TSTP Solution File: PUZ007-1 by Vampire---4.8

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%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : PUZ007-1 : TPTP v8.2.0. 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 : n027.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 : Tue May 21 02:27:39 EDT 2024

% Result   : Unsatisfiable 0.61s 0.82s
% Output   : Refutation 0.61s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :   29
% Syntax   : Number of formulae    :   79 (   4 unt;   0 def)
%            Number of atoms       :  171 (   1 equ)
%            Maximal formula atoms :    3 (   2 avg)
%            Number of connectives :  170 (  78   ~;  80   |;   0   &)
%                                         (  12 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   3 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :   22 (  20 usr;  13 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   4 con; 0-1 aty)
%            Number of variables   :    9 (   9   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f157,plain,
    $false,
    inference(avatar_sat_refutation,[],[f37,f38,f43,f49,f67,f72,f81,f85,f96,f111,f116,f122,f126,f136,f149,f151,f152]) ).

fof(f152,plain,
    ( spl0_1
    | spl0_10 ),
    inference(avatar_split_clause,[],[f137,f74,f30]) ).

fof(f30,plain,
    ( spl0_1
  <=> from_mars(a) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).

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

fof(f137,plain,
    ( from_mars(a)
    | spl0_10 ),
    inference(resolution,[],[f75,f1]) ).

fof(f1,axiom,
    ! [X0] :
      ( from_venus(X0)
      | from_mars(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',from_mars_or_venus) ).

fof(f75,plain,
    ( ~ from_venus(a)
    | spl0_10 ),
    inference(avatar_component_clause,[],[f74]) ).

fof(f151,plain,
    ( ~ spl0_8
    | ~ spl0_11
    | spl0_15 ),
    inference(avatar_split_clause,[],[f150,f133,f78,f64]) ).

fof(f64,plain,
    ( spl0_8
  <=> female(b) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).

fof(f78,plain,
    ( spl0_11
  <=> from_venus(b) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_11])]) ).

fof(f133,plain,
    ( spl0_15
  <=> truthteller(b) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_15])]) ).

fof(f150,plain,
    ( ~ female(b)
    | ~ spl0_11
    | spl0_15 ),
    inference(subsumption_resolution,[],[f143,f80]) ).

fof(f80,plain,
    ( from_venus(b)
    | ~ spl0_11 ),
    inference(avatar_component_clause,[],[f78]) ).

fof(f143,plain,
    ( ~ female(b)
    | ~ from_venus(b)
    | spl0_15 ),
    inference(resolution,[],[f135,f11]) ).

fof(f11,axiom,
    ! [X0] :
      ( truthteller(X0)
      | ~ female(X0)
      | ~ from_venus(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',venusian_female_are_truthtellers) ).

fof(f135,plain,
    ( ~ truthteller(b)
    | spl0_15 ),
    inference(avatar_component_clause,[],[f133]) ).

fof(f149,plain,
    ( ~ spl0_5
    | ~ spl0_1
    | spl0_12 ),
    inference(avatar_split_clause,[],[f148,f113,f30,f51]) ).

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

fof(f113,plain,
    ( spl0_12
  <=> liar(a) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_12])]) ).

fof(f148,plain,
    ( ~ female(a)
    | ~ spl0_1
    | spl0_12 ),
    inference(subsumption_resolution,[],[f141,f31]) ).

fof(f31,plain,
    ( from_mars(a)
    | ~ spl0_1 ),
    inference(avatar_component_clause,[],[f30]) ).

fof(f141,plain,
    ( ~ female(a)
    | ~ from_mars(a)
    | spl0_12 ),
    inference(resolution,[],[f115,f14]) ).

fof(f14,axiom,
    ! [X0] :
      ( liar(X0)
      | ~ female(X0)
      | ~ from_mars(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',marsian_females_are_liars) ).

fof(f115,plain,
    ( ~ liar(a)
    | spl0_12 ),
    inference(avatar_component_clause,[],[f113]) ).

fof(f136,plain,
    ( ~ spl0_15
    | spl0_4 ),
    inference(avatar_split_clause,[],[f102,f46,f133]) ).

fof(f46,plain,
    ( spl0_4
  <=> a_truth(a_has_lied) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).

fof(f102,plain,
    ( a_truth(a_has_lied)
    | ~ truthteller(b) ),
    inference(resolution,[],[f18,f15]) ).

fof(f15,axiom,
    ! [X0,X1] :
      ( ~ says(X0,X1)
      | a_truth(X1)
      | ~ truthteller(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',truthtellers_make_true_statements) ).

