TSTP Solution File: SET134-6 by Vampire---4.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SET134-6 : TPTP v8.1.2. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% Computer : n009.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 : Thu Aug 31 15:38:13 EDT 2023
% Result : Unsatisfiable 9.01s 1.66s
% Output : Refutation 9.01s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 10
% Syntax : Number of formulae : 24 ( 16 unt; 0 def)
% Number of atoms : 34 ( 7 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 24 ( 14 ~; 10 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 12 ( 12 usr; 5 con; 0-2 aty)
% Number of variables : 23 (; 23 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f44221,plain,
$false,
inference(subsumption_resolution,[],[f44219,f4737]) ).
fof(f4737,plain,
~ member(u,null_class),
inference(duplicate_literal_removal,[],[f4690]) ).
fof(f4690,plain,
( ~ member(u,null_class)
| ~ member(u,null_class) ),
inference(superposition,[],[f105,f468]) ).
fof(f468,plain,
( null_class = complement(universal_class)
| ~ member(u,null_class) ),
inference(superposition,[],[f206,f67]) ).
fof(f67,axiom,
! [X0] :
( null_class = intersection(X0,regular(X0))
| null_class = X0 ),
file('/export/starexec/sandbox2/tmp/tmp.K8kxYKfKyu/Vampire---4.8_7412',regularity2) ).
fof(f206,plain,
! [X0] : ~ member(u,intersection(complement(universal_class),X0)),
inference(unit_resulting_resolution,[],[f105,f21]) ).
fof(f21,axiom,
! [X0,X1,X4] :
( ~ member(X4,intersection(X0,X1))
| member(X4,X0) ),
file('/export/starexec/sandbox2/tmp/tmp.K8kxYKfKyu/Vampire---4.8_7412',intersection1) ).
fof(f105,plain,
~ member(u,complement(universal_class)),
inference(unit_resulting_resolution,[],[f93,f24]) ).
fof(f24,axiom,
! [X0,X4] :
( ~ member(X4,complement(X0))
| ~ member(X4,X0) ),
file('/export/starexec/sandbox2/tmp/tmp.K8kxYKfKyu/Vampire---4.8_7412',complement1) ).
fof(f93,axiom,
member(u,universal_class),
file('/export/starexec/sandbox2/tmp/tmp.K8kxYKfKyu/Vampire---4.8_7412',prove_corollary_2_to_member_of_triple_1) ).
fof(f44219,plain,
member(u,null_class),
inference(superposition,[],[f43641,f94]) ).
fof(f94,axiom,
null_class = set_builder(u,set_builder(y,set_builder(z,null_class))),
file('/export/starexec/sandbox2/tmp/tmp.K8kxYKfKyu/Vampire---4.8_7412',prove_corollary_2_to_member_of_triple_2) ).
fof(f43641,plain,
! [X0] : member(u,set_builder(u,X0)),
inference(forward_demodulation,[],[f43495,f92]) ).
fof(f92,axiom,
! [X0,X1] : union(singleton(X0),X1) = set_builder(X0,X1),
file('/export/starexec/sandbox2/tmp/tmp.K8kxYKfKyu/Vampire---4.8_7412',definition_of_set_builder) ).
fof(f43495,plain,
! [X0] : member(u,union(singleton(u),X0)),
inference(unit_resulting_resolution,[],[f93,f209,f608]) ).
fof(f608,plain,
! [X2,X0,X1] :
( member(X2,intersection(complement(X0),complement(X1)))
| member(X2,union(X0,X1))
| ~ member(X2,universal_class) ),
inference(superposition,[],[f25,f26]) ).
fof(f26,axiom,
! [X0,X1] : complement(intersection(complement(X0),complement(X1))) = union(X0,X1),
file('/export/starexec/sandbox2/tmp/tmp.K8kxYKfKyu/Vampire---4.8_7412',union) ).
fof(f25,axiom,
! [X0,X4] :
( member(X4,complement(X0))
| member(X4,X0)
| ~ member(X4,universal_class) ),
file('/export/starexec/sandbox2/tmp/tmp.K8kxYKfKyu/Vampire---4.8_7412',complement2) ).
fof(f209,plain,
! [X0] : ~ member(u,intersection(complement(singleton(u)),X0)),
inference(unit_resulting_resolution,[],[f171,f21]) ).
