%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SWW670_2 : TPTP v9.3.1. Released v6.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n014.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 01:40:37 PM UTC 2026
% Result : Theorem 8.03s 1.57s
% Output : Refutation 8.03s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWW670_2 : TPTP v9.3.1. Released v6.1.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.11/0.24 % Computer : n014.cluster.edu
% 0.11/0.24 % Model : x86_64 x86_64
% 0.11/0.24 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.24 % Memory : 8046.5625MB
% 0.11/0.24 % OS : Linux 6.8.0-71-generic
% 0.11/0.24 % CPULimit : 300
% 0.11/0.24 % WCLimit : 300
% 0.11/0.24 % DateTime : Mon Sep 28 14:24:16 UTC 2026
% 0.11/0.24 % CPUTime :
% 0.11/0.24 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.25/0.29 Running first-order model finding
% 0.25/0.29 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
% 4.41/1.00 % (1809004)Will run a generic schedule for satisfiability detection.
% 4.41/1.00 % (1809012)dis+10_1_sil=32000:sp=arity:random_seed=2452781857:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 4.41/1.00 % (1809013)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3599418722:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 4.41/1.00 % (1809011)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2250278246:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 4.41/1.00 % (1809010)% WARNING: option uhcvi not known.
% 4.41/1.00 % (1809015)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=2811232393:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 4.41/1.00 % (1809014)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1812938673:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 4.41/1.00 % (1809009)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=219238339_2999 on theBenchmark for (2999ds/0Mi)
% 4.41/1.00 % (1809010)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3258668068:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 4.41/1.00 % (1809009)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 4.41/1.00 % (1809009)Terminated due to inappropriate strategy.
% 4.41/1.00 % (1809009)------------------------------
% 4.41/1.00 % (1809009)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.41/1.00 % (1809009)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.41/1.00 % (1809009)CaDiCaL version: 2.1.3
% 4.41/1.00 % (1809009)Termination reason: Inappropriate
% 4.41/1.00 % (1809009)Time elapsed: 0.004 s
% 4.41/1.00 % (1809009)Peak memory usage: 11 MB
% 4.41/1.00 % (1809009)Instructions burned: 4 (million)
% 4.41/1.00 % (1809009)------------------------------
% 4.41/1.00 % (1809009)------------------------------
% 4.41/1.00 % (1809012)Instruction limit reached!
% 4.41/1.00 % (1809012)------------------------------
% 4.41/1.00 % (1809012)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.41/1.00 % (1809012)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.41/1.00 % (1809012)CaDiCaL version: 2.1.3
% 4.41/1.00 % (1809012)Termination reason: Instruction limit
% 4.41/1.00 % (1809012)Termination phase: Saturation
% 4.41/1.00 % (1809012)Time elapsed: 0.050 s
% 4.41/1.00 % (1809012)Peak memory usage: 13 MB
% 4.41/1.00 % (1809012)Instructions burned: 105 (million)
% 4.41/1.00 % (1809026)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=804449479:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 4.41/1.00 % (1809026)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 4.41/1.00 % (1809026)Terminated due to inappropriate strategy.
% 4.41/1.00 % (1809026)------------------------------
% 4.41/1.00 % (1809026)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.41/1.00 % (1809026)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.41/1.00 % (1809026)CaDiCaL version: 2.1.3
% 4.41/1.00 % (1809026)Termination reason: Inappropriate
% 4.41/1.00 % (1809026)Time elapsed: 0.003 s
% 4.41/1.00 % (1809026)Peak memory usage: 11 MB
% 4.41/1.00 % (1809026)Instructions burned: 4 (million)
% 4.41/1.00 % (1809026)------------------------------
% 4.41/1.00 % (1809026)------------------------------
% 4.41/1.00 % (1809028)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=2509618917:i=131:bd=preordered:fsd=on_2999 on theBenchmark for (2999ds/131Mi)
% 4.41/1.00 % (1809031)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=145179106:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2999 on theBenchmark for (2999ds/684Mi)
% 4.41/1.00 % (1809013)Instruction limit reached!
% 4.41/1.00 % (1809013)------------------------------
% 4.41/1.00 % (1809013)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.41/1.00 % (1809013)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.41/1.00 % (1809013)CaDiCaL version: 2.1.3
% 4.41/1.00 % (1809013)Termination reason: Instruction limit
% 4.41/1.00 % (1809013)Termination phase: Saturation
% 4.41/1.00 % (1809013)Time elapsed: 0.118 s
% 4.41/1.00 % (1809013)Peak memory usage: 13 MB
% 4.41/1.00 % (1809013)Instructions burned: 116 (million)
% 4.41/1.00 % (1809014)Instruction limit reached!
% 4.41/1.00 % (1809014)------------------------------
% 4.41/1.00 % (1809014)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.03/1.57 % (1809014)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.03/1.57 % (1809014)CaDiCaL version: 2.1.3
% 8.03/1.57 % (1809014)Termination reason: Instruction limit
% 8.03/1.57 % (1809014)Termination phase: Saturation
% 8.03/1.57 % (1809014)Time elapsed: 0.123 s
% 8.03/1.57 % (1809014)Peak memory usage: 13 MB
% 8.03/1.57 % (1809014)Instructions burned: 131 (million)
% 8.03/1.57 % (1809028)Instruction limit reached!
% 8.03/1.57 % (1809028)------------------------------
% 8.03/1.57 % (1809028)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.03/1.57 % (1809028)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.03/1.57 % (1809028)CaDiCaL version: 2.1.3
% 8.03/1.57 % (1809028)Termination reason: Instruction limit
% 8.03/1.57 % (1809028)Termination phase: Saturation
% 8.03/1.57 % (1809028)Time elapsed: 0.069 s
% 8.03/1.57 % (1809028)Peak memory usage: 13 MB
% 8.03/1.57 % (1809028)Instructions burned: 131 (million)
% 8.03/1.57 % (1809037)ott-21_1_sil=16000:fs=off:random_seed=1498188450:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 8.03/1.57 % (1809015)Instruction limit reached!
% 8.03/1.57 % (1809015)------------------------------
% 8.03/1.57 % (1809015)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.03/1.57 % (1809015)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.03/1.57 % (1809015)CaDiCaL version: 2.1.3
% 8.03/1.57 % (1809015)Termination reason: Instruction limit
% 8.03/1.57 % (1809015)Termination phase: Saturation
% 8.03/1.57 % (1809015)Time elapsed: 0.138 s
% 8.03/1.57 % (1809015)Peak memory usage: 13 MB
% 8.03/1.57 % (1809015)Instructions burned: 159 (million)
% 8.03/1.57 % (1809039)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=538342424:i=477:bd=all_2998 on theBenchmark for (2998ds/477Mi)
% 8.03/1.57 % (1809040)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=3711477695:fmbsr=1.3:i=865:ins=25_2998 on theBenchmark for (2998ds/865Mi)
% 8.03/1.57 % (1809040)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 8.03/1.57 % (1809040)Terminated due to inappropriate strategy.
% 8.03/1.57 % (1809040)------------------------------
% 8.03/1.57 % (1809040)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.03/1.57 % (1809040)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.03/1.57 % (1809040)CaDiCaL version: 2.1.3
% 8.03/1.57 % (1809040)Termination reason: Inappropriate
% 8.03/1.57 % (1809040)Time elapsed: 0.002 s
% 8.03/1.57 % (1809040)Peak memory usage: 10 MB
% 8.03/1.57 % (1809040)Instructions burned: 4 (million)
% 8.03/1.57 % (1809040)------------------------------
% 8.03/1.57 % (1809040)------------------------------
% 8.03/1.57 % (1809043)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=2848857643:i=1179_2998 on theBenchmark for (2998ds/1179Mi)
% 8.03/1.57 % (1809047)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=1205203985:i=889:ins=1_2998 on theBenchmark for (2998ds/889Mi)
% 8.03/1.57 % (1809047)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 8.03/1.57 % (1809047)Terminated due to inappropriate strategy.
