0.10/0.12	% Problem    : theBenchmark.p : TPTP v0.0.0. Released v0.0.0.
0.10/0.12	% Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
0.13/0.33	% Computer : n023.cluster.edu
0.13/0.33	% Model    : x86_64 x86_64
0.13/0.33	% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
0.13/0.33	% Memory   : 8042.1875MB
0.13/0.33	% OS       : Linux 3.10.0-693.el7.x86_64
0.13/0.33	% CPULimit   : 300
0.13/0.33	% WCLimit    : 300
0.13/0.33	% DateTime   : Fri Jul  5 04:29:09 EDT 2024
0.13/0.34	% CPUTime    : 
0.13/0.36	This is a THF_ problem
0.13/0.36	Running vampire_ho --cores 8 --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_hol -m 12000  -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
0.13/0.39	% (15984)dis+10_1:128_hud=1:i=96:si=on:rtra=on_0 on theBenchmark for (2999ds/96Mi)
0.13/0.40	% (15985)lrs+10_1:2_cnfonf=off:hud=1:inj=on:i=36:si=on:rtra=on_0 on theBenchmark for (2999ds/36Mi)
0.13/0.40	% (15986)lrs+1002_1:128_au=on:c=on:fsr=off:piset=equals:i=34:si=on:rtra=on_0 on theBenchmark for (2999ds/34Mi)
0.13/0.40	% (15988)lrs+1002_1:1_au=on:s2a=on:s2agt=32:sgt=8:ss=axioms:i=385:si=on:rtra=on_0 on theBenchmark for (2999ds/385Mi)
0.13/0.40	% (15989)dis+1002_1:128_acc=on:er=filter:i=17:si=on:rtra=on_0 on theBenchmark for (2999ds/17Mi)
0.13/0.40	% (15990)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 theBenchmark for (2999ds/74Mi)
0.13/0.40	% (15991)dis+1004_1:1_cha=on:cs=on:fe=off:hud=1:i=4:si=on:rtra=on_0 on theBenchmark for (2999ds/4Mi)
0.13/0.40	% (15992)lrs+1002_1:14_au=on:bd=off:e2e=on:fde=unused:sac=on:sos=on:i=915:si=on:rtra=on_0 on theBenchmark for (2999ds/915Mi)
0.13/0.40	% (15991)Instruction limit reached!
0.13/0.40	% (15991)------------------------------
0.13/0.40	% (15991)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100)
0.13/0.40	% (15991)Termination reason: Unknown
0.13/0.40	% (15991)Termination phase: shuffling
0.13/0.40	
0.13/0.40	% (15991)Memory used [KB]: 1279
0.13/0.40	% (15991)Time elapsed: 0.006 s
0.13/0.40	% (15991)Instructions burned: 4 (million)
0.13/0.40	% (15991)------------------------------
0.13/0.40	% (15991)------------------------------
0.21/0.41	% (15989)Instruction limit reached!
0.21/0.41	% (15989)------------------------------
0.21/0.41	% (15989)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100)
0.21/0.41	% (15989)Termination reason: Unknown
0.21/0.41	% (15989)Termination phase: Property scanning
0.21/0.41	
0.21/0.41	% (15989)Memory used [KB]: 1407
0.21/0.41	% (15989)Time elapsed: 0.018 s
0.21/0.41	% (15989)Instructions burned: 17 (million)
0.21/0.41	% (15989)------------------------------
0.21/0.41	% (15989)------------------------------
0.21/0.43	% (15986)Instruction limit reached!
0.21/0.43	% (15986)------------------------------
0.21/0.43	% (15986)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100)
0.21/0.43	% (15986)Termination reason: Unknown
0.21/0.43	% (15986)Termination phase: Property scanning
0.21/0.43	
0.21/0.43	% (15986)Memory used [KB]: 1535
0.21/0.43	% (15986)Time elapsed: 0.032 s
0.21/0.43	% (15986)Instructions burned: 34 (million)
0.21/0.43	% (15986)------------------------------
0.21/0.43	% (15986)------------------------------
0.21/0.43	% (15984)Instruction limit reached!
0.21/0.43	% (15984)------------------------------
0.21/0.43	% (15984)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100)
0.21/0.43	% (15984)Termination reason: Unknown
0.21/0.43	% (15984)Termination phase: Property scanning
0.21/0.43	
0.21/0.43	% (15984)Memory used [KB]: 1663
0.21/0.43	% (15984)Time elapsed: 0.042 s
0.21/0.43	% (15984)Instructions burned: 97 (million)
0.21/0.43	% (15984)------------------------------
0.21/0.43	% (15984)------------------------------
0.21/0.43	% (15985)Instruction limit reached!
0.21/0.43	% (15985)------------------------------
0.21/0.43	% (15985)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100)
0.21/0.43	% (15985)Termination reason: Unknown
0.21/0.43	% (15985)Termination phase: Function definition elimination
0.21/0.43	
0.21/0.43	% (15985)Memory used [KB]: 1535
0.21/0.43	% (15985)Time elapsed: 0.034 s
0.21/0.43	% (15985)Instructions burned: 37 (million)
0.21/0.43	% (15985)------------------------------
0.21/0.43	% (15985)------------------------------
0.21/0.43	% (15993)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 theBenchmark for (2999ds/21Mi)
0.21/0.44	% (15994)lrs-3_1:1024_cbe=off:chr=on:tnu=1:i=7:si=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
0.21/0.44	% (15995)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 theBenchmark for (2999ds/1021Mi)
0.21/0.44	% (15992)Refutation not found, incomplete strategy
0.21/0.44	% (15992)------------------------------
0.21/0.44	% (15992)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100)
0.21/0.44	% (15992)Termination reason: Refutation not found, incomplete strategy
0.21/0.44	
0.21/0.44	
0.21/0.44	% (15992)Memory used [KB]: 6268
0.21/0.44	% (15992)Time elapsed: 0.050 s
0.21/0.44	% (15992)Instructions burned: 53 (million)
0.21/0.44	% (15992)------------------------------
0.21/0.44	% (15992)------------------------------
0.21/0.45	% (15993)Instruction limit reached!
0.21/0.45	% (15993)------------------------------
0.21/0.45	% (15993)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100)
0.21/0.45	% (15993)Termination reason: Unknown
0.21/0.45	% (15993)Termination phase: Property scanning
0.21/0.45	
0.21/0.45	% (15993)Memory used [KB]: 1535
0.21/0.45	% (15993)Time elapsed: 0.020 s
0.21/0.45	% (15993)Instructions burned: 22 (million)
0.21/0.45	% (15993)------------------------------
0.21/0.45	% (15993)------------------------------
0.21/0.45	% (15990)Instruction limit reached!
0.21/0.45	% (15990)------------------------------
0.21/0.45	% (15990)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100)
0.21/0.45	% (15990)Termination reason: Unknown
0.21/0.45	% (15990)Termination phase: Function definition elimination
0.21/0.45	
0.21/0.45	% (15990)Memory used [KB]: 1791
0.21/0.45	% (15990)Time elapsed: 0.053 s
0.21/0.45	% (15990)Instructions burned: 74 (million)
0.21/0.45	% (15990)------------------------------
0.21/0.45	% (15990)------------------------------
0.21/0.45	% (15994)Instruction limit reached!
0.21/0.45	% (15994)------------------------------
0.21/0.45	% (15994)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100)
0.21/0.45	% (15994)Termination reason: Unknown
0.21/0.45	% (15994)Termination phase: shuffling
0.21/0.45	
0.21/0.45	% (15994)Memory used [KB]: 1279
0.21/0.45	% (15994)Time elapsed: 0.009 s
0.21/0.45	% (15994)Instructions burned: 7 (million)
0.21/0.45	% (15994)------------------------------
0.21/0.45	% (15994)------------------------------
0.21/0.45	% (15997)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 theBenchmark for (2999ds/9Mi)
0.21/0.46	% (15996)lrs-1004_1:1_au=on:bsd=on:cbe=off:cnfonf=off:fe=axiom:fsd=on:i=71:si=on:rtra=on_0 on theBenchmark for (2999ds/71Mi)
0.21/0.46	% (15997)Instruction limit reached!
0.21/0.46	% (15997)------------------------------
0.21/0.46	% (15997)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100)
0.21/0.46	% (15997)Termination reason: Unknown
0.21/0.46	% (15997)Termination phase: shuffling
0.21/0.46	
0.21/0.46	% (15997)Memory used [KB]: 1279
0.21/0.46	% (15997)Time elapsed: 0.008 s
0.21/0.46	% (15997)Instructions burned: 9 (million)
0.21/0.46	% (15997)------------------------------
0.21/0.46	% (15997)------------------------------
0.21/0.46	% (15998)lrs+1010_1:1_au=on:s2a=on:sd=1:sgt=50:ss=axioms:i=1044:si=on:rtra=on_0 on theBenchmark for (2999ds/1044Mi)
0.21/0.46	% (15999)dis+10_1:1_ixr=off:plsq=on:plsqc=1:plsqr=32,1:s2a=on:i=128:si=on:rtra=on_0 on theBenchmark for (2999ds/128Mi)
0.21/0.47	% (16000)lrs+21_1:1_cond=on:e2e=on:i=61:si=on:rtra=on_0 on theBenchmark for (2999ds/61Mi)
0.21/0.47	% (16001)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=14:si=on:rtra=on_0 on theBenchmark for (2999ds/14Mi)
0.21/0.48	% (16001)Instruction limit reached!
0.21/0.48	% (16001)------------------------------
0.21/0.48	% (16001)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100)
0.21/0.48	% (16001)Termination reason: Unknown
0.21/0.48	% (16001)Termination phase: shuffling
0.21/0.48	
0.21/0.48	% (16001)Memory used [KB]: 1407
0.21/0.48	% (16001)Time elapsed: 0.010 s
0.21/0.48	% (16001)Instructions burned: 15 (million)
0.21/0.48	% (16001)------------------------------
0.21/0.48	% (16001)------------------------------
0.21/0.48	% (16002)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 theBenchmark for (2999ds/2Mi)
0.21/0.48	% (16002)Instruction limit reached!
0.21/0.48	% (16002)------------------------------
0.21/0.48	% (16002)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100)
0.21/0.48	% (16002)Termination reason: Unknown
0.21/0.48	% (16002)Termination phase: shuffling
0.21/0.48	
0.21/0.48	% (16002)Memory used [KB]: 1151
0.21/0.48	% (16002)Time elapsed: 0.003 s
0.21/0.48	% (16002)Instructions burned: 2 (million)
0.21/0.48	% (16002)------------------------------
0.21/0.48	% (16002)------------------------------
0.21/0.48	% (15996)Instruction limit reached!
0.21/0.48	% (15996)------------------------------
0.21/0.48	% (15996)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100)
0.21/0.48	% (15996)Termination reason: Unknown
0.21/0.48	% (15996)Termination phase: Function definition elimination
0.21/0.48	
0.21/0.48	% (15996)Memory used [KB]: 1663
0.21/0.48	% (15996)Time elapsed: 0.031 s
0.21/0.48	% (15996)Instructions burned: 71 (million)
0.21/0.48	% (15996)------------------------------
0.21/0.48	% (15996)------------------------------
0.21/0.49	% (16000)Instruction limit reached!
0.21/0.49	% (16000)------------------------------
0.21/0.49	% (16000)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100)
0.21/0.49	% (16000)Termination reason: Unknown
0.21/0.49	% (16000)Termination phase: Function definition elimination
0.21/0.49	
0.21/0.49	% (16000)Memory used [KB]: 1663
0.21/0.49	% (16000)Time elapsed: 0.027 s
0.21/0.49	% (16000)Instructions burned: 61 (million)
0.21/0.49	% (16000)------------------------------
0.21/0.49	% (16000)------------------------------
0.21/0.49	% (16003)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 theBenchmark for (2998ds/1041Mi)
0.21/0.49	% (16006)lrs+10_1:1_au=on:cnfonf=off:sd=1:sgt=16:ss=axioms:i=140:si=on:rtra=on_0 on theBenchmark for (2998ds/140Mi)
0.21/0.50	% (16005)lrs+10_1:128_cnfonf=lazy_not_gen_be_off:hud=1:ins=1:i=11:si=on:rtra=on_0 on theBenchmark for (2998ds/11Mi)
0.21/0.50	% (16005)Instruction limit reached!
