TSTP Solution File: SEV524^1 by Vampire---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SEV524^1 : TPTP v8.1.2. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% Computer : n009.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 : Sun May 5 09:43:31 EDT 2024
% Result : Theorem 184.35s 23.67s
% Output : Refutation 184.35s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : SEV524^1 : TPTP v8.1.2. Released v7.5.0.
% 0.12/0.15 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.15/0.37 % Computer : n009.cluster.edu
% 0.15/0.37 % Model : x86_64 x86_64
% 0.15/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.37 % Memory : 8042.1875MB
% 0.15/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.37 % CPULimit : 300
% 0.15/0.37 % WCLimit : 300
% 0.15/0.37 % DateTime : Fri May 3 11:46:25 EDT 2024
% 0.15/0.37 % CPUTime :
% 0.15/0.37 This is a TH0_THM_EQU_NAR problem
% 0.15/0.37 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/sandbox/tmp/tmp.ZDz2q55HQ7/Vampire---4.8_14877
% 0.15/0.40 % (15126)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on Vampire---4 for (2999ds/183Mi)
% 0.15/0.40 % (15127)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 Vampire---4 for (2999ds/4Mi)
% 0.15/0.40 % (15128)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 Vampire---4 for (2999ds/27Mi)
% 0.15/0.40 % (15129)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on Vampire---4 for (2999ds/2Mi)
% 0.15/0.40 % (15130)lrs+1002_1:128_aac=none:au=on:cnfonf=lazy_not_gen_be_off:sos=all:i=2:si=on:rtra=on_0 on Vampire---4 for (2999ds/2Mi)
% 0.15/0.40 % (15131)lrs+1002_1:1_au=on:bd=off:e2e=on:sd=2:sos=on:ss=axioms:i=275:si=on:rtra=on_0 on Vampire---4 for (2999ds/275Mi)
% 0.15/0.40 % (15132)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on Vampire---4 for (2999ds/18Mi)
% 0.15/0.40 % (15133)lrs+10_1:1_bet=on:cnfonf=off:fd=off:hud=5:inj=on:i=3:si=on:rtra=on_0 on Vampire---4 for (2999ds/3Mi)
% 0.15/0.40 % (15129)Instruction limit reached!
% 0.15/0.40 % (15129)------------------------------
% 0.15/0.40 % (15129)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.40 % (15129)Termination reason: Unknown
% 0.15/0.40 % (15129)Termination phase: shuffling
% 0.15/0.40 % (15130)Instruction limit reached!
% 0.15/0.40 % (15130)------------------------------
% 0.15/0.40 % (15130)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.40 % (15130)Termination reason: Unknown
% 0.15/0.40 % (15130)Termination phase: shuffling
% 0.15/0.40
% 0.15/0.40 % (15130)Memory used [KB]: 1279
% 0.15/0.40 % (15130)Time elapsed: 0.004 s
% 0.15/0.40 % (15130)Instructions burned: 3 (million)
% 0.15/0.40 % (15130)------------------------------
% 0.15/0.40 % (15130)------------------------------
% 0.15/0.40
% 0.15/0.40 % (15129)Memory used [KB]: 1279
% 0.15/0.40 % (15129)Time elapsed: 0.004 s
% 0.15/0.40 % (15129)Instructions burned: 3 (million)
% 0.15/0.40 % (15129)------------------------------
% 0.15/0.40 % (15129)------------------------------
% 0.15/0.40 % (15133)Instruction limit reached!
% 0.15/0.40 % (15133)------------------------------
% 0.15/0.40 % (15133)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.40 % (15133)Termination reason: Unknown
% 0.15/0.40 % (15133)Termination phase: shuffling
% 0.15/0.40
% 0.15/0.40 % (15133)Memory used [KB]: 1279
% 0.15/0.40 % (15133)Time elapsed: 0.004 s
% 0.15/0.40 % (15133)Instructions burned: 3 (million)
% 0.15/0.40 % (15133)------------------------------
% 0.15/0.40 % (15133)------------------------------
% 0.15/0.40 % (15127)Instruction limit reached!
% 0.15/0.40 % (15127)------------------------------
% 0.15/0.40 % (15127)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.40 % (15127)Termination reason: Unknown
% 0.15/0.40 % (15127)Termination phase: shuffling
% 0.15/0.40
% 0.15/0.40 % (15127)Memory used [KB]: 1279
% 0.15/0.40 % (15127)Time elapsed: 0.005 s
% 0.15/0.40 % (15127)Instructions burned: 4 (million)
% 0.15/0.40 % (15127)------------------------------
% 0.15/0.40 % (15127)------------------------------
% 0.15/0.41 % (15132)Instruction limit reached!
% 0.15/0.41 % (15132)------------------------------
% 0.15/0.41 % (15132)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.41 % (15132)Termination reason: Unknown
% 0.15/0.41 % (15132)Termination phase: shuffling
% 0.15/0.41
% 0.15/0.41 % (15132)Memory used [KB]: 1535
% 0.15/0.41 % (15132)Time elapsed: 0.012 s
% 0.15/0.41 % (15132)Instructions burned: 18 (million)
% 0.15/0.41 % (15132)------------------------------
% 0.15/0.41 % (15132)------------------------------
% 0.15/0.41 % (15128)Instruction limit reached!
% 0.15/0.41 % (15128)------------------------------
% 0.15/0.41 % (15128)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.41 % (15128)Termination reason: Unknown
% 0.15/0.41 % (15128)Termination phase: Property scanning
% 0.15/0.41
% 0.15/0.41 % (15128)Memory used [KB]: 1535
% 0.15/0.41 % (15128)Time elapsed: 0.016 s
% 0.15/0.41 % (15128)Instructions burned: 27 (million)
% 0.15/0.41 % (15128)------------------------------
% 0.15/0.41 % (15128)------------------------------
% 0.15/0.42 % (15134)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 Vampire---4 for (2999ds/37Mi)
% 0.15/0.42 % (15135)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 Vampire---4 for (2999ds/15Mi)
% 0.15/0.42 % (15136)dis+21_1:1_cbe=off:cnfonf=off:fs=off:fsr=off:hud=1:inj=on:i=3:si=on:rtra=on_0 on Vampire---4 for (2999ds/3Mi)
% 0.15/0.42 % (15137)lrs+1002_1:1_aac=none:au=on:cnfonf=lazy_gen:plsq=on:plsqc=1:plsqr=4203469,65536:i=1041:si=on:rtra=on_0 on Vampire---4 for (2999ds/1041Mi)
% 0.15/0.42 % (15136)Instruction limit reached!
% 0.15/0.42 % (15136)------------------------------
% 0.15/0.42 % (15136)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.42 % (15136)Termination reason: Unknown
% 0.15/0.42 % (15136)Termination phase: shuffling
% 0.15/0.42
% 0.15/0.42 % (15136)Memory used [KB]: 1279
% 0.15/0.42 % (15136)Time elapsed: 0.004 s
% 0.15/0.42 % (15136)Instructions burned: 3 (million)
% 0.15/0.42 % (15136)------------------------------
% 0.15/0.42 % (15136)------------------------------
% 0.15/0.42 % (15135)Instruction limit reached!
% 0.15/0.42 % (15135)------------------------------
% 0.15/0.42 % (15135)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.42 % (15135)Termination reason: Unknown
% 0.15/0.42 % (15135)Termination phase: shuffling
% 0.15/0.42
% 0.15/0.42 % (15135)Memory used [KB]: 1535
% 0.15/0.42 % (15135)Time elapsed: 0.010 s
% 0.15/0.42 % (15135)Instructions burned: 15 (million)
% 0.15/0.42 % (15135)------------------------------
% 0.15/0.42 % (15135)------------------------------
% 0.15/0.43 % (15138)lrs+10_1:1_av=off:chr=on:plsq=on:slsq=on:i=7:si=on:rtra=on_0 on Vampire---4 for (2999ds/7Mi)
% 0.15/0.43 % (15139)lrs+10_1:1_acc=on:amm=sco:cs=on:tgt=full:i=16:si=on:rtra=on_0 on Vampire---4 for (2999ds/16Mi)
% 0.15/0.43 % (15138)Instruction limit reached!
% 0.15/0.43 % (15138)------------------------------
% 0.15/0.43 % (15138)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.43 % (15138)Termination reason: Unknown
% 0.15/0.43 % (15138)Termination phase: shuffling
% 0.15/0.43
% 0.15/0.43 % (15138)Memory used [KB]: 1279
% 0.15/0.43 % (15138)Time elapsed: 0.006 s
% 0.15/0.43 % (15138)Instructions burned: 8 (million)
% 0.15/0.43 % (15138)------------------------------
% 0.15/0.43 % (15138)------------------------------
% 0.23/0.43 % (15140)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 Vampire---4 for (2999ds/3Mi)
% 0.23/0.43 % (15134)Instruction limit reached!
% 0.23/0.43 % (15134)------------------------------
% 0.23/0.43 % (15134)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.23/0.43 % (15134)Termination reason: Unknown
% 0.23/0.43 % (15134)Termination phase: Property scanning
% 0.23/0.43
% 0.23/0.43 % (15134)Memory used [KB]: 1535
% 0.23/0.43 % (15134)Time elapsed: 0.020 s
% 0.23/0.43 % (15134)Instructions burned: 37 (million)
% 0.23/0.43 % (15134)------------------------------
% 0.23/0.43 % (15134)------------------------------
% 0.23/0.44 % (15140)Instruction limit reached!
% 0.23/0.44 % (15140)------------------------------
% 0.23/0.44 % (15140)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.23/0.44 % (15140)Termination reason: Unknown
% 0.23/0.44 % (15140)Termination phase: shuffling
% 0.23/0.44
% 0.23/0.44 % (15140)Memory used [KB]: 1279
% 0.23/0.44 % (15140)Time elapsed: 0.004 s
% 0.23/0.44 % (15140)Instructions burned: 3 (million)
% 0.23/0.44 % (15140)------------------------------
% 0.23/0.44 % (15140)------------------------------
% 0.23/0.44 % (15139)Instruction limit reached!
% 0.23/0.44 % (15139)------------------------------
% 0.23/0.44 % (15139)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.23/0.44 % (15139)Termination reason: Unknown
% 0.23/0.44 % (15139)Termination phase: shuffling
% 0.23/0.44
% 0.23/0.44 % (15139)Memory used [KB]: 1535
% 0.23/0.44 % (15139)Time elapsed: 0.011 s
% 0.23/0.44 % (15139)Instructions burned: 17 (million)
% 0.23/0.44 % (15139)------------------------------
% 0.23/0.44 % (15139)------------------------------
% 0.23/0.44 % (15141)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 Vampire---4 for (2999ds/3Mi)
% 0.23/0.44 % (15141)Instruction limit reached!
% 0.23/0.44 % (15141)------------------------------
% 0.23/0.44 % (15141)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.23/0.44 % (15141)Termination reason: Unknown
% 0.23/0.44 % (15141)Termination phase: shuffling
% 0.23/0.44
% 0.23/0.44 % (15141)Memory used [KB]: 1279
% 0.23/0.44 % (15141)Time elapsed: 0.004 s
% 0.23/0.44 % (15141)Instructions burned: 3 (million)
% 0.23/0.44 % (15141)------------------------------
% 0.23/0.44 % (15141)------------------------------
% 0.23/0.44 % (15142)lrs+10_1:1_cnfonf=off:cs=on:hud=3:prag=on:sup=off:i=7:si=on:rtra=on_0 on Vampire---4 for (2999ds/7Mi)
% 0.23/0.45 % (15142)Instruction limit reached!
% 0.23/0.45 % (15142)------------------------------
% 0.23/0.45 % (15142)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.23/0.45 % (15142)Termination reason: Unknown
% 0.23/0.45 % (15142)Termination phase: shuffling
% 0.23/0.45
% 0.23/0.45 % (15142)Memory used [KB]: 1279
% 0.23/0.45 % (15142)Time elapsed: 0.006 s
% 0.23/0.45 % (15142)Instructions burned: 7 (million)
% 0.23/0.45 % (15142)------------------------------
% 0.23/0.45 % (15142)------------------------------
% 0.23/0.45 % (15143)dis+1002_1:1_add=large:cnfonf=lazy_pi_sigma_gen:fe=off:prag=on:i=3:si=on:rtra=on_0 on Vampire---4 for (2999ds/3Mi)
% 0.23/0.45 % (15144)dis+1004_1:1_cha=on:cs=on:fe=off:hud=1:i=4:si=on:rtra=on_0 on Vampire---4 for (2999ds/4Mi)
% 0.23/0.45 % (15143)Instruction limit reached!
% 0.23/0.45 % (15143)------------------------------
% 0.23/0.45 % (15143)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.23/0.45 % (15143)Termination reason: Unknown
% 0.23/0.45 % (15143)Termination phase: shuffling
% 0.23/0.45
% 0.23/0.45 % (15143)Memory used [KB]: 1279
% 0.23/0.45 % (15143)Time elapsed: 0.004 s
% 0.23/0.45 % (15143)Instructions burned: 4 (million)
% 0.23/0.45 % (15143)------------------------------
% 0.23/0.45 % (15143)------------------------------
% 0.23/0.45 % (15145)lrs+1002_1:1_anc=all_dependent:au=on:cbe=off:fde=unused:ntd=on:i=18:si=on:rtra=on_0 on Vampire---4 for (2999ds/18Mi)
% 0.23/0.45 % (15144)Instruction limit reached!
% 0.23/0.45 % (15144)------------------------------
% 0.23/0.45 % (15144)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.23/0.45 % (15144)Termination reason: Unknown
% 0.23/0.45 % (15144)Termination phase: shuffling
% 0.23/0.45
% 0.23/0.45 % (15144)Memory used [KB]: 1279
% 0.23/0.45 % (15144)Time elapsed: 0.005 s
% 0.23/0.45 % (15144)Instructions burned: 5 (million)
% 0.23/0.45 % (15144)------------------------------
% 0.23/0.45 % (15144)------------------------------
% 0.23/0.46 % (15146)lrs+10_1:1_e2e=on:sd=1:sgt=8:ss=axioms:i=710:si=on:rtra=on_0 on Vampire---4 for (2999ds/710Mi)
% 0.23/0.46 % (15147)lrs+1004_1:1_chr=on:prag=on:i=6:si=on:rtra=on_0 on Vampire---4 for (2999ds/6Mi)
% 0.23/0.46 % (15145)Instruction limit reached!
% 0.23/0.46 % (15145)------------------------------
% 0.23/0.46 % (15145)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.23/0.46 % (15145)Termination reason: Unknown
% 0.23/0.46 % (15145)Termination phase: shuffling
% 0.23/0.46
% 0.23/0.46 % (15145)Memory used [KB]: 1535
% 0.23/0.46 % (15145)Time elapsed: 0.013 s
% 0.23/0.46 % (15145)Instructions burned: 19 (million)
% 0.23/0.46 % (15145)------------------------------
% 0.23/0.46 % (15145)------------------------------
% 0.23/0.47 % (15147)Instruction limit reached!
% 0.23/0.47 % (15147)------------------------------
% 0.23/0.47 % (15147)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.23/0.47 % (15147)Termination reason: Unknown
% 0.23/0.47 % (15147)Termination phase: shuffling
% 0.23/0.47
% 0.23/0.47 % (15147)Memory used [KB]: 1279
% 0.23/0.47 % (15147)Time elapsed: 0.006 s
% 0.23/0.47 % (15147)Instructions burned: 7 (million)
% 0.23/0.47 % (15147)------------------------------
% 0.23/0.47 % (15147)------------------------------
% 0.23/0.47 % (15148)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 Vampire---4 for (2999ds/902Mi)
% 0.23/0.47 % (15149)dis+21_1:8_apa=on:cnfonf=off:fd=off:fsr=off:hud=0:ins=1:kws=inv_frequency:nwc=10.0:ss=axioms:st=5.0:i=21:si=on:rtra=on_0 on Vampire---4 for (2999ds/21Mi)
% 0.23/0.48 % (15126)Instruction limit reached!
% 0.23/0.48 % (15126)------------------------------
% 0.23/0.48 % (15126)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.23/0.48 % (15126)Termination reason: Unknown
% 0.23/0.48 % (15126)Termination phase: Property scanning
% 0.23/0.48
% 0.23/0.48 % (15126)Memory used [KB]: 1918
% 0.23/0.48 % (15126)Time elapsed: 0.078 s
% 0.23/0.48 % (15126)Instructions burned: 183 (million)
% 0.23/0.48 % (15126)------------------------------
% 0.23/0.48 % (15126)------------------------------
% 0.23/0.48 % (15149)Instruction limit reached!
% 0.23/0.48 % (15149)------------------------------
% 0.23/0.48 % (15149)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.23/0.48 % (15149)Termination reason: Unknown
% 0.23/0.48 % (15153)dis+10_1:1_cnfonf=lazy_gen:fe=off:i=5:si=on:rtra=on_0 on Vampire---4 for (2999ds/5Mi)
% 0.23/0.48 % (15149)Termination phase: Property scanning
% 0.23/0.48
% 0.23/0.48 % (15149)Memory used [KB]: 1535
% 0.23/0.48 % (15149)Time elapsed: 0.013 s
% 0.23/0.48 % (15149)Instructions burned: 21 (million)
% 0.23/0.48 % (15149)------------------------------
% 0.23/0.48 % (15149)------------------------------
% 0.23/0.48 % (15155)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 Vampire---4 for (2999ds/6Mi)
% 0.23/0.48 % (15153)Instruction limit reached!
% 0.23/0.48 % (15153)------------------------------
% 0.23/0.48 % (15153)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.23/0.48 % (15153)Termination reason: Unknown
% 0.23/0.48 % (15153)Termination phase: shuffling
% 0.23/0.48
% 0.23/0.48 % (15153)Memory used [KB]: 1279
% 0.23/0.48 % (15153)Time elapsed: 0.005 s
% 0.23/0.48 % (15153)Instructions burned: 5 (million)
% 0.23/0.48 % (15153)------------------------------
% 0.23/0.48 % (15153)------------------------------
% 0.23/0.48 % (15155)Instruction limit reached!
% 0.23/0.48 % (15155)------------------------------
% 0.23/0.48 % (15155)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.23/0.49 % (15155)Termination reason: Unknown
% 0.23/0.49 % (15155)Termination phase: shuffling
% 0.23/0.49
% 0.23/0.49 % (15155)Memory used [KB]: 1279
% 0.23/0.49 % (15155)Time elapsed: 0.006 s
% 0.23/0.49 % (15155)Instructions burned: 7 (million)
% 0.23/0.49 % (15155)------------------------------
% 0.23/0.49 % (15155)------------------------------
% 0.23/0.49 % (15158)lrs+1002_1:128_au=on:c=on:fsr=off:piset=equals:i=377:si=on:rtra=on_0 on Vampire---4 for (2998ds/377Mi)
% 0.23/0.50 % (15160)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 Vampire---4 for (2998ds/779Mi)
% 0.23/0.50 % (15161)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 Vampire---4 for (2998ds/19Mi)
% 0.23/0.50 % (15162)lrs+1010_1:1_au=on:s2a=on:sd=1:sgt=50:ss=axioms:i=879:si=on:rtra=on_0 on Vampire---4 for (2998ds/879Mi)
% 0.23/0.50 % (15148)Refutation not found, incomplete strategy
% 0.23/0.50 % (15148)------------------------------
% 0.23/0.50 % (15148)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.23/0.50 % (15148)Termination reason: Refutation not found, incomplete strategy
% 0.23/0.50
% 0.23/0.50
% 0.23/0.50 % (15148)Memory used [KB]: 6268
% 0.23/0.50 % (15148)Time elapsed: 0.038 s
% 0.23/0.50 % (15148)Instructions burned: 69 (million)
% 0.23/0.50 % (15148)------------------------------
% 0.23/0.50 % (15148)------------------------------
% 0.23/0.51 % (15161)Instruction limit reached!
% 0.23/0.51 % (15161)------------------------------
% 0.23/0.51 % (15161)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.23/0.51 % (15161)Termination reason: Unknown
% 0.23/0.51 % (15161)Termination phase: Property scanning
% 0.23/0.51
% 0.23/0.51 % (15161)Memory used [KB]: 1535
% 0.23/0.51 % (15161)Time elapsed: 0.011 s
% 0.23/0.51 % (15161)Instructions burned: 21 (million)
% 0.23/0.51 % (15161)------------------------------
% 0.23/0.51 % (15161)------------------------------
% 0.23/0.52 % (15170)dis+1002_1:128_acc=on:er=filter:i=17:si=on:rtra=on_0 on Vampire---4 for (2998ds/17Mi)
% 0.23/0.52 % (15173)ott+21_1:1_apa=on:au=on:cnfonf=off:sos=on:i=3:si=on:rtra=on_0 on Vampire---4 for (2998ds/3Mi)
% 0.23/0.52 % (15173)Instruction limit reached!
% 0.23/0.52 % (15173)------------------------------
% 0.23/0.52 % (15173)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.23/0.52 % (15173)Termination reason: Unknown
% 0.23/0.52 % (15173)Termination phase: shuffling
% 0.23/0.52
% 0.23/0.52 % (15173)Memory used [KB]: 1279
% 0.23/0.52 % (15173)Time elapsed: 0.003 s
% 0.23/0.52 % (15173)Instructions burned: 4 (million)
% 0.23/0.52 % (15173)------------------------------
% 0.23/0.52 % (15173)------------------------------
% 0.23/0.52 % (15131)Instruction limit reached!
% 0.23/0.52 % (15131)------------------------------
% 0.23/0.52 % (15131)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.23/0.52 % (15131)Termination reason: Unknown
% 0.23/0.52 % (15131)Termination phase: Saturation
% 0.23/0.52
% 0.23/0.52 % (15131)Memory used [KB]: 6524
% 0.23/0.52 % (15131)Time elapsed: 0.123 s
% 0.23/0.52 % (15131)Instructions burned: 275 (million)
% 0.23/0.52 % (15131)------------------------------
% 0.23/0.52 % (15131)------------------------------
% 0.23/0.52 % (15170)Instruction limit reached!
% 0.23/0.52 % (15170)------------------------------
% 0.23/0.52 % (15170)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.23/0.52 % (15170)Termination reason: Unknown
% 0.23/0.52 % (15170)Termination phase: shuffling
% 0.23/0.52
% 0.23/0.52 % (15170)Memory used [KB]: 1535
% 0.23/0.52 % (15170)Time elapsed: 0.007 s
% 0.23/0.52 % (15170)Instructions burned: 18 (million)
% 0.23/0.52 % (15170)------------------------------
% 0.23/0.52 % (15170)------------------------------
% 0.23/0.53 % (15184)lrs+1010_1:8_cnfonf=off:hud=1:inj=on:tnu=5:i=30:si=on:rtra=on_0 on Vampire---4 for (2998ds/30Mi)
% 0.23/0.53 % (15186)dis+10_1:1_ixr=off:plsq=on:plsqc=1:plsqr=32,1:s2a=on:i=127:si=on:rtra=on_0 on Vampire---4 for (2998ds/127Mi)
% 0.23/0.53 % (15188)lrs+1002_1:1_au=on:cbe=off:cnfonf=conj_eager:cond=on:hi=on:i=100:si=on:rtra=on_0 on Vampire---4 for (2998ds/100Mi)
% 0.23/0.54 % (15184)Instruction limit reached!
% 0.23/0.54 % (15184)------------------------------
% 0.23/0.54 % (15184)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.23/0.54 % (15184)Termination reason: Unknown
% 0.23/0.54 % (15184)Termination phase: shuffling
% 0.23/0.54
% 0.23/0.54 % (15184)Memory used [KB]: 1535
% 0.23/0.54 % (15184)Time elapsed: 0.012 s
% 0.23/0.54 % (15184)Instructions burned: 30 (million)
% 0.23/0.54 % (15184)------------------------------
% 0.23/0.54 % (15184)------------------------------
% 0.23/0.55 % (15204)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 Vampire---4 for (2998ds/3Mi)
% 0.23/0.55 % (15204)Instruction limit reached!
% 0.23/0.55 % (15204)------------------------------
% 0.23/0.55 % (15204)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.23/0.55 % (15204)Termination reason: Unknown
% 0.23/0.55 % (15204)Termination phase: shuffling
% 0.23/0.55
% 0.23/0.55 % (15204)Memory used [KB]: 1279
% 0.23/0.55 % (15204)Time elapsed: 0.003 s
% 0.23/0.55 % (15204)Instructions burned: 5 (million)
% 0.23/0.55 % (15204)------------------------------
% 0.23/0.55 % (15204)------------------------------
% 0.23/0.55 % (15188)Instruction limit reached!
% 0.23/0.55 % (15188)------------------------------
% 0.23/0.55 % (15188)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.23/0.55 % (15188)Termination reason: Unknown
% 0.23/0.55 % (15188)Termination phase: Property scanning
% 0.23/0.55
% 0.23/0.55 % (15188)Memory used [KB]: 1791
% 0.23/0.55 % (15188)Time elapsed: 0.025 s
% 0.23/0.55 % (15188)Instructions burned: 100 (million)
% 0.23/0.55 % (15188)------------------------------
% 0.23/0.55 % (15188)------------------------------
% 1.45/0.56 % (15213)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 Vampire---4 for (2998ds/20Mi)
% 1.45/0.56 % (15186)Instruction limit reached!
% 1.45/0.56 % (15186)------------------------------
% 1.45/0.56 % (15186)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.45/0.56 % (15186)Termination reason: Unknown
% 1.45/0.56 % (15186)Termination phase: Property scanning
% 1.45/0.56
% 1.45/0.56 % (15186)Memory used [KB]: 1918
% 1.45/0.56 % (15186)Time elapsed: 0.034 s
% 1.45/0.56 % (15186)Instructions burned: 130 (million)
% 1.45/0.56 % (15186)------------------------------
% 1.45/0.56 % (15186)------------------------------
% 1.45/0.56 % (15217)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 Vampire---4 for (2998ds/86Mi)
% 1.45/0.56 % (15213)Instruction limit reached!
% 1.45/0.56 % (15213)------------------------------
% 1.45/0.56 % (15213)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.45/0.56 % (15213)Termination reason: Unknown
% 1.45/0.56 % (15213)Termination phase: Property scanning
% 1.45/0.56
% 1.45/0.56 % (15213)Memory used [KB]: 1535
% 1.45/0.56 % (15213)Time elapsed: 0.008 s
% 1.45/0.56 % (15213)Instructions burned: 22 (million)
% 1.45/0.56 % (15213)------------------------------
% 1.45/0.56 % (15213)------------------------------
% 1.45/0.57 % (15228)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 Vampire---4 for (2998ds/107Mi)
% 1.45/0.57 % (15230)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 Vampire---4 for (2998ds/39Mi)
% 1.65/0.58 % (15217)Instruction limit reached!
% 1.65/0.58 % (15217)------------------------------
% 1.65/0.58 % (15217)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.65/0.58 % (15217)Termination reason: Unknown
% 1.65/0.58 % (15217)Termination phase: Property scanning
% 1.65/0.58
% 1.65/0.58 % (15217)Memory used [KB]: 1918
% 1.65/0.58 % (15217)Time elapsed: 0.021 s
% 1.65/0.58 % (15217)Instructions burned: 86 (million)
% 1.65/0.58 % (15217)------------------------------
% 1.65/0.58 % (15217)------------------------------
% 1.65/0.59 % (15230)Instruction limit reached!
% 1.65/0.59 % (15230)------------------------------
% 1.65/0.59 % (15230)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.65/0.59 % (15230)Termination reason: Unknown
% 1.65/0.59 % (15230)Termination phase: Function definition elimination
% 1.65/0.59
% 1.65/0.59 % (15230)Memory used [KB]: 1535
% 1.65/0.59 % (15230)Time elapsed: 0.013 s
% 1.65/0.59 % (15230)Instructions burned: 41 (million)
% 1.65/0.59 % (15230)------------------------------
% 1.65/0.59 % (15230)------------------------------
% 1.65/0.59 % (15238)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 Vampire---4 for (2997ds/448Mi)
% 1.65/0.60 % (15239)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 Vampire---4 for (2997ds/46Mi)
% 1.65/0.60 % (15158)Instruction limit reached!
% 1.65/0.60 % (15158)------------------------------
% 1.65/0.60 % (15158)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.65/0.60 % (15158)Termination reason: Unknown
% 1.65/0.60 % (15158)Termination phase: Saturation
% 1.65/0.60
% 1.65/0.60 % (15158)Memory used [KB]: 6524
% 1.65/0.60 % (15158)Time elapsed: 0.108 s
% 1.65/0.60 % (15158)Instructions burned: 381 (million)
% 1.65/0.60 % (15158)------------------------------
% 1.65/0.60 % (15158)------------------------------
% 1.65/0.60 % (15228)Instruction limit reached!
% 1.65/0.60 % (15228)------------------------------
% 1.65/0.60 % (15228)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.65/0.60 % (15228)Termination reason: Unknown
% 1.65/0.60 % (15228)Termination phase: Property scanning
% 1.65/0.60
% 1.65/0.60 % (15228)Memory used [KB]: 1791
% 1.65/0.60 % (15228)Time elapsed: 0.028 s
% 1.65/0.60 % (15228)Instructions burned: 109 (million)
% 1.65/0.60 % (15228)------------------------------
% 1.65/0.60 % (15228)------------------------------
% 1.65/0.61 % (15240)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 Vampire---4 for (2997ds/98Mi)
% 1.65/0.61 % (15241)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 Vampire---4 for (2997ds/507Mi)
% 1.65/0.61 % (15239)Instruction limit reached!
% 1.65/0.61 % (15239)------------------------------
% 1.65/0.61 % (15239)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.65/0.61 % (15239)Termination reason: Unknown
% 1.65/0.61 % (15239)Termination phase: Property scanning
% 1.65/0.61
% 1.65/0.61 % (15239)Memory used [KB]: 1663
% 1.65/0.61 % (15239)Time elapsed: 0.017 s
% 1.65/0.61 % (15239)Instructions burned: 46 (million)
% 1.65/0.61 % (15239)------------------------------
% 1.65/0.61 % (15239)------------------------------
% 1.65/0.62 % (15242)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 Vampire---4 for (2997ds/149Mi)
% 1.65/0.63 % (15240)Instruction limit reached!
% 1.65/0.63 % (15240)------------------------------
% 1.65/0.63 % (15240)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.65/0.63 % (15240)Termination reason: Unknown
% 1.65/0.63 % (15240)Termination phase: Property scanning
% 1.65/0.63
% 1.65/0.63 % (15240)Memory used [KB]: 1791
% 1.65/0.63 % (15240)Time elapsed: 0.024 s
% 1.65/0.63 % (15240)Instructions burned: 99 (million)
% 1.65/0.63 % (15240)------------------------------
% 1.65/0.63 % (15240)------------------------------
% 2.03/0.64 % (15248)lrs+21_1:16_au=on:bd=off:piset=and:i=39:si=on:rtra=on_0 on Vampire---4 for (2997ds/39Mi)
% 2.11/0.66 % (15248)Instruction limit reached!
% 2.11/0.66 % (15248)------------------------------
% 2.11/0.66 % (15248)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.11/0.66 % (15248)Termination reason: Unknown
% 2.11/0.66 % (15248)Termination phase: Property scanning
% 2.11/0.66
% 2.11/0.66 % (15248)Memory used [KB]: 1663
% 2.11/0.66 % (15248)Time elapsed: 0.019 s
% 2.11/0.66 % (15248)Instructions burned: 39 (million)
% 2.11/0.66 % (15248)------------------------------
% 2.11/0.66 % (15248)------------------------------
% 2.11/0.67 % (15270)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 Vampire---4 for (2997ds/6Mi)
% 2.11/0.67 % (15270)Instruction limit reached!
% 2.11/0.67 % (15270)------------------------------
% 2.11/0.67 % (15270)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.11/0.67 % (15270)Termination reason: Unknown
% 2.11/0.67 % (15270)Termination phase: shuffling
% 2.11/0.67
% 2.11/0.67 % (15270)Memory used [KB]: 1279
% 2.11/0.67 % (15270)Time elapsed: 0.005 s
% 2.11/0.67 % (15270)Instructions burned: 6 (million)
% 2.11/0.67 % (15270)------------------------------
% 2.11/0.67 % (15270)------------------------------
% 2.11/0.68 % (15146)Instruction limit reached!
% 2.11/0.68 % (15146)------------------------------
% 2.11/0.68 % (15146)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.11/0.68 % (15146)Termination reason: Unknown
% 2.11/0.68 % (15146)Termination phase: Saturation
% 2.11/0.68
% 2.11/0.68 % (15146)Memory used [KB]: 6396
% 2.11/0.68 % (15146)Time elapsed: 0.218 s
% 2.11/0.68 % (15146)Instructions burned: 713 (million)
% 2.11/0.68 % (15146)------------------------------
% 2.11/0.68 % (15146)------------------------------
% 2.11/0.68 % (15242)Instruction limit reached!
% 2.11/0.68 % (15242)------------------------------
% 2.11/0.68 % (15242)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.11/0.68 % (15242)Termination reason: Unknown
% 2.11/0.68 % (15242)Termination phase: Twee Goal Transformation
% 2.11/0.68
% 2.11/0.68 % (15242)Memory used [KB]: 2046
% 2.11/0.68 % (15242)Time elapsed: 0.045 s
% 2.11/0.68 % (15242)Instructions burned: 149 (million)
% 2.11/0.68 % (15242)------------------------------
% 2.11/0.68 % (15242)------------------------------
% 2.11/0.68 % (15281)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 Vampire---4 for (2996ds/1087Mi)
% 2.11/0.68 % (15282)dis+10_1:1_aac=none:cs=on:i=47:si=on:rtra=on_0 on Vampire---4 for (2996ds/47Mi)
% 2.11/0.69 % (15283)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 Vampire---4 for (2996ds/44Mi)
% 2.11/0.70 % (15282)Instruction limit reached!
% 2.11/0.70 % (15282)------------------------------
% 2.11/0.70 % (15282)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.11/0.70 % (15282)Termination reason: Unknown
% 2.11/0.70 % (15282)Termination phase: Function definition elimination
% 2.11/0.70
% 2.11/0.70 % (15282)Memory used [KB]: 1663
% 2.11/0.70 % (15282)Time elapsed: 0.015 s
% 2.11/0.70 % (15282)Instructions burned: 52 (million)
% 2.11/0.70 % (15282)------------------------------
% 2.11/0.70 % (15282)------------------------------
% 2.11/0.70 % (15283)Instruction limit reached!
% 2.11/0.70 % (15283)------------------------------
% 2.11/0.70 % (15283)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.11/0.70 % (15283)Termination reason: Unknown
% 2.11/0.70 % (15283)Termination phase: Property scanning
% 2.11/0.70
% 2.11/0.70 % (15283)Memory used [KB]: 1663
% 2.11/0.70 % (15283)Time elapsed: 0.014 s
% 2.11/0.70 % (15283)Instructions burned: 47 (million)
% 2.11/0.70 % (15283)------------------------------
% 2.11/0.70 % (15283)------------------------------
% 2.11/0.70 % (15137)Instruction limit reached!
% 2.11/0.70 % (15137)------------------------------
% 2.11/0.70 % (15137)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.11/0.70 % (15137)Termination reason: Unknown
% 2.11/0.70 % (15137)Termination phase: Saturation
% 2.11/0.70
% 2.11/0.70 % (15137)Memory used [KB]: 7803
% 2.11/0.70 % (15137)Time elapsed: 0.309 s
% 2.11/0.70 % (15137)Instructions burned: 1042 (million)
% 2.11/0.70 % (15137)------------------------------
% 2.11/0.70 % (15137)------------------------------
% 2.11/0.71 % (15285)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 Vampire---4 for (2996ds/432Mi)
% 2.11/0.71 % (15286)lrs+10_7:1_cnfonf=lazy_gen:fe=off:nwc=5.0:plsq=on:i=62:si=on:rtra=on_0 on Vampire---4 for (2996ds/62Mi)
% 2.11/0.71 % (15287)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 Vampire---4 for (2996ds/31Mi)
% 2.11/0.71 % (15160)Instruction limit reached!
% 2.11/0.71 % (15160)------------------------------
% 2.11/0.71 % (15160)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.11/0.71 % (15160)Termination reason: Unknown
% 2.11/0.71 % (15160)Termination phase: Saturation
% 2.11/0.71
% 2.11/0.71 % (15160)Memory used [KB]: 6524
% 2.11/0.71 % (15160)Time elapsed: 0.207 s
% 2.11/0.71 % (15160)Instructions burned: 780 (million)
% 2.11/0.71 % (15160)------------------------------
% 2.11/0.71 % (15160)------------------------------
% 2.46/0.71 % (15238)Instruction limit reached!
% 2.46/0.71 % (15238)------------------------------
% 2.46/0.71 % (15238)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.46/0.71 % (15238)Termination reason: Unknown
% 2.46/0.71 % (15238)Termination phase: Saturation
% 2.46/0.71
% 2.46/0.71 % (15238)Memory used [KB]: 6524
% 2.46/0.71 % (15238)Time elapsed: 0.124 s
% 2.46/0.71 % (15238)Instructions burned: 448 (million)
% 2.46/0.71 % (15238)------------------------------
% 2.46/0.71 % (15238)------------------------------
% 2.46/0.72 % (15287)Instruction limit reached!
% 2.46/0.72 % (15287)------------------------------
% 2.46/0.72 % (15287)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.46/0.72 % (15287)Termination reason: Unknown
% 2.46/0.72 % (15287)Termination phase: Preprocessing 3
% 2.46/0.72
% 2.46/0.72 % (15287)Memory used [KB]: 1535
% 2.46/0.72 % (15287)Time elapsed: 0.012 s
% 2.46/0.72 % (15287)Instructions burned: 31 (million)
% 2.46/0.72 % (15287)------------------------------
% 2.46/0.72 % (15287)------------------------------
% 2.46/0.72 % (15289)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 Vampire---4 for (2996ds/453Mi)
% 2.46/0.72 % (15286)Instruction limit reached!
% 2.46/0.72 % (15286)------------------------------
% 2.46/0.72 % (15286)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.46/0.72 % (15286)Termination reason: Unknown
% 2.46/0.72 % (15286)Termination phase: Function definition elimination
% 2.46/0.72
% 2.46/0.72 % (15286)Memory used [KB]: 1791
% 2.46/0.72 % (15286)Time elapsed: 0.017 s
% 2.46/0.72 % (15286)Instructions burned: 67 (million)
% 2.46/0.72 % (15286)------------------------------
% 2.46/0.72 % (15286)------------------------------
% 2.46/0.73 % (15288)dis+10_1:128_hud=1:i=96:si=on:rtra=on_0 on Vampire---4 for (2996ds/96Mi)
% 2.46/0.73 % (15294)dis+1002_1:1_bd=off:fsr=off:ntd=on:s2a=on:ss=axioms:i=83:si=on:rtra=on_0 on Vampire---4 for (2996ds/83Mi)
% 2.46/0.73 % (15162)Instruction limit reached!
% 2.46/0.73 % (15162)------------------------------
% 2.46/0.73 % (15162)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.46/0.73 % (15162)Termination reason: Unknown
% 2.46/0.73 % (15162)Termination phase: Saturation
% 2.46/0.73
% 2.46/0.73 % (15162)Memory used [KB]: 6524
% 2.46/0.73 % (15162)Time elapsed: 0.224 s
% 2.46/0.73 % (15162)Instructions burned: 881 (million)
% 2.46/0.73 % (15162)------------------------------
% 2.46/0.73 % (15162)------------------------------
% 2.46/0.74 % (15293)lrs-1004_1:1_au=on:bsd=on:cbe=off:cnfonf=off:fe=axiom:fsd=on:i=71:si=on:rtra=on_0 on Vampire---4 for (2996ds/71Mi)
% 2.46/0.75 % (15241)Instruction limit reached!
% 2.46/0.75 % (15241)------------------------------
% 2.46/0.75 % (15241)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.46/0.75 % (15241)Termination reason: Unknown
% 2.46/0.75 % (15241)Termination phase: Saturation
% 2.46/0.75
% 2.46/0.75 % (15241)Memory used [KB]: 6780
% 2.46/0.75 % (15241)Time elapsed: 0.145 s
% 2.46/0.75 % (15241)Instructions burned: 507 (million)
% 2.46/0.75 % (15241)------------------------------
% 2.46/0.75 % (15241)------------------------------
% 2.46/0.76 % (15294)Instruction limit reached!
% 2.46/0.76 % (15294)------------------------------
% 2.46/0.76 % (15294)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.46/0.76 % (15294)Termination reason: Unknown
% 2.46/0.76 % (15294)Termination phase: Saturation
% 2.46/0.76
% 2.46/0.76 % (15294)Memory used [KB]: 6268
% 2.46/0.76 % (15294)Time elapsed: 0.024 s
% 2.46/0.76 % (15294)Instructions burned: 85 (million)
% 2.46/0.76 % (15294)------------------------------
% 2.46/0.76 % (15294)------------------------------
% 2.46/0.76 % (15295)lrs+10_1:128_cnfonf=lazy_not_gen_be_off:hud=1:ins=1:i=11:si=on:rtra=on_0 on Vampire---4 for (2996ds/11Mi)
% 2.86/0.76 % (15295)Instruction limit reached!
% 2.86/0.76 % (15295)------------------------------
% 2.86/0.76 % (15295)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.86/0.76 % (15295)Termination reason: Unknown
% 2.86/0.76 % (15295)Termination phase: shuffling
% 2.86/0.76
% 2.86/0.76 % (15295)Memory used [KB]: 1407
% 2.86/0.76 % (15295)Time elapsed: 0.005 s
% 2.86/0.76 % (15295)Instructions burned: 13 (million)
% 2.86/0.76 % (15295)------------------------------
% 2.86/0.76 % (15295)------------------------------
% 2.86/0.76 % (15296)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 Vampire---4 for (2996ds/41Mi)
% 2.86/0.76 % (15297)lrs+1004_1:1_chr=on:prag=on:i=6:si=on:rtra=on_0 on Vampire---4 for (2996ds/6Mi)
% 2.86/0.77 % (15293)Instruction limit reached!
% 2.86/0.77 % (15293)------------------------------
% 2.86/0.77 % (15293)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.86/0.77 % (15293)Termination reason: Unknown
% 2.86/0.77 % (15293)Termination phase: Function definition elimination
% 2.86/0.77
% 2.86/0.77 % (15293)Memory used [KB]: 1791
% 2.86/0.77 % (15293)Time elapsed: 0.031 s
% 2.86/0.77 % (15293)Instructions burned: 71 (million)
% 2.86/0.77 % (15293)------------------------------
% 2.86/0.77 % (15293)------------------------------
% 2.86/0.77 % (15297)Instruction limit reached!
% 2.86/0.77 % (15297)------------------------------
% 2.86/0.77 % (15297)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.86/0.77 % (15297)Termination reason: Unknown
% 2.86/0.77 % (15297)Termination phase: shuffling
% 2.86/0.77
% 2.86/0.77 % (15297)Memory used [KB]: 1279
% 2.86/0.77 % (15297)Time elapsed: 0.003 s
% 2.86/0.77 % (15297)Instructions burned: 7 (million)
% 2.86/0.77 % (15297)------------------------------
% 2.86/0.77 % (15297)------------------------------
% 2.86/0.77 % (15288)Instruction limit reached!
% 2.86/0.77 % (15288)------------------------------
% 2.86/0.77 % (15288)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.86/0.77 % (15288)Termination reason: Unknown
% 2.86/0.77 % (15288)Termination phase: Property scanning
% 2.86/0.77
% 2.86/0.77 % (15288)Memory used [KB]: 1918
% 2.86/0.77 % (15288)Time elapsed: 0.040 s
% 2.86/0.77 % (15288)Instructions burned: 97 (million)
% 2.86/0.77 % (15288)------------------------------
% 2.86/0.77 % (15288)------------------------------
% 2.86/0.77 % (15296)Instruction limit reached!
% 2.86/0.77 % (15296)------------------------------
% 2.86/0.77 % (15296)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.86/0.77 % (15296)Termination reason: Unknown
% 2.86/0.77 % (15296)Termination phase: Function definition elimination
% 2.86/0.77
% 2.86/0.77 % (15296)Memory used [KB]: 1663
% 2.86/0.77 % (15296)Time elapsed: 0.013 s
% 2.86/0.77 % (15296)Instructions burned: 43 (million)
% 2.86/0.77 % (15296)------------------------------
% 2.86/0.77 % (15296)------------------------------
% 2.86/0.77 % (15300)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 Vampire---4 for (2996ds/109Mi)
% 2.86/0.78 % (15298)dis+10_1:1_avsq=on:cnfonf=off:e2e=on:nm=32:i=150:si=on:rtra=on_0 on Vampire---4 for (2996ds/150Mi)
% 2.86/0.78 % (15302)lrs+10_1:1_au=on:cnfonf=off:sd=1:sgt=16:ss=axioms:i=140:si=on:rtra=on_0 on Vampire---4 for (2996ds/140Mi)
% 2.86/0.78 % (15299)ott+1010_1:1_au=on:s2a=on:sd=7:ss=axioms:st=1.5:i=343:si=on:rtra=on_0 on Vampire---4 for (2996ds/343Mi)
% 2.86/0.78 % (15301)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 Vampire---4 for (2996ds/253Mi)
% 2.86/0.80 % (15300)Instruction limit reached!
% 2.86/0.80 % (15300)------------------------------
% 2.86/0.80 % (15300)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.86/0.80 % (15300)Termination reason: Unknown
% 2.86/0.80 % (15300)Termination phase: Property scanning
% 2.86/0.80
% 2.86/0.80 % (15300)Memory used [KB]: 1791
% 2.86/0.80 % (15300)Time elapsed: 0.027 s
% 2.86/0.80 % (15300)Instructions burned: 112 (million)
% 2.86/0.80 % (15300)------------------------------
% 2.86/0.80 % (15300)------------------------------
% 2.86/0.81 % (15303)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 Vampire---4 for (2995ds/614Mi)
% 2.86/0.82 % (15302)Refutation not found, incomplete strategy
% 2.86/0.82 % (15302)------------------------------
% 2.86/0.82 % (15302)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.86/0.82 % (15302)Termination reason: Refutation not found, incomplete strategy
% 2.86/0.82
% 2.86/0.82
% 2.86/0.82 % (15302)Memory used [KB]: 6524
% 2.86/0.82 % (15302)Time elapsed: 0.037 s
% 2.86/0.82 % (15302)Instructions burned: 121 (million)
% 2.86/0.82 % (15302)------------------------------
% 2.86/0.82 % (15302)------------------------------
% 2.86/0.82 % (15289)Instruction limit reached!
% 2.86/0.82 % (15289)------------------------------
% 2.86/0.82 % (15289)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.86/0.82 % (15289)Termination reason: Unknown
% 2.86/0.82 % (15289)Termination phase: Saturation
% 2.86/0.82
% 2.86/0.82 % (15289)Memory used [KB]: 6780
% 2.86/0.82 % (15289)Time elapsed: 0.102 s
% 2.86/0.82 % (15289)Instructions burned: 454 (million)
% 2.86/0.82 % (15289)------------------------------
% 2.86/0.82 % (15289)------------------------------
% 2.86/0.83 % (15304)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 Vampire---4 for (2995ds/202Mi)
% 2.86/0.83 % (15305)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 Vampire---4 for (2995ds/339Mi)
% 2.86/0.84 % (15298)Instruction limit reached!
% 2.86/0.84 % (15298)------------------------------
% 2.86/0.84 % (15298)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.86/0.84 % (15298)Termination reason: Unknown
% 2.86/0.84 % (15298)Termination phase: Property scanning
% 2.86/0.84
% 2.86/0.84 % (15298)Memory used [KB]: 1791
% 2.86/0.84 % (15298)Time elapsed: 0.064 s
% 2.86/0.84 % (15298)Instructions burned: 151 (million)
% 2.86/0.84 % (15298)------------------------------
% 2.86/0.84 % (15298)------------------------------
% 3.26/0.84 % (15304)Refutation not found, incomplete strategy
% 3.26/0.84 % (15304)------------------------------
% 3.26/0.84 % (15304)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 3.26/0.84 % (15304)Termination reason: Refutation not found, incomplete strategy
% 3.26/0.84
% 3.26/0.84
% 3.26/0.84 % (15304)Memory used [KB]: 6140
% 3.26/0.84 % (15304)Time elapsed: 0.015 s
% 3.26/0.84 % (15304)Instructions burned: 47 (million)
% 3.26/0.84 % (15304)------------------------------
% 3.26/0.84 % (15304)------------------------------
% 3.26/0.85 % (15307)dis+2_1:1_cha=on:hud=7:nwc=3.0:prag=on:tnu=2:i=134:si=on:rtra=on_0 on Vampire---4 for (2995ds/134Mi)
% 3.26/0.86 % (15306)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 Vampire---4 for (2995ds/283Mi)
% 3.26/0.86 % (15285)Instruction limit reached!
% 3.26/0.86 % (15285)------------------------------
% 3.26/0.86 % (15285)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 3.26/0.86 % (15285)Termination reason: Unknown
% 3.26/0.86 % (15285)Termination phase: Saturation
% 3.26/0.86
% 3.26/0.86 % (15285)Memory used [KB]: 2046
% 3.26/0.86 % (15285)Time elapsed: 0.158 s
% 3.26/0.86 % (15285)Instructions burned: 432 (million)
% 3.26/0.86 % (15285)------------------------------
% 3.26/0.86 % (15285)------------------------------
% 3.44/0.88 % (15307)Instruction limit reached!
% 3.44/0.88 % (15307)------------------------------
% 3.44/0.88 % (15307)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 3.44/0.88 % (15307)Termination reason: Unknown
% 3.44/0.88 % (15307)Termination phase: Property scanning
% 3.44/0.88
% 3.44/0.88 % (15307)Memory used [KB]: 1791
% 3.44/0.88 % (15307)Time elapsed: 0.030 s
% 3.44/0.88 % (15307)Instructions burned: 135 (million)
% 3.44/0.88 % (15307)------------------------------
% 3.44/0.88 % (15307)------------------------------
% 3.44/0.88 % (15308)dis+1010_1:64_cnfonf=lazy_simp:fd=off:i=298:si=on:rtra=on_0 on Vampire---4 for (2995ds/298Mi)
% 3.44/0.89 % (15309)lrs+2_1:8_erd=off:plsq=on:plsqr=32,1:sos=on:i=192:si=on:rtra=on_0 on Vampire---4 for (2995ds/192Mi)
% 3.44/0.90 % (15301)Instruction limit reached!
% 3.44/0.90 % (15301)------------------------------
% 3.44/0.90 % (15301)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 3.44/0.90 % (15301)Termination reason: Unknown
% 3.44/0.90 % (15301)Termination phase: Saturation
% 3.44/0.90
% 3.44/0.90 % (15301)Memory used [KB]: 6396
% 3.44/0.90 % (15301)Time elapsed: 0.115 s
% 3.44/0.90 % (15301)Instructions burned: 254 (million)
% 3.44/0.90 % (15301)------------------------------
% 3.44/0.90 % (15301)------------------------------
% 3.44/0.91 % (15310)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 Vampire---4 for (2994ds/258Mi)
% 3.44/0.92 % (15305)Instruction limit reached!
% 3.44/0.92 % (15305)------------------------------
% 3.44/0.92 % (15305)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 3.44/0.92 % (15305)Termination reason: Unknown
% 3.44/0.92 % (15305)Termination phase: Saturation
% 3.44/0.92
% 3.44/0.92 % (15305)Memory used [KB]: 6908
% 3.44/0.92 % (15305)Time elapsed: 0.089 s
% 3.44/0.92 % (15305)Instructions burned: 340 (million)
% 3.44/0.92 % (15305)------------------------------
% 3.44/0.92 % (15305)------------------------------
% 3.44/0.92 % (15299)Instruction limit reached!
% 3.44/0.92 % (15299)------------------------------
% 3.44/0.92 % (15299)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 3.44/0.92 % (15299)Termination reason: Unknown
% 3.44/0.92 % (15299)Termination phase: Saturation
% 3.44/0.92
% 3.44/0.92 % (15299)Memory used [KB]: 6396
% 3.44/0.92 % (15299)Time elapsed: 0.142 s
% 3.44/0.92 % (15299)Instructions burned: 344 (million)
% 3.44/0.92 % (15299)------------------------------
% 3.44/0.92 % (15299)------------------------------
% 3.44/0.93 % (15309)Instruction limit reached!
% 3.44/0.93 % (15309)------------------------------
% 3.44/0.93 % (15309)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 3.44/0.93 % (15309)Termination reason: Unknown
% 3.44/0.93 % (15309)Termination phase: Property scanning
% 3.44/0.93
% 3.44/0.93 % (15309)Memory used [KB]: 1791
% 3.44/0.93 % (15309)Time elapsed: 0.043 s
% 3.44/0.93 % (15309)Instructions burned: 194 (million)
% 3.44/0.93 % (15309)------------------------------
% 3.44/0.93 % (15309)------------------------------
% 3.44/0.93 % (15311)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 Vampire---4 for (2994ds/90Mi)
% 3.90/0.93 % (15313)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 Vampire---4 for (2994ds/458Mi)
% 3.90/0.94 % (15306)Instruction limit reached!
% 3.90/0.94 % (15306)------------------------------
% 3.90/0.94 % (15306)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 3.90/0.94 % (15306)Termination reason: Unknown
% 3.90/0.94 % (15306)Termination phase: Saturation
% 3.90/0.94
% 3.90/0.94 % (15306)Memory used [KB]: 6396
% 3.90/0.94 % (15306)Time elapsed: 0.082 s
% 3.90/0.94 % (15306)Instructions burned: 285 (million)
% 3.90/0.94 % (15306)------------------------------
% 3.90/0.94 % (15306)------------------------------
% 3.90/0.94 % (15312)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 Vampire---4 for (2994ds/231Mi)
% 3.90/0.94 % (15314)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 Vampire---4 for (2994ds/31Mi)
% 3.90/0.95 % (15311)Instruction limit reached!
% 3.90/0.95 % (15311)------------------------------
% 3.90/0.95 % (15311)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 3.90/0.95 % (15311)Termination reason: Unknown
% 3.90/0.95 % (15311)Termination phase: Twee Goal Transformation
% 3.90/0.95
% 3.90/0.95 % (15311)Memory used [KB]: 1918
% 3.90/0.95 % (15311)Time elapsed: 0.020 s
% 3.90/0.95 % (15311)Instructions burned: 90 (million)
% 3.90/0.95 % (15311)------------------------------
% 3.90/0.95 % (15311)------------------------------
% 4.03/0.95 % (15314)Instruction limit reached!
% 4.03/0.95 % (15314)------------------------------
% 4.03/0.95 % (15314)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 4.03/0.95 % (15314)Termination reason: Unknown
% 4.03/0.95 % (15314)Termination phase: Preprocessing 3
% 4.03/0.95
% 4.03/0.95 % (15314)Memory used [KB]: 1535
% 4.03/0.95 % (15314)Time elapsed: 0.010 s
% 4.03/0.95 % (15314)Instructions burned: 32 (million)
% 4.03/0.95 % (15314)------------------------------
% 4.03/0.95 % (15314)------------------------------
% 4.03/0.95 % (15303)Instruction limit reached!
% 4.03/0.95 % (15303)------------------------------
% 4.03/0.95 % (15303)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 4.03/0.95 % (15303)Termination reason: Unknown
% 4.03/0.95 % (15303)Termination phase: Saturation
% 4.03/0.95
% 4.03/0.95 % (15303)Memory used [KB]: 6780
% 4.03/0.95 % (15303)Time elapsed: 0.145 s
% 4.03/0.95 % (15303)Instructions burned: 615 (million)
% 4.03/0.95 % (15303)------------------------------
% 4.03/0.95 % (15303)------------------------------
% 4.03/0.96 % (15315)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 Vampire---4 for (2994ds/297Mi)
% 4.03/0.96 % (15317)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 Vampire---4 for (2994ds/182Mi)
% 4.03/0.96 % (15281)Instruction limit reached!
% 4.03/0.96 % (15281)------------------------------
% 4.03/0.96 % (15281)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 4.03/0.96 % (15281)Termination reason: Unknown
% 4.03/0.96 % (15281)Termination phase: Saturation
% 4.03/0.96
% 4.03/0.96 % (15281)Memory used [KB]: 6524
% 4.03/0.96 % (15281)Time elapsed: 0.266 s
% 4.03/0.96 % (15281)Instructions burned: 1090 (million)
% 4.03/0.96 % (15281)------------------------------
% 4.03/0.96 % (15281)------------------------------
% 4.03/0.96 % (15316)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 Vampire---4 for (2994ds/987Mi)
% 4.03/0.97 % (15318)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 Vampire---4 for (2994ds/182Mi)
% 4.03/0.99 % (15308)Instruction limit reached!
% 4.03/0.99 % (15308)------------------------------
% 4.03/0.99 % (15308)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 4.03/0.99 % (15308)Termination reason: Unknown
% 4.03/0.99 % (15308)Termination phase: Saturation
% 4.03/0.99
% 4.03/0.99 % (15308)Memory used [KB]: 6396
% 4.03/0.99 % (15308)Time elapsed: 0.110 s
% 4.03/0.99 % (15308)Instructions burned: 300 (million)
% 4.03/0.99 % (15308)------------------------------
% 4.03/0.99 % (15308)------------------------------
% 4.03/1.00 % (15310)Instruction limit reached!
% 4.03/1.00 % (15310)------------------------------
% 4.03/1.00 % (15310)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 4.03/1.00 % (15310)Termination reason: Unknown
% 4.03/1.00 % (15310)Termination phase: Saturation
% 4.03/1.00
% 4.03/1.00 % (15310)Memory used [KB]: 6524
% 4.03/1.00 % (15310)Time elapsed: 0.091 s
% 4.03/1.00 % (15310)Instructions burned: 258 (million)
% 4.03/1.00 % (15310)------------------------------
% 4.03/1.00 % (15310)------------------------------
% 4.03/1.00 % (15319)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 Vampire---4 for (2993ds/154Mi)
% 4.03/1.01 % (15320)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 Vampire---4 for (2993ds/79Mi)
% 4.69/1.02 % (15318)Instruction limit reached!
% 4.69/1.02 % (15318)------------------------------
% 4.69/1.02 % (15318)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 4.69/1.02 % (15318)Termination reason: Unknown
% 4.69/1.02 % (15318)Termination phase: Saturation
% 4.69/1.02
% 4.69/1.02 % (15318)Memory used [KB]: 6652
% 4.69/1.02 % (15318)Time elapsed: 0.071 s
% 4.69/1.02 % (15318)Instructions burned: 185 (million)
% 4.69/1.02 % (15318)------------------------------
% 4.69/1.02 % (15318)------------------------------
% 4.69/1.02 % (15317)Instruction limit reached!
% 4.69/1.02 % (15317)------------------------------
% 4.69/1.02 % (15317)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 4.69/1.02 % (15317)Termination reason: Unknown
% 4.69/1.02 % (15317)Termination phase: Property scanning
% 4.69/1.02
% 4.69/1.02 % (15317)Memory used [KB]: 1918
% 4.69/1.02 % (15317)Time elapsed: 0.064 s
% 4.69/1.02 % (15317)Instructions burned: 184 (million)
% 4.69/1.02 % (15317)------------------------------
% 4.69/1.02 % (15317)------------------------------
% 4.69/1.03 % (15321)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 Vampire---4 for (2993ds/216Mi)
% 4.69/1.03 % (15320)Instruction limit reached!
% 4.69/1.03 % (15320)------------------------------
% 4.69/1.03 % (15320)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 4.69/1.03 % (15320)Termination reason: Unknown
% 4.69/1.03 % (15320)Termination phase: Property scanning
% 4.69/1.03
% 4.69/1.03 % (15320)Memory used [KB]: 1918
% 4.69/1.03 % (15320)Time elapsed: 0.019 s
% 4.69/1.03 % (15320)Instructions burned: 85 (million)
% 4.69/1.03 % (15320)------------------------------
% 4.69/1.03 % (15320)------------------------------
% 4.69/1.03 % (15313)Instruction limit reached!
% 4.69/1.03 % (15313)------------------------------
% 4.69/1.03 % (15313)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 4.69/1.03 % (15313)Termination reason: Unknown
% 4.69/1.03 % (15313)Termination phase: Saturation
% 4.69/1.03
% 4.69/1.03 % (15313)Memory used [KB]: 6524
% 4.69/1.03 % (15313)Time elapsed: 0.095 s
% 4.69/1.03 % (15313)Instructions burned: 458 (million)
% 4.69/1.03 % (15313)------------------------------
% 4.69/1.03 % (15313)------------------------------
% 4.69/1.03 % (15323)dis+1002_1:1_acc=on:au=on:bd=off:e2e=on:sgt=8:ss=axioms:i=922:si=on:rtra=on_0 on Vampire---4 for (2993ds/922Mi)
% 4.69/1.04 % (15324)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 Vampire---4 for (2993ds/182Mi)
% 4.69/1.04 % (15312)Instruction limit reached!
% 4.69/1.04 % (15312)------------------------------
% 4.69/1.04 % (15312)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 4.69/1.04 % (15312)Termination reason: Unknown
% 4.69/1.04 % (15312)Termination phase: Saturation
% 4.69/1.04
% 4.69/1.04 % (15312)Memory used [KB]: 7036
% 4.69/1.04 % (15312)Time elapsed: 0.103 s
% 4.69/1.04 % (15312)Instructions burned: 231 (million)
% 4.69/1.04 % (15312)------------------------------
% 4.69/1.04 % (15312)------------------------------
% 4.69/1.04 % (15322)lrs+1002_1:1_fe=off:hud=10:ins=2:sac=on:sp=const_frequency:i=114:si=on:rtra=on_0 on Vampire---4 for (2993ds/114Mi)
% 4.69/1.04 % (15315)Instruction limit reached!
% 4.69/1.04 % (15315)------------------------------
% 4.69/1.04 % (15315)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 4.69/1.04 % (15315)Termination reason: Unknown
% 4.69/1.04 % (15315)Termination phase: Saturation
% 4.69/1.04
% 4.69/1.04 % (15315)Memory used [KB]: 6908
% 4.69/1.04 % (15315)Time elapsed: 0.106 s
% 4.69/1.04 % (15315)Instructions burned: 297 (million)
% 4.69/1.04 % (15315)------------------------------
% 4.69/1.04 % (15315)------------------------------
% 4.69/1.05 % (15321)Refutation not found, incomplete strategy
% 4.69/1.05 % (15321)------------------------------
% 4.69/1.05 % (15321)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 4.69/1.05 % (15321)Termination reason: Refutation not found, incomplete strategy
% 4.69/1.05
% 4.69/1.05
% 4.69/1.05 % (15321)Memory used [KB]: 6268
% 4.69/1.05 % (15321)Time elapsed: 0.043 s
% 4.69/1.05 % (15321)Instructions burned: 81 (million)
% 4.69/1.05 % (15321)------------------------------
% 4.69/1.05 % (15321)------------------------------
% 4.69/1.05 % (15326)lrs+1004_1:1_cnfonf=lazy_pi_sigma_gen:fe=off:gs=on:hud=10:prag=on:tnu=1:i=50:si=on:rtra=on_0 on Vampire---4 for (2993ds/50Mi)
% 4.69/1.05 % (15325)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 Vampire---4 for (2993ds/164Mi)
% 4.69/1.05 % (15327)dis-30_1:1_acc=on:bd=off:fsr=off:plsq=on:plsqr=32,1:i=368:si=on:rtra=on_0 on Vampire---4 for (2993ds/368Mi)
% 4.69/1.06 % (15326)Instruction limit reached!
% 4.69/1.06 % (15326)------------------------------
% 4.69/1.06 % (15326)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 4.69/1.06 % (15326)Termination reason: Unknown
% 4.69/1.06 % (15326)Termination phase: Function definition elimination
% 4.69/1.06
% 4.69/1.06 % (15326)Memory used [KB]: 1663
% 4.69/1.06 % (15326)Time elapsed: 0.014 s
% 4.69/1.06 % (15326)Instructions burned: 55 (million)
% 4.69/1.06 % (15326)------------------------------
% 4.69/1.06 % (15326)------------------------------
% 4.69/1.06 % (15319)Instruction limit reached!
% 4.69/1.06 % (15319)------------------------------
% 4.69/1.06 % (15319)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 4.69/1.06 % (15319)Termination reason: Unknown
% 4.69/1.06 % (15319)Termination phase: Property scanning
% 4.69/1.06
% 4.69/1.06 % (15319)Memory used [KB]: 1791
% 4.69/1.06 % (15319)Time elapsed: 0.059 s
% 4.69/1.06 % (15319)Instructions burned: 155 (million)
% 4.69/1.06 % (15319)------------------------------
% 4.69/1.06 % (15319)------------------------------
% 4.69/1.07 % (15328)dis+2_1:1_bd=off:e2e=on:hud=1:nm=3:piset=or:prag=on:s2a=on:sp=const_max:i=1021:si=on:rtra=on_0 on Vampire---4 for (2993ds/1021Mi)
% 4.69/1.07 % (15324)Instruction limit reached!
% 4.69/1.07 % (15324)------------------------------
% 4.69/1.07 % (15324)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 4.69/1.07 % (15324)Termination reason: Unknown
% 4.69/1.07 % (15324)Termination phase: Property scanning
% 4.69/1.07
% 4.69/1.07 % (15324)Memory used [KB]: 1791
% 4.69/1.07 % (15324)Time elapsed: 0.040 s
% 4.69/1.07 % (15324)Instructions burned: 182 (million)
% 4.69/1.07 % (15324)------------------------------
% 4.69/1.07 % (15324)------------------------------
% 5.56/1.08 % (15322)Instruction limit reached!
% 5.56/1.08 % (15322)------------------------------
% 5.56/1.08 % (15322)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 5.56/1.08 % (15322)Termination reason: Unknown
% 5.56/1.08 % (15322)Termination phase: Property scanning
% 5.56/1.08
% 5.56/1.08 % (15322)Memory used [KB]: 1918
% 5.56/1.08 % (15322)Time elapsed: 0.043 s
% 5.56/1.08 % (15322)Instructions burned: 115 (million)
% 5.56/1.08 % (15322)------------------------------
% 5.56/1.08 % (15322)------------------------------
% 5.56/1.08 % (15330)dis+21_1:5_au=on:ntd=on:nwc=5.0:s2a=on:ss=axioms:st=5.0:i=204:si=on:rtra=on_0 on Vampire---4 for (2992ds/204Mi)
% 5.56/1.09 % (15329)dis+10_1:1_cnfonf=lazy_gen:fe=off:plsq=on:plsqc=1:plsqr=32,1:prag=on:i=267:si=on:rtra=on_0 on Vampire---4 for (2993ds/267Mi)
% 5.56/1.10 % (15331)dis+2_1:1024_atotf=0.0802881:au=on:bs=unit_only:cnfonf=lazy_not_gen_be_off:fde=none:nwc=10.0:prag=on:i=26:si=on:rtra=on_0 on Vampire---4 for (2992ds/26Mi)
% 5.56/1.12 % (15325)Instruction limit reached!
% 5.56/1.12 % (15325)------------------------------
% 5.56/1.12 % (15325)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 5.56/1.12 % (15325)Termination reason: Unknown
% 5.56/1.12 % (15325)Termination phase: Saturation
% 5.56/1.12
% 5.56/1.12 % (15325)Memory used [KB]: 1918
% 5.56/1.12 % (15325)Time elapsed: 0.069 s
% 5.56/1.12 % (15325)Instructions burned: 164 (million)
% 5.56/1.12 % (15325)------------------------------
% 5.56/1.12 % (15325)------------------------------
% 5.56/1.12 % (15331)Instruction limit reached!
% 5.56/1.12 % (15331)------------------------------
% 5.56/1.12 % (15331)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 5.56/1.12 % (15331)Termination reason: Unknown
% 5.56/1.12 % (15331)Termination phase: Property scanning
% 5.56/1.12
% 5.56/1.12 % (15331)Memory used [KB]: 1535
% 5.56/1.12 % (15331)Time elapsed: 0.010 s
% 5.56/1.12 % (15331)Instructions burned: 29 (million)
% 5.56/1.12 % (15331)------------------------------
% 5.56/1.12 % (15331)------------------------------
% 5.56/1.13 % (15330)Instruction limit reached!
% 5.56/1.13 % (15330)------------------------------
% 5.56/1.13 % (15330)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 5.56/1.13 % (15330)Termination reason: Unknown
% 5.56/1.13 % (15330)Termination phase: Property scanning
% 5.56/1.13
% 5.56/1.13 % (15330)Memory used [KB]: 1918
% 5.56/1.13 % (15330)Time elapsed: 0.046 s
% 5.56/1.13 % (15330)Instructions burned: 206 (million)
% 5.56/1.13 % (15330)------------------------------
% 5.56/1.13 % (15330)------------------------------
% 5.56/1.14 % (15334)dis+1010_1:1_acc=model:avsq=on:ixr=off:prag=on:s2a=on:sac=on:i=1539:si=on:rtra=on_0 on Vampire---4 for (2992ds/1539Mi)
% 5.56/1.14 % (15332)dis+1002_1:1_bd=preordered:c=on:cbe=off:cnfonf=lazy_not_gen_be_off:hud=10:ixr=off:prag=on:i=53:si=on:rtra=on_0 on Vampire---4 for (2992ds/53Mi)
% 5.56/1.14 % (15333)dis+1002_1:1_aac=none:au=on:e2e=on:nm=2:nwc=10.0:sd=1:ss=axioms:st=3.0:i=4436:si=on:rtra=on_0 on Vampire---4 for (2992ds/4436Mi)
% 5.56/1.15 % (15327)Instruction limit reached!
% 5.56/1.15 % (15327)------------------------------
% 5.56/1.15 % (15327)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 5.56/1.15 % (15327)Termination reason: Unknown
% 5.56/1.15 % (15327)Termination phase: Saturation
% 5.56/1.15
% 5.56/1.15 % (15327)Memory used [KB]: 6524
% 5.56/1.15 % (15327)Time elapsed: 0.079 s
% 5.56/1.15 % (15327)Instructions burned: 368 (million)
% 5.56/1.15 % (15327)------------------------------
% 5.56/1.15 % (15327)------------------------------
% 5.56/1.15 % (15335)lrs+2_1:1_bd=off:e2e=on:fde=none:kws=inv_precedence:plsq=on:plsqr=32,1:sos=on:i=408:si=on:rtra=on_0 on Vampire---4 for (2992ds/408Mi)
% 5.99/1.16 % (15332)Instruction limit reached!
% 5.99/1.16 % (15332)------------------------------
% 5.99/1.16 % (15332)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 5.99/1.16 % (15332)Termination reason: Unknown
% 5.99/1.16 % (15332)Termination phase: Function definition elimination
% 5.99/1.16
% 5.99/1.16 % (15332)Memory used [KB]: 1663
% 5.99/1.16 % (15332)Time elapsed: 0.022 s
% 5.99/1.16 % (15332)Instructions burned: 53 (million)
% 5.99/1.16 % (15332)------------------------------
% 5.99/1.16 % (15332)------------------------------
% 5.99/1.18 % (15336)lrs+1002_1:1_aac=none:au=on:cnfonf=lazy_gen:plsq=on:plsqc=1:plsqr=4203469,65536:i=5205:si=on:rtra=on_0 on Vampire---4 for (2992ds/5205Mi)
% 5.99/1.18 % (15329)Instruction limit reached!
% 5.99/1.18 % (15329)------------------------------
% 5.99/1.18 % (15329)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 5.99/1.18 % (15329)Termination reason: Unknown
% 5.99/1.18 % (15329)Termination phase: Saturation
% 5.99/1.18
% 5.99/1.18 % (15329)Memory used [KB]: 6396
% 5.99/1.18 % (15329)Time elapsed: 0.096 s
% 5.99/1.18 % (15329)Instructions burned: 268 (million)
% 5.99/1.18 % (15329)------------------------------
% 5.99/1.18 % (15329)------------------------------
% 5.99/1.19 % (15337)dis+1010_1:4_au=on:av=off:cbe=off:nwc=10.0:s2a=on:s2at=3.0:sd=2:ss=axioms:st=5.0:i=1913:si=on:rtra=on_0 on Vampire---4 for (2991ds/1913Mi)
% 6.37/1.26 % (15335)Instruction limit reached!
% 6.37/1.26 % (15335)------------------------------
% 6.37/1.26 % (15335)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 6.37/1.26 % (15335)Termination reason: Unknown
% 6.37/1.26 % (15335)Termination phase: Saturation
% 6.37/1.26
% 6.37/1.26 % (15335)Memory used [KB]: 7291
% 6.37/1.26 % (15335)Time elapsed: 0.108 s
% 6.37/1.26 % (15335)Instructions burned: 410 (million)
% 6.37/1.26 % (15335)------------------------------
% 6.37/1.26 % (15335)------------------------------
% 6.37/1.26 % (15328)Instruction limit reached!
% 6.37/1.26 % (15328)------------------------------
% 6.37/1.26 % (15328)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 6.37/1.26 % (15328)Termination reason: Unknown
% 6.37/1.26 % (15328)Termination phase: Saturation
% 6.37/1.26
% 6.37/1.26 % (15328)Memory used [KB]: 6908
% 6.37/1.26 % (15328)Time elapsed: 0.199 s
% 6.37/1.26 % (15328)Instructions burned: 1023 (million)
% 6.37/1.26 % (15328)------------------------------
% 6.37/1.26 % (15328)------------------------------
% 6.37/1.27 % (15323)Instruction limit reached!
% 6.37/1.27 % (15323)------------------------------
% 6.37/1.27 % (15323)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 6.37/1.27 % (15323)Termination reason: Unknown
% 6.37/1.27 % (15323)Termination phase: Saturation
% 6.37/1.27
% 6.37/1.27 % (15323)Memory used [KB]: 6780
% 6.37/1.27 % (15323)Time elapsed: 0.223 s
% 6.37/1.27 % (15323)Instructions burned: 924 (million)
% 6.37/1.27 % (15323)------------------------------
% 6.37/1.27 % (15323)------------------------------
% 6.37/1.27 % (15338)lrs+2_1:1_bd=off:cbe=off:piset=equals:sd=1:sgt=20:sos=all:ss=axioms:i=4350:si=on:rtra=on_0 on Vampire---4 for (2991ds/4350Mi)
% 6.37/1.27 % (15339)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=68:si=on:rtra=on_0 on Vampire---4 for (2991ds/68Mi)
% 6.37/1.28 % (15340)dis+10_1:1_au=on:nwc=5.0:s2a=on:s2at=2.0:sac=on:sd=7:ss=axioms:st=2.0:i=358:si=on:rtra=on_0 on Vampire---4 for (2991ds/358Mi)
% 6.37/1.29 % (15339)Instruction limit reached!
% 6.37/1.29 % (15339)------------------------------
% 6.37/1.29 % (15339)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 6.37/1.29 % (15339)Termination reason: Unknown
% 6.37/1.29 % (15339)Termination phase: Function definition elimination
% 6.37/1.29
% 6.37/1.29 % (15339)Memory used [KB]: 1663
% 6.37/1.29 % (15339)Time elapsed: 0.017 s
% 6.37/1.29 % (15339)Instructions burned: 68 (million)
% 6.37/1.29 % (15339)------------------------------
% 6.37/1.29 % (15339)------------------------------
% 6.37/1.29 % (15316)Instruction limit reached!
% 6.37/1.29 % (15316)------------------------------
% 6.37/1.29 % (15316)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 6.37/1.29 % (15316)Termination reason: Unknown
% 6.37/1.29 % (15316)Termination phase: Saturation
% 6.37/1.29
% 6.37/1.29 % (15316)Memory used [KB]: 6908
% 6.37/1.29 % (15316)Time elapsed: 0.348 s
% 6.37/1.29 % (15316)Instructions burned: 987 (million)
% 6.37/1.29 % (15316)------------------------------
% 6.37/1.29 % (15316)------------------------------
% 6.37/1.30 % (15341)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 Vampire---4 for (2990ds/31Mi)
% 6.37/1.30 % (15341)Instruction limit reached!
% 6.37/1.30 % (15341)------------------------------
% 6.37/1.30 % (15341)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 6.37/1.30 % (15341)Termination reason: Unknown
% 6.37/1.30 % (15341)Termination phase: Property scanning
% 6.37/1.30
% 6.37/1.30 % (15341)Memory used [KB]: 1663
% 6.37/1.30 % (15341)Time elapsed: 0.010 s
% 6.37/1.30 % (15341)Instructions burned: 32 (million)
% 6.37/1.30 % (15341)------------------------------
% 6.37/1.30 % (15341)------------------------------
% 6.37/1.31 % (15342)lrs+10_1:1_cnfonf=lazy_simp:sgt=5:sos=on:ss=axioms:i=279:si=on:rtra=on_0 on Vampire---4 for (2990ds/279Mi)
% 6.37/1.31 % (15343)lrs+10_8:1_au=on:fde=none:slsq=on:i=258:si=on:rtra=on_0 on Vampire---4 for (2990ds/258Mi)
% 6.66/1.36 % (15340)Instruction limit reached!
% 6.66/1.36 % (15340)------------------------------
% 6.66/1.36 % (15340)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 6.66/1.36 % (15340)Termination reason: Unknown
% 6.66/1.36 % (15340)Termination phase: Saturation
% 6.66/1.36
% 6.66/1.36 % (15340)Memory used [KB]: 6396
% 6.66/1.36 % (15340)Time elapsed: 0.078 s
% 6.66/1.36 % (15340)Instructions burned: 358 (million)
% 6.66/1.36 % (15340)------------------------------
% 6.66/1.36 % (15340)------------------------------
% 6.66/1.37 % (15344)dis+2_1:1024_atotf=0.0802881:au=on:bs=unit_only:cnfonf=lazy_not_gen_be_off:fde=none:nwc=10.0:prag=on:i=26:si=on:rtra=on_0 on Vampire---4 for (2990ds/26Mi)
% 6.66/1.37 % (15344)Instruction limit reached!
% 6.66/1.37 % (15344)------------------------------
% 6.66/1.37 % (15344)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 6.66/1.37 % (15344)Termination reason: Unknown
% 6.66/1.37 % (15344)Termination phase: Property scanning
% 6.66/1.37
% 6.66/1.37 % (15344)Memory used [KB]: 1535
% 6.66/1.37 % (15344)Time elapsed: 0.009 s
% 6.66/1.37 % (15344)Instructions burned: 27 (million)
% 6.66/1.37 % (15344)------------------------------
% 6.66/1.37 % (15344)------------------------------
% 6.66/1.38 % (15345)lrs+1010_1:1_au=on:cbe=off:cnfonf=lazy_not_be_gen:ntd=on:pe=on:i=995:si=on:rtra=on_0 on Vampire---4 for (2990ds/995Mi)
% 6.66/1.39 % (15343)Instruction limit reached!
% 6.66/1.39 % (15343)------------------------------
% 6.66/1.39 % (15343)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 6.66/1.39 % (15343)Termination reason: Unknown
% 6.66/1.39 % (15343)Termination phase: Saturation
% 6.66/1.39
% 6.66/1.39 % (15343)Memory used [KB]: 7036
% 6.66/1.39 % (15343)Time elapsed: 0.075 s
% 6.66/1.39 % (15343)Instructions burned: 259 (million)
% 6.66/1.39 % (15343)------------------------------
% 6.66/1.39 % (15343)------------------------------
% 6.84/1.39 % (15346)dis+10_1:8_amm=sco:cbe=off:hflw=5:hfsq=on:hfsqc=14:hfsql=off:hfsqr=4,1:hud=5:ile=on:lma=on:nm=2:ntd=on:prag=on:sac=on:sp=frequency:i=373:si=on:rtra=on_0 on Vampire---4 for (2989ds/373Mi)
% 6.84/1.42 % (15342)Instruction limit reached!
% 6.84/1.42 % (15342)------------------------------
% 6.84/1.42 % (15342)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 6.84/1.42 % (15342)Termination reason: Unknown
% 6.84/1.42 % (15342)Termination phase: Saturation
% 6.84/1.42
% 6.84/1.42 % (15342)Memory used [KB]: 6524
% 6.84/1.42 % (15342)Time elapsed: 0.120 s
% 6.84/1.42 % (15342)Instructions burned: 279 (million)
% 6.84/1.42 % (15342)------------------------------
% 6.84/1.42 % (15342)------------------------------
% 6.84/1.43 % (15334)Instruction limit reached!
% 6.84/1.43 % (15334)------------------------------
% 6.84/1.43 % (15334)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 6.84/1.43 % (15334)Termination reason: Unknown
% 6.84/1.43 % (15334)Termination phase: Saturation
% 6.84/1.43
% 6.84/1.43 % (15334)Memory used [KB]: 6780
% 6.84/1.43 % (15334)Time elapsed: 0.292 s
% 6.84/1.43 % (15334)Instructions burned: 1545 (million)
% 6.84/1.43 % (15334)------------------------------
% 6.84/1.43 % (15334)------------------------------
% 6.84/1.43 % (15348)lrs+1002_1:14_au=on:bd=off:e2e=on:fde=unused:sac=on:sos=on:i=832:si=on:rtra=on_0 on Vampire---4 for (2989ds/832Mi)
% 6.84/1.44 % (15347)lrs+1010_1:128_au=on:cnfonf=lazy_pi_sigma_gen:hflw=4:hfsq=on:hfsqc=20:hfsql=off:i=253:si=on:rtra=on_0 on Vampire---4 for (2989ds/253Mi)
% 6.84/1.45 % (15348)Refutation not found, incomplete strategy
% 6.84/1.45 % (15348)------------------------------
% 6.84/1.45 % (15348)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 6.84/1.45 % (15348)Termination reason: Refutation not found, incomplete strategy
% 6.84/1.45
% 6.84/1.45
% 6.84/1.45 % (15348)Memory used [KB]: 6140
% 6.84/1.45 % (15348)Time elapsed: 0.017 s
% 6.84/1.45 % (15348)Instructions burned: 54 (million)
% 6.84/1.45 % (15348)------------------------------
% 6.84/1.45 % (15348)------------------------------
% 6.84/1.46 % (15349)lrs+1010_1:1_chr=on:cnfonf=lazy_not_be_gen:gs=on:hud=5:plsq=on:plsqc=1:plsqr=5,1:prag=on:rawr=on:i=668:si=on:rtra=on_0 on Vampire---4 for (2989ds/668Mi)
% 7.30/1.51 % (15346)Instruction limit reached!
% 7.30/1.51 % (15346)------------------------------
% 7.30/1.51 % (15346)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 7.30/1.51 % (15346)Termination reason: Unknown
% 7.30/1.51 % (15346)Termination phase: Saturation
% 7.30/1.51
% 7.30/1.51 % (15346)Memory used [KB]: 6524
% 7.30/1.51 % (15346)Time elapsed: 0.083 s
% 7.30/1.51 % (15346)Instructions burned: 377 (million)
% 7.30/1.51 % (15346)------------------------------
% 7.30/1.51 % (15346)------------------------------
% 7.30/1.52 % (15350)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=40:si=on:rtra=on_0 on Vampire---4 for (2988ds/40Mi)
% 7.39/1.53 % (15347)Instruction limit reached!
% 7.39/1.53 % (15347)------------------------------
% 7.39/1.53 % (15347)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 7.39/1.53 % (15347)Termination reason: Unknown
% 7.39/1.53 % (15347)Termination phase: Saturation
% 7.39/1.53
% 7.39/1.53 % (15347)Memory used [KB]: 6396
% 7.39/1.53 % (15347)Time elapsed: 0.058 s
% 7.39/1.53 % (15347)Instructions burned: 257 (million)
% 7.39/1.53 % (15347)------------------------------
% 7.39/1.53 % (15347)------------------------------
% 7.39/1.54 % (15350)Instruction limit reached!
% 7.39/1.54 % (15350)------------------------------
% 7.39/1.54 % (15350)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 7.39/1.54 % (15350)Termination reason: Unknown
% 7.39/1.54 % (15350)Termination phase: Property scanning
% 7.39/1.54
% 7.39/1.54 % (15350)Memory used [KB]: 1535
% 7.39/1.54 % (15350)Time elapsed: 0.019 s
% 7.39/1.54 % (15350)Instructions burned: 40 (million)
% 7.39/1.54 % (15350)------------------------------
% 7.39/1.54 % (15350)------------------------------
% 7.39/1.54 % (15351)lrs+1010_1:1_cnfonf=lazy_pi_sigma_gen:fd=off:ntd=on:sd=1:sgt=32:sos=on:ss=axioms:i=294:si=on:rtra=on_0 on Vampire---4 for (2988ds/294Mi)
% 7.39/1.56 % (15352)dis+1010_1:1_avsq=on:fe=off:fsr=off:hud=10:plsq=on:plsqr=32,1:prag=on:i=187:si=on:rtra=on_0 on Vampire---4 for (2988ds/187Mi)
% 7.39/1.58 % (15345)Instruction limit reached!
% 7.39/1.58 % (15345)------------------------------
% 7.39/1.58 % (15345)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 7.39/1.58 % (15345)Termination reason: Unknown
% 7.39/1.58 % (15345)Termination phase: Saturation
% 7.39/1.58
% 7.39/1.58 % (15345)Memory used [KB]: 7036
% 7.39/1.58 % (15345)Time elapsed: 0.205 s
% 7.39/1.58 % (15345)Instructions burned: 999 (million)
% 7.39/1.58 % (15345)------------------------------
% 7.39/1.58 % (15345)------------------------------
% 7.39/1.59 % (15349)Instruction limit reached!
% 7.39/1.59 % (15349)------------------------------
% 7.39/1.59 % (15349)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 7.39/1.59 % (15349)Termination reason: Unknown
% 7.39/1.59 % (15349)Termination phase: Saturation
% 7.39/1.59
% 7.39/1.59 % (15349)Memory used [KB]: 11257
% 7.39/1.59 % (15349)Time elapsed: 0.136 s
% 7.39/1.59 % (15349)Instructions burned: 671 (million)
% 7.39/1.59 % (15349)------------------------------
% 7.39/1.59 % (15349)------------------------------
% 7.39/1.59 % (15353)lrs+1010_2:3_au=on:fsr=off:sd=4:ss=axioms:st=1.5:i=371:si=on:rtra=on_0 on Vampire---4 for (2987ds/371Mi)
% 7.39/1.60 % (15354)dis+1003_1:1_au=on:bd=preordered:fde=none:ixr=off:nwc=10.0:i=1827:si=on:rtra=on_0 on Vampire---4 for (2987ds/1827Mi)
% 7.84/1.64 % (15352)Instruction limit reached!
% 7.84/1.64 % (15352)------------------------------
% 7.84/1.64 % (15352)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 7.84/1.64 % (15352)Termination reason: Unknown
% 7.84/1.64 % (15352)Termination phase: Property scanning
% 7.84/1.64
% 7.84/1.64 % (15352)Memory used [KB]: 1918
% 7.84/1.64 % (15352)Time elapsed: 0.045 s
% 7.84/1.64 % (15352)Instructions burned: 189 (million)
% 7.84/1.64 % (15352)------------------------------
% 7.84/1.64 % (15352)------------------------------
% 7.84/1.66 % (15355)lrs+10_1:1_av=off:bd=off:cnfonf=lazy_gen:fe=off:hud=10:plsq=on:plsqc=1:plsqr=32,1:tnu=1:i=70:si=on:rtra=on_0 on Vampire---4 for (2987ds/70Mi)
% 7.84/1.67 % (15351)Instruction limit reached!
% 7.84/1.67 % (15351)------------------------------
% 7.84/1.67 % (15351)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 7.84/1.67 % (15351)Termination reason: Unknown
% 7.84/1.67 % (15351)Termination phase: Saturation
% 7.84/1.67
% 7.84/1.67 % (15351)Memory used [KB]: 6524
% 7.84/1.67 % (15351)Time elapsed: 0.137 s
% 7.84/1.67 % (15351)Instructions burned: 295 (million)
% 7.84/1.67 % (15351)------------------------------
% 7.84/1.67 % (15351)------------------------------
% 7.84/1.68 % (15353)Instruction limit reached!
% 7.84/1.68 % (15353)------------------------------
% 7.84/1.68 % (15353)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 7.84/1.68 % (15353)Termination reason: Unknown
% 7.84/1.68 % (15353)Termination phase: Saturation
% 7.84/1.68
% 7.84/1.68 % (15353)Memory used [KB]: 6396
% 7.84/1.68 % (15353)Time elapsed: 0.086 s
% 7.84/1.68 % (15353)Instructions burned: 372 (million)
% 7.84/1.68 % (15353)------------------------------
% 7.84/1.68 % (15353)------------------------------
% 7.84/1.68 % (15355)Instruction limit reached!
% 7.84/1.68 % (15355)------------------------------
% 7.84/1.68 % (15355)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 7.84/1.68 % (15355)Termination reason: Unknown
% 7.84/1.68 % (15355)Termination phase: Function definition elimination
% 7.84/1.68
% 7.84/1.68 % (15355)Memory used [KB]: 1791
% 7.84/1.68 % (15355)Time elapsed: 0.017 s
% 7.84/1.68 % (15355)Instructions burned: 71 (million)
% 7.84/1.68 % (15355)------------------------------
% 7.84/1.68 % (15355)------------------------------
% 7.84/1.68 % (15356)lrs+10_1:20_bd=off:cnfonf=lazy_not_be_gen:fe=axiom:hud=10:ins=1:nm=20:prag=on:sos=on:i=316:si=on:rtra=on_0 on Vampire---4 for (2987ds/316Mi)
% 7.84/1.68 % (15357)ott+1010_1:1_cnfonf=lazy_gen:fe=off:plsq=on:plsqc=1:plsqr=3548551,65536:s2a=on:i=932:si=on:rtra=on_0 on Vampire---4 for (2987ds/932Mi)
% 7.84/1.70 % (15358)lrs+1010_1:128_au=on:bd=preordered:cnfonf=lazy_pi_sigma_gen:plsq=on:plsqc=1:plsqr=32,1:sos=all:sp=occurrence:i=4714:si=on:rtra=on_0 on Vampire---4 for (2987ds/4714Mi)
% 10.27/1.74 % (15337)Instruction limit reached!
% 10.27/1.74 % (15337)------------------------------
% 10.27/1.74 % (15337)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 10.27/1.74 % (15337)Termination reason: Unknown
% 10.27/1.74 % (15337)Termination phase: Saturation
% 10.27/1.74
% 10.27/1.74 % (15337)Memory used [KB]: 2302
% 10.27/1.74 % (15337)Time elapsed: 0.550 s
% 10.27/1.74 % (15337)Instructions burned: 1917 (million)
% 10.27/1.74 % (15337)------------------------------
% 10.27/1.74 % (15337)------------------------------
% 10.27/1.75 % (15356)Instruction limit reached!
% 10.27/1.75 % (15356)------------------------------
% 10.27/1.75 % (15356)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 10.27/1.75 % (15356)Termination reason: Unknown
% 10.27/1.75 % (15356)Termination phase: Saturation
% 10.27/1.75
% 10.27/1.75 % (15356)Memory used [KB]: 6524
% 10.27/1.75 % (15356)Time elapsed: 0.066 s
% 10.27/1.75 % (15356)Instructions burned: 316 (million)
% 10.27/1.75 % (15356)------------------------------
% 10.27/1.75 % (15356)------------------------------
% 10.27/1.75 % (15359)dis+10_1:1_au=on:e2e=on:fde=none:nwc=10.0:s2a=on:s2at=2.0:i=8250:si=on:rtra=on_0 on Vampire---4 for (2986ds/8250Mi)
% 10.27/1.76 % (15360)lrs+1002_1:1_apa=on:cnfonf=off:fd=off:flr=on:hud=1:lcm=reverse:prag=on:sd=1:sos=on:ss=axioms:i=770:si=on:rtra=on_0 on Vampire---4 for (2986ds/770Mi)
% 10.76/1.78 % (15360)Refutation not found, incomplete strategy
% 10.76/1.78 % (15360)------------------------------
% 10.76/1.78 % (15360)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 10.76/1.78 % (15360)Termination reason: Refutation not found, incomplete strategy
% 10.76/1.78
% 10.76/1.78
% 10.76/1.78 % (15360)Memory used [KB]: 6268
% 10.76/1.78 % (15360)Time elapsed: 0.046 s
% 10.76/1.78 % (15360)Instructions burned: 75 (million)
% 10.76/1.78 % (15360)------------------------------
% 10.76/1.78 % (15360)------------------------------
% 10.76/1.79 % (15361)ott+1010_5:1_av=off:fe=off:ins=1:kws=precedence:sp=reverse_arity:i=794:si=on:rtra=on_0 on Vampire---4 for (2986ds/794Mi)
% 11.60/1.94 % (15361)Instruction limit reached!
% 11.60/1.94 % (15361)------------------------------
% 11.60/1.94 % (15361)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 11.60/1.94 % (15361)Termination reason: Unknown
% 11.60/1.94 % (15361)Termination phase: Saturation
% 11.60/1.94
% 11.60/1.94 % (15361)Memory used [KB]: 2430
% 11.60/1.94 % (15361)Time elapsed: 0.159 s
% 11.60/1.94 % (15361)Instructions burned: 794 (million)
% 11.60/1.94 % (15361)------------------------------
% 11.60/1.94 % (15361)------------------------------
% 11.60/1.95 % (15362)dis+1002_1:1_au=on:avsq=on:avsqr=1,16:cond=on:sp=frequency:i=464:si=on:rtra=on_0 on Vampire---4 for (2984ds/464Mi)
% 11.60/1.96 % (15357)Instruction limit reached!
% 11.60/1.96 % (15357)------------------------------
% 11.60/1.96 % (15357)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 11.60/1.96 % (15357)Termination reason: Unknown
% 11.60/1.96 % (15357)Termination phase: Saturation
% 11.60/1.96
% 11.60/1.96 % (15357)Memory used [KB]: 6780
% 11.60/1.96 % (15357)Time elapsed: 0.290 s
% 11.60/1.96 % (15357)Instructions burned: 934 (million)
% 11.60/1.96 % (15357)------------------------------
% 11.60/1.96 % (15357)------------------------------
% 11.60/1.96 % (15363)ott+21_1:3_avsq=on:bd=off:cnfonf=lazy_gen:fe=off:hud=10:ixr=off:plsq=on:plsqc=1:plsqr=32,1:prag=on:tnu=1:i=1376:si=on:rtra=on_0 on Vampire---4 for (2984ds/1376Mi)
% 12.21/2.05 % (15362)Instruction limit reached!
