%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : ARI448_1 : TPTP v9.3.1. Released v5.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n009.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 09:34:38 AM UTC 2026
% Result : Theorem 20.55s 3.16s
% Output : Refutation 20.55s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ARI448_1 : TPTP v9.3.1. Released v5.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.09/0.19 % Computer : n009.cluster.edu
% 0.09/0.19 % Model : x86_64 x86_64
% 0.09/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.19 % Memory : 8046.5625MB
% 0.09/0.19 % OS : Linux 6.8.0-71-generic
% 0.09/0.19 % CPULimit : 300
% 0.09/0.19 % WCLimit : 300
% 0.09/0.19 % DateTime : Mon Sep 28 20:50:30 UTC 2026
% 0.09/0.19 % CPUTime :
% 0.09/0.19 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.09/0.22 Running first-order model finding
% 0.09/0.22 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
% 4.71/0.96 % (3454193)Will run a generic schedule for satisfiability detection.
% 4.71/0.96 % (3454202)dis+10_1_sil=32000:sp=arity:random_seed=2954915266:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 4.71/0.96 % (3454200)% WARNING: option uhcvi not known.
% 4.71/0.96 % (3454200)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3926026565:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 4.71/0.96 % (3454199)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1298995966_2999 on theBenchmark for (2999ds/0Mi)
% 4.71/0.96 % (3454204)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=3100685457:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 4.71/0.96 % (3454199)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 4.71/0.96 % (3454199)Terminated due to inappropriate strategy.
% 4.71/0.96 % (3454199)------------------------------
% 4.71/0.96 % (3454199)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.71/0.96 % (3454199)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.71/0.96 % (3454199)CaDiCaL version: 2.1.3
% 4.71/0.96 % (3454199)Termination reason: Inappropriate
% 4.71/0.96 % (3454199)Time elapsed: 0.001 s
% 4.71/0.96 % (3454199)Peak memory usage: 10 MB
% 4.71/0.96 % (3454199)------------------------------
% 4.71/0.96 % (3454199)------------------------------
% 4.71/0.96 % (3454201)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2845838964:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 4.71/0.96 % (3454203)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1122308037:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 4.71/0.96 % (3454205)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=2814961580:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 4.71/0.96 % (3454219)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=3216815547:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 4.71/0.96 % (3454219)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 4.71/0.96 % (3454219)Terminated due to inappropriate strategy.
% 4.71/0.96 % (3454219)------------------------------
% 4.71/0.96 % (3454219)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.71/0.96 % (3454219)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.71/0.96 % (3454219)CaDiCaL version: 2.1.3
% 4.71/0.96 % (3454219)Termination reason: Inappropriate
% 4.71/0.96 % (3454219)Time elapsed: 0.001 s
% 4.71/0.96 % (3454219)Peak memory usage: 10 MB
% 4.71/0.96 % (3454219)------------------------------
% 4.71/0.96 % (3454219)------------------------------
% 4.71/0.96 % (3454202)Instruction limit reached!
% 4.71/0.96 % (3454202)------------------------------
% 4.71/0.96 % (3454202)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.71/0.96 % (3454202)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.71/0.96 % (3454202)CaDiCaL version: 2.1.3
% 4.71/0.96 % (3454202)Termination reason: Instruction limit
% 4.71/0.96 % (3454202)Termination phase: Saturation
% 4.71/0.96 % (3454202)Time elapsed: 0.051 s
% 4.71/0.96 % (3454202)Peak memory usage: 12 MB
% 4.71/0.96 % (3454202)Instructions burned: 104 (million)
% 4.71/0.96 % (3454222)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=4279341749:i=131:bd=preordered:fsd=on_2999 on theBenchmark for (2999ds/131Mi)
% 4.71/0.96 % (3454223)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=2846197223:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2999 on theBenchmark for (2999ds/684Mi)
% 4.71/0.96 % (3454203)Instruction limit reached!
