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Vampire---5.0.1.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Vampire---5.0.1
% Problem  : NUM736+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 : n008.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 12:16:43 PM UTC 2026

% Result   : Theorem 10.08s 2.39s
% Output   : Refutation 10.94s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   15
%            Number of leaves      :   11
% Syntax   : Number of formulae    :   53 (  17 unt;   2 def)
%            Number of atoms       :  133 (   6 equ)
%            Maximal formula atoms :    8 (   2 avg)
%            Number of connectives :  129 (  49   ~;  49   |;  18   &)
%                                         (  10 <=>;   3  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   4 avg)
%            Maximal term depth    :    7 (   2 avg)
%            Number of predicates  :    5 (   3 usr;   1 prp; 0-2 aty)
%            Number of functors    :   23 (  23 usr;  14 con; 0-2 aty)
%            Number of variables   :   83 (  81   !;   2   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f31,axiom,
    ! [X0,X1] :
      ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc550632248_lessf,X0),X1))
    <=> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1575674740nd_iii,aa_TPTP_ind_TPTP_ind(scratc128556792d_n_ts(aa_TPTP_ind_TPTP_ind(scratc1617769457nd_num,X0)),aa_TPTP_ind_TPTP_ind(scratc1534104824nd_den,X1))),aa_TPTP_ind_TPTP_ind(scratc128556792d_n_ts(aa_TPTP_ind_TPTP_ind(scratc1617769457nd_num,X1)),aa_TPTP_ind_TPTP_ind(scratc1534104824nd_den,X0)))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_def__lessf) ).

fof(f32,axiom,
    ! [X0,X1] :
      ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc896954044_moref,X0),X1))
    <=> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc125826166_29_ii,aa_TPTP_ind_TPTP_ind(scratc128556792d_n_ts(aa_TPTP_ind_TPTP_ind(scratc1617769457nd_num,X0)),aa_TPTP_ind_TPTP_ind(scratc1534104824nd_den,X1))),aa_TPTP_ind_TPTP_ind(scratc128556792d_n_ts(aa_TPTP_ind_TPTP_ind(scratc1617769457nd_num,X1)),aa_TPTP_ind_TPTP_ind(scratc1534104824nd_den,X0)))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_def__moref) ).

fof(f64,axiom,
    ! [X0] : scratc128556792d_n_ts(X0) = aa_TPT1424761345TP_ind(scratc694986820bnd_ap,aa_TPTP_ind_TPTP_ind(scratc2001589713_times,X0)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_def__n__ts) ).

fof(f77,axiom,
    ! [X0,X1] :
      ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1575674740nd_iii,X0),X1))
    <=> pp(aa_fun171081125l_bool(scratc1523036013n_some,aa_TPT43085870d_bool(scratc1590329917ffprop(X1),X0))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_def__iii) ).

fof(f78,axiom,
    ! [X0,X1] :
      ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc125826166_29_ii,X0),X1))
    <=> pp(aa_fun171081125l_bool(scratc1523036013n_some,aa_TPT43085870d_bool(scratc1590329917ffprop(X0),X1))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_def__d__29__ii) ).

fof(f196,axiom,
    ! [X0,X1] :
      ( pp(aa_fun171081125l_bool(scratc1668550563all_of(X0),X1))
    <=> ! [X2] :
          ( gg_TPTP_ind(X2)
         => ( scratc1458855606_is_of(X2,X0)
           => pp(aa_TPTP_ind_bool(X1,X2)) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_def__all__of) ).

fof(f539,axiom,
    ! [X0] :
      ( pp(aa_TPTP_ind_bool(aTP_Lamm_ab,X0))
    <=> pp(aa_fun171081125l_bool(scratc1668550563all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_aa,X0))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_ATP_Olambda__140) ).

fof(f581,axiom,
    ! [X0,X1] :
      ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_aa,X0),X1))
    <=> ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc896954044_moref,X0),X1))
       => pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc550632248_lessf,X1),X0)) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_ATP_Olambda__182) ).

fof(f841,conjecture,
    pp(aa_fun171081125l_bool(scratc1668550563all_of(aTP_Lamm_a),aTP_Lamm_ab)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_0) ).

fof(f842,negated_conjecture,
    ~ pp(aa_fun171081125l_bool(scratc1668550563all_of(aTP_Lamm_a),aTP_Lamm_ab)),
    inference(negated_conjecture,[status(cth)],[f841]) ).

fof(f843,plain,
    ~ pp(aa_fun171081125l_bool(scratc1668550563all_of(aTP_Lamm_a),aTP_Lamm_ab)),
    inference(flattening,[],[f842]) ).