0.21/0.50	% (16005)------------------------------
0.21/0.50	% (16005)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100)
0.21/0.50	% (16005)Termination reason: Unknown
0.21/0.50	% (16005)Termination phase: shuffling
0.21/0.50	
0.21/0.50	% (16005)Memory used [KB]: 1407
0.21/0.50	% (16005)Time elapsed: 0.008 s
0.21/0.50	% (16005)Instructions burned: 12 (million)
0.21/0.50	% (16005)------------------------------
0.21/0.50	% (16005)------------------------------
0.21/0.51	% (16006)Refutation not found, incomplete strategy
0.21/0.51	% (16006)------------------------------
0.21/0.51	% (16006)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100)
0.21/0.51	% (16006)Termination reason: Refutation not found, incomplete strategy
0.21/0.51	
0.21/0.51	
0.21/0.51	% (16006)Memory used [KB]: 6012
0.21/0.51	% (16006)Time elapsed: 0.013 s
0.21/0.51	% (16006)Instructions burned: 34 (million)
0.21/0.51	% (16006)------------------------------
0.21/0.51	% (16006)------------------------------
0.21/0.51	% (15999)Instruction limit reached!
0.21/0.51	% (15999)------------------------------
0.21/0.51	% (15999)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100)
0.21/0.51	% (15999)Termination reason: Unknown
0.21/0.51	% (16008)lrs+1002_1:4_au=on:av=off:bsr=on:cbe=off:nm=2:i=56:si=on:rtra=on_0 on theBenchmark for (2998ds/56Mi)
0.21/0.51	% (15999)Termination phase: Property scanning
0.21/0.51	
0.21/0.51	% (15999)Memory used [KB]: 1663
0.21/0.51	% (15999)Time elapsed: 0.054 s
0.21/0.51	% (15999)Instructions burned: 128 (million)
0.21/0.51	% (15999)------------------------------
0.21/0.51	% (15999)------------------------------
0.21/0.51	% (16007)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 theBenchmark for (2998ds/26Mi)
0.21/0.52	% (16009)lrs+1002_1:1_au=on:bd=off:e2e=on:sd=2:sos=on:ss=axioms:i=275:si=on:rtra=on_0 on theBenchmark for (2998ds/275Mi)
0.21/0.53	% (16007)Instruction limit reached!
0.21/0.53	% (16007)------------------------------
0.21/0.53	% (16007)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100)
0.21/0.53	% (16007)Termination reason: Unknown
0.21/0.53	% (16007)Termination phase: Property scanning
0.21/0.53	
0.21/0.53	% (16007)Memory used [KB]: 1535
0.21/0.53	% (16007)Time elapsed: 0.015 s
0.21/0.53	% (16007)Instructions burned: 27 (million)
0.21/0.53	% (16007)------------------------------
0.21/0.53	% (16007)------------------------------
0.21/0.53	% (16008)Instruction limit reached!
0.21/0.53	% (16008)------------------------------
0.21/0.53	% (16008)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100)
0.21/0.53	% (16008)Termination reason: Unknown
0.21/0.53	% (16008)Termination phase: Function definition elimination
0.21/0.53	
0.21/0.53	% (16008)Memory used [KB]: 1663
0.21/0.53	% (16008)Time elapsed: 0.016 s
0.21/0.53	% (16008)Instructions burned: 61 (million)
0.21/0.53	% (16008)------------------------------
0.21/0.53	% (16008)------------------------------
0.21/0.54	% (16009)Refutation not found, incomplete strategy
0.21/0.54	% (16009)------------------------------
0.21/0.54	% (16009)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100)
0.21/0.54	% (16009)Termination reason: Refutation not found, incomplete strategy
0.21/0.54	
0.21/0.54	
0.21/0.54	% (16009)Memory used [KB]: 6012
0.21/0.54	% (16009)Time elapsed: 0.017 s
0.21/0.54	% (16009)Instructions burned: 29 (million)
0.21/0.54	% (16009)------------------------------
0.21/0.54	% (16009)------------------------------
0.21/0.54	% (16010)lrs+10_1:1_bet=on:cnfonf=off:fd=off:hud=5:inj=on:i=3:si=on:rtra=on_0 on theBenchmark for (2998ds/3Mi)
0.21/0.54	% (16010)Instruction limit reached!
0.21/0.54	% (16010)------------------------------
0.21/0.54	% (16010)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100)
0.21/0.54	% (16010)Termination reason: Unknown
0.21/0.54	% (16010)Termination phase: shuffling
0.21/0.54	
0.21/0.54	% (16010)Memory used [KB]: 1279
0.21/0.54	% (16010)Time elapsed: 0.002 s
0.21/0.54	% (16010)Instructions burned: 3 (million)
0.21/0.54	% (16010)------------------------------
0.21/0.54	% (16010)------------------------------
0.21/0.54	% (16011)lrs+10_1:1_cnfonf=lazy_not_be_gen:ntd=on:sp=const_min:ss=axioms:sup=off:i=19:si=on:rtra=on_0 on theBenchmark for (2998ds/19Mi)
0.21/0.55	% (16012)lrs+1010_1:128_av=off:cbe=off:cnfonf=lazy_simp:fsr=off:ntd=on:ss=axioms:st=1.5:i=44:si=on:rtra=on_0 on theBenchmark for (2998ds/44Mi)
0.21/0.55	% (16014)lrs+10_7:1_cnfonf=lazy_gen:fe=off:nwc=5.0:plsq=on:i=62:si=on:rtra=on_0 on theBenchmark for (2998ds/62Mi)
0.21/0.55	% (16011)Instruction limit reached!
0.21/0.55	% (16011)------------------------------
0.21/0.55	% (16011)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100)
0.21/0.55	% (16011)Termination reason: Unknown
0.21/0.55	% (16011)Termination phase: Property scanning
0.21/0.55	
0.21/0.55	% (16011)Memory used [KB]: 1535
0.21/0.55	% (16011)Time elapsed: 0.011 s
0.21/0.55	% (16011)Instructions burned: 19 (million)
0.21/0.55	% (16011)------------------------------
0.21/0.55	% (16011)------------------------------
0.21/0.55	% (16013)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=191:si=on:rtra=on_0 on theBenchmark for (2998ds/191Mi)
0.21/0.56	% (16014)Instruction limit reached!
0.21/0.56	% (16014)------------------------------
0.21/0.56	% (16014)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100)
0.21/0.56	% (16014)Termination reason: Unknown
0.21/0.56	% (16014)Termination phase: Function definition elimination
0.21/0.56	
0.21/0.56	% (16014)Memory used [KB]: 1663
0.21/0.56	% (16014)Time elapsed: 0.016 s
0.21/0.56	% (16014)Instructions burned: 62 (million)
0.21/0.56	% (16014)------------------------------
0.21/0.56	% (16014)------------------------------
0.21/0.57	% (16012)Instruction limit reached!
0.21/0.57	% (16012)------------------------------
0.21/0.57	% (16012)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100)
0.21/0.57	% (16012)Termination reason: Unknown
0.21/0.57	% (16012)Termination phase: Saturation
0.21/0.57	
0.21/0.57	% (16012)Memory used [KB]: 1535
0.21/0.57	% (16012)Time elapsed: 0.023 s
0.21/0.57	% (16012)Instructions burned: 44 (million)
0.21/0.57	% (16012)------------------------------
0.21/0.57	% (16012)------------------------------
0.21/0.57	% (16015)lrs+1002_1:1_au=on:cbe=off:cnfonf=conj_eager:cond=on:hi=on:i=105:si=on:rtra=on_0 on theBenchmark for (2998ds/105Mi)
0.21/0.57	% (15998)First to succeed.
1.71/0.58	% (15988)Instruction limit reached!
1.71/0.58	% (15988)------------------------------
1.71/0.58	% (15988)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100)
1.71/0.58	% (15988)Termination reason: Unknown
1.71/0.58	% (15988)Termination phase: Saturation
1.71/0.58	
1.71/0.58	% (15988)Memory used [KB]: 6396
1.71/0.58	% (15988)Time elapsed: 0.186 s
1.71/0.58	% (15988)Instructions burned: 387 (million)
1.71/0.58	% (15988)------------------------------
1.71/0.58	% (15988)------------------------------
1.71/0.58	% (15998)Refutation found. Thanks to Tanya!
1.71/0.58	% SZS status Theorem for theBenchmark
1.71/0.58	% SZS output start Proof for theBenchmark
1.71/0.58	thf(func_def_0, type, is_of: $i > ($i > $o) > $o).
1.71/0.58	thf(func_def_2, type, all_of: ($i > $o) > ($i > $o) > $o).
1.71/0.58	thf(func_def_3, type, eps: ($i > $o) > $i).
1.71/0.58	thf(func_def_4, type, in: $i > $i > $o).
1.71/0.58	thf(func_def_5, type, d_Subq: $i > $i > $o).
1.71/0.58	thf(func_def_7, type, union: $i > $i).
1.71/0.58	thf(func_def_8, type, power: $i > $i).
1.71/0.58	thf(func_def_9, type, repl: $i > ($i > $i) > $i).
1.71/0.58	thf(func_def_10, type, d_Union_closed: $i > $o).
1.71/0.58	thf(func_def_11, type, d_Power_closed: $i > $o).
1.71/0.58	thf(func_def_12, type, d_Repl_closed: $i > $o).
1.71/0.58	thf(func_def_13, type, d_ZF_closed: $i > $o).
1.71/0.58	thf(func_def_14, type, univof: $i > $i).
1.71/0.58	thf(func_def_15, type, if: $o > $i > $i > $i).
1.71/0.58	thf(func_def_16, type, nIn: $i > $i > $o).
1.71/0.58	thf(func_def_17, type, d_UPair: $i > $i > $i).
1.71/0.58	thf(func_def_18, type, d_Sing: $i > $i).
1.71/0.58	thf(func_def_19, type, binunion: $i > $i > $i).
1.71/0.58	thf(func_def_20, type, famunion: $i > ($i > $i) > $i).
1.71/0.58	thf(func_def_21, type, d_Sep: $i > ($i > $o) > $i).
1.71/0.58	thf(func_def_22, type, d_ReplSep: $i > ($i > $o) > ($i > $i) > $i).
1.71/0.58	thf(func_def_23, type, setminus: $i > $i > $i).
1.71/0.58	thf(func_def_24, type, d_In_rec_G: ($i > ($i > $i) > $i) > $i > $i > $o).
1.71/0.58	thf(func_def_25, type, d_In_rec: ($i > ($i > $i) > $i) > $i > $i).
1.71/0.58	thf(func_def_26, type, ordsucc: $i > $i).
1.71/0.58	thf(func_def_27, type, nat_p: $i > $o).
1.71/0.58	thf(func_def_29, type, d_Inj1: $i > $i).
1.71/0.58	thf(func_def_30, type, d_Inj0: $i > $i).
1.71/0.58	thf(func_def_31, type, d_Unj: $i > $i).
1.71/0.58	thf(func_def_32, type, pair: $i > $i > $i).
1.71/0.58	thf(func_def_33, type, proj0: $i > $i).
1.71/0.58	thf(func_def_34, type, proj1: $i > $i).
1.71/0.58	thf(func_def_35, type, d_Sigma: $i > ($i > $i) > $i).
1.71/0.58	thf(func_def_36, type, setprod: $i > $i > $i).
1.71/0.58	thf(func_def_37, type, ap: $i > $i > $i).
1.71/0.58	thf(func_def_38, type, pair_p: $i > $o).
1.71/0.58	thf(func_def_39, type, d_Pi: $i > ($i > $i) > $i).
1.71/0.58	thf(func_def_40, type, imp: $o > $o > $o).
1.71/0.58	thf(func_def_41, type, d_not: $o > $o).
1.71/0.58	thf(func_def_42, type, wel: $o > $o).
