TSTP Solution File: KRS217+1 by Vampire---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : KRS217+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 : n016.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 07:18:18 EDT 2024
% Result : Theorem 0.59s 0.76s
% Output : Refutation 0.59s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 13
% Syntax : Number of formulae : 49 ( 12 unt; 0 def)
% Number of atoms : 171 ( 0 equ)
% Maximal formula atoms : 10 ( 3 avg)
% Number of connectives : 194 ( 72 ~; 58 |; 48 &)
% ( 8 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 6 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 11 ( 11 usr; 7 con; 0-2 aty)
% Number of variables : 131 ( 93 !; 38 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f242,plain,
$false,
inference(subsumption_resolution,[],[f232,f117]) ).
fof(f117,plain,
! [X1] : model(X1,sK20),
inference(cnf_transformation,[],[f80]) ).
fof(f80,plain,
! [X1] : model(X1,sK20),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK20])],[f43,f79]) ).
fof(f79,plain,
( ? [X0] :
! [X1] : model(X1,X0)
=> ! [X1] : model(X1,sK20) ),
introduced(choice_axiom,[]) ).
fof(f43,plain,
? [X0] :
! [X1] : model(X1,X0),
inference(rectify,[],[f27]) ).
fof(f27,axiom,
? [X9] :
! [X8] : model(X8,X9),
file('/export/starexec/sandbox/tmp/tmp.Td6yiiZHGf/Vampire---4.8_11627',tautology) ).
fof(f232,plain,
~ model(sK3,sK20),
inference(resolution,[],[f214,f117]) ).
fof(f214,plain,
! [X0] :
( ~ model(sK6,X0)
| ~ model(sK3,X0) ),
inference(resolution,[],[f193,f105]) ).
fof(f105,plain,
model(sK6,sK5),
inference(cnf_transformation,[],[f63]) ).
fof(f63,plain,
( model(sK6,sK5)
& ~ model(sK3,sK5)
& model(sK3,sK4) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK3,sK4,sK5,sK6])],[f38,f62,f61]) ).
fof(f61,plain,
( ? [X0,X1,X2] :
( ? [X3] : model(X3,X2)
& ~ model(X0,X2)
& model(X0,X1) )
=> ( ? [X3] : model(X3,sK5)
& ~ model(sK3,sK5)
& model(sK3,sK4) ) ),
introduced(choice_axiom,[]) ).
fof(f62,plain,
( ? [X3] : model(X3,sK5)
=> model(sK6,sK5) ),
introduced(choice_axiom,[]) ).
fof(f38,plain,
? [X0,X1,X2] :
( ? [X3] : model(X3,X2)
& ~ model(X0,X2)
& model(X0,X1) ),
inference(rectify,[],[f32]) ).
fof(f32,axiom,
? [X2,X0,X1] :
( ? [X3] : model(X3,X1)
& ~ model(X2,X1)
& model(X2,X0) ),
file('/export/starexec/sandbox/tmp/tmp.Td6yiiZHGf/Vampire---4.8_11627',non_thm_spt) ).
fof(f193,plain,
! [X0,X1] :
( ~ model(X0,sK5)
| ~ model(X0,X1)
| ~ model(sK3,X1) ),
inference(resolution,[],[f187,f104]) ).
fof(f104,plain,
~ model(sK3,sK5),
inference(cnf_transformation,[],[f63]) ).
fof(f187,plain,
! [X2,X3,X0,X1] :
( model(X0,X3)
| ~ model(X2,X3)
| ~ model(X2,X1)
| ~ model(X0,X1) ),
inference(subsumption_resolution,[],[f182,f96]) ).
fof(f96,plain,
! [X2,X0,X1] :
( ~ status(X0,X1,thm)
| ~ model(X2,X0)
| model(X2,X1) ),
inference(cnf_transformation,[],[f54]) ).
fof(f54,plain,
! [X0,X1] :
( ( ! [X2] :
( model(X2,X1)
| ~ model(X2,X0) )
| ~ status(X0,X1,thm) )
& ( status(X0,X1,thm)
| ( ~ model(sK0(X0,X1),X1)
& model(sK0(X0,X1),X0) ) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f52,f53]) ).
fof(f53,plain,
! [X0,X1] :
( ? [X3] :
( ~ model(X3,X1)
& model(X3,X0) )
=> ( ~ model(sK0(X0,X1),X1)
& model(sK0(X0,X1),X0) ) ),
introduced(choice_axiom,[]) ).
fof(f52,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,[],[f51]) ).
fof(f51,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,[],[f48]) ).
fof(f48,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/sandbox/tmp/tmp.Td6yiiZHGf/Vampire---4.8_11627',thm) ).
fof(f182,plain,
! [X2,X3,X0,X1] :
( ~ model(X0,X1)
| ~ model(X2,X3)
| ~ model(X2,X1)
| model(X0,X3)
| status(X1,X3,thm) ),
inference(resolution,[],[f146,f141]) ).
fof(f141,plain,
! [X0,X1] :
( ~ status(X0,X1,noc)
| status(X0,X1,thm) ),
inference(resolution,[],[f97,f93]) ).
