TSTP Solution File: SET079+1 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SET079+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 : n003.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 03:44:49 EDT 2024
% Result : Theorem 0.77s 0.93s
% Output : Refutation 0.77s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 5
% Syntax : Number of formulae : 21 ( 9 unt; 0 def)
% Number of atoms : 52 ( 23 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 49 ( 18 ~; 14 |; 12 &)
% ( 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 : 25 ( 23 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f231,plain,
$false,
inference(subsumption_resolution,[],[f230,f118]) ).
fof(f118,plain,
member(sK0,universal_class),
inference(cnf_transformation,[],[f77]) ).
fof(f77,plain,
( null_class = singleton(sK0)
& member(sK0,universal_class) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f66,f76]) ).
fof(f76,plain,
( ? [X0] :
( singleton(X0) = null_class
& member(X0,universal_class) )
=> ( null_class = singleton(sK0)
& member(sK0,universal_class) ) ),
introduced(choice_axiom,[]) ).
fof(f66,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/sandbox2/tmp/tmp.8XxHwQtYTF/Vampire---4.8_20964',corollary_to_set_in_its_singleton) ).
fof(f230,plain,
~ member(sK0,universal_class),
inference(subsumption_resolution,[],[f229,f138]) ).
fof(f138,plain,
! [X0] : ~ member(X0,null_class),
inference(cnf_transformation,[],[f16]) ).
fof(f16,axiom,
! [X0] : ~ member(X0,null_class),
file('/export/starexec/sandbox2/tmp/tmp.8XxHwQtYTF/Vampire---4.8_20964',null_class_defn) ).
fof(f229,plain,
( member(sK0,null_class)
| ~ member(sK0,universal_class) ),
inference(superposition,[],[f219,f194]) ).
fof(f194,plain,
null_class = unordered_pair(sK0,sK0),
inference(definition_unfolding,[],[f119,f129]) ).
fof(f129,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.8XxHwQtYTF/Vampire---4.8_20964',singleton_set_defn) ).
fof(f119,plain,
null_class = singleton(sK0),
inference(cnf_transformation,[],[f77]) ).
fof(f219,plain,
! [X2,X1] :
( member(X2,unordered_pair(X1,X2))
| ~ member(X2,universal_class) ),
inference(equality_resolution,[],[f166]) ).
fof(f166,plain,
! [X2,X0,X1] :
( member(X0,unordered_pair(X1,X2))
| X0 != X2
| ~ member(X0,universal_class) ),
inference(cnf_transformation,[],[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(flattening,[],[f100]) ).
fof(f100,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.8XxHwQtYTF/Vampire---4.8_20964',unordered_pair_defn) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : SET079+1 : TPTP v8.1.2. Bugfixed v5.4.0.
% 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 : n003.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 : Tue Apr 30 17:20:49 EDT 2024
% 0.15/0.36 % CPUTime :
% 0.15/0.36 This is a FOF_THM_RFO_SEQ 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.8XxHwQtYTF/Vampire---4.8_20964
% 0.68/0.92 % (21253)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2994ds/78Mi)
% 0.68/0.92 % (21254)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on Vampire---4 for (2994ds/33Mi)
% 0.68/0.92 % (21251)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 (2994ds/34Mi)
% 0.68/0.92 % (21255)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 (2994ds/34Mi)
% 0.68/0.92 % (21252)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 (2994ds/51Mi)
% 0.68/0.92 % (21256)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on Vampire---4 for (2994ds/45Mi)
% 0.68/0.92 % (21257)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 (2994ds/83Mi)
% 0.68/0.92 % (21258)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 (2994ds/56Mi)
% 0.68/0.92 % (21254)Refutation not found, incomplete strategy% (21254)------------------------------
% 0.68/0.92 % (21254)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.68/0.92 % (21254)Termination reason: Refutation not found, incomplete strategy
% 0.68/0.92
% 0.68/0.92 % (21254)Memory used [KB]: 1035
% 0.68/0.92 % (21256)Refutation not found, incomplete strategy% (21256)------------------------------
% 0.68/0.92 % (21256)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.68/0.92 % (21256)Termination reason: Refutation not found, incomplete strategy
% 0.68/0.92
% 0.68/0.92 % (21256)Memory used [KB]: 1036
% 0.68/0.92 % (21256)Time elapsed: 0.002 s
% 0.68/0.92 % (21256)Instructions burned: 2 (million)
% 0.68/0.92 % (21256)------------------------------
% 0.68/0.92 % (21256)------------------------------
% 0.68/0.92 % (21254)Time elapsed: 0.003 s
% 0.68/0.92 % (21254)Instructions burned: 2 (million)
% 0.68/0.92 % (21254)------------------------------
% 0.68/0.92 % (21254)------------------------------
% 0.77/0.93 % (21257)Refutation not found, incomplete strategy% (21257)------------------------------
% 0.77/0.93 % (21257)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.77/0.93 % (21258)Refutation not found, incomplete strategy% (21258)------------------------------
% 0.77/0.93 % (21258)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.77/0.93 % (21258)Termination reason: Refutation not found, incomplete strategy
% 0.77/0.93
% 0.77/0.93 % (21258)Memory used [KB]: 1035
% 0.77/0.93 % (21258)Time elapsed: 0.002 s
% 0.77/0.93 % (21258)Instructions burned: 2 (million)
% 0.77/0.93 % (21258)------------------------------
% 0.77/0.93 % (21258)------------------------------
% 0.77/0.93 % (21257)Termination reason: Refutation not found, incomplete strategy
% 0.77/0.93
% 0.77/0.93 % (21257)Memory used [KB]: 1039
% 0.77/0.93 % (21257)Time elapsed: 0.003 s
% 0.77/0.93 % (21257)Instructions burned: 3 (million)
% 0.77/0.93 % (21257)------------------------------
% 0.77/0.93 % (21257)------------------------------
% 0.77/0.93 % (21253)First to succeed.
% 0.77/0.93 % (21259)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 (2994ds/55Mi)
% 0.77/0.93 % (21252)Also succeeded, but the first one will report.
% 0.77/0.93 % (21260)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 (2994ds/50Mi)
% 0.77/0.93 % (21261)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 (2994ds/208Mi)
% 0.77/0.93 % (21262)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 (2994ds/52Mi)
% 0.77/0.93 % (21253)Refutation found. Thanks to Tanya!
% 0.77/0.93 % SZS status Theorem for Vampire---4
% 0.77/0.93 % SZS output start Proof for Vampire---4
% See solution above
% 0.77/0.93 % (21253)------------------------------
% 0.77/0.93 % (21253)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.77/0.93 % (21253)Termination reason: Refutation
% 0.77/0.93
% 0.77/0.93 % (21253)Memory used [KB]: 1160
% 0.77/0.93 % (21253)Time elapsed: 0.006 s
% 0.77/0.93 % (21253)Instructions burned: 9 (million)
% 0.77/0.93 % (21253)------------------------------
% 0.77/0.93 % (21253)------------------------------
% 0.77/0.93 % (21168)Success in time 0.558 s
% 0.77/0.93 % Vampire---4.8 exiting
%------------------------------------------------------------------------------