TSTP Solution File: GEG024_1 by SnakeForV---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : GEG024_1 : TPTP v8.1.0. Bugfixed v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% Computer : n012.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 Aug 31 16:07:19 EDT 2022
% Result : Theorem 0.20s 0.50s
% Output : Refutation 0.20s
% 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 : 24 ( 11 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(f59,plain,
$false,
inference(evaluation,[],[f58]) ).
tff(f58,plain,
$less(1774224,1000000),
inference(forward_demodulation,[],[f55,f26]) ).
tff(f26,plain,
inh(hamburg) = 1774224,
inference(cnf_transformation,[],[f7]) ).
tff(f7,plain,
( ( d(berlin,munich) = 510 )
& ! [X0: city,X1: city,X2: city] : ~ $less($sum(d(X0,X2),d(X2,X1)),d(X0,X1))
& ( inh(frankfurt) = 671927 )
& ( d(hamburg,cologne) = 360 )
& ( inh(hamburg) = 1774224 )
& ( d(saarbruecken,cologne) = 190 )
& ( d(hamburg,kiel) = 90 )
& ( d(hamburg,frankfurt) = 390 )
& ( inh(saarbruecken) = 175810 )
& ( d(cologne,frankfurt) = 150 )
& ! [X3: city] :
( $less(inh(X3),1000000)
| $less(100,d(kiel,X3)) )
& ( inh(cologne) = 998105 )
& ( 360 = d(munich,saarbruecken) )
& ( inh(munich) = 1330440 )
& ( d(berlin,frankfurt) = 420 )
& ! [X4: city] : ( 0 = d(X4,X4) )
& ( d(saarbruecken,frankfurt) = 160 )
& ( inh(kiel) = 238281 )
& ( inh(berlin) = 3442675 )
& ( d(berlin,cologne) = 480 )
& ! [X5: city,X6: city] : ( d(X5,X6) = d(X6,X5) )
& ( d(munich,frankfurt) = 300 )
& ( d(hamburg,berlin) = 250 ) ),
inference(rectify,[],[f6]) ).
tff(f6,plain,
( ( d(berlin,munich) = 510 )
& ! [X4: city,X5: city,X3: city] : ~ $less($sum(d(X4,X3),d(X3,X5)),d(X4,X5))
& ( inh(frankfurt) = 671927 )
& ( d(hamburg,cologne) = 360 )
& ( inh(hamburg) = 1774224 )
& ( d(saarbruecken,cologne) = 190 )
& ( d(hamburg,kiel) = 90 )
& ( d(hamburg,frankfurt) = 390 )
& ( inh(saarbruecken) = 175810 )
& ( d(cologne,frankfurt) = 150 )
& ! [X6: city] :
( $less(inh(X6),1000000)
| $less(100,d(kiel,X6)) )
& ( inh(cologne) = 998105 )
& ( 360 = d(munich,saarbruecken) )
& ( inh(munich) = 1330440 )
& ( d(berlin,frankfurt) = 420 )
& ! [X2: city] : ( 0 = d(X2,X2) )
& ( d(saarbruecken,frankfurt) = 160 )
& ( inh(kiel) = 238281 )
& ( inh(berlin) = 3442675 )
& ( d(berlin,cologne) = 480 )
& ! [X1: city,X0: city] : ( d(X0,X1) = d(X1,X0) )
& ( d(munich,frankfurt) = 300 )
& ( d(hamburg,berlin) = 250 ) ),
inference(flattening,[],[f5]) ).
tff(f5,plain,
( ! [X6: city] :
( $less(inh(X6),1000000)
| $less(100,d(kiel,X6)) )
& ( inh(kiel) = 238281 )
& ( d(hamburg,cologne) = 360 )
& ( d(berlin,frankfurt) = 420 )
& ! [X4: city,X5: city,X3: city] : ~ $less($sum(d(X4,X3),d(X3,X5)),d(X4,X5))
& ( d(saarbruecken,cologne) = 190 )
& ( inh(hamburg) = 1774224 )
& ( d(berlin,munich) = 510 )
& ( inh(munich) = 1330440 )
& ( inh(berlin) = 3442675 )
& ( d(hamburg,frankfurt) = 390 )
& ! [X1: city,X0: city] : ( d(X0,X1) = d(X1,X0) )
& ( 360 = d(munich,saarbruecken) )
& ( d(hamburg,kiel) = 90 )
& ( d(hamburg,berlin) = 250 )
& ! [X2: city] : ( 0 = d(X2,X2) )
& ( d(saarbruecken,frankfurt) = 160 )
& ( inh(cologne) = 998105 )
& ( d(berlin,cologne) = 480 )
& ( d(cologne,frankfurt) = 150 )
& ( inh(frankfurt) = 671927 )
& ( d(munich,frankfurt) = 300 )
& ( inh(saarbruecken) = 175810 ) ),
inference(ennf_transformation,[],[f4]) ).
