TSTP Solution File: SEV524^1 by Vampire---4.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SEV524^1 : TPTP v8.2.0. 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 : n028.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue May 21 04:14:06 EDT 2024
% Result : Theorem 169.56s 21.72s
% Output : Refutation 169.56s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SEV524^1 : TPTP v8.2.0. Released v7.5.0.
% 0.07/0.14 % 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
% 0.13/0.34 % Computer : n028.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Sun May 19 18:25:38 EDT 2024
% 0.13/0.34 % CPUTime :
% 0.13/0.34 This is a TH0_THM_EQU_NAR problem
% 0.13/0.35 Running vampire_ho --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_hol --cores 8 -m 12000 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.37 % (31264)lrs+1002_1:1_au=on:bd=off:e2e=on:sd=2:sos=on:ss=axioms:i=275:si=on:rtra=on_0 on theBenchmark for (2999ds/275Mi)
% 0.13/0.37 % (31265)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on theBenchmark for (2999ds/18Mi)
% 0.13/0.37 % (31266)lrs+10_1:1_bet=on:cnfonf=off:fd=off:hud=5:inj=on:i=3:si=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.13/0.37 % (31259)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on theBenchmark for (2999ds/183Mi)
% 0.13/0.37 % (31260)lrs+10_1:1_c=on:cnfonf=conj_eager:fd=off:fe=off:kws=frequency:spb=intro:i=4:si=on:rtra=on_0 on theBenchmark for (2999ds/4Mi)
% 0.13/0.37 % (31262)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.13/0.37 % (31261)dis+1010_1:1_au=on:cbe=off:chr=on:fsr=off:hfsq=on:nm=64:sos=theory:sp=weighted_frequency:i=27:si=on:rtra=on_0 on theBenchmark for (2999ds/27Mi)
% 0.13/0.37 % (31263)lrs+1002_1:128_aac=none:au=on:cnfonf=lazy_not_gen_be_off:sos=all:i=2:si=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.13/0.37 % (31262)Instruction limit reached!
% 0.13/0.37 % (31262)------------------------------
% 0.13/0.37 % (31262)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.13/0.37 % (31262)Termination reason: Unknown
% 0.13/0.37 % (31262)Termination phase: shuffling
% 0.13/0.37
% 0.13/0.37 % (31262)Memory used [KB]: 1279
% 0.13/0.37 % (31262)Time elapsed: 0.003 s
% 0.13/0.37 % (31262)Instructions burned: 2 (million)
% 0.13/0.37 % (31262)------------------------------
% 0.13/0.37 % (31262)------------------------------
% 0.13/0.38 % (31266)Instruction limit reached!
% 0.13/0.38 % (31266)------------------------------
% 0.13/0.38 % (31266)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.13/0.38 % (31266)Termination reason: Unknown
% 0.13/0.38 % (31266)Termination phase: shuffling
% 0.13/0.38
% 0.13/0.38 % (31266)Memory used [KB]: 1279
% 0.13/0.38 % (31263)Instruction limit reached!
% 0.13/0.38 % (31263)------------------------------
% 0.13/0.38 % (31263)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.13/0.38 % (31263)Termination reason: Unknown
% 0.13/0.38 % (31263)Termination phase: shuffling
% 0.13/0.38
% 0.13/0.38 % (31263)Memory used [KB]: 1151
% 0.13/0.38 % (31263)Time elapsed: 0.003 s
% 0.13/0.38 % (31263)Instructions burned: 2 (million)
% 0.13/0.38 % (31263)------------------------------
% 0.13/0.38 % (31263)------------------------------
% 0.13/0.38 % (31266)Time elapsed: 0.004 s
% 0.13/0.38 % (31266)Instructions burned: 4 (million)
% 0.13/0.38 % (31266)------------------------------
% 0.13/0.38 % (31266)------------------------------
% 0.13/0.38 % (31260)Instruction limit reached!
% 0.13/0.38 % (31260)------------------------------
% 0.13/0.38 % (31260)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.13/0.38 % (31260)Termination reason: Unknown
% 0.13/0.38 % (31260)Termination phase: shuffling
% 0.13/0.38
% 0.13/0.38 % (31260)Memory used [KB]: 1279
% 0.13/0.38 % (31260)Time elapsed: 0.004 s
% 0.13/0.38 % (31260)Instructions burned: 4 (million)
% 0.13/0.38 % (31260)------------------------------
% 0.13/0.38 % (31260)------------------------------
% 0.20/0.38 % (31265)Instruction limit reached!
% 0.20/0.38 % (31265)------------------------------
% 0.20/0.38 % (31265)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.38 % (31265)Termination reason: Unknown
% 0.20/0.38 % (31265)Termination phase: shuffling
% 0.20/0.38
% 0.20/0.38 % (31265)Memory used [KB]: 1535
% 0.20/0.38 % (31265)Time elapsed: 0.010 s
% 0.20/0.38 % (31265)Instructions burned: 18 (million)
% 0.20/0.38 % (31265)------------------------------
% 0.20/0.38 % (31265)------------------------------
% 0.20/0.39 % (31261)Instruction limit reached!
% 0.20/0.39 % (31261)------------------------------
% 0.20/0.39 % (31261)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.39 % (31261)Termination reason: Unknown
% 0.20/0.39 % (31261)Termination phase: Property scanning
% 0.20/0.39
% 0.20/0.39 % (31261)Memory used [KB]: 1535
% 0.20/0.39 % (31261)Time elapsed: 0.016 s
% 0.20/0.39 % (31261)Instructions burned: 27 (million)
% 0.20/0.39 % (31261)------------------------------
% 0.20/0.39 % (31261)------------------------------
% 0.20/0.39 % (31269)dis+21_1:1_cbe=off:cnfonf=off:fs=off:fsr=off:hud=1:inj=on:i=3:si=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.20/0.39 % (31267)lrs+1002_1:1_cnfonf=lazy_not_be_gen:hud=14:prag=on:sp=weighted_frequency:tnu=1:i=37:si=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.20/0.39 % (31268)lrs+2_16:1_acc=model:au=on:bd=off:c=on:e2e=on:nm=2:sos=all:i=15:si=on:rtra=on_0 on theBenchmark for (2999ds/15Mi)
% 0.20/0.39 % (31269)Instruction limit reached!
% 0.20/0.39 % (31269)------------------------------
% 0.20/0.39 % (31269)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.39 % (31269)Termination reason: Unknown
% 0.20/0.39 % (31269)Termination phase: shuffling
% 0.20/0.39
% 0.20/0.39 % (31269)Memory used [KB]: 1279
% 0.20/0.39 % (31269)Time elapsed: 0.003 s
% 0.20/0.39 % (31269)Instructions burned: 3 (million)
% 0.20/0.39 % (31269)------------------------------
% 0.20/0.39 % (31269)------------------------------
% 0.20/0.39 % (31270)lrs+1002_1:1_aac=none:au=on:cnfonf=lazy_gen:plsq=on:plsqc=1:plsqr=4203469,65536:i=1041:si=on:rtra=on_0 on theBenchmark for (2999ds/1041Mi)
% 0.20/0.40 % (31271)lrs+10_1:1_av=off:chr=on:plsq=on:slsq=on:i=7:si=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.20/0.40 % (31268)Instruction limit reached!
% 0.20/0.40 % (31268)------------------------------
% 0.20/0.40 % (31268)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.40 % (31268)Termination reason: Unknown
% 0.20/0.40 % (31268)Termination phase: shuffling
% 0.20/0.40
% 0.20/0.40 % (31268)Memory used [KB]: 1535
% 0.20/0.40 % (31268)Time elapsed: 0.010 s
% 0.20/0.40 % (31268)Instructions burned: 16 (million)
% 0.20/0.40 % (31268)------------------------------
% 0.20/0.40 % (31268)------------------------------
% 0.20/0.40 % (31271)Instruction limit reached!
% 0.20/0.40 % (31271)------------------------------
% 0.20/0.40 % (31271)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.40 % (31271)Termination reason: Unknown
% 0.20/0.40 % (31271)Termination phase: shuffling
% 0.20/0.40
% 0.20/0.40 % (31271)Memory used [KB]: 1279
% 0.20/0.40 % (31271)Time elapsed: 0.005 s
% 0.20/0.40 % (31271)Instructions burned: 8 (million)
% 0.20/0.40 % (31271)------------------------------
% 0.20/0.40 % (31271)------------------------------
% 0.20/0.40 % (31272)lrs+10_1:1_acc=on:amm=sco:cs=on:tgt=full:i=16:si=on:rtra=on_0 on theBenchmark for (2999ds/16Mi)
% 0.20/0.41 % (31273)lrs+21_1:1_au=on:cnfonf=off:fd=preordered:fe=off:fsr=off:hud=11:inj=on:kws=precedence:s2pl=no:sp=weighted_frequency:tgt=full:i=3:si=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.20/0.41 % (31273)Instruction limit reached!
% 0.20/0.41 % (31273)------------------------------
% 0.20/0.41 % (31273)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.41 % (31273)Termination reason: Unknown
% 0.20/0.41 % (31273)Termination phase: shuffling
% 0.20/0.41
% 0.20/0.41 % (31273)Memory used [KB]: 1279
% 0.20/0.41 % (31273)Time elapsed: 0.003 s
% 0.20/0.41 % (31273)Instructions burned: 3 (million)
% 0.20/0.41 % (31273)------------------------------
% 0.20/0.41 % (31273)------------------------------
% 0.20/0.41 % (31267)Instruction limit reached!
% 0.20/0.41 % (31267)------------------------------
% 0.20/0.41 % (31267)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.41 % (31267)Termination reason: Unknown
% 0.20/0.41 % (31267)Termination phase: Property scanning
% 0.20/0.41
% 0.20/0.41 % (31267)Memory used [KB]: 1535
% 0.20/0.41 % (31267)Time elapsed: 0.020 s
% 0.20/0.41 % (31267)Instructions burned: 38 (million)
% 0.20/0.41 % (31267)------------------------------
% 0.20/0.41 % (31267)------------------------------
% 0.20/0.41 % (31272)Instruction limit reached!
% 0.20/0.41 % (31272)------------------------------
% 0.20/0.41 % (31272)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.41 % (31272)Termination reason: Unknown
% 0.20/0.41 % (31272)Termination phase: shuffling
% 0.20/0.41
% 0.20/0.41 % (31272)Memory used [KB]: 1535
% 0.20/0.41 % (31272)Time elapsed: 0.011 s
% 0.20/0.41 % (31272)Instructions burned: 17 (million)
% 0.20/0.41 % (31272)------------------------------
% 0.20/0.41 % (31272)------------------------------
% 0.20/0.41 % (31274)lrs+2_1:1_apa=on:au=on:bd=preordered:cnfonf=off:cs=on:ixr=off:sos=on:i=3:si=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.20/0.41 % (31274)Instruction limit reached!
% 0.20/0.41 % (31274)------------------------------
% 0.20/0.41 % (31274)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.41 % (31274)Termination reason: Unknown
% 0.20/0.41 % (31274)Termination phase: shuffling
% 0.20/0.41
% 0.20/0.41 % (31274)Memory used [KB]: 1279
% 0.20/0.41 % (31274)Time elapsed: 0.004 s
% 0.20/0.41 % (31274)Instructions burned: 4 (million)
% 0.20/0.41 % (31274)------------------------------
% 0.20/0.41 % (31274)------------------------------
% 0.20/0.42 % (31275)lrs+10_1:1_cnfonf=off:cs=on:hud=3:prag=on:sup=off:i=7:si=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.20/0.42 % (31275)Instruction limit reached!
% 0.20/0.42 % (31275)------------------------------
% 0.20/0.42 % (31275)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.42 % (31275)Termination reason: Unknown
% 0.20/0.42 % (31275)Termination phase: shuffling
% 0.20/0.42
% 0.20/0.42 % (31275)Memory used [KB]: 1279
% 0.20/0.42 % (31275)Time elapsed: 0.005 s
% 0.20/0.42 % (31275)Instructions burned: 8 (million)
% 0.20/0.42 % (31275)------------------------------
% 0.20/0.42 % (31275)------------------------------
% 0.20/0.42 % (31276)dis+1002_1:1_add=large:cnfonf=lazy_pi_sigma_gen:fe=off:prag=on:i=3:si=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.20/0.42 % (31276)Instruction limit reached!
% 0.20/0.42 % (31276)------------------------------
% 0.20/0.42 % (31276)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.42 % (31276)Termination reason: Unknown
% 0.20/0.42 % (31276)Termination phase: shuffling
% 0.20/0.42
% 0.20/0.42 % (31276)Memory used [KB]: 1279
% 0.20/0.42 % (31276)Time elapsed: 0.003 s
% 0.20/0.42 % (31276)Instructions burned: 3 (million)
% 0.20/0.42 % (31276)------------------------------
% 0.20/0.42 % (31276)------------------------------
% 0.20/0.42 % (31277)dis+1004_1:1_cha=on:cs=on:fe=off:hud=1:i=4:si=on:rtra=on_0 on theBenchmark for (2999ds/4Mi)
% 0.20/0.43 % (31278)lrs+1002_1:1_anc=all_dependent:au=on:cbe=off:fde=unused:ntd=on:i=18:si=on:rtra=on_0 on theBenchmark for (2999ds/18Mi)
% 0.20/0.43 % (31277)Instruction limit reached!
% 0.20/0.43 % (31277)------------------------------
% 0.20/0.43 % (31277)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.43 % (31277)Termination reason: Unknown
% 0.20/0.43 % (31277)Termination phase: shuffling
% 0.20/0.43
% 0.20/0.43 % (31277)Memory used [KB]: 1279
% 0.20/0.43 % (31277)Time elapsed: 0.004 s
% 0.20/0.43 % (31277)Instructions burned: 6 (million)
% 0.20/0.43 % (31277)------------------------------
% 0.20/0.43 % (31277)------------------------------
% 0.20/0.43 % (31279)lrs+10_1:1_e2e=on:sd=1:sgt=8:ss=axioms:i=710:si=on:rtra=on_0 on theBenchmark for (2999ds/710Mi)
% 0.20/0.43 % (31280)lrs+1004_1:1_chr=on:prag=on:i=6:si=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 0.20/0.44 % (31278)Instruction limit reached!
% 0.20/0.44 % (31278)------------------------------
% 0.20/0.44 % (31278)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.44 % (31278)Termination reason: Unknown
% 0.20/0.44 % (31278)Termination phase: shuffling
% 0.20/0.44
% 0.20/0.44 % (31278)Memory used [KB]: 1535
% 0.20/0.44 % (31278)Time elapsed: 0.011 s
% 0.20/0.44 % (31278)Instructions burned: 18 (million)
% 0.20/0.44 % (31278)------------------------------
% 0.20/0.44 % (31278)------------------------------
% 0.20/0.44 % (31280)Instruction limit reached!
% 0.20/0.44 % (31280)------------------------------
% 0.20/0.44 % (31280)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.44 % (31280)Termination reason: Unknown
% 0.20/0.44 % (31280)Termination phase: shuffling
% 0.20/0.44
% 0.20/0.44 % (31280)Memory used [KB]: 1279
% 0.20/0.44 % (31280)Time elapsed: 0.005 s
% 0.20/0.44 % (31280)Instructions burned: 8 (million)
% 0.20/0.44 % (31280)------------------------------
% 0.20/0.44 % (31280)------------------------------
% 0.20/0.44 % (31281)dis+1002_5:1_au=on:bd=off:e2e=on:fde=none:fs=off:fsr=off:sos=on:i=902:si=on:rtra=on_0 on theBenchmark for (2999ds/902Mi)
% 0.20/0.44 % (31282)dis+21_1:8_apa=on:cnfonf=off:fd=off:fsr=off:hud=0:ins=1:kws=inv_frequency:nwc=10.0:ss=axioms:st=5.0:i=21:si=on:rtra=on_0 on theBenchmark for (2999ds/21Mi)
% 0.20/0.45 % (31259)Instruction limit reached!
% 0.20/0.45 % (31259)------------------------------
% 0.20/0.45 % (31259)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.45 % (31259)Termination reason: Unknown
% 0.20/0.45 % (31259)Termination phase: Property scanning
% 0.20/0.45
% 0.20/0.45 % (31259)Memory used [KB]: 1791
% 0.20/0.45 % (31259)Time elapsed: 0.078 s
% 0.20/0.45 % (31259)Instructions burned: 185 (million)
% 0.20/0.45 % (31259)------------------------------
% 0.20/0.45 % (31259)------------------------------
% 0.20/0.45 % (31283)dis+10_1:1_cnfonf=lazy_gen:fe=off:i=5:si=on:rtra=on_0 on theBenchmark for (2999ds/5Mi)
% 0.20/0.45 % (31282)Instruction limit reached!
% 0.20/0.45 % (31282)------------------------------
% 0.20/0.45 % (31282)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.45 % (31282)Termination reason: Unknown
% 0.20/0.45 % (31282)Termination phase: Property scanning
% 0.20/0.45
% 0.20/0.45 % (31282)Memory used [KB]: 1535
% 0.20/0.45 % (31282)Time elapsed: 0.011 s
% 0.20/0.45 % (31282)Instructions burned: 21 (million)
% 0.20/0.45 % (31282)------------------------------
% 0.20/0.45 % (31282)------------------------------
% 0.20/0.45 % (31283)Instruction limit reached!
% 0.20/0.45 % (31283)------------------------------
% 0.20/0.45 % (31283)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.45 % (31283)Termination reason: Unknown
% 0.20/0.45 % (31283)Termination phase: shuffling
% 0.20/0.45
% 0.20/0.45 % (31283)Memory used [KB]: 1279
% 0.20/0.45 % (31283)Time elapsed: 0.005 s
% 0.20/0.45 % (31283)Instructions burned: 6 (million)
% 0.20/0.45 % (31283)------------------------------
% 0.20/0.45 % (31283)------------------------------
% 0.20/0.45 % (31284)lrs+2_1:1_cnfonf=lazy_not_gen_be_off:cs=on:fe=off:hud=10:inj=on:ins=3:plsq=on:plsqc=1:sd=10:ss=axioms:tnu=1:i=6:si=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 0.20/0.46 % (31284)Instruction limit reached!
% 0.20/0.46 % (31284)------------------------------
% 0.20/0.46 % (31284)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.46 % (31284)Termination reason: Unknown
% 0.20/0.46 % (31284)Termination phase: shuffling
% 0.20/0.46
% 0.20/0.46 % (31284)Memory used [KB]: 1279
% 0.20/0.46 % (31284)Time elapsed: 0.005 s
% 0.20/0.46 % (31284)Instructions burned: 8 (million)
% 0.20/0.46 % (31284)------------------------------
% 0.20/0.46 % (31284)------------------------------
% 0.20/0.46 % (31285)lrs+1002_1:128_au=on:c=on:fsr=off:piset=equals:i=377:si=on:rtra=on_0 on theBenchmark for (2998ds/377Mi)
% 0.20/0.47 % (31286)dis+1010_1:4_atotf=0.2:c=on:cbe=off:cnfonf=lazy_simp:fe=off:ins=2:ntd=on:s2a=on:s2at=5.0:sgt=5:ss=axioms:st=1.5:i=779:si=on:rtra=on_0 on theBenchmark for (2998ds/779Mi)
% 0.20/0.47 % (31287)lrs+10_1:1_cnfonf=lazy_not_be_gen:ntd=on:sp=const_min:ss=axioms:sup=off:i=19:si=on:rtra=on_0 on theBenchmark for (2998ds/19Mi)
% 0.20/0.47 % (31288)lrs+1010_1:1_au=on:s2a=on:sd=1:sgt=50:ss=axioms:i=879:si=on:rtra=on_0 on theBenchmark for (2998ds/879Mi)
% 0.20/0.47 % (31281)Refutation not found, incomplete strategy
% 0.20/0.47 % (31281)------------------------------
% 0.20/0.47 % (31281)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.47 % (31281)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.47
% 0.20/0.47
% 0.20/0.47 % (31281)Memory used [KB]: 6268
% 0.20/0.47 % (31281)Time elapsed: 0.033 s
% 0.20/0.47 % (31281)Instructions burned: 68 (million)
% 0.20/0.47 % (31281)------------------------------
% 0.20/0.47 % (31281)------------------------------
% 0.20/0.48 % (31287)Instruction limit reached!
% 0.20/0.48 % (31287)------------------------------
% 0.20/0.48 % (31287)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.48 % (31287)Termination reason: Unknown
% 0.20/0.48 % (31287)Termination phase: shuffling
% 0.20/0.48
% 0.20/0.48 % (31287)Memory used [KB]: 1535
% 0.20/0.48 % (31287)Time elapsed: 0.010 s
% 0.20/0.48 % (31287)Instructions burned: 19 (million)
% 0.20/0.48 % (31287)------------------------------
% 0.20/0.48 % (31287)------------------------------
% 0.20/0.48 % (31289)dis+1002_1:128_acc=on:er=filter:i=17:si=on:rtra=on_0 on theBenchmark for (2998ds/17Mi)
% 0.20/0.49 % (31289)Instruction limit reached!
% 0.20/0.49 % (31289)------------------------------
% 0.20/0.49 % (31289)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.49 % (31289)Termination reason: Unknown
% 0.20/0.49 % (31289)Termination phase: shuffling
% 0.20/0.49
% 0.20/0.49 % (31289)Memory used [KB]: 1535
% 0.20/0.49 % (31289)Time elapsed: 0.006 s
% 0.20/0.49 % (31289)Instructions burned: 17 (million)
% 0.20/0.49 % (31289)------------------------------
% 0.20/0.49 % (31289)------------------------------
% 0.20/0.49 % (31264)Instruction limit reached!
% 0.20/0.49 % (31264)------------------------------
% 0.20/0.49 % (31264)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.49 % (31264)Termination reason: Unknown
% 0.20/0.49 % (31264)Termination phase: Saturation
% 0.20/0.49
% 0.20/0.49 % (31264)Memory used [KB]: 6396
% 0.20/0.49 % (31264)Time elapsed: 0.115 s
% 0.20/0.49 % (31264)Instructions burned: 276 (million)
% 0.20/0.49 % (31264)------------------------------
% 0.20/0.49 % (31264)------------------------------
% 0.20/0.49 % (31290)ott+21_1:1_apa=on:au=on:cnfonf=off:sos=on:i=3:si=on:rtra=on_0 on theBenchmark for (2998ds/3Mi)
% 0.20/0.49 % (31291)lrs+1010_1:8_cnfonf=off:hud=1:inj=on:tnu=5:i=30:si=on:rtra=on_0 on theBenchmark for (2998ds/30Mi)
% 0.20/0.49 % (31290)Instruction limit reached!
% 0.20/0.49 % (31290)------------------------------
% 0.20/0.49 % (31290)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.49 % (31290)Termination reason: Unknown
% 0.20/0.49 % (31290)Termination phase: shuffling
% 0.20/0.49
% 0.20/0.49 % (31290)Memory used [KB]: 1279
% 0.20/0.49 % (31290)Time elapsed: 0.003 s
% 0.20/0.49 % (31290)Instructions burned: 3 (million)
% 0.20/0.49 % (31290)------------------------------
% 0.20/0.49 % (31290)------------------------------
% 0.20/0.50 % (31292)dis+10_1:1_ixr=off:plsq=on:plsqc=1:plsqr=32,1:s2a=on:i=127:si=on:rtra=on_0 on theBenchmark for (2998ds/127Mi)
% 0.20/0.50 % (31291)Instruction limit reached!
% 0.20/0.50 % (31291)------------------------------
% 0.20/0.50 % (31291)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.50 % (31291)Termination reason: Unknown
% 0.20/0.50 % (31291)Termination phase: Property scanning
% 0.20/0.50
% 0.20/0.50 % (31291)Memory used [KB]: 1663
% 0.20/0.50 % (31291)Time elapsed: 0.010 s
% 0.20/0.50 % (31291)Instructions burned: 32 (million)
% 0.20/0.50 % (31291)------------------------------
% 0.20/0.50 % (31291)------------------------------
% 0.20/0.51 % (31293)lrs+1002_1:1_au=on:cbe=off:cnfonf=conj_eager:cond=on:hi=on:i=100:si=on:rtra=on_0 on theBenchmark for (2998ds/100Mi)
% 0.20/0.51 % (31294)dis+10_1:1_anc=none:cnfonf=lazy_gen:fd=preordered:fe=off:hud=10:ins=3:ixr=off:nwc=5.0:plsq=on:plsqc=1:plsqr=32,1:sp=const_frequency:uhcvi=on:i=3:si=on:rtra=on_0 on theBenchmark for (2998ds/3Mi)
% 0.20/0.51 % (31294)Instruction limit reached!
% 0.20/0.51 % (31294)------------------------------
% 0.20/0.51 % (31294)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.51 % (31294)Termination reason: Unknown
% 0.20/0.51 % (31294)Termination phase: shuffling
% 0.20/0.51
% 0.20/0.51 % (31294)Memory used [KB]: 1279
% 0.20/0.51 % (31294)Time elapsed: 0.002 s
% 0.20/0.51 % (31294)Instructions burned: 3 (million)
% 0.20/0.51 % (31294)------------------------------
% 0.20/0.51 % (31294)------------------------------
% 0.20/0.52 % (31295)lrs+10_8:1_au=on:avsq=on:e2e=on:ins=3:s2a=on:s2at=3.0:ss=axioms:i=20:si=on:rtra=on_0 on theBenchmark for (2998ds/20Mi)
% 1.38/0.53 % (31292)Instruction limit reached!
% 1.38/0.53 % (31292)------------------------------
% 1.38/0.53 % (31292)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.38/0.53 % (31292)Termination reason: Unknown
% 1.38/0.53 % (31292)Termination phase: Property scanning
% 1.38/0.53
% 1.38/0.53 % (31292)Memory used [KB]: 1918
% 1.38/0.53 % (31292)Time elapsed: 0.029 s
% 1.38/0.53 % (31292)Instructions burned: 130 (million)
% 1.38/0.53 % (31292)------------------------------
% 1.38/0.53 % (31292)------------------------------
% 1.38/0.53 % (31295)Instruction limit reached!
% 1.38/0.53 % (31295)------------------------------
% 1.38/0.53 % (31295)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.38/0.53 % (31295)Termination reason: Unknown
% 1.38/0.53 % (31295)Termination phase: shuffling
% 1.38/0.53
% 1.38/0.53 % (31295)Memory used [KB]: 1535
% 1.38/0.53 % (31295)Time elapsed: 0.007 s
% 1.38/0.53 % (31295)Instructions burned: 20 (million)
% 1.38/0.53 % (31295)------------------------------
% 1.38/0.53 % (31295)------------------------------
% 1.38/0.53 % (31296)dis+1002_1:1_cbe=off:hud=5:nm=4:plsq=on:plsqr=7,1:prag=on:sp=const_max:tnu=1:i=86:si=on:rtra=on_0 on theBenchmark for (2998ds/86Mi)
% 1.38/0.53 % (31297)lrs+1010_1:1_au=on:cbe=off:nm=2:ntd=on:sd=2:ss=axioms:st=5.0:i=107:si=on:rtra=on_0 on theBenchmark for (2998ds/107Mi)
% 1.52/0.54 % (31293)Instruction limit reached!
% 1.52/0.54 % (31293)------------------------------
% 1.52/0.54 % (31293)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.52/0.54 % (31293)Termination reason: Unknown
% 1.52/0.54 % (31293)Termination phase: Property scanning
% 1.52/0.54
% 1.52/0.54 % (31293)Memory used [KB]: 1791
% 1.52/0.54 % (31293)Time elapsed: 0.037 s
% 1.52/0.54 % (31293)Instructions burned: 100 (million)
% 1.52/0.54 % (31293)------------------------------
% 1.52/0.54 % (31293)------------------------------
% 1.52/0.55 % (31296)Instruction limit reached!
% 1.52/0.55 % (31296)------------------------------
% 1.52/0.55 % (31296)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.52/0.55 % (31296)Termination reason: Unknown
% 1.52/0.55 % (31296)Termination phase: Property scanning
% 1.52/0.55
% 1.52/0.55 % (31296)Memory used [KB]: 1791
% 1.52/0.55 % (31296)Time elapsed: 0.019 s
% 1.52/0.55 % (31296)Instructions burned: 88 (million)
% 1.52/0.55 % (31296)------------------------------
% 1.52/0.55 % (31296)------------------------------
% 1.52/0.56 % (31285)Instruction limit reached!
% 1.52/0.56 % (31285)------------------------------
% 1.52/0.56 % (31285)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.52/0.56 % (31285)Termination reason: Unknown
% 1.52/0.56 % (31285)Termination phase: Saturation
% 1.52/0.56
% 1.52/0.56 % (31285)Memory used [KB]: 6524
% 1.52/0.56 % (31285)Time elapsed: 0.096 s
% 1.52/0.56 % (31285)Instructions burned: 378 (million)
% 1.52/0.56 % (31285)------------------------------
% 1.52/0.56 % (31285)------------------------------
% 1.52/0.56 % (31299)dis+10_1:1_cnfonf=lazy_not_gen:fsr=off:kws=precedence:nwc=5.0:s2a=on:ss=axioms:st=1.5:i=448:si=on:rtra=on_0 on theBenchmark for (2998ds/448Mi)
% 1.52/0.56 % (31298)lrs+2_1:1024_cnfonf=lazy_gen:fe=off:hud=15:plsq=on:plsqc=1:plsqr=32,1:i=39:si=on:rtra=on_0 on theBenchmark for (2998ds/39Mi)
% 1.52/0.56 % (31297)Instruction limit reached!
% 1.52/0.56 % (31297)------------------------------
% 1.52/0.56 % (31297)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.52/0.56 % (31297)Termination reason: Unknown
% 1.52/0.56 % (31297)Termination phase: Property scanning
% 1.52/0.56
% 1.52/0.56 % (31297)Memory used [KB]: 1791
% 1.52/0.56 % (31297)Time elapsed: 0.027 s
% 1.52/0.56 % (31297)Instructions burned: 110 (million)
% 1.52/0.56 % (31297)------------------------------
% 1.52/0.56 % (31297)------------------------------
% 1.52/0.57 % (31300)lrs+10_1:512_au=on:fde=unused:lma=on:nm=32:plsq=on:plsqc=1:plsqr=16121663,131072:sfv=off:sp=const_max:ss=axioms:st=3.0:tgt=full:i=46:si=on:rtra=on_0 on theBenchmark for (2997ds/46Mi)
% 1.52/0.57 % (31301)lrs+10_1:10_au=on:av=off:cbe=off:cnfonf=lazy_pi_sigma_gen:ntd=on:plsq=on:plsqc=1:plsqr=32,1:i=98:si=on:rtra=on_0 on theBenchmark for (2997ds/98Mi)
% 1.52/0.58 % (31298)Instruction limit reached!
% 1.52/0.58 % (31298)------------------------------
% 1.52/0.58 % (31298)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.52/0.58 % (31298)Termination reason: Unknown
% 1.52/0.58 % (31298)Termination phase: Property scanning
% 1.52/0.58
% 1.52/0.58 % (31298)Memory used [KB]: 1535
% 1.52/0.58 % (31298)Time elapsed: 0.019 s
% 1.52/0.58 % (31298)Instructions burned: 41 (million)
% 1.52/0.58 % (31298)------------------------------
% 1.52/0.58 % (31298)------------------------------
% 1.52/0.58 % (31300)Instruction limit reached!
% 1.52/0.58 % (31300)------------------------------
% 1.52/0.58 % (31300)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.52/0.58 % (31300)Termination reason: Unknown
% 1.52/0.58 % (31300)Termination phase: Property scanning
% 1.52/0.58
% 1.52/0.58 % (31300)Memory used [KB]: 1663
% 1.52/0.58 % (31300)Time elapsed: 0.014 s
% 1.52/0.58 % (31300)Instructions burned: 46 (million)
% 1.52/0.58 % (31300)------------------------------
% 1.52/0.58 % (31300)------------------------------
% 1.52/0.59 % (31303)dis+1010_2:3_amm=off:fd=preordered:ixr=off:nm=0:pe=on:piset=equals:prag=on:sac=on:tgt=ground:i=149:si=on:rtra=on_0 on theBenchmark for (2997ds/149Mi)
% 1.52/0.59 % (31301)Instruction limit reached!
% 1.52/0.59 % (31301)------------------------------
% 1.52/0.59 % (31301)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.52/0.59 % (31301)Termination reason: Unknown
% 1.52/0.59 % (31301)Termination phase: Property scanning
% 1.52/0.59
% 1.52/0.59 % (31301)Memory used [KB]: 1791
% 1.52/0.59 % (31301)Time elapsed: 0.023 s
% 1.52/0.59 % (31301)Instructions burned: 99 (million)
% 1.52/0.59 % (31301)------------------------------
% 1.52/0.59 % (31301)------------------------------
% 1.52/0.59 % (31302)ott+1002_1:1_apa=on:au=on:bd=off:cnfonf=off:fd=off:sos=on:sp=weighted_frequency:i=507:si=on:rtra=on_0 on theBenchmark for (2997ds/507Mi)
% 1.52/0.60 % (31304)lrs+21_1:16_au=on:bd=off:piset=and:i=39:si=on:rtra=on_0 on theBenchmark for (2997ds/39Mi)
% 1.52/0.61 % (31304)Instruction limit reached!
% 1.52/0.61 % (31304)------------------------------
% 1.52/0.61 % (31304)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.52/0.61 % (31304)Termination reason: Unknown
% 1.52/0.61 % (31304)Termination phase: Function definition elimination
% 1.52/0.61
% 1.52/0.61 % (31304)Memory used [KB]: 1663
% 1.52/0.61 % (31304)Time elapsed: 0.013 s
% 1.52/0.61 % (31304)Instructions burned: 42 (million)
% 1.52/0.61 % (31304)------------------------------
% 1.52/0.61 % (31304)------------------------------
% 1.52/0.62 % (31279)Instruction limit reached!
% 1.52/0.62 % (31279)------------------------------
% 1.52/0.62 % (31279)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.52/0.62 % (31279)Termination reason: Unknown
% 1.52/0.62 % (31279)Termination phase: Saturation
% 1.52/0.62
% 1.52/0.62 % (31279)Memory used [KB]: 6396
% 1.52/0.62 % (31279)Time elapsed: 0.189 s
% 1.52/0.62 % (31279)Instructions burned: 713 (million)
% 1.52/0.62 % (31279)------------------------------
% 1.52/0.62 % (31279)------------------------------
% 1.52/0.62 % (31305)lrs+1004_1:1_cnfonf=lazy_pi_sigma_gen:fe=off:gs=on:hud=10:prag=on:tnu=1:i=6:si=on:rtra=on_0 on theBenchmark for (2997ds/6Mi)
% 1.52/0.62 % (31305)Instruction limit reached!
% 1.52/0.62 % (31305)------------------------------
% 1.52/0.62 % (31305)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.52/0.62 % (31305)Termination reason: Unknown
% 1.52/0.62 % (31305)Termination phase: shuffling
% 1.52/0.62
% 1.52/0.62 % (31305)Memory used [KB]: 1279
% 1.52/0.62 % (31305)Time elapsed: 0.003 s
% 1.52/0.62 % (31305)Instructions burned: 7 (million)
% 1.52/0.62 % (31305)------------------------------
% 1.52/0.62 % (31305)------------------------------
% 1.52/0.62 % (31306)dis+1002_1:1_aac=none:au=on:e2e=on:nm=2:nwc=10.0:sd=1:ss=axioms:st=3.0:i=1087:si=on:rtra=on_0 on theBenchmark for (2997ds/1087Mi)
% 2.06/0.63 % (31303)Instruction limit reached!
% 2.06/0.63 % (31303)------------------------------
% 2.06/0.63 % (31303)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.06/0.63 % (31303)Termination reason: Unknown
% 2.06/0.63 % (31303)Termination phase: Twee Goal Transformation
% 2.06/0.63
% 2.06/0.63 % (31303)Memory used [KB]: 2046
% 2.06/0.63 % (31303)Time elapsed: 0.040 s
% 2.06/0.63 % (31303)Instructions burned: 149 (million)
% 2.06/0.63 % (31303)------------------------------
% 2.06/0.63 % (31303)------------------------------
% 2.06/0.63 % (31307)dis+10_1:1_aac=none:cs=on:i=47:si=on:rtra=on_0 on theBenchmark for (2997ds/47Mi)
% 2.06/0.64 % (31308)lrs+1010_1:128_av=off:cbe=off:cnfonf=lazy_simp:fsr=off:ntd=on:ss=axioms:st=1.5:i=44:si=on:rtra=on_0 on theBenchmark for (2997ds/44Mi)
% 2.06/0.64 % (31307)Instruction limit reached!
% 2.06/0.64 % (31307)------------------------------
% 2.06/0.64 % (31307)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.06/0.64 % (31307)Termination reason: Unknown
% 2.06/0.64 % (31307)Termination phase: Function definition elimination
% 2.06/0.64
% 2.06/0.64 % (31307)Memory used [KB]: 1663
% 2.06/0.64 % (31307)Time elapsed: 0.014 s
% 2.06/0.64 % (31307)Instructions burned: 49 (million)
% 2.06/0.64 % (31307)------------------------------
% 2.06/0.64 % (31307)------------------------------
% 2.06/0.65 % (31308)Instruction limit reached!
% 2.06/0.65 % (31308)------------------------------
% 2.06/0.65 % (31308)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.06/0.65 % (31308)Termination reason: Unknown
% 2.06/0.65 % (31308)Termination phase: Property scanning
% 2.06/0.65
% 2.06/0.65 % (31308)Memory used [KB]: 1663
% 2.06/0.65 % (31308)Time elapsed: 0.013 s
% 2.06/0.65 % (31308)Instructions burned: 44 (million)
% 2.06/0.65 % (31308)------------------------------
% 2.06/0.65 % (31308)------------------------------
% 2.06/0.65 % (31309)dis+10_1:1_av=off:bd=off:cnfonf=lazy_gen:fe=off:hud=10:plsq=on:plsqc=1:plsqr=32,1:prag=on:tnu=1:i=432:si=on:rtra=on_0 on theBenchmark for (2997ds/432Mi)
% 2.06/0.66 % (31310)lrs+10_7:1_cnfonf=lazy_gen:fe=off:nwc=5.0:plsq=on:i=62:si=on:rtra=on_0 on theBenchmark for (2997ds/62Mi)
% 2.06/0.66 % (31286)Instruction limit reached!
% 2.06/0.66 % (31286)------------------------------
% 2.06/0.66 % (31286)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.06/0.66 % (31286)Termination reason: Unknown
% 2.06/0.66 % (31286)Termination phase: Saturation
% 2.06/0.66
% 2.06/0.66 % (31286)Memory used [KB]: 6524
% 2.06/0.66 % (31286)Time elapsed: 0.186 s
% 2.06/0.66 % (31286)Instructions burned: 781 (million)
% 2.06/0.66 % (31286)------------------------------
% 2.06/0.66 % (31286)------------------------------
% 2.06/0.66 % (31299)Instruction limit reached!
% 2.06/0.66 % (31299)------------------------------
% 2.06/0.66 % (31299)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.06/0.66 % (31299)Termination reason: Unknown
% 2.06/0.66 % (31299)Termination phase: Saturation
% 2.06/0.66
% 2.06/0.66 % (31299)Memory used [KB]: 6396
% 2.06/0.66 % (31299)Time elapsed: 0.105 s
% 2.06/0.66 % (31299)Instructions burned: 450 (million)
% 2.06/0.66 % (31299)------------------------------
% 2.06/0.66 % (31299)------------------------------
% 2.06/0.67 % (31312)dis+10_1:128_hud=1:i=96:si=on:rtra=on_0 on theBenchmark for (2997ds/96Mi)
% 2.06/0.67 % (31311)lrs+1010_1:16_add=large:amm=off:anc=all_dependent:chr=on:fd=off:ins=2:sp=const_max:tnu=5:uhcvi=on:i=31:si=on:rtra=on_0 on theBenchmark for (2997ds/31Mi)
% 2.06/0.67 % (31310)Instruction limit reached!
% 2.06/0.67 % (31310)------------------------------
% 2.06/0.67 % (31310)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.06/0.67 % (31310)Termination reason: Unknown
% 2.06/0.67 % (31310)Termination phase: Function definition elimination
% 2.06/0.67
% 2.06/0.67 % (31310)Memory used [KB]: 1791
% 2.06/0.67 % (31310)Time elapsed: 0.016 s
% 2.06/0.67 % (31310)Instructions burned: 62 (million)
% 2.06/0.67 % (31310)------------------------------
% 2.06/0.67 % (31310)------------------------------
% 2.06/0.68 % (31313)lrs+1002_1:4_au=on:cbe=off:cnfonf=lazy_pi_sigma_gen:hud=15:inj=on:nwc=4.0:s2a=on:sac=on:sp=reverse_arity:i=453:si=on:rtra=on_0 on theBenchmark for (2996ds/453Mi)
% 2.06/0.68 % (31311)Instruction limit reached!
% 2.06/0.68 % (31311)------------------------------
% 2.06/0.68 % (31311)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.06/0.68 % (31311)Termination reason: Unknown
% 2.06/0.68 % (31311)Termination phase: Preprocessing 3
% 2.06/0.68
% 2.06/0.68 % (31311)Memory used [KB]: 1535
% 2.06/0.68 % (31311)Time elapsed: 0.010 s
% 2.06/0.68 % (31311)Instructions burned: 31 (million)
% 2.06/0.68 % (31311)------------------------------
% 2.06/0.68 % (31311)------------------------------
% 2.46/0.69 % (31314)lrs-1004_1:1_au=on:bsd=on:cbe=off:cnfonf=off:fe=axiom:fsd=on:i=71:si=on:rtra=on_0 on theBenchmark for (2996ds/71Mi)
% 2.46/0.69 % (31312)Instruction limit reached!
% 2.46/0.69 % (31312)------------------------------
% 2.46/0.69 % (31312)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.46/0.69 % (31312)Termination reason: Unknown
% 2.46/0.69 % (31312)Termination phase: Property scanning
% 2.46/0.69
% 2.46/0.69 % (31312)Memory used [KB]: 1918
% 2.46/0.69 % (31312)Time elapsed: 0.021 s
% 2.46/0.69 % (31312)Instructions burned: 97 (million)
% 2.46/0.69 % (31312)------------------------------
% 2.46/0.69 % (31312)------------------------------
% 2.46/0.70 % (31315)dis+1002_1:1_bd=off:fsr=off:ntd=on:s2a=on:ss=axioms:i=83:si=on:rtra=on_0 on theBenchmark for (2996ds/83Mi)
% 2.46/0.71 % (31314)Instruction limit reached!
% 2.46/0.71 % (31314)------------------------------
% 2.46/0.71 % (31314)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.46/0.71 % (31314)Termination reason: Unknown
% 2.46/0.71 % (31314)Termination phase: Function definition elimination
% 2.46/0.71
% 2.46/0.71 % (31314)Memory used [KB]: 1791
% 2.46/0.71 % (31314)Time elapsed: 0.019 s
% 2.46/0.71 % (31314)Instructions burned: 76 (million)
% 2.46/0.71 % (31314)------------------------------
% 2.46/0.71 % (31314)------------------------------
% 2.46/0.71 % (31316)lrs+10_1:128_cnfonf=lazy_not_gen_be_off:hud=1:ins=1:i=11:si=on:rtra=on_0 on theBenchmark for (2996ds/11Mi)
% 2.46/0.72 % (31315)Instruction limit reached!
% 2.46/0.72 % (31315)------------------------------
% 2.46/0.72 % (31315)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.46/0.72 % (31315)Termination reason: Unknown
% 2.46/0.72 % (31315)Termination phase: Saturation
% 2.46/0.72
% 2.46/0.72 % (31315)Memory used [KB]: 6268
% 2.46/0.72 % (31315)Time elapsed: 0.022 s
% 2.46/0.72 % (31315)Instructions burned: 85 (million)
% 2.46/0.72 % (31315)------------------------------
% 2.46/0.72 % (31315)------------------------------
% 2.46/0.72 % (31316)Instruction limit reached!
% 2.46/0.72 % (31316)------------------------------
% 2.46/0.72 % (31316)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.46/0.72 % (31316)Termination reason: Unknown
% 2.46/0.72 % (31316)Termination phase: shuffling
% 2.46/0.72
% 2.46/0.72 % (31316)Memory used [KB]: 1535
% 2.46/0.72 % (31316)Time elapsed: 0.005 s
% 2.46/0.72 % (31316)Instructions burned: 14 (million)
% 2.46/0.72 % (31316)------------------------------
% 2.46/0.72 % (31316)------------------------------
% 2.46/0.73 % (31317)lrs+1010_1:1_au=on:cbe=off:cnfonf=lazy_not_gen_be_off:fsr=off:spb=non_intro:i=41:si=on:rtra=on_0 on theBenchmark for (2996ds/41Mi)
% 2.46/0.73 % (31318)lrs+1004_1:1_chr=on:prag=on:i=6:si=on:rtra=on_0 on theBenchmark for (2996ds/6Mi)
% 2.46/0.73 % (31318)Instruction limit reached!
% 2.46/0.73 % (31318)------------------------------
% 2.46/0.73 % (31318)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.46/0.73 % (31318)Termination reason: Unknown
% 2.46/0.73 % (31318)Termination phase: shuffling
% 2.46/0.73
% 2.46/0.73 % (31318)Memory used [KB]: 1279
% 2.46/0.73 % (31318)Time elapsed: 0.003 s
% 2.46/0.73 % (31318)Instructions burned: 7 (million)
% 2.46/0.73 % (31318)------------------------------
% 2.46/0.73 % (31318)------------------------------
% 2.46/0.74 % (31317)Instruction limit reached!
