%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : ARI616_1 : TPTP v9.3.1. Released v5.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n015.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 09:34:58 AM UTC 2026
% Result : Theorem 9.99s 1.86s
% Output : Refutation 9.99s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : ARI616_1 : TPTP v9.3.1. Released v5.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.09/0.20 % Computer : n015.cluster.edu
% 0.09/0.20 % Model : x86_64 x86_64
% 0.09/0.20 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.20 % Memory : 8046.5625MB
% 0.09/0.20 % OS : Linux 6.8.0-71-generic
% 0.09/0.20 % CPULimit : 300
% 0.09/0.20 % WCLimit : 300
% 0.09/0.20 % DateTime : Mon Sep 28 20:56:47 UTC 2026
% 0.09/0.20 % CPUTime :
% 0.09/0.20 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.09/0.24 Running first-order model finding
% 0.09/0.24 Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 5.67/1.12 % (3008443)Will run a generic schedule for satisfiability detection.
% 5.67/1.12 % (3008449)% WARNING: option uhcvi not known.
% 5.67/1.12 % (3008449)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2756842248:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 5.67/1.12 % (3008448)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=3811827278_2999 on theBenchmark for (2999ds/0Mi)
% 5.67/1.12 % (3008452)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2912221664:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 5.67/1.12 % (3008450)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=181724121:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 5.67/1.12 % (3008451)dis+10_1_sil=32000:sp=arity:random_seed=3449369619:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 5.67/1.12 % (3008448)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 5.67/1.12 % (3008448)Terminated due to inappropriate strategy.
% 5.67/1.12 % (3008448)------------------------------
% 5.67/1.12 % (3008448)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.67/1.12 % (3008448)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.67/1.12 % (3008448)CaDiCaL version: 2.1.3
% 5.67/1.12 % (3008448)Termination reason: Inappropriate
% 5.67/1.12 % (3008448)Time elapsed: 0.001 s
% 5.67/1.12 % (3008448)Peak memory usage: 10 MB
% 5.67/1.12 % (3008448)------------------------------
% 5.67/1.12 % (3008448)------------------------------
% 5.67/1.12 % (3008454)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=4110543107:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 5.67/1.12 % (3008453)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=3414758619:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 5.67/1.12 % (3008460)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=1258080861:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 5.67/1.12 % (3008460)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 5.67/1.12 % (3008460)Terminated due to inappropriate strategy.
% 5.67/1.12 % (3008460)------------------------------
% 5.67/1.12 % (3008460)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.67/1.12 % (3008460)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.67/1.12 % (3008460)CaDiCaL version: 2.1.3
% 5.67/1.12 % (3008460)Termination reason: Inappropriate
% 5.67/1.12 % (3008460)Time elapsed: 0.0000 s
% 5.67/1.12 % (3008460)Peak memory usage: 10 MB
% 5.67/1.12 % (3008460)------------------------------
% 5.67/1.12 % (3008460)------------------------------
% 5.67/1.12 % (3008464)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=4163652213:i=131:bd=preordered:fsd=on_2999 on theBenchmark for (2999ds/131Mi)
% 5.67/1.12 % (3008451)Instruction limit reached!
% 5.67/1.12 % (3008451)------------------------------
% 5.67/1.12 % (3008451)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.67/1.12 % (3008451)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.67/1.12 % (3008451)CaDiCaL version: 2.1.3
% 5.67/1.12 % (3008451)Termination reason: Instruction limit
% 5.67/1.12 % (3008451)Termination phase: Saturation
% 5.67/1.12 % (3008451)Time elapsed: 0.072 s
% 5.67/1.12 % (3008451)Peak memory usage: 12 MB
% 5.67/1.12 % (3008451)Instructions burned: 104 (million)
% 5.67/1.12 % (3008452)Instruction limit reached!
% 5.67/1.12 % (3008452)------------------------------
% 5.67/1.12 % (3008452)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.67/1.12 % (3008452)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.67/1.12 % (3008452)CaDiCaL version: 2.1.3
% 5.67/1.12 % (3008452)Termination reason: Instruction limit
% 5.67/1.12 % (3008452)Termination phase: Saturation
% 5.67/1.12 % (3008452)Time elapsed: 0.079 s
% 5.67/1.12 % (3008452)Peak memory usage: 12 MB
% 5.67/1.12 % (3008452)Instructions burned: 117 (million)
% 5.67/1.12 % (3008454)Instruction limit reached!
% 5.67/1.12 % (3008454)------------------------------
% 5.67/1.12 % (3008454)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.67/1.12 % (3008454)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.67/1.12 % (3008454)CaDiCaL version: 2.1.3
% 5.67/1.12 % (3008454)Termination reason: Instruction limit
% 5.67/1.12 % (3008454)Termination phase: Saturation
% 5.67/1.12 % (3008454)Time elapsed: 0.079 s
% 8.68/1.67 % (3008454)Peak memory usage: 14 MB
% 8.68/1.67 % (3008454)Instructions burned: 160 (million)
% 8.68/1.67 % (3008476)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=1246283459:i=477:bd=all_2998 on theBenchmark for (2998ds/477Mi)
% 8.68/1.67 % (3008474)dis+11_32_anc=none:slsqr=2,1:sil=64000:sas=cadical:lma=off:lsd=50:s2agt=8:slsqc=1:kmz=on:newcnf=on:slsq=on:random_seed=1349450102:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 8.68/1.67 % (3008475)ott-21_1_sil=16000:fs=off:random_seed=4022552688:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 8.68/1.67 % (3008453)Instruction limit reached!
