TSTP Solution File: SET123-6 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SET123-6 : TPTP v8.1.2. Bugfixed v2.1.0.
% 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 : n004.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 09:04:13 EDT 2024
% Result : Unsatisfiable 0.60s 0.78s
% Output : Refutation 0.60s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 17
% Syntax : Number of formulae : 43 ( 15 unt; 0 def)
% Number of atoms : 80 ( 11 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 70 ( 33 ~; 32 |; 0 &)
% ( 5 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 9 ( 7 usr; 6 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 4 con; 0-2 aty)
% Number of variables : 22 ( 22 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f724,plain,
$false,
inference(avatar_sat_refutation,[],[f687,f697,f711,f714,f720,f723]) ).
fof(f723,plain,
~ spl0_52,
inference(avatar_contradiction_clause,[],[f721]) ).
fof(f721,plain,
( $false
| ~ spl0_52 ),
inference(resolution,[],[f719,f95]) ).
fof(f95,axiom,
~ member(x,z),
file('/export/starexec/sandbox2/tmp/tmp.OIRYCOcIwQ/Vampire---4.8_5297',prove_set_builder_alternate_defn1_3) ).
fof(f719,plain,
( member(x,z)
| ~ spl0_52 ),
inference(avatar_component_clause,[],[f717]) ).
fof(f717,plain,
( spl0_52
<=> member(x,z) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_52])]) ).
fof(f720,plain,
( ~ spl0_50
| spl0_52
| spl0_49 ),
inference(avatar_split_clause,[],[f715,f684,f717,f690]) ).
fof(f690,plain,
( spl0_50
<=> member(x,universal_class) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_50])]) ).
fof(f684,plain,
( spl0_49
<=> member(x,complement(z)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_49])]) ).
fof(f715,plain,
( member(x,z)
| ~ member(x,universal_class)
| spl0_49 ),
inference(resolution,[],[f686,f25]) ).
fof(f25,axiom,
! [X0,X4] :
( member(X4,complement(X0))
| member(X4,X0)
| ~ member(X4,universal_class) ),
file('/export/starexec/sandbox2/tmp/tmp.OIRYCOcIwQ/Vampire---4.8_5297',complement2) ).
fof(f686,plain,
( ~ member(x,complement(z))
| spl0_49 ),
inference(avatar_component_clause,[],[f684]) ).
fof(f714,plain,
spl0_50,
inference(avatar_contradiction_clause,[],[f712]) ).
fof(f712,plain,
( $false
| spl0_50 ),
inference(resolution,[],[f692,f151]) ).
fof(f151,plain,
member(x,universal_class),
inference(resolution,[],[f149,f4]) ).
fof(f4,axiom,
! [X0] : subclass(X0,universal_class),
file('/export/starexec/sandbox2/tmp/tmp.OIRYCOcIwQ/Vampire---4.8_5297',class_elements_are_sets) ).
fof(f149,plain,
! [X0] :
( ~ subclass(complement(intersection(complement(unordered_pair(y,y)),complement(z))),X0)
| member(x,X0) ),
inference(resolution,[],[f1,f145]) ).
fof(f145,plain,
member(x,complement(intersection(complement(unordered_pair(y,y)),complement(z)))),
inference(definition_unfolding,[],[f93,f101]) ).
fof(f101,plain,
! [X0,X1] : set_builder(X0,X1) = complement(intersection(complement(unordered_pair(X0,X0)),complement(X1))),
inference(definition_unfolding,[],[f92,f26,f12]) ).
fof(f12,axiom,
! [X0] : unordered_pair(X0,X0) = singleton(X0),
file('/export/starexec/sandbox2/tmp/tmp.OIRYCOcIwQ/Vampire---4.8_5297',singleton_set) ).
fof(f26,axiom,
! [X0,X1] : complement(intersection(complement(X0),complement(X1))) = union(X0,X1),
file('/export/starexec/sandbox2/tmp/tmp.OIRYCOcIwQ/Vampire---4.8_5297',union) ).
fof(f92,axiom,
! [X0,X1] : union(singleton(X0),X1) = set_builder(X0,X1),
file('/export/starexec/sandbox2/tmp/tmp.OIRYCOcIwQ/Vampire---4.8_5297',definition_of_set_builder) ).
fof(f93,axiom,
member(x,set_builder(y,z)),
file('/export/starexec/sandbox2/tmp/tmp.OIRYCOcIwQ/Vampire---4.8_5297',prove_set_builder_alternate_defn1_1) ).
