TSTP Solution File: KRS216+1 by Vampire---4.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : KRS216+1 : TPTP v8.2.0. 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 : n008.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 : Mon May 20 23:20:35 EDT 2024
% Result : Theorem 0.86s 1.03s
% Output : Refutation 0.86s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 14
% Syntax : Number of formulae : 55 ( 15 unt; 0 def)
% Number of atoms : 144 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 159 ( 70 ~; 50 |; 22 &)
% ( 10 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 6 ( 5 usr; 3 prp; 0-3 aty)
% Number of functors : 8 ( 8 usr; 4 con; 0-2 aty)
% Number of variables : 118 ( 95 !; 23 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f247,plain,
$false,
inference(avatar_sat_refutation,[],[f127,f178,f246]) ).
fof(f246,plain,
~ spl21_2,
inference(avatar_contradiction_clause,[],[f245]) ).
fof(f245,plain,
( $false
| ~ spl21_2 ),
inference(subsumption_resolution,[],[f213,f104]) ).
fof(f104,plain,
! [X1] : model(X1,sK20),
inference(cnf_transformation,[],[f79]) ).
fof(f79,plain,
! [X1] : model(X1,sK20),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK20])],[f43,f78]) ).
fof(f78,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/sandbox2/benchmark/theBenchmark.p',tautology) ).
fof(f213,plain,
( ~ model(sK2(sK20),sK20)
| ~ spl21_2 ),
inference(resolution,[],[f126,f104]) ).
fof(f126,plain,
( ! [X0,X1] :
( ~ model(sK2(X0),X0)
| ~ model(X1,X0) )
| ~ spl21_2 ),
inference(avatar_component_clause,[],[f125]) ).
fof(f125,plain,
( spl21_2
<=> ! [X0,X1] :
( ~ model(sK2(X0),X0)
| ~ model(X1,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_2])]) ).
fof(f178,plain,
spl21_1,
inference(avatar_contradiction_clause,[],[f177]) ).
fof(f177,plain,
( $false
| spl21_1 ),
inference(subsumption_resolution,[],[f173,f101]) ).
fof(f101,plain,
! [X1] : ~ model(X1,sK16),
inference(cnf_transformation,[],[f73]) ).
fof(f73,plain,
! [X1] : ~ model(X1,sK16),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK16])],[f41,f72]) ).
fof(f72,plain,
( ? [X0] :
! [X1] : ~ model(X1,X0)
=> ! [X1] : ~ model(X1,sK16) ),
introduced(choice_axiom,[]) ).
fof(f41,plain,
? [X0] :
! [X1] : ~ model(X1,X0),
inference(rectify,[],[f29]) ).
fof(f29,axiom,
? [X9] :
! [X8] : ~ model(X8,X9),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',contradiction) ).
fof(f173,plain,
( model(sK1(sK16),sK16)
| spl21_1 ),
inference(resolution,[],[f123,f106]) ).
fof(f106,plain,
! [X0,X1] :
( model(X0,not(X1))
| model(X0,X1) ),
inference(cnf_transformation,[],[f80]) ).
fof(f80,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/sandbox2/benchmark/theBenchmark.p',not) ).
fof(f123,plain,
( ~ model(sK1(sK16),not(sK16))
| spl21_1 ),
inference(avatar_component_clause,[],[f121]) ).
fof(f121,plain,
( spl21_1
<=> model(sK1(sK16),not(sK16)) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_1])]) ).
fof(f127,plain,
( ~ spl21_1
| spl21_2 ),
inference(avatar_split_clause,[],[f112,f125,f121]) ).
fof(f112,plain,
! [X0,X1] :
( ~ model(sK2(X0),X0)
| ~ model(X1,X0)
| ~ model(sK1(sK16),not(sK16)) ),
inference(resolution,[],[f111,f101]) ).
fof(f111,plain,
! [X2,X0,X1] :
( model(X2,X0)
| ~ model(sK2(X1),X1)
| ~ model(X2,X1)
| ~ model(sK1(X0),not(X0)) ),
inference(resolution,[],[f110,f85]) ).
fof(f85,plain,
! [X2,X0,X1] :
( ~ status(X0,X1,thm)
| ~ model(X2,X0)
| model(X2,X1) ),
inference(cnf_transformation,[],[f53]) ).
fof(f53,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])],[f51,f52]) ).
