TSTP Solution File: SET090-7 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SET090-7 : 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/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 : Wed May 1 03:44:56 EDT 2024
% Result : Unsatisfiable 0.55s 0.76s
% Output : Refutation 0.55s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 8
% Syntax : Number of formulae : 22 ( 9 unt; 1 typ; 0 def)
% Number of atoms : 125 ( 10 equ)
% Maximal formula atoms : 3 ( 5 avg)
% Number of connectives : 32 ( 17 ~; 13 |; 0 &)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of FOOLs : 89 ( 89 fml; 0 var)
% Number of types : 2 ( 0 usr)
% Number of type conns : 2 ( 1 >; 1 *; 0 +; 0 <<)
% Number of predicates : 10 ( 8 usr; 4 prp; 0-3 aty)
% Number of functors : 0 ( 0 usr; 0 con; --- aty)
% Number of variables : 15 ( 14 !; 0 ?; 15 :)
% ( 1 !>; 0 ?*; 0 @-; 0 @+)
% Comments :
%------------------------------------------------------------------------------
tff(pred_def_10,type,
sQ0_eqProxy:
!>[X0: $tType] : ( ( X0 * X0 ) > $o ) ).
tff(f288,plain,
$false,
inference(avatar_sat_refutation,[],[f286,f287]) ).
tff(f287,plain,
~ spl1_3,
inference(avatar_split_clause,[],[f280,f248]) ).
tff(f248,plain,
( spl1_3
<=> sQ0_eqProxy($i,unordered_pair(u,u),unordered_pair(member_of(unordered_pair(u,u)),member_of(unordered_pair(u,u)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_3])]) ).
tff(f280,plain,
~ sQ0_eqProxy($i,unordered_pair(u,u),unordered_pair(member_of(unordered_pair(u,u)),member_of(unordered_pair(u,u)))),
inference(resolution,[],[f276,f166]) ).
tff(f166,plain,
~ sQ0_eqProxy($i,u,member_of(unordered_pair(u,u))),
inference(equality_proxy_replacement,[],[f137,f165]) ).
tff(f165,plain,
! [X0: $tType,X2: X0,X1: X0] :
( sQ0_eqProxy(X0,X1,X2)
<=> ( X1 = X2 ) ),
introduced(equality_proxy_definition,[new_symbols(naming,[sQ0_eqProxy])]) ).
tff(f137,plain,
u != member_of(unordered_pair(u,u)),
inference(definition_unfolding,[],[f135,f12]) ).
tff(f12,axiom,
! [X0: $i] : ( unordered_pair(X0,X0) = singleton(X0) ),
file('/export/starexec/sandbox2/tmp/tmp.bvooCtfs5c/Vampire---4.8_5942',singleton_set) ).
tff(f135,axiom,
u != member_of(singleton(u)),
file('/export/starexec/sandbox2/tmp/tmp.bvooCtfs5c/Vampire---4.8_5942',prove_member_of_singleton_is_unique_2) ).
tff(f276,plain,
! [X0: $i] :
( sQ0_eqProxy($i,u,X0)
| ~ sQ0_eqProxy($i,unordered_pair(u,u),unordered_pair(X0,X0)) ),
inference(resolution,[],[f169,f134]) ).
tff(f134,axiom,
member(u,universal_class),
file('/export/starexec/sandbox2/tmp/tmp.bvooCtfs5c/Vampire---4.8_5942',prove_member_of_singleton_is_unique_1) ).
tff(f169,plain,
! [X0: $i,X1: $i] :
( ~ member(X0,universal_class)
| sQ0_eqProxy($i,X0,X1)
| ~ sQ0_eqProxy($i,unordered_pair(X0,X0),unordered_pair(X1,X1)) ),
inference(equality_proxy_replacement,[],[f140,f165]) ).
tff(f140,plain,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ~ member(X0,universal_class)
| ( unordered_pair(X0,X0) != unordered_pair(X1,X1) ) ),
inference(definition_unfolding,[],[f127,f12,f12]) ).
tff(f127,axiom,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ~ member(X0,universal_class)
| ( singleton(X0) != singleton(X1) ) ),
file('/export/starexec/sandbox2/tmp/tmp.bvooCtfs5c/Vampire---4.8_5942',singleton_identified_by_element1) ).
tff(f286,plain,
spl1_3,
inference(avatar_contradiction_clause,[],[f285]) ).
tff(f285,plain,
( $false
| spl1_3 ),
inference(subsumption_resolution,[],[f284,f134]) ).
tff(f284,plain,
( ~ member(u,universal_class)
| spl1_3 ),
inference(resolution,[],[f187,f250]) ).