% 2.46/0.74 % (31317)------------------------------
% 2.46/0.74 % (31317)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.46/0.74 % (31317)Termination reason: Unknown
% 2.46/0.74 % (31317)Termination phase: Function definition elimination
% 2.46/0.74
% 2.46/0.74 % (31317)Memory used [KB]: 1663
% 2.46/0.74 % (31317)Time elapsed: 0.012 s
% 2.46/0.74 % (31317)Instructions burned: 43 (million)
% 2.46/0.74 % (31317)------------------------------
% 2.46/0.74 % (31317)------------------------------
% 2.46/0.74 % (31319)dis+10_1:1_avsq=on:cnfonf=off:e2e=on:nm=32:i=150:si=on:rtra=on_0 on theBenchmark for (2996ds/150Mi)
% 2.46/0.74 % (31320)ott+1010_1:1_au=on:s2a=on:sd=7:ss=axioms:st=1.5:i=343:si=on:rtra=on_0 on theBenchmark for (2996ds/343Mi)
% 2.46/0.75 % (31309)Instruction limit reached!
% 2.46/0.75 % (31309)------------------------------
% 2.46/0.75 % (31309)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.46/0.75 % (31309)Termination reason: Unknown
% 2.46/0.75 % (31309)Termination phase: Saturation
% 2.46/0.75
% 2.46/0.75 % (31309)Memory used [KB]: 2046
% 2.46/0.75 % (31309)Time elapsed: 0.096 s
% 2.46/0.75 % (31309)Instructions burned: 435 (million)
% 2.46/0.75 % (31309)------------------------------
% 2.46/0.75 % (31309)------------------------------
% 2.46/0.75 % (31270)Instruction limit reached!
% 2.46/0.75 % (31270)------------------------------
% 2.46/0.75 % (31270)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.46/0.75 % (31270)Termination reason: Unknown
% 2.46/0.75 % (31270)Termination phase: Saturation
% 2.46/0.75
% 2.46/0.75 % (31270)Memory used [KB]: 6908
% 2.46/0.75 % (31270)Time elapsed: 0.360 s
% 2.46/0.75 % (31270)Instructions burned: 1043 (million)
% 2.46/0.75 % (31270)------------------------------
% 2.46/0.75 % (31270)------------------------------
% 2.82/0.76 % (31321)ott+1010_1:4_cbe=off:chr=on:hfsq=on:hfsqr=1,16:hud=3:sac=on:sp=unary_frequency:ss=axioms:st=5.0:tnu=2:i=109:si=on:rtra=on_0 on theBenchmark for (2996ds/109Mi)
% 2.82/0.76 % (31322)dis+10_1:1_au=on:c=on:e2e=on:fsr=off:sos=all:sp=const_frequency:ss=axioms:i=253:si=on:rtra=on_0 on theBenchmark for (2996ds/253Mi)
% 2.83/0.77 % (31302)Instruction limit reached!
% 2.83/0.77 % (31302)------------------------------
% 2.83/0.77 % (31302)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.83/0.77 % (31302)Termination reason: Unknown
% 2.83/0.77 % (31302)Termination phase: Saturation
% 2.83/0.77
% 2.83/0.77 % (31302)Memory used [KB]: 6780
% 2.83/0.77 % (31302)Time elapsed: 0.176 s
% 2.83/0.77 % (31302)Instructions burned: 509 (million)
% 2.83/0.77 % (31302)------------------------------
% 2.83/0.77 % (31302)------------------------------
% 2.83/0.77 % (31319)Instruction limit reached!
% 2.83/0.77 % (31319)------------------------------
% 2.83/0.77 % (31319)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.83/0.77 % (31319)Termination reason: Unknown
% 2.83/0.77 % (31319)Termination phase: Property scanning
% 2.83/0.77
% 2.83/0.77 % (31319)Memory used [KB]: 1918
% 2.83/0.77 % (31319)Time elapsed: 0.037 s
% 2.83/0.77 % (31319)Instructions burned: 153 (million)
% 2.83/0.77 % (31319)------------------------------
% 2.83/0.77 % (31319)------------------------------
% 2.83/0.77 % (31288)Instruction limit reached!
% 2.83/0.77 % (31288)------------------------------
% 2.83/0.77 % (31288)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.83/0.77 % (31288)Termination reason: Unknown
% 2.83/0.77 % (31288)Termination phase: Saturation
% 2.83/0.77
% 2.83/0.77 % (31288)Memory used [KB]: 6396
% 2.83/0.77 % (31288)Time elapsed: 0.306 s
% 2.83/0.77 % (31288)Instructions burned: 880 (million)
% 2.83/0.77 % (31288)------------------------------
% 2.83/0.77 % (31288)------------------------------
% 2.83/0.78 % (31313)Instruction limit reached!
% 2.83/0.78 % (31313)------------------------------
% 2.83/0.78 % (31313)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.83/0.78 % (31313)Termination reason: Unknown
% 2.83/0.78 % (31313)Termination phase: Saturation
% 2.83/0.78
% 2.83/0.78 % (31313)Memory used [KB]: 6524
% 2.83/0.78 % (31313)Time elapsed: 0.101 s
% 2.83/0.78 % (31313)Instructions burned: 453 (million)
% 2.83/0.78 % (31313)------------------------------
% 2.83/0.78 % (31313)------------------------------
% 2.83/0.78 % (31321)Instruction limit reached!
% 2.83/0.78 % (31321)------------------------------
% 2.83/0.78 % (31321)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.83/0.78 % (31321)Termination reason: Unknown
% 2.83/0.78 % (31321)Termination phase: Property scanning
% 2.83/0.78
% 2.83/0.78 % (31321)Memory used [KB]: 1918
% 2.83/0.78 % (31321)Time elapsed: 0.026 s
% 2.83/0.78 % (31321)Instructions burned: 109 (million)
% 2.83/0.78 % (31321)------------------------------
% 2.83/0.78 % (31321)------------------------------
% 2.83/0.79 % (31323)lrs+10_1:1_au=on:cnfonf=off:sd=1:sgt=16:ss=axioms:i=140:si=on:rtra=on_0 on theBenchmark for (2995ds/140Mi)
% 2.83/0.79 % (31324)dis+1010_16:1_acc=model:au=on:avsq=on:cond=fast:plsq=on:plsqc=2:plsqr=9267,262144:i=614:si=on:rtra=on_0 on theBenchmark for (2995ds/614Mi)
% 2.83/0.79 % (31326)dis+1002_1:1_au=on:cs=on:ins=3:kws=inv_frequency:nwc=10.0:ss=axioms:st=3.0:i=339:si=on:rtra=on_0 on theBenchmark for (2995ds/339Mi)
% 2.83/0.79 % (31327)dis+10_1:1_anc=none:cnfonf=lazy_gen:fd=preordered:fe=off:hud=10:ins=3:ixr=off:nwc=5.0:plsq=on:plsqc=1:plsqr=32,1:sp=const_frequency:uhcvi=on:i=283:si=on:rtra=on_0 on theBenchmark for (2995ds/283Mi)
% 2.83/0.79 % (31325)lrs+1002_1:1_e2e=on:fde=unused:fe=axiom:prag=on:sd=1:sos=on:ss=axioms:st=2.0:i=202:si=on:rtra=on_0 on theBenchmark for (2995ds/202Mi)
% 3.25/0.81 % (31325)Refutation not found, incomplete strategy
% 3.25/0.81 % (31325)------------------------------
% 3.25/0.81 % (31325)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 3.25/0.81 % (31325)Termination reason: Refutation not found, incomplete strategy
% 3.25/0.81
% 3.25/0.81
% 3.25/0.81 % (31325)Memory used [KB]: 6140
% 3.25/0.81 % (31325)Time elapsed: 0.023 s
% 3.25/0.81 % (31325)Instructions burned: 48 (million)
% 3.25/0.81 % (31325)------------------------------
% 3.25/0.81 % (31325)------------------------------
% 3.25/0.83 % (31328)dis+2_1:1_cha=on:hud=7:nwc=3.0:prag=on:tnu=2:i=134:si=on:rtra=on_0 on theBenchmark for (2995ds/134Mi)
% 3.25/0.83 % (31322)Instruction limit reached!
% 3.25/0.83 % (31322)------------------------------
% 3.25/0.83 % (31322)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 3.25/0.83 % (31322)Termination reason: Unknown
% 3.25/0.83 % (31322)Termination phase: Saturation
% 3.25/0.83
% 3.25/0.83 % (31322)Memory used [KB]: 6396
% 3.25/0.83 % (31322)Time elapsed: 0.068 s
% 3.25/0.83 % (31322)Instructions burned: 253 (million)
% 3.25/0.83 % (31322)------------------------------
% 3.25/0.83 % (31322)------------------------------
% 3.25/0.84 % (31329)dis+1010_1:64_cnfonf=lazy_simp:fd=off:i=298:si=on:rtra=on_0 on theBenchmark for (2995ds/298Mi)
% 3.25/0.84 % (31323)Refutation not found, incomplete strategy
% 3.25/0.84 % (31323)------------------------------
% 3.25/0.84 % (31323)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 3.25/0.84 % (31323)Termination reason: Refutation not found, incomplete strategy
% 3.25/0.84
% 3.25/0.84
% 3.25/0.84 % (31323)Memory used [KB]: 6524
% 3.25/0.84 % (31323)Time elapsed: 0.055 s
% 3.25/0.84 % (31323)Instructions burned: 122 (million)
% 3.25/0.84 % (31323)------------------------------
% 3.25/0.84 % (31323)------------------------------
% 3.43/0.85 % (31327)Instruction limit reached!
% 3.43/0.85 % (31327)------------------------------
% 3.43/0.85 % (31327)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 3.43/0.85 % (31327)Termination reason: Unknown
% 3.43/0.85 % (31327)Termination phase: Saturation
% 3.43/0.85
% 3.43/0.85 % (31327)Memory used [KB]: 6396
% 3.43/0.85 % (31327)Time elapsed: 0.061 s
% 3.43/0.85 % (31327)Instructions burned: 284 (million)
% 3.43/0.85 % (31327)------------------------------
% 3.43/0.85 % (31327)------------------------------
% 3.43/0.85 % (31330)lrs+2_1:8_erd=off:plsq=on:plsqr=32,1:sos=on:i=192:si=on:rtra=on_0 on theBenchmark for (2995ds/192Mi)
% 3.43/0.86 % (31331)lrs+10_1:1_bd=off:hud=1:nm=0:prag=on:sd=2:sgt=32:sos=all:ss=axioms:i=258:si=on:rtra=on_0 on theBenchmark for (2995ds/258Mi)
% 3.43/0.86 % (31320)Instruction limit reached!
% 3.43/0.86 % (31320)------------------------------
% 3.43/0.86 % (31320)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 3.43/0.86 % (31320)Termination reason: Unknown
% 3.43/0.86 % (31320)Termination phase: Saturation
% 3.43/0.86
% 3.43/0.86 % (31320)Memory used [KB]: 6396
% 3.43/0.86 % (31320)Time elapsed: 0.120 s
% 3.43/0.86 % (31320)Instructions burned: 345 (million)
% 3.43/0.86 % (31320)------------------------------
% 3.43/0.86 % (31320)------------------------------
% 3.43/0.88 % (31326)Instruction limit reached!
% 3.43/0.88 % (31326)------------------------------
% 3.43/0.88 % (31326)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 3.43/0.88 % (31326)Termination reason: Unknown
% 3.43/0.88 % (31326)Termination phase: Saturation
% 3.43/0.88
% 3.43/0.88 % (31326)Memory used [KB]: 7036
% 3.43/0.88 % (31326)Time elapsed: 0.090 s
% 3.43/0.88 % (31326)Instructions burned: 339 (million)
% 3.43/0.88 % (31326)------------------------------
% 3.43/0.88 % (31326)------------------------------
% 3.43/0.88 % (31328)Instruction limit reached!
% 3.43/0.88 % (31328)------------------------------
% 3.43/0.88 % (31328)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 3.43/0.88 % (31328)Termination reason: Unknown
% 3.43/0.88 % (31328)Termination phase: Property scanning
% 3.43/0.88
% 3.43/0.88 % (31328)Memory used [KB]: 1918
% 3.43/0.88 % (31328)Time elapsed: 0.052 s
% 3.43/0.88 % (31328)Instructions burned: 134 (million)
% 3.43/0.88 % (31328)------------------------------
% 3.43/0.88 % (31328)------------------------------
% 3.43/0.88 % (31332)lrs+1002_1:1024_au=on:cond=fast:ntd=on:piset=and:plsq=on:plsqc=1:plsqr=183491,1048576:sac=on:tgt=ground:i=90:si=on:rtra=on_0 on theBenchmark for (2994ds/90Mi)
% 3.43/0.88 % (31333)dis+1004_16:1_avsq=on:avsqr=1,16:cnfonf=lazy_gen:cs=on:fe=off:tgt=ground:tnu=1:i=231:si=on:rtra=on_0 on theBenchmark for (2994ds/231Mi)
% 3.43/0.89 % (31306)Instruction limit reached!
% 3.43/0.89 % (31306)------------------------------
% 3.43/0.89 % (31306)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 3.43/0.89 % (31306)Termination reason: Unknown
% 3.43/0.89 % (31306)Termination phase: Saturation
% 3.43/0.89
% 3.43/0.89 % (31306)Memory used [KB]: 6652
% 3.43/0.89 % (31306)Time elapsed: 0.266 s
% 3.43/0.89 % (31306)Instructions burned: 1089 (million)
% 3.43/0.89 % (31306)------------------------------
% 3.43/0.89 % (31306)------------------------------
% 3.43/0.89 % (31334)lrs+1002_1:1_au=on:s2a=on:sgt=32:slsq=on:slsqc=1:slsql=off:ss=axioms:i=458:si=on:rtra=on_0 on theBenchmark for (2994ds/458Mi)
% 3.43/0.90 % (31332)Instruction limit reached!
% 3.43/0.90 % (31332)------------------------------
% 3.43/0.90 % (31332)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 3.43/0.90 % (31332)Termination reason: Unknown
% 3.43/0.90 % (31332)Termination phase: Twee Goal Transformation
% 3.43/0.90
% 3.43/0.90 % (31332)Memory used [KB]: 1918
% 3.43/0.90 % (31332)Time elapsed: 0.020 s
% 3.43/0.90 % (31332)Instructions burned: 90 (million)
% 3.43/0.90 % (31332)------------------------------
% 3.43/0.90 % (31332)------------------------------
% 3.43/0.90 % (31335)lrs+1010_1:16_add=large:amm=off:anc=all_dependent:chr=on:fd=off:ins=2:sp=const_max:tnu=5:uhcvi=on:i=31:si=on:rtra=on_0 on theBenchmark for (2994ds/31Mi)
% 3.43/0.90 % (31329)Instruction limit reached!
% 3.43/0.90 % (31329)------------------------------
% 3.43/0.90 % (31329)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 3.43/0.90 % (31329)Termination reason: Unknown
% 3.43/0.90 % (31329)Termination phase: Saturation
% 3.43/0.90
% 3.43/0.90 % (31329)Memory used [KB]: 6396
% 3.43/0.90 % (31329)Time elapsed: 0.063 s
% 3.43/0.90 % (31329)Instructions burned: 299 (million)
% 3.43/0.90 % (31329)------------------------------
% 3.43/0.90 % (31329)------------------------------
% 3.43/0.90 % (31336)lrs+10_1:1_cnfonf=lazy_gen:kws=inv_precedence:nwc=10.0:s2a=on:sp=weighted_frequency:ss=axioms:i=297:si=on:rtra=on_0 on theBenchmark for (2994ds/297Mi)
% 3.43/0.91 % (31335)Instruction limit reached!
% 3.43/0.91 % (31335)------------------------------
% 3.43/0.91 % (31335)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 3.43/0.91 % (31335)Termination reason: Unknown
% 3.43/0.91 % (31335)Termination phase: Property scanning
% 3.43/0.91
% 3.43/0.91 % (31335)Memory used [KB]: 1663
% 3.43/0.91 % (31335)Time elapsed: 0.010 s
% 3.43/0.91 % (31335)Instructions burned: 32 (million)
% 3.43/0.91 % (31335)------------------------------
% 3.43/0.91 % (31335)------------------------------
% 3.43/0.91 % (31337)dis+2_1:4_amm=off:au=on:cbe=off:cnfonf=lazy_gen:hfaw=0:hfsq=on:hfsql=off:plsq=on:plsqc=1:plsqr=35,4:sac=on:i=987:si=on:rtra=on_0 on theBenchmark for (2994ds/987Mi)
% 3.43/0.91 % (31331)Instruction limit reached!
% 3.43/0.91 % (31331)------------------------------
% 3.43/0.91 % (31331)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 3.43/0.91 % (31331)Termination reason: Unknown
% 3.43/0.91 % (31331)Termination phase: Saturation
% 3.43/0.91
% 3.43/0.91 % (31331)Memory used [KB]: 6524
% 3.43/0.91 % (31331)Time elapsed: 0.057 s
% 3.43/0.91 % (31331)Instructions burned: 259 (million)
% 3.43/0.91 % (31331)------------------------------
% 3.43/0.91 % (31331)------------------------------
% 3.43/0.91 % (31338)lrs+10_1:1024_avsq=on:avsqc=4:avsqr=584411,1048576:bd=off:bet=on:br=off:chr=on:fsd=on:fsdmm=1:hud=10:nm=0:ntd=on:nwc=9.0:piset=or:plsq=on:plsqc=2:plsql=on:plsqr=852219,1048576:rawr=on:sp=const_frequency:spb=units:i=182:si=on:rtra=on_0 on theBenchmark for (2994ds/182Mi)
% 3.43/0.92 % (31339)dis+10_1:1_au=on:e2e=on:fde=none:nwc=10.0:s2a=on:s2at=2.0:i=182:si=on:rtra=on_0 on theBenchmark for (2994ds/182Mi)
% 4.23/0.93 % (31330)Instruction limit reached!
% 4.23/0.93 % (31330)------------------------------
% 4.23/0.93 % (31330)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 4.23/0.93 % (31330)Termination reason: Unknown
% 4.23/0.93 % (31330)Termination phase: Property scanning
% 4.23/0.93
% 4.23/0.93 % (31330)Memory used [KB]: 1918
% 4.23/0.93 % (31330)Time elapsed: 0.075 s
% 4.23/0.93 % (31330)Instructions burned: 193 (million)
% 4.23/0.93 % (31330)------------------------------
% 4.23/0.93 % (31330)------------------------------
% 4.23/0.94 % (31340)dis+10_1:8_cha=on:cnfonf=lazy_pi_sigma_gen:fe=axiom:hud=5:plsq=on:plsqr=32,1:prag=on:sos=all:i=154:si=on:rtra=on_0 on theBenchmark for (2994ds/154Mi)
% 4.23/0.95 % (31324)Instruction limit reached!
% 4.23/0.95 % (31324)------------------------------
% 4.23/0.95 % (31324)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 4.23/0.95 % (31324)Termination reason: Unknown
% 4.23/0.95 % (31324)Termination phase: Saturation
% 4.23/0.95
% 4.23/0.95 % (31324)Memory used [KB]: 6780
% 4.23/0.95 % (31324)Time elapsed: 0.162 s
% 4.23/0.95 % (31324)Instructions burned: 617 (million)
% 4.23/0.95 % (31324)------------------------------
% 4.23/0.95 % (31324)------------------------------
% 4.23/0.95 % (31333)Instruction limit reached!
% 4.23/0.95 % (31333)------------------------------
% 4.23/0.95 % (31333)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 4.23/0.95 % (31333)Termination reason: Unknown
% 4.23/0.95 % (31333)Termination phase: Saturation
% 4.23/0.95
% 4.23/0.95 % (31333)Memory used [KB]: 7036
% 4.23/0.95 % (31333)Time elapsed: 0.064 s
% 4.23/0.95 % (31333)Instructions burned: 231 (million)
% 4.23/0.95 % (31333)------------------------------
% 4.23/0.95 % (31333)------------------------------
% 4.23/0.95 % (31338)Instruction limit reached!
% 4.23/0.95 % (31338)------------------------------
% 4.23/0.95 % (31338)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 4.23/0.95 % (31338)Termination reason: Unknown
% 4.23/0.95 % (31338)Termination phase: Property scanning
% 4.23/0.95
% 4.23/0.95 % (31338)Memory used [KB]: 1918
% 4.23/0.95 % (31338)Time elapsed: 0.040 s
% 4.23/0.95 % (31338)Instructions burned: 183 (million)
% 4.23/0.95 % (31338)------------------------------
% 4.23/0.95 % (31338)------------------------------
% 4.23/0.96 % (31342)dis+1010_5:2_anc=all_dependent:awrs=converge:bd=off:bet=on:c=on:cha=on:cnfonf=lazy_not_gen_be_off:fe=axiom:hud=5:kws=precedence:piset=and:prag=on:s2a=on:sac=on:slsq=on:slsqc=1:sp=reverse_arity:ss=axioms:st=1.5:i=216:si=on:rtra=on_0 on theBenchmark for (2994ds/216Mi)
% 4.23/0.96 % (31343)lrs+1002_1:1_fe=off:hud=10:ins=2:sac=on:sp=const_frequency:i=114:si=on:rtra=on_0 on theBenchmark for (2994ds/114Mi)
% 4.23/0.96 % (31341)dis+1003_1:64_atotf=0.4:au=on:fsr=off:hflw=5:hfsq=on:hfsqc=20:hfsql=off:plsq=on:plsqc=1:plsqr=32,1:i=79:si=on:rtra=on_0 on theBenchmark for (2994ds/79Mi)
% 4.23/0.97 % (31339)Instruction limit reached!
% 4.23/0.97 % (31339)------------------------------
% 4.23/0.97 % (31339)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 4.23/0.97 % (31339)Termination reason: Unknown
% 4.23/0.97 % (31339)Termination phase: Saturation
% 4.23/0.97
% 4.23/0.97 % (31339)Memory used [KB]: 6652
% 4.23/0.97 % (31339)Time elapsed: 0.049 s
% 4.23/0.97 % (31339)Instructions burned: 183 (million)
% 4.23/0.97 % (31339)------------------------------
% 4.23/0.97 % (31339)------------------------------
% 4.23/0.98 % (31344)dis+1002_1:1_acc=on:au=on:bd=off:e2e=on:sgt=8:ss=axioms:i=922:si=on:rtra=on_0 on theBenchmark for (2993ds/922Mi)
% 4.23/0.98 % (31342)Refutation not found, incomplete strategy
% 4.23/0.98 % (31342)------------------------------
% 4.23/0.98 % (31342)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 4.23/0.98 % (31342)Termination reason: Refutation not found, incomplete strategy
% 4.23/0.98
% 4.23/0.98
% 4.23/0.98 % (31342)Memory used [KB]: 6268
% 4.23/0.98 % (31342)Time elapsed: 0.021 s
% 4.23/0.98 % (31342)Instructions burned: 82 (million)
% 4.23/0.98 % (31342)------------------------------
% 4.23/0.98 % (31342)------------------------------
% 4.70/0.98 % (31345)lrs+10_1:128_au=on:bd=off:cnfonf=lazy_not_gen_be_off:nwc=10.0:piset=and:i=182:si=on:rtra=on_0 on theBenchmark for (2993ds/182Mi)
% 4.70/0.98 % (31343)Instruction limit reached!
% 4.70/0.98 % (31343)------------------------------
% 4.70/0.98 % (31343)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 4.70/0.98 % (31343)Termination reason: Unknown
% 4.70/0.98 % (31343)Termination phase: Property scanning
% 4.70/0.98
% 4.70/0.99 % (31343)Memory used [KB]: 1791
% 4.70/0.99 % (31343)Time elapsed: 0.026 s
% 4.70/0.99 % (31343)Instructions burned: 117 (million)
% 4.70/0.99 % (31343)------------------------------
% 4.70/0.99 % (31343)------------------------------
% 4.70/0.99 % (31341)Instruction limit reached!
% 4.70/0.99 % (31341)------------------------------
% 4.70/0.99 % (31341)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 4.70/0.99 % (31341)Termination reason: Unknown
% 4.70/0.99 % (31341)Termination phase: Function definition elimination
% 4.70/0.99
% 4.70/0.99 % (31341)Memory used [KB]: 1791
% 4.70/0.99 % (31341)Time elapsed: 0.030 s
% 4.70/0.99 % (31341)Instructions burned: 80 (million)
% 4.70/0.99 % (31341)------------------------------
% 4.70/0.99 % (31341)------------------------------
% 4.70/0.99 % (31336)Instruction limit reached!
% 4.70/0.99 % (31336)------------------------------
% 4.70/0.99 % (31336)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 4.70/0.99 % (31336)Termination reason: Unknown
% 4.70/0.99 % (31336)Termination phase: Saturation
% 4.70/0.99
% 4.70/0.99 % (31336)Memory used [KB]: 6908
% 4.70/0.99 % (31336)Time elapsed: 0.086 s
% 4.70/0.99 % (31336)Instructions burned: 299 (million)
% 4.70/0.99 % (31336)------------------------------
% 4.70/0.99 % (31336)------------------------------
% 4.70/0.99 % (31346)ott+1010_1:1024_au=on:av=off:c=on:cnfonf=conj_eager:piset=equals:s2a=on:sp=occurrence:spb=units:ss=axioms:i=164:si=on:rtra=on_0 on theBenchmark for (2993ds/164Mi)
% 4.70/1.00 % (31348)dis-30_1:1_acc=on:bd=off:fsr=off:plsq=on:plsqr=32,1:i=368:si=on:rtra=on_0 on theBenchmark for (2993ds/368Mi)
% 4.70/1.00 % (31340)Instruction limit reached!
% 4.70/1.00 % (31340)------------------------------
% 4.70/1.00 % (31340)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 4.70/1.00 % (31340)Termination reason: Unknown
% 4.70/1.00 % (31340)Termination phase: Property scanning
% 4.70/1.00
% 4.70/1.00 % (31340)Memory used [KB]: 1791
% 4.70/1.00 % (31340)Time elapsed: 0.060 s
% 4.70/1.00 % (31340)Instructions burned: 156 (million)
% 4.70/1.00 % (31340)------------------------------
% 4.70/1.00 % (31340)------------------------------
% 4.70/1.00 % (31347)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 theBenchmark for (2993ds/50Mi)
% 4.70/1.02 % (31349)dis+2_1:1_bd=off:e2e=on:hud=1:nm=3:piset=or:prag=on:s2a=on:sp=const_max:i=1021:si=on:rtra=on_0 on theBenchmark for (2993ds/1021Mi)
% 4.70/1.02 % (31347)Instruction limit reached!
% 4.70/1.02 % (31347)------------------------------
% 4.70/1.02 % (31347)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 4.70/1.02 % (31347)Termination reason: Unknown
% 4.70/1.02 % (31347)Termination phase: Function definition elimination
% 4.70/1.02
% 4.70/1.02 % (31347)Memory used [KB]: 1663
% 4.70/1.02 % (31347)Time elapsed: 0.016 s
% 4.70/1.02 % (31347)Instructions burned: 54 (million)
% 4.70/1.02 % (31347)------------------------------
% 4.70/1.02 % (31347)------------------------------
% 4.70/1.02 % (31345)Instruction limit reached!
% 4.70/1.02 % (31345)------------------------------
% 4.70/1.02 % (31345)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 4.70/1.02 % (31345)Termination reason: Unknown
% 4.70/1.02 % (31345)Termination phase: Property scanning
% 4.70/1.02
% 4.70/1.02 % (31345)Memory used [KB]: 1791
% 4.70/1.02 % (31345)Time elapsed: 0.040 s
% 4.70/1.02 % (31345)Instructions burned: 182 (million)
% 4.70/1.02 % (31345)------------------------------
% 4.70/1.02 % (31345)------------------------------
% 4.70/1.02 % (31350)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 theBenchmark for (2993ds/267Mi)
% 4.70/1.03 % (31351)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 theBenchmark for (2993ds/204Mi)
% 4.70/1.03 % (31346)Instruction limit reached!
% 4.70/1.03 % (31346)------------------------------
% 4.70/1.03 % (31346)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 4.70/1.03 % (31346)Termination reason: Unknown
% 4.70/1.03 % (31346)Termination phase: Saturation
% 4.70/1.03
% 4.70/1.03 % (31346)Memory used [KB]: 1918
% 4.70/1.03 % (31346)Time elapsed: 0.042 s
% 4.70/1.03 % (31346)Instructions burned: 167 (million)
% 4.70/1.03 % (31346)------------------------------
% 4.70/1.03 % (31346)------------------------------
% 4.70/1.04 % (31352)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 theBenchmark for (2993ds/26Mi)
% 4.70/1.05 % (31352)Instruction limit reached!
% 4.70/1.05 % (31352)------------------------------
% 4.70/1.05 % (31352)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 4.70/1.05 % (31352)Termination reason: Unknown
% 4.70/1.05 % (31352)Termination phase: Property scanning
% 4.70/1.05
% 4.70/1.05 % (31352)Memory used [KB]: 1535
% 4.70/1.05 % (31352)Time elapsed: 0.009 s
% 4.70/1.05 % (31352)Instructions burned: 29 (million)
% 4.70/1.05 % (31352)------------------------------
% 4.70/1.05 % (31352)------------------------------
% 5.07/1.05 % (31334)Instruction limit reached!
% 5.07/1.05 % (31334)------------------------------
% 5.07/1.05 % (31334)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 5.07/1.05 % (31334)Termination reason: Unknown
% 5.07/1.05 % (31334)Termination phase: Saturation
% 5.07/1.05
% 5.07/1.05 % (31334)Memory used [KB]: 6524
% 5.07/1.05 % (31334)Time elapsed: 0.160 s
% 5.07/1.05 % (31334)Instructions burned: 459 (million)
% 5.07/1.05 % (31334)------------------------------
% 5.07/1.05 % (31334)------------------------------
% 5.07/1.06 % (31353)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 theBenchmark for (2993ds/53Mi)
% 5.07/1.06 % (31354)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 theBenchmark for (2993ds/4436Mi)
% 5.07/1.07 % (31353)Instruction limit reached!
% 5.07/1.07 % (31353)------------------------------
% 5.07/1.07 % (31353)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 5.07/1.07 % (31353)Termination reason: Unknown
% 5.07/1.07 % (31353)Termination phase: Function definition elimination
% 5.07/1.07
% 5.07/1.07 % (31353)Memory used [KB]: 1663
% 5.07/1.07 % (31353)Time elapsed: 0.014 s
% 5.07/1.07 % (31353)Instructions burned: 54 (million)
% 5.07/1.07 % (31353)------------------------------
% 5.07/1.07 % (31353)------------------------------
% 5.07/1.07 % (31348)Instruction limit reached!
% 5.07/1.07 % (31348)------------------------------
% 5.07/1.07 % (31348)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 5.07/1.07 % (31348)Termination reason: Unknown
% 5.07/1.07 % (31348)Termination phase: Saturation
% 5.07/1.07
% 5.07/1.07 % (31348)Memory used [KB]: 6524
% 5.07/1.07 % (31348)Time elapsed: 0.077 s
% 5.07/1.07 % (31348)Instructions burned: 370 (million)
% 5.07/1.07 % (31348)------------------------------
% 5.07/1.07 % (31348)------------------------------
% 5.07/1.07 % (31351)Instruction limit reached!
% 5.07/1.07 % (31351)------------------------------
% 5.07/1.07 % (31351)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 5.07/1.07 % (31351)Termination reason: Unknown
% 5.07/1.07 % (31351)Termination phase: Property scanning
% 5.07/1.07
% 5.07/1.07 % (31351)Memory used [KB]: 1791
% 5.07/1.07 % (31351)Time elapsed: 0.046 s
% 5.07/1.07 % (31351)Instructions burned: 205 (million)
% 5.07/1.07 % (31351)------------------------------
% 5.07/1.07 % (31351)------------------------------
% 5.07/1.08 % (31355)dis+1010_1:1_acc=model:avsq=on:ixr=off:prag=on:s2a=on:sac=on:i=1539:si=on:rtra=on_0 on theBenchmark for (2992ds/1539Mi)
% 5.07/1.08 % (31356)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 theBenchmark for (2992ds/408Mi)
% 5.80/1.08 % (31357)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 theBenchmark for (2992ds/5205Mi)
% 5.80/1.09 % (31350)Instruction limit reached!
% 5.80/1.09 % (31350)------------------------------
% 5.80/1.09 % (31350)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 5.80/1.09 % (31350)Termination reason: Unknown
% 5.80/1.09 % (31350)Termination phase: Saturation
% 5.80/1.09
% 5.80/1.09 % (31350)Memory used [KB]: 6396
% 5.80/1.09 % (31350)Time elapsed: 0.063 s
% 5.80/1.09 % (31350)Instructions burned: 272 (million)
% 5.80/1.09 % (31350)------------------------------
% 5.80/1.09 % (31350)------------------------------
% 5.80/1.10 % (31358)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 theBenchmark for (2992ds/1913Mi)
% 6.01/1.15 % (31344)Instruction limit reached!
% 6.01/1.15 % (31344)------------------------------
% 6.01/1.15 % (31344)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 6.01/1.15 % (31344)Termination reason: Unknown
% 6.01/1.15 % (31344)Termination phase: Saturation
% 6.01/1.15
% 6.01/1.15 % (31344)Memory used [KB]: 6780
% 6.01/1.15 % (31344)Time elapsed: 0.180 s
% 6.01/1.15 % (31344)Instructions burned: 927 (million)
% 6.01/1.15 % (31344)------------------------------
% 6.01/1.15 % (31344)------------------------------
% 6.15/1.16 % (31359)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 theBenchmark for (2991ds/4350Mi)
% 6.15/1.17 % (31337)Instruction limit reached!
% 6.15/1.17 % (31337)------------------------------
% 6.15/1.17 % (31337)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 6.15/1.17 % (31337)Termination reason: Unknown
% 6.15/1.17 % (31337)Termination phase: Saturation
% 6.15/1.17
% 6.15/1.17 % (31337)Memory used [KB]: 6908
% 6.15/1.17 % (31337)Time elapsed: 0.261 s
% 6.15/1.17 % (31337)Instructions burned: 989 (million)
% 6.15/1.17 % (31337)------------------------------
% 6.15/1.17 % (31337)------------------------------
% 6.15/1.18 % (31360)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 theBenchmark for (2991ds/68Mi)
% 6.15/1.21 % (31360)Instruction limit reached!
% 6.15/1.21 % (31360)------------------------------
% 6.15/1.21 % (31360)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 6.15/1.21 % (31360)Termination reason: Unknown
% 6.15/1.21 % (31360)Termination phase: Function definition elimination
% 6.15/1.21
% 6.15/1.21 % (31360)Memory used [KB]: 1791
% 6.15/1.21 % (31360)Time elapsed: 0.029 s
% 6.15/1.21 % (31360)Instructions burned: 69 (million)
% 6.15/1.21 % (31360)------------------------------
% 6.15/1.21 % (31360)------------------------------
% 6.15/1.22 % (31361)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 theBenchmark for (2991ds/358Mi)
% 6.34/1.23 % (31356)Instruction limit reached!
% 6.34/1.23 % (31356)------------------------------
% 6.34/1.23 % (31356)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 6.34/1.23 % (31356)Termination reason: Unknown
% 6.34/1.23 % (31356)Termination phase: Saturation
% 6.34/1.23
% 6.34/1.23 % (31356)Memory used [KB]: 7291
% 6.34/1.23 % (31356)Time elapsed: 0.153 s
% 6.34/1.23 % (31356)Instructions burned: 408 (million)
% 6.34/1.23 % (31356)------------------------------
% 6.34/1.23 % (31356)------------------------------
% 6.34/1.25 % (31362)lrs+1010_1:16_add=large:amm=off:anc=all_dependent:chr=on:fd=off:ins=2:sp=const_max:tnu=5:uhcvi=on:i=31:si=on:rtra=on_0 on theBenchmark for (2991ds/31Mi)
% 6.34/1.26 % (31362)Instruction limit reached!
% 6.34/1.26 % (31362)------------------------------
% 6.34/1.26 % (31362)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 6.34/1.26 % (31362)Termination reason: Unknown
% 6.34/1.26 % (31362)Termination phase: Preprocessing 3
% 6.34/1.26
% 6.34/1.26 % (31362)Memory used [KB]: 1535
% 6.34/1.26 % (31362)Time elapsed: 0.010 s
% 6.34/1.26 % (31362)Instructions burned: 31 (million)
% 6.34/1.26 % (31362)------------------------------
% 6.34/1.26 % (31362)------------------------------
% 6.34/1.26 % (31363)lrs+10_1:1_cnfonf=lazy_simp:sgt=5:sos=on:ss=axioms:i=279:si=on:rtra=on_0 on theBenchmark for (2990ds/279Mi)
% 6.73/1.34 % (31361)Instruction limit reached!
% 6.73/1.34 % (31361)------------------------------
% 6.73/1.34 % (31361)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 6.73/1.34 % (31361)Termination reason: Unknown
% 6.73/1.34 % (31361)Termination phase: Saturation
% 6.73/1.34
% 6.73/1.34 % (31361)Memory used [KB]: 6524
% 6.73/1.34 % (31361)Time elapsed: 0.117 s
% 6.73/1.34 % (31361)Instructions burned: 358 (million)
% 6.73/1.34 % (31361)------------------------------
% 6.73/1.34 % (31361)------------------------------
% 6.73/1.34 % (31363)Instruction limit reached!
% 6.73/1.34 % (31363)------------------------------
% 6.73/1.34 % (31363)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 6.73/1.34 % (31363)Termination reason: Unknown
% 6.73/1.34 % (31363)Termination phase: Saturation
% 6.73/1.34
% 6.73/1.34 % (31363)Memory used [KB]: 6524
% 6.73/1.34 % (31363)Time elapsed: 0.075 s
% 6.73/1.34 % (31363)Instructions burned: 279 (million)
% 6.73/1.34 % (31363)------------------------------
% 6.73/1.34 % (31363)------------------------------
% 6.73/1.35 % (31349)Instruction limit reached!
% 6.73/1.35 % (31349)------------------------------
% 6.73/1.35 % (31349)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 6.73/1.35 % (31349)Termination reason: Unknown
% 6.73/1.35 % (31349)Termination phase: Saturation
% 6.73/1.35
% 6.73/1.35 % (31349)Memory used [KB]: 6780
% 6.73/1.35 % (31349)Time elapsed: 0.333 s
% 6.73/1.35 % (31349)Instructions burned: 1021 (million)
% 6.73/1.35 % (31349)------------------------------
% 6.73/1.35 % (31349)------------------------------
% 6.73/1.35 % (31364)lrs+10_8:1_au=on:fde=none:slsq=on:i=258:si=on:rtra=on_0 on theBenchmark for (2990ds/258Mi)
% 6.73/1.35 % (31365)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 theBenchmark for (2990ds/26Mi)
% 6.73/1.36 % (31366)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 theBenchmark for (2990ds/995Mi)
% 6.73/1.36 % (31365)Instruction limit reached!
% 6.73/1.36 % (31365)------------------------------
% 6.73/1.36 % (31365)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 6.73/1.36 % (31365)Termination reason: Unknown
% 6.73/1.36 % (31365)Termination phase: Property scanning
% 6.73/1.36
% 6.73/1.36 % (31365)Memory used [KB]: 1535
% 6.73/1.36 % (31365)Time elapsed: 0.013 s
% 6.73/1.36 % (31365)Instructions burned: 27 (million)
% 6.73/1.36 % (31365)------------------------------
% 6.73/1.36 % (31365)------------------------------
% 7.02/1.37 % (31355)Instruction limit reached!
% 7.02/1.37 % (31355)------------------------------
% 7.02/1.37 % (31355)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 7.02/1.37 % (31355)Termination reason: Unknown
% 7.02/1.37 % (31355)Termination phase: Saturation
% 7.02/1.37
% 7.02/1.37 % (31355)Memory used [KB]: 6908
% 7.02/1.37 % (31355)Time elapsed: 0.290 s
% 7.02/1.37 % (31355)Instructions burned: 1539 (million)
% 7.02/1.37 % (31355)------------------------------
% 7.02/1.37 % (31355)------------------------------
% 7.02/1.37 % (31368)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 theBenchmark for (2989ds/253Mi)
% 7.02/1.38 % (31367)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 theBenchmark for (2989ds/373Mi)
% 7.37/1.43 % (31368)Instruction limit reached!
% 7.37/1.43 % (31368)------------------------------
% 7.37/1.43 % (31368)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 7.37/1.43 % (31368)Termination reason: Unknown
% 7.37/1.43 % (31368)Termination phase: Saturation
% 7.37/1.43
% 7.37/1.43 % (31368)Memory used [KB]: 6396
% 7.37/1.43 % (31368)Time elapsed: 0.055 s
% 7.37/1.43 % (31368)Instructions burned: 255 (million)
% 7.37/1.43 % (31368)------------------------------
% 7.37/1.43 % (31368)------------------------------
% 7.37/1.44 % (31369)lrs+1002_1:14_au=on:bd=off:e2e=on:fde=unused:sac=on:sos=on:i=832:si=on:rtra=on_0 on theBenchmark for (2989ds/832Mi)
% 7.37/1.45 % (31369)Refutation not found, incomplete strategy
% 7.37/1.45 % (31369)------------------------------
% 7.37/1.45 % (31369)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 7.37/1.45 % (31369)Termination reason: Refutation not found, incomplete strategy
% 7.37/1.45
% 7.37/1.45
% 7.37/1.45 % (31369)Memory used [KB]: 6140
% 7.37/1.45 % (31369)Time elapsed: 0.016 s
% 7.37/1.45 % (31369)Instructions burned: 54 (million)
% 7.37/1.45 % (31369)------------------------------
% 7.37/1.45 % (31369)------------------------------
% 7.48/1.46 % (31370)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 theBenchmark for (2989ds/668Mi)
% 7.48/1.46 % (31364)Instruction limit reached!
% 7.48/1.46 % (31364)------------------------------
% 7.48/1.46 % (31364)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 7.48/1.46 % (31364)Termination reason: Unknown
% 7.48/1.46 % (31364)Termination phase: Saturation
% 7.48/1.46
% 7.48/1.46 % (31364)Memory used [KB]: 6908
% 7.48/1.46 % (31364)Time elapsed: 0.112 s
% 7.48/1.46 % (31364)Instructions burned: 259 (million)
% 7.48/1.46 % (31364)------------------------------
% 7.48/1.46 % (31364)------------------------------
% 7.48/1.46 % (31358)Instruction limit reached!
% 7.48/1.46 % (31358)------------------------------
% 7.48/1.46 % (31358)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 7.48/1.46 % (31358)Termination reason: Unknown
% 7.48/1.46 % (31358)Termination phase: Saturation
% 7.48/1.46
% 7.48/1.46 % (31358)Memory used [KB]: 2302
% 7.48/1.46 % (31358)Time elapsed: 0.362 s
% 7.48/1.46 % (31358)Instructions burned: 1914 (million)
% 7.48/1.46 % (31358)------------------------------
% 7.48/1.46 % (31358)------------------------------
% 7.48/1.47 % (31372)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 theBenchmark for (2988ds/294Mi)
% 7.48/1.47 % (31371)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 theBenchmark for (2988ds/40Mi)
% 7.48/1.49 % (31371)Instruction limit reached!
% 7.48/1.49 % (31371)------------------------------
% 7.48/1.49 % (31371)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 7.48/1.49 % (31371)Termination reason: Unknown
% 7.48/1.49 % (31371)Termination phase: Property scanning
% 7.48/1.49
% 7.48/1.49 % (31371)Memory used [KB]: 1535
% 7.48/1.49 % (31371)Time elapsed: 0.019 s
% 7.48/1.49 % (31371)Instructions burned: 41 (million)
% 7.48/1.49 % (31371)------------------------------
% 7.48/1.49 % (31371)------------------------------
% 7.48/1.50 % (31373)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 theBenchmark for (2988ds/187Mi)
% 7.48/1.51 % (31367)Instruction limit reached!
% 7.48/1.51 % (31367)------------------------------
% 7.48/1.51 % (31367)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 7.48/1.51 % (31367)Termination reason: Unknown
% 7.48/1.51 % (31367)Termination phase: Saturation
% 7.48/1.51
% 7.48/1.51 % (31367)Memory used [KB]: 6524
% 7.48/1.51 % (31367)Time elapsed: 0.133 s
% 7.48/1.51 % (31367)Instructions burned: 375 (million)
% 7.48/1.51 % (31367)------------------------------
% 7.48/1.51 % (31367)------------------------------
% 7.48/1.52 % (31374)lrs+1010_2:3_au=on:fsr=off:sd=4:ss=axioms:st=1.5:i=371:si=on:rtra=on_0 on theBenchmark for (2988ds/371Mi)
% 8.23/1.54 % (31372)Instruction limit reached!
