TSTP Solution File: PUZ030-2 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : PUZ030-2 : 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/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s

% Computer : n031.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 03:38:18 EDT 2024

% Result   : Unsatisfiable 0.62s 0.78s
% Output   : Refutation 0.62s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    2
%            Number of leaves      :   44
% Syntax   : Number of formulae    :   79 (   1 unt;   0 def)
%            Number of atoms       :  263 (   0 equ)
%            Maximal formula atoms :   10 (   3 avg)
%            Number of connectives :  312 ( 128   ~; 174   |;   0   &)
%                                         (  10 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   11 (   4 avg)
%            Maximal term depth    :    0 (   0 avg)
%            Number of predicates  :   21 (  20 usr;  21 prp; 0-0 aty)
%            Number of functors    :    0 (   0 usr;   0 con; --- aty)
%            Number of variables   :    0 (   0   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f167,plain,
    $false,
    inference(avatar_sat_refutation,[],[f103,f110,f111,f118,f119,f120,f123,f126,f128,f131,f132,f133,f134,f135,f137,f138,f139,f140,f141,f144,f145,f146,f147,f148,f151,f152,f153,f155,f156,f157,f159,f162,f165,f166]) ).

fof(f166,plain,
    ( spl0_4
    | ~ spl0_2
    | ~ spl0_5
    | ~ spl0_1
    | ~ spl0_3
    | spl0_8
    | spl0_6
    | spl0_10
    | spl0_9
    | spl0_7 ),
    inference(avatar_split_clause,[],[f63,f93,f105,f113,f89,f99,f73,f65,f83,f69,f78]) ).

fof(f78,plain,
    ( spl0_4
  <=> salt_lang ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).

fof(f69,plain,
    ( spl0_2
  <=> mustard_barry ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).

fof(f83,plain,
    ( spl0_5
  <=> salt_barry ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).

fof(f65,plain,
    ( spl0_1
  <=> salt_mill ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).

fof(f73,plain,
    ( spl0_3
  <=> mustard_lang ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).

fof(f99,plain,
    ( spl0_8
  <=> salt_cole ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).

fof(f89,plain,
    ( spl0_6
  <=> mustard_cole ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).

fof(f113,plain,
    ( spl0_10
  <=> salt_dix ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).

fof(f105,plain,
    ( spl0_9
  <=> mustard_dix ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).

fof(f93,plain,
    ( spl0_7
  <=> mustard_mill ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).

fof(f63,axiom,
    ( mustard_mill
    | mustard_dix
    | salt_dix
    | mustard_cole
    | salt_cole
    | ~ mustard_lang
    | ~ salt_mill
    | ~ salt_barry
    | ~ mustard_barry
    | salt_lang ),
    file('/export/starexec/sandbox2/tmp/tmp.Ets9Ntl0N6/Vampire---4.8_10307',prove_who_takes_what) ).

fof(f165,plain,
    ( spl0_10
    | spl0_9
    | spl0_2 ),
    inference(avatar_split_clause,[],[f62,f69,f105,f113]) ).

fof(f62,axiom,
    ( mustard_barry
    | mustard_dix
    | salt_dix ),
    file('/export/starexec/sandbox2/tmp/tmp.Ets9Ntl0N6/Vampire---4.8_10307',c62) ).

fof(f162,plain,
    ( spl0_4
    | spl0_3
    | spl0_9 ),
    inference(avatar_split_clause,[],[f59,f105,f73,f78]) ).

fof(f59,axiom,
    ( mustard_dix
    | mustard_lang
    | salt_lang ),
    file('/export/starexec/sandbox2/tmp/tmp.Ets9Ntl0N6/Vampire---4.8_10307',c59) ).

fof(f159,plain,
    ( spl0_1
    | spl0_7
    | spl0_3 ),
    inference(avatar_split_clause,[],[f56,f73,f93,f65]) ).

fof(f56,axiom,
    ( mustard_lang
    | mustard_mill
    | salt_mill ),
    file('/export/starexec/sandbox2/tmp/tmp.Ets9Ntl0N6/Vampire---4.8_10307',c56) ).