fof(f860,plain,
    ! [X0,X1] :
      ( pp(aa_fun171081125l_bool(scratc1668550563all_of(X0),X1))
    <=> ! [X2] :
          ( pp(aa_TPTP_ind_bool(X1,X2))
          | ~ scratc1458855606_is_of(X2,X0)
          | ~ gg_TPTP_ind(X2) ) ),
    inference(ennf_transformation,[],[f196]) ).

fof(f861,plain,
    ! [X0,X1] :
      ( pp(aa_fun171081125l_bool(scratc1668550563all_of(X0),X1))
    <=> ! [X2] :
          ( pp(aa_TPTP_ind_bool(X1,X2))
          | ~ scratc1458855606_is_of(X2,X0)
          | ~ gg_TPTP_ind(X2) ) ),
    inference(flattening,[],[f860]) ).

fof(f937,plain,
    ! [X0,X1] :
      ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_aa,X0),X1))
    <=> ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc550632248_lessf,X1),X0))
        | ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc896954044_moref,X0),X1)) ) ),
    inference(ennf_transformation,[],[f581]) ).

fof(f1065,plain,
    ! [X0,X1] :
      ( ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc550632248_lessf,X0),X1))
        | ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1575674740nd_iii,aa_TPTP_ind_TPTP_ind(scratc128556792d_n_ts(aa_TPTP_ind_TPTP_ind(scratc1617769457nd_num,X0)),aa_TPTP_ind_TPTP_ind(scratc1534104824nd_den,X1))),aa_TPTP_ind_TPTP_ind(scratc128556792d_n_ts(aa_TPTP_ind_TPTP_ind(scratc1617769457nd_num,X1)),aa_TPTP_ind_TPTP_ind(scratc1534104824nd_den,X0)))) )
      & ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1575674740nd_iii,aa_TPTP_ind_TPTP_ind(scratc128556792d_n_ts(aa_TPTP_ind_TPTP_ind(scratc1617769457nd_num,X0)),aa_TPTP_ind_TPTP_ind(scratc1534104824nd_den,X1))),aa_TPTP_ind_TPTP_ind(scratc128556792d_n_ts(aa_TPTP_ind_TPTP_ind(scratc1617769457nd_num,X1)),aa_TPTP_ind_TPTP_ind(scratc1534104824nd_den,X0))))
        | ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc550632248_lessf,X0),X1)) ) ),
    inference(nnf_transformation,[],[f31]) ).

fof(f1066,plain,
    ! [X0,X1] :
      ( ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc896954044_moref,X0),X1))
        | ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc125826166_29_ii,aa_TPTP_ind_TPTP_ind(scratc128556792d_n_ts(aa_TPTP_ind_TPTP_ind(scratc1617769457nd_num,X0)),aa_TPTP_ind_TPTP_ind(scratc1534104824nd_den,X1))),aa_TPTP_ind_TPTP_ind(scratc128556792d_n_ts(aa_TPTP_ind_TPTP_ind(scratc1617769457nd_num,X1)),aa_TPTP_ind_TPTP_ind(scratc1534104824nd_den,X0)))) )
      & ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc125826166_29_ii,aa_TPTP_ind_TPTP_ind(scratc128556792d_n_ts(aa_TPTP_ind_TPTP_ind(scratc1617769457nd_num,X0)),aa_TPTP_ind_TPTP_ind(scratc1534104824nd_den,X1))),aa_TPTP_ind_TPTP_ind(scratc128556792d_n_ts(aa_TPTP_ind_TPTP_ind(scratc1617769457nd_num,X1)),aa_TPTP_ind_TPTP_ind(scratc1534104824nd_den,X0))))
        | ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc896954044_moref,X0),X1)) ) ),
    inference(nnf_transformation,[],[f32]) ).

fof(f1080,plain,
    ! [X0,X1] :
      ( ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1575674740nd_iii,X0),X1))
        | ~ pp(aa_fun171081125l_bool(scratc1523036013n_some,aa_TPT43085870d_bool(scratc1590329917ffprop(X1),X0))) )
      & ( pp(aa_fun171081125l_bool(scratc1523036013n_some,aa_TPT43085870d_bool(scratc1590329917ffprop(X1),X0)))
        | ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1575674740nd_iii,X0),X1)) ) ),
    inference(nnf_transformation,[],[f77]) ).