fof(f1,axiom,
! [X2,X0,X1] :
( ~ member(X2,X0)
| member(X2,X1)
| ~ subclass(X0,X1) ),
file('/export/starexec/sandbox2/tmp/tmp.OIRYCOcIwQ/Vampire---4.8_5297',subclass_members) ).
fof(f692,plain,
( ~ member(x,universal_class)
| spl0_50 ),
inference(avatar_component_clause,[],[f690]) ).
fof(f711,plain,
~ spl0_51,
inference(avatar_contradiction_clause,[],[f710]) ).
fof(f710,plain,
( $false
| ~ spl0_51 ),
inference(trivial_inequality_removal,[],[f702]) ).
fof(f702,plain,
( x != x
| ~ spl0_51 ),
inference(superposition,[],[f94,f700]) ).
fof(f700,plain,
( x = y
| ~ spl0_51 ),
inference(duplicate_literal_removal,[],[f698]) ).
fof(f698,plain,
( x = y
| x = y
| ~ spl0_51 ),
inference(resolution,[],[f696,f8]) ).
fof(f8,axiom,
! [X2,X0,X1] :
( ~ member(X2,unordered_pair(X0,X1))
| X0 = X2
| X1 = X2 ),
file('/export/starexec/sandbox2/tmp/tmp.OIRYCOcIwQ/Vampire---4.8_5297',unordered_pair_member) ).
fof(f696,plain,
( member(x,unordered_pair(y,y))
| ~ spl0_51 ),
inference(avatar_component_clause,[],[f694]) ).
fof(f694,plain,
( spl0_51
<=> member(x,unordered_pair(y,y)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_51])]) ).
fof(f94,axiom,
x != y,
file('/export/starexec/sandbox2/tmp/tmp.OIRYCOcIwQ/Vampire---4.8_5297',prove_set_builder_alternate_defn1_2) ).
fof(f697,plain,
( ~ spl0_50
| spl0_51
| spl0_48 ),
inference(avatar_split_clause,[],[f688,f680,f694,f690]) ).
fof(f680,plain,
( spl0_48
<=> member(x,complement(unordered_pair(y,y))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_48])]) ).
fof(f688,plain,
( member(x,unordered_pair(y,y))
| ~ member(x,universal_class)
| spl0_48 ),
inference(resolution,[],[f682,f25]) ).
fof(f682,plain,
( ~ member(x,complement(unordered_pair(y,y)))
| spl0_48 ),
inference(avatar_component_clause,[],[f680]) ).
fof(f687,plain,
( ~ spl0_48
| ~ spl0_49 ),
inference(avatar_split_clause,[],[f674,f684,f680]) ).
fof(f674,plain,
( ~ member(x,complement(z))
| ~ member(x,complement(unordered_pair(y,y))) ),
inference(resolution,[],[f23,f183]) ).
fof(f183,plain,
~ member(x,intersection(complement(unordered_pair(y,y)),complement(z))),
inference(resolution,[],[f24,f145]) ).
fof(f24,axiom,
! [X0,X4] :
( ~ member(X4,complement(X0))
| ~ member(X4,X0) ),
file('/export/starexec/sandbox2/tmp/tmp.OIRYCOcIwQ/Vampire---4.8_5297',complement1) ).