% 8.23/1.54 % (31372)------------------------------
% 8.23/1.54 % (31372)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 8.23/1.54 % (31372)Termination reason: Unknown
% 8.23/1.54 % (31372)Termination phase: Saturation
% 8.23/1.54
% 8.23/1.54 % (31372)Memory used [KB]: 6524
% 8.23/1.54 % (31372)Time elapsed: 0.076 s
% 8.23/1.54 % (31372)Instructions burned: 294 (million)
% 8.23/1.54 % (31372)------------------------------
% 8.23/1.54 % (31372)------------------------------
% 8.23/1.55 % (31375)dis+1003_1:1_au=on:bd=preordered:fde=none:ixr=off:nwc=10.0:i=1827:si=on:rtra=on_0 on theBenchmark for (2988ds/1827Mi)
% 8.23/1.56 % (31373)Instruction limit reached!
% 8.23/1.56 % (31373)------------------------------
% 8.23/1.56 % (31373)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 8.23/1.56 % (31373)Termination reason: Unknown
% 8.23/1.56 % (31373)Termination phase: Property scanning
% 8.23/1.56
% 8.23/1.56 % (31373)Memory used [KB]: 1918
% 8.23/1.56 % (31373)Time elapsed: 0.064 s
% 8.23/1.56 % (31373)Instructions burned: 188 (million)
% 8.23/1.56 % (31373)------------------------------
% 8.23/1.56 % (31373)------------------------------
% 8.35/1.57 % (31376)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 theBenchmark for (2987ds/70Mi)
% 8.35/1.59 % (31376)Instruction limit reached!
% 8.35/1.59 % (31376)------------------------------
% 8.35/1.59 % (31376)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 8.35/1.59 % (31376)Termination reason: Unknown
% 8.35/1.59 % (31376)Termination phase: Function definition elimination
% 8.35/1.59
% 8.35/1.59 % (31376)Memory used [KB]: 1791
% 8.35/1.59 % (31376)Time elapsed: 0.016 s
% 8.35/1.59 % (31376)Instructions burned: 70 (million)
% 8.35/1.59 % (31376)------------------------------
% 8.35/1.59 % (31376)------------------------------
% 8.35/1.59 % (31370)Instruction limit reached!
% 8.35/1.59 % (31370)------------------------------
% 8.35/1.59 % (31370)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 8.35/1.59 % (31370)Termination reason: Unknown
% 8.35/1.59 % (31370)Termination phase: Saturation
% 8.35/1.59
% 8.35/1.59 % (31370)Memory used [KB]: 11257
% 8.35/1.59 % (31370)Time elapsed: 0.134 s
% 8.35/1.59 % (31370)Instructions burned: 672 (million)
% 8.35/1.59 % (31370)------------------------------
% 8.35/1.59 % (31370)------------------------------
% 8.35/1.60 % (31377)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 theBenchmark for (2987ds/316Mi)
% 8.35/1.60 % (31378)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 theBenchmark for (2987ds/932Mi)
% 8.35/1.63 % (31374)Instruction limit reached!
% 8.35/1.63 % (31374)------------------------------
% 8.35/1.63 % (31374)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 8.35/1.63 % (31374)Termination reason: Unknown
% 8.35/1.63 % (31374)Termination phase: Saturation
% 8.35/1.63
% 8.35/1.63 % (31374)Memory used [KB]: 6396
% 8.35/1.63 % (31374)Time elapsed: 0.113 s
% 8.35/1.63 % (31374)Instructions burned: 371 (million)
% 8.35/1.63 % (31374)------------------------------
% 8.35/1.63 % (31374)------------------------------
% 10.30/1.65 % (31379)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 theBenchmark for (2987ds/4714Mi)
% 10.30/1.66 % (31377)Instruction limit reached!
% 10.30/1.66 % (31377)------------------------------
% 10.30/1.66 % (31377)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 10.30/1.66 % (31377)Termination reason: Unknown
% 10.30/1.66 % (31377)Termination phase: Saturation
% 10.30/1.66
% 10.30/1.66 % (31377)Memory used [KB]: 6524
% 10.30/1.66 % (31377)Time elapsed: 0.066 s
% 10.30/1.66 % (31377)Instructions burned: 317 (million)
% 10.30/1.66 % (31377)------------------------------
% 10.30/1.66 % (31377)------------------------------
% 10.30/1.66 % (31366)Instruction limit reached!
% 10.30/1.66 % (31366)------------------------------
% 10.30/1.66 % (31366)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 10.30/1.66 % (31366)Termination reason: Unknown
% 10.30/1.66 % (31366)Termination phase: Saturation
% 10.30/1.66
% 10.30/1.66 % (31366)Memory used [KB]: 7164
% 10.30/1.66 % (31366)Time elapsed: 0.304 s
% 10.30/1.66 % (31366)Instructions burned: 996 (million)
% 10.30/1.66 % (31366)------------------------------
% 10.30/1.66 % (31366)------------------------------
% 10.30/1.67 % (31380)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 theBenchmark for (2986ds/8250Mi)
% 10.55/1.68 % (31381)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 theBenchmark for (2986ds/770Mi)
% 10.55/1.71 % (31381)Refutation not found, incomplete strategy
% 10.55/1.71 % (31381)------------------------------
% 10.55/1.71 % (31381)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 10.55/1.71 % (31381)Termination reason: Refutation not found, incomplete strategy
% 10.55/1.71
% 10.55/1.71
% 10.55/1.71 % (31381)Memory used [KB]: 6396
% 10.55/1.71 % (31381)Time elapsed: 0.035 s
% 10.55/1.71 % (31381)Instructions burned: 75 (million)
% 10.55/1.71 % (31381)------------------------------
% 10.55/1.71 % (31381)------------------------------
% 10.55/1.73 % (31382)ott+1010_5:1_av=off:fe=off:ins=1:kws=precedence:sp=reverse_arity:i=794:si=on:rtra=on_0 on theBenchmark for (2986ds/794Mi)
% 11.07/1.78 % (31378)Instruction limit reached!
% 11.07/1.78 % (31378)------------------------------
% 11.07/1.78 % (31378)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 11.07/1.78 % (31378)Termination reason: Unknown
% 11.07/1.78 % (31378)Termination phase: Saturation
% 11.07/1.78
% 11.07/1.78 % (31378)Memory used [KB]: 6780
% 11.07/1.78 % (31378)Time elapsed: 0.187 s
% 11.07/1.78 % (31378)Instructions burned: 933 (million)
% 11.07/1.78 % (31378)------------------------------
% 11.07/1.78 % (31378)------------------------------
% 11.07/1.79 % (31383)dis+1002_1:1_au=on:avsq=on:avsqr=1,16:cond=on:sp=frequency:i=464:si=on:rtra=on_0 on theBenchmark for (2985ds/464Mi)
% 11.57/1.89 % (31383)Instruction limit reached!
% 11.57/1.89 % (31383)------------------------------
% 11.57/1.89 % (31383)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 11.57/1.89 % (31383)Termination reason: Unknown
% 11.57/1.89 % (31383)Termination phase: Saturation
% 11.57/1.89
% 11.57/1.89 % (31383)Memory used [KB]: 6524
% 11.57/1.89 % (31383)Time elapsed: 0.096 s
% 11.57/1.89 % (31383)Instructions burned: 464 (million)
% 11.57/1.89 % (31383)------------------------------
% 11.57/1.89 % (31383)------------------------------
% 11.57/1.89 % (31382)Instruction limit reached!
% 11.57/1.89 % (31382)------------------------------
% 11.57/1.89 % (31382)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 11.57/1.89 % (31382)Termination reason: Unknown
% 11.57/1.89 % (31382)Termination phase: Saturation
% 11.57/1.89
% 11.57/1.89 % (31382)Memory used [KB]: 2302
% 11.57/1.89 % (31382)Time elapsed: 0.166 s
% 11.57/1.89 % (31382)Instructions burned: 795 (million)
% 11.57/1.89 % (31382)------------------------------
% 11.57/1.89 % (31382)------------------------------
% 11.57/1.90 % (31384)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 theBenchmark for (2984ds/1376Mi)
% 11.57/1.91 % (31385)dis+10_1:1_etr=on:plsq=on:plsqc=1:plsqr=32,1:i=906:si=on:rtra=on_0 on theBenchmark for (2984ds/906Mi)
% 12.77/2.04 % (31375)Instruction limit reached!
% 12.77/2.04 % (31375)------------------------------
% 12.77/2.04 % (31375)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 12.77/2.04 % (31375)Termination reason: Unknown
% 12.77/2.04 % (31375)Termination phase: Saturation
% 12.77/2.04
% 12.77/2.04 % (31375)Memory used [KB]: 10874
% 12.77/2.04 % (31375)Time elapsed: 0.488 s
% 12.77/2.04 % (31375)Instructions burned: 1829 (million)
% 12.77/2.04 % (31375)------------------------------
% 12.77/2.04 % (31375)------------------------------
% 12.77/2.05 % (31386)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 theBenchmark for (2983ds/434Mi)
% 13.09/2.13 % (31385)Instruction limit reached!
% 13.09/2.13 % (31385)------------------------------
% 13.09/2.13 % (31385)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 13.09/2.13 % (31385)Termination reason: Unknown
% 13.09/2.13 % (31385)Termination phase: Saturation
% 13.09/2.13
% 13.09/2.13 % (31385)Memory used [KB]: 6908
% 13.09/2.13 % (31385)Time elapsed: 0.221 s
% 13.09/2.13 % (31385)Instructions burned: 910 (million)
% 13.09/2.13 % (31385)------------------------------
% 13.09/2.13 % (31385)------------------------------
% 13.09/2.13 % (31387)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 theBenchmark for (2982ds/865Mi)
% 14.42/2.18 % (31386)Instruction limit reached!
% 14.42/2.18 % (31386)------------------------------
% 14.42/2.18 % (31386)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 14.42/2.18 % (31386)Termination reason: Unknown
% 14.42/2.18 % (31386)Termination phase: Saturation
% 14.42/2.18
% 14.42/2.18 % (31386)Memory used [KB]: 7036
% 14.42/2.18 % (31386)Time elapsed: 0.132 s
% 14.42/2.18 % (31386)Instructions burned: 436 (million)
% 14.42/2.18 % (31386)------------------------------
% 14.42/2.18 % (31386)------------------------------
% 14.42/2.19 % (31388)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 theBenchmark for (2981ds/593Mi)
% 14.42/2.22 % (31357)Instruction limit reached!
% 14.42/2.22 % (31357)------------------------------
% 14.42/2.22 % (31357)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 14.42/2.22 % (31357)Termination reason: Unknown
% 14.42/2.22 % (31357)Termination phase: Saturation
% 14.42/2.22
% 14.42/2.22 % (31357)Memory used [KB]: 8443
% 14.42/2.22 % (31357)Time elapsed: 1.137 s
% 14.42/2.22 % (31357)Instructions burned: 5205 (million)
% 14.42/2.22 % (31357)------------------------------
% 14.42/2.22 % (31357)------------------------------
% 14.42/2.23 % (31389)dis+10_1:1_sd=2:sgt=20:slsq=on:ss=axioms:st=6.0:i=443:si=on:rtra=on_0 on theBenchmark for (2981ds/443Mi)
% 14.98/2.29 % (31384)Instruction limit reached!
% 14.98/2.29 % (31384)------------------------------
% 14.98/2.29 % (31384)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 14.98/2.29 % (31384)Termination reason: Unknown
% 14.98/2.29 % (31384)Termination phase: Saturation
% 14.98/2.29
% 14.98/2.29 % (31384)Memory used [KB]: 9722
% 14.98/2.29 % (31384)Time elapsed: 0.384 s
% 14.98/2.29 % (31384)Instructions burned: 1378 (million)
% 14.98/2.29 % (31384)------------------------------
% 14.98/2.29 % (31384)------------------------------
% 15.26/2.29 % (31390)dis+10_1:1_atotf=0.1:cbe=off:sd=3:ss=axioms:st=2.0:i=594:si=on:rtra=on_0 on theBenchmark for (2980ds/594Mi)
% 15.26/2.32 % (31389)Instruction limit reached!
% 15.26/2.32 % (31389)------------------------------
% 15.26/2.32 % (31389)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 15.26/2.32 % (31389)Termination reason: Unknown
% 15.26/2.32 % (31389)Termination phase: Saturation
% 15.26/2.32
% 15.26/2.32 % (31389)Memory used [KB]: 6524
% 15.26/2.32 % (31389)Time elapsed: 0.093 s
% 15.26/2.32 % (31389)Instructions burned: 446 (million)
% 15.26/2.32 % (31389)------------------------------
% 15.26/2.32 % (31389)------------------------------
% 15.26/2.33 % (31391)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 theBenchmark for (2980ds/327Mi)
% 15.66/2.36 % (31388)Instruction limit reached!
% 15.66/2.36 % (31388)------------------------------
% 15.66/2.36 % (31388)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 15.66/2.36 % (31388)Termination reason: Unknown
% 15.66/2.36 % (31388)Termination phase: Saturation
% 15.66/2.36
% 15.66/2.36 % (31388)Memory used [KB]: 6780
% 15.66/2.36 % (31388)Time elapsed: 0.177 s
% 15.66/2.36 % (31388)Instructions burned: 594 (million)
% 15.66/2.36 % (31388)------------------------------
% 15.66/2.36 % (31388)------------------------------
% 15.66/2.37 % (31387)Instruction limit reached!
% 15.66/2.37 % (31387)------------------------------
% 15.66/2.37 % (31387)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 15.66/2.37 % (31387)Termination reason: Unknown
% 15.66/2.37 % (31387)Termination phase: Saturation
% 15.66/2.37
% 15.66/2.37 % (31387)Memory used [KB]: 7036
% 15.66/2.37 % (31387)Time elapsed: 0.242 s
% 15.66/2.37 % (31387)Instructions burned: 866 (million)
% 15.66/2.37 % (31387)------------------------------
% 15.66/2.37 % (31387)------------------------------
% 15.66/2.38 % (31392)lrs+1002_1:1_au=on:bd=off:e2e=on:sd=2:sos=on:ss=axioms:i=5411:si=on:rtra=on_0 on theBenchmark for (2980ds/5411Mi)
% 15.66/2.38 % (31393)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 theBenchmark for (2979ds/1762Mi)
% 15.66/2.40 % (31354)Instruction limit reached!
% 15.66/2.40 % (31354)------------------------------
% 15.66/2.40 % (31354)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 15.66/2.40 % (31354)Termination reason: Unknown
% 15.66/2.40 % (31354)Termination phase: Saturation
% 15.66/2.40
% 15.66/2.40 % (31354)Memory used [KB]: 7675
% 15.66/2.40 % (31354)Time elapsed: 1.317 s
% 15.66/2.40 % (31354)Instructions burned: 4436 (million)
% 15.66/2.40 % (31354)------------------------------
% 15.66/2.40 % (31354)------------------------------
% 16.09/2.41 % (31390)Instruction limit reached!
% 16.09/2.41 % (31390)------------------------------
% 16.09/2.41 % (31390)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 16.09/2.41 % (31390)Termination reason: Unknown
% 16.09/2.41 % (31390)Termination phase: Saturation
% 16.09/2.41
% 16.09/2.41 % (31390)Memory used [KB]: 6524
% 16.09/2.41 % (31390)Time elapsed: 0.120 s
% 16.09/2.41 % (31390)Instructions burned: 594 (million)
% 16.09/2.41 % (31390)------------------------------
% 16.09/2.41 % (31390)------------------------------
% 16.09/2.42 % (31394)dis+1003_1:64_cha=on:cnfonf=lazy_gen:hud=9:nwc=8.0:prag=on:i=96:si=on:rtra=on_0 on theBenchmark for (2979ds/96Mi)
% 16.09/2.42 % (31395)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 theBenchmark for (2979ds/503Mi)
% 16.09/2.42 % (31391)Instruction limit reached!
% 16.09/2.42 % (31391)------------------------------
% 16.09/2.42 % (31391)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 16.09/2.42 % (31391)Termination reason: Unknown
% 16.09/2.42 % (31391)Termination phase: Saturation
% 16.09/2.42
% 16.09/2.42 % (31391)Memory used [KB]: 7547
% 16.09/2.42 % (31391)Time elapsed: 0.099 s
% 16.09/2.42 % (31391)Instructions burned: 327 (million)
% 16.09/2.42 % (31391)------------------------------
% 16.09/2.42 % (31391)------------------------------
% 16.09/2.43 % (31396)lrs+1002_1:1024_au=on:cond=fast:ntd=on:piset=and:plsq=on:plsqc=1:plsqr=183491,1048576:sac=on:tgt=ground:i=90:si=on:rtra=on_0 on theBenchmark for (2979ds/90Mi)
% 16.09/2.45 % (31394)Instruction limit reached!
% 16.09/2.45 % (31394)------------------------------
% 16.09/2.45 % (31394)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 16.09/2.45 % (31394)Termination reason: Unknown
% 16.09/2.45 % (31394)Termination phase: Property scanning
% 16.09/2.45
% 16.09/2.45 % (31394)Memory used [KB]: 1791
% 16.09/2.45 % (31394)Time elapsed: 0.035 s
% 16.09/2.45 % (31394)Instructions burned: 97 (million)
% 16.09/2.45 % (31394)------------------------------
% 16.09/2.45 % (31394)------------------------------
% 16.09/2.45 % (31396)Instruction limit reached!
% 16.09/2.45 % (31396)------------------------------
% 16.09/2.45 % (31396)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 16.09/2.45 % (31396)Termination reason: Unknown
% 16.09/2.45 % (31396)Termination phase: Twee Goal Transformation
% 16.09/2.45
% 16.09/2.45 % (31396)Memory used [KB]: 1918
% 16.09/2.45 % (31396)Time elapsed: 0.021 s
% 16.09/2.45 % (31396)Instructions burned: 93 (million)
% 16.09/2.45 % (31396)------------------------------
% 16.09/2.45 % (31396)------------------------------
% 16.54/2.46 % (31398)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 theBenchmark for (2979ds/1512Mi)
% 16.54/2.47 % (31397)lrs+10_1:64_hud=5:plsq=on:plsqr=2011171,524288:i=593:si=on:rtra=on_0 on theBenchmark for (2979ds/593Mi)
% 16.54/2.54 % (31395)Instruction limit reached!
% 16.54/2.54 % (31395)------------------------------
% 16.54/2.54 % (31395)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 16.54/2.54 % (31395)Termination reason: Unknown
% 16.54/2.54 % (31395)Termination phase: Saturation
% 16.54/2.54
% 16.54/2.54 % (31395)Memory used [KB]: 6652
% 16.54/2.54 % (31395)Time elapsed: 0.123 s
% 16.54/2.54 % (31395)Instructions burned: 504 (million)
% 16.54/2.54 % (31395)------------------------------
% 16.54/2.54 % (31395)------------------------------
% 16.95/2.55 % (31399)lrs+1002_1:128_cbe=off:cnfonf=lazy_not_gen_be_off:ins=1:i=569:si=on:rtra=on_0 on theBenchmark for (2978ds/569Mi)
% 17.24/2.64 % (31397)Instruction limit reached!
% 17.24/2.64 % (31397)------------------------------
% 17.24/2.64 % (31397)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 17.24/2.64 % (31397)Termination reason: Unknown
% 17.24/2.64 % (31397)Termination phase: Saturation
% 17.24/2.64
% 17.24/2.64 % (31397)Memory used [KB]: 6780
% 17.24/2.64 % (31397)Time elapsed: 0.178 s
% 17.24/2.64 % (31397)Instructions burned: 594 (million)
% 17.24/2.64 % (31397)------------------------------
% 17.24/2.64 % (31397)------------------------------
% 17.45/2.66 % (31400)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 theBenchmark for (2977ds/501Mi)
% 17.45/2.67 % (31399)Instruction limit reached!
% 17.45/2.67 % (31399)------------------------------
% 17.45/2.67 % (31399)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 17.45/2.67 % (31399)Termination reason: Unknown
% 17.45/2.67 % (31399)Termination phase: Saturation
% 17.45/2.67
% 17.45/2.67 % (31399)Memory used [KB]: 6780
% 17.45/2.67 % (31399)Time elapsed: 0.117 s
% 17.45/2.67 % (31399)Instructions burned: 572 (million)
% 17.45/2.67 % (31399)------------------------------
% 17.45/2.67 % (31399)------------------------------
% 17.45/2.67 % (31359)Instruction limit reached!
% 17.45/2.67 % (31359)------------------------------
% 17.45/2.67 % (31359)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 17.45/2.67 % (31359)Termination reason: Unknown
% 17.45/2.67 % (31359)Termination phase: Saturation
% 17.45/2.67
% 17.45/2.67 % (31359)Memory used [KB]: 7931
% 17.45/2.67 % (31359)Time elapsed: 1.509 s
% 17.45/2.67 % (31359)Instructions burned: 4352 (million)
% 17.45/2.67 % (31359)------------------------------
% 17.45/2.67 % (31359)------------------------------
% 17.45/2.67 % (31401)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 theBenchmark for (2976ds/562Mi)
% 17.45/2.68 % (31402)lrs+10_1:1_au=on:cnfonf=off:fde=unused:kws=precedence:tgt=full:i=406:si=on:rtra=on_0 on theBenchmark for (2976ds/406Mi)
% 17.45/2.72 % (31379)Instruction limit reached!
% 17.45/2.72 % (31379)------------------------------
% 17.45/2.72 % (31379)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 17.45/2.72 % (31379)Termination reason: Unknown
% 17.45/2.72 % (31379)Termination phase: Saturation
% 17.45/2.72
% 17.45/2.72 % (31379)Memory used [KB]: 7164
% 17.45/2.72 % (31379)Time elapsed: 1.072 s
% 17.45/2.72 % (31379)Instructions burned: 4715 (million)
% 17.45/2.72 % (31379)------------------------------
% 17.45/2.72 % (31379)------------------------------
% 17.45/2.72 % (31393)Instruction limit reached!
% 17.45/2.72 % (31393)------------------------------
% 17.45/2.72 % (31393)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 17.45/2.72 % (31393)Termination reason: Unknown
% 17.45/2.72 % (31393)Termination phase: Saturation
% 17.45/2.72
% 17.45/2.72 % (31393)Memory used [KB]: 7036
% 17.45/2.72 % (31393)Time elapsed: 0.339 s
% 17.45/2.72 % (31393)Instructions burned: 1763 (million)
% 17.45/2.72 % (31393)------------------------------
% 17.45/2.72 % (31393)------------------------------
% 17.45/2.72 % (31398)Refutation not found, incomplete strategy
% 17.45/2.72 % (31398)------------------------------
% 17.45/2.72 % (31398)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 17.45/2.72 % (31398)Termination reason: Refutation not found, incomplete strategy
% 17.45/2.72
% 17.45/2.72
% 17.45/2.72 % (31398)Memory used [KB]: 7036
% 17.45/2.72 % (31398)Time elapsed: 0.286 s
% 17.45/2.72 % (31398)Instructions burned: 891 (million)
% 17.45/2.72 % (31398)------------------------------
% 17.45/2.72 % (31398)------------------------------
% 17.45/2.72 % (31403)dis+1004_1:128_au=on:cbe=off:e2e=on:sac=on:i=582:si=on:rtra=on_0 on theBenchmark for (2976ds/582Mi)
% 18.88/2.73 % (31404)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 theBenchmark for (2976ds/456Mi)
% 18.88/2.73 % (31405)lrs+1010_1:1_au=on:cbe=off:cnfonf=conj_eager:tgt=ground:i=393:si=on:rtra=on_0 on theBenchmark for (2976ds/393Mi)
% 19.12/2.79 % (31401)Instruction limit reached!
% 19.12/2.79 % (31401)------------------------------
% 19.12/2.79 % (31401)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 19.12/2.79 % (31401)Termination reason: Unknown
% 19.12/2.79 % (31401)Termination phase: Saturation
% 19.12/2.79
% 19.12/2.79 % (31401)Memory used [KB]: 6780
% 19.12/2.79 % (31401)Time elapsed: 0.116 s
% 19.12/2.79 % (31401)Instructions burned: 562 (million)
% 19.12/2.79 % (31401)------------------------------
% 19.12/2.79 % (31401)------------------------------
% 19.12/2.80 % (31406)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 theBenchmark for (2975ds/1335Mi)
% 19.12/2.81 % (31400)Instruction limit reached!
% 19.12/2.81 % (31400)------------------------------
% 19.12/2.81 % (31400)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 19.12/2.81 % (31400)Termination reason: Unknown
% 19.12/2.81 % (31400)Termination phase: Saturation
% 19.12/2.81
% 19.12/2.81 % (31400)Memory used [KB]: 6780
% 19.12/2.81 % (31400)Time elapsed: 0.139 s
% 19.12/2.81 % (31400)Instructions burned: 505 (million)
% 19.12/2.81 % (31400)------------------------------
% 19.12/2.81 % (31400)------------------------------
% 19.12/2.82 % (31407)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 theBenchmark for (2975ds/3373Mi)
% 19.12/2.84 % (31405)Refutation not found, non-redundant clauses discarded% (31405)------------------------------
% 19.12/2.84 % (31405)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 19.12/2.84 % (31405)Termination reason: Refutation not found, non-redundant clauses discarded
% 19.12/2.84
% 19.12/2.84 % (31405)Memory used [KB]: 7547
% 19.12/2.84 % (31405)Time elapsed: 0.114 s
% 19.12/2.84 % (31405)Instructions burned: 374 (million)
% 19.12/2.84 % (31405)------------------------------
% 19.12/2.84 % (31405)------------------------------
% 19.12/2.85 % (31403)Instruction limit reached!
% 19.12/2.85 % (31403)------------------------------
% 19.12/2.85 % (31403)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 19.12/2.85 % (31403)Termination reason: Unknown
% 19.12/2.85 % (31403)Termination phase: Saturation
% 19.12/2.85
% 19.12/2.85 % (31403)Memory used [KB]: 6780
% 19.12/2.85 % (31403)Time elapsed: 0.125 s
% 19.12/2.85 % (31403)Instructions burned: 584 (million)
% 19.12/2.85 % (31403)------------------------------
% 19.12/2.85 % (31403)------------------------------
% 19.12/2.85 % (31404)Instruction limit reached!
% 19.12/2.85 % (31404)------------------------------
% 19.12/2.85 % (31404)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 19.12/2.85 % (31404)Termination reason: Unknown
% 19.12/2.85 % (31404)Termination phase: Saturation
% 19.12/2.85
% 19.12/2.85 % (31404)Memory used [KB]: 6780
% 19.12/2.85 % (31404)Time elapsed: 0.124 s
% 19.12/2.85 % (31404)Instructions burned: 457 (million)
% 19.12/2.85 % (31404)------------------------------
% 19.12/2.85 % (31404)------------------------------
% 19.12/2.85 % (31408)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 theBenchmark for (2975ds/474Mi)
% 19.12/2.86 % (31409)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 theBenchmark for (2975ds/157Mi)
% 19.12/2.86 % (31410)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 theBenchmark for (2974ds/590Mi)
% 19.84/2.88 % (31402)Instruction limit reached!
% 19.84/2.88 % (31402)------------------------------
% 19.84/2.88 % (31402)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 19.84/2.88 % (31402)Termination reason: Unknown
% 19.84/2.88 % (31402)Termination phase: Saturation
% 19.84/2.88
% 19.84/2.88 % (31402)Memory used [KB]: 7803
% 19.84/2.88 % (31402)Time elapsed: 0.202 s
% 19.84/2.88 % (31402)Instructions burned: 406 (million)
% 19.84/2.88 % (31402)------------------------------
% 19.84/2.88 % (31402)------------------------------
% 19.94/2.89 % (31409)Instruction limit reached!
% 19.94/2.89 % (31409)------------------------------
% 19.94/2.89 % (31409)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 19.94/2.89 % (31409)Termination reason: Unknown
% 19.94/2.89 % (31409)Termination phase: Property scanning
% 19.94/2.89
% 19.94/2.89 % (31409)Memory used [KB]: 1791
% 19.94/2.89 % (31409)Time elapsed: 0.035 s
% 19.94/2.89 % (31409)Instructions burned: 159 (million)
% 19.94/2.89 % (31409)------------------------------
% 19.94/2.89 % (31409)------------------------------
% 19.94/2.89 % (31411)dis+10_1:1024_kws=precedence:prag=on:rawr=on:sos=all:sp=unary_first:i=104:si=on:rtra=on_0 on theBenchmark for (2974ds/104Mi)
% 19.94/2.90 % (31412)lrs+1010_1:10_au=on:bd=off:cnfonf=lazy_pi_sigma_gen:sp=occurrence:i=414:si=on:rtra=on_0 on theBenchmark for (2974ds/414Mi)
% 20.04/2.92 % (31411)Instruction limit reached!
% 20.04/2.92 % (31411)------------------------------
% 20.04/2.92 % (31411)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 20.04/2.92 % (31411)Termination reason: Unknown
% 20.04/2.92 % (31411)Termination phase: Property scanning
% 20.04/2.92
% 20.04/2.92 % (31411)Memory used [KB]: 1918
% 20.04/2.92 % (31411)Time elapsed: 0.032 s
% 20.04/2.92 % (31411)Instructions burned: 105 (million)
% 20.04/2.92 % (31411)------------------------------
% 20.04/2.92 % (31411)------------------------------
% 20.09/2.94 % (31413)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 theBenchmark for (2974ds/715Mi)
% 20.09/2.95 % (31408)Instruction limit reached!
% 20.09/2.95 % (31408)------------------------------
% 20.09/2.95 % (31408)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 20.09/2.95 % (31408)Termination reason: Unknown
% 20.09/2.95 % (31408)Termination phase: Saturation
% 20.09/2.95
% 20.09/2.95 % (31408)Memory used [KB]: 6780
% 20.09/2.95 % (31408)Time elapsed: 0.097 s
% 20.09/2.95 % (31408)Instructions burned: 477 (million)
% 20.09/2.95 % (31408)------------------------------
% 20.09/2.95 % (31408)------------------------------
% 20.09/2.96 % (31414)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 theBenchmark for (2974ds/961Mi)
% 20.09/2.98 % (31412)Instruction limit reached!
% 20.09/2.98 % (31412)------------------------------
% 20.09/2.98 % (31412)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 20.09/2.98 % (31412)Termination reason: Unknown
% 20.09/2.98 % (31412)Termination phase: Saturation
% 20.09/2.98
% 20.09/2.98 % (31412)Memory used [KB]: 6524
% 20.09/2.98 % (31412)Time elapsed: 0.086 s
% 20.09/2.98 % (31412)Instructions burned: 417 (million)
% 20.09/2.98 % (31412)------------------------------
% 20.09/2.98 % (31412)------------------------------
% 20.09/2.99 % (31415)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 theBenchmark for (2973ds/1213Mi)
% 20.57/3.08 % (31413)Instruction limit reached!
% 20.57/3.08 % (31413)------------------------------
% 20.57/3.08 % (31413)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 20.57/3.08 % (31413)Termination reason: Unknown
% 20.57/3.08 % (31413)Termination phase: Saturation
% 20.57/3.08
% 20.57/3.08 % (31413)Memory used [KB]: 2302
% 20.57/3.08 % (31413)Time elapsed: 0.143 s
% 20.57/3.08 % (31413)Instructions burned: 718 (million)
% 20.57/3.08 % (31413)------------------------------
% 20.57/3.08 % (31413)------------------------------
% 20.57/3.09 % (31416)lrs+1002_1:12_bd=off:hud=1:ntd=on:piset=equals:prag=on:i=1979:si=on:rtra=on_0 on theBenchmark for (2972ds/1979Mi)
% 20.57/3.12 % (31410)Instruction limit reached!
% 20.57/3.12 % (31410)------------------------------
% 20.57/3.12 % (31410)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 20.57/3.12 % (31410)Termination reason: Unknown
% 20.57/3.12 % (31410)Termination phase: Saturation
% 20.57/3.12
% 20.57/3.12 % (31410)Memory used [KB]: 8315
% 20.57/3.12 % (31410)Time elapsed: 0.258 s
% 20.57/3.12 % (31410)Instructions burned: 590 (million)
% 20.57/3.12 % (31410)------------------------------
% 20.57/3.12 % (31410)------------------------------
% 20.57/3.14 % (31417)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 theBenchmark for (2972ds/481Mi)
% 20.57/3.14 % (31414)Instruction limit reached!
% 20.57/3.14 % (31414)------------------------------
% 20.57/3.14 % (31414)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 20.57/3.14 % (31414)Termination reason: Unknown
% 20.57/3.14 % (31414)Termination phase: Saturation
% 20.57/3.14
% 20.57/3.14 % (31414)Memory used [KB]: 6780
% 20.57/3.14 % (31414)Time elapsed: 0.188 s
% 20.57/3.14 % (31414)Instructions burned: 963 (million)
% 20.57/3.14 % (31414)------------------------------
% 20.57/3.14 % (31414)------------------------------
% 20.57/3.15 % (31418)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 theBenchmark for (2972ds/783Mi)
% 20.57/3.15 % (31406)Instruction limit reached!
% 20.57/3.15 % (31406)------------------------------
% 20.57/3.15 % (31406)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 20.57/3.15 % (31406)Termination reason: Unknown
% 20.57/3.15 % (31406)Termination phase: Saturation
% 20.57/3.15
% 20.57/3.15 % (31406)Memory used [KB]: 6780
% 20.57/3.15 % (31406)Time elapsed: 0.356 s
% 20.57/3.15 % (31406)Instructions burned: 1335 (million)
% 20.57/3.15 % (31406)------------------------------
% 20.57/3.15 % (31406)------------------------------
% 20.57/3.16 % (31419)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 theBenchmark for (2972ds/432Mi)
% 23.00/3.27 % (31419)Instruction limit reached!
% 23.00/3.27 % (31419)------------------------------
% 23.00/3.27 % (31419)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 23.00/3.27 % (31419)Termination reason: Unknown
% 23.00/3.27 % (31419)Termination phase: Saturation
% 23.00/3.27
% 23.00/3.27 % (31419)Memory used [KB]: 6524
% 23.00/3.27 % (31419)Time elapsed: 0.108 s
% 23.00/3.27 % (31419)Instructions burned: 433 (million)
% 23.00/3.27 % (31419)------------------------------
% 23.00/3.27 % (31419)------------------------------
% 23.00/3.27 % (31420)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 theBenchmark for (2970ds/1670Mi)
% 23.00/3.30 % (31417)Instruction limit reached!
% 23.00/3.30 % (31417)------------------------------
% 23.00/3.30 % (31417)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 23.00/3.30 % (31417)Termination reason: Unknown
% 23.00/3.30 % (31417)Termination phase: Saturation
% 23.00/3.30
% 23.00/3.30 % (31417)Memory used [KB]: 6780
% 23.00/3.30 % (31417)Time elapsed: 0.168 s
% 23.00/3.30 % (31417)Instructions burned: 482 (million)
% 23.00/3.30 % (31417)------------------------------
% 23.00/3.30 % (31417)------------------------------
% 23.00/3.32 % (31421)dis+2_1:1_au=on:hfaw=0:hfsq=on:sp=weighted_frequency:i=90:si=on:rtra=on_0 on theBenchmark for (2970ds/90Mi)
% 23.57/3.35 % (31421)Instruction limit reached!
% 23.57/3.35 % (31421)------------------------------
% 23.57/3.35 % (31421)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 23.57/3.35 % (31421)Termination reason: Unknown
% 23.57/3.35 % (31421)Termination phase: Property scanning
% 23.57/3.35
% 23.57/3.35 % (31421)Memory used [KB]: 1918
% 23.57/3.35 % (31421)Time elapsed: 0.035 s
% 23.57/3.35 % (31421)Instructions burned: 92 (million)
% 23.57/3.35 % (31421)------------------------------
% 23.57/3.35 % (31421)------------------------------
% 23.57/3.37 % (31422)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 theBenchmark for (2970ds/346Mi)
% 24.03/3.42 % (31415)Instruction limit reached!
% 24.03/3.42 % (31415)------------------------------
% 24.03/3.42 % (31415)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 24.03/3.42 % (31415)Termination reason: Unknown
% 24.03/3.42 % (31415)Termination phase: Saturation
% 24.03/3.42
% 24.03/3.42 % (31415)Memory used [KB]: 9594
% 24.03/3.42 % (31415)Time elapsed: 0.430 s
% 24.03/3.42 % (31415)Instructions burned: 1213 (million)
% 24.03/3.42 % (31415)------------------------------
% 24.03/3.42 % (31415)------------------------------
% 24.03/3.42 % (31418)Instruction limit reached!
% 24.03/3.42 % (31418)------------------------------
% 24.03/3.42 % (31418)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 24.03/3.42 % (31418)Termination reason: Unknown
% 24.03/3.42 % (31418)Termination phase: Saturation
% 24.03/3.42
% 24.03/3.42 % (31418)Memory used [KB]: 8315
% 24.03/3.42 % (31418)Time elapsed: 0.276 s
% 24.03/3.42 % (31418)Instructions burned: 785 (million)
% 24.03/3.42 % (31418)------------------------------
% 24.03/3.42 % (31418)------------------------------
% 24.03/3.43 % (31423)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 theBenchmark for (2969ds/401Mi)
% 24.03/3.44 % (31424)lrs+1010_1:1_au=on:s2a=on:sd=1:sgt=50:ss=axioms:i=6454:si=on:rtra=on_0 on theBenchmark for (2969ds/6454Mi)
% 24.03/3.46 % (31422)Instruction limit reached!
% 24.03/3.46 % (31422)------------------------------
% 24.03/3.46 % (31422)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 24.03/3.46 % (31422)Termination reason: Unknown
% 24.03/3.46 % (31422)Termination phase: Saturation
% 24.03/3.46
% 24.03/3.46 % (31422)Memory used [KB]: 6396
% 24.03/3.46 % (31422)Time elapsed: 0.092 s
% 24.03/3.46 % (31422)Instructions burned: 346 (million)
% 24.03/3.46 % (31422)------------------------------
% 24.03/3.46 % (31422)------------------------------
% 24.03/3.47 % (31425)dis+1010_1:1_avsq=on:fe=off:fsr=off:hud=10:kws=arity:prag=on:i=283:si=on:rtra=on_0 on theBenchmark for (2969ds/283Mi)
% 24.50/3.47 % (31416)Instruction limit reached!
% 24.50/3.47 % (31416)------------------------------
% 24.50/3.47 % (31416)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 24.50/3.47 % (31416)Termination reason: Unknown
% 24.50/3.47 % (31416)Termination phase: Saturation
% 24.50/3.47
% 24.50/3.47 % (31416)Memory used [KB]: 6780
% 24.50/3.47 % (31416)Time elapsed: 0.381 s
% 24.50/3.47 % (31416)Instructions burned: 1979 (million)
% 24.50/3.47 % (31416)------------------------------
% 24.50/3.47 % (31416)------------------------------
% 24.52/3.47 % (31426)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 theBenchmark for (2968ds/865Mi)
% 24.62/3.52 % (31425)Instruction limit reached!
% 24.62/3.52 % (31425)------------------------------
% 24.62/3.52 % (31425)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 24.62/3.52 % (31425)Termination reason: Unknown
% 24.62/3.52 % (31425)Termination phase: Saturation
% 24.62/3.52
% 24.62/3.52 % (31425)Memory used [KB]: 6396
% 24.62/3.52 % (31425)Time elapsed: 0.061 s
% 24.62/3.52 % (31425)Instructions burned: 285 (million)
% 24.62/3.52 % (31425)------------------------------
% 24.62/3.52 % (31425)------------------------------
% 24.76/3.53 % (31427)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 theBenchmark for (2968ds/4528Mi)
% 24.76/3.55 % (31427)Refutation not found, incomplete strategy
% 24.76/3.55 % (31427)------------------------------
% 24.76/3.55 % (31427)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 24.76/3.55 % (31427)Termination reason: Refutation not found, incomplete strategy
% 24.76/3.55
% 24.76/3.55
% 24.76/3.55 % (31427)Memory used [KB]: 1791
% 24.76/3.55 % (31427)Time elapsed: 0.017 s
% 24.76/3.55 % (31427)Instructions burned: 60 (million)
% 24.76/3.55 % (31427)------------------------------
% 24.76/3.55 % (31427)------------------------------
% 24.76/3.56 % (31428)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 theBenchmark for (2968ds/1001Mi)
% 24.76/3.56 % (31423)Instruction limit reached!
% 24.76/3.56 % (31423)------------------------------
% 24.76/3.56 % (31423)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 24.76/3.56 % (31423)Termination reason: Unknown
% 24.76/3.56 % (31423)Termination phase: Saturation
% 24.76/3.56
% 24.76/3.56 % (31423)Memory used [KB]: 6524
% 24.76/3.56 % (31423)Time elapsed: 0.131 s
% 24.76/3.56 % (31423)Instructions burned: 401 (million)
% 24.76/3.56 % (31423)------------------------------
% 24.76/3.56 % (31423)------------------------------
% 24.76/3.58 % (31429)lrs+1002_1:1_au=on:cbe=off:cnfonf=conj_eager:cond=on:hi=on:i=102:si=on:rtra=on_0 on theBenchmark for (2968ds/102Mi)
% 24.76/3.61 % (31429)Instruction limit reached!
% 24.76/3.61 % (31429)------------------------------
% 24.76/3.61 % (31429)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 24.76/3.61 % (31429)Termination reason: Unknown
% 24.76/3.61 % (31429)Termination phase: Property scanning
% 24.76/3.61
% 24.76/3.61 % (31429)Memory used [KB]: 1791
% 24.76/3.61 % (31429)Time elapsed: 0.039 s
% 24.76/3.61 % (31429)Instructions burned: 102 (million)
% 24.76/3.61 % (31429)------------------------------
% 24.76/3.61 % (31429)------------------------------
% 25.26/3.63 % (31430)ott+1010_3:1_nm=20:s2a=on:s2at=3.0:sp=const_frequency:i=952:si=on:rtra=on_0 on theBenchmark for (2967ds/952Mi)
% 25.26/3.64 % (31426)Instruction limit reached!
% 25.26/3.64 % (31426)------------------------------
% 25.26/3.64 % (31426)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 25.26/3.64 % (31426)Termination reason: Unknown
% 25.26/3.64 % (31426)Termination phase: Saturation
% 25.26/3.64
% 25.26/3.64 % (31426)Memory used [KB]: 6908
% 25.26/3.64 % (31426)Time elapsed: 0.172 s
% 25.26/3.64 % (31426)Instructions burned: 865 (million)
% 25.26/3.64 % (31426)------------------------------
% 25.26/3.64 % (31426)------------------------------
% 25.26/3.65 % (31431)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 theBenchmark for (2967ds/578Mi)
% 25.26/3.66 % (31420)Instruction limit reached!
% 25.26/3.66 % (31420)------------------------------
% 25.26/3.66 % (31420)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 25.26/3.66 % (31420)Termination reason: Unknown
% 25.26/3.66 % (31420)Termination phase: Saturation
% 25.26/3.66
% 25.26/3.66 % (31420)Memory used [KB]: 7164
% 25.26/3.66 % (31420)Time elapsed: 0.385 s
% 25.26/3.66 % (31420)Instructions burned: 1672 (million)
% 25.26/3.66 % (31420)------------------------------
% 25.26/3.66 % (31420)------------------------------
% 25.26/3.66 % (31432)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 theBenchmark for (2966ds/643Mi)
% 25.26/3.67 % (31407)Instruction limit reached!
% 25.26/3.67 % (31407)------------------------------
% 25.26/3.67 % (31407)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 25.26/3.67 % (31407)Termination reason: Unknown
% 25.26/3.67 % (31407)Termination phase: Saturation
% 25.26/3.67
% 25.26/3.67 % (31407)Memory used [KB]: 6908
% 25.26/3.67 % (31407)Time elapsed: 0.843 s
% 25.26/3.67 % (31407)Instructions burned: 3374 (million)
% 25.26/3.67 % (31407)------------------------------
% 25.26/3.67 % (31407)------------------------------
% 25.26/3.69 % (31433)lrs+1010_1:1_cnfonf=off:ntd=on:nwc=3.0:s2a=on:sp=const_frequency:i=865:si=on:rtra=on_0 on theBenchmark for (2966ds/865Mi)
% 26.03/3.74 % (31392)Instruction limit reached!
% 26.03/3.74 % (31392)------------------------------
% 26.03/3.74 % (31392)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 26.03/3.74 % (31392)Termination reason: Unknown
% 26.03/3.74 % (31392)Termination phase: Saturation
% 26.03/3.74
% 26.03/3.74 % (31392)Memory used [KB]: 9978
% 26.03/3.74 % (31392)Time elapsed: 1.366 s
% 26.03/3.74 % (31392)Instructions burned: 5412 (million)
% 26.03/3.74 % (31392)------------------------------
% 26.03/3.74 % (31392)------------------------------
% 26.03/3.75 % (31434)lrs+10_1:1_au=on:erd=off:s2a=on:s2at=3.0:sos=all:i=1174:si=on:rtra=on_0 on theBenchmark for (2966ds/1174Mi)
% 26.17/3.76 % (31428)Instruction limit reached!
% 26.17/3.76 % (31428)------------------------------
% 26.17/3.76 % (31428)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 26.17/3.76 % (31428)Termination reason: Unknown
% 26.17/3.76 % (31428)Termination phase: Saturation
% 26.17/3.76
% 26.17/3.76 % (31428)Memory used [KB]: 6780
% 26.17/3.76 % (31428)Time elapsed: 0.210 s
% 26.17/3.76 % (31428)Instructions burned: 1002 (million)
% 26.17/3.76 % (31428)------------------------------
% 26.17/3.76 % (31428)------------------------------
% 26.38/3.77 % (31435)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 theBenchmark for (2965ds/644Mi)
% 26.38/3.79 % (31432)Instruction limit reached!