fof(f157,plain,
    ( ~ spl0_5
    | ~ spl0_6
    | ~ spl0_8
    | ~ spl0_3
    | ~ spl0_4 ),
    inference(avatar_split_clause,[],[f54,f78,f73,f99,f89,f83]) ).

fof(f54,axiom,
    ( ~ salt_lang
    | ~ mustard_lang
    | ~ salt_cole
    | ~ mustard_cole
    | ~ salt_barry ),
    file('/export/starexec/sandbox2/tmp/tmp.Ets9Ntl0N6/Vampire---4.8_10307',c54) ).

fof(f156,plain,
    ( ~ spl0_4
    | spl0_5
    | spl0_2
    | ~ spl0_9
    | ~ spl0_10 ),
    inference(avatar_split_clause,[],[f53,f113,f105,f69,f83,f78]) ).

fof(f53,axiom,
    ( ~ salt_dix
    | ~ mustard_dix
    | mustard_barry
    | salt_barry
    | ~ salt_lang ),
    file('/export/starexec/sandbox2/tmp/tmp.Ets9Ntl0N6/Vampire---4.8_10307',c53) ).

fof(f155,plain,
    ( ~ spl0_4
    | ~ spl0_2
    | ~ spl0_5
    | spl0_10
    | spl0_9 ),
    inference(avatar_split_clause,[],[f52,f105,f113,f83,f69,f78]) ).

fof(f52,axiom,
    ( mustard_dix
    | salt_dix
    | ~ salt_barry
    | ~ mustard_barry
    | ~ salt_lang ),
    file('/export/starexec/sandbox2/tmp/tmp.Ets9Ntl0N6/Vampire---4.8_10307',c52) ).

fof(f153,plain,
    ( ~ spl0_7
    | spl0_8
    | spl0_6
    | spl0_10
    | spl0_9 ),
    inference(avatar_split_clause,[],[f50,f105,f113,f89,f99,f93]) ).

fof(f50,axiom,
    ( mustard_dix
    | salt_dix
    | mustard_cole
    | salt_cole
    | ~ mustard_mill ),
    file('/export/starexec/sandbox2/tmp/tmp.Ets9Ntl0N6/Vampire---4.8_10307',c50) ).

fof(f152,plain,
    ( ~ spl0_7
    | ~ spl0_6
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_10 ),
    inference(avatar_split_clause,[],[f49,f113,f105,f99,f89,f93]) ).

fof(f49,axiom,
    ( ~ salt_dix
    | ~ mustard_dix
    | ~ salt_cole
    | ~ mustard_cole
    | ~ mustard_mill ),
    file('/export/starexec/sandbox2/tmp/tmp.Ets9Ntl0N6/Vampire---4.8_10307',c49) ).

fof(f151,plain,
    ( ~ spl0_8
    | spl0_5
    | spl0_2
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f48,f65,f69,f83,f99]) ).

fof(f48,axiom,
    ( ~ salt_mill
    | mustard_barry
    | salt_barry
    | ~ salt_cole ),
    file('/export/starexec/sandbox2/tmp/tmp.Ets9Ntl0N6/Vampire---4.8_10307',c48) ).

fof(f148,plain,
    ( ~ spl0_8
    | ~ spl0_2
    | ~ spl0_5
    | ~ spl0_7 ),
    inference(avatar_split_clause,[],[f45,f93,f83,f69,f99]) ).

fof(f45,axiom,
    ( ~ mustard_mill
    | ~ salt_barry
    | ~ mustard_barry
    | ~ salt_cole ),
    file('/export/starexec/sandbox2/tmp/tmp.Ets9Ntl0N6/Vampire---4.8_10307',c45) ).

fof(f147,plain,
    ( ~ spl0_8
    | spl0_6
    | spl0_5 ),
    inference(avatar_split_clause,[],[f44,f83,f89,f99]) ).

