TSTP Solution File: SET163-6 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SET163-6 : 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 : n028.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 15:38:24 EDT 2023
% Result : Unsatisfiable 2.63s 0.79s
% Output : Refutation 2.63s
% Verified :
% SZS Type : Refutation
% Derivation depth : 21
% Number of leaves : 14
% Syntax : Number of formulae : 45 ( 18 unt; 0 def)
% Number of atoms : 84 ( 26 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 73 ( 34 ~; 39 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 13 ( 13 usr; 4 con; 0-3 aty)
% Number of variables : 61 (; 61 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f10771,plain,
$false,
inference(unit_resulting_resolution,[],[f119,f4,f10766,f7]) ).
fof(f7,axiom,
! [X0,X1] :
( ~ subclass(X1,X0)
| ~ subclass(X0,X1)
| X0 = X1 ),
file('/export/starexec/sandbox2/tmp/tmp.ClE4V0C7cm/Vampire---4.8_16132',subclass_implies_equal) ).
fof(f10766,plain,
! [X0] : subclass(X0,sF0),
inference(duplicate_literal_removal,[],[f10760]) ).
fof(f10760,plain,
! [X0] :
( subclass(X0,sF0)
| subclass(X0,sF0) ),
inference(resolution,[],[f9945,f3]) ).
fof(f3,axiom,
! [X0,X1] :
( ~ member(not_subclass_element(X0,X1),X1)
| subclass(X0,X1) ),
file('/export/starexec/sandbox2/tmp/tmp.ClE4V0C7cm/Vampire---4.8_16132',not_subclass_members2) ).
fof(f9945,plain,
! [X28,X27] :
( member(not_subclass_element(X27,X28),sF0)
| subclass(X27,X28) ),
inference(subsumption_resolution,[],[f9937,f4]) ).
fof(f9937,plain,
! [X28,X27] :
( member(not_subclass_element(X27,X28),sF0)
| ~ subclass(X27,universal_class)
| subclass(X27,X28) ),
inference(resolution,[],[f9739,f154]) ).
fof(f154,plain,
! [X6,X4,X5] :
( member(not_subclass_element(X4,X6),X5)
| ~ subclass(X4,X5)
| subclass(X4,X6) ),
inference(resolution,[],[f1,f2]) ).
fof(f2,axiom,
! [X0,X1] :
( member(not_subclass_element(X0,X1),X0)
| subclass(X0,X1) ),
file('/export/starexec/sandbox2/tmp/tmp.ClE4V0C7cm/Vampire---4.8_16132',not_subclass_members1) ).
fof(f1,axiom,
! [X2,X0,X1] :
( ~ member(X2,X0)
| ~ subclass(X0,X1)
| member(X2,X1) ),
file('/export/starexec/sandbox2/tmp/tmp.ClE4V0C7cm/Vampire---4.8_16132',subclass_members) ).
fof(f9739,plain,
! [X1] :
( ~ member(X1,universal_class)
| member(X1,sF0) ),
inference(subsumption_resolution,[],[f9698,f9556]) ).
fof(f9556,plain,
! [X1] : ~ member(X1,null_class),
inference(superposition,[],[f9489,f9503]) ).
fof(f9503,plain,
null_class = domain_of(null_class),
inference(resolution,[],[f9489,f66]) ).
fof(f66,axiom,
! [X0] :
( member(regular(X0),X0)
| null_class = X0 ),
file('/export/starexec/sandbox2/tmp/tmp.ClE4V0C7cm/Vampire---4.8_16132',regularity1) ).
fof(f9489,plain,
! [X23] : ~ member(X23,domain_of(null_class)),
inference(trivial_inequality_removal,[],[f9487]) ).
fof(f9487,plain,
! [X23] :
( null_class != null_class
| ~ member(X23,domain_of(null_class)) ),
inference(superposition,[],[f30,f9423]) ).
fof(f9423,plain,
! [X2,X1] : null_class = restrict(null_class,X1,X2),
inference(superposition,[],[f9404,f28]) ).
