%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : PUZ001-2 : 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 : n012.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 18:11:27 EDT 2022

% Result   : Unsatisfiable 0.20s 0.51s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :   15
% Syntax   : Number of formulae    :   40 (  13 unt;   0 def)
%            Number of atoms       :   72 (  19 equ)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :   62 (  30   ~;  29   |;   0   &)
%                                         (   3 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    5 (   3 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    9 (   7 usr;   4 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   4 con; 0-1 aty)
%            Number of variables   :   11 (  11   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f83,plain,
    $false,
    inference(avatar_sat_refutation,[],[f49,f61,f64,f82]) ).

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

fof(f81,plain,
    ( $false
    | ~ spl0_2 ),
    inference(subsumption_resolution,[],[f80,f14]) ).

fof(f14,axiom,
    aunt_agatha != butler,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',agatha_is_not_the_butler) ).

fof(f80,plain,
    ( aunt_agatha = butler
    | ~ spl0_2 ),
    inference(resolution,[],[f76,f10]) ).

fof(f10,axiom,
    ! [X0] :
      ( hates(aunt_agatha,X0)
      | butler = X0 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',agatha_likes_only_butler) ).

fof(f76,plain,
    ( ~ hates(aunt_agatha,aunt_agatha)
    | ~ spl0_2 ),
    inference(resolution,[],[f67,f9]) ).

fof(f9,axiom,
    ! [X0] :
      ( ~ hates(charles,X0)
      | ~ hates(aunt_agatha,X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',charles_and_agatha_hate_different_people) ).

fof(f67,plain,
    ( hates(charles,aunt_agatha)
    | ~ spl0_2 ),
    inference(backward_demodulation,[],[f16,f38]) ).

fof(f38,plain,
    ( someone = charles
    | ~ spl0_2 ),
    inference(avatar_component_clause,[],[f36]) ).

fof(f36,plain,
    ( spl0_2
  <=> someone = charles ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).

fof(f16,plain,
    hates(someone,aunt_agatha),
    inference(resolution,[],[f7,f2]) ).

fof(f2,axiom,
    killed(someone,aunt_agatha),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',someone_killed_agatha) ).

fof(f7,axiom,
    ! [X2,X1] :
      ( ~ killed(X1,X2)
      | hates(X1,X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',killer_hates_victim) ).

fof(f64,plain,
    ( spl0_2
    | spl0_3
    | spl0_1 ),
    inference(avatar_split_clause,[],[f63,f32,f40,f36]) ).

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

fof(f32,plain,
    ( spl0_1
  <=> someone = aunt_agatha ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).

fof(f63,plain,
    ( someone = butler
    | someone = charles
    | spl0_1 ),
    inference(subsumption_resolution,[],[f62,f33]) ).

fof(f33,plain,
    ( someone != aunt_agatha
    | spl0_1 ),
    inference(avatar_component_clause,[],[f32]) ).

fof(f62,plain,
    ( someone = aunt_agatha
    | someone = butler
    | someone = charles ),
    inference(resolution,[],[f1,f6]) ).

fof(f6,axiom,
    ! [X0] :
      ( ~ lives_at_dreadsbury(X0)
      | charles = X0
      | aunt_agatha = X0
      | butler = X0 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',noone_else_lives_at_mansion) ).

fof(f1,axiom,
    lives_at_dreadsbury(someone),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',someone_in_mansion) ).

fof(f61,plain,
    ~ spl0_3,
    inference(avatar_contradiction_clause,[],[f60]) ).

fof(f60,plain,
    ( $false
    | ~ spl0_3 ),
    inference(subsumption_resolution,[],[f58,f24]) ).

fof(f24,plain,
    ~ hates(butler,butler),
    inference(superposition,[],[f13,f22]) ).

fof(f22,plain,
    butler = every_one_but(butler),
    inference(resolution,[],[f21,f10]) ).

