TSTP Solution File: PUZ027-1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : PUZ027-1 : 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 : n011.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 08:48:28 EDT 2024

% Result   : Unsatisfiable 0.57s 0.76s
% Output   : Refutation 0.57s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :   26
% Syntax   : Number of formulae    :   77 (  11 unt;   0 def)
%            Number of atoms       :  172 (   0 equ)
%            Maximal formula atoms :    4 (   2 avg)
%            Number of connectives :  165 (  70   ~;  80   |;   0   &)
%                                         (  15 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    4 (   3 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :   18 (  17 usr;  16 prp; 0-1 aty)
%            Number of functors    :   14 (  14 usr;  11 con; 0-1 aty)
%            Number of variables   :    2 (   2   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f136,plain,
    $false,
    inference(avatar_sat_refutation,[],[f45,f54,f63,f72,f77,f82,f91,f96,f101,f109,f117,f119,f121,f123,f125,f127,f129,f131,f133,f135]) ).

fof(f135,plain,
    ~ spl0_14,
    inference(avatar_contradiction_clause,[],[f134]) ).

fof(f134,plain,
    ( $false
    | ~ spl0_14 ),
    inference(subsumption_resolution,[],[f95,f32]) ).

fof(f32,axiom,
    ! [X2] : ~ answer(X2),
    file('/export/starexec/sandbox/tmp/tmp.sGI71zGtbO/Vampire---4.8_8404',prove_there_is_an_answer) ).

fof(f95,plain,
    ( answer(a_liar_b_normal)
    | ~ spl0_14 ),
    inference(avatar_component_clause,[],[f93]) ).

fof(f93,plain,
    ( spl0_14
  <=> answer(a_liar_b_normal) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_14])]) ).

fof(f133,plain,
    ~ spl0_13,
    inference(avatar_contradiction_clause,[],[f132]) ).

fof(f132,plain,
    ( $false
    | ~ spl0_13 ),
    inference(subsumption_resolution,[],[f90,f32]) ).

fof(f90,plain,
    ( answer(a_liar_b_truthteller)
    | ~ spl0_13 ),
    inference(avatar_component_clause,[],[f88]) ).

fof(f88,plain,
    ( spl0_13
  <=> answer(a_liar_b_truthteller) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_13])]) ).

fof(f131,plain,
    ~ spl0_5,
    inference(avatar_contradiction_clause,[],[f130]) ).

fof(f130,plain,
    ( $false
    | ~ spl0_5 ),
    inference(subsumption_resolution,[],[f53,f32]) ).

fof(f53,plain,
    ( answer(a_truthteller_b_normal)
    | ~ spl0_5 ),
    inference(avatar_component_clause,[],[f51]) ).

fof(f51,plain,
    ( spl0_5
  <=> answer(a_truthteller_b_normal) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).

fof(f129,plain,
    ~ spl0_3,
    inference(avatar_contradiction_clause,[],[f128]) ).

fof(f128,plain,
    ( $false
    | ~ spl0_3 ),
    inference(subsumption_resolution,[],[f44,f32]) ).

fof(f44,plain,
    ( answer(a_and_b_truthteller)
    | ~ spl0_3 ),
    inference(avatar_component_clause,[],[f42]) ).

fof(f42,plain,
    ( spl0_3
  <=> answer(a_and_b_truthteller) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).

fof(f127,plain,
    ~ spl0_15,
    inference(avatar_contradiction_clause,[],[f126]) ).

fof(f126,plain,
    ( $false
    | ~ spl0_15 ),
    inference(subsumption_resolution,[],[f100,f32]) ).

fof(f100,plain,
    ( answer(a_and_b_liar)
    | ~ spl0_15 ),
    inference(avatar_component_clause,[],[f98]) ).

fof(f98,plain,
    ( spl0_15
  <=> answer(a_and_b_liar) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_15])]) ).

fof(f125,plain,
    ~ spl0_7,
    inference(avatar_contradiction_clause,[],[f124]) ).

fof(f124,plain,
    ( $false
    | ~ spl0_7 ),
    inference(subsumption_resolution,[],[f62,f32]) ).

fof(f62,plain,
    ( answer(a_truthteller_b_liar)
    | ~ spl0_7 ),
    inference(avatar_component_clause,[],[f60]) ).

fof(f60,plain,
    ( spl0_7
  <=> answer(a_truthteller_b_liar) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).

fof(f123,plain,
    ~ spl0_11,
    inference(avatar_contradiction_clause,[],[f122]) ).

fof(f122,plain,
    ( $false
    | ~ spl0_11 ),
    inference(subsumption_resolution,[],[f81,f32]) ).

fof(f81,plain,
    ( answer(a_normal_b_liar)
    | ~ spl0_11 ),
    inference(avatar_component_clause,[],[f79]) ).

fof(f79,plain,
    ( spl0_11
  <=> answer(a_normal_b_liar) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_11])]) ).

fof(f121,plain,
    ~ spl0_9,
    inference(avatar_contradiction_clause,[],[f120]) ).