% 12.21/2.05 % (15362)------------------------------
% 12.21/2.05 % (15362)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 12.21/2.05 % (15362)Termination reason: Unknown
% 12.21/2.05 % (15362)Termination phase: Saturation
% 12.21/2.05
% 12.21/2.05 % (15362)Memory used [KB]: 6780
% 12.21/2.05 % (15362)Time elapsed: 0.096 s
% 12.21/2.05 % (15362)Instructions burned: 464 (million)
% 12.21/2.05 % (15362)------------------------------
% 12.21/2.05 % (15362)------------------------------
% 12.21/2.05 % (15364)dis+10_1:1_etr=on:plsq=on:plsqc=1:plsqr=32,1:i=906:si=on:rtra=on_0 on Vampire---4 for (2983ds/906Mi)
% 12.89/2.23 % (15364)Instruction limit reached!
% 12.89/2.23 % (15364)------------------------------
% 12.89/2.23 % (15364)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 12.89/2.23 % (15364)Termination reason: Unknown
% 12.89/2.23 % (15364)Termination phase: Saturation
% 12.89/2.23
% 12.89/2.23 % (15364)Memory used [KB]: 7036
% 12.89/2.23 % (15364)Time elapsed: 0.181 s
% 12.89/2.23 % (15364)Instructions burned: 906 (million)
% 12.89/2.23 % (15364)------------------------------
% 12.89/2.23 % (15364)------------------------------
% 14.38/2.24 % (15365)lrs+1002_1:16_bd=off:e2e=on:fde=unused:kws=precedence:sac=on:sos=on:ss=axioms:i=434:si=on:rtra=on_0 on Vampire---4 for (2981ds/434Mi)
% 14.38/2.29 % (15338)Instruction limit reached!
% 14.38/2.29 % (15338)------------------------------
% 14.38/2.29 % (15338)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 14.38/2.29 % (15338)Termination reason: Unknown
% 14.38/2.29 % (15338)Termination phase: Saturation
% 14.38/2.29
% 14.38/2.29 % (15338)Memory used [KB]: 7419
% 14.38/2.29 % (15338)Time elapsed: 1.012 s
% 14.38/2.29 % (15338)Instructions burned: 4351 (million)
% 14.38/2.29 % (15338)------------------------------
% 14.38/2.29 % (15338)------------------------------
% 14.38/2.30 % (15363)Instruction limit reached!
% 14.38/2.30 % (15363)------------------------------
% 14.38/2.30 % (15363)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 14.38/2.30 % (15363)Termination reason: Unknown
% 14.38/2.30 % (15363)Termination phase: Saturation
% 14.38/2.30
% 14.38/2.30 % (15363)Memory used [KB]: 9594
% 14.38/2.30 % (15363)Time elapsed: 0.335 s
% 14.38/2.30 % (15363)Instructions burned: 1376 (million)
% 14.38/2.30 % (15363)------------------------------
% 14.38/2.30 % (15363)------------------------------
% 14.38/2.30 % (15366)lrs+10_5:4_cnfonf=conj_eager:fe=axiom:hflw=5:hfsq=on:hfsqc=10:hfsql=off:hud=10:plsq=on:sgt=5:spb=goal_then_units:ss=axioms:i=865:si=on:rtra=on_0 on Vampire---4 for (2980ds/865Mi)
% 14.38/2.31 % (15367)dis+1002_1:1_cnfonf=lazy_simp:hud=5:plsq=on:plsqc=1:plsqr=32,1:prag=on:i=593:si=on:rtra=on_0 on Vampire---4 for (2980ds/593Mi)
% 14.97/2.35 % (15354)Instruction limit reached!
% 14.97/2.35 % (15354)------------------------------
% 14.97/2.35 % (15354)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 14.97/2.35 % (15354)Termination reason: Unknown
% 14.97/2.35 % (15354)Termination phase: Saturation
% 14.97/2.35
% 14.97/2.35 % (15354)Memory used [KB]: 10874
% 14.97/2.35 % (15354)Time elapsed: 0.749 s
% 14.97/2.35 % (15354)Instructions burned: 1828 (million)
% 14.97/2.35 % (15354)------------------------------
% 14.97/2.35 % (15354)------------------------------
% 14.97/2.35 % (15365)Instruction limit reached!
% 14.97/2.35 % (15365)------------------------------
% 14.97/2.35 % (15365)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 14.97/2.35 % (15365)Termination reason: Unknown
% 14.97/2.35 % (15365)Termination phase: Saturation
% 14.97/2.35
% 14.97/2.35 % (15365)Memory used [KB]: 7164
% 14.97/2.35 % (15365)Time elapsed: 0.113 s
% 14.97/2.35 % (15365)Instructions burned: 434 (million)
% 14.97/2.35 % (15365)------------------------------
% 14.97/2.35 % (15365)------------------------------
% 14.97/2.36 % (15368)dis+10_1:1_sd=2:sgt=20:slsq=on:ss=axioms:st=6.0:i=443:si=on:rtra=on_0 on Vampire---4 for (2980ds/443Mi)
% 14.97/2.36 % (15369)dis+10_1:1_atotf=0.1:cbe=off:sd=3:ss=axioms:st=2.0:i=594:si=on:rtra=on_0 on Vampire---4 for (2980ds/594Mi)
% 15.46/2.43 % (15367)Instruction limit reached!
% 15.46/2.43 % (15367)------------------------------
% 15.46/2.43 % (15367)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 15.46/2.43 % (15367)Termination reason: Unknown
% 15.46/2.43 % (15367)Termination phase: Saturation
% 15.46/2.43
% 15.46/2.43 % (15367)Memory used [KB]: 6780
% 15.46/2.43 % (15367)Time elapsed: 0.122 s
% 15.46/2.43 % (15367)Instructions burned: 596 (million)
% 15.46/2.43 % (15367)------------------------------
% 15.46/2.43 % (15367)------------------------------
% 15.46/2.43 % (15370)ott+10_1:1024_anc=none:bd=off:e2e=on:fde=none:fsr=off:hud=10:ixr=off:nm=4:nwc=5.0:spb=goal:i=327:si=on:rtra=on_0 on Vampire---4 for (2979ds/327Mi)
% 15.89/2.48 % (15369)Instruction limit reached!
% 15.89/2.48 % (15369)------------------------------
% 15.89/2.48 % (15369)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 15.89/2.48 % (15369)Termination reason: Unknown
% 15.89/2.48 % (15369)Termination phase: Saturation
% 15.89/2.48
% 15.89/2.48 % (15369)Memory used [KB]: 6524
% 15.89/2.48 % (15369)Time elapsed: 0.121 s
% 15.89/2.48 % (15369)Instructions burned: 594 (million)
% 15.89/2.48 % (15369)------------------------------
% 15.89/2.48 % (15369)------------------------------
% 15.89/2.49 % (15371)lrs+1002_1:1_au=on:bd=off:e2e=on:sd=2:sos=on:ss=axioms:i=5411:si=on:rtra=on_0 on Vampire---4 for (2978ds/5411Mi)
% 15.89/2.51 % (15368)Instruction limit reached!
% 15.89/2.51 % (15368)------------------------------
% 15.89/2.51 % (15368)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 15.89/2.51 % (15368)Termination reason: Unknown
% 15.89/2.51 % (15368)Termination phase: Saturation
% 15.89/2.51
% 15.89/2.51 % (15368)Memory used [KB]: 6524
% 15.89/2.51 % (15368)Time elapsed: 0.154 s
% 15.89/2.51 % (15368)Instructions burned: 445 (million)
% 15.89/2.51 % (15368)------------------------------
% 15.89/2.51 % (15368)------------------------------
% 15.89/2.53 % (15372)lrs+10_1:20_au=on:c=on:cbe=off:cnfonf=lazy_gen:ins=1:plsq=on:plsqc=1:plsqr=46,31:sac=on:i=1762:si=on:rtra=on_0 on Vampire---4 for (2978ds/1762Mi)
% 15.89/2.53 % (15370)Instruction limit reached!
% 15.89/2.53 % (15370)------------------------------
% 15.89/2.53 % (15370)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 15.89/2.53 % (15370)Termination reason: Unknown
% 15.89/2.53 % (15370)Termination phase: Saturation
% 15.89/2.53
% 15.89/2.53 % (15370)Memory used [KB]: 7547
% 15.89/2.53 % (15370)Time elapsed: 0.101 s
% 15.89/2.53 % (15370)Instructions burned: 329 (million)
% 15.89/2.53 % (15370)------------------------------
% 15.89/2.53 % (15370)------------------------------
% 15.89/2.54 % (15373)dis+1003_1:64_cha=on:cnfonf=lazy_gen:hud=9:nwc=8.0:prag=on:i=96:si=on:rtra=on_0 on Vampire---4 for (2978ds/96Mi)
% 15.89/2.56 % (15373)Instruction limit reached!
% 15.89/2.56 % (15373)------------------------------
% 15.89/2.56 % (15373)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 15.89/2.56 % (15373)Termination reason: Unknown
% 15.89/2.56 % (15373)Termination phase: Property scanning
% 15.89/2.56
% 15.89/2.56 % (15373)Memory used [KB]: 1791
% 15.89/2.56 % (15373)Time elapsed: 0.022 s
% 15.89/2.56 % (15373)Instructions burned: 99 (million)
% 15.89/2.56 % (15373)------------------------------
% 15.89/2.56 % (15373)------------------------------
% 16.67/2.57 % (15374)lrs+21_1:1_hud=5:kws=inv_frequency:nm=16:nwc=2.0:prag=on:sos=on:ss=axioms:i=503:si=on:rtra=on_0 on Vampire---4 for (2978ds/503Mi)
% 16.88/2.66 % (15366)Instruction limit reached!
% 16.88/2.66 % (15366)------------------------------
% 16.88/2.66 % (15366)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 16.88/2.66 % (15366)Termination reason: Unknown
% 16.88/2.66 % (15366)Termination phase: Saturation
% 16.88/2.66
% 16.88/2.66 % (15366)Memory used [KB]: 7036
% 16.88/2.66 % (15366)Time elapsed: 0.359 s
% 16.88/2.66 % (15366)Instructions burned: 865 (million)
% 16.88/2.66 % (15366)------------------------------
% 16.88/2.66 % (15366)------------------------------
% 16.88/2.67 % (15375)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 Vampire---4 for (2977ds/90Mi)
% 16.88/2.69 % (15374)Instruction limit reached!
% 16.88/2.69 % (15374)------------------------------
% 16.88/2.69 % (15374)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 16.88/2.69 % (15374)Termination reason: Unknown
% 16.88/2.69 % (15374)Termination phase: Saturation
% 16.88/2.69
% 16.88/2.69 % (15374)Memory used [KB]: 6652
% 16.88/2.69 % (15374)Time elapsed: 0.124 s
% 16.88/2.69 % (15374)Instructions burned: 504 (million)
% 16.88/2.69 % (15374)------------------------------
% 16.88/2.69 % (15374)------------------------------
% 16.88/2.70 % (15376)lrs+10_1:64_hud=5:plsq=on:plsqr=2011171,524288:i=593:si=on:rtra=on_0 on Vampire---4 for (2976ds/593Mi)
% 16.88/2.70 % (15375)Instruction limit reached!
% 16.88/2.70 % (15375)------------------------------
% 16.88/2.70 % (15375)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 16.88/2.70 % (15375)Termination reason: Unknown
% 16.88/2.70 % (15375)Termination phase: Twee Goal Transformation
% 16.88/2.70
% 16.88/2.70 % (15375)Memory used [KB]: 1918
% 16.88/2.70 % (15375)Time elapsed: 0.034 s
% 16.88/2.70 % (15375)Instructions burned: 92 (million)
% 16.88/2.70 % (15375)------------------------------
% 16.88/2.70 % (15375)------------------------------
% 17.77/2.72 % (15377)dis-1002_1:1_alpa=false:apa=on:au=on:bd=off:cnfonf=off:e2e=on:er=filter:fde=unused:plsq=on:plsqr=9699663,1048576:s2a=on:sos=on:sp=unary_first:i=1512:si=on:rtra=on_0 on Vampire---4 for (2976ds/1512Mi)
% 17.77/2.74 % (15377)Refutation not found, incomplete strategy
% 17.77/2.74 % (15377)------------------------------
% 17.77/2.74 % (15377)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 17.77/2.74 % (15377)Termination reason: Refutation not found, incomplete strategy
% 17.77/2.74
% 17.77/2.74
% 17.77/2.74 % (15377)Memory used [KB]: 6268
% 17.77/2.74 % (15377)Time elapsed: 0.021 s
% 17.77/2.74 % (15377)Instructions burned: 69 (million)
% 17.77/2.74 % (15377)------------------------------
% 17.77/2.74 % (15377)------------------------------
% 17.77/2.74 % (15378)lrs+1002_1:128_cbe=off:cnfonf=lazy_not_gen_be_off:ins=1:i=569:si=on:rtra=on_0 on Vampire---4 for (2976ds/569Mi)
% 18.10/2.82 % (15376)Instruction limit reached!
% 18.10/2.82 % (15376)------------------------------
% 18.10/2.82 % (15376)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 18.10/2.82 % (15376)Termination reason: Unknown
% 18.10/2.82 % (15376)Termination phase: Saturation
% 18.10/2.82
% 18.10/2.82 % (15376)Memory used [KB]: 6780
% 18.10/2.82 % (15376)Time elapsed: 0.121 s
% 18.10/2.82 % (15376)Instructions burned: 595 (million)
% 18.10/2.82 % (15376)------------------------------
% 18.10/2.82 % (15376)------------------------------
% 18.10/2.83 % (15379)ott+1002_1:1_bd=off:cnfonf=off:e2e=on:fd=off:fe=axiom:hud=5:prag=on:sos=on:i=501:si=on:rtra=on_0 on Vampire---4 for (2975ds/501Mi)
% 18.10/2.83 % (15358)Instruction limit reached!
% 18.10/2.83 % (15358)------------------------------
% 18.10/2.83 % (15358)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 18.10/2.83 % (15358)Termination reason: Unknown
% 18.10/2.83 % (15358)Termination phase: Saturation
% 18.10/2.83
% 18.10/2.83 % (15358)Memory used [KB]: 7164
% 18.10/2.83 % (15358)Time elapsed: 1.154 s
% 18.10/2.83 % (15358)Instructions burned: 4717 (million)
% 18.10/2.83 % (15358)------------------------------
% 18.10/2.83 % (15358)------------------------------
% 18.10/2.84 % (15380)lrs+1010_1:3_cnfonf=conj_eager:fsr=off:prag=on:sd=4:sgt=10:ss=axioms:i=562:si=on:rtra=on_0 on Vampire---4 for (2975ds/562Mi)
% 18.10/2.86 % (15378)Instruction limit reached!
% 18.10/2.86 % (15378)------------------------------
% 18.10/2.86 % (15378)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 18.10/2.86 % (15378)Termination reason: Unknown
% 18.10/2.86 % (15378)Termination phase: Saturation
% 18.10/2.86
% 18.10/2.86 % (15378)Memory used [KB]: 6780
% 18.10/2.86 % (15378)Time elapsed: 0.117 s
% 18.10/2.86 % (15378)Instructions burned: 571 (million)
% 18.10/2.86 % (15378)------------------------------
% 18.10/2.86 % (15378)------------------------------
% 18.10/2.87 % (15381)lrs+10_1:1_au=on:cnfonf=off:fde=unused:kws=precedence:tgt=full:i=406:si=on:rtra=on_0 on Vampire---4 for (2975ds/406Mi)
% 18.67/2.89 % (15333)Instruction limit reached!
% 18.67/2.89 % (15333)------------------------------
% 18.67/2.89 % (15333)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 18.67/2.89 % (15333)Termination reason: Unknown
% 18.67/2.89 % (15333)Termination phase: Saturation
% 18.67/2.89
% 18.67/2.89 % (15333)Memory used [KB]: 7803
% 18.67/2.89 % (15333)Time elapsed: 1.737 s
% 18.67/2.89 % (15333)Instructions burned: 4436 (million)
% 18.67/2.89 % (15333)------------------------------
% 18.67/2.89 % (15333)------------------------------
% 19.69/2.91 % (15382)dis+1004_1:128_au=on:cbe=off:e2e=on:sac=on:i=582:si=on:rtra=on_0 on Vampire---4 for (2974ds/582Mi)
% 19.69/2.91 % (15336)Instruction limit reached!
% 19.69/2.91 % (15336)------------------------------
% 19.69/2.91 % (15336)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 19.69/2.91 % (15336)Termination reason: Unknown
% 19.69/2.91 % (15336)Termination phase: Saturation
% 19.69/2.91
% 19.69/2.91 % (15336)Memory used [KB]: 8187
% 19.69/2.91 % (15336)Time elapsed: 1.726 s
% 19.69/2.91 % (15336)Instructions burned: 5206 (million)
% 19.69/2.91 % (15336)------------------------------
% 19.69/2.91 % (15336)------------------------------
% 19.69/2.92 % (15383)lrs+2_1:1_au=on:bd=off:bsr=unit_only:sd=2:sgt=32:sos=all:ss=axioms:i=456:si=on:rtra=on_0 on Vampire---4 for (2974ds/456Mi)
% 19.88/2.93 % (15379)Instruction limit reached!
% 19.88/2.93 % (15379)------------------------------
% 19.88/2.93 % (15379)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 19.88/2.93 % (15379)Termination reason: Unknown
% 19.88/2.93 % (15379)Termination phase: Saturation
% 19.88/2.93
% 19.88/2.93 % (15379)Memory used [KB]: 6780
% 19.88/2.93 % (15379)Time elapsed: 0.104 s
% 19.88/2.93 % (15379)Instructions burned: 504 (million)
% 19.88/2.93 % (15379)------------------------------
% 19.88/2.93 % (15379)------------------------------
% 19.94/2.94 % (15384)lrs+1010_1:1_au=on:cbe=off:cnfonf=conj_eager:tgt=ground:i=393:si=on:rtra=on_0 on Vampire---4 for (2974ds/393Mi)
% 19.94/2.99 % (15381)Instruction limit reached!
% 19.94/2.99 % (15381)------------------------------
% 19.94/2.99 % (15381)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 19.94/2.99 % (15381)Termination reason: Unknown
% 19.94/2.99 % (15381)Termination phase: Saturation
% 19.94/2.99
% 19.94/2.99 % (15381)Memory used [KB]: 7803
% 19.94/2.99 % (15381)Time elapsed: 0.129 s
% 19.94/2.99 % (15381)Instructions burned: 406 (million)
% 19.94/2.99 % (15381)------------------------------
% 19.94/2.99 % (15381)------------------------------
% 19.94/3.00 % (15386)lrs+1010_1:6_au=on:cnfonf=conj_eager:nwc=10.0:pe=on:prag=on:s2a=on:ss=axioms:st=1.5:i=1335:si=on:rtra=on_0 on Vampire---4 for (2973ds/1335Mi)
% 20.29/3.01 % (15380)Instruction limit reached!
% 20.29/3.01 % (15380)------------------------------
% 20.29/3.01 % (15380)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 20.29/3.01 % (15380)Termination reason: Unknown
% 20.29/3.01 % (15380)Termination phase: Saturation
% 20.29/3.01
% 20.29/3.01 % (15380)Memory used [KB]: 6780
% 20.29/3.01 % (15380)Time elapsed: 0.162 s
% 20.29/3.01 % (15380)Instructions burned: 562 (million)
% 20.29/3.01 % (15380)------------------------------
% 20.29/3.01 % (15380)------------------------------
% 20.29/3.02 % (15389)dis+1010_16:1_acc=model:au=on:avsq=on:cond=fast:plsq=on:plsqc=2:plsqr=9267,262144:i=3373:si=on:rtra=on_0 on Vampire---4 for (2973ds/3373Mi)
% 20.29/3.03 % (15382)Instruction limit reached!
% 20.29/3.03 % (15382)------------------------------
% 20.29/3.03 % (15382)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 20.29/3.03 % (15382)Termination reason: Unknown
% 20.29/3.03 % (15382)Termination phase: Saturation
% 20.29/3.03
% 20.29/3.03 % (15382)Memory used [KB]: 6780
% 20.29/3.03 % (15382)Time elapsed: 0.122 s
% 20.29/3.03 % (15382)Instructions burned: 586 (million)
% 20.29/3.03 % (15382)------------------------------
% 20.29/3.03 % (15382)------------------------------
% 20.29/3.03 % (15391)dis+10_1:1024_aac=none:au=on:cnfonf=lazy_gen:plsq=on:plsqc=1:plsqr=32,1:spb=goal_then_units:i=474:si=on:rtra=on_0 on Vampire---4 for (2973ds/474Mi)
% 20.29/3.04 % (15384)Instruction limit reached!
% 20.29/3.04 % (15384)------------------------------
% 20.29/3.04 % (15384)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 20.29/3.04 % (15384)Termination reason: Unknown
% 20.29/3.04 % (15384)Termination phase: Saturation
% 20.29/3.04
% 20.29/3.04 % (15384)Memory used [KB]: 7036
% 20.29/3.04 % (15384)Time elapsed: 0.106 s
% 20.29/3.04 % (15384)Instructions burned: 395 (million)
% 20.29/3.04 % (15384)------------------------------
% 20.29/3.04 % (15384)------------------------------
% 20.29/3.05 % (15392)lrs+1002_1:16_amm=sco:cnfonf=lazy_pi_sigma_gen:fe=off:nm=60:piset=all_but_not_eq:plsq=on:plsqc=1:plsqr=2,1:rawr=on:sp=occurrence:ss=included:st=-1.0:i=157:si=on:rtra=on_0 on Vampire---4 for (2973ds/157Mi)
% 20.71/3.08 % (15383)Instruction limit reached!
% 20.71/3.08 % (15383)------------------------------
% 20.71/3.08 % (15383)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 20.71/3.08 % (15383)Termination reason: Unknown
% 20.71/3.08 % (15383)Termination phase: Saturation
% 20.71/3.08
% 20.71/3.08 % (15383)Memory used [KB]: 6780
% 20.71/3.08 % (15383)Time elapsed: 0.159 s
% 20.71/3.08 % (15383)Instructions burned: 458 (million)
% 20.71/3.08 % (15383)------------------------------
% 20.71/3.08 % (15383)------------------------------
% 20.71/3.09 % (15392)Instruction limit reached!
% 20.71/3.09 % (15392)------------------------------
% 20.71/3.09 % (15392)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 20.71/3.09 % (15392)Termination reason: Unknown
% 20.71/3.09 % (15392)Termination phase: Property scanning
% 20.71/3.09
% 20.71/3.09 % (15392)Memory used [KB]: 1791
% 20.71/3.09 % (15392)Time elapsed: 0.035 s
% 20.71/3.09 % (15392)Instructions burned: 157 (million)
% 20.71/3.09 % (15392)------------------------------
% 20.71/3.09 % (15392)------------------------------
% 20.71/3.09 % (15372)Instruction limit reached!
% 20.71/3.09 % (15372)------------------------------
% 20.71/3.09 % (15372)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 20.71/3.09 % (15372)Termination reason: Unknown
% 20.71/3.09 % (15372)Termination phase: Saturation
% 20.71/3.09
% 20.71/3.09 % (15372)Memory used [KB]: 7164
% 20.71/3.09 % (15372)Time elapsed: 0.560 s
% 20.71/3.09 % (15372)Instructions burned: 1763 (million)
% 20.71/3.09 % (15372)------------------------------
% 20.71/3.09 % (15372)------------------------------
% 20.71/3.09 % (15393)dis+1010_1:1_amm=off:cs=on:kws=precedence:nwc=10.0:piset=all:s2a=on:sac=on:sp=unary_frequency:spb=goal:ss=axioms:st=3.0:i=590:si=on:rtra=on_0 on Vampire---4 for (2972ds/590Mi)
% 20.71/3.10 % (15395)lrs+1010_1:10_au=on:bd=off:cnfonf=lazy_pi_sigma_gen:sp=occurrence:i=414:si=on:rtra=on_0 on Vampire---4 for (2972ds/414Mi)
% 20.71/3.11 % (15394)dis+10_1:1024_kws=precedence:prag=on:rawr=on:sos=all:sp=unary_first:i=104:si=on:rtra=on_0 on Vampire---4 for (2972ds/104Mi)
% 20.71/3.14 % (15394)Instruction limit reached!
% 20.71/3.14 % (15394)------------------------------
% 20.71/3.14 % (15394)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 20.71/3.14 % (15394)Termination reason: Unknown
% 20.71/3.14 % (15394)Termination phase: Property scanning
% 20.71/3.14
% 20.71/3.14 % (15394)Memory used [KB]: 1791
% 20.71/3.14 % (15394)Time elapsed: 0.024 s
% 20.71/3.14 % (15394)Instructions burned: 104 (million)
% 20.71/3.14 % (15394)------------------------------
% 20.71/3.14 % (15394)------------------------------
% 20.71/3.15 % (15396)dis+10_1:1_av=off:bsd=on:bsr=unit_only:fd=off:hud=8:nm=16:prag=on:i=715:si=on:rtra=on_0 on Vampire---4 for (2972ds/715Mi)
% 21.17/3.16 % (15391)Instruction limit reached!
% 21.17/3.16 % (15391)------------------------------
% 21.17/3.16 % (15391)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 21.17/3.16 % (15391)Termination reason: Unknown
% 21.17/3.16 % (15391)Termination phase: Saturation
% 21.17/3.16
% 21.17/3.16 % (15391)Memory used [KB]: 6780
% 21.17/3.16 % (15391)Time elapsed: 0.110 s
% 21.17/3.16 % (15391)Instructions burned: 476 (million)
% 21.17/3.16 % (15391)------------------------------
% 21.17/3.16 % (15391)------------------------------
% 21.17/3.17 % (15397)dis+21_1:5_au=on:ntd=on:nwc=5.0:s2a=on:ss=axioms:st=5.0:i=961:si=on:rtra=on_0 on Vampire---4 for (2972ds/961Mi)
% 21.45/3.24 % (15395)Instruction limit reached!
% 21.45/3.24 % (15395)------------------------------
% 21.45/3.24 % (15395)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 21.45/3.24 % (15395)Termination reason: Unknown
% 21.45/3.24 % (15395)Termination phase: Saturation
% 21.45/3.24
% 21.45/3.24 % (15395)Memory used [KB]: 6524
% 21.45/3.24 % (15395)Time elapsed: 0.144 s
% 21.45/3.24 % (15395)Instructions burned: 416 (million)
% 21.45/3.24 % (15395)------------------------------
% 21.45/3.24 % (15395)------------------------------
% 21.45/3.26 % (15398)lrs-1002_1:128_abs=on:bd=preordered:cbe=off:e2e=on:fde=unused:fe=off:tgt=full:i=1213:si=on:rtra=on_0 on Vampire---4 for (2971ds/1213Mi)
% 21.45/3.26 % (15393)Instruction limit reached!
% 21.45/3.26 % (15393)------------------------------
% 21.45/3.26 % (15393)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 21.45/3.26 % (15393)Termination reason: Unknown
% 21.45/3.26 % (15393)Termination phase: Saturation
% 21.45/3.26
% 21.45/3.26 % (15393)Memory used [KB]: 8059
% 21.45/3.26 % (15393)Time elapsed: 0.166 s
% 21.45/3.26 % (15393)Instructions burned: 590 (million)
% 21.45/3.26 % (15393)------------------------------
% 21.45/3.26 % (15393)------------------------------
% 21.45/3.27 % (15399)lrs+1002_1:12_bd=off:hud=1:ntd=on:piset=equals:prag=on:i=1979:si=on:rtra=on_0 on Vampire---4 for (2971ds/1979Mi)
% 21.45/3.30 % (15396)Instruction limit reached!
% 21.45/3.30 % (15396)------------------------------
% 21.45/3.30 % (15396)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 21.45/3.30 % (15396)Termination reason: Unknown
% 21.45/3.30 % (15396)Termination phase: Saturation
% 21.45/3.30
% 21.45/3.30 % (15396)Memory used [KB]: 2302
% 21.45/3.30 % (15396)Time elapsed: 0.148 s
% 21.45/3.30 % (15396)Instructions burned: 715 (million)
% 21.45/3.30 % (15396)------------------------------
% 21.45/3.30 % (15396)------------------------------
% 22.06/3.31 % (15400)dis+1002_1:1_amm=off:au=on:bsd=on:cbe=off:cnfonf=lazy_gen:sp=unary_frequency:i=481:si=on:rtra=on_0 on Vampire---4 for (2970ds/481Mi)
% 22.06/3.33 % (15386)Instruction limit reached!
% 22.06/3.33 % (15386)------------------------------
% 22.06/3.33 % (15386)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 22.06/3.33 % (15386)Termination reason: Unknown
% 22.06/3.33 % (15386)Termination phase: Saturation
% 22.06/3.33
% 22.06/3.33 % (15386)Memory used [KB]: 6780
% 22.06/3.33 % (15386)Time elapsed: 0.326 s
% 22.06/3.33 % (15386)Instructions burned: 1338 (million)
% 22.06/3.33 % (15386)------------------------------
% 22.06/3.33 % (15386)------------------------------
% 22.06/3.34 % (15401)dis+10_8:1_apa=on:cnfonf=off:e2e=on:plsq=on:plsqc=1:plsqr=32,1:ss=axioms:i=783:si=on:rtra=on_0 on Vampire---4 for (2970ds/783Mi)
% 22.52/3.41 % (15400)Instruction limit reached!
% 22.52/3.41 % (15400)------------------------------
% 22.52/3.41 % (15400)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 22.52/3.41 % (15400)Termination reason: Unknown
% 22.52/3.41 % (15400)Termination phase: Saturation
% 22.52/3.41
% 22.52/3.41 % (15400)Memory used [KB]: 6780
% 22.52/3.41 % (15400)Time elapsed: 0.100 s
% 22.52/3.41 % (15400)Instructions burned: 481 (million)
% 22.52/3.41 % (15400)------------------------------
% 22.52/3.41 % (15400)------------------------------
% 22.52/3.42 % (15402)lrs+1010_1:1_avsq=on:avsqr=1,16:kws=inv_arity:nwc=5.0:sd=1:ss=axioms:i=432:si=on:rtra=on_0 on Vampire---4 for (2969ds/432Mi)
% 24.15/3.49 % (15397)Instruction limit reached!
% 24.15/3.49 % (15397)------------------------------
% 24.15/3.49 % (15397)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 24.15/3.49 % (15397)Termination reason: Unknown
% 24.15/3.49 % (15397)Termination phase: Saturation
% 24.15/3.49
% 24.15/3.49 % (15397)Memory used [KB]: 6780
% 24.15/3.49 % (15397)Time elapsed: 0.317 s
% 24.15/3.49 % (15397)Instructions burned: 963 (million)
% 24.15/3.49 % (15397)------------------------------
% 24.15/3.49 % (15397)------------------------------
% 24.45/3.50 % (15403)lrs+1010_1:1_atotf=0.5:au=on:cbe=off:cnfonf=lazy_not_be_gen:fe=off:nwc=5.0:spb=units:i=1670:si=on:rtra=on_0 on Vampire---4 for (2968ds/1670Mi)
% 24.45/3.54 % (15402)Instruction limit reached!
% 24.45/3.54 % (15402)------------------------------
% 24.45/3.54 % (15402)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 24.45/3.54 % (15402)Termination reason: Unknown
% 24.45/3.54 % (15402)Termination phase: Saturation
% 24.45/3.54
% 24.45/3.54 % (15402)Memory used [KB]: 6524
% 24.45/3.54 % (15402)Time elapsed: 0.110 s
% 24.45/3.54 % (15402)Instructions burned: 435 (million)
% 24.45/3.54 % (15402)------------------------------
% 24.45/3.54 % (15402)------------------------------
% 24.72/3.55 % (15404)dis+2_1:1_au=on:hfaw=0:hfsq=on:sp=weighted_frequency:i=90:si=on:rtra=on_0 on Vampire---4 for (2968ds/90Mi)
% 24.72/3.56 % (15401)Instruction limit reached!
% 24.72/3.56 % (15401)------------------------------
% 24.72/3.56 % (15401)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 24.72/3.56 % (15401)Termination reason: Unknown
% 24.72/3.56 % (15401)Termination phase: Saturation
% 24.72/3.56
% 24.72/3.56 % (15401)Memory used [KB]: 8443
% 24.72/3.56 % (15401)Time elapsed: 0.230 s
% 24.72/3.56 % (15401)Instructions burned: 785 (million)
% 24.72/3.56 % (15401)------------------------------
% 24.72/3.56 % (15401)------------------------------
% 24.72/3.57 % (15404)Instruction limit reached!
% 24.72/3.57 % (15404)------------------------------
% 24.72/3.57 % (15404)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 24.72/3.57 % (15404)Termination reason: Unknown
% 24.72/3.57 % (15404)Termination phase: Property scanning
% 24.72/3.57
% 24.72/3.57 % (15404)Memory used [KB]: 1791
% 24.72/3.57 % (15404)Time elapsed: 0.020 s
% 24.72/3.57 % (15404)Instructions burned: 90 (million)
% 24.72/3.57 % (15404)------------------------------
% 24.72/3.57 % (15404)------------------------------
% 24.72/3.57 % (15405)dis+10_1:1_au=on:cnfonf=lazy_gen:ixr=off:plsq=on:plsqc=1:plsqr=32,1:i=346:si=on:rtra=on_0 on Vampire---4 for (2968ds/346Mi)
% 24.72/3.57 % (15406)dis+1002_1:1_cnfonf=lazy_not_gen:hud=10:plsq=on:plsqc=1:plsqr=32,1:prag=on:i=401:si=on:rtra=on_0 on Vampire---4 for (2968ds/401Mi)
% 25.24/3.64 % (15399)Instruction limit reached!
% 25.24/3.64 % (15399)------------------------------
% 25.24/3.64 % (15399)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 25.24/3.64 % (15399)Termination reason: Unknown
% 25.24/3.64 % (15399)Termination phase: Saturation
% 25.24/3.64
% 25.24/3.64 % (15399)Memory used [KB]: 6780
% 25.24/3.64 % (15399)Time elapsed: 0.375 s
% 25.24/3.64 % (15399)Instructions burned: 1983 (million)
% 25.24/3.64 % (15399)------------------------------
% 25.24/3.64 % (15399)------------------------------
% 25.24/3.64 % (15405)Instruction limit reached!
% 25.24/3.64 % (15405)------------------------------
% 25.24/3.64 % (15405)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 25.24/3.64 % (15405)Termination reason: Unknown
% 25.24/3.64 % (15405)Termination phase: Saturation
% 25.24/3.64
% 25.24/3.64 % (15405)Memory used [KB]: 6396
% 25.24/3.64 % (15405)Time elapsed: 0.072 s
% 25.24/3.64 % (15405)Instructions burned: 347 (million)
% 25.24/3.64 % (15405)------------------------------
% 25.24/3.64 % (15405)------------------------------
% 25.24/3.65 % (15407)lrs+1010_1:1_au=on:s2a=on:sd=1:sgt=50:ss=axioms:i=6454:si=on:rtra=on_0 on Vampire---4 for (2967ds/6454Mi)
% 25.24/3.65 % (15408)dis+1010_1:1_avsq=on:fe=off:fsr=off:hud=10:kws=arity:prag=on:i=283:si=on:rtra=on_0 on Vampire---4 for (2967ds/283Mi)
% 25.24/3.66 % (15406)Instruction limit reached!
% 25.24/3.66 % (15406)------------------------------
% 25.24/3.66 % (15406)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 25.24/3.66 % (15406)Termination reason: Unknown
% 25.24/3.66 % (15406)Termination phase: Saturation
% 25.24/3.66
% 25.24/3.66 % (15406)Memory used [KB]: 6524
% 25.24/3.66 % (15406)Time elapsed: 0.085 s
% 25.24/3.66 % (15406)Instructions burned: 404 (million)
% 25.24/3.66 % (15406)------------------------------
% 25.24/3.66 % (15406)------------------------------
% 25.24/3.67 % (15409)ott+10_1:1_aac=none:apa=on:au=on:cnfonf=off:ntd=on:nwc=12.0:sos=on:i=865:si=on:rtra=on_0 on Vampire---4 for (2967ds/865Mi)
% 25.64/3.71 % (15408)Instruction limit reached!
% 25.64/3.71 % (15408)------------------------------
% 25.64/3.71 % (15408)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 25.64/3.71 % (15408)Termination reason: Unknown
% 25.64/3.71 % (15408)Termination phase: Saturation
% 25.64/3.71
% 25.64/3.71 % (15408)Memory used [KB]: 6396
% 25.64/3.71 % (15408)Time elapsed: 0.061 s
% 25.64/3.71 % (15408)Instructions burned: 284 (million)
% 25.64/3.71 % (15408)------------------------------
% 25.64/3.71 % (15408)------------------------------
% 25.64/3.72 % (15410)lrs+1002_3:4_au=on:av=off:cnfonf=off:fd=off:fsr=off:ins=2:sd=1:sos=on:ss=axioms:i=4528:si=on:rtra=on_0 on Vampire---4 for (2966ds/4528Mi)
% 25.64/3.73 % (15410)Refutation not found, incomplete strategy
% 25.64/3.73 % (15410)------------------------------
% 25.64/3.73 % (15410)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 25.64/3.73 % (15410)Termination reason: Refutation not found, incomplete strategy
% 25.64/3.73
% 25.64/3.73
% 25.64/3.73 % (15410)Memory used [KB]: 1791
% 25.64/3.73 % (15410)Time elapsed: 0.017 s
% 25.64/3.73 % (15410)Instructions burned: 58 (million)
% 25.64/3.73 % (15410)------------------------------
% 25.64/3.73 % (15410)------------------------------
% 25.64/3.74 % (15411)dis+1002_1:1_cbe=off:hud=5:nm=4:plsq=on:plsqr=7,1:prag=on:sp=const_max:tnu=1:i=1001:si=on:rtra=on_0 on Vampire---4 for (2966ds/1001Mi)
% 26.17/3.84 % (15409)Instruction limit reached!
% 26.17/3.84 % (15409)------------------------------
% 26.17/3.84 % (15409)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 26.17/3.84 % (15409)Termination reason: Unknown
% 26.17/3.84 % (15409)Termination phase: Saturation
% 26.17/3.84
% 26.17/3.84 % (15409)Memory used [KB]: 6908
% 26.17/3.84 % (15409)Time elapsed: 0.172 s
% 26.17/3.84 % (15409)Instructions burned: 867 (million)
% 26.17/3.84 % (15409)------------------------------
% 26.17/3.84 % (15409)------------------------------
% 26.51/3.84 % (15398)Instruction limit reached!
% 26.51/3.84 % (15398)------------------------------
% 26.51/3.84 % (15398)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 26.51/3.84 % (15398)Termination reason: Unknown
% 26.51/3.84 % (15398)Termination phase: Saturation
% 26.51/3.84
% 26.51/3.84 % (15398)Memory used [KB]: 9722
% 26.51/3.84 % (15398)Time elapsed: 0.585 s
% 26.51/3.84 % (15398)Instructions burned: 1214 (million)
% 26.51/3.84 % (15398)------------------------------
% 26.51/3.84 % (15398)------------------------------
% 26.51/3.84 % (15412)lrs+1002_1:1_au=on:cbe=off:cnfonf=conj_eager:cond=on:hi=on:i=102:si=on:rtra=on_0 on Vampire---4 for (2965ds/102Mi)
% 26.51/3.86 % (15413)ott+1010_3:1_nm=20:s2a=on:s2at=3.0:sp=const_frequency:i=952:si=on:rtra=on_0 on Vampire---4 for (2965ds/952Mi)
% 26.51/3.87 % (15412)Instruction limit reached!
% 26.51/3.87 % (15412)------------------------------
% 26.51/3.87 % (15412)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 26.51/3.87 % (15412)Termination reason: Unknown
% 26.51/3.87 % (15412)Termination phase: Property scanning
% 26.51/3.87
% 26.51/3.87 % (15412)Memory used [KB]: 1791
% 26.51/3.87 % (15412)Time elapsed: 0.029 s
% 26.51/3.87 % (15412)Instructions burned: 102 (million)
% 26.51/3.87 % (15412)------------------------------
% 26.51/3.87 % (15412)------------------------------
% 26.51/3.88 % (15414)lrs+1010_1:1024_add=large:c=on:cbe=off:cnfonf=lazy_gen:fde=none:nm=30:piset=and:sac=on:uhcvi=on:i=578:si=on:rtra=on_0 on Vampire---4 for (2965ds/578Mi)
% 26.86/3.94 % (15411)Instruction limit reached!
% 26.86/3.94 % (15411)------------------------------
% 26.86/3.94 % (15411)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 26.86/3.94 % (15411)Termination reason: Unknown
% 26.86/3.94 % (15411)Termination phase: Saturation
% 26.86/3.94
% 26.86/3.94 % (15411)Memory used [KB]: 6780
% 26.86/3.94 % (15411)Time elapsed: 0.196 s
% 26.86/3.94 % (15411)Instructions burned: 1004 (million)
% 26.86/3.94 % (15411)------------------------------
% 26.86/3.94 % (15411)------------------------------
% 26.86/3.95 % (15415)dis+1010_1:4_avsq=on:avsqr=16,1:bet=on:cbe=off:cnfonf=lazy_not_be_gen:hud=5:plsq=on:plsqc=1:plsqr=32,1:prag=on:i=643:si=on:rtra=on_0 on Vampire---4 for (2964ds/643Mi)
% 27.24/4.05 % (15413)Instruction limit reached!
% 27.24/4.05 % (15413)------------------------------
% 27.24/4.05 % (15413)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 27.24/4.05 % (15413)Termination reason: Unknown
% 27.24/4.05 % (15413)Termination phase: Saturation
% 27.24/4.05
% 27.24/4.05 % (15413)Memory used [KB]: 6780
% 27.24/4.05 % (15413)Time elapsed: 0.186 s
% 27.24/4.05 % (15413)Instructions burned: 955 (million)
% 27.24/4.05 % (15413)------------------------------
% 27.24/4.05 % (15413)------------------------------
% 27.24/4.06 % (15416)lrs+1010_1:1_cnfonf=off:ntd=on:nwc=3.0:s2a=on:sp=const_frequency:i=865:si=on:rtra=on_0 on Vampire---4 for (2963ds/865Mi)
% 27.24/4.06 % (15389)Instruction limit reached!
% 27.24/4.06 % (15389)------------------------------
% 27.24/4.06 % (15389)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 27.24/4.06 % (15389)Termination reason: Unknown
% 27.24/4.06 % (15389)Termination phase: Saturation
% 27.24/4.06
% 27.24/4.06 % (15389)Memory used [KB]: 6908
% 27.24/4.06 % (15389)Time elapsed: 1.038 s
% 27.24/4.06 % (15389)Instructions burned: 3376 (million)
% 27.24/4.06 % (15389)------------------------------
% 27.24/4.06 % (15389)------------------------------
% 28.99/4.07 % (15414)Instruction limit reached!
% 28.99/4.07 % (15414)------------------------------
% 28.99/4.07 % (15414)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 28.99/4.07 % (15414)Termination reason: Unknown
% 28.99/4.07 % (15414)Termination phase: Saturation
% 28.99/4.07
% 28.99/4.07 % (15414)Memory used [KB]: 7036
% 28.99/4.07 % (15414)Time elapsed: 0.204 s
% 28.99/4.07 % (15414)Instructions burned: 580 (million)
% 28.99/4.07 % (15414)------------------------------
% 28.99/4.07 % (15414)------------------------------
% 28.99/4.07 % (15415)Instruction limit reached!
% 28.99/4.07 % (15415)------------------------------
% 28.99/4.07 % (15415)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 28.99/4.07 % (15418)lrs+10_1:1_au=on:erd=off:s2a=on:s2at=3.0:sos=all:i=1174:si=on:rtra=on_0 on Vampire---4 for (2963ds/1174Mi)
% 28.99/4.07 % (15415)Termination reason: Unknown
% 28.99/4.07 % (15415)Termination phase: Saturation
% 28.99/4.07
% 28.99/4.07 % (15415)Memory used [KB]: 6780
% 28.99/4.07 % (15415)Time elapsed: 0.131 s
% 28.99/4.07 % (15415)Instructions burned: 645 (million)
% 28.99/4.07 % (15415)------------------------------
% 28.99/4.07 % (15415)------------------------------
% 28.99/4.08 % (15419)ott+1010_1:32_apa=on:atotf=0.3:au=on:c=on:cnfonf=off:fe=off:fsr=off:nm=6:piset=or:sac=on:sos=on:i=644:si=on:rtra=on_0 on Vampire---4 for (2963ds/644Mi)
% 28.99/4.08 % (15420)lrs+10_1:1_alpa=true:au=on:cs=on:tgt=ground:i=1201:si=on:rtra=on_0 on Vampire---4 for (2963ds/1201Mi)
% 28.99/4.09 % (15403)Instruction limit reached!
% 28.99/4.09 % (15403)------------------------------
% 28.99/4.09 % (15403)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 28.99/4.09 % (15403)Termination reason: Unknown
% 28.99/4.09 % (15403)Termination phase: Saturation
% 28.99/4.09
% 28.99/4.09 % (15403)Memory used [KB]: 7164
% 28.99/4.09 % (15403)Time elapsed: 0.586 s
% 28.99/4.09 % (15403)Instructions burned: 1670 (million)
% 28.99/4.09 % (15403)------------------------------
% 28.99/4.09 % (15403)------------------------------
% 28.99/4.10 % (15421)lrs+1666_1:64_cnfonf=lazy_simp:hud=5:plsq=on:plsql=on:plsqr=152565,524288:tnu=2:i=1046:si=on:rtra=on_0 on Vampire---4 for (2962ds/1046Mi)
% 29.30/4.21 % (15359)Instruction limit reached!
% 29.30/4.21 % (15359)------------------------------
% 29.30/4.21 % (15359)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 29.30/4.21 % (15359)Termination reason: Unknown
% 29.30/4.21 % (15359)Termination phase: Saturation
% 29.30/4.21
% 29.30/4.21 % (15359)Memory used [KB]: 17270
% 29.30/4.21 % (15359)Time elapsed: 2.478 s
% 29.30/4.21 % (15359)Instructions burned: 8250 (million)
% 29.30/4.21 % (15359)------------------------------
% 29.30/4.21 % (15359)------------------------------
% 29.30/4.21 % (15419)Instruction limit reached!
% 29.30/4.21 % (15419)------------------------------
% 29.30/4.21 % (15419)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 29.30/4.21 % (15419)Termination reason: Unknown
% 29.30/4.21 % (15419)Termination phase: Saturation
% 29.30/4.21
% 29.30/4.21 % (15419)Memory used [KB]: 6908
% 29.30/4.21 % (15419)Time elapsed: 0.132 s
% 29.30/4.21 % (15419)Instructions burned: 644 (million)
% 29.30/4.21 % (15419)------------------------------
% 29.30/4.21 % (15419)------------------------------
% 29.74/4.22 % (15423)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=68:si=on:rtra=on_0 on Vampire---4 for (2961ds/68Mi)
% 29.74/4.23 % (15422)lrs+1010_1:1_c=on:cnfonf=lazy_simp:fsr=off:hud=5:kws=arity:nm=32:plsq=on:plsqc=1:plsqr=642,29:prag=on:i=222:si=on:rtra=on_0 on Vampire---4 for (2961ds/222Mi)
% 29.74/4.24 % (15423)Instruction limit reached!
% 29.74/4.24 % (15423)------------------------------
% 29.74/4.24 % (15423)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 29.74/4.24 % (15423)Termination reason: Unknown
% 29.74/4.24 % (15423)Termination phase: Function definition elimination
% 29.74/4.24
% 29.74/4.24 % (15423)Memory used [KB]: 1791
% 29.74/4.24 % (15423)Time elapsed: 0.018 s
% 29.74/4.24 % (15423)Instructions burned: 70 (million)
% 29.74/4.24 % (15423)------------------------------
% 29.74/4.24 % (15423)------------------------------
% 29.74/4.24 % (15424)lrs+1010_1:1_chr=on:cnfonf=lazy_not_be_gen:gs=on:hud=5:plsq=on:plsqc=1:plsqr=5,1:prag=on:rawr=on:i=454:si=on:rtra=on_0 on Vampire---4 for (2961ds/454Mi)
% 29.74/4.26 % (15416)Instruction limit reached!
% 29.74/4.26 % (15416)------------------------------
% 29.74/4.26 % (15416)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 29.74/4.26 % (15416)Termination reason: Unknown
% 29.74/4.26 % (15416)Termination phase: Saturation
% 29.74/4.26
% 29.74/4.26 % (15416)Memory used [KB]: 6780
% 29.74/4.26 % (15416)Time elapsed: 0.209 s
% 29.74/4.26 % (15416)Instructions burned: 866 (million)
% 29.74/4.26 % (15416)------------------------------
% 29.74/4.26 % (15416)------------------------------
% 29.91/4.28 % (15425)dis+1002_1:1_cnfonf=lazy_simp:hud=5:plsq=on:plsqc=1:plsqr=32,1:prag=on:i=360:si=on:rtra=on_0 on Vampire---4 for (2961ds/360Mi)
% 29.91/4.30 % (15371)Instruction limit reached!
% 29.91/4.30 % (15371)------------------------------
% 29.91/4.30 % (15371)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 29.91/4.31 % (15371)Termination reason: Unknown
% 29.91/4.31 % (15371)Termination phase: Saturation
% 29.91/4.31
% 29.91/4.31 % (15371)Memory used [KB]: 9466
% 29.91/4.31 % (15371)Time elapsed: 1.793 s
% 29.91/4.31 % (15371)Instructions burned: 5413 (million)
% 29.91/4.31 % (15371)------------------------------
% 29.91/4.31 % (15371)------------------------------
% 29.91/4.31 % (15426)lrs+1002_1:16_amm=sco:cnfonf=lazy_pi_sigma_gen:fe=off:nm=60:piset=all_but_not_eq:plsq=on:plsqc=1:plsqr=2,1:rawr=on:sp=occurrence:ss=included:st=-1.0:i=157:si=on:rtra=on_0 on Vampire---4 for (2960ds/157Mi)
% 29.91/4.32 % (15422)Instruction limit reached!
% 29.91/4.32 % (15422)------------------------------
% 29.91/4.32 % (15422)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 29.91/4.32 % (15422)Termination reason: Unknown
% 29.91/4.32 % (15422)Termination phase: Saturation
% 29.91/4.32
% 29.91/4.32 % (15422)Memory used [KB]: 6396
% 29.91/4.32 % (15422)Time elapsed: 0.073 s
% 29.91/4.32 % (15422)Instructions burned: 223 (million)
% 29.91/4.32 % (15422)------------------------------
% 29.91/4.32 % (15422)------------------------------
% 29.91/4.34 % (15424)Instruction limit reached!
% 29.91/4.34 % (15424)------------------------------
% 29.91/4.34 % (15424)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 29.91/4.34 % (15424)Termination reason: Unknown
% 29.91/4.34 % (15424)Termination phase: Saturation
% 29.91/4.34
% 29.91/4.34 % (15424)Memory used [KB]: 11001
% 29.91/4.34 % (15424)Time elapsed: 0.094 s
% 29.91/4.34 % (15424)Instructions burned: 456 (million)
% 29.91/4.34 % (15424)------------------------------
% 29.91/4.34 % (15424)------------------------------
% 29.91/4.34 % (15427)ott+1004_1:24_anc=none:cbe=off:cnfonf=lazy_not_gen:fe=off:piset=not:prag=on:rp=on:i=5061:si=on:rtra=on_0 on Vampire---4 for (2960ds/5061Mi)
% 29.91/4.35 % (15428)lrs+1002_1:8_av=off:fd=off:hud=5:tnu=1:i=2401:si=on:rtra=on_0 on Vampire---4 for (2960ds/2401Mi)
% 30.20/4.36 % (15426)Instruction limit reached!
% 30.20/4.36 % (15426)------------------------------
% 30.20/4.36 % (15426)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 30.20/4.36 % (15426)Termination reason: Unknown
% 30.20/4.36 % (15426)Termination phase: Property scanning
% 30.20/4.36
% 30.20/4.36 % (15426)Memory used [KB]: 1791
% 30.20/4.36 % (15426)Time elapsed: 0.037 s
% 30.20/4.36 % (15426)Instructions burned: 161 (million)
% 30.20/4.36 % (15426)------------------------------
% 30.20/4.36 % (15426)------------------------------
% 30.20/4.36 % (15429)dis+10_1:1_av=off:e2e=on:nm=4:s2a=on:i=5798:si=on:rtra=on_0 on Vampire---4 for (2960ds/5798Mi)
% 30.26/4.38 % (15425)Instruction limit reached!
% 30.26/4.38 % (15425)------------------------------
% 30.26/4.38 % (15425)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 30.26/4.38 % (15425)Termination reason: Unknown
% 30.26/4.38 % (15425)Termination phase: Saturation
% 30.26/4.38
% 30.26/4.38 % (15425)Memory used [KB]: 6396
% 30.26/4.38 % (15425)Time elapsed: 0.103 s
% 30.26/4.38 % (15425)Instructions burned: 363 (million)
% 30.26/4.38 % (15425)------------------------------
% 30.26/4.38 % (15425)------------------------------
% 30.26/4.39 % (15430)dis+10_1:1_au=on:cnfonf=lazy_gen:ixr=off:plsq=on:plsqc=1:plsqr=32,1:i=346:si=on:rtra=on_0 on Vampire---4 for (2960ds/346Mi)
% 30.42/4.43 % (15420)Instruction limit reached!
% 30.42/4.43 % (15420)------------------------------
% 30.42/4.43 % (15420)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 30.42/4.43 % (15420)Termination reason: Unknown
% 30.42/4.43 % (15420)Termination phase: Saturation
% 30.42/4.43
% 30.42/4.43 % (15420)Memory used [KB]: 12665
% 30.42/4.43 % (15420)Time elapsed: 0.353 s
% 30.42/4.43 % (15420)Instructions burned: 1204 (million)
% 30.42/4.43 % (15420)------------------------------
% 30.42/4.43 % (15420)------------------------------
% 30.80/4.44 % (15431)lrs+1002_1:1_av=off:bd=off:bet=on:e2e=on:fde=unused:fe=off:plsq=on:prag=on:sos=on:i=1321:si=on:rtra=on_0 on Vampire---4 for (2959ds/1321Mi)
% 30.80/4.45 % (15418)Instruction limit reached!
% 30.80/4.45 % (15418)------------------------------
% 30.80/4.45 % (15418)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 30.80/4.45 % (15418)Termination reason: Unknown
% 30.80/4.45 % (15418)Termination phase: Saturation
% 30.80/4.45
% 30.80/4.45 % (15418)Memory used [KB]: 6908
% 30.80/4.45 % (15418)Time elapsed: 0.372 s
% 30.80/4.45 % (15418)Instructions burned: 1174 (million)
% 30.80/4.45 % (15418)------------------------------
% 30.80/4.45 % (15418)------------------------------
% 30.80/4.45 % (15421)Instruction limit reached!
% 30.80/4.45 % (15421)------------------------------
% 30.80/4.45 % (15421)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 30.80/4.45 % (15421)Termination reason: Unknown
% 30.80/4.45 % (15421)Termination phase: Saturation
% 30.80/4.45
% 30.80/4.45 % (15421)Memory used [KB]: 6908
% 30.80/4.45 % (15421)Time elapsed: 0.347 s
% 30.80/4.45 % (15421)Instructions burned: 1048 (million)
% 30.80/4.45 % (15421)------------------------------
% 30.80/4.45 % (15421)------------------------------
% 30.80/4.46 % (15432)lrs+10_1:1_cnfonf=lazy_gen:kws=inv_precedence:nwc=10.0:i=1312:si=on:rtra=on_0 on Vampire---4 for (2959ds/1312Mi)
% 30.80/4.46 % (15430)Instruction limit reached!
% 30.80/4.46 % (15430)------------------------------
% 30.80/4.46 % (15430)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 30.80/4.46 % (15430)Termination reason: Unknown
% 30.80/4.46 % (15430)Termination phase: Saturation
% 30.80/4.46
% 30.80/4.46 % (15430)Memory used [KB]: 6396
% 30.80/4.46 % (15430)Time elapsed: 0.073 s
% 30.80/4.46 % (15430)Instructions burned: 349 (million)
% 30.80/4.46 % (15430)------------------------------
% 30.80/4.46 % (15430)------------------------------
% 30.80/4.46 % (15433)ott+2_8:1_add=large:c=on:cnfonf=off:e2e=on:er=filter:hud=5:plsq=on:plsqr=1,1:ss=axioms:i=672:si=on:rtra=on_0 on Vampire---4 for (2959ds/672Mi)
% 30.80/4.46 % (15431)Refutation not found, incomplete strategy
% 30.80/4.46 % (15431)------------------------------
% 30.80/4.46 % (15431)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 30.80/4.46 % (15431)Termination reason: Refutation not found, incomplete strategy
% 30.80/4.46
% 30.80/4.46
% 30.80/4.46 % (15431)Memory used [KB]: 1791
% 30.80/4.46 % (15431)Time elapsed: 0.022 s
% 30.80/4.46 % (15431)Instructions burned: 69 (million)
% 30.80/4.46 % (15431)------------------------------
% 30.80/4.46 % (15431)------------------------------
% 30.80/4.47 % (15434)dis+10_1:1_au=on:c=on:e2e=on:fsr=off:sos=all:sp=const_frequency:ss=axioms:i=1897:si=on:rtra=on_0 on Vampire---4 for (2959ds/1897Mi)
% 30.80/4.47 % (15435)lrs+10_1:40_av=off:fde=unused:ntd=on:plsq=on:plsqc=2:plsqr=411915,1048576:sp=unary_frequency:tgt=full:i=1202:si=on:rtra=on_0 on Vampire---4 for (2959ds/1202Mi)
% 34.11/4.75 % (15433)Instruction limit reached!
% 34.11/4.75 % (15433)------------------------------
% 34.11/4.75 % (15433)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 34.11/4.75 % (15433)Termination reason: Unknown
% 34.11/4.75 % (15433)Termination phase: Saturation
% 34.11/4.75
% 34.11/4.75 % (15433)Memory used [KB]: 8059
% 34.11/4.75 % (15433)Time elapsed: 0.313 s
% 34.11/4.75 % (15433)Instructions burned: 672 (million)
% 34.11/4.75 % (15433)------------------------------
% 34.11/4.75 % (15433)------------------------------
% 34.11/4.77 % (15436)dis+21_1:1_au=on:cnfonf=lazy_pi_sigma_gen:hfsq=on:hfsqc=40:hfsqr=8,1:ntd=on:sos=on:sp=occurrence:ss=axioms:i=1493:si=on:rtra=on_0 on Vampire---4 for (2956ds/1493Mi)
% 34.70/4.81 % (15435)Instruction limit reached!
% 34.70/4.81 % (15435)------------------------------
% 34.70/4.81 % (15435)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 34.70/4.81 % (15435)Termination reason: Unknown
% 34.70/4.81 % (15435)Termination phase: Saturation
% 34.70/4.81
% 34.70/4.81 % (15435)Memory used [KB]: 3070
% 34.70/4.81 % (15435)Time elapsed: 0.363 s
% 34.70/4.81 % (15435)Instructions burned: 1202 (million)
% 34.70/4.81 % (15435)------------------------------
% 34.70/4.81 % (15435)------------------------------
% 34.70/4.82 % (15437)dis+1010_3:1_av=off:fde=unused:hud=10:nwc=10.0:s2a=on:ss=axioms:i=7679:si=on:rtra=on_0 on Vampire---4 for (2955ds/7679Mi)
% 34.70/4.86 % (15428)Instruction limit reached!
% 34.70/4.86 % (15428)------------------------------
% 34.70/4.86 % (15428)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 34.70/4.86 % (15428)Termination reason: Unknown
% 34.70/4.86 % (15428)Termination phase: Saturation
% 34.70/4.86
% 34.70/4.86 % (15428)Memory used [KB]: 2302
% 34.70/4.86 % (15428)Time elapsed: 0.503 s
% 34.70/4.86 % (15428)Instructions burned: 2404 (million)
% 34.70/4.86 % (15428)------------------------------
% 34.70/4.86 % (15428)------------------------------
% 34.70/4.87 % (15438)lrs+2_1:1024_anc=all:cnfonf=off:cs=on:e2e=on:nm=20:s2at=1.5:slsq=on:slsqr=1,2:spb=goal:i=340:si=on:rtra=on_0 on Vampire---4 for (2955ds/340Mi)
% 35.14/4.88 % (15432)Instruction limit reached!
% 35.14/4.88 % (15432)------------------------------
% 35.14/4.88 % (15432)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 35.14/4.88 % (15432)Termination reason: Unknown
% 35.14/4.88 % (15432)Termination phase: Saturation
% 35.14/4.88
% 35.14/4.88 % (15432)Memory used [KB]: 7164
% 35.14/4.88 % (15432)Time elapsed: 0.444 s
% 35.14/4.88 % (15432)Instructions burned: 1313 (million)
% 35.14/4.88 % (15432)------------------------------
% 35.14/4.88 % (15432)------------------------------
% 35.14/4.90 % (15439)dis+1002_1:1_acc=model:au=on:nwc=5.0:sd=5:ss=axioms:st=2.5:i=3672:si=on:rtra=on_0 on Vampire---4 for (2955ds/3672Mi)
% 35.14/4.93 % (15434)Instruction limit reached!
% 35.14/4.93 % (15434)------------------------------
% 35.14/4.93 % (15434)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 35.14/4.93 % (15434)Termination reason: Unknown
% 35.14/4.93 % (15434)Termination phase: Saturation
% 35.14/4.93
% 35.14/4.93 % (15434)Memory used [KB]: 7675
% 35.14/4.93 % (15434)Time elapsed: 0.460 s
% 35.14/4.93 % (15434)Instructions burned: 1899 (million)
% 35.14/4.93 % (15434)------------------------------
% 35.14/4.93 % (15434)------------------------------
% 35.14/4.93 % (15440)dis-1002_3:1_acc=model:bd=off:bsd=on:bsdmm=1:cnfonf=lazy_not_be_gen:fd=off:fe=off:ntd=on:nwc=10.0:piset=equals:plsq=on:plsqc=1:plsqr=32,1:sp=const_max:uhcvi=on:i=1535:si=on:rtra=on_0 on Vampire---4 for (2954ds/1535Mi)
% 35.14/4.94 % (15438)Instruction limit reached!
% 35.14/4.94 % (15438)------------------------------
% 35.14/4.94 % (15438)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 35.14/4.94 % (15438)Termination reason: Unknown
% 35.14/4.94 % (15438)Termination phase: Saturation
% 35.14/4.94
% 35.14/4.94 % (15438)Memory used [KB]: 6524
% 35.14/4.94 % (15438)Time elapsed: 0.073 s
% 35.14/4.94 % (15438)Instructions burned: 340 (million)
% 35.14/4.94 % (15438)------------------------------
% 35.14/4.94 % (15438)------------------------------
% 35.14/4.95 % (15441)dis+10_16:1_hud=1:plsq=on:plsqc=1:plsqr=32,1:prag=on:sd=1:sgt=64:ss=axioms:i=4637:si=on:rtra=on_0 on Vampire---4 for (2954ds/4637Mi)
% 37.79/5.23 % (15440)Instruction limit reached!
% 37.79/5.23 % (15440)------------------------------
% 37.79/5.23 % (15440)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 37.79/5.23 % (15440)Termination reason: Unknown
% 37.79/5.23 % (15440)Termination phase: Saturation
% 37.79/5.23
% 37.79/5.23 % (15440)Memory used [KB]: 8827
% 37.79/5.23 % (15440)Time elapsed: 0.301 s
% 37.79/5.23 % (15440)Instructions burned: 1536 (million)
% 37.79/5.23 % (15440)------------------------------
% 37.79/5.23 % (15440)------------------------------
% 37.79/5.24 % (15442)lrs+10_1:1_fde=unused:prag=on:sd=2:sgt=32:ss=axioms:i=3174:si=on:rtra=on_0 on Vampire---4 for (2951ds/3174Mi)
% 38.70/5.40 % (15436)Instruction limit reached!
% 38.70/5.40 % (15436)------------------------------
% 38.70/5.40 % (15436)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 38.70/5.40 % (15436)Termination reason: Unknown
% 38.70/5.40 % (15436)Termination phase: Saturation
% 38.70/5.40
% 38.70/5.40 % (15436)Memory used [KB]: 7036
% 38.70/5.40 % (15436)Time elapsed: 0.655 s
% 38.70/5.40 % (15436)Instructions burned: 1493 (million)
% 38.70/5.40 % (15436)------------------------------
% 38.70/5.40 % (15436)------------------------------
% 39.37/5.42 % (15443)lrs+1010_1:10_au=on:bd=off:cnfonf=lazy_pi_sigma_gen:sp=occurrence:i=307:si=on:rtra=on_0 on Vampire---4 for (2949ds/307Mi)
% 39.37/5.45 % (15429)Instruction limit reached!
% 39.37/5.45 % (15429)------------------------------
% 39.37/5.45 % (15429)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 39.37/5.45 % (15429)Termination reason: Unknown
% 39.37/5.45 % (15429)Termination phase: Saturation
% 39.37/5.45
% 39.37/5.45 % (15429)Memory used [KB]: 2430
% 39.37/5.45 % (15429)Time elapsed: 1.084 s
% 39.37/5.45 % (15429)Instructions burned: 5802 (million)
% 39.37/5.45 % (15429)------------------------------
% 39.37/5.45 % (15429)------------------------------
% 39.37/5.46 % (15444)dis+1002_5:1_au=on:bd=off:e2e=on:fde=none:fs=off:fsr=off:sos=on:i=3619:si=on:rtra=on_0 on Vampire---4 for (2949ds/3619Mi)
% 39.37/5.47 % (15444)Refutation not found, incomplete strategy
% 39.37/5.47 % (15444)------------------------------
% 39.37/5.47 % (15444)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 39.37/5.47 % (15444)Termination reason: Refutation not found, incomplete strategy
% 39.37/5.47
% 39.37/5.47
% 39.37/5.47 % (15444)Memory used [KB]: 6268
% 39.37/5.47 % (15444)Time elapsed: 0.020 s
% 39.37/5.47 % (15444)Instructions burned: 68 (million)
% 39.37/5.47 % (15444)------------------------------
% 39.37/5.47 % (15444)------------------------------
% 39.37/5.48 % (15445)lrs+1002_1:1_au=on:cbe=off:fde=none:ins=1:sp=const_max:i=2325:si=on:rtra=on_0 on Vampire---4 for (2949ds/2325Mi)
% 39.85/5.51 % (15443)Instruction limit reached!
% 39.85/5.51 % (15443)------------------------------
% 39.85/5.51 % (15443)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 39.85/5.51 % (15443)Termination reason: Unknown
% 39.85/5.51 % (15443)Termination phase: Saturation
% 39.85/5.51
% 39.85/5.51 % (15443)Memory used [KB]: 6396
% 39.85/5.51 % (15443)Time elapsed: 0.067 s
% 39.85/5.51 % (15443)Instructions burned: 309 (million)
% 39.85/5.51 % (15443)------------------------------
% 39.85/5.51 % (15443)------------------------------
% 39.85/5.51 % (15407)Instruction limit reached!
% 39.85/5.51 % (15407)------------------------------
% 39.85/5.51 % (15407)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 39.85/5.51 % (15407)Termination reason: Unknown
% 39.85/5.51 % (15407)Termination phase: Saturation
% 39.85/5.51
% 39.85/5.51 % (15407)Memory used [KB]: 7036
% 39.85/5.51 % (15407)Time elapsed: 1.865 s
% 39.85/5.51 % (15407)Instructions burned: 6456 (million)
% 39.85/5.51 % (15407)------------------------------
% 39.85/5.51 % (15407)------------------------------
% 39.85/5.51 % (15446)dis+1002_1:1_au=on:sac=on:sd=5:slsq=on:slsqr=1,4:ss=axioms:st=2.0:i=2341:si=on:rtra=on_0 on Vampire---4 for (2948ds/2341Mi)
% 39.85/5.53 % (15448)lrs+1010_1:16_apa=on:bsd=on:cnfonf=off:hud=10:sac=on:sos=on:ss=axioms:i=7257:si=on:rtra=on_0 on Vampire---4 for (2948ds/7257Mi)
% 42.67/5.85 % (15427)Instruction limit reached!
% 42.67/5.85 % (15427)------------------------------
% 42.67/5.85 % (15427)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 42.67/5.85 % (15427)Termination reason: Unknown
% 42.67/5.85 % (15427)Termination phase: Saturation
% 42.67/5.85
% 42.67/5.85 % (15427)Memory used [KB]: 7164
% 42.67/5.85 % (15427)Time elapsed: 1.510 s
% 42.67/5.85 % (15427)Instructions burned: 5061 (million)
% 42.67/5.85 % (15427)------------------------------
% 42.67/5.85 % (15427)------------------------------
% 42.67/5.86 % (15449)ott+1010_1:1_cnfonf=lazy_gen:fe=off:plsq=on:plsqc=1:plsqr=3548551,65536:s2a=on:i=3710:si=on:rtra=on_0 on Vampire---4 for (2945ds/3710Mi)
% 43.21/5.95 % (15446)Instruction limit reached!
% 43.21/5.95 % (15446)------------------------------
% 43.21/5.95 % (15446)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 43.21/5.95 % (15446)Termination reason: Unknown
% 43.21/5.95 % (15446)Termination phase: Saturation
% 43.21/5.95
% 43.21/5.95 % (15446)Memory used [KB]: 6780
% 43.21/5.95 % (15446)Time elapsed: 0.442 s
% 43.21/5.95 % (15446)Instructions burned: 2345 (million)
% 43.21/5.95 % (15446)------------------------------
% 43.21/5.95 % (15446)------------------------------
% 43.21/5.96 % (15450)lrs+1010_1:1_avsq=on:avsqr=1,16:kws=inv_arity:nwc=5.0:sd=1:ss=axioms:i=326:si=on:rtra=on_0 on Vampire---4 for (2944ds/326Mi)
% 43.90/6.01 % (15439)Instruction limit reached!
% 43.90/6.01 % (15439)------------------------------
% 43.90/6.01 % (15439)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 43.90/6.01 % (15439)Termination reason: Unknown
% 43.90/6.01 % (15439)Termination phase: Saturation
% 43.90/6.01
% 43.90/6.01 % (15439)Memory used [KB]: 6780
% 43.90/6.01 % (15439)Time elapsed: 1.115 s
% 43.90/6.01 % (15439)Instructions burned: 3673 (million)
% 43.90/6.01 % (15439)------------------------------
% 43.90/6.01 % (15439)------------------------------
% 44.08/6.02 % (15441)Instruction limit reached!
% 44.08/6.02 % (15441)------------------------------
% 44.08/6.02 % (15441)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 44.08/6.02 % (15441)Termination reason: Unknown
% 44.08/6.02 % (15441)Termination phase: Saturation
% 44.08/6.02
% 44.08/6.02 % (15441)Memory used [KB]: 6908
% 44.08/6.02 % (15441)Time elapsed: 1.048 s
% 44.08/6.02 % (15441)Instructions burned: 4639 (million)
% 44.08/6.02 % (15441)------------------------------
% 44.08/6.02 % (15441)------------------------------
% 44.08/6.02 % (15451)lrs+1010_1:64_au=on:c=on:e2e=on:flr=on:hfsq=on:hfsql=off:hfsqr=4,1:ins=1:ntd=on:sp=occurrence:i=1100:si=on:rtra=on_0 on Vampire---4 for (2943ds/1100Mi)
% 44.14/6.03 % (15452)lrs+10_1:1_au=on:cnfonf=off:fde=unused:kws=precedence:tgt=full:i=406:si=on:rtra=on_0 on Vampire---4 for (2943ds/406Mi)
% 44.14/6.04 % (15450)Instruction limit reached!
% 44.14/6.04 % (15450)------------------------------
% 44.14/6.04 % (15450)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 44.14/6.04 % (15450)Termination reason: Unknown
% 44.14/6.04 % (15450)Termination phase: Saturation
% 44.14/6.04
% 44.14/6.04 % (15450)Memory used [KB]: 6396
% 44.14/6.04 % (15450)Time elapsed: 0.081 s
% 44.14/6.04 % (15450)Instructions burned: 328 (million)
% 44.14/6.04 % (15450)------------------------------
% 44.14/6.04 % (15450)------------------------------
% 44.14/6.05 % (15453)dis+1010_1:1_aac=none:bd=preordered:e2e=on:fde=none:fe=axiom:nm=16:nwc=10.0:prag=on:i=1871:si=on:rtra=on_0 on Vampire---4 for (2943ds/1871Mi)
% 44.55/6.16 % (15452)Instruction limit reached!
% 44.55/6.16 % (15452)------------------------------
% 44.55/6.16 % (15452)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 44.55/6.16 % (15452)Termination reason: Unknown
% 44.55/6.16 % (15452)Termination phase: Saturation
% 44.55/6.16
% 44.55/6.16 % (15452)Memory used [KB]: 7803
% 44.55/6.16 % (15452)Time elapsed: 0.130 s
% 44.55/6.16 % (15452)Instructions burned: 408 (million)
% 44.55/6.16 % (15452)------------------------------
% 44.55/6.16 % (15452)------------------------------
% 44.55/6.16 % (15454)dis+2_1:1_bd=off:e2e=on:hud=1:nm=3:piset=or:prag=on:s2a=on:sp=const_max:i=1194:si=on:rtra=on_0 on Vampire---4 for (2942ds/1194Mi)
% 46.89/6.38 % (15451)Instruction limit reached!
% 46.89/6.38 % (15451)------------------------------
% 46.89/6.38 % (15451)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 46.89/6.38 % (15451)Termination reason: Unknown
% 46.89/6.38 % (15451)Termination phase: Saturation
% 46.89/6.38
% 46.89/6.38 % (15451)Memory used [KB]: 7164
% 46.89/6.38 % (15451)Time elapsed: 0.359 s
% 46.89/6.38 % (15451)Instructions burned: 1103 (million)
% 46.89/6.38 % (15451)------------------------------
% 46.89/6.38 % (15451)------------------------------
% 46.89/6.40 % (15455)dis+10_1:1024_aac=none:au=on:cnfonf=lazy_gen:plsq=on:plsqc=1:plsqr=32,1:spb=goal_then_units:i=474:si=on:rtra=on_0 on Vampire---4 for (2940ds/474Mi)
% 46.89/6.40 % (15454)Instruction limit reached!
% 46.89/6.40 % (15454)------------------------------
% 46.89/6.40 % (15454)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 46.89/6.40 % (15454)Termination reason: Unknown
% 46.89/6.40 % (15454)Termination phase: Saturation
% 46.89/6.40
% 46.89/6.40 % (15454)Memory used [KB]: 6908
% 46.89/6.40 % (15454)Time elapsed: 0.233 s
% 46.89/6.40 % (15454)Instructions burned: 1198 (million)
% 46.89/6.40 % (15454)------------------------------
% 46.89/6.40 % (15454)------------------------------
% 46.89/6.40 % (15456)dis+1010_1:1_au=on:cnfonf=lazy_gen:ins=3:plsq=on:plsqc=1:plsqr=15142123,262144:sp=reverse_arity:i=3115:si=on:rtra=on_0 on Vampire---4 for (2939ds/3115Mi)
% 47.39/6.41 % (15445)Instruction limit reached!
% 47.39/6.41 % (15445)------------------------------
% 47.39/6.41 % (15445)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 47.39/6.41 % (15445)Termination reason: Unknown
% 47.39/6.41 % (15445)Termination phase: Saturation
% 47.39/6.41
% 47.39/6.41 % (15445)Memory used [KB]: 12920
% 47.39/6.41 % (15445)Time elapsed: 0.928 s
% 47.39/6.41 % (15445)Instructions burned: 2327 (million)
% 47.39/6.41 % (15445)------------------------------
% 47.39/6.41 % (15445)------------------------------
% 47.39/6.42 % (15457)dis+10_1:1024_kws=precedence:prag=on:rawr=on:sos=all:sp=unary_first:i=831:si=on:rtra=on_0 on Vampire---4 for (2939ds/831Mi)
% 48.12/6.56 % (15455)Instruction limit reached!
% 48.12/6.56 % (15455)------------------------------
% 48.12/6.56 % (15455)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 48.12/6.56 % (15455)Termination reason: Unknown
% 48.12/6.56 % (15455)Termination phase: Saturation
% 48.12/6.56
% 48.12/6.56 % (15455)Memory used [KB]: 6780
% 48.12/6.56 % (15455)Time elapsed: 0.165 s
% 48.12/6.56 % (15455)Instructions burned: 475 (million)
% 48.12/6.56 % (15455)------------------------------
% 48.12/6.56 % (15455)------------------------------
% 48.12/6.56 % (15442)Instruction limit reached!
% 48.12/6.56 % (15442)------------------------------
% 48.12/6.56 % (15442)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 48.12/6.56 % (15442)Termination reason: Unknown
% 48.12/6.56 % (15442)Termination phase: Saturation
% 48.12/6.56
% 48.12/6.56 % (15442)Memory used [KB]: 14328
% 48.12/6.56 % (15442)Time elapsed: 1.316 s
% 48.12/6.56 % (15442)Instructions burned: 3175 (million)
% 48.12/6.56 % (15442)------------------------------
% 48.12/6.56 % (15442)------------------------------
% 48.12/6.57 % (15458)dis+1666_14:1_cnfonf=lazy_gen:fe=off:hud=10:piset=all_but_not_eq:prag=on:sp=const_max:i=1188:si=on:rtra=on_0 on Vampire---4 for (2938ds/1188Mi)
% 48.12/6.57 % (15459)ott+1010_1:20_cnfonf=lazy_pi_sigma_gen:fe=axiom:plsq=on:plsqc=2:plsqr=32,1:sac=on:sos=all:i=2868:si=on:rtra=on_0 on Vampire---4 for (2938ds/2868Mi)
% 48.12/6.58 % (15453)Instruction limit reached!
% 48.12/6.58 % (15453)------------------------------
% 48.12/6.58 % (15453)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 48.12/6.58 % (15453)Termination reason: Unknown
% 48.12/6.58 % (15453)Termination phase: Saturation
% 48.12/6.58
% 48.12/6.58 % (15453)Memory used [KB]: 10874
% 48.12/6.58 % (15453)Time elapsed: 0.530 s
% 48.12/6.58 % (15453)Instructions burned: 1872 (million)
% 48.12/6.58 % (15453)------------------------------
% 48.12/6.58 % (15453)------------------------------
% 48.47/6.59 % (15460)dis+10_1:4_atotf=0.1:avsq=on:bsr=unit_only:e2e=on:sd=1:sp=const_max:ss=axioms:i=1516:si=on:rtra=on_0 on Vampire---4 for (2938ds/1516Mi)
% 48.64/6.70 % (15457)Instruction limit reached!
% 48.64/6.70 % (15457)------------------------------
% 48.64/6.70 % (15457)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 48.64/6.70 % (15457)Termination reason: Unknown
% 48.64/6.70 % (15457)Termination phase: Saturation
% 48.64/6.70
% 48.64/6.70 % (15457)Memory used [KB]: 6908
% 48.64/6.70 % (15457)Time elapsed: 0.273 s
% 48.64/6.70 % (15457)Instructions burned: 833 (million)
% 48.64/6.70 % (15457)------------------------------
% 48.64/6.70 % (15457)------------------------------
% 49.11/6.71 % (15461)lrs+1002_1:20_afp=1000:au=on:bsd=on:cnfonf=lazy_not_gen_be_off:sos=all:sp=const_max:i=2321:si=on:rtra=on_0 on Vampire---4 for (2936ds/2321Mi)
% 51.33/6.94 % (15437)Instruction limit reached!
% 51.33/6.94 % (15437)------------------------------
% 51.33/6.94 % (15437)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 51.33/6.94 % (15437)Termination reason: Unknown
% 51.33/6.94 % (15437)Termination phase: Saturation
% 51.33/6.94
% 51.33/6.94 % (15437)Memory used [KB]: 10746
% 51.33/6.94 % (15437)Time elapsed: 2.142 s
% 51.33/6.94 % (15437)Instructions burned: 7679 (million)
% 51.33/6.94 % (15437)------------------------------
% 51.33/6.94 % (15437)------------------------------
% 51.69/6.95 % (15462)dis+1010_1:1_au=on:bd=off:bsd=on:ixr=off:sp=const_max:i=2812:si=on:rtra=on_0 on Vampire---4 for (2934ds/2812Mi)
% 51.69/6.95 % (15460)Instruction limit reached!
% 51.69/6.95 % (15460)------------------------------
% 51.69/6.95 % (15460)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 51.69/6.95 % (15460)Termination reason: Unknown
% 51.69/6.95 % (15460)Termination phase: Saturation
% 51.69/6.95
% 51.69/6.95 % (15460)Memory used [KB]: 7547
% 51.69/6.95 % (15460)Time elapsed: 0.369 s
% 51.69/6.95 % (15460)Instructions burned: 1518 (million)
% 51.69/6.95 % (15460)------------------------------
% 51.69/6.95 % (15460)------------------------------
% 51.69/6.96 % (15463)dis+1002_8:1_bd=off:sd=1:sgt=16:ss=axioms:i=4604:si=on:rtra=on_0 on Vampire---4 for (2934ds/4604Mi)
% 51.69/7.00 % (15458)Instruction limit reached!
% 51.69/7.00 % (15458)------------------------------
% 51.69/7.00 % (15458)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 51.69/7.00 % (15458)Termination reason: Unknown
% 51.69/7.00 % (15458)Termination phase: Saturation
% 51.69/7.00
% 51.69/7.00 % (15458)Memory used [KB]: 8059
% 51.69/7.00 % (15458)Time elapsed: 0.455 s
% 51.69/7.00 % (15458)Instructions burned: 1189 (million)
% 51.69/7.00 % (15458)------------------------------
% 51.69/7.00 % (15458)------------------------------
% 51.69/7.03 % (15464)ott+1002_1:4_c=on:chr=on:cnfonf=lazy_not_be_gen:hud=10:nm=10:piset=all_but_not_eq:rp=on:spb=goal:uhcvi=on:i=2678:si=on:rtra=on_0 on Vampire---4 for (2933ds/2678Mi)
% 52.26/7.04 % (15456)Instruction limit reached!
% 52.26/7.04 % (15456)------------------------------
% 52.26/7.04 % (15456)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 52.26/7.04 % (15456)Termination reason: Unknown
% 52.26/7.04 % (15456)Termination phase: Saturation
% 52.26/7.04
% 52.26/7.04 % (15456)Memory used [KB]: 7931
% 52.26/7.04 % (15456)Time elapsed: 0.640 s
% 52.26/7.04 % (15456)Instructions burned: 3121 (million)
% 52.26/7.04 % (15456)------------------------------
% 52.26/7.04 % (15456)------------------------------
% 52.26/7.05 % (15465)dis+1010_1:4_avsq=on:avsqr=16,1:bet=on:cbe=off:cnfonf=lazy_not_be_gen:hud=5:plsq=on:plsqc=1:plsqr=32,1:prag=on:i=643:si=on:rtra=on_0 on Vampire---4 for (2933ds/643Mi)
% 52.69/7.18 % (15465)Instruction limit reached!
% 52.69/7.18 % (15465)------------------------------
% 52.69/7.18 % (15465)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 52.69/7.18 % (15465)Termination reason: Unknown
% 52.69/7.18 % (15465)Termination phase: Saturation
% 52.69/7.18
% 52.69/7.18 % (15465)Memory used [KB]: 6780
% 52.69/7.18 % (15465)Time elapsed: 0.130 s
% 52.69/7.18 % (15465)Instructions burned: 646 (million)
% 52.69/7.18 % (15465)------------------------------
% 52.69/7.18 % (15465)------------------------------
% 52.69/7.19 % (15467)lrs+1010_1:1_au=on:cbe=off:cnfonf=lazy_not_be_gen:ntd=on:pe=on:i=458:si=on:rtra=on_0 on Vampire---4 for (2931ds/458Mi)
% 53.20/7.28 % (15467)Instruction limit reached!
% 53.20/7.28 % (15467)------------------------------
% 53.20/7.28 % (15467)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 53.20/7.28 % (15467)Termination reason: Unknown
% 53.20/7.28 % (15467)Termination phase: Saturation
% 53.20/7.28
% 53.20/7.28 % (15467)Memory used [KB]: 6524
% 53.20/7.28 % (15467)Time elapsed: 0.095 s
% 53.20/7.28 % (15467)Instructions burned: 461 (million)
% 53.20/7.28 % (15467)------------------------------
% 53.20/7.28 % (15467)------------------------------
% 53.20/7.28 % (15449)Instruction limit reached!
% 53.20/7.28 % (15449)------------------------------
% 53.20/7.28 % (15449)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 53.20/7.28 % (15449)Termination reason: Unknown
% 53.20/7.28 % (15449)Termination phase: Saturation
% 53.20/7.28
% 53.20/7.28 % (15449)Memory used [KB]: 9083
% 53.20/7.28 % (15449)Time elapsed: 1.427 s
% 53.20/7.28 % (15449)Instructions burned: 3710 (million)
% 53.20/7.28 % (15449)------------------------------
% 53.20/7.28 % (15449)------------------------------
% 53.20/7.29 % (15468)lrs+1010_1:1_anc=all_dependent:apa=on:au=on:bd=off:c=on:cnfonf=off:ntd=on:i=2546:si=on:rtra=on_0 on Vampire---4 for (2930ds/2546Mi)
% 53.20/7.30 % (15469)dis+21_1:1_acc=model:au=on:cnfonf=lazy_gen:ins=2:plsq=on:plsqc=1:plsqr=32,1:i=1432:si=on:rtra=on_0 on Vampire---4 for (2930ds/1432Mi)
% 53.80/7.43 % (15461)Instruction limit reached!
% 53.80/7.43 % (15461)------------------------------
% 53.80/7.43 % (15461)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 53.80/7.43 % (15461)Termination reason: Unknown
% 53.80/7.43 % (15461)Termination phase: Saturation
% 53.80/7.43
% 53.80/7.43 % (15461)Memory used [KB]: 6908
% 53.80/7.43 % (15461)Time elapsed: 0.723 s
% 53.80/7.43 % (15461)Instructions burned: 2322 (million)
% 53.80/7.43 % (15461)------------------------------
% 53.80/7.43 % (15461)------------------------------
% 53.80/7.45 % (15470)dis+1002_1:1_cnfonf=lazy_not_gen:hud=10:plsq=on:plsqc=1:plsqr=32,1:prag=on:i=386:si=on:rtra=on_0 on Vampire---4 for (2929ds/386Mi)
% 55.80/7.47 % (15462)Instruction limit reached!
% 55.80/7.47 % (15462)------------------------------
% 55.80/7.47 % (15462)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 55.80/7.47 % (15462)Termination reason: Unknown
% 55.80/7.47 % (15462)Termination phase: Saturation
% 55.80/7.47
% 55.80/7.47 % (15462)Memory used [KB]: 6780
% 55.80/7.47 % (15462)Time elapsed: 0.528 s
% 55.80/7.47 % (15462)Instructions burned: 2815 (million)
% 55.80/7.47 % (15462)------------------------------
% 55.80/7.47 % (15462)------------------------------
% 55.80/7.48 % (15471)dis+1002_1:1_cnfonf=lazy_simp:hud=5:plsq=on:plsqc=1:plsqr=32,1:prag=on:i=360:si=on:rtra=on_0 on Vampire---4 for (2928ds/360Mi)
% 56.15/7.52 % (15459)Instruction limit reached!
% 56.15/7.52 % (15459)------------------------------
% 56.15/7.52 % (15459)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 56.15/7.52 % (15459)Termination reason: Unknown
% 56.15/7.52 % (15459)Termination phase: Saturation
% 56.15/7.52
% 56.15/7.52 % (15459)Memory used [KB]: 7036
% 56.15/7.52 % (15459)Time elapsed: 0.952 s
% 56.15/7.52 % (15459)Instructions burned: 2869 (million)
% 56.15/7.52 % (15459)------------------------------
% 56.15/7.52 % (15459)------------------------------
% 56.15/7.54 % (15472)dis+1010_1:1_au=on:cbe=off:chr=on:fsr=off:hfsq=on:nm=64:sos=theory:sp=weighted_frequency:i=5446:si=on:rtra=on_0 on Vampire---4 for (2928ds/5446Mi)
% 56.35/7.55 % (15471)Instruction limit reached!
% 56.35/7.55 % (15471)------------------------------
% 56.35/7.55 % (15471)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 56.35/7.55 % (15471)Termination reason: Unknown
% 56.35/7.55 % (15471)Termination phase: Saturation
% 56.35/7.55
% 56.35/7.55 % (15471)Memory used [KB]: 6524
% 56.35/7.56 % (15471)Time elapsed: 0.076 s
% 56.35/7.56 % (15471)Instructions burned: 363 (million)
% 56.35/7.56 % (15471)------------------------------
% 56.35/7.56 % (15471)------------------------------
% 56.35/7.56 % (15473)dis+10_1:1_cnfonf=lazy_gen:fe=off:plsq=on:plsqc=1:plsqr=32,1:prag=on:i=2573:si=on:rtra=on_0 on Vampire---4 for (2928ds/2573Mi)
% 56.35/7.58 % (15470)Instruction limit reached!
% 56.35/7.58 % (15470)------------------------------
% 56.35/7.58 % (15470)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 56.35/7.58 % (15470)Termination reason: Unknown
% 56.35/7.58 % (15470)Termination phase: Saturation
% 56.35/7.58
% 56.35/7.58 % (15470)Memory used [KB]: 6524
% 56.35/7.58 % (15470)Time elapsed: 0.135 s
% 56.35/7.58 % (15470)Instructions burned: 387 (million)
% 56.35/7.58 % (15470)------------------------------
% 56.35/7.58 % (15470)------------------------------
% 56.35/7.59 % (15474)lrs+10_1:1_av=off:bd=off:cnfonf=lazy_gen:fe=off:hud=10:plsq=on:plsqc=1:plsqr=32,1:tnu=1:i=2655:si=on:rtra=on_0 on Vampire---4 for (2927ds/2655Mi)
% 57.14/7.75 % (15464)Instruction limit reached!
% 57.14/7.75 % (15464)------------------------------
% 57.14/7.75 % (15464)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 57.14/7.75 % (15464)Termination reason: Unknown
% 57.14/7.75 % (15464)Termination phase: Saturation
% 57.14/7.75
% 57.50/7.75 % (15464)Memory used [KB]: 7419
% 57.50/7.75 % (15464)Time elapsed: 0.724 s
% 57.50/7.75 % (15464)Instructions burned: 2679 (million)
% 57.50/7.75 % (15464)------------------------------
% 57.50/7.75 % (15464)------------------------------
% 57.50/7.76 % (15476)dis+1002_16:1_apa=on:au=on:av=off:cnfonf=off:e2e=on:nm=0:nwc=10.0:i=2781:si=on:rtra=on_0 on Vampire---4 for (2926ds/2781Mi)
% 57.50/7.76 % (15469)Instruction limit reached!
% 57.50/7.76 % (15469)------------------------------
% 57.50/7.76 % (15469)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 57.50/7.76 % (15469)Termination reason: Unknown
% 57.50/7.76 % (15469)Termination phase: Saturation
% 57.50/7.76
% 57.50/7.76 % (15469)Memory used [KB]: 9978
% 57.50/7.76 % (15469)Time elapsed: 0.460 s
% 57.50/7.76 % (15469)Instructions burned: 1435 (million)
% 57.50/7.76 % (15469)------------------------------
% 57.50/7.76 % (15469)------------------------------
% 57.59/7.77 % (15477)lrs+1010_1:10_au=on:bd=off:cnfonf=lazy_pi_sigma_gen:sp=occurrence:i=307:si=on:rtra=on_0 on Vampire---4 for (2926ds/307Mi)
% 57.59/7.80 % (15448)Instruction limit reached!
% 57.59/7.80 % (15448)------------------------------
% 57.59/7.80 % (15448)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 57.59/7.80 % (15448)Termination reason: Unknown
% 57.59/7.80 % (15448)Termination phase: Saturation
% 57.59/7.80
% 57.59/7.80 % (15448)Memory used [KB]: 16758
% 57.59/7.80 % (15448)Time elapsed: 2.281 s
% 57.59/7.80 % (15448)Instructions burned: 7257 (million)
% 57.59/7.80 % (15448)------------------------------
% 57.59/7.80 % (15448)------------------------------
% 57.59/7.81 % (15478)lrs+1010_1:1_avsq=on:avsqr=1,16:kws=inv_arity:nwc=5.0:sd=1:ss=axioms:i=1548:si=on:rtra=on_0 on Vampire---4 for (2925ds/1548Mi)
% 57.71/7.82 % (15468)Instruction limit reached!
% 57.71/7.82 % (15468)------------------------------
% 57.71/7.82 % (15468)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 57.71/7.82 % (15468)Termination reason: Unknown
% 57.71/7.82 % (15468)Termination phase: Saturation
% 57.71/7.82
% 57.71/7.82 % (15468)Memory used [KB]: 7419
% 57.71/7.82 % (15468)Time elapsed: 0.538 s
% 57.71/7.82 % (15468)Instructions burned: 2547 (million)
% 57.71/7.82 % (15468)------------------------------
% 57.71/7.82 % (15468)------------------------------
% 57.71/7.83 % (15479)lrs+10_1:3_alpa=true:hud=3:ins=1:ntd=on:plsq=on:plsqc=1:plsqr=32,1:prag=on:s2a=on:s2agt=10:i=5214:si=on:rtra=on_0 on Vampire---4 for (2925ds/5214Mi)
% 57.76/7.88 % (15477)Instruction limit reached!
% 57.76/7.88 % (15477)------------------------------
% 57.76/7.88 % (15477)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 57.76/7.88 % (15477)Termination reason: Unknown
% 57.76/7.88 % (15477)Termination phase: Saturation
% 57.76/7.88
% 57.76/7.88 % (15477)Memory used [KB]: 6396
% 57.76/7.88 % (15477)Time elapsed: 0.113 s
% 57.76/7.88 % (15477)Instructions burned: 310 (million)
% 57.76/7.88 % (15477)------------------------------
% 57.76/7.88 % (15477)------------------------------
% 57.76/7.90 % (15480)dis+21_1:1_aac=none:bsr=on:nwc=3.0:s2a=on:i=3201:si=on:rtra=on_0 on Vampire---4 for (2924ds/3201Mi)
% 60.00/8.03 % (15463)Instruction limit reached!
