TSTP Solution File: SET677+3 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SET677+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 : n032.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 03:48:35 EDT 2024
% Result : Theorem 0.47s 0.66s
% Output : Refutation 0.47s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 9
% Syntax : Number of formulae : 41 ( 10 unt; 0 def)
% Number of atoms : 148 ( 37 equ)
% Maximal formula atoms : 10 ( 3 avg)
% Number of connectives : 173 ( 66 ~; 57 |; 28 &)
% ( 4 <=>; 18 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 3 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 3 con; 0-3 aty)
% Number of variables : 62 ( 54 !; 8 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f140,plain,
$false,
inference(avatar_sat_refutation,[],[f89,f122,f139]) ).
fof(f139,plain,
spl3_1,
inference(avatar_contradiction_clause,[],[f138]) ).
fof(f138,plain,
( $false
| spl3_1 ),
inference(subsumption_resolution,[],[f129,f84]) ).
fof(f84,plain,
( sK0 != domain(sK0,sK0,sK1)
| spl3_1 ),
inference(avatar_component_clause,[],[f82]) ).
fof(f82,plain,
( spl3_1
<=> sK0 = domain(sK0,sK0,sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_1])]) ).
fof(f129,plain,
sK0 = domain(sK0,sK0,sK1),
inference(unit_resulting_resolution,[],[f110,f60,f98]) ).
fof(f98,plain,
! [X2,X0,X1] :
( domain(X1,X0,X2) = X1
| ~ subset(identity_relation_of(X1),X2)
| ~ ilf_type(X2,relation_type(X1,X0)) ),
inference(subsumption_resolution,[],[f97,f65]) ).
fof(f65,plain,
! [X0] : ilf_type(X0,set_type),
inference(cnf_transformation,[],[f34]) ).
fof(f34,axiom,
! [X0] : ilf_type(X0,set_type),
file('/export/starexec/sandbox2/tmp/tmp.9t89DYA21v/Vampire---4.8_14331',p34) ).
fof(f97,plain,
! [X2,X0,X1] :
( domain(X1,X0,X2) = X1
| ~ subset(identity_relation_of(X1),X2)
| ~ ilf_type(X2,relation_type(X1,X0))
| ~ ilf_type(X0,set_type) ),
inference(subsumption_resolution,[],[f70,f65]) ).
fof(f70,plain,
! [X2,X0,X1] :
( domain(X1,X0,X2) = X1
| ~ subset(identity_relation_of(X1),X2)
| ~ ilf_type(X2,relation_type(X1,X0))
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X0,set_type) ),
inference(cnf_transformation,[],[f45]) ).
fof(f45,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( subset(X1,range(X1,X0,X2))
& domain(X1,X0,X2) = X1 )
| ~ subset(identity_relation_of(X1),X2)
| ~ ilf_type(X2,relation_type(X1,X0)) )
| ~ ilf_type(X1,set_type) )
| ~ ilf_type(X0,set_type) ),
inference(flattening,[],[f44]) ).
fof(f44,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( subset(X1,range(X1,X0,X2))
& domain(X1,X0,X2) = X1 )
| ~ subset(identity_relation_of(X1),X2)
| ~ ilf_type(X2,relation_type(X1,X0)) )
| ~ ilf_type(X1,set_type) )
| ~ ilf_type(X0,set_type) ),
inference(ennf_transformation,[],[f1]) ).
fof(f1,axiom,
! [X0] :
( ilf_type(X0,set_type)
=> ! [X1] :
( ilf_type(X1,set_type)
=> ! [X2] :
( ilf_type(X2,relation_type(X1,X0))
=> ( subset(identity_relation_of(X1),X2)
=> ( subset(X1,range(X1,X0,X2))
& domain(X1,X0,X2) = X1 ) ) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.9t89DYA21v/Vampire---4.8_14331',p1) ).
fof(f60,plain,
subset(identity_relation_of(sK0),sK1),
inference(cnf_transformation,[],[f52]) ).