fof(f18,axiom,
    says(b,a_has_lied),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',b_says_a_lies) ).

fof(f126,plain,
    ( ~ spl0_4
    | spl0_3 ),
    inference(avatar_split_clause,[],[f123,f40,f46]) ).

fof(f40,plain,
    ( spl0_3
  <=> a_truth(statement_by(b)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).

fof(f123,plain,
    ( ~ a_truth(a_has_lied)
    | spl0_3 ),
    inference(forward_demodulation,[],[f42,f23]) ).

fof(f23,axiom,
    a_has_lied = statement_by(b),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',b_states) ).

fof(f42,plain,
    ( ~ a_truth(statement_by(b))
    | spl0_3 ),
    inference(avatar_component_clause,[],[f40]) ).

fof(f122,plain,
    ( ~ spl0_9
    | ~ spl0_4
    | ~ spl0_8 ),
    inference(avatar_split_clause,[],[f108,f64,f46,f69]) ).

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

fof(f108,plain,
    ( ~ from_mars(b)
    | ~ spl0_4
    | ~ spl0_8 ),
    inference(subsumption_resolution,[],[f107,f66]) ).

fof(f66,plain,
    ( female(b)
    | ~ spl0_8 ),
    inference(avatar_component_clause,[],[f64]) ).

fof(f107,plain,
    ( ~ female(b)
    | ~ from_mars(b)
    | ~ spl0_4 ),
    inference(resolution,[],[f104,f14]) ).

fof(f104,plain,
    ( ~ liar(b)
    | ~ spl0_4 ),
    inference(subsumption_resolution,[],[f103,f48]) ).

fof(f48,plain,
    ( a_truth(a_has_lied)
    | ~ spl0_4 ),
    inference(avatar_component_clause,[],[f46]) ).

fof(f103,plain,
    ( ~ a_truth(a_has_lied)
    | ~ liar(b) ),
    inference(resolution,[],[f18,f16]) ).

fof(f16,axiom,
    ! [X0,X1] :
      ( ~ says(X0,X1)
      | ~ a_truth(X1)
      | ~ liar(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',liars_make_false_statements) ).

fof(f116,plain,
    ( ~ spl0_12
    | ~ spl0_2 ),
    inference(avatar_split_clause,[],[f88,f34,f113]) ).

fof(f34,plain,
    ( spl0_2
  <=> a_truth(a_from_mars) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).

fof(f88,plain,
    ( ~ a_truth(a_from_mars)
    | ~ liar(a) ),
    inference(resolution,[],[f17,f16]) ).

fof(f17,axiom,
    says(a,a_from_mars),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',a_says_hes_from_mars) ).

fof(f111,plain,
    ( ~ spl0_1
    | ~ spl0_10 ),
    inference(avatar_split_clause,[],[f82,f74,f30]) ).

fof(f82,plain,
    ( ~ from_mars(a)
    | ~ spl0_10 ),
    inference(resolution,[],[f76,f2]) ).

fof(f2,axiom,
    ! [X0] :
      ( ~ from_venus(X0)
      | ~ from_mars(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_from_mars_and_venus) ).

fof(f76,plain,
    ( from_venus(a)
    | ~ spl0_10 ),
    inference(avatar_component_clause,[],[f74]) ).

fof(f96,plain,
    ( ~ spl0_5
    | spl0_2
    | ~ spl0_10 ),
    inference(avatar_split_clause,[],[f95,f74,f34,f51]) ).

fof(f95,plain,
    ( ~ female(a)
    | spl0_2
    | ~ spl0_10 ),
    inference(subsumption_resolution,[],[f90,f76]) ).

fof(f90,plain,
    ( ~ female(a)
    | ~ from_venus(a)
    | spl0_2 ),
    inference(resolution,[],[f89,f11]) ).

fof(f89,plain,
    ( ~ truthteller(a)
    | spl0_2 ),
    inference(subsumption_resolution,[],[f87,f35]) ).

fof(f35,plain,
    ( ~ a_truth(a_from_mars)
    | spl0_2 ),
    inference(avatar_component_clause,[],[f34]) ).

fof(f87,plain,
    ( a_truth(a_from_mars)
    | ~ truthteller(a) ),
    inference(resolution,[],[f17,f15]) ).

fof(f85,plain,
    ( spl0_5
    | spl0_7 ),
    inference(avatar_contradiction_clause,[],[f84]) ).

fof(f84,plain,
    ( $false
    | spl0_5
    | spl0_7 ),
    inference(subsumption_resolution,[],[f83,f62]) ).

fof(f62,plain,
    ( ~ male(a)
    | spl0_7 ),
    inference(avatar_component_clause,[],[f60]) ).