% 60.00/8.03 % (15463)------------------------------
% 60.00/8.03 % (15463)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 60.00/8.03 % (15463)Termination reason: Unknown
% 60.00/8.03 % (15463)Termination phase: Saturation
% 60.00/8.03
% 60.00/8.03 % (15463)Memory used [KB]: 7547
% 60.00/8.03 % (15463)Time elapsed: 1.073 s
% 60.00/8.03 % (15463)Instructions burned: 4606 (million)
% 60.00/8.03 % (15463)------------------------------
% 60.00/8.03 % (15463)------------------------------
% 60.00/8.04 % (15481)lrs+1010_1:1_chr=on:cnfonf=lazy_not_be_gen:gs=on:hud=5:plsq=on:plsqc=1:plsqr=5,1:prag=on:rawr=on:i=454:si=on:rtra=on_0 on Vampire---4 for (2923ds/454Mi)
% 60.68/8.10 % (15473)Instruction limit reached!
% 60.68/8.10 % (15473)------------------------------
% 60.68/8.10 % (15473)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 60.68/8.10 % (15473)Termination reason: Unknown
% 60.68/8.10 % (15473)Termination phase: Saturation
% 60.68/8.10
% 60.68/8.10 % (15473)Memory used [KB]: 8571
% 60.68/8.10 % (15473)Time elapsed: 0.543 s
% 60.68/8.10 % (15473)Instructions burned: 2574 (million)
% 60.68/8.10 % (15473)------------------------------
% 60.68/8.10 % (15473)------------------------------
% 60.68/8.11 % (15482)lrs+1002_1:32_au=on:ins=2:nm=16:ntd=on:piset=all_but_not_eq:sp=occurrence:i=3049:si=on:rtra=on_0 on Vampire---4 for (2922ds/3049Mi)
% 60.94/8.14 % (15481)Instruction limit reached!
% 60.94/8.14 % (15481)------------------------------
% 60.94/8.14 % (15481)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 60.94/8.14 % (15481)Termination reason: Unknown
% 60.94/8.14 % (15481)Termination phase: Saturation
% 60.94/8.14
% 60.94/8.14 % (15481)Memory used [KB]: 11001
% 60.94/8.14 % (15481)Time elapsed: 0.095 s
% 60.94/8.14 % (15481)Instructions burned: 457 (million)
% 60.94/8.14 % (15481)------------------------------
% 60.94/8.14 % (15481)------------------------------
% 60.94/8.14 % (15483)lrs+1010_1:1_bd=preordered:cnfonf=off:e2e=on:kws=inv_precedence:lwlo=on:sd=2:ss=axioms:i=7311:si=on:rtra=on_0 on Vampire---4 for (2922ds/7311Mi)
% 61.94/8.31 % (15478)Instruction limit reached!
% 61.94/8.31 % (15478)------------------------------
% 61.94/8.31 % (15478)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 61.94/8.31 % (15478)Termination reason: Unknown
% 61.94/8.31 % (15478)Termination phase: Saturation
% 61.94/8.31
% 61.94/8.31 % (15478)Memory used [KB]: 7675
% 61.94/8.31 % (15478)Time elapsed: 0.497 s
% 61.94/8.31 % (15478)Instructions burned: 1551 (million)
% 61.94/8.31 % (15478)------------------------------
% 61.94/8.31 % (15478)------------------------------
% 61.94/8.32 % (15484)lrs+1002_1:14_au=on:bd=off:e2e=on:fde=unused:sac=on:sos=on:i=6804:si=on:rtra=on_0 on Vampire---4 for (2920ds/6804Mi)
% 61.94/8.33 % (15484)Refutation not found, incomplete strategy
% 61.94/8.33 % (15484)------------------------------
% 61.94/8.33 % (15484)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 61.94/8.33 % (15484)Termination reason: Refutation not found, incomplete strategy
% 61.94/8.33
% 61.94/8.33
% 61.94/8.33 % (15484)Memory used [KB]: 6140
% 61.94/8.33 % (15484)Time elapsed: 0.017 s
% 61.94/8.33 % (15484)Instructions burned: 56 (million)
% 61.94/8.33 % (15484)------------------------------
% 61.94/8.33 % (15484)------------------------------
% 61.94/8.34 % (15485)dis+1003_1:1_au=on:bd=preordered:fde=none:ixr=off:nwc=10.0:i=1683:si=on:rtra=on_0 on Vampire---4 for (2920ds/1683Mi)
% 62.76/8.45 % (15474)Instruction limit reached!
% 62.76/8.45 % (15474)------------------------------
% 62.76/8.45 % (15474)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 62.76/8.45 % (15474)Termination reason: Unknown
% 62.76/8.45 % (15474)Termination phase: Saturation
% 62.76/8.45
% 62.76/8.45 % (15474)Memory used [KB]: 12409
% 62.76/8.45 % (15474)Time elapsed: 0.860 s
% 62.76/8.45 % (15474)Instructions burned: 2658 (million)
% 62.76/8.45 % (15474)------------------------------
% 62.76/8.45 % (15474)------------------------------
% 62.76/8.46 % (15486)lrs+10_8:1_au=on:av=off:bd=off:cs=on:e2e=on:hfsq=on:hfsqc=50:hfsql=off:nm=0:i=4688:si=on:rtra=on_0 on Vampire---4 for (2919ds/4688Mi)
% 64.86/8.61 % (15476)Instruction limit reached!
% 64.86/8.61 % (15476)------------------------------
% 64.86/8.61 % (15476)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 64.86/8.61 % (15476)Termination reason: Unknown
% 64.86/8.61 % (15476)Termination phase: Saturation
% 64.86/8.61
% 64.86/8.61 % (15476)Memory used [KB]: 2814
% 64.86/8.61 % (15476)Time elapsed: 0.863 s
% 64.86/8.61 % (15476)Instructions burned: 2782 (million)
% 64.86/8.61 % (15476)------------------------------
% 64.86/8.61 % (15476)------------------------------
% 64.86/8.62 % (15487)dis-1_1:1_amm=off:au=on:cbe=off:spb=intro:i=2207:si=on:rtra=on_0 on Vampire---4 for (2917ds/2207Mi)
% 66.12/8.85 % (15480)Instruction limit reached!
% 66.12/8.85 % (15480)------------------------------
% 66.12/8.85 % (15480)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 66.12/8.85 % (15480)Termination reason: Unknown
% 66.12/8.85 % (15480)Termination phase: Saturation
% 66.12/8.85
% 66.12/8.85 % (15480)Memory used [KB]: 6780
% 66.12/8.85 % (15480)Time elapsed: 0.957 s
% 66.12/8.85 % (15480)Instructions burned: 3202 (million)
% 66.12/8.85 % (15480)------------------------------
% 66.12/8.85 % (15480)------------------------------
% 66.12/8.87 % (15488)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=8216:si=on:rtra=on_0 on Vampire---4 for (2915ds/8216Mi)
% 66.86/8.90 % (15485)Instruction limit reached!
% 66.86/8.90 % (15485)------------------------------
% 66.86/8.90 % (15485)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 66.86/8.90 % (15485)Termination reason: Unknown
% 66.86/8.90 % (15485)Termination phase: Saturation
% 66.86/8.90
% 66.86/8.90 % (15485)Memory used [KB]: 10746
% 66.86/8.90 % (15485)Time elapsed: 0.558 s
% 66.86/8.90 % (15485)Instructions burned: 1685 (million)
% 66.86/8.90 % (15485)------------------------------
% 66.86/8.90 % (15485)------------------------------
% 66.86/8.90 % (15489)lrs+1010_1:1_atotf=0.5:au=on:cbe=off:cnfonf=lazy_not_be_gen:fe=off:nwc=5.0:spb=units:i=430:si=on:rtra=on_0 on Vampire---4 for (2914ds/430Mi)
% 66.92/8.93 % (15482)Instruction limit reached!
% 66.92/8.93 % (15482)------------------------------
% 66.92/8.93 % (15482)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 66.92/8.93 % (15482)Termination reason: Unknown
% 66.92/8.93 % (15482)Termination phase: Saturation
% 66.92/8.93
% 66.92/8.93 % (15482)Memory used [KB]: 10106
% 66.92/8.93 % (15482)Time elapsed: 0.814 s
% 66.92/8.93 % (15482)Instructions burned: 3053 (million)
% 66.92/8.93 % (15482)------------------------------
% 66.92/8.93 % (15482)------------------------------
% 66.92/8.93 % (15490)lrs+1004_1:1_cnfonf=lazy_pi_sigma_gen:fe=off:gs=on:hud=10:prag=on:tnu=1:i=2012:si=on:rtra=on_0 on Vampire---4 for (2914ds/2012Mi)
% 66.92/8.99 % (15489)Instruction limit reached!
% 66.92/8.99 % (15489)------------------------------
% 66.92/8.99 % (15489)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 66.92/8.99 % (15489)Termination reason: Unknown
% 66.92/8.99 % (15489)Termination phase: Saturation
% 66.92/8.99
% 66.92/8.99 % (15489)Memory used [KB]: 6524
% 66.92/8.99 % (15489)Time elapsed: 0.089 s
% 66.92/8.99 % (15489)Instructions burned: 431 (million)
% 66.92/8.99 % (15489)------------------------------
% 66.92/8.99 % (15489)------------------------------
% 66.92/9.00 % (15491)ott+1010_1:32_apa=on:atotf=0.3:au=on:c=on:cnfonf=off:fe=off:fsr=off:nm=6:piset=or:sac=on:sos=on:i=631:si=on:rtra=on_0 on Vampire---4 for (2913ds/631Mi)
% 67.45/9.04 % (15487)Instruction limit reached!
% 67.45/9.04 % (15487)------------------------------
% 67.45/9.04 % (15487)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 67.45/9.04 % (15487)Termination reason: Unknown
% 67.45/9.04 % (15487)Termination phase: Saturation
% 67.45/9.04
% 67.45/9.04 % (15487)Memory used [KB]: 6780
% 67.45/9.04 % (15487)Time elapsed: 0.422 s
% 67.45/9.04 % (15487)Instructions burned: 2209 (million)
% 67.45/9.04 % (15487)------------------------------
% 67.45/9.04 % (15487)------------------------------
% 67.45/9.05 % (15472)Instruction limit reached!
% 67.45/9.05 % (15472)------------------------------
% 67.45/9.05 % (15472)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 67.45/9.05 % (15472)Termination reason: Unknown
% 67.45/9.05 % (15472)Termination phase: Saturation
% 67.45/9.05
% 67.45/9.05 % (15472)Memory used [KB]: 6908
% 67.45/9.05 % (15472)Time elapsed: 1.509 s
% 67.45/9.05 % (15472)Instructions burned: 5447 (million)
% 67.45/9.05 % (15472)------------------------------
% 67.45/9.05 % (15472)------------------------------
% 67.45/9.05 % (15492)dis+2_1:1_bd=off:e2e=on:hud=1:nm=3:piset=or:prag=on:s2a=on:sp=const_max:i=8785:si=on:rtra=on_0 on Vampire---4 for (2913ds/8785Mi)
% 67.45/9.07 % (15493)lrs-1002_1:128_abs=on:bd=preordered:cbe=off:e2e=on:fde=unused:fe=off:tgt=full:i=739:si=on:rtra=on_0 on Vampire---4 for (2913ds/739Mi)
% 68.19/9.13 % (15491)Instruction limit reached!
% 68.19/9.13 % (15491)------------------------------
% 68.19/9.13 % (15491)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 68.19/9.13 % (15491)Termination reason: Unknown
% 68.19/9.13 % (15491)Termination phase: Saturation
% 68.19/9.13
% 68.19/9.13 % (15491)Memory used [KB]: 6908
% 68.19/9.13 % (15491)Time elapsed: 0.130 s
% 68.19/9.13 % (15491)Instructions burned: 636 (million)
% 68.19/9.13 % (15491)------------------------------
% 68.19/9.13 % (15491)------------------------------
% 68.19/9.14 % (15494)dis+1002_1:1024_fe=off:hud=5:prag=on:i=5473:si=on:rtra=on_0 on Vampire---4 for (2912ds/5473Mi)
% 68.61/9.27 % (15479)Instruction limit reached!
% 68.61/9.27 % (15479)------------------------------
% 68.61/9.27 % (15479)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 68.61/9.27 % (15479)Termination reason: Unknown
% 68.61/9.27 % (15479)Termination phase: Saturation
% 68.61/9.27
% 68.61/9.27 % (15479)Memory used [KB]: 7036
% 68.61/9.27 % (15479)Time elapsed: 1.452 s
% 68.61/9.27 % (15479)Instructions burned: 5217 (million)
% 68.61/9.27 % (15479)------------------------------
% 68.61/9.27 % (15479)------------------------------
% 68.90/9.29 % (15495)lrs+1002_1:1_au=on:bd=off:e2e=on:sd=2:sos=on:ss=axioms:i=43570:si=on:rtra=on_0 on Vampire---4 for (2911ds/43570Mi)
% 70.53/9.42 % (15490)Instruction limit reached!
% 70.53/9.42 % (15490)------------------------------
% 70.53/9.42 % (15490)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 70.53/9.42 % (15490)Termination reason: Unknown
% 70.53/9.42 % (15490)Termination phase: Saturation
% 70.53/9.42
% 70.53/9.42 % (15490)Memory used [KB]: 15991
% 70.53/9.42 % (15490)Time elapsed: 0.491 s
% 70.53/9.42 % (15490)Instructions burned: 2013 (million)
% 70.53/9.42 % (15490)------------------------------
% 70.53/9.42 % (15490)------------------------------
% 71.32/9.42 % (15493)Instruction limit reached!
% 71.32/9.42 % (15493)------------------------------
% 71.32/9.42 % (15493)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 71.32/9.42 % (15493)Termination reason: Unknown
% 71.32/9.42 % (15493)Termination phase: Saturation
% 71.32/9.42
% 71.32/9.42 % (15493)Memory used [KB]: 8187
% 71.32/9.42 % (15493)Time elapsed: 0.385 s
% 71.32/9.42 % (15493)Instructions burned: 739 (million)
% 71.32/9.42 % (15493)------------------------------
% 71.32/9.42 % (15493)------------------------------
% 71.32/9.44 % (15496)dis+1010_2:3_amm=off:fd=preordered:ixr=off:nm=0:pe=on:piset=equals:prag=on:sac=on:tgt=ground:i=8382:si=on:rtra=on_0 on Vampire---4 for (2909ds/8382Mi)
% 71.32/9.44 % (15497)dis-30_1:1_acc=on:bd=off:fsr=off:plsq=on:plsqr=32,1:i=407:si=on:rtra=on_0 on Vampire---4 for (2909ds/407Mi)
% 71.74/9.54 % (15497)Instruction limit reached!
% 71.74/9.54 % (15497)------------------------------
% 71.74/9.54 % (15497)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 71.74/9.54 % (15497)Termination reason: Unknown
% 71.74/9.54 % (15497)Termination phase: Saturation
% 71.74/9.54
% 71.74/9.54 % (15497)Memory used [KB]: 6524
% 71.74/9.54 % (15497)Time elapsed: 0.087 s
% 71.74/9.54 % (15497)Instructions burned: 410 (million)
% 71.74/9.54 % (15497)------------------------------
% 71.74/9.54 % (15497)------------------------------
% 71.74/9.55 % (15498)lrs+10_1:50_cbe=off:cnfonf=lazy_pi_sigma_gen:fe=off:hud=5:plsq=on:plsqr=1,32:sos=all:i=2971:si=on:rtra=on_0 on Vampire---4 for (2908ds/2971Mi)
% 74.07/9.88 % (15486)Instruction limit reached!
% 74.07/9.88 % (15486)------------------------------
% 74.07/9.88 % (15486)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 74.07/9.88 % (15486)Termination reason: Unknown
% 74.07/9.88 % (15486)Termination phase: Saturation
% 74.07/9.88
% 74.07/9.88 % (15486)Memory used [KB]: 21236
% 74.07/9.88 % (15486)Time elapsed: 1.417 s
% 74.07/9.88 % (15486)Instructions burned: 4689 (million)
% 74.07/9.88 % (15486)------------------------------
% 74.07/9.88 % (15486)------------------------------
% 74.07/9.89 % (15499)lrs+1002_1:1_aac=none:bd=off:e2e=on:fde=none:fe=off:piset=or:prag=on:rawr=on:sos=on:updr=off:i=9822:si=on:rtra=on_0 on Vampire---4 for (2905ds/9822Mi)
% 74.07/9.91 % (15499)Refutation not found, incomplete strategy
% 74.07/9.91 % (15499)------------------------------
% 74.07/9.91 % (15499)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 74.07/9.91 % (15499)Termination reason: Refutation not found, incomplete strategy
% 74.07/9.91
% 74.07/9.91
% 74.07/9.91 % (15499)Memory used [KB]: 6524
% 74.07/9.91 % (15499)Time elapsed: 0.026 s
% 74.07/9.91 % (15499)Instructions burned: 85 (million)
% 74.07/9.91 % (15499)------------------------------
% 74.07/9.91 % (15499)------------------------------
% 74.07/9.92 % (15500)dis+10_5:1_av=off:ntd=on:s2a=on:s2at=3.0:sgt=16:sp=unary_frequency:ss=axioms:i=8425:si=on:rtra=on_0 on Vampire---4 for (2904ds/8425Mi)
% 76.87/10.16 % (15494)Instruction limit reached!
% 76.87/10.16 % (15494)------------------------------
% 76.87/10.16 % (15494)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 76.87/10.16 % (15494)Termination reason: Unknown
% 76.87/10.16 % (15494)Termination phase: Saturation
% 76.87/10.16
% 76.87/10.16 % (15494)Memory used [KB]: 6908
% 76.87/10.16 % (15494)Time elapsed: 1.024 s
% 76.87/10.16 % (15494)Instructions burned: 5476 (million)
% 76.87/10.16 % (15494)------------------------------
% 76.87/10.16 % (15494)------------------------------
% 76.87/10.17 % (15501)lrs+30_1:1_aac=none:au=on:cbe=off:cs=on:nm=2:rawr=on:sos=on:i=3107:si=on:rtra=on_0 on Vampire---4 for (2902ds/3107Mi)
% 77.32/10.20 % (15498)Instruction limit reached!
% 77.32/10.20 % (15498)------------------------------
% 77.32/10.20 % (15498)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 77.32/10.20 % (15498)Termination reason: Unknown
% 77.32/10.20 % (15498)Termination phase: Saturation
% 77.32/10.20
% 77.32/10.20 % (15498)Memory used [KB]: 7164
% 77.32/10.20 % (15498)Time elapsed: 0.669 s
% 77.32/10.20 % (15498)Instructions burned: 2972 (million)
% 77.32/10.20 % (15498)------------------------------
% 77.32/10.20 % (15498)------------------------------
% 77.32/10.21 % (15502)lrs+1002_1:128_aac=none:au=on:cnfonf=lazy_not_gen_be_off:sos=all:i=7967:si=on:rtra=on_0 on Vampire---4 for (2901ds/7967Mi)
% 81.54/10.74 % (15501)Instruction limit reached!
% 81.54/10.74 % (15501)------------------------------
% 81.54/10.74 % (15501)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 81.54/10.74 % (15501)Termination reason: Unknown
% 81.54/10.74 % (15501)Termination phase: Saturation
% 81.54/10.74
% 81.54/10.74 % (15501)Memory used [KB]: 7164
% 81.54/10.74 % (15501)Time elapsed: 0.579 s
% 81.54/10.74 % (15501)Instructions burned: 3111 (million)
% 81.54/10.74 % (15501)------------------------------
% 81.54/10.74 % (15501)------------------------------
% 81.54/10.75 % (15503)lrs+1010_10:959_abs=on:acc=on:bd=off:ccuc=small_ones:cha=on:cnfonf=lazy_simp:fd=preordered:fe=off:hud=3:ile=on:kws=inv_frequency:nm=2:piset=and:sd=5:sp=frequency:spb=goal_then_units:ss=axioms:st=4.5:i=3629:si=on:rtra=on_0 on Vampire---4 for (2896ds/3629Mi)
% 82.56/10.87 % (15483)Instruction limit reached!
% 82.56/10.87 % (15483)------------------------------
% 82.56/10.87 % (15483)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 82.56/10.87 % (15483)Termination reason: Unknown
% 82.56/10.87 % (15483)Termination phase: Saturation
% 82.56/10.87
% 82.56/10.87 % (15483)Memory used [KB]: 27504
% 82.56/10.87 % (15483)Time elapsed: 2.727 s
% 82.56/10.87 % (15483)Instructions burned: 7312 (million)
% 82.56/10.87 % (15483)------------------------------
% 82.56/10.87 % (15483)------------------------------
% 82.78/10.89 % (15504)lrs+1010_1:1024_au=on:fe=axiom:lwlo=on:nm=0:ntd=on:nwc=10.0:spb=non_intro:uhcvi=on:i=939:si=on:rtra=on_0 on Vampire---4 for (2895ds/939Mi)
% 84.49/11.11 % (15504)Instruction limit reached!
% 84.49/11.11 % (15504)------------------------------
% 84.49/11.11 % (15504)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 84.49/11.11 % (15504)Termination reason: Unknown
% 84.49/11.11 % (15504)Termination phase: Saturation
% 84.49/11.11
% 84.49/11.11 % (15504)Memory used [KB]: 6780
% 84.49/11.11 % (15504)Time elapsed: 0.220 s
% 84.49/11.11 % (15504)Instructions burned: 942 (million)
% 84.49/11.11 % (15504)------------------------------
% 84.49/11.11 % (15504)------------------------------
% 84.49/11.12 % (15505)dis+1666_14:1_cnfonf=lazy_gen:fe=off:hud=10:piset=all_but_not_eq:prag=on:sp=const_max:i=1188:si=on:rtra=on_0 on Vampire---4 for (2892ds/1188Mi)
% 86.16/11.38 % (15505)Instruction limit reached!
% 86.16/11.38 % (15505)------------------------------
% 86.16/11.38 % (15505)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 86.16/11.38 % (15505)Termination reason: Unknown
% 86.16/11.38 % (15505)Termination phase: Saturation
% 86.16/11.38
% 86.16/11.38 % (15505)Memory used [KB]: 7803
% 86.16/11.38 % (15505)Time elapsed: 0.259 s
% 86.16/11.38 % (15505)Instructions burned: 1188 (million)
% 86.16/11.38 % (15505)------------------------------
% 86.16/11.38 % (15505)------------------------------
% 86.94/11.39 % (15506)dis+21_3:2_avsq=on:cbe=off:e2e=on:flr=on:ile=on:nwc=5.0:piset=or:rawr=on:sp=occurrence:i=3205:si=on:rtra=on_0 on Vampire---4 for (2889ds/3205Mi)
% 87.72/11.51 % (15500)Instruction limit reached!
% 87.72/11.51 % (15500)------------------------------
% 87.72/11.51 % (15500)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 87.72/11.51 % (15500)Termination reason: Unknown
% 87.72/11.51 % (15500)Termination phase: Saturation
% 87.72/11.51
% 87.72/11.51 % (15500)Memory used [KB]: 2430
% 87.72/11.51 % (15500)Time elapsed: 1.586 s
% 87.72/11.51 % (15500)Instructions burned: 8429 (million)
% 87.72/11.51 % (15500)------------------------------
% 87.72/11.51 % (15500)------------------------------
% 87.72/11.51 % (15507)lrs+1010_1:1_cnfonf=off:ntd=on:nwc=3.0:s2a=on:sp=const_frequency:i=865:si=on:rtra=on_0 on Vampire---4 for (2888ds/865Mi)
% 87.85/11.54 % (15492)Instruction limit reached!
% 87.85/11.54 % (15492)------------------------------
% 87.85/11.54 % (15492)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 87.85/11.54 % (15492)Termination reason: Unknown
% 87.85/11.54 % (15492)Termination phase: Saturation
% 87.85/11.54
% 87.85/11.54 % (15492)Memory used [KB]: 6908
% 87.85/11.54 % (15492)Time elapsed: 2.462 s
% 87.85/11.54 % (15492)Instructions burned: 8785 (million)
% 87.85/11.54 % (15492)------------------------------
% 87.85/11.54 % (15492)------------------------------
% 87.85/11.55 % (15508)ott+1002_1:1_au=on:bd=off:cbe=off:cha=on:cnfonf=lazy_pi_sigma_gen:fd=off:fe=off:ntd=on:sp=const_frequency:i=7469:si=on:rtra=on_0 on Vampire---4 for (2888ds/7469Mi)
% 87.85/11.61 % (15503)Instruction limit reached!
% 87.85/11.61 % (15503)------------------------------
% 87.85/11.61 % (15503)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 87.85/11.61 % (15503)Termination reason: Unknown
% 87.85/11.61 % (15503)Termination phase: Saturation
% 87.85/11.61
% 87.85/11.61 % (15503)Memory used [KB]: 6908
% 87.85/11.61 % (15503)Time elapsed: 0.858 s
% 87.85/11.61 % (15503)Instructions burned: 3632 (million)
% 87.85/11.61 % (15503)------------------------------
% 87.85/11.61 % (15503)------------------------------
% 87.85/11.62 % (15509)dis+10_1:10_bd=preordered:e2e=on:fde=none:fe=axiom:hud=3:kws=precedence:nwc=3.0:prag=on:sp=const_max:tgt=full:i=4165:si=on:rtra=on_0 on Vampire---4 for (2887ds/4165Mi)
% 88.35/11.68 % (15507)Instruction limit reached!
% 88.35/11.68 % (15507)------------------------------
% 88.35/11.68 % (15507)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 88.35/11.68 % (15507)Termination reason: Unknown
% 88.35/11.68 % (15507)Termination phase: Saturation
% 88.35/11.68
% 88.35/11.68 % (15507)Memory used [KB]: 6908
% 88.35/11.68 % (15507)Time elapsed: 0.172 s
% 88.35/11.68 % (15507)Instructions burned: 869 (million)
% 88.35/11.68 % (15507)------------------------------
% 88.35/11.68 % (15507)------------------------------
% 88.35/11.69 % (15510)dis+1010_1:1_au=on:avsq=on:cnfonf=lazy_simp:fsr=off:ntd=on:nwc=10.0:sp=reverse_frequency:ss=axioms:st=1.5:i=13468:si=on:rtra=on_0 on Vampire---4 for (2886ds/13468Mi)
% 88.35/11.70 % (15488)Instruction limit reached!
% 88.35/11.70 % (15488)------------------------------
% 88.35/11.70 % (15488)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 88.35/11.70 % (15488)Termination reason: Unknown
% 88.35/11.70 % (15488)Termination phase: Saturation
% 88.35/11.70
% 88.35/11.70 % (15488)Memory used [KB]: 6908
% 88.35/11.70 % (15488)Time elapsed: 2.832 s
% 88.35/11.70 % (15488)Instructions burned: 8216 (million)
% 88.35/11.70 % (15488)------------------------------
% 88.35/11.70 % (15488)------------------------------
% 89.41/11.71 % (15511)dis+1002_1:1_au=on:bsr=unit_only:cbe=off:fe=off:fsr=off:nm=10:nwc=6.0:plsq=on:plsqc=1:plsqr=32,1:sos=all:i=2635:si=on:rtra=on_0 on Vampire---4 for (2886ds/2635Mi)
% 90.15/11.85 % (15502)Instruction limit reached!
% 90.15/11.85 % (15502)------------------------------
% 90.15/11.85 % (15502)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 90.15/11.85 % (15502)Termination reason: Unknown
% 90.15/11.85 % (15502)Termination phase: Saturation
% 90.15/11.85
% 90.15/11.85 % (15502)Memory used [KB]: 7036
% 90.15/11.85 % (15502)Time elapsed: 1.628 s
% 90.15/11.85 % (15502)Instructions burned: 7970 (million)
% 90.15/11.85 % (15502)------------------------------
% 90.15/11.85 % (15502)------------------------------
% 90.15/11.86 % (15512)dis+1010_1:4_avsq=on:avsqr=16,1:bet=on:cbe=off:cnfonf=lazy_not_be_gen:hud=5:plsq=on:plsqc=1:plsqr=32,1:prag=on:i=631:si=on:rtra=on_0 on Vampire---4 for (2885ds/631Mi)
% 90.76/11.99 % (15512)Instruction limit reached!
% 90.76/11.99 % (15512)------------------------------
% 90.76/11.99 % (15512)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 90.76/11.99 % (15512)Termination reason: Unknown
% 90.76/11.99 % (15512)Termination phase: Saturation
% 90.76/11.99
% 90.76/11.99 % (15512)Memory used [KB]: 6780
% 90.76/11.99 % (15512)Time elapsed: 0.130 s
% 90.76/11.99 % (15512)Instructions burned: 635 (million)
% 90.76/11.99 % (15512)------------------------------
% 90.76/11.99 % (15512)------------------------------
% 91.42/12.00 % (15513)lrs+1002_1:1_aac=none:au=on:cnfonf=lazy_gen:plsq=on:plsqc=1:plsqr=4203469,65536:i=15557:si=on:rtra=on_0 on Vampire---4 for (2883ds/15557Mi)
% 92.12/12.11 % (15506)Instruction limit reached!
% 92.12/12.11 % (15506)------------------------------
% 92.12/12.11 % (15506)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 92.12/12.11 % (15506)Termination reason: Unknown
% 92.12/12.11 % (15506)Termination phase: Saturation
% 92.12/12.11
% 92.12/12.11 % (15506)Memory used [KB]: 6908
% 92.12/12.11 % (15506)Time elapsed: 0.707 s
% 92.12/12.11 % (15506)Instructions burned: 3210 (million)
% 92.12/12.11 % (15506)------------------------------
% 92.12/12.11 % (15506)------------------------------
% 92.12/12.12 % (15514)dis+1002_1:1_au=on:sac=on:sd=5:slsq=on:slsqr=1,4:ss=axioms:st=2.0:i=2142:si=on:rtra=on_0 on Vampire---4 for (2882ds/2142Mi)
% 94.21/12.31 % (15511)Instruction limit reached!
% 94.21/12.31 % (15511)------------------------------
% 94.21/12.31 % (15511)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 94.21/12.31 % (15511)Termination reason: Unknown
% 94.21/12.31 % (15511)Termination phase: Saturation
% 94.21/12.31
% 94.21/12.31 % (15511)Memory used [KB]: 6908
% 94.21/12.31 % (15511)Time elapsed: 0.599 s
% 94.21/12.31 % (15511)Instructions burned: 2638 (million)
% 94.21/12.31 % (15511)------------------------------
% 94.21/12.31 % (15511)------------------------------
% 94.21/12.32 % (15515)dis+1002_1:1_aac=none:au=on:bd=off:cnfonf=conj_eager:nwc=5.0:sgt=5:sp=reverse_arity:ss=axioms:i=5624:si=on:rtra=on_0 on Vampire---4 for (2880ds/5624Mi)
% 96.32/12.66 % (15514)Instruction limit reached!
% 96.32/12.66 % (15514)------------------------------
% 96.32/12.66 % (15514)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 96.32/12.66 % (15514)Termination reason: Unknown
% 96.32/12.66 % (15514)Termination phase: Saturation
% 96.32/12.66
% 96.32/12.66 % (15514)Memory used [KB]: 6780
% 96.32/12.66 % (15514)Time elapsed: 0.530 s
% 96.32/12.66 % (15514)Instructions burned: 2143 (million)
% 96.32/12.66 % (15514)------------------------------
% 96.32/12.66 % (15514)------------------------------
% 96.32/12.68 % (15516)lrs+1010_1:1_au=on:cbe=off:cnfonf=lazy_not_be_gen:ntd=on:pe=on:i=1665:si=on:rtra=on_0 on Vampire---4 for (2877ds/1665Mi)
% 100.24/13.15 % (15516)Instruction limit reached!
% 100.24/13.15 % (15516)------------------------------
% 100.24/13.15 % (15516)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 100.24/13.15 % (15516)Termination reason: Unknown
% 100.24/13.15 % (15516)Termination phase: Saturation
% 100.24/13.15
% 100.24/13.15 % (15516)Memory used [KB]: 7164
% 100.24/13.15 % (15516)Time elapsed: 0.501 s
% 100.24/13.15 % (15516)Instructions burned: 1667 (million)
% 100.24/13.15 % (15516)------------------------------
% 100.24/13.15 % (15516)------------------------------
% 101.04/13.16 % (15517)dis+1002_1:1_av=off:prag=on:sd=1:sos=on:sp=occurrence:ss=axioms:i=64912:si=on:rtra=on_0 on Vampire---4 for (2872ds/64912Mi)
% 101.50/13.24 % (15496)Instruction limit reached!
% 101.50/13.24 % (15496)------------------------------
% 101.50/13.24 % (15496)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 101.50/13.24 % (15496)Termination reason: Unknown
% 101.50/13.24 % (15496)Termination phase: Saturation
% 101.50/13.24
% 101.50/13.24 % (15496)Memory used [KB]: 21236
% 101.50/13.24 % (15496)Time elapsed: 3.801 s
% 101.50/13.24 % (15496)Instructions burned: 8383 (million)
% 101.50/13.24 % (15496)------------------------------
% 101.50/13.24 % (15496)------------------------------
% 101.50/13.26 % (15518)lrs+10_1:32_atotf=0.1:avsq=on:bsr=on:cnfonf=lazy_gen:fde=unused:i=7801:si=on:rtra=on_0 on Vampire---4 for (2871ds/7801Mi)
% 102.34/13.43 % (15509)Instruction limit reached!
% 102.34/13.43 % (15509)------------------------------
% 102.34/13.43 % (15509)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 102.34/13.43 % (15509)Termination reason: Unknown
% 102.34/13.43 % (15509)Termination phase: Saturation
% 102.34/13.43
% 102.34/13.43 % (15509)Memory used [KB]: 15479
% 102.34/13.43 % (15509)Time elapsed: 1.809 s
% 102.34/13.43 % (15509)Instructions burned: 4165 (million)
% 102.34/13.43 % (15509)------------------------------
% 102.34/13.43 % (15509)------------------------------
% 102.34/13.44 % (15519)ott+2_1:1_au=on:hfsq=on:hfsqc=5:hfsql=off:nwc=5.0:sd=3:ss=axioms:st=5.0:i=15194:si=on:rtra=on_0 on Vampire---4 for (2869ds/15194Mi)
% 104.07/13.56 % (15508)Instruction limit reached!
% 104.07/13.56 % (15508)------------------------------
% 104.07/13.56 % (15508)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 104.07/13.56 % (15508)Termination reason: Unknown
% 104.07/13.56 % (15508)Termination phase: Saturation
% 104.07/13.56
% 104.07/13.56 % (15508)Memory used [KB]: 8059
% 104.07/13.56 % (15508)Time elapsed: 2.015 s
% 104.07/13.56 % (15508)Instructions burned: 7475 (million)
% 104.07/13.56 % (15508)------------------------------
% 104.07/13.56 % (15508)------------------------------
% 104.07/13.57 % (15520)dis-1002_1:1_alpa=false:apa=on:au=on:bd=off:cnfonf=off:e2e=on:er=filter:fde=unused:plsq=on:plsqr=9699663,1048576:s2a=on:sos=on:sp=unary_first:i=6753:si=on:rtra=on_0 on Vampire---4 for (2868ds/6753Mi)
% 105.63/13.78 % (15520)Refutation not found, incomplete strategy
% 105.63/13.78 % (15520)------------------------------
% 105.63/13.78 % (15520)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 105.63/13.78 % (15520)Termination reason: Refutation not found, incomplete strategy
% 105.63/13.78
% 105.63/13.78
% 105.63/13.78 % (15520)Memory used [KB]: 7036
% 105.63/13.78 % (15520)Time elapsed: 0.210 s
% 105.63/13.78 % (15520)Instructions burned: 699 (million)
% 105.63/13.78 % (15520)------------------------------
% 105.63/13.78 % (15520)------------------------------
% 105.63/13.79 % (15521)lrs+1002_1:28_bd=off:cnfonf=lazy_simp:plsq=on:plsqr=1,1:prag=on:i=1003:si=on:rtra=on_0 on Vampire---4 for (2865ds/1003Mi)
% 107.39/13.99 % (15521)Instruction limit reached!
% 107.39/13.99 % (15521)------------------------------
% 107.39/13.99 % (15521)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 107.39/13.99 % (15521)Termination reason: Unknown
% 107.39/13.99 % (15521)Termination phase: Saturation
% 107.39/13.99
% 107.39/13.99 % (15521)Memory used [KB]: 6908
% 107.39/13.99 % (15521)Time elapsed: 0.205 s
% 107.39/13.99 % (15521)Instructions burned: 1006 (million)
% 107.39/13.99 % (15521)------------------------------
% 107.39/13.99 % (15521)------------------------------
% 107.39/14.00 % (15522)ott-21_5:4_atotf=0.3:e2e=on:hud=15:ins=1:plsq=on:plsqc=1:plsqr=32,1:sp=unary_frequency:tnu=2:i=13018:si=on:rtra=on_0 on Vampire---4 for (2863ds/13018Mi)
% 109.81/14.28 % (15515)Instruction limit reached!
% 109.81/14.28 % (15515)------------------------------
% 109.81/14.28 % (15515)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 109.81/14.28 % (15515)Termination reason: Unknown
% 109.81/14.28 % (15515)Termination phase: Saturation
% 109.81/14.28
% 109.81/14.28 % (15515)Memory used [KB]: 10746
% 109.81/14.28 % (15515)Time elapsed: 1.957 s
% 109.81/14.28 % (15515)Instructions burned: 5625 (million)
% 109.81/14.28 % (15515)------------------------------
% 109.81/14.28 % (15515)------------------------------
% 109.81/14.29 % (15523)dis+10_1:4_atotf=0.1:avsq=on:bsr=unit_only:e2e=on:sd=1:sp=const_max:ss=axioms:i=1267:si=on:rtra=on_0 on Vampire---4 for (2860ds/1267Mi)
% 112.29/14.60 % (15523)Instruction limit reached!
% 112.29/14.60 % (15523)------------------------------
% 112.29/14.60 % (15523)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 112.29/14.60 % (15523)Termination reason: Unknown
% 112.29/14.60 % (15523)Termination phase: Saturation
% 112.29/14.60
% 112.29/14.60 % (15523)Memory used [KB]: 7419
% 112.29/14.60 % (15523)Time elapsed: 0.313 s
% 112.29/14.60 % (15523)Instructions burned: 1270 (million)
% 112.29/14.60 % (15523)------------------------------
% 112.29/14.60 % (15523)------------------------------
% 112.29/14.60 % (15524)lrs+10_1:20_au=on:c=on:cbe=off:cnfonf=lazy_gen:ins=1:plsq=on:plsqc=1:plsqr=46,31:sac=on:i=2570:si=on:rtra=on_0 on Vampire---4 for (2857ds/2570Mi)
% 118.92/15.42 % (15524)Instruction limit reached!
% 118.92/15.42 % (15524)------------------------------
% 118.92/15.42 % (15524)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 118.92/15.42 % (15524)Termination reason: Unknown
% 118.92/15.42 % (15524)Termination phase: Saturation
% 118.92/15.42
% 118.92/15.42 % (15524)Memory used [KB]: 8827
% 118.92/15.42 % (15524)Time elapsed: 0.813 s
% 118.92/15.42 % (15524)Instructions burned: 2573 (million)
% 118.92/15.42 % (15524)------------------------------
% 118.92/15.42 % (15524)------------------------------
% 118.92/15.42 % (15525)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=13163:si=on:rtra=on_0 on Vampire---4 for (2849ds/13163Mi)
% 118.92/15.47 % (15513)Instruction limit reached!
% 118.92/15.47 % (15513)------------------------------
% 118.92/15.47 % (15513)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 118.92/15.47 % (15513)Termination reason: Unknown
% 118.92/15.47 % (15513)Termination phase: Saturation
% 118.92/15.47
% 118.92/15.47 % (15513)Memory used [KB]: 8955
% 118.92/15.47 % (15513)Time elapsed: 3.473 s
% 118.92/15.47 % (15513)Instructions burned: 15560 (million)
% 118.92/15.47 % (15513)------------------------------
% 118.92/15.47 % (15513)------------------------------
% 118.92/15.48 % (15526)lrs+1666_1:1_au=on:s2a=on:sd=2:ss=axioms:st=5.0:i=5087:si=on:rtra=on_0 on Vampire---4 for (2849ds/5087Mi)
% 120.21/15.69 % (15510)Instruction limit reached!
% 120.21/15.69 % (15510)------------------------------
% 120.21/15.69 % (15510)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 120.21/15.69 % (15510)Termination reason: Unknown
% 120.21/15.69 % (15510)Termination phase: Saturation
% 120.21/15.69
% 120.21/15.69 % (15510)Memory used [KB]: 11129
% 120.21/15.69 % (15510)Time elapsed: 3.966 s
% 120.21/15.69 % (15510)Instructions burned: 13468 (million)
% 120.21/15.69 % (15510)------------------------------
% 120.21/15.69 % (15510)------------------------------
% 120.21/15.70 % (15527)lrs+1002_1:1_aac=none:au=on:bd=off:cnfonf=lazy_pi_sigma_gen:s2a=on:sac=on:sd=1:sgt=20:ss=axioms:i=10380:si=on:rtra=on_0 on Vampire---4 for (2846ds/10380Mi)
% 127.06/16.48 % (15526)Instruction limit reached!
% 127.06/16.48 % (15526)------------------------------
% 127.06/16.48 % (15526)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 127.06/16.48 % (15526)Termination reason: Unknown
% 127.06/16.48 % (15526)Termination phase: Saturation
% 127.06/16.48
% 127.06/16.48 % (15526)Memory used [KB]: 6780
% 127.06/16.48 % (15526)Time elapsed: 1.004 s
% 127.06/16.48 % (15526)Instructions burned: 5088 (million)
% 127.06/16.48 % (15526)------------------------------
% 127.06/16.48 % (15526)------------------------------
% 127.06/16.49 % (15528)lrs+2_1:1_bd=off:cbe=off:piset=equals:sd=1:sgt=20:sos=all:ss=axioms:i=4218:si=on:rtra=on_0 on Vampire---4 for (2839ds/4218Mi)
% 131.17/16.96 % (15518)Instruction limit reached!
% 131.17/16.96 % (15518)------------------------------
% 131.17/16.96 % (15518)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 131.17/16.96 % (15518)Termination reason: Unknown
% 131.17/16.96 % (15518)Termination phase: Saturation
% 131.17/16.96
% 131.17/16.96 % (15518)Memory used [KB]: 18038
% 131.17/16.96 % (15518)Time elapsed: 3.704 s
% 131.17/16.96 % (15518)Instructions burned: 7801 (million)
% 131.17/16.96 % (15518)------------------------------
% 131.17/16.96 % (15518)------------------------------
% 131.17/16.98 % (15522)Instruction limit reached!
% 131.17/16.98 % (15522)------------------------------
% 131.17/16.98 % (15522)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 131.17/16.98 % (15522)Termination reason: Unknown
% 131.17/16.98 % (15522)Termination phase: Saturation
% 131.17/16.98
% 131.17/16.98 % (15522)Memory used [KB]: 8059
% 131.17/16.98 % (15522)Time elapsed: 2.978 s
% 131.17/16.98 % (15522)Instructions burned: 13020 (million)
% 131.17/16.98 % (15522)------------------------------
% 131.17/16.98 % (15522)------------------------------
% 131.17/16.98 % (15529)ott+1666_1:1_hfaw=0:hfsq=on:hfsql=off:hfsqr=1,16:hud=15:slsq=on:slsqr=1,2:tnu=2:i=3971:si=on:rtra=on_0 on Vampire---4 for (2834ds/3971Mi)
% 131.17/16.98 % (15530)dis+1010_1:1_anc=all_dependent:au=on:bs=on:sd=5:sp=occurrence:ss=axioms:st=2.0:i=14014:si=on:rtra=on_0 on Vampire---4 for (2834ds/14014Mi)
% 136.78/17.72 % (15529)Instruction limit reached!
% 136.78/17.72 % (15529)------------------------------
% 136.78/17.72 % (15529)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 136.78/17.72 % (15529)Termination reason: Unknown
% 136.78/17.72 % (15529)Termination phase: Saturation
% 136.78/17.72
% 136.78/17.72 % (15529)Memory used [KB]: 6908
% 136.78/17.72 % (15529)Time elapsed: 0.741 s
% 136.78/17.72 % (15529)Instructions burned: 3972 (million)
% 136.78/17.72 % (15529)------------------------------
% 136.78/17.72 % (15529)------------------------------
% 136.78/17.72 % (15531)lrs+10_1:1_ins=1:sgt=8:ss=axioms:i=8517:si=on:rtra=on_0 on Vampire---4 for (2826ds/8517Mi)
% 137.45/17.75 % (15519)Instruction limit reached!
% 137.45/17.75 % (15519)------------------------------
% 137.45/17.75 % (15519)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 137.45/17.75 % (15519)Termination reason: Unknown
% 137.45/17.75 % (15519)Termination phase: Saturation
% 137.45/17.75
% 137.45/17.75 % (15519)Memory used [KB]: 6908
% 137.45/17.75 % (15519)Time elapsed: 4.307 s
% 137.45/17.75 % (15519)Instructions burned: 15196 (million)
% 137.45/17.75 % (15519)------------------------------
% 137.45/17.75 % (15519)------------------------------
% 137.45/17.77 % (15532)dis+10_1:1_av=off:e2e=on:nm=4:s2a=on:i=10148:si=on:rtra=on_0 on Vampire---4 for (2826ds/10148Mi)
% 139.13/17.99 % (15528)Instruction limit reached!
% 139.13/17.99 % (15528)------------------------------
% 139.13/17.99 % (15528)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 139.13/17.99 % (15528)Termination reason: Unknown
% 139.13/17.99 % (15528)Termination phase: Saturation
% 139.13/17.99
% 139.13/17.99 % (15528)Memory used [KB]: 7547
% 139.13/17.99 % (15528)Time elapsed: 1.501 s
% 139.13/17.99 % (15528)Instructions burned: 4218 (million)
% 139.13/17.99 % (15528)------------------------------
% 139.13/17.99 % (15528)------------------------------
% 139.13/18.00 % (15533)lrs+10_1:2_ntd=on:nwc=10.0:plsq=on:plsqc=1:plsqr=2,1:ss=axioms:i=9078:si=on:rtra=on_0 on Vampire---4 for (2823ds/9078Mi)
% 139.13/18.01 % (15495)Refutation not found, non-redundant clauses discarded% (15495)------------------------------
% 139.13/18.01 % (15495)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 139.13/18.01 % (15495)Termination reason: Refutation not found, non-redundant clauses discarded
% 139.13/18.01
% 139.13/18.01 % (15495)Memory used [KB]: 17398
% 139.13/18.01 % (15495)Time elapsed: 8.739 s
% 139.13/18.01 % (15495)Instructions burned: 31306 (million)
% 139.13/18.01 % (15495)------------------------------
% 139.13/18.01 % (15495)------------------------------
% 139.13/18.02 % (15534)lrs+2_1:1_bet=on:bsr=on:cnfonf=lazy_pi_sigma_gen:er=filter:kws=inv_frequency:ntd=on:sd=3:ss=axioms:i=16164:si=on:rtra=on_0 on Vampire---4 for (2823ds/16164Mi)
% 142.06/18.49 % (15525)Instruction limit reached!
% 142.06/18.49 % (15525)------------------------------
% 142.06/18.49 % (15525)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 142.06/18.49 % (15525)Termination reason: Unknown
% 142.06/18.49 % (15525)Termination phase: Saturation
% 142.06/18.49
% 142.06/18.49 % (15525)Memory used [KB]: 6908
% 142.06/18.49 % (15525)Time elapsed: 3.070 s
% 142.06/18.49 % (15525)Instructions burned: 13164 (million)
% 142.06/18.49 % (15525)------------------------------
% 142.06/18.49 % (15525)------------------------------
% 142.06/18.52 % (15535)lrs+32_1:1_au=on:bet=on:cbe=off:cs=on:ins=3:i=6102:si=on:rtra=on_0 on Vampire---4 for (2818ds/6102Mi)
% 143.99/18.64 % (15527)Instruction limit reached!
% 143.99/18.64 % (15527)------------------------------
% 143.99/18.64 % (15527)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 143.99/18.64 % (15527)Termination reason: Unknown
% 143.99/18.64 % (15527)Termination phase: Saturation
% 143.99/18.64
% 143.99/18.64 % (15527)Memory used [KB]: 7931
% 143.99/18.64 % (15527)Time elapsed: 2.950 s
% 143.99/18.64 % (15527)Instructions burned: 10381 (million)
% 143.99/18.64 % (15527)------------------------------
% 143.99/18.64 % (15527)------------------------------
% 143.99/18.65 % (15536)lrs+1010_1:1_au=on:bd=off:e2e=on:fde=unused:nm=4:s2a=on:sos=all:sp=const_frequency:i=10308:si=on:rtra=on_0 on Vampire---4 for (2817ds/10308Mi)
% 143.99/18.67 % (15536)Refutation not found, incomplete strategy
% 143.99/18.67 % (15536)------------------------------
% 143.99/18.67 % (15536)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 143.99/18.67 % (15536)Termination reason: Refutation not found, incomplete strategy
% 143.99/18.67
% 143.99/18.67
% 143.99/18.67 % (15536)Memory used [KB]: 6140
% 143.99/18.67 % (15536)Time elapsed: 0.019 s
% 143.99/18.67 % (15536)Instructions burned: 63 (million)
% 143.99/18.67 % (15536)------------------------------
% 143.99/18.67 % (15536)------------------------------
% 144.75/18.68 % (15537)dis+1010_1:1_au=on:avsq=on:bd=off:cbe=off:cnfonf=off:cs=on:hud=5:nm=0:plsq=on:plsqc=1:plsqr=7,1:ss=axioms:tgt=full:i=4041:si=on:rtra=on_0 on Vampire---4 for (2817ds/4041Mi)
% 145.08/18.73 % (15537)Refutation not found, incomplete strategy
% 145.08/18.73 % (15537)------------------------------
% 145.08/18.73 % (15537)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 145.08/18.73 % (15537)Termination reason: Refutation not found, incomplete strategy
% 145.08/18.73
% 145.08/18.73
% 145.08/18.73 % (15537)Memory used [KB]: 6780
% 145.08/18.73 % (15537)Time elapsed: 0.051 s
% 145.08/18.73 % (15537)Instructions burned: 148 (million)
% 145.08/18.73 % (15537)------------------------------
% 145.08/18.73 % (15537)------------------------------
% 145.08/18.73 % (15538)dis+1002_1:1_acc=model:au=on:nwc=5.0:sd=5:ss=axioms:st=2.5:i=6901:si=on:rtra=on_0 on Vampire---4 for (2816ds/6901Mi)
% 152.41/19.64 % (15530)Instruction limit reached!
% 152.41/19.64 % (15530)------------------------------
% 152.41/19.64 % (15530)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 152.41/19.64 % (15530)Termination reason: Unknown
% 152.41/19.64 % (15530)Termination phase: Saturation
% 152.41/19.64
% 152.41/19.64 % (15530)Memory used [KB]: 6908
% 152.41/19.64 % (15530)Time elapsed: 2.659 s
% 152.41/19.64 % (15530)Instructions burned: 14014 (million)
% 152.41/19.64 % (15530)------------------------------
% 152.41/19.64 % (15530)------------------------------
% 152.41/19.65 % (15539)lrs-1_1:1_au=on:cbe=off:ntd=on:i=5576:si=on:rtra=on_0 on Vampire---4 for (2807ds/5576Mi)
% 155.19/20.03 % (15538)Instruction limit reached!
% 155.19/20.03 % (15538)------------------------------
% 155.19/20.03 % (15538)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 155.19/20.03 % (15538)Termination reason: Unknown
% 155.19/20.03 % (15538)Termination phase: Saturation
% 155.19/20.03
% 155.19/20.03 % (15538)Memory used [KB]: 6780
% 155.19/20.03 % (15538)Time elapsed: 1.298 s
% 155.19/20.03 % (15538)Instructions burned: 6903 (million)
% 155.19/20.03 % (15538)------------------------------
% 155.19/20.03 % (15538)------------------------------
% 155.19/20.04 % (15540)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=2014:si=on:rtra=on_0 on Vampire---4 for (2803ds/2014Mi)
% 157.31/20.26 % (15531)Instruction limit reached!
% 157.31/20.26 % (15531)------------------------------
% 157.31/20.26 % (15531)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 157.31/20.26 % (15531)Termination reason: Unknown
% 157.31/20.26 % (15531)Termination phase: Saturation
% 157.31/20.26
% 157.31/20.26 % (15531)Memory used [KB]: 11769
% 157.31/20.26 % (15531)Time elapsed: 2.545 s
% 157.31/20.26 % (15531)Instructions burned: 8520 (million)
% 157.31/20.26 % (15531)------------------------------
% 157.31/20.26 % (15531)------------------------------
% 157.31/20.27 % (15541)ott+1010_1:1_cnfonf=lazy_gen:fe=off:plsq=on:plsqc=1:plsqr=3548551,65536:s2a=on:i=5115:si=on:rtra=on_0 on Vampire---4 for (2801ds/5115Mi)
% 158.24/20.42 % (15540)Instruction limit reached!
% 158.24/20.42 % (15540)------------------------------
% 158.24/20.42 % (15540)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 158.24/20.42 % (15540)Termination reason: Unknown
% 158.24/20.42 % (15540)Termination phase: Saturation
% 158.24/20.42
% 158.24/20.42 % (15540)Memory used [KB]: 6780
% 158.24/20.42 % (15540)Time elapsed: 0.383 s
% 158.24/20.42 % (15540)Instructions burned: 2018 (million)
% 158.24/20.42 % (15540)------------------------------
% 158.24/20.42 % (15540)------------------------------
% 158.24/20.43 % (15542)lrs+2_1:1_au=on:cnfonf=lazy_pi_sigma_gen:sos=on:ss=axioms:i=13001:si=on:rtra=on_0 on Vampire---4 for (2799ds/13001Mi)
% 159.79/20.67 % (15535)Instruction limit reached!
% 159.79/20.67 % (15535)------------------------------
% 159.79/20.67 % (15535)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 159.79/20.67 % (15535)Termination reason: Unknown
% 159.79/20.67 % (15535)Termination phase: Saturation
% 159.79/20.67
% 159.79/20.67 % (15535)Memory used [KB]: 35436
% 159.79/20.67 % (15535)Time elapsed: 2.159 s
% 159.79/20.67 % (15535)Instructions burned: 6102 (million)
% 159.79/20.67 % (15535)------------------------------
% 159.79/20.67 % (15535)------------------------------
% 160.08/20.70 % (15543)dis+10_1:2_aac=none:acc=on:atotf=0.1:au=on:fde=none:ins=1:ixr=off:nwc=5.0:i=11105:si=on:rtra=on_0 on Vampire---4 for (2797ds/11105Mi)
% 160.08/20.73 % (15532)Instruction limit reached!
% 160.08/20.73 % (15532)------------------------------
% 160.08/20.73 % (15532)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 160.08/20.73 % (15532)Termination reason: Unknown
% 160.08/20.73 % (15532)Termination phase: Saturation
% 160.08/20.73
% 160.08/20.73 % (15532)Memory used [KB]: 2430
% 160.08/20.73 % (15532)Time elapsed: 2.920 s
% 160.08/20.73 % (15532)Instructions burned: 10149 (million)
% 160.08/20.73 % (15532)------------------------------
% 160.08/20.73 % (15532)------------------------------
% 160.08/20.75 % (15544)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=13832:si=on:rtra=on_0 on Vampire---4 for (2796ds/13832Mi)
% 162.08/20.86 % (15539)Instruction limit reached!
% 162.08/20.86 % (15539)------------------------------
% 162.08/20.86 % (15539)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 162.08/20.86 % (15539)Termination reason: Unknown
% 162.08/20.86 % (15539)Termination phase: Saturation
% 162.08/20.86
% 162.08/20.86 % (15539)Memory used [KB]: 6908
% 162.08/20.86 % (15539)Time elapsed: 1.212 s
% 162.08/20.86 % (15539)Instructions burned: 5576 (million)
% 162.08/20.86 % (15539)------------------------------
% 162.08/20.86 % (15539)------------------------------
% 162.08/20.87 % (15545)lrs+1010_1:1_au=on:s2a=on:sd=1:sgt=50:ss=axioms:i=32887:si=on:rtra=on_0 on Vampire---4 for (2795ds/32887Mi)
% 164.20/21.20 % (15533)Instruction limit reached!
% 164.20/21.20 % (15533)------------------------------
% 164.20/21.20 % (15533)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 164.20/21.20 % (15533)Termination reason: Unknown
% 164.20/21.20 % (15533)Termination phase: Saturation
% 164.20/21.20
% 164.20/21.20 % (15533)Memory used [KB]: 18677
% 164.20/21.20 % (15533)Time elapsed: 3.194 s
% 164.20/21.20 % (15533)Instructions burned: 9079 (million)
% 164.20/21.20 % (15533)------------------------------
% 164.20/21.20 % (15533)------------------------------
% 164.55/21.21 % (15546)dis+1010_2:1_avsq=on:fde=unused:prag=on:i=3362:si=on:rtra=on_0 on Vampire---4 for (2791ds/3362Mi)
% 168.94/21.74 % (15541)Instruction limit reached!
% 168.94/21.74 % (15541)------------------------------
% 168.94/21.74 % (15541)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 168.94/21.74 % (15541)Termination reason: Unknown
% 168.94/21.74 % (15541)Termination phase: Saturation
% 168.94/21.74
% 168.94/21.74 % (15541)Memory used [KB]: 7931
% 168.94/21.74 % (15541)Time elapsed: 1.491 s
% 168.94/21.74 % (15541)Instructions burned: 5116 (million)
% 168.94/21.74 % (15541)------------------------------
% 168.94/21.74 % (15541)------------------------------
% 169.24/21.76 % (15547)ott+1002_1:1_au=on:cnfonf=lazy_simp:nwc=5.0:sgt=5:ss=axioms:st=1.5:i=24965:si=on:rtra=on_0 on Vampire---4 for (2786ds/24965Mi)
% 172.09/22.14 % (15546)Instruction limit reached!
% 172.09/22.14 % (15546)------------------------------
% 172.09/22.14 % (15546)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 172.09/22.14 % (15546)Termination reason: Unknown
% 172.09/22.14 % (15546)Termination phase: Saturation
% 172.09/22.14
% 172.09/22.14 % (15546)Memory used [KB]: 14839
% 172.09/22.14 % (15546)Time elapsed: 0.938 s
% 172.09/22.14 % (15546)Instructions burned: 3363 (million)
% 172.09/22.14 % (15546)------------------------------
% 172.09/22.14 % (15546)------------------------------
% 172.09/22.16 % (15548)lrs+1010_2:1_amm=off:avsq=on:c=on:cbe=off:e2e=on:fsr=off:ins=3:s2a=on:s2at=-1.0:i=15705:si=on:rtra=on_0 on Vampire---4 for (2782ds/15705Mi)
% 183.88/23.63 % (15542)First to succeed.
% 184.35/23.67 % (15542)Refutation found. Thanks to Tanya!
% 184.35/23.67 % SZS status Theorem for Vampire---4
% 184.35/23.67 % SZS output start Proof for Vampire---4
% 184.35/23.67 thf(func_def_0, type, c_Eps_i: ($i > $o) > $i).
% 184.35/23.67 thf(func_def_3, type, c_not: $o > $o).
% 184.35/23.67 thf(func_def_4, type, c_and: $o > $o > $o).
% 184.35/23.67 thf(func_def_5, type, c_or: $o > $o > $o).
% 184.35/23.67 thf(func_def_6, type, c_iff: $o > $o > $o).
% 184.35/23.67 thf(func_def_7, type, c_In: $i > $i > $o).
% 184.35/23.67 thf(func_def_8, type, c_Subq: $i > $i > $o).
% 184.35/23.67 thf(func_def_10, type, c_Union: $i > $i).
% 184.35/23.67 thf(func_def_11, type, c_Power: $i > $i).
% 184.35/23.67 thf(func_def_12, type, c_Repl: $i > ($i > $i) > $i).
% 184.35/23.67 thf(func_def_13, type, c_TransSet: $i > $o).
% 184.35/23.67 thf(func_def_14, type, c_atleast2: $i > $o).
% 184.35/23.67 thf(func_def_15, type, c_atleast3: $i > $o).
% 184.35/23.67 thf(func_def_16, type, c_atleast4: $i > $o).
% 184.35/23.67 thf(func_def_17, type, c_atleast5: $i > $o).
% 184.35/23.67 thf(func_def_18, type, c_atleast6: $i > $o).
% 184.35/23.67 thf(func_def_19, type, c_exactly2: $i > $o).
% 184.35/23.67 thf(func_def_20, type, c_exactly3: $i > $o).
% 184.35/23.67 thf(func_def_21, type, c_exactly4: $i > $o).
% 184.35/23.67 thf(func_def_22, type, c_exactly5: $i > $o).
% 184.35/23.67 thf(func_def_23, type, c_exu_i: ($i > $o) > $o).
% 184.35/23.67 thf(func_def_24, type, c_reflexive_i: ($i > $i > $o) > $o).
% 184.35/23.67 thf(func_def_25, type, c_irreflexive_i: ($i > $i > $o) > $o).
% 184.35/23.67 thf(func_def_26, type, c_symmetric_i: ($i > $i > $o) > $o).
% 184.35/23.67 thf(func_def_27, type, c_antisymmetric_i: ($i > $i > $o) > $o).
% 184.35/23.67 thf(func_def_28, type, c_transitive_i: ($i > $i > $o) > $o).
% 184.35/23.67 thf(func_def_29, type, c_eqreln_i: ($i > $i > $o) > $o).
% 184.35/23.67 thf(func_def_30, type, c_per_i: ($i > $i > $o) > $o).
% 184.35/23.67 thf(func_def_31, type, c_linear_i: ($i > $i > $o) > $o).
% 184.35/23.67 thf(func_def_32, type, c_trichotomous_or_i: ($i > $i > $o) > $o).
% 184.35/23.67 thf(func_def_33, type, c_partialorder_i: ($i > $i > $o) > $o).
% 184.35/23.67 thf(func_def_34, type, c_totalorder_i: ($i > $i > $o) > $o).
% 184.35/23.67 thf(func_def_35, type, c_strictpartialorder_i: ($i > $i > $o) > $o).
% 184.35/23.67 thf(func_def_36, type, c_stricttotalorder_i: ($i > $i > $o) > $o).
% 184.35/23.67 thf(func_def_37, type, c_If_i: $o > $i > $i > $i).
% 184.35/23.67 thf(func_def_38, type, c_exactly1of2: $o > $o > $o).
% 184.35/23.67 thf(func_def_39, type, c_exactly1of3: $o > $o > $o > $o).
% 184.35/23.67 thf(func_def_40, type, c_nIn: $i > $i > $o).
% 184.35/23.67 thf(func_def_41, type, c_nSubq: $i > $i > $o).
% 184.35/23.67 thf(func_def_42, type, c_UPair: $i > $i > $i).
% 184.35/23.67 thf(func_def_43, type, c_Sing: $i > $i).
% 184.35/23.67 thf(func_def_44, type, c_binunion: $i > $i > $i).
% 184.35/23.67 thf(func_def_45, type, c_SetAdjoin: $i > $i > $i).
% 184.35/23.67 thf(func_def_46, type, c_famunion: $i > ($i > $i) > $i).
% 184.35/23.67 thf(func_def_47, type, c_Sep: $i > ($i > $o) > $i).
% 184.35/23.67 thf(func_def_48, type, c_ReplSep: $i > ($i > $o) > ($i > $i) > $i).
% 184.35/23.67 thf(func_def_49, type, c_binintersect: $i > $i > $i).
% 184.35/23.67 thf(func_def_50, type, c_setminus: $i > $i > $i).
% 184.35/23.67 thf(func_def_51, type, c_inj: $i > $i > ($i > $i) > $o).
% 184.35/23.67 thf(func_def_52, type, c_bij: $i > $i > ($i > $i) > $o).
% 184.35/23.67 thf(func_def_53, type, c_atleastp: $i > $i > $o).
% 184.35/23.67 thf(func_def_54, type, c_equip: $i > $i > $o).
% 184.35/23.67 thf(func_def_55, type, c_In_rec_poly_G_i: ($i > ($i > $i) > $i) > $i > $i > $o).
% 184.35/23.67 thf(func_def_56, type, c_In_rec_poly_i: ($i > ($i > $i) > $i) > $i > $i).
% 184.35/23.67 thf(func_def_57, type, c_ordsucc: $i > $i).
% 184.35/23.67 thf(func_def_58, type, c_nat_p: $i > $o).
% 184.35/23.67 thf(func_def_59, type, c_nat_primrec: $i > ($i > $i > $i) > $i > $i).
% 184.35/23.67 thf(func_def_60, type, c_add_nat: $i > $i > $i).
% 184.35/23.67 thf(func_def_61, type, c_mul_nat: $i > $i > $i).
% 184.35/23.67 thf(func_def_62, type, c_ordinal: $i > $o).
% 184.35/23.67 thf(func_def_63, type, c_V_: $i > $i).
% 184.35/23.67 thf(func_def_64, type, c_Inj1: $i > $i).
% 184.35/23.67 thf(func_def_65, type, c_Inj0: $i > $i).
% 184.35/23.67 thf(func_def_66, type, c_Unj: $i > $i).
% 184.35/23.67 thf(func_def_67, type, c_combine_funcs: $i > $i > ($i > $i) > ($i > $i) > $i > $i).
% 184.35/23.67 thf(func_def_68, type, c_setsum: $i > $i > $i).
% 184.35/23.67 thf(func_def_69, type, c_proj0: $i > $i).
% 184.35/23.67 thf(func_def_70, type, c_proj1: $i > $i).
% 184.35/23.67 thf(func_def_71, type, c_binrep: $i > $i > $i).
% 184.35/23.67 thf(func_def_72, type, c_lam: $i > ($i > $i) > $i).
% 184.35/23.67 thf(func_def_73, type, c_setprod: $i > $i > $i).
% 184.35/23.67 thf(func_def_74, type, c_ap: $i > $i > $i).
% 184.35/23.67 thf(func_def_75, type, c_setsum_p: $i > $o).
% 184.35/23.67 thf(func_def_76, type, c_tuple_p: $i > $i > $o).
% 184.35/23.67 thf(func_def_77, type, c_Pi: $i > ($i > $i) > $i).
% 184.35/23.67 thf(func_def_78, type, c_setexp: $i > $i > $i).
% 184.35/23.67 thf(func_def_79, type, c_Sep2: $i > ($i > $i) > ($i > $i > $o) > $i).
% 184.35/23.67 thf(func_def_80, type, c_set_of_pairs: $i > $o).
% 184.35/23.67 thf(func_def_81, type, c_lam2: $i > ($i > $i) > ($i > $i > $i) > $i).
% 184.35/23.67 thf(func_def_82, type, c_PNoEq_: $i > ($i > $o) > ($i > $o) > $o).
% 184.35/23.67 thf(func_def_83, type, c_PNoLt_: $i > ($i > $o) > ($i > $o) > $o).
% 184.35/23.67 thf(func_def_84, type, c_PNoLt: $i > ($i > $o) > $i > ($i > $o) > $o).
% 184.35/23.67 thf(func_def_85, type, c_PNoLe: $i > ($i > $o) > $i > ($i > $o) > $o).
% 184.35/23.67 thf(func_def_86, type, c_PNo_downc: ($i > ($i > $o) > $o) > $i > ($i > $o) > $o).
% 184.35/23.67 thf(func_def_87, type, c_PNo_upc: ($i > ($i > $o) > $o) > $i > ($i > $o) > $o).
% 184.35/23.67 thf(func_def_88, type, c_SNoElts_: $i > $i).
% 184.35/23.67 thf(func_def_89, type, c_SNo_: $i > $i > $o).
% 184.35/23.67 thf(func_def_90, type, c_PSNo: $i > ($i > $o) > $i).
% 184.35/23.67 thf(func_def_91, type, c_SNo: $i > $o).
% 184.35/23.67 thf(func_def_92, type, c_SNoLev: $i > $i).
% 184.35/23.67 thf(func_def_93, type, c_SNoEq_: $i > $i > $i > $o).
% 184.35/23.67 thf(func_def_94, type, c_SNoLt: $i > $i > $o).
% 184.35/23.67 thf(func_def_95, type, c_SNoLe: $i > $i > $o).
% 184.35/23.67 thf(func_def_96, type, c_binop_on: $i > ($i > $i > $i) > $o).
% 184.35/23.67 thf(func_def_97, type, c_Loop: $i > ($i > $i > $i) > ($i > $i > $i) > ($i > $i > $i) > $i > $o).
% 184.35/23.67 thf(func_def_98, type, c_Loop_with_defs: $i > ($i > $i > $i) > ($i > $i > $i) > ($i > $i > $i) > $i > ($i > $i > $i) > ($i > $i > $i > $i) > ($i > $i > $i) > ($i > $i > $i > $i) > ($i > $i > $i > $i) > ($i > $i > $i) > ($i > $i > $i) > ($i > $i > $i) > ($i > $i > $i) > $o).
% 184.35/23.67 thf(func_def_99, type, c_Loop_with_defs_cex1: $i > ($i > $i > $i) > ($i > $i > $i) > ($i > $i > $i) > $i > ($i > $i > $i) > ($i > $i > $i > $i) > ($i > $i > $i) > ($i > $i > $i > $i) > ($i > $i > $i > $i) > ($i > $i > $i) > ($i > $i > $i) > ($i > $i > $i) > ($i > $i > $i) > $o).
% 184.35/23.67 thf(func_def_100, type, c_Loop_with_defs_cex2: $i > ($i > $i > $i) > ($i > $i > $i) > ($i > $i > $i) > $i > ($i > $i > $i) > ($i > $i > $i > $i) > ($i > $i > $i) > ($i > $i > $i > $i) > ($i > $i > $i > $i) > ($i > $i > $i) > ($i > $i > $i) > ($i > $i > $i) > ($i > $i > $i) > $o).
% 184.35/23.67 thf(func_def_101, type, c_combinator: $i > $o).
% 184.35/23.67 thf(func_def_102, type, c_combinator_equiv: $i > $i > $o).
% 184.35/23.67 thf(func_def_103, type, c_equip_mod: $i > $i > $i > $o).
% 184.35/23.67 thf(func_def_133, type, ph1: !>[X0: $tType]:(X0)).
% 184.35/23.67 thf(func_def_135, type, sK3: (($i > $i) > (((($i > $i) > $i) > $i) > ($i > $i > $i) > $i > $i > $i) > $i > $o) > (($i > (($i > $i) > $i) > $i) > $i > $o) > $i > $i).
% 184.35/23.67 thf(func_def_136, type, sK4: (($i > $i) > (((($i > $i) > $i) > $i) > ($i > $i > $i) > $i > $i > $i) > $i > $o) > (($i > (($i > $i) > $i) > $i) > $i > $o) > $i).
% 184.35/23.67 thf(func_def_137, type, sK5: (($i > $i) > (((($i > $i) > $i) > $i) > ($i > $i > $i) > $i > $i > $i) > $i > $o) > (($i > (($i > $i) > $i) > $i) > $i > $o) > $i > $i > $i).
% 184.35/23.67 thf(func_def_138, type, sK6: (($i > $i) > (((($i > $i) > $i) > $i) > ($i > $i > $i) > $i > $i > $i) > $i > $o) > (($i > ($i > $i > $i) > $i) > $i > $i > $o) > (($i > $i > $i) > ($i > $i) > $i > $i) > $i).
% 184.35/23.67 thf(func_def_139, type, sK7: (($i > $i) > (((($i > $i) > $i) > $i) > ($i > $i > $i) > $i > $i > $i) > $i > $o) > (($i > ($i > $i > $i) > $i) > $i > $i > $o) > $i).
% 184.35/23.67 thf(func_def_140, type, sK8: (($i > $i) > (((($i > $i) > $i) > $i) > ($i > $i > $i) > $i > $i > $i) > $i > $o) > (($i > ($i > $i > $i) > $i) > $i > $i > $o) > $i).
% 184.35/23.67 thf(func_def_141, type, sK9: (($i > ($i > $i > $i) > $i) > $i > $i > $o) > ((($i > $i) > $i > $i) > $i) > $i).
% 184.35/23.67 thf(func_def_142, type, sK10: (($i > $i) > (((($i > $i) > $i) > $i) > ($i > $i > $i) > $i > $i > $i) > $i > $o) > (($i > $i > (($i > $i) > $i > $i) > $i) > $i > $i > $o) > $i > (($i > $i) > $i > $i) > $i).
% 184.35/23.67 thf(func_def_143, type, sK11: (($i > $i) > (((($i > $i) > $i) > $i) > ($i > $i > $i) > $i > $i > $i) > $i > $o) > (($i > $i > (($i > $i) > $i > $i) > $i) > $i > $i > $o) > ((($i > $i) > $i > $i) > ($i > $i) > $i > $i) > ($i > $i > $i) > $i).
% 184.35/23.67 thf(func_def_144, type, sK12: (($i > $i) > (((($i > $i) > $i) > $i) > ($i > $i > $i) > $i > $i > $i) > $i > $o) > (($i > $i > (($i > $i) > $i > $i) > $i) > $i > $i > $o) > $i).
% 184.35/23.67 thf(func_def_145, type, sK13: (($i > $i) > (((($i > $i) > $i) > $i) > ($i > $i > $i) > $i > $i > $i) > $i > $o) > $i).
% 184.35/23.67 thf(func_def_146, type, sK14: (($i > $i) > (((($i > $i) > $i) > $i) > ($i > $i > $i) > $i > $i > $i) > $i > $o) > $i).
% 184.35/23.67 thf(func_def_147, type, sK15: (($i > ($i > $i > $i) > $i) > $i > $i > $o) > $i).
% 184.35/23.67 thf(func_def_148, type, sK16: (($i > ($i > $i > $i) > $i) > $i > $i > $o) > $i).
% 184.35/23.67 thf(func_def_150, type, sK18: $i > $i).
% 184.35/23.67 thf(func_def_152, type, sK20: ((($i > $i) > $i > $i) > $i) > $i).
% 184.35/23.67 thf(func_def_153, type, sK21: ((($i > $i) > $i > $i) > $i) > $i).
% 184.35/23.67 thf(func_def_154, type, sK22: (($i > $i > $i) > ($i > $i) > $i > $i) > $i).
% 184.35/23.67 thf(func_def_157, type, sK25: (($i > $i > (($i > $i) > $i > $i) > $i) > $i > $i > $o) > $i > (($i > $i) > $i > $i) > $i).
% 184.35/23.67 thf(func_def_158, type, sK26: (($i > $i > (($i > $i) > $i > $i) > $i) > $i > $i > $o) > ((($i > $i) > $i > $i) > ($i > $i) > $i > $i) > ($i > $i > $i) > $i).
% 184.35/23.67 thf(func_def_159, type, sK27: (($i > $i > (($i > $i) > $i > $i) > $i) > $i > $i > $o) > $i).
% 184.35/23.67 thf(func_def_160, type, sK28: (($i > $i) > (((($i > $i) > $i) > $i) > ($i > $i > $i) > $i > $i > $i) > $i > $o) > $i).
% 184.35/23.67 thf(func_def_161, type, sK29: (($i > $i) > (((($i > $i) > $i) > $i) > ($i > $i > $i) > $i > $i > $i) > $i > $o) > $i).
% 184.35/23.67 thf(func_def_162, type, sK30: ((($i > $i) > $i > $i) > $i) > $i).
% 184.35/23.67 thf(func_def_165, type, sK33: (($i > (($i > $i) > $i) > $i) > $i > $o) > $i).
% 184.35/23.67 thf(func_def_167, type, sK35: $i > $i).
% 184.35/23.67 thf(func_def_168, type, sK36: (($i > (($i > $i) > $i) > $i) > $i > $o) > $i).
% 184.35/23.67 thf(func_def_169, type, sK37: (($i > (($i > $i) > $i) > $i) > $i > $o) > $i).
% 184.35/23.67 thf(func_def_170, type, sK38: (($i > (($i > $i) > $i) > $i) > $i > $o) > $i).
% 184.35/23.67 thf(func_def_171, type, sK39: (($i > (($i > $i) > $i) > $i) > $i > $o) > $i).
% 184.35/23.67 thf(func_def_173, type, sK41: ((($i > $i) > $i > $i) > $i) > $i).
% 184.35/23.67 thf(f1685,plain,(
% 184.35/23.67 $false),
% 184.35/23.67 inference(avatar_sat_refutation,[],[f598,f715,f784,f1486,f1555,f1684])).
% 184.35/23.67 thf(f1684,plain,(
% 184.35/23.67 ~spl0_28),
% 184.35/23.67 inference(avatar_contradiction_clause,[],[f1683])).
% 184.35/23.67 thf(f1683,plain,(
% 184.35/23.67 $false | ~spl0_28),
% 184.35/23.67 inference(trivial_inequality_removal,[],[f1682])).
% 184.35/23.67 thf(f1682,plain,(
% 184.35/23.67 ($true = $false) | ~spl0_28),
% 184.35/23.67 inference(beta_eta_normalization,[],[f1681])).
% 184.35/23.67 thf(f1681,plain,(
% 184.35/23.67 ($false = ((^[Y0 : ((($i > $i) > $i > $i) > $i) > $i]: ($true)) @ sK41)) | ~spl0_28),
% 184.35/23.67 inference(sigma_clausification,[],[f1660])).
% 184.35/23.67 thf(f1660,plain,(
% 184.35/23.67 ($false = (!! @ (((($i > $i) > $i > $i) > $i) > $i) @ (^[Y0 : ((($i > $i) > $i > $i) > $i) > $i]: ($true)))) | ~spl0_28),
% 184.35/23.67 inference(beta_eta_normalization,[],[f1659])).
% 184.35/23.67 thf(f1659,plain,(
% 184.35/23.67 ($false = ((^[Y0 : $i]: (!! @ (((($i > $i) > $i > $i) > $i) > $i) @ (^[Y1 : ((($i > $i) > $i > $i) > $i) > $i]: ($true)))) @ sK40)) | ~spl0_28),
% 184.35/23.67 inference(sigma_clausification,[],[f1653])).
% 184.35/23.67 thf(f1653,plain,(
% 184.35/23.67 ($false = (!! @ $i @ (^[Y0 : $i]: (!! @ (((($i > $i) > $i > $i) > $i) > $i) @ (^[Y1 : ((($i > $i) > $i > $i) > $i) > $i]: ($true)))))) | ~spl0_28),
% 184.35/23.67 inference(boolean_simplification,[],[f1652])).
% 184.35/23.67 thf(f1652,plain,(
% 184.35/23.67 ($false = (!! @ $i @ (^[Y0 : $i]: (!! @ (((($i > $i) > $i > $i) > $i) > $i) @ (^[Y1 : ((($i > $i) > $i > $i) > $i) > $i]: ((c_In @ (c_Inj1 @ c_Empty) @ Y0) => $true)))))) | ~spl0_28),
% 184.35/23.67 inference(boolean_simplification,[],[f1651])).
% 184.35/23.67 thf(f1651,plain,(
% 184.35/23.67 ($false = (!! @ $i @ (^[Y0 : $i]: (!! @ (((($i > $i) > $i > $i) > $i) > $i) @ (^[Y1 : ((($i > $i) > $i > $i) > $i) > $i]: ((c_In @ (c_Inj1 @ c_Empty) @ Y0) => (~ $false))))))) | ~spl0_28),
% 184.35/23.67 inference(trivial_inequality_removal,[],[f1650])).
% 184.35/23.67 thf(f1650,plain,(
% 184.35/23.67 ($false = (!! @ $i @ (^[Y0 : $i]: (!! @ (((($i > $i) > $i > $i) > $i) > $i) @ (^[Y1 : ((($i > $i) > $i > $i) > $i) > $i]: ((c_In @ (c_Inj1 @ c_Empty) @ Y0) => (~ $false))))))) | ($true = $false) | ~spl0_28),
% 184.35/23.67 inference(beta_eta_normalization,[],[f1644])).
% 184.35/23.67 thf(f1644,plain,(
% 184.35/23.67 ($true = ((^[Y0 : $i > (($i > $i) > $i) > $i]: ((^[Y1 : $i]: ($false)))) @ (^[Y0 : $i]: ((^[Y1 : ($i > $i) > $i]: (sK37 @ (^[Y2 : $i > (($i > $i) > $i) > $i]: ((^[Y3 : $i]: ($false)))))))) @ c_Empty)) | ($false = (!! @ $i @ (^[Y0 : $i]: (!! @ (((($i > $i) > $i > $i) > $i) > $i) @ (^[Y1 : ((($i > $i) > $i > $i) > $i) > $i]: ((c_In @ (c_Inj1 @ c_Empty) @ Y0) => (~ ((^[Y2 : $i > (($i > $i) > $i) > $i]: ((^[Y3 : $i]: ($false)))) @ (^[Y2 : $i]: ((^[Y3 : ($i > $i) > $i]: (c_Empty)))) @ c_Empty)))))))) | ~spl0_28),
% 184.35/23.67 inference(primitive_instantiation,[],[f1639])).
% 184.35/23.67 thf(f1639,plain,(
% 184.35/23.67 ( ! [X2 : ($i > (($i > $i) > $i) > $i) > $i > $o] : (($true = (X2 @ (^[Y0 : $i]: ((^[Y1 : ($i > $i) > $i]: (sK37 @ X2)))) @ c_Empty)) | ($false = (!! @ $i @ (^[Y0 : $i]: (!! @ (((($i > $i) > $i > $i) > $i) > $i) @ (^[Y1 : ((($i > $i) > $i > $i) > $i) > $i]: ((c_In @ (c_Inj1 @ c_Empty) @ Y0) => (~ (X2 @ (^[Y2 : $i]: ((^[Y3 : ($i > $i) > $i]: (c_Empty)))) @ c_Empty))))))))) ) | ~spl0_28),
% 184.35/23.67 inference(not_proxy_clausification,[],[f1637])).
% 184.35/23.67 thf(f1637,plain,(
% 184.35/23.67 ( ! [X2 : ($i > (($i > $i) > $i) > $i) > $i > $o] : (((~ (X2 @ (^[Y0 : $i]: ((^[Y1 : ($i > $i) > $i]: (sK37 @ X2)))) @ c_Empty)) = $false) | ($false = (!! @ $i @ (^[Y0 : $i]: (!! @ (((($i > $i) > $i > $i) > $i) > $i) @ (^[Y1 : ((($i > $i) > $i > $i) > $i) > $i]: ((c_In @ (c_Inj1 @ c_Empty) @ Y0) => (~ (X2 @ (^[Y2 : $i]: ((^[Y3 : ($i > $i) > $i]: (c_Empty)))) @ c_Empty))))))))) ) | ~spl0_28),
% 184.35/23.67 inference(binary_proxy_clausification,[],[f1636])).
% 184.35/23.67 thf(f1636,plain,(
% 184.35/23.67 ( ! [X2 : ($i > (($i > $i) > $i) > $i) > $i > $o] : (($false = (!! @ $i @ (^[Y0 : $i]: (!! @ (((($i > $i) > $i > $i) > $i) > $i) @ (^[Y1 : ((($i > $i) > $i > $i) > $i) > $i]: ((c_In @ (c_Inj1 @ c_Empty) @ Y0) => (~ (X2 @ (^[Y2 : $i]: ((^[Y3 : ($i > $i) > $i]: (c_Empty)))) @ c_Empty)))))))) | ($false = ((c_In @ (c_Repl @ (sK33 @ X2) @ c_Inj1) @ (c_binunion @ (c_Repl @ (c_binunion @ (c_Repl @ (sK38 @ X2) @ (^[Y0 : $i]: (c_Repl @ Y0 @ c_Inj1))) @ (c_Repl @ (c_binunion @ (c_Repl @ (sK36 @ X2) @ (^[Y0 : $i]: (c_Repl @ Y0 @ c_Inj1))) @ (c_Repl @ (c_binunion @ (c_Repl @ c_Empty @ (^[Y0 : $i]: (c_Repl @ Y0 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1)) @ c_Inj1)) @ c_Inj1)) @ (^[Y0 : $i]: (c_Repl @ Y0 @ c_Inj1))) @ (c_Repl @ (c_Inj1 @ (c_binunion @ (c_Repl @ (sK36 @ X2) @ (^[Y0 : $i]: (c_Repl @ Y0 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1))) @ c_Inj1))) => (~ (X2 @ (^[Y0 : $i]: ((^[Y1 : ($i > $i) > $i]: (sK37 @ X2)))) @ c_Empty))))) ) | ~spl0_28),
% 184.35/23.67 inference(beta_eta_normalization,[],[f1635])).
% 184.35/23.67 thf(f1635,plain,(
% 184.35/23.67 ( ! [X2 : ($i > (($i > $i) > $i) > $i) > $i > $o] : (($false = ((^[Y0 : $i]: ((c_In @ (c_Repl @ (sK33 @ X2) @ c_Inj1) @ (c_binunion @ (c_Repl @ (c_binunion @ (c_Repl @ Y0 @ (^[Y1 : $i]: (c_Repl @ Y1 @ c_Inj1))) @ (c_Repl @ (c_binunion @ (c_Repl @ (sK36 @ X2) @ (^[Y1 : $i]: (c_Repl @ Y1 @ c_Inj1))) @ (c_Repl @ (c_binunion @ (c_Repl @ c_Empty @ (^[Y1 : $i]: (c_Repl @ Y1 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1)) @ c_Inj1)) @ c_Inj1)) @ (^[Y1 : $i]: (c_Repl @ Y1 @ c_Inj1))) @ (c_Repl @ (c_Inj1 @ (c_binunion @ (c_Repl @ (sK36 @ X2) @ (^[Y1 : $i]: (c_Repl @ Y1 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1))) @ c_Inj1))) => (~ (X2 @ (^[Y1 : $i]: ((^[Y2 : ($i > $i) > $i]: (sK37 @ X2)))) @ c_Empty)))) @ (sK38 @ X2))) | ($false = (!! @ $i @ (^[Y0 : $i]: (!! @ (((($i > $i) > $i > $i) > $i) > $i) @ (^[Y1 : ((($i > $i) > $i > $i) > $i) > $i]: ((c_In @ (c_Inj1 @ c_Empty) @ Y0) => (~ (X2 @ (^[Y2 : $i]: ((^[Y3 : ($i > $i) > $i]: (c_Empty)))) @ c_Empty))))))))) ) | ~spl0_28),
% 184.35/23.67 inference(sigma_clausification,[],[f1632])).
% 184.35/23.67 thf(f1632,plain,(
% 184.35/23.67 ( ! [X2 : ($i > (($i > $i) > $i) > $i) > $i > $o] : (($false = (!! @ $i @ (^[Y0 : $i]: ((c_In @ (c_Repl @ (sK33 @ X2) @ c_Inj1) @ (c_binunion @ (c_Repl @ (c_binunion @ (c_Repl @ Y0 @ (^[Y1 : $i]: (c_Repl @ Y1 @ c_Inj1))) @ (c_Repl @ (c_binunion @ (c_Repl @ (sK36 @ X2) @ (^[Y1 : $i]: (c_Repl @ Y1 @ c_Inj1))) @ (c_Repl @ (c_binunion @ (c_Repl @ c_Empty @ (^[Y1 : $i]: (c_Repl @ Y1 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1)) @ c_Inj1)) @ c_Inj1)) @ (^[Y1 : $i]: (c_Repl @ Y1 @ c_Inj1))) @ (c_Repl @ (c_Inj1 @ (c_binunion @ (c_Repl @ (sK36 @ X2) @ (^[Y1 : $i]: (c_Repl @ Y1 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1))) @ c_Inj1))) => (~ (X2 @ (^[Y1 : $i]: ((^[Y2 : ($i > $i) > $i]: (sK37 @ X2)))) @ c_Empty)))))) | ($false = (!! @ $i @ (^[Y0 : $i]: (!! @ (((($i > $i) > $i > $i) > $i) > $i) @ (^[Y1 : ((($i > $i) > $i > $i) > $i) > $i]: ((c_In @ (c_Inj1 @ c_Empty) @ Y0) => (~ (X2 @ (^[Y2 : $i]: ((^[Y3 : ($i > $i) > $i]: (c_Empty)))) @ c_Empty))))))))) ) | ~spl0_28),
% 184.35/23.67 inference(beta_eta_normalization,[],[f1631])).
% 184.35/23.67 thf(f1631,plain,(
% 184.35/23.67 ( ! [X2 : ($i > (($i > $i) > $i) > $i) > $i > $o] : ((((^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((c_In @ (c_Repl @ (sK33 @ X2) @ c_Inj1) @ (c_binunion @ (c_Repl @ (c_binunion @ (c_Repl @ Y1 @ (^[Y2 : $i]: (c_Repl @ Y2 @ c_Inj1))) @ (c_Repl @ (c_binunion @ (c_Repl @ (sK36 @ X2) @ (^[Y2 : $i]: (c_Repl @ Y2 @ c_Inj1))) @ (c_Repl @ (c_binunion @ (c_Repl @ c_Empty @ (^[Y2 : $i]: (c_Repl @ Y2 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1)) @ c_Inj1)) @ c_Inj1)) @ (^[Y2 : $i]: (c_Repl @ Y2 @ c_Inj1))) @ (c_Repl @ (c_Inj1 @ (c_binunion @ (c_Repl @ (sK36 @ X2) @ (^[Y2 : $i]: (c_Repl @ Y2 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1))) @ c_Inj1))) => (~ (X2 @ (^[Y2 : $i]: ((^[Y3 : ($i > $i) > $i]: (Y0)))) @ c_Empty)))))) @ (sK37 @ X2)) = $false) | ($false = (!! @ $i @ (^[Y0 : $i]: (!! @ (((($i > $i) > $i > $i) > $i) > $i) @ (^[Y1 : ((($i > $i) > $i > $i) > $i) > $i]: ((c_In @ (c_Inj1 @ c_Empty) @ Y0) => (~ (X2 @ (^[Y2 : $i]: ((^[Y3 : ($i > $i) > $i]: (c_Empty)))) @ c_Empty))))))))) ) | ~spl0_28),
% 184.35/23.67 inference(sigma_clausification,[],[f1613])).
% 184.35/23.67 thf(f1613,plain,(
% 184.35/23.67 ( ! [X2 : ($i > (($i > $i) > $i) > $i) > $i > $o] : (((!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((c_In @ (c_Repl @ (sK33 @ X2) @ c_Inj1) @ (c_binunion @ (c_Repl @ (c_binunion @ (c_Repl @ Y1 @ (^[Y2 : $i]: (c_Repl @ Y2 @ c_Inj1))) @ (c_Repl @ (c_binunion @ (c_Repl @ (sK36 @ X2) @ (^[Y2 : $i]: (c_Repl @ Y2 @ c_Inj1))) @ (c_Repl @ (c_binunion @ (c_Repl @ c_Empty @ (^[Y2 : $i]: (c_Repl @ Y2 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1)) @ c_Inj1)) @ c_Inj1)) @ (^[Y2 : $i]: (c_Repl @ Y2 @ c_Inj1))) @ (c_Repl @ (c_Inj1 @ (c_binunion @ (c_Repl @ (sK36 @ X2) @ (^[Y2 : $i]: (c_Repl @ Y2 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1))) @ c_Inj1))) => (~ (X2 @ (^[Y2 : $i]: ((^[Y3 : ($i > $i) > $i]: (Y0)))) @ c_Empty))))))) = $false) | ($false = (!! @ $i @ (^[Y0 : $i]: (!! @ (((($i > $i) > $i > $i) > $i) > $i) @ (^[Y1 : ((($i > $i) > $i > $i) > $i) > $i]: ((c_In @ (c_Inj1 @ c_Empty) @ Y0) => (~ (X2 @ (^[Y2 : $i]: ((^[Y3 : ($i > $i) > $i]: (c_Empty)))) @ c_Empty))))))))) ) | ~spl0_28),
% 184.35/23.67 inference(beta_eta_normalization,[],[f1612])).
% 184.35/23.67 thf(f1612,plain,(
% 184.35/23.67 ( ! [X2 : ($i > (($i > $i) > $i) > $i) > $i > $o] : (($false = (!! @ $i @ (^[Y0 : $i]: (!! @ (((($i > $i) > $i > $i) > $i) > $i) @ (^[Y1 : ((($i > $i) > $i > $i) > $i) > $i]: ((c_In @ (c_Inj1 @ c_Empty) @ Y0) => (~ (X2 @ (^[Y2 : $i]: ((^[Y3 : ($i > $i) > $i]: (c_Empty)))) @ c_Empty)))))))) | (((^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((c_In @ (c_Repl @ (sK33 @ X2) @ c_Inj1) @ (c_binunion @ (c_Repl @ (c_binunion @ (c_Repl @ Y2 @ (^[Y3 : $i]: (c_Repl @ Y3 @ c_Inj1))) @ (c_Repl @ (c_binunion @ (c_Repl @ Y0 @ (^[Y3 : $i]: (c_Repl @ Y3 @ c_Inj1))) @ (c_Repl @ (c_binunion @ (c_Repl @ c_Empty @ (^[Y3 : $i]: (c_Repl @ Y3 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1)) @ c_Inj1)) @ c_Inj1)) @ (^[Y3 : $i]: (c_Repl @ Y3 @ c_Inj1))) @ (c_Repl @ (c_Inj1 @ (c_binunion @ (c_Repl @ Y0 @ (^[Y3 : $i]: (c_Repl @ Y3 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1))) @ c_Inj1))) => (~ (X2 @ (^[Y3 : $i]: ((^[Y4 : ($i > $i) > $i]: (Y1)))) @ c_Empty)))))))) @ (sK36 @ X2)) = $false)) ) | ~spl0_28),
% 184.35/23.67 inference(sigma_clausification,[],[f1575])).
% 184.35/23.67 thf(f1575,plain,(
% 184.35/23.67 ( ! [X2 : ($i > (($i > $i) > $i) > $i) > $i > $o] : (($false = (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((c_In @ (c_Repl @ (sK33 @ X2) @ c_Inj1) @ (c_binunion @ (c_Repl @ (c_binunion @ (c_Repl @ Y2 @ (^[Y3 : $i]: (c_Repl @ Y3 @ c_Inj1))) @ (c_Repl @ (c_binunion @ (c_Repl @ Y0 @ (^[Y3 : $i]: (c_Repl @ Y3 @ c_Inj1))) @ (c_Repl @ (c_binunion @ (c_Repl @ c_Empty @ (^[Y3 : $i]: (c_Repl @ Y3 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1)) @ c_Inj1)) @ c_Inj1)) @ (^[Y3 : $i]: (c_Repl @ Y3 @ c_Inj1))) @ (c_Repl @ (c_Inj1 @ (c_binunion @ (c_Repl @ Y0 @ (^[Y3 : $i]: (c_Repl @ Y3 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1))) @ c_Inj1))) => (~ (X2 @ (^[Y3 : $i]: ((^[Y4 : ($i > $i) > $i]: (Y1)))) @ c_Empty)))))))))) | ($false = (!! @ $i @ (^[Y0 : $i]: (!! @ (((($i > $i) > $i > $i) > $i) > $i) @ (^[Y1 : ((($i > $i) > $i > $i) > $i) > $i]: ((c_In @ (c_Inj1 @ c_Empty) @ Y0) => (~ (X2 @ (^[Y2 : $i]: ((^[Y3 : ($i > $i) > $i]: (c_Empty)))) @ c_Empty))))))))) ) | ~spl0_28),
% 184.35/23.67 inference(beta_eta_normalization,[],[f1574])).
