TSTP Solution File: PUZ006-1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : PUZ006-1 : 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 : n007.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 0.56s 0.74s
% Output   : Refutation 0.56s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :   31
% Syntax   : Number of formulae    :   84 (   8 unt;   0 def)
%            Number of atoms       :  182 (   0 equ)
%            Maximal formula atoms :    4 (   2 avg)
%            Number of connectives :  175 (  77   ~;  86   |;   0   &)
%                                         (  12 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   3 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :   21 (  20 usr;  13 prp; 0-2 aty)
%            Number of functors    :    6 (   6 usr;   6 con; 0-0 aty)
%            Number of variables   :   10 (  10   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f190,plain,
    $false,
    inference(avatar_sat_refutation,[],[f38,f47,f66,f67,f68,f69,f77,f100,f102,f107,f112,f117,f131,f138,f153,f162,f178,f189]) ).

fof(f189,plain,
    ( ~ spl0_5
    | ~ spl0_12 ),
    inference(avatar_contradiction_clause,[],[f188]) ).

fof(f188,plain,
    ( $false
    | ~ spl0_5
    | ~ spl0_12 ),
    inference(subsumption_resolution,[],[f183,f19]) ).

fof(f19,axiom,
    says(ork,bog_is_male),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ork_says_bog_is_male) ).

fof(f183,plain,
    ( ~ says(ork,bog_is_male)
    | ~ spl0_5
    | ~ spl0_12 ),
    inference(unit_resulting_resolution,[],[f50,f120,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(f120,plain,
    ( liar(ork)
    | ~ spl0_12 ),
    inference(avatar_component_clause,[],[f119]) ).

fof(f119,plain,
    ( spl0_12
  <=> liar(ork) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_12])]) ).

fof(f50,plain,
    ( a_truth(bog_is_male)
    | ~ spl0_5 ),
    inference(avatar_component_clause,[],[f49]) ).

fof(f49,plain,
    ( spl0_5
  <=> a_truth(bog_is_male) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).

fof(f178,plain,
    ( spl0_11
    | spl0_10 ),
    inference(avatar_split_clause,[],[f168,f109,f114]) ).

fof(f114,plain,
    ( spl0_11
  <=> truthteller(bog) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_11])]) ).

fof(f109,plain,
    ( spl0_10
  <=> liar(bog) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).

fof(f168,plain,
    ( truthteller(bog)
    | spl0_10 ),
    inference(unit_resulting_resolution,[],[f111,f5]) ).

fof(f5,axiom,
    ! [X0] :
      ( liar(X0)
      | truthteller(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',truthteller_or_liar) ).

fof(f111,plain,
    ( ~ liar(bog)
    | spl0_10 ),
    inference(avatar_component_clause,[],[f109]) ).

fof(f162,plain,
    ( spl0_12
    | ~ spl0_4
    | ~ spl0_8 ),
    inference(avatar_split_clause,[],[f158,f62,f44,f119]) ).

fof(f44,plain,
    ( spl0_4
  <=> from_mars(ork) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).

fof(f62,plain,
    ( spl0_8
  <=> female(ork) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).

fof(f158,plain,
    ( liar(ork)
    | ~ spl0_4
    | ~ spl0_8 ),
    inference(unit_resulting_resolution,[],[f64,f46,f14]) ).

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

fof(f46,plain,
    ( from_mars(ork)
    | ~ spl0_4 ),
    inference(avatar_component_clause,[],[f44]) ).

fof(f64,plain,
    ( female(ork)
    | ~ spl0_8 ),
    inference(avatar_component_clause,[],[f62]) ).

fof(f153,plain,
    ( ~ spl0_7
    | ~ spl0_10 ),
    inference(avatar_contradiction_clause,[],[f152]) ).

fof(f152,plain,
    ( $false
    | ~ spl0_7
    | ~ spl0_10 ),
    inference(subsumption_resolution,[],[f149,f20]) ).

fof(f20,axiom,
    says(bog,ork_is_female),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',bog_says_ork_is_female) ).

fof(f149,plain,
    ( ~ says(bog,ork_is_female)
    | ~ spl0_7
    | ~ spl0_10 ),
    inference(unit_resulting_resolution,[],[f59,f110,f16]) ).

fof(f110,plain,
    ( liar(bog)
    | ~ spl0_10 ),
    inference(avatar_component_clause,[],[f109]) ).

fof(f59,plain,
    ( a_truth(ork_is_female)
    | ~ spl0_7 ),
    inference(avatar_component_clause,[],[f58]) ).

fof(f58,plain,
    ( spl0_7
  <=> a_truth(ork_is_female) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).

fof(f138,plain,
    ( spl0_10
    | ~ spl0_2
    | ~ spl0_6 ),
    inference(avatar_split_clause,[],[f134,f53,f35,f109]) ).

fof(f35,plain,
    ( spl0_2
  <=> from_venus(bog) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).

