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