%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : GEG025_1 : TPTP v9.3.1. Bugfixed v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n018.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 09:50:01 AM UTC 2026
% Result : Theorem 3.08s 1.09s
% Output : Refutation 3.68s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 2
% Syntax : Number of formulae : 23 ( 12 unt; 0 typ; 0 def)
% Number of atoms : 189 ( 152 equ)
% Maximal formula atoms : 24 ( 8 avg)
% Number of connectives : 185 ( 19 ~; 8 |; 154 &)
% ( 0 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 26 ( 9 avg)
% Maximal term depth : 3 ( 1 avg)
% Number arithmetic : 223 ( 36 atm; 11 fun; 172 num; 4 var)
% Number of types : 2 ( 1 usr; 1 ari; 0 dat; 0 cdt)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 4 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 32 ( 10 usr; 29 con; 0-2 aty)
% Number of variables : 60 ( 56 !; 4 ?; 60 :)
% Comments :
%------------------------------------------------------------------------------
tff(type_def_5,type,
city: $tType ).
tff(func_def_0,type,
d: ( city * city ) > $int ).
tff(func_def_1,type,
inh: city > $int ).
tff(func_def_2,type,
kiel: city ).
tff(func_def_3,type,
hamburg: city ).
tff(func_def_4,type,
berlin: city ).
tff(func_def_5,type,
cologne: city ).
tff(func_def_6,type,
frankfurt: city ).
tff(func_def_7,type,
saarbruecken: city ).
tff(func_def_8,type,
munich: city ).
tff(func_def_33,type,
'$inst0': $int ).
tff(f1,conjecture,
( ( ( inh(berlin) = 3442675 )
& ( d(cologne,frankfurt) = 150 )
& ( inh(munich) = 1330440 )
& ( d(munich,saarbruecken) = 360 )
& ( d(berlin,munich) = 510 )
& ( inh(hamburg) = 1774224 )
& ( inh(kiel) = 238281 )
& ( d(hamburg,cologne) = 360 )
& ( d(hamburg,kiel) = 90 )
& ( d(hamburg,berlin) = 250 )
& ( d(munich,frankfurt) = 300 )
& ( d(hamburg,frankfurt) = 390 )
& ( d(berlin,cologne) = 480 )
& ( inh(saarbruecken) = 175810 )
& ( inh(frankfurt) = 671927 )
& ( d(berlin,frankfurt) = 420 )
& ( inh(cologne) = 998105 )
& ! [X0: city] : ( d(X0,X0) = 0 )
& ! [X0: city,X1: city] : ( d(X0,X1) = d(X1,X0) )
& ! [X2: city,X0: city,X1: city] : $lesseq(d(X0,X2),$sum(d(X0,X1),d(X1,X2)))
& ( d(saarbruecken,frankfurt) = 160 )
& ( d(saarbruecken,cologne) = 190 ) )
=> ? [X0: city] :
( $lesseq(3000000,inh(X0))
& $lesseq(d(saarbruecken,X0),600) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',exists_big_city_distance_2) ).
tff(f2,negated_conjecture,
~ ( ( ( inh(berlin) = 3442675 )
& ( d(cologne,frankfurt) = 150 )
& ( inh(munich) = 1330440 )
& ( d(munich,saarbruecken) = 360 )
& ( d(berlin,munich) = 510 )
& ( inh(hamburg) = 1774224 )
& ( inh(kiel) = 238281 )
& ( d(hamburg,cologne) = 360 )
& ( d(hamburg,kiel) = 90 )
& ( d(hamburg,berlin) = 250 )
& ( d(munich,frankfurt) = 300 )
& ( d(hamburg,frankfurt) = 390 )
& ( d(berlin,cologne) = 480 )
& ( inh(saarbruecken) = 175810 )
& ( inh(frankfurt) = 671927 )
& ( d(berlin,frankfurt) = 420 )
& ( inh(cologne) = 998105 )
& ! [X0: city] : ( d(X0,X0) = 0 )
& ! [X0: city,X1: city] : ( d(X0,X1) = d(X1,X0) )
& ! [X2: city,X0: city,X1: city] : $lesseq(d(X0,X2),$sum(d(X0,X1),d(X1,X2)))