% 184.35/23.67 thf(f1574,plain,(
% 184.35/23.67 ( ! [X2 : ($i > (($i > $i) > $i) > $i) > $i > $o] : ((((^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: ((c_In @ (c_Repl @ Y0 @ c_Inj1) @ (c_binunion @ (c_Repl @ (c_binunion @ (c_Repl @ Y3 @ (^[Y4 : $i]: (c_Repl @ Y4 @ c_Inj1))) @ (c_Repl @ (c_binunion @ (c_Repl @ Y1 @ (^[Y4 : $i]: (c_Repl @ Y4 @ c_Inj1))) @ (c_Repl @ (c_binunion @ (c_Repl @ c_Empty @ (^[Y4 : $i]: (c_Repl @ Y4 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1)) @ c_Inj1)) @ c_Inj1)) @ (^[Y4 : $i]: (c_Repl @ Y4 @ c_Inj1))) @ (c_Repl @ (c_Inj1 @ (c_binunion @ (c_Repl @ Y1 @ (^[Y4 : $i]: (c_Repl @ Y4 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1))) @ c_Inj1))) => (~ (X2 @ (^[Y4 : $i]: ((^[Y5 : ($i > $i) > $i]: (Y2)))) @ c_Empty)))))))))) @ (sK33 @ X2)) = $false) | ($false = (!! @ $i @ (^[Y0 : $i]: (!! @ (((($i > $i) > $i > $i) > $i) > $i) @ (^[Y1 : ((($i > $i) > $i > $i) > $i) > $i]: ((c_In @ (c_Inj1 @ c_Empty) @ Y0) => (~ (X2 @ (^[Y2 : $i]: ((^[Y3 : ($i > $i) > $i]: (c_Empty)))) @ c_Empty))))))))) ) | ~spl0_28),
% 184.35/23.67 inference(sigma_clausification,[],[f1485])).
% 184.35/23.67 thf(f1485,plain,(
% 184.35/23.67 ( ! [X2 : ($i > (($i > $i) > $i) > $i) > $i > $o] : (($false = (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: ((c_In @ (c_Repl @ Y0 @ c_Inj1) @ (c_binunion @ (c_Repl @ (c_binunion @ (c_Repl @ Y3 @ (^[Y4 : $i]: (c_Repl @ Y4 @ c_Inj1))) @ (c_Repl @ (c_binunion @ (c_Repl @ Y1 @ (^[Y4 : $i]: (c_Repl @ Y4 @ c_Inj1))) @ (c_Repl @ (c_binunion @ (c_Repl @ c_Empty @ (^[Y4 : $i]: (c_Repl @ Y4 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1)) @ c_Inj1)) @ c_Inj1)) @ (^[Y4 : $i]: (c_Repl @ Y4 @ c_Inj1))) @ (c_Repl @ (c_Inj1 @ (c_binunion @ (c_Repl @ Y1 @ (^[Y4 : $i]: (c_Repl @ Y4 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1))) @ c_Inj1))) => (~ (X2 @ (^[Y4 : $i]: ((^[Y5 : ($i > $i) > $i]: (Y2)))) @ c_Empty)))))))))))) | ($false = (!! @ $i @ (^[Y0 : $i]: (!! @ (((($i > $i) > $i > $i) > $i) > $i) @ (^[Y1 : ((($i > $i) > $i > $i) > $i) > $i]: ((c_In @ (c_Inj1 @ c_Empty) @ Y0) => (~ (X2 @ (^[Y2 : $i]: ((^[Y3 : ($i > $i) > $i]: (c_Empty)))) @ c_Empty))))))))) ) | ~spl0_28),
% 184.35/23.67 inference(avatar_component_clause,[],[f1484])).
% 184.35/23.67 thf(f1484,plain,(
% 184.35/23.67 spl0_28 <=> ! [X2 : ($i > (($i > $i) > $i) > $i) > $i > $o] : (($false = (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: ((c_In @ (c_Repl @ Y0 @ c_Inj1) @ (c_binunion @ (c_Repl @ (c_binunion @ (c_Repl @ Y3 @ (^[Y4 : $i]: (c_Repl @ Y4 @ c_Inj1))) @ (c_Repl @ (c_binunion @ (c_Repl @ Y1 @ (^[Y4 : $i]: (c_Repl @ Y4 @ c_Inj1))) @ (c_Repl @ (c_binunion @ (c_Repl @ c_Empty @ (^[Y4 : $i]: (c_Repl @ Y4 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1)) @ c_Inj1)) @ c_Inj1)) @ (^[Y4 : $i]: (c_Repl @ Y4 @ c_Inj1))) @ (c_Repl @ (c_Inj1 @ (c_binunion @ (c_Repl @ Y1 @ (^[Y4 : $i]: (c_Repl @ Y4 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1))) @ c_Inj1))) => (~ (X2 @ (^[Y4 : $i]: ((^[Y5 : ($i > $i) > $i]: (Y2)))) @ c_Empty)))))))))))) | ($false = (!! @ $i @ (^[Y0 : $i]: (!! @ (((($i > $i) > $i > $i) > $i) > $i) @ (^[Y1 : ((($i > $i) > $i > $i) > $i) > $i]: ((c_In @ (c_Inj1 @ c_Empty) @ Y0) => (~ (X2 @ (^[Y2 : $i]: ((^[Y3 : ($i > $i) > $i]: (c_Empty)))) @ c_Empty)))))))))),
% 184.35/23.67 introduced(avatar_definition,[new_symbols(naming,[spl0_28])])).
% 184.35/23.67 thf(f1555,plain,(
% 184.35/23.67 ~spl0_4),
% 184.35/23.67 inference(avatar_contradiction_clause,[],[f1554])).
% 184.35/23.67 thf(f1554,plain,(
% 184.35/23.67 $false | ~spl0_4),
% 184.35/23.67 inference(trivial_inequality_removal,[],[f1553])).
% 184.35/23.67 thf(f1553,plain,(
% 184.35/23.67 ($true = $false) | ~spl0_4),
% 184.35/23.67 inference(beta_eta_normalization,[],[f1552])).
% 184.35/23.67 thf(f1552,plain,(
% 184.35/23.67 (((^[Y0 : $i > $i]: ($true)) @ sK35) = $false) | ~spl0_4),
% 184.35/23.67 inference(sigma_clausification,[],[f1514])).
% 184.35/23.67 thf(f1514,plain,(
% 184.35/23.67 ($false = (!! @ ($i > $i) @ (^[Y0 : $i > $i]: ($true)))) | ~spl0_4),
% 184.35/23.67 inference(beta_eta_normalization,[],[f1513])).
% 184.35/23.67 thf(f1513,plain,(
% 184.35/23.67 (((^[Y0 : $i]: (!! @ ($i > $i) @ (^[Y1 : $i > $i]: ($true)))) @ sK34) = $false) | ~spl0_4),
% 184.35/23.67 inference(sigma_clausification,[],[f470])).
% 184.35/23.67 thf(f470,plain,(
% 184.35/23.67 ($false = (!! @ $i @ (^[Y0 : $i]: (!! @ ($i > $i) @ (^[Y1 : $i > $i]: ($true)))))) | ~spl0_4),
% 184.35/23.67 inference(avatar_component_clause,[],[f468])).
% 184.35/23.67 thf(f468,plain,(
% 184.35/23.67 spl0_4 <=> ($false = (!! @ $i @ (^[Y0 : $i]: (!! @ ($i > $i) @ (^[Y1 : $i > $i]: ($true))))))),
% 184.35/23.67 introduced(avatar_definition,[new_symbols(naming,[spl0_4])])).
% 184.35/23.67 thf(f1486,plain,(
% 184.35/23.67 spl0_4 | spl0_28 | ~spl0_13),
% 184.35/23.67 inference(avatar_split_clause,[],[f1464,f592,f1484,f468])).
% 184.35/23.67 thf(f592,plain,(
% 184.35/23.67 spl0_13 <=> ! [X4 : ($i > $i > (($i > $i) > $i > $i) > $i) > $i > $i > $o,X2 : ($i > (($i > $i) > $i) > $i) > $i > $o] : (($false = (!! @ $i @ (^[Y0 : $i]: (!! @ (((($i > $i) > $i > $i) > $i) > $i) @ (^[Y1 : ((($i > $i) > $i > $i) > $i) > $i]: ((c_In @ (c_Inj1 @ c_Empty) @ Y0) => ((X2 @ (^[Y2 : $i]: ((^[Y3 : ($i > $i) > $i]: (c_Empty)))) @ c_Empty) => (X4 @ (^[Y2 : $i]: ((^[Y3 : $i]: ((^[Y4 : ($i > $i) > $i > $i]: (c_Inj1 @ c_Empty)))))) @ (c_Inj1 @ (c_Inj1 @ (Y1 @ (^[Y2 : ($i > $i) > $i > $i]: (c_Empty))))) @ (c_Inj1 @ (c_binunion @ (c_Repl @ (c_binunion @ (c_Repl @ (c_Repl @ c_Empty @ c_Inj1) @ (^[Y2 : $i]: (c_Repl @ Y2 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1)) @ (^[Y2 : $i]: (c_Repl @ Y2 @ c_Inj1))) @ (c_Repl @ (c_Inj1 @ (c_Repl @ c_Empty @ c_Inj1)) @ c_Inj1))))))))))) | ($false = (!! @ ($i > (($i > $i) > $i > $i) > $i) @ (^[Y0 : $i > (($i > $i) > $i > $i) > $i]: (!! @ (((($i > $i) > $i > $i) > ($i > $i) > $i > $i) > ($i > $i > $i) > $i) @ (^[Y1 : ((($i > $i) > $i > $i) > ($i > $i) > $i > $i) > ($i > $i > $i) > $i]: (!! @ $i @ (^[Y2 : $i]: ((c_In @ (c_Repl @ c_Empty @ c_Inj1) @ (c_binunion @ (c_Repl @ c_Empty @ (^[Y3 : $i]: (c_Repl @ Y3 @ c_Inj1))) @ (c_Repl @ (Y0 @ (c_Repl @ (c_binunion @ (c_Repl @ c_Empty @ (^[Y3 : $i]: (c_Repl @ Y3 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1)) @ c_Inj1) @ (^[Y3 : $i > $i]: ((^[Y4 : $i]: (c_Repl @ c_Empty @ c_Inj1))))) @ c_Inj1))) => (~ (X4 @ (^[Y3 : $i]: ((^[Y4 : $i]: ((^[Y5 : ($i > $i) > $i > $i]: (Y3)))))) @ Y2 @ (Y1 @ (^[Y3 : ($i > $i) > $i > $i]: ((^[Y4 : $i > $i]: ((^[Y5 : $i]: (c_Inj1 @ c_Empty)))))) @ (^[Y3 : $i]: ((^[Y4 : $i]: (c_Empty))))))))))))))) | ($false = (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: ((c_In @ (c_Repl @ Y0 @ c_Inj1) @ (c_binunion @ (c_Repl @ (c_binunion @ (c_Repl @ Y3 @ (^[Y4 : $i]: (c_Repl @ Y4 @ c_Inj1))) @ (c_Repl @ (c_binunion @ (c_Repl @ Y1 @ (^[Y4 : $i]: (c_Repl @ Y4 @ c_Inj1))) @ (c_Repl @ (c_binunion @ (c_Repl @ c_Empty @ (^[Y4 : $i]: (c_Repl @ Y4 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1)) @ c_Inj1)) @ c_Inj1)) @ (^[Y4 : $i]: (c_Repl @ Y4 @ c_Inj1))) @ (c_Repl @ (c_Inj1 @ (c_binunion @ (c_Repl @ Y1 @ (^[Y4 : $i]: (c_Repl @ Y4 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1))) @ c_Inj1))) => (~ (X2 @ (^[Y4 : $i]: ((^[Y5 : ($i > $i) > $i]: (Y2)))) @ c_Empty)))))))))))) | ((!! @ $i @ (^[Y0 : $i]: (!! @ ($i > $i) @ (^[Y1 : $i > $i]: (~ (X4 @ (^[Y2 : $i]: ((^[Y3 : $i]: ((^[Y4 : ($i > $i) > $i > $i]: (c_Empty)))))) @ (Y1 @ c_Empty) @ Y0)))))) = $false))),
% 184.35/23.67 introduced(avatar_definition,[new_symbols(naming,[spl0_13])])).
% 184.35/23.67 thf(f1464,plain,(
% 184.35/23.67 ( ! [X2 : ($i > (($i > $i) > $i) > $i) > $i > $o] : (($false = (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: ((c_In @ (c_Repl @ Y0 @ c_Inj1) @ (c_binunion @ (c_Repl @ (c_binunion @ (c_Repl @ Y3 @ (^[Y4 : $i]: (c_Repl @ Y4 @ c_Inj1))) @ (c_Repl @ (c_binunion @ (c_Repl @ Y1 @ (^[Y4 : $i]: (c_Repl @ Y4 @ c_Inj1))) @ (c_Repl @ (c_binunion @ (c_Repl @ c_Empty @ (^[Y4 : $i]: (c_Repl @ Y4 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1)) @ c_Inj1)) @ c_Inj1)) @ (^[Y4 : $i]: (c_Repl @ Y4 @ c_Inj1))) @ (c_Repl @ (c_Inj1 @ (c_binunion @ (c_Repl @ Y1 @ (^[Y4 : $i]: (c_Repl @ Y4 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1))) @ c_Inj1))) => (~ (X2 @ (^[Y4 : $i]: ((^[Y5 : ($i > $i) > $i]: (Y2)))) @ c_Empty)))))))))))) | ($false = (!! @ $i @ (^[Y0 : $i]: (!! @ (((($i > $i) > $i > $i) > $i) > $i) @ (^[Y1 : ((($i > $i) > $i > $i) > $i) > $i]: ((c_In @ (c_Inj1 @ c_Empty) @ Y0) => (~ (X2 @ (^[Y2 : $i]: ((^[Y3 : ($i > $i) > $i]: (c_Empty)))) @ c_Empty)))))))) | ($false = (!! @ $i @ (^[Y0 : $i]: (!! @ ($i > $i) @ (^[Y1 : $i > $i]: ($true))))))) ) | ~spl0_13),
% 184.35/23.67 inference(boolean_simplification,[],[f1463])).
% 184.35/23.67 thf(f1463,plain,(
% 184.35/23.67 ( ! [X2 : ($i > (($i > $i) > $i) > $i) > $i > $o] : (($false = (!! @ $i @ (^[Y0 : $i]: (!! @ (((($i > $i) > $i > $i) > $i) > $i) @ (^[Y1 : ((($i > $i) > $i > $i) > $i) > $i]: ((c_In @ (c_Inj1 @ c_Empty) @ Y0) => ((X2 @ (^[Y2 : $i]: ((^[Y3 : ($i > $i) > $i]: (c_Empty)))) @ c_Empty) => $false))))))) | ($false = (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: ((c_In @ (c_Repl @ Y0 @ c_Inj1) @ (c_binunion @ (c_Repl @ (c_binunion @ (c_Repl @ Y3 @ (^[Y4 : $i]: (c_Repl @ Y4 @ c_Inj1))) @ (c_Repl @ (c_binunion @ (c_Repl @ Y1 @ (^[Y4 : $i]: (c_Repl @ Y4 @ c_Inj1))) @ (c_Repl @ (c_binunion @ (c_Repl @ c_Empty @ (^[Y4 : $i]: (c_Repl @ Y4 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1)) @ c_Inj1)) @ c_Inj1)) @ (^[Y4 : $i]: (c_Repl @ Y4 @ c_Inj1))) @ (c_Repl @ (c_Inj1 @ (c_binunion @ (c_Repl @ Y1 @ (^[Y4 : $i]: (c_Repl @ Y4 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1))) @ c_Inj1))) => (~ (X2 @ (^[Y4 : $i]: ((^[Y5 : ($i > $i) > $i]: (Y2)))) @ c_Empty)))))))))))) | ($false = (!! @ $i @ (^[Y0 : $i]: (!! @ ($i > $i) @ (^[Y1 : $i > $i]: ($true))))))) ) | ~spl0_13),
% 184.35/23.67 inference(boolean_simplification,[],[f1462])).
% 184.35/23.67 thf(f1462,plain,(
% 184.35/23.67 ( ! [X2 : ($i > (($i > $i) > $i) > $i) > $i > $o] : (($false = (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: ((c_In @ (c_Repl @ Y0 @ c_Inj1) @ (c_binunion @ (c_Repl @ (c_binunion @ (c_Repl @ Y3 @ (^[Y4 : $i]: (c_Repl @ Y4 @ c_Inj1))) @ (c_Repl @ (c_binunion @ (c_Repl @ Y1 @ (^[Y4 : $i]: (c_Repl @ Y4 @ c_Inj1))) @ (c_Repl @ (c_binunion @ (c_Repl @ c_Empty @ (^[Y4 : $i]: (c_Repl @ Y4 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1)) @ c_Inj1)) @ c_Inj1)) @ (^[Y4 : $i]: (c_Repl @ Y4 @ c_Inj1))) @ (c_Repl @ (c_Inj1 @ (c_binunion @ (c_Repl @ Y1 @ (^[Y4 : $i]: (c_Repl @ Y4 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1))) @ c_Inj1))) => (~ (X2 @ (^[Y4 : $i]: ((^[Y5 : ($i > $i) > $i]: (Y2)))) @ c_Empty)))))))))))) | ((!! @ $i @ (^[Y0 : $i]: (!! @ ($i > $i) @ (^[Y1 : $i > $i]: (~ $false))))) = $false) | ($false = (!! @ $i @ (^[Y0 : $i]: (!! @ (((($i > $i) > $i > $i) > $i) > $i) @ (^[Y1 : ((($i > $i) > $i > $i) > $i) > $i]: ((c_In @ (c_Inj1 @ c_Empty) @ Y0) => ((X2 @ (^[Y2 : $i]: ((^[Y3 : ($i > $i) > $i]: (c_Empty)))) @ c_Empty) => $false)))))))) ) | ~spl0_13),
% 184.35/23.67 inference(trivial_inequality_removal,[],[f1461])).
% 184.35/23.67 thf(f1461,plain,(
% 184.35/23.67 ( ! [X2 : ($i > (($i > $i) > $i) > $i) > $i > $o] : (($false = (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: ((c_In @ (c_Repl @ Y0 @ c_Inj1) @ (c_binunion @ (c_Repl @ (c_binunion @ (c_Repl @ Y3 @ (^[Y4 : $i]: (c_Repl @ Y4 @ c_Inj1))) @ (c_Repl @ (c_binunion @ (c_Repl @ Y1 @ (^[Y4 : $i]: (c_Repl @ Y4 @ c_Inj1))) @ (c_Repl @ (c_binunion @ (c_Repl @ c_Empty @ (^[Y4 : $i]: (c_Repl @ Y4 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1)) @ c_Inj1)) @ c_Inj1)) @ (^[Y4 : $i]: (c_Repl @ Y4 @ c_Inj1))) @ (c_Repl @ (c_Inj1 @ (c_binunion @ (c_Repl @ Y1 @ (^[Y4 : $i]: (c_Repl @ Y4 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1))) @ c_Inj1))) => (~ (X2 @ (^[Y4 : $i]: ((^[Y5 : ($i > $i) > $i]: (Y2)))) @ c_Empty)))))))))))) | ($false = (!! @ $i @ (^[Y0 : $i]: (!! @ (((($i > $i) > $i > $i) > $i) > $i) @ (^[Y1 : ((($i > $i) > $i > $i) > $i) > $i]: ((c_In @ (c_Inj1 @ c_Empty) @ Y0) => ((X2 @ (^[Y2 : $i]: ((^[Y3 : ($i > $i) > $i]: (c_Empty)))) @ c_Empty) => $false))))))) | ((!! @ $i @ (^[Y0 : $i]: (!! @ ($i > $i) @ (^[Y1 : $i > $i]: (~ $false))))) = $false) | ($true = $false)) ) | ~spl0_13),
% 184.35/23.67 inference(beta_eta_normalization,[],[f1459])).
% 184.35/23.67 thf(f1459,plain,(
% 184.35/23.67 ( ! [X2 : ($i > (($i > $i) > $i) > $i) > $i > $o] : (($false = (!! @ $i @ (^[Y0 : $i]: (!! @ ($i > $i) @ (^[Y1 : $i > $i]: (~ ((^[Y2 : $i > $i > (($i > $i) > $i > $i) > $i]: ((^[Y3 : $i]: ((^[Y4 : $i]: ($false)))))) @ (^[Y2 : $i]: ((^[Y3 : $i]: ((^[Y4 : ($i > $i) > $i > $i]: (c_Empty)))))) @ (Y1 @ c_Empty) @ Y0))))))) | ((!! @ $i @ (^[Y0 : $i]: (!! @ (((($i > $i) > $i > $i) > $i) > $i) @ (^[Y1 : ((($i > $i) > $i > $i) > $i) > $i]: ((c_In @ (c_Inj1 @ c_Empty) @ Y0) => ((X2 @ (^[Y2 : $i]: ((^[Y3 : ($i > $i) > $i]: (c_Empty)))) @ c_Empty) => ((^[Y2 : $i > $i > (($i > $i) > $i > $i) > $i]: ((^[Y3 : $i]: ((^[Y4 : $i]: ($false)))))) @ (^[Y2 : $i]: ((^[Y3 : $i]: ((^[Y4 : ($i > $i) > $i > $i]: (c_Inj1 @ c_Empty)))))) @ (c_Inj1 @ (c_Inj1 @ (Y1 @ (^[Y2 : ($i > $i) > $i > $i]: (c_Empty))))) @ (c_Inj1 @ (c_binunion @ (c_Repl @ (c_binunion @ (c_Repl @ (c_Repl @ c_Empty @ c_Inj1) @ (^[Y2 : $i]: (c_Repl @ Y2 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1)) @ (^[Y2 : $i]: (c_Repl @ Y2 @ c_Inj1))) @ (c_Repl @ (c_Inj1 @ (c_Repl @ c_Empty @ c_Inj1)) @ c_Inj1)))))))))) = $false) | ($false = (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: ((c_In @ (c_Repl @ Y0 @ c_Inj1) @ (c_binunion @ (c_Repl @ (c_binunion @ (c_Repl @ Y3 @ (^[Y4 : $i]: (c_Repl @ Y4 @ c_Inj1))) @ (c_Repl @ (c_binunion @ (c_Repl @ Y1 @ (^[Y4 : $i]: (c_Repl @ Y4 @ c_Inj1))) @ (c_Repl @ (c_binunion @ (c_Repl @ c_Empty @ (^[Y4 : $i]: (c_Repl @ Y4 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1)) @ c_Inj1)) @ c_Inj1)) @ (^[Y4 : $i]: (c_Repl @ Y4 @ c_Inj1))) @ (c_Repl @ (c_Inj1 @ (c_binunion @ (c_Repl @ Y1 @ (^[Y4 : $i]: (c_Repl @ Y4 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1))) @ c_Inj1))) => (~ (X2 @ (^[Y4 : $i]: ((^[Y5 : ($i > $i) > $i]: (Y2)))) @ c_Empty)))))))))))) | ($true = ((^[Y0 : $i > $i > (($i > $i) > $i > $i) > $i]: ((^[Y1 : $i]: ((^[Y2 : $i]: ($false)))))) @ (^[Y0 : $i]: ((^[Y1 : $i]: ((^[Y2 : ($i > $i) > $i > $i]: (Y0)))))) @ (sK27 @ (^[Y0 : $i > $i > (($i > $i) > $i > $i) > $i]: ((^[Y1 : $i]: ((^[Y2 : $i]: ($false))))))) @ (sK26 @ (^[Y0 : $i > $i > (($i > $i) > $i > $i) > $i]: ((^[Y1 : $i]: ((^[Y2 : $i]: ($false)))))) @ (^[Y0 : ($i > $i) > $i > $i]: ((^[Y1 : $i > $i]: ((^[Y2 : $i]: (c_Inj1 @ c_Empty)))))) @ (^[Y0 : $i]: ((^[Y1 : $i]: (c_Empty)))))))) ) | ~spl0_13),
% 184.35/23.67 inference(primitive_instantiation,[],[f863])).
% 184.35/23.67 thf(f863,plain,(
% 184.35/23.67 ( ! [X2 : ($i > (($i > $i) > $i) > $i) > $i > $o,X4 : ($i > $i > (($i > $i) > $i > $i) > $i) > $i > $i > $o] : (($false = (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: ((c_In @ (c_Repl @ Y0 @ c_Inj1) @ (c_binunion @ (c_Repl @ (c_binunion @ (c_Repl @ Y3 @ (^[Y4 : $i]: (c_Repl @ Y4 @ c_Inj1))) @ (c_Repl @ (c_binunion @ (c_Repl @ Y1 @ (^[Y4 : $i]: (c_Repl @ Y4 @ c_Inj1))) @ (c_Repl @ (c_binunion @ (c_Repl @ c_Empty @ (^[Y4 : $i]: (c_Repl @ Y4 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1)) @ c_Inj1)) @ c_Inj1)) @ (^[Y4 : $i]: (c_Repl @ Y4 @ c_Inj1))) @ (c_Repl @ (c_Inj1 @ (c_binunion @ (c_Repl @ Y1 @ (^[Y4 : $i]: (c_Repl @ Y4 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1))) @ c_Inj1))) => (~ (X2 @ (^[Y4 : $i]: ((^[Y5 : ($i > $i) > $i]: (Y2)))) @ c_Empty)))))))))))) | ($false = (!! @ $i @ (^[Y0 : $i]: (!! @ (((($i > $i) > $i > $i) > $i) > $i) @ (^[Y1 : ((($i > $i) > $i > $i) > $i) > $i]: ((c_In @ (c_Inj1 @ c_Empty) @ Y0) => ((X2 @ (^[Y2 : $i]: ((^[Y3 : ($i > $i) > $i]: (c_Empty)))) @ c_Empty) => (X4 @ (^[Y2 : $i]: ((^[Y3 : $i]: ((^[Y4 : ($i > $i) > $i > $i]: (c_Inj1 @ c_Empty)))))) @ (c_Inj1 @ (c_Inj1 @ (Y1 @ (^[Y2 : ($i > $i) > $i > $i]: (c_Empty))))) @ (c_Inj1 @ (c_binunion @ (c_Repl @ (c_binunion @ (c_Repl @ (c_Repl @ c_Empty @ c_Inj1) @ (^[Y2 : $i]: (c_Repl @ Y2 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1)) @ (^[Y2 : $i]: (c_Repl @ Y2 @ c_Inj1))) @ (c_Repl @ (c_Inj1 @ (c_Repl @ c_Empty @ c_Inj1)) @ c_Inj1))))))))))) | ($true = (X4 @ (^[Y0 : $i]: ((^[Y1 : $i]: ((^[Y2 : ($i > $i) > $i > $i]: (Y0)))))) @ (sK27 @ X4) @ (sK26 @ X4 @ (^[Y0 : ($i > $i) > $i > $i]: ((^[Y1 : $i > $i]: ((^[Y2 : $i]: (c_Inj1 @ c_Empty)))))) @ (^[Y0 : $i]: ((^[Y1 : $i]: (c_Empty))))))) | ((!! @ $i @ (^[Y0 : $i]: (!! @ ($i > $i) @ (^[Y1 : $i > $i]: (~ (X4 @ (^[Y2 : $i]: ((^[Y3 : $i]: ((^[Y4 : ($i > $i) > $i > $i]: (c_Empty)))))) @ (Y1 @ c_Empty) @ Y0)))))) = $false)) ) | ~spl0_13),
% 184.35/23.67 inference(not_proxy_clausification,[],[f861])).
% 184.35/23.67 thf(f861,plain,(
% 184.35/23.67 ( ! [X2 : ($i > (($i > $i) > $i) > $i) > $i > $o,X4 : ($i > $i > (($i > $i) > $i > $i) > $i) > $i > $i > $o] : (($false = (!! @ $i @ (^[Y0 : $i]: (!! @ (((($i > $i) > $i > $i) > $i) > $i) @ (^[Y1 : ((($i > $i) > $i > $i) > $i) > $i]: ((c_In @ (c_Inj1 @ c_Empty) @ Y0) => ((X2 @ (^[Y2 : $i]: ((^[Y3 : ($i > $i) > $i]: (c_Empty)))) @ c_Empty) => (X4 @ (^[Y2 : $i]: ((^[Y3 : $i]: ((^[Y4 : ($i > $i) > $i > $i]: (c_Inj1 @ c_Empty)))))) @ (c_Inj1 @ (c_Inj1 @ (Y1 @ (^[Y2 : ($i > $i) > $i > $i]: (c_Empty))))) @ (c_Inj1 @ (c_binunion @ (c_Repl @ (c_binunion @ (c_Repl @ (c_Repl @ c_Empty @ c_Inj1) @ (^[Y2 : $i]: (c_Repl @ Y2 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1)) @ (^[Y2 : $i]: (c_Repl @ Y2 @ c_Inj1))) @ (c_Repl @ (c_Inj1 @ (c_Repl @ c_Empty @ c_Inj1)) @ c_Inj1))))))))))) | ($false = (~ (X4 @ (^[Y0 : $i]: ((^[Y1 : $i]: ((^[Y2 : ($i > $i) > $i > $i]: (Y0)))))) @ (sK27 @ X4) @ (sK26 @ X4 @ (^[Y0 : ($i > $i) > $i > $i]: ((^[Y1 : $i > $i]: ((^[Y2 : $i]: (c_Inj1 @ c_Empty)))))) @ (^[Y0 : $i]: ((^[Y1 : $i]: (c_Empty)))))))) | ($false = (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: ((c_In @ (c_Repl @ Y0 @ c_Inj1) @ (c_binunion @ (c_Repl @ (c_binunion @ (c_Repl @ Y3 @ (^[Y4 : $i]: (c_Repl @ Y4 @ c_Inj1))) @ (c_Repl @ (c_binunion @ (c_Repl @ Y1 @ (^[Y4 : $i]: (c_Repl @ Y4 @ c_Inj1))) @ (c_Repl @ (c_binunion @ (c_Repl @ c_Empty @ (^[Y4 : $i]: (c_Repl @ Y4 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1)) @ c_Inj1)) @ c_Inj1)) @ (^[Y4 : $i]: (c_Repl @ Y4 @ c_Inj1))) @ (c_Repl @ (c_Inj1 @ (c_binunion @ (c_Repl @ Y1 @ (^[Y4 : $i]: (c_Repl @ Y4 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1))) @ c_Inj1))) => (~ (X2 @ (^[Y4 : $i]: ((^[Y5 : ($i > $i) > $i]: (Y2)))) @ c_Empty)))))))))))) | ((!! @ $i @ (^[Y0 : $i]: (!! @ ($i > $i) @ (^[Y1 : $i > $i]: (~ (X4 @ (^[Y2 : $i]: ((^[Y3 : $i]: ((^[Y4 : ($i > $i) > $i > $i]: (c_Empty)))))) @ (Y1 @ c_Empty) @ Y0)))))) = $false)) ) | ~spl0_13),
% 184.35/23.67 inference(binary_proxy_clausification,[],[f860])).
% 184.35/23.67 thf(f860,plain,(
% 184.35/23.67 ( ! [X2 : ($i > (($i > $i) > $i) > $i) > $i > $o,X4 : ($i > $i > (($i > $i) > $i > $i) > $i) > $i > $i > $o] : (($false = (!! @ $i @ (^[Y0 : $i]: (!! @ (((($i > $i) > $i > $i) > $i) > $i) @ (^[Y1 : ((($i > $i) > $i > $i) > $i) > $i]: ((c_In @ (c_Inj1 @ c_Empty) @ Y0) => ((X2 @ (^[Y2 : $i]: ((^[Y3 : ($i > $i) > $i]: (c_Empty)))) @ c_Empty) => (X4 @ (^[Y2 : $i]: ((^[Y3 : $i]: ((^[Y4 : ($i > $i) > $i > $i]: (c_Inj1 @ c_Empty)))))) @ (c_Inj1 @ (c_Inj1 @ (Y1 @ (^[Y2 : ($i > $i) > $i > $i]: (c_Empty))))) @ (c_Inj1 @ (c_binunion @ (c_Repl @ (c_binunion @ (c_Repl @ (c_Repl @ c_Empty @ c_Inj1) @ (^[Y2 : $i]: (c_Repl @ Y2 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1)) @ (^[Y2 : $i]: (c_Repl @ Y2 @ c_Inj1))) @ (c_Repl @ (c_Inj1 @ (c_Repl @ c_Empty @ c_Inj1)) @ c_Inj1))))))))))) | ($false = ((c_In @ (c_Repl @ c_Empty @ c_Inj1) @ (c_binunion @ (c_Repl @ c_Empty @ (^[Y0 : $i]: (c_Repl @ Y0 @ c_Inj1))) @ (c_Repl @ (sK25 @ X4 @ (c_Repl @ (c_binunion @ (c_Repl @ c_Empty @ (^[Y0 : $i]: (c_Repl @ Y0 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1)) @ c_Inj1) @ (^[Y0 : $i > $i]: ((^[Y1 : $i]: (c_Repl @ c_Empty @ c_Inj1))))) @ c_Inj1))) => (~ (X4 @ (^[Y0 : $i]: ((^[Y1 : $i]: ((^[Y2 : ($i > $i) > $i > $i]: (Y0)))))) @ (sK27 @ X4) @ (sK26 @ X4 @ (^[Y0 : ($i > $i) > $i > $i]: ((^[Y1 : $i > $i]: ((^[Y2 : $i]: (c_Inj1 @ c_Empty)))))) @ (^[Y0 : $i]: ((^[Y1 : $i]: (c_Empty))))))))) | ((!! @ $i @ (^[Y0 : $i]: (!! @ ($i > $i) @ (^[Y1 : $i > $i]: (~ (X4 @ (^[Y2 : $i]: ((^[Y3 : $i]: ((^[Y4 : ($i > $i) > $i > $i]: (c_Empty)))))) @ (Y1 @ c_Empty) @ Y0)))))) = $false) | ($false = (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: ((c_In @ (c_Repl @ Y0 @ c_Inj1) @ (c_binunion @ (c_Repl @ (c_binunion @ (c_Repl @ Y3 @ (^[Y4 : $i]: (c_Repl @ Y4 @ c_Inj1))) @ (c_Repl @ (c_binunion @ (c_Repl @ Y1 @ (^[Y4 : $i]: (c_Repl @ Y4 @ c_Inj1))) @ (c_Repl @ (c_binunion @ (c_Repl @ c_Empty @ (^[Y4 : $i]: (c_Repl @ Y4 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1)) @ c_Inj1)) @ c_Inj1)) @ (^[Y4 : $i]: (c_Repl @ Y4 @ c_Inj1))) @ (c_Repl @ (c_Inj1 @ (c_binunion @ (c_Repl @ Y1 @ (^[Y4 : $i]: (c_Repl @ Y4 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1))) @ c_Inj1))) => (~ (X2 @ (^[Y4 : $i]: ((^[Y5 : ($i > $i) > $i]: (Y2)))) @ c_Empty))))))))))))) ) | ~spl0_13),
% 184.35/23.67 inference(beta_eta_normalization,[],[f859])).
% 184.35/23.67 thf(f859,plain,(
% 184.35/23.67 ( ! [X2 : ($i > (($i > $i) > $i) > $i) > $i > $o,X4 : ($i > $i > (($i > $i) > $i > $i) > $i) > $i > $i > $o] : (($false = ((^[Y0 : $i]: ((c_In @ (c_Repl @ c_Empty @ c_Inj1) @ (c_binunion @ (c_Repl @ c_Empty @ (^[Y1 : $i]: (c_Repl @ Y1 @ c_Inj1))) @ (c_Repl @ (sK25 @ X4 @ (c_Repl @ (c_binunion @ (c_Repl @ c_Empty @ (^[Y1 : $i]: (c_Repl @ Y1 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1)) @ c_Inj1) @ (^[Y1 : $i > $i]: ((^[Y2 : $i]: (c_Repl @ c_Empty @ c_Inj1))))) @ c_Inj1))) => (~ (X4 @ (^[Y1 : $i]: ((^[Y2 : $i]: ((^[Y3 : ($i > $i) > $i > $i]: (Y1)))))) @ Y0 @ (sK26 @ X4 @ (^[Y1 : ($i > $i) > $i > $i]: ((^[Y2 : $i > $i]: ((^[Y3 : $i]: (c_Inj1 @ c_Empty)))))) @ (^[Y1 : $i]: ((^[Y2 : $i]: (c_Empty))))))))) @ (sK27 @ X4))) | ($false = (!! @ $i @ (^[Y0 : $i]: (!! @ (((($i > $i) > $i > $i) > $i) > $i) @ (^[Y1 : ((($i > $i) > $i > $i) > $i) > $i]: ((c_In @ (c_Inj1 @ c_Empty) @ Y0) => ((X2 @ (^[Y2 : $i]: ((^[Y3 : ($i > $i) > $i]: (c_Empty)))) @ c_Empty) => (X4 @ (^[Y2 : $i]: ((^[Y3 : $i]: ((^[Y4 : ($i > $i) > $i > $i]: (c_Inj1 @ c_Empty)))))) @ (c_Inj1 @ (c_Inj1 @ (Y1 @ (^[Y2 : ($i > $i) > $i > $i]: (c_Empty))))) @ (c_Inj1 @ (c_binunion @ (c_Repl @ (c_binunion @ (c_Repl @ (c_Repl @ c_Empty @ c_Inj1) @ (^[Y2 : $i]: (c_Repl @ Y2 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1)) @ (^[Y2 : $i]: (c_Repl @ Y2 @ c_Inj1))) @ (c_Repl @ (c_Inj1 @ (c_Repl @ c_Empty @ c_Inj1)) @ c_Inj1))))))))))) | ((!! @ $i @ (^[Y0 : $i]: (!! @ ($i > $i) @ (^[Y1 : $i > $i]: (~ (X4 @ (^[Y2 : $i]: ((^[Y3 : $i]: ((^[Y4 : ($i > $i) > $i > $i]: (c_Empty)))))) @ (Y1 @ c_Empty) @ Y0)))))) = $false) | ($false = (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: ((c_In @ (c_Repl @ Y0 @ c_Inj1) @ (c_binunion @ (c_Repl @ (c_binunion @ (c_Repl @ Y3 @ (^[Y4 : $i]: (c_Repl @ Y4 @ c_Inj1))) @ (c_Repl @ (c_binunion @ (c_Repl @ Y1 @ (^[Y4 : $i]: (c_Repl @ Y4 @ c_Inj1))) @ (c_Repl @ (c_binunion @ (c_Repl @ c_Empty @ (^[Y4 : $i]: (c_Repl @ Y4 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1)) @ c_Inj1)) @ c_Inj1)) @ (^[Y4 : $i]: (c_Repl @ Y4 @ c_Inj1))) @ (c_Repl @ (c_Inj1 @ (c_binunion @ (c_Repl @ Y1 @ (^[Y4 : $i]: (c_Repl @ Y4 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1))) @ c_Inj1))) => (~ (X2 @ (^[Y4 : $i]: ((^[Y5 : ($i > $i) > $i]: (Y2)))) @ c_Empty))))))))))))) ) | ~spl0_13),
% 184.35/23.67 inference(sigma_clausification,[],[f819])).
% 184.35/23.67 thf(f819,plain,(
% 184.35/23.67 ( ! [X2 : ($i > (($i > $i) > $i) > $i) > $i > $o,X4 : ($i > $i > (($i > $i) > $i > $i) > $i) > $i > $i > $o] : (((!! @ $i @ (^[Y0 : $i]: ((c_In @ (c_Repl @ c_Empty @ c_Inj1) @ (c_binunion @ (c_Repl @ c_Empty @ (^[Y1 : $i]: (c_Repl @ Y1 @ c_Inj1))) @ (c_Repl @ (sK25 @ X4 @ (c_Repl @ (c_binunion @ (c_Repl @ c_Empty @ (^[Y1 : $i]: (c_Repl @ Y1 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1)) @ c_Inj1) @ (^[Y1 : $i > $i]: ((^[Y2 : $i]: (c_Repl @ c_Empty @ c_Inj1))))) @ c_Inj1))) => (~ (X4 @ (^[Y1 : $i]: ((^[Y2 : $i]: ((^[Y3 : ($i > $i) > $i > $i]: (Y1)))))) @ Y0 @ (sK26 @ X4 @ (^[Y1 : ($i > $i) > $i > $i]: ((^[Y2 : $i > $i]: ((^[Y3 : $i]: (c_Inj1 @ c_Empty)))))) @ (^[Y1 : $i]: ((^[Y2 : $i]: (c_Empty)))))))))) = $false) | ($false = (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: ((c_In @ (c_Repl @ Y0 @ c_Inj1) @ (c_binunion @ (c_Repl @ (c_binunion @ (c_Repl @ Y3 @ (^[Y4 : $i]: (c_Repl @ Y4 @ c_Inj1))) @ (c_Repl @ (c_binunion @ (c_Repl @ Y1 @ (^[Y4 : $i]: (c_Repl @ Y4 @ c_Inj1))) @ (c_Repl @ (c_binunion @ (c_Repl @ c_Empty @ (^[Y4 : $i]: (c_Repl @ Y4 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1)) @ c_Inj1)) @ c_Inj1)) @ (^[Y4 : $i]: (c_Repl @ Y4 @ c_Inj1))) @ (c_Repl @ (c_Inj1 @ (c_binunion @ (c_Repl @ Y1 @ (^[Y4 : $i]: (c_Repl @ Y4 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1))) @ c_Inj1))) => (~ (X2 @ (^[Y4 : $i]: ((^[Y5 : ($i > $i) > $i]: (Y2)))) @ c_Empty)))))))))))) | ($false = (!! @ $i @ (^[Y0 : $i]: (!! @ (((($i > $i) > $i > $i) > $i) > $i) @ (^[Y1 : ((($i > $i) > $i > $i) > $i) > $i]: ((c_In @ (c_Inj1 @ c_Empty) @ Y0) => ((X2 @ (^[Y2 : $i]: ((^[Y3 : ($i > $i) > $i]: (c_Empty)))) @ c_Empty) => (X4 @ (^[Y2 : $i]: ((^[Y3 : $i]: ((^[Y4 : ($i > $i) > $i > $i]: (c_Inj1 @ c_Empty)))))) @ (c_Inj1 @ (c_Inj1 @ (Y1 @ (^[Y2 : ($i > $i) > $i > $i]: (c_Empty))))) @ (c_Inj1 @ (c_binunion @ (c_Repl @ (c_binunion @ (c_Repl @ (c_Repl @ c_Empty @ c_Inj1) @ (^[Y2 : $i]: (c_Repl @ Y2 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1)) @ (^[Y2 : $i]: (c_Repl @ Y2 @ c_Inj1))) @ (c_Repl @ (c_Inj1 @ (c_Repl @ c_Empty @ c_Inj1)) @ c_Inj1))))))))))) | ((!! @ $i @ (^[Y0 : $i]: (!! @ ($i > $i) @ (^[Y1 : $i > $i]: (~ (X4 @ (^[Y2 : $i]: ((^[Y3 : $i]: ((^[Y4 : ($i > $i) > $i > $i]: (c_Empty)))))) @ (Y1 @ c_Empty) @ Y0)))))) = $false)) ) | ~spl0_13),
% 184.35/23.67 inference(beta_eta_normalization,[],[f818])).
% 184.35/23.67 thf(f818,plain,(
% 184.35/23.67 ( ! [X2 : ($i > (($i > $i) > $i) > $i) > $i > $o,X4 : ($i > $i > (($i > $i) > $i > $i) > $i) > $i > $i > $o] : (((!! @ $i @ (^[Y0 : $i]: (!! @ ($i > $i) @ (^[Y1 : $i > $i]: (~ (X4 @ (^[Y2 : $i]: ((^[Y3 : $i]: ((^[Y4 : ($i > $i) > $i > $i]: (c_Empty)))))) @ (Y1 @ c_Empty) @ Y0)))))) = $false) | (((^[Y0 : ((($i > $i) > $i > $i) > ($i > $i) > $i > $i) > ($i > $i > $i) > $i]: (!! @ $i @ (^[Y1 : $i]: ((c_In @ (c_Repl @ c_Empty @ c_Inj1) @ (c_binunion @ (c_Repl @ c_Empty @ (^[Y2 : $i]: (c_Repl @ Y2 @ c_Inj1))) @ (c_Repl @ (sK25 @ X4 @ (c_Repl @ (c_binunion @ (c_Repl @ c_Empty @ (^[Y2 : $i]: (c_Repl @ Y2 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1)) @ c_Inj1) @ (^[Y2 : $i > $i]: ((^[Y3 : $i]: (c_Repl @ c_Empty @ c_Inj1))))) @ c_Inj1))) => (~ (X4 @ (^[Y2 : $i]: ((^[Y3 : $i]: ((^[Y4 : ($i > $i) > $i > $i]: (Y2)))))) @ Y1 @ (Y0 @ (^[Y2 : ($i > $i) > $i > $i]: ((^[Y3 : $i > $i]: ((^[Y4 : $i]: (c_Inj1 @ c_Empty)))))) @ (^[Y2 : $i]: ((^[Y3 : $i]: (c_Empty))))))))))) @ (sK26 @ X4)) = $false) | ($false = (!! @ $i @ (^[Y0 : $i]: (!! @ (((($i > $i) > $i > $i) > $i) > $i) @ (^[Y1 : ((($i > $i) > $i > $i) > $i) > $i]: ((c_In @ (c_Inj1 @ c_Empty) @ Y0) => ((X2 @ (^[Y2 : $i]: ((^[Y3 : ($i > $i) > $i]: (c_Empty)))) @ c_Empty) => (X4 @ (^[Y2 : $i]: ((^[Y3 : $i]: ((^[Y4 : ($i > $i) > $i > $i]: (c_Inj1 @ c_Empty)))))) @ (c_Inj1 @ (c_Inj1 @ (Y1 @ (^[Y2 : ($i > $i) > $i > $i]: (c_Empty))))) @ (c_Inj1 @ (c_binunion @ (c_Repl @ (c_binunion @ (c_Repl @ (c_Repl @ c_Empty @ c_Inj1) @ (^[Y2 : $i]: (c_Repl @ Y2 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1)) @ (^[Y2 : $i]: (c_Repl @ Y2 @ c_Inj1))) @ (c_Repl @ (c_Inj1 @ (c_Repl @ c_Empty @ c_Inj1)) @ c_Inj1))))))))))) | ($false = (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: ((c_In @ (c_Repl @ Y0 @ c_Inj1) @ (c_binunion @ (c_Repl @ (c_binunion @ (c_Repl @ Y3 @ (^[Y4 : $i]: (c_Repl @ Y4 @ c_Inj1))) @ (c_Repl @ (c_binunion @ (c_Repl @ Y1 @ (^[Y4 : $i]: (c_Repl @ Y4 @ c_Inj1))) @ (c_Repl @ (c_binunion @ (c_Repl @ c_Empty @ (^[Y4 : $i]: (c_Repl @ Y4 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1)) @ c_Inj1)) @ c_Inj1)) @ (^[Y4 : $i]: (c_Repl @ Y4 @ c_Inj1))) @ (c_Repl @ (c_Inj1 @ (c_binunion @ (c_Repl @ Y1 @ (^[Y4 : $i]: (c_Repl @ Y4 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1))) @ c_Inj1))) => (~ (X2 @ (^[Y4 : $i]: ((^[Y5 : ($i > $i) > $i]: (Y2)))) @ c_Empty))))))))))))) ) | ~spl0_13),
% 184.35/23.67 inference(sigma_clausification,[],[f813])).
% 184.35/23.67 thf(f813,plain,(
% 184.35/23.67 ( ! [X2 : ($i > (($i > $i) > $i) > $i) > $i > $o,X4 : ($i > $i > (($i > $i) > $i > $i) > $i) > $i > $i > $o] : (((!! @ (((($i > $i) > $i > $i) > ($i > $i) > $i > $i) > ($i > $i > $i) > $i) @ (^[Y0 : ((($i > $i) > $i > $i) > ($i > $i) > $i > $i) > ($i > $i > $i) > $i]: (!! @ $i @ (^[Y1 : $i]: ((c_In @ (c_Repl @ c_Empty @ c_Inj1) @ (c_binunion @ (c_Repl @ c_Empty @ (^[Y2 : $i]: (c_Repl @ Y2 @ c_Inj1))) @ (c_Repl @ (sK25 @ X4 @ (c_Repl @ (c_binunion @ (c_Repl @ c_Empty @ (^[Y2 : $i]: (c_Repl @ Y2 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1)) @ c_Inj1) @ (^[Y2 : $i > $i]: ((^[Y3 : $i]: (c_Repl @ c_Empty @ c_Inj1))))) @ c_Inj1))) => (~ (X4 @ (^[Y2 : $i]: ((^[Y3 : $i]: ((^[Y4 : ($i > $i) > $i > $i]: (Y2)))))) @ Y1 @ (Y0 @ (^[Y2 : ($i > $i) > $i > $i]: ((^[Y3 : $i > $i]: ((^[Y4 : $i]: (c_Inj1 @ c_Empty)))))) @ (^[Y2 : $i]: ((^[Y3 : $i]: (c_Empty)))))))))))) = $false) | ($false = (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: ((c_In @ (c_Repl @ Y0 @ c_Inj1) @ (c_binunion @ (c_Repl @ (c_binunion @ (c_Repl @ Y3 @ (^[Y4 : $i]: (c_Repl @ Y4 @ c_Inj1))) @ (c_Repl @ (c_binunion @ (c_Repl @ Y1 @ (^[Y4 : $i]: (c_Repl @ Y4 @ c_Inj1))) @ (c_Repl @ (c_binunion @ (c_Repl @ c_Empty @ (^[Y4 : $i]: (c_Repl @ Y4 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1)) @ c_Inj1)) @ c_Inj1)) @ (^[Y4 : $i]: (c_Repl @ Y4 @ c_Inj1))) @ (c_Repl @ (c_Inj1 @ (c_binunion @ (c_Repl @ Y1 @ (^[Y4 : $i]: (c_Repl @ Y4 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1))) @ c_Inj1))) => (~ (X2 @ (^[Y4 : $i]: ((^[Y5 : ($i > $i) > $i]: (Y2)))) @ c_Empty)))))))))))) | ($false = (!! @ $i @ (^[Y0 : $i]: (!! @ (((($i > $i) > $i > $i) > $i) > $i) @ (^[Y1 : ((($i > $i) > $i > $i) > $i) > $i]: ((c_In @ (c_Inj1 @ c_Empty) @ Y0) => ((X2 @ (^[Y2 : $i]: ((^[Y3 : ($i > $i) > $i]: (c_Empty)))) @ c_Empty) => (X4 @ (^[Y2 : $i]: ((^[Y3 : $i]: ((^[Y4 : ($i > $i) > $i > $i]: (c_Inj1 @ c_Empty)))))) @ (c_Inj1 @ (c_Inj1 @ (Y1 @ (^[Y2 : ($i > $i) > $i > $i]: (c_Empty))))) @ (c_Inj1 @ (c_binunion @ (c_Repl @ (c_binunion @ (c_Repl @ (c_Repl @ c_Empty @ c_Inj1) @ (^[Y2 : $i]: (c_Repl @ Y2 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1)) @ (^[Y2 : $i]: (c_Repl @ Y2 @ c_Inj1))) @ (c_Repl @ (c_Inj1 @ (c_Repl @ c_Empty @ c_Inj1)) @ c_Inj1))))))))))) | ((!! @ $i @ (^[Y0 : $i]: (!! @ ($i > $i) @ (^[Y1 : $i > $i]: (~ (X4 @ (^[Y2 : $i]: ((^[Y3 : $i]: ((^[Y4 : ($i > $i) > $i > $i]: (c_Empty)))))) @ (Y1 @ c_Empty) @ Y0)))))) = $false)) ) | ~spl0_13),
% 184.35/23.67 inference(beta_eta_normalization,[],[f812])).
% 184.35/23.67 thf(f812,plain,(
% 184.35/23.67 ( ! [X2 : ($i > (($i > $i) > $i) > $i) > $i > $o,X4 : ($i > $i > (($i > $i) > $i > $i) > $i) > $i > $i > $o] : (((!! @ $i @ (^[Y0 : $i]: (!! @ ($i > $i) @ (^[Y1 : $i > $i]: (~ (X4 @ (^[Y2 : $i]: ((^[Y3 : $i]: ((^[Y4 : ($i > $i) > $i > $i]: (c_Empty)))))) @ (Y1 @ c_Empty) @ Y0)))))) = $false) | ($false = (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: ((c_In @ (c_Repl @ Y0 @ c_Inj1) @ (c_binunion @ (c_Repl @ (c_binunion @ (c_Repl @ Y3 @ (^[Y4 : $i]: (c_Repl @ Y4 @ c_Inj1))) @ (c_Repl @ (c_binunion @ (c_Repl @ Y1 @ (^[Y4 : $i]: (c_Repl @ Y4 @ c_Inj1))) @ (c_Repl @ (c_binunion @ (c_Repl @ c_Empty @ (^[Y4 : $i]: (c_Repl @ Y4 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1)) @ c_Inj1)) @ c_Inj1)) @ (^[Y4 : $i]: (c_Repl @ Y4 @ c_Inj1))) @ (c_Repl @ (c_Inj1 @ (c_binunion @ (c_Repl @ Y1 @ (^[Y4 : $i]: (c_Repl @ Y4 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1))) @ c_Inj1))) => (~ (X2 @ (^[Y4 : $i]: ((^[Y5 : ($i > $i) > $i]: (Y2)))) @ c_Empty)))))))))))) | ($false = (!! @ $i @ (^[Y0 : $i]: (!! @ (((($i > $i) > $i > $i) > $i) > $i) @ (^[Y1 : ((($i > $i) > $i > $i) > $i) > $i]: ((c_In @ (c_Inj1 @ c_Empty) @ Y0) => ((X2 @ (^[Y2 : $i]: ((^[Y3 : ($i > $i) > $i]: (c_Empty)))) @ c_Empty) => (X4 @ (^[Y2 : $i]: ((^[Y3 : $i]: ((^[Y4 : ($i > $i) > $i > $i]: (c_Inj1 @ c_Empty)))))) @ (c_Inj1 @ (c_Inj1 @ (Y1 @ (^[Y2 : ($i > $i) > $i > $i]: (c_Empty))))) @ (c_Inj1 @ (c_binunion @ (c_Repl @ (c_binunion @ (c_Repl @ (c_Repl @ c_Empty @ c_Inj1) @ (^[Y2 : $i]: (c_Repl @ Y2 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1)) @ (^[Y2 : $i]: (c_Repl @ Y2 @ c_Inj1))) @ (c_Repl @ (c_Inj1 @ (c_Repl @ c_Empty @ c_Inj1)) @ c_Inj1))))))))))) | (((^[Y0 : $i > (($i > $i) > $i > $i) > $i]: (!! @ (((($i > $i) > $i > $i) > ($i > $i) > $i > $i) > ($i > $i > $i) > $i) @ (^[Y1 : ((($i > $i) > $i > $i) > ($i > $i) > $i > $i) > ($i > $i > $i) > $i]: (!! @ $i @ (^[Y2 : $i]: ((c_In @ (c_Repl @ c_Empty @ c_Inj1) @ (c_binunion @ (c_Repl @ c_Empty @ (^[Y3 : $i]: (c_Repl @ Y3 @ c_Inj1))) @ (c_Repl @ (Y0 @ (c_Repl @ (c_binunion @ (c_Repl @ c_Empty @ (^[Y3 : $i]: (c_Repl @ Y3 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1)) @ c_Inj1) @ (^[Y3 : $i > $i]: ((^[Y4 : $i]: (c_Repl @ c_Empty @ c_Inj1))))) @ c_Inj1))) => (~ (X4 @ (^[Y3 : $i]: ((^[Y4 : $i]: ((^[Y5 : ($i > $i) > $i > $i]: (Y3)))))) @ Y2 @ (Y1 @ (^[Y3 : ($i > $i) > $i > $i]: ((^[Y4 : $i > $i]: ((^[Y5 : $i]: (c_Inj1 @ c_Empty)))))) @ (^[Y3 : $i]: ((^[Y4 : $i]: (c_Empty))))))))))))) @ (sK25 @ X4)) = $false)) ) | ~spl0_13),
% 184.35/23.67 inference(sigma_clausification,[],[f593])).
% 184.35/23.67 thf(f593,plain,(
% 184.35/23.67 ( ! [X2 : ($i > (($i > $i) > $i) > $i) > $i > $o,X4 : ($i > $i > (($i > $i) > $i > $i) > $i) > $i > $i > $o] : (($false = (!! @ ($i > (($i > $i) > $i > $i) > $i) @ (^[Y0 : $i > (($i > $i) > $i > $i) > $i]: (!! @ (((($i > $i) > $i > $i) > ($i > $i) > $i > $i) > ($i > $i > $i) > $i) @ (^[Y1 : ((($i > $i) > $i > $i) > ($i > $i) > $i > $i) > ($i > $i > $i) > $i]: (!! @ $i @ (^[Y2 : $i]: ((c_In @ (c_Repl @ c_Empty @ c_Inj1) @ (c_binunion @ (c_Repl @ c_Empty @ (^[Y3 : $i]: (c_Repl @ Y3 @ c_Inj1))) @ (c_Repl @ (Y0 @ (c_Repl @ (c_binunion @ (c_Repl @ c_Empty @ (^[Y3 : $i]: (c_Repl @ Y3 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1)) @ c_Inj1) @ (^[Y3 : $i > $i]: ((^[Y4 : $i]: (c_Repl @ c_Empty @ c_Inj1))))) @ c_Inj1))) => (~ (X4 @ (^[Y3 : $i]: ((^[Y4 : $i]: ((^[Y5 : ($i > $i) > $i > $i]: (Y3)))))) @ Y2 @ (Y1 @ (^[Y3 : ($i > $i) > $i > $i]: ((^[Y4 : $i > $i]: ((^[Y5 : $i]: (c_Inj1 @ c_Empty)))))) @ (^[Y3 : $i]: ((^[Y4 : $i]: (c_Empty))))))))))))))) | ($false = (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: ((c_In @ (c_Repl @ Y0 @ c_Inj1) @ (c_binunion @ (c_Repl @ (c_binunion @ (c_Repl @ Y3 @ (^[Y4 : $i]: (c_Repl @ Y4 @ c_Inj1))) @ (c_Repl @ (c_binunion @ (c_Repl @ Y1 @ (^[Y4 : $i]: (c_Repl @ Y4 @ c_Inj1))) @ (c_Repl @ (c_binunion @ (c_Repl @ c_Empty @ (^[Y4 : $i]: (c_Repl @ Y4 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1)) @ c_Inj1)) @ c_Inj1)) @ (^[Y4 : $i]: (c_Repl @ Y4 @ c_Inj1))) @ (c_Repl @ (c_Inj1 @ (c_binunion @ (c_Repl @ Y1 @ (^[Y4 : $i]: (c_Repl @ Y4 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1))) @ c_Inj1))) => (~ (X2 @ (^[Y4 : $i]: ((^[Y5 : ($i > $i) > $i]: (Y2)))) @ c_Empty)))))))))))) | ($false = (!! @ $i @ (^[Y0 : $i]: (!! @ (((($i > $i) > $i > $i) > $i) > $i) @ (^[Y1 : ((($i > $i) > $i > $i) > $i) > $i]: ((c_In @ (c_Inj1 @ c_Empty) @ Y0) => ((X2 @ (^[Y2 : $i]: ((^[Y3 : ($i > $i) > $i]: (c_Empty)))) @ c_Empty) => (X4 @ (^[Y2 : $i]: ((^[Y3 : $i]: ((^[Y4 : ($i > $i) > $i > $i]: (c_Inj1 @ c_Empty)))))) @ (c_Inj1 @ (c_Inj1 @ (Y1 @ (^[Y2 : ($i > $i) > $i > $i]: (c_Empty))))) @ (c_Inj1 @ (c_binunion @ (c_Repl @ (c_binunion @ (c_Repl @ (c_Repl @ c_Empty @ c_Inj1) @ (^[Y2 : $i]: (c_Repl @ Y2 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1)) @ (^[Y2 : $i]: (c_Repl @ Y2 @ c_Inj1))) @ (c_Repl @ (c_Inj1 @ (c_Repl @ c_Empty @ c_Inj1)) @ c_Inj1))))))))))) | ((!! @ $i @ (^[Y0 : $i]: (!! @ ($i > $i) @ (^[Y1 : $i > $i]: (~ (X4 @ (^[Y2 : $i]: ((^[Y3 : $i]: ((^[Y4 : ($i > $i) > $i > $i]: (c_Empty)))))) @ (Y1 @ c_Empty) @ Y0)))))) = $false)) ) | ~spl0_13),
% 184.35/23.67 inference(avatar_component_clause,[],[f592])).
% 184.35/23.67 thf(f784,plain,(
% 184.35/23.67 ~spl0_12),
% 184.35/23.67 inference(avatar_contradiction_clause,[],[f783])).
% 184.35/23.67 thf(f783,plain,(
% 184.35/23.67 $false | ~spl0_12),
% 184.35/23.67 inference(trivial_inequality_removal,[],[f782])).
% 184.35/23.67 thf(f782,plain,(
% 184.35/23.67 ($true = $false) | ~spl0_12),
% 184.35/23.67 inference(duplicate_literal_removal,[],[f781])).
% 184.35/23.67 thf(f781,plain,(
% 184.35/23.67 ($true = $false) | ($true = $false) | ~spl0_12),
% 184.35/23.67 inference(beta_eta_normalization,[],[f772])).
% 184.35/23.67 thf(f772,plain,(
% 184.35/23.67 ($true = ((^[Y0 : $i > ($i > $i > $i) > $i]: ((^[Y1 : $i]: ((^[Y2 : $i]: ($false)))))) @ (^[Y0 : $i]: ((^[Y1 : $i > $i > $i]: (c_Empty)))) @ (sK16 @ (^[Y0 : $i > ($i > $i > $i) > $i]: ((^[Y1 : $i]: ((^[Y2 : $i]: ($false))))))) @ (c_binunion @ (c_Repl @ (c_binunion @ (c_Repl @ (c_binunion @ (c_Repl @ (c_binunion @ (c_Repl @ c_Empty @ (^[Y0 : $i]: (c_Repl @ Y0 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1)) @ (^[Y0 : $i]: (c_Repl @ Y0 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1)) @ (^[Y0 : $i]: (c_Repl @ Y0 @ c_Inj1))) @ (c_Repl @ (c_binunion @ (c_Repl @ (c_binunion @ (c_Repl @ c_Empty @ (^[Y0 : $i]: (c_Repl @ Y0 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1)) @ (^[Y0 : $i]: (c_Repl @ Y0 @ c_Inj1))) @ (c_Repl @ (c_Repl @ c_Empty @ c_Inj1) @ c_Inj1)) @ c_Inj1)) @ (^[Y0 : $i]: (c_Repl @ Y0 @ c_Inj1))) @ (c_Repl @ (c_binunion @ (c_Repl @ c_Empty @ (^[Y0 : $i]: (c_Repl @ Y0 @ c_Inj1))) @ (c_Repl @ (c_Inj1 @ (c_binunion @ (c_Repl @ c_Empty @ (^[Y0 : $i]: (c_Repl @ Y0 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1))) @ c_Inj1)) @ c_Inj1)))) | ($true = ((^[Y0 : $i > ($i > $i > $i) > $i]: ((^[Y1 : $i]: ((^[Y2 : $i]: ($false)))))) @ (^[Y0 : $i]: ((^[Y1 : $i > $i > $i]: (c_Empty)))) @ c_Empty @ c_Empty)) | ~spl0_12),
% 184.35/23.67 inference(primitive_instantiation,[],[f734])).
% 184.35/23.67 thf(f734,plain,(
% 184.35/23.67 ( ! [X1 : ($i > ($i > $i > $i) > $i) > $i > $i > $o] : (($true = (X1 @ (^[Y0 : $i]: ((^[Y1 : $i > $i > $i]: (c_Empty)))) @ (sK16 @ X1) @ (c_binunion @ (c_Repl @ (c_binunion @ (c_Repl @ (c_binunion @ (c_Repl @ (c_binunion @ (c_Repl @ c_Empty @ (^[Y0 : $i]: (c_Repl @ Y0 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1)) @ (^[Y0 : $i]: (c_Repl @ Y0 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1)) @ (^[Y0 : $i]: (c_Repl @ Y0 @ c_Inj1))) @ (c_Repl @ (c_binunion @ (c_Repl @ (c_binunion @ (c_Repl @ c_Empty @ (^[Y0 : $i]: (c_Repl @ Y0 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1)) @ (^[Y0 : $i]: (c_Repl @ Y0 @ c_Inj1))) @ (c_Repl @ (c_Repl @ c_Empty @ c_Inj1) @ c_Inj1)) @ c_Inj1)) @ (^[Y0 : $i]: (c_Repl @ Y0 @ c_Inj1))) @ (c_Repl @ (c_binunion @ (c_Repl @ c_Empty @ (^[Y0 : $i]: (c_Repl @ Y0 @ c_Inj1))) @ (c_Repl @ (c_Inj1 @ (c_binunion @ (c_Repl @ c_Empty @ (^[Y0 : $i]: (c_Repl @ Y0 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1))) @ c_Inj1)) @ c_Inj1)))) | ($true = (X1 @ (^[Y0 : $i]: ((^[Y1 : $i > $i > $i]: (c_Empty)))) @ c_Empty @ c_Empty))) ) | ~spl0_12),
% 184.35/23.67 inference(binary_proxy_clausification,[],[f732])).
% 184.35/23.67 thf(f732,plain,(
% 184.35/23.67 ( ! [X1 : ($i > ($i > $i > $i) > $i) > $i > $i > $o] : (($false = ((X1 @ (^[Y0 : $i]: ((^[Y1 : $i > $i > $i]: (c_Empty)))) @ (sK16 @ X1) @ (c_binunion @ (c_Repl @ (c_binunion @ (c_Repl @ (c_binunion @ (c_Repl @ (c_binunion @ (c_Repl @ c_Empty @ (^[Y0 : $i]: (c_Repl @ Y0 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1)) @ (^[Y0 : $i]: (c_Repl @ Y0 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1)) @ (^[Y0 : $i]: (c_Repl @ Y0 @ c_Inj1))) @ (c_Repl @ (c_binunion @ (c_Repl @ (c_binunion @ (c_Repl @ c_Empty @ (^[Y0 : $i]: (c_Repl @ Y0 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1)) @ (^[Y0 : $i]: (c_Repl @ Y0 @ c_Inj1))) @ (c_Repl @ (c_Repl @ c_Empty @ c_Inj1) @ c_Inj1)) @ c_Inj1)) @ (^[Y0 : $i]: (c_Repl @ Y0 @ c_Inj1))) @ (c_Repl @ (c_binunion @ (c_Repl @ c_Empty @ (^[Y0 : $i]: (c_Repl @ Y0 @ c_Inj1))) @ (c_Repl @ (c_Inj1 @ (c_binunion @ (c_Repl @ c_Empty @ (^[Y0 : $i]: (c_Repl @ Y0 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1))) @ c_Inj1)) @ c_Inj1))) => (X1 @ (^[Y0 : $i]: ((^[Y1 : $i > $i > $i]: (sK16 @ X1)))) @ (c_binunion @ (c_Repl @ (sK9 @ X1 @ (^[Y0 : ($i > $i) > $i > $i]: (sK16 @ X1))) @ (^[Y0 : $i]: (c_Repl @ Y0 @ c_Inj1))) @ (c_Repl @ (sK15 @ X1) @ c_Inj1)) @ (c_Repl @ (c_Inj1 @ (c_binunion @ (c_Repl @ (c_binunion @ (c_Repl @ c_Empty @ (^[Y0 : $i]: (c_Repl @ Y0 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1)) @ (^[Y0 : $i]: (c_Repl @ Y0 @ c_Inj1))) @ (c_Repl @ (c_binunion @ (c_Repl @ c_Empty @ (^[Y0 : $i]: (c_Repl @ Y0 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1)) @ c_Inj1))) @ c_Inj1)))) | ($true = (X1 @ (^[Y0 : $i]: ((^[Y1 : $i > $i > $i]: (c_Empty)))) @ c_Empty @ c_Empty))) ) | ~spl0_12),
% 184.35/23.67 inference(beta_eta_normalization,[],[f731])).
% 184.35/23.67 thf(f731,plain,(
% 184.35/23.67 ( ! [X1 : ($i > ($i > $i > $i) > $i) > $i > $i > $o] : ((((^[Y0 : $i]: ((X1 @ (^[Y1 : $i]: ((^[Y2 : $i > $i > $i]: (c_Empty)))) @ Y0 @ (c_binunion @ (c_Repl @ (c_binunion @ (c_Repl @ (c_binunion @ (c_Repl @ (c_binunion @ (c_Repl @ c_Empty @ (^[Y1 : $i]: (c_Repl @ Y1 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1)) @ (^[Y1 : $i]: (c_Repl @ Y1 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1)) @ (^[Y1 : $i]: (c_Repl @ Y1 @ c_Inj1))) @ (c_Repl @ (c_binunion @ (c_Repl @ (c_binunion @ (c_Repl @ c_Empty @ (^[Y1 : $i]: (c_Repl @ Y1 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1)) @ (^[Y1 : $i]: (c_Repl @ Y1 @ c_Inj1))) @ (c_Repl @ (c_Repl @ c_Empty @ c_Inj1) @ c_Inj1)) @ c_Inj1)) @ (^[Y1 : $i]: (c_Repl @ Y1 @ c_Inj1))) @ (c_Repl @ (c_binunion @ (c_Repl @ c_Empty @ (^[Y1 : $i]: (c_Repl @ Y1 @ c_Inj1))) @ (c_Repl @ (c_Inj1 @ (c_binunion @ (c_Repl @ c_Empty @ (^[Y1 : $i]: (c_Repl @ Y1 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1))) @ c_Inj1)) @ c_Inj1))) => (X1 @ (^[Y1 : $i]: ((^[Y2 : $i > $i > $i]: (Y0)))) @ (c_binunion @ (c_Repl @ (sK9 @ X1 @ (^[Y1 : ($i > $i) > $i > $i]: (Y0))) @ (^[Y1 : $i]: (c_Repl @ Y1 @ c_Inj1))) @ (c_Repl @ (sK15 @ X1) @ c_Inj1)) @ (c_Repl @ (c_Inj1 @ (c_binunion @ (c_Repl @ (c_binunion @ (c_Repl @ c_Empty @ (^[Y1 : $i]: (c_Repl @ Y1 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1)) @ (^[Y1 : $i]: (c_Repl @ Y1 @ c_Inj1))) @ (c_Repl @ (c_binunion @ (c_Repl @ c_Empty @ (^[Y1 : $i]: (c_Repl @ Y1 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1)) @ c_Inj1))) @ c_Inj1)))) @ (sK16 @ X1)) = $false) | ($true = (X1 @ (^[Y0 : $i]: ((^[Y1 : $i > $i > $i]: (c_Empty)))) @ c_Empty @ c_Empty))) ) | ~spl0_12),
% 184.35/23.67 inference(sigma_clausification,[],[f730])).
% 184.35/23.67 thf(f730,plain,(
% 184.35/23.67 ( ! [X1 : ($i > ($i > $i > $i) > $i) > $i > $i > $o] : (($false = (!! @ $i @ (^[Y0 : $i]: ((X1 @ (^[Y1 : $i]: ((^[Y2 : $i > $i > $i]: (c_Empty)))) @ Y0 @ (c_binunion @ (c_Repl @ (c_binunion @ (c_Repl @ (c_binunion @ (c_Repl @ (c_binunion @ (c_Repl @ c_Empty @ (^[Y1 : $i]: (c_Repl @ Y1 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1)) @ (^[Y1 : $i]: (c_Repl @ Y1 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1)) @ (^[Y1 : $i]: (c_Repl @ Y1 @ c_Inj1))) @ (c_Repl @ (c_binunion @ (c_Repl @ (c_binunion @ (c_Repl @ c_Empty @ (^[Y1 : $i]: (c_Repl @ Y1 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1)) @ (^[Y1 : $i]: (c_Repl @ Y1 @ c_Inj1))) @ (c_Repl @ (c_Repl @ c_Empty @ c_Inj1) @ c_Inj1)) @ c_Inj1)) @ (^[Y1 : $i]: (c_Repl @ Y1 @ c_Inj1))) @ (c_Repl @ (c_binunion @ (c_Repl @ c_Empty @ (^[Y1 : $i]: (c_Repl @ Y1 @ c_Inj1))) @ (c_Repl @ (c_Inj1 @ (c_binunion @ (c_Repl @ c_Empty @ (^[Y1 : $i]: (c_Repl @ Y1 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1))) @ c_Inj1)) @ c_Inj1))) => (X1 @ (^[Y1 : $i]: ((^[Y2 : $i > $i > $i]: (Y0)))) @ (c_binunion @ (c_Repl @ (sK9 @ X1 @ (^[Y1 : ($i > $i) > $i > $i]: (Y0))) @ (^[Y1 : $i]: (c_Repl @ Y1 @ c_Inj1))) @ (c_Repl @ (sK15 @ X1) @ c_Inj1)) @ (c_Repl @ (c_Inj1 @ (c_binunion @ (c_Repl @ (c_binunion @ (c_Repl @ c_Empty @ (^[Y1 : $i]: (c_Repl @ Y1 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1)) @ (^[Y1 : $i]: (c_Repl @ Y1 @ c_Inj1))) @ (c_Repl @ (c_binunion @ (c_Repl @ c_Empty @ (^[Y1 : $i]: (c_Repl @ Y1 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1)) @ c_Inj1))) @ c_Inj1)))))) | ($true = (X1 @ (^[Y0 : $i]: ((^[Y1 : $i > $i > $i]: (c_Empty)))) @ c_Empty @ c_Empty))) ) | ~spl0_12),
% 184.35/23.67 inference(beta_eta_normalization,[],[f729])).
% 184.35/23.67 thf(f729,plain,(
% 184.35/23.67 ( ! [X1 : ($i > ($i > $i > $i) > $i) > $i > $i > $o] : (($true = (X1 @ (^[Y0 : $i]: ((^[Y1 : $i > $i > $i]: (c_Empty)))) @ c_Empty @ c_Empty)) | ($false = ((^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((X1 @ (^[Y2 : $i]: ((^[Y3 : $i > $i > $i]: (c_Empty)))) @ Y1 @ (c_binunion @ (c_Repl @ (c_binunion @ (c_Repl @ (c_binunion @ (c_Repl @ (c_binunion @ (c_Repl @ c_Empty @ (^[Y2 : $i]: (c_Repl @ Y2 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1)) @ (^[Y2 : $i]: (c_Repl @ Y2 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1)) @ (^[Y2 : $i]: (c_Repl @ Y2 @ c_Inj1))) @ (c_Repl @ (c_binunion @ (c_Repl @ (c_binunion @ (c_Repl @ c_Empty @ (^[Y2 : $i]: (c_Repl @ Y2 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1)) @ (^[Y2 : $i]: (c_Repl @ Y2 @ c_Inj1))) @ (c_Repl @ (c_Repl @ c_Empty @ c_Inj1) @ c_Inj1)) @ c_Inj1)) @ (^[Y2 : $i]: (c_Repl @ Y2 @ c_Inj1))) @ (c_Repl @ (c_binunion @ (c_Repl @ c_Empty @ (^[Y2 : $i]: (c_Repl @ Y2 @ c_Inj1))) @ (c_Repl @ (c_Inj1 @ (c_binunion @ (c_Repl @ c_Empty @ (^[Y2 : $i]: (c_Repl @ Y2 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1))) @ c_Inj1)) @ c_Inj1))) => (X1 @ (^[Y2 : $i]: ((^[Y3 : $i > $i > $i]: (Y1)))) @ (c_binunion @ (c_Repl @ (sK9 @ X1 @ (^[Y2 : ($i > $i) > $i > $i]: (Y1))) @ (^[Y2 : $i]: (c_Repl @ Y2 @ c_Inj1))) @ (c_Repl @ Y0 @ c_Inj1)) @ (c_Repl @ (c_Inj1 @ (c_binunion @ (c_Repl @ (c_binunion @ (c_Repl @ c_Empty @ (^[Y2 : $i]: (c_Repl @ Y2 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1)) @ (^[Y2 : $i]: (c_Repl @ Y2 @ c_Inj1))) @ (c_Repl @ (c_binunion @ (c_Repl @ c_Empty @ (^[Y2 : $i]: (c_Repl @ Y2 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1)) @ c_Inj1))) @ c_Inj1)))))) @ (sK15 @ X1)))) ) | ~spl0_12),
% 184.35/23.67 inference(sigma_clausification,[],[f728])).
% 184.35/23.67 thf(f728,plain,(
% 184.35/23.67 ( ! [X1 : ($i > ($i > $i > $i) > $i) > $i > $i > $o] : (($false = (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((X1 @ (^[Y2 : $i]: ((^[Y3 : $i > $i > $i]: (c_Empty)))) @ Y1 @ (c_binunion @ (c_Repl @ (c_binunion @ (c_Repl @ (c_binunion @ (c_Repl @ (c_binunion @ (c_Repl @ c_Empty @ (^[Y2 : $i]: (c_Repl @ Y2 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1)) @ (^[Y2 : $i]: (c_Repl @ Y2 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1)) @ (^[Y2 : $i]: (c_Repl @ Y2 @ c_Inj1))) @ (c_Repl @ (c_binunion @ (c_Repl @ (c_binunion @ (c_Repl @ c_Empty @ (^[Y2 : $i]: (c_Repl @ Y2 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1)) @ (^[Y2 : $i]: (c_Repl @ Y2 @ c_Inj1))) @ (c_Repl @ (c_Repl @ c_Empty @ c_Inj1) @ c_Inj1)) @ c_Inj1)) @ (^[Y2 : $i]: (c_Repl @ Y2 @ c_Inj1))) @ (c_Repl @ (c_binunion @ (c_Repl @ c_Empty @ (^[Y2 : $i]: (c_Repl @ Y2 @ c_Inj1))) @ (c_Repl @ (c_Inj1 @ (c_binunion @ (c_Repl @ c_Empty @ (^[Y2 : $i]: (c_Repl @ Y2 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1))) @ c_Inj1)) @ c_Inj1))) => (X1 @ (^[Y2 : $i]: ((^[Y3 : $i > $i > $i]: (Y1)))) @ (c_binunion @ (c_Repl @ (sK9 @ X1 @ (^[Y2 : ($i > $i) > $i > $i]: (Y1))) @ (^[Y2 : $i]: (c_Repl @ Y2 @ c_Inj1))) @ (c_Repl @ Y0 @ c_Inj1)) @ (c_Repl @ (c_Inj1 @ (c_binunion @ (c_Repl @ (c_binunion @ (c_Repl @ c_Empty @ (^[Y2 : $i]: (c_Repl @ Y2 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1)) @ (^[Y2 : $i]: (c_Repl @ Y2 @ c_Inj1))) @ (c_Repl @ (c_binunion @ (c_Repl @ c_Empty @ (^[Y2 : $i]: (c_Repl @ Y2 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1)) @ c_Inj1))) @ c_Inj1)))))))) | ($true = (X1 @ (^[Y0 : $i]: ((^[Y1 : $i > $i > $i]: (c_Empty)))) @ c_Empty @ c_Empty))) ) | ~spl0_12),
% 184.35/23.67 inference(beta_eta_normalization,[],[f727])).
% 184.35/23.67 thf(f727,plain,(
% 184.35/23.67 ( ! [X1 : ($i > ($i > $i > $i) > $i) > $i > $i > $o] : ((((^[Y0 : ((($i > $i) > $i > $i) > $i) > $i]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((X1 @ (^[Y3 : $i]: ((^[Y4 : $i > $i > $i]: (c_Empty)))) @ Y2 @ (c_binunion @ (c_Repl @ (c_binunion @ (c_Repl @ (c_binunion @ (c_Repl @ (c_binunion @ (c_Repl @ c_Empty @ (^[Y3 : $i]: (c_Repl @ Y3 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1)) @ (^[Y3 : $i]: (c_Repl @ Y3 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1)) @ (^[Y3 : $i]: (c_Repl @ Y3 @ c_Inj1))) @ (c_Repl @ (c_binunion @ (c_Repl @ (c_binunion @ (c_Repl @ c_Empty @ (^[Y3 : $i]: (c_Repl @ Y3 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1)) @ (^[Y3 : $i]: (c_Repl @ Y3 @ c_Inj1))) @ (c_Repl @ (c_Repl @ c_Empty @ c_Inj1) @ c_Inj1)) @ c_Inj1)) @ (^[Y3 : $i]: (c_Repl @ Y3 @ c_Inj1))) @ (c_Repl @ (c_binunion @ (c_Repl @ c_Empty @ (^[Y3 : $i]: (c_Repl @ Y3 @ c_Inj1))) @ (c_Repl @ (c_Inj1 @ (c_binunion @ (c_Repl @ c_Empty @ (^[Y3 : $i]: (c_Repl @ Y3 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1))) @ c_Inj1)) @ c_Inj1))) => (X1 @ (^[Y3 : $i]: ((^[Y4 : $i > $i > $i]: (Y2)))) @ (c_binunion @ (c_Repl @ (Y0 @ (^[Y3 : ($i > $i) > $i > $i]: (Y2))) @ (^[Y3 : $i]: (c_Repl @ Y3 @ c_Inj1))) @ (c_Repl @ Y1 @ c_Inj1)) @ (c_Repl @ (c_Inj1 @ (c_binunion @ (c_Repl @ (c_binunion @ (c_Repl @ c_Empty @ (^[Y3 : $i]: (c_Repl @ Y3 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1)) @ (^[Y3 : $i]: (c_Repl @ Y3 @ c_Inj1))) @ (c_Repl @ (c_binunion @ (c_Repl @ c_Empty @ (^[Y3 : $i]: (c_Repl @ Y3 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1)) @ c_Inj1))) @ c_Inj1)))))))) @ (sK9 @ X1)) = $false) | ($true = (X1 @ (^[Y0 : $i]: ((^[Y1 : $i > $i > $i]: (c_Empty)))) @ c_Empty @ c_Empty))) ) | ~spl0_12),
% 184.35/23.67 inference(sigma_clausification,[],[f590])).
% 184.35/23.67 thf(f590,plain,(
% 184.35/23.67 ( ! [X1 : ($i > ($i > $i > $i) > $i) > $i > $i > $o] : (($false = (!! @ (((($i > $i) > $i > $i) > $i) > $i) @ (^[Y0 : ((($i > $i) > $i > $i) > $i) > $i]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((X1 @ (^[Y3 : $i]: ((^[Y4 : $i > $i > $i]: (c_Empty)))) @ Y2 @ (c_binunion @ (c_Repl @ (c_binunion @ (c_Repl @ (c_binunion @ (c_Repl @ (c_binunion @ (c_Repl @ c_Empty @ (^[Y3 : $i]: (c_Repl @ Y3 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1)) @ (^[Y3 : $i]: (c_Repl @ Y3 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1)) @ (^[Y3 : $i]: (c_Repl @ Y3 @ c_Inj1))) @ (c_Repl @ (c_binunion @ (c_Repl @ (c_binunion @ (c_Repl @ c_Empty @ (^[Y3 : $i]: (c_Repl @ Y3 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1)) @ (^[Y3 : $i]: (c_Repl @ Y3 @ c_Inj1))) @ (c_Repl @ (c_Repl @ c_Empty @ c_Inj1) @ c_Inj1)) @ c_Inj1)) @ (^[Y3 : $i]: (c_Repl @ Y3 @ c_Inj1))) @ (c_Repl @ (c_binunion @ (c_Repl @ c_Empty @ (^[Y3 : $i]: (c_Repl @ Y3 @ c_Inj1))) @ (c_Repl @ (c_Inj1 @ (c_binunion @ (c_Repl @ c_Empty @ (^[Y3 : $i]: (c_Repl @ Y3 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1))) @ c_Inj1)) @ c_Inj1))) => (X1 @ (^[Y3 : $i]: ((^[Y4 : $i > $i > $i]: (Y2)))) @ (c_binunion @ (c_Repl @ (Y0 @ (^[Y3 : ($i > $i) > $i > $i]: (Y2))) @ (^[Y3 : $i]: (c_Repl @ Y3 @ c_Inj1))) @ (c_Repl @ Y1 @ c_Inj1)) @ (c_Repl @ (c_Inj1 @ (c_binunion @ (c_Repl @ (c_binunion @ (c_Repl @ c_Empty @ (^[Y3 : $i]: (c_Repl @ Y3 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1)) @ (^[Y3 : $i]: (c_Repl @ Y3 @ c_Inj1))) @ (c_Repl @ (c_binunion @ (c_Repl @ c_Empty @ (^[Y3 : $i]: (c_Repl @ Y3 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1)) @ c_Inj1))) @ c_Inj1)))))))))) | ($true = (X1 @ (^[Y0 : $i]: ((^[Y1 : $i > $i > $i]: (c_Empty)))) @ c_Empty @ c_Empty))) ) | ~spl0_12),
% 184.35/23.67 inference(avatar_component_clause,[],[f589])).
% 184.35/23.67 thf(f589,plain,(
% 184.35/23.67 spl0_12 <=> ! [X1 : ($i > ($i > $i > $i) > $i) > $i > $i > $o] : (($true = (X1 @ (^[Y0 : $i]: ((^[Y1 : $i > $i > $i]: (c_Empty)))) @ c_Empty @ c_Empty)) | ($false = (!! @ (((($i > $i) > $i > $i) > $i) > $i) @ (^[Y0 : ((($i > $i) > $i > $i) > $i) > $i]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((X1 @ (^[Y3 : $i]: ((^[Y4 : $i > $i > $i]: (c_Empty)))) @ Y2 @ (c_binunion @ (c_Repl @ (c_binunion @ (c_Repl @ (c_binunion @ (c_Repl @ (c_binunion @ (c_Repl @ c_Empty @ (^[Y3 : $i]: (c_Repl @ Y3 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1)) @ (^[Y3 : $i]: (c_Repl @ Y3 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1)) @ (^[Y3 : $i]: (c_Repl @ Y3 @ c_Inj1))) @ (c_Repl @ (c_binunion @ (c_Repl @ (c_binunion @ (c_Repl @ c_Empty @ (^[Y3 : $i]: (c_Repl @ Y3 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1)) @ (^[Y3 : $i]: (c_Repl @ Y3 @ c_Inj1))) @ (c_Repl @ (c_Repl @ c_Empty @ c_Inj1) @ c_Inj1)) @ c_Inj1)) @ (^[Y3 : $i]: (c_Repl @ Y3 @ c_Inj1))) @ (c_Repl @ (c_binunion @ (c_Repl @ c_Empty @ (^[Y3 : $i]: (c_Repl @ Y3 @ c_Inj1))) @ (c_Repl @ (c_Inj1 @ (c_binunion @ (c_Repl @ c_Empty @ (^[Y3 : $i]: (c_Repl @ Y3 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1))) @ c_Inj1)) @ c_Inj1))) => (X1 @ (^[Y3 : $i]: ((^[Y4 : $i > $i > $i]: (Y2)))) @ (c_binunion @ (c_Repl @ (Y0 @ (^[Y3 : ($i > $i) > $i > $i]: (Y2))) @ (^[Y3 : $i]: (c_Repl @ Y3 @ c_Inj1))) @ (c_Repl @ Y1 @ c_Inj1)) @ (c_Repl @ (c_Inj1 @ (c_binunion @ (c_Repl @ (c_binunion @ (c_Repl @ c_Empty @ (^[Y3 : $i]: (c_Repl @ Y3 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1)) @ (^[Y3 : $i]: (c_Repl @ Y3 @ c_Inj1))) @ (c_Repl @ (c_binunion @ (c_Repl @ c_Empty @ (^[Y3 : $i]: (c_Repl @ Y3 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1)) @ c_Inj1))) @ c_Inj1)))))))))))),
% 184.35/23.67 introduced(avatar_definition,[new_symbols(naming,[spl0_12])])).
% 184.35/23.67 thf(f715,plain,(
% 184.35/23.67 ~spl0_14),
% 184.35/23.67 inference(avatar_contradiction_clause,[],[f714])).
% 184.35/23.67 thf(f714,plain,(
% 184.35/23.67 $false | ~spl0_14),
% 184.35/23.67 inference(trivial_inequality_removal,[],[f713])).
% 184.35/23.67 thf(f713,plain,(
% 184.35/23.67 ($true = $false) | ~spl0_14),
% 184.35/23.67 inference(beta_eta_normalization,[],[f712])).
% 184.35/23.67 thf(f712,plain,(
% 184.35/23.67 ($false = ((^[Y0 : $i]: ($true)) @ sK24)) | ~spl0_14),
% 184.35/23.67 inference(sigma_clausification,[],[f693])).
% 184.35/23.67 thf(f693,plain,(
% 184.35/23.67 ($false = (!! @ $i @ (^[Y0 : $i]: ($true)))) | ~spl0_14),
% 184.35/23.67 inference(beta_eta_normalization,[],[f692])).
% 184.35/23.67 thf(f692,plain,(
% 184.35/23.67 ($false = ((^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ($true)))) @ sK23)) | ~spl0_14),
% 184.35/23.67 inference(sigma_clausification,[],[f677])).
% 184.35/23.67 thf(f677,plain,(
% 184.35/23.67 ($false = (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ($true)))))) | ~spl0_14),
% 184.35/23.67 inference(beta_eta_normalization,[],[f676])).
% 184.35/23.67 thf(f676,plain,(
% 184.35/23.67 ($false = ((^[Y0 : (($i > $i > $i) > ($i > $i) > $i > $i) > $i]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ($true)))))) @ sK22)) | ~spl0_14),
% 184.35/23.67 inference(sigma_clausification,[],[f597])).
% 184.35/23.67 thf(f597,plain,(
% 184.35/23.67 ((!! @ ((($i > $i > $i) > ($i > $i) > $i > $i) > $i) @ (^[Y0 : (($i > $i > $i) > ($i > $i) > $i > $i) > $i]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ($true))))))) = $false) | ~spl0_14),
% 184.35/23.67 inference(avatar_component_clause,[],[f595])).
% 184.35/23.67 thf(f595,plain,(
% 184.35/23.67 spl0_14 <=> ((!! @ ((($i > $i > $i) > ($i > $i) > $i > $i) > $i) @ (^[Y0 : (($i > $i > $i) > ($i > $i) > $i > $i) > $i]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ($true))))))) = $false)),
% 184.35/23.67 introduced(avatar_definition,[new_symbols(naming,[spl0_14])])).
% 184.35/23.67 thf(f598,plain,(
% 184.35/23.67 spl0_12 | spl0_13 | spl0_14),
% 184.35/23.67 inference(avatar_split_clause,[],[f583,f595,f592,f589])).