% 4.71/0.96 % (3454203)------------------------------
% 4.71/0.96 % (3454203)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.71/0.96 % (3454203)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.71/0.96 % (3454203)CaDiCaL version: 2.1.3
% 4.71/0.96 % (3454203)Termination reason: Instruction limit
% 4.71/0.96 % (3454203)Termination phase: Saturation
% 4.71/0.96 % (3454203)Time elapsed: 0.102 s
% 4.71/0.96 % (3454203)Peak memory usage: 13 MB
% 4.71/0.96 % (3454203)Instructions burned: 116 (million)
% 4.71/0.96 % (3454204)Instruction limit reached!
% 4.71/0.96 % (3454204)------------------------------
% 4.71/0.96 % (3454204)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.71/0.96 % (3454204)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.78/1.44 % (3454204)CaDiCaL version: 2.1.3
% 7.78/1.44 % (3454204)Termination reason: Instruction limit
% 7.78/1.44 % (3454204)Termination phase: Saturation
% 7.78/1.44 % (3454204)Time elapsed: 0.119 s
% 7.78/1.44 % (3454204)Peak memory usage: 13 MB
% 7.78/1.44 % (3454204)Instructions burned: 132 (million)
% 7.78/1.44 % (3454226)ott-21_1_sil=16000:fs=off:random_seed=467256658:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 7.78/1.44 % (3454222)Instruction limit reached!
% 7.78/1.44 % (3454222)------------------------------
% 7.78/1.44 % (3454222)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.78/1.44 % (3454222)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.78/1.44 % (3454222)CaDiCaL version: 2.1.3
% 7.78/1.44 % (3454222)Termination reason: Instruction limit
% 7.78/1.44 % (3454222)Termination phase: Saturation
% 7.78/1.44 % (3454222)Time elapsed: 0.091 s
% 7.78/1.44 % (3454222)Peak memory usage: 13 MB
% 7.78/1.44 % (3454222)Instructions burned: 131 (million)
% 7.78/1.44 % (3454227)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=3720094254:i=477:bd=all_2998 on theBenchmark for (2998ds/477Mi)
% 7.78/1.44 % (3454205)Instruction limit reached!
% 7.78/1.44 % (3454205)------------------------------
% 7.78/1.44 % (3454205)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.78/1.44 % (3454205)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.78/1.44 % (3454205)CaDiCaL version: 2.1.3
% 7.78/1.44 % (3454205)Termination reason: Instruction limit
% 7.78/1.44 % (3454205)Termination phase: Saturation
% 7.78/1.44 % (3454205)Time elapsed: 0.144 s
% 7.78/1.44 % (3454205)Peak memory usage: 13 MB
% 7.78/1.44 % (3454205)Instructions burned: 159 (million)
% 7.78/1.44 % (3454230)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=1542121496:fmbsr=1.3:i=865:ins=25_2998 on theBenchmark for (2998ds/865Mi)
% 7.78/1.44 % (3454230)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 7.78/1.44 % (3454230)Terminated due to inappropriate strategy.
% 7.78/1.44 % (3454230)------------------------------
% 7.78/1.44 % (3454230)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.78/1.44 % (3454230)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.78/1.44 % (3454230)CaDiCaL version: 2.1.3
% 7.78/1.44 % (3454230)Termination reason: Inappropriate
% 7.78/1.44 % (3454230)Time elapsed: 0.0000 s
% 7.78/1.44 % (3454230)Peak memory usage: 10 MB
% 7.78/1.44 % (3454230)------------------------------
% 7.78/1.44 % (3454230)------------------------------
% 7.78/1.44 % (3454232)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=3331359253:i=1179_2998 on theBenchmark for (2998ds/1179Mi)
% 7.78/1.44 % (3454235)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=1616119648:i=889:ins=1_2997 on theBenchmark for (2997ds/889Mi)
% 7.78/1.44 % (3454235)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 7.78/1.44 % (3454235)Terminated due to inappropriate strategy.
% 7.78/1.44 % (3454235)------------------------------
% 7.78/1.44 % (3454235)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.78/1.44 % (3454235)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.78/1.44 % (3454235)CaDiCaL version: 2.1.3
% 7.78/1.44 % (3454235)Termination reason: Inappropriate
% 7.78/1.44 % (3454235)Time elapsed: 0.0000 s
% 7.78/1.44 % (3454235)Peak memory usage: 10 MB
% 7.78/1.44 % (3454235)------------------------------
% 7.78/1.44 % (3454235)------------------------------
% 7.78/1.44 % (3454226)Instruction limit reached!
