TSTP Solution File: GEG022_1 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : GEG022_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 : n004.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 1.41s 0.54s
% Output : Refutation 1.41s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 11
% Syntax : Number of formulae : 28 ( 10 unt; 9 typ; 0 def)
% Number of atoms : 127 ( 102 equ)
% Maximal formula atoms : 16 ( 6 avg)
% Number of connectives : 125 ( 17 ~; 3 |; 101 &)
% ( 0 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 8 avg)
% Maximal term depth : 3 ( 1 avg)
% Number arithmetic : 148 ( 24 atm; 11 fun; 109 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 : 52 ( 52 !; 0 ?; 52 :)
% 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(f499,plain,
$false,
inference(evaluation,[],[f498]) ).
tff(f498,plain,
~ $less($sum(390,300),700),
inference(forward_demodulation,[],[f476,f40]) ).
tff(f40,plain,
300 = d(frankfurt,munich),
inference(superposition,[],[f25,f26]) ).
tff(f26,plain,
d(munich,frankfurt) = 300,
inference(cnf_transformation,[],[f19]) ).
tff(f19,plain,
( ( d(hamburg,kiel) = 90 )
& ( d(hamburg,berlin) = 250 )
& ( d(berlin,munich) = 510 )
& ( d(saarbruecken,frankfurt) = 160 )
& ! [X0: city,X1: city,X2: city] : ~ $less($sum(d(X2,X0),d(X0,X1)),d(X2,X1))
& ( 360 = d(munich,saarbruecken) )
& ( d(berlin,cologne) = 480 )
& $less(700,d(hamburg,munich))
& ! [X3: city] : ( 0 = d(X3,X3) )
& ( d(munich,frankfurt) = 300 )
& ! [X4: city,X5: city] : ( d(X4,X5) = d(X5,X4) )
& ( d(cologne,frankfurt) = 150 )
& ( d(berlin,frankfurt) = 420 )
& ( d(hamburg,frankfurt) = 390 )
& ( d(saarbruecken,cologne) = 190 )
& ( d(hamburg,cologne) = 360 ) ),
inference(rectify,[],[f18]) ).
tff(f18,plain,
( ( d(hamburg,kiel) = 90 )
& ( d(hamburg,berlin) = 250 )
& ( d(berlin,munich) = 510 )
& ( d(saarbruecken,frankfurt) = 160 )
& ! [X4: city,X5: city,X3: city] : ~ $less($sum(d(X3,X4),d(X4,X5)),d(X3,X5))
& ( 360 = d(munich,saarbruecken) )
& ( d(berlin,cologne) = 480 )
& $less(700,d(hamburg,munich))
& ! [X2: city] : ( 0 = d(X2,X2) )
& ( d(munich,frankfurt) = 300 )
& ! [X1: city,X0: city] : ( d(X0,X1) = d(X1,X0) )
& ( d(cologne,frankfurt) = 150 )
& ( d(berlin,frankfurt) = 420 )
& ( d(hamburg,frankfurt) = 390 )
& ( d(saarbruecken,cologne) = 190 )
& ( d(hamburg,cologne) = 360 ) ),
inference(flattening,[],[f17]) ).
tff(f17,plain,
( $less(700,d(hamburg,munich))
& ( d(berlin,munich) = 510 )
& ! [X4: city,X5: city,X3: city] : ~ $less($sum(d(X3,X4),d(X4,X5)),d(X3,X5))
& ( d(saarbruecken,frankfurt) = 160 )
& ( d(hamburg,cologne) = 360 )
& ( d(hamburg,berlin) = 250 )
& ( d(cologne,frankfurt) = 150 )
& ! [X2: city] : ( 0 = d(X2,X2) )
& ( d(hamburg,kiel) = 90 )
& ( d(munich,frankfurt) = 300 )
& ( 360 = d(munich,saarbruecken) )
& ( d(hamburg,frankfurt) = 390 )
& ! [X1: city,X0: city] : ( d(X0,X1) = d(X1,X0) )
& ( d(berlin,cologne) = 480 )
& ( d(berlin,frankfurt) = 420 )
& ( d(saarbruecken,cologne) = 190 ) ),
inference(ennf_transformation,[],[f16]) ).