% 8.68/1.67 % (3008453)------------------------------
% 8.68/1.67 % (3008453)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.68/1.67 % (3008453)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.68/1.67 % (3008453)CaDiCaL version: 2.1.3
% 8.68/1.67 % (3008453)Termination reason: Instruction limit
% 8.68/1.67 % (3008453)Termination phase: Saturation
% 8.68/1.67 % (3008453)Time elapsed: 0.102 s
% 8.68/1.67 % (3008453)Peak memory usage: 13 MB
% 8.68/1.67 % (3008453)Instructions burned: 131 (million)
% 8.68/1.67 % (3008480)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=3623910359:fmbsr=1.3:i=865:ins=25_2998 on theBenchmark for (2998ds/865Mi)
% 8.68/1.67 % (3008480)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 8.68/1.67 % (3008480)Terminated due to inappropriate strategy.
% 8.68/1.67 % (3008480)------------------------------
% 8.68/1.67 % (3008480)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.68/1.67 % (3008480)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.68/1.67 % (3008480)CaDiCaL version: 2.1.3
% 8.68/1.67 % (3008480)Termination reason: Inappropriate
% 8.68/1.67 % (3008480)Time elapsed: 0.001 s
% 8.68/1.67 % (3008480)Peak memory usage: 10 MB
% 8.68/1.67 % (3008480)------------------------------
% 8.68/1.67 % (3008480)------------------------------
% 8.68/1.67 % (3008464)Instruction limit reached!
% 8.68/1.67 % (3008464)------------------------------
% 8.68/1.67 % (3008464)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.68/1.67 % (3008464)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.68/1.67 % (3008464)CaDiCaL version: 2.1.3
% 8.68/1.67 % (3008464)Termination reason: Instruction limit
% 8.68/1.67 % (3008464)Termination phase: Saturation
% 8.68/1.67 % (3008464)Time elapsed: 0.128 s
% 8.68/1.67 % (3008464)Peak memory usage: 13 MB
% 8.68/1.67 % (3008464)Instructions burned: 132 (million)
% 8.68/1.67 % (3008482)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=2811724112:i=1179_2998 on theBenchmark for (2998ds/1179Mi)
% 8.68/1.67 % (3008483)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=230728815:i=889:ins=1_2997 on theBenchmark for (2997ds/889Mi)
% 8.68/1.67 % (3008483)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 8.68/1.67 % (3008483)Terminated due to inappropriate strategy.
% 8.68/1.67 % (3008483)------------------------------
% 8.68/1.67 % (3008483)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.68/1.67 % (3008483)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.68/1.67 % (3008483)CaDiCaL version: 2.1.3
% 8.68/1.67 % (3008483)Termination reason: Inappropriate
% 8.68/1.67 % (3008483)Time elapsed: 0.001 s
% 8.68/1.67 % (3008483)Peak memory usage: 10 MB
% 8.68/1.67 % (3008483)------------------------------
% 8.68/1.67 % (3008483)------------------------------
% 8.68/1.67 % (3008486)ott+1_16_sil=32000:plsq=on:plsqc=2:sas=cadical:avsql=on:sp=reverse_frequency:plsqr=128,1:bsr=unit_only:rp=on:newcnf=on:random_seed=171384603:avsq=on:s2a=on:i=692:avsqr=8,1:kws=arity_squared:bs=unit_only:nm=2:rawr=on_2997 on theBenchmark for (2997ds/692Mi)
% 8.68/1.67 % (3008475)Instruction limit reached!
% 8.68/1.67 % (3008475)------------------------------
% 8.68/1.67 % (3008475)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.68/1.67 % (3008475)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.68/1.67 % (3008475)CaDiCaL version: 2.1.3
% 8.68/1.67 % (3008475)Termination reason: Instruction limit
% 8.68/1.67 % (3008475)Termination phase: Saturation
% 8.68/1.67 % (3008475)Time elapsed: 0.124 s
% 8.68/1.67 % (3008475)Peak memory usage: 12 MB
% 8.68/1.67 % (3008475)Instructions burned: 180 (million)
% 8.68/1.67 % (3008488)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=2217931923:i=879:kws=inv_precedence:fsr=off_2997 on theBenchmark for (2997ds/879Mi)
% 9.99/1.86 % (3008476)Instruction limit reached!
% 9.99/1.86 % (3008476)------------------------------
% 9.99/1.86 % (3008476)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.99/1.86 % (3008476)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.99/1.86 % (3008476)CaDiCaL version: 2.1.3
% 9.99/1.86 % (3008476)Termination reason: Instruction limit
% 9.99/1.86 % (3008476)Termination phase: Saturation
% 9.99/1.86 % (3008476)Time elapsed: 0.247 s
% 9.99/1.86 % (3008476)Peak memory usage: 13 MB
% 9.99/1.86 % (3008476)Instructions burned: 477 (million)
% 9.99/1.86 % (3008499)fmb+10_1_sil=64000:random_seed=3025692125:i=22061:nm=2:gsp=on_2996 on theBenchmark for (2996ds/22061Mi)
% 9.99/1.86 % (3008499)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 9.99/1.86 % (3008499)Terminated due to inappropriate strategy.
