TSTP Solution File: NUM066-1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---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 : n007.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 : Fri Sep 1 20:05:25 EDT 2023
% Result : Unsatisfiable 81.95s 12.13s
% Output : Refutation 81.95s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 12
% Syntax : Number of formulae : 25 ( 14 unt; 0 def)
% Number of atoms : 48 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 53 ( 30 ~; 21 |; 0 &)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 6 ( 5 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 5 con; 0-2 aty)
% Number of variables : 34 (; 34 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f671855,plain,
$false,
inference(subsumption_resolution,[],[f671845,f624876]) ).
fof(f624876,plain,
member(ordered_pair(v,least(element_relation,u)),cross_product(universal_class,universal_class)),
inference(unit_resulting_resolution,[],[f1525,f619489,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.8x6zdH5oIg/Vampire---4.8_10894',cartesian_product3) ).
fof(f619489,plain,
member(least(element_relation,u),universal_class),
inference(unit_resulting_resolution,[],[f4,f619481,f1]) ).
fof(f1,axiom,
! [X2,X0,X1] :
( ~ member(X2,X0)
| ~ subclass(X0,X1)
| member(X2,X1) ),
file('/export/starexec/sandbox/tmp/tmp.8x6zdH5oIg/Vampire---4.8_10894',subclass_members) ).
fof(f619481,plain,
member(least(element_relation,u),u),
inference(unit_resulting_resolution,[],[f176,f159,f160,f164]) ).
fof(f164,plain,
! [X2,X1,X5] :
( ~ well_ordering(X5,X1)
| ~ subclass(X2,X1)
| member(least(X5,X2),X2)
| ~ sP0(X2) ),
inference(general_splitting,[],[f125,f163_D]) ).
fof(f163,plain,
! [X2,X3] :
( ~ member(X3,X2)
| sP0(X2) ),
inference(cnf_transformation,[],[f163_D]) ).
fof(f163_D,plain,
! [X2] :
( ! [X3] : ~ member(X3,X2)
<=> ~ sP0(X2) ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP0])]) ).
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.8x6zdH5oIg/Vampire---4.8_10894',well_ordering3) ).
fof(f160,axiom,
subclass(u,y),
file('/export/starexec/sandbox/tmp/tmp.8x6zdH5oIg/Vampire---4.8_10894',prove_corollary_to_well_ordering_property1_2) ).
fof(f159,axiom,
well_ordering(element_relation,y),
file('/export/starexec/sandbox/tmp/tmp.8x6zdH5oIg/Vampire---4.8_10894',prove_corollary_to_well_ordering_property1_1) ).
fof(f176,plain,
sP0(u),
inference(unit_resulting_resolution,[],[f161,f163]) ).
fof(f161,axiom,
member(v,u),
file('/export/starexec/sandbox/tmp/tmp.8x6zdH5oIg/Vampire---4.8_10894',prove_corollary_to_well_ordering_property1_3) ).
fof(f4,axiom,
! [X0] : subclass(X0,universal_class),
file('/export/starexec/sandbox/tmp/tmp.8x6zdH5oIg/Vampire---4.8_10894',class_elements_are_sets) ).
fof(f1525,plain,
member(v,universal_class),
inference(unit_resulting_resolution,[],[f4,f162,f1]) ).
fof(f162,axiom,
member(v,least(element_relation,u)),
file('/export/starexec/sandbox/tmp/tmp.8x6zdH5oIg/Vampire---4.8_10894',prove_corollary_to_well_ordering_property1_4) ).
fof(f671845,plain,
~ member(ordered_pair(v,least(element_relation,u)),cross_product(universal_class,universal_class)),
inference(unit_resulting_resolution,[],[f162,f667766,f20]) ).
fof(f20,axiom,
! [X0,X1] :
( ~ member(ordered_pair(X0,X1),cross_product(universal_class,universal_class))
| member(ordered_pair(X0,X1),element_relation)
| ~ member(X0,X1) ),
file('/export/starexec/sandbox/tmp/tmp.8x6zdH5oIg/Vampire---4.8_10894',element_relation3) ).
fof(f667766,plain,
~ member(ordered_pair(v,least(element_relation,u)),element_relation),
inference(unit_resulting_resolution,[],[f6777,f161,f165]) ).
fof(f165,plain,
! [X2,X3,X5] :
( ~ member(ordered_pair(X3,least(X5,X2)),X5)
| ~ member(X3,X2)
| sP1(X5,X2) ),
inference(cnf_transformation,[],[f165_D]) ).
fof(f165_D,plain,
! [X2,X5] :
( ! [X3] :
( ~ member(ordered_pair(X3,least(X5,X2)),X5)
| ~ member(X3,X2) )
<=> ~ sP1(X5,X2) ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP1])]) ).
fof(f6777,plain,
~ sP1(element_relation,u),
inference(unit_resulting_resolution,[],[f159,f160,f166]) ).
fof(f166,plain,
! [X2,X1,X5] :
( ~ sP1(X5,X2)
| ~ subclass(X2,X1)
| ~ well_ordering(X5,X1) ),
inference(general_splitting,[],[f127,f165_D]) ).