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

fof(f83,plain,
    ( male(a)
    | spl0_5 ),
    inference(resolution,[],[f53,f3]) ).

fof(f3,axiom,
    ! [X0] :
      ( female(X0)
      | male(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',male_or_female) ).

fof(f53,plain,
    ( ~ female(a)
    | spl0_5 ),
    inference(avatar_component_clause,[],[f51]) ).

fof(f81,plain,
    ( spl0_10
    | spl0_11 ),
    inference(avatar_split_clause,[],[f28,f78,f74]) ).

fof(f28,axiom,
    ( from_venus(b)
    | from_venus(a) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',one_from_venus) ).

fof(f72,plain,
    ( spl0_9
    | spl0_1 ),
    inference(avatar_split_clause,[],[f27,f30,f69]) ).

fof(f27,axiom,
    ( from_mars(a)
    | from_mars(b) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',one_from_mars) ).

fof(f67,plain,
    ( ~ spl0_7
    | spl0_8 ),
    inference(avatar_split_clause,[],[f26,f64,f60]) ).

fof(f26,axiom,
    ( female(b)
    | ~ male(a) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',different_sex2) ).

fof(f49,plain,
    ( spl0_2
    | spl0_4 ),
    inference(avatar_split_clause,[],[f44,f46,f34]) ).

fof(f44,plain,
    ( a_truth(a_has_lied)
    | a_truth(a_from_mars) ),
    inference(forward_demodulation,[],[f24,f23]) ).

fof(f24,axiom,
    ( a_truth(statement_by(b))
    | a_truth(a_from_mars) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',truth_of_bs_statement) ).

fof(f43,plain,
    ( ~ spl0_2
    | ~ spl0_3 ),
    inference(avatar_split_clause,[],[f21,f40,f34]) ).

fof(f21,axiom,
    ( ~ a_truth(statement_by(b))
    | ~ a_truth(a_from_mars) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',a_from_mars3) ).

fof(f38,plain,
    ( spl0_1
    | ~ spl0_2 ),
    inference(avatar_split_clause,[],[f20,f34,f30]) ).

fof(f20,axiom,
    ( ~ a_truth(a_from_mars)
    | from_mars(a) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',a_from_mars2) ).

fof(f37,plain,
    ( ~ spl0_1
    | spl0_2 ),
    inference(avatar_split_clause,[],[f19,f34,f30]) ).

fof(f19,axiom,
    ( a_truth(a_from_mars)
    | ~ from_mars(a) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',a_from_mars1) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13  % Problem    : PUZ007-1 : TPTP v8.2.0. Released v1.0.0.
% 0.12/0.15  % 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
% 0.14/0.36  % Computer : n027.cluster.edu
% 0.14/0.36  % Model    : x86_64 x86_64
% 0.14/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36  % Memory   : 8042.1875MB
% 0.14/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36  % CPULimit   : 300
% 0.14/0.36  % WCLimit    : 300
% 0.14/0.36  % DateTime   : Sat May 18 10:29:37 EDT 2024
% 0.14/0.37  % CPUTime    : 
% 0.14/0.37  This is a CNF_UNS_RFO_SEQ_NHN problem
% 0.14/0.37  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/benchmark/theBenchmark.p
% 0.61/0.81  % (18350)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on theBenchmark for (2995ds/45Mi)
% 0.61/0.81  % (18345)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 theBenchmark for (2995ds/34Mi)
% 0.61/0.81  % (18346)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 theBenchmark for (2995ds/51Mi)
% 0.61/0.81  % (18347)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on theBenchmark for (2995ds/78Mi)
% 0.61/0.81  % (18350)First to succeed.
% 0.61/0.82  % (18350)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-18344"
% 0.61/0.82  % (18350)Refutation found. Thanks to Tanya!
% 0.61/0.82  % SZS status Unsatisfiable for theBenchmark
% 0.61/0.82  % SZS output start Proof for theBenchmark
% See solution above
% 0.61/0.82  % (18350)------------------------------
% 0.61/0.82  % (18350)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.61/0.82  % (18350)Termination reason: Refutation
% 0.61/0.82  
% 0.61/0.82  % (18350)Memory used [KB]: 1026
% 0.61/0.82  % (18350)Time elapsed: 0.004 s
% 0.61/0.82  % (18350)Instructions burned: 5 (million)
% 0.61/0.82  % (18344)Success in time 0.444 s
% 0.61/0.82  % Vampire---4.8 exiting
%------------------------------------------------------------------------------