TSTP Solution File: LCL774_5 by Vampire---4.8

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%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : LCL774_5 : TPTP v8.2.0. Released v6.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s

% Computer : n012.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Tue May 21 00:22:48 EDT 2024

% Result   : Theorem 0.55s 0.74s
% Output   : Refutation 0.55s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :   45
% Syntax   : Number of formulae    :   51 (   8 unt;  43 typ;   0 def)
%            Number of atoms       :    8 (   0 equ)
%            Maximal formula atoms :    1 (   1 avg)
%            Number of connectives :    3 (   3   ~;   0   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    2 (   2 avg)
%            Maximal term depth    :    3 (   2 avg)
%            Number of types       :    4 (   3 usr)
%            Number of type conns  :   44 (  23   >;  21   *;   0   +;   0  <<)
%            Number of predicates  :   13 (  12 usr;   1 prp; 0-3 aty)
%            Number of functors    :   28 (  28 usr;   6 con; 0-5 aty)
%            Number of variables   :   24 (   3   !;   0   ?;  24   :)
%                                         (  21  !>;   0  ?*;   0  @-;   0  @+)

% 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,
    fun: ( $tType * $tType ) > $tType ).

tff(func_def_0,type,
    plus_plus: 
      !>[X0: $tType] : fun(X0,fun(X0,X0)) ).

tff(func_def_1,type,
    zero_zero: 
      !>[X0: $tType] : X0 ).

tff(func_def_2,type,
    it: fun(dB,bool) ).

tff(func_def_3,type,
    abs: dB > dB ).

tff(func_def_4,type,
    app: fun(dB,fun(dB,dB)) ).

tff(func_def_5,type,
    var: nat > dB ).

tff(func_def_6,type,
    dB_case: 
      !>[X0: $tType] : ( ( fun(nat,X0) * fun(dB,fun(dB,X0)) * fun(dB,X0) * dB ) > X0 ) ).

tff(func_def_7,type,
    dB_rec: 
      !>[X0: $tType] : ( ( fun(nat,X0) * fun(dB,fun(dB,fun(X0,fun(X0,X0)))) * fun(dB,fun(X0,X0)) * dB ) > X0 ) ).

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

tff(func_def_9,type,
    lift: ( dB * nat ) > dB ).

tff(func_def_10,type,
    liftn: ( nat * dB * nat ) > dB ).

tff(func_def_11,type,
    subst: ( dB * dB * nat ) > dB ).

tff(func_def_12,type,
    substn: ( dB * dB * nat ) > dB ).

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

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

tff(func_def_15,type,
    suc: nat > nat ).

tff(func_def_16,type,
    aa: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * X0 ) > X1 ) ).

tff(func_def_17,type,
    fFalse: bool ).

tff(func_def_18,type,
    fTrue: bool ).

tff(func_def_19,type,
    i: nat ).

tff(func_def_20,type,
    r: dB ).

tff(func_def_21,type,
    sK0: fun(nat,bool) > nat ).

tff(func_def_22,type,
    sK1: fun(nat,bool) > nat ).

tff(func_def_23,type,
    sK2: 
      !>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * fun(X1,X0) ) > X1 ) ).

tff(func_def_24,type,
    sK3: nat > nat ).

tff(func_def_25,type,
    sK4: nat > nat ).

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

tff(pred_def_2,type,
    monoid_add: 
      !>[X0: $tType] : $o ).

tff(pred_def_3,type,
    semigroup_add: 
      !>[X0: $tType] : $o ).

tff(pred_def_4,type,
    comm_monoid_add: 
      !>[X0: $tType] : $o ).

tff(pred_def_5,type,
    ab_semigroup_add: 
      !>[X0: $tType] : $o ).

tff(pred_def_6,type,
    cancel_semigroup_add: 
      !>[X0: $tType] : $o ).

tff(pred_def_7,type,
    cancel146912293up_add: 
      !>[X0: $tType] : $o ).

tff(pred_def_8,type,
    linord219039673up_add: 
      !>[X0: $tType] : $o ).

tff(pred_def_9,type,
    beta: ( dB * dB ) > $o ).

tff(pred_def_10,type,
    listsp: 
      !>[X0: $tType] : ( ( fun(X0,bool) * list(X0) ) > $o ) ).

tff(pred_def_11,type,
    pp: bool > $o ).