& ( d(saarbruecken,frankfurt) = 160 )
& ( d(saarbruecken,cologne) = 190 ) )
=> ? [X0: city] :
( $lesseq(3000000,inh(X0))
& $lesseq(d(saarbruecken,X0),600) ) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
tff(f3,plain,
~ ( ( ( inh(berlin) = 3442675 )
& ( d(cologne,frankfurt) = 150 )
& ( inh(munich) = 1330440 )
& ( d(munich,saarbruecken) = 360 )
& ( d(berlin,munich) = 510 )
& ( inh(hamburg) = 1774224 )
& ( inh(kiel) = 238281 )
& ( d(hamburg,cologne) = 360 )
& ( d(hamburg,kiel) = 90 )
& ( d(hamburg,berlin) = 250 )
& ( d(munich,frankfurt) = 300 )
& ( d(hamburg,frankfurt) = 390 )
& ( d(berlin,cologne) = 480 )
& ( inh(saarbruecken) = 175810 )
& ( inh(frankfurt) = 671927 )
& ( d(berlin,frankfurt) = 420 )
& ( inh(cologne) = 998105 )
& ! [X0: city] : ( d(X0,X0) = 0 )
& ! [X0: city,X1: city] : ( d(X0,X1) = d(X1,X0) )
& ! [X2: city,X0: city,X1: city] : ~ $less($sum(d(X0,X1),d(X1,X2)),d(X0,X2))
& ( d(saarbruecken,frankfurt) = 160 )
& ( d(saarbruecken,cologne) = 190 ) )
=> ? [X0: city] :
( ~ $less(inh(X0),3000000)
& ~ $less(600,d(saarbruecken,X0)) ) ),
inference(theory_normalization,[],[f2]) ).
tff(f10,plain,
! [X2: $int,X0: $int,X1: $int] :
( ~ $less(X1,X2)
| $less(X0,X2)
| ~ $less(X0,X1) ),
introduced(definition,[],[tha_transitivity]) ).
tff(f16,plain,
~ ( ( ( d(hamburg,kiel) = 90 )
& ! [X0: city] : ( d(X0,X0) = 0 )
& ( d(hamburg,cologne) = 360 )
& ! [X5: city,X3: city,X4: city] : ~ $less($sum(d(X4,X5),d(X5,X3)),d(X4,X3))
& ! [X2: city,X1: city] : ( d(X1,X2) = d(X2,X1) )
& ( d(munich,saarbruecken) = 360 )
& ( inh(hamburg) = 1774224 )
& ( inh(kiel) = 238281 )
& ( d(berlin,cologne) = 480 )
& ( d(cologne,frankfurt) = 150 )
& ( inh(saarbruecken) = 175810 )
& ( d(berlin,munich) = 510 )
& ( d(munich,frankfurt) = 300 )
& ( inh(munich) = 1330440 )
& ( d(hamburg,frankfurt) = 390 )
& ( d(berlin,frankfurt) = 420 )
& ( inh(cologne) = 998105 )
& ( d(hamburg,berlin) = 250 )
& ( d(saarbruecken,cologne) = 190 )
& ( inh(frankfurt) = 671927 )
& ( d(saarbruecken,frankfurt) = 160 )
& ( inh(berlin) = 3442675 ) )
=> ? [X6: city] :
( ~ $less(inh(X6),3000000)
& ~ $less(600,d(saarbruecken,X6)) ) ),
inference(rectify,[],[f3]) ).
tff(f17,plain,
( ! [X6: city] :
( $less(600,d(saarbruecken,X6))
| $less(inh(X6),3000000) )
& ( d(hamburg,kiel) = 90 )
& ! [X0: city] : ( d(X0,X0) = 0 )
& ( d(hamburg,cologne) = 360 )
& ! [X5: city,X3: city,X4: city] : ~ $less($sum(d(X4,X5),d(X5,X3)),d(X4,X3))
& ! [X2: city,X1: city] : ( d(X1,X2) = d(X2,X1) )
& ( d(munich,saarbruecken) = 360 )
& ( inh(hamburg) = 1774224 )
& ( inh(kiel) = 238281 )
& ( d(berlin,cologne) = 480 )
& ( d(cologne,frankfurt) = 150 )
& ( inh(saarbruecken) = 175810 )
& ( d(berlin,munich) = 510 )
& ( d(munich,frankfurt) = 300 )
& ( inh(munich) = 1330440 )
& ( d(hamburg,frankfurt) = 390 )
& ( d(berlin,frankfurt) = 420 )
& ( inh(cologne) = 998105 )
& ( d(hamburg,berlin) = 250 )
& ( d(saarbruecken,cologne) = 190 )
& ( inh(frankfurt) = 671927 )
& ( d(saarbruecken,frankfurt) = 160 )
& ( inh(berlin) = 3442675 ) ),
inference(ennf_transformation,[],[f16]) ).
