TSTP Solution File: NUN069+1 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : NUN069+1 : TPTP v8.1.2. Released v7.3.0.
% 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 : n016.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 : Wed May 1 03:36:21 EDT 2024
% Result : Theorem 0.60s 0.79s
% Output : Refutation 0.60s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 8
% Syntax : Number of formulae : 27 ( 7 unt; 0 def)
% Number of atoms : 65 ( 0 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 49 ( 11 ~; 5 |; 29 &)
% ( 0 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 6 ( 5 usr; 1 prp; 0-3 aty)
% Number of functors : 5 ( 5 usr; 1 con; 0-1 aty)
% Number of variables : 66 ( 27 !; 39 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f108,plain,
$false,
inference(resolution,[],[f103,f96]) ).
fof(f96,plain,
r1(sK9),
inference(cnf_transformation,[],[f55]) ).
fof(f55,plain,
! [X0] :
( r1(sK9)
& id(sK8(X0),X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK8,sK9])],[f39,f54,f53]) ).
fof(f53,plain,
! [X0] :
( ? [X1] :
( ? [X2] : r1(X2)
& id(X1,X0) )
=> ( ? [X2] : r1(X2)
& id(sK8(X0),X0) ) ),
introduced(choice_axiom,[]) ).
fof(f54,plain,
( ? [X2] : r1(X2)
=> r1(sK9) ),
introduced(choice_axiom,[]) ).
fof(f39,plain,
! [X0] :
? [X1] :
( ? [X2] : r1(X2)
& id(X1,X0) ),
inference(pure_predicate_removal,[],[f32]) ).
fof(f32,plain,
! [X0] :
? [X1] :
( ? [X2] :
( r3(X0,X2,X1)
& r1(X2) )
& id(X1,X0) ),
inference(rectify,[],[f15]) ).
fof(f15,axiom,
! [X53] :
? [X54] :
( ? [X55] :
( r3(X53,X55,X54)
& r1(X55) )
& id(X54,X53) ),
file('/export/starexec/sandbox/tmp/tmp.EdaO3tgNO5/Vampire---4.8_17032',axiom_4a) ).
fof(f103,plain,
! [X0] : ~ r1(X0),
inference(subsumption_resolution,[],[f102,f83]) ).
fof(f83,plain,
! [X0] : id(X0,X0),
inference(cnf_transformation,[],[f29]) ).
fof(f29,plain,
! [X0] : id(X0,X0),
inference(rectify,[],[f5]) ).
fof(f5,axiom,
! [X13] : id(X13,X13),
file('/export/starexec/sandbox/tmp/tmp.EdaO3tgNO5/Vampire---4.8_17032',axiom_5) ).
fof(f102,plain,
! [X0] :
( ~ r1(X0)
| ~ id(sK12(X0),sK12(X0)) ),
inference(resolution,[],[f98,f66]) ).
fof(f66,plain,
! [X0,X1] :
( ~ r2(X1,X0)
| ~ r1(X1)
| ~ id(X0,X0) ),
inference(cnf_transformation,[],[f40]) ).
fof(f40,plain,
! [X0] :
( ! [X1] :
( ~ r2(X1,X0)
| ~ r1(X1) )
| ~ id(X0,X0) ),
inference(ennf_transformation,[],[f21]) ).
fof(f21,plain,
~ ? [X0] :
( ? [X1] :
( r2(X1,X0)
& r1(X1) )
& id(X0,X0) ),
inference(rectify,[],[f20]) ).
fof(f20,negated_conjecture,
~ ? [X62] :
( ? [X45] :
( r2(X45,X62)
& r1(X45) )
& id(X62,X62) ),
inference(negated_conjecture,[],[f19]) ).
fof(f19,conjecture,
? [X62] :
( ? [X45] :
( r2(X45,X62)
& r1(X45) )
& id(X62,X62) ),
file('/export/starexec/sandbox/tmp/tmp.EdaO3tgNO5/Vampire---4.8_17032',oneidone) ).
fof(f98,plain,
! [X1] : r2(X1,sK12(X1)),
inference(cnf_transformation,[],[f59]) ).
fof(f59,plain,
! [X1] :
( r2(X1,sK12(X1))
& id(sK11(X1),sK10(X1)) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK10,sK11,sK12])],[f56,f58,f57]) ).
