0)),sK12(aTP_Lamm_a,X1))) ),
    inference(resolution,[],[f2546,f1975]) ).

fof(f2572,plain,
    ! [X0] :
      ( pp(aa_fun171081125l_bool(scratc645885423all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_aa,sK12(aTP_Lamm_a,X0))))
      | pp(aa_fun171081125l_bool(scratc645885423all_of(aTP_Lamm_a),X0))
      | pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1680403650_29_ii,sK12(aTP_Lamm_a,X0)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa,sK12(aTP_Lamm_a,X0)))))
      | pp(aa_fun171081125l_bool(scratc645885423all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_aa,sK12(aTP_Lamm_a,X0)))) ),
    inference(resolution,[],[f2552,f1898]) ).

fof(f2579,plain,
    ! [X0] :
      ( pp(aa_fun171081125l_bool(scratc645885423all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_aa,sK12(aTP_Lamm_a,X0))))
      | pp(aa_fun171081125l_bool(scratc645885423all_of(aTP_Lamm_a),X0))
      | pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1680403650_29_ii,sK12(aTP_Lamm_a,X0)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa,sK12(aTP_Lamm_a,X0))))) ),
    inference(duplicate_literal_removal,[],[f2572]) ).

fof(f2580,plain,
    ! [X0] :
      ( pp(aa_fun171081125l_bool(scratc645885423all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_aa,sK12(aTP_Lamm_a,X0))))
      | pp(aa_fun171081125l_bool(scratc645885423all_of(aTP_Lamm_a),X0)) ),
    inference(forward_subsumption_resolution,[],[f2579,f1914]) ).

fof(f2581,plain,
    ! [X0] :
      ( pp(aa_TPTP_ind_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,X0)))
      | pp(aa_fun171081125l_bool(scratc645885423all_of(aTP_Lamm_a),X0)) ),
    inference(resolution,[],[f2580,f1246]) ).

fof(f2585,plain,
    ( pp(aa_fun171081125l_bool(scratc645885423all_of(aTP_Lamm_a),aTP_Lamm_ab))
    | pp(aa_fun171081125l_bool(scratc645885423all_of(aTP_Lamm_a),aTP_Lamm_ab)) ),
    inference(resolution,[],[f2581,f1026]) ).

fof(f2586,plain,
    pp(aa_fun171081125l_bool(scratc645885423all_of(aTP_Lamm_a),aTP_Lamm_ab)),
    inference(duplicate_literal_removal,[],[f2585]) ).