fof(f44,axiom,
    ( salt_barry
    | mustard_cole
    | ~ salt_cole ),
    file('/export/starexec/sandbox2/tmp/tmp.Ets9Ntl0N6/Vampire---4.8_10307',c44) ).

fof(f146,plain,
    ( spl0_8
    | ~ spl0_6
    | spl0_5 ),
    inference(avatar_split_clause,[],[f43,f83,f89,f99]) ).

fof(f43,axiom,
    ( salt_barry
    | ~ mustard_cole
    | salt_cole ),
    file('/export/starexec/sandbox2/tmp/tmp.Ets9Ntl0N6/Vampire---4.8_10307',c43) ).

fof(f145,plain,
    ( ~ spl0_4
    | spl0_3
    | spl0_5 ),
    inference(avatar_split_clause,[],[f42,f83,f73,f78]) ).

fof(f42,axiom,
    ( salt_barry
    | mustard_lang
    | ~ salt_lang ),
    file('/export/starexec/sandbox2/tmp/tmp.Ets9Ntl0N6/Vampire---4.8_10307',c42) ).

fof(f144,plain,
    ( spl0_4
    | ~ spl0_3
    | spl0_5 ),
    inference(avatar_split_clause,[],[f41,f83,f73,f78]) ).

fof(f41,axiom,
    ( salt_barry
    | ~ mustard_lang
    | salt_lang ),
    file('/export/starexec/sandbox2/tmp/tmp.Ets9Ntl0N6/Vampire---4.8_10307',c41) ).

fof(f141,plain,
    ( spl0_5
    | ~ spl0_2
    | spl0_8 ),
    inference(avatar_split_clause,[],[f38,f99,f69,f83]) ).

fof(f38,axiom,
    ( salt_cole
    | ~ mustard_barry
    | salt_barry ),
    file('/export/starexec/sandbox2/tmp/tmp.Ets9Ntl0N6/Vampire---4.8_10307',c38) ).

fof(f140,plain,
    ( ~ spl0_10
    | ~ spl0_9
    | spl0_6 ),
    inference(avatar_split_clause,[],[f37,f89,f105,f113]) ).

fof(f37,axiom,
    ( mustard_cole
    | ~ mustard_dix
    | ~ salt_dix ),
    file('/export/starexec/sandbox2/tmp/tmp.Ets9Ntl0N6/Vampire---4.8_10307',c37) ).

fof(f139,plain,
    ( ~ spl0_4
    | ~ spl0_3
    | spl0_6 ),
    inference(avatar_split_clause,[],[f36,f89,f73,f78]) ).

fof(f36,axiom,
    ( mustard_cole
    | ~ mustard_lang
    | ~ salt_lang ),
    file('/export/starexec/sandbox2/tmp/tmp.Ets9Ntl0N6/Vampire---4.8_10307',c36) ).

fof(f138,plain,
    ( ~ spl0_8
    | ~ spl0_6
    | spl0_10 ),
    inference(avatar_split_clause,[],[f35,f113,f89,f99]) ).

fof(f35,axiom,
    ( salt_dix
    | ~ mustard_cole
    | ~ salt_cole ),
    file('/export/starexec/sandbox2/tmp/tmp.Ets9Ntl0N6/Vampire---4.8_10307',c35) ).

fof(f137,plain,
    ( ~ spl0_5
    | spl0_2
    | spl0_4 ),
    inference(avatar_split_clause,[],[f34,f78,f69,f83]) ).

fof(f34,axiom,
    ( salt_lang
    | mustard_barry
    | ~ salt_barry ),
    file('/export/starexec/sandbox2/tmp/tmp.Ets9Ntl0N6/Vampire---4.8_10307',c34) ).

fof(f135,plain,
    ( ~ spl0_10
    | spl0_9
    | spl0_4 ),
    inference(avatar_split_clause,[],[f32,f78,f105,f113]) ).

fof(f32,axiom,
    ( salt_lang
    | mustard_dix
    | ~ salt_dix ),
    file('/export/starexec/sandbox2/tmp/tmp.Ets9Ntl0N6/Vampire---4.8_10307',c32) ).

