TSTP Solution File: NUM066-1 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : NUM066-1 : 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 : n006.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 11:59:30 EDT 2023
% Result : Unsatisfiable 0.25s 0.57s
% Output : Refutation 0.25s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 10
% Syntax : Number of formulae : 18 ( 12 unt; 0 def)
% Number of atoms : 31 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 29 ( 16 ~; 13 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 5 con; 0-2 aty)
% Number of variables : 18 (; 18 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1833,plain,
$false,
inference(subsumption_resolution,[],[f1786,f520]) ).
fof(f520,plain,
~ member(ordered_pair(v,least(element_relation,u)),cross_product(universal_class,universal_class)),
inference(subsumption_resolution,[],[f514,f201]) ).
fof(f201,plain,
~ member(ordered_pair(v,least(element_relation,u)),element_relation),
inference(unit_resulting_resolution,[],[f159,f160,f161,f127]) ).
fof(f127,axiom,
! [X2,X3,X1,X5] :
( ~ well_ordering(X5,X1)
| ~ subclass(X2,X1)
| ~ member(X3,X2)
| ~ member(ordered_pair(X3,least(X5,X2)),X5) ),
file('/export/starexec/sandbox/tmp/tmp.W0leuiwa1s/Vampire---4.8_10632',well_ordering5) ).
fof(f161,axiom,
member(v,u),
file('/export/starexec/sandbox/tmp/tmp.W0leuiwa1s/Vampire---4.8_10632',prove_corollary_to_well_ordering_property1_3) ).
fof(f160,axiom,
subclass(u,y),
file('/export/starexec/sandbox/tmp/tmp.W0leuiwa1s/Vampire---4.8_10632',prove_corollary_to_well_ordering_property1_2) ).
fof(f159,axiom,
well_ordering(element_relation,y),
file('/export/starexec/sandbox/tmp/tmp.W0leuiwa1s/Vampire---4.8_10632',prove_corollary_to_well_ordering_property1_1) ).
fof(f514,plain,
( member(ordered_pair(v,least(element_relation,u)),element_relation)
| ~ member(ordered_pair(v,least(element_relation,u)),cross_product(universal_class,universal_class)) ),
inference(resolution,[],[f162,f20]) ).
fof(f20,axiom,
! [X0,X1] :
( ~ member(X0,X1)
| member(ordered_pair(X0,X1),element_relation)
| ~ member(ordered_pair(X0,X1),cross_product(universal_class,universal_class)) ),
file('/export/starexec/sandbox/tmp/tmp.W0leuiwa1s/Vampire---4.8_10632',element_relation3) ).
fof(f162,axiom,
member(v,least(element_relation,u)),
file('/export/starexec/sandbox/tmp/tmp.W0leuiwa1s/Vampire---4.8_10632',prove_corollary_to_well_ordering_property1_4) ).
fof(f1786,plain,
member(ordered_pair(v,least(element_relation,u)),cross_product(universal_class,universal_class)),
inference(unit_resulting_resolution,[],[f188,f570,f16]) ).
fof(f16,axiom,
! [X2,X3,X0,X1] :
( ~ member(X2,X0)
| ~ member(X3,X1)
| member(ordered_pair(X2,X3),cross_product(X0,X1)) ),
file('/export/starexec/sandbox/tmp/tmp.W0leuiwa1s/Vampire---4.8_10632',cartesian_product3) ).
fof(f570,plain,
member(least(element_relation,u),universal_class),
inference(unit_resulting_resolution,[],[f4,f200,f1]) ).
fof(f1,axiom,
! [X2,X0,X1] :
( ~ subclass(X0,X1)
| ~ member(X2,X0)
| member(X2,X1) ),
file('/export/starexec/sandbox/tmp/tmp.W0leuiwa1s/Vampire---4.8_10632',subclass_members) ).
fof(f200,plain,
member(least(element_relation,u),u),
inference(unit_resulting_resolution,[],[f159,f160,f161,f125]) ).
fof(f125,axiom,
! [X2,X3,X1,X5] :
( ~ well_ordering(X5,X1)
| ~ subclass(X2,X1)
| ~ member(X3,X2)
| member(least(X5,X2),X2) ),
file('/export/starexec/sandbox/tmp/tmp.W0leuiwa1s/Vampire---4.8_10632',well_ordering3) ).
fof(f4,axiom,
! [X0] : subclass(X0,universal_class),
file('/export/starexec/sandbox/tmp/tmp.W0leuiwa1s/Vampire---4.8_10632',class_elements_are_sets) ).
