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

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---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_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 18:11:38 EDT 2022

% Result   : Unsatisfiable 1.02s 0.64s
% Output   : Refutation 1.02s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :   18
% Syntax   : Number of formulae    :   52 (   5 unt;   0 def)
%            Number of atoms       :  112 (   0 equ)
%            Maximal formula atoms :    3 (   2 avg)
%            Number of connectives :  117 (  57   ~;  47   |;   0   &)
%                                         (  13 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   3 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :   17 (  16 usr;  14 prp; 0-2 aty)
%            Number of functors    :    6 (   6 usr;   6 con; 0-0 aty)
%            Number of variables   :   17 (  17   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f103,plain,
    $false,
    inference(avatar_sat_refutation,[],[f48,f53,f69,f73,f81,f83,f86,f89,f95,f97,f100,f102]) ).

fof(f102,plain,
    ( ~ spl2_8
    | ~ spl2_11 ),
    inference(avatar_contradiction_clause,[],[f101]) ).

fof(f101,plain,
    ( $false
    | ~ spl2_8
    | ~ spl2_11 ),
    inference(resolution,[],[f52,f68]) ).

fof(f68,plain,
    ( ! [X2] : ~ response(X2)
    | ~ spl2_11 ),
    inference(avatar_component_clause,[],[f67]) ).

fof(f67,plain,
    ( spl2_11
  <=> ! [X2] : ~ response(X2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_11])]) ).

fof(f52,plain,
    ( response(no)
    | ~ spl2_8 ),
    inference(avatar_component_clause,[],[f50]) ).

fof(f50,plain,
    ( spl2_8
  <=> response(no) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_8])]) ).

fof(f100,plain,
    ( ~ spl2_10
    | ~ spl2_12 ),
    inference(avatar_contradiction_clause,[],[f98]) ).

fof(f98,plain,
    ( $false
    | ~ spl2_10
    | ~ spl2_12 ),
    inference(resolution,[],[f61,f72]) ).

fof(f72,plain,
    ( ! [X3] : ~ isa(other,X3)
    | ~ spl2_12 ),
    inference(avatar_component_clause,[],[f71]) ).

fof(f71,plain,
    ( spl2_12
  <=> ! [X3] : ~ isa(other,X3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_12])]) ).

fof(f61,plain,
    ( isa(other,knight)
    | ~ spl2_10 ),
    inference(avatar_component_clause,[],[f59]) ).

fof(f59,plain,
    ( spl2_10
  <=> isa(other,knight) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_10])]) ).

fof(f97,plain,
    spl2_14,
    inference(avatar_contradiction_clause,[],[f96]) ).

fof(f96,plain,
    ( $false
    | spl2_14 ),
    inference(resolution,[],[f94,f14]) ).

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

fof(f94,plain,
    ( ~ person(other)
    | spl2_14 ),
    inference(avatar_component_clause,[],[f92]) ).

fof(f92,plain,
    ( spl2_14
  <=> person(other) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_14])]) ).

fof(f95,plain,
    ( spl2_10
    | ~ spl2_14
    | ~ spl2_12 ),
    inference(avatar_split_clause,[],[f90,f71,f92,f59]) ).

fof(f90,plain,
    ( ~ person(other)
    | isa(other,knight)
    | ~ spl2_12 ),
    inference(resolution,[],[f72,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(f89,plain,
    ( ~ spl2_2
    | ~ spl2_11 ),
    inference(avatar_contradiction_clause,[],[f88]) ).

fof(f88,plain,
    ( $false
    | ~ spl2_2
    | ~ spl2_11 ),
    inference(resolution,[],[f68,f26]) ).

fof(f26,plain,
    ( response(yes)
    | ~ spl2_2 ),
    inference(avatar_component_clause,[],[f25]) ).

fof(f25,plain,
    ( spl2_2
  <=> response(yes) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_2])]) ).

fof(f86,plain,
    ( ~ spl2_5
    | ~ spl2_9 ),
    inference(avatar_contradiction_clause,[],[f84]) ).

fof(f84,plain,
    ( $false
    | ~ spl2_5
    | ~ spl2_9 ),
    inference(resolution,[],[f57,f39]) ).

fof(f39,plain,
    ( ! [X0] : ~ isa(asked,X0)
    | ~ spl2_5 ),
    inference(avatar_component_clause,[],[f38]) ).

fof(f38,plain,
    ( spl2_5
  <=> ! [X0] : ~ isa(asked,X0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_5])]) ).

fof(f57,plain,
    ( isa(asked,knight)
    | ~ spl2_9 ),
    inference(avatar_component_clause,[],[f55]) ).

fof(f55,plain,
    ( spl2_9
  <=> isa(asked,knight) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_9])]) ).

fof(f83,plain,
    spl2_13,
    inference(avatar_contradiction_clause,[],[f82]) ).

fof(f82,plain,
    ( $false
    | spl2_13 ),
    inference(resolution,[],[f80,f13]) ).

