TSTP Solution File: GEG023_1 by SnakeForV-SAT---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : GEG023_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_sat --cores 0 -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 : Wed Aug 31 16:07:21 EDT 2022
% Result : Theorem 12.83s 2.00s
% Output : Refutation 12.83s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 313
% Syntax : Number of formulae : 1301 ( 37 unt; 9 typ; 0 def)
% Number of atoms : 3464 ( 485 equ)
% Maximal formula atoms : 16 ( 2 avg)
% Number of connectives : 3700 (1528 ~;1781 |; 86 &)
% ( 301 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number arithmetic : 3976 ( 813 atm;1015 fun;2141 num; 7 var)
% Number of types : 2 ( 1 usr; 1 ari)
% Number of type conns : 2 ( 1 >; 1 *; 0 +; 0 <<)
% Number of predicates : 305 ( 301 usr; 302 prp; 0-2 aty)
% Number of functors : 36 ( 8 usr; 34 con; 0-2 aty)
% Number of variables : 181 ( 181 !; 0 ?; 181 :)
% Comments :
%------------------------------------------------------------------------------
tff(type_def_5,type,
city: $tType ).
tff(func_def_0,type,
d: ( city * city ) > $int ).
tff(func_def_1,type,
kiel: city ).
tff(func_def_2,type,
hamburg: city ).
tff(func_def_3,type,
berlin: city ).
tff(func_def_4,type,
cologne: city ).
tff(func_def_5,type,
frankfurt: city ).
tff(func_def_6,type,
saarbruecken: city ).
tff(func_def_7,type,
munich: city ).
tff(f11804,plain,
$false,
inference(avatar_smt_refutation,[],[f39,f44,f49,f54,f59,f64,f69,f74,f79,f84,f89,f94,f99,f124,f129,f134,f139,f140,f141,f146,f147,f148,f149,f150,f151,f152,f153,f154,f155,f156,f157,f158,f159,f258,f263,f270,f301,f307,f329,f342,f364,f375,f399,f405,f427,f457,f465,f487,f512,f584,f640,f664,f672,f692,f703,f710,f730,f758,f788,f819,f853,f858,f888,f896,f925,f930,f963,f1212,f1265,f1340,f1703,f1712,f1721,f1730,f1739,f1748,f1757,f1766,f1775,f1784,f1793,f1794,f1803,f1812,f1821,f1830,f1839,f1840,f1841,f1850,f1859,f1860,f1869,f1878,f1887,f1888,f1897,f1898,f1899,f1900,f1901,f1910,f1911,f1912,f1921,f1922,f1931,f1932,f1933,f1942,f1943,f1944,f1945,f1946,f1947,f1948,f1949,f1950,f1951,f1952,f1953,f1954,f2678,f2971,f3077,f3205,f3709,f3931,f3964,f3965,f3976,f3977,f3988,f3989,f4031,f4032,f4043,f4044,f4233,f4268,f4269,f4331,f4344,f4345,f4372,f4382,f4394,f4395,f4417,f4453,f4500,f4674,f4675,f4735,f4736,f4837,f4838,f4849,f4850,f5153,f5164,f5165,f5189,f5204,f5205,f5240,f5381,f5382,f5525,f5537,f5550,f5551,f5577,f5587,f5606,f5607,f5637,f5650,f5701,f5710,f5716,f5835,f5836,f5896,f5897,f6030,f6031,f6166,f6167,f6178,f6179,f6254,f6255,f6311,f6341,f6388,f6659,f6660,f6757,f6798,f6867,f6920,f7001,f7083,f7269,f7282,f7287,f7299,f7306,f7308,f7326,f7332,f7337,f7343,f7350,f7356,f7361,f7365,f7367,f7369,f7384,f7399,f7400,f7405,f7407,f7408,f7410,f7415,f7421,f7434,f7441,f7453,f7454,f7455,f7599,f7611,f7620,f7634,f7648,f7692,f7711,f8231,f8704,f8710,f8725,f8732,f8740,f8749,f8750,f8756,f8769,f8785,f8794,f8801,f8807,f8811,f8821,f8826,f8828,f8832,f8835,f8850,f8861,f8862,f8868,f8869,f8878,f8880,f9801,f9802,f9813,f9814,f10044,f10045,f10056,f10057,f10171,f10172,f10266,f10267,f10280,f10281,f10480,f10481,f10492,f10493,f10504,f10505,f10567,f10568,f10734,f10735,f10899,f10900,f10913,f10914,f10948,f10949,f10962,f10963,f11001,f11002,f11694,f11705,f11716,f11717,f11718,f11729,f11738,f11739,f11750,f11751,f11760,f11761,f11772,f11781,f11784,f11785,f11796,f11797,f11800,f11803]) ).
tff(f11803,plain,
( spl0_294
| spl0_295
| ~ spl0_5 ),
inference(avatar_split_clause,[],[f11802,f56,f11757,f11753]) ).
tff(f11753,plain,
( spl0_294
<=> $less(640,$sum(d(kiel,saarbruecken),0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_294])]) ).
tff(f11757,plain,
( spl0_295
<=> ( 640 = $sum(d(kiel,saarbruecken),0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_295])]) ).
tff(f56,plain,
( spl0_5
<=> $less(640,d(kiel,saarbruecken)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).
tff(f11802,plain,
( ( 640 = $sum(d(kiel,saarbruecken),0) )
| $less(640,$sum(d(kiel,saarbruecken),0))
| ~ spl0_5 ),
inference(forward_demodulation,[],[f11801,f24]) ).
tff(f24,plain,
! [X2: city,X1: city] : ( d(X1,X2) = d(X2,X1) ),
inference(cnf_transformation,[],[f18]) ).
tff(f18,plain,
( ( d(saarbruecken,frankfurt) = 160 )
& $less(640,d(kiel,saarbruecken))
& ( d(berlin,frankfurt) = 420 )
& ( d(hamburg,cologne) = 360 )
& ! [X5: city,X4: city,X3: city] : ~ $less($sum(d(X5,X3),d(X3,X4)),d(X5,X4))
& ( d(cologne,frankfurt) = 150 )
& ( 360 = d(munich,saarbruecken) )
& ( d(munich,frankfurt) = 300 )
& ( d(berlin,munich) = 510 )
& ( d(hamburg,berlin) = 250 )
& ! [X2: city,X1: city] : ( d(X1,X2) = d(X2,X1) )
& ! [X0: city] : ( d(X0,X0) = 0 )
& ( d(saarbruecken,cologne) = 190 )
& ( d(hamburg,kiel) = 90 )
& ( d(berlin,cologne) = 480 )
& ( d(hamburg,frankfurt) = 390 ) ),
inference(flattening,[],[f17]) ).
tff(f17,plain,
( $less(640,d(kiel,saarbruecken))
& ( d(hamburg,kiel) = 90 )
& ( d(hamburg,cologne) = 360 )
& ( d(berlin,cologne) = 480 )
& ! [X0: city] : ( d(X0,X0) = 0 )
& ( d(berlin,frankfurt) = 420 )
& ( d(saarbruecken,cologne) = 190 )
& ! [X5: city,X4: city,X3: city] : ~ $less($sum(d(X5,X3),d(X3,X4)),d(X5,X4))
& ( d(cologne,frankfurt) = 150 )
& ( d(munich,frankfurt) = 300 )
& ( d(saarbruecken,frankfurt) = 160 )
& ( d(berlin,munich) = 510 )
& ! [X2: city,X1: city] : ( d(X1,X2) = d(X2,X1) )
& ( d(hamburg,frankfurt) = 390 )
& ( d(hamburg,berlin) = 250 )
& ( 360 = d(munich,saarbruecken) ) ),
inference(ennf_transformation,[],[f16]) ).
tff(f16,plain,
~ ( ( ( d(hamburg,kiel) = 90 )
& ( d(hamburg,cologne) = 360 )
& ( d(berlin,cologne) = 480 )
& ! [X0: city] : ( d(X0,X0) = 0 )
& ( d(berlin,frankfurt) = 420 )
& ( d(saarbruecken,cologne) = 190 )
& ! [X5: city,X4: city,X3: city] : ~ $less($sum(d(X5,X3),d(X3,X4)),d(X5,X4))
& ( d(cologne,frankfurt) = 150 )
& ( d(munich,frankfurt) = 300 )
& ( d(saarbruecken,frankfurt) = 160 )
& ( d(berlin,munich) = 510 )
& ! [X2: city,X1: city] : ( d(X1,X2) = d(X2,X1) )
& ( d(hamburg,frankfurt) = 390 )
& ( d(hamburg,berlin) = 250 )
& ( 360 = d(munich,saarbruecken) ) )
=> ~ $less(640,d(kiel,saarbruecken)) ),
inference(rectify,[],[f3]) ).
tff(f3,plain,
~ ( ( ( d(munich,frankfurt) = 300 )
& ( d(berlin,frankfurt) = 420 )
& ( d(hamburg,cologne) = 360 )
& ! [X0: city] : ( d(X0,X0) = 0 )
& ( d(cologne,frankfurt) = 150 )
& ( d(hamburg,kiel) = 90 )
& ! [X0: city,X1: city] : ( d(X0,X1) = d(X1,X0) )
& ! [X1: city,X2: city,X0: city] : ~ $less($sum(d(X0,X1),d(X1,X2)),d(X0,X2))
& ( d(saarbruecken,frankfurt) = 160 )
& ( d(hamburg,berlin) = 250 )
& ( 360 = d(munich,saarbruecken) )
& ( d(berlin,cologne) = 480 )
& ( d(saarbruecken,cologne) = 190 )
& ( d(hamburg,frankfurt) = 390 )
& ( d(berlin,munich) = 510 ) )
=> ~ $less(640,d(kiel,saarbruecken)) ),
inference(theory_normalization,[],[f2]) ).
tff(f2,negated_conjecture,
~ ( ( ( d(munich,frankfurt) = 300 )
& ( d(berlin,frankfurt) = 420 )
& ( d(hamburg,cologne) = 360 )
& ! [X0: city] : ( d(X0,X0) = 0 )
& ( d(cologne,frankfurt) = 150 )
& ( d(hamburg,kiel) = 90 )
& ! [X0: city,X1: city] : ( d(X0,X1) = d(X1,X0) )
& ! [X1: city,X2: city,X0: city] : $lesseq(d(X0,X2),$sum(d(X0,X1),d(X1,X2)))
& ( d(saarbruecken,frankfurt) = 160 )
& ( d(hamburg,berlin) = 250 )
& ( 360 = d(munich,saarbruecken) )
& ( d(berlin,cologne) = 480 )
& ( d(saarbruecken,cologne) = 190 )
& ( d(hamburg,frankfurt) = 390 )
& ( d(berlin,munich) = 510 ) )
=> $lesseq(d(kiel,saarbruecken),640) ),
inference(negated_conjecture,[],[f1]) ).
tff(f1,conjecture,
( ( ( d(munich,frankfurt) = 300 )
& ( d(berlin,frankfurt) = 420 )
& ( d(hamburg,cologne) = 360 )
& ! [X0: city] : ( d(X0,X0) = 0 )
& ( d(cologne,frankfurt) = 150 )
& ( d(hamburg,kiel) = 90 )
& ! [X0: city,X1: city] : ( d(X0,X1) = d(X1,X0) )
& ! [X1: city,X2: city,X0: city] : $lesseq(d(X0,X2),$sum(d(X0,X1),d(X1,X2)))
& ( d(saarbruecken,frankfurt) = 160 )
& ( d(hamburg,berlin) = 250 )
& ( 360 = d(munich,saarbruecken) )
& ( d(berlin,cologne) = 480 )
& ( d(saarbruecken,cologne) = 190 )
& ( d(hamburg,frankfurt) = 390 )
& ( d(berlin,munich) = 510 ) )
=> $lesseq(d(kiel,saarbruecken),640) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',city_distance_3) ).
tff(f11801,plain,
( $less(640,$sum(d(kiel,saarbruecken),0))
| ( 640 = $sum(d(saarbruecken,kiel),0) )
| ~ spl0_5 ),
inference(forward_demodulation,[],[f11675,f24]) ).
tff(f11675,plain,
( $less(640,$sum(d(saarbruecken,kiel),0))
| ( 640 = $sum(d(saarbruecken,kiel),0) )
| ~ spl0_5 ),
inference(resolution,[],[f1965,f1369]) ).
tff(f1369,plain,
! [X0: city,X1: city] : ~ $less($sum(d(X0,X1),0),d(X1,X0)),
inference(superposition,[],[f162,f23]) ).
tff(f23,plain,
! [X0: city] : ( d(X0,X0) = 0 ),
inference(cnf_transformation,[],[f18]) ).
tff(f162,plain,
! [X6: city,X7: city,X5: city] : ~ $less($sum(d(X6,X5),d(X6,X7)),d(X5,X7)),
inference(superposition,[],[f30,f24]) ).
tff(f30,plain,
! [X3: city,X4: city,X5: city] : ~ $less($sum(d(X5,X3),d(X3,X4)),d(X5,X4)),
inference(cnf_transformation,[],[f18]) ).
tff(f1965,plain,
( ! [X0: $int] :
( $less(X0,d(kiel,saarbruecken))
| $less(640,X0)
| ( 640 = X0 ) )
| ~ spl0_5 ),
inference(resolution,[],[f1529,f11]) ).
tff(f11,plain,
! [X0: $int,X1: $int] :
( $less(X1,X0)
| $less(X0,X1)
| ( X0 = X1 ) ),
introduced(theory_axiom_149,[]) ).
tff(f1529,plain,
( ! [X0: $int] :
( ~ $less(X0,640)
| $less(X0,d(kiel,saarbruecken)) )
| ~ spl0_5 ),
inference(resolution,[],[f10,f58]) ).
tff(f58,plain,
( $less(640,d(kiel,saarbruecken))
| ~ spl0_5 ),
inference(avatar_component_clause,[],[f56]) ).
tff(f10,plain,
! [X2: $int,X0: $int,X1: $int] :
( ~ $less(X1,X2)
| ~ $less(X0,X1)
| $less(X0,X2) ),
introduced(theory_axiom_148,[]) ).
tff(f11800,plain,
( spl0_291
| spl0_290
| ~ spl0_5 ),
inference(avatar_split_clause,[],[f11799,f56,f11731,f11735]) ).
tff(f11735,plain,
( spl0_291
<=> $less(640,$sum(0,d(kiel,saarbruecken))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_291])]) ).
tff(f11731,plain,
( spl0_290
<=> ( 640 = $sum(0,d(kiel,saarbruecken)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_290])]) ).
tff(f11799,plain,
( ( 640 = $sum(0,d(kiel,saarbruecken)) )
| $less(640,$sum(0,d(kiel,saarbruecken)))
| ~ spl0_5 ),
inference(forward_demodulation,[],[f11798,f24]) ).
tff(f11798,plain,
( $less(640,$sum(0,d(saarbruecken,kiel)))
| ( 640 = $sum(0,d(kiel,saarbruecken)) )
| ~ spl0_5 ),
inference(forward_demodulation,[],[f11669,f24]) ).
tff(f11669,plain,
( ( 640 = $sum(0,d(saarbruecken,kiel)) )
| $less(640,$sum(0,d(saarbruecken,kiel)))
| ~ spl0_5 ),
inference(resolution,[],[f1965,f1409]) ).
tff(f1409,plain,
! [X0: city,X1: city] : ~ $less($sum(0,d(X1,X0)),d(X0,X1)),
inference(superposition,[],[f176,f23]) ).
tff(f176,plain,
! [X2: city,X3: city,X4: city] : ~ $less($sum(d(X4,X2),d(X3,X2)),d(X4,X3)),
inference(superposition,[],[f30,f24]) ).
tff(f11797,plain,
( spl0_300
| spl0_301
| ~ spl0_1
| ~ spl0_5 ),
inference(avatar_split_clause,[],[f11683,f56,f36,f11793,f11789]) ).
tff(f11789,plain,
( spl0_300
<=> $less(640,$sum(d(hamburg,saarbruecken),90)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_300])]) ).
tff(f11793,plain,
( spl0_301
<=> ( 640 = $sum(d(hamburg,saarbruecken),90) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_301])]) ).
tff(f36,plain,
( spl0_1
<=> ( d(hamburg,kiel) = 90 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).
tff(f11683,plain,
( ( 640 = $sum(d(hamburg,saarbruecken),90) )
| $less(640,$sum(d(hamburg,saarbruecken),90))
| ~ spl0_1
| ~ spl0_5 ),
inference(resolution,[],[f1965,f2990]) ).
tff(f2990,plain,
( ! [X0: city] : ~ $less($sum(d(hamburg,X0),90),d(kiel,X0))
| ~ spl0_1 ),
inference(superposition,[],[f613,f24]) ).
tff(f613,plain,
( ! [X1: city] : ~ $less($sum(d(hamburg,X1),90),d(X1,kiel))
| ~ spl0_1 ),
inference(superposition,[],[f178,f24]) ).
tff(f178,plain,
( ! [X8: city] : ~ $less($sum(d(X8,hamburg),90),d(X8,kiel))
| ~ spl0_1 ),
inference(superposition,[],[f30,f38]) ).
tff(f38,plain,
( ( d(hamburg,kiel) = 90 )
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f36]) ).
tff(f11796,plain,
( spl0_300
| spl0_301
| ~ spl0_1
| ~ spl0_5 ),
inference(avatar_split_clause,[],[f11787,f56,f36,f11793,f11789]) ).
tff(f11787,plain,
( ( 640 = $sum(d(hamburg,saarbruecken),90) )
| $less(640,$sum(d(hamburg,saarbruecken),90))
| ~ spl0_1
| ~ spl0_5 ),
inference(forward_demodulation,[],[f11786,f24]) ).
tff(f11786,plain,
( $less(640,$sum(d(hamburg,saarbruecken),90))
| ( 640 = $sum(d(saarbruecken,hamburg),90) )
| ~ spl0_1
| ~ spl0_5 ),
inference(forward_demodulation,[],[f11682,f24]) ).
tff(f11682,plain,
( $less(640,$sum(d(saarbruecken,hamburg),90))
| ( 640 = $sum(d(saarbruecken,hamburg),90) )
| ~ spl0_1
| ~ spl0_5 ),
inference(resolution,[],[f1965,f616]) ).
tff(f616,plain,
( ! [X0: city] : ~ $less($sum(d(X0,hamburg),90),d(kiel,X0))
| ~ spl0_1 ),
inference(superposition,[],[f178,f24]) ).
tff(f11785,plain,
( spl0_297
| spl0_296
| ~ spl0_5
| ~ spl0_17 ),
inference(avatar_split_clause,[],[f11667,f136,f56,f11765,f11769]) ).
tff(f11769,plain,
( spl0_297
<=> ( 640 = $sum(360,d(kiel,munich)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_297])]) ).
tff(f11765,plain,
( spl0_296
<=> $less(640,$sum(360,d(kiel,munich))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_296])]) ).
tff(f136,plain,
( spl0_17
<=> ( 360 = d(saarbruecken,munich) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_17])]) ).
tff(f11667,plain,
( $less(640,$sum(360,d(kiel,munich)))
| ( 640 = $sum(360,d(kiel,munich)) )
| ~ spl0_5
| ~ spl0_17 ),
inference(resolution,[],[f1965,f5120]) ).
tff(f5120,plain,
( ! [X1: city] : ~ $less($sum(360,d(X1,munich)),d(X1,saarbruecken))
| ~ spl0_17 ),
inference(superposition,[],[f1426,f24]) ).
tff(f1426,plain,
( ! [X22: city] : ~ $less($sum(360,d(X22,munich)),d(saarbruecken,X22))
| ~ spl0_17 ),
inference(superposition,[],[f176,f138]) ).
tff(f138,plain,
( ( 360 = d(saarbruecken,munich) )
| ~ spl0_17 ),
inference(avatar_component_clause,[],[f136]) ).
tff(f11784,plain,
( spl0_298
| spl0_299
| ~ spl0_5
| ~ spl0_16 ),
inference(avatar_split_clause,[],[f11783,f131,f56,f11778,f11774]) ).
tff(f11774,plain,
( spl0_298
<=> ( 640 = $sum(90,d(hamburg,saarbruecken)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_298])]) ).
tff(f11778,plain,
( spl0_299
<=> $less(640,$sum(90,d(hamburg,saarbruecken))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_299])]) ).
tff(f131,plain,
( spl0_16
<=> ( 90 = d(kiel,hamburg) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_16])]) ).
tff(f11783,plain,
( $less(640,$sum(90,d(hamburg,saarbruecken)))
| ( 640 = $sum(90,d(hamburg,saarbruecken)) )
| ~ spl0_5
| ~ spl0_16 ),
inference(forward_demodulation,[],[f11782,f24]) ).
tff(f11782,plain,
( ( 640 = $sum(90,d(hamburg,saarbruecken)) )
| $less(640,$sum(90,d(saarbruecken,hamburg)))
| ~ spl0_5
| ~ spl0_16 ),
inference(forward_demodulation,[],[f11658,f24]) ).
tff(f11658,plain,
( ( 640 = $sum(90,d(saarbruecken,hamburg)) )
| $less(640,$sum(90,d(saarbruecken,hamburg)))
| ~ spl0_5
| ~ spl0_16 ),
inference(resolution,[],[f1965,f1412]) ).
tff(f1412,plain,
( ! [X8: city] : ~ $less($sum(90,d(X8,hamburg)),d(kiel,X8))
| ~ spl0_16 ),
inference(superposition,[],[f176,f133]) ).
tff(f133,plain,
( ( 90 = d(kiel,hamburg) )
| ~ spl0_16 ),
inference(avatar_component_clause,[],[f131]) ).
tff(f11781,plain,
( spl0_298
| spl0_299
| ~ spl0_5
| ~ spl0_16 ),
inference(avatar_split_clause,[],[f11657,f131,f56,f11778,f11774]) ).
tff(f11657,plain,
( $less(640,$sum(90,d(hamburg,saarbruecken)))
| ( 640 = $sum(90,d(hamburg,saarbruecken)) )
| ~ spl0_5
| ~ spl0_16 ),
inference(resolution,[],[f1965,f213]) ).
tff(f213,plain,
( ! [X2: city] : ~ $less($sum(90,d(hamburg,X2)),d(kiel,X2))
| ~ spl0_16 ),
inference(superposition,[],[f30,f133]) ).
tff(f11772,plain,
( spl0_296
| spl0_297
| ~ spl0_5
| ~ spl0_17 ),
inference(avatar_split_clause,[],[f11763,f136,f56,f11769,f11765]) ).
tff(f11763,plain,
( ( 640 = $sum(360,d(kiel,munich)) )
| $less(640,$sum(360,d(kiel,munich)))
| ~ spl0_5
| ~ spl0_17 ),
inference(forward_demodulation,[],[f11762,f24]) ).
tff(f11762,plain,
( $less(640,$sum(360,d(munich,kiel)))
| ( 640 = $sum(360,d(kiel,munich)) )
| ~ spl0_5
| ~ spl0_17 ),
inference(forward_demodulation,[],[f11666,f24]) ).
tff(f11666,plain,
( ( 640 = $sum(360,d(munich,kiel)) )
| $less(640,$sum(360,d(munich,kiel)))
| ~ spl0_5
| ~ spl0_17 ),
inference(resolution,[],[f1965,f1486]) ).
tff(f1486,plain,
( ! [X22: city] : ~ $less($sum(360,d(munich,X22)),d(X22,saarbruecken))
| ~ spl0_17 ),
inference(superposition,[],[f191,f138]) ).
tff(f191,plain,
! [X2: city,X3: city,X4: city] : ~ $less($sum(d(X2,X4),d(X4,X3)),d(X3,X2)),
inference(superposition,[],[f30,f24]) ).
tff(f11761,plain,
( spl0_292
| spl0_293
| ~ spl0_5
| ~ spl0_15 ),
inference(avatar_split_clause,[],[f11676,f126,f56,f11747,f11743]) ).
tff(f11743,plain,
( spl0_292
<=> $less(640,$sum(d(kiel,frankfurt),160)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_292])]) ).
tff(f11747,plain,
( spl0_293
<=> ( 640 = $sum(d(kiel,frankfurt),160) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_293])]) ).
tff(f126,plain,
( spl0_15
<=> ( 160 = d(frankfurt,saarbruecken) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_15])]) ).
tff(f11676,plain,
( ( 640 = $sum(d(kiel,frankfurt),160) )
| $less(640,$sum(d(kiel,frankfurt),160))
| ~ spl0_5
| ~ spl0_15 ),
inference(resolution,[],[f1965,f209]) ).
tff(f209,plain,
( ! [X1: city] : ~ $less($sum(d(X1,frankfurt),160),d(X1,saarbruecken))
| ~ spl0_15 ),
inference(superposition,[],[f30,f128]) ).
tff(f128,plain,
( ( 160 = d(frankfurt,saarbruecken) )
| ~ spl0_15 ),
inference(avatar_component_clause,[],[f126]) ).
tff(f11760,plain,
( spl0_294
| spl0_295
| ~ spl0_5 ),
inference(avatar_split_clause,[],[f11674,f56,f11757,f11753]) ).
tff(f11674,plain,
( ( 640 = $sum(d(kiel,saarbruecken),0) )
| $less(640,$sum(d(kiel,saarbruecken),0))
| ~ spl0_5 ),
inference(resolution,[],[f1965,f175]) ).
tff(f175,plain,
! [X0: city,X1: city] : ~ $less($sum(d(X1,X0),0),d(X1,X0)),
inference(superposition,[],[f30,f23]) ).
tff(f11751,plain,
( spl0_285
| spl0_284
| ~ spl0_5
| ~ spl0_14 ),
inference(avatar_split_clause,[],[f11678,f121,f56,f11698,f11702]) ).
tff(f11702,plain,
( spl0_285
<=> ( 640 = $sum(d(kiel,cologne),190) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_285])]) ).
tff(f11698,plain,
( spl0_284
<=> $less(640,$sum(d(kiel,cologne),190)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_284])]) ).
tff(f121,plain,
( spl0_14
<=> ( 190 = d(cologne,saarbruecken) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_14])]) ).
tff(f11678,plain,
( $less(640,$sum(d(kiel,cologne),190))
| ( 640 = $sum(d(kiel,cologne),190) )
| ~ spl0_5
| ~ spl0_14 ),
inference(resolution,[],[f1965,f206]) ).
tff(f206,plain,
( ! [X1: city] : ~ $less($sum(d(X1,cologne),190),d(X1,saarbruecken))
| ~ spl0_14 ),
inference(superposition,[],[f30,f123]) ).
tff(f123,plain,
( ( 190 = d(cologne,saarbruecken) )
| ~ spl0_14 ),
inference(avatar_component_clause,[],[f121]) ).
tff(f11750,plain,
( spl0_292
| spl0_293
| ~ spl0_5
| ~ spl0_15 ),
inference(avatar_split_clause,[],[f11741,f126,f56,f11747,f11743]) ).
tff(f11741,plain,
( ( 640 = $sum(d(kiel,frankfurt),160) )
| $less(640,$sum(d(kiel,frankfurt),160))
| ~ spl0_5
| ~ spl0_15 ),
inference(forward_demodulation,[],[f11740,f24]) ).
tff(f11740,plain,
( ( 640 = $sum(d(frankfurt,kiel),160) )
| $less(640,$sum(d(kiel,frankfurt),160))
| ~ spl0_5
| ~ spl0_15 ),
inference(forward_demodulation,[],[f11677,f24]) ).
tff(f11677,plain,
( $less(640,$sum(d(frankfurt,kiel),160))
| ( 640 = $sum(d(frankfurt,kiel),160) )
| ~ spl0_5
| ~ spl0_15 ),
inference(resolution,[],[f1965,f1382]) ).
tff(f1382,plain,
( ! [X18: city] : ~ $less($sum(d(frankfurt,X18),160),d(X18,saarbruecken))
| ~ spl0_15 ),
inference(superposition,[],[f162,f128]) ).
tff(f11739,plain,
( spl0_289
| spl0_288
| ~ spl0_3
| ~ spl0_5 ),
inference(avatar_split_clause,[],[f11665,f56,f46,f11722,f11726]) ).
tff(f11726,plain,
( spl0_289
<=> ( 640 = $sum(190,d(kiel,cologne)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_289])]) ).
tff(f11722,plain,
( spl0_288
<=> $less(640,$sum(190,d(kiel,cologne))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_288])]) ).
tff(f46,plain,
( spl0_3
<=> ( d(saarbruecken,cologne) = 190 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).
tff(f11665,plain,
( $less(640,$sum(190,d(kiel,cologne)))
| ( 640 = $sum(190,d(kiel,cologne)) )
| ~ spl0_3
| ~ spl0_5 ),
inference(resolution,[],[f1965,f2754]) ).
tff(f2754,plain,
( ! [X0: city] : ~ $less($sum(190,d(X0,cologne)),d(X0,saarbruecken))
| ~ spl0_3 ),
inference(superposition,[],[f493,f24]) ).
tff(f493,plain,
( ! [X0: city] : ~ $less($sum(190,d(X0,cologne)),d(saarbruecken,X0))
| ~ spl0_3 ),
inference(superposition,[],[f171,f24]) ).
tff(f171,plain,
( ! [X16: city] : ~ $less($sum(190,d(cologne,X16)),d(saarbruecken,X16))
| ~ spl0_3 ),
inference(superposition,[],[f30,f48]) ).
tff(f48,plain,
( ( d(saarbruecken,cologne) = 190 )
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f46]) ).
tff(f11738,plain,
( spl0_290
| spl0_291
| ~ spl0_5 ),
inference(avatar_split_clause,[],[f11661,f56,f11735,f11731]) ).
tff(f11661,plain,
( $less(640,$sum(0,d(kiel,saarbruecken)))
| ( 640 = $sum(0,d(kiel,saarbruecken)) )
| ~ spl0_5 ),
inference(resolution,[],[f1965,f160]) ).
tff(f160,plain,
! [X0: city,X1: city] : ~ $less($sum(0,d(X0,X1)),d(X0,X1)),
inference(superposition,[],[f30,f23]) ).
tff(f11729,plain,
( spl0_288
| spl0_289
| ~ spl0_3
| ~ spl0_5 ),
inference(avatar_split_clause,[],[f11720,f56,f46,f11726,f11722]) ).
tff(f11720,plain,
( ( 640 = $sum(190,d(kiel,cologne)) )
| $less(640,$sum(190,d(kiel,cologne)))
| ~ spl0_3
| ~ spl0_5 ),
inference(forward_demodulation,[],[f11719,f24]) ).
tff(f11719,plain,
( ( 640 = $sum(190,d(cologne,kiel)) )
| $less(640,$sum(190,d(kiel,cologne)))
| ~ spl0_3
| ~ spl0_5 ),
inference(forward_demodulation,[],[f11664,f24]) ).
tff(f11664,plain,
( $less(640,$sum(190,d(cologne,kiel)))
| ( 640 = $sum(190,d(cologne,kiel)) )
| ~ spl0_3
| ~ spl0_5 ),
inference(resolution,[],[f1965,f500]) ).
tff(f500,plain,
( ! [X1: city] : ~ $less($sum(190,d(cologne,X1)),d(X1,saarbruecken))
| ~ spl0_3 ),
inference(superposition,[],[f171,f24]) ).
tff(f11718,plain,
( spl0_286
| spl0_287
| ~ spl0_5
| ~ spl0_7 ),
inference(avatar_split_clause,[],[f11663,f66,f56,f11713,f11709]) ).
tff(f11709,plain,
( spl0_286
<=> $less(640,$sum(160,d(kiel,frankfurt))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_286])]) ).
tff(f11713,plain,
( spl0_287
<=> ( 640 = $sum(160,d(kiel,frankfurt)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_287])]) ).
tff(f66,plain,
( spl0_7
<=> ( d(saarbruecken,frankfurt) = 160 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).
tff(f11663,plain,
( ( 640 = $sum(160,d(kiel,frankfurt)) )
| $less(640,$sum(160,d(kiel,frankfurt)))
| ~ spl0_5
| ~ spl0_7 ),
inference(resolution,[],[f1965,f2810]) ).
tff(f2810,plain,
( ! [X1: city] : ~ $less($sum(160,d(X1,frankfurt)),d(X1,saarbruecken))
| ~ spl0_7 ),
inference(superposition,[],[f521,f24]) ).
tff(f521,plain,
( ! [X1: city] : ~ $less($sum(160,d(X1,frankfurt)),d(saarbruecken,X1))
| ~ spl0_7 ),
inference(superposition,[],[f172,f24]) ).
tff(f172,plain,
( ! [X17: city] : ~ $less($sum(160,d(frankfurt,X17)),d(saarbruecken,X17))
| ~ spl0_7 ),
inference(superposition,[],[f30,f68]) ).
tff(f68,plain,
( ( d(saarbruecken,frankfurt) = 160 )
| ~ spl0_7 ),
inference(avatar_component_clause,[],[f66]) ).
tff(f11717,plain,
( spl0_282
| spl0_283
| ~ spl0_5
| ~ spl0_10 ),
inference(avatar_split_clause,[],[f11680,f81,f56,f11691,f11687]) ).
tff(f11687,plain,
( spl0_282
<=> ( 640 = $sum(d(kiel,munich),360) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_282])]) ).
tff(f11691,plain,
( spl0_283
<=> $less(640,$sum(d(kiel,munich),360)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_283])]) ).
tff(f81,plain,
( spl0_10
<=> ( 360 = d(munich,saarbruecken) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).
tff(f11680,plain,
( $less(640,$sum(d(kiel,munich),360))
| ( 640 = $sum(d(kiel,munich),360) )
| ~ spl0_5
| ~ spl0_10 ),
inference(resolution,[],[f1965,f189]) ).
tff(f189,plain,
( ! [X19: city] : ~ $less($sum(d(X19,munich),360),d(X19,saarbruecken))
| ~ spl0_10 ),
inference(superposition,[],[f30,f83]) ).
tff(f83,plain,
( ( 360 = d(munich,saarbruecken) )
| ~ spl0_10 ),
inference(avatar_component_clause,[],[f81]) ).
tff(f11716,plain,
( spl0_286
| spl0_287
| ~ spl0_5
| ~ spl0_7 ),
inference(avatar_split_clause,[],[f11707,f66,f56,f11713,f11709]) ).
tff(f11707,plain,
( ( 640 = $sum(160,d(kiel,frankfurt)) )
| $less(640,$sum(160,d(kiel,frankfurt)))
| ~ spl0_5
| ~ spl0_7 ),
inference(forward_demodulation,[],[f11706,f24]) ).
