TSTP Solution File: GEG021_1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : GEG021_1 : TPTP v8.2.0. Bugfixed v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n019.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Mon May 20 19:57:13 EDT 2024
% Result : Theorem 0.21s 0.41s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 24
% Syntax : Number of formulae : 65 ( 30 unt; 9 typ; 0 def)
% Number of atoms : 168 ( 112 equ)
% Maximal formula atoms : 16 ( 3 avg)
% Number of connectives : 130 ( 18 ~; 8 |; 86 &)
% ( 14 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 21 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number arithmetic : 140 ( 17 atm; 6 fun; 117 num; 0 var)
% Number of types : 2 ( 1 usr; 1 ari)
% Number of type conns : 2 ( 1 >; 1 *; 0 +; 0 <<)
% Number of predicates : 18 ( 14 usr; 15 prp; 0-2 aty)
% Number of functors : 22 ( 8 usr; 20 con; 0-2 aty)
% Number of variables : 40 ( 40 !; 0 ?; 40 :)
% 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(f108,plain,
$false,
inference(avatar_sat_refutation,[],[f38,f43,f48,f53,f58,f63,f68,f73,f78,f83,f88,f93,f98,f103,f107]) ).
tff(f107,plain,
( ~ spl0_3
| ~ spl0_14 ),
inference(avatar_contradiction_clause,[],[f106]) ).
tff(f106,plain,
( $false
| ~ spl0_3
| ~ spl0_14 ),
inference(evaluation,[],[f105]) ).
tff(f105,plain,
( $less(500,480)
| ~ spl0_3
| ~ spl0_14 ),
inference(forward_demodulation,[],[f104,f47]) ).
tff(f47,plain,
( ( d(berlin,cologne) = 480 )
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f45]) ).
tff(f45,plain,
( spl0_3
<=> ( d(berlin,cologne) = 480 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).
tff(f104,plain,
( $less(500,d(berlin,cologne))
| ~ spl0_14 ),
inference(forward_demodulation,[],[f102,f19]) ).
tff(f19,plain,
! [X4: city,X5: city] : ( d(X4,X5) = d(X5,X4) ),
inference(cnf_transformation,[],[f18]) ).
tff(f18,plain,
( $less(500,d(cologne,berlin))
& ( 360 = d(munich,saarbruecken) )
& ( d(munich,frankfurt) = 300 )
& ( d(hamburg,berlin) = 250 )
& ( d(hamburg,kiel) = 90 )
& ( d(cologne,frankfurt) = 150 )
& ( d(hamburg,frankfurt) = 390 )
& ( d(hamburg,cologne) = 360 )
& ( d(saarbruecken,cologne) = 190 )
& ( d(saarbruecken,frankfurt) = 160 )
& ( d(berlin,frankfurt) = 420 )
& ( d(berlin,cologne) = 480 )
& ( d(berlin,munich) = 510 )
& ! [X0: city] : ( d(X0,X0) = 0 )
& ! [X1: city,X2: city,X3: city] : ~ $less($sum(d(X1,X2),d(X2,X3)),d(X1,X3))
& ! [X4: city,X5: city] : ( d(X4,X5) = d(X5,X4) ) ),
inference(flattening,[],[f17]) ).
tff(f17,plain,
( $less(500,d(cologne,berlin))
& ( 360 = d(munich,saarbruecken) )
& ( d(munich,frankfurt) = 300 )
& ( d(hamburg,berlin) = 250 )
& ( d(hamburg,kiel) = 90 )
& ( d(cologne,frankfurt) = 150 )
& ( d(hamburg,frankfurt) = 390 )
& ( d(hamburg,cologne) = 360 )
& ( d(saarbruecken,cologne) = 190 )
& ( d(saarbruecken,frankfurt) = 160 )
& ( d(berlin,frankfurt) = 420 )
& ( d(berlin,cologne) = 480 )
& ( d(berlin,munich) = 510 )
& ! [X0: city] : ( d(X0,X0) = 0 )
& ! [X1: city,X2: city,X3: city] : ~ $less($sum(d(X1,X2),d(X2,X3)),d(X1,X3))
& ! [X4: city,X5: city] : ( d(X4,X5) = d(X5,X4) ) ),
inference(ennf_transformation,[],[f16]) ).