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

fof(f80,plain,
    ( ~ person(asked)
    | spl2_13 ),
    inference(avatar_component_clause,[],[f78]) ).

fof(f78,plain,
    ( spl2_13
  <=> person(asked) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_13])]) ).

fof(f81,plain,
    ( ~ spl2_13
    | spl2_9
    | ~ spl2_5 ),
    inference(avatar_split_clause,[],[f74,f38,f55,f78]) ).

fof(f74,plain,
    ( isa(asked,knight)
    | ~ person(asked)
    | ~ spl2_5 ),
    inference(resolution,[],[f1,f39]) ).

fof(f73,plain,
    ( spl2_6
    | spl2_12 ),
    inference(avatar_split_clause,[],[f18,f71,f41]) ).

fof(f41,plain,
    ( spl2_6
  <=> sP1 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_6])]) ).

fof(f18,plain,
    ! [X3] :
      ( ~ isa(other,X3)
      | sP1 ),
    inference(cnf_transformation,[],[f18_D]) ).

fof(f18_D,plain,
    ( ! [X3] : ~ isa(other,X3)
  <=> ~ sP1 ),
    introduced(general_splitting_component_introduction,[new_symbols(naming,[sP1])]) ).

fof(f69,plain,
    ( spl2_7
    | spl2_11 ),
    inference(avatar_split_clause,[],[f16,f67,f45]) ).

fof(f45,plain,
    ( spl2_7
  <=> sP0 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_7])]) ).

fof(f16,plain,
    ! [X2] :
      ( ~ response(X2)
      | sP0 ),
    inference(cnf_transformation,[],[f16_D]) ).

fof(f16_D,plain,
    ( ! [X2] : ~ response(X2)
  <=> ~ sP0 ),
    introduced(general_splitting_component_introduction,[new_symbols(naming,[sP0])]) ).

fof(f53,plain,
    ( spl2_2
    | spl2_8 ),
    inference(avatar_split_clause,[],[f12,f50,f25]) ).

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

fof(f48,plain,
    ( spl2_5
    | ~ spl2_6
    | ~ spl2_7 ),
    inference(avatar_split_clause,[],[f19,f45,f41,f38]) ).

fof(f19,plain,
    ! [X0] :
      ( ~ sP0
      | ~ sP1
      | ~ isa(asked,X0) ),
    inference(general_splitting,[],[f17,f18_D]) ).

fof(f17,plain,
    ! [X3,X0] :
      ( ~ isa(asked,X0)
      | ~ isa(other,X3)
      | ~ sP0 ),
    inference(general_splitting,[],[f15,f16_D]) ).

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

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem    : PUZ035-1 : TPTP v8.1.0. Released v2.0.0.
% 0.12/0.13  % 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 10:50:27 EDT 2022
% 0.20/0.35  % CPUTime    : 
% 0.20/0.36  ipcrm: permission denied for id (327057409)
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% 1.02/0.64  % (2364)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/500Mi)
% 1.02/0.64  % (2349)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/50Mi)
% 1.02/0.64  % (2349)First to succeed.
% 1.02/0.64  % (2341)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 (2998ds/37Mi)
% 1.02/0.64  % (2349)Refutation found. Thanks to Tanya!
% 1.02/0.64  % SZS status Unsatisfiable for theBenchmark
% 1.02/0.64  % SZS output start Proof for theBenchmark
% See solution above
% 1.02/0.64  % (2349)------------------------------
% 1.02/0.64  % (2349)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.02/0.64  % (2349)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.02/0.64  % (2349)Termination reason: Refutation
% 1.02/0.64  
% 1.02/0.64  % (2349)Memory used [KB]: 5373
% 1.02/0.64  % (2349)Time elapsed: 0.071 s
% 1.02/0.64  % (2349)Instructions burned: 2 (million)
% 1.02/0.64  % (2349)------------------------------
% 1.02/0.64  % (2349)------------------------------
% 1.02/0.64  % (2205)Success in time 0.287 s
%------------------------------------------------------------------------------