TSTP Solution File: GEG021_1 by SnakeForV-SAT---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : GEG021_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 : n005.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 0.20s 0.55s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 14
% Syntax : Number of formulae : 28 ( 9 unt; 13 typ; 0 def)
% Number of atoms : 105 ( 88 equ)
% Maximal formula atoms : 16 ( 7 avg)
% Number of connectives : 99 ( 9 ~; 0 |; 86 &)
% ( 0 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 19 ( 8 avg)
% Maximal term depth : 3 ( 1 avg)
% Number arithmetic : 113 ( 16 atm; 6 fun; 91 num; 0 var)
% Number of types : 5 ( 1 usr; 3 ari)
% Number of type conns : 10 ( 5 >; 5 *; 0 +; 0 <<)
% Number of predicates : 8 ( 4 usr; 1 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(pred_def_3,type,
sQ0_eqProxy: ( $int * $int ) > $o ).
tff(pred_def_4,type,
sQ1_eqProxy: ( city * city ) > $o ).
tff(pred_def_5,type,
sQ2_eqProxy: ( $rat * $rat ) > $o ).
tff(pred_def_6,type,
sQ3_eqProxy: ( $real * $real ) > $o ).
tff(f156,plain,
$false,
inference(evaluation,[],[f155]) ).
tff(f155,plain,
$less(500,480),
inference(forward_demodulation,[],[f125,f39]) ).
tff(f39,plain,
d(berlin,cologne) = 480,
inference(literal_reordering,[],[f23]) ).
tff(f23,plain,
d(berlin,cologne) = 480,
inference(cnf_transformation,[],[f18]) ).
tff(f18,plain,
( ( d(hamburg,kiel) = 90 )
& ( d(munich,frankfurt) = 300 )
& $less(500,d(cologne,berlin))
& ! [X0: city,X1: city] : ( d(X0,X1) = d(X1,X0) )
& ( d(cologne,frankfurt) = 150 )
& ( d(hamburg,berlin) = 250 )
& ( d(hamburg,frankfurt) = 390 )
& ( d(saarbruecken,cologne) = 190 )
& ! [X2: city,X3: city,X4: city] : ~ $less($sum(d(X4,X2),d(X2,X3)),d(X4,X3))
& ! [X5: city] : ( 0 = d(X5,X5) )
& ( d(berlin,frankfurt) = 420 )
& ( d(berlin,cologne) = 480 )
& ( d(hamburg,cologne) = 360 )
& ( 360 = d(munich,saarbruecken) )
& ( d(saarbruecken,frankfurt) = 160 )
& ( d(berlin,munich) = 510 ) ),
inference(flattening,[],[f17]) ).
tff(f17,plain,
( $less(500,d(cologne,berlin))
& ( d(hamburg,frankfurt) = 390 )
& ( d(saarbruecken,frankfurt) = 160 )
& ( d(saarbruecken,cologne) = 190 )
& ( d(berlin,frankfurt) = 420 )
& ( d(hamburg,kiel) = 90 )
& ( d(berlin,munich) = 510 )
& ( d(cologne,frankfurt) = 150 )
& ! [X5: city] : ( 0 = d(X5,X5) )
& ! [X2: city,X3: city,X4: city] : ~ $less($sum(d(X4,X2),d(X2,X3)),d(X4,X3))
& ( 360 = d(munich,saarbruecken) )
& ( d(berlin,cologne) = 480 )
& ( d(munich,frankfurt) = 300 )
& ( d(hamburg,berlin) = 250 )
& ( d(hamburg,cologne) = 360 )
& ! [X0: city,X1: city] : ( d(X0,X1) = d(X1,X0) ) ),
inference(ennf_transformation,[],[f16]) ).
tff(f16,plain,
~ ( ( ( d(hamburg,frankfurt) = 390 )
& ( d(saarbruecken,frankfurt) = 160 )
& ( d(saarbruecken,cologne) = 190 )
& ( d(berlin,frankfurt) = 420 )
& ( d(hamburg,kiel) = 90 )
& ( d(berlin,munich) = 510 )
& ( d(cologne,frankfurt) = 150 )
& ! [X5: city] : ( 0 = d(X5,X5) )
& ! [X2: city,X3: city,X4: city] : ~ $less($sum(d(X4,X2),d(X2,X3)),d(X4,X3))
& ( 360 = d(munich,saarbruecken) )
& ( d(berlin,cologne) = 480 )
& ( d(munich,frankfurt) = 300 )
& ( d(hamburg,berlin) = 250 )
& ( d(hamburg,cologne) = 360 )
& ! [X0: city,X1: city] : ( d(X0,X1) = d(X1,X0) ) )
=> ~ $less(500,d(cologne,berlin)) ),
inference(rectify,[],[f3]) ).
