TSTP Solution File: GEG021_1 by SnakeForV---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV---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_uns --cores 0 -t %d %s
% Computer : n008.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 16:07:18 EDT 2022
% Result : Theorem 0.19s 0.51s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 10
% Syntax : Number of formulae : 22 ( 6 unt; 9 typ; 0 def)
% Number of atoms : 118 ( 100 equ)
% Maximal formula atoms : 16 ( 9 avg)
% Number of connectives : 115 ( 10 ~; 0 |; 101 &)
% ( 0 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 18 ( 10 avg)
% Maximal term depth : 3 ( 1 avg)
% Number arithmetic : 127 ( 17 atm; 7 fun; 103 num; 0 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 : 44 ( 44 !; 0 ?; 44 :)
% 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(f38,plain,
$false,
inference(evaluation,[],[f37]) ).
tff(f37,plain,
$less(500,480),
inference(backward_demodulation,[],[f36,f27]) ).
tff(f27,plain,
d(berlin,cologne) = 480,
inference(cnf_transformation,[],[f19]) ).
tff(f19,plain,
( ( d(hamburg,frankfurt) = 390 )
& ! [X0: city] : ( d(X0,X0) = 0 )
& ( d(cologne,frankfurt) = 150 )
& ( d(berlin,munich) = 510 )
& ( 360 = d(munich,saarbruecken) )
& ( d(saarbruecken,cologne) = 190 )
& ( d(saarbruecken,frankfurt) = 160 )
& ( d(hamburg,kiel) = 90 )
& ( d(berlin,cologne) = 480 )
& ! [X1: city,X2: city] : ( d(X1,X2) = d(X2,X1) )
& ( d(hamburg,cologne) = 360 )
& ( d(hamburg,berlin) = 250 )
& ! [X3: city,X4: city,X5: city] : ~ $less($sum(d(X5,X3),d(X3,X4)),d(X5,X4))
& ( d(berlin,frankfurt) = 420 )
& $less(500,d(cologne,berlin))
& ( d(munich,frankfurt) = 300 ) ),
inference(rectify,[],[f18]) ).
tff(f18,plain,
( ( d(hamburg,frankfurt) = 390 )
& ! [X0: city] : ( d(X0,X0) = 0 )
& ( d(cologne,frankfurt) = 150 )
& ( d(berlin,munich) = 510 )
& ( 360 = d(munich,saarbruecken) )
& ( d(saarbruecken,cologne) = 190 )
& ( d(saarbruecken,frankfurt) = 160 )
& ( d(hamburg,kiel) = 90 )
& ( d(berlin,cologne) = 480 )
& ! [X5: city,X4: city] : ( d(X4,X5) = d(X5,X4) )
& ( d(hamburg,cologne) = 360 )
& ( d(hamburg,berlin) = 250 )
& ! [X2: city,X1: city,X3: city] : ~ $less($sum(d(X3,X2),d(X2,X1)),d(X3,X1))
& ( d(berlin,frankfurt) = 420 )
& $less(500,d(cologne,berlin))
& ( d(munich,frankfurt) = 300 ) ),
inference(flattening,[],[f17]) ).
tff(f17,plain,
( $less(500,d(cologne,berlin))
& ( d(berlin,munich) = 510 )
& ( d(hamburg,kiel) = 90 )
& ! [X5: city,X4: city] : ( d(X4,X5) = d(X5,X4) )
& ( d(hamburg,frankfurt) = 390 )
& ! [X2: city,X1: city,X3: city] : ~ $less($sum(d(X3,X2),d(X2,X1)),d(X3,X1))
& ( d(saarbruecken,cologne) = 190 )
& ( d(saarbruecken,frankfurt) = 160 )
& ( d(berlin,frankfurt) = 420 )
& ( 360 = d(munich,saarbruecken) )
& ! [X0: city] : ( d(X0,X0) = 0 )
& ( d(hamburg,cologne) = 360 )
& ( d(munich,frankfurt) = 300 )
& ( d(hamburg,berlin) = 250 )
& ( d(cologne,frankfurt) = 150 )
& ( d(berlin,cologne) = 480 ) ),
inference(ennf_transformation,[],[f16]) ).