fof(f53,plain,
    ( spl0_6
  <=> male(bog) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).

fof(f134,plain,
    ( liar(bog)
    | ~ spl0_2
    | ~ spl0_6 ),
    inference(unit_resulting_resolution,[],[f55,f37,f12]) ).

fof(f12,axiom,
    ! [X0] :
      ( liar(X0)
      | ~ male(X0)
      | ~ from_venus(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',venusian_males_are_liars) ).

fof(f37,plain,
    ( from_venus(bog)
    | ~ spl0_2 ),
    inference(avatar_component_clause,[],[f35]) ).

fof(f55,plain,
    ( male(bog)
    | ~ spl0_6 ),
    inference(avatar_component_clause,[],[f53]) ).

fof(f131,plain,
    ( spl0_9
    | ~ spl0_4
    | spl0_8 ),
    inference(avatar_split_clause,[],[f127,f62,f44,f104]) ).

fof(f104,plain,
    ( spl0_9
  <=> truthteller(ork) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).

fof(f127,plain,
    ( truthteller(ork)
    | ~ spl0_4
    | spl0_8 ),
    inference(unit_resulting_resolution,[],[f82,f46,f13]) ).

fof(f13,axiom,
    ! [X0] :
      ( truthteller(X0)
      | ~ male(X0)
      | ~ from_mars(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',marsian_males_are_truthtellers) ).

fof(f82,plain,
    ( male(ork)
    | spl0_8 ),
    inference(unit_resulting_resolution,[],[f63,f3]) ).

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

fof(f63,plain,
    ( ~ female(ork)
    | spl0_8 ),
    inference(avatar_component_clause,[],[f62]) ).

fof(f117,plain,
    ( ~ spl0_11
    | spl0_3 ),
    inference(avatar_split_clause,[],[f94,f40,f114]) ).

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

fof(f94,plain,
    ( a_truth(ork_is_from_mars)
    | ~ truthteller(bog) ),
    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(bog,ork_is_from_mars),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',bog_says_ork_is_from_mar) ).

fof(f112,plain,
    ( ~ spl0_10
    | ~ spl0_3 ),
    inference(avatar_split_clause,[],[f95,f40,f109]) ).

fof(f95,plain,
    ( ~ a_truth(ork_is_from_mars)
    | ~ liar(bog) ),
    inference(resolution,[],[f18,f16]) ).

fof(f107,plain,
    ( ~ spl0_9
    | spl0_1 ),
    inference(avatar_split_clause,[],[f91,f31,f104]) ).

fof(f31,plain,
    ( spl0_1
  <=> a_truth(bog_is_from_venus) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).

fof(f91,plain,
    ( a_truth(bog_is_from_venus)
    | ~ truthteller(ork) ),
    inference(resolution,[],[f17,f15]) ).

fof(f17,axiom,
    says(ork,bog_is_from_venus),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ork_says_bog_is_from_venus) ).

fof(f102,plain,
    ( ~ spl0_1
    | spl0_4
    | spl0_8 ),
    inference(avatar_split_clause,[],[f101,f62,f44,f31]) ).

fof(f101,plain,
    ( ~ a_truth(bog_is_from_venus)
    | spl0_4
    | spl0_8 ),
    inference(subsumption_resolution,[],[f92,f89]) ).

fof(f89,plain,
    ( liar(ork)
    | spl0_4
    | spl0_8 ),
    inference(unit_resulting_resolution,[],[f80,f82,f12]) ).

fof(f80,plain,
    ( from_venus(ork)
    | spl0_4 ),
    inference(unit_resulting_resolution,[],[f45,f1]) ).

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

fof(f45,plain,
    ( ~ from_mars(ork)
    | spl0_4 ),
    inference(avatar_component_clause,[],[f44]) ).

fof(f92,plain,
    ( ~ a_truth(bog_is_from_venus)
    | ~ liar(ork) ),
    inference(resolution,[],[f17,f16]) ).

fof(f100,plain,
    ( spl0_2
    | spl0_3
    | ~ spl0_6 ),
    inference(avatar_contradiction_clause,[],[f99]) ).

fof(f99,plain,
    ( $false
    | spl0_2
    | spl0_3
    | ~ spl0_6 ),
    inference(subsumption_resolution,[],[f98,f84]) ).

fof(f84,plain,
    ( truthteller(bog)
    | spl0_2
    | ~ spl0_6 ),
    inference(unit_resulting_resolution,[],[f55,f78,f13]) ).

fof(f78,plain,
    ( from_mars(bog)
    | spl0_2 ),
    inference(unit_resulting_resolution,[],[f36,f1]) ).

fof(f36,plain,
    ( ~ from_venus(bog)
    | spl0_2 ),
    inference(avatar_component_clause,[],[f35]) ).

fof(f98,plain,
    ( ~ truthteller(bog)
    | spl0_3 ),
    inference(subsumption_resolution,[],[f94,f42]) ).