tff(f16,plain,
~ ( ( ( d(berlin,munich) = 510 )
& ! [X4: city,X5: city,X3: city] : ~ $less($sum(d(X3,X4),d(X4,X5)),d(X3,X5))
& ( d(saarbruecken,frankfurt) = 160 )
& ( d(hamburg,cologne) = 360 )
& ( d(hamburg,berlin) = 250 )
& ( d(cologne,frankfurt) = 150 )
& ! [X2: city] : ( 0 = d(X2,X2) )
& ( d(hamburg,kiel) = 90 )
& ( d(munich,frankfurt) = 300 )
& ( 360 = d(munich,saarbruecken) )
& ( d(hamburg,frankfurt) = 390 )
& ! [X1: city,X0: city] : ( d(X0,X1) = d(X1,X0) )
& ( d(berlin,cologne) = 480 )
& ( d(berlin,frankfurt) = 420 )
& ( d(saarbruecken,cologne) = 190 ) )
=> ~ $less(700,d(hamburg,munich)) ),
inference(rectify,[],[f3]) ).
tff(f3,plain,
~ ( ( ! [X1: city,X0: city] : ( d(X0,X1) = d(X1,X0) )
& ! [X0: city] : ( d(X0,X0) = 0 )
& ( d(hamburg,frankfurt) = 390 )
& ( d(munich,frankfurt) = 300 )
& ( d(berlin,frankfurt) = 420 )
& ( d(saarbruecken,frankfurt) = 160 )
& ! [X0: city,X1: city,X2: city] : ~ $less($sum(d(X0,X1),d(X1,X2)),d(X0,X2))
& ( d(hamburg,berlin) = 250 )
& ( d(hamburg,cologne) = 360 )
& ( d(saarbruecken,cologne) = 190 )
& ( d(berlin,munich) = 510 )
& ( d(hamburg,kiel) = 90 )
& ( d(berlin,cologne) = 480 )
& ( d(cologne,frankfurt) = 150 )
& ( 360 = d(munich,saarbruecken) ) )
=> ~ $less(700,d(hamburg,munich)) ),
inference(theory_normalization,[],[f2]) ).
tff(f2,negated_conjecture,
~ ( ( ! [X1: city,X0: city] : ( d(X0,X1) = d(X1,X0) )
& ! [X0: city] : ( d(X0,X0) = 0 )
& ( d(hamburg,frankfurt) = 390 )
& ( d(munich,frankfurt) = 300 )
& ( d(berlin,frankfurt) = 420 )
& ( d(saarbruecken,frankfurt) = 160 )
& ! [X0: city,X1: city,X2: city] : $lesseq(d(X0,X2),$sum(d(X0,X1),d(X1,X2)))
& ( d(hamburg,berlin) = 250 )
& ( d(hamburg,cologne) = 360 )
& ( d(saarbruecken,cologne) = 190 )
& ( d(berlin,munich) = 510 )
& ( d(hamburg,kiel) = 90 )
& ( d(berlin,cologne) = 480 )
& ( d(cologne,frankfurt) = 150 )
& ( 360 = d(munich,saarbruecken) ) )
=> $lesseq(d(hamburg,munich),700) ),
inference(negated_conjecture,[],[f1]) ).
