TSTP Solution File: SET094+1 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SET094+1 : TPTP v8.2.0. Bugfixed v7.3.0.
% 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 : n006.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 03:08:46 EDT 2024
% Result : Theorem 0.55s 0.75s
% Output : Refutation 0.55s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 4
% Syntax : Number of formulae : 22 ( 9 unt; 0 def)
% Number of atoms : 62 ( 38 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 59 ( 19 ~; 15 |; 20 &)
% ( 2 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-2 aty)
% Number of variables : 29 ( 23 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f739,plain,
$false,
inference(trivial_inequality_removal,[],[f737]) ).
fof(f737,plain,
sK7 != sK7,
inference(superposition,[],[f237,f668]) ).
fof(f668,plain,
sK7 = member_of(sK6),
inference(resolution,[],[f662,f236]) ).
fof(f236,plain,
member(sK7,sK6),
inference(cnf_transformation,[],[f143]) ).
fof(f143,plain,
( sK7 != member_of(sK6)
& member(sK7,sK6)
& sK6 = singleton(member_of(sK6)) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK6,sK7])],[f93,f142]) ).
fof(f142,plain,
( ? [X0,X1] :
( member_of(X0) != X1
& member(X1,X0)
& singleton(member_of(X0)) = X0 )
=> ( sK7 != member_of(sK6)
& member(sK7,sK6)
& sK6 = singleton(member_of(sK6)) ) ),
introduced(choice_axiom,[]) ).
fof(f93,plain,
? [X0,X1] :
( member_of(X0) != X1
& member(X1,X0)
& singleton(member_of(X0)) = X0 ),
inference(flattening,[],[f92]) ).
fof(f92,plain,
? [X0,X1] :
( member_of(X0) != X1
& member(X1,X0)
& singleton(member_of(X0)) = X0 ),
inference(ennf_transformation,[],[f49]) ).
fof(f49,negated_conjecture,
~ ! [X0,X1] :
( ( member(X1,X0)
& singleton(member_of(X0)) = X0 )
=> member_of(X0) = X1 ),
inference(negated_conjecture,[],[f48]) ).
fof(f48,conjecture,
! [X0,X1] :
( ( member(X1,X0)
& singleton(member_of(X0)) = X0 )
=> member_of(X0) = X1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',property_of_singletons1_1) ).
fof(f662,plain,
! [X0] :
( ~ member(X0,sK6)
| member_of(sK6) = X0 ),
inference(duplicate_literal_removal,[],[f661]) ).
fof(f661,plain,
! [X0] :
( ~ member(X0,sK6)
| member_of(sK6) = X0
| member_of(sK6) = X0 ),
inference(superposition,[],[f152,f278]) ).
fof(f278,plain,
sK6 = unordered_pair(member_of(sK6),member_of(sK6)),
inference(definition_unfolding,[],[f235,f156]) ).
fof(f156,plain,
! [X0] : singleton(X0) = unordered_pair(X0,X0),
inference(cnf_transformation,[],[f6]) ).
fof(f6,axiom,
! [X0] : singleton(X0) = unordered_pair(X0,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',singleton_set_defn) ).
fof(f235,plain,
sK6 = singleton(member_of(sK6)),
inference(cnf_transformation,[],[f143]) ).
fof(f152,plain,
! [X2,X0,X1] :
( ~ member(X0,unordered_pair(X1,X2))
| X0 = X1
| X0 = X2 ),
inference(cnf_transformation,[],[f101]) ).
fof(f101,plain,
! [X0,X1,X2] :
( ( member(X0,unordered_pair(X1,X2))
| ( X0 != X2
& X0 != X1 )
| ~ member(X0,universal_class) )
& ( ( ( X0 = X2
| X0 = X1 )
& member(X0,universal_class) )
| ~ member(X0,unordered_pair(X1,X2)) ) ),
inference(flattening,[],[f100]) ).
fof(f100,plain,
! [X0,X1,X2] :
( ( member(X0,unordered_pair(X1,X2))
| ( X0 != X2
& X0 != X1 )
| ~ member(X0,universal_class) )
& ( ( ( X0 = X2
| X0 = X1 )
& member(X0,universal_class) )
| ~ member(X0,unordered_pair(X1,X2)) ) ),
inference(nnf_transformation,[],[f50]) ).
fof(f50,plain,
! [X0,X1,X2] :
( member(X0,unordered_pair(X1,X2))
<=> ( ( X0 = X2
| X0 = X1 )
& member(X0,universal_class) ) ),
inference(rectify,[],[f4]) ).
fof(f4,axiom,
! [X2,X0,X1] :
( member(X2,unordered_pair(X0,X1))
<=> ( ( X1 = X2
| X0 = X2 )
& member(X2,universal_class) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unordered_pair_defn) ).
fof(f237,plain,
sK7 != member_of(sK6),
inference(cnf_transformation,[],[f143]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : SET094+1 : TPTP v8.2.0. Bugfixed v7.3.0.