% 26.38/3.79 % (31432)------------------------------
% 26.38/3.79 % (31432)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 26.38/3.79 % (31432)Termination reason: Unknown
% 26.38/3.79 % (31432)Termination phase: Saturation
% 26.38/3.79
% 26.38/3.79 % (31432)Memory used [KB]: 6780
% 26.38/3.79 % (31432)Time elapsed: 0.130 s
% 26.38/3.79 % (31432)Instructions burned: 646 (million)
% 26.38/3.79 % (31432)------------------------------
% 26.38/3.79 % (31432)------------------------------
% 26.38/3.80 % (31436)lrs+10_1:1_alpa=true:au=on:cs=on:tgt=ground:i=1201:si=on:rtra=on_0 on theBenchmark for (2965ds/1201Mi)
% 27.50/3.83 % (31431)Instruction limit reached!
% 27.50/3.83 % (31431)------------------------------
% 27.50/3.83 % (31431)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 27.50/3.83 % (31431)Termination reason: Unknown
% 27.50/3.83 % (31431)Termination phase: Saturation
% 27.50/3.83
% 27.50/3.83 % (31431)Memory used [KB]: 6908
% 27.50/3.83 % (31431)Time elapsed: 0.178 s
% 27.50/3.83 % (31431)Instructions burned: 579 (million)
% 27.50/3.83 % (31431)------------------------------
% 27.50/3.83 % (31431)------------------------------
% 27.70/3.84 % (31437)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 theBenchmark for (2965ds/1046Mi)
% 27.70/3.88 % (31433)Instruction limit reached!
% 27.70/3.88 % (31433)------------------------------
% 27.70/3.88 % (31433)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 27.70/3.88 % (31433)Termination reason: Unknown
% 27.70/3.88 % (31433)Termination phase: Saturation
% 27.70/3.88
% 27.70/3.88 % (31433)Memory used [KB]: 6908
% 27.70/3.88 % (31433)Time elapsed: 0.184 s
% 27.70/3.88 % (31433)Instructions burned: 869 (million)
% 27.70/3.88 % (31433)------------------------------
% 27.70/3.88 % (31433)------------------------------
% 27.70/3.89 % (31438)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 theBenchmark for (2964ds/222Mi)
% 27.70/3.90 % (31435)Instruction limit reached!
% 27.70/3.90 % (31435)------------------------------
% 27.70/3.90 % (31435)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 27.70/3.90 % (31435)Termination reason: Unknown
% 27.70/3.90 % (31435)Termination phase: Saturation
% 27.70/3.90
% 27.70/3.90 % (31435)Memory used [KB]: 6908
% 27.70/3.90 % (31435)Time elapsed: 0.131 s
% 27.70/3.90 % (31435)Instructions burned: 645 (million)
% 27.70/3.90 % (31435)------------------------------
% 27.70/3.90 % (31435)------------------------------
% 27.70/3.91 % (31439)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 theBenchmark for (2964ds/68Mi)
% 27.70/3.91 % (31430)Instruction limit reached!
% 27.70/3.91 % (31430)------------------------------
% 27.70/3.91 % (31430)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 27.70/3.91 % (31430)Termination reason: Unknown
% 27.70/3.91 % (31430)Termination phase: Saturation
% 27.70/3.91
% 27.70/3.91 % (31430)Memory used [KB]: 6780
% 27.70/3.91 % (31430)Time elapsed: 0.284 s
% 27.70/3.91 % (31430)Instructions burned: 954 (million)
% 27.70/3.91 % (31430)------------------------------
% 27.70/3.91 % (31430)------------------------------
% 27.70/3.92 % (31440)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 theBenchmark for (2964ds/454Mi)
% 27.70/3.93 % (31439)Instruction limit reached!
% 27.70/3.93 % (31439)------------------------------
% 27.70/3.93 % (31439)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 27.70/3.93 % (31439)Termination reason: Unknown
% 27.70/3.93 % (31439)Termination phase: Function definition elimination
% 27.70/3.93
% 27.70/3.93 % (31439)Memory used [KB]: 1791
% 27.70/3.93 % (31439)Time elapsed: 0.017 s
% 27.70/3.93 % (31439)Instructions burned: 68 (million)
% 27.70/3.93 % (31439)------------------------------
% 27.70/3.93 % (31439)------------------------------
% 27.70/3.93 % (31441)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 theBenchmark for (2964ds/360Mi)
% 28.33/3.95 % (31438)Instruction limit reached!
% 28.33/3.95 % (31438)------------------------------
% 28.33/3.95 % (31438)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 28.33/3.95 % (31438)Termination reason: Unknown
% 28.33/3.95 % (31438)Termination phase: Saturation
% 28.33/3.95
% 28.33/3.95 % (31438)Memory used [KB]: 6396
% 28.33/3.95 % (31438)Time elapsed: 0.064 s
% 28.33/3.95 % (31438)Instructions burned: 224 (million)
% 28.33/3.95 % (31438)------------------------------
% 28.33/3.95 % (31438)------------------------------
% 28.33/3.96 % (31442)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 theBenchmark for (2964ds/157Mi)
% 28.33/3.97 % (31434)Instruction limit reached!
% 28.33/3.97 % (31434)------------------------------
% 28.33/3.97 % (31434)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 28.33/3.98 % (31434)Termination reason: Unknown
% 28.33/3.98 % (31434)Termination phase: Saturation
% 28.33/3.98
% 28.33/3.98 % (31434)Memory used [KB]: 6908
% 28.33/3.98 % (31434)Time elapsed: 0.227 s
% 28.33/3.98 % (31434)Instructions burned: 1179 (million)
% 28.33/3.98 % (31434)------------------------------
% 28.33/3.98 % (31434)------------------------------
% 28.33/3.98 % (31443)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 theBenchmark for (2963ds/5061Mi)
% 28.63/4.00 % (31442)Instruction limit reached!
% 28.63/4.00 % (31442)------------------------------
% 28.63/4.00 % (31442)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 28.63/4.00 % (31442)Termination reason: Unknown
% 28.63/4.00 % (31442)Termination phase: Property scanning
% 28.63/4.00
% 28.63/4.00 % (31442)Memory used [KB]: 1791
% 28.63/4.00 % (31442)Time elapsed: 0.036 s
% 28.63/4.00 % (31442)Instructions burned: 158 (million)
% 28.63/4.00 % (31442)------------------------------
% 28.63/4.00 % (31442)------------------------------
% 28.63/4.01 % (31444)lrs+1002_1:8_av=off:fd=off:hud=5:tnu=1:i=2401:si=on:rtra=on_0 on theBenchmark for (2963ds/2401Mi)
% 28.63/4.01 % (31441)Instruction limit reached!
% 28.63/4.01 % (31441)------------------------------
% 28.63/4.01 % (31441)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 28.63/4.01 % (31441)Termination reason: Unknown
% 28.63/4.01 % (31441)Termination phase: Saturation
% 28.63/4.01
% 28.63/4.01 % (31441)Memory used [KB]: 6524
% 28.63/4.01 % (31441)Time elapsed: 0.075 s
% 28.63/4.01 % (31441)Instructions burned: 362 (million)
% 28.63/4.01 % (31441)------------------------------
% 28.63/4.01 % (31441)------------------------------
% 28.63/4.02 % (31445)dis+10_1:1_av=off:e2e=on:nm=4:s2a=on:i=5798:si=on:rtra=on_0 on theBenchmark for (2963ds/5798Mi)
% 28.63/4.04 % (31437)Instruction limit reached!
% 28.63/4.04 % (31437)------------------------------
% 28.63/4.04 % (31437)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 28.63/4.04 % (31437)Termination reason: Unknown
% 28.63/4.04 % (31437)Termination phase: Saturation
% 28.63/4.04
% 28.63/4.04 % (31437)Memory used [KB]: 7036
% 28.63/4.04 % (31437)Time elapsed: 0.209 s
% 28.63/4.04 % (31437)Instructions burned: 1046 (million)
% 28.63/4.04 % (31437)------------------------------
% 28.63/4.04 % (31437)------------------------------
% 28.63/4.05 % (31440)Instruction limit reached!
% 28.63/4.05 % (31440)------------------------------
% 28.63/4.05 % (31440)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 28.63/4.05 % (31440)Termination reason: Unknown
% 28.63/4.05 % (31440)Termination phase: Saturation
% 28.63/4.05
% 28.63/4.05 % (31440)Memory used [KB]: 11001
% 28.63/4.05 % (31440)Time elapsed: 0.125 s
% 28.63/4.05 % (31440)Instructions burned: 455 (million)
% 28.63/4.05 % (31440)------------------------------
% 28.63/4.05 % (31440)------------------------------
% 28.63/4.05 % (31446)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 theBenchmark for (2963ds/346Mi)
% 28.63/4.05 % (31447)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 theBenchmark for (2963ds/1321Mi)
% 29.29/4.08 % (31447)Refutation not found, incomplete strategy
% 29.29/4.08 % (31447)------------------------------
% 29.29/4.08 % (31447)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 29.29/4.08 % (31447)Termination reason: Refutation not found, incomplete strategy
% 29.29/4.08
% 29.29/4.08
% 29.29/4.08 % (31447)Memory used [KB]: 1791
% 29.29/4.08 % (31447)Time elapsed: 0.022 s
% 29.29/4.08 % (31447)Instructions burned: 74 (million)
% 29.29/4.08 % (31447)------------------------------
% 29.29/4.08 % (31447)------------------------------
% 29.29/4.08 % (31448)lrs+10_1:1_cnfonf=lazy_gen:kws=inv_precedence:nwc=10.0:i=1312:si=on:rtra=on_0 on theBenchmark for (2962ds/1312Mi)
% 29.44/4.12 % (31446)Instruction limit reached!
% 29.44/4.12 % (31446)------------------------------
% 29.44/4.12 % (31446)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 29.44/4.12 % (31446)Termination reason: Unknown
% 29.44/4.12 % (31446)Termination phase: Saturation
% 29.44/4.12
% 29.44/4.12 % (31446)Memory used [KB]: 6396
% 29.44/4.12 % (31446)Time elapsed: 0.072 s
% 29.44/4.12 % (31446)Instructions burned: 347 (million)
% 29.44/4.12 % (31446)------------------------------
% 29.44/4.12 % (31446)------------------------------
% 29.44/4.13 % (31449)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 theBenchmark for (2962ds/672Mi)
% 29.63/4.16 % (31436)Instruction limit reached!
% 29.63/4.16 % (31436)------------------------------
% 29.63/4.16 % (31436)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 29.63/4.16 % (31436)Termination reason: Unknown
% 29.63/4.16 % (31436)Termination phase: Saturation
% 29.63/4.16
% 29.63/4.16 % (31436)Memory used [KB]: 10618
% 29.63/4.16 % (31436)Time elapsed: 0.365 s
% 29.63/4.16 % (31436)Instructions burned: 1202 (million)
% 29.63/4.17 % (31436)------------------------------
% 29.63/4.17 % (31436)------------------------------
% 29.63/4.17 % (31450)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 theBenchmark for (2961ds/1897Mi)
% 30.00/4.32 % (31449)Instruction limit reached!
% 30.00/4.32 % (31449)------------------------------
% 30.00/4.32 % (31449)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 30.00/4.32 % (31449)Termination reason: Unknown
% 30.00/4.32 % (31449)Termination phase: Saturation
% 30.00/4.32
% 30.00/4.32 % (31449)Memory used [KB]: 8059
% 30.00/4.32 % (31449)Time elapsed: 0.193 s
% 30.00/4.32 % (31449)Instructions burned: 674 (million)
% 30.00/4.32 % (31449)------------------------------
% 30.00/4.32 % (31449)------------------------------
% 30.00/4.33 % (31451)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 theBenchmark for (2960ds/1202Mi)
% 30.00/4.34 % (31448)Instruction limit reached!
% 30.00/4.34 % (31448)------------------------------
% 30.00/4.34 % (31448)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 30.00/4.34 % (31448)Termination reason: Unknown
% 30.00/4.34 % (31448)Termination phase: Saturation
% 30.00/4.34
% 30.00/4.34 % (31448)Memory used [KB]: 7164
% 30.00/4.34 % (31448)Time elapsed: 0.258 s
% 30.00/4.34 % (31448)Instructions burned: 1315 (million)
% 30.00/4.34 % (31448)------------------------------
% 30.00/4.34 % (31448)------------------------------
% 30.00/4.35 % (31452)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 theBenchmark for (2960ds/1493Mi)
% 33.60/4.63 % (31450)Instruction limit reached!
% 33.60/4.63 % (31450)------------------------------
% 33.60/4.63 % (31450)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 33.60/4.63 % (31450)Termination reason: Unknown
% 33.60/4.63 % (31450)Termination phase: Saturation
% 33.60/4.63
% 33.60/4.63 % (31450)Memory used [KB]: 7803
% 33.60/4.63 % (31450)Time elapsed: 0.460 s
% 33.60/4.63 % (31450)Instructions burned: 1899 (million)
% 33.60/4.63 % (31450)------------------------------
% 33.60/4.63 % (31450)------------------------------
% 34.10/4.64 % (31453)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 theBenchmark for (2957ds/7679Mi)
% 34.10/4.64 % (31444)Instruction limit reached!
% 34.10/4.64 % (31444)------------------------------
% 34.10/4.64 % (31444)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 34.10/4.64 % (31444)Termination reason: Unknown
% 34.10/4.64 % (31444)Termination phase: Saturation
% 34.10/4.64
% 34.10/4.64 % (31444)Memory used [KB]: 2302
% 34.10/4.64 % (31444)Time elapsed: 0.623 s
% 34.10/4.64 % (31444)Instructions burned: 2403 (million)
% 34.10/4.64 % (31444)------------------------------
% 34.10/4.64 % (31444)------------------------------
% 34.10/4.65 % (31454)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 theBenchmark for (2957ds/340Mi)
% 34.24/4.69 % (31380)Instruction limit reached!
% 34.24/4.69 % (31380)------------------------------
% 34.24/4.69 % (31380)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 34.24/4.69 % (31380)Termination reason: Unknown
% 34.24/4.69 % (31380)Termination phase: Saturation
% 34.24/4.69
% 34.24/4.69 % (31380)Memory used [KB]: 17782
% 34.24/4.69 % (31380)Time elapsed: 3.023 s
% 34.24/4.69 % (31380)Instructions burned: 8250 (million)
% 34.24/4.69 % (31380)------------------------------
% 34.24/4.69 % (31380)------------------------------
% 34.24/4.71 % (31455)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 theBenchmark for (2956ds/3672Mi)
% 34.57/4.72 % (31454)Instruction limit reached!
% 34.57/4.72 % (31454)------------------------------
% 34.57/4.72 % (31454)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 34.57/4.72 % (31454)Termination reason: Unknown
% 34.57/4.72 % (31454)Termination phase: Saturation
% 34.57/4.72
% 34.57/4.72 % (31454)Memory used [KB]: 6396
% 34.57/4.72 % (31454)Time elapsed: 0.073 s
% 34.57/4.72 % (31454)Instructions burned: 341 (million)
% 34.57/4.72 % (31454)------------------------------
% 34.57/4.72 % (31454)------------------------------
% 34.57/4.73 % (31456)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 theBenchmark for (2956ds/1535Mi)
% 34.83/4.76 % (31451)Instruction limit reached!
% 34.83/4.76 % (31451)------------------------------
% 34.83/4.76 % (31451)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 34.83/4.76 % (31451)Termination reason: Unknown
% 34.83/4.76 % (31451)Termination phase: Saturation
% 34.83/4.76
% 34.83/4.76 % (31451)Memory used [KB]: 2814
% 34.83/4.76 % (31451)Time elapsed: 0.435 s
% 34.83/4.76 % (31451)Instructions burned: 1204 (million)
% 34.83/4.76 % (31451)------------------------------
% 34.83/4.76 % (31451)------------------------------
% 34.83/4.78 % (31457)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 theBenchmark for (2955ds/4637Mi)
% 34.83/4.78 % (31452)Instruction limit reached!
% 34.83/4.78 % (31452)------------------------------
% 34.83/4.78 % (31452)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 34.83/4.78 % (31452)Termination reason: Unknown
% 34.83/4.78 % (31452)Termination phase: Saturation
% 34.83/4.78
% 34.83/4.78 % (31452)Memory used [KB]: 7164
% 34.83/4.78 % (31452)Time elapsed: 0.437 s
% 34.83/4.78 % (31452)Instructions burned: 1494 (million)
% 34.83/4.78 % (31452)------------------------------
% 34.83/4.78 % (31452)------------------------------
% 34.83/4.79 % (31458)lrs+10_1:1_fde=unused:prag=on:sd=2:sgt=32:ss=axioms:i=3174:si=on:rtra=on_0 on theBenchmark for (2955ds/3174Mi)
% 35.25/4.93 % (31443)Instruction limit reached!
% 35.25/4.93 % (31443)------------------------------
% 35.25/4.93 % (31443)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 35.25/4.93 % (31443)Termination reason: Unknown
% 35.25/4.93 % (31443)Termination phase: Saturation
% 35.25/4.93
% 35.25/4.93 % (31443)Memory used [KB]: 7164
% 35.25/4.93 % (31443)Time elapsed: 0.947 s
% 35.25/4.93 % (31443)Instructions burned: 5066 (million)
% 35.25/4.93 % (31443)------------------------------
% 35.25/4.93 % (31443)------------------------------
% 35.25/4.94 % (31459)lrs+1010_1:10_au=on:bd=off:cnfonf=lazy_pi_sigma_gen:sp=occurrence:i=307:si=on:rtra=on_0 on theBenchmark for (2954ds/307Mi)
% 36.72/5.00 % (31459)Instruction limit reached!
% 36.72/5.00 % (31459)------------------------------
% 36.72/5.00 % (31459)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 36.72/5.00 % (31459)Termination reason: Unknown
% 36.72/5.00 % (31459)Termination phase: Saturation
% 36.72/5.00
% 36.72/5.00 % (31459)Memory used [KB]: 6396
% 36.72/5.00 % (31459)Time elapsed: 0.066 s
% 36.72/5.00 % (31459)Instructions burned: 310 (million)
% 36.72/5.00 % (31459)------------------------------
% 36.72/5.00 % (31459)------------------------------
% 36.72/5.01 % (31460)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 theBenchmark for (2953ds/3619Mi)
% 37.17/5.03 % (31460)Refutation not found, incomplete strategy
% 37.17/5.03 % (31460)------------------------------
% 37.17/5.03 % (31460)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 37.17/5.03 % (31460)Termination reason: Refutation not found, incomplete strategy
% 37.17/5.03
% 37.17/5.03
% 37.17/5.03 % (31460)Memory used [KB]: 6268
% 37.17/5.03 % (31460)Time elapsed: 0.020 s
% 37.17/5.03 % (31460)Instructions burned: 70 (million)
% 37.17/5.03 % (31460)------------------------------
% 37.17/5.03 % (31460)------------------------------
% 37.17/5.04 % (31461)lrs+1002_1:1_au=on:cbe=off:fde=none:ins=1:sp=const_max:i=2325:si=on:rtra=on_0 on theBenchmark for (2953ds/2325Mi)
% 37.17/5.05 % (31456)Instruction limit reached!
% 37.17/5.05 % (31456)------------------------------
% 37.17/5.05 % (31456)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 37.17/5.05 % (31456)Termination reason: Unknown
% 37.17/5.05 % (31456)Termination phase: Saturation
% 37.17/5.05
% 37.17/5.05 % (31456)Memory used [KB]: 8827
% 37.17/5.05 % (31456)Time elapsed: 0.317 s
% 37.17/5.05 % (31456)Instructions burned: 1536 (million)
% 37.17/5.05 % (31456)------------------------------
% 37.17/5.05 % (31456)------------------------------
% 37.42/5.07 % (31462)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 theBenchmark for (2953ds/2341Mi)
% 37.42/5.11 % (31445)Instruction limit reached!
% 37.42/5.11 % (31445)------------------------------
% 37.42/5.11 % (31445)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 37.42/5.11 % (31445)Termination reason: Unknown
% 37.42/5.11 % (31445)Termination phase: Saturation
% 37.42/5.11
% 37.42/5.11 % (31445)Memory used [KB]: 2430
% 37.42/5.11 % (31445)Time elapsed: 1.093 s
% 37.42/5.11 % (31445)Instructions burned: 5799 (million)
% 37.42/5.11 % (31445)------------------------------
% 37.42/5.11 % (31445)------------------------------
% 37.42/5.12 % (31463)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 theBenchmark for (2952ds/7257Mi)
% 41.37/5.56 % (31462)Instruction limit reached!
% 41.37/5.56 % (31462)------------------------------
% 41.37/5.56 % (31462)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 41.37/5.56 % (31462)Termination reason: Unknown
% 41.37/5.56 % (31462)Termination phase: Saturation
% 41.37/5.56
% 41.37/5.56 % (31462)Memory used [KB]: 6780
% 41.37/5.56 % (31462)Time elapsed: 0.485 s
% 41.37/5.56 % (31462)Instructions burned: 2342 (million)
% 41.37/5.56 % (31462)------------------------------
% 41.37/5.56 % (31462)------------------------------
% 41.37/5.57 % (31464)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 theBenchmark for (2948ds/3710Mi)
% 41.59/5.60 % (31424)Instruction limit reached!
% 41.59/5.60 % (31424)------------------------------
% 41.59/5.60 % (31424)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 41.59/5.60 % (31424)Termination reason: Unknown
% 41.59/5.60 % (31424)Termination phase: Saturation
% 41.59/5.60
% 41.59/5.60 % (31424)Memory used [KB]: 6908
% 41.59/5.60 % (31424)Time elapsed: 2.163 s
% 41.59/5.60 % (31424)Instructions burned: 6454 (million)
% 41.59/5.60 % (31424)------------------------------
% 41.59/5.60 % (31424)------------------------------
% 41.59/5.61 % (31465)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 theBenchmark for (2947ds/326Mi)
% 41.98/5.65 % (31461)Instruction limit reached!
% 41.98/5.65 % (31461)------------------------------
% 41.98/5.65 % (31461)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 41.98/5.65 % (31461)Termination reason: Unknown
% 41.98/5.65 % (31461)Termination phase: Saturation
% 41.98/5.65
% 41.98/5.65 % (31461)Memory used [KB]: 11513
% 41.98/5.65 % (31461)Time elapsed: 0.614 s
% 41.98/5.65 % (31461)Instructions burned: 2325 (million)
% 41.98/5.65 % (31461)------------------------------
% 41.98/5.65 % (31461)------------------------------
% 41.98/5.66 % (31466)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 theBenchmark for (2947ds/1100Mi)
% 41.98/5.67 % (31458)Instruction limit reached!
% 41.98/5.67 % (31458)------------------------------
% 41.98/5.67 % (31458)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 41.98/5.67 % (31458)Termination reason: Unknown
% 41.98/5.67 % (31458)Termination phase: Saturation
% 41.98/5.67
% 41.98/5.67 % (31458)Memory used [KB]: 14711
% 41.98/5.67 % (31458)Time elapsed: 0.884 s
% 41.98/5.67 % (31458)Instructions burned: 3174 (million)
% 41.98/5.67 % (31458)------------------------------
% 41.98/5.67 % (31458)------------------------------
% 41.98/5.68 % (31467)lrs+10_1:1_au=on:cnfonf=off:fde=unused:kws=precedence:tgt=full:i=406:si=on:rtra=on_0 on theBenchmark for (2946ds/406Mi)
% 42.33/5.73 % (31465)Instruction limit reached!
% 42.33/5.73 % (31465)------------------------------
% 42.33/5.73 % (31465)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 42.33/5.73 % (31465)Termination reason: Unknown
% 42.33/5.73 % (31465)Termination phase: Saturation
% 42.33/5.73
% 42.33/5.73 % (31465)Memory used [KB]: 6524
% 42.33/5.73 % (31465)Time elapsed: 0.122 s
% 42.33/5.73 % (31465)Instructions burned: 327 (million)
% 42.33/5.73 % (31465)------------------------------
% 42.33/5.73 % (31465)------------------------------
% 42.33/5.75 % (31468)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 theBenchmark for (2946ds/1871Mi)
% 42.66/5.82 % (31455)Instruction limit reached!
% 42.66/5.82 % (31455)------------------------------
% 42.66/5.82 % (31455)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 42.66/5.82 % (31455)Termination reason: Unknown
% 42.66/5.82 % (31455)Termination phase: Saturation
% 42.66/5.82
% 42.66/5.82 % (31455)Memory used [KB]: 6780
% 42.66/5.82 % (31455)Time elapsed: 1.117 s
% 42.66/5.82 % (31455)Instructions burned: 3672 (million)
% 42.66/5.82 % (31455)------------------------------
% 42.66/5.82 % (31455)------------------------------
% 42.66/5.83 % (31467)Instruction limit reached!
% 42.66/5.83 % (31467)------------------------------
% 42.66/5.83 % (31467)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 42.66/5.83 % (31467)Termination reason: Unknown
% 42.66/5.83 % (31467)Termination phase: Saturation
% 42.66/5.83
% 42.66/5.83 % (31467)Memory used [KB]: 7931
% 42.66/5.83 % (31467)Time elapsed: 0.151 s
% 42.66/5.83 % (31467)Instructions burned: 406 (million)
% 42.66/5.83 % (31467)------------------------------
% 42.66/5.83 % (31467)------------------------------
% 42.66/5.83 % (31469)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 theBenchmark for (2945ds/1194Mi)
% 42.66/5.84 % (31470)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 theBenchmark for (2945ds/474Mi)
% 43.16/5.87 % (31466)Instruction limit reached!
% 43.16/5.87 % (31466)------------------------------
% 43.16/5.87 % (31466)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 43.16/5.87 % (31466)Termination reason: Unknown
% 43.16/5.87 % (31466)Termination phase: Saturation
% 43.16/5.87
% 43.16/5.87 % (31466)Memory used [KB]: 7291
% 43.16/5.87 % (31466)Time elapsed: 0.215 s
% 43.16/5.87 % (31466)Instructions burned: 1102 (million)
% 43.16/5.87 % (31466)------------------------------
% 43.16/5.87 % (31466)------------------------------
% 43.16/5.88 % (31471)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 theBenchmark for (2944ds/3115Mi)
% 43.64/6.00 % (31470)Instruction limit reached!
% 43.64/6.00 % (31470)------------------------------
% 43.64/6.00 % (31470)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 43.64/6.00 % (31470)Termination reason: Unknown
% 43.64/6.00 % (31470)Termination phase: Saturation
% 43.64/6.00
% 43.64/6.00 % (31470)Memory used [KB]: 6524
% 43.64/6.00 % (31470)Time elapsed: 0.156 s
% 43.64/6.00 % (31470)Instructions burned: 476 (million)
% 43.64/6.00 % (31470)------------------------------
% 43.64/6.00 % (31470)------------------------------
% 43.64/6.02 % (31472)dis+10_1:1024_kws=precedence:prag=on:rawr=on:sos=all:sp=unary_first:i=831:si=on:rtra=on_0 on theBenchmark for (2943ds/831Mi)
% 45.13/6.04 % (31457)Instruction limit reached!
% 45.13/6.04 % (31457)------------------------------
% 45.13/6.04 % (31457)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 45.13/6.04 % (31457)Termination reason: Unknown
% 45.13/6.04 % (31457)Termination phase: Saturation
% 45.13/6.04
% 45.13/6.04 % (31457)Memory used [KB]: 6908
% 45.13/6.04 % (31457)Time elapsed: 1.245 s
% 45.13/6.04 % (31457)Instructions burned: 4640 (million)
% 45.13/6.04 % (31457)------------------------------
% 45.13/6.04 % (31457)------------------------------
% 45.13/6.04 % (31473)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 theBenchmark for (2943ds/1188Mi)
% 45.52/6.14 % (31469)Instruction limit reached!
% 45.52/6.14 % (31469)------------------------------
% 45.52/6.14 % (31469)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 45.52/6.14 % (31469)Termination reason: Unknown
% 45.52/6.14 % (31469)Termination phase: Saturation
% 45.52/6.14
% 45.52/6.14 % (31469)Memory used [KB]: 6780
% 45.52/6.14 % (31469)Time elapsed: 0.307 s
% 45.52/6.14 % (31469)Instructions burned: 1194 (million)
% 45.52/6.14 % (31469)------------------------------
% 45.52/6.14 % (31469)------------------------------
% 45.52/6.16 % (31474)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 theBenchmark for (2942ds/2868Mi)
% 46.47/6.23 % (31472)Instruction limit reached!
% 46.47/6.23 % (31472)------------------------------
% 46.47/6.23 % (31472)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 46.47/6.23 % (31472)Termination reason: Unknown
% 46.47/6.23 % (31472)Termination phase: Saturation
% 46.47/6.23
% 46.47/6.23 % (31472)Memory used [KB]: 6908
% 46.47/6.23 % (31472)Time elapsed: 0.213 s
% 46.47/6.23 % (31472)Instructions burned: 835 (million)
% 46.47/6.23 % (31472)------------------------------
% 46.47/6.23 % (31472)------------------------------
% 46.47/6.24 % (31475)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 theBenchmark for (2941ds/1516Mi)
% 46.47/6.28 % (31468)Instruction limit reached!
% 46.47/6.28 % (31468)------------------------------
% 46.47/6.28 % (31468)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 46.47/6.28 % (31468)Termination reason: Unknown
% 46.47/6.28 % (31468)Termination phase: Saturation
% 46.47/6.28
% 46.47/6.28 % (31468)Memory used [KB]: 10874
% 46.47/6.28 % (31468)Time elapsed: 0.557 s
% 46.47/6.28 % (31468)Instructions burned: 1871 (million)
% 46.47/6.28 % (31468)------------------------------
% 46.47/6.28 % (31468)------------------------------
% 46.47/6.29 % (31476)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 theBenchmark for (2940ds/2321Mi)
% 46.47/6.29 % (31473)Instruction limit reached!
% 46.47/6.29 % (31473)------------------------------
% 46.47/6.29 % (31473)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 46.47/6.29 % (31473)Termination reason: Unknown
% 46.47/6.29 % (31473)Termination phase: Saturation
% 46.47/6.29
% 46.47/6.29 % (31473)Memory used [KB]: 7803
% 46.47/6.29 % (31473)Time elapsed: 0.269 s
% 46.47/6.29 % (31473)Instructions burned: 1191 (million)
% 46.47/6.29 % (31473)------------------------------
% 46.47/6.29 % (31473)------------------------------
% 46.47/6.30 % (31477)dis+1010_1:1_au=on:bd=off:bsd=on:ixr=off:sp=const_max:i=2812:si=on:rtra=on_0 on theBenchmark for (2940ds/2812Mi)
% 47.93/6.52 % (31471)Instruction limit reached!
% 47.93/6.52 % (31471)------------------------------
% 47.93/6.52 % (31471)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 47.93/6.52 % (31471)Termination reason: Unknown
% 47.93/6.52 % (31471)Termination phase: Saturation
% 47.93/6.52
% 47.93/6.52 % (31471)Memory used [KB]: 7931
% 47.93/6.52 % (31471)Time elapsed: 0.639 s
% 47.93/6.52 % (31471)Instructions burned: 3119 (million)
% 47.93/6.52 % (31471)------------------------------
% 47.93/6.52 % (31471)------------------------------
% 47.93/6.52 % (31478)dis+1002_8:1_bd=off:sd=1:sgt=16:ss=axioms:i=4604:si=on:rtra=on_0 on theBenchmark for (2938ds/4604Mi)
% 49.19/6.61 % (31475)Instruction limit reached!
% 49.19/6.61 % (31475)------------------------------
% 49.19/6.61 % (31475)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 49.19/6.61 % (31475)Termination reason: Unknown
% 49.19/6.61 % (31475)Termination phase: Saturation
% 49.19/6.61
% 49.19/6.61 % (31475)Memory used [KB]: 7675
% 49.19/6.61 % (31475)Time elapsed: 0.370 s
% 49.19/6.61 % (31475)Instructions burned: 1519 (million)
% 49.19/6.61 % (31475)------------------------------
% 49.19/6.61 % (31475)------------------------------
% 49.19/6.61 % (31479)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 theBenchmark for (2937ds/2678Mi)
% 49.87/6.68 % (31464)Instruction limit reached!
% 49.87/6.68 % (31464)------------------------------
% 49.87/6.68 % (31464)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 49.87/6.68 % (31464)Termination reason: Unknown
% 49.87/6.68 % (31464)Termination phase: Saturation
% 49.87/6.68
% 49.87/6.68 % (31464)Memory used [KB]: 9466
% 49.87/6.68 % (31464)Time elapsed: 1.112 s
% 49.87/6.68 % (31464)Instructions burned: 3710 (million)
% 49.87/6.68 % (31464)------------------------------
% 49.87/6.68 % (31464)------------------------------
% 49.87/6.69 % (31480)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 theBenchmark for (2936ds/643Mi)
% 50.81/6.78 % (31476)Instruction limit reached!
% 50.81/6.78 % (31476)------------------------------
% 50.81/6.78 % (31476)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 50.81/6.78 % (31476)Termination reason: Unknown
% 50.81/6.78 % (31476)Termination phase: Saturation
% 50.81/6.78
% 50.81/6.78 % (31476)Memory used [KB]: 6908
% 50.81/6.78 % (31476)Time elapsed: 0.490 s
% 50.81/6.78 % (31476)Instructions burned: 2321 (million)
% 50.81/6.78 % (31476)------------------------------
% 50.81/6.78 % (31476)------------------------------
% 50.81/6.79 % (31481)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 theBenchmark for (2935ds/458Mi)
% 50.98/6.82 % (31480)Instruction limit reached!
% 50.98/6.82 % (31480)------------------------------
% 50.98/6.82 % (31480)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 50.98/6.82 % (31480)Termination reason: Unknown
% 50.98/6.82 % (31480)Termination phase: Saturation
% 50.98/6.82
% 50.98/6.82 % (31480)Memory used [KB]: 6780
% 50.98/6.82 % (31480)Time elapsed: 0.132 s
% 50.98/6.82 % (31480)Instructions burned: 647 (million)
% 50.98/6.82 % (31480)------------------------------
% 50.98/6.82 % (31480)------------------------------
% 50.98/6.82 % (31482)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 theBenchmark for (2935ds/2546Mi)
% 50.98/6.83 % (31477)Instruction limit reached!
% 50.98/6.83 % (31477)------------------------------
% 50.98/6.83 % (31477)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 50.98/6.83 % (31477)Termination reason: Unknown
% 50.98/6.83 % (31477)Termination phase: Saturation
% 50.98/6.83
% 50.98/6.83 % (31477)Memory used [KB]: 6780
% 50.98/6.83 % (31477)Time elapsed: 0.528 s
% 50.98/6.83 % (31477)Instructions burned: 2816 (million)
% 50.98/6.83 % (31477)------------------------------
% 50.98/6.83 % (31477)------------------------------
% 51.24/6.83 % (31483)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 theBenchmark for (2935ds/1432Mi)
% 51.65/6.95 % (31481)Instruction limit reached!
% 51.65/6.95 % (31481)------------------------------
% 51.65/6.95 % (31481)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 51.65/6.95 % (31481)Termination reason: Unknown
% 51.65/6.95 % (31481)Termination phase: Saturation
% 51.65/6.95
% 51.65/6.95 % (31481)Memory used [KB]: 6524
% 51.65/6.95 % (31481)Time elapsed: 0.160 s
% 51.65/6.95 % (31481)Instructions burned: 459 (million)
% 51.65/6.95 % (31481)------------------------------
% 51.65/6.95 % (31481)------------------------------
% 51.65/6.97 % (31474)Instruction limit reached!
% 51.65/6.97 % (31474)------------------------------
% 51.65/6.97 % (31474)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 51.65/6.97 % (31474)Termination reason: Unknown
% 51.65/6.97 % (31474)Termination phase: Saturation
% 51.65/6.97
% 51.65/6.97 % (31474)Memory used [KB]: 7036
% 51.65/6.97 % (31474)Time elapsed: 0.833 s
% 51.65/6.97 % (31474)Instructions burned: 2871 (million)
% 51.65/6.97 % (31474)------------------------------
% 51.65/6.97 % (31474)------------------------------
% 51.65/6.97 % (31484)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 theBenchmark for (2933ds/386Mi)
% 51.65/6.97 % (31485)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 theBenchmark for (2933ds/360Mi)
% 52.08/7.04 % (31463)Instruction limit reached!
% 52.08/7.04 % (31463)------------------------------
% 52.08/7.04 % (31463)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 52.08/7.04 % (31463)Termination reason: Unknown
% 52.08/7.04 % (31463)Termination phase: Saturation
% 52.08/7.04
% 52.08/7.04 % (31463)Memory used [KB]: 17142
% 52.08/7.04 % (31463)Time elapsed: 1.922 s
% 52.08/7.04 % (31463)Instructions burned: 7261 (million)
% 52.08/7.04 % (31463)------------------------------
% 52.08/7.04 % (31463)------------------------------
% 52.08/7.05 % (31485)Instruction limit reached!
% 52.08/7.05 % (31485)------------------------------
% 52.08/7.05 % (31485)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 52.08/7.05 % (31485)Termination reason: Unknown
% 52.08/7.05 % (31485)Termination phase: Saturation
% 52.08/7.05
% 52.08/7.05 % (31485)Memory used [KB]: 6396
% 52.08/7.05 % (31485)Time elapsed: 0.076 s
% 52.08/7.05 % (31485)Instructions burned: 363 (million)
% 52.08/7.05 % (31485)------------------------------
% 52.08/7.05 % (31485)------------------------------
% 52.08/7.05 % (31486)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 theBenchmark for (2933ds/5446Mi)
% 52.08/7.06 % (31487)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 theBenchmark for (2933ds/2573Mi)
% 52.37/7.10 % (31484)Instruction limit reached!
% 52.37/7.10 % (31484)------------------------------
% 52.37/7.10 % (31484)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 52.37/7.10 % (31484)Termination reason: Unknown
% 52.37/7.10 % (31484)Termination phase: Saturation
% 52.37/7.10
% 52.37/7.10 % (31484)Memory used [KB]: 6396
% 52.37/7.10 % (31484)Time elapsed: 0.137 s
% 52.37/7.10 % (31484)Instructions burned: 386 (million)
% 52.37/7.10 % (31484)------------------------------
% 52.37/7.10 % (31484)------------------------------
% 52.37/7.11 % (31483)Instruction limit reached!
% 52.37/7.11 % (31483)------------------------------
% 52.37/7.11 % (31483)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 52.37/7.11 % (31483)Termination reason: Unknown
% 52.37/7.11 % (31483)Termination phase: Saturation
% 52.37/7.11
% 52.37/7.11 % (31483)Memory used [KB]: 9978
% 52.37/7.11 % (31483)Time elapsed: 0.281 s
% 52.37/7.11 % (31483)Instructions burned: 1435 (million)
% 52.37/7.11 % (31483)------------------------------
% 52.37/7.11 % (31483)------------------------------
% 53.80/7.12 % (31489)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 theBenchmark for (2932ds/2781Mi)
% 53.80/7.13 % (31488)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 theBenchmark for (2932ds/2655Mi)
% 54.55/7.29 % (31479)Instruction limit reached!
% 54.55/7.29 % (31479)------------------------------
% 54.55/7.29 % (31479)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 54.55/7.29 % (31479)Termination reason: Unknown
% 54.55/7.29 % (31479)Termination phase: Saturation
% 54.55/7.29
% 54.55/7.29 % (31479)Memory used [KB]: 7419
% 54.55/7.29 % (31479)Time elapsed: 0.676 s
% 54.55/7.29 % (31479)Instructions burned: 2679 (million)
% 54.55/7.29 % (31479)------------------------------
% 54.55/7.29 % (31479)------------------------------
% 54.88/7.30 % (31490)lrs+1010_1:10_au=on:bd=off:cnfonf=lazy_pi_sigma_gen:sp=occurrence:i=307:si=on:rtra=on_0 on theBenchmark for (2930ds/307Mi)
% 55.18/7.36 % (31490)Instruction limit reached!
% 55.18/7.36 % (31490)------------------------------
% 55.18/7.36 % (31490)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 55.18/7.36 % (31490)Termination reason: Unknown
% 55.18/7.36 % (31490)Termination phase: Saturation
% 55.18/7.36
% 55.18/7.36 % (31490)Memory used [KB]: 6396
% 55.18/7.36 % (31490)Time elapsed: 0.065 s
% 55.18/7.36 % (31490)Instructions burned: 307 (million)
% 55.18/7.36 % (31490)------------------------------
% 55.18/7.36 % (31490)------------------------------
% 55.18/7.36 % (31482)Instruction limit reached!
% 55.18/7.36 % (31482)------------------------------
% 55.18/7.36 % (31482)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 55.18/7.36 % (31482)Termination reason: Unknown
% 55.18/7.36 % (31482)Termination phase: Saturation
% 55.18/7.36
% 55.18/7.36 % (31482)Memory used [KB]: 7419
% 55.18/7.36 % (31482)Time elapsed: 0.540 s
% 55.18/7.36 % (31482)Instructions burned: 2551 (million)
% 55.18/7.36 % (31482)------------------------------
% 55.18/7.36 % (31482)------------------------------
% 55.18/7.36 % (31453)Instruction limit reached!
% 55.18/7.36 % (31453)------------------------------
% 55.18/7.36 % (31453)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 55.18/7.36 % (31453)Termination reason: Unknown
% 55.18/7.36 % (31453)Termination phase: Saturation
% 55.18/7.36
% 55.18/7.36 % (31453)Memory used [KB]: 13048
% 55.18/7.36 % (31453)Time elapsed: 2.698 s
% 55.18/7.36 % (31453)Instructions burned: 7680 (million)
% 55.18/7.36 % (31453)------------------------------
% 55.18/7.36 % (31453)------------------------------
% 55.18/7.37 % (31491)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 theBenchmark for (2929ds/1548Mi)
% 55.18/7.37 % (31492)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 theBenchmark for (2929ds/5214Mi)
% 55.18/7.38 % (31493)dis+21_1:1_aac=none:bsr=on:nwc=3.0:s2a=on:i=3201:si=on:rtra=on_0 on theBenchmark for (2929ds/3201Mi)
% 56.02/7.60 % (31478)Instruction limit reached!
% 56.02/7.60 % (31478)------------------------------
% 56.02/7.60 % (31478)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 56.02/7.60 % (31478)Termination reason: Unknown
% 56.02/7.60 % (31478)Termination phase: Saturation
% 56.02/7.60
% 56.02/7.60 % (31478)Memory used [KB]: 8699
% 56.02/7.60 % (31478)Time elapsed: 1.072 s
% 56.02/7.60 % (31478)Instructions burned: 4607 (million)
% 56.02/7.60 % (31478)------------------------------
% 56.02/7.60 % (31478)------------------------------
% 56.02/7.60 % (31494)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 theBenchmark for (2927ds/454Mi)
% 58.23/7.70 % (31494)Instruction limit reached!
% 58.23/7.70 % (31494)------------------------------
% 58.23/7.70 % (31494)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 58.23/7.70 % (31494)Termination reason: Unknown
% 58.23/7.70 % (31494)Termination phase: Saturation
% 58.23/7.70
% 58.23/7.70 % (31494)Memory used [KB]: 11257
% 58.23/7.70 % (31494)Time elapsed: 0.095 s
% 58.23/7.70 % (31494)Instructions burned: 456 (million)
% 58.23/7.70 % (31494)------------------------------
% 58.23/7.70 % (31494)------------------------------
% 58.23/7.70 % (31495)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 theBenchmark for (2926ds/3049Mi)
% 58.23/7.71 % (31487)Instruction limit reached!
% 58.23/7.71 % (31487)------------------------------
% 58.23/7.71 % (31487)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 58.23/7.71 % (31487)Termination reason: Unknown
% 58.23/7.71 % (31487)Termination phase: Saturation
% 58.23/7.71
% 58.23/7.71 % (31487)Memory used [KB]: 8571
% 58.23/7.71 % (31487)Time elapsed: 0.659 s
% 58.23/7.71 % (31487)Instructions burned: 2575 (million)
% 58.23/7.71 % (31487)------------------------------
% 58.23/7.71 % (31487)------------------------------
% 58.60/7.74 % (31496)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 theBenchmark for (2926ds/7311Mi)
% 58.60/7.74 % (31491)Instruction limit reached!
% 58.60/7.74 % (31491)------------------------------
% 58.60/7.74 % (31491)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 58.60/7.74 % (31491)Termination reason: Unknown
% 58.60/7.74 % (31491)Termination phase: Saturation
% 58.60/7.74
% 58.60/7.74 % (31491)Memory used [KB]: 7803
% 58.60/7.74 % (31491)Time elapsed: 0.378 s
% 58.60/7.74 % (31491)Instructions burned: 1551 (million)
% 58.60/7.74 % (31491)------------------------------
% 58.60/7.74 % (31491)------------------------------
% 58.60/7.75 % (31489)Instruction limit reached!
