TSTP Solution File: SET131-6 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SET131-6 : 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 : 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 09:04:16 EDT 2024
% Result : Unsatisfiable 0.59s 0.76s
% Output : Refutation 0.59s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 13
% Syntax : Number of formulae : 31 ( 9 unt; 0 def)
% Number of atoms : 56 ( 4 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 52 ( 27 ~; 22 |; 0 &)
% ( 3 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 11 ( 3 avg)
% Number of predicates : 6 ( 4 usr; 4 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 5 con; 0-2 aty)
% Number of variables : 19 ( 19 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f319,plain,
$false,
inference(avatar_sat_refutation,[],[f293,f296,f310,f318]) ).
fof(f318,plain,
( ~ spl0_19
| ~ spl0_21 ),
inference(avatar_split_clause,[],[f315,f307,f286]) ).
fof(f286,plain,
( spl0_19
<=> member(u,universal_class) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_19])]) ).
fof(f307,plain,
( spl0_21
<=> member(u,intersection(complement(unordered_pair(u,u)),complement(complement(intersection(complement(unordered_pair(z,z)),complement(null_class)))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_21])]) ).
fof(f315,plain,
( ~ member(u,universal_class)
| ~ spl0_21 ),
inference(resolution,[],[f313,f10]) ).
fof(f10,axiom,
! [X0,X1] :
( member(X1,unordered_pair(X0,X1))
| ~ member(X1,universal_class) ),
file('/export/starexec/sandbox/tmp/tmp.Pn6EV93bEI/Vampire---4.8_17327',unordered_pair3) ).
fof(f313,plain,
( ~ member(u,unordered_pair(u,u))
| ~ spl0_21 ),
inference(resolution,[],[f312,f24]) ).
fof(f24,axiom,
! [X0,X4] :
( ~ member(X4,complement(X0))
| ~ member(X4,X0) ),
file('/export/starexec/sandbox/tmp/tmp.Pn6EV93bEI/Vampire---4.8_17327',complement1) ).
fof(f312,plain,
( member(u,complement(unordered_pair(u,u)))
| ~ spl0_21 ),
inference(resolution,[],[f309,f21]) ).
fof(f21,axiom,
! [X0,X1,X4] :
( ~ member(X4,intersection(X0,X1))
| member(X4,X0) ),
file('/export/starexec/sandbox/tmp/tmp.Pn6EV93bEI/Vampire---4.8_17327',intersection1) ).
fof(f309,plain,
( member(u,intersection(complement(unordered_pair(u,u)),complement(complement(intersection(complement(unordered_pair(z,z)),complement(null_class))))))
| ~ spl0_21 ),
inference(avatar_component_clause,[],[f307]) ).
fof(f310,plain,
( ~ spl0_19
| spl0_21
| ~ spl0_20 ),
inference(avatar_split_clause,[],[f304,f290,f307,f286]) ).
fof(f290,plain,
( spl0_20
<=> member(u,intersection(complement(unordered_pair(x,x)),complement(complement(intersection(complement(unordered_pair(u,u)),complement(complement(intersection(complement(unordered_pair(z,z)),complement(null_class))))))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_20])]) ).
fof(f304,plain,
( member(u,intersection(complement(unordered_pair(u,u)),complement(complement(intersection(complement(unordered_pair(z,z)),complement(null_class))))))
| ~ member(u,universal_class)
| ~ spl0_20 ),
inference(resolution,[],[f303,f25]) ).
fof(f25,axiom,
! [X0,X4] :
( member(X4,complement(X0))
| member(X4,X0)
| ~ member(X4,universal_class) ),
file('/export/starexec/sandbox/tmp/tmp.Pn6EV93bEI/Vampire---4.8_17327',complement2) ).
fof(f303,plain,
( ~ member(u,complement(intersection(complement(unordered_pair(u,u)),complement(complement(intersection(complement(unordered_pair(z,z)),complement(null_class)))))))
| ~ spl0_20 ),
inference(resolution,[],[f297,f24]) ).
