↑ Up

Vampire---5.0.1.THM-Ref.s

View TPTP
Problem
Process solution in
SystemOnTSTP
Download .tgz
%------------------------------------------------------------------------------
% File     : Vampire---5.0.1
% Problem  : LCL786_5 : TPTP v9.3.1. Released v6.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM

% Computer : n003.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 11:56:35 AM UTC 2026

% Result   : Theorem 3.14s 1.06s
% Output   : Refutation 3.51s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   24 (  12 unt;   0 typ;   0 def)
%            Number of atoms       :   44 (   2 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   42 (  22   ~;  14   |;   2   &)
%                                         (   0 <=>;   4  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   10 (   4 avg)
%            Maximal term depth    :    7 (   2 avg)
%            Number of types       :    5 (   4 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of predicates  :    7 (   5 usr;   2 prp; 0-3 aty)
%            Number of functors    :   61 (  61 usr;  22 con; 0-5 aty)
%            Number of variables   :   29 (  28   !;   1   ?;  29   :)

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

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

tff(type_def_7,type,
    list: $tType > $tType ).

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

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

tff(type_def_10,type,
    fun1: ( $tType * $tType ) > $tType ).

tff(func_def_0,type,
    combb: 
      !>[X0: $tType,X1: $tType,X2: $tType] : fun1(fun1(X0,X1),fun1(fun1(X2,X0),fun1(X2,X1))) ).

tff(func_def_1,type,
    combc: 
      !>[X0: $tType,X1: $tType,X2: $tType] : ( ( fun1(X0,fun1(X1,X2)) * X1 ) > fun1(X0,X2) ) ).

tff(func_def_2,type,
    combi: 
      !>[X0: $tType] : fun1(X0,X0) ).

tff(func_def_3,type,
    combs: 
      !>[X0: $tType,X1: $tType,X2: $tType] : fun1(fun1(X0,fun1(X1,X2)),fun1(fun1(X0,X1),fun1(X0,X2))) ).

tff(func_def_4,type,
    zero_zero: 
      !>[X0: $tType] : X0 ).

tff(func_def_5,type,
    it: fun1(dB,bool) ).

tff(func_def_6,type,
    abs: dB > dB ).

tff(func_def_7,type,
    app: fun1(dB,fun1(dB,dB)) ).

tff(func_def_8,type,
    var: nat > dB ).

tff(func_def_9,type,
    dB_size: dB > nat ).

tff(func_def_10,type,
    lift: fun1(dB,fun1(nat,dB)) ).

tff(func_def_11,type,
    subst: fun1(dB,fun1(dB,fun1(nat,dB))) ).

tff(func_def_12,type,
    foldl: 
      !>[X0: $tType,X1: $tType] : ( ( fun1(X0,fun1(X1,X0)) * X0 * list(X1) ) > X0 ) ).

tff(func_def_13,type,
    foldr: 
      !>[X0: $tType,X1: $tType] : ( ( fun1(X0,fun1(X1,X1)) * list(X0) * X1 ) > X1 ) ).

tff(func_def_14,type,
    cons: 
      !>[X0: $tType] : fun1(X0,fun1(list(X0),list(X0))) ).

tff(func_def_15,type,
    list_case: 
      !>[X0: $tType,X1: $tType] : ( ( X0 * fun1(X1,fun1(list(X1),X0)) * list(X1) ) > X0 ) ).

tff(func_def_16,type,
    listset: 
      !>[X0: $tType] : ( list(fun1(X0,bool)) > fun1(list(X0),bool) ) ).

tff(func_def_17,type,
    map: 
      !>[X0: $tType,X1: $tType] : ( ( fun1(X0,X1) * list(X0) ) > list(X1) ) ).

tff(func_def_18,type,
    set_Cons: 
      !>[X0: $tType] : ( ( fun1(X0,bool) * fun1(list(X0),bool) ) > fun1(list(X0),bool) ) ).

tff(func_def_19,type,
    splice: 
      !>[X0: $tType] : ( ( list(X0) * list(X0) ) > list(X0) ) ).

tff(func_def_20,type,
    size_size: 
      !>[X0: $tType] : ( X0 > nat ) ).

tff(func_def_21,type,
    collect: 
      !>[X0: $tType] : ( fun1(X0,bool) > fun1(X0,bool) ) ).