fof(f52,plain,
( ( sK0 != range(sK0,sK0,sK1)
| sK0 != domain(sK0,sK0,sK1) )
& subset(identity_relation_of(sK0),sK1)
& ilf_type(sK1,identity_relation_of_type(sK0))
& ilf_type(sK0,set_type) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f38,f51,f50]) ).
fof(f50,plain,
( ? [X0] :
( ? [X1] :
( ( range(X0,X0,X1) != X0
| domain(X0,X0,X1) != X0 )
& subset(identity_relation_of(X0),X1)
& ilf_type(X1,identity_relation_of_type(X0)) )
& ilf_type(X0,set_type) )
=> ( ? [X1] :
( ( sK0 != range(sK0,sK0,X1)
| sK0 != domain(sK0,sK0,X1) )
& subset(identity_relation_of(sK0),X1)
& ilf_type(X1,identity_relation_of_type(sK0)) )
& ilf_type(sK0,set_type) ) ),
introduced(choice_axiom,[]) ).
fof(f51,plain,
( ? [X1] :
( ( sK0 != range(sK0,sK0,X1)
| sK0 != domain(sK0,sK0,X1) )
& subset(identity_relation_of(sK0),X1)
& ilf_type(X1,identity_relation_of_type(sK0)) )
=> ( ( sK0 != range(sK0,sK0,sK1)
| sK0 != domain(sK0,sK0,sK1) )
& subset(identity_relation_of(sK0),sK1)
& ilf_type(sK1,identity_relation_of_type(sK0)) ) ),
introduced(choice_axiom,[]) ).
fof(f38,plain,
? [X0] :
( ? [X1] :
( ( range(X0,X0,X1) != X0
| domain(X0,X0,X1) != X0 )
& subset(identity_relation_of(X0),X1)
& ilf_type(X1,identity_relation_of_type(X0)) )
& ilf_type(X0,set_type) ),
inference(flattening,[],[f37]) ).
fof(f37,plain,
? [X0] :
( ? [X1] :
( ( range(X0,X0,X1) != X0
| domain(X0,X0,X1) != X0 )
& subset(identity_relation_of(X0),X1)
& ilf_type(X1,identity_relation_of_type(X0)) )
& ilf_type(X0,set_type) ),
inference(ennf_transformation,[],[f36]) ).
fof(f36,negated_conjecture,
~ ! [X0] :
( ilf_type(X0,set_type)
=> ! [X1] :
( ilf_type(X1,identity_relation_of_type(X0))
=> ( subset(identity_relation_of(X0),X1)
=> ( range(X0,X0,X1) = X0
& domain(X0,X0,X1) = X0 ) ) ) ),
inference(negated_conjecture,[],[f35]) ).
fof(f35,conjecture,
! [X0] :
( ilf_type(X0,set_type)
=> ! [X1] :
( ilf_type(X1,identity_relation_of_type(X0))
=> ( subset(identity_relation_of(X0),X1)
=> ( range(X0,X0,X1) = X0
& domain(X0,X0,X1) = X0 ) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.9t89DYA21v/Vampire---4.8_14331',prove_relset_1_44) ).
fof(f110,plain,
ilf_type(sK1,relation_type(sK0,sK0)),
inference(unit_resulting_resolution,[],[f59,f107]) ).
fof(f107,plain,
! [X0,X1] :
( ilf_type(X1,relation_type(X0,X0))
| ~ ilf_type(X1,identity_relation_of_type(X0)) ),
inference(subsumption_resolution,[],[f106,f65]) ).
fof(f106,plain,
! [X0,X1] :
( ilf_type(X1,relation_type(X0,X0))
| ~ ilf_type(X1,identity_relation_of_type(X0))
| ~ ilf_type(X0,set_type) ),
inference(subsumption_resolution,[],[f75,f65]) ).
fof(f75,plain,
! [X0,X1] :
( ilf_type(X1,relation_type(X0,X0))
| ~ ilf_type(X1,identity_relation_of_type(X0))
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X0,set_type) ),
inference(cnf_transformation,[],[f57]) ).
