0.06/0.12 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.06/0.12 % Command : run_vampire %s %d THM 0.12/0.32 % Computer : n027.cluster.edu 0.12/0.32 % Model : x86_64 x86_64 0.12/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.12/0.32 % Memory : 8042.1875MB 0.12/0.32 % OS : Linux 3.10.0-693.el7.x86_64 0.12/0.32 % CPULimit : 1920 0.12/0.32 % WCLimit : 240 0.12/0.32 % DateTime : Wed Jul 30 02:13:19 EDT 2025 0.12/0.32 % CPUTime : 0.12/0.34 This is a THF_ problem 0.12/0.34 Running higher-order theorem proving 0.12/0.37 Running /export/starexec/sandbox/solver/bin/vampire-hol --cores 7 --input_syntax tptp --proof tptp --output_axiom_names on --print_def_sorts on --mode portfolio --schedule snake_tptp_hol /export/starexec/sandbox/tmp/tmp.YQPfih25zd/E---3.1_24008.p -m 16384 -t 240 0.22/0.40 % (24242)dis+1010_1:1_au=on:cbe=off:chr=on:fsr=off:hfsq=on:nm=64:sos=theory:sp=weighted_frequency:i=27:si=on:rtra=on_0 on E---3.1_24008 for (2399ds/27Mi) 0.22/0.41 % (24240)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on E---3.1_24008 for (2399ds/183Mi) 0.22/0.41 % (24243)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on E---3.1_24008 for (2399ds/2Mi) 0.22/0.41 % (24246)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on E---3.1_24008 for (2399ds/18Mi) 0.22/0.41 % (24245)lrs+1002_1:1_au=on:bd=off:e2e=on:sd=2:sos=on:ss=axioms:i=275:si=on:rtra=on_0 on E---3.1_24008 for (2399ds/275Mi) 0.22/0.41 % (24244)lrs+1002_1:128_aac=none:au=on:cnfonf=lazy_not_gen_be_off:sos=all:i=2:si=on:rtra=on_0 on E---3.1_24008 for (2399ds/2Mi) 0.22/0.41 % (24243)Instruction limit reached! 0.22/0.41 % (24243)------------------------------ 0.22/0.41 % (24243)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 0.22/0.41 % (24243)Termination reason: Unknown 0.22/0.41 % (24243)Termination phase: shuffling 0.22/0.41 0.22/0.41 % (24243)Memory used [KB]: 1279 0.22/0.41 % (24243)Time elapsed: 0.003 s 0.22/0.41 % (24243)Instructions burned: 2 (million) 0.22/0.41 % (24243)------------------------------ 0.22/0.41 % (24243)------------------------------ 0.22/0.41 % (24241)lrs+10_1:1_c=on:cnfonf=conj_eager:fd=off:fe=off:kws=frequency:spb=intro:i=4:si=on:rtra=on_0 on E---3.1_24008 for (2399ds/4Mi) 0.22/0.41 % (24244)Instruction limit reached! 0.22/0.41 % (24244)------------------------------ 0.22/0.41 % (24244)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 0.22/0.41 % (24244)Termination reason: Unknown 0.22/0.41 % (24244)Termination phase: shuffling 0.22/0.41 0.22/0.41 % (24244)Memory used [KB]: 1279 0.22/0.41 % (24244)Time elapsed: 0.004 s 0.22/0.41 % (24244)Instructions burned: 3 (million) 0.22/0.41 % (24244)------------------------------ 0.22/0.41 % (24244)------------------------------ 0.22/0.41 % (24242)Instruction limit reached! 0.22/0.41 % (24242)------------------------------ 0.22/0.41 % (24242)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 0.22/0.41 % (24242)Termination reason: Unknown 0.22/0.41 % (24242)Termination phase: Unused predicate definition removal 0.22/0.41 0.22/0.41 % (24242)Memory used [KB]: 1535 0.22/0.41 % (24242)Time elapsed: 0.010 s 0.22/0.41 % (24242)Instructions burned: 28 (million) 0.22/0.41 % (24242)------------------------------ 0.22/0.41 % (24242)------------------------------ 0.22/0.41 % (24241)Instruction limit reached! 0.22/0.41 % (24241)------------------------------ 0.22/0.41 % (24241)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 0.22/0.41 % (24241)Termination reason: Unknown 0.22/0.41 % (24241)Termination phase: shuffling 0.22/0.41 0.22/0.41 % (24241)Memory used [KB]: 1279 0.22/0.41 % (24241)Time elapsed: 0.005 s 0.22/0.41 % (24241)Instructions burned: 5 (million) 0.22/0.41 % (24241)------------------------------ 0.22/0.41 % (24241)------------------------------ 0.22/0.42 % (24246)Instruction limit reached! 0.22/0.42 % (24246)------------------------------ 0.22/0.42 % (24246)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 0.22/0.42 % (24246)Termination reason: Unknown 0.22/0.42 % (24246)Termination phase: Property scanning 0.22/0.42 0.22/0.42 % (24246)Memory used [KB]: 1535 0.22/0.42 % (24246)Time elapsed: 0.014 s 0.22/0.42 % (24246)Instructions burned: 19 (million) 0.22/0.42 % (24246)------------------------------ 0.22/0.42 % (24246)------------------------------ 0.22/0.42 % (24264)lrs+2_16:1_acc=model:au=on:bd=off:c=on:e2e=on:nm=2:sos=all:i=15:si=on:rtra=on_0 on E---3.1_24008 for (2399ds/15Mi) 0.22/0.43 % (24264)Instruction limit reached! 