tff(func_def_22,type,
    shift: 
      !>[X0: $tType] : ( ( fun1(nat,X0) * nat * X0 ) > fun1(nat,X0) ) ).

tff(func_def_23,type,
    atom: nat > type ).

tff(func_def_24,type,
    fun: fun1(type,fun1(type,type)) ).

tff(func_def_25,type,
    type_case: 
      !>[X0: $tType] : ( ( fun1(nat,X0) * fun1(type,fun1(type,X0)) * type ) > X0 ) ).

tff(func_def_26,type,
    type_size: type > nat ).

tff(func_def_27,type,
    typing: fun1(nat,type) > fun1(dB,fun1(type,bool)) ).

tff(func_def_28,type,
    typings: ( fun1(nat,type) * list(dB) ) > fun1(list(type),bool) ).

tff(func_def_29,type,
    aa: 
      !>[X0: $tType,X1: $tType] : ( ( fun1(X0,X1) * X0 ) > X1 ) ).

tff(func_def_30,type,
    fEx: 
      !>[X0: $tType] : fun1(fun1(X0,bool),bool) ).

tff(func_def_31,type,
    fFalse: bool ).

tff(func_def_32,type,
    fTrue: bool ).

tff(func_def_33,type,
    fconj: fun1(bool,fun1(bool,bool)) ).

tff(func_def_34,type,
    fequal: 
      !>[X0: $tType] : fun1(X0,fun1(X0,bool)) ).

tff(func_def_35,type,
    member: 
      !>[X0: $tType] : fun1(X0,fun1(fun1(X0,bool),bool)) ).

tff(func_def_36,type,
    t1: type ).

tff(func_def_37,type,
    t_a: type ).

tff(func_def_38,type,
    t: type ).

tff(func_def_39,type,
    a: dB ).

tff(func_def_40,type,
    as: list(dB) ).

tff(func_def_41,type,
    e: fun1(nat,type) ).

tff(func_def_42,type,
    ea: fun1(nat,type) ).

tff(func_def_43,type,
    i: nat ).

tff(func_def_44,type,
    ia: nat ).

tff(func_def_45,type,
    n: nat ).

tff(func_def_46,type,
    rs: list(dB) ).

tff(func_def_47,type,
    t2: dB ).

tff(func_def_48,type,
    u: dB ).

tff(func_def_49,type,
    ua: dB ).

tff(func_def_50,type,
    sK0: ( type * list(dB) * dB * fun1(nat,type) ) > list(type) ).

tff(func_def_51,type,
    sK1: ( type * list(dB) * dB * fun1(nat,type) ) > list(type) ).

tff(func_def_52,type,
    sK2: ( type * type * list(dB) * fun1(nat,type) ) > list(type) ).

tff(func_def_53,type,
    sK3: ( type * list(dB) * nat * fun1(nat,type) ) > list(type) ).

tff(func_def_54,type,
    sK4: ( type * dB * dB * fun1(nat,type) ) > type ).

tff(func_def_55,type,
    sK5: 
      !>[X0: $tType,X1: $tType] : ( ( fun1(X1,X0) * fun1(X1,X0) ) > X1 ) ).

tff(func_def_56,type,
    sK6: 
      !>[X0: $tType,X1: $tType] : ( fun1(X0,fun1(X1,X0)) > X1 ) ).

tff(func_def_57,type,
    sK7: 
      !>[X0: $tType,X1: $tType] : ( fun1(X0,fun1(X1,X0)) > X1 ) ).

tff(func_def_58,type,
    sK8: 
      !>[X0: $tType,X1: $tType] : ( fun1(X0,fun1(X1,X0)) > X0 ) ).

tff(pred_def_1,type,
    zero: 
      !>[X0: $tType] : $o ).

tff(pred_def_2,type,
    beta: ( dB * dB ) > $o ).

tff(pred_def_3,type,
    listsp: 
      !>[X0: $tType] : ( ( fun1(X0,bool) * list(X0) ) > $o ) ).

tff(pred_def_4,type,
    pp: bool > $o ).

tff(f2,axiom,
    n = i,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_1_True) ).