% 8.03/1.57 % (1809047)------------------------------
% 8.03/1.57 % (1809047)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.03/1.57 % (1809047)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.03/1.57 % (1809047)CaDiCaL version: 2.1.3
% 8.03/1.57 % (1809047)Termination reason: Inappropriate
% 8.03/1.57 % (1809047)Time elapsed: 0.002 s
% 8.03/1.57 % (1809047)Peak memory usage: 10 MB
% 8.03/1.57 % (1809047)Instructions burned: 4 (million)
% 8.03/1.57 % (1809047)------------------------------
% 8.03/1.57 % (1809047)------------------------------
% 8.03/1.57 % (1809051)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=1191691741: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)
% 8.03/1.57 % (1809037)Instruction limit reached!
% 8.03/1.57 % (1809037)------------------------------
% 8.03/1.57 % (1809037)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.03/1.57 % (1809037)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.03/1.57 % (1809037)CaDiCaL version: 2.1.3
% 8.03/1.57 % (1809037)Termination reason: Instruction limit
% 8.03/1.57 % (1809037)Termination phase: Saturation
% 8.03/1.57 % (1809037)Time elapsed: 0.075 s
% 8.03/1.57 % (1809037)Peak memory usage: 13 MB
% 8.03/1.57 % (1809037)Instructions burned: 181 (million)
% 8.03/1.57 % (1809053)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=3624336645:i=879:kws=inv_precedence:fsr=off_2997 on theBenchmark for (2997ds/879Mi)
% 8.03/1.57 % (1809051)Instruction limit reached!
% 8.03/1.57 % (1809051)------------------------------
% 8.03/1.57 % (1809051)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.03/1.57 % (1809051)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.03/1.57 % (1809051)CaDiCaL version: 2.1.3
% 8.03/1.57 % (1809051)Termination reason: Instruction limit
% 8.03/1.57 % (1809051)Termination phase: Saturation
% 8.03/1.57 % (1809051)Time elapsed: 0.291 s
% 8.03/1.57 % (1809051)Peak memory usage: 16 MB
% 8.03/1.57 % (1809051)Instructions burned: 694 (million)
% 8.03/1.57 % (1809070)fmb+10_1_sil=64000:random_seed=1018366059:i=22061:nm=2:gsp=on_2994 on theBenchmark for (2994ds/22061Mi)
% 8.03/1.57 % (1809070)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 8.03/1.57 % (1809070)Terminated due to inappropriate strategy.
% 8.03/1.57 % (1809070)------------------------------
% 8.03/1.57 % (1809070)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.03/1.57 % (1809070)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.03/1.57 % (1809070)CaDiCaL version: 2.1.3
% 8.03/1.57 % (1809070)Termination reason: Inappropriate
% 8.03/1.57 % (1809070)Time elapsed: 0.003 s
% 8.03/1.57 % (1809070)Peak memory usage: 10 MB
% 8.03/1.57 % (1809070)Instructions burned: 4 (million)
% 8.03/1.57 % (1809070)------------------------------
% 8.03/1.57 % (1809070)------------------------------
% 8.03/1.57 % (1809074)fmb+10_1_sil=16000:sas=cadical:fmbss=20:random_seed=3074525294:i=9515:nm=5_2994 on theBenchmark for (2994ds/9515Mi)
% 8.03/1.57 % (1809074)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 8.03/1.57 % (1809074)Terminated due to inappropriate strategy.
% 8.03/1.57 % (1809074)------------------------------
% 8.03/1.57 % (1809074)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.03/1.57 % (1809074)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.03/1.57 % (1809074)CaDiCaL version: 2.1.3
% 8.03/1.57 % (1809074)Termination reason: Inappropriate
% 8.03/1.57 % (1809074)Time elapsed: 0.002 s
% 8.03/1.57 % (1809074)Peak memory usage: 10 MB
% 8.03/1.57 % (1809074)Instructions burned: 4 (million)
% 8.03/1.57 % (1809074)------------------------------
% 8.03/1.57 % (1809074)------------------------------
% 8.03/1.57 % (1809077)fmb+10_1_sil=64000:sas=cadical:fmbss=8:random_seed=1857109597:fmbsr=1.7:i=920_2994 on theBenchmark for (2994ds/920Mi)
% 8.03/1.57 % (1809077)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 8.03/1.57 % (1809077)Terminated due to inappropriate strategy.
% 8.03/1.57 % (1809077)------------------------------
% 8.03/1.57 % (1809077)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.03/1.57 % (1809077)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.03/1.57 % (1809077)CaDiCaL version: 2.1.3
% 8.03/1.57 % (1809077)Termination reason: Inappropriate
% 8.03/1.57 % (1809077)Time elapsed: 0.004 s
% 8.03/1.57 % (1809077)Peak memory usage: 10 MB
% 8.03/1.57 % (1809077)Instructions burned: 4 (million)
% 8.03/1.57 % (1809077)------------------------------
% 8.03/1.57 % (1809077)------------------------------
% 8.03/1.57 % (1809039)Instruction limit reached!
% 8.03/1.57 % (1809039)------------------------------
% 8.03/1.57 % (1809039)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.03/1.57 % (1809039)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.03/1.57 % (1809039)CaDiCaL version: 2.1.3
% 8.03/1.57 % (1809039)Termination reason: Instruction limit
% 8.03/1.57 % (1809039)Termination phase: Saturation
% 8.03/1.57 % (1809039)Time elapsed: 0.452 s
% 8.03/1.57 % (1809039)Peak memory usage: 14 MB
% 8.03/1.57 % (1809039)Instructions burned: 478 (million)
% 8.03/1.57 % (1809080)dis-4_1_sil=16000:drc=ordering:sp=const_frequency:sac=on:newcnf=on:random_seed=3339577742:i=5131_2993 on theBenchmark for (2993ds/5131Mi)
% 8.03/1.57 % (1809081)ott+11_16_sil=32000:fde=unused:bsd=on:sas=cadical:sp=arity:spb=units:lsd=10:nwc=3:random_seed=3498142731:i=1472:ins=7:fdi=8:gsp=on_2993 on theBenchmark for (2993ds/1472Mi)
% 8.03/1.57 % (1809031)Instruction limit reached!
% 8.03/1.57 % (1809031)------------------------------
% 8.03/1.57 % (1809031)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.03/1.57 % (1809031)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.03/1.57 % (1809031)CaDiCaL version: 2.1.3
% 8.03/1.57 % (1809031)Termination reason: Instruction limit
% 8.03/1.57 % (1809031)Termination phase: Saturation
% 8.03/1.57 % (1809031)Time elapsed: 0.582 s
% 8.03/1.57 % (1809031)Peak memory usage: 16 MB
% 8.03/1.57 % (1809031)Instructions burned: 685 (million)
% 8.03/1.57 % (1809086)fmb+10_1_sil=16000:sas=cadical:bce=on:fmbss=77:random_seed=707118646:i=6324_2993 on theBenchmark for (2993ds/6324Mi)
% 8.03/1.57 % (1809086)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 8.03/1.57 % (1809086)Terminated due to inappropriate strategy.