fof(f120,plain,
    ( $false
    | ~ spl0_9 ),
    inference(subsumption_resolution,[],[f71,f32]) ).

fof(f71,plain,
    ( answer(a_normal_b_truthteller)
    | ~ spl0_9 ),
    inference(avatar_component_clause,[],[f69]) ).

fof(f69,plain,
    ( spl0_9
  <=> answer(a_normal_b_truthteller) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).

fof(f119,plain,
    ~ spl0_10,
    inference(avatar_contradiction_clause,[],[f118]) ).

fof(f118,plain,
    ( $false
    | ~ spl0_10 ),
    inference(subsumption_resolution,[],[f76,f32]) ).

fof(f76,plain,
    ( answer(a_and_b_normal)
    | ~ spl0_10 ),
    inference(avatar_component_clause,[],[f74]) ).

fof(f74,plain,
    ( spl0_10
  <=> answer(a_and_b_normal) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).

fof(f117,plain,
    ( spl0_2
    | spl0_4
    | spl0_6 ),
    inference(avatar_contradiction_clause,[],[f116]) ).

fof(f116,plain,
    ( $false
    | spl0_2
    | spl0_4
    | spl0_6 ),
    inference(subsumption_resolution,[],[f115,f40]) ).

fof(f40,plain,
    ( ~ a_truth(truthteller(b))
    | spl0_2 ),
    inference(avatar_component_clause,[],[f38]) ).

fof(f38,plain,
    ( spl0_2
  <=> a_truth(truthteller(b)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).

fof(f115,plain,
    ( a_truth(truthteller(b))
    | spl0_4
    | spl0_6 ),
    inference(subsumption_resolution,[],[f112,f58]) ).

fof(f58,plain,
    ( ~ a_truth(liar(b))
    | spl0_6 ),
    inference(avatar_component_clause,[],[f56]) ).

fof(f56,plain,
    ( spl0_6
  <=> a_truth(liar(b)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).

fof(f112,plain,
    ( a_truth(liar(b))
    | a_truth(truthteller(b))
    | spl0_4 ),
    inference(resolution,[],[f49,f1]) ).

fof(f1,axiom,
    ! [X0] :
      ( a_truth(normal(X0))
      | a_truth(liar(X0))
      | a_truth(truthteller(X0)) ),
    file('/export/starexec/sandbox/tmp/tmp.sGI71zGtbO/Vampire---4.8_8404',person_is_one_type) ).

fof(f49,plain,
    ( ~ a_truth(normal(b))
    | spl0_4 ),
    inference(avatar_component_clause,[],[f47]) ).

fof(f47,plain,
    ( spl0_4
  <=> a_truth(normal(b)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).

fof(f109,plain,
    ( spl0_1
    | spl0_8
    | spl0_12 ),
    inference(avatar_contradiction_clause,[],[f108]) ).

fof(f108,plain,
    ( $false
    | spl0_1
    | spl0_8
    | spl0_12 ),
    inference(subsumption_resolution,[],[f107,f36]) ).

fof(f36,plain,
    ( ~ a_truth(truthteller(a))
    | spl0_1 ),
    inference(avatar_component_clause,[],[f34]) ).

fof(f34,plain,
    ( spl0_1
  <=> a_truth(truthteller(a)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).

fof(f107,plain,
    ( a_truth(truthteller(a))
    | spl0_8
    | spl0_12 ),
    inference(subsumption_resolution,[],[f104,f86]) ).

fof(f86,plain,
    ( ~ a_truth(liar(a))
    | spl0_12 ),
    inference(avatar_component_clause,[],[f84]) ).

fof(f84,plain,
    ( spl0_12
  <=> a_truth(liar(a)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_12])]) ).

fof(f104,plain,
    ( a_truth(liar(a))
    | a_truth(truthteller(a))
    | spl0_8 ),
    inference(resolution,[],[f67,f1]) ).

fof(f67,plain,
    ( ~ a_truth(normal(a))
    | spl0_8 ),
    inference(avatar_component_clause,[],[f65]) ).

fof(f65,plain,
    ( spl0_8
  <=> a_truth(normal(a)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).

fof(f101,plain,
    ( ~ spl0_12
    | ~ spl0_6
    | spl0_15 ),
    inference(avatar_split_clause,[],[f31,f98,f56,f84]) ).

fof(f31,axiom,
    ( answer(a_and_b_liar)
    | ~ a_truth(liar(b))
    | ~ a_truth(liar(a)) ),
    file('/export/starexec/sandbox/tmp/tmp.sGI71zGtbO/Vampire---4.8_8404',a_and_b_liar) ).

fof(f96,plain,
    ( ~ spl0_12
    | ~ spl0_4
    | spl0_14 ),
    inference(avatar_split_clause,[],[f30,f93,f47,f84]) ).

fof(f30,axiom,
    ( answer(a_liar_b_normal)
    | ~ a_truth(normal(b))
    | ~ a_truth(liar(a)) ),
    file('/export/starexec/sandbox/tmp/tmp.sGI71zGtbO/Vampire---4.8_8404',a_liar_b_normal) ).