fof(f2587,plain,
    $false,
    inference(forward_subsumption_resolution,[],[f2586,f1495]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : NUM659+4 : TPTP v9.3.1. Released v7.3.0.
% 0.00/0.05  % Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.37  % Computer : n002.cluster.edu
% 0.12/0.37  % Model    : x86_64 x86_64
% 0.12/0.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.37  % Memory   : 8046.5625MB
% 0.12/0.37  % OS       : Linux 6.8.0-71-generic
% 0.12/0.37  % CPULimit : 300
% 0.12/0.37  % WCLimit  : 300
% 0.12/0.37  % DateTime : Sun Sep 27 21:03:03 UTC 2026
% 0.12/0.37  % CPUTime  : 
% 0.12/0.37  Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.41  Running first-order theorem proving
% 0.12/0.41  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
% 8.66/2.08  % (3875082)Detected formulas, will run a generic FOF schedule.
% 8.66/2.08  % (3875088)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=3905551524:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 8.66/2.08  % (3875087)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=132373235:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 8.66/2.08  % (3875089)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=3761744896:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 8.66/2.08  % (3875093)dis-21_1_sil=8000:lcm=predicate:random_seed=500187699:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/129Mi)
% 8.66/2.08  % (3875091)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=3381604507:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 8.66/2.08  % (3875090)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=3699282069:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 8.66/2.08  % (3875090)Refutation not found, incomplete strategy
% 8.66/2.08  % (3875090)------------------------------
% 8.66/2.08  % (3875090)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.66/2.08  % (3875090)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.66/2.08  % (3875090)CaDiCaL version: 2.1.3
% 8.66/2.08  % (3875090)Termination reason: Refutation not found, incomplete strategy
% 8.66/2.08  % (3875090)Time elapsed: 0.002 s
% 8.66/2.08  % (3875090)Peak memory usage: 87 MB
% 8.66/2.08  % (3875090)Instructions burned: 1 (million)
% 8.66/2.08  % (3875091)Refutation not found, incomplete strategy
% 8.66/2.08  % (3875091)------------------------------
% 8.66/2.08  % (3875091)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.66/2.08  % (3875091)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.66/2.08  % (3875091)CaDiCaL version: 2.1.3
% 8.66/2.08  % (3875091)Termination reason: Refutation not found, incomplete strategy
% 8.66/2.08  % (3875091)Time elapsed: 0.002 s
% 8.66/2.08  % (3875091)Peak memory usage: 88 MB
% 8.66/2.08  % (3875091)Instructions burned: 2 (million)
% 8.66/2.08  % (3875092)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3412881093:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 8.66/2.08  % (3875093)Instruction limit reached! 
% 8.66/2.08  % (3875093)------------------------------
% 8.66/2.08  % (3875093)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.66/2.08  % (3875093)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.66/2.08  % (3875093)CaDiCaL version: 2.1.3
% 8.66/2.08  % (3875093)Termination reason: Instruction limit
% 8.66/2.08  % (3875093)Termination phase: Saturation
% 8.66/2.08  % (3875093)Time elapsed: 0.077 s
% 8.66/2.08  % (3875093)Peak memory usage: 90 MB
% 8.66/2.08  % (3875093)Instructions burned: 129 (million)
% 8.66/2.08  % (3875092)Instruction limit reached! 
% 8.66/2.08  % (3875092)------------------------------
% 8.66/2.08  % (3875092)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.66/2.08  % (3875092)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.66/2.08  % (3875092)CaDiCaL version: 2.1.3
% 8.66/2.08  % (3875092)Termination reason: Instruction limit
% 8.66/2.08  % (3875092)Termination phase: Saturation
% 8.66/2.08  % (3875092)Time elapsed: 0.089 s
% 8.66/2.08  % (3875092)Peak memory usage: 90 MB
% 8.66/2.08  % (3875092)Instructions burned: 140 (million)
% 8.66/2.08  % (3875101)lrs+10_1_sil=8000:sp=occurrence:random_seed=1555806411:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 8.66/2.08  % (3875101)Refutation not found, incomplete strategy
% 8.66/2.08  % (3875101)------------------------------
% 8.66/2.08  % (3875101)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.66/2.08  % (3875101)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.66/2.08  % (3875101)CaDiCaL version: 2.1.3
% 8.66/2.08  % (3875101)Termination reason: Refutation not found, incomplete strategy
% 8.66/2.08  % (3875101)Time elapsed: 0.003 s
% 8.66/2.08  % (3875101)Peak memory usage: 88 MB
% 8.66/2.08  % (3875101)Instructions burned: 3 (million)
% 8.66/2.08  % (3875091)------------------------------
% 8.66/2.08  % (3875091)------------------------------
% 8.66/2.08  % (3875090)------------------------------
% 8.66/2.08  % (3875090)------------------------------
% 8.66/2.08  % (3875102)lrs+10_1_sil=32000:urr=on:br=off:random_seed=4004364691:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 8.66/2.08  % (3875102)Refutation not found, incomplete strategy
% 8.66/2.08  % (3875102)------------------------------
% 8.66/2.08  % (3875102)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.66/2.08  % (3875102)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.66/2.08  % (3875102)CaDiCaL version: 2.1.3
% 8.66/2.08  % (3875102)Termination reason: Refutation not found, incomplete strategy
% 8.66/2.08  % (3875102)Time elapsed: 0.004 s
% 8.66/2.08  % (3875102)Peak memory usage: 88 MB
% 8.66/2.08  % (3875102)Instructions burned: 6 (million)
% 8.66/2.08  % (3875105)lrs+1011_1_sil=32000:sp=occurrence:random_seed=293479293:i=325:sd=1:ss=axioms:sgt=32_2995 on theBenchmark for (2995ds/325Mi)
% 8.66/2.08  % (3875105)Refutation not found, incomplete strategy
% 8.66/2.08  % (3875105)------------------------------
% 8.66/2.08  % (3875105)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.66/2.08  % (3875105)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.66/2.08  % (3875105)CaDiCaL version: 2.1.3
% 8.66/2.08  % (3875105)Termination reason: Refutation not found, incomplete strategy
% 8.66/2.08  % (3875105)Time elapsed: 0.003 s