0.22/0.43 % (24264)------------------------------ 0.22/0.43 % (24264)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 0.22/0.43 % (24264)Termination reason: Unknown 0.22/0.43 % (24264)Termination phase: Property scanning 0.22/0.43 0.22/0.43 % (24264)Memory used [KB]: 1535 0.22/0.43 % (24264)Time elapsed: 0.007 s 0.22/0.43 % (24264)Instructions burned: 16 (million) 0.22/0.43 % (24264)------------------------------ 0.22/0.43 % (24264)------------------------------ 0.22/0.43 % (24262)lrs+10_1:1_bet=on:cnfonf=off:fd=off:hud=5:inj=on:i=3:si=on:rtra=on_0 on E---3.1_24008 for (2399ds/3Mi) 0.22/0.43 % (24263)lrs+1002_1:1_cnfonf=lazy_not_be_gen:hud=14:prag=on:sp=weighted_frequency:tnu=1:i=37:si=on:rtra=on_0 on E---3.1_24008 for (2399ds/37Mi) 0.22/0.43 % (24262)Instruction limit reached! 0.22/0.43 % (24262)------------------------------ 0.22/0.43 % (24262)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 0.22/0.43 % (24262)Termination reason: Unknown 0.22/0.43 % (24262)Termination phase: shuffling 0.22/0.43 0.22/0.43 % (24262)Memory used [KB]: 1279 0.22/0.43 % (24262)Time elapsed: 0.004 s 0.22/0.43 % (24262)Instructions burned: 3 (million) 0.22/0.43 % (24262)------------------------------ 0.22/0.43 % (24262)------------------------------ 0.22/0.43 % (24266)dis+21_1:1_cbe=off:cnfonf=off:fs=off:fsr=off:hud=1:inj=on:i=3:si=on:rtra=on_0 on E---3.1_24008 for (2399ds/3Mi) 0.22/0.43 % (24266)Instruction limit reached! 0.22/0.43 % (24266)------------------------------ 0.22/0.43 % (24266)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 0.22/0.43 % (24266)Termination reason: Unknown 0.22/0.43 % (24266)Termination phase: shuffling 0.22/0.43 0.22/0.43 % (24266)Memory used [KB]: 1279 0.22/0.43 % (24266)Time elapsed: 0.004 s 0.22/0.43 % (24266)Instructions burned: 3 (million) 0.22/0.43 % (24266)------------------------------ 0.22/0.43 % (24266)------------------------------ 0.22/0.44 % (24275)lrs+10_1:1_av=off:chr=on:plsq=on:slsq=on:i=7:si=on:rtra=on_0 on E---3.1_24008 for (2399ds/7Mi) 0.22/0.44 % (24272)lrs+1002_1:1_aac=none:au=on:cnfonf=lazy_gen:plsq=on:plsqc=1:plsqr=4203469,65536:i=1041:si=on:rtra=on_0 on E---3.1_24008 for (2399ds/1041Mi) 0.22/0.44 % (24275)Instruction limit reached! 0.22/0.44 % (24275)------------------------------ 0.22/0.44 % (24275)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 0.22/0.44 % (24275)Termination reason: Unknown 0.22/0.44 % (24275)Termination phase: shuffling 0.22/0.44 0.22/0.44 % (24275)Memory used [KB]: 1407 0.22/0.44 % (24275)Time elapsed: 0.004 s 0.22/0.44 % (24275)Instructions burned: 7 (million) 0.22/0.44 % (24275)------------------------------ 0.22/0.44 % (24275)------------------------------ 0.22/0.45 % (24279)lrs+10_1:1_acc=on:amm=sco:cs=on:tgt=full:i=16:si=on:rtra=on_0 on E---3.1_24008 for (2399ds/16Mi) 0.22/0.45 % (24263)Instruction limit reached! 0.22/0.45 % (24263)------------------------------ 0.22/0.45 % (24263)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 0.22/0.45 % (24263)Termination reason: Unknown 0.22/0.45 % (24263)Termination phase: Property scanning 0.22/0.45 0.22/0.45 % (24263)Memory used [KB]: 1918 0.22/0.45 % (24263)Time elapsed: 0.021 s 0.22/0.45 % (24263)Instructions burned: 37 (million) 0.22/0.45 % (24263)------------------------------ 0.22/0.45 % (24263)------------------------------ 0.22/0.45 % (24283)lrs+21_1:1_au=on:cnfonf=off:fd=preordered:fe=off:fsr=off:hud=11:inj=on:kws=precedence:s2pl=no:sp=weighted_frequency:tgt=full:i=3:si=on:rtra=on_0 on E---3.1_24008 for (2399ds/3Mi) 0.22/0.45 % (24283)Instruction limit reached! 0.22/0.45 % (24283)------------------------------ 0.22/0.45 % (24283)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 0.22/0.45 % (24283)Termination reason: Unknown 0.22/0.45 % (24283)Termination phase: shuffling 0.22/0.45 0.22/0.45 % (24283)Memory used [KB]: 1279 0.22/0.45 % (24283)Time elapsed: 0.003 s 0.22/0.45 % (24283)Instructions burned: 3 (million) 0.22/0.45 % (24283)------------------------------ 0.22/0.45 % (24283)------------------------------ 0.22/0.45 % (24289)lrs+2_1:1_apa=on:au=on:bd=preordered:cnfonf=off:cs=on:ixr=off:sos=on:i=3:si=on:rtra=on_0 on E---3.1_24008 for (2399ds/3Mi) 0.22/0.46 % (24289)Instruction limit reached! 