fof(f171,plain,
~ member(u,complement(singleton(u))),
inference(unit_resulting_resolution,[],[f170,f24]) ).
fof(f170,plain,
member(u,singleton(u)),
inference(superposition,[],[f167,f12]) ).
fof(f12,axiom,
! [X0] : unordered_pair(X0,X0) = singleton(X0),
file('/export/starexec/sandbox2/tmp/tmp.K8kxYKfKyu/Vampire---4.8_7412',singleton_set) ).
fof(f167,plain,
! [X0] : member(u,unordered_pair(u,X0)),
inference(unit_resulting_resolution,[],[f93,f9]) ).
fof(f9,axiom,
! [X0,X1] :
( member(X0,unordered_pair(X0,X1))
| ~ member(X0,universal_class) ),
file('/export/starexec/sandbox2/tmp/tmp.K8kxYKfKyu/Vampire---4.8_7412',unordered_pair2) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : SET134-6 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.14/0.15 % Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.15/0.35 % Computer : n009.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 300
% 0.15/0.35 % DateTime : Sat Aug 26 13:54:35 EDT 2023
% 0.15/0.36 % CPUTime :
% 0.15/0.36 This is a CNF_UNS_RFO_SEQ_NHN problem
% 0.15/0.36 Running vampire_casc2023 --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/tmp/tmp.K8kxYKfKyu/Vampire---4.8_7412
% 0.21/0.36 % (7520)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.42 % (7526)lrs-1010_2_av=off:bce=on:cond=on:er=filter:fde=unused:lcm=predicate:nm=2:nwc=3.0:sims=off:sp=frequency:urr=on:stl=188_520 on Vampire---4 for (520ds/0Mi)
% 0.21/0.42 % (7524)lrs+2_5:4_anc=none:br=off:fde=unused:gsp=on:nm=32:nwc=1.3:sims=off:sos=all:urr=on:stl=62_558 on Vampire---4 for (558ds/0Mi)
% 0.21/0.42 % (7525)lrs-1010_20_afr=on:anc=all_dependent:bs=on:bsr=on:cond=on:er=known:fde=none:nm=4:nwc=1.3:sims=off:sp=frequency:urr=on:stl=62_533 on Vampire---4 for (533ds/0Mi)
% 0.21/0.42 % (7521)lrs+1010_20_av=off:bd=off:bs=on:bsr=on:bce=on:flr=on:fde=none:gsp=on:nwc=3.0:tgt=ground:urr=ec_only:stl=125_1192 on Vampire---4 for (1192ds/0Mi)
% 0.21/0.42 % (7522)ott+3_2:7_add=large:amm=off:anc=all:bce=on:drc=off:fsd=off:fde=unused:gs=on:irw=on:lcm=predicate:lma=on:msp=off:nwc=10.0:sac=on_598 on Vampire---4 for (598ds/0Mi)
% 0.21/0.42 % (7527)ott+1010_1_aac=none:bce=on:ep=RS:fsd=off:nm=4:nwc=2.0:nicw=on:sas=z3:sims=off_453 on Vampire---4 for (453ds/0Mi)
% 0.21/0.42 % (7523)lrs+11_10:1_bs=unit_only:drc=off:fsd=off:fde=none:gs=on:msp=off:nm=16:nwc=2.0:nicw=on:sos=all:sac=on:sp=reverse_frequency:stl=62_575 on Vampire---4 for (575ds/0Mi)
% 9.01/1.66 % (7526)First to succeed.
% 9.01/1.66 % (7526)Refutation found. Thanks to Tanya!
% 9.01/1.66 % SZS status Unsatisfiable for Vampire---4
% 9.01/1.66 % SZS output start Proof for Vampire---4
% See solution above
% 9.01/1.66 % (7526)------------------------------
% 9.01/1.66 % (7526)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 9.01/1.66 % (7526)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 9.01/1.66 % (7526)Termination reason: Refutation
% 9.01/1.66
% 9.01/1.66 % (7526)Memory used [KB]: 51427
% 9.01/1.66 % (7526)Time elapsed: 1.235 s
% 9.01/1.66 % (7526)------------------------------
% 9.01/1.66 % (7526)------------------------------
% 9.01/1.66 % (7520)Success in time 1.298 s
% 9.01/1.66 % Vampire---4.8 exiting
%------------------------------------------------------------------------------