TSTP Solution File: SET553-6 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SET553-6 : TPTP v8.2.0. 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 : n015.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 03:12:02 EDT 2024
% Result : Unsatisfiable 0.62s 0.82s
% Output : Refutation 0.62s
% 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/benchmark/theBenchmark.p',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/benchmark/theBenchmark.p',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/benchmark/theBenchmark.p',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/benchmark/theBenchmark.p',inverse) ).
fof(f76,axiom,
! [X5] : complement(domain_of(intersection(X5,identity_relation))) = diagonalise(X5),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',diagonalisation) ).
fof(f77,axiom,
! [X0] : intersection(domain_of(X0),diagonalise(compose(inverse(element_relation),X0))) = cantor(X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cantor_class) ).
fof(f113,axiom,
~ subclass(cantor(x),domain_of(x)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',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/benchmark/theBenchmark.p',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/benchmark/theBenchmark.p',not_subclass_members1) ).
fof(f185,plain,
intersection(sF0,sF7) = sF8,
introduced(function_definition,[new_symbols(definition,[sF8])]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SET553-6 : TPTP v8.2.0. Bugfixed v2.1.0.
% 0.07/0.14 % 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
% 0.16/0.36 % Computer : n015.cluster.edu
% 0.16/0.36 % Model : x86_64 x86_64
% 0.16/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.36 % Memory : 8042.1875MB
% 0.16/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.36 % CPULimit : 300
% 0.16/0.36 % WCLimit : 300
% 0.16/0.36 % DateTime : Mon May 20 11:38:38 EDT 2024
% 0.16/0.36 % CPUTime :
% 0.16/0.36 This is a CNF_UNS_RFO_SEQ_NHN problem
% 0.16/0.36 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/benchmark/theBenchmark.p
% 0.62/0.81 % (22739)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on theBenchmark for (2995ds/78Mi)
% 0.62/0.81 % (22740)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on theBenchmark for (2995ds/33Mi)
% 0.62/0.81 % (22737)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 (2995ds/34Mi)
% 0.62/0.81 % (22741)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 (2995ds/34Mi)
% 0.62/0.81 % (22738)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 (2995ds/51Mi)
% 0.62/0.81 % (22743)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 (2995ds/83Mi)
% 0.62/0.81 % (22744)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 (2995ds/56Mi)
% 0.62/0.81 % (22742)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on theBenchmark for (2995ds/45Mi)
% 0.62/0.81 % (22744)Refutation not found, incomplete strategy% (22744)------------------------------
% 0.62/0.81 % (22744)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.62/0.81 % (22744)Termination reason: Refutation not found, incomplete strategy
% 0.62/0.81
% 0.62/0.81 % (22740)Refutation not found, incomplete strategy% (22740)------------------------------
% 0.62/0.81 % (22740)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.62/0.81 % (22740)Termination reason: Refutation not found, incomplete strategy
% 0.62/0.81
% 0.62/0.81 % (22740)Memory used [KB]: 1087
% 0.62/0.81 % (22740)Time elapsed: 0.003 s
% 0.62/0.81 % (22740)Instructions burned: 2 (million)
% 0.62/0.81 % (22744)Memory used [KB]: 1087
% 0.62/0.81 % (22744)Time elapsed: 0.003 s
% 0.62/0.81 % (22744)Instructions burned: 2 (million)
% 0.62/0.81 % (22742)Refutation not found, incomplete strategy% (22742)------------------------------
% 0.62/0.81 % (22742)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.62/0.81 % (22742)Termination reason: Refutation not found, incomplete strategy
% 0.62/0.81 % (22737)Refutation not found, incomplete strategy% (22737)------------------------------
% 0.62/0.81 % (22737)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.62/0.81 % (22737)Termination reason: Refutation not found, incomplete strategy
% 0.62/0.81
% 0.62/0.81 % (22737)Memory used [KB]: 1103
% 0.62/0.81 % (22737)Time elapsed: 0.003 s
% 0.62/0.81 % (22737)Instructions burned: 3 (million)
% 0.62/0.81
% 0.62/0.81 % (22742)Memory used [KB]: 1087
% 0.62/0.81 % (22742)Time elapsed: 0.003 s
% 0.62/0.81 % (22740)------------------------------
% 0.62/0.81 % (22740)------------------------------
% 0.62/0.81 % (22742)Instructions burned: 3 (million)
% 0.62/0.81 % (22744)------------------------------
% 0.62/0.81 % (22744)------------------------------
% 0.62/0.81 % (22737)------------------------------
% 0.62/0.81 % (22737)------------------------------
% 0.62/0.81 % (22743)Refutation not found, incomplete strategy% (22743)------------------------------
