TSTP Solution File: KRS202+1 by Vampire---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : KRS202+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 07:18:13 EDT 2024
% Result : Theorem 0.57s 0.75s
% Output : Refutation 0.57s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 16
% Syntax : Number of formulae : 52 ( 13 unt; 0 def)
% Number of atoms : 152 ( 0 equ)
% Maximal formula atoms : 10 ( 2 avg)
% Number of connectives : 168 ( 68 ~; 52 |; 30 &)
% ( 8 <=>; 10 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 6 ( 5 usr; 3 prp; 0-3 aty)
% Number of functors : 12 ( 12 usr; 7 con; 0-2 aty)
% Number of variables : 127 ( 87 !; 40 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f209,plain,
$false,
inference(avatar_sat_refutation,[],[f118,f202,f208]) ).
fof(f208,plain,
~ spl23_1,
inference(avatar_contradiction_clause,[],[f207]) ).
fof(f207,plain,
( $false
| ~ spl23_1 ),
inference(resolution,[],[f114,f89]) ).
fof(f89,plain,
model(sK8,sK7),
inference(cnf_transformation,[],[f60]) ).
fof(f60,plain,
( model(sK8,sK7)
& ~ model(sK5,sK7)
& model(sK5,sK6) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK5,sK6,sK7,sK8])],[f37,f59,f58]) ).
fof(f58,plain,
( ? [X0,X1,X2] :
( ? [X3] : model(X3,X2)
& ~ model(X0,X2)
& model(X0,X1) )
=> ( ? [X3] : model(X3,sK7)
& ~ model(sK5,sK7)
& model(sK5,sK6) ) ),
introduced(choice_axiom,[]) ).
fof(f59,plain,
( ? [X3] : model(X3,sK7)
=> model(sK8,sK7) ),
introduced(choice_axiom,[]) ).
fof(f37,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/sandbox2/tmp/tmp.OY3PZzqtN0/Vampire---4.8_29293',non_thm_spt) ).
fof(f114,plain,
( ! [X1] : ~ model(X1,sK7)
| ~ spl23_1 ),
inference(avatar_component_clause,[],[f113]) ).
fof(f113,plain,
( spl23_1
<=> ! [X1] : ~ model(X1,sK7) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_1])]) ).
fof(f202,plain,
~ spl23_2,
inference(avatar_contradiction_clause,[],[f201]) ).
fof(f201,plain,
( $false
| ~ spl23_2 ),
inference(subsumption_resolution,[],[f178,f101]) ).
fof(f101,plain,
! [X1] : model(X1,sK22),
inference(cnf_transformation,[],[f77]) ).
fof(f77,plain,
! [X1] : model(X1,sK22),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK22])],[f42,f76]) ).
fof(f76,plain,
( ? [X0] :
! [X1] : model(X1,X0)
=> ! [X1] : model(X1,sK22) ),
introduced(choice_axiom,[]) ).
fof(f42,plain,
? [X0] :
! [X1] : model(X1,X0),
inference(rectify,[],[f27]) ).
fof(f27,axiom,
? [X9] :
! [X8] : model(X8,X9),
file('/export/starexec/sandbox2/tmp/tmp.OY3PZzqtN0/Vampire---4.8_29293',tautology) ).
fof(f178,plain,
( ~ model(sK5,sK22)
| ~ spl23_2 ),
inference(resolution,[],[f117,f101]) ).
fof(f117,plain,
( ! [X2,X0] :
( ~ model(sK5,X0)
| ~ model(X2,X0) )
| ~ spl23_2 ),
inference(avatar_component_clause,[],[f116]) ).
fof(f116,plain,
( spl23_2
<=> ! [X2,X0] :
( ~ model(sK5,X0)
| ~ model(X2,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_2])]) ).
fof(f118,plain,
( spl23_1
| spl23_2 ),
inference(avatar_split_clause,[],[f107,f116,f113]) ).
fof(f107,plain,
! [X2,X0,X1] :
( ~ model(sK5,X0)
| ~ model(X1,sK7)
| ~ model(X2,X0) ),
inference(resolution,[],[f105,f88]) ).
