TSTP Solution File: NLP147-1 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : NLP147-1 : TPTP v8.1.0. Released v2.4.0.
% 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 : n002.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 17:55:43 EDT 2022

% Result   : Unsatisfiable 0.21s 0.52s
% Output   : Refutation 0.21s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :   22
% Syntax   : Number of formulae    :   51 (   3 unt;   0 def)
%            Number of atoms       :  101 (   5 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :  103 (  53   ~;  43   |;   0   &)
%                                         (   7 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   4 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :   22 (  20 usr;   8 prp; 0-4 aty)
%            Number of functors    :    5 (   5 usr;   2 con; 0-2 aty)
%            Number of variables   :   49 (  49   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f365,plain,
    $false,
    inference(avatar_sat_refutation,[],[f114,f126,f171,f176,f258,f357,f364]) ).

fof(f364,plain,
    ( ~ spl7_7
    | ~ spl7_1 ),
    inference(avatar_split_clause,[],[f360,f108,f159]) ).

fof(f159,plain,
    ( spl7_7
  <=> two(skc6,skc7) ),
    introduced(avatar_definition,[new_symbols(naming,[spl7_7])]) ).

fof(f108,plain,
    ( spl7_1
  <=> ! [X0] : ~ member(skc6,X0,skc7) ),
    introduced(avatar_definition,[new_symbols(naming,[spl7_1])]) ).

fof(f360,plain,
    ( ~ two(skc6,skc7)
    | ~ spl7_1 ),
    inference(resolution,[],[f109,f61]) ).

fof(f61,axiom,
    ! [X0,X1] :
      ( member(X0,skf8(X1,X0),X1)
      | ~ two(X0,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause61) ).

fof(f109,plain,
    ( ! [X0] : ~ member(skc6,X0,skc7)
    | ~ spl7_1 ),
    inference(avatar_component_clause,[],[f108]) ).

fof(f357,plain,
    ( ~ spl7_9
    | ~ spl7_5
    | ~ spl7_14 ),
    inference(avatar_split_clause,[],[f354,f255,f124,f173]) ).

fof(f173,plain,
    ( spl7_9
  <=> fellow(skc6,skf8(skc7,skc6)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl7_9])]) ).

fof(f124,plain,
    ( spl7_5
  <=> ! [X1] : frontseat(skc6,skf5(X1)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl7_5])]) ).

fof(f255,plain,
    ( spl7_14
  <=> skf5(skf8(skc7,skc6)) = skf8(skc7,skc6) ),
    introduced(avatar_definition,[new_symbols(naming,[spl7_14])]) ).

fof(f354,plain,
    ( ~ fellow(skc6,skf8(skc7,skc6))
    | ~ spl7_5
    | ~ spl7_14 ),
    inference(superposition,[],[f343,f257]) ).

fof(f257,plain,
    ( skf5(skf8(skc7,skc6)) = skf8(skc7,skc6)
    | ~ spl7_14 ),
    inference(avatar_component_clause,[],[f255]) ).

fof(f343,plain,
    ( ! [X0] : ~ fellow(skc6,skf5(X0))
    | ~ spl7_5 ),
    inference(resolution,[],[f287,f2]) ).

fof(f2,axiom,
    ! [X0,X1] :
      ( man(X0,X1)
      | ~ fellow(X0,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause2) ).

fof(f287,plain,
    ( ! [X0] : ~ man(skc6,skf5(X0))
    | ~ spl7_5 ),
    inference(resolution,[],[f285,f14]) ).

fof(f14,axiom,
    ! [X0,X1] :
      ( male(X0,X1)
      | ~ man(X0,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause14) ).

fof(f285,plain,
    ( ! [X0] : ~ male(skc6,skf5(X0))
    | ~ spl7_5 ),
    inference(resolution,[],[f281,f52]) ).

fof(f52,axiom,
    ! [X0,X1] :
      ( ~ unisex(X0,X1)
      | ~ male(X0,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause52) ).

fof(f281,plain,
    ( ! [X0] : unisex(skc6,skf5(X0))
    | ~ spl7_5 ),
    inference(resolution,[],[f280,f219]) ).

fof(f219,plain,
    ! [X0,X1] :
      ( ~ instrumentality(X0,X1)
      | unisex(X0,X1) ),
    inference(resolution,[],[f137,f30]) ).

fof(f30,axiom,
    ! [X0,X1] :
      ( artifact(X0,X1)
      | ~ instrumentality(X0,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause30) ).

fof(f137,plain,
    ! [X0,X1] :
      ( ~ artifact(X0,X1)
      | unisex(X0,X1) ),
    inference(resolution,[],[f35,f31]) ).

fof(f31,axiom,
    ! [X0,X1] :
      ( object(X0,X1)
      | ~ artifact(X0,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause31) ).

fof(f35,axiom,
    ! [X0,X1] :
      ( ~ object(X0,X1)
      | unisex(X0,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause35) ).

fof(f280,plain,
    ( ! [X0] : instrumentality(skc6,skf5(X0))
    | ~ spl7_5 ),
    inference(resolution,[],[f227,f125]) ).

fof(f125,plain,
    ( ! [X1] : frontseat(skc6,skf5(X1))
    | ~ spl7_5 ),
    inference(avatar_component_clause,[],[f124]) ).