tff(f18,plain,
( ( d(saarbruecken,cologne) = 190 )
& ( d(munich,saarbruecken) = 360 )
& ( d(cologne,frankfurt) = 150 )
& ( d(hamburg,frankfurt) = 390 )
& ( d(munich,frankfurt) = 300 )
& ! [X2: city,X1: city] : ( d(X1,X2) = d(X2,X1) )
& ( inh(berlin) = 3442675 )
& ( d(hamburg,berlin) = 250 )
& ! [X0: city] : ( d(X0,X0) = 0 )
& ( d(berlin,cologne) = 480 )
& ( inh(frankfurt) = 671927 )
& ( inh(hamburg) = 1774224 )
& ( inh(cologne) = 998105 )
& ( d(hamburg,cologne) = 360 )
& ( d(berlin,frankfurt) = 420 )
& ( d(berlin,munich) = 510 )
& ( d(hamburg,kiel) = 90 )
& ( d(saarbruecken,frankfurt) = 160 )
& ! [X5: city,X3: city,X4: city] : ~ $less($sum(d(X4,X5),d(X5,X3)),d(X4,X3))
& ( inh(kiel) = 238281 )
& ! [X6: city] :
( $less(600,d(saarbruecken,X6))
| $less(inh(X6),3000000) )
& ( inh(munich) = 1330440 )
& ( inh(saarbruecken) = 175810 ) ),
inference(flattening,[],[f17]) ).
tff(f19,plain,
( ( d(saarbruecken,cologne) = 190 )
& ( d(munich,saarbruecken) = 360 )
& ( d(cologne,frankfurt) = 150 )
& ( d(hamburg,frankfurt) = 390 )
& ( d(munich,frankfurt) = 300 )
& ! [X0: city,X1: city] : ( d(X0,X1) = d(X1,X0) )
& ( inh(berlin) = 3442675 )
& ( d(hamburg,berlin) = 250 )
& ! [X2: city] : ( 0 = d(X2,X2) )
& ( d(berlin,cologne) = 480 )
& ( inh(frankfurt) = 671927 )
& ( inh(hamburg) = 1774224 )
& ( inh(cologne) = 998105 )
& ( d(hamburg,cologne) = 360 )
& ( d(berlin,frankfurt) = 420 )
& ( d(berlin,munich) = 510 )
& ( d(hamburg,kiel) = 90 )
& ( d(saarbruecken,frankfurt) = 160 )
& ! [X3: city,X4: city,X5: city] : ~ $less($sum(d(X5,X3),d(X3,X4)),d(X5,X4))
& ( inh(kiel) = 238281 )
& ! [X6: city] :
( $less(600,d(saarbruecken,X6))
| $less(inh(X6),3000000) )
& ( inh(munich) = 1330440 )
& ( inh(saarbruecken) = 175810 ) ),
inference(rectify,[],[f18]) ).
tff(f22,plain,
! [X6: city] :
( $less(inh(X6),3000000)
| $less(600,d(saarbruecken,X6)) ),
inference(cnf_transformation,[],[f19]) ).
tff(f24,plain,
! [X3: city,X4: city,X5: city] : ~ $less($sum(d(X5,X3),d(X3,X4)),d(X5,X4)),
inference(cnf_transformation,[],[f19]) ).
tff(f25,plain,
d(saarbruecken,frankfurt) = 160,
inference(cnf_transformation,[],[f19]) ).
tff(f28,plain,
d(berlin,frankfurt) = 420,
inference(cnf_transformation,[],[f19]) ).
tff(f36,plain,
inh(berlin) = 3442675,
inference(cnf_transformation,[],[f19]) ).
tff(f37,plain,
! [X0: city,X1: city] : ( d(X0,X1) = d(X1,X0) ),
inference(cnf_transformation,[],[f19]) ).
tff(f48,plain,
160 = d(frankfurt,saarbruecken),
inference(superposition,[],[f37,f25]) ).
tff(f81,plain,
( $less(600,d(saarbruecken,berlin))
| $less(3442675,3000000) ),
inference(superposition,[],[f22,f36]) ).
tff(f86,plain,
$less(600,d(saarbruecken,berlin)),
inference(evaluation,[],[f81]) ).
tff(f87,plain,
$less(600,d(berlin,saarbruecken)),
inference(forward_demodulation,[],[f86,f37]) ).