fof(f57,plain,
! [X0] :
( ! [X1] :
( ( ( ilf_type(X1,identity_relation_of_type(X0))
| ~ ilf_type(X1,relation_type(X0,X0)) )
& ( ilf_type(X1,relation_type(X0,X0))
| ~ ilf_type(X1,identity_relation_of_type(X0)) ) )
| ~ ilf_type(X1,set_type) )
| ~ ilf_type(X0,set_type) ),
inference(nnf_transformation,[],[f49]) ).
fof(f49,plain,
! [X0] :
( ! [X1] :
( ( ilf_type(X1,identity_relation_of_type(X0))
<=> ilf_type(X1,relation_type(X0,X0)) )
| ~ ilf_type(X1,set_type) )
| ~ ilf_type(X0,set_type) ),
inference(ennf_transformation,[],[f5]) ).
fof(f5,axiom,
! [X0] :
( ilf_type(X0,set_type)
=> ! [X1] :
( ilf_type(X1,set_type)
=> ( ilf_type(X1,identity_relation_of_type(X0))
<=> ilf_type(X1,relation_type(X0,X0)) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.9t89DYA21v/Vampire---4.8_14331',p5) ).
fof(f59,plain,
ilf_type(sK1,identity_relation_of_type(sK0)),
inference(cnf_transformation,[],[f52]) ).
fof(f122,plain,
spl3_2,
inference(avatar_split_clause,[],[f121,f86]) ).
fof(f86,plain,
( spl3_2
<=> sK0 = range(sK0,sK0,sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_2])]) ).
fof(f121,plain,
sK0 = range(sK0,sK0,sK1),
inference(unit_resulting_resolution,[],[f110,f60,f92]) ).
fof(f92,plain,
! [X2,X0,X1] :
( range(X0,X1,X2) = X1
| ~ subset(identity_relation_of(X1),X2)
| ~ ilf_type(X2,relation_type(X0,X1)) ),
inference(subsumption_resolution,[],[f91,f65]) ).
fof(f91,plain,
! [X2,X0,X1] :
( range(X0,X1,X2) = X1
| ~ subset(identity_relation_of(X1),X2)
| ~ ilf_type(X2,relation_type(X0,X1))
| ~ ilf_type(X0,set_type) ),
inference(subsumption_resolution,[],[f69,f65]) ).
fof(f69,plain,
! [X2,X0,X1] :
( range(X0,X1,X2) = X1
| ~ subset(identity_relation_of(X1),X2)
| ~ ilf_type(X2,relation_type(X0,X1))
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X0,set_type) ),
inference(cnf_transformation,[],[f43]) ).
fof(f43,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( range(X0,X1,X2) = X1
& subset(X1,domain(X0,X1,X2)) )
| ~ subset(identity_relation_of(X1),X2)
| ~ ilf_type(X2,relation_type(X0,X1)) )
| ~ ilf_type(X1,set_type) )
| ~ ilf_type(X0,set_type) ),
inference(flattening,[],[f42]) ).
fof(f42,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( range(X0,X1,X2) = X1
& subset(X1,domain(X0,X1,X2)) )
| ~ subset(identity_relation_of(X1),X2)
| ~ ilf_type(X2,relation_type(X0,X1)) )
| ~ ilf_type(X1,set_type) )
| ~ ilf_type(X0,set_type) ),
inference(ennf_transformation,[],[f2]) ).
fof(f2,axiom,
! [X0] :
( ilf_type(X0,set_type)
=> ! [X1] :
( ilf_type(X1,set_type)
=> ! [X2] :
( ilf_type(X2,relation_type(X0,X1))
=> ( subset(identity_relation_of(X1),X2)
=> ( range(X0,X1,X2) = X1
& subset(X1,domain(X0,X1,X2)) ) ) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.9t89DYA21v/Vampire---4.8_14331',p2) ).
fof(f89,plain,
( ~ spl3_1
| ~ spl3_2 ),
inference(avatar_split_clause,[],[f61,f86,f82]) ).
fof(f61,plain,
( sK0 != range(sK0,sK0,sK1)
| sK0 != domain(sK0,sK0,sK1) ),
inference(cnf_transformation,[],[f52]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11 % Problem : SET677+3 : TPTP v8.1.2. Released v2.2.0.
