TSTP Solution File: SYO533^1 by Vampire---4.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SYO533^1 : TPTP v8.2.0. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% 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
% Computer : n004.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue May 21 09:06:07 EDT 2024
% Result : Theorem 2.60s 0.69s
% Output : Refutation 2.60s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SYO533^1 : TPTP v8.2.0. Released v5.2.0.
% 0.07/0.13 % 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
% 0.13/0.34 % Computer : n004.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Mon May 20 10:04:23 EDT 2024
% 0.13/0.34 % CPUTime :
% 0.13/0.34 This is a TH0_THM_NEQ_NAR problem
% 0.13/0.35 Running vampire_ho --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_hol --cores 8 -m 12000 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.36 % (20633)dis+1010_1:1_au=on:cbe=off:chr=on:fsr=off:hfsq=on:nm=64:sos=theory:sp=weighted_frequency:i=27:si=on:rtra=on_0 on theBenchmark for (3000ds/27Mi)
% 0.13/0.36 % (20632)lrs+10_1:1_c=on:cnfonf=conj_eager:fd=off:fe=off:kws=frequency:spb=intro:i=4:si=on:rtra=on_0 on theBenchmark for (3000ds/4Mi)
% 0.13/0.36 % (20631)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on theBenchmark for (3000ds/183Mi)
% 0.13/0.36 % (20634)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on theBenchmark for (3000ds/2Mi)
% 0.13/0.36 % (20636)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 (3000ds/275Mi)
% 0.13/0.36 % (20637)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on theBenchmark for (3000ds/18Mi)
% 0.13/0.36 % (20634)Instruction limit reached!
% 0.13/0.36 % (20634)------------------------------
% 0.13/0.36 % (20634)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.13/0.36 % (20634)Termination reason: Unknown
% 0.13/0.36 % (20634)Termination phase: Saturation
% 0.13/0.36
% 0.13/0.36 % (20634)Memory used [KB]: 5373
% 0.13/0.36 % (20634)Time elapsed: 0.003 s
% 0.13/0.36 % (20634)Instructions burned: 2 (million)
% 0.13/0.36 % (20634)------------------------------
% 0.13/0.36 % (20634)------------------------------
% 0.13/0.37 % (20633)Refutation not found, incomplete strategy
% 0.13/0.37 % (20633)------------------------------
% 0.13/0.37 % (20633)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.13/0.37 % (20633)Termination reason: Refutation not found, incomplete strategy
% 0.13/0.37
% 0.13/0.37
% 0.13/0.37 % (20633)Memory used [KB]: 5500
% 0.13/0.37 % (20633)Time elapsed: 0.004 s
% 0.13/0.37 % (20633)Instructions burned: 1 (million)
% 0.13/0.37 % (20633)------------------------------
% 0.13/0.37 % (20633)------------------------------
% 0.13/0.37 % (20636)Refutation not found, incomplete strategy
% 0.13/0.37 % (20636)------------------------------
% 0.13/0.37 % (20636)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.13/0.37 % (20636)Termination reason: Refutation not found, incomplete strategy
% 0.13/0.37
% 0.13/0.37
% 0.13/0.37 % (20636)Memory used [KB]: 5500
% 0.13/0.37 % (20636)Time elapsed: 0.004 s
% 0.13/0.37 % (20636)Instructions burned: 1 (million)
% 0.13/0.37 % (20636)------------------------------
% 0.13/0.37 % (20636)------------------------------
% 0.13/0.37 % (20632)Instruction limit reached!
% 0.13/0.37 % (20632)------------------------------
% 0.13/0.37 % (20632)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.13/0.37 % (20632)Termination reason: Unknown
% 0.13/0.37 % (20632)Termination phase: Saturation
% 0.13/0.37
% 0.13/0.37 % (20632)Memory used [KB]: 5500
% 0.13/0.37 % (20632)Time elapsed: 0.005 s
% 0.13/0.37 % (20632)Instructions burned: 4 (million)
% 0.13/0.37 % (20632)------------------------------
% 0.13/0.37 % (20632)------------------------------
% 0.13/0.37 % (20635)lrs+1002_1:128_aac=none:au=on:cnfonf=lazy_not_gen_be_off:sos=all:i=2:si=on:rtra=on_0 on theBenchmark for (3000ds/2Mi)
% 0.13/0.37 % (20635)Instruction limit reached!
% 0.13/0.37 % (20635)------------------------------
% 0.13/0.37 % (20635)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.13/0.37 % (20635)Termination reason: Unknown
% 0.13/0.37 % (20635)Termination phase: Saturation
% 0.13/0.37
% 0.13/0.37 % (20635)Memory used [KB]: 5373
% 0.13/0.37 % (20635)Time elapsed: 0.003 s
% 0.13/0.37 % (20635)Instructions burned: 2 (million)
% 0.13/0.37 % (20635)------------------------------
% 0.13/0.37 % (20635)------------------------------
% 0.13/0.37 % (20637)Instruction limit reached!
% 0.13/0.37 % (20637)------------------------------
% 0.13/0.37 % (20637)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.13/0.37 % (20638)lrs+10_1:1_bet=on:cnfonf=off:fd=off:hud=5:inj=on:i=3:si=on:rtra=on_0 on theBenchmark for (3000ds/3Mi)
% 0.13/0.37 % (20637)Termination reason: Unknown
% 0.13/0.37 % (20637)Termination phase: Saturation
% 0.13/0.37
% 0.13/0.37 % (20637)Memory used [KB]: 5628
% 0.13/0.37 % (20637)Time elapsed: 0.012 s
% 0.13/0.37 % (20637)Instructions burned: 18 (million)
% 0.13/0.37 % (20637)------------------------------
% 0.13/0.37 % (20637)------------------------------
% 0.13/0.38 % (20638)Instruction limit reached!
% 0.13/0.38 % (20638)------------------------------
% 0.13/0.38 % (20638)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.13/0.38 % (20638)Termination reason: Unknown
% 0.13/0.38 % (20638)Termination phase: Saturation
% 0.13/0.38
% 0.13/0.38 % (20638)Memory used [KB]: 5500
% 0.13/0.38 % (20638)Time elapsed: 0.005 s
% 0.13/0.38 % (20638)Instructions burned: 4 (million)
% 0.13/0.38 % (20638)------------------------------
% 0.13/0.38 % (20638)------------------------------
% 0.13/0.38 % (20640)lrs+2_16:1_acc=model:au=on:bd=off:c=on:e2e=on:nm=2:sos=all:i=15:si=on:rtra=on_0 on theBenchmark for (2999ds/15Mi)
% 0.13/0.38 % (20639)lrs+1002_1:1_cnfonf=lazy_not_be_gen:hud=14:prag=on:sp=weighted_frequency:tnu=1:i=37:si=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.13/0.38 % (20641)dis+21_1:1_cbe=off:cnfonf=off:fs=off:fsr=off:hud=1:inj=on:i=3:si=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.13/0.38 % (20640)Refutation not found, incomplete strategy
% 0.13/0.38 % (20640)------------------------------
% 0.13/0.38 % (20640)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.13/0.38 % (20642)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 (2999ds/1041Mi)
% 0.13/0.38 % (20640)Termination reason: Refutation not found, incomplete strategy
% 0.13/0.38
% 0.13/0.38
% 0.13/0.38 % (20640)Memory used [KB]: 5500
% 0.13/0.38 % (20640)Time elapsed: 0.003 s
% 0.13/0.38 % (20640)Instructions burned: 2 (million)
% 0.13/0.38 % (20640)------------------------------
% 0.13/0.38 % (20640)------------------------------
% 0.13/0.38 % (20641)Instruction limit reached!
% 0.13/0.38 % (20641)------------------------------
% 0.13/0.38 % (20641)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.13/0.38 % (20641)Termination reason: Unknown
% 0.13/0.38 % (20641)Termination phase: Saturation
% 0.13/0.38
% 0.13/0.38 % (20641)Memory used [KB]: 5500
% 0.13/0.38 % (20641)Time elapsed: 0.004 s
% 0.13/0.38 % (20641)Instructions burned: 3 (million)
% 0.13/0.38 % (20641)------------------------------
% 0.13/0.38 % (20641)------------------------------
% 0.13/0.39 % (20642)Refutation not found, incomplete strategy
% 0.13/0.39 % (20642)------------------------------
% 0.13/0.39 % (20642)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.13/0.39 % (20642)Termination reason: Refutation not found, incomplete strategy
% 0.13/0.39
% 0.13/0.39
% 0.13/0.39 % (20642)Memory used [KB]: 5500
% 0.13/0.39 % (20642)Time elapsed: 0.007 s
% 0.13/0.39 % (20642)Instructions burned: 6 (million)
% 0.13/0.39 % (20642)------------------------------
% 0.13/0.39 % (20642)------------------------------
% 0.13/0.39 % (20643)lrs+10_1:1_av=off:chr=on:plsq=on:slsq=on:i=7:si=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.13/0.39 % (20639)Refutation not found, incomplete strategy
% 0.13/0.39 % (20639)------------------------------
% 0.13/0.39 % (20639)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.13/0.39 % (20639)Termination reason: Refutation not found, incomplete strategy
% 0.13/0.39
% 0.13/0.39
% 0.13/0.39 % (20639)Memory used [KB]: 5628
% 0.13/0.39 % (20639)Time elapsed: 0.010 s
% 0.13/0.39 % (20639)Instructions burned: 14 (million)
% 0.13/0.39 % (20639)------------------------------
% 0.13/0.39 % (20639)------------------------------
% 0.13/0.39 % (20644)lrs+10_1:1_acc=on:amm=sco:cs=on:tgt=full:i=16:si=on:rtra=on_0 on theBenchmark for (2999ds/16Mi)
% 0.19/0.39 % (20643)Instruction limit reached!
% 0.19/0.39 % (20643)------------------------------
% 0.19/0.39 % (20643)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.19/0.39 % (20643)Termination reason: Unknown
% 0.19/0.39 % (20643)Termination phase: Saturation
% 0.19/0.39
% 0.19/0.39 % (20643)Memory used [KB]: 1023
% 0.19/0.39 % (20643)Time elapsed: 0.006 s
% 0.19/0.39 % (20643)Instructions burned: 7 (million)
% 0.19/0.39 % (20643)------------------------------
% 0.19/0.39 % (20643)------------------------------
% 0.19/0.39 % (20645)lrs+21_1:1_au=on:cnfonf=off:fd=preordered:fe=off:fsr=off:hud=11:inj=on:kws=precedence:s2pl=no:sp=weighted_frequency:tgt=full:i=3:si=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.19/0.39 % (20645)Instruction limit reached!
% 0.19/0.39 % (20645)------------------------------
% 0.19/0.39 % (20645)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.19/0.39 % (20645)Termination reason: Unknown
% 0.19/0.39 % (20645)Termination phase: Saturation
% 0.19/0.39
% 0.19/0.39 % (20645)Memory used [KB]: 5500
% 0.19/0.39 % (20645)Time elapsed: 0.004 s
% 0.19/0.39 % (20645)Instructions burned: 3 (million)
% 0.19/0.39 % (20645)------------------------------
% 0.19/0.39 % (20645)------------------------------
% 0.19/0.39 % (20646)lrs+2_1:1_apa=on:au=on:bd=preordered:cnfonf=off:cs=on:ixr=off:sos=on:i=3:si=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.19/0.40 % (20646)Instruction limit reached!
% 0.19/0.40 % (20646)------------------------------
% 0.19/0.40 % (20646)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.19/0.40 % (20646)Termination reason: Unknown
% 0.19/0.40 % (20646)Termination phase: Saturation
% 0.19/0.40
% 0.19/0.40 % (20646)Memory used [KB]: 1023
% 0.19/0.40 % (20646)Time elapsed: 0.003 s
% 0.19/0.40 % (20646)Instructions burned: 3 (million)
% 0.19/0.40 % (20646)------------------------------
% 0.19/0.40 % (20646)------------------------------
% 0.19/0.40 % (20647)lrs+10_1:1_cnfonf=off:cs=on:hud=3:prag=on:sup=off:i=7:si=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.19/0.40 % (20644)Instruction limit reached!
% 0.19/0.40 % (20644)------------------------------
% 0.19/0.40 % (20644)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.19/0.40 % (20644)Termination reason: Unknown
% 0.19/0.40 % (20644)Termination phase: Saturation
% 0.19/0.40
% 0.19/0.40 % (20644)Memory used [KB]: 5628
% 0.19/0.40 % (20644)Time elapsed: 0.012 s
% 0.19/0.40 % (20644)Instructions burned: 16 (million)
% 0.19/0.40 % (20644)------------------------------
% 0.19/0.40 % (20644)------------------------------
% 0.19/0.40 % (20647)Refutation not found, incomplete strategy
% 0.19/0.40 % (20647)------------------------------
% 0.19/0.40 % (20647)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.19/0.40 % (20647)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.40
% 0.19/0.40
% 0.19/0.40 % (20647)Memory used [KB]: 5500
% 0.19/0.40 % (20647)Time elapsed: 0.003 s
% 0.19/0.40 % (20647)Instructions burned: 2 (million)
% 0.19/0.40 % (20647)------------------------------
% 0.19/0.40 % (20647)------------------------------
% 0.19/0.40 % (20648)dis+1002_1:1_add=large:cnfonf=lazy_pi_sigma_gen:fe=off:prag=on:i=3:si=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.19/0.40 % (20648)Instruction limit reached!
% 0.19/0.40 % (20648)------------------------------
% 0.19/0.40 % (20648)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.19/0.40 % (20649)dis+1004_1:1_cha=on:cs=on:fe=off:hud=1:i=4:si=on:rtra=on_0 on theBenchmark for (2999ds/4Mi)
% 0.19/0.40 % (20648)Termination reason: Unknown
% 0.19/0.40 % (20648)Termination phase: Saturation
% 0.19/0.40
% 0.19/0.40 % (20648)Memory used [KB]: 5500
% 0.19/0.40 % (20648)Time elapsed: 0.004 s
% 0.19/0.40 % (20648)Instructions burned: 3 (million)
% 0.19/0.40 % (20648)------------------------------
% 0.19/0.40 % (20648)------------------------------
% 0.19/0.40 % (20650)lrs+1002_1:1_anc=all_dependent:au=on:cbe=off:fde=unused:ntd=on:i=18:si=on:rtra=on_0 on theBenchmark for (2999ds/18Mi)
% 0.19/0.41 % (20649)Instruction limit reached!
% 0.19/0.41 % (20649)------------------------------
% 0.19/0.41 % (20649)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.19/0.41 % (20649)Termination reason: Unknown
% 0.19/0.41 % (20649)Termination phase: Saturation
% 0.19/0.41
% 0.19/0.41 % (20649)Memory used [KB]: 5500
% 0.19/0.41 % (20649)Time elapsed: 0.026 s
% 0.19/0.41 % (20649)Instructions burned: 4 (million)
% 0.19/0.41 % (20649)------------------------------
% 0.19/0.41 % (20649)------------------------------
% 0.19/0.41 % (20650)Refutation not found, incomplete strategy
% 0.19/0.41 % (20650)------------------------------
% 0.19/0.41 % (20650)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.19/0.41 % (20650)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.41
% 0.19/0.41
% 0.19/0.41 % (20650)Memory used [KB]: 5500
% 0.19/0.41 % (20650)Time elapsed: 0.003 s
% 0.19/0.41 % (20650)Instructions burned: 2 (million)
% 0.19/0.41 % (20650)------------------------------
% 0.19/0.41 % (20650)------------------------------
% 0.19/0.41 % (20651)lrs+10_1:1_e2e=on:sd=1:sgt=8:ss=axioms:i=710:si=on:rtra=on_0 on theBenchmark for (2999ds/710Mi)
% 0.19/0.41 % (20652)lrs+1004_1:1_chr=on:prag=on:i=6:si=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 0.19/0.41 % (20652)Refutation not found, incomplete strategy
% 0.19/0.41 % (20652)------------------------------
% 0.19/0.41 % (20652)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.19/0.41 % (20652)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.41
% 0.19/0.41
% 0.19/0.41 % (20652)Memory used [KB]: 5500
% 0.19/0.41 % (20652)Time elapsed: 0.003 s
% 0.19/0.41 % (20652)Instructions burned: 2 (million)
% 0.19/0.41 % (20652)------------------------------
% 0.19/0.41 % (20652)------------------------------
% 0.19/0.41 % (20654)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)
% 0.19/0.42 % (20653)dis+1002_5:1_au=on:bd=off:e2e=on:fde=none:fs=off:fsr=off:sos=on:i=902:si=on:rtra=on_0 on theBenchmark for (2999ds/902Mi)
% 0.19/0.42 % (20653)Refutation not found, incomplete strategy
% 0.19/0.42 % (20653)------------------------------
% 0.19/0.42 % (20653)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.19/0.42 % (20653)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.42
% 0.19/0.42
% 0.19/0.42 % (20653)Memory used [KB]: 5500
% 0.19/0.42 % (20653)Time elapsed: 0.026 s
% 0.19/0.42 % (20653)Instructions burned: 2 (million)
% 0.19/0.42 % (20653)------------------------------
% 0.19/0.42 % (20653)------------------------------
% 0.19/0.42 % (20655)dis+10_1:1_cnfonf=lazy_gen:fe=off:i=5:si=on:rtra=on_0 on theBenchmark for (2999ds/5Mi)
% 0.19/0.42 % (20655)Instruction limit reached!
% 0.19/0.42 % (20655)------------------------------
% 0.19/0.42 % (20655)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.19/0.42 % (20656)lrs+2_1:1_cnfonf=lazy_not_gen_be_off:cs=on:fe=off:hud=10:inj=on:ins=3:plsq=on:plsqc=1:sd=10:ss=axioms:tnu=1:i=6:si=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 0.19/0.42 % (20655)Termination reason: Unknown
% 0.19/0.42 % (20655)Termination phase: Saturation
% 0.19/0.42
% 0.19/0.42 % (20655)Memory used [KB]: 5500
% 0.19/0.42 % (20655)Time elapsed: 0.026 s
% 0.19/0.42 % (20655)Instructions burned: 5 (million)
% 0.19/0.42 % (20655)------------------------------
% 0.19/0.42 % (20655)------------------------------
% 0.19/0.42 % (20658)dis+1010_1:4_atotf=0.2:c=on:cbe=off:cnfonf=lazy_simp:fe=off:ins=2:ntd=on:s2a=on:s2at=5.0:sgt=5:ss=axioms:st=1.5:i=779:si=on:rtra=on_0 on theBenchmark for (2999ds/779Mi)
% 0.19/0.42 % (20657)lrs+1002_1:128_au=on:c=on:fsr=off:piset=equals:i=377:si=on:rtra=on_0 on theBenchmark for (2999ds/377Mi)
% 0.19/0.42 % (20657)Refutation not found, incomplete strategy
% 0.19/0.42 % (20657)------------------------------
% 0.19/0.42 % (20657)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.19/0.42 % (20657)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.42
% 0.19/0.42
% 0.19/0.42 % (20657)Memory used [KB]: 5500
% 0.19/0.42 % (20657)Time elapsed: 0.004 s
% 0.19/0.42 % (20657)Instructions burned: 2 (million)
% 0.19/0.42 % (20657)------------------------------
% 0.19/0.42 % (20657)------------------------------
% 0.19/0.43 % (20656)Instruction limit reached!
% 0.19/0.43 % (20656)------------------------------
% 0.19/0.43 % (20656)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.19/0.43 % (20656)Termination reason: Unknown
% 0.19/0.43 % (20656)Termination phase: Saturation
% 0.19/0.43
% 0.19/0.43 % (20656)Memory used [KB]: 5500
% 0.19/0.43 % (20656)Time elapsed: 0.007 s
% 0.19/0.43 % (20656)Instructions burned: 6 (million)
% 0.19/0.43 % (20656)------------------------------
% 0.19/0.43 % (20656)------------------------------
% 0.19/0.43 % (20654)Instruction limit reached!
% 0.19/0.43 % (20654)------------------------------
% 0.19/0.43 % (20654)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.19/0.43 % (20654)Termination reason: Unknown
% 0.19/0.43 % (20654)Termination phase: Saturation
% 0.19/0.43
% 0.19/0.43 % (20654)Memory used [KB]: 5628
% 0.19/0.43 % (20654)Time elapsed: 0.040 s
% 0.19/0.43 % (20654)Instructions burned: 22 (million)
% 0.19/0.43 % (20654)------------------------------
% 0.19/0.43 % (20654)------------------------------
% 0.19/0.43 % (20659)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 (2999ds/19Mi)
% 0.19/0.43 % (20659)Refutation not found, incomplete strategy
% 0.19/0.43 % (20659)------------------------------
% 0.19/0.43 % (20659)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.19/0.43 % (20659)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.43
% 0.19/0.43
% 0.19/0.43 % (20659)Memory used [KB]: 5500
% 0.19/0.43 % (20659)Time elapsed: 0.004 s
% 0.19/0.43 % (20659)Instructions burned: 2 (million)
% 0.19/0.43 % (20659)------------------------------
% 0.19/0.43 % (20659)------------------------------
% 0.19/0.44 % (20660)lrs+1010_1:1_au=on:s2a=on:sd=1:sgt=50:ss=axioms:i=879:si=on:rtra=on_0 on theBenchmark for (2999ds/879Mi)
% 0.19/0.44 % (20660)Refutation not found, incomplete strategy
% 0.19/0.44 % (20660)------------------------------
% 0.19/0.44 % (20660)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.19/0.44 % (20660)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.44
% 0.19/0.44
% 0.19/0.44 % (20660)Memory used [KB]: 5500
% 0.19/0.44 % (20660)Time elapsed: 0.003 s
% 0.19/0.44 % (20660)Instructions burned: 2 (million)
% 0.19/0.44 % (20660)------------------------------
% 0.19/0.44 % (20660)------------------------------
% 0.19/0.44 % (20661)dis+1002_1:128_acc=on:er=filter:i=17:si=on:rtra=on_0 on theBenchmark for (2999ds/17Mi)
% 0.19/0.44 % (20663)lrs+1010_1:8_cnfonf=off:hud=1:inj=on:tnu=5:i=30:si=on:rtra=on_0 on theBenchmark for (2999ds/30Mi)
% 0.19/0.45 % (20661)Instruction limit reached!
% 0.19/0.45 % (20661)------------------------------
% 0.19/0.45 % (20661)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.19/0.45 % (20661)Termination reason: Unknown
% 0.19/0.45 % (20661)Termination phase: Saturation
% 0.19/0.45
% 0.19/0.45 % (20661)Memory used [KB]: 5500
% 0.19/0.45 % (20661)Time elapsed: 0.012 s
% 0.19/0.45 % (20661)Instructions burned: 18 (million)
% 0.19/0.45 % (20661)------------------------------
% 0.19/0.45 % (20661)------------------------------
% 0.19/0.45 % (20664)dis+10_1:1_ixr=off:plsq=on:plsqc=1:plsqr=32,1:s2a=on:i=127:si=on:rtra=on_0 on theBenchmark for (2999ds/127Mi)
% 0.19/0.45 % (20662)ott+21_1:1_apa=on:au=on:cnfonf=off:sos=on:i=3:si=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.19/0.45 % (20665)lrs+1002_1:1_au=on:cbe=off:cnfonf=conj_eager:cond=on:hi=on:i=100:si=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.19/0.45 % (20662)Instruction limit reached!
% 0.19/0.45 % (20662)------------------------------
% 0.19/0.45 % (20662)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.19/0.45 % (20662)Termination reason: Unknown
% 0.19/0.45 % (20662)Termination phase: Saturation
% 0.19/0.45
% 0.19/0.45 % (20662)Memory used [KB]: 5500
% 0.19/0.45 % (20662)Time elapsed: 0.004 s
% 0.19/0.45 % (20662)Instructions burned: 3 (million)
% 0.19/0.45 % (20662)------------------------------
% 0.19/0.45 % (20662)------------------------------
% 0.19/0.45 % (20665)Refutation not found, incomplete strategy
% 0.19/0.45 % (20665)------------------------------
% 0.19/0.45 % (20665)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.19/0.45 % (20665)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.45
% 0.19/0.45
% 0.19/0.45 % (20665)Memory used [KB]: 5500
% 0.19/0.45 % (20665)Time elapsed: 0.003 s
% 0.19/0.45 % (20665)Instructions burned: 2 (million)
% 0.19/0.45 % (20665)------------------------------
% 0.19/0.45 % (20665)------------------------------
% 0.19/0.46 % (20631)Instruction limit reached!
% 0.19/0.46 % (20631)------------------------------
% 0.19/0.46 % (20631)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.19/0.46 % (20631)Termination reason: Unknown
% 0.19/0.46 % (20631)Termination phase: Saturation
% 0.19/0.46
% 0.19/0.46 % (20631)Memory used [KB]: 6012
% 0.19/0.46 % (20631)Time elapsed: 0.099 s
% 0.19/0.46 % (20631)Instructions burned: 183 (million)
% 0.19/0.46 % (20631)------------------------------
% 0.19/0.46 % (20631)------------------------------
% 0.19/0.46 % (20663)Instruction limit reached!
% 0.19/0.46 % (20663)------------------------------
% 0.19/0.46 % (20663)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.19/0.46 % (20663)Termination reason: Unknown
% 0.19/0.46 % (20663)Termination phase: Saturation
% 0.19/0.46
% 0.19/0.46 % (20663)Memory used [KB]: 5628
% 0.19/0.46 % (20663)Time elapsed: 0.019 s
% 0.19/0.46 % (20663)Instructions burned: 31 (million)
% 0.19/0.46 % (20663)------------------------------
% 0.19/0.46 % (20663)------------------------------
% 0.19/0.47 % (20667)lrs+10_8:1_au=on:avsq=on:e2e=on:ins=3:s2a=on:s2at=3.0:ss=axioms:i=20:si=on:rtra=on_0 on theBenchmark for (2999ds/20Mi)
% 0.19/0.47 % (20668)dis+1002_1:1_cbe=off:hud=5:nm=4:plsq=on:plsqr=7,1:prag=on:sp=const_max:tnu=1:i=86:si=on:rtra=on_0 on theBenchmark for (2999ds/86Mi)
% 0.19/0.47 % (20667)Refutation not found, incomplete strategy
% 0.19/0.47 % (20667)------------------------------
% 0.19/0.47 % (20667)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.19/0.47 % (20667)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.47
% 0.19/0.47
% 0.19/0.47 % (20667)Memory used [KB]: 5500
% 0.19/0.47 % (20667)Time elapsed: 0.004 s
% 0.19/0.47 % (20667)Instructions burned: 2 (million)
% 0.19/0.47 % (20667)------------------------------
% 0.19/0.47 % (20667)------------------------------
% 0.19/0.47 % (20666)dis+10_1:1_anc=none:cnfonf=lazy_gen:fd=preordered:fe=off:hud=10:ins=3:ixr=off:nwc=5.0:plsq=on:plsqc=1:plsqr=32,1:sp=const_frequency:uhcvi=on:i=3:si=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.19/0.47 % (20666)Instruction limit reached!
% 0.19/0.47 % (20666)------------------------------
% 0.19/0.47 % (20666)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.19/0.47 % (20666)Termination reason: Unknown
% 0.19/0.47 % (20666)Termination phase: Saturation
% 0.19/0.47
% 0.19/0.47 % (20666)Memory used [KB]: 5500
% 0.19/0.47 % (20666)Time elapsed: 0.003 s
% 0.19/0.47 % (20666)Instructions burned: 3 (million)
% 0.19/0.47 % (20666)------------------------------
% 0.19/0.47 % (20666)------------------------------
% 0.19/0.47 % (20668)Refutation not found, incomplete strategy
% 0.19/0.47 % (20668)------------------------------
% 0.19/0.47 % (20668)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.19/0.47 % (20668)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.47
% 0.19/0.47
% 0.19/0.47 % (20668)Memory used [KB]: 5500
% 0.19/0.47 % (20668)Time elapsed: 0.004 s
% 0.19/0.47 % (20668)Instructions burned: 3 (million)
% 0.19/0.47 % (20668)------------------------------
% 0.19/0.47 % (20668)------------------------------
% 0.19/0.47 % (20669)lrs+1010_1:1_au=on:cbe=off:nm=2:ntd=on:sd=2:ss=axioms:st=5.0:i=107:si=on:rtra=on_0 on theBenchmark for (2998ds/107Mi)
% 0.19/0.47 % (20669)Refutation not found, incomplete strategy
% 0.19/0.47 % (20669)------------------------------
% 0.19/0.47 % (20669)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.19/0.47 % (20669)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.47
% 0.19/0.47
% 0.19/0.47 % (20669)Memory used [KB]: 5500
% 0.19/0.47 % (20669)Time elapsed: 0.002 s
% 0.19/0.47 % (20669)Instructions burned: 2 (million)
% 0.19/0.47 % (20669)------------------------------
% 0.19/0.47 % (20669)------------------------------
% 0.19/0.48 % (20670)lrs+2_1:1024_cnfonf=lazy_gen:fe=off:hud=15:plsq=on:plsqc=1:plsqr=32,1:i=39:si=on:rtra=on_0 on theBenchmark for (2998ds/39Mi)
% 0.19/0.48 % (20672)lrs+10_1:512_au=on:fde=unused:lma=on:nm=32:plsq=on:plsqc=1:plsqr=16121663,131072:sfv=off:sp=const_max:ss=axioms:st=3.0:tgt=full:i=46:si=on:rtra=on_0 on theBenchmark for (2998ds/46Mi)
% 0.19/0.48 % (20671)dis+10_1:1_cnfonf=lazy_not_gen:fsr=off:kws=precedence:nwc=5.0:s2a=on:ss=axioms:st=1.5:i=448:si=on:rtra=on_0 on theBenchmark for (2998ds/448Mi)
% 0.19/0.48 % (20673)lrs+10_1:10_au=on:av=off:cbe=off:cnfonf=lazy_pi_sigma_gen:ntd=on:plsq=on:plsqc=1:plsqr=32,1:i=98:si=on:rtra=on_0 on theBenchmark for (2998ds/98Mi)
% 0.19/0.48 % (20673)Refutation not found, incomplete strategy
% 0.19/0.48 % (20673)------------------------------
% 0.19/0.48 % (20673)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.19/0.48 % (20673)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.48
% 0.19/0.48
% 0.19/0.48 % (20673)Memory used [KB]: 1023
% 0.19/0.48 % (20673)Time elapsed: 0.003 s
% 0.19/0.48 % (20674)ott+1002_1:1_apa=on:au=on:bd=off:cnfonf=off:fd=off:sos=on:sp=weighted_frequency:i=507:si=on:rtra=on_0 on theBenchmark for (2998ds/507Mi)
% 0.19/0.48 % (20673)Instructions burned: 4 (million)
% 0.19/0.48 % (20673)------------------------------
% 0.19/0.48 % (20673)------------------------------
% 0.19/0.49 % (20674)Refutation not found, incomplete strategy
% 0.19/0.49 % (20674)------------------------------
% 0.19/0.49 % (20674)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.19/0.49 % (20674)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.49
% 0.19/0.49
% 0.19/0.49 % (20674)Memory used [KB]: 5500
% 0.19/0.49 % (20674)Time elapsed: 0.002 s
% 0.19/0.49 % (20674)Instructions burned: 2 (million)
% 0.19/0.49 % (20674)------------------------------
% 0.19/0.49 % (20674)------------------------------
% 0.19/0.49 % (20664)Instruction limit reached!
% 0.19/0.49 % (20664)------------------------------
% 0.19/0.49 % (20664)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.19/0.49 % (20664)Termination reason: Unknown
% 0.19/0.49 % (20664)Termination phase: Saturation
% 0.19/0.49
% 0.19/0.49 % (20664)Memory used [KB]: 5756
% 0.19/0.49 % (20664)Time elapsed: 0.044 s
% 0.19/0.49 % (20664)Instructions burned: 127 (million)
% 0.19/0.49 % (20664)------------------------------
% 0.19/0.49 % (20664)------------------------------
% 0.19/0.49 % (20675)dis+1010_2:3_amm=off:fd=preordered:ixr=off:nm=0:pe=on:piset=equals:prag=on:sac=on:tgt=ground:i=149:si=on:rtra=on_0 on theBenchmark for (2998ds/149Mi)
% 0.19/0.49 % (20670)Instruction limit reached!
% 0.19/0.49 % (20670)------------------------------
% 0.19/0.49 % (20670)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.19/0.49 % (20670)Termination reason: Unknown
% 0.19/0.49 % (20670)Termination phase: Saturation
% 0.19/0.49
% 0.19/0.49 % (20670)Memory used [KB]: 5756
% 0.19/0.49 % (20670)Time elapsed: 0.020 s
% 0.19/0.49 % (20670)Instructions burned: 41 (million)
% 0.19/0.49 % (20670)------------------------------
% 0.19/0.49 % (20670)------------------------------
% 0.19/0.49 % (20675)Refutation not found, incomplete strategy
% 0.19/0.49 % (20675)------------------------------
% 0.19/0.49 % (20675)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.19/0.49 % (20675)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.49
% 0.19/0.49
% 0.19/0.49 % (20675)Memory used [KB]: 5500
% 0.19/0.49 % (20675)Time elapsed: 0.002 s
% 0.19/0.49 % (20675)Instructions burned: 3 (million)
% 0.19/0.49 % (20675)------------------------------
% 0.19/0.49 % (20675)------------------------------
% 0.19/0.49 % (20676)lrs+21_1:16_au=on:bd=off:piset=and:i=39:si=on:rtra=on_0 on theBenchmark for (2998ds/39Mi)
% 0.19/0.50 % (20676)Refutation not found, incomplete strategy
% 0.19/0.50 % (20676)------------------------------
% 0.19/0.50 % (20676)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.19/0.50 % (20676)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.50
% 0.19/0.50
% 0.19/0.50 % (20676)Memory used [KB]: 5500
% 0.19/0.50 % (20676)Time elapsed: 0.001 s
% 0.19/0.50 % (20676)Instructions burned: 1 (million)
% 0.19/0.50 % (20676)------------------------------
% 0.19/0.50 % (20676)------------------------------
% 0.19/0.50 % (20672)Instruction limit reached!
% 0.19/0.50 % (20672)------------------------------
% 0.19/0.50 % (20672)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.19/0.50 % (20672)Termination reason: Unknown
% 0.19/0.50 % (20672)Termination phase: Saturation
% 0.19/0.50
% 0.19/0.50 % (20672)Memory used [KB]: 5628
% 0.19/0.50 % (20672)Time elapsed: 0.020 s
% 0.19/0.50 % (20672)Instructions burned: 47 (million)
% 0.19/0.50 % (20672)------------------------------
% 0.19/0.50 % (20672)------------------------------
% 0.19/0.50 % (20677)lrs+1004_1:1_cnfonf=lazy_pi_sigma_gen:fe=off:gs=on:hud=10:prag=on:tnu=1:i=6:si=on:rtra=on_0 on theBenchmark for (2998ds/6Mi)
% 0.19/0.50 % (20677)Instruction limit reached!