tff(f11706,plain,
( $less(640,$sum(160,d(kiel,frankfurt)))
| ( 640 = $sum(160,d(frankfurt,kiel)) )
| ~ spl0_5
| ~ spl0_7 ),
inference(forward_demodulation,[],[f11662,f24]) ).
tff(f11662,plain,
( $less(640,$sum(160,d(frankfurt,kiel)))
| ( 640 = $sum(160,d(frankfurt,kiel)) )
| ~ spl0_5
| ~ spl0_7 ),
inference(resolution,[],[f1965,f526]) ).
tff(f526,plain,
( ! [X0: city] : ~ $less($sum(160,d(frankfurt,X0)),d(X0,saarbruecken))
| ~ spl0_7 ),
inference(superposition,[],[f172,f24]) ).
tff(f11705,plain,
( spl0_284
| spl0_285
| ~ spl0_5
| ~ spl0_14 ),
inference(avatar_split_clause,[],[f11696,f121,f56,f11702,f11698]) ).
tff(f11696,plain,
( ( 640 = $sum(d(kiel,cologne),190) )
| $less(640,$sum(d(kiel,cologne),190))
| ~ spl0_5
| ~ spl0_14 ),
inference(forward_demodulation,[],[f11695,f24]) ).
tff(f11695,plain,
( $less(640,$sum(d(kiel,cologne),190))
| ( 640 = $sum(d(cologne,kiel),190) )
| ~ spl0_5
| ~ spl0_14 ),
inference(forward_demodulation,[],[f11679,f24]) ).
tff(f11679,plain,
( $less(640,$sum(d(cologne,kiel),190))
| ( 640 = $sum(d(cologne,kiel),190) )
| ~ spl0_5
| ~ spl0_14 ),
inference(resolution,[],[f1965,f1381]) ).
tff(f1381,plain,
( ! [X17: city] : ~ $less($sum(d(cologne,X17),190),d(X17,saarbruecken))
| ~ spl0_14 ),
inference(superposition,[],[f162,f123]) ).
tff(f11694,plain,
( spl0_282
| spl0_283
| ~ spl0_5
| ~ spl0_10 ),
inference(avatar_split_clause,[],[f11685,f81,f56,f11691,f11687]) ).
tff(f11685,plain,
( $less(640,$sum(d(kiel,munich),360))
| ( 640 = $sum(d(kiel,munich),360) )
| ~ spl0_5
| ~ spl0_10 ),
inference(forward_demodulation,[],[f11684,f24]) ).
tff(f11684,plain,
( $less(640,$sum(d(kiel,munich),360))
| ( 640 = $sum(d(munich,kiel),360) )
| ~ spl0_5
| ~ spl0_10 ),
inference(forward_demodulation,[],[f11681,f24]) ).
tff(f11681,plain,
( $less(640,$sum(d(munich,kiel),360))
| ( 640 = $sum(d(munich,kiel),360) )
| ~ spl0_5
| ~ spl0_10 ),
inference(resolution,[],[f1965,f940]) ).
tff(f940,plain,
( ! [X1: city] : ~ $less($sum(d(munich,X1),360),d(X1,saarbruecken))
| ~ spl0_10 ),
inference(superposition,[],[f189,f24]) ).
tff(f11002,plain,
( spl0_281
| spl0_280
| spl0_245 ),
inference(avatar_split_clause,[],[f10992,f8865,f10994,f10998]) ).
tff(f10998,plain,
( spl0_281
<=> $less(450,$sum(190,d(kiel,saarbruecken))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_281])]) ).
tff(f10994,plain,
( spl0_280
<=> ( $sum(190,d(kiel,saarbruecken)) = 450 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_280])]) ).
tff(f8865,plain,
( spl0_245
<=> $less($sum(190,d(kiel,saarbruecken)),450) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_245])]) ).
tff(f10992,plain,
( ( $sum(190,d(kiel,saarbruecken)) = 450 )
| $less(450,$sum(190,d(kiel,saarbruecken)))
| spl0_245 ),
inference(resolution,[],[f8867,f11]) ).
tff(f8867,plain,
( ~ $less($sum(190,d(kiel,saarbruecken)),450)
| spl0_245 ),
inference(avatar_component_clause,[],[f8865]) ).
tff(f11001,plain,
( spl0_280
| spl0_281
| spl0_245 ),
inference(avatar_split_clause,[],[f10991,f8865,f10998,f10994]) ).
tff(f10991,plain,
( $less(450,$sum(190,d(kiel,saarbruecken)))
| ( $sum(190,d(kiel,saarbruecken)) = 450 )
| spl0_245 ),
inference(resolution,[],[f8867,f11]) ).
tff(f10963,plain,
( spl0_279
| spl0_278
| spl0_241 ),
inference(avatar_split_clause,[],[f10953,f8823,f10955,f10959]) ).
tff(f10959,plain,
( spl0_279
<=> $less(150,$sum(450,d(kiel,frankfurt))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_279])]) ).
tff(f10955,plain,
( spl0_278
<=> ( 150 = $sum(450,d(kiel,frankfurt)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_278])]) ).
tff(f8823,plain,
( spl0_241
<=> $less($sum(450,d(kiel,frankfurt)),150) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_241])]) ).
tff(f10953,plain,
( ( 150 = $sum(450,d(kiel,frankfurt)) )
| $less(150,$sum(450,d(kiel,frankfurt)))
| spl0_241 ),
inference(resolution,[],[f8825,f11]) ).
tff(f8825,plain,
( ~ $less($sum(450,d(kiel,frankfurt)),150)
| spl0_241 ),
inference(avatar_component_clause,[],[f8823]) ).
tff(f10962,plain,
( spl0_278
| spl0_279
| spl0_241 ),
inference(avatar_split_clause,[],[f10952,f8823,f10959,f10955]) ).
tff(f10952,plain,
( $less(150,$sum(450,d(kiel,frankfurt)))
| ( 150 = $sum(450,d(kiel,frankfurt)) )
| spl0_241 ),
inference(resolution,[],[f8825,f11]) ).
tff(f10949,plain,
( spl0_277
| spl0_276
| spl0_240 ),
inference(avatar_split_clause,[],[f10939,f8818,f10941,f10945]) ).
tff(f10945,plain,
( spl0_277
<=> $less(450,$sum(150,d(kiel,frankfurt))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_277])]) ).
tff(f10941,plain,
( spl0_276
<=> ( 450 = $sum(150,d(kiel,frankfurt)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_276])]) ).
tff(f8818,plain,
( spl0_240
<=> $less($sum(150,d(kiel,frankfurt)),450) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_240])]) ).
tff(f10939,plain,
( ( 450 = $sum(150,d(kiel,frankfurt)) )
| $less(450,$sum(150,d(kiel,frankfurt)))
| spl0_240 ),
inference(resolution,[],[f8820,f11]) ).
tff(f8820,plain,
( ~ $less($sum(150,d(kiel,frankfurt)),450)
| spl0_240 ),
inference(avatar_component_clause,[],[f8818]) ).
tff(f10948,plain,
( spl0_276
| spl0_277
| spl0_240 ),
inference(avatar_split_clause,[],[f10938,f8818,f10945,f10941]) ).
tff(f10938,plain,
( $less(450,$sum(150,d(kiel,frankfurt)))
| ( 450 = $sum(150,d(kiel,frankfurt)) )
| spl0_240 ),
inference(resolution,[],[f8820,f11]) ).
tff(f10914,plain,
( spl0_275
| spl0_274
| spl0_238 ),
inference(avatar_split_clause,[],[f10903,f8798,f10906,f10910]) ).
tff(f10910,plain,
( spl0_275
<=> $less(190,$sum(450,d(kiel,saarbruecken))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_275])]) ).
tff(f10906,plain,
( spl0_274
<=> ( 190 = $sum(450,d(kiel,saarbruecken)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_274])]) ).
tff(f8798,plain,
( spl0_238
<=> $less($sum(450,d(kiel,saarbruecken)),190) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_238])]) ).
tff(f10903,plain,
( ( 190 = $sum(450,d(kiel,saarbruecken)) )
| $less(190,$sum(450,d(kiel,saarbruecken)))
| spl0_238 ),
inference(resolution,[],[f8800,f11]) ).
tff(f8800,plain,
( ~ $less($sum(450,d(kiel,saarbruecken)),190)
| spl0_238 ),
inference(avatar_component_clause,[],[f8798]) ).
tff(f10913,plain,
( spl0_274
| spl0_275
| spl0_238 ),
inference(avatar_split_clause,[],[f10904,f8798,f10910,f10906]) ).
tff(f10904,plain,
( $less(190,$sum(450,d(kiel,saarbruecken)))
| ( 190 = $sum(450,d(kiel,saarbruecken)) )
| spl0_238 ),
inference(resolution,[],[f8800,f11]) ).
tff(f10900,plain,
( spl0_273
| spl0_272
| spl0_234 ),
inference(avatar_split_clause,[],[f10889,f8766,f10892,f10896]) ).
tff(f10896,plain,
( spl0_273
<=> ( 150 = $sum(d(kiel,frankfurt),450) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_273])]) ).
tff(f10892,plain,
( spl0_272
<=> $less(150,$sum(d(kiel,frankfurt),450)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_272])]) ).
tff(f8766,plain,
( spl0_234
<=> $less($sum(d(kiel,frankfurt),450),150) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_234])]) ).
tff(f10889,plain,
( $less(150,$sum(d(kiel,frankfurt),450))
| ( 150 = $sum(d(kiel,frankfurt),450) )
| spl0_234 ),
inference(resolution,[],[f8768,f11]) ).
tff(f8768,plain,
( ~ $less($sum(d(kiel,frankfurt),450),150)
| spl0_234 ),
inference(avatar_component_clause,[],[f8766]) ).
tff(f10899,plain,
( spl0_272
| spl0_273
| spl0_234 ),
inference(avatar_split_clause,[],[f10890,f8766,f10896,f10892]) ).
tff(f10890,plain,
( ( 150 = $sum(d(kiel,frankfurt),450) )
| $less(150,$sum(d(kiel,frankfurt),450))
| spl0_234 ),
inference(resolution,[],[f8768,f11]) ).
tff(f10735,plain,
( spl0_271
| spl0_270
| spl0_230 ),
inference(avatar_split_clause,[],[f10725,f8729,f10727,f10731]) ).
tff(f10731,plain,
( spl0_271
<=> ( $sum(d(kiel,frankfurt),150) = 450 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_271])]) ).
tff(f10727,plain,
( spl0_270
<=> $less(450,$sum(d(kiel,frankfurt),150)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_270])]) ).
tff(f8729,plain,
( spl0_230
<=> $less($sum(d(kiel,frankfurt),150),450) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_230])]) ).
tff(f10725,plain,
( $less(450,$sum(d(kiel,frankfurt),150))
| ( $sum(d(kiel,frankfurt),150) = 450 )
| spl0_230 ),
inference(resolution,[],[f8731,f11]) ).
tff(f8731,plain,
( ~ $less($sum(d(kiel,frankfurt),150),450)
| spl0_230 ),
inference(avatar_component_clause,[],[f8729]) ).
tff(f10734,plain,
( spl0_270
| spl0_271
| spl0_230 ),
inference(avatar_split_clause,[],[f10724,f8729,f10731,f10727]) ).
tff(f10724,plain,
( ( $sum(d(kiel,frankfurt),150) = 450 )
| $less(450,$sum(d(kiel,frankfurt),150))
| spl0_230 ),
inference(resolution,[],[f8731,f11]) ).
tff(f10568,plain,
( spl0_268
| spl0_269
| spl0_222 ),
inference(avatar_split_clause,[],[f10557,f7645,f10564,f10560]) ).
tff(f10560,plain,
( spl0_268
<=> $less(360,$sum(450,d(hamburg,munich))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_268])]) ).
tff(f10564,plain,
( spl0_269
<=> ( 360 = $sum(450,d(hamburg,munich)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_269])]) ).
tff(f7645,plain,
( spl0_222
<=> $less($sum(450,d(hamburg,munich)),360) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_222])]) ).
tff(f10557,plain,
( ( 360 = $sum(450,d(hamburg,munich)) )
| $less(360,$sum(450,d(hamburg,munich)))
| spl0_222 ),
inference(resolution,[],[f7647,f11]) ).
tff(f7647,plain,
( ~ $less($sum(450,d(hamburg,munich)),360)
| spl0_222 ),
inference(avatar_component_clause,[],[f7645]) ).
tff(f10567,plain,
( spl0_268
| spl0_269
| spl0_222 ),
inference(avatar_split_clause,[],[f10558,f7645,f10564,f10560]) ).
tff(f10558,plain,
( ( 360 = $sum(450,d(hamburg,munich)) )
| $less(360,$sum(450,d(hamburg,munich)))
| spl0_222 ),
inference(resolution,[],[f7647,f11]) ).
tff(f10505,plain,
( spl0_267
| spl0_266
| spl0_221 ),
inference(avatar_split_clause,[],[f10494,f7631,f10497,f10501]) ).
tff(f10501,plain,
( spl0_267
<=> ( 450 = $sum(d(hamburg,munich),360) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_267])]) ).
tff(f10497,plain,
( spl0_266
<=> $less(450,$sum(d(hamburg,munich),360)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_266])]) ).
tff(f7631,plain,
( spl0_221
<=> $less($sum(d(hamburg,munich),360),450) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_221])]) ).
tff(f10494,plain,
( $less(450,$sum(d(hamburg,munich),360))
| ( 450 = $sum(d(hamburg,munich),360) )
| spl0_221 ),
inference(resolution,[],[f7633,f11]) ).
tff(f7633,plain,
( ~ $less($sum(d(hamburg,munich),360),450)
| spl0_221 ),
inference(avatar_component_clause,[],[f7631]) ).
tff(f10504,plain,
( spl0_266
| spl0_267
| spl0_221 ),
inference(avatar_split_clause,[],[f10495,f7631,f10501,f10497]) ).
tff(f10495,plain,
( ( 450 = $sum(d(hamburg,munich),360) )
| $less(450,$sum(d(hamburg,munich),360))
| spl0_221 ),
inference(resolution,[],[f7633,f11]) ).
tff(f10493,plain,
( spl0_264
| spl0_265
| spl0_218 ),
inference(avatar_split_clause,[],[f10483,f7608,f10489,f10485]) ).
tff(f10485,plain,
( spl0_264
<=> $less(360,$sum(d(hamburg,munich),450)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_264])]) ).
tff(f10489,plain,
( spl0_265
<=> ( 360 = $sum(d(hamburg,munich),450) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_265])]) ).
tff(f7608,plain,
( spl0_218
<=> $less($sum(d(hamburg,munich),450),360) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_218])]) ).
tff(f10483,plain,
( ( 360 = $sum(d(hamburg,munich),450) )
| $less(360,$sum(d(hamburg,munich),450))
| spl0_218 ),
inference(resolution,[],[f7610,f11]) ).
tff(f7610,plain,
( ~ $less($sum(d(hamburg,munich),450),360)
| spl0_218 ),
inference(avatar_component_clause,[],[f7608]) ).
tff(f10492,plain,
( spl0_264
| spl0_265
| spl0_218 ),
inference(avatar_split_clause,[],[f10482,f7608,f10489,f10485]) ).
tff(f10482,plain,
( ( 360 = $sum(d(hamburg,munich),450) )
| $less(360,$sum(d(hamburg,munich),450))
| spl0_218 ),
inference(resolution,[],[f7610,f11]) ).
tff(f10481,plain,
( spl0_262
| spl0_263
| spl0_217 ),
inference(avatar_split_clause,[],[f10470,f7596,f10477,f10473]) ).
tff(f10473,plain,
( spl0_262
<=> ( 450 = $sum(360,d(hamburg,munich)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_262])]) ).
tff(f10477,plain,
( spl0_263
<=> $less(450,$sum(360,d(hamburg,munich))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_263])]) ).
tff(f7596,plain,
( spl0_217
<=> $less($sum(360,d(hamburg,munich)),450) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_217])]) ).
tff(f10470,plain,
( $less(450,$sum(360,d(hamburg,munich)))
| ( 450 = $sum(360,d(hamburg,munich)) )
| spl0_217 ),
inference(resolution,[],[f7598,f11]) ).
tff(f7598,plain,
( ~ $less($sum(360,d(hamburg,munich)),450)
| spl0_217 ),
inference(avatar_component_clause,[],[f7596]) ).
tff(f10480,plain,
( spl0_262
| spl0_263
| spl0_217 ),
inference(avatar_split_clause,[],[f10471,f7596,f10477,f10473]) ).
tff(f10471,plain,
( $less(450,$sum(360,d(hamburg,munich)))
| ( 450 = $sum(360,d(hamburg,munich)) )
| spl0_217 ),
inference(resolution,[],[f7598,f11]) ).
tff(f10281,plain,
( spl0_261
| spl0_260
| spl0_216 ),
inference(avatar_split_clause,[],[f10270,f7418,f10273,f10277]) ).
tff(f10277,plain,
( spl0_261
<=> $less(550,$sum(360,d(hamburg,munich))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_261])]) ).
tff(f10273,plain,
( spl0_260
<=> ( $sum(360,d(hamburg,munich)) = 550 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_260])]) ).
tff(f7418,plain,
( spl0_216
<=> $less($sum(360,d(hamburg,munich)),550) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_216])]) ).
tff(f10270,plain,
( ( $sum(360,d(hamburg,munich)) = 550 )
| $less(550,$sum(360,d(hamburg,munich)))
| spl0_216 ),
inference(resolution,[],[f7420,f11]) ).
tff(f7420,plain,
( ~ $less($sum(360,d(hamburg,munich)),550)
| spl0_216 ),
inference(avatar_component_clause,[],[f7418]) ).
tff(f10280,plain,
( spl0_260
| spl0_261
| spl0_216 ),
inference(avatar_split_clause,[],[f10271,f7418,f10277,f10273]) ).
tff(f10271,plain,
( $less(550,$sum(360,d(hamburg,munich)))
| ( $sum(360,d(hamburg,munich)) = 550 )
| spl0_216 ),
inference(resolution,[],[f7420,f11]) ).
tff(f10267,plain,
( spl0_258
| spl0_259
| spl0_214 ),
inference(avatar_split_clause,[],[f10257,f7396,f10263,f10259]) ).
tff(f10259,plain,
( spl0_258
<=> ( 360 = $sum(550,d(hamburg,munich)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_258])]) ).
tff(f10263,plain,
( spl0_259
<=> $less(360,$sum(550,d(hamburg,munich))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_259])]) ).
tff(f7396,plain,
( spl0_214
<=> $less($sum(550,d(hamburg,munich)),360) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_214])]) ).
tff(f10257,plain,
( $less(360,$sum(550,d(hamburg,munich)))
| ( 360 = $sum(550,d(hamburg,munich)) )
| spl0_214 ),
inference(resolution,[],[f7398,f11]) ).
tff(f7398,plain,
( ~ $less($sum(550,d(hamburg,munich)),360)
| spl0_214 ),
inference(avatar_component_clause,[],[f7396]) ).
tff(f10266,plain,
( spl0_258
| spl0_259
| spl0_214 ),
inference(avatar_split_clause,[],[f10256,f7396,f10263,f10259]) ).
tff(f10256,plain,
( $less(360,$sum(550,d(hamburg,munich)))
| ( 360 = $sum(550,d(hamburg,munich)) )
| spl0_214 ),
inference(resolution,[],[f7398,f11]) ).
tff(f10172,plain,
( spl0_257
| spl0_256
| spl0_211 ),
inference(avatar_split_clause,[],[f10161,f7358,f10164,f10168]) ).
tff(f10168,plain,
( spl0_257
<=> $less(550,$sum(d(hamburg,munich),360)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_257])]) ).
tff(f10164,plain,
( spl0_256
<=> ( $sum(d(hamburg,munich),360) = 550 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_256])]) ).
tff(f7358,plain,
( spl0_211
<=> $less($sum(d(hamburg,munich),360),550) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_211])]) ).
tff(f10161,plain,
( ( $sum(d(hamburg,munich),360) = 550 )
| $less(550,$sum(d(hamburg,munich),360))
| spl0_211 ),
inference(resolution,[],[f7360,f11]) ).
tff(f7360,plain,
( ~ $less($sum(d(hamburg,munich),360),550)
| spl0_211 ),
inference(avatar_component_clause,[],[f7358]) ).
tff(f10171,plain,
( spl0_256
| spl0_257
| spl0_211 ),
inference(avatar_split_clause,[],[f10162,f7358,f10168,f10164]) ).
tff(f10162,plain,
( $less(550,$sum(d(hamburg,munich),360))
| ( $sum(d(hamburg,munich),360) = 550 )
| spl0_211 ),
inference(resolution,[],[f7360,f11]) ).
tff(f10057,plain,
( spl0_255
| spl0_254
| spl0_209 ),
inference(avatar_split_clause,[],[f10046,f7347,f10049,f10053]) ).
tff(f10053,plain,
( spl0_255
<=> ( 360 = $sum(d(hamburg,munich),550) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_255])]) ).
tff(f10049,plain,
( spl0_254
<=> $less(360,$sum(d(hamburg,munich),550)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_254])]) ).
tff(f7347,plain,
( spl0_209
<=> $less($sum(d(hamburg,munich),550),360) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_209])]) ).
tff(f10046,plain,
( $less(360,$sum(d(hamburg,munich),550))
| ( 360 = $sum(d(hamburg,munich),550) )
| spl0_209 ),
inference(resolution,[],[f7349,f11]) ).
tff(f7349,plain,
( ~ $less($sum(d(hamburg,munich),550),360)
| spl0_209 ),
inference(avatar_component_clause,[],[f7347]) ).
tff(f10056,plain,
( spl0_254
| spl0_255
| spl0_209 ),
inference(avatar_split_clause,[],[f10047,f7347,f10053,f10049]) ).
tff(f10047,plain,
( ( 360 = $sum(d(hamburg,munich),550) )
| $less(360,$sum(d(hamburg,munich),550))
| spl0_209 ),
inference(resolution,[],[f7349,f11]) ).
tff(f10045,plain,
( spl0_253
| spl0_252
| spl0_208 ),
inference(avatar_split_clause,[],[f10034,f7340,f10037,f10041]) ).
tff(f10041,plain,
( spl0_253
<=> ( $sum(d(kiel,saarbruecken),90) = 550 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_253])]) ).
tff(f10037,plain,
( spl0_252
<=> $less(550,$sum(d(kiel,saarbruecken),90)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_252])]) ).
tff(f7340,plain,
( spl0_208
<=> $less($sum(d(kiel,saarbruecken),90),550) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_208])]) ).
tff(f10034,plain,
( $less(550,$sum(d(kiel,saarbruecken),90))
| ( $sum(d(kiel,saarbruecken),90) = 550 )
| spl0_208 ),
inference(resolution,[],[f7342,f11]) ).
tff(f7342,plain,
( ~ $less($sum(d(kiel,saarbruecken),90),550)
| spl0_208 ),
inference(avatar_component_clause,[],[f7340]) ).
tff(f10044,plain,
( spl0_252
| spl0_253
| spl0_208 ),
inference(avatar_split_clause,[],[f10035,f7340,f10041,f10037]) ).
tff(f10035,plain,
( ( $sum(d(kiel,saarbruecken),90) = 550 )
| $less(550,$sum(d(kiel,saarbruecken),90))
| spl0_208 ),
inference(resolution,[],[f7342,f11]) ).
tff(f9814,plain,
( spl0_251
| spl0_250
| spl0_202 ),
inference(avatar_split_clause,[],[f9804,f7296,f9806,f9810]) ).
tff(f9810,plain,
( spl0_251
<=> $less(90,$sum(550,d(kiel,saarbruecken))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_251])]) ).
tff(f9806,plain,
( spl0_250
<=> ( 90 = $sum(550,d(kiel,saarbruecken)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_250])]) ).
tff(f7296,plain,
( spl0_202
<=> $less($sum(550,d(kiel,saarbruecken)),90) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_202])]) ).
tff(f9804,plain,
( ( 90 = $sum(550,d(kiel,saarbruecken)) )
| $less(90,$sum(550,d(kiel,saarbruecken)))
| spl0_202 ),
inference(resolution,[],[f7298,f11]) ).
tff(f7298,plain,
( ~ $less($sum(550,d(kiel,saarbruecken)),90)
| spl0_202 ),
inference(avatar_component_clause,[],[f7296]) ).
tff(f9813,plain,
( spl0_250
| spl0_251
| spl0_202 ),
inference(avatar_split_clause,[],[f9803,f7296,f9810,f9806]) ).
tff(f9803,plain,
( $less(90,$sum(550,d(kiel,saarbruecken)))
| ( 90 = $sum(550,d(kiel,saarbruecken)) )
| spl0_202 ),
inference(resolution,[],[f7298,f11]) ).
tff(f9802,plain,
( spl0_248
| spl0_249
| spl0_201 ),
inference(avatar_split_clause,[],[f9792,f7284,f9798,f9794]) ).
tff(f9794,plain,
( spl0_248
<=> ( 90 = $sum(d(kiel,saarbruecken),550) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_248])]) ).
tff(f9798,plain,
( spl0_249
<=> $less(90,$sum(d(kiel,saarbruecken),550)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_249])]) ).
tff(f7284,plain,
( spl0_201
<=> $less($sum(d(kiel,saarbruecken),550),90) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_201])]) ).
tff(f9792,plain,
( $less(90,$sum(d(kiel,saarbruecken),550))
| ( 90 = $sum(d(kiel,saarbruecken),550) )
| spl0_201 ),
inference(resolution,[],[f7286,f11]) ).
tff(f7286,plain,
( ~ $less($sum(d(kiel,saarbruecken),550),90)
| spl0_201 ),
inference(avatar_component_clause,[],[f7284]) ).
tff(f9801,plain,
( spl0_248
| spl0_249
| spl0_201 ),
inference(avatar_split_clause,[],[f9791,f7284,f9798,f9794]) ).
tff(f9791,plain,
( $less(90,$sum(d(kiel,saarbruecken),550))
| ( 90 = $sum(d(kiel,saarbruecken),550) )
| spl0_201 ),
inference(resolution,[],[f7286,f11]) ).
tff(f8880,plain,
( ~ spl0_5
| ~ spl0_3
| ~ spl0_225 ),
inference(avatar_split_clause,[],[f8879,f8228,f46,f56]) ).
tff(f8228,plain,
( spl0_225
<=> ( 450 = d(kiel,cologne) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_225])]) ).
tff(f8879,plain,
( ~ $less(640,d(kiel,saarbruecken))
| ~ spl0_3
| ~ spl0_225 ),
inference(forward_demodulation,[],[f8684,f24]) ).
tff(f8684,plain,
( ~ $less(640,d(saarbruecken,kiel))
| ~ spl0_3
| ~ spl0_225 ),
inference(evaluation,[],[f8615]) ).
tff(f8615,plain,
( ~ $less($sum(190,450),d(saarbruecken,kiel))
| ~ spl0_3
| ~ spl0_225 ),
inference(superposition,[],[f493,f8230]) ).
tff(f8230,plain,
( ( 450 = d(kiel,cologne) )
| ~ spl0_225 ),
inference(avatar_component_clause,[],[f8228]) ).
tff(f8878,plain,
( spl0_246
| spl0_247
| ~ spl0_2
| ~ spl0_225 ),
inference(avatar_split_clause,[],[f8635,f8228,f41,f8875,f8871]) ).
tff(f8871,plain,
( spl0_246
<=> ( 450 = $sum(d(kiel,berlin),480) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_246])]) ).
tff(f8875,plain,
( spl0_247
<=> $less(450,$sum(d(kiel,berlin),480)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_247])]) ).
tff(f41,plain,
( spl0_2
<=> ( d(berlin,cologne) = 480 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).
tff(f8635,plain,
( $less(450,$sum(d(kiel,berlin),480))
| ( 450 = $sum(d(kiel,berlin),480) )
| ~ spl0_2
| ~ spl0_225 ),
inference(superposition,[],[f1657,f8230]) ).
tff(f1657,plain,
( ! [X47: city] :
( $less(d(X47,cologne),$sum(d(X47,berlin),480))
| ( d(X47,cologne) = $sum(d(X47,berlin),480) ) )
| ~ spl0_2 ),
inference(resolution,[],[f11,f182]) ).
tff(f182,plain,
( ! [X12: city] : ~ $less($sum(d(X12,berlin),480),d(X12,cologne))
| ~ spl0_2 ),
inference(superposition,[],[f30,f43]) ).
tff(f43,plain,
( ( d(berlin,cologne) = 480 )
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f41]) ).
tff(f8869,plain,
( ~ spl0_242
| ~ spl0_4
| ~ spl0_225 ),
inference(avatar_split_clause,[],[f8685,f8228,f51,f8847]) ).
tff(f8847,plain,
( spl0_242
<=> $less(600,d(kiel,frankfurt)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_242])]) ).
tff(f51,plain,
( spl0_4
<=> ( d(cologne,frankfurt) = 150 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).
tff(f8685,plain,
( ~ $less(600,d(kiel,frankfurt))
| ~ spl0_4
| ~ spl0_225 ),
inference(evaluation,[],[f8606]) ).
tff(f8606,plain,
( ~ $less($sum(450,150),d(kiel,frankfurt))
| ~ spl0_4
| ~ spl0_225 ),
inference(superposition,[],[f185,f8230]) ).
tff(f185,plain,
( ! [X15: city] : ~ $less($sum(d(X15,cologne),150),d(X15,frankfurt))
| ~ spl0_4 ),
inference(superposition,[],[f30,f53]) ).
tff(f53,plain,
( ( d(cologne,frankfurt) = 150 )
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f51]) ).
tff(f8868,plain,
( ~ spl0_245
| ~ spl0_14
| ~ spl0_225 ),
inference(avatar_split_clause,[],[f8863,f8228,f121,f8865]) ).
tff(f8863,plain,
( ~ $less($sum(190,d(kiel,saarbruecken)),450)
| ~ spl0_14
| ~ spl0_225 ),
inference(forward_demodulation,[],[f8628,f24]) ).
tff(f8628,plain,
( ~ $less($sum(190,d(saarbruecken,kiel)),450)
| ~ spl0_14
| ~ spl0_225 ),
inference(superposition,[],[f1481,f8230]) ).
tff(f1481,plain,
( ! [X17: city] : ~ $less($sum(190,d(saarbruecken,X17)),d(X17,cologne))
| ~ spl0_14 ),
inference(superposition,[],[f191,f123]) ).
tff(f8862,plain,
( ~ spl0_239
| ~ spl0_2
| ~ spl0_225 ),
inference(avatar_split_clause,[],[f8686,f8228,f41,f8804]) ).
tff(f8804,plain,
( spl0_239
<=> $less(930,d(kiel,berlin)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_239])]) ).
tff(f8686,plain,
( ~ $less(930,d(kiel,berlin))
| ~ spl0_2
| ~ spl0_225 ),
inference(evaluation,[],[f8626]) ).
tff(f8626,plain,
( ~ $less($sum(450,480),d(kiel,berlin))
| ~ spl0_2
| ~ spl0_225 ),
inference(superposition,[],[f1437,f8230]) ).
tff(f1437,plain,
( ! [X13: city] : ~ $less($sum(d(X13,cologne),480),d(X13,berlin))
| ~ spl0_2 ),
inference(superposition,[],[f176,f43]) ).
tff(f8861,plain,
( spl0_243
| spl0_244
| ~ spl0_2
| ~ spl0_225 ),
inference(avatar_split_clause,[],[f8852,f8228,f41,f8858,f8854]) ).
tff(f8854,plain,
( spl0_243
<=> ( 480 = $sum(d(kiel,berlin),450) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_243])]) ).
tff(f8858,plain,
( spl0_244
<=> $less(480,$sum(d(kiel,berlin),450)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_244])]) ).
tff(f8852,plain,
( $less(480,$sum(d(kiel,berlin),450))
| ( 480 = $sum(d(kiel,berlin),450) )
| ~ spl0_2
| ~ spl0_225 ),
inference(forward_demodulation,[],[f8851,f24]) ).
tff(f8851,plain,
( $less(480,$sum(d(berlin,kiel),450))
| ( 480 = $sum(d(kiel,berlin),450) )
| ~ spl0_2
| ~ spl0_225 ),
inference(forward_demodulation,[],[f8631,f24]) ).
tff(f8631,plain,
( ( 480 = $sum(d(berlin,kiel),450) )
| $less(480,$sum(d(berlin,kiel),450))
| ~ spl0_2
| ~ spl0_225 ),
inference(superposition,[],[f1553,f8230]) ).
tff(f1553,plain,
( ! [X33: city] :
( $less(480,$sum(d(berlin,X33),d(X33,cologne)))
| ( 480 = $sum(d(berlin,X33),d(X33,cologne)) ) )
| ~ spl0_2 ),
inference(resolution,[],[f11,f197]) ).
tff(f197,plain,
( ! [X12: city] : ~ $less($sum(d(berlin,X12),d(X12,cologne)),480)
| ~ spl0_2 ),
inference(superposition,[],[f30,f43]) ).
tff(f8850,plain,
( ~ spl0_242
| ~ spl0_4
| ~ spl0_225 ),
inference(avatar_split_clause,[],[f8845,f8228,f51,f8847]) ).
tff(f8845,plain,
( ~ $less(600,d(kiel,frankfurt))
| ~ spl0_4
| ~ spl0_225 ),
inference(forward_demodulation,[],[f8687,f24]) ).
tff(f8687,plain,
( ~ $less(600,d(frankfurt,kiel))
| ~ spl0_4
| ~ spl0_225 ),
inference(evaluation,[],[f8618]) ).
tff(f8618,plain,
( ~ $less($sum(450,150),d(frankfurt,kiel))
| ~ spl0_4
| ~ spl0_225 ),
inference(superposition,[],[f798,f8230]) ).
tff(f798,plain,
( ! [X0: city] : ~ $less($sum(d(X0,cologne),150),d(frankfurt,X0))
| ~ spl0_4 ),
inference(superposition,[],[f185,f24]) ).
tff(f8835,plain,
( ~ spl0_235
| ~ spl0_3
| ~ spl0_225 ),
inference(avatar_split_clause,[],[f8607,f8228,f46,f8782]) ).
tff(f8782,plain,
( spl0_235
<=> $less($sum(d(kiel,saarbruecken),190),450) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_235])]) ).
tff(f8607,plain,
( ~ $less($sum(d(kiel,saarbruecken),190),450)
| ~ spl0_3
| ~ spl0_225 ),
inference(superposition,[],[f186,f8230]) ).
tff(f186,plain,
( ! [X16: city] : ~ $less($sum(d(X16,saarbruecken),190),d(X16,cologne))
| ~ spl0_3 ),
inference(superposition,[],[f30,f48]) ).
