TSTP Solution File: PUZ026-1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : PUZ026-1 : 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 : 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 0.55s 0.76s
% Output   : Refutation 0.55s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :   25
% Syntax   : Number of formulae    :   80 (   6 unt;   0 def)
%            Number of atoms       :  186 (   0 equ)
%            Maximal formula atoms :    4 (   2 avg)
%            Number of connectives :  197 (  91   ~;  95   |;   0   &)
%                                         (  11 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   3 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :   14 (  13 usr;  12 prp; 0-3 aty)
%            Number of functors    :    7 (   7 usr;   3 con; 0-2 aty)
%            Number of variables   :   29 (  29   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f185,plain,
    $false,
    inference(avatar_sat_refutation,[],[f33,f82,f83,f102,f120,f121,f122,f123,f125,f152,f158,f159,f168,f170,f172,f173,f180,f184]) ).

fof(f184,plain,
    ( ~ spl0_3
    | ~ spl0_7 ),
    inference(avatar_contradiction_clause,[],[f182]) ).

fof(f182,plain,
    ( $false
    | ~ spl0_3
    | ~ spl0_7 ),
    inference(resolution,[],[f56,f32]) ).

fof(f32,plain,
    ( ! [X5] : ~ a_truth(truthteller(X5))
    | ~ spl0_3 ),
    inference(avatar_component_clause,[],[f31]) ).

fof(f31,plain,
    ( spl0_3
  <=> ! [X5] : ~ a_truth(truthteller(X5)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).

fof(f56,plain,
    ( a_truth(truthteller(b))
    | ~ spl0_7 ),
    inference(avatar_component_clause,[],[f55]) ).

fof(f55,plain,
    ( spl0_7
  <=> a_truth(truthteller(b)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).

fof(f180,plain,
    ( ~ spl0_1
    | ~ spl0_6 ),
    inference(avatar_contradiction_clause,[],[f177]) ).

fof(f177,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_6 ),
    inference(resolution,[],[f51,f26]) ).

fof(f26,plain,
    ( ! [X3] : ~ a_truth(liar(X3))
    | ~ spl0_1 ),
    inference(avatar_component_clause,[],[f25]) ).

fof(f25,plain,
    ( spl0_1
  <=> ! [X3] : ~ a_truth(liar(X3)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).

fof(f51,plain,
    ( a_truth(liar(c))
    | ~ spl0_6 ),
    inference(avatar_component_clause,[],[f50]) ).

fof(f50,plain,
    ( spl0_6
  <=> a_truth(liar(c)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).

fof(f173,plain,
    ( ~ spl0_10
    | spl0_12
    | spl0_7 ),
    inference(avatar_split_clause,[],[f128,f55,f115,f106]) ).

fof(f106,plain,
    ( spl0_10
  <=> a_truth(normal(a)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).

fof(f115,plain,
    ( spl0_12
  <=> a_truth(normal(b)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_12])]) ).

fof(f128,plain,
    ( a_truth(truthteller(b))
    | a_truth(normal(b))
    | ~ a_truth(normal(a)) ),
    inference(resolution,[],[f21,f7]) ).

fof(f7,axiom,
    ! [X0,X1] :
      ( ~ a_truth(says(X1,X0))
      | a_truth(truthteller(X1))
      | a_truth(normal(X1))
      | ~ a_truth(X0) ),
    file('/export/starexec/sandbox/tmp/tmp.FfR7CtbHnx/Vampire---4.8_26433',truthtellers_and_normal_tell_truth) ).

fof(f21,axiom,
    a_truth(says(b,normal(a))),
    file('/export/starexec/sandbox/tmp/tmp.FfR7CtbHnx/Vampire---4.8_26433',b_says_a_normal) ).

fof(f172,plain,
    ( ~ spl0_6
    | ~ spl0_4 ),
    inference(avatar_split_clause,[],[f72,f41,f50]) ).

fof(f41,plain,
    ( spl0_4
  <=> a_truth(liar(b)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).

fof(f72,plain,
    ( ~ a_truth(liar(b))
    | ~ a_truth(liar(c)) ),
    inference(resolution,[],[f18,f13]) ).

