TSTP Solution File: SET082+1 by Vampire---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SET082+1 : TPTP v8.1.2. Bugfixed v5.4.0.
% 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 : n022.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 09:03:43 EDT 2024
% Result : Theorem 0.61s 0.76s
% Output : Refutation 0.61s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 10
% Syntax : Number of formulae : 46 ( 11 unt; 0 def)
% Number of atoms : 127 ( 33 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 134 ( 53 ~; 44 |; 25 &)
% ( 7 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 3 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-2 aty)
% Number of variables : 58 ( 53 !; 5 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f383,plain,
$false,
inference(avatar_sat_refutation,[],[f297,f316,f382]) ).
fof(f382,plain,
spl7_2,
inference(avatar_contradiction_clause,[],[f381]) ).
fof(f381,plain,
( $false
| spl7_2 ),
inference(subsumption_resolution,[],[f380,f267]) ).
fof(f267,plain,
! [X0,X1] : ~ member(sK0,unordered_pair(X0,X1)),
inference(resolution,[],[f192,f132]) ).
fof(f132,plain,
~ member(sK0,universal_class),
inference(cnf_transformation,[],[f85]) ).
fof(f85,plain,
( null_class != singleton(sK0)
& ~ member(sK0,universal_class) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f70,f84]) ).
fof(f84,plain,
( ? [X0] :
( singleton(X0) != null_class
& ~ member(X0,universal_class) )
=> ( null_class != singleton(sK0)
& ~ member(sK0,universal_class) ) ),
introduced(choice_axiom,[]) ).
fof(f70,plain,
? [X0] :
( singleton(X0) != null_class
& ~ member(X0,universal_class) ),
inference(ennf_transformation,[],[f45]) ).
fof(f45,negated_conjecture,
~ ! [X0] :
( ~ member(X0,universal_class)
=> singleton(X0) = null_class ),
inference(negated_conjecture,[],[f44]) ).
fof(f44,conjecture,
! [X0] :
( ~ member(X0,universal_class)
=> singleton(X0) = null_class ),
file('/export/starexec/sandbox/tmp/tmp.YtvTUzTYmA/Vampire---4.8_30732',singleton_is_null_class) ).
fof(f192,plain,
! [X2,X0,X1] :
( member(X0,universal_class)
| ~ member(X0,unordered_pair(X1,X2)) ),
inference(cnf_transformation,[],[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(flattening,[],[f118]) ).
fof(f118,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,[],[f65]) ).
fof(f65,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/tmp/tmp.YtvTUzTYmA/Vampire---4.8_30732',unordered_pair_defn) ).
fof(f380,plain,
( member(sK0,unordered_pair(sK0,sK0))
| spl7_2 ),
inference(backward_demodulation,[],[f318,f379]) ).
fof(f379,plain,
( sK0 = sK6(unordered_pair(sK0,sK0),null_class)
| spl7_2 ),
inference(duplicate_literal_removal,[],[f377]) ).
fof(f377,plain,
( sK0 = sK6(unordered_pair(sK0,sK0),null_class)
| sK0 = sK6(unordered_pair(sK0,sK0),null_class)
| spl7_2 ),
inference(resolution,[],[f193,f318]) ).
fof(f193,plain,
! [X2,X0,X1] :
( ~ member(X0,unordered_pair(X1,X2))
| X0 = X1
| X0 = X2 ),
inference(cnf_transformation,[],[f119]) ).
fof(f318,plain,
( member(sK6(unordered_pair(sK0,sK0),null_class),unordered_pair(sK0,sK0))
| spl7_2 ),
inference(resolution,[],[f295,f212]) ).
fof(f212,plain,
! [X0,X1] :
( subclass(X0,X1)
| member(sK6(X0,X1),X0) ),
inference(cnf_transformation,[],[f129]) ).
fof(f129,plain,
! [X0,X1] :
( ( subclass(X0,X1)
| ( ~ member(sK6(X0,X1),X1)
& member(sK6(X0,X1),X0) ) )
& ( ! [X3] :
( member(X3,X1)
| ~ member(X3,X0) )
| ~ subclass(X0,X1) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK6])],[f127,f128]) ).
fof(f128,plain,
! [X0,X1] :
( ? [X2] :
( ~ member(X2,X1)
& member(X2,X0) )
=> ( ~ member(sK6(X0,X1),X1)
& member(sK6(X0,X1),X0) ) ),
introduced(choice_axiom,[]) ).
fof(f127,plain,
! [X0,X1] :
( ( subclass(X0,X1)
| ? [X2] :
( ~ member(X2,X1)
& member(X2,X0) ) )
& ( ! [X3] :
( member(X3,X1)
| ~ member(X3,X0) )
| ~ subclass(X0,X1) ) ),
inference(rectify,[],[f126]) ).