% 0.19/0.50 % (20677)------------------------------
% 0.19/0.50 % (20677)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.19/0.50 % (20677)Termination reason: Unknown
% 0.19/0.50 % (20677)Termination phase: Saturation
% 0.19/0.50
% 0.19/0.50 % (20677)Memory used [KB]: 9978
% 0.19/0.50 % (20677)Time elapsed: 0.004 s
% 0.19/0.50 % (20679)dis+10_1:1_aac=none:cs=on:i=47:si=on:rtra=on_0 on theBenchmark for (2998ds/47Mi)
% 0.19/0.50 % (20677)Instructions burned: 6 (million)
% 0.19/0.50 % (20677)------------------------------
% 0.19/0.50 % (20677)------------------------------
% 0.19/0.51 % (20680)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)
% 0.19/0.51 % (20681)dis+10_1:1_av=off:bd=off:cnfonf=lazy_gen:fe=off:hud=10:plsq=on:plsqc=1:plsqr=32,1:prag=on:tnu=1:i=432:si=on:rtra=on_0 on theBenchmark for (2998ds/432Mi)
% 0.19/0.51 % (20678)dis+1002_1:1_aac=none:au=on:e2e=on:nm=2:nwc=10.0:sd=1:ss=axioms:st=3.0:i=1087:si=on:rtra=on_0 on theBenchmark for (2998ds/1087Mi)
% 0.19/0.51 % (20682)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)
% 0.19/0.51 % (20678)Refutation not found, incomplete strategy
% 0.19/0.51 % (20678)------------------------------
% 0.19/0.51 % (20678)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.19/0.51 % (20678)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.51
% 0.19/0.51
% 0.19/0.51 % (20678)Memory used [KB]: 5500
% 0.19/0.51 % (20678)Time elapsed: 0.002 s
% 0.19/0.51 % (20678)Instructions burned: 1 (million)
% 0.19/0.51 % (20678)------------------------------
% 0.19/0.51 % (20678)------------------------------
% 0.19/0.51 % (20681)Refutation not found, incomplete strategy
% 0.19/0.51 % (20681)------------------------------
% 0.19/0.51 % (20681)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.19/0.51 % (20681)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.51
% 0.19/0.51
% 0.19/0.51 % (20681)Memory used [KB]: 1151
% 0.19/0.51 % (20681)Time elapsed: 0.007 s
% 0.19/0.51 % (20681)Instructions burned: 18 (million)
% 0.19/0.51 % (20681)------------------------------
% 0.19/0.51 % (20681)------------------------------
% 1.40/0.52 % (20683)lrs+1010_1:16_add=large:amm=off:anc=all_dependent:chr=on:fd=off:ins=2:sp=const_max:tnu=5:uhcvi=on:i=31:si=on:rtra=on_0 on theBenchmark for (2998ds/31Mi)
% 1.40/0.52 % (20684)dis+10_1:128_hud=1:i=96:si=on:rtra=on_0 on theBenchmark for (2998ds/96Mi)
% 1.40/0.52 % (20680)Instruction limit reached!
% 1.40/0.52 % (20680)------------------------------
% 1.40/0.52 % (20680)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.40/0.52 % (20680)Termination reason: Unknown
% 1.40/0.52 % (20680)Termination phase: Saturation
% 1.40/0.52
% 1.40/0.52 % (20680)Memory used [KB]: 1151
% 1.40/0.52 % (20680)Time elapsed: 0.017 s
% 1.40/0.52 % (20680)Instructions burned: 47 (million)
% 1.40/0.52 % (20680)------------------------------
% 1.40/0.52 % (20680)------------------------------
% 1.40/0.53 % (20683)Instruction limit reached!
% 1.40/0.53 % (20683)------------------------------
% 1.40/0.53 % (20683)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.40/0.53 % (20683)Termination reason: Unknown
% 1.40/0.53 % (20683)Termination phase: Saturation
% 1.40/0.53
% 1.40/0.53 % (20683)Memory used [KB]: 5628
% 1.40/0.53 % (20683)Time elapsed: 0.011 s
% 1.40/0.53 % (20683)Instructions burned: 32 (million)
% 1.40/0.53 % (20683)------------------------------
% 1.40/0.53 % (20683)------------------------------
% 1.40/0.53 % (20679)Instruction limit reached!
% 1.40/0.53 % (20679)------------------------------
% 1.40/0.53 % (20679)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.40/0.53 % (20679)Termination reason: Unknown
% 1.40/0.53 % (20679)Termination phase: Saturation
% 1.40/0.53
% 1.40/0.53 % (20679)Memory used [KB]: 5628
% 1.40/0.53 % (20679)Time elapsed: 0.043 s
% 1.40/0.53 % (20679)Instructions burned: 49 (million)
% 1.40/0.53 % (20679)------------------------------
% 1.40/0.53 % (20679)------------------------------
% 1.40/0.53 % (20682)Instruction limit reached!
% 1.40/0.53 % (20682)------------------------------
% 1.40/0.53 % (20682)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.40/0.53 % (20682)Termination reason: Unknown
% 1.40/0.53 % (20682)Termination phase: Saturation
% 1.40/0.53
% 1.40/0.53 % (20682)Memory used [KB]: 5756
% 1.40/0.53 % (20682)Time elapsed: 0.021 s
% 1.40/0.53 % (20682)Instructions burned: 64 (million)
% 1.40/0.53 % (20682)------------------------------
% 1.40/0.53 % (20682)------------------------------
% 1.40/0.53 % (20685)lrs+1002_1:4_au=on:cbe=off:cnfonf=lazy_pi_sigma_gen:hud=15:inj=on:nwc=4.0:s2a=on:sac=on:sp=reverse_arity:i=453:si=on:rtra=on_0 on theBenchmark for (2998ds/453Mi)
% 1.40/0.53 % (20685)Refutation not found, incomplete strategy
% 1.40/0.53 % (20685)------------------------------
% 1.40/0.53 % (20685)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.40/0.53 % (20685)Termination reason: Refutation not found, incomplete strategy
% 1.40/0.53
% 1.40/0.54
% 1.40/0.54 % (20685)Memory used [KB]: 5500
% 1.40/0.54 % (20685)Time elapsed: 0.003 s
% 1.40/0.54 % (20685)Instructions burned: 5 (million)
% 1.40/0.54 % (20685)------------------------------
% 1.40/0.54 % (20685)------------------------------
% 1.56/0.54 % (20686)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 (2998ds/71Mi)
% 1.56/0.54 % (20687)dis+1002_1:1_bd=off:fsr=off:ntd=on:s2a=on:ss=axioms:i=83:si=on:rtra=on_0 on theBenchmark for (2998ds/83Mi)
% 1.56/0.54 % (20688)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)
% 1.56/0.54 % (20688)Instruction limit reached!
% 1.56/0.54 % (20688)------------------------------
% 1.56/0.54 % (20688)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.56/0.54 % (20688)Termination reason: Unknown
% 1.56/0.54 % (20688)Termination phase: Saturation
% 1.56/0.54
% 1.56/0.54 % (20688)Memory used [KB]: 5500
% 1.56/0.54 % (20688)Time elapsed: 0.005 s
% 1.56/0.54 % (20688)Instructions burned: 12 (million)
% 1.56/0.54 % (20688)------------------------------
% 1.56/0.54 % (20688)------------------------------
% 1.56/0.55 % (20689)lrs+1010_1:1_au=on:cbe=off:cnfonf=lazy_not_gen_be_off:fsr=off:spb=non_intro:i=41:si=on:rtra=on_0 on theBenchmark for (2998ds/41Mi)
% 1.56/0.55 % (20689)Refutation not found, incomplete strategy
% 1.56/0.55 % (20689)------------------------------
% 1.56/0.55 % (20689)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.56/0.55 % (20689)Termination reason: Refutation not found, incomplete strategy
% 1.56/0.55
% 1.56/0.55
% 1.56/0.55 % (20689)Memory used [KB]: 5500
% 1.56/0.55 % (20689)Time elapsed: 0.004 s
% 1.56/0.55 % (20689)Instructions burned: 4 (million)
% 1.56/0.55 % (20689)------------------------------
% 1.56/0.55 % (20689)------------------------------
% 1.56/0.55 % (20690)lrs+1004_1:1_chr=on:prag=on:i=6:si=on:rtra=on_0 on theBenchmark for (2998ds/6Mi)
% 1.56/0.55 % (20684)Instruction limit reached!
% 1.56/0.55 % (20684)------------------------------
% 1.56/0.55 % (20684)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.56/0.55 % (20684)Termination reason: Unknown
% 1.56/0.55 % (20684)Termination phase: Saturation
% 1.56/0.55
% 1.56/0.55 % (20684)Memory used [KB]: 5628
% 1.56/0.55 % (20684)Time elapsed: 0.031 s
% 1.56/0.55 % (20684)Instructions burned: 96 (million)
% 1.56/0.55 % (20684)------------------------------
% 1.56/0.55 % (20684)------------------------------
% 1.56/0.55 % (20690)Refutation not found, incomplete strategy
% 1.56/0.55 % (20690)------------------------------
% 1.56/0.55 % (20690)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.56/0.55 % (20690)Termination reason: Refutation not found, incomplete strategy
% 1.56/0.55
% 1.56/0.55
% 1.56/0.55 % (20690)Memory used [KB]: 5500
% 1.56/0.55 % (20690)Time elapsed: 0.002 s
% 1.56/0.55 % (20690)Instructions burned: 3 (million)
% 1.56/0.55 % (20690)------------------------------
% 1.56/0.55 % (20690)------------------------------
% 1.56/0.56 % (20691)dis+10_1:1_avsq=on:cnfonf=off:e2e=on:nm=32:i=150:si=on:rtra=on_0 on theBenchmark for (2997ds/150Mi)
% 1.56/0.56 % (20693)ott+1010_1:4_cbe=off:chr=on:hfsq=on:hfsqr=1,16:hud=3:sac=on:sp=unary_frequency:ss=axioms:st=5.0:tnu=2:i=109:si=on:rtra=on_0 on theBenchmark for (2997ds/109Mi)
% 1.56/0.56 % (20687)Instruction limit reached!
% 1.56/0.56 % (20687)------------------------------
% 1.56/0.56 % (20687)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.56/0.56 % (20687)Termination reason: Unknown
% 1.56/0.56 % (20687)Termination phase: Saturation
% 1.56/0.56
% 1.56/0.56 % (20687)Memory used [KB]: 5628
% 1.56/0.56 % (20687)Time elapsed: 0.026 s
% 1.56/0.56 % (20687)Instructions burned: 83 (million)
% 1.56/0.56 % (20687)------------------------------
% 1.56/0.56 % (20687)------------------------------
% 1.56/0.56 % (20686)Instruction limit reached!
% 1.56/0.56 % (20686)------------------------------
% 1.56/0.56 % (20686)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.56/0.56 % (20686)Termination reason: Unknown
% 1.56/0.56 % (20686)Termination phase: Saturation
% 1.56/0.56
% 1.56/0.56 % (20686)Memory used [KB]: 5756
% 1.56/0.56 % (20686)Time elapsed: 0.027 s
% 1.56/0.56 % (20686)Instructions burned: 72 (million)
% 1.56/0.56 % (20686)------------------------------
% 1.56/0.56 % (20686)------------------------------
% 1.56/0.57 % (20692)ott+1010_1:1_au=on:s2a=on:sd=7:ss=axioms:st=1.5:i=343:si=on:rtra=on_0 on theBenchmark for (2997ds/343Mi)
% 1.56/0.57 % (20692)Refutation not found, incomplete strategy
% 1.56/0.57 % (20692)------------------------------
% 1.56/0.57 % (20692)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.56/0.57 % (20692)Termination reason: Refutation not found, incomplete strategy
% 1.56/0.57
% 1.56/0.57
% 1.56/0.57 % (20692)Memory used [KB]: 5500
% 1.56/0.57 % (20692)Time elapsed: 0.003 s
% 1.56/0.57 % (20692)Instructions burned: 2 (million)
% 1.56/0.57 % (20692)------------------------------
% 1.56/0.57 % (20692)------------------------------
% 1.56/0.57 % (20694)dis+10_1:1_au=on:c=on:e2e=on:fsr=off:sos=all:sp=const_frequency:ss=axioms:i=253:si=on:rtra=on_0 on theBenchmark for (2997ds/253Mi)
% 1.56/0.57 % (20695)lrs+10_1:1_au=on:cnfonf=off:sd=1:sgt=16:ss=axioms:i=140:si=on:rtra=on_0 on theBenchmark for (2997ds/140Mi)
% 1.56/0.57 % (20695)Refutation not found, incomplete strategy
% 1.56/0.57 % (20695)------------------------------
% 1.56/0.57 % (20695)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.56/0.57 % (20695)Termination reason: Refutation not found, incomplete strategy
% 1.56/0.57
% 1.56/0.57
% 1.56/0.57 % (20695)Memory used [KB]: 5500
% 1.56/0.57 % (20694)Refutation not found, incomplete strategy
% 1.56/0.57 % (20694)------------------------------
% 1.56/0.57 % (20694)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.56/0.57 % (20695)Time elapsed: 0.001 s
% 1.56/0.57 % (20695)Instructions burned: 1 (million)
% 1.56/0.57 % (20695)------------------------------
% 1.56/0.57 % (20695)------------------------------
% 1.56/0.57 % (20694)Termination reason: Refutation not found, incomplete strategy
% 1.56/0.57
% 1.56/0.57
% 1.56/0.57 % (20694)Memory used [KB]: 5500
% 1.56/0.57 % (20694)Time elapsed: 0.002 s
% 1.56/0.57 % (20694)Instructions burned: 3 (million)
% 1.56/0.57 % (20694)------------------------------
% 1.56/0.57 % (20694)------------------------------
% 1.56/0.58 % (20697)lrs+1002_1:1_e2e=on:fde=unused:fe=axiom:prag=on:sd=1:sos=on:ss=axioms:st=2.0:i=202:si=on:rtra=on_0 on theBenchmark for (2997ds/202Mi)
% 1.56/0.58 % (20698)dis+1002_1:1_au=on:cs=on:ins=3:kws=inv_frequency:nwc=10.0:ss=axioms:st=3.0:i=339:si=on:rtra=on_0 on theBenchmark for (2997ds/339Mi)
% 1.56/0.58 % (20696)dis+1010_16:1_acc=model:au=on:avsq=on:cond=fast:plsq=on:plsqc=2:plsqr=9267,262144:i=614:si=on:rtra=on_0 on theBenchmark for (2997ds/614Mi)
% 1.56/0.58 % (20697)Refutation not found, incomplete strategy
% 1.56/0.58 % (20697)------------------------------
% 1.56/0.58 % (20697)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.56/0.58 % (20697)Termination reason: Refutation not found, incomplete strategy
% 1.56/0.58
% 1.56/0.58
% 1.56/0.58 % (20697)Memory used [KB]: 5500
% 1.56/0.58 % (20697)Time elapsed: 0.002 s
% 1.56/0.58 % (20697)Instructions burned: 3 (million)
% 1.56/0.58 % (20697)------------------------------
% 1.56/0.58 % (20697)------------------------------
% 1.56/0.58 % (20698)Refutation not found, incomplete strategy
% 1.56/0.58 % (20698)------------------------------
% 1.56/0.58 % (20698)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.56/0.58 % (20698)Termination reason: Refutation not found, incomplete strategy
% 1.56/0.58
% 1.56/0.58
% 1.56/0.58 % (20698)Memory used [KB]: 5500
% 1.56/0.58 % (20698)Time elapsed: 0.002 s
% 1.56/0.58 % (20698)Instructions burned: 2 (million)
% 1.56/0.58 % (20698)------------------------------
% 1.56/0.58 % (20698)------------------------------
% 1.56/0.58 % (20696)Refutation not found, incomplete strategy
% 1.56/0.58 % (20696)------------------------------
% 1.56/0.58 % (20696)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.56/0.58 % (20696)Termination reason: Refutation not found, incomplete strategy
% 1.56/0.58
% 1.56/0.58
% 1.56/0.58 % (20696)Memory used [KB]: 5500
% 1.56/0.58 % (20696)Time elapsed: 0.003 s
% 1.56/0.58 % (20696)Instructions burned: 2 (million)
% 1.56/0.58 % (20696)------------------------------
% 1.56/0.58 % (20696)------------------------------
% 1.56/0.59 % (20699)dis+10_1:1_anc=none:cnfonf=lazy_gen:fd=preordered:fe=off:hud=10:ins=3:ixr=off:nwc=5.0:plsq=on:plsqc=1:plsqr=32,1:sp=const_frequency:uhcvi=on:i=283:si=on:rtra=on_0 on theBenchmark for (2997ds/283Mi)
% 1.56/0.59 % (20701)dis+1010_1:64_cnfonf=lazy_simp:fd=off:i=298:si=on:rtra=on_0 on theBenchmark for (2997ds/298Mi)
% 1.56/0.59 % (20693)Instruction limit reached!
% 1.56/0.59 % (20693)------------------------------
% 1.56/0.59 % (20693)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.56/0.59 % (20693)Termination reason: Unknown
% 1.56/0.59 % (20693)Termination phase: Saturation
% 1.56/0.59
% 1.56/0.59 % (20693)Memory used [KB]: 5756
% 1.56/0.59 % (20693)Time elapsed: 0.034 s
% 1.56/0.59 % (20693)Instructions burned: 110 (million)
% 1.56/0.59 % (20693)------------------------------
% 1.56/0.59 % (20693)------------------------------
% 1.56/0.60 % (20700)dis+2_1:1_cha=on:hud=7:nwc=3.0:prag=on:tnu=2:i=134:si=on:rtra=on_0 on theBenchmark for (2997ds/134Mi)
% 1.56/0.60 % (20691)Instruction limit reached!
% 1.56/0.60 % (20691)------------------------------
% 1.56/0.60 % (20691)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.56/0.60 % (20691)Termination reason: Unknown
% 1.56/0.60 % (20691)Termination phase: Saturation
% 1.56/0.60
% 1.56/0.60 % (20691)Memory used [KB]: 5884
% 1.56/0.60 % (20691)Time elapsed: 0.045 s
% 1.56/0.60 % (20691)Instructions burned: 151 (million)
% 1.56/0.60 % (20691)------------------------------
% 1.56/0.60 % (20691)------------------------------
% 1.56/0.60 % (20702)lrs+2_1:8_erd=off:plsq=on:plsqr=32,1:sos=on:i=192:si=on:rtra=on_0 on theBenchmark for (2997ds/192Mi)
% 1.56/0.61 % (20703)lrs+10_1:1_bd=off:hud=1:nm=0:prag=on:sd=2:sgt=32:sos=all:ss=axioms:i=258:si=on:rtra=on_0 on theBenchmark for (2997ds/258Mi)
% 1.56/0.61 % (20703)Refutation not found, incomplete strategy
% 1.56/0.61 % (20703)------------------------------
% 1.56/0.61 % (20703)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.56/0.61 % (20703)Termination reason: Refutation not found, incomplete strategy
% 1.56/0.61
% 1.56/0.61
% 1.56/0.61 % (20703)Memory used [KB]: 5500
% 1.56/0.61 % (20703)Time elapsed: 0.002 s
% 1.56/0.61 % (20703)Instructions burned: 2 (million)
% 1.56/0.61 % (20703)------------------------------
% 1.56/0.61 % (20703)------------------------------
% 1.56/0.61 % (20671)Instruction limit reached!
% 1.56/0.61 % (20671)------------------------------
% 1.56/0.61 % (20671)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.56/0.61 % (20671)Termination reason: Unknown
% 1.56/0.61 % (20671)Termination phase: Saturation
% 1.56/0.61
% 1.56/0.61 % (20671)Memory used [KB]: 6268
% 1.56/0.61 % (20671)Time elapsed: 0.135 s
% 1.56/0.61 % (20671)Instructions burned: 448 (million)
% 1.56/0.61 % (20671)------------------------------
% 1.56/0.61 % (20671)------------------------------
% 1.56/0.62 % (20704)lrs+1002_1:1024_au=on:cond=fast:ntd=on:piset=and:plsq=on:plsqc=1:plsqr=183491,1048576:sac=on:tgt=ground:i=90:si=on:rtra=on_0 on theBenchmark for (2997ds/90Mi)
% 1.56/0.62 % (20705)dis+1004_16:1_avsq=on:avsqr=1,16:cnfonf=lazy_gen:cs=on:fe=off:tgt=ground:tnu=1:i=231:si=on:rtra=on_0 on theBenchmark for (2997ds/231Mi)
% 1.56/0.62 % (20704)Refutation not found, incomplete strategy
% 1.56/0.62 % (20704)------------------------------
% 1.56/0.62 % (20704)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.56/0.62 % (20704)Termination reason: Refutation not found, incomplete strategy
% 1.56/0.62
% 1.56/0.62
% 1.56/0.62 % (20704)Memory used [KB]: 5500
% 1.56/0.62 % (20704)Time elapsed: 0.002 s
% 1.56/0.62 % (20704)Instructions burned: 1 (million)
% 1.56/0.62 % (20704)------------------------------
% 1.56/0.62 % (20704)------------------------------
% 2.17/0.63 % (20658)Instruction limit reached!
% 2.17/0.63 % (20658)------------------------------
% 2.17/0.63 % (20658)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.17/0.63 % (20658)Termination reason: Unknown
% 2.17/0.63 % (20658)Termination phase: Saturation
% 2.17/0.63
% 2.17/0.63 % (20658)Memory used [KB]: 6524
% 2.17/0.63 % (20658)Time elapsed: 0.211 s
% 2.17/0.63 % (20658)Instructions burned: 782 (million)
% 2.17/0.63 % (20658)------------------------------
% 2.17/0.63 % (20658)------------------------------
% 2.17/0.63 % (20706)lrs+1002_1:1_au=on:s2a=on:sgt=32:slsq=on:slsqc=1:slsql=off:ss=axioms:i=458:si=on:rtra=on_0 on theBenchmark for (2997ds/458Mi)
% 2.17/0.63 % (20706)Refutation not found, incomplete strategy
% 2.17/0.63 % (20706)------------------------------
% 2.17/0.63 % (20706)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.17/0.63 % (20706)Termination reason: Refutation not found, incomplete strategy
% 2.17/0.63
% 2.17/0.63
% 2.17/0.63 % (20706)Memory used [KB]: 5500
% 2.17/0.63 % (20706)Time elapsed: 0.002 s
% 2.17/0.63 % (20706)Instructions burned: 2 (million)
% 2.17/0.63 % (20706)------------------------------
% 2.17/0.63 % (20706)------------------------------
% 2.17/0.64 % (20707)lrs+1010_1:16_add=large:amm=off:anc=all_dependent:chr=on:fd=off:ins=2:sp=const_max:tnu=5:uhcvi=on:i=31:si=on:rtra=on_0 on theBenchmark for (2997ds/31Mi)
% 2.17/0.64 % (20708)lrs+10_1:1_cnfonf=lazy_gen:kws=inv_precedence:nwc=10.0:s2a=on:sp=weighted_frequency:ss=axioms:i=297:si=on:rtra=on_0 on theBenchmark for (2997ds/297Mi)
% 2.17/0.65 % (20707)Instruction limit reached!
% 2.17/0.65 % (20707)------------------------------
% 2.17/0.65 % (20707)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.17/0.65 % (20707)Termination reason: Unknown
% 2.17/0.65 % (20707)Termination phase: Saturation
% 2.17/0.65
% 2.17/0.65 % (20707)Memory used [KB]: 5628
% 2.17/0.65 % (20707)Time elapsed: 0.010 s
% 2.17/0.65 % (20651)Instruction limit reached!
% 2.17/0.65 % (20651)------------------------------
% 2.17/0.65 % (20651)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.17/0.65 % (20707)Instructions burned: 31 (million)
% 2.17/0.65 % (20707)------------------------------
% 2.17/0.65 % (20707)------------------------------
% 2.17/0.65 % (20651)Termination reason: Unknown
% 2.17/0.65 % (20651)Termination phase: Saturation
% 2.17/0.65
% 2.17/0.65 % (20651)Memory used [KB]: 6524
% 2.17/0.65 % (20651)Time elapsed: 0.264 s
% 2.17/0.65 % (20651)Instructions burned: 712 (million)
% 2.17/0.65 % (20651)------------------------------
% 2.17/0.65 % (20651)------------------------------
% 2.17/0.65 % (20700)Instruction limit reached!
% 2.17/0.65 % (20700)------------------------------
% 2.17/0.65 % (20700)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.17/0.65 % (20700)Termination reason: Unknown
% 2.17/0.65 % (20700)Termination phase: Saturation
% 2.17/0.65
% 2.17/0.65 % (20700)Memory used [KB]: 6268
% 2.17/0.65 % (20700)Time elapsed: 0.052 s
% 2.17/0.65 % (20700)Instructions burned: 134 (million)
% 2.17/0.65 % (20700)------------------------------
% 2.17/0.65 % (20700)------------------------------
% 2.17/0.66 % (20709)dis+2_1:4_amm=off:au=on:cbe=off:cnfonf=lazy_gen:hfaw=0:hfsq=on:hfsql=off:plsq=on:plsqc=1:plsqr=35,4:sac=on:i=987:si=on:rtra=on_0 on theBenchmark for (2997ds/987Mi)
% 2.17/0.66 % (20710)lrs+10_1:1024_avsq=on:avsqc=4:avsqr=584411,1048576:bd=off:bet=on:br=off:chr=on:fsd=on:fsdmm=1:hud=10:nm=0:ntd=on:nwc=9.0:piset=or:plsq=on:plsqc=2:plsql=on:plsqr=852219,1048576:rawr=on:sp=const_frequency:spb=units:i=182:si=on:rtra=on_0 on theBenchmark for (2997ds/182Mi)
% 2.17/0.66 % (20711)dis+10_1:1_au=on:e2e=on:fde=none:nwc=10.0:s2a=on:s2at=2.0:i=182:si=on:rtra=on_0 on theBenchmark for (2997ds/182Mi)
% 2.17/0.66 % (20709)Refutation not found, incomplete strategy
% 2.17/0.66 % (20709)------------------------------
% 2.17/0.66 % (20709)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.17/0.66 % (20709)Termination reason: Refutation not found, incomplete strategy
% 2.17/0.66
% 2.17/0.66
% 2.17/0.66 % (20709)Memory used [KB]: 5500
% 2.17/0.66 % (20709)Time elapsed: 0.004 s
% 2.17/0.66 % (20709)Instructions burned: 8 (million)
% 2.17/0.66 % (20709)------------------------------
% 2.17/0.66 % (20709)------------------------------
% 2.17/0.66 % (20711)Refutation not found, incomplete strategy
% 2.17/0.66 % (20711)------------------------------
% 2.17/0.66 % (20711)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.17/0.66 % (20711)Termination reason: Refutation not found, incomplete strategy
% 2.17/0.66
% 2.17/0.66
% 2.17/0.66 % (20711)Memory used [KB]: 5500
% 2.17/0.66 % (20711)Time elapsed: 0.002 s
% 2.17/0.66 % (20711)Instructions burned: 2 (million)
% 2.17/0.66 % (20711)------------------------------
% 2.17/0.66 % (20711)------------------------------
% 2.17/0.66 % (20702)Instruction limit reached!
% 2.17/0.66 % (20702)------------------------------
% 2.17/0.66 % (20702)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.17/0.66 % (20702)Termination reason: Unknown
% 2.17/0.66 % (20702)Termination phase: Saturation
% 2.17/0.66
% 2.17/0.66 % (20702)Memory used [KB]: 5884
% 2.17/0.66 % (20702)Time elapsed: 0.058 s
% 2.17/0.66 % (20702)Instructions burned: 194 (million)
% 2.17/0.66 % (20702)------------------------------
% 2.17/0.66 % (20702)------------------------------
% 2.17/0.67 % (20712)dis+10_1:8_cha=on:cnfonf=lazy_pi_sigma_gen:fe=axiom:hud=5:plsq=on:plsqr=32,1:prag=on:sos=all:i=154:si=on:rtra=on_0 on theBenchmark for (2996ds/154Mi)
% 2.17/0.67 % (20713)dis+1003_1:64_atotf=0.4:au=on:fsr=off:hflw=5:hfsq=on:hfsqc=20:hfsql=off:plsq=on:plsqc=1:plsqr=32,1:i=79:si=on:rtra=on_0 on theBenchmark for (2996ds/79Mi)
% 2.17/0.67 % (20714)dis+1010_5:2_anc=all_dependent:awrs=converge:bd=off:bet=on:c=on:cha=on:cnfonf=lazy_not_gen_be_off:fe=axiom:hud=5:kws=precedence:piset=and:prag=on:s2a=on:sac=on:slsq=on:slsqc=1:sp=reverse_arity:ss=axioms:st=1.5:i=216:si=on:rtra=on_0 on theBenchmark for (2996ds/216Mi)
% 2.17/0.67 % (20713)Refutation not found, incomplete strategy
% 2.17/0.67 % (20713)------------------------------
% 2.17/0.67 % (20713)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.17/0.67 % (20713)Termination reason: Refutation not found, incomplete strategy
% 2.17/0.67
% 2.17/0.67
% 2.17/0.67 % (20713)Memory used [KB]: 5500
% 2.17/0.67 % (20713)Time elapsed: 0.002 s
% 2.17/0.67 % (20713)Instructions burned: 2 (million)
% 2.17/0.67 % (20713)------------------------------
% 2.17/0.67 % (20713)------------------------------
% 2.17/0.67 % (20714)Refutation not found, incomplete strategy
% 2.17/0.67 % (20714)------------------------------
% 2.17/0.67 % (20714)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.17/0.67 % (20714)Termination reason: Refutation not found, incomplete strategy
% 2.17/0.67
% 2.17/0.67
% 2.17/0.67 % (20714)Memory used [KB]: 5500
% 2.17/0.67 % (20714)Time elapsed: 0.003 s
% 2.17/0.67 % (20714)Instructions burned: 5 (million)
% 2.17/0.67 % (20714)------------------------------
% 2.17/0.67 % (20714)------------------------------
% 2.17/0.68 % (20705)First to succeed.
% 2.17/0.68 % (20715)lrs+1002_1:1_fe=off:hud=10:ins=2:sac=on:sp=const_frequency:i=114:si=on:rtra=on_0 on theBenchmark for (2996ds/114Mi)
% 2.17/0.68 % (20716)dis+1002_1:1_acc=on:au=on:bd=off:e2e=on:sgt=8:ss=axioms:i=922:si=on:rtra=on_0 on theBenchmark for (2996ds/922Mi)
% 2.17/0.68 % (20716)Refutation not found, incomplete strategy
% 2.17/0.68 % (20716)------------------------------
% 2.17/0.68 % (20716)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.17/0.68 % (20716)Termination reason: Refutation not found, incomplete strategy
% 2.17/0.68
% 2.17/0.68
% 2.17/0.68 % (20716)Memory used [KB]: 5500
% 2.17/0.68 % (20716)Time elapsed: 0.002 s
% 2.17/0.68 % (20716)Instructions burned: 2 (million)
% 2.17/0.68 % (20716)------------------------------
% 2.17/0.68 % (20716)------------------------------
% 2.17/0.68 % (20701)Instruction limit reached!
% 2.17/0.68 % (20701)------------------------------
% 2.17/0.68 % (20701)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.17/0.68 % (20701)Termination reason: Unknown
% 2.17/0.68 % (20701)Termination phase: Saturation
% 2.17/0.68
% 2.17/0.68 % (20701)Memory used [KB]: 6140
% 2.17/0.68 % (20701)Time elapsed: 0.090 s
% 2.17/0.68 % (20701)Instructions burned: 300 (million)
% 2.17/0.68 % (20701)------------------------------
% 2.17/0.68 % (20701)------------------------------
% 2.17/0.68 % (20699)Instruction limit reached!
% 2.17/0.68 % (20699)------------------------------
% 2.17/0.68 % (20699)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.17/0.68 % (20699)Termination reason: Unknown
% 2.17/0.68 % (20699)Termination phase: Saturation
% 2.17/0.68
% 2.17/0.68 % (20699)Memory used [KB]: 6140
% 2.17/0.68 % (20699)Time elapsed: 0.091 s
% 2.17/0.68 % (20699)Instructions burned: 283 (million)
% 2.17/0.68 % (20699)------------------------------
% 2.17/0.68 % (20699)------------------------------
% 2.17/0.69 % (20717)lrs+10_1:128_au=on:bd=off:cnfonf=lazy_not_gen_be_off:nwc=10.0:piset=and:i=182:si=on:rtra=on_0 on theBenchmark for (2996ds/182Mi)
% 2.60/0.69 % (20718)ott+1010_1:1024_au=on:av=off:c=on:cnfonf=conj_eager:piset=equals:s2a=on:sp=occurrence:spb=units:ss=axioms:i=164:si=on:rtra=on_0 on theBenchmark for (2996ds/164Mi)
% 2.60/0.69 % (20705)Refutation found. Thanks to Tanya!
% 2.60/0.69 % SZS status Theorem for theBenchmark
% 2.60/0.69 % SZS output start Proof for theBenchmark
% 2.60/0.69 thf(func_def_11, type, sF0: ((($i > $i > $o) > $i) > $o) > $o).
% 2.60/0.69 thf(func_def_12, type, sF1: (($i > $i > $o) > $o) > $o).
% 2.60/0.69 thf(func_def_13, type, sF2: ($i > $o) > $o).
% 2.60/0.69 thf(func_def_14, type, sF3: (($i > $i > $o) > $i) > $o).
% 2.60/0.69 thf(func_def_18, type, ph7: !>[X0: $tType]:(X0)).
% 2.60/0.69 thf(func_def_19, type, sK8: ($i > $o) > $i).
% 2.60/0.69 thf(func_def_20, type, sK9: (($i > $i > $o) > $o) > $i > $i > $o).
% 2.60/0.69 thf(func_def_21, type, sK10: ((($i > $i > $o) > $i) > $o) > ($i > $i > $o) > $i).
% 2.60/0.69 thf(func_def_23, type, sK11: (($i > $i > $o) > $i > $i > $i) > (($i > $i > $o) > $i > $i > $i) > $i > $i > $o).
% 2.60/0.69 thf(func_def_24, type, sK12: (($i > $i > $o) > $i > $i) > (($i > $i > $o) > $i > $i) > $i).
% 2.60/0.69 thf(func_def_25, type, sK13: (($i > $i > $o) > $i > $i) > (($i > $i > $o) > $i > $i) > $i > $i > $o).
% 2.60/0.69 thf(func_def_28, type, sK14: (($i > $i > $o) > $i > $i > $i > $i) > (($i > $i > $o) > $i > $i > $i > $i) > $i).