fof(f134,plain,
    ( spl0_10
    | ~ spl0_9
    | spl0_4 ),
    inference(avatar_split_clause,[],[f31,f78,f105,f113]) ).

fof(f31,axiom,
    ( salt_lang
    | ~ mustard_dix
    | salt_dix ),
    file('/export/starexec/sandbox2/tmp/tmp.Ets9Ntl0N6/Vampire---4.8_10307',c31) ).

fof(f133,plain,
    ( ~ spl0_5
    | ~ spl0_2
    | spl0_1 ),
    inference(avatar_split_clause,[],[f30,f65,f69,f83]) ).

fof(f30,axiom,
    ( salt_mill
    | ~ mustard_barry
    | ~ salt_barry ),
    file('/export/starexec/sandbox2/tmp/tmp.Ets9Ntl0N6/Vampire---4.8_10307',c30) ).

fof(f132,plain,
    ( ~ spl0_4
    | ~ spl0_3
    | spl0_1 ),
    inference(avatar_split_clause,[],[f29,f65,f73,f78]) ).

fof(f29,axiom,
    ( salt_mill
    | ~ mustard_lang
    | ~ salt_lang ),
    file('/export/starexec/sandbox2/tmp/tmp.Ets9Ntl0N6/Vampire---4.8_10307',c29) ).

fof(f131,plain,
    ( ~ spl0_8
    | spl0_6
    | spl0_7 ),
    inference(avatar_split_clause,[],[f28,f93,f89,f99]) ).

fof(f28,axiom,
    ( mustard_mill
    | mustard_cole
    | ~ salt_cole ),
    file('/export/starexec/sandbox2/tmp/tmp.Ets9Ntl0N6/Vampire---4.8_10307',c28) ).

fof(f128,plain,
    ( spl0_10
    | ~ spl0_9
    | spl0_7 ),
    inference(avatar_split_clause,[],[f25,f93,f105,f113]) ).

fof(f25,axiom,
    ( mustard_mill
    | ~ mustard_dix
    | salt_dix ),
    file('/export/starexec/sandbox2/tmp/tmp.Ets9Ntl0N6/Vampire---4.8_10307',c25) ).

fof(f126,plain,
    ( ~ spl0_2
    | ~ spl0_10
    | spl0_7 ),
    inference(avatar_split_clause,[],[f23,f93,f113,f69]) ).

fof(f23,axiom,
    ( mustard_mill
    | ~ salt_dix
    | ~ mustard_barry ),
    file('/export/starexec/sandbox2/tmp/tmp.Ets9Ntl0N6/Vampire---4.8_10307',c23) ).

fof(f123,plain,
    ( ~ spl0_6
    | spl0_10
    | spl0_4 ),
    inference(avatar_split_clause,[],[f20,f78,f113,f89]) ).

fof(f20,axiom,
    ( salt_lang
    | salt_dix
    | ~ mustard_cole ),
    file('/export/starexec/sandbox2/tmp/tmp.Ets9Ntl0N6/Vampire---4.8_10307',c20) ).

fof(f120,plain,
    ( ~ spl0_6
    | spl0_9
    | spl0_3 ),
    inference(avatar_split_clause,[],[f17,f73,f105,f89]) ).

fof(f17,axiom,
    ( mustard_lang
    | mustard_dix
    | ~ mustard_cole ),
    file('/export/starexec/sandbox2/tmp/tmp.Ets9Ntl0N6/Vampire---4.8_10307',c17) ).

fof(f119,plain,
    ( ~ spl0_10
    | ~ spl0_5
    | spl0_8 ),
    inference(avatar_split_clause,[],[f16,f99,f83,f113]) ).

fof(f16,axiom,
    ( salt_cole
    | ~ salt_barry
    | ~ salt_dix ),
    file('/export/starexec/sandbox2/tmp/tmp.Ets9Ntl0N6/Vampire---4.8_10307',c16) ).

fof(f118,plain,
    ( ~ spl0_10
    | ~ spl0_5
    | spl0_6 ),
    inference(avatar_split_clause,[],[f15,f89,f83,f113]) ).