% 8.03/1.57 % (1809086)------------------------------
% 8.03/1.57 % (1809086)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.03/1.57 % (1809086)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.03/1.57 % (1809086)CaDiCaL version: 2.1.3
% 8.03/1.57 % (1809086)Termination reason: Inappropriate
% 8.03/1.57 % (1809086)Time elapsed: 0.003 s
% 8.03/1.57 % (1809086)Peak memory usage: 11 MB
% 8.03/1.57 % (1809086)Instructions burned: 4 (million)
% 8.03/1.57 % (1809086)------------------------------
% 8.03/1.57 % (1809086)------------------------------
% 8.03/1.57 % (1809089)fmb+10_1_fmbas=function:sil=32000:sas=cadical:fmbss=16:random_seed=683289935:fmbsr=2.30978:i=2174_2992 on theBenchmark for (2992ds/2174Mi)
% 8.03/1.57 % (1809089)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 8.03/1.57 % (1809089)Terminated due to inappropriate strategy.
% 8.03/1.57 % (1809089)------------------------------
% 8.03/1.57 % (1809089)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.03/1.57 % (1809089)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.03/1.57 % (1809089)CaDiCaL version: 2.1.3
% 8.03/1.57 % (1809089)Termination reason: Inappropriate
% 8.03/1.57 % (1809089)Time elapsed: 0.003 s
% 8.03/1.57 % (1809089)Peak memory usage: 10 MB
% 8.03/1.57 % (1809089)Instructions burned: 4 (million)
% 8.03/1.57 % (1809089)------------------------------
% 8.03/1.57 % (1809089)------------------------------
% 8.03/1.57 % (1809096)ott-2_1_sil=16000:newcnf=on:random_seed=2418664591:avsq=on:i=869:avsqr=1,16:kws=inv_arity_squared_2992 on theBenchmark for (2992ds/869Mi)
% 8.03/1.57 % (1809053)Instruction limit reached!
% 8.03/1.57 % (1809053)------------------------------
% 8.03/1.57 % (1809053)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.03/1.57 % (1809053)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.03/1.57 % (1809053)CaDiCaL version: 2.1.3
% 8.03/1.57 % (1809053)Termination reason: Instruction limit
% 8.03/1.57 % (1809053)Termination phase: Saturation
% 8.03/1.57 % (1809053)Time elapsed: 0.780 s
% 8.03/1.57 % (1809053)Peak memory usage: 18 MB
% 8.03/1.57 % (1809053)Instructions burned: 880 (million)
% 8.03/1.57 % (1809108)ott+10_1_sil=32000:tgt=ground:random_seed=3084413178:i=5114:av=off_2989 on theBenchmark for (2989ds/5114Mi)
% 8.03/1.57 % (1809080) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-1809004-1809080"...
% 8.03/1.57 % (1809080)...printing done.
% 8.03/1.57 % (1809080)Refutation found. Thanks to Tanya!
% 8.03/1.57 % SZS status Theorem for theBenchmark
% 8.03/1.57 % SZS output start Proof for theBenchmark
% 8.03/1.57 tff(type_def_5, type, uni: $tType).
% 8.03/1.57 tff(type_def_6, type, ty: $tType).
% 8.03/1.57 tff(type_def_7, type, bool1: $tType).
% 8.03/1.57 tff(type_def_8, type, tuple02: $tType).
% 8.03/1.57 tff(type_def_9, type, list_int: $tType).
% 8.03/1.57 tff(type_def_10, type, option_int: $tType).
% 8.03/1.57 tff(func_def_0, type, witness1: ty > uni).
% 8.03/1.57 tff(func_def_1, type, int: ty).
% 8.03/1.57 tff(func_def_2, type, real: ty).
% 8.03/1.57 tff(func_def_3, type, bool: ty).
% 8.03/1.57 tff(func_def_4, type, true1: bool1).
% 8.03/1.57 tff(func_def_5, type, false1: bool1).
% 8.03/1.57 tff(func_def_6, type, match_bool1: (ty * bool1 * uni * uni) > uni).
% 8.03/1.57 tff(func_def_7, type, tuple0: ty).
% 8.03/1.57 tff(func_def_8, type, tuple03: tuple02).
% 8.03/1.57 tff(func_def_9, type, qtmark: ty).
% 8.03/1.57 tff(func_def_12, type, list: ty > ty).
% 8.03/1.57 tff(func_def_13, type, nil: ty > uni).
% 8.03/1.57 tff(func_def_14, type, cons: (ty * uni * uni) > uni).
% 8.03/1.57 tff(func_def_15, type, match_list1: (ty * ty * uni * uni * uni) > uni).
% 8.03/1.57 tff(func_def_16, type, cons_proj_11: (ty * uni) > uni).
% 8.03/1.57 tff(func_def_17, type, cons_proj_21: (ty * uni) > uni).
% 8.03/1.57 tff(func_def_18, type, length1: (ty * uni) > $int).
% 8.03/1.57 tff(func_def_21, type, option: ty > ty).
% 8.03/1.57 tff(func_def_22, type, none: ty > uni).
% 8.03/1.57 tff(func_def_23, type, some: (ty * uni) > uni).
% 8.03/1.57 tff(func_def_24, type, match_option1: (ty * ty * uni * uni * uni) > uni).
% 8.03/1.57 tff(func_def_25, type, some_proj_11: (ty * uni) > uni).
% 8.03/1.57 tff(func_def_26, type, nth1: (ty * $int * uni) > uni).
% 8.03/1.57 tff(func_def_28, type, t2tb: option_int > uni).
% 8.03/1.57 tff(func_def_29, type, tb2t: uni > option_int).
% 8.03/1.57 tff(func_def_30, type, t2tb1: list_int > uni).
% 8.03/1.57 tff(func_def_31, type, tb2t1: uni > list_int).
% 8.03/1.57 tff(func_def_32, type, t2tb2: $int > uni).
% 8.03/1.57 tff(func_def_33, type, tb2t2: uni > $int).
% 8.03/1.57 tff(func_def_34, type, ref: ty > ty).
% 8.03/1.57 tff(func_def_35, type, mk_ref: (ty * uni) > uni).
% 8.03/1.57 tff(func_def_36, type, contents: (ty * uni) > uni).
% 8.03/1.57 tff(func_def_37, type, hd: (ty * uni) > uni).
% 8.03/1.57 tff(func_def_38, type, tl: (ty * uni) > uni).
% 8.03/1.57 tff(func_def_40, type, sK0: (list_int * $int) > $int).
% 8.03/1.57 tff(func_def_41, type, sK1: list_int > $int).
% 8.03/1.57 tff(func_def_42, type, sK2: list_int).
% 8.03/1.57 tff(func_def_43, type, sK3: list_int).
% 8.03/1.58 tff(func_def_44, type, sK4: $int).
% 8.03/1.58 tff(func_def_45, type, sK5: $int).
% 8.03/1.58 tff(func_def_46, type, sK6: $int).
% 8.03/1.58 tff(func_def_47, type, sK7: list_int).
% 8.03/1.58 tff(pred_def_1, type, sort1: (ty * uni) > $o).
% 8.03/1.58 tff(pred_def_3, type, zero_at1: (list_int * $int) > $o).
% 8.03/1.58 tff(pred_def_5, type, no_zero1: list_int > $o).
% 8.03/1.58 tff(f14,axiom,(
% 8.03/1.58 ! [X0 : ty,X1 : uni,X2 : uni] : nil(X0) != cons(X0,X1,X2)),
% 8.03/1.58 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',nil_Cons1)).