fof(f1081,plain,
    ! [X0,X1] :
      ( ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc125826166_29_ii,X0),X1))
        | ~ pp(aa_fun171081125l_bool(scratc1523036013n_some,aa_TPT43085870d_bool(scratc1590329917ffprop(X0),X1))) )
      & ( pp(aa_fun171081125l_bool(scratc1523036013n_some,aa_TPT43085870d_bool(scratc1590329917ffprop(X0),X1)))
        | ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc125826166_29_ii,X0),X1)) ) ),
    inference(nnf_transformation,[],[f78]) ).

fof(f1144,plain,
    ! [X0,X1] :
      ( ( pp(aa_fun171081125l_bool(scratc1668550563all_of(X0),X1))
        | ? [X2] :
            ( ~ pp(aa_TPTP_ind_bool(X1,X2))
            & scratc1458855606_is_of(X2,X0)
            & gg_TPTP_ind(X2) ) )
      & ( ! [X2] :
            ( pp(aa_TPTP_ind_bool(X1,X2))
            | ~ scratc1458855606_is_of(X2,X0)
            | ~ gg_TPTP_ind(X2) )
        | ~ pp(aa_fun171081125l_bool(scratc1668550563all_of(X0),X1)) ) ),
    inference(nnf_transformation,[],[f861]) ).

fof(f1145,plain,
    ! [X0,X1] :
      ( ( pp(aa_fun171081125l_bool(scratc1668550563all_of(X0),X1))
        | ? [X2] :
            ( ~ pp(aa_TPTP_ind_bool(X1,X2))
            & scratc1458855606_is_of(X2,X0)
            & gg_TPTP_ind(X2) ) )
      & ( ! [X3] :
            ( pp(aa_TPTP_ind_bool(X1,X3))
            | ~ scratc1458855606_is_of(X3,X0)
            | ~ gg_TPTP_ind(X3) )
        | ~ pp(aa_fun171081125l_bool(scratc1668550563all_of(X0),X1)) ) ),
    inference(rectify,[],[f1144]) ).

fof(f1146,plain,
    ! [X0,X1] :
      ( ( pp(aa_fun171081125l_bool(scratc1668550563all_of(X0),X1))
        | ( ~ pp(aa_TPTP_ind_bool(X1,sK12(X0,X1)))
          & scratc1458855606_is_of(sK12(X0,X1),X0)
          & gg_TPTP_ind(sK12(X0,X1)) ) )
      & ( ! [X3] :
            ( pp(aa_TPTP_ind_bool(X1,X3))
            | ~ scratc1458855606_is_of(X3,X0)
            | ~ gg_TPTP_ind(X3) )
        | ~ pp(aa_fun171081125l_bool(scratc1668550563all_of(X0),X1)) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK12]),skolemize(X2,sK12(X0,X1))],[f1145]) ).

fof(f1305,plain,
    ! [X0] :
      ( ( pp(aa_TPTP_ind_bool(aTP_Lamm_ab,X0))
        | ~ pp(aa_fun171081125l_bool(scratc1668550563all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_aa,X0))) )
      & ( pp(aa_fun171081125l_bool(scratc1668550563all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_aa,X0)))
        | ~ pp(aa_TPTP_ind_bool(aTP_Lamm_ab,X0)) ) ),
    inference(nnf_transformation,[],[f539]) ).

fof(f1363,plain,
    ! [X0,X1] :
      ( ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_aa,X0),X1))
        | ( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc550632248_lessf,X1),X0))
          & pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc896954044_moref,X0),X1)) ) )
      & ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc550632248_lessf,X1),X0))
        | ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc896954044_moref,X0),X1))
        | ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_aa,X0),X1)) ) ),
    inference(nnf_transformation,[],[f937]) ).

fof(f1364,plain,
    ! [X0,X1] :
      ( ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_aa,X0),X1))
        | ( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc550632248_lessf,X1),X0))
          & pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc896954044_moref,X0),X1)) ) )
      & ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc550632248_lessf,X1),X0))
        | ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc896954044_moref,X0),X1))
        | ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_aa,X0),X1)) ) ),
    inference(flattening,[],[f1363]) ).

fof(f1711,plain,
    ! [X0,X1] :
      ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc550632248_lessf,X0),X1))
      | ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1575674740nd_iii,aa_TPTP_ind_TPTP_ind(scratc128556792d_n_ts(aa_TPTP_ind_TPTP_ind(scratc1617769457nd_num,X0)),aa_TPTP_ind_TPTP_ind(scratc1534104824nd_den,X1))),aa_TPTP_ind_TPTP_ind(scratc128556792d_n_ts(aa_TPTP_ind_TPTP_ind(scratc1617769457nd_num,X1)),aa_TPTP_ind_TPTP_ind(scratc1534104824nd_den,X0)))) ),
    inference(cnf_transformation,[],[f1065]) ).

