TSTP Solution File: NUM009-1 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : NUM009-1 : TPTP v8.1.2. Bugfixed v1.2.1.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% Computer : n009.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 : Wed May 1 03:26:26 EDT 2024
% Result : Unsatisfiable 0.56s 0.75s
% Output : Refutation 0.56s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 5
% Syntax : Number of formulae : 10 ( 6 unt; 0 def)
% Number of atoms : 15 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 13 ( 8 ~; 5 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 3 con; 0-1 aty)
% Number of variables : 5 ( 5 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f470,plain,
$false,
inference(resolution,[],[f457,f61]) ).
fof(f61,axiom,
member(empty_set,infinity),
file('/export/starexec/sandbox/tmp/tmp.ryYVAaZCBT/Vampire---4.8_31539',infinity2) ).
fof(f457,plain,
! [X0] : ~ member(empty_set,X0),
inference(resolution,[],[f432,f1]) ).
fof(f1,axiom,
! [X0,X1] :
( little_set(X0)
| ~ member(X0,X1) ),
file('/export/starexec/sandbox/tmp/tmp.ryYVAaZCBT/Vampire---4.8_31539',a2) ).
fof(f432,plain,
~ little_set(empty_set),
inference(subsumption_resolution,[],[f426,f220]) ).
fof(f220,axiom,
~ member(empty_set,natural_numbers),
file('/export/starexec/sandbox/tmp/tmp.ryYVAaZCBT/Vampire---4.8_31539',prove_zero_is_a_natural) ).
fof(f426,plain,
( ~ little_set(empty_set)
| member(empty_set,natural_numbers) ),
inference(resolution,[],[f294,f169]) ).
fof(f169,axiom,
! [X3] :
( member(empty_set,f44(X3))
| ~ little_set(X3)
| member(X3,natural_numbers) ),
file('/export/starexec/sandbox/tmp/tmp.ryYVAaZCBT/Vampire---4.8_31539',natural_numbers4) ).
fof(f294,plain,
~ member(empty_set,f44(empty_set)),
inference(resolution,[],[f220,f171]) ).
fof(f171,axiom,
! [X3] :
( member(X3,natural_numbers)
| ~ member(X3,f44(X3)) ),
file('/export/starexec/sandbox/tmp/tmp.ryYVAaZCBT/Vampire---4.8_31539',natural_numbers6) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : NUM009-1 : TPTP v8.1.2. Bugfixed v1.2.1.
% 0.11/0.14 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.14/0.35 % Computer : n009.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Tue Apr 30 16:51:41 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.14/0.35 This is a CNF_UNS_RFO_SEQ_NHN problem
% 0.14/0.35 Running vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t 300 /export/starexec/sandbox/tmp/tmp.ryYVAaZCBT/Vampire---4.8_31539
% 0.56/0.74 % (31780)lrs+21_1:5_sil=2000:sos=on:urr=on:newcnf=on:slsq=on:i=83:slsql=off:bd=off:nm=2:ss=axioms:st=1.5:sp=const_min:gsp=on:rawr=on_0 on Vampire---4 for (2996ds/83Mi)
% 0.56/0.74 % (31780)Refutation not found, incomplete strategy% (31780)------------------------------
% 0.56/0.74 % (31780)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.56/0.74 % (31780)Termination reason: Refutation not found, incomplete strategy
% 0.56/0.74
% 0.56/0.74 % (31780)Memory used [KB]: 1183
% 0.56/0.74 % (31780)Time elapsed: 0.002 s
% 0.56/0.74 % (31780)Instructions burned: 3 (million)
% 0.56/0.74 % (31780)------------------------------
% 0.56/0.74 % (31780)------------------------------
% 0.56/0.74 % (31774)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 % (31776)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 % (31775)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 % (31778)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 % (31779)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 % (31777)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 % (31776)Refutation not found, incomplete strategy% (31776)------------------------------
