TSTP Solution File: GEG025_1 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : GEG025_1 : TPTP v8.2.0. Bugfixed v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -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 19:57:10 EDT 2024
% Result : Theorem 0.59s 0.77s
% Output : Refutation 0.59s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 12
% Syntax : Number of formulae : 34 ( 12 unt; 10 typ; 0 def)
% Number of atoms : 191 ( 152 equ)
% Maximal formula atoms : 24 ( 7 avg)
% Number of connectives : 188 ( 21 ~; 9 |; 154 &)
% ( 0 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 28 ( 10 avg)
% Maximal term depth : 3 ( 1 avg)
% Number arithmetic : 225 ( 38 atm; 10 fun; 173 num; 4 var)
% Number of types : 2 ( 1 usr; 1 ari)
% Number of type conns : 3 ( 2 >; 1 *; 0 +; 0 <<)
% Number of predicates : 4 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 32 ( 9 usr; 29 con; 0-2 aty)
% Number of variables : 61 ( 57 !; 4 ?; 61 :)
% Comments :
%------------------------------------------------------------------------------
tff(type_def_5,type,
city: $tType ).
tff(func_def_0,type,
d: ( city * city ) > $int ).
tff(func_def_1,type,
inh: city > $int ).
tff(func_def_2,type,
kiel: city ).
tff(func_def_3,type,
hamburg: city ).
tff(func_def_4,type,
berlin: city ).
tff(func_def_5,type,
cologne: city ).
tff(func_def_6,type,
frankfurt: city ).
tff(func_def_7,type,
saarbruecken: city ).
tff(func_def_8,type,
munich: city ).
tff(f887,plain,
$false,
inference(evaluation,[],[f886]) ).
tff(f886,plain,
$less(3442675,3000000),
inference(forward_demodulation,[],[f885,f35]) ).
tff(f35,plain,
inh(berlin) = 3442675,
inference(cnf_transformation,[],[f19]) ).
tff(f19,plain,
( ! [X0: city] :
( $less(inh(X0),3000000)
| $less(600,d(saarbruecken,X0)) )
& ( inh(kiel) = 238281 )
& ( inh(saarbruecken) = 175810 )
& ( inh(frankfurt) = 671927 )
& ( inh(cologne) = 998105 )
& ( inh(munich) = 1330440 )
& ( inh(hamburg) = 1774224 )
& ( inh(berlin) = 3442675 )
& ( 360 = d(munich,saarbruecken) )
& ( d(munich,frankfurt) = 300 )
& ( d(hamburg,berlin) = 250 )
& ( d(hamburg,kiel) = 90 )
& ( d(cologne,frankfurt) = 150 )
& ( d(hamburg,frankfurt) = 390 )
& ( d(hamburg,cologne) = 360 )
& ( d(saarbruecken,cologne) = 190 )
& ( d(saarbruecken,frankfurt) = 160 )
& ( d(berlin,frankfurt) = 420 )
& ( d(berlin,cologne) = 480 )
& ( d(berlin,munich) = 510 )
& ! [X1: city] : ( 0 = d(X1,X1) )
& ! [X2: city,X3: city,X4: city] : ~ $less($sum(d(X2,X3),d(X3,X4)),d(X2,X4))
& ! [X5: city,X6: city] : ( d(X5,X6) = d(X6,X5) ) ),
inference(rectify,[],[f18]) ).
tff(f18,plain,
( ! [X6: city] :
( $less(inh(X6),3000000)
| $less(600,d(saarbruecken,X6)) )
& ( inh(kiel) = 238281 )
& ( inh(saarbruecken) = 175810 )
& ( inh(frankfurt) = 671927 )
& ( inh(cologne) = 998105 )
& ( inh(munich) = 1330440 )
& ( inh(hamburg) = 1774224 )
& ( inh(berlin) = 3442675 )
& ( 360 = d(munich,saarbruecken) )
& ( d(munich,frankfurt) = 300 )
& ( d(hamburg,berlin) = 250 )
& ( d(hamburg,kiel) = 90 )
& ( d(cologne,frankfurt) = 150 )
& ( d(hamburg,frankfurt) = 390 )
& ( d(hamburg,cologne) = 360 )
& ( d(saarbruecken,cologne) = 190 )
& ( d(saarbruecken,frankfurt) = 160 )
& ( d(berlin,frankfurt) = 420 )
& ( d(berlin,cologne) = 480 )
& ( d(berlin,munich) = 510 )
& ! [X0: city] : ( d(X0,X0) = 0 )
& ! [X1: city,X2: city,X3: city] : ~ $less($sum(d(X1,X2),d(X2,X3)),d(X1,X3))
& ! [X4: city,X5: city] : ( d(X4,X5) = d(X5,X4) ) ),
inference(flattening,[],[f17]) ).
