TSTP Solution File: SET236-6 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SET236-6 : 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/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% Computer : n025.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 03:09:52 EDT 2024
% Result : Unsatisfiable 0.62s 0.78s
% Output : Refutation 0.62s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 9
% Syntax : Number of formulae : 22 ( 6 unt; 0 def)
% Number of atoms : 41 ( 1 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 41 ( 22 ~; 17 |; 0 &)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 3 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 3 con; 0-2 aty)
% Number of variables : 23 ( 23 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f146,plain,
$false,
inference(avatar_sat_refutation,[],[f136,f142,f145]) ).
fof(f145,plain,
~ spl0_4,
inference(avatar_contradiction_clause,[],[f144]) ).
fof(f144,plain,
( $false
| ~ spl0_4 ),
inference(subsumption_resolution,[],[f143,f115]) ).
fof(f115,axiom,
~ subclass(x,y),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_cross_product_property11_3) ).
fof(f143,plain,
( subclass(x,y)
| ~ spl0_4 ),
inference(resolution,[],[f135,f3]) ).
fof(f3,axiom,
! [X0,X1] :
( ~ member(not_subclass_element(X0,X1),X1)
| subclass(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_subclass_members2) ).
fof(f135,plain,
( member(not_subclass_element(x,y),y)
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f133]) ).
fof(f133,plain,
( spl0_4
<=> member(not_subclass_element(x,y),y) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).
fof(f142,plain,
~ spl0_3,
inference(avatar_contradiction_clause,[],[f141]) ).
fof(f141,plain,
( $false
| ~ spl0_3 ),
inference(resolution,[],[f140,f113]) ).
fof(f113,axiom,
subclass(x,cross_product(universal_class,universal_class)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_cross_product_property11_1) ).
fof(f140,plain,
( ! [X0,X1] : ~ subclass(x,cross_product(X0,X1))
| ~ spl0_3 ),
inference(subsumption_resolution,[],[f138,f115]) ).
fof(f138,plain,
( ! [X0,X1] :
( ~ subclass(x,cross_product(X0,X1))
| subclass(x,y) )
| ~ spl0_3 ),
inference(resolution,[],[f137,f2]) ).
fof(f2,axiom,
! [X0,X1] :
( member(not_subclass_element(X0,X1),X0)
| subclass(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_subclass_members1) ).
fof(f137,plain,
( ! [X2,X0,X1] :
( ~ member(not_subclass_element(x,y),X0)
| ~ subclass(X0,cross_product(X1,X2)) )
| ~ spl0_3 ),
inference(resolution,[],[f131,f1]) ).
fof(f1,axiom,
! [X2,X0,X1] :
( member(X2,X1)
| ~ member(X2,X0)
| ~ subclass(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',subclass_members) ).
fof(f131,plain,
( ! [X0,X1] : ~ member(not_subclass_element(x,y),cross_product(X0,X1))
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f130]) ).
fof(f130,plain,
( spl0_3
<=> ! [X0,X1] : ~ member(not_subclass_element(x,y),cross_product(X0,X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).
fof(f136,plain,
( spl0_3
| spl0_4 ),
inference(avatar_split_clause,[],[f128,f133,f130]) ).
fof(f128,plain,
! [X0,X1] :
( member(not_subclass_element(x,y),y)
| ~ member(not_subclass_element(x,y),cross_product(X0,X1)) ),
inference(superposition,[],[f114,f17]) ).
fof(f17,axiom,
! [X0,X1,X4] :
( ordered_pair(first(X4),second(X4)) = X4
| ~ member(X4,cross_product(X0,X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cartesian_product4) ).
fof(f114,axiom,
member(ordered_pair(first(not_subclass_element(x,y)),second(not_subclass_element(x,y))),y),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_cross_product_property11_2) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13 % Problem : SET236-6 : TPTP v8.2.0. Bugfixed v2.1.0.
% 0.14/0.15 % 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
% 0.16/0.37 % Computer : n025.cluster.edu
% 0.16/0.37 % Model : x86_64 x86_64
% 0.16/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.37 % Memory : 8042.1875MB
% 0.16/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.37 % CPULimit : 300
% 0.16/0.37 % WCLimit : 300
% 0.16/0.37 % DateTime : Mon May 20 13:32:08 EDT 2024
% 0.16/0.37 % CPUTime :
% 0.16/0.37 This is a CNF_UNS_RFO_SEQ_NHN problem
% 0.16/0.37 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/benchmark/theBenchmark.p
% 0.62/0.77 % (6054)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)
% 0.62/0.77 % (6053)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)
% 0.62/0.77 % (6055)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)
% 0.62/0.77 % (6056)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)
% 0.62/0.77 % (6057)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)
% 0.62/0.77 % (6050)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)
% 0.62/0.77 % (6052)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on theBenchmark for (2996ds/78Mi)
% 0.62/0.77 % (6057)Refutation not found, incomplete strategy% (6057)------------------------------
% 0.62/0.77 % (6057)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.62/0.77 % (6057)Termination reason: Refutation not found, incomplete strategy
% 0.62/0.77
% 0.62/0.77 % (6057)Memory used [KB]: 1101
% 0.62/0.77 % (6057)Time elapsed: 0.003 s
% 0.62/0.77 % (6057)Instructions burned: 3 (million)
% 0.62/0.77 % (6055)First to succeed.
% 0.62/0.77 % (6057)------------------------------
% 0.62/0.77 % (6057)------------------------------
% 0.62/0.77 % (6051)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)
% 0.62/0.77 % (6053)Also succeeded, but the first one will report.
% 0.62/0.77 % (6055)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-6042"
% 0.62/0.78 % (6055)Refutation found. Thanks to Tanya!
% 0.62/0.78 % SZS status Unsatisfiable for theBenchmark
% 0.62/0.78 % SZS output start Proof for theBenchmark
% See solution above
% 0.62/0.78 % (6055)------------------------------
% 0.62/0.78 % (6055)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.62/0.78 % (6055)Termination reason: Refutation
% 0.62/0.78
% 0.62/0.78 % (6055)Memory used [KB]: 1122
% 0.62/0.78 % (6055)Time elapsed: 0.004 s
% 0.62/0.78 % (6055)Instructions burned: 3 (million)
% 0.62/0.78 % (6042)Success in time 0.4 s
% 0.62/0.78 % Vampire---4.8 exiting
%------------------------------------------------------------------------------