% 7.78/1.44 % (3454226)------------------------------
% 7.78/1.44 % (3454226)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.78/1.44 % (3454226)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.78/1.44 % (3454226)CaDiCaL version: 2.1.3
% 7.78/1.44 % (3454226)Termination reason: Instruction limit
% 7.78/1.44 % (3454226)Termination phase: Saturation
% 7.78/1.44 % (3454226)Time elapsed: 0.077 s
% 7.78/1.44 % (3454226)Peak memory usage: 12 MB
% 7.78/1.44 % (3454226)Instructions burned: 190 (million)
% 7.78/1.44 % (3454240)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=2064724982:i=879:kws=inv_precedence:fsr=off_2997 on theBenchmark for (2997ds/879Mi)
% 7.78/1.44 % (3454239)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=761011847: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)
% 20.55/3.16 % (3454227)Instruction limit reached!
% 20.55/3.16 % (3454227)------------------------------
% 20.55/3.16 % (3454227)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.55/3.16 % (3454227)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.55/3.16 % (3454227)CaDiCaL version: 2.1.3
% 20.55/3.16 % (3454227)Termination reason: Instruction limit
% 20.55/3.16 % (3454227)Termination phase: Saturation
% 20.55/3.16 % (3454227)Time elapsed: 0.442 s
% 20.55/3.16 % (3454227)Peak memory usage: 14 MB
% 20.55/3.16 % (3454227)Instructions burned: 478 (million)
% 20.55/3.16 % (3454240)Instruction limit reached!
% 20.55/3.16 % (3454240)------------------------------
% 20.55/3.16 % (3454240)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.55/3.16 % (3454240)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.55/3.16 % (3454240)CaDiCaL version: 2.1.3
% 20.55/3.16 % (3454240)Termination reason: Instruction limit
% 20.55/3.16 % (3454240)Termination phase: Saturation
% 20.55/3.16 % (3454240)Time elapsed: 0.398 s
% 20.55/3.16 % (3454240)Peak memory usage: 18 MB
% 20.55/3.16 % (3454240)Instructions burned: 882 (million)
% 20.55/3.16 % (3454254)fmb+10_1_sil=64000:random_seed=870884402:i=22061:nm=2:gsp=on_2993 on theBenchmark for (2993ds/22061Mi)
% 20.55/3.16 % (3454256)fmb+10_1_sil=16000:sas=cadical:fmbss=20:random_seed=2337532962:i=9515:nm=5_2993 on theBenchmark for (2993ds/9515Mi)
% 20.55/3.16 % (3454254)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 20.55/3.16 % (3454254)Terminated due to inappropriate strategy.
% 20.55/3.16 % (3454254)------------------------------
% 20.55/3.16 % (3454254)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.55/3.16 % (3454254)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.55/3.16 % (3454254)CaDiCaL version: 2.1.3
% 20.55/3.16 % (3454254)Termination reason: Inappropriate
% 20.55/3.16 % (3454254)Time elapsed: 0.0000 s
% 20.55/3.16 % (3454254)Peak memory usage: 10 MB
% 20.55/3.16 % (3454256)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 20.55/3.16 % (3454256)Terminated due to inappropriate strategy.
% 20.55/3.16 % (3454256)------------------------------
% 20.55/3.16 % (3454256)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.55/3.16 % (3454256)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.55/3.16 % (3454256)CaDiCaL version: 2.1.3
% 20.55/3.16 % (3454256)Termination reason: Inappropriate
% 20.55/3.16 % (3454256)Time elapsed: 0.0000 s
% 20.55/3.16 % (3454256)Peak memory usage: 10 MB
% 20.55/3.16 % (3454256)------------------------------
% 20.55/3.16 % (3454256)------------------------------
% 20.55/3.16 % (3454254)------------------------------
% 20.55/3.16 % (3454254)------------------------------
% 20.55/3.16 % (3454259)fmb+10_1_sil=64000:sas=cadical:fmbss=8:random_seed=1375603533:fmbsr=1.7:i=920_2993 on theBenchmark for (2993ds/920Mi)
% 20.55/3.16 % (3454260)dis-4_1_sil=16000:drc=ordering:sp=const_frequency:sac=on:newcnf=on:random_seed=2048802976:i=5131_2993 on theBenchmark for (2993ds/5131Mi)
% 20.55/3.16 % (3454259)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 20.55/3.16 % (3454259)Terminated due to inappropriate strategy.
