TSTP Solution File: NUM519+3 by Vampire---4.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : NUM519+3 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% Computer : n024.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 : Sun May 5 08:12:44 EDT 2024
% Result : Theorem 0.56s 0.74s
% Output : Refutation 0.56s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 8
% Syntax : Number of formulae : 27 ( 5 unt; 0 def)
% Number of atoms : 77 ( 18 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 70 ( 20 ~; 18 |; 28 &)
% ( 2 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 7 ( 5 usr; 4 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 5 con; 0-2 aty)
% Number of variables : 14 ( 2 !; 12 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f461,plain,
$false,
inference(avatar_sat_refutation,[],[f445,f456,f460]) ).
fof(f460,plain,
~ spl21_1,
inference(avatar_contradiction_clause,[],[f459]) ).
fof(f459,plain,
( $false
| ~ spl21_1 ),
inference(subsumption_resolution,[],[f458,f262]) ).
fof(f262,plain,
~ doDivides0(xr,xn),
inference(cnf_transformation,[],[f74]) ).
fof(f74,plain,
( ~ doDivides0(xr,xn)
& ! [X0] :
( xn != sdtasdt0(xr,X0)
| ~ aNaturalNumber0(X0) ) ),
inference(ennf_transformation,[],[f52]) ).
fof(f52,axiom,
~ ( doDivides0(xr,xn)
| ? [X0] :
( xn = sdtasdt0(xr,X0)
& aNaturalNumber0(X0) ) ),
file('/export/starexec/sandbox2/tmp/tmp.dmf5sZWNvK/Vampire---4.8_6532',m__2487) ).
fof(f458,plain,
( doDivides0(xr,xn)
| ~ spl21_1 ),
inference(resolution,[],[f440,f257]) ).
fof(f257,plain,
( ~ sP2
| doDivides0(xr,xn) ),
inference(cnf_transformation,[],[f171]) ).
fof(f171,plain,
( ( doDivides0(xr,xn)
& xn = sdtasdt0(xr,sK14)
& aNaturalNumber0(sK14) )
| ~ sP2 ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK14])],[f169,f170]) ).
fof(f170,plain,
( ? [X0] :
( xn = sdtasdt0(xr,X0)
& aNaturalNumber0(X0) )
=> ( xn = sdtasdt0(xr,sK14)
& aNaturalNumber0(sK14) ) ),
introduced(choice_axiom,[]) ).
fof(f169,plain,
( ( doDivides0(xr,xn)
& ? [X0] :
( xn = sdtasdt0(xr,X0)
& aNaturalNumber0(X0) ) )
| ~ sP2 ),
inference(rectify,[],[f168]) ).
fof(f168,plain,
( ( doDivides0(xr,xn)
& ? [X1] :
( xn = sdtasdt0(xr,X1)
& aNaturalNumber0(X1) ) )
| ~ sP2 ),
inference(nnf_transformation,[],[f142]) ).
fof(f142,plain,
( ( doDivides0(xr,xn)
& ? [X1] :
( xn = sdtasdt0(xr,X1)
& aNaturalNumber0(X1) ) )
| ~ sP2 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP2])]) ).
fof(f440,plain,
( sP2
| ~ spl21_1 ),
inference(avatar_component_clause,[],[f438]) ).
fof(f438,plain,
( spl21_1
<=> sP2 ),
introduced(avatar_definition,[new_symbols(naming,[spl21_1])]) ).
fof(f456,plain,
~ spl21_2,
inference(avatar_split_clause,[],[f264,f442]) ).
fof(f442,plain,
( spl21_2
<=> doDivides0(xr,xm) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_2])]) ).
fof(f264,plain,
~ doDivides0(xr,xm),
inference(cnf_transformation,[],[f75]) ).
fof(f75,plain,
( ~ doDivides0(xr,xm)
& ! [X0] :
( xm != sdtasdt0(xr,X0)
| ~ aNaturalNumber0(X0) ) ),
inference(ennf_transformation,[],[f53]) ).
fof(f53,axiom,
~ ( doDivides0(xr,xm)
| ? [X0] :
( xm = sdtasdt0(xr,X0)
& aNaturalNumber0(X0) ) ),
file('/export/starexec/sandbox2/tmp/tmp.dmf5sZWNvK/Vampire---4.8_6532',m__2698) ).
fof(f445,plain,
( spl21_1
| spl21_2 ),
inference(avatar_split_clause,[],[f260,f442,f438]) ).