tff(f8832,plain,
( ~ spl0_226
| ~ spl0_3
| ~ spl0_225 ),
inference(avatar_split_clause,[],[f8831,f8228,f46,f8701]) ).
tff(f8701,plain,
( spl0_226
<=> $less($sum(d(kiel,saarbruecken),450),190) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_226])]) ).
tff(f8831,plain,
( ~ $less($sum(d(kiel,saarbruecken),450),190)
| ~ spl0_3
| ~ spl0_225 ),
inference(forward_demodulation,[],[f8610,f24]) ).
tff(f8610,plain,
( ~ $less($sum(d(saarbruecken,kiel),450),190)
| ~ spl0_3
| ~ spl0_225 ),
inference(superposition,[],[f201,f8230]) ).
tff(f201,plain,
( ! [X16: city] : ~ $less($sum(d(saarbruecken,X16),d(X16,cologne)),190)
| ~ spl0_3 ),
inference(superposition,[],[f30,f48]) ).
tff(f8828,plain,
( ~ spl0_5
| ~ spl0_14
| ~ spl0_225 ),
inference(avatar_split_clause,[],[f8827,f8228,f121,f56]) ).
tff(f8827,plain,
( ~ $less(640,d(kiel,saarbruecken))
| ~ spl0_14
| ~ spl0_225 ),
inference(forward_demodulation,[],[f8688,f24]) ).
tff(f8688,plain,
( ~ $less(640,d(saarbruecken,kiel))
| ~ spl0_14
| ~ spl0_225 ),
inference(evaluation,[],[f8629]) ).
tff(f8629,plain,
( ~ $less($sum(450,190),d(saarbruecken,kiel))
| ~ spl0_14
| ~ spl0_225 ),
inference(superposition,[],[f1501,f8230]) ).
tff(f1501,plain,
( ! [X17: city] : ~ $less($sum(d(X17,cologne),190),d(saarbruecken,X17))
| ~ spl0_14 ),
inference(superposition,[],[f191,f123]) ).
tff(f8826,plain,
( ~ spl0_241
| ~ spl0_4
| ~ spl0_225 ),
inference(avatar_split_clause,[],[f8622,f8228,f51,f8823]) ).
tff(f8622,plain,
( ~ $less($sum(450,d(kiel,frankfurt)),150)
| ~ spl0_4
| ~ spl0_225 ),
inference(superposition,[],[f1220,f8230]) ).
tff(f1220,plain,
( ! [X1: city] : ~ $less($sum(d(X1,cologne),d(X1,frankfurt)),150)
| ~ spl0_4 ),
inference(superposition,[],[f200,f24]) ).
tff(f200,plain,
( ! [X15: city] : ~ $less($sum(d(cologne,X15),d(X15,frankfurt)),150)
| ~ spl0_4 ),
inference(superposition,[],[f30,f53]) ).
tff(f8821,plain,
( ~ spl0_240
| ~ spl0_4
| ~ spl0_225 ),
inference(avatar_split_clause,[],[f8816,f8228,f51,f8818]) ).
tff(f8816,plain,
( ~ $less($sum(150,d(kiel,frankfurt)),450)
| ~ spl0_4
| ~ spl0_225 ),
inference(forward_demodulation,[],[f8614,f24]) ).
tff(f8614,plain,
( ~ $less($sum(150,d(frankfurt,kiel)),450)
| ~ spl0_4
| ~ spl0_225 ),
inference(superposition,[],[f474,f8230]) ).
tff(f474,plain,
( ! [X0: city] : ~ $less($sum(150,d(frankfurt,X0)),d(X0,cologne))
| ~ spl0_4 ),
inference(superposition,[],[f170,f24]) ).
tff(f170,plain,
( ! [X15: city] : ~ $less($sum(150,d(frankfurt,X15)),d(cologne,X15))
| ~ spl0_4 ),
inference(superposition,[],[f30,f53]) ).
tff(f8811,plain,
( ~ spl0_5
| ~ spl0_14
| ~ spl0_225 ),
inference(avatar_split_clause,[],[f8691,f8228,f121,f56]) ).
tff(f8691,plain,
( ~ $less(640,d(kiel,saarbruecken))
| ~ spl0_14
| ~ spl0_225 ),
inference(evaluation,[],[f8611]) ).
tff(f8611,plain,
( ~ $less($sum(450,190),d(kiel,saarbruecken))
| ~ spl0_14
| ~ spl0_225 ),
inference(superposition,[],[f206,f8230]) ).
tff(f8807,plain,
( ~ spl0_239
| ~ spl0_2
| ~ spl0_225 ),
inference(avatar_split_clause,[],[f8802,f8228,f41,f8804]) ).
tff(f8802,plain,
( ~ $less(930,d(kiel,berlin))
| ~ spl0_2
| ~ spl0_225 ),
inference(forward_demodulation,[],[f8692,f24]) ).
tff(f8692,plain,
( ~ $less(930,d(berlin,kiel))
| ~ spl0_2
| ~ spl0_225 ),
inference(evaluation,[],[f8613]) ).
tff(f8613,plain,
( ~ $less($sum(480,450),d(berlin,kiel))
| ~ spl0_2
| ~ spl0_225 ),
inference(superposition,[],[f381,f8230]) ).
tff(f381,plain,
( ! [X1: city] : ~ $less($sum(480,d(X1,cologne)),d(berlin,X1))
| ~ spl0_2 ),
inference(superposition,[],[f167,f24]) ).
tff(f167,plain,
( ! [X12: city] : ~ $less($sum(480,d(cologne,X12)),d(berlin,X12))
| ~ spl0_2 ),
inference(superposition,[],[f30,f43]) ).
tff(f8801,plain,
( ~ spl0_238
| ~ spl0_14
| ~ spl0_225 ),
inference(avatar_split_clause,[],[f8624,f8228,f121,f8798]) ).
tff(f8624,plain,
( ~ $less($sum(450,d(kiel,saarbruecken)),190)
| ~ spl0_14
| ~ spl0_225 ),
inference(superposition,[],[f1401,f8230]) ).
tff(f1401,plain,
( ! [X17: city] : ~ $less($sum(d(X17,cologne),d(X17,saarbruecken)),190)
| ~ spl0_14 ),
inference(superposition,[],[f162,f123]) ).
tff(f8794,plain,
( spl0_236
| spl0_237
| ~ spl0_4
| ~ spl0_225 ),
inference(avatar_split_clause,[],[f8694,f8228,f51,f8791,f8787]) ).
tff(f8787,plain,
( spl0_236
<=> ( d(kiel,frankfurt) = 600 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_236])]) ).
tff(f8791,plain,
( spl0_237
<=> $less(d(kiel,frankfurt),600) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_237])]) ).
tff(f8694,plain,
( $less(d(kiel,frankfurt),600)
| ( d(kiel,frankfurt) = 600 )
| ~ spl0_4
| ~ spl0_225 ),
inference(evaluation,[],[f8633]) ).
tff(f8633,plain,
( ( d(kiel,frankfurt) = $sum(450,150) )
| $less(d(kiel,frankfurt),$sum(450,150))
| ~ spl0_4
| ~ spl0_225 ),
inference(superposition,[],[f1594,f8230]) ).
tff(f1594,plain,
( ! [X54: city] :
( $less(d(X54,frankfurt),$sum(d(X54,cologne),150))
| ( $sum(d(X54,cologne),150) = d(X54,frankfurt) ) )
| ~ spl0_4 ),
inference(resolution,[],[f11,f185]) ).
tff(f8785,plain,
( ~ spl0_235
| ~ spl0_3
| ~ spl0_225 ),
inference(avatar_split_clause,[],[f8780,f8228,f46,f8782]) ).
tff(f8780,plain,
( ~ $less($sum(d(kiel,saarbruecken),190),450)
| ~ spl0_3
| ~ spl0_225 ),
inference(forward_demodulation,[],[f8619,f24]) ).
tff(f8619,plain,
( ~ $less($sum(d(saarbruecken,kiel),190),450)
| ~ spl0_3
| ~ spl0_225 ),
inference(superposition,[],[f828,f8230]) ).
tff(f828,plain,
( ! [X0: city] : ~ $less($sum(d(saarbruecken,X0),190),d(X0,cologne))
| ~ spl0_3 ),
inference(superposition,[],[f186,f24]) ).
tff(f8769,plain,
( ~ spl0_234
| ~ spl0_4
| ~ spl0_225 ),
inference(avatar_split_clause,[],[f8764,f8228,f51,f8766]) ).
tff(f8764,plain,
( ~ $less($sum(d(kiel,frankfurt),450),150)
| ~ spl0_4
| ~ spl0_225 ),
inference(forward_demodulation,[],[f8630,f24]) ).
tff(f8630,plain,
( ~ $less($sum(d(frankfurt,kiel),450),150)
| ~ spl0_4
| ~ spl0_225 ),
inference(superposition,[],[f1520,f8230]) ).
tff(f1520,plain,
( ! [X16: city] : ~ $less($sum(d(frankfurt,X16),d(X16,cologne)),150)
| ~ spl0_4 ),
inference(superposition,[],[f191,f53]) ).
tff(f8756,plain,
( ~ spl0_231
| ~ spl0_2
| ~ spl0_225 ),
inference(avatar_split_clause,[],[f8621,f8228,f41,f8737]) ).
tff(f8737,plain,
( spl0_231
<=> $less($sum(d(kiel,berlin),450),480) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_231])]) ).
tff(f8621,plain,
( ~ $less($sum(d(kiel,berlin),450),480)
| ~ spl0_2
| ~ spl0_225 ),
inference(superposition,[],[f1151,f8230]) ).
tff(f1151,plain,
( ! [X0: city] : ~ $less($sum(d(X0,berlin),d(X0,cologne)),480)
| ~ spl0_2 ),
inference(superposition,[],[f197,f24]) ).
tff(f8750,plain,
( ~ spl0_227
| ~ spl0_2
| ~ spl0_225 ),
inference(avatar_split_clause,[],[f8605,f8228,f41,f8707]) ).
tff(f8707,plain,
( spl0_227
<=> $less($sum(d(kiel,berlin),480),450) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_227])]) ).
tff(f8605,plain,
( ~ $less($sum(d(kiel,berlin),480),450)
| ~ spl0_2
| ~ spl0_225 ),
inference(superposition,[],[f182,f8230]) ).
tff(f8749,plain,
( spl0_232
| spl0_233
| ~ spl0_3
| ~ spl0_225 ),
inference(avatar_split_clause,[],[f8636,f8228,f46,f8746,f8742]) ).
tff(f8742,plain,
( spl0_232
<=> ( $sum(d(kiel,saarbruecken),190) = 450 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_232])]) ).
tff(f8746,plain,
( spl0_233
<=> $less(450,$sum(d(kiel,saarbruecken),190)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_233])]) ).
tff(f8636,plain,
( $less(450,$sum(d(kiel,saarbruecken),190))
| ( $sum(d(kiel,saarbruecken),190) = 450 )
| ~ spl0_3
| ~ spl0_225 ),
inference(superposition,[],[f1664,f8230]) ).
tff(f1664,plain,
( ! [X50: city] :
( $less(d(X50,cologne),$sum(d(X50,saarbruecken),190))
| ( d(X50,cologne) = $sum(d(X50,saarbruecken),190) ) )
| ~ spl0_3 ),
inference(resolution,[],[f11,f186]) ).
tff(f8740,plain,
( ~ spl0_231
| ~ spl0_2
| ~ spl0_225 ),
inference(avatar_split_clause,[],[f8735,f8228,f41,f8737]) ).
tff(f8735,plain,
( ~ $less($sum(d(kiel,berlin),450),480)
| ~ spl0_2
| ~ spl0_225 ),
inference(forward_demodulation,[],[f8609,f24]) ).
tff(f8609,plain,
( ~ $less($sum(d(berlin,kiel),450),480)
| ~ spl0_2
| ~ spl0_225 ),
inference(superposition,[],[f197,f8230]) ).
tff(f8732,plain,
( ~ spl0_230
| ~ spl0_4
| ~ spl0_225 ),
inference(avatar_split_clause,[],[f8627,f8228,f51,f8729]) ).
tff(f8627,plain,
( ~ $less($sum(d(kiel,frankfurt),150),450)
| ~ spl0_4
| ~ spl0_225 ),
inference(superposition,[],[f1440,f8230]) ).
tff(f1440,plain,
( ! [X16: city] : ~ $less($sum(d(X16,frankfurt),150),d(X16,cologne))
| ~ spl0_4 ),
inference(superposition,[],[f176,f53]) ).
tff(f8725,plain,
( spl0_228
| spl0_229
| ~ spl0_3
| ~ spl0_225 ),
inference(avatar_split_clause,[],[f8716,f8228,f46,f8722,f8718]) ).
tff(f8718,plain,
( spl0_228
<=> ( 190 = $sum(d(kiel,saarbruecken),450) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_228])]) ).
tff(f8722,plain,
( spl0_229
<=> $less(190,$sum(d(kiel,saarbruecken),450)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_229])]) ).
tff(f8716,plain,
( $less(190,$sum(d(kiel,saarbruecken),450))
| ( 190 = $sum(d(kiel,saarbruecken),450) )
| ~ spl0_3
| ~ spl0_225 ),
inference(forward_demodulation,[],[f8715,f24]) ).
tff(f8715,plain,
( $less(190,$sum(d(saarbruecken,kiel),450))
| ( 190 = $sum(d(kiel,saarbruecken),450) )
| ~ spl0_3
| ~ spl0_225 ),
inference(forward_demodulation,[],[f8634,f24]) ).
tff(f8634,plain,
( ( 190 = $sum(d(saarbruecken,kiel),450) )
| $less(190,$sum(d(saarbruecken,kiel),450))
| ~ spl0_3
| ~ spl0_225 ),
inference(superposition,[],[f1638,f8230]) ).
tff(f1638,plain,
( ! [X36: city] :
( $less(190,$sum(d(saarbruecken,X36),d(X36,cologne)))
| ( 190 = $sum(d(saarbruecken,X36),d(X36,cologne)) ) )
| ~ spl0_3 ),
inference(resolution,[],[f11,f201]) ).
tff(f8710,plain,
( ~ spl0_227
| ~ spl0_2
| ~ spl0_225 ),
inference(avatar_split_clause,[],[f8705,f8228,f41,f8707]) ).
tff(f8705,plain,
( ~ $less($sum(d(kiel,berlin),480),450)
| ~ spl0_2
| ~ spl0_225 ),
inference(forward_demodulation,[],[f8617,f24]) ).
tff(f8617,plain,
( ~ $less($sum(d(berlin,kiel),480),450)
| ~ spl0_2
| ~ spl0_225 ),
inference(superposition,[],[f714,f8230]) ).
tff(f714,plain,
( ! [X0: city] : ~ $less($sum(d(berlin,X0),480),d(X0,cologne))
| ~ spl0_2 ),
inference(superposition,[],[f182,f24]) ).
tff(f8704,plain,
( ~ spl0_226
| ~ spl0_3
| ~ spl0_225 ),
inference(avatar_split_clause,[],[f8623,f8228,f46,f8701]) ).
tff(f8623,plain,
( ~ $less($sum(d(kiel,saarbruecken),450),190)
| ~ spl0_3
| ~ spl0_225 ),
inference(superposition,[],[f1245,f8230]) ).
tff(f1245,plain,
( ! [X1: city] : ~ $less($sum(d(X1,saarbruecken),d(X1,cologne)),190)
| ~ spl0_3 ),
inference(superposition,[],[f201,f24]) ).
tff(f8231,plain,
( spl0_224
| spl0_225
| ~ spl0_13
| ~ spl0_16 ),
inference(avatar_split_clause,[],[f8211,f131,f96,f8228,f8224]) ).
tff(f8224,plain,
( spl0_224
<=> $less(d(kiel,cologne),450) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_224])]) ).
tff(f96,plain,
( spl0_13
<=> ( d(hamburg,cologne) = 360 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_13])]) ).
tff(f8211,plain,
( ( 450 = d(kiel,cologne) )
| $less(d(kiel,cologne),450)
| ~ spl0_13
| ~ spl0_16 ),
inference(evaluation,[],[f8210]) ).
tff(f8210,plain,
( ( d(kiel,cologne) = $sum(90,360) )
| $less(d(kiel,cologne),$sum(90,360))
| ~ spl0_13
| ~ spl0_16 ),
inference(superposition,[],[f1668,f133]) ).
tff(f1668,plain,
( ! [X51: city] :
( $less(d(X51,cologne),$sum(d(X51,hamburg),360))
| ( $sum(d(X51,hamburg),360) = d(X51,cologne) ) )
| ~ spl0_13 ),
inference(resolution,[],[f11,f180]) ).
tff(f180,plain,
( ! [X10: city] : ~ $less($sum(d(X10,hamburg),360),d(X10,cologne))
| ~ spl0_13 ),
inference(superposition,[],[f30,f98]) ).
tff(f98,plain,
( ( d(hamburg,cologne) = 360 )
| ~ spl0_13 ),
inference(avatar_component_clause,[],[f96]) ).
tff(f7711,plain,
( ~ spl0_223
| ~ spl0_13
| ~ spl0_198 ),
inference(avatar_split_clause,[],[f7710,f7080,f96,f7689]) ).
tff(f7689,plain,
( spl0_223
<=> $less(810,d(hamburg,munich)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_223])]) ).
tff(f7080,plain,
( spl0_198
<=> ( 450 = d(cologne,munich) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_198])]) ).
tff(f7710,plain,
( ~ $less(810,d(hamburg,munich))
| ~ spl0_13
| ~ spl0_198 ),
inference(forward_demodulation,[],[f7551,f24]) ).
tff(f7551,plain,
( ~ $less(810,d(munich,hamburg))
| ~ spl0_13
| ~ spl0_198 ),
inference(evaluation,[],[f7469]) ).
tff(f7469,plain,
( ~ $less($sum(360,450),d(munich,hamburg))
| ~ spl0_13
| ~ spl0_198 ),
inference(superposition,[],[f319,f7082]) ).
tff(f7082,plain,
( ( 450 = d(cologne,munich) )
| ~ spl0_198 ),
inference(avatar_component_clause,[],[f7080]) ).
tff(f319,plain,
( ! [X0: city] : ~ $less($sum(360,d(cologne,X0)),d(X0,hamburg))
| ~ spl0_13 ),
inference(superposition,[],[f165,f24]) ).
tff(f165,plain,
( ! [X10: city] : ~ $less($sum(360,d(cologne,X10)),d(hamburg,X10))
| ~ spl0_13 ),
inference(superposition,[],[f30,f98]) ).
tff(f7692,plain,
( ~ spl0_223
| ~ spl0_13
| ~ spl0_198 ),
inference(avatar_split_clause,[],[f7557,f7080,f96,f7689]) ).
tff(f7557,plain,
( ~ $less(810,d(hamburg,munich))
| ~ spl0_13
| ~ spl0_198 ),
inference(evaluation,[],[f7462]) ).
tff(f7462,plain,
( ~ $less($sum(360,450),d(hamburg,munich))
| ~ spl0_13
| ~ spl0_198 ),
inference(superposition,[],[f165,f7082]) ).
tff(f7648,plain,
( ~ spl0_222
| ~ spl0_13
| ~ spl0_198 ),
inference(avatar_split_clause,[],[f7643,f7080,f96,f7645]) ).
tff(f7643,plain,
( ~ $less($sum(450,d(hamburg,munich)),360)
| ~ spl0_13
| ~ spl0_198 ),
inference(forward_demodulation,[],[f7487,f24]) ).
tff(f7487,plain,
( ~ $less($sum(450,d(munich,hamburg)),360)
| ~ spl0_13
| ~ spl0_198 ),
inference(superposition,[],[f1515,f7082]) ).
tff(f1515,plain,
( ! [X11: city] : ~ $less($sum(d(cologne,X11),d(X11,hamburg)),360)
| ~ spl0_13 ),
inference(superposition,[],[f191,f98]) ).
tff(f7634,plain,
( ~ spl0_221
| ~ spl0_13
| ~ spl0_198 ),
inference(avatar_split_clause,[],[f7629,f7080,f96,f7631]) ).
tff(f7629,plain,
( ~ $less($sum(d(hamburg,munich),360),450)
| ~ spl0_13
| ~ spl0_198 ),
inference(forward_demodulation,[],[f7473,f24]) ).
tff(f7473,plain,
( ~ $less($sum(d(munich,hamburg),360),450)
| ~ spl0_13
| ~ spl0_198 ),
inference(superposition,[],[f651,f7082]) ).
tff(f651,plain,
( ! [X1: city] : ~ $less($sum(d(X1,hamburg),360),d(cologne,X1))
| ~ spl0_13 ),
inference(superposition,[],[f180,f24]) ).
tff(f7620,plain,
( spl0_219
| spl0_220
| ~ spl0_13
| ~ spl0_198 ),
inference(avatar_split_clause,[],[f7567,f7080,f96,f7617,f7613]) ).
tff(f7613,plain,
( spl0_219
<=> $less(d(hamburg,munich),810) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_219])]) ).
tff(f7617,plain,
( spl0_220
<=> ( d(hamburg,munich) = 810 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_220])]) ).
tff(f7567,plain,
( ( d(hamburg,munich) = 810 )
| $less(d(hamburg,munich),810)
| ~ spl0_13
| ~ spl0_198 ),
inference(evaluation,[],[f7491]) ).
tff(f7491,plain,
( ( $sum(360,450) = d(hamburg,munich) )
| $less(d(hamburg,munich),$sum(360,450))
| ~ spl0_13
| ~ spl0_198 ),
inference(superposition,[],[f1619,f7082]) ).
tff(f1619,plain,
( ! [X18: city] :
( $less(d(hamburg,X18),$sum(360,d(cologne,X18)))
| ( d(hamburg,X18) = $sum(360,d(cologne,X18)) ) )
| ~ spl0_13 ),
inference(resolution,[],[f11,f165]) ).
tff(f7611,plain,
( ~ spl0_218
| ~ spl0_13
| ~ spl0_198 ),
inference(avatar_split_clause,[],[f7477,f7080,f96,f7608]) ).
tff(f7477,plain,
( ~ $less($sum(d(hamburg,munich),450),360)
| ~ spl0_13
| ~ spl0_198 ),
inference(superposition,[],[f1111,f7082]) ).
tff(f1111,plain,
( ! [X0: city] : ~ $less($sum(d(hamburg,X0),d(cologne,X0)),360)
| ~ spl0_13 ),
inference(superposition,[],[f195,f24]) ).
tff(f195,plain,
( ! [X10: city] : ~ $less($sum(d(hamburg,X10),d(X10,cologne)),360)
| ~ spl0_13 ),
inference(superposition,[],[f30,f98]) ).
tff(f7599,plain,
( ~ spl0_217
| ~ spl0_13
| ~ spl0_198 ),
inference(avatar_split_clause,[],[f7481,f7080,f96,f7596]) ).
tff(f7481,plain,
( ~ $less($sum(360,d(hamburg,munich)),450)
| ~ spl0_13
| ~ spl0_198 ),
inference(superposition,[],[f1355,f7082]) ).
tff(f1355,plain,
( ! [X11: city] : ~ $less($sum(360,d(hamburg,X11)),d(cologne,X11))
| ~ spl0_13 ),
inference(superposition,[],[f162,f98]) ).
tff(f7455,plain,
( spl0_194
| spl0_193
| ~ spl0_11
| ~ spl0_15 ),
inference(avatar_split_clause,[],[f6985,f126,f86,f6913,f6917]) ).
tff(f6917,plain,
( spl0_194
<=> ( d(hamburg,saarbruecken) = 550 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_194])]) ).
tff(f6913,plain,
( spl0_193
<=> $less(d(hamburg,saarbruecken),550) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_193])]) ).
tff(f86,plain,
( spl0_11
<=> ( d(hamburg,frankfurt) = 390 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_11])]) ).
tff(f6985,plain,
( $less(d(hamburg,saarbruecken),550)
| ( d(hamburg,saarbruecken) = 550 )
| ~ spl0_11
| ~ spl0_15 ),
inference(evaluation,[],[f6980]) ).
tff(f6980,plain,
( $less(d(hamburg,saarbruecken),$sum(390,160))
| ( $sum(390,160) = d(hamburg,saarbruecken) )
| ~ spl0_11
| ~ spl0_15 ),
inference(superposition,[],[f1620,f128]) ).
tff(f1620,plain,
( ! [X19: city] :
( $less(d(hamburg,X19),$sum(390,d(frankfurt,X19)))
| ( d(hamburg,X19) = $sum(390,d(frankfurt,X19)) ) )
| ~ spl0_11 ),
inference(resolution,[],[f11,f166]) ).
tff(f166,plain,
( ! [X11: city] : ~ $less($sum(390,d(frankfurt,X11)),d(hamburg,X11))
| ~ spl0_11 ),
inference(superposition,[],[f30,f88]) ).
tff(f88,plain,
( ( d(hamburg,frankfurt) = 390 )
| ~ spl0_11 ),
inference(avatar_component_clause,[],[f86]) ).
tff(f7454,plain,
( spl0_100
| spl0_101
| ~ spl0_2
| ~ spl0_3 ),
inference(avatar_split_clause,[],[f6567,f46,f41,f1907,f1903]) ).
tff(f1903,plain,
( spl0_100
<=> ( 480 = $sum(d(berlin,saarbruecken),190) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_100])]) ).
tff(f1907,plain,
( spl0_101
<=> $less(480,$sum(d(berlin,saarbruecken),190)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_101])]) ).
tff(f6567,plain,
( $less(480,$sum(d(berlin,saarbruecken),190))
| ( 480 = $sum(d(berlin,saarbruecken),190) )
| ~ spl0_2
| ~ spl0_3 ),
inference(superposition,[],[f1553,f48]) ).
tff(f7453,plain,
( ~ spl0_155
| ~ spl0_2
| ~ spl0_14 ),
inference(avatar_split_clause,[],[f5948,f121,f41,f5534]) ).
tff(f5534,plain,
( spl0_155
<=> $less($sum(190,d(berlin,saarbruecken)),480) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_155])]) ).
tff(f5948,plain,
( ~ $less($sum(190,d(berlin,saarbruecken)),480)
| ~ spl0_2
| ~ spl0_14 ),
inference(forward_demodulation,[],[f5938,f24]) ).
tff(f5938,plain,
( ~ $less($sum(190,d(saarbruecken,berlin)),480)
| ~ spl0_2
| ~ spl0_14 ),
inference(superposition,[],[f1517,f123]) ).
tff(f1517,plain,
( ! [X13: city] : ~ $less($sum(d(cologne,X13),d(X13,berlin)),480)
| ~ spl0_2 ),
inference(superposition,[],[f191,f43]) ).
tff(f7441,plain,
( ~ spl0_210
| ~ spl0_6
| ~ spl0_194 ),
inference(avatar_split_clause,[],[f7440,f6917,f61,f7353]) ).
tff(f7353,plain,
( spl0_210
<=> $less(800,d(berlin,saarbruecken)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_210])]) ).
tff(f61,plain,
( spl0_6
<=> ( d(hamburg,berlin) = 250 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).
tff(f7440,plain,
( ~ $less(800,d(berlin,saarbruecken))
| ~ spl0_6
| ~ spl0_194 ),
inference(forward_demodulation,[],[f7241,f24]) ).
tff(f7241,plain,
( ~ $less(800,d(saarbruecken,berlin))
| ~ spl0_6
| ~ spl0_194 ),
inference(evaluation,[],[f7159]) ).
tff(f7159,plain,
( ~ $less($sum(550,250),d(saarbruecken,berlin))
| ~ spl0_6
| ~ spl0_194 ),
inference(superposition,[],[f627,f6919]) ).
tff(f6919,plain,
( ( d(hamburg,saarbruecken) = 550 )
| ~ spl0_194 ),
inference(avatar_component_clause,[],[f6917]) ).
tff(f627,plain,
( ! [X0: city] : ~ $less($sum(d(hamburg,X0),250),d(X0,berlin))
| ~ spl0_6 ),
inference(superposition,[],[f179,f24]) ).
tff(f179,plain,
( ! [X9: city] : ~ $less($sum(d(X9,hamburg),250),d(X9,berlin))
| ~ spl0_6 ),
inference(superposition,[],[f30,f63]) ).
tff(f63,plain,
( ( d(hamburg,berlin) = 250 )
| ~ spl0_6 ),
inference(avatar_component_clause,[],[f61]) ).
tff(f7434,plain,
( ~ spl0_215
| ~ spl0_1
| ~ spl0_194 ),
inference(avatar_split_clause,[],[f7433,f6917,f36,f7402]) ).
tff(f7402,plain,
( spl0_215
<=> $less($sum(90,d(kiel,saarbruecken)),550) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_215])]) ).
tff(f7433,plain,
( ~ $less($sum(90,d(kiel,saarbruecken)),550)
| ~ spl0_1
| ~ spl0_194 ),
inference(forward_demodulation,[],[f7154,f24]) ).
tff(f7154,plain,
( ~ $less($sum(90,d(saarbruecken,kiel)),550)
| ~ spl0_1
| ~ spl0_194 ),
inference(superposition,[],[f242,f6919]) ).
tff(f242,plain,
( ! [X0: city] : ~ $less($sum(90,d(X0,kiel)),d(hamburg,X0))
| ~ spl0_1 ),
inference(superposition,[],[f163,f24]) ).
tff(f163,plain,
( ! [X8: city] : ~ $less($sum(90,d(kiel,X8)),d(hamburg,X8))
| ~ spl0_1 ),
inference(superposition,[],[f30,f38]) ).
tff(f7421,plain,
( ~ spl0_216
| ~ spl0_17
| ~ spl0_194 ),
inference(avatar_split_clause,[],[f7416,f6917,f136,f7418]) ).
tff(f7416,plain,
( ~ $less($sum(360,d(hamburg,munich)),550)
| ~ spl0_17
| ~ spl0_194 ),
inference(forward_demodulation,[],[f7204,f24]) ).
tff(f7204,plain,
( ~ $less($sum(360,d(munich,hamburg)),550)
| ~ spl0_17
| ~ spl0_194 ),
inference(superposition,[],[f1486,f6919]) ).
tff(f7415,plain,
( ~ spl0_209
| ~ spl0_10
| ~ spl0_194 ),
inference(avatar_split_clause,[],[f7414,f6917,f81,f7347]) ).
tff(f7414,plain,
( ~ $less($sum(d(hamburg,munich),550),360)
| ~ spl0_10
| ~ spl0_194 ),
inference(forward_demodulation,[],[f7182,f24]) ).
tff(f7182,plain,
( ~ $less($sum(d(munich,hamburg),550),360)
| ~ spl0_10
| ~ spl0_194 ),
inference(superposition,[],[f204,f6919]) ).
tff(f204,plain,
( ! [X19: city] : ~ $less($sum(d(munich,X19),d(X19,saarbruecken)),360)
| ~ spl0_10 ),
inference(superposition,[],[f30,f83]) ).
tff(f7410,plain,
( ~ spl0_203
| ~ spl0_6
| ~ spl0_194 ),
inference(avatar_split_clause,[],[f7163,f6917,f61,f7303]) ).
tff(f7303,plain,
( spl0_203
<=> $less($sum(550,d(berlin,saarbruecken)),250) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_203])]) ).
tff(f7163,plain,
( ~ $less($sum(550,d(berlin,saarbruecken)),250)
| ~ spl0_6
| ~ spl0_194 ),
inference(superposition,[],[f1092,f6919]) ).
tff(f1092,plain,
( ! [X0: city] : ~ $less($sum(d(hamburg,X0),d(berlin,X0)),250)
| ~ spl0_6 ),
inference(superposition,[],[f194,f24]) ).
tff(f194,plain,
( ! [X9: city] : ~ $less($sum(d(hamburg,X9),d(X9,berlin)),250)
| ~ spl0_6 ),
inference(superposition,[],[f30,f63]) ).
tff(f7408,plain,
( ~ spl0_202
| ~ spl0_1
| ~ spl0_194 ),
inference(avatar_split_clause,[],[f7162,f6917,f36,f7296]) ).
tff(f7162,plain,
( ~ $less($sum(550,d(kiel,saarbruecken)),90)
| ~ spl0_1
| ~ spl0_194 ),
inference(superposition,[],[f1072,f6919]) ).
tff(f1072,plain,
( ! [X0: city] : ~ $less($sum(d(hamburg,X0),d(kiel,X0)),90)
| ~ spl0_1 ),
inference(superposition,[],[f193,f24]) ).
tff(f193,plain,
( ! [X8: city] : ~ $less($sum(d(hamburg,X8),d(X8,kiel)),90)
| ~ spl0_1 ),
inference(superposition,[],[f30,f38]) ).
tff(f7407,plain,
( ~ spl0_207
| ~ spl0_6
| ~ spl0_194 ),
inference(avatar_split_clause,[],[f7406,f6917,f61,f7334]) ).
tff(f7334,plain,
( spl0_207
<=> $less($sum(250,d(berlin,saarbruecken)),550) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_207])]) ).
tff(f7406,plain,
( ~ $less($sum(250,d(berlin,saarbruecken)),550)
| ~ spl0_6
| ~ spl0_194 ),
inference(forward_demodulation,[],[f7155,f24]) ).
tff(f7155,plain,
( ~ $less($sum(250,d(saarbruecken,berlin)),550)
| ~ spl0_6
| ~ spl0_194 ),
inference(superposition,[],[f277,f6919]) ).
tff(f277,plain,
( ! [X0: city] : ~ $less($sum(250,d(X0,berlin)),d(hamburg,X0))
| ~ spl0_6 ),
inference(superposition,[],[f164,f24]) ).
tff(f164,plain,
( ! [X9: city] : ~ $less($sum(250,d(berlin,X9)),d(hamburg,X9))
| ~ spl0_6 ),
inference(superposition,[],[f30,f63]) ).
tff(f7405,plain,
( ~ spl0_215
| ~ spl0_1
| ~ spl0_194 ),
inference(avatar_split_clause,[],[f7145,f6917,f36,f7402]) ).
tff(f7145,plain,
( ~ $less($sum(90,d(kiel,saarbruecken)),550)
| ~ spl0_1
| ~ spl0_194 ),
inference(superposition,[],[f163,f6919]) ).
tff(f7400,plain,
( ~ spl0_206
| ~ spl0_17
| ~ spl0_194 ),
inference(avatar_split_clause,[],[f7245,f6917,f136,f7329]) ).
tff(f7329,plain,
( spl0_206
<=> $less(910,d(hamburg,munich)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_206])]) ).
tff(f7245,plain,
( ~ $less(910,d(hamburg,munich))
| ~ spl0_17
| ~ spl0_194 ),
inference(evaluation,[],[f7187]) ).