tff(pred_def_12,type,
    sQ5_eqProxy: 
      !>[X0: $tType] : ( ( X0 * X0 ) > $o ) ).

tff(f328,plain,
    $false,
    inference(subsumption_resolution,[],[f191,f195]) ).

tff(f195,plain,
    ! [X0: nat] : pp(aa(dB,bool,it,var(X0))),
    inference(cnf_transformation,[],[f116]) ).

tff(f116,plain,
    ! [X0: nat] : pp(aa(dB,bool,it,var(X0))),
    inference(rectify,[],[f1]) ).

tff(f1,axiom,
    ! [X3: nat] : pp(aa(dB,bool,it,var(X3))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_0_Var__IT) ).

tff(f191,plain,
    ~ pp(aa(dB,bool,it,var(i))),
    inference(cnf_transformation,[],[f112]) ).

tff(f112,plain,
    ~ pp(aa(dB,bool,it,var(i))),
    inference(flattening,[],[f111]) ).

tff(f111,negated_conjecture,
    ~ pp(aa(dB,bool,it,var(i))),
    inference(negated_conjecture,[],[f110]) ).

tff(f110,conjecture,
    pp(aa(dB,bool,it,var(i))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_2) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12  % Problem    : LCL774_5 : TPTP v8.2.0. Released v6.0.0.
% 0.12/0.14  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.14/0.35  % Computer : n012.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit   : 300
% 0.14/0.35  % WCLimit    : 300
% 0.14/0.35  % DateTime   : Mon May 20 03:16:53 EDT 2024
% 0.14/0.35  % CPUTime    : 
% 0.14/0.35  This is a TF1_THM_EQU_NAR problem
% 0.14/0.36  Running vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.55/0.74  % (30522)lrs-21_1:1_to=lpo:sil=2000:sp=frequency:sos=on:lma=on:i=56:sd=2:ss=axioms:ep=R_0 on theBenchmark for (2996ds/56Mi)
% 0.55/0.74  % (30515)dis-1011_2:1_sil=2000:lsd=20:nwc=5.0:flr=on:mep=off:st=3.0:i=34:sd=1:ep=RS:ss=axioms_0 on theBenchmark for (2996ds/34Mi)
% 0.55/0.74  % (30517)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on theBenchmark for (2996ds/78Mi)
% 0.55/0.74  % (30516)lrs+1011_461:32768_sil=16000:irw=on:sp=frequency:lsd=20:fd=preordered:nwc=10.0:s2agt=32:alpa=false:cond=fast:s2a=on:i=51:s2at=3.0:awrs=decay:awrsf=691:bd=off:nm=20:fsr=off:amm=sco:uhcvi=on:rawr=on_0 on theBenchmark for (2996ds/51Mi)
% 0.55/0.74  % (30518)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on theBenchmark for (2996ds/33Mi)
% 0.55/0.74  % (30519)lrs+2_1:1_sil=16000:fde=none:sos=all:nwc=5.0:i=34:ep=RS:s2pl=on:lma=on:afp=100000_0 on theBenchmark for (2996ds/34Mi)
% 0.55/0.74  % (30520)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on theBenchmark for (2996ds/45Mi)
% 0.55/0.74  % (30521)lrs+21_1:5_sil=2000:sos=on:urr=on:newcnf=on:slsq=on:i=83:slsql=off:bd=off:nm=2:ss=axioms:st=1.5:sp=const_min:gsp=on:rawr=on_0 on theBenchmark for (2996ds/83Mi)
% 0.55/0.74  % (30522)First to succeed.
% 0.55/0.74  % (30522)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-30514"
% 0.55/0.74  % (30522)Refutation found. Thanks to Tanya!
% 0.55/0.74  % SZS status Theorem for theBenchmark
% 0.55/0.74  % SZS output start Proof for theBenchmark
% See solution above
% 0.55/0.74  % (30522)------------------------------
% 0.55/0.74  % (30522)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.55/0.74  % (30522)Termination reason: Refutation
% 0.55/0.74  
% 0.55/0.74  % (30522)Memory used [KB]: 1116
% 0.55/0.74  % (30522)Time elapsed: 0.003 s
% 0.55/0.74  % (30522)Instructions burned: 8 (million)
% 0.55/0.74  % (30514)Success in time 0.38 s
% 0.55/0.75  % Vampire---4.8 exiting
%------------------------------------------------------------------------------