% 20.55/3.16 % (3454259)------------------------------
% 20.55/3.16 % (3454259)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.55/3.16 % (3454259)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.55/3.16 % (3454259)CaDiCaL version: 2.1.3
% 20.55/3.16 % (3454259)Termination reason: Inappropriate
% 20.55/3.16 % (3454259)Time elapsed: 0.0000 s
% 20.55/3.16 % (3454259)Peak memory usage: 10 MB
% 20.55/3.16 % (3454259)------------------------------
% 20.55/3.16 % (3454259)------------------------------
% 20.55/3.16 % (3454263)ott+11_16_sil=32000:fde=unused:bsd=on:sas=cadical:sp=arity:spb=units:lsd=10:nwc=3:random_seed=1596866721:i=1472:ins=7:fdi=8:gsp=on_2993 on theBenchmark for (2993ds/1472Mi)
% 20.55/3.16 % (3454223)Instruction limit reached!
% 20.55/3.16 % (3454223)------------------------------
% 20.55/3.16 % (3454223)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.55/3.16 % (3454223)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.55/3.16 % (3454223)CaDiCaL version: 2.1.3
% 20.55/3.16 % (3454223)Termination reason: Instruction limit
% 20.55/3.16 % (3454223)Termination phase: Saturation
% 20.55/3.16 % (3454223)Time elapsed: 0.605 s
% 20.55/3.16 % (3454223)Peak memory usage: 20 MB
% 20.55/3.16 % (3454223)Instructions burned: 684 (million)
% 20.55/3.16 % (3454265)fmb+10_1_sil=16000:sas=cadical:bce=on:fmbss=77:random_seed=1771218436:i=6324_2992 on theBenchmark for (2992ds/6324Mi)
% 20.55/3.16 % (3454265)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 20.55/3.16 % (3454265)Terminated due to inappropriate strategy.
% 20.55/3.16 % (3454265)------------------------------
% 20.55/3.16 % (3454265)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.55/3.16 % (3454265)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.55/3.16 % (3454265)CaDiCaL version: 2.1.3
% 20.55/3.16 % (3454265)Termination reason: Inappropriate
% 20.55/3.16 % (3454265)Time elapsed: 0.0000 s
% 20.55/3.16 % (3454265)Peak memory usage: 10 MB
% 20.55/3.16 % (3454265)------------------------------
% 20.55/3.16 % (3454265)------------------------------
% 20.55/3.16 % (3454267)fmb+10_1_fmbas=function:sil=32000:sas=cadical:fmbss=16:random_seed=1105764234:fmbsr=2.30978:i=2174_2992 on theBenchmark for (2992ds/2174Mi)
% 20.55/3.16 % (3454267)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 20.55/3.16 % (3454267)Terminated due to inappropriate strategy.
% 20.55/3.16 % (3454267)------------------------------
% 20.55/3.16 % (3454267)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.55/3.16 % (3454267)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.55/3.16 % (3454267)CaDiCaL version: 2.1.3
% 20.55/3.16 % (3454267)Termination reason: Inappropriate
% 20.55/3.16 % (3454267)Time elapsed: 0.0000 s
% 20.55/3.16 % (3454267)Peak memory usage: 10 MB
% 20.55/3.16 % (3454267)------------------------------
% 20.55/3.16 % (3454267)------------------------------
% 20.55/3.16 % (3454269)ott-2_1_sil=16000:newcnf=on:random_seed=2456309321:avsq=on:i=869:avsqr=1,16:kws=inv_arity_squared_2992 on theBenchmark for (2992ds/869Mi)
% 20.55/3.16 % (3454239)Instruction limit reached!