tff(f17,plain,
( ! [X6: city] :
( $less(inh(X6),3000000)
| $less(600,d(saarbruecken,X6)) )
& ( inh(kiel) = 238281 )
& ( inh(saarbruecken) = 175810 )
& ( inh(frankfurt) = 671927 )
& ( inh(cologne) = 998105 )
& ( inh(munich) = 1330440 )
& ( inh(hamburg) = 1774224 )
& ( inh(berlin) = 3442675 )
& ( 360 = d(munich,saarbruecken) )
& ( d(munich,frankfurt) = 300 )
& ( d(hamburg,berlin) = 250 )
& ( d(hamburg,kiel) = 90 )
& ( d(cologne,frankfurt) = 150 )
& ( d(hamburg,frankfurt) = 390 )
& ( d(hamburg,cologne) = 360 )
& ( d(saarbruecken,cologne) = 190 )
& ( d(saarbruecken,frankfurt) = 160 )
& ( d(berlin,frankfurt) = 420 )
& ( d(berlin,cologne) = 480 )
& ( d(berlin,munich) = 510 )
& ! [X0: city] : ( d(X0,X0) = 0 )
& ! [X1: city,X2: city,X3: city] : ~ $less($sum(d(X1,X2),d(X2,X3)),d(X1,X3))
& ! [X4: city,X5: city] : ( d(X4,X5) = d(X5,X4) ) ),
inference(ennf_transformation,[],[f16]) ).
tff(f16,plain,
~ ( ( ( inh(kiel) = 238281 )
& ( inh(saarbruecken) = 175810 )
& ( inh(frankfurt) = 671927 )
& ( inh(cologne) = 998105 )
& ( inh(munich) = 1330440 )
& ( inh(hamburg) = 1774224 )
& ( inh(berlin) = 3442675 )
& ( 360 = d(munich,saarbruecken) )
& ( d(munich,frankfurt) = 300 )
& ( d(hamburg,berlin) = 250 )
& ( d(hamburg,kiel) = 90 )
& ( d(cologne,frankfurt) = 150 )
& ( d(hamburg,frankfurt) = 390 )
& ( d(hamburg,cologne) = 360 )
& ( d(saarbruecken,cologne) = 190 )
& ( d(saarbruecken,frankfurt) = 160 )
& ( d(berlin,frankfurt) = 420 )
& ( d(berlin,cologne) = 480 )
& ( d(berlin,munich) = 510 )
& ! [X0: city] : ( d(X0,X0) = 0 )
& ! [X1: city,X2: city,X3: city] : ~ $less($sum(d(X1,X2),d(X2,X3)),d(X1,X3))
& ! [X4: city,X5: city] : ( d(X4,X5) = d(X5,X4) ) )
=> ? [X6: city] :
( ~ $less(inh(X6),3000000)
& ~ $less(600,d(saarbruecken,X6)) ) ),
inference(rectify,[],[f3]) ).
