%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : PUZ007-1 : 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 : n026.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 18:11:29 EDT 2022

% Result   : Unsatisfiable 0.20s 0.49s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :   29
% Syntax   : Number of formulae    :   91 (   4 unt;   0 def)
%            Number of atoms       :  204 (   2 equ)
%            Maximal formula atoms :    4 (   2 avg)
%            Number of connectives :  211 (  98   ~; 103   |;   0   &)
%                                         (  10 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   3 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :   20 (  18 usr;  11 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   4 con; 0-1 aty)
%            Number of variables   :   10 (  10   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f151,plain,
    $false,
    inference(avatar_sat_refutation,[],[f37,f46,f60,f66,f67,f76,f81,f83,f87,f92,f116,f123,f137,f145,f147,f150]) ).

fof(f150,plain,
    ( ~ spl0_1
    | ~ spl0_10 ),
    inference(avatar_contradiction_clause,[],[f149]) ).

fof(f149,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_10 ),
    inference(subsumption_resolution,[],[f148,f31]) ).

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

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

fof(f148,plain,
    ( ~ from_mars(a)
    | ~ spl0_10 ),
    inference(resolution,[],[f75,f2]) ).

fof(f2,axiom,
    ! [X0] :
      ( ~ from_venus(X0)
      | ~ from_mars(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_from_mars_and_venus) ).

fof(f75,plain,
    ( from_venus(a)
    | ~ spl0_10 ),
    inference(avatar_component_clause,[],[f73]) ).

fof(f73,plain,
    ( spl0_10
  <=> from_venus(a) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).

fof(f147,plain,
    ( spl0_11
    | spl0_9 ),
    inference(avatar_split_clause,[],[f146,f69,f78]) ).

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

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

fof(f146,plain,
    ( from_mars(b)
    | spl0_9 ),
    inference(resolution,[],[f70,f1]) ).

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

fof(f70,plain,
    ( ~ from_venus(b)
    | spl0_9 ),
    inference(avatar_component_clause,[],[f69]) ).

fof(f145,plain,
    ( ~ spl0_9
    | ~ spl0_3
    | spl0_8 ),
    inference(avatar_split_clause,[],[f144,f63,f39,f69]) ).

fof(f39,plain,
    ( spl0_3
  <=> female(b) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).

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

fof(f144,plain,
    ( ~ from_venus(b)
    | ~ spl0_3
    | spl0_8 ),
    inference(subsumption_resolution,[],[f139,f133]) ).

fof(f133,plain,
    ( ~ truthteller(b)
    | spl0_8 ),
    inference(subsumption_resolution,[],[f132,f65]) ).

fof(f65,plain,
    ( ~ a_truth(a_has_lied)
    | spl0_8 ),
    inference(avatar_component_clause,[],[f63]) ).

fof(f132,plain,
    ( a_truth(a_has_lied)
    | ~ truthteller(b) ),
    inference(resolution,[],[f15,f18]) ).

fof(f18,axiom,
    says(b,a_has_lied),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',b_says_a_lies) ).

fof(f15,axiom,
    ! [X0,X1] :
      ( ~ says(X0,X1)
      | a_truth(X1)
      | ~ truthteller(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',truthtellers_make_true_statements) ).

fof(f139,plain,
    ( ~ from_venus(b)
    | truthteller(b)
    | ~ spl0_3 ),
    inference(resolution,[],[f41,f11]) ).

fof(f11,axiom,
    ! [X0] :
      ( ~ female(X0)
      | truthteller(X0)
      | ~ from_venus(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',venusian_female_are_truthtellers) ).

fof(f41,plain,
    ( female(b)
    | ~ spl0_3 ),
    inference(avatar_component_clause,[],[f39]) ).

fof(f137,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | ~ spl0_5 ),
    inference(avatar_contradiction_clause,[],[f136]) ).

fof(f136,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_5 ),
    inference(subsumption_resolution,[],[f135,f126]) ).

fof(f126,plain,
    ( truthteller(a)
    | ~ spl0_2 ),
    inference(subsumption_resolution,[],[f97,f36]) ).

fof(f36,plain,
    ( a_truth(a_from_mars)
    | ~ spl0_2 ),
    inference(avatar_component_clause,[],[f34]) ).

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

fof(f97,plain,
    ( truthteller(a)
    | ~ a_truth(a_from_mars) ),
    inference(superposition,[],[f9,f22]) ).

fof(f22,axiom,
    a_from_mars = statement_by(a),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a_states) ).

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

fof(f135,plain,
    ( ~ truthteller(a)
    | ~ spl0_1
    | ~ spl0_5 ),
    inference(resolution,[],[f125,f6]) ).