fof(f1712,plain,
    ! [X0,X1] :
      ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc125826166_29_ii,aa_TPTP_ind_TPTP_ind(scratc128556792d_n_ts(aa_TPTP_ind_TPTP_ind(scratc1617769457nd_num,X0)),aa_TPTP_ind_TPTP_ind(scratc1534104824nd_den,X1))),aa_TPTP_ind_TPTP_ind(scratc128556792d_n_ts(aa_TPTP_ind_TPTP_ind(scratc1617769457nd_num,X1)),aa_TPTP_ind_TPTP_ind(scratc1534104824nd_den,X0))))
      | ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc896954044_moref,X0),X1)) ),
    inference(cnf_transformation,[],[f1066]) ).

fof(f1749,plain,
    ! [X0] : scratc128556792d_n_ts(X0) = aa_TPT1424761345TP_ind(scratc694986820bnd_ap,aa_TPTP_ind_TPTP_ind(scratc2001589713_times,X0)),
    inference(cnf_transformation,[],[f64]) ).

fof(f1772,plain,
    ! [X0,X1] :
      ( ~ pp(aa_fun171081125l_bool(scratc1523036013n_some,aa_TPT43085870d_bool(scratc1590329917ffprop(X1),X0)))
      | pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1575674740nd_iii,X0),X1)) ),
    inference(cnf_transformation,[],[f1080]) ).

fof(f1773,plain,
    ! [X0,X1] :
      ( pp(aa_fun171081125l_bool(scratc1523036013n_some,aa_TPT43085870d_bool(scratc1590329917ffprop(X0),X1)))
      | ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc125826166_29_ii,X0),X1)) ),
    inference(cnf_transformation,[],[f1081]) ).

fof(f1962,plain,
    ! [X0,X1] :
      ( ~ pp(aa_TPTP_ind_bool(X1,sK12(X0,X1)))
      | pp(aa_fun171081125l_bool(scratc1668550563all_of(X0),X1)) ),
    inference(cnf_transformation,[],[f1146]) ).

fof(f2476,plain,
    ! [X0] :
      ( ~ pp(aa_fun171081125l_bool(scratc1668550563all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_aa,X0)))
      | pp(aa_TPTP_ind_bool(aTP_Lamm_ab,X0)) ),
    inference(cnf_transformation,[],[f1305]) ).

fof(f2574,plain,
    ! [X0,X1] :
      ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_aa,X0),X1))
      | pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc896954044_moref,X0),X1)) ),
    inference(cnf_transformation,[],[f1364]) ).

fof(f2575,plain,
    ! [X0,X1] :
      ( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc550632248_lessf,X1),X0))
      | pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_aa,X0),X1)) ),
    inference(cnf_transformation,[],[f1364]) ).

fof(f3187,plain,
    ~ pp(aa_fun171081125l_bool(scratc1668550563all_of(aTP_Lamm_a),aTP_Lamm_ab)),
    inference(cnf_transformation,[],[f843]) ).

fof(f3194,plain,
    ! [X0,X1] :
      ( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1575674740nd_iii,aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc694986820bnd_ap,aa_TPTP_ind_TPTP_ind(scratc2001589713_times,aa_TPTP_ind_TPTP_ind(scratc1617769457nd_num,X0))),aa_TPTP_ind_TPTP_ind(scratc1534104824nd_den,X1))),aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc694986820bnd_ap,aa_TPTP_ind_TPTP_ind(scratc2001589713_times,aa_TPTP_ind_TPTP_ind(scratc1617769457nd_num,X1))),aa_TPTP_ind_TPTP_ind(scratc1534104824nd_den,X0))))
      | pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc550632248_lessf,X0),X1)) ),
    inference(definition_unfolding,[],[f1711,f1749,f1749]) ).

fof(f3197,plain,
    ! [X0,X1] :
      ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc125826166_29_ii,aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc694986820bnd_ap,aa_TPTP_ind_TPTP_ind(scratc2001589713_times,aa_TPTP_ind_TPTP_ind(scratc1617769457nd_num,X0))),aa_TPTP_ind_TPTP_ind(scratc1534104824nd_den,X1))),aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc694986820bnd_ap,aa_TPTP_ind_TPTP_ind(scratc2001589713_times,aa_TPTP_ind_TPTP_ind(scratc1617769457nd_num,X1))),aa_TPTP_ind_TPTP_ind(scratc1534104824nd_den,X0))))
      | ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc896954044_moref,X0),X1)) ),
    inference(definition_unfolding,[],[f1712,f1749,f1749]) ).