tff(f3,plain,
~ ( ( ( inh(kiel) = 238281 )
& ( inh(saarbruecken) = 175810 )
& ( inh(frankfurt) = 671927 )
& ( inh(cologne) = 998105 )
& ( inh(munich) = 1330440 )
& ( inh(hamburg) = 1774224 )
& ( inh(berlin) = 3442675 )
& ( 360 = d(munich,saarbruecken) )
& ( d(munich,frankfurt) = 300 )
& ( d(hamburg,berlin) = 250 )
& ( d(hamburg,kiel) = 90 )
& ( d(cologne,frankfurt) = 150 )
& ( d(hamburg,frankfurt) = 390 )
& ( d(hamburg,cologne) = 360 )
& ( d(saarbruecken,cologne) = 190 )
& ( d(saarbruecken,frankfurt) = 160 )
& ( d(berlin,frankfurt) = 420 )
& ( d(berlin,cologne) = 480 )
& ( d(berlin,munich) = 510 )
& ! [X0: city] : ( d(X0,X0) = 0 )
& ! [X0: city,X1: city,X2: city] : ~ $less($sum(d(X0,X1),d(X1,X2)),d(X0,X2))
& ! [X0: city,X1: city] : ( d(X0,X1) = d(X1,X0) ) )
=> ? [X0: city] :
( ~ $less(inh(X0),3000000)
& ~ $less(600,d(saarbruecken,X0)) ) ),
inference(theory_normalization,[],[f2]) ).
tff(f2,negated_conjecture,
~ ( ( ( inh(kiel) = 238281 )
& ( inh(saarbruecken) = 175810 )
& ( inh(frankfurt) = 671927 )
& ( inh(cologne) = 998105 )
& ( inh(munich) = 1330440 )
& ( inh(hamburg) = 1774224 )
& ( inh(berlin) = 3442675 )
& ( 360 = d(munich,saarbruecken) )
& ( d(munich,frankfurt) = 300 )
& ( d(hamburg,berlin) = 250 )
& ( d(hamburg,kiel) = 90 )
& ( d(cologne,frankfurt) = 150 )
& ( d(hamburg,frankfurt) = 390 )
& ( d(hamburg,cologne) = 360 )
& ( d(saarbruecken,cologne) = 190 )
& ( d(saarbruecken,frankfurt) = 160 )
& ( d(berlin,frankfurt) = 420 )
& ( d(berlin,cologne) = 480 )
& ( d(berlin,munich) = 510 )
& ! [X0: city] : ( d(X0,X0) = 0 )
& ! [X0: city,X1: city,X2: city] : $lesseq(d(X0,X2),$sum(d(X0,X1),d(X1,X2)))
& ! [X0: city,X1: city] : ( d(X0,X1) = d(X1,X0) ) )
=> ? [X0: city] :
( $lesseq(3000000,inh(X0))
& $lesseq(d(saarbruecken,X0),600) ) ),
inference(negated_conjecture,[],[f1]) ).
tff(f1,conjecture,
( ( ( inh(kiel) = 238281 )
& ( inh(saarbruecken) = 175810 )
& ( inh(frankfurt) = 671927 )
& ( inh(cologne) = 998105 )
& ( inh(munich) = 1330440 )
& ( inh(hamburg) = 1774224 )
& ( inh(berlin) = 3442675 )
& ( 360 = d(munich,saarbruecken) )
& ( d(munich,frankfurt) = 300 )
& ( d(hamburg,berlin) = 250 )
& ( d(hamburg,kiel) = 90 )
& ( d(cologne,frankfurt) = 150 )
& ( d(hamburg,frankfurt) = 390 )
& ( d(hamburg,cologne) = 360 )
& ( d(saarbruecken,cologne) = 190 )
& ( d(saarbruecken,frankfurt) = 160 )
& ( d(berlin,frankfurt) = 420 )
& ( d(berlin,cologne) = 480 )
& ( d(berlin,munich) = 510 )
& ! [X0: city] : ( d(X0,X0) = 0 )
& ! [X0: city,X1: city,X2: city] : $lesseq(d(X0,X2),$sum(d(X0,X1),d(X1,X2)))
& ! [X0: city,X1: city] : ( d(X0,X1) = d(X1,X0) ) )
=> ? [X0: city] :
( $lesseq(3000000,inh(X0))
& $lesseq(d(saarbruecken,X0),600) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',exists_big_city_distance_2) ).
tff(f885,plain,
$less(inh(berlin),3000000),
inference(evaluation,[],[f884]) ).
tff(f884,plain,
( ~ $less(580,600)
| $less(inh(berlin),3000000) ),
inference(resolution,[],[f846,f75]) ).
tff(f75,plain,
! [X0: city] :
( $less(600,d(X0,saarbruecken))
| $less(inh(X0),3000000) ),
inference(superposition,[],[f42,f20]) ).