fof(f28,axiom,
! [X0,X1,X5] : intersection(X5,cross_product(X0,X1)) = restrict(X5,X0,X1),
file('/export/starexec/sandbox2/tmp/tmp.ClE4V0C7cm/Vampire---4.8_16132',restriction1) ).
fof(f9404,plain,
! [X5] : null_class = intersection(null_class,X5),
inference(resolution,[],[f9392,f4611]) ).
fof(f4611,plain,
! [X1] :
( ~ subclass(X1,null_class)
| null_class = X1 ),
inference(subsumption_resolution,[],[f4603,f4]) ).
fof(f4603,plain,
! [X1] :
( ~ subclass(X1,null_class)
| null_class = X1
| ~ subclass(X1,universal_class) ),
inference(duplicate_literal_removal,[],[f4600]) ).
fof(f4600,plain,
! [X1] :
( ~ subclass(X1,null_class)
| null_class = X1
| ~ subclass(X1,universal_class)
| null_class = X1 ),
inference(resolution,[],[f808,f153]) ).
fof(f153,plain,
! [X2,X3] :
( member(regular(X2),X3)
| ~ subclass(X2,X3)
| null_class = X2 ),
inference(resolution,[],[f1,f66]) ).
fof(f808,plain,
! [X2] :
( ~ member(regular(X2),universal_class)
| ~ subclass(X2,null_class)
| null_class = X2 ),
inference(resolution,[],[f789,f153]) ).
fof(f789,plain,
! [X0] :
( ~ member(X0,null_class)
| ~ member(X0,universal_class) ),
inference(superposition,[],[f24,f783]) ).
fof(f783,plain,
null_class = complement(universal_class),
inference(resolution,[],[f782,f4]) ).
fof(f782,plain,
! [X0] :
( ~ subclass(complement(X0),X0)
| complement(X0) = null_class ),
inference(duplicate_literal_removal,[],[f771]) ).
fof(f771,plain,
! [X0] :
( ~ subclass(complement(X0),X0)
| complement(X0) = null_class
| complement(X0) = null_class ),
inference(resolution,[],[f153,f124]) ).
fof(f124,plain,
! [X0] :
( ~ member(regular(complement(X0)),X0)
| complement(X0) = null_class ),
inference(resolution,[],[f66,f24]) ).
fof(f24,axiom,
! [X0,X4] :
( ~ member(X4,complement(X0))
| ~ member(X4,X0) ),
file('/export/starexec/sandbox2/tmp/tmp.ClE4V0C7cm/Vampire---4.8_16132',complement1) ).
fof(f9392,plain,
! [X0,X1] : subclass(intersection(X0,X1),X0),
inference(duplicate_literal_removal,[],[f9343]) ).
fof(f9343,plain,
! [X0,X1] :
( subclass(intersection(X0,X1),X0)
| subclass(intersection(X0,X1),X0) ),
inference(resolution,[],[f132,f3]) ).
fof(f132,plain,
! [X6,X4,X5] :
( member(not_subclass_element(intersection(X4,X5),X6),X4)
| subclass(intersection(X4,X5),X6) ),
inference(resolution,[],[f21,f2]) ).
fof(f21,axiom,
! [X0,X1,X4] :
( ~ member(X4,intersection(X0,X1))
| member(X4,X0) ),
file('/export/starexec/sandbox2/tmp/tmp.ClE4V0C7cm/Vampire---4.8_16132',intersection1) ).
fof(f30,axiom,
! [X0,X4] :
( restrict(X0,singleton(X4),universal_class) != null_class
| ~ member(X4,domain_of(X0)) ),
file('/export/starexec/sandbox2/tmp/tmp.ClE4V0C7cm/Vampire---4.8_16132',domain1) ).
fof(f9698,plain,
! [X1] :
( member(X1,sF0)
| member(X1,null_class)
| ~ member(X1,universal_class) ),
inference(superposition,[],[f25,f9641]) ).
fof(f9641,plain,
sF0 = complement(null_class),
inference(superposition,[],[f9426,f118]) ).
fof(f118,plain,
union(universal_class,x) = sF0,
introduced(function_definition,[]) ).