tff(f7187,plain,
( ~ $less($sum(550,360),d(hamburg,munich))
| ~ spl0_17
| ~ spl0_194 ),
inference(superposition,[],[f215,f6919]) ).
tff(f215,plain,
( ! [X1: city] : ~ $less($sum(d(X1,saarbruecken),360),d(X1,munich))
| ~ spl0_17 ),
inference(superposition,[],[f30,f138]) ).
tff(f7399,plain,
( ~ spl0_214
| ~ spl0_17
| ~ spl0_194 ),
inference(avatar_split_clause,[],[f7201,f6917,f136,f7396]) ).
tff(f7201,plain,
( ~ $less($sum(550,d(hamburg,munich)),360)
| ~ spl0_17
| ~ spl0_194 ),
inference(superposition,[],[f1406,f6919]) ).
tff(f1406,plain,
( ! [X22: city] : ~ $less($sum(d(X22,saarbruecken),d(X22,munich)),360)
| ~ spl0_17 ),
inference(superposition,[],[f162,f138]) ).
tff(f7384,plain,
( spl0_212
| spl0_213
| ~ spl0_1
| ~ spl0_194 ),
inference(avatar_split_clause,[],[f7172,f6917,f36,f7381,f7377]) ).
tff(f7377,plain,
( spl0_212
<=> ( $sum(90,d(kiel,saarbruecken)) = 550 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_212])]) ).
tff(f7381,plain,
( spl0_213
<=> $less(550,$sum(90,d(kiel,saarbruecken))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_213])]) ).
tff(f7172,plain,
( $less(550,$sum(90,d(kiel,saarbruecken)))
| ( $sum(90,d(kiel,saarbruecken)) = 550 )
| ~ spl0_1
| ~ spl0_194 ),
inference(superposition,[],[f1539,f6919]) ).
tff(f1539,plain,
( ! [X20: city] :
( $less(d(hamburg,X20),$sum(90,d(kiel,X20)))
| ( $sum(90,d(kiel,X20)) = d(hamburg,X20) ) )
| ~ spl0_1 ),
inference(resolution,[],[f11,f163]) ).
tff(f7369,plain,
( ~ spl0_5
| ~ spl0_1
| ~ spl0_194 ),
inference(avatar_split_clause,[],[f7368,f6917,f36,f56]) ).
tff(f7368,plain,
( ~ $less(640,d(kiel,saarbruecken))
| ~ spl0_1
| ~ spl0_194 ),
inference(forward_demodulation,[],[f7247,f24]) ).
tff(f7247,plain,
( ~ $less(640,d(saarbruecken,kiel))
| ~ spl0_1
| ~ spl0_194 ),
inference(evaluation,[],[f7158]) ).
tff(f7158,plain,
( ~ $less($sum(550,90),d(saarbruecken,kiel))
| ~ spl0_1
| ~ spl0_194 ),
inference(superposition,[],[f613,f6919]) ).
tff(f7367,plain,
( ~ spl0_206
| ~ spl0_10
| ~ spl0_194 ),
inference(avatar_split_clause,[],[f7366,f6917,f81,f7329]) ).
tff(f7366,plain,
( ~ $less(910,d(hamburg,munich))
| ~ spl0_10
| ~ spl0_194 ),
inference(forward_demodulation,[],[f7248,f24]) ).
tff(f7248,plain,
( ~ $less(910,d(munich,hamburg))
| ~ spl0_10
| ~ spl0_194 ),
inference(evaluation,[],[f7190]) ).
tff(f7190,plain,
( ~ $less($sum(360,550),d(munich,hamburg))
| ~ spl0_10
| ~ spl0_194 ),
inference(superposition,[],[f565,f6919]) ).
tff(f565,plain,
( ! [X0: city] : ~ $less($sum(360,d(X0,saarbruecken)),d(munich,X0))
| ~ spl0_10 ),
inference(superposition,[],[f174,f24]) ).
tff(f174,plain,
( ! [X19: city] : ~ $less($sum(360,d(saarbruecken,X19)),d(munich,X19))
| ~ spl0_10 ),
inference(superposition,[],[f30,f83]) ).
tff(f7365,plain,
( ~ spl0_211
| ~ spl0_10
| ~ spl0_194 ),
inference(avatar_split_clause,[],[f7364,f6917,f81,f7358]) ).
tff(f7364,plain,
( ~ $less($sum(d(hamburg,munich),360),550)
| ~ spl0_10
| ~ spl0_194 ),
inference(forward_demodulation,[],[f7193,f24]) ).
tff(f7193,plain,
( ~ $less($sum(d(munich,hamburg),360),550)
| ~ spl0_10
| ~ spl0_194 ),
inference(superposition,[],[f940,f6919]) ).
tff(f7361,plain,
( ~ spl0_211
| ~ spl0_10
| ~ spl0_194 ),
inference(avatar_split_clause,[],[f7181,f6917,f81,f7358]) ).
tff(f7181,plain,
( ~ $less($sum(d(hamburg,munich),360),550)
| ~ spl0_10
| ~ spl0_194 ),
inference(superposition,[],[f189,f6919]) ).
tff(f7356,plain,
( ~ spl0_210
| ~ spl0_6
| ~ spl0_194 ),
inference(avatar_split_clause,[],[f7250,f6917,f61,f7353]) ).
tff(f7250,plain,
( ~ $less(800,d(berlin,saarbruecken))
| ~ spl0_6
| ~ spl0_194 ),
inference(evaluation,[],[f7166]) ).
tff(f7166,plain,
( ~ $less($sum(250,550),d(berlin,saarbruecken))
| ~ spl0_6
| ~ spl0_194 ),
inference(superposition,[],[f1354,f6919]) ).
tff(f1354,plain,
( ! [X10: city] : ~ $less($sum(250,d(hamburg,X10)),d(berlin,X10))
| ~ spl0_6 ),
inference(superposition,[],[f162,f63]) ).
tff(f7350,plain,
( ~ spl0_209
| ~ spl0_10
| ~ spl0_194 ),
inference(avatar_split_clause,[],[f7196,f6917,f81,f7347]) ).
tff(f7196,plain,
( ~ $less($sum(d(hamburg,munich),550),360)
| ~ spl0_10
| ~ spl0_194 ),
inference(superposition,[],[f1327,f6919]) ).
tff(f1327,plain,
( ! [X1: city] : ~ $less($sum(d(X1,munich),d(X1,saarbruecken)),360)
| ~ spl0_10 ),
inference(superposition,[],[f204,f24]) ).
tff(f7343,plain,
( ~ spl0_208
| ~ spl0_16
| ~ spl0_194 ),
inference(avatar_split_clause,[],[f7338,f6917,f131,f7340]) ).
tff(f7338,plain,
( ~ $less($sum(d(kiel,saarbruecken),90),550)
| ~ spl0_16
| ~ spl0_194 ),
inference(forward_demodulation,[],[f7171,f24]) ).
tff(f7171,plain,
( ~ $less($sum(d(saarbruecken,kiel),90),550)
| ~ spl0_16
| ~ spl0_194 ),
inference(superposition,[],[f1492,f6919]) ).
tff(f1492,plain,
( ! [X8: city] : ~ $less($sum(d(X8,kiel),90),d(hamburg,X8))
| ~ spl0_16 ),
inference(superposition,[],[f191,f133]) ).
tff(f7337,plain,
( ~ spl0_207
| ~ spl0_6
| ~ spl0_194 ),
inference(avatar_split_clause,[],[f7146,f6917,f61,f7334]) ).
tff(f7146,plain,
( ~ $less($sum(250,d(berlin,saarbruecken)),550)
| ~ spl0_6
| ~ spl0_194 ),
inference(superposition,[],[f164,f6919]) ).
tff(f7332,plain,
( ~ spl0_206
| ~ spl0_17
| ~ spl0_194 ),
inference(avatar_split_clause,[],[f7327,f6917,f136,f7329]) ).
tff(f7327,plain,
( ~ $less(910,d(hamburg,munich))
| ~ spl0_17
| ~ spl0_194 ),
inference(forward_demodulation,[],[f7252,f24]) ).
tff(f7252,plain,
( ~ $less(910,d(munich,hamburg))
| ~ spl0_17
| ~ spl0_194 ),
inference(evaluation,[],[f7205]) ).
tff(f7205,plain,
( ~ $less($sum(550,360),d(munich,hamburg))
| ~ spl0_17
| ~ spl0_194 ),
inference(superposition,[],[f1506,f6919]) ).
tff(f1506,plain,
( ! [X22: city] : ~ $less($sum(d(X22,saarbruecken),360),d(munich,X22))
| ~ spl0_17 ),
inference(superposition,[],[f191,f138]) ).
tff(f7326,plain,
( spl0_204
| spl0_205
| ~ spl0_6
| ~ spl0_194 ),
inference(avatar_split_clause,[],[f7317,f6917,f61,f7323,f7319]) ).
tff(f7319,plain,
( spl0_204
<=> ( 250 = $sum(550,d(berlin,saarbruecken)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_204])]) ).
tff(f7323,plain,
( spl0_205
<=> $less(250,$sum(550,d(berlin,saarbruecken))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_205])]) ).
tff(f7317,plain,
( $less(250,$sum(550,d(berlin,saarbruecken)))
| ( 250 = $sum(550,d(berlin,saarbruecken)) )
| ~ spl0_6
| ~ spl0_194 ),
inference(forward_demodulation,[],[f7316,f24]) ).
tff(f7316,plain,
( $less(250,$sum(550,d(berlin,saarbruecken)))
| ( 250 = $sum(550,d(saarbruecken,berlin)) )
| ~ spl0_6
| ~ spl0_194 ),
inference(forward_demodulation,[],[f7175,f24]) ).
tff(f7175,plain,
( $less(250,$sum(550,d(saarbruecken,berlin)))
| ( 250 = $sum(550,d(saarbruecken,berlin)) )
| ~ spl0_6
| ~ spl0_194 ),
inference(superposition,[],[f1570,f6919]) ).
tff(f1570,plain,
( ! [X42: city] :
( $less(250,$sum(d(hamburg,X42),d(X42,berlin)))
| ( 250 = $sum(d(hamburg,X42),d(X42,berlin)) ) )
| ~ spl0_6 ),
inference(resolution,[],[f11,f194]) ).
tff(f7308,plain,
( ~ spl0_5
| ~ spl0_16
| ~ spl0_194 ),
inference(avatar_split_clause,[],[f7307,f6917,f131,f56]) ).
tff(f7307,plain,
( ~ $less(640,d(kiel,saarbruecken))
| ~ spl0_16
| ~ spl0_194 ),
inference(forward_demodulation,[],[f7253,f24]) ).
tff(f7253,plain,
( ~ $less(640,d(saarbruecken,kiel))
| ~ spl0_16
| ~ spl0_194 ),
inference(evaluation,[],[f7170]) ).
tff(f7170,plain,
( ~ $less($sum(90,550),d(saarbruecken,kiel))
| ~ spl0_16
| ~ spl0_194 ),
inference(superposition,[],[f1472,f6919]) ).
tff(f1472,plain,
( ! [X8: city] : ~ $less($sum(90,d(hamburg,X8)),d(X8,kiel))
| ~ spl0_16 ),
inference(superposition,[],[f191,f133]) ).
tff(f7306,plain,
( ~ spl0_203
| ~ spl0_6
| ~ spl0_194 ),
inference(avatar_split_clause,[],[f7301,f6917,f61,f7303]) ).
tff(f7301,plain,
( ~ $less($sum(550,d(berlin,saarbruecken)),250)
| ~ spl0_6
| ~ spl0_194 ),
inference(forward_demodulation,[],[f7150,f24]) ).
tff(f7150,plain,
( ~ $less($sum(550,d(saarbruecken,berlin)),250)
| ~ spl0_6
| ~ spl0_194 ),
inference(superposition,[],[f194,f6919]) ).
tff(f7299,plain,
( ~ spl0_202
| ~ spl0_1
| ~ spl0_194 ),
inference(avatar_split_clause,[],[f7294,f6917,f36,f7296]) ).
tff(f7294,plain,
( ~ $less($sum(550,d(kiel,saarbruecken)),90)
| ~ spl0_1
| ~ spl0_194 ),
inference(forward_demodulation,[],[f7149,f24]) ).
tff(f7149,plain,
( ~ $less($sum(550,d(saarbruecken,kiel)),90)
| ~ spl0_1
| ~ spl0_194 ),
inference(superposition,[],[f193,f6919]) ).
tff(f7287,plain,
( ~ spl0_201
| ~ spl0_16
| ~ spl0_194 ),
inference(avatar_split_clause,[],[f7169,f6917,f131,f7284]) ).
tff(f7169,plain,
( ~ $less($sum(d(kiel,saarbruecken),550),90)
| ~ spl0_16
| ~ spl0_194 ),
inference(superposition,[],[f1452,f6919]) ).
tff(f1452,plain,
( ! [X8: city] : ~ $less($sum(d(kiel,X8),d(hamburg,X8)),90)
| ~ spl0_16 ),
inference(superposition,[],[f176,f133]) ).
tff(f7282,plain,
( ~ spl0_5
| ~ spl0_16
| ~ spl0_194 ),
inference(avatar_split_clause,[],[f7255,f6917,f131,f56]) ).
tff(f7255,plain,
( ~ $less(640,d(kiel,saarbruecken))
| ~ spl0_16
| ~ spl0_194 ),
inference(evaluation,[],[f7153]) ).
tff(f7153,plain,
( ~ $less($sum(90,550),d(kiel,saarbruecken))
| ~ spl0_16
| ~ spl0_194 ),
inference(superposition,[],[f213,f6919]) ).
tff(f7269,plain,
( spl0_199
| spl0_200
| ~ spl0_6
| ~ spl0_194 ),
inference(avatar_split_clause,[],[f7178,f6917,f61,f7266,f7262]) ).
tff(f7262,plain,
( spl0_199
<=> ( $sum(250,d(berlin,saarbruecken)) = 550 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_199])]) ).
tff(f7266,plain,
( spl0_200
<=> $less(550,$sum(250,d(berlin,saarbruecken))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_200])]) ).
tff(f7178,plain,
( $less(550,$sum(250,d(berlin,saarbruecken)))
| ( $sum(250,d(berlin,saarbruecken)) = 550 )
| ~ spl0_6
| ~ spl0_194 ),
inference(superposition,[],[f1622,f6919]) ).
tff(f1622,plain,
( ! [X21: city] :
( $less(d(hamburg,X21),$sum(250,d(berlin,X21)))
| ( d(hamburg,X21) = $sum(250,d(berlin,X21)) ) )
| ~ spl0_6 ),
inference(resolution,[],[f11,f164]) ).
tff(f7083,plain,
( spl0_197
| spl0_198
| ~ spl0_4
| ~ spl0_18 ),
inference(avatar_split_clause,[],[f7065,f143,f51,f7080,f7076]) ).
tff(f7076,plain,
( spl0_197
<=> $less(d(cologne,munich),450) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_197])]) ).
tff(f143,plain,
( spl0_18
<=> ( 300 = d(frankfurt,munich) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_18])]) ).
tff(f7065,plain,
( ( 450 = d(cologne,munich) )
| $less(d(cologne,munich),450)
| ~ spl0_4
| ~ spl0_18 ),
inference(evaluation,[],[f7060]) ).
tff(f7060,plain,
( ( $sum(150,300) = d(cologne,munich) )
| $less(d(cologne,munich),$sum(150,300))
| ~ spl0_4
| ~ spl0_18 ),
inference(superposition,[],[f1626,f145]) ).
tff(f145,plain,
( ( 300 = d(frankfurt,munich) )
| ~ spl0_18 ),
inference(avatar_component_clause,[],[f143]) ).
tff(f1626,plain,
( ! [X25: city] :
( $less(d(cologne,X25),$sum(150,d(frankfurt,X25)))
| ( $sum(150,d(frankfurt,X25)) = d(cologne,X25) ) )
| ~ spl0_4 ),
inference(resolution,[],[f11,f170]) ).
tff(f7001,plain,
( spl0_195
| spl0_196
| ~ spl0_11
| ~ spl0_18 ),
inference(avatar_split_clause,[],[f6986,f143,f86,f6998,f6994]) ).
tff(f6994,plain,
( spl0_195
<=> ( d(hamburg,munich) = 690 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_195])]) ).
tff(f6998,plain,
( spl0_196
<=> $less(d(hamburg,munich),690) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_196])]) ).
tff(f6986,plain,
( $less(d(hamburg,munich),690)
| ( d(hamburg,munich) = 690 )
| ~ spl0_11
| ~ spl0_18 ),
inference(evaluation,[],[f6981]) ).
tff(f6981,plain,
( ( d(hamburg,munich) = $sum(390,300) )
| $less(d(hamburg,munich),$sum(390,300))
| ~ spl0_11
| ~ spl0_18 ),
inference(superposition,[],[f1620,f145]) ).
tff(f6920,plain,
( spl0_193
| spl0_194
| ~ spl0_13
| ~ spl0_14 ),
inference(avatar_split_clause,[],[f6907,f121,f96,f6917,f6913]) ).
tff(f6907,plain,
( ( d(hamburg,saarbruecken) = 550 )
| $less(d(hamburg,saarbruecken),550)
| ~ spl0_13
| ~ spl0_14 ),
inference(evaluation,[],[f6902]) ).
tff(f6902,plain,
( ( d(hamburg,saarbruecken) = $sum(360,190) )
| $less(d(hamburg,saarbruecken),$sum(360,190))
| ~ spl0_13
| ~ spl0_14 ),
inference(superposition,[],[f1619,f123]) ).
tff(f6867,plain,
( spl0_191
| spl0_192
| ~ spl0_6
| ~ spl0_16 ),
inference(avatar_split_clause,[],[f6857,f131,f61,f6864,f6860]) ).
tff(f6860,plain,
( spl0_191
<=> ( 340 = d(kiel,berlin) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_191])]) ).
tff(f6864,plain,
( spl0_192
<=> $less(d(kiel,berlin),340) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_192])]) ).
tff(f6857,plain,
( $less(d(kiel,berlin),340)
| ( 340 = d(kiel,berlin) )
| ~ spl0_6
| ~ spl0_16 ),
inference(evaluation,[],[f6856]) ).
tff(f6856,plain,
( ( d(kiel,berlin) = $sum(90,250) )
| $less(d(kiel,berlin),$sum(90,250))
| ~ spl0_6
| ~ spl0_16 ),
inference(superposition,[],[f1597,f133]) ).
tff(f1597,plain,
( ! [X56: city] :
( $less(d(X56,berlin),$sum(d(X56,hamburg),250))
| ( d(X56,berlin) = $sum(d(X56,hamburg),250) ) )
| ~ spl0_6 ),
inference(resolution,[],[f11,f179]) ).
tff(f6798,plain,
( spl0_189
| spl0_190
| ~ spl0_11
| ~ spl0_16 ),
inference(avatar_split_clause,[],[f6778,f131,f86,f6795,f6791]) ).
tff(f6791,plain,
( spl0_189
<=> ( 480 = d(kiel,frankfurt) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_189])]) ).
tff(f6795,plain,
( spl0_190
<=> $less(d(kiel,frankfurt),480) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_190])]) ).
tff(f6778,plain,
( $less(d(kiel,frankfurt),480)
| ( 480 = d(kiel,frankfurt) )
| ~ spl0_11
| ~ spl0_16 ),
inference(evaluation,[],[f6776]) ).
tff(f6776,plain,
( ( d(kiel,frankfurt) = $sum(90,390) )
| $less(d(kiel,frankfurt),$sum(90,390))
| ~ spl0_11
| ~ spl0_16 ),
inference(superposition,[],[f1591,f133]) ).
tff(f1591,plain,
( ! [X53: city] :
( $less(d(X53,frankfurt),$sum(d(X53,hamburg),390))
| ( $sum(d(X53,hamburg),390) = d(X53,frankfurt) ) )
| ~ spl0_11 ),
inference(resolution,[],[f11,f181]) ).
tff(f181,plain,
( ! [X11: city] : ~ $less($sum(d(X11,hamburg),390),d(X11,frankfurt))
| ~ spl0_11 ),
inference(superposition,[],[f30,f88]) ).
tff(f6757,plain,
( spl0_187
| spl0_188
| ~ spl0_6
| ~ spl0_12 ),
inference(avatar_split_clause,[],[f6743,f91,f61,f6754,f6750]) ).
tff(f6750,plain,
( spl0_187
<=> ( d(hamburg,munich) = 760 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_187])]) ).
tff(f6754,plain,
( spl0_188
<=> $less(d(hamburg,munich),760) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_188])]) ).
tff(f91,plain,
( spl0_12
<=> ( d(berlin,munich) = 510 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_12])]) ).
tff(f6743,plain,
( $less(d(hamburg,munich),760)
| ( d(hamburg,munich) = 760 )
| ~ spl0_6
| ~ spl0_12 ),
inference(evaluation,[],[f6742]) ).
tff(f6742,plain,
( ( d(hamburg,munich) = $sum(250,510) )
| $less(d(hamburg,munich),$sum(250,510))
| ~ spl0_6
| ~ spl0_12 ),
inference(superposition,[],[f1573,f63]) ).
tff(f1573,plain,
( ! [X46: city] :
( $less(d(X46,munich),$sum(d(X46,berlin),510))
| ( $sum(d(X46,berlin),510) = d(X46,munich) ) )
| ~ spl0_12 ),
inference(resolution,[],[f11,f184]) ).
tff(f184,plain,
( ! [X14: city] : ~ $less($sum(d(X14,berlin),510),d(X14,munich))
| ~ spl0_12 ),
inference(superposition,[],[f30,f93]) ).
tff(f93,plain,
( ( d(berlin,munich) = 510 )
| ~ spl0_12 ),
inference(avatar_component_clause,[],[f91]) ).
tff(f6660,plain,
( spl0_185
| spl0_186
| spl0_166 ),
inference(avatar_split_clause,[],[f6650,f5713,f6656,f6652]) ).
tff(f6652,plain,
( spl0_185
<=> ( 250 = $sum(d(kiel,berlin),90) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_185])]) ).
tff(f6656,plain,
( spl0_186
<=> $less(250,$sum(d(kiel,berlin),90)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_186])]) ).
tff(f5713,plain,
( spl0_166
<=> $less($sum(d(kiel,berlin),90),250) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_166])]) ).
tff(f6650,plain,
( $less(250,$sum(d(kiel,berlin),90))
| ( 250 = $sum(d(kiel,berlin),90) )
| spl0_166 ),
inference(resolution,[],[f5715,f11]) ).
tff(f5715,plain,
( ~ $less($sum(d(kiel,berlin),90),250)
| spl0_166 ),
inference(avatar_component_clause,[],[f5713]) ).
tff(f6659,plain,
( spl0_185
| spl0_186
| spl0_166 ),
inference(avatar_split_clause,[],[f6649,f5713,f6656,f6652]) ).
tff(f6649,plain,
( $less(250,$sum(d(kiel,berlin),90))
| ( 250 = $sum(d(kiel,berlin),90) )
| spl0_166 ),
inference(resolution,[],[f5715,f11]) ).
tff(f6388,plain,
( spl0_183
| spl0_184
| ~ spl0_10
| ~ spl0_12 ),
inference(avatar_split_clause,[],[f6366,f91,f81,f6385,f6381]) ).
tff(f6381,plain,
( spl0_183
<=> ( d(berlin,saarbruecken) = 870 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_183])]) ).
tff(f6385,plain,
( spl0_184
<=> $less(d(berlin,saarbruecken),870) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_184])]) ).
tff(f6366,plain,
( $less(d(berlin,saarbruecken),870)
| ( d(berlin,saarbruecken) = 870 )
| ~ spl0_10
| ~ spl0_12 ),
inference(evaluation,[],[f6362]) ).
tff(f6362,plain,
( ( d(berlin,saarbruecken) = $sum(510,360) )
| $less(d(berlin,saarbruecken),$sum(510,360))
| ~ spl0_10
| ~ spl0_12 ),
inference(superposition,[],[f1543,f83]) ).
tff(f1543,plain,
( ! [X24: city] :
( $less(d(berlin,X24),$sum(510,d(munich,X24)))
| ( d(berlin,X24) = $sum(510,d(munich,X24)) ) )
| ~ spl0_12 ),
inference(resolution,[],[f11,f169]) ).
tff(f169,plain,
( ! [X14: city] : ~ $less($sum(510,d(munich,X14)),d(berlin,X14))
| ~ spl0_12 ),
inference(superposition,[],[f30,f93]) ).
tff(f6341,plain,
( spl0_181
| spl0_182
| ~ spl0_8
| ~ spl0_15 ),
inference(avatar_split_clause,[],[f6330,f126,f71,f6338,f6334]) ).
tff(f6334,plain,
( spl0_181
<=> ( d(berlin,saarbruecken) = 580 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_181])]) ).
tff(f6338,plain,
( spl0_182
<=> $less(d(berlin,saarbruecken),580) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_182])]) ).
tff(f71,plain,
( spl0_8
<=> ( d(berlin,frankfurt) = 420 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).
tff(f6330,plain,
( $less(d(berlin,saarbruecken),580)
| ( d(berlin,saarbruecken) = 580 )
| ~ spl0_8
| ~ spl0_15 ),
inference(evaluation,[],[f6324]) ).
tff(f6324,plain,
( $less(d(berlin,saarbruecken),$sum(420,160))
| ( d(berlin,saarbruecken) = $sum(420,160) )
| ~ spl0_8
| ~ spl0_15 ),
inference(superposition,[],[f1542,f128]) ).
tff(f1542,plain,
( ! [X23: city] :
( $less(d(berlin,X23),$sum(420,d(frankfurt,X23)))
| ( d(berlin,X23) = $sum(420,d(frankfurt,X23)) ) )
| ~ spl0_8 ),
inference(resolution,[],[f11,f168]) ).
tff(f168,plain,
( ! [X13: city] : ~ $less($sum(420,d(frankfurt,X13)),d(berlin,X13))
| ~ spl0_8 ),
inference(superposition,[],[f30,f73]) ).
tff(f73,plain,
( ( d(berlin,frankfurt) = 420 )
| ~ spl0_8 ),
inference(avatar_component_clause,[],[f71]) ).
tff(f6311,plain,
( spl0_179
| spl0_180
| ~ spl0_2
| ~ spl0_14 ),
inference(avatar_split_clause,[],[f6295,f121,f41,f6308,f6304]) ).
tff(f6304,plain,
( spl0_179
<=> ( d(berlin,saarbruecken) = 670 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_179])]) ).
tff(f6308,plain,
( spl0_180
<=> $less(d(berlin,saarbruecken),670) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_180])]) ).
tff(f6295,plain,
( $less(d(berlin,saarbruecken),670)
| ( d(berlin,saarbruecken) = 670 )
| ~ spl0_2
| ~ spl0_14 ),
inference(evaluation,[],[f6291]) ).
tff(f6291,plain,
( ( d(berlin,saarbruecken) = $sum(480,190) )
| $less(d(berlin,saarbruecken),$sum(480,190))
| ~ spl0_2
| ~ spl0_14 ),
inference(superposition,[],[f1541,f123]) ).
tff(f1541,plain,
( ! [X22: city] :
( $less(d(berlin,X22),$sum(480,d(cologne,X22)))
| ( $sum(480,d(cologne,X22)) = d(berlin,X22) ) )
| ~ spl0_2 ),
inference(resolution,[],[f11,f167]) ).
tff(f6255,plain,
( spl0_177
| spl0_178
| spl0_165 ),
inference(avatar_split_clause,[],[f6244,f5707,f6251,f6247]) ).
tff(f6247,plain,
( spl0_177
<=> ( 360 = $sum(d(kiel,cologne),90) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_177])]) ).
tff(f6251,plain,
( spl0_178
<=> $less(360,$sum(d(kiel,cologne),90)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_178])]) ).
tff(f5707,plain,
( spl0_165
<=> $less($sum(d(kiel,cologne),90),360) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_165])]) ).
tff(f6244,plain,
( $less(360,$sum(d(kiel,cologne),90))
| ( 360 = $sum(d(kiel,cologne),90) )
| spl0_165 ),
inference(resolution,[],[f5709,f11]) ).
tff(f5709,plain,
( ~ $less($sum(d(kiel,cologne),90),360)
| spl0_165 ),
inference(avatar_component_clause,[],[f5707]) ).
tff(f6254,plain,
( spl0_177
| spl0_178
| spl0_165 ),
inference(avatar_split_clause,[],[f6245,f5707,f6251,f6247]) ).
tff(f6245,plain,
( $less(360,$sum(d(kiel,cologne),90))
| ( 360 = $sum(d(kiel,cologne),90) )
| spl0_165 ),
inference(resolution,[],[f5709,f11]) ).
tff(f6179,plain,
( spl0_176
| spl0_175
| spl0_164 ),
inference(avatar_split_clause,[],[f6169,f5698,f6171,f6175]) ).
tff(f6175,plain,
( spl0_176
<=> ( 390 = $sum(d(kiel,frankfurt),90) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_176])]) ).
tff(f6171,plain,
( spl0_175
<=> $less(390,$sum(d(kiel,frankfurt),90)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_175])]) ).
tff(f5698,plain,
( spl0_164
<=> $less($sum(d(kiel,frankfurt),90),390) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_164])]) ).
tff(f6169,plain,
( $less(390,$sum(d(kiel,frankfurt),90))
| ( 390 = $sum(d(kiel,frankfurt),90) )
| spl0_164 ),
inference(resolution,[],[f5700,f11]) ).
tff(f5700,plain,
( ~ $less($sum(d(kiel,frankfurt),90),390)
| spl0_164 ),
inference(avatar_component_clause,[],[f5698]) ).
tff(f6178,plain,
( spl0_175
| spl0_176
| spl0_164 ),
inference(avatar_split_clause,[],[f6168,f5698,f6175,f6171]) ).
tff(f6168,plain,
( ( 390 = $sum(d(kiel,frankfurt),90) )
| $less(390,$sum(d(kiel,frankfurt),90))
| spl0_164 ),
inference(resolution,[],[f5700,f11]) ).
tff(f6167,plain,
( spl0_173
| spl0_174
| spl0_163 ),
inference(avatar_split_clause,[],[f6157,f5647,f6163,f6159]) ).
tff(f6159,plain,
( spl0_173
<=> ( 150 = $sum(300,d(cologne,munich)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_173])]) ).
tff(f6163,plain,
( spl0_174
<=> $less(150,$sum(300,d(cologne,munich))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_174])]) ).
tff(f5647,plain,
( spl0_163
<=> $less($sum(300,d(cologne,munich)),150) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_163])]) ).
tff(f6157,plain,
( $less(150,$sum(300,d(cologne,munich)))
| ( 150 = $sum(300,d(cologne,munich)) )
| spl0_163 ),
inference(resolution,[],[f5649,f11]) ).
tff(f5649,plain,
( ~ $less($sum(300,d(cologne,munich)),150)
| spl0_163 ),
inference(avatar_component_clause,[],[f5647]) ).
tff(f6166,plain,
( spl0_173
| spl0_174
| spl0_163 ),
inference(avatar_split_clause,[],[f6156,f5647,f6163,f6159]) ).
tff(f6156,plain,
( $less(150,$sum(300,d(cologne,munich)))
| ( 150 = $sum(300,d(cologne,munich)) )
| spl0_163 ),
inference(resolution,[],[f5649,f11]) ).
tff(f6031,plain,
( spl0_171
| spl0_172
| spl0_162 ),
inference(avatar_split_clause,[],[f6021,f5634,f6027,f6023]) ).
tff(f6023,plain,
( spl0_171
<=> ( 390 = $sum(300,d(hamburg,munich)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_171])]) ).
tff(f6027,plain,
( spl0_172
<=> $less(390,$sum(300,d(hamburg,munich))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_172])]) ).
tff(f5634,plain,
( spl0_162
<=> $less($sum(300,d(hamburg,munich)),390) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_162])]) ).
tff(f6021,plain,
( $less(390,$sum(300,d(hamburg,munich)))
| ( 390 = $sum(300,d(hamburg,munich)) )
| spl0_162 ),
inference(resolution,[],[f5636,f11]) ).
tff(f5636,plain,
( ~ $less($sum(300,d(hamburg,munich)),390)
| spl0_162 ),
inference(avatar_component_clause,[],[f5634]) ).
tff(f6030,plain,
( spl0_171
| spl0_172
| spl0_162 ),
inference(avatar_split_clause,[],[f6020,f5634,f6027,f6023]) ).
tff(f6020,plain,
( $less(390,$sum(300,d(hamburg,munich)))
| ( 390 = $sum(300,d(hamburg,munich)) )
| spl0_162 ),
inference(resolution,[],[f5636,f11]) ).
tff(f5897,plain,
( spl0_170
| spl0_169
| spl0_159 ),
inference(avatar_split_clause,[],[f5887,f5584,f5889,f5893]) ).
tff(f5893,plain,
( spl0_170
<=> $less(420,$sum(160,d(berlin,saarbruecken))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_170])]) ).
tff(f5889,plain,
( spl0_169
<=> ( 420 = $sum(160,d(berlin,saarbruecken)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_169])]) ).
tff(f5584,plain,
( spl0_159
<=> $less($sum(160,d(berlin,saarbruecken)),420) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_159])]) ).
tff(f5887,plain,
( ( 420 = $sum(160,d(berlin,saarbruecken)) )
| $less(420,$sum(160,d(berlin,saarbruecken)))
| spl0_159 ),
inference(resolution,[],[f5586,f11]) ).
tff(f5586,plain,
( ~ $less($sum(160,d(berlin,saarbruecken)),420)
| spl0_159 ),
inference(avatar_component_clause,[],[f5584]) ).
tff(f5896,plain,
( spl0_169
| spl0_170
| spl0_159 ),
inference(avatar_split_clause,[],[f5886,f5584,f5893,f5889]) ).
tff(f5886,plain,
( $less(420,$sum(160,d(berlin,saarbruecken)))
| ( 420 = $sum(160,d(berlin,saarbruecken)) )
| spl0_159 ),
inference(resolution,[],[f5586,f11]) ).
tff(f5836,plain,
( spl0_168
| spl0_167
| spl0_158 ),
inference(avatar_split_clause,[],[f5826,f5574,f5828,f5832]) ).
tff(f5832,plain,
( spl0_168
<=> ( 390 = $sum(160,d(hamburg,saarbruecken)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_168])]) ).
tff(f5828,plain,
( spl0_167
<=> $less(390,$sum(160,d(hamburg,saarbruecken))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_167])]) ).
tff(f5574,plain,
( spl0_158
<=> $less($sum(160,d(hamburg,saarbruecken)),390) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_158])]) ).