% 9.99/1.86 % (3008499)------------------------------
% 9.99/1.86 % (3008499)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.99/1.86 % (3008499)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.99/1.86 % (3008499)CaDiCaL version: 2.1.3
% 9.99/1.86 % (3008499)Termination reason: Inappropriate
% 9.99/1.86 % (3008499)Time elapsed: 0.0000 s
% 9.99/1.86 % (3008499)Peak memory usage: 10 MB
% 9.99/1.86 % (3008499)------------------------------
% 9.99/1.86 % (3008499)------------------------------
% 9.99/1.86 % (3008501)fmb+10_1_sil=16000:sas=cadical:fmbss=20:random_seed=1101310304:i=9515:nm=5_2995 on theBenchmark for (2995ds/9515Mi)
% 9.99/1.86 % (3008501)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 9.99/1.86 % (3008501)Terminated due to inappropriate strategy.
% 9.99/1.86 % (3008501)------------------------------
% 9.99/1.86 % (3008501)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.99/1.86 % (3008501)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.99/1.86 % (3008501)CaDiCaL version: 2.1.3
% 9.99/1.86 % (3008501)Termination reason: Inappropriate
% 9.99/1.86 % (3008501)Time elapsed: 0.0000 s
% 9.99/1.86 % (3008501)Peak memory usage: 10 MB
% 9.99/1.86 % (3008501)------------------------------
% 9.99/1.86 % (3008501)------------------------------
% 9.99/1.86 % (3008503)fmb+10_1_sil=64000:sas=cadical:fmbss=8:random_seed=1951873689:fmbsr=1.7:i=920_2995 on theBenchmark for (2995ds/920Mi)
% 9.99/1.86 % (3008503)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 9.99/1.86 % (3008503)Terminated due to inappropriate strategy.
% 9.99/1.86 % (3008503)------------------------------
% 9.99/1.86 % (3008503)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.99/1.86 % (3008503)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.99/1.86 % (3008503)CaDiCaL version: 2.1.3
% 9.99/1.86 % (3008503)Termination reason: Inappropriate
% 9.99/1.86 % (3008503)Time elapsed: 0.0000 s
% 9.99/1.86 % (3008503)Peak memory usage: 10 MB
% 9.99/1.86 % (3008503)------------------------------
% 9.99/1.86 % (3008503)------------------------------
% 9.99/1.86 % (3008505)dis-4_1_sil=16000:drc=ordering:sp=const_frequency:sac=on:newcnf=on:random_seed=955598442:i=5131_2995 on theBenchmark for (2995ds/5131Mi)
% 9.99/1.86 % (3008474)Instruction limit reached!
% 9.99/1.86 % (3008474)------------------------------
% 9.99/1.86 % (3008474)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.99/1.86 % (3008474)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.99/1.86 % (3008474)CaDiCaL version: 2.1.3
% 9.99/1.86 % (3008474)Termination reason: Instruction limit
% 9.99/1.86 % (3008474)Termination phase: Saturation
% 9.99/1.86 % (3008474)Time elapsed: 0.490 s
% 9.99/1.86 % (3008474)Peak memory usage: 15 MB
% 9.99/1.86 % (3008474)Instructions burned: 684 (million)
% 9.99/1.86 % (3008511)ott+11_16_sil=32000:fde=unused:bsd=on:sas=cadical:sp=arity:spb=units:lsd=10:nwc=3:random_seed=3678280418:i=1472:ins=7:fdi=8:gsp=on_2993 on theBenchmark for (2993ds/1472Mi)
% 9.99/1.86 % (3008486)Instruction limit reached!
% 9.99/1.86 % (3008486)------------------------------
% 9.99/1.86 % (3008486)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.99/1.86 % (3008486)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.99/1.86 % (3008486)CaDiCaL version: 2.1.3
% 9.99/1.86 % (3008486)Termination reason: Instruction limit
% 9.99/1.86 % (3008486)Termination phase: Saturation
% 9.99/1.86 % (3008486)Time elapsed: 0.607 s
% 9.99/1.86 % (3008486)Peak memory usage: 17 MB
% 9.99/1.86 % (3008486)Instructions burned: 692 (million)
% 9.99/1.86 % (3008518)fmb+10_1_sil=16000:sas=cadical:bce=on:fmbss=77:random_seed=562921350:i=6324_2991 on theBenchmark for (2991ds/6324Mi)
% 9.99/1.86 % (3008518)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 9.99/1.86 % (3008518)Terminated due to inappropriate strategy.