% 8.03/1.58 tff(f20,axiom,(
% 8.03/1.58 ! [X0 : ty] : (length1(X0,nil(X0)) = 0 & ! [X1 : uni,X2 : uni] : length1(X0,cons(X0,X1,X2)) = $sum(1,length1(X0,X2)))),
% 8.03/1.58 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',length_def)).
% 8.03/1.58 tff(f21,axiom,(
% 8.03/1.58 ! [X0 : ty,X1 : uni] : $lesseq(0,length1(X0,X1))),
% 8.03/1.58 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',length_nonnegative)).
% 8.03/1.58 tff(f22,axiom,(
% 8.03/1.58 ! [X0 : ty,X1 : uni] : (length1(X0,X1) = 0 <=> X1 = nil(X0))),
% 8.03/1.58 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',length_nil)).
% 8.03/1.58 tff(f33,axiom,(
% 8.03/1.58 ! [X0 : ty,X1 : $int] : (nth1(X0,X1,nil(X0)) = none(X0) & ! [X2 : uni,X3 : uni] : ((X1 = 0 => nth1(X0,X1,cons(X0,X2,X3)) = some(X0,X2)) & (X1 != 0 => nth1(X0,X1,cons(X0,X2,X3)) = nth1(X0,$difference(X1,1),X3))))),
% 8.03/1.58 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',nth_def)).
% 8.03/1.58 tff(f38,axiom,(
% 8.03/1.58 ! [X0 : list_int] : tb2t1(t2tb1(X0)) = X0),
% 8.03/1.58 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',bridgeL1)).
% 8.03/1.58 tff(f39,axiom,(
% 8.03/1.58 ! [X0 : uni] : t2tb1(tb2t1(X0)) = X0),
% 8.03/1.58 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',bridgeR1)).
% 8.03/1.58 tff(f43,axiom,(
% 8.03/1.58 ! [X0 : list_int,X1 : $int] : (zero_at1(X0,X1) <=> (tb2t(nth1(int,X1,t2tb1(X0))) = tb2t(some(int,t2tb2(0))) & ! [X2 : $int] : (($lesseq(0,X2) & $less(X2,X1)) => tb2t(nth1(int,X2,t2tb1(X0))) != tb2t(some(int,t2tb2(0))))))),
% 8.03/1.58 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',zero_at_def)).
% 8.03/1.58 tff(f53,conjecture,(
% 8.03/1.58 ! [X0 : list_int,X1 : list_int,X2 : $int] : (($lesseq(0,X2) & $sum(X2,length1(int,t2tb1(X1))) = length1(int,t2tb1(X0)) & ! [X3 : $int] : ($lesseq(0,X3) => tb2t(nth1(int,X3,t2tb1(X1))) = tb2t(nth1(int,$sum(X2,X3),t2tb1(X0)))) & ! [X3 : $int] : (($lesseq(0,X3) & $less(X3,X2)) => tb2t(nth1(int,X3,t2tb1(X0))) != tb2t(some(int,t2tb2(0))))) => (X1 != tb2t1(nil(int)) => (X1 != tb2t1(nil(int)) => ! [X4 : $int] : (? [X5 : $int,X6 : list_int] : (X1 = tb2t1(cons(int,t2tb2(X5),t2tb1(X6))) & X4 = X5) => (X4 = 0 => (($lesseq(0,X2) & $less(X2,length1(int,t2tb1(X0))) & zero_at1(X0,X2)) | (X2 = length1(int,t2tb1(X0)) & no_zero1(X0))))))))),
% 8.03/1.58 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',wP_parameter_search_loop)).
% 8.03/1.58 tff(f54,negated_conjecture,(
% 8.03/1.58 ~ ! [X0 : list_int,X1 : list_int,X2 : $int] : (($lesseq(0,X2) & $sum(X2,length1(int,t2tb1(X1))) = length1(int,t2tb1(X0)) & ! [X3 : $int] : ($lesseq(0,X3) => tb2t(nth1(int,X3,t2tb1(X1))) = tb2t(nth1(int,$sum(X2,X3),t2tb1(X0)))) & ! [X3 : $int] : (($lesseq(0,X3) & $less(X3,X2)) => tb2t(nth1(int,X3,t2tb1(X0))) != tb2t(some(int,t2tb2(0))))) => (X1 != tb2t1(nil(int)) => (X1 != tb2t1(nil(int)) => ! [X4 : $int] : (? [X5 : $int,X6 : list_int] : (X1 = tb2t1(cons(int,t2tb2(X5),t2tb1(X6))) & X4 = X5) => (X4 = 0 => (($lesseq(0,X2) & $less(X2,length1(int,t2tb1(X0))) & zero_at1(X0,X2)) | (X2 = length1(int,t2tb1(X0)) & no_zero1(X0))))))))),
% 8.03/1.58 inference(negated_conjecture,[status(cth)],[f53])).
% 8.03/1.58 tff(f56,plain,(
% 8.03/1.58 ! [X0 : ty,X1 : uni] : ~$less(length1(X0,X1),0)),
% 8.03/1.58 inference(theory_normalization,[],[f21])).
% 8.03/1.58 tff(f57,plain,(
% 8.03/1.58 ! [X0 : ty,X1 : $int] : (nth1(X0,X1,nil(X0)) = none(X0) & ! [X2 : uni,X3 : uni] : ((X1 = 0 => nth1(X0,X1,cons(X0,X2,X3)) = some(X0,X2)) & (X1 != 0 => nth1(X0,X1,cons(X0,X2,X3)) = nth1(X0,$sum(X1,$uminus(1)),X3))))),
% 8.03/1.58 inference(theory_normalization,[],[f33])).
% 8.03/1.58 tff(f58,plain,(
% 8.03/1.58 ! [X0 : list_int,X1 : $int] : (zero_at1(X0,X1) <=> (tb2t(nth1(int,X1,t2tb1(X0))) = tb2t(some(int,t2tb2(0))) & ! [X2 : $int] : ((~$less(X2,0) & $less(X2,X1)) => tb2t(nth1(int,X2,t2tb1(X0))) != tb2t(some(int,t2tb2(0))))))),
% 8.03/1.58 inference(theory_normalization,[],[f43])).
% 8.03/1.58 tff(f60,plain,(
% 8.03/1.58 ~ ! [X0 : list_int,X1 : list_int,X2 : $int] : ((~$less(X2,0) & $sum(X2,length1(int,t2tb1(X1))) = length1(int,t2tb1(X0)) & ! [X3 : $int] : (~$less(X3,0) => tb2t(nth1(int,X3,t2tb1(X1))) = tb2t(nth1(int,$sum(X2,X3),t2tb1(X0)))) & ! [X3 : $int] : ((~$less(X3,0) & $less(X3,X2)) => tb2t(nth1(int,X3,t2tb1(X0))) != tb2t(some(int,t2tb2(0))))) => (X1 != tb2t1(nil(int)) => (X1 != tb2t1(nil(int)) => ! [X4 : $int] : (? [X5 : $int,X6 : list_int] : (X1 = tb2t1(cons(int,t2tb2(X5),t2tb1(X6))) & X4 = X5) => (X4 = 0 => ((~$less(X2,0) & $less(X2,length1(int,t2tb1(X0))) & zero_at1(X0,X2)) | (X2 = length1(int,t2tb1(X0)) & no_zero1(X0))))))))),
% 8.03/1.58 inference(theory_normalization,[],[f54])).