fof(f13,axiom,
    ! [X2,X0,X1] :
      ( ~ people(X0,X1,X2)
      | ~ a_truth(liar(X0))
      | ~ a_truth(liar(X1)) ),
    file('/export/starexec/sandbox/tmp/tmp.FfR7CtbHnx/Vampire---4.8_26433',not_two_liars1) ).

fof(f18,axiom,
    people(b,c,a),
    file('/export/starexec/sandbox/tmp/tmp.FfR7CtbHnx/Vampire---4.8_26433',b_c_a_are_people) ).

fof(f170,plain,
    ( ~ spl0_5
    | ~ spl0_6 ),
    inference(avatar_split_clause,[],[f85,f50,f45]) ).

fof(f45,plain,
    ( spl0_5
  <=> a_truth(liar(a)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).

fof(f85,plain,
    ( ~ a_truth(liar(c))
    | ~ a_truth(liar(a)) ),
    inference(resolution,[],[f19,f14]) ).

fof(f14,axiom,
    ! [X2,X0,X1] :
      ( ~ people(X0,X1,X2)
      | ~ a_truth(liar(X0))
      | ~ a_truth(liar(X2)) ),
    file('/export/starexec/sandbox/tmp/tmp.FfR7CtbHnx/Vampire---4.8_26433',not_two_liars2) ).

fof(f19,axiom,
    people(c,b,a),
    file('/export/starexec/sandbox/tmp/tmp.FfR7CtbHnx/Vampire---4.8_26433',c_b_a_are_people) ).

fof(f168,plain,
    ( spl0_10
    | spl0_12
    | spl0_4 ),
    inference(avatar_split_clause,[],[f129,f41,f115,f106]) ).

fof(f129,plain,
    ( a_truth(liar(b))
    | a_truth(normal(b))
    | a_truth(normal(a)) ),
    inference(resolution,[],[f21,f8]) ).

fof(f8,axiom,
    ! [X0,X1] :
      ( ~ a_truth(says(X1,X0))
      | a_truth(liar(X1))
      | a_truth(normal(X1))
      | a_truth(X0) ),
    file('/export/starexec/sandbox/tmp/tmp.FfR7CtbHnx/Vampire---4.8_26433',liars_and_normal_lie) ).

fof(f159,plain,
    ( ~ spl0_7
    | ~ spl0_9 ),
    inference(avatar_split_clause,[],[f86,f64,f55]) ).

fof(f64,plain,
    ( spl0_9
  <=> a_truth(truthteller(c)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).

fof(f86,plain,
    ( ~ a_truth(truthteller(c))
    | ~ a_truth(truthteller(b)) ),
    inference(resolution,[],[f19,f11]) ).

fof(f11,axiom,
    ! [X2,X0,X1] :
      ( ~ people(X0,X1,X2)
      | ~ a_truth(truthteller(X0))
      | ~ a_truth(truthteller(X1)) ),
    file('/export/starexec/sandbox/tmp/tmp.FfR7CtbHnx/Vampire---4.8_26433',not_two_truthtellers1) ).

fof(f158,plain,
    ( ~ spl0_3
    | ~ spl0_9 ),
    inference(avatar_contradiction_clause,[],[f157]) ).

fof(f157,plain,
    ( $false
    | ~ spl0_3
    | ~ spl0_9 ),
    inference(subsumption_resolution,[],[f65,f32]) ).

fof(f65,plain,
    ( a_truth(truthteller(c))
    | ~ spl0_9 ),
    inference(avatar_component_clause,[],[f64]) ).

fof(f152,plain,
    ( spl0_6
    | spl0_9
    | spl0_11 ),
    inference(avatar_contradiction_clause,[],[f151]) ).

fof(f151,plain,
    ( $false
    | spl0_6
    | spl0_9
    | spl0_11 ),
    inference(subsumption_resolution,[],[f150,f66]) ).

fof(f66,plain,
    ( ~ a_truth(truthteller(c))
    | spl0_9 ),
    inference(avatar_component_clause,[],[f64]) ).

fof(f150,plain,
    ( a_truth(truthteller(c))
    | spl0_6
    | spl0_11 ),
    inference(subsumption_resolution,[],[f149,f112]) ).

fof(f112,plain,
    ( ~ a_truth(normal(c))
    | spl0_11 ),
    inference(avatar_component_clause,[],[f110]) ).

