TSTP Solution File: SET013-1 by Vampire---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SET013-1 : TPTP v8.2.0. 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/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% Computer : n020.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 : Tue May 21 03:07:39 EDT 2024
% Result : Unsatisfiable 0.57s 0.74s
% Output : Refutation 0.57s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 14
% Syntax : Number of formulae : 46 ( 3 unt; 0 def)
% Number of atoms : 99 ( 0 equ)
% Maximal formula atoms : 3 ( 2 avg)
% Number of connectives : 87 ( 34 ~; 47 |; 0 &)
% ( 6 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 10 ( 9 usr; 7 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 2 con; 0-2 aty)
% Number of variables : 21 ( 21 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f157,plain,
$false,
inference(avatar_sat_refutation,[],[f36,f66,f83,f105,f121,f135,f156]) ).
fof(f156,plain,
( spl0_2
| spl0_6 ),
inference(avatar_contradiction_clause,[],[f155]) ).
fof(f155,plain,
( $false
| spl0_2
| spl0_6 ),
inference(subsumption_resolution,[],[f150,f34]) ).
fof(f34,plain,
( ~ subset(intersection(as,bs),intersection(bs,as))
| spl0_2 ),
inference(avatar_component_clause,[],[f32]) ).
fof(f32,plain,
( spl0_2
<=> subset(intersection(as,bs),intersection(bs,as)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).
fof(f150,plain,
( subset(intersection(as,bs),intersection(bs,as))
| spl0_6 ),
inference(resolution,[],[f138,f3]) ).
fof(f3,axiom,
! [X2,X3] :
( member(member_of_1_not_of_2(X2,X3),X2)
| subset(X2,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',subsets_axiom1) ).
fof(f138,plain,
( ! [X0] : ~ member(member_of_1_not_of_2(intersection(as,bs),intersection(bs,as)),intersection(as,X0))
| spl0_6 ),
inference(resolution,[],[f120,f11]) ).
fof(f11,axiom,
! [X0,X4,X5] :
( member(X0,X4)
| ~ member(X0,intersection(X4,X5)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',member_of_intersection_is_member_of_set1) ).
fof(f120,plain,
( ~ member(member_of_1_not_of_2(intersection(as,bs),intersection(bs,as)),as)
| spl0_6 ),
inference(avatar_component_clause,[],[f118]) ).
fof(f118,plain,
( spl0_6
<=> member(member_of_1_not_of_2(intersection(as,bs),intersection(bs,as)),as) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).
fof(f135,plain,
( spl0_2
| spl0_5 ),
inference(avatar_contradiction_clause,[],[f134]) ).
fof(f134,plain,
( $false
| spl0_2
| spl0_5 ),
inference(subsumption_resolution,[],[f129,f34]) ).
fof(f129,plain,
( subset(intersection(as,bs),intersection(bs,as))
| spl0_5 ),
inference(resolution,[],[f123,f3]) ).
fof(f123,plain,
( ! [X0] : ~ member(member_of_1_not_of_2(intersection(as,bs),intersection(bs,as)),intersection(X0,bs))
| spl0_5 ),
inference(resolution,[],[f116,f12]) ).
fof(f12,axiom,
! [X0,X4,X5] :
( member(X0,X5)
| ~ member(X0,intersection(X4,X5)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',member_of_intersection_is_member_of_set2) ).
fof(f116,plain,
( ~ member(member_of_1_not_of_2(intersection(as,bs),intersection(bs,as)),bs)
| spl0_5 ),
inference(avatar_component_clause,[],[f114]) ).
fof(f114,plain,
( spl0_5
<=> member(member_of_1_not_of_2(intersection(as,bs),intersection(bs,as)),bs) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).
fof(f121,plain,
( ~ spl0_5
| ~ spl0_6
| spl0_2 ),
inference(avatar_split_clause,[],[f109,f32,f118,f114]) ).
fof(f109,plain,
( ~ member(member_of_1_not_of_2(intersection(as,bs),intersection(bs,as)),as)
| ~ member(member_of_1_not_of_2(intersection(as,bs),intersection(bs,as)),bs)
| spl0_2 ),
inference(resolution,[],[f106,f10]) ).
fof(f10,axiom,
! [X0,X4,X5] :
( member(X0,intersection(X4,X5))
| ~ member(X0,X5)
| ~ member(X0,X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',member_of_both_is_member_of_intersection) ).
fof(f106,plain,
( ~ member(member_of_1_not_of_2(intersection(as,bs),intersection(bs,as)),intersection(bs,as))
| spl0_2 ),
inference(resolution,[],[f34,f4]) ).