% 2.60/0.69 thf(func_def_29, type, sK15: (($i > $i > $o) > $i > $i > $i > $i) > $i).
% 2.60/0.69 thf(f230,plain,(
% 2.60/0.69 $false),
% 2.60/0.69 inference(avatar_sat_refutation,[],[f27,f37,f40,f229])).
% 2.60/0.69 thf(f229,plain,(
% 2.60/0.69 ~spl6_1),
% 2.60/0.69 inference(avatar_contradiction_clause,[],[f228])).
% 2.60/0.69 thf(f228,plain,(
% 2.60/0.69 $false | ~spl6_1),
% 2.60/0.69 inference(trivial_inequality_removal,[],[f227])).
% 2.60/0.69 thf(f227,plain,(
% 2.60/0.69 ((sK8 @ (sK13 @ (^[Y0 : $i > $i > $o]: ((^[Y1 : $i]: (sK8 @ (^[Y2 : $i]: (sF2 @ (Y0 @ Y2))))))) @ (^[Y0 : $i > $i > $o]: ((^[Y1 : $i]: (sK8 @ (^[Y2 : $i]: (sF2 @ (Y0 @ Y2))))))) @ (sK8 @ (^[Y0 : $i]: (sF2 @ (sK13 @ (^[Y1 : $i > $i > $o]: ((^[Y2 : $i]: (sK8 @ (^[Y3 : $i]: (sF2 @ (Y1 @ Y3))))))) @ (^[Y1 : $i > $i > $o]: ((^[Y2 : $i]: (sK8 @ (^[Y3 : $i]: (sF2 @ (Y1 @ Y3))))))) @ Y0)))))) != (sK8 @ (sK13 @ (^[Y0 : $i > $i > $o]: ((^[Y1 : $i]: (sK8 @ (^[Y2 : $i]: (sF2 @ (Y0 @ Y2))))))) @ (^[Y0 : $i > $i > $o]: ((^[Y1 : $i]: (sK8 @ (^[Y2 : $i]: (sF2 @ (Y0 @ Y2))))))) @ (sK8 @ (^[Y0 : $i]: (sF2 @ (sK13 @ (^[Y1 : $i > $i > $o]: ((^[Y2 : $i]: (sK8 @ (^[Y3 : $i]: (sF2 @ (Y1 @ Y3))))))) @ (^[Y1 : $i > $i > $o]: ((^[Y2 : $i]: (sK8 @ (^[Y3 : $i]: (sF2 @ (Y1 @ Y3))))))) @ Y0))))))) | ((^[Y0 : $i > $i > $o]: ((^[Y1 : $i]: (Y0)))) != (^[Y0 : $i > $i > $o]: ((^[Y1 : $i]: (Y0))))) | ~spl6_1),
% 2.60/0.69 inference(beta_eta_normalization,[],[f226])).
% 2.60/0.69 thf(f226,plain,(
% 2.60/0.69 ((sK8 @ (sK13 @ (^[Y0 : $i > $i > $o]: ((^[Y1 : $i]: (sK8 @ (^[Y2 : $i]: (sF2 @ (Y0 @ Y2))))))) @ (^[Y0 : $i > $i > $o]: ((^[Y1 : $i]: (sK8 @ (^[Y2 : $i]: (sF2 @ (^[Y3 : $i]: (Y0 @ Y2 @ ((^[Y4 : $i > $i > $o]: ((^[Y5 : $i]: ((^[Y6 : $i]: ((^[Y7 : $i]: (Y7)))))))) @ Y0 @ Y1 @ Y2 @ Y3))))))))) @ (sK8 @ (^[Y0 : $i]: (sF2 @ (sK13 @ (^[Y1 : $i > $i > $o]: ((^[Y2 : $i]: (sK8 @ (^[Y3 : $i]: (sF2 @ (Y1 @ Y3))))))) @ (^[Y1 : $i > $i > $o]: ((^[Y2 : $i]: (sK8 @ (^[Y3 : $i]: (sF2 @ (^[Y4 : $i]: (Y1 @ Y3 @ ((^[Y5 : $i > $i > $o]: ((^[Y6 : $i]: ((^[Y7 : $i]: ((^[Y8 : $i]: (Y8)))))))) @ Y1 @ Y2 @ Y3 @ Y4))))))))) @ Y0)))))) != (sK8 @ (^[Y0 : $i]: (sK13 @ (^[Y1 : $i > $i > $o]: ((^[Y2 : $i]: (sK8 @ (^[Y3 : $i]: (sF2 @ (Y1 @ Y3))))))) @ (^[Y1 : $i > $i > $o]: ((^[Y2 : $i]: (sK8 @ (^[Y3 : $i]: (sF2 @ (^[Y4 : $i]: (Y1 @ Y3 @ ((^[Y5 : $i > $i > $o]: ((^[Y6 : $i]: ((^[Y7 : $i]: ((^[Y8 : $i]: (Y8)))))))) @ Y1 @ Y2 @ Y3 @ Y4))))))))) @ (sK8 @ (^[Y1 : $i]: (sF2 @ (^[Y2 : $i]: (sK13 @ (^[Y3 : $i > $i > $o]: ((^[Y4 : $i]: (sK8 @ (^[Y5 : $i]: (sF2 @ (Y3 @ Y5))))))) @ (^[Y3 : $i > $i > $o]: ((^[Y4 : $i]: (sK8 @ (^[Y5 : $i]: (sF2 @ (^[Y6 : $i]: (Y3 @ Y5 @ ((^[Y7 : $i > $i > $o]: ((^[Y8 : $i]: ((^[Y9 : $i]: ((^[Y10 : $i]: (Y10)))))))) @ Y3 @ Y4 @ Y5 @ Y6))))))))) @ Y1 @ ((^[Y3 : $i > $i > $o]: ((^[Y4 : $i]: ((^[Y5 : $i]: ((^[Y6 : $i]: (Y6)))))))) @ (sK13 @ (^[Y3 : $i > $i > $o]: ((^[Y4 : $i]: (sK8 @ (^[Y5 : $i]: (sF2 @ (Y3 @ Y5))))))) @ (^[Y3 : $i > $i > $o]: ((^[Y4 : $i]: (sK8 @ (^[Y5 : $i]: (sF2 @ (^[Y6 : $i]: (Y3 @ Y5 @ ((^[Y7 : $i > $i > $o]: ((^[Y8 : $i]: ((^[Y9 : $i]: ((^[Y10 : $i]: (Y10)))))))) @ Y3 @ Y4 @ Y5 @ Y6)))))))))) @ Y0 @ Y1 @ Y2)))))) @ Y0)))) | ((^[Y0 : $i > $i > $o]: ((^[Y1 : $i]: ((^[Y2 : $i]: ((^[Y3 : $i]: (Y0 @ Y2 @ ((^[Y4 : $i > $i > $o]: ((^[Y5 : $i]: ((^[Y6 : $i]: ((^[Y7 : $i]: (Y7)))))))) @ Y0 @ Y1 @ Y2 @ Y3))))))))) != (^[Y0 : $i > $i > $o]: ((^[Y1 : $i]: (Y0))))) | ~spl6_1),
% 2.60/0.69 inference(equality_resolution,[],[f225])).
% 2.60/0.69 thf(f225,plain,(
% 2.60/0.69 ( ! [X0 : ($i > $i > $o) > $i > $i > $i > $i] : (((^[Y0 : $i]: ((^[Y1 : $i]: ((^[Y2 : $i]: (X0)))))) != (^[Y0 : $i]: ((^[Y1 : $i]: ((^[Y2 : $i]: ((^[Y3 : $i > $i > $o]: ((^[Y4 : $i]: ((^[Y5 : $i]: ((^[Y6 : $i]: (Y6))))))))))))))) | ((^[Y0 : $i > $i > $o]: ((^[Y1 : $i]: ((^[Y2 : $i]: ((^[Y3 : $i]: (Y0 @ Y2 @ (X0 @ Y0 @ Y1 @ Y2 @ Y3))))))))) != (^[Y0 : $i > $i > $o]: ((^[Y1 : $i]: (Y0))))) | ((sK8 @ (sK13 @ (^[Y0 : $i > $i > $o]: ((^[Y1 : $i]: (sK8 @ (^[Y2 : $i]: (sF2 @ (Y0 @ Y2))))))) @ (^[Y0 : $i > $i > $o]: ((^[Y1 : $i]: (sK8 @ (^[Y2 : $i]: (sF2 @ (^[Y3 : $i]: (Y0 @ Y2 @ (X0 @ Y0 @ Y1 @ Y2 @ Y3))))))))) @ (sK8 @ (^[Y0 : $i]: (sF2 @ (sK13 @ (^[Y1 : $i > $i > $o]: ((^[Y2 : $i]: (sK8 @ (^[Y3 : $i]: (sF2 @ (Y1 @ Y3))))))) @ (^[Y1 : $i > $i > $o]: ((^[Y2 : $i]: (sK8 @ (^[Y3 : $i]: (sF2 @ (^[Y4 : $i]: (Y1 @ Y3 @ (X0 @ Y1 @ Y2 @ Y3 @ Y4))))))))) @ Y0)))))) != (sK8 @ (^[Y0 : $i]: (sK13 @ (^[Y1 : $i > $i > $o]: ((^[Y2 : $i]: (sK8 @ (^[Y3 : $i]: (sF2 @ (Y1 @ Y3))))))) @ (^[Y1 : $i > $i > $o]: ((^[Y2 : $i]: (sK8 @ (^[Y3 : $i]: (sF2 @ (^[Y4 : $i]: (Y1 @ Y3 @ (X0 @ Y1 @ Y2 @ Y3 @ Y4))))))))) @ (sK8 @ (^[Y1 : $i]: (sF2 @ (^[Y2 : $i]: (sK13 @ (^[Y3 : $i > $i > $o]: ((^[Y4 : $i]: (sK8 @ (^[Y5 : $i]: (sF2 @ (Y3 @ Y5))))))) @ (^[Y3 : $i > $i > $o]: ((^[Y4 : $i]: (sK8 @ (^[Y5 : $i]: (sF2 @ (^[Y6 : $i]: (Y3 @ Y5 @ (X0 @ Y3 @ Y4 @ Y5 @ Y6))))))))) @ Y1 @ (X0 @ (sK13 @ (^[Y3 : $i > $i > $o]: ((^[Y4 : $i]: (sK8 @ (^[Y5 : $i]: (sF2 @ (Y3 @ Y5))))))) @ (^[Y3 : $i > $i > $o]: ((^[Y4 : $i]: (sK8 @ (^[Y5 : $i]: (sF2 @ (^[Y6 : $i]: (Y3 @ Y5 @ (X0 @ Y3 @ Y4 @ Y5 @ Y6)))))))))) @ Y0 @ Y1 @ Y2)))))) @ Y0))))) ) | ~spl6_1),
% 2.60/0.69 inference(beta_eta_normalization,[],[f224])).
% 2.60/0.69 thf(f224,plain,(
% 2.60/0.69 ( ! [X0 : ($i > $i > $o) > $i > $i > $i > $i] : (((sK8 @ (sK13 @ (^[Y0 : $i > $i > $o]: ((^[Y1 : $i]: (sK8 @ (^[Y2 : $i]: (sF2 @ (Y0 @ Y2))))))) @ (^[Y0 : $i > $i > $o]: ((^[Y1 : $i]: (sK8 @ (^[Y2 : $i]: (sF2 @ (^[Y3 : $i]: (Y0 @ Y2 @ (X0 @ Y0 @ Y1 @ Y2 @ Y3))))))))) @ (sK8 @ (^[Y0 : $i]: (sF2 @ (sK13 @ (^[Y1 : $i > $i > $o]: ((^[Y2 : $i]: (sK8 @ (^[Y3 : $i]: (sF2 @ (Y1 @ Y3))))))) @ (^[Y1 : $i > $i > $o]: ((^[Y2 : $i]: (sK8 @ (^[Y3 : $i]: (sF2 @ (^[Y4 : $i]: (Y1 @ Y3 @ (X0 @ Y1 @ Y2 @ Y3 @ Y4))))))))) @ Y0)))))) != (sK8 @ (^[Y0 : $i]: (sK13 @ (^[Y1 : $i > $i > $o]: ((^[Y2 : $i]: (sK8 @ (^[Y3 : $i]: (sF2 @ (Y1 @ Y3))))))) @ (^[Y1 : $i > $i > $o]: ((^[Y2 : $i]: (sK8 @ (^[Y3 : $i]: (sF2 @ (^[Y4 : $i]: (Y1 @ Y3 @ (X0 @ Y1 @ Y2 @ Y3 @ Y4))))))))) @ (sK8 @ (^[Y1 : $i]: (sF2 @ (^[Y2 : $i]: (sK13 @ (^[Y3 : $i > $i > $o]: ((^[Y4 : $i]: (sK8 @ (^[Y5 : $i]: (sF2 @ (Y3 @ Y5))))))) @ (^[Y3 : $i > $i > $o]: ((^[Y4 : $i]: (sK8 @ (^[Y5 : $i]: (sF2 @ (^[Y6 : $i]: (Y3 @ Y5 @ (X0 @ Y3 @ Y4 @ Y5 @ Y6))))))))) @ Y1 @ (X0 @ (sK13 @ (^[Y3 : $i > $i > $o]: ((^[Y4 : $i]: (sK8 @ (^[Y5 : $i]: (sF2 @ (Y3 @ Y5))))))) @ (^[Y3 : $i > $i > $o]: ((^[Y4 : $i]: (sK8 @ (^[Y5 : $i]: (sF2 @ (^[Y6 : $i]: (Y3 @ Y5 @ (X0 @ Y3 @ Y4 @ Y5 @ Y6)))))))))) @ Y0 @ Y1 @ Y2)))))) @ Y0)))) | (((^[Y0 : $i]: ((^[Y1 : $i > $i > $o]: ((^[Y2 : $i]: (Y1)))))) @ (sK15 @ X0)) != ((^[Y0 : $i]: ((^[Y1 : $i > $i > $o]: ((^[Y2 : $i]: ((^[Y3 : $i]: ((^[Y4 : $i]: (Y1 @ Y3 @ (X0 @ Y1 @ Y2 @ Y3 @ Y4))))))))))) @ (sK15 @ X0))) | ((^[Y0 : $i]: ((^[Y1 : $i]: ((^[Y2 : $i]: (X0)))))) != (^[Y0 : $i]: ((^[Y1 : $i]: ((^[Y2 : $i]: ((^[Y3 : $i > $i > $o]: ((^[Y4 : $i]: ((^[Y5 : $i]: ((^[Y6 : $i]: (Y6)))))))))))))))) ) | ~spl6_1),
% 2.60/0.69 inference(negative_extensionality,[],[f223])).
% 2.60/0.69 thf(f223,plain,(
% 2.60/0.69 ( ! [X0 : ($i > $i > $o) > $i > $i > $i > $i] : (((^[Y0 : $i]: ((^[Y1 : $i > $i > $o]: ((^[Y2 : $i]: ((^[Y3 : $i]: ((^[Y4 : $i]: (Y1 @ Y3 @ (X0 @ Y1 @ Y2 @ Y3 @ Y4))))))))))) != (^[Y0 : $i]: ((^[Y1 : $i > $i > $o]: ((^[Y2 : $i]: (Y1))))))) | ((sK8 @ (sK13 @ (^[Y0 : $i > $i > $o]: ((^[Y1 : $i]: (sK8 @ (^[Y2 : $i]: (sF2 @ (Y0 @ Y2))))))) @ (^[Y0 : $i > $i > $o]: ((^[Y1 : $i]: (sK8 @ (^[Y2 : $i]: (sF2 @ (^[Y3 : $i]: (Y0 @ Y2 @ (X0 @ Y0 @ Y1 @ Y2 @ Y3))))))))) @ (sK8 @ (^[Y0 : $i]: (sF2 @ (sK13 @ (^[Y1 : $i > $i > $o]: ((^[Y2 : $i]: (sK8 @ (^[Y3 : $i]: (sF2 @ (Y1 @ Y3))))))) @ (^[Y1 : $i > $i > $o]: ((^[Y2 : $i]: (sK8 @ (^[Y3 : $i]: (sF2 @ (^[Y4 : $i]: (Y1 @ Y3 @ (X0 @ Y1 @ Y2 @ Y3 @ Y4))))))))) @ Y0)))))) != (sK8 @ (^[Y0 : $i]: (sK13 @ (^[Y1 : $i > $i > $o]: ((^[Y2 : $i]: (sK8 @ (^[Y3 : $i]: (sF2 @ (Y1 @ Y3))))))) @ (^[Y1 : $i > $i > $o]: ((^[Y2 : $i]: (sK8 @ (^[Y3 : $i]: (sF2 @ (^[Y4 : $i]: (Y1 @ Y3 @ (X0 @ Y1 @ Y2 @ Y3 @ Y4))))))))) @ (sK8 @ (^[Y1 : $i]: (sF2 @ (^[Y2 : $i]: (sK13 @ (^[Y3 : $i > $i > $o]: ((^[Y4 : $i]: (sK8 @ (^[Y5 : $i]: (sF2 @ (Y3 @ Y5))))))) @ (^[Y3 : $i > $i > $o]: ((^[Y4 : $i]: (sK8 @ (^[Y5 : $i]: (sF2 @ (^[Y6 : $i]: (Y3 @ Y5 @ (X0 @ Y3 @ Y4 @ Y5 @ Y6))))))))) @ Y1 @ (X0 @ (sK13 @ (^[Y3 : $i > $i > $o]: ((^[Y4 : $i]: (sK8 @ (^[Y5 : $i]: (sF2 @ (Y3 @ Y5))))))) @ (^[Y3 : $i > $i > $o]: ((^[Y4 : $i]: (sK8 @ (^[Y5 : $i]: (sF2 @ (^[Y6 : $i]: (Y3 @ Y5 @ (X0 @ Y3 @ Y4 @ Y5 @ Y6)))))))))) @ Y0 @ Y1 @ Y2)))))) @ Y0)))) | ((^[Y0 : $i]: ((^[Y1 : $i]: ((^[Y2 : $i]: (X0)))))) != (^[Y0 : $i]: ((^[Y1 : $i]: ((^[Y2 : $i]: ((^[Y3 : $i > $i > $o]: ((^[Y4 : $i]: ((^[Y5 : $i]: ((^[Y6 : $i]: (Y6)))))))))))))))) ) | ~spl6_1),
% 2.60/0.69 inference(beta_eta_normalization,[],[f222])).
% 2.60/0.69 thf(f222,plain,(
% 2.60/0.69 ( ! [X0 : ($i > $i > $o) > $i > $i > $i > $i] : (((^[Y0 : $i]: ((^[Y1 : $i > $i > $o]: ((^[Y2 : $i]: ((^[Y3 : $i]: ((^[Y4 : $i]: (Y1 @ Y3 @ (X0 @ Y1 @ Y2 @ Y3 @ Y4))))))))))) != (^[Y0 : $i]: ((^[Y1 : $i > $i > $o]: ((^[Y2 : $i]: ((^[Y3 : $i]: ((^[Y4 : $i]: (Y1 @ Y3 @ ((^[Y5 : $i > $i > $o]: ((^[Y6 : $i]: ((^[Y7 : $i]: ((^[Y8 : $i]: (Y8)))))))) @ Y1 @ Y2 @ Y3 @ Y4)))))))))))) | ((sK8 @ (^[Y0 : $i]: (sK13 @ (^[Y1 : $i > $i > $o]: ((^[Y2 : $i]: (sK8 @ (^[Y3 : $i]: (sF2 @ (^[Y4 : $i]: (Y1 @ Y3 @ ((^[Y5 : $i > $i > $o]: ((^[Y6 : $i]: ((^[Y7 : $i]: ((^[Y8 : $i]: (Y8)))))))) @ Y1 @ Y2 @ Y3 @ Y4))))))))) @ (^[Y1 : $i > $i > $o]: ((^[Y2 : $i]: (sK8 @ (^[Y3 : $i]: (sF2 @ (^[Y4 : $i]: (Y1 @ Y3 @ (X0 @ Y1 @ Y2 @ Y3 @ Y4))))))))) @ (sK8 @ (^[Y1 : $i]: (sF2 @ (^[Y2 : $i]: (sK13 @ (^[Y3 : $i > $i > $o]: ((^[Y4 : $i]: (sK8 @ (^[Y5 : $i]: (sF2 @ (^[Y6 : $i]: (Y3 @ Y5 @ ((^[Y7 : $i > $i > $o]: ((^[Y8 : $i]: ((^[Y9 : $i]: ((^[Y10 : $i]: (Y10)))))))) @ Y3 @ Y4 @ Y5 @ Y6))))))))) @ (^[Y3 : $i > $i > $o]: ((^[Y4 : $i]: (sK8 @ (^[Y5 : $i]: (sF2 @ (^[Y6 : $i]: (Y3 @ Y5 @ (X0 @ Y3 @ Y4 @ Y5 @ Y6))))))))) @ Y1 @ ((^[Y3 : $i > $i > $o]: ((^[Y4 : $i]: ((^[Y5 : $i]: ((^[Y6 : $i]: (Y6)))))))) @ (sK13 @ (^[Y3 : $i > $i > $o]: ((^[Y4 : $i]: (sK8 @ (^[Y5 : $i]: (sF2 @ (^[Y6 : $i]: (Y3 @ Y5 @ ((^[Y7 : $i > $i > $o]: ((^[Y8 : $i]: ((^[Y9 : $i]: ((^[Y10 : $i]: (Y10)))))))) @ Y3 @ Y4 @ Y5 @ Y6))))))))) @ (^[Y3 : $i > $i > $o]: ((^[Y4 : $i]: (sK8 @ (^[Y5 : $i]: (sF2 @ (^[Y6 : $i]: (Y3 @ Y5 @ (X0 @ Y3 @ Y4 @ Y5 @ Y6)))))))))) @ Y0 @ Y1 @ Y2)))))) @ Y0))) != (sK8 @ (^[Y0 : $i]: (sK13 @ (^[Y1 : $i > $i > $o]: ((^[Y2 : $i]: (sK8 @ (^[Y3 : $i]: (sF2 @ (^[Y4 : $i]: (Y1 @ Y3 @ ((^[Y5 : $i > $i > $o]: ((^[Y6 : $i]: ((^[Y7 : $i]: ((^[Y8 : $i]: (Y8)))))))) @ Y1 @ Y2 @ Y3 @ Y4))))))))) @ (^[Y1 : $i > $i > $o]: ((^[Y2 : $i]: (sK8 @ (^[Y3 : $i]: (sF2 @ (^[Y4 : $i]: (Y1 @ Y3 @ (X0 @ Y1 @ Y2 @ Y3 @ Y4))))))))) @ (sK8 @ (^[Y1 : $i]: (sF2 @ (^[Y2 : $i]: (sK13 @ (^[Y3 : $i > $i > $o]: ((^[Y4 : $i]: (sK8 @ (^[Y5 : $i]: (sF2 @ (^[Y6 : $i]: (Y3 @ Y5 @ ((^[Y7 : $i > $i > $o]: ((^[Y8 : $i]: ((^[Y9 : $i]: ((^[Y10 : $i]: (Y10)))))))) @ Y3 @ Y4 @ Y5 @ Y6))))))))) @ (^[Y3 : $i > $i > $o]: ((^[Y4 : $i]: (sK8 @ (^[Y5 : $i]: (sF2 @ (^[Y6 : $i]: (Y3 @ Y5 @ (X0 @ Y3 @ Y4 @ Y5 @ Y6))))))))) @ Y1 @ (X0 @ (sK13 @ (^[Y3 : $i > $i > $o]: ((^[Y4 : $i]: (sK8 @ (^[Y5 : $i]: (sF2 @ (^[Y6 : $i]: (Y3 @ Y5 @ ((^[Y7 : $i > $i > $o]: ((^[Y8 : $i]: ((^[Y9 : $i]: ((^[Y10 : $i]: (Y10)))))))) @ Y3 @ Y4 @ Y5 @ Y6))))))))) @ (^[Y3 : $i > $i > $o]: ((^[Y4 : $i]: (sK8 @ (^[Y5 : $i]: (sF2 @ (^[Y6 : $i]: (Y3 @ Y5 @ (X0 @ Y3 @ Y4 @ Y5 @ Y6)))))))))) @ Y0 @ Y1 @ Y2)))))) @ Y0)))) | ((^[Y0 : $i]: ((^[Y1 : $i]: ((^[Y2 : $i]: (X0)))))) != (^[Y0 : $i]: ((^[Y1 : $i]: ((^[Y2 : $i]: ((^[Y3 : $i > $i > $o]: ((^[Y4 : $i]: ((^[Y5 : $i]: ((^[Y6 : $i]: (Y6)))))))))))))))) ) | ~spl6_1),
% 2.60/0.69 inference(equality_resolution,[],[f221])).
% 2.60/0.69 thf(f221,plain,(
% 2.60/0.69 ( ! [X0 : ($i > $i > $o) > $i > $i > $i > $i,X1 : ($i > $i > $o) > $i > $i > $i > $i] : (((^[Y0 : $i]: ((^[Y1 : $i]: ((^[Y2 : $i]: (Y2)))))) != (X0 @ (sK9 @ (^[Y0 : $i > $i > $o]: ((sF2 @ (^[Y1 : $i]: (sF2 @ (Y0 @ Y1)))) => (Y0 @ (sK8 @ (^[Y1 : $i]: (sF2 @ (Y0 @ Y1)))) @ (sK8 @ (^[Y1 : $i]: (Y0 @ (sK8 @ (^[Y2 : $i]: (sF2 @ (^[Y3 : $i]: (Y0 @ Y2 @ (X0 @ Y0 @ Y1 @ Y2 @ Y3)))))) @ Y1))))))))) | ((sK8 @ (^[Y0 : $i]: (sK13 @ (^[Y1 : $i > $i > $o]: ((^[Y2 : $i]: (sK8 @ (^[Y3 : $i]: (sF2 @ (^[Y4 : $i]: (Y1 @ Y3 @ (X0 @ Y1 @ Y2 @ Y3 @ Y4))))))))) @ (^[Y1 : $i > $i > $o]: ((^[Y2 : $i]: (sK8 @ (^[Y3 : $i]: (sF2 @ (^[Y4 : $i]: (Y1 @ Y3 @ (X1 @ Y1 @ Y2 @ Y3 @ Y4))))))))) @ (sK8 @ (^[Y1 : $i]: (sF2 @ (^[Y2 : $i]: (sK13 @ (^[Y3 : $i > $i > $o]: ((^[Y4 : $i]: (sK8 @ (^[Y5 : $i]: (sF2 @ (^[Y6 : $i]: (Y3 @ Y5 @ (X0 @ Y3 @ Y4 @ Y5 @ Y6))))))))) @ (^[Y3 : $i > $i > $o]: ((^[Y4 : $i]: (sK8 @ (^[Y5 : $i]: (sF2 @ (^[Y6 : $i]: (Y3 @ Y5 @ (X1 @ Y3 @ Y4 @ Y5 @ Y6))))))))) @ Y1 @ (X1 @ (sK13 @ (^[Y3 : $i > $i > $o]: ((^[Y4 : $i]: (sK8 @ (^[Y5 : $i]: (sF2 @ (^[Y6 : $i]: (Y3 @ Y5 @ (X0 @ Y3 @ Y4 @ Y5 @ Y6))))))))) @ (^[Y3 : $i > $i > $o]: ((^[Y4 : $i]: (sK8 @ (^[Y5 : $i]: (sF2 @ (^[Y6 : $i]: (Y3 @ Y5 @ (X1 @ Y3 @ Y4 @ Y5 @ Y6)))))))))) @ Y0 @ Y1 @ Y2)))))) @ Y0))) != (sK8 @ (^[Y0 : $i]: (sK13 @ (^[Y1 : $i > $i > $o]: ((^[Y2 : $i]: (sK8 @ (^[Y3 : $i]: (sF2 @ (^[Y4 : $i]: (Y1 @ Y3 @ (X0 @ Y1 @ Y2 @ Y3 @ Y4))))))))) @ (^[Y1 : $i > $i > $o]: ((^[Y2 : $i]: (sK8 @ (^[Y3 : $i]: (sF2 @ (^[Y4 : $i]: (Y1 @ Y3 @ (X1 @ Y1 @ Y2 @ Y3 @ Y4))))))))) @ (sK8 @ (^[Y1 : $i]: (sF2 @ (^[Y2 : $i]: (sK13 @ (^[Y3 : $i > $i > $o]: ((^[Y4 : $i]: (sK8 @ (^[Y5 : $i]: (sF2 @ (^[Y6 : $i]: (Y3 @ Y5 @ (X0 @ Y3 @ Y4 @ Y5 @ Y6))))))))) @ (^[Y3 : $i > $i > $o]: ((^[Y4 : $i]: (sK8 @ (^[Y5 : $i]: (sF2 @ (^[Y6 : $i]: (Y3 @ Y5 @ (X1 @ Y3 @ Y4 @ Y5 @ Y6))))))))) @ Y1 @ (X0 @ (sK13 @ (^[Y3 : $i > $i > $o]: ((^[Y4 : $i]: (sK8 @ (^[Y5 : $i]: (sF2 @ (^[Y6 : $i]: (Y3 @ Y5 @ (X0 @ Y3 @ Y4 @ Y5 @ Y6))))))))) @ (^[Y3 : $i > $i > $o]: ((^[Y4 : $i]: (sK8 @ (^[Y5 : $i]: (sF2 @ (^[Y6 : $i]: (Y3 @ Y5 @ (X1 @ Y3 @ Y4 @ Y5 @ Y6)))))))))) @ Y0 @ Y1 @ Y2)))))) @ Y0)))) | ((^[Y0 : $i]: ((^[Y1 : $i > $i > $o]: ((^[Y2 : $i]: ((^[Y3 : $i]: ((^[Y4 : $i]: (Y1 @ Y3 @ (X0 @ Y1 @ Y2 @ Y3 @ Y4))))))))))) != (^[Y0 : $i]: ((^[Y1 : $i > $i > $o]: ((^[Y2 : $i]: ((^[Y3 : $i]: ((^[Y4 : $i]: (Y1 @ Y3 @ (X1 @ Y1 @ Y2 @ Y3 @ Y4)))))))))))) | ((^[Y0 : $i]: ((^[Y1 : $i]: ((^[Y2 : $i]: (X0)))))) != (^[Y0 : $i]: ((^[Y1 : $i]: ((^[Y2 : $i]: (X1)))))))) ) | ~spl6_1),
% 2.60/0.69 inference(beta_eta_normalization,[],[f220])).
% 2.60/0.69 thf(f220,plain,(
% 2.60/0.69 ( ! [X0 : ($i > $i > $o) > $i > $i > $i > $i,X1 : ($i > $i > $o) > $i > $i > $i > $i] : (((sK8 @ (^[Y0 : $i]: (sK13 @ (^[Y1 : $i > $i > $o]: ((^[Y2 : $i]: (sK8 @ (^[Y3 : $i]: (sF2 @ (^[Y4 : $i]: (Y1 @ Y3 @ (X0 @ Y1 @ Y2 @ Y3 @ Y4))))))))) @ (^[Y1 : $i > $i > $o]: ((^[Y2 : $i]: (sK8 @ (^[Y3 : $i]: (sF2 @ (^[Y4 : $i]: (Y1 @ Y3 @ (X1 @ Y1 @ Y2 @ Y3 @ Y4))))))))) @ (sK8 @ (^[Y1 : $i]: (sF2 @ (^[Y2 : $i]: (sK13 @ (^[Y3 : $i > $i > $o]: ((^[Y4 : $i]: (sK8 @ (^[Y5 : $i]: (sF2 @ (^[Y6 : $i]: (Y3 @ Y5 @ (X0 @ Y3 @ Y4 @ Y5 @ Y6))))))))) @ (^[Y3 : $i > $i > $o]: ((^[Y4 : $i]: (sK8 @ (^[Y5 : $i]: (sF2 @ (^[Y6 : $i]: (Y3 @ Y5 @ (X1 @ Y3 @ Y4 @ Y5 @ Y6))))))))) @ Y1 @ (X1 @ (sK13 @ (^[Y3 : $i > $i > $o]: ((^[Y4 : $i]: (sK8 @ (^[Y5 : $i]: (sF2 @ (^[Y6 : $i]: (Y3 @ Y5 @ (X0 @ Y3 @ Y4 @ Y5 @ Y6))))))))) @ (^[Y3 : $i > $i > $o]: ((^[Y4 : $i]: (sK8 @ (^[Y5 : $i]: (sF2 @ (^[Y6 : $i]: (Y3 @ Y5 @ (X1 @ Y3 @ Y4 @ Y5 @ Y6)))))))))) @ Y0 @ Y1 @ Y2)))))) @ Y0))) != (sK8 @ (^[Y0 : $i]: (sK13 @ (^[Y1 : $i > $i > $o]: ((^[Y2 : $i]: (sK8 @ (^[Y3 : $i]: (sF2 @ (^[Y4 : $i]: (Y1 @ Y3 @ (X0 @ Y1 @ Y2 @ Y3 @ Y4))))))))) @ (^[Y1 : $i > $i > $o]: ((^[Y2 : $i]: (sK8 @ (^[Y3 : $i]: (sF2 @ (^[Y4 : $i]: (Y1 @ Y3 @ (X1 @ Y1 @ Y2 @ Y3 @ Y4))))))))) @ (sK8 @ (^[Y1 : $i]: (sF2 @ (^[Y2 : $i]: (sK13 @ (^[Y3 : $i > $i > $o]: ((^[Y4 : $i]: (sK8 @ (^[Y5 : $i]: (sF2 @ (^[Y6 : $i]: (Y3 @ Y5 @ (X0 @ Y3 @ Y4 @ Y5 @ Y6))))))))) @ (^[Y3 : $i > $i > $o]: ((^[Y4 : $i]: (sK8 @ (^[Y5 : $i]: (sF2 @ (^[Y6 : $i]: (Y3 @ Y5 @ (X1 @ Y3 @ Y4 @ Y5 @ Y6))))))))) @ Y1 @ (X0 @ (sK13 @ (^[Y3 : $i > $i > $o]: ((^[Y4 : $i]: (sK8 @ (^[Y5 : $i]: (sF2 @ (^[Y6 : $i]: (Y3 @ Y5 @ (X0 @ Y3 @ Y4 @ Y5 @ Y6))))))))) @ (^[Y3 : $i > $i > $o]: ((^[Y4 : $i]: (sK8 @ (^[Y5 : $i]: (sF2 @ (^[Y6 : $i]: (Y3 @ Y5 @ (X1 @ Y3 @ Y4 @ Y5 @ Y6)))))))))) @ Y0 @ Y1 @ Y2)))))) @ Y0)))) | (((^[Y0 : $i]: ((^[Y1 : $i]: ((^[Y2 : $i > $i > $o]: ((^[Y3 : $i]: ((^[Y4 : $i]: ((^[Y5 : $i]: (Y2 @ Y4 @ (X1 @ Y2 @ Y3 @ Y4 @ Y5))))))))))))) @ (sK14 @ X1 @ X0)) != ((^[Y0 : $i]: ((^[Y1 : $i]: ((^[Y2 : $i > $i > $o]: ((^[Y3 : $i]: ((^[Y4 : $i]: ((^[Y5 : $i]: (Y2 @ Y4 @ (X0 @ Y2 @ Y3 @ Y4 @ Y5))))))))))))) @ (sK14 @ X1 @ X0))) | ((^[Y0 : $i]: ((^[Y1 : $i]: ((^[Y2 : $i]: (X0)))))) != (^[Y0 : $i]: ((^[Y1 : $i]: ((^[Y2 : $i]: (X1))))))) | ((^[Y0 : $i]: ((^[Y1 : $i]: ((^[Y2 : $i]: (Y2)))))) != (X0 @ (sK9 @ (^[Y0 : $i > $i > $o]: ((sF2 @ (^[Y1 : $i]: (sF2 @ (Y0 @ Y1)))) => (Y0 @ (sK8 @ (^[Y1 : $i]: (sF2 @ (Y0 @ Y1)))) @ (sK8 @ (^[Y1 : $i]: (Y0 @ (sK8 @ (^[Y2 : $i]: (sF2 @ (^[Y3 : $i]: (Y0 @ Y2 @ (X0 @ Y0 @ Y1 @ Y2 @ Y3)))))) @ Y1)))))))))) ) | ~spl6_1),
% 2.60/0.69 inference(negative_extensionality,[],[f219])).