fof(f93,plain,
~ nota(noc,thm),
inference(cnf_transformation,[],[f35]) ).
fof(f35,plain,
~ nota(noc,thm),
inference(flattening,[],[f34]) ).
fof(f34,negated_conjecture,
~ nota(noc,thm),
inference(negated_conjecture,[],[f33]) ).
fof(f33,conjecture,
nota(noc,thm),
file('/export/starexec/sandbox/tmp/tmp.Td6yiiZHGf/Vampire---4.8_11627',nota_noc_thm) ).
fof(f97,plain,
! [X2,X3,X0,X1] :
( nota(X0,X1)
| status(X2,X3,X1)
| ~ status(X2,X3,X0) ),
inference(cnf_transformation,[],[f49]) ).
fof(f49,plain,
! [X0,X1] :
( nota(X0,X1)
| ! [X2,X3] :
( status(X2,X3,X1)
| ~ status(X2,X3,X0) ) ),
inference(ennf_transformation,[],[f47]) ).
fof(f47,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/sandbox/tmp/tmp.Td6yiiZHGf/Vampire---4.8_11627',nota) ).
fof(f146,plain,
! [X2,X3,X0,X1] :
( status(X0,X1,noc)
| ~ model(X2,X0)
| ~ model(X3,X1)
| ~ model(X3,X0)
| model(X2,X1) ),
inference(resolution,[],[f98,f119]) ).
fof(f119,plain,
! [X0,X1] :
( model(X0,not(X1))
| model(X0,X1) ),
inference(cnf_transformation,[],[f81]) ).
fof(f81,plain,
! [X0,X1] :
( ( model(X0,X1)
| model(X0,not(X1)) )
& ( ~ model(X0,not(X1))
| ~ model(X0,X1) ) ),
inference(nnf_transformation,[],[f44]) ).
fof(f44,plain,
! [X0,X1] :
( model(X0,X1)
<=> ~ model(X0,not(X1)) ),
inference(rectify,[],[f26]) ).
fof(f26,axiom,
! [X8,X9] :
( model(X8,X9)
<=> ~ model(X8,not(X9)) ),
file('/export/starexec/sandbox/tmp/tmp.Td6yiiZHGf/Vampire---4.8_11627',not) ).
fof(f98,plain,
! [X0,X1,X4,X5] :
( ~ model(X4,not(X1))
| status(X0,X1,noc)
| ~ model(X4,X0)
| ~ model(X5,X1)
| ~ model(X5,X0) ),
inference(cnf_transformation,[],[f60]) ).
fof(f60,plain,
! [X0,X1] :
( ( ( model(sK1(X0,X1),not(X1))
& model(sK1(X0,X1),X0)
& model(sK2(X0,X1),X1)
& model(sK2(X0,X1),X0) )
| ~ status(X0,X1,noc) )
& ( status(X0,X1,noc)
| ! [X4] :
( ~ model(X4,not(X1))
| ~ model(X4,X0) )
| ! [X5] :
( ~ model(X5,X1)
| ~ model(X5,X0) ) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK1,sK2])],[f57,f59,f58]) ).
fof(f58,plain,
! [X0,X1] :
( ? [X2] :
( model(X2,not(X1))
& model(X2,X0) )
=> ( model(sK1(X0,X1),not(X1))
& model(sK1(X0,X1),X0) ) ),
introduced(choice_axiom,[]) ).
fof(f59,plain,
! [X0,X1] :
( ? [X3] :
( model(X3,X1)
& model(X3,X0) )
=> ( model(sK2(X0,X1),X1)
& model(sK2(X0,X1),X0) ) ),
introduced(choice_axiom,[]) ).
fof(f57,plain,
! [X0,X1] :
( ( ( ? [X2] :
( model(X2,not(X1))
& model(X2,X0) )
& ? [X3] :
( model(X3,X1)
& model(X3,X0) ) )
| ~ status(X0,X1,noc) )
& ( status(X0,X1,noc)
| ! [X4] :
( ~ model(X4,not(X1))
| ~ model(X4,X0) )
| ! [X5] :
( ~ model(X5,X1)
| ~ model(X5,X0) ) ) ),
inference(rectify,[],[f56]) ).
fof(f56,plain,
! [X0,X1] :
( ( ( ? [X2] :
( model(X2,not(X1))
& model(X2,X0) )
& ? [X3] :
( model(X3,X1)
& model(X3,X0) ) )
| ~ status(X0,X1,noc) )
& ( status(X0,X1,noc)
| ! [X2] :
( ~ model(X2,not(X1))
| ~ model(X2,X0) )
| ! [X3] :
( ~ model(X3,X1)
| ~ model(X3,X0) ) ) ),
inference(flattening,[],[f55]) ).
fof(f55,plain,
! [X0,X1] :
( ( ( ? [X2] :
( model(X2,not(X1))
& model(X2,X0) )
& ? [X3] :
( model(X3,X1)
& model(X3,X0) ) )
| ~ status(X0,X1,noc) )
& ( status(X0,X1,noc)
| ! [X2] :
( ~ model(X2,not(X1))
| ~ model(X2,X0) )
| ! [X3] :
( ~ model(X3,X1)
| ~ model(X3,X0) ) ) ),
inference(nnf_transformation,[],[f37]) ).