% 58.60/7.75 % (31489)------------------------------
% 58.60/7.75 % (31489)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 58.60/7.75 % (31489)Termination reason: Unknown
% 58.60/7.75 % (31489)Termination phase: Saturation
% 58.60/7.75
% 58.60/7.75 % (31489)Memory used [KB]: 2814
% 58.60/7.75 % (31489)Time elapsed: 0.632 s
% 58.60/7.75 % (31489)Instructions burned: 2781 (million)
% 58.60/7.75 % (31489)------------------------------
% 58.60/7.75 % (31489)------------------------------
% 58.60/7.75 % (31497)lrs+1002_1:14_au=on:bd=off:e2e=on:fde=unused:sac=on:sos=on:i=6804:si=on:rtra=on_0 on theBenchmark for (2926ds/6804Mi)
% 58.60/7.76 % (31498)dis+1003_1:1_au=on:bd=preordered:fde=none:ixr=off:nwc=10.0:i=1683:si=on:rtra=on_0 on theBenchmark for (2926ds/1683Mi)
% 58.83/7.77 % (31497)Refutation not found, incomplete strategy
% 58.83/7.77 % (31497)------------------------------
% 58.83/7.77 % (31497)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 58.83/7.77 % (31497)Termination reason: Refutation not found, incomplete strategy
% 58.83/7.77
% 58.83/7.77
% 58.83/7.77 % (31497)Memory used [KB]: 6140
% 58.83/7.77 % (31497)Time elapsed: 0.016 s
% 58.83/7.77 % (31497)Instructions burned: 55 (million)
% 58.83/7.77 % (31497)------------------------------
% 58.83/7.77 % (31497)------------------------------
% 58.83/7.78 % (31499)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 theBenchmark for (2925ds/4688Mi)
% 59.63/7.99 % (31493)Instruction limit reached!
% 59.63/7.99 % (31493)------------------------------
% 59.63/7.99 % (31493)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 59.63/7.99 % (31493)Termination reason: Unknown
% 59.63/7.99 % (31493)Termination phase: Saturation
% 59.63/7.99
% 59.63/7.99 % (31493)Memory used [KB]: 6780
% 59.63/7.99 % (31493)Time elapsed: 0.607 s
% 59.63/7.99 % (31493)Instructions burned: 3202 (million)
% 59.63/7.99 % (31493)------------------------------
% 59.63/7.99 % (31493)------------------------------
% 59.63/7.99 % (31500)dis-1_1:1_amm=off:au=on:cbe=off:spb=intro:i=2207:si=on:rtra=on_0 on theBenchmark for (2923ds/2207Mi)
% 60.00/8.12 % (31486)Instruction limit reached!
% 60.00/8.12 % (31486)------------------------------
% 60.00/8.12 % (31486)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 60.00/8.12 % (31486)Termination reason: Unknown
% 60.00/8.12 % (31486)Termination phase: Saturation
% 60.00/8.12
% 60.00/8.12 % (31486)Memory used [KB]: 6908
% 60.00/8.12 % (31486)Time elapsed: 1.070 s
% 60.00/8.12 % (31486)Instructions burned: 5447 (million)
% 60.00/8.12 % (31486)------------------------------
% 60.00/8.12 % (31486)------------------------------
% 60.00/8.13 % (31501)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 theBenchmark for (2922ds/8216Mi)
% 60.22/8.17 % (31488)Instruction limit reached!
% 60.22/8.17 % (31488)------------------------------
% 60.22/8.17 % (31488)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 60.22/8.17 % (31488)Termination reason: Unknown
% 60.22/8.17 % (31488)Termination phase: Saturation
% 60.22/8.17
% 60.22/8.17 % (31488)Memory used [KB]: 12281
% 60.22/8.17 % (31488)Time elapsed: 1.055 s
% 60.22/8.17 % (31488)Instructions burned: 2656 (million)
% 60.22/8.17 % (31488)------------------------------
% 60.22/8.17 % (31488)------------------------------
% 60.29/8.18 % (31502)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 theBenchmark for (2921ds/430Mi)
% 60.29/8.21 % (31498)Instruction limit reached!
% 60.29/8.21 % (31498)------------------------------
% 60.29/8.21 % (31498)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 60.29/8.21 % (31498)Termination reason: Unknown
% 60.29/8.21 % (31498)Termination phase: Saturation
% 60.29/8.21
% 60.29/8.21 % (31498)Memory used [KB]: 10874
% 60.29/8.21 % (31498)Time elapsed: 0.456 s
% 60.29/8.21 % (31498)Instructions burned: 1684 (million)
% 60.29/8.21 % (31498)------------------------------
% 60.29/8.21 % (31498)------------------------------
% 60.29/8.22 % (31503)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 theBenchmark for (2921ds/2012Mi)
% 63.00/8.33 % (31502)Instruction limit reached!
% 63.00/8.33 % (31502)------------------------------
% 63.00/8.33 % (31502)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 63.00/8.33 % (31502)Termination reason: Unknown
% 63.00/8.33 % (31502)Termination phase: Saturation
% 63.00/8.33
% 63.00/8.33 % (31502)Memory used [KB]: 6524
% 63.00/8.33 % (31502)Time elapsed: 0.152 s
% 63.00/8.33 % (31502)Instructions burned: 432 (million)
% 63.00/8.33 % (31502)------------------------------
% 63.00/8.33 % (31502)------------------------------
% 63.51/8.35 % (31504)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 theBenchmark for (2920ds/631Mi)
% 63.69/8.38 % (31492)Instruction limit reached!
% 63.69/8.38 % (31492)------------------------------
% 63.69/8.38 % (31492)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 63.69/8.38 % (31492)Termination reason: Unknown
% 63.69/8.38 % (31492)Termination phase: Saturation
% 63.69/8.38
% 63.69/8.38 % (31492)Memory used [KB]: 7036
% 63.69/8.38 % (31492)Time elapsed: 1.015 s
% 63.69/8.38 % (31492)Instructions burned: 5214 (million)
% 63.69/8.38 % (31492)------------------------------
% 63.69/8.38 % (31492)------------------------------
% 63.69/8.39 % (31505)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 theBenchmark for (2919ds/8785Mi)
% 63.69/8.41 % (31500)Instruction limit reached!
% 63.69/8.41 % (31500)------------------------------
% 63.69/8.41 % (31500)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 63.69/8.41 % (31500)Termination reason: Unknown
% 63.69/8.41 % (31500)Termination phase: Saturation
% 63.69/8.41
% 63.69/8.41 % (31500)Memory used [KB]: 6908
% 63.69/8.41 % (31500)Time elapsed: 0.416 s
% 63.69/8.41 % (31500)Instructions burned: 2210 (million)
% 63.69/8.41 % (31500)------------------------------
% 63.69/8.41 % (31500)------------------------------
% 63.69/8.42 % (31506)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 theBenchmark for (2919ds/739Mi)
% 64.20/8.49 % (31504)Instruction limit reached!
% 64.20/8.49 % (31504)------------------------------
% 64.20/8.49 % (31504)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 64.20/8.49 % (31504)Termination reason: Unknown
% 64.20/8.49 % (31504)Termination phase: Saturation
% 64.20/8.49
% 64.20/8.49 % (31504)Memory used [KB]: 6908
% 64.20/8.49 % (31504)Time elapsed: 0.129 s
% 64.20/8.49 % (31504)Instructions burned: 631 (million)
% 64.20/8.49 % (31504)------------------------------
% 64.20/8.49 % (31504)------------------------------
% 64.20/8.50 % (31507)dis+1002_1:1024_fe=off:hud=5:prag=on:i=5473:si=on:rtra=on_0 on theBenchmark for (2918ds/5473Mi)
% 64.71/8.54 % (31495)Instruction limit reached!
% 64.71/8.54 % (31495)------------------------------
% 64.71/8.54 % (31495)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 64.71/8.54 % (31495)Termination reason: Unknown
% 64.71/8.54 % (31495)Termination phase: Saturation
% 64.71/8.54
% 64.71/8.54 % (31495)Memory used [KB]: 10234
% 64.71/8.54 % (31495)Time elapsed: 0.838 s
% 64.71/8.54 % (31495)Instructions burned: 3050 (million)
% 64.71/8.54 % (31495)------------------------------
% 64.71/8.54 % (31495)------------------------------
% 64.71/8.55 % (31508)lrs+1002_1:1_au=on:bd=off:e2e=on:sd=2:sos=on:ss=axioms:i=43570:si=on:rtra=on_0 on theBenchmark for (2918ds/43570Mi)
% 64.89/8.63 % (31499)Instruction limit reached!
% 64.89/8.63 % (31499)------------------------------
% 64.89/8.63 % (31499)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 64.89/8.63 % (31499)Termination reason: Unknown
% 64.89/8.63 % (31499)Termination phase: Saturation
% 64.89/8.63
% 64.89/8.63 % (31499)Memory used [KB]: 2558
% 64.89/8.63 % (31499)Time elapsed: 0.856 s
% 64.89/8.63 % (31499)Instructions burned: 4688 (million)
% 64.89/8.63 % (31499)------------------------------
% 64.89/8.63 % (31499)------------------------------
% 65.15/8.64 % (31509)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 theBenchmark for (2917ds/8382Mi)
% 65.15/8.64 % (31506)Instruction limit reached!
% 65.15/8.64 % (31506)------------------------------
% 65.15/8.64 % (31506)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 65.15/8.64 % (31506)Termination reason: Unknown
% 65.15/8.64 % (31506)Termination phase: Saturation
% 65.15/8.64
% 65.15/8.64 % (31506)Memory used [KB]: 8059
% 65.15/8.64 % (31506)Time elapsed: 0.248 s
% 65.15/8.64 % (31506)Instructions burned: 742 (million)
% 65.15/8.64 % (31506)------------------------------
% 65.15/8.64 % (31506)------------------------------
% 65.15/8.65 % (31510)dis-30_1:1_acc=on:bd=off:fsr=off:plsq=on:plsqr=32,1:i=407:si=on:rtra=on_0 on theBenchmark for (2917ds/407Mi)
% 65.46/8.67 % (31503)Instruction limit reached!
% 65.46/8.67 % (31503)------------------------------
% 65.46/8.67 % (31503)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 65.46/8.67 % (31503)Termination reason: Unknown
% 65.46/8.67 % (31503)Termination phase: Saturation
% 65.46/8.67
% 65.46/8.67 % (31503)Memory used [KB]: 13944
% 65.46/8.67 % (31503)Time elapsed: 0.448 s
% 65.46/8.67 % (31503)Instructions burned: 2013 (million)
% 65.46/8.67 % (31503)------------------------------
% 65.46/8.67 % (31503)------------------------------
% 65.46/8.68 % (31511)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 theBenchmark for (2916ds/2971Mi)
% 65.61/8.73 % (31510)Instruction limit reached!
% 65.61/8.73 % (31510)------------------------------
% 65.61/8.73 % (31510)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 65.61/8.73 % (31510)Termination reason: Unknown
% 65.61/8.73 % (31510)Termination phase: Saturation
% 65.61/8.73
% 65.61/8.73 % (31510)Memory used [KB]: 6524
% 65.61/8.73 % (31510)Time elapsed: 0.085 s
% 65.61/8.73 % (31510)Instructions burned: 412 (million)
% 65.61/8.73 % (31510)------------------------------
% 65.61/8.73 % (31510)------------------------------
% 65.61/8.74 % (31512)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 theBenchmark for (2916ds/9822Mi)
% 65.61/8.77 % (31512)Refutation not found, incomplete strategy
% 65.61/8.77 % (31512)------------------------------
% 65.61/8.77 % (31512)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 65.61/8.77 % (31512)Termination reason: Refutation not found, incomplete strategy
% 65.61/8.77
% 65.61/8.77
% 65.61/8.77 % (31512)Memory used [KB]: 6396
% 65.61/8.77 % (31512)Time elapsed: 0.049 s
% 65.61/8.77 % (31512)Instructions burned: 84 (million)
% 65.61/8.77 % (31512)------------------------------
% 65.61/8.77 % (31512)------------------------------
% 66.92/8.77 % (31513)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 theBenchmark for (2915ds/8425Mi)
% 70.24/9.30 % (31511)Instruction limit reached!
% 70.24/9.30 % (31511)------------------------------
% 70.24/9.30 % (31511)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 70.24/9.30 % (31511)Termination reason: Unknown
% 70.24/9.30 % (31511)Termination phase: Saturation
% 70.24/9.30
% 70.24/9.30 % (31511)Memory used [KB]: 7036
% 70.24/9.30 % (31511)Time elapsed: 0.646 s
% 70.24/9.30 % (31511)Instructions burned: 2971 (million)
% 70.24/9.30 % (31511)------------------------------
% 70.24/9.30 % (31511)------------------------------
% 70.24/9.31 % (31514)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 theBenchmark for (2910ds/3107Mi)
% 72.89/9.52 % (31507)Instruction limit reached!
% 72.89/9.52 % (31507)------------------------------
% 72.89/9.52 % (31507)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 72.89/9.52 % (31507)Termination reason: Unknown
% 72.89/9.52 % (31507)Termination phase: Saturation
% 72.89/9.52
% 72.89/9.52 % (31507)Memory used [KB]: 6908
% 72.89/9.52 % (31507)Time elapsed: 1.023 s
% 72.89/9.52 % (31507)Instructions burned: 5474 (million)
% 72.89/9.52 % (31507)------------------------------
% 72.89/9.52 % (31507)------------------------------
% 72.89/9.53 % (31515)lrs+1002_1:128_aac=none:au=on:cnfonf=lazy_not_gen_be_off:sos=all:i=7967:si=on:rtra=on_0 on theBenchmark for (2908ds/7967Mi)
% 75.35/9.88 % (31514)Instruction limit reached!
% 75.35/9.88 % (31514)------------------------------
% 75.35/9.88 % (31514)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 75.35/9.88 % (31514)Termination reason: Unknown
% 75.35/9.88 % (31514)Termination phase: Saturation
% 75.35/9.88
% 75.35/9.88 % (31514)Memory used [KB]: 7164
% 75.35/9.88 % (31514)Time elapsed: 0.576 s
% 75.35/9.88 % (31514)Instructions burned: 3108 (million)
% 75.35/9.88 % (31514)------------------------------
% 75.35/9.88 % (31514)------------------------------
% 75.35/9.89 % (31516)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 theBenchmark for (2904ds/3629Mi)
% 76.52/10.04 % (31505)Instruction limit reached!
% 76.52/10.04 % (31505)------------------------------
% 76.52/10.04 % (31505)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 76.52/10.04 % (31505)Termination reason: Unknown
% 76.52/10.04 % (31505)Termination phase: Saturation
% 76.52/10.04
% 76.52/10.04 % (31505)Memory used [KB]: 6908
% 76.52/10.04 % (31505)Time elapsed: 1.645 s
% 76.52/10.04 % (31505)Instructions burned: 8786 (million)
% 76.52/10.04 % (31505)------------------------------
% 76.52/10.04 % (31505)------------------------------
% 76.52/10.04 % (31517)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 theBenchmark for (2903ds/939Mi)
% 77.91/10.22 % (31496)Refutation not found, non-redundant clauses discarded% (31496)------------------------------
% 77.91/10.22 % (31496)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 77.91/10.22 % (31496)Termination reason: Refutation not found, non-redundant clauses discarded
% 77.91/10.22
% 77.91/10.22 % (31496)Memory used [KB]: 26353
% 77.91/10.22 % (31496)Time elapsed: 2.491 s
% 77.91/10.22 % (31496)Instructions burned: 7033 (million)
% 77.91/10.22 % (31496)------------------------------
% 77.91/10.22 % (31496)------------------------------
% 77.91/10.23 % (31517)Instruction limit reached!
% 77.91/10.23 % (31517)------------------------------
% 77.91/10.23 % (31517)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 77.91/10.23 % (31517)Termination reason: Unknown
% 77.91/10.23 % (31517)Termination phase: Saturation
% 77.91/10.23
% 77.91/10.23 % (31517)Memory used [KB]: 6780
% 77.91/10.23 % (31517)Time elapsed: 0.185 s
% 77.91/10.23 % (31517)Instructions burned: 940 (million)
% 77.91/10.23 % (31517)------------------------------
% 77.91/10.23 % (31517)------------------------------
% 77.91/10.23 % (31518)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 theBenchmark for (2901ds/1188Mi)
% 77.91/10.24 % (31519)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 theBenchmark for (2901ds/3205Mi)
% 78.53/10.36 % (31513)Instruction limit reached!
% 78.53/10.36 % (31513)------------------------------
% 78.53/10.36 % (31513)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 78.53/10.36 % (31513)Termination reason: Unknown
% 78.53/10.36 % (31513)Termination phase: Saturation
% 78.53/10.36
% 78.53/10.36 % (31513)Memory used [KB]: 2430
% 78.53/10.36 % (31513)Time elapsed: 1.589 s
% 78.53/10.36 % (31513)Instructions burned: 8429 (million)
% 78.53/10.36 % (31513)------------------------------
% 78.53/10.36 % (31513)------------------------------
% 78.53/10.37 % (31520)lrs+1010_1:1_cnfonf=off:ntd=on:nwc=3.0:s2a=on:sp=const_frequency:i=865:si=on:rtra=on_0 on theBenchmark for (2899ds/865Mi)
% 80.95/10.54 % (31520)Instruction limit reached!
% 80.95/10.54 % (31520)------------------------------
% 80.95/10.54 % (31520)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 80.95/10.54 % (31520)Termination reason: Unknown
% 80.95/10.54 % (31520)Termination phase: Saturation
% 80.95/10.54
% 80.95/10.54 % (31520)Memory used [KB]: 6908
% 80.95/10.54 % (31520)Time elapsed: 0.173 s
% 80.95/10.54 % (31520)Instructions burned: 870 (million)
% 80.95/10.54 % (31520)------------------------------
% 80.95/10.54 % (31520)------------------------------
% 80.95/10.55 % (31521)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 theBenchmark for (2898ds/7469Mi)
% 80.95/10.57 % (31516)Instruction limit reached!
% 80.95/10.57 % (31516)------------------------------
% 80.95/10.57 % (31516)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 80.95/10.57 % (31516)Termination reason: Unknown
% 80.95/10.57 % (31516)Termination phase: Saturation
% 80.95/10.57
% 80.95/10.57 % (31516)Memory used [KB]: 7036
% 80.95/10.57 % (31516)Time elapsed: 0.679 s
% 80.95/10.57 % (31516)Instructions burned: 3634 (million)
% 80.95/10.57 % (31516)------------------------------
% 80.95/10.57 % (31516)------------------------------
% 80.95/10.58 % (31522)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 theBenchmark for (2897ds/4165Mi)
% 81.77/10.67 % (31518)Instruction limit reached!
% 81.77/10.67 % (31518)------------------------------
% 81.77/10.67 % (31518)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 81.77/10.67 % (31518)Termination reason: Unknown
% 81.77/10.67 % (31518)Termination phase: Saturation
% 81.77/10.67
% 81.77/10.67 % (31518)Memory used [KB]: 8059
% 81.77/10.67 % (31518)Time elapsed: 0.426 s
% 81.77/10.67 % (31518)Instructions burned: 1188 (million)
% 81.77/10.67 % (31518)------------------------------
% 81.77/10.67 % (31518)------------------------------
% 81.77/10.69 % (31523)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 theBenchmark for (2896ds/13468Mi)
% 82.20/10.80 % (31501)Instruction limit reached!
% 82.20/10.80 % (31501)------------------------------
% 82.20/10.80 % (31501)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 82.20/10.80 % (31501)Termination reason: Unknown
% 82.20/10.80 % (31501)Termination phase: Saturation
% 82.20/10.80
% 82.20/10.80 % (31501)Memory used [KB]: 6780
% 82.20/10.80 % (31501)Time elapsed: 2.648 s
% 82.20/10.80 % (31501)Instructions burned: 8216 (million)
% 82.20/10.80 % (31501)------------------------------
% 82.20/10.80 % (31501)------------------------------
% 82.20/10.81 % (31524)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 theBenchmark for (2895ds/2635Mi)
% 82.63/10.84 % (31519)Instruction limit reached!
% 82.63/10.84 % (31519)------------------------------
% 82.63/10.84 % (31519)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 82.63/10.84 % (31519)Termination reason: Unknown
% 82.63/10.84 % (31519)Termination phase: Saturation
% 82.63/10.84
% 82.63/10.84 % (31519)Memory used [KB]: 6780
% 82.63/10.84 % (31519)Time elapsed: 0.607 s
% 82.63/10.84 % (31519)Instructions burned: 3208 (million)
% 82.63/10.84 % (31519)------------------------------
% 82.63/10.84 % (31519)------------------------------
% 82.63/10.85 % (31525)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 theBenchmark for (2895ds/631Mi)
% 84.43/10.98 % (31525)Instruction limit reached!
% 84.43/10.98 % (31525)------------------------------
% 84.43/10.98 % (31525)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 84.43/10.98 % (31525)Termination reason: Unknown
% 84.43/10.98 % (31525)Termination phase: Saturation
% 84.43/10.98
% 84.43/10.98 % (31525)Memory used [KB]: 6780
% 84.43/10.98 % (31525)Time elapsed: 0.129 s
% 84.43/10.98 % (31525)Instructions burned: 634 (million)
% 84.43/10.98 % (31525)------------------------------
% 84.43/10.98 % (31525)------------------------------
% 84.43/10.98 % (31526)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 theBenchmark for (2893ds/15557Mi)
% 84.43/10.99 % (31509)Instruction limit reached!
% 84.43/10.99 % (31509)------------------------------
% 84.43/10.99 % (31509)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 84.43/10.99 % (31509)Termination reason: Unknown
% 84.43/10.99 % (31509)Termination phase: Saturation
% 84.43/10.99
% 84.43/10.99 % (31509)Memory used [KB]: 21492
% 84.43/10.99 % (31509)Time elapsed: 2.376 s
% 84.43/10.99 % (31509)Instructions burned: 8384 (million)
% 84.43/10.99 % (31509)------------------------------
% 84.43/10.99 % (31509)------------------------------
% 84.43/11.00 % (31527)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 theBenchmark for (2893ds/2142Mi)
% 84.74/11.04 % (31515)Instruction limit reached!
% 84.74/11.04 % (31515)------------------------------
% 84.74/11.04 % (31515)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 84.74/11.04 % (31515)Termination reason: Unknown
% 84.74/11.04 % (31515)Termination phase: Saturation
% 84.74/11.04
% 84.74/11.04 % (31515)Memory used [KB]: 7036
% 84.74/11.04 % (31515)Time elapsed: 1.512 s
% 84.74/11.04 % (31515)Instructions burned: 7971 (million)
% 84.74/11.04 % (31515)------------------------------
% 84.74/11.04 % (31515)------------------------------
% 84.74/11.05 % (31528)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 theBenchmark for (2893ds/5624Mi)
% 86.44/11.41 % (31527)Instruction limit reached!
% 86.44/11.41 % (31527)------------------------------
% 86.44/11.41 % (31527)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 86.44/11.41 % (31527)Termination reason: Unknown
% 86.44/11.41 % (31527)Termination phase: Saturation
% 86.44/11.41
% 86.44/11.41 % (31527)Memory used [KB]: 6780
% 86.44/11.41 % (31527)Time elapsed: 0.405 s
% 86.44/11.41 % (31527)Instructions burned: 2144 (million)
% 86.44/11.41 % (31527)------------------------------
% 86.44/11.41 % (31527)------------------------------
% 86.44/11.41 % (31529)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 theBenchmark for (2889ds/1665Mi)
% 89.63/11.63 % (31524)Instruction limit reached!
% 89.63/11.63 % (31524)------------------------------
% 89.63/11.63 % (31524)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 89.63/11.63 % (31524)Termination reason: Unknown
% 89.63/11.63 % (31524)Termination phase: Saturation
% 89.63/11.63
% 89.63/11.63 % (31524)Memory used [KB]: 6908
% 89.63/11.63 % (31524)Time elapsed: 0.825 s
% 89.63/11.63 % (31524)Instructions burned: 2635 (million)
% 89.63/11.63 % (31524)------------------------------
% 89.63/11.63 % (31524)------------------------------
% 89.86/11.65 % (31530)dis+1002_1:1_av=off:prag=on:sd=1:sos=on:sp=occurrence:ss=axioms:i=64912:si=on:rtra=on_0 on theBenchmark for (2887ds/64912Mi)
% 90.37/11.75 % (31529)Instruction limit reached!
% 90.37/11.75 % (31529)------------------------------
% 90.37/11.75 % (31529)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 90.37/11.75 % (31529)Termination reason: Unknown
% 90.37/11.75 % (31529)Termination phase: Saturation
% 90.37/11.75
% 90.37/11.75 % (31529)Memory used [KB]: 7164
% 90.37/11.75 % (31529)Time elapsed: 0.335 s
% 90.37/11.75 % (31529)Instructions burned: 1665 (million)
% 90.37/11.75 % (31529)------------------------------
% 90.37/11.75 % (31529)------------------------------
% 90.37/11.76 % (31531)lrs+10_1:32_atotf=0.1:avsq=on:bsr=on:cnfonf=lazy_gen:fde=unused:i=7801:si=on:rtra=on_0 on theBenchmark for (2886ds/7801Mi)
% 90.66/11.83 % (31522)Instruction limit reached!
% 90.66/11.83 % (31522)------------------------------
% 90.66/11.83 % (31522)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 90.66/11.83 % (31522)Termination reason: Unknown
% 90.66/11.83 % (31522)Termination phase: Saturation
% 90.66/11.83
% 90.66/11.83 % (31522)Memory used [KB]: 15095
% 90.66/11.83 % (31522)Time elapsed: 1.250 s
% 90.66/11.83 % (31522)Instructions burned: 4166 (million)
% 90.66/11.83 % (31522)------------------------------
% 90.66/11.83 % (31522)------------------------------
% 90.66/11.83 % (31532)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 theBenchmark for (2885ds/15194Mi)
% 91.99/12.06 % (31521)Instruction limit reached!
% 91.99/12.06 % (31521)------------------------------
% 91.99/12.06 % (31521)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 91.99/12.06 % (31521)Termination reason: Unknown
% 91.99/12.06 % (31521)Termination phase: Saturation
% 91.99/12.06
% 91.99/12.06 % (31521)Memory used [KB]: 8059
% 91.99/12.06 % (31521)Time elapsed: 1.515 s
% 91.99/12.06 % (31521)Instructions burned: 7470 (million)
% 91.99/12.06 % (31521)------------------------------
% 91.99/12.06 % (31521)------------------------------
% 91.99/12.07 % (31533)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 theBenchmark for (2882ds/6753Mi)
% 93.26/12.09 % (31533)Refutation not found, incomplete strategy
% 93.26/12.09 % (31533)------------------------------
% 93.26/12.09 % (31533)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 93.26/12.09 % (31533)Termination reason: Refutation not found, incomplete strategy
% 93.26/12.09
% 93.26/12.09
% 93.26/12.09 % (31533)Memory used [KB]: 6268
% 93.26/12.09 % (31533)Time elapsed: 0.021 s
% 93.26/12.09 % (31533)Instructions burned: 69 (million)
% 93.26/12.09 % (31533)------------------------------
% 93.26/12.09 % (31533)------------------------------
% 93.26/12.10 % (31534)lrs+1002_1:28_bd=off:cnfonf=lazy_simp:plsq=on:plsqr=1,1:prag=on:i=1003:si=on:rtra=on_0 on theBenchmark for (2882ds/1003Mi)
% 94.43/12.29 % (31534)Instruction limit reached!
% 94.43/12.29 % (31534)------------------------------
% 94.43/12.29 % (31534)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 94.43/12.29 % (31534)Termination reason: Unknown
% 94.43/12.29 % (31534)Termination phase: Saturation
% 94.43/12.29
% 94.43/12.29 % (31534)Memory used [KB]: 6780
% 94.43/12.29 % (31534)Time elapsed: 0.196 s
% 94.43/12.29 % (31534)Instructions burned: 1005 (million)
% 94.43/12.29 % (31534)------------------------------
% 94.43/12.29 % (31534)------------------------------
% 94.43/12.30 % (31535)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 theBenchmark for (2880ds/13018Mi)
% 98.04/12.72 % (31528)Instruction limit reached!
% 98.04/12.72 % (31528)------------------------------
% 98.04/12.72 % (31528)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 98.04/12.72 % (31528)Termination reason: Unknown
% 98.04/12.72 % (31528)Termination phase: Saturation
% 98.04/12.72
% 98.04/12.72 % (31528)Memory used [KB]: 10746
% 98.04/12.72 % (31528)Time elapsed: 1.672 s
% 98.04/12.72 % (31528)Instructions burned: 5627 (million)
% 98.04/12.72 % (31528)------------------------------
% 98.04/12.72 % (31528)------------------------------
% 98.04/12.73 % (31536)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 theBenchmark for (2876ds/1267Mi)
% 100.19/13.04 % (31536)Instruction limit reached!
% 100.19/13.04 % (31536)------------------------------
% 100.19/13.04 % (31536)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 100.19/13.04 % (31536)Termination reason: Unknown
% 100.19/13.04 % (31536)Termination phase: Saturation
% 100.19/13.04
% 100.19/13.04 % (31536)Memory used [KB]: 7419
% 100.19/13.04 % (31536)Time elapsed: 0.311 s
% 100.19/13.04 % (31536)Instructions burned: 1267 (million)
% 100.19/13.04 % (31536)------------------------------
% 100.19/13.04 % (31536)------------------------------
% 100.19/13.05 % (31537)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 theBenchmark for (2873ds/2570Mi)
% 104.78/13.57 % (31537)Instruction limit reached!
% 104.78/13.57 % (31537)------------------------------
% 104.78/13.57 % (31537)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 104.78/13.57 % (31537)Termination reason: Unknown
% 104.78/13.57 % (31537)Termination phase: Saturation
% 104.78/13.57
% 104.78/13.57 % (31537)Memory used [KB]: 7547
% 104.78/13.57 % (31537)Time elapsed: 0.522 s
% 104.78/13.57 % (31537)Instructions burned: 2573 (million)
% 104.78/13.57 % (31537)------------------------------
% 104.78/13.57 % (31537)------------------------------
% 104.78/13.58 % (31538)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=13163:si=on:rtra=on_0 on theBenchmark for (2867ds/13163Mi)
% 112.96/14.57 % (31526)Instruction limit reached!
% 112.96/14.57 % (31526)------------------------------
% 112.96/14.57 % (31526)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 112.96/14.57 % (31526)Termination reason: Unknown
% 112.96/14.57 % (31526)Termination phase: Saturation
% 112.96/14.57
% 112.96/14.57 % (31526)Memory used [KB]: 8955
% 112.96/14.57 % (31526)Time elapsed: 3.587 s
% 112.96/14.57 % (31526)Instructions burned: 15558 (million)
% 112.96/14.57 % (31526)------------------------------
% 112.96/14.57 % (31526)------------------------------
% 112.96/14.59 % (31539)lrs+1666_1:1_au=on:s2a=on:sd=2:ss=axioms:st=5.0:i=5087:si=on:rtra=on_0 on theBenchmark for (2857ds/5087Mi)
% 113.87/14.68 % (31532)Instruction limit reached!
% 113.87/14.68 % (31532)------------------------------
% 113.87/14.68 % (31532)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 113.87/14.68 % (31532)Termination reason: Unknown
% 113.87/14.68 % (31532)Termination phase: Saturation
% 113.87/14.68
% 113.87/14.68 % (31532)Memory used [KB]: 6908
% 113.87/14.68 % (31532)Time elapsed: 2.845 s
% 113.87/14.68 % (31532)Instructions burned: 15196 (million)
% 113.87/14.68 % (31532)------------------------------
% 113.87/14.68 % (31532)------------------------------
% 113.87/14.69 % (31540)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 theBenchmark for (2856ds/10380Mi)
% 114.27/14.75 % (31531)Instruction limit reached!
% 114.27/14.75 % (31531)------------------------------
% 114.27/14.75 % (31531)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 114.27/14.75 % (31531)Termination reason: Unknown
% 114.27/14.75 % (31531)Termination phase: Saturation
% 114.27/14.75
% 114.27/14.75 % (31531)Memory used [KB]: 17910
% 114.27/14.75 % (31531)Time elapsed: 2.991 s
% 114.27/14.75 % (31531)Instructions burned: 7802 (million)
% 114.27/14.75 % (31531)------------------------------
% 114.27/14.75 % (31531)------------------------------
% 114.27/14.76 % (31541)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 theBenchmark for (2856ds/4218Mi)
% 114.41/14.80 % (31535)Instruction limit reached!
% 114.41/14.80 % (31535)------------------------------
% 114.41/14.80 % (31535)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 114.41/14.80 % (31535)Termination reason: Unknown
% 114.41/14.80 % (31535)Termination phase: Saturation
% 114.41/14.80
% 114.41/14.80 % (31535)Memory used [KB]: 8059
% 114.41/14.80 % (31535)Time elapsed: 2.499 s
% 114.41/14.80 % (31535)Instructions burned: 13020 (million)
% 114.41/14.80 % (31535)------------------------------
% 114.41/14.80 % (31535)------------------------------
% 114.41/14.81 % (31542)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 theBenchmark for (2855ds/3971Mi)
% 115.45/14.88 % (31523)Instruction limit reached!
% 115.45/14.88 % (31523)------------------------------
% 115.45/14.88 % (31523)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 115.45/14.88 % (31523)Termination reason: Unknown
% 115.45/14.88 % (31523)Termination phase: Saturation
% 115.45/14.88
% 115.45/14.88 % (31523)Memory used [KB]: 11897
% 115.45/14.88 % (31523)Time elapsed: 4.113 s
% 115.45/14.88 % (31523)Instructions burned: 13471 (million)
% 115.45/14.88 % (31523)------------------------------
% 115.45/14.88 % (31523)------------------------------
% 115.45/14.89 % (31543)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 theBenchmark for (2854ds/14014Mi)
% 120.85/15.55 % (31539)Instruction limit reached!
% 120.85/15.55 % (31539)------------------------------
% 120.85/15.55 % (31539)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 120.85/15.55 % (31539)Termination reason: Unknown
% 120.85/15.55 % (31539)Termination phase: Saturation
% 120.85/15.55
% 120.85/15.55 % (31539)Memory used [KB]: 6908
% 120.85/15.55 % (31539)Time elapsed: 0.969 s
% 120.85/15.55 % (31539)Instructions burned: 5092 (million)
% 120.85/15.55 % (31539)------------------------------
% 120.85/15.55 % (31539)------------------------------
% 120.85/15.56 % (31544)lrs+10_1:1_ins=1:sgt=8:ss=axioms:i=8517:si=on:rtra=on_0 on theBenchmark for (2847ds/8517Mi)
% 122.49/15.84 % (31541)Instruction limit reached!
% 122.49/15.84 % (31541)------------------------------
% 122.49/15.84 % (31541)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 122.49/15.84 % (31541)Termination reason: Unknown
% 122.49/15.84 % (31541)Termination phase: Saturation
% 122.49/15.84
% 122.49/15.84 % (31541)Memory used [KB]: 7931
% 122.49/15.84 % (31541)Time elapsed: 1.081 s
% 122.49/15.84 % (31541)Instructions burned: 4219 (million)
% 122.49/15.84 % (31541)------------------------------
% 122.49/15.84 % (31541)------------------------------
% 122.98/15.85 % (31545)dis+10_1:1_av=off:e2e=on:nm=4:s2a=on:i=10148:si=on:rtra=on_0 on theBenchmark for (2845ds/10148Mi)
% 123.14/15.87 % (31542)Instruction limit reached!
% 123.14/15.87 % (31542)------------------------------
% 123.14/15.87 % (31542)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 123.14/15.87 % (31542)Termination reason: Unknown
% 123.14/15.87 % (31542)Termination phase: Saturation
% 123.14/15.87
% 123.14/15.87 % (31542)Memory used [KB]: 6908
% 123.14/15.87 % (31542)Time elapsed: 1.061 s
% 123.14/15.87 % (31542)Instructions burned: 3974 (million)
% 123.14/15.87 % (31542)------------------------------
% 123.14/15.87 % (31542)------------------------------
% 123.14/15.88 % (31546)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 theBenchmark for (2844ds/9078Mi)
% 123.97/15.96 % (31508)Refutation not found, non-redundant clauses discarded% (31508)------------------------------
% 123.97/15.96 % (31508)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 123.97/15.96 % (31508)Termination reason: Refutation not found, non-redundant clauses discarded
% 123.97/15.96
% 123.97/15.96 % (31508)Memory used [KB]: 14583
% 123.97/15.96 % (31508)Time elapsed: 7.431 s
% 123.97/15.96 % (31508)Instructions burned: 26888 (million)
% 123.97/15.96 % (31508)------------------------------
% 123.97/15.96 % (31508)------------------------------
% 124.23/15.97 % (31547)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 theBenchmark for (2843ds/16164Mi)
% 133.89/17.21 % (31538)Instruction limit reached!
% 133.89/17.21 % (31538)------------------------------
% 133.89/17.21 % (31538)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 133.89/17.21 % (31538)Termination reason: Unknown
% 133.89/17.21 % (31538)Termination phase: Saturation
% 133.89/17.21
% 133.89/17.21 % (31538)Memory used [KB]: 7036
% 133.89/17.21 % (31538)Time elapsed: 3.632 s
% 133.89/17.21 % (31538)Instructions burned: 13163 (million)
% 133.89/17.21 % (31538)------------------------------
% 133.89/17.21 % (31538)------------------------------
% 133.89/17.22 % (31548)lrs+32_1:1_au=on:bet=on:cbe=off:cs=on:ins=3:i=6102:si=on:rtra=on_0 on theBenchmark for (2831ds/6102Mi)
% 134.44/17.28 % (31540)Instruction limit reached!
% 134.44/17.28 % (31540)------------------------------
% 134.44/17.28 % (31540)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 134.44/17.28 % (31540)Termination reason: Unknown
% 134.44/17.28 % (31540)Termination phase: Saturation
% 134.44/17.28
% 134.44/17.28 % (31540)Memory used [KB]: 7803
% 134.44/17.28 % (31540)Time elapsed: 2.594 s
% 134.44/17.28 % (31540)Instructions burned: 10381 (million)
% 134.44/17.28 % (31540)------------------------------
% 134.44/17.28 % (31540)------------------------------
% 134.44/17.29 % (31549)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 theBenchmark for (2830ds/10308Mi)
% 134.44/17.30 % (31549)Refutation not found, incomplete strategy
% 134.44/17.30 % (31549)------------------------------
% 134.44/17.30 % (31549)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 134.44/17.30 % (31549)Termination reason: Refutation not found, incomplete strategy
% 134.44/17.30
% 134.44/17.30
% 134.44/17.30 % (31549)Memory used [KB]: 6140
% 134.44/17.30 % (31549)Time elapsed: 0.019 s
% 134.44/17.30 % (31549)Instructions burned: 61 (million)
% 134.44/17.30 % (31549)------------------------------
% 134.44/17.30 % (31549)------------------------------
% 134.44/17.31 % (31550)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 theBenchmark for (2830ds/4041Mi)
% 134.93/17.36 % (31550)Refutation not found, incomplete strategy
% 134.93/17.36 % (31550)------------------------------
% 134.93/17.36 % (31550)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 134.93/17.36 % (31550)Termination reason: Refutation not found, incomplete strategy
% 134.93/17.36
% 134.93/17.36
% 134.93/17.36 % (31550)Memory used [KB]: 6908
% 134.93/17.36 % (31550)Time elapsed: 0.052 s
% 134.93/17.36 % (31550)Instructions burned: 157 (million)
% 134.93/17.36 % (31550)------------------------------
% 134.93/17.36 % (31550)------------------------------
% 135.28/17.37 % (31551)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 theBenchmark for (2829ds/6901Mi)
% 137.89/17.72 % (31543)Instruction limit reached!
% 137.89/17.72 % (31543)------------------------------
% 137.89/17.72 % (31543)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 137.89/17.72 % (31543)Termination reason: Unknown
% 137.89/17.72 % (31543)Termination phase: Saturation
% 137.89/17.72
% 137.89/17.72 % (31543)Memory used [KB]: 6908
% 137.89/17.72 % (31543)Time elapsed: 2.785 s
% 137.89/17.72 % (31543)Instructions burned: 14015 (million)
% 137.89/17.72 % (31543)------------------------------
% 137.89/17.72 % (31543)------------------------------
% 137.89/17.73 % (31552)lrs-1_1:1_au=on:cbe=off:ntd=on:i=5576:si=on:rtra=on_0 on theBenchmark for (2826ds/5576Mi)
% 139.72/17.97 % (31544)Instruction limit reached!
% 139.72/17.97 % (31544)------------------------------
% 139.72/17.97 % (31544)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 139.72/17.97 % (31544)Termination reason: Unknown
% 139.72/17.97 % (31544)Termination phase: Saturation
% 139.72/17.97
% 139.72/17.97 % (31544)Memory used [KB]: 11385
% 139.72/17.97 % (31544)Time elapsed: 2.409 s
% 139.72/17.97 % (31544)Instructions burned: 8517 (million)
% 139.72/17.97 % (31544)------------------------------
% 139.72/17.97 % (31544)------------------------------
% 140.05/17.98 % (31553)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=2014:si=on:rtra=on_0 on theBenchmark for (2823ds/2014Mi)
% 143.28/18.36 % (31553)Instruction limit reached!
% 143.28/18.36 % (31553)------------------------------
% 143.28/18.36 % (31553)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 143.28/18.36 % (31553)Termination reason: Unknown
% 143.28/18.36 % (31553)Termination phase: Saturation
% 143.28/18.36
% 143.28/18.36 % (31553)Memory used [KB]: 6908
% 143.28/18.36 % (31553)Time elapsed: 0.383 s
% 143.28/18.36 % (31553)Instructions burned: 2017 (million)
% 143.28/18.36 % (31553)------------------------------
% 143.28/18.36 % (31553)------------------------------
% 143.28/18.37 % (31554)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 theBenchmark for (2819ds/5115Mi)
% 144.56/18.56 % (31546)Instruction limit reached!
% 144.56/18.56 % (31546)------------------------------
% 144.56/18.56 % (31546)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 144.56/18.56 % (31546)Termination reason: Unknown
% 144.56/18.56 % (31546)Termination phase: Saturation
% 144.56/18.56
% 144.56/18.56 % (31546)Memory used [KB]: 20340
% 144.56/18.56 % (31546)Time elapsed: 2.686 s
% 144.56/18.56 % (31546)Instructions burned: 9081 (million)
% 144.56/18.56 % (31546)------------------------------
% 144.56/18.56 % (31546)------------------------------
% 144.81/18.59 % (31555)lrs+2_1:1_au=on:cnfonf=lazy_pi_sigma_gen:sos=on:ss=axioms:i=13001:si=on:rtra=on_0 on theBenchmark for (2817ds/13001Mi)
% 145.14/18.66 % (31551)Instruction limit reached!
% 145.14/18.66 % (31551)------------------------------
% 145.14/18.66 % (31551)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 145.14/18.66 % (31551)Termination reason: Unknown
% 145.14/18.66 % (31551)Termination phase: Saturation
% 145.14/18.66
% 145.14/18.66 % (31551)Memory used [KB]: 6908
% 145.14/18.66 % (31551)Time elapsed: 1.289 s
% 145.14/18.66 % (31551)Instructions burned: 6905 (million)
% 145.14/18.66 % (31551)------------------------------
% 145.14/18.66 % (31551)------------------------------
% 145.68/18.67 % (31556)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 theBenchmark for (2816ds/11105Mi)
% 146.45/18.83 % (31545)Instruction limit reached!
% 146.45/18.83 % (31545)------------------------------
% 146.45/18.83 % (31545)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 146.45/18.83 % (31545)Termination reason: Unknown
% 146.45/18.83 % (31545)Termination phase: Saturation
% 146.45/18.83
% 146.45/18.83 % (31545)Memory used [KB]: 2430
% 146.45/18.83 % (31545)Time elapsed: 2.945 s
% 146.45/18.83 % (31545)Instructions burned: 10150 (million)
% 146.45/18.83 % (31545)------------------------------
% 146.45/18.83 % (31545)------------------------------
% 146.94/18.85 % (31552)Instruction limit reached!
% 146.94/18.85 % (31552)------------------------------
% 146.94/18.85 % (31552)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 146.94/18.85 % (31552)Termination reason: Unknown
% 146.94/18.85 % (31552)Termination phase: Saturation
% 146.94/18.85
% 146.94/18.85 % (31552)Memory used [KB]: 6908
% 146.94/18.85 % (31552)Time elapsed: 1.088 s
% 146.94/18.85 % (31552)Instructions burned: 5577 (million)
% 146.94/18.85 % (31552)------------------------------
% 146.94/18.85 % (31552)------------------------------
% 146.94/18.85 % (31557)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 theBenchmark for (2815ds/13832Mi)
% 146.94/18.85 % (31558)lrs+1010_1:1_au=on:s2a=on:sd=1:sgt=50:ss=axioms:i=32887:si=on:rtra=on_0 on theBenchmark for (2815ds/32887Mi)
% 152.91/19.60 % (31554)Instruction limit reached!
% 152.91/19.60 % (31554)------------------------------
% 152.91/19.60 % (31554)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 152.91/19.60 % (31554)Termination reason: Unknown
% 152.91/19.60 % (31554)Termination phase: Saturation
% 152.91/19.60
% 152.91/19.60 % (31554)Memory used [KB]: 9083
% 152.91/19.60 % (31554)Time elapsed: 1.236 s
% 152.91/19.60 % (31554)Instructions burned: 5119 (million)
% 152.91/19.60 % (31554)------------------------------
% 152.91/19.60 % (31554)------------------------------
% 152.91/19.61 % (31559)dis+1010_2:1_avsq=on:fde=unused:prag=on:i=3362:si=on:rtra=on_0 on theBenchmark for (2807ds/3362Mi)
% 154.41/19.80 % (31548)Instruction limit reached!
