%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : ARI716_1 : TPTP v9.3.1. Released v6.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n020.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 09:33:43 AM UTC 2026
% Result : Theorem 6.25s 1.69s
% Output : Refutation 6.25s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 2
% Syntax : Number of formulae : 9 ( 8 unt; 0 typ; 1 def)
% Number of atoms : 10 ( 0 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 4 ( 3 ~; 0 |; 0 &)
% ( 1 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 3 ( 2 avg)
% Number arithmetic : 39 ( 7 atm; 21 fun; 7 num; 4 var)
% Number of types : 1 ( 0 usr; 1 ari; 0 dat; 0 cdt)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 4 ( 1 usr; 2 prp; 0-2 aty)
% Number of functors : 4 ( 1 usr; 2 con; 0-2 aty)
% Number of variables : 4 ( 3 !; 1 ?; 4 :)
% Comments :
%------------------------------------------------------------------------------
tff(func_def_6,type,
sK0: $real ).
tff(f1,conjecture,
! [X0: $real] : $greatereq($floor($sum(X0,1/2)),$floor(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove) ).
tff(f2,negated_conjecture,
~ ! [X0: $real] : $greatereq($floor($sum(X0,1/2)),$floor(X0)),
inference(negated_conjecture,[status(cth)],[f1]) ).
tff(f3,plain,
~ ! [X0: $real] : ~ $less($floor($sum(X0,1/2)),$floor(X0)),
inference(theory_normalization,[],[f2]) ).
tff(f17,plain,
? [X0: $real] : $less($floor($sum(X0,1/2)),$floor(X0)),
inference(ennf_transformation,[],[f3]) ).
tff(f18,plain,
$less($floor($sum(sK0,1/2)),$floor(sK0)),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0]),skolemize(X0,sK0)],[f17]) ).
tff(f19,plain,
$less($floor($sum(sK0,1/2)),$floor(sK0)),
inference(cnf_transformation,[],[f18]) ).
tff(f21,definition,
( spl1_1
<=> $less($floor($sum(sK0,1/2)),$floor(sK0)) ),
introduced(definition,[new_symbols(definition,[spl1_1])],[avatar_definition]) ).
tff(f24,plain,
spl1_1,
inference(avatar_split_clause,[],[f19,f21]) ).
tff(f25,plain,
$false,
inference(avatar_smt_refutation,[],[f24]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ARI716_1 : TPTP v9.3.1. Released v6.3.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.07/0.20 % Computer : n020.cluster.edu
% 0.07/0.20 % Model : x86_64 x86_64
% 0.07/0.20 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.20 % Memory : 8046.5625MB
% 0.07/0.20 % OS : Linux 6.8.0-71-generic
% 0.07/0.20 % CPULimit : 300
% 0.07/0.20 % WCLimit : 300
% 0.07/0.20 % DateTime : Mon Sep 28 21:02:05 UTC 2026
% 0.07/0.20 % CPUTime :
% 0.07/0.20 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.07/0.23 Running first-order theorem proving
% 0.07/0.23 Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 3.64/1.21 % (551298)Detected arithmetic, will pick strategies from an ALASCA-aware ARI schedule.
% 3.64/1.21 % (551303)dis+1002_16:1_to=lpo:sil=64000:sas=z3:si=on:norm_ineq=on:gve=force:uwa=one_side_constant:random_seed=655943431:i=12:doe=on:rtra=on:gtg=exists_top:ss=axioms_2999 on theBenchmark for (2999ds/12Mi)
% 3.64/1.21 % (551303)Instruction limit reached!