% 184.35/23.67 thf(f583,plain,(
% 184.35/23.67 ( ! [X2 : ($i > (($i > $i) > $i) > $i) > $i > $o,X1 : ($i > ($i > $i > $i) > $i) > $i > $i > $o,X4 : ($i > $i > (($i > $i) > $i > $i) > $i) > $i > $i > $o] : (($true = (X1 @ (^[Y0 : $i]: ((^[Y1 : $i > $i > $i]: (c_Empty)))) @ c_Empty @ c_Empty)) | ((!! @ ((($i > $i > $i) > ($i > $i) > $i > $i) > $i) @ (^[Y0 : (($i > $i > $i) > ($i > $i) > $i > $i) > $i]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ($true))))))) = $false) | ($false = (!! @ (((($i > $i) > $i > $i) > $i) > $i) @ (^[Y0 : ((($i > $i) > $i > $i) > $i) > $i]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((X1 @ (^[Y3 : $i]: ((^[Y4 : $i > $i > $i]: (c_Empty)))) @ Y2 @ (c_binunion @ (c_Repl @ (c_binunion @ (c_Repl @ (c_binunion @ (c_Repl @ (c_binunion @ (c_Repl @ c_Empty @ (^[Y3 : $i]: (c_Repl @ Y3 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1)) @ (^[Y3 : $i]: (c_Repl @ Y3 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1)) @ (^[Y3 : $i]: (c_Repl @ Y3 @ c_Inj1))) @ (c_Repl @ (c_binunion @ (c_Repl @ (c_binunion @ (c_Repl @ c_Empty @ (^[Y3 : $i]: (c_Repl @ Y3 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1)) @ (^[Y3 : $i]: (c_Repl @ Y3 @ c_Inj1))) @ (c_Repl @ (c_Repl @ c_Empty @ c_Inj1) @ c_Inj1)) @ c_Inj1)) @ (^[Y3 : $i]: (c_Repl @ Y3 @ c_Inj1))) @ (c_Repl @ (c_binunion @ (c_Repl @ c_Empty @ (^[Y3 : $i]: (c_Repl @ Y3 @ c_Inj1))) @ (c_Repl @ (c_Inj1 @ (c_binunion @ (c_Repl @ c_Empty @ (^[Y3 : $i]: (c_Repl @ Y3 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1))) @ c_Inj1)) @ c_Inj1))) => (X1 @ (^[Y3 : $i]: ((^[Y4 : $i > $i > $i]: (Y2)))) @ (c_binunion @ (c_Repl @ (Y0 @ (^[Y3 : ($i > $i) > $i > $i]: (Y2))) @ (^[Y3 : $i]: (c_Repl @ Y3 @ c_Inj1))) @ (c_Repl @ Y1 @ c_Inj1)) @ (c_Repl @ (c_Inj1 @ (c_binunion @ (c_Repl @ (c_binunion @ (c_Repl @ c_Empty @ (^[Y3 : $i]: (c_Repl @ Y3 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1)) @ (^[Y3 : $i]: (c_Repl @ Y3 @ c_Inj1))) @ (c_Repl @ (c_binunion @ (c_Repl @ c_Empty @ (^[Y3 : $i]: (c_Repl @ Y3 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1)) @ c_Inj1))) @ c_Inj1)))))))))) | ($false = (!! @ $i @ (^[Y0 : $i]: (!! @ (((($i > $i) > $i > $i) > $i) > $i) @ (^[Y1 : ((($i > $i) > $i > $i) > $i) > $i]: ((c_In @ (c_Inj1 @ c_Empty) @ Y0) => ((X2 @ (^[Y2 : $i]: ((^[Y3 : ($i > $i) > $i]: (c_Empty)))) @ c_Empty) => (X4 @ (^[Y2 : $i]: ((^[Y3 : $i]: ((^[Y4 : ($i > $i) > $i > $i]: (c_Inj1 @ c_Empty)))))) @ (c_Inj1 @ (c_Inj1 @ (Y1 @ (^[Y2 : ($i > $i) > $i > $i]: (c_Empty))))) @ (c_Inj1 @ (c_binunion @ (c_Repl @ (c_binunion @ (c_Repl @ (c_Repl @ c_Empty @ c_Inj1) @ (^[Y2 : $i]: (c_Repl @ Y2 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1)) @ (^[Y2 : $i]: (c_Repl @ Y2 @ c_Inj1))) @ (c_Repl @ (c_Inj1 @ (c_Repl @ c_Empty @ c_Inj1)) @ c_Inj1))))))))))) | ((!! @ $i @ (^[Y0 : $i]: (!! @ ($i > $i) @ (^[Y1 : $i > $i]: (~ (X4 @ (^[Y2 : $i]: ((^[Y3 : $i]: ((^[Y4 : ($i > $i) > $i > $i]: (c_Empty)))))) @ (Y1 @ c_Empty) @ Y0)))))) = $false) | ($false = (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: ((c_In @ (c_Repl @ Y0 @ c_Inj1) @ (c_binunion @ (c_Repl @ (c_binunion @ (c_Repl @ Y3 @ (^[Y4 : $i]: (c_Repl @ Y4 @ c_Inj1))) @ (c_Repl @ (c_binunion @ (c_Repl @ Y1 @ (^[Y4 : $i]: (c_Repl @ Y4 @ c_Inj1))) @ (c_Repl @ (c_binunion @ (c_Repl @ c_Empty @ (^[Y4 : $i]: (c_Repl @ Y4 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1)) @ c_Inj1)) @ c_Inj1)) @ (^[Y4 : $i]: (c_Repl @ Y4 @ c_Inj1))) @ (c_Repl @ (c_Inj1 @ (c_binunion @ (c_Repl @ Y1 @ (^[Y4 : $i]: (c_Repl @ Y4 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1))) @ c_Inj1))) => (~ (X2 @ (^[Y4 : $i]: ((^[Y5 : ($i > $i) > $i]: (Y2)))) @ c_Empty)))))))))))) | ($false = (!! @ ($i > (($i > $i) > $i > $i) > $i) @ (^[Y0 : $i > (($i > $i) > $i > $i) > $i]: (!! @ (((($i > $i) > $i > $i) > ($i > $i) > $i > $i) > ($i > $i > $i) > $i) @ (^[Y1 : ((($i > $i) > $i > $i) > ($i > $i) > $i > $i) > ($i > $i > $i) > $i]: (!! @ $i @ (^[Y2 : $i]: ((c_In @ (c_Repl @ c_Empty @ c_Inj1) @ (c_binunion @ (c_Repl @ c_Empty @ (^[Y3 : $i]: (c_Repl @ Y3 @ c_Inj1))) @ (c_Repl @ (Y0 @ (c_Repl @ (c_binunion @ (c_Repl @ c_Empty @ (^[Y3 : $i]: (c_Repl @ Y3 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1)) @ c_Inj1) @ (^[Y3 : $i > $i]: ((^[Y4 : $i]: (c_Repl @ c_Empty @ c_Inj1))))) @ c_Inj1))) => (~ (X4 @ (^[Y3 : $i]: ((^[Y4 : $i]: ((^[Y5 : ($i > $i) > $i > $i]: (Y3)))))) @ Y2 @ (Y1 @ (^[Y3 : ($i > $i) > $i > $i]: ((^[Y4 : $i > $i]: ((^[Y5 : $i]: (c_Inj1 @ c_Empty)))))) @ (^[Y3 : $i]: ((^[Y4 : $i]: (c_Empty)))))))))))))))) )),
% 184.35/23.67 inference(boolean_simplification,[],[f582])).
% 184.35/23.67 thf(f582,plain,(
% 184.35/23.67 ( ! [X2 : ($i > (($i > $i) > $i) > $i) > $i > $o,X1 : ($i > ($i > $i > $i) > $i) > $i > $i > $o,X4 : ($i > $i > (($i > $i) > $i > $i) > $i) > $i > $i > $o] : (((!! @ $i @ (^[Y0 : $i]: (!! @ ($i > $i) @ (^[Y1 : $i > $i]: (~ (X4 @ (^[Y2 : $i]: ((^[Y3 : $i]: ((^[Y4 : ($i > $i) > $i > $i]: (c_Empty)))))) @ (Y1 @ c_Empty) @ Y0)))))) = $false) | ($true = (X1 @ (^[Y0 : $i]: ((^[Y1 : $i > $i > $i]: (c_Empty)))) @ c_Empty @ c_Empty)) | ($false = (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: ((c_In @ (c_Repl @ Y0 @ c_Inj1) @ (c_binunion @ (c_Repl @ (c_binunion @ (c_Repl @ Y3 @ (^[Y4 : $i]: (c_Repl @ Y4 @ c_Inj1))) @ (c_Repl @ (c_binunion @ (c_Repl @ Y1 @ (^[Y4 : $i]: (c_Repl @ Y4 @ c_Inj1))) @ (c_Repl @ (c_binunion @ (c_Repl @ c_Empty @ (^[Y4 : $i]: (c_Repl @ Y4 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1)) @ c_Inj1)) @ c_Inj1)) @ (^[Y4 : $i]: (c_Repl @ Y4 @ c_Inj1))) @ (c_Repl @ (c_Inj1 @ (c_binunion @ (c_Repl @ Y1 @ (^[Y4 : $i]: (c_Repl @ Y4 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1))) @ c_Inj1))) => ((X2 @ (^[Y4 : $i]: ((^[Y5 : ($i > $i) > $i]: (Y2)))) @ c_Empty) => $false))))))))))) | ((!! @ ((($i > $i > $i) > ($i > $i) > $i > $i) > $i) @ (^[Y0 : (($i > $i > $i) > ($i > $i) > $i > $i) > $i]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ($true))))))) = $false) | ($false = (!! @ ($i > (($i > $i) > $i > $i) > $i) @ (^[Y0 : $i > (($i > $i) > $i > $i) > $i]: (!! @ (((($i > $i) > $i > $i) > ($i > $i) > $i > $i) > ($i > $i > $i) > $i) @ (^[Y1 : ((($i > $i) > $i > $i) > ($i > $i) > $i > $i) > ($i > $i > $i) > $i]: (!! @ $i @ (^[Y2 : $i]: ((c_In @ (c_Repl @ c_Empty @ c_Inj1) @ (c_binunion @ (c_Repl @ c_Empty @ (^[Y3 : $i]: (c_Repl @ Y3 @ c_Inj1))) @ (c_Repl @ (Y0 @ (c_Repl @ (c_binunion @ (c_Repl @ c_Empty @ (^[Y3 : $i]: (c_Repl @ Y3 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1)) @ c_Inj1) @ (^[Y3 : $i > $i]: ((^[Y4 : $i]: (c_Repl @ c_Empty @ c_Inj1))))) @ c_Inj1))) => (~ (X4 @ (^[Y3 : $i]: ((^[Y4 : $i]: ((^[Y5 : ($i > $i) > $i > $i]: (Y3)))))) @ Y2 @ (Y1 @ (^[Y3 : ($i > $i) > $i > $i]: ((^[Y4 : $i > $i]: ((^[Y5 : $i]: (c_Inj1 @ c_Empty)))))) @ (^[Y3 : $i]: ((^[Y4 : $i]: (c_Empty))))))))))))))) | ($false = (!! @ (((($i > $i) > $i > $i) > $i) > $i) @ (^[Y0 : ((($i > $i) > $i > $i) > $i) > $i]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((X1 @ (^[Y3 : $i]: ((^[Y4 : $i > $i > $i]: (c_Empty)))) @ Y2 @ (c_binunion @ (c_Repl @ (c_binunion @ (c_Repl @ (c_binunion @ (c_Repl @ (c_binunion @ (c_Repl @ c_Empty @ (^[Y3 : $i]: (c_Repl @ Y3 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1)) @ (^[Y3 : $i]: (c_Repl @ Y3 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1)) @ (^[Y3 : $i]: (c_Repl @ Y3 @ c_Inj1))) @ (c_Repl @ (c_binunion @ (c_Repl @ (c_binunion @ (c_Repl @ c_Empty @ (^[Y3 : $i]: (c_Repl @ Y3 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1)) @ (^[Y3 : $i]: (c_Repl @ Y3 @ c_Inj1))) @ (c_Repl @ (c_Repl @ c_Empty @ c_Inj1) @ c_Inj1)) @ c_Inj1)) @ (^[Y3 : $i]: (c_Repl @ Y3 @ c_Inj1))) @ (c_Repl @ (c_binunion @ (c_Repl @ c_Empty @ (^[Y3 : $i]: (c_Repl @ Y3 @ c_Inj1))) @ (c_Repl @ (c_Inj1 @ (c_binunion @ (c_Repl @ c_Empty @ (^[Y3 : $i]: (c_Repl @ Y3 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1))) @ c_Inj1)) @ c_Inj1))) => (X1 @ (^[Y3 : $i]: ((^[Y4 : $i > $i > $i]: (Y2)))) @ (c_binunion @ (c_Repl @ (Y0 @ (^[Y3 : ($i > $i) > $i > $i]: (Y2))) @ (^[Y3 : $i]: (c_Repl @ Y3 @ c_Inj1))) @ (c_Repl @ Y1 @ c_Inj1)) @ (c_Repl @ (c_Inj1 @ (c_binunion @ (c_Repl @ (c_binunion @ (c_Repl @ c_Empty @ (^[Y3 : $i]: (c_Repl @ Y3 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1)) @ (^[Y3 : $i]: (c_Repl @ Y3 @ c_Inj1))) @ (c_Repl @ (c_binunion @ (c_Repl @ c_Empty @ (^[Y3 : $i]: (c_Repl @ Y3 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1)) @ c_Inj1))) @ c_Inj1)))))))))) | ($false = (!! @ $i @ (^[Y0 : $i]: (!! @ (((($i > $i) > $i > $i) > $i) > $i) @ (^[Y1 : ((($i > $i) > $i > $i) > $i) > $i]: ((c_In @ (c_Inj1 @ c_Empty) @ Y0) => ((X2 @ (^[Y2 : $i]: ((^[Y3 : ($i > $i) > $i]: (c_Empty)))) @ c_Empty) => (X4 @ (^[Y2 : $i]: ((^[Y3 : $i]: ((^[Y4 : ($i > $i) > $i > $i]: (c_Inj1 @ c_Empty)))))) @ (c_Inj1 @ (c_Inj1 @ (Y1 @ (^[Y2 : ($i > $i) > $i > $i]: (c_Empty))))) @ (c_Inj1 @ (c_binunion @ (c_Repl @ (c_binunion @ (c_Repl @ (c_Repl @ c_Empty @ c_Inj1) @ (^[Y2 : $i]: (c_Repl @ Y2 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1)) @ (^[Y2 : $i]: (c_Repl @ Y2 @ c_Inj1))) @ (c_Repl @ (c_Inj1 @ (c_Repl @ c_Empty @ c_Inj1)) @ c_Inj1)))))))))))) )),
% 184.35/23.67 inference(boolean_simplification,[],[f581])).
% 184.35/23.67 thf(f581,plain,(
% 184.35/23.67 ( ! [X2 : ($i > (($i > $i) > $i) > $i) > $i > $o,X1 : ($i > ($i > $i > $i) > $i) > $i > $i > $o,X4 : ($i > $i > (($i > $i) > $i > $i) > $i) > $i > $i > $o] : (($true = (X1 @ (^[Y0 : $i]: ((^[Y1 : $i > $i > $i]: (c_Empty)))) @ c_Empty @ c_Empty)) | ($false = (!! @ ($i > (($i > $i) > $i > $i) > $i) @ (^[Y0 : $i > (($i > $i) > $i > $i) > $i]: (!! @ (((($i > $i) > $i > $i) > ($i > $i) > $i > $i) > ($i > $i > $i) > $i) @ (^[Y1 : ((($i > $i) > $i > $i) > ($i > $i) > $i > $i) > ($i > $i > $i) > $i]: (!! @ $i @ (^[Y2 : $i]: ((c_In @ (c_Repl @ c_Empty @ c_Inj1) @ (c_binunion @ (c_Repl @ c_Empty @ (^[Y3 : $i]: (c_Repl @ Y3 @ c_Inj1))) @ (c_Repl @ (Y0 @ (c_Repl @ (c_binunion @ (c_Repl @ c_Empty @ (^[Y3 : $i]: (c_Repl @ Y3 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1)) @ c_Inj1) @ (^[Y3 : $i > $i]: ((^[Y4 : $i]: (c_Repl @ c_Empty @ c_Inj1))))) @ c_Inj1))) => (~ (X4 @ (^[Y3 : $i]: ((^[Y4 : $i]: ((^[Y5 : ($i > $i) > $i > $i]: (Y3)))))) @ Y2 @ (Y1 @ (^[Y3 : ($i > $i) > $i > $i]: ((^[Y4 : $i > $i]: ((^[Y5 : $i]: (c_Inj1 @ c_Empty)))))) @ (^[Y3 : $i]: ((^[Y4 : $i]: (c_Empty))))))))))))))) | ($false = (!! @ (((($i > $i) > $i > $i) > $i) > $i) @ (^[Y0 : ((($i > $i) > $i > $i) > $i) > $i]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((X1 @ (^[Y3 : $i]: ((^[Y4 : $i > $i > $i]: (c_Empty)))) @ Y2 @ (c_binunion @ (c_Repl @ (c_binunion @ (c_Repl @ (c_binunion @ (c_Repl @ (c_binunion @ (c_Repl @ c_Empty @ (^[Y3 : $i]: (c_Repl @ Y3 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1)) @ (^[Y3 : $i]: (c_Repl @ Y3 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1)) @ (^[Y3 : $i]: (c_Repl @ Y3 @ c_Inj1))) @ (c_Repl @ (c_binunion @ (c_Repl @ (c_binunion @ (c_Repl @ c_Empty @ (^[Y3 : $i]: (c_Repl @ Y3 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1)) @ (^[Y3 : $i]: (c_Repl @ Y3 @ c_Inj1))) @ (c_Repl @ (c_Repl @ c_Empty @ c_Inj1) @ c_Inj1)) @ c_Inj1)) @ (^[Y3 : $i]: (c_Repl @ Y3 @ c_Inj1))) @ (c_Repl @ (c_binunion @ (c_Repl @ c_Empty @ (^[Y3 : $i]: (c_Repl @ Y3 @ c_Inj1))) @ (c_Repl @ (c_Inj1 @ (c_binunion @ (c_Repl @ c_Empty @ (^[Y3 : $i]: (c_Repl @ Y3 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1))) @ c_Inj1)) @ c_Inj1))) => (X1 @ (^[Y3 : $i]: ((^[Y4 : $i > $i > $i]: (Y2)))) @ (c_binunion @ (c_Repl @ (Y0 @ (^[Y3 : ($i > $i) > $i > $i]: (Y2))) @ (^[Y3 : $i]: (c_Repl @ Y3 @ c_Inj1))) @ (c_Repl @ Y1 @ c_Inj1)) @ (c_Repl @ (c_Inj1 @ (c_binunion @ (c_Repl @ (c_binunion @ (c_Repl @ c_Empty @ (^[Y3 : $i]: (c_Repl @ Y3 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1)) @ (^[Y3 : $i]: (c_Repl @ Y3 @ c_Inj1))) @ (c_Repl @ (c_binunion @ (c_Repl @ c_Empty @ (^[Y3 : $i]: (c_Repl @ Y3 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1)) @ c_Inj1))) @ c_Inj1)))))))))) | ($false = (!! @ ((($i > $i > $i) > ($i > $i) > $i > $i) > $i) @ (^[Y0 : (($i > $i > $i) > ($i > $i) > $i > $i) > $i]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((c_In @ (c_Repl @ Y1 @ c_Inj1) @ (c_binunion @ (c_Repl @ (c_binunion @ (c_Repl @ c_Empty @ (^[Y3 : $i]: (c_Repl @ Y3 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1)) @ (^[Y3 : $i]: (c_Repl @ Y3 @ c_Inj1))) @ (c_Repl @ (c_binunion @ (c_Repl @ Y1 @ (^[Y3 : $i]: (c_Repl @ Y3 @ c_Inj1))) @ (c_Repl @ (c_Repl @ (c_binunion @ (c_Repl @ c_Empty @ (^[Y3 : $i]: (c_Repl @ Y3 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1)) @ c_Inj1) @ c_Inj1)) @ c_Inj1))) => $true)))))))) | ($false = (!! @ $i @ (^[Y0 : $i]: (!! @ (((($i > $i) > $i > $i) > $i) > $i) @ (^[Y1 : ((($i > $i) > $i > $i) > $i) > $i]: ((c_In @ (c_Inj1 @ c_Empty) @ Y0) => ((X2 @ (^[Y2 : $i]: ((^[Y3 : ($i > $i) > $i]: (c_Empty)))) @ c_Empty) => (X4 @ (^[Y2 : $i]: ((^[Y3 : $i]: ((^[Y4 : ($i > $i) > $i > $i]: (c_Inj1 @ c_Empty)))))) @ (c_Inj1 @ (c_Inj1 @ (Y1 @ (^[Y2 : ($i > $i) > $i > $i]: (c_Empty))))) @ (c_Inj1 @ (c_binunion @ (c_Repl @ (c_binunion @ (c_Repl @ (c_Repl @ c_Empty @ c_Inj1) @ (^[Y2 : $i]: (c_Repl @ Y2 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1)) @ (^[Y2 : $i]: (c_Repl @ Y2 @ c_Inj1))) @ (c_Repl @ (c_Inj1 @ (c_Repl @ c_Empty @ c_Inj1)) @ c_Inj1))))))))))) | ((!! @ $i @ (^[Y0 : $i]: (!! @ ($i > $i) @ (^[Y1 : $i > $i]: (~ (X4 @ (^[Y2 : $i]: ((^[Y3 : $i]: ((^[Y4 : ($i > $i) > $i > $i]: (c_Empty)))))) @ (Y1 @ c_Empty) @ Y0)))))) = $false) | ($false = (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: ((c_In @ (c_Repl @ Y0 @ c_Inj1) @ (c_binunion @ (c_Repl @ (c_binunion @ (c_Repl @ Y3 @ (^[Y4 : $i]: (c_Repl @ Y4 @ c_Inj1))) @ (c_Repl @ (c_binunion @ (c_Repl @ Y1 @ (^[Y4 : $i]: (c_Repl @ Y4 @ c_Inj1))) @ (c_Repl @ (c_binunion @ (c_Repl @ c_Empty @ (^[Y4 : $i]: (c_Repl @ Y4 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1)) @ c_Inj1)) @ c_Inj1)) @ (^[Y4 : $i]: (c_Repl @ Y4 @ c_Inj1))) @ (c_Repl @ (c_Inj1 @ (c_binunion @ (c_Repl @ Y1 @ (^[Y4 : $i]: (c_Repl @ Y4 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1))) @ c_Inj1))) => ((X2 @ (^[Y4 : $i]: ((^[Y5 : ($i > $i) > $i]: (Y2)))) @ c_Empty) => $false)))))))))))) )),
% 184.35/23.67 inference(boolean_simplification,[],[f580])).
% 184.35/23.67 thf(f580,plain,(
% 184.35/23.67 ( ! [X2 : ($i > (($i > $i) > $i) > $i) > $i > $o,X1 : ($i > ($i > $i > $i) > $i) > $i > $i > $o,X4 : ($i > $i > (($i > $i) > $i > $i) > $i) > $i > $i > $o] : (($false = (!! @ ((($i > $i > $i) > ($i > $i) > $i > $i) > $i) @ (^[Y0 : (($i > $i > $i) > ($i > $i) > $i > $i) > $i]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((c_In @ (c_Repl @ Y1 @ c_Inj1) @ (c_binunion @ (c_Repl @ (c_binunion @ (c_Repl @ c_Empty @ (^[Y3 : $i]: (c_Repl @ Y3 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1)) @ (^[Y3 : $i]: (c_Repl @ Y3 @ c_Inj1))) @ (c_Repl @ (c_binunion @ (c_Repl @ Y1 @ (^[Y3 : $i]: (c_Repl @ Y3 @ c_Inj1))) @ (c_Repl @ (c_Repl @ (c_binunion @ (c_Repl @ c_Empty @ (^[Y3 : $i]: (c_Repl @ Y3 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1)) @ c_Inj1) @ c_Inj1)) @ c_Inj1))) => ($false => (X1 @ (^[Y3 : $i]: ((^[Y4 : $i > $i > $i]: (c_Repl @ Y3 @ c_Inj1)))) @ Y2 @ (c_binunion @ (c_Repl @ (c_binunion @ (c_Repl @ (c_binunion @ (c_Repl @ c_Empty @ (^[Y3 : $i]: (c_Repl @ Y3 @ c_Inj1))) @ (c_Repl @ (c_binunion @ (c_Repl @ c_Empty @ (^[Y3 : $i]: (c_Repl @ Y3 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1)) @ c_Inj1)) @ (^[Y3 : $i]: (c_Repl @ Y3 @ c_Inj1))) @ (c_Repl @ (c_Repl @ c_Empty @ c_Inj1) @ c_Inj1)) @ (^[Y3 : $i]: (c_Repl @ Y3 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1)))))))))))) | ($false = (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: ((c_In @ (c_Repl @ Y0 @ c_Inj1) @ (c_binunion @ (c_Repl @ (c_binunion @ (c_Repl @ Y3 @ (^[Y4 : $i]: (c_Repl @ Y4 @ c_Inj1))) @ (c_Repl @ (c_binunion @ (c_Repl @ Y1 @ (^[Y4 : $i]: (c_Repl @ Y4 @ c_Inj1))) @ (c_Repl @ (c_binunion @ (c_Repl @ c_Empty @ (^[Y4 : $i]: (c_Repl @ Y4 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1)) @ c_Inj1)) @ c_Inj1)) @ (^[Y4 : $i]: (c_Repl @ Y4 @ c_Inj1))) @ (c_Repl @ (c_Inj1 @ (c_binunion @ (c_Repl @ Y1 @ (^[Y4 : $i]: (c_Repl @ Y4 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1))) @ c_Inj1))) => ((X2 @ (^[Y4 : $i]: ((^[Y5 : ($i > $i) > $i]: (Y2)))) @ c_Empty) => $false))))))))))) | ((!! @ $i @ (^[Y0 : $i]: (!! @ ($i > $i) @ (^[Y1 : $i > $i]: (~ (X4 @ (^[Y2 : $i]: ((^[Y3 : $i]: ((^[Y4 : ($i > $i) > $i > $i]: (c_Empty)))))) @ (Y1 @ c_Empty) @ Y0)))))) = $false) | ($true = (X1 @ (^[Y0 : $i]: ((^[Y1 : $i > $i > $i]: (c_Empty)))) @ c_Empty @ c_Empty)) | ($false = (!! @ (((($i > $i) > $i > $i) > $i) > $i) @ (^[Y0 : ((($i > $i) > $i > $i) > $i) > $i]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((X1 @ (^[Y3 : $i]: ((^[Y4 : $i > $i > $i]: (c_Empty)))) @ Y2 @ (c_binunion @ (c_Repl @ (c_binunion @ (c_Repl @ (c_binunion @ (c_Repl @ (c_binunion @ (c_Repl @ c_Empty @ (^[Y3 : $i]: (c_Repl @ Y3 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1)) @ (^[Y3 : $i]: (c_Repl @ Y3 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1)) @ (^[Y3 : $i]: (c_Repl @ Y3 @ c_Inj1))) @ (c_Repl @ (c_binunion @ (c_Repl @ (c_binunion @ (c_Repl @ c_Empty @ (^[Y3 : $i]: (c_Repl @ Y3 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1)) @ (^[Y3 : $i]: (c_Repl @ Y3 @ c_Inj1))) @ (c_Repl @ (c_Repl @ c_Empty @ c_Inj1) @ c_Inj1)) @ c_Inj1)) @ (^[Y3 : $i]: (c_Repl @ Y3 @ c_Inj1))) @ (c_Repl @ (c_binunion @ (c_Repl @ c_Empty @ (^[Y3 : $i]: (c_Repl @ Y3 @ c_Inj1))) @ (c_Repl @ (c_Inj1 @ (c_binunion @ (c_Repl @ c_Empty @ (^[Y3 : $i]: (c_Repl @ Y3 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1))) @ c_Inj1)) @ c_Inj1))) => (X1 @ (^[Y3 : $i]: ((^[Y4 : $i > $i > $i]: (Y2)))) @ (c_binunion @ (c_Repl @ (Y0 @ (^[Y3 : ($i > $i) > $i > $i]: (Y2))) @ (^[Y3 : $i]: (c_Repl @ Y3 @ c_Inj1))) @ (c_Repl @ Y1 @ c_Inj1)) @ (c_Repl @ (c_Inj1 @ (c_binunion @ (c_Repl @ (c_binunion @ (c_Repl @ c_Empty @ (^[Y3 : $i]: (c_Repl @ Y3 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1)) @ (^[Y3 : $i]: (c_Repl @ Y3 @ c_Inj1))) @ (c_Repl @ (c_binunion @ (c_Repl @ c_Empty @ (^[Y3 : $i]: (c_Repl @ Y3 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1)) @ c_Inj1))) @ c_Inj1)))))))))) | ($false = (!! @ ($i > (($i > $i) > $i > $i) > $i) @ (^[Y0 : $i > (($i > $i) > $i > $i) > $i]: (!! @ (((($i > $i) > $i > $i) > ($i > $i) > $i > $i) > ($i > $i > $i) > $i) @ (^[Y1 : ((($i > $i) > $i > $i) > ($i > $i) > $i > $i) > ($i > $i > $i) > $i]: (!! @ $i @ (^[Y2 : $i]: ((c_In @ (c_Repl @ c_Empty @ c_Inj1) @ (c_binunion @ (c_Repl @ c_Empty @ (^[Y3 : $i]: (c_Repl @ Y3 @ c_Inj1))) @ (c_Repl @ (Y0 @ (c_Repl @ (c_binunion @ (c_Repl @ c_Empty @ (^[Y3 : $i]: (c_Repl @ Y3 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1)) @ c_Inj1) @ (^[Y3 : $i > $i]: ((^[Y4 : $i]: (c_Repl @ c_Empty @ c_Inj1))))) @ c_Inj1))) => (~ (X4 @ (^[Y3 : $i]: ((^[Y4 : $i]: ((^[Y5 : ($i > $i) > $i > $i]: (Y3)))))) @ Y2 @ (Y1 @ (^[Y3 : ($i > $i) > $i > $i]: ((^[Y4 : $i > $i]: ((^[Y5 : $i]: (c_Inj1 @ c_Empty)))))) @ (^[Y3 : $i]: ((^[Y4 : $i]: (c_Empty))))))))))))))) | ($false = (!! @ $i @ (^[Y0 : $i]: (!! @ (((($i > $i) > $i > $i) > $i) > $i) @ (^[Y1 : ((($i > $i) > $i > $i) > $i) > $i]: ((c_In @ (c_Inj1 @ c_Empty) @ Y0) => ((X2 @ (^[Y2 : $i]: ((^[Y3 : ($i > $i) > $i]: (c_Empty)))) @ c_Empty) => (X4 @ (^[Y2 : $i]: ((^[Y3 : $i]: ((^[Y4 : ($i > $i) > $i > $i]: (c_Inj1 @ c_Empty)))))) @ (c_Inj1 @ (c_Inj1 @ (Y1 @ (^[Y2 : ($i > $i) > $i > $i]: (c_Empty))))) @ (c_Inj1 @ (c_binunion @ (c_Repl @ (c_binunion @ (c_Repl @ (c_Repl @ c_Empty @ c_Inj1) @ (^[Y2 : $i]: (c_Repl @ Y2 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1)) @ (^[Y2 : $i]: (c_Repl @ Y2 @ c_Inj1))) @ (c_Repl @ (c_Inj1 @ (c_Repl @ c_Empty @ c_Inj1)) @ c_Inj1)))))))))))) )),
% 184.35/23.67 inference(boolean_simplification,[],[f579])).
% 184.35/23.67 thf(f579,plain,(
% 184.35/23.67 ( ! [X2 : ($i > (($i > $i) > $i) > $i) > $i > $o,X1 : ($i > ($i > $i > $i) > $i) > $i > $i > $o,X4 : ($i > $i > (($i > $i) > $i > $i) > $i) > $i > $i > $o] : (((!! @ $i @ (^[Y0 : $i]: (!! @ ($i > $i) @ (^[Y1 : $i > $i]: (~ (X4 @ (^[Y2 : $i]: ((^[Y3 : $i]: ((^[Y4 : ($i > $i) > $i > $i]: (c_Empty)))))) @ (Y1 @ c_Empty) @ Y0)))))) = $false) | ($true = (X1 @ (^[Y0 : $i]: ((^[Y1 : $i > $i > $i]: (c_Empty)))) @ c_Empty @ c_Empty)) | ((!! @ ($i > (($i > $i) > $i > $i) > $i) @ (^[Y0 : $i > (($i > $i) > $i > $i) > $i]: (!! @ (((($i > $i) > $i > $i) > ($i > $i) > $i > $i) > ($i > $i > $i) > $i) @ (^[Y1 : ((($i > $i) > $i > $i) > ($i > $i) > $i > $i) > ($i > $i > $i) > $i]: (!! @ $i @ (^[Y2 : $i]: ((c_In @ (c_Repl @ c_Empty @ c_Inj1) @ (c_binunion @ (c_Repl @ c_Empty @ (^[Y3 : $i]: (c_Repl @ Y3 @ c_Inj1))) @ (c_Repl @ (Y0 @ (c_Repl @ (c_binunion @ (c_Repl @ c_Empty @ (^[Y3 : $i]: (c_Repl @ Y3 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1)) @ c_Inj1) @ (^[Y3 : $i > $i]: ((^[Y4 : $i]: (c_Repl @ c_Empty @ c_Inj1))))) @ c_Inj1))) => ((X4 @ (^[Y3 : $i]: ((^[Y4 : $i]: ((^[Y5 : ($i > $i) > $i > $i]: (Y3)))))) @ Y2 @ (Y1 @ (^[Y3 : ($i > $i) > $i > $i]: ((^[Y4 : $i > $i]: ((^[Y5 : $i]: (c_Inj1 @ c_Empty)))))) @ (^[Y3 : $i]: ((^[Y4 : $i]: (c_Empty)))))) => $false)))))))) = $false) | ($false = (!! @ $i @ (^[Y0 : $i]: (!! @ (((($i > $i) > $i > $i) > $i) > $i) @ (^[Y1 : ((($i > $i) > $i > $i) > $i) > $i]: ((c_In @ (c_Inj1 @ c_Empty) @ Y0) => ((X2 @ (^[Y2 : $i]: ((^[Y3 : ($i > $i) > $i]: (c_Empty)))) @ c_Empty) => (X4 @ (^[Y2 : $i]: ((^[Y3 : $i]: ((^[Y4 : ($i > $i) > $i > $i]: (c_Inj1 @ c_Empty)))))) @ (c_Inj1 @ (c_Inj1 @ (Y1 @ (^[Y2 : ($i > $i) > $i > $i]: (c_Empty))))) @ (c_Inj1 @ (c_binunion @ (c_Repl @ (c_binunion @ (c_Repl @ (c_Repl @ c_Empty @ c_Inj1) @ (^[Y2 : $i]: (c_Repl @ Y2 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1)) @ (^[Y2 : $i]: (c_Repl @ Y2 @ c_Inj1))) @ (c_Repl @ (c_Inj1 @ (c_Repl @ c_Empty @ c_Inj1)) @ c_Inj1))))))))))) | ($false = (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: ((c_In @ (c_Repl @ Y0 @ c_Inj1) @ (c_binunion @ (c_Repl @ (c_binunion @ (c_Repl @ Y3 @ (^[Y4 : $i]: (c_Repl @ Y4 @ c_Inj1))) @ (c_Repl @ (c_binunion @ (c_Repl @ Y1 @ (^[Y4 : $i]: (c_Repl @ Y4 @ c_Inj1))) @ (c_Repl @ (c_binunion @ (c_Repl @ c_Empty @ (^[Y4 : $i]: (c_Repl @ Y4 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1)) @ c_Inj1)) @ c_Inj1)) @ (^[Y4 : $i]: (c_Repl @ Y4 @ c_Inj1))) @ (c_Repl @ (c_Inj1 @ (c_binunion @ (c_Repl @ Y1 @ (^[Y4 : $i]: (c_Repl @ Y4 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1))) @ c_Inj1))) => ((X2 @ (^[Y4 : $i]: ((^[Y5 : ($i > $i) > $i]: (Y2)))) @ c_Empty) => $false))))))))))) | ($false = (!! @ (((($i > $i) > $i > $i) > $i) > $i) @ (^[Y0 : ((($i > $i) > $i > $i) > $i) > $i]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((X1 @ (^[Y3 : $i]: ((^[Y4 : $i > $i > $i]: (c_Empty)))) @ Y2 @ (c_binunion @ (c_Repl @ (c_binunion @ (c_Repl @ (c_binunion @ (c_Repl @ (c_binunion @ (c_Repl @ c_Empty @ (^[Y3 : $i]: (c_Repl @ Y3 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1)) @ (^[Y3 : $i]: (c_Repl @ Y3 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1)) @ (^[Y3 : $i]: (c_Repl @ Y3 @ c_Inj1))) @ (c_Repl @ (c_binunion @ (c_Repl @ (c_binunion @ (c_Repl @ c_Empty @ (^[Y3 : $i]: (c_Repl @ Y3 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1)) @ (^[Y3 : $i]: (c_Repl @ Y3 @ c_Inj1))) @ (c_Repl @ (c_Repl @ c_Empty @ c_Inj1) @ c_Inj1)) @ c_Inj1)) @ (^[Y3 : $i]: (c_Repl @ Y3 @ c_Inj1))) @ (c_Repl @ (c_binunion @ (c_Repl @ c_Empty @ (^[Y3 : $i]: (c_Repl @ Y3 @ c_Inj1))) @ (c_Repl @ (c_Inj1 @ (c_binunion @ (c_Repl @ c_Empty @ (^[Y3 : $i]: (c_Repl @ Y3 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1))) @ c_Inj1)) @ c_Inj1))) => (X1 @ (^[Y3 : $i]: ((^[Y4 : $i > $i > $i]: (Y2)))) @ (c_binunion @ (c_Repl @ (Y0 @ (^[Y3 : ($i > $i) > $i > $i]: (Y2))) @ (^[Y3 : $i]: (c_Repl @ Y3 @ c_Inj1))) @ (c_Repl @ Y1 @ c_Inj1)) @ (c_Repl @ (c_Inj1 @ (c_binunion @ (c_Repl @ (c_binunion @ (c_Repl @ c_Empty @ (^[Y3 : $i]: (c_Repl @ Y3 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1)) @ (^[Y3 : $i]: (c_Repl @ Y3 @ c_Inj1))) @ (c_Repl @ (c_binunion @ (c_Repl @ c_Empty @ (^[Y3 : $i]: (c_Repl @ Y3 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1)) @ c_Inj1))) @ c_Inj1)))))))))) | ($false = (!! @ ((($i > $i > $i) > ($i > $i) > $i > $i) > $i) @ (^[Y0 : (($i > $i > $i) > ($i > $i) > $i > $i) > $i]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((c_In @ (c_Repl @ Y1 @ c_Inj1) @ (c_binunion @ (c_Repl @ (c_binunion @ (c_Repl @ c_Empty @ (^[Y3 : $i]: (c_Repl @ Y3 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1)) @ (^[Y3 : $i]: (c_Repl @ Y3 @ c_Inj1))) @ (c_Repl @ (c_binunion @ (c_Repl @ Y1 @ (^[Y3 : $i]: (c_Repl @ Y3 @ c_Inj1))) @ (c_Repl @ (c_Repl @ (c_binunion @ (c_Repl @ c_Empty @ (^[Y3 : $i]: (c_Repl @ Y3 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1)) @ c_Inj1) @ c_Inj1)) @ c_Inj1))) => ($false => (X1 @ (^[Y3 : $i]: ((^[Y4 : $i > $i > $i]: (c_Repl @ Y3 @ c_Inj1)))) @ Y2 @ (c_binunion @ (c_Repl @ (c_binunion @ (c_Repl @ (c_binunion @ (c_Repl @ c_Empty @ (^[Y3 : $i]: (c_Repl @ Y3 @ c_Inj1))) @ (c_Repl @ (c_binunion @ (c_Repl @ c_Empty @ (^[Y3 : $i]: (c_Repl @ Y3 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1)) @ c_Inj1)) @ (^[Y3 : $i]: (c_Repl @ Y3 @ c_Inj1))) @ (c_Repl @ (c_Repl @ c_Empty @ c_Inj1) @ c_Inj1)) @ (^[Y3 : $i]: (c_Repl @ Y3 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1))))))))))))) )),
% 184.35/23.67 inference(trivial_inequality_removal,[],[f578])).
% 184.35/23.67 thf(f578,plain,(
% 184.35/23.67 ( ! [X2 : ($i > (($i > $i) > $i) > $i) > $i > $o,X1 : ($i > ($i > $i > $i) > $i) > $i > $i > $o,X4 : ($i > $i > (($i > $i) > $i > $i) > $i) > $i > $i > $o] : (($false = (!! @ ((($i > $i > $i) > ($i > $i) > $i > $i) > $i) @ (^[Y0 : (($i > $i > $i) > ($i > $i) > $i > $i) > $i]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((c_In @ (c_Repl @ Y1 @ c_Inj1) @ (c_binunion @ (c_Repl @ (c_binunion @ (c_Repl @ c_Empty @ (^[Y3 : $i]: (c_Repl @ Y3 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1)) @ (^[Y3 : $i]: (c_Repl @ Y3 @ c_Inj1))) @ (c_Repl @ (c_binunion @ (c_Repl @ Y1 @ (^[Y3 : $i]: (c_Repl @ Y3 @ c_Inj1))) @ (c_Repl @ (c_Repl @ (c_binunion @ (c_Repl @ c_Empty @ (^[Y3 : $i]: (c_Repl @ Y3 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1)) @ c_Inj1) @ c_Inj1)) @ c_Inj1))) => ($false => (X1 @ (^[Y3 : $i]: ((^[Y4 : $i > $i > $i]: (c_Repl @ Y3 @ c_Inj1)))) @ Y2 @ (c_binunion @ (c_Repl @ (c_binunion @ (c_Repl @ (c_binunion @ (c_Repl @ c_Empty @ (^[Y3 : $i]: (c_Repl @ Y3 @ c_Inj1))) @ (c_Repl @ (c_binunion @ (c_Repl @ c_Empty @ (^[Y3 : $i]: (c_Repl @ Y3 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1)) @ c_Inj1)) @ (^[Y3 : $i]: (c_Repl @ Y3 @ c_Inj1))) @ (c_Repl @ (c_Repl @ c_Empty @ c_Inj1) @ c_Inj1)) @ (^[Y3 : $i]: (c_Repl @ Y3 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1)))))))))))) | ((!! @ ($i > (($i > $i) > $i > $i) > $i) @ (^[Y0 : $i > (($i > $i) > $i > $i) > $i]: (!! @ (((($i > $i) > $i > $i) > ($i > $i) > $i > $i) > ($i > $i > $i) > $i) @ (^[Y1 : ((($i > $i) > $i > $i) > ($i > $i) > $i > $i) > ($i > $i > $i) > $i]: (!! @ $i @ (^[Y2 : $i]: ((c_In @ (c_Repl @ c_Empty @ c_Inj1) @ (c_binunion @ (c_Repl @ c_Empty @ (^[Y3 : $i]: (c_Repl @ Y3 @ c_Inj1))) @ (c_Repl @ (Y0 @ (c_Repl @ (c_binunion @ (c_Repl @ c_Empty @ (^[Y3 : $i]: (c_Repl @ Y3 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1)) @ c_Inj1) @ (^[Y3 : $i > $i]: ((^[Y4 : $i]: (c_Repl @ c_Empty @ c_Inj1))))) @ c_Inj1))) => ((X4 @ (^[Y3 : $i]: ((^[Y4 : $i]: ((^[Y5 : ($i > $i) > $i > $i]: (Y3)))))) @ Y2 @ (Y1 @ (^[Y3 : ($i > $i) > $i > $i]: ((^[Y4 : $i > $i]: ((^[Y5 : $i]: (c_Inj1 @ c_Empty)))))) @ (^[Y3 : $i]: ((^[Y4 : $i]: (c_Empty)))))) => $false)))))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: (!! @ ($i > $i) @ (^[Y1 : $i > $i]: (~ (X4 @ (^[Y2 : $i]: ((^[Y3 : $i]: ((^[Y4 : ($i > $i) > $i > $i]: (c_Empty)))))) @ (Y1 @ c_Empty) @ Y0)))))) = $false) | ($false = (!! @ $i @ (^[Y0 : $i]: (!! @ (((($i > $i) > $i > $i) > $i) > $i) @ (^[Y1 : ((($i > $i) > $i > $i) > $i) > $i]: ((c_In @ (c_Inj1 @ c_Empty) @ Y0) => ((X2 @ (^[Y2 : $i]: ((^[Y3 : ($i > $i) > $i]: (c_Empty)))) @ c_Empty) => (X4 @ (^[Y2 : $i]: ((^[Y3 : $i]: ((^[Y4 : ($i > $i) > $i > $i]: (c_Inj1 @ c_Empty)))))) @ (c_Inj1 @ (c_Inj1 @ (Y1 @ (^[Y2 : ($i > $i) > $i > $i]: (c_Empty))))) @ (c_Inj1 @ (c_binunion @ (c_Repl @ (c_binunion @ (c_Repl @ (c_Repl @ c_Empty @ c_Inj1) @ (^[Y2 : $i]: (c_Repl @ Y2 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1)) @ (^[Y2 : $i]: (c_Repl @ Y2 @ c_Inj1))) @ (c_Repl @ (c_Inj1 @ (c_Repl @ c_Empty @ c_Inj1)) @ c_Inj1))))))))))) | ($false = (!! @ (((($i > $i) > $i > $i) > $i) > $i) @ (^[Y0 : ((($i > $i) > $i > $i) > $i) > $i]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((X1 @ (^[Y3 : $i]: ((^[Y4 : $i > $i > $i]: (c_Empty)))) @ Y2 @ (c_binunion @ (c_Repl @ (c_binunion @ (c_Repl @ (c_binunion @ (c_Repl @ (c_binunion @ (c_Repl @ c_Empty @ (^[Y3 : $i]: (c_Repl @ Y3 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1)) @ (^[Y3 : $i]: (c_Repl @ Y3 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1)) @ (^[Y3 : $i]: (c_Repl @ Y3 @ c_Inj1))) @ (c_Repl @ (c_binunion @ (c_Repl @ (c_binunion @ (c_Repl @ c_Empty @ (^[Y3 : $i]: (c_Repl @ Y3 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1)) @ (^[Y3 : $i]: (c_Repl @ Y3 @ c_Inj1))) @ (c_Repl @ (c_Repl @ c_Empty @ c_Inj1) @ c_Inj1)) @ c_Inj1)) @ (^[Y3 : $i]: (c_Repl @ Y3 @ c_Inj1))) @ (c_Repl @ (c_binunion @ (c_Repl @ c_Empty @ (^[Y3 : $i]: (c_Repl @ Y3 @ c_Inj1))) @ (c_Repl @ (c_Inj1 @ (c_binunion @ (c_Repl @ c_Empty @ (^[Y3 : $i]: (c_Repl @ Y3 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1))) @ c_Inj1)) @ c_Inj1))) => (X1 @ (^[Y3 : $i]: ((^[Y4 : $i > $i > $i]: (Y2)))) @ (c_binunion @ (c_Repl @ (Y0 @ (^[Y3 : ($i > $i) > $i > $i]: (Y2))) @ (^[Y3 : $i]: (c_Repl @ Y3 @ c_Inj1))) @ (c_Repl @ Y1 @ c_Inj1)) @ (c_Repl @ (c_Inj1 @ (c_binunion @ (c_Repl @ (c_binunion @ (c_Repl @ c_Empty @ (^[Y3 : $i]: (c_Repl @ Y3 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1)) @ (^[Y3 : $i]: (c_Repl @ Y3 @ c_Inj1))) @ (c_Repl @ (c_binunion @ (c_Repl @ c_Empty @ (^[Y3 : $i]: (c_Repl @ Y3 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1)) @ c_Inj1))) @ c_Inj1)))))))))) | ($false = (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: ((c_In @ (c_Repl @ Y0 @ c_Inj1) @ (c_binunion @ (c_Repl @ (c_binunion @ (c_Repl @ Y3 @ (^[Y4 : $i]: (c_Repl @ Y4 @ c_Inj1))) @ (c_Repl @ (c_binunion @ (c_Repl @ Y1 @ (^[Y4 : $i]: (c_Repl @ Y4 @ c_Inj1))) @ (c_Repl @ (c_binunion @ (c_Repl @ c_Empty @ (^[Y4 : $i]: (c_Repl @ Y4 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1)) @ c_Inj1)) @ c_Inj1)) @ (^[Y4 : $i]: (c_Repl @ Y4 @ c_Inj1))) @ (c_Repl @ (c_Inj1 @ (c_binunion @ (c_Repl @ Y1 @ (^[Y4 : $i]: (c_Repl @ Y4 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1))) @ c_Inj1))) => ((X2 @ (^[Y4 : $i]: ((^[Y5 : ($i > $i) > $i]: (Y2)))) @ c_Empty) => $false))))))))))) | ($true = (X1 @ (^[Y0 : $i]: ((^[Y1 : $i > $i > $i]: (c_Empty)))) @ c_Empty @ c_Empty)) | ($true = $false)) )),
% 184.35/23.67 inference(beta_eta_normalization,[],[f576])).
% 184.35/23.67 thf(f576,plain,(
% 184.35/23.67 ( ! [X2 : ($i > (($i > $i) > $i) > $i) > $i > $o,X1 : ($i > ($i > $i > $i) > $i) > $i > $i > $o,X4 : ($i > $i > (($i > $i) > $i > $i) > $i) > $i > $i > $o] : (($true = ((^[Y0 : $i > $i]: ((^[Y1 : ((($i > $i) > $i) > $i) > ($i > $i > $i) > $i > $i > $i]: ((^[Y2 : $i]: ($false)))))) @ (^[Y0 : $i]: (c_Empty)) @ (^[Y0 : (($i > $i) > $i) > $i]: ((^[Y1 : $i > $i > $i]: ((^[Y2 : $i]: ((^[Y3 : $i]: (c_Empty)))))))) @ (c_binunion @ (c_Repl @ (c_binunion @ (c_Repl @ c_Empty @ (^[Y0 : $i]: (c_Repl @ Y0 @ c_Inj1))) @ (c_Repl @ (c_binunion @ (c_Repl @ (c_binunion @ (c_Repl @ c_Empty @ (^[Y0 : $i]: (c_Repl @ Y0 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1)) @ (^[Y0 : $i]: (c_Repl @ Y0 @ c_Inj1))) @ (c_Repl @ (c_Repl @ c_Empty @ c_Inj1) @ c_Inj1)) @ c_Inj1)) @ (^[Y0 : $i]: (c_Repl @ Y0 @ c_Inj1))) @ (c_Repl @ (c_Inj1 @ (sK4 @ (^[Y0 : $i > $i]: ((^[Y1 : ((($i > $i) > $i) > $i) > ($i > $i > $i) > $i > $i > $i]: ((^[Y2 : $i]: ($false)))))) @ X2)) @ c_Inj1)))) | ((!! @ ($i > (($i > $i) > $i > $i) > $i) @ (^[Y0 : $i > (($i > $i) > $i > $i) > $i]: (!! @ (((($i > $i) > $i > $i) > ($i > $i) > $i > $i) > ($i > $i > $i) > $i) @ (^[Y1 : ((($i > $i) > $i > $i) > ($i > $i) > $i > $i) > ($i > $i > $i) > $i]: (!! @ $i @ (^[Y2 : $i]: ((c_In @ (c_Repl @ c_Empty @ c_Inj1) @ (c_binunion @ (c_Repl @ c_Empty @ (^[Y3 : $i]: (c_Repl @ Y3 @ c_Inj1))) @ (c_Repl @ (Y0 @ (c_Repl @ (c_binunion @ (c_Repl @ c_Empty @ (^[Y3 : $i]: (c_Repl @ Y3 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1)) @ c_Inj1) @ (^[Y3 : $i > $i]: ((^[Y4 : $i]: (c_Repl @ c_Empty @ c_Inj1))))) @ c_Inj1))) => ((X4 @ (^[Y3 : $i]: ((^[Y4 : $i]: ((^[Y5 : ($i > $i) > $i > $i]: (Y3)))))) @ Y2 @ (Y1 @ (^[Y3 : ($i > $i) > $i > $i]: ((^[Y4 : $i > $i]: ((^[Y5 : $i]: (c_Inj1 @ c_Empty)))))) @ (^[Y3 : $i]: ((^[Y4 : $i]: (c_Empty)))))) => ((^[Y3 : $i > $i]: ((^[Y4 : ((($i > $i) > $i) > $i) > ($i > $i > $i) > $i > $i > $i]: ((^[Y5 : $i]: ($false)))))) @ (^[Y3 : $i]: (Y3)) @ (^[Y3 : (($i > $i) > $i) > $i]: ((^[Y4 : $i > $i > $i]: ((^[Y5 : $i]: ((^[Y6 : $i]: (Y5)))))))) @ (c_binunion @ (c_Repl @ (c_Repl @ c_Empty @ c_Inj1) @ (^[Y3 : $i]: (c_Repl @ Y3 @ c_Inj1))) @ (c_Repl @ (Y1 @ (^[Y3 : ($i > $i) > $i > $i]: ((^[Y4 : $i > $i]: ((^[Y5 : $i]: (c_Repl @ c_Empty @ c_Inj1)))))) @ (^[Y3 : $i]: ((^[Y4 : $i]: (Y4))))) @ c_Inj1))))))))))) = $false) | ($false = (!! @ $i @ (^[Y0 : $i]: (!! @ (((($i > $i) > $i > $i) > $i) > $i) @ (^[Y1 : ((($i > $i) > $i > $i) > $i) > $i]: ((c_In @ (c_Inj1 @ c_Empty) @ Y0) => ((X2 @ (^[Y2 : $i]: ((^[Y3 : ($i > $i) > $i]: (c_Empty)))) @ c_Empty) => (X4 @ (^[Y2 : $i]: ((^[Y3 : $i]: ((^[Y4 : ($i > $i) > $i > $i]: (c_Inj1 @ c_Empty)))))) @ (c_Inj1 @ (c_Inj1 @ (Y1 @ (^[Y2 : ($i > $i) > $i > $i]: (c_Empty))))) @ (c_Inj1 @ (c_binunion @ (c_Repl @ (c_binunion @ (c_Repl @ (c_Repl @ c_Empty @ c_Inj1) @ (^[Y2 : $i]: (c_Repl @ Y2 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1)) @ (^[Y2 : $i]: (c_Repl @ Y2 @ c_Inj1))) @ (c_Repl @ (c_Inj1 @ (c_Repl @ c_Empty @ c_Inj1)) @ c_Inj1))))))))))) | ($false = (!! @ (((($i > $i) > $i > $i) > $i) > $i) @ (^[Y0 : ((($i > $i) > $i > $i) > $i) > $i]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((X1 @ (^[Y3 : $i]: ((^[Y4 : $i > $i > $i]: (c_Empty)))) @ Y2 @ (c_binunion @ (c_Repl @ (c_binunion @ (c_Repl @ (c_binunion @ (c_Repl @ (c_binunion @ (c_Repl @ c_Empty @ (^[Y3 : $i]: (c_Repl @ Y3 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1)) @ (^[Y3 : $i]: (c_Repl @ Y3 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1)) @ (^[Y3 : $i]: (c_Repl @ Y3 @ c_Inj1))) @ (c_Repl @ (c_binunion @ (c_Repl @ (c_binunion @ (c_Repl @ c_Empty @ (^[Y3 : $i]: (c_Repl @ Y3 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1)) @ (^[Y3 : $i]: (c_Repl @ Y3 @ c_Inj1))) @ (c_Repl @ (c_Repl @ c_Empty @ c_Inj1) @ c_Inj1)) @ c_Inj1)) @ (^[Y3 : $i]: (c_Repl @ Y3 @ c_Inj1))) @ (c_Repl @ (c_binunion @ (c_Repl @ c_Empty @ (^[Y3 : $i]: (c_Repl @ Y3 @ c_Inj1))) @ (c_Repl @ (c_Inj1 @ (c_binunion @ (c_Repl @ c_Empty @ (^[Y3 : $i]: (c_Repl @ Y3 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1))) @ c_Inj1)) @ c_Inj1))) => (X1 @ (^[Y3 : $i]: ((^[Y4 : $i > $i > $i]: (Y2)))) @ (c_binunion @ (c_Repl @ (Y0 @ (^[Y3 : ($i > $i) > $i > $i]: (Y2))) @ (^[Y3 : $i]: (c_Repl @ Y3 @ c_Inj1))) @ (c_Repl @ Y1 @ c_Inj1)) @ (c_Repl @ (c_Inj1 @ (c_binunion @ (c_Repl @ (c_binunion @ (c_Repl @ c_Empty @ (^[Y3 : $i]: (c_Repl @ Y3 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1)) @ (^[Y3 : $i]: (c_Repl @ Y3 @ c_Inj1))) @ (c_Repl @ (c_binunion @ (c_Repl @ c_Empty @ (^[Y3 : $i]: (c_Repl @ Y3 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1)) @ c_Inj1))) @ c_Inj1)))))))))) | ($true = (X1 @ (^[Y0 : $i]: ((^[Y1 : $i > $i > $i]: (c_Empty)))) @ c_Empty @ c_Empty)) | ($false = (!! @ ((($i > $i > $i) > ($i > $i) > $i > $i) > $i) @ (^[Y0 : (($i > $i > $i) > ($i > $i) > $i > $i) > $i]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((c_In @ (c_Repl @ Y1 @ c_Inj1) @ (c_binunion @ (c_Repl @ (c_binunion @ (c_Repl @ c_Empty @ (^[Y3 : $i]: (c_Repl @ Y3 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1)) @ (^[Y3 : $i]: (c_Repl @ Y3 @ c_Inj1))) @ (c_Repl @ (c_binunion @ (c_Repl @ Y1 @ (^[Y3 : $i]: (c_Repl @ Y3 @ c_Inj1))) @ (c_Repl @ (c_Repl @ (c_binunion @ (c_Repl @ c_Empty @ (^[Y3 : $i]: (c_Repl @ Y3 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1)) @ c_Inj1) @ c_Inj1)) @ c_Inj1))) => (((^[Y3 : $i > $i]: ((^[Y4 : ((($i > $i) > $i) > $i) > ($i > $i > $i) > $i > $i > $i]: ((^[Y5 : $i]: ($false)))))) @ (^[Y3 : $i]: (c_Repl @ (c_Repl @ c_Empty @ c_Inj1) @ c_Inj1)) @ (^[Y3 : (($i > $i) > $i) > $i]: ((^[Y4 : $i > $i > $i]: ((^[Y5 : $i]: ((^[Y6 : $i]: (Y5)))))))) @ (c_binunion @ (c_Repl @ (Y0 @ (^[Y3 : $i > $i > $i]: ((^[Y4 : $i > $i]: ((^[Y5 : $i]: (c_Repl @ (c_binunion @ (c_Repl @ c_Empty @ (^[Y6 : $i]: (c_Repl @ Y6 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1)) @ c_Inj1))))))) @ (^[Y3 : $i]: (c_Repl @ Y3 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1))) => (X1 @ (^[Y3 : $i]: ((^[Y4 : $i > $i > $i]: (c_Repl @ Y3 @ c_Inj1)))) @ Y2 @ (c_binunion @ (c_Repl @ (c_binunion @ (c_Repl @ (c_binunion @ (c_Repl @ c_Empty @ (^[Y3 : $i]: (c_Repl @ Y3 @ c_Inj1))) @ (c_Repl @ (c_binunion @ (c_Repl @ c_Empty @ (^[Y3 : $i]: (c_Repl @ Y3 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1)) @ c_Inj1)) @ (^[Y3 : $i]: (c_Repl @ Y3 @ c_Inj1))) @ (c_Repl @ (c_Repl @ c_Empty @ c_Inj1) @ c_Inj1)) @ (^[Y3 : $i]: (c_Repl @ Y3 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1)))))))))))) | ($false = (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: ((c_In @ (c_Repl @ Y0 @ c_Inj1) @ (c_binunion @ (c_Repl @ (c_binunion @ (c_Repl @ Y3 @ (^[Y4 : $i]: (c_Repl @ Y4 @ c_Inj1))) @ (c_Repl @ (c_binunion @ (c_Repl @ Y1 @ (^[Y4 : $i]: (c_Repl @ Y4 @ c_Inj1))) @ (c_Repl @ (c_binunion @ (c_Repl @ c_Empty @ (^[Y4 : $i]: (c_Repl @ Y4 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1)) @ c_Inj1)) @ c_Inj1)) @ (^[Y4 : $i]: (c_Repl @ Y4 @ c_Inj1))) @ (c_Repl @ (c_Inj1 @ (c_binunion @ (c_Repl @ Y1 @ (^[Y4 : $i]: (c_Repl @ Y4 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1))) @ c_Inj1))) => ((X2 @ (^[Y4 : $i]: ((^[Y5 : ($i > $i) > $i]: (Y2)))) @ c_Empty) => ((^[Y4 : $i > $i]: ((^[Y5 : ((($i > $i) > $i) > $i) > ($i > $i > $i) > $i > $i > $i]: ((^[Y6 : $i]: ($false)))))) @ (^[Y4 : $i]: (c_Empty)) @ (^[Y4 : (($i > $i) > $i) > $i]: ((^[Y5 : $i > $i > $i]: ((^[Y6 : $i]: ((^[Y7 : $i]: (c_binunion @ (c_Repl @ c_Empty @ (^[Y8 : $i]: (c_Repl @ Y8 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1))))))))) @ Y1)))))))))))) | ((!! @ $i @ (^[Y0 : $i]: (!! @ ($i > $i) @ (^[Y1 : $i > $i]: (~ (X4 @ (^[Y2 : $i]: ((^[Y3 : $i]: ((^[Y4 : ($i > $i) > $i > $i]: (c_Empty)))))) @ (Y1 @ c_Empty) @ Y0)))))) = $false)) )),
% 184.35/23.67 inference(primitive_instantiation,[],[f347])).
% 184.35/23.67 thf(f347,plain,(
% 184.35/23.67 ( ! [X2 : ($i > (($i > $i) > $i) > $i) > $i > $o,X3 : ($i > $i) > (((($i > $i) > $i) > $i) > ($i > $i > $i) > $i > $i > $i) > $i > $o,X1 : ($i > ($i > $i > $i) > $i) > $i > $i > $o,X4 : ($i > $i > (($i > $i) > $i > $i) > $i) > $i > $i > $o] : (($false = (!! @ ((($i > $i > $i) > ($i > $i) > $i > $i) > $i) @ (^[Y0 : (($i > $i > $i) > ($i > $i) > $i > $i) > $i]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((c_In @ (c_Repl @ Y1 @ c_Inj1) @ (c_binunion @ (c_Repl @ (c_binunion @ (c_Repl @ c_Empty @ (^[Y3 : $i]: (c_Repl @ Y3 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1)) @ (^[Y3 : $i]: (c_Repl @ Y3 @ c_Inj1))) @ (c_Repl @ (c_binunion @ (c_Repl @ Y1 @ (^[Y3 : $i]: (c_Repl @ Y3 @ c_Inj1))) @ (c_Repl @ (c_Repl @ (c_binunion @ (c_Repl @ c_Empty @ (^[Y3 : $i]: (c_Repl @ Y3 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1)) @ c_Inj1) @ c_Inj1)) @ c_Inj1))) => ((X3 @ (^[Y3 : $i]: (c_Repl @ (c_Repl @ c_Empty @ c_Inj1) @ c_Inj1)) @ (^[Y3 : (($i > $i) > $i) > $i]: ((^[Y4 : $i > $i > $i]: ((^[Y5 : $i]: ((^[Y6 : $i]: (Y5)))))))) @ (c_binunion @ (c_Repl @ (Y0 @ (^[Y3 : $i > $i > $i]: ((^[Y4 : $i > $i]: ((^[Y5 : $i]: (c_Repl @ (c_binunion @ (c_Repl @ c_Empty @ (^[Y6 : $i]: (c_Repl @ Y6 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1)) @ c_Inj1))))))) @ (^[Y3 : $i]: (c_Repl @ Y3 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1))) => (X1 @ (^[Y3 : $i]: ((^[Y4 : $i > $i > $i]: (c_Repl @ Y3 @ c_Inj1)))) @ Y2 @ (c_binunion @ (c_Repl @ (c_binunion @ (c_Repl @ (c_binunion @ (c_Repl @ c_Empty @ (^[Y3 : $i]: (c_Repl @ Y3 @ c_Inj1))) @ (c_Repl @ (c_binunion @ (c_Repl @ c_Empty @ (^[Y3 : $i]: (c_Repl @ Y3 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1)) @ c_Inj1)) @ (^[Y3 : $i]: (c_Repl @ Y3 @ c_Inj1))) @ (c_Repl @ (c_Repl @ c_Empty @ c_Inj1) @ c_Inj1)) @ (^[Y3 : $i]: (c_Repl @ Y3 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1)))))))))))) | ($false = (!! @ (((($i > $i) > $i > $i) > $i) > $i) @ (^[Y0 : ((($i > $i) > $i > $i) > $i) > $i]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((X1 @ (^[Y3 : $i]: ((^[Y4 : $i > $i > $i]: (c_Empty)))) @ Y2 @ (c_binunion @ (c_Repl @ (c_binunion @ (c_Repl @ (c_binunion @ (c_Repl @ (c_binunion @ (c_Repl @ c_Empty @ (^[Y3 : $i]: (c_Repl @ Y3 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1)) @ (^[Y3 : $i]: (c_Repl @ Y3 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1)) @ (^[Y3 : $i]: (c_Repl @ Y3 @ c_Inj1))) @ (c_Repl @ (c_binunion @ (c_Repl @ (c_binunion @ (c_Repl @ c_Empty @ (^[Y3 : $i]: (c_Repl @ Y3 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1)) @ (^[Y3 : $i]: (c_Repl @ Y3 @ c_Inj1))) @ (c_Repl @ (c_Repl @ c_Empty @ c_Inj1) @ c_Inj1)) @ c_Inj1)) @ (^[Y3 : $i]: (c_Repl @ Y3 @ c_Inj1))) @ (c_Repl @ (c_binunion @ (c_Repl @ c_Empty @ (^[Y3 : $i]: (c_Repl @ Y3 @ c_Inj1))) @ (c_Repl @ (c_Inj1 @ (c_binunion @ (c_Repl @ c_Empty @ (^[Y3 : $i]: (c_Repl @ Y3 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1))) @ c_Inj1)) @ c_Inj1))) => (X1 @ (^[Y3 : $i]: ((^[Y4 : $i > $i > $i]: (Y2)))) @ (c_binunion @ (c_Repl @ (Y0 @ (^[Y3 : ($i > $i) > $i > $i]: (Y2))) @ (^[Y3 : $i]: (c_Repl @ Y3 @ c_Inj1))) @ (c_Repl @ Y1 @ c_Inj1)) @ (c_Repl @ (c_Inj1 @ (c_binunion @ (c_Repl @ (c_binunion @ (c_Repl @ c_Empty @ (^[Y3 : $i]: (c_Repl @ Y3 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1)) @ (^[Y3 : $i]: (c_Repl @ Y3 @ c_Inj1))) @ (c_Repl @ (c_binunion @ (c_Repl @ c_Empty @ (^[Y3 : $i]: (c_Repl @ Y3 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1)) @ c_Inj1))) @ c_Inj1)))))))))) | ($false = (!! @ ($i > (($i > $i) > $i > $i) > $i) @ (^[Y0 : $i > (($i > $i) > $i > $i) > $i]: (!! @ (((($i > $i) > $i > $i) > ($i > $i) > $i > $i) > ($i > $i > $i) > $i) @ (^[Y1 : ((($i > $i) > $i > $i) > ($i > $i) > $i > $i) > ($i > $i > $i) > $i]: (!! @ $i @ (^[Y2 : $i]: ((c_In @ (c_Repl @ c_Empty @ c_Inj1) @ (c_binunion @ (c_Repl @ c_Empty @ (^[Y3 : $i]: (c_Repl @ Y3 @ c_Inj1))) @ (c_Repl @ (Y0 @ (c_Repl @ (c_binunion @ (c_Repl @ c_Empty @ (^[Y3 : $i]: (c_Repl @ Y3 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1)) @ c_Inj1) @ (^[Y3 : $i > $i]: ((^[Y4 : $i]: (c_Repl @ c_Empty @ c_Inj1))))) @ c_Inj1))) => ((X4 @ (^[Y3 : $i]: ((^[Y4 : $i]: ((^[Y5 : ($i > $i) > $i > $i]: (Y3)))))) @ Y2 @ (Y1 @ (^[Y3 : ($i > $i) > $i > $i]: ((^[Y4 : $i > $i]: ((^[Y5 : $i]: (c_Inj1 @ c_Empty)))))) @ (^[Y3 : $i]: ((^[Y4 : $i]: (c_Empty)))))) => (X3 @ (^[Y3 : $i]: (Y3)) @ (^[Y3 : (($i > $i) > $i) > $i]: ((^[Y4 : $i > $i > $i]: ((^[Y5 : $i]: ((^[Y6 : $i]: (Y5)))))))) @ (c_binunion @ (c_Repl @ (c_Repl @ c_Empty @ c_Inj1) @ (^[Y3 : $i]: (c_Repl @ Y3 @ c_Inj1))) @ (c_Repl @ (Y1 @ (^[Y3 : ($i > $i) > $i > $i]: ((^[Y4 : $i > $i]: ((^[Y5 : $i]: (c_Repl @ c_Empty @ c_Inj1)))))) @ (^[Y3 : $i]: ((^[Y4 : $i]: (Y4))))) @ c_Inj1)))))))))))) | ($false = (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: ((c_In @ (c_Repl @ Y0 @ c_Inj1) @ (c_binunion @ (c_Repl @ (c_binunion @ (c_Repl @ Y3 @ (^[Y4 : $i]: (c_Repl @ Y4 @ c_Inj1))) @ (c_Repl @ (c_binunion @ (c_Repl @ Y1 @ (^[Y4 : $i]: (c_Repl @ Y4 @ c_Inj1))) @ (c_Repl @ (c_binunion @ (c_Repl @ c_Empty @ (^[Y4 : $i]: (c_Repl @ Y4 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1)) @ c_Inj1)) @ c_Inj1)) @ (^[Y4 : $i]: (c_Repl @ Y4 @ c_Inj1))) @ (c_Repl @ (c_Inj1 @ (c_binunion @ (c_Repl @ Y1 @ (^[Y4 : $i]: (c_Repl @ Y4 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1))) @ c_Inj1))) => ((X2 @ (^[Y4 : $i]: ((^[Y5 : ($i > $i) > $i]: (Y2)))) @ c_Empty) => (X3 @ (^[Y4 : $i]: (c_Empty)) @ (^[Y4 : (($i > $i) > $i) > $i]: ((^[Y5 : $i > $i > $i]: ((^[Y6 : $i]: ((^[Y7 : $i]: (c_binunion @ (c_Repl @ c_Empty @ (^[Y8 : $i]: (c_Repl @ Y8 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1))))))))) @ Y1)))))))))))) | ($true = (X3 @ (^[Y0 : $i]: (c_Empty)) @ (^[Y0 : (($i > $i) > $i) > $i]: ((^[Y1 : $i > $i > $i]: ((^[Y2 : $i]: ((^[Y3 : $i]: (c_Empty)))))))) @ (c_binunion @ (c_Repl @ (c_binunion @ (c_Repl @ c_Empty @ (^[Y0 : $i]: (c_Repl @ Y0 @ c_Inj1))) @ (c_Repl @ (c_binunion @ (c_Repl @ (c_binunion @ (c_Repl @ c_Empty @ (^[Y0 : $i]: (c_Repl @ Y0 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1)) @ (^[Y0 : $i]: (c_Repl @ Y0 @ c_Inj1))) @ (c_Repl @ (c_Repl @ c_Empty @ c_Inj1) @ c_Inj1)) @ c_Inj1)) @ (^[Y0 : $i]: (c_Repl @ Y0 @ c_Inj1))) @ (c_Repl @ (c_Inj1 @ (sK4 @ X3 @ X2)) @ c_Inj1)))) | ($false = (!! @ $i @ (^[Y0 : $i]: (!! @ (((($i > $i) > $i > $i) > $i) > $i) @ (^[Y1 : ((($i > $i) > $i > $i) > $i) > $i]: ((c_In @ (c_Inj1 @ c_Empty) @ Y0) => ((X2 @ (^[Y2 : $i]: ((^[Y3 : ($i > $i) > $i]: (c_Empty)))) @ c_Empty) => (X4 @ (^[Y2 : $i]: ((^[Y3 : $i]: ((^[Y4 : ($i > $i) > $i > $i]: (c_Inj1 @ c_Empty)))))) @ (c_Inj1 @ (c_Inj1 @ (Y1 @ (^[Y2 : ($i > $i) > $i > $i]: (c_Empty))))) @ (c_Inj1 @ (c_binunion @ (c_Repl @ (c_binunion @ (c_Repl @ (c_Repl @ c_Empty @ c_Inj1) @ (^[Y2 : $i]: (c_Repl @ Y2 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1)) @ (^[Y2 : $i]: (c_Repl @ Y2 @ c_Inj1))) @ (c_Repl @ (c_Inj1 @ (c_Repl @ c_Empty @ c_Inj1)) @ c_Inj1))))))))))) | ($true = (X1 @ (^[Y0 : $i]: ((^[Y1 : $i > $i > $i]: (c_Empty)))) @ c_Empty @ c_Empty)) | ((!! @ $i @ (^[Y0 : $i]: (!! @ ($i > $i) @ (^[Y1 : $i > $i]: (~ (X4 @ (^[Y2 : $i]: ((^[Y3 : $i]: ((^[Y4 : ($i > $i) > $i > $i]: (c_Empty)))))) @ (Y1 @ c_Empty) @ Y0)))))) = $false)) )),
% 184.35/23.67 inference(binary_proxy_clausification,[],[f344])).
% 184.35/23.67 thf(f344,plain,(
% 184.35/23.67 ( ! [X2 : ($i > (($i > $i) > $i) > $i) > $i > $o,X3 : ($i > $i) > (((($i > $i) > $i) > $i) > ($i > $i > $i) > $i > $i > $i) > $i > $o,X1 : ($i > ($i > $i > $i) > $i) > $i > $i > $o,X4 : ($i > $i > (($i > $i) > $i > $i) > $i) > $i > $i > $o] : (($false = (!! @ (((($i > $i) > $i > $i) > $i) > $i) @ (^[Y0 : ((($i > $i) > $i > $i) > $i) > $i]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((X1 @ (^[Y3 : $i]: ((^[Y4 : $i > $i > $i]: (c_Empty)))) @ Y2 @ (c_binunion @ (c_Repl @ (c_binunion @ (c_Repl @ (c_binunion @ (c_Repl @ (c_binunion @ (c_Repl @ c_Empty @ (^[Y3 : $i]: (c_Repl @ Y3 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1)) @ (^[Y3 : $i]: (c_Repl @ Y3 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1)) @ (^[Y3 : $i]: (c_Repl @ Y3 @ c_Inj1))) @ (c_Repl @ (c_binunion @ (c_Repl @ (c_binunion @ (c_Repl @ c_Empty @ (^[Y3 : $i]: (c_Repl @ Y3 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1)) @ (^[Y3 : $i]: (c_Repl @ Y3 @ c_Inj1))) @ (c_Repl @ (c_Repl @ c_Empty @ c_Inj1) @ c_Inj1)) @ c_Inj1)) @ (^[Y3 : $i]: (c_Repl @ Y3 @ c_Inj1))) @ (c_Repl @ (c_binunion @ (c_Repl @ c_Empty @ (^[Y3 : $i]: (c_Repl @ Y3 @ c_Inj1))) @ (c_Repl @ (c_Inj1 @ (c_binunion @ (c_Repl @ c_Empty @ (^[Y3 : $i]: (c_Repl @ Y3 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1))) @ c_Inj1)) @ c_Inj1))) => (X1 @ (^[Y3 : $i]: ((^[Y4 : $i > $i > $i]: (Y2)))) @ (c_binunion @ (c_Repl @ (Y0 @ (^[Y3 : ($i > $i) > $i > $i]: (Y2))) @ (^[Y3 : $i]: (c_Repl @ Y3 @ c_Inj1))) @ (c_Repl @ Y1 @ c_Inj1)) @ (c_Repl @ (c_Inj1 @ (c_binunion @ (c_Repl @ (c_binunion @ (c_Repl @ c_Empty @ (^[Y3 : $i]: (c_Repl @ Y3 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1)) @ (^[Y3 : $i]: (c_Repl @ Y3 @ c_Inj1))) @ (c_Repl @ (c_binunion @ (c_Repl @ c_Empty @ (^[Y3 : $i]: (c_Repl @ Y3 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1)) @ c_Inj1))) @ c_Inj1)))))))))) | ((!! @ $i @ (^[Y0 : $i]: (!! @ ($i > $i) @ (^[Y1 : $i > $i]: (~ (X4 @ (^[Y2 : $i]: ((^[Y3 : $i]: ((^[Y4 : ($i > $i) > $i > $i]: (c_Empty)))))) @ (Y1 @ c_Empty) @ Y0)))))) = $false) | ($false = (!! @ ($i > (($i > $i) > $i > $i) > $i) @ (^[Y0 : $i > (($i > $i) > $i > $i) > $i]: (!! @ (((($i > $i) > $i > $i) > ($i > $i) > $i > $i) > ($i > $i > $i) > $i) @ (^[Y1 : ((($i > $i) > $i > $i) > ($i > $i) > $i > $i) > ($i > $i > $i) > $i]: (!! @ $i @ (^[Y2 : $i]: ((c_In @ (c_Repl @ c_Empty @ c_Inj1) @ (c_binunion @ (c_Repl @ c_Empty @ (^[Y3 : $i]: (c_Repl @ Y3 @ c_Inj1))) @ (c_Repl @ (Y0 @ (c_Repl @ (c_binunion @ (c_Repl @ c_Empty @ (^[Y3 : $i]: (c_Repl @ Y3 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1)) @ c_Inj1) @ (^[Y3 : $i > $i]: ((^[Y4 : $i]: (c_Repl @ c_Empty @ c_Inj1))))) @ c_Inj1))) => ((X4 @ (^[Y3 : $i]: ((^[Y4 : $i]: ((^[Y5 : ($i > $i) > $i > $i]: (Y3)))))) @ Y2 @ (Y1 @ (^[Y3 : ($i > $i) > $i > $i]: ((^[Y4 : $i > $i]: ((^[Y5 : $i]: (c_Inj1 @ c_Empty)))))) @ (^[Y3 : $i]: ((^[Y4 : $i]: (c_Empty)))))) => (X3 @ (^[Y3 : $i]: (Y3)) @ (^[Y3 : (($i > $i) > $i) > $i]: ((^[Y4 : $i > $i > $i]: ((^[Y5 : $i]: ((^[Y6 : $i]: (Y5)))))))) @ (c_binunion @ (c_Repl @ (c_Repl @ c_Empty @ c_Inj1) @ (^[Y3 : $i]: (c_Repl @ Y3 @ c_Inj1))) @ (c_Repl @ (Y1 @ (^[Y3 : ($i > $i) > $i > $i]: ((^[Y4 : $i > $i]: ((^[Y5 : $i]: (c_Repl @ c_Empty @ c_Inj1)))))) @ (^[Y3 : $i]: ((^[Y4 : $i]: (Y4))))) @ c_Inj1)))))))))))) | ($false = ((X3 @ (^[Y0 : $i]: (c_Empty)) @ (^[Y0 : (($i > $i) > $i) > $i]: ((^[Y1 : $i > $i > $i]: ((^[Y2 : $i]: ((^[Y3 : $i]: (c_Empty)))))))) @ (c_binunion @ (c_Repl @ (c_binunion @ (c_Repl @ c_Empty @ (^[Y0 : $i]: (c_Repl @ Y0 @ c_Inj1))) @ (c_Repl @ (c_binunion @ (c_Repl @ (c_binunion @ (c_Repl @ c_Empty @ (^[Y0 : $i]: (c_Repl @ Y0 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1)) @ (^[Y0 : $i]: (c_Repl @ Y0 @ c_Inj1))) @ (c_Repl @ (c_Repl @ c_Empty @ c_Inj1) @ c_Inj1)) @ c_Inj1)) @ (^[Y0 : $i]: (c_Repl @ Y0 @ c_Inj1))) @ (c_Repl @ (c_Inj1 @ (sK4 @ X3 @ X2)) @ c_Inj1))) => (X2 @ (^[Y0 : $i]: ((^[Y1 : ($i > $i) > $i]: (c_Repl @ c_Empty @ c_Inj1)))) @ (sK5 @ X3 @ X2 @ c_Empty @ (sK3 @ X3 @ X2 @ (c_binunion @ (c_Repl @ (c_Inj1 @ c_Empty) @ (^[Y0 : $i]: (c_Repl @ Y0 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1))))))) | ($false = (!! @ $i @ (^[Y0 : $i]: (!! @ (((($i > $i) > $i > $i) > $i) > $i) @ (^[Y1 : ((($i > $i) > $i > $i) > $i) > $i]: ((c_In @ (c_Inj1 @ c_Empty) @ Y0) => ((X2 @ (^[Y2 : $i]: ((^[Y3 : ($i > $i) > $i]: (c_Empty)))) @ c_Empty) => (X4 @ (^[Y2 : $i]: ((^[Y3 : $i]: ((^[Y4 : ($i > $i) > $i > $i]: (c_Inj1 @ c_Empty)))))) @ (c_Inj1 @ (c_Inj1 @ (Y1 @ (^[Y2 : ($i > $i) > $i > $i]: (c_Empty))))) @ (c_Inj1 @ (c_binunion @ (c_Repl @ (c_binunion @ (c_Repl @ (c_Repl @ c_Empty @ c_Inj1) @ (^[Y2 : $i]: (c_Repl @ Y2 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1)) @ (^[Y2 : $i]: (c_Repl @ Y2 @ c_Inj1))) @ (c_Repl @ (c_Inj1 @ (c_Repl @ c_Empty @ c_Inj1)) @ c_Inj1))))))))))) | ($false = (!! @ ((($i > $i > $i) > ($i > $i) > $i > $i) > $i) @ (^[Y0 : (($i > $i > $i) > ($i > $i) > $i > $i) > $i]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((c_In @ (c_Repl @ Y1 @ c_Inj1) @ (c_binunion @ (c_Repl @ (c_binunion @ (c_Repl @ c_Empty @ (^[Y3 : $i]: (c_Repl @ Y3 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1)) @ (^[Y3 : $i]: (c_Repl @ Y3 @ c_Inj1))) @ (c_Repl @ (c_binunion @ (c_Repl @ Y1 @ (^[Y3 : $i]: (c_Repl @ Y3 @ c_Inj1))) @ (c_Repl @ (c_Repl @ (c_binunion @ (c_Repl @ c_Empty @ (^[Y3 : $i]: (c_Repl @ Y3 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1)) @ c_Inj1) @ c_Inj1)) @ c_Inj1))) => ((X3 @ (^[Y3 : $i]: (c_Repl @ (c_Repl @ c_Empty @ c_Inj1) @ c_Inj1)) @ (^[Y3 : (($i > $i) > $i) > $i]: ((^[Y4 : $i > $i > $i]: ((^[Y5 : $i]: ((^[Y6 : $i]: (Y5)))))))) @ (c_binunion @ (c_Repl @ (Y0 @ (^[Y3 : $i > $i > $i]: ((^[Y4 : $i > $i]: ((^[Y5 : $i]: (c_Repl @ (c_binunion @ (c_Repl @ c_Empty @ (^[Y6 : $i]: (c_Repl @ Y6 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1)) @ c_Inj1))))))) @ (^[Y3 : $i]: (c_Repl @ Y3 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1))) => (X1 @ (^[Y3 : $i]: ((^[Y4 : $i > $i > $i]: (c_Repl @ Y3 @ c_Inj1)))) @ Y2 @ (c_binunion @ (c_Repl @ (c_binunion @ (c_Repl @ (c_binunion @ (c_Repl @ c_Empty @ (^[Y3 : $i]: (c_Repl @ Y3 @ c_Inj1))) @ (c_Repl @ (c_binunion @ (c_Repl @ c_Empty @ (^[Y3 : $i]: (c_Repl @ Y3 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1)) @ c_Inj1)) @ (^[Y3 : $i]: (c_Repl @ Y3 @ c_Inj1))) @ (c_Repl @ (c_Repl @ c_Empty @ c_Inj1) @ c_Inj1)) @ (^[Y3 : $i]: (c_Repl @ Y3 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1)))))))))))) | ($false = (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: ((c_In @ (c_Repl @ Y0 @ c_Inj1) @ (c_binunion @ (c_Repl @ (c_binunion @ (c_Repl @ Y3 @ (^[Y4 : $i]: (c_Repl @ Y4 @ c_Inj1))) @ (c_Repl @ (c_binunion @ (c_Repl @ Y1 @ (^[Y4 : $i]: (c_Repl @ Y4 @ c_Inj1))) @ (c_Repl @ (c_binunion @ (c_Repl @ c_Empty @ (^[Y4 : $i]: (c_Repl @ Y4 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1)) @ c_Inj1)) @ c_Inj1)) @ (^[Y4 : $i]: (c_Repl @ Y4 @ c_Inj1))) @ (c_Repl @ (c_Inj1 @ (c_binunion @ (c_Repl @ Y1 @ (^[Y4 : $i]: (c_Repl @ Y4 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1))) @ c_Inj1))) => ((X2 @ (^[Y4 : $i]: ((^[Y5 : ($i > $i) > $i]: (Y2)))) @ c_Empty) => (X3 @ (^[Y4 : $i]: (c_Empty)) @ (^[Y4 : (($i > $i) > $i) > $i]: ((^[Y5 : $i > $i > $i]: ((^[Y6 : $i]: ((^[Y7 : $i]: (c_binunion @ (c_Repl @ c_Empty @ (^[Y8 : $i]: (c_Repl @ Y8 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1))))))))) @ Y1)))))))))))) | ($true = (X1 @ (^[Y0 : $i]: ((^[Y1 : $i > $i > $i]: (c_Empty)))) @ c_Empty @ c_Empty))) )),
% 184.35/23.67 inference(binary_proxy_clausification,[],[f343])).
% 184.35/23.67 thf(f343,plain,(
% 184.35/23.67 ( ! [X2 : ($i > (($i > $i) > $i) > $i) > $i > $o,X3 : ($i > $i) > (((($i > $i) > $i) > $i) > ($i > $i > $i) > $i > $i > $i) > $i > $o,X1 : ($i > ($i > $i > $i) > $i) > $i > $i > $o,X4 : ($i > $i > (($i > $i) > $i > $i) > $i) > $i > $i > $o] : (($false = (!! @ (((($i > $i) > $i > $i) > $i) > $i) @ (^[Y0 : ((($i > $i) > $i > $i) > $i) > $i]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((X1 @ (^[Y3 : $i]: ((^[Y4 : $i > $i > $i]: (c_Empty)))) @ Y2 @ (c_binunion @ (c_Repl @ (c_binunion @ (c_Repl @ (c_binunion @ (c_Repl @ (c_binunion @ (c_Repl @ c_Empty @ (^[Y3 : $i]: (c_Repl @ Y3 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1)) @ (^[Y3 : $i]: (c_Repl @ Y3 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1)) @ (^[Y3 : $i]: (c_Repl @ Y3 @ c_Inj1))) @ (c_Repl @ (c_binunion @ (c_Repl @ (c_binunion @ (c_Repl @ c_Empty @ (^[Y3 : $i]: (c_Repl @ Y3 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1)) @ (^[Y3 : $i]: (c_Repl @ Y3 @ c_Inj1))) @ (c_Repl @ (c_Repl @ c_Empty @ c_Inj1) @ c_Inj1)) @ c_Inj1)) @ (^[Y3 : $i]: (c_Repl @ Y3 @ c_Inj1))) @ (c_Repl @ (c_binunion @ (c_Repl @ c_Empty @ (^[Y3 : $i]: (c_Repl @ Y3 @ c_Inj1))) @ (c_Repl @ (c_Inj1 @ (c_binunion @ (c_Repl @ c_Empty @ (^[Y3 : $i]: (c_Repl @ Y3 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1))) @ c_Inj1)) @ c_Inj1))) => (X1 @ (^[Y3 : $i]: ((^[Y4 : $i > $i > $i]: (Y2)))) @ (c_binunion @ (c_Repl @ (Y0 @ (^[Y3 : ($i > $i) > $i > $i]: (Y2))) @ (^[Y3 : $i]: (c_Repl @ Y3 @ c_Inj1))) @ (c_Repl @ Y1 @ c_Inj1)) @ (c_Repl @ (c_Inj1 @ (c_binunion @ (c_Repl @ (c_binunion @ (c_Repl @ c_Empty @ (^[Y3 : $i]: (c_Repl @ Y3 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1)) @ (^[Y3 : $i]: (c_Repl @ Y3 @ c_Inj1))) @ (c_Repl @ (c_binunion @ (c_Repl @ c_Empty @ (^[Y3 : $i]: (c_Repl @ Y3 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1)) @ c_Inj1))) @ c_Inj1)))))))))) | ($false = (!! @ ($i > (($i > $i) > $i > $i) > $i) @ (^[Y0 : $i > (($i > $i) > $i > $i) > $i]: (!! @ (((($i > $i) > $i > $i) > ($i > $i) > $i > $i) > ($i > $i > $i) > $i) @ (^[Y1 : ((($i > $i) > $i > $i) > ($i > $i) > $i > $i) > ($i > $i > $i) > $i]: (!! @ $i @ (^[Y2 : $i]: ((c_In @ (c_Repl @ c_Empty @ c_Inj1) @ (c_binunion @ (c_Repl @ c_Empty @ (^[Y3 : $i]: (c_Repl @ Y3 @ c_Inj1))) @ (c_Repl @ (Y0 @ (c_Repl @ (c_binunion @ (c_Repl @ c_Empty @ (^[Y3 : $i]: (c_Repl @ Y3 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1)) @ c_Inj1) @ (^[Y3 : $i > $i]: ((^[Y4 : $i]: (c_Repl @ c_Empty @ c_Inj1))))) @ c_Inj1))) => ((X4 @ (^[Y3 : $i]: ((^[Y4 : $i]: ((^[Y5 : ($i > $i) > $i > $i]: (Y3)))))) @ Y2 @ (Y1 @ (^[Y3 : ($i > $i) > $i > $i]: ((^[Y4 : $i > $i]: ((^[Y5 : $i]: (c_Inj1 @ c_Empty)))))) @ (^[Y3 : $i]: ((^[Y4 : $i]: (c_Empty)))))) => (X3 @ (^[Y3 : $i]: (Y3)) @ (^[Y3 : (($i > $i) > $i) > $i]: ((^[Y4 : $i > $i > $i]: ((^[Y5 : $i]: ((^[Y6 : $i]: (Y5)))))))) @ (c_binunion @ (c_Repl @ (c_Repl @ c_Empty @ c_Inj1) @ (^[Y3 : $i]: (c_Repl @ Y3 @ c_Inj1))) @ (c_Repl @ (Y1 @ (^[Y3 : ($i > $i) > $i > $i]: ((^[Y4 : $i > $i]: ((^[Y5 : $i]: (c_Repl @ c_Empty @ c_Inj1)))))) @ (^[Y3 : $i]: ((^[Y4 : $i]: (Y4))))) @ c_Inj1)))))))))))) | ($false = (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: ((c_In @ (c_Repl @ Y0 @ c_Inj1) @ (c_binunion @ (c_Repl @ (c_binunion @ (c_Repl @ Y3 @ (^[Y4 : $i]: (c_Repl @ Y4 @ c_Inj1))) @ (c_Repl @ (c_binunion @ (c_Repl @ Y1 @ (^[Y4 : $i]: (c_Repl @ Y4 @ c_Inj1))) @ (c_Repl @ (c_binunion @ (c_Repl @ c_Empty @ (^[Y4 : $i]: (c_Repl @ Y4 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1)) @ c_Inj1)) @ c_Inj1)) @ (^[Y4 : $i]: (c_Repl @ Y4 @ c_Inj1))) @ (c_Repl @ (c_Inj1 @ (c_binunion @ (c_Repl @ Y1 @ (^[Y4 : $i]: (c_Repl @ Y4 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1))) @ c_Inj1))) => ((X2 @ (^[Y4 : $i]: ((^[Y5 : ($i > $i) > $i]: (Y2)))) @ c_Empty) => (X3 @ (^[Y4 : $i]: (c_Empty)) @ (^[Y4 : (($i > $i) > $i) > $i]: ((^[Y5 : $i > $i > $i]: ((^[Y6 : $i]: ((^[Y7 : $i]: (c_binunion @ (c_Repl @ c_Empty @ (^[Y8 : $i]: (c_Repl @ Y8 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1))))))))) @ Y1)))))))))))) | ((!! @ $i @ (^[Y0 : $i]: (!! @ ($i > $i) @ (^[Y1 : $i > $i]: (~ (X4 @ (^[Y2 : $i]: ((^[Y3 : $i]: ((^[Y4 : ($i > $i) > $i > $i]: (c_Empty)))))) @ (Y1 @ c_Empty) @ Y0)))))) = $false) | ($true = (X1 @ (^[Y0 : $i]: ((^[Y1 : $i > $i > $i]: (c_Empty)))) @ c_Empty @ c_Empty)) | ($false = (!! @ $i @ (^[Y0 : $i]: (!! @ (((($i > $i) > $i > $i) > $i) > $i) @ (^[Y1 : ((($i > $i) > $i > $i) > $i) > $i]: ((c_In @ (c_Inj1 @ c_Empty) @ Y0) => ((X2 @ (^[Y2 : $i]: ((^[Y3 : ($i > $i) > $i]: (c_Empty)))) @ c_Empty) => (X4 @ (^[Y2 : $i]: ((^[Y3 : $i]: ((^[Y4 : ($i > $i) > $i > $i]: (c_Inj1 @ c_Empty)))))) @ (c_Inj1 @ (c_Inj1 @ (Y1 @ (^[Y2 : ($i > $i) > $i > $i]: (c_Empty))))) @ (c_Inj1 @ (c_binunion @ (c_Repl @ (c_binunion @ (c_Repl @ (c_Repl @ c_Empty @ c_Inj1) @ (^[Y2 : $i]: (c_Repl @ Y2 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1)) @ (^[Y2 : $i]: (c_Repl @ Y2 @ c_Inj1))) @ (c_Repl @ (c_Inj1 @ (c_Repl @ c_Empty @ c_Inj1)) @ c_Inj1))))))))))) | ($false = (!! @ ((($i > $i > $i) > ($i > $i) > $i > $i) > $i) @ (^[Y0 : (($i > $i > $i) > ($i > $i) > $i > $i) > $i]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((c_In @ (c_Repl @ Y1 @ c_Inj1) @ (c_binunion @ (c_Repl @ (c_binunion @ (c_Repl @ c_Empty @ (^[Y3 : $i]: (c_Repl @ Y3 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1)) @ (^[Y3 : $i]: (c_Repl @ Y3 @ c_Inj1))) @ (c_Repl @ (c_binunion @ (c_Repl @ Y1 @ (^[Y3 : $i]: (c_Repl @ Y3 @ c_Inj1))) @ (c_Repl @ (c_Repl @ (c_binunion @ (c_Repl @ c_Empty @ (^[Y3 : $i]: (c_Repl @ Y3 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1)) @ c_Inj1) @ c_Inj1)) @ c_Inj1))) => ((X3 @ (^[Y3 : $i]: (c_Repl @ (c_Repl @ c_Empty @ c_Inj1) @ c_Inj1)) @ (^[Y3 : (($i > $i) > $i) > $i]: ((^[Y4 : $i > $i > $i]: ((^[Y5 : $i]: ((^[Y6 : $i]: (Y5)))))))) @ (c_binunion @ (c_Repl @ (Y0 @ (^[Y3 : $i > $i > $i]: ((^[Y4 : $i > $i]: ((^[Y5 : $i]: (c_Repl @ (c_binunion @ (c_Repl @ c_Empty @ (^[Y6 : $i]: (c_Repl @ Y6 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1)) @ c_Inj1))))))) @ (^[Y3 : $i]: (c_Repl @ Y3 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1))) => (X1 @ (^[Y3 : $i]: ((^[Y4 : $i > $i > $i]: (c_Repl @ Y3 @ c_Inj1)))) @ Y2 @ (c_binunion @ (c_Repl @ (c_binunion @ (c_Repl @ (c_binunion @ (c_Repl @ c_Empty @ (^[Y3 : $i]: (c_Repl @ Y3 @ c_Inj1))) @ (c_Repl @ (c_binunion @ (c_Repl @ c_Empty @ (^[Y3 : $i]: (c_Repl @ Y3 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1)) @ c_Inj1)) @ (^[Y3 : $i]: (c_Repl @ Y3 @ c_Inj1))) @ (c_Repl @ (c_Repl @ c_Empty @ c_Inj1) @ c_Inj1)) @ (^[Y3 : $i]: (c_Repl @ Y3 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1)))))))))))) | ($false = ((c_In @ (c_Repl @ (c_Inj1 @ c_Empty) @ c_Inj1) @ (c_binunion @ (c_Repl @ (c_binunion @ (c_Repl @ (c_Repl @ c_Empty @ c_Inj1) @ (^[Y0 : $i]: (c_Repl @ Y0 @ c_Inj1))) @ (c_Repl @ (c_binunion @ (c_Repl @ (c_binunion @ (c_Repl @ c_Empty @ (^[Y0 : $i]: (c_Repl @ Y0 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1)) @ (^[Y0 : $i]: (c_Repl @ Y0 @ c_Inj1))) @ (c_Repl @ (c_binunion @ (c_Repl @ c_Empty @ (^[Y0 : $i]: (c_Repl @ Y0 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1)) @ c_Inj1)) @ c_Inj1)) @ (^[Y0 : $i]: (c_Repl @ Y0 @ c_Inj1))) @ (c_Repl @ (c_binunion @ (c_Repl @ c_Empty @ (^[Y0 : $i]: (c_Repl @ Y0 @ c_Inj1))) @ (c_Repl @ (c_binunion @ (c_Repl @ (c_Repl @ c_Empty @ c_Inj1) @ (^[Y0 : $i]: (c_Repl @ Y0 @ c_Inj1))) @ (c_Repl @ (sK5 @ X3 @ X2 @ c_Empty @ c_Empty) @ c_Inj1)) @ c_Inj1)) @ c_Inj1))) => ((X3 @ (^[Y0 : $i]: (c_Empty)) @ (^[Y0 : (($i > $i) > $i) > $i]: ((^[Y1 : $i > $i > $i]: ((^[Y2 : $i]: ((^[Y3 : $i]: (c_Empty)))))))) @ (c_binunion @ (c_Repl @ (c_binunion @ (c_Repl @ c_Empty @ (^[Y0 : $i]: (c_Repl @ Y0 @ c_Inj1))) @ (c_Repl @ (c_binunion @ (c_Repl @ (c_binunion @ (c_Repl @ c_Empty @ (^[Y0 : $i]: (c_Repl @ Y0 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1)) @ (^[Y0 : $i]: (c_Repl @ Y0 @ c_Inj1))) @ (c_Repl @ (c_Repl @ c_Empty @ c_Inj1) @ c_Inj1)) @ c_Inj1)) @ (^[Y0 : $i]: (c_Repl @ Y0 @ c_Inj1))) @ (c_Repl @ (c_Inj1 @ (sK4 @ X3 @ X2)) @ c_Inj1))) => (X2 @ (^[Y0 : $i]: ((^[Y1 : ($i > $i) > $i]: (c_Repl @ c_Empty @ c_Inj1)))) @ (sK5 @ X3 @ X2 @ c_Empty @ (sK3 @ X3 @ X2 @ (c_binunion @ (c_Repl @ (c_Inj1 @ c_Empty) @ (^[Y0 : $i]: (c_Repl @ Y0 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1))))))))) )),
% 184.35/23.67 inference(beta_eta_normalization,[],[f342])).