tff(f96,plain,
! [X0: city] : ~ $less($sum(420,d(frankfurt,X0)),d(berlin,X0)),
inference(superposition,[],[f24,f28]) ).
tff(f210,plain,
! [X0: $int] :
( $less(X0,d(berlin,saarbruecken))
| ~ $less(X0,600) ),
inference(resolution,[],[f87,f10]) ).
tff(f508,plain,
~ $less($sum(420,d(frankfurt,saarbruecken)),600),
inference(resolution,[],[f96,f210]) ).
tff(f536,plain,
~ $less($sum(420,160),600),
inference(forward_demodulation,[],[f508,f48]) ).
tff(f537,plain,
$false,
inference(evaluation,[],[f536]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEG025_1 : TPTP v9.3.1. Bugfixed v5.2.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.38 % Computer : n018.cluster.edu
% 0.11/0.38 % Model : x86_64 x86_64
% 0.11/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.38 % Memory : 8046.5625MB
% 0.11/0.38 % OS : Linux 6.8.0-71-generic
% 0.11/0.38 % CPULimit : 300
% 0.11/0.38 % WCLimit : 300
% 0.11/0.38 % DateTime : Sun Sep 27 06:32:23 UTC 2026
% 0.11/0.39 % CPUTime :
% 0.11/0.39 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.42 Running first-order theorem proving
% 0.11/0.42 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 3.08/1.09 % (1967712)Detected arithmetic, will pick strategies from an ALASCA-aware ARI schedule.
% 3.08/1.09 % (1967722)lrs+10_1_to=lpo:sas=z3:si=on:tha=off:random_seed=4181231478:i=46:rtra=on_2999 on theBenchmark for (2999ds/46Mi)
% 3.08/1.09 % (1967717)dis+1002_16:1_to=lpo:sil=64000:sas=z3:si=on:norm_ineq=on:gve=force:uwa=one_side_constant:random_seed=2143313916:i=12:doe=on:rtra=on:gtg=exists_top:ss=axioms_2999 on theBenchmark for (2999ds/12Mi)
% 3.08/1.09 % (1967721)dis+21_64_to=kbo:sil=128000:si=on:sp=weighted_frequency:uwa=alasca_can_abstract:random_seed=3993558934:i=4:rtra=on_2999 on theBenchmark for (2999ds/4Mi)
% 3.08/1.09 % (1967720)lrs+1002_4:1_to=lpo:sil=64000:si=on:br=off:random_seed=423141211:s2a=on:i=7:rtra=on:inst=on_2999 on theBenchmark for (2999ds/7Mi)
% 3.08/1.09 % (1967723)lrs+10_1_tgt=ground:sas=z3:si=on:random_seed=2154127371:i=33:rtra=on_2999 on theBenchmark for (2999ds/33Mi)
% 3.08/1.09 % (1967719)dis+10_3_slsqr=1,4:to=lpo:sil=128000:thi=strong:si=on:uwa=off:s2agt=20:slsqc=1:slsq=on:random_seed=4288030593:i=201:slsql=off:asg=cautious:rtra=on:gtg=all:ss=axioms:sgt=16_2999 on theBenchmark for (2999ds/201Mi)
% 3.08/1.09 % (1967718)dis+1002_1_to=kbo:sil=128000:tgt=ground:sas=z3:si=on:spb=units:tha=off:random_seed=4183602330:i=307:kws=precedence:nm=0:rtra=on_2999 on theBenchmark for (2999ds/307Mi)
% 3.08/1.09 % (1967721)Instruction limit reached!
% 3.08/1.09 % (1967721)------------------------------
% 3.08/1.09 % (1967721)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.08/1.09 % (1967721)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.08/1.09 % (1967721)CaDiCaL version: 2.1.3
% 3.08/1.09 % (1967721)Termination reason: Instruction limit
% 3.08/1.09 % (1967721)Termination phase: Saturation
% 3.08/1.09 % (1967721)Time elapsed: 0.003 s
% 3.08/1.09 % (1967721)Peak memory usage: 88 MB
% 3.08/1.09 % (1967721)Instructions burned: 4 (million)
% 3.08/1.09 % (1967720)Instruction limit reached!
