TSTP Solution File: SWV075+1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : SWV075+1 : TPTP v8.1.2. Bugfixed v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s

% Computer : n005.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 04:02:25 EDT 2024

% Result   : Theorem 0.57s 0.76s
% Output   : Refutation 0.57s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   19 (   9 unt;   0 def)
%            Number of atoms       :   57 (   0 equ)
%            Maximal formula atoms :    8 (   3 avg)
%            Number of connectives :   55 (  17   ~;  12   |;  20   &)
%                                         (   4 <=>;   2  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   3 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    6 (   5 usr;   5 prp; 0-2 aty)
%            Number of functors    :    7 (   7 usr;   6 con; 0-2 aty)
%            Number of variables   :    0 (   0   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f229,plain,
    $false,
    inference(avatar_sat_refutation,[],[f224,f225,f226,f227,f228]) ).

fof(f228,plain,
    spl1_1,
    inference(avatar_split_clause,[],[f121,f209]) ).

fof(f209,plain,
    ( spl1_1
  <=> leq(n0,pv31) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_1])]) ).

fof(f121,plain,
    leq(n0,pv31),
    inference(cnf_transformation,[],[f95]) ).

fof(f95,plain,
    ( ( ~ leq(pv37,minus(n135300,n1))
      | ~ leq(pv31,minus(n5,n1))
      | ~ leq(n0,pv37)
      | ~ leq(n0,pv31) )
    & leq(pv37,minus(n135300,n1))
    & leq(pv31,minus(n5,n1))
    & leq(n0,pv37)
    & leq(n0,pv31) ),
    inference(flattening,[],[f94]) ).

fof(f94,plain,
    ( ( ~ leq(pv37,minus(n135300,n1))
      | ~ leq(pv31,minus(n5,n1))
      | ~ leq(n0,pv37)
      | ~ leq(n0,pv31) )
    & leq(pv37,minus(n135300,n1))
    & leq(pv31,minus(n5,n1))
    & leq(n0,pv37)
    & leq(n0,pv31) ),
    inference(ennf_transformation,[],[f54]) ).

fof(f54,negated_conjecture,
    ~ ( ( leq(pv37,minus(n135300,n1))
        & leq(pv31,minus(n5,n1))
        & leq(n0,pv37)
        & leq(n0,pv31) )
     => ( leq(pv37,minus(n135300,n1))
        & leq(pv31,minus(n5,n1))
        & leq(n0,pv37)
        & leq(n0,pv31) ) ),
    inference(negated_conjecture,[],[f53]) ).

fof(f53,conjecture,
    ( ( leq(pv37,minus(n135300,n1))
      & leq(pv31,minus(n5,n1))
      & leq(n0,pv37)
      & leq(n0,pv31) )
   => ( leq(pv37,minus(n135300,n1))
      & leq(pv31,minus(n5,n1))
      & leq(n0,pv37)
      & leq(n0,pv31) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.hU5tUkVzAb/Vampire---4.8_1957',cl5_nebula_array_0016) ).

fof(f227,plain,
    spl1_2,
    inference(avatar_split_clause,[],[f122,f213]) ).

fof(f213,plain,
    ( spl1_2
  <=> leq(n0,pv37) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_2])]) ).

fof(f122,plain,
    leq(n0,pv37),
    inference(cnf_transformation,[],[f95]) ).

fof(f226,plain,
    spl1_3,
    inference(avatar_split_clause,[],[f123,f217]) ).

fof(f217,plain,
    ( spl1_3
  <=> leq(pv31,minus(n5,n1)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_3])]) ).

fof(f123,plain,
    leq(pv31,minus(n5,n1)),
    inference(cnf_transformation,[],[f95]) ).

fof(f225,plain,
    spl1_4,
    inference(avatar_split_clause,[],[f124,f221]) ).

fof(f221,plain,
    ( spl1_4
  <=> leq(pv37,minus(n135300,n1)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_4])]) ).

fof(f124,plain,
    leq(pv37,minus(n135300,n1)),
    inference(cnf_transformation,[],[f95]) ).

fof(f224,plain,
    ( ~ spl1_1
    | ~ spl1_2
    | ~ spl1_3
    | ~ spl1_4 ),
    inference(avatar_split_clause,[],[f125,f221,f217,f213,f209]) ).

fof(f125,plain,
    ( ~ leq(pv37,minus(n135300,n1))
    | ~ leq(pv31,minus(n5,n1))
    | ~ leq(n0,pv37)
    | ~ leq(n0,pv31) ),
    inference(cnf_transformation,[],[f95]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.13/0.13  % Problem    : SWV075+1 : TPTP v8.1.2. Bugfixed v3.3.0.
% 0.13/0.15  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.15/0.36  % Computer : n005.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 18:35:56 EDT 2024
% 0.15/0.36  % CPUTime    : 
% 0.15/0.36  This is a FOF_THM_RFO_SEQ problem
% 0.15/0.36  Running vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t 300 /export/starexec/sandbox2/tmp/tmp.hU5tUkVzAb/Vampire---4.8_1957
% 0.57/0.76  % (2146)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)
% 0.57/0.76  % (2149)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)
% 0.57/0.76  % (2142)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)
% 0.57/0.76  % (2144)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.57/0.76  % (2145)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)
% 0.57/0.76  % (2147)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)
% 0.57/0.76  % (2148)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)
% 0.57/0.76  % (2149)First to succeed.
% 0.57/0.76  % (2143)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)
% 0.57/0.76  % (2149)Refutation found. Thanks to Tanya!
% 0.57/0.76  % SZS status Theorem for Vampire---4
% 0.57/0.76  % SZS output start Proof for Vampire---4
% See solution above
% 0.57/0.76  % (2149)------------------------------
% 0.57/0.76  % (2149)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.57/0.76  % (2149)Termination reason: Refutation
% 0.57/0.76  
% 0.57/0.76  % (2149)Memory used [KB]: 1098
% 0.57/0.76  % (2149)Time elapsed: 0.002 s
% 0.57/0.76  % (2149)Instructions burned: 5 (million)
% 0.57/0.76  % (2149)------------------------------
% 0.57/0.76  % (2149)------------------------------
% 0.57/0.76  % (2115)Success in time 0.39 s
% 0.57/0.76  % Vampire---4.8 exiting
%------------------------------------------------------------------------------