TSTP Solution File: RNG125+1 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : RNG125+1 : 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 : n026.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 14:01:27 EDT 2023
% Result : ContradictoryAxioms 0.22s 0.43s
% Output : Refutation 0.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 12
% Syntax : Number of formulae : 46 ( 14 unt; 0 def)
% Number of atoms : 183 ( 7 equ)
% Maximal formula atoms : 14 ( 3 avg)
% Number of connectives : 217 ( 80 ~; 63 |; 56 &)
% ( 5 <=>; 13 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 9 ( 7 usr; 1 prp; 0-2 aty)
% Number of functors : 13 ( 13 usr; 5 con; 0-2 aty)
% Number of variables : 67 (; 51 !; 16 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f388,plain,
$false,
inference(subsumption_resolution,[],[f387,f174]) ).
fof(f174,plain,
aElement0(xa),
inference(cnf_transformation,[],[f39]) ).
fof(f39,axiom,
( aElement0(xb)
& aElement0(xa) ),
file('/export/starexec/sandbox/tmp/tmp.bemUSq5RUV/Vampire---4.8_20982',m__2091) ).
fof(f387,plain,
~ aElement0(xa),
inference(subsumption_resolution,[],[f386,f305]) ).
fof(f305,plain,
aElement0(xu),
inference(subsumption_resolution,[],[f299,f297]) ).
fof(f297,plain,
aSet0(xI),
inference(resolution,[],[f216,f172]) ).
fof(f172,plain,
aIdeal0(xI),
inference(cnf_transformation,[],[f42]) ).
fof(f42,axiom,
( xI = sdtpldt1(slsdtgt0(xa),slsdtgt0(xb))
& aIdeal0(xI) ),
file('/export/starexec/sandbox/tmp/tmp.bemUSq5RUV/Vampire---4.8_20982',m__2174) ).
fof(f216,plain,
! [X0] :
( ~ aIdeal0(X0)
| aSet0(X0) ),
inference(cnf_transformation,[],[f135]) ).
fof(f135,plain,
! [X0] :
( ( aIdeal0(X0)
| ( ( ( ~ aElementOf0(sdtasdt0(sK9(X0),sK8(X0)),X0)
& aElement0(sK9(X0)) )
| ( ~ aElementOf0(sdtpldt0(sK8(X0),sK10(X0)),X0)
& aElementOf0(sK10(X0),X0) ) )
& aElementOf0(sK8(X0),X0) )
| ~ aSet0(X0) )
& ( ( ! [X4] :
( ( ! [X5] :
( aElementOf0(sdtasdt0(X5,X4),X0)
| ~ aElement0(X5) )
& ! [X6] :
( aElementOf0(sdtpldt0(X4,X6),X0)
| ~ aElementOf0(X6,X0) ) )
| ~ aElementOf0(X4,X0) )
& aSet0(X0) )
| ~ aIdeal0(X0) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK8,sK9,sK10])],[f131,f134,f133,f132]) ).
fof(f132,plain,
! [X0] :
( ? [X1] :
( ( ? [X2] :
( ~ aElementOf0(sdtasdt0(X2,X1),X0)
& aElement0(X2) )
| ? [X3] :
( ~ aElementOf0(sdtpldt0(X1,X3),X0)
& aElementOf0(X3,X0) ) )
& aElementOf0(X1,X0) )
=> ( ( ? [X2] :
( ~ aElementOf0(sdtasdt0(X2,sK8(X0)),X0)
& aElement0(X2) )
| ? [X3] :
( ~ aElementOf0(sdtpldt0(sK8(X0),X3),X0)
& aElementOf0(X3,X0) ) )
& aElementOf0(sK8(X0),X0) ) ),
introduced(choice_axiom,[]) ).
fof(f133,plain,
! [X0] :
( ? [X2] :
( ~ aElementOf0(sdtasdt0(X2,sK8(X0)),X0)
& aElement0(X2) )
=> ( ~ aElementOf0(sdtasdt0(sK9(X0),sK8(X0)),X0)
& aElement0(sK9(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f134,plain,
! [X0] :
( ? [X3] :
( ~ aElementOf0(sdtpldt0(sK8(X0),X3),X0)
& aElementOf0(X3,X0) )
=> ( ~ aElementOf0(sdtpldt0(sK8(X0),sK10(X0)),X0)
& aElementOf0(sK10(X0),X0) ) ),
introduced(choice_axiom,[]) ).
