TSTP Solution File: PUZ023-1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : PUZ023-1 : 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/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s

% Computer : n008.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 : Sun May  5 08:48:27 EDT 2024

% Result   : Unsatisfiable 0.54s 0.76s
% Output   : Refutation 0.54s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :   14
% Syntax   : Number of formulae    :   37 (   6 unt;   0 def)
%            Number of atoms       :   76 (   0 equ)
%            Maximal formula atoms :    3 (   2 avg)
%            Number of connectives :   70 (  31   ~;  31   |;   0   &)
%                                         (   8 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    4 (   3 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :   11 (  10 usr;   9 prp; 0-1 aty)
%            Number of functors    :    8 (   8 usr;   6 con; 0-1 aty)
%            Number of variables   :    2 (   2   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f75,plain,
    $false,
    inference(avatar_sat_refutation,[],[f35,f44,f53,f58,f62,f66,f68,f70,f72,f74]) ).

fof(f74,plain,
    ~ spl0_3,
    inference(avatar_contradiction_clause,[],[f73]) ).

fof(f73,plain,
    ( $false
    | ~ spl0_3 ),
    inference(subsumption_resolution,[],[f34,f22]) ).

fof(f22,axiom,
    ! [X0] : ~ an_answer(X0),
    file('/export/starexec/sandbox2/tmp/tmp.i4Htcg8CeH/Vampire---4.8_1277',prove_there_is_an_answer) ).

fof(f34,plain,
    ( an_answer(b_and_c_liars)
    | ~ spl0_3 ),
    inference(avatar_component_clause,[],[f32]) ).

fof(f32,plain,
    ( spl0_3
  <=> an_answer(b_and_c_liars) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).

fof(f72,plain,
    ~ spl0_5,
    inference(avatar_contradiction_clause,[],[f71]) ).

fof(f71,plain,
    ( $false
    | ~ spl0_5 ),
    inference(subsumption_resolution,[],[f43,f22]) ).

fof(f43,plain,
    ( an_answer(b_liar_and_c_truthteller)
    | ~ spl0_5 ),
    inference(avatar_component_clause,[],[f41]) ).

fof(f41,plain,
    ( spl0_5
  <=> an_answer(b_liar_and_c_truthteller) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).

fof(f70,plain,
    ~ spl0_7,
    inference(avatar_contradiction_clause,[],[f69]) ).

fof(f69,plain,
    ( $false
    | ~ spl0_7 ),
    inference(subsumption_resolution,[],[f52,f22]) ).

fof(f52,plain,
    ( an_answer(b_truthteller_and_c_liar)
    | ~ spl0_7 ),
    inference(avatar_component_clause,[],[f50]) ).

fof(f50,plain,
    ( spl0_7
  <=> an_answer(b_truthteller_and_c_liar) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).

fof(f68,plain,
    ~ spl0_8,
    inference(avatar_contradiction_clause,[],[f67]) ).

fof(f67,plain,
    ( $false
    | ~ spl0_8 ),
    inference(subsumption_resolution,[],[f57,f22]) ).

fof(f57,plain,
    ( an_answer(b_and_c_truthtellers)
    | ~ spl0_8 ),
    inference(avatar_component_clause,[],[f55]) ).

fof(f55,plain,
    ( spl0_8
  <=> an_answer(b_and_c_truthtellers) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).

fof(f66,plain,
    ( spl0_4
    | spl0_2 ),
    inference(avatar_split_clause,[],[f63,f28,f37]) ).

fof(f37,plain,
    ( spl0_4
  <=> a_truth(truthteller(c)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).

fof(f28,plain,
    ( spl0_2
  <=> a_truth(liar(c)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).

fof(f63,plain,
    ( a_truth(truthteller(c))
    | spl0_2 ),
    inference(resolution,[],[f30,f1]) ).

fof(f1,axiom,
    ! [X0] :
      ( a_truth(liar(X0))
      | a_truth(truthteller(X0)) ),
    file('/export/starexec/sandbox2/tmp/tmp.i4Htcg8CeH/Vampire---4.8_1277',truthteller_or_liar) ).

fof(f30,plain,
    ( ~ a_truth(liar(c))
    | spl0_2 ),
    inference(avatar_component_clause,[],[f28]) ).

fof(f62,plain,
    ( spl0_6
    | spl0_1 ),
    inference(avatar_split_clause,[],[f59,f24,f46]) ).