fof(f57,plain,
! [X1] :
( ? [X2,X3] :
( ? [X4] : r2(X1,X4)
& id(X3,X2) )
=> ( ? [X4] : r2(X1,X4)
& id(sK11(X1),sK10(X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f58,plain,
! [X1] :
( ? [X4] : r2(X1,X4)
=> r2(X1,sK12(X1)) ),
introduced(choice_axiom,[]) ).
fof(f56,plain,
! [X1] :
? [X2,X3] :
( ? [X4] : r2(X1,X4)
& id(X3,X2) ),
inference(rectify,[],[f37]) ).
fof(f37,plain,
! [X0,X1] :
? [X2,X4] :
( ? [X5] : r2(X1,X5)
& id(X4,X2) ),
inference(pure_predicate_removal,[],[f36]) ).
fof(f36,plain,
! [X0,X1] :
? [X2] :
( ? [X3] : r3(X3,X0,X2)
& ? [X4] :
( ? [X5] : r2(X1,X5)
& id(X4,X2) ) ),
inference(pure_predicate_removal,[],[f33]) ).
fof(f33,plain,
! [X0,X1] :
? [X2] :
( ? [X3] :
( r4(X0,X1,X3)
& r3(X3,X0,X2) )
& ? [X4] :
( ? [X5] :
( r4(X0,X5,X4)
& r2(X1,X5) )
& id(X4,X2) ) ),
inference(rectify,[],[f13]) ).
fof(f13,axiom,
! [X43,X44] :
? [X45] :
( ? [X48] :
( r4(X43,X44,X48)
& r3(X48,X43,X45) )
& ? [X46] :
( ? [X47] :
( r4(X43,X47,X46)
& r2(X44,X47) )
& id(X46,X45) ) ),
file('/export/starexec/sandbox/tmp/tmp.EdaO3tgNO5/Vampire---4.8_17032',axiom_2a) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.09 % Problem : NUN069+1 : TPTP v8.1.2. Released v7.3.0.
% 0.02/0.10 % 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
% 0.09/0.30 % Computer : n016.cluster.edu
% 0.09/0.30 % Model : x86_64 x86_64
% 0.09/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.30 % Memory : 8042.1875MB
% 0.09/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.30 % CPULimit : 300
% 0.09/0.30 % WCLimit : 300
% 0.09/0.30 % DateTime : Tue Apr 30 18:17:56 EDT 2024
% 0.09/0.30 % CPUTime :
% 0.09/0.30 This is a FOF_THM_RFO_NEQ problem
% 0.09/0.30 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.EdaO3tgNO5/Vampire---4.8_17032
% 0.60/0.79 % (17142)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 (2995ds/51Mi)
% 0.60/0.79 % (17144)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on Vampire---4 for (2995ds/33Mi)
% 0.60/0.79 % (17145)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 (2995ds/34Mi)
% 0.60/0.79 % (17143)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2995ds/78Mi)
% 0.60/0.79 % (17141)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 (2995ds/34Mi)
% 0.60/0.79 % (17146)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on Vampire---4 for (2995ds/45Mi)
% 0.60/0.79 % (17147)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 (2995ds/83Mi)
% 0.60/0.79 % (17148)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 (2995ds/56Mi)
% 0.60/0.79 % (17141)First to succeed.
% 0.60/0.79 % (17142)Also succeeded, but the first one will report.
% 0.60/0.79 % (17144)Also succeeded, but the first one will report.
% 0.60/0.79 % (17141)Refutation found. Thanks to Tanya!
% 0.60/0.79 % SZS status Theorem for Vampire---4
% 0.60/0.79 % SZS output start Proof for Vampire---4
% See solution above
% 0.60/0.79 % (17141)------------------------------
% 0.60/0.79 % (17141)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.60/0.79 % (17141)Termination reason: Refutation
% 0.60/0.79
% 0.60/0.79 % (17141)Memory used [KB]: 1046
% 0.60/0.79 % (17141)Time elapsed: 0.004 s
% 0.60/0.79 % (17141)Instructions burned: 4 (million)
% 0.60/0.79 % (17141)------------------------------
% 0.60/0.79 % (17141)------------------------------
% 0.60/0.79 % (17139)Success in time 0.483 s
% 0.60/0.79 % Vampire---4.8 exiting
%------------------------------------------------------------------------------