TSTP Solution File: SET083+1 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SET083+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/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% Computer : n026.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 : Wed May 1 03:44:50 EDT 2024
% Result : Theorem 0.60s 0.81s
% Output : Refutation 0.60s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 4
% Syntax : Number of formulae : 24 ( 8 unt; 0 def)
% Number of atoms : 68 ( 38 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 67 ( 23 ~; 19 |; 20 &)
% ( 2 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 34 ( 28 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f328,plain,
$false,
inference(subsumption_resolution,[],[f327,f120]) ).
fof(f120,plain,
member(sK0,universal_class),
inference(cnf_transformation,[],[f78]) ).
fof(f78,plain,
( sK0 != sK1
& member(sK0,universal_class)
& singleton(sK0) = singleton(sK1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f67,f77]) ).
fof(f77,plain,
( ? [X0,X1] :
( X0 != X1
& member(X0,universal_class)
& singleton(X0) = singleton(X1) )
=> ( sK0 != sK1
& member(sK0,universal_class)
& singleton(sK0) = singleton(sK1) ) ),
introduced(choice_axiom,[]) ).
fof(f67,plain,
? [X0,X1] :
( X0 != X1
& member(X0,universal_class)
& singleton(X0) = singleton(X1) ),
inference(flattening,[],[f66]) ).
fof(f66,plain,
? [X0,X1] :
( X0 != X1
& member(X0,universal_class)
& singleton(X0) = singleton(X1) ),
inference(ennf_transformation,[],[f45]) ).
fof(f45,negated_conjecture,
~ ! [X0,X1] :
( ( member(X0,universal_class)
& singleton(X0) = singleton(X1) )
=> X0 = X1 ),
inference(negated_conjecture,[],[f44]) ).
fof(f44,conjecture,
! [X0,X1] :
( ( member(X0,universal_class)
& singleton(X0) = singleton(X1) )
=> X0 = X1 ),
file('/export/starexec/sandbox2/tmp/tmp.zfGzU5P3Tw/Vampire---4.8_8953',singleton_identified_by_element1) ).
fof(f327,plain,
~ member(sK0,universal_class),
inference(subsumption_resolution,[],[f323,f121]) ).
fof(f121,plain,
sK0 != sK1,
inference(cnf_transformation,[],[f78]) ).
fof(f323,plain,
( sK0 = sK1
| ~ member(sK0,universal_class) ),
inference(resolution,[],[f322,f221]) ).
fof(f221,plain,
! [X2,X1] :
( member(X2,unordered_pair(X1,X2))
| ~ member(X2,universal_class) ),
inference(equality_resolution,[],[f168]) ).
fof(f168,plain,
! [X2,X0,X1] :
( member(X0,unordered_pair(X1,X2))
| X0 != X2
| ~ member(X0,universal_class) ),
inference(cnf_transformation,[],[f102]) ).
fof(f102,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,[],[f101]) ).
fof(f101,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,[],[f61]) ).
fof(f61,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/sandbox2/tmp/tmp.zfGzU5P3Tw/Vampire---4.8_8953',unordered_pair_defn) ).
fof(f322,plain,
! [X0] :
( ~ member(X0,unordered_pair(sK0,sK0))
| sK1 = X0 ),
inference(duplicate_literal_removal,[],[f321]) ).
fof(f321,plain,
! [X0] :
( ~ member(X0,unordered_pair(sK0,sK0))
| sK1 = X0
| sK1 = X0 ),
inference(superposition,[],[f166,f196]) ).
fof(f196,plain,
unordered_pair(sK0,sK0) = unordered_pair(sK1,sK1),
inference(definition_unfolding,[],[f119,f131,f131]) ).
fof(f131,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/sandbox2/tmp/tmp.zfGzU5P3Tw/Vampire---4.8_8953',singleton_set_defn) ).
fof(f119,plain,
singleton(sK0) = singleton(sK1),
inference(cnf_transformation,[],[f78]) ).
fof(f166,plain,
! [X2,X0,X1] :
( ~ member(X0,unordered_pair(X1,X2))
| X0 = X1
| X0 = X2 ),
inference(cnf_transformation,[],[f102]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.10 % Problem : SET083+1 : TPTP v8.1.2. Bugfixed v5.4.0.
