TSTP Solution File: KRS258+1 by Vampire---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : KRS258+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 : n013.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 07:18:32 EDT 2024
% Result : Theorem 0.55s 0.76s
% Output : Refutation 0.55s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 11
% Syntax : Number of formulae : 42 ( 7 unt; 0 def)
% Number of atoms : 155 ( 0 equ)
% Maximal formula atoms : 12 ( 3 avg)
% Number of connectives : 182 ( 69 ~; 61 |; 36 &)
% ( 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 : 8 ( 8 usr; 5 con; 0-2 aty)
% Number of variables : 112 ( 80 !; 32 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f141,plain,
$false,
inference(resolution,[],[f129,f100]) ).
fof(f100,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])],[f42,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(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/sandbox2/tmp/tmp.YLX5l2CsfM/Vampire---4.8_21220',satisfiable) ).
fof(f129,plain,
! [X0,X1] : ~ model(X0,X1),
inference(subsumption_resolution,[],[f128,f127]) ).
fof(f127,plain,
! [X0,X1] :
( ~ model(X0,X1)
| ~ model(sK0(X1,X1),X1) ),
inference(resolution,[],[f119,f81]) ).
fof(f81,plain,
! [X0,X1] :
( status(X0,X1,thm)
| ~ model(sK0(X0,X1),X1) ),
inference(cnf_transformation,[],[f51]) ).
fof(f51,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])],[f49,f50]) ).
fof(f50,plain,
! [X0,X1] :
( ? [X3] :
( ~ model(X3,X1)
& model(X3,X0) )
=> ( ~ model(sK0(X0,X1),X1)
& model(sK0(X0,X1),X0) ) ),
introduced(choice_axiom,[]) ).
fof(f49,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,[],[f48]) ).
fof(f48,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/sandbox2/tmp/tmp.YLX5l2CsfM/Vampire---4.8_21220',thm) ).
fof(f119,plain,
! [X0,X1] :
( ~ status(X1,X1,thm)
| ~ model(X0,X1) ),
inference(resolution,[],[f118,f115]) ).
fof(f115,plain,
! [X0,X1] :
( ~ status(X0,X1,eqv)
| ~ status(X0,X1,thm) ),
inference(resolution,[],[f79,f78]) ).
fof(f78,plain,
~ mighta(eqv,thm),
inference(cnf_transformation,[],[f35]) ).
fof(f35,plain,
~ mighta(eqv,thm),
inference(flattening,[],[f34]) ).
fof(f34,negated_conjecture,
~ mighta(eqv,thm),
inference(negated_conjecture,[],[f33]) ).
fof(f33,conjecture,
mighta(eqv,thm),
file('/export/starexec/sandbox2/tmp/tmp.YLX5l2CsfM/Vampire---4.8_21220',mighta_eqv_thm) ).
fof(f79,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/sandbox2/tmp/tmp.YLX5l2CsfM/Vampire---4.8_21220',mighta) ).
fof(f118,plain,
! [X0,X1] :
( status(X0,X0,eqv)
| ~ model(X1,X0) ),
inference(subsumption_resolution,[],[f117,f84]) ).
fof(f84,plain,
! [X0,X1,X5] :
( ~ model(sK2(X0,X1),X1)
| status(X0,X1,eqv)
| ~ model(sK2(X0,X1),X0)
| ~ model(X5,X0) ),
inference(cnf_transformation,[],[f57]) ).
fof(f57,plain,
! [X0,X1] :
( ( ( ! [X2] :
( ( model(X2,X0)
| ~ model(X2,X1) )
& ( model(X2,X1)
| ~ model(X2,X0) ) )
& model(sK1(X0),X0) )
| ~ status(X0,X1,eqv) )
& ( status(X0,X1,eqv)
| ( ( ~ model(sK2(X0,X1),X1)
| ~ model(sK2(X0,X1),X0) )
& ( model(sK2(X0,X1),X1)
| model(sK2(X0,X1),X0) ) )
| ! [X5] : ~ model(X5,X0) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK1,sK2])],[f54,f56,f55]) ).
fof(f55,plain,
! [X0] :
( ? [X3] : model(X3,X0)
=> model(sK1(X0),X0) ),
introduced(choice_axiom,[]) ).
