TSTP Solution File: SET012-1 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SET012-1 : 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/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% Computer : n009.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 09:02:45 EDT 2024
% Result : Unsatisfiable 0.63s 0.82s
% Output : Refutation 0.63s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 9
% Syntax : Number of formulae : 27 ( 5 unt; 0 def)
% Number of atoms : 50 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 41 ( 18 ~; 21 |; 0 &)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 6 ( 5 usr; 3 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 1 con; 0-2 aty)
% Number of variables : 12 ( 12 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f81,plain,
$false,
inference(avatar_sat_refutation,[],[f38,f65,f80]) ).
fof(f80,plain,
spl0_2,
inference(avatar_contradiction_clause,[],[f79]) ).
fof(f79,plain,
( $false
| spl0_2 ),
inference(subsumption_resolution,[],[f77,f66]) ).
fof(f66,plain,
( ~ member(member_of_1_not_of_2(complement(complement(a)),a),a)
| spl0_2 ),
inference(resolution,[],[f36,f4]) ).
fof(f4,axiom,
! [X2,X3] :
( subset(X2,X3)
| ~ member(member_of_1_not_of_2(X2,X3),X3) ),
file('/export/starexec/sandbox/tmp/tmp.tUmdlKi4hO/Vampire---4.8_20424',subsets_axiom2) ).
fof(f36,plain,
( ~ subset(complement(complement(a)),a)
| spl0_2 ),
inference(avatar_component_clause,[],[f34]) ).
fof(f34,plain,
( spl0_2
<=> subset(complement(complement(a)),a) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).
fof(f77,plain,
( member(member_of_1_not_of_2(complement(complement(a)),a),a)
| spl0_2 ),
inference(resolution,[],[f71,f5]) ).
fof(f5,axiom,
! [X0,X4] :
( member(X0,complement(X4))
| member(X0,X4) ),
file('/export/starexec/sandbox/tmp/tmp.tUmdlKi4hO/Vampire---4.8_20424',member_of_set_or_complement) ).
fof(f71,plain,
( ~ member(member_of_1_not_of_2(complement(complement(a)),a),complement(a))
| spl0_2 ),
inference(resolution,[],[f67,f6]) ).
fof(f6,axiom,
! [X0,X4] :
( ~ member(X0,complement(X4))
| ~ member(X0,X4) ),
file('/export/starexec/sandbox/tmp/tmp.tUmdlKi4hO/Vampire---4.8_20424',not_member_of_set_and_complement) ).
fof(f67,plain,
( member(member_of_1_not_of_2(complement(complement(a)),a),complement(complement(a)))
| spl0_2 ),
inference(resolution,[],[f36,f3]) ).
fof(f3,axiom,
! [X2,X3] :
( subset(X2,X3)
| member(member_of_1_not_of_2(X2,X3),X2) ),
file('/export/starexec/sandbox/tmp/tmp.tUmdlKi4hO/Vampire---4.8_20424',subsets_axiom1) ).
fof(f65,plain,
spl0_1,
inference(avatar_contradiction_clause,[],[f64]) ).
fof(f64,plain,
( $false
| spl0_1 ),
inference(subsumption_resolution,[],[f62,f40]) ).
fof(f40,plain,
( member(member_of_1_not_of_2(a,complement(complement(a))),a)
| spl0_1 ),
inference(resolution,[],[f32,f3]) ).
fof(f32,plain,
( ~ subset(a,complement(complement(a)))
| spl0_1 ),
inference(avatar_component_clause,[],[f30]) ).
fof(f30,plain,
( spl0_1
<=> subset(a,complement(complement(a))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).
fof(f62,plain,
( ~ member(member_of_1_not_of_2(a,complement(complement(a))),a)
| spl0_1 ),
inference(resolution,[],[f60,f6]) ).
fof(f60,plain,
( member(member_of_1_not_of_2(a,complement(complement(a))),complement(a))
| spl0_1 ),
inference(resolution,[],[f39,f5]) ).