fof(f46,plain,
    ( spl0_6
  <=> a_truth(truthteller(b)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).

fof(f24,plain,
    ( spl0_1
  <=> a_truth(liar(b)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).

fof(f59,plain,
    ( a_truth(truthteller(b))
    | spl0_1 ),
    inference(resolution,[],[f26,f1]) ).

fof(f26,plain,
    ( ~ a_truth(liar(b))
    | spl0_1 ),
    inference(avatar_component_clause,[],[f24]) ).

fof(f58,plain,
    ( ~ spl0_6
    | ~ spl0_4
    | spl0_8 ),
    inference(avatar_split_clause,[],[f21,f55,f37,f46]) ).

fof(f21,axiom,
    ( an_answer(b_and_c_truthtellers)
    | ~ a_truth(truthteller(c))
    | ~ a_truth(truthteller(b)) ),
    file('/export/starexec/sandbox2/tmp/tmp.i4Htcg8CeH/Vampire---4.8_1277',b_and_c_truthtellers) ).

fof(f53,plain,
    ( ~ spl0_6
    | ~ spl0_2
    | spl0_7 ),
    inference(avatar_split_clause,[],[f20,f50,f28,f46]) ).

fof(f20,axiom,
    ( an_answer(b_truthteller_and_c_liar)
    | ~ a_truth(liar(c))
    | ~ a_truth(truthteller(b)) ),
    file('/export/starexec/sandbox2/tmp/tmp.i4Htcg8CeH/Vampire---4.8_1277',b_truthteller_and_c_liar) ).

fof(f44,plain,
    ( ~ spl0_1
    | ~ spl0_4
    | spl0_5 ),
    inference(avatar_split_clause,[],[f19,f41,f37,f24]) ).

fof(f19,axiom,
    ( an_answer(b_liar_and_c_truthteller)
    | ~ a_truth(truthteller(c))
    | ~ a_truth(liar(b)) ),
    file('/export/starexec/sandbox2/tmp/tmp.i4Htcg8CeH/Vampire---4.8_1277',b_liar_and_c_truthteller) ).

fof(f35,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | spl0_3 ),
    inference(avatar_split_clause,[],[f18,f32,f28,f24]) ).

fof(f18,axiom,
    ( an_answer(b_and_c_liars)
    | ~ a_truth(liar(c))
    | ~ a_truth(liar(b)) ),
    file('/export/starexec/sandbox2/tmp/tmp.i4Htcg8CeH/Vampire---4.8_1277',b_and_c_liars) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem    : PUZ023-1 : 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/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.15/0.37  % Computer : n008.cluster.edu
% 0.15/0.37  % Model    : x86_64 x86_64
% 0.15/0.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.37  % Memory   : 8042.1875MB
% 0.15/0.37  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.37  % CPULimit   : 300
% 0.15/0.37  % WCLimit    : 300
% 0.15/0.37  % DateTime   : Fri May  3 18:01:38 EDT 2024
% 0.15/0.37  % CPUTime    : 
% 0.15/0.37  This is a CNF_UNS_RFO_NEQ_NHN problem
% 0.15/0.37  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.i4Htcg8CeH/Vampire---4.8_1277
% 0.54/0.76  % (1627)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)
% 0.54/0.76  % (1627)First to succeed.
% 0.54/0.76  % (1620)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)
% 0.54/0.76  % (1622)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.54/0.76  % (1621)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)
% 0.54/0.76  % (1624)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)
% 0.54/0.76  % (1623)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)
% 0.54/0.76  % (1625)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)
% 0.54/0.76  % (1626)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)
% 0.54/0.76  % (1627)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-1471"
% 0.54/0.76  % (1627)Refutation found. Thanks to Tanya!
% 0.54/0.76  % SZS status Unsatisfiable for Vampire---4
% 0.54/0.76  % SZS output start Proof for Vampire---4
% See solution above
% 0.54/0.76  % (1627)------------------------------
% 0.54/0.76  % (1627)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.54/0.76  % (1627)Termination reason: Refutation
% 0.54/0.76  
% 0.54/0.76  % (1627)Memory used [KB]: 1002
% 0.54/0.76  % (1627)Time elapsed: 0.002 s
% 0.54/0.76  % (1627)Instructions burned: 3 (million)
% 0.54/0.76  % (1471)Success in time 0.382 s
% 0.54/0.76  % Vampire---4.8 exiting
%------------------------------------------------------------------------------