0.22/0.46 % (24289)------------------------------ 0.22/0.46 % (24289)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 0.22/0.46 % (24289)Termination reason: Unknown 0.22/0.46 % (24289)Termination phase: shuffling 0.22/0.46 0.22/0.46 % (24289)Memory used [KB]: 1279 0.22/0.46 % (24289)Time elapsed: 0.004 s 0.22/0.46 % (24289)Instructions burned: 4 (million) 0.22/0.46 % (24289)------------------------------ 0.22/0.46 % (24289)------------------------------ 0.22/0.46 % (24279)Instruction limit reached! 0.22/0.46 % (24279)------------------------------ 0.22/0.46 % (24279)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 0.22/0.46 % (24279)Termination reason: Unknown 0.22/0.46 % (24279)Termination phase: Property scanning 0.22/0.46 0.22/0.46 % (24279)Memory used [KB]: 1535 0.22/0.46 % (24279)Time elapsed: 0.012 s 0.22/0.46 % (24279)Instructions burned: 16 (million) 0.22/0.46 % (24279)------------------------------ 0.22/0.46 % (24279)------------------------------ 0.22/0.46 % (24245)First to succeed. 0.22/0.47 % (24245)Refutation found. Thanks to Tanya! 0.22/0.47 % SZS status Theorem for E---3.1_24008 0.22/0.47 % SZS output start Proof for E---3.1_24008 0.22/0.47 thf(type_def_5, type, config256849571t_unit: $tType). 0.22/0.47 thf(type_def_6, type, message_p_v: $tType). 0.22/0.47 thf(type_def_8, type, list_c1059388851t_unit: $tType). 0.22/0.47 thf(type_def_9, type, list_message_p_v: $tType). 0.22/0.47 thf(type_def_10, type, nat: $tType). 0.22/0.47 thf(func_def_0, type, list_c1059388851t_unit: $tType). 0.22/0.47 thf(func_def_1, type, config256849571t_unit: $tType). 0.22/0.47 thf(func_def_2, type, list_message_p_v: $tType). 0.22/0.47 thf(func_def_3, type, message_p_v: $tType). 0.22/0.47 thf(func_def_4, type, nat: $tType). 0.22/0.47 thf(func_def_5, type, enabled_p_v_s: config256849571t_unit > message_p_v > $o). 0.22/0.47 thf(func_def_6, type, firstO1414030372_p_v_s: list_c1059388851t_unit > list_message_p_v > message_p_v > nat > $o). 0.22/0.47 thf(func_def_7, type, fLPThe1519354920_p_v_s: config256849571t_unit > (list_c1059388851t_unit > list_message_p_v > list_c1059388851t_unit) > (list_c1059388851t_unit > list_message_p_v > list_message_p_v) > nat > list_c1059388851t_unit). 0.22/0.47 thf(func_def_8, type, fLPThe536531371_p_v_s: config256849571t_unit > (list_c1059388851t_unit > list_message_p_v > list_c1059388851t_unit) > (list_c1059388851t_unit > list_message_p_v > list_message_p_v) > nat > list_message_p_v). 0.22/0.47 thf(func_def_9, type, minus_minus_nat: nat > nat > nat). 0.22/0.47 thf(func_def_10, type, one_one_nat: nat). 0.22/0.47 thf(func_def_11, type, zero_zero_nat: nat). 0.22/0.47 thf(func_def_12, type, prefix1615116500t_unit: list_c1059388851t_unit > list_c1059388851t_unit > $o). 0.22/0.47 thf(func_def_13, type, prefix47729710ge_p_v: list_message_p_v > list_message_p_v > $o). 0.22/0.47 thf(func_def_14, type, last_c571238084t_unit: list_c1059388851t_unit > config256849571t_unit). 0.22/0.47 thf(func_def_15, type, last_message_p_v: list_message_p_v > message_p_v). 0.22/0.47 thf(func_def_16, type, nil_co1338500125t_unit: list_c1059388851t_unit). 0.22/0.47 thf(func_def_17, type, nil_message_p_v: list_message_p_v). 0.22/0.47 thf(func_def_18, type, nth_co1649820636t_unit: list_c1059388851t_unit > nat > config256849571t_unit). 0.22/0.47 thf(func_def_19, type, nth_message_p_v: list_message_p_v > nat > message_p_v). 0.22/0.47 thf(func_def_20, type, suc: nat > nat). 0.22/0.47 thf(func_def_21, type, size_s1406904903t_unit: list_c1059388851t_unit > nat). 0.22/0.47 thf(func_def_22, type, size_s1168481041ge_p_v: list_message_p_v > nat). 0.22/0.47 thf(func_def_23, type, ord_less_nat: nat > nat > $o). 0.22/0.47 thf(func_def_24, type, ord_less_eq_nat: nat > nat > $o). 0.22/0.47 thf(func_def_25, type, fe: nat > list_c1059388851t_unit). 0.22/0.47 thf(func_def_26, type, ft: nat > list_message_p_v). 0.22/0.47 thf(func_def_27, type, index: nat). 0.22/0.47 thf(func_def_28, type, msgInSet: message_p_v). 0.22/0.47 thf(func_def_29, type, msg: message_p_v). 0.22/0.47 thf(func_def_30, type, n0: nat). 0.22/0.47 thf(func_def_31, type, n1: nat). 0.22/0.47 thf(func_def_32, type, nMsg: nat). 0.22/0.47 thf(func_def_33, type, n: nat). 0.22/0.47 thf(func_def_47, type, sP0: (config256849571t_unit > (list_c1059388851t_unit > list_message_p_v > list_c1059388851t_unit) > (list_c1059388851t_unit > list_message_p_v > list_message_p_v) > nat > $o) > (config256849571t_unit > (list_c1059388851t_unit > list_message_p_v > list_c1059388851t_unit) > (list_c1059388851t_unit > list_message_p_v > list_message_p_v) > nat > $o) > $o). 