% 8.66/2.08  % (3875105)Peak memory usage: 89 MB
% 8.66/2.08  % (3875105)Instructions burned: 4 (million)
% 8.66/2.08  % (3875106)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=792749240:s2a=on:i=248:s2at=1.23:gtg=position_2995 on theBenchmark for (2995ds/248Mi)
% 8.66/2.08  % (3875101)------------------------------
% 8.66/2.08  % (3875101)------------------------------
% 8.66/2.08  % (3875102)------------------------------
% 8.66/2.08  % (3875102)------------------------------
% 8.66/2.08  % (3875105)------------------------------
% 8.66/2.08  % (3875105)------------------------------
% 8.66/2.08  % (3875106)Instruction limit reached! 
% 8.66/2.08  % (3875106)------------------------------
% 8.66/2.08  % (3875106)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.66/2.08  % (3875106)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.66/2.08  % (3875106)CaDiCaL version: 2.1.3
% 8.66/2.08  % (3875106)Termination reason: Instruction limit
% 8.66/2.08  % (3875106)Termination phase: Saturation
% 8.66/2.08  % (3875106)Time elapsed: 0.149 s
% 8.66/2.08  % (3875106)Peak memory usage: 93 MB
% 8.66/2.08  % (3875106)Instructions burned: 248 (million)
% 8.66/2.08  % (3875109)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=126850711:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2993 on theBenchmark for (2993ds/294Mi)
% 8.66/2.08  % (3875109)Refutation not found, incomplete strategy
% 8.66/2.08  % (3875109)------------------------------
% 8.66/2.08  % (3875109)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.66/2.08  % (3875109)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.66/2.08  % (3875109)CaDiCaL version: 2.1.3
% 8.66/2.08  % (3875109)Termination reason: Refutation not found, incomplete strategy
% 8.66/2.08  % (3875109)Time elapsed: 0.005 s
% 8.66/2.08  % (3875109)Peak memory usage: 88 MB
% 8.66/2.08  % (3875109)Instructions burned: 5 (million)
% 8.66/2.08  % (3875111)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=2274156556:cts=off:i=113:fsr=off:ss=included:sgt=4_2992 on theBenchmark for (2992ds/113Mi)
% 8.66/2.08  % (3875110)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=1315894097:i=2350_2992 on theBenchmark for (2992ds/2350Mi)
% 8.66/2.08  % (3875111)Instruction limit reached! 
% 8.66/2.08  % (3875111)------------------------------
% 8.66/2.08  % (3875111)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.66/2.08  % (3875111)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.66/2.08  % (3875111)CaDiCaL version: 2.1.3
% 8.66/2.08  % (3875111)Termination reason: Instruction limit
% 8.66/2.08  % (3875111)Termination phase: Saturation
% 8.66/2.08  % (3875111)Time elapsed: 0.037 s
% 8.66/2.08  % (3875111)Peak memory usage: 90 MB
% 8.66/2.08  % (3875111)Instructions burned: 116 (million)
% 8.66/2.08  % (3875112)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=2048028640:i=127:av=off:fsr=off:sup=off_2992 on theBenchmark for (2992ds/127Mi)
% 8.66/2.08  % (3875088)First to succeed.
% 8.66/2.08  % (3875088)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3875082"
% 8.66/2.08  % (3875112)Instruction limit reached! 
% 8.66/2.08  % (3875112)------------------------------
% 8.66/2.08  % (3875112)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.66/2.08  % (3875112)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.66/2.08  % (3875112)CaDiCaL version: 2.1.3
% 8.66/2.08  % (3875112)Termination reason: Instruction limit
% 8.66/2.08  % (3875112)Termination phase: Saturation
% 8.66/2.08  % (3875112)Time elapsed: 0.063 s
% 8.66/2.08  % (3875112)Peak memory usage: 89 MB
% 8.66/2.08  % (3875112)Instructions burned: 127 (million)
% 8.66/2.08  % (3875116)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=2622489233:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2991 on theBenchmark for (2991ds/114Mi)
% 8.66/2.08  % (3875116)Instruction limit reached! 
% 8.66/2.08  % (3875116)------------------------------
% 8.66/2.08  % (3875116)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.66/2.08  % (3875116)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.66/2.08  % (3875116)CaDiCaL version: 2.1.3
% 8.66/2.08  % (3875116)Termination reason: Instruction limit
% 8.66/2.08  % (3875116)Termination phase: Saturation
% 8.66/2.08  % (3875116)Time elapsed: 0.035 s
% 8.66/2.08  % (3875116)Peak memory usage: 89 MB
% 8.66/2.08  % (3875116)Instructions burned: 119 (million)
% 8.66/2.08  % (3875109)------------------------------
% 8.66/2.08  % (3875109)------------------------------
% 8.66/2.08  % (3875118)lrs+10_1_sil=8000:sp=occurrence:random_seed=1696255739:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2990 on theBenchmark for (2990ds/907Mi)
% 8.66/2.08  % (3875120)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=1648071111:i=437:sd=1:aac=none:ss=included_2989 on theBenchmark for (2989ds/437Mi)
% 8.66/2.08  % (3875120)Refutation not found, incomplete strategy
% 8.66/2.08  % (3875120)------------------------------
% 8.66/2.08  % (3875120)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.66/2.08  % (3875120)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.66/2.08  % (3875120)CaDiCaL version: 2.1.3
% 8.66/2.08  % (3875120)Termination reason: Refutation not found, incomplete strategy
% 8.66/2.08  % (3875120)Time elapsed: 0.016 s
% 8.66/2.08  % (3875120)Peak memory usage: 90 MB
% 8.66/2.08  % (3875120)Instructions burned: 55 (million)
% 8.66/2.08  % (3875088)Refutation found. Thanks to Tanya!
% 8.66/2.08  % SZS status Theorem for theBenchmark
% 8.66/2.08  % SZS output start Proof for theBenchmark
% See solution above
% 9.14/2.27  % (3875088)------------------------------
% 9.14/2.27  % (3875088)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.14/2.27  % (3875088)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.14/2.27  % (3875088)CaDiCaL version: 2.1.3
% 9.14/2.27  % (3875088)Termination reason: Refutation
% 9.14/2.27  % (3875088)Time elapsed: 0.812 s
% 9.14/2.27  % (3875088)Peak memory usage: 140 MB
% 9.14/2.27  % (3875088)Instructions burned: 1578 (million)
% 9.14/2.27  % (3875088)------------------------------
% 9.14/2.27  % (3875088)------------------------------
% 9.14/2.27  % (3875082)Success in time 1.229 s
% 9.14/2.27  % Vampire exiting
%------------------------------------------------------------------------------