tff(f1,conjecture,
( ( ! [X1: city,X0: city] : ( d(X0,X1) = d(X1,X0) )
& ! [X0: city] : ( d(X0,X0) = 0 )
& ( d(hamburg,frankfurt) = 390 )
& ( d(munich,frankfurt) = 300 )
& ( d(berlin,frankfurt) = 420 )
& ( d(saarbruecken,frankfurt) = 160 )
& ! [X0: city,X1: city,X2: city] : $lesseq(d(X0,X2),$sum(d(X0,X1),d(X1,X2)))
& ( d(hamburg,berlin) = 250 )
& ( d(hamburg,cologne) = 360 )
& ( d(saarbruecken,cologne) = 190 )
& ( d(berlin,munich) = 510 )
& ( d(hamburg,kiel) = 90 )
& ( d(berlin,cologne) = 480 )
& ( d(cologne,frankfurt) = 150 )
& ( 360 = d(munich,saarbruecken) ) )
=> $lesseq(d(hamburg,munich),700) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',city_distance_2) ).
tff(f25,plain,
! [X4: city,X5: city] : ( d(X4,X5) = d(X5,X4) ),
inference(cnf_transformation,[],[f19]) ).
tff(f476,plain,
~ $less($sum(390,d(frankfurt,munich)),700),
inference(resolution,[],[f115,f61]) ).
tff(f61,plain,
! [X0: $int] :
( $less(X0,d(hamburg,munich))
| ~ $less(X0,700) ),
inference(resolution,[],[f10,f28]) ).
tff(f28,plain,
$less(700,d(hamburg,munich)),
inference(cnf_transformation,[],[f19]) ).
tff(f10,plain,
! [X2: $int,X0: $int,X1: $int] :
( ~ $less(X1,X2)
| ~ $less(X0,X1)
| $less(X0,X2) ),
introduced(theory_axiom_148,[]) ).
tff(f115,plain,
! [X13: city] : ~ $less($sum(390,d(frankfurt,X13)),d(hamburg,X13)),
inference(superposition,[],[f31,f22]) ).
tff(f22,plain,
d(hamburg,frankfurt) = 390,
inference(cnf_transformation,[],[f19]) ).
tff(f31,plain,
! [X2: city,X0: city,X1: city] : ~ $less($sum(d(X2,X0),d(X0,X1)),d(X2,X1)),
inference(cnf_transformation,[],[f19]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : GEG022=1 : TPTP v8.1.0. Bugfixed v5.2.0.
% 0.06/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.33 % Computer : n004.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Mon Aug 29 20:56:34 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.45 % (2914)fmb+10_1:1_bce=on:fmbsr=1.5:nm=4:skr=on:i=191324:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/191324Mi)
% 0.19/0.46 % (2914)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.19/0.46 % (2914)Terminated due to inappropriate strategy.
% 0.19/0.46 % (2914)------------------------------
% 0.19/0.46 % (2914)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.46 % (2914)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.46 % (2914)Termination reason: Inappropriate
% 0.19/0.46
% 0.19/0.46 % (2914)Memory used [KB]: 895
% 0.19/0.46 % (2914)Time elapsed: 0.003 s
% 0.19/0.46 % (2914)Instructions burned: 1 (million)
% 0.19/0.46 % (2914)------------------------------
% 0.19/0.46 % (2914)------------------------------
% 0.19/0.46 % (2939)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.19/0.46 % (2931)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)
% 0.19/0.47 % (2922)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.19/0.47 % (2922)Instruction limit reached!
% 0.19/0.47 % (2922)------------------------------
% 0.19/0.47 % (2922)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.47 % (2922)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.47 % (2922)Termination reason: Unknown
% 0.19/0.47 % (2922)Termination phase: Property scanning
% 0.19/0.47
% 0.19/0.47 % (2922)Memory used [KB]: 895
% 0.19/0.47 % (2922)Time elapsed: 0.004 s
% 0.19/0.47 % (2922)Instructions burned: 2 (million)
% 0.19/0.47 % (2922)------------------------------
% 0.19/0.47 % (2922)------------------------------
% 0.19/0.47 % (2929)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)
% 0.19/0.49 % (2920)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)
% 0.19/0.50 % (2927)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.19/0.51 % (2940)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.19/0.51 % (2928)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.19/0.51 % (2944)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)
% 0.19/0.51 % (2920)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.19/0.51 % (2920)Terminated due to inappropriate strategy.