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

fof(f125,plain,
    ( liar(a)
    | ~ spl0_1
    | ~ spl0_5 ),
    inference(subsumption_resolution,[],[f118,f31]) ).

fof(f118,plain,
    ( liar(a)
    | ~ from_mars(a)
    | ~ spl0_5 ),
    inference(resolution,[],[f49,f14]) ).

fof(f14,axiom,
    ! [X0] :
      ( ~ female(X0)
      | liar(X0)
      | ~ from_mars(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',marsian_females_are_liars) ).

fof(f49,plain,
    ( female(a)
    | ~ spl0_5 ),
    inference(avatar_component_clause,[],[f48]) ).

fof(f48,plain,
    ( spl0_5
  <=> female(a) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).

fof(f123,plain,
    ( spl0_2
    | ~ spl0_5
    | ~ spl0_10 ),
    inference(avatar_contradiction_clause,[],[f122]) ).

fof(f122,plain,
    ( $false
    | spl0_2
    | ~ spl0_5
    | ~ spl0_10 ),
    inference(subsumption_resolution,[],[f121,f107]) ).

fof(f107,plain,
    ( ~ truthteller(a)
    | spl0_2 ),
    inference(resolution,[],[f103,f6]) ).

fof(f103,plain,
    ( liar(a)
    | spl0_2 ),
    inference(subsumption_resolution,[],[f101,f35]) ).

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

fof(f101,plain,
    ( liar(a)
    | a_truth(a_from_mars) ),
    inference(superposition,[],[f10,f22]) ).

fof(f10,axiom,
    ! [X0] :
      ( a_truth(statement_by(X0))
      | liar(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',false_statements_made_by_liars) ).

fof(f121,plain,
    ( truthteller(a)
    | ~ spl0_5
    | ~ spl0_10 ),
    inference(subsumption_resolution,[],[f119,f75]) ).

fof(f119,plain,
    ( ~ from_venus(a)
    | truthteller(a)
    | ~ spl0_5 ),
    inference(resolution,[],[f49,f11]) ).

fof(f116,plain,
    ( ~ spl0_3
    | ~ spl0_8
    | ~ spl0_11 ),
    inference(avatar_contradiction_clause,[],[f115]) ).

fof(f115,plain,
    ( $false
    | ~ spl0_3
    | ~ spl0_8
    | ~ spl0_11 ),
    inference(subsumption_resolution,[],[f114,f99]) ).

fof(f99,plain,
    ( truthteller(b)
    | ~ spl0_8 ),
    inference(subsumption_resolution,[],[f98,f64]) ).

fof(f64,plain,
    ( a_truth(a_has_lied)
    | ~ spl0_8 ),
    inference(avatar_component_clause,[],[f63]) ).

fof(f98,plain,
    ( truthteller(b)
    | ~ a_truth(a_has_lied) ),
    inference(superposition,[],[f9,f23]) ).

fof(f23,axiom,
    a_has_lied = statement_by(b),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',b_states) ).

fof(f114,plain,
    ( ~ truthteller(b)
    | ~ spl0_3
    | ~ spl0_11 ),
    inference(resolution,[],[f111,f6]) ).

fof(f111,plain,
    ( liar(b)
    | ~ spl0_3
    | ~ spl0_11 ),
    inference(subsumption_resolution,[],[f110,f80]) ).

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

fof(f110,plain,
    ( liar(b)
    | ~ from_mars(b)
    | ~ spl0_3 ),
    inference(resolution,[],[f14,f41]) ).

fof(f92,plain,
    ( spl0_4
    | spl0_5 ),
    inference(avatar_contradiction_clause,[],[f91]) ).

fof(f91,plain,
    ( $false
    | spl0_4
    | spl0_5 ),
    inference(subsumption_resolution,[],[f90,f45]) ).

fof(f45,plain,
    ( ~ male(a)
    | spl0_4 ),
    inference(avatar_component_clause,[],[f43]) ).

fof(f43,plain,
    ( spl0_4
  <=> male(a) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).

fof(f90,plain,
    ( male(a)
    | spl0_5 ),
    inference(resolution,[],[f3,f50]) ).

fof(f50,plain,
    ( ~ female(a)
    | spl0_5 ),
    inference(avatar_component_clause,[],[f48]) ).