tff(f16,plain,
~ ( ( ( d(berlin,munich) = 510 )
& ( d(hamburg,kiel) = 90 )
& ! [X5: city,X4: city] : ( d(X4,X5) = d(X5,X4) )
& ( d(hamburg,frankfurt) = 390 )
& ! [X2: city,X1: city,X3: city] : ~ $less($sum(d(X3,X2),d(X2,X1)),d(X3,X1))
& ( d(saarbruecken,cologne) = 190 )
& ( d(saarbruecken,frankfurt) = 160 )
& ( d(berlin,frankfurt) = 420 )
& ( 360 = d(munich,saarbruecken) )
& ! [X0: city] : ( d(X0,X0) = 0 )
& ( d(hamburg,cologne) = 360 )
& ( d(munich,frankfurt) = 300 )
& ( d(hamburg,berlin) = 250 )
& ( d(cologne,frankfurt) = 150 )
& ( d(berlin,cologne) = 480 ) )
=> ~ $less(500,d(cologne,berlin)) ),
inference(rectify,[],[f3]) ).
tff(f3,plain,
~ ( ( ( d(hamburg,berlin) = 250 )
& ( d(cologne,frankfurt) = 150 )
& ( d(saarbruecken,cologne) = 190 )
& ( 360 = d(munich,saarbruecken) )
& ( d(hamburg,frankfurt) = 390 )
& ! [X0: city] : ( d(X0,X0) = 0 )
& ! [X2: city,X1: city,X0: city] : ~ $less($sum(d(X0,X1),d(X1,X2)),d(X0,X2))
& ( d(saarbruecken,frankfurt) = 160 )
& ! [X1: city,X0: city] : ( d(X0,X1) = d(X1,X0) )
& ( d(berlin,cologne) = 480 )
& ( d(hamburg,kiel) = 90 )
& ( d(berlin,munich) = 510 )
& ( d(munich,frankfurt) = 300 )
& ( d(berlin,frankfurt) = 420 )
& ( d(hamburg,cologne) = 360 ) )
=> ~ $less(500,d(cologne,berlin)) ),
inference(theory_normalization,[],[f2]) ).
tff(f2,negated_conjecture,
~ ( ( ( d(hamburg,berlin) = 250 )
& ( d(cologne,frankfurt) = 150 )
& ( d(saarbruecken,cologne) = 190 )
& ( 360 = d(munich,saarbruecken) )
& ( d(hamburg,frankfurt) = 390 )
& ! [X0: city] : ( d(X0,X0) = 0 )
& ! [X2: city,X1: city,X0: city] : $lesseq(d(X0,X2),$sum(d(X0,X1),d(X1,X2)))
& ( d(saarbruecken,frankfurt) = 160 )
& ! [X1: city,X0: city] : ( d(X0,X1) = d(X1,X0) )
& ( d(berlin,cologne) = 480 )
& ( d(hamburg,kiel) = 90 )
& ( d(berlin,munich) = 510 )
& ( d(munich,frankfurt) = 300 )
& ( d(berlin,frankfurt) = 420 )
& ( d(hamburg,cologne) = 360 ) )
=> $lesseq(d(cologne,berlin),500) ),
inference(negated_conjecture,[],[f1]) ).
tff(f1,conjecture,
( ( ( d(hamburg,berlin) = 250 )
& ( d(cologne,frankfurt) = 150 )
& ( d(saarbruecken,cologne) = 190 )
& ( 360 = d(munich,saarbruecken) )
& ( d(hamburg,frankfurt) = 390 )
& ! [X0: city] : ( d(X0,X0) = 0 )
& ! [X2: city,X1: city,X0: city] : $lesseq(d(X0,X2),$sum(d(X0,X1),d(X1,X2)))
& ( d(saarbruecken,frankfurt) = 160 )
& ! [X1: city,X0: city] : ( d(X0,X1) = d(X1,X0) )
& ( d(berlin,cologne) = 480 )
& ( d(hamburg,kiel) = 90 )
& ( d(berlin,munich) = 510 )
& ( d(munich,frankfurt) = 300 )
& ( d(berlin,frankfurt) = 420 )
& ( d(hamburg,cologne) = 360 ) )
=> $lesseq(d(cologne,berlin),500) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',city_distance_1) ).
