TSTP Solution File: SET065+1 by Vampire---4.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SET065+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 : n027.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 03:44:42 EDT 2024
% Result : Theorem 0.56s 0.75s
% Output : Refutation 0.56s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 7
% Syntax : Number of formulae : 26 ( 10 unt; 0 def)
% Number of atoms : 80 ( 0 equ)
% Maximal formula atoms : 8 ( 3 avg)
% Number of connectives : 85 ( 31 ~; 24 |; 23 &)
% ( 3 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 4 con; 0-2 aty)
% Number of variables : 39 ( 33 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f256,plain,
$false,
inference(resolution,[],[f255,f220]) ).
fof(f220,plain,
member(null_class,sK3),
inference(resolution,[],[f122,f143]) ).
fof(f143,plain,
inductive(sK3),
inference(cnf_transformation,[],[f93]) ).
fof(f93,plain,
( ! [X1] :
( subclass(sK3,X1)
| ~ inductive(X1) )
& inductive(sK3)
& member(sK3,universal_class) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK3])],[f74,f92]) ).
fof(f92,plain,
( ? [X0] :
( ! [X1] :
( subclass(X0,X1)
| ~ inductive(X1) )
& inductive(X0)
& member(X0,universal_class) )
=> ( ! [X1] :
( subclass(sK3,X1)
| ~ inductive(X1) )
& inductive(sK3)
& member(sK3,universal_class) ) ),
introduced(choice_axiom,[]) ).
fof(f74,plain,
? [X0] :
( ! [X1] :
( subclass(X0,X1)
| ~ inductive(X1) )
& inductive(X0)
& member(X0,universal_class) ),
inference(ennf_transformation,[],[f30]) ).
fof(f30,axiom,
? [X0] :
( ! [X1] :
( inductive(X1)
=> subclass(X0,X1) )
& inductive(X0)
& member(X0,universal_class) ),
file('/export/starexec/sandbox/tmp/tmp.KVlODb7BA6/Vampire---4.8_15690',infinity) ).
fof(f122,plain,
! [X0] :
( ~ inductive(X0)
| member(null_class,X0) ),
inference(cnf_transformation,[],[f81]) ).
fof(f81,plain,
! [X0] :
( ( inductive(X0)
| ~ subclass(image(successor_relation,X0),X0)
| ~ member(null_class,X0) )
& ( ( subclass(image(successor_relation,X0),X0)
& member(null_class,X0) )
| ~ inductive(X0) ) ),
inference(flattening,[],[f80]) ).
fof(f80,plain,
! [X0] :
( ( inductive(X0)
| ~ subclass(image(successor_relation,X0),X0)
| ~ member(null_class,X0) )
& ( ( subclass(image(successor_relation,X0),X0)
& member(null_class,X0) )
| ~ inductive(X0) ) ),
inference(nnf_transformation,[],[f29]) ).
fof(f29,axiom,
! [X0] :
( inductive(X0)
<=> ( subclass(image(successor_relation,X0),X0)
& member(null_class,X0) ) ),
file('/export/starexec/sandbox/tmp/tmp.KVlODb7BA6/Vampire---4.8_15690',inductive_defn) ).
fof(f255,plain,
! [X0] : ~ member(null_class,X0),
inference(subsumption_resolution,[],[f249,f138]) ).
fof(f138,plain,
! [X0] : subclass(X0,universal_class),
inference(cnf_transformation,[],[f2]) ).
fof(f2,axiom,
! [X0] : subclass(X0,universal_class),
file('/export/starexec/sandbox/tmp/tmp.KVlODb7BA6/Vampire---4.8_15690',class_elements_are_sets) ).
fof(f249,plain,
! [X0] :
( ~ member(null_class,X0)
| ~ subclass(X0,universal_class) ),
inference(resolution,[],[f139,f116]) ).
fof(f116,plain,
~ member(null_class,universal_class),
inference(cnf_transformation,[],[f46]) ).
fof(f46,plain,
~ member(null_class,universal_class),
inference(flattening,[],[f45]) ).
fof(f45,negated_conjecture,
~ member(null_class,universal_class),
inference(negated_conjecture,[],[f44]) ).
fof(f44,conjecture,
member(null_class,universal_class),
file('/export/starexec/sandbox/tmp/tmp.KVlODb7BA6/Vampire---4.8_15690',null_class_is_a_set) ).
fof(f139,plain,
! [X3,X0,X1] :
( member(X3,X1)
| ~ member(X3,X0)
| ~ subclass(X0,X1) ),
inference(cnf_transformation,[],[f91]) ).
fof(f91,plain,
! [X0,X1] :
( ( subclass(X0,X1)
| ( ~ member(sK2(X0,X1),X1)
& member(sK2(X0,X1),X0) ) )
& ( ! [X3] :
( member(X3,X1)
| ~ member(X3,X0) )
| ~ subclass(X0,X1) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK2])],[f89,f90]) ).
fof(f90,plain,
! [X0,X1] :
( ? [X2] :
( ~ member(X2,X1)
& member(X2,X0) )
=> ( ~ member(sK2(X0,X1),X1)
& member(sK2(X0,X1),X0) ) ),
introduced(choice_axiom,[]) ).
fof(f89,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,[],[f88]) ).
fof(f88,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,[],[f73]) ).
fof(f73,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.KVlODb7BA6/Vampire---4.8_15690',subclass_defn) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SET065+1 : TPTP v8.1.2. Bugfixed v5.4.0.