% 9.99/1.86 % (3008518)------------------------------
% 9.99/1.86 % (3008518)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.99/1.86 % (3008518)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.99/1.86 % (3008518)CaDiCaL version: 2.1.3
% 9.99/1.86 % (3008518)Termination reason: Inappropriate
% 9.99/1.86 % (3008518)Time elapsed: 0.0000 s
% 9.99/1.86 % (3008518)Peak memory usage: 10 MB
% 9.99/1.86 % (3008518)------------------------------
% 9.99/1.86 % (3008518)------------------------------
% 9.99/1.86 % (3008520)fmb+10_1_fmbas=function:sil=32000:sas=cadical:fmbss=16:random_seed=2913464376:fmbsr=2.30978:i=2174_2991 on theBenchmark for (2991ds/2174Mi)
% 9.99/1.86 % (3008520)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 9.99/1.86 % (3008520)Terminated due to inappropriate strategy.
% 9.99/1.86 % (3008520)------------------------------
% 9.99/1.86 % (3008520)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.99/1.86 % (3008520)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.99/1.86 % (3008520)CaDiCaL version: 2.1.3
% 9.99/1.86 % (3008520)Termination reason: Inappropriate
% 9.99/1.86 % (3008520)Time elapsed: 0.0000 s
% 9.99/1.86 % (3008520)Peak memory usage: 10 MB
% 9.99/1.86 % (3008520)------------------------------
% 9.99/1.86 % (3008520)------------------------------
% 9.99/1.86 % (3008522)ott-2_1_sil=16000:newcnf=on:random_seed=2265248509:avsq=on:i=869:avsqr=1,16:kws=inv_arity_squared_2990 on theBenchmark for (2990ds/869Mi)
% 9.99/1.86 % (3008488)Instruction limit reached!
% 9.99/1.86 % (3008488)------------------------------
% 9.99/1.86 % (3008488)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.99/1.86 % (3008488)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.99/1.86 % (3008488)CaDiCaL version: 2.1.3
% 9.99/1.86 % (3008488)Termination reason: Instruction limit
% 9.99/1.86 % (3008488)Termination phase: Saturation
% 9.99/1.86 % (3008488)Time elapsed: 0.687 s
% 9.99/1.86 % (3008488)Peak memory usage: 21 MB
% 9.99/1.86 % (3008488)Instructions burned: 880 (million)
% 9.99/1.86 % (3008524)ott+10_1_sil=32000:tgt=ground:random_seed=3042557679:i=5114:av=off_2989 on theBenchmark for (2989ds/5114Mi)
% 9.99/1.86 % (3008482)Instruction limit reached!
% 9.99/1.86 % (3008482)------------------------------
% 9.99/1.86 % (3008482)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.99/1.86 % (3008482)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.99/1.86 % (3008482)CaDiCaL version: 2.1.3
% 9.99/1.86 % (3008482)Termination reason: Instruction limit
% 9.99/1.86 % (3008482)Termination phase: Saturation
% 9.99/1.86 % (3008482)Time elapsed: 0.958 s
% 9.99/1.86 % (3008482)Peak memory usage: 19 MB
% 9.99/1.86 % (3008482)Instructions burned: 1180 (million)
% 9.99/1.86 % (3008527)fmb+10_1_sil=64000:sas=cadical:bce=on:rp=on:random_seed=2111729408:i=54282_2988 on theBenchmark for (2988ds/54282Mi)
% 9.99/1.86 % (3008527)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 9.99/1.86 % (3008527)Terminated due to inappropriate strategy.
% 9.99/1.86 % (3008527)------------------------------
% 9.99/1.86 % (3008527)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.99/1.86 % (3008527)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.99/1.86 % (3008527)CaDiCaL version: 2.1.3
% 9.99/1.86 % (3008527)Termination reason: Inappropriate
% 9.99/1.86 % (3008527)Time elapsed: 0.0000 s
% 9.99/1.86 % (3008527)Peak memory usage: 10 MB
% 9.99/1.86 % (3008527)------------------------------
% 9.99/1.86 % (3008527)------------------------------
% 9.99/1.86 % (3008530)dis-11_1_sil=16000:sp=reverse_frequency:alpa=true:random_seed=492226723:i=3512:aac=none_2987 on theBenchmark for (2987ds/3512Mi)
% 9.99/1.86 % (3008511)Instruction limit reached!
% 9.99/1.86 % (3008511)------------------------------
% 9.99/1.86 % (3008511)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.99/1.86 % (3008511)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.99/1.86 % (3008511)CaDiCaL version: 2.1.3
% 9.99/1.86 % (3008511)Termination reason: Instruction limit
% 9.99/1.86 % (3008511)Termination phase: Saturation
% 9.99/1.86 % (3008511)Time elapsed: 0.762 s
% 9.99/1.86 % (3008511)Peak memory usage: 26 MB
% 9.99/1.86 % (3008511)Instructions burned: 1474 (million)
% 9.99/1.86 % (3008579)dis+21_1_sil=32000:sas=cadical:random_seed=2532779606:i=3773:amm=off_2985 on theBenchmark for (2985ds/3773Mi)
% 9.99/1.86 % (3008522)Instruction limit reached!