tff(f5826,plain,
( $less(390,$sum(160,d(hamburg,saarbruecken)))
| ( 390 = $sum(160,d(hamburg,saarbruecken)) )
| spl0_158 ),
inference(resolution,[],[f5576,f11]) ).
tff(f5576,plain,
( ~ $less($sum(160,d(hamburg,saarbruecken)),390)
| spl0_158 ),
inference(avatar_component_clause,[],[f5574]) ).
tff(f5835,plain,
( spl0_167
| spl0_168
| spl0_158 ),
inference(avatar_split_clause,[],[f5825,f5574,f5832,f5828]) ).
tff(f5825,plain,
( ( 390 = $sum(160,d(hamburg,saarbruecken)) )
| $less(390,$sum(160,d(hamburg,saarbruecken)))
| spl0_158 ),
inference(resolution,[],[f5576,f11]) ).
tff(f5716,plain,
( ~ spl0_166
| ~ spl0_6
| ~ spl0_16 ),
inference(avatar_split_clause,[],[f5711,f131,f61,f5713]) ).
tff(f5711,plain,
( ~ $less($sum(d(kiel,berlin),90),250)
| ~ spl0_6
| ~ spl0_16 ),
inference(forward_demodulation,[],[f5687,f24]) ).
tff(f5687,plain,
( ~ $less($sum(d(berlin,kiel),90),250)
| ~ spl0_6
| ~ spl0_16 ),
inference(superposition,[],[f1492,f63]) ).
tff(f5710,plain,
( ~ spl0_165
| ~ spl0_13
| ~ spl0_16 ),
inference(avatar_split_clause,[],[f5705,f131,f96,f5707]) ).
tff(f5705,plain,
( ~ $less($sum(d(kiel,cologne),90),360)
| ~ spl0_13
| ~ spl0_16 ),
inference(forward_demodulation,[],[f5688,f24]) ).
tff(f5688,plain,
( ~ $less($sum(d(cologne,kiel),90),360)
| ~ spl0_13
| ~ spl0_16 ),
inference(superposition,[],[f1492,f98]) ).
tff(f5701,plain,
( ~ spl0_164
| ~ spl0_11
| ~ spl0_16 ),
inference(avatar_split_clause,[],[f5696,f131,f86,f5698]) ).
tff(f5696,plain,
( ~ $less($sum(d(kiel,frankfurt),90),390)
| ~ spl0_11
| ~ spl0_16 ),
inference(forward_demodulation,[],[f5689,f24]) ).
tff(f5689,plain,
( ~ $less($sum(d(frankfurt,kiel),90),390)
| ~ spl0_11
| ~ spl0_16 ),
inference(superposition,[],[f1492,f88]) ).
tff(f5650,plain,
( ~ spl0_163
| ~ spl0_4
| ~ spl0_18 ),
inference(avatar_split_clause,[],[f5645,f143,f51,f5647]) ).
tff(f5645,plain,
( ~ $less($sum(300,d(cologne,munich)),150)
| ~ spl0_4
| ~ spl0_18 ),
inference(forward_demodulation,[],[f5624,f24]) ).
tff(f5624,plain,
( ~ $less($sum(300,d(munich,cologne)),150)
| ~ spl0_4
| ~ spl0_18 ),
inference(superposition,[],[f1483,f53]) ).
tff(f1483,plain,
( ! [X19: city] : ~ $less($sum(300,d(munich,X19)),d(X19,frankfurt))
| ~ spl0_18 ),
inference(superposition,[],[f191,f145]) ).
tff(f5637,plain,
( ~ spl0_162
| ~ spl0_11
| ~ spl0_18 ),
inference(avatar_split_clause,[],[f5632,f143,f86,f5634]) ).
tff(f5632,plain,
( ~ $less($sum(300,d(hamburg,munich)),390)
| ~ spl0_11
| ~ spl0_18 ),
inference(forward_demodulation,[],[f5622,f24]) ).
tff(f5622,plain,
( ~ $less($sum(300,d(munich,hamburg)),390)
| ~ spl0_11
| ~ spl0_18 ),
inference(superposition,[],[f1483,f88]) ).
tff(f5607,plain,
( spl0_160
| spl0_161
| spl0_155 ),
inference(avatar_split_clause,[],[f5596,f5534,f5603,f5599]) ).
tff(f5599,plain,
( spl0_160
<=> $less(480,$sum(190,d(berlin,saarbruecken))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_160])]) ).
tff(f5603,plain,
( spl0_161
<=> ( 480 = $sum(190,d(berlin,saarbruecken)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_161])]) ).
tff(f5596,plain,
( ( 480 = $sum(190,d(berlin,saarbruecken)) )
| $less(480,$sum(190,d(berlin,saarbruecken)))
| spl0_155 ),
inference(resolution,[],[f5536,f11]) ).
tff(f5536,plain,
( ~ $less($sum(190,d(berlin,saarbruecken)),480)
| spl0_155 ),
inference(avatar_component_clause,[],[f5534]) ).
tff(f5606,plain,
( spl0_160
| spl0_161
| spl0_155 ),
inference(avatar_split_clause,[],[f5597,f5534,f5603,f5599]) ).
tff(f5597,plain,
( ( 480 = $sum(190,d(berlin,saarbruecken)) )
| $less(480,$sum(190,d(berlin,saarbruecken)))
| spl0_155 ),
inference(resolution,[],[f5536,f11]) ).
tff(f5587,plain,
( ~ spl0_159
| ~ spl0_8
| ~ spl0_15 ),
inference(avatar_split_clause,[],[f5582,f126,f71,f5584]) ).
tff(f5582,plain,
( ~ $less($sum(160,d(berlin,saarbruecken)),420)
| ~ spl0_8
| ~ spl0_15 ),
inference(forward_demodulation,[],[f5564,f24]) ).
tff(f5564,plain,
( ~ $less($sum(160,d(saarbruecken,berlin)),420)
| ~ spl0_8
| ~ spl0_15 ),
inference(superposition,[],[f1482,f73]) ).
tff(f1482,plain,
( ! [X18: city] : ~ $less($sum(160,d(saarbruecken,X18)),d(X18,frankfurt))
| ~ spl0_15 ),
inference(superposition,[],[f191,f128]) ).
tff(f5577,plain,
( ~ spl0_158
| ~ spl0_11
| ~ spl0_15 ),
inference(avatar_split_clause,[],[f5572,f126,f86,f5574]) ).
tff(f5572,plain,
( ~ $less($sum(160,d(hamburg,saarbruecken)),390)
| ~ spl0_11
| ~ spl0_15 ),
inference(forward_demodulation,[],[f5563,f24]) ).
tff(f5563,plain,
( ~ $less($sum(160,d(saarbruecken,hamburg)),390)
| ~ spl0_11
| ~ spl0_15 ),
inference(superposition,[],[f1482,f88]) ).
tff(f5551,plain,
( spl0_156
| spl0_157
| spl0_154 ),
inference(avatar_split_clause,[],[f5541,f5522,f5547,f5543]) ).
tff(f5543,plain,
( spl0_156
<=> $less(360,$sum(190,d(hamburg,saarbruecken))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_156])]) ).
tff(f5547,plain,
( spl0_157
<=> ( 360 = $sum(190,d(hamburg,saarbruecken)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_157])]) ).
tff(f5522,plain,
( spl0_154
<=> $less($sum(190,d(hamburg,saarbruecken)),360) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_154])]) ).
tff(f5541,plain,
( ( 360 = $sum(190,d(hamburg,saarbruecken)) )
| $less(360,$sum(190,d(hamburg,saarbruecken)))
| spl0_154 ),
inference(resolution,[],[f5524,f11]) ).
tff(f5524,plain,
( ~ $less($sum(190,d(hamburg,saarbruecken)),360)
| spl0_154 ),
inference(avatar_component_clause,[],[f5522]) ).
tff(f5550,plain,
( spl0_156
| spl0_157
| spl0_154 ),
inference(avatar_split_clause,[],[f5540,f5522,f5547,f5543]) ).
tff(f5540,plain,
( ( 360 = $sum(190,d(hamburg,saarbruecken)) )
| $less(360,$sum(190,d(hamburg,saarbruecken)))
| spl0_154 ),
inference(resolution,[],[f5524,f11]) ).
tff(f5537,plain,
( ~ spl0_155
| ~ spl0_2
| ~ spl0_14 ),
inference(avatar_split_clause,[],[f5532,f121,f41,f5534]) ).
tff(f5532,plain,
( ~ $less($sum(190,d(berlin,saarbruecken)),480)
| ~ spl0_2
| ~ spl0_14 ),
inference(forward_demodulation,[],[f5513,f24]) ).
tff(f5513,plain,
( ~ $less($sum(190,d(saarbruecken,berlin)),480)
| ~ spl0_2
| ~ spl0_14 ),
inference(superposition,[],[f1481,f43]) ).
tff(f5525,plain,
( ~ spl0_154
| ~ spl0_13
| ~ spl0_14 ),
inference(avatar_split_clause,[],[f5520,f121,f96,f5522]) ).
tff(f5520,plain,
( ~ $less($sum(190,d(hamburg,saarbruecken)),360)
| ~ spl0_13
| ~ spl0_14 ),
inference(forward_demodulation,[],[f5512,f24]) ).
tff(f5512,plain,
( ~ $less($sum(190,d(saarbruecken,hamburg)),360)
| ~ spl0_13
| ~ spl0_14 ),
inference(superposition,[],[f1481,f98]) ).
tff(f5382,plain,
( spl0_152
| spl0_153
| spl0_151 ),
inference(avatar_split_clause,[],[f5372,f5237,f5378,f5374]) ).
tff(f5374,plain,
( spl0_152
<=> ( 90 = $sum(d(kiel,frankfurt),390) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_152])]) ).
tff(f5378,plain,
( spl0_153
<=> $less(90,$sum(d(kiel,frankfurt),390)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_153])]) ).
tff(f5237,plain,
( spl0_151
<=> $less($sum(d(kiel,frankfurt),390),90) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_151])]) ).
tff(f5372,plain,
( $less(90,$sum(d(kiel,frankfurt),390))
| ( 90 = $sum(d(kiel,frankfurt),390) )
| spl0_151 ),
inference(resolution,[],[f5239,f11]) ).
tff(f5239,plain,
( ~ $less($sum(d(kiel,frankfurt),390),90)
| spl0_151 ),
inference(avatar_component_clause,[],[f5237]) ).
tff(f5381,plain,
( spl0_152
| spl0_153
| spl0_151 ),
inference(avatar_split_clause,[],[f5371,f5237,f5378,f5374]) ).
tff(f5371,plain,
( $less(90,$sum(d(kiel,frankfurt),390))
| ( 90 = $sum(d(kiel,frankfurt),390) )
| spl0_151 ),
inference(resolution,[],[f5239,f11]) ).
tff(f5240,plain,
( ~ spl0_151
| ~ spl0_11
| ~ spl0_16 ),
inference(avatar_split_clause,[],[f5219,f131,f86,f5237]) ).
tff(f5219,plain,
( ~ $less($sum(d(kiel,frankfurt),390),90)
| ~ spl0_11
| ~ spl0_16 ),
inference(superposition,[],[f1436,f133]) ).
tff(f1436,plain,
( ! [X12: city] : ~ $less($sum(d(X12,frankfurt),390),d(X12,hamburg))
| ~ spl0_11 ),
inference(superposition,[],[f176,f88]) ).
tff(f5205,plain,
( spl0_150
| spl0_149
| spl0_148 ),
inference(avatar_split_clause,[],[f5194,f5186,f5197,f5201]) ).
tff(f5201,plain,
( spl0_150
<=> ( 90 = $sum(d(kiel,cologne),360) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_150])]) ).
tff(f5197,plain,
( spl0_149
<=> $less(90,$sum(d(kiel,cologne),360)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_149])]) ).
tff(f5186,plain,
( spl0_148
<=> $less($sum(d(kiel,cologne),360),90) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_148])]) ).
tff(f5194,plain,
( $less(90,$sum(d(kiel,cologne),360))
| ( 90 = $sum(d(kiel,cologne),360) )
| spl0_148 ),
inference(resolution,[],[f5188,f11]) ).
tff(f5188,plain,
( ~ $less($sum(d(kiel,cologne),360),90)
| spl0_148 ),
inference(avatar_component_clause,[],[f5186]) ).
tff(f5204,plain,
( spl0_149
| spl0_150
| spl0_148 ),
inference(avatar_split_clause,[],[f5195,f5186,f5201,f5197]) ).
tff(f5195,plain,
( ( 90 = $sum(d(kiel,cologne),360) )
| $less(90,$sum(d(kiel,cologne),360))
| spl0_148 ),
inference(resolution,[],[f5188,f11]) ).
tff(f5189,plain,
( ~ spl0_148
| ~ spl0_13
| ~ spl0_16 ),
inference(avatar_split_clause,[],[f5177,f131,f96,f5186]) ).
tff(f5177,plain,
( ~ $less($sum(d(kiel,cologne),360),90)
| ~ spl0_13
| ~ spl0_16 ),
inference(superposition,[],[f1435,f133]) ).
tff(f1435,plain,
( ! [X11: city] : ~ $less($sum(d(X11,cologne),360),d(X11,hamburg))
| ~ spl0_13 ),
inference(superposition,[],[f176,f98]) ).
tff(f5165,plain,
( spl0_146
| spl0_147
| spl0_145 ),
inference(avatar_split_clause,[],[f5154,f5150,f5161,f5157]) ).
tff(f5157,plain,
( spl0_146
<=> ( 90 = $sum(d(kiel,berlin),250) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_146])]) ).
tff(f5161,plain,
( spl0_147
<=> $less(90,$sum(d(kiel,berlin),250)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_147])]) ).
tff(f5150,plain,
( spl0_145
<=> $less($sum(d(kiel,berlin),250),90) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_145])]) ).
tff(f5154,plain,
( $less(90,$sum(d(kiel,berlin),250))
| ( 90 = $sum(d(kiel,berlin),250) )
| spl0_145 ),
inference(resolution,[],[f5152,f11]) ).
tff(f5152,plain,
( ~ $less($sum(d(kiel,berlin),250),90)
| spl0_145 ),
inference(avatar_component_clause,[],[f5150]) ).
tff(f5164,plain,
( spl0_146
| spl0_147
| spl0_145 ),
inference(avatar_split_clause,[],[f5155,f5150,f5161,f5157]) ).
tff(f5155,plain,
( $less(90,$sum(d(kiel,berlin),250))
| ( 90 = $sum(d(kiel,berlin),250) )
| spl0_145 ),
inference(resolution,[],[f5152,f11]) ).
tff(f5153,plain,
( ~ spl0_145
| ~ spl0_6
| ~ spl0_16 ),
inference(avatar_split_clause,[],[f5142,f131,f61,f5150]) ).
tff(f5142,plain,
( ~ $less($sum(d(kiel,berlin),250),90)
| ~ spl0_6
| ~ spl0_16 ),
inference(superposition,[],[f1434,f133]) ).
tff(f1434,plain,
( ! [X10: city] : ~ $less($sum(d(X10,berlin),250),d(X10,hamburg))
| ~ spl0_6 ),
inference(superposition,[],[f176,f63]) ).
tff(f4850,plain,
( spl0_143
| spl0_144
| spl0_136 ),
inference(avatar_split_clause,[],[f4839,f4497,f4846,f4842]) ).
tff(f4842,plain,
( spl0_143
<=> ( 300 = $sum(150,d(cologne,munich)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_143])]) ).
tff(f4846,plain,
( spl0_144
<=> $less(300,$sum(150,d(cologne,munich))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_144])]) ).
tff(f4497,plain,
( spl0_136
<=> $less($sum(150,d(cologne,munich)),300) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_136])]) ).
tff(f4839,plain,
( $less(300,$sum(150,d(cologne,munich)))
| ( 300 = $sum(150,d(cologne,munich)) )
| spl0_136 ),
inference(resolution,[],[f4499,f11]) ).
tff(f4499,plain,
( ~ $less($sum(150,d(cologne,munich)),300)
| spl0_136 ),
inference(avatar_component_clause,[],[f4497]) ).
tff(f4849,plain,
( spl0_143
| spl0_144
| spl0_136 ),
inference(avatar_split_clause,[],[f4840,f4497,f4846,f4842]) ).
tff(f4840,plain,
( $less(300,$sum(150,d(cologne,munich)))
| ( 300 = $sum(150,d(cologne,munich)) )
| spl0_136 ),
inference(resolution,[],[f4499,f11]) ).
tff(f4838,plain,
( spl0_141
| spl0_142
| spl0_135 ),
inference(avatar_split_clause,[],[f4828,f4450,f4834,f4830]) ).
tff(f4830,plain,
( spl0_141
<=> $less(160,$sum(420,d(berlin,saarbruecken))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_141])]) ).
tff(f4834,plain,
( spl0_142
<=> ( 160 = $sum(420,d(berlin,saarbruecken)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_142])]) ).
tff(f4450,plain,
( spl0_135
<=> $less($sum(420,d(berlin,saarbruecken)),160) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_135])]) ).
tff(f4828,plain,
( ( 160 = $sum(420,d(berlin,saarbruecken)) )
| $less(160,$sum(420,d(berlin,saarbruecken)))
| spl0_135 ),
inference(resolution,[],[f4452,f11]) ).
tff(f4452,plain,
( ~ $less($sum(420,d(berlin,saarbruecken)),160)
| spl0_135 ),
inference(avatar_component_clause,[],[f4450]) ).
tff(f4837,plain,
( spl0_141
| spl0_142
| spl0_135 ),
inference(avatar_split_clause,[],[f4827,f4450,f4834,f4830]) ).
tff(f4827,plain,
( ( 160 = $sum(420,d(berlin,saarbruecken)) )
| $less(160,$sum(420,d(berlin,saarbruecken)))
| spl0_135 ),
inference(resolution,[],[f4452,f11]) ).
tff(f4736,plain,
( spl0_139
| spl0_140
| spl0_134 ),
inference(avatar_split_clause,[],[f4725,f4414,f4732,f4728]) ).
tff(f4728,plain,
( spl0_139
<=> $less(190,$sum(480,d(berlin,saarbruecken))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_139])]) ).
tff(f4732,plain,
( spl0_140
<=> ( 190 = $sum(480,d(berlin,saarbruecken)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_140])]) ).
tff(f4414,plain,
( spl0_134
<=> $less($sum(480,d(berlin,saarbruecken)),190) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_134])]) ).
tff(f4725,plain,
( ( 190 = $sum(480,d(berlin,saarbruecken)) )
| $less(190,$sum(480,d(berlin,saarbruecken)))
| spl0_134 ),
inference(resolution,[],[f4416,f11]) ).
tff(f4416,plain,
( ~ $less($sum(480,d(berlin,saarbruecken)),190)
| spl0_134 ),
inference(avatar_component_clause,[],[f4414]) ).
tff(f4735,plain,
( spl0_139
| spl0_140
| spl0_134 ),
inference(avatar_split_clause,[],[f4726,f4414,f4732,f4728]) ).
tff(f4726,plain,
( ( 190 = $sum(480,d(berlin,saarbruecken)) )
| $less(190,$sum(480,d(berlin,saarbruecken)))
| spl0_134 ),
inference(resolution,[],[f4416,f11]) ).
tff(f4675,plain,
( spl0_137
| spl0_138
| spl0_131 ),
inference(avatar_split_clause,[],[f4665,f4379,f4671,f4667]) ).
tff(f4667,plain,
( spl0_137
<=> ( 300 = $sum(390,d(hamburg,munich)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_137])]) ).
tff(f4671,plain,
( spl0_138
<=> $less(300,$sum(390,d(hamburg,munich))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_138])]) ).
tff(f4379,plain,
( spl0_131
<=> $less($sum(390,d(hamburg,munich)),300) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_131])]) ).
tff(f4665,plain,
( $less(300,$sum(390,d(hamburg,munich)))
| ( 300 = $sum(390,d(hamburg,munich)) )
| spl0_131 ),
inference(resolution,[],[f4381,f11]) ).
tff(f4381,plain,
( ~ $less($sum(390,d(hamburg,munich)),300)
| spl0_131 ),
inference(avatar_component_clause,[],[f4379]) ).
tff(f4674,plain,
( spl0_137
| spl0_138
| spl0_131 ),
inference(avatar_split_clause,[],[f4664,f4379,f4671,f4667]) ).
tff(f4664,plain,
( $less(300,$sum(390,d(hamburg,munich)))
| ( 300 = $sum(390,d(hamburg,munich)) )
| spl0_131 ),
inference(resolution,[],[f4381,f11]) ).
tff(f4500,plain,
( ~ spl0_136
| ~ spl0_4
| ~ spl0_18 ),
inference(avatar_split_clause,[],[f4487,f143,f51,f4497]) ).
tff(f4487,plain,
( ~ $less($sum(150,d(cologne,munich)),300)
| ~ spl0_4
| ~ spl0_18 ),
inference(superposition,[],[f1360,f145]) ).
tff(f1360,plain,
( ! [X16: city] : ~ $less($sum(150,d(cologne,X16)),d(frankfurt,X16))
| ~ spl0_4 ),
inference(superposition,[],[f162,f53]) ).
tff(f4453,plain,
( ~ spl0_135
| ~ spl0_8
| ~ spl0_15 ),
inference(avatar_split_clause,[],[f4432,f126,f71,f4450]) ).
tff(f4432,plain,
( ~ $less($sum(420,d(berlin,saarbruecken)),160)
| ~ spl0_8
| ~ spl0_15 ),
inference(superposition,[],[f1358,f128]) ).
tff(f1358,plain,
( ! [X14: city] : ~ $less($sum(420,d(berlin,X14)),d(frankfurt,X14))
| ~ spl0_8 ),
inference(superposition,[],[f162,f73]) ).
tff(f4417,plain,
( ~ spl0_134
| ~ spl0_2
| ~ spl0_14 ),
inference(avatar_split_clause,[],[f4405,f121,f41,f4414]) ).
tff(f4405,plain,
( ~ $less($sum(480,d(berlin,saarbruecken)),190)
| ~ spl0_2
| ~ spl0_14 ),
inference(superposition,[],[f1357,f123]) ).
tff(f1357,plain,
( ! [X13: city] : ~ $less($sum(480,d(berlin,X13)),d(cologne,X13))
| ~ spl0_2 ),
inference(superposition,[],[f162,f43]) ).
tff(f4395,plain,
( spl0_133
| spl0_132
| spl0_130 ),
inference(avatar_split_clause,[],[f4384,f4369,f4387,f4391]) ).
tff(f4391,plain,
( spl0_133
<=> $less(160,$sum(390,d(hamburg,saarbruecken))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_133])]) ).
tff(f4387,plain,
( spl0_132
<=> ( 160 = $sum(390,d(hamburg,saarbruecken)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_132])]) ).
tff(f4369,plain,
( spl0_130
<=> $less($sum(390,d(hamburg,saarbruecken)),160) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_130])]) ).
tff(f4384,plain,
( ( 160 = $sum(390,d(hamburg,saarbruecken)) )
| $less(160,$sum(390,d(hamburg,saarbruecken)))
| spl0_130 ),
inference(resolution,[],[f4371,f11]) ).
tff(f4371,plain,
( ~ $less($sum(390,d(hamburg,saarbruecken)),160)
| spl0_130 ),
inference(avatar_component_clause,[],[f4369]) ).
tff(f4394,plain,
( spl0_132
| spl0_133
| spl0_130 ),
inference(avatar_split_clause,[],[f4385,f4369,f4391,f4387]) ).
tff(f4385,plain,
( $less(160,$sum(390,d(hamburg,saarbruecken)))
| ( 160 = $sum(390,d(hamburg,saarbruecken)) )
| spl0_130 ),
inference(resolution,[],[f4371,f11]) ).
tff(f4382,plain,
( ~ spl0_131
| ~ spl0_11
| ~ spl0_18 ),
inference(avatar_split_clause,[],[f4356,f143,f86,f4379]) ).
tff(f4356,plain,
( ~ $less($sum(390,d(hamburg,munich)),300)
| ~ spl0_11
| ~ spl0_18 ),
inference(superposition,[],[f1356,f145]) ).
tff(f1356,plain,
( ! [X12: city] : ~ $less($sum(390,d(hamburg,X12)),d(frankfurt,X12))
| ~ spl0_11 ),
inference(superposition,[],[f162,f88]) ).
tff(f4372,plain,
( ~ spl0_130
| ~ spl0_11
| ~ spl0_15 ),
inference(avatar_split_clause,[],[f4355,f126,f86,f4369]) ).
tff(f4355,plain,
( ~ $less($sum(390,d(hamburg,saarbruecken)),160)
| ~ spl0_11
| ~ spl0_15 ),
inference(superposition,[],[f1356,f128]) ).
tff(f4345,plain,
( spl0_128
| spl0_129
| spl0_127 ),
inference(avatar_split_clause,[],[f4334,f4328,f4341,f4337]) ).
tff(f4337,plain,
( spl0_128
<=> $less(190,$sum(360,d(hamburg,saarbruecken))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_128])]) ).
tff(f4341,plain,
( spl0_129
<=> ( 190 = $sum(360,d(hamburg,saarbruecken)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_129])]) ).
tff(f4328,plain,
( spl0_127
<=> $less($sum(360,d(hamburg,saarbruecken)),190) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_127])]) ).
tff(f4334,plain,
( ( 190 = $sum(360,d(hamburg,saarbruecken)) )
| $less(190,$sum(360,d(hamburg,saarbruecken)))
| spl0_127 ),
inference(resolution,[],[f4330,f11]) ).
tff(f4330,plain,
( ~ $less($sum(360,d(hamburg,saarbruecken)),190)
| spl0_127 ),
inference(avatar_component_clause,[],[f4328]) ).
tff(f4344,plain,
( spl0_128
| spl0_129
| spl0_127 ),
inference(avatar_split_clause,[],[f4335,f4328,f4341,f4337]) ).
tff(f4335,plain,
( ( 190 = $sum(360,d(hamburg,saarbruecken)) )
| $less(190,$sum(360,d(hamburg,saarbruecken)))
| spl0_127 ),
inference(resolution,[],[f4330,f11]) ).
tff(f4331,plain,
( ~ spl0_127
| ~ spl0_13
| ~ spl0_14 ),
inference(avatar_split_clause,[],[f4311,f121,f96,f4328]) ).
tff(f4311,plain,
( ~ $less($sum(360,d(hamburg,saarbruecken)),190)
| ~ spl0_13
| ~ spl0_14 ),
inference(superposition,[],[f1355,f123]) ).
tff(f4269,plain,
( spl0_126
| spl0_125
| spl0_124 ),
inference(avatar_split_clause,[],[f4259,f4230,f4261,f4265]) ).
tff(f4265,plain,
( spl0_126
<=> ( 360 = $sum(510,d(berlin,saarbruecken)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_126])]) ).
tff(f4261,plain,
( spl0_125
<=> $less(360,$sum(510,d(berlin,saarbruecken))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_125])]) ).
tff(f4230,plain,
( spl0_124
<=> $less($sum(510,d(berlin,saarbruecken)),360) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_124])]) ).
tff(f4259,plain,
( $less(360,$sum(510,d(berlin,saarbruecken)))
| ( 360 = $sum(510,d(berlin,saarbruecken)) )
| spl0_124 ),
inference(resolution,[],[f4232,f11]) ).
tff(f4232,plain,
( ~ $less($sum(510,d(berlin,saarbruecken)),360)
| spl0_124 ),
inference(avatar_component_clause,[],[f4230]) ).
tff(f4268,plain,
( spl0_125
| spl0_126
| spl0_124 ),
inference(avatar_split_clause,[],[f4258,f4230,f4265,f4261]) ).
tff(f4258,plain,
( ( 360 = $sum(510,d(berlin,saarbruecken)) )
| $less(360,$sum(510,d(berlin,saarbruecken)))
| spl0_124 ),
inference(resolution,[],[f4232,f11]) ).
tff(f4233,plain,
( ~ spl0_124
| ~ spl0_10
| ~ spl0_12 ),
inference(avatar_split_clause,[],[f4212,f91,f81,f4230]) ).
tff(f4212,plain,
( ~ $less($sum(510,d(berlin,saarbruecken)),360)
| ~ spl0_10
| ~ spl0_12 ),
inference(superposition,[],[f1327,f93]) ).
tff(f4044,plain,
( spl0_122
| spl0_123
| spl0_113 ),
inference(avatar_split_clause,[],[f4034,f3928,f4040,f4036]) ).
tff(f4036,plain,
( spl0_122
<=> ( 510 = $sum(250,d(hamburg,munich)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_122])]) ).
tff(f4040,plain,
( spl0_123
<=> $less(510,$sum(250,d(hamburg,munich))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_123])]) ).
tff(f3928,plain,
( spl0_113
<=> $less($sum(250,d(hamburg,munich)),510) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_113])]) ).
tff(f4034,plain,
( $less(510,$sum(250,d(hamburg,munich)))
| ( 510 = $sum(250,d(hamburg,munich)) )
| spl0_113 ),
inference(resolution,[],[f3930,f11]) ).
tff(f3930,plain,
( ~ $less($sum(250,d(hamburg,munich)),510)
| spl0_113 ),
inference(avatar_component_clause,[],[f3928]) ).
tff(f4043,plain,
( spl0_122
| spl0_123
| spl0_113 ),
inference(avatar_split_clause,[],[f4033,f3928,f4040,f4036]) ).
tff(f4033,plain,
( $less(510,$sum(250,d(hamburg,munich)))
| ( 510 = $sum(250,d(hamburg,munich)) )
| spl0_113 ),
inference(resolution,[],[f3930,f11]) ).
tff(f4032,plain,
( spl0_121
| spl0_120
| spl0_112 ),
inference(avatar_split_clause,[],[f4022,f3706,f4024,f4028]) ).
tff(f4028,plain,
( spl0_121
<=> ( 250 = $sum(d(hamburg,munich),510) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_121])]) ).
tff(f4024,plain,
( spl0_120
<=> $less(250,$sum(d(hamburg,munich),510)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_120])]) ).
tff(f3706,plain,
( spl0_112
<=> $less($sum(d(hamburg,munich),510),250) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_112])]) ).
tff(f4022,plain,
( $less(250,$sum(d(hamburg,munich),510))
| ( 250 = $sum(d(hamburg,munich),510) )
| spl0_112 ),
inference(resolution,[],[f3708,f11]) ).
tff(f3708,plain,
( ~ $less($sum(d(hamburg,munich),510),250)
| spl0_112 ),
inference(avatar_component_clause,[],[f3706]) ).
tff(f4031,plain,
( spl0_120
| spl0_121
| spl0_112 ),
inference(avatar_split_clause,[],[f4021,f3706,f4028,f4024]) ).
tff(f4021,plain,
( ( 250 = $sum(d(hamburg,munich),510) )
| $less(250,$sum(d(hamburg,munich),510))
| spl0_112 ),
inference(resolution,[],[f3708,f11]) ).
tff(f3989,plain,
( spl0_118
| spl0_119
| spl0_110 ),
inference(avatar_split_clause,[],[f3978,f3074,f3985,f3981]) ).
tff(f3981,plain,
( spl0_118
<=> $less(510,$sum(d(hamburg,munich),250)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_118])]) ).
tff(f3985,plain,
( spl0_119
<=> ( 510 = $sum(d(hamburg,munich),250) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_119])]) ).
tff(f3074,plain,
( spl0_110
<=> $less($sum(d(hamburg,munich),250),510) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_110])]) ).
tff(f3978,plain,
( ( 510 = $sum(d(hamburg,munich),250) )
| $less(510,$sum(d(hamburg,munich),250))
| spl0_110 ),
inference(resolution,[],[f3076,f11]) ).
tff(f3076,plain,
( ~ $less($sum(d(hamburg,munich),250),510)
| spl0_110 ),
inference(avatar_component_clause,[],[f3074]) ).
tff(f3988,plain,
( spl0_118
| spl0_119
| spl0_110 ),
inference(avatar_split_clause,[],[f3979,f3074,f3985,f3981]) ).
tff(f3979,plain,
( ( 510 = $sum(d(hamburg,munich),250) )
| $less(510,$sum(d(hamburg,munich),250))
| spl0_110 ),
inference(resolution,[],[f3076,f11]) ).
tff(f3977,plain,
( spl0_116
| spl0_117
| spl0_109 ),
inference(avatar_split_clause,[],[f3967,f2968,f3973,f3969]) ).
tff(f3969,plain,
( spl0_116
<=> $less(510,$sum(360,d(berlin,saarbruecken))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_116])]) ).
tff(f3973,plain,
( spl0_117
<=> ( 510 = $sum(360,d(berlin,saarbruecken)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_117])]) ).
tff(f2968,plain,
( spl0_109
<=> $less($sum(360,d(berlin,saarbruecken)),510) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_109])]) ).
tff(f3967,plain,
( ( 510 = $sum(360,d(berlin,saarbruecken)) )
| $less(510,$sum(360,d(berlin,saarbruecken)))
| spl0_109 ),
inference(resolution,[],[f2970,f11]) ).
tff(f2970,plain,
( ~ $less($sum(360,d(berlin,saarbruecken)),510)
| spl0_109 ),
inference(avatar_component_clause,[],[f2968]) ).
tff(f3976,plain,
( spl0_116
| spl0_117
| spl0_109 ),
inference(avatar_split_clause,[],[f3966,f2968,f3973,f3969]) ).
tff(f3966,plain,
( ( 510 = $sum(360,d(berlin,saarbruecken)) )
| $less(510,$sum(360,d(berlin,saarbruecken)))
| spl0_109 ),
inference(resolution,[],[f2970,f11]) ).
tff(f3965,plain,
( spl0_114
| spl0_115
| spl0_108 ),
inference(avatar_split_clause,[],[f3955,f2675,f3961,f3957]) ).
tff(f3957,plain,
( spl0_114
<=> $less(250,$sum(510,d(hamburg,munich))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_114])]) ).
tff(f3961,plain,
( spl0_115
<=> ( 250 = $sum(510,d(hamburg,munich)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_115])]) ).
tff(f2675,plain,
( spl0_108
<=> $less($sum(510,d(hamburg,munich)),250) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_108])]) ).
tff(f3955,plain,
( ( 250 = $sum(510,d(hamburg,munich)) )
| $less(250,$sum(510,d(hamburg,munich)))
| spl0_108 ),
inference(resolution,[],[f2677,f11]) ).
tff(f2677,plain,
( ~ $less($sum(510,d(hamburg,munich)),250)
| spl0_108 ),
inference(avatar_component_clause,[],[f2675]) ).