% 8.03/1.58 tff(f61,definition,(
% 8.03/1.58 ( ! [X0 : $int,X1 : $int] : ($sum(X0,X1) = $sum(X1,X0)) )),
% 8.03/1.58 introduced(theory,[tha_commutativity])).
% 8.03/1.58 tff(f62,definition,(
% 8.03/1.58 ( ! [X2 : $int,X0 : $int,X1 : $int] : ($sum(X0,$sum(X1,X2)) = $sum($sum(X0,X1),X2)) )),
% 8.03/1.58 introduced(theory,[tha_associativity])).
% 8.03/1.58 tff(f65,definition,(
% 8.03/1.58 ( ! [X0 : $int] : (0 = $sum(X0,$uminus(X0))) )),
% 8.03/1.58 introduced(theory,[tha_inverse_op_unit])).
% 8.03/1.58 tff(f66,definition,(
% 8.03/1.58 ( ! [X0 : $int] : (~$less(X0,X0)) )),
% 8.03/1.58 introduced(theory,[tha_non-reflexivity])).
% 8.03/1.58 tff(f68,definition,(
% 8.03/1.58 ( ! [X0 : $int,X1 : $int] : ($less(X1,X0) | $less(X0,X1) | X0 = X1) )),
% 8.03/1.58 introduced(theory,[tha_order_totality])).
% 8.03/1.58 tff(f69,definition,(
% 8.03/1.58 ( ! [X2 : $int,X0 : $int,X1 : $int] : ($less($sum(X0,X2),$sum(X1,X2)) | ~$less(X0,X1)) )),
% 8.03/1.58 introduced(theory,[tha_order_monotonicity])).
% 8.03/1.58 tff(f79,plain,(
% 8.03/1.58 ~ ! [X0 : list_int,X1 : list_int,X2 : $int] : ((~$less(X2,0) & $sum(X2,length1(int,t2tb1(X1))) = length1(int,t2tb1(X0)) & ! [X3 : $int] : (~$less(X3,0) => tb2t(nth1(int,X3,t2tb1(X1))) = tb2t(nth1(int,$sum(X2,X3),t2tb1(X0)))) & ! [X4 : $int] : ((~$less(X4,0) & $less(X4,X2)) => tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,X4,t2tb1(X0))))) => (X1 != tb2t1(nil(int)) => (X1 != tb2t1(nil(int)) => ! [X5 : $int] : (? [X6 : $int,X7 : list_int] : (tb2t1(cons(int,t2tb2(X6),t2tb1(X7))) = X1 & X5 = X6) => (0 = X5 => ((~$less(X2,0) & $less(X2,length1(int,t2tb1(X0))) & zero_at1(X0,X2)) | (X2 = length1(int,t2tb1(X0)) & no_zero1(X0))))))))),
% 8.03/1.58 inference(rectify,[],[f60])).
% 8.03/1.58 tff(f81,plain,(
% 8.03/1.58 ! [X0 : list_int,X1 : $int] : ((tb2t(nth1(int,X1,t2tb1(X0))) = tb2t(some(int,t2tb2(0))) & ! [X2 : $int] : ((~$less(X2,0) & $less(X2,X1)) => tb2t(nth1(int,X2,t2tb1(X0))) != tb2t(some(int,t2tb2(0))))) => zero_at1(X0,X1))),
% 8.03/1.58 inference(unused_predicate_definition_removal,[],[f58])).
% 8.03/1.58 tff(f94,plain,(
% 8.03/1.58 ! [X0 : ty,X1 : $int] : (nth1(X0,X1,nil(X0)) = none(X0) & ! [X2 : uni,X3 : uni] : ((nth1(X0,X1,cons(X0,X2,X3)) = some(X0,X2) | 0 != X1) & (nth1(X0,X1,cons(X0,X2,X3)) = nth1(X0,$sum(X1,$uminus(1)),X3) | 0 = X1)))),
% 8.03/1.58 inference(ennf_transformation,[],[f57])).
% 8.03/1.58 tff(f95,plain,(
% 8.03/1.58 ! [X0 : list_int,X1 : $int] : (zero_at1(X0,X1) | (tb2t(nth1(int,X1,t2tb1(X0))) != tb2t(some(int,t2tb2(0))) | ? [X2 : $int] : (tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,X2,t2tb1(X0))) & (~$less(X2,0) & $less(X2,X1)))))),
% 8.03/1.58 inference(ennf_transformation,[],[f81])).
% 8.03/1.58 tff(f96,plain,(
% 8.03/1.58 ! [X0 : list_int,X1 : $int] : (zero_at1(X0,X1) | tb2t(nth1(int,X1,t2tb1(X0))) != tb2t(some(int,t2tb2(0))) | ? [X2 : $int] : (tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,X2,t2tb1(X0))) & ~$less(X2,0) & $less(X2,X1)))),
% 8.03/1.58 inference(flattening,[],[f95])).
% 8.03/1.58 tff(f101,plain,(
% 8.03/1.58 ? [X0 : list_int,X1 : list_int,X2 : $int] : (((? [X5 : $int] : (((($less(X2,0) | ~$less(X2,length1(int,t2tb1(X0))) | ~zero_at1(X0,X2)) & (length1(int,t2tb1(X0)) != X2 | ~no_zero1(X0))) & 0 = X5) & ? [X6 : $int,X7 : list_int] : (tb2t1(cons(int,t2tb2(X6),t2tb1(X7))) = X1 & X5 = X6)) & X1 != tb2t1(nil(int))) & X1 != tb2t1(nil(int))) & (~$less(X2,0) & $sum(X2,length1(int,t2tb1(X1))) = length1(int,t2tb1(X0)) & ! [X3 : $int] : (tb2t(nth1(int,X3,t2tb1(X1))) = tb2t(nth1(int,$sum(X2,X3),t2tb1(X0))) | $less(X3,0)) & ! [X4 : $int] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,X4,t2tb1(X0))) | ($less(X4,0) | ~$less(X4,X2)))))),
% 8.03/1.58 inference(ennf_transformation,[],[f79])).
% 8.03/1.58 tff(f102,plain,(
% 8.03/1.58 ? [X0 : list_int,X1 : list_int,X2 : $int] : (? [X5 : $int] : (($less(X2,0) | ~$less(X2,length1(int,t2tb1(X0))) | ~zero_at1(X0,X2)) & (length1(int,t2tb1(X0)) != X2 | ~no_zero1(X0)) & 0 = X5 & ? [X6 : $int,X7 : list_int] : (tb2t1(cons(int,t2tb2(X6),t2tb1(X7))) = X1 & X5 = X6)) & X1 != tb2t1(nil(int)) & X1 != tb2t1(nil(int)) & ~$less(X2,0) & $sum(X2,length1(int,t2tb1(X1))) = length1(int,t2tb1(X0)) & ! [X3 : $int] : (tb2t(nth1(int,X3,t2tb1(X1))) = tb2t(nth1(int,$sum(X2,X3),t2tb1(X0))) | $less(X3,0)) & ! [X4 : $int] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,X4,t2tb1(X0))) | $less(X4,0) | ~$less(X4,X2)))),
% 8.03/1.58 inference(flattening,[],[f101])).
% 8.03/1.58 tff(f116,plain,(
% 8.03/1.58 ( ! [X2 : uni,X0 : ty,X1 : uni] : (nil(X0) != cons(X0,X1,X2)) )),
% 8.03/1.58 inference(cnf_transformation,[],[f14])).
