TSTP Solution File: SEV421_1 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SEV421_1 : TPTP v8.1.2. Released v5.0.0.
% 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 : n014.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 03:57:40 EDT 2024
% Result : Theorem 0.60s 0.80s
% Output : Refutation 0.60s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 20
% Syntax : Number of formulae : 45 ( 3 unt; 15 typ; 0 def)
% Number of atoms : 92 ( 64 equ)
% Maximal formula atoms : 12 ( 3 avg)
% Number of connectives : 100 ( 38 ~; 27 |; 23 &)
% ( 6 <=>; 4 =>; 0 <=; 2 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number arithmetic : 35 ( 0 atm; 0 fun; 27 num; 8 var)
% Number of types : 4 ( 2 usr; 1 ari)
% Number of type conns : 14 ( 9 >; 5 *; 0 +; 0 <<)
% Number of predicates : 6 ( 4 usr; 3 prp; 0-2 aty)
% Number of functors : 12 ( 11 usr; 5 con; 0-2 aty)
% Number of variables : 28 ( 13 !; 15 ?; 28 :)
% Comments :
%------------------------------------------------------------------------------
tff(type_def_5,type,
set: $tType ).
tff(type_def_6,type,
element: $tType ).
tff(func_def_0,type,
empty_set: set ).
tff(func_def_1,type,
singleton: element > set ).
tff(func_def_2,type,
intersection: ( set * set ) > set ).
tff(func_def_3,type,
union: ( set * set ) > set ).
tff(func_def_4,type,
difference: ( set * set ) > set ).
tff(func_def_5,type,
complement: set > set ).
tff(func_def_6,type,
cardinality: set > $int ).
tff(func_def_11,type,
sK0: element ).
tff(func_def_12,type,
sK1: set ).
tff(func_def_13,type,
sK2: $int ).
tff(func_def_14,type,
sK3: set > element ).
tff(pred_def_1,type,
member: ( element * set ) > $o ).
tff(pred_def_2,type,
subset: ( set * set ) > $o ).
tff(f76,plain,
$false,
inference(avatar_sat_refutation,[],[f67,f68,f74,f75]) ).
tff(f75,plain,
( spl4_2
| ~ spl4_1 ),
inference(avatar_split_clause,[],[f71,f60,f64]) ).
tff(f64,plain,
( spl4_2
<=> ( empty_set = sK1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_2])]) ).
tff(f60,plain,
( spl4_1
<=> ( 0 = sK2 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_1])]) ).
tff(f71,plain,
( ( 0 != sK2 )
| ( empty_set = sK1 ) ),
inference(superposition,[],[f52,f45]) ).
tff(f45,plain,
sK2 = cardinality(sK1),
inference(cnf_transformation,[],[f35]) ).
tff(f35,plain,
( ( ( empty_set != sK1 )
| ( 0 != sK2 ) )
& ( ( empty_set = sK1 )
| ( 0 = sK2 ) )
& ( sK2 = cardinality(sK1) )
& ~ member(sK0,sK1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2])],[f33,f34]) ).
tff(f34,plain,
( ? [X0: element,X1: set,X2: $int] :
( ( ( empty_set != X1 )
| ( 0 != X2 ) )
& ( ( empty_set = X1 )
| ( 0 = X2 ) )
& ( cardinality(X1) = X2 )
& ~ member(X0,X1) )
=> ( ( ( empty_set != sK1 )
| ( 0 != sK2 ) )
& ( ( empty_set = sK1 )
| ( 0 = sK2 ) )
& ( sK2 = cardinality(sK1) )
& ~ member(sK0,sK1) ) ),
introduced(choice_axiom,[]) ).
tff(f33,plain,
? [X0: element,X1: set,X2: $int] :
( ( ( empty_set != X1 )
| ( 0 != X2 ) )
& ( ( empty_set = X1 )
| ( 0 = X2 ) )
& ( cardinality(X1) = X2 )
& ~ member(X0,X1) ),
inference(flattening,[],[f32]) ).