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.8x6zdH5oIg/Vampire---4.8_10894',well_ordering5) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : NUM066-1 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.07/0.14 % Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.14/0.35 % Computer : n007.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Wed Aug 30 14:57:29 EDT 2023
% 0.14/0.36 % CPUTime :
% 0.20/0.41 % (11057)Running in auto input_syntax mode. Trying TPTP
% 0.20/0.42 % (11062)ott+10_10:1_add=off:afr=on:amm=off:anc=all:bd=off:bs=on:fsr=off:irw=on:lma=on:msp=off:nm=4:nwc=4.0:sac=on:sp=reverse_frequency_531 on Vampire---4 for (531ds/0Mi)
% 0.20/0.42 % (11058)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on Vampire---4 for (846ds/0Mi)
% 0.20/0.42 % (11059)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on Vampire---4 for (793ds/0Mi)
% 0.20/0.42 % (11061)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on Vampire---4 for (533ds/0Mi)
% 0.20/0.42 % (11060)dis+2_11_add=large:afr=on:amm=off:bd=off:bce=on:fsd=off:fde=none:gs=on:gsaa=full_model:gsem=off:irw=on:msp=off:nm=4:nwc=1.3:sas=z3:sims=off:sac=on:sp=reverse_arity_569 on Vampire---4 for (569ds/0Mi)
% 0.20/0.42 % (11063)ott-10_8_av=off:bd=preordered:bs=on:fsd=off:fsr=off:fde=unused:irw=on:lcm=predicate:lma=on:nm=4:nwc=1.7:sp=frequency_522 on Vampire---4 for (522ds/0Mi)
% 0.20/0.42 % (11064)ott+1_64_av=off:bd=off:bce=on:fsd=off:fde=unused:gsp=on:irw=on:lcm=predicate:lma=on:nm=2:nwc=1.1:sims=off:urr=on_497 on Vampire---4 for (497ds/0Mi)
% 0.20/0.44 TRYING [1]
% 0.20/0.44 TRYING [2]
% 0.20/0.47 TRYING [3]
% 0.20/0.47 TRYING [1]
% 0.20/0.48 TRYING [2]
% 1.04/0.54 TRYING [4]
% 1.04/0.57 TRYING [3]
% 1.66/0.68 TRYING [5]
% 2.03/0.72 TRYING [4]
% 4.79/1.11 TRYING [6]
% 5.87/1.24 TRYING [5]
% 7.48/1.53 TRYING [1]
% 7.48/1.53 TRYING [2]
% 7.99/1.54 TRYING [3]
% 8.23/1.60 TRYING [4]
% 9.47/1.74 TRYING [5]
% 12.42/2.21 TRYING [6]
% 13.34/2.32 TRYING [7]
% 19.86/3.31 TRYING [6]
% 20.69/3.39 TRYING [7]
% 36.30/5.65 TRYING [8]
% 43.05/6.60 TRYING [8]
% 80.99/11.95 TRYING [9]
% 81.95/12.09 % (11064)First to succeed.
% 81.95/12.13 % (11064)Refutation found. Thanks to Tanya!
% 81.95/12.13 % SZS status Unsatisfiable for Vampire---4
% 81.95/12.13 % SZS output start Proof for Vampire---4
% See solution above
% 81.95/12.13 % (11064)------------------------------
% 81.95/12.13 % (11064)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 81.95/12.13 % (11064)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 81.95/12.13 % (11064)Termination reason: Refutation
% 81.95/12.13
% 81.95/12.13 % (11064)Memory used [KB]: 466943
% 81.95/12.13 % (11064)Time elapsed: 11.663 s
% 81.95/12.13 % (11064)------------------------------
% 81.95/12.13 % (11064)------------------------------
% 81.95/12.13 % (11057)Success in time 11.679 s
% 81.95/12.13 % Vampire---4.8 exiting
%------------------------------------------------------------------------------