tff(f36,plain,
$less(500,d(berlin,cologne)),
inference(forward_demodulation,[],[f21,f26]) ).
tff(f26,plain,
! [X2: city,X1: city] : ( d(X1,X2) = d(X2,X1) ),
inference(cnf_transformation,[],[f19]) ).
tff(f21,plain,
$less(500,d(cologne,berlin)),
inference(cnf_transformation,[],[f19]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GEG021=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_uns --cores 0 -t %d %s
% 0.13/0.34 % Computer : n008.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 21:03:55 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.49 % (2672)lrs+10_1:8_ep=R:erd=off:fs=off:fsr=off:gve=force:nwc=2.0:uwa=one_side_interpreted:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.19/0.50 % (2665)dis+1011_1:64_drc=off:flr=on:nwc=2.0:sac=on:urr=ec_only:i=8:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/8Mi)
% 0.19/0.50 % (2673)lrs+10_1:1_canc=force:tha=some:to=lpo:i=35:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/35Mi)
% 0.19/0.50 % (2673)First to succeed.
% 0.19/0.50 % (2663)lrs+1010_1:1_aac=none:bce=on:nicw=on:nm=0:plsq=on:plsql=on:sac=on:sos=on:sp=frequency:spb=units:to=lpo:i=34:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/34Mi)
% 0.19/0.50 % (2671)lrs+1010_1:1_ep=RST:s2a=on:s2at=5.0:sos=all:i=26:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/26Mi)
% 0.19/0.50 % (2662)dis+1010_1:4_aac=none:abs=on:atotf=0.5:avsq=on:avsqc=2:avsqr=215,247:awrs=converge:awrsf=128:bsd=on:erd=off:fde=none:gve=cautious:newcnf=on:nwc=5.0:rnwc=on:sac=on:sas=z3:sp=const_min:tgt=ground:thsq=on:thsqc=64:thsqr=1,4:i=59848:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59848Mi)
% 0.19/0.50 % (2689)lrs+1_3:1_ep=RSTC:sos=on:urr=on:i=43:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/43Mi)
% 0.19/0.51 % (2669)lrs+10_5:1_br=off:fde=none:nwc=3.0:sd=1:sgt=10:sos=on:ss=axioms:urr=on:i=32:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/32Mi)
% 0.19/0.51 % (2672)Instruction limit reached!
% 0.19/0.51 % (2672)------------------------------
% 0.19/0.51 % (2672)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.51 % (2672)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.51 % (2672)Termination reason: Unknown
% 0.19/0.51 % (2672)Termination phase: Saturation
% 0.19/0.51
% 0.19/0.51 % (2672)Memory used [KB]: 5500
% 0.19/0.51 % (2672)Time elapsed: 0.003 s
% 0.19/0.51 % (2672)Instructions burned: 3 (million)
% 0.19/0.51 % (2672)------------------------------
% 0.19/0.51 % (2672)------------------------------
% 0.19/0.51 % (2673)Refutation found. Thanks to Tanya!
% 0.19/0.51 % SZS status Theorem for theBenchmark
% 0.19/0.51 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.51 % (2673)------------------------------
% 0.19/0.51 % (2673)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.51 % (2673)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.51 % (2673)Termination reason: Refutation
% 0.19/0.51
% 0.19/0.51 % (2673)Memory used [KB]: 5500
% 0.19/0.51 % (2673)Time elapsed: 0.005 s
% 0.19/0.51 % (2673)Instructions burned: 2 (million)
% 0.19/0.51 % (2673)------------------------------
% 0.19/0.51 % (2673)------------------------------
% 0.19/0.51 % (2658)Success in time 0.162 s
%------------------------------------------------------------------------------