% 2.60/0.69 thf(f219,plain,(
% 2.60/0.69 ( ! [X0 : ($i > $i > $o) > $i > $i > $i > $i,X1 : ($i > $i > $o) > $i > $i > $i > $i] : (((^[Y0 : $i]: ((^[Y1 : $i]: ((^[Y2 : $i > $i > $o]: ((^[Y3 : $i]: ((^[Y4 : $i]: ((^[Y5 : $i]: (Y2 @ Y4 @ (X0 @ Y2 @ Y3 @ Y4 @ Y5))))))))))))) != (^[Y0 : $i]: ((^[Y1 : $i]: ((^[Y2 : $i > $i > $o]: ((^[Y3 : $i]: ((^[Y4 : $i]: ((^[Y5 : $i]: (Y2 @ Y4 @ (X1 @ Y2 @ Y3 @ Y4 @ Y5)))))))))))))) | ((sK8 @ (^[Y0 : $i]: (sK13 @ (^[Y1 : $i > $i > $o]: ((^[Y2 : $i]: (sK8 @ (^[Y3 : $i]: (sF2 @ (^[Y4 : $i]: (Y1 @ Y3 @ (X0 @ Y1 @ Y2 @ Y3 @ Y4))))))))) @ (^[Y1 : $i > $i > $o]: ((^[Y2 : $i]: (sK8 @ (^[Y3 : $i]: (sF2 @ (^[Y4 : $i]: (Y1 @ Y3 @ (X1 @ Y1 @ Y2 @ Y3 @ Y4))))))))) @ (sK8 @ (^[Y1 : $i]: (sF2 @ (^[Y2 : $i]: (sK13 @ (^[Y3 : $i > $i > $o]: ((^[Y4 : $i]: (sK8 @ (^[Y5 : $i]: (sF2 @ (^[Y6 : $i]: (Y3 @ Y5 @ (X0 @ Y3 @ Y4 @ Y5 @ Y6))))))))) @ (^[Y3 : $i > $i > $o]: ((^[Y4 : $i]: (sK8 @ (^[Y5 : $i]: (sF2 @ (^[Y6 : $i]: (Y3 @ Y5 @ (X1 @ Y3 @ Y4 @ Y5 @ Y6))))))))) @ Y1 @ (X1 @ (sK13 @ (^[Y3 : $i > $i > $o]: ((^[Y4 : $i]: (sK8 @ (^[Y5 : $i]: (sF2 @ (^[Y6 : $i]: (Y3 @ Y5 @ (X0 @ Y3 @ Y4 @ Y5 @ Y6))))))))) @ (^[Y3 : $i > $i > $o]: ((^[Y4 : $i]: (sK8 @ (^[Y5 : $i]: (sF2 @ (^[Y6 : $i]: (Y3 @ Y5 @ (X1 @ Y3 @ Y4 @ Y5 @ Y6)))))))))) @ Y0 @ Y1 @ Y2)))))) @ Y0))) != (sK8 @ (^[Y0 : $i]: (sK13 @ (^[Y1 : $i > $i > $o]: ((^[Y2 : $i]: (sK8 @ (^[Y3 : $i]: (sF2 @ (^[Y4 : $i]: (Y1 @ Y3 @ (X0 @ Y1 @ Y2 @ Y3 @ Y4))))))))) @ (^[Y1 : $i > $i > $o]: ((^[Y2 : $i]: (sK8 @ (^[Y3 : $i]: (sF2 @ (^[Y4 : $i]: (Y1 @ Y3 @ (X1 @ Y1 @ Y2 @ Y3 @ Y4))))))))) @ (sK8 @ (^[Y1 : $i]: (sF2 @ (^[Y2 : $i]: (sK13 @ (^[Y3 : $i > $i > $o]: ((^[Y4 : $i]: (sK8 @ (^[Y5 : $i]: (sF2 @ (^[Y6 : $i]: (Y3 @ Y5 @ (X0 @ Y3 @ Y4 @ Y5 @ Y6))))))))) @ (^[Y3 : $i > $i > $o]: ((^[Y4 : $i]: (sK8 @ (^[Y5 : $i]: (sF2 @ (^[Y6 : $i]: (Y3 @ Y5 @ (X1 @ Y3 @ Y4 @ Y5 @ Y6))))))))) @ Y1 @ (X0 @ (sK13 @ (^[Y3 : $i > $i > $o]: ((^[Y4 : $i]: (sK8 @ (^[Y5 : $i]: (sF2 @ (^[Y6 : $i]: (Y3 @ Y5 @ (X0 @ Y3 @ Y4 @ Y5 @ Y6))))))))) @ (^[Y3 : $i > $i > $o]: ((^[Y4 : $i]: (sK8 @ (^[Y5 : $i]: (sF2 @ (^[Y6 : $i]: (Y3 @ Y5 @ (X1 @ Y3 @ Y4 @ Y5 @ Y6)))))))))) @ Y0 @ Y1 @ Y2)))))) @ Y0)))) | ((^[Y0 : $i]: ((^[Y1 : $i]: ((^[Y2 : $i]: (Y2)))))) != (X0 @ (sK9 @ (^[Y0 : $i > $i > $o]: ((sF2 @ (^[Y1 : $i]: (sF2 @ (Y0 @ Y1)))) => (Y0 @ (sK8 @ (^[Y1 : $i]: (sF2 @ (Y0 @ Y1)))) @ (sK8 @ (^[Y1 : $i]: (Y0 @ (sK8 @ (^[Y2 : $i]: (sF2 @ (^[Y3 : $i]: (Y0 @ Y2 @ (X0 @ Y0 @ Y1 @ Y2 @ Y3)))))) @ Y1))))))))) | ((^[Y0 : $i]: ((^[Y1 : $i]: ((^[Y2 : $i]: (X0)))))) != (^[Y0 : $i]: ((^[Y1 : $i]: ((^[Y2 : $i]: (X1)))))))) ) | ~spl6_1),
% 2.60/0.69 inference(beta_eta_normalization,[],[f218])).
% 2.60/0.69 thf(f218,plain,(
% 2.60/0.69 ( ! [X0 : ($i > $i > $o) > $i > $i > $i > $i,X1 : ($i > $i > $o) > $i > $i > $i > $i] : (((^[Y0 : $i]: ((^[Y1 : $i]: ((^[Y2 : $i > $i > $o]: ((^[Y3 : $i]: ((^[Y4 : $i]: ((^[Y5 : $i]: (Y2 @ ((^[Y6 : $i > $i > $o]: ((^[Y7 : $i]: ((^[Y8 : $i]: ((^[Y9 : $i]: (Y8)))))))) @ Y2 @ Y3 @ Y4 @ Y5) @ (X1 @ Y2 @ Y3 @ Y4 @ Y5))))))))))))) != (^[Y0 : $i]: ((^[Y1 : $i]: ((^[Y2 : $i > $i > $o]: ((^[Y3 : $i]: ((^[Y4 : $i]: ((^[Y5 : $i]: (Y2 @ Y4 @ (X0 @ Y2 @ Y3 @ Y4 @ Y5)))))))))))))) | ((sK8 @ (^[Y0 : $i]: (sK13 @ (^[Y1 : $i > $i > $o]: ((^[Y2 : $i]: (sK8 @ (^[Y3 : $i]: (sF2 @ (^[Y4 : $i]: (Y1 @ Y3 @ (X0 @ Y1 @ Y2 @ Y3 @ Y4))))))))) @ (^[Y1 : $i > $i > $o]: ((^[Y2 : $i]: (sK8 @ (^[Y3 : $i]: (sF2 @ (^[Y4 : $i]: (Y1 @ ((^[Y5 : $i > $i > $o]: ((^[Y6 : $i]: ((^[Y7 : $i]: ((^[Y8 : $i]: (Y7)))))))) @ Y1 @ Y2 @ Y3 @ Y4) @ (X1 @ Y1 @ Y2 @ Y3 @ Y4))))))))) @ (sK8 @ (^[Y1 : $i]: (sF2 @ (^[Y2 : $i]: (sK13 @ (^[Y3 : $i > $i > $o]: ((^[Y4 : $i]: (sK8 @ (^[Y5 : $i]: (sF2 @ (^[Y6 : $i]: (Y3 @ Y5 @ (X0 @ Y3 @ Y4 @ Y5 @ Y6))))))))) @ (^[Y3 : $i > $i > $o]: ((^[Y4 : $i]: (sK8 @ (^[Y5 : $i]: (sF2 @ (^[Y6 : $i]: (Y3 @ ((^[Y7 : $i > $i > $o]: ((^[Y8 : $i]: ((^[Y9 : $i]: ((^[Y10 : $i]: (Y9)))))))) @ Y3 @ Y4 @ Y5 @ Y6) @ (X1 @ Y3 @ Y4 @ Y5 @ Y6))))))))) @ ((^[Y3 : $i > $i > $o]: ((^[Y4 : $i]: ((^[Y5 : $i]: ((^[Y6 : $i]: (Y5)))))))) @ (sK13 @ (^[Y3 : $i > $i > $o]: ((^[Y4 : $i]: (sK8 @ (^[Y5 : $i]: (sF2 @ (^[Y6 : $i]: (Y3 @ Y5 @ (X0 @ Y3 @ Y4 @ Y5 @ Y6))))))))) @ (^[Y3 : $i > $i > $o]: ((^[Y4 : $i]: (sK8 @ (^[Y5 : $i]: (sF2 @ (^[Y6 : $i]: (Y3 @ ((^[Y7 : $i > $i > $o]: ((^[Y8 : $i]: ((^[Y9 : $i]: ((^[Y10 : $i]: (Y9)))))))) @ Y3 @ Y4 @ Y5 @ Y6) @ (X1 @ Y3 @ Y4 @ Y5 @ Y6)))))))))) @ Y0 @ Y1 @ Y2) @ (X1 @ (sK13 @ (^[Y3 : $i > $i > $o]: ((^[Y4 : $i]: (sK8 @ (^[Y5 : $i]: (sF2 @ (^[Y6 : $i]: (Y3 @ Y5 @ (X0 @ Y3 @ Y4 @ Y5 @ Y6))))))))) @ (^[Y3 : $i > $i > $o]: ((^[Y4 : $i]: (sK8 @ (^[Y5 : $i]: (sF2 @ (^[Y6 : $i]: (Y3 @ ((^[Y7 : $i > $i > $o]: ((^[Y8 : $i]: ((^[Y9 : $i]: ((^[Y10 : $i]: (Y9)))))))) @ Y3 @ Y4 @ Y5 @ Y6) @ (X1 @ Y3 @ Y4 @ Y5 @ Y6)))))))))) @ Y0 @ Y1 @ Y2)))))) @ Y0))) != (sK8 @ (^[Y0 : $i]: (sK13 @ (^[Y1 : $i > $i > $o]: ((^[Y2 : $i]: (sK8 @ (^[Y3 : $i]: (sF2 @ (^[Y4 : $i]: (Y1 @ Y3 @ (X0 @ Y1 @ Y2 @ Y3 @ Y4))))))))) @ (^[Y1 : $i > $i > $o]: ((^[Y2 : $i]: (sK8 @ (^[Y3 : $i]: (sF2 @ (^[Y4 : $i]: (Y1 @ ((^[Y5 : $i > $i > $o]: ((^[Y6 : $i]: ((^[Y7 : $i]: ((^[Y8 : $i]: (Y7)))))))) @ Y1 @ Y2 @ Y3 @ Y4) @ (X1 @ Y1 @ Y2 @ Y3 @ Y4))))))))) @ (sK8 @ (^[Y1 : $i]: (sF2 @ (^[Y2 : $i]: (sK13 @ (^[Y3 : $i > $i > $o]: ((^[Y4 : $i]: (sK8 @ (^[Y5 : $i]: (sF2 @ (^[Y6 : $i]: (Y3 @ Y5 @ (X0 @ Y3 @ Y4 @ Y5 @ Y6))))))))) @ (^[Y3 : $i > $i > $o]: ((^[Y4 : $i]: (sK8 @ (^[Y5 : $i]: (sF2 @ (^[Y6 : $i]: (Y3 @ ((^[Y7 : $i > $i > $o]: ((^[Y8 : $i]: ((^[Y9 : $i]: ((^[Y10 : $i]: (Y9)))))))) @ Y3 @ Y4 @ Y5 @ Y6) @ (X1 @ Y3 @ Y4 @ Y5 @ Y6))))))))) @ Y1 @ (X0 @ (sK13 @ (^[Y3 : $i > $i > $o]: ((^[Y4 : $i]: (sK8 @ (^[Y5 : $i]: (sF2 @ (^[Y6 : $i]: (Y3 @ Y5 @ (X0 @ Y3 @ Y4 @ Y5 @ Y6))))))))) @ (^[Y3 : $i > $i > $o]: ((^[Y4 : $i]: (sK8 @ (^[Y5 : $i]: (sF2 @ (^[Y6 : $i]: (Y3 @ ((^[Y7 : $i > $i > $o]: ((^[Y8 : $i]: ((^[Y9 : $i]: ((^[Y10 : $i]: (Y9)))))))) @ Y3 @ Y4 @ Y5 @ Y6) @ (X1 @ Y3 @ Y4 @ Y5 @ Y6)))))))))) @ Y0 @ Y1 @ Y2)))))) @ Y0)))) | ((^[Y0 : $i]: ((^[Y1 : $i]: ((^[Y2 : $i]: (X0)))))) != (^[Y0 : $i]: ((^[Y1 : $i]: ((^[Y2 : $i]: (X1))))))) | ((^[Y0 : $i]: ((^[Y1 : $i]: ((^[Y2 : $i]: (Y2)))))) != (X0 @ (sK9 @ (^[Y0 : $i > $i > $o]: ((sF2 @ (^[Y1 : $i]: (sF2 @ (Y0 @ Y1)))) => (Y0 @ (sK8 @ (^[Y1 : $i]: (sF2 @ (Y0 @ Y1)))) @ (sK8 @ (^[Y1 : $i]: (Y0 @ (sK8 @ (^[Y2 : $i]: (sF2 @ (^[Y3 : $i]: (Y0 @ Y2 @ (X0 @ Y0 @ Y1 @ Y2 @ Y3)))))) @ Y1)))))))))) ) | ~spl6_1),
% 2.60/0.69 inference(equality_resolution,[],[f217])).
% 2.60/0.69 thf(f217,plain,(
% 2.60/0.69 ( ! [X2 : ($i > $i > $o) > $i > $i > $i > $i,X0 : ($i > $i > $o) > $i > $i > $i > $i,X1 : ($i > $i > $o) > $i > $i > $i > $i] : (((^[Y0 : $i]: ((^[Y1 : $i]: ((^[Y2 : $i]: (X0)))))) != (^[Y0 : $i]: ((^[Y1 : $i]: ((^[Y2 : $i]: ((^[Y3 : $i > $i > $o]: ((^[Y4 : $i]: ((^[Y5 : $i]: ((^[Y6 : $i]: (Y5))))))))))))))) | ((^[Y0 : $i]: ((^[Y1 : $i]: ((^[Y2 : $i]: (Y2)))))) != (X2 @ (sK9 @ (^[Y0 : $i > $i > $o]: ((sF2 @ (^[Y1 : $i]: (sF2 @ (Y0 @ Y1)))) => (Y0 @ (sK8 @ (^[Y1 : $i]: (sF2 @ (Y0 @ Y1)))) @ (sK8 @ (^[Y1 : $i]: (Y0 @ (sK8 @ (^[Y2 : $i]: (sF2 @ (^[Y3 : $i]: (Y0 @ Y2 @ (X2 @ Y0 @ Y1 @ Y2 @ Y3)))))) @ Y1))))))))) | ((^[Y0 : $i]: ((^[Y1 : $i]: ((^[Y2 : $i > $i > $o]: ((^[Y3 : $i]: ((^[Y4 : $i]: ((^[Y5 : $i]: (Y2 @ (X0 @ Y2 @ Y3 @ Y4 @ Y5) @ (X1 @ Y2 @ Y3 @ Y4 @ Y5))))))))))))) != (^[Y0 : $i]: ((^[Y1 : $i]: ((^[Y2 : $i > $i > $o]: ((^[Y3 : $i]: ((^[Y4 : $i]: ((^[Y5 : $i]: (Y2 @ Y4 @ (X2 @ Y2 @ Y3 @ Y4 @ Y5)))))))))))))) | ((sK8 @ (^[Y0 : $i]: (sK13 @ (^[Y1 : $i > $i > $o]: ((^[Y2 : $i]: (sK8 @ (^[Y3 : $i]: (sF2 @ (^[Y4 : $i]: (Y1 @ Y3 @ (X2 @ Y1 @ Y2 @ Y3 @ Y4))))))))) @ (^[Y1 : $i > $i > $o]: ((^[Y2 : $i]: (sK8 @ (^[Y3 : $i]: (sF2 @ (^[Y4 : $i]: (Y1 @ (X0 @ Y1 @ Y2 @ Y3 @ Y4) @ (X1 @ Y1 @ Y2 @ Y3 @ Y4))))))))) @ (sK8 @ (^[Y1 : $i]: (sF2 @ (^[Y2 : $i]: (sK13 @ (^[Y3 : $i > $i > $o]: ((^[Y4 : $i]: (sK8 @ (^[Y5 : $i]: (sF2 @ (^[Y6 : $i]: (Y3 @ Y5 @ (X2 @ Y3 @ Y4 @ Y5 @ Y6))))))))) @ (^[Y3 : $i > $i > $o]: ((^[Y4 : $i]: (sK8 @ (^[Y5 : $i]: (sF2 @ (^[Y6 : $i]: (Y3 @ (X0 @ Y3 @ Y4 @ Y5 @ Y6) @ (X1 @ Y3 @ Y4 @ Y5 @ Y6))))))))) @ (X0 @ (sK13 @ (^[Y3 : $i > $i > $o]: ((^[Y4 : $i]: (sK8 @ (^[Y5 : $i]: (sF2 @ (^[Y6 : $i]: (Y3 @ Y5 @ (X2 @ Y3 @ Y4 @ Y5 @ Y6))))))))) @ (^[Y3 : $i > $i > $o]: ((^[Y4 : $i]: (sK8 @ (^[Y5 : $i]: (sF2 @ (^[Y6 : $i]: (Y3 @ (X0 @ Y3 @ Y4 @ Y5 @ Y6) @ (X1 @ Y3 @ Y4 @ Y5 @ Y6)))))))))) @ Y0 @ Y1 @ Y2) @ (X1 @ (sK13 @ (^[Y3 : $i > $i > $o]: ((^[Y4 : $i]: (sK8 @ (^[Y5 : $i]: (sF2 @ (^[Y6 : $i]: (Y3 @ Y5 @ (X2 @ Y3 @ Y4 @ Y5 @ Y6))))))))) @ (^[Y3 : $i > $i > $o]: ((^[Y4 : $i]: (sK8 @ (^[Y5 : $i]: (sF2 @ (^[Y6 : $i]: (Y3 @ (X0 @ Y3 @ Y4 @ Y5 @ Y6) @ (X1 @ Y3 @ Y4 @ Y5 @ Y6)))))))))) @ Y0 @ Y1 @ Y2)))))) @ Y0))) != (sK8 @ (^[Y0 : $i]: (sK13 @ (^[Y1 : $i > $i > $o]: ((^[Y2 : $i]: (sK8 @ (^[Y3 : $i]: (sF2 @ (^[Y4 : $i]: (Y1 @ Y3 @ (X2 @ Y1 @ Y2 @ Y3 @ Y4))))))))) @ (^[Y1 : $i > $i > $o]: ((^[Y2 : $i]: (sK8 @ (^[Y3 : $i]: (sF2 @ (^[Y4 : $i]: (Y1 @ (X0 @ Y1 @ Y2 @ Y3 @ Y4) @ (X1 @ Y1 @ Y2 @ Y3 @ Y4))))))))) @ (sK8 @ (^[Y1 : $i]: (sF2 @ (^[Y2 : $i]: (sK13 @ (^[Y3 : $i > $i > $o]: ((^[Y4 : $i]: (sK8 @ (^[Y5 : $i]: (sF2 @ (^[Y6 : $i]: (Y3 @ Y5 @ (X2 @ Y3 @ Y4 @ Y5 @ Y6))))))))) @ (^[Y3 : $i > $i > $o]: ((^[Y4 : $i]: (sK8 @ (^[Y5 : $i]: (sF2 @ (^[Y6 : $i]: (Y3 @ (X0 @ Y3 @ Y4 @ Y5 @ Y6) @ (X1 @ Y3 @ Y4 @ Y5 @ Y6))))))))) @ Y1 @ (X2 @ (sK13 @ (^[Y3 : $i > $i > $o]: ((^[Y4 : $i]: (sK8 @ (^[Y5 : $i]: (sF2 @ (^[Y6 : $i]: (Y3 @ Y5 @ (X2 @ Y3 @ Y4 @ Y5 @ Y6))))))))) @ (^[Y3 : $i > $i > $o]: ((^[Y4 : $i]: (sK8 @ (^[Y5 : $i]: (sF2 @ (^[Y6 : $i]: (Y3 @ (X0 @ Y3 @ Y4 @ Y5 @ Y6) @ (X1 @ Y3 @ Y4 @ Y5 @ Y6)))))))))) @ Y0 @ Y1 @ Y2)))))) @ Y0)))) | ((^[Y0 : $i]: ((^[Y1 : $i]: ((^[Y2 : $i]: (X1)))))) != (^[Y0 : $i]: ((^[Y1 : $i]: ((^[Y2 : $i]: (X2)))))))) ) | ~spl6_1),
% 2.60/0.69 inference(beta_eta_normalization,[],[f216])).
% 2.60/0.69 thf(f216,plain,(
% 2.60/0.69 ( ! [X2 : ($i > $i > $o) > $i > $i > $i > $i,X0 : ($i > $i > $o) > $i > $i > $i > $i,X1 : ($i > $i > $o) > $i > $i > $i > $i] : (((^[Y0 : $i]: ((^[Y1 : $i]: ((^[Y2 : $i]: (Y2)))))) != (X2 @ (sK9 @ (^[Y0 : $i > $i > $o]: ((sF2 @ (^[Y1 : $i]: (sF2 @ (Y0 @ Y1)))) => (Y0 @ (sK8 @ (^[Y1 : $i]: (sF2 @ (Y0 @ Y1)))) @ (sK8 @ (^[Y1 : $i]: (Y0 @ (sK8 @ (^[Y2 : $i]: (sF2 @ (^[Y3 : $i]: (Y0 @ ((^[Y4 : $i > $i > $o]: ((^[Y5 : $i]: ((^[Y6 : $i]: ((^[Y7 : $i]: (Y6)))))))) @ Y0 @ Y1 @ Y2 @ Y3) @ (X2 @ Y0 @ Y1 @ Y2 @ Y3)))))) @ Y1))))))))) | ((^[Y0 : $i]: ((^[Y1 : $i]: ((^[Y2 : $i > $i > $o]: ((^[Y3 : $i]: ((^[Y4 : $i]: ((^[Y5 : $i]: (Y2 @ (X0 @ Y2 @ Y3 @ Y4 @ Y5) @ (X1 @ Y2 @ Y3 @ Y4 @ Y5))))))))))))) != (^[Y0 : $i]: ((^[Y1 : $i]: ((^[Y2 : $i > $i > $o]: ((^[Y3 : $i]: ((^[Y4 : $i]: ((^[Y5 : $i]: (Y2 @ ((^[Y6 : $i > $i > $o]: ((^[Y7 : $i]: ((^[Y8 : $i]: ((^[Y9 : $i]: (Y8)))))))) @ Y2 @ Y3 @ Y4 @ Y5) @ (X2 @ Y2 @ Y3 @ Y4 @ Y5)))))))))))))) | ((sK8 @ (^[Y0 : $i]: (sK13 @ (^[Y1 : $i > $i > $o]: ((^[Y2 : $i]: (sK8 @ (^[Y3 : $i]: (sF2 @ (^[Y4 : $i]: (Y1 @ ((^[Y5 : $i > $i > $o]: ((^[Y6 : $i]: ((^[Y7 : $i]: ((^[Y8 : $i]: (Y7)))))))) @ Y1 @ Y2 @ Y3 @ Y4) @ (X2 @ Y1 @ Y2 @ Y3 @ Y4))))))))) @ (^[Y1 : $i > $i > $o]: ((^[Y2 : $i]: (sK8 @ (^[Y3 : $i]: (sF2 @ (^[Y4 : $i]: (Y1 @ (X0 @ Y1 @ Y2 @ Y3 @ Y4) @ (X1 @ Y1 @ Y2 @ Y3 @ Y4))))))))) @ (sK8 @ (^[Y1 : $i]: (sF2 @ (^[Y2 : $i]: (sK13 @ (^[Y3 : $i > $i > $o]: ((^[Y4 : $i]: (sK8 @ (^[Y5 : $i]: (sF2 @ (^[Y6 : $i]: (Y3 @ ((^[Y7 : $i > $i > $o]: ((^[Y8 : $i]: ((^[Y9 : $i]: ((^[Y10 : $i]: (Y9)))))))) @ Y3 @ Y4 @ Y5 @ Y6) @ (X2 @ Y3 @ Y4 @ Y5 @ Y6))))))))) @ (^[Y3 : $i > $i > $o]: ((^[Y4 : $i]: (sK8 @ (^[Y5 : $i]: (sF2 @ (^[Y6 : $i]: (Y3 @ (X0 @ Y3 @ Y4 @ Y5 @ Y6) @ (X1 @ Y3 @ Y4 @ Y5 @ Y6))))))))) @ (X0 @ (sK13 @ (^[Y3 : $i > $i > $o]: ((^[Y4 : $i]: (sK8 @ (^[Y5 : $i]: (sF2 @ (^[Y6 : $i]: (Y3 @ ((^[Y7 : $i > $i > $o]: ((^[Y8 : $i]: ((^[Y9 : $i]: ((^[Y10 : $i]: (Y9)))))))) @ Y3 @ Y4 @ Y5 @ Y6) @ (X2 @ Y3 @ Y4 @ Y5 @ Y6))))))))) @ (^[Y3 : $i > $i > $o]: ((^[Y4 : $i]: (sK8 @ (^[Y5 : $i]: (sF2 @ (^[Y6 : $i]: (Y3 @ (X0 @ Y3 @ Y4 @ Y5 @ Y6) @ (X1 @ Y3 @ Y4 @ Y5 @ Y6)))))))))) @ Y0 @ Y1 @ Y2) @ (X1 @ (sK13 @ (^[Y3 : $i > $i > $o]: ((^[Y4 : $i]: (sK8 @ (^[Y5 : $i]: (sF2 @ (^[Y6 : $i]: (Y3 @ ((^[Y7 : $i > $i > $o]: ((^[Y8 : $i]: ((^[Y9 : $i]: ((^[Y10 : $i]: (Y9)))))))) @ Y3 @ Y4 @ Y5 @ Y6) @ (X2 @ Y3 @ Y4 @ Y5 @ Y6))))))))) @ (^[Y3 : $i > $i > $o]: ((^[Y4 : $i]: (sK8 @ (^[Y5 : $i]: (sF2 @ (^[Y6 : $i]: (Y3 @ (X0 @ Y3 @ Y4 @ Y5 @ Y6) @ (X1 @ Y3 @ Y4 @ Y5 @ Y6)))))))))) @ Y0 @ Y1 @ Y2)))))) @ Y0))) != (sK8 @ (^[Y0 : $i]: (sK13 @ (^[Y1 : $i > $i > $o]: ((^[Y2 : $i]: (sK8 @ (^[Y3 : $i]: (sF2 @ (^[Y4 : $i]: (Y1 @ ((^[Y5 : $i > $i > $o]: ((^[Y6 : $i]: ((^[Y7 : $i]: ((^[Y8 : $i]: (Y7)))))))) @ Y1 @ Y2 @ Y3 @ Y4) @ (X2 @ Y1 @ Y2 @ Y3 @ Y4))))))))) @ (^[Y1 : $i > $i > $o]: ((^[Y2 : $i]: (sK8 @ (^[Y3 : $i]: (sF2 @ (^[Y4 : $i]: (Y1 @ (X0 @ Y1 @ Y2 @ Y3 @ Y4) @ (X1 @ Y1 @ Y2 @ Y3 @ Y4))))))))) @ (sK8 @ (^[Y1 : $i]: (sF2 @ (^[Y2 : $i]: (sK13 @ (^[Y3 : $i > $i > $o]: ((^[Y4 : $i]: (sK8 @ (^[Y5 : $i]: (sF2 @ (^[Y6 : $i]: (Y3 @ ((^[Y7 : $i > $i > $o]: ((^[Y8 : $i]: ((^[Y9 : $i]: ((^[Y10 : $i]: (Y9)))))))) @ Y3 @ Y4 @ Y5 @ Y6) @ (X2 @ Y3 @ Y4 @ Y5 @ Y6))))))))) @ (^[Y3 : $i > $i > $o]: ((^[Y4 : $i]: (sK8 @ (^[Y5 : $i]: (sF2 @ (^[Y6 : $i]: (Y3 @ (X0 @ Y3 @ Y4 @ Y5 @ Y6) @ (X1 @ Y3 @ Y4 @ Y5 @ Y6))))))))) @ ((^[Y3 : $i > $i > $o]: ((^[Y4 : $i]: ((^[Y5 : $i]: ((^[Y6 : $i]: (Y5)))))))) @ (sK13 @ (^[Y3 : $i > $i > $o]: ((^[Y4 : $i]: (sK8 @ (^[Y5 : $i]: (sF2 @ (^[Y6 : $i]: (Y3 @ ((^[Y7 : $i > $i > $o]: ((^[Y8 : $i]: ((^[Y9 : $i]: ((^[Y10 : $i]: (Y9)))))))) @ Y3 @ Y4 @ Y5 @ Y6) @ (X2 @ Y3 @ Y4 @ Y5 @ Y6))))))))) @ (^[Y3 : $i > $i > $o]: ((^[Y4 : $i]: (sK8 @ (^[Y5 : $i]: (sF2 @ (^[Y6 : $i]: (Y3 @ (X0 @ Y3 @ Y4 @ Y5 @ Y6) @ (X1 @ Y3 @ Y4 @ Y5 @ Y6)))))))))) @ Y0 @ Y1 @ Y2) @ (X2 @ (sK13 @ (^[Y3 : $i > $i > $o]: ((^[Y4 : $i]: (sK8 @ (^[Y5 : $i]: (sF2 @ (^[Y6 : $i]: (Y3 @ ((^[Y7 : $i > $i > $o]: ((^[Y8 : $i]: ((^[Y9 : $i]: ((^[Y10 : $i]: (Y9)))))))) @ Y3 @ Y4 @ Y5 @ Y6) @ (X2 @ Y3 @ Y4 @ Y5 @ Y6))))))))) @ (^[Y3 : $i > $i > $o]: ((^[Y4 : $i]: (sK8 @ (^[Y5 : $i]: (sF2 @ (^[Y6 : $i]: (Y3 @ (X0 @ Y3 @ Y4 @ Y5 @ Y6) @ (X1 @ Y3 @ Y4 @ Y5 @ Y6)))))))))) @ Y0 @ Y1 @ Y2)))))) @ Y0)))) | ((^[Y0 : $i]: ((^[Y1 : $i]: ((^[Y2 : $i]: (X0)))))) != (^[Y0 : $i]: ((^[Y1 : $i]: ((^[Y2 : $i]: ((^[Y3 : $i > $i > $o]: ((^[Y4 : $i]: ((^[Y5 : $i]: ((^[Y6 : $i]: (Y5))))))))))))))) | ((^[Y0 : $i]: ((^[Y1 : $i]: ((^[Y2 : $i]: (X1)))))) != (^[Y0 : $i]: ((^[Y1 : $i]: ((^[Y2 : $i]: (X2)))))))) ) | ~spl6_1),
% 2.60/0.69 inference(equality_resolution,[],[f215])).
