TSTP Solution File: SET093+1 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SET093+1 : TPTP v8.1.2. Bugfixed v7.3.0.
% 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 : n011.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 03:44:58 EDT 2024
% Result : Theorem 0.56s 0.76s
% Output : Refutation 0.56s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 4
% Syntax : Number of formulae : 14 ( 9 unt; 0 def)
% Number of atoms : 21 ( 10 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 13 ( 6 ~; 0 |; 4 &)
% ( 0 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 2 con; 0-2 aty)
% Number of variables : 10 ( 8 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f284,plain,
$false,
inference(resolution,[],[f283,f235]) ).
fof(f235,plain,
~ member(sK6,universal_class),
inference(cnf_transformation,[],[f142]) ).
fof(f142,plain,
( ~ member(sK6,universal_class)
& sK6 = singleton(member_of(sK6)) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK6])],[f92,f141]) ).
fof(f141,plain,
( ? [X0] :
( ~ member(X0,universal_class)
& singleton(member_of(X0)) = X0 )
=> ( ~ member(sK6,universal_class)
& sK6 = singleton(member_of(sK6)) ) ),
introduced(choice_axiom,[]) ).
fof(f92,plain,
? [X0] :
( ~ member(X0,universal_class)
& singleton(member_of(X0)) = X0 ),
inference(ennf_transformation,[],[f49]) ).
fof(f49,negated_conjecture,
~ ! [X0] :
( singleton(member_of(X0)) = X0
=> member(X0,universal_class) ),
inference(negated_conjecture,[],[f48]) ).
fof(f48,conjecture,
! [X0] :
( singleton(member_of(X0)) = X0
=> member(X0,universal_class) ),
file('/export/starexec/sandbox2/tmp/tmp.WHwHX5NSsO/Vampire---4.8_17808',corollary_2_to_singletons_are_sets) ).
fof(f283,plain,
member(sK6,universal_class),
inference(superposition,[],[f154,f276]) ).
fof(f276,plain,
sK6 = unordered_pair(member_of(sK6),member_of(sK6)),
inference(definition_unfolding,[],[f234,f155]) ).
fof(f155,plain,
! [X0] : singleton(X0) = unordered_pair(X0,X0),
inference(cnf_transformation,[],[f6]) ).
fof(f6,axiom,
! [X0] : singleton(X0) = unordered_pair(X0,X0),
file('/export/starexec/sandbox2/tmp/tmp.WHwHX5NSsO/Vampire---4.8_17808',singleton_set_defn) ).
fof(f234,plain,
sK6 = singleton(member_of(sK6)),
inference(cnf_transformation,[],[f142]) ).
fof(f154,plain,
! [X0,X1] : member(unordered_pair(X0,X1),universal_class),
inference(cnf_transformation,[],[f5]) ).
fof(f5,axiom,
! [X0,X1] : member(unordered_pair(X0,X1),universal_class),
file('/export/starexec/sandbox2/tmp/tmp.WHwHX5NSsO/Vampire---4.8_17808',unordered_pair) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : SET093+1 : TPTP v8.1.2. Bugfixed v7.3.0.