fof(f131,plain,
! [X0] :
( ( aIdeal0(X0)
| ? [X1] :
( ( ? [X2] :
( ~ aElementOf0(sdtasdt0(X2,X1),X0)
& aElement0(X2) )
| ? [X3] :
( ~ aElementOf0(sdtpldt0(X1,X3),X0)
& aElementOf0(X3,X0) ) )
& aElementOf0(X1,X0) )
| ~ aSet0(X0) )
& ( ( ! [X4] :
( ( ! [X5] :
( aElementOf0(sdtasdt0(X5,X4),X0)
| ~ aElement0(X5) )
& ! [X6] :
( aElementOf0(sdtpldt0(X4,X6),X0)
| ~ aElementOf0(X6,X0) ) )
| ~ aElementOf0(X4,X0) )
& aSet0(X0) )
| ~ aIdeal0(X0) ) ),
inference(rectify,[],[f130]) ).
fof(f130,plain,
! [X0] :
( ( aIdeal0(X0)
| ? [X1] :
( ( ? [X2] :
( ~ aElementOf0(sdtasdt0(X2,X1),X0)
& aElement0(X2) )
| ? [X3] :
( ~ aElementOf0(sdtpldt0(X1,X3),X0)
& aElementOf0(X3,X0) ) )
& aElementOf0(X1,X0) )
| ~ aSet0(X0) )
& ( ( ! [X1] :
( ( ! [X2] :
( aElementOf0(sdtasdt0(X2,X1),X0)
| ~ aElement0(X2) )
& ! [X3] :
( aElementOf0(sdtpldt0(X1,X3),X0)
| ~ aElementOf0(X3,X0) ) )
| ~ aElementOf0(X1,X0) )
& aSet0(X0) )
| ~ aIdeal0(X0) ) ),
inference(flattening,[],[f129]) ).
fof(f129,plain,
! [X0] :
( ( aIdeal0(X0)
| ? [X1] :
( ( ? [X2] :
( ~ aElementOf0(sdtasdt0(X2,X1),X0)
& aElement0(X2) )
| ? [X3] :
( ~ aElementOf0(sdtpldt0(X1,X3),X0)
& aElementOf0(X3,X0) ) )
& aElementOf0(X1,X0) )
| ~ aSet0(X0) )
& ( ( ! [X1] :
( ( ! [X2] :
( aElementOf0(sdtasdt0(X2,X1),X0)
| ~ aElement0(X2) )
& ! [X3] :
( aElementOf0(sdtpldt0(X1,X3),X0)
| ~ aElementOf0(X3,X0) ) )
| ~ aElementOf0(X1,X0) )
& aSet0(X0) )
| ~ aIdeal0(X0) ) ),
inference(nnf_transformation,[],[f74]) ).
fof(f74,plain,
! [X0] :
( aIdeal0(X0)
<=> ( ! [X1] :
( ( ! [X2] :
( aElementOf0(sdtasdt0(X2,X1),X0)
| ~ aElement0(X2) )
& ! [X3] :
( aElementOf0(sdtpldt0(X1,X3),X0)
| ~ aElementOf0(X3,X0) ) )
| ~ aElementOf0(X1,X0) )
& aSet0(X0) ) ),
inference(ennf_transformation,[],[f56]) ).
fof(f56,plain,
! [X0] :
( aIdeal0(X0)
<=> ( ! [X1] :
( aElementOf0(X1,X0)
=> ( ! [X2] :
( aElement0(X2)
=> aElementOf0(sdtasdt0(X2,X1),X0) )
& ! [X3] :
( aElementOf0(X3,X0)
=> aElementOf0(sdtpldt0(X1,X3),X0) ) ) )
& aSet0(X0) ) ),
inference(rectify,[],[f24]) ).