fof(f110,plain,
    ( spl0_11
  <=> a_truth(normal(c)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_11])]) ).

fof(f149,plain,
    ( a_truth(normal(c))
    | a_truth(truthteller(c))
    | spl0_6 ),
    inference(resolution,[],[f52,f1]) ).

fof(f1,axiom,
    ! [X0] :
      ( a_truth(liar(X0))
      | a_truth(normal(X0))
      | a_truth(truthteller(X0)) ),
    file('/export/starexec/sandbox/tmp/tmp.FfR7CtbHnx/Vampire---4.8_26433',person_is_one_type) ).

fof(f52,plain,
    ( ~ a_truth(liar(c))
    | spl0_6 ),
    inference(avatar_component_clause,[],[f50]) ).

fof(f125,plain,
    ( ~ spl0_1
    | ~ spl0_5 ),
    inference(avatar_contradiction_clause,[],[f124]) ).

fof(f124,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_5 ),
    inference(subsumption_resolution,[],[f46,f26]) ).

fof(f46,plain,
    ( a_truth(liar(a))
    | ~ spl0_5 ),
    inference(avatar_component_clause,[],[f45]) ).

fof(f123,plain,
    ( spl0_10
    | spl0_5 ),
    inference(avatar_split_clause,[],[f96,f45,f106]) ).

fof(f96,plain,
    ( a_truth(liar(a))
    | a_truth(normal(a)) ),
    inference(duplicate_literal_removal,[],[f95]) ).

fof(f95,plain,
    ( a_truth(liar(a))
    | a_truth(normal(a))
    | a_truth(normal(a)) ),
    inference(resolution,[],[f20,f8]) ).

fof(f20,axiom,
    a_truth(says(a,normal(a))),
    file('/export/starexec/sandbox/tmp/tmp.FfR7CtbHnx/Vampire---4.8_26433',a_says_a_normal) ).

fof(f122,plain,
    ( ~ spl0_12
    | ~ spl0_10 ),
    inference(avatar_split_clause,[],[f38,f106,f115]) ).

fof(f38,plain,
    ( ~ a_truth(normal(a))
    | ~ a_truth(normal(b)) ),
    inference(resolution,[],[f17,f15]) ).

fof(f15,axiom,
    ! [X2,X0,X1] :
      ( ~ people(X0,X1,X2)
      | ~ a_truth(normal(X0))
      | ~ a_truth(normal(X1)) ),
    file('/export/starexec/sandbox/tmp/tmp.FfR7CtbHnx/Vampire---4.8_26433',not_two_normal1) ).

fof(f17,axiom,
    people(a,b,c),
    file('/export/starexec/sandbox/tmp/tmp.FfR7CtbHnx/Vampire---4.8_26433',a_b_c_are_people) ).

fof(f121,plain,
    ( ~ spl0_11
    | ~ spl0_10 ),
    inference(avatar_split_clause,[],[f39,f106,f110]) ).

fof(f39,plain,
    ( ~ a_truth(normal(a))
    | ~ a_truth(normal(c)) ),
    inference(resolution,[],[f17,f16]) ).

fof(f16,axiom,
    ! [X2,X0,X1] :
      ( ~ people(X0,X1,X2)
      | ~ a_truth(normal(X0))
      | ~ a_truth(normal(X2)) ),
    file('/export/starexec/sandbox/tmp/tmp.FfR7CtbHnx/Vampire---4.8_26433',not_two_normal2) ).

fof(f120,plain,
    ( ~ spl0_11
    | ~ spl0_12 ),
    inference(avatar_split_clause,[],[f76,f115,f110]) ).

fof(f76,plain,
    ( ~ a_truth(normal(b))
    | ~ a_truth(normal(c)) ),
    inference(resolution,[],[f18,f15]) ).

fof(f102,plain,
    ( ~ spl0_2
    | spl0_5 ),
    inference(avatar_contradiction_clause,[],[f101]) ).

fof(f101,plain,
    ( $false
    | ~ spl0_2
    | spl0_5 ),
    inference(subsumption_resolution,[],[f100,f29]) ).

fof(f29,plain,
    ( ! [X4] : ~ a_truth(normal(X4))
    | ~ spl0_2 ),
    inference(avatar_component_clause,[],[f28]) ).

