TSTP Solution File: SET245-6 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SET245-6 : 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 : n002.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 15:39:03 EDT 2023
% Result : Unsatisfiable 0.22s 0.46s
% Output : Refutation 0.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 7
% Syntax : Number of formulae : 19 ( 8 unt; 0 def)
% Number of atoms : 31 ( 12 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 24 ( 12 ~; 12 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 4 con; 0-3 aty)
% Number of variables : 21 (; 21 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f819,plain,
$false,
inference(subsumption_resolution,[],[f762,f813]) ).
fof(f813,plain,
! [X0] : ~ member(X0,null_class),
inference(duplicate_literal_removal,[],[f800]) ).
fof(f800,plain,
! [X0] :
( ~ member(X0,null_class)
| ~ member(X0,null_class) ),
inference(superposition,[],[f24,f796]) ).
fof(f796,plain,
null_class = complement(null_class),
inference(resolution,[],[f768,f762]) ).
fof(f768,plain,
! [X6] :
( ~ member(regular(sF0),X6)
| null_class = complement(X6) ),
inference(resolution,[],[f763,f24]) ).
fof(f763,plain,
! [X0] :
( member(regular(sF0),X0)
| null_class = X0 ),
inference(resolution,[],[f762,f287]) ).
fof(f287,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/sandbox2/tmp/tmp.tYcpRzcj6u/Vampire---4.8_30596',regularity2) ).
fof(f21,axiom,
! [X0,X1,X4] :
( ~ member(X4,intersection(X0,X1))
| member(X4,X0) ),
file('/export/starexec/sandbox2/tmp/tmp.tYcpRzcj6u/Vampire---4.8_30596',intersection1) ).
fof(f24,axiom,
! [X0,X4] :
( ~ member(X4,complement(X0))
| ~ member(X4,X0) ),
file('/export/starexec/sandbox2/tmp/tmp.tYcpRzcj6u/Vampire---4.8_30596',complement1) ).
fof(f762,plain,
member(regular(sF0),null_class),
inference(subsumption_resolution,[],[f758,f119]) ).
fof(f119,plain,
null_class != sF0,
inference(definition_folding,[],[f113,f118]) ).
fof(f118,plain,
restrict(null_class,x,y) = sF0,
introduced(function_definition,[]) ).
fof(f113,axiom,
null_class != restrict(null_class,x,y),
file('/export/starexec/sandbox2/tmp/tmp.tYcpRzcj6u/Vampire---4.8_30596',prove_restriction_with_null_class1_1) ).
fof(f758,plain,
( member(regular(sF0),null_class)
| null_class = sF0 ),
inference(resolution,[],[f755,f66]) ).
fof(f66,axiom,
! [X0] :
( member(regular(X0),X0)
| null_class = X0 ),
file('/export/starexec/sandbox2/tmp/tmp.tYcpRzcj6u/Vampire---4.8_30596',regularity1) ).
fof(f755,plain,
! [X0] :
( ~ member(X0,sF0)
| member(X0,null_class) ),
inference(superposition,[],[f716,f118]) ).
fof(f716,plain,
! [X21,X18,X19,X20] :
( ~ member(X21,restrict(X18,X19,X20))
| member(X21,X18) ),
inference(superposition,[],[f21,f28]) ).
fof(f28,axiom,
! [X0,X1,X5] : intersection(X5,cross_product(X0,X1)) = restrict(X5,X0,X1),
file('/export/starexec/sandbox2/tmp/tmp.tYcpRzcj6u/Vampire---4.8_30596',restriction1) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : SET245-6 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.12/0.15 % Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.14/0.36 % Computer : n002.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Sat Aug 26 15:10:18 EDT 2023
% 0.14/0.36 % CPUTime :
% 0.14/0.36 This is a CNF_UNS_RFO_SEQ_NHN problem
% 0.22/0.37 Running vampire_casc2023 --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/tmp/tmp.tYcpRzcj6u/Vampire---4.8_30596
% 0.22/0.37 % (30703)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.43 % (30709)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 % (30707)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)
% 0.22/0.43 % (30705)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 % (30704)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 % (30710)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)
% 0.22/0.43 % (30706)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)
% 0.22/0.43 % (30708)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)
% 0.22/0.46 % (30704)First to succeed.
% 0.22/0.46 % (30704)Refutation found. Thanks to Tanya!
% 0.22/0.46 % SZS status Unsatisfiable for Vampire---4
% 0.22/0.46 % SZS output start Proof for Vampire---4
% See solution above
% 0.22/0.46 % (30704)------------------------------
% 0.22/0.46 % (30704)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.22/0.46 % (30704)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.22/0.46 % (30704)Termination reason: Refutation
% 0.22/0.46
% 0.22/0.46 % (30704)Memory used [KB]: 1663
% 0.22/0.46 % (30704)Time elapsed: 0.030 s
% 0.22/0.46 % (30704)------------------------------
% 0.22/0.46 % (30704)------------------------------
% 0.22/0.46 % (30703)Success in time 0.093 s
% 0.22/0.46 30710 Aborted by signal SIGHUP on /export/starexec/sandbox2/tmp/tmp.tYcpRzcj6u/Vampire---4.8_30596
% 0.22/0.46 % (30710)------------------------------
% 0.22/0.46 % (30710)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.22/0.46 % (30710)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.22/0.46 % (30710)Termination reason: Unknown
% 0.22/0.46 % (30710)Termination phase: Saturation
% 0.22/0.46
% 0.22/0.46 % (30710)Memory used [KB]: 1279
% 0.22/0.46 % (30710)Time elapsed: 0.033 s
% 0.22/0.46 % (30710)------------------------------
% 0.22/0.46 % (30710)------------------------------
% 0.22/0.46 % Vampire---4.8 exiting
%------------------------------------------------------------------------------