% 2.60/0.69 thf(f215,plain,(
% 2.60/0.69 ( ! [X2 : ($i > $i > $o) > $i > $i > $i > $i,X3 : ($i > $i > $o) > $i > $i > $i > $i,X0 : ($i > $i > $o) > $i > $i > $i > $i,X1 : ($i > $i > $o) > $i > $i > $i > $i] : (((^[Y0 : $i]: ((^[Y1 : $i]: ((^[Y2 : $i]: (Y1)))))) != (X0 @ (sK9 @ (^[Y0 : $i > $i > $o]: ((sF2 @ (^[Y1 : $i]: (sF2 @ (Y0 @ Y1)))) => (Y0 @ (sK8 @ (^[Y1 : $i]: (sF2 @ (Y0 @ Y1)))) @ (sK8 @ (^[Y1 : $i]: (Y0 @ (sK8 @ (^[Y2 : $i]: (sF2 @ (^[Y3 : $i]: (Y0 @ (X0 @ Y0 @ Y1 @ Y2 @ Y3) @ (X2 @ Y0 @ Y1 @ Y2 @ Y3)))))) @ Y1))))))))) | ((^[Y0 : $i]: ((^[Y1 : $i]: ((^[Y2 : $i > $i > $o]: ((^[Y3 : $i]: ((^[Y4 : $i]: ((^[Y5 : $i]: (Y2 @ (X1 @ Y2 @ Y3 @ Y4 @ Y5) @ (X3 @ Y2 @ Y3 @ Y4 @ Y5))))))))))))) != (^[Y0 : $i]: ((^[Y1 : $i]: ((^[Y2 : $i > $i > $o]: ((^[Y3 : $i]: ((^[Y4 : $i]: ((^[Y5 : $i]: (Y2 @ (X0 @ Y2 @ Y3 @ Y4 @ Y5) @ (X2 @ Y2 @ Y3 @ Y4 @ Y5)))))))))))))) | ((sK8 @ (^[Y0 : $i]: (sK13 @ (^[Y1 : $i > $i > $o]: ((^[Y2 : $i]: (sK8 @ (^[Y3 : $i]: (sF2 @ (^[Y4 : $i]: (Y1 @ (X0 @ Y1 @ Y2 @ Y3 @ Y4) @ (X2 @ Y1 @ Y2 @ Y3 @ Y4))))))))) @ (^[Y1 : $i > $i > $o]: ((^[Y2 : $i]: (sK8 @ (^[Y3 : $i]: (sF2 @ (^[Y4 : $i]: (Y1 @ (X1 @ Y1 @ Y2 @ Y3 @ Y4) @ (X3 @ Y1 @ Y2 @ Y3 @ Y4))))))))) @ (sK8 @ (^[Y1 : $i]: (sF2 @ (^[Y2 : $i]: (sK13 @ (^[Y3 : $i > $i > $o]: ((^[Y4 : $i]: (sK8 @ (^[Y5 : $i]: (sF2 @ (^[Y6 : $i]: (Y3 @ (X0 @ Y3 @ Y4 @ Y5 @ Y6) @ (X2 @ Y3 @ Y4 @ Y5 @ Y6))))))))) @ (^[Y3 : $i > $i > $o]: ((^[Y4 : $i]: (sK8 @ (^[Y5 : $i]: (sF2 @ (^[Y6 : $i]: (Y3 @ (X1 @ Y3 @ Y4 @ Y5 @ Y6) @ (X3 @ Y3 @ Y4 @ Y5 @ Y6))))))))) @ (X1 @ (sK13 @ (^[Y3 : $i > $i > $o]: ((^[Y4 : $i]: (sK8 @ (^[Y5 : $i]: (sF2 @ (^[Y6 : $i]: (Y3 @ (X0 @ Y3 @ Y4 @ Y5 @ Y6) @ (X2 @ Y3 @ Y4 @ Y5 @ Y6))))))))) @ (^[Y3 : $i > $i > $o]: ((^[Y4 : $i]: (sK8 @ (^[Y5 : $i]: (sF2 @ (^[Y6 : $i]: (Y3 @ (X1 @ Y3 @ Y4 @ Y5 @ Y6) @ (X3 @ Y3 @ Y4 @ Y5 @ Y6)))))))))) @ Y0 @ Y1 @ Y2) @ (X3 @ (sK13 @ (^[Y3 : $i > $i > $o]: ((^[Y4 : $i]: (sK8 @ (^[Y5 : $i]: (sF2 @ (^[Y6 : $i]: (Y3 @ (X0 @ Y3 @ Y4 @ Y5 @ Y6) @ (X2 @ Y3 @ Y4 @ Y5 @ Y6))))))))) @ (^[Y3 : $i > $i > $o]: ((^[Y4 : $i]: (sK8 @ (^[Y5 : $i]: (sF2 @ (^[Y6 : $i]: (Y3 @ (X1 @ Y3 @ Y4 @ Y5 @ Y6) @ (X3 @ Y3 @ Y4 @ Y5 @ Y6)))))))))) @ Y0 @ Y1 @ Y2)))))) @ Y0))) != (sK8 @ (^[Y0 : $i]: (sK13 @ (^[Y1 : $i > $i > $o]: ((^[Y2 : $i]: (sK8 @ (^[Y3 : $i]: (sF2 @ (^[Y4 : $i]: (Y1 @ (X0 @ Y1 @ Y2 @ Y3 @ Y4) @ (X2 @ Y1 @ Y2 @ Y3 @ Y4))))))))) @ (^[Y1 : $i > $i > $o]: ((^[Y2 : $i]: (sK8 @ (^[Y3 : $i]: (sF2 @ (^[Y4 : $i]: (Y1 @ (X1 @ Y1 @ Y2 @ Y3 @ Y4) @ (X3 @ Y1 @ Y2 @ Y3 @ Y4))))))))) @ (sK8 @ (^[Y1 : $i]: (sF2 @ (^[Y2 : $i]: (sK13 @ (^[Y3 : $i > $i > $o]: ((^[Y4 : $i]: (sK8 @ (^[Y5 : $i]: (sF2 @ (^[Y6 : $i]: (Y3 @ (X0 @ Y3 @ Y4 @ Y5 @ Y6) @ (X2 @ Y3 @ Y4 @ Y5 @ Y6))))))))) @ (^[Y3 : $i > $i > $o]: ((^[Y4 : $i]: (sK8 @ (^[Y5 : $i]: (sF2 @ (^[Y6 : $i]: (Y3 @ (X1 @ Y3 @ Y4 @ Y5 @ Y6) @ (X3 @ Y3 @ Y4 @ Y5 @ Y6))))))))) @ (X0 @ (sK13 @ (^[Y3 : $i > $i > $o]: ((^[Y4 : $i]: (sK8 @ (^[Y5 : $i]: (sF2 @ (^[Y6 : $i]: (Y3 @ (X0 @ Y3 @ Y4 @ Y5 @ Y6) @ (X2 @ Y3 @ Y4 @ Y5 @ Y6))))))))) @ (^[Y3 : $i > $i > $o]: ((^[Y4 : $i]: (sK8 @ (^[Y5 : $i]: (sF2 @ (^[Y6 : $i]: (Y3 @ (X1 @ Y3 @ Y4 @ Y5 @ Y6) @ (X3 @ Y3 @ Y4 @ Y5 @ Y6)))))))))) @ Y0 @ Y1 @ Y2) @ (X2 @ (sK13 @ (^[Y3 : $i > $i > $o]: ((^[Y4 : $i]: (sK8 @ (^[Y5 : $i]: (sF2 @ (^[Y6 : $i]: (Y3 @ (X0 @ Y3 @ Y4 @ Y5 @ Y6) @ (X2 @ Y3 @ Y4 @ Y5 @ Y6))))))))) @ (^[Y3 : $i > $i > $o]: ((^[Y4 : $i]: (sK8 @ (^[Y5 : $i]: (sF2 @ (^[Y6 : $i]: (Y3 @ (X1 @ Y3 @ Y4 @ Y5 @ Y6) @ (X3 @ Y3 @ Y4 @ Y5 @ Y6)))))))))) @ Y0 @ Y1 @ Y2)))))) @ Y0)))) | ((X2 @ (sK9 @ (^[Y0 : $i > $i > $o]: ((sF2 @ (^[Y1 : $i]: (sF2 @ (Y0 @ Y1)))) => (Y0 @ (sK8 @ (^[Y1 : $i]: (sF2 @ (Y0 @ Y1)))) @ (sK8 @ (^[Y1 : $i]: (Y0 @ (sK8 @ (^[Y2 : $i]: (sF2 @ (^[Y3 : $i]: (Y0 @ (X0 @ Y0 @ Y1 @ Y2 @ Y3) @ (X2 @ Y0 @ Y1 @ Y2 @ Y3)))))) @ Y1)))))))) != (^[Y0 : $i]: ((^[Y1 : $i]: ((^[Y2 : $i]: (Y2))))))) | ((^[Y0 : $i]: ((^[Y1 : $i]: ((^[Y2 : $i]: (X0)))))) != (^[Y0 : $i]: ((^[Y1 : $i]: ((^[Y2 : $i]: (X1))))))) | ((^[Y0 : $i]: ((^[Y1 : $i]: ((^[Y2 : $i]: (X2)))))) != (^[Y0 : $i]: ((^[Y1 : $i]: ((^[Y2 : $i]: (X3)))))))) ) | ~spl6_1),
% 2.60/0.69 inference(beta_eta_normalization,[],[f214])).
% 2.60/0.69 thf(f214,plain,(
% 2.60/0.69 ( ! [X2 : ($i > $i > $o) > $i > $i > $i > $i,X3 : ($i > $i > $o) > $i > $i > $i > $i,X0 : ($i > $i > $o) > $i > $i > $i > $i,X1 : ($i > $i > $o) > $i > $i > $i > $i] : (((^[Y0 : $i]: ((^[Y1 : $i]: ((^[Y2 : $i]: ((^[Y3 : $i > $i > $o]: ((^[Y4 : $i]: ((^[Y5 : $i]: ((^[Y6 : $i]: (X3 @ Y3 @ Y4 @ Y5 @ Y6)))))))))))))) != (^[Y0 : $i]: ((^[Y1 : $i]: ((^[Y2 : $i]: ((^[Y3 : $i > $i > $o]: ((^[Y4 : $i]: ((^[Y5 : $i]: ((^[Y6 : $i]: (X2 @ Y3 @ Y4 @ Y5 @ Y6))))))))))))))) | ((^[Y0 : $i]: ((^[Y1 : $i]: ((^[Y2 : $i > $i > $o]: ((^[Y3 : $i]: ((^[Y4 : $i]: ((^[Y5 : $i]: (Y2 @ (X1 @ Y2 @ Y3 @ Y4 @ Y5) @ (X3 @ Y2 @ Y3 @ Y4 @ Y5))))))))))))) != (^[Y0 : $i]: ((^[Y1 : $i]: ((^[Y2 : $i > $i > $o]: ((^[Y3 : $i]: ((^[Y4 : $i]: ((^[Y5 : $i]: (Y2 @ (X0 @ Y2 @ Y3 @ Y4 @ Y5) @ (X2 @ Y2 @ Y3 @ Y4 @ Y5)))))))))))))) | ((^[Y0 : $i]: ((^[Y1 : $i]: ((^[Y2 : $i]: (X0 @ (sK9 @ (^[Y3 : $i > $i > $o]: ((sF2 @ (^[Y4 : $i]: (sF2 @ (Y3 @ Y4)))) => (Y3 @ (sK8 @ (^[Y4 : $i]: (sF2 @ (Y3 @ Y4)))) @ (sK8 @ (^[Y4 : $i]: (Y3 @ (sK8 @ (^[Y5 : $i]: (sF2 @ ((^[Y6 : $i > $i > $o]: ((^[Y7 : $i]: ((^[Y8 : $i]: ((^[Y9 : $i]: (Y6 @ (X0 @ Y6 @ Y7 @ Y8 @ Y9) @ (X2 @ Y6 @ Y7 @ Y8 @ Y9))))))))) @ Y3 @ Y4 @ Y5)))) @ Y4))))))) @ Y0 @ Y1 @ Y2)))))) != (^[Y0 : $i]: ((^[Y1 : $i]: ((^[Y2 : $i]: (Y1))))))) | ((^[Y0 : $i]: ((^[Y1 : $i]: ((^[Y2 : $i]: ((^[Y3 : $i > $i > $o]: ((^[Y4 : $i]: ((^[Y5 : $i]: ((^[Y6 : $i]: (X1 @ Y3 @ Y4 @ Y5 @ Y6)))))))))))))) != (^[Y0 : $i]: ((^[Y1 : $i]: ((^[Y2 : $i]: ((^[Y3 : $i > $i > $o]: ((^[Y4 : $i]: ((^[Y5 : $i]: ((^[Y6 : $i]: (X0 @ Y3 @ Y4 @ Y5 @ Y6))))))))))))))) | ((^[Y0 : $i]: ((^[Y1 : $i]: ((^[Y2 : $i]: (Y2)))))) != (^[Y0 : $i]: ((^[Y1 : $i]: ((^[Y2 : $i]: (X2 @ (sK9 @ (^[Y3 : $i > $i > $o]: ((sF2 @ (^[Y4 : $i]: (sF2 @ (Y3 @ Y4)))) => (Y3 @ (sK8 @ (^[Y4 : $i]: (sF2 @ (Y3 @ Y4)))) @ (sK8 @ (^[Y4 : $i]: (Y3 @ (sK8 @ (^[Y5 : $i]: (sF2 @ ((^[Y6 : $i > $i > $o]: ((^[Y7 : $i]: ((^[Y8 : $i]: ((^[Y9 : $i]: (Y6 @ (X0 @ Y6 @ Y7 @ Y8 @ Y9) @ (X2 @ Y6 @ Y7 @ Y8 @ Y9))))))))) @ Y3 @ Y4 @ Y5)))) @ Y4))))))) @ Y0 @ Y1 @ Y2))))))) | ((sK8 @ (^[Y0 : $i]: (sK13 @ (^[Y1 : $i > $i > $o]: ((^[Y2 : $i]: (sK8 @ (^[Y3 : $i]: (sF2 @ ((^[Y4 : $i > $i > $o]: ((^[Y5 : $i]: ((^[Y6 : $i]: ((^[Y7 : $i]: (Y4 @ (X0 @ Y4 @ Y5 @ Y6 @ Y7) @ (X2 @ Y4 @ Y5 @ Y6 @ Y7))))))))) @ Y1 @ Y2 @ Y3))))))) @ (^[Y1 : $i > $i > $o]: ((^[Y2 : $i]: (sK8 @ (^[Y3 : $i]: (sF2 @ ((^[Y4 : $i > $i > $o]: ((^[Y5 : $i]: ((^[Y6 : $i]: ((^[Y7 : $i]: (Y4 @ (X1 @ Y4 @ Y5 @ Y6 @ Y7) @ (X3 @ Y4 @ Y5 @ Y6 @ Y7))))))))) @ Y1 @ Y2 @ Y3))))))) @ (sK8 @ (^[Y1 : $i]: (sF2 @ ((^[Y2 : $i > $i > $o]: ((^[Y3 : $i]: ((^[Y4 : $i]: ((^[Y5 : $i]: (Y2 @ (X1 @ Y2 @ Y3 @ Y4 @ Y5) @ (X3 @ Y2 @ Y3 @ Y4 @ Y5))))))))) @ (sK13 @ (^[Y2 : $i > $i > $o]: ((^[Y3 : $i]: (sK8 @ (^[Y4 : $i]: (sF2 @ ((^[Y5 : $i > $i > $o]: ((^[Y6 : $i]: ((^[Y7 : $i]: ((^[Y8 : $i]: (Y5 @ (X0 @ Y5 @ Y6 @ Y7 @ Y8) @ (X2 @ Y5 @ Y6 @ Y7 @ Y8))))))))) @ Y2 @ Y3 @ Y4))))))) @ (^[Y2 : $i > $i > $o]: ((^[Y3 : $i]: (sK8 @ (^[Y4 : $i]: (sF2 @ ((^[Y5 : $i > $i > $o]: ((^[Y6 : $i]: ((^[Y7 : $i]: ((^[Y8 : $i]: (Y5 @ (X1 @ Y5 @ Y6 @ Y7 @ Y8) @ (X3 @ Y5 @ Y6 @ Y7 @ Y8))))))))) @ Y2 @ Y3 @ Y4)))))))) @ Y0 @ Y1)))) @ Y0))) != (sK8 @ (^[Y0 : $i]: (sK13 @ (^[Y1 : $i > $i > $o]: ((^[Y2 : $i]: (sK8 @ (^[Y3 : $i]: (sF2 @ ((^[Y4 : $i > $i > $o]: ((^[Y5 : $i]: ((^[Y6 : $i]: ((^[Y7 : $i]: (Y4 @ (X0 @ Y4 @ Y5 @ Y6 @ Y7) @ (X2 @ Y4 @ Y5 @ Y6 @ Y7))))))))) @ Y1 @ Y2 @ Y3))))))) @ (^[Y1 : $i > $i > $o]: ((^[Y2 : $i]: (sK8 @ (^[Y3 : $i]: (sF2 @ ((^[Y4 : $i > $i > $o]: ((^[Y5 : $i]: ((^[Y6 : $i]: ((^[Y7 : $i]: (Y4 @ (X1 @ Y4 @ Y5 @ Y6 @ Y7) @ (X3 @ Y4 @ Y5 @ Y6 @ Y7))))))))) @ Y1 @ Y2 @ Y3))))))) @ (sK8 @ (^[Y1 : $i]: (sF2 @ ((^[Y2 : $i > $i > $o]: ((^[Y3 : $i]: ((^[Y4 : $i]: ((^[Y5 : $i]: (Y2 @ (X0 @ Y2 @ Y3 @ Y4 @ Y5) @ (X2 @ Y2 @ Y3 @ Y4 @ Y5))))))))) @ (sK13 @ (^[Y2 : $i > $i > $o]: ((^[Y3 : $i]: (sK8 @ (^[Y4 : $i]: (sF2 @ ((^[Y5 : $i > $i > $o]: ((^[Y6 : $i]: ((^[Y7 : $i]: ((^[Y8 : $i]: (Y5 @ (X0 @ Y5 @ Y6 @ Y7 @ Y8) @ (X2 @ Y5 @ Y6 @ Y7 @ Y8))))))))) @ Y2 @ Y3 @ Y4))))))) @ (^[Y2 : $i > $i > $o]: ((^[Y3 : $i]: (sK8 @ (^[Y4 : $i]: (sF2 @ ((^[Y5 : $i > $i > $o]: ((^[Y6 : $i]: ((^[Y7 : $i]: ((^[Y8 : $i]: (Y5 @ (X1 @ Y5 @ Y6 @ Y7 @ Y8) @ (X3 @ Y5 @ Y6 @ Y7 @ Y8))))))))) @ Y2 @ Y3 @ Y4)))))))) @ Y0 @ Y1)))) @ Y0))))) ) | ~spl6_1),
% 2.60/0.69 inference(equality_resolution,[],[f213])).
% 2.60/0.69 thf(f213,plain,(
% 2.60/0.69 ( ! [X0 : ($i > $i > $o) > $i > $i > $i > $o,X1 : ($i > $i > $o) > $i > $i > $i > $o] : (((X1 @ (sK9 @ (^[Y0 : $i > $i > $o]: ((sF2 @ (^[Y1 : $i]: (sF2 @ (Y0 @ Y1)))) => (Y0 @ (sK8 @ (^[Y1 : $i]: (sF2 @ (Y0 @ Y1)))) @ (sK8 @ (^[Y1 : $i]: (Y0 @ (sK8 @ (^[Y2 : $i]: (sF2 @ (X1 @ Y0 @ Y1 @ Y2)))) @ Y1)))))))) != (^[Y0 : $i]: (sK9 @ (^[Y1 : $i > $i > $o]: ((sF2 @ (^[Y2 : $i]: (sF2 @ (Y1 @ Y2)))) => (Y1 @ (sK8 @ (^[Y2 : $i]: (sF2 @ (Y1 @ Y2)))) @ (sK8 @ (^[Y2 : $i]: (Y1 @ (sK8 @ (^[Y3 : $i]: (sF2 @ (X0 @ Y1 @ Y2 @ Y3)))) @ Y2))))))))) | ((sK8 @ (^[Y0 : $i]: (sK13 @ (^[Y1 : $i > $i > $o]: ((^[Y2 : $i]: (sK8 @ (^[Y3 : $i]: (sF2 @ (X1 @ Y1 @ Y2 @ Y3))))))) @ (^[Y1 : $i > $i > $o]: ((^[Y2 : $i]: (sK8 @ (^[Y3 : $i]: (sF2 @ (X0 @ Y1 @ Y2 @ Y3))))))) @ (sK8 @ (^[Y1 : $i]: (sF2 @ (X1 @ (sK13 @ (^[Y2 : $i > $i > $o]: ((^[Y3 : $i]: (sK8 @ (^[Y4 : $i]: (sF2 @ (X1 @ Y2 @ Y3 @ Y4))))))) @ (^[Y2 : $i > $i > $o]: ((^[Y3 : $i]: (sK8 @ (^[Y4 : $i]: (sF2 @ (X0 @ Y2 @ Y3 @ Y4)))))))) @ Y0 @ Y1)))) @ Y0))) != (sK8 @ (^[Y0 : $i]: (sK13 @ (^[Y1 : $i > $i > $o]: ((^[Y2 : $i]: (sK8 @ (^[Y3 : $i]: (sF2 @ (X1 @ Y1 @ Y2 @ Y3))))))) @ (^[Y1 : $i > $i > $o]: ((^[Y2 : $i]: (sK8 @ (^[Y3 : $i]: (sF2 @ (X0 @ Y1 @ Y2 @ Y3))))))) @ (sK8 @ (^[Y1 : $i]: (sF2 @ (X0 @ (sK13 @ (^[Y2 : $i > $i > $o]: ((^[Y3 : $i]: (sK8 @ (^[Y4 : $i]: (sF2 @ (X1 @ Y2 @ Y3 @ Y4))))))) @ (^[Y2 : $i > $i > $o]: ((^[Y3 : $i]: (sK8 @ (^[Y4 : $i]: (sF2 @ (X0 @ Y2 @ Y3 @ Y4)))))))) @ Y0 @ Y1)))) @ Y0)))) | ((^[Y0 : $i]: ((^[Y1 : $i]: (X1)))) != (^[Y0 : $i]: ((^[Y1 : $i]: (X0)))))) ) | ~spl6_1),
% 2.60/0.69 inference(beta_eta_normalization,[],[f212])).
% 2.60/0.69 thf(f212,plain,(
% 2.60/0.69 ( ! [X0 : ($i > $i > $o) > $i > $i > $i > $o,X1 : ($i > $i > $o) > $i > $i > $i > $o] : (((sK8 @ (^[Y0 : $i]: (sK13 @ (^[Y1 : $i > $i > $o]: ((^[Y2 : $i]: (sK8 @ (^[Y3 : $i]: (sF2 @ (X1 @ Y1 @ Y2 @ Y3))))))) @ (^[Y1 : $i > $i > $o]: ((^[Y2 : $i]: (sK8 @ ((^[Y3 : $i > $i > $o]: ((^[Y4 : $i]: ((^[Y5 : $i]: (sF2 @ (X0 @ Y3 @ Y4 @ Y5))))))) @ Y1 @ Y2))))) @ (sK8 @ (^[Y1 : $i]: (sF2 @ (X1 @ (sK13 @ (^[Y2 : $i > $i > $o]: ((^[Y3 : $i]: (sK8 @ (^[Y4 : $i]: (sF2 @ (X1 @ Y2 @ Y3 @ Y4))))))) @ (^[Y2 : $i > $i > $o]: ((^[Y3 : $i]: (sK8 @ ((^[Y4 : $i > $i > $o]: ((^[Y5 : $i]: ((^[Y6 : $i]: (sF2 @ (X0 @ Y4 @ Y5 @ Y6))))))) @ Y2 @ Y3)))))) @ Y0 @ Y1)))) @ Y0))) != (sK8 @ (^[Y0 : $i]: (sK13 @ (^[Y1 : $i > $i > $o]: ((^[Y2 : $i]: (sK8 @ (^[Y3 : $i]: (sF2 @ (X1 @ Y1 @ Y2 @ Y3))))))) @ (^[Y1 : $i > $i > $o]: ((^[Y2 : $i]: (sK8 @ ((^[Y3 : $i > $i > $o]: ((^[Y4 : $i]: ((^[Y5 : $i]: (sF2 @ (X0 @ Y3 @ Y4 @ Y5))))))) @ Y1 @ Y2))))) @ ((^[Y1 : $i > $i > $o]: ((^[Y2 : $i]: (sK8 @ ((^[Y3 : $i > $i > $o]: ((^[Y4 : $i]: ((^[Y5 : $i]: (sF2 @ (X0 @ Y3 @ Y4 @ Y5))))))) @ Y1 @ Y2))))) @ (sK13 @ (^[Y1 : $i > $i > $o]: ((^[Y2 : $i]: (sK8 @ (^[Y3 : $i]: (sF2 @ (X1 @ Y1 @ Y2 @ Y3))))))) @ (^[Y1 : $i > $i > $o]: ((^[Y2 : $i]: (sK8 @ ((^[Y3 : $i > $i > $o]: ((^[Y4 : $i]: ((^[Y5 : $i]: (sF2 @ (X0 @ Y3 @ Y4 @ Y5))))))) @ Y1 @ Y2)))))) @ Y0) @ Y0)))) | ((^[Y0 : $i]: (sK9 @ (^[Y1 : $i > $i > $o]: ((sF2 @ (^[Y2 : $i]: (sF2 @ (Y1 @ Y2)))) => (Y1 @ (sK8 @ (^[Y2 : $i]: (sF2 @ (Y1 @ Y2)))) @ (sK8 @ (^[Y2 : $i]: (Y1 @ ((^[Y3 : $i > $i > $o]: ((^[Y4 : $i]: (sK8 @ ((^[Y5 : $i > $i > $o]: ((^[Y6 : $i]: ((^[Y7 : $i]: (sF2 @ (X0 @ Y5 @ Y6 @ Y7))))))) @ Y3 @ Y4))))) @ Y1 @ Y2) @ Y2)))))))) != (X1 @ (sK9 @ (^[Y0 : $i > $i > $o]: ((sF2 @ (^[Y1 : $i]: (sF2 @ (Y0 @ Y1)))) => (Y0 @ (sK8 @ (^[Y1 : $i]: (sF2 @ (Y0 @ Y1)))) @ (sK8 @ (^[Y1 : $i]: (Y0 @ (sK8 @ (^[Y2 : $i]: (sF2 @ (X1 @ Y0 @ Y1 @ Y2)))) @ Y1))))))))) | ((^[Y0 : $i]: ((^[Y1 : $i]: ((^[Y2 : $i > $i > $o]: ((^[Y3 : $i]: ((^[Y4 : $i]: (X0 @ Y2 @ Y3 @ Y4)))))))))) != (^[Y0 : $i]: ((^[Y1 : $i]: ((^[Y2 : $i > $i > $o]: ((^[Y3 : $i]: ((^[Y4 : $i]: (X1 @ Y2 @ Y3 @ Y4)))))))))))) ) | ~spl6_1),
% 2.60/0.69 inference(equality_resolution,[],[f211])).
% 2.60/0.69 thf(f211,plain,(
% 2.60/0.69 ( ! [X0 : ($i > $i > $o) > $i > $i,X1 : ($i > $i > $o) > $i > $i > $i > $o] : (((^[Y0 : $i]: ((^[Y1 : $i]: (X0)))) != (^[Y0 : $i]: ((^[Y1 : $i]: ((^[Y2 : $i > $i > $o]: ((^[Y3 : $i]: (sK8 @ (^[Y4 : $i]: (sF2 @ (X1 @ Y2 @ Y3 @ Y4)))))))))))) | ((sK8 @ (^[Y0 : $i]: (sK13 @ (^[Y1 : $i > $i > $o]: ((^[Y2 : $i]: (sK8 @ (^[Y3 : $i]: (sF2 @ (X1 @ Y1 @ Y2 @ Y3))))))) @ X0 @ (sK8 @ (^[Y1 : $i]: (sF2 @ (X1 @ (sK13 @ (^[Y2 : $i > $i > $o]: ((^[Y3 : $i]: (sK8 @ (^[Y4 : $i]: (sF2 @ (X1 @ Y2 @ Y3 @ Y4))))))) @ X0) @ Y0 @ Y1)))) @ Y0))) != (sK8 @ (^[Y0 : $i]: (sK13 @ (^[Y1 : $i > $i > $o]: ((^[Y2 : $i]: (sK8 @ (^[Y3 : $i]: (sF2 @ (X1 @ Y1 @ Y2 @ Y3))))))) @ X0 @ (X0 @ (sK13 @ (^[Y1 : $i > $i > $o]: ((^[Y2 : $i]: (sK8 @ (^[Y3 : $i]: (sF2 @ (X1 @ Y1 @ Y2 @ Y3))))))) @ X0) @ Y0) @ Y0)))) | ((X1 @ (sK9 @ (^[Y0 : $i > $i > $o]: ((sF2 @ (^[Y1 : $i]: (sF2 @ (Y0 @ Y1)))) => (Y0 @ (sK8 @ (^[Y1 : $i]: (sF2 @ (Y0 @ Y1)))) @ (sK8 @ (^[Y1 : $i]: (Y0 @ (sK8 @ (^[Y2 : $i]: (sF2 @ (X1 @ Y0 @ Y1 @ Y2)))) @ Y1)))))))) != (^[Y0 : $i]: (sK9 @ (^[Y1 : $i > $i > $o]: ((sF2 @ (^[Y2 : $i]: (sF2 @ (Y1 @ Y2)))) => (Y1 @ (sK8 @ (^[Y2 : $i]: (sF2 @ (Y1 @ Y2)))) @ (sK8 @ (^[Y2 : $i]: (Y1 @ (X0 @ Y1 @ Y2) @ Y2)))))))))) ) | ~spl6_1),
% 2.60/0.69 inference(beta_eta_normalization,[],[f210])).
% 2.60/0.69 thf(f210,plain,(
% 2.60/0.69 ( ! [X0 : ($i > $i > $o) > $i > $i,X1 : ($i > $i > $o) > $i > $i > $i > $o] : (((^[Y0 : $i]: ((^[Y1 : $i]: (sK9 @ (^[Y2 : $i > $i > $o]: ((sF2 @ (^[Y3 : $i]: (sF2 @ (Y2 @ Y3)))) => (Y2 @ (sK8 @ (^[Y3 : $i]: (sF2 @ (Y2 @ Y3)))) @ (sK8 @ (^[Y3 : $i]: (Y2 @ (X0 @ Y2 @ Y3) @ Y3)))))) @ Y1)))) != (^[Y0 : $i]: ((^[Y1 : $i]: (X1 @ (sK9 @ (^[Y2 : $i > $i > $o]: ((sF2 @ (^[Y3 : $i]: (sF2 @ (Y2 @ Y3)))) => (Y2 @ (sK8 @ (^[Y3 : $i]: (sF2 @ (Y2 @ Y3)))) @ (sK8 @ (^[Y3 : $i]: (Y2 @ ((^[Y4 : $i > $i > $o]: ((^[Y5 : $i]: (sK8 @ ((^[Y6 : $i > $i > $o]: ((^[Y7 : $i]: ((^[Y8 : $i]: (sF2 @ (X1 @ Y6 @ Y7 @ Y8))))))) @ Y4 @ Y5))))) @ Y2 @ Y3) @ Y3))))))) @ Y0 @ Y1))))) | ((sK8 @ (^[Y0 : $i]: (sK13 @ (^[Y1 : $i > $i > $o]: ((^[Y2 : $i]: (sK8 @ ((^[Y3 : $i > $i > $o]: ((^[Y4 : $i]: ((^[Y5 : $i]: (sF2 @ (X1 @ Y3 @ Y4 @ Y5))))))) @ Y1 @ Y2))))) @ X0 @ ((^[Y1 : $i > $i > $o]: ((^[Y2 : $i]: (sK8 @ ((^[Y3 : $i > $i > $o]: ((^[Y4 : $i]: ((^[Y5 : $i]: (sF2 @ (X1 @ Y3 @ Y4 @ Y5))))))) @ Y1 @ Y2))))) @ (sK13 @ (^[Y1 : $i > $i > $o]: ((^[Y2 : $i]: (sK8 @ ((^[Y3 : $i > $i > $o]: ((^[Y4 : $i]: ((^[Y5 : $i]: (sF2 @ (X1 @ Y3 @ Y4 @ Y5))))))) @ Y1 @ Y2))))) @ X0) @ Y0) @ Y0))) != (sK8 @ (^[Y0 : $i]: (sK13 @ (^[Y1 : $i > $i > $o]: ((^[Y2 : $i]: (sK8 @ ((^[Y3 : $i > $i > $o]: ((^[Y4 : $i]: ((^[Y5 : $i]: (sF2 @ (X1 @ Y3 @ Y4 @ Y5))))))) @ Y1 @ Y2))))) @ X0 @ (X0 @ (sK13 @ (^[Y1 : $i > $i > $o]: ((^[Y2 : $i]: (sK8 @ ((^[Y3 : $i > $i > $o]: ((^[Y4 : $i]: ((^[Y5 : $i]: (sF2 @ (X1 @ Y3 @ Y4 @ Y5))))))) @ Y1 @ Y2))))) @ X0) @ Y0) @ Y0)))) | ((^[Y0 : $i]: ((^[Y1 : $i]: (X0)))) != (^[Y0 : $i]: ((^[Y1 : $i]: ((^[Y2 : $i > $i > $o]: ((^[Y3 : $i]: (sK8 @ ((^[Y4 : $i > $i > $o]: ((^[Y5 : $i]: ((^[Y6 : $i]: (sF2 @ (X1 @ Y4 @ Y5 @ Y6))))))) @ Y2 @ Y3))))))))))) ) | ~spl6_1),
% 2.60/0.69 inference(equality_resolution,[],[f209])).
% 2.60/0.69 thf(f209,plain,(
% 2.60/0.69 ( ! [X0 : ($i > $i > $o) > $i > $i,X1 : ($i > $i > $o) > $i > $i] : (((^[Y0 : $i]: (sK8 @ (^[Y1 : $i]: (sF2 @ (sK9 @ (^[Y2 : $i > $i > $o]: ((sF2 @ (^[Y3 : $i]: (sF2 @ (Y2 @ Y3)))) => (Y2 @ (sK8 @ (^[Y3 : $i]: (sF2 @ (Y2 @ Y3)))) @ (sK8 @ (^[Y3 : $i]: (Y2 @ (X0 @ Y2 @ Y3) @ Y3)))))) @ Y1))))) != (X1 @ (sK9 @ (^[Y0 : $i > $i > $o]: ((sF2 @ (^[Y1 : $i]: (sF2 @ (Y0 @ Y1)))) => (Y0 @ (sK8 @ (^[Y1 : $i]: (sF2 @ (Y0 @ Y1)))) @ (sK8 @ (^[Y1 : $i]: (Y0 @ (X1 @ Y0 @ Y1) @ Y1))))))))) | ((sK8 @ (^[Y0 : $i]: (sK13 @ X1 @ X0 @ (X1 @ (sK13 @ X1 @ X0) @ Y0) @ Y0))) != (sK8 @ (^[Y0 : $i]: (sK13 @ X1 @ X0 @ (X0 @ (sK13 @ X1 @ X0) @ Y0) @ Y0)))) | ((^[Y0 : $i]: ((^[Y1 : $i]: (X0)))) != (^[Y0 : $i]: ((^[Y1 : $i]: (X1)))))) ) | ~spl6_1),
% 2.60/0.69 inference(beta_eta_normalization,[],[f208])).