1.71/0.58	thf(func_def_44, type, l_ec: $o > $o > $o).
1.71/0.58	thf(func_def_45, type, d_and: $o > $o > $o).
1.71/0.58	thf(func_def_46, type, l_or: $o > $o > $o).
1.71/0.58	thf(func_def_47, type, orec: $o > $o > $o).
1.71/0.58	thf(func_def_48, type, l_iff: $o > $o > $o).
1.71/0.58	thf(func_def_49, type, all: $i > ($i > $o) > $o).
1.71/0.58	thf(func_def_50, type, non: $i > ($i > $o) > $i > $o).
1.71/0.58	thf(func_def_51, type, l_some: $i > ($i > $o) > $o).
1.71/0.58	thf(func_def_52, type, or3: $o > $o > $o > $o).
1.71/0.58	thf(func_def_53, type, and3: $o > $o > $o > $o).
1.71/0.58	thf(func_def_54, type, ec3: $o > $o > $o > $o).
1.71/0.58	thf(func_def_55, type, orec3: $o > $o > $o > $o).
1.71/0.58	thf(func_def_56, type, e_is: $i > $i > $i > $o).
1.71/0.58	thf(func_def_57, type, amone: $i > ($i > $o) > $o).
1.71/0.58	thf(func_def_58, type, one: $i > ($i > $o) > $o).
1.71/0.58	thf(func_def_59, type, ind: $i > ($i > $o) > $i).
1.71/0.58	thf(func_def_60, type, injective: $i > $i > $i > $o).
1.71/0.58	thf(func_def_61, type, image: $i > $i > $i > $i > $o).
1.71/0.58	thf(func_def_62, type, tofs: $i > $i > $i > $i > $i).
1.71/0.58	thf(func_def_63, type, soft: $i > $i > $i > $i > $i).
1.71/0.58	thf(func_def_64, type, inverse: $i > $i > $i > $i).
1.71/0.58	thf(func_def_65, type, surjective: $i > $i > $i > $o).
1.71/0.58	thf(func_def_66, type, bijective: $i > $i > $i > $o).
1.71/0.58	thf(func_def_67, type, invf: $i > $i > $i > $i).
1.71/0.58	thf(func_def_68, type, inj_h: $i > $i > $i > $i > $i > $i).
1.71/0.58	thf(func_def_69, type, e_in: $i > ($i > $o) > $i > $i).
1.71/0.58	thf(func_def_70, type, out: $i > ($i > $o) > $i > $i).
1.71/0.58	thf(func_def_71, type, d_pair: $i > $i > $i > $i > $i).
1.71/0.58	thf(func_def_72, type, first: $i > $i > $i > $i).
1.71/0.58	thf(func_def_73, type, second: $i > $i > $i > $i).
1.71/0.58	thf(func_def_74, type, prop1: $o > $i > $i > $i > $i > $o).
1.71/0.58	thf(func_def_75, type, ite: $o > $i > $i > $i > $i).
1.71/0.58	thf(func_def_76, type, wissel_wa: $i > $i > $i > $i > $i).
1.71/0.58	thf(func_def_77, type, wissel_wb: $i > $i > $i > $i > $i).
1.71/0.58	thf(func_def_78, type, wissel: $i > $i > $i > $i).
1.71/0.58	thf(func_def_79, type, changef: $i > $i > $i > $i > $i > $i).
1.71/0.58	thf(func_def_80, type, r_ec: $o > $o > $o).
1.71/0.58	thf(func_def_81, type, esti: $i > $i > $i > $o).
1.71/0.58	thf(func_def_82, type, empty: $i > $i > $o).
1.71/0.58	thf(func_def_83, type, nonempty: $i > $i > $o).
1.71/0.58	thf(func_def_84, type, incl: $i > $i > $i > $o).
1.71/0.58	thf(func_def_85, type, st_disj: $i > $i > $i > $o).
1.71/0.58	thf(func_def_86, type, nissetprop: $i > $i > $i > $i > $o).
1.71/0.58	thf(func_def_87, type, unmore: $i > $i > $i > $i).
1.71/0.58	thf(func_def_88, type, ecelt: $i > ($i > $i > $o) > $i > $i).
1.71/0.58	thf(func_def_89, type, ecp: $i > ($i > $i > $o) > $i > $i > $o).
1.71/0.58	thf(func_def_90, type, anec: $i > ($i > $i > $o) > $i > $o).
1.71/0.58	thf(func_def_91, type, ect: $i > ($i > $i > $o) > $i).
1.71/0.58	thf(func_def_92, type, ectset: $i > ($i > $i > $o) > $i > $i).
1.71/0.58	thf(func_def_93, type, ectelt: $i > ($i > $i > $o) > $i > $i).
1.71/0.58	thf(func_def_94, type, ecect: $i > ($i > $i > $o) > $i > $i).
1.71/0.58	thf(func_def_95, type, fixfu: $i > ($i > $i > $o) > $i > $i > $o).
1.71/0.58	thf(func_def_96, type, d_10_prop1: $i > ($i > $i > $o) > $i > $i > $i > $i > $i > $o).
1.71/0.58	thf(func_def_97, type, prop2: $i > ($i > $i > $o) > $i > $i > $i > $i > $o).
1.71/0.58	thf(func_def_98, type, indeq: $i > ($i > $i > $o) > $i > $i > $i > $i).
1.71/0.58	thf(func_def_99, type, fixfu2: $i > ($i > $i > $o) > $i > $i > $o).
1.71/0.58	thf(func_def_100, type, d_11_i: $i > ($i > $i > $o) > $i > $i > $i > $i).
1.71/0.58	thf(func_def_101, type, indeq2: $i > ($i > $i > $o) > $i > $i > $i > $i > $i).
1.71/0.58	thf(func_def_103, type, n_is: $i > $i > $o).
1.71/0.58	thf(func_def_104, type, nis: $i > $i > $o).
1.71/0.58	thf(func_def_105, type, n_in: $i > $i > $o).
1.71/0.58	thf(func_def_106, type, n_some: ($i > $o) > $o).
1.71/0.58	thf(func_def_107, type, n_all: ($i > $o) > $o).
1.71/0.58	thf(func_def_108, type, n_one: ($i > $o) > $o).
1.71/0.58	thf(func_def_110, type, cond1: $i > $o).
1.71/0.58	thf(func_def_111, type, cond2: $i > $o).
1.71/0.58	thf(func_def_112, type, i1_s: ($i > $o) > $i).
1.71/0.58	thf(func_def_131, type, sK0: ($i > $o) > $i).
1.71/0.58	thf(func_def_132, type, sK1: $i > $i).
1.71/0.58	thf(func_def_133, type, sK2: ($i > $o) > $i).
1.71/0.58	thf(func_def_135, type, sK4: $i > $i > $i > $i > $i).
1.71/0.58	thf(func_def_136, type, sK5: $i > $i > $o).
1.71/0.58	thf(func_def_137, type, sK6: $i > $i > $o).
1.71/0.58	thf(func_def_138, type, sK7: ($i > $o) > $i).
1.71/0.58	thf(func_def_139, type, sK8: ($i > $o) > $i).
1.71/0.58	thf(func_def_140, type, sK9: ($i > $o) > $i).
1.71/0.58	thf(func_def_141, type, sK10: $i > $i).
1.71/0.58	thf(func_def_142, type, sK11: $i > $i > $o).
1.71/0.58	thf(func_def_145, type, sK14: $i > $i > $o).
1.71/0.58	thf(func_def_146, type, sK15: ($i > $o) > $i).
1.71/0.58	thf(func_def_147, type, sK16: ($i > $o) > $i).
1.71/0.58	thf(func_def_148, type, sK17: $i > $i > $o).
1.71/0.58	thf(func_def_149, type, sK18: ($i > $o) > $i).
1.71/0.58	thf(func_def_150, type, sK19: ($i > $o) > $i).
1.71/0.58	thf(func_def_151, type, sK20: $i > $i > $o).
1.71/0.58	thf(func_def_152, type, sK21: ($i > $o) > $i).
1.71/0.58	thf(func_def_153, type, ph22: !>[X0: $tType]:(X0)).
1.71/0.58	thf(f1409,plain,(
1.71/0.58	  $false),
1.71/0.58	  inference(avatar_sat_refutation,[],[f959,f1121,f1193,f1231,f1234,f1334,f1340,f1344,f1408])).
1.71/0.58	thf(f1408,plain,(
1.71/0.58	  spl3_9 | ~spl3_15 | ~spl3_32),
1.71/0.58	  inference(avatar_contradiction_clause,[],[f1407])).
1.71/0.58	thf(f1407,plain,(
1.71/0.58	  $false | (spl3_9 | ~spl3_15 | ~spl3_32)),
1.71/0.58	  inference(trivial_inequality_removal,[],[f1406])).
1.71/0.58	thf(f1406,plain,(
1.71/0.58	  ($false = $true) | (spl3_9 | ~spl3_15 | ~spl3_32)),
1.71/0.58	  inference(backward_demodulation,[],[f1087,f1405])).
1.71/0.58	thf(f1405,plain,(
1.71/0.58	  ((d_not @ $true) = $false) | (spl3_9 | ~spl3_32)),
1.71/0.58	  inference(subsumption_resolution,[],[f1399,f1364])).
1.71/0.58	thf(f1364,plain,(
1.71/0.58	  ((is_of @ sK12 @ (^[Y0 : $i]: (in @ Y0 @ (d_Sep @ omega @ (^[Y1 : $i]: (~ (emptyset = Y1))))))) != $false) | (spl3_9 | ~spl3_32)),
1.71/0.58	  inference(backward_demodulation,[],[f953,f1346])).
1.71/0.58	thf(f1346,plain,(
1.71/0.58	  (sK13 = sK12) | ~spl3_32),
1.71/0.58	  inference(leibniz_equality_elimination,[],[f1332])).
1.71/0.58	thf(f1332,plain,(
1.71/0.58	  ( ! [X0 : $i > $o] : (($false = (X0 @ sK12)) | ((X0 @ sK13) = $true)) ) | ~spl3_32),
1.71/0.58	  inference(avatar_component_clause,[],[f1331])).
1.71/0.58	thf(f1331,plain,(
1.71/0.58	  spl3_32 <=> ! [X0 : $i > $o] : (((X0 @ sK13) = $true) | ($false = (X0 @ sK12)))),
1.71/0.58	  introduced(avatar_definition,[new_symbols(naming,[spl3_32])])).
1.71/0.58	thf(f953,plain,(
1.71/0.58	  ((is_of @ sK13 @ (^[Y0 : $i]: (in @ Y0 @ (d_Sep @ omega @ (^[Y1 : $i]: (~ (emptyset = Y1))))))) != $false) | spl3_9),
1.71/0.58	  inference(avatar_component_clause,[],[f952])).
1.71/0.58	thf(f952,plain,(
1.71/0.58	  spl3_9 <=> ((is_of @ sK13 @ (^[Y0 : $i]: (in @ Y0 @ (d_Sep @ omega @ (^[Y1 : $i]: (~ (emptyset = Y1))))))) = $false)),
1.71/0.58	  introduced(avatar_definition,[new_symbols(naming,[spl3_9])])).
1.71/0.58	thf(f1399,plain,(
1.71/0.58	  ((is_of @ sK12 @ (^[Y0 : $i]: (in @ Y0 @ (d_Sep @ omega @ (^[Y1 : $i]: (~ (emptyset = Y1))))))) = $false) | ((d_not @ $true) = $false) | ~spl3_32),
1.71/0.58	  inference(superposition,[],[f1362,f1018])).
1.71/0.58	thf(f1018,plain,(
1.71/0.58	  ( ! [X0 : $i] : (((e_is @ (d_Sep @ omega @ (^[Y0 : $i]: (~ (emptyset = Y0)))) @ (binunion @ X0 @ (d_Sing @ X0)) @ (binunion @ X0 @ (d_Sing @ X0))) = $true) | ($false = (is_of @ X0 @ (^[Y0 : $i]: (in @ Y0 @ (d_Sep @ omega @ (^[Y1 : $i]: (~ (emptyset = Y1))))))))) )),
1.71/0.58	  inference(trivial_inequality_removal,[],[f1013])).