% 0.02/0.11 % 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
% 0.11/0.31 % Computer : n026.cluster.edu
% 0.11/0.31 % Model : x86_64 x86_64
% 0.11/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.31 % Memory : 8042.1875MB
% 0.11/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.31 % CPULimit : 300
% 0.11/0.31 % WCLimit : 300
% 0.11/0.31 % DateTime : Tue Apr 30 17:32:34 EDT 2024
% 0.11/0.31 % CPUTime :
% 0.11/0.31 This is a FOF_THM_RFO_SEQ problem
% 0.16/0.31 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.zfGzU5P3Tw/Vampire---4.8_8953
% 0.60/0.80 % (9066)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)
% 0.60/0.80 % (9065)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)
% 0.60/0.80 % (9067)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)
% 0.60/0.80 % (9068)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)
% 0.60/0.80 % (9063)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)
% 0.60/0.80 % (9069)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)
% 0.60/0.80 % (9064)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2995ds/78Mi)
% 0.60/0.80 % (9069)Refutation not found, incomplete strategy% (9069)------------------------------
% 0.60/0.80 % (9069)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.60/0.80 % (9067)Refutation not found, incomplete strategy% (9067)------------------------------
% 0.60/0.80 % (9067)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.60/0.80 % (9067)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.80
% 0.60/0.80 % (9067)Memory used [KB]: 1036
% 0.60/0.80 % (9067)Time elapsed: 0.003 s
% 0.60/0.80 % (9067)Instructions burned: 2 (million)
% 0.60/0.80 % (9067)------------------------------
% 0.60/0.80 % (9067)------------------------------
% 0.60/0.80 % (9069)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.80
% 0.60/0.80 % (9069)Memory used [KB]: 1035
% 0.60/0.80 % (9069)Time elapsed: 0.002 s
% 0.60/0.80 % (9069)Instructions burned: 2 (million)
% 0.60/0.80 % (9069)------------------------------
% 0.60/0.80 % (9069)------------------------------
% 0.60/0.80 % (9068)Refutation not found, incomplete strategy% (9068)------------------------------
% 0.60/0.80 % (9068)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.60/0.80 % (9068)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.80
% 0.60/0.80 % (9068)Memory used [KB]: 1038
% 0.60/0.80 % (9068)Time elapsed: 0.003 s
% 0.60/0.80 % (9068)Instructions burned: 2 (million)
% 0.60/0.80 % (9062)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)
% 0.60/0.80 % (9068)------------------------------
% 0.60/0.80 % (9068)------------------------------
% 0.60/0.80 % (9065)Refutation not found, incomplete strategy% (9065)------------------------------
% 0.60/0.80 % (9065)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.60/0.80 % (9065)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.80
% 0.60/0.80 % (9065)Memory used [KB]: 1036
% 0.60/0.80 % (9065)Time elapsed: 0.003 s
% 0.60/0.80 % (9065)Instructions burned: 2 (million)
% 0.60/0.80 % (9065)------------------------------
% 0.60/0.80 % (9065)------------------------------
% 0.60/0.80 % (9070)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)
% 0.60/0.80 % (9072)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)
% 0.60/0.80 % (9071)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)
% 0.60/0.80 % (9070)Refutation not found, incomplete strategy% (9070)------------------------------
% 0.60/0.80 % (9070)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.60/0.80 % (9070)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.80
% 0.60/0.80 % (9070)Memory used [KB]: 1037
% 0.60/0.80 % (9070)Time elapsed: 0.002 s
% 0.60/0.80 % (9070)Instructions burned: 2 (million)
% 0.60/0.80 % (9070)------------------------------
% 0.60/0.80 % (9070)------------------------------
% 0.60/0.80 % (9073)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)
% 0.60/0.80 % (9072)Refutation not found, incomplete strategy% (9072)------------------------------
% 0.60/0.80 % (9072)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.60/0.80 % (9072)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.80
% 0.60/0.80 % (9072)Memory used [KB]: 1039
% 0.60/0.80 % (9072)Time elapsed: 0.002 s
% 0.60/0.80 % (9072)Instructions burned: 2 (million)
% 0.60/0.80 % (9072)------------------------------
% 0.60/0.80 % (9072)------------------------------
% 0.60/0.80 % (9064)First to succeed.
% 0.60/0.81 % (9064)Refutation found. Thanks to Tanya!
% 0.60/0.81 % SZS status Theorem for Vampire---4
% 0.60/0.81 % SZS output start Proof for Vampire---4
% See solution above
% 0.60/0.81 % (9064)------------------------------
% 0.60/0.81 % (9064)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.60/0.81 % (9064)Termination reason: Refutation
% 0.60/0.81
% 0.60/0.81 % (9064)Memory used [KB]: 1173
% 0.60/0.81 % (9064)Time elapsed: 0.009 s
% 0.60/0.81 % (9064)Instructions burned: 12 (million)
% 0.60/0.81 % (9064)------------------------------
% 0.60/0.81 % (9064)------------------------------
% 0.60/0.81 % (9061)Success in time 0.486 s
% 0.60/0.81 % Vampire---4.8 exiting
%------------------------------------------------------------------------------