TSTP Solution File: SET553-6 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SET553-6 : 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 : 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 : Sun May 5 09:07:11 EDT 2024
% Result : Unsatisfiable 0.64s 0.78s
% Output : Refutation 0.64s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 18
% Syntax : Number of formulae : 28 ( 22 unt; 0 def)
% Number of atoms : 35 ( 15 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 20 ( 13 ~; 7 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 2 avg)
% Maximal term depth : 9 ( 2 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 23 ( 23 usr; 13 con; 0-2 aty)
% Number of variables : 20 ( 20 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f351,plain,
$false,
inference(subsumption_resolution,[],[f185,f311]) ).
fof(f311,plain,
! [X0] : sF8 != intersection(sF0,X0),
inference(resolution,[],[f267,f6]) ).
fof(f6,axiom,
! [X0,X1] :
( subclass(X1,X0)
| X0 != X1 ),
file('/export/starexec/sandbox2/tmp/tmp.pm8Xkp1tmJ/Vampire---4.8_21779',equal_implies_subclass2) ).
fof(f267,plain,
! [X0] : ~ subclass(sF8,intersection(sF0,X0)),
inference(resolution,[],[f198,f192]) ).
fof(f192,plain,
! [X0] : ~ member(not_subclass_element(sF8,sF0),intersection(sF0,X0)),
inference(resolution,[],[f189,f21]) ).
fof(f21,axiom,
! [X0,X1,X4] :
( member(X4,X0)
| ~ member(X4,intersection(X0,X1)) ),
file('/export/starexec/sandbox2/tmp/tmp.pm8Xkp1tmJ/Vampire---4.8_21779',intersection1) ).
fof(f189,plain,
~ member(not_subclass_element(sF8,sF0),sF0),
inference(resolution,[],[f186,f3]) ).
fof(f3,axiom,
! [X0,X1] :
( subclass(X0,X1)
| ~ member(not_subclass_element(X0,X1),X1) ),
file('/export/starexec/sandbox2/tmp/tmp.pm8Xkp1tmJ/Vampire---4.8_21779',not_subclass_members2) ).
fof(f186,plain,
~ subclass(sF8,sF0),
inference(definition_folding,[],[f176,f177,f185,f184,f183,f182,f181,f180,f179,f178,f177]) ).
fof(f178,plain,
cross_product(element_relation,universal_class) = sF1,
introduced(function_definition,[new_symbols(definition,[sF1])]) ).
fof(f179,plain,
flip(sF1) = sF2,
introduced(function_definition,[new_symbols(definition,[sF2])]) ).
fof(f180,plain,
domain_of(sF2) = sF3,
introduced(function_definition,[new_symbols(definition,[sF3])]) ).
fof(f181,plain,
compose(sF3,x) = sF4,
introduced(function_definition,[new_symbols(definition,[sF4])]) ).
fof(f182,plain,
intersection(sF4,identity_relation) = sF5,
introduced(function_definition,[new_symbols(definition,[sF5])]) ).
fof(f183,plain,
domain_of(sF5) = sF6,
introduced(function_definition,[new_symbols(definition,[sF6])]) ).
fof(f184,plain,
complement(sF6) = sF7,
introduced(function_definition,[new_symbols(definition,[sF7])]) ).
fof(f177,plain,
domain_of(x) = sF0,
introduced(function_definition,[new_symbols(definition,[sF0])]) ).
fof(f176,plain,
~ subclass(intersection(domain_of(x),complement(domain_of(intersection(compose(domain_of(flip(cross_product(element_relation,universal_class))),x),identity_relation)))),domain_of(x)),
inference(definition_unfolding,[],[f113,f126]) ).
fof(f126,plain,
! [X0] : cantor(X0) = intersection(domain_of(X0),complement(domain_of(intersection(compose(domain_of(flip(cross_product(element_relation,universal_class))),X0),identity_relation)))),
inference(definition_unfolding,[],[f77,f76,f38]) ).
fof(f38,axiom,
! [X1] : domain_of(flip(cross_product(X1,universal_class))) = inverse(X1),
file('/export/starexec/sandbox2/tmp/tmp.pm8Xkp1tmJ/Vampire---4.8_21779',inverse) ).
fof(f76,axiom,
! [X5] : complement(domain_of(intersection(X5,identity_relation))) = diagonalise(X5),
file('/export/starexec/sandbox2/tmp/tmp.pm8Xkp1tmJ/Vampire---4.8_21779',diagonalisation) ).
fof(f77,axiom,
! [X0] : intersection(domain_of(X0),diagonalise(compose(inverse(element_relation),X0))) = cantor(X0),
file('/export/starexec/sandbox2/tmp/tmp.pm8Xkp1tmJ/Vampire---4.8_21779',cantor_class) ).
fof(f113,axiom,
~ subclass(cantor(x),domain_of(x)),
file('/export/starexec/sandbox2/tmp/tmp.pm8Xkp1tmJ/Vampire---4.8_21779',prove_cantor_class_alternate_defn_1) ).
