TSTP Solution File: NUM622+3 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : NUM622+3 : 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 : n027.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 12:13:19 EDT 2023
% Result : Theorem 0.23s 0.48s
% Output : Refutation 0.23s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 5
% Syntax : Number of formulae : 20 ( 11 unt; 0 def)
% Number of atoms : 44 ( 8 equ)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 35 ( 11 ~; 7 |; 14 &)
% ( 0 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 13 ( 13 usr; 8 con; 0-2 aty)
% Number of variables : 9 (; 9 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1413,plain,
$false,
inference(subsumption_resolution,[],[f1412,f1100]) ).
fof(f1100,plain,
~ aElementOf0(xp,sF98),
inference(definition_folding,[],[f583,f1099]) ).
fof(f1099,plain,
sdtlpdtrp0(xN,xm) = sF98,
introduced(function_definition,[]) ).
fof(f583,plain,
~ aElementOf0(xp,sdtlpdtrp0(xN,xm)),
inference(cnf_transformation,[],[f121]) ).
fof(f121,plain,
~ aElementOf0(xp,sdtlpdtrp0(xN,xm)),
inference(flattening,[],[f120]) ).
fof(f120,negated_conjecture,
~ aElementOf0(xp,sdtlpdtrp0(xN,xm)),
inference(negated_conjecture,[],[f119]) ).
fof(f119,conjecture,
aElementOf0(xp,sdtlpdtrp0(xN,xm)),
file('/export/starexec/sandbox2/tmp/tmp.gMFf7uOs5U/Vampire---4.8_30782',m__) ).
fof(f1412,plain,
aElementOf0(xp,sF98),
inference(forward_demodulation,[],[f1411,f726]) ).
fof(f726,plain,
xp = sdtlpdtrp0(xe,xn),
inference(cnf_transformation,[],[f111]) ).
fof(f111,axiom,
( xp = sdtlpdtrp0(xe,xn)
& aElementOf0(xn,szNzAzT0)
& aElementOf0(xn,sdtlbdtrb0(xd,szDzizrdt0(xd)))
& szDzizrdt0(xd) = sdtlpdtrp0(xd,xn)
& aElementOf0(xn,szDzozmdt0(xd)) ),
file('/export/starexec/sandbox2/tmp/tmp.gMFf7uOs5U/Vampire---4.8_30782',m__5309) ).
fof(f1411,plain,
aElementOf0(sdtlpdtrp0(xe,xn),sF98),
inference(subsumption_resolution,[],[f1402,f725]) ).
fof(f725,plain,
aElementOf0(xn,szNzAzT0),
inference(cnf_transformation,[],[f111]) ).
fof(f1402,plain,
( ~ aElementOf0(xn,szNzAzT0)
| aElementOf0(sdtlpdtrp0(xe,xn),sF98) ),
inference(resolution,[],[f597,f1121]) ).
fof(f1121,plain,
! [X0] :
( ~ aElementOf0(X0,sdtlpdtrp0(xN,xn))
| aElementOf0(X0,sF98) ),
inference(forward_demodulation,[],[f754,f1099]) ).
fof(f754,plain,
! [X0] :
( aElementOf0(X0,sdtlpdtrp0(xN,xm))
| ~ aElementOf0(X0,sdtlpdtrp0(xN,xn)) ),
inference(cnf_transformation,[],[f165]) ).
fof(f165,plain,
( aSubsetOf0(sdtlpdtrp0(xN,xn),sdtlpdtrp0(xN,xm))
& ! [X0] :
( aElementOf0(X0,sdtlpdtrp0(xN,xm))
| ~ aElementOf0(X0,sdtlpdtrp0(xN,xn)) ) ),
inference(ennf_transformation,[],[f118]) ).
fof(f118,axiom,
( aSubsetOf0(sdtlpdtrp0(xN,xn),sdtlpdtrp0(xN,xm))
& ! [X0] :
( aElementOf0(X0,sdtlpdtrp0(xN,xn))
=> aElementOf0(X0,sdtlpdtrp0(xN,xm)) ) ),
file('/export/starexec/sandbox2/tmp/tmp.gMFf7uOs5U/Vampire---4.8_30782',m__5461) ).
