TSTP Solution File: SET015-1 by Vampire---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SET015-1 : 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 : 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 : Tue May 21 03:07:43 EDT 2024
% Result : Unsatisfiable 0.41s 0.60s
% Output : Refutation 0.41s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 12
% Syntax : Number of formulae : 39 ( 5 unt; 0 def)
% Number of atoms : 84 ( 0 equ)
% Maximal formula atoms : 3 ( 2 avg)
% Number of connectives : 90 ( 45 ~; 43 |; 0 &)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 6 ( 5 usr; 3 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 2 con; 0-2 aty)
% Number of variables : 26 ( 26 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f542,plain,
$false,
inference(avatar_sat_refutation,[],[f36,f242,f541]) ).
fof(f541,plain,
( ~ spl0_1
| spl0_2 ),
inference(avatar_contradiction_clause,[],[f540]) ).
fof(f540,plain,
( $false
| ~ spl0_1
| spl0_2 ),
inference(subsumption_resolution,[],[f539,f34]) ).
fof(f34,plain,
( ~ subset(union(as,bs),union(bs,as))
| spl0_2 ),
inference(avatar_component_clause,[],[f32]) ).
fof(f32,plain,
( spl0_2
<=> subset(union(as,bs),union(bs,as)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).
fof(f539,plain,
( subset(union(as,bs),union(bs,as))
| ~ spl0_1 ),
inference(subsumption_resolution,[],[f533,f252]) ).
fof(f252,plain,
( ~ member(member_of_1_not_of_2(union(as,bs),union(bs,as)),as)
| ~ spl0_1 ),
inference(resolution,[],[f248,f8]) ).
fof(f8,axiom,
! [X0,X4,X5] :
( member(X0,union(X4,X5))
| ~ member(X0,X5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',member_of_set2_is_member_of_union) ).
fof(f248,plain,
( ~ member(member_of_1_not_of_2(union(as,bs),union(bs,as)),union(bs,as))
| ~ spl0_1 ),
inference(subsumption_resolution,[],[f246,f16]) ).
fof(f16,axiom,
! [X4] : equal_sets(X4,X4),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',reflexivity_for_set_equal) ).
fof(f246,plain,
( ~ equal_sets(union(bs,as),union(bs,as))
| ~ member(member_of_1_not_of_2(union(as,bs),union(bs,as)),union(bs,as))
| ~ spl0_1 ),
inference(resolution,[],[f29,f70]) ).
fof(f70,plain,
! [X0] :
( ~ subset(X0,union(as,bs))
| ~ equal_sets(X0,union(bs,as))
| ~ member(member_of_1_not_of_2(union(as,bs),X0),X0) ),
inference(resolution,[],[f44,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(f44,plain,
! [X0] :
( ~ subset(union(as,bs),X0)
| ~ equal_sets(X0,union(bs,as))
| ~ subset(X0,union(as,bs)) ),
inference(resolution,[],[f40,f15]) ).
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) ).
fof(f40,plain,
! [X0] :
( ~ equal_sets(union(as,bs),X0)
| ~ equal_sets(X0,union(bs,as)) ),
inference(resolution,[],[f18,f22]) ).
fof(f22,axiom,
~ equal_sets(union(as,bs),union(bs,as)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_commutativity) ).
fof(f18,axiom,
! [X8,X4,X5] :
( equal_sets(X4,X8)
| ~ equal_sets(X5,X8)
| ~ equal_sets(X4,X5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',transitivity_for_set_equal) ).
fof(f29,plain,
( subset(union(bs,as),union(as,bs))
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f28]) ).
fof(f28,plain,
( spl0_1
<=> subset(union(bs,as),union(as,bs)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).
fof(f533,plain,
( member(member_of_1_not_of_2(union(as,bs),union(bs,as)),as)
| subset(union(as,bs),union(bs,as))
| ~ spl0_1 ),
inference(resolution,[],[f268,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(f268,plain,
( ! [X0] :
( ~ member(member_of_1_not_of_2(union(as,bs),union(bs,as)),union(X0,bs))
| member(member_of_1_not_of_2(union(as,bs),union(bs,as)),X0) )
| ~ spl0_1 ),
inference(resolution,[],[f253,f9]) ).
