%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : PUZ006-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s

% Computer : n009.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 : Wed Aug 31 18:11:28 EDT 2022

% Result   : Unsatisfiable 0.19s 0.48s
% Output   : Refutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :   28
% Syntax   : Number of formulae    :   78 (  13 unt;   0 def)
%            Number of atoms       :  152 (   6 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :  131 (  57   ~;  61   |;   0   &)
%                                         (  13 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    5 (   3 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :   23 (  21 usr;  14 prp; 0-2 aty)
%            Number of functors    :    7 (   7 usr;   6 con; 0-1 aty)
%            Number of variables   :    7 (   7   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f162,plain,
    $false,
    inference(avatar_sat_refutation,[],[f38,f48,f57,f69,f76,f91,f95,f112,f117,f130,f138,f145,f150,f161]) ).

fof(f161,plain,
    ( ~ spl0_5
    | spl0_13 ),
    inference(avatar_contradiction_clause,[],[f160]) ).

fof(f160,plain,
    ( $false
    | ~ spl0_5
    | spl0_13 ),
    inference(subsumption_resolution,[],[f159,f52]) ).

fof(f52,plain,
    ( a_truth(ork_is_female)
    | ~ spl0_5 ),
    inference(avatar_component_clause,[],[f50]) ).

fof(f50,plain,
    ( spl0_5
  <=> a_truth(ork_is_female) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).

fof(f159,plain,
    ( ~ a_truth(ork_is_female)
    | spl0_13 ),
    inference(subsumption_resolution,[],[f158,f124]) ).

fof(f124,plain,
    ( ~ truthteller(bog)
    | spl0_13 ),
    inference(avatar_component_clause,[],[f123]) ).

fof(f123,plain,
    ( spl0_13
  <=> truthteller(bog) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_13])]) ).

fof(f158,plain,
    ( truthteller(bog)
    | ~ a_truth(ork_is_female) ),
    inference(superposition,[],[f9,f107]) ).

fof(f107,plain,
    ork_is_female = statement_by(bog),
    inference(resolution,[],[f8,f20]) ).

fof(f20,axiom,
    says(bog,ork_is_female),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',bog_says_ork_is_female) ).

fof(f8,axiom,
    ! [X0,X1] :
      ( ~ says(X0,X1)
      | statement_by(X0) = X1 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',people_say_their_statements) ).

fof(f9,axiom,
    ! [X0] :
      ( ~ a_truth(statement_by(X0))
      | truthteller(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',true_statements_made_by_truthtellers) ).

fof(f150,plain,
    ( ~ spl0_10
    | ~ spl0_14 ),
    inference(avatar_contradiction_clause,[],[f149]) ).

fof(f149,plain,
    ( $false
    | ~ spl0_10
    | ~ spl0_14 ),
    inference(subsumption_resolution,[],[f148,f142]) ).

fof(f142,plain,
    ( truthteller(ork)
    | ~ spl0_14 ),
    inference(avatar_component_clause,[],[f140]) ).

fof(f140,plain,
    ( spl0_14
  <=> truthteller(ork) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_14])]) ).

fof(f148,plain,
    ( ~ truthteller(ork)
    | ~ spl0_10 ),
    inference(resolution,[],[f90,f6]) ).

fof(f6,axiom,
    ! [X0] :
      ( ~ liar(X0)
      | ~ truthteller(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_truthteller_and_liar) ).

fof(f90,plain,
    ( liar(ork)
    | ~ spl0_10 ),
    inference(avatar_component_clause,[],[f88]) ).

fof(f88,plain,
    ( spl0_10
  <=> liar(ork) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).

fof(f145,plain,
    ( spl0_14
    | ~ spl0_7 ),
    inference(avatar_split_clause,[],[f144,f59,f140]) ).

fof(f59,plain,
    ( spl0_7
  <=> a_truth(bog_is_from_venus) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).

fof(f144,plain,
    ( truthteller(ork)
    | ~ spl0_7 ),
    inference(subsumption_resolution,[],[f133,f61]) ).

fof(f61,plain,
    ( a_truth(bog_is_from_venus)
    | ~ spl0_7 ),
    inference(avatar_component_clause,[],[f59]) ).