tff(f4,axiom,
    pp(aa(type,bool,aa(dB,fun1(type,bool),typing(shift(type,e,i,t)),foldl(dB,dB,app,aa(dB,dB,aa(dB,fun1(dB,dB),app,var(n)),a),as)),t1)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_3__096e_060i_058T_062_A_092_060turnstile_062_AVar_An_A_092_060degree_062_Aa_A_092_060degree_062_092_060degree_062_Aas_A_058_AT_H_096) ).

tff(f26,axiom,
    ! [X0: type,X1: list(dB),X2: dB,X3: fun1(nat,type)] :
      ( pp(aa(type,bool,aa(dB,fun1(type,bool),typing(X3),foldl(dB,dB,app,X2,X1)),X0))
     => ~ ! [X4: list(type)] :
            ( pp(aa(type,bool,aa(dB,fun1(type,bool),typing(X3),X2),foldr(type,type,fun,X4,X0)))
           => ~ pp(aa(list(type),bool,typings(X3,X1),X4)) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_25_list__app__typeE) ).

tff(f115,axiom,
    ! [X0: list(type)] :
      ( pp(aa(type,bool,aa(dB,fun1(type,bool),typing(shift(type,e,i,t)),aa(dB,dB,aa(dB,fun1(dB,dB),app,var(n)),a)),foldr(type,type,fun,X0,t1)))
     => ( pp(aa(list(type),bool,typings(shift(type,e,i,t),as),X0))
       => thesis ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_0) ).

tff(f116,conjecture,
    thesis,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_1) ).

tff(f117,negated_conjecture,
    ~ thesis,
    inference(negated_conjecture,[status(cth)],[f116]) ).

tff(f118,plain,
    ~ thesis,
    inference(flattening,[],[f117]) ).

tff(f119,plain,
    ! [X0: list(type)] :
      ( thesis
      | ~ pp(aa(list(type),bool,typings(shift(type,e,i,t),as),X0))
      | ~ pp(aa(type,bool,aa(dB,fun1(type,bool),typing(shift(type,e,i,t)),aa(dB,dB,aa(dB,fun1(dB,dB),app,var(n)),a)),foldr(type,type,fun,X0,t1))) ),
    inference(ennf_transformation,[],[f115]) ).

tff(f120,plain,
    ! [X0: list(type)] :
      ( thesis
      | ~ pp(aa(list(type),bool,typings(shift(type,e,i,t),as),X0))
      | ~ pp(aa(type,bool,aa(dB,fun1(type,bool),typing(shift(type,e,i,t)),aa(dB,dB,aa(dB,fun1(dB,dB),app,var(n)),a)),foldr(type,type,fun,X0,t1))) ),
    inference(flattening,[],[f119]) ).

tff(f124,plain,
    ! [X0: type,X1: list(dB),X2: dB,X3: fun1(nat,type)] :
      ( ? [X4: list(type)] :
          ( pp(aa(list(type),bool,typings(X3,X1),X4))
          & pp(aa(type,bool,aa(dB,fun1(type,bool),typing(X3),X2),foldr(type,type,fun,X4,X0))) )
      | ~ pp(aa(type,bool,aa(dB,fun1(type,bool),typing(X3),foldl(dB,dB,app,X2,X1)),X0)) ),
    inference(ennf_transformation,[],[f26]) ).

tff(f151,plain,
    ! [X0: type,X1: list(dB),X2: dB,X3: fun1(nat,type)] :
      ( ( pp(aa(list(type),bool,typings(X3,X1),sK1(X0,X1,X2,X3)))
        & pp(aa(type,bool,aa(dB,fun1(type,bool),typing(X3),X2),foldr(type,type,fun,sK1(X0,X1,X2,X3),X0))) )
      | ~ pp(aa(type,bool,aa(dB,fun1(type,bool),typing(X3),foldl(dB,dB,app,X2,X1)),X0)) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK1]),skolemize(X4,sK1(X0,X1,X2,X3))],[f124]) ).

tff(f167,plain,
    ! [X0: list(type)] :
      ( thesis
      | ~ pp(aa(list(type),bool,typings(shift(type,e,i,t),as),X0))
      | ~ pp(aa(type,bool,aa(dB,fun1(type,bool),typing(shift(type,e,i,t)),aa(dB,dB,aa(dB,fun1(dB,dB),app,var(n)),a)),foldr(type,type,fun,X0,t1))) ),
    inference(cnf_transformation,[],[f120]) ).

tff(f168,plain,
    ~ thesis,
    inference(cnf_transformation,[],[f118]) ).