fof(f9,axiom,
! [X0,X4,X5] :
( member(X0,X5)
| member(X0,X4)
| ~ member(X0,union(X4,X5)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',member_of_union_is_member_of_one_set) ).
fof(f253,plain,
( ~ member(member_of_1_not_of_2(union(as,bs),union(bs,as)),bs)
| ~ spl0_1 ),
inference(resolution,[],[f248,f7]) ).
fof(f7,axiom,
! [X0,X4,X5] :
( member(X0,union(X4,X5))
| ~ member(X0,X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',member_of_set1_is_member_of_union) ).
fof(f242,plain,
spl0_1,
inference(avatar_contradiction_clause,[],[f241]) ).
fof(f241,plain,
( $false
| spl0_1 ),
inference(subsumption_resolution,[],[f240,f30]) ).
fof(f30,plain,
( ~ subset(union(bs,as),union(as,bs))
| spl0_1 ),
inference(avatar_component_clause,[],[f28]) ).
fof(f240,plain,
( subset(union(bs,as),union(as,bs))
| spl0_1 ),
inference(subsumption_resolution,[],[f234,f55]) ).
fof(f55,plain,
( ~ member(member_of_1_not_of_2(union(bs,as),union(as,bs)),bs)
| spl0_1 ),
inference(resolution,[],[f37,f8]) ).
fof(f37,plain,
( ~ member(member_of_1_not_of_2(union(bs,as),union(as,bs)),union(as,bs))
| spl0_1 ),
inference(resolution,[],[f30,f4]) ).
fof(f234,plain,
( member(member_of_1_not_of_2(union(bs,as),union(as,bs)),bs)
| subset(union(bs,as),union(as,bs))
| spl0_1 ),
inference(resolution,[],[f68,f3]) ).
fof(f68,plain,
( ! [X0] :
( ~ member(member_of_1_not_of_2(union(bs,as),union(as,bs)),union(X0,as))
| member(member_of_1_not_of_2(union(bs,as),union(as,bs)),X0) )
| spl0_1 ),
inference(resolution,[],[f56,f9]) ).
fof(f56,plain,
( ~ member(member_of_1_not_of_2(union(bs,as),union(as,bs)),as)
| spl0_1 ),
inference(resolution,[],[f37,f7]) ).
fof(f36,plain,
( ~ spl0_2
| ~ spl0_1 ),
inference(avatar_split_clause,[],[f26,f28,f32]) ).
fof(f26,plain,
( ~ subset(union(bs,as),union(as,bs))
| ~ subset(union(as,bs),union(bs,as)) ),
inference(resolution,[],[f15,f23]) ).
fof(f23,plain,
~ equal_sets(union(bs,as),union(as,bs)),
inference(resolution,[],[f17,f22]) ).
fof(f17,axiom,
! [X4,X5] :
( equal_sets(X5,X4)
| ~ equal_sets(X4,X5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',symmetry_for_set_equal) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.09 % Problem : SET015-1 : TPTP v8.2.0. Bugfixed v2.1.0.
