TSTP Solution File: GEG024_1 by SnakeForV-SAT---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : GEG024_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 : n022.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 16:07:22 EDT 2022
% Result : Theorem 0.19s 0.50s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 11
% Syntax : Number of formulae : 26 ( 7 unt; 10 typ; 0 def)
% Number of atoms : 179 ( 151 equ)
% Maximal formula atoms : 24 ( 11 avg)
% Number of connectives : 175 ( 12 ~; 5 |; 154 &)
% ( 0 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 28 ( 13 avg)
% Maximal term depth : 3 ( 1 avg)
% Number arithmetic : 199 ( 27 atm; 7 fun; 165 num; 0 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 : 31 ( 9 usr; 28 con; 0-2 aty)
% Number of variables : 52 ( 48 !; 4 ?; 52 :)
% 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(f109,plain,
$false,
inference(evaluation,[],[f108]) ).
tff(f108,plain,
$less(1774224,1000000),
inference(forward_demodulation,[],[f105,f38]) ).
tff(f38,plain,
inh(hamburg) = 1774224,
inference(cnf_transformation,[],[f19]) ).
tff(f19,plain,
( ( d(berlin,frankfurt) = 420 )
& ! [X0: city] :
( $less(inh(X0),1000000)
| $less(100,d(kiel,X0)) )
& ( inh(frankfurt) = 671927 )
& ( inh(kiel) = 238281 )
& ( inh(hamburg) = 1774224 )
& ( d(hamburg,berlin) = 250 )
& ( d(berlin,cologne) = 480 )
& ( d(hamburg,frankfurt) = 390 )
& ( inh(saarbruecken) = 175810 )
& ! [X1: city] : ( 0 = d(X1,X1) )
& ( inh(munich) = 1330440 )
& ( d(cologne,frankfurt) = 150 )
& ( d(hamburg,kiel) = 90 )
& ( d(berlin,munich) = 510 )
& ( inh(cologne) = 998105 )
& ( d(saarbruecken,frankfurt) = 160 )
& ( d(munich,frankfurt) = 300 )
& ( 360 = d(munich,saarbruecken) )
& ( inh(berlin) = 3442675 )
& ( d(saarbruecken,cologne) = 190 )
& ! [X2: city,X3: city] : ( d(X2,X3) = d(X3,X2) )
& ( d(hamburg,cologne) = 360 )
& ! [X4: city,X5: city,X6: city] : ~ $less($sum(d(X5,X4),d(X4,X6)),d(X5,X6)) ),
inference(rectify,[],[f18]) ).
tff(f18,plain,
( ( d(berlin,frankfurt) = 420 )
& ! [X6: city] :
( $less(inh(X6),1000000)
| $less(100,d(kiel,X6)) )
& ( inh(frankfurt) = 671927 )
& ( inh(kiel) = 238281 )
& ( inh(hamburg) = 1774224 )
& ( d(hamburg,berlin) = 250 )
& ( d(berlin,cologne) = 480 )
& ( d(hamburg,frankfurt) = 390 )
& ( inh(saarbruecken) = 175810 )
& ! [X2: city] : ( 0 = d(X2,X2) )
& ( inh(munich) = 1330440 )
& ( d(cologne,frankfurt) = 150 )
& ( d(hamburg,kiel) = 90 )
& ( d(berlin,munich) = 510 )
& ( inh(cologne) = 998105 )
& ( d(saarbruecken,frankfurt) = 160 )
& ( d(munich,frankfurt) = 300 )
& ( 360 = d(munich,saarbruecken) )
& ( inh(berlin) = 3442675 )
& ( d(saarbruecken,cologne) = 190 )
& ! [X0: city,X1: city] : ( d(X0,X1) = d(X1,X0) )
& ( d(hamburg,cologne) = 360 )
& ! [X4: city,X3: city,X5: city] : ~ $less($sum(d(X3,X4),d(X4,X5)),d(X3,X5)) ),
inference(flattening,[],[f17]) ).
