TSTP Solution File: SET016+1 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SET016+1 : TPTP v8.1.2. Bugfixed v5.4.0.
% 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 : n024.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 09:02:51 EDT 2024
% Result : Theorem 0.72s 0.92s
% Output : Refutation 0.72s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 13
% Syntax : Number of formulae : 60 ( 15 unt; 0 def)
% Number of atoms : 143 ( 55 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 133 ( 50 ~; 49 |; 21 &)
% ( 9 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 10 ( 8 usr; 8 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 5 con; 0-2 aty)
% Number of variables : 58 ( 46 !; 12 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f617,plain,
$false,
inference(avatar_sat_refutation,[],[f336,f338,f508,f557,f580,f594,f602,f616]) ).
fof(f616,plain,
( spl10_28
| ~ spl10_31 ),
inference(avatar_split_clause,[],[f615,f577,f553]) ).
fof(f553,plain,
( spl10_28
<=> sK6 = sK8 ),
introduced(avatar_definition,[new_symbols(naming,[spl10_28])]) ).
fof(f577,plain,
( spl10_31
<=> member(sK6,unordered_pair(sK8,sK8)) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_31])]) ).
fof(f615,plain,
( sK6 = sK8
| ~ spl10_31 ),
inference(duplicate_literal_removal,[],[f613]) ).
fof(f613,plain,
( sK6 = sK8
| sK6 = sK8
| ~ spl10_31 ),
inference(resolution,[],[f579,f145]) ).
fof(f145,plain,
! [X2,X0,X1] :
( ~ member(X0,unordered_pair(X1,X2))
| X0 = X1
| X0 = X2 ),
inference(cnf_transformation,[],[f94]) ).
fof(f94,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,[],[f93]) ).
fof(f93,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,[],[f46]) ).
fof(f46,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/sandbox2/tmp/tmp.BcSuAfzWl9/Vampire---4.8_24850',unordered_pair_defn) ).
fof(f579,plain,
( member(sK6,unordered_pair(sK8,sK8))
| ~ spl10_31 ),
inference(avatar_component_clause,[],[f577]) ).
fof(f602,plain,
~ spl10_28,
inference(avatar_contradiction_clause,[],[f601]) ).
fof(f601,plain,
( $false
| ~ spl10_28 ),
inference(trivial_inequality_removal,[],[f595]) ).
fof(f595,plain,
( sK6 != sK6
| ~ spl10_28 ),
inference(superposition,[],[f226,f555]) ).
fof(f555,plain,
( sK6 = sK8
| ~ spl10_28 ),
inference(avatar_component_clause,[],[f553]) ).
fof(f226,plain,
sK6 != sK8,
inference(cnf_transformation,[],[f136]) ).
fof(f136,plain,
( sK6 != sK8
& member(sK6,universal_class)
& ordered_pair(sK6,sK7) = ordered_pair(sK8,sK9) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK6,sK7,sK8,sK9])],[f86,f135]) ).
fof(f135,plain,
( ? [X0,X1,X2,X3] :
( X0 != X2
& member(X0,universal_class)
& ordered_pair(X0,X1) = ordered_pair(X2,X3) )
=> ( sK6 != sK8
& member(sK6,universal_class)
& ordered_pair(sK6,sK7) = ordered_pair(sK8,sK9) ) ),
introduced(choice_axiom,[]) ).
fof(f86,plain,
? [X0,X1,X2,X3] :
( X0 != X2
& member(X0,universal_class)
& ordered_pair(X0,X1) = ordered_pair(X2,X3) ),
inference(flattening,[],[f85]) ).
fof(f85,plain,
? [X0,X1,X2,X3] :
( X0 != X2
& member(X0,universal_class)
& ordered_pair(X0,X1) = ordered_pair(X2,X3) ),
inference(ennf_transformation,[],[f70]) ).
fof(f70,plain,
~ ! [X0,X1,X2,X3] :
( ( member(X0,universal_class)
& ordered_pair(X0,X1) = ordered_pair(X2,X3) )
=> X0 = X2 ),
inference(rectify,[],[f45]) ).
