TSTP Solution File: KRS266+1 by Vampire---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : KRS266+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/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% Computer : n018.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 23:20:54 EDT 2024
% Result : Theorem 0.48s 0.68s
% Output : Refutation 0.48s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 13
% Syntax : Number of formulae : 44 ( 11 unt; 0 def)
% Number of atoms : 122 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 133 ( 55 ~; 35 |; 27 &)
% ( 7 <=>; 9 =>; 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 : 117 ( 79 !; 38 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f117,plain,
$false,
inference(resolution,[],[f107,f99]) ).
fof(f99,plain,
model(sK19,sK17),
inference(cnf_transformation,[],[f76]) ).
fof(f76,plain,
( ~ model(sK18,sK17)
& model(sK19,sK17) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK17,sK18,sK19])],[f42,f75,f74,f73]) ).
fof(f73,plain,
( ? [X0] :
( ? [X1] : ~ model(X1,X0)
& ? [X2] : model(X2,X0) )
=> ( ? [X1] : ~ model(X1,sK17)
& ? [X2] : model(X2,sK17) ) ),
introduced(choice_axiom,[]) ).
fof(f74,plain,
( ? [X1] : ~ model(X1,sK17)
=> ~ model(sK18,sK17) ),
introduced(choice_axiom,[]) ).
fof(f75,plain,
( ? [X2] : model(X2,sK17)
=> model(sK19,sK17) ),
introduced(choice_axiom,[]) ).
fof(f42,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/sandbox/benchmark/theBenchmark.p',satisfiable) ).
fof(f107,plain,
! [X0,X1] : ~ model(X0,X1),
inference(subsumption_resolution,[],[f106,f98]) ).
fof(f98,plain,
! [X1] : ~ model(X1,sK16),
inference(cnf_transformation,[],[f72]) ).
fof(f72,plain,
! [X1] : ~ model(X1,sK16),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK16])],[f41,f71]) ).
fof(f71,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/sandbox/benchmark/theBenchmark.p',contradiction) ).
fof(f106,plain,
! [X0,X1] :
( model(sK2(sK16),sK16)
| ~ model(X0,X1) ),
inference(resolution,[],[f104,f98]) ).
fof(f104,plain,
! [X2,X0,X1] :
( model(sK0(X2,X1),X2)
| model(sK2(X2),X2)
| ~ model(X0,X1) ),
inference(resolution,[],[f103,f81]) ).
fof(f81,plain,
! [X0,X1] :
( status(X0,X1,thm)
| model(sK0(X0,X1),X0) ),
inference(cnf_transformation,[],[f52]) ).
fof(f52,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])],[f50,f51]) ).
fof(f51,plain,
! [X0,X1] :
( ? [X3] :
( ~ model(X3,X1)
& model(X3,X0) )
=> ( ~ model(sK0(X0,X1),X1)
& model(sK0(X0,X1),X0) ) ),
introduced(choice_axiom,[]) ).
fof(f50,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,[],[f49]) ).
fof(f49,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,[],[f46]) ).
fof(f46,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/benchmark/theBenchmark.p',thm) ).
fof(f103,plain,
! [X2,X0,X1] :
( ~ status(X0,X1,thm)
| ~ model(X2,X1)
| model(sK2(X0),X0) ),
inference(resolution,[],[f102,f84]) ).
fof(f84,plain,
! [X0,X1,X4] :
( status(X0,X1,sca)
| ~ model(X4,X1)
| model(sK2(X0),X0) ),
inference(cnf_transformation,[],[f58]) ).
fof(f58,plain,
! [X0,X1] :
( ( ( model(sK1(X1),X1)
& ! [X3] : ~ model(X3,X0) )
| ~ status(X0,X1,sca) )
& ( status(X0,X1,sca)
| ! [X4] : ~ model(X4,X1)
| model(sK2(X0),X0) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK1,sK2])],[f55,f57,f56]) ).
fof(f56,plain,
! [X1] :
( ? [X2] : model(X2,X1)
=> model(sK1(X1),X1) ),
introduced(choice_axiom,[]) ).
fof(f57,plain,
! [X0] :
( ? [X5] : model(X5,X0)
=> model(sK2(X0),X0) ),
introduced(choice_axiom,[]) ).