fof(f126,plain,
! [X0,X1] :
( ( subclass(X0,X1)
| ? [X2] :
( ~ member(X2,X1)
& member(X2,X0) ) )
& ( ! [X2] :
( member(X2,X1)
| ~ member(X2,X0) )
| ~ subclass(X0,X1) ) ),
inference(nnf_transformation,[],[f82]) ).
fof(f82,plain,
! [X0,X1] :
( subclass(X0,X1)
<=> ! [X2] :
( member(X2,X1)
| ~ member(X2,X0) ) ),
inference(ennf_transformation,[],[f1]) ).
fof(f1,axiom,
! [X0,X1] :
( subclass(X0,X1)
<=> ! [X2] :
( member(X2,X0)
=> member(X2,X1) ) ),
file('/export/starexec/sandbox/tmp/tmp.YtvTUzTYmA/Vampire---4.8_30732',subclass_defn) ).
fof(f295,plain,
( ~ subclass(unordered_pair(sK0,sK0),null_class)
| spl7_2 ),
inference(avatar_component_clause,[],[f294]) ).
fof(f294,plain,
( spl7_2
<=> subclass(unordered_pair(sK0,sK0),null_class) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_2])]) ).
fof(f316,plain,
spl7_1,
inference(avatar_contradiction_clause,[],[f315]) ).
fof(f315,plain,
( $false
| spl7_1 ),
inference(subsumption_resolution,[],[f313,f152]) ).
fof(f152,plain,
! [X0] : ~ member(X0,null_class),
inference(cnf_transformation,[],[f16]) ).
fof(f16,axiom,
! [X0] : ~ member(X0,null_class),
file('/export/starexec/sandbox/tmp/tmp.YtvTUzTYmA/Vampire---4.8_30732',null_class_defn) ).
fof(f313,plain,
( member(sK6(null_class,unordered_pair(sK0,sK0)),null_class)
| spl7_1 ),
inference(resolution,[],[f292,f212]) ).
fof(f292,plain,
( ~ subclass(null_class,unordered_pair(sK0,sK0))
| spl7_1 ),
inference(avatar_component_clause,[],[f291]) ).
fof(f291,plain,
( spl7_1
<=> subclass(null_class,unordered_pair(sK0,sK0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_1])]) ).
fof(f297,plain,
( ~ spl7_2
| ~ spl7_1 ),
inference(avatar_split_clause,[],[f274,f291,f294]) ).
fof(f274,plain,
( ~ subclass(null_class,unordered_pair(sK0,sK0))
| ~ subclass(unordered_pair(sK0,sK0),null_class) ),
inference(extensionality_resolution,[],[f209,f223]) ).
fof(f223,plain,
null_class != unordered_pair(sK0,sK0),
inference(definition_unfolding,[],[f133,f143]) ).
fof(f143,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/tmp/tmp.YtvTUzTYmA/Vampire---4.8_30732',singleton_set_defn) ).
fof(f133,plain,
null_class != singleton(sK0),
inference(cnf_transformation,[],[f85]) ).
fof(f209,plain,
! [X0,X1] :
( ~ subclass(X1,X0)
| X0 = X1
| ~ subclass(X0,X1) ),
inference(cnf_transformation,[],[f125]) ).
fof(f125,plain,
! [X0,X1] :
( ( X0 = X1
| ~ subclass(X1,X0)
| ~ subclass(X0,X1) )
& ( ( subclass(X1,X0)
& subclass(X0,X1) )
| X0 != X1 ) ),
inference(flattening,[],[f124]) ).
fof(f124,plain,
! [X0,X1] :
( ( X0 = X1
| ~ subclass(X1,X0)
| ~ subclass(X0,X1) )
& ( ( subclass(X1,X0)
& subclass(X0,X1) )
| X0 != X1 ) ),
inference(nnf_transformation,[],[f3]) ).
fof(f3,axiom,
! [X0,X1] :
( X0 = X1
<=> ( subclass(X1,X0)
& subclass(X0,X1) ) ),
file('/export/starexec/sandbox/tmp/tmp.YtvTUzTYmA/Vampire---4.8_30732',extensionality) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : SET082+1 : TPTP v8.1.2. Bugfixed v5.4.0.