fof(f15,axiom,
    ( mustard_cole
    | ~ salt_barry
    | ~ salt_dix ),
    file('/export/starexec/sandbox2/tmp/tmp.Ets9Ntl0N6/Vampire---4.8_10307',c15) ).

fof(f111,plain,
    ( ~ spl0_9
    | ~ spl0_4
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f12,f65,f78,f105]) ).

fof(f12,axiom,
    ( ~ salt_mill
    | ~ salt_lang
    | ~ mustard_dix ),
    file('/export/starexec/sandbox2/tmp/tmp.Ets9Ntl0N6/Vampire---4.8_10307',c12) ).

fof(f110,plain,
    ( ~ spl0_9
    | ~ spl0_4
    | ~ spl0_7 ),
    inference(avatar_split_clause,[],[f11,f93,f78,f105]) ).

fof(f11,axiom,
    ( ~ mustard_mill
    | ~ salt_lang
    | ~ mustard_dix ),
    file('/export/starexec/sandbox2/tmp/tmp.Ets9Ntl0N6/Vampire---4.8_10307',c11) ).

fof(f103,plain,
    ( ~ spl0_3
    | ~ spl0_8
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f8,f65,f99,f73]) ).

fof(f8,axiom,
    ( ~ salt_mill
    | ~ salt_cole
    | ~ mustard_lang ),
    file('/export/starexec/sandbox2/tmp/tmp.Ets9Ntl0N6/Vampire---4.8_10307',c8) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.09  % Problem    : PUZ030-2 : TPTP v8.1.2. Released v1.0.0.
% 0.00/0.10  % 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
% 0.11/0.30  % Computer : n031.cluster.edu
% 0.11/0.30  % Model    : x86_64 x86_64
% 0.11/0.30  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.30  % Memory   : 8042.1875MB
% 0.11/0.30  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.30  % CPULimit   : 300
% 0.11/0.30  % WCLimit    : 300
% 0.11/0.30  % DateTime   : Tue Apr 30 18:02:44 EDT 2024
% 0.11/0.30  % CPUTime    : 
% 0.11/0.30  This is a CNF_UNS_PRP problem
% 0.11/0.30  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.Ets9Ntl0N6/Vampire---4.8_10307
% 0.62/0.77  % (10416)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 (2995ds/34Mi)
% 0.62/0.77  % (10418)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2995ds/78Mi)
% 0.62/0.77  % (10419)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on Vampire---4 for (2995ds/33Mi)
% 0.62/0.77  % (10417)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 (2995ds/51Mi)
% 0.62/0.77  % (10420)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 (2995ds/34Mi)
% 0.62/0.77  % (10421)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on Vampire---4 for (2995ds/45Mi)
% 0.62/0.77  % (10422)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 (2995ds/83Mi)
% 0.62/0.77  % (10423)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 (2995ds/56Mi)
% 0.62/0.77  % (10423)First to succeed.
% 0.62/0.78  % (10418)Also succeeded, but the first one will report.
% 0.62/0.78  % (10416)Also succeeded, but the first one will report.
% 0.62/0.78  % (10423)Refutation found. Thanks to Tanya!
% 0.62/0.78  % SZS status Unsatisfiable for Vampire---4
% 0.62/0.78  % SZS output start Proof for Vampire---4
% See solution above
% 0.62/0.78  % (10423)------------------------------
% 0.62/0.78  % (10423)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.62/0.78  % (10423)Termination reason: Refutation
% 0.62/0.78  
% 0.62/0.78  % (10423)Memory used [KB]: 1016
% 0.62/0.78  % (10423)Time elapsed: 0.004 s
% 0.62/0.78  % (10423)Instructions burned: 4 (million)
% 0.62/0.78  % (10423)------------------------------
% 0.62/0.78  % (10423)------------------------------
% 0.62/0.78  % (10414)Success in time 0.472 s
% 0.62/0.78  % Vampire---4.8 exiting
%------------------------------------------------------------------------------