fof(f55,plain,
! [X0,X1] :
( ( ( ? [X2] : model(X2,X1)
& ! [X3] : ~ model(X3,X0) )
| ~ status(X0,X1,sca) )
& ( status(X0,X1,sca)
| ! [X4] : ~ model(X4,X1)
| ? [X5] : model(X5,X0) ) ),
inference(rectify,[],[f54]) ).
fof(f54,plain,
! [X0,X1] :
( ( ( ? [X2] : model(X2,X1)
& ! [X3] : ~ model(X3,X0) )
| ~ status(X0,X1,sca) )
& ( status(X0,X1,sca)
| ! [X2] : ~ model(X2,X1)
| ? [X3] : model(X3,X0) ) ),
inference(flattening,[],[f53]) ).
fof(f53,plain,
! [X0,X1] :
( ( ( ? [X2] : model(X2,X1)
& ! [X3] : ~ model(X3,X0) )
| ~ status(X0,X1,sca) )
& ( status(X0,X1,sca)
| ! [X2] : ~ model(X2,X1)
| ? [X3] : model(X3,X0) ) ),
inference(nnf_transformation,[],[f47]) ).
fof(f47,plain,
! [X0,X1] :
( ( ? [X2] : model(X2,X1)
& ! [X3] : ~ model(X3,X0) )
<=> status(X0,X1,sca) ),
inference(ennf_transformation,[],[f37]) ).
fof(f37,plain,
! [X0,X1] :
( ( ? [X2] : model(X2,X1)
& ~ ? [X3] : model(X3,X0) )
<=> status(X0,X1,sca) ),
inference(rectify,[],[f14]) ).
fof(f14,axiom,
! [X0,X1] :
( ( ? [X3] : model(X3,X1)
& ~ ? [X2] : model(X2,X0) )
<=> status(X0,X1,sca) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sca) ).
fof(f102,plain,
! [X0,X1] :
( ~ status(X0,X1,sca)
| ~ status(X0,X1,thm) ),
inference(resolution,[],[f79,f80]) ).
fof(f80,plain,
! [X2,X3,X0,X1] :
( mighta(X0,X1)
| ~ status(X2,X3,X1)
| ~ status(X2,X3,X0) ),
inference(cnf_transformation,[],[f45]) ).
fof(f45,plain,
! [X0,X1] :
( mighta(X0,X1)
| ! [X2,X3] :
( ~ status(X2,X3,X1)
| ~ status(X2,X3,X0) ) ),
inference(ennf_transformation,[],[f44]) ).
fof(f44,plain,
! [X0,X1] :
( ? [X2,X3] :
( status(X2,X3,X1)
& status(X2,X3,X0) )
=> mighta(X0,X1) ),
inference(unused_predicate_definition_removal,[],[f36]) ).
fof(f36,plain,
! [X0,X1] :
( ? [X2,X3] :
( status(X2,X3,X1)
& status(X2,X3,X0) )
<=> mighta(X0,X1) ),
inference(rectify,[],[f20]) ).
fof(f20,axiom,
! [X6,X7] :
( ? [X0,X1] :
( status(X0,X1,X7)
& status(X0,X1,X6) )
<=> mighta(X6,X7) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mighta) ).
fof(f79,plain,
~ mighta(sca,thm),
inference(cnf_transformation,[],[f35]) ).
fof(f35,plain,
~ mighta(sca,thm),
inference(flattening,[],[f34]) ).
fof(f34,negated_conjecture,
~ mighta(sca,thm),
inference(negated_conjecture,[],[f33]) ).
fof(f33,conjecture,
mighta(sca,thm),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mighta_sca_thm) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : KRS266+1 : TPTP v8.2.0. Bugfixed v5.4.0.