% 9.99/1.86 % (3008522)------------------------------
% 9.99/1.86 % (3008522)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.99/1.86 % (3008522)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.99/1.86 % (3008522)CaDiCaL version: 2.1.3
% 9.99/1.86 % (3008522)Termination reason: Instruction limit
% 9.99/1.86 % (3008522)Termination phase: Saturation
% 9.99/1.86 % (3008522)Time elapsed: 0.587 s
% 9.99/1.86 % (3008522)Peak memory usage: 18 MB
% 9.99/1.86 % (3008522)Instructions burned: 870 (million)
% 9.99/1.86 % (3008600)ott+11_1_sil=16000:gs=on:random_seed=513329512:s2a=on:i=2251:s2at=3:kws=inv_arity_squared:nm=2:fsr=off:fsd=on_2984 on theBenchmark for (2984ds/2251Mi)
% 9.99/1.86 % (3008600) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3008443-3008600"...
% 9.99/1.86 % (3008600)...printing done.
% 9.99/1.86 % (3008600)Refutation found. Thanks to Tanya!
% 9.99/1.86 % SZS status Theorem for theBenchmark
% 9.99/1.86 % SZS output start Proof for theBenchmark
% 9.99/1.86 tff(func_def_4, type, sK0: $int).
% 9.99/1.86 tff(func_def_5, type, sK1: $int).
% 9.99/1.86 tff(func_def_6, type, sK2: $int).
% 9.99/1.86 tff(func_def_7, type, sK3: $int).
% 9.99/1.86 tff(func_def_8, type, sK4: $int).
% 9.99/1.86 tff(pred_def_1, type, p: ($int * $int * $int) > $o).
% 9.99/1.86 tff(f1,conjecture,(
% 9.99/1.86 ! [X0 : $int,X1 : $int,X2 : $int] : (($lesseq($sum(X1,$uminus(X2)),X0) & $lesseq(X0,$sum(X1,X2))) <=> p(X0,X1,X2)) => ! [X3 : $int,X4 : $int,X5 : $int,X6 : $int] : (? [X0 : $int] : (p(X0,X3,X4) & p(X0,X5,X6)) => $lesseq($sum(X3,$uminus(X5)),$sum(X4,X6)))),
% 9.99/1.86 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sum_of_radii_gt_distance_of_centers)).
% 9.99/1.86 tff(f2,negated_conjecture,(
% 9.99/1.86 ~(! [X0 : $int,X1 : $int,X2 : $int] : (($lesseq($sum(X1,$uminus(X2)),X0) & $lesseq(X0,$sum(X1,X2))) <=> p(X0,X1,X2)) => ! [X3 : $int,X4 : $int,X5 : $int,X6 : $int] : (? [X0 : $int] : (p(X0,X3,X4) & p(X0,X5,X6)) => $lesseq($sum(X3,$uminus(X5)),$sum(X4,X6))))),
% 9.99/1.86 inference(negated_conjecture,[status(cth)],[f1])).
% 9.99/1.86 tff(f3,plain,(
% 9.99/1.86 ~(! [X0 : $int,X1 : $int,X2 : $int] : ((~$less(X0,$sum(X1,$uminus(X2))) & ~$less($sum(X1,X2),X0)) <=> p(X0,X1,X2)) => ! [X3 : $int,X4 : $int,X5 : $int,X6 : $int] : (? [X0 : $int] : (p(X0,X3,X4) & p(X0,X5,X6)) => ~$less($sum(X4,X6),$sum(X3,$uminus(X5)))))),
% 9.99/1.86 inference(theory_normalization,[],[f2])).
% 9.99/1.86 tff(f4,definition,(
% 9.99/1.86 ( ! [X0 : $int,X1 : $int] : ($sum(X0,X1) = $sum(X1,X0)) )),
% 9.99/1.86 introduced(theory,[tha_commutativity])).
% 9.99/1.86 tff(f5,definition,(
% 9.99/1.86 ( ! [X2 : $int,X0 : $int,X1 : $int] : ($sum(X0,$sum(X1,X2)) = $sum($sum(X0,X1),X2)) )),
% 9.99/1.86 introduced(theory,[tha_associativity])).
% 9.99/1.86 tff(f8,definition,(
% 9.99/1.86 ( ! [X0 : $int] : (0 = $sum(X0,$uminus(X0))) )),
% 9.99/1.86 introduced(theory,[tha_inverse_op_unit])).
% 9.99/1.86 tff(f10,definition,(
% 9.99/1.86 ( ! [X2 : $int,X0 : $int,X1 : $int] : (~$less(X1,X2) | ~$less(X0,X1) | $less(X0,X2)) )),
% 9.99/1.86 introduced(theory,[tha_transitivity])).
% 9.99/1.86 tff(f11,definition,(
% 9.99/1.86 ( ! [X0 : $int,X1 : $int] : ($less(X0,X1) | $less(X1,X0) | X0 = X1) )),
% 9.99/1.86 introduced(theory,[tha_order_totality])).
% 9.99/1.86 tff(f12,definition,(
% 9.99/1.86 ( ! [X2 : $int,X0 : $int,X1 : $int] : (~$less(X0,X1) | $less($sum(X0,X2),$sum(X1,X2))) )),
% 9.99/1.86 introduced(theory,[tha_order_monotonicity])).