fof(f3512,definition,
    sF25 = scratc1668550563all_of(aTP_Lamm_a),
    introduced(definition,[new_symbols(definition,[sF25])],[function_definition]) ).

fof(f3513,plain,
    scratc1668550563all_of(aTP_Lamm_a) = sF25,
    inference(reorient_equations,[],[f3512]) ).

fof(f3514,definition,
    sF26 = aa_fun171081125l_bool(sF25,aTP_Lamm_ab),
    introduced(definition,[new_symbols(definition,[sF26])],[function_definition]) ).

fof(f3515,plain,
    aa_fun171081125l_bool(sF25,aTP_Lamm_ab) = sF26,
    inference(reorient_equations,[],[f3514]) ).

fof(f3516,plain,
    ~ pp(sF26),
    inference(definition_folding,[],[f3187,f3515,f3513]) ).

fof(f3586,plain,
    ! [X0,X1] :
      ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc896954044_moref,X1),sK12(X0,aa_TPT43085870d_bool(aTP_Lamm_aa,X1))))
      | pp(aa_fun171081125l_bool(scratc1668550563all_of(X0),aa_TPT43085870d_bool(aTP_Lamm_aa,X1))) ),
    inference(resolution,[],[f1962,f2574]) ).

fof(f3770,plain,
    ! [X0,X1] :
      ( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc125826166_29_ii,X0),X1))
      | pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1575674740nd_iii,X1),X0)) ),
    inference(resolution,[],[f1773,f1772]) ).

fof(f3772,plain,
    ! [X0,X1] :
      ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1575674740nd_iii,aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc694986820bnd_ap,aa_TPTP_ind_TPTP_ind(scratc2001589713_times,aa_TPTP_ind_TPTP_ind(scratc1617769457nd_num,X0))),aa_TPTP_ind_TPTP_ind(scratc1534104824nd_den,X1))),aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc694986820bnd_ap,aa_TPTP_ind_TPTP_ind(scratc2001589713_times,aa_TPTP_ind_TPTP_ind(scratc1617769457nd_num,X1))),aa_TPTP_ind_TPTP_ind(scratc1534104824nd_den,X0))))
      | ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc896954044_moref,X1),X0)) ),
    inference(resolution,[],[f3770,f3197]) ).

fof(f3774,plain,
    ! [X0,X1] :
      ( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc896954044_moref,X0),X1))
      | pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc550632248_lessf,X1),X0)) ),
    inference(resolution,[],[f3772,f3194]) ).

fof(f3775,plain,
    ! [X0,X1] :
      ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc550632248_lessf,sK12(X0,aa_TPT43085870d_bool(aTP_Lamm_aa,X1))),X1))
      | pp(aa_fun171081125l_bool(scratc1668550563all_of(X0),aa_TPT43085870d_bool(aTP_Lamm_aa,X1))) ),
    inference(resolution,[],[f3774,f3586]) ).

fof(f3777,plain,
    ! [X0,X1] :
      ( pp(aa_fun171081125l_bool(scratc1668550563all_of(X0),aa_TPT43085870d_bool(aTP_Lamm_aa,X1)))
      | pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_aa,X1),sK12(X0,aa_TPT43085870d_bool(aTP_Lamm_aa,X1)))) ),
    inference(resolution,[],[f3775,f2575]) ).

fof(f3778,plain,
    ! [X0,X1] : pp(aa_fun171081125l_bool(scratc1668550563all_of(X0),aa_TPT43085870d_bool(aTP_Lamm_aa,X1))),
    inference(forward_subsumption_resolution,[],[f3777,f1962]) ).

fof(f3779,plain,
    ! [X0] : pp(aa_TPTP_ind_bool(aTP_Lamm_ab,X0)),
    inference(resolution,[],[f3778,f2476]) ).

fof(f3783,plain,
    ! [X0] : pp(aa_fun171081125l_bool(scratc1668550563all_of(X0),aTP_Lamm_ab)),
    inference(resolution,[],[f3779,f1962]) ).

fof(f3785,plain,
    pp(aa_fun171081125l_bool(sF25,aTP_Lamm_ab)),
    inference(superposition,[],[f3783,f3513]) ).

fof(f3787,plain,
    pp(sF26),
    inference(forward_demodulation,[],[f3785,f3515]) ).