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

fof(f77,plain,
    spl0_6,
    inference(avatar_split_clause,[],[f70,f53]) ).

fof(f70,plain,
    male(bog),
    inference(unit_resulting_resolution,[],[f29,f3]) ).

fof(f29,axiom,
    ~ female(bog),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_bog_is_female) ).

fof(f69,plain,
    ( ~ spl0_8
    | spl0_7 ),
    inference(avatar_split_clause,[],[f28,f58,f62]) ).

fof(f28,axiom,
    ( a_truth(ork_is_female)
    | ~ female(ork) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ork_is_female2) ).

fof(f68,plain,
    ( ~ spl0_6
    | spl0_5 ),
    inference(avatar_split_clause,[],[f27,f49,f53]) ).

fof(f27,axiom,
    ( a_truth(bog_is_male)
    | ~ male(bog) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',bog_is_male2) ).

fof(f67,plain,
    ( ~ spl0_4
    | spl0_3 ),
    inference(avatar_split_clause,[],[f26,f40,f44]) ).

fof(f26,axiom,
    ( a_truth(ork_is_from_mars)
    | ~ from_mars(ork) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ork_is_from_mars2) ).

fof(f66,plain,
    ( ~ spl0_2
    | spl0_1 ),
    inference(avatar_split_clause,[],[f25,f31,f35]) ).

fof(f25,axiom,
    ( a_truth(bog_is_from_venus)
    | ~ from_venus(bog) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',bog_is_from_venus2) ).

fof(f47,plain,
    ( ~ spl0_3
    | spl0_4 ),
    inference(avatar_split_clause,[],[f22,f44,f40]) ).

fof(f22,axiom,
    ( from_mars(ork)
    | ~ a_truth(ork_is_from_mars) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ork_is_from_mars1) ).

fof(f38,plain,
    ( ~ spl0_1
    | spl0_2 ),
    inference(avatar_split_clause,[],[f21,f35,f31]) ).

fof(f21,axiom,
    ( from_venus(bog)
    | ~ a_truth(bog_is_from_venus) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',bog_is_from_venus1) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12  % Problem    : PUZ006-1 : TPTP v8.2.0. Released v1.0.0.
% 0.13/0.14  % 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
% 0.13/0.35  % Computer : n007.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit   : 300
% 0.13/0.35  % WCLimit    : 300
% 0.13/0.35  % DateTime   : Sat May 18 10:46:53 EDT 2024
% 0.13/0.35  % CPUTime    : 
% 0.13/0.35  This is a CNF_UNS_RFO_SEQ_NHN problem
% 0.20/0.35  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
% 0.56/0.73  % (16966)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 theBenchmark for (2996ds/83Mi)
% 0.56/0.74  % (16960)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 (2996ds/34Mi)
% 0.56/0.74  % (16963)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on theBenchmark for (2996ds/33Mi)
% 0.56/0.74  % (16966)First to succeed.
% 0.56/0.74  % (16967)lrs-21_1:1_to=lpo:sil=2000:sp=frequency:sos=on:lma=on:i=56:sd=2:ss=axioms:ep=R_0 on theBenchmark for (2996ds/56Mi)
% 0.56/0.74  % (16965)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on theBenchmark for (2996ds/45Mi)
% 0.56/0.74  % (16964)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 theBenchmark for (2996ds/34Mi)
% 0.56/0.74  % (16966)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-16959"
% 0.56/0.74  % (16963)Refutation not found, incomplete strategy% (16963)------------------------------
% 0.56/0.74  % (16963)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.56/0.74  % (16963)Termination reason: Refutation not found, incomplete strategy
% 0.56/0.74  
% 0.56/0.74  % (16963)Memory used [KB]: 988
% 0.56/0.74  % (16963)Time elapsed: 0.003 s
% 0.56/0.74  % (16963)Instructions burned: 2 (million)
% 0.56/0.74  % (16963)------------------------------
% 0.56/0.74  % (16963)------------------------------
% 0.56/0.74  % (16967)Refutation not found, incomplete strategy% (16967)------------------------------
% 0.56/0.74  % (16967)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.56/0.74  % (16966)Refutation found. Thanks to Tanya!
% 0.56/0.74  % SZS status Unsatisfiable for theBenchmark
% 0.56/0.74  % SZS output start Proof for theBenchmark
% See solution above
% 0.56/0.74  % (16966)------------------------------
% 0.56/0.74  % (16966)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.56/0.74  % (16966)Termination reason: Refutation
% 0.56/0.74  
% 0.56/0.74  % (16966)Memory used [KB]: 1017
% 0.56/0.74  % (16966)Time elapsed: 0.003 s
% 0.56/0.74  % (16966)Instructions burned: 6 (million)
% 0.56/0.74  % (16959)Success in time 0.384 s
% 0.56/0.74  % Vampire---4.8 exiting
%------------------------------------------------------------------------------