TSTP Solution File: SET125-6 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SET125-6 : TPTP v8.1.2. Bugfixed v2.1.0.
% 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 : n023.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 03:45:18 EDT 2024
% Result : Unsatisfiable 0.55s 0.75s
% Output : Refutation 0.55s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 11
% Syntax : Number of formulae : 26 ( 10 unt; 0 def)
% Number of atoms : 45 ( 3 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 39 ( 20 ~; 17 |; 0 &)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 6 ( 4 usr; 3 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 4 con; 0-2 aty)
% Number of variables : 19 ( 19 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f127,plain,
$false,
inference(avatar_sat_refutation,[],[f113,f121,f126]) ).
fof(f126,plain,
~ spl0_2,
inference(avatar_contradiction_clause,[],[f125]) ).
fof(f125,plain,
( $false
| ~ spl0_2 ),
inference(subsumption_resolution,[],[f124,f93]) ).
fof(f93,axiom,
member(x,z),
file('/export/starexec/sandbox2/tmp/tmp.JtSqGn0avP/Vampire---4.8_2287',prove_set_builder_alternate_defn3_1) ).
fof(f124,plain,
( ~ member(x,z)
| ~ spl0_2 ),
inference(resolution,[],[f123,f24]) ).
fof(f24,axiom,
! [X0,X4] :
( ~ member(X4,complement(X0))
| ~ member(X4,X0) ),
file('/export/starexec/sandbox2/tmp/tmp.JtSqGn0avP/Vampire---4.8_2287',complement1) ).
fof(f123,plain,
( member(x,complement(z))
| ~ spl0_2 ),
inference(resolution,[],[f112,f22]) ).
fof(f22,axiom,
! [X0,X1,X4] :
( ~ member(X4,intersection(X0,X1))
| member(X4,X1) ),
file('/export/starexec/sandbox2/tmp/tmp.JtSqGn0avP/Vampire---4.8_2287',intersection2) ).
fof(f112,plain,
( member(x,intersection(complement(singleton(y)),complement(z)))
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f110]) ).
fof(f110,plain,
( spl0_2
<=> member(x,intersection(complement(singleton(y)),complement(z))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).
fof(f121,plain,
spl0_1,
inference(avatar_contradiction_clause,[],[f116]) ).
fof(f116,plain,
( $false
| spl0_1 ),
inference(resolution,[],[f115,f93]) ).
fof(f115,plain,
( ! [X0] : ~ member(x,X0)
| spl0_1 ),
inference(subsumption_resolution,[],[f114,f4]) ).
fof(f4,axiom,
! [X0] : subclass(X0,universal_class),
file('/export/starexec/sandbox2/tmp/tmp.JtSqGn0avP/Vampire---4.8_2287',class_elements_are_sets) ).
fof(f114,plain,
( ! [X0] :
( ~ member(x,X0)
| ~ subclass(X0,universal_class) )
| spl0_1 ),
inference(resolution,[],[f108,f1]) ).
fof(f1,axiom,
! [X2,X0,X1] :
( member(X2,X1)
| ~ member(X2,X0)
| ~ subclass(X0,X1) ),
file('/export/starexec/sandbox2/tmp/tmp.JtSqGn0avP/Vampire---4.8_2287',subclass_members) ).
fof(f108,plain,
( ~ member(x,universal_class)
| spl0_1 ),
inference(avatar_component_clause,[],[f106]) ).
fof(f106,plain,
( spl0_1
<=> member(x,universal_class) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).
fof(f113,plain,
( ~ spl0_1
| spl0_2 ),
inference(avatar_split_clause,[],[f103,f110,f106]) ).
fof(f103,plain,
( member(x,intersection(complement(singleton(y)),complement(z)))
| ~ member(x,universal_class) ),
inference(resolution,[],[f97,f25]) ).
fof(f25,axiom,
! [X0,X4] :
( member(X4,complement(X0))
| member(X4,X0)
| ~ member(X4,universal_class) ),
file('/export/starexec/sandbox2/tmp/tmp.JtSqGn0avP/Vampire---4.8_2287',complement2) ).
fof(f97,plain,
~ member(x,complement(intersection(complement(singleton(y)),complement(z)))),
inference(definition_unfolding,[],[f94,f96]) ).
fof(f96,plain,
! [X0,X1] : set_builder(X0,X1) = complement(intersection(complement(singleton(X0)),complement(X1))),
inference(definition_unfolding,[],[f92,f26]) ).
fof(f26,axiom,
! [X0,X1] : complement(intersection(complement(X0),complement(X1))) = union(X0,X1),
file('/export/starexec/sandbox2/tmp/tmp.JtSqGn0avP/Vampire---4.8_2287',union) ).
fof(f92,axiom,
! [X0,X1] : union(singleton(X0),X1) = set_builder(X0,X1),
file('/export/starexec/sandbox2/tmp/tmp.JtSqGn0avP/Vampire---4.8_2287',definition_of_set_builder) ).
fof(f94,axiom,
~ member(x,set_builder(y,z)),
file('/export/starexec/sandbox2/tmp/tmp.JtSqGn0avP/Vampire---4.8_2287',prove_set_builder_alternate_defn3_2) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SET125-6 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.11/0.14 % 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
% 0.13/0.34 % Computer : n023.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Tue Apr 30 17:34:40 EDT 2024
% 0.13/0.34 % CPUTime :
% 0.13/0.34 This is a CNF_UNS_RFO_SEQ_NHN problem
% 0.13/0.35 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.JtSqGn0avP/Vampire---4.8_2287
% 0.55/0.75 % (2494)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)
% 0.55/0.75 % (2496)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)
% 0.55/0.75 % (2496)Refutation not found, incomplete strategy% (2496)------------------------------
% 0.55/0.75 % (2496)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.55/0.75 % (2496)Termination reason: Refutation not found, incomplete strategy
% 0.55/0.75
% 0.55/0.75 % (2496)Memory used [KB]: 1053
% 0.55/0.75 % (2496)Time elapsed: 0.001 s
% 0.55/0.75 % (2496)Instructions burned: 2 (million)
% 0.55/0.75 % (2496)------------------------------
% 0.55/0.75 % (2496)------------------------------
% 0.55/0.75 % (2489)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)
% 0.55/0.75 % (2491)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.55/0.75 % (2490)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)
% 0.55/0.75 % (2492)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)
% 0.55/0.75 % (2493)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)
% 0.55/0.75 % (2494)First to succeed.
% 0.55/0.75 % (2495)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)
% 0.55/0.75 % (2492)Refutation not found, incomplete strategy% (2492)------------------------------
% 0.55/0.75 % (2492)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.55/0.75 % (2494)Refutation found. Thanks to Tanya!
% 0.55/0.75 % SZS status Unsatisfiable for Vampire---4
% 0.55/0.75 % SZS output start Proof for Vampire---4
% See solution above
% 0.55/0.75 % (2494)------------------------------
% 0.55/0.75 % (2494)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.55/0.75 % (2494)Termination reason: Refutation
% 0.55/0.75
% 0.55/0.75 % (2494)Memory used [KB]: 1090
% 0.55/0.75 % (2494)Time elapsed: 0.003 s
% 0.55/0.75 % (2494)Instructions burned: 4 (million)
% 0.55/0.75 % (2494)------------------------------
% 0.55/0.75 % (2494)------------------------------
% 0.55/0.75 % (2457)Success in time 0.388 s
% 0.55/0.75 % Vampire---4.8 exiting
%------------------------------------------------------------------------------