fof(f45,negated_conjecture,
~ ! [X6,X0,X1,X4] :
( ( member(X6,universal_class)
& ordered_pair(X6,X0) = ordered_pair(X1,X4) )
=> X1 = X6 ),
inference(negated_conjecture,[],[f44]) ).
fof(f44,conjecture,
! [X6,X0,X1,X4] :
( ( member(X6,universal_class)
& ordered_pair(X6,X0) = ordered_pair(X1,X4) )
=> X1 = X6 ),
file('/export/starexec/sandbox2/tmp/tmp.BcSuAfzWl9/Vampire---4.8_24850',ordered_pair_determines_components1) ).
fof(f594,plain,
spl10_27,
inference(avatar_contradiction_clause,[],[f592]) ).
fof(f592,plain,
( $false
| spl10_27 ),
inference(resolution,[],[f551,f225]) ).
fof(f225,plain,
member(sK6,universal_class),
inference(cnf_transformation,[],[f136]) ).
fof(f551,plain,
( ~ member(sK6,universal_class)
| spl10_27 ),
inference(avatar_component_clause,[],[f549]) ).
fof(f549,plain,
( spl10_27
<=> member(sK6,universal_class) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_27])]) ).
fof(f580,plain,
( ~ spl10_27
| spl10_31
| ~ spl10_23 ),
inference(avatar_split_clause,[],[f570,f501,f577,f549]) ).
fof(f501,plain,
( spl10_23
<=> unordered_pair(sK6,unordered_pair(sK7,sK7)) = unordered_pair(sK8,sK8) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_23])]) ).
fof(f570,plain,
( member(sK6,unordered_pair(sK8,sK8))
| ~ member(sK6,universal_class)
| ~ spl10_23 ),
inference(superposition,[],[f268,f503]) ).
fof(f503,plain,
( unordered_pair(sK6,unordered_pair(sK7,sK7)) = unordered_pair(sK8,sK8)
| ~ spl10_23 ),
inference(avatar_component_clause,[],[f501]) ).
fof(f268,plain,
! [X2,X1] :
( member(X1,unordered_pair(X1,X2))
| ~ member(X1,universal_class) ),
inference(equality_resolution,[],[f146]) ).
fof(f146,plain,
! [X2,X0,X1] :
( member(X0,unordered_pair(X1,X2))
| X0 != X1
| ~ member(X0,universal_class) ),
inference(cnf_transformation,[],[f94]) ).
fof(f557,plain,
( ~ spl10_27
| spl10_28
| ~ spl10_24 ),
inference(avatar_split_clause,[],[f543,f505,f553,f549]) ).
fof(f505,plain,
( spl10_24
<=> unordered_pair(sK6,sK6) = unordered_pair(sK8,sK8) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_24])]) ).
fof(f543,plain,
( sK6 = sK8
| ~ member(sK6,universal_class)
| ~ spl10_24 ),
inference(resolution,[],[f516,f268]) ).
fof(f516,plain,
( ! [X0] :
( ~ member(X0,unordered_pair(sK6,sK6))
| sK8 = X0 )
| ~ spl10_24 ),
inference(duplicate_literal_removal,[],[f511]) ).
fof(f511,plain,
( ! [X0] :
( ~ member(X0,unordered_pair(sK6,sK6))
| sK8 = X0
| sK8 = X0 )
| ~ spl10_24 ),
inference(superposition,[],[f145,f507]) ).
fof(f507,plain,
( unordered_pair(sK6,sK6) = unordered_pair(sK8,sK8)
| ~ spl10_24 ),
inference(avatar_component_clause,[],[f505]) ).
fof(f508,plain,
( spl10_23
| spl10_24
| ~ spl10_6 ),
inference(avatar_split_clause,[],[f485,f333,f505,f501]) ).