% 2.60/0.69 thf(f208,plain,(
% 2.60/0.69 ( ! [X0 : ($i > $i > $o) > $i > $i,X1 : ($i > $i > $o) > $i > $i] : ((((^[Y0 : $i > $i > $o]: (sK8 @ (^[Y1 : $i]: (Y0 @ (X0 @ Y0 @ Y1) @ Y1)))) @ (sK13 @ X1 @ X0)) != ((^[Y0 : $i > $i > $o]: (sK8 @ (^[Y1 : $i]: (Y0 @ (X1 @ Y0 @ Y1) @ Y1)))) @ (sK13 @ X1 @ X0))) | ((^[Y0 : $i]: ((^[Y1 : $i]: (X0)))) != (^[Y0 : $i]: ((^[Y1 : $i]: (X1))))) | ((^[Y0 : $i]: (sK8 @ (^[Y1 : $i]: (sF2 @ (sK9 @ (^[Y2 : $i > $i > $o]: ((sF2 @ (^[Y3 : $i]: (sF2 @ (Y2 @ Y3)))) => (Y2 @ (sK8 @ (^[Y3 : $i]: (sF2 @ (Y2 @ Y3)))) @ (sK8 @ (^[Y3 : $i]: (Y2 @ (X0 @ Y2 @ Y3) @ Y3)))))) @ Y1))))) != (X1 @ (sK9 @ (^[Y0 : $i > $i > $o]: ((sF2 @ (^[Y1 : $i]: (sF2 @ (Y0 @ Y1)))) => (Y0 @ (sK8 @ (^[Y1 : $i]: (sF2 @ (Y0 @ Y1)))) @ (sK8 @ (^[Y1 : $i]: (Y0 @ (X1 @ Y0 @ Y1) @ Y1)))))))))) ) | ~spl6_1),
% 2.60/0.69 inference(negative_extensionality,[],[f207])).
% 2.60/0.69 thf(f207,plain,(
% 2.60/0.69 ( ! [X0 : ($i > $i > $o) > $i > $i,X1 : ($i > $i > $o) > $i > $i] : (((^[Y0 : $i > $i > $o]: (sK8 @ (^[Y1 : $i]: (Y0 @ (X0 @ Y0 @ Y1) @ Y1)))) != (^[Y0 : $i > $i > $o]: (sK8 @ (^[Y1 : $i]: (Y0 @ (X1 @ Y0 @ Y1) @ Y1))))) | ((^[Y0 : $i]: (sK8 @ (^[Y1 : $i]: (sF2 @ (sK9 @ (^[Y2 : $i > $i > $o]: ((sF2 @ (^[Y3 : $i]: (sF2 @ (Y2 @ Y3)))) => (Y2 @ (sK8 @ (^[Y3 : $i]: (sF2 @ (Y2 @ Y3)))) @ (sK8 @ (^[Y3 : $i]: (Y2 @ (X0 @ Y2 @ Y3) @ Y3)))))) @ Y1))))) != (X1 @ (sK9 @ (^[Y0 : $i > $i > $o]: ((sF2 @ (^[Y1 : $i]: (sF2 @ (Y0 @ Y1)))) => (Y0 @ (sK8 @ (^[Y1 : $i]: (sF2 @ (Y0 @ Y1)))) @ (sK8 @ (^[Y1 : $i]: (Y0 @ (X1 @ Y0 @ Y1) @ Y1))))))))) | ((^[Y0 : $i]: ((^[Y1 : $i]: (X0)))) != (^[Y0 : $i]: ((^[Y1 : $i]: (X1)))))) ) | ~spl6_1),
% 2.60/0.69 inference(duplicate_literal_removal,[],[f206])).
% 2.60/0.69 thf(f206,plain,(
% 2.60/0.69 ( ! [X0 : ($i > $i > $o) > $i > $i,X1 : ($i > $i > $o) > $i > $i] : (((^[Y0 : $i]: (sK8 @ (^[Y1 : $i]: (sF2 @ (sK9 @ (^[Y2 : $i > $i > $o]: ((sF2 @ (^[Y3 : $i]: (sF2 @ (Y2 @ Y3)))) => (Y2 @ (sK8 @ (^[Y3 : $i]: (sF2 @ (Y2 @ Y3)))) @ (sK8 @ (^[Y3 : $i]: (Y2 @ (X0 @ Y2 @ Y3) @ Y3)))))) @ Y1))))) != (X1 @ (sK9 @ (^[Y0 : $i > $i > $o]: ((sF2 @ (^[Y1 : $i]: (sF2 @ (Y0 @ Y1)))) => (Y0 @ (sK8 @ (^[Y1 : $i]: (sF2 @ (Y0 @ Y1)))) @ (sK8 @ (^[Y1 : $i]: (Y0 @ (X1 @ Y0 @ Y1) @ Y1))))))))) | ((^[Y0 : $i > $i > $o]: (sK8 @ (^[Y1 : $i]: (Y0 @ (X0 @ Y0 @ Y1) @ Y1)))) != (^[Y0 : $i > $i > $o]: (sK8 @ (^[Y1 : $i]: (Y0 @ (X1 @ Y0 @ Y1) @ Y1))))) | ((^[Y0 : $i]: ((^[Y1 : $i]: (X0)))) != (^[Y0 : $i]: ((^[Y1 : $i]: (X1))))) | ((^[Y0 : $i > $i > $o]: (sK8 @ (^[Y1 : $i]: (Y0 @ (X0 @ Y0 @ Y1) @ Y1)))) != (^[Y0 : $i > $i > $o]: (sK8 @ (^[Y1 : $i]: (Y0 @ (X1 @ Y0 @ Y1) @ Y1)))))) ) | ~spl6_1),
% 2.60/0.69 inference(beta_eta_normalization,[],[f205])).
% 2.60/0.69 thf(f205,plain,(
% 2.60/0.69 ( ! [X0 : ($i > $i > $o) > $i > $i,X1 : ($i > $i > $o) > $i > $i] : (((^[Y0 : $i]: (sK8 @ (^[Y1 : $i]: (sF2 @ (sK9 @ (^[Y2 : $i > $i > $o]: ((sF2 @ (^[Y3 : $i]: (sF2 @ (Y2 @ Y3)))) => (Y2 @ (sK8 @ (^[Y3 : $i]: (sF2 @ (Y2 @ Y3)))) @ (sK8 @ (^[Y3 : $i]: (Y2 @ (X0 @ Y2 @ Y3) @ Y3)))))) @ Y1))))) != (X1 @ (sK9 @ (^[Y0 : $i > $i > $o]: ((sF2 @ (^[Y1 : $i]: (sF2 @ (Y0 @ Y1)))) => (Y0 @ (sK8 @ (^[Y1 : $i]: (sF2 @ (Y0 @ Y1)))) @ (sK8 @ (^[Y1 : $i]: (Y0 @ (X1 @ Y0 @ Y1) @ Y1))))))))) | ((^[Y0 : $i > $i > $o]: (sK8 @ (^[Y1 : $i]: (Y0 @ (X0 @ Y0 @ Y1) @ Y1)))) != (^[Y0 : $i > $i > $o]: (sK8 @ (^[Y1 : $i]: (Y0 @ (X1 @ Y0 @ Y1) @ Y1))))) | (((^[Y0 : $i]: ((^[Y1 : $i > $i > $o]: (sK8 @ (^[Y2 : $i]: (Y1 @ (X1 @ Y1 @ Y2) @ Y2)))))) @ (sK12 @ X1 @ X0)) != ((^[Y0 : $i]: ((^[Y1 : $i > $i > $o]: (sK8 @ (^[Y2 : $i]: (Y1 @ (X0 @ Y1 @ Y2) @ Y2)))))) @ (sK12 @ X1 @ X0))) | ((^[Y0 : $i]: ((^[Y1 : $i]: (X0)))) != (^[Y0 : $i]: ((^[Y1 : $i]: (X1)))))) ) | ~spl6_1),
% 2.60/0.69 inference(negative_extensionality,[],[f204])).
% 2.60/0.69 thf(f204,plain,(
% 2.60/0.69 ( ! [X0 : ($i > $i > $o) > $i > $i,X1 : ($i > $i > $o) > $i > $i] : (((^[Y0 : $i]: ((^[Y1 : $i > $i > $o]: (sK8 @ (^[Y2 : $i]: (Y1 @ (X1 @ Y1 @ Y2) @ Y2)))))) != (^[Y0 : $i]: ((^[Y1 : $i > $i > $o]: (sK8 @ (^[Y2 : $i]: (Y1 @ (X0 @ Y1 @ Y2) @ Y2))))))) | ((^[Y0 : $i > $i > $o]: (sK8 @ (^[Y1 : $i]: (Y0 @ (X0 @ Y0 @ Y1) @ Y1)))) != (^[Y0 : $i > $i > $o]: (sK8 @ (^[Y1 : $i]: (Y0 @ (X1 @ Y0 @ Y1) @ Y1))))) | ((^[Y0 : $i]: (sK8 @ (^[Y1 : $i]: (sF2 @ (sK9 @ (^[Y2 : $i > $i > $o]: ((sF2 @ (^[Y3 : $i]: (sF2 @ (Y2 @ Y3)))) => (Y2 @ (sK8 @ (^[Y3 : $i]: (sF2 @ (Y2 @ Y3)))) @ (sK8 @ (^[Y3 : $i]: (Y2 @ (X0 @ Y2 @ Y3) @ Y3)))))) @ Y1))))) != (X1 @ (sK9 @ (^[Y0 : $i > $i > $o]: ((sF2 @ (^[Y1 : $i]: (sF2 @ (Y0 @ Y1)))) => (Y0 @ (sK8 @ (^[Y1 : $i]: (sF2 @ (Y0 @ Y1)))) @ (sK8 @ (^[Y1 : $i]: (Y0 @ (X1 @ Y0 @ Y1) @ Y1))))))))) | ((^[Y0 : $i]: ((^[Y1 : $i]: (X0)))) != (^[Y0 : $i]: ((^[Y1 : $i]: (X1)))))) ) | ~spl6_1),
% 2.60/0.69 inference(beta_eta_normalization,[],[f203])).
% 2.60/0.69 thf(f203,plain,(
% 2.60/0.69 ( ! [X0 : ($i > $i > $o) > $i > $i,X1 : ($i > $i > $o) > $i > $i] : (((^[Y0 : $i]: ((^[Y1 : $i > $i > $o]: (sK8 @ (^[Y2 : $i]: (Y1 @ (X1 @ Y1 @ Y2) @ Y2)))))) != (^[Y0 : $i]: ((^[Y1 : $i > $i > $o]: (sK8 @ (^[Y2 : $i]: (Y1 @ (X0 @ Y1 @ Y2) @ ((^[Y3 : $i > $i > $o]: ((^[Y4 : $i]: (Y4)))) @ Y1 @ Y2)))))))) | ((^[Y0 : $i]: (sK8 @ (^[Y1 : $i]: (sF2 @ (sK9 @ (^[Y2 : $i > $i > $o]: ((sF2 @ (^[Y3 : $i]: (sF2 @ (Y2 @ Y3)))) => (Y2 @ (sK8 @ (^[Y3 : $i]: (sF2 @ (Y2 @ Y3)))) @ (sK8 @ (^[Y3 : $i]: (Y2 @ (X0 @ Y2 @ Y3) @ ((^[Y4 : $i > $i > $o]: ((^[Y5 : $i]: (Y5)))) @ Y2 @ Y3))))))) @ Y1))))) != (X1 @ (sK9 @ (^[Y0 : $i > $i > $o]: ((sF2 @ (^[Y1 : $i]: (sF2 @ (Y0 @ Y1)))) => (Y0 @ (sK8 @ (^[Y1 : $i]: (sF2 @ (Y0 @ Y1)))) @ (sK8 @ (^[Y1 : $i]: (Y0 @ (X1 @ Y0 @ Y1) @ Y1))))))))) | ((^[Y0 : $i > $i > $o]: (sK8 @ (^[Y1 : $i]: (Y0 @ (X0 @ Y0 @ Y1) @ ((^[Y2 : $i > $i > $o]: ((^[Y3 : $i]: (Y3)))) @ Y0 @ Y1))))) != (^[Y0 : $i > $i > $o]: (sK8 @ (^[Y1 : $i]: (Y0 @ (X1 @ Y0 @ Y1) @ Y1))))) | ((^[Y0 : $i]: ((^[Y1 : $i]: (X0)))) != (^[Y0 : $i]: ((^[Y1 : $i]: (X1)))))) ) | ~spl6_1),
% 2.60/0.69 inference(equality_resolution,[],[f202])).
% 2.60/0.69 thf(f202,plain,(
% 2.60/0.69 ( ! [X2 : ($i > $i > $o) > $i > $i,X0 : ($i > $i > $o) > $i > $i,X1 : ($i > $i > $o) > $i > $i] : (((^[Y0 : $i]: ((^[Y1 : $i]: (X2)))) != (^[Y0 : $i]: ((^[Y1 : $i]: ((^[Y2 : $i > $i > $o]: ((^[Y3 : $i]: (Y3))))))))) | ((^[Y0 : $i]: ((^[Y1 : $i > $i > $o]: (sK8 @ (^[Y2 : $i]: (Y1 @ (X1 @ Y1 @ Y2) @ (X2 @ Y1 @ Y2))))))) != (^[Y0 : $i]: ((^[Y1 : $i > $i > $o]: (sK8 @ (^[Y2 : $i]: (Y1 @ (X0 @ Y1 @ Y2) @ Y2))))))) | ((^[Y0 : $i > $i > $o]: (sK8 @ (^[Y1 : $i]: (Y0 @ (X0 @ Y0 @ Y1) @ Y1)))) != (^[Y0 : $i > $i > $o]: (sK8 @ (^[Y1 : $i]: (Y0 @ (X1 @ Y0 @ Y1) @ (X2 @ Y0 @ Y1)))))) | ((^[Y0 : $i]: (sK8 @ (^[Y1 : $i]: (sF2 @ (sK9 @ (^[Y2 : $i > $i > $o]: ((sF2 @ (^[Y3 : $i]: (sF2 @ (Y2 @ Y3)))) => (Y2 @ (sK8 @ (^[Y3 : $i]: (sF2 @ (Y2 @ Y3)))) @ (sK8 @ (^[Y3 : $i]: (Y2 @ (X1 @ Y2 @ Y3) @ (X2 @ Y2 @ Y3))))))) @ Y1))))) != (X0 @ (sK9 @ (^[Y0 : $i > $i > $o]: ((sF2 @ (^[Y1 : $i]: (sF2 @ (Y0 @ Y1)))) => (Y0 @ (sK8 @ (^[Y1 : $i]: (sF2 @ (Y0 @ Y1)))) @ (sK8 @ (^[Y1 : $i]: (Y0 @ (X0 @ Y0 @ Y1) @ Y1))))))))) | ((^[Y0 : $i]: ((^[Y1 : $i]: (X0)))) != (^[Y0 : $i]: ((^[Y1 : $i]: (X1)))))) ) | ~spl6_1),
% 2.60/0.69 inference(beta_eta_normalization,[],[f201])).
% 2.60/0.69 thf(f201,plain,(
% 2.60/0.69 ( ! [X2 : ($i > $i > $o) > $i > $i,X0 : ($i > $i > $o) > $i > $i,X1 : ($i > $i > $o) > $i > $i] : (((^[Y0 : $i]: ((^[Y1 : $i > $i > $o]: (sK8 @ ((^[Y2 : $i > $i > $o]: ((^[Y3 : $i]: (Y2 @ (X1 @ Y2 @ Y3) @ (X2 @ Y2 @ Y3))))) @ Y1))))) != (^[Y0 : $i]: ((^[Y1 : $i > $i > $o]: (sK8 @ (^[Y2 : $i]: (Y1 @ (X0 @ Y1 @ Y2) @ Y2))))))) | ((^[Y0 : $i]: (sK8 @ (^[Y1 : $i]: (sF2 @ (sK9 @ (^[Y2 : $i > $i > $o]: ((sF2 @ (^[Y3 : $i]: (sF2 @ (Y2 @ Y3)))) => (Y2 @ (sK8 @ (^[Y3 : $i]: (sF2 @ (Y2 @ Y3)))) @ ((^[Y3 : $i > $i > $o]: (sK8 @ ((^[Y4 : $i > $i > $o]: ((^[Y5 : $i]: (Y4 @ (X1 @ Y4 @ Y5) @ (X2 @ Y4 @ Y5))))) @ Y3))) @ Y2)))) @ Y1))))) != (X0 @ (sK9 @ (^[Y0 : $i > $i > $o]: ((sF2 @ (^[Y1 : $i]: (sF2 @ (Y0 @ Y1)))) => (Y0 @ (sK8 @ (^[Y1 : $i]: (sF2 @ (Y0 @ Y1)))) @ (sK8 @ (^[Y1 : $i]: (Y0 @ (X0 @ Y0 @ Y1) @ Y1))))))))) | ((^[Y0 : $i]: ((^[Y1 : $i]: ((^[Y2 : $i > $i > $o]: ((^[Y3 : $i]: (X2 @ Y2 @ Y3)))))))) != (^[Y0 : $i]: ((^[Y1 : $i]: ((^[Y2 : $i > $i > $o]: ((^[Y3 : $i]: (Y3))))))))) | ((^[Y0 : $i]: ((^[Y1 : $i]: ((^[Y2 : $i > $i > $o]: ((^[Y3 : $i]: (X0 @ Y2 @ Y3)))))))) != (^[Y0 : $i]: ((^[Y1 : $i]: ((^[Y2 : $i > $i > $o]: ((^[Y3 : $i]: (X1 @ Y2 @ Y3))))))))) | ((^[Y0 : $i > $i > $o]: (sK8 @ (^[Y1 : $i]: (Y0 @ (X0 @ Y0 @ Y1) @ Y1)))) != (^[Y0 : $i > $i > $o]: (sK8 @ ((^[Y1 : $i > $i > $o]: ((^[Y2 : $i]: (Y1 @ (X1 @ Y1 @ Y2) @ (X2 @ Y1 @ Y2))))) @ Y0))))) ) | ~spl6_1),
% 2.60/0.69 inference(equality_resolution,[],[f200])).
% 2.60/0.69 thf(f200,plain,(
% 2.60/0.69 ( ! [X0 : ($i > $i > $o) > $i,X1 : ($i > $i > $o) > $i > $i] : (((^[Y0 : $i]: ((^[Y1 : $i]: ((^[Y2 : $i > $i > $o]: (sK8 @ (^[Y3 : $i]: (Y2 @ (X1 @ Y2 @ Y3) @ Y3)))))))) != (^[Y0 : $i]: ((^[Y1 : $i]: (X0))))) | ((^[Y0 : $i > $i > $o]: (sK8 @ (^[Y1 : $i]: (Y0 @ (X1 @ Y0 @ Y1) @ Y1)))) != X0) | ((^[Y0 : $i]: ((^[Y1 : $i > $i > $o]: (sK8 @ (^[Y2 : $i]: (Y1 @ (X1 @ Y1 @ Y2) @ Y2)))))) != (^[Y0 : $i]: (X0))) | ((^[Y0 : $i]: (sK8 @ (^[Y1 : $i]: (sF2 @ (sK9 @ (^[Y2 : $i > $i > $o]: ((sF2 @ (^[Y3 : $i]: (sF2 @ (Y2 @ Y3)))) => (Y2 @ (sK8 @ (^[Y3 : $i]: (sF2 @ (Y2 @ Y3)))) @ (X0 @ Y2)))) @ Y1))))) != (X1 @ (sK9 @ (^[Y0 : $i > $i > $o]: ((sF2 @ (^[Y1 : $i]: (sF2 @ (Y0 @ Y1)))) => (Y0 @ (sK8 @ (^[Y1 : $i]: (sF2 @ (Y0 @ Y1)))) @ (sK8 @ (^[Y1 : $i]: (Y0 @ (X1 @ Y0 @ Y1) @ Y1)))))))))) ) | ~spl6_1),
% 2.60/0.69 inference(beta_eta_normalization,[],[f199])).
% 2.60/0.69 thf(f199,plain,(
% 2.60/0.69 ( ! [X0 : ($i > $i > $o) > $i,X1 : ($i > $i > $o) > $i > $i] : (((^[Y0 : $i]: (sK8 @ (^[Y1 : $i]: (sF2 @ (sK9 @ (^[Y2 : $i > $i > $o]: ((sF2 @ (^[Y3 : $i]: (sF2 @ (Y2 @ Y3)))) => (Y2 @ (sK8 @ (^[Y3 : $i]: (sF2 @ (Y2 @ Y3)))) @ (X0 @ Y2)))) @ Y1))))) != (X1 @ (sK9 @ (^[Y0 : $i > $i > $o]: ((sF2 @ (^[Y1 : $i]: (sF2 @ (Y0 @ Y1)))) => (Y0 @ (sK8 @ (^[Y1 : $i]: (sF2 @ (Y0 @ Y1)))) @ (sK8 @ (^[Y1 : $i]: (Y0 @ (X1 @ Y0 @ Y1) @ ((^[Y2 : $i > $i > $o]: ((^[Y3 : $i]: (Y3)))) @ Y0 @ Y1)))))))))) | ((^[Y0 : $i]: ((^[Y1 : $i > $i > $o]: (sK8 @ (^[Y2 : $i]: (Y1 @ (X1 @ Y1 @ Y2) @ ((^[Y3 : $i > $i > $o]: ((^[Y4 : $i]: (Y4)))) @ Y1 @ Y2))))))) != (^[Y0 : $i]: (X0))) | ((^[Y0 : $i]: ((^[Y1 : $i]: ((^[Y2 : $i > $i > $o]: (sK8 @ (^[Y3 : $i]: (Y2 @ (X1 @ Y2 @ Y3) @ ((^[Y4 : $i > $i > $o]: ((^[Y5 : $i]: (Y5)))) @ Y2 @ Y3))))))))) != (^[Y0 : $i]: ((^[Y1 : $i]: (X0))))) | ((^[Y0 : $i > $i > $o]: (sK8 @ (^[Y1 : $i]: (Y0 @ (X1 @ Y0 @ Y1) @ ((^[Y2 : $i > $i > $o]: ((^[Y3 : $i]: (Y3)))) @ Y0 @ Y1))))) != X0)) ) | ~spl6_1),
% 2.60/0.69 inference(equality_resolution,[],[f198])).
% 2.60/0.69 thf(f198,plain,(
% 2.60/0.69 ( ! [X2 : ($i > $i > $o) > $i,X0 : ($i > $i > $o) > $i > $i,X1 : ($i > $i > $o) > $i > $i] : (((X1 @ (sK9 @ (^[Y0 : $i > $i > $o]: ((sF2 @ (^[Y1 : $i]: (sF2 @ (Y0 @ Y1)))) => (Y0 @ (sK8 @ (^[Y1 : $i]: (sF2 @ (Y0 @ Y1)))) @ (sK8 @ (^[Y1 : $i]: (Y0 @ (X0 @ Y0 @ Y1) @ (X1 @ Y0 @ Y1))))))))) != (^[Y0 : $i]: (Y0))) | ((^[Y0 : $i]: (X2)) != (^[Y0 : $i]: ((^[Y1 : $i > $i > $o]: (sK8 @ (^[Y2 : $i]: (Y1 @ (X0 @ Y1 @ Y2) @ (X1 @ Y1 @ Y2)))))))) | ((^[Y0 : $i > $i > $o]: (sK8 @ (^[Y1 : $i]: (Y0 @ (X0 @ Y0 @ Y1) @ (X1 @ Y0 @ Y1))))) != X2) | ((X0 @ (sK9 @ (^[Y0 : $i > $i > $o]: ((sF2 @ (^[Y1 : $i]: (sF2 @ (Y0 @ Y1)))) => (Y0 @ (sK8 @ (^[Y1 : $i]: (sF2 @ (Y0 @ Y1)))) @ (sK8 @ (^[Y1 : $i]: (Y0 @ (X0 @ Y0 @ Y1) @ (X1 @ Y0 @ Y1))))))))) != (^[Y0 : $i]: (sK8 @ (^[Y1 : $i]: (sF2 @ (sK9 @ (^[Y2 : $i > $i > $o]: ((sF2 @ (^[Y3 : $i]: (sF2 @ (Y2 @ Y3)))) => (Y2 @ (sK8 @ (^[Y3 : $i]: (sF2 @ (Y2 @ Y3)))) @ (X2 @ Y2)))) @ Y1)))))) | ((^[Y0 : $i]: ((^[Y1 : $i]: ((^[Y2 : $i > $i > $o]: (sK8 @ (^[Y3 : $i]: (Y2 @ (X0 @ Y2 @ Y3) @ (X1 @ Y2 @ Y3))))))))) != (^[Y0 : $i]: ((^[Y1 : $i]: (X2)))))) ) | ~spl6_1),
% 2.60/0.69 inference(beta_eta_normalization,[],[f197])).
% 2.60/0.69 thf(f197,plain,(
% 2.60/0.69 ( ! [X2 : ($i > $i > $o) > $i,X0 : ($i > $i > $o) > $i > $i,X1 : ($i > $i > $o) > $i > $i] : (((^[Y0 : $i]: (X0 @ (sK9 @ (^[Y1 : $i > $i > $o]: ((sF2 @ (^[Y2 : $i]: (sF2 @ (Y1 @ Y2)))) => (Y1 @ (sK8 @ (^[Y2 : $i]: (sF2 @ (Y1 @ Y2)))) @ ((^[Y2 : $i > $i > $o]: (sK8 @ ((^[Y3 : $i > $i > $o]: ((^[Y4 : $i]: (Y3 @ (X0 @ Y3 @ Y4) @ (X1 @ Y3 @ Y4))))) @ Y2))) @ Y1))))) @ Y0)) != (^[Y0 : $i]: (sK8 @ (^[Y1 : $i]: (sF2 @ (sK9 @ (^[Y2 : $i > $i > $o]: ((sF2 @ (^[Y3 : $i]: (sF2 @ (Y2 @ Y3)))) => (Y2 @ (sK8 @ (^[Y3 : $i]: (sF2 @ (Y2 @ Y3)))) @ (X2 @ Y2)))) @ Y1)))))) | ((^[Y0 : $i]: ((^[Y1 : $i > $i > $o]: (X2 @ Y1)))) != (^[Y0 : $i]: ((^[Y1 : $i > $i > $o]: (sK8 @ ((^[Y2 : $i > $i > $o]: ((^[Y3 : $i]: (Y2 @ (X0 @ Y2 @ Y3) @ (X1 @ Y2 @ Y3))))) @ Y1)))))) | ((^[Y0 : $i > $i > $o]: (sK8 @ ((^[Y1 : $i > $i > $o]: ((^[Y2 : $i]: (Y1 @ (X0 @ Y1 @ Y2) @ (X1 @ Y1 @ Y2))))) @ Y0))) != X2) | ((^[Y0 : $i]: (X1 @ (sK9 @ (^[Y1 : $i > $i > $o]: ((sF2 @ (^[Y2 : $i]: (sF2 @ (Y1 @ Y2)))) => (Y1 @ (sK8 @ (^[Y2 : $i]: (sF2 @ (Y1 @ Y2)))) @ ((^[Y2 : $i > $i > $o]: (sK8 @ ((^[Y3 : $i > $i > $o]: ((^[Y4 : $i]: (Y3 @ (X0 @ Y3 @ Y4) @ (X1 @ Y3 @ Y4))))) @ Y2))) @ Y1))))) @ Y0)) != (^[Y0 : $i]: (Y0))) | ((^[Y0 : $i]: ((^[Y1 : $i]: (X2)))) != (^[Y0 : $i]: ((^[Y1 : $i]: ((^[Y2 : $i > $i > $o]: (sK8 @ ((^[Y3 : $i > $i > $o]: ((^[Y4 : $i]: (Y3 @ (X0 @ Y3 @ Y4) @ (X1 @ Y3 @ Y4))))) @ Y2))))))))) ) | ~spl6_1),
% 2.60/0.69 inference(equality_resolution,[],[f196])).
% 2.60/0.69 thf(f196,plain,(
% 2.60/0.69 ( ! [X0 : ($i > $i > $o) > $i,X1 : ($i > $i > $o) > $i] : (((X1 @ (sK9 @ (^[Y0 : $i > $i > $o]: ((sF2 @ (^[Y1 : $i]: (sF2 @ (Y0 @ Y1)))) => (Y0 @ (sK8 @ (^[Y1 : $i]: (sF2 @ (Y0 @ Y1)))) @ (X1 @ Y0)))))) != (sK8 @ (sK9 @ (^[Y0 : $i > $i > $o]: ((sF2 @ (^[Y1 : $i]: (sF2 @ (Y0 @ Y1)))) => (Y0 @ (sK8 @ (^[Y1 : $i]: (sF2 @ (Y0 @ Y1)))) @ (X0 @ Y0)))) @ (sK8 @ (^[Y0 : $i]: (sF2 @ (sK9 @ (^[Y1 : $i > $i > $o]: ((sF2 @ (^[Y2 : $i]: (sF2 @ (Y1 @ Y2)))) => (Y1 @ (sK8 @ (^[Y2 : $i]: (sF2 @ (Y1 @ Y2)))) @ (X0 @ Y1)))) @ Y0))))))) | ((^[Y0 : $i]: ((^[Y1 : $i]: (X1)))) != (^[Y0 : $i]: ((^[Y1 : $i]: (X0))))) | (X0 != X1)) ) | ~spl6_1),
% 2.60/0.69 inference(trivial_inequality_removal,[],[f195])).
% 2.60/0.69 thf(f195,plain,(
% 2.60/0.69 ( ! [X0 : ($i > $i > $o) > $i,X1 : ($i > $i > $o) > $i] : (((X1 @ (sK9 @ (^[Y0 : $i > $i > $o]: ((sF2 @ (^[Y1 : $i]: (sF2 @ (Y0 @ Y1)))) => (Y0 @ (sK8 @ (^[Y1 : $i]: (sF2 @ (Y0 @ Y1)))) @ (X1 @ Y0)))))) != (sK8 @ (sK9 @ (^[Y0 : $i > $i > $o]: ((sF2 @ (^[Y1 : $i]: (sF2 @ (Y0 @ Y1)))) => (Y0 @ (sK8 @ (^[Y1 : $i]: (sF2 @ (Y0 @ Y1)))) @ (X0 @ Y0)))) @ (sK8 @ (^[Y0 : $i]: (sF2 @ (sK9 @ (^[Y1 : $i > $i > $o]: ((sF2 @ (^[Y2 : $i]: (sF2 @ (Y1 @ Y2)))) => (Y1 @ (sK8 @ (^[Y2 : $i]: (sF2 @ (Y1 @ Y2)))) @ (X0 @ Y1)))) @ Y0))))))) | ((sK8 @ (^[Y0 : $i]: (sF2 @ (sK11 @ (^[Y1 : $i > $i > $o]: ((^[Y2 : $i]: ((^[Y3 : $i]: (Y3)))))) @ (^[Y1 : $i > $i > $o]: ((^[Y2 : $i]: ((^[Y3 : $i]: (Y3)))))) @ Y0)))) != (sK8 @ (^[Y0 : $i]: (sF2 @ (sK11 @ (^[Y1 : $i > $i > $o]: ((^[Y2 : $i]: ((^[Y3 : $i]: (Y3)))))) @ (^[Y1 : $i > $i > $o]: ((^[Y2 : $i]: ((^[Y3 : $i]: (Y3)))))) @ Y0))))) | ((^[Y0 : $i]: ((^[Y1 : $i]: (X1)))) != (^[Y0 : $i]: ((^[Y1 : $i]: (X0))))) | (X0 != X1)) ) | ~spl6_1),
% 2.60/0.69 inference(beta_eta_normalization,[],[f194])).
% 2.60/0.69 thf(f194,plain,(
% 2.60/0.69 ( ! [X0 : ($i > $i > $o) > $i,X1 : ($i > $i > $o) > $i] : (((X1 @ (sK9 @ (^[Y0 : $i > $i > $o]: ((sF2 @ (^[Y1 : $i]: (sF2 @ (Y0 @ Y1)))) => (Y0 @ (sK8 @ (^[Y1 : $i]: (sF2 @ (Y0 @ Y1)))) @ (X1 @ Y0)))))) != (sK8 @ (sK9 @ (^[Y0 : $i > $i > $o]: ((sF2 @ (^[Y1 : $i]: (sF2 @ (Y0 @ Y1)))) => (Y0 @ (sK8 @ (^[Y1 : $i]: (sF2 @ (^[Y2 : $i]: (Y0 @ Y1 @ ((^[Y3 : $i > $i > $o]: ((^[Y4 : $i]: ((^[Y5 : $i]: (Y5)))))) @ Y0 @ Y1 @ Y2)))))) @ (X0 @ Y0)))) @ (sK8 @ (^[Y0 : $i]: (sF2 @ (sK9 @ (^[Y1 : $i > $i > $o]: ((sF2 @ (^[Y2 : $i]: (sF2 @ (Y1 @ Y2)))) => (Y1 @ (sK8 @ (^[Y2 : $i]: (sF2 @ (^[Y3 : $i]: (Y1 @ Y2 @ ((^[Y4 : $i > $i > $o]: ((^[Y5 : $i]: ((^[Y6 : $i]: (Y6)))))) @ Y1 @ Y2 @ Y3)))))) @ (X0 @ Y1)))) @ Y0))))))) | (X0 != X1) | ((sK8 @ (^[Y0 : $i]: (sF2 @ (sK11 @ (^[Y1 : $i > $i > $o]: ((^[Y2 : $i]: ((^[Y3 : $i]: (Y3)))))) @ (^[Y1 : $i > $i > $o]: ((^[Y2 : $i]: ((^[Y3 : $i]: (Y3)))))) @ Y0)))) != (sK8 @ (^[Y0 : $i]: (sF2 @ (^[Y1 : $i]: (sK11 @ (^[Y2 : $i > $i > $o]: ((^[Y3 : $i]: ((^[Y4 : $i]: (Y4)))))) @ (^[Y2 : $i > $i > $o]: ((^[Y3 : $i]: ((^[Y4 : $i]: (Y4)))))) @ Y0 @ ((^[Y2 : $i > $i > $o]: ((^[Y3 : $i]: ((^[Y4 : $i]: (Y4)))))) @ (sK11 @ (^[Y2 : $i > $i > $o]: ((^[Y3 : $i]: ((^[Y4 : $i]: (Y4)))))) @ (^[Y2 : $i > $i > $o]: ((^[Y3 : $i]: ((^[Y4 : $i]: (Y4))))))) @ Y0 @ Y1))))))) | ((^[Y0 : $i]: ((^[Y1 : $i]: (X1)))) != (^[Y0 : $i]: ((^[Y1 : $i]: (X0)))))) ) | ~spl6_1),
% 2.60/0.69 inference(equality_resolution,[],[f193])).