% 3.64/1.21 % (551303)------------------------------
% 3.64/1.21 % (551303)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.64/1.21 % (551303)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.64/1.21 % (551303)CaDiCaL version: 2.1.3
% 3.64/1.21 % (551303)Termination reason: Instruction limit
% 3.64/1.21 % (551303)Termination phase: Saturation
% 3.64/1.21 % (551303)Time elapsed: 0.020 s
% 3.64/1.21 % (551303)Peak memory usage: 115 MB
% 3.64/1.21 % (551303)Instructions burned: 14 (million)
% 3.64/1.21 % (551309)lrs+10_1_tgt=ground:sas=z3:si=on:random_seed=2284858907:i=33:rtra=on_2999 on theBenchmark for (2999ds/33Mi)
% 3.64/1.21 % (551307)dis+21_64_to=kbo:sil=128000:si=on:sp=weighted_frequency:uwa=alasca_can_abstract:random_seed=432315943:i=4:rtra=on_2999 on theBenchmark for (2999ds/4Mi)
% 3.64/1.21 % (551306)lrs+1002_4:1_to=lpo:sil=64000:si=on:br=off:random_seed=1812012354:s2a=on:i=7:rtra=on:inst=on_2999 on theBenchmark for (2999ds/7Mi)
% 3.64/1.21 % (551308)lrs+10_1_to=lpo:sas=z3:si=on:tha=off:random_seed=3979991237:i=46:rtra=on_2999 on theBenchmark for (2999ds/46Mi)
% 3.64/1.21 % (551304)dis+1002_1_to=kbo:sil=128000:tgt=ground:sas=z3:si=on:spb=units:tha=off:random_seed=3835867493:i=307:kws=precedence:nm=0:rtra=on_2999 on theBenchmark for (2999ds/307Mi)
% 3.64/1.21 % (551305)dis+10_3_slsqr=1,4:to=lpo:sil=128000:thi=strong:si=on:uwa=off:s2agt=20:slsqc=1:slsq=on:random_seed=1623902507:i=201:slsql=off:asg=cautious:rtra=on:gtg=all:ss=axioms:sgt=16_2999 on theBenchmark for (2999ds/201Mi)
% 3.64/1.21 % (551307)Instruction limit reached!
% 3.64/1.21 % (551307)------------------------------
% 3.64/1.21 % (551307)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.64/1.21 % (551307)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.64/1.21 % (551307)CaDiCaL version: 2.1.3
% 3.64/1.21 % (551307)Termination reason: Instruction limit
% 3.64/1.21 % (551307)Termination phase: Saturation
% 3.64/1.21 % (551307)Time elapsed: 0.004 s
% 3.64/1.21 % (551307)Peak memory usage: 88 MB
% 3.64/1.21 % (551307)Instructions burned: 5 (million)
% 3.64/1.21 % (551306)Instruction limit reached!
% 3.64/1.21 % (551306)------------------------------
% 3.64/1.21 % (551306)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.64/1.21 % (551306)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.64/1.21 % (551306)CaDiCaL version: 2.1.3
% 3.64/1.21 % (551306)Termination reason: Instruction limit
% 3.64/1.21 % (551306)Termination phase: Saturation
% 3.64/1.21 % (551306)Time elapsed: 0.006 s
% 3.64/1.21 % (551306)Peak memory usage: 88 MB
% 3.64/1.21 % (551306)Instructions burned: 9 (million)
% 3.64/1.21 % (551309)Instruction limit reached!
% 3.64/1.21 % (551309)------------------------------
% 3.64/1.21 % (551309)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.64/1.21 % (551309)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.64/1.21 % (551309)CaDiCaL version: 2.1.3
% 3.64/1.21 % (551309)Termination reason: Instruction limit
% 3.64/1.21 % (551309)Termination phase: Saturation
% 3.64/1.21 % (551309)Time elapsed: 0.042 s
% 3.64/1.21 % (551309)Peak memory usage: 115 MB
% 3.64/1.21 % (551309)Instructions burned: 34 (million)
% 3.64/1.21 % (551308)Instruction limit reached!