% 9.99/1.86 tff(f16,plain,(
% 9.99/1.86 ~(! [X0 : $int,X1 : $int,X2 : $int] : ((~$less(X0,$sum(X1,$uminus(X2))) & ~$less($sum(X1,X2),X0)) <=> p(X0,X1,X2)) => ! [X3 : $int,X4 : $int,X5 : $int,X6 : $int] : (? [X7 : $int] : (p(X7,X3,X4) & p(X7,X5,X6)) => ~$less($sum(X4,X6),$sum(X3,$uminus(X5)))))),
% 9.99/1.86 inference(rectify,[],[f3])).
% 9.99/1.86 tff(f17,plain,(
% 9.99/1.86 ? [X3 : $int,X4 : $int,X5 : $int,X6 : $int] : ($less($sum(X4,X6),$sum(X3,$uminus(X5))) & ? [X7 : $int] : (p(X7,X3,X4) & p(X7,X5,X6))) & ! [X0 : $int,X1 : $int,X2 : $int] : ((~$less(X0,$sum(X1,$uminus(X2))) & ~$less($sum(X1,X2),X0)) <=> p(X0,X1,X2))),
% 9.99/1.86 inference(ennf_transformation,[],[f16])).
% 9.99/1.86 tff(f18,plain,(
% 9.99/1.86 ? [X3 : $int,X4 : $int,X5 : $int,X6 : $int] : ($less($sum(X4,X6),$sum(X3,$uminus(X5))) & ? [X7 : $int] : (p(X7,X3,X4) & p(X7,X5,X6))) & ! [X0 : $int,X1 : $int,X2 : $int] : (((~$less(X0,$sum(X1,$uminus(X2))) & ~$less($sum(X1,X2),X0)) | ~p(X0,X1,X2)) & (p(X0,X1,X2) | ($less(X0,$sum(X1,$uminus(X2))) | $less($sum(X1,X2),X0))))),
% 9.99/1.86 inference(nnf_transformation,[],[f17])).
% 9.99/1.86 tff(f19,plain,(
% 9.99/1.86 ? [X3 : $int,X4 : $int,X5 : $int,X6 : $int] : ($less($sum(X4,X6),$sum(X3,$uminus(X5))) & ? [X7 : $int] : (p(X7,X3,X4) & p(X7,X5,X6))) & ! [X0 : $int,X1 : $int,X2 : $int] : (((~$less(X0,$sum(X1,$uminus(X2))) & ~$less($sum(X1,X2),X0)) | ~p(X0,X1,X2)) & (p(X0,X1,X2) | $less(X0,$sum(X1,$uminus(X2))) | $less($sum(X1,X2),X0)))),
% 9.99/1.86 inference(flattening,[],[f18])).
% 9.99/1.86 tff(f20,plain,(
% 9.99/1.86 ? [X0 : $int,X1 : $int,X2 : $int,X3 : $int] : ($less($sum(X1,X3),$sum(X0,$uminus(X2))) & ? [X4 : $int] : (p(X4,X0,X1) & p(X4,X2,X3))) & ! [X5 : $int,X6 : $int,X7 : $int] : (((~$less(X5,$sum(X6,$uminus(X7))) & ~$less($sum(X6,X7),X5)) | ~p(X5,X6,X7)) & (p(X5,X6,X7) | $less(X5,$sum(X6,$uminus(X7))) | $less($sum(X6,X7),X5)))),
% 9.99/1.86 inference(rectify,[],[f19])).
% 9.99/1.86 tff(f21,plain,(
% 9.99/1.86 ($less($sum(sK1,sK3),$sum(sK0,$uminus(sK2))) & (p(sK4,sK0,sK1) & p(sK4,sK2,sK3))) & ! [X5 : $int,X6 : $int,X7 : $int] : (((~$less(X5,$sum(X6,$uminus(X7))) & ~$less($sum(X6,X7),X5)) | ~p(X5,X6,X7)) & (p(X5,X6,X7) | $less(X5,$sum(X6,$uminus(X7))) | $less($sum(X6,X7),X5)))),
% 9.99/1.86 inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3,sK4]),skolemize(X0,sK0),skolemize(X1,sK1),skolemize(X2,sK2),skolemize(X3,sK3),skolemize(X4,sK4)],[f20])).
% 9.99/1.86 tff(f23,plain,(
% 9.99/1.86 ( ! [X6 : $int,X7 : $int,X5 : $int] : (~$less($sum(X6,X7),X5) | ~p(X5,X6,X7)) )),
% 9.99/1.86 inference(cnf_transformation,[],[f21])).
% 9.99/1.86 tff(f24,plain,(
% 9.99/1.86 ( ! [X6 : $int,X7 : $int,X5 : $int] : (~$less(X5,$sum(X6,$uminus(X7))) | ~p(X5,X6,X7)) )),
% 9.99/1.86 inference(cnf_transformation,[],[f21])).
% 9.99/1.86 tff(f25,plain,(
% 9.99/1.86 p(sK4,sK2,sK3)),
% 9.99/1.86 inference(cnf_transformation,[],[f21])).
% 9.99/1.86 tff(f26,plain,(
% 9.99/1.86 p(sK4,sK0,sK1)),
% 9.99/1.86 inference(cnf_transformation,[],[f21])).