fof(f56,plain,
! [X0,X1] :
( ? [X4] :
( ( ~ model(X4,X1)
| ~ model(X4,X0) )
& ( model(X4,X1)
| model(X4,X0) ) )
=> ( ( ~ model(sK2(X0,X1),X1)
| ~ model(sK2(X0,X1),X0) )
& ( model(sK2(X0,X1),X1)
| model(sK2(X0,X1),X0) ) ) ),
introduced(choice_axiom,[]) ).
fof(f54,plain,
! [X0,X1] :
( ( ( ! [X2] :
( ( model(X2,X0)
| ~ model(X2,X1) )
& ( model(X2,X1)
| ~ model(X2,X0) ) )
& ? [X3] : model(X3,X0) )
| ~ status(X0,X1,eqv) )
& ( status(X0,X1,eqv)
| ? [X4] :
( ( ~ model(X4,X1)
| ~ model(X4,X0) )
& ( model(X4,X1)
| model(X4,X0) ) )
| ! [X5] : ~ model(X5,X0) ) ),
inference(rectify,[],[f53]) ).
fof(f53,plain,
! [X0,X1] :
( ( ( ! [X2] :
( ( model(X2,X0)
| ~ model(X2,X1) )
& ( model(X2,X1)
| ~ model(X2,X0) ) )
& ? [X3] : model(X3,X0) )
| ~ status(X0,X1,eqv) )
& ( status(X0,X1,eqv)
| ? [X2] :
( ( ~ model(X2,X1)
| ~ model(X2,X0) )
& ( model(X2,X1)
| model(X2,X0) ) )
| ! [X3] : ~ model(X3,X0) ) ),
inference(flattening,[],[f52]) ).
fof(f52,plain,
! [X0,X1] :
( ( ( ! [X2] :
( ( model(X2,X0)
| ~ model(X2,X1) )
& ( model(X2,X1)
| ~ model(X2,X0) ) )
& ? [X3] : model(X3,X0) )
| ~ status(X0,X1,eqv) )
& ( status(X0,X1,eqv)
| ? [X2] :
( ( ~ model(X2,X1)
| ~ model(X2,X0) )
& ( model(X2,X1)
| model(X2,X0) ) )
| ! [X3] : ~ model(X3,X0) ) ),
inference(nnf_transformation,[],[f37]) ).
fof(f37,plain,
! [X0,X1] :
( ( ! [X2] :
( model(X2,X0)
<=> model(X2,X1) )
& ? [X3] : model(X3,X0) )
<=> status(X0,X1,eqv) ),
inference(rectify,[],[f6]) ).
fof(f6,axiom,
! [X0,X1] :
( ( ! [X3] :
( model(X3,X0)
<=> model(X3,X1) )
& ? [X2] : model(X2,X0) )
<=> status(X0,X1,eqv) ),
file('/export/starexec/sandbox2/tmp/tmp.YLX5l2CsfM/Vampire---4.8_21220',eqv) ).
fof(f117,plain,
! [X0,X1] :
( model(sK2(X0,X0),X0)
| status(X0,X0,eqv)
| ~ model(X1,X0) ),
inference(factoring,[],[f83]) ).
fof(f83,plain,
! [X0,X1,X5] :
( model(sK2(X0,X1),X1)
| status(X0,X1,eqv)
| model(sK2(X0,X1),X0)
| ~ model(X5,X0) ),
inference(cnf_transformation,[],[f57]) ).
fof(f128,plain,
! [X0,X1] :
( ~ model(X0,X1)
| model(sK0(X1,X1),X1) ),
inference(resolution,[],[f119,f80]) ).
fof(f80,plain,
! [X0,X1] :
( status(X0,X1,thm)
| model(sK0(X0,X1),X0) ),
inference(cnf_transformation,[],[f51]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : KRS258+1 : TPTP v8.1.2. Bugfixed v5.4.0.
