TSTP Solution File: KRS260+1 by Vampire---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : KRS260+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 : n019.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 07:18:33 EDT 2024
% Result : Theorem 0.55s 0.75s
% Output : Refutation 0.55s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 13
% Syntax : Number of formulae : 47 ( 12 unt; 0 def)
% Number of atoms : 174 ( 0 equ)
% Maximal formula atoms : 12 ( 3 avg)
% Number of connectives : 199 ( 72 ~; 55 |; 54 &)
% ( 7 <=>; 11 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 6 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 11 ( 11 usr; 7 con; 0-2 aty)
% Number of variables : 139 ( 95 !; 44 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f155,plain,
$false,
inference(resolution,[],[f142,f93]) ).
fof(f93,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/sandbox/tmp/tmp.BwrU3nIKgL/Vampire---4.8_32231',non_thm_spt) ).
fof(f142,plain,
! [X0] : ~ model(X0,sK6),
inference(resolution,[],[f135,f92]) ).
fof(f92,plain,
~ model(sK4,sK6),
inference(cnf_transformation,[],[f62]) ).
fof(f135,plain,
! [X2,X0,X1] :
( model(X2,X1)
| ~ model(X0,X1) ),
inference(subsumption_resolution,[],[f133,f105]) ).
fof(f105,plain,
! [X1] : model(X1,sK21),
inference(cnf_transformation,[],[f79]) ).
fof(f79,plain,
! [X1] : model(X1,sK21),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK21])],[f43,f78]) ).
fof(f78,plain,
( ? [X0] :
! [X1] : model(X1,X0)
=> ! [X1] : model(X1,sK21) ),
introduced(choice_axiom,[]) ).
fof(f43,plain,
? [X0] :
! [X1] : model(X1,X0),
inference(rectify,[],[f27]) ).
fof(f27,axiom,
? [X9] :
! [X8] : model(X8,X9),
file('/export/starexec/sandbox/tmp/tmp.BwrU3nIKgL/Vampire---4.8_32231',tautology) ).
fof(f133,plain,
! [X2,X0,X1] :
( ~ model(X0,X1)
| model(X2,X1)
| ~ model(sK0(X1,sK21),sK21) ),
inference(resolution,[],[f126,f83]) ).
fof(f83,plain,
! [X0,X1] :
( status(X0,X1,thm)
| ~ model(sK0(X0,X1),X1) ),
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/tmp/tmp.BwrU3nIKgL/Vampire---4.8_32231',thm) ).
fof(f126,plain,
! [X2,X0,X1] :
( ~ status(X1,sK21,thm)
| ~ model(X2,X1)
| model(X0,X1) ),
inference(resolution,[],[f125,f118]) ).
fof(f118,plain,
! [X0,X1] :
( ~ status(X0,X1,wec)
| ~ status(X0,X1,thm) ),
inference(resolution,[],[f81,f80]) ).
fof(f80,plain,
~ mighta(wec,thm),
inference(cnf_transformation,[],[f35]) ).
fof(f35,plain,
~ mighta(wec,thm),
inference(flattening,[],[f34]) ).
fof(f34,negated_conjecture,
~ mighta(wec,thm),
inference(negated_conjecture,[],[f33]) ).
fof(f33,conjecture,
mighta(wec,thm),
file('/export/starexec/sandbox/tmp/tmp.BwrU3nIKgL/Vampire---4.8_32231',mighta_wec_thm) ).
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/sandbox/tmp/tmp.BwrU3nIKgL/Vampire---4.8_32231',mighta) ).
fof(f125,plain,
! [X2,X0,X1] :
( status(X1,sK21,wec)
| model(X0,X1)
| ~ model(X2,X1) ),
inference(subsumption_resolution,[],[f122,f105]) ).
fof(f122,plain,
! [X2,X0,X1] :
( model(X0,X1)
| ~ model(X0,sK21)
| status(X1,sK21,wec)
| ~ model(X2,X1) ),
inference(resolution,[],[f86,f105]) ).
fof(f86,plain,
! [X0,X1,X7,X5] :
( ~ model(sK3(X0,X1),X1)
| model(X5,X0)
| ~ model(X5,X1)
| status(X0,X1,wec)
| ~ model(X7,X0) ),
inference(cnf_transformation,[],[f59]) ).