0.22/0.47 thf(func_def_48, type, sP1: (config256849571t_unit > (list_c1059388851t_unit > list_message_p_v > list_c1059388851t_unit) > (list_c1059388851t_unit > list_message_p_v > list_message_p_v) > nat > $o) > (config256849571t_unit > (list_c1059388851t_unit > list_message_p_v > list_c1059388851t_unit) > (list_c1059388851t_unit > list_message_p_v > list_message_p_v) > nat > $o) > $o). 0.22/0.47 thf(func_def_49, type, sK2: nat > (nat > $o) > nat). 0.22/0.47 thf(func_def_50, type, sK3: nat > (nat > $o) > nat). 0.22/0.47 thf(func_def_51, type, sK4: (nat > nat) > nat). 0.22/0.47 thf(func_def_52, type, sK5: (nat > $o) > nat > nat > nat). 0.22/0.47 thf(func_def_53, type, sK6: (nat > $o) > nat). 0.22/0.47 thf(func_def_54, type, sK7: (config256849571t_unit > (list_c1059388851t_unit > list_message_p_v > list_c1059388851t_unit) > (list_c1059388851t_unit > list_message_p_v > list_message_p_v) > nat > $o) > (config256849571t_unit > (list_c1059388851t_unit > list_message_p_v > list_c1059388851t_unit) > (list_c1059388851t_unit > list_message_p_v > list_message_p_v) > nat > $o) > config256849571t_unit). 0.22/0.47 thf(func_def_55, type, sK8: (config256849571t_unit > (list_c1059388851t_unit > list_message_p_v > list_c1059388851t_unit) > (list_c1059388851t_unit > list_message_p_v > list_message_p_v) > nat > $o) > (config256849571t_unit > (list_c1059388851t_unit > list_message_p_v > list_c1059388851t_unit) > (list_c1059388851t_unit > list_message_p_v > list_message_p_v) > nat > $o) > list_c1059388851t_unit > list_message_p_v > list_c1059388851t_unit). 0.22/0.47 thf(func_def_56, type, sK9: (config256849571t_unit > (list_c1059388851t_unit > list_message_p_v > list_c1059388851t_unit) > (list_c1059388851t_unit > list_message_p_v > list_message_p_v) > nat > $o) > (config256849571t_unit > (list_c1059388851t_unit > list_message_p_v > list_c1059388851t_unit) > (list_c1059388851t_unit > list_message_p_v > list_message_p_v) > nat > $o) > nat). 0.22/0.47 thf(func_def_57, type, sK10: (config256849571t_unit > (list_c1059388851t_unit > list_message_p_v > list_c1059388851t_unit) > (list_c1059388851t_unit > list_message_p_v > list_message_p_v) > nat > $o) > (config256849571t_unit > (list_c1059388851t_unit > list_message_p_v > list_c1059388851t_unit) > (list_c1059388851t_unit > list_message_p_v > list_message_p_v) > nat > $o) > list_c1059388851t_unit > list_message_p_v > list_message_p_v). 0.22/0.47 thf(func_def_58, type, sK11: (config256849571t_unit > (list_c1059388851t_unit > list_message_p_v > list_c1059388851t_unit) > (list_c1059388851t_unit > list_message_p_v > list_message_p_v) > nat > $o) > (config256849571t_unit > (list_c1059388851t_unit > list_message_p_v > list_c1059388851t_unit) > (list_c1059388851t_unit > list_message_p_v > list_message_p_v) > nat > $o) > list_c1059388851t_unit > list_message_p_v > list_message_p_v). 0.22/0.47 thf(func_def_59, type, sK12: (config256849571t_unit > (list_c1059388851t_unit > list_message_p_v > list_c1059388851t_unit) > (list_c1059388851t_unit > list_message_p_v > list_message_p_v) > nat > $o) > (config256849571t_unit > (list_c1059388851t_unit > list_message_p_v > list_c1059388851t_unit) > (list_c1059388851t_unit > list_message_p_v > list_message_p_v) > nat > $o) > config256849571t_unit). 0.22/0.47 thf(func_def_60, type, sK13: (config256849571t_unit > (list_c1059388851t_unit > list_message_p_v > list_c1059388851t_unit) > (list_c1059388851t_unit > list_message_p_v > list_message_p_v) > nat > $o) > (config256849571t_unit > (list_c1059388851t_unit > list_message_p_v > list_c1059388851t_unit) > (list_c1059388851t_unit > list_message_p_v > list_message_p_v) > nat > $o) > list_c1059388851t_unit > list_message_p_v > list_c1059388851t_unit). 0.22/0.47 thf(func_def_61, type, sK14: (config256849571t_unit > (list_c1059388851t_unit > list_message_p_v > list_c1059388851t_unit) > (list_c1059388851t_unit > list_message_p_v > list_message_p_v) > nat > $o) > (config256849571t_unit > (list_c1059388851t_unit > list_message_p_v > list_c1059388851t_unit) > (list_c1059388851t_unit > list_message_p_v > list_message_p_v) > nat > $o) > nat). 0.22/0.47 thf(func_def_62, type, sK15: (config256849571t_unit > (list_c1059388851t_unit > list_message_p_v > list_c1059388851t_unit) > (list_c1059388851t_unit > list_message_p_v > list_message_p_v) > nat > $o) > config256849571t_unit). 