% 3.64/1.21 % (551308)------------------------------
% 3.64/1.21 % (551308)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.64/1.21 % (551308)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.64/1.21 % (551308)CaDiCaL version: 2.1.3
% 3.64/1.21 % (551308)Termination reason: Instruction limit
% 3.64/1.21 % (551308)Termination phase: Saturation
% 3.64/1.21 % (551308)Time elapsed: 0.050 s
% 3.64/1.21 % (551308)Peak memory usage: 114 MB
% 3.64/1.21 % (551308)Instructions burned: 47 (million)
% 3.64/1.21 % (551311)dis+11_3_anc=none:drc=ordering:si=on:urr=ec_only:bce=on:tha=off:sac=on:random_seed=2168451492:st=5:i=14:sd=10:rtra=on:ss=axioms:rawr=on_2998 on theBenchmark for (2998ds/14Mi)
% 3.64/1.21 % (551311)Refutation not found, incomplete strategy
% 3.64/1.21 % (551311)------------------------------
% 3.64/1.21 % (551311)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.52/1.37 % (551311)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.52/1.37 % (551311)CaDiCaL version: 2.1.3
% 4.52/1.37 % (551311)Termination reason: Refutation not found, incomplete strategy
% 4.52/1.37 % (551311)Time elapsed: 0.0000 s
% 4.52/1.37 % (551311)Peak memory usage: 88 MB
% 4.52/1.37 % (551319)ott+21_1024_to=lakbo:sil=128000:bsd=on:si=on:alasca=on:uwa=alasca_main:nwc=0.5:random_seed=2885933689:cond=on:i=16:fgj=on:ep=RS:asg=force:nm=10:rtra=on:rawr=on_2998 on theBenchmark for (2998ds/16Mi)
% 4.52/1.37 % (551318)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=870577704:i=29:thsqd=64:nm=0:thsqc=8:rtra=on:thsq=on:ev=off_2998 on theBenchmark for (2998ds/29Mi)
% 4.52/1.37 % (551319)Instruction limit reached!
% 4.52/1.37 % (551319)------------------------------
% 4.52/1.37 % (551319)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.52/1.37 % (551319)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.52/1.37 % (551319)CaDiCaL version: 2.1.3
% 4.52/1.37 % (551319)Termination reason: Instruction limit
% 4.52/1.37 % (551319)Termination phase: Saturation
% 4.52/1.37 % (551319)Time elapsed: 0.009 s
% 4.52/1.37 % (551319)Peak memory usage: 90 MB
% 4.52/1.37 % (551319)Instructions burned: 17 (million)
% 4.52/1.37 % (551318)Instruction limit reached!
% 4.52/1.37 % (551318)------------------------------
% 4.52/1.37 % (551318)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.52/1.37 % (551318)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.52/1.37 % (551318)CaDiCaL version: 2.1.3
% 4.52/1.37 % (551318)Termination reason: Instruction limit
% 4.52/1.37 % (551318)Termination phase: Saturation
% 4.52/1.37 % (551318)Time elapsed: 0.019 s
% 4.52/1.37 % (551318)Peak memory usage: 88 MB
% 4.52/1.37 % (551318)Instructions burned: 30 (million)
% 4.52/1.37 % (551305)Instruction limit reached!
% 4.52/1.37 % (551305)------------------------------
% 4.52/1.37 % (551305)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.52/1.37 % (551305)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.52/1.37 % (551305)CaDiCaL version: 2.1.3
% 4.52/1.37 % (551305)Termination reason: Instruction limit
% 4.52/1.37 % (551305)Termination phase: Saturation
% 4.52/1.37 % (551305)Time elapsed: 0.164 s
% 4.52/1.37 % (551305)Peak memory usage: 117 MB
% 4.52/1.37 % (551305)Instructions burned: 202 (million)
% 4.52/1.37 % (551304)Instruction limit reached!
% 4.52/1.37 % (551304)------------------------------
% 4.52/1.37 % (551304)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.52/1.37 % (551304)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.52/1.37 % (551304)CaDiCaL version: 2.1.3
% 4.52/1.37 % (551304)Termination reason: Instruction limit
% 4.52/1.37 % (551304)Termination phase: Saturation
% 4.52/1.37 % (551304)Time elapsed: 0.176 s
% 4.52/1.37 % (551304)Peak memory usage: 115 MB
% 4.52/1.37 % (551304)Instructions burned: 308 (million)
% 4.52/1.37 % (551322)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=528145562:i=27:canc=cautious:fsr=off:rtra=on_2997 on theBenchmark for (2997ds/27Mi)
% 4.52/1.37 % (551320)dis+1011_1_prc=on:drc=off:si=on:sac=on:random_seed=4189014576:i=24:canc=force:rtra=on_2997 on theBenchmark for (2997ds/24Mi)
% 4.52/1.37 % (551322)Instruction limit reached!