% 184.35/23.67 thf(f342,plain,(
% 184.35/23.67 ( ! [X2 : ($i > (($i > $i) > $i) > $i) > $i > $o,X3 : ($i > $i) > (((($i > $i) > $i) > $i) > ($i > $i > $i) > $i > $i > $i) > $i > $o,X1 : ($i > ($i > $i > $i) > $i) > $i > $i > $o,X4 : ($i > $i > (($i > $i) > $i > $i) > $i) > $i > $i > $o] : (($false = (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: ((c_In @ (c_Repl @ Y0 @ c_Inj1) @ (c_binunion @ (c_Repl @ (c_binunion @ (c_Repl @ Y3 @ (^[Y4 : $i]: (c_Repl @ Y4 @ c_Inj1))) @ (c_Repl @ (c_binunion @ (c_Repl @ Y1 @ (^[Y4 : $i]: (c_Repl @ Y4 @ c_Inj1))) @ (c_Repl @ (c_binunion @ (c_Repl @ c_Empty @ (^[Y4 : $i]: (c_Repl @ Y4 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1)) @ c_Inj1)) @ c_Inj1)) @ (^[Y4 : $i]: (c_Repl @ Y4 @ c_Inj1))) @ (c_Repl @ (c_Inj1 @ (c_binunion @ (c_Repl @ Y1 @ (^[Y4 : $i]: (c_Repl @ Y4 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1))) @ c_Inj1))) => ((X2 @ (^[Y4 : $i]: ((^[Y5 : ($i > $i) > $i]: (Y2)))) @ c_Empty) => (X3 @ (^[Y4 : $i]: (c_Empty)) @ (^[Y4 : (($i > $i) > $i) > $i]: ((^[Y5 : $i > $i > $i]: ((^[Y6 : $i]: ((^[Y7 : $i]: (c_binunion @ (c_Repl @ c_Empty @ (^[Y8 : $i]: (c_Repl @ Y8 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1))))))))) @ Y1)))))))))))) | ($false = (!! @ $i @ (^[Y0 : $i]: (!! @ (((($i > $i) > $i > $i) > $i) > $i) @ (^[Y1 : ((($i > $i) > $i > $i) > $i) > $i]: ((c_In @ (c_Inj1 @ c_Empty) @ Y0) => ((X2 @ (^[Y2 : $i]: ((^[Y3 : ($i > $i) > $i]: (c_Empty)))) @ c_Empty) => (X4 @ (^[Y2 : $i]: ((^[Y3 : $i]: ((^[Y4 : ($i > $i) > $i > $i]: (c_Inj1 @ c_Empty)))))) @ (c_Inj1 @ (c_Inj1 @ (Y1 @ (^[Y2 : ($i > $i) > $i > $i]: (c_Empty))))) @ (c_Inj1 @ (c_binunion @ (c_Repl @ (c_binunion @ (c_Repl @ (c_Repl @ c_Empty @ c_Inj1) @ (^[Y2 : $i]: (c_Repl @ Y2 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1)) @ (^[Y2 : $i]: (c_Repl @ Y2 @ c_Inj1))) @ (c_Repl @ (c_Inj1 @ (c_Repl @ c_Empty @ c_Inj1)) @ c_Inj1))))))))))) | (((^[Y0 : $i > $i > $i]: ((c_In @ (c_Repl @ (c_Inj1 @ c_Empty) @ c_Inj1) @ (c_binunion @ (c_Repl @ (c_binunion @ (c_Repl @ (c_Repl @ c_Empty @ c_Inj1) @ (^[Y1 : $i]: (c_Repl @ Y1 @ c_Inj1))) @ (c_Repl @ (c_binunion @ (c_Repl @ (c_binunion @ (c_Repl @ c_Empty @ (^[Y1 : $i]: (c_Repl @ Y1 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1)) @ (^[Y1 : $i]: (c_Repl @ Y1 @ c_Inj1))) @ (c_Repl @ (c_binunion @ (c_Repl @ c_Empty @ (^[Y1 : $i]: (c_Repl @ Y1 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1)) @ c_Inj1)) @ c_Inj1)) @ (^[Y1 : $i]: (c_Repl @ Y1 @ c_Inj1))) @ (c_Repl @ (c_binunion @ (c_Repl @ c_Empty @ (^[Y1 : $i]: (c_Repl @ Y1 @ c_Inj1))) @ (c_Repl @ (c_binunion @ (c_Repl @ (c_Repl @ c_Empty @ c_Inj1) @ (^[Y1 : $i]: (c_Repl @ Y1 @ c_Inj1))) @ (c_Repl @ (Y0 @ c_Empty @ c_Empty) @ c_Inj1)) @ c_Inj1)) @ c_Inj1))) => ((X3 @ (^[Y1 : $i]: (c_Empty)) @ (^[Y1 : (($i > $i) > $i) > $i]: ((^[Y2 : $i > $i > $i]: ((^[Y3 : $i]: ((^[Y4 : $i]: (c_Empty)))))))) @ (c_binunion @ (c_Repl @ (c_binunion @ (c_Repl @ c_Empty @ (^[Y1 : $i]: (c_Repl @ Y1 @ c_Inj1))) @ (c_Repl @ (c_binunion @ (c_Repl @ (c_binunion @ (c_Repl @ c_Empty @ (^[Y1 : $i]: (c_Repl @ Y1 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1)) @ (^[Y1 : $i]: (c_Repl @ Y1 @ c_Inj1))) @ (c_Repl @ (c_Repl @ c_Empty @ c_Inj1) @ c_Inj1)) @ c_Inj1)) @ (^[Y1 : $i]: (c_Repl @ Y1 @ c_Inj1))) @ (c_Repl @ (c_Inj1 @ (sK4 @ X3 @ X2)) @ c_Inj1))) => (X2 @ (^[Y1 : $i]: ((^[Y2 : ($i > $i) > $i]: (c_Repl @ c_Empty @ c_Inj1)))) @ (Y0 @ c_Empty @ (sK3 @ X3 @ X2 @ (c_binunion @ (c_Repl @ (c_Inj1 @ c_Empty) @ (^[Y1 : $i]: (c_Repl @ Y1 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1)))))))) @ (sK5 @ X3 @ X2)) = $false) | ($false = (!! @ ((($i > $i > $i) > ($i > $i) > $i > $i) > $i) @ (^[Y0 : (($i > $i > $i) > ($i > $i) > $i > $i) > $i]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((c_In @ (c_Repl @ Y1 @ c_Inj1) @ (c_binunion @ (c_Repl @ (c_binunion @ (c_Repl @ c_Empty @ (^[Y3 : $i]: (c_Repl @ Y3 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1)) @ (^[Y3 : $i]: (c_Repl @ Y3 @ c_Inj1))) @ (c_Repl @ (c_binunion @ (c_Repl @ Y1 @ (^[Y3 : $i]: (c_Repl @ Y3 @ c_Inj1))) @ (c_Repl @ (c_Repl @ (c_binunion @ (c_Repl @ c_Empty @ (^[Y3 : $i]: (c_Repl @ Y3 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1)) @ c_Inj1) @ c_Inj1)) @ c_Inj1))) => ((X3 @ (^[Y3 : $i]: (c_Repl @ (c_Repl @ c_Empty @ c_Inj1) @ c_Inj1)) @ (^[Y3 : (($i > $i) > $i) > $i]: ((^[Y4 : $i > $i > $i]: ((^[Y5 : $i]: ((^[Y6 : $i]: (Y5)))))))) @ (c_binunion @ (c_Repl @ (Y0 @ (^[Y3 : $i > $i > $i]: ((^[Y4 : $i > $i]: ((^[Y5 : $i]: (c_Repl @ (c_binunion @ (c_Repl @ c_Empty @ (^[Y6 : $i]: (c_Repl @ Y6 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1)) @ c_Inj1))))))) @ (^[Y3 : $i]: (c_Repl @ Y3 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1))) => (X1 @ (^[Y3 : $i]: ((^[Y4 : $i > $i > $i]: (c_Repl @ Y3 @ c_Inj1)))) @ Y2 @ (c_binunion @ (c_Repl @ (c_binunion @ (c_Repl @ (c_binunion @ (c_Repl @ c_Empty @ (^[Y3 : $i]: (c_Repl @ Y3 @ c_Inj1))) @ (c_Repl @ (c_binunion @ (c_Repl @ c_Empty @ (^[Y3 : $i]: (c_Repl @ Y3 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1)) @ c_Inj1)) @ (^[Y3 : $i]: (c_Repl @ Y3 @ c_Inj1))) @ (c_Repl @ (c_Repl @ c_Empty @ c_Inj1) @ c_Inj1)) @ (^[Y3 : $i]: (c_Repl @ Y3 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1)))))))))))) | ($false = (!! @ ($i > (($i > $i) > $i > $i) > $i) @ (^[Y0 : $i > (($i > $i) > $i > $i) > $i]: (!! @ (((($i > $i) > $i > $i) > ($i > $i) > $i > $i) > ($i > $i > $i) > $i) @ (^[Y1 : ((($i > $i) > $i > $i) > ($i > $i) > $i > $i) > ($i > $i > $i) > $i]: (!! @ $i @ (^[Y2 : $i]: ((c_In @ (c_Repl @ c_Empty @ c_Inj1) @ (c_binunion @ (c_Repl @ c_Empty @ (^[Y3 : $i]: (c_Repl @ Y3 @ c_Inj1))) @ (c_Repl @ (Y0 @ (c_Repl @ (c_binunion @ (c_Repl @ c_Empty @ (^[Y3 : $i]: (c_Repl @ Y3 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1)) @ c_Inj1) @ (^[Y3 : $i > $i]: ((^[Y4 : $i]: (c_Repl @ c_Empty @ c_Inj1))))) @ c_Inj1))) => ((X4 @ (^[Y3 : $i]: ((^[Y4 : $i]: ((^[Y5 : ($i > $i) > $i > $i]: (Y3)))))) @ Y2 @ (Y1 @ (^[Y3 : ($i > $i) > $i > $i]: ((^[Y4 : $i > $i]: ((^[Y5 : $i]: (c_Inj1 @ c_Empty)))))) @ (^[Y3 : $i]: ((^[Y4 : $i]: (c_Empty)))))) => (X3 @ (^[Y3 : $i]: (Y3)) @ (^[Y3 : (($i > $i) > $i) > $i]: ((^[Y4 : $i > $i > $i]: ((^[Y5 : $i]: ((^[Y6 : $i]: (Y5)))))))) @ (c_binunion @ (c_Repl @ (c_Repl @ c_Empty @ c_Inj1) @ (^[Y3 : $i]: (c_Repl @ Y3 @ c_Inj1))) @ (c_Repl @ (Y1 @ (^[Y3 : ($i > $i) > $i > $i]: ((^[Y4 : $i > $i]: ((^[Y5 : $i]: (c_Repl @ c_Empty @ c_Inj1)))))) @ (^[Y3 : $i]: ((^[Y4 : $i]: (Y4))))) @ c_Inj1)))))))))))) | ($true = (X1 @ (^[Y0 : $i]: ((^[Y1 : $i > $i > $i]: (c_Empty)))) @ c_Empty @ c_Empty)) | ($false = (!! @ (((($i > $i) > $i > $i) > $i) > $i) @ (^[Y0 : ((($i > $i) > $i > $i) > $i) > $i]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((X1 @ (^[Y3 : $i]: ((^[Y4 : $i > $i > $i]: (c_Empty)))) @ Y2 @ (c_binunion @ (c_Repl @ (c_binunion @ (c_Repl @ (c_binunion @ (c_Repl @ (c_binunion @ (c_Repl @ c_Empty @ (^[Y3 : $i]: (c_Repl @ Y3 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1)) @ (^[Y3 : $i]: (c_Repl @ Y3 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1)) @ (^[Y3 : $i]: (c_Repl @ Y3 @ c_Inj1))) @ (c_Repl @ (c_binunion @ (c_Repl @ (c_binunion @ (c_Repl @ c_Empty @ (^[Y3 : $i]: (c_Repl @ Y3 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1)) @ (^[Y3 : $i]: (c_Repl @ Y3 @ c_Inj1))) @ (c_Repl @ (c_Repl @ c_Empty @ c_Inj1) @ c_Inj1)) @ c_Inj1)) @ (^[Y3 : $i]: (c_Repl @ Y3 @ c_Inj1))) @ (c_Repl @ (c_binunion @ (c_Repl @ c_Empty @ (^[Y3 : $i]: (c_Repl @ Y3 @ c_Inj1))) @ (c_Repl @ (c_Inj1 @ (c_binunion @ (c_Repl @ c_Empty @ (^[Y3 : $i]: (c_Repl @ Y3 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1))) @ c_Inj1)) @ c_Inj1))) => (X1 @ (^[Y3 : $i]: ((^[Y4 : $i > $i > $i]: (Y2)))) @ (c_binunion @ (c_Repl @ (Y0 @ (^[Y3 : ($i > $i) > $i > $i]: (Y2))) @ (^[Y3 : $i]: (c_Repl @ Y3 @ c_Inj1))) @ (c_Repl @ Y1 @ c_Inj1)) @ (c_Repl @ (c_Inj1 @ (c_binunion @ (c_Repl @ (c_binunion @ (c_Repl @ c_Empty @ (^[Y3 : $i]: (c_Repl @ Y3 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1)) @ (^[Y3 : $i]: (c_Repl @ Y3 @ c_Inj1))) @ (c_Repl @ (c_binunion @ (c_Repl @ c_Empty @ (^[Y3 : $i]: (c_Repl @ Y3 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1)) @ c_Inj1))) @ c_Inj1)))))))))) | ((!! @ $i @ (^[Y0 : $i]: (!! @ ($i > $i) @ (^[Y1 : $i > $i]: (~ (X4 @ (^[Y2 : $i]: ((^[Y3 : $i]: ((^[Y4 : ($i > $i) > $i > $i]: (c_Empty)))))) @ (Y1 @ c_Empty) @ Y0)))))) = $false)) )),
% 184.35/23.67 inference(sigma_clausification,[],[f341])).
% 184.35/23.67 thf(f341,plain,(
% 184.35/23.67 ( ! [X2 : ($i > (($i > $i) > $i) > $i) > $i > $o,X3 : ($i > $i) > (((($i > $i) > $i) > $i) > ($i > $i > $i) > $i > $i > $i) > $i > $o,X1 : ($i > ($i > $i > $i) > $i) > $i > $i > $o,X4 : ($i > $i > (($i > $i) > $i > $i) > $i) > $i > $i > $o] : (((!! @ ($i > $i > $i) @ (^[Y0 : $i > $i > $i]: ((c_In @ (c_Repl @ (c_Inj1 @ c_Empty) @ c_Inj1) @ (c_binunion @ (c_Repl @ (c_binunion @ (c_Repl @ (c_Repl @ c_Empty @ c_Inj1) @ (^[Y1 : $i]: (c_Repl @ Y1 @ c_Inj1))) @ (c_Repl @ (c_binunion @ (c_Repl @ (c_binunion @ (c_Repl @ c_Empty @ (^[Y1 : $i]: (c_Repl @ Y1 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1)) @ (^[Y1 : $i]: (c_Repl @ Y1 @ c_Inj1))) @ (c_Repl @ (c_binunion @ (c_Repl @ c_Empty @ (^[Y1 : $i]: (c_Repl @ Y1 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1)) @ c_Inj1)) @ c_Inj1)) @ (^[Y1 : $i]: (c_Repl @ Y1 @ c_Inj1))) @ (c_Repl @ (c_binunion @ (c_Repl @ c_Empty @ (^[Y1 : $i]: (c_Repl @ Y1 @ c_Inj1))) @ (c_Repl @ (c_binunion @ (c_Repl @ (c_Repl @ c_Empty @ c_Inj1) @ (^[Y1 : $i]: (c_Repl @ Y1 @ c_Inj1))) @ (c_Repl @ (Y0 @ c_Empty @ c_Empty) @ c_Inj1)) @ c_Inj1)) @ c_Inj1))) => ((X3 @ (^[Y1 : $i]: (c_Empty)) @ (^[Y1 : (($i > $i) > $i) > $i]: ((^[Y2 : $i > $i > $i]: ((^[Y3 : $i]: ((^[Y4 : $i]: (c_Empty)))))))) @ (c_binunion @ (c_Repl @ (c_binunion @ (c_Repl @ c_Empty @ (^[Y1 : $i]: (c_Repl @ Y1 @ c_Inj1))) @ (c_Repl @ (c_binunion @ (c_Repl @ (c_binunion @ (c_Repl @ c_Empty @ (^[Y1 : $i]: (c_Repl @ Y1 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1)) @ (^[Y1 : $i]: (c_Repl @ Y1 @ c_Inj1))) @ (c_Repl @ (c_Repl @ c_Empty @ c_Inj1) @ c_Inj1)) @ c_Inj1)) @ (^[Y1 : $i]: (c_Repl @ Y1 @ c_Inj1))) @ (c_Repl @ (c_Inj1 @ (sK4 @ X3 @ X2)) @ c_Inj1))) => (X2 @ (^[Y1 : $i]: ((^[Y2 : ($i > $i) > $i]: (c_Repl @ c_Empty @ c_Inj1)))) @ (Y0 @ c_Empty @ (sK3 @ X3 @ X2 @ (c_binunion @ (c_Repl @ (c_Inj1 @ c_Empty) @ (^[Y1 : $i]: (c_Repl @ Y1 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1))))))))) = $false) | ($false = (!! @ ((($i > $i > $i) > ($i > $i) > $i > $i) > $i) @ (^[Y0 : (($i > $i > $i) > ($i > $i) > $i > $i) > $i]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((c_In @ (c_Repl @ Y1 @ c_Inj1) @ (c_binunion @ (c_Repl @ (c_binunion @ (c_Repl @ c_Empty @ (^[Y3 : $i]: (c_Repl @ Y3 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1)) @ (^[Y3 : $i]: (c_Repl @ Y3 @ c_Inj1))) @ (c_Repl @ (c_binunion @ (c_Repl @ Y1 @ (^[Y3 : $i]: (c_Repl @ Y3 @ c_Inj1))) @ (c_Repl @ (c_Repl @ (c_binunion @ (c_Repl @ c_Empty @ (^[Y3 : $i]: (c_Repl @ Y3 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1)) @ c_Inj1) @ c_Inj1)) @ c_Inj1))) => ((X3 @ (^[Y3 : $i]: (c_Repl @ (c_Repl @ c_Empty @ c_Inj1) @ c_Inj1)) @ (^[Y3 : (($i > $i) > $i) > $i]: ((^[Y4 : $i > $i > $i]: ((^[Y5 : $i]: ((^[Y6 : $i]: (Y5)))))))) @ (c_binunion @ (c_Repl @ (Y0 @ (^[Y3 : $i > $i > $i]: ((^[Y4 : $i > $i]: ((^[Y5 : $i]: (c_Repl @ (c_binunion @ (c_Repl @ c_Empty @ (^[Y6 : $i]: (c_Repl @ Y6 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1)) @ c_Inj1))))))) @ (^[Y3 : $i]: (c_Repl @ Y3 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1))) => (X1 @ (^[Y3 : $i]: ((^[Y4 : $i > $i > $i]: (c_Repl @ Y3 @ c_Inj1)))) @ Y2 @ (c_binunion @ (c_Repl @ (c_binunion @ (c_Repl @ (c_binunion @ (c_Repl @ c_Empty @ (^[Y3 : $i]: (c_Repl @ Y3 @ c_Inj1))) @ (c_Repl @ (c_binunion @ (c_Repl @ c_Empty @ (^[Y3 : $i]: (c_Repl @ Y3 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1)) @ c_Inj1)) @ (^[Y3 : $i]: (c_Repl @ Y3 @ c_Inj1))) @ (c_Repl @ (c_Repl @ c_Empty @ c_Inj1) @ c_Inj1)) @ (^[Y3 : $i]: (c_Repl @ Y3 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1)))))))))))) | ($false = (!! @ (((($i > $i) > $i > $i) > $i) > $i) @ (^[Y0 : ((($i > $i) > $i > $i) > $i) > $i]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((X1 @ (^[Y3 : $i]: ((^[Y4 : $i > $i > $i]: (c_Empty)))) @ Y2 @ (c_binunion @ (c_Repl @ (c_binunion @ (c_Repl @ (c_binunion @ (c_Repl @ (c_binunion @ (c_Repl @ c_Empty @ (^[Y3 : $i]: (c_Repl @ Y3 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1)) @ (^[Y3 : $i]: (c_Repl @ Y3 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1)) @ (^[Y3 : $i]: (c_Repl @ Y3 @ c_Inj1))) @ (c_Repl @ (c_binunion @ (c_Repl @ (c_binunion @ (c_Repl @ c_Empty @ (^[Y3 : $i]: (c_Repl @ Y3 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1)) @ (^[Y3 : $i]: (c_Repl @ Y3 @ c_Inj1))) @ (c_Repl @ (c_Repl @ c_Empty @ c_Inj1) @ c_Inj1)) @ c_Inj1)) @ (^[Y3 : $i]: (c_Repl @ Y3 @ c_Inj1))) @ (c_Repl @ (c_binunion @ (c_Repl @ c_Empty @ (^[Y3 : $i]: (c_Repl @ Y3 @ c_Inj1))) @ (c_Repl @ (c_Inj1 @ (c_binunion @ (c_Repl @ c_Empty @ (^[Y3 : $i]: (c_Repl @ Y3 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1))) @ c_Inj1)) @ c_Inj1))) => (X1 @ (^[Y3 : $i]: ((^[Y4 : $i > $i > $i]: (Y2)))) @ (c_binunion @ (c_Repl @ (Y0 @ (^[Y3 : ($i > $i) > $i > $i]: (Y2))) @ (^[Y3 : $i]: (c_Repl @ Y3 @ c_Inj1))) @ (c_Repl @ Y1 @ c_Inj1)) @ (c_Repl @ (c_Inj1 @ (c_binunion @ (c_Repl @ (c_binunion @ (c_Repl @ c_Empty @ (^[Y3 : $i]: (c_Repl @ Y3 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1)) @ (^[Y3 : $i]: (c_Repl @ Y3 @ c_Inj1))) @ (c_Repl @ (c_binunion @ (c_Repl @ c_Empty @ (^[Y3 : $i]: (c_Repl @ Y3 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1)) @ c_Inj1))) @ c_Inj1)))))))))) | ($false = (!! @ ($i > (($i > $i) > $i > $i) > $i) @ (^[Y0 : $i > (($i > $i) > $i > $i) > $i]: (!! @ (((($i > $i) > $i > $i) > ($i > $i) > $i > $i) > ($i > $i > $i) > $i) @ (^[Y1 : ((($i > $i) > $i > $i) > ($i > $i) > $i > $i) > ($i > $i > $i) > $i]: (!! @ $i @ (^[Y2 : $i]: ((c_In @ (c_Repl @ c_Empty @ c_Inj1) @ (c_binunion @ (c_Repl @ c_Empty @ (^[Y3 : $i]: (c_Repl @ Y3 @ c_Inj1))) @ (c_Repl @ (Y0 @ (c_Repl @ (c_binunion @ (c_Repl @ c_Empty @ (^[Y3 : $i]: (c_Repl @ Y3 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1)) @ c_Inj1) @ (^[Y3 : $i > $i]: ((^[Y4 : $i]: (c_Repl @ c_Empty @ c_Inj1))))) @ c_Inj1))) => ((X4 @ (^[Y3 : $i]: ((^[Y4 : $i]: ((^[Y5 : ($i > $i) > $i > $i]: (Y3)))))) @ Y2 @ (Y1 @ (^[Y3 : ($i > $i) > $i > $i]: ((^[Y4 : $i > $i]: ((^[Y5 : $i]: (c_Inj1 @ c_Empty)))))) @ (^[Y3 : $i]: ((^[Y4 : $i]: (c_Empty)))))) => (X3 @ (^[Y3 : $i]: (Y3)) @ (^[Y3 : (($i > $i) > $i) > $i]: ((^[Y4 : $i > $i > $i]: ((^[Y5 : $i]: ((^[Y6 : $i]: (Y5)))))))) @ (c_binunion @ (c_Repl @ (c_Repl @ c_Empty @ c_Inj1) @ (^[Y3 : $i]: (c_Repl @ Y3 @ c_Inj1))) @ (c_Repl @ (Y1 @ (^[Y3 : ($i > $i) > $i > $i]: ((^[Y4 : $i > $i]: ((^[Y5 : $i]: (c_Repl @ c_Empty @ c_Inj1)))))) @ (^[Y3 : $i]: ((^[Y4 : $i]: (Y4))))) @ c_Inj1)))))))))))) | ($false = (!! @ $i @ (^[Y0 : $i]: (!! @ (((($i > $i) > $i > $i) > $i) > $i) @ (^[Y1 : ((($i > $i) > $i > $i) > $i) > $i]: ((c_In @ (c_Inj1 @ c_Empty) @ Y0) => ((X2 @ (^[Y2 : $i]: ((^[Y3 : ($i > $i) > $i]: (c_Empty)))) @ c_Empty) => (X4 @ (^[Y2 : $i]: ((^[Y3 : $i]: ((^[Y4 : ($i > $i) > $i > $i]: (c_Inj1 @ c_Empty)))))) @ (c_Inj1 @ (c_Inj1 @ (Y1 @ (^[Y2 : ($i > $i) > $i > $i]: (c_Empty))))) @ (c_Inj1 @ (c_binunion @ (c_Repl @ (c_binunion @ (c_Repl @ (c_Repl @ c_Empty @ c_Inj1) @ (^[Y2 : $i]: (c_Repl @ Y2 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1)) @ (^[Y2 : $i]: (c_Repl @ Y2 @ c_Inj1))) @ (c_Repl @ (c_Inj1 @ (c_Repl @ c_Empty @ c_Inj1)) @ c_Inj1))))))))))) | ($true = (X1 @ (^[Y0 : $i]: ((^[Y1 : $i > $i > $i]: (c_Empty)))) @ c_Empty @ c_Empty)) | ($false = (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: ((c_In @ (c_Repl @ Y0 @ c_Inj1) @ (c_binunion @ (c_Repl @ (c_binunion @ (c_Repl @ Y3 @ (^[Y4 : $i]: (c_Repl @ Y4 @ c_Inj1))) @ (c_Repl @ (c_binunion @ (c_Repl @ Y1 @ (^[Y4 : $i]: (c_Repl @ Y4 @ c_Inj1))) @ (c_Repl @ (c_binunion @ (c_Repl @ c_Empty @ (^[Y4 : $i]: (c_Repl @ Y4 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1)) @ c_Inj1)) @ c_Inj1)) @ (^[Y4 : $i]: (c_Repl @ Y4 @ c_Inj1))) @ (c_Repl @ (c_Inj1 @ (c_binunion @ (c_Repl @ Y1 @ (^[Y4 : $i]: (c_Repl @ Y4 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1))) @ c_Inj1))) => ((X2 @ (^[Y4 : $i]: ((^[Y5 : ($i > $i) > $i]: (Y2)))) @ c_Empty) => (X3 @ (^[Y4 : $i]: (c_Empty)) @ (^[Y4 : (($i > $i) > $i) > $i]: ((^[Y5 : $i > $i > $i]: ((^[Y6 : $i]: ((^[Y7 : $i]: (c_binunion @ (c_Repl @ c_Empty @ (^[Y8 : $i]: (c_Repl @ Y8 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1))))))))) @ Y1)))))))))))) | ((!! @ $i @ (^[Y0 : $i]: (!! @ ($i > $i) @ (^[Y1 : $i > $i]: (~ (X4 @ (^[Y2 : $i]: ((^[Y3 : $i]: ((^[Y4 : ($i > $i) > $i > $i]: (c_Empty)))))) @ (Y1 @ c_Empty) @ Y0)))))) = $false)) )),
% 184.35/23.67 inference(beta_eta_normalization,[],[f340])).
% 184.35/23.67 thf(f340,plain,(
% 184.35/23.67 ( ! [X2 : ($i > (($i > $i) > $i) > $i) > $i > $o,X3 : ($i > $i) > (((($i > $i) > $i) > $i) > ($i > $i > $i) > $i > $i > $i) > $i > $o,X1 : ($i > ($i > $i > $i) > $i) > $i > $i > $o,X4 : ($i > $i > (($i > $i) > $i > $i) > $i) > $i > $i > $o] : (($false = ((^[Y0 : $i]: (!! @ ($i > $i > $i) @ (^[Y1 : $i > $i > $i]: ((c_In @ (c_Repl @ (c_Inj1 @ c_Empty) @ c_Inj1) @ (c_binunion @ (c_Repl @ (c_binunion @ (c_Repl @ (c_Repl @ c_Empty @ c_Inj1) @ (^[Y2 : $i]: (c_Repl @ Y2 @ c_Inj1))) @ (c_Repl @ (c_binunion @ (c_Repl @ (c_binunion @ (c_Repl @ c_Empty @ (^[Y2 : $i]: (c_Repl @ Y2 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1)) @ (^[Y2 : $i]: (c_Repl @ Y2 @ c_Inj1))) @ (c_Repl @ (c_binunion @ (c_Repl @ c_Empty @ (^[Y2 : $i]: (c_Repl @ Y2 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1)) @ c_Inj1)) @ c_Inj1)) @ (^[Y2 : $i]: (c_Repl @ Y2 @ c_Inj1))) @ (c_Repl @ (c_binunion @ (c_Repl @ c_Empty @ (^[Y2 : $i]: (c_Repl @ Y2 @ c_Inj1))) @ (c_Repl @ (c_binunion @ (c_Repl @ (c_Repl @ c_Empty @ c_Inj1) @ (^[Y2 : $i]: (c_Repl @ Y2 @ c_Inj1))) @ (c_Repl @ (Y1 @ c_Empty @ c_Empty) @ c_Inj1)) @ c_Inj1)) @ c_Inj1))) => ((X3 @ (^[Y2 : $i]: (c_Empty)) @ (^[Y2 : (($i > $i) > $i) > $i]: ((^[Y3 : $i > $i > $i]: ((^[Y4 : $i]: ((^[Y5 : $i]: (c_Empty)))))))) @ (c_binunion @ (c_Repl @ (c_binunion @ (c_Repl @ c_Empty @ (^[Y2 : $i]: (c_Repl @ Y2 @ c_Inj1))) @ (c_Repl @ (c_binunion @ (c_Repl @ (c_binunion @ (c_Repl @ c_Empty @ (^[Y2 : $i]: (c_Repl @ Y2 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1)) @ (^[Y2 : $i]: (c_Repl @ Y2 @ c_Inj1))) @ (c_Repl @ (c_Repl @ c_Empty @ c_Inj1) @ c_Inj1)) @ c_Inj1)) @ (^[Y2 : $i]: (c_Repl @ Y2 @ c_Inj1))) @ (c_Repl @ (c_Inj1 @ Y0) @ c_Inj1))) => (X2 @ (^[Y2 : $i]: ((^[Y3 : ($i > $i) > $i]: (c_Repl @ c_Empty @ c_Inj1)))) @ (Y1 @ c_Empty @ (sK3 @ X3 @ X2 @ (c_binunion @ (c_Repl @ (c_Inj1 @ c_Empty) @ (^[Y2 : $i]: (c_Repl @ Y2 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1)))))))))) @ (sK4 @ X3 @ X2))) | ((!! @ $i @ (^[Y0 : $i]: (!! @ ($i > $i) @ (^[Y1 : $i > $i]: (~ (X4 @ (^[Y2 : $i]: ((^[Y3 : $i]: ((^[Y4 : ($i > $i) > $i > $i]: (c_Empty)))))) @ (Y1 @ c_Empty) @ Y0)))))) = $false) | ($false = (!! @ ($i > (($i > $i) > $i > $i) > $i) @ (^[Y0 : $i > (($i > $i) > $i > $i) > $i]: (!! @ (((($i > $i) > $i > $i) > ($i > $i) > $i > $i) > ($i > $i > $i) > $i) @ (^[Y1 : ((($i > $i) > $i > $i) > ($i > $i) > $i > $i) > ($i > $i > $i) > $i]: (!! @ $i @ (^[Y2 : $i]: ((c_In @ (c_Repl @ c_Empty @ c_Inj1) @ (c_binunion @ (c_Repl @ c_Empty @ (^[Y3 : $i]: (c_Repl @ Y3 @ c_Inj1))) @ (c_Repl @ (Y0 @ (c_Repl @ (c_binunion @ (c_Repl @ c_Empty @ (^[Y3 : $i]: (c_Repl @ Y3 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1)) @ c_Inj1) @ (^[Y3 : $i > $i]: ((^[Y4 : $i]: (c_Repl @ c_Empty @ c_Inj1))))) @ c_Inj1))) => ((X4 @ (^[Y3 : $i]: ((^[Y4 : $i]: ((^[Y5 : ($i > $i) > $i > $i]: (Y3)))))) @ Y2 @ (Y1 @ (^[Y3 : ($i > $i) > $i > $i]: ((^[Y4 : $i > $i]: ((^[Y5 : $i]: (c_Inj1 @ c_Empty)))))) @ (^[Y3 : $i]: ((^[Y4 : $i]: (c_Empty)))))) => (X3 @ (^[Y3 : $i]: (Y3)) @ (^[Y3 : (($i > $i) > $i) > $i]: ((^[Y4 : $i > $i > $i]: ((^[Y5 : $i]: ((^[Y6 : $i]: (Y5)))))))) @ (c_binunion @ (c_Repl @ (c_Repl @ c_Empty @ c_Inj1) @ (^[Y3 : $i]: (c_Repl @ Y3 @ c_Inj1))) @ (c_Repl @ (Y1 @ (^[Y3 : ($i > $i) > $i > $i]: ((^[Y4 : $i > $i]: ((^[Y5 : $i]: (c_Repl @ c_Empty @ c_Inj1)))))) @ (^[Y3 : $i]: ((^[Y4 : $i]: (Y4))))) @ c_Inj1)))))))))))) | ($false = (!! @ (((($i > $i) > $i > $i) > $i) > $i) @ (^[Y0 : ((($i > $i) > $i > $i) > $i) > $i]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((X1 @ (^[Y3 : $i]: ((^[Y4 : $i > $i > $i]: (c_Empty)))) @ Y2 @ (c_binunion @ (c_Repl @ (c_binunion @ (c_Repl @ (c_binunion @ (c_Repl @ (c_binunion @ (c_Repl @ c_Empty @ (^[Y3 : $i]: (c_Repl @ Y3 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1)) @ (^[Y3 : $i]: (c_Repl @ Y3 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1)) @ (^[Y3 : $i]: (c_Repl @ Y3 @ c_Inj1))) @ (c_Repl @ (c_binunion @ (c_Repl @ (c_binunion @ (c_Repl @ c_Empty @ (^[Y3 : $i]: (c_Repl @ Y3 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1)) @ (^[Y3 : $i]: (c_Repl @ Y3 @ c_Inj1))) @ (c_Repl @ (c_Repl @ c_Empty @ c_Inj1) @ c_Inj1)) @ c_Inj1)) @ (^[Y3 : $i]: (c_Repl @ Y3 @ c_Inj1))) @ (c_Repl @ (c_binunion @ (c_Repl @ c_Empty @ (^[Y3 : $i]: (c_Repl @ Y3 @ c_Inj1))) @ (c_Repl @ (c_Inj1 @ (c_binunion @ (c_Repl @ c_Empty @ (^[Y3 : $i]: (c_Repl @ Y3 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1))) @ c_Inj1)) @ c_Inj1))) => (X1 @ (^[Y3 : $i]: ((^[Y4 : $i > $i > $i]: (Y2)))) @ (c_binunion @ (c_Repl @ (Y0 @ (^[Y3 : ($i > $i) > $i > $i]: (Y2))) @ (^[Y3 : $i]: (c_Repl @ Y3 @ c_Inj1))) @ (c_Repl @ Y1 @ c_Inj1)) @ (c_Repl @ (c_Inj1 @ (c_binunion @ (c_Repl @ (c_binunion @ (c_Repl @ c_Empty @ (^[Y3 : $i]: (c_Repl @ Y3 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1)) @ (^[Y3 : $i]: (c_Repl @ Y3 @ c_Inj1))) @ (c_Repl @ (c_binunion @ (c_Repl @ c_Empty @ (^[Y3 : $i]: (c_Repl @ Y3 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1)) @ c_Inj1))) @ c_Inj1)))))))))) | ($true = (X1 @ (^[Y0 : $i]: ((^[Y1 : $i > $i > $i]: (c_Empty)))) @ c_Empty @ c_Empty)) | ($false = (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: ((c_In @ (c_Repl @ Y0 @ c_Inj1) @ (c_binunion @ (c_Repl @ (c_binunion @ (c_Repl @ Y3 @ (^[Y4 : $i]: (c_Repl @ Y4 @ c_Inj1))) @ (c_Repl @ (c_binunion @ (c_Repl @ Y1 @ (^[Y4 : $i]: (c_Repl @ Y4 @ c_Inj1))) @ (c_Repl @ (c_binunion @ (c_Repl @ c_Empty @ (^[Y4 : $i]: (c_Repl @ Y4 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1)) @ c_Inj1)) @ c_Inj1)) @ (^[Y4 : $i]: (c_Repl @ Y4 @ c_Inj1))) @ (c_Repl @ (c_Inj1 @ (c_binunion @ (c_Repl @ Y1 @ (^[Y4 : $i]: (c_Repl @ Y4 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1))) @ c_Inj1))) => ((X2 @ (^[Y4 : $i]: ((^[Y5 : ($i > $i) > $i]: (Y2)))) @ c_Empty) => (X3 @ (^[Y4 : $i]: (c_Empty)) @ (^[Y4 : (($i > $i) > $i) > $i]: ((^[Y5 : $i > $i > $i]: ((^[Y6 : $i]: ((^[Y7 : $i]: (c_binunion @ (c_Repl @ c_Empty @ (^[Y8 : $i]: (c_Repl @ Y8 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1))))))))) @ Y1)))))))))))) | ($false = (!! @ $i @ (^[Y0 : $i]: (!! @ (((($i > $i) > $i > $i) > $i) > $i) @ (^[Y1 : ((($i > $i) > $i > $i) > $i) > $i]: ((c_In @ (c_Inj1 @ c_Empty) @ Y0) => ((X2 @ (^[Y2 : $i]: ((^[Y3 : ($i > $i) > $i]: (c_Empty)))) @ c_Empty) => (X4 @ (^[Y2 : $i]: ((^[Y3 : $i]: ((^[Y4 : ($i > $i) > $i > $i]: (c_Inj1 @ c_Empty)))))) @ (c_Inj1 @ (c_Inj1 @ (Y1 @ (^[Y2 : ($i > $i) > $i > $i]: (c_Empty))))) @ (c_Inj1 @ (c_binunion @ (c_Repl @ (c_binunion @ (c_Repl @ (c_Repl @ c_Empty @ c_Inj1) @ (^[Y2 : $i]: (c_Repl @ Y2 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1)) @ (^[Y2 : $i]: (c_Repl @ Y2 @ c_Inj1))) @ (c_Repl @ (c_Inj1 @ (c_Repl @ c_Empty @ c_Inj1)) @ c_Inj1))))))))))) | ($false = (!! @ ((($i > $i > $i) > ($i > $i) > $i > $i) > $i) @ (^[Y0 : (($i > $i > $i) > ($i > $i) > $i > $i) > $i]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((c_In @ (c_Repl @ Y1 @ c_Inj1) @ (c_binunion @ (c_Repl @ (c_binunion @ (c_Repl @ c_Empty @ (^[Y3 : $i]: (c_Repl @ Y3 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1)) @ (^[Y3 : $i]: (c_Repl @ Y3 @ c_Inj1))) @ (c_Repl @ (c_binunion @ (c_Repl @ Y1 @ (^[Y3 : $i]: (c_Repl @ Y3 @ c_Inj1))) @ (c_Repl @ (c_Repl @ (c_binunion @ (c_Repl @ c_Empty @ (^[Y3 : $i]: (c_Repl @ Y3 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1)) @ c_Inj1) @ c_Inj1)) @ c_Inj1))) => ((X3 @ (^[Y3 : $i]: (c_Repl @ (c_Repl @ c_Empty @ c_Inj1) @ c_Inj1)) @ (^[Y3 : (($i > $i) > $i) > $i]: ((^[Y4 : $i > $i > $i]: ((^[Y5 : $i]: ((^[Y6 : $i]: (Y5)))))))) @ (c_binunion @ (c_Repl @ (Y0 @ (^[Y3 : $i > $i > $i]: ((^[Y4 : $i > $i]: ((^[Y5 : $i]: (c_Repl @ (c_binunion @ (c_Repl @ c_Empty @ (^[Y6 : $i]: (c_Repl @ Y6 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1)) @ c_Inj1))))))) @ (^[Y3 : $i]: (c_Repl @ Y3 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1))) => (X1 @ (^[Y3 : $i]: ((^[Y4 : $i > $i > $i]: (c_Repl @ Y3 @ c_Inj1)))) @ Y2 @ (c_binunion @ (c_Repl @ (c_binunion @ (c_Repl @ (c_binunion @ (c_Repl @ c_Empty @ (^[Y3 : $i]: (c_Repl @ Y3 @ c_Inj1))) @ (c_Repl @ (c_binunion @ (c_Repl @ c_Empty @ (^[Y3 : $i]: (c_Repl @ Y3 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1)) @ c_Inj1)) @ (^[Y3 : $i]: (c_Repl @ Y3 @ c_Inj1))) @ (c_Repl @ (c_Repl @ c_Empty @ c_Inj1) @ c_Inj1)) @ (^[Y3 : $i]: (c_Repl @ Y3 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1))))))))))))) )),
% 184.35/23.67 inference(sigma_clausification,[],[f339])).
% 184.35/23.67 thf(f339,plain,(
% 184.35/23.67 ( ! [X2 : ($i > (($i > $i) > $i) > $i) > $i > $o,X3 : ($i > $i) > (((($i > $i) > $i) > $i) > ($i > $i > $i) > $i > $i > $i) > $i > $o,X1 : ($i > ($i > $i > $i) > $i) > $i > $i > $o,X4 : ($i > $i > (($i > $i) > $i > $i) > $i) > $i > $i > $o] : (($false = (!! @ $i @ (^[Y0 : $i]: (!! @ ($i > $i > $i) @ (^[Y1 : $i > $i > $i]: ((c_In @ (c_Repl @ (c_Inj1 @ c_Empty) @ c_Inj1) @ (c_binunion @ (c_Repl @ (c_binunion @ (c_Repl @ (c_Repl @ c_Empty @ c_Inj1) @ (^[Y2 : $i]: (c_Repl @ Y2 @ c_Inj1))) @ (c_Repl @ (c_binunion @ (c_Repl @ (c_binunion @ (c_Repl @ c_Empty @ (^[Y2 : $i]: (c_Repl @ Y2 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1)) @ (^[Y2 : $i]: (c_Repl @ Y2 @ c_Inj1))) @ (c_Repl @ (c_binunion @ (c_Repl @ c_Empty @ (^[Y2 : $i]: (c_Repl @ Y2 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1)) @ c_Inj1)) @ c_Inj1)) @ (^[Y2 : $i]: (c_Repl @ Y2 @ c_Inj1))) @ (c_Repl @ (c_binunion @ (c_Repl @ c_Empty @ (^[Y2 : $i]: (c_Repl @ Y2 @ c_Inj1))) @ (c_Repl @ (c_binunion @ (c_Repl @ (c_Repl @ c_Empty @ c_Inj1) @ (^[Y2 : $i]: (c_Repl @ Y2 @ c_Inj1))) @ (c_Repl @ (Y1 @ c_Empty @ c_Empty) @ c_Inj1)) @ c_Inj1)) @ c_Inj1))) => ((X3 @ (^[Y2 : $i]: (c_Empty)) @ (^[Y2 : (($i > $i) > $i) > $i]: ((^[Y3 : $i > $i > $i]: ((^[Y4 : $i]: ((^[Y5 : $i]: (c_Empty)))))))) @ (c_binunion @ (c_Repl @ (c_binunion @ (c_Repl @ c_Empty @ (^[Y2 : $i]: (c_Repl @ Y2 @ c_Inj1))) @ (c_Repl @ (c_binunion @ (c_Repl @ (c_binunion @ (c_Repl @ c_Empty @ (^[Y2 : $i]: (c_Repl @ Y2 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1)) @ (^[Y2 : $i]: (c_Repl @ Y2 @ c_Inj1))) @ (c_Repl @ (c_Repl @ c_Empty @ c_Inj1) @ c_Inj1)) @ c_Inj1)) @ (^[Y2 : $i]: (c_Repl @ Y2 @ c_Inj1))) @ (c_Repl @ (c_Inj1 @ Y0) @ c_Inj1))) => (X2 @ (^[Y2 : $i]: ((^[Y3 : ($i > $i) > $i]: (c_Repl @ c_Empty @ c_Inj1)))) @ (Y1 @ c_Empty @ (sK3 @ X3 @ X2 @ (c_binunion @ (c_Repl @ (c_Inj1 @ c_Empty) @ (^[Y2 : $i]: (c_Repl @ Y2 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1)))))))))))) | ($false = (!! @ ((($i > $i > $i) > ($i > $i) > $i > $i) > $i) @ (^[Y0 : (($i > $i > $i) > ($i > $i) > $i > $i) > $i]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((c_In @ (c_Repl @ Y1 @ c_Inj1) @ (c_binunion @ (c_Repl @ (c_binunion @ (c_Repl @ c_Empty @ (^[Y3 : $i]: (c_Repl @ Y3 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1)) @ (^[Y3 : $i]: (c_Repl @ Y3 @ c_Inj1))) @ (c_Repl @ (c_binunion @ (c_Repl @ Y1 @ (^[Y3 : $i]: (c_Repl @ Y3 @ c_Inj1))) @ (c_Repl @ (c_Repl @ (c_binunion @ (c_Repl @ c_Empty @ (^[Y3 : $i]: (c_Repl @ Y3 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1)) @ c_Inj1) @ c_Inj1)) @ c_Inj1))) => ((X3 @ (^[Y3 : $i]: (c_Repl @ (c_Repl @ c_Empty @ c_Inj1) @ c_Inj1)) @ (^[Y3 : (($i > $i) > $i) > $i]: ((^[Y4 : $i > $i > $i]: ((^[Y5 : $i]: ((^[Y6 : $i]: (Y5)))))))) @ (c_binunion @ (c_Repl @ (Y0 @ (^[Y3 : $i > $i > $i]: ((^[Y4 : $i > $i]: ((^[Y5 : $i]: (c_Repl @ (c_binunion @ (c_Repl @ c_Empty @ (^[Y6 : $i]: (c_Repl @ Y6 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1)) @ c_Inj1))))))) @ (^[Y3 : $i]: (c_Repl @ Y3 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1))) => (X1 @ (^[Y3 : $i]: ((^[Y4 : $i > $i > $i]: (c_Repl @ Y3 @ c_Inj1)))) @ Y2 @ (c_binunion @ (c_Repl @ (c_binunion @ (c_Repl @ (c_binunion @ (c_Repl @ c_Empty @ (^[Y3 : $i]: (c_Repl @ Y3 @ c_Inj1))) @ (c_Repl @ (c_binunion @ (c_Repl @ c_Empty @ (^[Y3 : $i]: (c_Repl @ Y3 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1)) @ c_Inj1)) @ (^[Y3 : $i]: (c_Repl @ Y3 @ c_Inj1))) @ (c_Repl @ (c_Repl @ c_Empty @ c_Inj1) @ c_Inj1)) @ (^[Y3 : $i]: (c_Repl @ Y3 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1)))))))))))) | ($false = (!! @ (((($i > $i) > $i > $i) > $i) > $i) @ (^[Y0 : ((($i > $i) > $i > $i) > $i) > $i]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((X1 @ (^[Y3 : $i]: ((^[Y4 : $i > $i > $i]: (c_Empty)))) @ Y2 @ (c_binunion @ (c_Repl @ (c_binunion @ (c_Repl @ (c_binunion @ (c_Repl @ (c_binunion @ (c_Repl @ c_Empty @ (^[Y3 : $i]: (c_Repl @ Y3 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1)) @ (^[Y3 : $i]: (c_Repl @ Y3 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1)) @ (^[Y3 : $i]: (c_Repl @ Y3 @ c_Inj1))) @ (c_Repl @ (c_binunion @ (c_Repl @ (c_binunion @ (c_Repl @ c_Empty @ (^[Y3 : $i]: (c_Repl @ Y3 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1)) @ (^[Y3 : $i]: (c_Repl @ Y3 @ c_Inj1))) @ (c_Repl @ (c_Repl @ c_Empty @ c_Inj1) @ c_Inj1)) @ c_Inj1)) @ (^[Y3 : $i]: (c_Repl @ Y3 @ c_Inj1))) @ (c_Repl @ (c_binunion @ (c_Repl @ c_Empty @ (^[Y3 : $i]: (c_Repl @ Y3 @ c_Inj1))) @ (c_Repl @ (c_Inj1 @ (c_binunion @ (c_Repl @ c_Empty @ (^[Y3 : $i]: (c_Repl @ Y3 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1))) @ c_Inj1)) @ c_Inj1))) => (X1 @ (^[Y3 : $i]: ((^[Y4 : $i > $i > $i]: (Y2)))) @ (c_binunion @ (c_Repl @ (Y0 @ (^[Y3 : ($i > $i) > $i > $i]: (Y2))) @ (^[Y3 : $i]: (c_Repl @ Y3 @ c_Inj1))) @ (c_Repl @ Y1 @ c_Inj1)) @ (c_Repl @ (c_Inj1 @ (c_binunion @ (c_Repl @ (c_binunion @ (c_Repl @ c_Empty @ (^[Y3 : $i]: (c_Repl @ Y3 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1)) @ (^[Y3 : $i]: (c_Repl @ Y3 @ c_Inj1))) @ (c_Repl @ (c_binunion @ (c_Repl @ c_Empty @ (^[Y3 : $i]: (c_Repl @ Y3 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1)) @ c_Inj1))) @ c_Inj1)))))))))) | ($false = (!! @ ($i > (($i > $i) > $i > $i) > $i) @ (^[Y0 : $i > (($i > $i) > $i > $i) > $i]: (!! @ (((($i > $i) > $i > $i) > ($i > $i) > $i > $i) > ($i > $i > $i) > $i) @ (^[Y1 : ((($i > $i) > $i > $i) > ($i > $i) > $i > $i) > ($i > $i > $i) > $i]: (!! @ $i @ (^[Y2 : $i]: ((c_In @ (c_Repl @ c_Empty @ c_Inj1) @ (c_binunion @ (c_Repl @ c_Empty @ (^[Y3 : $i]: (c_Repl @ Y3 @ c_Inj1))) @ (c_Repl @ (Y0 @ (c_Repl @ (c_binunion @ (c_Repl @ c_Empty @ (^[Y3 : $i]: (c_Repl @ Y3 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1)) @ c_Inj1) @ (^[Y3 : $i > $i]: ((^[Y4 : $i]: (c_Repl @ c_Empty @ c_Inj1))))) @ c_Inj1))) => ((X4 @ (^[Y3 : $i]: ((^[Y4 : $i]: ((^[Y5 : ($i > $i) > $i > $i]: (Y3)))))) @ Y2 @ (Y1 @ (^[Y3 : ($i > $i) > $i > $i]: ((^[Y4 : $i > $i]: ((^[Y5 : $i]: (c_Inj1 @ c_Empty)))))) @ (^[Y3 : $i]: ((^[Y4 : $i]: (c_Empty)))))) => (X3 @ (^[Y3 : $i]: (Y3)) @ (^[Y3 : (($i > $i) > $i) > $i]: ((^[Y4 : $i > $i > $i]: ((^[Y5 : $i]: ((^[Y6 : $i]: (Y5)))))))) @ (c_binunion @ (c_Repl @ (c_Repl @ c_Empty @ c_Inj1) @ (^[Y3 : $i]: (c_Repl @ Y3 @ c_Inj1))) @ (c_Repl @ (Y1 @ (^[Y3 : ($i > $i) > $i > $i]: ((^[Y4 : $i > $i]: ((^[Y5 : $i]: (c_Repl @ c_Empty @ c_Inj1)))))) @ (^[Y3 : $i]: ((^[Y4 : $i]: (Y4))))) @ c_Inj1)))))))))))) | ($false = (!! @ $i @ (^[Y0 : $i]: (!! @ (((($i > $i) > $i > $i) > $i) > $i) @ (^[Y1 : ((($i > $i) > $i > $i) > $i) > $i]: ((c_In @ (c_Inj1 @ c_Empty) @ Y0) => ((X2 @ (^[Y2 : $i]: ((^[Y3 : ($i > $i) > $i]: (c_Empty)))) @ c_Empty) => (X4 @ (^[Y2 : $i]: ((^[Y3 : $i]: ((^[Y4 : ($i > $i) > $i > $i]: (c_Inj1 @ c_Empty)))))) @ (c_Inj1 @ (c_Inj1 @ (Y1 @ (^[Y2 : ($i > $i) > $i > $i]: (c_Empty))))) @ (c_Inj1 @ (c_binunion @ (c_Repl @ (c_binunion @ (c_Repl @ (c_Repl @ c_Empty @ c_Inj1) @ (^[Y2 : $i]: (c_Repl @ Y2 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1)) @ (^[Y2 : $i]: (c_Repl @ Y2 @ c_Inj1))) @ (c_Repl @ (c_Inj1 @ (c_Repl @ c_Empty @ c_Inj1)) @ c_Inj1))))))))))) | ($true = (X1 @ (^[Y0 : $i]: ((^[Y1 : $i > $i > $i]: (c_Empty)))) @ c_Empty @ c_Empty)) | ((!! @ $i @ (^[Y0 : $i]: (!! @ ($i > $i) @ (^[Y1 : $i > $i]: (~ (X4 @ (^[Y2 : $i]: ((^[Y3 : $i]: ((^[Y4 : ($i > $i) > $i > $i]: (c_Empty)))))) @ (Y1 @ c_Empty) @ Y0)))))) = $false) | ($false = (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: ((c_In @ (c_Repl @ Y0 @ c_Inj1) @ (c_binunion @ (c_Repl @ (c_binunion @ (c_Repl @ Y3 @ (^[Y4 : $i]: (c_Repl @ Y4 @ c_Inj1))) @ (c_Repl @ (c_binunion @ (c_Repl @ Y1 @ (^[Y4 : $i]: (c_Repl @ Y4 @ c_Inj1))) @ (c_Repl @ (c_binunion @ (c_Repl @ c_Empty @ (^[Y4 : $i]: (c_Repl @ Y4 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1)) @ c_Inj1)) @ c_Inj1)) @ (^[Y4 : $i]: (c_Repl @ Y4 @ c_Inj1))) @ (c_Repl @ (c_Inj1 @ (c_binunion @ (c_Repl @ Y1 @ (^[Y4 : $i]: (c_Repl @ Y4 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1))) @ c_Inj1))) => ((X2 @ (^[Y4 : $i]: ((^[Y5 : ($i > $i) > $i]: (Y2)))) @ c_Empty) => (X3 @ (^[Y4 : $i]: (c_Empty)) @ (^[Y4 : (($i > $i) > $i) > $i]: ((^[Y5 : $i > $i > $i]: ((^[Y6 : $i]: ((^[Y7 : $i]: (c_binunion @ (c_Repl @ c_Empty @ (^[Y8 : $i]: (c_Repl @ Y8 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1))))))))) @ Y1))))))))))))) )),
% 184.35/23.67 inference(beta_eta_normalization,[],[f338])).
% 184.35/23.67 thf(f338,plain,(
% 184.35/23.67 ( ! [X2 : ($i > (($i > $i) > $i) > $i) > $i > $o,X3 : ($i > $i) > (((($i > $i) > $i) > $i) > ($i > $i > $i) > $i > $i > $i) > $i > $o,X1 : ($i > ($i > $i > $i) > $i) > $i > $i > $o,X4 : ($i > $i > (($i > $i) > $i > $i) > $i) > $i > $i > $o] : (($false = (!! @ ((($i > $i > $i) > ($i > $i) > $i > $i) > $i) @ (^[Y0 : (($i > $i > $i) > ($i > $i) > $i > $i) > $i]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((c_In @ (c_Repl @ Y1 @ c_Inj1) @ (c_binunion @ (c_Repl @ (c_binunion @ (c_Repl @ c_Empty @ (^[Y3 : $i]: (c_Repl @ Y3 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1)) @ (^[Y3 : $i]: (c_Repl @ Y3 @ c_Inj1))) @ (c_Repl @ (c_binunion @ (c_Repl @ Y1 @ (^[Y3 : $i]: (c_Repl @ Y3 @ c_Inj1))) @ (c_Repl @ (c_Repl @ (c_binunion @ (c_Repl @ c_Empty @ (^[Y3 : $i]: (c_Repl @ Y3 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1)) @ c_Inj1) @ c_Inj1)) @ c_Inj1))) => ((X3 @ (^[Y3 : $i]: (c_Repl @ (c_Repl @ c_Empty @ c_Inj1) @ c_Inj1)) @ (^[Y3 : (($i > $i) > $i) > $i]: ((^[Y4 : $i > $i > $i]: ((^[Y5 : $i]: ((^[Y6 : $i]: (Y5)))))))) @ (c_binunion @ (c_Repl @ (Y0 @ (^[Y3 : $i > $i > $i]: ((^[Y4 : $i > $i]: ((^[Y5 : $i]: (c_Repl @ (c_binunion @ (c_Repl @ c_Empty @ (^[Y6 : $i]: (c_Repl @ Y6 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1)) @ c_Inj1))))))) @ (^[Y3 : $i]: (c_Repl @ Y3 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1))) => (X1 @ (^[Y3 : $i]: ((^[Y4 : $i > $i > $i]: (c_Repl @ Y3 @ c_Inj1)))) @ Y2 @ (c_binunion @ (c_Repl @ (c_binunion @ (c_Repl @ (c_binunion @ (c_Repl @ c_Empty @ (^[Y3 : $i]: (c_Repl @ Y3 @ c_Inj1))) @ (c_Repl @ (c_binunion @ (c_Repl @ c_Empty @ (^[Y3 : $i]: (c_Repl @ Y3 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1)) @ c_Inj1)) @ (^[Y3 : $i]: (c_Repl @ Y3 @ c_Inj1))) @ (c_Repl @ (c_Repl @ c_Empty @ c_Inj1) @ c_Inj1)) @ (^[Y3 : $i]: (c_Repl @ Y3 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1)))))))))))) | ($true = (X1 @ (^[Y0 : $i]: ((^[Y1 : $i > $i > $i]: (c_Empty)))) @ c_Empty @ c_Empty)) | ((!! @ $i @ (^[Y0 : $i]: (!! @ ($i > $i) @ (^[Y1 : $i > $i]: (~ (X4 @ (^[Y2 : $i]: ((^[Y3 : $i]: ((^[Y4 : ($i > $i) > $i > $i]: (c_Empty)))))) @ (Y1 @ c_Empty) @ Y0)))))) = $false) | ($false = (!! @ ($i > (($i > $i) > $i > $i) > $i) @ (^[Y0 : $i > (($i > $i) > $i > $i) > $i]: (!! @ (((($i > $i) > $i > $i) > ($i > $i) > $i > $i) > ($i > $i > $i) > $i) @ (^[Y1 : ((($i > $i) > $i > $i) > ($i > $i) > $i > $i) > ($i > $i > $i) > $i]: (!! @ $i @ (^[Y2 : $i]: ((c_In @ (c_Repl @ c_Empty @ c_Inj1) @ (c_binunion @ (c_Repl @ c_Empty @ (^[Y3 : $i]: (c_Repl @ Y3 @ c_Inj1))) @ (c_Repl @ (Y0 @ (c_Repl @ (c_binunion @ (c_Repl @ c_Empty @ (^[Y3 : $i]: (c_Repl @ Y3 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1)) @ c_Inj1) @ (^[Y3 : $i > $i]: ((^[Y4 : $i]: (c_Repl @ c_Empty @ c_Inj1))))) @ c_Inj1))) => ((X4 @ (^[Y3 : $i]: ((^[Y4 : $i]: ((^[Y5 : ($i > $i) > $i > $i]: (Y3)))))) @ Y2 @ (Y1 @ (^[Y3 : ($i > $i) > $i > $i]: ((^[Y4 : $i > $i]: ((^[Y5 : $i]: (c_Inj1 @ c_Empty)))))) @ (^[Y3 : $i]: ((^[Y4 : $i]: (c_Empty)))))) => (X3 @ (^[Y3 : $i]: (Y3)) @ (^[Y3 : (($i > $i) > $i) > $i]: ((^[Y4 : $i > $i > $i]: ((^[Y5 : $i]: ((^[Y6 : $i]: (Y5)))))))) @ (c_binunion @ (c_Repl @ (c_Repl @ c_Empty @ c_Inj1) @ (^[Y3 : $i]: (c_Repl @ Y3 @ c_Inj1))) @ (c_Repl @ (Y1 @ (^[Y3 : ($i > $i) > $i > $i]: ((^[Y4 : $i > $i]: ((^[Y5 : $i]: (c_Repl @ c_Empty @ c_Inj1)))))) @ (^[Y3 : $i]: ((^[Y4 : $i]: (Y4))))) @ c_Inj1)))))))))))) | ($false = (!! @ $i @ (^[Y0 : $i]: (!! @ (((($i > $i) > $i > $i) > $i) > $i) @ (^[Y1 : ((($i > $i) > $i > $i) > $i) > $i]: ((c_In @ (c_Inj1 @ c_Empty) @ Y0) => ((X2 @ (^[Y2 : $i]: ((^[Y3 : ($i > $i) > $i]: (c_Empty)))) @ c_Empty) => (X4 @ (^[Y2 : $i]: ((^[Y3 : $i]: ((^[Y4 : ($i > $i) > $i > $i]: (c_Inj1 @ c_Empty)))))) @ (c_Inj1 @ (c_Inj1 @ (Y1 @ (^[Y2 : ($i > $i) > $i > $i]: (c_Empty))))) @ (c_Inj1 @ (c_binunion @ (c_Repl @ (c_binunion @ (c_Repl @ (c_Repl @ c_Empty @ c_Inj1) @ (^[Y2 : $i]: (c_Repl @ Y2 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1)) @ (^[Y2 : $i]: (c_Repl @ Y2 @ c_Inj1))) @ (c_Repl @ (c_Inj1 @ (c_Repl @ c_Empty @ c_Inj1)) @ c_Inj1))))))))))) | ($false = (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: ((c_In @ (c_Repl @ Y0 @ c_Inj1) @ (c_binunion @ (c_Repl @ (c_binunion @ (c_Repl @ Y3 @ (^[Y4 : $i]: (c_Repl @ Y4 @ c_Inj1))) @ (c_Repl @ (c_binunion @ (c_Repl @ Y1 @ (^[Y4 : $i]: (c_Repl @ Y4 @ c_Inj1))) @ (c_Repl @ (c_binunion @ (c_Repl @ c_Empty @ (^[Y4 : $i]: (c_Repl @ Y4 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1)) @ c_Inj1)) @ c_Inj1)) @ (^[Y4 : $i]: (c_Repl @ Y4 @ c_Inj1))) @ (c_Repl @ (c_Inj1 @ (c_binunion @ (c_Repl @ Y1 @ (^[Y4 : $i]: (c_Repl @ Y4 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1))) @ c_Inj1))) => ((X2 @ (^[Y4 : $i]: ((^[Y5 : ($i > $i) > $i]: (Y2)))) @ c_Empty) => (X3 @ (^[Y4 : $i]: (c_Empty)) @ (^[Y4 : (($i > $i) > $i) > $i]: ((^[Y5 : $i > $i > $i]: ((^[Y6 : $i]: ((^[Y7 : $i]: (c_binunion @ (c_Repl @ c_Empty @ (^[Y8 : $i]: (c_Repl @ Y8 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1))))))))) @ Y1)))))))))))) | ($false = (!! @ (((($i > $i) > $i > $i) > $i) > $i) @ (^[Y0 : ((($i > $i) > $i > $i) > $i) > $i]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((X1 @ (^[Y3 : $i]: ((^[Y4 : $i > $i > $i]: (c_Empty)))) @ Y2 @ (c_binunion @ (c_Repl @ (c_binunion @ (c_Repl @ (c_binunion @ (c_Repl @ (c_binunion @ (c_Repl @ c_Empty @ (^[Y3 : $i]: (c_Repl @ Y3 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1)) @ (^[Y3 : $i]: (c_Repl @ Y3 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1)) @ (^[Y3 : $i]: (c_Repl @ Y3 @ c_Inj1))) @ (c_Repl @ (c_binunion @ (c_Repl @ (c_binunion @ (c_Repl @ c_Empty @ (^[Y3 : $i]: (c_Repl @ Y3 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1)) @ (^[Y3 : $i]: (c_Repl @ Y3 @ c_Inj1))) @ (c_Repl @ (c_Repl @ c_Empty @ c_Inj1) @ c_Inj1)) @ c_Inj1)) @ (^[Y3 : $i]: (c_Repl @ Y3 @ c_Inj1))) @ (c_Repl @ (c_binunion @ (c_Repl @ c_Empty @ (^[Y3 : $i]: (c_Repl @ Y3 @ c_Inj1))) @ (c_Repl @ (c_Inj1 @ (c_binunion @ (c_Repl @ c_Empty @ (^[Y3 : $i]: (c_Repl @ Y3 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1))) @ c_Inj1)) @ c_Inj1))) => (X1 @ (^[Y3 : $i]: ((^[Y4 : $i > $i > $i]: (Y2)))) @ (c_binunion @ (c_Repl @ (Y0 @ (^[Y3 : ($i > $i) > $i > $i]: (Y2))) @ (^[Y3 : $i]: (c_Repl @ Y3 @ c_Inj1))) @ (c_Repl @ Y1 @ c_Inj1)) @ (c_Repl @ (c_Inj1 @ (c_binunion @ (c_Repl @ (c_binunion @ (c_Repl @ c_Empty @ (^[Y3 : $i]: (c_Repl @ Y3 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1)) @ (^[Y3 : $i]: (c_Repl @ Y3 @ c_Inj1))) @ (c_Repl @ (c_binunion @ (c_Repl @ c_Empty @ (^[Y3 : $i]: (c_Repl @ Y3 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1)) @ c_Inj1))) @ c_Inj1)))))))))) | (((^[Y0 : $i > $i]: (!! @ $i @ (^[Y1 : $i]: (!! @ ($i > $i > $i) @ (^[Y2 : $i > $i > $i]: ((c_In @ (c_Repl @ (c_Inj1 @ c_Empty) @ c_Inj1) @ (c_binunion @ (c_Repl @ (c_binunion @ (c_Repl @ (c_Repl @ c_Empty @ c_Inj1) @ (^[Y3 : $i]: (c_Repl @ Y3 @ c_Inj1))) @ (c_Repl @ (c_binunion @ (c_Repl @ (c_binunion @ (c_Repl @ c_Empty @ (^[Y3 : $i]: (c_Repl @ Y3 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1)) @ (^[Y3 : $i]: (c_Repl @ Y3 @ c_Inj1))) @ (c_Repl @ (c_binunion @ (c_Repl @ c_Empty @ (^[Y3 : $i]: (c_Repl @ Y3 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1)) @ c_Inj1)) @ c_Inj1)) @ (^[Y3 : $i]: (c_Repl @ Y3 @ c_Inj1))) @ (c_Repl @ (c_binunion @ (c_Repl @ c_Empty @ (^[Y3 : $i]: (c_Repl @ Y3 @ c_Inj1))) @ (c_Repl @ (c_binunion @ (c_Repl @ (c_Repl @ c_Empty @ c_Inj1) @ (^[Y3 : $i]: (c_Repl @ Y3 @ c_Inj1))) @ (c_Repl @ (Y2 @ c_Empty @ c_Empty) @ c_Inj1)) @ c_Inj1)) @ c_Inj1))) => ((X3 @ (^[Y3 : $i]: (c_Empty)) @ (^[Y3 : (($i > $i) > $i) > $i]: ((^[Y4 : $i > $i > $i]: ((^[Y5 : $i]: ((^[Y6 : $i]: (c_Empty)))))))) @ (c_binunion @ (c_Repl @ (c_binunion @ (c_Repl @ c_Empty @ (^[Y3 : $i]: (c_Repl @ Y3 @ c_Inj1))) @ (c_Repl @ (c_binunion @ (c_Repl @ (c_binunion @ (c_Repl @ c_Empty @ (^[Y3 : $i]: (c_Repl @ Y3 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1)) @ (^[Y3 : $i]: (c_Repl @ Y3 @ c_Inj1))) @ (c_Repl @ (c_Repl @ c_Empty @ c_Inj1) @ c_Inj1)) @ c_Inj1)) @ (^[Y3 : $i]: (c_Repl @ Y3 @ c_Inj1))) @ (c_Repl @ (c_Inj1 @ Y1) @ c_Inj1))) => (X2 @ (^[Y3 : $i]: ((^[Y4 : ($i > $i) > $i]: (c_Repl @ c_Empty @ c_Inj1)))) @ (Y2 @ c_Empty @ (Y0 @ (c_binunion @ (c_Repl @ (c_Inj1 @ c_Empty) @ (^[Y3 : $i]: (c_Repl @ Y3 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1)))))))))))) @ (sK3 @ X3 @ X2)) = $false)) )),
% 184.35/23.67 inference(sigma_clausification,[],[f337])).
% 184.35/23.67 thf(f337,plain,(
% 184.35/23.67 ( ! [X2 : ($i > (($i > $i) > $i) > $i) > $i > $o,X3 : ($i > $i) > (((($i > $i) > $i) > $i) > ($i > $i > $i) > $i > $i > $i) > $i > $o,X1 : ($i > ($i > $i > $i) > $i) > $i > $i > $o,X4 : ($i > $i > (($i > $i) > $i > $i) > $i) > $i > $i > $o] : (($false = (!! @ ($i > $i) @ (^[Y0 : $i > $i]: (!! @ $i @ (^[Y1 : $i]: (!! @ ($i > $i > $i) @ (^[Y2 : $i > $i > $i]: ((c_In @ (c_Repl @ (c_Inj1 @ c_Empty) @ c_Inj1) @ (c_binunion @ (c_Repl @ (c_binunion @ (c_Repl @ (c_Repl @ c_Empty @ c_Inj1) @ (^[Y3 : $i]: (c_Repl @ Y3 @ c_Inj1))) @ (c_Repl @ (c_binunion @ (c_Repl @ (c_binunion @ (c_Repl @ c_Empty @ (^[Y3 : $i]: (c_Repl @ Y3 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1)) @ (^[Y3 : $i]: (c_Repl @ Y3 @ c_Inj1))) @ (c_Repl @ (c_binunion @ (c_Repl @ c_Empty @ (^[Y3 : $i]: (c_Repl @ Y3 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1)) @ c_Inj1)) @ c_Inj1)) @ (^[Y3 : $i]: (c_Repl @ Y3 @ c_Inj1))) @ (c_Repl @ (c_binunion @ (c_Repl @ c_Empty @ (^[Y3 : $i]: (c_Repl @ Y3 @ c_Inj1))) @ (c_Repl @ (c_binunion @ (c_Repl @ (c_Repl @ c_Empty @ c_Inj1) @ (^[Y3 : $i]: (c_Repl @ Y3 @ c_Inj1))) @ (c_Repl @ (Y2 @ c_Empty @ c_Empty) @ c_Inj1)) @ c_Inj1)) @ c_Inj1))) => ((X3 @ (^[Y3 : $i]: (c_Empty)) @ (^[Y3 : (($i > $i) > $i) > $i]: ((^[Y4 : $i > $i > $i]: ((^[Y5 : $i]: ((^[Y6 : $i]: (c_Empty)))))))) @ (c_binunion @ (c_Repl @ (c_binunion @ (c_Repl @ c_Empty @ (^[Y3 : $i]: (c_Repl @ Y3 @ c_Inj1))) @ (c_Repl @ (c_binunion @ (c_Repl @ (c_binunion @ (c_Repl @ c_Empty @ (^[Y3 : $i]: (c_Repl @ Y3 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1)) @ (^[Y3 : $i]: (c_Repl @ Y3 @ c_Inj1))) @ (c_Repl @ (c_Repl @ c_Empty @ c_Inj1) @ c_Inj1)) @ c_Inj1)) @ (^[Y3 : $i]: (c_Repl @ Y3 @ c_Inj1))) @ (c_Repl @ (c_Inj1 @ Y1) @ c_Inj1))) => (X2 @ (^[Y3 : $i]: ((^[Y4 : ($i > $i) > $i]: (c_Repl @ c_Empty @ c_Inj1)))) @ (Y2 @ c_Empty @ (Y0 @ (c_binunion @ (c_Repl @ (c_Inj1 @ c_Empty) @ (^[Y3 : $i]: (c_Repl @ Y3 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1)))))))))))))) | ($false = (!! 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@ (((($i > $i) > $i > $i) > $i) > $i) @ (^[Y0 : ((($i > $i) > $i > $i) > $i) > $i]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((X1 @ (^[Y3 : $i]: ((^[Y4 : $i > $i > $i]: (c_Empty)))) @ Y2 @ (c_binunion @ (c_Repl @ (c_binunion @ (c_Repl @ (c_binunion @ (c_Repl @ (c_binunion @ (c_Repl @ c_Empty @ (^[Y3 : $i]: (c_Repl @ Y3 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1)) @ (^[Y3 : $i]: (c_Repl @ Y3 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1)) @ (^[Y3 : $i]: (c_Repl @ Y3 @ c_Inj1))) @ (c_Repl @ (c_binunion @ (c_Repl @ (c_binunion @ (c_Repl @ c_Empty @ (^[Y3 : $i]: (c_Repl @ Y3 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1)) @ (^[Y3 : $i]: (c_Repl @ Y3 @ c_Inj1))) @ (c_Repl @ (c_Repl @ c_Empty @ c_Inj1) @ c_Inj1)) @ c_Inj1)) @ (^[Y3 : $i]: (c_Repl @ Y3 @ c_Inj1))) @ (c_Repl @ (c_binunion @ (c_Repl @ c_Empty @ (^[Y3 : $i]: (c_Repl @ Y3 @ c_Inj1))) @ (c_Repl @ (c_Inj1 @ (c_binunion @ (c_Repl @ c_Empty @ (^[Y3 : $i]: (c_Repl @ Y3 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1))) @ c_Inj1)) @ c_Inj1))) => (X1 @ (^[Y3 : $i]: ((^[Y4 : $i > $i > $i]: (Y2)))) @ (c_binunion @ (c_Repl @ (Y0 @ (^[Y3 : ($i > $i) > $i > $i]: (Y2))) @ (^[Y3 : $i]: (c_Repl @ Y3 @ c_Inj1))) @ (c_Repl @ Y1 @ c_Inj1)) @ (c_Repl @ (c_Inj1 @ (c_binunion @ (c_Repl @ (c_binunion @ (c_Repl @ c_Empty @ (^[Y3 : $i]: (c_Repl @ Y3 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1)) @ (^[Y3 : $i]: (c_Repl @ Y3 @ c_Inj1))) @ (c_Repl @ (c_binunion @ (c_Repl @ c_Empty @ (^[Y3 : $i]: (c_Repl @ Y3 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1)) @ c_Inj1))) @ c_Inj1)))))))))) | ($false = (!! @ ($i > (($i > $i) > $i > $i) > $i) @ (^[Y0 : $i > (($i > $i) > $i > $i) > $i]: (!! @ (((($i > $i) > $i > $i) > ($i > $i) > $i > $i) > ($i > $i > $i) > $i) @ (^[Y1 : ((($i > $i) > $i > $i) > ($i > $i) > $i > $i) > ($i > $i > $i) > $i]: (!! @ $i @ (^[Y2 : $i]: ((c_In @ (c_Repl @ c_Empty @ c_Inj1) @ (c_binunion @ (c_Repl @ c_Empty @ (^[Y3 : $i]: (c_Repl @ Y3 @ c_Inj1))) @ (c_Repl @ (Y0 @ (c_Repl @ (c_binunion @ (c_Repl @ c_Empty @ (^[Y3 : $i]: (c_Repl @ Y3 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1)) @ c_Inj1) @ (^[Y3 : $i > $i]: ((^[Y4 : $i]: (c_Repl @ c_Empty @ c_Inj1))))) @ c_Inj1))) => ((X4 @ (^[Y3 : $i]: ((^[Y4 : $i]: ((^[Y5 : ($i > $i) > $i > $i]: (Y3)))))) @ Y2 @ (Y1 @ (^[Y3 : ($i > $i) > $i > $i]: ((^[Y4 : $i > $i]: ((^[Y5 : $i]: (c_Inj1 @ c_Empty)))))) @ (^[Y3 : $i]: ((^[Y4 : $i]: (c_Empty)))))) => (X3 @ (^[Y3 : $i]: (Y3)) @ (^[Y3 : (($i > $i) > $i) > $i]: ((^[Y4 : $i > $i > $i]: ((^[Y5 : $i]: ((^[Y6 : $i]: (Y5)))))))) @ (c_binunion @ (c_Repl @ (c_Repl @ c_Empty @ c_Inj1) @ (^[Y3 : $i]: (c_Repl @ Y3 @ c_Inj1))) @ (c_Repl @ (Y1 @ (^[Y3 : ($i > $i) > $i > $i]: ((^[Y4 : $i > $i]: ((^[Y5 : $i]: (c_Repl @ c_Empty @ c_Inj1)))))) @ (^[Y3 : $i]: ((^[Y4 : $i]: (Y4))))) @ c_Inj1)))))))))))) | ($false = (!! @ $i @ (^[Y0 : $i]: (!! @ (((($i > $i) > $i > $i) > $i) > $i) @ (^[Y1 : ((($i > $i) > $i > $i) > $i) > $i]: ((c_In @ (c_Inj1 @ c_Empty) @ Y0) => ((X2 @ (^[Y2 : $i]: ((^[Y3 : ($i > $i) > $i]: (c_Empty)))) @ c_Empty) => (X4 @ (^[Y2 : $i]: ((^[Y3 : $i]: ((^[Y4 : ($i > $i) > $i > $i]: (c_Inj1 @ c_Empty)))))) @ (c_Inj1 @ (c_Inj1 @ (Y1 @ (^[Y2 : ($i > $i) > $i > $i]: (c_Empty))))) @ (c_Inj1 @ (c_binunion @ (c_Repl @ (c_binunion @ (c_Repl @ (c_Repl @ c_Empty @ c_Inj1) @ (^[Y2 : $i]: (c_Repl @ Y2 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1)) @ (^[Y2 : $i]: (c_Repl @ Y2 @ c_Inj1))) @ (c_Repl @ (c_Inj1 @ (c_Repl @ c_Empty @ c_Inj1)) @ c_Inj1))))))))))) | ((!! @ $i @ (^[Y0 : $i]: (!! @ ($i > $i) @ (^[Y1 : $i > $i]: (~ (X4 @ (^[Y2 : $i]: ((^[Y3 : $i]: ((^[Y4 : ($i > $i) > $i > $i]: (c_Empty)))))) @ (Y1 @ c_Empty) @ Y0)))))) = $false) | ($true = (X1 @ (^[Y0 : $i]: ((^[Y1 : $i > $i > $i]: (c_Empty)))) @ c_Empty @ c_Empty)) | ($false = (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: ((c_In @ (c_Repl @ Y0 @ c_Inj1) @ (c_binunion @ (c_Repl @ (c_binunion @ (c_Repl @ Y3 @ (^[Y4 : $i]: (c_Repl @ Y4 @ c_Inj1))) @ (c_Repl @ (c_binunion @ (c_Repl @ Y1 @ (^[Y4 : $i]: (c_Repl @ Y4 @ c_Inj1))) @ (c_Repl @ (c_binunion @ (c_Repl @ c_Empty @ (^[Y4 : $i]: (c_Repl @ Y4 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1)) @ c_Inj1)) @ c_Inj1)) @ (^[Y4 : $i]: (c_Repl @ Y4 @ c_Inj1))) @ (c_Repl @ (c_Inj1 @ (c_binunion @ (c_Repl @ Y1 @ (^[Y4 : $i]: (c_Repl @ Y4 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1))) @ c_Inj1))) => ((X2 @ (^[Y4 : $i]: ((^[Y5 : ($i > $i) > $i]: (Y2)))) @ c_Empty) => (X3 @ (^[Y4 : $i]: (c_Empty)) @ (^[Y4 : (($i > $i) > $i) > $i]: ((^[Y5 : $i > $i > $i]: ((^[Y6 : $i]: ((^[Y7 : $i]: (c_binunion @ (c_Repl @ c_Empty @ (^[Y8 : $i]: (c_Repl @ Y8 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1))))))))) @ Y1))))))))))))) )),
% 184.35/23.67 inference(binary_proxy_clausification,[],[f335])).
% 184.35/23.67 thf(f335,plain,(
% 184.35/23.67 ( ! [X2 : ($i > (($i > $i) > $i) > $i) > $i > $o,X3 : ($i > $i) > (((($i > $i) > $i) > $i) > ($i > $i > $i) > $i > $i > $i) > $i > $o,X1 : ($i > ($i > $i > $i) > $i) > $i > $i > $o,X4 : ($i > $i > (($i > $i) > $i > $i) > $i) > $i > $i > $o] : (($false = ((X1 @ (^[Y0 : $i]: ((^[Y1 : $i > $i > $i]: (c_Empty)))) @ c_Empty @ c_Empty) => (X2 @ (^[Y0 : $i]: ((^[Y1 : ($i > $i) > $i]: (Y1 @ (^[Y2 : $i]: (c_binunion @ (c_Repl @ (c_Inj1 @ (c_Repl @ c_Empty @ c_Inj1)) @ (^[Y3 : $i]: (c_Repl @ Y3 @ c_Inj1))) @ (c_Repl @ (c_binunion @ (c_Repl @ c_Empty @ (^[Y3 : $i]: (c_Repl @ Y3 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1)) @ c_Inj1))))))) @ c_Empty))) | ((!! @ $i @ (^[Y0 : $i]: (!! @ ($i > $i) @ (^[Y1 : $i > $i]: (~ (X4 @ (^[Y2 : $i]: ((^[Y3 : $i]: ((^[Y4 : ($i > $i) > $i > $i]: (c_Empty)))))) @ (Y1 @ c_Empty) @ Y0)))))) = $false) | ($false = (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: ((c_In @ (c_Repl @ Y0 @ c_Inj1) @ (c_binunion @ (c_Repl @ (c_binunion @ (c_Repl @ Y3 @ (^[Y4 : $i]: (c_Repl @ Y4 @ c_Inj1))) @ (c_Repl @ (c_binunion @ (c_Repl @ Y1 @ (^[Y4 : $i]: (c_Repl @ Y4 @ c_Inj1))) @ (c_Repl @ (c_binunion @ (c_Repl @ c_Empty @ (^[Y4 : $i]: (c_Repl @ Y4 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1)) @ c_Inj1)) @ c_Inj1)) @ (^[Y4 : $i]: (c_Repl @ Y4 @ c_Inj1))) @ (c_Repl @ (c_Inj1 @ (c_binunion @ (c_Repl @ Y1 @ (^[Y4 : $i]: (c_Repl @ Y4 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1))) @ c_Inj1))) => ((X2 @ (^[Y4 : $i]: ((^[Y5 : ($i > $i) > $i]: (Y2)))) @ c_Empty) => (X3 @ (^[Y4 : $i]: (c_Empty)) @ (^[Y4 : (($i > $i) > $i) > $i]: ((^[Y5 : $i > $i > $i]: ((^[Y6 : $i]: ((^[Y7 : $i]: (c_binunion @ (c_Repl @ c_Empty @ (^[Y8 : $i]: (c_Repl @ Y8 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1))))))))) @ Y1)))))))))))) | ($false = (!! 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@ ((($i > $i > $i) > ($i > $i) > $i > $i) > $i) @ (^[Y0 : (($i > $i > $i) > ($i > $i) > $i > $i) > $i]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((c_In @ (c_Repl @ Y1 @ c_Inj1) @ (c_binunion @ (c_Repl @ (c_binunion @ (c_Repl @ c_Empty @ (^[Y3 : $i]: (c_Repl @ Y3 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1)) @ (^[Y3 : $i]: (c_Repl @ Y3 @ c_Inj1))) @ (c_Repl @ (c_binunion @ (c_Repl @ Y1 @ (^[Y3 : $i]: (c_Repl @ Y3 @ c_Inj1))) @ (c_Repl @ (c_Repl @ (c_binunion @ (c_Repl @ c_Empty @ (^[Y3 : $i]: (c_Repl @ Y3 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1)) @ c_Inj1) @ c_Inj1)) @ c_Inj1))) => ((X3 @ (^[Y3 : $i]: (c_Repl @ (c_Repl @ c_Empty @ c_Inj1) @ c_Inj1)) @ (^[Y3 : (($i > $i) > $i) > $i]: ((^[Y4 : $i > $i > $i]: ((^[Y5 : $i]: ((^[Y6 : $i]: (Y5)))))))) @ (c_binunion @ (c_Repl @ (Y0 @ (^[Y3 : $i > $i > $i]: ((^[Y4 : $i > $i]: ((^[Y5 : $i]: (c_Repl @ (c_binunion @ (c_Repl @ c_Empty @ (^[Y6 : $i]: (c_Repl @ Y6 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1)) @ c_Inj1))))))) @ (^[Y3 : $i]: (c_Repl @ Y3 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1))) => (X1 @ (^[Y3 : $i]: ((^[Y4 : $i > $i > $i]: (c_Repl @ Y3 @ c_Inj1)))) @ Y2 @ (c_binunion @ (c_Repl @ (c_binunion @ (c_Repl @ (c_binunion @ (c_Repl @ c_Empty @ (^[Y3 : $i]: (c_Repl @ Y3 @ c_Inj1))) @ (c_Repl @ (c_binunion @ (c_Repl @ c_Empty @ (^[Y3 : $i]: (c_Repl @ Y3 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1)) @ c_Inj1)) @ (^[Y3 : $i]: (c_Repl @ Y3 @ c_Inj1))) @ (c_Repl @ (c_Repl @ c_Empty @ c_Inj1) @ c_Inj1)) @ (^[Y3 : $i]: (c_Repl @ Y3 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1))))))))))))) )),
% 184.35/23.67 inference(not_proxy_clausification,[],[f334])).
% 184.35/23.67 thf(f334,plain,(
% 184.35/23.67 ( ! 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% 184.35/23.67 inference(binary_proxy_clausification,[],[f333])).
% 184.35/23.67 thf(f333,plain,(
% 184.35/23.67 ( ! [X2 : ($i > (($i > $i) > $i) > $i) > $i > $o,X3 : ($i > $i) > (((($i > $i) > $i) > $i) > ($i > $i > $i) > $i > $i > $i) > $i > $o,X1 : ($i > ($i > $i > $i) > $i) > $i > $i > $o,X4 : ($i > $i > (($i > $i) > $i > $i) > $i) > $i > $i > $o] : (($true = ((!! @ $i @ (^[Y0 : $i]: (!! @ (((($i > $i) > $i > $i) > $i) > $i) @ (^[Y1 : ((($i > $i) > $i > $i) > $i) > $i]: ((c_In @ (c_Inj1 @ c_Empty) @ Y0) => ((X2 @ (^[Y2 : $i]: ((^[Y3 : ($i > $i) > $i]: (c_Empty)))) @ c_Empty) => (X4 @ (^[Y2 : $i]: ((^[Y3 : $i]: ((^[Y4 : ($i > $i) > $i > $i]: (c_Inj1 @ c_Empty)))))) @ (c_Inj1 @ (c_Inj1 @ (Y1 @ (^[Y2 : ($i > $i) > $i > $i]: (c_Empty))))) @ (c_Inj1 @ (c_binunion @ (c_Repl @ (c_binunion @ (c_Repl @ (c_Repl @ c_Empty @ c_Inj1) @ (^[Y2 : $i]: (c_Repl @ Y2 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1)) @ (^[Y2 : $i]: (c_Repl @ Y2 @ c_Inj1))) @ (c_Repl @ (c_Inj1 @ (c_Repl @ c_Empty @ c_Inj1)) @ c_Inj1)))))))))) => (~ (!! @ $i @ (^[Y0 : $i]: (!! @ ($i > $i) @ (^[Y1 : $i > $i]: (~ (X4 @ (^[Y2 : $i]: ((^[Y3 : $i]: ((^[Y4 : ($i > $i) > $i > $i]: (c_Empty)))))) @ (Y1 @ c_Empty) @ Y0))))))))) | ($false = ((X1 @ (^[Y0 : $i]: ((^[Y1 : $i > $i > $i]: (c_Empty)))) @ c_Empty @ c_Empty) => (X2 @ (^[Y0 : $i]: ((^[Y1 : ($i > $i) > $i]: (Y1 @ (^[Y2 : $i]: (c_binunion @ (c_Repl @ (c_Inj1 @ (c_Repl @ c_Empty @ c_Inj1)) @ (^[Y3 : $i]: (c_Repl @ Y3 @ c_Inj1))) @ (c_Repl @ (c_binunion @ (c_Repl @ c_Empty @ (^[Y3 : $i]: (c_Repl @ Y3 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1)) @ c_Inj1))))))) @ c_Empty))) | ($false = (!! 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% 184.35/23.67 inference(binary_proxy_clausification,[],[f332])).
% 184.35/23.67 thf(f332,plain,(
% 184.35/23.67 ( ! 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@ $i @ (^[Y0 : $i]: (!! @ ($i > $i) @ (^[Y1 : $i > $i]: (~ (X4 @ (^[Y2 : $i]: ((^[Y3 : $i]: ((^[Y4 : ($i > $i) > $i > $i]: (c_Empty)))))) @ (Y1 @ c_Empty) @ Y0)))))))))) | ($false = ((X1 @ (^[Y0 : $i]: ((^[Y1 : $i > $i > $i]: (c_Empty)))) @ c_Empty @ c_Empty) => (X2 @ (^[Y0 : $i]: ((^[Y1 : ($i > $i) > $i]: (Y1 @ (^[Y2 : $i]: (c_binunion @ (c_Repl @ (c_Inj1 @ (c_Repl @ c_Empty @ c_Inj1)) @ (^[Y3 : $i]: (c_Repl @ Y3 @ c_Inj1))) @ (c_Repl @ (c_binunion @ (c_Repl @ c_Empty @ (^[Y3 : $i]: (c_Repl @ Y3 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1)) @ c_Inj1))))))) @ c_Empty)))) )),
% 184.35/23.67 inference(binary_proxy_clausification,[],[f331])).