% 3.08/1.09 % (1967720)------------------------------
% 3.08/1.09 % (1967720)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.08/1.09 % (1967720)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.08/1.09 % (1967720)CaDiCaL version: 2.1.3
% 3.08/1.09 % (1967720)Termination reason: Instruction limit
% 3.08/1.09 % (1967720)Termination phase: Saturation
% 3.08/1.09 % (1967720)Time elapsed: 0.005 s
% 3.08/1.09 % (1967720)Peak memory usage: 88 MB
% 3.08/1.09 % (1967720)Instructions burned: 8 (million)
% 3.08/1.09 % (1967717)Instruction limit reached!
% 3.08/1.09 % (1967717)------------------------------
% 3.08/1.09 % (1967717)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.08/1.09 % (1967717)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.08/1.09 % (1967717)CaDiCaL version: 2.1.3
% 3.08/1.09 % (1967717)Termination reason: Instruction limit
% 3.08/1.09 % (1967717)Termination phase: Saturation
% 3.08/1.09 % (1967717)Time elapsed: 0.029 s
% 3.08/1.09 % (1967717)Peak memory usage: 115 MB
% 3.08/1.09 % (1967717)Instructions burned: 12 (million)
% 3.08/1.09 % (1967723)Instruction limit reached!
% 3.08/1.09 % (1967723)------------------------------
% 3.08/1.09 % (1967723)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.08/1.09 % (1967723)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.08/1.09 % (1967723)CaDiCaL version: 2.1.3
% 3.08/1.09 % (1967723)Termination reason: Instruction limit
% 3.08/1.09 % (1967723)Termination phase: Saturation
% 3.08/1.09 % (1967723)Time elapsed: 0.042 s
% 3.08/1.09 % (1967723)Peak memory usage: 115 MB
% 3.08/1.09 % (1967723)Instructions burned: 33 (million)
% 3.08/1.09 % (1967719)First to succeed.
% 3.08/1.09 % (1967719)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-1967712"
% 3.08/1.09 % (1967722)Instruction limit reached!
% 3.08/1.09 % (1967722)------------------------------
% 3.08/1.09 % (1967722)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.08/1.09 % (1967722)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.08/1.09 % (1967722)CaDiCaL version: 2.1.3
% 3.08/1.09 % (1967722)Termination reason: Instruction limit
% 3.08/1.09 % (1967722)Termination phase: Saturation
% 3.08/1.09 % (1967722)Time elapsed: 0.051 s
% 3.08/1.09 % (1967722)Peak memory usage: 115 MB
% 3.08/1.09 % (1967722)Instructions burned: 46 (million)
% 3.08/1.09 % (1967731)dis+11_3_anc=none:drc=ordering:si=on:urr=ec_only:bce=on:tha=off:sac=on:random_seed=1794301297:st=5:i=14:sd=10:rtra=on:ss=axioms:rawr=on_2998 on theBenchmark for (2998ds/14Mi)
% 3.08/1.09 % (1967732)dis+1011_2:1_to=kbo:sil=128000:tgt=full:fde=none:si=on:norm_ineq=on:spb=goal_then_units:tha=some:nwc=2:sac=on:random_seed=912682718:i=29:thsqd=64:nm=0:thsqc=8:rtra=on:thsq=on:ev=off_2998 on theBenchmark for (2998ds/29Mi)
% 3.08/1.09 % (1967731)Instruction limit reached!
% 3.08/1.09 % (1967731)------------------------------
% 3.08/1.09 % (1967731)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.08/1.09 % (1967731)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.08/1.09 % (1967731)CaDiCaL version: 2.1.3
% 3.08/1.09 % (1967731)Termination reason: Instruction limit
% 3.08/1.09 % (1967731)Termination phase: Saturation
% 3.08/1.09 % (1967731)Time elapsed: 0.010 s
% 3.08/1.09 % (1967731)Peak memory usage: 88 MB
% 3.08/1.09 % (1967731)Instructions burned: 15 (million)
% 3.08/1.09 % (1967732)Instruction limit reached!
