TSTP Solution File: SET090+1 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SET090+1 : TPTP v8.2.0. 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/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% Computer : n002.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 : Tue May 21 03:08:43 EDT 2024
% Result : Theorem 0.56s 0.76s
% Output : Refutation 0.56s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 6
% Syntax : Number of formulae : 39 ( 10 unt; 0 def)
% Number of atoms : 97 ( 46 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 89 ( 31 ~; 27 |; 21 &)
% ( 2 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-2 aty)
% Number of variables : 46 ( 40 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f465,plain,
$false,
inference(unit_resulting_resolution,[],[f123,f430,f285]) ).
fof(f285,plain,
! [X0] :
( ~ member(X0,sK0)
| sK1 = X0 ),
inference(duplicate_literal_removal,[],[f281]) ).
fof(f281,plain,
! [X0] :
( ~ member(X0,sK0)
| sK1 = X0
| sK1 = X0 ),
inference(superposition,[],[f183,f191]) ).
fof(f191,plain,
sK0 = unordered_pair(sK1,sK1),
inference(definition_unfolding,[],[f122,f136]) ).
fof(f136,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/sandbox/benchmark/theBenchmark.p',singleton_set_defn) ).
fof(f122,plain,
sK0 = singleton(sK1),
inference(cnf_transformation,[],[f88]) ).
fof(f88,plain,
( sK1 != member_of(sK0)
& sK0 = singleton(sK1)
& member(sK1,universal_class) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f75,f87]) ).
fof(f87,plain,
( ? [X0,X1] :
( member_of(X0) != X1
& singleton(X1) = X0
& member(X1,universal_class) )
=> ( sK1 != member_of(sK0)
& sK0 = singleton(sK1)
& member(sK1,universal_class) ) ),
introduced(choice_axiom,[]) ).
fof(f75,plain,
? [X0,X1] :
( member_of(X0) != X1
& singleton(X1) = X0
& member(X1,universal_class) ),
inference(flattening,[],[f74]) ).
fof(f74,plain,
? [X0,X1] :
( member_of(X0) != X1
& singleton(X1) = X0
& member(X1,universal_class) ),
inference(ennf_transformation,[],[f50]) ).
fof(f50,plain,
~ ! [X0,X1] :
( ( singleton(X1) = X0
& member(X1,universal_class) )
=> member_of(X0) = X1 ),
inference(rectify,[],[f49]) ).
fof(f49,negated_conjecture,
~ ! [X0,X2] :
( ( singleton(X2) = X0
& member(X2,universal_class) )
=> member_of(X0) = X2 ),
inference(negated_conjecture,[],[f48]) ).
fof(f48,conjecture,
! [X0,X2] :
( ( singleton(X2) = X0
& member(X2,universal_class) )
=> member_of(X0) = X2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',member_of_singleton) ).
fof(f183,plain,
! [X2,X0,X1] :
( ~ member(X0,unordered_pair(X1,X2))
| X0 = X1
| X0 = X2 ),
inference(cnf_transformation,[],[f120]) ).
fof(f120,plain,
! [X0,X1,X2] :
( ( member(X0,unordered_pair(X1,X2))
| ( X0 != X2
& X0 != X1 )
| ~ member(X0,universal_class) )
& ( ( ( X0 = X2
| X0 = X1 )
& member(X0,universal_class) )
| ~ member(X0,unordered_pair(X1,X2)) ) ),
inference(flattening,[],[f119]) ).
fof(f119,plain,
! [X0,X1,X2] :
( ( member(X0,unordered_pair(X1,X2))
| ( X0 != X2
& X0 != X1 )
| ~ member(X0,universal_class) )
& ( ( ( X0 = X2
| X0 = X1 )
& member(X0,universal_class) )
| ~ member(X0,unordered_pair(X1,X2)) ) ),
inference(nnf_transformation,[],[f72]) ).
fof(f72,plain,
! [X0,X1,X2] :
( member(X0,unordered_pair(X1,X2))
<=> ( ( X0 = X2
| X0 = X1 )
& member(X0,universal_class) ) ),
inference(rectify,[],[f4]) ).
fof(f4,axiom,
! [X2,X0,X1] :
( member(X2,unordered_pair(X0,X1))
<=> ( ( X1 = X2
| X0 = X2 )
& member(X2,universal_class) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unordered_pair_defn) ).
fof(f430,plain,
member(member_of(sK0),sK0),
inference(subsumption_resolution,[],[f399,f287]) ).
fof(f287,plain,
member(member_of(sK0),universal_class),
inference(subsumption_resolution,[],[f230,f121]) ).
fof(f121,plain,
member(sK1,universal_class),
inference(cnf_transformation,[],[f88]) ).
