TSTP Solution File: PUZ035-2 by SnakeForV---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : PUZ035-2 : 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 : n024.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 0.20s 0.51s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    8
% Syntax   : Number of formulae    :   24 (   6 unt;   0 def)
%            Number of atoms       :   47 (   0 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   50 (  27   ~;  20   |;   0   &)
%                                         (   3 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   3 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    7 (   6 usr;   4 prp; 0-2 aty)
%            Number of functors    :    6 (   6 usr;   6 con; 0-0 aty)
%            Number of variables   :   10 (  10   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f92,plain,
    $false,
    inference(avatar_sat_refutation,[],[f26,f55,f78,f87]) ).

fof(f87,plain,
    ~ spl0_1,
    inference(avatar_contradiction_clause,[],[f86]) ).

fof(f86,plain,
    ( $false
    | ~ spl0_1 ),
    inference(subsumption_resolution,[],[f80,f19]) ).

fof(f19,plain,
    ( ! [X2] : ~ response(X2)
    | ~ spl0_1 ),
    inference(avatar_component_clause,[],[f18]) ).

fof(f18,plain,
    ( spl0_1
  <=> ! [X2] : ~ response(X2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).

fof(f80,plain,
    ( response(no)
    | ~ spl0_1 ),
    inference(resolution,[],[f19,f13]) ).

fof(f13,axiom,
    ( response(yes)
    | response(no) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',two_answers) ).

fof(f78,plain,
    ~ spl0_3,
    inference(avatar_contradiction_clause,[],[f77]) ).

fof(f77,plain,
    ( $false
    | ~ spl0_3 ),
    inference(subsumption_resolution,[],[f76,f25]) ).

fof(f25,plain,
    ( ! [X3] : ~ isa(other,X3)
    | ~ spl0_3 ),
    inference(avatar_component_clause,[],[f24]) ).

fof(f24,plain,
    ( spl0_3
  <=> ! [X3] : ~ isa(other,X3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).

fof(f76,plain,
    ( isa(other,knave)
    | ~ spl0_3 ),
    inference(subsumption_resolution,[],[f64,f15]) ).

fof(f15,axiom,
    person(other),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',other_person) ).

fof(f64,plain,
    ( ~ person(other)
    | isa(other,knave)
    | ~ spl0_3 ),
    inference(resolution,[],[f25,f1]) ).

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

fof(f55,plain,
    ~ spl0_2,
    inference(avatar_contradiction_clause,[],[f54]) ).

fof(f54,plain,
    ( $false
    | ~ spl0_2 ),
    inference(subsumption_resolution,[],[f53,f14]) ).

fof(f14,axiom,
    person(asked),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',asked_person) ).

fof(f53,plain,
    ( ~ person(asked)
    | ~ spl0_2 ),
    inference(subsumption_resolution,[],[f31,f22]) ).

fof(f22,plain,
    ( ! [X0] : ~ isa(asked,X0)
    | ~ spl0_2 ),
    inference(avatar_component_clause,[],[f21]) ).

fof(f21,plain,
    ( spl0_2
  <=> ! [X0] : ~ isa(asked,X0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).

fof(f31,plain,
    ( isa(asked,knight)
    | ~ person(asked)
    | ~ spl0_2 ),
    inference(resolution,[],[f22,f1]) ).

fof(f26,plain,
    ( spl0_1
    | spl0_2
    | spl0_3 ),
    inference(avatar_split_clause,[],[f16,f24,f21,f18]) ).

fof(f16,axiom,
    ! [X2,X3,X0] :
      ( ~ isa(other,X3)
      | ~ isa(asked,X0)
      | ~ response(X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_answer) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem    : PUZ035-2 : TPTP v8.1.0. Released v2.0.0.
% 0.07/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.13/0.35  % Computer : n024.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit   : 300
% 0.13/0.35  % WCLimit    : 300
% 0.13/0.35  % DateTime   : Tue Aug 30 10:42:49 EDT 2022
% 0.13/0.35  % CPUTime    : 
% 0.20/0.50  % (26149)lrs+1011_1:1_atotf=0.0306256:ep=RST:mep=off:nm=0:sos=all:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.20/0.50  % (26149)First to succeed.
% 0.20/0.51  % (26149)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  % (26149)------------------------------
% 0.20/0.51  % (26149)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.51  % (26149)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.51  % (26149)Termination reason: Refutation
% 0.20/0.51  
% 0.20/0.51  % (26149)Memory used [KB]: 5884
% 0.20/0.51  % (26149)Time elapsed: 0.081 s
% 0.20/0.51  % (26149)Instructions burned: 2 (million)
% 0.20/0.51  % (26149)------------------------------
% 0.20/0.51  % (26149)------------------------------
% 0.20/0.51  % (26140)Success in time 0.151 s
%------------------------------------------------------------------------------