tff(f250,plain,
( ~ sQ0_eqProxy($i,unordered_pair(u,u),unordered_pair(member_of(unordered_pair(u,u)),member_of(unordered_pair(u,u))))
| spl1_3 ),
inference(avatar_component_clause,[],[f248]) ).
tff(f187,plain,
! [X1: $i] :
( sQ0_eqProxy($i,unordered_pair(X1,X1),unordered_pair(member_of(unordered_pair(X1,X1)),member_of(unordered_pair(X1,X1))))
| ~ member(X1,universal_class) ),
inference(equality_proxy_replacement,[],[f161,f165]) ).
tff(f161,plain,
! [X1: $i] :
( ( unordered_pair(X1,X1) = unordered_pair(member_of(unordered_pair(X1,X1)),member_of(unordered_pair(X1,X1))) )
| ~ member(X1,universal_class) ),
inference(definition_unfolding,[],[f131,f12,f12,f12]) ).
tff(f131,axiom,
! [X1: $i] :
( ( singleton(X1) = singleton(member_of(singleton(X1))) )
| ~ member(X1,universal_class) ),
file('/export/starexec/sandbox2/tmp/tmp.bvooCtfs5c/Vampire---4.8_5942',member_exists2) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.13 % Problem : SET090-7 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.11/0.15 % 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
% 0.16/0.36 % Computer : n025.cluster.edu
% 0.16/0.36 % Model : x86_64 x86_64
% 0.16/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.36 % Memory : 8042.1875MB
% 0.16/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.36 % CPULimit : 300
% 0.16/0.36 % WCLimit : 300
% 0.16/0.36 % DateTime : Tue Apr 30 17:31:11 EDT 2024
% 0.16/0.36 % CPUTime :
% 0.16/0.36 This is a CNF_UNS_RFO_SEQ_NHN problem
% 0.16/0.36 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/tmp/tmp.bvooCtfs5c/Vampire---4.8_5942
% 0.55/0.75 % (6127)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)
% 0.55/0.75 % (6134)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)
% 0.55/0.75 % (6134)Refutation not found, incomplete strategy% (6134)------------------------------
% 0.55/0.75 % (6134)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.55/0.75 % (6134)Termination reason: Refutation not found, incomplete strategy
% 0.55/0.75
% 0.55/0.75 % (6134)Memory used [KB]: 1065
% 0.55/0.75 % (6134)Time elapsed: 0.001 s
% 0.55/0.75 % (6134)Instructions burned: 2 (million)
% 0.55/0.75 % (6134)------------------------------
% 0.55/0.75 % (6134)------------------------------
% 0.55/0.75 % (6129)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.55/0.75 % (6128)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)
% 0.55/0.75 % (6130)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)
% 0.55/0.75 % (6131)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)
% 0.55/0.75 % (6132)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)
% 0.55/0.75 % (6133)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)
% 0.55/0.75 % (6127)First to succeed.
% 0.55/0.75 % (6132)Refutation not found, incomplete strategy% (6132)------------------------------
% 0.55/0.75 % (6132)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.55/0.75 % (6132)Termination reason: Refutation not found, incomplete strategy
% 0.55/0.75
% 0.55/0.75 % (6132)Memory used [KB]: 1063
% 0.55/0.75 % (6132)Time elapsed: 0.003 s
% 0.55/0.75 % (6132)Instructions burned: 2 (million)
% 0.55/0.75 % (6132)------------------------------
% 0.55/0.75 % (6132)------------------------------
% 0.55/0.76 % (6130)Also succeeded, but the first one will report.
% 0.55/0.76 % (6135)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)
% 0.55/0.76 % (6127)Refutation found. Thanks to Tanya!
% 0.55/0.76 % SZS status Unsatisfiable for Vampire---4
% 0.55/0.76 % SZS output start Proof for Vampire---4
% See solution above
% 0.55/0.76 % (6127)------------------------------
% 0.55/0.76 % (6127)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.55/0.76 % (6127)Termination reason: Refutation
% 0.55/0.76
% 0.55/0.76 % (6127)Memory used [KB]: 1121
% 0.55/0.76 % (6127)Time elapsed: 0.004 s
% 0.55/0.76 % (6127)Instructions burned: 8 (million)
% 0.55/0.76 % (6127)------------------------------
% 0.55/0.76 % (6127)------------------------------
% 0.55/0.76 % (6117)Success in time 0.388 s
% 0.55/0.76 % Vampire---4.8 exiting
%------------------------------------------------------------------------------