% 0.12/0.15 % 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
% 0.15/0.36 % Computer : n011.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Tue Apr 30 17:17:32 EDT 2024
% 0.15/0.36 % CPUTime :
% 0.15/0.36 This is a FOF_THM_RFO_SEQ problem
% 0.15/0.37 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.WHwHX5NSsO/Vampire---4.8_17808
% 0.56/0.76 % (18001)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)
% 0.56/0.76 % (18000)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)
% 0.56/0.76 % (18001)Refutation not found, incomplete strategy% (18001)------------------------------
% 0.56/0.76 % (18001)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.56/0.76 % (18001)Termination reason: Refutation not found, incomplete strategy
% 0.56/0.76
% 0.56/0.76 % (18001)Memory used [KB]: 1034
% 0.56/0.76 % (18001)Time elapsed: 0.001 s
% 0.56/0.76 % (18001)Instructions burned: 2 (million)
% 0.56/0.76 % (18001)------------------------------
% 0.56/0.76 % (18001)------------------------------
% 0.56/0.76 % (18000)Refutation not found, incomplete strategy% (18000)------------------------------
% 0.56/0.76 % (18000)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.56/0.76 % (18000)Termination reason: Refutation not found, incomplete strategy
% 0.56/0.76
% 0.56/0.76 % (18000)Memory used [KB]: 1037
% 0.56/0.76 % (18000)Time elapsed: 0.002 s
% 0.56/0.76 % (18000)Instructions burned: 2 (million)
% 0.56/0.76 % (18000)------------------------------
% 0.56/0.76 % (18000)------------------------------
% 0.56/0.76 % (17994)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)
% 0.56/0.76 % (17997)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)
% 0.56/0.76 % (17998)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)
% 0.56/0.76 % (17999)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)
% 0.56/0.76 % (17996)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.56/0.76 % (17995)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)
% 0.56/0.76 % (17999)Refutation not found, incomplete strategy% (17999)------------------------------
% 0.56/0.76 % (17999)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.56/0.76 % (17997)Refutation not found, incomplete strategy% (17997)------------------------------
% 0.56/0.76 % (17997)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.56/0.76 % (17997)Termination reason: Refutation not found, incomplete strategy
% 0.56/0.76
% 0.56/0.76 % (17997)Memory used [KB]: 1038
% 0.56/0.76 % (17997)Time elapsed: 0.003 s
% 0.56/0.76 % (17997)Instructions burned: 2 (million)
% 0.56/0.76 % (17997)------------------------------
% 0.56/0.76 % (17997)------------------------------
% 0.56/0.76 % (17999)Termination reason: Refutation not found, incomplete strategy
% 0.56/0.76
% 0.56/0.76 % (17999)Memory used [KB]: 1038
% 0.56/0.76 % (17999)Time elapsed: 0.003 s
% 0.56/0.76 % (17999)Instructions burned: 2 (million)
% 0.56/0.76 % (17999)------------------------------
% 0.56/0.76 % (17999)------------------------------
% 0.56/0.76 % (18003)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)
% 0.56/0.76 % (18004)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)
% 0.56/0.76 % (18003)Refutation not found, incomplete strategy% (18003)------------------------------
% 0.56/0.76 % (18003)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.56/0.76 % (18003)Termination reason: Refutation not found, incomplete strategy
% 0.56/0.76
% 0.56/0.76 % (18003)Memory used [KB]: 1040
% 0.56/0.76 % (18003)Time elapsed: 0.002 s
% 0.56/0.76 % (18003)Instructions burned: 2 (million)
% 0.56/0.76 % (18003)------------------------------
% 0.56/0.76 % (18003)------------------------------
% 0.56/0.76 % (17994)Refutation not found, incomplete strategy% (17994)------------------------------
% 0.56/0.76 % (17994)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.56/0.76 % (17994)Termination reason: Refutation not found, incomplete strategy
% 0.56/0.76
% 0.56/0.76 % (17994)Memory used [KB]: 1067
% 0.56/0.76 % (17994)Time elapsed: 0.006 s
% 0.56/0.76 % (17994)Instructions burned: 9 (million)
% 0.56/0.76 % (17994)------------------------------
% 0.56/0.76 % (17994)------------------------------
% 0.56/0.76 % (17995)First to succeed.
% 0.56/0.76 % (18006)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)
% 0.56/0.76 % (18009)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)
% 0.56/0.76 % (17995)Refutation found. Thanks to Tanya!
% 0.56/0.76 % SZS status Theorem for Vampire---4
% 0.56/0.76 % SZS output start Proof for Vampire---4
% See solution above
% 0.56/0.76 % (17995)------------------------------
% 0.56/0.76 % (17995)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.56/0.76 % (17995)Termination reason: Refutation
% 0.56/0.76
% 0.56/0.76 % (17995)Memory used [KB]: 1165
% 0.56/0.76 % (17995)Time elapsed: 0.007 s
% 0.56/0.76 % (17995)Instructions burned: 8 (million)
% 0.56/0.76 % (17995)------------------------------
% 0.56/0.76 % (17995)------------------------------
% 0.56/0.76 % (17980)Success in time 0.388 s
% 0.66/0.76 % Vampire---4.8 exiting
%------------------------------------------------------------------------------