% 4.52/1.37 % (551322)------------------------------
% 4.52/1.37 % (551322)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.52/1.37 % (551322)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.52/1.37 % (551322)CaDiCaL version: 2.1.3
% 4.52/1.37 % (551322)Termination reason: Instruction limit
% 4.52/1.37 % (551322)Termination phase: Saturation
% 4.52/1.37 % (551322)Time elapsed: 0.015 s
% 4.52/1.37 % (551322)Peak memory usage: 89 MB
% 4.52/1.37 % (551322)Instructions burned: 29 (million)
% 4.52/1.37 % (551320)Instruction limit reached!
% 4.52/1.37 % (551320)------------------------------
% 4.52/1.37 % (551320)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.52/1.37 % (551320)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.52/1.37 % (551320)CaDiCaL version: 2.1.3
% 4.52/1.37 % (551320)Termination reason: Instruction limit
% 4.52/1.37 % (551320)Termination phase: Saturation
% 4.52/1.37 % (551320)Time elapsed: 0.017 s
% 5.30/1.54 % (551320)Peak memory usage: 89 MB
% 5.30/1.54 % (551320)Instructions burned: 25 (million)
% 5.30/1.54 % (551311)------------------------------
% 5.30/1.54 % (551311)------------------------------
% 5.30/1.54 % (551325)dis+1002_24_to=kbo:sil=128000:si=on:random_seed=562527829:i=85:gtgl=4:rtra=on:gtg=exists_sym_2996 on theBenchmark for (2996ds/85Mi)
% 5.30/1.54 % (551333)ott+1011_1_to=kbo:plsq=on:drc=off:si=on:plsqr=32,1:sp=const_frequency:sos=all:uwa=one_side_interpreted:sac=on:random_seed=3092041834:i=8:ep=RST:nm=16:rtra=on:gtg=exists_top_2996 on theBenchmark for (2996ds/8Mi)
% 5.30/1.54 % (551333)Instruction limit reached!
% 5.30/1.54 % (551333)------------------------------
% 5.30/1.54 % (551333)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.30/1.54 % (551333)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.30/1.54 % (551333)CaDiCaL version: 2.1.3
% 5.30/1.54 % (551333)Termination reason: Instruction limit
% 5.30/1.54 % (551333)Termination phase: Saturation
% 5.30/1.54 % (551333)Time elapsed: 0.003 s
% 5.30/1.54 % (551333)Peak memory usage: 88 MB
% 5.30/1.54 % (551333)Instructions burned: 8 (million)
% 5.30/1.54 % (551326)ott+1002_1_si=on:sp=occurrence:spb=goal:lcm=predicate:random_seed=2634394003:i=2:bd=preordered:nm=2:ins=3:rtra=on:inst=on:tar=off_2996 on theBenchmark for (2996ds/2Mi)
% 5.30/1.54 % (551326)Instruction limit reached!
