TSTP Solution File: SET091+1 by Vampire---4.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SET091+1 : TPTP v8.1.2. Bugfixed v7.3.0.
% 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 : n013.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 09:03:49 EDT 2024
% Result : Theorem 0.60s 0.79s
% Output : Refutation 0.60s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 4
% Syntax : Number of formulae : 21 ( 5 unt; 0 def)
% Number of atoms : 56 ( 42 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 67 ( 32 ~; 15 |; 16 &)
% ( 0 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-1 aty)
% Number of variables : 28 ( 19 !; 9 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f77,plain,
$false,
inference(trivial_inequality_removal,[],[f76]) ).
fof(f76,plain,
sK1 != sK1,
inference(duplicate_literal_removal,[],[f75]) ).
fof(f75,plain,
( sK1 != sK1
| sK1 != sK1 ),
inference(superposition,[],[f66,f70]) ).
fof(f70,plain,
! [X0] :
( member_of(X0) = X0
| sK1 != X0 ),
inference(subsumption_resolution,[],[f68,f63]) ).
fof(f63,plain,
! [X0] :
( member(member_of(X0),universal_class)
| member_of(X0) = X0 ),
inference(cnf_transformation,[],[f46]) ).
fof(f46,axiom,
! [X0] :
( member_of(X0) = X0
| member(member_of(X0),universal_class) ),
file('/export/starexec/sandbox2/tmp/tmp.gyB9NV7EDS/Vampire---4.8_7854',member_universal_self) ).
fof(f68,plain,
! [X0] :
( sK1 != X0
| ~ member(member_of(X0),universal_class)
| member_of(X0) = X0 ),
inference(superposition,[],[f67,f62]) ).
fof(f62,plain,
! [X0] :
( singleton(member_of(X0)) = X0
| member_of(X0) = X0 ),
inference(cnf_transformation,[],[f47]) ).
fof(f47,axiom,
! [X0] :
( member_of(X0) = X0
| singleton(member_of(X0)) = X0 ),
file('/export/starexec/sandbox2/tmp/tmp.gyB9NV7EDS/Vampire---4.8_7854',singleton_self) ).
fof(f67,plain,
! [X2] :
( singleton(X2) != sK1
| ~ member(X2,universal_class) ),
inference(definition_unfolding,[],[f59,f60]) ).
fof(f60,plain,
sK0 = sK1,
inference(cnf_transformation,[],[f58]) ).
fof(f58,plain,
( sK1 != member_of(sK0)
& sK0 = sK1
& ! [X2] :
( singleton(X2) != sK0
| ~ member(X2,universal_class) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f54,f57]) ).
fof(f57,plain,
( ? [X0,X1] :
( member_of(X0) != X1
& X0 = X1
& ! [X2] :
( singleton(X2) != X0
| ~ member(X2,universal_class) ) )
=> ( sK1 != member_of(sK0)
& sK0 = sK1
& ! [X2] :
( singleton(X2) != sK0
| ~ member(X2,universal_class) ) ) ),
introduced(choice_axiom,[]) ).
fof(f54,plain,
? [X0,X1] :
( member_of(X0) != X1
& X0 = X1
& ! [X2] :
( singleton(X2) != X0
| ~ member(X2,universal_class) ) ),
inference(flattening,[],[f53]) ).
fof(f53,plain,
? [X0,X1] :
( member_of(X0) != X1
& X0 = X1
& ! [X2] :
( singleton(X2) != X0
| ~ member(X2,universal_class) ) ),
inference(ennf_transformation,[],[f50]) ).
fof(f50,plain,
~ ! [X0,X1] :
( ( X0 = X1
& ~ ? [X2] :
( singleton(X2) = X0
& member(X2,universal_class) ) )
=> member_of(X0) = X1 ),
inference(rectify,[],[f49]) ).
fof(f49,negated_conjecture,
~ ! [X0,X2] :
( ( X0 = X2
& ~ ? [X1] :
( singleton(X1) = X0
& member(X1,universal_class) ) )
=> member_of(X0) = X2 ),
inference(negated_conjecture,[],[f48]) ).
fof(f48,conjecture,
! [X0,X2] :
( ( X0 = X2
& ~ ? [X1] :
( singleton(X1) = X0
& member(X1,universal_class) ) )
=> member_of(X0) = X2 ),
file('/export/starexec/sandbox2/tmp/tmp.gyB9NV7EDS/Vampire---4.8_7854',member_when_not_a_singleton) ).
fof(f59,plain,
! [X2] :
( singleton(X2) != sK0
| ~ member(X2,universal_class) ),
inference(cnf_transformation,[],[f58]) ).
fof(f66,plain,
sK1 != member_of(sK1),
inference(definition_unfolding,[],[f61,f60]) ).
fof(f61,plain,
sK1 != member_of(sK0),
inference(cnf_transformation,[],[f58]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : SET091+1 : TPTP v8.1.2. Bugfixed v7.3.0.
% 0.06/0.12 % 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
% 0.11/0.32 % Computer : n013.cluster.edu
% 0.11/0.32 % Model : x86_64 x86_64
% 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32 % Memory : 8042.1875MB
% 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32 % CPULimit : 300
% 0.11/0.32 % WCLimit : 300
% 0.11/0.32 % DateTime : Fri May 3 16:36:53 EDT 2024
% 0.11/0.32 % CPUTime :
% 0.11/0.32 This is a FOF_THM_RFO_SEQ problem
% 0.11/0.33 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.gyB9NV7EDS/Vampire---4.8_7854
% 0.60/0.78 % (7962)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)
% 0.60/0.78 % (7965)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)
% 0.60/0.78 % (7964)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2995ds/78Mi)
% 0.60/0.78 % (7963)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)
% 0.60/0.78 % (7966)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)
% 0.60/0.78 % (7967)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)
% 0.60/0.78 % (7968)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)
% 0.60/0.78 % (7969)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)
% 0.60/0.78 % (7969)Refutation not found, incomplete strategy% (7969)------------------------------
% 0.60/0.78 % (7969)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.79 % (7969)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.79
% 0.60/0.79 % (7969)Memory used [KB]: 1053
% 0.60/0.79 % (7969)Time elapsed: 0.002 s
% 0.60/0.79 % (7969)Instructions burned: 2 (million)
% 0.60/0.79 % (7965)Also succeeded, but the first one will report.
% 0.60/0.79 % (7967)First to succeed.
% 0.60/0.79 % (7964)Also succeeded, but the first one will report.
% 0.60/0.79 % (7968)Also succeeded, but the first one will report.
% 0.60/0.79 % (7969)------------------------------
% 0.60/0.79 % (7969)------------------------------
% 0.60/0.79 % (7962)Also succeeded, but the first one will report.
% 0.60/0.79 % (7967)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-7961"
% 0.60/0.79 % (7967)Refutation found. Thanks to Tanya!
% 0.60/0.79 % SZS status Theorem for Vampire---4
% 0.60/0.79 % SZS output start Proof for Vampire---4
% See solution above
% 0.60/0.79 % (7967)------------------------------
% 0.60/0.79 % (7967)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.79 % (7967)Termination reason: Refutation
% 0.60/0.79
% 0.60/0.79 % (7967)Memory used [KB]: 1062
% 0.60/0.79 % (7967)Time elapsed: 0.003 s
% 0.60/0.79 % (7967)Instructions burned: 3 (million)
% 0.60/0.79 % (7961)Success in time 0.456 s
% 0.60/0.79 % Vampire---4.8 exiting
%------------------------------------------------------------------------------