0.10/0.19	% Problem    : Vampire---4.8_11374 : TPTP v0.0.0. Released v0.0.0.
0.10/0.21	% Command    : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
0.20/0.41	% Computer : n001.cluster.edu
0.20/0.41	% Model    : x86_64 x86_64
0.20/0.41	% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
0.20/0.41	% Memory   : 8042.1875MB
0.20/0.41	% OS       : Linux 3.10.0-693.el7.x86_64
0.20/0.41	% CPULimit   : 1440
0.20/0.41	% WCLimit    : 180
0.20/0.41	% DateTime   : Mon Jul  3 13:29:45 EDT 2023
0.20/0.41	% CPUTime    : 
0.20/0.41	This is a THF_ problem
0.20/0.41	Running vampire_rel_static_ahmed-new-hol_6848 --cores 8 --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_hol /export/starexec/sandbox2/tmp/tmp.3Ycv3cJPCz/Vampire---4.8_11374 -m 12000  -t 180
0.20/0.47	% (11483)lrs+10_1:2_cnfonf=off:hud=1:inj=on:i=36:si=on:rtra=on_0 on Vampire---4 for (1799ds/36Mi)
0.20/0.47	% (11487)ott+1010_1:1_cnfonf=lazy_gen:fe=off:kws=inv_arity:plsq=on:plsqc=1:plsqr=32,1:prag=on:sp=const_frequency:i=74:si=on:rtra=on_0 on Vampire---4 for (1799ds/74Mi)
0.20/0.47	% (11484)lrs+1002_1:128_au=on:c=on:fsr=off:piset=equals:i=34:si=on:rtra=on_0 on Vampire---4 for (1799ds/34Mi)
0.20/0.47	% (11485)lrs+1002_1:1_au=on:s2a=on:s2agt=32:sgt=8:ss=axioms:i=385:si=on:rtra=on_0 on Vampire---4 for (1799ds/385Mi)
0.20/0.47	% (11486)dis+1002_1:128_acc=on:er=filter:i=17:si=on:rtra=on_0 on Vampire---4 for (1799ds/17Mi)
0.20/0.47	% (11488)dis+1004_1:1_cha=on:cs=on:fe=off:hud=1:i=4:si=on:rtra=on_0 on Vampire---4 for (1799ds/4Mi)
0.20/0.47	% (11482)dis+10_1:128_hud=1:i=96:si=on:rtra=on_0 on Vampire---4 for (1799ds/96Mi)
0.20/0.47	% (11489)lrs+1002_1:14_au=on:bd=off:e2e=on:fde=unused:sac=on:sos=on:i=915:si=on:rtra=on_0 on Vampire---4 for (1799ds/915Mi)
0.20/0.47	% (11488)Instruction limit reached!
0.20/0.47	% (11488)------------------------------
0.20/0.47	% (11488)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100)
0.20/0.47	% (11488)Termination reason: Unknown
0.20/0.47	% (11488)Termination phase: shuffling
0.20/0.47	
0.20/0.47	% (11488)Memory used [KB]: 2174
0.20/0.47	% (11488)Time elapsed: 0.004 s
0.20/0.47	% (11488)Instructions burned: 4 (million)
0.20/0.47	% (11488)------------------------------
0.20/0.47	% (11488)------------------------------
0.20/0.48	% (11486)Instruction limit reached!
0.20/0.48	% (11486)------------------------------
0.20/0.48	% (11486)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100)
0.20/0.48	% (11486)Termination reason: Unknown
0.20/0.48	% (11486)Termination phase: shuffling
0.20/0.48	
0.20/0.48	% (11486)Memory used [KB]: 2686
0.20/0.48	% (11486)Time elapsed: 0.011 s
0.20/0.48	% (11486)Instructions burned: 18 (million)
0.20/0.48	% (11486)------------------------------
0.20/0.48	% (11486)------------------------------
0.26/0.48	% (11490)dis+21_1:8_apa=on:cnfonf=off:fd=off:fsr=off:hud=0:ins=1:kws=inv_frequency:nwc=10.0:ss=axioms:st=5.0:i=21:si=on:rtra=on_0 on Vampire---4 for (1799ds/21Mi)
0.26/0.48	% (11484)Instruction limit reached!
0.26/0.48	% (11484)------------------------------
0.26/0.48	% (11484)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100)
0.26/0.48	% (11484)Termination reason: Unknown
0.26/0.48	% (11484)Termination phase: shuffling
0.26/0.48	
0.26/0.48	% (11484)Memory used [KB]: 3198
0.26/0.48	% (11484)Time elapsed: 0.019 s
0.26/0.48	% (11484)Instructions burned: 34 (million)
0.26/0.48	% (11484)------------------------------
0.26/0.48	% (11484)------------------------------
0.26/0.48	% (11483)Instruction limit reached!
0.26/0.48	% (11483)------------------------------
0.26/0.48	% (11483)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100)
0.26/0.48	% (11483)Termination reason: Unknown
0.26/0.48	% (11483)Termination phase: shuffling
0.26/0.48	
0.26/0.48	% (11483)Memory used [KB]: 3326
0.26/0.48	% (11483)Time elapsed: 0.021 s
0.26/0.48	% (11483)Instructions burned: 36 (million)
0.26/0.48	% (11483)------------------------------
0.26/0.48	% (11483)------------------------------
0.26/0.49	% (11491)lrs-3_1:1024_cbe=off:chr=on:tnu=1:i=7:si=on:rtra=on_0 on Vampire---4 for (1799ds/7Mi)
0.26/0.49	% (11491)Instruction limit reached!
0.26/0.49	% (11491)------------------------------
0.26/0.49	% (11491)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100)
0.26/0.49	% (11491)Termination reason: Unknown
0.26/0.49	% (11491)Termination phase: shuffling
0.26/0.49	
0.26/0.49	% (11491)Memory used [KB]: 2174
0.26/0.49	% (11491)Time elapsed: 0.005 s
0.26/0.49	% (11491)Instructions burned: 7 (million)
0.26/0.49	% (11491)------------------------------
0.26/0.49	% (11491)------------------------------
0.26/0.49	% (11490)Instruction limit reached!
0.26/0.49	% (11490)------------------------------
0.26/0.49	% (11490)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100)
0.26/0.49	% (11490)Termination reason: Unknown
0.26/0.49	% (11490)Termination phase: shuffling
0.26/0.49	
0.26/0.49	% (11490)Memory used [KB]: 2814
0.26/0.49	% (11490)Time elapsed: 0.013 s
0.26/0.49	% (11490)Instructions burned: 22 (million)
0.26/0.49	% (11490)------------------------------
0.26/0.49	% (11490)------------------------------
0.26/0.50	% (11492)dis+2_1:1_bd=off:e2e=on:hud=1:nm=3:piset=or:prag=on:s2a=on:sp=const_max:i=1021:si=on:rtra=on_0 on Vampire---4 for (1799ds/1021Mi)
0.26/0.50	% (11493)lrs-1004_1:1_au=on:bsd=on:cbe=off:cnfonf=off:fe=axiom:fsd=on:i=71:si=on:rtra=on_0 on Vampire---4 for (1799ds/71Mi)
0.26/0.50	% (11487)Instruction limit reached!
0.26/0.50	% (11487)------------------------------
0.26/0.50	% (11487)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100)
0.26/0.50	% (11487)Termination reason: Unknown
0.26/0.50	% (11487)Termination phase: shuffling
0.26/0.50	
0.26/0.50	% (11487)Memory used [KB]: 3965
0.26/0.50	% (11487)Time elapsed: 0.035 s
0.26/0.50	% (11487)Instructions burned: 75 (million)
0.26/0.50	% (11487)------------------------------
0.26/0.50	% (11487)------------------------------
0.26/0.50	% (11494)lrs-1010_1:50_au=on:awrs=converge:awrsf=430:bet=on:cbe=off:cha=on:nm=20:sac=on:i=9:si=on:rtra=on_0 on Vampire---4 for (1799ds/9Mi)
0.26/0.51	% (11495)lrs+1010_1:1_au=on:s2a=on:sd=1:sgt=50:ss=axioms:i=1044:si=on:rtra=on_0 on Vampire---4 for (1799ds/1044Mi)
0.26/0.51	% (11494)Instruction limit reached!
