TSTP Solution File: KRS200+1 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : KRS200+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 : n027.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 07:18:12 EDT 2024
% Result : Theorem 0.60s 0.76s
% Output : Refutation 0.60s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 13
% Syntax : Number of formulae : 42 ( 11 unt; 0 def)
% Number of atoms : 116 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 130 ( 56 ~; 34 |; 24 &)
% ( 6 <=>; 10 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 9 ( 9 usr; 6 con; 0-2 aty)
% Number of variables : 112 ( 76 !; 36 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f139,plain,
$false,
inference(resolution,[],[f119,f98]) ).
fof(f98,plain,
model(sK19,sK17),
inference(cnf_transformation,[],[f75]) ).
fof(f75,plain,
( ~ model(sK18,sK17)
& model(sK19,sK17) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK17,sK18,sK19])],[f41,f74,f73,f72]) ).
fof(f72,plain,
( ? [X0] :
( ? [X1] : ~ model(X1,X0)
& ? [X2] : model(X2,X0) )
=> ( ? [X1] : ~ model(X1,sK17)
& ? [X2] : model(X2,sK17) ) ),
introduced(choice_axiom,[]) ).
fof(f73,plain,
( ? [X1] : ~ model(X1,sK17)
=> ~ model(sK18,sK17) ),
introduced(choice_axiom,[]) ).
fof(f74,plain,
( ? [X2] : model(X2,sK17)
=> model(sK19,sK17) ),
introduced(choice_axiom,[]) ).
fof(f41,plain,
? [X0] :
( ? [X1] : ~ model(X1,X0)
& ? [X2] : model(X2,X0) ),
inference(rectify,[],[f28]) ).
fof(f28,axiom,
? [X9] :
( ? [X3] : ~ model(X3,X9)
& ? [X2] : model(X2,X9) ),
file('/export/starexec/sandbox2/tmp/tmp.Ofv1o4mV4d/Vampire---4.8_28035',satisfiable) ).
fof(f119,plain,
! [X0,X1] : ~ model(X0,X1),
inference(resolution,[],[f116,f97]) ).
fof(f97,plain,
! [X1] : ~ model(X1,sK16),
inference(cnf_transformation,[],[f71]) ).
fof(f71,plain,
! [X1] : ~ model(X1,sK16),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK16])],[f40,f70]) ).
fof(f70,plain,
( ? [X0] :
! [X1] : ~ model(X1,X0)
=> ! [X1] : ~ model(X1,sK16) ),
introduced(choice_axiom,[]) ).
fof(f40,plain,
? [X0] :
! [X1] : ~ model(X1,X0),
inference(rectify,[],[f29]) ).
fof(f29,axiom,
? [X9] :
! [X8] : ~ model(X8,X9),
file('/export/starexec/sandbox2/tmp/tmp.Ofv1o4mV4d/Vampire---4.8_28035',contradiction) ).
fof(f116,plain,
! [X2,X0,X1] :
( model(X2,X1)
| ~ model(X2,X0) ),
inference(subsumption_resolution,[],[f115,f79]) ).
fof(f79,plain,
! [X0,X1,X5] :
( status(X0,X1,unp)
| ~ model(X5,X0) ),
inference(cnf_transformation,[],[f53]) ).
fof(f53,plain,
! [X0,X1] :
( ( ! [X2] : ~ model(X2,X1)
| model(sK0(X0),X0)
| ~ status(X0,X1,unp) )
& ( status(X0,X1,unp)
| ( model(sK1(X1),X1)
& ! [X5] : ~ model(X5,X0) ) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f50,f52,f51]) ).
fof(f51,plain,
! [X0] :
( ? [X3] : model(X3,X0)
=> model(sK0(X0),X0) ),
introduced(choice_axiom,[]) ).
fof(f52,plain,
! [X1] :
( ? [X4] : model(X4,X1)
=> model(sK1(X1),X1) ),
introduced(choice_axiom,[]) ).
