TSTP Solution File: GEG024_1 by Vampire---4.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : GEG024_1 : TPTP v8.2.0. Bugfixed v5.2.0.
% 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 : n024.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 : Mon May 20 19:57:10 EDT 2024
% Result : Theorem 0.66s 0.86s
% Output : Refutation 0.66s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 11
% Syntax : Number of formulae : 26 ( 7 unt; 10 typ; 0 def)
% Number of atoms : 179 ( 151 equ)
% Maximal formula atoms : 24 ( 11 avg)
% Number of connectives : 175 ( 12 ~; 5 |; 154 &)
% ( 0 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 28 ( 13 avg)
% Maximal term depth : 3 ( 1 avg)
% Number arithmetic : 199 ( 27 atm; 7 fun; 165 num; 0 var)
% Number of types : 2 ( 1 usr; 1 ari)
% Number of type conns : 3 ( 2 >; 1 *; 0 +; 0 <<)
% Number of predicates : 4 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 31 ( 9 usr; 28 con; 0-2 aty)
% Number of variables : 52 ( 48 !; 4 ?; 52 :)
% Comments :
%------------------------------------------------------------------------------
tff(type_def_5,type,
city: $tType ).
tff(func_def_0,type,
d: ( city * city ) > $int ).
tff(func_def_1,type,
inh: city > $int ).
tff(func_def_2,type,
kiel: city ).
tff(func_def_3,type,
hamburg: city ).
tff(func_def_4,type,
berlin: city ).
tff(func_def_5,type,
cologne: city ).
tff(func_def_6,type,
frankfurt: city ).
tff(func_def_7,type,
saarbruecken: city ).
tff(func_def_8,type,
munich: city ).
tff(f71,plain,
$false,
inference(evaluation,[],[f70]) ).
tff(f70,plain,
$less(1774224,1000000),
inference(forward_demodulation,[],[f69,f36]) ).
tff(f36,plain,
inh(hamburg) = 1774224,
inference(cnf_transformation,[],[f19]) ).
tff(f19,plain,
( ! [X0: city] :
( $less(inh(X0),1000000)
| $less(100,d(kiel,X0)) )
& ( inh(kiel) = 238281 )
& ( inh(saarbruecken) = 175810 )
& ( inh(frankfurt) = 671927 )
& ( inh(cologne) = 998105 )
& ( inh(munich) = 1330440 )
& ( inh(hamburg) = 1774224 )
& ( inh(berlin) = 3442675 )
& ( 360 = d(munich,saarbruecken) )
& ( d(munich,frankfurt) = 300 )
& ( d(hamburg,berlin) = 250 )
& ( d(hamburg,kiel) = 90 )
& ( d(cologne,frankfurt) = 150 )
& ( d(hamburg,frankfurt) = 390 )
& ( d(hamburg,cologne) = 360 )
& ( d(saarbruecken,cologne) = 190 )
& ( d(saarbruecken,frankfurt) = 160 )
& ( d(berlin,frankfurt) = 420 )
& ( d(berlin,cologne) = 480 )
& ( d(berlin,munich) = 510 )
& ! [X1: city] : ( 0 = d(X1,X1) )
& ! [X2: city,X3: city,X4: city] : ~ $less($sum(d(X2,X3),d(X3,X4)),d(X2,X4))
& ! [X5: city,X6: city] : ( d(X5,X6) = d(X6,X5) ) ),
inference(rectify,[],[f18]) ).
tff(f18,plain,
( ! [X6: city] :
( $less(inh(X6),1000000)
| $less(100,d(kiel,X6)) )
& ( inh(kiel) = 238281 )
& ( inh(saarbruecken) = 175810 )
& ( inh(frankfurt) = 671927 )
& ( inh(cologne) = 998105 )
& ( inh(munich) = 1330440 )
& ( inh(hamburg) = 1774224 )
& ( inh(berlin) = 3442675 )
& ( 360 = d(munich,saarbruecken) )
& ( d(munich,frankfurt) = 300 )
& ( d(hamburg,berlin) = 250 )
& ( d(hamburg,kiel) = 90 )
& ( d(cologne,frankfurt) = 150 )
& ( d(hamburg,frankfurt) = 390 )
& ( d(hamburg,cologne) = 360 )
& ( d(saarbruecken,cologne) = 190 )
& ( d(saarbruecken,frankfurt) = 160 )
& ( d(berlin,frankfurt) = 420 )
& ( d(berlin,cologne) = 480 )
& ( d(berlin,munich) = 510 )
& ! [X0: city] : ( d(X0,X0) = 0 )
& ! [X1: city,X2: city,X3: city] : ~ $less($sum(d(X1,X2),d(X2,X3)),d(X1,X3))
& ! [X4: city,X5: city] : ( d(X4,X5) = d(X5,X4) ) ),
inference(flattening,[],[f17]) ).