fof(f88,plain,
~ model(sK5,sK7),
inference(cnf_transformation,[],[f60]) ).
fof(f105,plain,
! [X2,X3,X0,X1,X4] :
( model(X0,X2)
| ~ model(X0,X1)
| ~ model(X3,X2)
| ~ model(X4,X1) ),
inference(resolution,[],[f103,f80]) ).
fof(f80,plain,
! [X0,X1,X6,X7] :
( status(X0,X1,esa)
| ~ model(X6,X1)
| ~ model(X7,X0) ),
inference(cnf_transformation,[],[f53]) ).
fof(f53,plain,
! [X0,X1] :
( ( ( ( model(sK0(X0),X0)
| ! [X3] : ~ model(X3,X1) )
& ( model(sK1(X1),X1)
| ! [X5] : ~ model(X5,X0) ) )
| ~ status(X0,X1,esa) )
& ( status(X0,X1,esa)
| ( ( ! [X6] : ~ model(X6,X1)
| ! [X7] : ~ model(X7,X0) )
& ( model(sK2(X1),X1)
| model(sK3(X0),X0) ) ) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3])],[f48,f52,f51,f50,f49]) ).
fof(f49,plain,
! [X0] :
( ? [X2] : model(X2,X0)
=> model(sK0(X0),X0) ),
introduced(choice_axiom,[]) ).
fof(f50,plain,
! [X1] :
( ? [X4] : model(X4,X1)
=> model(sK1(X1),X1) ),
introduced(choice_axiom,[]) ).
fof(f51,plain,
! [X1] :
( ? [X8] : model(X8,X1)
=> model(sK2(X1),X1) ),
introduced(choice_axiom,[]) ).
fof(f52,plain,
! [X0] :
( ? [X9] : model(X9,X0)
=> model(sK3(X0),X0) ),
introduced(choice_axiom,[]) ).
fof(f48,plain,
! [X0,X1] :
( ( ( ( ? [X2] : model(X2,X0)
| ! [X3] : ~ model(X3,X1) )
& ( ? [X4] : model(X4,X1)
| ! [X5] : ~ model(X5,X0) ) )
| ~ status(X0,X1,esa) )
& ( status(X0,X1,esa)
| ( ( ! [X6] : ~ model(X6,X1)
| ! [X7] : ~ model(X7,X0) )
& ( ? [X8] : model(X8,X1)
| ? [X9] : model(X9,X0) ) ) ) ),
inference(rectify,[],[f47]) ).
fof(f47,plain,
! [X0,X1] :
( ( ( ( ? [X2] : model(X2,X0)
| ! [X3] : ~ model(X3,X1) )
& ( ? [X3] : model(X3,X1)
| ! [X2] : ~ model(X2,X0) ) )
| ~ status(X0,X1,esa) )
& ( status(X0,X1,esa)
| ( ( ! [X3] : ~ model(X3,X1)
| ! [X2] : ~ model(X2,X0) )
& ( ? [X3] : model(X3,X1)
| ? [X2] : model(X2,X0) ) ) ) ),
inference(nnf_transformation,[],[f3]) ).
fof(f3,axiom,
! [X0,X1] :
( ( ? [X2] : model(X2,X0)
<=> ? [X3] : model(X3,X1) )
<=> status(X0,X1,esa) ),
file('/export/starexec/sandbox2/tmp/tmp.OY3PZzqtN0/Vampire---4.8_29293',esa) ).
fof(f103,plain,
! [X2,X0,X1] :
( ~ status(X0,X1,esa)
| ~ model(X2,X0)
| model(X2,X1) ),
inference(resolution,[],[f102,f85]) ).
fof(f85,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(sK4(X0,X1),X1)
& model(sK4(X0,X1),X0) ) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK4])],[f55,f56]) ).
fof(f56,plain,
! [X0,X1] :
( ? [X3] :
( ~ model(X3,X1)
& model(X3,X0) )
=> ( ~ model(sK4(X0,X1),X1)
& model(sK4(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,[],[f44]) ).