fof(f198,plain,
! [X0] :
( member(not_subclass_element(sF8,sF0),X0)
| ~ subclass(sF8,X0) ),
inference(resolution,[],[f190,f1]) ).
fof(f1,axiom,
! [X2,X0,X1] :
( member(X2,X1)
| ~ member(X2,X0)
| ~ subclass(X0,X1) ),
file('/export/starexec/sandbox2/tmp/tmp.pm8Xkp1tmJ/Vampire---4.8_21779',subclass_members) ).
fof(f190,plain,
member(not_subclass_element(sF8,sF0),sF8),
inference(resolution,[],[f186,f2]) ).
fof(f2,axiom,
! [X0,X1] :
( subclass(X0,X1)
| member(not_subclass_element(X0,X1),X0) ),
file('/export/starexec/sandbox2/tmp/tmp.pm8Xkp1tmJ/Vampire---4.8_21779',not_subclass_members1) ).
fof(f185,plain,
intersection(sF0,sF7) = sF8,
introduced(function_definition,[new_symbols(definition,[sF8])]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : SET553-6 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.11/0.12 % 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
% 0.12/0.33 % Computer : n009.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Fri May 3 16:26:38 EDT 2024
% 0.12/0.33 % CPUTime :
% 0.12/0.33 This is a CNF_UNS_RFO_SEQ_NHN problem
% 0.12/0.33 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.pm8Xkp1tmJ/Vampire---4.8_21779
% 0.56/0.77 % (21896)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on Vampire---4 for (2995ds/45Mi)
% 0.56/0.77 % (21894)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on Vampire---4 for (2995ds/33Mi)
% 0.56/0.77 % (21897)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 (2995ds/83Mi)
% 0.56/0.77 % (21895)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 (2995ds/34Mi)
% 0.56/0.77 % (21893)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2995ds/78Mi)
% 0.56/0.77 % (21892)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 (2995ds/51Mi)
% 0.56/0.77 % (21898)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 (2995ds/56Mi)
% 0.56/0.77 % (21891)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 (2995ds/34Mi)
% 0.56/0.77 % (21896)Refutation not found, incomplete strategy% (21896)------------------------------
% 0.56/0.77 % (21896)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.56/0.77 % (21894)Refutation not found, incomplete strategy% (21894)------------------------------
% 0.56/0.77 % (21894)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.56/0.77 % (21894)Termination reason: Refutation not found, incomplete strategy
% 0.56/0.77
% 0.56/0.77 % (21894)Memory used [KB]: 1071
% 0.56/0.77 % (21894)Time elapsed: 0.003 s
% 0.56/0.77 % (21894)Instructions burned: 2 (million)
% 0.56/0.77 % (21896)Termination reason: Refutation not found, incomplete strategy
% 0.56/0.77
% 0.56/0.77 % (21896)Memory used [KB]: 1071
% 0.56/0.77 % (21896)Time elapsed: 0.003 s
% 0.56/0.77 % (21896)Instructions burned: 3 (million)
% 0.56/0.77 % (21898)Refutation not found, incomplete strategy% (21898)------------------------------
% 0.56/0.77 % (21898)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.56/0.77 % (21898)Termination reason: Refutation not found, incomplete strategy
% 0.56/0.77
% 0.56/0.77 % (21898)Memory used [KB]: 1071
% 0.56/0.77 % (21898)Time elapsed: 0.002 s
% 0.56/0.77 % (21898)Instructions burned: 2 (million)
% 0.56/0.77 % (21894)------------------------------
% 0.56/0.77 % (21894)------------------------------
% 0.56/0.77 % (21896)------------------------------
% 0.56/0.77 % (21896)------------------------------
% 0.56/0.77 % (21897)Refutation not found, incomplete strategy% (21897)------------------------------
% 0.56/0.77 % (21897)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.56/0.77 % (21897)Termination reason: Refutation not found, incomplete strategy
% 0.56/0.77
% 0.56/0.77 % (21897)Memory used [KB]: 1072
% 0.56/0.77 % (21897)Time elapsed: 0.003 s
% 0.56/0.77 % (21897)Instructions burned: 3 (million)
% 0.56/0.77 % (21898)------------------------------
% 0.56/0.77 % (21898)------------------------------
% 0.56/0.77 % (21897)------------------------------
% 0.56/0.77 % (21897)------------------------------
% 0.56/0.77 % (21891)Refutation not found, incomplete strategy% (21891)------------------------------
% 0.56/0.77 % (21891)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.56/0.77 % (21891)Termination reason: Refutation not found, incomplete strategy
% 0.56/0.77
% 0.56/0.77 % (21891)Memory used [KB]: 1087
% 0.56/0.77 % (21891)Time elapsed: 0.002 s
% 0.56/0.77 % (21891)Instructions burned: 3 (million)