fof(f333,plain,
( spl10_6
<=> member(unordered_pair(sK8,sK8),unordered_pair(unordered_pair(sK6,sK6),unordered_pair(sK6,unordered_pair(sK7,sK7)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_6])]) ).
fof(f485,plain,
( unordered_pair(sK6,sK6) = unordered_pair(sK8,sK8)
| unordered_pair(sK6,unordered_pair(sK7,sK7)) = unordered_pair(sK8,sK8)
| ~ spl10_6 ),
inference(resolution,[],[f145,f335]) ).
fof(f335,plain,
( member(unordered_pair(sK8,sK8),unordered_pair(unordered_pair(sK6,sK6),unordered_pair(sK6,unordered_pair(sK7,sK7))))
| ~ spl10_6 ),
inference(avatar_component_clause,[],[f333]) ).
fof(f338,plain,
spl10_5,
inference(avatar_contradiction_clause,[],[f337]) ).
fof(f337,plain,
( $false
| spl10_5 ),
inference(resolution,[],[f331,f148]) ).
fof(f148,plain,
! [X0,X1] : member(unordered_pair(X0,X1),universal_class),
inference(cnf_transformation,[],[f5]) ).
fof(f5,axiom,
! [X0,X1] : member(unordered_pair(X0,X1),universal_class),
file('/export/starexec/sandbox2/tmp/tmp.BcSuAfzWl9/Vampire---4.8_24850',unordered_pair) ).
fof(f331,plain,
( ~ member(unordered_pair(sK8,sK8),universal_class)
| spl10_5 ),
inference(avatar_component_clause,[],[f329]) ).
fof(f329,plain,
( spl10_5
<=> member(unordered_pair(sK8,sK8),universal_class) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_5])]) ).
fof(f336,plain,
( ~ spl10_5
| spl10_6 ),
inference(avatar_split_clause,[],[f327,f333,f329]) ).
fof(f327,plain,
( member(unordered_pair(sK8,sK8),unordered_pair(unordered_pair(sK6,sK6),unordered_pair(sK6,unordered_pair(sK7,sK7))))
| ~ member(unordered_pair(sK8,sK8),universal_class) ),
inference(superposition,[],[f268,f264]) ).
fof(f264,plain,
unordered_pair(unordered_pair(sK6,sK6),unordered_pair(sK6,unordered_pair(sK7,sK7))) = unordered_pair(unordered_pair(sK8,sK8),unordered_pair(sK8,unordered_pair(sK9,sK9))),
inference(definition_unfolding,[],[f224,f227,f227]) ).
fof(f227,plain,
! [X0,X1] : ordered_pair(X0,X1) = unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),
inference(definition_unfolding,[],[f150,f149,f149]) ).
fof(f149,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/sandbox2/tmp/tmp.BcSuAfzWl9/Vampire---4.8_24850',singleton_set_defn) ).
fof(f150,plain,
! [X0,X1] : ordered_pair(X0,X1) = unordered_pair(singleton(X0),unordered_pair(X0,singleton(X1))),
inference(cnf_transformation,[],[f7]) ).
fof(f7,axiom,
! [X0,X1] : ordered_pair(X0,X1) = unordered_pair(singleton(X0),unordered_pair(X0,singleton(X1))),
file('/export/starexec/sandbox2/tmp/tmp.BcSuAfzWl9/Vampire---4.8_24850',ordered_pair_defn) ).
fof(f224,plain,
ordered_pair(sK6,sK7) = ordered_pair(sK8,sK9),
inference(cnf_transformation,[],[f136]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : SET016+1 : TPTP v8.1.2. Bugfixed v5.4.0.