fof(f4,axiom,
! [X2,X3] :
( subset(X2,X3)
| ~ member(member_of_1_not_of_2(X2,X3),X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',subsets_axiom2) ).
fof(f105,plain,
( spl0_1
| spl0_4 ),
inference(avatar_contradiction_clause,[],[f104]) ).
fof(f104,plain,
( $false
| spl0_1
| spl0_4 ),
inference(subsumption_resolution,[],[f99,f30]) ).
fof(f30,plain,
( ~ subset(intersection(bs,as),intersection(as,bs))
| spl0_1 ),
inference(avatar_component_clause,[],[f28]) ).
fof(f28,plain,
( spl0_1
<=> subset(intersection(bs,as),intersection(as,bs)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).
fof(f99,plain,
( subset(intersection(bs,as),intersection(as,bs))
| spl0_4 ),
inference(resolution,[],[f86,f3]) ).
fof(f86,plain,
( ! [X0] : ~ member(member_of_1_not_of_2(intersection(bs,as),intersection(as,bs)),intersection(bs,X0))
| spl0_4 ),
inference(resolution,[],[f65,f11]) ).
fof(f65,plain,
( ~ member(member_of_1_not_of_2(intersection(bs,as),intersection(as,bs)),bs)
| spl0_4 ),
inference(avatar_component_clause,[],[f63]) ).
fof(f63,plain,
( spl0_4
<=> member(member_of_1_not_of_2(intersection(bs,as),intersection(as,bs)),bs) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).
fof(f83,plain,
( spl0_1
| spl0_3 ),
inference(avatar_contradiction_clause,[],[f82]) ).
fof(f82,plain,
( $false
| spl0_1
| spl0_3 ),
inference(subsumption_resolution,[],[f77,f30]) ).
fof(f77,plain,
( subset(intersection(bs,as),intersection(as,bs))
| spl0_3 ),
inference(resolution,[],[f72,f3]) ).
fof(f72,plain,
( ! [X0] : ~ member(member_of_1_not_of_2(intersection(bs,as),intersection(as,bs)),intersection(X0,as))
| spl0_3 ),
inference(resolution,[],[f61,f12]) ).
fof(f61,plain,
( ~ member(member_of_1_not_of_2(intersection(bs,as),intersection(as,bs)),as)
| spl0_3 ),
inference(avatar_component_clause,[],[f59]) ).
fof(f59,plain,
( spl0_3
<=> member(member_of_1_not_of_2(intersection(bs,as),intersection(as,bs)),as) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).
fof(f66,plain,
( ~ spl0_3
| ~ spl0_4
| spl0_1 ),
inference(avatar_split_clause,[],[f54,f28,f63,f59]) ).
fof(f54,plain,
( ~ member(member_of_1_not_of_2(intersection(bs,as),intersection(as,bs)),bs)
| ~ member(member_of_1_not_of_2(intersection(bs,as),intersection(as,bs)),as)
| spl0_1 ),
inference(resolution,[],[f37,f10]) ).
fof(f37,plain,
( ~ member(member_of_1_not_of_2(intersection(bs,as),intersection(as,bs)),intersection(as,bs))
| spl0_1 ),
inference(resolution,[],[f30,f4]) ).
fof(f36,plain,
( ~ spl0_2
| ~ spl0_1 ),
inference(avatar_split_clause,[],[f26,f28,f32]) ).
fof(f26,plain,
( ~ subset(intersection(bs,as),intersection(as,bs))
| ~ subset(intersection(as,bs),intersection(bs,as)) ),
inference(resolution,[],[f15,f23]) ).
fof(f23,plain,
~ equal_sets(intersection(bs,as),intersection(as,bs)),
inference(resolution,[],[f17,f22]) ).
fof(f22,axiom,
~ equal_sets(intersection(as,bs),intersection(bs,as)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_commutativity) ).
fof(f17,axiom,
! [X4,X5] :
( equal_sets(X5,X4)
| ~ equal_sets(X4,X5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',symmetry_for_set_equal) ).
fof(f15,axiom,
! [X6,X7] :
( equal_sets(X7,X6)
| ~ subset(X7,X6)
| ~ subset(X6,X7) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',subsets_are_set_equal_sets) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SET013-1 : TPTP v8.2.0. Bugfixed v2.1.0.