% 5.30/1.54 % (551326)------------------------------
% 5.30/1.54 % (551326)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.30/1.54 % (551326)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.30/1.54 % (551326)CaDiCaL version: 2.1.3
% 5.30/1.54 % (551326)Termination reason: Instruction limit
% 5.30/1.54 % (551326)Termination phase: Saturation
% 5.30/1.54 % (551326)Time elapsed: 0.003 s
% 5.30/1.54 % (551326)Peak memory usage: 88 MB
% 5.30/1.54 % (551326)Instructions burned: 4 (million)
% 5.30/1.54 % (551327)dis+1010_1_to=kbo:sil=128000:tgt=full:si=on:tha=off:random_seed=789345188:i=181:rtra=on:ss=axioms:ev=cautious_2996 on theBenchmark for (2996ds/181Mi)
% 5.30/1.54 % (551327)Refutation not found, incomplete strategy
% 5.30/1.54 % (551327)------------------------------
% 5.30/1.54 % (551327)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.30/1.54 % (551327)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.30/1.54 % (551327)CaDiCaL version: 2.1.3
% 5.30/1.54 % (551327)Termination reason: Refutation not found, incomplete strategy
% 5.30/1.54 % (551327)Time elapsed: 0.001 s
% 5.30/1.54 % (551327)Peak memory usage: 89 MB
% 5.30/1.54 % (551331)dis+1010_128_isp=bottom:to=lpo:thi=overlap:prc=on:sas=z3:si=on:fd=preordered:random_seed=837332186:i=66:thsqd=64:thsqc=16:rtra=on:thsq=on:ev=force_2996 on theBenchmark for (2996ds/66Mi)
% 5.30/1.54 % (551330)lrs+10_2_to=lpo:sil=64000:si=on:sos=on:gve=force:lcm=reverse:uwa=one_side_interpreted:random_seed=2856983907:i=4:ep=RST:ins=2:rtra=on_2996 on theBenchmark for (2996ds/4Mi)
% 5.30/1.54 % (551330)Instruction limit reached!
% 5.30/1.54 % (551330)------------------------------
% 5.30/1.54 % (551330)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.30/1.54 % (551330)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.30/1.54 % (551330)CaDiCaL version: 2.1.3
% 5.30/1.54 % (551330)Termination reason: Instruction limit
% 5.30/1.54 % (551330)Termination phase: Saturation
% 5.30/1.54 % (551330)Time elapsed: 0.003 s
% 5.30/1.54 % (551330)Peak memory usage: 88 MB
% 5.30/1.54 % (551330)Instructions burned: 4 (million)
% 5.30/1.54 % (551325)Instruction limit reached!
% 5.30/1.54 % (551325)------------------------------
% 5.30/1.54 % (551325)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.30/1.54 % (551325)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.30/1.54 % (551325)CaDiCaL version: 2.1.3
% 5.30/1.54 % (551325)Termination reason: Instruction limit
% 5.30/1.54 % (551325)Termination phase: Saturation
% 5.30/1.54 % (551325)Time elapsed: 0.060 s
% 5.30/1.54 % (551325)Peak memory usage: 89 MB
% 5.30/1.54 % (551325)Instructions burned: 85 (million)
% 5.30/1.54 % (551332)lrs+10_1_thi=all:si=on:fd=off:random_seed=2888648304:i=53:rtra=on:gtg=all_2996 on theBenchmark for (2996ds/53Mi)
% 5.30/1.54 % (551336)lrs+10_1_to=lakbo:sil=128000:si=on:alasca=on:sp=occurrence:random_seed=1017995828:st=3:i=2:rtra=on:ss=axioms_2995 on theBenchmark for (2995ds/2Mi)
% 5.30/1.54 % (551336)Instruction limit reached!
% 5.30/1.54 % (551336)------------------------------
% 6.25/1.69 % (551336)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.25/1.69 % (551336)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.25/1.69 % (551336)CaDiCaL version: 2.1.3
% 6.25/1.69 % (551336)Termination reason: Instruction limit
% 6.25/1.69 % (551336)Termination phase: Saturation
% 6.25/1.69 % (551336)Time elapsed: 0.002 s
% 6.25/1.69 % (551336)Peak memory usage: 90 MB
% 6.25/1.69 % (551336)Instructions burned: 5 (million)
% 6.25/1.69 % (551332)Instruction limit reached!
% 6.25/1.69 % (551332)------------------------------
% 6.25/1.69 % (551332)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.25/1.69 % (551332)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.25/1.69 % (551332)CaDiCaL version: 2.1.3
% 6.25/1.69 % (551332)Termination reason: Instruction limit
% 6.25/1.69 % (551332)Termination phase: Saturation
% 6.25/1.69 % (551332)Time elapsed: 0.060 s
% 6.25/1.69 % (551332)Peak memory usage: 116 MB
% 6.25/1.69 % (551332)Instructions burned: 53 (million)
% 6.25/1.69 % (551331)Instruction limit reached!