0.22/0.47 thf(func_def_63, type, sK16: (config256849571t_unit > (list_c1059388851t_unit > list_message_p_v > list_c1059388851t_unit) > (list_c1059388851t_unit > list_message_p_v > list_message_p_v) > nat > $o) > list_c1059388851t_unit > list_message_p_v > list_message_p_v). 0.22/0.47 thf(func_def_64, type, sK17: (config256849571t_unit > (list_c1059388851t_unit > list_message_p_v > list_c1059388851t_unit) > (list_c1059388851t_unit > list_message_p_v > list_message_p_v) > nat > $o) > list_c1059388851t_unit > list_message_p_v > list_c1059388851t_unit). 0.22/0.47 thf(func_def_65, type, sK18: (config256849571t_unit > (list_c1059388851t_unit > list_message_p_v > list_c1059388851t_unit) > (list_c1059388851t_unit > list_message_p_v > list_message_p_v) > nat > $o) > config256849571t_unit). 0.22/0.47 thf(func_def_66, type, sK19: (config256849571t_unit > (list_c1059388851t_unit > list_message_p_v > list_c1059388851t_unit) > (list_c1059388851t_unit > list_message_p_v > list_message_p_v) > nat > $o) > list_c1059388851t_unit > list_message_p_v > list_message_p_v). 0.22/0.47 thf(func_def_67, type, sK20: (config256849571t_unit > (list_c1059388851t_unit > list_message_p_v > list_c1059388851t_unit) > (list_c1059388851t_unit > list_message_p_v > list_message_p_v) > nat > $o) > list_c1059388851t_unit > list_message_p_v > list_c1059388851t_unit). 0.22/0.47 thf(func_def_68, type, sK21: (nat > $o) > nat > nat). 0.22/0.47 thf(func_def_69, type, sK22: nat > list_c1059388851t_unit). 0.22/0.47 thf(func_def_70, type, sK23: (list_c1059388851t_unit > $o) > list_c1059388851t_unit). 0.22/0.47 thf(func_def_71, type, sK24: (nat > $o) > nat > nat). 0.22/0.47 thf(func_def_72, type, sK25: nat > list_message_p_v). 0.22/0.47 thf(func_def_73, type, sK26: (nat > $o) > nat). 0.22/0.47 thf(func_def_74, type, sK27: (nat > nat) > nat). 0.22/0.47 thf(func_def_75, type, sK28: nat > nat). 0.22/0.47 thf(func_def_76, type, sK29: nat > nat). 0.22/0.47 thf(func_def_77, type, sK30: (nat > $o) > nat > nat). 0.22/0.47 thf(func_def_78, type, sK31: (nat > $o) > nat). 0.22/0.47 thf(func_def_79, type, sK32: (nat > nat > $o) > nat). 0.22/0.47 thf(func_def_80, type, sK33: (nat > nat > $o) > nat). 0.22/0.47 thf(func_def_81, type, sK34: (nat > nat > $o) > nat). 0.22/0.47 thf(func_def_82, type, sK35: (nat > nat > $o) > nat). 0.22/0.47 thf(func_def_83, type, sK36: (nat > nat) > nat). 0.22/0.47 thf(func_def_84, type, sK37: nat > nat > nat). 0.22/0.47 thf(func_def_85, type, sK38: (config256849571t_unit > (list_c1059388851t_unit > list_message_p_v > list_c1059388851t_unit) > (list_c1059388851t_unit > list_message_p_v > list_message_p_v) > nat > $o) > (config256849571t_unit > (list_c1059388851t_unit > list_message_p_v > list_c1059388851t_unit) > (list_c1059388851t_unit > list_message_p_v > list_message_p_v) > nat > $o) > nat). 0.22/0.47 thf(func_def_86, type, sK39: (config256849571t_unit > (list_c1059388851t_unit > list_message_p_v > list_c1059388851t_unit) > (list_c1059388851t_unit > list_message_p_v > list_message_p_v) > nat > $o) > (config256849571t_unit > (list_c1059388851t_unit > list_message_p_v > list_c1059388851t_unit) > (list_c1059388851t_unit > list_message_p_v > list_message_p_v) > nat > $o) > list_c1059388851t_unit > list_message_p_v > list_message_p_v). 0.22/0.47 thf(func_def_87, type, sK40: (config256849571t_unit > (list_c1059388851t_unit > list_message_p_v > list_c1059388851t_unit) > (list_c1059388851t_unit > list_message_p_v > list_message_p_v) > nat > $o) > (config256849571t_unit > (list_c1059388851t_unit > list_message_p_v > list_c1059388851t_unit) > (list_c1059388851t_unit > list_message_p_v > list_message_p_v) > nat > $o) > config256849571t_unit). 0.22/0.47 thf(func_def_88, type, sK41: (config256849571t_unit > (list_c1059388851t_unit > list_message_p_v > list_c1059388851t_unit) > (list_c1059388851t_unit > list_message_p_v > list_message_p_v) > nat > $o) > (config256849571t_unit > (list_c1059388851t_unit > list_message_p_v > list_c1059388851t_unit) > (list_c1059388851t_unit > list_message_p_v > list_message_p_v) > nat > $o) > list_c1059388851t_unit > list_message_p_v > list_c1059388851t_unit). 0.22/0.47 thf(func_def_89, type, sK42: (config256849571t_unit > (list_c1059388851t_unit > list_message_p_v > list_c1059388851t_unit) > (list_c1059388851t_unit > list_message_p_v > list_message_p_v) > nat > $o) > config256849571t_unit). 