% 0.11/0.14 % 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
% 0.15/0.35 % Computer : n027.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 300
% 0.15/0.35 % DateTime : Tue Apr 30 17:46:32 EDT 2024
% 0.15/0.35 % CPUTime :
% 0.15/0.35 This is a FOF_THM_RFO_SEQ problem
% 0.15/0.35 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.KVlODb7BA6/Vampire---4.8_15690
% 0.56/0.74 % (15954)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)
% 0.56/0.74 % (15954)Refutation not found, incomplete strategy% (15954)------------------------------
% 0.56/0.74 % (15954)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.56/0.74 % (15954)Termination reason: Refutation not found, incomplete strategy
% 0.56/0.74
% 0.56/0.74 % (15954)Memory used [KB]: 965
% 0.56/0.74 % (15954)Time elapsed: 0.001 s
% 0.56/0.74 % (15954)Instructions burned: 2 (million)
% 0.56/0.74 % (15954)------------------------------
% 0.56/0.74 % (15954)------------------------------
% 0.56/0.74 % (15948)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)
% 0.56/0.74 % (15949)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)
% 0.56/0.74 % (15951)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)
% 0.56/0.74 % (15950)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.56/0.74 % (15952)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)
% 0.56/0.74 % (15953)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)
% 0.56/0.74 % (15951)Refutation not found, incomplete strategy% (15951)------------------------------
% 0.56/0.74 % (15951)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.56/0.74 % (15951)Termination reason: Refutation not found, incomplete strategy
% 0.56/0.74 % (15953)Refutation not found, incomplete strategy% (15953)------------------------------
% 0.56/0.74 % (15953)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.56/0.74 % (15953)Termination reason: Refutation not found, incomplete strategy
% 0.56/0.74
% 0.56/0.74 % (15953)Memory used [KB]: 964
% 0.56/0.74 % (15953)Time elapsed: 0.002 s
% 0.56/0.74 % (15953)Instructions burned: 2 (million)
% 0.56/0.74 % (15953)------------------------------
% 0.56/0.74 % (15953)------------------------------
% 0.56/0.74
% 0.56/0.74 % (15951)Memory used [KB]: 965
% 0.56/0.74 % (15951)Time elapsed: 0.002 s
% 0.56/0.74 % (15951)Instructions burned: 2 (million)
% 0.56/0.74 % (15951)------------------------------
% 0.56/0.74 % (15951)------------------------------
% 0.56/0.74 % (15955)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)
% 0.56/0.74 % (15955)Refutation not found, incomplete strategy% (15955)------------------------------
% 0.56/0.74 % (15955)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.56/0.74 % (15955)Termination reason: Refutation not found, incomplete strategy
% 0.56/0.74
% 0.56/0.74 % (15955)Memory used [KB]: 964
% 0.56/0.74 % (15955)Time elapsed: 0.001 s
% 0.56/0.74 % (15955)Instructions burned: 2 (million)
% 0.56/0.74 % (15955)------------------------------
% 0.56/0.74 % (15955)------------------------------
% 0.56/0.74 % (15948)Refutation not found, incomplete strategy% (15948)------------------------------
% 0.56/0.74 % (15948)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.56/0.74 % (15948)Termination reason: Refutation not found, incomplete strategy
% 0.56/0.74
% 0.56/0.74 % (15948)Memory used [KB]: 1071
% 0.56/0.74 % (15956)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)
% 0.56/0.74 % (15948)Time elapsed: 0.005 s
% 0.56/0.74 % (15948)Instructions burned: 5 (million)
% 0.56/0.74 % (15948)------------------------------
% 0.56/0.74 % (15948)------------------------------
% 0.56/0.74 % (15956)Refutation not found, incomplete strategy% (15956)------------------------------
% 0.56/0.74 % (15956)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.56/0.74 % (15956)Termination reason: Refutation not found, incomplete strategy
% 0.56/0.74
% 0.56/0.74 % (15956)Memory used [KB]: 964
% 0.56/0.74 % (15956)Time elapsed: 0.002 s
% 0.56/0.74 % (15956)Instructions burned: 2 (million)
% 0.56/0.74 % (15956)------------------------------
% 0.56/0.74 % (15956)------------------------------
% 0.56/0.75 % (15957)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)
% 0.56/0.75 % (15958)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)
% 0.56/0.75 % (15950)First to succeed.
% 0.56/0.75 % (15959)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)
% 0.56/0.75 % (15949)Also succeeded, but the first one will report.
% 0.56/0.75 % (15958)Refutation not found, incomplete strategy% (15958)------------------------------
% 0.56/0.75 % (15958)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.56/0.75 % (15958)Termination reason: Refutation not found, incomplete strategy
% 0.56/0.75
% 0.56/0.75 % (15958)Memory used [KB]: 1037
% 0.56/0.75 % (15958)Time elapsed: 0.003 s
% 0.56/0.75 % (15958)Instructions burned: 2 (million)
% 0.56/0.75 % (15958)------------------------------
% 0.56/0.75 % (15958)------------------------------
% 0.56/0.75 % (15950)Refutation found. Thanks to Tanya!
% 0.56/0.75 % SZS status Theorem for Vampire---4
% 0.56/0.75 % SZS output start Proof for Vampire---4
% See solution above
% 0.56/0.75 % (15950)------------------------------
% 0.56/0.75 % (15950)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.56/0.75 % (15950)Termination reason: Refutation
% 0.56/0.75
% 0.56/0.75 % (15950)Memory used [KB]: 1163
% 0.56/0.75 % (15950)Time elapsed: 0.008 s
% 0.56/0.75 % (15950)Instructions burned: 10 (million)
% 0.56/0.75 % (15950)------------------------------
% 0.56/0.75 % (15950)------------------------------
% 0.56/0.75 % (15944)Success in time 0.384 s
% 0.56/0.75 % Vampire---4.8 exiting
%------------------------------------------------------------------------------