fof(f297,plain,
( member(u,complement(complement(intersection(complement(unordered_pair(u,u)),complement(complement(intersection(complement(unordered_pair(z,z)),complement(null_class))))))))
| ~ spl0_20 ),
inference(resolution,[],[f292,f22]) ).
fof(f22,axiom,
! [X0,X1,X4] :
( ~ member(X4,intersection(X0,X1))
| member(X4,X1) ),
file('/export/starexec/sandbox/tmp/tmp.Pn6EV93bEI/Vampire---4.8_17327',intersection2) ).
fof(f292,plain,
( member(u,intersection(complement(unordered_pair(x,x)),complement(complement(intersection(complement(unordered_pair(u,u)),complement(complement(intersection(complement(unordered_pair(z,z)),complement(null_class)))))))))
| ~ spl0_20 ),
inference(avatar_component_clause,[],[f290]) ).
fof(f296,plain,
spl0_19,
inference(avatar_contradiction_clause,[],[f294]) ).
fof(f294,plain,
( $false
| spl0_19 ),
inference(resolution,[],[f288,f93]) ).
fof(f93,axiom,
member(u,universal_class),
file('/export/starexec/sandbox/tmp/tmp.Pn6EV93bEI/Vampire---4.8_17327',prove_member_of_triple2_1) ).
fof(f288,plain,
( ~ member(u,universal_class)
| spl0_19 ),
inference(avatar_component_clause,[],[f286]) ).
fof(f293,plain,
( ~ spl0_19
| spl0_20 ),
inference(avatar_split_clause,[],[f281,f290,f286]) ).
fof(f281,plain,
( member(u,intersection(complement(unordered_pair(x,x)),complement(complement(intersection(complement(unordered_pair(u,u)),complement(complement(intersection(complement(unordered_pair(z,z)),complement(null_class)))))))))
| ~ member(u,universal_class) ),
inference(resolution,[],[f25,f144]) ).
fof(f144,plain,
~ member(u,complement(intersection(complement(unordered_pair(x,x)),complement(complement(intersection(complement(unordered_pair(u,u)),complement(complement(intersection(complement(unordered_pair(z,z)),complement(null_class)))))))))),
inference(definition_unfolding,[],[f94,f100,f100,f100]) ).
fof(f100,plain,
! [X0,X1] : set_builder(X0,X1) = complement(intersection(complement(unordered_pair(X0,X0)),complement(X1))),
inference(definition_unfolding,[],[f92,f26,f12]) ).
fof(f12,axiom,
! [X0] : unordered_pair(X0,X0) = singleton(X0),
file('/export/starexec/sandbox/tmp/tmp.Pn6EV93bEI/Vampire---4.8_17327',singleton_set) ).
fof(f26,axiom,
! [X0,X1] : complement(intersection(complement(X0),complement(X1))) = union(X0,X1),
file('/export/starexec/sandbox/tmp/tmp.Pn6EV93bEI/Vampire---4.8_17327',union) ).
fof(f92,axiom,
! [X0,X1] : union(singleton(X0),X1) = set_builder(X0,X1),
file('/export/starexec/sandbox/tmp/tmp.Pn6EV93bEI/Vampire---4.8_17327',definition_of_set_builder) ).