fof(f3788,plain,
    $false,
    inference(forward_subsumption_resolution,[],[f3787,f3516]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : NUM736+4 : TPTP v9.3.1. Released v7.3.0.
% 0.00/0.06  % Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.39  % Computer : n008.cluster.edu
% 0.11/0.39  % Model    : x86_64 x86_64
% 0.11/0.39  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.39  % Memory   : 8046.5625MB
% 0.11/0.39  % OS       : Linux 6.8.0-71-generic
% 0.11/0.39  % CPULimit : 300
% 0.11/0.40  % WCLimit  : 300
% 0.11/0.40  % DateTime : Sun Sep 27 21:14:09 UTC 2026
% 0.11/0.40  % CPUTime  : 
% 0.11/0.40  Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.43  Running first-order theorem proving
% 0.11/0.43  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
% 10.08/2.39  % (1603310)Detected formulas, will run a generic FOF schedule.
% 10.08/2.39  % (1603433)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=4252554643:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 10.08/2.39  % (1603428)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=2455881737:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 10.08/2.39  % (1603431)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=2530772390:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 10.08/2.39  % (1603429)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=473041277:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 10.08/2.39  % (1603430)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=1261483808:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 10.08/2.39  % (1603431)Refutation not found, incomplete strategy
% 10.08/2.39  % (1603431)------------------------------
% 10.08/2.39  % (1603431)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.08/2.39  % (1603431)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.08/2.39  % (1603431)CaDiCaL version: 2.1.3
% 10.08/2.39  % (1603431)Termination reason: Refutation not found, incomplete strategy
% 10.08/2.39  % (1603431)Time elapsed: 0.003 s
% 10.08/2.39  % (1603431)Peak memory usage: 88 MB
% 10.08/2.39  % (1603431)Instructions burned: 4 (million)
% 10.08/2.39  % (1603433)Instruction limit reached! 
% 10.08/2.39  % (1603433)------------------------------
% 10.08/2.39  % (1603433)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.08/2.39  % (1603433)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.08/2.39  % (1603433)CaDiCaL version: 2.1.3
% 10.08/2.39  % (1603433)Termination reason: Instruction limit
% 10.08/2.39  % (1603433)Termination phase: Saturation
% 10.08/2.39  % (1603433)Time elapsed: 0.042 s
% 10.08/2.39  % (1603433)Peak memory usage: 91 MB
% 10.08/2.39  % (1603433)Instructions burned: 140 (million)
% 10.08/2.39  % (1603434)dis-21_1_sil=8000:lcm=predicate:random_seed=670868106: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)
% 10.08/2.39  % (1603432)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=355555048:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 10.08/2.39  % (1603432)Refutation not found, incomplete strategy
% 10.08/2.39  % (1603432)------------------------------
% 10.08/2.39  % (1603432)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.08/2.39  % (1603432)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.08/2.39  % (1603432)CaDiCaL version: 2.1.3
% 10.08/2.39  % (1603432)Termination reason: Refutation not found, incomplete strategy
% 10.08/2.39  % (1603432)Time elapsed: 0.004 s
% 10.08/2.39  % (1603432)Peak memory usage: 88 MB
% 10.08/2.39  % (1603432)Instructions burned: 4 (million)
% 10.08/2.39  % (1603434)Instruction limit reached! 
% 10.08/2.39  % (1603434)------------------------------
% 10.08/2.39  % (1603434)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.08/2.39  % (1603434)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.08/2.39  % (1603434)CaDiCaL version: 2.1.3
% 10.08/2.39  % (1603434)Termination reason: Instruction limit
% 10.08/2.39  % (1603434)Termination phase: Saturation
% 10.08/2.39  % (1603434)Time elapsed: 0.066 s
% 10.08/2.39  % (1603434)Peak memory usage: 90 MB
% 10.08/2.39  % (1603434)Instructions burned: 130 (million)
% 10.08/2.39  % (1603441)lrs+10_1_sil=8000:sp=occurrence:random_seed=3952820490:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 10.08/2.39  % (1603441)Refutation not found, incomplete strategy
% 10.08/2.39  % (1603441)------------------------------
% 10.08/2.39  % (1603441)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.08/2.39  % (1603441)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.08/2.39  % (1603441)CaDiCaL version: 2.1.3