tff(f17,plain,
( ! [X6: city] :
( $less(inh(X6),1000000)
| $less(100,d(kiel,X6)) )
& ( d(berlin,munich) = 510 )
& ! [X0: city,X1: city] : ( d(X0,X1) = d(X1,X0) )
& ( d(berlin,frankfurt) = 420 )
& ( inh(berlin) = 3442675 )
& ( d(hamburg,berlin) = 250 )
& ( d(munich,frankfurt) = 300 )
& ( d(saarbruecken,frankfurt) = 160 )
& ( 360 = d(munich,saarbruecken) )
& ( d(hamburg,cologne) = 360 )
& ( inh(hamburg) = 1774224 )
& ( inh(kiel) = 238281 )
& ( inh(munich) = 1330440 )
& ! [X2: city] : ( 0 = d(X2,X2) )
& ( inh(cologne) = 998105 )
& ( d(cologne,frankfurt) = 150 )
& ( inh(saarbruecken) = 175810 )
& ( inh(frankfurt) = 671927 )
& ( d(hamburg,frankfurt) = 390 )
& ( d(berlin,cologne) = 480 )
& ! [X4: city,X3: city,X5: city] : ~ $less($sum(d(X3,X4),d(X4,X5)),d(X3,X5))
& ( d(hamburg,kiel) = 90 )
& ( d(saarbruecken,cologne) = 190 ) ),
inference(ennf_transformation,[],[f16]) ).
tff(f16,plain,
~ ( ( ( d(berlin,munich) = 510 )
& ! [X0: city,X1: city] : ( d(X0,X1) = d(X1,X0) )
& ( d(berlin,frankfurt) = 420 )
& ( inh(berlin) = 3442675 )
& ( d(hamburg,berlin) = 250 )
& ( d(munich,frankfurt) = 300 )
& ( d(saarbruecken,frankfurt) = 160 )
& ( 360 = d(munich,saarbruecken) )
& ( d(hamburg,cologne) = 360 )
& ( inh(hamburg) = 1774224 )
& ( inh(kiel) = 238281 )
& ( inh(munich) = 1330440 )
& ! [X2: city] : ( 0 = d(X2,X2) )
& ( inh(cologne) = 998105 )
& ( d(cologne,frankfurt) = 150 )
& ( inh(saarbruecken) = 175810 )
& ( inh(frankfurt) = 671927 )
& ( d(hamburg,frankfurt) = 390 )
& ( d(berlin,cologne) = 480 )
& ! [X4: city,X3: city,X5: city] : ~ $less($sum(d(X3,X4),d(X4,X5)),d(X3,X5))
& ( d(hamburg,kiel) = 90 )
& ( d(saarbruecken,cologne) = 190 ) )
=> ? [X6: city] :
( ~ $less(100,d(kiel,X6))
& ~ $less(inh(X6),1000000) ) ),
inference(rectify,[],[f3]) ).
tff(f3,plain,
~ ( ( ( inh(hamburg) = 1774224 )
& ( inh(saarbruecken) = 175810 )
& ( d(cologne,frankfurt) = 150 )
& ( d(saarbruecken,frankfurt) = 160 )
& ( d(saarbruecken,cologne) = 190 )
& ( d(berlin,munich) = 510 )
& ( d(berlin,frankfurt) = 420 )
& ( d(hamburg,cologne) = 360 )
& ( d(hamburg,berlin) = 250 )
& ( inh(munich) = 1330440 )
& ( d(hamburg,frankfurt) = 390 )
& ( inh(frankfurt) = 671927 )
& ( inh(kiel) = 238281 )
& ( d(hamburg,kiel) = 90 )
& ( d(berlin,cologne) = 480 )
& ( inh(berlin) = 3442675 )
& ( 360 = d(munich,saarbruecken) )
& ! [X0: city,X1: city] : ( d(X0,X1) = d(X1,X0) )
& ( inh(cologne) = 998105 )
& ! [X0: city] : ( d(X0,X0) = 0 )
& ! [X0: city,X1: city,X2: city] : ~ $less($sum(d(X0,X1),d(X1,X2)),d(X0,X2))
& ( d(munich,frankfurt) = 300 ) )
=> ? [X0: city] :
( ~ $less(100,d(kiel,X0))
& ~ $less(inh(X0),1000000) ) ),
inference(theory_normalization,[],[f2]) ).