% 0.03/0.13 % 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
% 0.14/0.34 % Computer : n020.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Mon May 20 12:08:22 EDT 2024
% 0.14/0.34 % CPUTime :
% 0.14/0.34 This is a CNF_UNS_RFO_NEQ_NHN problem
% 0.14/0.34 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/benchmark/theBenchmark.p
% 0.57/0.72 % (12332)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 theBenchmark for (2996ds/83Mi)
% 0.57/0.73 % (12333)lrs-21_1:1_to=lpo:sil=2000:sp=frequency:sos=on:lma=on:i=56:sd=2:ss=axioms:ep=R_0 on theBenchmark for (2996ds/56Mi)
% 0.57/0.73 % (12332)Refutation not found, incomplete strategy% (12332)------------------------------
% 0.57/0.73 % (12332)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.57/0.73 % (12332)Termination reason: Refutation not found, incomplete strategy
% 0.57/0.73
% 0.57/0.73 % (12332)Memory used [KB]: 987
% 0.57/0.73 % (12332)Time elapsed: 0.002 s
% 0.57/0.73 % (12326)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 theBenchmark for (2996ds/34Mi)
% 0.57/0.73 % (12332)Instructions burned: 2 (million)
% 0.57/0.73 % (12332)------------------------------
% 0.57/0.73 % (12332)------------------------------
% 0.57/0.73 % (12330)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 theBenchmark for (2996ds/34Mi)
% 0.57/0.73 % (12329)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on theBenchmark for (2996ds/33Mi)
% 0.57/0.73 % (12334)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 theBenchmark for (2996ds/55Mi)
% 0.57/0.73 % (12334)Refutation not found, incomplete strategy% (12334)------------------------------
% 0.57/0.73 % (12334)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.57/0.73 % (12334)Termination reason: Refutation not found, incomplete strategy
% 0.57/0.73
% 0.57/0.73 % (12334)Memory used [KB]: 984
% 0.57/0.73 % (12334)Time elapsed: 0.002 s
% 0.57/0.73 % (12334)Instructions burned: 2 (million)
% 0.57/0.73 % (12334)------------------------------
% 0.57/0.73 % (12334)------------------------------
% 0.57/0.73 % (12331)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on theBenchmark for (2996ds/45Mi)
% 0.57/0.73 % (12335)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 theBenchmark for (2996ds/50Mi)
% 0.57/0.74 % (12329)Instruction limit reached!
% 0.57/0.74 % (12329)------------------------------
% 0.57/0.74 % (12329)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.57/0.74 % (12329)Termination reason: Unknown
% 0.57/0.74 % (12329)Termination phase: Saturation
% 0.57/0.74
% 0.57/0.74 % (12329)Memory used [KB]: 1122
% 0.57/0.74 % (12329)Time elapsed: 0.010 s
% 0.57/0.74 % (12329)Instructions burned: 36 (million)
% 0.57/0.74 % (12329)------------------------------
% 0.57/0.74 % (12329)------------------------------
% 0.57/0.74 % (12328)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on theBenchmark for (2996ds/78Mi)
% 0.57/0.74 % (12327)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 theBenchmark for (2996ds/51Mi)
% 0.57/0.74 % (12336)lrs+1010_1:2_sil=4000:tgt=ground:nwc=10.0:st=2.0:i=208:sd=1:bd=off:ss=axioms_0 on theBenchmark for (2996ds/208Mi)
% 0.57/0.74 % (12336)Refutation not found, incomplete strategy% (12336)------------------------------
% 0.57/0.74 % (12336)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.57/0.74 % (12336)Termination reason: Refutation not found, incomplete strategy
% 0.57/0.74
% 0.57/0.74 % (12336)Memory used [KB]: 987
% 0.57/0.74 % (12336)Time elapsed: 0.002 s
% 0.57/0.74 % (12336)Instructions burned: 3 (million)
% 0.57/0.74 % (12336)------------------------------
% 0.57/0.74 % (12336)------------------------------
% 0.57/0.74 % (12328)First to succeed.
% 0.57/0.74 % (12328)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-12325"
% 0.57/0.74 % (12328)Refutation found. Thanks to Tanya!
% 0.57/0.74 % SZS status Unsatisfiable for theBenchmark
% 0.57/0.74 % SZS output start Proof for theBenchmark
% See solution above
% 0.57/0.74 % (12328)------------------------------
% 0.57/0.74 % (12328)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.57/0.74 % (12328)Termination reason: Refutation
% 0.57/0.74
% 0.57/0.74 % (12328)Memory used [KB]: 1087
% 0.57/0.74 % (12328)Time elapsed: 0.028 s
% 0.57/0.74 % (12328)Instructions burned: 7 (million)
% 0.57/0.74 % (12325)Success in time 0.393 s
% 0.57/0.74 % Vampire---4.8 exiting
%------------------------------------------------------------------------------