TSTP Solution File: PUZ035-4 by SnakeForV---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : PUZ035-4 : 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_uns --cores 0 -t %d %s

% Computer : n014.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 18:10:48 EDT 2022

% Result   : Unsatisfiable 0.21s 0.50s
% Output   : Refutation 0.21s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :   10
% Syntax   : Number of formulae    :   30 (   5 unt;   0 def)
%            Number of atoms       :   62 (   0 equ)
%            Maximal formula atoms :    3 (   2 avg)
%            Number of connectives :   65 (  33   ~;  27   |;   0   &)
%                                         (   5 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   3 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :    9 (   8 usr;   6 prp; 0-2 aty)
%            Number of functors    :    7 (   7 usr;   4 con; 0-2 aty)
%            Number of variables   :   10 (  10   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f66,plain,
    $false,
    inference(avatar_sat_refutation,[],[f24,f33,f38,f42,f47,f65]) ).

fof(f65,plain,
    ( ~ spl0_1
    | ~ spl0_5 ),
    inference(avatar_contradiction_clause,[],[f64]) ).

fof(f64,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_5 ),
    inference(subsumption_resolution,[],[f32,f17]) ).

fof(f17,plain,
    ( ! [X1] : ~ says(asked,X1)
    | ~ spl0_1 ),
    inference(avatar_component_clause,[],[f16]) ).

fof(f16,plain,
    ( spl0_1
  <=> ! [X1] : ~ says(asked,X1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).

fof(f32,plain,
    ( says(asked,or(isa(asked,knight),isa(other,knight)))
    | ~ spl0_5 ),
    inference(avatar_component_clause,[],[f30]) ).

fof(f30,plain,
    ( spl0_5
  <=> says(asked,or(isa(asked,knight),isa(other,knight))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).

fof(f47,plain,
    ( ~ spl0_1
    | ~ spl0_4 ),
    inference(avatar_contradiction_clause,[],[f43]) ).

fof(f43,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_4 ),
    inference(resolution,[],[f28,f17]) ).

fof(f28,plain,
    ( says(asked,not(or(isa(asked,knight),isa(other,knight))))
    | ~ spl0_4 ),
    inference(avatar_component_clause,[],[f26]) ).

fof(f26,plain,
    ( spl0_4
  <=> says(asked,not(or(isa(asked,knight),isa(other,knight)))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).

fof(f42,plain,
    ~ spl0_3,
    inference(avatar_contradiction_clause,[],[f41]) ).

fof(f41,plain,
    ( $false
    | ~ spl0_3 ),
    inference(subsumption_resolution,[],[f40,f23]) ).

fof(f23,plain,
    ( ! [X6] : ~ truth(isa(asked,X6))
    | ~ spl0_3 ),
    inference(avatar_component_clause,[],[f22]) ).

fof(f22,plain,
    ( spl0_3
  <=> ! [X6] : ~ truth(isa(asked,X6)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).

fof(f40,plain,
    ( truth(isa(asked,knight))
    | ~ spl0_3 ),
    inference(subsumption_resolution,[],[f39,f12]) ).

fof(f12,axiom,
    person(asked),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',asked_person) ).

fof(f39,plain,
    ( ~ person(asked)
    | truth(isa(asked,knight))
    | ~ spl0_3 ),
    inference(resolution,[],[f23,f1]) ).

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

fof(f38,plain,
    ~ spl0_2,
    inference(avatar_contradiction_clause,[],[f37]) ).

fof(f37,plain,
    ( $false
    | ~ spl0_2 ),
    inference(subsumption_resolution,[],[f36,f20]) ).

fof(f20,plain,
    ( ! [X7] : ~ truth(isa(other,X7))
    | ~ spl0_2 ),
    inference(avatar_component_clause,[],[f19]) ).

fof(f19,plain,
    ( spl0_2
  <=> ! [X7] : ~ truth(isa(other,X7)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).

fof(f36,plain,
    ( truth(isa(other,knight))
    | ~ spl0_2 ),
    inference(subsumption_resolution,[],[f34,f13]) ).

fof(f13,axiom,
    person(other),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',other_person) ).

fof(f34,plain,
    ( ~ person(other)
    | truth(isa(other,knight))
    | ~ spl0_2 ),
    inference(resolution,[],[f1,f20]) ).

fof(f33,plain,
    ( spl0_4
    | spl0_5 ),
    inference(avatar_split_clause,[],[f5,f30,f26]) ).

fof(f5,axiom,
    ( says(asked,or(isa(asked,knight),isa(other,knight)))
    | says(asked,not(or(isa(asked,knight),isa(other,knight)))) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',one_is_knight_answer) ).

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

fof(f14,axiom,
    ! [X1,X6,X7] :
      ( ~ truth(isa(asked,X6))
      | ~ truth(isa(other,X7))
      | ~ says(asked,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_answer) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem    : PUZ035-4 : TPTP v8.1.0. Released v2.0.0.
% 0.11/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.14/0.35  % Computer : n014.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit   : 300
% 0.14/0.35  % WCLimit    : 300
% 0.14/0.35  % DateTime   : Tue Aug 30 10:44:33 EDT 2022
% 0.14/0.35  % CPUTime    : 
% 0.21/0.49  % (28337)lrs+10_1:1_kws=precedence:lwlo=on:tgt=ground:i=99966:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99966Mi)
% 0.21/0.50  % (28337)First to succeed.
% 0.21/0.50  % (28363)lrs+1010_1:16_acc=on:anc=all:avsq=on:awrs=converge:s2a=on:sac=on:sos=on:ss=axioms:i=81:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/81Mi)
% 0.21/0.50  % (28337)Refutation found. Thanks to Tanya!
% 0.21/0.50  % SZS status Unsatisfiable for theBenchmark
% 0.21/0.50  % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.50  % (28337)------------------------------
% 0.21/0.50  % (28337)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.50  % (28337)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.50  % (28337)Termination reason: Refutation
% 0.21/0.50  
% 0.21/0.50  % (28337)Memory used [KB]: 5884
% 0.21/0.50  % (28337)Time elapsed: 0.088 s
% 0.21/0.50  % (28337)Instructions burned: 2 (million)
% 0.21/0.50  % (28337)------------------------------
% 0.21/0.50  % (28337)------------------------------
% 0.21/0.50  % (28336)Success in time 0.145 s
%------------------------------------------------------------------------------