% 0.19/0.51 % (2920)------------------------------
% 0.19/0.51 % (2920)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.51 % (2920)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.51 % (2920)Termination reason: Inappropriate
% 0.19/0.51
% 0.19/0.51 % (2920)Memory used [KB]: 895
% 0.19/0.51 % (2920)Time elapsed: 0.002 s
% 0.19/0.51 % (2920)Instructions burned: 1 (million)
% 0.19/0.51 % (2920)------------------------------
% 0.19/0.51 % (2920)------------------------------
% 0.19/0.51 % (2916)ott+4_1:1_av=off:bd=off:nwc=5.0:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.19/0.51 % (2925)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.19/0.51 % (2919)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/48Mi)
% 0.19/0.52 % (2917)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.52 % (2921)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.19/0.52 % (2918)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.52 % (2937)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)
% 0.19/0.53 % (2943)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.19/0.53 % (2915)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)
% 0.19/0.53 % (2930)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)
% 1.41/0.53 % (2935)ott+10_1:8_bsd=on:fsd=on:lcm=predicate:nwc=5.0:s2a=on:s2at=1.5:spb=goal_then_units:i=176:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/176Mi)
% 1.41/0.53 % (2942)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=177:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/177Mi)
% 1.41/0.53 % (2924)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 1.41/0.53 % (2932)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 1.41/0.54 % (2923)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.41/0.54 % (2934)ott+4_1:1_av=off:bd=off:nwc=5.0:rp=on:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 1.41/0.54 % (2944)First to succeed.
% 1.41/0.54 % (2932)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 1.41/0.54 % (2932)Terminated due to inappropriate strategy.
% 1.41/0.54 % (2932)------------------------------
% 1.41/0.54 % (2932)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.41/0.54 % (2932)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.41/0.54 % (2932)Termination reason: Inappropriate
% 1.41/0.54
% 1.41/0.54 % (2932)Memory used [KB]: 895
% 1.41/0.54 % (2932)Time elapsed: 0.002 s
% 1.41/0.54 % (2932)Instructions burned: 1 (million)
% 1.41/0.54 % (2932)------------------------------
% 1.41/0.54 % (2932)------------------------------
% 1.41/0.54 % (2921)Instruction limit reached!
% 1.41/0.54 % (2921)------------------------------
% 1.41/0.54 % (2921)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.41/0.54 % (2921)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.41/0.54 % (2921)Termination reason: Unknown
% 1.41/0.54 % (2921)Termination phase: Saturation
% 1.41/0.54
% 1.41/0.54 % (2921)Memory used [KB]: 5500
% 1.41/0.54 % (2921)Time elapsed: 0.124 s
% 1.41/0.54 % (2921)Instructions burned: 7 (million)
% 1.41/0.54 % (2921)------------------------------
% 1.41/0.54 % (2921)------------------------------
% 1.41/0.54 % (2936)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 1.41/0.54 % (2944)Refutation found. Thanks to Tanya!
% 1.41/0.54 % SZS status Theorem for theBenchmark
% 1.41/0.54 % SZS output start Proof for theBenchmark
% See solution above
% 1.41/0.54 % (2944)------------------------------
% 1.41/0.54 % (2944)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.41/0.54 % (2944)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.41/0.54 % (2944)Termination reason: Refutation
% 1.41/0.54
% 1.41/0.54 % (2944)Memory used [KB]: 5884
% 1.41/0.54 % (2944)Time elapsed: 0.152 s
% 1.41/0.54 % (2944)Instructions burned: 18 (million)
% 1.41/0.54 % (2944)------------------------------
% 1.41/0.54 % (2944)------------------------------
% 1.41/0.54 % (2911)Success in time 0.199 s
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