fof(f52,plain,
! [X0,X1] :
( ? [X3] :
( ~ model(X3,X1)
& model(X3,X0) )
=> ( ~ model(sK0(X0,X1),X1)
& model(sK0(X0,X1),X0) ) ),
introduced(choice_axiom,[]) ).
fof(f51,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,[],[f50]) ).
fof(f50,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,[],[f47]) ).
fof(f47,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/benchmark/theBenchmark.p',thm) ).
fof(f110,plain,
! [X0,X1] :
( status(X0,X1,thm)
| ~ model(sK1(X1),not(X1))
| ~ model(sK2(X0),X0) ),
inference(resolution,[],[f109,f87]) ).
fof(f87,plain,
! [X0,X1] :
( status(X0,X1,uns)
| ~ model(sK1(X1),not(X1))
| ~ model(sK2(X0),X0) ),
inference(cnf_transformation,[],[f59]) ).
fof(f59,plain,
! [X0,X1] :
( ( ( ! [X2] : model(X2,not(X1))
& ! [X3] : model(X3,X0) )
| ~ status(X0,X1,uns) )
& ( status(X0,X1,uns)
| ~ model(sK1(X1),not(X1))
| ~ model(sK2(X0),X0) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK1,sK2])],[f56,f58,f57]) ).
fof(f57,plain,
! [X1] :
( ? [X4] : ~ model(X4,not(X1))
=> ~ model(sK1(X1),not(X1)) ),
introduced(choice_axiom,[]) ).
fof(f58,plain,
! [X0] :
( ? [X5] : ~ model(X5,X0)
=> ~ model(sK2(X0),X0) ),
introduced(choice_axiom,[]) ).
fof(f56,plain,
! [X0,X1] :
( ( ( ! [X2] : model(X2,not(X1))
& ! [X3] : model(X3,X0) )
| ~ status(X0,X1,uns) )
& ( status(X0,X1,uns)
| ? [X4] : ~ model(X4,not(X1))
| ? [X5] : ~ model(X5,X0) ) ),
inference(rectify,[],[f55]) ).
fof(f55,plain,
! [X0,X1] :
( ( ( ! [X2] : model(X2,not(X1))
& ! [X3] : model(X3,X0) )
| ~ status(X0,X1,uns) )
& ( status(X0,X1,uns)
| ? [X2] : ~ model(X2,not(X1))
| ? [X3] : ~ model(X3,X0) ) ),
inference(flattening,[],[f54]) ).
fof(f54,plain,
! [X0,X1] :
( ( ( ! [X2] : model(X2,not(X1))
& ! [X3] : model(X3,X0) )
| ~ status(X0,X1,uns) )
& ( status(X0,X1,uns)
| ? [X2] : ~ model(X2,not(X1))
| ? [X3] : ~ model(X3,X0) ) ),
inference(nnf_transformation,[],[f37]) ).
fof(f37,plain,
! [X0,X1] :
( ( ! [X2] : model(X2,not(X1))
& ! [X3] : model(X3,X0) )
<=> status(X0,X1,uns) ),
inference(rectify,[],[f18]) ).
fof(f18,axiom,
! [X0,X1] :
( ( ! [X3] : model(X3,not(X1))
& ! [X2] : model(X2,X0) )
<=> status(X0,X1,uns) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',uns) ).
fof(f109,plain,
! [X0,X1] :
( ~ status(X0,X1,uns)
| status(X0,X1,thm) ),
inference(resolution,[],[f82,f86]) ).
fof(f86,plain,
! [X2,X3,X0,X1] :
( nota(X0,X1)
| status(X2,X3,X1)
| ~ status(X2,X3,X0) ),
inference(cnf_transformation,[],[f48]) ).
fof(f48,plain,
! [X0,X1] :
( nota(X0,X1)
| ! [X2,X3] :
( status(X2,X3,X1)
| ~ status(X2,X3,X0) ) ),
inference(ennf_transformation,[],[f46]) ).
fof(f46,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/benchmark/theBenchmark.p',nota) ).
fof(f82,plain,
~ nota(uns,thm),
inference(cnf_transformation,[],[f35]) ).
fof(f35,plain,
~ nota(uns,thm),
inference(flattening,[],[f34]) ).
fof(f34,negated_conjecture,
~ nota(uns,thm),
inference(negated_conjecture,[],[f33]) ).
fof(f33,conjecture,
nota(uns,thm),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',nota_uns_thm) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13 % Problem : KRS216+1 : TPTP v8.2.0. Bugfixed v5.4.0.
