TSTP Solution File: SET095+1 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SET095+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/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% Computer : n009.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 09:03:53 EDT 2024
% Result : Theorem 0.60s 0.78s
% Output : Refutation 0.60s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 5
% Syntax : Number of formulae : 25 ( 10 unt; 0 def)
% Number of atoms : 50 ( 14 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 38 ( 13 ~; 15 |; 3 &)
% ( 4 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 4 con; 0-2 aty)
% Number of variables : 39 ( 37 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f124,plain,
$false,
inference(subsumption_resolution,[],[f119,f50]) ).
fof(f50,plain,
member(sK0,sK1),
inference(cnf_transformation,[],[f48]) ).
fof(f48,plain,
? [X0,X1] :
( ~ subclass(singleton(X0),X1)
& member(X0,X1) ),
inference(ennf_transformation,[],[f45]) ).
fof(f45,negated_conjecture,
~ ! [X0,X1] :
( member(X0,X1)
=> subclass(singleton(X0),X1) ),
inference(negated_conjecture,[],[f44]) ).
fof(f44,conjecture,
! [X0,X1] :
( member(X0,X1)
=> subclass(singleton(X0),X1) ),
file('/export/starexec/sandbox/tmp/tmp.irKAQzT7xA/Vampire---4.8_25971',property_of_singletons2) ).
fof(f119,plain,
~ member(sK0,sK1),
inference(resolution,[],[f118,f76]) ).
fof(f76,plain,
~ subclass(unordered_pair(sK0,sK0),sK1),
inference(backward_demodulation,[],[f75,f60]) ).
fof(f60,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/tmp/tmp.irKAQzT7xA/Vampire---4.8_25971',singleton_set_defn) ).
fof(f75,plain,
~ subclass(singleton(sK0),sK1),
inference(backward_demodulation,[],[f74,f73]) ).
fof(f73,plain,
singleton(sK0) = sF3,
introduced(function_definition,[new_symbols(definition,[sF3])]) ).
fof(f74,plain,
~ subclass(sF3,sK1),
inference(definition_folding,[],[f51,f73]) ).
fof(f51,plain,
~ subclass(singleton(sK0),sK1),
inference(cnf_transformation,[],[f48]) ).
fof(f118,plain,
! [X0,X1] :
( subclass(unordered_pair(X0,X0),X1)
| ~ member(X0,X1) ),
inference(duplicate_literal_removal,[],[f115]) ).
fof(f115,plain,
! [X0,X1] :
( ~ member(X0,X1)
| subclass(unordered_pair(X0,X0),X1)
| subclass(unordered_pair(X0,X0),X1) ),
inference(superposition,[],[f58,f114]) ).
fof(f114,plain,
! [X0,X1] :
( sK2(unordered_pair(X0,X0),X1) = X0
| subclass(unordered_pair(X0,X0),X1) ),
inference(equality_resolution,[],[f110]) ).
fof(f110,plain,
! [X2,X0,X1] :
( X0 != X1
| sK2(unordered_pair(X0,X1),X2) = X0
| subclass(unordered_pair(X0,X1),X2) ),
inference(equality_factoring,[],[f93]) ).
fof(f93,plain,
! [X2,X0,X1] :
( sK2(unordered_pair(X0,X1),X2) = X1
| sK2(unordered_pair(X0,X1),X2) = X0
| subclass(unordered_pair(X0,X1),X2) ),
inference(resolution,[],[f64,f57]) ).
fof(f57,plain,
! [X0,X1] :
( member(sK2(X0,X1),X0)
| subclass(X0,X1) ),
inference(cnf_transformation,[],[f49]) ).
fof(f49,plain,
! [X0,X1] :
( subclass(X0,X1)
<=> ! [X2] :
( member(X2,X1)
| ~ member(X2,X0) ) ),
inference(ennf_transformation,[],[f1]) ).
fof(f1,axiom,
! [X0,X1] :
( subclass(X0,X1)
<=> ! [X2] :
( member(X2,X0)
=> member(X2,X1) ) ),
file('/export/starexec/sandbox/tmp/tmp.irKAQzT7xA/Vampire---4.8_25971',subclass_defn) ).
fof(f64,plain,
! [X2,X0,X1] :
( ~ member(X0,unordered_pair(X1,X2))
| X0 = X2
| X0 = X1 ),
inference(cnf_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/sandbox/tmp/tmp.irKAQzT7xA/Vampire---4.8_25971',unordered_pair_defn) ).
fof(f58,plain,
! [X0,X1] :
( ~ member(sK2(X0,X1),X1)
| subclass(X0,X1) ),
inference(cnf_transformation,[],[f49]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : SET095+1 : TPTP v8.1.2. Bugfixed v5.4.0.
