TSTP Solution File: SET101-7 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SET101-7 : 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 : n016.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 09:03:58 EDT 2024
% Result : Unsatisfiable 0.58s 0.76s
% Output : Refutation 0.58s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 7
% Syntax : Number of formulae : 14 ( 11 unt; 1 typ; 0 def)
% Number of atoms : 77 ( 3 equ)
% Maximal formula atoms : 3 ( 5 avg)
% Number of connectives : 10 ( 7 ~; 3 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of FOOLs : 61 ( 61 fml; 0 var)
% Number of types : 2 ( 0 usr)
% Number of type conns : 2 ( 1 >; 1 *; 0 +; 0 <<)
% Number of predicates : 10 ( 8 usr; 3 prp; 0-3 aty)
% Number of functors : 0 ( 0 usr; 0 con; --- aty)
% Number of variables : 18 ( 17 !; 0 ?; 18 :)
% ( 1 !>; 0 ?*; 0 @-; 0 @+)
% Comments :
%------------------------------------------------------------------------------
tff(pred_def_10,type,
sQ0_eqProxy:
!>[X0: $tType] : ( ( X0 * X0 ) > $o ) ).
tff(f199,plain,
$false,
inference(subsumption_resolution,[],[f193,f166]) ).
tff(f166,plain,
! [X0: $i,X1: $i] : member(unordered_pair(X1,X1),unordered_pair(X0,unordered_pair(X1,X1))),
inference(definition_unfolding,[],[f121,f12,f12]) ).
tff(f12,axiom,
! [X0: $i] : ( unordered_pair(X0,X0) = singleton(X0) ),
file('/export/starexec/sandbox/tmp/tmp.su5QFkuW7x/Vampire---4.8_19409',singleton_set) ).
tff(f121,axiom,
! [X0: $i,X1: $i] : member(singleton(X1),unordered_pair(X0,singleton(X1))),
file('/export/starexec/sandbox/tmp/tmp.su5QFkuW7x/Vampire---4.8_19409',corollary_1_to_singletons_are_sets) ).
tff(f193,plain,
~ member(unordered_pair(x,x),unordered_pair(unordered_pair(x,x),unordered_pair(x,x))),
inference(resolution,[],[f191,f170]) ).
tff(f170,plain,
! [X0: $i,X1: $i] : subclass(unordered_pair(X0,X0),unordered_pair(X0,X1)),
inference(definition_unfolding,[],[f109,f12]) ).
tff(f109,axiom,
! [X0: $i,X1: $i] : subclass(singleton(X0),unordered_pair(X0,X1)),
file('/export/starexec/sandbox/tmp/tmp.su5QFkuW7x/Vampire---4.8_19409',singleton_in_unordered_pair1) ).
tff(f191,plain,
! [X0: $i] :
( ~ subclass(X0,unordered_pair(unordered_pair(x,x),unordered_pair(x,unordered_pair(y,y))))
| ~ member(unordered_pair(x,x),X0) ),
inference(resolution,[],[f1,f148]) ).
tff(f148,plain,
~ member(unordered_pair(x,x),unordered_pair(unordered_pair(x,x),unordered_pair(x,unordered_pair(y,y)))),
inference(definition_unfolding,[],[f146,f12,f147]) ).
tff(f147,plain,
! [X0: $i,X1: $i] : ( ordered_pair(X0,X1) = unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))) ),
inference(definition_unfolding,[],[f13,f12,f12]) ).
tff(f13,axiom,
! [X0: $i,X1: $i] : ( unordered_pair(singleton(X0),unordered_pair(X0,singleton(X1))) = ordered_pair(X0,X1) ),
file('/export/starexec/sandbox/tmp/tmp.su5QFkuW7x/Vampire---4.8_19409',ordered_pair) ).
tff(f146,axiom,
~ member(singleton(x),ordered_pair(x,y)),
file('/export/starexec/sandbox/tmp/tmp.su5QFkuW7x/Vampire---4.8_19409',prove_singleton_member_of_ordered_pair_1) ).
tff(f1,axiom,
! [X2: $i,X0: $i,X1: $i] :
( member(X2,X1)
| ~ member(X2,X0)
| ~ subclass(X0,X1) ),
file('/export/starexec/sandbox/tmp/tmp.su5QFkuW7x/Vampire---4.8_19409',subclass_members) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SET101-7 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.03/0.14 % 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
% 0.14/0.35 % Computer : n016.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Fri May 3 16:19:08 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.14/0.35 This is a CNF_UNS_RFO_SEQ_NHN problem
% 0.14/0.36 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.su5QFkuW7x/Vampire---4.8_19409
% 0.58/0.75 % (19526)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 (2996ds/56Mi)
% 0.58/0.75 % (19526)Refutation not found, incomplete strategy% (19526)------------------------------
% 0.58/0.75 % (19526)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.58/0.75 % (19526)Termination reason: Refutation not found, incomplete strategy
% 0.58/0.75
% 0.58/0.75 % (19526)Memory used [KB]: 1065
% 0.58/0.75 % (19526)Time elapsed: 0.002 s
% 0.58/0.75 % (19526)Instructions burned: 2 (million)
% 0.58/0.75 % (19518)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 (2996ds/34Mi)
% 0.58/0.75 % (19520)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.58/0.75 % (19526)------------------------------
% 0.58/0.75 % (19526)------------------------------
% 0.58/0.75 % (19521)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on Vampire---4 for (2996ds/33Mi)
% 0.58/0.75 % (19519)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 (2996ds/51Mi)
% 0.58/0.75 % (19522)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 (2996ds/34Mi)
% 0.58/0.75 % (19523)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on Vampire---4 for (2996ds/45Mi)
% 0.58/0.75 % (19525)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 (2996ds/83Mi)
% 0.58/0.75 % (19523)Refutation not found, incomplete strategy% (19523)------------------------------
% 0.58/0.75 % (19523)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.58/0.75 % (19523)Termination reason: Refutation not found, incomplete strategy
% 0.58/0.75
% 0.58/0.75 % (19523)Memory used [KB]: 1065
% 0.58/0.75 % (19523)Time elapsed: 0.003 s
% 0.58/0.75 % (19523)Instructions burned: 2 (million)
% 0.58/0.75 % (19523)------------------------------
% 0.58/0.75 % (19523)------------------------------
% 0.58/0.75 % (19518)First to succeed.
% 0.58/0.75 % (19527)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 Vampire---4 for (2996ds/55Mi)
% 0.58/0.75 % (19518)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-19517"
% 0.58/0.76 % (19525)Also succeeded, but the first one will report.
% 0.58/0.76 % (19518)Refutation found. Thanks to Tanya!
% 0.58/0.76 % SZS status Unsatisfiable for Vampire---4
% 0.58/0.76 % SZS output start Proof for Vampire---4
% See solution above
% 0.58/0.76 % (19518)------------------------------
% 0.58/0.76 % (19518)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.58/0.76 % (19518)Termination reason: Refutation
% 0.58/0.76
% 0.58/0.76 % (19518)Memory used [KB]: 1111
% 0.58/0.76 % (19518)Time elapsed: 0.004 s
% 0.58/0.76 % (19518)Instructions burned: 4 (million)
% 0.58/0.76 % (19517)Success in time 0.393 s
% 0.58/0.76 % Vampire---4.8 exiting
%------------------------------------------------------------------------------