% 8.03/1.58 tff(f122,plain,(
% 8.03/1.58 ( ! [X2 : uni,X0 : ty,X1 : uni] : (length1(X0,cons(X0,X1,X2)) = $sum(1,length1(X0,X2))) )),
% 8.03/1.58 inference(cnf_transformation,[],[f20])).
% 8.03/1.58 tff(f124,plain,(
% 8.03/1.58 ( ! [X0 : ty,X1 : uni] : (~$less(length1(X0,X1),0)) )),
% 8.03/1.58 inference(cnf_transformation,[],[f56])).
% 8.03/1.58 tff(f126,plain,(
% 8.03/1.58 ( ! [X0 : ty,X1 : uni] : (0 != length1(X0,X1) | nil(X0) = X1) )),
% 8.03/1.58 inference(cnf_transformation,[],[f22])).
% 8.03/1.58 tff(f137,plain,(
% 8.03/1.58 ( ! [X2 : uni,X3 : uni,X0 : ty,X1 : $int] : (0 != X1 | nth1(X0,X1,cons(X0,X2,X3)) = some(X0,X2)) )),
% 8.03/1.58 inference(cnf_transformation,[],[f94])).
% 8.03/1.58 tff(f144,plain,(
% 8.03/1.58 ( ! [X0 : list_int] : (tb2t1(t2tb1(X0)) = X0) )),
% 8.03/1.58 inference(cnf_transformation,[],[f38])).
% 8.03/1.58 tff(f145,plain,(
% 8.03/1.58 ( ! [X0 : uni] : (t2tb1(tb2t1(X0)) = X0) )),
% 8.03/1.58 inference(cnf_transformation,[],[f39])).
% 8.03/1.58 tff(f149,plain,(
% 8.03/1.58 ( ! [X0 : list_int,X1 : $int] : (tb2t(nth1(int,X1,t2tb1(X0))) != tb2t(some(int,t2tb2(0))) | $less(sK0(X0,X1),X1) | zero_at1(X0,X1)) )),
% 8.03/1.58 inference(cnf_transformation,[],[f96])).
% 8.03/1.58 tff(f150,plain,(
% 8.03/1.58 ( ! [X0 : list_int,X1 : $int] : (tb2t(nth1(int,X1,t2tb1(X0))) != tb2t(some(int,t2tb2(0))) | ~$less(sK0(X0,X1),0) | zero_at1(X0,X1)) )),
% 8.03/1.58 inference(cnf_transformation,[],[f96])).
% 8.03/1.58 tff(f151,plain,(
% 8.03/1.58 ( ! [X0 : list_int,X1 : $int] : (tb2t(nth1(int,X1,t2tb1(X0))) != tb2t(some(int,t2tb2(0))) | tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK0(X0,X1),t2tb1(X0))) | zero_at1(X0,X1)) )),
% 8.03/1.58 inference(cnf_transformation,[],[f96])).
% 8.03/1.58 tff(f165,plain,(
% 8.03/1.58 sK5 = sK6),
% 8.03/1.58 inference(cnf_transformation,[],[f102])).
% 8.03/1.58 tff(f166,plain,(
% 8.03/1.58 sK3 = tb2t1(cons(int,t2tb2(sK6),t2tb1(sK7)))),
% 8.03/1.58 inference(cnf_transformation,[],[f102])).
% 8.03/1.58 tff(f167,plain,(
% 8.03/1.58 ~zero_at1(sK2,sK4) | ~$less(sK4,length1(int,t2tb1(sK2))) | $less(sK4,0)),
% 8.03/1.58 inference(cnf_transformation,[],[f102])).
% 8.03/1.58 tff(f169,plain,(
% 8.03/1.58 0 = sK5),
% 8.03/1.58 inference(cnf_transformation,[],[f102])).
% 8.03/1.58 tff(f170,plain,(
% 8.03/1.58 ( ! [X3 : $int] : ($less(X3,0) | tb2t(nth1(int,X3,t2tb1(sK3))) = tb2t(nth1(int,$sum(sK4,X3),t2tb1(sK2)))) )),
% 8.03/1.58 inference(cnf_transformation,[],[f102])).
% 8.03/1.58 tff(f171,plain,(
% 8.03/1.58 ( ! [X4 : $int] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,X4,t2tb1(sK2))) | $less(X4,0) | ~$less(X4,sK4)) )),
% 8.03/1.58 inference(cnf_transformation,[],[f102])).
% 8.03/1.58 tff(f172,plain,(
% 8.03/1.58 length1(int,t2tb1(sK2)) = $sum(sK4,length1(int,t2tb1(sK3)))),
% 8.03/1.58 inference(cnf_transformation,[],[f102])).
% 8.03/1.58 tff(f173,plain,(
% 8.03/1.58 ~$less(sK4,0)),
% 8.03/1.58 inference(cnf_transformation,[],[f102])).
% 8.03/1.58 tff(f182,plain,(
% 8.03/1.58 0 = sK6),
% 8.03/1.58 inference(definition_unfolding,[],[f165,f169])).
% 8.03/1.58 tff(f185,plain,(
% 8.03/1.58 ( ! [X2 : uni,X3 : uni,X0 : ty] : (some(X0,X2) = nth1(X0,0,cons(X0,X2,X3))) )),
% 8.03/1.58 inference(equality_resolution,[],[f137])).
% 8.03/1.58 tff(f196,plain,(
% 8.03/1.58 sK3 = tb2t1(cons(int,t2tb2(0),t2tb1(sK7)))),
% 8.03/1.58 inference(forward_demodulation,[],[f166,f182])).
% 8.03/1.58 tff(f197,plain,(
% 8.03/1.58 ~zero_at1(sK2,sK4) | ~$less(sK4,length1(int,t2tb1(sK2)))),
% 8.03/1.58 inference(forward_subsumption_resolution,[],[f167,f173])).
% 8.03/1.58 tff(f199,definition,(
% 8.03/1.58 spl8_3 <=> $less(sK4,length1(int,t2tb1(sK2)))),
% 8.03/1.58 introduced(definition,[new_symbols(definition,[spl8_3])],[avatar_definition])).
% 8.03/1.58 tff(f201,plain,(
% 8.03/1.58 ~$less(sK4,length1(int,t2tb1(sK2))) | spl8_3),
% 8.03/1.58 inference(avatar_component_clause,[],[f199])).
% 8.03/1.58 tff(f203,definition,(
% 8.03/1.58 spl8_4 <=> zero_at1(sK2,sK4)),
% 8.03/1.58 introduced(definition,[new_symbols(definition,[spl8_4])],[avatar_definition])).
% 8.03/1.58 tff(f205,plain,(
% 8.03/1.58 ~zero_at1(sK2,sK4) | spl8_4),
% 8.03/1.58 inference(avatar_component_clause,[],[f203])).
% 8.03/1.58 tff(f206,plain,(
% 8.03/1.58 ~spl8_3 | ~spl8_4),
% 8.03/1.58 inference(avatar_split_clause,[],[f197,f203,f199])).
% 8.03/1.58 tff(f209,plain,(
% 8.03/1.58 tb2t(nth1(int,0,t2tb1(sK3))) = tb2t(nth1(int,$sum(sK4,0),t2tb1(sK2)))),
% 8.03/1.58 inference(resolution,[],[f66,f170])).
% 8.03/1.58 tff(f210,plain,(
% 8.03/1.58 tb2t(nth1(int,0,t2tb1(sK3))) = tb2t(nth1(int,sK4,t2tb1(sK2)))),
% 8.03/1.58 inference(evaluation,[],[f209])).