tff(f4,plain,
~ ( ( ( inh(kiel) = 238281 )
& ( d(hamburg,cologne) = 360 )
& ( d(berlin,frankfurt) = 420 )
& ! [X4: city,X5: city,X3: city] : ~ $less($sum(d(X4,X3),d(X3,X5)),d(X4,X5))
& ( d(saarbruecken,cologne) = 190 )
& ( inh(hamburg) = 1774224 )
& ( d(berlin,munich) = 510 )
& ( inh(munich) = 1330440 )
& ( inh(berlin) = 3442675 )
& ( d(hamburg,frankfurt) = 390 )
& ! [X1: city,X0: city] : ( d(X0,X1) = d(X1,X0) )
& ( 360 = d(munich,saarbruecken) )
& ( d(hamburg,kiel) = 90 )
& ( d(hamburg,berlin) = 250 )
& ! [X2: city] : ( 0 = d(X2,X2) )
& ( d(saarbruecken,frankfurt) = 160 )
& ( inh(cologne) = 998105 )
& ( d(berlin,cologne) = 480 )
& ( d(cologne,frankfurt) = 150 )
& ( inh(frankfurt) = 671927 )
& ( d(munich,frankfurt) = 300 )
& ( inh(saarbruecken) = 175810 ) )
=> ? [X6: city] :
( ~ $less(inh(X6),1000000)
& ~ $less(100,d(kiel,X6)) ) ),
inference(rectify,[],[f3]) ).
tff(f3,plain,
~ ( ( ( inh(cologne) = 998105 )
& ! [X1: city,X0: city] : ( d(X0,X1) = d(X1,X0) )
& ( d(hamburg,frankfurt) = 390 )
& ( d(cologne,frankfurt) = 150 )
& ( 360 = d(munich,saarbruecken) )
& ( d(hamburg,kiel) = 90 )
& ( inh(hamburg) = 1774224 )
& ( d(saarbruecken,cologne) = 190 )
& ( d(berlin,frankfurt) = 420 )
& ( d(munich,frankfurt) = 300 )
& ! [X0: city] : ( d(X0,X0) = 0 )
& ( d(saarbruecken,frankfurt) = 160 )
& ( d(hamburg,berlin) = 250 )
& ( inh(kiel) = 238281 )
& ( d(berlin,cologne) = 480 )
& ( inh(frankfurt) = 671927 )
& ! [X1: city,X0: city,X2: city] : ~ $less($sum(d(X0,X1),d(X1,X2)),d(X0,X2))
& ( d(berlin,munich) = 510 )
& ( inh(saarbruecken) = 175810 )
& ( d(hamburg,cologne) = 360 )
& ( inh(munich) = 1330440 )
& ( inh(berlin) = 3442675 ) )
=> ? [X0: city] :
( ~ $less(100,d(kiel,X0))
& ~ $less(inh(X0),1000000) ) ),
inference(theory_normalization,[],[f2]) ).
tff(f2,negated_conjecture,
~ ( ( ( inh(cologne) = 998105 )
& ! [X1: city,X0: city] : ( d(X0,X1) = d(X1,X0) )
& ( d(hamburg,frankfurt) = 390 )
& ( d(cologne,frankfurt) = 150 )
& ( 360 = d(munich,saarbruecken) )
& ( d(hamburg,kiel) = 90 )
& ( inh(hamburg) = 1774224 )
& ( d(saarbruecken,cologne) = 190 )
& ( d(berlin,frankfurt) = 420 )
& ( d(munich,frankfurt) = 300 )
& ! [X0: city] : ( d(X0,X0) = 0 )
& ( d(saarbruecken,frankfurt) = 160 )
& ( d(hamburg,berlin) = 250 )
& ( inh(kiel) = 238281 )
& ( d(berlin,cologne) = 480 )
& ( inh(frankfurt) = 671927 )
& ! [X1: city,X0: city,X2: city] : $lesseq(d(X0,X2),$sum(d(X0,X1),d(X1,X2)))
& ( d(berlin,munich) = 510 )
& ( inh(saarbruecken) = 175810 )
& ( d(hamburg,cologne) = 360 )
& ( inh(munich) = 1330440 )
& ( inh(berlin) = 3442675 ) )
=> ? [X0: city] :
( $lesseq(d(kiel,X0),100)
& $lesseq(1000000,inh(X0)) ) ),
inference(negated_conjecture,[],[f1]) ).