tff(f17,plain,
( ! [X6: city] :
( $less(inh(X6),1000000)
| $less(100,d(kiel,X6)) )
& ( inh(kiel) = 238281 )
& ( inh(saarbruecken) = 175810 )
& ( inh(frankfurt) = 671927 )
& ( inh(cologne) = 998105 )
& ( inh(munich) = 1330440 )
& ( inh(hamburg) = 1774224 )
& ( inh(berlin) = 3442675 )
& ( 360 = d(munich,saarbruecken) )
& ( d(munich,frankfurt) = 300 )
& ( d(hamburg,berlin) = 250 )
& ( d(hamburg,kiel) = 90 )
& ( d(cologne,frankfurt) = 150 )
& ( d(hamburg,frankfurt) = 390 )
& ( d(hamburg,cologne) = 360 )
& ( d(saarbruecken,cologne) = 190 )
& ( d(saarbruecken,frankfurt) = 160 )
& ( d(berlin,frankfurt) = 420 )
& ( d(berlin,cologne) = 480 )
& ( d(berlin,munich) = 510 )
& ! [X0: city] : ( d(X0,X0) = 0 )
& ! [X1: city,X2: city,X3: city] : ~ $less($sum(d(X1,X2),d(X2,X3)),d(X1,X3))
& ! [X4: city,X5: city] : ( d(X4,X5) = d(X5,X4) ) ),
inference(ennf_transformation,[],[f16]) ).
tff(f16,plain,
~ ( ( ( inh(kiel) = 238281 )
& ( inh(saarbruecken) = 175810 )
& ( inh(frankfurt) = 671927 )
& ( inh(cologne) = 998105 )
& ( inh(munich) = 1330440 )
& ( inh(hamburg) = 1774224 )
& ( inh(berlin) = 3442675 )
& ( 360 = d(munich,saarbruecken) )
& ( d(munich,frankfurt) = 300 )
& ( d(hamburg,berlin) = 250 )
& ( d(hamburg,kiel) = 90 )
& ( d(cologne,frankfurt) = 150 )
& ( d(hamburg,frankfurt) = 390 )
& ( d(hamburg,cologne) = 360 )
& ( d(saarbruecken,cologne) = 190 )
& ( d(saarbruecken,frankfurt) = 160 )
& ( d(berlin,frankfurt) = 420 )
& ( d(berlin,cologne) = 480 )
& ( d(berlin,munich) = 510 )
& ! [X0: city] : ( d(X0,X0) = 0 )
& ! [X1: city,X2: city,X3: city] : ~ $less($sum(d(X1,X2),d(X2,X3)),d(X1,X3))
& ! [X4: city,X5: city] : ( d(X4,X5) = d(X5,X4) ) )
=> ? [X6: city] :
( ~ $less(inh(X6),1000000)
& ~ $less(100,d(kiel,X6)) ) ),
inference(rectify,[],[f3]) ).
tff(f3,plain,
~ ( ( ( inh(kiel) = 238281 )
& ( inh(saarbruecken) = 175810 )
& ( inh(frankfurt) = 671927 )
& ( inh(cologne) = 998105 )
& ( inh(munich) = 1330440 )
& ( inh(hamburg) = 1774224 )
& ( inh(berlin) = 3442675 )
& ( 360 = d(munich,saarbruecken) )
& ( d(munich,frankfurt) = 300 )
& ( d(hamburg,berlin) = 250 )
& ( d(hamburg,kiel) = 90 )
& ( d(cologne,frankfurt) = 150 )
& ( d(hamburg,frankfurt) = 390 )
& ( d(hamburg,cologne) = 360 )
& ( d(saarbruecken,cologne) = 190 )
& ( d(saarbruecken,frankfurt) = 160 )
& ( d(berlin,frankfurt) = 420 )
& ( d(berlin,cologne) = 480 )
& ( d(berlin,munich) = 510 )
& ! [X0: city] : ( d(X0,X0) = 0 )
& ! [X0: city,X1: city,X2: city] : ~ $less($sum(d(X0,X1),d(X1,X2)),d(X0,X2))
& ! [X0: city,X1: city] : ( d(X0,X1) = d(X1,X0) ) )
=> ? [X0: city] :
( ~ $less(inh(X0),1000000)
& ~ $less(100,d(kiel,X0)) ) ),
inference(theory_normalization,[],[f2]) ).
tff(f2,negated_conjecture,
~ ( ( ( inh(kiel) = 238281 )
& ( inh(saarbruecken) = 175810 )
& ( inh(frankfurt) = 671927 )
& ( inh(cologne) = 998105 )
& ( inh(munich) = 1330440 )
& ( inh(hamburg) = 1774224 )
& ( inh(berlin) = 3442675 )
& ( 360 = d(munich,saarbruecken) )
& ( d(munich,frankfurt) = 300 )
& ( d(hamburg,berlin) = 250 )
& ( d(hamburg,kiel) = 90 )
& ( d(cologne,frankfurt) = 150 )
& ( d(hamburg,frankfurt) = 390 )
& ( d(hamburg,cologne) = 360 )
& ( d(saarbruecken,cologne) = 190 )
& ( d(saarbruecken,frankfurt) = 160 )
& ( d(berlin,frankfurt) = 420 )
& ( d(berlin,cologne) = 480 )
& ( d(berlin,munich) = 510 )
& ! [X0: city] : ( d(X0,X0) = 0 )
& ! [X0: city,X1: city,X2: city] : $lesseq(d(X0,X2),$sum(d(X0,X1),d(X1,X2)))
& ! [X0: city,X1: city] : ( d(X0,X1) = d(X1,X0) ) )
=> ? [X0: city] :
( $lesseq(1000000,inh(X0))
& $lesseq(d(kiel,X0),100) ) ),
inference(negated_conjecture,[],[f1]) ).