% 154.41/19.80 % (31548)------------------------------
% 154.41/19.80 % (31548)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 154.41/19.80 % (31548)Termination reason: Unknown
% 154.41/19.80 % (31548)Termination phase: Saturation
% 154.41/19.80
% 154.41/19.80 % (31548)Memory used [KB]: 35052
% 154.41/19.80 % (31548)Time elapsed: 2.575 s
% 154.41/19.80 % (31548)Instructions burned: 6102 (million)
% 154.41/19.80 % (31548)------------------------------
% 154.41/19.80 % (31548)------------------------------
% 154.41/19.83 % (31560)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 theBenchmark for (2805ds/24965Mi)
% 158.89/20.36 % (31547)Refutation not found, non-redundant clauses discarded% (31547)------------------------------
% 158.89/20.36 % (31547)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 158.89/20.36 % (31547)Termination reason: Refutation not found, non-redundant clauses discarded
% 158.89/20.36
% 158.89/20.36 % (31547)Memory used [KB]: 14456
% 158.89/20.36 % (31547)Time elapsed: 4.391 s
% 158.89/20.36 % (31547)Instructions burned: 15812 (million)
% 158.89/20.36 % (31547)------------------------------
% 158.89/20.36 % (31547)------------------------------
% 159.19/20.37 % (31561)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 theBenchmark for (2799ds/15705Mi)
% 160.03/20.50 % (31559)Instruction limit reached!
% 160.03/20.50 % (31559)------------------------------
% 160.03/20.50 % (31559)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 160.03/20.50 % (31559)Termination reason: Unknown
% 160.03/20.50 % (31559)Termination phase: Saturation
% 160.03/20.50
% 160.03/20.50 % (31559)Memory used [KB]: 14839
% 160.03/20.50 % (31559)Time elapsed: 0.890 s
% 160.03/20.50 % (31559)Instructions burned: 3362 (million)
% 160.03/20.50 % (31559)------------------------------
% 160.03/20.50 % (31559)------------------------------
% 160.03/20.51 % (31562)lrs+1010_1:6_au=on:cnfonf=conj_eager:nwc=10.0:pe=on:prag=on:s2a=on:ss=axioms:st=1.5:i=1536:si=on:rtra=on_0 on theBenchmark for (2798ds/1536Mi)
% 163.20/20.89 % (31562)Instruction limit reached!
% 163.20/20.89 % (31562)------------------------------
% 163.20/20.89 % (31562)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 163.20/20.89 % (31562)Termination reason: Unknown
% 163.20/20.89 % (31562)Termination phase: Saturation
% 163.20/20.89
% 163.20/20.89 % (31562)Memory used [KB]: 6908
% 163.20/20.89 % (31562)Time elapsed: 0.385 s
% 163.20/20.89 % (31562)Instructions burned: 1536 (million)
% 163.20/20.89 % (31562)------------------------------
% 163.20/20.89 % (31562)------------------------------
% 163.20/20.90 % (31563)dis+10_1:1_fde=none:kws=precedence:piset=not:prag=on:slsq=on:slsqc=1:sp=unary_frequency:i=23684:si=on:rtra=on_0 on theBenchmark for (2794ds/23684Mi)
% 169.36/21.65 % (31555)First to succeed.
% 169.56/21.72 % (31555)Refutation found. Thanks to Tanya!
% 169.56/21.72 % SZS status Theorem for theBenchmark
% 169.56/21.72 % SZS output start Proof for theBenchmark
% 169.56/21.72 thf(func_def_0, type, c_Eps_i: ($i > $o) > $i).
% 169.56/21.72 thf(func_def_3, type, c_not: $o > $o).
% 169.56/21.72 thf(func_def_4, type, c_and: $o > $o > $o).
% 169.56/21.72 thf(func_def_5, type, c_or: $o > $o > $o).
% 169.56/21.72 thf(func_def_6, type, c_iff: $o > $o > $o).
% 169.56/21.72 thf(func_def_7, type, c_In: $i > $i > $o).
% 169.56/21.72 thf(func_def_8, type, c_Subq: $i > $i > $o).
% 169.56/21.72 thf(func_def_10, type, c_Union: $i > $i).
% 169.56/21.72 thf(func_def_11, type, c_Power: $i > $i).
% 169.56/21.72 thf(func_def_12, type, c_Repl: $i > ($i > $i) > $i).
% 169.56/21.72 thf(func_def_13, type, c_TransSet: $i > $o).
% 169.56/21.72 thf(func_def_14, type, c_atleast2: $i > $o).
% 169.56/21.72 thf(func_def_15, type, c_atleast3: $i > $o).
% 169.56/21.72 thf(func_def_16, type, c_atleast4: $i > $o).
% 169.56/21.72 thf(func_def_17, type, c_atleast5: $i > $o).
% 169.56/21.72 thf(func_def_18, type, c_atleast6: $i > $o).
% 169.56/21.72 thf(func_def_19, type, c_exactly2: $i > $o).
% 169.56/21.72 thf(func_def_20, type, c_exactly3: $i > $o).
% 169.56/21.72 thf(func_def_21, type, c_exactly4: $i > $o).
% 169.56/21.72 thf(func_def_22, type, c_exactly5: $i > $o).
% 169.56/21.72 thf(func_def_23, type, c_exu_i: ($i > $o) > $o).
% 169.56/21.72 thf(func_def_24, type, c_reflexive_i: ($i > $i > $o) > $o).
% 169.56/21.72 thf(func_def_25, type, c_irreflexive_i: ($i > $i > $o) > $o).
% 169.56/21.72 thf(func_def_26, type, c_symmetric_i: ($i > $i > $o) > $o).
% 169.56/21.72 thf(func_def_27, type, c_antisymmetric_i: ($i > $i > $o) > $o).
% 169.56/21.72 thf(func_def_28, type, c_transitive_i: ($i > $i > $o) > $o).
% 169.56/21.72 thf(func_def_29, type, c_eqreln_i: ($i > $i > $o) > $o).
% 169.56/21.72 thf(func_def_30, type, c_per_i: ($i > $i > $o) > $o).
% 169.56/21.72 thf(func_def_31, type, c_linear_i: ($i > $i > $o) > $o).
% 169.56/21.72 thf(func_def_32, type, c_trichotomous_or_i: ($i > $i > $o) > $o).
% 169.56/21.72 thf(func_def_33, type, c_partialorder_i: ($i > $i > $o) > $o).
% 169.56/21.72 thf(func_def_34, type, c_totalorder_i: ($i > $i > $o) > $o).
% 169.56/21.72 thf(func_def_35, type, c_strictpartialorder_i: ($i > $i > $o) > $o).
% 169.56/21.72 thf(func_def_36, type, c_stricttotalorder_i: ($i > $i > $o) > $o).
% 169.56/21.72 thf(func_def_37, type, c_If_i: $o > $i > $i > $i).
% 169.56/21.72 thf(func_def_38, type, c_exactly1of2: $o > $o > $o).
% 169.56/21.72 thf(func_def_39, type, c_exactly1of3: $o > $o > $o > $o).
% 169.56/21.72 thf(func_def_40, type, c_nIn: $i > $i > $o).
% 169.56/21.72 thf(func_def_41, type, c_nSubq: $i > $i > $o).
% 169.56/21.72 thf(func_def_42, type, c_UPair: $i > $i > $i).
% 169.56/21.72 thf(func_def_43, type, c_Sing: $i > $i).
% 169.56/21.72 thf(func_def_44, type, c_binunion: $i > $i > $i).
% 169.56/21.72 thf(func_def_45, type, c_SetAdjoin: $i > $i > $i).
% 169.56/21.72 thf(func_def_46, type, c_famunion: $i > ($i > $i) > $i).
% 169.56/21.72 thf(func_def_47, type, c_Sep: $i > ($i > $o) > $i).
% 169.56/21.72 thf(func_def_48, type, c_ReplSep: $i > ($i > $o) > ($i > $i) > $i).
% 169.56/21.72 thf(func_def_49, type, c_binintersect: $i > $i > $i).
% 169.56/21.72 thf(func_def_50, type, c_setminus: $i > $i > $i).
% 169.56/21.72 thf(func_def_51, type, c_inj: $i > $i > ($i > $i) > $o).
% 169.56/21.72 thf(func_def_52, type, c_bij: $i > $i > ($i > $i) > $o).
% 169.56/21.72 thf(func_def_53, type, c_atleastp: $i > $i > $o).
% 169.56/21.72 thf(func_def_54, type, c_equip: $i > $i > $o).
% 169.56/21.72 thf(func_def_55, type, c_In_rec_poly_G_i: ($i > ($i > $i) > $i) > $i > $i > $o).
% 169.56/21.72 thf(func_def_56, type, c_In_rec_poly_i: ($i > ($i > $i) > $i) > $i > $i).
% 169.56/21.72 thf(func_def_57, type, c_ordsucc: $i > $i).
% 169.56/21.72 thf(func_def_58, type, c_nat_p: $i > $o).
% 169.56/21.72 thf(func_def_59, type, c_nat_primrec: $i > ($i > $i > $i) > $i > $i).
% 169.56/21.72 thf(func_def_60, type, c_add_nat: $i > $i > $i).
% 169.56/21.72 thf(func_def_61, type, c_mul_nat: $i > $i > $i).
% 169.56/21.72 thf(func_def_62, type, c_ordinal: $i > $o).
% 169.56/21.72 thf(func_def_63, type, c_V_: $i > $i).
% 169.56/21.72 thf(func_def_64, type, c_Inj1: $i > $i).
% 169.56/21.72 thf(func_def_65, type, c_Inj0: $i > $i).
% 169.56/21.72 thf(func_def_66, type, c_Unj: $i > $i).
% 169.56/21.72 thf(func_def_67, type, c_combine_funcs: $i > $i > ($i > $i) > ($i > $i) > $i > $i).
% 169.56/21.72 thf(func_def_68, type, c_setsum: $i > $i > $i).
% 169.56/21.72 thf(func_def_69, type, c_proj0: $i > $i).
% 169.56/21.72 thf(func_def_70, type, c_proj1: $i > $i).
% 169.56/21.72 thf(func_def_71, type, c_binrep: $i > $i > $i).
% 169.56/21.72 thf(func_def_72, type, c_lam: $i > ($i > $i) > $i).
% 169.56/21.72 thf(func_def_73, type, c_setprod: $i > $i > $i).
% 169.56/21.72 thf(func_def_74, type, c_ap: $i > $i > $i).
% 169.56/21.72 thf(func_def_75, type, c_setsum_p: $i > $o).
% 169.56/21.72 thf(func_def_76, type, c_tuple_p: $i > $i > $o).
% 169.56/21.72 thf(func_def_77, type, c_Pi: $i > ($i > $i) > $i).
% 169.56/21.72 thf(func_def_78, type, c_setexp: $i > $i > $i).
% 169.56/21.72 thf(func_def_79, type, c_Sep2: $i > ($i > $i) > ($i > $i > $o) > $i).
% 169.56/21.72 thf(func_def_80, type, c_set_of_pairs: $i > $o).
% 169.56/21.72 thf(func_def_81, type, c_lam2: $i > ($i > $i) > ($i > $i > $i) > $i).
% 169.56/21.72 thf(func_def_82, type, c_PNoEq_: $i > ($i > $o) > ($i > $o) > $o).
% 169.56/21.72 thf(func_def_83, type, c_PNoLt_: $i > ($i > $o) > ($i > $o) > $o).
% 169.56/21.72 thf(func_def_84, type, c_PNoLt: $i > ($i > $o) > $i > ($i > $o) > $o).
% 169.56/21.72 thf(func_def_85, type, c_PNoLe: $i > ($i > $o) > $i > ($i > $o) > $o).
% 169.56/21.72 thf(func_def_86, type, c_PNo_downc: ($i > ($i > $o) > $o) > $i > ($i > $o) > $o).
% 169.56/21.72 thf(func_def_87, type, c_PNo_upc: ($i > ($i > $o) > $o) > $i > ($i > $o) > $o).
% 169.56/21.72 thf(func_def_88, type, c_SNoElts_: $i > $i).
% 169.56/21.72 thf(func_def_89, type, c_SNo_: $i > $i > $o).
% 169.56/21.72 thf(func_def_90, type, c_PSNo: $i > ($i > $o) > $i).
% 169.56/21.72 thf(func_def_91, type, c_SNo: $i > $o).
% 169.56/21.72 thf(func_def_92, type, c_SNoLev: $i > $i).
% 169.56/21.72 thf(func_def_93, type, c_SNoEq_: $i > $i > $i > $o).
% 169.56/21.72 thf(func_def_94, type, c_SNoLt: $i > $i > $o).
% 169.56/21.72 thf(func_def_95, type, c_SNoLe: $i > $i > $o).
% 169.56/21.72 thf(func_def_96, type, c_binop_on: $i > ($i > $i > $i) > $o).
% 169.56/21.72 thf(func_def_97, type, c_Loop: $i > ($i > $i > $i) > ($i > $i > $i) > ($i > $i > $i) > $i > $o).
% 169.56/21.72 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).
% 169.56/21.72 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).
% 169.56/21.72 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).
% 169.56/21.72 thf(func_def_101, type, c_combinator: $i > $o).
% 169.56/21.72 thf(func_def_102, type, c_combinator_equiv: $i > $i > $o).
% 169.56/21.72 thf(func_def_103, type, c_equip_mod: $i > $i > $i > $o).
% 169.56/21.72 thf(func_def_133, type, ph1: !>[X0: $tType]:(X0)).
% 169.56/21.72 thf(func_def_135, type, sK3: (($i > $i) > (((($i > $i) > $i) > $i) > ($i > $i > $i) > $i > $i > $i) > $i > $o) > (($i > (($i > $i) > $i) > $i) > $i > $o) > $i > $i > $i).
% 169.56/21.72 thf(func_def_136, type, sK4: (($i > $i) > (((($i > $i) > $i) > $i) > ($i > $i > $i) > $i > $i > $i) > $i > $o) > (($i > (($i > $i) > $i) > $i) > $i > $o) > $i).
% 169.56/21.72 thf(func_def_137, type, sK5: (($i > $i) > (((($i > $i) > $i) > $i) > ($i > $i > $i) > $i > $i > $i) > $i > $o) > (($i > (($i > $i) > $i) > $i) > $i > $o) > $i > $i).
% 169.56/21.72 thf(func_def_138, type, sK6: (($i > $i) > (((($i > $i) > $i) > $i) > ($i > $i > $i) > $i > $i > $i) > $i > $o) > (($i > ($i > $i > $i) > $i) > $i > $i > $o) > $i).
% 169.56/21.72 thf(func_def_139, type, sK7: (($i > $i) > (((($i > $i) > $i) > $i) > ($i > $i > $i) > $i > $i > $i) > $i > $o) > (($i > ($i > $i > $i) > $i) > $i > $i > $o) > $i).
% 169.56/21.72 thf(func_def_140, type, sK8: (($i > $i) > (((($i > $i) > $i) > $i) > ($i > $i > $i) > $i > $i > $i) > $i > $o) > (($i > ($i > $i > $i) > $i) > $i > $i > $o) > (($i > $i > $i) > ($i > $i) > $i > $i) > $i).
% 169.56/21.72 thf(func_def_141, type, sK9: (($i > ($i > $i > $i) > $i) > $i > $i > $o) > $i).
% 169.56/21.72 thf(func_def_143, type, sK11: ((($i > $i) > $i > $i) > $i) > $i).
% 169.56/21.72 thf(func_def_145, type, sK13: (($i > ($i > $i > $i) > $i) > $i > $i > $o) > ((($i > $i) > $i > $i) > $i) > $i).
% 169.56/21.72 thf(func_def_146, type, sK14: (($i > ($i > $i > $i) > $i) > $i > $i > $o) > $i).
% 169.56/21.72 thf(func_def_147, type, sK15: (($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) > $i).
% 169.56/21.72 thf(func_def_148, type, sK16: (($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) > $i).
% 169.56/21.72 thf(func_def_149, type, sK17: (($i > $i) > (((($i > $i) > $i) > $i) > ($i > $i > $i) > $i > $i > $i) > $i > $o) > (($i > $i > (($i > $i) > $i > $i) > $i) > $i > $i > $o) > $i).
% 169.56/21.72 thf(func_def_150, type, sK18: (($i > $i) > (((($i > $i) > $i) > $i) > ($i > $i > $i) > $i > $i > $i) > $i > $o) > $i).
% 169.56/21.72 thf(func_def_151, type, sK19: (($i > $i) > (((($i > $i) > $i) > $i) > ($i > $i > $i) > $i > $i > $i) > $i > $o) > $i).
% 169.56/21.72 thf(func_def_152, type, sK20: (($i > $i) > (((($i > $i) > $i) > $i) > ($i > $i > $i) > $i > $i > $i) > $i > $o) > $i).
% 169.56/21.72 thf(func_def_155, type, sK23: (($i > $i > $i) > ($i > $i) > $i > $i) > $i).
% 169.56/21.72 thf(func_def_156, type, sK24: (($i > $i > (($i > $i) > $i > $i) > $i) > $i > $i > $o) > (($i > (($i > $i) > $i) > $i) > $i > $o) > ((($i > $i) > $i > $i) > $i) > $i).
% 169.56/21.72 thf(func_def_157, type, sK25: (($i > $i) > (((($i > $i) > $i) > $i) > ($i > $i > $i) > $i > $i > $i) > $i > $o) > (($i > (($i > $i) > $i) > $i) > $i > $o) > $i).
% 169.56/21.72 thf(func_def_158, type, sK26: (($i > $i > (($i > $i) > $i > $i) > $i) > $i > $i > $o) > $i > (($i > $i) > $i > $i) > $i).
% 169.56/21.72 thf(func_def_159, type, sK27: (($i > $i > (($i > $i) > $i > $i) > $i) > $i > $i > $o) > ((($i > $i) > $i > $i) > ($i > $i) > $i > $i) > ($i > $i > $i) > $i).
% 169.56/21.72 thf(func_def_160, type, sK28: (($i > $i > (($i > $i) > $i > $i) > $i) > $i > $i > $o) > $i).
% 169.56/21.72 thf(func_def_161, type, sK29: (($i > (($i > $i) > $i) > $i) > $i > $o) > $i).
% 169.56/21.72 thf(func_def_162, type, sK30: (($i > (($i > $i) > $i) > $i) > $i > $o) > $i).
% 169.56/21.72 thf(func_def_163, type, sK31: (($i > (($i > $i) > $i) > $i) > $i > $o) > $i).
% 169.56/21.72 thf(func_def_164, type, sK32: (($i > (($i > $i) > $i) > $i) > $i > $o) > $i).
% 169.56/21.72 thf(func_def_165, type, sK33: (($i > (($i > $i) > $i) > $i) > $i > $o) > ((($i > $i) > $i > $i) > $i) > $i).
% 169.56/21.72 thf(func_def_166, type, sK34: ((($i > $i) > $i > $i) > $i) > $i).
% 169.56/21.72 thf(func_def_168, type, sK36: $i > $i).
% 169.56/21.72 thf(f1058,plain,(
% 169.56/21.72 $false),
% 169.56/21.72 inference(avatar_sat_refutation,[],[f551,f590,f795,f904,f1017,f1057])).
% 169.56/21.72 thf(f1057,plain,(
% 169.56/21.72 ~spl0_16),
% 169.56/21.72 inference(avatar_contradiction_clause,[],[f1056])).
% 169.56/21.72 thf(f1056,plain,(
% 169.56/21.72 $false | ~spl0_16),
% 169.56/21.72 inference(trivial_inequality_removal,[],[f1055])).
% 169.56/21.72 thf(f1055,plain,(
% 169.56/21.72 ($false = $true) | ~spl0_16),
% 169.56/21.72 inference(beta_eta_normalization,[],[f1054])).
% 169.56/21.72 thf(f1054,plain,(
% 169.56/21.72 ($false = ((^[Y0 : $i]: ($true)) @ sK35)) | ~spl0_16),
% 169.56/21.72 inference(sigma_clausification,[],[f1034])).
% 169.56/21.72 thf(f1034,plain,(
% 169.56/21.72 ((!! @ $i @ (^[Y0 : $i]: ($true))) = $false) | ~spl0_16),
% 169.56/21.72 inference(beta_eta_normalization,[],[f1033])).
% 169.56/21.72 thf(f1033,plain,(
% 169.56/21.72 (((^[Y0 : $i > $i]: (!! @ $i @ (^[Y1 : $i]: ($true)))) @ sK36) = $false) | ~spl0_16),
% 169.56/21.72 inference(sigma_clausification,[],[f903])).
% 169.56/21.72 thf(f903,plain,(
% 169.56/21.72 ($false = (!! @ ($i > $i) @ (^[Y0 : $i > $i]: (!! @ $i @ (^[Y1 : $i]: ($true)))))) | ~spl0_16),
% 169.56/21.72 inference(avatar_component_clause,[],[f901])).
% 169.56/21.72 thf(f901,plain,(
% 169.56/21.72 spl0_16 <=> ($false = (!! @ ($i > $i) @ (^[Y0 : $i > $i]: (!! @ $i @ (^[Y1 : $i]: ($true))))))),
% 169.56/21.72 introduced(avatar_definition,[new_symbols(naming,[spl0_16])])).
% 169.56/21.72 thf(f1017,plain,(
% 169.56/21.72 ~spl0_15),
% 169.56/21.72 inference(avatar_contradiction_clause,[],[f1016])).
% 169.56/21.72 thf(f1016,plain,(
% 169.56/21.72 $false | ~spl0_15),
% 169.56/21.72 inference(trivial_inequality_removal,[],[f1015])).
% 169.56/21.72 thf(f1015,plain,(
% 169.56/21.72 ($false = $true) | ~spl0_15),
% 169.56/21.72 inference(beta_eta_normalization,[],[f1014])).
% 169.56/21.72 thf(f1014,plain,(
% 169.56/21.72 ($false = ((^[Y0 : $i]: ($true)) @ sK35)) | ~spl0_15),
% 169.56/21.72 inference(sigma_clausification,[],[f993])).
% 169.56/21.72 thf(f993,plain,(
% 169.56/21.72 ((!! @ $i @ (^[Y0 : $i]: ($true))) = $false) | ~spl0_15),
% 169.56/21.72 inference(beta_eta_normalization,[],[f992])).
% 169.56/21.72 thf(f992,plain,(
% 169.56/21.72 ($false = ((^[Y0 : ((($i > $i) > $i > $i) > $i) > $i]: (!! @ $i @ (^[Y1 : $i]: ($true)))) @ sK34)) | ~spl0_15),
% 169.56/21.72 inference(sigma_clausification,[],[f972])).
% 169.56/21.72 thf(f972,plain,(
% 169.56/21.72 ((!! @ (((($i > $i) > $i > $i) > $i) > $i) @ (^[Y0 : ((($i > $i) > $i > $i) > $i) > $i]: (!! @ $i @ (^[Y1 : $i]: ($true))))) = $false) | ~spl0_15),
% 169.56/21.72 inference(boolean_simplification,[],[f971])).
% 169.56/21.72 thf(f971,plain,(
% 169.56/21.72 ((!! @ (((($i > $i) > $i > $i) > $i) > $i) @ (^[Y0 : ((($i > $i) > $i > $i) > $i) > $i]: (!! @ $i @ (^[Y1 : $i]: ((c_In @ (c_Inj1 @ c_Empty) @ Y1) => $true))))) = $false) | ~spl0_15),
% 169.56/21.72 inference(boolean_simplification,[],[f970])).
% 169.56/21.72 thf(f970,plain,(
% 169.56/21.72 ($false = (!! @ (((($i > $i) > $i > $i) > $i) > $i) @ (^[Y0 : ((($i > $i) > $i > $i) > $i) > $i]: (!! @ $i @ (^[Y1 : $i]: ((c_In @ (c_Inj1 @ c_Empty) @ Y1) => (~ $false))))))) | ~spl0_15),
% 169.56/21.72 inference(trivial_inequality_removal,[],[f969])).
% 169.56/21.72 thf(f969,plain,(
% 169.56/21.72 ($false = (!! @ (((($i > $i) > $i > $i) > $i) > $i) @ (^[Y0 : ((($i > $i) > $i > $i) > $i) > $i]: (!! @ $i @ (^[Y1 : $i]: ((c_In @ (c_Inj1 @ c_Empty) @ Y1) => (~ $false))))))) | ($false = $true) | ~spl0_15),
% 169.56/21.72 inference(beta_eta_normalization,[],[f967])).
% 169.56/21.72 thf(f967,plain,(
% 169.56/21.72 ($false = (!! @ (((($i > $i) > $i > $i) > $i) > $i) @ (^[Y0 : ((($i > $i) > $i > $i) > $i) > $i]: (!! @ $i @ (^[Y1 : $i]: ((c_In @ (c_Inj1 @ c_Empty) @ Y1) => (~ ((^[Y2 : $i > (($i > $i) > $i) > $i]: ((^[Y3 : $i]: ($false)))) @ (^[Y2 : $i]: ((^[Y3 : ($i > $i) > $i]: (c_Empty)))) @ c_Empty)))))))) | (((^[Y0 : $i > (($i > $i) > $i) > $i]: ((^[Y1 : $i]: ($false)))) @ (^[Y0 : $i]: ((^[Y1 : ($i > $i) > $i]: (sK29 @ (^[Y2 : $i > (($i > $i) > $i) > $i]: ((^[Y3 : $i]: ($false)))))))) @ c_Empty) = $true) | ~spl0_15),
% 169.56/21.72 inference(primitive_instantiation,[],[f948])).
% 169.56/21.72 thf(f948,plain,(
% 169.56/21.72 ( ! [X2 : ($i > (($i > $i) > $i) > $i) > $i > $o] : (((!! @ (((($i > $i) > $i > $i) > $i) > $i) @ (^[Y0 : ((($i > $i) > $i > $i) > $i) > $i]: (!! @ $i @ (^[Y1 : $i]: ((c_In @ (c_Inj1 @ c_Empty) @ Y1) => (~ (X2 @ (^[Y2 : $i]: ((^[Y3 : ($i > $i) > $i]: (c_Empty)))) @ c_Empty))))))) = $false) | ((X2 @ (^[Y0 : $i]: ((^[Y1 : ($i > $i) > $i]: (sK29 @ X2)))) @ c_Empty) = $true)) ) | ~spl0_15),
% 169.56/21.72 inference(not_proxy_clausification,[],[f946])).
% 169.56/21.72 thf(f946,plain,(
% 169.56/21.72 ( ! [X2 : ($i > (($i > $i) > $i) > $i) > $i > $o] : (((~ (X2 @ (^[Y0 : $i]: ((^[Y1 : ($i > $i) > $i]: (sK29 @ X2)))) @ c_Empty)) = $false) | ((!! @ (((($i > $i) > $i > $i) > $i) > $i) @ (^[Y0 : ((($i > $i) > $i > $i) > $i) > $i]: (!! @ $i @ (^[Y1 : $i]: ((c_In @ (c_Inj1 @ c_Empty) @ Y1) => (~ (X2 @ (^[Y2 : $i]: ((^[Y3 : ($i > $i) > $i]: (c_Empty)))) @ c_Empty))))))) = $false)) ) | ~spl0_15),
% 169.56/21.72 inference(binary_proxy_clausification,[],[f945])).
% 169.56/21.72 thf(f945,plain,(
% 169.56/21.72 ( ! [X2 : ($i > (($i > $i) > $i) > $i) > $i > $o] : (((!! @ (((($i > $i) > $i > $i) > $i) > $i) @ (^[Y0 : ((($i > $i) > $i > $i) > $i) > $i]: (!! @ $i @ (^[Y1 : $i]: ((c_In @ (c_Inj1 @ c_Empty) @ Y1) => (~ (X2 @ (^[Y2 : $i]: ((^[Y3 : ($i > $i) > $i]: (c_Empty)))) @ c_Empty))))))) = $false) | ($false = ((c_In @ (c_Repl @ (sK31 @ X2) @ c_Inj1) @ (c_binunion @ (c_Repl @ (c_binunion @ (c_Repl @ (sK30 @ X2) @ (^[Y0 : $i]: (c_Repl @ Y0 @ c_Inj1))) @ (c_Repl @ (c_binunion @ (c_Repl @ (sK32 @ 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 @ (sK32 @ X2) @ (^[Y0 : $i]: (c_Repl @ Y0 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1))) @ c_Inj1))) => (~ (X2 @ (^[Y0 : $i]: ((^[Y1 : ($i > $i) > $i]: (sK29 @ X2)))) @ c_Empty))))) ) | ~spl0_15),
% 169.56/21.72 inference(beta_eta_normalization,[],[f944])).
% 169.56/21.72 thf(f944,plain,(
% 169.56/21.72 ( ! [X2 : ($i > (($i > $i) > $i) > $i) > $i > $o] : ((((^[Y0 : $i]: ((c_In @ (c_Repl @ (sK31 @ X2) @ c_Inj1) @ (c_binunion @ (c_Repl @ (c_binunion @ (c_Repl @ (sK30 @ X2) @ (^[Y1 : $i]: (c_Repl @ Y1 @ c_Inj1))) @ (c_Repl @ (c_binunion @ (c_Repl @ Y0 @ (^[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 @ Y0 @ (^[Y1 : $i]: (c_Repl @ Y1 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1))) @ c_Inj1))) => (~ (X2 @ (^[Y1 : $i]: ((^[Y2 : ($i > $i) > $i]: (sK29 @ X2)))) @ c_Empty)))) @ (sK32 @ X2)) = $false) | ((!! @ (((($i > $i) > $i > $i) > $i) > $i) @ (^[Y0 : ((($i > $i) > $i > $i) > $i) > $i]: (!! @ $i @ (^[Y1 : $i]: ((c_In @ (c_Inj1 @ c_Empty) @ Y1) => (~ (X2 @ (^[Y2 : $i]: ((^[Y3 : ($i > $i) > $i]: (c_Empty)))) @ c_Empty))))))) = $false)) ) | ~spl0_15),
% 169.56/21.72 inference(sigma_clausification,[],[f931])).
% 169.56/21.72 thf(f931,plain,(
% 169.56/21.72 ( ! [X2 : ($i > (($i > $i) > $i) > $i) > $i > $o] : (($false = (!! @ $i @ (^[Y0 : $i]: ((c_In @ (c_Repl @ (sK31 @ X2) @ c_Inj1) @ (c_binunion @ (c_Repl @ (c_binunion @ (c_Repl @ (sK30 @ X2) @ (^[Y1 : $i]: (c_Repl @ Y1 @ c_Inj1))) @ (c_Repl @ (c_binunion @ (c_Repl @ Y0 @ (^[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 @ Y0 @ (^[Y1 : $i]: (c_Repl @ Y1 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1))) @ c_Inj1))) => (~ (X2 @ (^[Y1 : $i]: ((^[Y2 : ($i > $i) > $i]: (sK29 @ X2)))) @ c_Empty)))))) | ((!! @ (((($i > $i) > $i > $i) > $i) > $i) @ (^[Y0 : ((($i > $i) > $i > $i) > $i) > $i]: (!! @ $i @ (^[Y1 : $i]: ((c_In @ (c_Inj1 @ c_Empty) @ Y1) => (~ (X2 @ (^[Y2 : $i]: ((^[Y3 : ($i > $i) > $i]: (c_Empty)))) @ c_Empty))))))) = $false)) ) | ~spl0_15),
% 169.56/21.72 inference(beta_eta_normalization,[],[f930])).
% 169.56/21.72 thf(f930,plain,(
% 169.56/21.72 ( ! [X2 : ($i > (($i > $i) > $i) > $i) > $i > $o] : (($false = ((^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((c_In @ (c_Repl @ Y0 @ c_Inj1) @ (c_binunion @ (c_Repl @ (c_binunion @ (c_Repl @ (sK30 @ X2) @ (^[Y2 : $i]: (c_Repl @ Y2 @ c_Inj1))) @ (c_Repl @ (c_binunion @ (c_Repl @ Y1 @ (^[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 @ Y1 @ (^[Y2 : $i]: (c_Repl @ Y2 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1))) @ c_Inj1))) => (~ (X2 @ (^[Y2 : $i]: ((^[Y3 : ($i > $i) > $i]: (sK29 @ X2)))) @ c_Empty)))))) @ (sK31 @ X2))) | ((!! @ (((($i > $i) > $i > $i) > $i) > $i) @ (^[Y0 : ((($i > $i) > $i > $i) > $i) > $i]: (!! @ $i @ (^[Y1 : $i]: ((c_In @ (c_Inj1 @ c_Empty) @ Y1) => (~ (X2 @ (^[Y2 : $i]: ((^[Y3 : ($i > $i) > $i]: (c_Empty)))) @ c_Empty))))))) = $false)) ) | ~spl0_15),
% 169.56/21.72 inference(sigma_clausification,[],[f917])).
% 169.56/21.72 thf(f917,plain,(
% 169.56/21.72 ( ! [X2 : ($i > (($i > $i) > $i) > $i) > $i > $o] : (($false = (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((c_In @ (c_Repl @ Y0 @ c_Inj1) @ (c_binunion @ (c_Repl @ (c_binunion @ (c_Repl @ (sK30 @ X2) @ (^[Y2 : $i]: (c_Repl @ Y2 @ c_Inj1))) @ (c_Repl @ (c_binunion @ (c_Repl @ Y1 @ (^[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 @ Y1 @ (^[Y2 : $i]: (c_Repl @ Y2 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1))) @ c_Inj1))) => (~ (X2 @ (^[Y2 : $i]: ((^[Y3 : ($i > $i) > $i]: (sK29 @ X2)))) @ c_Empty)))))))) | ((!! @ (((($i > $i) > $i > $i) > $i) > $i) @ (^[Y0 : ((($i > $i) > $i > $i) > $i) > $i]: (!! @ $i @ (^[Y1 : $i]: ((c_In @ (c_Inj1 @ c_Empty) @ Y1) => (~ (X2 @ (^[Y2 : $i]: ((^[Y3 : ($i > $i) > $i]: (c_Empty)))) @ c_Empty))))))) = $false)) ) | ~spl0_15),
% 169.56/21.72 inference(beta_eta_normalization,[],[f916])).
% 169.56/21.72 thf(f916,plain,(
% 169.56/21.72 ( ! [X2 : ($i > (($i > $i) > $i) > $i) > $i > $o] : (((!! @ (((($i > $i) > $i > $i) > $i) > $i) @ (^[Y0 : ((($i > $i) > $i > $i) > $i) > $i]: (!! @ $i @ (^[Y1 : $i]: ((c_In @ (c_Inj1 @ c_Empty) @ Y1) => (~ (X2 @ (^[Y2 : $i]: ((^[Y3 : ($i > $i) > $i]: (c_Empty)))) @ c_Empty))))))) = $false) | (((^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((c_In @ (c_Repl @ Y1 @ c_Inj1) @ (c_binunion @ (c_Repl @ (c_binunion @ (c_Repl @ Y0 @ (^[Y3 : $i]: (c_Repl @ Y3 @ c_Inj1))) @ (c_Repl @ (c_binunion @ (c_Repl @ Y2 @ (^[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 @ Y2 @ (^[Y3 : $i]: (c_Repl @ Y3 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1))) @ c_Inj1))) => (~ (X2 @ (^[Y3 : $i]: ((^[Y4 : ($i > $i) > $i]: (sK29 @ X2)))) @ c_Empty)))))))) @ (sK30 @ X2)) = $false)) ) | ~spl0_15),
% 169.56/21.72 inference(sigma_clausification,[],[f911])).
% 169.56/21.72 thf(f911,plain,(
% 169.56/21.72 ( ! [X2 : ($i > (($i > $i) > $i) > $i) > $i > $o] : (((!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((c_In @ (c_Repl @ Y1 @ c_Inj1) @ (c_binunion @ (c_Repl @ (c_binunion @ (c_Repl @ Y0 @ (^[Y3 : $i]: (c_Repl @ Y3 @ c_Inj1))) @ (c_Repl @ (c_binunion @ (c_Repl @ Y2 @ (^[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 @ Y2 @ (^[Y3 : $i]: (c_Repl @ Y3 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1))) @ c_Inj1))) => (~ (X2 @ (^[Y3 : $i]: ((^[Y4 : ($i > $i) > $i]: (sK29 @ X2)))) @ c_Empty))))))))) = $false) | ((!! @ (((($i > $i) > $i > $i) > $i) > $i) @ (^[Y0 : ((($i > $i) > $i > $i) > $i) > $i]: (!! @ $i @ (^[Y1 : $i]: ((c_In @ (c_Inj1 @ c_Empty) @ Y1) => (~ (X2 @ (^[Y2 : $i]: ((^[Y3 : ($i > $i) > $i]: (c_Empty)))) @ c_Empty))))))) = $false)) ) | ~spl0_15),
% 169.56/21.72 inference(beta_eta_normalization,[],[f910])).
% 169.56/21.72 thf(f910,plain,(
% 169.56/21.72 ( ! [X2 : ($i > (($i > $i) > $i) > $i) > $i > $o] : (((!! @ (((($i > $i) > $i > $i) > $i) > $i) @ (^[Y0 : ((($i > $i) > $i > $i) > $i) > $i]: (!! @ $i @ (^[Y1 : $i]: ((c_In @ (c_Inj1 @ c_Empty) @ Y1) => (~ (X2 @ (^[Y2 : $i]: ((^[Y3 : ($i > $i) > $i]: (c_Empty)))) @ c_Empty))))))) = $false) | (((^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: ((c_In @ (c_Repl @ Y2 @ c_Inj1) @ (c_binunion @ (c_Repl @ (c_binunion @ (c_Repl @ Y1 @ (^[Y4 : $i]: (c_Repl @ Y4 @ c_Inj1))) @ (c_Repl @ (c_binunion @ (c_Repl @ Y3 @ (^[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 @ Y3 @ (^[Y4 : $i]: (c_Repl @ Y4 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1))) @ c_Inj1))) => (~ (X2 @ (^[Y4 : $i]: ((^[Y5 : ($i > $i) > $i]: (Y0)))) @ c_Empty)))))))))) @ (sK29 @ X2)) = $false)) ) | ~spl0_15),
% 169.56/21.72 inference(sigma_clausification,[],[f899])).
% 169.56/21.72 thf(f899,plain,(
% 169.56/21.72 ( ! [X2 : ($i > (($i > $i) > $i) > $i) > $i > $o] : (((!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: ((c_In @ (c_Repl @ Y2 @ c_Inj1) @ (c_binunion @ (c_Repl @ (c_binunion @ (c_Repl @ Y1 @ (^[Y4 : $i]: (c_Repl @ Y4 @ c_Inj1))) @ (c_Repl @ (c_binunion @ (c_Repl @ Y3 @ (^[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 @ Y3 @ (^[Y4 : $i]: (c_Repl @ Y4 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1))) @ c_Inj1))) => (~ (X2 @ (^[Y4 : $i]: ((^[Y5 : ($i > $i) > $i]: (Y0)))) @ c_Empty))))))))))) = $false) | ((!! @ (((($i > $i) > $i > $i) > $i) > $i) @ (^[Y0 : ((($i > $i) > $i > $i) > $i) > $i]: (!! @ $i @ (^[Y1 : $i]: ((c_In @ (c_Inj1 @ c_Empty) @ Y1) => (~ (X2 @ (^[Y2 : $i]: ((^[Y3 : ($i > $i) > $i]: (c_Empty)))) @ c_Empty))))))) = $false)) ) | ~spl0_15),
% 169.56/21.72 inference(avatar_component_clause,[],[f898])).
% 169.56/21.72 thf(f898,plain,(
% 169.56/21.72 spl0_15 <=> ! [X2 : ($i > (($i > $i) > $i) > $i) > $i > $o] : (((!! @ (((($i > $i) > $i > $i) > $i) > $i) @ (^[Y0 : ((($i > $i) > $i > $i) > $i) > $i]: (!! @ $i @ (^[Y1 : $i]: ((c_In @ (c_Inj1 @ c_Empty) @ Y1) => (~ (X2 @ (^[Y2 : $i]: ((^[Y3 : ($i > $i) > $i]: (c_Empty)))) @ c_Empty))))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: ((c_In @ (c_Repl @ Y2 @ c_Inj1) @ (c_binunion @ (c_Repl @ (c_binunion @ (c_Repl @ Y1 @ (^[Y4 : $i]: (c_Repl @ Y4 @ c_Inj1))) @ (c_Repl @ (c_binunion @ (c_Repl @ Y3 @ (^[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 @ Y3 @ (^[Y4 : $i]: (c_Repl @ Y4 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1))) @ c_Inj1))) => (~ (X2 @ (^[Y4 : $i]: ((^[Y5 : ($i > $i) > $i]: (Y0)))) @ c_Empty))))))))))) = $false))),
% 169.56/21.72 introduced(avatar_definition,[new_symbols(naming,[spl0_15])])).
% 169.56/21.72 thf(f904,plain,(
% 169.56/21.72 spl0_15 | spl0_16 | ~spl0_6),
% 169.56/21.72 inference(avatar_split_clause,[],[f864,f549,f901,f898])).
% 169.56/21.72 thf(f549,plain,(
% 169.56/21.72 spl0_6 <=> ! [X2 : ($i > (($i > $i) > $i) > $i) > $i > $o,X1 : ($i > $i > (($i > $i) > $i > $i) > $i) > $i > $i > $o] : (((!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: ((c_In @ (c_Repl @ Y2 @ c_Inj1) @ (c_binunion @ (c_Repl @ (c_binunion @ (c_Repl @ Y1 @ (^[Y4 : $i]: (c_Repl @ Y4 @ c_Inj1))) @ (c_Repl @ (c_binunion @ (c_Repl @ Y3 @ (^[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 @ Y3 @ (^[Y4 : $i]: (c_Repl @ Y4 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1))) @ c_Inj1))) => (~ (X2 @ (^[Y4 : $i]: ((^[Y5 : ($i > $i) > $i]: (Y0)))) @ c_Empty))))))))))) = $false) | ($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))) => (~ (X1 @ (^[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]: ((c_In @ (c_Inj1 @ c_Empty) @ Y1) => ((X2 @ (^[Y2 : $i]: ((^[Y3 : ($i > $i) > $i]: (c_Empty)))) @ c_Empty) => (X1 @ (^[Y2 : $i]: ((^[Y3 : $i]: ((^[Y4 : ($i > $i) > $i > $i]: (c_Inj1 @ c_Empty)))))) @ (c_Inj1 @ (c_Inj1 @ (Y0 @ (^[Y2 : ($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 > $i) @ (^[Y0 : $i > $i]: (!! @ $i @ (^[Y1 : $i]: (~ (X1 @ (^[Y2 : $i]: ((^[Y3 : $i]: ((^[Y4 : ($i > $i) > $i > $i]: (c_Empty)))))) @ (Y0 @ c_Empty) @ Y1)))))) = $false))),
% 169.56/21.72 introduced(avatar_definition,[new_symbols(naming,[spl0_6])])).
% 169.56/21.72 thf(f864,plain,(
% 169.56/21.72 ( ! [X2 : ($i > (($i > $i) > $i) > $i) > $i > $o] : (((!! @ (((($i > $i) > $i > $i) > $i) > $i) @ (^[Y0 : ((($i > $i) > $i > $i) > $i) > $i]: (!! @ $i @ (^[Y1 : $i]: ((c_In @ (c_Inj1 @ c_Empty) @ Y1) => (~ (X2 @ (^[Y2 : $i]: ((^[Y3 : ($i > $i) > $i]: (c_Empty)))) @ c_Empty))))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: ((c_In @ (c_Repl @ Y2 @ c_Inj1) @ (c_binunion @ (c_Repl @ (c_binunion @ (c_Repl @ Y1 @ (^[Y4 : $i]: (c_Repl @ Y4 @ c_Inj1))) @ (c_Repl @ (c_binunion @ (c_Repl @ Y3 @ (^[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 @ Y3 @ (^[Y4 : $i]: (c_Repl @ Y4 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1))) @ c_Inj1))) => (~ (X2 @ (^[Y4 : $i]: ((^[Y5 : ($i > $i) > $i]: (Y0)))) @ c_Empty))))))))))) = $false) | ($false = (!! @ ($i > $i) @ (^[Y0 : $i > $i]: (!! @ $i @ (^[Y1 : $i]: ($true))))))) ) | ~spl0_6),
% 169.56/21.72 inference(boolean_simplification,[],[f863])).
% 169.56/21.72 thf(f863,plain,(
% 169.56/21.72 ( ! [X2 : ($i > (($i > $i) > $i) > $i) > $i > $o] : (($false = (!! @ ($i > $i) @ (^[Y0 : $i > $i]: (!! @ $i @ (^[Y1 : $i]: ($true)))))) | ($false = (!! @ (((($i > $i) > $i > $i) > $i) > $i) @ (^[Y0 : ((($i > $i) > $i > $i) > $i) > $i]: (!! @ $i @ (^[Y1 : $i]: ((c_In @ (c_Inj1 @ c_Empty) @ Y1) => ((X2 @ (^[Y2 : $i]: ((^[Y3 : ($i > $i) > $i]: (c_Empty)))) @ c_Empty) => $false))))))) | ((!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: ((c_In @ (c_Repl @ Y2 @ c_Inj1) @ (c_binunion @ (c_Repl @ (c_binunion @ (c_Repl @ Y1 @ (^[Y4 : $i]: (c_Repl @ Y4 @ c_Inj1))) @ (c_Repl @ (c_binunion @ (c_Repl @ Y3 @ (^[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 @ Y3 @ (^[Y4 : $i]: (c_Repl @ Y4 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1))) @ c_Inj1))) => (~ (X2 @ (^[Y4 : $i]: ((^[Y5 : ($i > $i) > $i]: (Y0)))) @ c_Empty))))))))))) = $false)) ) | ~spl0_6),
% 169.56/21.72 inference(boolean_simplification,[],[f862])).