tff(f1,conjecture,
( ( ( inh(cologne) = 998105 )
& ! [X1: city,X0: city] : ( d(X0,X1) = d(X1,X0) )
& ( d(hamburg,frankfurt) = 390 )
& ( d(cologne,frankfurt) = 150 )
& ( 360 = d(munich,saarbruecken) )
& ( d(hamburg,kiel) = 90 )
& ( inh(hamburg) = 1774224 )
& ( d(saarbruecken,cologne) = 190 )
& ( d(berlin,frankfurt) = 420 )
& ( d(munich,frankfurt) = 300 )
& ! [X0: city] : ( d(X0,X0) = 0 )
& ( d(saarbruecken,frankfurt) = 160 )
& ( d(hamburg,berlin) = 250 )
& ( inh(kiel) = 238281 )
& ( d(berlin,cologne) = 480 )
& ( inh(frankfurt) = 671927 )
& ! [X1: city,X0: city,X2: city] : $lesseq(d(X0,X2),$sum(d(X0,X1),d(X1,X2)))
& ( d(berlin,munich) = 510 )
& ( inh(saarbruecken) = 175810 )
& ( d(hamburg,cologne) = 360 )
& ( inh(munich) = 1330440 )
& ( inh(berlin) = 3442675 ) )
=> ? [X0: city] :
( $lesseq(d(kiel,X0),100)
& $lesseq(1000000,inh(X0)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',exists_big_city_distance_1) ).
tff(f55,plain,
$less(inh(hamburg),1000000),
inference(evaluation,[],[f51]) ).
tff(f51,plain,
( $less(100,90)
| $less(inh(hamburg),1000000) ),
inference(superposition,[],[f20,f31]) ).
tff(f31,plain,
90 = d(kiel,hamburg),
inference(superposition,[],[f10,f24]) ).
tff(f24,plain,
d(hamburg,kiel) = 90,
inference(cnf_transformation,[],[f7]) ).
tff(f10,plain,
! [X6: city,X5: city] : ( d(X5,X6) = d(X6,X5) ),
inference(cnf_transformation,[],[f7]) ).
tff(f20,plain,
! [X3: city] :
( $less(100,d(kiel,X3))
| $less(inh(X3),1000000) ),
inference(cnf_transformation,[],[f7]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GEG024=1 : TPTP v8.1.0. Bugfixed v5.2.0.
% 0.07/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.13/0.35 % Computer : n012.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Mon Aug 29 20:51:36 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.20/0.48 % (23074)dis+10_1:64_nwc=1.4:tha=off:i=21:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/21Mi)
% 0.20/0.49 % (23090)dis+20_1:12_aac=none:acc=model:awrs=converge:fd=preordered:fsr=off:nicw=on:nwc=3.0:s2a=on:s2agt=16:spb=goal:to=lpo:i=41:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/41Mi)
% 0.20/0.49 % (23074)First to succeed.
% 0.20/0.50 % (23074)Refutation found. Thanks to Tanya!
% 0.20/0.50 % SZS status Theorem for theBenchmark
% 0.20/0.50 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.50 % (23074)------------------------------
% 0.20/0.50 % (23074)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.50 % (23074)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.50 % (23074)Termination reason: Refutation
% 0.20/0.50
% 0.20/0.50 % (23074)Memory used [KB]: 5500
% 0.20/0.50 % (23074)Time elapsed: 0.085 s
% 0.20/0.50 % (23074)Instructions burned: 4 (million)
% 0.20/0.50 % (23074)------------------------------
% 0.20/0.50 % (23074)------------------------------
% 0.20/0.50 % (23060)Success in time 0.143 s
%------------------------------------------------------------------------------