fof(f227,plain,
    ! [X0,X1] :
      ( ~ frontseat(X0,X1)
      | instrumentality(X0,X1) ),
    inference(resolution,[],[f143,f48]) ).

fof(f48,axiom,
    ! [X0,X1] :
      ( seat(X0,X1)
      | ~ frontseat(X0,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause48) ).

fof(f143,plain,
    ! [X0,X1] :
      ( ~ seat(X0,X1)
      | instrumentality(X0,X1) ),
    inference(resolution,[],[f50,f49]) ).

fof(f49,axiom,
    ! [X0,X1] :
      ( furniture(X0,X1)
      | ~ seat(X0,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause49) ).

fof(f50,axiom,
    ! [X0,X1] :
      ( ~ furniture(X0,X1)
      | instrumentality(X0,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause50) ).

fof(f258,plain,
    ( spl7_14
    | ~ spl7_7 ),
    inference(avatar_split_clause,[],[f252,f159,f255]) ).

fof(f252,plain,
    ( ~ two(skc6,skc7)
    | skf5(skf8(skc7,skc6)) = skf8(skc7,skc6) ),
    inference(resolution,[],[f182,f61]) ).

fof(f182,plain,
    ! [X0] :
      ( ~ member(skc6,X0,skc7)
      | skf5(X0) = X0 ),
    inference(resolution,[],[f92,f59]) ).

fof(f59,axiom,
    ! [X2,X3,X0,X1] :
      ( ~ be(X0,X1,X2,X3)
      | X2 = X3 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause59) ).

fof(f92,axiom,
    ! [X0] :
      ( be(skc6,skf6(X0),X0,skf5(X0))
      | ~ member(skc6,X0,skc7) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause92) ).

fof(f176,plain,
    ( ~ spl7_7
    | spl7_9 ),
    inference(avatar_split_clause,[],[f168,f173,f159]) ).

fof(f168,plain,
    ( fellow(skc6,skf8(skc7,skc6))
    | ~ two(skc6,skc7) ),
    inference(resolution,[],[f61,f88]) ).

fof(f88,axiom,
    ! [X0] :
      ( ~ member(skc6,X0,skc7)
      | fellow(skc6,X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause88) ).

fof(f171,plain,
    spl7_7,
    inference(avatar_contradiction_clause,[],[f170]) ).

fof(f170,plain,
    ( $false
    | spl7_7 ),
    inference(resolution,[],[f161,f77]) ).

fof(f77,axiom,
    two(skc6,skc7),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause77) ).

fof(f161,plain,
    ( ~ two(skc6,skc7)
    | spl7_7 ),
    inference(avatar_component_clause,[],[f159]) ).

fof(f126,plain,
    ( spl7_5
    | ~ spl7_2 ),
    inference(avatar_split_clause,[],[f98,f111,f124]) ).

fof(f111,plain,
    ( spl7_2
  <=> sP2 ),
    introduced(avatar_definition,[new_symbols(naming,[spl7_2])]) ).

fof(f98,plain,
    ! [X1] :
      ( ~ sP2
      | frontseat(skc6,skf5(X1)) ),
    inference(general_splitting,[],[f89,f97_D]) ).

fof(f97,plain,
    ! [X0] :
      ( sP2
      | ~ member(skc6,X0,skc7) ),
    inference(cnf_transformation,[],[f97_D]) ).

fof(f97_D,plain,
    ( ! [X0] : ~ member(skc6,X0,skc7)
  <=> ~ sP2 ),
    introduced(general_splitting_component_introduction,[new_symbols(naming,[sP2])]) ).

fof(f89,axiom,
    ! [X0,X1] :
      ( ~ member(skc6,X0,skc7)
      | frontseat(skc6,skf5(X1)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause89) ).

fof(f114,plain,
    ( spl7_1
    | spl7_2 ),
    inference(avatar_split_clause,[],[f97,f111,f108]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem    : NLP147-1 : TPTP v8.1.0. Released v2.4.0.
% 0.11/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.14/0.34  % Computer : n002.cluster.edu
% 0.14/0.34  % Model    : x86_64 x86_64
% 0.14/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34  % Memory   : 8042.1875MB
% 0.14/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34  % CPULimit   : 300
% 0.14/0.34  % WCLimit    : 300
% 0.14/0.34  % DateTime   : Tue Aug 30 04:54:13 EDT 2022
% 0.14/0.34  % CPUTime    : 
% 0.21/0.49  % (24450)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.21/0.51  % (24458)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.21/0.51  % (24450)First to succeed.
% 0.21/0.52  % (24450)Refutation found. Thanks to Tanya!
% 0.21/0.52  % SZS status Unsatisfiable for theBenchmark
% 0.21/0.52  % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.52  % (24450)------------------------------
% 0.21/0.52  % (24450)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.52  % (24450)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.52  % (24450)Termination reason: Refutation
% 0.21/0.52  
% 0.21/0.52  % (24450)Memory used [KB]: 5756
% 0.21/0.52  % (24450)Time elapsed: 0.094 s
% 0.21/0.52  % (24450)Instructions burned: 9 (million)
% 0.21/0.52  % (24450)------------------------------
% 0.21/0.52  % (24450)------------------------------
% 0.21/0.52  % (24439)Success in time 0.172 s
%------------------------------------------------------------------------------