0.26/0.51	% (11494)------------------------------
0.26/0.51	% (11494)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100)
0.26/0.51	% (11494)Termination reason: Unknown
0.26/0.51	% (11494)Termination phase: shuffling
0.26/0.51	
0.26/0.51	% (11494)Memory used [KB]: 2302
0.26/0.51	% (11494)Time elapsed: 0.007 s
0.26/0.51	% (11494)Instructions burned: 9 (million)
0.26/0.51	% (11494)------------------------------
0.26/0.51	% (11494)------------------------------
0.26/0.51	% (11496)dis+10_1:1_ixr=off:plsq=on:plsqc=1:plsqr=32,1:s2a=on:i=128:si=on:rtra=on_0 on Vampire---4 for (1799ds/128Mi)
0.26/0.51	% (11482)Instruction limit reached!
0.26/0.51	% (11482)------------------------------
0.26/0.51	% (11482)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100)
0.26/0.51	% (11482)Termination reason: Unknown
0.26/0.51	% (11482)Termination phase: Preprocessing 3
0.26/0.51	
0.26/0.51	% (11482)Memory used [KB]: 4221
0.26/0.51	% (11482)Time elapsed: 0.049 s
0.26/0.51	% (11482)Instructions burned: 96 (million)
0.26/0.51	% (11482)------------------------------
0.26/0.51	% (11482)------------------------------
0.26/0.52	% (11497)lrs+21_1:1_cond=on:e2e=on:i=61:si=on:rtra=on_0 on Vampire---4 for (1799ds/61Mi)
0.26/0.53	% (11498)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=14:si=on:rtra=on_0 on Vampire---4 for (1799ds/14Mi)
0.26/0.53	% (11493)Instruction limit reached!
0.26/0.53	% (11493)------------------------------
0.26/0.53	% (11493)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100)
0.26/0.53	% (11493)Termination reason: Unknown
0.26/0.53	% (11493)Termination phase: Property scanning
0.26/0.53	
0.26/0.53	% (11493)Memory used [KB]: 3709
0.26/0.53	% (11493)Time elapsed: 0.037 s
0.26/0.53	% (11493)Instructions burned: 73 (million)
0.26/0.53	% (11493)------------------------------
0.26/0.53	% (11493)------------------------------
0.26/0.54	% (11498)Instruction limit reached!
0.26/0.54	% (11498)------------------------------
0.26/0.54	% (11498)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100)
0.26/0.54	% (11498)Termination reason: Unknown
0.26/0.54	% (11498)Termination phase: shuffling
0.26/0.54	
0.26/0.54	% (11498)Memory used [KB]: 2686
0.26/0.54	% (11498)Time elapsed: 0.010 s
0.26/0.54	% (11498)Instructions burned: 14 (million)
0.26/0.54	% (11498)------------------------------
0.26/0.54	% (11498)------------------------------
0.26/0.55	% (11499)lrs+2_5:1_cnfonf=lazy_not_be_gen:hud=10:inj=on:ntd=on:tnu=1:i=2:si=on:rtra=on_0 on Vampire---4 for (1798ds/2Mi)
0.26/0.55	% (11499)Instruction limit reached!
0.26/0.55	% (11499)------------------------------
0.26/0.55	% (11499)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100)
0.26/0.55	% (11499)Termination reason: Unknown
0.26/0.55	% (11499)Termination phase: shuffling
0.26/0.55	
0.26/0.55	% (11499)Memory used [KB]: 2046
0.26/0.55	% (11499)Time elapsed: 0.004 s
0.26/0.55	% (11499)Instructions burned: 2 (million)
0.26/0.55	% (11499)------------------------------
0.26/0.55	% (11499)------------------------------
0.26/0.55	% (11500)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 Vampire---4 for (1798ds/1041Mi)
0.26/0.55	% (11497)Instruction limit reached!
0.26/0.55	% (11497)------------------------------
0.26/0.55	% (11497)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100)
0.26/0.55	% (11497)Termination reason: Unknown
0.26/0.55	% (11497)Termination phase: Property scanning
0.26/0.55	
0.26/0.55	% (11497)Memory used [KB]: 3582
0.26/0.55	% (11497)Time elapsed: 0.032 s
0.26/0.55	% (11497)Instructions burned: 62 (million)
0.26/0.55	% (11497)------------------------------
0.26/0.55	% (11497)------------------------------
0.26/0.56	% (11501)lrs+10_1:128_cnfonf=lazy_not_gen_be_off:hud=1:ins=1:i=11:si=on:rtra=on_0 on Vampire---4 for (1798ds/11Mi)
0.26/0.57	% (11501)Instruction limit reached!
0.26/0.57	% (11501)------------------------------
0.26/0.57	% (11501)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100)
0.26/0.57	% (11501)Termination reason: Unknown
0.26/0.57	% (11501)Termination phase: shuffling
0.26/0.57	
0.26/0.57	% (11501)Memory used [KB]: 2430
0.26/0.57	% (11501)Time elapsed: 0.007 s
0.26/0.57	% (11501)Instructions burned: 12 (million)
0.26/0.57	% (11501)------------------------------
0.26/0.57	% (11501)------------------------------
0.26/0.57	% (11502)lrs+10_1:1_au=on:cnfonf=off:sd=1:sgt=16:ss=axioms:i=140:si=on:rtra=on_0 on Vampire---4 for (1798ds/140Mi)
0.26/0.57	% (11496)Instruction limit reached!
0.26/0.57	% (11496)------------------------------
0.26/0.57	% (11496)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100)
0.26/0.57	% (11496)Termination reason: Unknown
0.26/0.57	% (11496)Termination phase: Property scanning
0.26/0.57	
0.26/0.57	% (11496)Memory used [KB]: 4349
0.26/0.57	% (11496)Time elapsed: 0.062 s
0.26/0.57	% (11496)Instructions burned: 128 (million)
0.26/0.57	% (11496)------------------------------
0.26/0.57	% (11496)------------------------------
0.26/0.58	% (11503)dis+1002_1:1_bd=preordered:c=on:cbe=off:cnfonf=lazy_not_gen_be_off:hud=10:ixr=off:prag=on:i=26:si=on:rtra=on_0 on Vampire---4 for (1798ds/26Mi)
0.26/0.58	% (11489)Refutation not found, incomplete strategy
0.26/0.58	% (11489)------------------------------
0.26/0.58	% (11489)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100)
0.26/0.58	% (11489)Termination reason: Refutation not found, incomplete strategy
0.26/0.58	
0.26/0.58	
0.26/0.58	% (11489)Memory used [KB]: 9978
0.26/0.58	% (11489)Time elapsed: 0.118 s
0.26/0.58	% (11489)Instructions burned: 236 (million)
0.26/0.58	% (11489)------------------------------
0.26/0.58	% (11489)------------------------------
0.26/0.58	% (11504)lrs+1002_1:4_au=on:av=off:bsr=on:cbe=off:nm=2:i=56:si=on:rtra=on_0 on Vampire---4 for (1798ds/56Mi)
1.31/0.59	% (11503)Instruction limit reached!
1.31/0.59	% (11503)------------------------------
1.31/0.59	% (11503)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100)
1.31/0.59	% (11503)Termination reason: Unknown
1.31/0.59	% (11503)Termination phase: shuffling
1.31/0.59	
1.31/0.59	% (11503)Memory used [KB]: 2814
1.31/0.59	% (11503)Time elapsed: 0.014 s
1.31/0.59	% (11503)Instructions burned: 27 (million)
1.31/0.59	% (11503)------------------------------
1.31/0.59	% (11503)------------------------------
1.31/0.60	% (11505)lrs+1002_1:1_au=on:bd=off:e2e=on:sd=2:sos=on:ss=axioms:i=275:si=on:rtra=on_0 on Vampire---4 for (1798ds/275Mi)
1.31/0.61	% (11506)lrs+10_1:1_bet=on:cnfonf=off:fd=off:hud=5:inj=on:i=3:si=on:rtra=on_0 on Vampire---4 for (1798ds/3Mi)
1.31/0.61	% (11506)Instruction limit reached!
1.31/0.61	% (11506)------------------------------
1.31/0.61	% (11506)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100)
1.31/0.61	% (11506)Termination reason: Unknown
1.31/0.61	% (11506)Termination phase: shuffling
1.31/0.61	
1.31/0.61	% (11506)Memory used [KB]: 2046
1.31/0.61	% (11506)Time elapsed: 0.004 s
1.31/0.61	% (11506)Instructions burned: 3 (million)
1.42/0.61	% (11506)------------------------------
1.42/0.61	% (11506)------------------------------
1.42/0.61	% (11504)Instruction limit reached!
