TSTP Solution File: KRS268+1 by Vampire---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : KRS268+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 : n017.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 07:18:34 EDT 2024
% Result : Theorem 0.58s 0.75s
% Output : Refutation 0.58s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 15
% Syntax : Number of formulae : 55 ( 14 unt; 0 def)
% Number of atoms : 159 ( 0 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 177 ( 73 ~; 47 |; 39 &)
% ( 9 <=>; 9 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 6 ( 5 usr; 3 prp; 0-3 aty)
% Number of functors : 11 ( 11 usr; 7 con; 0-2 aty)
% Number of variables : 141 ( 95 !; 46 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f135,plain,
$false,
inference(avatar_sat_refutation,[],[f115,f132,f134]) ).
fof(f134,plain,
~ spl22_1,
inference(avatar_contradiction_clause,[],[f133]) ).
fof(f133,plain,
( $false
| ~ spl22_1 ),
inference(resolution,[],[f111,f100]) ).
fof(f100,plain,
! [X1] : ~ model(X1,sK17),
inference(cnf_transformation,[],[f73]) ).
fof(f73,plain,
! [X1] : ~ model(X1,sK17),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK17])],[f41,f72]) ).
fof(f72,plain,
( ? [X0] :
! [X1] : ~ model(X1,X0)
=> ! [X1] : ~ model(X1,sK17) ),
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/tmp/tmp.6ggvy34iXF/Vampire---4.8_18439',contradiction) ).
fof(f111,plain,
( ! [X3] : model(sK3(X3),X3)
| ~ spl22_1 ),
inference(avatar_component_clause,[],[f110]) ).
fof(f110,plain,
( spl22_1
<=> ! [X3] : model(sK3(X3),X3) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_1])]) ).
fof(f132,plain,
~ spl22_2,
inference(avatar_contradiction_clause,[],[f131]) ).
fof(f131,plain,
( $false
| ~ spl22_2 ),
inference(resolution,[],[f117,f91]) ).
fof(f91,plain,
model(sK7,sK6),
inference(cnf_transformation,[],[f62]) ).
fof(f62,plain,
( model(sK7,sK6)
& ~ model(sK4,sK6)
& model(sK4,sK5) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK4,sK5,sK6,sK7])],[f38,f61,f60]) ).
fof(f60,plain,
( ? [X0,X1,X2] :
( ? [X3] : model(X3,X2)
& ~ model(X0,X2)
& model(X0,X1) )
=> ( ? [X3] : model(X3,sK6)
& ~ model(sK4,sK6)
& model(sK4,sK5) ) ),
introduced(choice_axiom,[]) ).
fof(f61,plain,
( ? [X3] : model(X3,sK6)
=> model(sK7,sK6) ),
introduced(choice_axiom,[]) ).
fof(f38,plain,
? [X0,X1,X2] :
( ? [X3] : model(X3,X2)
& ~ model(X0,X2)
& model(X0,X1) ),
inference(rectify,[],[f32]) ).
fof(f32,axiom,
? [X2,X0,X1] :
( ? [X3] : model(X3,X1)
& ~ model(X2,X1)
& model(X2,X0) ),
file('/export/starexec/sandbox2/tmp/tmp.6ggvy34iXF/Vampire---4.8_18439',non_thm_spt) ).
fof(f117,plain,
( ! [X0] : ~ model(X0,sK6)
| ~ spl22_2 ),
inference(resolution,[],[f114,f90]) ).
fof(f90,plain,
~ model(sK4,sK6),
inference(cnf_transformation,[],[f62]) ).
fof(f114,plain,
( ! [X2,X0,X1] :
( model(X0,X1)
| ~ model(X2,X1) )
| ~ spl22_2 ),
inference(avatar_component_clause,[],[f113]) ).
fof(f113,plain,
( spl22_2
<=> ! [X2,X0,X1] :
( model(X0,X1)
| ~ model(X2,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_2])]) ).
fof(f115,plain,
( spl22_1
| spl22_2 ),
inference(avatar_split_clause,[],[f108,f113,f110]) ).
fof(f108,plain,
! [X2,X3,X0,X1] :
( model(X0,X1)
| ~ model(X2,X1)
| model(sK3(X3),X3) ),
inference(resolution,[],[f107,f85]) ).
fof(f85,plain,
! [X0,X1,X6,X5] :
( status(X0,X1,wca)
| model(X5,X1)
| ~ model(X6,X1)
| model(sK3(X0),X0) ),
inference(cnf_transformation,[],[f59]) ).
fof(f59,plain,
! [X0,X1] :
( ( ( ~ model(sK1(X1),X1)
& model(sK2(X1),X1)
& ! [X4] : ~ model(X4,X0) )
| ~ status(X0,X1,wca) )
& ( status(X0,X1,wca)
| ! [X5] : model(X5,X1)
| ! [X6] : ~ model(X6,X1)
| model(sK3(X0),X0) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK1,sK2,sK3])],[f55,f58,f57,f56]) ).
fof(f56,plain,
! [X1] :
( ? [X2] : ~ model(X2,X1)
=> ~ model(sK1(X1),X1) ),
introduced(choice_axiom,[]) ).
fof(f57,plain,
! [X1] :
( ? [X3] : model(X3,X1)
=> model(sK2(X1),X1) ),
introduced(choice_axiom,[]) ).
fof(f58,plain,
! [X0] :
( ? [X7] : model(X7,X0)
=> model(sK3(X0),X0) ),
introduced(choice_axiom,[]) ).
