TSTP Solution File: SET154-6 by SnakeForV---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : SET154-6 : TPTP v8.1.0. Bugfixed v2.1.0.
% 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 : n022.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 18:19:33 EDT 2022

% Result   : Unsatisfiable 0.20s 0.50s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :   11
% Syntax   : Number of formulae    :   24 (  13 unt;   0 def)
%            Number of atoms       :   38 (   5 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   33 (  19   ~;  13   |;   0   &)
%                                         (   1 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   3 avg)
%            Maximal term depth    :    6 (   2 avg)
%            Number of predicates  :    5 (   3 usr;   1 prp; 0-2 aty)
%            Number of functors    :    6 (   6 usr;   2 con; 0-2 aty)
%            Number of variables   :   23 (  23   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f391,plain,
    $false,
    inference(subsumption_resolution,[],[f387,f318]) ).

fof(f318,plain,
    member(not_subclass_element(universal_class,complement(intersection(complement(complement(x)),complement(x)))),complement(complement(x))),
    inference(resolution,[],[f257,f21]) ).

fof(f21,axiom,
    ! [X0,X1,X4] :
      ( member(X4,X0)
      | ~ member(X4,intersection(X0,X1)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',intersection1) ).

fof(f257,plain,
    member(not_subclass_element(universal_class,complement(intersection(complement(complement(x)),complement(x)))),intersection(complement(complement(x)),complement(x))),
    inference(subsumption_resolution,[],[f248,f212]) ).

fof(f212,plain,
    member(not_subclass_element(universal_class,complement(intersection(complement(complement(x)),complement(x)))),universal_class),
    inference(resolution,[],[f211,f2]) ).

fof(f2,axiom,
    ! [X0,X1] :
      ( member(not_subclass_element(X0,X1),X0)
      | subclass(X0,X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_subclass_members1) ).

fof(f211,plain,
    ~ subclass(universal_class,complement(intersection(complement(complement(x)),complement(x)))),
    inference(subsumption_resolution,[],[f210,f4]) ).

fof(f4,axiom,
    ! [X0] : subclass(X0,universal_class),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',class_elements_are_sets) ).

fof(f210,plain,
    ( ~ subclass(universal_class,complement(intersection(complement(complement(x)),complement(x))))
    | ~ subclass(complement(intersection(complement(complement(x)),complement(x))),universal_class) ),
    inference(resolution,[],[f186,f195]) ).

fof(f195,plain,
    ! [X0,X1] :
      ( ~ subclass(X1,X0)
      | sQ0_eqProxy(X0,X1)
      | ~ subclass(X0,X1) ),
    inference(equality_proxy_replacement,[],[f7,f181]) ).

fof(f181,plain,
    ! [X0,X1] :
      ( sQ0_eqProxy(X0,X1)
    <=> X0 = X1 ),
    introduced(equality_proxy_definition,[new_symbols(naming,[sQ0_eqProxy])]) ).

fof(f7,axiom,
    ! [X0,X1] :
      ( ~ subclass(X0,X1)
      | X0 = X1
      | ~ subclass(X1,X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',subclass_implies_equal) ).

fof(f186,plain,
    ~ sQ0_eqProxy(universal_class,complement(intersection(complement(complement(x)),complement(x)))),
    inference(equality_proxy_replacement,[],[f136,f181]) ).

fof(f136,plain,
    universal_class != complement(intersection(complement(complement(x)),complement(x))),
    inference(definition_unfolding,[],[f113,f26]) ).

fof(f26,axiom,
    ! [X0,X1] : complement(intersection(complement(X0),complement(X1))) = union(X0,X1),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',union) ).

fof(f113,axiom,
    universal_class != union(complement(x),x),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_union_with_complement_1) ).

fof(f248,plain,
    ( ~ member(not_subclass_element(universal_class,complement(intersection(complement(complement(x)),complement(x)))),universal_class)
    | member(not_subclass_element(universal_class,complement(intersection(complement(complement(x)),complement(x)))),intersection(complement(complement(x)),complement(x))) ),
    inference(resolution,[],[f213,f25]) ).

fof(f25,axiom,
    ! [X0,X4] :
      ( member(X4,complement(X0))
      | ~ member(X4,universal_class)
      | member(X4,X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',complement2) ).

fof(f213,plain,
    ~ member(not_subclass_element(universal_class,complement(intersection(complement(complement(x)),complement(x)))),complement(intersection(complement(complement(x)),complement(x)))),
    inference(resolution,[],[f211,f3]) ).

fof(f3,axiom,
    ! [X0,X1] :
      ( subclass(X0,X1)
      | ~ member(not_subclass_element(X0,X1),X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_subclass_members2) ).

fof(f387,plain,
    ~ member(not_subclass_element(universal_class,complement(intersection(complement(complement(x)),complement(x)))),complement(complement(x))),
    inference(resolution,[],[f319,f24]) ).

fof(f24,axiom,
    ! [X0,X4] :
      ( ~ member(X4,X0)
      | ~ member(X4,complement(X0)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',complement1) ).

fof(f319,plain,
    member(not_subclass_element(universal_class,complement(intersection(complement(complement(x)),complement(x)))),complement(x)),
    inference(resolution,[],[f257,f22]) ).

fof(f22,axiom,
    ! [X0,X1,X4] :
      ( ~ member(X4,intersection(X0,X1))
      | member(X4,X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',intersection2) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem    : SET154-6 : TPTP v8.1.0. Bugfixed v2.1.0.
% 0.03/0.13  % 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 : n022.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 13:24:26 EDT 2022
% 0.13/0.34  % CPUTime    : 
% 0.20/0.47  % (25528)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)
% 0.20/0.47  % (25512)lrs+1010_1:4_amm=off:bce=on:sd=1:sos=on:ss=included:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.47  % (25512)Refutation not found, incomplete strategy% (25512)------------------------------
% 0.20/0.47  % (25512)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.47  % (25512)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.47  % (25512)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.47  
% 0.20/0.47  % (25512)Memory used [KB]: 5884
% 0.20/0.47  % (25512)Time elapsed: 0.062 s
% 0.20/0.47  % (25512)Instructions burned: 2 (million)
% 0.20/0.47  % (25512)------------------------------
% 0.20/0.47  % (25512)------------------------------
% 0.20/0.49  % (25528)First to succeed.
% 0.20/0.50  % (25528)Refutation found. Thanks to Tanya!
% 0.20/0.50  % SZS status Unsatisfiable for theBenchmark
% 0.20/0.50  % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.50  % (25528)------------------------------
% 0.20/0.50  % (25528)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.50  % (25528)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.50  % (25528)Termination reason: Refutation
% 0.20/0.50  
% 0.20/0.50  % (25528)Memory used [KB]: 6268
% 0.20/0.50  % (25528)Time elapsed: 0.087 s
% 0.20/0.50  % (25528)Instructions burned: 18 (million)
% 0.20/0.50  % (25528)------------------------------
% 0.20/0.50  % (25528)------------------------------
% 0.20/0.50  % (25504)Success in time 0.15 s
%------------------------------------------------------------------------------