1.42/0.61	% (11504)------------------------------
1.42/0.61	% (11504)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100)
1.42/0.61	% (11504)Termination reason: Unknown
1.42/0.61	% (11504)Termination phase: Property scanning
1.42/0.61	
1.42/0.61	% (11504)Memory used [KB]: 3582
1.42/0.61	% (11504)Time elapsed: 0.031 s
1.42/0.61	% (11504)Instructions burned: 57 (million)
1.42/0.61	% (11504)------------------------------
1.42/0.61	% (11504)------------------------------
1.42/0.62	% (11495)First to succeed.
1.42/0.62	% (11495)Refutation found. Thanks to Tanya!
1.42/0.62	% SZS status Theorem for Vampire---4
1.42/0.62	% SZS output start Proof for Vampire---4
1.42/0.62	thf(type_def_5, type, produc1501160679le_alt: $tType).
1.42/0.62	thf(type_def_7, type, arrow_1429601828e_indi: $tType).
1.42/0.62	thf(type_def_8, type, arrow_475358991le_alt: $tType).
1.42/0.62	thf(type_def_9, type, nat: $tType).
1.42/0.62	thf(type_def_10, type, product_unit: $tType).
1.42/0.62	thf(func_def_0, type, arrow_475358991le_alt: $tType).
1.42/0.62	thf(func_def_1, type, arrow_1429601828e_indi: $tType).
1.42/0.62	thf(func_def_2, type, nat: $tType).
1.42/0.62	thf(func_def_3, type, product_unit: $tType).
1.42/0.62	thf(func_def_4, type, produc1501160679le_alt: $tType).
1.42/0.62	thf(func_def_5, type, all: (produc1501160679le_alt > $o) > $o).
1.42/0.62	thf(func_def_6, type, arrow_797024463le_IIA: ((arrow_1429601828e_indi > produc1501160679le_alt > $o) > produc1501160679le_alt > $o) > $o).
1.42/0.62	thf(func_def_7, type, arrow_823908191le_Lin: (produc1501160679le_alt > $o) > $o).
1.42/0.62	thf(func_def_8, type, arrow_734252939e_Prof: (arrow_1429601828e_indi > produc1501160679le_alt > $o) > $o).
1.42/0.62	thf(func_def_9, type, arrow_789600939_above: (produc1501160679le_alt > $o) > arrow_475358991le_alt > arrow_475358991le_alt > produc1501160679le_alt > $o).
1.42/0.62	thf(func_def_10, type, arrow_2098199487_below: (produc1501160679le_alt > $o) > arrow_475358991le_alt > arrow_475358991le_alt > produc1501160679le_alt > $o).
1.42/0.62	thf(func_def_11, type, arrow_1212662430ctator: ((arrow_1429601828e_indi > produc1501160679le_alt > $o) > produc1501160679le_alt > $o) > arrow_1429601828e_indi > $o).
1.42/0.62	thf(func_def_12, type, arrow_2054445623_mkbot: (produc1501160679le_alt > $o) > arrow_475358991le_alt > produc1501160679le_alt > $o).
1.42/0.62	thf(func_def_13, type, arrow_55669061_mktop: (produc1501160679le_alt > $o) > arrow_475358991le_alt > produc1501160679le_alt > $o).
1.42/0.62	thf(func_def_14, type, arrow_1706409458nimity: ((arrow_1429601828e_indi > produc1501160679le_alt > $o) > produc1501160679le_alt > $o) > $o).
1.42/0.62	thf(func_def_15, type, finite120663670_alt_o: ((arrow_1429601828e_indi > produc1501160679le_alt > $o) > $o) > nat).
1.42/0.62	thf(func_def_16, type, finite28306938_alt_o: ((produc1501160679le_alt > $o) > $o) > nat).
1.42/0.62	thf(func_def_17, type, finite_card_o: ($o > $o) > nat).
1.42/0.62	thf(func_def_18, type, finite97476818e_indi: (arrow_1429601828e_indi > $o) > nat).
1.42/0.62	thf(func_def_19, type, finite_card_nat: (nat > $o) > nat).
1.42/0.62	thf(func_def_20, type, finite1949902593t_unit: (product_unit > $o) > nat).
1.42/0.62	thf(func_def_21, type, finite537683861le_alt: (produc1501160679le_alt > $o) > nat).
1.42/0.62	thf(func_def_22, type, finite1956767223_alt_o: ((arrow_1429601828e_indi > produc1501160679le_alt > $o) > $o) > $o).
1.42/0.62	thf(func_def_23, type, finite2112685307_alt_o: ((produc1501160679le_alt > $o) > $o) > $o).
1.42/0.62	thf(func_def_24, type, finite_finite_o: ($o > $o) > $o).
1.42/0.62	thf(func_def_25, type, finite664979089e_indi: (arrow_1429601828e_indi > $o) > $o).
1.42/0.62	thf(func_def_26, type, finite_finite_nat: (nat > $o) > $o).
1.42/0.62	thf(func_def_27, type, finite449174868le_alt: (produc1501160679le_alt > $o) > $o).
1.42/0.62	thf(func_def_28, type, in_rel1252994498le_alt: (produc1501160679le_alt > $o) > arrow_475358991le_alt > arrow_475358991le_alt > $o).
1.42/0.62	thf(func_def_29, type, inj_on1284293749_alt_o: ((arrow_1429601828e_indi > produc1501160679le_alt > $o) > produc1501160679le_alt > $o) > ((arrow_1429601828e_indi > produc1501160679le_alt > $o) > $o) > $o).
1.42/0.62	thf(func_def_30, type, inj_on743426285_alt_o: ((produc1501160679le_alt > $o) > arrow_1429601828e_indi > produc1501160679le_alt > $o) > ((produc1501160679le_alt > $o) > $o) > $o).
1.42/0.62	thf(func_def_31, type, inj_on1877294875e_indi: ((produc1501160679le_alt > $o) > arrow_1429601828e_indi) > ((produc1501160679le_alt > $o) > $o) > $o).
1.42/0.62	thf(func_def_32, type, inj_on867909093le_alt: ($o > produc1501160679le_alt) > ($o > $o) > $o).
1.42/0.62	thf(func_def_33, type, inj_on1190919077_alt_o: (arrow_1429601828e_indi > produc1501160679le_alt > $o) > (arrow_1429601828e_indi > $o) > $o).
1.42/0.62	thf(func_def_34, type, inj_on978774663di_nat: (arrow_1429601828e_indi > nat) > (arrow_1429601828e_indi > $o) > $o).
1.42/0.62	thf(func_def_35, type, inj_on_nat_nat: (nat > nat) > (nat > $o) > $o).
1.42/0.62	thf(func_def_36, type, inj_on1911943593_alt_o: (produc1501160679le_alt > $o) > (produc1501160679le_alt > $o) > $o).
1.42/0.62	thf(func_def_37, type, pi_Arr195212324lt_o_o: (((arrow_1429601828e_indi > produc1501160679le_alt > $o) > produc1501160679le_alt > $o) > $o) > (((arrow_1429601828e_indi > produc1501160679le_alt > $o) > produc1501160679le_alt > $o) > $o > $o) > (((arrow_1429601828e_indi > produc1501160679le_alt > $o) > produc1501160679le_alt > $o) > $o) > $o).
1.42/0.62	thf(func_def_38, type, pi_Arr338314351e_indi: (((arrow_1429601828e_indi > produc1501160679le_alt > $o) > produc1501160679le_alt > $o) > $o) > (((arrow_1429601828e_indi > produc1501160679le_alt > $o) > produc1501160679le_alt > $o) > arrow_1429601828e_indi > $o) > (((arrow_1429601828e_indi > produc1501160679le_alt > $o) > produc1501160679le_alt > $o) > arrow_1429601828e_indi) > $o).
1.42/0.62	thf(func_def_39, type, pi_Arr830584606t_unit: (((arrow_1429601828e_indi > produc1501160679le_alt > $o) > produc1501160679le_alt > $o) > $o) > (((arrow_1429601828e_indi > produc1501160679le_alt > $o) > produc1501160679le_alt > $o) > product_unit > $o) > (((arrow_1429601828e_indi > produc1501160679le_alt > $o) > produc1501160679le_alt > $o) > product_unit) > $o).
1.42/0.62	thf(func_def_40, type, pi_Arr1304755663_alt_o: ((arrow_1429601828e_indi > produc1501160679le_alt > $o) > $o) > ((arrow_1429601828e_indi > produc1501160679le_alt > $o) > (produc1501160679le_alt > $o) > $o) > ((arrow_1429601828e_indi > produc1501160679le_alt > $o) > produc1501160679le_alt > $o) > $o).
1.42/0.62	thf(func_def_41, type, pi_Arr952516694lt_o_o: ((arrow_1429601828e_indi > produc1501160679le_alt > $o) > $o) > ((arrow_1429601828e_indi > produc1501160679le_alt > $o) > $o > $o) > ((arrow_1429601828e_indi > produc1501160679le_alt > $o) > $o) > $o).