% 6.25/1.69 % (551331)------------------------------
% 6.25/1.69 % (551331)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.25/1.69 % (551331)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.25/1.69 % (551331)CaDiCaL version: 2.1.3
% 6.25/1.69 % (551331)Termination reason: Instruction limit
% 6.25/1.69 % (551331)Termination phase: Saturation
% 6.25/1.69 % (551331)Time elapsed: 0.084 s
% 6.25/1.69 % (551331)Peak memory usage: 133 MB
% 6.25/1.69 % (551331)Instructions burned: 67 (million)
% 6.25/1.69 % (551339)dis+1002_1_to=lpo:sil=64000:si=on:flr=on:random_seed=1104569471:i=2:doe=on:canc=force:asg=cautious:rtra=on_2995 on theBenchmark for (2995ds/2Mi)
% 6.25/1.69 % (551339)Instruction limit reached!
% 6.25/1.69 % (551339)------------------------------
% 6.25/1.69 % (551339)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.25/1.69 % (551339)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.25/1.69 % (551339)CaDiCaL version: 2.1.3
% 6.25/1.69 % (551339)Termination reason: Instruction limit
% 6.25/1.69 % (551339)Termination phase: Saturation
% 6.25/1.69 % (551339)Time elapsed: 0.003 s
% 6.25/1.69 % (551339)Peak memory usage: 89 MB
% 6.25/1.69 % (551339)Instructions burned: 3 (million)
% 6.25/1.69 % (551342)lrs+1011_16:1_to=kbo:sil=128000:sas=z3:si=on:sos=theory:erd=off:urr=full:random_seed=1781579834:i=127:doe=on:rtra=on_2995 on theBenchmark for (2995ds/127Mi)
% 6.25/1.69 % (551344)dis+10_1_si=on:random_seed=718166413:i=10:ep=R:rtra=on_2995 on theBenchmark for (2995ds/10Mi)
% 6.25/1.69 % (551344)Instruction limit reached!
% 6.25/1.69 % (551344)------------------------------
% 6.25/1.69 % (551344)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.25/1.69 % (551344)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.25/1.69 % (551344)CaDiCaL version: 2.1.3
% 6.25/1.69 % (551344)Termination reason: Instruction limit
% 6.25/1.69 % (551344)Termination phase: Saturation
% 6.25/1.69 % (551344)Time elapsed: 0.007 s
% 6.25/1.69 % (551344)Peak memory usage: 88 MB
% 6.25/1.69 % (551344)Instructions burned: 11 (million)
% 6.25/1.69 % (551346)lrs-1011_64_to=lpo:si=on:sp=unary_first:sos=on:br=off:random_seed=589699631:i=26:canc=cautious:av=off:rtra=on_2994 on theBenchmark for (2994ds/26Mi)
% 6.25/1.69 % (551346)Refutation not found, incomplete strategy
% 6.25/1.69 % (551346)------------------------------
% 6.25/1.69 % (551346)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.25/1.69 % (551346)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.25/1.69 % (551346)CaDiCaL version: 2.1.3
% 6.25/1.69 % (551346)Termination reason: Refutation not found, incomplete strategy
% 6.25/1.69 % (551346)Time elapsed: 0.001 s
% 6.25/1.69 % (551346)Peak memory usage: 89 MB
% 6.25/1.69 % (551342)First to succeed.
% 6.25/1.69 % (551342)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-551298"
% 6.25/1.69 % (551347)dis+1011_5_anc=all:tgt=full:si=on:sp=const_frequency:spb=non_intro:fd=preordered:sac=on:random_seed=91747907:avsq=on:i=35:doe=on:thsqd=64:nm=64:fsr=off:thsqc=32:rtra=on:tac=light:ss=included:thsq=on:ev=off:sgt=32_2994 on theBenchmark for (2994ds/35Mi)
% 6.25/1.69 % (551348)ott+10_8:1_to=lpo:sil=128000:si=on:fs=off:spb=goal_then_units:uwa=alasca_main:random_seed=1265858661:i=2:fsr=off:rtra=on:inst=on_2994 on theBenchmark for (2994ds/2Mi)
% 6.25/1.69 % (551348)Instruction limit reached!