% 10.08/2.39  % (1603441)Termination reason: Refutation not found, incomplete strategy
% 10.08/2.39  % (1603441)Time elapsed: 0.002 s
% 10.08/2.39  % (1603441)Peak memory usage: 89 MB
% 10.08/2.39  % (1603441)Instructions burned: 4 (million)
% 10.08/2.39  % (1603443)lrs+10_1_sil=32000:urr=on:br=off:random_seed=151613791:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 10.08/2.39  % (1603431)------------------------------
% 10.08/2.39  % (1603431)------------------------------
% 10.08/2.39  % (1603443)Refutation not found, incomplete strategy
% 10.08/2.39  % (1603443)------------------------------
% 10.08/2.39  % (1603443)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.08/2.39  % (1603443)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.08/2.39  % (1603443)CaDiCaL version: 2.1.3
% 10.08/2.39  % (1603443)Termination reason: Refutation not found, incomplete strategy
% 10.08/2.39  % (1603443)Time elapsed: 0.007 s
% 10.08/2.39  % (1603443)Peak memory usage: 89 MB
% 10.08/2.39  % (1603443)Instructions burned: 13 (million)
% 10.08/2.39  % (1603432)------------------------------
% 10.08/2.39  % (1603432)------------------------------
% 10.08/2.39  % (1603441)------------------------------
% 10.08/2.39  % (1603441)------------------------------
% 10.08/2.39  % (1603446)lrs+1011_1_sil=32000:sp=occurrence:random_seed=565307252:i=325:sd=1:ss=axioms:sgt=32_2995 on theBenchmark for (2995ds/325Mi)
% 10.08/2.39  % (1603446)Refutation not found, incomplete strategy
% 10.08/2.39  % (1603446)------------------------------
% 10.08/2.39  % (1603446)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.08/2.39  % (1603446)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.08/2.39  % (1603446)CaDiCaL version: 2.1.3
% 10.08/2.39  % (1603446)Termination reason: Refutation not found, incomplete strategy
% 10.08/2.39  % (1603446)Time elapsed: 0.008 s
% 10.08/2.39  % (1603446)Peak memory usage: 89 MB
% 10.08/2.39  % (1603446)Instructions burned: 10 (million)
% 10.08/2.39  % (1603447)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=1473276496:s2a=on:i=248:s2at=1.23:gtg=position_2995 on theBenchmark for (2995ds/248Mi)
% 10.08/2.39  % (1603448)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=3220041282:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2995 on theBenchmark for (2995ds/294Mi)
% 10.08/2.39  % (1603448)Refutation not found, incomplete strategy
% 10.08/2.39  % (1603448)------------------------------
% 10.08/2.39  % (1603448)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.08/2.39  % (1603448)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.08/2.39  % (1603448)CaDiCaL version: 2.1.3
% 10.08/2.39  % (1603448)Termination reason: Refutation not found, incomplete strategy
% 10.08/2.39  % (1603448)Time elapsed: 0.003 s
% 10.08/2.39  % (1603448)Peak memory usage: 89 MB
% 10.08/2.39  % (1603448)Instructions burned: 9 (million)
% 10.08/2.39  % (1603443)------------------------------
% 10.08/2.39  % (1603443)------------------------------
% 10.08/2.39  % (1603447)Instruction limit reached! 
% 10.08/2.39  % (1603447)------------------------------
% 10.08/2.39  % (1603447)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.08/2.39  % (1603447)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.08/2.39  % (1603447)CaDiCaL version: 2.1.3
% 10.08/2.39  % (1603447)Termination reason: Instruction limit
% 10.08/2.39  % (1603447)Termination phase: Saturation
% 10.08/2.39  % (1603447)Time elapsed: 0.151 s
% 10.08/2.39  % (1603447)Peak memory usage: 92 MB
% 10.08/2.39  % (1603447)Instructions burned: 248 (million)
% 10.08/2.39  % (1603448)------------------------------
% 10.08/2.39  % (1603448)------------------------------
% 10.08/2.39  % (1603446)------------------------------
% 10.08/2.39  % (1603446)------------------------------
% 10.08/2.39  % (1603452)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=3707920333:i=2350_2993 on theBenchmark for (2993ds/2350Mi)
% 10.08/2.39  % (1603454)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=1696232373:i=127:av=off:fsr=off:sup=off_2992 on theBenchmark for (2992ds/127Mi)
% 10.08/2.39  % (1603453)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=634227923:cts=off:i=113:fsr=off:ss=included:sgt=4_2992 on theBenchmark for (2992ds/113Mi)
% 10.08/2.39  % (1603454)Instruction limit reached! 
% 10.08/2.39  % (1603454)------------------------------
% 10.08/2.39  % (1603454)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.08/2.39  % (1603454)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.08/2.39  % (1603454)CaDiCaL version: 2.1.3