% 0.05/0.10 % 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
% 0.10/0.29 % Computer : n032.cluster.edu
% 0.10/0.29 % Model : x86_64 x86_64
% 0.10/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.29 % Memory : 8042.1875MB
% 0.10/0.29 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.29 % CPULimit : 300
% 0.10/0.29 % WCLimit : 300
% 0.10/0.29 % DateTime : Mon May 20 12:19:52 EDT 2024
% 0.10/0.29 % CPUTime :
% 0.10/0.29 This is a CNF_UNS_RFO_NEQ_NHN problem
% 0.10/0.29 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
% 0.41/0.58 % (29540)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 (2997ds/56Mi)
% 0.41/0.58 % (29539)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 (2997ds/83Mi)
% 0.41/0.58 % (29538)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on theBenchmark for (2997ds/45Mi)
% 0.41/0.58 % (29533)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 (2997ds/34Mi)
% 0.41/0.58 % (29535)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on theBenchmark for (2997ds/78Mi)
% 0.41/0.58 % (29534)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 (2997ds/51Mi)
% 0.41/0.58 % (29537)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 (2997ds/34Mi)
% 0.41/0.58 % (29536)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on theBenchmark for (2997ds/33Mi)
% 0.41/0.58 % (29539)Refutation not found, incomplete strategy% (29539)------------------------------
% 0.41/0.58 % (29539)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.41/0.58 % (29539)Termination reason: Refutation not found, incomplete strategy
% 0.41/0.58
% 0.41/0.58 % (29539)Memory used [KB]: 987
% 0.41/0.58 % (29539)Time elapsed: 0.002 s
% 0.41/0.58 % (29539)Instructions burned: 2 (million)
% 0.41/0.58 % (29539)------------------------------
% 0.41/0.58 % (29539)------------------------------
% 0.41/0.59 % (29541)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 (2997ds/55Mi)
% 0.41/0.59 % (29541)Refutation not found, incomplete strategy% (29541)------------------------------
% 0.41/0.59 % (29541)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.41/0.59 % (29541)Termination reason: Refutation not found, incomplete strategy
% 0.41/0.59
% 0.41/0.59 % (29541)Memory used [KB]: 984
% 0.41/0.59 % (29541)Time elapsed: 0.002 s
% 0.41/0.59 % (29541)Instructions burned: 2 (million)
% 0.41/0.59 % (29541)------------------------------
% 0.41/0.59 % (29541)------------------------------
% 0.41/0.59 % (29542)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 (2997ds/50Mi)
% 0.41/0.60 % (29540)Instruction limit reached!
% 0.41/0.60 % (29540)------------------------------
% 0.41/0.60 % (29540)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.41/0.60 % (29540)Termination reason: Unknown
% 0.41/0.60 % (29540)Termination phase: Saturation
% 0.41/0.60
% 0.41/0.60 % (29540)Memory used [KB]: 1114
% 0.41/0.60 % (29540)Time elapsed: 0.014 s
% 0.41/0.60 % (29540)Instructions burned: 58 (million)
% 0.41/0.60 % (29540)------------------------------
% 0.41/0.60 % (29540)------------------------------
% 0.41/0.60 % (29543)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 (2997ds/208Mi)
% 0.41/0.60 % (29536)Instruction limit reached!
% 0.41/0.60 % (29536)------------------------------
% 0.41/0.60 % (29536)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.41/0.60 % (29536)Termination reason: Unknown
% 0.41/0.60 % (29536)Termination phase: Saturation
% 0.41/0.60
% 0.41/0.60 % (29536)Memory used [KB]: 1123
% 0.41/0.60 % (29536)Time elapsed: 0.017 s
% 0.41/0.60 % (29536)Instructions burned: 34 (million)
% 0.41/0.60 % (29536)------------------------------
% 0.41/0.60 % (29536)------------------------------
% 0.41/0.60 % (29543)Refutation not found, incomplete strategy% (29543)------------------------------
% 0.41/0.60 % (29543)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.41/0.60 % (29543)Termination reason: Refutation not found, incomplete strategy
% 0.41/0.60
% 0.41/0.60 % (29543)Memory used [KB]: 987
% 0.41/0.60 % (29543)Time elapsed: 0.001 s
% 0.41/0.60 % (29543)Instructions burned: 3 (million)
% 0.41/0.60 % (29543)------------------------------
% 0.41/0.60 % (29543)------------------------------
% 0.41/0.60 % (29533)Instruction limit reached!
% 0.41/0.60 % (29533)------------------------------
% 0.41/0.60 % (29533)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.41/0.60 % (29533)Termination reason: Unknown
% 0.41/0.60 % (29533)Termination phase: Saturation
% 0.41/0.60
% 0.41/0.60 % (29533)Memory used [KB]: 1120
% 0.41/0.60 % (29533)Time elapsed: 0.018 s
% 0.41/0.60 % (29533)Instructions burned: 34 (million)
% 0.41/0.60 % (29533)------------------------------
% 0.41/0.60 % (29533)------------------------------
% 0.41/0.60 % (29537)Instruction limit reached!