fof(f597,plain,
! [X0] :
( aElementOf0(sdtlpdtrp0(xe,X0),sdtlpdtrp0(xN,X0))
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f144]) ).
fof(f144,plain,
( ! [X0] :
( ( szmzizndt0(sdtlpdtrp0(xN,X0)) = sdtlpdtrp0(xe,X0)
& ! [X1] :
( sdtlseqdt0(sdtlpdtrp0(xe,X0),X1)
| ~ aElementOf0(X1,sdtlpdtrp0(xN,X0)) )
& aElementOf0(sdtlpdtrp0(xe,X0),sdtlpdtrp0(xN,X0)) )
| ~ aElementOf0(X0,szNzAzT0) )
& szNzAzT0 = szDzozmdt0(xe)
& aFunction0(xe) ),
inference(ennf_transformation,[],[f91]) ).
fof(f91,axiom,
( ! [X0] :
( aElementOf0(X0,szNzAzT0)
=> ( szmzizndt0(sdtlpdtrp0(xN,X0)) = sdtlpdtrp0(xe,X0)
& ! [X1] :
( aElementOf0(X1,sdtlpdtrp0(xN,X0))
=> sdtlseqdt0(sdtlpdtrp0(xe,X0),X1) )
& aElementOf0(sdtlpdtrp0(xe,X0),sdtlpdtrp0(xN,X0)) ) )
& szNzAzT0 = szDzozmdt0(xe)
& aFunction0(xe) ),
file('/export/starexec/sandbox2/tmp/tmp.gMFf7uOs5U/Vampire---4.8_30782',m__4660) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.14 % Problem : NUM622+3 : 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
% 0.17/0.37 % Computer : n027.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
% 0.17/0.38 % CPULimit : 300
% 0.17/0.38 % WCLimit : 300
% 0.17/0.38 % DateTime : Fri Aug 25 11:09:34 EDT 2023
% 0.17/0.38 % CPUTime :
% 0.17/0.38 This is a FOF_CAX_RFO_SEQ problem
% 0.17/0.38 Running vampire_casc2023 --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/tmp/tmp.gMFf7uOs5U/Vampire---4.8_30782
% 0.17/0.38 % (30890)Running in auto input_syntax mode. Trying TPTP
% 0.17/0.45 % (30896)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)
% 0.17/0.45 % (30894)ott+1011_4_er=known:fsd=off:nm=4:tgt=ground_499 on Vampire---4 for (499ds/0Mi)
% 0.17/0.45 % (30895)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)
% 0.17/0.45 % (30893)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)
% 0.17/0.45 % (30892)lrs-1004_3_av=off:ep=RSTC:fsd=off:fsr=off:urr=ec_only:stl=62_525 on Vampire---4 for (525ds/0Mi)
% 0.17/0.45 % (30897)ott+1010_2:5_bd=off:fsd=off:fde=none:nm=16:sos=on_419 on Vampire---4 for (419ds/0Mi)
% 0.17/0.45 % (30891)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)
% 0.23/0.48 % (30894)First to succeed.
% 0.23/0.48 % (30894)Refutation found. Thanks to Tanya!
% 0.23/0.48 % SZS status Theorem for Vampire---4
% 0.23/0.48 % SZS output start Proof for Vampire---4
% See solution above
% 0.23/0.48 % (30894)------------------------------
% 0.23/0.48 % (30894)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.23/0.48 % (30894)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.23/0.48 % (30894)Termination reason: Refutation
% 0.23/0.48
% 0.23/0.48 % (30894)Memory used [KB]: 6524
% 0.23/0.48 % (30894)Time elapsed: 0.030 s
% 0.23/0.48 % (30894)------------------------------
% 0.23/0.48 % (30894)------------------------------
% 0.23/0.48 % (30890)Success in time 0.094 s
% 0.23/0.48 % Vampire---4.8 exiting
%------------------------------------------------------------------------------