1.71/0.58	thf(f1013,plain,(
1.71/0.58	  ( ! [X0 : $i] : (($false = $true) | ((e_is @ (d_Sep @ omega @ (^[Y0 : $i]: (~ (emptyset = Y0)))) @ (binunion @ X0 @ (d_Sing @ X0)) @ (binunion @ X0 @ (d_Sing @ X0))) = $true) | ($false = (is_of @ X0 @ (^[Y0 : $i]: (in @ Y0 @ (d_Sep @ omega @ (^[Y1 : $i]: (~ (emptyset = Y1))))))))) )),
1.71/0.58	  inference(superposition,[],[f657,f702])).
1.71/0.58	thf(f702,plain,(
1.71/0.58	  ( ! [X1 : $i] : (((is_of @ (binunion @ X1 @ (d_Sing @ X1)) @ (^[Y0 : $i]: (in @ Y0 @ (d_Sep @ omega @ (^[Y1 : $i]: (~ (emptyset = Y1))))))) = $true) | ((is_of @ X1 @ (^[Y0 : $i]: (in @ Y0 @ (d_Sep @ omega @ (^[Y1 : $i]: (~ (emptyset = Y1))))))) = $false)) )),
1.71/0.58	  inference(binary_proxy_clausification,[],[f701])).
1.71/0.58	thf(f701,plain,(
1.71/0.58	  ( ! [X1 : $i] : ((((is_of @ X1 @ (^[Y0 : $i]: (in @ Y0 @ (d_Sep @ omega @ (^[Y1 : $i]: (~ (emptyset = Y1))))))) => (is_of @ (binunion @ X1 @ (d_Sing @ X1)) @ (^[Y0 : $i]: (in @ Y0 @ (d_Sep @ omega @ (^[Y1 : $i]: (~ (emptyset = Y1)))))))) = $true)) )),
1.71/0.58	  inference(beta_eta_normalization,[],[f700])).
1.71/0.58	thf(f700,plain,(
1.71/0.58	  ( ! [X1 : $i] : ((((^[Y0 : $i]: ((is_of @ Y0 @ (^[Y1 : $i]: (in @ Y1 @ (d_Sep @ omega @ (^[Y2 : $i]: (~ (emptyset = Y2))))))) => (is_of @ (binunion @ Y0 @ (d_Sing @ Y0)) @ (^[Y1 : $i]: (in @ Y1 @ (d_Sep @ omega @ (^[Y2 : $i]: (~ (emptyset = Y2))))))))) @ X1) = $true)) )),
1.71/0.58	  inference(pi_clausification,[],[f699])).
1.71/0.58	thf(f699,plain,(
1.71/0.58	  ((!! @ $i @ (^[Y0 : $i]: ((is_of @ Y0 @ (^[Y1 : $i]: (in @ Y1 @ (d_Sep @ omega @ (^[Y2 : $i]: (~ (emptyset = Y2))))))) => (is_of @ (binunion @ Y0 @ (d_Sing @ Y0)) @ (^[Y1 : $i]: (in @ Y1 @ (d_Sep @ omega @ (^[Y2 : $i]: (~ (emptyset = Y2)))))))))) = $true)),
1.71/0.58	  inference(beta_eta_normalization,[],[f531])).
1.71/0.58	thf(f531,plain,(
1.71/0.58	  ($true = ((^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (!! @ $i @ (^[Y2 : $i]: ((is_of @ Y2 @ Y0) => (Y1 @ Y2))))))) @ (^[Y0 : $i]: (in @ Y0 @ (d_Sep @ omega @ (^[Y1 : $i]: (~ (emptyset = Y1)))))) @ (^[Y0 : $i]: (is_of @ ((^[Y1 : $i]: (binunion @ Y1 @ (d_Sing @ Y1))) @ Y0) @ (^[Y1 : $i]: (in @ Y1 @ (d_Sep @ omega @ (^[Y2 : $i]: (~ (emptyset = Y2))))))))))),
1.71/0.58	  inference(definition_unfolding,[],[f467,f441,f471,f458,f471])).
1.71/0.58	thf(f458,plain,(
1.71/0.58	  (ordsucc = (^[Y0 : $i]: (binunion @ Y0 @ (d_Sing @ Y0))))),
1.71/0.58	  inference(cnf_transformation,[],[f356])).
1.71/0.58	thf(f356,plain,(
1.71/0.58	  (ordsucc = (^[Y0 : $i]: (binunion @ Y0 @ (d_Sing @ Y0))))),
1.71/0.58	  inference(fool_elimination,[],[f19])).
1.71/0.58	thf(f19,axiom,(
1.71/0.58	  ((^[X0 : $i] : (binunion @ X0 @ (d_Sing @ X0))) = ordsucc)),
1.71/0.58	  file('/export/starexec/sandbox2/benchmark/theBenchmark.p',def_ordsucc)).
1.71/0.58	thf(f471,plain,(
1.71/0.58	  (nat = (d_Sep @ omega @ (^[Y0 : $i]: (~ (emptyset = Y0)))))),
1.71/0.58	  inference(cnf_transformation,[],[f238])).
1.71/0.58	thf(f238,plain,(
1.71/0.58	  (nat = (d_Sep @ omega @ (^[Y0 : $i]: (~ (emptyset = Y0)))))),
1.71/0.58	  inference(fool_elimination,[],[f95])).
1.71/0.58	thf(f95,axiom,(
1.71/0.58	  ((d_Sep @ omega @ (^[X0 : $i] : ((emptyset != X0)))) = nat)),
1.71/0.58	  file('/export/starexec/sandbox2/benchmark/theBenchmark.p',def_nat)).
1.71/0.58	thf(f441,plain,(
1.71/0.58	  (all_of = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (!! @ $i @ (^[Y2 : $i]: ((is_of @ Y2 @ Y0) => (Y1 @ Y2))))))))),
1.71/0.58	  inference(cnf_transformation,[],[f349])).
1.71/0.58	thf(f349,plain,(
1.71/0.58	  (all_of = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (!! @ $i @ (^[Y2 : $i]: ((is_of @ Y2 @ Y0) => (Y1 @ Y2))))))))),
1.71/0.58	  inference(fool_elimination,[],[f348])).
1.71/0.58	thf(f348,plain,(
1.71/0.58	  (all_of = (^[X0 : $i > $o, X1 : $i > $o] : (! [X2] : ((is_of @ X2 @ X0) => (X1 @ X2)))))),
1.71/0.58	  inference(rectify,[],[f2])).
1.71/0.58	thf(f2,axiom,(
1.71/0.58	  (all_of = (^[X0 : $i > $o, X1 : $i > $o] : (! [X2] : ((is_of @ X2 @ X0) => (X1 @ X2)))))),
1.71/0.58	  file('/export/starexec/sandbox2/benchmark/theBenchmark.p',def_all_of)).
1.71/0.58	thf(f467,plain,(
1.71/0.58	  ($true = (all_of @ (^[Y0 : $i]: (in @ Y0 @ nat)) @ (^[Y0 : $i]: (is_of @ (ordsucc @ Y0) @ (^[Y1 : $i]: (in @ Y1 @ nat))))))),
1.71/0.58	  inference(cnf_transformation,[],[f240])).
1.71/0.58	thf(f240,plain,(
1.71/0.58	  ($true = (all_of @ (^[Y0 : $i]: (in @ Y0 @ nat)) @ (^[Y0 : $i]: (is_of @ (ordsucc @ Y0) @ (^[Y1 : $i]: (in @ Y1 @ nat))))))),
1.71/0.58	  inference(fool_elimination,[],[f239])).
1.71/0.58	thf(f239,plain,(
1.71/0.58	  (all_of @ (^[X0 : $i] : (in @ X0 @ nat)) @ (^[X1 : $i] : (is_of @ (ordsucc @ X1) @ (^[X2 : $i] : (in @ X2 @ nat)))))),
1.71/0.58	  inference(rectify,[],[f126])).
1.71/0.58	thf(f126,axiom,(
1.71/0.58	  (all_of @ (^[X0 : $i] : (in @ X0 @ nat)) @ (^[X0 : $i] : (is_of @ (ordsucc @ X0) @ (^[X1 : $i] : (in @ X1 @ nat)))))),
1.71/0.58	  file('/export/starexec/sandbox2/benchmark/theBenchmark.p',suc_p)).
1.71/0.58	thf(f657,plain,(
1.71/0.58	  ( ! [X0 : $i,X1 : $i] : (($false = (is_of @ X1 @ (^[Y0 : $i]: (in @ Y0 @ X0)))) | ((e_is @ X0 @ X1 @ X1) = $true)) )),
1.71/0.58	  inference(binary_proxy_clausification,[],[f656])).
1.71/0.58	thf(f656,plain,(
1.71/0.58	  ( ! [X0 : $i,X1 : $i] : ((((is_of @ X1 @ (^[Y0 : $i]: (in @ Y0 @ X0))) => (e_is @ X0 @ X1 @ X1)) = $true)) )),
1.71/0.58	  inference(beta_eta_normalization,[],[f655])).
1.71/0.58	thf(f655,plain,(
1.71/0.58	  ( ! [X0 : $i,X1 : $i] : ((((^[Y0 : $i]: ((is_of @ Y0 @ (^[Y1 : $i]: (in @ Y1 @ X0))) => (e_is @ X0 @ Y0 @ Y0))) @ X1) = $true)) )),
1.71/0.58	  inference(pi_clausification,[],[f654])).
1.71/0.58	thf(f654,plain,(
1.71/0.58	  ( ! [X0 : $i] : (((!! @ $i @ (^[Y0 : $i]: ((is_of @ Y0 @ (^[Y1 : $i]: (in @ Y1 @ X0))) => (e_is @ X0 @ Y0 @ Y0)))) = $true)) )),
1.71/0.58	  inference(beta_eta_normalization,[],[f542])).
1.71/0.58	thf(f542,plain,(
1.71/0.58	  ( ! [X0 : $i] : ((((^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (!! @ $i @ (^[Y2 : $i]: ((is_of @ Y2 @ Y0) => (Y1 @ Y2))))))) @ (^[Y0 : $i]: (in @ Y0 @ X0)) @ (^[Y0 : $i]: (e_is @ X0 @ Y0 @ Y0))) = $true)) )),
1.71/0.58	  inference(definition_unfolding,[],[f487,f441])).
1.71/0.58	thf(f487,plain,(
1.71/0.58	  ( ! [X0 : $i] : (((all_of @ (^[Y0 : $i]: (in @ Y0 @ X0)) @ (^[Y0 : $i]: (e_is @ X0 @ Y0 @ Y0))) = $true)) )),
1.71/0.58	  inference(cnf_transformation,[],[f346])).
1.71/0.58	thf(f346,plain,(
1.71/0.58	  ! [X0] : ((all_of @ (^[Y0 : $i]: (in @ Y0 @ X0)) @ (^[Y0 : $i]: (e_is @ X0 @ Y0 @ Y0))) = $true)),
1.71/0.58	  inference(fool_elimination,[],[f345])).
1.71/0.58	thf(f345,plain,(
1.71/0.58	  ! [X0] : (all_of @ (^[X1 : $i] : (in @ X1 @ X0)) @ (^[X2 : $i] : (e_is @ X0 @ X2 @ X2)))),
1.71/0.58	  inference(rectify,[],[f152])).
1.71/0.58	thf(f152,axiom,(
1.71/0.58	  ! [X0] : (all_of @ (^[X1 : $i] : (in @ X1 @ X0)) @ (^[X1 : $i] : (e_is @ X0 @ X1 @ X1)))),
1.71/0.58	  file('/export/starexec/sandbox2/benchmark/theBenchmark.p',refis)).
1.71/0.58	thf(f1362,plain,(
1.71/0.58	  ($false = (d_not @ (e_is @ (d_Sep @ omega @ (^[Y0 : $i]: (~ (emptyset = Y0)))) @ (binunion @ sK12 @ (d_Sing @ sK12)) @ (binunion @ sK12 @ (d_Sing @ sK12))))) | ~spl3_32),
1.71/0.58	  inference(backward_demodulation,[],[f697,f1346])).
