TSTP Solution File: NUN081+1 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : NUN081+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/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% Computer : n029.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 08:44:33 EDT 2024
% Result : Theorem 0.61s 0.78s
% Output : Refutation 0.61s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 9
% Syntax : Number of formulae : 28 ( 6 unt; 0 def)
% Number of atoms : 99 ( 0 equ)
% Maximal formula atoms : 6 ( 3 avg)
% Number of connectives : 100 ( 29 ~; 20 |; 45 &)
% ( 0 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 7 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 6 ( 5 usr; 1 prp; 0-3 aty)
% Number of functors : 6 ( 6 usr; 0 con; 1-2 aty)
% Number of variables : 106 ( 53 !; 53 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f204,plain,
$false,
inference(resolution,[],[f187,f97]) ).
fof(f97,plain,
! [X0] : r1(sK9(X0)),
inference(cnf_transformation,[],[f54]) ).
fof(f54,plain,
! [X0] :
( r3(X0,sK9(X0),sK8(X0))
& r1(sK9(X0))
& id(sK8(X0),X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK8,sK9])],[f32,f53,f52]) ).
fof(f52,plain,
! [X0] :
( ? [X1] :
( ? [X2] :
( r3(X0,X2,X1)
& r1(X2) )
& id(X1,X0) )
=> ( ? [X2] :
( r3(X0,X2,sK8(X0))
& r1(X2) )
& id(sK8(X0),X0) ) ),
introduced(choice_axiom,[]) ).
fof(f53,plain,
! [X0] :
( ? [X2] :
( r3(X0,X2,sK8(X0))
& r1(X2) )
=> ( r3(X0,sK9(X0),sK8(X0))
& r1(sK9(X0)) ) ),
introduced(choice_axiom,[]) ).
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/sandbox2/tmp/tmp.nYCL8uu4Ii/Vampire---4.8_25259',axiom_4a) ).
fof(f187,plain,
! [X0] : ~ r1(X0),
inference(resolution,[],[f180,f100]) ).
fof(f100,plain,
! [X1] : r2(X1,sK13(X1)),
inference(cnf_transformation,[],[f59]) ).
fof(f59,plain,
! [X0,X1] :
( r3(sK11(X0,X1),X0,sK10(X0,X1))
& r2(X1,sK13(X1))
& id(sK12(X0,X1),sK10(X0,X1)) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK10,sK11,sK12,sK13])],[f38,f58,f57,f56,f55]) ).
fof(f55,plain,
! [X0,X1] :
( ? [X2] :
( ? [X3] : r3(X3,X0,X2)
& ? [X4] :
( ? [X5] : r2(X1,X5)
& id(X4,X2) ) )
=> ( ? [X3] : r3(X3,X0,sK10(X0,X1))
& ? [X4] :
( ? [X5] : r2(X1,X5)
& id(X4,sK10(X0,X1)) ) ) ),
introduced(choice_axiom,[]) ).
fof(f56,plain,
! [X0,X1] :
( ? [X3] : r3(X3,X0,sK10(X0,X1))
=> r3(sK11(X0,X1),X0,sK10(X0,X1)) ),
introduced(choice_axiom,[]) ).
fof(f57,plain,
! [X0,X1] :
( ? [X4] :
( ? [X5] : r2(X1,X5)
& id(X4,sK10(X0,X1)) )
=> ( ? [X5] : r2(X1,X5)
& id(sK12(X0,X1),sK10(X0,X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f58,plain,
! [X1] :
( ? [X5] : r2(X1,X5)
=> r2(X1,sK13(X1)) ),
introduced(choice_axiom,[]) ).
fof(f38,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/sandbox2/tmp/tmp.nYCL8uu4Ii/Vampire---4.8_25259',axiom_2a) ).
fof(f180,plain,
! [X0,X1] :
( ~ r2(sK13(sK13(X0)),X1)
| ~ r1(X0) ),
inference(resolution,[],[f150,f100]) ).
fof(f150,plain,
! [X2,X0,X1] :
( ~ r2(sK13(X2),X0)
| ~ r1(X2)
| ~ r2(X0,X1) ),
inference(resolution,[],[f121,f100]) ).
fof(f121,plain,
! [X2,X3,X0,X1] :
( ~ r2(X3,X0)
| ~ r2(X1,X2)
| ~ r1(X3)
| ~ r2(X0,X1) ),
inference(resolution,[],[f119,f96]) ).