tff(f3964,plain,
( spl0_114
| spl0_115
| spl0_108 ),
inference(avatar_split_clause,[],[f3954,f2675,f3961,f3957]) ).
tff(f3954,plain,
( ( 250 = $sum(510,d(hamburg,munich)) )
| $less(250,$sum(510,d(hamburg,munich)))
| spl0_108 ),
inference(resolution,[],[f2677,f11]) ).
tff(f3931,plain,
( ~ spl0_113
| ~ spl0_6
| ~ spl0_12 ),
inference(avatar_split_clause,[],[f3913,f91,f61,f3928]) ).
tff(f3913,plain,
( ~ $less($sum(250,d(hamburg,munich)),510)
| ~ spl0_6
| ~ spl0_12 ),
inference(superposition,[],[f1198,f63]) ).
tff(f1198,plain,
( ! [X1: city] : ~ $less($sum(d(X1,berlin),d(X1,munich)),510)
| ~ spl0_12 ),
inference(superposition,[],[f199,f24]) ).
tff(f199,plain,
( ! [X14: city] : ~ $less($sum(d(berlin,X14),d(X14,munich)),510)
| ~ spl0_12 ),
inference(superposition,[],[f30,f93]) ).
tff(f3709,plain,
( ~ spl0_112
| ~ spl0_6
| ~ spl0_12 ),
inference(avatar_split_clause,[],[f3697,f91,f61,f3706]) ).
tff(f3697,plain,
( ~ $less($sum(d(hamburg,munich),510),250)
| ~ spl0_6
| ~ spl0_12 ),
inference(superposition,[],[f1092,f93]) ).
tff(f3205,plain,
( ~ spl0_111
| ~ spl0_2
| ~ spl0_12 ),
inference(avatar_split_clause,[],[f3200,f91,f41,f3202]) ).
tff(f3202,plain,
( spl0_111
<=> $less(990,d(cologne,munich)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_111])]) ).
tff(f3200,plain,
( ~ $less(990,d(cologne,munich))
| ~ spl0_2
| ~ spl0_12 ),
inference(forward_demodulation,[],[f3194,f24]) ).
tff(f3194,plain,
( ~ $less(990,d(munich,cologne))
| ~ spl0_2
| ~ spl0_12 ),
inference(evaluation,[],[f3183]) ).
tff(f3183,plain,
( ~ $less($sum(510,480),d(munich,cologne))
| ~ spl0_2
| ~ spl0_12 ),
inference(superposition,[],[f714,f93]) ).
tff(f3077,plain,
( ~ spl0_110
| ~ spl0_6
| ~ spl0_12 ),
inference(avatar_split_clause,[],[f3072,f91,f61,f3074]) ).
tff(f3072,plain,
( ~ $less($sum(d(hamburg,munich),250),510)
| ~ spl0_6
| ~ spl0_12 ),
inference(forward_demodulation,[],[f3057,f24]) ).
tff(f3057,plain,
( ~ $less($sum(d(munich,hamburg),250),510)
| ~ spl0_6
| ~ spl0_12 ),
inference(superposition,[],[f632,f93]) ).
tff(f632,plain,
( ! [X1: city] : ~ $less($sum(d(X1,hamburg),250),d(berlin,X1))
| ~ spl0_6 ),
inference(superposition,[],[f179,f24]) ).
tff(f2971,plain,
( ~ spl0_109
| ~ spl0_10
| ~ spl0_12 ),
inference(avatar_split_clause,[],[f2966,f91,f81,f2968]) ).
tff(f2966,plain,
( ~ $less($sum(360,d(berlin,saarbruecken)),510)
| ~ spl0_10
| ~ spl0_12 ),
inference(forward_demodulation,[],[f2955,f24]) ).
tff(f2955,plain,
( ~ $less($sum(360,d(saarbruecken,berlin)),510)
| ~ spl0_10
| ~ spl0_12 ),
inference(superposition,[],[f571,f93]) ).
tff(f571,plain,
( ! [X1: city] : ~ $less($sum(360,d(saarbruecken,X1)),d(X1,munich))
| ~ spl0_10 ),
inference(superposition,[],[f174,f24]) ).
tff(f2678,plain,
( ~ spl0_108
| ~ spl0_6
| ~ spl0_12 ),
inference(avatar_split_clause,[],[f2673,f91,f61,f2675]) ).
tff(f2673,plain,
( ~ $less($sum(510,d(hamburg,munich)),250)
| ~ spl0_6
| ~ spl0_12 ),
inference(forward_demodulation,[],[f2663,f24]) ).
tff(f2663,plain,
( ~ $less($sum(510,d(munich,hamburg)),250)
| ~ spl0_6
| ~ spl0_12 ),
inference(superposition,[],[f444,f63]) ).
tff(f444,plain,
( ! [X1: city] : ~ $less($sum(510,d(munich,X1)),d(X1,berlin))
| ~ spl0_12 ),
inference(superposition,[],[f169,f24]) ).
tff(f1954,plain,
( spl0_102
| spl0_103
| spl0_34 ),
inference(avatar_split_clause,[],[f1641,f509,f1918,f1914]) ).
tff(f1914,plain,
( spl0_102
<=> $less(360,$sum(190,d(cologne,munich))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_102])]) ).
tff(f1918,plain,
( spl0_103
<=> ( 360 = $sum(190,d(cologne,munich)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_103])]) ).
tff(f509,plain,
( spl0_34
<=> $less($sum(190,d(cologne,munich)),360) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_34])]) ).
tff(f1641,plain,
( ( 360 = $sum(190,d(cologne,munich)) )
| $less(360,$sum(190,d(cologne,munich)))
| spl0_34 ),
inference(resolution,[],[f11,f511]) ).
tff(f511,plain,
( ~ $less($sum(190,d(cologne,munich)),360)
| spl0_34 ),
inference(avatar_component_clause,[],[f509]) ).
tff(f1953,plain,
( spl0_88
| spl0_89
| spl0_48 ),
inference(avatar_split_clause,[],[f1662,f885,f1847,f1843]) ).
tff(f1843,plain,
( spl0_88
<=> ( 390 = $sum(d(hamburg,saarbruecken),160) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_88])]) ).
tff(f1847,plain,
( spl0_89
<=> $less(390,$sum(d(hamburg,saarbruecken),160)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_89])]) ).
tff(f885,plain,
( spl0_48
<=> $less($sum(d(hamburg,saarbruecken),160),390) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_48])]) ).
tff(f1662,plain,
( $less(390,$sum(d(hamburg,saarbruecken),160))
| ( 390 = $sum(d(hamburg,saarbruecken),160) )
| spl0_48 ),
inference(resolution,[],[f11,f887]) ).
tff(f887,plain,
( ~ $less($sum(d(hamburg,saarbruecken),160),390)
| spl0_48 ),
inference(avatar_component_clause,[],[f885]) ).
tff(f1952,plain,
( spl0_80
| spl0_81
| spl0_52 ),
inference(avatar_split_clause,[],[f1589,f960,f1809,f1805]) ).
tff(f1805,plain,
( spl0_80
<=> ( 190 = $sum(d(cologne,munich),360) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_80])]) ).
tff(f1809,plain,
( spl0_81
<=> $less(190,$sum(d(cologne,munich),360)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_81])]) ).
tff(f960,plain,
( spl0_52
<=> $less($sum(d(cologne,munich),360),190) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_52])]) ).
tff(f1589,plain,
( $less(190,$sum(d(cologne,munich),360))
| ( 190 = $sum(d(cologne,munich),360) )
| spl0_52 ),
inference(resolution,[],[f11,f962]) ).
tff(f962,plain,
( ~ $less($sum(d(cologne,munich),360),190)
| spl0_52 ),
inference(avatar_component_clause,[],[f960]) ).
tff(f1951,plain,
( spl0_99
| spl0_98
| spl0_27 ),
inference(avatar_split_clause,[],[f1567,f372,f1890,f1894]) ).
tff(f1894,plain,
( spl0_99
<=> $less(90,$sum(390,d(kiel,frankfurt))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_99])]) ).
tff(f1890,plain,
( spl0_98
<=> ( 90 = $sum(390,d(kiel,frankfurt)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_98])]) ).
tff(f372,plain,
( spl0_27
<=> $less($sum(390,d(kiel,frankfurt)),90) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_27])]) ).
tff(f1567,plain,
( ( 90 = $sum(390,d(kiel,frankfurt)) )
| $less(90,$sum(390,d(kiel,frankfurt)))
| spl0_27 ),
inference(resolution,[],[f11,f374]) ).
tff(f374,plain,
( ~ $less($sum(390,d(kiel,frankfurt)),90)
| spl0_27 ),
inference(avatar_component_clause,[],[f372]) ).
tff(f1950,plain,
( spl0_76
| spl0_77
| spl0_51 ),
inference(avatar_split_clause,[],[f1600,f927,f1790,f1786]) ).
tff(f1786,plain,
( spl0_76
<=> $less(390,$sum(d(hamburg,munich),300)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_76])]) ).
tff(f1790,plain,
( spl0_77
<=> ( 390 = $sum(d(hamburg,munich),300) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_77])]) ).
tff(f927,plain,
( spl0_51
<=> $less($sum(d(hamburg,munich),300),390) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_51])]) ).
tff(f1600,plain,
( ( 390 = $sum(d(hamburg,munich),300) )
| $less(390,$sum(d(hamburg,munich),300))
| spl0_51 ),
inference(resolution,[],[f11,f929]) ).
tff(f929,plain,
( ~ $less($sum(d(hamburg,munich),300),390)
| spl0_51 ),
inference(avatar_component_clause,[],[f927]) ).
tff(f1949,plain,
( spl0_101
| spl0_100
| spl0_46 ),
inference(avatar_split_clause,[],[f1665,f850,f1903,f1907]) ).
tff(f850,plain,
( spl0_46
<=> $less($sum(d(berlin,saarbruecken),190),480) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_46])]) ).
tff(f1665,plain,
( ( 480 = $sum(d(berlin,saarbruecken),190) )
| $less(480,$sum(d(berlin,saarbruecken),190))
| spl0_46 ),
inference(resolution,[],[f11,f852]) ).
tff(f852,plain,
( ~ $less($sum(d(berlin,saarbruecken),190),480)
| spl0_46 ),
inference(avatar_component_clause,[],[f850]) ).
tff(f1948,plain,
( spl0_90
| spl0_91
| spl0_55 ),
inference(avatar_split_clause,[],[f1667,f1337,f1856,f1852]) ).
tff(f1852,plain,
( spl0_90
<=> ( 360 = $sum(d(cologne,munich),190) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_90])]) ).
tff(f1856,plain,
( spl0_91
<=> $less(360,$sum(d(cologne,munich),190)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_91])]) ).
tff(f1337,plain,
( spl0_55
<=> $less($sum(d(cologne,munich),190),360) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_55])]) ).
tff(f1667,plain,
( $less(360,$sum(d(cologne,munich),190))
| ( 360 = $sum(d(cologne,munich),190) )
| spl0_55 ),
inference(resolution,[],[f11,f1339]) ).
tff(f1339,plain,
( ~ $less($sum(d(cologne,munich),190),360)
| spl0_55 ),
inference(avatar_component_clause,[],[f1337]) ).
tff(f1947,plain,
( spl0_94
| spl0_95
| spl0_32 ),
inference(avatar_split_clause,[],[f1552,f462,f1875,f1871]) ).
tff(f1871,plain,
( spl0_94
<=> ( 480 = $sum(510,d(cologne,munich)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_94])]) ).
tff(f1875,plain,
( spl0_95
<=> $less(480,$sum(510,d(cologne,munich))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_95])]) ).
tff(f462,plain,
( spl0_32
<=> $less($sum(510,d(cologne,munich)),480) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_32])]) ).
tff(f1552,plain,
( $less(480,$sum(510,d(cologne,munich)))
| ( 480 = $sum(510,d(cologne,munich)) )
| spl0_32 ),
inference(resolution,[],[f11,f464]) ).
tff(f464,plain,
( ~ $less($sum(510,d(cologne,munich)),480)
| spl0_32 ),
inference(avatar_component_clause,[],[f462]) ).
tff(f1946,plain,
( spl0_104
| spl0_105
| spl0_28 ),
inference(avatar_split_clause,[],[f1632,f396,f1928,f1924]) ).
tff(f1924,plain,
( spl0_104
<=> $less(510,$sum(480,d(cologne,munich))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_104])]) ).
tff(f1928,plain,
( spl0_105
<=> ( 510 = $sum(480,d(cologne,munich)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_105])]) ).
tff(f396,plain,
( spl0_28
<=> $less($sum(480,d(cologne,munich)),510) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_28])]) ).
tff(f1632,plain,
( ( 510 = $sum(480,d(cologne,munich)) )
| $less(510,$sum(480,d(cologne,munich)))
| spl0_28 ),
inference(resolution,[],[f11,f398]) ).
tff(f398,plain,
( ~ $less($sum(480,d(cologne,munich)),510)
| spl0_28 ),
inference(avatar_component_clause,[],[f396]) ).
tff(f1945,plain,
( spl0_68
| spl0_69
| spl0_24 ),
inference(avatar_split_clause,[],[f1648,f326,f1754,f1750]) ).
tff(f1750,plain,
( spl0_68
<=> $less(90,$sum(360,d(kiel,cologne))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_68])]) ).
tff(f1754,plain,
( spl0_69
<=> ( 90 = $sum(360,d(kiel,cologne)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_69])]) ).
tff(f326,plain,
( spl0_24
<=> $less($sum(360,d(kiel,cologne)),90) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_24])]) ).
tff(f1648,plain,
( ( 90 = $sum(360,d(kiel,cologne)) )
| $less(90,$sum(360,d(kiel,cologne)))
| spl0_24 ),
inference(resolution,[],[f11,f328]) ).
tff(f328,plain,
( ~ $less($sum(360,d(kiel,cologne)),90)
| spl0_24 ),
inference(avatar_component_clause,[],[f326]) ).
tff(f1944,plain,
( spl0_74
| spl0_75
| spl0_49 ),
inference(avatar_split_clause,[],[f1581,f893,f1781,f1777]) ).
tff(f1777,plain,
( spl0_74
<=> $less(420,$sum(d(berlin,saarbruecken),160)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_74])]) ).
tff(f1781,plain,
( spl0_75
<=> ( 420 = $sum(d(berlin,saarbruecken),160) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_75])]) ).
tff(f893,plain,
( spl0_49
<=> $less($sum(d(berlin,saarbruecken),160),420) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_49])]) ).
tff(f1581,plain,
( ( 420 = $sum(d(berlin,saarbruecken),160) )
| $less(420,$sum(d(berlin,saarbruecken),160))
| spl0_49 ),
inference(resolution,[],[f11,f895]) ).
tff(f895,plain,
( ~ $less($sum(d(berlin,saarbruecken),160),420)
| spl0_49 ),
inference(avatar_component_clause,[],[f893]) ).
tff(f1943,plain,
( spl0_106
| spl0_107
| spl0_53 ),
inference(avatar_split_clause,[],[f1672,f1209,f1939,f1935]) ).
tff(f1935,plain,
( spl0_106
<=> ( 510 = $sum(d(berlin,saarbruecken),360) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_106])]) ).
tff(f1939,plain,
( spl0_107
<=> $less(510,$sum(d(berlin,saarbruecken),360)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_107])]) ).
tff(f1209,plain,
( spl0_53
<=> $less($sum(d(berlin,saarbruecken),360),510) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_53])]) ).
tff(f1672,plain,
( $less(510,$sum(d(berlin,saarbruecken),360))
| ( 510 = $sum(d(berlin,saarbruecken),360) )
| spl0_53 ),
inference(resolution,[],[f11,f1211]) ).
tff(f1211,plain,
( ~ $less($sum(d(berlin,saarbruecken),360),510)
| spl0_53 ),
inference(avatar_component_clause,[],[f1209]) ).
tff(f1942,plain,
( spl0_106
| spl0_107
| spl0_53 ),
inference(avatar_split_clause,[],[f1590,f1209,f1939,f1935]) ).
tff(f1590,plain,
( $less(510,$sum(d(berlin,saarbruecken),360))
| ( 510 = $sum(d(berlin,saarbruecken),360) )
| spl0_53 ),
inference(resolution,[],[f11,f1211]) ).
tff(f1933,plain,
( spl0_92
| spl0_93
| spl0_19 ),
inference(avatar_split_clause,[],[f1640,f255,f1866,f1862]) ).
tff(f1862,plain,
( spl0_92
<=> $less(360,$sum(90,d(kiel,cologne))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_92])]) ).
tff(f1866,plain,
( spl0_93
<=> ( 360 = $sum(90,d(kiel,cologne)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_93])]) ).
tff(f255,plain,
( spl0_19
<=> $less($sum(90,d(kiel,cologne)),360) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_19])]) ).
tff(f1640,plain,
( ( 360 = $sum(90,d(kiel,cologne)) )
| $less(360,$sum(90,d(kiel,cologne)))
| spl0_19 ),
inference(resolution,[],[f11,f257]) ).
tff(f257,plain,
( ~ $less($sum(90,d(kiel,cologne)),360)
| spl0_19 ),
inference(avatar_component_clause,[],[f255]) ).
tff(f1932,plain,
( spl0_83
| spl0_82
| spl0_41 ),
inference(avatar_split_clause,[],[f1675,f707,f1814,f1818]) ).
tff(f1818,plain,
( spl0_83
<=> $less(300,$sum(d(hamburg,munich),390)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_83])]) ).
tff(f1814,plain,
( spl0_82
<=> ( 300 = $sum(d(hamburg,munich),390) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_82])]) ).
tff(f707,plain,
( spl0_41
<=> $less($sum(d(hamburg,munich),390),300) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_41])]) ).
tff(f1675,plain,
( ( 300 = $sum(d(hamburg,munich),390) )
| $less(300,$sum(d(hamburg,munich),390))
| spl0_41 ),
inference(resolution,[],[f11,f709]) ).
tff(f709,plain,
( ~ $less($sum(d(hamburg,munich),390),300)
| spl0_41 ),
inference(avatar_component_clause,[],[f707]) ).
tff(f1931,plain,
( spl0_104
| spl0_105
| spl0_28 ),
inference(avatar_split_clause,[],[f1550,f396,f1928,f1924]) ).
tff(f1550,plain,
( ( 510 = $sum(480,d(cologne,munich)) )
| $less(510,$sum(480,d(cologne,munich)))
| spl0_28 ),
inference(resolution,[],[f11,f398]) ).
tff(f1922,plain,
( spl0_84
| spl0_85
| spl0_23 ),
inference(avatar_split_clause,[],[f1565,f304,f1827,f1823]) ).
tff(f1823,plain,
( spl0_84
<=> ( 90 = $sum(250,d(kiel,berlin)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_84])]) ).
tff(f1827,plain,
( spl0_85
<=> $less(90,$sum(250,d(kiel,berlin))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_85])]) ).
tff(f304,plain,
( spl0_23
<=> $less($sum(250,d(kiel,berlin)),90) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_23])]) ).
tff(f1565,plain,
( $less(90,$sum(250,d(kiel,berlin)))
| ( 90 = $sum(250,d(kiel,berlin)) )
| spl0_23 ),
inference(resolution,[],[f11,f306]) ).
tff(f306,plain,
( ~ $less($sum(250,d(kiel,berlin)),90)
| spl0_23 ),
inference(avatar_component_clause,[],[f304]) ).
tff(f1921,plain,
( spl0_102
| spl0_103
| spl0_34 ),
inference(avatar_split_clause,[],[f1559,f509,f1918,f1914]) ).
tff(f1559,plain,
( ( 360 = $sum(190,d(cologne,munich)) )
| $less(360,$sum(190,d(cologne,munich)))
| spl0_34 ),
inference(resolution,[],[f11,f511]) ).
tff(f1912,plain,
( spl0_63
| spl0_62
| spl0_20 ),
inference(avatar_split_clause,[],[f1651,f260,f1723,f1727]) ).
tff(f1727,plain,
( spl0_63
<=> $less(250,$sum(90,d(kiel,berlin))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_63])]) ).
tff(f1723,plain,
( spl0_62
<=> ( 250 = $sum(90,d(kiel,berlin)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_62])]) ).
tff(f260,plain,
( spl0_20
<=> $less($sum(90,d(kiel,berlin)),250) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_20])]) ).
tff(f1651,plain,
( ( 250 = $sum(90,d(kiel,berlin)) )
| $less(250,$sum(90,d(kiel,berlin)))
| spl0_20 ),
inference(resolution,[],[f11,f262]) ).
tff(f262,plain,
( ~ $less($sum(90,d(kiel,berlin)),250)
| spl0_20 ),
inference(avatar_component_clause,[],[f260]) ).
tff(f1911,plain,
( spl0_59
| spl0_58
| spl0_38 ),
inference(avatar_split_clause,[],[f1670,f669,f1705,f1709]) ).
tff(f1709,plain,
( spl0_59
<=> ( 190 = $sum(d(hamburg,saarbruecken),360) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_59])]) ).
tff(f1705,plain,
( spl0_58
<=> $less(190,$sum(d(hamburg,saarbruecken),360)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_58])]) ).
tff(f669,plain,
( spl0_38
<=> $less($sum(d(hamburg,saarbruecken),360),190) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_38])]) ).
tff(f1670,plain,
( $less(190,$sum(d(hamburg,saarbruecken),360))
| ( 190 = $sum(d(hamburg,saarbruecken),360) )
| spl0_38 ),
inference(resolution,[],[f11,f671]) ).
tff(f671,plain,
( ~ $less($sum(d(hamburg,saarbruecken),360),190)
| spl0_38 ),
inference(avatar_component_clause,[],[f669]) ).
tff(f1910,plain,
( spl0_100
| spl0_101
| spl0_46 ),
inference(avatar_split_clause,[],[f1583,f850,f1907,f1903]) ).
tff(f1583,plain,
( $less(480,$sum(d(berlin,saarbruecken),190))
| ( 480 = $sum(d(berlin,saarbruecken),190) )
| spl0_46 ),
inference(resolution,[],[f11,f852]) ).
tff(f1901,plain,
( spl0_87
| spl0_86
| spl0_40 ),
inference(avatar_split_clause,[],[f1592,f700,f1832,f1836]) ).
tff(f1836,plain,
( spl0_87
<=> $less(160,$sum(d(hamburg,saarbruecken),390)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_87])]) ).
tff(f1832,plain,
( spl0_86
<=> ( 160 = $sum(d(hamburg,saarbruecken),390) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_86])]) ).
tff(f700,plain,
( spl0_40
<=> $less($sum(d(hamburg,saarbruecken),390),160) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_40])]) ).
tff(f1592,plain,
( ( 160 = $sum(d(hamburg,saarbruecken),390) )
| $less(160,$sum(d(hamburg,saarbruecken),390))
| spl0_40 ),
inference(resolution,[],[f11,f702]) ).
tff(f702,plain,
( ~ $less($sum(d(hamburg,saarbruecken),390),160)
| spl0_40 ),
inference(avatar_component_clause,[],[f700]) ).
tff(f1900,plain,
( spl0_73
| spl0_72
| spl0_44 ),
inference(avatar_split_clause,[],[f1656,f785,f1768,f1772]) ).
tff(f1772,plain,
( spl0_73
<=> ( 360 = $sum(d(berlin,saarbruecken),510) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_73])]) ).
tff(f1768,plain,
( spl0_72
<=> $less(360,$sum(d(berlin,saarbruecken),510)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_72])]) ).
tff(f785,plain,
( spl0_44
<=> $less($sum(d(berlin,saarbruecken),510),360) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_44])]) ).
tff(f1656,plain,
( $less(360,$sum(d(berlin,saarbruecken),510))
| ( 360 = $sum(d(berlin,saarbruecken),510) )
| spl0_44 ),
inference(resolution,[],[f11,f787]) ).
tff(f787,plain,
( ~ $less($sum(d(berlin,saarbruecken),510),360)
| spl0_44 ),
inference(avatar_component_clause,[],[f785]) ).
tff(f1899,plain,
( spl0_96
| spl0_97
| spl0_50 ),
inference(avatar_split_clause,[],[f1681,f922,f1884,f1880]) ).
tff(f1880,plain,
( spl0_96
<=> ( 150 = $sum(d(cologne,munich),300) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_96])]) ).
tff(f1884,plain,
( spl0_97
<=> $less(150,$sum(d(cologne,munich),300)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_97])]) ).
tff(f922,plain,
( spl0_50
<=> $less($sum(d(cologne,munich),300),150) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_50])]) ).
tff(f1681,plain,
( $less(150,$sum(d(cologne,munich),300))
| ( 150 = $sum(d(cologne,munich),300) )
| spl0_50 ),
inference(resolution,[],[f11,f924]) ).
tff(f924,plain,
( ~ $less($sum(d(cologne,munich),300),150)
| spl0_50 ),
inference(avatar_component_clause,[],[f922]) ).
tff(f1898,plain,
( spl0_60
| spl0_61
| spl0_42 ),
inference(avatar_split_clause,[],[f1576,f727,f1718,f1714]) ).
tff(f1714,plain,
( spl0_60
<=> $less(190,$sum(d(berlin,saarbruecken),480)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_60])]) ).
tff(f1718,plain,
( spl0_61
<=> ( 190 = $sum(d(berlin,saarbruecken),480) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_61])]) ).
tff(f727,plain,
( spl0_42
<=> $less($sum(d(berlin,saarbruecken),480),190) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_42])]) ).
tff(f1576,plain,
( ( 190 = $sum(d(berlin,saarbruecken),480) )
| $less(190,$sum(d(berlin,saarbruecken),480))
| spl0_42 ),
inference(resolution,[],[f11,f729]) ).
tff(f729,plain,
( ~ $less($sum(d(berlin,saarbruecken),480),190)
| spl0_42 ),
inference(avatar_component_clause,[],[f727]) ).
tff(f1897,plain,
( spl0_98
| spl0_99
| spl0_27 ),
inference(avatar_split_clause,[],[f1649,f372,f1894,f1890]) ).
tff(f1649,plain,
( $less(90,$sum(390,d(kiel,frankfurt)))
| ( 90 = $sum(390,d(kiel,frankfurt)) )
| spl0_27 ),
inference(resolution,[],[f11,f374]) ).
tff(f1888,plain,
( spl0_64
| spl0_65
| spl0_47 ),
inference(avatar_split_clause,[],[f1666,f855,f1736,f1732]) ).
tff(f1732,plain,
( spl0_64
<=> $less(360,$sum(d(hamburg,saarbruecken),190)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_64])]) ).
tff(f1736,plain,
( spl0_65
<=> ( 360 = $sum(d(hamburg,saarbruecken),190) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_65])]) ).
tff(f855,plain,
( spl0_47
<=> $less($sum(d(hamburg,saarbruecken),190),360) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_47])]) ).
tff(f1666,plain,
( ( 360 = $sum(d(hamburg,saarbruecken),190) )
| $less(360,$sum(d(hamburg,saarbruecken),190))
| spl0_47 ),
inference(resolution,[],[f11,f857]) ).
tff(f857,plain,
( ~ $less($sum(d(hamburg,saarbruecken),190),360)
| spl0_47 ),
inference(avatar_component_clause,[],[f855]) ).
tff(f1887,plain,
( spl0_96
| spl0_97
| spl0_50 ),
inference(avatar_split_clause,[],[f1599,f922,f1884,f1880]) ).
tff(f1599,plain,
( $less(150,$sum(d(cologne,munich),300))
| ( 150 = $sum(d(cologne,munich),300) )
| spl0_50 ),
inference(resolution,[],[f11,f924]) ).
tff(f1878,plain,
( spl0_94
| spl0_95
| spl0_32 ),
inference(avatar_split_clause,[],[f1634,f462,f1875,f1871]) ).
tff(f1634,plain,
( $less(480,$sum(510,d(cologne,munich)))
| ( 480 = $sum(510,d(cologne,munich)) )
| spl0_32 ),
inference(resolution,[],[f11,f464]) ).
tff(f1869,plain,
( spl0_92
| spl0_93
| spl0_19 ),
inference(avatar_split_clause,[],[f1558,f255,f1866,f1862]) ).
tff(f1558,plain,
( ( 360 = $sum(90,d(kiel,cologne)) )
| $less(360,$sum(90,d(kiel,cologne)))
| spl0_19 ),
inference(resolution,[],[f11,f257]) ).
tff(f1860,plain,
( spl0_79
| spl0_78
| spl0_21 ),
inference(avatar_split_clause,[],[f1644,f267,f1796,f1800]) ).
tff(f1800,plain,
( spl0_79
<=> ( 390 = $sum(90,d(kiel,frankfurt)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_79])]) ).
tff(f1796,plain,
( spl0_78
<=> $less(390,$sum(90,d(kiel,frankfurt))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_78])]) ).
tff(f267,plain,
( spl0_21
<=> $less($sum(90,d(kiel,frankfurt)),390) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_21])]) ).
tff(f1644,plain,
( $less(390,$sum(90,d(kiel,frankfurt)))
| ( 390 = $sum(90,d(kiel,frankfurt)) )
| spl0_21 ),
inference(resolution,[],[f11,f269]) ).
tff(f269,plain,
( ~ $less($sum(90,d(kiel,frankfurt)),390)
| spl0_21 ),
inference(avatar_component_clause,[],[f267]) ).
tff(f1859,plain,
( spl0_90
| spl0_91
| spl0_55 ),
inference(avatar_split_clause,[],[f1585,f1337,f1856,f1852]) ).
tff(f1585,plain,
( $less(360,$sum(d(cologne,munich),190))
| ( 360 = $sum(d(cologne,munich),190) )
| spl0_55 ),
inference(resolution,[],[f11,f1339]) ).
tff(f1850,plain,
( spl0_88
| spl0_89
| spl0_48 ),
inference(avatar_split_clause,[],[f1580,f885,f1847,f1843]) ).
tff(f1580,plain,
( $less(390,$sum(d(hamburg,saarbruecken),160))
| ( 390 = $sum(d(hamburg,saarbruecken),160) )
| spl0_48 ),
inference(resolution,[],[f11,f887]) ).
tff(f1841,plain,
( spl0_71
| spl0_70
| spl0_54 ),
inference(avatar_split_clause,[],[f1557,f1262,f1759,f1763]) ).
tff(f1763,plain,
( spl0_71
<=> $less(190,$sum(360,d(cologne,munich))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_71])]) ).
tff(f1759,plain,
( spl0_70
<=> ( 190 = $sum(360,d(cologne,munich)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_70])]) ).
tff(f1262,plain,
( spl0_54
<=> $less($sum(360,d(cologne,munich)),190) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_54])]) ).
tff(f1557,plain,
( ( 190 = $sum(360,d(cologne,munich)) )
| $less(190,$sum(360,d(cologne,munich)))
| spl0_54 ),
inference(resolution,[],[f11,f1264]) ).
tff(f1264,plain,
( ~ $less($sum(360,d(cologne,munich)),190)
| spl0_54 ),
inference(avatar_component_clause,[],[f1262]) ).
tff(f1840,plain,
( spl0_57
| spl0_56
| spl0_45 ),
inference(avatar_split_clause,[],[f1595,f816,f1696,f1700]) ).
tff(f1700,plain,
( spl0_57
<=> ( 300 = $sum(d(cologne,munich),150) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_57])]) ).
tff(f1696,plain,
( spl0_56
<=> $less(300,$sum(d(cologne,munich),150)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_56])]) ).
tff(f816,plain,
( spl0_45
<=> $less($sum(d(cologne,munich),150),300) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_45])]) ).
tff(f1595,plain,
( $less(300,$sum(d(cologne,munich),150))
| ( 300 = $sum(d(cologne,munich),150) )
| spl0_45 ),
inference(resolution,[],[f11,f818]) ).
tff(f818,plain,
( ~ $less($sum(d(cologne,munich),150),300)
| spl0_45 ),
inference(avatar_component_clause,[],[f816]) ).
tff(f1839,plain,
( spl0_86
| spl0_87
| spl0_40 ),
inference(avatar_split_clause,[],[f1674,f700,f1836,f1832]) ).
tff(f1674,plain,
( $less(160,$sum(d(hamburg,saarbruecken),390))
| ( 160 = $sum(d(hamburg,saarbruecken),390) )
| spl0_40 ),
inference(resolution,[],[f11,f702]) ).
tff(f1830,plain,
( spl0_84
| spl0_85
| spl0_23 ),
inference(avatar_split_clause,[],[f1647,f304,f1827,f1823]) ).
tff(f1647,plain,
( $less(90,$sum(250,d(kiel,berlin)))
| ( 90 = $sum(250,d(kiel,berlin)) )
| spl0_23 ),
inference(resolution,[],[f11,f306]) ).
tff(f1821,plain,
( spl0_82
| spl0_83
| spl0_41 ),
inference(avatar_split_clause,[],[f1593,f707,f1818,f1814]) ).
tff(f1593,plain,
( $less(300,$sum(d(hamburg,munich),390))
| ( 300 = $sum(d(hamburg,munich),390) )
| spl0_41 ),
inference(resolution,[],[f11,f709]) ).
tff(f1812,plain,
( spl0_80
| spl0_81
| spl0_52 ),
inference(avatar_split_clause,[],[f1671,f960,f1809,f1805]) ).
tff(f1671,plain,
( $less(190,$sum(d(cologne,munich),360))
| ( 190 = $sum(d(cologne,munich),360) )
| spl0_52 ),
inference(resolution,[],[f11,f962]) ).
tff(f1803,plain,
( spl0_78
| spl0_79
| spl0_21 ),
inference(avatar_split_clause,[],[f1562,f267,f1800,f1796]) ).
tff(f1562,plain,
( ( 390 = $sum(90,d(kiel,frankfurt)) )
| $less(390,$sum(90,d(kiel,frankfurt)))
| spl0_21 ),
inference(resolution,[],[f11,f269]) ).
tff(f1794,plain,
( spl0_67
| spl0_66
| spl0_43 ),
inference(avatar_split_clause,[],[f1578,f755,f1741,f1745]) ).
tff(f1745,plain,
( spl0_67
<=> $less(160,$sum(d(berlin,saarbruecken),420)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_67])]) ).
tff(f1741,plain,
( spl0_66
<=> ( 160 = $sum(d(berlin,saarbruecken),420) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_66])]) ).
tff(f755,plain,
( spl0_43
<=> $less($sum(d(berlin,saarbruecken),420),160) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_43])]) ).
tff(f1578,plain,
( ( 160 = $sum(d(berlin,saarbruecken),420) )
| $less(160,$sum(d(berlin,saarbruecken),420))
| spl0_43 ),
inference(resolution,[],[f11,f757]) ).