% 0.10/0.12 % 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
% 0.11/0.31 % Computer : n032.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 17:19:51 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.9t89DYA21v/Vampire---4.8_14331
% 0.47/0.66 % (14442)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)
% 0.47/0.66 % (14439)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)
% 0.47/0.66 % (14440)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)
% 0.47/0.66 % (14441)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.47/0.66 % (14446)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)
% 0.47/0.66 % (14442)First to succeed.
% 0.47/0.66 % (14443)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)
% 0.47/0.66 % (14446)Refutation not found, incomplete strategy% (14446)------------------------------
% 0.47/0.66 % (14446)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.47/0.66 % (14446)Termination reason: Refutation not found, incomplete strategy
% 0.47/0.66
% 0.47/0.66 % (14446)Memory used [KB]: 1044
% 0.47/0.66 % (14446)Time elapsed: 0.004 s
% 0.47/0.66 % (14446)Instructions burned: 3 (million)
% 0.47/0.66 % (14446)------------------------------
% 0.47/0.66 % (14446)------------------------------
% 0.47/0.66 % (14442)Refutation found. Thanks to Tanya!
% 0.47/0.66 % SZS status Theorem for Vampire---4
% 0.47/0.66 % SZS output start Proof for Vampire---4
% See solution above
% 0.47/0.67 % (14442)------------------------------
% 0.47/0.67 % (14442)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.47/0.67 % (14442)Termination reason: Refutation
% 0.47/0.67
% 0.47/0.67 % (14442)Memory used [KB]: 1070
% 0.47/0.67 % (14442)Time elapsed: 0.005 s
% 0.47/0.67 % (14442)Instructions burned: 6 (million)
% 0.47/0.67 % (14442)------------------------------
% 0.47/0.67 % (14442)------------------------------
% 0.47/0.67 % (14438)Success in time 0.347 s
% 0.47/0.67 terminate called after throwing an instance of 'Lib::SystemFailException'
% 0.47/0.67 14438 Aborted by signal SIGABRT on /export/starexec/sandbox2/tmp/tmp.9t89DYA21v/Vampire---4.8_14331
% 0.47/0.67 % (14438)------------------------------
% 0.47/0.67 % (14438)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.47/0.67 % (14438)Termination reason: Unknown
% 0.47/0.67 % (14438)Termination phase: Unknown
% 0.47/0.67
% 0.47/0.67 % (14438)Memory used [KB]: 462
% 0.47/0.67 % (14438)Time elapsed: 0.347 s
% 0.47/0.67 % (14438)Instructions burned: 955 (million)
% 0.47/0.67 % (14438)------------------------------
% 0.47/0.67 % (14438)------------------------------
% 0.47/0.67 Version : Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.47/0.67 ???
% 0.47/0.67 ???
% 0.47/0.67 ???
% 0.47/0.67 ???
% 0.47/0.67 ???
% 0.47/0.67 ???
% 0.47/0.67 ???
% 0.47/0.67 ???
% 0.47/0.67 ???
% 0.47/0.67 ???
% 0.47/0.67 ???
% 0.47/0.67 ???
% 0.47/0.67 ???
% 0.47/0.67 ???
% 0.47/0.67 ???
% 0.47/0.67 ???
% 0.47/0.67 ???
% 0.47/0.67 ???
% 0.47/0.67 ???
% 0.47/0.67 ???
% 0.47/0.67 % Exception at proof search level
% 0.47/0.67 System fail: Cannot decrease semaphore. error 43: Identifier removed
% 0.47/0.67 % Vampire---4.8 exiting
%------------------------------------------------------------------------------