TSTP Solution File: SET510-6 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SET510-6 : 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 : n015.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 15:43:01 EDT 2023
% Result : Unsatisfiable 0.22s 0.48s
% Output : Refutation 0.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 13
% Syntax : Number of formulae : 40 ( 12 unt; 0 def)
% Number of atoms : 75 ( 24 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 63 ( 28 ~; 35 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 3 con; 0-2 aty)
% Number of variables : 41 (; 41 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1235,plain,
$false,
inference(unit_resulting_resolution,[],[f960,f1080,f1230]) ).
fof(f1230,plain,
! [X0,X1] :
( ~ member(X1,null_class)
| ~ subclass(null_class,X0) ),
inference(subsumption_resolution,[],[f1187,f1]) ).
fof(f1,axiom,
! [X2,X0,X1] :
( ~ member(X2,X0)
| ~ subclass(X0,X1)
| member(X2,X1) ),
file('/export/starexec/sandbox/tmp/tmp.aHifxMoHqe/Vampire---4.8_28769',subclass_members) ).
fof(f1187,plain,
! [X0,X1] :
( ~ member(X1,null_class)
| ~ member(X1,X0)
| ~ subclass(null_class,X0) ),
inference(superposition,[],[f24,f1112]) ).
fof(f1112,plain,
! [X10] :
( null_class = complement(X10)
| ~ subclass(null_class,X10) ),
inference(forward_literal_rewriting,[],[f1098,f1091]) ).
fof(f1091,plain,
! [X1] :
( ~ subclass(null_class,X1)
| member(universal_class,X1) ),
inference(resolution,[],[f1080,f1]) ).
fof(f1098,plain,
! [X10] :
( null_class = complement(X10)
| ~ member(universal_class,X10) ),
inference(resolution,[],[f1090,f24]) ).
fof(f1090,plain,
! [X0] :
( member(universal_class,X0)
| null_class = X0 ),
inference(resolution,[],[f1080,f307]) ).
fof(f307,plain,
! [X4,X5] :
( ~ member(X5,null_class)
| member(X5,X4)
| null_class = X4 ),
inference(superposition,[],[f21,f67]) ).
fof(f67,axiom,
! [X0] :
( null_class = intersection(X0,regular(X0))
| null_class = X0 ),
file('/export/starexec/sandbox/tmp/tmp.aHifxMoHqe/Vampire---4.8_28769',regularity2) ).
fof(f21,axiom,
! [X0,X1,X4] :
( ~ member(X4,intersection(X0,X1))
| member(X4,X0) ),
file('/export/starexec/sandbox/tmp/tmp.aHifxMoHqe/Vampire---4.8_28769',intersection1) ).
fof(f24,axiom,
! [X0,X4] :
( ~ member(X4,complement(X0))
| ~ member(X4,X0) ),
file('/export/starexec/sandbox/tmp/tmp.aHifxMoHqe/Vampire---4.8_28769',complement1) ).
fof(f1080,plain,
member(universal_class,null_class),
inference(subsumption_resolution,[],[f1071,f881]) ).
fof(f881,plain,
member(universal_class,universal_class),
inference(resolution,[],[f874,f4]) ).
fof(f4,axiom,
! [X0] : subclass(X0,universal_class),
file('/export/starexec/sandbox/tmp/tmp.aHifxMoHqe/Vampire---4.8_28769',class_elements_are_sets) ).
fof(f874,plain,
! [X0] :
( ~ subclass(sF0,X0)
| member(universal_class,X0) ),
inference(resolution,[],[f872,f1]) ).
fof(f872,plain,
member(universal_class,sF0),
inference(subsumption_resolution,[],[f870,f119]) ).
fof(f119,plain,
null_class != sF0,
inference(definition_folding,[],[f113,f118]) ).
fof(f118,plain,
singleton(universal_class) = sF0,
introduced(function_definition,[]) ).
fof(f113,axiom,
null_class != singleton(universal_class),
file('/export/starexec/sandbox/tmp/tmp.aHifxMoHqe/Vampire---4.8_28769',prove_corollary_to_singleton_is_null_class_1) ).
fof(f870,plain,
( member(universal_class,sF0)
| null_class = sF0 ),
inference(superposition,[],[f66,f868]) ).
fof(f868,plain,
universal_class = regular(sF0),
inference(subsumption_resolution,[],[f864,f119]) ).
fof(f864,plain,
( universal_class = regular(sF0)
| null_class = sF0 ),
inference(resolution,[],[f838,f66]) ).
fof(f838,plain,
! [X0] :
( ~ member(X0,sF0)
| universal_class = X0 ),
inference(superposition,[],[f831,f118]) ).
fof(f831,plain,
! [X0,X1] :
( ~ member(X1,singleton(X0))
| X0 = X1 ),
inference(duplicate_literal_removal,[],[f830]) ).
fof(f830,plain,
! [X0,X1] :
( ~ member(X1,singleton(X0))
| X0 = X1
| X0 = X1 ),
inference(superposition,[],[f8,f12]) ).
fof(f12,axiom,
! [X0] : unordered_pair(X0,X0) = singleton(X0),
file('/export/starexec/sandbox/tmp/tmp.aHifxMoHqe/Vampire---4.8_28769',singleton_set) ).
fof(f8,axiom,
! [X2,X0,X1] :
( ~ member(X2,unordered_pair(X0,X1))
| X0 = X2
| X1 = X2 ),
file('/export/starexec/sandbox/tmp/tmp.aHifxMoHqe/Vampire---4.8_28769',unordered_pair_member) ).