tff(f757,plain,
( ~ $less($sum(d(berlin,saarbruecken),420),160)
| spl0_43 ),
inference(avatar_component_clause,[],[f755]) ).
tff(f1793,plain,
( spl0_76
| spl0_77
| spl0_51 ),
inference(avatar_split_clause,[],[f1682,f927,f1790,f1786]) ).
tff(f1682,plain,
( ( 390 = $sum(d(hamburg,munich),300) )
| $less(390,$sum(d(hamburg,munich),300))
| spl0_51 ),
inference(resolution,[],[f11,f929]) ).
tff(f1784,plain,
( spl0_74
| spl0_75
| spl0_49 ),
inference(avatar_split_clause,[],[f1663,f893,f1781,f1777]) ).
tff(f1663,plain,
( ( 420 = $sum(d(berlin,saarbruecken),160) )
| $less(420,$sum(d(berlin,saarbruecken),160))
| spl0_49 ),
inference(resolution,[],[f11,f895]) ).
tff(f1775,plain,
( spl0_72
| spl0_73
| spl0_44 ),
inference(avatar_split_clause,[],[f1574,f785,f1772,f1768]) ).
tff(f1574,plain,
( ( 360 = $sum(d(berlin,saarbruecken),510) )
| $less(360,$sum(d(berlin,saarbruecken),510))
| spl0_44 ),
inference(resolution,[],[f11,f787]) ).
tff(f1766,plain,
( spl0_70
| spl0_71
| spl0_54 ),
inference(avatar_split_clause,[],[f1639,f1262,f1763,f1759]) ).
tff(f1639,plain,
( $less(190,$sum(360,d(cologne,munich)))
| ( 190 = $sum(360,d(cologne,munich)) )
| spl0_54 ),
inference(resolution,[],[f11,f1264]) ).
tff(f1757,plain,
( spl0_68
| spl0_69
| spl0_24 ),
inference(avatar_split_clause,[],[f1566,f326,f1754,f1750]) ).
tff(f1566,plain,
( ( 90 = $sum(360,d(kiel,cologne)) )
| $less(90,$sum(360,d(kiel,cologne)))
| spl0_24 ),
inference(resolution,[],[f11,f328]) ).
tff(f1748,plain,
( spl0_66
| spl0_67
| spl0_43 ),
inference(avatar_split_clause,[],[f1660,f755,f1745,f1741]) ).
tff(f1660,plain,
( $less(160,$sum(d(berlin,saarbruecken),420))
| ( 160 = $sum(d(berlin,saarbruecken),420) )
| spl0_43 ),
inference(resolution,[],[f11,f757]) ).
tff(f1739,plain,
( spl0_64
| spl0_65
| spl0_47 ),
inference(avatar_split_clause,[],[f1584,f855,f1736,f1732]) ).
tff(f1584,plain,
( ( 360 = $sum(d(hamburg,saarbruecken),190) )
| $less(360,$sum(d(hamburg,saarbruecken),190))
| spl0_47 ),
inference(resolution,[],[f11,f857]) ).
tff(f1730,plain,
( spl0_62
| spl0_63
| spl0_20 ),
inference(avatar_split_clause,[],[f1569,f260,f1727,f1723]) ).
tff(f1569,plain,
( $less(250,$sum(90,d(kiel,berlin)))
| ( 250 = $sum(90,d(kiel,berlin)) )
| spl0_20 ),
inference(resolution,[],[f11,f262]) ).
tff(f1721,plain,
( spl0_60
| spl0_61
| spl0_42 ),
inference(avatar_split_clause,[],[f1658,f727,f1718,f1714]) ).
tff(f1658,plain,
( ( 190 = $sum(d(berlin,saarbruecken),480) )
| $less(190,$sum(d(berlin,saarbruecken),480))
| spl0_42 ),
inference(resolution,[],[f11,f729]) ).
tff(f1712,plain,
( spl0_58
| spl0_59
| spl0_38 ),
inference(avatar_split_clause,[],[f1588,f669,f1709,f1705]) ).
tff(f1588,plain,
( ( 190 = $sum(d(hamburg,saarbruecken),360) )
| $less(190,$sum(d(hamburg,saarbruecken),360))
| spl0_38 ),
inference(resolution,[],[f11,f671]) ).
tff(f1703,plain,
( spl0_56
| spl0_57
| spl0_45 ),
inference(avatar_split_clause,[],[f1677,f816,f1700,f1696]) ).
tff(f1677,plain,
( ( 300 = $sum(d(cologne,munich),150) )
| $less(300,$sum(d(cologne,munich),150))
| spl0_45 ),
inference(resolution,[],[f11,f818]) ).
tff(f1340,plain,
( ~ spl0_55
| ~ spl0_10
| ~ spl0_14 ),
inference(avatar_split_clause,[],[f1335,f121,f81,f1337]) ).
tff(f1335,plain,
( ~ $less($sum(d(cologne,munich),190),360)
| ~ spl0_10
| ~ spl0_14 ),
inference(forward_demodulation,[],[f1331,f24]) ).
tff(f1331,plain,
( ~ $less($sum(d(munich,cologne),190),360)
| ~ spl0_10
| ~ spl0_14 ),
inference(superposition,[],[f204,f123]) ).
tff(f1265,plain,
( ~ spl0_54
| ~ spl0_3
| ~ spl0_17 ),
inference(avatar_split_clause,[],[f1260,f136,f46,f1262]) ).
tff(f1260,plain,
( ~ $less($sum(360,d(cologne,munich)),190)
| ~ spl0_3
| ~ spl0_17 ),
inference(forward_demodulation,[],[f1242,f24]) ).
tff(f1242,plain,
( ~ $less($sum(360,d(munich,cologne)),190)
| ~ spl0_3
| ~ spl0_17 ),
inference(superposition,[],[f201,f138]) ).
tff(f1212,plain,
( ~ spl0_53
| ~ spl0_12
| ~ spl0_17 ),
inference(avatar_split_clause,[],[f1204,f136,f91,f1209]) ).
tff(f1204,plain,
( ~ $less($sum(d(berlin,saarbruecken),360),510)
| ~ spl0_12
| ~ spl0_17 ),
inference(superposition,[],[f199,f138]) ).
tff(f963,plain,
( ~ spl0_52
| ~ spl0_10
| ~ spl0_14 ),
inference(avatar_split_clause,[],[f947,f121,f81,f960]) ).
tff(f947,plain,
( ~ $less($sum(d(cologne,munich),360),190)
| ~ spl0_10
| ~ spl0_14 ),
inference(superposition,[],[f189,f123]) ).
tff(f930,plain,
( ~ spl0_51
| ~ spl0_9
| ~ spl0_11 ),
inference(avatar_split_clause,[],[f909,f86,f76,f927]) ).
tff(f76,plain,
( spl0_9
<=> ( d(munich,frankfurt) = 300 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).
tff(f909,plain,
( ~ $less($sum(d(hamburg,munich),300),390)
| ~ spl0_9
| ~ spl0_11 ),
inference(superposition,[],[f188,f88]) ).
tff(f188,plain,
( ! [X18: city] : ~ $less($sum(d(X18,munich),300),d(X18,frankfurt))
| ~ spl0_9 ),
inference(superposition,[],[f30,f78]) ).
tff(f78,plain,
( ( d(munich,frankfurt) = 300 )
| ~ spl0_9 ),
inference(avatar_component_clause,[],[f76]) ).
tff(f925,plain,
( ~ spl0_50
| ~ spl0_4
| ~ spl0_9 ),
inference(avatar_split_clause,[],[f911,f76,f51,f922]) ).
tff(f911,plain,
( ~ $less($sum(d(cologne,munich),300),150)
| ~ spl0_4
| ~ spl0_9 ),
inference(superposition,[],[f188,f53]) ).
tff(f896,plain,
( ~ spl0_49
| ~ spl0_7
| ~ spl0_8 ),
inference(avatar_split_clause,[],[f871,f71,f66,f893]) ).
tff(f871,plain,
( ~ $less($sum(d(berlin,saarbruecken),160),420)
| ~ spl0_7
| ~ spl0_8 ),
inference(superposition,[],[f187,f73]) ).
tff(f187,plain,
( ! [X17: city] : ~ $less($sum(d(X17,saarbruecken),160),d(X17,frankfurt))
| ~ spl0_7 ),
inference(superposition,[],[f30,f68]) ).
tff(f888,plain,
( ~ spl0_48
| ~ spl0_7
| ~ spl0_11 ),
inference(avatar_split_clause,[],[f870,f86,f66,f885]) ).
tff(f870,plain,
( ~ $less($sum(d(hamburg,saarbruecken),160),390)
| ~ spl0_7
| ~ spl0_11 ),
inference(superposition,[],[f187,f88]) ).
tff(f858,plain,
( ~ spl0_47
| ~ spl0_3
| ~ spl0_13 ),
inference(avatar_split_clause,[],[f836,f96,f46,f855]) ).
tff(f836,plain,
( ~ $less($sum(d(hamburg,saarbruecken),190),360)
| ~ spl0_3
| ~ spl0_13 ),
inference(superposition,[],[f186,f98]) ).
tff(f853,plain,
( ~ spl0_46
| ~ spl0_2
| ~ spl0_3 ),
inference(avatar_split_clause,[],[f837,f46,f41,f850]) ).
tff(f837,plain,
( ~ $less($sum(d(berlin,saarbruecken),190),480)
| ~ spl0_2
| ~ spl0_3 ),
inference(superposition,[],[f186,f43]) ).
tff(f819,plain,
( ~ spl0_45
| ~ spl0_4
| ~ spl0_9 ),
inference(avatar_split_clause,[],[f814,f76,f51,f816]) ).
tff(f814,plain,
( ~ $less($sum(d(cologne,munich),150),300)
| ~ spl0_4
| ~ spl0_9 ),
inference(forward_demodulation,[],[f804,f24]) ).
tff(f804,plain,
( ~ $less($sum(d(munich,cologne),150),300)
| ~ spl0_4
| ~ spl0_9 ),
inference(superposition,[],[f185,f78]) ).
tff(f788,plain,
( ~ spl0_44
| ~ spl0_12
| ~ spl0_17 ),
inference(avatar_split_clause,[],[f783,f136,f91,f785]) ).
tff(f783,plain,
( ~ $less($sum(d(berlin,saarbruecken),510),360)
| ~ spl0_12
| ~ spl0_17 ),
inference(forward_demodulation,[],[f776,f24]) ).
tff(f776,plain,
( ~ $less($sum(d(saarbruecken,berlin),510),360)
| ~ spl0_12
| ~ spl0_17 ),
inference(superposition,[],[f184,f138]) ).
tff(f758,plain,
( ~ spl0_43
| ~ spl0_7
| ~ spl0_8 ),
inference(avatar_split_clause,[],[f753,f71,f66,f755]) ).
tff(f753,plain,
( ~ $less($sum(d(berlin,saarbruecken),420),160)
| ~ spl0_7
| ~ spl0_8 ),
inference(forward_demodulation,[],[f747,f24]) ).
tff(f747,plain,
( ~ $less($sum(d(saarbruecken,berlin),420),160)
| ~ spl0_7
| ~ spl0_8 ),
inference(superposition,[],[f183,f68]) ).
tff(f183,plain,
( ! [X13: city] : ~ $less($sum(d(X13,berlin),420),d(X13,frankfurt))
| ~ spl0_8 ),
inference(superposition,[],[f30,f73]) ).
tff(f730,plain,
( ~ spl0_42
| ~ spl0_2
| ~ spl0_3 ),
inference(avatar_split_clause,[],[f725,f46,f41,f727]) ).
tff(f725,plain,
( ~ $less($sum(d(berlin,saarbruecken),480),190)
| ~ spl0_2
| ~ spl0_3 ),
inference(forward_demodulation,[],[f722,f24]) ).
tff(f722,plain,
( ~ $less($sum(d(saarbruecken,berlin),480),190)
| ~ spl0_2
| ~ spl0_3 ),
inference(superposition,[],[f182,f48]) ).
tff(f710,plain,
( ~ spl0_41
| ~ spl0_9
| ~ spl0_11 ),
inference(avatar_split_clause,[],[f705,f86,f76,f707]) ).
tff(f705,plain,
( ~ $less($sum(d(hamburg,munich),390),300)
| ~ spl0_9
| ~ spl0_11 ),
inference(forward_demodulation,[],[f685,f24]) ).
tff(f685,plain,
( ~ $less($sum(d(munich,hamburg),390),300)
| ~ spl0_9
| ~ spl0_11 ),
inference(superposition,[],[f181,f78]) ).
tff(f703,plain,
( ~ spl0_40
| ~ spl0_7
| ~ spl0_11 ),
inference(avatar_split_clause,[],[f698,f86,f66,f700]) ).
tff(f698,plain,
( ~ $less($sum(d(hamburg,saarbruecken),390),160)
| ~ spl0_7
| ~ spl0_11 ),
inference(forward_demodulation,[],[f684,f24]) ).
tff(f684,plain,
( ~ $less($sum(d(saarbruecken,hamburg),390),160)
| ~ spl0_7
| ~ spl0_11 ),
inference(superposition,[],[f181,f68]) ).
tff(f692,plain,
( ~ spl0_39
| ~ spl0_11
| ~ spl0_16 ),
inference(avatar_split_clause,[],[f687,f131,f86,f689]) ).
tff(f689,plain,
( spl0_39
<=> $less(480,d(kiel,frankfurt)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_39])]) ).
tff(f687,plain,
( ~ $less(480,d(kiel,frankfurt))
| ~ spl0_11
| ~ spl0_16 ),
inference(evaluation,[],[f677]) ).
tff(f677,plain,
( ~ $less($sum(90,390),d(kiel,frankfurt))
| ~ spl0_11
| ~ spl0_16 ),
inference(superposition,[],[f181,f133]) ).
tff(f672,plain,
( ~ spl0_38
| ~ spl0_3
| ~ spl0_13 ),
inference(avatar_split_clause,[],[f667,f96,f46,f669]) ).
tff(f667,plain,
( ~ $less($sum(d(hamburg,saarbruecken),360),190)
| ~ spl0_3
| ~ spl0_13 ),
inference(forward_demodulation,[],[f654,f24]) ).
tff(f654,plain,
( ~ $less($sum(d(saarbruecken,hamburg),360),190)
| ~ spl0_3
| ~ spl0_13 ),
inference(superposition,[],[f180,f48]) ).
tff(f664,plain,
( ~ spl0_37
| ~ spl0_13
| ~ spl0_16 ),
inference(avatar_split_clause,[],[f656,f131,f96,f661]) ).
tff(f661,plain,
( spl0_37
<=> $less(450,d(kiel,cologne)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_37])]) ).
tff(f656,plain,
( ~ $less(450,d(kiel,cologne))
| ~ spl0_13
| ~ spl0_16 ),
inference(evaluation,[],[f648]) ).
tff(f648,plain,
( ~ $less($sum(90,360),d(kiel,cologne))
| ~ spl0_13
| ~ spl0_16 ),
inference(superposition,[],[f180,f133]) ).
tff(f640,plain,
( ~ spl0_36
| ~ spl0_6
| ~ spl0_16 ),
inference(avatar_split_clause,[],[f635,f131,f61,f637]) ).
tff(f637,plain,
( spl0_36
<=> $less(340,d(kiel,berlin)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_36])]) ).
tff(f635,plain,
( ~ $less(340,d(kiel,berlin))
| ~ spl0_6
| ~ spl0_16 ),
inference(evaluation,[],[f629]) ).
tff(f629,plain,
( ~ $less($sum(90,250),d(kiel,berlin))
| ~ spl0_6
| ~ spl0_16 ),
inference(superposition,[],[f179,f133]) ).
tff(f584,plain,
( ~ spl0_35
| ~ spl0_3
| ~ spl0_10 ),
inference(avatar_split_clause,[],[f579,f81,f46,f581]) ).
tff(f581,plain,
( spl0_35
<=> $less(550,d(cologne,munich)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_35])]) ).
tff(f579,plain,
( ~ $less(550,d(cologne,munich))
| ~ spl0_3
| ~ spl0_10 ),
inference(forward_demodulation,[],[f574,f24]) ).
tff(f574,plain,
( ~ $less(550,d(munich,cologne))
| ~ spl0_3
| ~ spl0_10 ),
inference(evaluation,[],[f561]) ).
tff(f561,plain,
( ~ $less($sum(360,190),d(munich,cologne))
| ~ spl0_3
| ~ spl0_10 ),
inference(superposition,[],[f174,f48]) ).
tff(f512,plain,
( ~ spl0_34
| ~ spl0_3
| ~ spl0_17 ),
inference(avatar_split_clause,[],[f497,f136,f46,f509]) ).
tff(f497,plain,
( ~ $less($sum(190,d(cologne,munich)),360)
| ~ spl0_3
| ~ spl0_17 ),
inference(superposition,[],[f171,f138]) ).
tff(f487,plain,
( ~ spl0_33
| ~ spl0_4
| ~ spl0_18 ),
inference(avatar_split_clause,[],[f476,f143,f51,f484]) ).
tff(f484,plain,
( spl0_33
<=> $less(450,d(cologne,munich)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_33])]) ).
tff(f476,plain,
( ~ $less(450,d(cologne,munich))
| ~ spl0_4
| ~ spl0_18 ),
inference(evaluation,[],[f467]) ).
tff(f467,plain,
( ~ $less($sum(150,300),d(cologne,munich))
| ~ spl0_4
| ~ spl0_18 ),
inference(superposition,[],[f170,f145]) ).
tff(f465,plain,
( ~ spl0_32
| ~ spl0_2
| ~ spl0_12 ),
inference(avatar_split_clause,[],[f460,f91,f41,f462]) ).
tff(f460,plain,
( ~ $less($sum(510,d(cologne,munich)),480)
| ~ spl0_2
| ~ spl0_12 ),
inference(forward_demodulation,[],[f439,f24]) ).
tff(f439,plain,
( ~ $less($sum(510,d(munich,cologne)),480)
| ~ spl0_2
| ~ spl0_12 ),
inference(superposition,[],[f169,f43]) ).
tff(f457,plain,
( ~ spl0_31
| ~ spl0_10
| ~ spl0_12 ),
inference(avatar_split_clause,[],[f447,f91,f81,f454]) ).
tff(f454,plain,
( spl0_31
<=> $less(870,d(berlin,saarbruecken)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_31])]) ).
tff(f447,plain,
( ~ $less(870,d(berlin,saarbruecken))
| ~ spl0_10
| ~ spl0_12 ),
inference(evaluation,[],[f435]) ).
tff(f435,plain,
( ~ $less($sum(510,360),d(berlin,saarbruecken))
| ~ spl0_10
| ~ spl0_12 ),
inference(superposition,[],[f169,f83]) ).
tff(f427,plain,
( ~ spl0_30
| ~ spl0_8
| ~ spl0_15 ),
inference(avatar_split_clause,[],[f419,f126,f71,f424]) ).
tff(f424,plain,
( spl0_30
<=> $less(580,d(berlin,saarbruecken)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_30])]) ).
tff(f419,plain,
( ~ $less(580,d(berlin,saarbruecken))
| ~ spl0_8
| ~ spl0_15 ),
inference(evaluation,[],[f407]) ).
tff(f407,plain,
( ~ $less($sum(420,160),d(berlin,saarbruecken))
| ~ spl0_8
| ~ spl0_15 ),
inference(superposition,[],[f168,f128]) ).
tff(f405,plain,
( ~ spl0_29
| ~ spl0_2
| ~ spl0_14 ),
inference(avatar_split_clause,[],[f388,f121,f41,f402]) ).
tff(f402,plain,
( spl0_29
<=> $less(670,d(berlin,saarbruecken)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_29])]) ).
tff(f388,plain,
( ~ $less(670,d(berlin,saarbruecken))
| ~ spl0_2
| ~ spl0_14 ),
inference(evaluation,[],[f378]) ).
tff(f378,plain,
( ~ $less($sum(480,190),d(berlin,saarbruecken))
| ~ spl0_2
| ~ spl0_14 ),
inference(superposition,[],[f167,f123]) ).
tff(f399,plain,
( ~ spl0_28
| ~ spl0_2
| ~ spl0_12 ),
inference(avatar_split_clause,[],[f384,f91,f41,f396]) ).
tff(f384,plain,
( ~ $less($sum(480,d(cologne,munich)),510)
| ~ spl0_2
| ~ spl0_12 ),
inference(superposition,[],[f167,f93]) ).
tff(f375,plain,
( ~ spl0_27
| ~ spl0_1
| ~ spl0_11 ),
inference(avatar_split_clause,[],[f370,f86,f36,f372]) ).
tff(f370,plain,
( ~ $less($sum(390,d(kiel,frankfurt)),90)
| ~ spl0_1
| ~ spl0_11 ),
inference(forward_demodulation,[],[f348,f24]) ).
tff(f348,plain,
( ~ $less($sum(390,d(frankfurt,kiel)),90)
| ~ spl0_1
| ~ spl0_11 ),
inference(superposition,[],[f166,f38]) ).
tff(f364,plain,
( ~ spl0_26
| ~ spl0_11
| ~ spl0_18 ),
inference(avatar_split_clause,[],[f357,f143,f86,f361]) ).
tff(f361,plain,
( spl0_26
<=> $less(690,d(hamburg,munich)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_26])]) ).
tff(f357,plain,
( ~ $less(690,d(hamburg,munich))
| ~ spl0_11
| ~ spl0_18 ),
inference(evaluation,[],[f344]) ).
tff(f344,plain,
( ~ $less($sum(390,300),d(hamburg,munich))
| ~ spl0_11
| ~ spl0_18 ),
inference(superposition,[],[f166,f145]) ).
tff(f342,plain,
( ~ spl0_25
| ~ spl0_13
| ~ spl0_14 ),
inference(avatar_split_clause,[],[f321,f121,f96,f339]) ).
tff(f339,plain,
( spl0_25
<=> $less(550,d(hamburg,saarbruecken)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_25])]) ).
tff(f321,plain,
( ~ $less(550,d(hamburg,saarbruecken))
| ~ spl0_13
| ~ spl0_14 ),
inference(evaluation,[],[f310]) ).
tff(f310,plain,
( ~ $less($sum(360,190),d(hamburg,saarbruecken))
| ~ spl0_13
| ~ spl0_14 ),
inference(superposition,[],[f165,f123]) ).
tff(f329,plain,
( ~ spl0_24
| ~ spl0_1
| ~ spl0_13 ),
inference(avatar_split_clause,[],[f324,f96,f36,f326]) ).
tff(f324,plain,
( ~ $less($sum(360,d(kiel,cologne)),90)
| ~ spl0_1
| ~ spl0_13 ),
inference(forward_demodulation,[],[f314,f24]) ).
tff(f314,plain,
( ~ $less($sum(360,d(cologne,kiel)),90)
| ~ spl0_1
| ~ spl0_13 ),
inference(superposition,[],[f165,f38]) ).
tff(f307,plain,
( ~ spl0_23
| ~ spl0_1
| ~ spl0_6 ),
inference(avatar_split_clause,[],[f302,f61,f36,f304]) ).
tff(f302,plain,
( ~ $less($sum(250,d(kiel,berlin)),90)
| ~ spl0_1
| ~ spl0_6 ),
inference(forward_demodulation,[],[f279,f24]) ).
tff(f279,plain,
( ~ $less($sum(250,d(berlin,kiel)),90)
| ~ spl0_1
| ~ spl0_6 ),
inference(superposition,[],[f164,f38]) ).
tff(f301,plain,
( ~ spl0_22
| ~ spl0_6
| ~ spl0_12 ),
inference(avatar_split_clause,[],[f287,f91,f61,f298]) ).
tff(f298,plain,
( spl0_22
<=> $less(760,d(hamburg,munich)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_22])]) ).
tff(f287,plain,
( ~ $less(760,d(hamburg,munich))
| ~ spl0_6
| ~ spl0_12 ),
inference(evaluation,[],[f275]) ).
tff(f275,plain,
( ~ $less($sum(250,510),d(hamburg,munich))
| ~ spl0_6
| ~ spl0_12 ),
inference(superposition,[],[f164,f93]) ).
tff(f270,plain,
( ~ spl0_21
| ~ spl0_1
| ~ spl0_11 ),
inference(avatar_split_clause,[],[f247,f86,f36,f267]) ).
tff(f247,plain,
( ~ $less($sum(90,d(kiel,frankfurt)),390)
| ~ spl0_1
| ~ spl0_11 ),
inference(superposition,[],[f163,f88]) ).
tff(f263,plain,
( ~ spl0_20
| ~ spl0_1
| ~ spl0_6 ),
inference(avatar_split_clause,[],[f245,f61,f36,f260]) ).
tff(f245,plain,
( ~ $less($sum(90,d(kiel,berlin)),250)
| ~ spl0_1
| ~ spl0_6 ),
inference(superposition,[],[f163,f63]) ).
tff(f258,plain,
( ~ spl0_19
| ~ spl0_1
| ~ spl0_13 ),
inference(avatar_split_clause,[],[f246,f96,f36,f255]) ).
tff(f246,plain,
( ~ $less($sum(90,d(kiel,cologne)),360)
| ~ spl0_1
| ~ spl0_13 ),
inference(superposition,[],[f163,f98]) ).
tff(f159,plain,
( spl0_18
| ~ spl0_9 ),
inference(avatar_split_clause,[],[f108,f76,f143]) ).
tff(f108,plain,
( ( 300 = d(frankfurt,munich) )
| ~ spl0_9 ),
inference(superposition,[],[f24,f78]) ).
tff(f158,plain,
( spl0_18
| ~ spl0_9 ),
inference(avatar_split_clause,[],[f103,f76,f143]) ).
tff(f103,plain,
( ( 300 = d(frankfurt,munich) )
| ~ spl0_9 ),
inference(superposition,[],[f24,f78]) ).
tff(f157,plain,
( spl0_17
| ~ spl0_10 ),
inference(avatar_split_clause,[],[f104,f81,f136]) ).
tff(f104,plain,
( ( 360 = d(saarbruecken,munich) )
| ~ spl0_10 ),
inference(superposition,[],[f24,f83]) ).
tff(f156,plain,
( spl0_16
| ~ spl0_1 ),
inference(avatar_split_clause,[],[f100,f36,f131]) ).
tff(f100,plain,
( ( 90 = d(kiel,hamburg) )
| ~ spl0_1 ),
inference(superposition,[],[f24,f38]) ).
tff(f155,plain,
( spl0_18
| ~ spl0_9 ),
inference(avatar_split_clause,[],[f118,f76,f143]) ).
tff(f118,plain,
( ( 300 = d(frankfurt,munich) )
| ~ spl0_9 ),
inference(superposition,[],[f78,f24]) ).
tff(f154,plain,
( spl0_14
| ~ spl0_3 ),
inference(avatar_split_clause,[],[f106,f46,f121]) ).
tff(f106,plain,
( ( 190 = d(cologne,saarbruecken) )
| ~ spl0_3 ),
inference(superposition,[],[f24,f48]) ).
tff(f153,plain,
( spl0_14
| ~ spl0_3 ),
inference(avatar_split_clause,[],[f116,f46,f121]) ).
tff(f116,plain,
( ( 190 = d(cologne,saarbruecken) )
| ~ spl0_3 ),
inference(superposition,[],[f48,f24]) ).
tff(f152,plain,
( spl0_14
| ~ spl0_3 ),
inference(avatar_split_clause,[],[f111,f46,f121]) ).
tff(f111,plain,
( ( 190 = d(cologne,saarbruecken) )
| ~ spl0_3 ),
inference(superposition,[],[f48,f24]) ).
tff(f151,plain,
( spl0_17
| ~ spl0_10 ),
inference(avatar_split_clause,[],[f114,f81,f136]) ).
tff(f114,plain,
( ( 360 = d(saarbruecken,munich) )
| ~ spl0_10 ),
inference(superposition,[],[f83,f24]) ).
tff(f150,plain,
( spl0_15
| ~ spl0_7 ),
inference(avatar_split_clause,[],[f117,f66,f126]) ).
tff(f117,plain,
( ( 160 = d(frankfurt,saarbruecken) )
| ~ spl0_7 ),
inference(superposition,[],[f68,f24]) ).
tff(f149,plain,
( spl0_15
| ~ spl0_7 ),
inference(avatar_split_clause,[],[f107,f66,f126]) ).
tff(f107,plain,
( ( 160 = d(frankfurt,saarbruecken) )
| ~ spl0_7 ),
inference(superposition,[],[f24,f68]) ).
tff(f148,plain,
( spl0_15
| ~ spl0_7 ),
inference(avatar_split_clause,[],[f102,f66,f126]) ).
tff(f102,plain,
( ( 160 = d(frankfurt,saarbruecken) )
| ~ spl0_7 ),
inference(superposition,[],[f24,f68]) ).
tff(f147,plain,
( spl0_16
| ~ spl0_1 ),
inference(avatar_split_clause,[],[f115,f36,f131]) ).
tff(f115,plain,
( ( 90 = d(kiel,hamburg) )
| ~ spl0_1 ),
inference(superposition,[],[f38,f24]) ).
tff(f146,plain,
( spl0_18
| ~ spl0_9 ),
inference(avatar_split_clause,[],[f113,f76,f143]) ).
tff(f113,plain,
( ( 300 = d(frankfurt,munich) )
| ~ spl0_9 ),
inference(superposition,[],[f78,f24]) ).
tff(f141,plain,
( spl0_17
| ~ spl0_10 ),
inference(avatar_split_clause,[],[f109,f81,f136]) ).
tff(f109,plain,
( ( 360 = d(saarbruecken,munich) )
| ~ spl0_10 ),
inference(superposition,[],[f24,f83]) ).
tff(f140,plain,
( spl0_16
| ~ spl0_1 ),
inference(avatar_split_clause,[],[f110,f36,f131]) ).
tff(f110,plain,
( ( 90 = d(kiel,hamburg) )
| ~ spl0_1 ),
inference(superposition,[],[f38,f24]) ).
tff(f139,plain,
( spl0_17
| ~ spl0_10 ),
inference(avatar_split_clause,[],[f119,f81,f136]) ).
tff(f119,plain,
( ( 360 = d(saarbruecken,munich) )
| ~ spl0_10 ),
inference(superposition,[],[f83,f24]) ).
tff(f134,plain,
( spl0_16
| ~ spl0_1 ),
inference(avatar_split_clause,[],[f105,f36,f131]) ).
tff(f105,plain,
( ( 90 = d(kiel,hamburg) )
| ~ spl0_1 ),
inference(superposition,[],[f24,f38]) ).
tff(f129,plain,
( spl0_15
| ~ spl0_7 ),
inference(avatar_split_clause,[],[f112,f66,f126]) ).
tff(f112,plain,
( ( 160 = d(frankfurt,saarbruecken) )
| ~ spl0_7 ),
inference(superposition,[],[f68,f24]) ).
tff(f124,plain,
( spl0_14
| ~ spl0_3 ),
inference(avatar_split_clause,[],[f101,f46,f121]) ).
tff(f101,plain,
( ( 190 = d(cologne,saarbruecken) )
| ~ spl0_3 ),
inference(superposition,[],[f24,f48]) ).
tff(f99,plain,
spl0_13,
inference(avatar_split_clause,[],[f31,f96]) ).
tff(f31,plain,
d(hamburg,cologne) = 360,
inference(cnf_transformation,[],[f18]) ).
tff(f94,plain,
spl0_12,
inference(avatar_split_clause,[],[f26,f91]) ).
tff(f26,plain,
d(berlin,munich) = 510,
inference(cnf_transformation,[],[f18]) ).
tff(f89,plain,
spl0_11,
inference(avatar_split_clause,[],[f19,f86]) ).
tff(f19,plain,
d(hamburg,frankfurt) = 390,
inference(cnf_transformation,[],[f18]) ).
tff(f84,plain,
spl0_10,
inference(avatar_split_clause,[],[f28,f81]) ).
tff(f28,plain,
360 = d(munich,saarbruecken),
inference(cnf_transformation,[],[f18]) ).
tff(f79,plain,
spl0_9,
inference(avatar_split_clause,[],[f27,f76]) ).
tff(f27,plain,
d(munich,frankfurt) = 300,
inference(cnf_transformation,[],[f18]) ).
tff(f74,plain,
spl0_8,
inference(avatar_split_clause,[],[f32,f71]) ).
tff(f32,plain,
d(berlin,frankfurt) = 420,
inference(cnf_transformation,[],[f18]) ).
tff(f69,plain,
spl0_7,
inference(avatar_split_clause,[],[f34,f66]) ).
tff(f34,plain,
d(saarbruecken,frankfurt) = 160,
inference(cnf_transformation,[],[f18]) ).
tff(f64,plain,
spl0_6,
inference(avatar_split_clause,[],[f25,f61]) ).
tff(f25,plain,
d(hamburg,berlin) = 250,
inference(cnf_transformation,[],[f18]) ).
tff(f59,plain,
spl0_5,
inference(avatar_split_clause,[],[f33,f56]) ).
tff(f33,plain,
$less(640,d(kiel,saarbruecken)),
inference(cnf_transformation,[],[f18]) ).
tff(f54,plain,
spl0_4,
inference(avatar_split_clause,[],[f29,f51]) ).
tff(f29,plain,
d(cologne,frankfurt) = 150,
inference(cnf_transformation,[],[f18]) ).
tff(f49,plain,
spl0_3,
inference(avatar_split_clause,[],[f22,f46]) ).
tff(f22,plain,
d(saarbruecken,cologne) = 190,
inference(cnf_transformation,[],[f18]) ).
tff(f44,plain,
spl0_2,
inference(avatar_split_clause,[],[f20,f41]) ).
tff(f20,plain,
d(berlin,cologne) = 480,
inference(cnf_transformation,[],[f18]) ).
tff(f39,plain,
spl0_1,
inference(avatar_split_clause,[],[f21,f36]) ).
tff(f21,plain,
d(hamburg,kiel) = 90,
inference(cnf_transformation,[],[f18]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : GEG023=1 : TPTP v8.1.0. Bugfixed v5.2.0.
% 0.08/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.14/0.35 % Computer : n029.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 : Mon Aug 29 21:02:26 EDT 2022
% 0.14/0.35 % CPUTime :
% 0.20/0.49 % (30638)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 0.20/0.49 % (30638)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.20/0.49 % (30638)Terminated due to inappropriate strategy.