tff(f2,negated_conjecture,
~ ( ( ( inh(hamburg) = 1774224 )
& ( inh(saarbruecken) = 175810 )
& ( d(cologne,frankfurt) = 150 )
& ( d(saarbruecken,frankfurt) = 160 )
& ( d(saarbruecken,cologne) = 190 )
& ( d(berlin,munich) = 510 )
& ( d(berlin,frankfurt) = 420 )
& ( d(hamburg,cologne) = 360 )
& ( d(hamburg,berlin) = 250 )
& ( inh(munich) = 1330440 )
& ( d(hamburg,frankfurt) = 390 )
& ( inh(frankfurt) = 671927 )
& ( inh(kiel) = 238281 )
& ( d(hamburg,kiel) = 90 )
& ( d(berlin,cologne) = 480 )
& ( inh(berlin) = 3442675 )
& ( 360 = d(munich,saarbruecken) )
& ! [X0: city,X1: city] : ( d(X0,X1) = d(X1,X0) )
& ( inh(cologne) = 998105 )
& ! [X0: city] : ( d(X0,X0) = 0 )
& ! [X0: city,X1: city,X2: city] : $lesseq(d(X0,X2),$sum(d(X0,X1),d(X1,X2)))
& ( d(munich,frankfurt) = 300 ) )
=> ? [X0: city] :
( $lesseq(d(kiel,X0),100)
& $lesseq(1000000,inh(X0)) ) ),
inference(negated_conjecture,[],[f1]) ).
tff(f1,conjecture,
( ( ( inh(hamburg) = 1774224 )
& ( inh(saarbruecken) = 175810 )
& ( d(cologne,frankfurt) = 150 )
& ( d(saarbruecken,frankfurt) = 160 )
& ( d(saarbruecken,cologne) = 190 )
& ( d(berlin,munich) = 510 )
& ( d(berlin,frankfurt) = 420 )
& ( d(hamburg,cologne) = 360 )
& ( d(hamburg,berlin) = 250 )
& ( inh(munich) = 1330440 )
& ( d(hamburg,frankfurt) = 390 )
& ( inh(frankfurt) = 671927 )
& ( inh(kiel) = 238281 )
& ( d(hamburg,kiel) = 90 )
& ( d(berlin,cologne) = 480 )
& ( inh(berlin) = 3442675 )
& ( 360 = d(munich,saarbruecken) )
& ! [X0: city,X1: city] : ( d(X0,X1) = d(X1,X0) )
& ( inh(cologne) = 998105 )
& ! [X0: city] : ( d(X0,X0) = 0 )
& ! [X0: city,X1: city,X2: city] : $lesseq(d(X0,X2),$sum(d(X0,X1),d(X1,X2)))
& ( d(munich,frankfurt) = 300 ) )
=> ? [X0: city] :
( $lesseq(d(kiel,X0),100)
& $lesseq(1000000,inh(X0)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',exists_big_city_distance_1) ).
tff(f105,plain,
$less(inh(hamburg),1000000),
inference(evaluation,[],[f104]) ).
tff(f104,plain,
( $less(inh(hamburg),1000000)
| $less(100,90) ),
inference(superposition,[],[f41,f52]) ).
tff(f52,plain,
90 = d(kiel,hamburg),
inference(superposition,[],[f22,f30]) ).
tff(f30,plain,
d(hamburg,kiel) = 90,
inference(cnf_transformation,[],[f19]) ).
tff(f22,plain,
! [X2: city,X3: city] : ( d(X2,X3) = d(X3,X2) ),
inference(cnf_transformation,[],[f19]) ).
tff(f41,plain,
! [X0: city] :
( $less(100,d(kiel,X0))
| $less(inh(X0),1000000) ),
inference(cnf_transformation,[],[f19]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GEG024=1 : TPTP v8.1.0. Bugfixed v5.2.0.
% 0.03/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.12/0.34 % Computer : n022.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Mon Aug 29 20:53:26 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.19/0.48 % (23781)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)
% 0.19/0.49 % (23789)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.19/0.49 % (23794)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)
% 0.19/0.49 % (23766)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)
% 0.19/0.49 % (23769)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.50 % (23766)First to succeed.
% 0.19/0.50 % (23766)Refutation found. Thanks to Tanya!
% 0.19/0.50 % SZS status Theorem for theBenchmark
% 0.19/0.50 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.50 % (23766)------------------------------
% 0.19/0.50 % (23766)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.50 % (23766)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.50 % (23766)Termination reason: Refutation
% 0.19/0.50
% 0.19/0.50 % (23766)Memory used [KB]: 5500
% 0.19/0.50 % (23766)Time elapsed: 0.098 s
% 0.19/0.50 % (23766)Instructions burned: 6 (million)
% 0.19/0.50 % (23766)------------------------------
% 0.19/0.50 % (23766)------------------------------
% 0.19/0.50 % (23764)Success in time 0.152 s
%------------------------------------------------------------------------------