fof(f9426,plain,
! [X2] : complement(null_class) = union(universal_class,X2),
inference(superposition,[],[f791,f9404]) ).
fof(f791,plain,
! [X2] : union(universal_class,X2) = complement(intersection(null_class,complement(X2))),
inference(superposition,[],[f26,f783]) ).
fof(f26,axiom,
! [X0,X1] : complement(intersection(complement(X0),complement(X1))) = union(X0,X1),
file('/export/starexec/sandbox2/tmp/tmp.ClE4V0C7cm/Vampire---4.8_16132',union) ).
fof(f25,axiom,
! [X0,X4] :
( member(X4,complement(X0))
| member(X4,X0)
| ~ member(X4,universal_class) ),
file('/export/starexec/sandbox2/tmp/tmp.ClE4V0C7cm/Vampire---4.8_16132',complement2) ).
fof(f4,axiom,
! [X0] : subclass(X0,universal_class),
file('/export/starexec/sandbox2/tmp/tmp.ClE4V0C7cm/Vampire---4.8_16132',class_elements_are_sets) ).
fof(f119,plain,
universal_class != sF0,
inference(definition_folding,[],[f113,f118]) ).
fof(f113,axiom,
universal_class != union(universal_class,x),
file('/export/starexec/sandbox2/tmp/tmp.ClE4V0C7cm/Vampire---4.8_16132',prove_union_with_universal_class_1) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.14 % Problem : SET163-6 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.00/0.16 % Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.17/0.37 % Computer : n028.cluster.edu
% 0.17/0.37 % Model : x86_64 x86_64
% 0.17/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.37 % Memory : 8042.1875MB
% 0.17/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.17/0.37 % CPULimit : 300
% 0.17/0.37 % WCLimit : 300
% 0.17/0.37 % DateTime : Sat Aug 26 15:16:22 EDT 2023
% 0.17/0.37 % CPUTime :
% 0.17/0.37 This is a CNF_UNS_RFO_SEQ_NHN problem
% 0.17/0.38 Running vampire_casc2023 --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/tmp/tmp.ClE4V0C7cm/Vampire---4.8_16132
% 0.17/0.38 % (16289)Running in auto input_syntax mode. Trying TPTP
% 0.24/0.44 % (16301)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)
% 0.24/0.44 % (16294)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)
% 0.24/0.44 % (16292)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)
% 0.24/0.44 % (16293)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)
% 0.24/0.44 % (16307)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)
% 0.24/0.44 % (16304)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)
% 0.24/0.44 % (16297)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)
% 0.24/0.45 % (16294)Refutation not found, incomplete strategy% (16294)------------------------------
% 0.24/0.45 % (16294)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.24/0.45 % (16294)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.24/0.45 % (16294)Termination reason: Refutation not found, incomplete strategy
% 0.24/0.45
% 0.24/0.45 % (16294)Memory used [KB]: 10106
% 0.24/0.45 % (16294)Time elapsed: 0.007 s
% 0.24/0.45 % (16294)------------------------------
% 0.24/0.45 % (16294)------------------------------
% 0.24/0.50 % (16313)dis+1011_4_add=large:amm=off:sims=off:sac=on:sp=frequency:tgt=ground_401 on Vampire---4 for (401ds/0Mi)
% 2.63/0.79 % (16292)First to succeed.
% 2.63/0.79 % (16292)Refutation found. Thanks to Tanya!
% 2.63/0.79 % SZS status Unsatisfiable for Vampire---4
% 2.63/0.79 % SZS output start Proof for Vampire---4
% See solution above
% 2.63/0.79 % (16292)------------------------------
% 2.63/0.79 % (16292)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 2.63/0.79 % (16292)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 2.63/0.79 % (16292)Termination reason: Refutation
% 2.63/0.79
% 2.63/0.79 % (16292)Memory used [KB]: 7419
% 2.63/0.79 % (16292)Time elapsed: 0.342 s
% 2.63/0.79 % (16292)------------------------------
% 2.63/0.79 % (16292)------------------------------
% 2.63/0.79 % (16289)Success in time 0.413 s
% 2.63/0.79 % Vampire---4.8 exiting
%------------------------------------------------------------------------------