% 0.12/0.14 % 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
% 0.14/0.36 % Computer : n018.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 : Sat May 18 22:10:22 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/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.48/0.68 % (13639)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 (2996ds/51Mi)
% 0.48/0.68 % (13644)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 (2996ds/83Mi)
% 0.48/0.68 % (13644)Refutation not found, incomplete strategy% (13644)------------------------------
% 0.48/0.68 % (13644)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.48/0.68 % (13644)Termination reason: Refutation not found, incomplete strategy
% 0.48/0.68
% 0.48/0.68 % (13644)Memory used [KB]: 1064
% 0.48/0.68 % (13644)Time elapsed: 0.002 s
% 0.48/0.68 % (13644)Instructions burned: 3 (million)
% 0.48/0.68 % (13638)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 (2996ds/34Mi)
% 0.48/0.68 % (13640)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on theBenchmark for (2996ds/78Mi)
% 0.48/0.68 % (13644)------------------------------
% 0.48/0.68 % (13644)------------------------------
% 0.48/0.68 % (13641)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on theBenchmark for (2996ds/33Mi)
% 0.48/0.68 % (13643)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on theBenchmark for (2996ds/45Mi)
% 0.48/0.68 % (13642)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 (2996ds/34Mi)
% 0.48/0.68 % (13645)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 (2996ds/56Mi)
% 0.48/0.68 % (13641)Refutation not found, incomplete strategy% (13641)------------------------------
% 0.48/0.68 % (13641)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.48/0.68 % (13639)Also succeeded, but the first one will report.
% 0.48/0.68 % (13645)First to succeed.
% 0.48/0.68 % (13643)Refutation not found, incomplete strategy% (13643)------------------------------
% 0.48/0.68 % (13643)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.48/0.68 % (13643)Termination reason: Refutation not found, incomplete strategy
% 0.48/0.68
% 0.48/0.68 % (13643)Memory used [KB]: 1063
% 0.48/0.68 % (13643)Time elapsed: 0.003 s
% 0.48/0.68 % (13643)Instructions burned: 2 (million)
% 0.48/0.68 % (13641)Termination reason: Refutation not found, incomplete strategy
% 0.48/0.68
% 0.48/0.68 % (13641)Memory used [KB]: 1071
% 0.48/0.68 % (13641)Time elapsed: 0.003 s
% 0.48/0.68 % (13641)Instructions burned: 2 (million)
% 0.48/0.68 % (13638)Refutation not found, incomplete strategy% (13638)------------------------------
% 0.48/0.68 % (13638)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.48/0.68 % (13638)Termination reason: Refutation not found, incomplete strategy
% 0.48/0.68
% 0.48/0.68 % (13638)Memory used [KB]: 1075
% 0.48/0.68 % (13638)Time elapsed: 0.003 s
% 0.48/0.68 % (13638)Instructions burned: 3 (million)
% 0.48/0.68 % (13643)------------------------------
% 0.48/0.68 % (13643)------------------------------
% 0.48/0.68 % (13645)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-13636"
% 0.48/0.68 % (13641)------------------------------
% 0.48/0.68 % (13641)------------------------------
% 0.48/0.68 % (13642)Refutation not found, incomplete strategy% (13642)------------------------------
% 0.48/0.68 % (13642)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.48/0.68 % (13642)Termination reason: Refutation not found, incomplete strategy
% 0.48/0.68
% 0.48/0.68 % (13642)Memory used [KB]: 1179
% 0.48/0.68 % (13642)Time elapsed: 0.003 s
% 0.48/0.68 % (13642)Instructions burned: 5 (million)
% 0.48/0.68 % (13638)------------------------------
% 0.48/0.68 % (13638)------------------------------
% 0.48/0.68 % (13642)------------------------------
% 0.48/0.68 % (13642)------------------------------
% 0.48/0.68 % (13640)Also succeeded, but the first one will report.
% 0.48/0.68 % (13645)Refutation found. Thanks to Tanya!
% 0.48/0.68 % SZS status Theorem for theBenchmark
% 0.48/0.68 % SZS output start Proof for theBenchmark
% See solution above
% 0.48/0.68 % (13645)------------------------------
% 0.48/0.68 % (13645)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.48/0.68 % (13645)Termination reason: Refutation
% 0.48/0.68
% 0.48/0.68 % (13645)Memory used [KB]: 1090
% 0.48/0.68 % (13645)Time elapsed: 0.002 s
% 0.48/0.68 % (13645)Instructions burned: 4 (million)
% 0.48/0.68 % (13636)Success in time 0.315 s
% 0.48/0.68 % Vampire---4.8 exiting
%------------------------------------------------------------------------------