TSTP Solution File: SWV005-1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : SWV005-1 : TPTP v8.1.2. Released v1.0.0.
% 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 : n015.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 : Wed May  1 04:02:05 EDT 2024

% Result   : Unsatisfiable 0.58s 0.75s
% Output   : Refutation 0.58s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    8
% Syntax   : Number of formulae    :   16 (   7 unt;   1 typ;   0 def)
%            Number of atoms       :   69 (   0 equ)
%            Maximal formula atoms :    4 (   4 avg)
%            Number of connectives :   27 (  12   ~;  13   |;   0   &)
%                                         (   2 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    5 (   3 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of FOOLs       :   39 (  39 fml;   0 var)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    2 (   1   >;   1   *;   0   +;   0  <<)
%            Number of predicates  :   11 (  10 usr;   7 prp; 0-3 aty)
%            Number of functors    :    0 (   0 usr;   0 con; --- aty)
%            Number of variables   :    4 (   3   !;   0   ?;   3   :)
%                                         (   1  !>;   0  ?*;   0  @-;   0  @+)

% Comments : 
%------------------------------------------------------------------------------
tff(pred_def_2,type,
    sQ0_eqProxy: 
      !>[X0: $tType] : ( ( X0 * X0 ) > $o ) ).

tff(f45,plain,
    $false,
    inference(avatar_sat_refutation,[],[f39,f40,f44]) ).

tff(f44,plain,
    ~ spl1_2,
    inference(avatar_contradiction_clause,[],[f43]) ).

tff(f43,plain,
    ( $false
    | ~ spl1_2 ),
    inference(subsumption_resolution,[],[f42,f13]) ).

tff(f13,axiom,
    ~ less_than(n,k),
    file('/export/starexec/sandbox/tmp/tmp.KVBj4yyDM8/Vampire---4.8_31309',clause_1) ).

tff(f42,plain,
    ( less_than(n,k)
    | ~ spl1_2 ),
    inference(subsumption_resolution,[],[f41,f14]) ).

tff(f14,axiom,
    ~ less_than(k,l),
    file('/export/starexec/sandbox/tmp/tmp.KVBj4yyDM8/Vampire---4.8_31309',clause_2) ).

tff(f41,plain,
    ( less_than(k,l)
    | less_than(n,k)
    | ~ spl1_2 ),
    inference(resolution,[],[f38,f18]) ).

tff(f18,axiom,
    less_than(a(k),a(predecessor(l))),
    file('/export/starexec/sandbox/tmp/tmp.KVBj4yyDM8/Vampire---4.8_31309',clause_6) ).

tff(f38,plain,
    ( ! [X0: $i] :
        ( ~ less_than(a(X0),a(predecessor(l)))
        | less_than(X0,l)
        | less_than(n,X0) )
    | ~ spl1_2 ),
    inference(avatar_component_clause,[],[f37]) ).

tff(f37,plain,
    ( spl1_2
  <=> ! [X0] :
        ( ~ less_than(a(X0),a(predecessor(l)))
        | less_than(X0,l)
        | less_than(n,X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_2])]) ).

tff(f40,plain,
    spl1_1,
    inference(avatar_split_clause,[],[f17,f33]) ).

tff(f33,plain,
    ( spl1_1
  <=> less_than(one,l) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_1])]) ).

tff(f17,axiom,
    less_than(one,l),
    file('/export/starexec/sandbox/tmp/tmp.KVBj4yyDM8/Vampire---4.8_31309',clause_5) ).

tff(f39,plain,
    ( ~ spl1_1
    | spl1_2 ),
    inference(avatar_split_clause,[],[f20,f37,f33]) ).

tff(f20,axiom,
    ! [X0: $i] :
      ( ~ less_than(a(X0),a(predecessor(l)))
      | ~ less_than(one,l)
      | less_than(n,X0)
      | less_than(X0,l) ),
    file('/export/starexec/sandbox/tmp/tmp.KVBj4yyDM8/Vampire---4.8_31309',clause_8) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem    : SWV005-1 : TPTP v8.1.2. Released v1.0.0.
% 0.07/0.15  % 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
% 0.15/0.36  % Computer : n015.cluster.edu
% 0.15/0.36  % Model    : x86_64 x86_64
% 0.15/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36  % Memory   : 8042.1875MB
% 0.15/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36  % CPULimit   : 300
% 0.15/0.36  % WCLimit    : 300
% 0.15/0.36  % DateTime   : Tue Apr 30 18:59:33 EDT 2024
% 0.15/0.36  % CPUTime    : 
% 0.15/0.36  This is a CNF_UNS_RFO_SEQ_NHN problem
% 0.15/0.36  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/tmp/tmp.KVBj4yyDM8/Vampire---4.8_31309
% 0.58/0.75  % (31564)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 Vampire---4 for (2996ds/83Mi)
% 0.58/0.75  % (31565)lrs-21_1:1_to=lpo:sil=2000:sp=frequency:sos=on:lma=on:i=56:sd=2:ss=axioms:ep=R_0 on Vampire---4 for (2996ds/56Mi)
% 0.58/0.75  % (31558)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 Vampire---4 for (2996ds/34Mi)
% 0.58/0.75  % (31560)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.58/0.75  % (31559)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 Vampire---4 for (2996ds/51Mi)
% 0.58/0.75  % (31562)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 Vampire---4 for (2996ds/34Mi)
% 0.58/0.75  % (31561)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on Vampire---4 for (2996ds/33Mi)
% 0.58/0.75  % (31563)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on Vampire---4 for (2996ds/45Mi)
% 0.58/0.75  % (31558)First to succeed.
% 0.58/0.75  % (31560)Also succeeded, but the first one will report.
% 0.58/0.75  % (31559)Also succeeded, but the first one will report.
% 0.58/0.75  % (31558)Refutation found. Thanks to Tanya!
% 0.58/0.75  % SZS status Unsatisfiable for Vampire---4
% 0.58/0.75  % SZS output start Proof for Vampire---4
% See solution above
% 0.58/0.75  % (31558)------------------------------
% 0.58/0.75  % (31558)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.58/0.75  % (31558)Termination reason: Refutation
% 0.58/0.75  
% 0.58/0.75  % (31558)Memory used [KB]: 973
% 0.58/0.75  % (31558)Time elapsed: 0.003 s
% 0.58/0.75  % (31558)Instructions burned: 3 (million)
% 0.58/0.75  % (31558)------------------------------
% 0.58/0.75  % (31558)------------------------------
% 0.58/0.75  % (31553)Success in time 0.384 s
% 0.58/0.76  % Vampire---4.8 exiting
%------------------------------------------------------------------------------