fof(f39,plain,
( ~ member(member_of_1_not_of_2(a,complement(complement(a))),complement(complement(a)))
| spl0_1 ),
inference(resolution,[],[f32,f4]) ).
fof(f38,plain,
( ~ spl0_2
| ~ spl0_1 ),
inference(avatar_split_clause,[],[f28,f30,f34]) ).
fof(f28,plain,
( ~ subset(a,complement(complement(a)))
| ~ subset(complement(complement(a)),a) ),
inference(resolution,[],[f15,f23]) ).
fof(f23,plain,
~ equal_sets(a,complement(complement(a))),
inference(resolution,[],[f17,f22]) ).
fof(f22,axiom,
~ equal_sets(complement(complement(a)),a),
file('/export/starexec/sandbox/tmp/tmp.tUmdlKi4hO/Vampire---4.8_20424',prove_involution) ).
fof(f17,axiom,
! [X4,X5] :
( equal_sets(X5,X4)
| ~ equal_sets(X4,X5) ),
file('/export/starexec/sandbox/tmp/tmp.tUmdlKi4hO/Vampire---4.8_20424',symmetry_for_set_equal) ).
fof(f15,axiom,
! [X6,X7] :
( equal_sets(X7,X6)
| ~ subset(X7,X6)
| ~ subset(X6,X7) ),
file('/export/starexec/sandbox/tmp/tmp.tUmdlKi4hO/Vampire---4.8_20424',subsets_are_set_equal_sets) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : SET012-1 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.10/0.13 % 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
% 0.12/0.33 % Computer : n009.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Fri May 3 16:50:53 EDT 2024
% 0.12/0.33 % CPUTime :
% 0.12/0.33 This is a CNF_UNS_RFO_NEQ_NHN problem
% 0.18/0.34 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/tmp/tmp.tUmdlKi4hO/Vampire---4.8_20424
% 0.63/0.82 % (20535)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 (2995ds/34Mi)
% 0.63/0.82 % (20536)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 (2995ds/51Mi)
% 0.63/0.82 % (20538)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on Vampire---4 for (2995ds/33Mi)
% 0.63/0.82 % (20540)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on Vampire---4 for (2995ds/45Mi)
% 0.63/0.82 % (20539)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 (2995ds/34Mi)
% 0.63/0.82 % (20537)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2995ds/78Mi)
% 0.63/0.82 % (20541)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 (2995ds/83Mi)
% 0.63/0.82 % (20542)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 (2995ds/56Mi)
% 0.63/0.82 % (20541)Refutation not found, incomplete strategy% (20541)------------------------------
% 0.63/0.82 % (20541)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.63/0.82 % (20541)Termination reason: Refutation not found, incomplete strategy
% 0.63/0.82
% 0.63/0.82 % (20541)Memory used [KB]: 978
% 0.63/0.82 % (20541)Time elapsed: 0.003 s
% 0.63/0.82 % (20541)Instructions burned: 2 (million)
% 0.63/0.82 % (20541)------------------------------
% 0.63/0.82 % (20541)------------------------------
% 0.63/0.82 % (20537)First to succeed.
% 0.63/0.82 % (20537)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-20533"
% 0.63/0.82 % (20537)Refutation found. Thanks to Tanya!
% 0.63/0.82 % SZS status Unsatisfiable for Vampire---4
% 0.63/0.82 % SZS output start Proof for Vampire---4
% See solution above
% 0.63/0.82 % (20537)------------------------------
% 0.63/0.82 % (20537)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.63/0.82 % (20537)Termination reason: Refutation
% 0.63/0.82
% 0.63/0.82 % (20537)Memory used [KB]: 1002
% 0.63/0.82 % (20537)Time elapsed: 0.004 s
% 0.63/0.82 % (20537)Instructions burned: 4 (million)
% 0.63/0.82 % (20533)Success in time 0.48 s
% 0.63/0.82 % Vampire---4.8 exiting
%------------------------------------------------------------------------------