tff(f1,conjecture,
( ( ( inh(kiel) = 238281 )
& ( inh(saarbruecken) = 175810 )
& ( inh(frankfurt) = 671927 )
& ( inh(cologne) = 998105 )
& ( inh(munich) = 1330440 )
& ( inh(hamburg) = 1774224 )
& ( inh(berlin) = 3442675 )
& ( 360 = d(munich,saarbruecken) )
& ( d(munich,frankfurt) = 300 )
& ( d(hamburg,berlin) = 250 )
& ( d(hamburg,kiel) = 90 )
& ( d(cologne,frankfurt) = 150 )
& ( d(hamburg,frankfurt) = 390 )
& ( d(hamburg,cologne) = 360 )
& ( d(saarbruecken,cologne) = 190 )
& ( d(saarbruecken,frankfurt) = 160 )
& ( d(berlin,frankfurt) = 420 )
& ( d(berlin,cologne) = 480 )
& ( d(berlin,munich) = 510 )
& ! [X0: city] : ( d(X0,X0) = 0 )
& ! [X0: city,X1: city,X2: city] : $lesseq(d(X0,X2),$sum(d(X0,X1),d(X1,X2)))
& ! [X0: city,X1: city] : ( d(X0,X1) = d(X1,X0) ) )
=> ? [X0: city] :
( $lesseq(1000000,inh(X0))
& $lesseq(d(kiel,X0),100) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',exists_big_city_distance_1) ).
tff(f69,plain,
$less(inh(hamburg),1000000),
inference(evaluation,[],[f68]) ).
tff(f68,plain,
( $less(100,90)
| $less(inh(hamburg),1000000) ),
inference(superposition,[],[f42,f43]) ).
tff(f43,plain,
90 = d(kiel,hamburg),
inference(superposition,[],[f20,f31]) ).
tff(f31,plain,
d(hamburg,kiel) = 90,
inference(cnf_transformation,[],[f19]) ).
tff(f20,plain,
! [X6: city,X5: city] : ( d(X5,X6) = d(X6,X5) ),
inference(cnf_transformation,[],[f19]) ).
tff(f42,plain,
! [X0: city] :
( $less(100,d(kiel,X0))
| $less(inh(X0),1000000) ),
inference(cnf_transformation,[],[f19]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.11 % Problem : GEG024_1 : TPTP v8.2.0. Bugfixed v5.2.0.
% 0.02/0.13 % 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
% 0.13/0.34 % Computer : n024.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Sat May 18 21:57:22 EDT 2024
% 0.13/0.34 % CPUTime :
% 0.13/0.34 This is a TF0_THM_EQU_ARI problem
% 0.13/0.35 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/benchmark/theBenchmark.p
% 0.66/0.85 % (32107)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 theBenchmark for (2995ds/51Mi)
% 0.66/0.85 % (32108)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on theBenchmark for (2995ds/78Mi)
% 0.66/0.85 % (32109)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on theBenchmark for (2995ds/33Mi)
% 0.66/0.85 % (32106)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 theBenchmark for (2995ds/34Mi)
% 0.66/0.85 % (32111)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on theBenchmark for (2995ds/45Mi)
% 0.66/0.85 % (32113)lrs-21_1:1_to=lpo:sil=2000:sp=frequency:sos=on:lma=on:i=56:sd=2:ss=axioms:ep=R_0 on theBenchmark for (2995ds/56Mi)
% 0.66/0.85 % (32110)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 theBenchmark for (2995ds/34Mi)
% 0.66/0.85 % (32112)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 theBenchmark for (2995ds/83Mi)
% 0.66/0.86 % (32107)Also succeeded, but the first one will report.
% 0.66/0.86 % (32111)Also succeeded, but the first one will report.
% 0.66/0.86 % (32108)First to succeed.
% 0.66/0.86 % (32112)Also succeeded, but the first one will report.
% 0.66/0.86 % (32108)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-32105"
% 0.66/0.86 % (32108)Refutation found. Thanks to Tanya!
% 0.66/0.86 % SZS status Theorem for theBenchmark
% 0.66/0.86 % SZS output start Proof for theBenchmark
% See solution above
% 0.66/0.86 % (32108)------------------------------
% 0.66/0.86 % (32108)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.66/0.86 % (32108)Termination reason: Refutation
% 0.66/0.86
% 0.66/0.86 % (32108)Memory used [KB]: 1058
% 0.66/0.86 % (32108)Time elapsed: 0.007 s
% 0.66/0.86 % (32108)Instructions burned: 8 (million)
% 0.66/0.86 % (32105)Success in time 0.506 s
% 0.66/0.86 % Vampire---4.8 exiting
%------------------------------------------------------------------------------