% 6.25/1.69 % (551348)------------------------------
% 6.25/1.69 % (551348)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.25/1.69 % (551348)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.25/1.69 % (551348)CaDiCaL version: 2.1.3
% 6.25/1.69 % (551348)Termination reason: Instruction limit
% 6.25/1.69 % (551348)Termination phase: Saturation
% 6.25/1.69 % (551348)Time elapsed: 0.003 s
% 6.25/1.69 % (551348)Peak memory usage: 88 MB
% 6.25/1.69 % (551348)Instructions burned: 4 (million)
% 6.25/1.69 % (551327)------------------------------
% 6.25/1.69 % (551327)------------------------------
% 6.25/1.69 % (551350)dis+21_1_to=kbo:sil=128000:si=on:sp=weighted_frequency:uwa=off:s2agt=16:random_seed=1248714914:s2a=on:i=8:kws=inv_precedence:doe=on:rtra=on_2994 on theBenchmark for (2994ds/8Mi)
% 6.25/1.69 % (551347)Instruction limit reached!
% 6.25/1.69 % (551347)------------------------------
% 6.25/1.69 % (551347)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.25/1.69 % (551347)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.25/1.69 % (551347)CaDiCaL version: 2.1.3
% 6.25/1.69 % (551347)Termination reason: Instruction limit
% 6.25/1.69 % (551347)Termination phase: Saturation
% 6.25/1.69 % (551347)Time elapsed: 0.028 s
% 6.25/1.69 % (551347)Peak memory usage: 89 MB
% 6.25/1.69 % (551347)Instructions burned: 36 (million)
% 6.25/1.69 % (551350)Instruction limit reached!
% 6.25/1.69 % (551350)------------------------------
% 6.25/1.69 % (551350)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.25/1.69 % (551350)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.25/1.69 % (551350)CaDiCaL version: 2.1.3
% 6.25/1.69 % (551350)Termination reason: Instruction limit
% 6.25/1.69 % (551350)Termination phase: Saturation
% 6.25/1.69 % (551350)Time elapsed: 0.007 s
% 6.25/1.69 % (551350)Peak memory usage: 88 MB
% 6.25/1.69 % (551350)Instructions burned: 9 (million)
% 6.25/1.69 % (551354)lrs-1011_1_to=kbo:sil=128000:prc=on:si=on:fs=off:tha=off:random_seed=3504068842:i=370:ep=RS:fsr=off:rtra=on_2993 on theBenchmark for (2993ds/370Mi)
% 6.25/1.69 % (551354)Refutation not found, incomplete strategy
% 6.25/1.69 % (551354)------------------------------
% 6.25/1.69 % (551354)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.25/1.69 % (551354)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.25/1.69 % (551354)CaDiCaL version: 2.1.3
% 6.25/1.69 % (551354)Termination reason: Refutation not found, incomplete strategy
% 6.25/1.69 % (551354)Time elapsed: 0.001 s
% 6.25/1.69 % (551354)Peak memory usage: 88 MB
% 6.25/1.69 % (551346)------------------------------
% 6.25/1.69 % (551346)------------------------------
% 6.25/1.69 % (551359)lrs+1002_1_to=lpo:sil=128000:sas=z3:si=on:sos=on:urr=on:tha=off:random_seed=1363828991:i=226:rtra=on:gtg=position:ss=axioms_2992 on theBenchmark for (2992ds/226Mi)
% 6.25/1.69 % (551357)ott+1002_1_to=lpo:thi=overlap:prc=on:bsd=on:si=on:gve=cautious:thigen=on:tha=some:random_seed=3138204402:i=13:av=off:rtra=on:gtg=exists_sym:ev=force_2992 on theBenchmark for (2992ds/13Mi)
% 6.25/1.69 % (551361)lrs+1002_1_to=lpo:thi=strong:sas=z3:si=on:sp=const_frequency:tha=off:random_seed=2775263829:i=71:rtra=on:gtg=exists_top_2992 on theBenchmark for (2992ds/71Mi)
% 6.25/1.69 % (551360)lrs+1010_5_to=lpo:sil=128000:si=on:sp=const_frequency:sos=theory:tha=off:random_seed=1480029505:i=10:rtra=on_2992 on theBenchmark for (2992ds/10Mi)
% 6.25/1.69 % (551360)Refutation not found, incomplete strategy
% 6.25/1.69 % (551360)------------------------------
% 6.25/1.69 % (551360)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.25/1.69 % (551360)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.25/1.69 % (551360)CaDiCaL version: 2.1.3
% 6.25/1.69 % (551360)Termination reason: Refutation not found, incomplete strategy
% 6.25/1.69 % (551360)Time elapsed: 0.001 s
% 6.25/1.69 % (551360)Peak memory usage: 88 MB
% 6.25/1.69 % (551363)lrs+1010_1_to=lpo:prlc=on:sil=128000:prc=on:drc=off:si=on:sp=const_max:thsqr=8,1:tha=some:nwc=5:random_seed=3945393635:i=75:doe=on:thsqd=64:canc=force:thsqc=64:rtra=on:thsq=on_2992 on theBenchmark for (2992ds/75Mi)
% 6.25/1.69 % (551357)Instruction limit reached!