1.71/0.58	thf(f697,plain,(
1.71/0.58	  ((d_not @ (e_is @ (d_Sep @ omega @ (^[Y0 : $i]: (~ (emptyset = Y0)))) @ (binunion @ sK12 @ (d_Sing @ sK12)) @ (binunion @ sK13 @ (d_Sing @ sK13)))) = $false)),
1.71/0.58	  inference(binary_proxy_clausification,[],[f695])).
1.71/0.58	thf(f695,plain,(
1.71/0.58	  ($false = ((d_not @ (e_is @ (d_Sep @ omega @ (^[Y0 : $i]: (~ (emptyset = Y0)))) @ sK12 @ sK13)) => (d_not @ (e_is @ (d_Sep @ omega @ (^[Y0 : $i]: (~ (emptyset = Y0)))) @ (binunion @ sK12 @ (d_Sing @ sK12)) @ (binunion @ sK13 @ (d_Sing @ sK13))))))),
1.71/0.58	  inference(binary_proxy_clausification,[],[f694])).
1.71/0.58	thf(f694,plain,(
1.71/0.58	  ($false = ((is_of @ sK13 @ (^[Y0 : $i]: (in @ Y0 @ (d_Sep @ omega @ (^[Y1 : $i]: (~ (emptyset = Y1))))))) => ((d_not @ (e_is @ (d_Sep @ omega @ (^[Y0 : $i]: (~ (emptyset = Y0)))) @ sK12 @ sK13)) => (d_not @ (e_is @ (d_Sep @ omega @ (^[Y0 : $i]: (~ (emptyset = Y0)))) @ (binunion @ sK12 @ (d_Sing @ sK12)) @ (binunion @ sK13 @ (d_Sing @ sK13)))))))),
1.71/0.58	  inference(beta_eta_normalization,[],[f693])).
1.71/0.58	thf(f693,plain,(
1.71/0.58	  ($false = ((^[Y0 : $i]: ((is_of @ Y0 @ (^[Y1 : $i]: (in @ Y1 @ (d_Sep @ omega @ (^[Y2 : $i]: (~ (emptyset = Y2))))))) => ((d_not @ (e_is @ (d_Sep @ omega @ (^[Y1 : $i]: (~ (emptyset = Y1)))) @ sK12 @ Y0)) => (d_not @ (e_is @ (d_Sep @ omega @ (^[Y1 : $i]: (~ (emptyset = Y1)))) @ (binunion @ sK12 @ (d_Sing @ sK12)) @ (binunion @ Y0 @ (d_Sing @ Y0))))))) @ sK13))),
1.71/0.58	  inference(sigma_clausification,[],[f691])).
1.71/0.58	thf(f691,plain,(
1.71/0.58	  ($false = (!! @ $i @ (^[Y0 : $i]: ((is_of @ Y0 @ (^[Y1 : $i]: (in @ Y1 @ (d_Sep @ omega @ (^[Y2 : $i]: (~ (emptyset = Y2))))))) => ((d_not @ (e_is @ (d_Sep @ omega @ (^[Y1 : $i]: (~ (emptyset = Y1)))) @ sK12 @ Y0)) => (d_not @ (e_is @ (d_Sep @ omega @ (^[Y1 : $i]: (~ (emptyset = Y1)))) @ (binunion @ sK12 @ (d_Sing @ sK12)) @ (binunion @ Y0 @ (d_Sing @ Y0)))))))))),
1.71/0.58	  inference(binary_proxy_clausification,[],[f690])).
1.71/0.58	thf(f690,plain,(
1.71/0.58	  (((is_of @ sK12 @ (^[Y0 : $i]: (in @ Y0 @ (d_Sep @ omega @ (^[Y1 : $i]: (~ (emptyset = Y1))))))) => (!! @ $i @ (^[Y0 : $i]: ((is_of @ Y0 @ (^[Y1 : $i]: (in @ Y1 @ (d_Sep @ omega @ (^[Y2 : $i]: (~ (emptyset = Y2))))))) => ((d_not @ (e_is @ (d_Sep @ omega @ (^[Y1 : $i]: (~ (emptyset = Y1)))) @ sK12 @ Y0)) => (d_not @ (e_is @ (d_Sep @ omega @ (^[Y1 : $i]: (~ (emptyset = Y1)))) @ (binunion @ sK12 @ (d_Sing @ sK12)) @ (binunion @ Y0 @ (d_Sing @ Y0))))))))) = $false)),
1.71/0.58	  inference(beta_eta_normalization,[],[f689])).
1.71/0.58	thf(f689,plain,(
1.71/0.58	  ($false = ((^[Y0 : $i]: ((is_of @ Y0 @ (^[Y1 : $i]: (in @ Y1 @ (d_Sep @ omega @ (^[Y2 : $i]: (~ (emptyset = Y2))))))) => (!! @ $i @ (^[Y1 : $i]: ((is_of @ Y1 @ (^[Y2 : $i]: (in @ Y2 @ (d_Sep @ omega @ (^[Y3 : $i]: (~ (emptyset = Y3))))))) => ((d_not @ (e_is @ (d_Sep @ omega @ (^[Y2 : $i]: (~ (emptyset = Y2)))) @ Y0 @ Y1)) => (d_not @ (e_is @ (d_Sep @ omega @ (^[Y2 : $i]: (~ (emptyset = Y2)))) @ (binunion @ Y0 @ (d_Sing @ Y0)) @ (binunion @ Y1 @ (d_Sing @ Y1)))))))))) @ sK12))),
1.71/0.58	  inference(sigma_clausification,[],[f688])).
1.71/0.58	thf(f688,plain,(
1.71/0.58	  ((!! @ $i @ (^[Y0 : $i]: ((is_of @ Y0 @ (^[Y1 : $i]: (in @ Y1 @ (d_Sep @ omega @ (^[Y2 : $i]: (~ (emptyset = Y2))))))) => (!! @ $i @ (^[Y1 : $i]: ((is_of @ Y1 @ (^[Y2 : $i]: (in @ Y2 @ (d_Sep @ omega @ (^[Y3 : $i]: (~ (emptyset = Y3))))))) => ((d_not @ (e_is @ (d_Sep @ omega @ (^[Y2 : $i]: (~ (emptyset = Y2)))) @ Y0 @ Y1)) => (d_not @ (e_is @ (d_Sep @ omega @ (^[Y2 : $i]: (~ (emptyset = Y2)))) @ (binunion @ Y0 @ (d_Sing @ Y0)) @ (binunion @ Y1 @ (d_Sing @ Y1))))))))))) != $true)),
1.71/0.58	  inference(beta_eta_normalization,[],[f523])).
1.71/0.58	thf(f523,plain,(
1.71/0.58	  (((^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (!! @ $i @ (^[Y2 : $i]: ((is_of @ Y2 @ Y0) => (Y1 @ Y2))))))) @ (^[Y0 : $i]: (in @ Y0 @ (d_Sep @ omega @ (^[Y1 : $i]: (~ (emptyset = Y1)))))) @ (^[Y0 : $i]: ((^[Y1 : $i > $o]: ((^[Y2 : $i > $o]: (!! @ $i @ (^[Y3 : $i]: ((is_of @ Y3 @ Y1) => (Y2 @ Y3))))))) @ (^[Y1 : $i]: (in @ Y1 @ (d_Sep @ omega @ (^[Y2 : $i]: (~ (emptyset = Y2)))))) @ (^[Y1 : $i]: (((^[Y2 : $i]: ((^[Y3 : $i]: (d_not @ (e_is @ (d_Sep @ omega @ (^[Y4 : $i]: (~ (emptyset = Y4)))) @ Y2 @ Y3))))) @ Y0 @ Y1) => ((^[Y2 : $i]: ((^[Y3 : $i]: (d_not @ (e_is @ (d_Sep @ omega @ (^[Y4 : $i]: (~ (emptyset = Y4)))) @ Y2 @ Y3))))) @ ((^[Y2 : $i]: (binunion @ Y2 @ (d_Sing @ Y2))) @ Y0) @ ((^[Y2 : $i]: (binunion @ Y2 @ (d_Sing @ Y2))) @ Y1))))))) != $true)),
1.71/0.58	  inference(definition_unfolding,[],[f451,f441,f471,f441,f471,f502,f502,f458,f458])).
1.71/0.58	thf(f502,plain,(
1.71/0.58	  (nis = (^[Y0 : $i]: ((^[Y1 : $i]: (d_not @ (e_is @ (d_Sep @ omega @ (^[Y2 : $i]: (~ (emptyset = Y2)))) @ Y0 @ Y1))))))),
1.71/0.58	  inference(definition_unfolding,[],[f470,f501])).
1.71/0.58	thf(f501,plain,(
1.71/0.58	  (n_is = (e_is @ (d_Sep @ omega @ (^[Y0 : $i]: (~ (emptyset = Y0))))))),
1.71/0.58	  inference(definition_unfolding,[],[f437,f471])).
1.71/0.58	thf(f437,plain,(
1.71/0.58	  (n_is = (e_is @ nat))),
1.71/0.58	  inference(cnf_transformation,[],[f96])).
1.71/0.58	thf(f96,axiom,(
1.71/0.58	  (n_is = (e_is @ nat))),
1.71/0.58	  file('/export/starexec/sandbox2/benchmark/theBenchmark.p',def_n_is)).
1.71/0.58	thf(f470,plain,(
1.71/0.58	  (nis = (^[Y0 : $i]: ((^[Y1 : $i]: (d_not @ (n_is @ Y0 @ Y1))))))),
1.71/0.58	  inference(cnf_transformation,[],[f359])).
1.71/0.58	thf(f359,plain,(
1.71/0.58	  (nis = (^[Y0 : $i]: ((^[Y1 : $i]: (d_not @ (n_is @ Y0 @ Y1))))))),
1.71/0.58	  inference(fool_elimination,[],[f97])).
1.71/0.58	thf(f97,axiom,(
1.71/0.58	  (nis = (^[X0 : $i, X1 : $i] : (d_not @ (n_is @ X0 @ X1))))),
1.71/0.58	  file('/export/starexec/sandbox2/benchmark/theBenchmark.p',def_nis)).
1.71/0.58	thf(f451,plain,(
1.71/0.58	  ($true != (all_of @ (^[Y0 : $i]: (in @ Y0 @ nat)) @ (^[Y0 : $i]: (all_of @ (^[Y1 : $i]: (in @ Y1 @ nat)) @ (^[Y1 : $i]: ((nis @ Y0 @ Y1) => (nis @ (ordsucc @ Y0) @ (ordsucc @ Y1))))))))),
1.71/0.58	  inference(cnf_transformation,[],[f415])).
1.71/0.58	thf(f415,plain,(
1.71/0.58	  ($true != (all_of @ (^[Y0 : $i]: (in @ Y0 @ nat)) @ (^[Y0 : $i]: (all_of @ (^[Y1 : $i]: (in @ Y1 @ nat)) @ (^[Y1 : $i]: ((nis @ Y0 @ Y1) => (nis @ (ordsucc @ Y0) @ (ordsucc @ Y1))))))))),
1.71/0.58	  inference(flattening,[],[f381])).
1.71/0.58	thf(f381,plain,(
1.71/0.58	  ~($true = (all_of @ (^[Y0 : $i]: (in @ Y0 @ nat)) @ (^[Y0 : $i]: (all_of @ (^[Y1 : $i]: (in @ Y1 @ nat)) @ (^[Y1 : $i]: ((nis @ Y0 @ Y1) => (nis @ (ordsucc @ Y0) @ (ordsucc @ Y1))))))))),
1.71/0.58	  inference(fool_elimination,[],[f380])).
1.71/0.58	thf(f380,plain,(
1.71/0.58	  ~(all_of @ (^[X0 : $i] : (in @ X0 @ nat)) @ (^[X1 : $i] : (all_of @ (^[X2 : $i] : (in @ X2 @ nat)) @ (^[X3 : $i] : ((nis @ X1 @ X3) => (nis @ (ordsucc @ X1) @ (ordsucc @ X3)))))))),
1.71/0.58	  inference(rectify,[],[f173])).