fof(f37,plain,
! [X0,X1] :
( ( ? [X2] :
( model(X2,not(X1))
& model(X2,X0) )
& ? [X3] :
( model(X3,X1)
& model(X3,X0) ) )
<=> status(X0,X1,noc) ),
inference(rectify,[],[f19]) ).
fof(f19,axiom,
! [X0,X1] :
( ( ? [X3] :
( model(X3,not(X1))
& model(X3,X0) )
& ? [X2] :
( model(X2,X1)
& model(X2,X0) ) )
<=> status(X0,X1,noc) ),
file('/export/starexec/sandbox/tmp/tmp.Td6yiiZHGf/Vampire---4.8_11627',noc) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.12 % Problem : KRS217+1 : TPTP v8.1.2. Bugfixed v5.4.0.
% 0.11/0.14 % 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
% 0.12/0.35 % Computer : n016.cluster.edu
% 0.12/0.35 % Model : x86_64 x86_64
% 0.12/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.35 % Memory : 8042.1875MB
% 0.12/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.35 % CPULimit : 300
% 0.12/0.35 % WCLimit : 300
% 0.12/0.35 % DateTime : Fri May 3 19:51:37 EDT 2024
% 0.18/0.35 % CPUTime :
% 0.18/0.35 This is a FOF_THM_RFO_NEQ problem
% 0.18/0.36 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.Td6yiiZHGf/Vampire---4.8_11627
% 0.54/0.76 % (11735)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)
% 0.54/0.76 % (11737)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.54/0.76 % (11738)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)
% 0.54/0.76 % (11740)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)
% 0.54/0.76 % (11736)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)
% 0.54/0.76 % (11741)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)
% 0.54/0.76 % (11739)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)
% 0.54/0.76 % (11742)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)
% 0.54/0.76 % (11740)Refutation not found, incomplete strategy% (11740)------------------------------
% 0.54/0.76 % (11740)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.54/0.76 % (11738)Refutation not found, incomplete strategy% (11738)------------------------------
% 0.54/0.76 % (11738)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.54/0.76 % (11738)Termination reason: Refutation not found, incomplete strategy
% 0.54/0.76
% 0.54/0.76 % (11738)Memory used [KB]: 1042
% 0.54/0.76 % (11738)Time elapsed: 0.003 s
% 0.54/0.76 % (11738)Instructions burned: 2 (million)
% 0.54/0.76 % (11740)Termination reason: Refutation not found, incomplete strategy
% 0.54/0.76
% 0.54/0.76 % (11740)Memory used [KB]: 1048
% 0.54/0.76 % (11740)Time elapsed: 0.002 s
% 0.54/0.76 % (11740)Instructions burned: 3 (million)
% 0.54/0.76 % (11738)------------------------------
% 0.54/0.76 % (11738)------------------------------
% 0.54/0.76 % (11740)------------------------------
% 0.54/0.76 % (11740)------------------------------
% 0.54/0.76 % (11741)Refutation not found, incomplete strategy% (11741)------------------------------
% 0.54/0.76 % (11741)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.54/0.76 % (11741)Termination reason: Refutation not found, incomplete strategy
% 0.54/0.76
% 0.54/0.76 % (11741)Memory used [KB]: 1049
% 0.54/0.76 % (11741)Time elapsed: 0.003 s
% 0.54/0.76 % (11741)Instructions burned: 3 (million)
% 0.54/0.76 % (11741)------------------------------
% 0.54/0.76 % (11741)------------------------------
% 0.54/0.76 % (11739)Refutation not found, incomplete strategy% (11739)------------------------------
% 0.54/0.76 % (11739)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.54/0.76 % (11739)Termination reason: Refutation not found, incomplete strategy
% 0.54/0.76
% 0.54/0.76 % (11739)Memory used [KB]: 1148
% 0.54/0.76 % (11739)Time elapsed: 0.004 s
% 0.54/0.76 % (11739)Instructions burned: 5 (million)
% 0.54/0.76 % (11739)------------------------------
% 0.54/0.76 % (11739)------------------------------
% 0.54/0.76 % (11737)First to succeed.
% 0.54/0.76 % (11743)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)
% 0.54/0.76 % (11745)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)
% 0.54/0.76 % (11737)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-11734"
% 0.59/0.76 % (11737)Refutation found. Thanks to Tanya!
% 0.59/0.76 % SZS status Theorem for Vampire---4
% 0.59/0.76 % SZS output start Proof for Vampire---4
% See solution above
% 0.59/0.76 % (11737)------------------------------
% 0.59/0.76 % (11737)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.59/0.76 % (11737)Termination reason: Refutation
% 0.59/0.76
% 0.59/0.76 % (11737)Memory used [KB]: 1127
% 0.59/0.76 % (11737)Time elapsed: 0.007 s
% 0.59/0.76 % (11737)Instructions burned: 10 (million)
% 0.59/0.76 % (11734)Success in time 0.402 s
% 0.59/0.76 % Vampire---4.8 exiting
%------------------------------------------------------------------------------