TSTP Solution File: SET603+3 by Vampire---4.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SET603+3 : TPTP v8.1.2. Released v2.2.0.
% 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 : n005.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 09:07:30 EDT 2024
% Result : Theorem 0.51s 0.69s
% Output : Refutation 0.51s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 7
% Syntax : Number of formulae : 31 ( 12 unt; 0 def)
% Number of atoms : 78 ( 14 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 82 ( 35 ~; 31 |; 9 &)
% ( 3 <=>; 3 =>; 0 <=; 1 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 2 con; 0-2 aty)
% Number of variables : 45 ( 40 !; 5 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f54,plain,
$false,
inference(subsumption_resolution,[],[f53,f48]) ).
fof(f48,plain,
member(sK2(sK0,difference(sK0,empty_set)),sK0),
inference(subsumption_resolution,[],[f44,f31]) ).
fof(f31,plain,
! [X2,X0,X1] :
( ~ member(X2,difference(X0,X1))
| member(X2,X0) ),
inference(cnf_transformation,[],[f23]) ).
fof(f23,plain,
! [X0,X1,X2] :
( ( member(X2,difference(X0,X1))
| member(X2,X1)
| ~ member(X2,X0) )
& ( ( ~ member(X2,X1)
& member(X2,X0) )
| ~ member(X2,difference(X0,X1)) ) ),
inference(flattening,[],[f22]) ).
fof(f22,plain,
! [X0,X1,X2] :
( ( member(X2,difference(X0,X1))
| member(X2,X1)
| ~ member(X2,X0) )
& ( ( ~ member(X2,X1)
& member(X2,X0) )
| ~ member(X2,difference(X0,X1)) ) ),
inference(nnf_transformation,[],[f2]) ).
fof(f2,axiom,
! [X0,X1,X2] :
( member(X2,difference(X0,X1))
<=> ( ~ member(X2,X1)
& member(X2,X0) ) ),
file('/export/starexec/sandbox2/tmp/tmp.PIl5kMRzqv/Vampire---4.8_27147',difference_defn) ).
fof(f44,plain,
( member(sK2(sK0,difference(sK0,empty_set)),difference(sK0,empty_set))
| member(sK2(sK0,difference(sK0,empty_set)),sK0) ),
inference(resolution,[],[f38,f42]) ).
fof(f42,plain,
! [X0,X1] :
( sQ3_eqProxy(X0,X1)
| member(sK2(X0,X1),X1)
| member(sK2(X0,X1),X0) ),
inference(equality_proxy_replacement,[],[f29,f37]) ).
fof(f37,plain,
! [X0,X1] :
( sQ3_eqProxy(X0,X1)
<=> X0 = X1 ),
introduced(equality_proxy_definition,[new_symbols(naming,[sQ3_eqProxy])]) ).
fof(f29,plain,
! [X0,X1] :
( X0 = X1
| member(sK2(X0,X1),X1)
| member(sK2(X0,X1),X0) ),
inference(cnf_transformation,[],[f21]) ).
fof(f21,plain,
! [X0,X1] :
( X0 = X1
| ( ( ~ member(sK2(X0,X1),X1)
| ~ member(sK2(X0,X1),X0) )
& ( member(sK2(X0,X1),X1)
| member(sK2(X0,X1),X0) ) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK2])],[f19,f20]) ).
fof(f20,plain,
! [X0,X1] :
( ? [X2] :
( ( ~ member(X2,X1)
| ~ member(X2,X0) )
& ( member(X2,X1)
| member(X2,X0) ) )
=> ( ( ~ member(sK2(X0,X1),X1)
| ~ member(sK2(X0,X1),X0) )
& ( member(sK2(X0,X1),X1)
| member(sK2(X0,X1),X0) ) ) ),
introduced(choice_axiom,[]) ).
fof(f19,plain,
! [X0,X1] :
( X0 = X1
| ? [X2] :
( ( ~ member(X2,X1)
| ~ member(X2,X0) )
& ( member(X2,X1)
| member(X2,X0) ) ) ),
inference(nnf_transformation,[],[f12]) ).
fof(f12,plain,
! [X0,X1] :
( X0 = X1
| ? [X2] :
( member(X2,X0)
<~> member(X2,X1) ) ),
inference(ennf_transformation,[],[f1]) ).
fof(f1,axiom,
! [X0,X1] :
( ! [X2] :
( member(X2,X0)
<=> member(X2,X1) )
=> X0 = X1 ),
file('/export/starexec/sandbox2/tmp/tmp.PIl5kMRzqv/Vampire---4.8_27147',member_equal) ).
fof(f38,plain,
~ sQ3_eqProxy(sK0,difference(sK0,empty_set)),
inference(equality_proxy_replacement,[],[f24,f37]) ).
fof(f24,plain,
sK0 != difference(sK0,empty_set),
inference(cnf_transformation,[],[f14]) ).
fof(f14,plain,
sK0 != difference(sK0,empty_set),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f11,f13]) ).
fof(f13,plain,
( ? [X0] : difference(X0,empty_set) != X0
=> sK0 != difference(sK0,empty_set) ),
introduced(choice_axiom,[]) ).
fof(f11,plain,
? [X0] : difference(X0,empty_set) != X0,
inference(ennf_transformation,[],[f10]) ).
fof(f10,negated_conjecture,
~ ! [X0] : difference(X0,empty_set) = X0,
inference(negated_conjecture,[],[f9]) ).