% 20.55/3.16 % (3454239)------------------------------
% 20.55/3.16 % (3454239)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.55/3.16 % (3454239)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.55/3.16 % (3454239)CaDiCaL version: 2.1.3
% 20.55/3.16 % (3454239)Termination reason: Instruction limit
% 20.55/3.16 % (3454239)Termination phase: Saturation
% 20.55/3.16 % (3454239)Time elapsed: 0.548 s
% 20.55/3.16 % (3454239)Peak memory usage: 20 MB
% 20.55/3.16 % (3454239)Instructions burned: 692 (million)
% 20.55/3.16 % (3454271)ott+10_1_sil=32000:tgt=ground:random_seed=366504328:i=5114:av=off_2991 on theBenchmark for (2991ds/5114Mi)
% 20.55/3.16 % (3454232)Instruction limit reached!
% 20.55/3.16 % (3454232)------------------------------
% 20.55/3.16 % (3454232)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.55/3.16 % (3454232)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.55/3.16 % (3454232)CaDiCaL version: 2.1.3
% 20.55/3.16 % (3454232)Termination reason: Instruction limit
% 20.55/3.16 % (3454232)Termination phase: Saturation
% 20.55/3.16 % (3454232)Time elapsed: 0.792 s
% 20.55/3.16 % (3454232)Peak memory usage: 18 MB
% 20.55/3.16 % (3454232)Instructions burned: 1180 (million)
% 20.55/3.16 % (3454274)fmb+10_1_sil=64000:sas=cadical:bce=on:rp=on:random_seed=3954982037:i=54282_2989 on theBenchmark for (2989ds/54282Mi)
% 20.55/3.16 % (3454274)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 20.55/3.16 % (3454274)Terminated due to inappropriate strategy.
% 20.55/3.16 % (3454274)------------------------------
% 20.55/3.16 % (3454274)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.55/3.16 % (3454274)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.55/3.16 % (3454274)CaDiCaL version: 2.1.3
% 20.55/3.16 % (3454274)Termination reason: Inappropriate
% 20.55/3.16 % (3454274)Time elapsed: 0.0000 s
% 20.55/3.16 % (3454274)Peak memory usage: 10 MB
% 20.55/3.16 % (3454274)------------------------------
% 20.55/3.16 % (3454274)------------------------------
% 20.55/3.16 % (3454276)dis-11_1_sil=16000:sp=reverse_frequency:alpa=true:random_seed=3925006821:i=3512:aac=none_2989 on theBenchmark for (2989ds/3512Mi)
% 20.55/3.16 % (3454269)Instruction limit reached!
% 20.55/3.16 % (3454269)------------------------------
% 20.55/3.16 % (3454269)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.55/3.16 % (3454269)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.55/3.16 % (3454269)CaDiCaL version: 2.1.3
% 20.55/3.16 % (3454269)Termination reason: Instruction limit
% 20.55/3.16 % (3454269)Termination phase: Saturation
% 20.55/3.16 % (3454269)Time elapsed: 0.421 s
% 20.55/3.16 % (3454269)Peak memory usage: 16 MB
% 20.55/3.16 % (3454269)Instructions burned: 870 (million)
% 20.55/3.16 % (3454285)dis+21_1_sil=32000:sas=cadical:random_seed=756895472:i=3773:amm=off_2987 on theBenchmark for (2987ds/3773Mi)
% 20.55/3.16 % (3454263)Instruction limit reached!
% 20.55/3.16 % (3454263)------------------------------
% 20.55/3.16 % (3454263)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.55/3.16 % (3454263)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.55/3.16 % (3454263)CaDiCaL version: 2.1.3
% 20.55/3.16 % (3454263)Termination reason: Instruction limit
% 20.55/3.16 % (3454263)Termination phase: Saturation
% 20.55/3.16 % (3454263)Time elapsed: 0.796 s
% 20.55/3.16 % (3454263)Peak memory usage: 26 MB
% 20.55/3.16 % (3454263)Instructions burned: 1473 (million)
% 20.55/3.16 % (3454385)ott+11_1_sil=16000:gs=on:random_seed=2605840807:s2a=on:i=2251:s2at=3:kws=inv_arity_squared:nm=2:fsr=off:fsd=on_2984 on theBenchmark for (2984ds/2251Mi)
% 20.55/3.16 % (3454260)Instruction limit reached!