% 0.56/0.77 % (21891)------------------------------
% 0.56/0.77 % (21891)------------------------------
% 0.56/0.77 % (21895)Refutation not found, incomplete strategy% (21895)------------------------------
% 0.56/0.77 % (21895)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.56/0.77 % (21895)Termination reason: Refutation not found, incomplete strategy
% 0.56/0.77
% 0.56/0.77 % (21895)Memory used [KB]: 1130
% 0.56/0.77 % (21895)Time elapsed: 0.005 s
% 0.56/0.77 % (21895)Instructions burned: 6 (million)
% 0.56/0.77 % (21895)------------------------------
% 0.56/0.77 % (21895)------------------------------
% 0.56/0.77 % (21899)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 (2995ds/55Mi)
% 0.56/0.77 % (21900)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 (2995ds/50Mi)
% 0.56/0.77 % (21901)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 (2995ds/208Mi)
% 0.56/0.77 % (21902)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 (2995ds/52Mi)
% 0.56/0.77 % (21903)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 (2995ds/518Mi)
% 0.56/0.77 % (21899)Refutation not found, incomplete strategy% (21899)------------------------------
% 0.56/0.77 % (21899)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.56/0.77 % (21899)Termination reason: Refutation not found, incomplete strategy
% 0.56/0.77
% 0.56/0.77 % (21899)Memory used [KB]: 1071
% 0.56/0.77 % (21899)Time elapsed: 0.002 s
% 0.56/0.77 % (21899)Instructions burned: 2 (million)
% 0.56/0.77 % (21899)------------------------------
% 0.56/0.77 % (21899)------------------------------
% 0.56/0.77 % (21904)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 (2995ds/42Mi)
% 0.56/0.77 % (21901)Refutation not found, incomplete strategy% (21901)------------------------------
% 0.56/0.77 % (21901)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.56/0.77 % (21901)Termination reason: Refutation not found, incomplete strategy
% 0.56/0.77
% 0.56/0.77 % (21901)Memory used [KB]: 1093
% 0.56/0.77 % (21901)Time elapsed: 0.003 s
% 0.56/0.77 % (21901)Instructions burned: 3 (million)
% 0.56/0.77 % (21901)------------------------------
% 0.56/0.77 % (21901)------------------------------
% 0.56/0.77 % (21903)Refutation not found, incomplete strategy% (21903)------------------------------
% 0.56/0.77 % (21903)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.56/0.77 % (21903)Termination reason: Refutation not found, incomplete strategy
% 0.56/0.77
% 0.56/0.77 % (21903)Memory used [KB]: 1127
% 0.56/0.77 % (21903)Time elapsed: 0.003 s
% 0.56/0.77 % (21903)Instructions burned: 4 (million)
% 0.56/0.77 % (21903)------------------------------
% 0.56/0.77 % (21903)------------------------------
% 0.56/0.78 % (21905)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 (2995ds/243Mi)
% 0.56/0.78 % (21906)lrs+1011_2:9_sil=2000:lsd=10:newcnf=on:i=117:sd=2:awrs=decay:ss=included:amm=off:ep=R_0 on Vampire---4 for (2995ds/117Mi)
% 0.56/0.78 % (21907)dis+1011_11:1_sil=2000:avsq=on:i=143:avsqr=1,16:ep=RS:rawr=on:aac=none:lsd=100:mep=off:fde=none:newcnf=on:bsr=unit_only_0 on Vampire---4 for (2995ds/143Mi)
% 0.64/0.78 % (21906)Refutation not found, incomplete strategy% (21906)------------------------------
% 0.64/0.78 % (21906)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.64/0.78 % (21906)Termination reason: Refutation not found, incomplete strategy
% 0.64/0.78
% 0.64/0.78 % (21906)Memory used [KB]: 1091
% 0.64/0.78 % (21906)Time elapsed: 0.003 s
% 0.64/0.78 % (21906)Instructions burned: 3 (million)
% 0.64/0.78 % (21906)------------------------------
% 0.64/0.78 % (21906)------------------------------
% 0.64/0.78 % (21900)First to succeed.
% 0.64/0.78 % (21900)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-21890"
% 0.64/0.78 % (21900)Refutation found. Thanks to Tanya!
% 0.64/0.78 % SZS status Unsatisfiable for Vampire---4
% 0.64/0.78 % SZS output start Proof for Vampire---4
% See solution above
% 0.64/0.78 % (21900)------------------------------
% 0.64/0.78 % (21900)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.64/0.78 % (21900)Termination reason: Refutation
% 0.64/0.78
% 0.64/0.78 % (21900)Memory used [KB]: 1245
% 0.64/0.78 % (21900)Time elapsed: 0.009 s
% 0.64/0.78 % (21900)Instructions burned: 17 (million)
% 0.64/0.78 % (21890)Success in time 0.442 s
% 0.64/0.78 % Vampire---4.8 exiting
%------------------------------------------------------------------------------