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Vampire---5.0.1.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Vampire---5.0.1
% Problem  : ITP019_2 : TPTP v9.3.1. Bugfixed v7.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM

% Computer : n020.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 11:28:30 AM UTC 2026

% Result   : Theorem 0.91s 1.77s
% Output   : Refutation 5.39s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    3
% Syntax   : Number of formulae    :   17 (   6 unt;   0 typ;   1 def)
%            Number of atoms       :  104 (  19 equ)
%            Maximal formula atoms :    4 (   6 avg)
%            Number of connectives :   28 (  15   ~;   6   |;   3   &)
%                                         (   2 <=>;   2  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    5 (   3 avg)
%            Maximal term depth    :    3 (   2 avg)
%            Number of FOOLs       :   74 (  74 fml;   0 var)
%            Number of types       :    7 (   5 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of predicates  :   10 (   8 usr;   3 prp; 0-2 aty)
%            Number of functors    :   28 (  28 usr;   8 con; 0-3 aty)
%            Number of variables   :   12 (  11   !;   1   ?;  12   :)

% Comments : 
%------------------------------------------------------------------------------
tff(type_def_5,type,
    del: $tType ).

tff(type_def_6,type,
    tp__o: $tType ).

tff(type_def_7,type,
    tp__ty_2Enum_2Enum: $tType ).

tff(type_def_8,type,
    tp__ty_2Erealax_2Ereal: $tType ).

tff(type_def_9,type,
    tp__c_ty_2Epair_2Eprod_ty_2Erealax_2Ereal_ty_2Erealax_2Ereal: $tType ).

tff(func_def_0,type,
    bool: del ).

tff(func_def_1,type,
    ind: del ).

tff(func_def_2,type,
    arr: ( del * del ) > del ).

tff(func_def_4,type,
    k: ( del * $i ) > $i ).

tff(func_def_5,type,
    i: del > $i ).

tff(func_def_6,type,
    inj__o: tp__o > $i ).

tff(func_def_7,type,
    surj__o: $i > tp__o ).

tff(func_def_9,type,
    fo__c_2Ebool_2E_7E: tp__o > tp__o ).

tff(func_def_11,type,
    fo__c_2Ebool_2EF: tp__o ).

tff(func_def_13,type,
    fo__c_2Ebool_2ET: tp__o ).

tff(func_def_15,type,
    fo__c_2Emin_2E_3D_3D_3E: ( tp__o * tp__o ) > tp__o ).

tff(func_def_17,type,
    fo__c_2Ebool_2E_2F_5C: ( tp__o * tp__o ) > tp__o ).

tff(func_def_18,type,
    ty_2Enum_2Enum: del ).

tff(func_def_19,type,
    inj__ty_2Enum_2Enum: tp__ty_2Enum_2Enum > $i ).

tff(func_def_20,type,
    surj__ty_2Enum_2Enum: $i > tp__ty_2Enum_2Enum ).

tff(func_def_22,type,
    fo__c_2Enum_2E0: tp__ty_2Enum_2Enum ).

tff(func_def_23,type,
    ty_2Erealax_2Ereal: del ).

tff(func_def_24,type,
    inj__ty_2Erealax_2Ereal: tp__ty_2Erealax_2Ereal > $i ).

tff(func_def_25,type,
    surj__ty_2Erealax_2Ereal: $i > tp__ty_2Erealax_2Ereal ).

tff(func_def_26,type,
    ty_2Epair_2Eprod: ( del * del ) > del ).

tff(func_def_27,type,
    inj__c_ty_2Epair_2Eprod_ty_2Erealax_2Ereal_ty_2Erealax_2Ereal: tp__c_ty_2Epair_2Eprod_ty_2Erealax_2Ereal_ty_2Erealax_2Ereal > $i ).

tff(func_def_28,type,
    surj__c_ty_2Epair_2Eprod_ty_2Erealax_2Ereal_ty_2Erealax_2Ereal: $i > tp__c_ty_2Epair_2Eprod_ty_2Erealax_2Ereal_ty_2Erealax_2Ereal ).

tff(func_def_31,type,
    c_2Emin_2E_3D: del > $i ).

tff(func_def_32,type,
    c_2Ebool_2E_21: del > $i ).

tff(func_def_33,type,
    sK0: ( del * $i ) > $i ).

tff(func_def_34,type,
    sK1: ( del * tp__o ) > $i ).

tff(func_def_35,type,
    sK2: tp__c_ty_2Epair_2Eprod_ty_2Erealax_2Ereal_ty_2Erealax_2Ereal ).