fof(f50,plain,
! [X0,X1] :
( ( ! [X2] : ~ model(X2,X1)
| ? [X3] : model(X3,X0)
| ~ status(X0,X1,unp) )
& ( status(X0,X1,unp)
| ( ? [X4] : model(X4,X1)
& ! [X5] : ~ model(X5,X0) ) ) ),
inference(rectify,[],[f49]) ).
fof(f49,plain,
! [X0,X1] :
( ( ! [X3] : ~ model(X3,X1)
| ? [X2] : model(X2,X0)
| ~ status(X0,X1,unp) )
& ( status(X0,X1,unp)
| ( ? [X3] : model(X3,X1)
& ! [X2] : ~ model(X2,X0) ) ) ),
inference(flattening,[],[f48]) ).
fof(f48,plain,
! [X0,X1] :
( ( ! [X3] : ~ model(X3,X1)
| ? [X2] : model(X2,X0)
| ~ status(X0,X1,unp) )
& ( status(X0,X1,unp)
| ( ? [X3] : model(X3,X1)
& ! [X2] : ~ model(X2,X0) ) ) ),
inference(nnf_transformation,[],[f44]) ).
fof(f44,plain,
! [X0,X1] :
( ( ! [X3] : ~ model(X3,X1)
| ? [X2] : model(X2,X0) )
<=> status(X0,X1,unp) ),
inference(ennf_transformation,[],[f1]) ).
fof(f1,axiom,
! [X0,X1] :
( ( ~ ? [X2] : model(X2,X0)
=> ~ ? [X3] : model(X3,X1) )
<=> status(X0,X1,unp) ),
file('/export/starexec/sandbox2/tmp/tmp.Ofv1o4mV4d/Vampire---4.8_28035',unp) ).
fof(f115,plain,
! [X2,X0,X1] :
( ~ status(X0,X1,unp)
| ~ model(X2,X0)
| model(X2,X1) ),
inference(resolution,[],[f114,f84]) ).
fof(f84,plain,
! [X2,X0,X1] :
( ~ status(X0,X1,thm)
| ~ model(X2,X0)
| model(X2,X1) ),
inference(cnf_transformation,[],[f57]) ).
fof(f57,plain,
! [X0,X1] :
( ( ! [X2] :
( model(X2,X1)
| ~ model(X2,X0) )
| ~ status(X0,X1,thm) )
& ( status(X0,X1,thm)
| ( ~ model(sK2(X0,X1),X1)
& model(sK2(X0,X1),X0) ) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK2])],[f55,f56]) ).
fof(f56,plain,
! [X0,X1] :
( ? [X3] :
( ~ model(X3,X1)
& model(X3,X0) )
=> ( ~ model(sK2(X0,X1),X1)
& model(sK2(X0,X1),X0) ) ),
introduced(choice_axiom,[]) ).
fof(f55,plain,
! [X0,X1] :
( ( ! [X2] :
( model(X2,X1)
| ~ model(X2,X0) )
| ~ status(X0,X1,thm) )
& ( status(X0,X1,thm)
| ? [X3] :
( ~ model(X3,X1)
& model(X3,X0) ) ) ),
inference(rectify,[],[f54]) ).
fof(f54,plain,
! [X0,X1] :
( ( ! [X2] :
( model(X2,X1)
| ~ model(X2,X0) )
| ~ status(X0,X1,thm) )
& ( status(X0,X1,thm)
| ? [X2] :
( ~ model(X2,X1)
& model(X2,X0) ) ) ),
inference(nnf_transformation,[],[f45]) ).
fof(f45,plain,
! [X0,X1] :
( ! [X2] :
( model(X2,X1)
| ~ model(X2,X0) )
<=> status(X0,X1,thm) ),
inference(ennf_transformation,[],[f5]) ).
fof(f5,axiom,
! [X0,X1] :
( ! [X2] :
( model(X2,X0)
=> model(X2,X1) )
<=> status(X0,X1,thm) ),
file('/export/starexec/sandbox2/tmp/tmp.Ofv1o4mV4d/Vampire---4.8_28035',thm) ).
fof(f114,plain,
! [X0,X1] :
( status(X0,X1,thm)
| ~ status(X0,X1,unp) ),
inference(resolution,[],[f85,f78]) ).
