TSTP Solution File: GEG025_1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : GEG025_1 : TPTP v8.1.2. Bugfixed v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% Computer : n005.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 : Fri Sep 1 14:40:53 EDT 2023
% Result : Theorem 0.17s 0.41s
% Output : Refutation 0.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 12
% Syntax : Number of formulae : 34 ( 12 unt; 10 typ; 0 def)
% Number of atoms : 191 ( 152 equ)
% Maximal formula atoms : 24 ( 7 avg)
% Number of connectives : 188 ( 21 ~; 9 |; 154 &)
% ( 0 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 28 ( 10 avg)
% Maximal term depth : 3 ( 1 avg)
% Number arithmetic : 225 ( 38 atm; 10 fun; 173 num; 4 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 : 32 ( 9 usr; 29 con; 0-2 aty)
% Number of variables : 61 (; 57 !; 4 ?; 61 :)
% 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(f454,plain,
$false,
inference(evaluation,[],[f453]) ).
tff(f453,plain,
$less(3442675,3000000),
inference(forward_demodulation,[],[f452,f35]) ).
tff(f35,plain,
inh(berlin) = 3442675,
inference(cnf_transformation,[],[f19]) ).
tff(f19,plain,
( ! [X0: city] :
( $less(inh(X0),3000000)
| $less(600,d(saarbruecken,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),3000000)
| $less(600,d(saarbruecken,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),3000000)
| $less(600,d(saarbruecken,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),3000000)
& ~ $less(600,d(saarbruecken,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),3000000)
& ~ $less(600,d(saarbruecken,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(3000000,inh(X0))
& $lesseq(d(saarbruecken,X0),600) ) ),
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(3000000,inh(X0))
& $lesseq(d(saarbruecken,X0),600) ) ),
file('/export/starexec/sandbox/tmp/tmp.qkUyvLSp1z/Vampire---4.8_29935',exists_big_city_distance_2) ).
tff(f452,plain,
$less(inh(berlin),3000000),
inference(evaluation,[],[f450]) ).
tff(f450,plain,
( ~ $less(580,600)
| $less(inh(berlin),3000000) ),
inference(resolution,[],[f438,f75]) ).
tff(f75,plain,
! [X0: city] :
( $less(600,d(X0,saarbruecken))
| $less(inh(X0),3000000) ),
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(600,d(saarbruecken,X0))
| $less(inh(X0),3000000) ),
inference(cnf_transformation,[],[f19]) ).
tff(f438,plain,
! [X38: $int] :
( ~ $less(X38,d(berlin,saarbruecken))
| ~ $less(580,X38) ),
inference(resolution,[],[f10,f371]) ).
tff(f371,plain,
~ $less(580,d(berlin,saarbruecken)),
inference(evaluation,[],[f358]) ).
tff(f358,plain,
~ $less($sum(420,160),d(berlin,saarbruecken)),
inference(superposition,[],[f112,f46]) ).
tff(f46,plain,
160 = d(frankfurt,saarbruecken),
inference(superposition,[],[f20,f26]) ).
tff(f26,plain,
d(saarbruecken,frankfurt) = 160,
inference(cnf_transformation,[],[f19]) ).
tff(f112,plain,
! [X14: city] : ~ $less($sum(420,d(frankfurt,X14)),d(berlin,X14)),
inference(superposition,[],[f21,f25]) ).
tff(f25,plain,
d(berlin,frankfurt) = 420,
inference(cnf_transformation,[],[f19]) ).
tff(f21,plain,
! [X2: city,X3: city,X4: city] : ~ $less($sum(d(X2,X3),d(X3,X4)),d(X2,X4)),
inference(cnf_transformation,[],[f19]) ).
tff(f10,plain,
! [X2: $int,X0: $int,X1: $int] :
( $less(X0,X2)
| ~ $less(X1,X2)
| ~ $less(X0,X1) ),
introduced(theory_axiom_146,[]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : GEG025_1 : TPTP v8.1.2. Bugfixed v5.2.0.
% 0.11/0.13 % Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.12/0.33 % Computer : n005.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Wed Aug 30 16:50:22 EDT 2023
% 0.12/0.33 % CPUTime :
% 0.17/0.40 % (30046)Running in auto input_syntax mode. Trying TPTP
% 0.17/0.40 % (30047)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on Vampire---4 for (846ds/0Mi)
% 0.17/0.40 % (30048)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on Vampire---4 for (793ds/0Mi)
% 0.17/0.40 % (30050)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on Vampire---4 for (533ds/0Mi)
% 0.17/0.40 % (30052)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 Vampire---4 for (522ds/0Mi)
% 0.17/0.40 % (30049)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 Vampire---4 for (569ds/0Mi)
% 0.17/0.40 % (30053)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 Vampire---4 for (497ds/0Mi)
% 0.17/0.40 % (30047)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.17/0.40 % (30047)Terminated due to inappropriate strategy.