% 9.99/1.86 tff(f27,plain,(
% 9.99/1.86 $less($sum(sK1,sK3),$sum(sK0,$uminus(sK2)))),
% 9.99/1.86 inference(cnf_transformation,[],[f21])).
% 9.99/1.86 tff(f45,plain,(
% 9.99/1.86 ( ! [X2 : $int,X0 : $int,X1 : $int] : (~p(X2,X1,X0) | ~$less($sum(X0,X1),X2)) )),
% 9.99/1.86 inference(superposition,[],[f23,f4])).
% 9.99/1.86 tff(f48,plain,(
% 9.99/1.86 ~$less($sum(sK3,sK2),sK4)),
% 9.99/1.86 inference(resolution,[],[f45,f25])).
% 9.99/1.86 tff(f52,plain,(
% 9.99/1.86 ~$less($sum(sK2,sK3),sK4)),
% 9.99/1.86 inference(forward_demodulation,[],[f48,f4])).
% 9.99/1.86 tff(f61,plain,(
% 9.99/1.86 ( ! [X2 : $int,X0 : $int,X1 : $int] : (~p(X0,X1,X2) | $sum(X1,$uminus(X2)) = X0 | $less($sum(X1,$uminus(X2)),X0)) )),
% 9.99/1.86 inference(resolution,[],[f11,f24])).
% 9.99/1.86 tff(f106,plain,(
% 9.99/1.86 ( ! [X0 : $int] : ($less($sum($sum(sK1,sK3),X0),$sum($sum(sK0,$uminus(sK2)),X0))) )),
% 9.99/1.86 inference(resolution,[],[f12,f27])).
% 9.99/1.86 tff(f109,plain,(
% 9.99/1.86 ( ! [X0 : $int] : ($less($sum($sum(sK1,sK3),X0),$sum(sK0,$sum($uminus(sK2),X0)))) )),
% 9.99/1.86 inference(forward_demodulation,[],[f106,f5])).
% 9.99/1.86 tff(f110,plain,(
% 9.99/1.86 ( ! [X0 : $int] : ($less($sum(sK1,$sum(sK3,X0)),$sum(sK0,$sum($uminus(sK2),X0)))) )),
% 9.99/1.86 inference(forward_demodulation,[],[f109,f5])).
% 9.99/1.86 tff(f115,plain,(
% 9.99/1.86 ( ! [X0 : $int,X1 : $int] : ($sum(X0,$sum($uminus(X0),X1)) = $sum(0,X1)) )),
% 9.99/1.86 inference(superposition,[],[f5,f8])).
% 9.99/1.86 tff(f117,plain,(
% 9.99/1.86 ( ! [X2 : $int,X0 : $int,X1 : $int] : ($sum($sum(X0,X1),X2) = $sum(X1,$sum(X0,X2))) )),
% 9.99/1.86 inference(superposition,[],[f5,f4])).
% 9.99/1.86 tff(f124,plain,(
% 9.99/1.86 ( ! [X2 : $int,X0 : $int,X1 : $int] : ($sum(X0,$sum(X1,X2)) = $sum(X2,$sum(X0,X1))) )),
% 9.99/1.86 inference(superposition,[],[f4,f5])).
% 9.99/1.86 tff(f129,plain,(
% 9.99/1.86 ( ! [X0 : $int,X1 : $int] : ($sum(X0,$sum($uminus(X0),X1)) = X1) )),
% 9.99/1.86 inference(evaluation,[],[f115])).
% 9.99/1.86 tff(f217,plain,(
% 9.99/1.86 sK4 = $sum(sK0,$uminus(sK1)) | $less($sum(sK0,$uminus(sK1)),sK4)),
% 9.99/1.86 inference(resolution,[],[f61,f26])).
% 9.99/1.86 tff(f220,definition,(
% 9.99/1.86 spl5_5 <=> $less($sum(sK0,$uminus(sK1)),sK4)),
% 9.99/1.86 introduced(definition,[new_symbols(definition,[spl5_5])],[avatar_definition])).
% 9.99/1.86 tff(f222,plain,(
% 9.99/1.86 $less($sum(sK0,$uminus(sK1)),sK4) | ~spl5_5),
% 9.99/1.86 inference(avatar_component_clause,[],[f220])).
% 9.99/1.86 tff(f224,definition,(
% 9.99/1.86 spl5_6 <=> sK4 = $sum(sK0,$uminus(sK1))),
% 9.99/1.86 introduced(definition,[new_symbols(definition,[spl5_6])],[avatar_definition])).
% 9.99/1.86 tff(f226,plain,(
% 9.99/1.86 sK4 = $sum(sK0,$uminus(sK1)) | ~spl5_6),
% 9.99/1.86 inference(avatar_component_clause,[],[f224])).
% 9.99/1.86 tff(f227,plain,(
% 9.99/1.86 spl5_5 | spl5_6),
% 9.99/1.86 inference(avatar_split_clause,[],[f217,f224,f220])).
% 9.99/1.86 tff(f239,plain,(
% 9.99/1.86 ( ! [X0 : $int] : (~$less(X0,$sum(sK0,$uminus(sK1))) | $less(X0,sK4)) ) | ~spl5_5),
% 9.99/1.86 inference(resolution,[],[f222,f10])).