fof(f260,plain,
( doDivides0(xr,xm)
| sP2 ),
inference(cnf_transformation,[],[f173]) ).
fof(f173,plain,
( ( doDivides0(xr,xm)
& xm = sdtasdt0(xr,sK15)
& aNaturalNumber0(sK15) )
| sP2 ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK15])],[f143,f172]) ).
fof(f172,plain,
( ? [X0] :
( xm = sdtasdt0(xr,X0)
& aNaturalNumber0(X0) )
=> ( xm = sdtasdt0(xr,sK15)
& aNaturalNumber0(sK15) ) ),
introduced(choice_axiom,[]) ).
fof(f143,plain,
( ( doDivides0(xr,xm)
& ? [X0] :
( xm = sdtasdt0(xr,X0)
& aNaturalNumber0(X0) ) )
| sP2 ),
inference(definition_folding,[],[f61,f142]) ).
fof(f61,plain,
( ( doDivides0(xr,xm)
& ? [X0] :
( xm = sdtasdt0(xr,X0)
& aNaturalNumber0(X0) ) )
| ( doDivides0(xr,xn)
& ? [X1] :
( xn = sdtasdt0(xr,X1)
& aNaturalNumber0(X1) ) ) ),
inference(rectify,[],[f51]) ).
fof(f51,axiom,
( ( doDivides0(xr,xm)
& ? [X0] :
( xm = sdtasdt0(xr,X0)
& aNaturalNumber0(X0) ) )
| ( doDivides0(xr,xn)
& ? [X0] :
( xn = sdtasdt0(xr,X0)
& aNaturalNumber0(X0) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.dmf5sZWNvK/Vampire---4.8_6532',m__2449) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : NUM519+3 : TPTP v8.1.2. Released v4.0.0.
% 0.07/0.14 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.15/0.35 % Computer : n024.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 : Fri May 3 14:38:08 EDT 2024
% 0.15/0.35 % CPUTime :
% 0.15/0.35 This is a FOF_CAX_RFO_SEQ problem
% 0.15/0.35 Running vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t 300 /export/starexec/sandbox2/tmp/tmp.dmf5sZWNvK/Vampire---4.8_6532
% 0.56/0.74 % (6647)lrs-21_1:1_to=lpo:sil=2000:sp=frequency:sos=on:lma=on:i=56:sd=2:ss=axioms:ep=R_0 on Vampire---4 for (2996ds/56Mi)
% 0.56/0.74 % (6640)dis-1011_2:1_sil=2000:lsd=20:nwc=5.0:flr=on:mep=off:st=3.0:i=34:sd=1:ep=RS:ss=axioms_0 on Vampire---4 for (2996ds/34Mi)
% 0.56/0.74 % (6642)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.56/0.74 % (6643)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on Vampire---4 for (2996ds/33Mi)
% 0.56/0.74 % (6644)lrs+2_1:1_sil=16000:fde=none:sos=all:nwc=5.0:i=34:ep=RS:s2pl=on:lma=on:afp=100000_0 on Vampire---4 for (2996ds/34Mi)
% 0.56/0.74 % (6641)lrs+1011_461:32768_sil=16000:irw=on:sp=frequency:lsd=20:fd=preordered:nwc=10.0:s2agt=32:alpa=false:cond=fast:s2a=on:i=51:s2at=3.0:awrs=decay:awrsf=691:bd=off:nm=20:fsr=off:amm=sco:uhcvi=on:rawr=on_0 on Vampire---4 for (2996ds/51Mi)
% 0.56/0.74 % (6645)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on Vampire---4 for (2996ds/45Mi)
% 0.56/0.74 % (6647)First to succeed.
% 0.56/0.74 % (6647)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-6639"
% 0.56/0.74 % (6647)Refutation found. Thanks to Tanya!
% 0.56/0.74 % SZS status Theorem for Vampire---4
% 0.56/0.74 % SZS output start Proof for Vampire---4
% See solution above
% 0.56/0.74 % (6647)------------------------------
% 0.56/0.74 % (6647)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.56/0.74 % (6647)Termination reason: Refutation
% 0.56/0.74
% 0.56/0.74 % (6647)Memory used [KB]: 1189
% 0.56/0.74 % (6647)Time elapsed: 0.004 s
% 0.56/0.74 % (6647)Instructions burned: 10 (million)
% 0.56/0.74 % (6639)Success in time 0.364 s
% 0.56/0.74 % Vampire---4.8 exiting
%------------------------------------------------------------------------------