tff(f32,plain,
? [X0: element,X1: set,X2: $int] :
( ( ( empty_set != X1 )
| ( 0 != X2 ) )
& ( ( empty_set = X1 )
| ( 0 = X2 ) )
& ( cardinality(X1) = X2 )
& ~ member(X0,X1) ),
inference(nnf_transformation,[],[f31]) ).
tff(f31,plain,
? [X0: element,X1: set,X2: $int] :
( ( ( 0 = X2 )
<~> ( empty_set = X1 ) )
& ( cardinality(X1) = X2 )
& ~ member(X0,X1) ),
inference(flattening,[],[f30]) ).
tff(f30,plain,
? [X0: element,X1: set,X2: $int] :
( ( ( 0 = X2 )
<~> ( empty_set = X1 ) )
& ( cardinality(X1) = X2 )
& ~ member(X0,X1) ),
inference(ennf_transformation,[],[f27]) ).
tff(f27,plain,
~ ! [X0: element,X1: set,X2: $int] :
( ( ( cardinality(X1) = X2 )
& ~ member(X0,X1) )
=> ( ( 0 = X2 )
<=> ( empty_set = X1 ) ) ),
inference(rectify,[],[f14]) ).
tff(f14,negated_conjecture,
~ ! [X1: element,X6: set,X7: $int] :
( ( ( cardinality(X6) = X7 )
& ~ member(X1,X6) )
=> ( ( 0 = X7 )
<=> ( empty_set = X6 ) ) ),
inference(negated_conjecture,[],[f13]) ).
tff(f13,conjecture,
! [X1: element,X6: set,X7: $int] :
( ( ( cardinality(X6) = X7 )
& ~ member(X1,X6) )
=> ( ( 0 = X7 )
<=> ( empty_set = X6 ) ) ),
file('/export/starexec/sandbox/tmp/tmp.nCXmAQKwJb/Vampire---4.8_6804',vc1) ).
tff(f52,plain,
! [X0: set] :
( ( cardinality(X0) != 0 )
| ( empty_set = X0 ) ),
inference(cnf_transformation,[],[f41]) ).
tff(f41,plain,
! [X0: set] :
( ( ( cardinality(X0) = 0 )
| ( empty_set != X0 ) )
& ( ( empty_set = X0 )
| ( cardinality(X0) != 0 ) ) ),
inference(nnf_transformation,[],[f8]) ).
tff(f8,axiom,
! [X0: set] :
( ( cardinality(X0) = 0 )
<=> ( empty_set = X0 ) ),
file('/export/starexec/sandbox/tmp/tmp.nCXmAQKwJb/Vampire---4.8_6804',cardinality_empty_set) ).
tff(f74,plain,
( spl4_1
| ~ spl4_2 ),
inference(avatar_contradiction_clause,[],[f73]) ).
tff(f73,plain,
( $false
| spl4_1
| ~ spl4_2 ),
inference(subsumption_resolution,[],[f72,f62]) ).
tff(f62,plain,
( ( 0 != sK2 )
| spl4_1 ),
inference(avatar_component_clause,[],[f60]) ).
tff(f72,plain,
( ( 0 = sK2 )
| ~ spl4_2 ),
inference(forward_demodulation,[],[f70,f58]) ).
tff(f58,plain,
0 = cardinality(empty_set),
inference(equality_resolution,[],[f53]) ).
tff(f53,plain,
! [X0: set] :
( ( cardinality(X0) = 0 )
| ( empty_set != X0 ) ),
inference(cnf_transformation,[],[f41]) ).
tff(f70,plain,
( ( sK2 = cardinality(empty_set) )
| ~ spl4_2 ),
inference(superposition,[],[f45,f65]) ).
tff(f65,plain,
( ( empty_set = sK1 )
| ~ spl4_2 ),
inference(avatar_component_clause,[],[f64]) ).