% 169.56/21.72 thf(f862,plain,(
% 169.56/21.72 ( ! [X2 : ($i > (($i > $i) > $i) > $i) > $i > $o] : (((!! @ ($i > $i) @ (^[Y0 : $i > $i]: (!! @ $i @ (^[Y1 : $i]: (~ $false))))) = $false) | ($false = (!! @ (((($i > $i) > $i > $i) > $i) > $i) @ (^[Y0 : ((($i > $i) > $i > $i) > $i) > $i]: (!! @ $i @ (^[Y1 : $i]: ((c_In @ (c_Inj1 @ c_Empty) @ Y1) => ((X2 @ (^[Y2 : $i]: ((^[Y3 : ($i > $i) > $i]: (c_Empty)))) @ c_Empty) => $false))))))) | ((!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: ((c_In @ (c_Repl @ Y2 @ c_Inj1) @ (c_binunion @ (c_Repl @ (c_binunion @ (c_Repl @ Y1 @ (^[Y4 : $i]: (c_Repl @ Y4 @ c_Inj1))) @ (c_Repl @ (c_binunion @ (c_Repl @ Y3 @ (^[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 @ Y3 @ (^[Y4 : $i]: (c_Repl @ Y4 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1))) @ c_Inj1))) => (~ (X2 @ (^[Y4 : $i]: ((^[Y5 : ($i > $i) > $i]: (Y0)))) @ c_Empty))))))))))) = $false)) ) | ~spl0_6),
% 169.56/21.72 inference(trivial_inequality_removal,[],[f861])).
% 169.56/21.72 thf(f861,plain,(
% 169.56/21.72 ( ! [X2 : ($i > (($i > $i) > $i) > $i) > $i > $o] : (($false = $true) | ((!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: ((c_In @ (c_Repl @ Y2 @ c_Inj1) @ (c_binunion @ (c_Repl @ (c_binunion @ (c_Repl @ Y1 @ (^[Y4 : $i]: (c_Repl @ Y4 @ c_Inj1))) @ (c_Repl @ (c_binunion @ (c_Repl @ Y3 @ (^[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 @ Y3 @ (^[Y4 : $i]: (c_Repl @ Y4 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1))) @ c_Inj1))) => (~ (X2 @ (^[Y4 : $i]: ((^[Y5 : ($i > $i) > $i]: (Y0)))) @ c_Empty))))))))))) = $false) | ($false = (!! @ (((($i > $i) > $i > $i) > $i) > $i) @ (^[Y0 : ((($i > $i) > $i > $i) > $i) > $i]: (!! @ $i @ (^[Y1 : $i]: ((c_In @ (c_Inj1 @ c_Empty) @ Y1) => ((X2 @ (^[Y2 : $i]: ((^[Y3 : ($i > $i) > $i]: (c_Empty)))) @ c_Empty) => $false))))))) | ((!! @ ($i > $i) @ (^[Y0 : $i > $i]: (!! @ $i @ (^[Y1 : $i]: (~ $false))))) = $false)) ) | ~spl0_6),
% 169.56/21.72 inference(beta_eta_normalization,[],[f856])).
% 169.56/21.72 thf(f856,plain,(
% 169.56/21.72 ( ! [X2 : ($i > (($i > $i) > $i) > $i) > $i > $o] : ((((^[Y0 : $i > $i > (($i > $i) > $i > $i) > $i]: ((^[Y1 : $i]: ((^[Y2 : $i]: ($false)))))) @ (^[Y0 : $i]: ((^[Y1 : $i]: ((^[Y2 : ($i > $i) > $i > $i]: (Y0)))))) @ (sK28 @ (^[Y0 : $i > $i > (($i > $i) > $i > $i) > $i]: ((^[Y1 : $i]: ((^[Y2 : $i]: ($false))))))) @ (sK27 @ (^[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)))))) = $true) | ((!! @ (((($i > $i) > $i > $i) > $i) > $i) @ (^[Y0 : ((($i > $i) > $i > $i) > $i) > $i]: (!! @ $i @ (^[Y1 : $i]: ((c_In @ (c_Inj1 @ c_Empty) @ Y1) => ((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 > $i]: (c_Inj1 @ c_Empty)))))) @ (c_Inj1 @ (c_Inj1 @ (Y0 @ (^[Y2 : ($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 @ Y2 @ c_Inj1) @ (c_binunion @ (c_Repl @ (c_binunion @ (c_Repl @ Y1 @ (^[Y4 : $i]: (c_Repl @ Y4 @ c_Inj1))) @ (c_Repl @ (c_binunion @ (c_Repl @ Y3 @ (^[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 @ Y3 @ (^[Y4 : $i]: (c_Repl @ Y4 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1))) @ c_Inj1))) => (~ (X2 @ (^[Y4 : $i]: ((^[Y5 : ($i > $i) > $i]: (Y0)))) @ c_Empty))))))))))) = $false) | ($false = (!! @ ($i > $i) @ (^[Y0 : $i > $i]: (!! @ $i @ (^[Y1 : $i]: (~ ((^[Y2 : $i > $i > (($i > $i) > $i > $i) > $i]: ((^[Y3 : $i]: ((^[Y4 : $i]: ($false)))))) @ (^[Y2 : $i]: ((^[Y3 : $i]: ((^[Y4 : ($i > $i) > $i > $i]: (c_Empty)))))) @ (Y0 @ c_Empty) @ Y1)))))))) ) | ~spl0_6),
% 169.56/21.72 inference(primitive_instantiation,[],[f847])).
% 169.56/21.72 thf(f847,plain,(
% 169.56/21.72 ( ! [X2 : ($i > (($i > $i) > $i) > $i) > $i > $o,X1 : ($i > $i > (($i > $i) > $i > $i) > $i) > $i > $i > $o] : (((!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: ((c_In @ (c_Repl @ Y2 @ c_Inj1) @ (c_binunion @ (c_Repl @ (c_binunion @ (c_Repl @ Y1 @ (^[Y4 : $i]: (c_Repl @ Y4 @ c_Inj1))) @ (c_Repl @ (c_binunion @ (c_Repl @ Y3 @ (^[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 @ Y3 @ (^[Y4 : $i]: (c_Repl @ Y4 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1))) @ c_Inj1))) => (~ (X2 @ (^[Y4 : $i]: ((^[Y5 : ($i > $i) > $i]: (Y0)))) @ c_Empty))))))))))) = $false) | ($false = (!! @ (((($i > $i) > $i > $i) > $i) > $i) @ (^[Y0 : ((($i > $i) > $i > $i) > $i) > $i]: (!! @ $i @ (^[Y1 : $i]: ((c_In @ (c_Inj1 @ c_Empty) @ Y1) => ((X2 @ (^[Y2 : $i]: ((^[Y3 : ($i > $i) > $i]: (c_Empty)))) @ c_Empty) => (X1 @ (^[Y2 : $i]: ((^[Y3 : $i]: ((^[Y4 : ($i > $i) > $i > $i]: (c_Inj1 @ c_Empty)))))) @ (c_Inj1 @ (c_Inj1 @ (Y0 @ (^[Y2 : ($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))))))))))) | ((X1 @ (^[Y0 : $i]: ((^[Y1 : $i]: ((^[Y2 : ($i > $i) > $i > $i]: (Y0)))))) @ (sK28 @ X1) @ (sK27 @ X1 @ (^[Y0 : ($i > $i) > $i > $i]: ((^[Y1 : $i > $i]: ((^[Y2 : $i]: (c_Inj1 @ c_Empty)))))) @ (^[Y0 : $i]: ((^[Y1 : $i]: (c_Empty)))))) = $true) | ((!! @ ($i > $i) @ (^[Y0 : $i > $i]: (!! @ $i @ (^[Y1 : $i]: (~ (X1 @ (^[Y2 : $i]: ((^[Y3 : $i]: ((^[Y4 : ($i > $i) > $i > $i]: (c_Empty)))))) @ (Y0 @ c_Empty) @ Y1)))))) = $false)) ) | ~spl0_6),
% 169.56/21.72 inference(not_proxy_clausification,[],[f845])).
% 169.56/21.72 thf(f845,plain,(
% 169.56/21.72 ( ! [X2 : ($i > (($i > $i) > $i) > $i) > $i > $o,X1 : ($i > $i > (($i > $i) > $i > $i) > $i) > $i > $i > $o] : (((~ (X1 @ (^[Y0 : $i]: ((^[Y1 : $i]: ((^[Y2 : ($i > $i) > $i > $i]: (Y0)))))) @ (sK28 @ X1) @ (sK27 @ X1 @ (^[Y0 : ($i > $i) > $i > $i]: ((^[Y1 : $i > $i]: ((^[Y2 : $i]: (c_Inj1 @ c_Empty)))))) @ (^[Y0 : $i]: ((^[Y1 : $i]: (c_Empty))))))) = $false) | ($false = (!! @ (((($i > $i) > $i > $i) > $i) > $i) @ (^[Y0 : ((($i > $i) > $i > $i) > $i) > $i]: (!! @ $i @ (^[Y1 : $i]: ((c_In @ (c_Inj1 @ c_Empty) @ Y1) => ((X2 @ (^[Y2 : $i]: ((^[Y3 : ($i > $i) > $i]: (c_Empty)))) @ c_Empty) => (X1 @ (^[Y2 : $i]: ((^[Y3 : $i]: ((^[Y4 : ($i > $i) > $i > $i]: (c_Inj1 @ c_Empty)))))) @ (c_Inj1 @ (c_Inj1 @ (Y0 @ (^[Y2 : ($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 > $i) @ (^[Y0 : $i > $i]: (!! @ $i @ (^[Y1 : $i]: (~ (X1 @ (^[Y2 : $i]: ((^[Y3 : $i]: ((^[Y4 : ($i > $i) > $i > $i]: (c_Empty)))))) @ (Y0 @ c_Empty) @ Y1)))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: ((c_In @ (c_Repl @ Y2 @ c_Inj1) @ (c_binunion @ (c_Repl @ (c_binunion @ (c_Repl @ Y1 @ (^[Y4 : $i]: (c_Repl @ Y4 @ c_Inj1))) @ (c_Repl @ (c_binunion @ (c_Repl @ Y3 @ (^[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 @ Y3 @ (^[Y4 : $i]: (c_Repl @ Y4 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1))) @ c_Inj1))) => (~ (X2 @ (^[Y4 : $i]: ((^[Y5 : ($i > $i) > $i]: (Y0)))) @ c_Empty))))))))))) = $false)) ) | ~spl0_6),
% 169.56/21.72 inference(binary_proxy_clausification,[],[f844])).
% 169.56/21.72 thf(f844,plain,(
% 169.56/21.72 ( ! [X2 : ($i > (($i > $i) > $i) > $i) > $i > $o,X1 : ($i > $i > (($i > $i) > $i > $i) > $i) > $i > $i > $o] : (($false = ((c_In @ (c_Repl @ c_Empty @ c_Inj1) @ (c_binunion @ (c_Repl @ c_Empty @ (^[Y0 : $i]: (c_Repl @ Y0 @ c_Inj1))) @ (c_Repl @ (sK26 @ X1 @ (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))) => (~ (X1 @ (^[Y0 : $i]: ((^[Y1 : $i]: ((^[Y2 : ($i > $i) > $i > $i]: (Y0)))))) @ (sK28 @ X1) @ (sK27 @ X1 @ (^[Y0 : ($i > $i) > $i > $i]: ((^[Y1 : $i > $i]: ((^[Y2 : $i]: (c_Inj1 @ c_Empty)))))) @ (^[Y0 : $i]: ((^[Y1 : $i]: (c_Empty))))))))) | ((!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: ((c_In @ (c_Repl @ Y2 @ c_Inj1) @ (c_binunion @ (c_Repl @ (c_binunion @ (c_Repl @ Y1 @ (^[Y4 : $i]: (c_Repl @ Y4 @ c_Inj1))) @ (c_Repl @ (c_binunion @ (c_Repl @ Y3 @ (^[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 @ Y3 @ (^[Y4 : $i]: (c_Repl @ Y4 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1))) @ c_Inj1))) => (~ (X2 @ (^[Y4 : $i]: ((^[Y5 : ($i > $i) > $i]: (Y0)))) @ c_Empty))))))))))) = $false) | ($false = (!! @ (((($i > $i) > $i > $i) > $i) > $i) @ (^[Y0 : ((($i > $i) > $i > $i) > $i) > $i]: (!! @ $i @ (^[Y1 : $i]: ((c_In @ (c_Inj1 @ c_Empty) @ Y1) => ((X2 @ (^[Y2 : $i]: ((^[Y3 : ($i > $i) > $i]: (c_Empty)))) @ c_Empty) => (X1 @ (^[Y2 : $i]: ((^[Y3 : $i]: ((^[Y4 : ($i > $i) > $i > $i]: (c_Inj1 @ c_Empty)))))) @ (c_Inj1 @ (c_Inj1 @ (Y0 @ (^[Y2 : ($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 > $i) @ (^[Y0 : $i > $i]: (!! @ $i @ (^[Y1 : $i]: (~ (X1 @ (^[Y2 : $i]: ((^[Y3 : $i]: ((^[Y4 : ($i > $i) > $i > $i]: (c_Empty)))))) @ (Y0 @ c_Empty) @ Y1)))))) = $false)) ) | ~spl0_6),
% 169.56/21.72 inference(beta_eta_normalization,[],[f843])).
% 169.56/21.72 thf(f843,plain,(
% 169.56/21.72 ( ! [X2 : ($i > (($i > $i) > $i) > $i) > $i > $o,X1 : ($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]: ((c_In @ (c_Inj1 @ c_Empty) @ Y1) => ((X2 @ (^[Y2 : $i]: ((^[Y3 : ($i > $i) > $i]: (c_Empty)))) @ c_Empty) => (X1 @ (^[Y2 : $i]: ((^[Y3 : $i]: ((^[Y4 : ($i > $i) > $i > $i]: (c_Inj1 @ c_Empty)))))) @ (c_Inj1 @ (c_Inj1 @ (Y0 @ (^[Y2 : ($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 = ((^[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 @ (sK26 @ X1 @ (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))) => (~ (X1 @ (^[Y1 : $i]: ((^[Y2 : $i]: ((^[Y3 : ($i > $i) > $i > $i]: (Y1)))))) @ Y0 @ (sK27 @ X1 @ (^[Y1 : ($i > $i) > $i > $i]: ((^[Y2 : $i > $i]: ((^[Y3 : $i]: (c_Inj1 @ c_Empty)))))) @ (^[Y1 : $i]: ((^[Y2 : $i]: (c_Empty))))))))) @ (sK28 @ X1))) | ((!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: ((c_In @ (c_Repl @ Y2 @ c_Inj1) @ (c_binunion @ (c_Repl @ (c_binunion @ (c_Repl @ Y1 @ (^[Y4 : $i]: (c_Repl @ Y4 @ c_Inj1))) @ (c_Repl @ (c_binunion @ (c_Repl @ Y3 @ (^[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 @ Y3 @ (^[Y4 : $i]: (c_Repl @ Y4 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1))) @ c_Inj1))) => (~ (X2 @ (^[Y4 : $i]: ((^[Y5 : ($i > $i) > $i]: (Y0)))) @ c_Empty))))))))))) = $false) | ((!! @ ($i > $i) @ (^[Y0 : $i > $i]: (!! @ $i @ (^[Y1 : $i]: (~ (X1 @ (^[Y2 : $i]: ((^[Y3 : $i]: ((^[Y4 : ($i > $i) > $i > $i]: (c_Empty)))))) @ (Y0 @ c_Empty) @ Y1)))))) = $false)) ) | ~spl0_6),
% 169.56/21.72 inference(sigma_clausification,[],[f840])).
% 169.56/21.72 thf(f840,plain,(
% 169.56/21.72 ( ! [X2 : ($i > (($i > $i) > $i) > $i) > $i > $o,X1 : ($i > $i > (($i > $i) > $i > $i) > $i) > $i > $i > $o] : (($false = (!! @ $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 @ (sK26 @ X1 @ (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))) => (~ (X1 @ (^[Y1 : $i]: ((^[Y2 : $i]: ((^[Y3 : ($i > $i) > $i > $i]: (Y1)))))) @ Y0 @ (sK27 @ X1 @ (^[Y1 : ($i > $i) > $i > $i]: ((^[Y2 : $i > $i]: ((^[Y3 : $i]: (c_Inj1 @ c_Empty)))))) @ (^[Y1 : $i]: ((^[Y2 : $i]: (c_Empty))))))))))) | ((!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: ((c_In @ (c_Repl @ Y2 @ c_Inj1) @ (c_binunion @ (c_Repl @ (c_binunion @ (c_Repl @ Y1 @ (^[Y4 : $i]: (c_Repl @ Y4 @ c_Inj1))) @ (c_Repl @ (c_binunion @ (c_Repl @ Y3 @ (^[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 @ Y3 @ (^[Y4 : $i]: (c_Repl @ Y4 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1))) @ c_Inj1))) => (~ (X2 @ (^[Y4 : $i]: ((^[Y5 : ($i > $i) > $i]: (Y0)))) @ c_Empty))))))))))) = $false) | ($false = (!! @ (((($i > $i) > $i > $i) > $i) > $i) @ (^[Y0 : ((($i > $i) > $i > $i) > $i) > $i]: (!! @ $i @ (^[Y1 : $i]: ((c_In @ (c_Inj1 @ c_Empty) @ Y1) => ((X2 @ (^[Y2 : $i]: ((^[Y3 : ($i > $i) > $i]: (c_Empty)))) @ c_Empty) => (X1 @ (^[Y2 : $i]: ((^[Y3 : $i]: ((^[Y4 : ($i > $i) > $i > $i]: (c_Inj1 @ c_Empty)))))) @ (c_Inj1 @ (c_Inj1 @ (Y0 @ (^[Y2 : ($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 > $i) @ (^[Y0 : $i > $i]: (!! @ $i @ (^[Y1 : $i]: (~ (X1 @ (^[Y2 : $i]: ((^[Y3 : $i]: ((^[Y4 : ($i > $i) > $i > $i]: (c_Empty)))))) @ (Y0 @ c_Empty) @ Y1)))))) = $false)) ) | ~spl0_6),
% 169.56/21.72 inference(beta_eta_normalization,[],[f839])).
% 169.56/21.72 thf(f839,plain,(
% 169.56/21.72 ( ! [X2 : ($i > (($i > $i) > $i) > $i) > $i > $o,X1 : ($i > $i > (($i > $i) > $i > $i) > $i) > $i > $i > $o] : (((!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: ((c_In @ (c_Repl @ Y2 @ c_Inj1) @ (c_binunion @ (c_Repl @ (c_binunion @ (c_Repl @ Y1 @ (^[Y4 : $i]: (c_Repl @ Y4 @ c_Inj1))) @ (c_Repl @ (c_binunion @ (c_Repl @ Y3 @ (^[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 @ Y3 @ (^[Y4 : $i]: (c_Repl @ Y4 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1))) @ c_Inj1))) => (~ (X2 @ (^[Y4 : $i]: ((^[Y5 : ($i > $i) > $i]: (Y0)))) @ c_Empty))))))))))) = $false) | ($false = (!! @ (((($i > $i) > $i > $i) > $i) > $i) @ (^[Y0 : ((($i > $i) > $i > $i) > $i) > $i]: (!! @ $i @ (^[Y1 : $i]: ((c_In @ (c_Inj1 @ c_Empty) @ Y1) => ((X2 @ (^[Y2 : $i]: ((^[Y3 : ($i > $i) > $i]: (c_Empty)))) @ c_Empty) => (X1 @ (^[Y2 : $i]: ((^[Y3 : $i]: ((^[Y4 : ($i > $i) > $i > $i]: (c_Inj1 @ c_Empty)))))) @ (c_Inj1 @ (c_Inj1 @ (Y0 @ (^[Y2 : ($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 > $i) @ (^[Y0 : $i > $i]: (!! @ $i @ (^[Y1 : $i]: (~ (X1 @ (^[Y2 : $i]: ((^[Y3 : $i]: ((^[Y4 : ($i > $i) > $i > $i]: (c_Empty)))))) @ (Y0 @ c_Empty) @ Y1)))))) = $false) | (((^[Y0 : ((($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 @ (sK26 @ X1 @ (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))) => (~ (X1 @ (^[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))))))))))) @ (sK27 @ X1)) = $false)) ) | ~spl0_6),
% 169.56/21.72 inference(sigma_clausification,[],[f836])).
% 169.56/21.72 thf(f836,plain,(
% 169.56/21.72 ( ! [X2 : ($i > (($i > $i) > $i) > $i) > $i > $o,X1 : ($i > $i > (($i > $i) > $i > $i) > $i) > $i > $i > $o] : (($false = (!! @ (((($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 @ (sK26 @ X1 @ (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))) => (~ (X1 @ (^[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))))))))))))) | ((!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: ((c_In @ (c_Repl @ Y2 @ c_Inj1) @ (c_binunion @ (c_Repl @ (c_binunion @ (c_Repl @ Y1 @ (^[Y4 : $i]: (c_Repl @ Y4 @ c_Inj1))) @ (c_Repl @ (c_binunion @ (c_Repl @ Y3 @ (^[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 @ Y3 @ (^[Y4 : $i]: (c_Repl @ Y4 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1))) @ c_Inj1))) => (~ (X2 @ (^[Y4 : $i]: ((^[Y5 : ($i > $i) > $i]: (Y0)))) @ c_Empty))))))))))) = $false) | ($false = (!! @ (((($i > $i) > $i > $i) > $i) > $i) @ (^[Y0 : ((($i > $i) > $i > $i) > $i) > $i]: (!! @ $i @ (^[Y1 : $i]: ((c_In @ (c_Inj1 @ c_Empty) @ Y1) => ((X2 @ (^[Y2 : $i]: ((^[Y3 : ($i > $i) > $i]: (c_Empty)))) @ c_Empty) => (X1 @ (^[Y2 : $i]: ((^[Y3 : $i]: ((^[Y4 : ($i > $i) > $i > $i]: (c_Inj1 @ c_Empty)))))) @ (c_Inj1 @ (c_Inj1 @ (Y0 @ (^[Y2 : ($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 > $i) @ (^[Y0 : $i > $i]: (!! @ $i @ (^[Y1 : $i]: (~ (X1 @ (^[Y2 : $i]: ((^[Y3 : $i]: ((^[Y4 : ($i > $i) > $i > $i]: (c_Empty)))))) @ (Y0 @ c_Empty) @ Y1)))))) = $false)) ) | ~spl0_6),
% 169.56/21.72 inference(beta_eta_normalization,[],[f835])).
% 169.56/21.72 thf(f835,plain,(
% 169.56/21.72 ( ! [X2 : ($i > (($i > $i) > $i) > $i) > $i > $o,X1 : ($i > $i > (($i > $i) > $i > $i) > $i) > $i > $i > $o] : (($false = ((^[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))) => (~ (X1 @ (^[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))))))))))))) @ (sK26 @ X1))) | ((!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: ((c_In @ (c_Repl @ Y2 @ c_Inj1) @ (c_binunion @ (c_Repl @ (c_binunion @ (c_Repl @ Y1 @ (^[Y4 : $i]: (c_Repl @ Y4 @ c_Inj1))) @ (c_Repl @ (c_binunion @ (c_Repl @ Y3 @ (^[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 @ Y3 @ (^[Y4 : $i]: (c_Repl @ Y4 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1))) @ c_Inj1))) => (~ (X2 @ (^[Y4 : $i]: ((^[Y5 : ($i > $i) > $i]: (Y0)))) @ c_Empty))))))))))) = $false) | ($false = (!! @ (((($i > $i) > $i > $i) > $i) > $i) @ (^[Y0 : ((($i > $i) > $i > $i) > $i) > $i]: (!! @ $i @ (^[Y1 : $i]: ((c_In @ (c_Inj1 @ c_Empty) @ Y1) => ((X2 @ (^[Y2 : $i]: ((^[Y3 : ($i > $i) > $i]: (c_Empty)))) @ c_Empty) => (X1 @ (^[Y2 : $i]: ((^[Y3 : $i]: ((^[Y4 : ($i > $i) > $i > $i]: (c_Inj1 @ c_Empty)))))) @ (c_Inj1 @ (c_Inj1 @ (Y0 @ (^[Y2 : ($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 > $i) @ (^[Y0 : $i > $i]: (!! @ $i @ (^[Y1 : $i]: (~ (X1 @ (^[Y2 : $i]: ((^[Y3 : $i]: ((^[Y4 : ($i > $i) > $i > $i]: (c_Empty)))))) @ (Y0 @ c_Empty) @ Y1)))))) = $false)) ) | ~spl0_6),
% 169.56/21.72 inference(sigma_clausification,[],[f550])).
% 169.56/21.72 thf(f550,plain,(
% 169.56/21.72 ( ! [X2 : ($i > (($i > $i) > $i) > $i) > $i > $o,X1 : ($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))) => (~ (X1 @ (^[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))))))))))))))) | ((!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: ((c_In @ (c_Repl @ Y2 @ c_Inj1) @ (c_binunion @ (c_Repl @ (c_binunion @ (c_Repl @ Y1 @ (^[Y4 : $i]: (c_Repl @ Y4 @ c_Inj1))) @ (c_Repl @ (c_binunion @ (c_Repl @ Y3 @ (^[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 @ Y3 @ (^[Y4 : $i]: (c_Repl @ Y4 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1))) @ c_Inj1))) => (~ (X2 @ (^[Y4 : $i]: ((^[Y5 : ($i > $i) > $i]: (Y0)))) @ c_Empty))))))))))) = $false) | ($false = (!! @ (((($i > $i) > $i > $i) > $i) > $i) @ (^[Y0 : ((($i > $i) > $i > $i) > $i) > $i]: (!! @ $i @ (^[Y1 : $i]: ((c_In @ (c_Inj1 @ c_Empty) @ Y1) => ((X2 @ (^[Y2 : $i]: ((^[Y3 : ($i > $i) > $i]: (c_Empty)))) @ c_Empty) => (X1 @ (^[Y2 : $i]: ((^[Y3 : $i]: ((^[Y4 : ($i > $i) > $i > $i]: (c_Inj1 @ c_Empty)))))) @ (c_Inj1 @ (c_Inj1 @ (Y0 @ (^[Y2 : ($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 > $i) @ (^[Y0 : $i > $i]: (!! @ $i @ (^[Y1 : $i]: (~ (X1 @ (^[Y2 : $i]: ((^[Y3 : $i]: ((^[Y4 : ($i > $i) > $i > $i]: (c_Empty)))))) @ (Y0 @ c_Empty) @ Y1)))))) = $false)) ) | ~spl0_6),
% 169.56/21.72 inference(avatar_component_clause,[],[f549])).
% 169.56/21.72 thf(f795,plain,(
% 169.56/21.72 ~spl0_5),
% 169.56/21.72 inference(avatar_contradiction_clause,[],[f794])).
% 169.56/21.72 thf(f794,plain,(
% 169.56/21.72 $false | ~spl0_5),
% 169.56/21.72 inference(trivial_inequality_removal,[],[f793])).
% 169.56/21.72 thf(f793,plain,(
% 169.56/21.72 ($false = $true) | ~spl0_5),
% 169.56/21.72 inference(duplicate_literal_removal,[],[f792])).
% 169.56/21.72 thf(f792,plain,(
% 169.56/21.72 ($false = $true) | ($false = $true) | ~spl0_5),
% 169.56/21.72 inference(beta_eta_normalization,[],[f786])).
% 169.56/21.72 thf(f786,plain,(
% 169.56/21.72 (((^[Y0 : $i > ($i > $i > $i) > $i]: ((^[Y1 : $i]: ((^[Y2 : $i]: ($false)))))) @ (^[Y0 : $i]: ((^[Y1 : $i > $i > $i]: (c_Empty)))) @ c_Empty @ c_Empty) = $true) | ($true = ((^[Y0 : $i > ($i > $i > $i) > $i]: ((^[Y1 : $i]: ((^[Y2 : $i]: ($false)))))) @ (^[Y0 : $i]: ((^[Y1 : $i > $i > $i]: (c_Empty)))) @ (sK14 @ (^[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 : $i]: (c_Repl @ Y0 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1))) @ c_Inj1)) @ c_Inj1)))) | ~spl0_5),
% 169.56/21.72 inference(primitive_instantiation,[],[f734])).
% 169.56/21.72 thf(f734,plain,(
% 169.56/21.72 ( ! [X4 : ($i > ($i > $i > $i) > $i) > $i > $i > $o] : (((X4 @ (^[Y0 : $i]: ((^[Y1 : $i > $i > $i]: (c_Empty)))) @ (sK14 @ X4) @ (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) | ((X4 @ (^[Y0 : $i]: ((^[Y1 : $i > $i > $i]: (c_Empty)))) @ c_Empty @ c_Empty) = $true)) ) | ~spl0_5),
% 169.56/21.72 inference(binary_proxy_clausification,[],[f666])).
% 169.56/21.72 thf(f666,plain,(
% 169.56/21.72 ( ! [X4 : ($i > ($i > $i > $i) > $i) > $i > $i > $o] : (($false = ((X4 @ (^[Y0 : $i]: ((^[Y1 : $i > $i > $i]: (c_Empty)))) @ (sK14 @ X4) @ (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))) => (X4 @ (^[Y0 : $i]: ((^[Y1 : $i > $i > $i]: (sK14 @ X4)))) @ (c_binunion @ (c_Repl @ (sK13 @ X4 @ (^[Y0 : ($i > $i) > $i > $i]: (sK14 @ X4))) @ (^[Y0 : $i]: (c_Repl @ Y0 @ c_Inj1))) @ (c_Repl @ (sK9 @ X4) @ 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)))) | ((X4 @ (^[Y0 : $i]: ((^[Y1 : $i > $i > $i]: (c_Empty)))) @ c_Empty @ c_Empty) = $true)) ) | ~spl0_5),
% 169.56/21.72 inference(beta_eta_normalization,[],[f665])).
% 169.56/21.72 thf(f665,plain,(
% 169.56/21.72 ( ! [X4 : ($i > ($i > $i > $i) > $i) > $i > $i > $o] : (((X4 @ (^[Y0 : $i]: ((^[Y1 : $i > $i > $i]: (c_Empty)))) @ c_Empty @ c_Empty) = $true) | ($false = ((^[Y0 : $i]: ((X4 @ (^[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))) => (X4 @ (^[Y1 : $i]: ((^[Y2 : $i > $i > $i]: (Y0)))) @ (c_binunion @ (c_Repl @ (sK13 @ X4 @ (^[Y1 : ($i > $i) > $i > $i]: (Y0))) @ (^[Y1 : $i]: (c_Repl @ Y1 @ c_Inj1))) @ (c_Repl @ (sK9 @ X4) @ 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 : $i]: (c_Repl @ Y1 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1)) @ c_Inj1))) @ c_Inj1)))) @ (sK14 @ X4)))) ) | ~spl0_5),
% 169.56/21.72 inference(sigma_clausification,[],[f662])).
% 169.56/21.72 thf(f662,plain,(
% 169.56/21.72 ( ! [X4 : ($i > ($i > $i > $i) > $i) > $i > $i > $o] : (($false = (!! @ $i @ (^[Y0 : $i]: ((X4 @ (^[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))) => (X4 @ (^[Y1 : $i]: ((^[Y2 : $i > $i > $i]: (Y0)))) @ (c_binunion @ (c_Repl @ (sK13 @ X4 @ (^[Y1 : ($i > $i) > $i > $i]: (Y0))) @ (^[Y1 : $i]: (c_Repl @ Y1 @ c_Inj1))) @ (c_Repl @ (sK9 @ X4) @ 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)))))) | ((X4 @ (^[Y0 : $i]: ((^[Y1 : $i > $i > $i]: (c_Empty)))) @ c_Empty @ c_Empty) = $true)) ) | ~spl0_5),
% 169.56/21.72 inference(beta_eta_normalization,[],[f661])).
% 169.56/21.72 thf(f661,plain,(
% 169.56/21.72 ( ! [X4 : ($i > ($i > $i > $i) > $i) > $i > $i > $o] : (($false = ((^[Y0 : ((($i > $i) > $i > $i) > $i) > $i]: (!! @ $i @ (^[Y1 : $i]: ((X4 @ (^[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))) => (X4 @ (^[Y2 : $i]: ((^[Y3 : $i > $i > $i]: (Y1)))) @ (c_binunion @ (c_Repl @ (Y0 @ (^[Y2 : ($i > $i) > $i > $i]: (Y1))) @ (^[Y2 : $i]: (c_Repl @ Y2 @ c_Inj1))) @ (c_Repl @ (sK9 @ X4) @ 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)))))) @ (sK13 @ X4))) | ((X4 @ (^[Y0 : $i]: ((^[Y1 : $i > $i > $i]: (c_Empty)))) @ c_Empty @ c_Empty) = $true)) ) | ~spl0_5),
% 169.56/21.72 inference(sigma_clausification,[],[f642])).
% 169.56/21.72 thf(f642,plain,(
% 169.56/21.72 ( ! [X4 : ($i > ($i > $i > $i) > $i) > $i > $i > $o] : (((!! @ (((($i > $i) > $i > $i) > $i) > $i) @ (^[Y0 : ((($i > $i) > $i > $i) > $i) > $i]: (!! @ $i @ (^[Y1 : $i]: ((X4 @ (^[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))) => (X4 @ (^[Y2 : $i]: ((^[Y3 : $i > $i > $i]: (Y1)))) @ (c_binunion @ (c_Repl @ (Y0 @ (^[Y2 : ($i > $i) > $i > $i]: (Y1))) @ (^[Y2 : $i]: (c_Repl @ Y2 @ c_Inj1))) @ (c_Repl @ (sK9 @ X4) @ 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))))))) = $false) | ((X4 @ (^[Y0 : $i]: ((^[Y1 : $i > $i > $i]: (c_Empty)))) @ c_Empty @ c_Empty) = $true)) ) | ~spl0_5),
% 169.56/21.72 inference(beta_eta_normalization,[],[f641])).
% 169.56/21.72 thf(f641,plain,(
% 169.56/21.72 ( ! [X4 : ($i > ($i > $i > $i) > $i) > $i > $i > $o] : ((((^[Y0 : $i]: (!! @ (((($i > $i) > $i > $i) > $i) > $i) @ (^[Y1 : ((($i > $i) > $i > $i) > $i) > $i]: (!! @ $i @ (^[Y2 : $i]: ((X4 @ (^[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))) => (X4 @ (^[Y3 : $i]: ((^[Y4 : $i > $i > $i]: (Y2)))) @ (c_binunion @ (c_Repl @ (Y1 @ (^[Y3 : ($i > $i) > $i > $i]: (Y2))) @ (^[Y3 : $i]: (c_Repl @ Y3 @ c_Inj1))) @ (c_Repl @ Y0 @ 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 @ X4)) = $false) | ((X4 @ (^[Y0 : $i]: ((^[Y1 : $i > $i > $i]: (c_Empty)))) @ c_Empty @ c_Empty) = $true)) ) | ~spl0_5),
% 169.56/21.72 inference(sigma_clausification,[],[f547])).
% 169.56/21.72 thf(f547,plain,(
% 169.56/21.72 ( ! [X4 : ($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]: (!! @ $i @ (^[Y2 : $i]: ((X4 @ (^[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))) => (X4 @ (^[Y3 : $i]: ((^[Y4 : $i > $i > $i]: (Y2)))) @ (c_binunion @ (c_Repl @ (Y1 @ (^[Y3 : ($i > $i) > $i > $i]: (Y2))) @ (^[Y3 : $i]: (c_Repl @ Y3 @ c_Inj1))) @ (c_Repl @ Y0 @ 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)))))))))) | ((X4 @ (^[Y0 : $i]: ((^[Y1 : $i > $i > $i]: (c_Empty)))) @ c_Empty @ c_Empty) = $true)) ) | ~spl0_5),
% 169.56/21.72 inference(avatar_component_clause,[],[f546])).
% 169.56/21.72 thf(f546,plain,(
% 169.56/21.72 spl0_5 <=> ! [X4 : ($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]: (!! @ $i @ (^[Y2 : $i]: ((X4 @ (^[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))) => (X4 @ (^[Y3 : $i]: ((^[Y4 : $i > $i > $i]: (Y2)))) @ (c_binunion @ (c_Repl @ (Y1 @ (^[Y3 : ($i > $i) > $i > $i]: (Y2))) @ (^[Y3 : $i]: (c_Repl @ Y3 @ c_Inj1))) @ (c_Repl @ Y0 @ 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)))))))))) | ((X4 @ (^[Y0 : $i]: ((^[Y1 : $i > $i > $i]: (c_Empty)))) @ c_Empty @ c_Empty) = $true))),
% 169.56/21.72 introduced(avatar_definition,[new_symbols(naming,[spl0_5])])).
% 169.56/21.72 thf(f590,plain,(
% 169.56/21.72 ~spl0_4),
% 169.56/21.72 inference(avatar_contradiction_clause,[],[f589])).
% 169.56/21.72 thf(f589,plain,(
% 169.56/21.72 $false | ~spl0_4),
% 169.56/21.72 inference(trivial_inequality_removal,[],[f588])).
% 169.56/21.72 thf(f588,plain,(
% 169.56/21.72 ($false = $true) | ~spl0_4),
% 169.56/21.72 inference(beta_eta_normalization,[],[f587])).
% 169.56/21.72 thf(f587,plain,(
% 169.56/21.72 (((^[Y0 : (($i > $i > $i) > ($i > $i) > $i > $i) > $i]: ($true)) @ sK23) = $false) | ~spl0_4),
% 169.56/21.72 inference(sigma_clausification,[],[f571])).
% 169.56/21.72 thf(f571,plain,(
% 169.56/21.72 ((!! @ ((($i > $i > $i) > ($i > $i) > $i > $i) > $i) @ (^[Y0 : (($i > $i > $i) > ($i > $i) > $i > $i) > $i]: ($true))) = $false) | ~spl0_4),
% 169.56/21.72 inference(beta_eta_normalization,[],[f570])).
% 169.56/21.72 thf(f570,plain,(
% 169.56/21.72 ($false = ((^[Y0 : $i]: (!! @ ((($i > $i > $i) > ($i > $i) > $i > $i) > $i) @ (^[Y1 : (($i > $i > $i) > ($i > $i) > $i > $i) > $i]: ($true)))) @ sK22)) | ~spl0_4),
% 169.56/21.72 inference(sigma_clausification,[],[f553])).
% 169.56/21.72 thf(f553,plain,(
% 169.56/21.72 ($false = (!! @ $i @ (^[Y0 : $i]: (!! @ ((($i > $i > $i) > ($i > $i) > $i > $i) > $i) @ (^[Y1 : (($i > $i > $i) > ($i > $i) > $i > $i) > $i]: ($true)))))) | ~spl0_4),
% 169.56/21.72 inference(beta_eta_normalization,[],[f552])).
% 169.56/21.72 thf(f552,plain,(
% 169.56/21.72 ($false = ((^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (!! @ ((($i > $i > $i) > ($i > $i) > $i > $i) > $i) @ (^[Y2 : (($i > $i > $i) > ($i > $i) > $i > $i) > $i]: ($true)))))) @ sK21)) | ~spl0_4),
% 169.56/21.72 inference(sigma_clausification,[],[f544])).
% 169.56/21.72 thf(f544,plain,(
% 169.56/21.72 ((!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (!! @ ((($i > $i > $i) > ($i > $i) > $i > $i) > $i) @ (^[Y2 : (($i > $i > $i) > ($i > $i) > $i > $i) > $i]: ($true))))))) = $false) | ~spl0_4),
% 169.56/21.72 inference(avatar_component_clause,[],[f542])).
% 169.56/21.72 thf(f542,plain,(
% 169.56/21.72 spl0_4 <=> ((!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (!! @ ((($i > $i > $i) > ($i > $i) > $i > $i) > $i) @ (^[Y2 : (($i > $i > $i) > ($i > $i) > $i > $i) > $i]: ($true))))))) = $false)),
% 169.56/21.72 introduced(avatar_definition,[new_symbols(naming,[spl0_4])])).
% 169.56/21.72 thf(f551,plain,(
% 169.56/21.72 spl0_4 | spl0_5 | spl0_6),
% 169.56/21.72 inference(avatar_split_clause,[],[f536,f549,f546,f542])).
% 169.56/21.72 thf(f536,plain,(
% 169.56/21.72 ( ! [X2 : ($i > (($i > $i) > $i) > $i) > $i > $o,X1 : ($i > $i > (($i > $i) > $i > $i) > $i) > $i > $i > $o,X4 : ($i > ($i > $i > $i) > $i) > $i > $i > $o] : (((!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: ((c_In @ (c_Repl @ Y2 @ c_Inj1) @ (c_binunion @ (c_Repl @ (c_binunion @ (c_Repl @ Y1 @ (^[Y4 : $i]: (c_Repl @ Y4 @ c_Inj1))) @ (c_Repl @ (c_binunion @ (c_Repl @ Y3 @ (^[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 @ Y3 @ (^[Y4 : $i]: (c_Repl @ Y4 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1))) @ c_Inj1))) => (~ (X2 @ (^[Y4 : $i]: ((^[Y5 : ($i > $i) > $i]: (Y0)))) @ c_Empty))))))))))) = $false) | ((!! @ ($i > $i) @ (^[Y0 : $i > $i]: (!! @ $i @ (^[Y1 : $i]: (~ (X1 @ (^[Y2 : $i]: ((^[Y3 : $i]: ((^[Y4 : ($i > $i) > $i > $i]: (c_Empty)))))) @ (Y0 @ c_Empty) @ Y1)))))) = $false) | ($false = (!! @ (((($i > $i) > $i > $i) > $i) > $i) @ (^[Y0 : ((($i > $i) > $i > $i) > $i) > $i]: (!! @ $i @ (^[Y1 : $i]: ((c_In @ (c_Inj1 @ c_Empty) @ Y1) => ((X2 @ (^[Y2 : $i]: ((^[Y3 : ($i > $i) > $i]: (c_Empty)))) @ c_Empty) => (X1 @ (^[Y2 : $i]: ((^[Y3 : $i]: ((^[Y4 : ($i > $i) > $i > $i]: (c_Inj1 @ c_Empty)))))) @ (c_Inj1 @ (c_Inj1 @ (Y0 @ (^[Y2 : ($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))) => (~ (X1 @ (^[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))))))))))))))) | ((!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (!! @ ((($i > $i > $i) > ($i > $i) > $i > $i) > $i) @ (^[Y2 : (($i > $i > $i) > ($i > $i) > $i > $i) > $i]: ($true))))))) = $false) | ($false = (!! @ $i @ (^[Y0 : $i]: (!! @ (((($i > $i) > $i > $i) > $i) > $i) @ (^[Y1 : ((($i > $i) > $i > $i) > $i) > $i]: (!! @ $i @ (^[Y2 : $i]: ((X4 @ (^[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))) => (X4 @ (^[Y3 : $i]: ((^[Y4 : $i > $i > $i]: (Y2)))) @ (c_binunion @ (c_Repl @ (Y1 @ (^[Y3 : ($i > $i) > $i > $i]: (Y2))) @ (^[Y3 : $i]: (c_Repl @ Y3 @ c_Inj1))) @ (c_Repl @ Y0 @ 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)))))))))) | ((X4 @ (^[Y0 : $i]: ((^[Y1 : $i > $i > $i]: (c_Empty)))) @ c_Empty @ c_Empty) = $true)) )),
% 169.56/21.72 inference(boolean_simplification,[],[f535])).