% 2.60/0.69 thf(f193,plain,(
% 2.60/0.69 ( ! [X2 : ($i > $i > $o) > $i,X0 : ($i > $i > $o) > $i,X1 : ($i > $i > $o) > $i > $i > $i] : (((^[Y0 : $i]: ((^[Y1 : $i]: (X1)))) != (^[Y0 : $i]: ((^[Y1 : $i]: ((^[Y2 : $i > $i > $o]: ((^[Y3 : $i]: ((^[Y4 : $i]: (Y4))))))))))) | ((sK8 @ (sK9 @ (^[Y0 : $i > $i > $o]: ((sF2 @ (^[Y1 : $i]: (sF2 @ (Y0 @ Y1)))) => (Y0 @ (sK8 @ (^[Y1 : $i]: (sF2 @ (^[Y2 : $i]: (Y0 @ Y1 @ (X1 @ Y0 @ Y1 @ Y2)))))) @ (X2 @ Y0)))) @ (sK8 @ (^[Y0 : $i]: (sF2 @ (sK9 @ (^[Y1 : $i > $i > $o]: ((sF2 @ (^[Y2 : $i]: (sF2 @ (Y1 @ Y2)))) => (Y1 @ (sK8 @ (^[Y2 : $i]: (sF2 @ (^[Y3 : $i]: (Y1 @ Y2 @ (X1 @ Y1 @ Y2 @ Y3)))))) @ (X2 @ Y1)))) @ Y0)))))) != (X0 @ (sK9 @ (^[Y0 : $i > $i > $o]: ((sF2 @ (^[Y1 : $i]: (sF2 @ (Y0 @ Y1)))) => (Y0 @ (sK8 @ (^[Y1 : $i]: (sF2 @ (Y0 @ Y1)))) @ (X0 @ Y0))))))) | ((sK8 @ (^[Y0 : $i]: (sF2 @ (^[Y1 : $i]: (sK11 @ X1 @ (^[Y2 : $i > $i > $o]: ((^[Y3 : $i]: ((^[Y4 : $i]: (Y4)))))) @ Y0 @ (X1 @ (sK11 @ X1 @ (^[Y2 : $i > $i > $o]: ((^[Y3 : $i]: ((^[Y4 : $i]: (Y4))))))) @ Y0 @ Y1)))))) != (sK8 @ (^[Y0 : $i]: (sF2 @ (sK11 @ X1 @ (^[Y1 : $i > $i > $o]: ((^[Y2 : $i]: ((^[Y3 : $i]: (Y3)))))) @ Y0))))) | (X0 != X2) | ((^[Y0 : $i]: ((^[Y1 : $i]: (X2)))) != (^[Y0 : $i]: ((^[Y1 : $i]: (X0)))))) ) | ~spl6_1),
% 2.60/0.69 inference(beta_eta_normalization,[],[f192])).
% 2.60/0.69 thf(f192,plain,(
% 2.60/0.69 ( ! [X2 : ($i > $i > $o) > $i,X0 : ($i > $i > $o) > $i,X1 : ($i > $i > $o) > $i > $i > $i] : ((X0 != X2) | ((sK8 @ (sK9 @ (^[Y0 : $i > $i > $o]: ((sF2 @ (^[Y1 : $i]: (sF2 @ (Y0 @ Y1)))) => (Y0 @ (sK8 @ (^[Y1 : $i]: (sF2 @ (^[Y2 : $i]: (Y0 @ Y1 @ (X1 @ Y0 @ Y1 @ Y2)))))) @ (X2 @ Y0)))) @ (sK8 @ (^[Y0 : $i]: (sF2 @ (sK9 @ (^[Y1 : $i > $i > $o]: ((sF2 @ (^[Y2 : $i]: (sF2 @ (Y1 @ Y2)))) => (Y1 @ (sK8 @ (^[Y2 : $i]: (sF2 @ (^[Y3 : $i]: (Y1 @ Y2 @ (X1 @ Y1 @ Y2 @ Y3)))))) @ (X2 @ Y1)))) @ Y0)))))) != (X0 @ (sK9 @ (^[Y0 : $i > $i > $o]: ((sF2 @ (^[Y1 : $i]: (sF2 @ (Y0 @ Y1)))) => (Y0 @ (sK8 @ (^[Y1 : $i]: (sF2 @ (^[Y2 : $i]: (Y0 @ Y1 @ ((^[Y3 : $i > $i > $o]: ((^[Y4 : $i]: ((^[Y5 : $i]: (Y5)))))) @ Y0 @ Y1 @ Y2)))))) @ (X0 @ Y0))))))) | ((^[Y0 : $i]: ((^[Y1 : $i]: (X2)))) != (^[Y0 : $i]: ((^[Y1 : $i]: (X0))))) | ((^[Y0 : $i]: ((^[Y1 : $i]: (X1)))) != (^[Y0 : $i]: ((^[Y1 : $i]: ((^[Y2 : $i > $i > $o]: ((^[Y3 : $i]: ((^[Y4 : $i]: (Y4))))))))))) | ((sK8 @ (^[Y0 : $i]: (sF2 @ (^[Y1 : $i]: (sK11 @ X1 @ (^[Y2 : $i > $i > $o]: ((^[Y3 : $i]: ((^[Y4 : $i]: (Y4)))))) @ Y0 @ ((^[Y2 : $i > $i > $o]: ((^[Y3 : $i]: ((^[Y4 : $i]: (Y4)))))) @ (sK11 @ X1 @ (^[Y2 : $i > $i > $o]: ((^[Y3 : $i]: ((^[Y4 : $i]: (Y4))))))) @ Y0 @ Y1)))))) != (sK8 @ (^[Y0 : $i]: (sF2 @ (^[Y1 : $i]: (sK11 @ X1 @ (^[Y2 : $i > $i > $o]: ((^[Y3 : $i]: ((^[Y4 : $i]: (Y4)))))) @ Y0 @ (X1 @ (sK11 @ X1 @ (^[Y2 : $i > $i > $o]: ((^[Y3 : $i]: ((^[Y4 : $i]: (Y4))))))) @ Y0 @ Y1)))))))) ) | ~spl6_1),
% 2.60/0.69 inference(equality_resolution,[],[f190])).
% 2.60/0.69 thf(f190,plain,(
% 2.60/0.69 ( ! [X2 : ($i > $i > $o) > $i,X3 : ($i > $i > $o) > $i,X0 : ($i > $i > $o) > $i > $i > $i,X1 : ($i > $i > $o) > $i > $i > $i] : (((X0 @ (sK9 @ (^[Y0 : $i > $i > $o]: ((sF2 @ (^[Y1 : $i]: (sF2 @ (Y0 @ Y1)))) => (Y0 @ (sK8 @ (^[Y1 : $i]: (sF2 @ (^[Y2 : $i]: (Y0 @ Y1 @ (X0 @ Y0 @ Y1 @ Y2)))))) @ (X2 @ Y0)))))) != (^[Y0 : $i]: ((^[Y1 : $i]: (Y1))))) | ((X2 @ (sK9 @ (^[Y0 : $i > $i > $o]: ((sF2 @ (^[Y1 : $i]: (sF2 @ (Y0 @ Y1)))) => (Y0 @ (sK8 @ (^[Y1 : $i]: (sF2 @ (^[Y2 : $i]: (Y0 @ Y1 @ (X0 @ Y0 @ Y1 @ Y2)))))) @ (X2 @ Y0)))))) != (sK8 @ (sK9 @ (^[Y0 : $i > $i > $o]: ((sF2 @ (^[Y1 : $i]: (sF2 @ (Y0 @ Y1)))) => (Y0 @ (sK8 @ (^[Y1 : $i]: (sF2 @ (^[Y2 : $i]: (Y0 @ Y1 @ (X1 @ Y0 @ Y1 @ Y2)))))) @ (X3 @ Y0)))) @ (sK8 @ (^[Y0 : $i]: (sF2 @ (sK9 @ (^[Y1 : $i > $i > $o]: ((sF2 @ (^[Y2 : $i]: (sF2 @ (Y1 @ Y2)))) => (Y1 @ (sK8 @ (^[Y2 : $i]: (sF2 @ (^[Y3 : $i]: (Y1 @ Y2 @ (X1 @ Y1 @ Y2 @ Y3)))))) @ (X3 @ Y1)))) @ Y0))))))) | ((sK8 @ (^[Y0 : $i]: (sF2 @ (^[Y1 : $i]: (sK11 @ X1 @ X0 @ Y0 @ (X0 @ (sK11 @ X1 @ X0) @ Y0 @ Y1)))))) != (sK8 @ (^[Y0 : $i]: (sF2 @ (^[Y1 : $i]: (sK11 @ X1 @ X0 @ Y0 @ (X1 @ (sK11 @ X1 @ X0) @ Y0 @ Y1))))))) | (X2 != X3) | ((^[Y0 : $i]: ((^[Y1 : $i]: (X1)))) != (^[Y0 : $i]: ((^[Y1 : $i]: (X0))))) | ((^[Y0 : $i]: ((^[Y1 : $i]: (X2)))) != (^[Y0 : $i]: ((^[Y1 : $i]: (X3)))))) ) | ~spl6_1),
% 2.60/0.69 inference(beta_eta_normalization,[],[f189])).
% 2.60/0.69 thf(f189,plain,(
% 2.60/0.69 ( ! [X2 : ($i > $i > $o) > $i,X3 : ($i > $i > $o) > $i,X0 : ($i > $i > $o) > $i > $i > $i,X1 : ($i > $i > $o) > $i > $i > $i] : (((X2 @ (sK9 @ (^[Y0 : $i > $i > $o]: ((sF2 @ (^[Y1 : $i]: (sF2 @ (Y0 @ Y1)))) => (Y0 @ (sK8 @ (^[Y1 : $i]: (sF2 @ (^[Y2 : $i]: (Y0 @ Y1 @ (X0 @ Y0 @ Y1 @ Y2)))))) @ (X2 @ Y0)))))) != (sK8 @ (sK9 @ (^[Y0 : $i > $i > $o]: ((sF2 @ (^[Y1 : $i]: (sF2 @ (Y0 @ Y1)))) => (Y0 @ (sK8 @ (^[Y1 : $i]: (sF2 @ (^[Y2 : $i]: (Y0 @ Y1 @ (X1 @ Y0 @ Y1 @ Y2)))))) @ (X3 @ Y0)))) @ (sK8 @ (^[Y0 : $i]: (sF2 @ (sK9 @ (^[Y1 : $i > $i > $o]: ((sF2 @ (^[Y2 : $i]: (sF2 @ (Y1 @ Y2)))) => (Y1 @ (sK8 @ (^[Y2 : $i]: (sF2 @ (^[Y3 : $i]: (Y1 @ Y2 @ (X1 @ Y1 @ Y2 @ Y3)))))) @ (X3 @ Y1)))) @ Y0))))))) | (((^[Y0 : $i > $i > $o]: (sK8 @ (^[Y1 : $i]: (sF2 @ (^[Y2 : $i]: (Y0 @ Y1 @ (X1 @ Y0 @ Y1 @ Y2))))))) @ (sK11 @ X1 @ X0)) != ((^[Y0 : $i > $i > $o]: (sK8 @ (^[Y1 : $i]: (sF2 @ (^[Y2 : $i]: (Y0 @ Y1 @ (X0 @ Y0 @ Y1 @ Y2))))))) @ (sK11 @ X1 @ X0))) | ((^[Y0 : $i]: ((^[Y1 : $i]: (X1)))) != (^[Y0 : $i]: ((^[Y1 : $i]: (X0))))) | ((X0 @ (sK9 @ (^[Y0 : $i > $i > $o]: ((sF2 @ (^[Y1 : $i]: (sF2 @ (Y0 @ Y1)))) => (Y0 @ (sK8 @ (^[Y1 : $i]: (sF2 @ (^[Y2 : $i]: (Y0 @ Y1 @ (X0 @ Y0 @ Y1 @ Y2)))))) @ (X2 @ Y0)))))) != (^[Y0 : $i]: ((^[Y1 : $i]: (Y1))))) | (X2 != X3) | ((^[Y0 : $i]: ((^[Y1 : $i]: (X2)))) != (^[Y0 : $i]: ((^[Y1 : $i]: (X3)))))) ) | ~spl6_1),
% 2.60/0.69 inference(negative_extensionality,[],[f188])).
% 2.60/0.69 thf(f188,plain,(
% 2.60/0.69 ( ! [X2 : ($i > $i > $o) > $i,X3 : ($i > $i > $o) > $i,X0 : ($i > $i > $o) > $i > $i > $i,X1 : ($i > $i > $o) > $i > $i > $i] : (((^[Y0 : $i > $i > $o]: (sK8 @ (^[Y1 : $i]: (sF2 @ (^[Y2 : $i]: (Y0 @ Y1 @ (X1 @ Y0 @ Y1 @ Y2))))))) != (^[Y0 : $i > $i > $o]: (sK8 @ (^[Y1 : $i]: (sF2 @ (^[Y2 : $i]: (Y0 @ Y1 @ (X0 @ Y0 @ Y1 @ Y2)))))))) | ((X2 @ (sK9 @ (^[Y0 : $i > $i > $o]: ((sF2 @ (^[Y1 : $i]: (sF2 @ (Y0 @ Y1)))) => (Y0 @ (sK8 @ (^[Y1 : $i]: (sF2 @ (^[Y2 : $i]: (Y0 @ Y1 @ (X0 @ Y0 @ Y1 @ Y2)))))) @ (X2 @ Y0)))))) != (sK8 @ (sK9 @ (^[Y0 : $i > $i > $o]: ((sF2 @ (^[Y1 : $i]: (sF2 @ (Y0 @ Y1)))) => (Y0 @ (sK8 @ (^[Y1 : $i]: (sF2 @ (^[Y2 : $i]: (Y0 @ Y1 @ (X1 @ Y0 @ Y1 @ Y2)))))) @ (X3 @ Y0)))) @ (sK8 @ (^[Y0 : $i]: (sF2 @ (sK9 @ (^[Y1 : $i > $i > $o]: ((sF2 @ (^[Y2 : $i]: (sF2 @ (Y1 @ Y2)))) => (Y1 @ (sK8 @ (^[Y2 : $i]: (sF2 @ (^[Y3 : $i]: (Y1 @ Y2 @ (X1 @ Y1 @ Y2 @ Y3)))))) @ (X3 @ Y1)))) @ Y0))))))) | ((X0 @ (sK9 @ (^[Y0 : $i > $i > $o]: ((sF2 @ (^[Y1 : $i]: (sF2 @ (Y0 @ Y1)))) => (Y0 @ (sK8 @ (^[Y1 : $i]: (sF2 @ (^[Y2 : $i]: (Y0 @ Y1 @ (X0 @ Y0 @ Y1 @ Y2)))))) @ (X2 @ Y0)))))) != (^[Y0 : $i]: ((^[Y1 : $i]: (Y1))))) | (X2 != X3) | ((^[Y0 : $i]: ((^[Y1 : $i]: (X1)))) != (^[Y0 : $i]: ((^[Y1 : $i]: (X0))))) | ((^[Y0 : $i]: ((^[Y1 : $i]: (X2)))) != (^[Y0 : $i]: ((^[Y1 : $i]: (X3)))))) ) | ~spl6_1),
% 2.60/0.69 inference(beta_eta_normalization,[],[f187])).
% 2.60/0.69 thf(f187,plain,(
% 2.60/0.69 ( ! [X2 : ($i > $i > $o) > $i,X3 : ($i > $i > $o) > $i,X0 : ($i > $i > $o) > $i > $i > $i,X1 : ($i > $i > $o) > $i > $i > $i] : ((X2 != X3) | ((^[Y0 : $i > $i > $o]: (sK8 @ (^[Y1 : $i]: (sF2 @ ((^[Y2 : $i > $i > $o]: ((^[Y3 : $i]: ((^[Y4 : $i]: (Y2 @ ((^[Y5 : $i > $i > $o]: ((^[Y6 : $i]: ((^[Y7 : $i]: (Y6)))))) @ Y2 @ Y3 @ Y4) @ (X1 @ Y2 @ Y3 @ Y4))))))) @ Y0 @ Y1))))) != (^[Y0 : $i > $i > $o]: (sK8 @ (^[Y1 : $i]: (sF2 @ (^[Y2 : $i]: (Y0 @ Y1 @ (X0 @ Y0 @ Y1 @ Y2)))))))) | ((^[Y0 : $i]: ((^[Y1 : $i]: ((^[Y2 : $i > $i > $o]: ((^[Y3 : $i]: ((^[Y4 : $i]: (X0 @ Y2 @ Y3 @ Y4)))))))))) != (^[Y0 : $i]: ((^[Y1 : $i]: ((^[Y2 : $i > $i > $o]: ((^[Y3 : $i]: ((^[Y4 : $i]: (X1 @ Y2 @ Y3 @ Y4))))))))))) | ((X2 @ (sK9 @ (^[Y0 : $i > $i > $o]: ((sF2 @ (^[Y1 : $i]: (sF2 @ (Y0 @ Y1)))) => (Y0 @ (sK8 @ (^[Y1 : $i]: (sF2 @ (^[Y2 : $i]: (Y0 @ Y1 @ (X0 @ Y0 @ Y1 @ Y2)))))) @ (X2 @ Y0)))))) != (sK8 @ (sK9 @ (^[Y0 : $i > $i > $o]: ((sF2 @ (^[Y1 : $i]: (sF2 @ (Y0 @ Y1)))) => (Y0 @ (sK8 @ (^[Y1 : $i]: (sF2 @ ((^[Y2 : $i > $i > $o]: ((^[Y3 : $i]: ((^[Y4 : $i]: (Y2 @ ((^[Y5 : $i > $i > $o]: ((^[Y6 : $i]: ((^[Y7 : $i]: (Y6)))))) @ Y2 @ Y3 @ Y4) @ (X1 @ Y2 @ Y3 @ Y4))))))) @ Y0 @ Y1)))) @ (X3 @ Y0)))) @ (sK8 @ (^[Y0 : $i]: (sF2 @ (sK9 @ (^[Y1 : $i > $i > $o]: ((sF2 @ (^[Y2 : $i]: (sF2 @ (Y1 @ Y2)))) => (Y1 @ (sK8 @ (^[Y2 : $i]: (sF2 @ ((^[Y3 : $i > $i > $o]: ((^[Y4 : $i]: ((^[Y5 : $i]: (Y3 @ ((^[Y6 : $i > $i > $o]: ((^[Y7 : $i]: ((^[Y8 : $i]: (Y7)))))) @ Y3 @ Y4 @ Y5) @ (X1 @ Y3 @ Y4 @ Y5))))))) @ Y1 @ Y2)))) @ (X3 @ Y1)))) @ Y0))))))) | ((^[Y0 : $i]: ((^[Y1 : $i]: (X2)))) != (^[Y0 : $i]: ((^[Y1 : $i]: (X3))))) | ((X0 @ (sK9 @ (^[Y0 : $i > $i > $o]: ((sF2 @ (^[Y1 : $i]: (sF2 @ (Y0 @ Y1)))) => (Y0 @ (sK8 @ (^[Y1 : $i]: (sF2 @ (^[Y2 : $i]: (Y0 @ Y1 @ (X0 @ Y0 @ Y1 @ Y2)))))) @ (X2 @ Y0)))))) != (^[Y0 : $i]: ((^[Y1 : $i]: (Y1)))))) ) | ~spl6_1),
% 2.60/0.69 inference(equality_resolution,[],[f186])).
% 2.60/0.69 thf(f186,plain,(
% 2.60/0.69 ( ! [X2 : ($i > $i > $o) > $i,X3 : ($i > $i > $o) > $i,X0 : ($i > $i > $o) > $i > $i > $i,X1 : ($i > $i > $o) > $i > $i > $o] : (((^[Y0 : $i]: ((^[Y1 : $i]: ((^[Y2 : $i > $i > $o]: ((^[Y3 : $i]: ((^[Y4 : $i]: (Y2 @ Y3 @ (X0 @ Y2 @ Y3 @ Y4))))))))))) != (^[Y0 : $i]: ((^[Y1 : $i]: (X1))))) | ((^[Y0 : $i > $i > $o]: (sK8 @ (^[Y1 : $i]: (sF2 @ (X1 @ Y0 @ Y1))))) != (^[Y0 : $i > $i > $o]: (sK8 @ (^[Y1 : $i]: (sF2 @ (^[Y2 : $i]: (Y0 @ Y1 @ (X0 @ Y0 @ Y1 @ Y2)))))))) | ((X0 @ (sK9 @ (^[Y0 : $i > $i > $o]: ((sF2 @ (^[Y1 : $i]: (sF2 @ (Y0 @ Y1)))) => (Y0 @ (sK8 @ (^[Y1 : $i]: (sF2 @ (^[Y2 : $i]: (Y0 @ Y1 @ (X0 @ Y0 @ Y1 @ Y2)))))) @ (X3 @ Y0)))))) != (^[Y0 : $i]: ((^[Y1 : $i]: (Y1))))) | ((X3 @ (sK9 @ (^[Y0 : $i > $i > $o]: ((sF2 @ (^[Y1 : $i]: (sF2 @ (Y0 @ Y1)))) => (Y0 @ (sK8 @ (^[Y1 : $i]: (sF2 @ (^[Y2 : $i]: (Y0 @ Y1 @ (X0 @ Y0 @ Y1 @ Y2)))))) @ (X3 @ Y0)))))) != (sK8 @ (sK9 @ (^[Y0 : $i > $i > $o]: ((sF2 @ (^[Y1 : $i]: (sF2 @ (Y0 @ Y1)))) => (Y0 @ (sK8 @ (^[Y1 : $i]: (sF2 @ (X1 @ Y0 @ Y1)))) @ (X2 @ Y0)))) @ (sK8 @ (^[Y0 : $i]: (sF2 @ (sK9 @ (^[Y1 : $i > $i > $o]: ((sF2 @ (^[Y2 : $i]: (sF2 @ (Y1 @ Y2)))) => (Y1 @ (sK8 @ (^[Y2 : $i]: (sF2 @ (X1 @ Y1 @ Y2)))) @ (X2 @ Y1)))) @ Y0))))))) | (X2 != X3) | ((^[Y0 : $i]: ((^[Y1 : $i]: (X2)))) != (^[Y0 : $i]: ((^[Y1 : $i]: (X3)))))) ) | ~spl6_1),
% 2.60/0.69 inference(beta_eta_normalization,[],[f185])).
% 2.60/0.69 thf(f185,plain,(
% 2.60/0.69 ( ! [X2 : ($i > $i > $o) > $i,X3 : ($i > $i > $o) > $i,X0 : ($i > $i > $o) > $i > $i > $i,X1 : ($i > $i > $o) > $i > $i > $o] : (((sK8 @ (sK9 @ (^[Y0 : $i > $i > $o]: ((sF2 @ (^[Y1 : $i]: (sF2 @ (Y0 @ Y1)))) => (Y0 @ ((^[Y1 : $i > $i > $o]: (sK8 @ ((^[Y2 : $i > $i > $o]: ((^[Y3 : $i]: (sF2 @ (X1 @ Y2 @ Y3))))) @ Y1))) @ Y0) @ (X2 @ Y0)))) @ (sK8 @ (^[Y0 : $i]: (sF2 @ (sK9 @ (^[Y1 : $i > $i > $o]: ((sF2 @ (^[Y2 : $i]: (sF2 @ (Y1 @ Y2)))) => (Y1 @ ((^[Y2 : $i > $i > $o]: (sK8 @ ((^[Y3 : $i > $i > $o]: ((^[Y4 : $i]: (sF2 @ (X1 @ Y3 @ Y4))))) @ Y2))) @ Y1) @ (X2 @ Y1)))) @ Y0)))))) != (X3 @ (sK9 @ (^[Y0 : $i > $i > $o]: ((sF2 @ (^[Y1 : $i]: (sF2 @ (Y0 @ Y1)))) => (Y0 @ (sK8 @ (^[Y1 : $i]: (sF2 @ (^[Y2 : $i]: (Y0 @ Y1 @ (X0 @ Y0 @ Y1 @ Y2)))))) @ (X3 @ Y0))))))) | ((^[Y0 : $i]: ((^[Y1 : $i]: (X2)))) != (^[Y0 : $i]: ((^[Y1 : $i]: (X3))))) | ((^[Y0 : $i]: ((^[Y1 : $i]: ((^[Y2 : $i > $i > $o]: ((^[Y3 : $i]: (X1 @ Y2 @ Y3)))))))) != (^[Y0 : $i]: ((^[Y1 : $i]: ((^[Y2 : $i > $i > $o]: ((^[Y3 : $i]: ((^[Y4 : $i]: (Y2 @ Y3 @ (X0 @ Y2 @ Y3 @ Y4)))))))))))) | ((^[Y0 : $i > $i > $o]: (sK8 @ ((^[Y1 : $i > $i > $o]: ((^[Y2 : $i]: (sF2 @ (X1 @ Y1 @ Y2))))) @ Y0))) != (^[Y0 : $i > $i > $o]: (sK8 @ (^[Y1 : $i]: (sF2 @ (^[Y2 : $i]: (Y0 @ Y1 @ (X0 @ Y0 @ Y1 @ Y2)))))))) | ((X0 @ (sK9 @ (^[Y0 : $i > $i > $o]: ((sF2 @ (^[Y1 : $i]: (sF2 @ (Y0 @ Y1)))) => (Y0 @ (sK8 @ (^[Y1 : $i]: (sF2 @ (^[Y2 : $i]: (Y0 @ Y1 @ (X0 @ Y0 @ Y1 @ Y2)))))) @ (X3 @ Y0)))))) != (^[Y0 : $i]: ((^[Y1 : $i]: (Y1))))) | (X2 != X3)) ) | ~spl6_1),
% 2.60/0.69 inference(equality_resolution,[],[f184])).
% 2.60/0.69 thf(f184,plain,(
% 2.60/0.69 ( ! [X2 : ($i > $i > $o) > $i > $i > $i,X3 : ($i > $i > $o) > $i,X0 : ($i > $i > $o) > $i,X1 : ($i > $i > $o) > $i] : (((^[Y0 : $i]: ((^[Y1 : $i]: ((^[Y2 : $i > $i > $o]: (sK8 @ (^[Y3 : $i]: (sF2 @ (^[Y4 : $i]: (Y2 @ Y3 @ (X2 @ Y2 @ Y3 @ Y4))))))))))) != (^[Y0 : $i]: ((^[Y1 : $i]: (X3))))) | ((sK8 @ (sK9 @ (^[Y0 : $i > $i > $o]: ((sF2 @ (^[Y1 : $i]: (sF2 @ (Y0 @ Y1)))) => (Y0 @ (X3 @ Y0) @ (X1 @ Y0)))) @ (sK8 @ (^[Y0 : $i]: (sF2 @ (sK9 @ (^[Y1 : $i > $i > $o]: ((sF2 @ (^[Y2 : $i]: (sF2 @ (Y1 @ Y2)))) => (Y1 @ (X3 @ Y1) @ (X1 @ Y1)))) @ Y0)))))) != (X0 @ (sK9 @ (^[Y0 : $i > $i > $o]: ((sF2 @ (^[Y1 : $i]: (sF2 @ (Y0 @ Y1)))) => (Y0 @ (sK8 @ (^[Y1 : $i]: (sF2 @ (^[Y2 : $i]: (Y0 @ Y1 @ (X2 @ Y0 @ Y1 @ Y2)))))) @ (X0 @ Y0))))))) | ((^[Y0 : $i]: ((^[Y1 : $i]: (Y1)))) != (X2 @ (sK9 @ (^[Y0 : $i > $i > $o]: ((sF2 @ (^[Y1 : $i]: (sF2 @ (Y0 @ Y1)))) => (Y0 @ (sK8 @ (^[Y1 : $i]: (sF2 @ (^[Y2 : $i]: (Y0 @ Y1 @ (X2 @ Y0 @ Y1 @ Y2)))))) @ (X0 @ Y0))))))) | ((^[Y0 : $i > $i > $o]: (sK8 @ (^[Y1 : $i]: (sF2 @ (^[Y2 : $i]: (Y0 @ Y1 @ (X2 @ Y0 @ Y1 @ Y2))))))) != X3) | ((^[Y0 : $i]: ((^[Y1 : $i]: (X1)))) != (^[Y0 : $i]: ((^[Y1 : $i]: (X0))))) | (X0 != X1)) ) | ~spl6_1),
% 2.60/0.69 inference(beta_eta_normalization,[],[f183])).
% 2.60/0.69 thf(f183,plain,(
% 2.60/0.69 ( ! [X2 : ($i > $i > $o) > $i > $i > $i,X3 : ($i > $i > $o) > $i,X0 : ($i > $i > $o) > $i,X1 : ($i > $i > $o) > $i] : (((^[Y0 : $i]: ((^[Y1 : $i]: (X2 @ (sK9 @ (^[Y2 : $i > $i > $o]: ((sF2 @ (^[Y3 : $i]: (sF2 @ (Y2 @ Y3)))) => (Y2 @ (sK8 @ (^[Y3 : $i]: (sF2 @ ((^[Y4 : $i > $i > $o]: ((^[Y5 : $i]: ((^[Y6 : $i]: (Y4 @ ((^[Y7 : $i > $i > $o]: ((^[Y8 : $i]: ((^[Y9 : $i]: (Y8)))))) @ Y4 @ Y5 @ Y6) @ (X2 @ Y4 @ Y5 @ Y6))))))) @ Y2 @ Y3)))) @ (X0 @ Y2))))) @ Y0 @ Y1)))) != (^[Y0 : $i]: ((^[Y1 : $i]: (Y1))))) | ((^[Y0 : $i > $i > $o]: (sK8 @ (^[Y1 : $i]: (sF2 @ ((^[Y2 : $i > $i > $o]: ((^[Y3 : $i]: ((^[Y4 : $i]: (Y2 @ ((^[Y5 : $i > $i > $o]: ((^[Y6 : $i]: ((^[Y7 : $i]: (Y6)))))) @ Y2 @ Y3 @ Y4) @ (X2 @ Y2 @ Y3 @ Y4))))))) @ Y0 @ Y1))))) != X3) | (X0 != X1) | ((X0 @ (sK9 @ (^[Y0 : $i > $i > $o]: ((sF2 @ (^[Y1 : $i]: (sF2 @ (Y0 @ Y1)))) => (Y0 @ (sK8 @ (^[Y1 : $i]: (sF2 @ ((^[Y2 : $i > $i > $o]: ((^[Y3 : $i]: ((^[Y4 : $i]: (Y2 @ ((^[Y5 : $i > $i > $o]: ((^[Y6 : $i]: ((^[Y7 : $i]: (Y6)))))) @ Y2 @ Y3 @ Y4) @ (X2 @ Y2 @ Y3 @ Y4))))))) @ Y0 @ Y1)))) @ (X0 @ Y0)))))) != (sK8 @ (sK9 @ (^[Y0 : $i > $i > $o]: ((sF2 @ (^[Y1 : $i]: (sF2 @ (Y0 @ Y1)))) => (Y0 @ (X3 @ Y0) @ (X1 @ Y0)))) @ (sK8 @ (^[Y0 : $i]: (sF2 @ (sK9 @ (^[Y1 : $i > $i > $o]: ((sF2 @ (^[Y2 : $i]: (sF2 @ (Y1 @ Y2)))) => (Y1 @ (X3 @ Y1) @ (X1 @ Y1)))) @ Y0))))))) | ((^[Y0 : $i]: ((^[Y1 : $i]: ((^[Y2 : $i > $i > $o]: (sK8 @ (^[Y3 : $i]: (sF2 @ ((^[Y4 : $i > $i > $o]: ((^[Y5 : $i]: ((^[Y6 : $i]: (Y4 @ ((^[Y7 : $i > $i > $o]: ((^[Y8 : $i]: ((^[Y9 : $i]: (Y8)))))) @ Y4 @ Y5 @ Y6) @ (X2 @ Y4 @ Y5 @ Y6))))))) @ Y2 @ Y3))))))))) != (^[Y0 : $i]: ((^[Y1 : $i]: ((^[Y2 : $i > $i > $o]: (X3 @ Y2))))))) | ((^[Y0 : $i]: ((^[Y1 : $i]: ((^[Y2 : $i > $i > $o]: (X1 @ Y2)))))) != (^[Y0 : $i]: ((^[Y1 : $i]: ((^[Y2 : $i > $i > $o]: (X0 @ Y2)))))))) ) | ~spl6_1),
% 2.60/0.69 inference(equality_resolution,[],[f180])).
% 2.60/0.69 thf(f180,plain,(
% 2.60/0.69 ( ! [X2 : ($i > $i > $o) > $i,X3 : ($i > $i > $o) > $i > $i > $o,X0 : ($i > $i > $o) > $i,X1 : ($i > $i > $o) > $i] : (((X3 @ (sK9 @ (^[Y0 : $i > $i > $o]: ((sF2 @ (^[Y1 : $i]: (sF2 @ (Y0 @ Y1)))) => (Y0 @ (sK8 @ (^[Y1 : $i]: (sF2 @ (X3 @ Y0 @ Y1)))) @ (X1 @ Y0)))))) != (sK9 @ (^[Y0 : $i > $i > $o]: ((sF2 @ (^[Y1 : $i]: (sF2 @ (Y0 @ Y1)))) => (Y0 @ (X2 @ Y0) @ (X0 @ Y0)))))) | ((sK8 @ (sK9 @ (^[Y0 : $i > $i > $o]: ((sF2 @ (^[Y1 : $i]: (sF2 @ (Y0 @ Y1)))) => (Y0 @ (X2 @ Y0) @ (X0 @ Y0)))) @ (sK8 @ (^[Y0 : $i]: (sF2 @ (sK9 @ (^[Y1 : $i > $i > $o]: ((sF2 @ (^[Y2 : $i]: (sF2 @ (Y1 @ Y2)))) => (Y1 @ (X2 @ Y1) @ (X0 @ Y1)))) @ Y0)))))) != (X1 @ (sK9 @ (^[Y0 : $i > $i > $o]: ((sF2 @ (^[Y1 : $i]: (sF2 @ (Y0 @ Y1)))) => (Y0 @ (sK8 @ (^[Y1 : $i]: (sF2 @ (X3 @ Y0 @ Y1)))) @ (X1 @ Y0))))))) | ((^[Y0 : $i > $i > $o]: (sK8 @ (^[Y1 : $i]: (sF2 @ (X3 @ Y0 @ Y1))))) != X2) | (X0 != X1)) ) | ~spl6_1),
% 2.60/0.69 inference(beta_eta_normalization,[],[f179])).