fof(f66,axiom,
! [X0] :
( member(regular(X0),X0)
| null_class = X0 ),
file('/export/starexec/sandbox/tmp/tmp.aHifxMoHqe/Vampire---4.8_28769',regularity1) ).
fof(f1071,plain,
( ~ member(universal_class,universal_class)
| member(universal_class,null_class) ),
inference(resolution,[],[f1069,f872]) ).
fof(f1069,plain,
! [X12] :
( ~ member(X12,sF0)
| ~ member(X12,universal_class)
| member(X12,null_class) ),
inference(superposition,[],[f23,f871]) ).
fof(f871,plain,
null_class = intersection(sF0,universal_class),
inference(subsumption_resolution,[],[f869,f119]) ).
fof(f869,plain,
( null_class = intersection(sF0,universal_class)
| null_class = sF0 ),
inference(superposition,[],[f67,f868]) ).
fof(f23,axiom,
! [X0,X1,X4] :
( member(X4,intersection(X0,X1))
| ~ member(X4,X1)
| ~ member(X4,X0) ),
file('/export/starexec/sandbox/tmp/tmp.aHifxMoHqe/Vampire---4.8_28769',intersection3) ).
fof(f960,plain,
subclass(null_class,sF0),
inference(duplicate_literal_removal,[],[f957]) ).
fof(f957,plain,
( subclass(null_class,sF0)
| subclass(null_class,sF0) ),
inference(resolution,[],[f892,f3]) ).
fof(f3,axiom,
! [X0,X1] :
( ~ member(not_subclass_element(X0,X1),X1)
| subclass(X0,X1) ),
file('/export/starexec/sandbox/tmp/tmp.aHifxMoHqe/Vampire---4.8_28769',not_subclass_members2) ).
fof(f892,plain,
! [X0] :
( member(not_subclass_element(null_class,X0),sF0)
| subclass(null_class,X0) ),
inference(resolution,[],[f880,f2]) ).
fof(f2,axiom,
! [X0,X1] :
( member(not_subclass_element(X0,X1),X0)
| subclass(X0,X1) ),
file('/export/starexec/sandbox/tmp/tmp.aHifxMoHqe/Vampire---4.8_28769',not_subclass_members1) ).
fof(f880,plain,
! [X3] :
( ~ member(X3,null_class)
| member(X3,sF0) ),
inference(superposition,[],[f21,f871]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SET510-6 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.00/0.15 % Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.19/0.36 % Computer : n015.cluster.edu
% 0.19/0.36 % Model : x86_64 x86_64
% 0.19/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.19/0.36 % Memory : 8042.1875MB
% 0.19/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.19/0.36 % CPULimit : 300
% 0.19/0.36 % WCLimit : 300
% 0.19/0.36 % DateTime : Sat Aug 26 14:07:53 EDT 2023
% 0.19/0.36 % CPUTime :
% 0.19/0.36 This is a CNF_UNS_RFO_SEQ_NHN problem
% 0.19/0.37 Running vampire_casc2023 --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/tmp/tmp.aHifxMoHqe/Vampire---4.8_28769
% 0.19/0.37 % (28887)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.43 % (28889)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)
% 0.22/0.43 % (28893)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)
% 0.22/0.43 % (28888)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)
% 0.22/0.43 % (28894)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)
% 0.22/0.44 % (28892)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)
% 0.22/0.44 % (28891)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)
% 0.22/0.44 % (28890)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)
% 0.22/0.44 % (28890)Refutation not found, incomplete strategy% (28890)------------------------------
% 0.22/0.44 % (28890)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.22/0.44 % (28890)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.22/0.44 % (28890)Termination reason: Refutation not found, incomplete strategy
% 0.22/0.44
% 0.22/0.44 % (28890)Memory used [KB]: 10106
% 0.22/0.44 % (28890)Time elapsed: 0.006 s
% 0.22/0.44 % (28890)------------------------------
% 0.22/0.44 % (28890)------------------------------
% 0.22/0.48 % (28888)First to succeed.
% 0.22/0.48 % (28888)Refutation found. Thanks to Tanya!
% 0.22/0.48 % SZS status Unsatisfiable for Vampire---4
% 0.22/0.48 % SZS output start Proof for Vampire---4
% See solution above
% 0.22/0.48 % (28888)------------------------------
% 0.22/0.48 % (28888)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.22/0.48 % (28888)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.22/0.48 % (28888)Termination reason: Refutation
% 0.22/0.48
% 0.22/0.48 % (28888)Memory used [KB]: 2046
% 0.22/0.48 % (28888)Time elapsed: 0.046 s
% 0.22/0.48 % (28888)------------------------------
% 0.22/0.48 % (28888)------------------------------
% 0.22/0.48 % (28887)Success in time 0.108 s
% 0.22/0.48 28894 Aborted by signal SIGHUP on /export/starexec/sandbox/tmp/tmp.aHifxMoHqe/Vampire---4.8_28769
% 0.22/0.48 % (28894)------------------------------
% 0.22/0.48 % (28894)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.22/0.48 % (28894)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.22/0.48 % (28894)Termination reason: Unknown
% 0.22/0.48 % (28894)Termination phase: Saturation
% 0.22/0.48
% 0.22/0.48 % (28894)Memory used [KB]: 1279
% 0.22/0.48 % (28894)Time elapsed: 0.049 s
% 0.22/0.48 % (28894)------------------------------
% 0.22/0.48 % (28894)------------------------------
% 0.22/0.48 % Vampire---4.8 exiting
%------------------------------------------------------------------------------