fof(f96,plain,
! [X0] : id(sK8(X0),X0),
inference(cnf_transformation,[],[f54]) ).
fof(f119,plain,
! [X2,X3,X0,X1,X4] :
( ~ id(sK8(X4),X3)
| ~ r2(X1,X2)
| ~ r2(X2,X3)
| ~ r1(X0)
| ~ r2(X0,X1) ),
inference(resolution,[],[f98,f67]) ).
fof(f67,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( ~ r3(X0,X1,X2)
| ~ r1(X6)
| ~ r2(X5,X4)
| ~ r2(X4,X3)
| ~ id(X2,X3)
| ~ r2(X6,X5) ),
inference(cnf_transformation,[],[f39]) ).
fof(f39,plain,
! [X0,X1,X2] :
( ! [X3] :
( ! [X4] :
( ! [X5] :
( ! [X6] :
( ~ r2(X6,X5)
| ~ r1(X6) )
| ~ r2(X5,X4) )
| ~ r2(X4,X3) )
| ~ id(X2,X3) )
| ~ r3(X0,X1,X2) ),
inference(ennf_transformation,[],[f21]) ).
fof(f21,plain,
~ ? [X0,X1,X2] :
( ? [X3] :
( ? [X4] :
( ? [X5] :
( ? [X6] :
( r2(X6,X5)
& r1(X6) )
& r2(X5,X4) )
& r2(X4,X3) )
& id(X2,X3) )
& r3(X0,X1,X2) ),
inference(rectify,[],[f20]) ).
fof(f20,negated_conjecture,
~ ? [X62,X45,X46] :
( ? [X39] :
( ? [X40] :
( ? [X48] :
( ? [X42] :
( r2(X42,X48)
& r1(X42) )
& r2(X48,X40) )
& r2(X40,X39) )
& id(X46,X39) )
& r3(X62,X45,X46) ),
inference(negated_conjecture,[],[f19]) ).
fof(f19,conjecture,
? [X62,X45,X46] :
( ? [X39] :
( ? [X40] :
( ? [X48] :
( ? [X42] :
( r2(X42,X48)
& r1(X42) )
& r2(X48,X40) )
& r2(X40,X39) )
& id(X46,X39) )
& r3(X62,X45,X46) ),
file('/export/starexec/sandbox2/tmp/tmp.nYCL8uu4Ii/Vampire---4.8_25259',xplusyidthree) ).
fof(f98,plain,
! [X0] : r3(X0,sK9(X0),sK8(X0)),
inference(cnf_transformation,[],[f54]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : NUN081+1 : TPTP v8.1.2. Released v7.3.0.
% 0.07/0.15 % 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
% 0.15/0.36 % Computer : n029.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 18:51:38 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/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t 300 /export/starexec/sandbox2/tmp/tmp.nYCL8uu4Ii/Vampire---4.8_25259
% 0.61/0.77 % (25456)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)
% 0.61/0.78 % (25458)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2995ds/78Mi)
% 0.61/0.78 % (25457)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)
% 0.61/0.78 % (25459)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)
% 0.61/0.78 % (25460)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)
% 0.61/0.78 % (25461)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)
% 0.61/0.78 % (25463)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)
% 0.61/0.78 % (25462)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)
% 0.61/0.78 % (25456)First to succeed.
% 0.61/0.78 % (25461)Also succeeded, but the first one will report.
% 0.61/0.78 % (25457)Also succeeded, but the first one will report.
% 0.61/0.78 % (25456)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-25455"
% 0.61/0.78 % (25458)Also succeeded, but the first one will report.
% 0.61/0.78 % (25456)Refutation found. Thanks to Tanya!
% 0.61/0.78 % SZS status Theorem for Vampire---4
% 0.61/0.78 % SZS output start Proof for Vampire---4
% See solution above
% 0.61/0.78 % (25456)------------------------------
% 0.61/0.78 % (25456)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.61/0.78 % (25456)Termination reason: Refutation
% 0.61/0.78
% 0.61/0.78 % (25456)Memory used [KB]: 1109
% 0.61/0.78 % (25456)Time elapsed: 0.004 s
% 0.61/0.78 % (25456)Instructions burned: 7 (million)
% 0.61/0.78 % (25455)Success in time 0.407 s
% 0.61/0.78 % Vampire---4.8 exiting
%------------------------------------------------------------------------------