TSTP Solution File: RNG116+4 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : RNG116+4 : 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 : 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 : Thu Aug 31 14:01:24 EDT 2023
% Result : Theorem 0.22s 0.45s
% Output : Refutation 0.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 4
% Syntax : Number of formulae : 18 ( 9 unt; 0 def)
% Number of atoms : 50 ( 23 equ)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 42 ( 10 ~; 4 |; 26 &)
% ( 0 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 7 con; 0-2 aty)
% Number of variables : 14 (; 4 !; 10 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f707,plain,
$false,
inference(subsumption_resolution,[],[f706,f345]) ).
fof(f345,plain,
xu = sdtpldt0(xk,xl),
inference(cnf_transformation,[],[f189]) ).
fof(f189,plain,
( xu = sdtpldt0(xk,xl)
& aElementOf0(xl,slsdtgt0(xb))
& xl = sdtasdt0(xb,sK42)
& aElement0(sK42)
& aElementOf0(xk,slsdtgt0(xa))
& xk = sdtasdt0(xa,sK43)
& aElement0(sK43) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK42,sK43])],[f53,f188,f187]) ).
fof(f187,plain,
( ? [X0] :
( sdtasdt0(xb,X0) = xl
& aElement0(X0) )
=> ( xl = sdtasdt0(xb,sK42)
& aElement0(sK42) ) ),
introduced(choice_axiom,[]) ).
fof(f188,plain,
( ? [X1] :
( sdtasdt0(xa,X1) = xk
& aElement0(X1) )
=> ( xk = sdtasdt0(xa,sK43)
& aElement0(sK43) ) ),
introduced(choice_axiom,[]) ).
fof(f53,plain,
( xu = sdtpldt0(xk,xl)
& aElementOf0(xl,slsdtgt0(xb))
& ? [X0] :
( sdtasdt0(xb,X0) = xl
& aElement0(X0) )
& aElementOf0(xk,slsdtgt0(xa))
& ? [X1] :
( sdtasdt0(xa,X1) = xk
& aElement0(X1) ) ),
inference(rectify,[],[f47]) ).
fof(f47,axiom,
( xu = sdtpldt0(xk,xl)
& aElementOf0(xl,slsdtgt0(xb))
& ? [X0] :
( sdtasdt0(xb,X0) = xl
& aElement0(X0) )
& aElementOf0(xk,slsdtgt0(xa))
& ? [X0] :
( sdtasdt0(xa,X0) = xk
& aElement0(X0) ) ),
file('/export/starexec/sandbox/tmp/tmp.2xNXKRYvqm/Vampire---4.8_19879',m__2456) ).
fof(f706,plain,
xu != sdtpldt0(xk,xl),
inference(forward_demodulation,[],[f705,f340]) ).
fof(f340,plain,
xk = sdtasdt0(xa,sK43),
inference(cnf_transformation,[],[f189]) ).
fof(f705,plain,
xu != sdtpldt0(sdtasdt0(xa,sK43),xl),
inference(forward_demodulation,[],[f688,f343]) ).
fof(f343,plain,
xl = sdtasdt0(xb,sK42),
inference(cnf_transformation,[],[f189]) ).
fof(f688,plain,
xu != sdtpldt0(sdtasdt0(xa,sK43),sdtasdt0(xb,sK42)),
inference(unit_resulting_resolution,[],[f339,f342,f287]) ).
fof(f287,plain,
! [X0,X1] :
( xu != sdtpldt0(sdtasdt0(xa,X0),sdtasdt0(xb,X1))
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(cnf_transformation,[],[f65]) ).
fof(f65,plain,
! [X0,X1] :
( xu != sdtpldt0(sdtasdt0(xa,X0),sdtasdt0(xb,X1))
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(ennf_transformation,[],[f49]) ).
fof(f49,negated_conjecture,
~ ? [X0,X1] :
( xu = sdtpldt0(sdtasdt0(xa,X0),sdtasdt0(xb,X1))
& aElement0(X1)
& aElement0(X0) ),
inference(negated_conjecture,[],[f48]) ).
fof(f48,conjecture,
? [X0,X1] :
( xu = sdtpldt0(sdtasdt0(xa,X0),sdtasdt0(xb,X1))
& aElement0(X1)
& aElement0(X0) ),
file('/export/starexec/sandbox/tmp/tmp.2xNXKRYvqm/Vampire---4.8_19879',m__) ).
fof(f342,plain,
aElement0(sK42),
inference(cnf_transformation,[],[f189]) ).
fof(f339,plain,
aElement0(sK43),
inference(cnf_transformation,[],[f189]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : RNG116+4 : TPTP v8.1.2. Released v4.0.0.
% 0.12/0.15 % Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.16/0.36 % Computer : n007.cluster.edu
% 0.16/0.36 % Model : x86_64 x86_64
% 0.16/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.36 % Memory : 8042.1875MB
% 0.16/0.36 % 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 02:06:42 EDT 2023
% 0.16/0.37 % CPUTime :
% 0.16/0.37 This is a FOF_THM_RFO_SEQ problem
% 0.22/0.37 Running vampire_casc2023 --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/tmp/tmp.2xNXKRYvqm/Vampire---4.8_19879
% 0.22/0.37 % (20206)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.43 % (20212)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)
% 0.22/0.44 % (20210)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)
% 0.22/0.44 % (20209)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)
% 0.22/0.44 % (20207)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)
% 0.22/0.44 % (20208)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)
% 0.22/0.44 % (20211)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)
% 0.22/0.44 % (20213)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)
% 0.22/0.45 % (20212)First to succeed.
% 0.22/0.45 % (20207)Also succeeded, but the first one will report.
% 0.22/0.45 % (20212)Refutation found. Thanks to Tanya!
% 0.22/0.45 % SZS status Theorem for Vampire---4
% 0.22/0.45 % SZS output start Proof for Vampire---4
% See solution above
% 0.22/0.45 % (20212)------------------------------
% 0.22/0.45 % (20212)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.22/0.45 % (20212)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.22/0.45 % (20212)Termination reason: Refutation
% 0.22/0.45
% 0.22/0.45 % (20212)Memory used [KB]: 1535
% 0.22/0.45 % (20212)Time elapsed: 0.012 s
% 0.22/0.45 % (20212)------------------------------
% 0.22/0.45 % (20212)------------------------------
% 0.22/0.45 % (20206)Success in time 0.074 s
% 0.22/0.45 % Vampire---4.8 exiting
%------------------------------------------------------------------------------