% 0.41/0.60 % (29537)------------------------------
% 0.41/0.60 % (29537)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.41/0.60 % (29537)Termination reason: Unknown
% 0.41/0.60 % (29537)Termination phase: Saturation
% 0.41/0.60
% 0.41/0.60 % (29537)Memory used [KB]: 1140
% 0.41/0.60 % (29537)Time elapsed: 0.018 s
% 0.41/0.60 % (29537)Instructions burned: 35 (million)
% 0.41/0.60 % (29537)------------------------------
% 0.41/0.60 % (29537)------------------------------
% 0.41/0.60 % (29545)lrs-1010_1:1_to=lpo:sil=2000:sp=reverse_arity:sos=on:urr=ec_only:i=518:sd=2:bd=off:ss=axioms:sgt=16_0 on theBenchmark for (2997ds/518Mi)
% 0.41/0.60 % (29538)Instruction limit reached!
% 0.41/0.60 % (29538)------------------------------
% 0.41/0.60 % (29538)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.41/0.60 % (29538)Termination reason: Unknown
% 0.41/0.60 % (29538)Termination phase: Saturation
% 0.41/0.60
% 0.41/0.60 % (29538)Memory used [KB]: 1123
% 0.41/0.60 % (29538)Time elapsed: 0.020 s
% 0.41/0.60 % (29538)Instructions burned: 46 (million)
% 0.41/0.60 % (29538)------------------------------
% 0.41/0.60 % (29538)------------------------------
% 0.41/0.60 % (29544)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 theBenchmark for (2997ds/52Mi)
% 0.41/0.60 % (29546)lrs+1011_87677:1048576_sil=8000:sos=on:spb=non_intro:nwc=10.0:kmz=on:i=42:ep=RS:nm=0:ins=1:uhcvi=on:rawr=on:fde=unused:afp=2000:afq=1.444:plsq=on:nicw=on_0 on theBenchmark for (2997ds/42Mi)
% 0.41/0.60 % (29547)dis+1011_1258907:1048576_bsr=unit_only:to=lpo:drc=off:sil=2000:tgt=full:fde=none:sp=frequency:spb=goal:rnwc=on:nwc=6.70083:sac=on:newcnf=on:st=2:i=243:bs=unit_only:sd=3:afp=300:awrs=decay:awrsf=218:nm=16:ins=3:afq=3.76821:afr=on:ss=axioms:sgt=5:rawr=on:add=off:bsd=on_0 on theBenchmark for (2997ds/243Mi)
% 0.41/0.60 % (29535)First to succeed.
% 0.41/0.60 % (29546)Refutation not found, incomplete strategy% (29546)------------------------------
% 0.41/0.60 % (29546)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.41/0.60 % (29546)Termination reason: Refutation not found, incomplete strategy
% 0.41/0.60
% 0.41/0.60 % (29546)Memory used [KB]: 982
% 0.41/0.60 % (29546)Time elapsed: 0.003 s
% 0.41/0.60 % (29546)Instructions burned: 2 (million)
% 0.41/0.60 % (29535)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-29532"
% 0.41/0.60 % (29546)------------------------------
% 0.41/0.60 % (29546)------------------------------
% 0.41/0.60 % (29535)Refutation found. Thanks to Tanya!
% 0.41/0.60 % SZS status Unsatisfiable for theBenchmark
% 0.41/0.60 % SZS output start Proof for theBenchmark
% See solution above
% 0.41/0.61 % (29535)------------------------------
% 0.41/0.61 % (29535)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.41/0.61 % (29535)Termination reason: Refutation
% 0.41/0.61
% 0.41/0.61 % (29535)Memory used [KB]: 1152
% 0.41/0.61 % (29535)Time elapsed: 0.023 s
% 0.41/0.61 % (29535)Instructions burned: 42 (million)
% 0.41/0.61 % (29532)Success in time 0.3 s
% 0.41/0.61 % Vampire---4.8 exiting
%------------------------------------------------------------------------------