% 8.03/1.58 tff(f248,plain,(
% 8.03/1.58 t2tb1(sK3) = cons(int,t2tb2(0),t2tb1(sK7))),
% 8.03/1.58 inference(superposition,[],[f145,f196])).
% 8.03/1.58 tff(f431,plain,(
% 8.03/1.58 ( ! [X2 : $int,X0 : $int,X1 : $int] : ($less($sum(X0,X1),$sum(X2,X0)) | ~$less(X1,X2)) )),
% 8.03/1.58 inference(superposition,[],[f69,f61])).
% 8.03/1.58 tff(f572,plain,(
% 8.03/1.58 ( ! [X0 : $int] : ($sum(sK4,$sum(length1(int,t2tb1(sK3)),X0)) = $sum(length1(int,t2tb1(sK2)),X0)) )),
% 8.03/1.58 inference(superposition,[],[f62,f172])).
% 8.03/1.58 tff(f574,plain,(
% 8.03/1.58 ( ! [X0 : $int,X1 : $int] : (0 = $sum(X0,$sum(X1,$uminus($sum(X0,X1))))) )),
% 8.03/1.58 inference(superposition,[],[f62,f65])).
% 8.03/1.58 tff(f701,plain,(
% 8.03/1.58 some(int,t2tb2(0)) = nth1(int,0,t2tb1(sK3))),
% 8.03/1.58 inference(superposition,[],[f185,f248])).
% 8.03/1.58 tff(f725,plain,(
% 8.03/1.58 length1(int,t2tb1(sK3)) = $sum(1,length1(int,t2tb1(sK7)))),
% 8.03/1.58 inference(superposition,[],[f122,f248])).
% 8.03/1.58 tff(f726,plain,(
% 8.03/1.58 ( ! [X2 : uni,X0 : ty,X1 : uni] : (0 != $sum(1,length1(X0,X1)) | nil(X0) = cons(X0,X2,X1)) )),
% 8.03/1.58 inference(superposition,[],[f126,f122])).
% 8.03/1.58 tff(f737,plain,(
% 8.03/1.58 ( ! [X0 : ty,X1 : uni] : (0 != $sum(1,length1(X0,X1))) )),
% 8.03/1.58 inference(forward_subsumption_resolution,[],[f726,f116])).
% 8.03/1.58 tff(f923,plain,(
% 8.03/1.58 ( ! [X0 : uni,X1 : $int] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,X1,X0)) | $less(sK0(tb2t1(X0),X1),X1) | zero_at1(tb2t1(X0),X1)) )),
% 8.03/1.58 inference(superposition,[],[f149,f145])).
% 8.03/1.58 tff(f936,plain,(
% 8.03/1.58 ( ! [X0 : uni,X1 : $int] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,X1,X0)) | ~$less(sK0(tb2t1(X0),X1),0) | zero_at1(tb2t1(X0),X1)) )),
% 8.03/1.58 inference(superposition,[],[f150,f145])).
% 8.03/1.58 tff(f956,plain,(
% 8.03/1.58 ( ! [X0 : uni,X1 : $int] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,X1,X0)) | tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK0(tb2t1(X0),X1),X0)) | zero_at1(tb2t1(X0),X1)) )),
% 8.03/1.58 inference(superposition,[],[f151,f145])).
% 8.03/1.58 tff(f1405,plain,(
% 8.03/1.58 ( ! [X0 : $int,X1 : $int] : ($less($sum(length1(int,t2tb1(sK2)),X0),$sum(X1,sK4)) | ~$less($sum(length1(int,t2tb1(sK3)),X0),X1)) )),
% 8.03/1.58 inference(superposition,[],[f431,f572])).
% 8.03/1.58 tff(f1622,plain,(
% 8.03/1.58 ( ! [X0 : $int] : ($sum(sK4,0) = $sum(length1(int,t2tb1(sK2)),$sum(X0,$uminus($sum(length1(int,t2tb1(sK3)),X0))))) )),
% 8.03/1.58 inference(superposition,[],[f572,f574])).
% 8.03/1.58 tff(f1634,plain,(
% 8.03/1.58 ( ! [X0 : $int] : (sK4 = $sum(length1(int,t2tb1(sK2)),$sum(X0,$uminus($sum(length1(int,t2tb1(sK3)),X0))))) )),
% 8.03/1.58 inference(evaluation,[],[f1622])).
% 8.03/1.58 tff(f8277,plain,(
% 8.03/1.58 tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,0,t2tb1(sK3))) | $less(sK0(tb2t1(t2tb1(sK2)),sK4),sK4) | zero_at1(tb2t1(t2tb1(sK2)),sK4)),
% 8.03/1.58 inference(superposition,[],[f923,f210])).
% 8.03/1.58 tff(f8327,plain,(
% 8.03/1.58 tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,0,t2tb1(sK3))) | ~$less(sK0(tb2t1(t2tb1(sK2)),sK4),0) | zero_at1(tb2t1(t2tb1(sK2)),sK4)),
% 8.03/1.58 inference(superposition,[],[f936,f210])).
% 8.03/1.58 tff(f8696,plain,(
% 8.03/1.58 tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,0,t2tb1(sK3))) | tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK0(tb2t1(t2tb1(sK2)),sK4),t2tb1(sK2))) | zero_at1(tb2t1(t2tb1(sK2)),sK4)),
% 8.03/1.58 inference(superposition,[],[f956,f210])).
% 8.03/1.58 tff(f9399,plain,(
% 8.03/1.58 tb2t(some(int,t2tb2(0))) != tb2t(some(int,t2tb2(0))) | $less(sK0(tb2t1(t2tb1(sK2)),sK4),sK4) | zero_at1(tb2t1(t2tb1(sK2)),sK4)),
% 8.03/1.58 inference(forward_demodulation,[],[f8277,f701])).
% 8.03/1.58 tff(f9400,plain,(
% 8.03/1.58 $less(sK0(tb2t1(t2tb1(sK2)),sK4),sK4) | zero_at1(tb2t1(t2tb1(sK2)),sK4)),
% 8.03/1.58 inference(trivial_inequality_removal,[],[f9399])).
% 8.03/1.58 tff(f9407,plain,(
% 8.03/1.58 tb2t(some(int,t2tb2(0))) != tb2t(some(int,t2tb2(0))) | ~$less(sK0(tb2t1(t2tb1(sK2)),sK4),0) | zero_at1(tb2t1(t2tb1(sK2)),sK4)),
% 8.03/1.58 inference(forward_demodulation,[],[f8327,f701])).
% 8.03/1.58 tff(f9408,plain,(
% 8.03/1.58 ~$less(sK0(tb2t1(t2tb1(sK2)),sK4),0) | zero_at1(tb2t1(t2tb1(sK2)),sK4)),
% 8.03/1.58 inference(trivial_inequality_removal,[],[f9407])).
% 8.03/1.58 tff(f9415,plain,(
% 8.03/1.58 tb2t(some(int,t2tb2(0))) != tb2t(some(int,t2tb2(0))) | tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK0(tb2t1(t2tb1(sK2)),sK4),t2tb1(sK2))) | zero_at1(tb2t1(t2tb1(sK2)),sK4)),
% 8.03/1.58 inference(forward_demodulation,[],[f8696,f701])).
% 8.03/1.58 tff(f9416,plain,(
% 8.03/1.58 tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK0(tb2t1(t2tb1(sK2)),sK4),t2tb1(sK2))) | zero_at1(tb2t1(t2tb1(sK2)),sK4)),
% 8.03/1.58 inference(trivial_inequality_removal,[],[f9415])).