% 3.08/1.09 % (1967732)------------------------------
% 3.08/1.09 % (1967732)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.08/1.09 % (1967732)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.08/1.09 % (1967732)CaDiCaL version: 2.1.3
% 3.08/1.09 % (1967732)Termination reason: Instruction limit
% 3.08/1.09 % (1967732)Termination phase: Saturation
% 3.08/1.09 % (1967732)Time elapsed: 0.020 s
% 3.08/1.09 % (1967732)Peak memory usage: 88 MB
% 3.08/1.09 % (1967732)Instructions burned: 30 (million)
% 3.08/1.09 % (1967734)dis+1011_1_prc=on:drc=off:si=on:sac=on:random_seed=4033436687:i=24:canc=force:rtra=on_2997 on theBenchmark for (2997ds/24Mi)
% 3.08/1.09 % (1967733)ott+21_1024_to=lakbo:sil=128000:bsd=on:si=on:alasca=on:uwa=alasca_main:nwc=0.5:random_seed=3079362390:cond=on:i=16:fgj=on:ep=RS:asg=force:nm=10:rtra=on:rawr=on_2998 on theBenchmark for (2998ds/16Mi)
% 3.08/1.09 % (1967735)ott+1010_8_to=lpo:sil=128000:si=on:norm_ineq=on:sp=unary_frequency:sos=on:gve=cautious:spb=goal_then_units:uwa=alasca_main_floor:tha=some:random_seed=1448220281:i=27:canc=cautious:fsr=off:rtra=on_2997 on theBenchmark for (2997ds/27Mi)
% 3.08/1.09 % (1967733)Instruction limit reached!
% 3.08/1.09 % (1967733)------------------------------
% 3.08/1.09 % (1967733)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.08/1.09 % (1967733)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.08/1.09 % (1967733)CaDiCaL version: 2.1.3
% 3.08/1.09 % (1967733)Termination reason: Instruction limit
% 3.08/1.09 % (1967733)Termination phase: Saturation
% 3.08/1.09 % (1967733)Time elapsed: 0.012 s
% 3.08/1.09 % (1967733)Peak memory usage: 90 MB
% 3.08/1.09 % (1967733)Instructions burned: 17 (million)
% 3.08/1.09 % (1967718)Instruction limit reached!
% 3.08/1.09 % (1967718)------------------------------
% 3.08/1.09 % (1967718)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.08/1.09 % (1967718)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.08/1.09 % (1967718)CaDiCaL version: 2.1.3
% 3.08/1.09 % (1967718)Termination reason: Instruction limit
% 3.08/1.09 % (1967718)Termination phase: Saturation
% 3.08/1.09 % (1967718)Time elapsed: 0.206 s
% 3.08/1.09 % (1967718)Peak memory usage: 116 MB
% 3.08/1.09 % (1967718)Instructions burned: 307 (million)
% 3.08/1.09 % (1967734)Instruction limit reached!
% 3.08/1.09 % (1967734)------------------------------
% 3.08/1.09 % (1967734)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.08/1.09 % (1967734)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.08/1.09 % (1967734)CaDiCaL version: 2.1.3
% 3.08/1.09 % (1967734)Termination reason: Instruction limit
% 3.08/1.09 % (1967734)Termination phase: Saturation
% 3.08/1.09 % (1967734)Time elapsed: 0.018 s
% 3.08/1.09 % (1967734)Peak memory usage: 89 MB
% 3.08/1.09 % (1967734)Instructions burned: 24 (million)
% 3.08/1.09 % (1967735)Instruction limit reached!
% 3.08/1.09 % (1967735)------------------------------
% 3.08/1.09 % (1967735)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.08/1.09 % (1967735)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.08/1.09 % (1967735)CaDiCaL version: 2.1.3
% 3.08/1.09 % (1967735)Termination reason: Instruction limit
% 3.08/1.09 % (1967735)Termination phase: Saturation
% 3.08/1.09 % (1967735)Time elapsed: 0.010 s
% 3.08/1.09 % (1967735)Peak memory usage: 89 MB
% 3.08/1.09 % (1967735)Instructions burned: 28 (million)
% 3.08/1.09 % (1967719)Refutation found. Thanks to Tanya!
% 3.08/1.09 % SZS status Theorem for theBenchmark
% 3.08/1.09 % SZS output start Proof for theBenchmark
% See solution above
% 3.68/1.29 % (1967719)------------------------------
% 3.68/1.29 % (1967719)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.68/1.29 % (1967719)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.68/1.29 % (1967719)CaDiCaL version: 2.1.3
% 3.68/1.29 % (1967719)Termination reason: Refutation
% 3.68/1.29 % (1967719)Time elapsed: 0.045 s
% 3.68/1.29 % (1967719)Peak memory usage: 116 MB
% 3.68/1.29 % (1967719)Instructions burned: 30 (million)
% 3.68/1.29 % (1967719)------------------------------
% 3.68/1.29 % (1967719)------------------------------
% 3.68/1.29 % (1967712)Success in time 0.465 s
% 3.68/1.29 % Vampire exiting
%------------------------------------------------------------------------------