fof(f24,axiom,
! [X0] :
( aIdeal0(X0)
<=> ( ! [X1] :
( aElementOf0(X1,X0)
=> ( ! [X2] :
( aElement0(X2)
=> aElementOf0(sdtasdt0(X2,X1),X0) )
& ! [X2] :
( aElementOf0(X2,X0)
=> aElementOf0(sdtpldt0(X1,X2),X0) ) ) )
& aSet0(X0) ) ),
file('/export/starexec/sandbox/tmp/tmp.bemUSq5RUV/Vampire---4.8_20982',mDefIdeal) ).
fof(f299,plain,
( aElement0(xu)
| ~ aSet0(xI) ),
inference(resolution,[],[f193,f176]) ).
fof(f176,plain,
aElementOf0(xu,xI),
inference(cnf_transformation,[],[f62]) ).
fof(f62,plain,
( ! [X0] :
( ~ iLess0(sbrdtbr0(X0),sbrdtbr0(xu))
| sz00 = X0
| ~ aElementOf0(X0,xI) )
& sz00 != xu
& aElementOf0(xu,xI) ),
inference(flattening,[],[f61]) ).
fof(f61,plain,
( ! [X0] :
( ~ iLess0(sbrdtbr0(X0),sbrdtbr0(xu))
| sz00 = X0
| ~ aElementOf0(X0,xI) )
& sz00 != xu
& aElementOf0(xu,xI) ),
inference(ennf_transformation,[],[f45]) ).
fof(f45,axiom,
( ! [X0] :
( ( sz00 != X0
& aElementOf0(X0,xI) )
=> ~ iLess0(sbrdtbr0(X0),sbrdtbr0(xu)) )
& sz00 != xu
& aElementOf0(xu,xI) ),
file('/export/starexec/sandbox/tmp/tmp.bemUSq5RUV/Vampire---4.8_20982',m__2273) ).
fof(f193,plain,
! [X0,X1] :
( ~ aElementOf0(X1,X0)
| aElement0(X1)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f64]) ).
fof(f64,plain,
! [X0] :
( ! [X1] :
( aElement0(X1)
| ~ aElementOf0(X1,X0) )
| ~ aSet0(X0) ),
inference(ennf_transformation,[],[f20]) ).
fof(f20,axiom,
! [X0] :
( aSet0(X0)
=> ! [X1] :
( aElementOf0(X1,X0)
=> aElement0(X1) ) ),
file('/export/starexec/sandbox/tmp/tmp.bemUSq5RUV/Vampire---4.8_20982',mEOfElem) ).
fof(f386,plain,
( ~ aElement0(xu)
| ~ aElement0(xa) ),
inference(subsumption_resolution,[],[f372,f385]) ).
fof(f385,plain,
~ aDivisorOf0(xu,xa),
inference(subsumption_resolution,[],[f184,f384]) ).
fof(f384,plain,
aDivisorOf0(xu,xb),
inference(subsumption_resolution,[],[f383,f175]) ).
fof(f175,plain,
aElement0(xb),
inference(cnf_transformation,[],[f39]) ).
fof(f383,plain,
( aDivisorOf0(xu,xb)
| ~ aElement0(xb) ),
inference(subsumption_resolution,[],[f371,f305]) ).
fof(f371,plain,
( aDivisorOf0(xu,xb)
| ~ aElement0(xu)
| ~ aElement0(xb) ),
inference(resolution,[],[f208,f169]) ).
fof(f169,plain,
doDivides0(xu,xb),
inference(cnf_transformation,[],[f49]) ).
fof(f49,axiom,
doDivides0(xu,xb),
file('/export/starexec/sandbox/tmp/tmp.bemUSq5RUV/Vampire---4.8_20982',m__2612) ).
fof(f208,plain,
! [X0,X1] :
( ~ doDivides0(X1,X0)
| aDivisorOf0(X1,X0)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(cnf_transformation,[],[f121]) ).
fof(f121,plain,
! [X0] :
( ! [X1] :
( ( aDivisorOf0(X1,X0)
| ~ doDivides0(X1,X0)
| ~ aElement0(X1) )
& ( ( doDivides0(X1,X0)
& aElement0(X1) )
| ~ aDivisorOf0(X1,X0) ) )
| ~ aElement0(X0) ),
inference(flattening,[],[f120]) ).