tff(f16,plain,
~ ( ( ( 360 = d(munich,saarbruecken) )
& ( d(munich,frankfurt) = 300 )
& ( d(hamburg,berlin) = 250 )
& ( d(hamburg,kiel) = 90 )
& ( d(cologne,frankfurt) = 150 )
& ( d(hamburg,frankfurt) = 390 )
& ( d(hamburg,cologne) = 360 )
& ( d(saarbruecken,cologne) = 190 )
& ( d(saarbruecken,frankfurt) = 160 )
& ( d(berlin,frankfurt) = 420 )
& ( d(berlin,cologne) = 480 )
& ( d(berlin,munich) = 510 )
& ! [X0: city] : ( d(X0,X0) = 0 )
& ! [X1: city,X2: city,X3: city] : ~ $less($sum(d(X1,X2),d(X2,X3)),d(X1,X3))
& ! [X4: city,X5: city] : ( d(X4,X5) = d(X5,X4) ) )
=> ~ $less(500,d(cologne,berlin)) ),
inference(rectify,[],[f3]) ).
tff(f3,plain,
~ ( ( ( 360 = d(munich,saarbruecken) )
& ( d(munich,frankfurt) = 300 )
& ( d(hamburg,berlin) = 250 )
& ( d(hamburg,kiel) = 90 )
& ( d(cologne,frankfurt) = 150 )
& ( d(hamburg,frankfurt) = 390 )
& ( d(hamburg,cologne) = 360 )
& ( d(saarbruecken,cologne) = 190 )
& ( d(saarbruecken,frankfurt) = 160 )
& ( d(berlin,frankfurt) = 420 )
& ( d(berlin,cologne) = 480 )
& ( d(berlin,munich) = 510 )
& ! [X0: city] : ( d(X0,X0) = 0 )
& ! [X0: city,X1: city,X2: city] : ~ $less($sum(d(X0,X1),d(X1,X2)),d(X0,X2))
& ! [X0: city,X1: city] : ( d(X0,X1) = d(X1,X0) ) )
=> ~ $less(500,d(cologne,berlin)) ),
inference(theory_normalization,[],[f2]) ).
tff(f2,negated_conjecture,
~ ( ( ( 360 = d(munich,saarbruecken) )
& ( d(munich,frankfurt) = 300 )
& ( d(hamburg,berlin) = 250 )
& ( d(hamburg,kiel) = 90 )
& ( d(cologne,frankfurt) = 150 )
& ( d(hamburg,frankfurt) = 390 )
& ( d(hamburg,cologne) = 360 )
& ( d(saarbruecken,cologne) = 190 )
& ( d(saarbruecken,frankfurt) = 160 )
& ( d(berlin,frankfurt) = 420 )
& ( d(berlin,cologne) = 480 )
& ( d(berlin,munich) = 510 )
& ! [X0: city] : ( d(X0,X0) = 0 )
& ! [X0: city,X1: city,X2: city] : $lesseq(d(X0,X2),$sum(d(X0,X1),d(X1,X2)))
& ! [X0: city,X1: city] : ( d(X0,X1) = d(X1,X0) ) )
=> $lesseq(d(cologne,berlin),500) ),
inference(negated_conjecture,[],[f1]) ).
tff(f1,conjecture,
( ( ( 360 = d(munich,saarbruecken) )
& ( d(munich,frankfurt) = 300 )
& ( d(hamburg,berlin) = 250 )
& ( d(hamburg,kiel) = 90 )
& ( d(cologne,frankfurt) = 150 )
& ( d(hamburg,frankfurt) = 390 )
& ( d(hamburg,cologne) = 360 )
& ( d(saarbruecken,cologne) = 190 )
& ( d(saarbruecken,frankfurt) = 160 )
& ( d(berlin,frankfurt) = 420 )
& ( d(berlin,cologne) = 480 )
& ( d(berlin,munich) = 510 )
& ! [X0: city] : ( d(X0,X0) = 0 )
& ! [X0: city,X1: city,X2: city] : $lesseq(d(X0,X2),$sum(d(X0,X1),d(X1,X2)))
& ! [X0: city,X1: city] : ( d(X0,X1) = d(X1,X0) ) )
=> $lesseq(d(cologne,berlin),500) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',city_distance_1) ).
tff(f102,plain,
( $less(500,d(cologne,berlin))
| ~ spl0_14 ),
inference(avatar_component_clause,[],[f100]) ).
tff(f100,plain,
( spl0_14
<=> $less(500,d(cologne,berlin)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_14])]) ).
tff(f103,plain,
spl0_14,
inference(avatar_split_clause,[],[f34,f100]) ).