1.71/0.58	thf(f173,negated_conjecture,(
1.71/0.58	  ~(all_of @ (^[X0 : $i] : (in @ X0 @ nat)) @ (^[X0 : $i] : (all_of @ (^[X1 : $i] : (in @ X1 @ nat)) @ (^[X1 : $i] : ((nis @ X0 @ X1) => (nis @ (ordsucc @ X0) @ (ordsucc @ X1)))))))),
1.71/0.58	  inference(negated_conjecture,[],[f172])).
1.71/0.58	thf(f172,conjecture,(
1.71/0.58	  (all_of @ (^[X0 : $i] : (in @ X0 @ nat)) @ (^[X0 : $i] : (all_of @ (^[X1 : $i] : (in @ X1 @ nat)) @ (^[X1 : $i] : ((nis @ X0 @ X1) => (nis @ (ordsucc @ X0) @ (ordsucc @ X1)))))))),
1.71/0.58	  file('/export/starexec/sandbox2/benchmark/theBenchmark.p',satz1)).
1.71/0.58	thf(f1087,plain,(
1.71/0.58	  ((d_not @ $true) = $true) | ~spl3_15),
1.71/0.58	  inference(avatar_component_clause,[],[f1085])).
1.71/0.58	thf(f1085,plain,(
1.71/0.58	  spl3_15 <=> ((d_not @ $true) = $true)),
1.71/0.58	  introduced(avatar_definition,[new_symbols(naming,[spl3_15])])).
1.71/0.58	thf(f1344,plain,(
1.71/0.58	  ~spl3_10 | ~spl3_29),
1.71/0.58	  inference(avatar_contradiction_clause,[],[f1343])).
1.71/0.58	thf(f1343,plain,(
1.71/0.58	  $false | (~spl3_10 | ~spl3_29)),
1.71/0.58	  inference(trivial_inequality_removal,[],[f1342])).
1.71/0.58	thf(f1342,plain,(
1.71/0.58	  ($false = $true) | (~spl3_10 | ~spl3_29)),
1.71/0.58	  inference(forward_demodulation,[],[f958,f1230])).
1.71/0.58	thf(f1230,plain,(
1.71/0.58	  ($false = (e_is @ (d_Sep @ omega @ (^[Y0 : $i]: (~ (emptyset = Y0)))) @ sK12 @ sK13)) | ~spl3_29),
1.71/0.58	  inference(avatar_component_clause,[],[f1228])).
1.71/0.58	thf(f1228,plain,(
1.71/0.58	  spl3_29 <=> ($false = (e_is @ (d_Sep @ omega @ (^[Y0 : $i]: (~ (emptyset = Y0)))) @ sK12 @ sK13))),
1.71/0.58	  introduced(avatar_definition,[new_symbols(naming,[spl3_29])])).
1.71/0.58	thf(f958,plain,(
1.71/0.58	  ($true = (e_is @ (d_Sep @ omega @ (^[Y0 : $i]: (~ (emptyset = Y0)))) @ sK12 @ sK13)) | ~spl3_10),
1.71/0.58	  inference(avatar_component_clause,[],[f956])).
1.71/0.58	thf(f956,plain,(
1.71/0.58	  spl3_10 <=> ($true = (e_is @ (d_Sep @ omega @ (^[Y0 : $i]: (~ (emptyset = Y0)))) @ sK12 @ sK13))),
1.71/0.58	  introduced(avatar_definition,[new_symbols(naming,[spl3_10])])).
1.71/0.58	thf(f1340,plain,(
1.71/0.58	  ~spl3_8 | ~spl3_29),
1.71/0.58	  inference(avatar_contradiction_clause,[],[f1339])).
1.71/0.58	thf(f1339,plain,(
1.71/0.58	  $false | (~spl3_8 | ~spl3_29)),
1.71/0.58	  inference(trivial_inequality_removal,[],[f1338])).
1.71/0.58	thf(f1338,plain,(
1.71/0.58	  ($false = $true) | (~spl3_8 | ~spl3_29)),
1.71/0.58	  inference(forward_demodulation,[],[f1337,f950])).
1.71/0.58	thf(f950,plain,(
1.71/0.58	  ((d_not @ $false) = $false) | ~spl3_8),
1.71/0.58	  inference(avatar_component_clause,[],[f948])).
1.71/0.58	thf(f948,plain,(
1.71/0.58	  spl3_8 <=> ((d_not @ $false) = $false)),
1.71/0.58	  introduced(avatar_definition,[new_symbols(naming,[spl3_8])])).
1.71/0.58	thf(f1337,plain,(
1.71/0.58	  ((d_not @ $false) = $true) | ~spl3_29),
1.71/0.58	  inference(backward_demodulation,[],[f698,f1230])).
1.71/0.58	thf(f698,plain,(
1.71/0.58	  ((d_not @ (e_is @ (d_Sep @ omega @ (^[Y0 : $i]: (~ (emptyset = Y0)))) @ sK12 @ sK13)) = $true)),
1.71/0.58	  inference(binary_proxy_clausification,[],[f695])).
1.71/0.58	thf(f1334,plain,(
1.71/0.58	  spl3_32 | spl3_29),
1.71/0.58	  inference(avatar_split_clause,[],[f1315,f1228,f1331])).
1.71/0.58	thf(f1315,plain,(
1.71/0.58	  ( ! [X0 : $i > $o] : (($false = (e_is @ (d_Sep @ omega @ (^[Y0 : $i]: (~ (emptyset = Y0)))) @ sK12 @ sK13)) | ((X0 @ sK13) = $true) | ($false = (X0 @ sK12))) )),
1.71/0.58	  inference(trivial_inequality_removal,[],[f1312])).
1.71/0.58	thf(f1312,plain,(
1.71/0.58	  ( ! [X0 : $i > $o] : (($false = (e_is @ (d_Sep @ omega @ (^[Y0 : $i]: (~ (emptyset = Y0)))) @ sK12 @ sK13)) | ($false = (X0 @ sK12)) | ((X0 @ sK13) = $true) | ($false = $true)) )),
1.71/0.58	  inference(superposition,[],[f696,f971])).
1.71/0.58	thf(f971,plain,(
1.71/0.58	  ( ! [X0 : $i,X1 : $i > $o] : (($false = (is_of @ X0 @ (^[Y0 : $i]: (in @ Y0 @ (d_Sep @ omega @ (^[Y1 : $i]: (~ (emptyset = Y1)))))))) | ($false = (X1 @ sK12)) | ($false = (e_is @ (d_Sep @ omega @ (^[Y0 : $i]: (~ (emptyset = Y0)))) @ sK12 @ X0)) | ((X1 @ X0) = $true)) )),
1.71/0.58	  inference(trivial_inequality_removal,[],[f963])).
1.71/0.58	thf(f963,plain,(
1.71/0.58	  ( ! [X0 : $i,X1 : $i > $o] : (($false = (is_of @ X0 @ (^[Y0 : $i]: (in @ Y0 @ (d_Sep @ omega @ (^[Y1 : $i]: (~ (emptyset = Y1)))))))) | ($false = (e_is @ (d_Sep @ omega @ (^[Y0 : $i]: (~ (emptyset = Y0)))) @ sK12 @ X0)) | ($false = $true) | ($false = (X1 @ sK12)) | ((X1 @ X0) = $true)) )),
1.71/0.58	  inference(superposition,[],[f772,f692])).
1.71/0.58	thf(f692,plain,(
1.71/0.58	  ((is_of @ sK12 @ (^[Y0 : $i]: (in @ Y0 @ (d_Sep @ omega @ (^[Y1 : $i]: (~ (emptyset = Y1))))))) = $true)),
1.71/0.58	  inference(binary_proxy_clausification,[],[f690])).
1.71/0.58	thf(f772,plain,(
1.71/0.58	  ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i > $o] : (($false = (is_of @ X2 @ (^[Y0 : $i]: (in @ Y0 @ X0)))) | ((is_of @ X3 @ (^[Y0 : $i]: (in @ Y0 @ X0))) = $false) | ((e_is @ X0 @ X2 @ X3) = $false) | ((X1 @ X3) = $true) | ((X1 @ X2) = $false)) )),
1.71/0.58	  inference(binary_proxy_clausification,[],[f771])).
1.71/0.58	thf(f771,plain,(
1.71/0.58	  ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i > $o] : (((is_of @ X3 @ (^[Y0 : $i]: (in @ Y0 @ X0))) = $false) | ($false = (is_of @ X2 @ (^[Y0 : $i]: (in @ Y0 @ X0)))) | ($true = ((e_is @ X0 @ X2 @ X3) => (X1 @ X3))) | ((X1 @ X2) = $false)) )),
1.71/0.58	  inference(binary_proxy_clausification,[],[f770])).
1.71/0.58	thf(f770,plain,(
1.71/0.58	  ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i > $o] : (($false = (is_of @ X2 @ (^[Y0 : $i]: (in @ Y0 @ X0)))) | (((X1 @ X2) => ((e_is @ X0 @ X2 @ X3) => (X1 @ X3))) = $true) | ((is_of @ X3 @ (^[Y0 : $i]: (in @ Y0 @ X0))) = $false)) )),
1.71/0.58	  inference(binary_proxy_clausification,[],[f769])).
1.71/0.58	thf(f769,plain,(
1.71/0.58	  ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i > $o] : (($true = ((is_of @ X3 @ (^[Y0 : $i]: (in @ Y0 @ X0))) => ((X1 @ X2) => ((e_is @ X0 @ X2 @ X3) => (X1 @ X3))))) | ($false = (is_of @ X2 @ (^[Y0 : $i]: (in @ Y0 @ X0))))) )),
1.71/0.58	  inference(beta_eta_normalization,[],[f768])).
1.71/0.58	thf(f768,plain,(
1.71/0.58	  ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i > $o] : (($false = (is_of @ X2 @ (^[Y0 : $i]: (in @ Y0 @ X0)))) | ($true = ((^[Y0 : $i]: ((is_of @ Y0 @ (^[Y1 : $i]: (in @ Y1 @ X0))) => ((X1 @ X2) => ((e_is @ X0 @ X2 @ Y0) => (X1 @ Y0))))) @ X3))) )),
1.71/0.58	  inference(pi_clausification,[],[f767])).
1.71/0.58	thf(f767,plain,(
1.71/0.58	  ( ! [X2 : $i,X0 : $i,X1 : $i > $o] : (($false = (is_of @ X2 @ (^[Y0 : $i]: (in @ Y0 @ X0)))) | ($true = (!! @ $i @ (^[Y0 : $i]: ((is_of @ Y0 @ (^[Y1 : $i]: (in @ Y1 @ X0))) => ((X1 @ X2) => ((e_is @ X0 @ X2 @ Y0) => (X1 @ Y0)))))))) )),
1.71/0.58	  inference(binary_proxy_clausification,[],[f766])).
1.71/0.58	thf(f766,plain,(
1.71/0.58	  ( ! [X2 : $i,X0 : $i,X1 : $i > $o] : ((((is_of @ X2 @ (^[Y0 : $i]: (in @ Y0 @ X0))) => (!! @ $i @ (^[Y0 : $i]: ((is_of @ Y0 @ (^[Y1 : $i]: (in @ Y1 @ X0))) => ((X1 @ X2) => ((e_is @ X0 @ X2 @ Y0) => (X1 @ Y0))))))) = $true)) )),
1.71/0.58	  inference(beta_eta_normalization,[],[f765])).
1.71/0.58	thf(f765,plain,(
1.71/0.58	  ( ! [X2 : $i,X0 : $i,X1 : $i > $o] : ((((^[Y0 : $i]: ((is_of @ Y0 @ (^[Y1 : $i]: (in @ Y1 @ X0))) => (!! @ $i @ (^[Y1 : $i]: ((is_of @ Y1 @ (^[Y2 : $i]: (in @ Y2 @ X0))) => ((X1 @ Y0) => ((e_is @ X0 @ Y0 @ Y1) => (X1 @ Y1)))))))) @ X2) = $true)) )),
1.71/0.58	  inference(pi_clausification,[],[f764])).
