TSTP Solution File: SET050-6 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SET050-6 : 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/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% Computer : n004.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 03:44:36 EDT 2024
% Result : Unsatisfiable 0.60s 0.82s
% Output : Refutation 0.60s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 8
% Syntax : Number of formulae : 14 ( 10 unt; 0 def)
% Number of atoms : 19 ( 3 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 13 ( 8 ~; 5 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 5 con; 0-2 aty)
% Number of variables : 20 ( 20 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f160,plain,
$false,
inference(unit_resulting_resolution,[],[f129,f98,f101]) ).
fof(f101,plain,
! [X2,X3,X0,X1] :
( ~ member(unordered_pair(unordered_pair(X2,X2),unordered_pair(X2,unordered_pair(X3,X3))),cross_product(X0,X1))
| member(X2,X0) ),
inference(definition_unfolding,[],[f14,f94]) ).
fof(f94,plain,
! [X0,X1] : ordered_pair(X0,X1) = unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),
inference(definition_unfolding,[],[f13,f12,f12]) ).
fof(f12,axiom,
! [X0] : unordered_pair(X0,X0) = singleton(X0),
file('/export/starexec/sandbox/tmp/tmp.K77sEI20fT/Vampire---4.8_6913',singleton_set) ).
fof(f13,axiom,
! [X0,X1] : unordered_pair(singleton(X0),unordered_pair(X0,singleton(X1))) = ordered_pair(X0,X1),
file('/export/starexec/sandbox/tmp/tmp.K77sEI20fT/Vampire---4.8_6913',ordered_pair) ).
fof(f14,axiom,
! [X2,X3,X0,X1] :
( member(X2,X0)
| ~ member(ordered_pair(X2,X3),cross_product(X0,X1)) ),
file('/export/starexec/sandbox/tmp/tmp.K77sEI20fT/Vampire---4.8_6913',cartesian_product1) ).
fof(f98,plain,
member(unordered_pair(unordered_pair(x,x),unordered_pair(x,unordered_pair(y,y))),cross_product(u,v)),
inference(definition_unfolding,[],[f92,f94]) ).
fof(f92,axiom,
member(ordered_pair(x,y),cross_product(u,v)),
file('/export/starexec/sandbox/tmp/tmp.K77sEI20fT/Vampire---4.8_6913',prove_corollary_1_to_unordered_pair_1) ).
fof(f129,plain,
! [X0] : ~ member(x,X0),
inference(unit_resulting_resolution,[],[f4,f117,f1]) ).
fof(f1,axiom,
! [X2,X0,X1] :
( ~ subclass(X0,X1)
| ~ member(X2,X0)
| member(X2,X1) ),
file('/export/starexec/sandbox/tmp/tmp.K77sEI20fT/Vampire---4.8_6913',subclass_members) ).
fof(f117,plain,
~ member(x,universal_class),
inference(unit_resulting_resolution,[],[f93,f9]) ).
fof(f9,axiom,
! [X0,X1] :
( member(X0,unordered_pair(X0,X1))
| ~ member(X0,universal_class) ),
file('/export/starexec/sandbox/tmp/tmp.K77sEI20fT/Vampire---4.8_6913',unordered_pair2) ).
fof(f93,axiom,
~ member(x,unordered_pair(x,y)),
file('/export/starexec/sandbox/tmp/tmp.K77sEI20fT/Vampire---4.8_6913',prove_corollary_1_to_unordered_pair_2) ).
fof(f4,axiom,
! [X0] : subclass(X0,universal_class),
file('/export/starexec/sandbox/tmp/tmp.K77sEI20fT/Vampire---4.8_6913',class_elements_are_sets) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.11 % Problem : SET050-6 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.05/0.12 % 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 : n004.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 : Tue Apr 30 17:07:33 EDT 2024
% 0.12/0.33 % CPUTime :
% 0.12/0.33 This is a CNF_UNS_RFO_SEQ_NHN problem
% 0.12/0.33 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.K77sEI20fT/Vampire---4.8_6913
% 0.60/0.82 % (7027)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2995ds/78Mi)
% 0.60/0.82 % (7025)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)
% 0.60/0.82 % (7028)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)
% 0.60/0.82 % (7030)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)
% 0.60/0.82 % (7029)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)
% 0.60/0.82 % (7026)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)
% 0.60/0.82 % (7031)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)
% 0.60/0.82 % (7032)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)
% 0.60/0.82 % (7030)Refutation not found, incomplete strategy% (7030)------------------------------
% 0.60/0.82 % (7030)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.60/0.82 % (7030)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.82
% 0.60/0.82 % (7030)Memory used [KB]: 1070
% 0.60/0.82 % (7030)Time elapsed: 0.003 s
% 0.60/0.82 % (7030)Instructions burned: 3 (million)
% 0.60/0.82 % (7030)------------------------------
% 0.60/0.82 % (7030)------------------------------
% 0.60/0.82 % (7027)Refutation not found, incomplete strategy% (7027)------------------------------
% 0.60/0.82 % (7027)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.60/0.82 % (7027)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.82
% 0.60/0.82 % (7027)Memory used [KB]: 1072
% 0.60/0.82 % (7027)Time elapsed: 0.004 s
% 0.60/0.82 % (7027)Instructions burned: 3 (million)
% 0.60/0.82 % (7027)------------------------------
% 0.60/0.82 % (7027)------------------------------
% 0.60/0.82 % (7032)Refutation not found, incomplete strategy% (7032)------------------------------
% 0.60/0.82 % (7032)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.60/0.82 % (7032)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.82
% 0.60/0.82 % (7032)Memory used [KB]: 1069
% 0.60/0.82 % (7032)Time elapsed: 0.003 s
% 0.60/0.82 % (7032)Instructions burned: 2 (million)
% 0.60/0.82 % (7032)------------------------------
% 0.60/0.82 % (7032)------------------------------
% 0.60/0.82 % (7031)First to succeed.
% 0.60/0.82 % (7029)Also succeeded, but the first one will report.
% 0.60/0.82 % (7031)Refutation found. Thanks to Tanya!
% 0.60/0.82 % SZS status Unsatisfiable for Vampire---4
% 0.60/0.82 % SZS output start Proof for Vampire---4
% See solution above
% 0.60/0.82 % (7031)------------------------------
% 0.60/0.82 % (7031)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.60/0.82 % (7031)Termination reason: Refutation
% 0.60/0.82
% 0.60/0.82 % (7031)Memory used [KB]: 1144
% 0.60/0.82 % (7031)Time elapsed: 0.005 s
% 0.60/0.82 % (7031)Instructions burned: 7 (million)
% 0.60/0.82 % (7031)------------------------------
% 0.60/0.82 % (7031)------------------------------
% 0.60/0.82 % (7021)Success in time 0.489 s
% 0.60/0.82 % Vampire---4.8 exiting
%------------------------------------------------------------------------------