fof(f44,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.OY3PZzqtN0/Vampire---4.8_29293',thm) ).
fof(f102,plain,
! [X0,X1] :
( status(X0,X1,thm)
| ~ status(X0,X1,esa) ),
inference(resolution,[],[f78,f86]) ).
fof(f86,plain,
! [X2,X3,X0,X1] :
( nota(X0,X1)
| status(X2,X3,X1)
| ~ status(X2,X3,X0) ),
inference(cnf_transformation,[],[f45]) ).
fof(f45,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.OY3PZzqtN0/Vampire---4.8_29293',nota) ).
fof(f78,plain,
~ nota(esa,thm),
inference(cnf_transformation,[],[f35]) ).
fof(f35,plain,
~ nota(esa,thm),
inference(flattening,[],[f34]) ).
fof(f34,negated_conjecture,
~ nota(esa,thm),
inference(negated_conjecture,[],[f33]) ).
fof(f33,conjecture,
nota(esa,thm),
file('/export/starexec/sandbox2/tmp/tmp.OY3PZzqtN0/Vampire---4.8_29293',nota_esa_thm) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.13/0.13 % Problem : KRS202+1 : TPTP v8.1.2. Bugfixed v5.4.0.
% 0.13/0.15 % 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
% 0.14/0.36 % Computer : n024.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 19:50:38 EDT 2024
% 0.14/0.36 % CPUTime :
% 0.14/0.36 This is a FOF_THM_RFO_NEQ problem
% 0.14/0.36 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.OY3PZzqtN0/Vampire---4.8_29293
% 0.57/0.75 % (29458)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)
% 0.57/0.75 % (29460)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)
% 0.57/0.75 % (29458)Refutation not found, incomplete strategy% (29458)------------------------------
% 0.57/0.75 % (29458)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.57/0.75 % (29458)Termination reason: Refutation not found, incomplete strategy
% 0.57/0.75
% 0.57/0.75 % (29458)Memory used [KB]: 1048
% 0.57/0.75 % (29458)Time elapsed: 0.002 s
% 0.57/0.75 % (29458)Instructions burned: 3 (million)
% 0.57/0.75 % (29453)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)
% 0.57/0.75 % (29455)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.57/0.75 % (29458)------------------------------
% 0.57/0.75 % (29458)------------------------------
% 0.57/0.75 % (29454)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)
% 0.57/0.75 % (29456)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)
% 0.57/0.75 % (29459)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)
% 0.57/0.75 % (29457)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)
% 0.57/0.75 % (29460)First to succeed.
% 0.57/0.75 % (29460)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-29441"
% 0.57/0.75 % (29456)Refutation not found, incomplete strategy% (29456)------------------------------
% 0.57/0.75 % (29456)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.57/0.75 % (29456)Termination reason: Refutation not found, incomplete strategy
% 0.57/0.75
% 0.57/0.75 % (29456)Memory used [KB]: 1057
% 0.57/0.75 % (29456)Time elapsed: 0.003 s
% 0.57/0.75 % (29456)Instructions burned: 2 (million)
% 0.57/0.75 % (29456)------------------------------
% 0.57/0.75 % (29456)------------------------------
% 0.57/0.75 % (29460)Refutation found. Thanks to Tanya!
% 0.57/0.75 % SZS status Theorem for Vampire---4
% 0.57/0.75 % SZS output start Proof for Vampire---4
% See solution above
% 0.57/0.75 % (29460)------------------------------
% 0.57/0.75 % (29460)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.57/0.75 % (29460)Termination reason: Refutation
% 0.57/0.75
% 0.57/0.75 % (29460)Memory used [KB]: 1120
% 0.57/0.75 % (29460)Time elapsed: 0.003 s
% 0.57/0.75 % (29460)Instructions burned: 6 (million)
% 0.57/0.75 % (29441)Success in time 0.38 s
% 0.57/0.75 % Vampire---4.8 exiting
%------------------------------------------------------------------------------