fof(f59,plain,
! [X0,X1] :
( ( ( ~ model(sK1(X0,X1),X0)
& model(sK1(X0,X1),X1)
& ! [X3] :
( model(X3,X1)
| ~ model(X3,X0) )
& model(sK2(X0),X0) )
| ~ status(X0,X1,wec) )
& ( status(X0,X1,wec)
| ! [X5] :
( model(X5,X0)
| ~ model(X5,X1) )
| ( ~ model(sK3(X0,X1),X1)
& model(sK3(X0,X1),X0) )
| ! [X7] : ~ model(X7,X0) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK1,sK2,sK3])],[f55,f58,f57,f56]) ).
fof(f56,plain,
! [X0,X1] :
( ? [X2] :
( ~ model(X2,X0)
& model(X2,X1) )
=> ( ~ model(sK1(X0,X1),X0)
& model(sK1(X0,X1),X1) ) ),
introduced(choice_axiom,[]) ).
fof(f57,plain,
! [X0] :
( ? [X4] : model(X4,X0)
=> model(sK2(X0),X0) ),
introduced(choice_axiom,[]) ).
fof(f58,plain,
! [X0,X1] :
( ? [X6] :
( ~ model(X6,X1)
& model(X6,X0) )
=> ( ~ model(sK3(X0,X1),X1)
& model(sK3(X0,X1),X0) ) ),
introduced(choice_axiom,[]) ).
fof(f55,plain,
! [X0,X1] :
( ( ( ? [X2] :
( ~ model(X2,X0)
& model(X2,X1) )
& ! [X3] :
( model(X3,X1)
| ~ model(X3,X0) )
& ? [X4] : model(X4,X0) )
| ~ status(X0,X1,wec) )
& ( status(X0,X1,wec)
| ! [X5] :
( model(X5,X0)
| ~ model(X5,X1) )
| ? [X6] :
( ~ model(X6,X1)
& model(X6,X0) )
| ! [X7] : ~ model(X7,X0) ) ),
inference(rectify,[],[f54]) ).
fof(f54,plain,
! [X0,X1] :
( ( ( ? [X2] :
( ~ model(X2,X0)
& model(X2,X1) )
& ! [X3] :
( model(X3,X1)
| ~ model(X3,X0) )
& ? [X4] : model(X4,X0) )
| ~ status(X0,X1,wec) )
& ( status(X0,X1,wec)
| ! [X2] :
( model(X2,X0)
| ~ model(X2,X1) )
| ? [X3] :
( ~ model(X3,X1)
& model(X3,X0) )
| ! [X4] : ~ model(X4,X0) ) ),
inference(flattening,[],[f53]) ).
fof(f53,plain,
! [X0,X1] :
( ( ( ? [X2] :
( ~ model(X2,X0)
& model(X2,X1) )
& ! [X3] :
( model(X3,X1)
| ~ model(X3,X0) )
& ? [X4] : model(X4,X0) )
| ~ status(X0,X1,wec) )
& ( status(X0,X1,wec)
| ! [X2] :
( model(X2,X0)
| ~ model(X2,X1) )
| ? [X3] :
( ~ model(X3,X1)
& model(X3,X0) )
| ! [X4] : ~ model(X4,X0) ) ),
inference(nnf_transformation,[],[f47]) ).
fof(f47,plain,
! [X0,X1] :
( ( ? [X2] :
( ~ model(X2,X0)
& model(X2,X1) )
& ! [X3] :
( model(X3,X1)
| ~ model(X3,X0) )
& ? [X4] : model(X4,X0) )
<=> status(X0,X1,wec) ),
inference(ennf_transformation,[],[f37]) ).
fof(f37,plain,
! [X0,X1] :
( ( ? [X2] :
( ~ model(X2,X0)
& model(X2,X1) )
& ! [X3] :
( model(X3,X0)
=> model(X3,X1) )
& ? [X4] : model(X4,X0) )
<=> status(X0,X1,wec) ),
inference(rectify,[],[f8]) ).