tff(func_def_36,type,
    sK3: ( del * $i * $i ) > $i ).

tff(pred_def_1,type,
    mem: ( $i * del ) > $o ).

tff(pred_def_3,type,
    sQ4_eqProxy: ( tp__o * tp__o ) > $o ).

tff(pred_def_5,type,
    sQ6_eqProxy: ( tp__ty_2Enum_2Enum * tp__ty_2Enum_2Enum ) > $o ).

tff(pred_def_6,type,
    sQ7_eqProxy: ( tp__ty_2Erealax_2Ereal * tp__ty_2Erealax_2Ereal ) > $o ).

tff(pred_def_7,type,
    sQ8_eqProxy: ( tp__c_ty_2Epair_2Eprod_ty_2Erealax_2Ereal_ty_2Erealax_2Ereal * tp__c_ty_2Epair_2Eprod_ty_2Erealax_2Ereal_ty_2Erealax_2Ereal ) > $o ).

tff(f44,axiom,
    ! [X0: tp__c_ty_2Epair_2Eprod_ty_2Erealax_2Ereal_ty_2Erealax_2Ereal] :
      ( ( surj__c_ty_2Epair_2Eprod_ty_2Erealax_2Ereal_ty_2Erealax_2Ereal(ap(c_2Ecomplex_2Ecomplex__inv,inj__c_ty_2Epair_2Eprod_ty_2Erealax_2Ereal_ty_2Erealax_2Ereal(X0))) = surj__c_ty_2Epair_2Eprod_ty_2Erealax_2Ereal_ty_2Erealax_2Ereal(ap(c_2Ecomplex_2Ecomplex__of__num,inj__ty_2Enum_2Enum(fo__c_2Enum_2E0))) )
    <=> ( X0 = surj__c_ty_2Epair_2Eprod_ty_2Erealax_2Ereal_ty_2Erealax_2Ereal(ap(c_2Ecomplex_2Ecomplex__of__num,inj__ty_2Enum_2Enum(fo__c_2Enum_2E0))) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_thm_2Ecomplex_2ECOMPLEX__INV__EQ__0) ).

tff(f45,conjecture,
    ! [X0: tp__c_ty_2Epair_2Eprod_ty_2Erealax_2Ereal_ty_2Erealax_2Ereal] :
      ( ( X0 != surj__c_ty_2Epair_2Eprod_ty_2Erealax_2Ereal_ty_2Erealax_2Ereal(ap(c_2Ecomplex_2Ecomplex__of__num,inj__ty_2Enum_2Enum(fo__c_2Enum_2E0))) )
     => ( surj__c_ty_2Epair_2Eprod_ty_2Erealax_2Ereal_ty_2Erealax_2Ereal(ap(c_2Ecomplex_2Ecomplex__inv,inj__c_ty_2Epair_2Eprod_ty_2Erealax_2Ereal_ty_2Erealax_2Ereal(X0))) != surj__c_ty_2Epair_2Eprod_ty_2Erealax_2Ereal_ty_2Erealax_2Ereal(ap(c_2Ecomplex_2Ecomplex__of__num,inj__ty_2Enum_2Enum(fo__c_2Enum_2E0))) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_thm_2Ecomplex_2ECOMPLEX__INV__NZ) ).

tff(f46,negated_conjecture,
    ~ ! [X0: tp__c_ty_2Epair_2Eprod_ty_2Erealax_2Ereal_ty_2Erealax_2Ereal] :
        ( ( X0 != surj__c_ty_2Epair_2Eprod_ty_2Erealax_2Ereal_ty_2Erealax_2Ereal(ap(c_2Ecomplex_2Ecomplex__of__num,inj__ty_2Enum_2Enum(fo__c_2Enum_2E0))) )
       => ( surj__c_ty_2Epair_2Eprod_ty_2Erealax_2Ereal_ty_2Erealax_2Ereal(ap(c_2Ecomplex_2Ecomplex__inv,inj__c_ty_2Epair_2Eprod_ty_2Erealax_2Ereal_ty_2Erealax_2Ereal(X0))) != surj__c_ty_2Epair_2Eprod_ty_2Erealax_2Ereal_ty_2Erealax_2Ereal(ap(c_2Ecomplex_2Ecomplex__of__num,inj__ty_2Enum_2Enum(fo__c_2Enum_2E0))) ) ),
    inference(negated_conjecture,[status(cth)],[f45]) ).