tff(f34,plain,
$less(500,d(cologne,berlin)),
inference(cnf_transformation,[],[f18]) ).
tff(f98,plain,
spl0_13,
inference(avatar_split_clause,[],[f33,f95]) ).
tff(f95,plain,
( spl0_13
<=> ( 360 = d(munich,saarbruecken) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_13])]) ).
tff(f33,plain,
360 = d(munich,saarbruecken),
inference(cnf_transformation,[],[f18]) ).
tff(f93,plain,
spl0_12,
inference(avatar_split_clause,[],[f32,f90]) ).
tff(f90,plain,
( spl0_12
<=> ( d(munich,frankfurt) = 300 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_12])]) ).
tff(f32,plain,
d(munich,frankfurt) = 300,
inference(cnf_transformation,[],[f18]) ).
tff(f88,plain,
spl0_11,
inference(avatar_split_clause,[],[f31,f85]) ).
tff(f85,plain,
( spl0_11
<=> ( d(hamburg,berlin) = 250 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_11])]) ).
tff(f31,plain,
d(hamburg,berlin) = 250,
inference(cnf_transformation,[],[f18]) ).
tff(f83,plain,
spl0_10,
inference(avatar_split_clause,[],[f30,f80]) ).
tff(f80,plain,
( spl0_10
<=> ( d(hamburg,kiel) = 90 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).
tff(f30,plain,
d(hamburg,kiel) = 90,
inference(cnf_transformation,[],[f18]) ).
tff(f78,plain,
spl0_9,
inference(avatar_split_clause,[],[f29,f75]) ).
tff(f75,plain,
( spl0_9
<=> ( d(cologne,frankfurt) = 150 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).
tff(f29,plain,
d(cologne,frankfurt) = 150,
inference(cnf_transformation,[],[f18]) ).
tff(f73,plain,
spl0_8,
inference(avatar_split_clause,[],[f28,f70]) ).
tff(f70,plain,
( spl0_8
<=> ( d(hamburg,frankfurt) = 390 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).
tff(f28,plain,
d(hamburg,frankfurt) = 390,
inference(cnf_transformation,[],[f18]) ).
tff(f68,plain,
spl0_7,
inference(avatar_split_clause,[],[f27,f65]) ).
tff(f65,plain,
( spl0_7
<=> ( d(hamburg,cologne) = 360 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).
tff(f27,plain,
d(hamburg,cologne) = 360,
inference(cnf_transformation,[],[f18]) ).
tff(f63,plain,
spl0_6,
inference(avatar_split_clause,[],[f26,f60]) ).
tff(f60,plain,
( spl0_6
<=> ( d(saarbruecken,cologne) = 190 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).
tff(f26,plain,
d(saarbruecken,cologne) = 190,
inference(cnf_transformation,[],[f18]) ).
tff(f58,plain,
spl0_5,
inference(avatar_split_clause,[],[f25,f55]) ).
tff(f55,plain,
( spl0_5
<=> ( d(saarbruecken,frankfurt) = 160 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).
tff(f25,plain,
d(saarbruecken,frankfurt) = 160,
inference(cnf_transformation,[],[f18]) ).
tff(f53,plain,
spl0_4,
inference(avatar_split_clause,[],[f24,f50]) ).
tff(f50,plain,
( spl0_4
<=> ( d(berlin,frankfurt) = 420 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).
tff(f24,plain,
d(berlin,frankfurt) = 420,
inference(cnf_transformation,[],[f18]) ).
tff(f48,plain,
spl0_3,
inference(avatar_split_clause,[],[f23,f45]) ).
tff(f23,plain,
d(berlin,cologne) = 480,
inference(cnf_transformation,[],[f18]) ).
tff(f43,plain,
spl0_2,
inference(avatar_split_clause,[],[f22,f40]) ).
tff(f40,plain,
( spl0_2
<=> ( d(berlin,munich) = 510 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).
tff(f22,plain,
d(berlin,munich) = 510,
inference(cnf_transformation,[],[f18]) ).
tff(f38,plain,
spl0_1,
inference(avatar_split_clause,[],[f21,f36]) ).
tff(f36,plain,
( spl0_1
<=> ! [X0: city] : ( d(X0,X0) = 0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).
tff(f21,plain,
! [X0: city] : ( d(X0,X0) = 0 ),
inference(cnf_transformation,[],[f18]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : GEG021_1 : TPTP v8.2.0. Bugfixed v5.2.0.