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

fof(f87,plain,
    ( ~ spl0_9
    | ~ spl0_11 ),
    inference(avatar_contradiction_clause,[],[f86]) ).

fof(f86,plain,
    ( $false
    | ~ spl0_9
    | ~ spl0_11 ),
    inference(subsumption_resolution,[],[f84,f80]) ).

fof(f84,plain,
    ( ~ from_mars(b)
    | ~ spl0_9 ),
    inference(resolution,[],[f2,f71]) ).

fof(f71,plain,
    ( from_venus(b)
    | ~ spl0_9 ),
    inference(avatar_component_clause,[],[f69]) ).

fof(f83,plain,
    ( spl0_8
    | ~ spl0_7 ),
    inference(avatar_split_clause,[],[f82,f57,f63]) ).

fof(f57,plain,
    ( spl0_7
  <=> a_truth(statement_by(b)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).

fof(f82,plain,
    ( a_truth(a_has_lied)
    | ~ spl0_7 ),
    inference(forward_demodulation,[],[f59,f23]) ).

fof(f59,plain,
    ( a_truth(statement_by(b))
    | ~ spl0_7 ),
    inference(avatar_component_clause,[],[f57]) ).

fof(f81,plain,
    ( spl0_1
    | spl0_11 ),
    inference(avatar_split_clause,[],[f27,f78,f30]) ).

fof(f27,axiom,
    ( from_mars(b)
    | from_mars(a) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',one_from_mars) ).

fof(f76,plain,
    ( spl0_9
    | spl0_10 ),
    inference(avatar_split_clause,[],[f28,f73,f69]) ).

fof(f28,axiom,
    ( from_venus(a)
    | from_venus(b) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',one_from_venus) ).

fof(f67,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/sandbox2/benchmark/theBenchmark.p',a_from_mars2) ).

fof(f66,plain,
    ( ~ spl0_8
    | ~ spl0_2 ),
    inference(avatar_split_clause,[],[f61,f34,f63]) ).

fof(f61,plain,
    ( ~ a_truth(a_from_mars)
    | ~ a_truth(a_has_lied) ),
    inference(forward_demodulation,[],[f21,f23]) ).

fof(f21,axiom,
    ( ~ a_truth(a_from_mars)
    | ~ a_truth(statement_by(b)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a_from_mars3) ).

fof(f60,plain,
    ( spl0_2
    | spl0_7 ),
    inference(avatar_split_clause,[],[f24,f57,f34]) ).

fof(f24,axiom,
    ( a_truth(statement_by(b))
    | a_truth(a_from_mars) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',truth_of_bs_statement) ).

fof(f46,plain,
    ( spl0_3
    | ~ spl0_4 ),
    inference(avatar_split_clause,[],[f26,f43,f39]) ).

fof(f26,axiom,
    ( ~ male(a)
    | female(b) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',different_sex2) ).

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/sandbox2/benchmark/theBenchmark.p',a_from_mars1) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem    : PUZ007-1 : TPTP v8.1.0. Released v1.0.0.
% 0.03/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.14/0.33  % Computer : n026.cluster.edu
% 0.14/0.33  % Model    : x86_64 x86_64
% 0.14/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.33  % Memory   : 8042.1875MB
% 0.14/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.33  % CPULimit   : 300
% 0.14/0.33  % WCLimit    : 300
% 0.14/0.33  % DateTime   : Tue Aug 30 10:49:21 EDT 2022
% 0.14/0.34  % CPUTime    : 
% 0.20/0.48  % (26520)ott+10_1:32_abs=on:br=off:urr=ec_only:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.20/0.48  % (26520)Refutation not found, incomplete strategy% (26520)------------------------------
% 0.20/0.48  % (26520)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.48  % (26520)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.48  % (26520)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.48  
% 0.20/0.48  % (26520)Memory used [KB]: 5500
% 0.20/0.48  % (26520)Time elapsed: 0.096 s
% 0.20/0.48  % (26520)Instructions burned: 2 (million)
% 0.20/0.48  % (26520)------------------------------
% 0.20/0.48  % (26520)------------------------------
% 0.20/0.49  % (26543)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.20/0.49  % (26543)First to succeed.
% 0.20/0.49  % (26543)Refutation found. Thanks to Tanya!
% 0.20/0.49  % SZS status Unsatisfiable for theBenchmark
% 0.20/0.49  % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.49  % (26543)------------------------------
% 0.20/0.49  % (26543)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.49  % (26543)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.49  % (26543)Termination reason: Refutation
% 0.20/0.49  
% 0.20/0.49  % (26543)Memory used [KB]: 5500
% 0.20/0.49  % (26543)Time elapsed: 0.096 s
% 0.20/0.49  % (26543)Instructions burned: 3 (million)
% 0.20/0.49  % (26543)------------------------------
% 0.20/0.49  % (26543)------------------------------
% 0.20/0.49  % (26518)Success in time 0.148 s
%------------------------------------------------------------------------------