fof(f230,plain,
( member(member_of(sK0),universal_class)
| ~ member(sK1,universal_class) ),
inference(superposition,[],[f194,f191]) ).
fof(f194,plain,
! [X0] :
( member(member_of(unordered_pair(X0,X0)),universal_class)
| ~ member(X0,universal_class) ),
inference(definition_unfolding,[],[f126,f136]) ).
fof(f126,plain,
! [X0] :
( member(member_of(singleton(X0)),universal_class)
| ~ member(X0,universal_class) ),
inference(cnf_transformation,[],[f77]) ).
fof(f77,plain,
! [X0] :
( member(member_of(singleton(X0)),universal_class)
| ~ member(X0,universal_class) ),
inference(ennf_transformation,[],[f52]) ).
fof(f52,plain,
! [X0] :
( member(X0,universal_class)
=> member(member_of(singleton(X0)),universal_class) ),
inference(rectify,[],[f44]) ).
fof(f44,axiom,
! [X1] :
( member(X1,universal_class)
=> member(member_of(singleton(X1)),universal_class) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',member_singleton_universal) ).
fof(f399,plain,
( member(member_of(sK0),sK0)
| ~ member(member_of(sK0),universal_class) ),
inference(superposition,[],[f228,f286]) ).
fof(f286,plain,
sK0 = unordered_pair(member_of(sK0),member_of(sK0)),
inference(subsumption_resolution,[],[f229,f121]) ).
fof(f229,plain,
( sK0 = unordered_pair(member_of(sK0),member_of(sK0))
| ~ member(sK1,universal_class) ),
inference(superposition,[],[f193,f191]) ).
fof(f193,plain,
! [X0] :
( unordered_pair(X0,X0) = unordered_pair(member_of(unordered_pair(X0,X0)),member_of(unordered_pair(X0,X0)))
| ~ member(X0,universal_class) ),
inference(definition_unfolding,[],[f125,f136,f136,f136]) ).
fof(f125,plain,
! [X0] :
( singleton(X0) = singleton(member_of(singleton(X0)))
| ~ member(X0,universal_class) ),
inference(cnf_transformation,[],[f76]) ).
fof(f76,plain,
! [X0] :
( singleton(X0) = singleton(member_of(singleton(X0)))
| ~ member(X0,universal_class) ),
inference(ennf_transformation,[],[f51]) ).
fof(f51,plain,
! [X0] :
( member(X0,universal_class)
=> singleton(X0) = singleton(member_of(singleton(X0))) ),
inference(rectify,[],[f45]) ).
fof(f45,axiom,
! [X1] :
( member(X1,universal_class)
=> singleton(X1) = singleton(member_of(singleton(X1))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',member_singleton_singleton) ).
fof(f228,plain,
! [X2,X1] :
( member(X1,unordered_pair(X1,X2))
| ~ member(X1,universal_class) ),
inference(equality_resolution,[],[f184]) ).
fof(f184,plain,
! [X2,X0,X1] :
( member(X0,unordered_pair(X1,X2))
| X0 != X1
| ~ member(X0,universal_class) ),
inference(cnf_transformation,[],[f120]) ).
fof(f123,plain,
sK1 != member_of(sK0),
inference(cnf_transformation,[],[f88]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SET090+1 : TPTP v8.2.0. Bugfixed v7.3.0.
% 0.13/0.14 % 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
% 0.15/0.35 % Computer : n002.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 : Mon May 20 11:26:07 EDT 2024
% 0.15/0.35 % CPUTime :
% 0.15/0.35 This is a FOF_THM_RFO_SEQ problem
% 0.15/0.36 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/benchmark/theBenchmark.p
% 0.56/0.74 % (12576)lrs-21_1:1_to=lpo:sil=2000:sp=frequency:sos=on:lma=on:i=56:sd=2:ss=axioms:ep=R_0 on theBenchmark for (2996ds/56Mi)
% 0.56/0.74 % (12576)Refutation not found, incomplete strategy% (12576)------------------------------
% 0.56/0.74 % (12576)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.56/0.74 % (12576)Termination reason: Refutation not found, incomplete strategy
% 0.56/0.74
% 0.56/0.74 % (12576)Memory used [KB]: 1045
% 0.56/0.74 % (12576)Time elapsed: 0.002 s
% 0.56/0.74 % (12576)Instructions burned: 2 (million)
% 0.56/0.74 % (12569)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 theBenchmark for (2996ds/34Mi)
% 0.56/0.74 % (12576)------------------------------
% 0.56/0.74 % (12576)------------------------------
% 0.56/0.74 % (12572)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on theBenchmark for (2996ds/33Mi)
% 0.56/0.74 % (12571)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on theBenchmark for (2996ds/78Mi)
% 0.56/0.74 % (12570)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 theBenchmark for (2996ds/51Mi)
% 0.56/0.74 % (12574)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on theBenchmark for (2996ds/45Mi)