1.42/0.62	thf(func_def_42, type, pi_Arr1232280765e_indi: ((arrow_1429601828e_indi > produc1501160679le_alt > $o) > $o) > ((arrow_1429601828e_indi > produc1501160679le_alt > $o) > arrow_1429601828e_indi > $o) > ((arrow_1429601828e_indi > produc1501160679le_alt > $o) > arrow_1429601828e_indi) > $o).
1.42/0.62	thf(func_def_43, type, pi_Arr1963174508t_unit: ((arrow_1429601828e_indi > produc1501160679le_alt > $o) > $o) > ((arrow_1429601828e_indi > produc1501160679le_alt > $o) > product_unit > $o) > ((arrow_1429601828e_indi > produc1501160679le_alt > $o) > product_unit) > $o).
1.42/0.62	thf(func_def_44, type, pi_Pro763888199_alt_o: ((produc1501160679le_alt > $o) > $o) > ((produc1501160679le_alt > $o) > (arrow_1429601828e_indi > produc1501160679le_alt > $o) > $o) > ((produc1501160679le_alt > $o) > arrow_1429601828e_indi > produc1501160679le_alt > $o) > $o).
1.42/0.62	thf(func_def_45, type, pi_Pro422690258lt_o_o: ((produc1501160679le_alt > $o) > $o) > ((produc1501160679le_alt > $o) > $o > $o) > ((produc1501160679le_alt > $o) > $o) > $o).
1.42/0.62	thf(func_def_46, type, pi_Pro468373057e_indi: ((produc1501160679le_alt > $o) > $o) > ((produc1501160679le_alt > $o) > arrow_1429601828e_indi > $o) > ((produc1501160679le_alt > $o) > arrow_1429601828e_indi) > $o).
1.42/0.62	thf(func_def_47, type, pi_Pro1306850800t_unit: ((produc1501160679le_alt > $o) > $o) > ((produc1501160679le_alt > $o) > product_unit > $o) > ((produc1501160679le_alt > $o) > product_unit) > $o).
1.42/0.62	thf(func_def_48, type, pi_o_A1186128886_alt_o: ($o > $o) > ($o > ((arrow_1429601828e_indi > produc1501160679le_alt > $o) > produc1501160679le_alt > $o) > $o) > ($o > (arrow_1429601828e_indi > produc1501160679le_alt > $o) > produc1501160679le_alt > $o) > $o).
1.42/0.62	thf(func_def_49, type, pi_o_A1182933120_alt_o: ($o > $o) > ($o > (arrow_1429601828e_indi > produc1501160679le_alt > $o) > $o) > ($o > arrow_1429601828e_indi > produc1501160679le_alt > $o) > $o).
1.42/0.62	thf(func_def_50, type, pi_o_P553196292_alt_o: ($o > $o) > ($o > (produc1501160679le_alt > $o) > $o) > ($o > produc1501160679le_alt > $o) > $o).
1.42/0.62	thf(func_def_51, type, pi_o_nat: ($o > $o) > ($o > nat > $o) > ($o > nat) > $o).
1.42/0.62	thf(func_def_52, type, pi_o_P657324555le_alt: ($o > $o) > ($o > produc1501160679le_alt > $o) > ($o > produc1501160679le_alt) > $o).
1.42/0.62	thf(func_def_53, type, pi_Arr1564509167_alt_o: (arrow_1429601828e_indi > $o) > (arrow_1429601828e_indi > ((arrow_1429601828e_indi > produc1501160679le_alt > $o) > produc1501160679le_alt > $o) > $o) > (arrow_1429601828e_indi > (arrow_1429601828e_indi > produc1501160679le_alt > $o) > produc1501160679le_alt > $o) > $o).
1.42/0.62	thf(func_def_54, type, pi_Arr1060328391_alt_o: (arrow_1429601828e_indi > $o) > (arrow_1429601828e_indi > (arrow_1429601828e_indi > produc1501160679le_alt > $o) > $o) > (arrow_1429601828e_indi > arrow_1429601828e_indi > produc1501160679le_alt > $o) > $o).
1.42/0.62	thf(func_def_55, type, pi_Arr1929480907_alt_o: (arrow_1429601828e_indi > $o) > (arrow_1429601828e_indi > (produc1501160679le_alt > $o) > $o) > (arrow_1429601828e_indi > produc1501160679le_alt > $o) > $o).
1.42/0.62	thf(func_def_56, type, pi_Arr251692973di_nat: (arrow_1429601828e_indi > $o) > (arrow_1429601828e_indi > nat > $o) > (arrow_1429601828e_indi > nat) > $o).
1.42/0.62	thf(func_def_57, type, pi_Arr329216900le_alt: (arrow_1429601828e_indi > $o) > (arrow_1429601828e_indi > produc1501160679le_alt > $o) > (arrow_1429601828e_indi > produc1501160679le_alt) > $o).
1.42/0.62	thf(func_def_58, type, pi_nat_o: (nat > $o) > (nat > $o > $o) > (nat > $o) > $o).
1.42/0.62	thf(func_def_59, type, pi_nat1219304995e_indi: (nat > $o) > (nat > arrow_1429601828e_indi > $o) > (nat > arrow_1429601828e_indi) > $o).
1.42/0.62	thf(func_def_60, type, pi_nat_nat: (nat > $o) > (nat > nat > $o) > (nat > nat) > $o).
1.42/0.62	thf(func_def_61, type, pi_nat_Product_unit: (nat > $o) > (nat > product_unit > $o) > (nat > product_unit) > $o).
1.42/0.62	thf(func_def_62, type, pi_Pro1782982558_alt_o: (product_unit > $o) > (product_unit > ((arrow_1429601828e_indi > produc1501160679le_alt > $o) > produc1501160679le_alt > $o) > $o) > (product_unit > (arrow_1429601828e_indi > produc1501160679le_alt > $o) > produc1501160679le_alt > $o) > $o).
1.42/0.62	thf(func_def_63, type, pi_Pro1662176984_alt_o: (product_unit > $o) > (product_unit > (arrow_1429601828e_indi > produc1501160679le_alt > $o) > $o) > (product_unit > arrow_1429601828e_indi > produc1501160679le_alt > $o) > $o).
1.42/0.62	thf(func_def_64, type, pi_Pro1312660828_alt_o: (product_unit > $o) > (product_unit > (produc1501160679le_alt > $o) > $o) > (product_unit > produc1501160679le_alt > $o) > $o).
1.42/0.62	thf(func_def_65, type, pi_Product_unit_nat: (product_unit > $o) > (product_unit > nat > $o) > (product_unit > nat) > $o).
1.42/0.62	thf(func_def_66, type, pi_Pro701847987le_alt: (product_unit > $o) > (product_unit > produc1501160679le_alt > $o) > (product_unit > produc1501160679le_alt) > $o).
1.42/0.62	thf(func_def_67, type, pi_Pro1701359055_alt_o: (produc1501160679le_alt > $o) > (produc1501160679le_alt > $o > $o) > (produc1501160679le_alt > $o) > $o).
1.42/0.62	thf(func_def_68, type, pi_Pro1767455108e_indi: (produc1501160679le_alt > $o) > (produc1501160679le_alt > arrow_1429601828e_indi > $o) > (produc1501160679le_alt > arrow_1429601828e_indi) > $o).
1.42/0.62	thf(func_def_69, type, pi_Pro1475896499t_unit: (produc1501160679le_alt > $o) > (produc1501160679le_alt > product_unit > $o) > (produc1501160679le_alt > product_unit) > $o).
1.42/0.62	thf(func_def_70, type, one_one_nat: nat).
1.42/0.62	thf(func_def_71, type, plus_plus_nat: nat > nat > nat).
1.42/0.62	thf(func_def_72, type, zero_zero_nat: nat).
1.42/0.62	thf(func_def_73, type, hilber598459244di_nat: (arrow_1429601828e_indi > $o) > (arrow_1429601828e_indi > nat) > nat > arrow_1429601828e_indi).
1.42/0.62	thf(func_def_74, type, hilber195283148at_nat: (nat > $o) > (nat > nat) > nat > nat).
1.42/0.62	thf(func_def_75, type, if_Pro1561232536_alt_o: $o > (produc1501160679le_alt > $o) > (produc1501160679le_alt > $o) > produc1501160679le_alt > $o).
1.42/0.62	thf(func_def_76, type, suc: nat > nat).