0.22/0.47 thf(func_def_90, type, sK43: (config256849571t_unit > (list_c1059388851t_unit > list_message_p_v > list_c1059388851t_unit) > (list_c1059388851t_unit > list_message_p_v > list_message_p_v) > nat > $o) > list_c1059388851t_unit > list_message_p_v > list_message_p_v). 0.22/0.47 thf(func_def_91, type, sK44: (config256849571t_unit > (list_c1059388851t_unit > list_message_p_v > list_c1059388851t_unit) > (list_c1059388851t_unit > list_message_p_v > list_message_p_v) > nat > $o) > list_c1059388851t_unit > list_message_p_v > list_c1059388851t_unit). 0.22/0.47 thf(func_def_92, type, sK45: (config256849571t_unit > (list_c1059388851t_unit > list_message_p_v > list_c1059388851t_unit) > (list_c1059388851t_unit > list_message_p_v > list_message_p_v) > nat > $o) > (config256849571t_unit > (list_c1059388851t_unit > list_message_p_v > list_c1059388851t_unit) > (list_c1059388851t_unit > list_message_p_v > list_message_p_v) > nat > $o) > list_c1059388851t_unit > list_message_p_v > list_c1059388851t_unit). 0.22/0.47 thf(func_def_93, type, sK46: (config256849571t_unit > (list_c1059388851t_unit > list_message_p_v > list_c1059388851t_unit) > (list_c1059388851t_unit > list_message_p_v > list_message_p_v) > nat > $o) > (config256849571t_unit > (list_c1059388851t_unit > list_message_p_v > list_c1059388851t_unit) > (list_c1059388851t_unit > list_message_p_v > list_message_p_v) > nat > $o) > nat). 0.22/0.47 thf(func_def_94, type, sK47: (config256849571t_unit > (list_c1059388851t_unit > list_message_p_v > list_c1059388851t_unit) > (list_c1059388851t_unit > list_message_p_v > list_message_p_v) > nat > $o) > (config256849571t_unit > (list_c1059388851t_unit > list_message_p_v > list_c1059388851t_unit) > (list_c1059388851t_unit > list_message_p_v > list_message_p_v) > nat > $o) > config256849571t_unit). 0.22/0.47 thf(func_def_95, type, sK48: (config256849571t_unit > (list_c1059388851t_unit > list_message_p_v > list_c1059388851t_unit) > (list_c1059388851t_unit > list_message_p_v > list_message_p_v) > nat > $o) > (config256849571t_unit > (list_c1059388851t_unit > list_message_p_v > list_c1059388851t_unit) > (list_c1059388851t_unit > list_message_p_v > list_message_p_v) > nat > $o) > list_c1059388851t_unit > list_message_p_v > list_message_p_v). 0.22/0.47 thf(func_def_96, type, sK49: (config256849571t_unit > (list_c1059388851t_unit > list_message_p_v > list_c1059388851t_unit) > (list_c1059388851t_unit > list_message_p_v > list_message_p_v) > nat > $o) > config256849571t_unit). 0.22/0.47 thf(func_def_97, type, sK50: (config256849571t_unit > (list_c1059388851t_unit > list_message_p_v > list_c1059388851t_unit) > (list_c1059388851t_unit > list_message_p_v > list_message_p_v) > nat > $o) > list_c1059388851t_unit > list_message_p_v > list_c1059388851t_unit). 0.22/0.47 thf(func_def_98, type, sK51: (config256849571t_unit > (list_c1059388851t_unit > list_message_p_v > list_c1059388851t_unit) > (list_c1059388851t_unit > list_message_p_v > list_message_p_v) > nat > $o) > list_c1059388851t_unit > list_message_p_v > list_message_p_v). 0.22/0.47 thf(func_def_99, type, sK52: nat > (nat > message_p_v > $o) > message_p_v). 0.22/0.47 thf(func_def_100, type, sK53: list_message_p_v > (nat > message_p_v > $o) > nat > nat). 0.22/0.47 thf(func_def_101, type, sK54: (nat > message_p_v > $o) > nat > list_message_p_v). 0.22/0.47 thf(func_def_102, type, sK55: (nat > message_p_v > $o) > nat > nat). 0.22/0.47 thf(func_def_103, type, sK56: nat > nat). 0.22/0.47 thf(func_def_104, type, sK57: list_message_p_v > list_message_p_v > nat). 0.22/0.47 thf(func_def_105, type, sK58: (nat > $o) > nat > (nat > $o) > nat). 0.22/0.47 thf(func_def_106, type, sK59: nat > nat). 0.22/0.47 thf(func_def_107, type, sK60: (nat > $o) > nat). 0.22/0.47 thf(func_def_108, type, sK61: list_c1059388851t_unit > list_c1059388851t_unit > nat). 0.22/0.47 thf(func_def_109, type, sK62: (nat > $o) > nat). 0.22/0.47 thf(func_def_110, type, sK63: (nat > $o) > nat). 0.22/0.47 thf(func_def_111, type, sK64: (nat > $o) > nat). 0.22/0.47 thf(func_def_112, type, sK65: (nat > nat) > nat). 0.22/0.47 thf(func_def_113, type, sK66: nat > (nat > config256849571t_unit > $o) > config256849571t_unit). 0.22/0.47 thf(func_def_114, type, sK67: list_c1059388851t_unit > nat > (nat > config256849571t_unit > $o) > nat). 0.22/0.47 thf(func_def_115, type, sK68: nat > (nat > config256849571t_unit > $o) > list_c1059388851t_unit). 0.22/0.47 thf(func_def_116, type, sK69: nat > (nat > config256849571t_unit > $o) > nat). 0.22/0.47 thf(func_def_117, type, sK70: (nat > $o) > nat > nat). 