fof(f188,plain,
member(v,universal_class),
inference(unit_resulting_resolution,[],[f4,f161,f1]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.14/0.16 % Problem : NUM066-1 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.14/0.17 % Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.18/0.39 % Computer : n006.cluster.edu
% 0.18/0.39 % Model : x86_64 x86_64
% 0.18/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.39 % Memory : 8042.1875MB
% 0.18/0.39 % OS : Linux 3.10.0-693.el7.x86_64
% 0.18/0.39 % CPULimit : 300
% 0.18/0.39 % WCLimit : 300
% 0.18/0.39 % DateTime : Fri Aug 25 13:16:37 EDT 2023
% 0.18/0.39 % CPUTime :
% 0.18/0.39 This is a CNF_UNS_RFO_SEQ_NHN problem
% 0.18/0.39 Running vampire_casc2023 --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/tmp/tmp.W0leuiwa1s/Vampire---4.8_10632
% 0.18/0.40 % (10809)Running in auto input_syntax mode. Trying TPTP
% 0.25/0.44 % (10810)lrs+1011_1_bd=preordered:flr=on:fsd=off:fsr=off:irw=on:lcm=reverse:msp=off:nm=2:nwc=10.0:sos=on:sp=reverse_weighted_frequency:tgt=full:stl=62_562 on Vampire---4 for (562ds/0Mi)
% 0.25/0.46 % (10817)lrs-1004_3_av=off:ep=RSTC:fsd=off:fsr=off:urr=ec_only:stl=62_525 on Vampire---4 for (525ds/0Mi)
% 0.25/0.46 % (10824)lrs+10_4:5_amm=off:bsr=on:bce=on:flr=on:fsd=off:fde=unused:gs=on:gsem=on:lcm=predicate:sos=all:tgt=ground:stl=62_514 on Vampire---4 for (514ds/0Mi)
% 0.25/0.46 % (10825)ott+1011_4_er=known:fsd=off:nm=4:tgt=ground_499 on Vampire---4 for (499ds/0Mi)
% 0.25/0.46 % (10829)lrs+10_1024_av=off:bsr=on:br=off:ep=RSTC:fsd=off:irw=on:nm=4:nwc=1.1:sims=off:urr=on:stl=125_440 on Vampire---4 for (440ds/0Mi)
% 0.25/0.46 % (10831)ott+1010_2:5_bd=off:fsd=off:fde=none:nm=16:sos=on_419 on Vampire---4 for (419ds/0Mi)
% 0.25/0.47 % (10826)ott+11_8:1_aac=none:amm=sco:anc=none:er=known:flr=on:fde=unused:irw=on:nm=0:nwc=1.2:nicw=on:sims=off:sos=all:sac=on_470 on Vampire---4 for (470ds/0Mi)
% 0.25/0.47 % (10831)Refutation not found, incomplete strategy% (10831)------------------------------
% 0.25/0.47 % (10831)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.25/0.47 % (10831)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.25/0.47 % (10831)Termination reason: Refutation not found, incomplete strategy
% 0.25/0.47
% 0.25/0.47 % (10831)Memory used [KB]: 5756
% 0.25/0.47 % (10831)Time elapsed: 0.005 s
% 0.25/0.47 % (10831)------------------------------
% 0.25/0.47 % (10831)------------------------------
% 0.25/0.53 % (10834)lrs-11_32_amm=off:bce=on:cond=on:er=filter:fsd=off:fde=none:gs=on:gsem=on:lcm=reverse:nm=4:nwc=1.1:sos=all:sac=on:sp=frequency:urr=on:stl=125_403 on Vampire---4 for (403ds/0Mi)
% 0.25/0.57 % (10834)First to succeed.
% 0.25/0.57 % (10834)Refutation found. Thanks to Tanya!
% 0.25/0.57 % SZS status Unsatisfiable for Vampire---4
% 0.25/0.57 % SZS output start Proof for Vampire---4
% See solution above
% 0.25/0.57 % (10834)------------------------------
% 0.25/0.57 % (10834)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.25/0.57 % (10834)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.25/0.57 % (10834)Termination reason: Refutation
% 0.25/0.57
% 0.25/0.57 % (10834)Memory used [KB]: 12281
% 0.25/0.57 % (10834)Time elapsed: 0.042 s
% 0.25/0.57 % (10834)------------------------------
% 0.25/0.57 % (10834)------------------------------
% 0.25/0.57 % (10809)Success in time 0.168 s
% 0.25/0.57 % Vampire---4.8 exiting
%------------------------------------------------------------------------------