1.42/0.62	thf(func_def_77, type, ord_le1859604819lt_o_o: (((arrow_1429601828e_indi > produc1501160679le_alt > $o) > produc1501160679le_alt > $o) > $o) > (((arrow_1429601828e_indi > produc1501160679le_alt > $o) > produc1501160679le_alt > $o) > $o) > $o).
1.42/0.62	thf(func_def_78, type, ord_le157835011lt_o_o: ((arrow_1429601828e_indi > produc1501160679le_alt > $o) > $o) > ((arrow_1429601828e_indi > produc1501160679le_alt > $o) > $o) > $o).
1.42/0.62	thf(func_def_79, type, ord_le910298367lt_o_o: ((produc1501160679le_alt > $o) > $o) > ((produc1501160679le_alt > $o) > $o) > $o).
1.42/0.62	thf(func_def_80, type, ord_less_o_o: ($o > $o) > ($o > $o) > $o).
1.42/0.62	thf(func_def_81, type, ord_le777687553indi_o: (arrow_1429601828e_indi > $o) > (arrow_1429601828e_indi > $o) > $o).
1.42/0.62	thf(func_def_82, type, ord_less_nat_o: (nat > $o) > (nat > $o) > $o).
1.42/0.62	thf(func_def_83, type, ord_le232288914unit_o: (product_unit > $o) > (product_unit > $o) > $o).
1.42/0.62	thf(func_def_84, type, ord_le988258430_alt_o: (produc1501160679le_alt > $o) > (produc1501160679le_alt > $o) > $o).
1.42/0.62	thf(func_def_85, type, ord_less_o: $o > $o > $o).
1.42/0.62	thf(func_def_86, type, ord_less_nat: nat > nat > $o).
1.42/0.62	thf(func_def_87, type, ord_le134800455lt_o_o: (((arrow_1429601828e_indi > produc1501160679le_alt > $o) > produc1501160679le_alt > $o) > $o) > (((arrow_1429601828e_indi > produc1501160679le_alt > $o) > produc1501160679le_alt > $o) > $o) > $o).
1.42/0.62	thf(func_def_88, type, ord_le1992928527lt_o_o: ((arrow_1429601828e_indi > produc1501160679le_alt > $o) > $o) > ((arrow_1429601828e_indi > produc1501160679le_alt > $o) > $o) > $o).
1.42/0.62	thf(func_def_89, type, ord_le1063113995lt_o_o: ((produc1501160679le_alt > $o) > $o) > ((produc1501160679le_alt > $o) > $o) > $o).
1.42/0.62	thf(func_def_90, type, ord_less_eq_o_o: ($o > $o) > ($o > $o) > $o).
1.42/0.62	thf(func_def_91, type, ord_le2080035663_alt_o: (arrow_475358991le_alt > arrow_475358991le_alt > $o) > (arrow_475358991le_alt > arrow_475358991le_alt > $o) > $o).
1.42/0.62	thf(func_def_92, type, ord_le1799070453indi_o: (arrow_1429601828e_indi > $o) > (arrow_1429601828e_indi > $o) > $o).
1.42/0.62	thf(func_def_93, type, ord_less_eq_nat_o: (nat > $o) > (nat > $o) > $o).
1.42/0.62	thf(func_def_94, type, ord_le1511552390unit_o: (product_unit > $o) > (product_unit > $o) > $o).
1.42/0.62	thf(func_def_95, type, ord_le97612146_alt_o: (produc1501160679le_alt > $o) > (produc1501160679le_alt > $o) > $o).
1.42/0.62	thf(func_def_96, type, ord_less_eq_o: $o > $o > $o).
1.42/0.62	thf(func_def_97, type, ord_less_eq_nat: nat > nat > $o).
1.42/0.62	thf(func_def_98, type, top_to1969627639lt_o_o: ((arrow_1429601828e_indi > produc1501160679le_alt > $o) > produc1501160679le_alt > $o) > $o).
1.42/0.62	thf(func_def_99, type, top_to2122763103lt_o_o: (arrow_1429601828e_indi > produc1501160679le_alt > $o) > $o).
1.42/0.62	thf(func_def_100, type, top_to1842727771lt_o_o: (produc1501160679le_alt > $o) > $o).
1.42/0.62	thf(func_def_101, type, top_top_o_o: $o > $o).
1.42/0.62	thf(func_def_102, type, top_to988227749indi_o: arrow_1429601828e_indi > $o).
1.42/0.62	thf(func_def_103, type, top_top_nat_o: nat > $o).
1.42/0.62	thf(func_def_104, type, top_to1984820022unit_o: product_unit > $o).
1.42/0.62	thf(func_def_105, type, top_to1841428258_alt_o: produc1501160679le_alt > $o).
1.42/0.62	thf(func_def_107, type, produc1347929815le_alt: arrow_475358991le_alt > arrow_475358991le_alt > produc1501160679le_alt).
1.42/0.62	thf(func_def_108, type, ord_at4362885an_nat: nat > nat > nat > $o).
1.42/0.62	thf(func_def_109, type, collec2009291517_alt_o: (((arrow_1429601828e_indi > produc1501160679le_alt > $o) > produc1501160679le_alt > $o) > $o) > ((arrow_1429601828e_indi > produc1501160679le_alt > $o) > produc1501160679le_alt > $o) > $o).
1.42/0.62	thf(func_def_110, type, collec682858041_alt_o: ((arrow_1429601828e_indi > produc1501160679le_alt > $o) > $o) > (arrow_1429601828e_indi > produc1501160679le_alt > $o) > $o).
1.42/0.62	thf(func_def_111, type, collec94295101_alt_o: ((produc1501160679le_alt > $o) > $o) > (produc1501160679le_alt > $o) > $o).
1.42/0.62	thf(func_def_112, type, collec22405327e_indi: (arrow_1429601828e_indi > $o) > arrow_1429601828e_indi > $o).
1.42/0.62	thf(func_def_113, type, collect_nat: (nat > $o) > nat > $o).
1.42/0.62	thf(func_def_114, type, collect_Product_unit: (product_unit > $o) > product_unit > $o).
1.42/0.62	thf(func_def_115, type, collec869865362le_alt: (produc1501160679le_alt > $o) > produc1501160679le_alt > $o).
1.42/0.62	thf(func_def_116, type, image_484224243di_nat: (arrow_1429601828e_indi > nat) > (arrow_1429601828e_indi > $o) > nat > $o).
1.42/0.62	thf(func_def_117, type, member1823529808lt_o_o: (((arrow_1429601828e_indi > produc1501160679le_alt > $o) > produc1501160679le_alt > $o) > $o) > ((((arrow_1429601828e_indi > produc1501160679le_alt > $o) > produc1501160679le_alt > $o) > $o) > $o) > $o).
1.42/0.62	thf(func_def_118, type, member1452482393e_indi: (((arrow_1429601828e_indi > produc1501160679le_alt > $o) > produc1501160679le_alt > $o) > arrow_1429601828e_indi) > ((((arrow_1429601828e_indi > produc1501160679le_alt > $o) > produc1501160679le_alt > $o) > arrow_1429601828e_indi) > $o) > $o).
1.42/0.62	thf(func_def_119, type, member1924666376t_unit: (((arrow_1429601828e_indi > produc1501160679le_alt > $o) > produc1501160679le_alt > $o) > product_unit) > ((((arrow_1429601828e_indi > produc1501160679le_alt > $o) > produc1501160679le_alt > $o) > product_unit) > $o) > $o).
1.42/0.62	thf(func_def_120, type, member616898751_alt_o: ((arrow_1429601828e_indi > produc1501160679le_alt > $o) > produc1501160679le_alt > $o) > (((arrow_1429601828e_indi > produc1501160679le_alt > $o) > produc1501160679le_alt > $o) > $o) > $o).
1.42/0.62	thf(func_def_121, type, member939334982lt_o_o: ((arrow_1429601828e_indi > produc1501160679le_alt > $o) > $o) > (((arrow_1429601828e_indi > produc1501160679le_alt > $o) > $o) > $o) > $o).
1.42/0.62	thf(func_def_122, type, member44294883e_indi: ((arrow_1429601828e_indi > produc1501160679le_alt > $o) > arrow_1429601828e_indi) > (((arrow_1429601828e_indi > produc1501160679le_alt > $o) > arrow_1429601828e_indi) > $o) > $o).
1.42/0.62	thf(func_def_123, type, member843528338t_unit: ((arrow_1429601828e_indi > produc1501160679le_alt > $o) > product_unit) > (((arrow_1429601828e_indi > produc1501160679le_alt > $o) > product_unit) > $o) > $o).