0.22/0.47 thf(func_def_118, type, sK71: (nat > $o) > nat > nat). 0.22/0.47 thf(func_def_119, type, sK72: (nat > $o) > nat > nat). 0.22/0.47 thf(func_def_120, type, sK73: (nat > $o) > nat > nat). 0.22/0.47 thf(func_def_121, type, sK74: (nat > $o) > nat > nat). 0.22/0.47 thf(func_def_122, type, sK75: (nat > $o) > nat > nat). 0.22/0.47 thf(func_def_123, type, sK76: (nat > nat > $o) > nat). 0.22/0.47 thf(func_def_124, type, sK77: (nat > nat > $o) > nat). 0.22/0.47 thf(func_def_125, type, sK78: (nat > nat > $o) > nat). 0.22/0.47 thf(func_def_126, type, sK79: (nat > nat > $o) > nat). 0.22/0.47 thf(func_def_127, type, sK80: nat > (nat > $o) > nat > nat). 0.22/0.47 thf(func_def_128, type, sK81: (nat > $o) > nat). 0.22/0.47 thf(func_def_129, type, sK82: (nat > $o) > nat). 0.22/0.47 thf(func_def_130, type, sK83: (list_message_p_v > $o) > list_message_p_v). 0.22/0.47 thf(func_def_131, type, sK84: nat > nat > nat). 0.22/0.47 thf(func_def_132, type, sK85: (nat > $o) > nat). 0.22/0.47 thf(func_def_133, type, sK86: (nat > $o) > nat). 0.22/0.47 thf(func_def_134, type, sK87: nat > (nat > $o) > nat). 0.22/0.47 thf(func_def_135, type, sK88: nat > (nat > $o) > nat). 0.22/0.47 thf(func_def_136, type, sK89: nat > nat > nat). 0.22/0.47 thf(func_def_137, type, sK90: nat > nat). 0.22/0.47 thf(func_def_138, type, sK91: (nat > nat > $o) > nat). 0.22/0.47 thf(func_def_139, type, sK92: (nat > nat > $o) > nat). 0.22/0.47 thf(func_def_140, type, sK93: (nat > nat > $o) > nat). 0.22/0.47 thf(func_def_141, type, sK94: (nat > nat > $o) > nat). 0.22/0.47 thf(func_def_142, type, sK95: (nat > nat > $o) > nat). 0.22/0.47 thf(func_def_143, type, sK96: (nat > nat) > nat). 0.22/0.47 thf(func_def_144, type, sK97: (nat > nat) > nat). 0.22/0.47 thf(func_def_145, type, sK98: nat > (nat > $o) > nat). 0.22/0.47 thf(func_def_146, type, sK99: (nat > $o) > nat). 0.22/0.47 thf(func_def_147, type, sK100: nat > nat > nat). 0.22/0.47 thf(func_def_148, type, sK101: nat > (nat > $o) > nat). 0.22/0.47 thf(func_def_150, type, ph103: !>[X0: $tType]:(X0)). 0.22/0.47 thf(f1440,plain,( 0.22/0.47 $false), 0.22/0.47 inference(subsumption_resolution,[status(thm)],[f1439,f1216])). 0.22/0.47 thf(f1216,plain,( 0.22/0.47 ((ord_less_nat @ n1 @ (size_s1406904903t_unit @ (fe @ index))) = $true)), 0.22/0.47 inference(cnf_transformation,[status(thm)],[f489])). 0.22/0.47 thf(f489,plain,( 0.22/0.47 ((ord_less_nat @ n1 @ (size_s1406904903t_unit @ (fe @ index))) = $true)), 0.22/0.47 inference(fool_elimination,[status(thm)],[f488])). 0.22/0.47 thf(f488,plain,( 0.22/0.47 (ord_less_nat @ n1 @ (size_s1406904903t_unit @ (fe @ index)))), 0.22/0.47 inference(rectify,[status(thm)],[f174])). 0.22/0.47 thf(f174,axiom,( 0.22/0.47 (ord_less_nat @ n1 @ (size_s1406904903t_unit @ (fe @ index)))), 0.22/0.47 file('/export/starexec/sandbox/tmp/tmp.YQPfih25zd/E---3.1_24008.p',fact_0_Occ3_H)). 0.22/0.47 thf(f1439,plain,( 0.22/0.47 ((ord_less_nat @ n1 @ (size_s1406904903t_unit @ (fe @ index))) != $true)), 0.22/0.47 inference(trivial_inequality_removal,[status(thm)],[f1435])). 0.22/0.47 thf(f1435,plain,( 0.22/0.47 ((ord_less_nat @ n1 @ (size_s1406904903t_unit @ (fe @ index))) != $true) | ($true != $true)), 0.22/0.47 inference(superposition,[status(thm)],[f1419,f1222])). 0.22/0.47 thf(f1222,plain,( 0.22/0.47 ( ! [X2 : nat,X0 : nat,X1 : nat] : (($true = (ord_less_nat @ (minus_minus_nat @ X2 @ X1) @ X0)) | ($true != (ord_less_nat @ X2 @ X0))) )), 0.22/0.47 inference(cnf_transformation,[status(thm)],[f731])). 0.22/0.47 thf(f731,plain,( 0.22/0.47 ! [X0 : nat,X1 : nat,X2 : nat] : (($true = (ord_less_nat @ (minus_minus_nat @ X2 @ X1) @ X0)) | ($true != (ord_less_nat @ X2 @ X0)))), 0.22/0.47 inference(ennf_transformation,[status(thm)],[f585])). 0.22/0.47 thf(f585,plain,( 0.22/0.47 ! [X0 : nat,X1 : nat,X2 : nat] : (($true = (ord_less_nat @ X2 @ X0)) => ($true = (ord_less_nat @ (minus_minus_nat @ X2 @ X1) @ X0)))), 0.22/0.47 inference(fool_elimination,[status(thm)],[f584])). 0.22/0.47 thf(f584,plain,( 0.22/0.47 ! [X0 : nat,X1 : nat,X2 : nat] : ((ord_less_nat @ X2 @ X0) => (ord_less_nat @ (minus_minus_nat @ X2 @ X1) @ X0))), 0.22/0.47 inference(rectify,[status(thm)],[f189])). 0.22/0.47 thf(f189,axiom,( 0.22/0.47 ! [X22 : nat,X1 : nat,X30 : nat] : ((ord_less_nat @ X30 @ X22) => (ord_less_nat @ (minus_minus_nat @ X30 @ X1) @ X22))), 0.22/0.47 file('/export/starexec/sandbox/tmp/tmp.YQPfih25zd/E---3.1_24008.p',fact_154_less__imp__diff__less)). 