TSTP Solution File: PUZ035-1 by SnakeForV---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : PUZ035-1 : 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 : n023.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 18:10:47 EDT 2022

% Result   : Unsatisfiable 1.38s 0.54s
% Output   : Refutation 1.38s
% 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 :   49 (  26   ~;  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(f55,plain,
    $false,
    inference(avatar_sat_refutation,[],[f25,f36,f40,f54]) ).

fof(f54,plain,
    ~ spl0_1,
    inference(avatar_contradiction_clause,[],[f53]) ).

fof(f53,plain,
    ( $false
    | ~ spl0_1 ),
    inference(subsumption_resolution,[],[f52,f18]) ).

fof(f18,plain,
    ( ! [X0] : ~ isa(asked,X0)
    | ~ spl0_1 ),
    inference(avatar_component_clause,[],[f17]) ).

fof(f17,plain,
    ( spl0_1
  <=> ! [X0] : ~ isa(asked,X0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).

fof(f52,plain,
    ( isa(asked,knave)
    | ~ spl0_1 ),
    inference(subsumption_resolution,[],[f47,f13]) ).

fof(f13,axiom,
    person(asked),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',asked_person) ).

fof(f47,plain,
    ( ~ person(asked)
    | isa(asked,knave)
    | ~ spl0_1 ),
    inference(resolution,[],[f18,f1]) ).

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

fof(f40,plain,
    ~ spl0_3,
    inference(avatar_contradiction_clause,[],[f39]) ).

fof(f39,plain,
    ( $false
    | ~ spl0_3 ),
    inference(subsumption_resolution,[],[f38,f24]) ).

fof(f24,plain,
    ( ! [X2] : ~ response(X2)
    | ~ spl0_3 ),
    inference(avatar_component_clause,[],[f23]) ).

fof(f23,plain,
    ( spl0_3
  <=> ! [X2] : ~ response(X2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).

fof(f38,plain,
    ( response(no)
    | ~ spl0_3 ),
    inference(subsumption_resolution,[],[f12,f24]) ).

fof(f12,axiom,
    ( response(no)
    | response(yes) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',two_answers) ).

fof(f36,plain,
    ~ spl0_2,
    inference(avatar_contradiction_clause,[],[f35]) ).

fof(f35,plain,
    ( $false
    | ~ spl0_2 ),
    inference(subsumption_resolution,[],[f34,f21]) ).

fof(f21,plain,
    ( ! [X3] : ~ isa(other,X3)
    | ~ spl0_2 ),
    inference(avatar_component_clause,[],[f20]) ).

fof(f20,plain,
    ( spl0_2
  <=> ! [X3] : ~ isa(other,X3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).

fof(f34,plain,
    ( isa(other,knight)
    | ~ spl0_2 ),
    inference(subsumption_resolution,[],[f30,f14]) ).

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

fof(f30,plain,
    ( ~ person(other)
    | isa(other,knight)
    | ~ spl0_2 ),
    inference(resolution,[],[f21,f1]) ).

fof(f25,plain,
    ( spl0_1
    | spl0_2
    | spl0_3 ),
    inference(avatar_split_clause,[],[f15,f23,f20,f17]) ).

fof(f15,axiom,
    ! [X2,X3,X0] :
      ( ~ response(X2)
      | ~ isa(other,X3)
      | ~ isa(asked,X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_answer) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem    : PUZ035-1 : 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
% 0.13/0.34  % Computer : n023.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
% 0.13/0.35  % DateTime   : Tue Aug 30 11:01:35 EDT 2022
% 0.13/0.35  % CPUTime    : 
% 1.38/0.54  % (17749)lrs+1011_1:1_aac=none:bsr=unit_only:ep=R:sac=on:sos=all:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 1.38/0.54  % (17741)fmb+10_1:1_fmbes=contour:fmbsr=2.0:fmbsso=input_usage:i=6:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 1.38/0.54  % (17731)dis+1011_1:16_fsr=off:nwc=2.0:i=25:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/25Mi)
% 1.38/0.54  % (17732)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=49:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/49Mi)
% 1.38/0.54  % (17749)First to succeed.
% 1.38/0.54  % (17749)Refutation found. Thanks to Tanya!
% 1.38/0.54  % SZS status Unsatisfiable for theBenchmark
% 1.38/0.54  % SZS output start Proof for theBenchmark
% See solution above
% 1.38/0.54  % (17749)------------------------------
% 1.38/0.54  % (17749)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.38/0.54  % (17749)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.38/0.54  % (17749)Termination reason: Refutation
% 1.38/0.54  
% 1.38/0.54  % (17749)Memory used [KB]: 5884
% 1.38/0.54  % (17749)Time elapsed: 0.070 s
% 1.38/0.54  % (17749)Instructions burned: 2 (million)
% 1.38/0.54  % (17749)------------------------------
% 1.38/0.54  % (17749)------------------------------
% 1.38/0.54  % (17725)Success in time 0.19 s
%------------------------------------------------------------------------------