TSTP Solution File: PUZ035-7 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : PUZ035-7 : TPTP v8.1.0. Released v2.0.0.
% 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 : n029.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 18:11:39 EDT 2022

% Result   : Unsatisfiable 0.20s 0.50s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    6
% Syntax   : Number of formulae    :   20 (   4 unt;   0 def)
%            Number of atoms       :   38 (   0 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   39 (  21   ~;  15   |;   0   &)
%                                         (   3 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   3 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    6 (   5 usr;   4 prp; 0-3 aty)
%            Number of functors    :    8 (   8 usr;   6 con; 0-2 aty)
%            Number of variables   :   12 (  12   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f37,plain,
    $false,
    inference(avatar_sat_refutation,[],[f24,f30,f33,f36]) ).

fof(f36,plain,
    ~ spl0_1,
    inference(avatar_contradiction_clause,[],[f35]) ).

fof(f35,plain,
    ( $false
    | ~ spl0_1 ),
    inference(subsumption_resolution,[],[f34,f17]) ).

fof(f17,plain,
    ( ! [X6] : ~ truth(isa(asked,X6))
    | ~ spl0_1 ),
    inference(avatar_component_clause,[],[f16]) ).

fof(f16,plain,
    ( spl0_1
  <=> ! [X6] : ~ truth(isa(asked,X6)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).

fof(f34,plain,
    ( truth(isa(asked,knave))
    | ~ spl0_1 ),
    inference(resolution,[],[f17,f1]) ).

fof(f1,axiom,
    ! [X0] :
      ( truth(isa(X0,knight))
      | truth(isa(X0,knave)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',everyone_a_knight_or_knave) ).

fof(f33,plain,
    ~ spl0_3,
    inference(avatar_contradiction_clause,[],[f32]) ).

fof(f32,plain,
    ( $false
    | ~ spl0_3 ),
    inference(subsumption_resolution,[],[f31,f23]) ).

fof(f23,plain,
    ( ! [X7] : ~ truth(isa(other,X7))
    | ~ spl0_3 ),
    inference(avatar_component_clause,[],[f22]) ).

fof(f22,plain,
    ( spl0_3
  <=> ! [X7] : ~ truth(isa(other,X7)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).

fof(f31,plain,
    ( truth(isa(other,knave))
    | ~ spl0_3 ),
    inference(resolution,[],[f23,f1]) ).

fof(f30,plain,
    ~ spl0_2,
    inference(avatar_contradiction_clause,[],[f29]) ).

fof(f29,plain,
    ( $false
    | ~ spl0_2 ),
    inference(subsumption_resolution,[],[f28,f20]) ).

fof(f20,plain,
    ( ! [X5] : ~ reply(asked,or(isa(asked,knight),isa(other,knight)),X5)
    | ~ spl0_2 ),
    inference(avatar_component_clause,[],[f19]) ).

fof(f19,plain,
    ( spl0_2
  <=> ! [X5] : ~ reply(asked,or(isa(asked,knight),isa(other,knight)),X5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).

fof(f28,plain,
    ( reply(asked,or(isa(asked,knight),isa(other,knight)),yes)
    | ~ spl0_2 ),
    inference(resolution,[],[f7,f20]) ).

fof(f7,axiom,
    ! [X0,X1] :
      ( reply(X0,X1,no)
      | reply(X0,X1,yes) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',yes_or_no) ).

fof(f24,plain,
    ( spl0_1
    | spl0_2
    | spl0_3 ),
    inference(avatar_split_clause,[],[f14,f22,f19,f16]) ).

fof(f14,axiom,
    ! [X6,X7,X5] :
      ( ~ truth(isa(other,X7))
      | ~ reply(asked,or(isa(asked,knight),isa(other,knight)),X5)
      | ~ truth(isa(asked,X6)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_answer) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem    : PUZ035-7 : TPTP v8.1.0. Released v2.0.0.
% 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 : n029.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 11:21:57 EDT 2022
% 0.13/0.34  % CPUTime    : 
% 0.20/0.49  % (8804)ott+11_1:1_drc=off:nwc=5.0:slsq=on:slsqc=1:spb=goal_then_units:to=lpo:i=467:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/467Mi)
% 0.20/0.49  % (8804)First to succeed.
% 0.20/0.49  % (8796)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=75:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/75Mi)
% 0.20/0.50  % (8796)Also succeeded, but the first one will report.
% 0.20/0.50  % (8804)Refutation found. Thanks to Tanya!
% 0.20/0.50  % SZS status Unsatisfiable for theBenchmark
% 0.20/0.50  % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.50  % (8804)------------------------------
% 0.20/0.50  % (8804)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.50  % (8804)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.50  % (8804)Termination reason: Refutation
% 0.20/0.50  
% 0.20/0.50  % (8804)Memory used [KB]: 5373
% 0.20/0.50  % (8804)Time elapsed: 0.058 s
% 0.20/0.50  % (8804)Instructions burned: 1 (million)
% 0.20/0.50  % (8804)------------------------------
% 0.20/0.50  % (8804)------------------------------
% 0.20/0.50  % (8778)Success in time 0.147 s
%------------------------------------------------------------------------------