% 0.62/0.81 % (22743)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.62/0.81 % (22743)Termination reason: Refutation not found, incomplete strategy
% 0.62/0.81
% 0.62/0.81 % (22743)Memory used [KB]: 1088
% 0.62/0.81 % (22743)Time elapsed: 0.003 s
% 0.62/0.81 % (22743)Instructions burned: 3 (million)
% 0.62/0.81 % (22742)------------------------------
% 0.62/0.81 % (22742)------------------------------
% 0.62/0.81 % (22743)------------------------------
% 0.62/0.81 % (22743)------------------------------
% 0.62/0.81 % (22741)Refutation not found, incomplete strategy% (22741)------------------------------
% 0.62/0.81 % (22741)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.62/0.81 % (22741)Termination reason: Refutation not found, incomplete strategy
% 0.62/0.81
% 0.62/0.81 % (22741)Memory used [KB]: 1146
% 0.62/0.81 % (22741)Time elapsed: 0.005 s
% 0.62/0.81 % (22741)Instructions burned: 6 (million)
% 0.62/0.81 % (22741)------------------------------
% 0.62/0.81 % (22741)------------------------------
% 0.62/0.81 % (22746)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 (2995ds/55Mi)
% 0.62/0.81 % (22749)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 (2995ds/52Mi)
% 0.62/0.81 % (22747)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 (2995ds/50Mi)
% 0.62/0.81 % (22748)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 (2995ds/208Mi)
% 0.62/0.81 % (22750)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 (2995ds/518Mi)
% 0.62/0.81 % (22746)Refutation not found, incomplete strategy% (22746)------------------------------
% 0.62/0.81 % (22746)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.62/0.81 % (22746)Termination reason: Refutation not found, incomplete strategy
% 0.62/0.81
% 0.62/0.81 % (22746)Memory used [KB]: 1087
% 0.62/0.81 % (22746)Time elapsed: 0.003 s
% 0.62/0.81 % (22746)Instructions burned: 2 (million)
% 0.62/0.81 % (22746)------------------------------
% 0.62/0.81 % (22746)------------------------------
% 0.62/0.81 % (22751)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 (2995ds/42Mi)
% 0.62/0.81 % (22748)Refutation not found, incomplete strategy% (22748)------------------------------
% 0.62/0.81 % (22748)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.62/0.81 % (22748)Termination reason: Refutation not found, incomplete strategy
% 0.62/0.81
% 0.62/0.81 % (22748)Memory used [KB]: 1108
% 0.62/0.81 % (22748)Time elapsed: 0.003 s
% 0.62/0.81 % (22748)Instructions burned: 3 (million)
% 0.62/0.81 % (22748)------------------------------
% 0.62/0.81 % (22748)------------------------------
% 0.62/0.81 % (22750)Refutation not found, incomplete strategy% (22750)------------------------------
% 0.62/0.81 % (22750)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.62/0.81 % (22750)Termination reason: Refutation not found, incomplete strategy
% 0.62/0.81
% 0.62/0.81 % (22750)Memory used [KB]: 1143
% 0.62/0.81 % (22750)Time elapsed: 0.004 s
% 0.62/0.81 % (22750)Instructions burned: 4 (million)
% 0.62/0.81 % (22750)------------------------------
% 0.62/0.81 % (22750)------------------------------
% 0.62/0.82 % (22753)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 theBenchmark for (2995ds/243Mi)
% 0.62/0.82 % (22754)lrs+1011_2:9_sil=2000:lsd=10:newcnf=on:i=117:sd=2:awrs=decay:ss=included:amm=off:ep=R_0 on theBenchmark for (2995ds/117Mi)
% 0.62/0.82 % (22755)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 theBenchmark for (2995ds/143Mi)
% 0.62/0.82 % (22754)Refutation not found, incomplete strategy% (22754)------------------------------
% 0.62/0.82 % (22754)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.62/0.82 % (22754)Termination reason: Refutation not found, incomplete strategy
% 0.62/0.82
% 0.62/0.82 % (22754)Memory used [KB]: 1107
% 0.62/0.82 % (22754)Time elapsed: 0.003 s
% 0.62/0.82 % (22754)Instructions burned: 3 (million)
% 0.62/0.82 % (22754)------------------------------
% 0.62/0.82 % (22754)------------------------------
% 0.62/0.82 % (22747)First to succeed.
% 0.62/0.82 % (22747)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-22700"
% 0.62/0.82 % (22747)Refutation found. Thanks to Tanya!
% 0.62/0.82 % SZS status Unsatisfiable for theBenchmark
% 0.62/0.82 % SZS output start Proof for theBenchmark
% See solution above
% 0.62/0.82 % (22747)------------------------------
% 0.62/0.82 % (22747)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.62/0.82 % (22747)Termination reason: Refutation
% 0.62/0.82
% 0.62/0.82 % (22747)Memory used [KB]: 1260
% 0.62/0.82 % (22747)Time elapsed: 0.011 s
% 0.62/0.82 % (22747)Instructions burned: 17 (million)
% 0.62/0.82 % (22700)Success in time 0.454 s
% 0.62/0.82 % Vampire---4.8 exiting
%------------------------------------------------------------------------------