% 0.03/0.15 % 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
% 0.15/0.36 % Computer : n024.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Fri May 3 16:30:23 EDT 2024
% 0.15/0.36 % CPUTime :
% 0.15/0.36 This is a FOF_THM_RFO_SEQ problem
% 0.15/0.36 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.BcSuAfzWl9/Vampire---4.8_24850
% 0.72/0.91 % (25089)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2994ds/78Mi)
% 0.72/0.91 % (25087)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 (2994ds/34Mi)
% 0.72/0.91 % (25088)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 (2994ds/51Mi)
% 0.72/0.91 % (25090)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on Vampire---4 for (2994ds/33Mi)
% 0.72/0.91 % (25091)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 (2994ds/34Mi)
% 0.72/0.91 % (25092)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on Vampire---4 for (2994ds/45Mi)
% 0.72/0.91 % (25093)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 (2994ds/83Mi)
% 0.72/0.91 % (25094)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 (2994ds/56Mi)
% 0.72/0.91 % (25094)Refutation not found, incomplete strategy% (25094)------------------------------
% 0.72/0.91 % (25094)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.72/0.91 % (25089)Refutation not found, incomplete strategy% (25089)------------------------------
% 0.72/0.91 % (25089)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.72/0.91 % (25094)Termination reason: Refutation not found, incomplete strategy
% 0.72/0.91 % (25089)Termination reason: Refutation not found, incomplete strategy
% 0.72/0.91
% 0.72/0.91
% 0.72/0.91 % (25094)Memory used [KB]: 1037
% 0.72/0.91 % (25089)Memory used [KB]: 1052
% 0.72/0.91 % (25094)Time elapsed: 0.002 s
% 0.72/0.91 % (25089)Time elapsed: 0.003 s
% 0.72/0.91 % (25089)Instructions burned: 2 (million)
% 0.72/0.91 % (25094)Instructions burned: 2 (million)
% 0.72/0.91 % (25094)------------------------------
% 0.72/0.91 % (25094)------------------------------
% 0.72/0.91 % (25089)------------------------------
% 0.72/0.91 % (25089)------------------------------
% 0.72/0.91 % (25092)Refutation not found, incomplete strategy% (25092)------------------------------
% 0.72/0.91 % (25092)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.72/0.91 % (25092)Termination reason: Refutation not found, incomplete strategy
% 0.72/0.91
% 0.72/0.91 % (25092)Memory used [KB]: 1075
% 0.72/0.91 % (25092)Time elapsed: 0.004 s
% 0.72/0.91 % (25092)Instructions burned: 3 (million)
% 0.72/0.91 % (25092)------------------------------
% 0.72/0.91 % (25092)------------------------------
% 0.72/0.91 % (25095)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 (2994ds/55Mi)
% 0.72/0.91 % (25096)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 (2994ds/50Mi)
% 0.72/0.91 % (25097)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 (2994ds/208Mi)
% 0.72/0.91 % (25097)Refutation not found, incomplete strategy% (25097)------------------------------
% 0.72/0.91 % (25097)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.72/0.91 % (25097)Termination reason: Refutation not found, incomplete strategy
% 0.72/0.91
% 0.72/0.91 % (25097)Memory used [KB]: 1071
% 0.72/0.91 % (25097)Time elapsed: 0.004 s
% 0.72/0.91 % (25097)Instructions burned: 3 (million)
% 0.72/0.91 % (25097)------------------------------
% 0.72/0.91 % (25097)------------------------------
% 0.72/0.92 % (25088)First to succeed.
% 0.72/0.92 % (25088)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-25057"
% 0.72/0.92 % (25098)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 Vampire---4 for (2994ds/52Mi)
% 0.72/0.92 % (25088)Refutation found. Thanks to Tanya!
% 0.72/0.92 % SZS status Theorem for Vampire---4
% 0.72/0.92 % SZS output start Proof for Vampire---4
% See solution above
% 0.72/0.92 % (25088)------------------------------
% 0.72/0.92 % (25088)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.72/0.92 % (25088)Termination reason: Refutation
% 0.72/0.92
% 0.72/0.92 % (25088)Memory used [KB]: 1237
% 0.72/0.92 % (25088)Time elapsed: 0.013 s
% 0.72/0.92 % (25088)Instructions burned: 18 (million)
% 0.72/0.92 % (25057)Success in time 0.545 s
% 0.72/0.92 % Vampire---4.8 exiting
%------------------------------------------------------------------------------