tff(f181,plain,
    ! [X2: dB,X3: fun1(nat,type),X0: type,X1: list(dB)] :
      ( pp(aa(type,bool,aa(dB,fun1(type,bool),typing(X3),X2),foldr(type,type,fun,sK1(X0,X1,X2,X3),X0)))
      | ~ pp(aa(type,bool,aa(dB,fun1(type,bool),typing(X3),foldl(dB,dB,app,X2,X1)),X0)) ),
    inference(cnf_transformation,[],[f151]) ).

tff(f182,plain,
    ! [X2: dB,X3: fun1(nat,type),X0: type,X1: list(dB)] :
      ( ~ pp(aa(type,bool,aa(dB,fun1(type,bool),typing(X3),foldl(dB,dB,app,X2,X1)),X0))
      | pp(aa(list(type),bool,typings(X3,X1),sK1(X0,X1,X2,X3))) ),
    inference(cnf_transformation,[],[f151]) ).

tff(f196,plain,
    pp(aa(type,bool,aa(dB,fun1(type,bool),typing(shift(type,e,i,t)),foldl(dB,dB,app,aa(dB,dB,aa(dB,fun1(dB,dB),app,var(n)),a),as)),t1)),
    inference(cnf_transformation,[],[f4]) ).

tff(f200,plain,
    n = i,
    inference(cnf_transformation,[],[f2]) ).

tff(f233,plain,
    ! [X0: list(type)] :
      ( thesis
      | ~ pp(aa(list(type),bool,typings(shift(type,e,i,t),as),X0))
      | ~ pp(aa(type,bool,aa(dB,fun1(type,bool),typing(shift(type,e,i,t)),aa(dB,dB,aa(dB,fun1(dB,dB),app,var(i)),a)),foldr(type,type,fun,X0,t1))) ),
    inference(definition_unfolding,[],[f167,f200]) ).

tff(f235,plain,
    pp(aa(type,bool,aa(dB,fun1(type,bool),typing(shift(type,e,i,t)),foldl(dB,dB,app,aa(dB,dB,aa(dB,fun1(dB,dB),app,var(i)),a),as)),t1)),
    inference(definition_unfolding,[],[f196,f200]) ).

tff(f272,plain,
    pp(aa(list(type),bool,typings(shift(type,e,i,t),as),sK1(t1,as,aa(dB,dB,aa(dB,fun1(dB,dB),app,var(i)),a),shift(type,e,i,t)))),
    inference(resolution,[],[f235,f182]) ).

tff(f376,plain,
    ! [X0: list(type)] :
      ( ~ pp(aa(type,bool,aa(dB,fun1(type,bool),typing(shift(type,e,i,t)),aa(dB,dB,aa(dB,fun1(dB,dB),app,var(i)),a)),foldr(type,type,fun,X0,t1)))
      | ~ pp(aa(list(type),bool,typings(shift(type,e,i,t),as),X0)) ),
    inference(forward_subsumption_resolution,[],[f233,f168]) ).

tff(f378,plain,
    ! [X0: list(dB)] :
      ( ~ pp(aa(type,bool,aa(dB,fun1(type,bool),typing(shift(type,e,i,t)),foldl(dB,dB,app,aa(dB,dB,aa(dB,fun1(dB,dB),app,var(i)),a),X0)),t1))
      | ~ pp(aa(list(type),bool,typings(shift(type,e,i,t),as),sK1(t1,X0,aa(dB,dB,aa(dB,fun1(dB,dB),app,var(i)),a),shift(type,e,i,t)))) ),
    inference(resolution,[],[f376,f181]) ).

tff(f398,plain,
    ~ pp(aa(list(type),bool,typings(shift(type,e,i,t),as),sK1(t1,as,aa(dB,dB,aa(dB,fun1(dB,dB),app,var(i)),a),shift(type,e,i,t)))),
    inference(resolution,[],[f378,f235]) ).

