TSTP Solution File: KRS191+1 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : KRS191+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 : n014.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 07:18:10 EDT 2024
% Result : Theorem 0.61s 0.76s
% Output : Refutation 0.61s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 9
% Syntax : Number of formulae : 34 ( 9 unt; 0 def)
% Number of atoms : 110 ( 0 equ)
% Maximal formula atoms : 8 ( 3 avg)
% Number of connectives : 122 ( 46 ~; 32 |; 28 &)
% ( 6 <=>; 10 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 6 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 : 97 ( 74 !; 23 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f113,plain,
$false,
inference(subsumption_resolution,[],[f112,f110]) ).
fof(f110,plain,
! [X0] : model(X0,sK1(wtc,thm)),
inference(resolution,[],[f106,f90]) ).
fof(f90,plain,
! [X2,X0,X1] :
( ~ status(X0,X1,wtc)
| model(X2,X1) ),
inference(cnf_transformation,[],[f60]) ).
fof(f60,plain,
! [X0,X1] :
( ( ( ! [X2] : model(X2,X1)
& ~ model(sK3(X0),X0)
& model(sK4(X0),X0) )
| ~ status(X0,X1,wtc) )
& ( status(X0,X1,wtc)
| ~ model(sK5(X1),X1)
| ! [X6] : model(X6,X0)
| ! [X7] : ~ model(X7,X0) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK3,sK4,sK5])],[f56,f59,f58,f57]) ).
fof(f57,plain,
! [X0] :
( ? [X3] : ~ model(X3,X0)
=> ~ model(sK3(X0),X0) ),
introduced(choice_axiom,[]) ).
fof(f58,plain,
! [X0] :
( ? [X4] : model(X4,X0)
=> model(sK4(X0),X0) ),
introduced(choice_axiom,[]) ).
fof(f59,plain,
! [X1] :
( ? [X5] : ~ model(X5,X1)
=> ~ model(sK5(X1),X1) ),
introduced(choice_axiom,[]) ).
fof(f56,plain,
! [X0,X1] :
( ( ( ! [X2] : model(X2,X1)
& ? [X3] : ~ model(X3,X0)
& ? [X4] : model(X4,X0) )
| ~ status(X0,X1,wtc) )
& ( status(X0,X1,wtc)
| ? [X5] : ~ model(X5,X1)
| ! [X6] : model(X6,X0)
| ! [X7] : ~ model(X7,X0) ) ),
inference(rectify,[],[f55]) ).
fof(f55,plain,
! [X0,X1] :
( ( ( ! [X2] : model(X2,X1)
& ? [X3] : ~ model(X3,X0)
& ? [X4] : model(X4,X0) )
| ~ status(X0,X1,wtc) )
& ( status(X0,X1,wtc)
| ? [X2] : ~ model(X2,X1)
| ! [X3] : model(X3,X0)
| ! [X4] : ~ model(X4,X0) ) ),
inference(flattening,[],[f54]) ).
fof(f54,plain,
! [X0,X1] :
( ( ( ! [X2] : model(X2,X1)
& ? [X3] : ~ model(X3,X0)
& ? [X4] : model(X4,X0) )
| ~ status(X0,X1,wtc) )
& ( status(X0,X1,wtc)
| ? [X2] : ~ model(X2,X1)
| ! [X3] : model(X3,X0)
| ! [X4] : ~ model(X4,X0) ) ),
inference(nnf_transformation,[],[f37]) ).
fof(f37,plain,
! [X0,X1] :
( ( ! [X2] : model(X2,X1)
& ? [X3] : ~ model(X3,X0)
& ? [X4] : model(X4,X0) )
<=> status(X0,X1,wtc) ),
inference(rectify,[],[f11]) ).
fof(f11,axiom,
! [X0,X1] :
( ( ! [X4] : model(X4,X1)
& ? [X3] : ~ model(X3,X0)
& ? [X2] : model(X2,X0) )
<=> status(X0,X1,wtc) ),
file('/export/starexec/sandbox/tmp/tmp.g8Uv2d2PCr/Vampire---4.8_8625',wtc) ).
fof(f106,plain,
status(sK0(wtc,thm),sK1(wtc,thm),wtc),
inference(resolution,[],[f81,f82]) ).
fof(f82,plain,
! [X0,X1] :
( isa(X0,X1)
| status(sK0(X0,X1),sK1(X0,X1),X0) ),
inference(cnf_transformation,[],[f49]) ).
fof(f49,plain,
! [X0,X1] :
( isa(X0,X1)
| ( ~ status(sK0(X0,X1),sK1(X0,X1),X1)
& status(sK0(X0,X1),sK1(X0,X1),X0) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f45,f48]) ).