fof(f28,plain,
    ( spl0_2
  <=> ! [X4] : ~ a_truth(normal(X4)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).

fof(f100,plain,
    ( a_truth(normal(a))
    | spl0_5 ),
    inference(subsumption_resolution,[],[f96,f47]) ).

fof(f47,plain,
    ( ~ a_truth(liar(a))
    | spl0_5 ),
    inference(avatar_component_clause,[],[f45]) ).

fof(f83,plain,
    ( ~ spl0_5
    | ~ spl0_4 ),
    inference(avatar_split_clause,[],[f73,f41,f45]) ).

fof(f73,plain,
    ( ~ a_truth(liar(b))
    | ~ a_truth(liar(a)) ),
    inference(resolution,[],[f18,f14]) ).

fof(f82,plain,
    ( ~ spl0_2
    | spl0_4
    | spl0_7 ),
    inference(avatar_contradiction_clause,[],[f81]) ).

fof(f81,plain,
    ( $false
    | ~ spl0_2
    | spl0_4
    | spl0_7 ),
    inference(subsumption_resolution,[],[f80,f57]) ).

fof(f57,plain,
    ( ~ a_truth(truthteller(b))
    | spl0_7 ),
    inference(avatar_component_clause,[],[f55]) ).

fof(f80,plain,
    ( a_truth(truthteller(b))
    | ~ spl0_2
    | spl0_4 ),
    inference(subsumption_resolution,[],[f79,f29]) ).

fof(f79,plain,
    ( a_truth(normal(b))
    | a_truth(truthteller(b))
    | spl0_4 ),
    inference(resolution,[],[f43,f1]) ).

fof(f43,plain,
    ( ~ a_truth(liar(b))
    | spl0_4 ),
    inference(avatar_component_clause,[],[f41]) ).

fof(f33,plain,
    ( spl0_1
    | spl0_2
    | spl0_3 ),
    inference(avatar_split_clause,[],[f23,f31,f28,f25]) ).

fof(f23,axiom,
    ! [X3,X4,X5] :
      ( ~ a_truth(truthteller(X5))
      | ~ a_truth(normal(X4))
      | ~ a_truth(liar(X3)) ),
    file('/export/starexec/sandbox/tmp/tmp.FfR7CtbHnx/Vampire---4.8_26433',prove_one_of_each) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem    : PUZ026-1 : 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
% 0.16/0.37  % Computer : n008.cluster.edu
% 0.16/0.37  % Model    : x86_64 x86_64
% 0.16/0.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.37  % Memory   : 8042.1875MB
% 0.16/0.37  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.16/0.37  % CPULimit   : 300
% 0.16/0.37  % WCLimit    : 300
% 0.16/0.37  % DateTime   : Fri May  3 18:00:08 EDT 2024
% 0.16/0.37  % CPUTime    : 
% 0.16/0.37  This is a CNF_UNS_RFO_NEQ_NHN problem
% 0.16/0.37  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.FfR7CtbHnx/Vampire---4.8_26433
% 0.55/0.76  % (26877)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)
% 0.55/0.76  % (26870)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)
% 0.55/0.76  % (26871)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)
% 0.55/0.76  % (26872)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.55/0.76  % (26873)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)
% 0.55/0.76  % (26874)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)
% 0.55/0.76  % (26875)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)
% 0.55/0.76  % (26876)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)
% 0.55/0.76  % (26877)First to succeed.
% 0.55/0.76  % (26877)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-26719"
% 0.55/0.76  % (26875)Also succeeded, but the first one will report.
% 0.55/0.76  % (26877)Refutation found. Thanks to Tanya!
% 0.55/0.76  % SZS status Unsatisfiable for Vampire---4
% 0.55/0.76  % SZS output start Proof for Vampire---4
% See solution above
% 0.55/0.76  % (26877)------------------------------
% 0.55/0.76  % (26877)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.55/0.76  % (26877)Termination reason: Refutation
% 0.55/0.76  
% 0.55/0.76  % (26877)Memory used [KB]: 1023
% 0.55/0.76  % (26877)Time elapsed: 0.004 s
% 0.55/0.76  % (26877)Instructions burned: 6 (million)
% 0.55/0.76  % (26719)Success in time 0.381 s
% 0.55/0.76  % Vampire---4.8 exiting
%------------------------------------------------------------------------------