fof(f120,plain,
! [X0] :
( ! [X1] :
( ( aDivisorOf0(X1,X0)
| ~ doDivides0(X1,X0)
| ~ aElement0(X1) )
& ( ( doDivides0(X1,X0)
& aElement0(X1) )
| ~ aDivisorOf0(X1,X0) ) )
| ~ aElement0(X0) ),
inference(nnf_transformation,[],[f72]) ).
fof(f72,plain,
! [X0] :
( ! [X1] :
( aDivisorOf0(X1,X0)
<=> ( doDivides0(X1,X0)
& aElement0(X1) ) )
| ~ aElement0(X0) ),
inference(ennf_transformation,[],[f34]) ).
fof(f34,axiom,
! [X0] :
( aElement0(X0)
=> ! [X1] :
( aDivisorOf0(X1,X0)
<=> ( doDivides0(X1,X0)
& aElement0(X1) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.bemUSq5RUV/Vampire---4.8_20982',mDefDvs) ).
fof(f184,plain,
( ~ aDivisorOf0(xu,xb)
| ~ aDivisorOf0(xu,xa) ),
inference(cnf_transformation,[],[f63]) ).
fof(f63,plain,
( ~ aDivisorOf0(xu,xb)
| ~ aDivisorOf0(xu,xa) ),
inference(ennf_transformation,[],[f46]) ).
fof(f46,axiom,
~ ( aDivisorOf0(xu,xb)
& aDivisorOf0(xu,xa) ),
file('/export/starexec/sandbox/tmp/tmp.bemUSq5RUV/Vampire---4.8_20982',m__2383) ).
fof(f372,plain,
( aDivisorOf0(xu,xa)
| ~ aElement0(xu)
| ~ aElement0(xa) ),
inference(resolution,[],[f208,f170]) ).
fof(f170,plain,
doDivides0(xu,xa),
inference(cnf_transformation,[],[f48]) ).
fof(f48,axiom,
doDivides0(xu,xa),
file('/export/starexec/sandbox/tmp/tmp.bemUSq5RUV/Vampire---4.8_20982',m__2479) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.14/0.13 % Problem : RNG125+1 : TPTP v8.1.2. Released v4.0.0.
% 0.14/0.14 % Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.15/0.35 % Computer : n026.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 300
% 0.15/0.35 % DateTime : Sun Aug 27 01:45:48 EDT 2023
% 0.15/0.36 % CPUTime :
% 0.15/0.36 This is a FOF_CAX_RFO_SEQ problem
% 0.15/0.36 Running vampire_casc2023 --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/tmp/tmp.bemUSq5RUV/Vampire---4.8_20982
% 0.15/0.36 % (21092)Running in auto input_syntax mode. Trying TPTP
% 0.15/0.40 % (21096)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)
% 0.15/0.42 % (21094)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)
% 0.15/0.42 % (21098)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)
% 0.15/0.42 % (21099)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)
% 0.15/0.42 % (21100)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)
% 0.15/0.42 % (21101)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)
% 0.15/0.42 % (21097)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 % (21094)First to succeed.
% 0.22/0.43 % (21094)Refutation found. Thanks to Tanya!
% 0.22/0.43 % SZS status ContradictoryAxioms for Vampire---4
% 0.22/0.43 % SZS output start Proof for Vampire---4
% See solution above
% 0.22/0.43 % (21094)------------------------------
% 0.22/0.43 % (21094)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.22/0.43 % (21094)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.22/0.43 % (21094)Termination reason: Refutation
% 0.22/0.43
% 0.22/0.43 % (21094)Memory used [KB]: 1279
% 0.22/0.43 % (21094)Time elapsed: 0.012 s
% 0.22/0.43 % (21094)------------------------------
% 0.22/0.43 % (21094)------------------------------
% 0.22/0.43 % (21092)Success in time 0.072 s
% 0.22/0.44 % Vampire---4.8 exiting
%------------------------------------------------------------------------------