% 0.14/0.14 % 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
% 0.15/0.36 % Computer : n008.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Sat May 18 22:32:23 EDT 2024
% 0.15/0.36 % CPUTime :
% 0.15/0.36 This is a FOF_THM_RFO_NEQ problem
% 0.15/0.37 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/benchmark/theBenchmark.p
% 0.81/1.02 % (28637)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on theBenchmark for (2993ds/45Mi)
% 0.81/1.02 % (28636)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 theBenchmark for (2993ds/34Mi)
% 0.81/1.02 % (28633)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 theBenchmark for (2993ds/51Mi)
% 0.81/1.02 % (28632)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 theBenchmark for (2993ds/34Mi)
% 0.81/1.02 % (28638)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 theBenchmark for (2993ds/83Mi)
% 0.81/1.02 % (28634)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on theBenchmark for (2993ds/78Mi)
% 0.81/1.02 % (28639)lrs-21_1:1_to=lpo:sil=2000:sp=frequency:sos=on:lma=on:i=56:sd=2:ss=axioms:ep=R_0 on theBenchmark for (2993ds/56Mi)
% 0.81/1.02 % (28635)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on theBenchmark for (2993ds/33Mi)
% 0.81/1.02 % (28638)Refutation not found, incomplete strategy% (28638)------------------------------
% 0.81/1.02 % (28638)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.81/1.02 % (28638)Termination reason: Refutation not found, incomplete strategy
% 0.81/1.02
% 0.81/1.02 % (28638)Memory used [KB]: 1065
% 0.81/1.02 % (28638)Time elapsed: 0.004 s
% 0.81/1.02 % (28638)Instructions burned: 3 (million)
% 0.81/1.02 % (28638)------------------------------
% 0.81/1.02 % (28638)------------------------------
% 0.81/1.02 % (28636)Refutation not found, incomplete strategy% (28636)------------------------------
% 0.81/1.02 % (28636)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.81/1.02 % (28636)Termination reason: Refutation not found, incomplete strategy
% 0.81/1.02
% 0.81/1.02 % (28636)Memory used [KB]: 1164
% 0.81/1.02 % (28636)Time elapsed: 0.005 s
% 0.81/1.02 % (28636)Instructions burned: 5 (million)
% 0.81/1.02 % (28636)------------------------------
% 0.81/1.02 % (28636)------------------------------
% 0.81/1.02 % (28639)First to succeed.
% 0.81/1.02 % (28637)Refutation not found, incomplete strategy% (28637)------------------------------
% 0.81/1.02 % (28637)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.81/1.02 % (28637)Termination reason: Refutation not found, incomplete strategy
% 0.81/1.02
% 0.81/1.02 % (28637)Memory used [KB]: 1064
% 0.81/1.02 % (28637)Time elapsed: 0.005 s
% 0.81/1.02 % (28637)Instructions burned: 3 (million)
% 0.81/1.02 % (28634)Also succeeded, but the first one will report.
% 0.81/1.02 % (28637)------------------------------
% 0.81/1.02 % (28637)------------------------------
% 0.86/1.02 % (28632)Refutation not found, incomplete strategy% (28632)------------------------------
% 0.86/1.02 % (28632)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.86/1.02 % (28632)Termination reason: Refutation not found, incomplete strategy
% 0.86/1.02
% 0.86/1.02 % (28632)Memory used [KB]: 1104
% 0.86/1.02 % (28632)Time elapsed: 0.006 s
% 0.86/1.02 % (28632)Instructions burned: 6 (million)
% 0.86/1.02 % (28639)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-28631"
% 0.86/1.02 % (28632)------------------------------
% 0.86/1.02 % (28632)------------------------------
% 0.86/1.03 % (28639)Refutation found. Thanks to Tanya!
% 0.86/1.03 % SZS status Theorem for theBenchmark
% 0.86/1.03 % SZS output start Proof for theBenchmark
% See solution above
% 0.86/1.03 % (28639)------------------------------
% 0.86/1.03 % (28639)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.86/1.03 % (28639)Termination reason: Refutation
% 0.86/1.03
% 0.86/1.03 % (28639)Memory used [KB]: 1135
% 0.86/1.03 % (28639)Time elapsed: 0.006 s
% 0.86/1.03 % (28639)Instructions burned: 6 (million)
% 0.86/1.03 % (28631)Success in time 0.653 s
% 0.86/1.03 % Vampire---4.8 exiting
%------------------------------------------------------------------------------