fof(f48,plain,
! [X0,X1] :
( ? [X2,X3] :
( ~ status(X2,X3,X1)
& status(X2,X3,X0) )
=> ( ~ status(sK0(X0,X1),sK1(X0,X1),X1)
& status(sK0(X0,X1),sK1(X0,X1),X0) ) ),
introduced(choice_axiom,[]) ).
fof(f45,plain,
! [X0,X1] :
( isa(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,X0)
=> status(X2,X3,X1) )
=> isa(X0,X1) ),
inference(unused_predicate_definition_removal,[],[f36]) ).
fof(f36,plain,
! [X0,X1] :
( ! [X2,X3] :
( status(X2,X3,X0)
=> status(X2,X3,X1) )
<=> isa(X0,X1) ),
inference(rectify,[],[f21]) ).
fof(f21,axiom,
! [X6,X7] :
( ! [X0,X1] :
( status(X0,X1,X6)
=> status(X0,X1,X7) )
<=> isa(X6,X7) ),
file('/export/starexec/sandbox/tmp/tmp.g8Uv2d2PCr/Vampire---4.8_8625',isa) ).
fof(f81,plain,
~ isa(wtc,thm),
inference(cnf_transformation,[],[f35]) ).
fof(f35,plain,
~ isa(wtc,thm),
inference(flattening,[],[f34]) ).
fof(f34,negated_conjecture,
~ isa(wtc,thm),
inference(negated_conjecture,[],[f33]) ).
fof(f33,conjecture,
isa(wtc,thm),
file('/export/starexec/sandbox/tmp/tmp.g8Uv2d2PCr/Vampire---4.8_8625',isa_wtc_thm) ).
fof(f112,plain,
~ model(sK2(sK0(wtc,thm),sK1(wtc,thm)),sK1(wtc,thm)),
inference(resolution,[],[f107,f85]) ).
fof(f85,plain,
! [X0,X1] :
( status(X0,X1,thm)
| ~ model(sK2(X0,X1),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(sK2(X0,X1),X1)
& model(sK2(X0,X1),X0) ) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK2])],[f51,f52]) ).
fof(f52,plain,
! [X0,X1] :
( ? [X3] :
( ~ model(X3,X1)
& model(X3,X0) )
=> ( ~ model(sK2(X0,X1),X1)
& model(sK2(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,[],[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/tmp/tmp.g8Uv2d2PCr/Vampire---4.8_8625',thm) ).
fof(f107,plain,
~ status(sK0(wtc,thm),sK1(wtc,thm),thm),
inference(resolution,[],[f81,f83]) ).
fof(f83,plain,
! [X0,X1] :
( isa(X0,X1)
| ~ status(sK0(X0,X1),sK1(X0,X1),X1) ),
inference(cnf_transformation,[],[f49]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : KRS191+1 : TPTP v8.1.2. Bugfixed v5.4.0.
% 0.07/0.15 % 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
% 0.15/0.37 % Computer : n014.cluster.edu
% 0.15/0.37 % Model : x86_64 x86_64
% 0.15/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.37 % Memory : 8042.1875MB
% 0.15/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.37 % CPULimit : 300
% 0.15/0.37 % WCLimit : 300
% 0.15/0.37 % DateTime : Fri May 3 19:52:23 EDT 2024
% 0.15/0.37 % CPUTime :
% 0.15/0.37 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.g8Uv2d2PCr/Vampire---4.8_8625
% 0.61/0.76 % (9027)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)
% 0.61/0.76 % (9023)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)
% 0.61/0.76 % (9022)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.61/0.76 % (9021)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)
% 0.61/0.76 % (9027)First to succeed.
% 0.61/0.76 % (9020)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)
% 0.61/0.76 % (9025)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)
% 0.61/0.76 % (9024)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)
% 0.61/0.76 % (9026)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)
% 0.61/0.76 % (9027)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-8864"
% 0.61/0.76 % (9027)Refutation found. Thanks to Tanya!
% 0.61/0.76 % SZS status Theorem for Vampire---4
% 0.61/0.76 % SZS output start Proof for Vampire---4
% See solution above
% 0.61/0.76 % (9027)------------------------------
% 0.61/0.76 % (9027)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.61/0.76 % (9027)Termination reason: Refutation
% 0.61/0.76
% 0.61/0.76 % (9027)Memory used [KB]: 1062
% 0.61/0.76 % (9027)Time elapsed: 0.003 s
% 0.61/0.76 % (9027)Instructions burned: 4 (million)
% 0.61/0.76 % (8864)Success in time 0.384 s
% 0.61/0.76 % Vampire---4.8 exiting
%------------------------------------------------------------------------------