fof(f91,plain,
    ( ~ spl0_12
    | ~ spl0_2
    | spl0_13 ),
    inference(avatar_split_clause,[],[f29,f88,f38,f84]) ).

fof(f29,axiom,
    ( answer(a_liar_b_truthteller)
    | ~ a_truth(truthteller(b))
    | ~ a_truth(liar(a)) ),
    file('/export/starexec/sandbox/tmp/tmp.sGI71zGtbO/Vampire---4.8_8404',a_liar_b_truthteller) ).

fof(f82,plain,
    ( ~ spl0_8
    | ~ spl0_6
    | spl0_11 ),
    inference(avatar_split_clause,[],[f28,f79,f56,f65]) ).

fof(f28,axiom,
    ( answer(a_normal_b_liar)
    | ~ a_truth(liar(b))
    | ~ a_truth(normal(a)) ),
    file('/export/starexec/sandbox/tmp/tmp.sGI71zGtbO/Vampire---4.8_8404',a_normal_b_liar) ).

fof(f77,plain,
    ( ~ spl0_8
    | ~ spl0_4
    | spl0_10 ),
    inference(avatar_split_clause,[],[f27,f74,f47,f65]) ).

fof(f27,axiom,
    ( answer(a_and_b_normal)
    | ~ a_truth(normal(b))
    | ~ a_truth(normal(a)) ),
    file('/export/starexec/sandbox/tmp/tmp.sGI71zGtbO/Vampire---4.8_8404',a_and_b_normal) ).

fof(f72,plain,
    ( ~ spl0_8
    | ~ spl0_2
    | spl0_9 ),
    inference(avatar_split_clause,[],[f26,f69,f38,f65]) ).

fof(f26,axiom,
    ( answer(a_normal_b_truthteller)
    | ~ a_truth(truthteller(b))
    | ~ a_truth(normal(a)) ),
    file('/export/starexec/sandbox/tmp/tmp.sGI71zGtbO/Vampire---4.8_8404',a_normal_b_truthteller) ).

fof(f63,plain,
    ( ~ spl0_1
    | ~ spl0_6
    | spl0_7 ),
    inference(avatar_split_clause,[],[f25,f60,f56,f34]) ).

fof(f25,axiom,
    ( answer(a_truthteller_b_liar)
    | ~ a_truth(liar(b))
    | ~ a_truth(truthteller(a)) ),
    file('/export/starexec/sandbox/tmp/tmp.sGI71zGtbO/Vampire---4.8_8404',a_truthteller_b_liar) ).

fof(f54,plain,
    ( ~ spl0_1
    | ~ spl0_4
    | spl0_5 ),
    inference(avatar_split_clause,[],[f24,f51,f47,f34]) ).

fof(f24,axiom,
    ( answer(a_truthteller_b_normal)
    | ~ a_truth(normal(b))
    | ~ a_truth(truthteller(a)) ),
    file('/export/starexec/sandbox/tmp/tmp.sGI71zGtbO/Vampire---4.8_8404',a_truthteller_b_normal) ).

fof(f45,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | spl0_3 ),
    inference(avatar_split_clause,[],[f23,f42,f38,f34]) ).

fof(f23,axiom,
    ( answer(a_and_b_truthteller)
    | ~ a_truth(truthteller(b))
    | ~ a_truth(truthteller(a)) ),
    file('/export/starexec/sandbox/tmp/tmp.sGI71zGtbO/Vampire---4.8_8404',a_and_b_truthteller) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem    : PUZ027-1 : 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 : n011.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   : Fri May  3 18:00:53 EDT 2024
% 0.15/0.36  % CPUTime    : 
% 0.15/0.36  This is a CNF_UNS_RFO_NEQ_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.sGI71zGtbO/Vampire---4.8_8404
% 0.57/0.75  % (8673)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)
% 0.57/0.75  % (8667)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)
% 0.57/0.75  % (8668)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)
% 0.57/0.75  % (8669)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.57/0.75  % (8670)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)
% 0.57/0.75  % (8671)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)
% 0.57/0.75  % (8672)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  % (8673)First to succeed.
% 0.57/0.76  % (8673)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-8663"
% 0.57/0.76  % (8673)Refutation found. Thanks to Tanya!
% 0.57/0.76  % SZS status Unsatisfiable for Vampire---4
% 0.57/0.76  % SZS output start Proof for Vampire---4
% See solution above
% 0.57/0.76  % (8673)------------------------------
% 0.57/0.76  % (8673)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.57/0.76  % (8673)Termination reason: Refutation
% 0.57/0.76  
% 0.57/0.76  % (8673)Memory used [KB]: 1018
% 0.57/0.76  % (8673)Time elapsed: 0.003 s
% 0.57/0.76  % (8673)Instructions burned: 5 (million)
% 0.57/0.76  % (8663)Success in time 0.387 s
% 0.57/0.76  % Vampire---4.8 exiting
%------------------------------------------------------------------------------