% 0.12/0.15 % 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
% 0.14/0.36 % Computer : n009.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Fri May 3 16:41:38 EDT 2024
% 0.14/0.36 % CPUTime :
% 0.14/0.36 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/tmp/tmp.irKAQzT7xA/Vampire---4.8_25971
% 0.56/0.75 % (26089)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)
% 0.56/0.75 % (26089)Refutation not found, incomplete strategy% (26089)------------------------------
% 0.56/0.75 % (26089)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.56/0.75 % (26089)Termination reason: Refutation not found, incomplete strategy
% 0.56/0.75
% 0.56/0.75 % (26089)Memory used [KB]: 1038
% 0.56/0.75 % (26089)Time elapsed: 0.002 s
% 0.56/0.75 % (26089)Instructions burned: 2 (million)
% 0.56/0.75 % (26082)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)
% 0.56/0.75 % (26084)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.56/0.75 % (26089)------------------------------
% 0.56/0.75 % (26089)------------------------------
% 0.56/0.75 % (26085)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)
% 0.56/0.75 % (26086)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)
% 0.56/0.75 % (26083)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)
% 0.56/0.75 % (26087)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)
% 0.56/0.75 % (26088)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)
% 0.56/0.75 % (26087)Refutation not found, incomplete strategy% (26087)------------------------------
% 0.56/0.75 % (26087)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.56/0.75 % (26087)Termination reason: Refutation not found, incomplete strategy
% 0.56/0.75
% 0.56/0.75 % (26087)Memory used [KB]: 1038
% 0.56/0.75 % (26087)Time elapsed: 0.003 s
% 0.56/0.75 % (26087)Instructions burned: 2 (million)
% 0.56/0.76 % (26087)------------------------------
% 0.56/0.76 % (26087)------------------------------
% 0.56/0.76 % (26088)Refutation not found, incomplete strategy% (26088)------------------------------
% 0.56/0.76 % (26088)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.56/0.76 % (26088)Termination reason: Refutation not found, incomplete strategy
% 0.56/0.76
% 0.56/0.76 % (26088)Memory used [KB]: 1041
% 0.56/0.76 % (26088)Time elapsed: 0.003 s
% 0.56/0.76 % (26088)Instructions burned: 3 (million)
% 0.56/0.76 % (26090)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)
% 0.56/0.76 % (26088)------------------------------
% 0.56/0.76 % (26088)------------------------------
% 0.56/0.76 % (26090)Refutation not found, incomplete strategy% (26090)------------------------------
% 0.56/0.76 % (26090)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.56/0.76 % (26090)Termination reason: Refutation not found, incomplete strategy
% 0.56/0.76
% 0.56/0.76 % (26090)Memory used [KB]: 1043
% 0.56/0.76 % (26090)Time elapsed: 0.002 s
% 0.56/0.76 % (26090)Instructions burned: 3 (million)
% 0.56/0.76 % (26090)------------------------------
% 0.56/0.76 % (26090)------------------------------
% 0.60/0.76 % (26091)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)
% 0.60/0.76 % (26093)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 (2996ds/52Mi)
% 0.60/0.76 % (26092)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)
% 0.60/0.77 % (26085)Instruction limit reached!
% 0.60/0.77 % (26085)------------------------------
% 0.60/0.77 % (26085)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.77 % (26085)Termination reason: Unknown
% 0.60/0.77 % (26085)Termination phase: Saturation
% 0.60/0.77
% 0.60/0.77 % (26085)Memory used [KB]: 1137
% 0.60/0.77 % (26085)Time elapsed: 0.017 s
% 0.60/0.77 % (26085)Instructions burned: 33 (million)
% 0.60/0.77 % (26085)------------------------------
% 0.60/0.77 % (26085)------------------------------
% 0.60/0.77 % (26082)Instruction limit reached!