tff(f20,plain,
! [X6: city,X5: city] : ( d(X5,X6) = d(X6,X5) ),
inference(cnf_transformation,[],[f19]) ).
tff(f42,plain,
! [X0: city] :
( $less(600,d(saarbruecken,X0))
| $less(inh(X0),3000000) ),
inference(cnf_transformation,[],[f19]) ).
tff(f846,plain,
! [X0: $int] :
( ~ $less(X0,d(berlin,saarbruecken))
| ~ $less(580,X0) ),
inference(resolution,[],[f831,f10]) ).
tff(f10,plain,
! [X2: $int,X0: $int,X1: $int] :
( $less(X0,X2)
| ~ $less(X1,X2)
| ~ $less(X0,X1) ),
introduced(theory_axiom_143,[]) ).
tff(f831,plain,
~ $less(580,d(berlin,saarbruecken)),
inference(evaluation,[],[f818]) ).
tff(f818,plain,
~ $less($sum(420,160),d(berlin,saarbruecken)),
inference(superposition,[],[f110,f46]) ).
tff(f46,plain,
160 = d(frankfurt,saarbruecken),
inference(superposition,[],[f20,f26]) ).
tff(f26,plain,
d(saarbruecken,frankfurt) = 160,
inference(cnf_transformation,[],[f19]) ).
tff(f110,plain,
! [X0: city] : ~ $less($sum(420,d(frankfurt,X0)),d(berlin,X0)),
inference(superposition,[],[f21,f25]) ).
tff(f25,plain,
d(berlin,frankfurt) = 420,
inference(cnf_transformation,[],[f19]) ).
tff(f21,plain,
! [X2: city,X3: city,X4: city] : ~ $less($sum(d(X2,X3),d(X3,X4)),d(X2,X4)),
inference(cnf_transformation,[],[f19]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : GEG025_1 : TPTP v8.2.0. Bugfixed v5.2.0.
% 0.13/0.14 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.14/0.35 % Computer : n019.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 : Sat May 18 21:55:23 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.14/0.35 This is a TF0_THM_EQU_ARI problem
% 0.14/0.36 Running vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.55/0.75 % (26057)lrs-21_1:1_to=lpo:sil=2000:sp=frequency:sos=on:lma=on:i=56:sd=2:ss=axioms:ep=R_0 on theBenchmark for (2996ds/56Mi)
% 0.55/0.75 % (26049)dis-1011_2:1_sil=2000:lsd=20:nwc=5.0:flr=on:mep=off:st=3.0:i=34:sd=1:ep=RS:ss=axioms_0 on theBenchmark for (2996ds/34Mi)
% 0.55/0.75 % (26052)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on theBenchmark for (2996ds/78Mi)
% 0.55/0.75 % (26051)lrs+1011_461:32768_sil=16000:irw=on:sp=frequency:lsd=20:fd=preordered:nwc=10.0:s2agt=32:alpa=false:cond=fast:s2a=on:i=51:s2at=3.0:awrs=decay:awrsf=691:bd=off:nm=20:fsr=off:amm=sco:uhcvi=on:rawr=on_0 on theBenchmark for (2996ds/51Mi)
% 0.55/0.75 % (26054)lrs+2_1:1_sil=16000:fde=none:sos=all:nwc=5.0:i=34:ep=RS:s2pl=on:lma=on:afp=100000_0 on theBenchmark for (2996ds/34Mi)
% 0.55/0.75 % (26053)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on theBenchmark for (2996ds/33Mi)
% 0.55/0.75 % (26055)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on theBenchmark for (2996ds/45Mi)
% 0.55/0.75 % (26056)lrs+21_1:5_sil=2000:sos=on:urr=on:newcnf=on:slsq=on:i=83:slsql=off:bd=off:nm=2:ss=axioms:st=1.5:sp=const_min:gsp=on:rawr=on_0 on theBenchmark for (2996ds/83Mi)
% 0.59/0.76 % (26053)Instruction limit reached!