% 10.08/2.39  % (1603454)Termination reason: Instruction limit
% 10.08/2.39  % (1603454)Termination phase: Saturation
% 10.08/2.39  % (1603454)Time elapsed: 0.031 s
% 10.08/2.39  % (1603454)Peak memory usage: 90 MB
% 10.08/2.39  % (1603454)Instructions burned: 128 (million)
% 10.08/2.39  % (1603453)Instruction limit reached! 
% 10.08/2.39  % (1603453)------------------------------
% 10.08/2.39  % (1603453)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.08/2.39  % (1603453)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.08/2.39  % (1603453)CaDiCaL version: 2.1.3
% 10.08/2.39  % (1603453)Termination reason: Instruction limit
% 10.08/2.39  % (1603453)Termination phase: Saturation
% 10.08/2.39  % (1603453)Time elapsed: 0.055 s
% 10.08/2.39  % (1603453)Peak memory usage: 90 MB
% 10.08/2.39  % (1603453)Instructions burned: 114 (million)
% 10.08/2.39  % (1603455)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=1273874462:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2991 on theBenchmark for (2991ds/114Mi)
% 10.08/2.39  % (1603459)lrs+10_1_sil=8000:sp=occurrence:random_seed=139180555:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2990 on theBenchmark for (2990ds/907Mi)
% 10.08/2.39  % (1603455)Instruction limit reached! 
% 10.08/2.39  % (1603455)------------------------------
% 10.08/2.39  % (1603455)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.08/2.39  % (1603455)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.08/2.39  % (1603455)CaDiCaL version: 2.1.3
% 10.08/2.39  % (1603455)Termination reason: Instruction limit
% 10.08/2.39  % (1603455)Termination phase: Saturation
% 10.08/2.39  % (1603455)Time elapsed: 0.062 s
% 10.08/2.39  % (1603455)Peak memory usage: 90 MB
% 10.08/2.39  % (1603455)Instructions burned: 115 (million)
% 10.08/2.39  % (1603460)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=3048288648:i=437:sd=1:aac=none:ss=included_2990 on theBenchmark for (2990ds/437Mi)
% 10.08/2.39  % (1603460)Refutation not found, incomplete strategy
% 10.08/2.39  % (1603460)------------------------------
% 10.08/2.39  % (1603460)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.08/2.39  % (1603460)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.08/2.39  % (1603460)CaDiCaL version: 2.1.3
% 10.08/2.39  % (1603460)Termination reason: Refutation not found, incomplete strategy
% 10.08/2.39  % (1603460)Time elapsed: 0.061 s
% 10.08/2.39  % (1603460)Peak memory usage: 91 MB
% 10.08/2.39  % (1603460)Instructions burned: 121 (million)
% 10.08/2.39  % (1603463)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=113738250:i=5202:ss=axioms:sgt=16_2989 on theBenchmark for (2989ds/5202Mi)
% 10.08/2.39  % (1603428)First to succeed.
% 10.08/2.39  % (1603428)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-1603310"
% 10.08/2.39  % (1603459)Instruction limit reached! 
% 10.08/2.39  % (1603459)------------------------------
% 10.08/2.39  % (1603459)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.08/2.39  % (1603459)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.08/2.39  % (1603459)CaDiCaL version: 2.1.3
% 10.08/2.39  % (1603459)Termination reason: Instruction limit
% 10.08/2.39  % (1603459)Termination phase: Saturation
% 10.08/2.39  % (1603459)Time elapsed: 0.299 s
% 10.08/2.39  % (1603459)Peak memory usage: 101 MB
% 10.08/2.39  % (1603459)Instructions burned: 911 (million)
% 10.08/2.39  % (1603460)------------------------------
% 10.08/2.39  % (1603460)------------------------------
% 10.08/2.39  % (1603466)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=2692160871:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2986 on theBenchmark for (2986ds/134Mi)
% 10.08/2.39  % (1603428)Refutation found. Thanks to Tanya!
% 10.08/2.39  % SZS status Theorem for theBenchmark
% 10.08/2.39  % SZS output start Proof for theBenchmark
% See solution above
% 10.94/2.59  % (1603428)------------------------------
% 10.94/2.59  % (1603428)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.94/2.59  % (1603428)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.94/2.59  % (1603428)CaDiCaL version: 2.1.3
% 10.94/2.59  % (1603428)Termination reason: Refutation
% 10.94/2.59  % (1603428)Time elapsed: 1.050 s
% 10.94/2.59  % (1603428)Peak memory usage: 154 MB
% 10.94/2.59  % (1603428)Instructions burned: 1724 (million)
% 10.94/2.59  % (1603428)------------------------------
% 10.94/2.59  % (1603428)------------------------------
% 10.94/2.59  % (1603310)Success in time 1.512 s
% 10.94/2.59  % Vampire exiting
%------------------------------------------------------------------------------