% 2.60/0.69 thf(f179,plain,(
% 2.60/0.69 ( ! [X2 : ($i > $i > $o) > $i,X3 : ($i > $i > $o) > $i > $i > $o,X0 : ($i > $i > $o) > $i,X1 : ($i > $i > $o) > $i] : (((X1 @ (sK9 @ (^[Y0 : $i > $i > $o]: ((sF2 @ (^[Y1 : $i]: (sF2 @ (Y0 @ Y1)))) => (Y0 @ ((^[Y1 : $i > $i > $o]: (sK8 @ ((^[Y2 : $i > $i > $o]: ((^[Y3 : $i]: (sF2 @ (X3 @ Y2 @ Y3))))) @ Y1))) @ Y0) @ (X1 @ Y0)))))) != (sK8 @ (sK9 @ (^[Y0 : $i > $i > $o]: ((sF2 @ (^[Y1 : $i]: (sF2 @ (Y0 @ Y1)))) => (Y0 @ (X2 @ Y0) @ (X0 @ Y0)))) @ (sK8 @ (^[Y0 : $i]: (sF2 @ (sK9 @ (^[Y1 : $i > $i > $o]: ((sF2 @ (^[Y2 : $i]: (sF2 @ (Y1 @ Y2)))) => (Y1 @ (X2 @ Y1) @ (X0 @ Y1)))) @ Y0))))))) | ((^[Y0 : $i]: (X3 @ (sK9 @ (^[Y1 : $i > $i > $o]: ((sF2 @ (^[Y2 : $i]: (sF2 @ (Y1 @ Y2)))) => (Y1 @ ((^[Y2 : $i > $i > $o]: (sK8 @ ((^[Y3 : $i > $i > $o]: ((^[Y4 : $i]: (sF2 @ (X3 @ Y3 @ Y4))))) @ Y2))) @ Y1) @ (X1 @ Y1))))) @ Y0)) != (^[Y0 : $i]: (sK9 @ (^[Y1 : $i > $i > $o]: ((sF2 @ (^[Y2 : $i]: (sF2 @ (Y1 @ Y2)))) => (Y1 @ (X2 @ Y1) @ (X0 @ Y1)))) @ Y0))) | ((^[Y0 : $i > $i > $o]: (X1 @ Y0)) != (^[Y0 : $i > $i > $o]: (X0 @ Y0))) | ((^[Y0 : $i > $i > $o]: (X2 @ Y0)) != (^[Y0 : $i > $i > $o]: (sK8 @ ((^[Y1 : $i > $i > $o]: ((^[Y2 : $i]: (sF2 @ (X3 @ Y1 @ Y2))))) @ Y0))))) ) | ~spl6_1),
% 2.60/0.69 inference(trivial_inequality_removal,[],[f177])).
% 2.60/0.69 thf(f177,plain,(
% 2.60/0.69 ( ! [X2 : ($i > $i > $o) > $i,X3 : ($i > $i > $o) > $i > $i > $o,X0 : ($i > $i > $o) > $i,X1 : ($i > $i > $o) > $i] : (((X1 @ (sK9 @ (^[Y0 : $i > $i > $o]: ((sF2 @ (^[Y1 : $i]: (sF2 @ (Y0 @ Y1)))) => (Y0 @ ((^[Y1 : $i > $i > $o]: (sK8 @ ((^[Y2 : $i > $i > $o]: ((^[Y3 : $i]: (sF2 @ (X3 @ Y2 @ Y3))))) @ Y1))) @ Y0) @ (X1 @ Y0)))))) != (sK8 @ (sK9 @ (^[Y0 : $i > $i > $o]: ((sF2 @ (^[Y1 : $i]: (sF2 @ (Y0 @ Y1)))) => (Y0 @ (X2 @ Y0) @ (X0 @ Y0)))) @ (sK8 @ (^[Y0 : $i]: (sF2 @ (sK9 @ (^[Y1 : $i > $i > $o]: ((sF2 @ (^[Y2 : $i]: (sF2 @ (Y1 @ Y2)))) => (Y1 @ (X2 @ Y1) @ (X0 @ Y1)))) @ Y0))))))) | ((^[Y0 : $i > $i > $o]: (X1 @ Y0)) != (^[Y0 : $i > $i > $o]: (X0 @ Y0))) | ((^[Y0 : $i]: (X3 @ (sK9 @ (^[Y1 : $i > $i > $o]: ((sF2 @ (^[Y2 : $i]: (sF2 @ (Y1 @ Y2)))) => (Y1 @ ((^[Y2 : $i > $i > $o]: (sK8 @ ((^[Y3 : $i > $i > $o]: ((^[Y4 : $i]: (sF2 @ (X3 @ Y3 @ Y4))))) @ Y2))) @ Y1) @ (X1 @ Y1))))) @ Y0)) != (^[Y0 : $i]: (sK9 @ (^[Y1 : $i > $i > $o]: ((sF2 @ (^[Y2 : $i]: (sF2 @ (Y1 @ Y2)))) => (Y1 @ (X2 @ Y1) @ (X0 @ Y1)))) @ Y0))) | ($true = $false) | ((^[Y0 : $i > $i > $o]: (X2 @ Y0)) != (^[Y0 : $i > $i > $o]: (sK8 @ ((^[Y1 : $i > $i > $o]: ((^[Y2 : $i]: (sF2 @ (X3 @ Y1 @ Y2))))) @ Y0))))) ) | ~spl6_1),
% 2.60/0.69 inference(constrained_superposition,[],[f175,f137])).
% 2.60/0.69 thf(f137,plain,(
% 2.60/0.69 ( ! [X0 : ($i > $i > $o) > $i,X1 : ($i > $i > $o) > $i] : (((sK9 @ (^[Y0 : $i > $i > $o]: ((sF2 @ (^[Y1 : $i]: (sF2 @ (Y0 @ Y1)))) => (Y0 @ (X0 @ Y0) @ (X1 @ Y0)))) @ (X0 @ (sK9 @ (^[Y0 : $i > $i > $o]: ((sF2 @ (^[Y1 : $i]: (sF2 @ (Y0 @ Y1)))) => (Y0 @ (X0 @ Y0) @ (X1 @ Y0)))))) @ (X1 @ (sK9 @ (^[Y0 : $i > $i > $o]: ((sF2 @ (^[Y1 : $i]: (sF2 @ (Y0 @ Y1)))) => (Y0 @ (X0 @ Y0) @ (X1 @ Y0))))))) = $false)) ) | ~spl6_1),
% 2.60/0.69 inference(trivial_inequality_removal,[],[f136])).
% 2.60/0.69 thf(f136,plain,(
% 2.60/0.69 ( ! [X0 : ($i > $i > $o) > $i,X1 : ($i > $i > $o) > $i] : (($true = $false) | ((sK9 @ (^[Y0 : $i > $i > $o]: ((sF2 @ (^[Y1 : $i]: (sF2 @ (Y0 @ Y1)))) => (Y0 @ (X0 @ Y0) @ (X1 @ Y0)))) @ (X0 @ (sK9 @ (^[Y0 : $i > $i > $o]: ((sF2 @ (^[Y1 : $i]: (sF2 @ (Y0 @ Y1)))) => (Y0 @ (X0 @ Y0) @ (X1 @ Y0)))))) @ (X1 @ (sK9 @ (^[Y0 : $i > $i > $o]: ((sF2 @ (^[Y1 : $i]: (sF2 @ (Y0 @ Y1)))) => (Y0 @ (X0 @ Y0) @ (X1 @ Y0))))))) = $false)) ) | ~spl6_1),
% 2.60/0.69 inference(boolean_simplification,[],[f128])).
% 2.60/0.69 thf(f128,plain,(
% 2.60/0.69 ( ! [X0 : ($i > $i > $o) > $i,X1 : ($i > $i > $o) > $i] : ((((sF2 @ (^[Y0 : $i]: (sF2 @ (sK9 @ (^[Y1 : $i > $i > $o]: ((sF2 @ (^[Y2 : $i]: (sF2 @ (Y1 @ Y2)))) => (Y1 @ (X0 @ Y1) @ (X1 @ Y1)))) @ Y0)))) => $true) = $false) | ((sK9 @ (^[Y0 : $i > $i > $o]: ((sF2 @ (^[Y1 : $i]: (sF2 @ (Y0 @ Y1)))) => (Y0 @ (X0 @ Y0) @ (X1 @ Y0)))) @ (X0 @ (sK9 @ (^[Y0 : $i > $i > $o]: ((sF2 @ (^[Y1 : $i]: (sF2 @ (Y0 @ Y1)))) => (Y0 @ (X0 @ Y0) @ (X1 @ Y0)))))) @ (X1 @ (sK9 @ (^[Y0 : $i > $i > $o]: ((sF2 @ (^[Y1 : $i]: (sF2 @ (Y0 @ Y1)))) => (Y0 @ (X0 @ Y0) @ (X1 @ Y0))))))) = $false)) ) | ~spl6_1),
% 2.60/0.69 inference(cases_simplifying,[],[f125])).
% 2.60/0.69 thf(f125,plain,(
% 2.60/0.69 ( ! [X0 : ($i > $i > $o) > $i,X1 : ($i > $i > $o) > $i] : (($false = ((sF2 @ (^[Y0 : $i]: (sF2 @ (sK9 @ (^[Y1 : $i > $i > $o]: ((sF2 @ (^[Y2 : $i]: (sF2 @ (Y1 @ Y2)))) => (Y1 @ (X0 @ Y1) @ (X1 @ Y1)))) @ Y0)))) => (sK9 @ (^[Y0 : $i > $i > $o]: ((sF2 @ (^[Y1 : $i]: (sF2 @ (Y0 @ Y1)))) => (Y0 @ (X0 @ Y0) @ (X1 @ Y0)))) @ (X0 @ (sK9 @ (^[Y0 : $i > $i > $o]: ((sF2 @ (^[Y1 : $i]: (sF2 @ (Y0 @ Y1)))) => (Y0 @ (X0 @ Y0) @ (X1 @ Y0)))))) @ (X1 @ (sK9 @ (^[Y0 : $i > $i > $o]: ((sF2 @ (^[Y1 : $i]: (sF2 @ (Y0 @ Y1)))) => (Y0 @ (X0 @ Y0) @ (X1 @ Y0)))))))))) ) | ~spl6_1),
% 2.60/0.69 inference(beta_eta_normalization,[],[f124])).
% 2.60/0.69 thf(f124,plain,(
% 2.60/0.69 ( ! [X0 : ($i > $i > $o) > $i,X1 : ($i > $i > $o) > $i] : ((((^[Y0 : $i > $i > $o]: ((sF2 @ (^[Y1 : $i]: (sF2 @ (Y0 @ Y1)))) => (Y0 @ (X0 @ Y0) @ (X1 @ Y0)))) @ (sK9 @ (^[Y0 : $i > $i > $o]: ((sF2 @ (^[Y1 : $i]: (sF2 @ (Y0 @ Y1)))) => (Y0 @ (X0 @ Y0) @ (X1 @ Y0)))))) = $false)) ) | ~spl6_1),
% 2.60/0.69 inference(trivial_inequality_removal,[],[f122])).
% 2.60/0.69 thf(f122,plain,(
% 2.60/0.69 ( ! [X0 : ($i > $i > $o) > $i,X1 : ($i > $i > $o) > $i] : ((((^[Y0 : $i > $i > $o]: ((sF2 @ (^[Y1 : $i]: (sF2 @ (Y0 @ Y1)))) => (Y0 @ (X0 @ Y0) @ (X1 @ Y0)))) @ (sK9 @ (^[Y0 : $i > $i > $o]: ((sF2 @ (^[Y1 : $i]: (sF2 @ (Y0 @ Y1)))) => (Y0 @ (X0 @ Y0) @ (X1 @ Y0)))))) = $false) | ($true = $false)) ) | ~spl6_1),
% 2.60/0.69 inference(superposition,[],[f116,f76])).
% 2.60/0.69 thf(f76,plain,(
% 2.60/0.69 ( ! [X1 : ($i > $i > $o) > $o] : (((sF1 @ X1) = $true) | ((X1 @ (sK9 @ X1)) = $false)) )),
% 2.60/0.69 inference(sigma_clausification,[],[f50])).
% 2.60/0.69 thf(f50,plain,(
% 2.60/0.69 ( ! [X1 : ($i > $i > $o) > $o] : (((!! @ ($i > $i > $o) @ X1) = $false) | ((sF1 @ X1) = $true)) )),
% 2.60/0.69 inference(binary_proxy_clausification,[],[f44])).
% 2.60/0.69 thf(f44,plain,(
% 2.60/0.69 ( ! [X1 : ($i > $i > $o) > $o] : (((sF1 @ X1) = (!! @ ($i > $i > $o) @ X1))) )),
% 2.60/0.69 inference(argument_congruence,[],[f8])).
% 2.60/0.69 thf(f8,plain,(
% 2.60/0.69 (sF1 = !! @ ($i > $i > $o))),
% 2.60/0.69 introduced(function_definition,[])).
% 2.60/0.69 thf(f116,plain,(
% 2.60/0.69 ( ! [X0 : ($i > $i > $o) > $i,X1 : ($i > $i > $o) > $i] : (((sF1 @ (^[Y0 : $i > $i > $o]: ((sF2 @ (^[Y1 : $i]: (sF2 @ (Y0 @ Y1)))) => (Y0 @ (X1 @ Y0) @ (X0 @ Y0))))) = $false)) ) | ~spl6_1),
% 2.60/0.69 inference(beta_eta_normalization,[],[f115])).
% 2.60/0.69 thf(f115,plain,(
% 2.60/0.69 ( ! [X0 : ($i > $i > $o) > $i,X1 : ($i > $i > $o) > $i] : ((((^[Y0 : ($i > $i > $o) > $i]: (sF1 @ (^[Y1 : $i > $i > $o]: ((sF2 @ (^[Y2 : $i]: (sF2 @ (Y1 @ Y2)))) => (Y1 @ (Y0 @ Y1) @ (X0 @ Y1)))))) @ X1) = $false)) ) | ~spl6_1),
% 2.60/0.69 inference(trivial_inequality_removal,[],[f113])).
% 2.60/0.69 thf(f113,plain,(
% 2.60/0.69 ( ! [X0 : ($i > $i > $o) > $i,X1 : ($i > $i > $o) > $i] : (($true = $false) | (((^[Y0 : ($i > $i > $o) > $i]: (sF1 @ (^[Y1 : $i > $i > $o]: ((sF2 @ (^[Y2 : $i]: (sF2 @ (Y1 @ Y2)))) => (Y1 @ (Y0 @ Y1) @ (X0 @ Y1)))))) @ X1) = $false)) ) | ~spl6_1),
% 2.60/0.69 inference(superposition,[],[f112,f95])).
% 2.60/0.69 thf(f95,plain,(
% 2.60/0.69 ( ! [X2 : ($i > $i > $o) > $i,X1 : (($i > $i > $o) > $i) > $o] : (($true = (sF0 @ X1)) | ((X1 @ X2) = $false)) )),
% 2.60/0.69 inference(pi_clausification,[],[f53])).
% 2.60/0.69 thf(f53,plain,(
% 2.60/0.69 ( ! [X1 : (($i > $i > $o) > $i) > $o] : (((?? @ (($i > $i > $o) > $i) @ X1) = $false) | ($true = (sF0 @ X1))) )),
% 2.60/0.69 inference(binary_proxy_clausification,[],[f45])).
% 2.60/0.69 thf(f45,plain,(
% 2.60/0.69 ( ! [X1 : (($i > $i > $o) > $i) > $o] : (((?? @ (($i > $i > $o) > $i) @ X1) = (sF0 @ X1))) )),
% 2.60/0.69 inference(argument_congruence,[],[f7])).
% 2.60/0.69 thf(f7,plain,(
% 2.60/0.69 (?? @ (($i > $i > $o) > $i) = sF0)),
% 2.60/0.69 introduced(function_definition,[])).
% 2.60/0.69 thf(f112,plain,(
% 2.60/0.69 ( ! [X1 : ($i > $i > $o) > $i] : (((sF0 @ (^[Y0 : ($i > $i > $o) > $i]: (sF1 @ (^[Y1 : $i > $i > $o]: ((sF2 @ (^[Y2 : $i]: (sF2 @ (Y1 @ Y2)))) => (Y1 @ (Y0 @ Y1) @ (X1 @ Y1))))))) = $false)) ) | ~spl6_1),
% 2.60/0.69 inference(backward_demodulation,[],[f47,f109])).
% 2.60/0.69 thf(f109,plain,(
% 2.60/0.69 ( ! [X0 : ($i > $i > $o) > $i] : (((sF3 @ X0) = $false)) ) | ~spl6_1),
% 2.60/0.69 inference(trivial_inequality_removal,[],[f104])).
% 2.60/0.69 thf(f104,plain,(
% 2.60/0.69 ( ! [X0 : ($i > $i > $o) > $i] : (((sF3 @ X0) = $false) | ($true = $false)) ) | ~spl6_1),
% 2.60/0.69 inference(superposition,[],[f43,f95])).
% 2.60/0.69 thf(f43,plain,(
% 2.60/0.69 ((sF0 @ sF3) = $false) | ~spl6_1),
% 2.60/0.69 inference(forward_demodulation,[],[f11,f22])).
% 2.60/0.69 thf(f22,plain,(
% 2.60/0.69 (sF4 = $false) | ~spl6_1),
% 2.60/0.69 inference(avatar_component_clause,[],[f20])).
% 2.60/0.69 thf(f20,plain,(
% 2.60/0.69 spl6_1 <=> (sF4 = $false)),
% 2.60/0.69 introduced(avatar_definition,[new_symbols(naming,[spl6_1])])).
% 2.60/0.69 thf(f11,plain,(
% 2.60/0.69 ((sF0 @ sF3) = sF4)),
% 2.60/0.69 introduced(function_definition,[])).
% 2.60/0.69 thf(f47,plain,(
% 2.60/0.69 ( ! [X1 : ($i > $i > $o) > $i] : (((sF3 @ X1) = (sF0 @ (^[Y0 : ($i > $i > $o) > $i]: (sF1 @ (^[Y1 : $i > $i > $o]: ((sF2 @ (^[Y2 : $i]: (sF2 @ (Y1 @ Y2)))) => (Y1 @ (Y0 @ Y1) @ (X1 @ Y1))))))))) )),
% 2.60/0.69 inference(beta_eta_normalization,[],[f46])).
% 2.60/0.69 thf(f46,plain,(
% 2.60/0.69 ( ! [X1 : ($i > $i > $o) > $i] : (((sF3 @ X1) = ((^[Y0 : ($i > $i > $o) > $i]: (sF0 @ (^[Y1 : ($i > $i > $o) > $i]: (sF1 @ (^[Y2 : $i > $i > $o]: ((sF2 @ (^[Y3 : $i]: (sF2 @ (Y2 @ Y3)))) => (Y2 @ (Y1 @ Y2) @ (Y0 @ Y2)))))))) @ X1))) )),
% 2.60/0.69 inference(argument_congruence,[],[f14])).
% 2.60/0.69 thf(f14,plain,(
% 2.60/0.69 ((^[Y0 : ($i > $i > $o) > $i]: (sF0 @ (^[Y1 : ($i > $i > $o) > $i]: (sF1 @ (^[Y2 : $i > $i > $o]: ((sF2 @ (^[Y3 : $i]: (sF2 @ (Y2 @ Y3)))) => (Y2 @ (Y1 @ Y2) @ (Y0 @ Y2)))))))) = sF3)),
% 2.60/0.69 inference(beta_eta_normalization,[],[f10])).
% 2.60/0.69 thf(f10,plain,(
% 2.60/0.69 (sF3 = (^[Y0 : ($i > $i > $o) > $i]: (sF0 @ (^[Y1 : ($i > $i > $o) > $i]: (sF1 @ (^[Y2 : $i > $i > $o]: ((sF2 @ (^[Y3 : $i]: (sF2 @ (^[Y4 : $i]: (Y2 @ Y3 @ Y4))))) => (Y2 @ (Y1 @ Y2) @ (Y0 @ Y2)))))))))),
% 2.60/0.69 introduced(function_definition,[])).
% 2.60/0.69 thf(f175,plain,(
% 2.60/0.69 ( ! [X0 : ($i > $i > $o) > $i,X1 : ($i > $i > $o) > $i] : (($true = (sK9 @ (^[Y0 : $i > $i > $o]: ((sF2 @ (^[Y1 : $i]: (sF2 @ (Y0 @ Y1)))) => (Y0 @ (X0 @ Y0) @ (X1 @ Y0)))) @ (sK8 @ (^[Y0 : $i]: (sF2 @ (sK9 @ (^[Y1 : $i > $i > $o]: ((sF2 @ (^[Y2 : $i]: (sF2 @ (Y1 @ Y2)))) => (Y1 @ (X0 @ Y1) @ (X1 @ Y1)))) @ Y0)))) @ (sK8 @ (sK9 @ (^[Y0 : $i > $i > $o]: ((sF2 @ (^[Y1 : $i]: (sF2 @ (Y0 @ Y1)))) => (Y0 @ (X0 @ Y0) @ (X1 @ Y0)))) @ (sK8 @ (^[Y0 : $i]: (sF2 @ (sK9 @ (^[Y1 : $i > $i > $o]: ((sF2 @ (^[Y2 : $i]: (sF2 @ (Y1 @ Y2)))) => (Y1 @ (X0 @ Y1) @ (X1 @ Y1)))) @ Y0))))))))) ) | ~spl6_1),
% 2.60/0.69 inference(trivial_inequality_removal,[],[f174])).
% 2.60/0.69 thf(f174,plain,(
% 2.60/0.69 ( ! [X0 : ($i > $i > $o) > $i,X1 : ($i > $i > $o) > $i] : (($true = (sK9 @ (^[Y0 : $i > $i > $o]: ((sF2 @ (^[Y1 : $i]: (sF2 @ (Y0 @ Y1)))) => (Y0 @ (X0 @ Y0) @ (X1 @ Y0)))) @ (sK8 @ (^[Y0 : $i]: (sF2 @ (sK9 @ (^[Y1 : $i > $i > $o]: ((sF2 @ (^[Y2 : $i]: (sF2 @ (Y1 @ Y2)))) => (Y1 @ (X0 @ Y1) @ (X1 @ Y1)))) @ Y0)))) @ (sK8 @ (sK9 @ (^[Y0 : $i > $i > $o]: ((sF2 @ (^[Y1 : $i]: (sF2 @ (Y0 @ Y1)))) => (Y0 @ (X0 @ Y0) @ (X1 @ Y0)))) @ (sK8 @ (^[Y0 : $i]: (sF2 @ (sK9 @ (^[Y1 : $i > $i > $o]: ((sF2 @ (^[Y2 : $i]: (sF2 @ (Y1 @ Y2)))) => (Y1 @ (X0 @ Y1) @ (X1 @ Y1)))) @ Y0)))))))) | ($true = $false)) ) | ~spl6_1),
% 2.60/0.69 inference(superposition,[],[f58,f164])).
% 2.60/0.69 thf(f164,plain,(
% 2.60/0.69 ( ! [X0 : ($i > $i > $o) > $i,X1 : ($i > $i > $o) > $i] : (((sF2 @ (sK9 @ (^[Y0 : $i > $i > $o]: ((sF2 @ (^[Y1 : $i]: (sF2 @ (Y0 @ Y1)))) => (Y0 @ (X0 @ Y0) @ (X1 @ Y0)))) @ (sK8 @ (^[Y0 : $i]: (sF2 @ (sK9 @ (^[Y1 : $i > $i > $o]: ((sF2 @ (^[Y2 : $i]: (sF2 @ (Y1 @ Y2)))) => (Y1 @ (X0 @ Y1) @ (X1 @ Y1)))) @ Y0)))))) = $true)) ) | ~spl6_1),
% 2.60/0.69 inference(beta_eta_normalization,[],[f163])).
% 2.60/0.69 thf(f163,plain,(
% 2.60/0.69 ( ! [X0 : ($i > $i > $o) > $i,X1 : ($i > $i > $o) > $i] : (($true = ((^[Y0 : $i]: (sF2 @ (sK9 @ (^[Y1 : $i > $i > $o]: ((sF2 @ (^[Y2 : $i]: (sF2 @ (Y1 @ Y2)))) => (Y1 @ (X0 @ Y1) @ (X1 @ Y1)))) @ Y0))) @ (sK8 @ (^[Y0 : $i]: (sF2 @ (sK9 @ (^[Y1 : $i > $i > $o]: ((sF2 @ (^[Y2 : $i]: (sF2 @ (Y1 @ Y2)))) => (Y1 @ (X0 @ Y1) @ (X1 @ Y1)))) @ Y0))))))) ) | ~spl6_1),
% 2.60/0.69 inference(trivial_inequality_removal,[],[f161])).
% 2.60/0.69 thf(f161,plain,(
% 2.60/0.69 ( ! [X0 : ($i > $i > $o) > $i,X1 : ($i > $i > $o) > $i] : (($true = ((^[Y0 : $i]: (sF2 @ (sK9 @ (^[Y1 : $i > $i > $o]: ((sF2 @ (^[Y2 : $i]: (sF2 @ (Y1 @ Y2)))) => (Y1 @ (X0 @ Y1) @ (X1 @ Y1)))) @ Y0))) @ (sK8 @ (^[Y0 : $i]: (sF2 @ (sK9 @ (^[Y1 : $i > $i > $o]: ((sF2 @ (^[Y2 : $i]: (sF2 @ (Y1 @ Y2)))) => (Y1 @ (X0 @ Y1) @ (X1 @ Y1)))) @ Y0)))))) | ($true = $false)) ) | ~spl6_1),
% 2.60/0.69 inference(superposition,[],[f139,f58])).
% 2.60/0.69 thf(f139,plain,(
% 2.60/0.69 ( ! [X0 : ($i > $i > $o) > $i,X1 : ($i > $i > $o) > $i] : (($true = (sF2 @ (^[Y0 : $i]: (sF2 @ (sK9 @ (^[Y1 : $i > $i > $o]: ((sF2 @ (^[Y2 : $i]: (sF2 @ (Y1 @ Y2)))) => (Y1 @ (X0 @ Y1) @ (X1 @ Y1)))) @ Y0)))))) ) | ~spl6_1),
% 2.60/0.69 inference(trivial_inequality_removal,[],[f138])).
% 2.60/0.69 thf(f138,plain,(
% 2.60/0.69 ( ! [X0 : ($i > $i > $o) > $i,X1 : ($i > $i > $o) > $i] : (($true = (sF2 @ (^[Y0 : $i]: (sF2 @ (sK9 @ (^[Y1 : $i > $i > $o]: ((sF2 @ (^[Y2 : $i]: (sF2 @ (Y1 @ Y2)))) => (Y1 @ (X0 @ Y1) @ (X1 @ Y1)))) @ Y0))))) | ($true = $false)) ) | ~spl6_1),
% 2.60/0.69 inference(boolean_simplification,[],[f127])).
% 2.60/0.69 thf(f127,plain,(
% 2.60/0.69 ( ! [X0 : ($i > $i > $o) > $i,X1 : ($i > $i > $o) > $i] : (($true = (sF2 @ (^[Y0 : $i]: (sF2 @ (sK9 @ (^[Y1 : $i > $i > $o]: ((sF2 @ (^[Y2 : $i]: (sF2 @ (Y1 @ Y2)))) => (Y1 @ (X0 @ Y1) @ (X1 @ Y1)))) @ Y0))))) | (($false => (sK9 @ (^[Y0 : $i > $i > $o]: ((sF2 @ (^[Y1 : $i]: (sF2 @ (Y0 @ Y1)))) => (Y0 @ (X0 @ Y0) @ (X1 @ Y0)))) @ (X0 @ (sK9 @ (^[Y0 : $i > $i > $o]: ((sF2 @ (^[Y1 : $i]: (sF2 @ (Y0 @ Y1)))) => (Y0 @ (X0 @ Y0) @ (X1 @ Y0)))))) @ (X1 @ (sK9 @ (^[Y0 : $i > $i > $o]: ((sF2 @ (^[Y1 : $i]: (sF2 @ (Y0 @ Y1)))) => (Y0 @ (X0 @ Y0) @ (X1 @ Y0)))))))) = $false)) ) | ~spl6_1),
% 2.60/0.69 inference(cases_simplifying,[],[f125])).
% 2.60/0.69 thf(f58,plain,(
% 2.60/0.69 ( ! [X1 : $i > $o] : (($false = (sF2 @ X1)) | ((X1 @ (sK8 @ X1)) = $true)) )),
% 2.60/0.69 inference(sigma_clausification,[],[f48])).
% 2.60/0.69 thf(f48,plain,(
% 2.60/0.69 ( ! [X1 : $i > $o] : (($true = (?? @ $i @ X1)) | ($false = (sF2 @ X1))) )),
% 2.60/0.69 inference(binary_proxy_clausification,[],[f42])).
% 2.60/0.69 thf(f42,plain,(
% 2.60/0.69 ( ! [X1 : $i > $o] : (((?? @ $i @ X1) = (sF2 @ X1))) )),
% 2.60/0.69 inference(argument_congruence,[],[f9])).
% 2.60/0.69 thf(f9,plain,(
% 2.60/0.69 (?? @ $i = sF2)),
% 2.60/0.69 introduced(function_definition,[])).
% 2.60/0.69 thf(f40,plain,(
% 2.60/0.69 ~spl6_2 | ~spl6_4),
% 2.60/0.69 inference(avatar_contradiction_clause,[],[f39])).
% 2.60/0.69 thf(f39,plain,(
% 2.60/0.69 $false | (~spl6_2 | ~spl6_4)),
% 2.60/0.69 inference(trivial_inequality_removal,[],[f38])).
% 2.60/0.69 thf(f38,plain,(
% 2.60/0.69 ($true = $false) | (~spl6_2 | ~spl6_4)),
% 2.60/0.69 inference(forward_demodulation,[],[f35,f26])).
% 2.60/0.69 thf(f26,plain,(
% 2.60/0.69 (sF5 = $false) | ~spl6_2),
% 2.60/0.69 inference(avatar_component_clause,[],[f24])).
% 2.60/0.69 thf(f24,plain,(
% 2.60/0.69 spl6_2 <=> (sF5 = $false)),
% 2.60/0.69 introduced(avatar_definition,[new_symbols(naming,[spl6_2])])).
% 2.60/0.69 thf(f35,plain,(
% 2.60/0.69 (sF5 = $true) | ~spl6_4),
% 2.60/0.69 inference(avatar_component_clause,[],[f33])).
% 2.60/0.69 thf(f33,plain,(
% 2.60/0.69 spl6_4 <=> (sF5 = $true)),
% 2.60/0.69 introduced(avatar_definition,[new_symbols(naming,[spl6_4])])).
% 2.60/0.69 thf(f37,plain,(
% 2.60/0.69 spl6_4),
% 2.60/0.69 inference(avatar_split_clause,[],[f13,f33])).
% 2.60/0.69 thf(f13,plain,(
% 2.60/0.69 (sF5 = $true)),
% 2.60/0.69 inference(definition_folding,[],[f6,f12,f11,f10,f9,f9,f8,f7,f7])).
% 2.60/0.69 thf(f12,plain,(
% 2.60/0.69 ((~ sF4) = sF5)),
% 2.60/0.69 introduced(function_definition,[])).
% 2.60/0.69 thf(f6,plain,(
% 2.60/0.69 ($true = (~ (?? @ (($i > $i > $o) > $i) @ (^[Y0 : ($i > $i > $o) > $i]: (?? @ (($i > $i > $o) > $i) @ (^[Y1 : ($i > $i > $o) > $i]: (!! @ ($i > $i > $o) @ (^[Y2 : $i > $i > $o]: ((?? @ $i @ (^[Y3 : $i]: (?? @ $i @ (^[Y4 : $i]: (Y2 @ Y3 @ Y4))))) => (Y2 @ (Y1 @ Y2) @ (Y0 @ Y2)))))))))))),
% 2.60/0.69 inference(cnf_transformation,[],[f5])).
% 2.60/0.69 thf(f5,plain,(
% 2.60/0.69 ($true = (~ (?? @ (($i > $i > $o) > $i) @ (^[Y0 : ($i > $i > $o) > $i]: (?? @ (($i > $i > $o) > $i) @ (^[Y1 : ($i > $i > $o) > $i]: (!! @ ($i > $i > $o) @ (^[Y2 : $i > $i > $o]: ((?? @ $i @ (^[Y3 : $i]: (?? @ $i @ (^[Y4 : $i]: (Y2 @ Y3 @ Y4))))) => (Y2 @ (Y1 @ Y2) @ (Y0 @ Y2)))))))))))),
% 2.60/0.69 inference(fool_elimination,[],[f4])).
% 2.60/0.69 thf(f4,plain,(
% 2.60/0.69 ~? [X0 : ($i > $i > $o) > $i,X1 : ($i > $i > $o) > $i] : ! [X2 : $i > $i > $o] : (? [X3,X4] : (X2 @ X4 @ X3) => (X2 @ (X0 @ X2) @ (X1 @ X2)))),
% 2.60/0.69 inference(rectify,[],[f2])).
% 2.60/0.69 thf(f2,negated_conjecture,(
% 2.60/0.69 ~? [X0 : ($i > $i > $o) > $i,X1 : ($i > $i > $o) > $i] : ! [X2 : $i > $i > $o] : (? [X4,X3] : (X2 @ X3 @ X4) => (X2 @ (X0 @ X2) @ (X1 @ X2)))),
% 2.60/0.69 inference(negated_conjecture,[],[f1])).
% 2.60/0.69 thf(f1,conjecture,(
% 2.60/0.69 ? [X0 : ($i > $i > $o) > $i,X1 : ($i > $i > $o) > $i] : ! [X2 : $i > $i > $o] : (? [X4,X3] : (X2 @ X3 @ X4) => (X2 @ (X0 @ X2) @ (X1 @ X2)))),
% 2.60/0.69 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj)).
% 2.60/0.69 thf(f27,plain,(
% 2.60/0.69 spl6_1 | spl6_2),
% 2.60/0.69 inference(avatar_split_clause,[],[f18,f24,f20])).
% 2.60/0.69 thf(f18,plain,(
% 2.60/0.69 (sF5 = $false) | (sF4 = $false)),
% 2.60/0.69 inference(boolean_simplification,[],[f15])).
% 2.60/0.69 thf(f15,plain,(
% 2.60/0.69 (sF5 = (~ $true)) | (sF4 = $false)),
% 2.60/0.69 inference(cases_simplifying,[],[f12])).
% 2.60/0.69 % SZS output end Proof for theBenchmark
% 2.60/0.69 % (20705)------------------------------
% 2.60/0.69 % (20705)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.60/0.69 % (20705)Termination reason: Refutation
% 2.60/0.69
% 2.60/0.69 % (20705)Memory used [KB]: 7036
% 2.60/0.69 % (20705)Time elapsed: 0.067 s
% 2.60/0.69 % (20705)Instructions burned: 150 (million)
% 2.60/0.69 % (20705)------------------------------
% 2.60/0.69 % (20705)------------------------------
% 2.60/0.69 % (20630)Success in time 0.33 s
% 2.60/0.69 % Vampire---4.8 exiting
%------------------------------------------------------------------------------