fof(f55,plain,
! [X0,X1] :
( ( ( ? [X2] : ~ model(X2,X1)
& ? [X3] : model(X3,X1)
& ! [X4] : ~ model(X4,X0) )
| ~ status(X0,X1,wca) )
& ( status(X0,X1,wca)
| ! [X5] : model(X5,X1)
| ! [X6] : ~ model(X6,X1)
| ? [X7] : model(X7,X0) ) ),
inference(rectify,[],[f54]) ).
fof(f54,plain,
! [X0,X1] :
( ( ( ? [X2] : ~ model(X2,X1)
& ? [X3] : model(X3,X1)
& ! [X4] : ~ model(X4,X0) )
| ~ status(X0,X1,wca) )
& ( status(X0,X1,wca)
| ! [X2] : model(X2,X1)
| ! [X3] : ~ model(X3,X1)
| ? [X4] : model(X4,X0) ) ),
inference(flattening,[],[f53]) ).
fof(f53,plain,
! [X0,X1] :
( ( ( ? [X2] : ~ model(X2,X1)
& ? [X3] : model(X3,X1)
& ! [X4] : ~ model(X4,X0) )
| ~ status(X0,X1,wca) )
& ( status(X0,X1,wca)
| ! [X2] : model(X2,X1)
| ! [X3] : ~ model(X3,X1)
| ? [X4] : model(X4,X0) ) ),
inference(nnf_transformation,[],[f47]) ).
fof(f47,plain,
! [X0,X1] :
( ( ? [X2] : ~ model(X2,X1)
& ? [X3] : model(X3,X1)
& ! [X4] : ~ model(X4,X0) )
<=> status(X0,X1,wca) ),
inference(ennf_transformation,[],[f37]) ).
fof(f37,plain,
! [X0,X1] :
( ( ? [X2] : ~ model(X2,X1)
& ? [X3] : model(X3,X1)
& ~ ? [X4] : model(X4,X0) )
<=> status(X0,X1,wca) ),
inference(rectify,[],[f16]) ).
fof(f16,axiom,
! [X0,X1] :
( ( ? [X4] : ~ model(X4,X1)
& ? [X3] : model(X3,X1)
& ~ ? [X2] : model(X2,X0) )
<=> status(X0,X1,wca) ),
file('/export/starexec/sandbox2/tmp/tmp.6ggvy34iXF/Vampire---4.8_18439',wca) ).
fof(f107,plain,
! [X0,X1] : ~ status(X0,X1,wca),
inference(subsumption_resolution,[],[f105,f86]) ).
fof(f86,plain,
! [X0,X1,X4] :
( ~ status(X0,X1,wca)
| ~ model(X4,X0) ),
inference(cnf_transformation,[],[f59]) ).
fof(f105,plain,
! [X0,X1] :
( ~ status(X0,X1,wca)
| model(sK0(X0,X1),X0) ),
inference(resolution,[],[f104,f82]) ).
fof(f82,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/sandbox2/tmp/tmp.6ggvy34iXF/Vampire---4.8_18439',thm) ).
fof(f104,plain,
! [X0,X1] :
( ~ status(X0,X1,thm)
| ~ status(X0,X1,wca) ),
inference(resolution,[],[f80,f81]) ).
fof(f81,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.6ggvy34iXF/Vampire---4.8_18439',mighta) ).
fof(f80,plain,
~ mighta(wca,thm),
inference(cnf_transformation,[],[f35]) ).
fof(f35,plain,
~ mighta(wca,thm),
inference(flattening,[],[f34]) ).
fof(f34,negated_conjecture,
~ mighta(wca,thm),
inference(negated_conjecture,[],[f33]) ).
fof(f33,conjecture,
mighta(wca,thm),
file('/export/starexec/sandbox2/tmp/tmp.6ggvy34iXF/Vampire---4.8_18439',mighta_wca_thm) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13 % Problem : KRS268+1 : TPTP v8.1.2. 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
% 0.15/0.35 % Computer : n017.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 300
% 0.15/0.35 % DateTime : Fri May 3 19:50:53 EDT 2024
% 0.15/0.35 % CPUTime :
% 0.15/0.35 This is a FOF_THM_RFO_NEQ problem
% 0.15/0.36 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.6ggvy34iXF/Vampire---4.8_18439
% 0.58/0.75 % (18767)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)
% 0.58/0.75 % (18760)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)
% 0.58/0.75 % (18762)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.58/0.75 % (18764)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)
% 0.58/0.75 % (18763)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)
% 0.58/0.75 % (18765)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)
% 0.58/0.75 % (18761)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)
% 0.58/0.75 % (18767)First to succeed.
% 0.58/0.75 % (18766)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)
% 0.58/0.75 % (18767)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-18603"
% 0.58/0.75 % (18767)Refutation found. Thanks to Tanya!
% 0.58/0.75 % SZS status Theorem for Vampire---4
% 0.58/0.75 % SZS output start Proof for Vampire---4
% See solution above
% 0.58/0.75 % (18767)------------------------------
% 0.58/0.75 % (18767)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.58/0.75 % (18767)Termination reason: Refutation
% 0.58/0.75
% 0.58/0.75 % (18767)Memory used [KB]: 1085
% 0.58/0.75 % (18767)Time elapsed: 0.003 s
% 0.58/0.75 % (18767)Instructions burned: 5 (million)
% 0.58/0.75 % (18603)Success in time 0.389 s
% 0.58/0.75 % Vampire---4.8 exiting
%------------------------------------------------------------------------------