TSTP Solution File: KRS234+1 by Vampire---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : KRS234+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 : n015.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 07:18:24 EDT 2024
% Result : Theorem 0.57s 0.75s
% Output : Refutation 0.57s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 9
% Syntax : Number of formulae : 41 ( 11 unt; 0 def)
% Number of atoms : 115 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 118 ( 44 ~; 34 |; 23 &)
% ( 6 <=>; 9 =>; 0 <=; 2 <~>)
% Maximal formula depth : 8 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 8 ( 8 usr; 2 con; 0-2 aty)
% Number of variables : 102 ( 87 !; 15 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f120,plain,
$false,
inference(subsumption_resolution,[],[f118,f117]) ).
fof(f117,plain,
! [X0] : model(X0,sK2(uns,thm)),
inference(subsumption_resolution,[],[f116,f114]) ).
fof(f114,plain,
! [X0] : model(X0,sK1(uns,thm)),
inference(resolution,[],[f112,f91]) ).
fof(f91,plain,
! [X3,X0,X1] :
( ~ status(X0,X1,uns)
| model(X3,X0) ),
inference(cnf_transformation,[],[f61]) ).
fof(f61,plain,
! [X0,X1] :
( ( ( ! [X2] : model(X2,not(X1))
& ! [X3] : model(X3,X0) )
| ~ status(X0,X1,uns) )
& ( status(X0,X1,uns)
| ~ model(sK3(X1),not(X1))
| ~ model(sK4(X0),X0) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK3,sK4])],[f58,f60,f59]) ).
fof(f59,plain,
! [X1] :
( ? [X4] : ~ model(X4,not(X1))
=> ~ model(sK3(X1),not(X1)) ),
introduced(choice_axiom,[]) ).
fof(f60,plain,
! [X0] :
( ? [X5] : ~ model(X5,X0)
=> ~ model(sK4(X0),X0) ),
introduced(choice_axiom,[]) ).
fof(f58,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,[],[f57]) ).
fof(f57,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,[],[f56]) ).
fof(f56,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/sandbox/tmp/tmp.J9JYiMM0C4/Vampire---4.8_26357',uns) ).
fof(f112,plain,
status(sK1(uns,thm),sK2(uns,thm),uns),
inference(resolution,[],[f84,f88]) ).
fof(f88,plain,
! [X0,X1] :
( nevera(X0,X1)
| status(sK1(X0,X1),sK2(X0,X1),X0) ),
inference(cnf_transformation,[],[f55]) ).
fof(f55,plain,
! [X0,X1] :
( nevera(X0,X1)
| ( status(sK1(X0,X1),sK2(X0,X1),X1)
& status(sK1(X0,X1),sK2(X0,X1),X0) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK1,sK2])],[f48,f54]) ).
fof(f54,plain,
! [X0,X1] :
( ? [X2,X3] :
( status(X2,X3,X1)
& status(X2,X3,X0) )
=> ( status(sK1(X0,X1),sK2(X0,X1),X1)
& status(sK1(X0,X1),sK2(X0,X1),X0) ) ),
introduced(choice_axiom,[]) ).
fof(f48,plain,
! [X0,X1] :
( nevera(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,X0)
=> ~ status(X2,X3,X1) )
=> nevera(X0,X1) ),
inference(unused_predicate_definition_removal,[],[f36]) ).
fof(f36,plain,
! [X0,X1] :
( ! [X2,X3] :
( status(X2,X3,X0)
=> ~ status(X2,X3,X1) )
<=> nevera(X0,X1) ),
inference(rectify,[],[f23]) ).
fof(f23,axiom,
! [X6,X7] :
( ! [X0,X1] :
( status(X0,X1,X6)
=> ~ status(X0,X1,X7) )
<=> nevera(X6,X7) ),
file('/export/starexec/sandbox/tmp/tmp.J9JYiMM0C4/Vampire---4.8_26357',nevera) ).
fof(f84,plain,
~ nevera(uns,thm),
inference(cnf_transformation,[],[f35]) ).
fof(f35,plain,
~ nevera(uns,thm),
inference(flattening,[],[f34]) ).
fof(f34,negated_conjecture,
~ nevera(uns,thm),
inference(negated_conjecture,[],[f33]) ).
fof(f33,conjecture,
nevera(uns,thm),
file('/export/starexec/sandbox/tmp/tmp.J9JYiMM0C4/Vampire---4.8_26357',nevera_uns_thm) ).
fof(f116,plain,
! [X0] :
( ~ model(X0,sK1(uns,thm))
| model(X0,sK2(uns,thm)) ),
inference(resolution,[],[f113,f87]) ).
fof(f87,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/sandbox/tmp/tmp.J9JYiMM0C4/Vampire---4.8_26357',thm) ).
fof(f113,plain,
status(sK1(uns,thm),sK2(uns,thm),thm),
inference(resolution,[],[f84,f89]) ).
fof(f89,plain,
! [X0,X1] :
( nevera(X0,X1)
| status(sK1(X0,X1),sK2(X0,X1),X1) ),
inference(cnf_transformation,[],[f55]) ).
fof(f118,plain,
! [X0] : ~ model(X0,sK2(uns,thm)),
inference(resolution,[],[f115,f111]) ).
fof(f111,plain,
! [X0,X1] :
( ~ model(X0,not(X1))
| ~ model(X0,X1) ),
inference(cnf_transformation,[],[f83]) ).
fof(f83,plain,
! [X0,X1] :
( ( ~ model(X0,not(X1))
| ~ model(X0,X1) )
& ( model(X0,not(X1))
| model(X0,X1) ) ),
inference(nnf_transformation,[],[f45]) ).
fof(f45,plain,
! [X0,X1] :
( model(X0,X1)
<~> model(X0,not(X1)) ),
inference(rectify,[],[f25]) ).
fof(f25,axiom,
! [X8,X9] :
( model(X8,X9)
<~> model(X8,not(X9)) ),
file('/export/starexec/sandbox/tmp/tmp.J9JYiMM0C4/Vampire---4.8_26357',completeness) ).
fof(f115,plain,
! [X0] : model(X0,not(sK2(uns,thm))),
inference(resolution,[],[f112,f92]) ).
fof(f92,plain,
! [X2,X0,X1] :
( ~ status(X0,X1,uns)
| model(X2,not(X1)) ),
inference(cnf_transformation,[],[f61]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : KRS234+1 : TPTP v8.1.2. Bugfixed v5.4.0.
% 0.08/0.15 % 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
% 0.15/0.36 % Computer : n015.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 : Fri May 3 19:53:08 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/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t 300 /export/starexec/sandbox/tmp/tmp.J9JYiMM0C4/Vampire---4.8_26357
% 0.57/0.75 % (26726)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 % (26719)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 % (26721)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 % (26720)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 % (26723)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 % (26726)First to succeed.
% 0.57/0.75 % (26724)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 % (26722)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 % (26725)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 % (26726)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-26590"
% 0.57/0.75 % (26726)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 % (26726)------------------------------
% 0.57/0.75 % (26726)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.57/0.75 % (26726)Termination reason: Refutation
% 0.57/0.75
% 0.57/0.75 % (26726)Memory used [KB]: 1073
% 0.57/0.75 % (26726)Time elapsed: 0.003 s
% 0.57/0.75 % (26726)Instructions burned: 4 (million)
% 0.57/0.75 % (26590)Success in time 0.378 s
% 0.57/0.75 % Vampire---4.8 exiting
%------------------------------------------------------------------------------