% 184.35/23.67 thf(f331,plain,(
% 184.35/23.67 ( ! [X2 : ($i > (($i > $i) > $i) > $i) > $i > $o,X3 : ($i > $i) > (((($i > $i) > $i) > $i) > ($i > $i > $i) > $i > $i > $i) > $i > $o,X1 : ($i > ($i > $i > $i) > $i) > $i > $i > $o,X4 : ($i > $i > (($i > $i) > $i > $i) > $i) > $i > $i > $o] : (($false = (!! @ ($i > (($i > $i) > $i > $i) > $i) @ (^[Y0 : $i > (($i > $i) > $i > $i) > $i]: (!! @ (((($i > $i) > $i > $i) > ($i > $i) > $i > $i) > ($i > $i > $i) > $i) @ (^[Y1 : ((($i > $i) > $i > $i) > ($i > $i) > $i > $i) > ($i > $i > $i) > $i]: (!! @ $i @ (^[Y2 : $i]: ((c_In @ (c_Repl @ c_Empty @ c_Inj1) @ (c_binunion @ (c_Repl @ c_Empty @ (^[Y3 : $i]: (c_Repl @ Y3 @ c_Inj1))) @ (c_Repl @ (Y0 @ (c_Repl @ (c_binunion @ (c_Repl @ c_Empty @ (^[Y3 : $i]: (c_Repl @ Y3 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1)) @ c_Inj1) @ (^[Y3 : $i > $i]: ((^[Y4 : $i]: (c_Repl @ c_Empty @ c_Inj1))))) @ c_Inj1))) => ((X4 @ (^[Y3 : $i]: ((^[Y4 : $i]: ((^[Y5 : ($i > $i) > $i > $i]: (Y3)))))) @ Y2 @ (Y1 @ (^[Y3 : ($i > $i) > $i > $i]: ((^[Y4 : $i > $i]: ((^[Y5 : $i]: (c_Inj1 @ c_Empty)))))) @ (^[Y3 : $i]: ((^[Y4 : $i]: (c_Empty)))))) => (X3 @ (^[Y3 : $i]: (Y3)) @ (^[Y3 : (($i > $i) > $i) > $i]: ((^[Y4 : $i > $i > $i]: ((^[Y5 : $i]: ((^[Y6 : $i]: (Y5)))))))) @ (c_binunion @ (c_Repl @ (c_Repl @ c_Empty @ c_Inj1) @ (^[Y3 : $i]: (c_Repl @ Y3 @ c_Inj1))) @ (c_Repl @ (Y1 @ (^[Y3 : ($i > $i) > $i > $i]: ((^[Y4 : $i > $i]: ((^[Y5 : $i]: (c_Repl @ c_Empty @ c_Inj1)))))) @ (^[Y3 : $i]: ((^[Y4 : $i]: (Y4))))) @ c_Inj1)))))))))))) | ($true = (((X1 @ (^[Y0 : $i]: ((^[Y1 : $i > $i > $i]: (c_Empty)))) @ c_Empty @ c_Empty) => (X2 @ (^[Y0 : $i]: ((^[Y1 : ($i > $i) > $i]: (Y1 @ (^[Y2 : $i]: (c_binunion @ (c_Repl @ (c_Inj1 @ (c_Repl @ c_Empty @ c_Inj1)) @ (^[Y3 : $i]: (c_Repl @ Y3 @ c_Inj1))) @ (c_Repl @ (c_binunion @ (c_Repl @ c_Empty @ (^[Y3 : $i]: (c_Repl @ Y3 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1)) @ c_Inj1))))))) @ c_Empty)) => ((!! 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@ ($i > $i) @ (^[Y0 : $i > $i]: (!! @ $i @ (^[Y1 : $i]: (!! @ ($i > $i > $i) @ (^[Y2 : $i > $i > $i]: ((c_In @ (c_Repl @ (c_Inj1 @ c_Empty) @ c_Inj1) @ (c_binunion @ (c_Repl @ (c_binunion @ (c_Repl @ (c_Repl @ c_Empty @ c_Inj1) @ (^[Y3 : $i]: (c_Repl @ Y3 @ c_Inj1))) @ (c_Repl @ (c_binunion @ (c_Repl @ (c_binunion @ (c_Repl @ c_Empty @ (^[Y3 : $i]: (c_Repl @ Y3 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1)) @ (^[Y3 : $i]: (c_Repl @ Y3 @ c_Inj1))) @ (c_Repl @ (c_binunion @ (c_Repl @ c_Empty @ (^[Y3 : $i]: (c_Repl @ Y3 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1)) @ c_Inj1)) @ c_Inj1)) @ (^[Y3 : $i]: (c_Repl @ Y3 @ c_Inj1))) @ (c_Repl @ (c_binunion @ (c_Repl @ c_Empty @ (^[Y3 : $i]: (c_Repl @ Y3 @ c_Inj1))) @ (c_Repl @ (c_binunion @ (c_Repl @ (c_Repl @ c_Empty @ c_Inj1) @ (^[Y3 : $i]: (c_Repl @ Y3 @ c_Inj1))) @ (c_Repl @ (Y2 @ c_Empty @ c_Empty) @ c_Inj1)) @ c_Inj1)) @ c_Inj1))) => ((X3 @ (^[Y3 : $i]: (c_Empty)) @ (^[Y3 : (($i > $i) > $i) > $i]: ((^[Y4 : $i > $i > $i]: ((^[Y5 : $i]: ((^[Y6 : $i]: (c_Empty)))))))) @ (c_binunion @ (c_Repl @ (c_binunion @ (c_Repl @ c_Empty @ (^[Y3 : $i]: (c_Repl @ Y3 @ c_Inj1))) @ (c_Repl @ (c_binunion @ (c_Repl @ (c_binunion @ (c_Repl @ c_Empty @ (^[Y3 : $i]: (c_Repl @ Y3 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1)) @ (^[Y3 : $i]: (c_Repl @ Y3 @ c_Inj1))) @ (c_Repl @ (c_Repl @ c_Empty @ c_Inj1) @ c_Inj1)) @ c_Inj1)) @ (^[Y3 : $i]: (c_Repl @ Y3 @ c_Inj1))) @ (c_Repl @ (c_Inj1 @ Y1) @ c_Inj1))) => (X2 @ (^[Y3 : $i]: ((^[Y4 : ($i > $i) > $i]: (c_Repl @ c_Empty @ c_Inj1)))) @ (Y2 @ c_Empty @ (Y0 @ (c_binunion @ (c_Repl @ (c_Inj1 @ c_Empty) @ (^[Y3 : $i]: (c_Repl @ Y3 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1))))))))))))))) )),
% 184.35/23.67 inference(binary_proxy_clausification,[],[f330])).
% 184.35/23.67 thf(f330,plain,(
% 184.35/23.67 ( ! 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@ ($i > (($i > $i) > $i > $i) > $i) @ (^[Y0 : $i > (($i > $i) > $i > $i) > $i]: (!! @ (((($i > $i) > $i > $i) > ($i > $i) > $i > $i) > ($i > $i > $i) > $i) @ (^[Y1 : ((($i > $i) > $i > $i) > ($i > $i) > $i > $i) > ($i > $i > $i) > $i]: (!! @ $i @ (^[Y2 : $i]: ((c_In @ (c_Repl @ c_Empty @ c_Inj1) @ (c_binunion @ (c_Repl @ c_Empty @ (^[Y3 : $i]: (c_Repl @ Y3 @ c_Inj1))) @ (c_Repl @ (Y0 @ (c_Repl @ (c_binunion @ (c_Repl @ c_Empty @ (^[Y3 : $i]: (c_Repl @ Y3 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1)) @ c_Inj1) @ (^[Y3 : $i > $i]: ((^[Y4 : $i]: (c_Repl @ c_Empty @ c_Inj1))))) @ c_Inj1))) => ((X4 @ (^[Y3 : $i]: ((^[Y4 : $i]: ((^[Y5 : ($i > $i) > $i > $i]: (Y3)))))) @ Y2 @ (Y1 @ (^[Y3 : ($i > $i) > $i > $i]: ((^[Y4 : $i > $i]: ((^[Y5 : $i]: (c_Inj1 @ c_Empty)))))) @ (^[Y3 : $i]: ((^[Y4 : $i]: (c_Empty)))))) => (X3 @ (^[Y3 : $i]: (Y3)) @ (^[Y3 : (($i > $i) > $i) > $i]: ((^[Y4 : $i > $i > $i]: ((^[Y5 : $i]: ((^[Y6 : $i]: (Y5)))))))) @ (c_binunion @ (c_Repl @ (c_Repl @ c_Empty @ c_Inj1) @ (^[Y3 : $i]: (c_Repl @ Y3 @ c_Inj1))) @ (c_Repl @ (Y1 @ (^[Y3 : ($i > $i) > $i > $i]: ((^[Y4 : $i > $i]: ((^[Y5 : $i]: (c_Repl @ c_Empty @ c_Inj1)))))) @ (^[Y3 : $i]: ((^[Y4 : $i]: (Y4))))) @ c_Inj1))))))))))))) )),
% 184.35/23.67 inference(binary_proxy_clausification,[],[f329])).
% 184.35/23.67 thf(f329,plain,(
% 184.35/23.67 ( ! 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% 184.35/23.67 inference(binary_proxy_clausification,[],[f328])).
% 184.35/23.67 thf(f328,plain,(
% 184.35/23.67 ( ! 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@ $i @ (^[Y0 : $i]: (!! @ ($i > $i) @ (^[Y1 : $i > $i]: (~ (X4 @ (^[Y2 : $i]: ((^[Y3 : $i]: ((^[Y4 : ($i > $i) > $i > $i]: (c_Empty)))))) @ (Y1 @ c_Empty) @ Y0))))))))))))))) )),
% 184.35/23.67 inference(binary_proxy_clausification,[],[f327])).
% 184.35/23.67 thf(f327,plain,(
% 184.35/23.67 ( ! [X2 : ($i > (($i > $i) > $i) > $i) > $i > $o,X3 : ($i > $i) > (((($i > $i) > $i) > $i) > ($i > $i > $i) > $i > $i > $i) > $i > $o,X1 : ($i > ($i > $i > $i) > $i) > $i > $i > $o,X4 : ($i > $i > (($i > $i) > $i > $i) > $i) > $i > $i > $o] : (($true = ((!! @ ((($i > $i > $i) > ($i > $i) > $i > $i) > $i) @ (^[Y0 : (($i > $i > $i) > ($i > $i) > $i > $i) > $i]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((c_In @ (c_Repl @ Y1 @ c_Inj1) @ (c_binunion @ (c_Repl @ (c_binunion @ (c_Repl @ c_Empty @ (^[Y3 : $i]: (c_Repl @ Y3 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1)) @ (^[Y3 : $i]: (c_Repl @ Y3 @ c_Inj1))) @ (c_Repl @ (c_binunion @ (c_Repl @ Y1 @ (^[Y3 : $i]: (c_Repl @ Y3 @ c_Inj1))) @ (c_Repl @ (c_Repl @ (c_binunion @ (c_Repl @ c_Empty @ (^[Y3 : $i]: (c_Repl @ Y3 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1)) @ c_Inj1) @ c_Inj1)) @ c_Inj1))) => ((X3 @ (^[Y3 : $i]: (c_Repl @ (c_Repl @ c_Empty @ c_Inj1) @ c_Inj1)) @ (^[Y3 : (($i > $i) > $i) > $i]: ((^[Y4 : $i > $i > $i]: ((^[Y5 : $i]: ((^[Y6 : $i]: (Y5)))))))) @ (c_binunion @ (c_Repl @ (Y0 @ (^[Y3 : $i > $i > $i]: ((^[Y4 : $i > $i]: ((^[Y5 : $i]: (c_Repl @ (c_binunion @ (c_Repl @ c_Empty @ (^[Y6 : $i]: (c_Repl @ Y6 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1)) @ c_Inj1))))))) @ (^[Y3 : $i]: (c_Repl @ Y3 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1))) => (X1 @ (^[Y3 : $i]: ((^[Y4 : $i > $i > $i]: (c_Repl @ Y3 @ c_Inj1)))) @ Y2 @ (c_binunion @ (c_Repl @ (c_binunion @ (c_Repl @ (c_binunion @ (c_Repl @ c_Empty @ (^[Y3 : $i]: (c_Repl @ Y3 @ c_Inj1))) @ (c_Repl @ (c_binunion @ (c_Repl @ c_Empty @ (^[Y3 : $i]: (c_Repl @ Y3 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1)) @ c_Inj1)) @ (^[Y3 : $i]: (c_Repl @ Y3 @ c_Inj1))) @ (c_Repl @ (c_Repl @ c_Empty @ c_Inj1) @ c_Inj1)) @ (^[Y3 : $i]: (c_Repl @ Y3 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1))))))))))) => ((!! @ (((($i > $i) > $i > $i) > $i) > $i) @ (^[Y0 : ((($i > $i) > $i > $i) > $i) > $i]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((X1 @ (^[Y3 : $i]: ((^[Y4 : $i > $i > $i]: (c_Empty)))) @ Y2 @ (c_binunion @ (c_Repl @ (c_binunion @ (c_Repl @ (c_binunion @ (c_Repl @ (c_binunion @ (c_Repl @ c_Empty @ (^[Y3 : $i]: (c_Repl @ Y3 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1)) @ (^[Y3 : $i]: (c_Repl @ Y3 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1)) @ (^[Y3 : $i]: (c_Repl @ Y3 @ c_Inj1))) @ (c_Repl @ (c_binunion @ (c_Repl @ (c_binunion @ (c_Repl @ c_Empty @ (^[Y3 : $i]: (c_Repl @ Y3 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1)) @ (^[Y3 : $i]: (c_Repl @ Y3 @ c_Inj1))) @ (c_Repl @ (c_Repl @ c_Empty @ c_Inj1) @ c_Inj1)) @ c_Inj1)) @ (^[Y3 : $i]: (c_Repl @ Y3 @ c_Inj1))) @ (c_Repl @ (c_binunion @ (c_Repl @ c_Empty @ (^[Y3 : $i]: (c_Repl @ Y3 @ c_Inj1))) @ (c_Repl @ (c_Inj1 @ (c_binunion @ (c_Repl @ c_Empty @ (^[Y3 : $i]: (c_Repl @ Y3 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1))) @ c_Inj1)) @ c_Inj1))) => (X1 @ (^[Y3 : $i]: ((^[Y4 : $i > $i > $i]: (Y2)))) @ (c_binunion @ (c_Repl @ (Y0 @ (^[Y3 : ($i > $i) > $i > $i]: (Y2))) @ (^[Y3 : $i]: (c_Repl @ Y3 @ c_Inj1))) @ (c_Repl @ Y1 @ c_Inj1)) @ (c_Repl @ (c_Inj1 @ (c_binunion @ (c_Repl @ (c_binunion @ (c_Repl @ c_Empty @ (^[Y3 : $i]: (c_Repl @ Y3 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1)) @ (^[Y3 : $i]: (c_Repl @ Y3 @ c_Inj1))) @ (c_Repl @ (c_binunion @ (c_Repl @ c_Empty @ (^[Y3 : $i]: (c_Repl @ Y3 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1)) @ c_Inj1))) @ c_Inj1))))))))) => ((!! @ ($i > (($i > $i) > $i > $i) > $i) @ (^[Y0 : $i > (($i > $i) > $i > $i) > $i]: (!! @ (((($i > $i) > $i > $i) > ($i > $i) > $i > $i) > ($i > $i > $i) > $i) @ (^[Y1 : ((($i > $i) > $i > $i) > ($i > $i) > $i > $i) > ($i > $i > $i) > $i]: (!! @ $i @ (^[Y2 : $i]: ((c_In @ (c_Repl @ c_Empty @ c_Inj1) @ (c_binunion @ (c_Repl @ c_Empty @ (^[Y3 : $i]: (c_Repl @ Y3 @ c_Inj1))) @ (c_Repl @ (Y0 @ (c_Repl @ (c_binunion @ (c_Repl @ c_Empty @ (^[Y3 : $i]: (c_Repl @ Y3 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1)) @ c_Inj1) @ (^[Y3 : $i > $i]: ((^[Y4 : $i]: (c_Repl @ c_Empty @ c_Inj1))))) @ c_Inj1))) => ((X4 @ (^[Y3 : $i]: ((^[Y4 : $i]: ((^[Y5 : ($i > $i) > $i > $i]: (Y3)))))) @ Y2 @ (Y1 @ (^[Y3 : ($i > $i) > $i > $i]: ((^[Y4 : $i > $i]: ((^[Y5 : $i]: (c_Inj1 @ c_Empty)))))) @ (^[Y3 : $i]: ((^[Y4 : $i]: (c_Empty)))))) => (X3 @ (^[Y3 : $i]: (Y3)) @ (^[Y3 : (($i > $i) > $i) > $i]: ((^[Y4 : $i > $i > $i]: ((^[Y5 : $i]: ((^[Y6 : $i]: (Y5)))))))) @ (c_binunion @ (c_Repl @ (c_Repl @ c_Empty @ c_Inj1) @ (^[Y3 : $i]: (c_Repl @ Y3 @ c_Inj1))) @ (c_Repl @ (Y1 @ (^[Y3 : ($i > $i) > $i > $i]: ((^[Y4 : $i > $i]: ((^[Y5 : $i]: (c_Repl @ c_Empty @ c_Inj1)))))) @ (^[Y3 : $i]: ((^[Y4 : $i]: (Y4))))) @ c_Inj1))))))))))) => ((!! @ ($i > $i) @ (^[Y0 : $i > $i]: (!! @ $i @ (^[Y1 : $i]: (!! @ ($i > $i > $i) @ (^[Y2 : $i > $i > $i]: ((c_In @ (c_Repl @ (c_Inj1 @ c_Empty) @ c_Inj1) @ (c_binunion @ (c_Repl @ (c_binunion @ (c_Repl @ (c_Repl @ c_Empty @ c_Inj1) @ (^[Y3 : $i]: (c_Repl @ Y3 @ c_Inj1))) @ (c_Repl @ (c_binunion @ (c_Repl @ (c_binunion @ (c_Repl @ c_Empty @ (^[Y3 : $i]: (c_Repl @ Y3 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1)) @ (^[Y3 : $i]: (c_Repl @ Y3 @ c_Inj1))) @ (c_Repl @ (c_binunion @ (c_Repl @ c_Empty @ (^[Y3 : $i]: (c_Repl @ Y3 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1)) @ c_Inj1)) @ c_Inj1)) @ (^[Y3 : $i]: (c_Repl @ Y3 @ c_Inj1))) @ (c_Repl @ (c_binunion @ (c_Repl @ c_Empty @ (^[Y3 : $i]: (c_Repl @ Y3 @ c_Inj1))) @ (c_Repl @ (c_binunion @ (c_Repl @ (c_Repl @ c_Empty @ c_Inj1) @ (^[Y3 : $i]: (c_Repl @ Y3 @ c_Inj1))) @ (c_Repl @ (Y2 @ c_Empty @ c_Empty) @ c_Inj1)) @ c_Inj1)) @ c_Inj1))) => ((X3 @ (^[Y3 : $i]: (c_Empty)) @ (^[Y3 : (($i > $i) > $i) > $i]: ((^[Y4 : $i > $i > $i]: ((^[Y5 : $i]: ((^[Y6 : $i]: (c_Empty)))))))) @ (c_binunion @ (c_Repl @ (c_binunion @ (c_Repl @ c_Empty @ (^[Y3 : $i]: (c_Repl @ Y3 @ c_Inj1))) @ (c_Repl @ (c_binunion @ (c_Repl @ (c_binunion @ (c_Repl @ c_Empty @ (^[Y3 : $i]: (c_Repl @ Y3 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1)) @ (^[Y3 : $i]: (c_Repl @ Y3 @ c_Inj1))) @ (c_Repl @ (c_Repl @ c_Empty @ c_Inj1) @ c_Inj1)) @ c_Inj1)) @ (^[Y3 : $i]: (c_Repl @ Y3 @ c_Inj1))) @ (c_Repl @ (c_Inj1 @ Y1) @ c_Inj1))) => (X2 @ (^[Y3 : $i]: ((^[Y4 : ($i > $i) > $i]: (c_Repl @ c_Empty @ c_Inj1)))) @ (Y2 @ c_Empty @ (Y0 @ (c_binunion @ (c_Repl @ (c_Inj1 @ c_Empty) @ (^[Y3 : $i]: (c_Repl @ Y3 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1))))))))))))) => (((X1 @ (^[Y0 : $i]: ((^[Y1 : $i > $i > $i]: (c_Empty)))) @ c_Empty @ c_Empty) => (X2 @ (^[Y0 : $i]: ((^[Y1 : ($i > $i) > $i]: (Y1 @ (^[Y2 : $i]: (c_binunion @ (c_Repl @ (c_Inj1 @ (c_Repl @ c_Empty @ c_Inj1)) @ (^[Y3 : $i]: (c_Repl @ Y3 @ c_Inj1))) @ (c_Repl @ (c_binunion @ (c_Repl @ c_Empty @ (^[Y3 : $i]: (c_Repl @ Y3 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1)) @ c_Inj1))))))) @ c_Empty)) => ((!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: ((c_In @ (c_Repl @ Y0 @ c_Inj1) @ (c_binunion @ (c_Repl @ (c_binunion @ (c_Repl @ Y3 @ (^[Y4 : $i]: (c_Repl @ Y4 @ c_Inj1))) @ (c_Repl @ (c_binunion @ (c_Repl @ Y1 @ (^[Y4 : $i]: (c_Repl @ Y4 @ c_Inj1))) @ (c_Repl @ (c_binunion @ (c_Repl @ c_Empty @ (^[Y4 : $i]: (c_Repl @ Y4 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1)) @ c_Inj1)) @ c_Inj1)) @ (^[Y4 : $i]: (c_Repl @ Y4 @ c_Inj1))) @ (c_Repl @ (c_Inj1 @ (c_binunion @ (c_Repl @ Y1 @ (^[Y4 : $i]: (c_Repl @ Y4 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1))) @ c_Inj1))) => ((X2 @ (^[Y4 : $i]: ((^[Y5 : ($i > $i) > $i]: (Y2)))) @ c_Empty) => (X3 @ (^[Y4 : $i]: (c_Empty)) @ (^[Y4 : (($i > $i) > $i) > $i]: ((^[Y5 : $i > $i > $i]: ((^[Y6 : $i]: ((^[Y7 : $i]: (c_binunion @ (c_Repl @ c_Empty @ (^[Y8 : $i]: (c_Repl @ Y8 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1))))))))) @ Y1))))))))))) => ((!! @ $i @ (^[Y0 : $i]: (!! @ (((($i > $i) > $i > $i) > $i) > $i) @ (^[Y1 : ((($i > $i) > $i > $i) > $i) > $i]: ((c_In @ (c_Inj1 @ c_Empty) @ Y0) => ((X2 @ (^[Y2 : $i]: ((^[Y3 : ($i > $i) > $i]: (c_Empty)))) @ c_Empty) => (X4 @ (^[Y2 : $i]: ((^[Y3 : $i]: ((^[Y4 : ($i > $i) > $i > $i]: (c_Inj1 @ c_Empty)))))) @ (c_Inj1 @ (c_Inj1 @ (Y1 @ (^[Y2 : ($i > $i) > $i > $i]: (c_Empty))))) @ (c_Inj1 @ (c_binunion @ (c_Repl @ (c_binunion @ (c_Repl @ (c_Repl @ c_Empty @ c_Inj1) @ (^[Y2 : $i]: (c_Repl @ Y2 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1)) @ (^[Y2 : $i]: (c_Repl @ Y2 @ c_Inj1))) @ (c_Repl @ (c_Inj1 @ (c_Repl @ c_Empty @ c_Inj1)) @ c_Inj1)))))))))) => (~ (!! @ $i @ (^[Y0 : $i]: (!! @ ($i > $i) @ (^[Y1 : $i > $i]: (~ (X4 @ (^[Y2 : $i]: ((^[Y3 : $i]: ((^[Y4 : ($i > $i) > $i > $i]: (c_Empty)))))) @ (Y1 @ c_Empty) @ Y0)))))))))))))))) )),
% 184.35/23.67 inference(boolean_simplification,[],[f326])).
% 184.35/23.67 thf(f326,plain,(
% 184.35/23.67 ( ! [X2 : ($i > (($i > $i) > $i) > $i) > $i > $o,X3 : ($i > $i) > (((($i > $i) > $i) > $i) > ($i > $i > $i) > $i > $i > $i) > $i > $o,X1 : ($i > ($i > $i > $i) > $i) > $i > $i > $o,X4 : ($i > $i > (($i > $i) > $i > $i) > $i) > $i > $i > $o] : (($true = ((!! @ ((($i > $i > $i) > ($i > $i) > $i > $i) > $i) @ (^[Y0 : (($i > $i > $i) > ($i > $i) > $i > $i) > $i]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((c_In @ (c_Repl @ Y1 @ c_Inj1) @ (c_binunion @ (c_Repl @ (c_binunion @ (c_Repl @ c_Empty @ (^[Y3 : $i]: (c_Repl @ Y3 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1)) @ (^[Y3 : $i]: (c_Repl @ Y3 @ c_Inj1))) @ (c_Repl @ (c_binunion @ (c_Repl @ Y1 @ (^[Y3 : $i]: (c_Repl @ Y3 @ c_Inj1))) @ (c_Repl @ (c_Repl @ (c_binunion @ (c_Repl @ c_Empty @ (^[Y3 : $i]: (c_Repl @ Y3 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1)) @ c_Inj1) @ c_Inj1)) @ c_Inj1))) => ((X3 @ (^[Y3 : $i]: (c_Repl @ (c_Repl @ c_Empty @ c_Inj1) @ c_Inj1)) @ (^[Y3 : (($i > $i) > $i) > $i]: ((^[Y4 : $i > $i > $i]: ((^[Y5 : $i]: ((^[Y6 : $i]: (Y5)))))))) @ (c_binunion @ (c_Repl @ (Y0 @ (^[Y3 : $i > $i > $i]: ((^[Y4 : $i > $i]: ((^[Y5 : $i]: (c_Repl @ (c_binunion @ (c_Repl @ c_Empty @ (^[Y6 : $i]: (c_Repl @ Y6 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1)) @ c_Inj1))))))) @ (^[Y3 : $i]: (c_Repl @ Y3 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1))) => (X1 @ (^[Y3 : $i]: ((^[Y4 : $i > $i > $i]: (c_Repl @ Y3 @ c_Inj1)))) @ Y2 @ (c_binunion @ (c_Repl @ (c_binunion @ (c_Repl @ (c_binunion @ (c_Repl @ c_Empty @ (^[Y3 : $i]: (c_Repl @ Y3 @ c_Inj1))) @ (c_Repl @ (c_binunion @ (c_Repl @ c_Empty @ (^[Y3 : $i]: (c_Repl @ Y3 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1)) @ c_Inj1)) @ (^[Y3 : $i]: (c_Repl @ Y3 @ c_Inj1))) @ (c_Repl @ (c_Repl @ c_Empty @ c_Inj1) @ c_Inj1)) @ (^[Y3 : $i]: (c_Repl @ Y3 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1))))))))))) => ((!! @ (((($i > $i) > $i > $i) > $i) > $i) @ (^[Y0 : ((($i > $i) > $i > $i) > $i) > $i]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((X1 @ (^[Y3 : $i]: ((^[Y4 : $i > $i > $i]: (c_Empty)))) @ Y2 @ (c_binunion @ (c_Repl @ (c_binunion @ (c_Repl @ (c_binunion @ (c_Repl @ (c_binunion @ (c_Repl @ c_Empty @ (^[Y3 : $i]: (c_Repl @ Y3 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1)) @ (^[Y3 : $i]: (c_Repl @ Y3 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1)) @ (^[Y3 : $i]: (c_Repl @ Y3 @ c_Inj1))) @ (c_Repl @ (c_binunion @ (c_Repl @ (c_binunion @ (c_Repl @ c_Empty @ (^[Y3 : $i]: (c_Repl @ Y3 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1)) @ (^[Y3 : $i]: (c_Repl @ Y3 @ c_Inj1))) @ (c_Repl @ (c_Repl @ c_Empty @ c_Inj1) @ c_Inj1)) @ c_Inj1)) @ (^[Y3 : $i]: (c_Repl @ Y3 @ c_Inj1))) @ (c_Repl @ (c_binunion @ (c_Repl @ c_Empty @ (^[Y3 : $i]: (c_Repl @ Y3 @ c_Inj1))) @ (c_Repl @ (c_Inj1 @ (c_binunion @ (c_Repl @ c_Empty @ (^[Y3 : $i]: (c_Repl @ Y3 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1))) @ c_Inj1)) @ c_Inj1))) => (X1 @ (^[Y3 : $i]: ((^[Y4 : $i > $i > $i]: (Y2)))) @ (c_binunion @ (c_Repl @ (Y0 @ (^[Y3 : ($i > $i) > $i > $i]: (Y2))) @ (^[Y3 : $i]: (c_Repl @ Y3 @ c_Inj1))) @ (c_Repl @ Y1 @ c_Inj1)) @ (c_Repl @ (c_Inj1 @ (c_binunion @ (c_Repl @ (c_binunion @ (c_Repl @ c_Empty @ (^[Y3 : $i]: (c_Repl @ Y3 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1)) @ (^[Y3 : $i]: (c_Repl @ Y3 @ c_Inj1))) @ (c_Repl @ (c_binunion @ (c_Repl @ c_Empty @ (^[Y3 : $i]: (c_Repl @ Y3 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1)) @ c_Inj1))) @ c_Inj1))))))))) => ((!! @ ($i > (($i > $i) > $i > $i) > $i) @ (^[Y0 : $i > (($i > $i) > $i > $i) > $i]: (!! @ (((($i > $i) > $i > $i) > ($i > $i) > $i > $i) > ($i > $i > $i) > $i) @ (^[Y1 : ((($i > $i) > $i > $i) > ($i > $i) > $i > $i) > ($i > $i > $i) > $i]: (!! @ $i @ (^[Y2 : $i]: ((c_In @ (c_Repl @ c_Empty @ c_Inj1) @ (c_binunion @ (c_Repl @ c_Empty @ (^[Y3 : $i]: (c_Repl @ Y3 @ c_Inj1))) @ (c_Repl @ (Y0 @ (c_Repl @ (c_binunion @ (c_Repl @ c_Empty @ (^[Y3 : $i]: (c_Repl @ Y3 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1)) @ c_Inj1) @ (^[Y3 : $i > $i]: ((^[Y4 : $i]: (c_Repl @ c_Empty @ c_Inj1))))) @ c_Inj1))) => ((X4 @ (^[Y3 : $i]: ((^[Y4 : $i]: ((^[Y5 : ($i > $i) > $i > $i]: (Y3)))))) @ Y2 @ (Y1 @ (^[Y3 : ($i > $i) > $i > $i]: ((^[Y4 : $i > $i]: ((^[Y5 : $i]: (c_Inj1 @ c_Empty)))))) @ (^[Y3 : $i]: ((^[Y4 : $i]: (c_Empty)))))) => (X3 @ (^[Y3 : $i]: (Y3)) @ (^[Y3 : (($i > $i) > $i) > $i]: ((^[Y4 : $i > $i > $i]: ((^[Y5 : $i]: ((^[Y6 : $i]: (Y5)))))))) @ (c_binunion @ (c_Repl @ (c_Repl @ c_Empty @ c_Inj1) @ (^[Y3 : $i]: (c_Repl @ Y3 @ c_Inj1))) @ (c_Repl @ (Y1 @ (^[Y3 : ($i > $i) > $i > $i]: ((^[Y4 : $i > $i]: ((^[Y5 : $i]: (c_Repl @ c_Empty @ c_Inj1)))))) @ (^[Y3 : $i]: ((^[Y4 : $i]: (Y4))))) @ c_Inj1))))))))))) => ((!! @ ($i > $i) @ (^[Y0 : $i > $i]: (!! @ $i @ (^[Y1 : $i]: (!! @ ($i > $i > $i) @ (^[Y2 : $i > $i > $i]: ((c_In @ (c_Repl @ (c_Inj1 @ c_Empty) @ c_Inj1) @ (c_binunion @ (c_Repl @ (c_binunion @ (c_Repl @ (c_Repl @ c_Empty @ c_Inj1) @ (^[Y3 : $i]: (c_Repl @ Y3 @ c_Inj1))) @ (c_Repl @ (c_binunion @ (c_Repl @ (c_binunion @ (c_Repl @ c_Empty @ (^[Y3 : $i]: (c_Repl @ Y3 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1)) @ (^[Y3 : $i]: (c_Repl @ Y3 @ c_Inj1))) @ (c_Repl @ (c_binunion @ (c_Repl @ c_Empty @ (^[Y3 : $i]: (c_Repl @ Y3 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1)) @ c_Inj1)) @ c_Inj1)) @ (^[Y3 : $i]: (c_Repl @ Y3 @ c_Inj1))) @ (c_Repl @ (c_binunion @ (c_Repl @ c_Empty @ (^[Y3 : $i]: (c_Repl @ Y3 @ c_Inj1))) @ (c_Repl @ (c_binunion @ (c_Repl @ (c_Repl @ c_Empty @ c_Inj1) @ (^[Y3 : $i]: (c_Repl @ Y3 @ c_Inj1))) @ (c_Repl @ (Y2 @ c_Empty @ c_Empty) @ c_Inj1)) @ c_Inj1)) @ c_Inj1))) => ((X3 @ (^[Y3 : $i]: (c_Empty)) @ (^[Y3 : (($i > $i) > $i) > $i]: ((^[Y4 : $i > $i > $i]: ((^[Y5 : $i]: ((^[Y6 : $i]: (c_Empty)))))))) @ (c_binunion @ (c_Repl @ (c_binunion @ (c_Repl @ c_Empty @ (^[Y3 : $i]: (c_Repl @ Y3 @ c_Inj1))) @ (c_Repl @ (c_binunion @ (c_Repl @ (c_binunion @ (c_Repl @ c_Empty @ (^[Y3 : $i]: (c_Repl @ Y3 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1)) @ (^[Y3 : $i]: (c_Repl @ Y3 @ c_Inj1))) @ (c_Repl @ (c_Repl @ c_Empty @ c_Inj1) @ c_Inj1)) @ c_Inj1)) @ (^[Y3 : $i]: (c_Repl @ Y3 @ c_Inj1))) @ (c_Repl @ (c_Inj1 @ Y1) @ c_Inj1))) => (X2 @ (^[Y3 : $i]: ((^[Y4 : ($i > $i) > $i]: (c_Repl @ c_Empty @ c_Inj1)))) @ (Y2 @ c_Empty @ (Y0 @ (c_binunion @ (c_Repl @ (c_Inj1 @ c_Empty) @ (^[Y3 : $i]: (c_Repl @ Y3 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1))))))))))))) => (((X1 @ (^[Y0 : $i]: ((^[Y1 : $i > $i > $i]: (c_Empty)))) @ c_Empty @ c_Empty) => (X2 @ (^[Y0 : $i]: ((^[Y1 : ($i > $i) > $i]: (Y1 @ (^[Y2 : $i]: (c_binunion @ (c_Repl @ (c_Inj1 @ (c_Repl @ c_Empty @ c_Inj1)) @ (^[Y3 : $i]: (c_Repl @ Y3 @ c_Inj1))) @ (c_Repl @ (c_binunion @ (c_Repl @ c_Empty @ (^[Y3 : $i]: (c_Repl @ Y3 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1)) @ c_Inj1))))))) @ c_Empty)) => ((!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: ((c_In @ (c_Repl @ Y0 @ c_Inj1) @ (c_binunion @ (c_Repl @ (c_binunion @ (c_Repl @ Y3 @ (^[Y4 : $i]: (c_Repl @ Y4 @ c_Inj1))) @ (c_Repl @ (c_binunion @ (c_Repl @ Y1 @ (^[Y4 : $i]: (c_Repl @ Y4 @ c_Inj1))) @ (c_Repl @ (c_binunion @ (c_Repl @ c_Empty @ (^[Y4 : $i]: (c_Repl @ Y4 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1)) @ c_Inj1)) @ c_Inj1)) @ (^[Y4 : $i]: (c_Repl @ Y4 @ c_Inj1))) @ (c_Repl @ (c_Inj1 @ (c_binunion @ (c_Repl @ Y1 @ (^[Y4 : $i]: (c_Repl @ Y4 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1))) @ c_Inj1))) => ((X2 @ (^[Y4 : $i]: ((^[Y5 : ($i > $i) > $i]: (Y2)))) @ c_Empty) => (X3 @ (^[Y4 : $i]: (c_Empty)) @ (^[Y4 : (($i > $i) > $i) > $i]: ((^[Y5 : $i > $i > $i]: ((^[Y6 : $i]: ((^[Y7 : $i]: (c_binunion @ (c_Repl @ c_Empty @ (^[Y8 : $i]: (c_Repl @ Y8 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1))))))))) @ Y1))))))))))) => ((!! @ $i @ (^[Y0 : $i]: (!! @ (((($i > $i) > $i > $i) > $i) > $i) @ (^[Y1 : ((($i > $i) > $i > $i) > $i) > $i]: ((c_In @ (c_Inj1 @ c_Empty) @ Y0) => ((X2 @ (^[Y2 : $i]: ((^[Y3 : ($i > $i) > $i]: (c_Empty)))) @ c_Empty) => (X4 @ (^[Y2 : $i]: ((^[Y3 : $i]: ((^[Y4 : ($i > $i) > $i > $i]: (c_Inj1 @ c_Empty)))))) @ (c_Inj1 @ (c_Inj1 @ (Y1 @ (^[Y2 : ($i > $i) > $i > $i]: (c_Empty))))) @ (c_Inj1 @ (c_binunion @ (c_Repl @ (c_binunion @ (c_Repl @ (c_Repl @ c_Empty @ c_Inj1) @ (^[Y2 : $i]: (c_Repl @ Y2 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1)) @ (^[Y2 : $i]: (c_Repl @ Y2 @ c_Inj1))) @ (c_Repl @ (c_Inj1 @ (c_Repl @ c_Empty @ c_Inj1)) @ c_Inj1)))))))))) => (~ (!! @ $i @ (^[Y0 : $i]: (!! @ ($i > $i) @ (^[Y1 : $i > $i]: ((X4 @ (^[Y2 : $i]: ((^[Y3 : $i]: ((^[Y4 : ($i > $i) > $i > $i]: (c_Empty)))))) @ (Y1 @ c_Empty) @ Y0) => $false))))))))))))))) )),
% 184.35/23.67 inference(boolean_simplification,[],[f325])).
% 184.35/23.67 thf(f325,plain,(
% 184.35/23.67 ( ! [X2 : ($i > (($i > $i) > $i) > $i) > $i > $o,X3 : ($i > $i) > (((($i > $i) > $i) > $i) > ($i > $i > $i) > $i > $i > $i) > $i > $o,X1 : ($i > ($i > $i > $i) > $i) > $i > $i > $o,X4 : ($i > $i > (($i > $i) > $i > $i) > $i) > $i > $i > $o] : (($true = ((!! @ ((($i > $i > $i) > ($i > $i) > $i > $i) > $i) @ (^[Y0 : (($i > $i > $i) > ($i > $i) > $i > $i) > $i]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((c_In @ (c_Repl @ Y1 @ c_Inj1) @ (c_binunion @ (c_Repl @ (c_binunion @ (c_Repl @ c_Empty @ (^[Y3 : $i]: (c_Repl @ Y3 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1)) @ (^[Y3 : $i]: (c_Repl @ Y3 @ c_Inj1))) @ (c_Repl @ (c_binunion @ (c_Repl @ Y1 @ (^[Y3 : $i]: (c_Repl @ Y3 @ c_Inj1))) @ (c_Repl @ (c_Repl @ (c_binunion @ (c_Repl @ c_Empty @ (^[Y3 : $i]: (c_Repl @ Y3 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1)) @ c_Inj1) @ c_Inj1)) @ c_Inj1))) => ((X3 @ (^[Y3 : $i]: (c_Repl @ (c_Repl @ c_Empty @ c_Inj1) @ c_Inj1)) @ (^[Y3 : (($i > $i) > $i) > $i]: ((^[Y4 : $i > $i > $i]: ((^[Y5 : $i]: ((^[Y6 : $i]: (Y5)))))))) @ (c_binunion @ (c_Repl @ (Y0 @ (^[Y3 : $i > $i > $i]: ((^[Y4 : $i > $i]: ((^[Y5 : $i]: (c_Repl @ (c_binunion @ (c_Repl @ c_Empty @ (^[Y6 : $i]: (c_Repl @ Y6 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1)) @ c_Inj1))))))) @ (^[Y3 : $i]: (c_Repl @ Y3 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1))) => (X1 @ (^[Y3 : $i]: ((^[Y4 : $i > $i > $i]: (c_Repl @ Y3 @ c_Inj1)))) @ Y2 @ (c_binunion @ (c_Repl @ (c_binunion @ (c_Repl @ (c_binunion @ (c_Repl @ c_Empty @ (^[Y3 : $i]: (c_Repl @ Y3 @ c_Inj1))) @ (c_Repl @ (c_binunion @ (c_Repl @ c_Empty @ (^[Y3 : $i]: (c_Repl @ Y3 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1)) @ c_Inj1)) @ (^[Y3 : $i]: (c_Repl @ Y3 @ c_Inj1))) @ (c_Repl @ (c_Repl @ c_Empty @ c_Inj1) @ c_Inj1)) @ (^[Y3 : $i]: (c_Repl @ Y3 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1))))))))))) => ((!! @ (((($i > $i) > $i > $i) > $i) > $i) @ (^[Y0 : ((($i > $i) > $i > $i) > $i) > $i]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((X1 @ (^[Y3 : $i]: ((^[Y4 : $i > $i > $i]: (c_Empty)))) @ Y2 @ (c_binunion @ (c_Repl @ (c_binunion @ (c_Repl @ (c_binunion @ (c_Repl @ (c_binunion @ (c_Repl @ c_Empty @ (^[Y3 : $i]: (c_Repl @ Y3 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1)) @ (^[Y3 : $i]: (c_Repl @ Y3 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1)) @ (^[Y3 : $i]: (c_Repl @ Y3 @ c_Inj1))) @ (c_Repl @ (c_binunion @ (c_Repl @ (c_binunion @ (c_Repl @ c_Empty @ (^[Y3 : $i]: (c_Repl @ Y3 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1)) @ (^[Y3 : $i]: (c_Repl @ Y3 @ c_Inj1))) @ (c_Repl @ (c_Repl @ c_Empty @ c_Inj1) @ c_Inj1)) @ c_Inj1)) @ (^[Y3 : $i]: (c_Repl @ Y3 @ c_Inj1))) @ (c_Repl @ (c_binunion @ (c_Repl @ c_Empty @ (^[Y3 : $i]: (c_Repl @ Y3 @ c_Inj1))) @ (c_Repl @ (c_Inj1 @ (c_binunion @ (c_Repl @ c_Empty @ (^[Y3 : $i]: (c_Repl @ Y3 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1))) @ c_Inj1)) @ c_Inj1))) => (X1 @ (^[Y3 : $i]: ((^[Y4 : $i > $i > $i]: (Y2)))) @ (c_binunion @ (c_Repl @ (Y0 @ (^[Y3 : ($i > $i) > $i > $i]: (Y2))) @ (^[Y3 : $i]: (c_Repl @ Y3 @ c_Inj1))) @ (c_Repl @ Y1 @ c_Inj1)) @ (c_Repl @ (c_Inj1 @ (c_binunion @ (c_Repl @ (c_binunion @ (c_Repl @ c_Empty @ (^[Y3 : $i]: (c_Repl @ Y3 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1)) @ (^[Y3 : $i]: (c_Repl @ Y3 @ c_Inj1))) @ (c_Repl @ (c_binunion @ (c_Repl @ c_Empty @ (^[Y3 : $i]: (c_Repl @ Y3 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1)) @ c_Inj1))) @ c_Inj1))))))))) => ((!! @ ($i > (($i > $i) > $i > $i) > $i) @ (^[Y0 : $i > (($i > $i) > $i > $i) > $i]: (!! @ (((($i > $i) > $i > $i) > ($i > $i) > $i > $i) > ($i > $i > $i) > $i) @ (^[Y1 : ((($i > $i) > $i > $i) > ($i > $i) > $i > $i) > ($i > $i > $i) > $i]: (!! @ $i @ (^[Y2 : $i]: ((c_In @ (c_Repl @ c_Empty @ c_Inj1) @ (c_binunion @ (c_Repl @ c_Empty @ (^[Y3 : $i]: (c_Repl @ Y3 @ c_Inj1))) @ (c_Repl @ (Y0 @ (c_Repl @ (c_binunion @ (c_Repl @ c_Empty @ (^[Y3 : $i]: (c_Repl @ Y3 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1)) @ c_Inj1) @ (^[Y3 : $i > $i]: ((^[Y4 : $i]: (c_Repl @ c_Empty @ c_Inj1))))) @ c_Inj1))) => ((X4 @ (^[Y3 : $i]: ((^[Y4 : $i]: ((^[Y5 : ($i > $i) > $i > $i]: (Y3)))))) @ Y2 @ (Y1 @ (^[Y3 : ($i > $i) > $i > $i]: ((^[Y4 : $i > $i]: ((^[Y5 : $i]: (c_Inj1 @ c_Empty)))))) @ (^[Y3 : $i]: ((^[Y4 : $i]: (c_Empty)))))) => (X3 @ (^[Y3 : $i]: (Y3)) @ (^[Y3 : (($i > $i) > $i) > $i]: ((^[Y4 : $i > $i > $i]: ((^[Y5 : $i]: ((^[Y6 : $i]: (Y5)))))))) @ (c_binunion @ (c_Repl @ (c_Repl @ c_Empty @ c_Inj1) @ (^[Y3 : $i]: (c_Repl @ Y3 @ c_Inj1))) @ (c_Repl @ (Y1 @ (^[Y3 : ($i > $i) > $i > $i]: ((^[Y4 : $i > $i]: ((^[Y5 : $i]: (c_Repl @ c_Empty @ c_Inj1)))))) @ (^[Y3 : $i]: ((^[Y4 : $i]: (Y4))))) @ c_Inj1))))))))))) => ((!! @ ($i > $i) @ (^[Y0 : $i > $i]: (!! @ $i @ (^[Y1 : $i]: (!! @ ($i > $i > $i) @ (^[Y2 : $i > $i > $i]: ((c_In @ (c_Repl @ (c_Inj1 @ c_Empty) @ c_Inj1) @ (c_binunion @ (c_Repl @ (c_binunion @ (c_Repl @ (c_Repl @ c_Empty @ c_Inj1) @ (^[Y3 : $i]: (c_Repl @ Y3 @ c_Inj1))) @ (c_Repl @ (c_binunion @ (c_Repl @ (c_binunion @ (c_Repl @ c_Empty @ (^[Y3 : $i]: (c_Repl @ Y3 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1)) @ (^[Y3 : $i]: (c_Repl @ Y3 @ c_Inj1))) @ (c_Repl @ (c_binunion @ (c_Repl @ c_Empty @ (^[Y3 : $i]: (c_Repl @ Y3 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1)) @ c_Inj1)) @ c_Inj1)) @ (^[Y3 : $i]: (c_Repl @ Y3 @ c_Inj1))) @ (c_Repl @ (c_binunion @ (c_Repl @ c_Empty @ (^[Y3 : $i]: (c_Repl @ Y3 @ c_Inj1))) @ (c_Repl @ (c_binunion @ (c_Repl @ (c_Repl @ c_Empty @ c_Inj1) @ (^[Y3 : $i]: (c_Repl @ Y3 @ c_Inj1))) @ (c_Repl @ (Y2 @ c_Empty @ c_Empty) @ c_Inj1)) @ c_Inj1)) @ c_Inj1))) => ((X3 @ (^[Y3 : $i]: (c_Empty)) @ (^[Y3 : (($i > $i) > $i) > $i]: ((^[Y4 : $i > $i > $i]: ((^[Y5 : $i]: ((^[Y6 : $i]: (c_Empty)))))))) @ (c_binunion @ (c_Repl @ (c_binunion @ (c_Repl @ c_Empty @ (^[Y3 : $i]: (c_Repl @ Y3 @ c_Inj1))) @ (c_Repl @ (c_binunion @ (c_Repl @ (c_binunion @ (c_Repl @ c_Empty @ (^[Y3 : $i]: (c_Repl @ Y3 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1)) @ (^[Y3 : $i]: (c_Repl @ Y3 @ c_Inj1))) @ (c_Repl @ (c_Repl @ c_Empty @ c_Inj1) @ c_Inj1)) @ c_Inj1)) @ (^[Y3 : $i]: (c_Repl @ Y3 @ c_Inj1))) @ (c_Repl @ (c_Inj1 @ Y1) @ c_Inj1))) => (X2 @ (^[Y3 : $i]: ((^[Y4 : ($i > $i) > $i]: (c_Repl @ c_Empty @ c_Inj1)))) @ (Y2 @ c_Empty @ (Y0 @ (c_binunion @ (c_Repl @ (c_Inj1 @ c_Empty) @ (^[Y3 : $i]: (c_Repl @ Y3 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1))))))))))))) => (((X1 @ (^[Y0 : $i]: ((^[Y1 : $i > $i > $i]: (c_Empty)))) @ c_Empty @ c_Empty) => (X2 @ (^[Y0 : $i]: ((^[Y1 : ($i > $i) > $i]: (Y1 @ (^[Y2 : $i]: (c_binunion @ (c_Repl @ (c_Inj1 @ (c_Repl @ c_Empty @ c_Inj1)) @ (^[Y3 : $i]: (c_Repl @ Y3 @ c_Inj1))) @ (c_Repl @ (c_binunion @ (c_Repl @ c_Empty @ (^[Y3 : $i]: (c_Repl @ Y3 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1)) @ c_Inj1))))))) @ c_Empty)) => ((!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: ((c_In @ (c_Repl @ Y0 @ c_Inj1) @ (c_binunion @ (c_Repl @ (c_binunion @ (c_Repl @ Y3 @ (^[Y4 : $i]: (c_Repl @ Y4 @ c_Inj1))) @ (c_Repl @ (c_binunion @ (c_Repl @ Y1 @ (^[Y4 : $i]: (c_Repl @ Y4 @ c_Inj1))) @ (c_Repl @ (c_binunion @ (c_Repl @ c_Empty @ (^[Y4 : $i]: (c_Repl @ Y4 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1)) @ c_Inj1)) @ c_Inj1)) @ (^[Y4 : $i]: (c_Repl @ Y4 @ c_Inj1))) @ (c_Repl @ (c_Inj1 @ (c_binunion @ (c_Repl @ Y1 @ (^[Y4 : $i]: (c_Repl @ Y4 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1))) @ c_Inj1))) => ((X2 @ (^[Y4 : $i]: ((^[Y5 : ($i > $i) > $i]: (Y2)))) @ c_Empty) => (X3 @ (^[Y4 : $i]: (c_Empty)) @ (^[Y4 : (($i > $i) > $i) > $i]: ((^[Y5 : $i > $i > $i]: ((^[Y6 : $i]: ((^[Y7 : $i]: (c_binunion @ (c_Repl @ c_Empty @ (^[Y8 : $i]: (c_Repl @ Y8 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1))))))))) @ Y1))))))))))) => ((!! @ $i @ (^[Y0 : $i]: (!! @ (((($i > $i) > $i > $i) > $i) > $i) @ (^[Y1 : ((($i > $i) > $i > $i) > $i) > $i]: ((c_In @ (c_Inj1 @ c_Empty) @ Y0) => ((X2 @ (^[Y2 : $i]: ((^[Y3 : ($i > $i) > $i]: (c_Empty)))) @ c_Empty) => (X4 @ (^[Y2 : $i]: ((^[Y3 : $i]: ((^[Y4 : ($i > $i) > $i > $i]: (c_Inj1 @ c_Empty)))))) @ (c_Inj1 @ (c_Inj1 @ (Y1 @ (^[Y2 : ($i > $i) > $i > $i]: (c_Empty))))) @ (c_Inj1 @ (c_binunion @ (c_Repl @ (c_binunion @ (c_Repl @ (c_Repl @ c_Empty @ c_Inj1) @ (^[Y2 : $i]: (c_Repl @ Y2 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1)) @ (^[Y2 : $i]: (c_Repl @ Y2 @ c_Inj1))) @ (c_Repl @ (c_Inj1 @ (c_Repl @ c_Empty @ c_Inj1)) @ c_Inj1)))))))))) => ((!! @ $i @ (^[Y0 : $i]: (!! @ ($i > $i) @ (^[Y1 : $i > $i]: ((X4 @ (^[Y2 : $i]: ((^[Y3 : $i]: ((^[Y4 : ($i > $i) > $i > $i]: (c_Empty)))))) @ (Y1 @ c_Empty) @ Y0) => $false))))) => $false)))))))))) )),
% 184.35/23.67 inference(forward_demodulation,[],[f324,f308])).
% 184.35/23.67 thf(f308,plain,(
% 184.35/23.67 ((!! @ $o @ (^[Y0 : $o]: (Y0))) = $false)),
% 184.35/23.67 inference(binary_proxy_clausification,[],[f307])).
% 184.35/23.67 thf(f307,plain,(
% 184.35/23.67 (((!! @ (($i > ($i > $i > $i) > $i) > $i > $i > $o) @ (^[Y0 : ($i > ($i > $i > $i) > $i) > $i > $i > $o]: (!! @ (($i > (($i > $i) > $i) > $i) > $i > $o) @ (^[Y1 : ($i > (($i > $i) > $i) > $i) > $i > $o]: (!! @ (($i > $i) > (((($i > $i) > $i) > $i) > ($i > $i > $i) > $i > $i > $i) > $i > $o) @ (^[Y2 : ($i > $i) > (((($i > $i) > $i) > $i) > ($i > $i > $i) > $i > $i > $i) > $i > $o]: (!! @ (($i > $i > (($i > $i) > $i > $i) > $i) > $i > $i > $o) @ (^[Y3 : ($i > $i > (($i > $i) > $i > $i) > $i) > $i > $i > $o]: ((!! @ ((($i > $i > $i) > ($i > $i) > $i > $i) > $i) @ (^[Y4 : (($i > $i > $i) > ($i > $i) > $i > $i) > $i]: (!! @ $i @ (^[Y5 : $i]: (!! @ $i @ (^[Y6 : $i]: ((c_In @ (c_Repl @ Y5 @ c_Inj1) @ (c_binunion @ (c_Repl @ (c_binunion @ (c_Repl @ c_Empty @ (^[Y7 : $i]: (c_Repl @ Y7 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1)) @ (^[Y7 : $i]: (c_Repl @ Y7 @ c_Inj1))) @ (c_Repl @ (c_binunion @ (c_Repl @ Y5 @ (^[Y7 : $i]: (c_Repl @ Y7 @ c_Inj1))) @ (c_Repl @ (c_Repl @ (c_binunion @ (c_Repl @ c_Empty @ (^[Y7 : $i]: (c_Repl @ Y7 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1)) @ c_Inj1) @ c_Inj1)) @ c_Inj1))) => ((Y2 @ (^[Y7 : $i]: (c_Repl @ (c_Repl @ c_Empty @ c_Inj1) @ c_Inj1)) @ (^[Y7 : (($i > $i) > $i) > $i]: ((^[Y8 : $i > $i > $i]: ((^[Y9 : $i]: ((^[Y10 : $i]: (Y9)))))))) @ (c_binunion @ (c_Repl @ (Y4 @ (^[Y7 : $i > $i > $i]: ((^[Y8 : $i > $i]: ((^[Y9 : $i]: (c_Repl @ (c_binunion @ (c_Repl @ c_Empty @ (^[Y10 : $i]: (c_Repl @ Y10 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1)) @ c_Inj1))))))) @ (^[Y7 : $i]: (c_Repl @ Y7 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1))) => (Y0 @ (^[Y7 : $i]: ((^[Y8 : $i > $i > $i]: (c_Repl @ Y7 @ c_Inj1)))) @ Y6 @ (c_binunion @ (c_Repl @ (c_binunion @ (c_Repl @ (c_binunion @ (c_Repl @ c_Empty @ (^[Y7 : $i]: (c_Repl @ Y7 @ c_Inj1))) @ (c_Repl @ (c_binunion @ (c_Repl @ c_Empty @ (^[Y7 : $i]: (c_Repl @ Y7 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1)) @ c_Inj1)) @ (^[Y7 : $i]: (c_Repl @ Y7 @ c_Inj1))) @ (c_Repl @ (c_Repl @ c_Empty @ c_Inj1) @ c_Inj1)) @ (^[Y7 : $i]: (c_Repl @ Y7 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1))))))))))) => ((!! @ (((($i > $i) > $i > $i) > $i) > $i) @ (^[Y4 : ((($i > $i) > $i > $i) > $i) > $i]: (!! @ $i @ (^[Y5 : $i]: (!! @ $i @ (^[Y6 : $i]: ((Y0 @ (^[Y7 : $i]: ((^[Y8 : $i > $i > $i]: (c_Empty)))) @ Y6 @ (c_binunion @ (c_Repl @ (c_binunion @ (c_Repl @ (c_binunion @ (c_Repl @ (c_binunion @ (c_Repl @ c_Empty @ (^[Y7 : $i]: (c_Repl @ Y7 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1)) @ (^[Y7 : $i]: (c_Repl @ Y7 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1)) @ (^[Y7 : $i]: (c_Repl @ Y7 @ c_Inj1))) @ (c_Repl @ (c_binunion @ (c_Repl @ (c_binunion @ (c_Repl @ c_Empty @ (^[Y7 : $i]: (c_Repl @ Y7 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1)) @ (^[Y7 : $i]: (c_Repl @ Y7 @ c_Inj1))) @ (c_Repl @ (c_Repl @ c_Empty @ c_Inj1) @ c_Inj1)) @ c_Inj1)) @ (^[Y7 : $i]: (c_Repl @ Y7 @ c_Inj1))) @ (c_Repl @ (c_binunion @ (c_Repl @ c_Empty @ (^[Y7 : $i]: (c_Repl @ Y7 @ c_Inj1))) @ (c_Repl @ (c_Inj1 @ (c_binunion @ (c_Repl @ c_Empty @ (^[Y7 : $i]: (c_Repl @ Y7 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1))) @ c_Inj1)) @ c_Inj1))) => (Y0 @ (^[Y7 : $i]: ((^[Y8 : $i > $i > $i]: (Y6)))) @ (c_binunion @ (c_Repl @ (Y4 @ (^[Y7 : ($i > $i) > $i > $i]: (Y6))) @ (^[Y7 : $i]: (c_Repl @ Y7 @ c_Inj1))) @ (c_Repl @ Y5 @ c_Inj1)) @ (c_Repl @ (c_Inj1 @ (c_binunion @ (c_Repl @ (c_binunion @ (c_Repl @ c_Empty @ (^[Y7 : $i]: (c_Repl @ Y7 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1)) @ (^[Y7 : $i]: (c_Repl @ Y7 @ c_Inj1))) @ (c_Repl @ (c_binunion @ (c_Repl @ c_Empty @ (^[Y7 : $i]: (c_Repl @ Y7 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1)) @ c_Inj1))) @ c_Inj1))))))))) => ((!! @ ($i > (($i > $i) > $i > $i) > $i) @ (^[Y4 : $i > (($i > $i) > $i > $i) > $i]: (!! @ (((($i > $i) > $i > $i) > ($i > $i) > $i > $i) > ($i > $i > $i) > $i) @ (^[Y5 : ((($i > $i) > $i > $i) > ($i > $i) > $i > $i) > ($i > $i > $i) > $i]: (!! @ $i @ (^[Y6 : $i]: ((c_In @ (c_Repl @ c_Empty @ c_Inj1) @ (c_binunion @ (c_Repl @ c_Empty @ (^[Y7 : $i]: (c_Repl @ Y7 @ c_Inj1))) @ (c_Repl @ (Y4 @ (c_Repl @ (c_binunion @ (c_Repl @ c_Empty @ (^[Y7 : $i]: (c_Repl @ Y7 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1)) @ c_Inj1) @ (^[Y7 : $i > $i]: ((^[Y8 : $i]: (c_Repl @ c_Empty @ c_Inj1))))) @ c_Inj1))) => ((Y3 @ (^[Y7 : $i]: ((^[Y8 : $i]: ((^[Y9 : ($i > $i) > $i > $i]: (Y7)))))) @ Y6 @ (Y5 @ (^[Y7 : ($i > $i) > $i > $i]: ((^[Y8 : $i > $i]: ((^[Y9 : $i]: (c_Inj1 @ c_Empty)))))) @ (^[Y7 : $i]: ((^[Y8 : $i]: (c_Empty)))))) => (Y2 @ (^[Y7 : $i]: (Y7)) @ (^[Y7 : (($i > $i) > $i) > $i]: ((^[Y8 : $i > $i > $i]: ((^[Y9 : $i]: ((^[Y10 : $i]: (Y9)))))))) @ (c_binunion @ (c_Repl @ (c_Repl @ c_Empty @ c_Inj1) @ (^[Y7 : $i]: (c_Repl @ Y7 @ c_Inj1))) @ (c_Repl @ (Y5 @ (^[Y7 : ($i > $i) > $i > $i]: ((^[Y8 : $i > $i]: ((^[Y9 : $i]: (c_Repl @ c_Empty @ c_Inj1)))))) @ (^[Y7 : $i]: ((^[Y8 : $i]: (Y8))))) @ c_Inj1))))))))))) => ((!! @ ($i > $i) @ (^[Y4 : $i > $i]: (!! @ $i @ (^[Y5 : $i]: (!! @ ($i > $i > $i) @ (^[Y6 : $i > $i > $i]: ((c_In @ (c_Repl @ (c_Inj1 @ c_Empty) @ c_Inj1) @ (c_binunion @ (c_Repl @ (c_binunion @ (c_Repl @ (c_Repl @ c_Empty @ c_Inj1) @ (^[Y7 : $i]: (c_Repl @ Y7 @ c_Inj1))) @ (c_Repl @ (c_binunion @ (c_Repl @ (c_binunion @ (c_Repl @ c_Empty @ (^[Y7 : $i]: (c_Repl @ Y7 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1)) @ (^[Y7 : $i]: (c_Repl @ Y7 @ c_Inj1))) @ (c_Repl @ (c_binunion @ (c_Repl @ c_Empty @ (^[Y7 : $i]: (c_Repl @ Y7 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1)) @ c_Inj1)) @ c_Inj1)) @ (^[Y7 : $i]: (c_Repl @ Y7 @ c_Inj1))) @ (c_Repl @ (c_binunion @ (c_Repl @ c_Empty @ (^[Y7 : $i]: (c_Repl @ Y7 @ c_Inj1))) @ (c_Repl @ (c_binunion @ (c_Repl @ (c_Repl @ c_Empty @ c_Inj1) @ (^[Y7 : $i]: (c_Repl @ Y7 @ c_Inj1))) @ (c_Repl @ (Y6 @ c_Empty @ c_Empty) @ c_Inj1)) @ c_Inj1)) @ c_Inj1))) => ((Y2 @ (^[Y7 : $i]: (c_Empty)) @ (^[Y7 : (($i > $i) > $i) > $i]: ((^[Y8 : $i > $i > $i]: ((^[Y9 : $i]: ((^[Y10 : $i]: (c_Empty)))))))) @ (c_binunion @ (c_Repl @ (c_binunion @ (c_Repl @ c_Empty @ (^[Y7 : $i]: (c_Repl @ Y7 @ c_Inj1))) @ (c_Repl @ (c_binunion @ (c_Repl @ (c_binunion @ (c_Repl @ c_Empty @ (^[Y7 : $i]: (c_Repl @ Y7 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1)) @ (^[Y7 : $i]: (c_Repl @ Y7 @ c_Inj1))) @ (c_Repl @ (c_Repl @ c_Empty @ c_Inj1) @ c_Inj1)) @ c_Inj1)) @ (^[Y7 : $i]: (c_Repl @ Y7 @ c_Inj1))) @ (c_Repl @ (c_Inj1 @ Y5) @ c_Inj1))) => (Y1 @ (^[Y7 : $i]: ((^[Y8 : ($i > $i) > $i]: (c_Repl @ c_Empty @ c_Inj1)))) @ (Y6 @ c_Empty @ (Y4 @ (c_binunion @ (c_Repl @ (c_Inj1 @ c_Empty) @ (^[Y7 : $i]: (c_Repl @ Y7 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1))))))))))))) => (((Y0 @ (^[Y4 : $i]: ((^[Y5 : $i > $i > $i]: (c_Empty)))) @ c_Empty @ c_Empty) => (Y1 @ (^[Y4 : $i]: ((^[Y5 : ($i > $i) > $i]: (Y5 @ (^[Y6 : $i]: (c_binunion @ (c_Repl @ (c_Inj1 @ (c_Repl @ c_Empty @ c_Inj1)) @ (^[Y7 : $i]: (c_Repl @ Y7 @ c_Inj1))) @ (c_Repl @ (c_binunion @ (c_Repl @ c_Empty @ (^[Y7 : $i]: (c_Repl @ Y7 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1)) @ c_Inj1))))))) @ c_Empty)) => ((!! @ $i @ (^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: (!! @ $i @ (^[Y6 : $i]: (!! @ $i @ (^[Y7 : $i]: ((c_In @ (c_Repl @ Y4 @ c_Inj1) @ (c_binunion @ (c_Repl @ (c_binunion @ (c_Repl @ Y7 @ (^[Y8 : $i]: (c_Repl @ Y8 @ c_Inj1))) @ (c_Repl @ (c_binunion @ (c_Repl @ Y5 @ (^[Y8 : $i]: (c_Repl @ Y8 @ c_Inj1))) @ (c_Repl @ (c_binunion @ (c_Repl @ c_Empty @ (^[Y8 : $i]: (c_Repl @ Y8 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1)) @ c_Inj1)) @ c_Inj1)) @ (^[Y8 : $i]: (c_Repl @ Y8 @ c_Inj1))) @ (c_Repl @ (c_Inj1 @ (c_binunion @ (c_Repl @ Y5 @ (^[Y8 : $i]: (c_Repl @ Y8 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1))) @ c_Inj1))) => ((Y1 @ (^[Y8 : $i]: ((^[Y9 : ($i > $i) > $i]: (Y6)))) @ c_Empty) => (Y2 @ (^[Y8 : $i]: (c_Empty)) @ (^[Y8 : (($i > $i) > $i) > $i]: ((^[Y9 : $i > $i > $i]: ((^[Y10 : $i]: ((^[Y11 : $i]: (c_binunion @ (c_Repl @ c_Empty @ (^[Y12 : $i]: (c_Repl @ Y12 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1))))))))) @ Y5))))))))))) => ((!! @ $i @ (^[Y4 : $i]: (!! @ (((($i > $i) > $i > $i) > $i) > $i) @ (^[Y5 : ((($i > $i) > $i > $i) > $i) > $i]: ((c_In @ (c_Inj1 @ c_Empty) @ Y4) => ((Y1 @ (^[Y6 : $i]: ((^[Y7 : ($i > $i) > $i]: (c_Empty)))) @ c_Empty) => (Y3 @ (^[Y6 : $i]: ((^[Y7 : $i]: ((^[Y8 : ($i > $i) > $i > $i]: (c_Inj1 @ c_Empty)))))) @ (c_Inj1 @ (c_Inj1 @ (Y5 @ (^[Y6 : ($i > $i) > $i > $i]: (c_Empty))))) @ (c_Inj1 @ (c_binunion @ (c_Repl @ (c_binunion @ (c_Repl @ (c_Repl @ c_Empty @ c_Inj1) @ (^[Y6 : $i]: (c_Repl @ Y6 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1)) @ (^[Y6 : $i]: (c_Repl @ Y6 @ c_Inj1))) @ (c_Repl @ (c_Inj1 @ (c_Repl @ c_Empty @ c_Inj1)) @ c_Inj1)))))))))) => ((!! @ $i @ (^[Y4 : $i]: (!! @ ($i > $i) @ (^[Y5 : $i > $i]: ((Y3 @ (^[Y6 : $i]: ((^[Y7 : $i]: ((^[Y8 : ($i > $i) > $i > $i]: (c_Empty)))))) @ (Y5 @ c_Empty) @ Y4) => (!! @ $o @ (^[Y6 : $o]: (Y6)))))))) => (!! @ $o @ (^[Y4 : $o]: (Y4))))))))))))))))))) => (!! @ $o @ (^[Y0 : $o]: (Y0)))) = $false)),
% 184.35/23.67 inference(not_proxy_clausification,[],[f306])).
% 184.35/23.67 thf(f306,plain,(
% 184.35/23.67 ($true = (~ ((!! @ (($i > ($i > $i > $i) > $i) > $i > $i > $o) @ (^[Y0 : ($i > ($i > $i > $i) > $i) > $i > $i > $o]: (!! @ (($i > (($i > $i) > $i) > $i) > $i > $o) @ (^[Y1 : ($i > (($i > $i) > $i) > $i) > $i > $o]: (!! @ (($i > $i) > (((($i > $i) > $i) > $i) > ($i > $i > $i) > $i > $i > $i) > $i > $o) @ (^[Y2 : ($i > $i) > (((($i > $i) > $i) > $i) > ($i > $i > $i) > $i > $i > $i) > $i > $o]: (!! @ (($i > $i > (($i > $i) > $i > $i) > $i) > $i > $i > $o) @ (^[Y3 : ($i > $i > (($i > $i) > $i > $i) > $i) > $i > $i > $o]: ((!! @ ((($i > $i > $i) > ($i > $i) > $i > $i) > $i) @ (^[Y4 : (($i > $i > $i) > ($i > $i) > $i > $i) > $i]: (!! @ $i @ (^[Y5 : $i]: (!! @ $i @ (^[Y6 : $i]: ((c_In @ (c_Repl @ Y5 @ c_Inj1) @ (c_binunion @ (c_Repl @ (c_binunion @ (c_Repl @ c_Empty @ (^[Y7 : $i]: (c_Repl @ Y7 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1)) @ (^[Y7 : $i]: (c_Repl @ Y7 @ c_Inj1))) @ (c_Repl @ (c_binunion @ (c_Repl @ Y5 @ (^[Y7 : $i]: (c_Repl @ Y7 @ c_Inj1))) @ (c_Repl @ (c_Repl @ (c_binunion @ (c_Repl @ c_Empty @ (^[Y7 : $i]: (c_Repl @ Y7 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1)) @ c_Inj1) @ c_Inj1)) @ c_Inj1))) => ((Y2 @ (^[Y7 : $i]: (c_Repl @ (c_Repl @ c_Empty @ c_Inj1) @ c_Inj1)) @ (^[Y7 : (($i > $i) > $i) > $i]: ((^[Y8 : $i > $i > $i]: ((^[Y9 : $i]: ((^[Y10 : $i]: (Y9)))))))) @ (c_binunion @ (c_Repl @ (Y4 @ (^[Y7 : $i > $i > $i]: ((^[Y8 : $i > $i]: ((^[Y9 : $i]: (c_Repl @ (c_binunion @ (c_Repl @ c_Empty @ (^[Y10 : $i]: (c_Repl @ Y10 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1)) @ c_Inj1))))))) @ (^[Y7 : $i]: (c_Repl @ Y7 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1))) => (Y0 @ (^[Y7 : $i]: ((^[Y8 : $i > $i > $i]: (c_Repl @ Y7 @ c_Inj1)))) @ Y6 @ (c_binunion @ (c_Repl @ (c_binunion @ (c_Repl @ (c_binunion @ (c_Repl @ c_Empty @ (^[Y7 : $i]: (c_Repl @ Y7 @ c_Inj1))) @ (c_Repl @ (c_binunion @ (c_Repl @ c_Empty @ (^[Y7 : $i]: (c_Repl @ Y7 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1)) @ c_Inj1)) @ (^[Y7 : $i]: (c_Repl @ Y7 @ c_Inj1))) @ (c_Repl @ (c_Repl @ c_Empty @ c_Inj1) @ c_Inj1)) @ (^[Y7 : $i]: (c_Repl @ Y7 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1))))))))))) => ((!! @ (((($i > $i) > $i > $i) > $i) > $i) @ (^[Y4 : ((($i > $i) > $i > $i) > $i) > $i]: (!! @ $i @ (^[Y5 : $i]: (!! @ $i @ (^[Y6 : $i]: ((Y0 @ (^[Y7 : $i]: ((^[Y8 : $i > $i > $i]: (c_Empty)))) @ Y6 @ (c_binunion @ (c_Repl @ (c_binunion @ (c_Repl @ (c_binunion @ (c_Repl @ (c_binunion @ (c_Repl @ c_Empty @ (^[Y7 : $i]: (c_Repl @ Y7 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1)) @ (^[Y7 : $i]: (c_Repl @ Y7 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1)) @ (^[Y7 : $i]: (c_Repl @ Y7 @ c_Inj1))) @ (c_Repl @ (c_binunion @ (c_Repl @ (c_binunion @ (c_Repl @ c_Empty @ (^[Y7 : $i]: (c_Repl @ Y7 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1)) @ (^[Y7 : $i]: (c_Repl @ Y7 @ c_Inj1))) @ (c_Repl @ (c_Repl @ c_Empty @ c_Inj1) @ c_Inj1)) @ c_Inj1)) @ (^[Y7 : $i]: (c_Repl @ Y7 @ c_Inj1))) @ (c_Repl @ (c_binunion @ (c_Repl @ c_Empty @ (^[Y7 : $i]: (c_Repl @ Y7 @ c_Inj1))) @ (c_Repl @ (c_Inj1 @ (c_binunion @ (c_Repl @ c_Empty @ (^[Y7 : $i]: (c_Repl @ Y7 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1))) @ c_Inj1)) @ c_Inj1))) => (Y0 @ (^[Y7 : $i]: ((^[Y8 : $i > $i > $i]: (Y6)))) @ (c_binunion @ (c_Repl @ (Y4 @ (^[Y7 : ($i > $i) > $i > $i]: (Y6))) @ (^[Y7 : $i]: (c_Repl @ Y7 @ c_Inj1))) @ (c_Repl @ Y5 @ c_Inj1)) @ (c_Repl @ (c_Inj1 @ (c_binunion @ (c_Repl @ (c_binunion @ (c_Repl @ c_Empty @ (^[Y7 : $i]: (c_Repl @ Y7 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1)) @ (^[Y7 : $i]: (c_Repl @ Y7 @ c_Inj1))) @ (c_Repl @ (c_binunion @ (c_Repl @ c_Empty @ (^[Y7 : $i]: (c_Repl @ Y7 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1)) @ c_Inj1))) @ c_Inj1))))))))) => ((!! @ ($i > (($i > $i) > $i > $i) > $i) @ (^[Y4 : $i > (($i > $i) > $i > $i) > $i]: (!! @ (((($i > $i) > $i > $i) > ($i > $i) > $i > $i) > ($i > $i > $i) > $i) @ (^[Y5 : ((($i > $i) > $i > $i) > ($i > $i) > $i > $i) > ($i > $i > $i) > $i]: (!! @ $i @ (^[Y6 : $i]: ((c_In @ (c_Repl @ c_Empty @ c_Inj1) @ (c_binunion @ (c_Repl @ c_Empty @ (^[Y7 : $i]: (c_Repl @ Y7 @ c_Inj1))) @ (c_Repl @ (Y4 @ (c_Repl @ (c_binunion @ (c_Repl @ c_Empty @ (^[Y7 : $i]: (c_Repl @ Y7 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1)) @ c_Inj1) @ (^[Y7 : $i > $i]: ((^[Y8 : $i]: (c_Repl @ c_Empty @ c_Inj1))))) @ c_Inj1))) => ((Y3 @ (^[Y7 : $i]: ((^[Y8 : $i]: ((^[Y9 : ($i > $i) > $i > $i]: (Y7)))))) @ Y6 @ (Y5 @ (^[Y7 : ($i > $i) > $i > $i]: ((^[Y8 : $i > $i]: ((^[Y9 : $i]: (c_Inj1 @ c_Empty)))))) @ (^[Y7 : $i]: ((^[Y8 : $i]: (c_Empty)))))) => (Y2 @ (^[Y7 : $i]: (Y7)) @ (^[Y7 : (($i > $i) > $i) > $i]: ((^[Y8 : $i > $i > $i]: ((^[Y9 : $i]: ((^[Y10 : $i]: (Y9)))))))) @ (c_binunion @ (c_Repl @ (c_Repl @ c_Empty @ c_Inj1) @ (^[Y7 : $i]: (c_Repl @ Y7 @ c_Inj1))) @ (c_Repl @ (Y5 @ (^[Y7 : ($i > $i) > $i > $i]: ((^[Y8 : $i > $i]: ((^[Y9 : $i]: (c_Repl @ c_Empty @ c_Inj1)))))) @ (^[Y7 : $i]: ((^[Y8 : $i]: (Y8))))) @ c_Inj1))))))))))) => ((!! 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@ $i @ (^[Y4 : $i]: (!! @ ($i > $i) @ (^[Y5 : $i > $i]: ((Y3 @ (^[Y6 : $i]: ((^[Y7 : $i]: ((^[Y8 : ($i > $i) > $i > $i]: (c_Empty)))))) @ (Y5 @ c_Empty) @ Y4) => (!! @ $o @ (^[Y6 : $o]: (Y6)))))))) => (!! @ $o @ (^[Y4 : $o]: (Y4))))))))))))))))))) => (!! @ $o @ (^[Y0 : $o]: (Y0))))))),
% 184.35/23.67 inference(beta_eta_normalization,[],[f300])).
% 184.35/23.67 thf(f300,plain,(
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@ $i @ (^[Y4 : $i]: (!! @ (((($i > $i) > $i > $i) > $i) > $i) @ (^[Y5 : ((($i > $i) > $i > $i) > $i) > $i]: ((c_In @ (c_Inj1 @ c_Empty) @ Y4) => ((Y1 @ (^[Y6 : $i]: ((^[Y7 : ($i > $i) > $i]: (c_Empty)))) @ c_Empty) => (Y3 @ (^[Y6 : $i]: ((^[Y7 : $i]: ((^[Y8 : ($i > $i) > $i > $i]: (c_Inj1 @ c_Empty)))))) @ (c_Inj1 @ (c_Inj1 @ (Y5 @ (^[Y6 : ($i > $i) > $i > $i]: (c_Empty))))) @ (c_Inj1 @ ((^[Y6 : $i]: ((^[Y7 : $i]: (c_binunion @ (c_Repl @ Y6 @ (^[Y8 : $i]: ((^[Y9 : $i]: (c_Repl @ Y9 @ (^[Y10 : $i]: (c_Inj1 @ Y10)))) @ Y8))) @ (c_Repl @ Y7 @ (^[Y8 : $i]: (c_Inj1 @ Y8))))))) @ ((^[Y6 : $i]: ((^[Y7 : $i]: (c_binunion @ (c_Repl @ Y6 @ (^[Y8 : $i]: ((^[Y9 : $i]: (c_Repl @ Y9 @ (^[Y10 : $i]: (c_Inj1 @ Y10)))) @ Y8))) @ (c_Repl @ Y7 @ (^[Y8 : $i]: (c_Inj1 @ Y8))))))) @ ((^[Y6 : $i]: (c_Repl @ Y6 @ (^[Y7 : $i]: (c_Inj1 @ Y7)))) @ c_Empty) @ c_Empty) @ (c_Inj1 @ ((^[Y6 : $i]: (c_Repl @ Y6 @ (^[Y7 : $i]: (c_Inj1 @ Y7)))) @ c_Empty))))))))))) => ((!! @ $i @ (^[Y4 : $i]: (!! @ ($i > $i) @ (^[Y5 : $i > $i]: ((Y3 @ (^[Y6 : $i]: ((^[Y7 : $i]: ((^[Y8 : ($i > $i) > $i > $i]: (c_Empty)))))) @ (Y5 @ c_Empty) @ Y4) => (!! @ $o @ (^[Y6 : $o]: (Y6)))))))) => (!! @ $o @ (^[Y4 : $o]: (Y4))))))))))))))))))))))),
% 184.35/23.67 inference(definition_unfolding,[],[f288,f299,f292,f298,f298,f298,f292,f298,f292,f292,f298,f292,f298,f292,f298,f298,f298,f298,f292,f298,f298,f298,f298,f298,f298,f292,f298,f298,f298,f292,f298,f298,f298,f292,f298,f292,f298,f292,f298,f292,f292,f292,f298,f298,f292,f298,f298,f298,f298,f298,f292,f298,f298,f298,f298,f292,f292,f298,f298,f292,f298,f292,f298,f298,f298,f298,f298,f298,f298,f298,f292,f292,f296,f296])).
% 184.35/23.67 thf(f296,plain,(
% 184.35/23.67 (c_False = (!! @ $o @ (^[Y0 : $o]: (Y0))))),
% 184.35/23.67 inference(cnf_transformation,[],[f117])).
% 184.35/23.67 thf(f117,plain,(
% 184.35/23.67 (c_False = (!! @ $o @ (^[Y0 : $o]: (Y0))))),
% 184.35/23.67 inference(fool_elimination,[],[f116])).
% 184.35/23.67 thf(f116,plain,(
% 184.35/23.67 (c_False = ! [X0 : $o] : X0)),
% 184.35/23.67 inference(rectify,[],[f11])).
% 184.35/23.67 thf(f11,axiom,(
% 184.35/23.67 (c_False = ! [X0 : $o] : X0)),
% 184.35/23.67 file('/export/starexec/sandbox/tmp/tmp.ZDz2q55HQ7/Vampire---4.8_14877',ax11)).
% 184.35/23.67 thf(f298,plain,(
% 184.35/23.67 (c_setsum = (^[Y0 : $i]: ((^[Y1 : $i]: (c_binunion @ (c_Repl @ Y0 @ (^[Y2 : $i]: ((^[Y3 : $i]: (c_Repl @ Y3 @ (^[Y4 : $i]: (c_Inj1 @ Y4)))) @ Y2))) @ (c_Repl @ Y1 @ (^[Y2 : $i]: (c_Inj1 @ Y2))))))))),
% 184.35/23.67 inference(definition_unfolding,[],[f297,f292])).
% 184.35/23.67 thf(f297,plain,(
% 184.35/23.67 (c_setsum = (^[Y0 : $i]: ((^[Y1 : $i]: (c_binunion @ (c_Repl @ Y0 @ (^[Y2 : $i]: (c_Inj0 @ Y2))) @ (c_Repl @ Y1 @ (^[Y2 : $i]: (c_Inj1 @ Y2))))))))),
% 184.35/23.67 inference(cnf_transformation,[],[f237])).
% 184.35/23.67 thf(f237,plain,(
% 184.35/23.67 (c_setsum = (^[Y0 : $i]: ((^[Y1 : $i]: (c_binunion @ (c_Repl @ Y0 @ (^[Y2 : $i]: (c_Inj0 @ Y2))) @ (c_Repl @ Y1 @ (^[Y2 : $i]: (c_Inj1 @ Y2))))))))),
% 184.35/23.67 inference(fool_elimination,[],[f236])).
% 184.35/23.67 thf(f236,plain,(
% 184.35/23.67 (c_setsum = (^[X0 : $i, X1 : $i] : (c_binunion @ (c_Repl @ X0 @ (^[X2 : $i] : (c_Inj0 @ X2))) @ (c_Repl @ X1 @ (^[X3 : $i] : (c_Inj1 @ X3))))))),
% 184.35/23.67 inference(rectify,[],[f73])).
% 184.35/23.67 thf(f73,axiom,(
% 184.35/23.67 (c_setsum = (^[X0 : $i, X1 : $i] : (c_binunion @ (c_Repl @ X0 @ (^[X2 : $i] : (c_Inj0 @ X2))) @ (c_Repl @ X1 @ (^[X2 : $i] : (c_Inj1 @ X2))))))),
% 184.35/23.67 file('/export/starexec/sandbox/tmp/tmp.ZDz2q55HQ7/Vampire---4.8_14877',ax73)).
% 184.35/23.67 thf(f292,plain,(
% 184.35/23.67 (c_Inj0 = (^[Y0 : $i]: (c_Repl @ Y0 @ (^[Y1 : $i]: (c_Inj1 @ Y1)))))),
% 184.35/23.67 inference(cnf_transformation,[],[f225])).
% 184.35/23.67 thf(f225,plain,(
% 184.35/23.67 (c_Inj0 = (^[Y0 : $i]: (c_Repl @ Y0 @ (^[Y1 : $i]: (c_Inj1 @ Y1)))))),
% 184.35/23.67 inference(fool_elimination,[],[f70])).
% 184.35/23.67 thf(f70,axiom,(
% 184.35/23.67 ((^[X0 : $i] : (c_Repl @ X0 @ (^[X1 : $i] : (c_Inj1 @ X1)))) = c_Inj0)),
% 184.35/23.67 file('/export/starexec/sandbox/tmp/tmp.ZDz2q55HQ7/Vampire---4.8_14877',ax70)).
% 184.35/23.67 thf(f299,plain,(
% 184.35/23.67 (c_not = (^[Y0 : $o]: (Y0 => (!! @ $o @ (^[Y1 : $o]: (Y1))))))),
% 184.35/23.67 inference(definition_unfolding,[],[f291,f296])).
% 184.35/23.67 thf(f291,plain,(
% 184.35/23.67 (c_not = (^[Y0 : $o]: (Y0 => c_False)))),
% 184.35/23.67 inference(cnf_transformation,[],[f185])).
% 184.35/23.67 thf(f185,plain,(
% 184.35/23.67 (c_not = (^[Y0 : $o]: (Y0 => c_False)))),
% 184.35/23.67 inference(fool_elimination,[],[f184])).
% 184.35/23.67 thf(f184,plain,(
% 184.35/23.67 (c_not = (^[X0 : $o] : (X0 => c_False)))),
% 184.35/23.67 inference(rectify,[],[f13])).
% 184.35/23.67 thf(f13,axiom,(
% 184.35/23.67 (c_not = (^[X0 : $o] : (X0 => c_False)))),
% 184.35/23.67 file('/export/starexec/sandbox/tmp/tmp.ZDz2q55HQ7/Vampire---4.8_14877',ax13)).
% 184.35/23.67 thf(f288,plain,(
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@ (((($i > $i) > $i > $i) > $i) > $i) @ (^[Y4 : ((($i > $i) > $i > $i) > $i) > $i]: (!! @ $i @ (^[Y5 : $i]: (!! @ $i @ (^[Y6 : $i]: ((Y0 @ (^[Y7 : $i]: ((^[Y8 : $i > $i > $i]: (c_Empty)))) @ Y6 @ (c_setsum @ (c_setsum @ (c_setsum @ (c_setsum @ c_Empty @ c_Empty) @ c_Empty) @ (c_setsum @ (c_setsum @ c_Empty @ c_Empty) @ (c_Inj0 @ c_Empty))) @ (c_setsum @ c_Empty @ (c_Inj1 @ (c_setsum @ c_Empty @ c_Empty))))) => (Y0 @ (^[Y7 : $i]: ((^[Y8 : $i > $i > $i]: (Y6)))) @ (c_setsum @ (Y4 @ (^[Y7 : ($i > $i) > $i > $i]: (Y6))) @ Y5) @ (c_Inj0 @ (c_Inj1 @ (c_setsum @ (c_setsum @ c_Empty @ c_Empty) @ (c_setsum @ c_Empty @ c_Empty)))))))))))) => ((!! @ ($i > (($i > $i) > $i > $i) > $i) @ (^[Y4 : $i > (($i > $i) > $i > $i) > $i]: (!! @ (((($i > $i) > $i > $i) > ($i > $i) > $i > $i) > ($i > $i > $i) > $i) @ (^[Y5 : ((($i > $i) > $i > $i) > ($i > $i) > $i > $i) > ($i > $i > $i) > $i]: (!! @ $i @ (^[Y6 : $i]: ((c_In @ (c_Inj0 @ c_Empty) @ (c_setsum @ c_Empty @ (Y4 @ (c_Inj0 @ (c_setsum @ c_Empty @ c_Empty)) @ (^[Y7 : $i > $i]: ((^[Y8 : $i]: (c_Inj0 @ c_Empty))))))) => ((Y3 @ (^[Y7 : $i]: ((^[Y8 : $i]: ((^[Y9 : ($i > $i) > $i > $i]: (Y7)))))) @ Y6 @ (Y5 @ (^[Y7 : ($i > $i) > $i > $i]: ((^[Y8 : $i > $i]: ((^[Y9 : $i]: (c_Inj1 @ c_Empty)))))) @ (^[Y7 : $i]: ((^[Y8 : $i]: (c_Empty)))))) => (Y2 @ (^[Y7 : $i]: (Y7)) @ (^[Y7 : (($i > $i) > $i) > $i]: ((^[Y8 : $i > $i > $i]: ((^[Y9 : $i]: ((^[Y10 : $i]: (Y9)))))))) @ (c_setsum @ (c_Inj0 @ c_Empty) @ (Y5 @ (^[Y7 : ($i > $i) > $i > $i]: ((^[Y8 : $i > $i]: ((^[Y9 : $i]: (c_Inj0 @ c_Empty)))))) @ (^[Y7 : $i]: ((^[Y8 : $i]: (Y8))))))))))))))) => ((!! @ ($i > $i) @ (^[Y4 : $i > $i]: (!! @ $i @ (^[Y5 : $i]: (!! @ ($i > $i > $i) @ (^[Y6 : $i > $i > $i]: ((c_In @ (c_Inj0 @ (c_Inj1 @ c_Empty)) @ (c_setsum @ (c_setsum @ (c_Inj0 @ c_Empty) @ (c_setsum @ (c_setsum @ c_Empty @ c_Empty) @ (c_setsum @ c_Empty @ c_Empty))) @ (c_setsum @ c_Empty @ (c_setsum @ (c_Inj0 @ c_Empty) @ (Y6 @ c_Empty @ c_Empty))))) => ((Y2 @ (^[Y7 : $i]: (c_Empty)) @ (^[Y7 : (($i > $i) > $i) > $i]: ((^[Y8 : $i > $i > $i]: ((^[Y9 : $i]: ((^[Y10 : $i]: (c_Empty)))))))) @ (c_setsum @ (c_setsum @ c_Empty @ (c_setsum @ (c_setsum @ c_Empty @ c_Empty) @ (c_Inj0 @ c_Empty))) @ (c_Inj1 @ Y5))) => (Y1 @ (^[Y7 : $i]: ((^[Y8 : ($i > $i) > $i]: (c_Inj0 @ c_Empty)))) @ (Y6 @ c_Empty @ (Y4 @ (c_setsum @ (c_Inj1 @ c_Empty) @ c_Empty)))))))))))) => (((Y0 @ (^[Y4 : $i]: ((^[Y5 : $i > $i > $i]: (c_Empty)))) @ c_Empty @ c_Empty) => (Y1 @ (^[Y4 : $i]: ((^[Y5 : ($i > $i) > $i]: (Y5 @ (^[Y6 : $i]: (c_setsum @ (c_Inj1 @ (c_Inj0 @ c_Empty)) @ (c_setsum @ c_Empty @ c_Empty))))))) @ c_Empty)) => ((!! @ $i @ (^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: (!! @ $i @ (^[Y6 : $i]: (!! @ $i @ (^[Y7 : $i]: ((c_In @ (c_Inj0 @ Y4) @ (c_setsum @ (c_setsum @ Y7 @ (c_setsum @ Y5 @ (c_setsum @ c_Empty @ c_Empty))) @ (c_Inj1 @ (c_setsum @ Y5 @ c_Empty)))) => ((Y1 @ (^[Y8 : $i]: ((^[Y9 : ($i > $i) > $i]: (Y6)))) @ c_Empty) => (Y2 @ (^[Y8 : $i]: (c_Empty)) @ (^[Y8 : (($i > $i) > $i) > $i]: ((^[Y9 : $i > $i > $i]: ((^[Y10 : $i]: ((^[Y11 : $i]: (c_setsum @ c_Empty @ c_Empty)))))))) @ Y5))))))))))) => ((!! @ $i @ (^[Y4 : $i]: (!! @ (((($i > $i) > $i > $i) > $i) > $i) @ (^[Y5 : ((($i > $i) > $i > $i) > $i) > $i]: ((c_In @ (c_Inj1 @ c_Empty) @ Y4) => ((Y1 @ (^[Y6 : $i]: ((^[Y7 : ($i > $i) > $i]: (c_Empty)))) @ c_Empty) => (Y3 @ (^[Y6 : $i]: ((^[Y7 : $i]: ((^[Y8 : ($i > $i) > $i > $i]: (c_Inj1 @ c_Empty)))))) @ (c_Inj1 @ (c_Inj1 @ (Y5 @ (^[Y6 : ($i > $i) > $i > $i]: (c_Empty))))) @ (c_Inj1 @ (c_setsum @ (c_setsum @ (c_Inj0 @ c_Empty) @ c_Empty) @ (c_Inj1 @ (c_Inj0 @ c_Empty))))))))))) => ((!! @ $i @ (^[Y4 : $i]: (!! @ ($i > $i) @ (^[Y5 : $i > $i]: ((Y3 @ (^[Y6 : $i]: ((^[Y7 : $i]: ((^[Y8 : ($i > $i) > $i > $i]: (c_Empty)))))) @ (Y5 @ c_Empty) @ Y4) => c_False))))) => c_False)))))))))))))))))))),
% 184.35/23.67 inference(cnf_transformation,[],[f167])).
