TSTP Solution File: GEG022_1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : GEG022_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 : n023.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 0.23s 0.40s
% Output : Refutation 0.23s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 11
% Syntax : Number of formulae : 27 ( 10 unt; 9 typ; 0 def)
% Number of atoms : 111 ( 88 equ)
% Maximal formula atoms : 16 ( 6 avg)
% Number of connectives : 109 ( 16 ~; 3 |; 86 &)
% ( 0 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 21 ( 8 avg)
% Maximal term depth : 3 ( 1 avg)
% Number arithmetic : 131 ( 22 atm; 10 fun; 95 num; 4 var)
% Number of types : 2 ( 1 usr; 1 ari)
% Number of type conns : 2 ( 1 >; 1 *; 0 +; 0 <<)
% Number of predicates : 4 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 22 ( 8 usr; 20 con; 0-2 aty)
% Number of variables : 46 ( 46 !; 0 ?; 46 :)
% 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(f305,plain,
$false,
inference(evaluation,[],[f304]) ).
tff(f304,plain,
~ $less($sum(390,300),700),
inference(forward_demodulation,[],[f287,f38]) ).
tff(f38,plain,
300 = d(frankfurt,munich),
inference(superposition,[],[f19,f32]) ).
tff(f32,plain,
d(munich,frankfurt) = 300,
inference(cnf_transformation,[],[f18]) ).
tff(f18,plain,
( $less(700,d(hamburg,munich))
& ( 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(700,d(hamburg,munich))
& ( 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(700,d(hamburg,munich)) ),
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(700,d(hamburg,munich)) ),
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(hamburg,munich),700) ),
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(hamburg,munich),700) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',city_distance_2) ).
tff(f19,plain,
! [X4: city,X5: city] : ( d(X4,X5) = d(X5,X4) ),
inference(cnf_transformation,[],[f18]) ).
tff(f287,plain,
~ $less($sum(390,d(frankfurt,munich)),700),
inference(resolution,[],[f109,f262]) ).
tff(f262,plain,
! [X0: $int] :
( $less(X0,d(hamburg,munich))
| ~ $less(X0,700) ),
inference(resolution,[],[f10,f34]) ).
tff(f34,plain,
$less(700,d(hamburg,munich)),
inference(cnf_transformation,[],[f18]) ).
tff(f10,plain,
! [X2: $int,X0: $int,X1: $int] :
( ~ $less(X1,X2)
| ~ $less(X0,X1)
| $less(X0,X2) ),
introduced(theory_axiom_143,[]) ).
tff(f109,plain,
! [X0: city] : ~ $less($sum(390,d(frankfurt,X0)),d(hamburg,X0)),
inference(superposition,[],[f20,f28]) ).
tff(f28,plain,
d(hamburg,frankfurt) = 390,
inference(cnf_transformation,[],[f18]) ).
tff(f20,plain,
! [X2: city,X3: city,X1: city] : ~ $less($sum(d(X1,X2),d(X2,X3)),d(X1,X3)),
inference(cnf_transformation,[],[f18]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : GEG022_1 : TPTP v8.2.0. Bugfixed v5.2.0.
% 0.08/0.15 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.15/0.37 % Computer : n023.cluster.edu
% 0.15/0.37 % Model : x86_64 x86_64
% 0.15/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.37 % Memory : 8042.1875MB
% 0.15/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.37 % CPULimit : 300
% 0.15/0.37 % WCLimit : 300
% 0.15/0.37 % DateTime : Sat May 18 21:55:38 EDT 2024
% 0.15/0.37 % CPUTime :
% 0.15/0.37 % (9833)Running in auto input_syntax mode. Trying TPTP
% 0.23/0.39 % (9836)WARNING: value z3 for option sas not known
% 0.23/0.39 % (9837)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.23/0.39 % (9840)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)
% 0.23/0.39 % (9836)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)
% 0.23/0.39 % (9839)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)
% 0.23/0.39 % (9837)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.23/0.39 % (9837)Terminated due to inappropriate strategy.
% 0.23/0.39 % (9837)------------------------------
% 0.23/0.39 % (9837)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.23/0.39 % (9837)Termination reason: Inappropriate
% 0.23/0.39
% 0.23/0.39 % (9837)Memory used [KB]: 727
% 0.23/0.39 % (9837)Time elapsed: 0.003 s
% 0.23/0.39 % (9837)Instructions burned: 2 (million)
% 0.23/0.39 % (9835)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.23/0.39 % (9837)------------------------------
% 0.23/0.39 % (9837)------------------------------
% 0.23/0.39 % (9835)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.23/0.39 % (9835)Terminated due to inappropriate strategy.
% 0.23/0.39 % (9835)------------------------------
% 0.23/0.39 % (9835)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.23/0.39 % (9835)Termination reason: Inappropriate
% 0.23/0.39
% 0.23/0.39 % (9835)Memory used [KB]: 727
% 0.23/0.39 % (9835)Time elapsed: 0.002 s
% 0.23/0.39 % (9835)Instructions burned: 2 (million)
% 0.23/0.39 % (9835)------------------------------
% 0.23/0.39 % (9835)------------------------------
% 0.23/0.39 % (9834)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.23/0.39 % (9834)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.23/0.39 % (9834)Terminated due to inappropriate strategy.
% 0.23/0.39 % (9834)------------------------------
% 0.23/0.39 % (9834)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.23/0.39 % (9834)Termination reason: Inappropriate
% 0.23/0.39
% 0.23/0.39 % (9834)Memory used [KB]: 727
% 0.23/0.39 % (9834)Time elapsed: 0.004 s
% 0.23/0.39 % (9834)Instructions burned: 2 (million)
% 0.23/0.39 % (9834)------------------------------
% 0.23/0.39 % (9834)------------------------------
% 0.23/0.40 % (9836)First to succeed.
% 0.23/0.40 % (9838)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)
% 0.23/0.40 % (9836)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-9833"
% 0.23/0.40 % (9836)Refutation found. Thanks to Tanya!
% 0.23/0.40 % SZS status Theorem for theBenchmark
% 0.23/0.40 % SZS output start Proof for theBenchmark
% See solution above
% 0.23/0.40 % (9836)------------------------------
% 0.23/0.40 % (9836)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.23/0.40 % (9836)Termination reason: Refutation
% 0.23/0.40
% 0.23/0.40 % (9836)Memory used [KB]: 886
% 0.23/0.40 % (9836)Time elapsed: 0.013 s
% 0.23/0.40 % (9836)Instructions burned: 17 (million)
% 0.23/0.40 % (9833)Success in time 0.029 s
%------------------------------------------------------------------------------