tff(f403,plain,
    $false,
    inference(forward_subsumption_resolution,[],[f398,f272]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : LCL786_5 : TPTP v9.3.1. Released v6.0.0.
% 0.00/0.06  % Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.37  % Computer : n003.cluster.edu
% 0.10/0.37  % Model    : x86_64 x86_64
% 0.10/0.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37  % Memory   : 8046.5625MB
% 0.10/0.37  % OS       : Linux 6.8.0-71-generic
% 0.10/0.37  % CPULimit : 300
% 0.10/0.37  % WCLimit  : 300
% 0.10/0.37  % DateTime : Sun Sep 27 16:52:41 UTC 2026
% 0.10/0.37  % CPUTime  : 
% 0.10/0.37  Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.40  Running first-order theorem proving
% 0.10/0.40  Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 3.14/1.06  % (775372)Detected formulas, will run a generic FOF schedule.
% 3.14/1.06  % (775382)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=608859630:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 3.14/1.06  % (775378)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=2636069210:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 3.14/1.06  % (775381)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=422048081:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 3.14/1.06  % (775377)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=1684816965:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 3.14/1.06  % (775383)dis-21_1_sil=8000:lcm=predicate:random_seed=1181363808: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)
% 3.14/1.06  % (775379)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=1005235300:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 3.14/1.06  % (775380)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=2919809738:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 3.14/1.06  % (775380)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 3.14/1.06  % (775382)Instruction limit reached! 
% 3.14/1.06  % (775382)------------------------------
% 3.14/1.06  % (775382)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.14/1.06  % (775382)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.14/1.06  % (775382)CaDiCaL version: 2.1.3
% 3.14/1.06  % (775382)Termination reason: Instruction limit
% 3.14/1.06  % (775382)Termination phase: Saturation
% 3.14/1.06  % (775382)Time elapsed: 0.045 s
% 3.14/1.06  % (775382)Peak memory usage: 89 MB
% 3.14/1.06  % (775382)Instructions burned: 140 (million)
% 3.14/1.06  % (775379)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 3.14/1.06  % (775381)First to succeed.
% 3.14/1.06  % (775381)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-775372"
% 3.14/1.06  % (775383)Also succeeded, but the first one will report.
% 3.14/1.06  % (775380)Instruction limit reached! 
% 3.14/1.06  % (775380)------------------------------
% 3.14/1.06  % (775380)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.14/1.06  % (775380)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.14/1.06  % (775380)CaDiCaL version: 2.1.3
% 3.14/1.06  % (775380)Termination reason: Instruction limit
% 3.14/1.06  % (775380)Termination phase: Saturation
% 3.14/1.06  % (775380)Time elapsed: 0.052 s
% 3.14/1.06  % (775380)Peak memory usage: 89 MB
% 3.14/1.06  % (775380)Instructions burned: 110 (million)
% 3.14/1.06  % (775391)lrs+10_1_sil=8000:sp=occurrence:random_seed=1447796008:i=285:sd=3:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/285Mi)
% 3.14/1.06  % (775391)Also succeeded, but the first one will report.
% 3.14/1.06  % (775392)lrs+10_1_sil=32000:urr=on:br=off:random_seed=2639038328:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 3.14/1.06  % (775392)Refutation not found, incomplete strategy
% 3.14/1.06  % (775392)------------------------------
% 3.14/1.06  % (775392)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.14/1.06  % (775392)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.14/1.06  % (775392)CaDiCaL version: 2.1.3
% 3.14/1.06  % (775392)Termination reason: Refutation not found, incomplete strategy
% 3.14/1.06  % (775392)Time elapsed: 0.003 s
% 3.14/1.06  % (775392)Peak memory usage: 87 MB
% 3.14/1.06  % (775392)Instructions burned: 3 (million)
% 3.14/1.06  % (775381)Refutation found. Thanks to Tanya!
% 3.14/1.06  % SZS status Theorem for theBenchmark
% 3.14/1.06  % SZS output start Proof for theBenchmark
% See solution above
% 3.51/1.25  % (775381)------------------------------
% 3.51/1.25  % (775381)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.51/1.25  % (775381)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.51/1.25  % (775381)CaDiCaL version: 2.1.3
% 3.51/1.25  % (775381)Termination reason: Refutation
% 3.51/1.25  % (775381)Time elapsed: 0.020 s
% 3.51/1.25  % (775381)Peak memory usage: 88 MB
% 3.51/1.25  % (775381)Instructions burned: 30 (million)
% 3.51/1.25  % (775381)------------------------------
% 3.51/1.25  % (775381)------------------------------
% 3.51/1.25  % (775372)Success in time 0.449 s
% 3.51/1.25  % Vampire exiting
%------------------------------------------------------------------------------