% 9.99/1.86 tff(f276,plain,(
% 9.99/1.86 ( ! [X0 : $int] : ($less($sum(sK1,$sum(sK3,$sum($uminus($uminus(sK2)),X0))),$sum(sK0,X0))) )),
% 9.99/1.86 inference(superposition,[],[f110,f129])).
% 9.99/1.86 tff(f279,plain,(
% 9.99/1.86 ( ! [X0 : $int] : ($less($sum(sK1,$sum(sK3,$sum(sK2,X0))),$sum(sK0,X0))) )),
% 9.99/1.86 inference(evaluation,[],[f276])).
% 9.99/1.86 tff(f281,plain,(
% 9.99/1.86 ( ! [X0 : $int] : ($less($sum(sK1,$sum(sK2,$sum(X0,sK3))),$sum(sK0,X0))) )),
% 9.99/1.86 inference(forward_demodulation,[],[f279,f124])).
% 9.99/1.86 tff(f514,plain,(
% 9.99/1.86 ( ! [X2 : $int,X0 : $int,X1 : $int] : ($sum(X0,X2) = $sum($sum($uminus(X1),X0),$sum(X1,X2))) )),
% 9.99/1.86 inference(superposition,[],[f117,f129])).
% 9.99/1.86 tff(f561,plain,(
% 9.99/1.86 ( ! [X2 : $int,X0 : $int,X1 : $int] : ($sum(X0,X2) = $sum(X1,$sum(X2,$sum($uminus(X1),X0)))) )),
% 9.99/1.86 inference(forward_demodulation,[],[f514,f124])).
% 9.99/1.86 tff(f1766,plain,(
% 9.99/1.86 $less($sum(sK1,$sum(sK2,$sum($uminus(sK1),sK3))),sK4) | ~spl5_5),
% 9.99/1.86 inference(resolution,[],[f239,f281])).
% 9.99/1.86 tff(f1769,plain,(
% 9.99/1.86 $less($sum(sK3,sK2),sK4) | ~spl5_5),
% 9.99/1.86 inference(forward_demodulation,[],[f1766,f561])).
% 9.99/1.86 tff(f1770,plain,(
% 9.99/1.86 $less($sum(sK2,sK3),sK4) | ~spl5_5),
% 9.99/1.86 inference(forward_demodulation,[],[f1769,f4])).
% 9.99/1.86 tff(f1799,plain,(
% 9.99/1.86 $less($sum(sK1,$sum(sK2,$sum($uminus(sK1),sK3))),sK4) | ~spl5_6),
% 9.99/1.86 inference(superposition,[],[f281,f226])).
% 9.99/1.86 tff(f1825,plain,(
% 9.99/1.86 $less($sum(sK3,sK2),sK4) | ~spl5_6),
% 9.99/1.86 inference(forward_demodulation,[],[f1799,f561])).
% 9.99/1.86 tff(f1829,plain,(
% 9.99/1.86 $less($sum(sK2,sK3),sK4) | ~spl5_6),
% 9.99/1.86 inference(forward_demodulation,[],[f1825,f4])).
% 9.99/1.86 tff(f1871,plain,(
% 9.99/1.86 $false | ~spl5_5),
% 9.99/1.86 inference(global_subsumption,[],[f1770,f52])).
% 9.99/1.86 tff(f1872,plain,(
% 9.99/1.86 ~spl5_5),
% 9.99/1.86 inference(avatar_contradiction_clause,[],[f1871])).
% 9.99/1.86 tff(f1887,plain,(
% 9.99/1.86 $false | ~spl5_6),
% 9.99/1.86 inference(global_subsumption,[],[f1829,f52])).
% 9.99/1.86 tff(f1888,plain,(
% 9.99/1.86 ~spl5_6),
% 9.99/1.86 inference(avatar_contradiction_clause,[],[f1887])).
% 9.99/1.86 cnf(s93, plain, spl5_5 | spl5_6, inference(sat_conversion,[],[f227])).
% 9.99/1.86 cnf(s482, plain, ~spl5_5, inference(sat_conversion,[],[f1872])).
% 9.99/1.86 cnf(s513, plain, ~spl5_6, inference(sat_conversion,[],[f1888])).
% 9.99/1.86 cnf(s514, plain, $false, inference(rat,[],[s93,s513,s482])).
% 9.99/1.86 tff(f1889,plain,(
% 9.99/1.86 $false),
% 9.99/1.86 inference(avatar_sat_refutation,[],[s514])).
% 9.99/1.86 % SZS output end Proof for theBenchmark
% 9.99/1.86 % (3008600)------------------------------
% 9.99/1.86 % (3008600)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.99/1.86 % (3008600)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.99/1.86 % (3008600)CaDiCaL version: 2.1.3
% 9.99/1.86 % (3008600)Termination reason: Refutation
% 9.99/1.86 % (3008600)Time elapsed: 0.057 s
% 9.99/1.86 % (3008600)Peak memory usage: 13 MB
% 9.99/1.86 % (3008600)Instructions burned: 83 (million)
% 9.99/1.86 % (3008443)Success in time 1.615 s
% 9.99/1.86 % Vampire exiting
%------------------------------------------------------------------------------