fof(f23,axiom,
! [X0,X1,X4] :
( member(X4,intersection(X0,X1))
| ~ member(X4,X1)
| ~ member(X4,X0) ),
file('/export/starexec/sandbox2/tmp/tmp.OIRYCOcIwQ/Vampire---4.8_5297',intersection3) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : SET123-6 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.07/0.15 % 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 : n004.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 : Fri May 3 16:48:38 EDT 2024
% 0.15/0.36 % CPUTime :
% 0.15/0.36 This is a CNF_UNS_RFO_SEQ_NHN problem
% 0.15/0.36 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.OIRYCOcIwQ/Vampire---4.8_5297
% 0.60/0.76 % (5696)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)
% 0.60/0.76 % (5696)Refutation not found, incomplete strategy% (5696)------------------------------
% 0.60/0.76 % (5696)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.76 % (5696)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.76
% 0.60/0.76 % (5696)Memory used [KB]: 1055
% 0.60/0.76 % (5696)Time elapsed: 0.002 s
% 0.60/0.76 % (5696)Instructions burned: 2 (million)
% 0.60/0.76 % (5696)------------------------------
% 0.60/0.76 % (5696)------------------------------
% 0.60/0.76 % (5691)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.60/0.76 % (5690)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)
% 0.60/0.76 % (5693)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)
% 0.60/0.76 % (5694)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)
% 0.60/0.76 % (5689)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)
% 0.60/0.76 % (5695)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)
% 0.60/0.76 % (5692)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)
% 0.60/0.76 % (5692)Refutation not found, incomplete strategy% (5692)------------------------------
% 0.60/0.76 % (5692)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.76 % (5692)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.76
% 0.60/0.76 % (5692)Memory used [KB]: 1054
% 0.60/0.76 % (5692)Time elapsed: 0.003 s
% 0.60/0.76 % (5692)Instructions burned: 2 (million)
% 0.60/0.76 % (5692)------------------------------
% 0.60/0.76 % (5692)------------------------------
% 0.60/0.76 % (5699)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)
% 0.60/0.76 % (5699)Refutation not found, incomplete strategy% (5699)------------------------------
% 0.60/0.76 % (5699)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.76 % (5699)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.76
% 0.60/0.76 % (5699)Memory used [KB]: 1055
% 0.60/0.76 % (5699)Time elapsed: 0.001 s
% 0.60/0.76 % (5699)Instructions burned: 2 (million)
% 0.60/0.76 % (5699)------------------------------
% 0.60/0.76 % (5699)------------------------------
% 0.60/0.76 % (5689)Refutation not found, incomplete strategy% (5689)------------------------------
% 0.60/0.76 % (5689)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.76 % (5689)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.76
% 0.60/0.76 % (5689)Memory used [KB]: 1085
% 0.60/0.76 % (5689)Time elapsed: 0.005 s
% 0.60/0.76 % (5689)Instructions burned: 6 (million)
% 0.60/0.76 % (5689)------------------------------
% 0.60/0.76 % (5689)------------------------------
% 0.60/0.76 % (5702)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)
% 0.60/0.76 % (5700)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)
% 0.60/0.76 % (5702)Refutation not found, incomplete strategy% (5702)------------------------------
% 0.60/0.76 % (5702)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.76 % (5702)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.76
% 0.60/0.76 % (5702)Memory used [KB]: 1070
% 0.60/0.76 % (5702)Time elapsed: 0.002 s
% 0.60/0.76 % (5702)Instructions burned: 2 (million)
% 0.60/0.76 % (5702)------------------------------
% 0.60/0.76 % (5702)------------------------------
% 0.60/0.77 % (5703)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)
% 0.60/0.77 % (5707)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)
% 0.60/0.77 % (5707)Refutation not found, incomplete strategy% (5707)------------------------------
% 0.60/0.77 % (5707)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.77 % (5707)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.77
% 0.60/0.77 % (5707)Memory used [KB]: 1056
% 0.60/0.77 % (5707)Time elapsed: 0.002 s
% 0.60/0.77 % (5707)Instructions burned: 3 (million)
% 0.60/0.77 % (5707)------------------------------
% 0.60/0.77 % (5707)------------------------------
% 0.60/0.77 % (5708)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)
% 0.60/0.77 % (5690)First to succeed.
% 0.60/0.77 % (5693)Instruction limit reached!
% 0.60/0.77 % (5693)------------------------------
% 0.60/0.77 % (5693)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.77 % (5693)Termination reason: Unknown
% 0.60/0.77 % (5693)Termination phase: Saturation
% 0.60/0.77
% 0.60/0.77 % (5693)Memory used [KB]: 1408
% 0.60/0.77 % (5693)Time elapsed: 0.019 s
% 0.60/0.77 % (5693)Instructions burned: 34 (million)
% 0.60/0.77 % (5693)------------------------------
% 0.60/0.77 % (5693)------------------------------
% 0.60/0.78 % (5690)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-5513"
% 0.60/0.78 % (5690)Refutation found. Thanks to Tanya!
% 0.60/0.78 % SZS status Unsatisfiable for Vampire---4
% 0.60/0.78 % SZS output start Proof for Vampire---4
% See solution above
% 0.60/0.78 % (5690)------------------------------
% 0.60/0.78 % (5690)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.78 % (5690)Termination reason: Refutation
% 0.60/0.78
% 0.60/0.78 % (5690)Memory used [KB]: 1356
% 0.60/0.78 % (5690)Time elapsed: 0.020 s
% 0.60/0.78 % (5690)Instructions burned: 27 (million)
% 0.60/0.78 % (5513)Success in time 0.405 s
% 0.60/0.78 % Vampire---4.8 exiting
%------------------------------------------------------------------------------