% 0.60/0.77 % (26082)------------------------------
% 0.60/0.77 % (26082)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.77 % (26082)Termination reason: Unknown
% 0.60/0.77 % (26082)Termination phase: Saturation
% 0.60/0.77
% 0.60/0.77 % (26082)Memory used [KB]: 1142
% 0.60/0.77 % (26082)Time elapsed: 0.019 s
% 0.60/0.77 % (26082)Instructions burned: 35 (million)
% 0.60/0.77 % (26082)------------------------------
% 0.60/0.77 % (26082)------------------------------
% 0.60/0.77 % (26086)Instruction limit reached!
% 0.60/0.77 % (26086)------------------------------
% 0.60/0.77 % (26086)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.77 % (26086)Termination reason: Unknown
% 0.60/0.77 % (26086)Termination phase: Saturation
% 0.60/0.77
% 0.60/0.77 % (26086)Memory used [KB]: 1476
% 0.60/0.77 % (26086)Time elapsed: 0.021 s
% 0.60/0.77 % (26086)Instructions burned: 35 (million)
% 0.60/0.77 % (26094)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 Vampire---4 for (2996ds/518Mi)
% 0.60/0.77 % (26086)------------------------------
% 0.60/0.77 % (26086)------------------------------
% 0.60/0.77 % (26093)Instruction limit reached!
% 0.60/0.77 % (26093)------------------------------
% 0.60/0.77 % (26093)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.77 % (26093)Termination reason: Unknown
% 0.60/0.77 % (26093)Termination phase: Saturation
% 0.60/0.77
% 0.60/0.77 % (26093)Memory used [KB]: 1495
% 0.60/0.77 % (26093)Time elapsed: 0.016 s
% 0.60/0.77 % (26093)Instructions burned: 52 (million)
% 0.60/0.77 % (26093)------------------------------
% 0.60/0.77 % (26093)------------------------------
% 0.60/0.77 % (26095)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 Vampire---4 for (2995ds/42Mi)
% 0.60/0.78 % (26096)dis+1011_1258907:1048576_bsr=unit_only:to=lpo:drc=off:sil=2000:tgt=full:fde=none:sp=frequency:spb=goal:rnwc=on:nwc=6.70083:sac=on:newcnf=on:st=2:i=243:bs=unit_only:sd=3:afp=300:awrs=decay:awrsf=218:nm=16:ins=3:afq=3.76821:afr=on:ss=axioms:sgt=5:rawr=on:add=off:bsd=on_0 on Vampire---4 for (2995ds/243Mi)
% 0.60/0.78 % (26097)lrs+1011_2:9_sil=2000:lsd=10:newcnf=on:i=117:sd=2:awrs=decay:ss=included:amm=off:ep=R_0 on Vampire---4 for (2995ds/117Mi)
% 0.60/0.78 % (26094)Refutation not found, incomplete strategy% (26094)------------------------------
% 0.60/0.78 % (26094)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.78 % (26094)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.78
% 0.60/0.78 % (26094)Memory used [KB]: 1138
% 0.60/0.78 % (26094)Time elapsed: 0.007 s
% 0.60/0.78 % (26094)Instructions burned: 8 (million)
% 0.60/0.78 % (26094)------------------------------
% 0.60/0.78 % (26094)------------------------------
% 0.60/0.78 % (26096)First to succeed.
% 0.60/0.78 % (26098)dis+1011_11:1_sil=2000:avsq=on:i=143:avsqr=1,16:ep=RS:rawr=on:aac=none:lsd=100:mep=off:fde=none:newcnf=on:bsr=unit_only_0 on Vampire---4 for (2995ds/143Mi)
% 0.60/0.78 % (26096)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-26081"
% 0.60/0.78 % (26096)Refutation found. Thanks to Tanya!
% 0.60/0.78 % SZS status Theorem for Vampire---4
% 0.60/0.78 % SZS output start Proof for Vampire---4
% See solution above
% 0.60/0.78 % (26096)------------------------------
% 0.60/0.78 % (26096)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.78 % (26096)Termination reason: Refutation
% 0.60/0.78
% 0.60/0.78 % (26096)Memory used [KB]: 1083
% 0.60/0.78 % (26096)Time elapsed: 0.006 s
% 0.60/0.78 % (26096)Instructions burned: 7 (million)
% 0.60/0.78 % (26081)Success in time 0.412 s
% 0.60/0.78 % Vampire---4.8 exiting
%------------------------------------------------------------------------------