tff(f60,plain,
    ? [X0: tp__c_ty_2Epair_2Eprod_ty_2Erealax_2Ereal_ty_2Erealax_2Ereal] :
      ( ( surj__c_ty_2Epair_2Eprod_ty_2Erealax_2Ereal_ty_2Erealax_2Ereal(ap(c_2Ecomplex_2Ecomplex__inv,inj__c_ty_2Epair_2Eprod_ty_2Erealax_2Ereal_ty_2Erealax_2Ereal(X0))) = surj__c_ty_2Epair_2Eprod_ty_2Erealax_2Ereal_ty_2Erealax_2Ereal(ap(c_2Ecomplex_2Ecomplex__of__num,inj__ty_2Enum_2Enum(fo__c_2Enum_2E0))) )
      & ( X0 != surj__c_ty_2Epair_2Eprod_ty_2Erealax_2Ereal_ty_2Erealax_2Ereal(ap(c_2Ecomplex_2Ecomplex__of__num,inj__ty_2Enum_2Enum(fo__c_2Enum_2E0))) ) ),
    inference(ennf_transformation,[],[f46]) ).

tff(f80,plain,
    ! [X0: tp__c_ty_2Epair_2Eprod_ty_2Erealax_2Ereal_ty_2Erealax_2Ereal] :
      ( ( ( surj__c_ty_2Epair_2Eprod_ty_2Erealax_2Ereal_ty_2Erealax_2Ereal(ap(c_2Ecomplex_2Ecomplex__inv,inj__c_ty_2Epair_2Eprod_ty_2Erealax_2Ereal_ty_2Erealax_2Ereal(X0))) = surj__c_ty_2Epair_2Eprod_ty_2Erealax_2Ereal_ty_2Erealax_2Ereal(ap(c_2Ecomplex_2Ecomplex__of__num,inj__ty_2Enum_2Enum(fo__c_2Enum_2E0))) )
        | ( surj__c_ty_2Epair_2Eprod_ty_2Erealax_2Ereal_ty_2Erealax_2Ereal(ap(c_2Ecomplex_2Ecomplex__of__num,inj__ty_2Enum_2Enum(fo__c_2Enum_2E0))) != X0 ) )
      & ( ( X0 = surj__c_ty_2Epair_2Eprod_ty_2Erealax_2Ereal_ty_2Erealax_2Ereal(ap(c_2Ecomplex_2Ecomplex__of__num,inj__ty_2Enum_2Enum(fo__c_2Enum_2E0))) )
        | ( surj__c_ty_2Epair_2Eprod_ty_2Erealax_2Ereal_ty_2Erealax_2Ereal(ap(c_2Ecomplex_2Ecomplex__inv,inj__c_ty_2Epair_2Eprod_ty_2Erealax_2Ereal_ty_2Erealax_2Ereal(X0))) != surj__c_ty_2Epair_2Eprod_ty_2Erealax_2Ereal_ty_2Erealax_2Ereal(ap(c_2Ecomplex_2Ecomplex__of__num,inj__ty_2Enum_2Enum(fo__c_2Enum_2E0))) ) ) ),
    inference(nnf_transformation,[],[f44]) ).

tff(f81,plain,
    ( ( surj__c_ty_2Epair_2Eprod_ty_2Erealax_2Ereal_ty_2Erealax_2Ereal(ap(c_2Ecomplex_2Ecomplex__of__num,inj__ty_2Enum_2Enum(fo__c_2Enum_2E0))) = surj__c_ty_2Epair_2Eprod_ty_2Erealax_2Ereal_ty_2Erealax_2Ereal(ap(c_2Ecomplex_2Ecomplex__inv,inj__c_ty_2Epair_2Eprod_ty_2Erealax_2Ereal_ty_2Erealax_2Ereal(sK2))) )
    & ( surj__c_ty_2Epair_2Eprod_ty_2Erealax_2Ereal_ty_2Erealax_2Ereal(ap(c_2Ecomplex_2Ecomplex__of__num,inj__ty_2Enum_2Enum(fo__c_2Enum_2E0))) != sK2 ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK2]),skolemize(X0,sK2)],[f60]) ).

tff(f135,plain,
    ! [X0: tp__c_ty_2Epair_2Eprod_ty_2Erealax_2Ereal_ty_2Erealax_2Ereal] :
      ( ( surj__c_ty_2Epair_2Eprod_ty_2Erealax_2Ereal_ty_2Erealax_2Ereal(ap(c_2Ecomplex_2Ecomplex__of__num,inj__ty_2Enum_2Enum(fo__c_2Enum_2E0))) = X0 )
      | ( surj__c_ty_2Epair_2Eprod_ty_2Erealax_2Ereal_ty_2Erealax_2Ereal(ap(c_2Ecomplex_2Ecomplex__inv,inj__c_ty_2Epair_2Eprod_ty_2Erealax_2Ereal_ty_2Erealax_2Ereal(X0))) != surj__c_ty_2Epair_2Eprod_ty_2Erealax_2Ereal_ty_2Erealax_2Ereal(ap(c_2Ecomplex_2Ecomplex__of__num,inj__ty_2Enum_2Enum(fo__c_2Enum_2E0))) ) ),
    inference(cnf_transformation,[],[f80]) ).

