TSTP Solution File: RNG102+2 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : RNG102+2 : TPTP v8.1.2. Released v4.0.0.
% 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 : n014.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 14:01:17 EDT 2023
% Result : Theorem 0.23s 0.45s
% Output : Refutation 0.23s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 4
% Syntax : Number of formulae : 13 ( 4 unt; 0 def)
% Number of atoms : 41 ( 16 equ)
% Maximal formula atoms : 7 ( 3 avg)
% Number of connectives : 34 ( 6 ~; 2 |; 24 &)
% ( 0 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 6 con; 0-2 aty)
% Number of variables : 10 (; 2 !; 8 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f368,plain,
$false,
inference(subsumption_resolution,[],[f365,f232]) ).
fof(f232,plain,
xy = sdtasdt0(xc,sK25),
inference(cnf_transformation,[],[f139]) ).
fof(f139,plain,
( aElement0(xz)
& aElementOf0(xy,slsdtgt0(xc))
& xy = sdtasdt0(xc,sK25)
& aElement0(sK25)
& aElementOf0(xx,slsdtgt0(xc))
& xx = sdtasdt0(xc,sK26)
& aElement0(sK26) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK25,sK26])],[f43,f138,f137]) ).
fof(f137,plain,
( ? [X0] :
( sdtasdt0(xc,X0) = xy
& aElement0(X0) )
=> ( xy = sdtasdt0(xc,sK25)
& aElement0(sK25) ) ),
introduced(choice_axiom,[]) ).
fof(f138,plain,
( ? [X1] :
( xx = sdtasdt0(xc,X1)
& aElement0(X1) )
=> ( xx = sdtasdt0(xc,sK26)
& aElement0(sK26) ) ),
introduced(choice_axiom,[]) ).
fof(f43,plain,
( aElement0(xz)
& aElementOf0(xy,slsdtgt0(xc))
& ? [X0] :
( sdtasdt0(xc,X0) = xy
& aElement0(X0) )
& aElementOf0(xx,slsdtgt0(xc))
& ? [X1] :
( xx = sdtasdt0(xc,X1)
& aElement0(X1) ) ),
inference(rectify,[],[f39]) ).
fof(f39,axiom,
( aElement0(xz)
& aElementOf0(xy,slsdtgt0(xc))
& ? [X0] :
( sdtasdt0(xc,X0) = xy
& aElement0(X0) )
& aElementOf0(xx,slsdtgt0(xc))
& ? [X0] :
( sdtasdt0(xc,X0) = xx
& aElement0(X0) ) ),
file('/export/starexec/sandbox2/tmp/tmp.k7o74gxsct/Vampire---4.8_14287',m__1933) ).
fof(f365,plain,
xy != sdtasdt0(xc,sK25),
inference(unit_resulting_resolution,[],[f231,f224]) ).
fof(f224,plain,
! [X0] :
( sdtasdt0(xc,X0) != xy
| ~ aElement0(X0) ),
inference(cnf_transformation,[],[f53]) ).
fof(f53,plain,
! [X0] :
( sdtasdt0(xc,X0) != xy
| ~ aElement0(X0) ),
inference(ennf_transformation,[],[f42]) ).
fof(f42,negated_conjecture,
~ ? [X0] :
( sdtasdt0(xc,X0) = xy
& aElement0(X0) ),
inference(negated_conjecture,[],[f41]) ).
fof(f41,conjecture,
? [X0] :
( sdtasdt0(xc,X0) = xy
& aElement0(X0) ),
file('/export/starexec/sandbox2/tmp/tmp.k7o74gxsct/Vampire---4.8_14287',m__) ).
fof(f231,plain,
aElement0(sK25),
inference(cnf_transformation,[],[f139]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.14 % Problem : RNG102+2 : TPTP v8.1.2. Released v4.0.0.
% 0.15/0.16 % Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.16/0.37 % Computer : n014.cluster.edu
% 0.16/0.37 % Model : x86_64 x86_64
% 0.16/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.37 % Memory : 8042.1875MB
% 0.16/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.37 % CPULimit : 300
% 0.16/0.37 % WCLimit : 300
% 0.16/0.37 % DateTime : Sun Aug 27 02:29:17 EDT 2023
% 0.16/0.37 % CPUTime :
% 0.16/0.37 This is a FOF_THM_RFO_SEQ problem
% 0.16/0.37 Running vampire_casc2023 --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/tmp/tmp.k7o74gxsct/Vampire---4.8_14287
% 0.16/0.38 % (14430)Running in auto input_syntax mode. Trying TPTP
% 0.23/0.44 % (14433)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)
% 0.23/0.44 % (14435)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)
% 0.23/0.44 % (14436)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)
% 0.23/0.44 % (14431)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)
% 0.23/0.44 % (14432)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)
% 0.23/0.44 % (14434)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)
% 0.23/0.44 % (14437)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)
% 0.23/0.44 % (14436)First to succeed.
% 0.23/0.45 % (14431)Also succeeded, but the first one will report.
% 0.23/0.45 % (14436)Refutation found. Thanks to Tanya!
% 0.23/0.45 % SZS status Theorem for Vampire---4
% 0.23/0.45 % SZS output start Proof for Vampire---4
% See solution above
% 0.23/0.45 % (14436)------------------------------
% 0.23/0.45 % (14436)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.23/0.45 % (14436)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.23/0.45 % (14436)Termination reason: Refutation
% 0.23/0.45
% 0.23/0.45 % (14436)Memory used [KB]: 1279
% 0.23/0.45 % (14436)Time elapsed: 0.008 s
% 0.23/0.45 % (14436)------------------------------
% 0.23/0.45 % (14436)------------------------------
% 0.23/0.45 % (14430)Success in time 0.068 s
% 0.23/0.45 % Vampire---4.8 exiting
%------------------------------------------------------------------------------