% 0.13/0.14 % 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
% 0.14/0.35 % Computer : n013.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Fri May 3 19:50:53 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.14/0.35 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.YLX5l2CsfM/Vampire---4.8_21220
% 0.55/0.75 % (21397)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)
% 0.55/0.75 % (21401)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)
% 0.55/0.75 % (21399)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.55/0.75 % (21398)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)
% 0.55/0.75 % (21400)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)
% 0.55/0.75 % (21403)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)
% 0.55/0.75 % (21402)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)
% 0.55/0.75 % (21404)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)
% 0.55/0.76 % (21397)Refutation not found, incomplete strategy% (21397)------------------------------
% 0.55/0.76 % (21397)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.55/0.76 % (21397)Termination reason: Refutation not found, incomplete strategy
% 0.55/0.76
% 0.55/0.76 % (21397)Memory used [KB]: 1060
% 0.55/0.76 % (21397)Time elapsed: 0.002 s
% 0.55/0.76 % (21397)Instructions burned: 3 (million)
% 0.55/0.76 % (21397)------------------------------
% 0.55/0.76 % (21397)------------------------------
% 0.55/0.76 % (21402)Refutation not found, incomplete strategy% (21402)------------------------------
% 0.55/0.76 % (21402)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.55/0.76 % (21402)Termination reason: Refutation not found, incomplete strategy
% 0.55/0.76
% 0.55/0.76 % (21402)Memory used [KB]: 1048
% 0.55/0.76 % (21402)Time elapsed: 0.003 s
% 0.55/0.76 % (21402)Instructions burned: 3 (million)
% 0.55/0.76 % (21403)Refutation not found, incomplete strategy% (21403)------------------------------
% 0.55/0.76 % (21403)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.55/0.76 % (21403)Termination reason: Refutation not found, incomplete strategy
% 0.55/0.76
% 0.55/0.76 % (21403)Memory used [KB]: 1049
% 0.55/0.76 % (21403)Time elapsed: 0.003 s
% 0.55/0.76 % (21403)Instructions burned: 3 (million)
% 0.55/0.76 % (21402)------------------------------
% 0.55/0.76 % (21402)------------------------------
% 0.55/0.76 % (21400)Refutation not found, incomplete strategy% (21400)------------------------------
% 0.55/0.76 % (21400)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.55/0.76 % (21403)------------------------------
% 0.55/0.76 % (21403)------------------------------
% 0.55/0.76 % (21400)Termination reason: Refutation not found, incomplete strategy
% 0.55/0.76
% 0.55/0.76 % (21400)Memory used [KB]: 1063
% 0.55/0.76 % (21400)Time elapsed: 0.004 s
% 0.55/0.76 % (21400)Instructions burned: 3 (million)
% 0.55/0.76 % (21399)First to succeed.
% 0.55/0.76 % (21401)Refutation not found, incomplete strategy% (21401)------------------------------
% 0.55/0.76 % (21401)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.55/0.76 % (21400)------------------------------
% 0.55/0.76 % (21400)------------------------------
% 0.55/0.76 % (21401)Termination reason: Refutation not found, incomplete strategy
% 0.55/0.76
% 0.55/0.76 % (21401)Memory used [KB]: 1151
% 0.55/0.76 % (21401)Time elapsed: 0.004 s
% 0.55/0.76 % (21401)Instructions burned: 5 (million)
% 0.55/0.76 % (21404)Also succeeded, but the first one will report.
% 0.55/0.76 % (21401)------------------------------
% 0.55/0.76 % (21401)------------------------------
% 0.55/0.76 % (21399)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-21396"
% 0.55/0.76 % (21399)Refutation found. Thanks to Tanya!
% 0.55/0.76 % SZS status Theorem for Vampire---4
% 0.55/0.76 % SZS output start Proof for Vampire---4
% See solution above
% 0.55/0.76 % (21399)------------------------------
% 0.55/0.76 % (21399)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.55/0.76 % (21399)Termination reason: Refutation
% 0.55/0.76
% 0.55/0.76 % (21399)Memory used [KB]: 1081
% 0.55/0.76 % (21399)Time elapsed: 0.005 s
% 0.55/0.76 % (21399)Instructions burned: 5 (million)
% 0.55/0.76 % (21396)Success in time 0.397 s
% 0.62/0.76 % Vampire---4.8 exiting
%------------------------------------------------------------------------------