tff(f137,plain,
    surj__c_ty_2Epair_2Eprod_ty_2Erealax_2Ereal_ty_2Erealax_2Ereal(ap(c_2Ecomplex_2Ecomplex__of__num,inj__ty_2Enum_2Enum(fo__c_2Enum_2E0))) != sK2,
    inference(cnf_transformation,[],[f81]) ).

tff(f138,plain,
    surj__c_ty_2Epair_2Eprod_ty_2Erealax_2Ereal_ty_2Erealax_2Ereal(ap(c_2Ecomplex_2Ecomplex__of__num,inj__ty_2Enum_2Enum(fo__c_2Enum_2E0))) = surj__c_ty_2Epair_2Eprod_ty_2Erealax_2Ereal_ty_2Erealax_2Ereal(ap(c_2Ecomplex_2Ecomplex__inv,inj__c_ty_2Epair_2Eprod_ty_2Erealax_2Ereal_ty_2Erealax_2Ereal(sK2))),
    inference(cnf_transformation,[],[f81]) ).

tff(f162,definition,
    ! [X0: tp__c_ty_2Epair_2Eprod_ty_2Erealax_2Ereal_ty_2Erealax_2Ereal,X1: tp__c_ty_2Epair_2Eprod_ty_2Erealax_2Ereal_ty_2Erealax_2Ereal] :
      ( sQ8_eqProxy(X0,X1)
    <=> ( X0 = X1 ) ),
    introduced(definition,[new_symbols(definition,[sQ8_eqProxy])],[equality_proxy_definition]) ).

tff(f167,plain,
    ! [X0: tp__c_ty_2Epair_2Eprod_ty_2Erealax_2Ereal_ty_2Erealax_2Ereal] :
      ( ~ sQ8_eqProxy(surj__c_ty_2Epair_2Eprod_ty_2Erealax_2Ereal_ty_2Erealax_2Ereal(ap(c_2Ecomplex_2Ecomplex__inv,inj__c_ty_2Epair_2Eprod_ty_2Erealax_2Ereal_ty_2Erealax_2Ereal(X0))),surj__c_ty_2Epair_2Eprod_ty_2Erealax_2Ereal_ty_2Erealax_2Ereal(ap(c_2Ecomplex_2Ecomplex__of__num,inj__ty_2Enum_2Enum(fo__c_2Enum_2E0))))
      | sQ8_eqProxy(surj__c_ty_2Epair_2Eprod_ty_2Erealax_2Ereal_ty_2Erealax_2Ereal(ap(c_2Ecomplex_2Ecomplex__of__num,inj__ty_2Enum_2Enum(fo__c_2Enum_2E0))),X0) ),
    inference(equality_proxy_replacement,[],[f135,f162,f162]) ).

tff(f168,plain,
    sQ8_eqProxy(surj__c_ty_2Epair_2Eprod_ty_2Erealax_2Ereal_ty_2Erealax_2Ereal(ap(c_2Ecomplex_2Ecomplex__of__num,inj__ty_2Enum_2Enum(fo__c_2Enum_2E0))),surj__c_ty_2Epair_2Eprod_ty_2Erealax_2Ereal_ty_2Erealax_2Ereal(ap(c_2Ecomplex_2Ecomplex__inv,inj__c_ty_2Epair_2Eprod_ty_2Erealax_2Ereal_ty_2Erealax_2Ereal(sK2)))),
    inference(equality_proxy_replacement,[],[f138,f162]) ).

tff(f169,plain,
    ~ sQ8_eqProxy(surj__c_ty_2Epair_2Eprod_ty_2Erealax_2Ereal_ty_2Erealax_2Ereal(ap(c_2Ecomplex_2Ecomplex__of__num,inj__ty_2Enum_2Enum(fo__c_2Enum_2E0))),sK2),
    inference(equality_proxy_replacement,[],[f137,f162]) ).