% 0.56/0.74 % (12575)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 theBenchmark for (2996ds/83Mi)
% 0.56/0.74 % (12573)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 theBenchmark for (2996ds/34Mi)
% 0.56/0.74 % (12574)Refutation not found, incomplete strategy% (12574)------------------------------
% 0.56/0.74 % (12574)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.56/0.74 % (12574)Termination reason: Refutation not found, incomplete strategy
% 0.56/0.74
% 0.56/0.74 % (12574)Memory used [KB]: 1049
% 0.56/0.74 % (12574)Time elapsed: 0.003 s
% 0.56/0.74 % (12574)Instructions burned: 2 (million)
% 0.56/0.74 % (12572)Refutation not found, incomplete strategy% (12572)------------------------------
% 0.56/0.74 % (12572)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.56/0.74 % (12572)Termination reason: Refutation not found, incomplete strategy
% 0.56/0.74
% 0.56/0.74 % (12572)Memory used [KB]: 1069
% 0.56/0.74 % (12572)Time elapsed: 0.003 s
% 0.56/0.74 % (12572)Instructions burned: 3 (million)
% 0.56/0.74 % (12574)------------------------------
% 0.56/0.74 % (12574)------------------------------
% 0.56/0.74 % (12575)Refutation not found, incomplete strategy% (12575)------------------------------
% 0.56/0.74 % (12575)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.56/0.74 % (12575)Termination reason: Refutation not found, incomplete strategy
% 0.56/0.74
% 0.56/0.74 % (12575)Memory used [KB]: 1061
% 0.56/0.74 % (12575)Time elapsed: 0.003 s
% 0.56/0.74 % (12575)Instructions burned: 3 (million)
% 0.56/0.74 % (12572)------------------------------
% 0.56/0.74 % (12572)------------------------------
% 0.56/0.75 % (12575)------------------------------
% 0.56/0.75 % (12575)------------------------------
% 0.56/0.75 % (12577)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 theBenchmark for (2996ds/55Mi)
% 0.56/0.75 % (12577)Refutation not found, incomplete strategy% (12577)------------------------------
% 0.56/0.75 % (12577)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.56/0.75 % (12577)Termination reason: Refutation not found, incomplete strategy
% 0.56/0.75
% 0.56/0.75 % (12577)Memory used [KB]: 1074
% 0.56/0.75 % (12577)Time elapsed: 0.002 s
% 0.56/0.75 % (12577)Instructions burned: 3 (million)
% 0.56/0.75 % (12577)------------------------------
% 0.56/0.75 % (12577)------------------------------
% 0.56/0.75 % (12578)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 theBenchmark for (2996ds/50Mi)
% 0.56/0.75 % (12579)lrs+1010_1:2_sil=4000:tgt=ground:nwc=10.0:st=2.0:i=208:sd=1:bd=off:ss=axioms_0 on theBenchmark for (2996ds/208Mi)
% 0.56/0.75 % (12581)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 theBenchmark for (2996ds/518Mi)
% 0.56/0.75 % (12580)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 theBenchmark for (2996ds/52Mi)
% 0.56/0.75 % (12579)Refutation not found, incomplete strategy% (12579)------------------------------
% 0.56/0.75 % (12579)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.56/0.75 % (12579)Termination reason: Refutation not found, incomplete strategy
% 0.56/0.75
% 0.56/0.75 % (12579)Memory used [KB]: 1067
% 0.56/0.75 % (12579)Time elapsed: 0.004 s
% 0.56/0.75 % (12579)Instructions burned: 3 (million)
% 0.56/0.75 % (12579)------------------------------
% 0.56/0.75 % (12579)------------------------------
% 0.56/0.76 % (12581)First to succeed.
% 0.56/0.76 % (12582)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 theBenchmark for (2996ds/42Mi)
% 0.56/0.76 % (12581)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-12568"
% 0.56/0.76 % (12581)Refutation found. Thanks to Tanya!
% 0.56/0.76 % SZS status Theorem for theBenchmark
% 0.56/0.76 % SZS output start Proof for theBenchmark
% See solution above
% 0.56/0.76 % (12581)------------------------------
% 0.56/0.76 % (12581)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.56/0.76 % (12581)Termination reason: Refutation
% 0.56/0.76
% 0.56/0.76 % (12581)Memory used [KB]: 1286
% 0.56/0.76 % (12581)Time elapsed: 0.008 s
% 0.56/0.76 % (12581)Instructions burned: 21 (million)
% 0.56/0.76 % (12568)Success in time 0.39 s
% 0.56/0.76 % Vampire---4.8 exiting
%------------------------------------------------------------------------------