fof(f78,plain,
~ nota(unp,thm),
inference(cnf_transformation,[],[f35]) ).
fof(f35,plain,
~ nota(unp,thm),
inference(flattening,[],[f34]) ).
fof(f34,negated_conjecture,
~ nota(unp,thm),
inference(negated_conjecture,[],[f33]) ).
fof(f33,conjecture,
nota(unp,thm),
file('/export/starexec/sandbox2/tmp/tmp.Ofv1o4mV4d/Vampire---4.8_28035',nota_unp_thm) ).
fof(f85,plain,
! [X2,X3,X0,X1] :
( nota(X0,X1)
| status(X2,X3,X1)
| ~ status(X2,X3,X0) ),
inference(cnf_transformation,[],[f46]) ).
fof(f46,plain,
! [X0,X1] :
( nota(X0,X1)
| ! [X2,X3] :
( status(X2,X3,X1)
| ~ status(X2,X3,X0) ) ),
inference(ennf_transformation,[],[f43]) ).
fof(f43,plain,
! [X0,X1] :
( ? [X2,X3] :
( ~ status(X2,X3,X1)
& status(X2,X3,X0) )
=> nota(X0,X1) ),
inference(unused_predicate_definition_removal,[],[f36]) ).
fof(f36,plain,
! [X0,X1] :
( ? [X2,X3] :
( ~ status(X2,X3,X1)
& status(X2,X3,X0) )
<=> nota(X0,X1) ),
inference(rectify,[],[f22]) ).
fof(f22,axiom,
! [X6,X7] :
( ? [X0,X1] :
( ~ status(X0,X1,X7)
& status(X0,X1,X6) )
<=> nota(X6,X7) ),
file('/export/starexec/sandbox2/tmp/tmp.Ofv1o4mV4d/Vampire---4.8_28035',nota) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : KRS200+1 : TPTP v8.1.2. Bugfixed v5.4.0.
% 0.08/0.15 % 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
% 0.16/0.36 % Computer : n027.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 19:52:23 EDT 2024
% 0.16/0.36 % CPUTime :
% 0.16/0.36 This is a FOF_THM_RFO_NEQ problem
% 0.16/0.36 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.Ofv1o4mV4d/Vampire---4.8_28035
% 0.60/0.76 % (28186)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)
% 0.60/0.76 % (28188)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.60/0.76 % (28188)First to succeed.
% 0.60/0.76 % (28189)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)
% 0.60/0.76 % (28186)Refutation not found, incomplete strategy% (28186)------------------------------
% 0.60/0.76 % (28186)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.76 % (28186)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.76
% 0.60/0.76 % (28186)Memory used [KB]: 1077
% 0.60/0.76 % (28186)Time elapsed: 0.003 s
% 0.60/0.76 % (28186)Instructions burned: 5 (million)
% 0.60/0.76 % (28186)------------------------------
% 0.60/0.76 % (28186)------------------------------
% 0.60/0.76 % (28187)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)
% 0.60/0.76 % (28190)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)
% 0.60/0.76 % (28191)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)
% 0.60/0.76 % (28192)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)
% 0.60/0.76 % (28193)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)
% 0.60/0.76 % (28188)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-28178"
% 0.60/0.76 % (28188)Refutation found. Thanks to Tanya!
% 0.60/0.76 % SZS status Theorem for Vampire---4
% 0.60/0.76 % SZS output start Proof for Vampire---4
% See solution above
% 0.60/0.76 % (28188)------------------------------
% 0.60/0.76 % (28188)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.76 % (28188)Termination reason: Refutation
% 0.60/0.76
% 0.60/0.76 % (28188)Memory used [KB]: 1078
% 0.60/0.76 % (28188)Time elapsed: 0.004 s
% 0.60/0.76 % (28188)Instructions burned: 5 (million)
% 0.60/0.76 % (28178)Success in time 0.389 s
% 0.62/0.77 % Vampire---4.8 exiting
%------------------------------------------------------------------------------