fof(f9,conjecture,
! [X0] : difference(X0,empty_set) = X0,
file('/export/starexec/sandbox2/tmp/tmp.PIl5kMRzqv/Vampire---4.8_27147',prove_th74) ).
fof(f53,plain,
~ member(sK2(sK0,difference(sK0,empty_set)),sK0),
inference(subsumption_resolution,[],[f52,f34]) ).
fof(f34,plain,
! [X0] : ~ member(X0,empty_set),
inference(cnf_transformation,[],[f3]) ).
fof(f3,axiom,
! [X0] : ~ member(X0,empty_set),
file('/export/starexec/sandbox2/tmp/tmp.PIl5kMRzqv/Vampire---4.8_27147',empty_set_defn) ).
fof(f52,plain,
( member(sK2(sK0,difference(sK0,empty_set)),empty_set)
| ~ member(sK2(sK0,difference(sK0,empty_set)),sK0) ),
inference(resolution,[],[f49,f33]) ).
fof(f33,plain,
! [X2,X0,X1] :
( member(X2,difference(X0,X1))
| member(X2,X1)
| ~ member(X2,X0) ),
inference(cnf_transformation,[],[f23]) ).
fof(f49,plain,
~ member(sK2(sK0,difference(sK0,empty_set)),difference(sK0,empty_set)),
inference(subsumption_resolution,[],[f45,f48]) ).
fof(f45,plain,
( ~ member(sK2(sK0,difference(sK0,empty_set)),difference(sK0,empty_set))
| ~ member(sK2(sK0,difference(sK0,empty_set)),sK0) ),
inference(resolution,[],[f38,f41]) ).
fof(f41,plain,
! [X0,X1] :
( sQ3_eqProxy(X0,X1)
| ~ member(sK2(X0,X1),X1)
| ~ member(sK2(X0,X1),X0) ),
inference(equality_proxy_replacement,[],[f30,f37]) ).
fof(f30,plain,
! [X0,X1] :
( X0 = X1
| ~ member(sK2(X0,X1),X1)
| ~ member(sK2(X0,X1),X0) ),
inference(cnf_transformation,[],[f21]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.13 % Problem : SET603+3 : TPTP v8.1.2. Released v2.2.0.
% 0.06/0.15 % 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
% 0.14/0.35 % Computer : n005.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 16:43:08 EDT 2024
% 0.14/0.36 % CPUTime :
% 0.14/0.36 This is a FOF_THM_RFO_SEQ problem
% 0.14/0.36 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.PIl5kMRzqv/Vampire---4.8_27147
% 0.48/0.68 % (27255)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)
% 0.48/0.68 % (27260)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)
% 0.48/0.68 % (27257)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.48/0.68 % (27258)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)
% 0.48/0.68 % (27261)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)
% 0.48/0.68 % (27259)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)
% 0.48/0.68 % (27262)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)
% 0.48/0.68 % (27256)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)
% 0.48/0.68 % (27260)Refutation not found, incomplete strategy% (27260)------------------------------
% 0.48/0.68 % (27260)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.48/0.68 % (27260)Termination reason: Refutation not found, incomplete strategy
% 0.48/0.68
% 0.48/0.68 % (27260)Memory used [KB]: 952
% 0.48/0.68 % (27260)Time elapsed: 0.002 s
% 0.48/0.68 % (27260)Instructions burned: 2 (million)
% 0.48/0.68 % (27262)First to succeed.
% 0.51/0.68 % (27260)------------------------------
% 0.51/0.68 % (27260)------------------------------
% 0.51/0.68 % (27261)Refutation not found, incomplete strategy% (27261)------------------------------
% 0.51/0.68 % (27261)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.51/0.68 % (27261)Termination reason: Refutation not found, incomplete strategy
% 0.51/0.68
% 0.51/0.68 % (27261)Memory used [KB]: 954
% 0.51/0.69 % (27261)Time elapsed: 0.003 s
% 0.51/0.69 % (27261)Instructions burned: 3 (million)
% 0.51/0.69 % (27261)------------------------------
% 0.51/0.69 % (27261)------------------------------
% 0.51/0.69 % (27258)Refutation not found, incomplete strategy% (27258)------------------------------
% 0.51/0.69 % (27258)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.51/0.69 % (27258)Termination reason: Refutation not found, incomplete strategy
% 0.51/0.69
% 0.51/0.69 % (27258)Memory used [KB]: 981
% 0.51/0.69 % (27258)Time elapsed: 0.003 s
% 0.51/0.69 % (27258)Instructions burned: 3 (million)
% 0.51/0.69 % (27259)Also succeeded, but the first one will report.
% 0.51/0.69 % (27255)Also succeeded, but the first one will report.
% 0.51/0.69 % (27262)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-27254"
% 0.51/0.69 % (27258)------------------------------
% 0.51/0.69 % (27258)------------------------------
% 0.51/0.69 % (27262)Refutation found. Thanks to Tanya!
% 0.51/0.69 % SZS status Theorem for Vampire---4
% 0.51/0.69 % SZS output start Proof for Vampire---4
% See solution above
% 0.51/0.69 % (27262)------------------------------
% 0.51/0.69 % (27262)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.51/0.69 % (27262)Termination reason: Refutation
% 0.51/0.69
% 0.51/0.69 % (27262)Memory used [KB]: 976
% 0.51/0.69 % (27262)Time elapsed: 0.003 s
% 0.51/0.69 % (27262)Instructions burned: 3 (million)
% 0.51/0.69 % (27254)Success in time 0.324 s
% 0.51/0.69 % Vampire---4.8 exiting
%------------------------------------------------------------------------------