% 0.17/0.40 % (30047)------------------------------
% 0.17/0.40 % (30047)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.17/0.40 % (30048)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.17/0.40 % (30047)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.17/0.40 % (30047)Termination reason: Inappropriate
% 0.17/0.40
% 0.17/0.40 % (30047)Memory used [KB]: 895
% 0.17/0.40 % (30047)Time elapsed: 0.002 s
% 0.17/0.40 % (30047)------------------------------
% 0.17/0.40 % (30047)------------------------------
% 0.17/0.40 % (30050)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.17/0.40 % (30050)Terminated due to inappropriate strategy.
% 0.17/0.40 % (30050)------------------------------
% 0.17/0.40 % (30050)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.17/0.40 % (30050)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.17/0.40 % (30050)Termination reason: Inappropriate
% 0.17/0.40
% 0.17/0.40 % (30050)Memory used [KB]: 895
% 0.17/0.40 % (30050)Time elapsed: 0.002 s
% 0.17/0.40 % (30050)------------------------------
% 0.17/0.40 % (30050)------------------------------
% 0.17/0.40 % (30048)Terminated due to inappropriate strategy.
% 0.17/0.40 % (30048)------------------------------
% 0.17/0.40 % (30048)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.17/0.40 % (30048)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.17/0.40 % (30048)Termination reason: Inappropriate
% 0.17/0.40
% 0.17/0.40 % (30048)Memory used [KB]: 895
% 0.17/0.40 % (30048)Time elapsed: 0.002 s
% 0.17/0.40 % (30048)------------------------------
% 0.17/0.40 % (30048)------------------------------
% 0.17/0.40 % (30051)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 Vampire---4 for (531ds/0Mi)
% 0.17/0.40 % (30054)fmb+10_1_fmbas=expand:fmbsr=1.1:gsp=on:nm=4_411 on Vampire---4 for (411ds/0Mi)
% 0.17/0.40 % (30055)ott+1_9_av=off:bd=off:bs=on:gsp=on:lcm=predicate:nm=4:sp=weighted_frequency:urr=on_382 on Vampire---4 for (382ds/0Mi)
% 0.17/0.40 % (30056)lrs-11_2:5_fsd=off:fde=none:nm=4:nwc=5.0:sims=off:sp=reverse_weighted_frequency:stl=62_367 on Vampire---4 for (367ds/0Mi)
% 0.17/0.40 % (30054)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.17/0.40 % (30054)Terminated due to inappropriate strategy.
% 0.17/0.40 % (30054)------------------------------
% 0.17/0.40 % (30054)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.17/0.40 % (30054)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.17/0.40 % (30054)Termination reason: Inappropriate
% 0.17/0.40
% 0.17/0.40 % (30054)Memory used [KB]: 895
% 0.17/0.40 % (30054)Time elapsed: 0.001 s
% 0.17/0.40 % (30054)------------------------------
% 0.17/0.40 % (30054)------------------------------
% 0.17/0.41 % (30057)ott+4_64_acc=on:anc=none:bs=on:bsr=on:fsd=off:gs=on:gsem=off:irw=on:msp=off:nwc=2.5:nicw=on:sims=off_354 on Vampire---4 for (354ds/0Mi)
% 0.17/0.41 % (30052)First to succeed.
% 0.17/0.41 % (30052)Refutation found. Thanks to Tanya!
% 0.17/0.41 % SZS status Theorem for Vampire---4
% 0.17/0.41 % SZS output start Proof for Vampire---4
% See solution above
% 0.17/0.41 % (30052)------------------------------
% 0.17/0.41 % (30052)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.17/0.41 % (30052)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.17/0.41 % (30052)Termination reason: Refutation
% 0.17/0.41
% 0.17/0.41 % (30052)Memory used [KB]: 1279
% 0.17/0.41 % (30052)Time elapsed: 0.014 s
% 0.17/0.41 % (30052)------------------------------
% 0.17/0.41 % (30052)------------------------------
% 0.17/0.41 % (30046)Success in time 0.076 s
% 0.17/0.41 % Vampire---4.8 exiting
%------------------------------------------------------------------------------