% 20.55/3.16 % (3454260)------------------------------
% 20.55/3.16 % (3454260)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.55/3.16 % (3454260)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.55/3.16 % (3454260)CaDiCaL version: 2.1.3
% 20.55/3.16 % (3454260)Termination reason: Instruction limit
% 20.55/3.16 % (3454260)Termination phase: Saturation
% 20.55/3.16 % (3454260)Time elapsed: 1.464 s
% 20.55/3.16 % (3454260)Peak memory usage: 44 MB
% 20.55/3.16 % (3454260)Instructions burned: 5132 (million)
% 20.55/3.16 % (3454434)fmb+10_1_fmbas=predicate:sil=64000:tgt=ground:fmbss=7:random_seed=1697664521:fmbsr=1.6:i=67534_2978 on theBenchmark for (2978ds/67534Mi)
% 20.55/3.16 % (3454434)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 20.55/3.16 % (3454434)Terminated due to inappropriate strategy.
% 20.55/3.16 % (3454434)------------------------------
% 20.55/3.16 % (3454434)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.55/3.16 % (3454434)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.55/3.16 % (3454434)CaDiCaL version: 2.1.3
% 20.55/3.16 % (3454434)Termination reason: Inappropriate
% 20.55/3.16 % (3454434)Time elapsed: 0.0000 s
% 20.55/3.16 % (3454434)Peak memory usage: 10 MB
% 20.55/3.16 % (3454434)------------------------------
% 20.55/3.16 % (3454434)------------------------------
% 20.55/3.16 % (3454436)ott-22_32_sil=16000:tgt=full:fdtod=off:sp=weighted_frequency:rnwc=on:alpa=false:random_seed=1230017114:avsq=on:i=4591:add=off:avsqr=1,16:kws=inv_arity:nm=10:ins=9:fdi=4_2978 on theBenchmark for (2978ds/4591Mi)
% 20.55/3.16 % (3454385)Instruction limit reached!
% 20.55/3.16 % (3454385)------------------------------
% 20.55/3.16 % (3454385)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.55/3.16 % (3454385)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.55/3.16 % (3454385)CaDiCaL version: 2.1.3
% 20.55/3.16 % (3454385)Termination reason: Instruction limit
% 20.55/3.16 % (3454385)Termination phase: Saturation
% 20.55/3.16 % (3454385)Time elapsed: 1.190 s
% 20.55/3.16 % (3454385)Peak memory usage: 26 MB
% 20.55/3.16 % (3454385)Instructions burned: 2251 (million)
% 20.55/3.16 % (3454438)dis+10_64_to=lpo:sil=32000:spb=intro:urr=on:sac=on:random_seed=1593152245:i=29340_2972 on theBenchmark for (2972ds/29340Mi)
% 20.55/3.16 % (3454276)Instruction limit reached!
% 20.55/3.16 % (3454276)------------------------------
% 20.55/3.16 % (3454276)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.55/3.16 % (3454276)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.55/3.16 % (3454276)CaDiCaL version: 2.1.3
% 20.55/3.16 % (3454276)Termination reason: Instruction limit
% 20.55/3.16 % (3454276)Termination phase: Saturation
% 20.55/3.16 % (3454276)Time elapsed: 1.826 s
% 20.55/3.16 % (3454276)Peak memory usage: 30 MB
% 20.55/3.16 % (3454276)Instructions burned: 3513 (million)
% 20.55/3.16 % (3454440)dis-10_1_sil=64000:sas=cadical:cn=on:random_seed=1717118131:i=5211_2971 on theBenchmark for (2971ds/5211Mi)
% 20.55/3.16 % (3454438) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3454193-3454438"...
% 20.55/3.16 % (3454438)...printing done.
% 20.55/3.16 % (3454438)Refutation found. Thanks to Tanya!
% 20.55/3.16 % SZS status Theorem for theBenchmark
% 20.55/3.16 % SZS output start Proof for theBenchmark
% 20.55/3.16 tff(func_def_8, type, sK0: $real).