% 8.03/1.58 tff(f9423,plain,(
% 8.03/1.58 $less(sK0(sK2,sK4),sK4) | zero_at1(tb2t1(t2tb1(sK2)),sK4)),
% 8.03/1.58 inference(forward_demodulation,[],[f9400,f144])).
% 8.03/1.58 tff(f9429,plain,(
% 8.03/1.58 ~$less(sK0(sK2,sK4),0) | zero_at1(tb2t1(t2tb1(sK2)),sK4)),
% 8.03/1.58 inference(forward_demodulation,[],[f9408,f144])).
% 8.03/1.58 tff(f9435,plain,(
% 8.03/1.58 tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK0(sK2,sK4),t2tb1(sK2))) | zero_at1(tb2t1(t2tb1(sK2)),sK4)),
% 8.03/1.58 inference(forward_demodulation,[],[f9416,f144])).
% 8.03/1.58 tff(f9441,plain,(
% 8.03/1.58 zero_at1(sK2,sK4) | $less(sK0(sK2,sK4),sK4)),
% 8.03/1.58 inference(forward_demodulation,[],[f9423,f144])).
% 8.03/1.58 tff(f9443,plain,(
% 8.03/1.58 zero_at1(sK2,sK4) | ~$less(sK0(sK2,sK4),0)),
% 8.03/1.58 inference(forward_demodulation,[],[f9429,f144])).
% 8.03/1.58 tff(f9445,plain,(
% 8.03/1.58 zero_at1(sK2,sK4) | tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK0(sK2,sK4),t2tb1(sK2)))),
% 8.03/1.58 inference(forward_demodulation,[],[f9435,f144])).
% 8.03/1.58 tff(f9447,plain,(
% 8.03/1.58 $less(sK0(sK2,sK4),sK4) | spl8_4),
% 8.03/1.58 inference(forward_subsumption_resolution,[],[f9441,f205])).
% 8.03/1.58 tff(f9449,plain,(
% 8.03/1.58 ~$less(sK0(sK2,sK4),0) | spl8_4),
% 8.03/1.58 inference(forward_subsumption_resolution,[],[f9443,f205])).
% 8.03/1.58 tff(f9451,plain,(
% 8.03/1.58 tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK0(sK2,sK4),t2tb1(sK2))) | spl8_4),
% 8.03/1.58 inference(forward_subsumption_resolution,[],[f9445,f205])).
% 8.03/1.58 tff(f9577,plain,(
% 8.03/1.58 0 != length1(int,t2tb1(sK3))),
% 8.03/1.58 inference(superposition,[],[f737,f725])).
% 8.03/1.58 tff(f10400,plain,(
% 8.03/1.58 tb2t(some(int,t2tb2(0))) != tb2t(some(int,t2tb2(0))) | $less(sK0(sK2,sK4),0) | ~$less(sK0(sK2,sK4),sK4) | spl8_4),
% 8.03/1.58 inference(superposition,[],[f171,f9451])).
% 8.03/1.58 tff(f10414,plain,(
% 8.03/1.58 $less(sK0(sK2,sK4),0) | ~$less(sK0(sK2,sK4),sK4) | spl8_4),
% 8.03/1.58 inference(trivial_inequality_removal,[],[f10400])).
% 8.03/1.58 tff(f10419,plain,(
% 8.03/1.58 ~$less(sK0(sK2,sK4),sK4) | spl8_4),
% 8.03/1.58 inference(forward_subsumption_resolution,[],[f10414,f9449])).
% 8.03/1.58 tff(f10423,plain,(
% 8.03/1.58 $false | spl8_4),
% 8.03/1.58 inference(forward_subsumption_resolution,[],[f10419,f9447])).
% 8.03/1.58 tff(f10424,plain,(
% 8.03/1.58 spl8_4),
% 8.03/1.58 inference(avatar_contradiction_clause,[],[f10423])).
% 8.03/1.58 tff(f11566,plain,(
% 8.03/1.58 ( ! [X0 : $int,X1 : $int] : ($less(sK4,$sum(X1,sK4)) | ~$less($sum(length1(int,t2tb1(sK3)),$sum(X0,$uminus($sum(length1(int,t2tb1(sK3)),X0)))),X1)) )),
% 8.03/1.58 inference(superposition,[],[f1405,f1634])).
% 8.03/1.58 tff(f11583,plain,(
% 8.03/1.58 ( ! [X1 : $int] : ($less(sK4,$sum(X1,sK4)) | ~$less(0,X1)) )),
% 8.03/1.58 inference(forward_demodulation,[],[f11566,f574])).
% 8.03/1.58 tff(f12004,plain,(
% 8.03/1.58 ( ! [X0 : $int] : ($less(sK4,$sum(sK4,X0)) | ~$less(0,X0)) )),
% 8.03/1.58 inference(superposition,[],[f11583,f61])).
% 8.03/1.58 tff(f12446,plain,(
% 8.03/1.58 $less(sK4,length1(int,t2tb1(sK2))) | ~$less(0,length1(int,t2tb1(sK3)))),
% 8.03/1.58 inference(superposition,[],[f12004,f172])).
% 8.03/1.58 tff(f12467,plain,(
% 8.03/1.58 ~$less(0,length1(int,t2tb1(sK3))) | spl8_3),
% 8.03/1.58 inference(forward_subsumption_resolution,[],[f12446,f201])).
% 8.03/1.58 tff(f12569,plain,(
% 8.03/1.58 $less(length1(int,t2tb1(sK3)),0) | 0 = length1(int,t2tb1(sK3)) | spl8_3),
% 8.03/1.58 inference(resolution,[],[f12467,f68])).
% 8.03/1.58 tff(f12573,plain,(
% 8.03/1.58 0 = length1(int,t2tb1(sK3)) | spl8_3),
% 8.03/1.58 inference(forward_subsumption_resolution,[],[f12569,f124])).
% 8.03/1.58 tff(f12577,plain,(
% 8.03/1.58 $false | spl8_3),
% 8.03/1.58 inference(forward_subsumption_resolution,[],[f12573,f9577])).
% 8.03/1.58 tff(f12578,plain,(
% 8.03/1.58 spl8_3),
% 8.03/1.58 inference(avatar_contradiction_clause,[],[f12577])).
% 8.03/1.58 cnf(s2, plain, ~spl8_3 | ~spl8_4, inference(sat_conversion,[],[f206])).
% 8.03/1.58 cnf(s29, plain, spl8_4, inference(sat_conversion,[],[f10424])).
% 8.03/1.58 cnf(s34, plain, spl8_3, inference(sat_conversion,[],[f12578])).
% 8.03/1.58 cnf(s40, plain, $false, inference(rat,[],[s2,s29,s34])).
% 8.03/1.58 tff(f12579,plain,(
% 8.03/1.58 $false),
% 8.03/1.58 inference(avatar_sat_refutation,[],[s40])).
% 8.03/1.58 % SZS output end Proof for theBenchmark
% 8.03/1.58 % (1809080)------------------------------
% 8.03/1.58 % (1809080)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.03/1.58 % (1809080)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.03/1.58 % (1809080)CaDiCaL version: 2.1.3
% 8.03/1.58 % (1809080)Termination reason: Refutation
% 8.03/1.58 % (1809080)Time elapsed: 0.596 s
% 8.03/1.58 % (1809080)Peak memory usage: 17 MB
% 8.03/1.58 % (1809080)Instructions burned: 614 (million)
% 8.03/1.58 % (1809004)Success in time 1.27 s
% 8.03/1.58 % Vampire exiting
%------------------------------------------------------------------------------