fof(f133,plain,
    ( truthteller(ork)
    | ~ a_truth(bog_is_from_venus) ),
    inference(superposition,[],[f9,f104]) ).

fof(f104,plain,
    bog_is_from_venus = statement_by(ork),
    inference(resolution,[],[f8,f17]) ).

fof(f17,axiom,
    says(ork,bog_is_from_venus),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ork_says_bog_is_from_venus) ).

fof(f138,plain,
    ( ~ spl0_2
    | spl0_13 ),
    inference(avatar_contradiction_clause,[],[f137]) ).

fof(f137,plain,
    ( $false
    | ~ spl0_2
    | spl0_13 ),
    inference(subsumption_resolution,[],[f136,f124]) ).

fof(f136,plain,
    ( truthteller(bog)
    | ~ spl0_2 ),
    inference(subsumption_resolution,[],[f135,f37]) ).

fof(f37,plain,
    ( a_truth(ork_is_from_mars)
    | ~ spl0_2 ),
    inference(avatar_component_clause,[],[f35]) ).

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

fof(f135,plain,
    ( ~ a_truth(ork_is_from_mars)
    | truthteller(bog) ),
    inference(superposition,[],[f9,f106]) ).

fof(f106,plain,
    ork_is_from_mars = statement_by(bog),
    inference(resolution,[],[f8,f18]) ).

fof(f18,axiom,
    says(bog,ork_is_from_mars),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',bog_says_ork_is_from_mar) ).

fof(f130,plain,
    ( ~ spl0_13
    | ~ spl0_11 ),
    inference(avatar_split_clause,[],[f129,f114,f123]) ).

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

fof(f129,plain,
    ( ~ truthteller(bog)
    | ~ spl0_11 ),
    inference(resolution,[],[f116,f6]) ).

fof(f116,plain,
    ( liar(bog)
    | ~ spl0_11 ),
    inference(avatar_component_clause,[],[f114]) ).

fof(f117,plain,
    ( spl0_11
    | ~ spl0_8
    | ~ spl0_4 ),
    inference(avatar_split_clause,[],[f81,f44,f63,f114]) ).

fof(f63,plain,
    ( spl0_8
  <=> from_venus(bog) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).

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

fof(f81,plain,
    ( ~ from_venus(bog)
    | liar(bog)
    | ~ spl0_4 ),
    inference(resolution,[],[f12,f46]) ).

fof(f46,plain,
    ( male(bog)
    | ~ spl0_4 ),
    inference(avatar_component_clause,[],[f44]) ).

fof(f12,axiom,
    ! [X0] :
      ( ~ male(X0)
      | liar(X0)
      | ~ from_venus(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',venusian_males_are_liars) ).

fof(f112,plain,
    ( ~ spl0_3
    | spl0_7 ),
    inference(avatar_contradiction_clause,[],[f111]) ).

fof(f111,plain,
    ( $false
    | ~ spl0_3
    | spl0_7 ),
    inference(subsumption_resolution,[],[f109,f60]) ).

fof(f60,plain,
    ( ~ a_truth(bog_is_from_venus)
    | spl0_7 ),
    inference(avatar_component_clause,[],[f59]) ).

fof(f109,plain,
    ( a_truth(bog_is_from_venus)
    | ~ spl0_3 ),
    inference(superposition,[],[f41,f108]) ).

fof(f108,plain,
    bog_is_from_venus = bog_is_male,
    inference(forward_demodulation,[],[f105,f104]) ).

fof(f105,plain,
    bog_is_male = statement_by(ork),
    inference(resolution,[],[f8,f19]) ).

fof(f19,axiom,
    says(ork,bog_is_male),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ork_says_bog_is_male) ).

fof(f41,plain,
    ( a_truth(bog_is_male)
    | ~ spl0_3 ),
    inference(avatar_component_clause,[],[f40]) ).

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

fof(f95,plain,
    ( spl0_1
    | spl0_9 ),
    inference(avatar_split_clause,[],[f92,f84,f31]) ).