% 0.07/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.36 % Computer : n019.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Sat May 18 21:56:38 EDT 2024
% 0.14/0.36 % CPUTime :
% 0.14/0.37 % (29535)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.39 % (29538)WARNING: value z3 for option sas not known
% 0.21/0.40 % (29538)dis+2_11_add=large:afr=on:amm=off:bd=off:bce=on:fsd=off:fde=none:gs=on:gsaa=full_model:gsem=off:irw=on:msp=off:nm=4:nwc=1.3:sas=z3:sims=off:sac=on:sp=reverse_arity_569 on theBenchmark for (569ds/0Mi)
% 0.21/0.40 % (29539)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.21/0.40 % (29537)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.21/0.40 % (29536)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.21/0.40 % (29540)ott+10_10:1_add=off:afr=on:amm=off:anc=all:bd=off:bs=on:fsr=off:irw=on:lma=on:msp=off:nm=4:nwc=4.0:sac=on:sp=reverse_frequency_531 on theBenchmark for (531ds/0Mi)
% 0.21/0.40 % (29542)ott+1_64_av=off:bd=off:bce=on:fsd=off:fde=unused:gsp=on:irw=on:lcm=predicate:lma=on:nm=2:nwc=1.1:sims=off:urr=on_497 on theBenchmark for (497ds/0Mi)
% 0.21/0.40 % (29541)ott-10_8_av=off:bd=preordered:bs=on:fsd=off:fsr=off:fde=unused:irw=on:lcm=predicate:lma=on:nm=4:nwc=1.7:sp=frequency_522 on theBenchmark for (522ds/0Mi)
% 0.21/0.40 % (29536)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.21/0.40 % (29537)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.21/0.40 % (29537)Terminated due to inappropriate strategy.
% 0.21/0.40 % (29537)------------------------------
% 0.21/0.40 % (29537)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.21/0.40 % (29537)Termination reason: Inappropriate
% 0.21/0.40
% 0.21/0.40 % (29537)Memory used [KB]: 727
% 0.21/0.40 % (29537)Time elapsed: 0.003 s
% 0.21/0.40 % (29537)Instructions burned: 2 (million)
% 0.21/0.40 % (29539)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.21/0.40 % (29539)Terminated due to inappropriate strategy.
% 0.21/0.40 % (29539)------------------------------
% 0.21/0.40 % (29539)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.21/0.40 % (29539)Termination reason: Inappropriate
% 0.21/0.40
% 0.21/0.40 % (29539)Memory used [KB]: 727
% 0.21/0.40 % (29539)Time elapsed: 0.003 s
% 0.21/0.40 % (29539)Instructions burned: 2 (million)
% 0.21/0.40 % (29536)Terminated due to inappropriate strategy.
% 0.21/0.40 % (29536)------------------------------
% 0.21/0.40 % (29536)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.21/0.40 % (29536)Termination reason: Inappropriate
% 0.21/0.40
% 0.21/0.40 % (29536)Memory used [KB]: 727
% 0.21/0.40 % (29536)Time elapsed: 0.004 s
% 0.21/0.40 % (29536)Instructions burned: 2 (million)
% 0.21/0.40 % (29537)------------------------------
% 0.21/0.40 % (29537)------------------------------
% 0.21/0.40 % (29539)------------------------------
% 0.21/0.40 % (29539)------------------------------
% 0.21/0.40 % (29536)------------------------------
% 0.21/0.40 % (29536)------------------------------
% 0.21/0.40 % (29540)First to succeed.
% 0.21/0.40 % (29538)Also succeeded, but the first one will report.
% 0.21/0.40 % (29542)Also succeeded, but the first one will report.
% 0.21/0.40 % (29541)Also succeeded, but the first one will report.
% 0.21/0.41 % (29540)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-29535"
% 0.21/0.41 % (29540)Refutation found. Thanks to Tanya!
% 0.21/0.41 % SZS status Theorem for theBenchmark
% 0.21/0.41 % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.41 % (29540)------------------------------
% 0.21/0.41 % (29540)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.21/0.41 % (29540)Termination reason: Refutation
% 0.21/0.41
% 0.21/0.41 % (29540)Memory used [KB]: 768
% 0.21/0.41 % (29540)Time elapsed: 0.009 s
% 0.21/0.41 % (29540)Instructions burned: 6 (million)
% 0.21/0.41 % (29535)Success in time 0.035 s
%------------------------------------------------------------------------------