0.22/0.47 thf(f1419,plain,( 0.22/0.47 ($true != (ord_less_nat @ (minus_minus_nat @ n1 @ (suc @ zero_zero_nat)) @ (size_s1406904903t_unit @ (fe @ index))))), 0.22/0.47 inference(trivial_inequality_removal,[status(thm)],[f1418])). 0.22/0.47 thf(f1418,plain,( 0.22/0.47 ((nth_co1649820636t_unit @ (fe @ index) @ (minus_minus_nat @ n1 @ (suc @ zero_zero_nat))) != (nth_co1649820636t_unit @ (fe @ index) @ (minus_minus_nat @ n1 @ (suc @ zero_zero_nat)))) | ($true != (ord_less_nat @ (minus_minus_nat @ n1 @ (suc @ zero_zero_nat)) @ (size_s1406904903t_unit @ (fe @ index))))), 0.22/0.47 inference(superposition,[status(thm)],[f1370,f1303])). 0.22/0.47 thf(f1303,plain,( 0.22/0.47 ( ! [X0 : nat] : (((nth_co1649820636t_unit @ (fe @ (suc @ index)) @ X0) = (nth_co1649820636t_unit @ (fe @ index) @ X0)) | ($true != (ord_less_nat @ X0 @ (size_s1406904903t_unit @ (fe @ index))))) )), 0.22/0.47 inference(cnf_transformation,[status(thm)],[f800])). 0.22/0.47 thf(f800,plain,( 0.22/0.47 ! [X0 : nat] : (((nth_co1649820636t_unit @ (fe @ (suc @ index)) @ X0) = (nth_co1649820636t_unit @ (fe @ index) @ X0)) | ($true != (ord_less_nat @ X0 @ (size_s1406904903t_unit @ (fe @ index)))))), 0.22/0.47 inference(ennf_transformation,[status(thm)],[f289])). 0.22/0.47 thf(f289,plain,( 0.22/0.47 ! [X0 : nat] : (($true = (ord_less_nat @ X0 @ (size_s1406904903t_unit @ (fe @ index)))) => ((nth_co1649820636t_unit @ (fe @ (suc @ index)) @ X0) = (nth_co1649820636t_unit @ (fe @ index) @ X0)))), 0.22/0.47 inference(fool_elimination,[status(thm)],[f288])). 0.22/0.47 thf(f288,plain,( 0.22/0.47 ! [X0 : nat] : ((ord_less_nat @ X0 @ (size_s1406904903t_unit @ (fe @ index))) => ((nth_co1649820636t_unit @ (fe @ (suc @ index)) @ X0) = (nth_co1649820636t_unit @ (fe @ index) @ X0)))), 0.22/0.47 inference(rectify,[status(thm)],[f89])). 0.22/0.47 thf(f89,axiom,( 0.22/0.47 ! [X16 : nat] : ((ord_less_nat @ X16 @ (size_s1406904903t_unit @ (fe @ index))) => ((nth_co1649820636t_unit @ (fe @ index) @ X16) = (nth_co1649820636t_unit @ (fe @ (suc @ index)) @ X16)))), 0.22/0.47 file('/export/starexec/sandbox/tmp/tmp.YQPfih25zd/E---3.1_24008.p',fact_1_SameCfgOnLow)). 0.22/0.47 thf(f1370,plain,( 0.22/0.47 ((nth_co1649820636t_unit @ (fe @ (suc @ index)) @ (minus_minus_nat @ n1 @ (suc @ zero_zero_nat))) != (nth_co1649820636t_unit @ (fe @ index) @ (minus_minus_nat @ n1 @ (suc @ zero_zero_nat))))), 0.22/0.47 inference(definition_unfolding,[status(thm)],[f1291,f1164,f1164])). 0.22/0.47 thf(f1164,plain,( 0.22/0.47 (one_one_nat = (suc @ zero_zero_nat))), 0.22/0.47 inference(cnf_transformation,[status(thm)],[f168])). 0.22/0.47 thf(f168,axiom,( 0.22/0.47 (one_one_nat = (suc @ zero_zero_nat))), 0.22/0.47 file('/export/starexec/sandbox/tmp/tmp.YQPfih25zd/E---3.1_24008.p',fact_136_One__nat__def)). 0.22/0.47 thf(f1291,plain,( 0.22/0.47 ((nth_co1649820636t_unit @ (fe @ index) @ (minus_minus_nat @ n1 @ one_one_nat)) != (nth_co1649820636t_unit @ (fe @ (suc @ index)) @ (minus_minus_nat @ n1 @ one_one_nat)))), 0.22/0.47 inference(cnf_transformation,[status(thm)],[f638])). 0.22/0.47 thf(f638,plain,( 0.22/0.47 ((nth_co1649820636t_unit @ (fe @ index) @ (minus_minus_nat @ n1 @ one_one_nat)) != (nth_co1649820636t_unit @ (fe @ (suc @ index)) @ (minus_minus_nat @ n1 @ one_one_nat)))), 0.22/0.47 inference(flattening,[status(thm)],[f193])). 0.22/0.47 thf(f193,negated_conjecture,( 0.22/0.47 ~((nth_co1649820636t_unit @ (fe @ index) @ (minus_minus_nat @ n1 @ one_one_nat)) = (nth_co1649820636t_unit @ (fe @ (suc @ index)) @ (minus_minus_nat @ n1 @ one_one_nat)))), 0.22/0.47 inference(negated_conjecture,[status(cth)],[f192])). 0.22/0.47 thf(f192,conjecture,( 0.22/0.47 ((nth_co1649820636t_unit @ (fe @ index) @ (minus_minus_nat @ n1 @ one_one_nat)) = (nth_co1649820636t_unit @ (fe @ (suc @ index)) @ (minus_minus_nat @ n1 @ one_one_nat)))), 0.22/0.47 file('/export/starexec/sandbox/tmp/tmp.YQPfih25zd/E---3.1_24008.p',conj_0)). 0.22/0.47 % SZS output end Proof for E---3.1_24008 0.22/0.47 % (24245)------------------------------ 0.22/0.47 % (24245)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 0.22/0.47 % (24245)Termination reason: Refutation 0.22/0.47 0.22/0.47 % (24245)Memory used [KB]: 6780 0.22/0.47 % (24245)Time elapsed: 0.058 s 0.22/0.47 % (24245)Instructions burned: 90 (million) 0.22/0.47 % (24245)------------------------------ 0.22/0.47 % (24245)------------------------------ 0.22/0.47 % (24233)Success in time 0.077 s 0.22/0.47 EOF