TSTP Solution File: GEG024_1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : GEG024_1 : TPTP v8.1.2. Bugfixed v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n007.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 : Tue Apr 30 11:06:55 EDT 2024
% Result : Theorem 0.14s 0.38s
% Output : Refutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 11
% Syntax : Number of formulae : 26 ( 6 unt; 10 typ; 0 def)
% Number of atoms : 180 ( 150 equ)
% Maximal formula atoms : 24 ( 11 avg)
% Number of connectives : 176 ( 12 ~; 6 |; 154 &)
% ( 0 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 28 ( 13 avg)
% Maximal term depth : 3 ( 1 avg)
% Number arithmetic : 202 ( 29 atm; 7 fun; 166 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 : 53 ( 49 !; 4 ?; 53 :)
% 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(f84,plain,
$false,
inference(evaluation,[],[f83]) ).
tff(f83,plain,
$less(1774224,1000000),
inference(forward_demodulation,[],[f80,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(f80,plain,
$less(inh(hamburg),1000000),
inference(evaluation,[],[f79]) ).
tff(f79,plain,
( $less(100,90)
| $less(inh(hamburg),1000000) ),
inference(superposition,[],[f72,f31]) ).
tff(f31,plain,
d(hamburg,kiel) = 90,
inference(cnf_transformation,[],[f19]) ).
tff(f72,plain,
! [X0: city] :
( $less(100,d(X0,kiel))
| $less(inh(X0),1000000) ),
inference(superposition,[],[f42,f20]) ).
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
% 0.12/0.13 % Problem : GEG024_1 : TPTP v8.1.2. Bugfixed v5.2.0.
% 0.12/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.35 % Computer : n007.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Tue Apr 30 03:17:03 EDT 2024
% 0.14/0.36 % CPUTime :
% 0.14/0.36 % (4182)Running in auto input_syntax mode. Trying TPTP
% 0.14/0.37 % (4185)WARNING: value z3 for option sas not known
% 0.14/0.38 % (4186)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.14/0.38 % (4184)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.14/0.38 % (4188)ott-10_8_av=off:bd=preordered:bs=on:fsd=off:fsr=off:fde=unused:irw=on:lcm=predicate:lma=on:nm=4:nwc=1.7:sp=frequency_522 on theBenchmark for (522ds/0Mi)
% 0.14/0.38 % (4187)ott+10_10:1_add=off:afr=on:amm=off:anc=all:bd=off:bs=on:fsr=off:irw=on:lma=on:msp=off:nm=4:nwc=4.0:sac=on:sp=reverse_frequency_531 on theBenchmark for (531ds/0Mi)
% 0.14/0.38 % (4189)ott+1_64_av=off:bd=off:bce=on:fsd=off:fde=unused:gsp=on:irw=on:lcm=predicate:lma=on:nm=2:nwc=1.1:sims=off:urr=on_497 on theBenchmark for (497ds/0Mi)
% 0.14/0.38 % (4185)dis+2_11_add=large:afr=on:amm=off:bd=off:bce=on:fsd=off:fde=none:gs=on:gsaa=full_model:gsem=off:irw=on:msp=off:nm=4:nwc=1.3:sas=z3:sims=off:sac=on:sp=reverse_arity_569 on theBenchmark for (569ds/0Mi)
% 0.14/0.38 % (4183)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.14/0.38 % (4186)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.14/0.38 % (4186)Terminated due to inappropriate strategy.
% 0.14/0.38 % (4186)------------------------------
% 0.14/0.38 % (4186)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.14/0.38 % (4184)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.14/0.38 % (4186)Termination reason: Inappropriate
% 0.14/0.38 % (4184)Terminated due to inappropriate strategy.
% 0.14/0.38 % (4184)------------------------------
% 0.14/0.38 % (4184)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.14/0.38 % (4184)Termination reason: Inappropriate
% 0.14/0.38
% 0.14/0.38 % (4183)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.14/0.38 % (4184)Memory used [KB]: 731
% 0.14/0.38 % (4184)Time elapsed: 0.003 s
% 0.14/0.38 % (4184)Instructions burned: 2 (million)
% 0.14/0.38 % (4184)------------------------------
% 0.14/0.38 % (4184)------------------------------
% 0.14/0.38 % (4183)Terminated due to inappropriate strategy.
% 0.14/0.38 % (4183)------------------------------
% 0.14/0.38 % (4183)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.14/0.38 % (4183)Termination reason: Inappropriate
% 0.14/0.38
% 0.14/0.38 % (4183)Memory used [KB]: 731
% 0.14/0.38 % (4183)Time elapsed: 0.003 s
% 0.14/0.38 % (4183)Instructions burned: 2 (million)
% 0.14/0.38 % (4183)------------------------------
% 0.14/0.38 % (4183)------------------------------
% 0.14/0.38
% 0.14/0.38 % (4186)Memory used [KB]: 731
% 0.14/0.38 % (4186)Time elapsed: 0.003 s
% 0.14/0.38 % (4186)Instructions burned: 2 (million)
% 0.14/0.38 % (4186)------------------------------
% 0.14/0.38 % (4186)------------------------------
% 0.14/0.38 % (4188)First to succeed.
% 0.14/0.38 % (4185)Also succeeded, but the first one will report.
% 0.14/0.38 % (4188)Refutation found. Thanks to Tanya!
% 0.14/0.38 % SZS status Theorem for theBenchmark
% 0.14/0.38 % SZS output start Proof for theBenchmark
% See solution above
% 0.14/0.38 % (4188)------------------------------
% 0.14/0.38 % (4188)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.14/0.38 % (4188)Termination reason: Refutation
% 0.14/0.38
% 0.14/0.38 % (4188)Memory used [KB]: 837
% 0.14/0.38 % (4188)Time elapsed: 0.006 s
% 0.14/0.38 % (4188)Instructions burned: 9 (million)
% 0.14/0.38 % (4188)------------------------------
% 0.14/0.38 % (4188)------------------------------
% 0.14/0.38 % (4182)Success in time 0.012 s
%------------------------------------------------------------------------------