% 0.06/0.14 % 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
% 0.14/0.35 % Computer : n022.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Fri May 3 16:24:38 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.14/0.35 This is a FOF_THM_RFO_SEQ problem
% 0.14/0.35 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/tmp/tmp.YtvTUzTYmA/Vampire---4.8_30732
% 0.54/0.74 % (30848)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)
% 0.54/0.74 % (30848)Refutation not found, incomplete strategy% (30848)------------------------------
% 0.54/0.74 % (30848)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.54/0.74 % (30848)Termination reason: Refutation not found, incomplete strategy
% 0.54/0.74
% 0.54/0.74 % (30848)Memory used [KB]: 1035
% 0.54/0.74 % (30848)Time elapsed: 0.001 s
% 0.54/0.74 % (30848)Instructions burned: 2 (million)
% 0.54/0.74 % (30848)------------------------------
% 0.54/0.74 % (30848)------------------------------
% 0.54/0.74 % (30841)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)
% 0.54/0.74 % (30844)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)
% 0.54/0.74 % (30842)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)
% 0.54/0.74 % (30846)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)
% 0.54/0.74 % (30845)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)
% 0.54/0.74 % (30843)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.54/0.74 % (30847)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)
% 0.54/0.74 % (30844)Refutation not found, incomplete strategy% (30844)------------------------------
% 0.54/0.74 % (30844)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.54/0.74 % (30846)Refutation not found, incomplete strategy% (30846)------------------------------
% 0.54/0.74 % (30846)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.54/0.74 % (30844)Termination reason: Refutation not found, incomplete strategy
% 0.54/0.74
% 0.54/0.74 % (30844)Memory used [KB]: 971
% 0.54/0.74 % (30844)Time elapsed: 0.002 s
% 0.54/0.74 % (30844)Instructions burned: 2 (million)
% 0.54/0.74 % (30846)Termination reason: Refutation not found, incomplete strategy
% 0.54/0.74
% 0.54/0.74 % (30846)Memory used [KB]: 1035
% 0.54/0.74 % (30846)Time elapsed: 0.002 s
% 0.54/0.74 % (30846)Instructions burned: 2 (million)
% 0.54/0.74 % (30844)------------------------------
% 0.54/0.74 % (30844)------------------------------
% 0.54/0.74 % (30846)------------------------------
% 0.54/0.74 % (30846)------------------------------
% 0.54/0.74 % (30847)Refutation not found, incomplete strategy% (30847)------------------------------
% 0.54/0.74 % (30847)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.54/0.74 % (30847)Termination reason: Refutation not found, incomplete strategy
% 0.54/0.74
% 0.54/0.74 % (30847)Memory used [KB]: 1038
% 0.54/0.74 % (30847)Time elapsed: 0.003 s
% 0.54/0.74 % (30847)Instructions burned: 3 (million)
% 0.54/0.74 % (30849)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)
% 0.54/0.74 % (30847)------------------------------
% 0.54/0.74 % (30847)------------------------------
% 0.54/0.74 % (30849)Refutation not found, incomplete strategy% (30849)------------------------------
% 0.54/0.74 % (30849)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.54/0.74 % (30849)Termination reason: Refutation not found, incomplete strategy
% 0.54/0.74
% 0.54/0.74 % (30849)Memory used [KB]: 1035
% 0.54/0.74 % (30849)Time elapsed: 0.001 s
% 0.54/0.74 % (30849)Instructions burned: 2 (million)
% 0.54/0.74 % (30849)------------------------------
% 0.54/0.74 % (30849)------------------------------
% 0.54/0.74 % (30853)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)
% 0.54/0.74 % (30850)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)
% 0.54/0.74 % (30851)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)
% 0.54/0.75 % (30852)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)
% 0.54/0.75 % (30851)Refutation not found, incomplete strategy% (30851)------------------------------
% 0.54/0.75 % (30851)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.54/0.75 % (30851)Termination reason: Refutation not found, incomplete strategy
% 0.54/0.75
% 0.54/0.75 % (30851)Memory used [KB]: 1043
% 0.54/0.75 % (30851)Time elapsed: 0.004 s
% 0.54/0.75 % (30851)Instructions burned: 3 (million)
% 0.54/0.75 % (30851)------------------------------
% 0.54/0.75 % (30851)------------------------------
% 0.54/0.75 % (30854)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)
% 0.61/0.75 % (30854)Refutation not found, incomplete strategy% (30854)------------------------------
% 0.61/0.75 % (30854)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.61/0.75 % (30854)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.75
% 0.61/0.75 % (30854)Memory used [KB]: 1134
% 0.61/0.75 % (30854)Time elapsed: 0.005 s
% 0.61/0.75 % (30854)Instructions burned: 6 (million)
% 0.61/0.75 % (30852)First to succeed.
% 0.61/0.75 % (30854)------------------------------
% 0.61/0.75 % (30854)------------------------------
% 0.61/0.76 % (30852)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-30840"
% 0.61/0.76 % (30852)Refutation found. Thanks to Tanya!
% 0.61/0.76 % SZS status Theorem for Vampire---4
% 0.61/0.76 % SZS output start Proof for Vampire---4
% See solution above
% 0.61/0.76 % (30852)------------------------------
% 0.61/0.76 % (30852)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.61/0.76 % (30852)Termination reason: Refutation
% 0.61/0.76
% 0.61/0.76 % (30852)Memory used [KB]: 1188
% 0.61/0.76 % (30852)Time elapsed: 0.011 s
% 0.61/0.76 % (30852)Instructions burned: 16 (million)
% 0.61/0.76 % (30840)Success in time 0.395 s
% 0.61/0.76 % Vampire---4.8 exiting
%------------------------------------------------------------------------------