1.42/0.62	thf(func_def_124, type, member530241719_alt_o: ((produc1501160679le_alt > $o) > arrow_1429601828e_indi > produc1501160679le_alt > $o) > (((produc1501160679le_alt > $o) > arrow_1429601828e_indi > produc1501160679le_alt > $o) > $o) > $o).
1.42/0.62	thf(func_def_125, type, member1961363906lt_o_o: ((produc1501160679le_alt > $o) > $o) > (((produc1501160679le_alt > $o) > $o) > $o) > $o).
1.42/0.62	thf(func_def_126, type, member304866663e_indi: ((produc1501160679le_alt > $o) > arrow_1429601828e_indi) > (((produc1501160679le_alt > $o) > arrow_1429601828e_indi) > $o) > $o).
1.42/0.62	thf(func_def_127, type, member221730070t_unit: ((produc1501160679le_alt > $o) > product_unit) > (((produc1501160679le_alt > $o) > product_unit) > $o) > $o).
1.42/0.62	thf(func_def_128, type, member1957863580_alt_o: ($o > (arrow_1429601828e_indi > produc1501160679le_alt > $o) > produc1501160679le_alt > $o) > (($o > (arrow_1429601828e_indi > produc1501160679le_alt > $o) > produc1501160679le_alt > $o) > $o) > $o).
1.42/0.62	thf(func_def_129, type, member1394214384_alt_o: ($o > arrow_1429601828e_indi > produc1501160679le_alt > $o) > (($o > arrow_1429601828e_indi > produc1501160679le_alt > $o) > $o) > $o).
1.42/0.62	thf(func_def_130, type, member1862122484_alt_o: ($o > produc1501160679le_alt > $o) > (($o > produc1501160679le_alt > $o) > $o) > $o).
1.42/0.62	thf(func_def_131, type, member_o_nat: ($o > nat) > (($o > nat) > $o) > $o).
1.42/0.62	thf(func_def_132, type, member492167345le_alt: ($o > produc1501160679le_alt) > (($o > produc1501160679le_alt) > $o) > $o).
1.42/0.62	thf(func_def_133, type, member811956313_alt_o: (arrow_1429601828e_indi > (arrow_1429601828e_indi > produc1501160679le_alt > $o) > produc1501160679le_alt > $o) > ((arrow_1429601828e_indi > (arrow_1429601828e_indi > produc1501160679le_alt > $o) > produc1501160679le_alt > $o) > $o) > $o).
1.42/0.62	thf(func_def_134, type, member1234151027_alt_o: (arrow_1429601828e_indi > arrow_1429601828e_indi > produc1501160679le_alt > $o) > ((arrow_1429601828e_indi > arrow_1429601828e_indi > produc1501160679le_alt > $o) > $o) > $o).
1.42/0.62	thf(func_def_135, type, member526088951_alt_o: (arrow_1429601828e_indi > produc1501160679le_alt > $o) > ((arrow_1429601828e_indi > produc1501160679le_alt > $o) > $o) > $o).
1.42/0.62	thf(func_def_136, type, member1315464153di_nat: (arrow_1429601828e_indi > nat) > ((arrow_1429601828e_indi > nat) > $o) > $o).
1.42/0.62	thf(func_def_137, type, member351225838le_alt: (arrow_1429601828e_indi > produc1501160679le_alt) > ((arrow_1429601828e_indi > produc1501160679le_alt) > $o) > $o).
1.42/0.62	thf(func_def_138, type, member_nat_o: (nat > $o) > ((nat > $o) > $o) > $o).
1.42/0.62	thf(func_def_139, type, member1391860553e_indi: (nat > arrow_1429601828e_indi) > ((nat > arrow_1429601828e_indi) > $o) > $o).
1.42/0.62	thf(func_def_140, type, member_nat_nat: (nat > nat) > ((nat > nat) > $o) > $o).
1.42/0.62	thf(func_def_141, type, member616671224t_unit: (nat > product_unit) > ((nat > product_unit) > $o) > $o).
1.42/0.62	thf(func_def_142, type, member1536989448_alt_o: (product_unit > (arrow_1429601828e_indi > produc1501160679le_alt > $o) > produc1501160679le_alt > $o) > ((product_unit > (arrow_1429601828e_indi > produc1501160679le_alt > $o) > produc1501160679le_alt > $o) > $o) > $o).
1.42/0.62	thf(func_def_143, type, member283501700_alt_o: (product_unit > arrow_1429601828e_indi > produc1501160679le_alt > $o) > ((product_unit > arrow_1429601828e_indi > produc1501160679le_alt > $o) > $o) > $o).
1.42/0.62	thf(func_def_144, type, member1661784200_alt_o: (product_unit > produc1501160679le_alt > $o) > ((product_unit > produc1501160679le_alt > $o) > $o) > $o).
1.42/0.62	thf(func_def_145, type, member1827227242it_nat: (product_unit > nat) > ((product_unit > nat) > $o) > $o).
1.42/0.62	thf(func_def_146, type, member495332125le_alt: (product_unit > produc1501160679le_alt) > ((product_unit > produc1501160679le_alt) > $o) > $o).
1.42/0.62	thf(func_def_147, type, member377231867_alt_o: (produc1501160679le_alt > $o) > ((produc1501160679le_alt > $o) > $o) > $o).
1.42/0.62	thf(func_def_148, type, member1640632174e_indi: (produc1501160679le_alt > arrow_1429601828e_indi) > ((produc1501160679le_alt > arrow_1429601828e_indi) > $o) > $o).
1.42/0.62	thf(func_def_149, type, member593902749t_unit: (produc1501160679le_alt > product_unit) > ((produc1501160679le_alt > product_unit) > $o) > $o).
1.42/0.62	thf(func_def_150, type, member_o: $o > ($o > $o) > $o).
1.42/0.62	thf(func_def_151, type, member2052026769e_indi: arrow_1429601828e_indi > (arrow_1429601828e_indi > $o) > $o).
1.42/0.62	thf(func_def_152, type, member_nat: nat > (nat > $o) > $o).
1.42/0.62	thf(func_def_153, type, member_Product_unit: product_unit > (product_unit > $o) > $o).
1.42/0.62	thf(func_def_154, type, member214075476le_alt: produc1501160679le_alt > (produc1501160679le_alt > $o) > $o).
1.42/0.62	thf(func_def_155, type, f: (arrow_1429601828e_indi > produc1501160679le_alt > $o) > produc1501160679le_alt > $o).
1.42/0.62	thf(func_def_156, type, lab: produc1501160679le_alt > $o).
1.42/0.62	thf(func_def_157, type, lba: produc1501160679le_alt > $o).
1.42/0.62	thf(func_def_158, type, p: arrow_1429601828e_indi > produc1501160679le_alt > $o).
1.42/0.62	thf(func_def_159, type, a: arrow_475358991le_alt).
1.42/0.62	thf(func_def_160, type, b: arrow_475358991le_alt).
1.42/0.62	thf(func_def_161, type, c: arrow_475358991le_alt).
1.42/0.62	thf(func_def_162, type, d: arrow_475358991le_alt).
1.42/0.62	thf(func_def_163, type, e: arrow_475358991le_alt).
1.42/0.62	thf(func_def_164, type, h: arrow_1429601828e_indi > nat).
1.42/0.62	thf(func_def_165, type, n: nat).
1.42/0.62	thf(func_def_174, type, sP0: arrow_1429601828e_indi > $o).
1.42/0.62	thf(func_def_175, type, sP1: arrow_475358991le_alt > arrow_475358991le_alt > (produc1501160679le_alt > $o) > arrow_475358991le_alt > arrow_475358991le_alt > $o).
1.42/0.62	thf(func_def_176, type, sP2: arrow_1429601828e_indi > $o).
1.42/0.62	thf(func_def_177, type, sP3: arrow_1429601828e_indi > $o).
1.42/0.62	thf(func_def_178, type, sP4: (produc1501160679le_alt > $o) > arrow_475358991le_alt > arrow_475358991le_alt > arrow_475358991le_alt > arrow_475358991le_alt > $o).
1.42/0.62	thf(func_def_179, type, sP5: arrow_1429601828e_indi > $o).
1.42/0.62	thf(func_def_180, type, sP6: arrow_1429601828e_indi > $o).
1.42/0.62	thf(func_def_181, type, sK7: produc1501160679le_alt > $o).
1.42/0.62	thf(func_def_182, type, sK8: (arrow_1429601828e_indi > produc1501160679le_alt > $o) > arrow_475358991le_alt > arrow_475358991le_alt > arrow_475358991le_alt > (arrow_1429601828e_indi > produc1501160679le_alt > $o) > arrow_475358991le_alt > arrow_1429601828e_indi).