fof(f8,axiom,
! [X0,X1] :
( ( ? [X4] :
( ~ model(X4,X0)
& model(X4,X1) )
& ! [X3] :
( model(X3,X0)
=> model(X3,X1) )
& ? [X2] : model(X2,X0) )
<=> status(X0,X1,wec) ),
file('/export/starexec/sandbox/tmp/tmp.BwrU3nIKgL/Vampire---4.8_32231',wec) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : KRS260+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
% 0.15/0.36 % Computer : n019.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 19:52:38 EDT 2024
% 0.15/0.36 % CPUTime :
% 0.15/0.36 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/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t 300 /export/starexec/sandbox/tmp/tmp.BwrU3nIKgL/Vampire---4.8_32231
% 0.55/0.74 % (32493)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 % (32487)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 % (32489)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 % (32488)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 % (32491)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 % (32490)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 % (32493)Refutation not found, incomplete strategy% (32493)------------------------------
% 0.55/0.75 % (32493)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.55/0.75 % (32492)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 % (32493)Termination reason: Refutation not found, incomplete strategy
% 0.55/0.75
% 0.55/0.75 % (32493)Memory used [KB]: 1049
% 0.55/0.75 % (32493)Time elapsed: 0.002 s
% 0.55/0.75 % (32493)Instructions burned: 3 (million)
% 0.55/0.75 % (32493)------------------------------
% 0.55/0.75 % (32493)------------------------------
% 0.55/0.75 % (32492)Refutation not found, incomplete strategy% (32492)------------------------------
% 0.55/0.75 % (32492)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.55/0.75 % (32492)Termination reason: Refutation not found, incomplete strategy
% 0.55/0.75
% 0.55/0.75 % (32492)Memory used [KB]: 1048
% 0.55/0.75 % (32492)Time elapsed: 0.003 s
% 0.55/0.75 % (32492)Instructions burned: 3 (million)
% 0.55/0.75 % (32490)Refutation not found, incomplete strategy% (32490)------------------------------
% 0.55/0.75 % (32490)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.55/0.75 % (32487)Refutation not found, incomplete strategy% (32487)------------------------------
% 0.55/0.75 % (32487)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.55/0.75 % (32487)Termination reason: Refutation not found, incomplete strategy
% 0.55/0.75
% 0.55/0.75 % (32487)Memory used [KB]: 1057
% 0.55/0.75 % (32487)Time elapsed: 0.003 s
% 0.55/0.75 % (32487)Instructions burned: 3 (million)
% 0.55/0.75 % (32490)Termination reason: Refutation not found, incomplete strategy
% 0.55/0.75
% 0.55/0.75 % (32490)Memory used [KB]: 1056
% 0.55/0.75 % (32490)Time elapsed: 0.003 s
% 0.55/0.75 % (32490)Instructions burned: 3 (million)
% 0.55/0.75 % (32492)------------------------------
% 0.55/0.75 % (32492)------------------------------
% 0.55/0.75 % (32487)------------------------------
% 0.55/0.75 % (32487)------------------------------
% 0.55/0.75 % (32490)------------------------------
% 0.55/0.75 % (32490)------------------------------
% 0.55/0.75 % (32491)Refutation not found, incomplete strategy% (32491)------------------------------
% 0.55/0.75 % (32491)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.55/0.75 % (32491)Termination reason: Refutation not found, incomplete strategy
% 0.55/0.75
% 0.55/0.75 % (32491)Memory used [KB]: 1151
% 0.55/0.75 % (32491)Time elapsed: 0.004 s
% 0.55/0.75 % (32491)Instructions burned: 5 (million)
% 0.55/0.75 % (32494)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)
% 0.55/0.75 % (32489)First to succeed.
% 0.55/0.75 % (32491)------------------------------
% 0.55/0.75 % (32491)------------------------------
% 0.55/0.75 % (32489)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-32483"
% 0.55/0.75 % (32495)lrs+21_1:16_sil=2000:sp=occurrence:urr=on:flr=on:i=55:sd=1:nm=0:ins=3:ss=included:rawr=on:br=off_0 on Vampire---4 for (2996ds/55Mi)
% 0.55/0.75 % (32494)Also succeeded, but the first one will report.
% 0.55/0.75 % (32495)Refutation not found, incomplete strategy% (32495)------------------------------
% 0.55/0.75 % (32495)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.55/0.75 % (32495)Termination reason: Refutation not found, incomplete strategy
% 0.55/0.75
% 0.55/0.75 % (32495)Memory used [KB]: 1052
% 0.55/0.75 % (32495)Time elapsed: 0.003 s
% 0.55/0.75 % (32495)Instructions burned: 2 (million)
% 0.55/0.75 % (32489)Refutation found. Thanks to Tanya!
% 0.55/0.75 % SZS status Theorem for Vampire---4
% 0.55/0.75 % SZS output start Proof for Vampire---4
% See solution above
% 0.55/0.75 % (32489)------------------------------
% 0.55/0.75 % (32489)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.55/0.75 % (32489)Termination reason: Refutation
% 0.55/0.75
% 0.55/0.75 % (32489)Memory used [KB]: 1082
% 0.55/0.75 % (32489)Time elapsed: 0.005 s
% 0.55/0.75 % (32489)Instructions burned: 6 (million)
% 0.55/0.75 % (32483)Success in time 0.377 s
% 0.55/0.75 % Vampire---4.8 exiting
%------------------------------------------------------------------------------