% 20.55/3.16 tff(f1,conjecture,(
% 20.55/3.16 ! [X0 : $real] : ($product(X0,4/1) = 29/1 => X0 = 29/4)),
% 20.55/3.16 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',real_product_problem_13)).
% 20.55/3.16 tff(f2,negated_conjecture,(
% 20.55/3.16 ~ ! [X0 : $real] : ($product(X0,4/1) = 29/1 => X0 = 29/4)),
% 20.55/3.16 inference(negated_conjecture,[status(cth)],[f1])).
% 20.55/3.16 tff(f14,definition,(
% 20.55/3.16 ( ! [X0 : $real,X1 : $real] : ($product(X0,X1) = $product(X1,X0)) )),
% 20.55/3.16 introduced(theory,[tha_commutativity])).
% 20.55/3.16 tff(f19,definition,(
% 20.55/3.16 ( ! [X2 : $real,X3 : $real,X0 : $real,X1 : $real] : (0/1 = X0 | $product(X0,X2) != X1 | $product(X0,X3) != X1 | X2 = X3) )),
% 20.55/3.16 introduced(theory,[tha_divisibility])).
% 20.55/3.16 tff(f20,plain,(
% 20.55/3.16 ? [X0 : $real] : (29/4 != X0 & $product(X0,4/1) = 29/1)),
% 20.55/3.16 inference(ennf_transformation,[],[f2])).
% 20.55/3.16 tff(f21,plain,(
% 20.55/3.16 29/4 != sK0 & 29/1 = $product(sK0,4/1)),
% 20.55/3.16 inference(skolemize,[status(esa),new_symbols(skolem,[sK0]),skolemize(X0,sK0)],[f20])).
% 20.55/3.16 tff(f22,plain,(
% 20.55/3.16 29/1 = $product(sK0,4/1)),
% 20.55/3.16 inference(cnf_transformation,[],[f21])).
% 20.55/3.16 tff(f23,plain,(
% 20.55/3.16 29/4 != sK0),
% 20.55/3.16 inference(cnf_transformation,[],[f21])).
% 20.55/3.16 tff(f24,plain,(
% 20.55/3.16 ( ! [X2 : $real,X3 : $real,X0 : $real] : ($product(X0,X2) != $product(X0,X3) | 0/1 = X0 | X2 = X3) )),
% 20.55/3.16 inference(equality_resolution,[],[f19])).
% 20.55/3.16 tff(f37,plain,(
% 20.55/3.16 29/1 = $product(4/1,sK0)),
% 20.55/3.16 inference(superposition,[],[f14,f22])).
% 20.55/3.16 tff(f6734,plain,(
% 20.55/3.16 ( ! [X0 : $real] : (29/1 != $product(4/1,X0) | 4/1 = 0/1 | sK0 = X0) )),
% 20.55/3.16 inference(superposition,[],[f24,f37])).
% 20.55/3.16 tff(f6856,plain,(
% 20.55/3.16 ( ! [X0 : $real] : (29/1 != $product(4/1,X0) | sK0 = X0) )),
% 20.55/3.16 inference(evaluation,[],[f6734])).
% 20.55/3.16 tff(f6950,plain,(
% 20.55/3.16 29/1 != $product(4/1,29/4)),
% 20.55/3.16 inference(unit_resulting_resolution,[],[f6856,f23])).
% 20.55/3.16 tff(f6965,plain,(
% 20.55/3.16 $false),
% 20.55/3.16 inference(evaluation,[],[f6950])).
% 20.55/3.16 % SZS output end Proof for theBenchmark
% 20.55/3.16 % (3454438)------------------------------
% 20.55/3.16 % (3454438)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.55/3.16 % (3454438)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.55/3.16 % (3454438)CaDiCaL version: 2.1.3
% 20.55/3.16 % (3454438)Termination reason: Refutation
% 20.55/3.16 % (3454438)Time elapsed: 0.175 s
% 20.55/3.16 % (3454438)Peak memory usage: 13 MB
% 20.55/3.16 % (3454438)Instructions burned: 383 (million)
% 20.55/3.16 % (3454193)Success in time 2.928 s
% 20.55/3.16 % Vampire exiting
%------------------------------------------------------------------------------