% 0.56/0.74 % (31776)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.56/0.74 % (31776)Termination reason: Refutation not found, incomplete strategy
% 0.56/0.74
% 0.56/0.74 % (31776)Memory used [KB]: 1182
% 0.56/0.74 % (31776)Time elapsed: 0.002 s
% 0.56/0.74 % (31776)Instructions burned: 2 (million)
% 0.56/0.74 % (31776)------------------------------
% 0.56/0.74 % (31776)------------------------------
% 0.56/0.74 % (31779)Refutation not found, incomplete strategy% (31779)------------------------------
% 0.56/0.74 % (31779)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.56/0.74 % (31774)Refutation not found, incomplete strategy% (31774)------------------------------
% 0.56/0.74 % (31774)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.56/0.74 % (31779)Termination reason: Refutation not found, incomplete strategy
% 0.56/0.74 % (31774)Termination reason: Refutation not found, incomplete strategy
% 0.56/0.74
% 0.56/0.74 % (31774)Memory used [KB]: 1183
% 0.56/0.74 % (31774)Time elapsed: 0.003 s
% 0.56/0.74 % (31774)Instructions burned: 3 (million)
% 0.56/0.74 % (31774)------------------------------
% 0.56/0.74 % (31774)------------------------------
% 0.56/0.74 % (31777)Refutation not found, incomplete strategy% (31777)------------------------------
% 0.56/0.74 % (31777)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.56/0.74 % (31777)Termination reason: Refutation not found, incomplete strategy
% 0.56/0.74
% 0.56/0.74 % (31777)Memory used [KB]: 1183
% 0.56/0.74 % (31777)Time elapsed: 0.002 s
% 0.56/0.74 % (31777)Instructions burned: 2 (million)
% 0.56/0.74 % (31777)------------------------------
% 0.56/0.74 % (31777)------------------------------
% 0.56/0.74
% 0.56/0.74 % (31779)Memory used [KB]: 1183
% 0.56/0.74 % (31779)Time elapsed: 0.002 s
% 0.56/0.74 % (31779)Instructions burned: 2 (million)
% 0.56/0.74 % (31779)------------------------------
% 0.56/0.74 % (31779)------------------------------
% 0.56/0.74 % (31781)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 % (31781)Refutation not found, incomplete strategy% (31781)------------------------------
% 0.56/0.74 % (31781)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.56/0.74 % (31781)Termination reason: Refutation not found, incomplete strategy
% 0.56/0.74
% 0.56/0.74 % (31781)Memory used [KB]: 1183
% 0.56/0.74 % (31781)Time elapsed: 0.001 s
% 0.56/0.74 % (31781)Instructions burned: 2 (million)
% 0.56/0.74 % (31781)------------------------------
% 0.56/0.74 % (31781)------------------------------
% 0.56/0.74 % (31782)lrs+21_1:16_sil=2000:sp=occurrence:urr=on:flr=on:i=55:sd=1:nm=0:ins=3:ss=included:rawr=on:br=off_0 on Vampire---4 for (2996ds/55Mi)
% 0.56/0.74 % (31786)lrs-1010_1:1_to=lpo:sil=2000:sp=reverse_arity:sos=on:urr=ec_only:i=518:sd=2:bd=off:ss=axioms:sgt=16_0 on Vampire---4 for (2996ds/518Mi)
% 0.56/0.74 % (31784)lrs+1010_1:2_sil=4000:tgt=ground:nwc=10.0:st=2.0:i=208:sd=1:bd=off:ss=axioms_0 on Vampire---4 for (2996ds/208Mi)
% 0.56/0.74 % (31783)dis+3_25:4_sil=16000:sos=all:erd=off:i=50:s2at=4.0:bd=off:nm=60:sup=off:cond=on:av=off:ins=2:nwc=10.0:etr=on:to=lpo:s2agt=20:fd=off:bsr=unit_only:slsq=on:slsqr=28,19:awrs=converge:awrsf=500:tgt=ground:bs=unit_only_0 on Vampire---4 for (2996ds/50Mi)
% 0.56/0.74 % (31787)lrs+1011_87677:1048576_sil=8000:sos=on:spb=non_intro:nwc=10.0:kmz=on:i=42:ep=RS:nm=0:ins=1:uhcvi=on:rawr=on:fde=unused:afp=2000:afq=1.444:plsq=on:nicw=on_0 on Vampire---4 for (2996ds/42Mi)
% 0.56/0.74 % (31778)Refutation not found, incomplete strategy% (31778)------------------------------
% 0.56/0.74 % (31778)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.56/0.74 % (31778)Termination reason: Refutation not found, incomplete strategy