tff(f68,plain,
( spl4_1
| spl4_2 ),
inference(avatar_split_clause,[],[f46,f64,f60]) ).
tff(f46,plain,
( ( empty_set = sK1 )
| ( 0 = sK2 ) ),
inference(cnf_transformation,[],[f35]) ).
tff(f67,plain,
( ~ spl4_1
| ~ spl4_2 ),
inference(avatar_split_clause,[],[f47,f64,f60]) ).
tff(f47,plain,
( ( empty_set != sK1 )
| ( 0 != sK2 ) ),
inference(cnf_transformation,[],[f35]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.10 % Problem : SEV421_1 : TPTP v8.1.2. Released v5.0.0.
% 0.05/0.11 % 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
% 0.10/0.31 % Computer : n014.cluster.edu
% 0.10/0.31 % Model : x86_64 x86_64
% 0.10/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31 % Memory : 8042.1875MB
% 0.10/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.31 % CPULimit : 300
% 0.10/0.31 % WCLimit : 300
% 0.10/0.31 % DateTime : Tue Apr 30 16:14:03 EDT 2024
% 0.10/0.31 % CPUTime :
% 0.10/0.31 This is a TF0_THM_EQU_ARI problem
% 0.16/0.31 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.nCXmAQKwJb/Vampire---4.8_6804
% 0.60/0.79 % (6918)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 (2995ds/34Mi)
% 0.60/0.79 % (6914)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 (2995ds/34Mi)
% 0.60/0.79 % (6916)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2995ds/78Mi)
% 0.60/0.79 % (6915)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 (2995ds/51Mi)
% 0.60/0.79 % (6917)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on Vampire---4 for (2995ds/33Mi)
% 0.60/0.79 % (6920)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 (2995ds/83Mi)
% 0.60/0.79 % (6921)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 (2995ds/56Mi)
% 0.60/0.79 % (6919)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on Vampire---4 for (2995ds/45Mi)
% 0.60/0.80 % (6921)Refutation not found, incomplete strategy% (6921)------------------------------
% 0.60/0.80 % (6921)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.60/0.80 % (6921)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.80
% 0.60/0.80 % (6921)Memory used [KB]: 1026
% 0.60/0.80 % (6921)Time elapsed: 0.003 s
% 0.60/0.80 % (6921)Instructions burned: 3 (million)
% 0.60/0.80 % (6921)------------------------------
% 0.60/0.80 % (6921)------------------------------
% 0.60/0.80 % (6919)First to succeed.
% 0.60/0.80 % (6917)Also succeeded, but the first one will report.
% 0.60/0.80 % (6914)Refutation not found, incomplete strategy% (6914)------------------------------
% 0.60/0.80 % (6914)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.60/0.80 % (6914)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.80
% 0.60/0.80 % (6914)Memory used [KB]: 1064
% 0.60/0.80 % (6914)Time elapsed: 0.005 s
% 0.60/0.80 % (6914)Instructions burned: 6 (million)
% 0.60/0.80 % (6914)------------------------------
% 0.60/0.80 % (6914)------------------------------
% 0.60/0.80 % (6919)Refutation found. Thanks to Tanya!
% 0.60/0.80 % SZS status Theorem for Vampire---4
% 0.60/0.80 % SZS output start Proof for Vampire---4
% See solution above
% 0.60/0.80 % (6919)------------------------------
% 0.60/0.80 % (6919)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.60/0.80 % (6919)Termination reason: Refutation
% 0.60/0.80
% 0.60/0.80 % (6919)Memory used [KB]: 1044
% 0.60/0.80 % (6919)Time elapsed: 0.004 s
% 0.60/0.80 % (6919)Instructions burned: 4 (million)
% 0.60/0.80 % (6919)------------------------------
% 0.60/0.80 % (6919)------------------------------
% 0.60/0.80 % (6913)Success in time 0.479 s
% 0.60/0.80 % Vampire---4.8 exiting
%------------------------------------------------------------------------------