% 0.59/0.76 % (26053)------------------------------
% 0.59/0.76 % (26053)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.59/0.76 % (26053)Termination reason: Unknown
% 0.59/0.76 % (26053)Termination phase: Saturation
% 0.59/0.76
% 0.59/0.76 % (26053)Memory used [KB]: 1141
% 0.59/0.76 % (26053)Time elapsed: 0.019 s
% 0.59/0.76 % (26053)Instructions burned: 33 (million)
% 0.59/0.76 % (26053)------------------------------
% 0.59/0.76 % (26053)------------------------------
% 0.59/0.76 % (26057)Instruction limit reached!
% 0.59/0.76 % (26057)------------------------------
% 0.59/0.76 % (26057)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.59/0.76 % (26057)Termination reason: Unknown
% 0.59/0.76 % (26057)Termination phase: Saturation
% 0.59/0.76
% 0.59/0.76 % (26057)Memory used [KB]: 1254
% 0.59/0.76 % (26057)Time elapsed: 0.020 s
% 0.59/0.76 % (26057)Instructions burned: 57 (million)
% 0.59/0.76 % (26057)------------------------------
% 0.59/0.76 % (26057)------------------------------
% 0.59/0.77 % (26049)Instruction limit reached!
% 0.59/0.77 % (26049)------------------------------
% 0.59/0.77 % (26049)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.59/0.77 % (26049)Termination reason: Unknown
% 0.59/0.77 % (26049)Termination phase: Saturation
% 0.59/0.77
% 0.59/0.77 % (26049)Memory used [KB]: 1149
% 0.59/0.77 % (26049)Time elapsed: 0.020 s
% 0.59/0.77 % (26049)Instructions burned: 35 (million)
% 0.59/0.77 % (26049)------------------------------
% 0.59/0.77 % (26049)------------------------------
% 0.59/0.77 % (26067)dis+3_25:4_sil=16000:sos=all:erd=off:i=50:s2at=4.0:bd=off:nm=60:sup=off:cond=on:av=off:ins=2:nwc=10.0:etr=on:to=lpo:s2agt=20:fd=off:bsr=unit_only:slsq=on:slsqr=28,19:awrs=converge:awrsf=500:tgt=ground:bs=unit_only_0 on theBenchmark for (2995ds/50Mi)
% 0.59/0.77 % (26054)Instruction limit reached!
% 0.59/0.77 % (26054)------------------------------
% 0.59/0.77 % (26054)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.59/0.77 % (26054)Termination reason: Unknown
% 0.59/0.77 % (26054)Termination phase: Saturation
% 0.59/0.77
% 0.59/0.77 % (26054)Memory used [KB]: 1179
% 0.59/0.77 % (26054)Time elapsed: 0.022 s
% 0.59/0.77 % (26054)Instructions burned: 35 (million)
% 0.59/0.77 % (26054)------------------------------
% 0.59/0.77 % (26054)------------------------------
% 0.59/0.77 % (26066)lrs+21_1:16_sil=2000:sp=occurrence:urr=on:flr=on:i=55:sd=1:nm=0:ins=3:ss=included:rawr=on:br=off_0 on theBenchmark for (2995ds/55Mi)
% 0.59/0.77 % (26068)lrs+1010_1:2_sil=4000:tgt=ground:nwc=10.0:st=2.0:i=208:sd=1:bd=off:ss=axioms_0 on theBenchmark for (2995ds/208Mi)
% 0.59/0.77 % (26055)First to succeed.
% 0.59/0.77 % (26055)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-25905"
% 0.59/0.77 % (26055)Refutation found. Thanks to Tanya!
% 0.59/0.77 % SZS status Theorem for theBenchmark
% 0.59/0.77 % SZS output start Proof for theBenchmark
% See solution above
% 0.59/0.77 % (26055)------------------------------
% 0.59/0.77 % (26055)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.59/0.77 % (26055)Termination reason: Refutation
% 0.59/0.77
% 0.59/0.77 % (26055)Memory used [KB]: 1316
% 0.59/0.77 % (26055)Time elapsed: 0.025 s
% 0.59/0.77 % (26055)Instructions burned: 39 (million)
% 0.59/0.77 % (25905)Success in time 0.406 s
% 0.59/0.77 % Vampire---4.8 exiting
%------------------------------------------------------------------------------