% 184.35/23.67 thf(f167,plain,(
% 184.35/23.67 ($true = (~ (c_not @ (!! @ (($i > ($i > $i > $i) > $i) > $i > $i > $o) @ (^[Y0 : ($i > ($i > $i > $i) > $i) > $i > $i > $o]: (!! @ (($i > (($i > $i) > $i) > $i) > $i > $o) @ (^[Y1 : ($i > (($i > $i) > $i) > $i) > $i > $o]: (!! @ (($i > $i) > (((($i > $i) > $i) > $i) > ($i > $i > $i) > $i > $i > $i) > $i > $o) @ (^[Y2 : ($i > $i) > (((($i > $i) > $i) > $i) > ($i > $i > $i) > $i > $i > $i) > $i > $o]: (!! @ (($i > $i > (($i > $i) > $i > $i) > $i) > $i > $i > $o) @ (^[Y3 : ($i > $i > (($i > $i) > $i > $i) > $i) > $i > $i > $o]: ((!! @ ((($i > $i > $i) > ($i > $i) > $i > $i) > $i) @ (^[Y4 : (($i > $i > $i) > ($i > $i) > $i > $i) > $i]: (!! @ $i @ (^[Y5 : $i]: (!! @ $i @ (^[Y6 : $i]: ((c_In @ (c_Inj0 @ Y5) @ (c_setsum @ (c_setsum @ c_Empty @ c_Empty) @ (c_setsum @ Y5 @ (c_Inj0 @ (c_setsum @ c_Empty @ c_Empty))))) => ((Y2 @ (^[Y7 : $i]: (c_Inj0 @ (c_Inj0 @ c_Empty))) @ (^[Y7 : (($i > $i) > $i) > $i]: ((^[Y8 : $i > $i > $i]: ((^[Y9 : $i]: ((^[Y10 : $i]: (Y9)))))))) @ (c_setsum @ (Y4 @ (^[Y7 : $i > $i > $i]: ((^[Y8 : $i > $i]: ((^[Y9 : $i]: (c_Inj0 @ (c_setsum @ c_Empty @ c_Empty)))))))) @ c_Empty)) => (Y0 @ (^[Y7 : $i]: ((^[Y8 : $i > $i > $i]: (c_Inj0 @ Y7)))) @ Y6 @ (c_setsum @ (c_setsum @ (c_setsum @ c_Empty @ (c_setsum @ c_Empty @ c_Empty)) @ (c_Inj0 @ c_Empty)) @ c_Empty)))))))))) => ((!! @ (((($i > $i) > $i > $i) > $i) > $i) @ (^[Y4 : ((($i > $i) > $i > $i) > $i) > $i]: (!! @ $i @ (^[Y5 : $i]: (!! @ $i @ (^[Y6 : $i]: ((Y0 @ (^[Y7 : $i]: ((^[Y8 : $i > $i > $i]: (c_Empty)))) @ Y6 @ (c_setsum @ (c_setsum @ (c_setsum @ (c_setsum @ c_Empty @ c_Empty) @ c_Empty) @ (c_setsum @ (c_setsum @ c_Empty @ c_Empty) @ (c_Inj0 @ c_Empty))) @ (c_setsum @ c_Empty @ (c_Inj1 @ (c_setsum @ c_Empty @ c_Empty))))) => (Y0 @ (^[Y7 : $i]: ((^[Y8 : $i > $i > $i]: (Y6)))) @ (c_setsum @ (Y4 @ (^[Y7 : ($i > $i) > $i > $i]: (Y6))) @ Y5) @ (c_Inj0 @ (c_Inj1 @ (c_setsum @ (c_setsum @ c_Empty @ c_Empty) @ (c_setsum @ c_Empty @ c_Empty)))))))))))) => ((!! @ ($i > (($i > $i) > $i > $i) > $i) @ (^[Y4 : $i > (($i > $i) > $i > $i) > $i]: (!! @ (((($i > $i) > $i > $i) > ($i > $i) > $i > $i) > ($i > $i > $i) > $i) @ (^[Y5 : ((($i > $i) > $i > $i) > ($i > $i) > $i > $i) > ($i > $i > $i) > $i]: (!! @ $i @ (^[Y6 : $i]: ((c_In @ (c_Inj0 @ c_Empty) @ (c_setsum @ c_Empty @ (Y4 @ (c_Inj0 @ (c_setsum @ c_Empty @ c_Empty)) @ (^[Y7 : $i > $i]: ((^[Y8 : $i]: (c_Inj0 @ c_Empty))))))) => ((Y3 @ (^[Y7 : $i]: ((^[Y8 : $i]: ((^[Y9 : ($i > $i) > $i > $i]: (Y7)))))) @ Y6 @ (Y5 @ (^[Y7 : ($i > $i) > $i > $i]: ((^[Y8 : $i > $i]: ((^[Y9 : $i]: (c_Inj1 @ c_Empty)))))) @ (^[Y7 : $i]: ((^[Y8 : $i]: (c_Empty)))))) => (Y2 @ (^[Y7 : $i]: (Y7)) @ (^[Y7 : (($i > $i) > $i) > $i]: ((^[Y8 : $i > $i > $i]: ((^[Y9 : $i]: ((^[Y10 : $i]: (Y9)))))))) @ (c_setsum @ (c_Inj0 @ c_Empty) @ (Y5 @ (^[Y7 : ($i > $i) > $i > $i]: ((^[Y8 : $i > $i]: ((^[Y9 : $i]: (c_Inj0 @ c_Empty)))))) @ (^[Y7 : $i]: ((^[Y8 : $i]: (Y8))))))))))))))) => ((!! @ ($i > $i) @ (^[Y4 : $i > $i]: (!! @ $i @ (^[Y5 : $i]: (!! @ ($i > $i > $i) @ (^[Y6 : $i > $i > $i]: ((c_In @ (c_Inj0 @ (c_Inj1 @ c_Empty)) @ (c_setsum @ (c_setsum @ (c_Inj0 @ c_Empty) @ (c_setsum @ (c_setsum @ c_Empty @ c_Empty) @ (c_setsum @ c_Empty @ c_Empty))) @ (c_setsum @ c_Empty @ (c_setsum @ (c_Inj0 @ c_Empty) @ (Y6 @ c_Empty @ c_Empty))))) => ((Y2 @ (^[Y7 : $i]: (c_Empty)) @ (^[Y7 : (($i > $i) > $i) > $i]: ((^[Y8 : $i > $i > $i]: ((^[Y9 : $i]: ((^[Y10 : $i]: (c_Empty)))))))) @ (c_setsum @ (c_setsum @ c_Empty @ (c_setsum @ (c_setsum @ c_Empty @ c_Empty) @ (c_Inj0 @ c_Empty))) @ (c_Inj1 @ Y5))) => (Y1 @ (^[Y7 : $i]: ((^[Y8 : ($i > $i) > $i]: (c_Inj0 @ c_Empty)))) @ (Y6 @ c_Empty @ (Y4 @ (c_setsum @ (c_Inj1 @ c_Empty) @ c_Empty)))))))))))) => (((Y0 @ (^[Y4 : $i]: ((^[Y5 : $i > $i > $i]: (c_Empty)))) @ c_Empty @ c_Empty) => (Y1 @ (^[Y4 : $i]: ((^[Y5 : ($i > $i) > $i]: (Y5 @ (^[Y6 : $i]: (c_setsum @ (c_Inj1 @ (c_Inj0 @ c_Empty)) @ (c_setsum @ c_Empty @ c_Empty))))))) @ c_Empty)) => ((!! @ $i @ (^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: (!! @ $i @ (^[Y6 : $i]: (!! @ $i @ (^[Y7 : $i]: ((c_In @ (c_Inj0 @ Y4) @ (c_setsum @ (c_setsum @ Y7 @ (c_setsum @ Y5 @ (c_setsum @ c_Empty @ c_Empty))) @ (c_Inj1 @ (c_setsum @ Y5 @ c_Empty)))) => ((Y1 @ (^[Y8 : $i]: ((^[Y9 : ($i > $i) > $i]: (Y6)))) @ c_Empty) => (Y2 @ (^[Y8 : $i]: (c_Empty)) @ (^[Y8 : (($i > $i) > $i) > $i]: ((^[Y9 : $i > $i > $i]: ((^[Y10 : $i]: ((^[Y11 : $i]: (c_setsum @ c_Empty @ c_Empty)))))))) @ Y5))))))))))) => ((!! @ $i @ (^[Y4 : $i]: (!! @ (((($i > $i) > $i > $i) > $i) > $i) @ (^[Y5 : ((($i > $i) > $i > $i) > $i) > $i]: ((c_In @ (c_Inj1 @ c_Empty) @ Y4) => ((Y1 @ (^[Y6 : $i]: ((^[Y7 : ($i > $i) > $i]: (c_Empty)))) @ c_Empty) => (Y3 @ (^[Y6 : $i]: ((^[Y7 : $i]: ((^[Y8 : ($i > $i) > $i > $i]: (c_Inj1 @ c_Empty)))))) @ (c_Inj1 @ (c_Inj1 @ (Y5 @ (^[Y6 : ($i > $i) > $i > $i]: (c_Empty))))) @ (c_Inj1 @ (c_setsum @ (c_setsum @ (c_Inj0 @ c_Empty) @ c_Empty) @ (c_Inj1 @ (c_Inj0 @ c_Empty))))))))))) => ((!! @ $i @ (^[Y4 : $i]: (!! @ ($i > $i) @ (^[Y5 : $i > $i]: ((Y3 @ (^[Y6 : $i]: ((^[Y7 : $i]: ((^[Y8 : ($i > $i) > $i > $i]: (c_Empty)))))) @ (Y5 @ c_Empty) @ Y4) => c_False))))) => c_False)))))))))))))))))))),
% 184.35/23.67 inference(fool_elimination,[],[f166])).
% 184.35/23.67 thf(f166,plain,(
% 184.35/23.67 ~(c_not @ ! [X0 : ($i > $i > (($i > $i) > $i > $i) > $i) > $i > $i > $o,X1 : ($i > $i) > (((($i > $i) > $i) > $i) > ($i > $i > $i) > $i > $i > $i) > $i > $o,X2 : ($i > (($i > $i) > $i) > $i) > $i > $o,X3 : ($i > ($i > $i > $i) > $i) > $i > $i > $o] : (! [X4,X5,X6 : (($i > $i > $i) > ($i > $i) > $i > $i) > $i] : ((c_In @ (c_Inj0 @ X5) @ (c_setsum @ (c_setsum @ c_Empty @ c_Empty) @ (c_setsum @ X5 @ (c_Inj0 @ (c_setsum @ c_Empty @ c_Empty))))) => ((X1 @ (^[X8 : $i] : (c_Inj0 @ (c_Inj0 @ c_Empty))) @ (^[X9 : (($i > $i) > $i) > $i, X10 : $i > $i > $i, X11 : $i, X12 : $i] : (X11)) @ (c_setsum @ (X6 @ (^[X13 : $i > $i > $i, X14 : $i > $i, X15 : $i] : (c_Inj0 @ (c_setsum @ c_Empty @ c_Empty)))) @ c_Empty)) => (X3 @ (^[X16 : $i, X17 : $i > $i > $i] : (c_Inj0 @ X16)) @ X4 @ (c_setsum @ (c_setsum @ (c_setsum @ c_Empty @ (c_setsum @ c_Empty @ c_Empty)) @ (c_Inj0 @ c_Empty)) @ c_Empty)))) => (! [X18,X19,X21 : ((($i > $i) > $i > $i) > $i) > $i] : ((X3 @ (^[X22 : $i, X23 : $i > $i > $i] : (c_Empty)) @ X18 @ (c_setsum @ (c_setsum @ (c_setsum @ (c_setsum @ c_Empty @ c_Empty) @ c_Empty) @ (c_setsum @ (c_setsum @ c_Empty @ c_Empty) @ (c_Inj0 @ c_Empty))) @ (c_setsum @ c_Empty @ (c_Inj1 @ (c_setsum @ c_Empty @ c_Empty))))) => (X3 @ (^[X24 : $i, X25 : $i > $i > $i] : (X18)) @ (c_setsum @ (X21 @ (^[X26 : ($i > $i) > $i > $i] : (X18))) @ X19) @ (c_Inj0 @ (c_Inj1 @ (c_setsum @ (c_setsum @ c_Empty @ c_Empty) @ (c_setsum @ c_Empty @ c_Empty)))))) => (! [X27,X29 : ((($i > $i) > $i > $i) > ($i > $i) > $i > $i) > ($i > $i > $i) > $i,X30 : $i > (($i > $i) > $i > $i) > $i] : ((c_In @ (c_Inj0 @ c_Empty) @ (c_setsum @ c_Empty @ (X30 @ (c_Inj0 @ (c_setsum @ c_Empty @ c_Empty)) @ (^[X31 : $i > $i, X32 : $i] : (c_Inj0 @ c_Empty))))) => ((X0 @ (^[X33 : $i, X34 : $i, X35 : ($i > $i) > $i > $i] : (X33)) @ X27 @ (X29 @ (^[X36 : ($i > $i) > $i > $i, X37 : $i > $i, X38 : $i] : (c_Inj1 @ c_Empty)) @ (^[X39 : $i, X40 : $i] : (c_Empty)))) => (X1 @ (^[X41 : $i] : (X41)) @ (^[X42 : (($i > $i) > $i) > $i, X43 : $i > $i > $i, X44 : $i, X45 : $i] : (X44)) @ (c_setsum @ (c_Inj0 @ c_Empty) @ (X29 @ (^[X46 : ($i > $i) > $i > $i, X47 : $i > $i, X48 : $i] : (c_Inj0 @ c_Empty)) @ (^[X49 : $i, X50 : $i] : (X50))))))) => (! [X51 : $i > $i > $i,X52,X54 : $i > $i] : ((c_In @ (c_Inj0 @ (c_Inj1 @ c_Empty)) @ (c_setsum @ (c_setsum @ (c_Inj0 @ c_Empty) @ (c_setsum @ (c_setsum @ c_Empty @ c_Empty) @ (c_setsum @ c_Empty @ c_Empty))) @ (c_setsum @ c_Empty @ (c_setsum @ (c_Inj0 @ c_Empty) @ (X51 @ c_Empty @ c_Empty))))) => ((X1 @ (^[X55 : $i] : (c_Empty)) @ (^[X56 : (($i > $i) > $i) > $i, X57 : $i > $i > $i, X58 : $i, X59 : $i] : (c_Empty)) @ (c_setsum @ (c_setsum @ c_Empty @ (c_setsum @ (c_setsum @ c_Empty @ c_Empty) @ (c_Inj0 @ c_Empty))) @ (c_Inj1 @ X52))) => (X2 @ (^[X60 : $i, X61 : ($i > $i) > $i] : (c_Inj0 @ c_Empty)) @ (X51 @ c_Empty @ (X54 @ (c_setsum @ (c_Inj1 @ c_Empty) @ c_Empty)))))) => (((X3 @ (^[X66 : $i, X67 : $i > $i > $i] : (c_Empty)) @ c_Empty @ c_Empty) => (X2 @ (^[X68 : $i, X69 : ($i > $i) > $i] : (X69 @ (^[X70 : $i] : (c_setsum @ (c_Inj1 @ (c_Inj0 @ c_Empty)) @ (c_setsum @ c_Empty @ c_Empty))))) @ c_Empty)) => (! [X71,X72,X73,X74] : ((c_In @ (c_Inj0 @ X74) @ (c_setsum @ (c_setsum @ X71 @ (c_setsum @ X73 @ (c_setsum @ c_Empty @ c_Empty))) @ (c_Inj1 @ (c_setsum @ X73 @ c_Empty)))) => ((X2 @ (^[X75 : $i, X76 : ($i > $i) > $i] : (X72)) @ c_Empty) => (X1 @ (^[X77 : $i] : (c_Empty)) @ (^[X78 : (($i > $i) > $i) > $i, X79 : $i > $i > $i, X80 : $i, X81 : $i] : (c_setsum @ c_Empty @ c_Empty)) @ X73))) => (! [X83 : ((($i > $i) > $i > $i) > $i) > $i,X84] : ((c_In @ (c_Inj1 @ c_Empty) @ X84) => ((X2 @ (^[X86 : $i, X87 : ($i > $i) > $i] : (c_Empty)) @ c_Empty) => (X0 @ (^[X88 : $i, X89 : $i, X90 : ($i > $i) > $i > $i] : (c_Inj1 @ c_Empty)) @ (c_Inj1 @ (c_Inj1 @ (X83 @ (^[X91 : ($i > $i) > $i > $i] : (c_Empty))))) @ (c_Inj1 @ (c_setsum @ (c_setsum @ (c_Inj0 @ c_Empty) @ c_Empty) @ (c_Inj1 @ (c_Inj0 @ c_Empty))))))) => (! [X94 : $i > $i,X95] : ((X0 @ (^[X96 : $i, X97 : $i, X98 : ($i > $i) > $i > $i] : (c_Empty)) @ (X94 @ c_Empty) @ X95) => c_False) => c_False)))))))))),
% 184.35/23.67 inference(rectify,[],[f110])).
% 184.35/23.67 thf(f110,negated_conjecture,(
% 184.35/23.67 ~(c_not @ ! [X0 : ($i > $i > (($i > $i) > $i > $i) > $i) > $i > $i > $o,X2 : ($i > $i) > (((($i > $i) > $i) > $i) > ($i > $i > $i) > $i > $i > $i) > $i > $o,X1 : ($i > (($i > $i) > $i) > $i) > $i > $o,X3 : ($i > ($i > $i > $i) > $i) > $i > $i > $o] : (! [X5,X6,X4 : (($i > $i > $i) > ($i > $i) > $i > $i) > $i,X7] : ((c_In @ (c_Inj0 @ X6) @ (c_setsum @ (c_setsum @ c_Empty @ c_Empty) @ (c_setsum @ X6 @ (c_Inj0 @ (c_setsum @ c_Empty @ c_Empty))))) => ((X2 @ (^[X8 : $i] : (c_Inj0 @ (c_Inj0 @ c_Empty))) @ (^[X8 : (($i > $i) > $i) > $i, X9 : $i > $i > $i, X10 : $i, X11 : $i] : (X10)) @ (c_setsum @ (X4 @ (^[X8 : $i > $i > $i, X9 : $i > $i, X10 : $i] : (c_Inj0 @ (c_setsum @ c_Empty @ c_Empty)))) @ c_Empty)) => (X3 @ (^[X8 : $i, X9 : $i > $i > $i] : (c_Inj0 @ X8)) @ X5 @ (c_setsum @ (c_setsum @ (c_setsum @ c_Empty @ (c_setsum @ c_Empty @ c_Empty)) @ (c_Inj0 @ c_Empty)) @ c_Empty)))) => (! [X7,X6,X5 : $i > $i,X4 : ((($i > $i) > $i > $i) > $i) > $i] : ((X3 @ (^[X8 : $i, X9 : $i > $i > $i] : (c_Empty)) @ X7 @ (c_setsum @ (c_setsum @ (c_setsum @ (c_setsum @ c_Empty @ c_Empty) @ c_Empty) @ (c_setsum @ (c_setsum @ c_Empty @ c_Empty) @ (c_Inj0 @ c_Empty))) @ (c_setsum @ c_Empty @ (c_Inj1 @ (c_setsum @ c_Empty @ c_Empty))))) => (X3 @ (^[X8 : $i, X9 : $i > $i > $i] : (X7)) @ (c_setsum @ (X4 @ (^[X8 : ($i > $i) > $i > $i] : (X7))) @ X6) @ (c_Inj0 @ (c_Inj1 @ (c_setsum @ (c_setsum @ c_Empty @ c_Empty) @ (c_setsum @ c_Empty @ c_Empty)))))) => (! [X7,X4,X6 : ((($i > $i) > $i > $i) > ($i > $i) > $i > $i) > ($i > $i > $i) > $i,X5 : $i > (($i > $i) > $i > $i) > $i] : ((c_In @ (c_Inj0 @ c_Empty) @ (c_setsum @ c_Empty @ (X5 @ (c_Inj0 @ (c_setsum @ c_Empty @ c_Empty)) @ (^[X8 : $i > $i, X9 : $i] : (c_Inj0 @ c_Empty))))) => ((X0 @ (^[X8 : $i, X9 : $i, X10 : ($i > $i) > $i > $i] : (X8)) @ X7 @ (X6 @ (^[X8 : ($i > $i) > $i > $i, X9 : $i > $i, X10 : $i] : (c_Inj1 @ c_Empty)) @ (^[X8 : $i, X9 : $i] : (c_Empty)))) => (X2 @ (^[X8 : $i] : (X8)) @ (^[X8 : (($i > $i) > $i) > $i, X9 : $i > $i > $i, X10 : $i, X11 : $i] : (X10)) @ (c_setsum @ (c_Inj0 @ c_Empty) @ (X6 @ (^[X8 : ($i > $i) > $i > $i, X9 : $i > $i, X10 : $i] : (c_Inj0 @ c_Empty)) @ (^[X8 : $i, X9 : $i] : (X9))))))) => (! [X4 : $i > $i > $i,X6,X7 : $i > $i,X5 : $i > $i] : ((c_In @ (c_Inj0 @ (c_Inj1 @ c_Empty)) @ (c_setsum @ (c_setsum @ (c_Inj0 @ c_Empty) @ (c_setsum @ (c_setsum @ c_Empty @ c_Empty) @ (c_setsum @ c_Empty @ c_Empty))) @ (c_setsum @ c_Empty @ (c_setsum @ (c_Inj0 @ c_Empty) @ (X4 @ c_Empty @ c_Empty))))) => ((X2 @ (^[X8 : $i] : (c_Empty)) @ (^[X8 : (($i > $i) > $i) > $i, X9 : $i > $i > $i, X10 : $i, X11 : $i] : (c_Empty)) @ (c_setsum @ (c_setsum @ c_Empty @ (c_setsum @ (c_setsum @ c_Empty @ c_Empty) @ (c_Inj0 @ c_Empty))) @ (c_Inj1 @ X6))) => (X1 @ (^[X8 : $i, X9 : ($i > $i) > $i] : (c_Inj0 @ c_Empty)) @ (X4 @ c_Empty @ (X5 @ (c_setsum @ (c_Inj1 @ c_Empty) @ c_Empty)))))) => (! [X5 : $i > $i,X6 : $i > $i,X4,X7] : ((X3 @ (^[X8 : $i, X9 : $i > $i > $i] : (c_Empty)) @ c_Empty @ c_Empty) => (X1 @ (^[X8 : $i, X9 : ($i > $i) > $i] : (X9 @ (^[X10 : $i] : (c_setsum @ (c_Inj1 @ (c_Inj0 @ c_Empty)) @ (c_setsum @ c_Empty @ c_Empty))))) @ c_Empty)) => (! [X4,X7,X5,X6] : ((c_In @ (c_Inj0 @ X6) @ (c_setsum @ (c_setsum @ X4 @ (c_setsum @ X5 @ (c_setsum @ c_Empty @ c_Empty))) @ (c_Inj1 @ (c_setsum @ X5 @ c_Empty)))) => ((X1 @ (^[X8 : $i, X9 : ($i > $i) > $i] : (X7)) @ c_Empty) => (X2 @ (^[X8 : $i] : (c_Empty)) @ (^[X8 : (($i > $i) > $i) > $i, X9 : $i > $i > $i, X10 : $i, X11 : $i] : (c_setsum @ c_Empty @ c_Empty)) @ X5))) => (! [X7,X4 : ((($i > $i) > $i > $i) > $i) > $i,X5,X6] : ((c_In @ (c_Inj1 @ c_Empty) @ X5) => ((X1 @ (^[X8 : $i, X9 : ($i > $i) > $i] : (c_Empty)) @ c_Empty) => (X0 @ (^[X8 : $i, X9 : $i, X10 : ($i > $i) > $i > $i] : (c_Inj1 @ c_Empty)) @ (c_Inj1 @ (c_Inj1 @ (X4 @ (^[X8 : ($i > $i) > $i > $i] : (c_Empty))))) @ (c_Inj1 @ (c_setsum @ (c_setsum @ (c_Inj0 @ c_Empty) @ c_Empty) @ (c_Inj1 @ (c_Inj0 @ c_Empty))))))) => (! [X5,X6 : $i > $i,X4 : $i > $i,X7] : ((X0 @ (^[X8 : $i, X9 : $i, X10 : ($i > $i) > $i > $i] : (c_Empty)) @ (X4 @ c_Empty) @ X7) => c_False) => c_False)))))))))),
% 184.35/23.67 inference(negated_conjecture,[],[f109])).
% 184.35/23.67 thf(f109,conjecture,(
% 184.35/23.67 (c_not @ ! [X0 : ($i > $i > (($i > $i) > $i > $i) > $i) > $i > $i > $o,X2 : ($i > $i) > (((($i > $i) > $i) > $i) > ($i > $i > $i) > $i > $i > $i) > $i > $o,X1 : ($i > (($i > $i) > $i) > $i) > $i > $o,X3 : ($i > ($i > $i > $i) > $i) > $i > $i > $o] : (! [X5,X6,X4 : (($i > $i > $i) > ($i > $i) > $i > $i) > $i,X7] : ((c_In @ (c_Inj0 @ X6) @ (c_setsum @ (c_setsum @ c_Empty @ c_Empty) @ (c_setsum @ X6 @ (c_Inj0 @ (c_setsum @ c_Empty @ c_Empty))))) => ((X2 @ (^[X8 : $i] : (c_Inj0 @ (c_Inj0 @ c_Empty))) @ (^[X8 : (($i > $i) > $i) > $i, X9 : $i > $i > $i, X10 : $i, X11 : $i] : (X10)) @ (c_setsum @ (X4 @ (^[X8 : $i > $i > $i, X9 : $i > $i, X10 : $i] : (c_Inj0 @ (c_setsum @ c_Empty @ c_Empty)))) @ c_Empty)) => (X3 @ (^[X8 : $i, X9 : $i > $i > $i] : (c_Inj0 @ X8)) @ X5 @ (c_setsum @ (c_setsum @ (c_setsum @ c_Empty @ (c_setsum @ c_Empty @ c_Empty)) @ (c_Inj0 @ c_Empty)) @ c_Empty)))) => (! [X7,X6,X5 : $i > $i,X4 : ((($i > $i) > $i > $i) > $i) > $i] : ((X3 @ (^[X8 : $i, X9 : $i > $i > $i] : (c_Empty)) @ X7 @ (c_setsum @ (c_setsum @ (c_setsum @ (c_setsum @ c_Empty @ c_Empty) @ c_Empty) @ (c_setsum @ (c_setsum @ c_Empty @ c_Empty) @ (c_Inj0 @ c_Empty))) @ (c_setsum @ c_Empty @ (c_Inj1 @ (c_setsum @ c_Empty @ c_Empty))))) => (X3 @ (^[X8 : $i, X9 : $i > $i > $i] : (X7)) @ (c_setsum @ (X4 @ (^[X8 : ($i > $i) > $i > $i] : (X7))) @ X6) @ (c_Inj0 @ (c_Inj1 @ (c_setsum @ (c_setsum @ c_Empty @ c_Empty) @ (c_setsum @ c_Empty @ c_Empty)))))) => (! [X7,X4,X6 : ((($i > $i) > $i > $i) > ($i > $i) > $i > $i) > ($i > $i > $i) > $i,X5 : $i > (($i > $i) > $i > $i) > $i] : ((c_In @ (c_Inj0 @ c_Empty) @ (c_setsum @ c_Empty @ (X5 @ (c_Inj0 @ (c_setsum @ c_Empty @ c_Empty)) @ (^[X8 : $i > $i, X9 : $i] : (c_Inj0 @ c_Empty))))) => ((X0 @ (^[X8 : $i, X9 : $i, X10 : ($i > $i) > $i > $i] : (X8)) @ X7 @ (X6 @ (^[X8 : ($i > $i) > $i > $i, X9 : $i > $i, X10 : $i] : (c_Inj1 @ c_Empty)) @ (^[X8 : $i, X9 : $i] : (c_Empty)))) => (X2 @ (^[X8 : $i] : (X8)) @ (^[X8 : (($i > $i) > $i) > $i, X9 : $i > $i > $i, X10 : $i, X11 : $i] : (X10)) @ (c_setsum @ (c_Inj0 @ c_Empty) @ (X6 @ (^[X8 : ($i > $i) > $i > $i, X9 : $i > $i, X10 : $i] : (c_Inj0 @ c_Empty)) @ (^[X8 : $i, X9 : $i] : (X9))))))) => (! [X4 : $i > $i > $i,X6,X7 : $i > $i,X5 : $i > $i] : ((c_In @ (c_Inj0 @ (c_Inj1 @ c_Empty)) @ (c_setsum @ (c_setsum @ (c_Inj0 @ c_Empty) @ (c_setsum @ (c_setsum @ c_Empty @ c_Empty) @ (c_setsum @ c_Empty @ c_Empty))) @ (c_setsum @ c_Empty @ (c_setsum @ (c_Inj0 @ c_Empty) @ (X4 @ c_Empty @ c_Empty))))) => ((X2 @ (^[X8 : $i] : (c_Empty)) @ (^[X8 : (($i > $i) > $i) > $i, X9 : $i > $i > $i, X10 : $i, X11 : $i] : (c_Empty)) @ (c_setsum @ (c_setsum @ c_Empty @ (c_setsum @ (c_setsum @ c_Empty @ c_Empty) @ (c_Inj0 @ c_Empty))) @ (c_Inj1 @ X6))) => (X1 @ (^[X8 : $i, X9 : ($i > $i) > $i] : (c_Inj0 @ c_Empty)) @ (X4 @ c_Empty @ (X5 @ (c_setsum @ (c_Inj1 @ c_Empty) @ c_Empty)))))) => (! [X5 : $i > $i,X6 : $i > $i,X4,X7] : ((X3 @ (^[X8 : $i, X9 : $i > $i > $i] : (c_Empty)) @ c_Empty @ c_Empty) => (X1 @ (^[X8 : $i, X9 : ($i > $i) > $i] : (X9 @ (^[X10 : $i] : (c_setsum @ (c_Inj1 @ (c_Inj0 @ c_Empty)) @ (c_setsum @ c_Empty @ c_Empty))))) @ c_Empty)) => (! [X4,X7,X5,X6] : ((c_In @ (c_Inj0 @ X6) @ (c_setsum @ (c_setsum @ X4 @ (c_setsum @ X5 @ (c_setsum @ c_Empty @ c_Empty))) @ (c_Inj1 @ (c_setsum @ X5 @ c_Empty)))) => ((X1 @ (^[X8 : $i, X9 : ($i > $i) > $i] : (X7)) @ c_Empty) => (X2 @ (^[X8 : $i] : (c_Empty)) @ (^[X8 : (($i > $i) > $i) > $i, X9 : $i > $i > $i, X10 : $i, X11 : $i] : (c_setsum @ c_Empty @ c_Empty)) @ X5))) => (! [X7,X4 : ((($i > $i) > $i > $i) > $i) > $i,X5,X6] : ((c_In @ (c_Inj1 @ c_Empty) @ X5) => ((X1 @ (^[X8 : $i, X9 : ($i > $i) > $i] : (c_Empty)) @ c_Empty) => (X0 @ (^[X8 : $i, X9 : $i, X10 : ($i > $i) > $i > $i] : (c_Inj1 @ c_Empty)) @ (c_Inj1 @ (c_Inj1 @ (X4 @ (^[X8 : ($i > $i) > $i > $i] : (c_Empty))))) @ (c_Inj1 @ (c_setsum @ (c_setsum @ (c_Inj0 @ c_Empty) @ c_Empty) @ (c_Inj1 @ (c_Inj0 @ c_Empty))))))) => (! [X5,X6 : $i > $i,X4 : $i > $i,X7] : ((X0 @ (^[X8 : $i, X9 : $i, X10 : ($i > $i) > $i > $i] : (c_Empty)) @ (X4 @ c_Empty) @ X7) => c_False) => c_False)))))))))),
% 184.35/23.67 file('/export/starexec/sandbox/tmp/tmp.ZDz2q55HQ7/Vampire---4.8_14877',conj)).
% 184.35/23.67 thf(f324,plain,(
% 184.35/23.67 ( ! [X2 : ($i > (($i > $i) > $i) > $i) > $i > $o,X3 : ($i > $i) > (((($i > $i) > $i) > $i) > ($i > $i > $i) > $i > $i > $i) > $i > $o,X1 : ($i > ($i > $i > $i) > $i) > $i > $i > $o,X4 : ($i > $i > (($i > $i) > $i > $i) > $i) > $i > $i > $o] : (($true = ((!! @ ((($i > $i > $i) > ($i > $i) > $i > $i) > $i) @ (^[Y0 : (($i > $i > $i) > ($i > $i) > $i > $i) > $i]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((c_In @ (c_Repl @ Y1 @ c_Inj1) @ (c_binunion @ (c_Repl @ (c_binunion @ (c_Repl @ c_Empty @ (^[Y3 : $i]: (c_Repl @ Y3 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1)) @ (^[Y3 : $i]: (c_Repl @ Y3 @ c_Inj1))) @ (c_Repl @ (c_binunion @ (c_Repl @ Y1 @ (^[Y3 : $i]: (c_Repl @ Y3 @ c_Inj1))) @ (c_Repl @ (c_Repl @ (c_binunion @ (c_Repl @ c_Empty @ (^[Y3 : $i]: (c_Repl @ Y3 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1)) @ c_Inj1) @ c_Inj1)) @ c_Inj1))) => ((X3 @ (^[Y3 : $i]: (c_Repl @ (c_Repl @ c_Empty @ c_Inj1) @ c_Inj1)) @ (^[Y3 : (($i > $i) > $i) > $i]: ((^[Y4 : $i > $i > $i]: ((^[Y5 : $i]: ((^[Y6 : $i]: (Y5)))))))) @ (c_binunion @ (c_Repl @ (Y0 @ (^[Y3 : $i > $i > $i]: ((^[Y4 : $i > $i]: ((^[Y5 : $i]: (c_Repl @ (c_binunion @ (c_Repl @ c_Empty @ (^[Y6 : $i]: (c_Repl @ Y6 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1)) @ c_Inj1))))))) @ (^[Y3 : $i]: (c_Repl @ Y3 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1))) => (X1 @ (^[Y3 : $i]: ((^[Y4 : $i > $i > $i]: (c_Repl @ Y3 @ c_Inj1)))) @ Y2 @ (c_binunion @ (c_Repl @ (c_binunion @ (c_Repl @ (c_binunion @ (c_Repl @ c_Empty @ (^[Y3 : $i]: (c_Repl @ Y3 @ c_Inj1))) @ (c_Repl @ (c_binunion @ (c_Repl @ c_Empty @ (^[Y3 : $i]: (c_Repl @ Y3 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1)) @ c_Inj1)) @ (^[Y3 : $i]: (c_Repl @ Y3 @ c_Inj1))) @ (c_Repl @ (c_Repl @ c_Empty @ c_Inj1) @ c_Inj1)) @ (^[Y3 : $i]: (c_Repl @ Y3 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1))))))))))) => ((!! @ (((($i > $i) > $i > $i) > $i) > $i) @ (^[Y0 : ((($i > $i) > $i > $i) > $i) > $i]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((X1 @ (^[Y3 : $i]: ((^[Y4 : $i > $i > $i]: (c_Empty)))) @ Y2 @ (c_binunion @ (c_Repl @ (c_binunion @ (c_Repl @ (c_binunion @ (c_Repl @ (c_binunion @ (c_Repl @ c_Empty @ (^[Y3 : $i]: (c_Repl @ Y3 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1)) @ (^[Y3 : $i]: (c_Repl @ Y3 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1)) @ (^[Y3 : $i]: (c_Repl @ Y3 @ c_Inj1))) @ (c_Repl @ (c_binunion @ (c_Repl @ (c_binunion @ (c_Repl @ c_Empty @ (^[Y3 : $i]: (c_Repl @ Y3 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1)) @ (^[Y3 : $i]: (c_Repl @ Y3 @ c_Inj1))) @ (c_Repl @ (c_Repl @ c_Empty @ c_Inj1) @ c_Inj1)) @ c_Inj1)) @ (^[Y3 : $i]: (c_Repl @ Y3 @ c_Inj1))) @ (c_Repl @ (c_binunion @ (c_Repl @ c_Empty @ (^[Y3 : $i]: (c_Repl @ Y3 @ c_Inj1))) @ (c_Repl @ (c_Inj1 @ (c_binunion @ (c_Repl @ c_Empty @ (^[Y3 : $i]: (c_Repl @ Y3 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1))) @ c_Inj1)) @ c_Inj1))) => (X1 @ (^[Y3 : $i]: ((^[Y4 : $i > $i > $i]: (Y2)))) @ (c_binunion @ (c_Repl @ (Y0 @ (^[Y3 : ($i > $i) > $i > $i]: (Y2))) @ (^[Y3 : $i]: (c_Repl @ Y3 @ c_Inj1))) @ (c_Repl @ Y1 @ c_Inj1)) @ (c_Repl @ (c_Inj1 @ (c_binunion @ (c_Repl @ (c_binunion @ (c_Repl @ c_Empty @ (^[Y3 : $i]: (c_Repl @ Y3 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1)) @ (^[Y3 : $i]: (c_Repl @ Y3 @ c_Inj1))) @ (c_Repl @ (c_binunion @ (c_Repl @ c_Empty @ (^[Y3 : $i]: (c_Repl @ Y3 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1)) @ c_Inj1))) @ c_Inj1))))))))) => ((!! @ ($i > (($i > $i) > $i > $i) > $i) @ (^[Y0 : $i > (($i > $i) > $i > $i) > $i]: (!! @ (((($i > $i) > $i > $i) > ($i > $i) > $i > $i) > ($i > $i > $i) > $i) @ (^[Y1 : ((($i > $i) > $i > $i) > ($i > $i) > $i > $i) > ($i > $i > $i) > $i]: (!! @ $i @ (^[Y2 : $i]: ((c_In @ (c_Repl @ c_Empty @ c_Inj1) @ (c_binunion @ (c_Repl @ c_Empty @ (^[Y3 : $i]: (c_Repl @ Y3 @ c_Inj1))) @ (c_Repl @ (Y0 @ (c_Repl @ (c_binunion @ (c_Repl @ c_Empty @ (^[Y3 : $i]: (c_Repl @ Y3 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1)) @ c_Inj1) @ (^[Y3 : $i > $i]: ((^[Y4 : $i]: (c_Repl @ c_Empty @ c_Inj1))))) @ c_Inj1))) => ((X4 @ (^[Y3 : $i]: ((^[Y4 : $i]: ((^[Y5 : ($i > $i) > $i > $i]: (Y3)))))) @ Y2 @ (Y1 @ (^[Y3 : ($i > $i) > $i > $i]: ((^[Y4 : $i > $i]: ((^[Y5 : $i]: (c_Inj1 @ c_Empty)))))) @ (^[Y3 : $i]: ((^[Y4 : $i]: (c_Empty)))))) => (X3 @ (^[Y3 : $i]: (Y3)) @ (^[Y3 : (($i > $i) > $i) > $i]: ((^[Y4 : $i > $i > $i]: ((^[Y5 : $i]: ((^[Y6 : $i]: (Y5)))))))) @ (c_binunion @ (c_Repl @ (c_Repl @ c_Empty @ c_Inj1) @ (^[Y3 : $i]: (c_Repl @ Y3 @ c_Inj1))) @ (c_Repl @ (Y1 @ (^[Y3 : ($i > $i) > $i > $i]: ((^[Y4 : $i > $i]: ((^[Y5 : $i]: (c_Repl @ c_Empty @ c_Inj1)))))) @ (^[Y3 : $i]: ((^[Y4 : $i]: (Y4))))) @ c_Inj1))))))))))) => ((!! @ ($i > $i) @ (^[Y0 : $i > $i]: (!! @ $i @ (^[Y1 : $i]: (!! @ ($i > $i > $i) @ (^[Y2 : $i > $i > $i]: ((c_In @ (c_Repl @ (c_Inj1 @ c_Empty) @ c_Inj1) @ (c_binunion @ (c_Repl @ (c_binunion @ (c_Repl @ (c_Repl @ c_Empty @ c_Inj1) @ (^[Y3 : $i]: (c_Repl @ Y3 @ c_Inj1))) @ (c_Repl @ (c_binunion @ (c_Repl @ (c_binunion @ (c_Repl @ c_Empty @ (^[Y3 : $i]: (c_Repl @ Y3 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1)) @ (^[Y3 : $i]: (c_Repl @ Y3 @ c_Inj1))) @ (c_Repl @ (c_binunion @ (c_Repl @ c_Empty @ (^[Y3 : $i]: (c_Repl @ Y3 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1)) @ c_Inj1)) @ c_Inj1)) @ (^[Y3 : $i]: (c_Repl @ Y3 @ c_Inj1))) @ (c_Repl @ (c_binunion @ (c_Repl @ c_Empty @ (^[Y3 : $i]: (c_Repl @ Y3 @ c_Inj1))) @ (c_Repl @ (c_binunion @ (c_Repl @ (c_Repl @ c_Empty @ c_Inj1) @ (^[Y3 : $i]: (c_Repl @ Y3 @ c_Inj1))) @ (c_Repl @ (Y2 @ c_Empty @ c_Empty) @ c_Inj1)) @ c_Inj1)) @ c_Inj1))) => ((X3 @ (^[Y3 : $i]: (c_Empty)) @ (^[Y3 : (($i > $i) > $i) > $i]: ((^[Y4 : $i > $i > $i]: ((^[Y5 : $i]: ((^[Y6 : $i]: (c_Empty)))))))) @ (c_binunion @ (c_Repl @ (c_binunion @ (c_Repl @ c_Empty @ (^[Y3 : $i]: (c_Repl @ Y3 @ c_Inj1))) @ (c_Repl @ (c_binunion @ (c_Repl @ (c_binunion @ (c_Repl @ c_Empty @ (^[Y3 : $i]: (c_Repl @ Y3 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1)) @ (^[Y3 : $i]: (c_Repl @ Y3 @ c_Inj1))) @ (c_Repl @ (c_Repl @ c_Empty @ c_Inj1) @ c_Inj1)) @ c_Inj1)) @ (^[Y3 : $i]: (c_Repl @ Y3 @ c_Inj1))) @ (c_Repl @ (c_Inj1 @ Y1) @ c_Inj1))) => (X2 @ (^[Y3 : $i]: ((^[Y4 : ($i > $i) > $i]: (c_Repl @ c_Empty @ c_Inj1)))) @ (Y2 @ c_Empty @ (Y0 @ (c_binunion @ (c_Repl @ (c_Inj1 @ c_Empty) @ (^[Y3 : $i]: (c_Repl @ Y3 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1))))))))))))) => (((X1 @ (^[Y0 : $i]: ((^[Y1 : $i > $i > $i]: (c_Empty)))) @ c_Empty @ c_Empty) => (X2 @ (^[Y0 : $i]: ((^[Y1 : ($i > $i) > $i]: (Y1 @ (^[Y2 : $i]: (c_binunion @ (c_Repl @ (c_Inj1 @ (c_Repl @ c_Empty @ c_Inj1)) @ (^[Y3 : $i]: (c_Repl @ Y3 @ c_Inj1))) @ (c_Repl @ (c_binunion @ (c_Repl @ c_Empty @ (^[Y3 : $i]: (c_Repl @ Y3 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1)) @ c_Inj1))))))) @ c_Empty)) => ((!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: ((c_In @ (c_Repl @ Y0 @ c_Inj1) @ (c_binunion @ (c_Repl @ (c_binunion @ (c_Repl @ Y3 @ (^[Y4 : $i]: (c_Repl @ Y4 @ c_Inj1))) @ (c_Repl @ (c_binunion @ (c_Repl @ Y1 @ (^[Y4 : $i]: (c_Repl @ Y4 @ c_Inj1))) @ (c_Repl @ (c_binunion @ (c_Repl @ c_Empty @ (^[Y4 : $i]: (c_Repl @ Y4 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1)) @ c_Inj1)) @ c_Inj1)) @ (^[Y4 : $i]: (c_Repl @ Y4 @ c_Inj1))) @ (c_Repl @ (c_Inj1 @ (c_binunion @ (c_Repl @ Y1 @ (^[Y4 : $i]: (c_Repl @ Y4 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1))) @ c_Inj1))) => ((X2 @ (^[Y4 : $i]: ((^[Y5 : ($i > $i) > $i]: (Y2)))) @ c_Empty) => (X3 @ (^[Y4 : $i]: (c_Empty)) @ (^[Y4 : (($i > $i) > $i) > $i]: ((^[Y5 : $i > $i > $i]: ((^[Y6 : $i]: ((^[Y7 : $i]: (c_binunion @ (c_Repl @ c_Empty @ (^[Y8 : $i]: (c_Repl @ Y8 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1))))))))) @ Y1))))))))))) => ((!! @ $i @ (^[Y0 : $i]: (!! @ (((($i > $i) > $i > $i) > $i) > $i) @ (^[Y1 : ((($i > $i) > $i > $i) > $i) > $i]: ((c_In @ (c_Inj1 @ c_Empty) @ Y0) => ((X2 @ (^[Y2 : $i]: ((^[Y3 : ($i > $i) > $i]: (c_Empty)))) @ c_Empty) => (X4 @ (^[Y2 : $i]: ((^[Y3 : $i]: ((^[Y4 : ($i > $i) > $i > $i]: (c_Inj1 @ c_Empty)))))) @ (c_Inj1 @ (c_Inj1 @ (Y1 @ (^[Y2 : ($i > $i) > $i > $i]: (c_Empty))))) @ (c_Inj1 @ (c_binunion @ (c_Repl @ (c_binunion @ (c_Repl @ (c_Repl @ c_Empty @ c_Inj1) @ (^[Y2 : $i]: (c_Repl @ Y2 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1)) @ (^[Y2 : $i]: (c_Repl @ Y2 @ c_Inj1))) @ (c_Repl @ (c_Inj1 @ (c_Repl @ c_Empty @ c_Inj1)) @ c_Inj1)))))))))) => ((!! @ $i @ (^[Y0 : $i]: (!! @ ($i > $i) @ (^[Y1 : $i > $i]: ((X4 @ (^[Y2 : $i]: ((^[Y3 : $i]: ((^[Y4 : ($i > $i) > $i > $i]: (c_Empty)))))) @ (Y1 @ c_Empty) @ Y0) => (!! @ $o @ (^[Y2 : $o]: (Y2)))))))) => (!! @ $o @ (^[Y0 : $o]: (Y0))))))))))))) )),
% 184.35/23.67 inference(beta_eta_normalization,[],[f323])).
% 184.35/23.67 thf(f323,plain,(
% 184.35/23.67 ( ! [X2 : ($i > (($i > $i) > $i) > $i) > $i > $o,X3 : ($i > $i) > (((($i > $i) > $i) > $i) > ($i > $i > $i) > $i > $i > $i) > $i > $o,X1 : ($i > ($i > $i > $i) > $i) > $i > $i > $o,X4 : ($i > $i > (($i > $i) > $i > $i) > $i) > $i > $i > $o] : (($true = ((^[Y0 : ($i > $i > (($i > $i) > $i > $i) > $i) > $i > $i > $o]: ((!! @ ((($i > $i > $i) > ($i > $i) > $i > $i) > $i) @ (^[Y1 : (($i > $i > $i) > ($i > $i) > $i > $i) > $i]: (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: ((c_In @ (c_Repl @ Y2 @ c_Inj1) @ (c_binunion @ (c_Repl @ (c_binunion @ (c_Repl @ c_Empty @ (^[Y4 : $i]: (c_Repl @ Y4 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1)) @ (^[Y4 : $i]: (c_Repl @ Y4 @ c_Inj1))) @ (c_Repl @ (c_binunion @ (c_Repl @ Y2 @ (^[Y4 : $i]: (c_Repl @ Y4 @ c_Inj1))) @ (c_Repl @ (c_Repl @ (c_binunion @ (c_Repl @ c_Empty @ (^[Y4 : $i]: (c_Repl @ Y4 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1)) @ c_Inj1) @ c_Inj1)) @ c_Inj1))) => ((X3 @ (^[Y4 : $i]: (c_Repl @ (c_Repl @ c_Empty @ c_Inj1) @ c_Inj1)) @ (^[Y4 : (($i > $i) > $i) > $i]: ((^[Y5 : $i > $i > $i]: ((^[Y6 : $i]: ((^[Y7 : $i]: (Y6)))))))) @ (c_binunion @ (c_Repl @ (Y1 @ (^[Y4 : $i > $i > $i]: ((^[Y5 : $i > $i]: ((^[Y6 : $i]: (c_Repl @ (c_binunion @ (c_Repl @ c_Empty @ (^[Y7 : $i]: (c_Repl @ Y7 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1)) @ c_Inj1))))))) @ (^[Y4 : $i]: (c_Repl @ Y4 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1))) => (X1 @ (^[Y4 : $i]: ((^[Y5 : $i > $i > $i]: (c_Repl @ Y4 @ c_Inj1)))) @ Y3 @ (c_binunion @ (c_Repl @ (c_binunion @ (c_Repl @ (c_binunion @ (c_Repl @ c_Empty @ (^[Y4 : $i]: (c_Repl @ Y4 @ c_Inj1))) @ (c_Repl @ (c_binunion @ (c_Repl @ c_Empty @ (^[Y4 : $i]: (c_Repl @ Y4 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1)) @ c_Inj1)) @ (^[Y4 : $i]: (c_Repl @ Y4 @ c_Inj1))) @ (c_Repl @ (c_Repl @ c_Empty @ c_Inj1) @ c_Inj1)) @ (^[Y4 : $i]: (c_Repl @ Y4 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1))))))))))) => ((!! @ (((($i > $i) > $i > $i) > $i) > $i) @ (^[Y1 : ((($i > $i) > $i > $i) > $i) > $i]: (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: ((X1 @ (^[Y4 : $i]: ((^[Y5 : $i > $i > $i]: (c_Empty)))) @ Y3 @ (c_binunion @ (c_Repl @ (c_binunion @ (c_Repl @ (c_binunion @ (c_Repl @ (c_binunion @ (c_Repl @ c_Empty @ (^[Y4 : $i]: (c_Repl @ Y4 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1)) @ (^[Y4 : $i]: (c_Repl @ Y4 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1)) @ (^[Y4 : $i]: (c_Repl @ Y4 @ c_Inj1))) @ (c_Repl @ (c_binunion @ (c_Repl @ (c_binunion @ (c_Repl @ c_Empty @ (^[Y4 : $i]: (c_Repl @ Y4 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1)) @ (^[Y4 : $i]: (c_Repl @ Y4 @ c_Inj1))) @ (c_Repl @ (c_Repl @ c_Empty @ c_Inj1) @ c_Inj1)) @ c_Inj1)) @ (^[Y4 : $i]: (c_Repl @ Y4 @ c_Inj1))) @ (c_Repl @ (c_binunion @ (c_Repl @ c_Empty @ (^[Y4 : $i]: (c_Repl @ Y4 @ c_Inj1))) @ (c_Repl @ (c_Inj1 @ (c_binunion @ (c_Repl @ c_Empty @ (^[Y4 : $i]: (c_Repl @ Y4 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1))) @ c_Inj1)) @ c_Inj1))) => (X1 @ (^[Y4 : $i]: ((^[Y5 : $i > $i > $i]: (Y3)))) @ (c_binunion @ (c_Repl @ (Y1 @ (^[Y4 : ($i > $i) > $i > $i]: (Y3))) @ (^[Y4 : $i]: (c_Repl @ Y4 @ c_Inj1))) @ (c_Repl @ Y2 @ c_Inj1)) @ (c_Repl @ (c_Inj1 @ (c_binunion @ (c_Repl @ (c_binunion @ (c_Repl @ c_Empty @ (^[Y4 : $i]: (c_Repl @ Y4 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1)) @ (^[Y4 : $i]: (c_Repl @ Y4 @ c_Inj1))) @ (c_Repl @ (c_binunion @ (c_Repl @ c_Empty @ (^[Y4 : $i]: (c_Repl @ Y4 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1)) @ c_Inj1))) @ c_Inj1))))))))) => ((!! @ ($i > (($i > $i) > $i > $i) > $i) @ (^[Y1 : $i > (($i > $i) > $i > $i) > $i]: (!! @ (((($i > $i) > $i > $i) > ($i > $i) > $i > $i) > ($i > $i > $i) > $i) @ (^[Y2 : ((($i > $i) > $i > $i) > ($i > $i) > $i > $i) > ($i > $i > $i) > $i]: (!! @ $i @ (^[Y3 : $i]: ((c_In @ (c_Repl @ c_Empty @ c_Inj1) @ (c_binunion @ (c_Repl @ c_Empty @ (^[Y4 : $i]: (c_Repl @ Y4 @ c_Inj1))) @ (c_Repl @ (Y1 @ (c_Repl @ (c_binunion @ (c_Repl @ c_Empty @ (^[Y4 : $i]: (c_Repl @ Y4 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1)) @ c_Inj1) @ (^[Y4 : $i > $i]: ((^[Y5 : $i]: (c_Repl @ c_Empty @ c_Inj1))))) @ c_Inj1))) => ((Y0 @ (^[Y4 : $i]: ((^[Y5 : $i]: ((^[Y6 : ($i > $i) > $i > $i]: (Y4)))))) @ Y3 @ (Y2 @ (^[Y4 : ($i > $i) > $i > $i]: ((^[Y5 : $i > $i]: ((^[Y6 : $i]: (c_Inj1 @ c_Empty)))))) @ (^[Y4 : $i]: ((^[Y5 : $i]: (c_Empty)))))) => (X3 @ (^[Y4 : $i]: (Y4)) @ (^[Y4 : (($i > $i) > $i) > $i]: ((^[Y5 : $i > $i > $i]: ((^[Y6 : $i]: ((^[Y7 : $i]: (Y6)))))))) @ (c_binunion @ (c_Repl @ (c_Repl @ c_Empty @ c_Inj1) @ (^[Y4 : $i]: (c_Repl @ Y4 @ c_Inj1))) @ (c_Repl @ (Y2 @ (^[Y4 : ($i > $i) > $i > $i]: ((^[Y5 : $i > $i]: ((^[Y6 : $i]: (c_Repl @ c_Empty @ c_Inj1)))))) @ (^[Y4 : $i]: ((^[Y5 : $i]: (Y5))))) @ c_Inj1))))))))))) => ((!! 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@ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: (!! @ $i @ (^[Y4 : $i]: ((c_In @ (c_Repl @ Y1 @ c_Inj1) @ (c_binunion @ (c_Repl @ (c_binunion @ (c_Repl @ Y4 @ (^[Y5 : $i]: (c_Repl @ Y5 @ c_Inj1))) @ (c_Repl @ (c_binunion @ (c_Repl @ Y2 @ (^[Y5 : $i]: (c_Repl @ Y5 @ c_Inj1))) @ (c_Repl @ (c_binunion @ (c_Repl @ c_Empty @ (^[Y5 : $i]: (c_Repl @ Y5 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1)) @ c_Inj1)) @ c_Inj1)) @ (^[Y5 : $i]: (c_Repl @ Y5 @ c_Inj1))) @ (c_Repl @ (c_Inj1 @ (c_binunion @ (c_Repl @ Y2 @ (^[Y5 : $i]: (c_Repl @ Y5 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1))) @ c_Inj1))) => ((X2 @ (^[Y5 : $i]: ((^[Y6 : ($i > $i) > $i]: (Y3)))) @ c_Empty) => (X3 @ (^[Y5 : $i]: (c_Empty)) @ (^[Y5 : (($i > $i) > $i) > $i]: ((^[Y6 : $i > $i > $i]: ((^[Y7 : $i]: ((^[Y8 : $i]: (c_binunion @ (c_Repl @ c_Empty @ (^[Y9 : $i]: (c_Repl @ Y9 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1))))))))) @ Y2))))))))))) => ((!! @ $i @ (^[Y1 : $i]: (!! @ (((($i > $i) > $i > $i) > $i) > $i) @ (^[Y2 : ((($i > $i) > $i > $i) > $i) > $i]: ((c_In @ (c_Inj1 @ c_Empty) @ Y1) => ((X2 @ (^[Y3 : $i]: ((^[Y4 : ($i > $i) > $i]: (c_Empty)))) @ c_Empty) => (Y0 @ (^[Y3 : $i]: ((^[Y4 : $i]: ((^[Y5 : ($i > $i) > $i > $i]: (c_Inj1 @ c_Empty)))))) @ (c_Inj1 @ (c_Inj1 @ (Y2 @ (^[Y3 : ($i > $i) > $i > $i]: (c_Empty))))) @ (c_Inj1 @ (c_binunion @ (c_Repl @ (c_binunion @ (c_Repl @ (c_Repl @ c_Empty @ c_Inj1) @ (^[Y3 : $i]: (c_Repl @ Y3 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1)) @ (^[Y3 : $i]: (c_Repl @ Y3 @ c_Inj1))) @ (c_Repl @ (c_Inj1 @ (c_Repl @ c_Empty @ c_Inj1)) @ c_Inj1)))))))))) => ((!! @ $i @ (^[Y1 : $i]: (!! @ ($i > $i) @ (^[Y2 : $i > $i]: ((Y0 @ (^[Y3 : $i]: ((^[Y4 : $i]: ((^[Y5 : ($i > $i) > $i > $i]: (c_Empty)))))) @ (Y2 @ c_Empty) @ Y1) => (!! @ $o @ (^[Y3 : $o]: (Y3)))))))) => (!! @ $o @ (^[Y1 : $o]: (Y1)))))))))))) @ X4))) )),
% 184.35/23.67 inference(pi_clausification,[],[f322])).
% 184.35/23.67 thf(f322,plain,(
% 184.35/23.67 ( ! [X2 : ($i > (($i > $i) > $i) > $i) > $i > $o,X3 : ($i > $i) > (((($i > $i) > $i) > $i) > ($i > $i > $i) > $i > $i > $i) > $i > $o,X1 : ($i > ($i > $i > $i) > $i) > $i > $i > $o] : (($true = (!! @ (($i > $i > (($i > $i) > $i > $i) > $i) > $i > $i > $o) @ (^[Y0 : ($i > $i > (($i > $i) > $i > $i) > $i) > $i > $i > $o]: ((!! @ ((($i > $i > $i) > ($i > $i) > $i > $i) > $i) @ (^[Y1 : (($i > $i > $i) > ($i > $i) > $i > $i) > $i]: (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: ((c_In @ (c_Repl @ Y2 @ c_Inj1) @ (c_binunion @ (c_Repl @ (c_binunion @ (c_Repl @ c_Empty @ (^[Y4 : $i]: (c_Repl @ Y4 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1)) @ (^[Y4 : $i]: (c_Repl @ Y4 @ c_Inj1))) @ (c_Repl @ (c_binunion @ (c_Repl @ Y2 @ (^[Y4 : $i]: (c_Repl @ Y4 @ c_Inj1))) @ (c_Repl @ (c_Repl @ (c_binunion @ (c_Repl @ c_Empty @ (^[Y4 : $i]: (c_Repl @ Y4 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1)) @ c_Inj1) @ c_Inj1)) @ c_Inj1))) => ((X3 @ (^[Y4 : $i]: (c_Repl @ (c_Repl @ c_Empty @ c_Inj1) @ c_Inj1)) @ (^[Y4 : (($i > $i) > $i) > $i]: ((^[Y5 : $i > $i > $i]: ((^[Y6 : $i]: ((^[Y7 : $i]: (Y6)))))))) @ (c_binunion @ (c_Repl @ (Y1 @ (^[Y4 : $i > $i > $i]: ((^[Y5 : $i > $i]: ((^[Y6 : $i]: (c_Repl @ (c_binunion @ (c_Repl @ c_Empty @ (^[Y7 : $i]: (c_Repl @ Y7 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1)) @ c_Inj1))))))) @ (^[Y4 : $i]: (c_Repl @ Y4 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1))) => (X1 @ (^[Y4 : $i]: ((^[Y5 : $i > $i > $i]: (c_Repl @ Y4 @ c_Inj1)))) @ Y3 @ (c_binunion @ (c_Repl @ (c_binunion @ (c_Repl @ (c_binunion @ (c_Repl @ c_Empty @ (^[Y4 : $i]: (c_Repl @ Y4 @ c_Inj1))) @ (c_Repl @ (c_binunion @ (c_Repl @ c_Empty @ (^[Y4 : $i]: (c_Repl @ Y4 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1)) @ c_Inj1)) @ (^[Y4 : $i]: (c_Repl @ Y4 @ c_Inj1))) @ (c_Repl @ (c_Repl @ c_Empty @ c_Inj1) @ c_Inj1)) @ (^[Y4 : $i]: (c_Repl @ Y4 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1))))))))))) => ((!! @ (((($i > $i) > $i > $i) > $i) > $i) @ (^[Y1 : ((($i > $i) > $i > $i) > $i) > $i]: (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: ((X1 @ (^[Y4 : $i]: ((^[Y5 : $i > $i > $i]: (c_Empty)))) @ Y3 @ (c_binunion @ (c_Repl @ (c_binunion @ (c_Repl @ (c_binunion @ (c_Repl @ (c_binunion @ (c_Repl @ c_Empty @ (^[Y4 : $i]: (c_Repl @ Y4 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1)) @ (^[Y4 : $i]: (c_Repl @ Y4 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1)) @ (^[Y4 : $i]: (c_Repl @ Y4 @ c_Inj1))) @ (c_Repl @ (c_binunion @ (c_Repl @ (c_binunion @ (c_Repl @ c_Empty @ (^[Y4 : $i]: (c_Repl @ Y4 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1)) @ (^[Y4 : $i]: (c_Repl @ Y4 @ c_Inj1))) @ (c_Repl @ (c_Repl @ c_Empty @ c_Inj1) @ c_Inj1)) @ c_Inj1)) @ (^[Y4 : $i]: (c_Repl @ Y4 @ c_Inj1))) @ (c_Repl @ (c_binunion @ (c_Repl @ c_Empty @ (^[Y4 : $i]: (c_Repl @ Y4 @ c_Inj1))) @ (c_Repl @ (c_Inj1 @ (c_binunion @ (c_Repl @ c_Empty @ (^[Y4 : $i]: (c_Repl @ Y4 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1))) @ c_Inj1)) @ c_Inj1))) => (X1 @ (^[Y4 : $i]: ((^[Y5 : $i > $i > $i]: (Y3)))) @ (c_binunion @ (c_Repl @ (Y1 @ (^[Y4 : ($i > $i) > $i > $i]: (Y3))) @ (^[Y4 : $i]: (c_Repl @ Y4 @ c_Inj1))) @ (c_Repl @ Y2 @ c_Inj1)) @ (c_Repl @ (c_Inj1 @ (c_binunion @ (c_Repl @ (c_binunion @ (c_Repl @ c_Empty @ (^[Y4 : $i]: (c_Repl @ Y4 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1)) @ (^[Y4 : $i]: (c_Repl @ Y4 @ c_Inj1))) @ (c_Repl @ (c_binunion @ (c_Repl @ c_Empty @ (^[Y4 : $i]: (c_Repl @ Y4 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1)) @ c_Inj1))) @ c_Inj1))))))))) => ((!! @ ($i > (($i > $i) > $i > $i) > $i) @ (^[Y1 : $i > (($i > $i) > $i > $i) > $i]: (!! @ (((($i > $i) > $i > $i) > ($i > $i) > $i > $i) > ($i > $i > $i) > $i) @ (^[Y2 : ((($i > $i) > $i > $i) > ($i > $i) > $i > $i) > ($i > $i > $i) > $i]: (!! @ $i @ (^[Y3 : $i]: ((c_In @ (c_Repl @ c_Empty @ c_Inj1) @ (c_binunion @ (c_Repl @ c_Empty @ (^[Y4 : $i]: (c_Repl @ Y4 @ c_Inj1))) @ (c_Repl @ (Y1 @ (c_Repl @ (c_binunion @ (c_Repl @ c_Empty @ (^[Y4 : $i]: (c_Repl @ Y4 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1)) @ c_Inj1) @ (^[Y4 : $i > $i]: ((^[Y5 : $i]: (c_Repl @ c_Empty @ c_Inj1))))) @ c_Inj1))) => ((Y0 @ (^[Y4 : $i]: ((^[Y5 : $i]: ((^[Y6 : ($i > $i) > $i > $i]: (Y4)))))) @ Y3 @ (Y2 @ (^[Y4 : ($i > $i) > $i > $i]: ((^[Y5 : $i > $i]: ((^[Y6 : $i]: (c_Inj1 @ c_Empty)))))) @ (^[Y4 : $i]: ((^[Y5 : $i]: (c_Empty)))))) => (X3 @ (^[Y4 : $i]: (Y4)) @ (^[Y4 : (($i > $i) > $i) > $i]: ((^[Y5 : $i > $i > $i]: ((^[Y6 : $i]: ((^[Y7 : $i]: (Y6)))))))) @ (c_binunion @ (c_Repl @ (c_Repl @ c_Empty @ c_Inj1) @ (^[Y4 : $i]: (c_Repl @ Y4 @ c_Inj1))) @ (c_Repl @ (Y2 @ (^[Y4 : ($i > $i) > $i > $i]: ((^[Y5 : $i > $i]: ((^[Y6 : $i]: (c_Repl @ c_Empty @ c_Inj1)))))) @ (^[Y4 : $i]: ((^[Y5 : $i]: (Y5))))) @ c_Inj1))))))))))) => ((!! @ ($i > $i) @ (^[Y1 : $i > $i]: (!! @ $i @ (^[Y2 : $i]: (!! @ ($i > $i > $i) @ (^[Y3 : $i > $i > $i]: ((c_In @ (c_Repl @ (c_Inj1 @ c_Empty) @ c_Inj1) @ (c_binunion @ (c_Repl @ (c_binunion @ (c_Repl @ (c_Repl @ c_Empty @ c_Inj1) @ (^[Y4 : $i]: (c_Repl @ Y4 @ c_Inj1))) @ (c_Repl @ (c_binunion @ (c_Repl @ (c_binunion @ (c_Repl @ c_Empty @ (^[Y4 : $i]: (c_Repl @ Y4 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1)) @ (^[Y4 : $i]: (c_Repl @ Y4 @ c_Inj1))) @ (c_Repl @ (c_binunion @ (c_Repl @ c_Empty @ (^[Y4 : $i]: (c_Repl @ Y4 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1)) @ c_Inj1)) @ c_Inj1)) @ (^[Y4 : $i]: (c_Repl @ Y4 @ c_Inj1))) @ (c_Repl @ (c_binunion @ (c_Repl @ c_Empty @ (^[Y4 : $i]: (c_Repl @ Y4 @ c_Inj1))) @ (c_Repl @ (c_binunion @ (c_Repl @ (c_Repl @ c_Empty @ c_Inj1) @ (^[Y4 : $i]: (c_Repl @ Y4 @ c_Inj1))) @ (c_Repl @ (Y3 @ c_Empty @ c_Empty) @ c_Inj1)) @ c_Inj1)) @ c_Inj1))) => ((X3 @ (^[Y4 : $i]: (c_Empty)) @ (^[Y4 : (($i > $i) > $i) > $i]: ((^[Y5 : $i > $i > $i]: ((^[Y6 : $i]: ((^[Y7 : $i]: (c_Empty)))))))) @ (c_binunion @ (c_Repl @ (c_binunion @ (c_Repl @ c_Empty @ (^[Y4 : $i]: (c_Repl @ Y4 @ c_Inj1))) @ (c_Repl @ (c_binunion @ (c_Repl @ (c_binunion @ (c_Repl @ c_Empty @ (^[Y4 : $i]: (c_Repl @ Y4 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1)) @ (^[Y4 : $i]: (c_Repl @ Y4 @ c_Inj1))) @ (c_Repl @ (c_Repl @ c_Empty @ c_Inj1) @ c_Inj1)) @ c_Inj1)) @ (^[Y4 : $i]: (c_Repl @ Y4 @ c_Inj1))) @ (c_Repl @ (c_Inj1 @ Y2) @ c_Inj1))) => (X2 @ (^[Y4 : $i]: ((^[Y5 : ($i > $i) > $i]: (c_Repl @ c_Empty @ c_Inj1)))) @ (Y3 @ c_Empty @ (Y1 @ (c_binunion @ (c_Repl @ (c_Inj1 @ c_Empty) @ (^[Y4 : $i]: (c_Repl @ Y4 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1))))))))))))) => (((X1 @ (^[Y1 : $i]: ((^[Y2 : $i > $i > $i]: (c_Empty)))) @ c_Empty @ c_Empty) => (X2 @ (^[Y1 : $i]: ((^[Y2 : ($i > $i) > $i]: (Y2 @ (^[Y3 : $i]: (c_binunion @ (c_Repl @ (c_Inj1 @ (c_Repl @ c_Empty @ c_Inj1)) @ (^[Y4 : $i]: (c_Repl @ Y4 @ c_Inj1))) @ (c_Repl @ (c_binunion @ (c_Repl @ c_Empty @ (^[Y4 : $i]: (c_Repl @ Y4 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1)) @ c_Inj1))))))) @ c_Empty)) => ((!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: (!! @ $i @ (^[Y4 : $i]: ((c_In @ (c_Repl @ Y1 @ c_Inj1) @ (c_binunion @ (c_Repl @ (c_binunion @ (c_Repl @ Y4 @ (^[Y5 : $i]: (c_Repl @ Y5 @ c_Inj1))) @ (c_Repl @ (c_binunion @ (c_Repl @ Y2 @ (^[Y5 : $i]: (c_Repl @ Y5 @ c_Inj1))) @ (c_Repl @ (c_binunion @ (c_Repl @ c_Empty @ (^[Y5 : $i]: (c_Repl @ Y5 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1)) @ c_Inj1)) @ c_Inj1)) @ (^[Y5 : $i]: (c_Repl @ Y5 @ c_Inj1))) @ (c_Repl @ (c_Inj1 @ (c_binunion @ (c_Repl @ Y2 @ (^[Y5 : $i]: (c_Repl @ Y5 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1))) @ c_Inj1))) => ((X2 @ (^[Y5 : $i]: ((^[Y6 : ($i > $i) > $i]: (Y3)))) @ c_Empty) => (X3 @ (^[Y5 : $i]: (c_Empty)) @ (^[Y5 : (($i > $i) > $i) > $i]: ((^[Y6 : $i > $i > $i]: ((^[Y7 : $i]: ((^[Y8 : $i]: (c_binunion @ (c_Repl @ c_Empty @ (^[Y9 : $i]: (c_Repl @ Y9 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1))))))))) @ Y2))))))))))) => ((!! @ $i @ (^[Y1 : $i]: (!! @ (((($i > $i) > $i > $i) > $i) > $i) @ (^[Y2 : ((($i > $i) > $i > $i) > $i) > $i]: ((c_In @ (c_Inj1 @ c_Empty) @ Y1) => ((X2 @ (^[Y3 : $i]: ((^[Y4 : ($i > $i) > $i]: (c_Empty)))) @ c_Empty) => (Y0 @ (^[Y3 : $i]: ((^[Y4 : $i]: ((^[Y5 : ($i > $i) > $i > $i]: (c_Inj1 @ c_Empty)))))) @ (c_Inj1 @ (c_Inj1 @ (Y2 @ (^[Y3 : ($i > $i) > $i > $i]: (c_Empty))))) @ (c_Inj1 @ (c_binunion @ (c_Repl @ (c_binunion @ (c_Repl @ (c_Repl @ c_Empty @ c_Inj1) @ (^[Y3 : $i]: (c_Repl @ Y3 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1)) @ (^[Y3 : $i]: (c_Repl @ Y3 @ c_Inj1))) @ (c_Repl @ (c_Inj1 @ (c_Repl @ c_Empty @ c_Inj1)) @ c_Inj1)))))))))) => ((!! @ $i @ (^[Y1 : $i]: (!! @ ($i > $i) @ (^[Y2 : $i > $i]: ((Y0 @ (^[Y3 : $i]: ((^[Y4 : $i]: ((^[Y5 : ($i > $i) > $i > $i]: (c_Empty)))))) @ (Y2 @ c_Empty) @ Y1) => (!! @ $o @ (^[Y3 : $o]: (Y3)))))))) => (!! @ $o @ (^[Y1 : $o]: (Y1))))))))))))))) )),
% 184.35/23.67 inference(beta_eta_normalization,[],[f321])).
% 184.35/23.67 thf(f321,plain,(
% 184.35/23.67 ( ! 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@ $i @ (^[Y2 : $i]: (!! @ ($i > $i) @ (^[Y3 : $i > $i]: ((Y1 @ (^[Y4 : $i]: ((^[Y5 : $i]: ((^[Y6 : ($i > $i) > $i > $i]: (c_Empty)))))) @ (Y3 @ c_Empty) @ Y2) => (!! @ $o @ (^[Y4 : $o]: (Y4)))))))) => (!! @ $o @ (^[Y2 : $o]: (Y2)))))))))))))) @ X3))) )),
% 184.35/23.67 inference(pi_clausification,[],[f320])).
% 184.35/23.67 thf(f320,plain,(
% 184.35/23.67 ( ! [X2 : ($i > (($i > $i) > $i) > $i) > $i > $o,X1 : ($i > ($i > $i > $i) > $i) > $i > $i > $o] : (($true = (!! @ (($i > $i) > (((($i > $i) > $i) > $i) > ($i > $i > $i) > $i > $i > $i) > $i > $o) @ (^[Y0 : ($i > $i) > (((($i > $i) > $i) > $i) > ($i > $i > $i) > $i > $i > $i) > $i > $o]: (!! @ (($i > $i > (($i > $i) > $i > $i) > $i) > $i > $i > $o) @ (^[Y1 : ($i > $i > (($i > $i) > $i > $i) > $i) > $i > $i > $o]: ((!! @ ((($i > $i > $i) > ($i > $i) > $i > $i) > $i) @ (^[Y2 : (($i > $i > $i) > ($i > $i) > $i > $i) > $i]: (!! @ $i @ (^[Y3 : $i]: (!! @ $i @ (^[Y4 : $i]: ((c_In @ (c_Repl @ Y3 @ c_Inj1) @ (c_binunion @ (c_Repl @ (c_binunion @ (c_Repl @ c_Empty @ (^[Y5 : $i]: (c_Repl @ Y5 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1)) @ (^[Y5 : $i]: (c_Repl @ Y5 @ c_Inj1))) @ (c_Repl @ (c_binunion @ (c_Repl @ Y3 @ (^[Y5 : $i]: (c_Repl @ Y5 @ c_Inj1))) @ (c_Repl @ (c_Repl @ (c_binunion @ (c_Repl @ c_Empty @ (^[Y5 : $i]: (c_Repl @ Y5 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1)) @ c_Inj1) @ c_Inj1)) @ c_Inj1))) => ((Y0 @ (^[Y5 : $i]: (c_Repl @ (c_Repl @ c_Empty @ c_Inj1) @ c_Inj1)) @ (^[Y5 : (($i > $i) > $i) > $i]: ((^[Y6 : $i > $i > $i]: ((^[Y7 : $i]: ((^[Y8 : $i]: (Y7)))))))) @ (c_binunion @ (c_Repl @ (Y2 @ (^[Y5 : $i > $i > $i]: ((^[Y6 : $i > $i]: ((^[Y7 : $i]: (c_Repl @ (c_binunion @ (c_Repl @ c_Empty @ (^[Y8 : $i]: (c_Repl @ Y8 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1)) @ c_Inj1))))))) @ (^[Y5 : $i]: (c_Repl @ Y5 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1))) => (X1 @ (^[Y5 : $i]: ((^[Y6 : $i > $i > $i]: (c_Repl @ Y5 @ c_Inj1)))) @ Y4 @ (c_binunion @ (c_Repl @ (c_binunion @ (c_Repl @ (c_binunion @ (c_Repl @ c_Empty @ (^[Y5 : $i]: (c_Repl @ Y5 @ c_Inj1))) @ (c_Repl @ (c_binunion @ (c_Repl @ c_Empty @ (^[Y5 : $i]: (c_Repl @ Y5 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1)) @ c_Inj1)) @ (^[Y5 : $i]: (c_Repl @ Y5 @ c_Inj1))) @ (c_Repl @ (c_Repl @ c_Empty @ c_Inj1) @ c_Inj1)) @ (^[Y5 : $i]: (c_Repl @ Y5 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1))))))))))) => ((!! 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@ ($i > $i) @ (^[Y2 : $i > $i]: (!! @ $i @ (^[Y3 : $i]: (!! @ ($i > $i > $i) @ (^[Y4 : $i > $i > $i]: ((c_In @ (c_Repl @ (c_Inj1 @ c_Empty) @ c_Inj1) @ (c_binunion @ (c_Repl @ (c_binunion @ (c_Repl @ (c_Repl @ c_Empty @ c_Inj1) @ (^[Y5 : $i]: (c_Repl @ Y5 @ c_Inj1))) @ (c_Repl @ (c_binunion @ (c_Repl @ (c_binunion @ (c_Repl @ c_Empty @ (^[Y5 : $i]: (c_Repl @ Y5 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1)) @ (^[Y5 : $i]: (c_Repl @ Y5 @ c_Inj1))) @ (c_Repl @ (c_binunion @ (c_Repl @ c_Empty @ (^[Y5 : $i]: (c_Repl @ Y5 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1)) @ c_Inj1)) @ c_Inj1)) @ (^[Y5 : $i]: (c_Repl @ Y5 @ c_Inj1))) @ (c_Repl @ (c_binunion @ (c_Repl @ c_Empty @ (^[Y5 : $i]: (c_Repl @ Y5 @ c_Inj1))) @ (c_Repl @ (c_binunion @ (c_Repl @ (c_Repl @ c_Empty @ c_Inj1) @ (^[Y5 : $i]: (c_Repl @ Y5 @ c_Inj1))) @ (c_Repl @ (Y4 @ c_Empty @ c_Empty) @ c_Inj1)) @ c_Inj1)) @ c_Inj1))) => ((Y0 @ (^[Y5 : $i]: (c_Empty)) @ (^[Y5 : (($i > $i) > $i) > $i]: ((^[Y6 : $i > $i > $i]: ((^[Y7 : $i]: ((^[Y8 : $i]: (c_Empty)))))))) @ (c_binunion @ (c_Repl @ (c_binunion @ (c_Repl @ c_Empty @ (^[Y5 : $i]: (c_Repl @ Y5 @ c_Inj1))) @ (c_Repl @ (c_binunion @ (c_Repl @ (c_binunion @ (c_Repl @ c_Empty @ (^[Y5 : $i]: (c_Repl @ Y5 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1)) @ (^[Y5 : $i]: (c_Repl @ Y5 @ c_Inj1))) @ (c_Repl @ (c_Repl @ c_Empty @ c_Inj1) @ c_Inj1)) @ c_Inj1)) @ (^[Y5 : $i]: (c_Repl @ Y5 @ c_Inj1))) @ (c_Repl @ (c_Inj1 @ Y3) @ c_Inj1))) => (X2 @ (^[Y5 : $i]: ((^[Y6 : ($i > $i) > $i]: (c_Repl @ c_Empty @ c_Inj1)))) @ (Y4 @ c_Empty @ (Y2 @ (c_binunion @ (c_Repl @ (c_Inj1 @ c_Empty) @ (^[Y5 : $i]: (c_Repl @ Y5 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1))))))))))))) => (((X1 @ (^[Y2 : $i]: ((^[Y3 : $i > $i > $i]: (c_Empty)))) @ c_Empty @ c_Empty) => (X2 @ (^[Y2 : $i]: ((^[Y3 : ($i > $i) > $i]: (Y3 @ (^[Y4 : $i]: (c_binunion @ (c_Repl @ (c_Inj1 @ (c_Repl @ c_Empty @ c_Inj1)) @ (^[Y5 : $i]: (c_Repl @ Y5 @ c_Inj1))) @ (c_Repl @ (c_binunion @ (c_Repl @ c_Empty @ (^[Y5 : $i]: (c_Repl @ Y5 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1)) @ c_Inj1))))))) @ c_Empty)) => ((!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: (!! @ $i @ (^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: ((c_In @ (c_Repl @ Y2 @ c_Inj1) @ (c_binunion @ (c_Repl @ (c_binunion @ (c_Repl @ Y5 @ (^[Y6 : $i]: (c_Repl @ Y6 @ c_Inj1))) @ (c_Repl @ (c_binunion @ (c_Repl @ Y3 @ (^[Y6 : $i]: (c_Repl @ Y6 @ c_Inj1))) @ (c_Repl @ (c_binunion @ (c_Repl @ c_Empty @ (^[Y6 : $i]: (c_Repl @ Y6 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1)) @ c_Inj1)) @ c_Inj1)) @ (^[Y6 : $i]: (c_Repl @ Y6 @ c_Inj1))) @ (c_Repl @ (c_Inj1 @ (c_binunion @ (c_Repl @ Y3 @ (^[Y6 : $i]: (c_Repl @ Y6 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1))) @ c_Inj1))) => ((X2 @ (^[Y6 : $i]: ((^[Y7 : ($i > $i) > $i]: (Y4)))) @ c_Empty) => (Y0 @ (^[Y6 : $i]: (c_Empty)) @ (^[Y6 : (($i > $i) > $i) > $i]: ((^[Y7 : $i > $i > $i]: ((^[Y8 : $i]: ((^[Y9 : $i]: (c_binunion @ (c_Repl @ c_Empty @ (^[Y10 : $i]: (c_Repl @ Y10 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1))))))))) @ Y3))))))))))) => ((!! @ $i @ (^[Y2 : $i]: (!! @ (((($i > $i) > $i > $i) > $i) > $i) @ (^[Y3 : ((($i > $i) > $i > $i) > $i) > $i]: ((c_In @ (c_Inj1 @ c_Empty) @ Y2) => ((X2 @ (^[Y4 : $i]: ((^[Y5 : ($i > $i) > $i]: (c_Empty)))) @ c_Empty) => (Y1 @ (^[Y4 : $i]: ((^[Y5 : $i]: ((^[Y6 : ($i > $i) > $i > $i]: (c_Inj1 @ c_Empty)))))) @ (c_Inj1 @ (c_Inj1 @ (Y3 @ (^[Y4 : ($i > $i) > $i > $i]: (c_Empty))))) @ (c_Inj1 @ (c_binunion @ (c_Repl @ (c_binunion @ (c_Repl @ (c_Repl @ c_Empty @ c_Inj1) @ (^[Y4 : $i]: (c_Repl @ Y4 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1)) @ (^[Y4 : $i]: (c_Repl @ Y4 @ c_Inj1))) @ (c_Repl @ (c_Inj1 @ (c_Repl @ c_Empty @ c_Inj1)) @ c_Inj1)))))))))) => ((!! @ $i @ (^[Y2 : $i]: (!! @ ($i > $i) @ (^[Y3 : $i > $i]: ((Y1 @ (^[Y4 : $i]: ((^[Y5 : $i]: ((^[Y6 : ($i > $i) > $i > $i]: (c_Empty)))))) @ (Y3 @ c_Empty) @ Y2) => (!! @ $o @ (^[Y4 : $o]: (Y4)))))))) => (!! @ $o @ (^[Y2 : $o]: (Y2))))))))))))))))) )),
% 184.35/23.67 inference(beta_eta_normalization,[],[f319])).
% 184.35/23.67 thf(f319,plain,(
% 184.35/23.67 ( ! 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@ $i @ (^[Y3 : $i]: (!! @ ($i > $i) @ (^[Y4 : $i > $i]: ((Y2 @ (^[Y5 : $i]: ((^[Y6 : $i]: ((^[Y7 : ($i > $i) > $i > $i]: (c_Empty)))))) @ (Y4 @ c_Empty) @ Y3) => (!! @ $o @ (^[Y5 : $o]: (Y5)))))))) => (!! @ $o @ (^[Y3 : $o]: (Y3)))))))))))))))) @ X2))) )),
% 184.35/23.67 inference(pi_clausification,[],[f318])).
% 184.35/23.67 thf(f318,plain,(
% 184.35/23.67 ( ! 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@ $i @ (^[Y3 : $i]: (!! @ ($i > $i) @ (^[Y4 : $i > $i]: ((Y2 @ (^[Y5 : $i]: ((^[Y6 : $i]: ((^[Y7 : ($i > $i) > $i > $i]: (c_Empty)))))) @ (Y4 @ c_Empty) @ Y3) => (!! @ $o @ (^[Y5 : $o]: (Y5)))))))) => (!! @ $o @ (^[Y3 : $o]: (Y3))))))))))))))))))) )),
% 184.35/23.67 inference(beta_eta_normalization,[],[f317])).
% 184.35/23.67 thf(f317,plain,(
% 184.35/23.67 ( ! 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% 184.35/23.67 inference(pi_clausification,[],[f309])).
% 184.35/23.67 thf(f309,plain,(
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@ (((($i > $i) > $i > $i) > $i) > $i) @ (^[Y4 : ((($i > $i) > $i > $i) > $i) > $i]: (!! @ $i @ (^[Y5 : $i]: (!! @ $i @ (^[Y6 : $i]: ((Y0 @ (^[Y7 : $i]: ((^[Y8 : $i > $i > $i]: (c_Empty)))) @ Y6 @ (c_binunion @ (c_Repl @ (c_binunion @ (c_Repl @ (c_binunion @ (c_Repl @ (c_binunion @ (c_Repl @ c_Empty @ (^[Y7 : $i]: (c_Repl @ Y7 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1)) @ (^[Y7 : $i]: (c_Repl @ Y7 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1)) @ (^[Y7 : $i]: (c_Repl @ Y7 @ c_Inj1))) @ (c_Repl @ (c_binunion @ (c_Repl @ (c_binunion @ (c_Repl @ c_Empty @ (^[Y7 : $i]: (c_Repl @ Y7 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1)) @ (^[Y7 : $i]: (c_Repl @ Y7 @ c_Inj1))) @ (c_Repl @ (c_Repl @ c_Empty @ c_Inj1) @ c_Inj1)) @ c_Inj1)) @ (^[Y7 : $i]: (c_Repl @ Y7 @ c_Inj1))) @ (c_Repl @ (c_binunion @ (c_Repl @ c_Empty @ (^[Y7 : $i]: (c_Repl @ Y7 @ c_Inj1))) @ (c_Repl @ (c_Inj1 @ (c_binunion @ (c_Repl @ c_Empty @ (^[Y7 : $i]: (c_Repl @ Y7 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1))) @ c_Inj1)) @ c_Inj1))) => (Y0 @ (^[Y7 : $i]: ((^[Y8 : $i > $i > $i]: (Y6)))) @ (c_binunion @ (c_Repl @ (Y4 @ (^[Y7 : ($i > $i) > $i > $i]: (Y6))) @ (^[Y7 : $i]: (c_Repl @ Y7 @ c_Inj1))) @ (c_Repl @ Y5 @ c_Inj1)) @ (c_Repl @ (c_Inj1 @ (c_binunion @ (c_Repl @ (c_binunion @ (c_Repl @ c_Empty @ (^[Y7 : $i]: (c_Repl @ Y7 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1)) @ (^[Y7 : $i]: (c_Repl @ Y7 @ c_Inj1))) @ (c_Repl @ (c_binunion @ (c_Repl @ c_Empty @ (^[Y7 : $i]: (c_Repl @ Y7 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1)) @ c_Inj1))) @ c_Inj1))))))))) => ((!! @ ($i > (($i > $i) > $i > $i) > $i) @ (^[Y4 : $i > (($i > $i) > $i > $i) > $i]: (!! @ (((($i > $i) > $i > $i) > ($i > $i) > $i > $i) > ($i > $i > $i) > $i) @ (^[Y5 : ((($i > $i) > $i > $i) > ($i > $i) > $i > $i) > ($i > $i > $i) > $i]: (!! @ $i @ (^[Y6 : $i]: ((c_In @ (c_Repl @ c_Empty @ c_Inj1) @ (c_binunion @ (c_Repl @ c_Empty @ (^[Y7 : $i]: (c_Repl @ Y7 @ c_Inj1))) @ (c_Repl @ (Y4 @ (c_Repl @ (c_binunion @ (c_Repl @ c_Empty @ (^[Y7 : $i]: (c_Repl @ Y7 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1)) @ c_Inj1) @ (^[Y7 : $i > $i]: ((^[Y8 : $i]: (c_Repl @ c_Empty @ c_Inj1))))) @ c_Inj1))) => ((Y3 @ (^[Y7 : $i]: ((^[Y8 : $i]: ((^[Y9 : ($i > $i) > $i > $i]: (Y7)))))) @ Y6 @ (Y5 @ (^[Y7 : ($i > $i) > $i > $i]: ((^[Y8 : $i > $i]: ((^[Y9 : $i]: (c_Inj1 @ c_Empty)))))) @ (^[Y7 : $i]: ((^[Y8 : $i]: (c_Empty)))))) => (Y2 @ (^[Y7 : $i]: (Y7)) @ (^[Y7 : (($i > $i) > $i) > $i]: ((^[Y8 : $i > $i > $i]: ((^[Y9 : $i]: ((^[Y10 : $i]: (Y9)))))))) @ (c_binunion @ (c_Repl @ (c_Repl @ c_Empty @ c_Inj1) @ (^[Y7 : $i]: (c_Repl @ Y7 @ c_Inj1))) @ (c_Repl @ (Y5 @ (^[Y7 : ($i > $i) > $i > $i]: ((^[Y8 : $i > $i]: ((^[Y9 : $i]: (c_Repl @ c_Empty @ c_Inj1)))))) @ (^[Y7 : $i]: ((^[Y8 : $i]: (Y8))))) @ c_Inj1))))))))))) => ((!! @ ($i > $i) @ (^[Y4 : $i > $i]: (!! @ $i @ (^[Y5 : $i]: (!! @ ($i > $i > $i) @ (^[Y6 : $i > $i > $i]: ((c_In @ (c_Repl @ (c_Inj1 @ c_Empty) @ c_Inj1) @ (c_binunion @ (c_Repl @ (c_binunion @ (c_Repl @ (c_Repl @ c_Empty @ c_Inj1) @ (^[Y7 : $i]: (c_Repl @ Y7 @ c_Inj1))) @ (c_Repl @ (c_binunion @ (c_Repl @ (c_binunion @ (c_Repl @ c_Empty @ (^[Y7 : $i]: (c_Repl @ Y7 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1)) @ (^[Y7 : $i]: (c_Repl @ Y7 @ c_Inj1))) @ (c_Repl @ (c_binunion @ (c_Repl @ c_Empty @ (^[Y7 : $i]: (c_Repl @ Y7 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1)) @ c_Inj1)) @ c_Inj1)) @ (^[Y7 : $i]: (c_Repl @ Y7 @ c_Inj1))) @ (c_Repl @ (c_binunion @ (c_Repl @ c_Empty @ (^[Y7 : $i]: (c_Repl @ Y7 @ c_Inj1))) @ (c_Repl @ (c_binunion @ (c_Repl @ (c_Repl @ c_Empty @ c_Inj1) @ (^[Y7 : $i]: (c_Repl @ Y7 @ c_Inj1))) @ (c_Repl @ (Y6 @ c_Empty @ c_Empty) @ c_Inj1)) @ c_Inj1)) @ c_Inj1))) => ((Y2 @ (^[Y7 : $i]: (c_Empty)) @ (^[Y7 : (($i > $i) > $i) > $i]: ((^[Y8 : $i > $i > $i]: ((^[Y9 : $i]: ((^[Y10 : $i]: (c_Empty)))))))) @ (c_binunion @ (c_Repl @ (c_binunion @ (c_Repl @ c_Empty @ (^[Y7 : $i]: (c_Repl @ Y7 @ c_Inj1))) @ (c_Repl @ (c_binunion @ (c_Repl @ (c_binunion @ (c_Repl @ c_Empty @ (^[Y7 : $i]: (c_Repl @ Y7 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1)) @ (^[Y7 : $i]: (c_Repl @ Y7 @ c_Inj1))) @ (c_Repl @ (c_Repl @ c_Empty @ c_Inj1) @ c_Inj1)) @ c_Inj1)) @ (^[Y7 : $i]: (c_Repl @ Y7 @ c_Inj1))) @ (c_Repl @ (c_Inj1 @ Y5) @ c_Inj1))) => (Y1 @ (^[Y7 : $i]: ((^[Y8 : ($i > $i) > $i]: (c_Repl @ c_Empty @ c_Inj1)))) @ (Y6 @ c_Empty @ (Y4 @ (c_binunion @ (c_Repl @ (c_Inj1 @ c_Empty) @ (^[Y7 : $i]: (c_Repl @ Y7 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1))))))))))))) => (((Y0 @ (^[Y4 : $i]: ((^[Y5 : $i > $i > $i]: (c_Empty)))) @ c_Empty @ c_Empty) => (Y1 @ (^[Y4 : $i]: ((^[Y5 : ($i > $i) > $i]: (Y5 @ (^[Y6 : $i]: (c_binunion @ (c_Repl @ (c_Inj1 @ (c_Repl @ c_Empty @ c_Inj1)) @ (^[Y7 : $i]: (c_Repl @ Y7 @ c_Inj1))) @ (c_Repl @ (c_binunion @ (c_Repl @ c_Empty @ (^[Y7 : $i]: (c_Repl @ Y7 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1)) @ c_Inj1))))))) @ c_Empty)) => ((!! @ $i @ (^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: (!! @ $i @ (^[Y6 : $i]: (!! @ $i @ (^[Y7 : $i]: ((c_In @ (c_Repl @ Y4 @ c_Inj1) @ (c_binunion @ (c_Repl @ (c_binunion @ (c_Repl @ Y7 @ (^[Y8 : $i]: (c_Repl @ Y8 @ c_Inj1))) @ (c_Repl @ (c_binunion @ (c_Repl @ Y5 @ (^[Y8 : $i]: (c_Repl @ Y8 @ c_Inj1))) @ (c_Repl @ (c_binunion @ (c_Repl @ c_Empty @ (^[Y8 : $i]: (c_Repl @ Y8 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1)) @ c_Inj1)) @ c_Inj1)) @ (^[Y8 : $i]: (c_Repl @ Y8 @ c_Inj1))) @ (c_Repl @ (c_Inj1 @ (c_binunion @ (c_Repl @ Y5 @ (^[Y8 : $i]: (c_Repl @ Y8 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1))) @ c_Inj1))) => ((Y1 @ (^[Y8 : $i]: ((^[Y9 : ($i > $i) > $i]: (Y6)))) @ c_Empty) => (Y2 @ (^[Y8 : $i]: (c_Empty)) @ (^[Y8 : (($i > $i) > $i) > $i]: ((^[Y9 : $i > $i > $i]: ((^[Y10 : $i]: ((^[Y11 : $i]: (c_binunion @ (c_Repl @ c_Empty @ (^[Y12 : $i]: (c_Repl @ Y12 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1))))))))) @ Y5))))))))))) => ((!! @ $i @ (^[Y4 : $i]: (!! @ (((($i > $i) > $i > $i) > $i) > $i) @ (^[Y5 : ((($i > $i) > $i > $i) > $i) > $i]: ((c_In @ (c_Inj1 @ c_Empty) @ Y4) => ((Y1 @ (^[Y6 : $i]: ((^[Y7 : ($i > $i) > $i]: (c_Empty)))) @ c_Empty) => (Y3 @ (^[Y6 : $i]: ((^[Y7 : $i]: ((^[Y8 : ($i > $i) > $i > $i]: (c_Inj1 @ c_Empty)))))) @ (c_Inj1 @ (c_Inj1 @ (Y5 @ (^[Y6 : ($i > $i) > $i > $i]: (c_Empty))))) @ (c_Inj1 @ (c_binunion @ (c_Repl @ (c_binunion @ (c_Repl @ (c_Repl @ c_Empty @ c_Inj1) @ (^[Y6 : $i]: (c_Repl @ Y6 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1)) @ (^[Y6 : $i]: (c_Repl @ Y6 @ c_Inj1))) @ (c_Repl @ (c_Inj1 @ (c_Repl @ c_Empty @ c_Inj1)) @ c_Inj1)))))))))) => ((!! @ $i @ (^[Y4 : $i]: (!! @ ($i > $i) @ (^[Y5 : $i > $i]: ((Y3 @ (^[Y6 : $i]: ((^[Y7 : $i]: ((^[Y8 : ($i > $i) > $i > $i]: (c_Empty)))))) @ (Y5 @ c_Empty) @ Y4) => (!! @ $o @ (^[Y6 : $o]: (Y6)))))))) => (!! @ $o @ (^[Y4 : $o]: (Y4))))))))))))))))))))),
% 184.35/23.67 inference(binary_proxy_clausification,[],[f307])).
% 184.35/23.67 % SZS output end Proof for Vampire---4
% 184.35/23.67 % (15542)------------------------------
% 184.35/23.67 % (15542)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 184.35/23.67 % (15542)Termination reason: Refutation
% 184.35/23.67
% 184.35/23.67 % (15542)Memory used [KB]: 12409
% 184.35/23.67 % (15542)Time elapsed: 3.262 s
% 184.35/23.67 % (15542)Instructions burned: 10979 (million)
% 184.35/23.67 % (15542)------------------------------
% 184.35/23.67 % (15542)------------------------------
% 184.35/23.67 % (15125)Success in time 23.295 s
% 184.35/23.67 % Vampire---4.8 exiting
%------------------------------------------------------------------------------