fof(f94,axiom,
~ member(u,set_builder(x,set_builder(u,set_builder(z,null_class)))),
file('/export/starexec/sandbox/tmp/tmp.Pn6EV93bEI/Vampire---4.8_17327',prove_member_of_triple2_2) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : SET131-6 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.03/0.15 % 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
% 0.16/0.36 % Computer : n016.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 : Fri May 3 17:01:38 EDT 2024
% 0.16/0.36 % CPUTime :
% 0.16/0.36 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/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t 300 /export/starexec/sandbox/tmp/tmp.Pn6EV93bEI/Vampire---4.8_17327
% 0.59/0.75 % (17595)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)
% 0.59/0.75 % (17598)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)
% 0.59/0.75 % (17600)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)
% 0.59/0.75 % (17599)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)
% 0.59/0.75 % (17597)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.59/0.75 % (17596)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)
% 0.59/0.75 % (17601)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)
% 0.59/0.75 % (17602)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)
% 0.59/0.75 % (17598)Refutation not found, incomplete strategy% (17598)------------------------------
% 0.59/0.75 % (17598)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.59/0.75 % (17598)Termination reason: Refutation not found, incomplete strategy
% 0.59/0.75
% 0.59/0.75 % (17598)Memory used [KB]: 1054
% 0.59/0.75 % (17598)Time elapsed: 0.003 s
% 0.59/0.75 % (17598)Instructions burned: 2 (million)
% 0.59/0.75 % (17602)Refutation not found, incomplete strategy% (17602)------------------------------
% 0.59/0.75 % (17602)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.59/0.75 % (17602)Termination reason: Refutation not found, incomplete strategy
% 0.59/0.75
% 0.59/0.75 % (17602)Memory used [KB]: 1054
% 0.59/0.75 % (17602)Time elapsed: 0.003 s
% 0.59/0.75 % (17602)Instructions burned: 2 (million)
% 0.59/0.75 % (17598)------------------------------
% 0.59/0.75 % (17598)------------------------------
% 0.59/0.75 % (17602)------------------------------
% 0.59/0.75 % (17602)------------------------------
% 0.59/0.75 % (17595)Refutation not found, incomplete strategy% (17595)------------------------------
% 0.59/0.75 % (17595)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.59/0.75 % (17595)Termination reason: Refutation not found, incomplete strategy
% 0.59/0.75
% 0.59/0.75 % (17595)Memory used [KB]: 1102
% 0.59/0.75 % (17595)Time elapsed: 0.004 s
% 0.59/0.75 % (17595)Instructions burned: 6 (million)
% 0.59/0.75 % (17595)------------------------------
% 0.59/0.75 % (17595)------------------------------
% 0.59/0.75 % (17604)dis+3_25:4_sil=16000:sos=all:erd=off:i=50:s2at=4.0:bd=off:nm=60:sup=off:cond=on:av=off:ins=2:nwc=10.0:etr=on:to=lpo:s2agt=20:fd=off:bsr=unit_only:slsq=on:slsqr=28,19:awrs=converge:awrsf=500:tgt=ground:bs=unit_only_0 on Vampire---4 for (2996ds/50Mi)
% 0.59/0.75 % (17603)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)
% 0.59/0.75 % (17603)Refutation not found, incomplete strategy% (17603)------------------------------
% 0.59/0.75 % (17603)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.59/0.75 % (17603)Termination reason: Refutation not found, incomplete strategy
% 0.59/0.75
% 0.59/0.75 % (17603)Memory used [KB]: 1053
% 0.59/0.75 % (17603)Time elapsed: 0.003 s
% 0.59/0.75 % (17603)Instructions burned: 2 (million)
% 0.59/0.75 % (17603)------------------------------
% 0.59/0.75 % (17603)------------------------------
% 0.59/0.75 % (17605)lrs+1010_1:2_sil=4000:tgt=ground:nwc=10.0:st=2.0:i=208:sd=1:bd=off:ss=axioms_0 on Vampire---4 for (2996ds/208Mi)
% 0.59/0.75 % (17596)First to succeed.
% 0.59/0.76 % (17596)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-17585"
% 0.59/0.76 % (17605)Refutation not found, incomplete strategy% (17605)------------------------------
% 0.59/0.76 % (17605)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.59/0.76 % (17605)Termination reason: Refutation not found, incomplete strategy
% 0.59/0.76 % (17596)Refutation found. Thanks to Tanya!
% 0.59/0.76 % SZS status Unsatisfiable for Vampire---4
% 0.59/0.76 % SZS output start Proof for Vampire---4
% See solution above
% 0.59/0.76 % (17596)------------------------------
% 0.59/0.76 % (17596)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.59/0.76 % (17596)Termination reason: Refutation
% 0.59/0.76
% 0.59/0.76 % (17596)Memory used [KB]: 1229
% 0.59/0.76 % (17596)Time elapsed: 0.011 s
% 0.59/0.76 % (17596)Instructions burned: 15 (million)
% 0.59/0.76 % (17585)Success in time 0.386 s
% 0.59/0.76 % Vampire---4.8 exiting
%------------------------------------------------------------------------------