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

fof(f84,plain,
    ( spl0_9
  <=> from_venus(ork) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).

fof(f92,plain,
    ( from_mars(ork)
    | spl0_9 ),
    inference(resolution,[],[f86,f1]) ).

fof(f1,axiom,
    ! [X0] :
      ( from_venus(X0)
      | from_mars(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',from_mars_or_venus) ).

fof(f86,plain,
    ( ~ from_venus(ork)
    | spl0_9 ),
    inference(avatar_component_clause,[],[f84]) ).

fof(f91,plain,
    ( ~ spl0_9
    | spl0_10
    | spl0_6 ),
    inference(avatar_split_clause,[],[f82,f54,f88,f84]) ).

fof(f54,plain,
    ( spl0_6
  <=> female(ork) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).

fof(f82,plain,
    ( liar(ork)
    | ~ from_venus(ork)
    | spl0_6 ),
    inference(resolution,[],[f12,f73]) ).

fof(f73,plain,
    ( male(ork)
    | spl0_6 ),
    inference(resolution,[],[f3,f56]) ).

fof(f56,plain,
    ( ~ female(ork)
    | spl0_6 ),
    inference(avatar_component_clause,[],[f54]) ).

fof(f3,axiom,
    ! [X0] :
      ( female(X0)
      | male(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',male_or_female) ).

fof(f76,plain,
    spl0_4,
    inference(avatar_split_clause,[],[f72,f44]) ).

fof(f72,plain,
    male(bog),
    inference(resolution,[],[f3,f29]) ).

fof(f29,axiom,
    ~ female(bog),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_bog_is_female) ).

fof(f69,plain,
    ( spl0_8
    | ~ spl0_7 ),
    inference(avatar_split_clause,[],[f21,f59,f63]) ).

fof(f21,axiom,
    ( ~ a_truth(bog_is_from_venus)
    | from_venus(bog) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',bog_is_from_venus1) ).

fof(f57,plain,
    ( spl0_5
    | ~ spl0_6 ),
    inference(avatar_split_clause,[],[f28,f54,f50]) ).

fof(f28,axiom,
    ( ~ female(ork)
    | a_truth(ork_is_female) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ork_is_female2) ).

fof(f48,plain,
    ( spl0_3
    | ~ spl0_4 ),
    inference(avatar_split_clause,[],[f27,f44,f40]) ).

fof(f27,axiom,
    ( ~ male(bog)
    | a_truth(bog_is_male) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',bog_is_male2) ).

fof(f38,plain,
    ( ~ spl0_1
    | spl0_2 ),
    inference(avatar_split_clause,[],[f26,f35,f31]) ).

fof(f26,axiom,
    ( a_truth(ork_is_from_mars)
    | ~ from_mars(ork) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ork_is_from_mars2) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11  % Problem    : PUZ006-1 : TPTP v8.1.0. Released v1.0.0.
% 0.03/0.12  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.33  % Computer : n009.cluster.edu
% 0.13/0.33  % Model    : x86_64 x86_64
% 0.13/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33  % Memory   : 8042.1875MB
% 0.13/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33  % CPULimit   : 300
% 0.13/0.33  % WCLimit    : 300
% 0.13/0.33  % DateTime   : Tue Aug 30 10:32:35 EDT 2022
% 0.13/0.33  % CPUTime    : 
% 0.19/0.46  % (20190)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.19/0.47  % (20198)ott+10_1:8_bsd=on:fsd=on:lcm=predicate:nwc=5.0:s2a=on:s2at=1.5:spb=goal_then_units:i=176:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/176Mi)
% 0.19/0.47  % (20190)First to succeed.
% 0.19/0.48  % (20190)Refutation found. Thanks to Tanya!
% 0.19/0.48  % SZS status Unsatisfiable for theBenchmark
% 0.19/0.48  % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.48  % (20190)------------------------------
% 0.19/0.48  % (20190)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.48  % (20190)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.48  % (20190)Termination reason: Refutation
% 0.19/0.48  
% 0.19/0.48  % (20190)Memory used [KB]: 5500
% 0.19/0.48  % (20190)Time elapsed: 0.078 s
% 0.19/0.48  % (20190)Instructions burned: 3 (million)
% 0.19/0.48  % (20190)------------------------------
% 0.19/0.48  % (20190)------------------------------
% 0.19/0.48  % (20177)Success in time 0.134 s
%------------------------------------------------------------------------------