tff(f177,plain,
    ! [X0: tp__c_ty_2Epair_2Eprod_ty_2Erealax_2Ereal_ty_2Erealax_2Ereal,X1: tp__c_ty_2Epair_2Eprod_ty_2Erealax_2Ereal_ty_2Erealax_2Ereal] :
      ( sQ8_eqProxy(X1,X0)
      | ~ sQ8_eqProxy(X0,X1) ),
    inference(equality_proxy_axiom,[],[f162]) ).

tff(f207,plain,
    ! [X0: tp__c_ty_2Epair_2Eprod_ty_2Erealax_2Ereal_ty_2Erealax_2Ereal] :
      ( ~ sQ8_eqProxy(surj__c_ty_2Epair_2Eprod_ty_2Erealax_2Ereal_ty_2Erealax_2Ereal(ap(c_2Ecomplex_2Ecomplex__of__num,inj__ty_2Enum_2Enum(fo__c_2Enum_2E0))),surj__c_ty_2Epair_2Eprod_ty_2Erealax_2Ereal_ty_2Erealax_2Ereal(ap(c_2Ecomplex_2Ecomplex__inv,inj__c_ty_2Epair_2Eprod_ty_2Erealax_2Ereal_ty_2Erealax_2Ereal(X0))))
      | sQ8_eqProxy(surj__c_ty_2Epair_2Eprod_ty_2Erealax_2Ereal_ty_2Erealax_2Ereal(ap(c_2Ecomplex_2Ecomplex__of__num,inj__ty_2Enum_2Enum(fo__c_2Enum_2E0))),X0) ),
    inference(resolution,[],[f167,f177]) ).

tff(f220,plain,
    sQ8_eqProxy(surj__c_ty_2Epair_2Eprod_ty_2Erealax_2Ereal_ty_2Erealax_2Ereal(ap(c_2Ecomplex_2Ecomplex__of__num,inj__ty_2Enum_2Enum(fo__c_2Enum_2E0))),sK2),
    inference(resolution,[],[f207,f168]) ).

tff(f230,plain,
    $false,
    inference(resolution,[],[f220,f169]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : ITP019_2 : TPTP v9.3.1. Bugfixed v7.5.0.
% 0.00/0.06  % Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.16/0.41  % Computer : n020.cluster.edu
% 0.16/0.41  % Model    : x86_64 x86_64
% 0.16/0.41  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.41  % Memory   : 8046.5625MB
% 0.16/0.41  % OS       : Linux 6.8.0-71-generic
% 0.16/0.41  % CPULimit : 300
% 0.16/0.41  % WCLimit  : 300
% 0.16/0.41  % DateTime : Sun Sep 27 12:06:19 UTC 2026
% 0.16/0.42  % CPUTime  : 
% 0.16/0.42  Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.24/0.47  Running first-order theorem proving
% 0.24/0.47  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
% 0.91/1.77  % (3261714)Detected formulas, will run a generic FOF schedule.
% 0.91/1.77  % (3261724)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=3356763578:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 0.91/1.77  % (3261729)dis-21_1_sil=8000:lcm=predicate:random_seed=3969127658: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)
% 0.91/1.77  % (3261729)First to succeed.
% 0.91/1.77  % (3261729)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3261714"
% 0.91/1.77  % (3261725)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=735204320:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 0.91/1.77  % (3261728)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3181290858:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 0.91/1.77  % (3261723)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=1223088589:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 0.91/1.77  % (3261727)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=13993055:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 0.91/1.77  % (3261726)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=656825956:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 0.91/1.77  % (3261726)Also succeeded, but the first one will report.
% 0.91/1.77  % (3261727)Also succeeded, but the first one will report.
% 0.91/1.77  % (3261728)Also succeeded, but the first one will report.
% 0.91/1.77  % (3261729)Refutation found. Thanks to Tanya!
% 0.91/1.77  % SZS status Theorem for theBenchmark
% 0.91/1.77  % SZS output start Proof for theBenchmark
% See solution above
% 5.39/1.91  % (3261729)------------------------------
% 5.39/1.91  % (3261729)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.39/1.91  % (3261729)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.39/1.91  % (3261729)CaDiCaL version: 2.1.3
% 5.39/1.91  % (3261729)Termination reason: Refutation
% 5.39/1.91  % (3261729)Time elapsed: 0.008 s
% 5.39/1.91  % (3261729)Peak memory usage: 89 MB
% 5.39/1.91  % (3261729)Instructions burned: 6 (million)
% 5.39/1.91  % (3261729)------------------------------
% 5.39/1.91  % (3261729)------------------------------
% 5.39/1.91  % (3261714)Success in time 0.642 s
% 5.39/1.91  % Vampire exiting
%------------------------------------------------------------------------------