% 6.25/1.69 % (551357)------------------------------
% 6.25/1.69 % (551357)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.25/1.69 % (551357)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.25/1.69 % (551357)CaDiCaL version: 2.1.3
% 6.25/1.69 % (551357)Termination reason: Instruction limit
% 6.25/1.69 % (551357)Termination phase: Saturation
% 6.25/1.69 % (551357)Time elapsed: 0.031 s
% 6.25/1.69 % (551357)Peak memory usage: 116 MB
% 6.25/1.69 % (551357)Instructions burned: 14 (million)
% 6.25/1.69 % (551363)Instruction limit reached!
% 6.25/1.69 % (551363)------------------------------
% 6.25/1.69 % (551363)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.25/1.69 % (551363)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.25/1.69 % (551363)CaDiCaL version: 2.1.3
% 6.25/1.69 % (551363)Termination reason: Instruction limit
% 6.25/1.69 % (551363)Termination phase: Saturation
% 6.25/1.69 % (551363)Time elapsed: 0.019 s
% 6.25/1.69 % (551363)Peak memory usage: 89 MB
% 6.25/1.69 % (551363)Instructions burned: 76 (million)
% 6.25/1.69 % (551359)Also succeeded, but the first one will report.
% 6.25/1.69 % (551361)Aborted by signal SIGSEGV on /export/starexec/sandbox2/benchmark/theBenchmark.p
% 6.25/1.69 % (551361)------------------------------
% 6.25/1.69 % (551361)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.25/1.69 % (551361)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.25/1.69 % (551361)CaDiCaL version: 2.1.3
% 6.25/1.69 % (551361)Termination reason: Unknown
% 6.25/1.69 % (551361)Termination phase: Saturation
% 6.25/1.69 % (551361)Time elapsed: 0.076 s
% 6.25/1.69 % (551361)Peak memory usage: 133 MB
% 6.25/1.69 % (551361)Instructions burned: 58 (million)
% 6.25/1.69 % (551342)Refutation found. Thanks to Tanya!
% 6.25/1.69 % SZS status Theorem for theBenchmark
% 6.25/1.69 % SZS output start Proof for theBenchmark
% See solution above
% 6.25/1.69 % (551342)------------------------------
% 6.25/1.69 % (551342)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.25/1.69 % (551342)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.25/1.69 % (551342)CaDiCaL version: 2.1.3
% 6.25/1.69 % (551342)Termination reason: Refutation
% 6.25/1.69 % (551342)Time elapsed: 0.069 s
% 6.25/1.69 % (551342)Peak memory usage: 117 MB
% 6.25/1.69 % (551342)Instructions burned: 72 (million)
% 6.25/1.69 % (551342)------------------------------
% 6.25/1.69 % (551342)------------------------------
% 6.25/1.69 % (551298)Success in time 0.929 s
% 6.25/1.69 % Vampire exiting
%------------------------------------------------------------------------------