1.42/0.62	thf(func_def_183, type, sK9: (arrow_1429601828e_indi > produc1501160679le_alt > $o) > (arrow_1429601828e_indi > produc1501160679le_alt > $o) > arrow_475358991le_alt > arrow_475358991le_alt > arrow_1429601828e_indi).
1.42/0.62	thf(func_def_184, type, sK10: nat).
1.42/0.62	thf(func_def_185, type, sK11: (arrow_1429601828e_indi > produc1501160679le_alt > $o) > arrow_475358991le_alt > arrow_475358991le_alt > arrow_475358991le_alt > arrow_475358991le_alt > (arrow_1429601828e_indi > produc1501160679le_alt > $o) > arrow_1429601828e_indi).
1.42/0.62	thf(func_def_186, type, sK12: produc1501160679le_alt > $o).
1.42/0.62	thf(func_def_187, type, sK13: arrow_1429601828e_indi > ((arrow_1429601828e_indi > produc1501160679le_alt > $o) > produc1501160679le_alt > $o) > arrow_1429601828e_indi > produc1501160679le_alt > $o).
1.42/0.62	thf(func_def_188, type, sK14: arrow_1429601828e_indi > ((arrow_1429601828e_indi > produc1501160679le_alt > $o) > produc1501160679le_alt > $o) > arrow_475358991le_alt).
1.42/0.62	thf(func_def_189, type, sK15: arrow_1429601828e_indi > ((arrow_1429601828e_indi > produc1501160679le_alt > $o) > produc1501160679le_alt > $o) > arrow_475358991le_alt).
1.42/0.62	thf(func_def_190, type, sK16: (produc1501160679le_alt > $o) > (produc1501160679le_alt > $o) > arrow_475358991le_alt).
1.42/0.62	thf(func_def_191, type, sK17: (produc1501160679le_alt > $o) > (produc1501160679le_alt > $o) > arrow_475358991le_alt).
1.42/0.62	thf(func_def_192, type, sK18: arrow_475358991le_alt > (arrow_1429601828e_indi > produc1501160679le_alt > $o) > arrow_475358991le_alt > arrow_475358991le_alt > (arrow_1429601828e_indi > produc1501160679le_alt > $o) > arrow_1429601828e_indi).
1.42/0.62	thf(func_def_193, type, sK19: (produc1501160679le_alt > $o) > arrow_475358991le_alt).
1.42/0.62	thf(func_def_194, type, sK20: (produc1501160679le_alt > $o) > arrow_475358991le_alt).
1.42/0.62	thf(func_def_195, type, sK21: arrow_475358991le_alt > arrow_475358991le_alt > arrow_475358991le_alt > (arrow_1429601828e_indi > produc1501160679le_alt > $o) > arrow_475358991le_alt > (arrow_1429601828e_indi > produc1501160679le_alt > $o) > arrow_1429601828e_indi).
1.42/0.62	thf(func_def_196, type, sK22: ((arrow_1429601828e_indi > produc1501160679le_alt > $o) > produc1501160679le_alt > $o) > arrow_1429601828e_indi > produc1501160679le_alt > $o).
1.42/0.62	thf(func_def_197, type, sK23: ((arrow_1429601828e_indi > produc1501160679le_alt > $o) > produc1501160679le_alt > $o) > arrow_475358991le_alt).
1.42/0.62	thf(func_def_198, type, sK24: ((arrow_1429601828e_indi > produc1501160679le_alt > $o) > produc1501160679le_alt > $o) > arrow_475358991le_alt).
1.42/0.62	thf(func_def_199, type, sK25: arrow_475358991le_alt > arrow_475358991le_alt > (arrow_1429601828e_indi > produc1501160679le_alt > $o) > arrow_1429601828e_indi).
1.42/0.62	thf(func_def_200, type, sK26: arrow_475358991le_alt > arrow_475358991le_alt > (arrow_1429601828e_indi > produc1501160679le_alt > $o) > (arrow_1429601828e_indi > produc1501160679le_alt > $o) > arrow_1429601828e_indi).
1.42/0.62	thf(func_def_201, type, sK27: ((arrow_1429601828e_indi > produc1501160679le_alt > $o) > produc1501160679le_alt > $o) > arrow_1429601828e_indi > produc1501160679le_alt > $o).
1.42/0.62	thf(func_def_202, type, sK28: ((arrow_1429601828e_indi > produc1501160679le_alt > $o) > produc1501160679le_alt > $o) > arrow_1429601828e_indi > produc1501160679le_alt > $o).
1.42/0.62	thf(func_def_203, type, sK29: ((arrow_1429601828e_indi > produc1501160679le_alt > $o) > produc1501160679le_alt > $o) > arrow_475358991le_alt).
1.42/0.62	thf(func_def_204, type, sK30: ((arrow_1429601828e_indi > produc1501160679le_alt > $o) > produc1501160679le_alt > $o) > arrow_475358991le_alt).
1.42/0.62	thf(func_def_205, type, sK31: nat).
1.42/0.62	thf(func_def_206, type, sK32: arrow_475358991le_alt > arrow_475358991le_alt > produc1501160679le_alt > $o).
1.42/0.62	thf(f2478,plain,(
1.42/0.62	  $false),
1.42/0.62	  inference(avatar_sat_refutation,[],[f2444,f2457,f2477])).
1.42/0.62	thf(f2477,plain,(
1.42/0.62	  ~spl33_8),
1.42/0.62	  inference(avatar_contradiction_clause,[],[f2476])).
1.42/0.62	thf(f2476,plain,(
1.42/0.62	  $false | ~spl33_8),
1.42/0.62	  inference(trivial_inequality_removal,[],[f2475])).
1.42/0.62	thf(f2475,plain,(
1.42/0.62	  ($false = $true) | ~spl33_8),
1.42/0.62	  inference(backward_demodulation,[],[f2254,f2439])).
1.42/0.62	thf(f2439,plain,(
1.42/0.62	  ($false = (member214075476le_alt @ (produc1347929815le_alt @ c @ d) @ (f @ (^[Y0 : arrow_1429601828e_indi]: (if_Pro1561232536_alt_o @ (ord_less_nat @ (h @ Y0) @ n) @ (arrow_55669061_mktop @ (p @ Y0) @ e) @ (if_Pro1561232536_alt_o @ (n = (h @ Y0)) @ (arrow_789600939_above @ (p @ Y0) @ c @ e) @ (arrow_2054445623_mkbot @ (p @ Y0) @ e))))))) | ~spl33_8),
1.42/0.62	  inference(avatar_component_clause,[],[f2437])).
1.42/0.62	thf(f2437,plain,(
1.42/0.62	  spl33_8 <=> ($false = (member214075476le_alt @ (produc1347929815le_alt @ c @ d) @ (f @ (^[Y0 : arrow_1429601828e_indi]: (if_Pro1561232536_alt_o @ (ord_less_nat @ (h @ Y0) @ n) @ (arrow_55669061_mktop @ (p @ Y0) @ e) @ (if_Pro1561232536_alt_o @ (n = (h @ Y0)) @ (arrow_789600939_above @ (p @ Y0) @ c @ e) @ (arrow_2054445623_mkbot @ (p @ Y0) @ e)))))))),
1.42/0.62	  introduced(avatar_definition,[new_symbols(naming,[spl33_8])])).
1.42/0.62	thf(f2254,plain,(
1.42/0.62	  ($true = (member214075476le_alt @ (produc1347929815le_alt @ c @ d) @ (f @ (^[Y0 : arrow_1429601828e_indi]: (if_Pro1561232536_alt_o @ (ord_less_nat @ (h @ Y0) @ n) @ (arrow_55669061_mktop @ (p @ Y0) @ e) @ (if_Pro1561232536_alt_o @ (n = (h @ Y0)) @ (arrow_789600939_above @ (p @ Y0) @ c @ e) @ (arrow_2054445623_mkbot @ (p @ Y0) @ e)))))))),
1.42/0.62	  inference(cnf_transformation,[],[f1068])).
1.42/0.62	thf(f1068,plain,(
1.42/0.62	  ($true = (member214075476le_alt @ (produc1347929815le_alt @ c @ d) @ (f @ (^[Y0 : arrow_1429601828e_indi]: (if_Pro1561232536_alt_o @ (ord_less_nat @ (h @ Y0) @ n) @ (arrow_55669061_mktop @ (p @ Y0) @ e) @ (if_Pro1561232536_alt_o @ (n = (h @ Y0)) @ (arrow_789600939_above @ (p @ Y0) @ c @ e) @ (arrow_2054445623_mkbot @ (p @ Y0) @ e)))))))),
1.42/0.62	  inference(fool_elimination,[],[f1067])).