1.71/0.58	thf(f764,plain,(
1.71/0.58	  ( ! [X0 : $i,X1 : $i > $o] : (((!! @ $i @ (^[Y0 : $i]: ((is_of @ Y0 @ (^[Y1 : $i]: (in @ Y1 @ X0))) => (!! @ $i @ (^[Y1 : $i]: ((is_of @ Y1 @ (^[Y2 : $i]: (in @ Y2 @ X0))) => ((X1 @ Y0) => ((e_is @ X0 @ Y0 @ Y1) => (X1 @ Y1))))))))) = $true)) )),
1.71/0.58	  inference(beta_eta_normalization,[],[f517])).
1.71/0.58	thf(f517,plain,(
1.71/0.58	  ( ! [X0 : $i,X1 : $i > $o] : (($true = ((^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (!! @ $i @ (^[Y2 : $i]: ((is_of @ Y2 @ Y0) => (Y1 @ Y2))))))) @ (^[Y0 : $i]: (in @ Y0 @ X0)) @ (^[Y0 : $i]: ((^[Y1 : $i > $o]: ((^[Y2 : $i > $o]: (!! @ $i @ (^[Y3 : $i]: ((is_of @ Y3 @ Y1) => (Y2 @ Y3))))))) @ (^[Y1 : $i]: (in @ Y1 @ X0)) @ (^[Y1 : $i]: ((X1 @ Y0) => ((e_is @ X0 @ Y0 @ Y1) => (X1 @ Y1))))))))) )),
1.71/0.58	  inference(definition_unfolding,[],[f440,f441,f441])).
1.71/0.58	thf(f440,plain,(
1.71/0.58	  ( ! [X0 : $i,X1 : $i > $o] : (($true = (all_of @ (^[Y0 : $i]: (in @ Y0 @ X0)) @ (^[Y0 : $i]: (all_of @ (^[Y1 : $i]: (in @ Y1 @ X0)) @ (^[Y1 : $i]: ((X1 @ Y0) => ((e_is @ X0 @ Y0 @ Y1) => (X1 @ Y1))))))))) )),
1.71/0.58	  inference(cnf_transformation,[],[f184])).
1.71/0.58	thf(f184,plain,(
1.71/0.58	  ! [X0,X1 : $i > $o] : ($true = (all_of @ (^[Y0 : $i]: (in @ Y0 @ X0)) @ (^[Y0 : $i]: (all_of @ (^[Y1 : $i]: (in @ Y1 @ X0)) @ (^[Y1 : $i]: ((X1 @ Y0) => ((e_is @ X0 @ Y0 @ Y1) => (X1 @ Y1))))))))),
1.71/0.58	  inference(fool_elimination,[],[f183])).
1.71/0.58	thf(f183,plain,(
1.71/0.58	  ! [X0,X1 : $i > $o] : (all_of @ (^[X2 : $i] : (in @ X2 @ X0)) @ (^[X3 : $i] : (all_of @ (^[X4 : $i] : (in @ X4 @ X0)) @ (^[X5 : $i] : ((X1 @ X3) => ((e_is @ X0 @ X3 @ X5) => (X1 @ X5)))))))),
1.71/0.58	  inference(rectify,[],[f155])).
1.71/0.58	thf(f155,axiom,(
1.71/0.58	  ! [X0,X1 : $i > $o] : (all_of @ (^[X2 : $i] : (in @ X2 @ X0)) @ (^[X2 : $i] : (all_of @ (^[X3 : $i] : (in @ X3 @ X0)) @ (^[X3 : $i] : ((X1 @ X2) => ((e_is @ X0 @ X2 @ X3) => (X1 @ X3)))))))),
1.71/0.58	  file('/export/starexec/sandbox2/benchmark/theBenchmark.p',e_isp)).
1.71/0.58	thf(f696,plain,(
1.71/0.58	  ((is_of @ sK13 @ (^[Y0 : $i]: (in @ Y0 @ (d_Sep @ omega @ (^[Y1 : $i]: (~ (emptyset = Y1))))))) = $true)),
1.71/0.58	  inference(binary_proxy_clausification,[],[f694])).
1.71/0.58	thf(f1234,plain,(
1.71/0.58	  ~spl3_22),
1.71/0.58	  inference(avatar_contradiction_clause,[],[f1233])).
1.71/0.58	thf(f1233,plain,(
1.71/0.58	  $false | ~spl3_22),
1.71/0.58	  inference(trivial_inequality_removal,[],[f1232])).
1.71/0.58	thf(f1232,plain,(
1.71/0.58	  ($false = $true) | ~spl3_22),
1.71/0.58	  inference(backward_demodulation,[],[f912,f1172])).
1.71/0.58	thf(f1172,plain,(
1.71/0.58	  ($false = (e_is @ (d_Sep @ omega @ (^[Y0 : $i]: (~ (emptyset = Y0)))) @ sK13 @ sK13)) | ~spl3_22),
1.71/0.58	  inference(avatar_component_clause,[],[f1170])).
1.71/0.58	thf(f1170,plain,(
1.71/0.58	  spl3_22 <=> ($false = (e_is @ (d_Sep @ omega @ (^[Y0 : $i]: (~ (emptyset = Y0)))) @ sK13 @ sK13))),
1.71/0.58	  introduced(avatar_definition,[new_symbols(naming,[spl3_22])])).
1.71/0.58	thf(f912,plain,(
1.71/0.58	  ($true = (e_is @ (d_Sep @ omega @ (^[Y0 : $i]: (~ (emptyset = Y0)))) @ sK13 @ sK13))),
1.71/0.58	  inference(trivial_inequality_removal,[],[f906])).
1.71/0.58	thf(f906,plain,(
1.71/0.58	  ($true = (e_is @ (d_Sep @ omega @ (^[Y0 : $i]: (~ (emptyset = Y0)))) @ sK13 @ sK13)) | ($false = $true)),
1.71/0.58	  inference(superposition,[],[f696,f657])).
1.71/0.58	thf(f1231,plain,(
1.71/0.58	  spl3_15 | spl3_29 | ~spl3_21),
1.71/0.58	  inference(avatar_split_clause,[],[f1209,f1167,f1228,f1085])).
1.71/0.58	thf(f1167,plain,(
1.71/0.58	  spl3_21 <=> ! [X0 : $i > $o] : (((X0 @ sK13) = $true) | ((X0 @ sK13) = $false))),
1.71/0.58	  introduced(avatar_definition,[new_symbols(naming,[spl3_21])])).
1.71/0.58	thf(f1209,plain,(
1.71/0.58	  ((d_not @ $true) = $true) | ($false = (e_is @ (d_Sep @ omega @ (^[Y0 : $i]: (~ (emptyset = Y0)))) @ sK12 @ sK13)) | ~spl3_21),
1.71/0.58	  inference(superposition,[],[f698,f1168])).
1.71/0.58	thf(f1168,plain,(
1.71/0.58	  ( ! [X0 : $i > $o] : (((X0 @ sK13) = $true) | ((X0 @ sK13) = $false)) ) | ~spl3_21),
1.71/0.58	  inference(avatar_component_clause,[],[f1167])).
1.71/0.58	thf(f1193,plain,(
1.71/0.58	  spl3_21 | spl3_22),
1.71/0.58	  inference(avatar_split_clause,[],[f1157,f1170,f1167])).
1.71/0.58	thf(f1157,plain,(
1.71/0.58	  ( ! [X0 : $i > $o] : (((X0 @ sK13) = $true) | ($false = (e_is @ (d_Sep @ omega @ (^[Y0 : $i]: (~ (emptyset = Y0)))) @ sK13 @ sK13)) | ((X0 @ sK13) = $false)) )),
1.71/0.58	  inference(trivial_inequality_removal,[],[f1156])).
1.71/0.58	thf(f1156,plain,(
1.71/0.58	  ( ! [X0 : $i > $o] : (((X0 @ sK13) = $false) | ($false = (e_is @ (d_Sep @ omega @ (^[Y0 : $i]: (~ (emptyset = Y0)))) @ sK13 @ sK13)) | ($false = $true) | ((X0 @ sK13) = $true)) )),
1.71/0.58	  inference(superposition,[],[f696,f969])).
1.71/0.58	thf(f969,plain,(
1.71/0.58	  ( ! [X2 : $i > $o,X0 : $i,X1 : $i] : (((is_of @ X0 @ (^[Y0 : $i]: (in @ Y0 @ X1))) = $false) | ((X2 @ X0) = $true) | ($false = (e_is @ X1 @ X0 @ X0)) | ((X2 @ X0) = $false)) )),
1.71/0.58	  inference(trivial_inequality_removal,[],[f968])).
1.71/0.58	thf(f968,plain,(
1.71/0.58	  ( ! [X2 : $i > $o,X0 : $i,X1 : $i] : (($false = (e_is @ X1 @ X0 @ X0)) | ((is_of @ X0 @ (^[Y0 : $i]: (in @ Y0 @ X1))) = $false) | ($false != $false) | ((X2 @ X0) = $true) | ((X2 @ X0) = $false)) )),
1.71/0.58	  inference(equality_factoring,[],[f772])).
1.71/0.58	thf(f1121,plain,(
1.71/0.58	  ~spl3_9),
1.71/0.58	  inference(avatar_contradiction_clause,[],[f1120])).
1.71/0.58	thf(f1120,plain,(
1.71/0.58	  $false | ~spl3_9),
1.71/0.58	  inference(trivial_inequality_removal,[],[f1119])).
1.71/0.58	thf(f1119,plain,(
1.71/0.58	  ($false = $true) | ~spl3_9),
1.71/0.58	  inference(backward_demodulation,[],[f696,f954])).
1.71/0.58	thf(f954,plain,(
1.71/0.58	  ((is_of @ sK13 @ (^[Y0 : $i]: (in @ Y0 @ (d_Sep @ omega @ (^[Y1 : $i]: (~ (emptyset = Y1))))))) = $false) | ~spl3_9),
1.71/0.58	  inference(avatar_component_clause,[],[f952])).
1.71/0.58	thf(f959,plain,(
1.71/0.58	  spl3_8 | spl3_9 | spl3_10),
1.71/0.58	  inference(avatar_split_clause,[],[f946,f956,f952,f948])).
1.71/0.58	thf(f946,plain,(
1.71/0.58	  ((d_not @ $false) = $false) | ((is_of @ sK13 @ (^[Y0 : $i]: (in @ Y0 @ (d_Sep @ omega @ (^[Y1 : $i]: (~ (emptyset = Y1))))))) = $false) | ($true = (e_is @ (d_Sep @ omega @ (^[Y0 : $i]: (~ (emptyset = Y0)))) @ sK12 @ sK13))),
1.71/0.58	  inference(trivial_inequality_removal,[],[f945])).
1.71/0.58	thf(f945,plain,(
1.71/0.58	  ($true = (e_is @ (d_Sep @ omega @ (^[Y0 : $i]: (~ (emptyset = Y0)))) @ sK12 @ sK13)) | ($false = $true) | ((d_not @ $false) = $false) | ((is_of @ sK13 @ (^[Y0 : $i]: (in @ Y0 @ (d_Sep @ omega @ (^[Y1 : $i]: (~ (emptyset = Y1))))))) = $false)),
1.71/0.58	  inference(forward_demodulation,[],[f944,f692])).
1.71/0.58	thf(f944,plain,(
1.71/0.58	  ((is_of @ sK13 @ (^[Y0 : $i]: (in @ Y0 @ (d_Sep @ omega @ (^[Y1 : $i]: (~ (emptyset = Y1))))))) = $false) | ((d_not @ $false) = $false) | ((is_of @ sK12 @ (^[Y0 : $i]: (in @ Y0 @ (d_Sep @ omega @ (^[Y1 : $i]: (~ (emptyset = Y1))))))) = $false) | ($true = (e_is @ (d_Sep @ omega @ (^[Y0 : $i]: (~ (emptyset = Y0)))) @ sK12 @ sK13))),
1.71/0.58	  inference(superposition,[],[f697,f795])).