% 0.56/0.74
% 0.56/0.74 % (31778)Memory used [KB]: 1260
% 0.56/0.74 % (31778)Time elapsed: 0.007 s
% 0.56/0.74 % (31778)Instructions burned: 12 (million)
% 0.56/0.74 % (31778)------------------------------
% 0.56/0.74 % (31778)------------------------------
% 0.56/0.74 % (31786)Refutation not found, incomplete strategy% (31786)------------------------------
% 0.56/0.74 % (31786)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.56/0.74 % (31786)Termination reason: Refutation not found, incomplete strategy
% 0.56/0.74
% 0.56/0.74 % (31786)Memory used [KB]: 1183
% 0.56/0.74 % (31786)Time elapsed: 0.003 s
% 0.56/0.74 % (31786)Instructions burned: 2 (million)
% 0.56/0.74 % (31786)------------------------------
% 0.56/0.74 % (31786)------------------------------
% 0.56/0.74 % (31782)Refutation not found, incomplete strategy% (31782)------------------------------
% 0.56/0.74 % (31782)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.56/0.74 % (31782)Termination reason: Refutation not found, incomplete strategy
% 0.56/0.74
% 0.56/0.74 % (31782)Memory used [KB]: 1182
% 0.56/0.74 % (31782)Time elapsed: 0.004 s
% 0.56/0.74 % (31782)Instructions burned: 2 (million)
% 0.56/0.74 % (31782)------------------------------
% 0.56/0.74 % (31782)------------------------------
% 0.56/0.74 % (31784)Refutation not found, incomplete strategy% (31784)------------------------------
% 0.56/0.74 % (31784)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.56/0.74 % (31784)Termination reason: Refutation not found, incomplete strategy
% 0.56/0.74
% 0.56/0.74 % (31784)Memory used [KB]: 1183
% 0.56/0.74 % (31784)Time elapsed: 0.003 s
% 0.56/0.74 % (31784)Instructions burned: 3 (million)
% 0.56/0.75 % (31784)------------------------------
% 0.56/0.75 % (31784)------------------------------
% 0.56/0.75 % (31785)lrs-1011_1:1_sil=4000:plsq=on:plsqr=32,1:sp=frequency:plsql=on:nwc=10.0:i=52:aac=none:afr=on:ss=axioms:er=filter:sgt=16:rawr=on:etr=on:lma=on_0 on Vampire---4 for (2996ds/52Mi)
% 0.56/0.75 % (31787)First to succeed.
% 0.56/0.75 % (31785)Refutation not found, incomplete strategy% (31785)------------------------------
% 0.56/0.75 % (31785)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.56/0.75 % (31785)Termination reason: Refutation not found, incomplete strategy
% 0.56/0.75
% 0.56/0.75 % (31785)Memory used [KB]: 1183
% 0.56/0.75 % (31785)Time elapsed: 0.002 s
% 0.56/0.75 % (31785)Instructions burned: 2 (million)
% 0.56/0.75 % (31785)------------------------------
% 0.56/0.75 % (31785)------------------------------
% 0.56/0.75 % (31788)dis+1011_1258907:1048576_bsr=unit_only:to=lpo:drc=off:sil=2000:tgt=full:fde=none:sp=frequency:spb=goal:rnwc=on:nwc=6.70083:sac=on:newcnf=on:st=2:i=243:bs=unit_only:sd=3:afp=300:awrs=decay:awrsf=218:nm=16:ins=3:afq=3.76821:afr=on:ss=axioms:sgt=5:rawr=on:add=off:bsd=on_0 on Vampire---4 for (2996ds/243Mi)
% 0.56/0.75 % (31787)Refutation found. Thanks to Tanya!
% 0.56/0.75 % SZS status Unsatisfiable for Vampire---4
% 0.56/0.75 % SZS output start Proof for Vampire---4
% See solution above
% 0.56/0.75 % (31787)------------------------------
% 0.56/0.75 % (31787)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.56/0.75 % (31787)Termination reason: Refutation
% 0.56/0.75
% 0.56/0.75 % (31787)Memory used [KB]: 1310
% 0.56/0.75 % (31787)Time elapsed: 0.005 s
% 0.56/0.75 % (31787)Instructions burned: 14 (million)
% 0.56/0.75 % (31787)------------------------------
% 0.56/0.75 % (31787)------------------------------
% 0.56/0.75 % (31770)Success in time 0.385 s
% 0.56/0.75 % Vampire---4.8 exiting
%------------------------------------------------------------------------------