1.42/0.62	thf(f1067,plain,(
1.42/0.62	  (member214075476le_alt @ (produc1347929815le_alt @ c @ d) @ (f @ (^[X0 : arrow_1429601828e_indi] : (if_Pro1561232536_alt_o @ (ord_less_nat @ (h @ X0) @ n) @ (arrow_55669061_mktop @ (p @ X0) @ e) @ (if_Pro1561232536_alt_o @ (n = (h @ X0)) @ (arrow_789600939_above @ (p @ X0) @ c @ e) @ (arrow_2054445623_mkbot @ (p @ X0) @ e))))))),
1.42/0.62	  inference(rectify,[],[f7])).
1.42/0.62	thf(f7,axiom,(
1.42/0.62	  (member214075476le_alt @ (produc1347929815le_alt @ c @ d) @ (f @ (^[X5 : arrow_1429601828e_indi] : (if_Pro1561232536_alt_o @ (ord_less_nat @ (h @ X5) @ n) @ (arrow_55669061_mktop @ (p @ X5) @ e) @ (if_Pro1561232536_alt_o @ ((h @ X5) = n) @ (arrow_789600939_above @ (p @ X5) @ c @ e) @ (arrow_2054445623_mkbot @ (p @ X5) @ e))))))),
1.42/0.62	  file('/export/starexec/sandbox2/tmp/tmp.3Ycv3cJPCz/Vampire---4.8_11374',fact_13__096c_A_060_092_060_094bsub_062F_A_I_Fi_O_Aif_Ah_Ai_A_060_An_Athen_Amkto)).
1.42/0.62	thf(f2457,plain,(
1.42/0.62	  ~spl33_9),
1.42/0.62	  inference(avatar_split_clause,[],[f2223,f2441])).
1.42/0.62	thf(f2441,plain,(
1.42/0.62	  spl33_9 <=> ((member214075476le_alt @ (produc1347929815le_alt @ c @ d) @ (f @ p)) = $true)),
1.42/0.62	  introduced(avatar_definition,[new_symbols(naming,[spl33_9])])).
1.42/0.62	thf(f2223,plain,(
1.42/0.62	  ((member214075476le_alt @ (produc1347929815le_alt @ c @ d) @ (f @ p)) != $true)),
1.42/0.62	  inference(cnf_transformation,[],[f2023])).
1.42/0.62	thf(f2023,plain,(
1.42/0.62	  ((member214075476le_alt @ (produc1347929815le_alt @ c @ d) @ (f @ p)) != $true)),
1.42/0.62	  inference(flattening,[],[f1010])).
1.42/0.62	thf(f1010,plain,(
1.42/0.62	  ~((member214075476le_alt @ (produc1347929815le_alt @ c @ d) @ (f @ p)) = $true)),
1.42/0.62	  inference(fool_elimination,[],[f1009])).
1.42/0.62	thf(f1009,plain,(
1.42/0.62	  ~(member214075476le_alt @ (produc1347929815le_alt @ c @ d) @ (f @ p))),
1.42/0.62	  inference(rectify,[],[f10])).
1.42/0.62	thf(f10,negated_conjecture,(
1.42/0.62	  ~(member214075476le_alt @ (produc1347929815le_alt @ c @ d) @ (f @ p))),
1.42/0.62	  inference(negated_conjecture,[],[f9])).
1.42/0.62	thf(f9,conjecture,(
1.42/0.62	  (member214075476le_alt @ (produc1347929815le_alt @ c @ d) @ (f @ p))),
1.42/0.62	  file('/export/starexec/sandbox2/tmp/tmp.3Ycv3cJPCz/Vampire---4.8_11374',conj_0)).
1.42/0.62	thf(f2444,plain,(
1.42/0.62	  spl33_8 | spl33_9),
1.42/0.62	  inference(avatar_split_clause,[],[f2390,f2441,f2437])).
1.42/0.62	thf(f2390,plain,(
1.42/0.62	  ($false = (member214075476le_alt @ (produc1347929815le_alt @ c @ d) @ (f @ (^[Y0 : arrow_1429601828e_indi]: (if_Pro1561232536_alt_o @ (ord_less_nat @ (h @ Y0) @ n) @ (arrow_55669061_mktop @ (p @ Y0) @ e) @ (if_Pro1561232536_alt_o @ (n = (h @ Y0)) @ (arrow_789600939_above @ (p @ Y0) @ c @ e) @ (arrow_2054445623_mkbot @ (p @ Y0) @ e))))))) | ((member214075476le_alt @ (produc1347929815le_alt @ c @ d) @ (f @ p)) = $true)),
1.42/0.62	  inference(binary_proxy_clausification,[],[f2201])).
1.42/0.62	thf(f2201,plain,(
1.42/0.62	  ((member214075476le_alt @ (produc1347929815le_alt @ c @ d) @ (f @ p)) = (member214075476le_alt @ (produc1347929815le_alt @ c @ d) @ (f @ (^[Y0 : arrow_1429601828e_indi]: (if_Pro1561232536_alt_o @ (ord_less_nat @ (h @ Y0) @ n) @ (arrow_55669061_mktop @ (p @ Y0) @ e) @ (if_Pro1561232536_alt_o @ (n = (h @ Y0)) @ (arrow_789600939_above @ (p @ Y0) @ c @ e) @ (arrow_2054445623_mkbot @ (p @ Y0) @ e)))))))),
1.42/0.62	  inference(cnf_transformation,[],[f1882])).
1.42/0.62	thf(f1882,plain,(
1.42/0.62	  ((member214075476le_alt @ (produc1347929815le_alt @ c @ d) @ (f @ p)) = (member214075476le_alt @ (produc1347929815le_alt @ c @ d) @ (f @ (^[Y0 : arrow_1429601828e_indi]: (if_Pro1561232536_alt_o @ (ord_less_nat @ (h @ Y0) @ n) @ (arrow_55669061_mktop @ (p @ Y0) @ e) @ (if_Pro1561232536_alt_o @ (n = (h @ Y0)) @ (arrow_789600939_above @ (p @ Y0) @ c @ e) @ (arrow_2054445623_mkbot @ (p @ Y0) @ e)))))))),
1.42/0.62	  inference(fool_elimination,[],[f1881])).
1.42/0.62	thf(f1881,plain,(
1.42/0.62	  (member214075476le_alt @ (produc1347929815le_alt @ c @ d) @ (f @ p)) <=> (member214075476le_alt @ (produc1347929815le_alt @ c @ d) @ (f @ (^[X0 : arrow_1429601828e_indi] : (if_Pro1561232536_alt_o @ (ord_less_nat @ (h @ X0) @ n) @ (arrow_55669061_mktop @ (p @ X0) @ e) @ (if_Pro1561232536_alt_o @ (n = (h @ X0)) @ (arrow_789600939_above @ (p @ X0) @ c @ e) @ (arrow_2054445623_mkbot @ (p @ X0) @ e))))))),
1.42/0.62	  inference(rectify,[],[f477])).
1.42/0.62	thf(f477,axiom,(
1.42/0.62	  (member214075476le_alt @ (produc1347929815le_alt @ c @ d) @ (f @ p)) <=> (member214075476le_alt @ (produc1347929815le_alt @ c @ d) @ (f @ (^[X5 : arrow_1429601828e_indi] : (if_Pro1561232536_alt_o @ (ord_less_nat @ (h @ X5) @ n) @ (arrow_55669061_mktop @ (p @ X5) @ e) @ (if_Pro1561232536_alt_o @ ((h @ X5) = n) @ (arrow_789600939_above @ (p @ X5) @ c @ e) @ (arrow_2054445623_mkbot @ (p @ X5) @ e))))))),
1.42/0.62	  file('/export/starexec/sandbox2/tmp/tmp.3Ycv3cJPCz/Vampire---4.8_11374',fact_14_PW)).
1.42/0.62	% SZS output end Proof for Vampire---4
1.42/0.62	% (11495)------------------------------
1.42/0.62	% (11495)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100)
1.42/0.62	% (11495)Termination reason: Refutation
1.42/0.62	
1.42/0.62	% (11495)Memory used [KB]: 8699
1.42/0.62	% (11495)Time elapsed: 0.112 s
1.42/0.62	% (11495)Instructions burned: 219 (million)
1.42/0.62	% (11495)------------------------------
1.42/0.62	% (11495)------------------------------
1.42/0.62	% (11481)Success in time 0.193 s
1.42/0.62	% Vampire---4.8 exiting
1.42/0.62	EOF