1.71/0.58	thf(f795,plain,(
1.71/0.58	  ( ! [X2 : $i,X1 : $i] : (((e_is @ (d_Sep @ omega @ (^[Y0 : $i]: (~ (emptyset = Y0)))) @ (binunion @ X1 @ (d_Sing @ X1)) @ (binunion @ X2 @ (d_Sing @ X2))) = $false) | ((is_of @ X2 @ (^[Y0 : $i]: (in @ Y0 @ (d_Sep @ omega @ (^[Y1 : $i]: (~ (emptyset = Y1))))))) = $false) | ((e_is @ (d_Sep @ omega @ (^[Y0 : $i]: (~ (emptyset = Y0)))) @ X1 @ X2) = $true) | ((is_of @ X1 @ (^[Y0 : $i]: (in @ Y0 @ (d_Sep @ omega @ (^[Y1 : $i]: (~ (emptyset = Y1))))))) = $false)) )),
1.71/0.58	  inference(binary_proxy_clausification,[],[f794])).
1.71/0.58	thf(f794,plain,(
1.71/0.58	  ( ! [X2 : $i,X1 : $i] : (((is_of @ X1 @ (^[Y0 : $i]: (in @ Y0 @ (d_Sep @ omega @ (^[Y1 : $i]: (~ (emptyset = Y1))))))) = $false) | ((is_of @ X2 @ (^[Y0 : $i]: (in @ Y0 @ (d_Sep @ omega @ (^[Y1 : $i]: (~ (emptyset = Y1))))))) = $false) | (((e_is @ (d_Sep @ omega @ (^[Y0 : $i]: (~ (emptyset = Y0)))) @ (binunion @ X1 @ (d_Sing @ X1)) @ (binunion @ X2 @ (d_Sing @ X2))) => (e_is @ (d_Sep @ omega @ (^[Y0 : $i]: (~ (emptyset = Y0)))) @ X1 @ X2)) = $true)) )),
1.71/0.58	  inference(binary_proxy_clausification,[],[f793])).
1.71/0.58	thf(f793,plain,(
1.71/0.58	  ( ! [X2 : $i,X1 : $i] : (((is_of @ X1 @ (^[Y0 : $i]: (in @ Y0 @ (d_Sep @ omega @ (^[Y1 : $i]: (~ (emptyset = Y1))))))) = $false) | ($true = ((is_of @ X2 @ (^[Y0 : $i]: (in @ Y0 @ (d_Sep @ omega @ (^[Y1 : $i]: (~ (emptyset = Y1))))))) => ((e_is @ (d_Sep @ omega @ (^[Y0 : $i]: (~ (emptyset = Y0)))) @ (binunion @ X1 @ (d_Sing @ X1)) @ (binunion @ X2 @ (d_Sing @ X2))) => (e_is @ (d_Sep @ omega @ (^[Y0 : $i]: (~ (emptyset = Y0)))) @ X1 @ X2))))) )),
1.71/0.58	  inference(beta_eta_normalization,[],[f792])).
1.71/0.58	thf(f792,plain,(
1.71/0.58	  ( ! [X2 : $i,X1 : $i] : (((is_of @ X1 @ (^[Y0 : $i]: (in @ Y0 @ (d_Sep @ omega @ (^[Y1 : $i]: (~ (emptyset = Y1))))))) = $false) | ($true = ((^[Y0 : $i]: ((is_of @ Y0 @ (^[Y1 : $i]: (in @ Y1 @ (d_Sep @ omega @ (^[Y2 : $i]: (~ (emptyset = Y2))))))) => ((e_is @ (d_Sep @ omega @ (^[Y1 : $i]: (~ (emptyset = Y1)))) @ (binunion @ X1 @ (d_Sing @ X1)) @ (binunion @ Y0 @ (d_Sing @ Y0))) => (e_is @ (d_Sep @ omega @ (^[Y1 : $i]: (~ (emptyset = Y1)))) @ X1 @ Y0)))) @ X2))) )),
1.71/0.58	  inference(pi_clausification,[],[f791])).
1.71/0.58	thf(f791,plain,(
1.71/0.58	  ( ! [X1 : $i] : (((is_of @ X1 @ (^[Y0 : $i]: (in @ Y0 @ (d_Sep @ omega @ (^[Y1 : $i]: (~ (emptyset = Y1))))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((is_of @ Y0 @ (^[Y1 : $i]: (in @ Y1 @ (d_Sep @ omega @ (^[Y2 : $i]: (~ (emptyset = Y2))))))) => ((e_is @ (d_Sep @ omega @ (^[Y1 : $i]: (~ (emptyset = Y1)))) @ (binunion @ X1 @ (d_Sing @ X1)) @ (binunion @ Y0 @ (d_Sing @ Y0))) => (e_is @ (d_Sep @ omega @ (^[Y1 : $i]: (~ (emptyset = Y1)))) @ X1 @ Y0))))) = $true)) )),
1.71/0.58	  inference(binary_proxy_clausification,[],[f790])).
1.71/0.58	thf(f790,plain,(
1.71/0.58	  ( ! [X1 : $i] : ((((is_of @ X1 @ (^[Y0 : $i]: (in @ Y0 @ (d_Sep @ omega @ (^[Y1 : $i]: (~ (emptyset = Y1))))))) => (!! @ $i @ (^[Y0 : $i]: ((is_of @ Y0 @ (^[Y1 : $i]: (in @ Y1 @ (d_Sep @ omega @ (^[Y2 : $i]: (~ (emptyset = Y2))))))) => ((e_is @ (d_Sep @ omega @ (^[Y1 : $i]: (~ (emptyset = Y1)))) @ (binunion @ X1 @ (d_Sing @ X1)) @ (binunion @ Y0 @ (d_Sing @ Y0))) => (e_is @ (d_Sep @ omega @ (^[Y1 : $i]: (~ (emptyset = Y1)))) @ X1 @ Y0)))))) = $true)) )),
1.71/0.58	  inference(beta_eta_normalization,[],[f789])).
1.71/0.58	thf(f789,plain,(
1.71/0.58	  ( ! [X1 : $i] : ((((^[Y0 : $i]: ((is_of @ Y0 @ (^[Y1 : $i]: (in @ Y1 @ (d_Sep @ omega @ (^[Y2 : $i]: (~ (emptyset = Y2))))))) => (!! @ $i @ (^[Y1 : $i]: ((is_of @ Y1 @ (^[Y2 : $i]: (in @ Y2 @ (d_Sep @ omega @ (^[Y3 : $i]: (~ (emptyset = Y3))))))) => ((e_is @ (d_Sep @ omega @ (^[Y2 : $i]: (~ (emptyset = Y2)))) @ (binunion @ Y0 @ (d_Sing @ Y0)) @ (binunion @ Y1 @ (d_Sing @ Y1))) => (e_is @ (d_Sep @ omega @ (^[Y2 : $i]: (~ (emptyset = Y2)))) @ Y0 @ Y1))))))) @ X1) = $true)) )),
1.71/0.58	  inference(pi_clausification,[],[f788])).
1.71/0.58	thf(f788,plain,(
1.71/0.58	  ($true = (!! @ $i @ (^[Y0 : $i]: ((is_of @ Y0 @ (^[Y1 : $i]: (in @ Y1 @ (d_Sep @ omega @ (^[Y2 : $i]: (~ (emptyset = Y2))))))) => (!! @ $i @ (^[Y1 : $i]: ((is_of @ Y1 @ (^[Y2 : $i]: (in @ Y2 @ (d_Sep @ omega @ (^[Y3 : $i]: (~ (emptyset = Y3))))))) => ((e_is @ (d_Sep @ omega @ (^[Y2 : $i]: (~ (emptyset = Y2)))) @ (binunion @ Y0 @ (d_Sing @ Y0)) @ (binunion @ Y1 @ (d_Sing @ Y1))) => (e_is @ (d_Sep @ omega @ (^[Y2 : $i]: (~ (emptyset = Y2)))) @ Y0 @ Y1)))))))))),
1.71/0.58	  inference(beta_eta_normalization,[],[f521])).
1.71/0.58	thf(f521,plain,(
1.71/0.58	  (((^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (!! @ $i @ (^[Y2 : $i]: ((is_of @ Y2 @ Y0) => (Y1 @ Y2))))))) @ (^[Y0 : $i]: (in @ Y0 @ (d_Sep @ omega @ (^[Y1 : $i]: (~ (emptyset = Y1)))))) @ (^[Y0 : $i]: ((^[Y1 : $i > $o]: ((^[Y2 : $i > $o]: (!! @ $i @ (^[Y3 : $i]: ((is_of @ Y3 @ Y1) => (Y2 @ Y3))))))) @ (^[Y1 : $i]: (in @ Y1 @ (d_Sep @ omega @ (^[Y2 : $i]: (~ (emptyset = Y2)))))) @ (^[Y1 : $i]: ((e_is @ (d_Sep @ omega @ (^[Y2 : $i]: (~ (emptyset = Y2)))) @ ((^[Y2 : $i]: (binunion @ Y2 @ (d_Sing @ Y2))) @ Y0) @ ((^[Y2 : $i]: (binunion @ Y2 @ (d_Sing @ Y2))) @ Y1)) => (e_is @ (d_Sep @ omega @ (^[Y2 : $i]: (~ (emptyset = Y2)))) @ Y0 @ Y1)))))) = $true)),
1.71/0.58	  inference(definition_unfolding,[],[f447,f441,f471,f441,f471,f501,f458,f458,f501])).
1.71/0.58	thf(f447,plain,(
1.71/0.58	  ($true = (all_of @ (^[Y0 : $i]: (in @ Y0 @ nat)) @ (^[Y0 : $i]: (all_of @ (^[Y1 : $i]: (in @ Y1 @ nat)) @ (^[Y1 : $i]: ((n_is @ (ordsucc @ Y0) @ (ordsucc @ Y1)) => (n_is @ Y0 @ Y1)))))))),
1.71/0.58	  inference(cnf_transformation,[],[f306])).
1.71/0.58	thf(f306,plain,(
1.71/0.58	  ($true = (all_of @ (^[Y0 : $i]: (in @ Y0 @ nat)) @ (^[Y0 : $i]: (all_of @ (^[Y1 : $i]: (in @ Y1 @ nat)) @ (^[Y1 : $i]: ((n_is @ (ordsucc @ Y0) @ (ordsucc @ Y1)) => (n_is @ Y0 @ Y1)))))))),
1.71/0.58	  inference(fool_elimination,[],[f305])).
1.71/0.58	thf(f305,plain,(
1.71/0.58	  (all_of @ (^[X0 : $i] : (in @ X0 @ nat)) @ (^[X1 : $i] : (all_of @ (^[X2 : $i] : (in @ X2 @ nat)) @ (^[X3 : $i] : ((n_is @ (ordsucc @ X1) @ (ordsucc @ X3)) => (n_is @ X1 @ X3))))))),
1.71/0.58	  inference(rectify,[],[f117])).
1.71/0.58	thf(f117,axiom,(
1.71/0.58	  (all_of @ (^[X0 : $i] : (in @ X0 @ nat)) @ (^[X0 : $i] : (all_of @ (^[X1 : $i] : (in @ X1 @ nat)) @ (^[X1 : $i] : ((n_is @ (ordsucc @ X0) @ (ordsucc @ X1)) => (n_is @ X0 @ X1))))))),
1.71/0.58	  file('/export/starexec/sandbox2/benchmark/theBenchmark.p',n_ax4)).
1.71/0.58	% SZS output end Proof for theBenchmark
1.71/0.58	% (15998)------------------------------
1.71/0.58	% (15998)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100)
1.71/0.58	% (15998)Termination reason: Refutation
1.71/0.58	
1.71/0.58	% (15998)Memory used [KB]: 6908
1.71/0.58	% (15998)Time elapsed: 0.119 s
1.71/0.58	% (15998)Instructions burned: 197 (million)
1.71/0.58	% (15998)------------------------------
1.71/0.58	% (15998)------------------------------
1.71/0.58	% (15983)Success in time 0.225 s
1.71/0.58	% Vampire---4.8 exiting
1.71/0.58	EOF