fof(f21,plain,
    ~ hates(aunt_agatha,every_one_but(butler)),
    inference(resolution,[],[f12,f13]) ).

fof(f12,axiom,
    ! [X0] :
      ( hates(butler,X0)
      | ~ hates(aunt_agatha,X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',butler_and_agatha_hate_the_same_people) ).

fof(f13,axiom,
    ! [X0] : ~ hates(X0,every_one_but(X0)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',noone_hates_everyone) ).

fof(f58,plain,
    ( hates(butler,butler)
    | ~ spl0_3 ),
    inference(resolution,[],[f55,f20]) ).

fof(f20,plain,
    ! [X0] :
      ( ~ killed(X0,aunt_agatha)
      | hates(butler,X0) ),
    inference(resolution,[],[f11,f8]) ).

fof(f8,axiom,
    ! [X2,X1] :
      ( ~ richer(X1,X2)
      | ~ killed(X1,X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',killer_poorer_than_victim) ).

fof(f11,axiom,
    ! [X0] :
      ( richer(X0,aunt_agatha)
      | hates(butler,X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',butler_hates_poor_people) ).

fof(f55,plain,
    ( killed(butler,aunt_agatha)
    | ~ spl0_3 ),
    inference(backward_demodulation,[],[f2,f42]) ).

fof(f42,plain,
    ( someone = butler
    | ~ spl0_3 ),
    inference(avatar_component_clause,[],[f40]) ).

fof(f49,plain,
    ~ spl0_1,
    inference(avatar_contradiction_clause,[],[f48]) ).

fof(f48,plain,
    ( $false
    | ~ spl0_1 ),
    inference(subsumption_resolution,[],[f46,f15]) ).

fof(f15,axiom,
    ~ killed(aunt_agatha,aunt_agatha),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_agatha_killed_herself) ).

fof(f46,plain,
    ( killed(aunt_agatha,aunt_agatha)
    | ~ spl0_1 ),
    inference(backward_demodulation,[],[f2,f34]) ).

fof(f34,plain,
    ( someone = aunt_agatha
    | ~ spl0_1 ),
    inference(avatar_component_clause,[],[f32]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem    : PUZ001-2 : 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
% 0.13/0.34  % Computer : n012.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit   : 300
% 0.13/0.34  % WCLimit    : 300
% 0.13/0.34  % DateTime   : Tue Aug 30 10:33:20 EDT 2022
% 0.13/0.34  % CPUTime    : 
% 0.20/0.48  % (21743)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)
% 0.20/0.50  % (21743)Refutation not found, incomplete strategy% (21743)------------------------------
% 0.20/0.50  % (21743)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.50  % (21743)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.50  % (21743)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.50  
% 0.20/0.50  % (21743)Memory used [KB]: 5373
% 0.20/0.50  % (21743)Time elapsed: 0.092 s
% 0.20/0.50  % (21743)Instructions burned: 2 (million)
% 0.20/0.50  % (21743)------------------------------
% 0.20/0.50  % (21743)------------------------------
% 0.20/0.50  % (21758)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.20/0.51  % (21744)ott+4_1:1_av=off:bd=off:nwc=5.0:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.20/0.51  % (21758)First to succeed.
% 0.20/0.51  % (21751)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.51  % (21758)Refutation found. Thanks to Tanya!
% 0.20/0.51  % SZS status Unsatisfiable for theBenchmark
% 0.20/0.51  % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.51  % (21758)------------------------------
% 0.20/0.51  % (21758)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.51  % (21758)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.51  % (21758)Termination reason: Refutation
% 0.20/0.51  
% 0.20/0.51  % (21758)Memory used [KB]: 5373
% 0.20/0.51  % (21758)Time elapsed: 0.106 s
% 0.20/0.51  % (21758)Instructions burned: 3 (million)
% 0.20/0.51  % (21758)------------------------------
% 0.20/0.51  % (21758)------------------------------
% 0.20/0.51  % (21741)Success in time 0.159 s
%------------------------------------------------------------------------------