tff(f3,plain,
~ ( ( ( d(hamburg,cologne) = 360 )
& ( d(berlin,munich) = 510 )
& ( d(cologne,frankfurt) = 150 )
& ! [X0: city,X1: city] : ( d(X0,X1) = d(X1,X0) )
& ( d(saarbruecken,frankfurt) = 160 )
& ( d(munich,frankfurt) = 300 )
& ( 360 = d(munich,saarbruecken) )
& ! [X1: city,X2: city,X0: city] : ~ $less($sum(d(X0,X1),d(X1,X2)),d(X0,X2))
& ( d(berlin,cologne) = 480 )
& ( d(berlin,frankfurt) = 420 )
& ( d(hamburg,frankfurt) = 390 )
& ! [X0: city] : ( d(X0,X0) = 0 )
& ( d(hamburg,berlin) = 250 )
& ( d(hamburg,kiel) = 90 )
& ( d(saarbruecken,cologne) = 190 ) )
=> ~ $less(500,d(cologne,berlin)) ),
inference(theory_normalization,[],[f2]) ).
tff(f2,negated_conjecture,
~ ( ( ( d(hamburg,cologne) = 360 )
& ( d(berlin,munich) = 510 )
& ( d(cologne,frankfurt) = 150 )
& ! [X0: city,X1: city] : ( d(X0,X1) = d(X1,X0) )
& ( d(saarbruecken,frankfurt) = 160 )
& ( d(munich,frankfurt) = 300 )
& ( 360 = d(munich,saarbruecken) )
& ! [X1: city,X2: city,X0: city] : $lesseq(d(X0,X2),$sum(d(X0,X1),d(X1,X2)))
& ( d(berlin,cologne) = 480 )
& ( d(berlin,frankfurt) = 420 )
& ( d(hamburg,frankfurt) = 390 )
& ! [X0: city] : ( d(X0,X0) = 0 )
& ( d(hamburg,berlin) = 250 )
& ( d(hamburg,kiel) = 90 )
& ( d(saarbruecken,cologne) = 190 ) )
=> $lesseq(d(cologne,berlin),500) ),
inference(negated_conjecture,[],[f1]) ).
tff(f1,conjecture,
( ( ( d(hamburg,cologne) = 360 )
& ( d(berlin,munich) = 510 )
& ( d(cologne,frankfurt) = 150 )
& ! [X0: city,X1: city] : ( d(X0,X1) = d(X1,X0) )
& ( d(saarbruecken,frankfurt) = 160 )
& ( d(munich,frankfurt) = 300 )
& ( 360 = d(munich,saarbruecken) )
& ! [X1: city,X2: city,X0: city] : $lesseq(d(X0,X2),$sum(d(X0,X1),d(X1,X2)))
& ( d(berlin,cologne) = 480 )
& ( d(berlin,frankfurt) = 420 )
& ( d(hamburg,frankfurt) = 390 )
& ! [X0: city] : ( d(X0,X0) = 0 )
& ( d(hamburg,berlin) = 250 )
& ( d(hamburg,kiel) = 90 )
& ( d(saarbruecken,cologne) = 190 ) )
=> $lesseq(d(cologne,berlin),500) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',city_distance_1) ).
tff(f125,plain,
$less(500,d(berlin,cologne)),
inference(backward_demodulation,[],[f54,f46]) ).
tff(f46,plain,
! [X0: city,X1: city] : ( d(X0,X1) = d(X1,X0) ),
inference(literal_reordering,[],[f31]) ).
tff(f31,plain,
! [X0: city,X1: city] : ( d(X0,X1) = d(X1,X0) ),
inference(cnf_transformation,[],[f18]) ).
tff(f54,plain,
$less(500,d(cologne,berlin)),
inference(literal_reordering,[],[f32]) ).
tff(f32,plain,
$less(500,d(cologne,berlin)),
inference(cnf_transformation,[],[f18]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GEG021=1 : TPTP v8.1.0. Bugfixed v5.2.0.
% 0.07/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.34 % Computer : n005.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Mon Aug 29 20:59:48 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.20/0.53 % (24530)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 % (24522)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)
% 0.20/0.54 % (24523)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.20/0.54 % (24522)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.20/0.54 % (24522)Terminated due to inappropriate strategy.
% 0.20/0.54 % (24522)------------------------------
% 0.20/0.54 % (24522)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.54 % (24522)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.54 % (24522)Termination reason: Inappropriate
% 0.20/0.54
% 0.20/0.54 % (24522)Memory used [KB]: 895
% 0.20/0.54 % (24522)Time elapsed: 0.005 s
% 0.20/0.54 % (24522)Instructions burned: 1 (million)
% 0.20/0.54 % (24522)------------------------------
% 0.20/0.54 % (24522)------------------------------
% 0.20/0.55 % (24539)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)
% 0.20/0.55 % (24530)First to succeed.
% 0.20/0.55 % (24531)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)
% 0.20/0.55 % (24538)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)
% 0.20/0.55 % (24523)Also succeeded, but the first one will report.
% 0.20/0.55 % (24530)Refutation found. Thanks to Tanya!
% 0.20/0.55 % SZS status Theorem for theBenchmark
% 0.20/0.55 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.55 % (24530)------------------------------
% 0.20/0.55 % (24530)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.55 % (24530)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.55 % (24530)Termination reason: Refutation
% 0.20/0.55
% 0.20/0.55 % (24530)Memory used [KB]: 5756
% 0.20/0.55 % (24530)Time elapsed: 0.012 s
% 0.20/0.55 % (24530)Instructions burned: 6 (million)
% 0.20/0.55 % (24530)------------------------------
% 0.20/0.55 % (24530)------------------------------
% 0.20/0.55 % (24515)Success in time 0.201 s
%------------------------------------------------------------------------------