% 0.07/0.14 % 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 : n006.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 : Mon May 20 13:15:38 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.14/0.35 This is a FOF_THM_RFO_SEQ 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/benchmark/theBenchmark.p
% 0.55/0.74 % (14969)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)
% 0.55/0.74 % (14971)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on theBenchmark for (2996ds/78Mi)
% 0.55/0.74 % (14972)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)
% 0.55/0.74 % (14970)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)
% 0.55/0.74 % (14973)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)
% 0.55/0.74 % (14974)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)
% 0.55/0.74 % (14975)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)
% 0.55/0.74 % (14976)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)
% 0.55/0.74 % (14972)Refutation not found, incomplete strategy% (14972)------------------------------
% 0.55/0.74 % (14972)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.55/0.74 % (14974)Refutation not found, incomplete strategy% (14974)------------------------------
% 0.55/0.74 % (14974)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.55/0.74 % (14974)Termination reason: Refutation not found, incomplete strategy
% 0.55/0.74
% 0.55/0.74 % (14974)Memory used [KB]: 1047
% 0.55/0.74 % (14974)Time elapsed: 0.003 s
% 0.55/0.74 % (14974)Instructions burned: 2 (million)
% 0.55/0.74 % (14972)Termination reason: Refutation not found, incomplete strategy
% 0.55/0.74
% 0.55/0.74 % (14972)Memory used [KB]: 1047
% 0.55/0.74 % (14972)Time elapsed: 0.003 s
% 0.55/0.74 % (14972)Instructions burned: 2 (million)
% 0.55/0.74 % (14974)------------------------------
% 0.55/0.74 % (14974)------------------------------
% 0.55/0.74 % (14975)Refutation not found, incomplete strategy% (14975)------------------------------
% 0.55/0.74 % (14975)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.55/0.74 % (14975)Termination reason: Refutation not found, incomplete strategy
% 0.55/0.74
% 0.55/0.74 % (14975)Memory used [KB]: 1046
% 0.55/0.74 % (14975)Time elapsed: 0.003 s
% 0.55/0.74 % (14975)Instructions burned: 2 (million)
% 0.55/0.74 % (14972)------------------------------
% 0.55/0.74 % (14972)------------------------------
% 0.55/0.74 % (14976)Refutation not found, incomplete strategy% (14976)------------------------------
% 0.55/0.74 % (14976)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.55/0.74 % (14976)Termination reason: Refutation not found, incomplete strategy
% 0.55/0.74
% 0.55/0.74 % (14976)Memory used [KB]: 1045
% 0.55/0.74 % (14976)Time elapsed: 0.003 s
% 0.55/0.74 % (14976)Instructions burned: 2 (million)
% 0.55/0.74 % (14975)------------------------------
% 0.55/0.74 % (14975)------------------------------
% 0.55/0.74 % (14976)------------------------------
% 0.55/0.74 % (14976)------------------------------
% 0.55/0.74 % (14977)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 theBenchmark for (2996ds/55Mi)
% 0.55/0.74 % (14979)lrs+1010_1:2_sil=4000:tgt=ground:nwc=10.0:st=2.0:i=208:sd=1:bd=off:ss=axioms_0 on theBenchmark for (2996ds/208Mi)
% 0.55/0.74 % (14978)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 theBenchmark for (2996ds/50Mi)
% 0.55/0.74 % (14980)lrs-1011_1:1_sil=4000:plsq=on:plsqr=32,1:sp=frequency:plsql=on:nwc=10.0:i=52:aac=none:afr=on:ss=axioms:er=filter:sgt=16:rawr=on:etr=on:lma=on_0 on theBenchmark for (2996ds/52Mi)
% 0.55/0.74 % (14977)Refutation not found, incomplete strategy% (14977)------------------------------
% 0.55/0.74 % (14977)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.55/0.75 % (14977)Termination reason: Refutation not found, incomplete strategy
% 0.55/0.75
% 0.55/0.75 % (14977)Memory used [KB]: 1048
% 0.55/0.75 % (14977)Time elapsed: 0.003 s
% 0.55/0.75 % (14977)Instructions burned: 2 (million)
% 0.55/0.75 % (14977)------------------------------
% 0.55/0.75 % (14977)------------------------------
% 0.55/0.75 % (14979)Refutation not found, incomplete strategy% (14979)------------------------------
% 0.55/0.75 % (14979)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.55/0.75 % (14979)Termination reason: Refutation not found, incomplete strategy
% 0.55/0.75
% 0.55/0.75 % (14979)Memory used [KB]: 1069
% 0.55/0.75 % (14979)Time elapsed: 0.004 s
% 0.55/0.75 % (14979)Instructions burned: 3 (million)
% 0.55/0.75 % (14979)------------------------------
% 0.55/0.75 % (14979)------------------------------
% 0.55/0.75 % (14981)lrs-1010_1:1_to=lpo:sil=2000:sp=reverse_arity:sos=on:urr=ec_only:i=518:sd=2:bd=off:ss=axioms:sgt=16_0 on theBenchmark for (2996ds/518Mi)
% 0.55/0.75 % (14982)lrs+1011_87677:1048576_sil=8000:sos=on:spb=non_intro:nwc=10.0:kmz=on:i=42:ep=RS:nm=0:ins=1:uhcvi=on:rawr=on:fde=unused:afp=2000:afq=1.444:plsq=on:nicw=on_0 on theBenchmark for (2996ds/42Mi)
% 0.55/0.75 % (14970)First to succeed.
% 0.55/0.75 % (14970)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-14968"
% 0.55/0.75 % (14970)Refutation found. Thanks to Tanya!
% 0.55/0.75 % SZS status Theorem for theBenchmark
% 0.55/0.75 % SZS output start Proof for theBenchmark
% See solution above
% 0.55/0.75 % (14970)------------------------------
% 0.55/0.75 % (14970)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.55/0.75 % (14970)Termination reason: Refutation
% 0.55/0.75
% 0.55/0.75 % (14970)Memory used [KB]: 1254
% 0.55/0.75 % (14970)Time elapsed: 0.016 s
% 0.55/0.75 % (14970)Instructions burned: 21 (million)
% 0.55/0.75 % (14968)Success in time 0.387 s
% 0.55/0.75 % Vampire---4.8 exiting
%------------------------------------------------------------------------------