% 0.20/0.49 % (30638)------------------------------
% 0.20/0.49 % (30638)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.49 % (30638)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.49 % (30638)Termination reason: Inappropriate
% 0.20/0.49
% 0.20/0.49 % (30638)Memory used [KB]: 895
% 0.20/0.49 % (30638)Time elapsed: 0.002 s
% 0.20/0.49 % (30638)Instructions burned: 1 (million)
% 0.20/0.49 % (30638)------------------------------
% 0.20/0.49 % (30638)------------------------------
% 0.20/0.50 % (30628)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.20/0.51 % (30623)ott+4_1:1_av=off:bd=off:nwc=5.0:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.20/0.51 % (30647)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.20/0.51 % (30631)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.20/0.51 % (30636)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=75:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/75Mi)
% 0.20/0.52 % (30627)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.52 % (30627)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.20/0.52 % (30627)Terminated due to inappropriate strategy.
% 0.20/0.52 % (30627)------------------------------
% 0.20/0.52 % (30627)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.52 % (30627)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.52 % (30627)Termination reason: Inappropriate
% 0.20/0.52
% 0.20/0.52 % (30627)Memory used [KB]: 895
% 0.20/0.52 % (30627)Time elapsed: 0.001 s
% 0.20/0.52 % (30627)------------------------------
% 0.20/0.52 % (30627)------------------------------
% 0.20/0.52 % (30632)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.20/0.52 % (30639)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.20/0.53 % (30628)Instruction limit reached!
% 0.20/0.53 % (30628)------------------------------
% 0.20/0.53 % (30628)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.53 % (30628)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.53 % (30628)Termination reason: Unknown
% 0.20/0.53 % (30628)Termination phase: Saturation
% 0.20/0.53
% 0.20/0.53 % (30628)Memory used [KB]: 5500
% 0.20/0.53 % (30628)Time elapsed: 0.090 s
% 0.20/0.53 % (30628)Instructions burned: 7 (million)
% 0.20/0.53 % (30628)------------------------------
% 0.20/0.53 % (30628)------------------------------
% 0.20/0.53 % (30629)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.20/0.53 % (30629)Instruction limit reached!
% 0.20/0.53 % (30629)------------------------------
% 0.20/0.53 % (30629)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.53 % (30629)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.53 % (30629)Termination reason: Unknown
% 0.20/0.53 % (30629)Termination phase: Saturation
% 0.20/0.53
% 0.20/0.53 % (30629)Memory used [KB]: 5373
% 0.20/0.53 % (30629)Time elapsed: 0.002 s
% 0.20/0.53 % (30629)Instructions burned: 2 (million)
% 0.20/0.53 % (30629)------------------------------
% 0.20/0.53 % (30629)------------------------------
% 0.20/0.53 % (30630)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.53 % (30625)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.54 % (30621)fmb+10_1:1_bce=on:fmbsr=1.5:nm=4:skr=on:i=191324:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/191324Mi)
% 0.20/0.54 % (30626)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/48Mi)
% 0.20/0.54 % (30624)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.54 % (30622)ott+10_1:32_abs=on:br=off:urr=ec_only:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.20/0.54 % (30645)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=498:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/498Mi)
% 0.20/0.54 % (30635)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 0.20/0.54 % (30642)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.20/0.54 % (30621)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.20/0.54 % (30621)Terminated due to inappropriate strategy.
% 0.20/0.54 % (30621)------------------------------
% 0.20/0.54 % (30621)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.54 % (30621)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.54 % (30621)Termination reason: Inappropriate
% 0.20/0.54
% 0.20/0.54 % (30621)Memory used [KB]: 895
% 0.20/0.54 % (30621)Time elapsed: 0.003 s
% 0.20/0.54 % (30621)Instructions burned: 2 (million)
% 0.20/0.54 % (30621)------------------------------
% 0.20/0.54 % (30621)------------------------------
% 0.20/0.54 % (30651)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.20/0.55 % (30640)ott+4_1:1_av=off:bd=off:nwc=5.0:rp=on:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.20/0.55 % (30634)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.20/0.55 % (30637)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.20/0.55 % (30641)ott+10_1:8_bsd=on:fsd=on:lcm=predicate:nwc=5.0:s2a=on:s2at=1.5:spb=goal_then_units:i=176:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/176Mi)
% 0.20/0.55 % (30650)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=177:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/177Mi)
% 0.20/0.55 % (30633)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.20/0.56 % (30646)ott+11_1:1_drc=off:nwc=5.0:slsq=on:slsqc=1:spb=goal_then_units:to=lpo:i=467:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/467Mi)
% 0.20/0.56 % (30649)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 0.20/0.56 % (30652)ott+10_7:2_awrs=decay:awrsf=8:bd=preordered:drc=off:fd=preordered:fde=unused:fsr=off:slsq=on:slsqc=2:slsqr=5,8:sp=const_min:spb=units:to=lpo:i=355:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/355Mi)
% 0.20/0.57 % (30648)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.20/0.58 % (30715)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=388:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/388Mi)
% 0.20/0.58 % (30631)Instruction limit reached!
% 0.20/0.58 % (30631)------------------------------
% 0.20/0.58 % (30631)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.58 % (30623)Instruction limit reached!
% 0.20/0.58 % (30623)------------------------------
% 0.20/0.58 % (30623)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.58 % (30623)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.58 % (30623)Termination reason: Unknown
% 0.20/0.58 % (30623)Termination phase: Saturation
% 0.20/0.58
% 0.20/0.58 % (30623)Memory used [KB]: 1407
% 0.20/0.58 % (30623)Time elapsed: 0.186 s
% 0.20/0.58 % (30623)Instructions burned: 37 (million)
% 0.20/0.58 % (30623)------------------------------
% 0.20/0.58 % (30623)------------------------------
% 0.20/0.60 % (30631)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.60 % (30631)Termination reason: Unknown
% 0.20/0.60 % (30631)Termination phase: Saturation
% 0.20/0.60
% 0.20/0.60 % (30631)Memory used [KB]: 6396
% 0.20/0.60 % (30631)Time elapsed: 0.181 s
% 0.20/0.60 % (30631)Instructions burned: 51 (million)
% 0.20/0.60 % (30631)------------------------------
% 0.20/0.60 % (30631)------------------------------
% 1.92/0.61 % (30625)Instruction limit reached!
% 1.92/0.61 % (30625)------------------------------
% 1.92/0.61 % (30625)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.92/0.61 % (30625)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.92/0.61 % (30625)Termination reason: Unknown
% 1.92/0.61 % (30625)Termination phase: Saturation
% 1.92/0.61
% 1.92/0.61 % (30625)Memory used [KB]: 6268
% 1.92/0.61 % (30625)Time elapsed: 0.216 s
% 1.92/0.61 % (30625)Instructions burned: 52 (million)
% 1.92/0.61 % (30625)------------------------------
% 1.92/0.61 % (30625)------------------------------
% 1.92/0.62 % (30630)Instruction limit reached!
% 1.92/0.62 % (30630)------------------------------
% 1.92/0.62 % (30630)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.92/0.62 % (30624)Instruction limit reached!
% 1.92/0.62 % (30624)------------------------------
% 1.92/0.62 % (30624)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.92/0.62 % (30630)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.92/0.62 % (30630)Termination reason: Unknown
% 1.92/0.62 % (30630)Termination phase: Saturation
% 1.92/0.62
% 1.92/0.62 % (30630)Memory used [KB]: 1663
% 1.92/0.62 % (30630)Time elapsed: 0.222 s
% 1.92/0.62 % (30630)Instructions burned: 52 (million)
% 1.92/0.62 % (30630)------------------------------
% 1.92/0.62 % (30630)------------------------------
% 1.92/0.62 % (30624)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.92/0.62 % (30636)Instruction limit reached!
% 1.92/0.62 % (30636)------------------------------
% 1.92/0.62 % (30636)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.92/0.62 % (30636)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.92/0.62 % (30636)Termination reason: Unknown
% 1.92/0.62 % (30636)Termination phase: Saturation
% 1.92/0.62
% 1.92/0.62 % (30636)Memory used [KB]: 1918
% 1.92/0.62 % (30636)Time elapsed: 0.176 s
% 1.92/0.62 % (30636)Instructions burned: 76 (million)
% 1.92/0.62 % (30636)------------------------------
% 1.92/0.62 % (30636)------------------------------
% 1.92/0.62 % (30624)Termination reason: Unknown
% 1.92/0.62 % (30624)Termination phase: Saturation
% 1.92/0.62
% 1.92/0.62 % (30624)Memory used [KB]: 6140
% 1.92/0.62 % (30624)Time elapsed: 0.206 s
% 1.92/0.62 % (30624)Instructions burned: 51 (million)
% 1.92/0.62 % (30624)------------------------------
% 1.92/0.62 % (30624)------------------------------
% 2.11/0.63 % (30626)Instruction limit reached!
% 2.11/0.63 % (30626)------------------------------
% 2.11/0.63 % (30626)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.11/0.63 % (30626)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.11/0.63 % (30626)Termination reason: Unknown
% 2.11/0.63 % (30626)Termination phase: Saturation
% 2.11/0.63
% 2.11/0.63 % (30626)Memory used [KB]: 5884
% 2.11/0.63 % (30626)Time elapsed: 0.225 s
% 2.11/0.63 % (30626)Instructions burned: 48 (million)
% 2.11/0.63 % (30626)------------------------------
% 2.11/0.63 % (30626)------------------------------
% 2.19/0.64 % (30734)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=211:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/211Mi)
% 2.19/0.65 % (30622)Instruction limit reached!
% 2.19/0.65 % (30622)------------------------------
% 2.19/0.65 % (30622)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.19/0.65 % (30622)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.19/0.65 % (30622)Termination reason: Unknown
% 2.19/0.65 % (30622)Termination phase: Saturation
% 2.19/0.65
% 2.19/0.65 % (30622)Memory used [KB]: 6268
% 2.19/0.65 % (30622)Time elapsed: 0.239 s
% 2.19/0.65 % (30622)Instructions burned: 50 (million)
% 2.19/0.65 % (30622)------------------------------
% 2.19/0.65 % (30622)------------------------------
% 2.19/0.65 % (30635)Instruction limit reached!
% 2.19/0.65 % (30635)------------------------------
% 2.19/0.65 % (30635)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.19/0.65 % (30635)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.19/0.65 % (30635)Termination reason: Unknown
% 2.19/0.65 % (30635)Termination phase: Saturation
% 2.19/0.65
% 2.19/0.65 % (30635)Memory used [KB]: 6652
% 2.19/0.65 % (30635)Time elapsed: 0.051 s
% 2.19/0.65 % (30635)Instructions burned: 70 (million)
% 2.19/0.65 % (30635)------------------------------
% 2.19/0.65 % (30635)------------------------------
% 2.19/0.66 % (30742)ott+1_1:2_i=920:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/920Mi)
% 2.19/0.66 % (30740)dis+22_1:128_bsd=on:rp=on:slsq=on:slsqc=1:slsqr=1,6:sp=frequency:spb=goal:thsq=on:thsqc=16:thsqd=1:thsql=off:i=90:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/90Mi)
% 2.19/0.67 % (30649)Instruction limit reached!
% 2.19/0.67 % (30649)------------------------------
% 2.19/0.67 % (30649)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.19/0.68 % (30749)ott+1_1:7_bd=off:i=934:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/934Mi)
% 2.19/0.68 % (30649)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.19/0.69 % (30649)Termination reason: Unknown
% 2.19/0.69 % (30649)Termination phase: Saturation
% 2.19/0.69
% 2.19/0.69 % (30649)Memory used [KB]: 6652
% 2.19/0.69 % (30649)Time elapsed: 0.036 s
% 2.19/0.69 % (30649)Instructions burned: 68 (million)
% 2.19/0.69 % (30649)------------------------------
% 2.19/0.69 % (30649)------------------------------
% 2.19/0.69 % (30632)Instruction limit reached!
% 2.19/0.69 % (30632)------------------------------
% 2.19/0.69 % (30632)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.19/0.69 % (30639)Instruction limit reached!
% 2.19/0.69 % (30639)------------------------------
% 2.19/0.69 % (30639)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.19/0.69 % (30640)Instruction limit reached!
% 2.19/0.69 % (30640)------------------------------
% 2.19/0.69 % (30640)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.19/0.69 % (30639)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.19/0.69 % (30639)Termination reason: Unknown
% 2.19/0.69 % (30639)Termination phase: Saturation
% 2.19/0.69
% 2.19/0.69 % (30639)Memory used [KB]: 6780
% 2.19/0.69 % (30639)Time elapsed: 0.290 s
% 2.19/0.69 % (30639)Instructions burned: 102 (million)
% 2.19/0.69 % (30639)------------------------------
% 2.19/0.69 % (30639)------------------------------
% 2.19/0.69 % (30632)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.19/0.69 % (30632)Termination reason: Unknown
% 2.19/0.69 % (30632)Termination phase: Saturation
% 2.19/0.69
% 2.19/0.69 % (30632)Memory used [KB]: 6780
% 2.19/0.69 % (30632)Time elapsed: 0.289 s
% 2.19/0.69 % (30632)Instructions burned: 100 (million)
% 2.19/0.69 % (30632)------------------------------
% 2.19/0.69 % (30632)------------------------------
% 2.19/0.70 % (30784)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=655:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/655Mi)
% 2.65/0.71 % (30640)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.65/0.71 % (30640)Termination reason: Unknown
% 2.65/0.71 % (30640)Termination phase: Saturation
% 2.65/0.71
% 2.65/0.71 % (30640)Memory used [KB]: 1791
% 2.65/0.71 % (30640)Time elapsed: 0.289 s
% 2.65/0.71 % (30640)Instructions burned: 101 (million)
% 2.65/0.71 % (30640)------------------------------
% 2.65/0.71 % (30640)------------------------------
% 2.65/0.71 % (30773)ott+10_1:50_bsr=unit_only:drc=off:fd=preordered:sp=frequency:i=747:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/747Mi)
% 2.65/0.73 % (30796)dis+22_1:128_bsd=on:rp=on:slsq=on:slsqc=1:slsqr=1,6:sp=frequency:spb=goal:thsq=on:thsqc=16:thsqd=1:thsql=off:i=90:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/90Mi)
% 2.65/0.73 % (30789)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/68Mi)
% 2.65/0.74 % (30634)Instruction limit reached!
% 2.65/0.74 % (30634)------------------------------
% 2.65/0.74 % (30634)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.65/0.74 % (30793)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=940:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/940Mi)
% 2.65/0.74 % (30634)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.65/0.74 % (30634)Termination reason: Unknown
% 2.65/0.74 % (30634)Termination phase: Saturation
% 2.65/0.74
% 2.65/0.74 % (30634)Memory used [KB]: 6908
% 2.65/0.74 % (30634)Time elapsed: 0.339 s
% 2.65/0.74 % (30634)Instructions burned: 99 (million)
% 2.65/0.74 % (30634)------------------------------
% 2.65/0.74 % (30634)------------------------------
% 2.65/0.74 % (30637)Instruction limit reached!
% 2.65/0.74 % (30637)------------------------------
% 2.65/0.74 % (30637)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.65/0.74 % (30637)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.65/0.74 % (30637)Termination reason: Unknown
% 2.65/0.74 % (30637)Termination phase: Saturation
% 2.65/0.74
% 2.65/0.74 % (30637)Memory used [KB]: 6396
% 2.65/0.74 % (30637)Time elapsed: 0.329 s
% 2.65/0.74 % (30637)Instructions burned: 99 (million)
% 2.65/0.74 % (30637)------------------------------
% 2.65/0.74 % (30637)------------------------------
% 2.65/0.74 % (30633)Instruction limit reached!
% 2.65/0.74 % (30633)------------------------------
% 2.65/0.74 % (30633)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.65/0.74 % (30633)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.65/0.74 % (30633)Termination reason: Unknown
% 2.65/0.74 % (30633)Termination phase: Saturation
% 2.65/0.74
% 2.65/0.74 % (30633)Memory used [KB]: 6652
% 2.65/0.74 % (30633)Time elapsed: 0.341 s
% 2.65/0.74 % (30633)Instructions burned: 101 (million)
% 2.65/0.74 % (30633)------------------------------
% 2.65/0.74 % (30633)------------------------------
% 2.65/0.76 WARNING Broken Constraint: if sine_depth(2) has been set then sine_selection(off) is not equal to off
% 2.65/0.76 % (30797)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=2016:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/2016Mi)
% 2.65/0.76 % (30795)ott+11_4:1_br=off:fde=none:s2a=on:sd=2:sp=frequency:urr=on:i=981:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/981Mi)
% 2.97/0.78 % (30806)dis+10_1:2_atotf=0.3:i=3735:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/3735Mi)
% 2.97/0.78 % (30808)ott+11_9:8_add=large:afp=10:amm=off:fsd=on:fsr=off:lma=on:nm=0:nwc=2.4:s2a=on:s2agt=10:sas=z3:sp=reverse_arity:tha=some:thi=overlap:i=4958:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/4958Mi)
% 2.97/0.79 % (30642)Instruction limit reached!
% 2.97/0.79 % (30642)------------------------------
% 2.97/0.79 % (30642)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.97/0.79 % (30642)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.97/0.79 % (30642)Termination reason: Unknown
% 2.97/0.79 % (30642)Termination phase: Saturation
% 2.97/0.79
% 2.97/0.79 % (30642)Memory used [KB]: 7291
% 2.97/0.79 % (30642)Time elapsed: 0.379 s
% 2.97/0.79 % (30642)Instructions burned: 139 (million)
% 2.97/0.79 % (30642)------------------------------
% 2.97/0.79 % (30642)------------------------------
% 2.97/0.80 % (30740)Instruction limit reached!
% 2.97/0.80 % (30740)------------------------------
% 2.97/0.80 % (30740)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.97/0.80 % (30740)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.97/0.80 % (30740)Termination reason: Unknown
% 2.97/0.80 % (30740)Termination phase: Saturation
% 2.97/0.80
% 2.97/0.80 % (30740)Memory used [KB]: 6780
% 2.97/0.80 % (30740)Time elapsed: 0.235 s
% 2.97/0.80 % (30740)Instructions burned: 91 (million)
% 2.97/0.80 % (30740)------------------------------
% 2.97/0.80 % (30740)------------------------------
% 2.97/0.81 % (30809)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=4959:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/4959Mi)
% 2.97/0.82 % (30650)Instruction limit reached!
% 2.97/0.82 % (30650)------------------------------
% 2.97/0.82 % (30650)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.97/0.82 % (30650)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.97/0.82 % (30650)Termination reason: Unknown
% 2.97/0.82 % (30650)Termination phase: Saturation
% 2.97/0.82
% 2.97/0.82 % (30650)Memory used [KB]: 3198
% 2.97/0.82 % (30650)Time elapsed: 0.424 s
% 2.97/0.82 % (30650)Instructions burned: 178 (million)
% 2.97/0.82 % (30650)------------------------------
% 2.97/0.82 % (30650)------------------------------
% 2.97/0.82 % (30814)ott+10_1:1_kws=precedence:tgt=ground:i=4756:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/4756Mi)
% 2.97/0.83 % (30815)ott+3_1:1_atotf=0.2:fsr=off:kws=precedence:sp=weighted_frequency:spb=intro:tgt=ground:i=4931:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/4931Mi)
% 2.97/0.84 % (30641)Instruction limit reached!
% 2.97/0.84 % (30641)------------------------------
% 2.97/0.84 % (30641)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.97/0.84 % (30641)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.97/0.84 % (30641)Termination reason: Unknown
% 2.97/0.84 % (30641)Termination phase: Saturation
% 2.97/0.84
% 2.97/0.84 % (30641)Memory used [KB]: 7675
% 2.97/0.84 % (30641)Time elapsed: 0.409 s
% 2.97/0.84 % (30641)Instructions burned: 177 (million)
% 2.97/0.84 % (30641)------------------------------
% 2.97/0.84 % (30641)------------------------------
% 2.97/0.85 % (30821)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/68Mi)
% 2.97/0.86 % (30789)Instruction limit reached!
% 2.97/0.86 % (30789)------------------------------
% 2.97/0.86 % (30789)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.97/0.86 % (30789)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.97/0.86 % (30789)Termination reason: Unknown
% 2.97/0.86 % (30789)Termination phase: Saturation
% 2.97/0.86
% 2.97/0.86 % (30789)Memory used [KB]: 6652
% 2.97/0.86 % (30789)Time elapsed: 0.037 s
% 2.97/0.86 % (30789)Instructions burned: 68 (million)
% 2.97/0.86 % (30789)------------------------------
% 2.97/0.86 % (30789)------------------------------
% 3.37/0.87 % (30830)ott+11_9:8_amm=off:bsd=on:etr=on:fsd=on:fsr=off:lma=on:newcnf=on:nm=0:nwc=3.0:s2a=on:s2agt=10:sas=z3:tha=some:i=1824:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/1824Mi)
% 3.37/0.87 % (30831)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=2134:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/2134Mi)
% 3.37/0.88 % (30832)ott-1_1:1_sp=const_frequency:i=2891:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/2891Mi)
% 3.37/0.89 % (30796)Instruction limit reached!
% 3.37/0.89 % (30796)------------------------------
% 3.37/0.89 % (30796)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.37/0.89 % (30796)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.37/0.89 % (30796)Termination reason: Unknown
% 3.37/0.89 % (30796)Termination phase: Saturation
% 3.37/0.89
% 3.37/0.89 % (30796)Memory used [KB]: 6780
% 3.37/0.89 % (30796)Time elapsed: 0.227 s
% 3.37/0.89 % (30796)Instructions burned: 92 (million)
% 3.37/0.89 % (30796)------------------------------
% 3.37/0.89 % (30796)------------------------------
% 3.53/0.92 % (30847)dis+2_1:64_add=large:bce=on:bd=off:i=4585:si=on:rawr=on:rtra=on_0 on theBenchmark for (2995ds/4585Mi)
% 3.65/0.94 % (30821)Instruction limit reached!
% 3.65/0.94 % (30821)------------------------------
% 3.65/0.94 % (30821)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.65/0.94 % (30851)dis+22_1:128_bsd=on:rp=on:slsq=on:slsqc=1:slsqr=1,6:sp=frequency:spb=goal:thsq=on:thsqc=16:thsqd=1:thsql=off:i=90:si=on:rawr=on:rtra=on_0 on theBenchmark for (2995ds/90Mi)
% 3.65/0.94 % (30821)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.65/0.94 % (30821)Termination reason: Unknown
% 3.65/0.94 % (30821)Termination phase: Saturation
% 3.65/0.94
% 3.65/0.94 % (30821)Memory used [KB]: 6652
% 3.65/0.94 % (30821)Time elapsed: 0.031 s
% 3.65/0.94 % (30821)Instructions burned: 70 (million)
% 3.65/0.94 % (30821)------------------------------
% 3.65/0.94 % (30821)------------------------------
% 3.65/0.95 % (30857)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=2016:si=on:rawr=on:rtra=on_0 on theBenchmark for (2995ds/2016Mi)
% 3.65/0.96 % (30734)Instruction limit reached!
% 3.65/0.96 % (30734)------------------------------
% 3.65/0.96 % (30734)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.65/0.96 % (30734)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.65/0.96 % (30734)Termination reason: Unknown
% 3.65/0.96 % (30734)Termination phase: Saturation
% 3.65/0.96
% 3.65/0.96 % (30734)Memory used [KB]: 3070
% 3.65/0.96 % (30734)Time elapsed: 0.394 s
% 3.65/0.96 % (30734)Instructions burned: 212 (million)
% 3.65/0.96 % (30734)------------------------------
% 3.65/0.96 % (30734)------------------------------
% 3.65/0.97 % (30874)dis+10_1:2_atotf=0.3:i=8004:si=on:rawr=on:rtra=on_0 on theBenchmark for (2995ds/8004Mi)
% 3.65/0.97 % (30883)ott+11_9:8_add=large:afp=10:amm=off:fsd=on:fsr=off:lma=on:nm=0:nwc=2.4:s2a=on:s2agt=10:sas=z3:sp=reverse_arity:tha=some:thi=overlap:i=9965:si=on:rawr=on:rtra=on_0 on theBenchmark for (2994ds/9965Mi)
% 3.95/1.02 % (30894)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=9877:si=on:rawr=on:rtra=on_0 on theBenchmark for (2994ds/9877Mi)
% 3.95/1.07 % (30895)ins+10_1:16_bce=on:fde=unused:igpr=on:igs=35:igwr=on:sp=const_frequency:tgt=full:to=lpo:i=9902:si=on:rawr=on:rtra=on_0 on theBenchmark for (2994ds/9902Mi)
% 3.95/1.07 % (30896)ott+11_9:8_amm=off:bsd=on:etr=on:fsd=on:fsr=off:lma=on:newcnf=on:nm=0:nwc=3.0:s2a=on:s2agt=10:sas=z3:tha=some:i=1824:si=on:rawr=on:rtra=on_0 on theBenchmark for (2993ds/1824Mi)
% 4.13/1.09 % (30851)Instruction limit reached!
% 4.13/1.09 % (30851)------------------------------
% 4.13/1.09 % (30851)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 4.13/1.10 % (30652)Instruction limit reached!
% 4.13/1.10 % (30652)------------------------------
% 4.13/1.10 % (30652)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 4.13/1.10 % (30652)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 4.13/1.10 % (30652)Termination reason: Unknown
% 4.13/1.10 % (30652)Termination phase: Saturation
% 4.13/1.10
% 4.13/1.10 % (30652)Memory used [KB]: 10106
% 4.13/1.10 % (30652)Time elapsed: 0.696 s
% 4.13/1.10 % (30652)Instructions burned: 355 (million)
% 4.13/1.10 % (30652)------------------------------
% 4.13/1.10 % (30652)------------------------------
% 4.13/1.10 % (30851)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 4.13/1.10 % (30851)Termination reason: Unknown
% 4.13/1.10 % (30851)Termination phase: Saturation
% 4.13/1.10
% 4.13/1.10 % (30851)Memory used [KB]: 6652
% 4.13/1.10 % (30851)Time elapsed: 0.258 s
% 4.13/1.10 % (30851)Instructions burned: 90 (million)
% 4.13/1.10 % (30851)------------------------------
% 4.13/1.10 % (30851)------------------------------
% 6.67/1.22 % (30651)Instruction limit reached!
% 6.67/1.22 % (30651)------------------------------
% 6.67/1.22 % (30651)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 6.67/1.23 % (30898)ott-11_1:32_i=9707:si=on:rawr=on:rtra=on_0 on theBenchmark for (2992ds/9707Mi)
% 6.67/1.23 % (30651)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 6.67/1.23 % (30651)Termination reason: Unknown
% 6.67/1.23 % (30651)Termination phase: Saturation
% 6.67/1.23
% 6.67/1.23 % (30651)Memory used [KB]: 10874
% 6.67/1.23 % (30651)Time elapsed: 0.798 s
% 6.67/1.23 % (30651)Instructions burned: 439 (million)
% 6.67/1.23 % (30651)------------------------------
% 6.67/1.23 % (30651)------------------------------
% 6.67/1.23 % (30645)Instruction limit reached!
% 6.67/1.23 % (30645)------------------------------
% 6.67/1.23 % (30645)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 6.67/1.23 % (30645)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 6.67/1.23 % (30645)Termination reason: Unknown
% 6.67/1.23 % (30645)Termination phase: Saturation
% 6.67/1.23
% 6.67/1.23 % (30645)Memory used [KB]: 4605
% 6.67/1.23 % (30645)Time elapsed: 0.822 s
% 6.67/1.23 % (30645)Instructions burned: 500 (million)
% 6.67/1.23 % (30645)------------------------------
% 6.67/1.23 % (30645)------------------------------
% 6.91/1.24 % (30897)dis+2_1:64_add=large:bce=on:bd=off:i=9989:si=on:rawr=on:rtra=on_0 on theBenchmark for (2992ds/9989Mi)
% 6.91/1.27 % (30715)Instruction limit reached!
% 6.91/1.27 % (30715)------------------------------
% 6.91/1.27 % (30715)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 6.91/1.29 % (30647)Instruction limit reached!
% 6.91/1.29 % (30647)------------------------------
% 6.91/1.29 % (30647)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 6.91/1.29 % (30647)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 6.91/1.29 % (30647)Termination reason: Unknown
% 6.91/1.29 % (30647)Termination phase: Saturation
% 6.91/1.29
% 6.91/1.29 % (30647)Memory used [KB]: 9083
% 6.91/1.29 % (30647)Time elapsed: 0.790 s
% 6.91/1.29 % (30647)Instructions burned: 483 (million)
% 6.91/1.29 % (30647)------------------------------
% 6.91/1.29 % (30647)------------------------------
% 6.91/1.29 % (30715)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 6.91/1.29 % (30715)Termination reason: Unknown
% 6.91/1.29 % (30715)Termination phase: Saturation
% 6.91/1.29
% 6.91/1.29 % (30715)Memory used [KB]: 8059
% 6.91/1.29 % (30715)Time elapsed: 0.753 s
% 6.91/1.29 % (30715)Instructions burned: 389 (million)
% 6.91/1.29 % (30715)------------------------------
% 6.91/1.29 % (30715)------------------------------
% 7.66/1.33 % (30646)Instruction limit reached!
% 7.66/1.33 % (30646)------------------------------
% 7.66/1.33 % (30646)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 7.66/1.33 % (30646)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 7.66/1.33 % (30646)Termination reason: Unknown
% 7.66/1.33 % (30646)Termination phase: Saturation
% 7.66/1.33
% 7.66/1.33 % (30646)Memory used [KB]: 9083
% 7.66/1.33 % (30646)Time elapsed: 0.916 s
% 7.66/1.33 % (30646)Instructions burned: 467 (million)
% 7.66/1.33 % (30646)------------------------------
% 7.66/1.33 % (30646)------------------------------
% 7.66/1.34 % (30900)ott+3_1:1_abs=on:anc=none:bs=on:fsr=off:spb=goal_then_units:i=44001:si=on:rawr=on:rtra=on_0 on theBenchmark for (2991ds/44001Mi)
% 7.66/1.37 % (30899)dis+22_1:128_bsd=on:rp=on:slsq=on:slsqc=1:slsqr=1,6:sp=frequency:spb=goal:thsq=on:thsqc=16:thsqd=1:thsql=off:i=90:si=on:rawr=on:rtra=on_0 on theBenchmark for (2991ds/90Mi)
% 7.66/1.38 % (30648)Instruction limit reached!
% 7.66/1.38 % (30648)------------------------------
% 7.66/1.38 % (30648)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 7.66/1.38 % (30648)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 7.66/1.38 % (30648)Termination reason: Unknown
% 7.66/1.38 % (30648)Termination phase: Saturation
% 7.66/1.38
% 7.66/1.38 % (30648)Memory used [KB]: 10746
% 7.66/1.38 % (30648)Time elapsed: 0.953 s
% 7.66/1.38 % (30648)Instructions burned: 500 (million)
% 7.66/1.38 % (30648)------------------------------
% 7.66/1.38 % (30648)------------------------------
% 8.06/1.40 % (30901)ott+11_9:8_add=large:afp=10:amm=off:fsd=on:fsr=off:lma=on:nm=0:nwc=2.4:s2a=on:s2agt=10:sas=z3:sp=reverse_arity:tha=some:thi=overlap:i=4958:si=on:rawr=on:rtra=on_0 on theBenchmark for (2990ds/4958Mi)
% 8.06/1.42 % (30902)ott+1_27:428_av=off:awrs=converge:awrsf=8:bsr=unit_only:drc=off:fd=preordered:newcnf=on:nwc=1.5:skr=on:slsq=on:slsqc=2:slsql=off:slsqr=1,4:sp=reverse_frequency:uwa=one_side_constant:i=35256:si=on:rawr=on:rtra=on_0 on theBenchmark for (2990ds/35256Mi)
% 8.53/1.47 % (30903)dis+1002_1:1_fde=unused:nwc=10.0:s2a=on:s2at=3.0:sac=on:i=32293:si=on:rawr=on:rtra=on_0 on theBenchmark for (2990ds/32293Mi)
% 8.53/1.48 % (30904)ott+21_1:28_afr=on:anc=all_dependent:bs=on:bsr=unit_only:nicw=on:sp=const_frequency:uhcvi=on:i=37001:si=on:rawr=on:rtra=on_0 on theBenchmark for (2989ds/37001Mi)
% 8.76/1.50 % (30899)Instruction limit reached!
% 8.76/1.50 % (30899)------------------------------
% 8.76/1.50 % (30899)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 8.76/1.50 % (30899)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 8.76/1.50 % (30899)Termination reason: Unknown
% 8.76/1.50 % (30899)Termination phase: Saturation
% 8.76/1.50
% 8.76/1.50 % (30899)Memory used [KB]: 6652
% 8.76/1.50 % (30899)Time elapsed: 0.244 s
% 8.76/1.50 % (30899)Instructions burned: 91 (million)
% 8.76/1.50 % (30899)------------------------------
% 8.76/1.50 % (30899)------------------------------
% 9.03/1.59 % (30784)Instruction limit reached!
% 9.03/1.59 % (30784)------------------------------
% 9.03/1.59 % (30784)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 9.03/1.61 % (30784)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 9.03/1.61 % (30784)Termination reason: Unknown
% 9.03/1.61 % (30784)Termination phase: Saturation
% 9.03/1.61
% 9.03/1.61 % (30784)Memory used [KB]: 5884
% 9.03/1.61 % (30784)Time elapsed: 0.946 s
% 9.03/1.61 % (30784)Instructions burned: 656 (million)
% 9.03/1.61 % (30784)------------------------------
% 9.03/1.61 % (30784)------------------------------
% 9.67/1.64 % (30905)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=10187:si=on:rawr=on:rtra=on_0 on theBenchmark for (2988ds/10187Mi)
% 10.02/1.74 % (30906)ott+3_1:1_atotf=0.2:fsr=off:kws=precedence:sp=weighted_frequency:spb=intro:tgt=ground:i=29337:si=on:rawr=on:rtra=on_0 on theBenchmark for (2987ds/29337Mi)
% 12.32/1.94 % (30830)First to succeed.
% 12.83/2.00 % (30830)Refutation found. Thanks to Tanya!
% 12.83/2.00 % SZS status Theorem for theBenchmark
% 12.83/2.00 % SZS output start Proof for theBenchmark
% See solution above
% 12.83/2.00 % (30830)------------------------------
% 12.83/2.00 % (30830)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 12.83/2.00 % (30830)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 12.83/2.00 % (30830)Termination reason: Refutation
% 12.83/2.00
% 12.83/2.00 % (30830)Memory used [KB]: 6268
% 12.83/2.00 % (30830)Time elapsed: 1.136 s
% 12.83/2.00 % (30830)Instructions burned: 752 (million)
% 12.83/2.00 % (30830)------------------------------
% 12.83/2.00 % (30830)------------------------------
% 12.83/2.00 % (30618)Success in time 1.635 s
%------------------------------------------------------------------------------