% 169.56/21.72 thf(f535,plain,(
% 169.56/21.72 ( ! [X2 : ($i > (($i > $i) > $i) > $i) > $i > $o,X1 : ($i > $i > (($i > $i) > $i > $i) > $i) > $i > $i > $o,X4 : ($i > ($i > $i > $i) > $i) > $i > $i > $o] : (((!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (!! @ ((($i > $i > $i) > ($i > $i) > $i > $i) > $i) @ (^[Y2 : (($i > $i > $i) > ($i > $i) > $i > $i) > $i]: ($true))))))) = $false) | ($false = (!! @ $i @ (^[Y0 : $i]: (!! @ (((($i > $i) > $i > $i) > $i) > $i) @ (^[Y1 : ((($i > $i) > $i > $i) > $i) > $i]: (!! @ $i @ (^[Y2 : $i]: ((X4 @ (^[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))) => (X4 @ (^[Y3 : $i]: ((^[Y4 : $i > $i > $i]: (Y2)))) @ (c_binunion @ (c_Repl @ (Y1 @ (^[Y3 : ($i > $i) > $i > $i]: (Y2))) @ (^[Y3 : $i]: (c_Repl @ Y3 @ c_Inj1))) @ (c_Repl @ Y0 @ 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 @ Y2 @ c_Inj1) @ (c_binunion @ (c_Repl @ (c_binunion @ (c_Repl @ Y1 @ (^[Y4 : $i]: (c_Repl @ Y4 @ c_Inj1))) @ (c_Repl @ (c_binunion @ (c_Repl @ Y3 @ (^[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 @ Y3 @ (^[Y4 : $i]: (c_Repl @ Y4 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1))) @ c_Inj1))) => ((X2 @ (^[Y4 : $i]: ((^[Y5 : ($i > $i) > $i]: (Y0)))) @ c_Empty) => $false))))))))))) | ($false = (!! @ (((($i > $i) > $i > $i) > $i) > $i) @ (^[Y0 : ((($i > $i) > $i > $i) > $i) > $i]: (!! @ $i @ (^[Y1 : $i]: ((c_In @ (c_Inj1 @ c_Empty) @ Y1) => ((X2 @ (^[Y2 : $i]: ((^[Y3 : ($i > $i) > $i]: (c_Empty)))) @ c_Empty) => (X1 @ (^[Y2 : $i]: ((^[Y3 : $i]: ((^[Y4 : ($i > $i) > $i > $i]: (c_Inj1 @ c_Empty)))))) @ (c_Inj1 @ (c_Inj1 @ (Y0 @ (^[Y2 : ($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))))))))))) | ((X4 @ (^[Y0 : $i]: ((^[Y1 : $i > $i > $i]: (c_Empty)))) @ c_Empty @ c_Empty) = $true) | ($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))) => (~ (X1 @ (^[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 : $i]: (c_Empty))))))))))))))) | ((!! @ ($i > $i) @ (^[Y0 : $i > $i]: (!! @ $i @ (^[Y1 : $i]: (~ (X1 @ (^[Y2 : $i]: ((^[Y3 : $i]: ((^[Y4 : ($i > $i) > $i > $i]: (c_Empty)))))) @ (Y0 @ c_Empty) @ Y1)))))) = $false)) )),
% 169.56/21.72 inference(boolean_simplification,[],[f534])).
% 169.56/21.72 thf(f534,plain,(
% 169.56/21.72 ( ! [X2 : ($i > (($i > $i) > $i) > $i) > $i > $o,X1 : ($i > $i > (($i > $i) > $i > $i) > $i) > $i > $i > $o,X4 : ($i > ($i > $i > $i) > $i) > $i > $i > $o] : (((!! @ ($i > $i) @ (^[Y0 : $i > $i]: (!! @ $i @ (^[Y1 : $i]: (~ (X1 @ (^[Y2 : $i]: ((^[Y3 : $i]: ((^[Y4 : ($i > $i) > $i > $i]: (c_Empty)))))) @ (Y0 @ c_Empty) @ Y1)))))) = $false) | ((X4 @ (^[Y0 : $i]: ((^[Y1 : $i > $i > $i]: (c_Empty)))) @ c_Empty @ c_Empty) = $true) | ($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))) => (~ (X1 @ (^[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))))))))))))))) | ((!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (!! @ ((($i > $i > $i) > ($i > $i) > $i > $i) > $i) @ (^[Y2 : (($i > $i > $i) > ($i > $i) > $i > $i) > $i]: ((c_In @ (c_Repl @ Y0 @ 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 @ Y0 @ (^[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))))))) = $false) | ($false = (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: ((c_In @ (c_Repl @ Y2 @ c_Inj1) @ (c_binunion @ (c_Repl @ (c_binunion @ (c_Repl @ Y1 @ (^[Y4 : $i]: (c_Repl @ Y4 @ c_Inj1))) @ (c_Repl @ (c_binunion @ (c_Repl @ Y3 @ (^[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 @ Y3 @ (^[Y4 : $i]: (c_Repl @ Y4 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1))) @ c_Inj1))) => ((X2 @ (^[Y4 : $i]: ((^[Y5 : ($i > $i) > $i]: (Y0)))) @ c_Empty) => $false))))))))))) | ($false = (!! @ (((($i > $i) > $i > $i) > $i) > $i) @ (^[Y0 : ((($i > $i) > $i > $i) > $i) > $i]: (!! @ $i @ (^[Y1 : $i]: ((c_In @ (c_Inj1 @ c_Empty) @ Y1) => ((X2 @ (^[Y2 : $i]: ((^[Y3 : ($i > $i) > $i]: (c_Empty)))) @ c_Empty) => (X1 @ (^[Y2 : $i]: ((^[Y3 : $i]: ((^[Y4 : ($i > $i) > $i > $i]: (c_Inj1 @ c_Empty)))))) @ (c_Inj1 @ (c_Inj1 @ (Y0 @ (^[Y2 : ($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 > $i) > $i > $i) > $i) > $i) @ (^[Y1 : ((($i > $i) > $i > $i) > $i) > $i]: (!! @ $i @ (^[Y2 : $i]: ((X4 @ (^[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))) => (X4 @ (^[Y3 : $i]: ((^[Y4 : $i > $i > $i]: (Y2)))) @ (c_binunion @ (c_Repl @ (Y1 @ (^[Y3 : ($i > $i) > $i > $i]: (Y2))) @ (^[Y3 : $i]: (c_Repl @ Y3 @ c_Inj1))) @ (c_Repl @ Y0 @ 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 : $i]: (c_Repl @ Y3 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1)) @ c_Inj1))) @ c_Inj1))))))))))) )),
% 169.56/21.72 inference(boolean_simplification,[],[f533])).
% 169.56/21.72 thf(f533,plain,(
% 169.56/21.72 ( ! [X2 : ($i > (($i > $i) > $i) > $i) > $i > $o,X1 : ($i > $i > (($i > $i) > $i > $i) > $i) > $i > $i > $o,X4 : ($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]: ((c_In @ (c_Inj1 @ c_Empty) @ Y1) => ((X2 @ (^[Y2 : $i]: ((^[Y3 : ($i > $i) > $i]: (c_Empty)))) @ c_Empty) => (X1 @ (^[Y2 : $i]: ((^[Y3 : $i]: ((^[Y4 : ($i > $i) > $i > $i]: (c_Inj1 @ c_Empty)))))) @ (c_Inj1 @ (c_Inj1 @ (Y0 @ (^[Y2 : ($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))))))))))) | ((X4 @ (^[Y0 : $i]: ((^[Y1 : $i > $i > $i]: (c_Empty)))) @ c_Empty @ c_Empty) = $true) | ($false = (!! @ $i @ (^[Y0 : $i]: (!! @ (((($i > $i) > $i > $i) > $i) > $i) @ (^[Y1 : ((($i > $i) > $i > $i) > $i) > $i]: (!! @ $i @ (^[Y2 : $i]: ((X4 @ (^[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))) => (X4 @ (^[Y3 : $i]: ((^[Y4 : $i > $i > $i]: (Y2)))) @ (c_binunion @ (c_Repl @ (Y1 @ (^[Y3 : ($i > $i) > $i > $i]: (Y2))) @ (^[Y3 : $i]: (c_Repl @ Y3 @ c_Inj1))) @ (c_Repl @ Y0 @ 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 @ (^[Y1 : $i]: (!! @ ((($i > $i > $i) > ($i > $i) > $i > $i) > $i) @ (^[Y2 : (($i > $i > $i) > ($i > $i) > $i > $i) > $i]: ((c_In @ (c_Repl @ Y0 @ 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 @ Y0 @ (^[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 => (X4 @ (^[Y3 : $i]: ((^[Y4 : $i > $i > $i]: (c_Repl @ Y3 @ c_Inj1)))) @ Y1 @ (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))))))))))) = $false) | ($false = (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: ((c_In @ (c_Repl @ Y2 @ c_Inj1) @ (c_binunion @ (c_Repl @ (c_binunion @ (c_Repl @ Y1 @ (^[Y4 : $i]: (c_Repl @ Y4 @ c_Inj1))) @ (c_Repl @ (c_binunion @ (c_Repl @ Y3 @ (^[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 @ Y3 @ (^[Y4 : $i]: (c_Repl @ Y4 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1))) @ c_Inj1))) => ((X2 @ (^[Y4 : $i]: ((^[Y5 : ($i > $i) > $i]: (Y0)))) @ c_Empty) => $false))))))))))) | ((!! @ ($i > $i) @ (^[Y0 : $i > $i]: (!! @ $i @ (^[Y1 : $i]: (~ (X1 @ (^[Y2 : $i]: ((^[Y3 : $i]: ((^[Y4 : ($i > $i) > $i > $i]: (c_Empty)))))) @ (Y0 @ c_Empty) @ Y1)))))) = $false) | ($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))) => (~ (X1 @ (^[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 : $i]: (c_Empty)))))))))))))))) )),
% 169.56/21.72 inference(boolean_simplification,[],[f532])).
% 169.56/21.72 thf(f532,plain,(
% 169.56/21.72 ( ! [X2 : ($i > (($i > $i) > $i) > $i) > $i > $o,X1 : ($i > $i > (($i > $i) > $i > $i) > $i) > $i > $i > $o,X4 : ($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]: (!! @ $i @ (^[Y2 : $i]: ((X4 @ (^[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))) => (X4 @ (^[Y3 : $i]: ((^[Y4 : $i > $i > $i]: (Y2)))) @ (c_binunion @ (c_Repl @ (Y1 @ (^[Y3 : ($i > $i) > $i > $i]: (Y2))) @ (^[Y3 : $i]: (c_Repl @ Y3 @ c_Inj1))) @ (c_Repl @ Y0 @ 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 @ (^[Y1 : $i]: ((c_In @ (c_Inj1 @ c_Empty) @ Y1) => ((X2 @ (^[Y2 : $i]: ((^[Y3 : ($i > $i) > $i]: (c_Empty)))) @ c_Empty) => (X1 @ (^[Y2 : $i]: ((^[Y3 : $i]: ((^[Y4 : ($i > $i) > $i > $i]: (c_Inj1 @ c_Empty)))))) @ (c_Inj1 @ (c_Inj1 @ (Y0 @ (^[Y2 : ($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 > (($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))) => ((X1 @ (^[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 @ (^[Y1 : $i]: (!! @ ((($i > $i > $i) > ($i > $i) > $i > $i) > $i) @ (^[Y2 : (($i > $i > $i) > ($i > $i) > $i > $i) > $i]: ((c_In @ (c_Repl @ Y0 @ 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 @ Y0 @ (^[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 => (X4 @ (^[Y3 : $i]: ((^[Y4 : $i > $i > $i]: (c_Repl @ Y3 @ c_Inj1)))) @ Y1 @ (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) | ((X4 @ (^[Y0 : $i]: ((^[Y1 : $i > $i > $i]: (c_Empty)))) @ c_Empty @ c_Empty) = $true) | ((!! @ ($i > $i) @ (^[Y0 : $i > $i]: (!! @ $i @ (^[Y1 : $i]: (~ (X1 @ (^[Y2 : $i]: ((^[Y3 : $i]: ((^[Y4 : ($i > $i) > $i > $i]: (c_Empty)))))) @ (Y0 @ c_Empty) @ Y1)))))) = $false) | ($false = (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: ((c_In @ (c_Repl @ Y2 @ c_Inj1) @ (c_binunion @ (c_Repl @ (c_binunion @ (c_Repl @ Y1 @ (^[Y4 : $i]: (c_Repl @ Y4 @ c_Inj1))) @ (c_Repl @ (c_binunion @ (c_Repl @ Y3 @ (^[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 @ Y3 @ (^[Y4 : $i]: (c_Repl @ Y4 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1))) @ c_Inj1))) => ((X2 @ (^[Y4 : $i]: ((^[Y5 : ($i > $i) > $i]: (Y0)))) @ c_Empty) => $false)))))))))))) )),
% 169.56/21.72 inference(trivial_inequality_removal,[],[f531])).
% 169.56/21.72 thf(f531,plain,(
% 169.56/21.72 ( ! [X2 : ($i > (($i > $i) > $i) > $i) > $i > $o,X1 : ($i > $i > (($i > $i) > $i > $i) > $i) > $i > $i > $o,X4 : ($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]: ((c_In @ (c_Inj1 @ c_Empty) @ Y1) => ((X2 @ (^[Y2 : $i]: ((^[Y3 : ($i > $i) > $i]: (c_Empty)))) @ c_Empty) => (X1 @ (^[Y2 : $i]: ((^[Y3 : $i]: ((^[Y4 : ($i > $i) > $i > $i]: (c_Inj1 @ c_Empty)))))) @ (c_Inj1 @ (c_Inj1 @ (Y0 @ (^[Y2 : ($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 = $true) | ($false = (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: ((c_In @ (c_Repl @ Y2 @ c_Inj1) @ (c_binunion @ (c_Repl @ (c_binunion @ (c_Repl @ Y1 @ (^[Y4 : $i]: (c_Repl @ Y4 @ c_Inj1))) @ (c_Repl @ (c_binunion @ (c_Repl @ Y3 @ (^[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 @ Y3 @ (^[Y4 : $i]: (c_Repl @ Y4 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1))) @ c_Inj1))) => ((X2 @ (^[Y4 : $i]: ((^[Y5 : ($i > $i) > $i]: (Y0)))) @ c_Empty) => $false))))))))))) | ((X4 @ (^[Y0 : $i]: ((^[Y1 : $i > $i > $i]: (c_Empty)))) @ c_Empty @ c_Empty) = $true) | ($false = (!! @ $i @ (^[Y0 : $i]: (!! @ (((($i > $i) > $i > $i) > $i) > $i) @ (^[Y1 : ((($i > $i) > $i > $i) > $i) > $i]: (!! @ $i @ (^[Y2 : $i]: ((X4 @ (^[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))) => (X4 @ (^[Y3 : $i]: ((^[Y4 : $i > $i > $i]: (Y2)))) @ (c_binunion @ (c_Repl @ (Y1 @ (^[Y3 : ($i > $i) > $i > $i]: (Y2))) @ (^[Y3 : $i]: (c_Repl @ Y3 @ c_Inj1))) @ (c_Repl @ Y0 @ 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))) => ((X1 @ (^[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 @ (^[Y1 : $i]: (!! @ ((($i > $i > $i) > ($i > $i) > $i > $i) > $i) @ (^[Y2 : (($i > $i > $i) > ($i > $i) > $i > $i) > $i]: ((c_In @ (c_Repl @ Y0 @ 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 @ Y0 @ (^[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 => (X4 @ (^[Y3 : $i]: ((^[Y4 : $i > $i > $i]: (c_Repl @ Y3 @ c_Inj1)))) @ Y1 @ (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) @ (^[Y0 : $i > $i]: (!! @ $i @ (^[Y1 : $i]: (~ (X1 @ (^[Y2 : $i]: ((^[Y3 : $i]: ((^[Y4 : ($i > $i) > $i > $i]: (c_Empty)))))) @ (Y0 @ c_Empty) @ Y1)))))) = $false)) )),
% 169.56/21.72 inference(beta_eta_normalization,[],[f529])).
% 169.56/21.72 thf(f529,plain,(
% 169.56/21.72 ( ! [X2 : ($i > (($i > $i) > $i) > $i) > $i > $o,X1 : ($i > $i > (($i > $i) > $i > $i) > $i) > $i > $i > $o,X4 : ($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]: (!! @ $i @ (^[Y2 : $i]: ((X4 @ (^[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))) => (X4 @ (^[Y3 : $i]: ((^[Y4 : $i > $i > $i]: (Y2)))) @ (c_binunion @ (c_Repl @ (Y1 @ (^[Y3 : ($i > $i) > $i > $i]: (Y2))) @ (^[Y3 : $i]: (c_Repl @ Y3 @ c_Inj1))) @ (c_Repl @ Y0 @ 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)))))))))) | ((X4 @ (^[Y0 : $i]: ((^[Y1 : $i > $i > $i]: (c_Empty)))) @ c_Empty @ c_Empty) = $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))) = $true) | ($false = (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: ((c_In @ (c_Repl @ Y2 @ c_Inj1) @ (c_binunion @ (c_Repl @ (c_binunion @ (c_Repl @ Y1 @ (^[Y4 : $i]: (c_Repl @ Y4 @ c_Inj1))) @ (c_Repl @ (c_binunion @ (c_Repl @ Y3 @ (^[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 @ Y3 @ (^[Y4 : $i]: (c_Repl @ Y4 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1))) @ c_Inj1))) => ((X2 @ (^[Y4 : $i]: ((^[Y5 : ($i > $i) > $i]: (Y0)))) @ 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 : $i]: (c_Repl @ Y8 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1))))))))) @ Y3)))))))))))) | ((!! @ ($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))) => ((X1 @ (^[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))))))))))) = $false) | ((!! @ ($i > $i) @ (^[Y0 : $i > $i]: (!! @ $i @ (^[Y1 : $i]: (~ (X1 @ (^[Y2 : $i]: ((^[Y3 : $i]: ((^[Y4 : ($i > $i) > $i > $i]: (c_Empty)))))) @ (Y0 @ c_Empty) @ Y1)))))) = $false) | ($false = (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (!! @ ((($i > $i > $i) > ($i > $i) > $i > $i) > $i) @ (^[Y2 : (($i > $i > $i) > ($i > $i) > $i > $i) > $i]: ((c_In @ (c_Repl @ Y0 @ 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 @ Y0 @ (^[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 @ (Y2 @ (^[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))) => (X4 @ (^[Y3 : $i]: ((^[Y4 : $i > $i > $i]: (c_Repl @ Y3 @ c_Inj1)))) @ Y1 @ (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]: ((c_In @ (c_Inj1 @ c_Empty) @ Y1) => ((X2 @ (^[Y2 : $i]: ((^[Y3 : ($i > $i) > $i]: (c_Empty)))) @ c_Empty) => (X1 @ (^[Y2 : $i]: ((^[Y3 : $i]: ((^[Y4 : ($i > $i) > $i > $i]: (c_Inj1 @ c_Empty)))))) @ (c_Inj1 @ (c_Inj1 @ (Y0 @ (^[Y2 : ($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 : $i]: (c_Repl @ Y2 @ c_Inj1))) @ (c_Repl @ (c_Inj1 @ (c_Repl @ c_Empty @ c_Inj1)) @ c_Inj1)))))))))))) )),
% 169.56/21.72 inference(primitive_instantiation,[],[f350])).
% 169.56/21.72 thf(f350,plain,(
% 169.56/21.72 ( ! [X2 : ($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) > $i > $i > $o,X4 : ($i > ($i > $i > $i) > $i) > $i > $i > $o] : (($false = (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (!! @ ((($i > $i > $i) > ($i > $i) > $i > $i) > $i) @ (^[Y2 : (($i > $i > $i) > ($i > $i) > $i > $i) > $i]: ((c_In @ (c_Repl @ Y0 @ 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 @ Y0 @ (^[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 @ (Y2 @ (^[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))) => (X4 @ (^[Y3 : $i]: ((^[Y4 : $i > $i > $i]: (c_Repl @ Y3 @ c_Inj1)))) @ Y1 @ (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 > $i) > $i > $i) > $i) > $i) @ (^[Y1 : ((($i > $i) > $i > $i) > $i) > $i]: (!! @ $i @ (^[Y2 : $i]: ((X4 @ (^[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))) => (X4 @ (^[Y3 : $i]: ((^[Y4 : $i > $i > $i]: (Y2)))) @ (c_binunion @ (c_Repl @ (Y1 @ (^[Y3 : ($i > $i) > $i > $i]: (Y2))) @ (^[Y3 : $i]: (c_Repl @ Y3 @ c_Inj1))) @ (c_Repl @ Y0 @ 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))) => ((X1 @ (^[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 @ Y2 @ c_Inj1) @ (c_binunion @ (c_Repl @ (c_binunion @ (c_Repl @ Y1 @ (^[Y4 : $i]: (c_Repl @ Y4 @ c_Inj1))) @ (c_Repl @ (c_binunion @ (c_Repl @ Y3 @ (^[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 @ Y3 @ (^[Y4 : $i]: (c_Repl @ Y4 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1))) @ c_Inj1))) => ((X2 @ (^[Y4 : $i]: ((^[Y5 : ($i > $i) > $i]: (Y0)))) @ 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))))))))) @ Y3)))))))))))) | ((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))) = $true) | ($false = (!! @ (((($i > $i) > $i > $i) > $i) > $i) @ (^[Y0 : ((($i > $i) > $i > $i) > $i) > $i]: (!! @ $i @ (^[Y1 : $i]: ((c_In @ (c_Inj1 @ c_Empty) @ Y1) => ((X2 @ (^[Y2 : $i]: ((^[Y3 : ($i > $i) > $i]: (c_Empty)))) @ c_Empty) => (X1 @ (^[Y2 : $i]: ((^[Y3 : $i]: ((^[Y4 : ($i > $i) > $i > $i]: (c_Inj1 @ c_Empty)))))) @ (c_Inj1 @ (c_Inj1 @ (Y0 @ (^[Y2 : ($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 > $i) @ (^[Y0 : $i > $i]: (!! @ $i @ (^[Y1 : $i]: (~ (X1 @ (^[Y2 : $i]: ((^[Y3 : $i]: ((^[Y4 : ($i > $i) > $i > $i]: (c_Empty)))))) @ (Y0 @ c_Empty) @ Y1)))))) = $false) | ((X4 @ (^[Y0 : $i]: ((^[Y1 : $i > $i > $i]: (c_Empty)))) @ c_Empty @ c_Empty) = $true)) )),
% 169.56/21.72 inference(binary_proxy_clausification,[],[f347])).
% 169.56/21.72 thf(f347,plain,(
% 169.56/21.72 ( ! [X2 : ($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) > $i > $i > $o,X4 : ($i > ($i > $i > $i) > $i) > $i > $i > $o] : (($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)))) @ (sK3 @ X3 @ X2 @ c_Empty @ (sK5 @ X3 @ X2 @ (c_binunion @ (c_Repl @ (c_Inj1 @ c_Empty) @ (^[Y0 : $i]: (c_Repl @ Y0 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1))))))) | ($false = (!! @ ($i > (($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))) => ((X1 @ (^[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 = (!! 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@ ($i > $i) @ (^[Y0 : $i > $i]: (!! @ $i @ (^[Y1 : $i]: (~ (X1 @ (^[Y2 : $i]: ((^[Y3 : $i]: ((^[Y4 : ($i > $i) > $i > $i]: (c_Empty)))))) @ (Y0 @ c_Empty) @ Y1)))))) = $false) | ((X4 @ (^[Y0 : $i]: ((^[Y1 : $i > $i > $i]: (c_Empty)))) @ c_Empty @ c_Empty) = $true)) )),
% 169.56/21.72 inference(binary_proxy_clausification,[],[f346])).
% 169.56/21.72 thf(f346,plain,(
% 169.56/21.72 ( ! [X2 : ($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) > $i > $i > $o,X4 : ($i > ($i > $i > $i) > $i) > $i > $i > $o] : (($false = (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (!! @ ((($i > $i > $i) > ($i > $i) > $i > $i) > $i) @ (^[Y2 : (($i > $i > $i) > ($i > $i) > $i > $i) > $i]: ((c_In @ (c_Repl @ Y0 @ 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 @ Y0 @ (^[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 @ (Y2 @ (^[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))) => (X4 @ (^[Y3 : $i]: ((^[Y4 : $i > $i > $i]: (c_Repl @ Y3 @ c_Inj1)))) @ Y1 @ (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]: ((c_In @ (c_Inj1 @ c_Empty) @ Y1) => ((X2 @ (^[Y2 : $i]: ((^[Y3 : ($i > $i) > $i]: (c_Empty)))) @ c_Empty) => (X1 @ (^[Y2 : $i]: ((^[Y3 : $i]: ((^[Y4 : ($i > $i) > $i > $i]: (c_Inj1 @ c_Empty)))))) @ (c_Inj1 @ (c_Inj1 @ (Y0 @ (^[Y2 : ($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))) => ((X1 @ (^[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]: (~ (X1 @ (^[Y2 : $i]: ((^[Y3 : $i]: ((^[Y4 : ($i > $i) > $i > $i]: (c_Empty)))))) @ (Y0 @ c_Empty) @ Y1)))))) = $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 @ (sK3 @ 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)))) @ (sK3 @ X3 @ X2 @ c_Empty @ (sK5 @ X3 @ X2 @ (c_binunion @ (c_Repl @ (c_Inj1 @ c_Empty) @ (^[Y0 : $i]: (c_Repl @ Y0 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1))))))) = $false) | ($false = (!! @ $i @ (^[Y0 : $i]: (!! @ (((($i > $i) > $i > $i) > $i) > $i) @ (^[Y1 : ((($i > $i) > $i > $i) > $i) > $i]: (!! @ $i @ (^[Y2 : $i]: ((X4 @ (^[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))) => (X4 @ (^[Y3 : $i]: ((^[Y4 : $i > $i > $i]: (Y2)))) @ (c_binunion @ (c_Repl @ (Y1 @ (^[Y3 : ($i > $i) > $i > $i]: (Y2))) @ (^[Y3 : $i]: (c_Repl @ Y3 @ c_Inj1))) @ (c_Repl @ Y0 @ 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 @ Y2 @ c_Inj1) @ (c_binunion @ (c_Repl @ (c_binunion @ (c_Repl @ Y1 @ (^[Y4 : $i]: (c_Repl @ Y4 @ c_Inj1))) @ (c_Repl @ (c_binunion @ (c_Repl @ Y3 @ (^[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 @ Y3 @ (^[Y4 : $i]: (c_Repl @ Y4 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1))) @ c_Inj1))) => ((X2 @ (^[Y4 : $i]: ((^[Y5 : ($i > $i) > $i]: (Y0)))) @ 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))))))))) @ Y3)))))))))))) | ((X4 @ (^[Y0 : $i]: ((^[Y1 : $i > $i > $i]: (c_Empty)))) @ c_Empty @ c_Empty) = $true)) )),
% 169.56/21.72 inference(beta_eta_normalization,[],[f345])).
% 169.56/21.72 thf(f345,plain,(
% 169.56/21.72 ( ! [X2 : ($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) > $i > $i > $o,X4 : ($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]: ((c_In @ (c_Inj1 @ c_Empty) @ Y1) => ((X2 @ (^[Y2 : $i]: ((^[Y3 : ($i > $i) > $i]: (c_Empty)))) @ c_Empty) => (X1 @ (^[Y2 : $i]: ((^[Y3 : $i]: ((^[Y4 : ($i > $i) > $i > $i]: (c_Inj1 @ c_Empty)))))) @ (c_Inj1 @ (c_Inj1 @ (Y0 @ (^[Y2 : ($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))) => ((X1 @ (^[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)))))))))))) | ((X4 @ (^[Y0 : $i]: ((^[Y1 : $i > $i > $i]: (c_Empty)))) @ c_Empty @ c_Empty) = $true) | ((!! @ ($i > $i) @ (^[Y0 : $i > $i]: (!! @ $i @ (^[Y1 : $i]: (~ (X1 @ (^[Y2 : $i]: ((^[Y3 : $i]: ((^[Y4 : ($i > $i) > $i > $i]: (c_Empty)))))) @ (Y0 @ c_Empty) @ Y1)))))) = $false) | ($false = (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (!! @ ((($i > $i > $i) > ($i > $i) > $i > $i) > $i) @ (^[Y2 : (($i > $i > $i) > ($i > $i) > $i > $i) > $i]: ((c_In @ (c_Repl @ Y0 @ 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 @ Y0 @ (^[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 @ (Y2 @ (^[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))) => (X4 @ (^[Y3 : $i]: ((^[Y4 : $i > $i > $i]: (c_Repl @ Y3 @ c_Inj1)))) @ Y1 @ (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 > $i) > $i > $i) > $i) > $i) @ (^[Y1 : ((($i > $i) > $i > $i) > $i) > $i]: (!! @ $i @ (^[Y2 : $i]: ((X4 @ (^[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))) => (X4 @ (^[Y3 : $i]: ((^[Y4 : $i > $i > $i]: (Y2)))) @ (c_binunion @ (c_Repl @ (Y1 @ (^[Y3 : ($i > $i) > $i > $i]: (Y2))) @ (^[Y3 : $i]: (c_Repl @ Y3 @ c_Inj1))) @ (c_Repl @ Y0 @ 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 @ Y2 @ c_Inj1) @ (c_binunion @ (c_Repl @ (c_binunion @ (c_Repl @ Y1 @ (^[Y4 : $i]: (c_Repl @ Y4 @ c_Inj1))) @ (c_Repl @ (c_binunion @ (c_Repl @ Y3 @ (^[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 @ Y3 @ (^[Y4 : $i]: (c_Repl @ Y4 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1))) @ c_Inj1))) => ((X2 @ (^[Y4 : $i]: ((^[Y5 : ($i > $i) > $i]: (Y0)))) @ 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))))))))) @ Y3)))))))))))) | (((^[Y0 : $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 @ (sK3 @ X3 @ X2 @ 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)))) @ (sK3 @ X3 @ X2 @ c_Empty @ (Y0 @ (c_binunion @ (c_Repl @ (c_Inj1 @ c_Empty) @ (^[Y1 : $i]: (c_Repl @ Y1 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1)))))))) @ (sK5 @ X3 @ X2)) = $false)) )),
% 169.56/21.72 inference(sigma_clausification,[],[f342])).
% 169.56/21.72 thf(f342,plain,(
% 169.56/21.72 ( ! [X2 : ($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) > $i > $i > $o,X4 : ($i > ($i > $i > $i) > $i) > $i > $i > $o] : (((!! @ ($i > $i) @ (^[Y0 : $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 @ (sK3 @ X3 @ X2 @ 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)))) @ (sK3 @ X3 @ X2 @ c_Empty @ (Y0 @ (c_binunion @ (c_Repl @ (c_Inj1 @ c_Empty) @ (^[Y1 : $i]: (c_Repl @ Y1 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1))))))))) = $false) | ($false = (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (!! @ ((($i > $i > $i) > ($i > $i) > $i > $i) > $i) @ (^[Y2 : (($i > $i > $i) > ($i > $i) > $i > $i) > $i]: ((c_In @ (c_Repl @ Y0 @ 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 @ Y0 @ (^[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 @ (Y2 @ (^[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))) => (X4 @ (^[Y3 : $i]: ((^[Y4 : $i > $i > $i]: (c_Repl @ Y3 @ c_Inj1)))) @ Y1 @ (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 > $i) > $i > $i) > $i) > $i) @ (^[Y1 : ((($i > $i) > $i > $i) > $i) > $i]: (!! @ $i @ (^[Y2 : $i]: ((X4 @ (^[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))) => (X4 @ (^[Y3 : $i]: ((^[Y4 : $i > $i > $i]: (Y2)))) @ (c_binunion @ (c_Repl @ (Y1 @ (^[Y3 : ($i > $i) > $i > $i]: (Y2))) @ (^[Y3 : $i]: (c_Repl @ Y3 @ c_Inj1))) @ (c_Repl @ Y0 @ 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))) => ((X1 @ (^[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]: ((c_In @ (c_Inj1 @ c_Empty) @ Y1) => ((X2 @ (^[Y2 : $i]: ((^[Y3 : ($i > $i) > $i]: (c_Empty)))) @ c_Empty) => (X1 @ (^[Y2 : $i]: ((^[Y3 : $i]: ((^[Y4 : ($i > $i) > $i > $i]: (c_Inj1 @ c_Empty)))))) @ (c_Inj1 @ (c_Inj1 @ (Y0 @ (^[Y2 : ($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))))))))))) | ((X4 @ (^[Y0 : $i]: ((^[Y1 : $i > $i > $i]: (c_Empty)))) @ c_Empty @ c_Empty) = $true) | ((!! @ ($i > $i) @ (^[Y0 : $i > $i]: (!! @ $i @ (^[Y1 : $i]: (~ (X1 @ (^[Y2 : $i]: ((^[Y3 : $i]: ((^[Y4 : ($i > $i) > $i > $i]: (c_Empty)))))) @ (Y0 @ c_Empty) @ Y1)))))) = $false) | ($false = (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: ((c_In @ (c_Repl @ Y2 @ c_Inj1) @ (c_binunion @ (c_Repl @ (c_binunion @ (c_Repl @ Y1 @ (^[Y4 : $i]: (c_Repl @ Y4 @ c_Inj1))) @ (c_Repl @ (c_binunion @ (c_Repl @ Y3 @ (^[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 @ Y3 @ (^[Y4 : $i]: (c_Repl @ Y4 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1))) @ c_Inj1))) => ((X2 @ (^[Y4 : $i]: ((^[Y5 : ($i > $i) > $i]: (Y0)))) @ 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 : $i]: (c_Repl @ Y8 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1))))))))) @ Y3))))))))))))) )),
% 169.56/21.72 inference(beta_eta_normalization,[],[f341])).
% 169.56/21.72 thf(f341,plain,(
% 169.56/21.72 ( ! [X2 : ($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) > $i > $i > $o,X4 : ($i > ($i > $i > $i) > $i) > $i > $i > $o] : ((((^[Y0 : $i]: (!! @ ($i > $i) @ (^[Y1 : $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 @ (sK3 @ X3 @ X2 @ 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)))) @ (sK3 @ X3 @ X2 @ c_Empty @ (Y1 @ (c_binunion @ (c_Repl @ (c_Inj1 @ c_Empty) @ (^[Y2 : $i]: (c_Repl @ Y2 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1)))))))))) @ (sK4 @ X3 @ X2)) = $false) | ((X4 @ (^[Y0 : $i]: ((^[Y1 : $i > $i > $i]: (c_Empty)))) @ c_Empty @ c_Empty) = $true) | ($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))) => ((X1 @ (^[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]: (!! @ $i @ (^[Y2 : $i]: ((X4 @ (^[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))) => (X4 @ (^[Y3 : $i]: ((^[Y4 : $i > $i > $i]: (Y2)))) @ (c_binunion @ (c_Repl @ (Y1 @ (^[Y3 : ($i > $i) > $i > $i]: (Y2))) @ (^[Y3 : $i]: (c_Repl @ Y3 @ c_Inj1))) @ (c_Repl @ Y0 @ 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 @ Y2 @ c_Inj1) @ (c_binunion @ (c_Repl @ (c_binunion @ (c_Repl @ Y1 @ (^[Y4 : $i]: (c_Repl @ Y4 @ c_Inj1))) @ (c_Repl @ (c_binunion @ (c_Repl @ Y3 @ (^[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 @ Y3 @ (^[Y4 : $i]: (c_Repl @ Y4 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1))) @ c_Inj1))) => ((X2 @ (^[Y4 : $i]: ((^[Y5 : ($i > $i) > $i]: (Y0)))) @ 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 : $i]: (c_Repl @ Y8 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1))))))))) @ Y3)))))))))))) | ((!! @ ($i > $i) @ (^[Y0 : $i > $i]: (!! @ $i @ (^[Y1 : $i]: (~ (X1 @ (^[Y2 : $i]: ((^[Y3 : $i]: ((^[Y4 : ($i > $i) > $i > $i]: (c_Empty)))))) @ (Y0 @ c_Empty) @ Y1)))))) = $false) | ($false = (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (!! @ ((($i > $i > $i) > ($i > $i) > $i > $i) > $i) @ (^[Y2 : (($i > $i > $i) > ($i > $i) > $i > $i) > $i]: ((c_In @ (c_Repl @ Y0 @ 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 @ Y0 @ (^[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 @ (Y2 @ (^[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))) => (X4 @ (^[Y3 : $i]: ((^[Y4 : $i > $i > $i]: (c_Repl @ Y3 @ c_Inj1)))) @ Y1 @ (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]: ((c_In @ (c_Inj1 @ c_Empty) @ Y1) => ((X2 @ (^[Y2 : $i]: ((^[Y3 : ($i > $i) > $i]: (c_Empty)))) @ c_Empty) => (X1 @ (^[Y2 : $i]: ((^[Y3 : $i]: ((^[Y4 : ($i > $i) > $i > $i]: (c_Inj1 @ c_Empty)))))) @ (c_Inj1 @ (c_Inj1 @ (Y0 @ (^[Y2 : ($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 : $i]: (c_Repl @ Y2 @ c_Inj1))) @ (c_Repl @ (c_Inj1 @ (c_Repl @ c_Empty @ c_Inj1)) @ c_Inj1)))))))))))) )),
% 169.56/21.72 inference(sigma_clausification,[],[f340])).
% 169.56/21.72 thf(f340,plain,(
% 169.56/21.72 ( ! [X2 : ($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) > $i > $i > $o,X4 : ($i > ($i > $i > $i) > $i) > $i > $i > $o] : (((!! @ $i @ (^[Y0 : $i]: (!! @ ($i > $i) @ (^[Y1 : $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 @ (sK3 @ X3 @ X2 @ 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)))) @ (sK3 @ X3 @ X2 @ c_Empty @ (Y1 @ (c_binunion @ (c_Repl @ (c_Inj1 @ c_Empty) @ (^[Y2 : $i]: (c_Repl @ Y2 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1))))))))))) = $false) | ($false = (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (!! @ ((($i > $i > $i) > ($i > $i) > $i > $i) > $i) @ (^[Y2 : (($i > $i > $i) > ($i > $i) > $i > $i) > $i]: ((c_In @ (c_Repl @ Y0 @ 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 @ Y0 @ (^[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 @ (Y2 @ (^[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))) => (X4 @ (^[Y3 : $i]: ((^[Y4 : $i > $i > $i]: (c_Repl @ Y3 @ c_Inj1)))) @ Y1 @ (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 > $i) > $i > $i) > $i) > $i) @ (^[Y1 : ((($i > $i) > $i > $i) > $i) > $i]: (!! @ $i @ (^[Y2 : $i]: ((X4 @ (^[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))) => (X4 @ (^[Y3 : $i]: ((^[Y4 : $i > $i > $i]: (Y2)))) @ (c_binunion @ (c_Repl @ (Y1 @ (^[Y3 : ($i > $i) > $i > $i]: (Y2))) @ (^[Y3 : $i]: (c_Repl @ Y3 @ c_Inj1))) @ (c_Repl @ Y0 @ 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))) => ((X1 @ (^[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]: ((c_In @ (c_Inj1 @ c_Empty) @ Y1) => ((X2 @ (^[Y2 : $i]: ((^[Y3 : ($i > $i) > $i]: (c_Empty)))) @ c_Empty) => (X1 @ (^[Y2 : $i]: ((^[Y3 : $i]: ((^[Y4 : ($i > $i) > $i > $i]: (c_Inj1 @ c_Empty)))))) @ (c_Inj1 @ (c_Inj1 @ (Y0 @ (^[Y2 : ($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 > $i) @ (^[Y0 : $i > $i]: (!! @ $i @ (^[Y1 : $i]: (~ (X1 @ (^[Y2 : $i]: ((^[Y3 : $i]: ((^[Y4 : ($i > $i) > $i > $i]: (c_Empty)))))) @ (Y0 @ c_Empty) @ Y1)))))) = $false) | ($false = (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: ((c_In @ (c_Repl @ Y2 @ c_Inj1) @ (c_binunion @ (c_Repl @ (c_binunion @ (c_Repl @ Y1 @ (^[Y4 : $i]: (c_Repl @ Y4 @ c_Inj1))) @ (c_Repl @ (c_binunion @ (c_Repl @ Y3 @ (^[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 @ Y3 @ (^[Y4 : $i]: (c_Repl @ Y4 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1))) @ c_Inj1))) => ((X2 @ (^[Y4 : $i]: ((^[Y5 : ($i > $i) > $i]: (Y0)))) @ 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))))))))) @ Y3)))))))))))) | ((X4 @ (^[Y0 : $i]: ((^[Y1 : $i > $i > $i]: (c_Empty)))) @ c_Empty @ c_Empty) = $true)) )),
% 169.56/21.72 inference(beta_eta_normalization,[],[f339])).
% 169.56/21.72 thf(f339,plain,(
% 169.56/21.72 ( ! [X2 : ($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) > $i > $i > $o,X4 : ($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))) => ((X1 @ (^[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 @ Y2 @ c_Inj1) @ (c_binunion @ (c_Repl @ (c_binunion @ (c_Repl @ Y1 @ (^[Y4 : $i]: (c_Repl @ Y4 @ c_Inj1))) @ (c_Repl @ (c_binunion @ (c_Repl @ Y3 @ (^[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 @ Y3 @ (^[Y4 : $i]: (c_Repl @ Y4 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1))) @ c_Inj1))) => ((X2 @ (^[Y4 : $i]: ((^[Y5 : ($i > $i) > $i]: (Y0)))) @ 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 : $i]: (c_Repl @ Y8 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1))))))))) @ Y3)))))))))))) | ($false = (!! @ $i @ (^[Y0 : $i]: (!! @ (((($i > $i) > $i > $i) > $i) > $i) @ (^[Y1 : ((($i > $i) > $i > $i) > $i) > $i]: (!! @ $i @ (^[Y2 : $i]: ((X4 @ (^[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))) => (X4 @ (^[Y3 : $i]: ((^[Y4 : $i > $i > $i]: (Y2)))) @ (c_binunion @ (c_Repl @ (Y1 @ (^[Y3 : ($i > $i) > $i > $i]: (Y2))) @ (^[Y3 : $i]: (c_Repl @ Y3 @ c_Inj1))) @ (c_Repl @ Y0 @ 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 @ (^[Y1 : $i]: ((c_In @ (c_Inj1 @ c_Empty) @ Y1) => ((X2 @ (^[Y2 : $i]: ((^[Y3 : ($i > $i) > $i]: (c_Empty)))) @ c_Empty) => (X1 @ (^[Y2 : $i]: ((^[Y3 : $i]: ((^[Y4 : ($i > $i) > $i > $i]: (c_Inj1 @ c_Empty)))))) @ (c_Inj1 @ (c_Inj1 @ (Y0 @ (^[Y2 : ($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))))))))))) | ((X4 @ (^[Y0 : $i]: ((^[Y1 : $i > $i > $i]: (c_Empty)))) @ c_Empty @ c_Empty) = $true) | ((!! @ ($i > $i) @ (^[Y0 : $i > $i]: (!! @ $i @ (^[Y1 : $i]: (~ (X1 @ (^[Y2 : $i]: ((^[Y3 : $i]: ((^[Y4 : ($i > $i) > $i > $i]: (c_Empty)))))) @ (Y0 @ c_Empty) @ Y1)))))) = $false) | ($false = ((^[Y0 : $i > $i > $i]: (!! @ $i @ (^[Y1 : $i]: (!! @ ($i > $i) @ (^[Y2 : $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 @ (Y0 @ 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)))) @ (Y0 @ c_Empty @ (Y2 @ (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 = (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (!! @ ((($i > $i > $i) > ($i > $i) > $i > $i) > $i) @ (^[Y2 : (($i > $i > $i) > ($i > $i) > $i > $i) > $i]: ((c_In @ (c_Repl @ Y0 @ 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 @ Y0 @ (^[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 @ (Y2 @ (^[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))) => (X4 @ (^[Y3 : $i]: ((^[Y4 : $i > $i > $i]: (c_Repl @ Y3 @ c_Inj1)))) @ Y1 @ (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 : $i]: (c_Repl @ Y3 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1))))))))))))) )),
% 169.56/21.72 inference(sigma_clausification,[],[f338])).
% 169.56/21.72 thf(f338,plain,(
% 169.56/21.72 ( ! 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@ (((($i > $i) > $i > $i) > $i) > $i) @ (^[Y0 : ((($i > $i) > $i > $i) > $i) > $i]: (!! @ $i @ (^[Y1 : $i]: ((c_In @ (c_Inj1 @ c_Empty) @ Y1) => ((X2 @ (^[Y2 : $i]: ((^[Y3 : ($i > $i) > $i]: (c_Empty)))) @ c_Empty) => (X1 @ (^[Y2 : $i]: ((^[Y3 : $i]: ((^[Y4 : ($i > $i) > $i > $i]: (c_Inj1 @ c_Empty)))))) @ (c_Inj1 @ (c_Inj1 @ (Y0 @ (^[Y2 : ($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))))))))))) | ((X4 @ (^[Y0 : $i]: ((^[Y1 : $i > $i > $i]: (c_Empty)))) @ c_Empty @ c_Empty) = $true) | ($false = (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: ((c_In @ (c_Repl @ Y2 @ c_Inj1) @ (c_binunion @ (c_Repl @ (c_binunion @ (c_Repl @ Y1 @ (^[Y4 : $i]: (c_Repl @ Y4 @ c_Inj1))) @ (c_Repl @ (c_binunion @ (c_Repl @ Y3 @ (^[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 @ Y3 @ (^[Y4 : $i]: (c_Repl @ Y4 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1))) @ c_Inj1))) => ((X2 @ (^[Y4 : $i]: ((^[Y5 : ($i > $i) > $i]: (Y0)))) @ 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 : $i]: (c_Repl @ Y8 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1))))))))) @ Y3)))))))))))) | ((!! @ ($i > $i) @ (^[Y0 : $i > $i]: (!! @ $i @ (^[Y1 : $i]: (~ (X1 @ (^[Y2 : $i]: ((^[Y3 : $i]: ((^[Y4 : ($i > $i) > $i > $i]: (c_Empty)))))) @ (Y0 @ c_Empty) @ Y1)))))) = $false)) )),
% 169.56/21.72 inference(not_proxy_clausification,[],[f336])).
% 169.56/21.72 thf(f336,plain,(
% 169.56/21.72 ( ! [X2 : ($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) > $i > $i > $o,X4 : ($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]: ((c_In @ (c_Inj1 @ c_Empty) @ Y1) => ((X2 @ (^[Y2 : $i]: ((^[Y3 : ($i > $i) > $i]: (c_Empty)))) @ c_Empty) => (X1 @ (^[Y2 : $i]: ((^[Y3 : $i]: ((^[Y4 : ($i > $i) > $i > $i]: (c_Inj1 @ c_Empty)))))) @ (c_Inj1 @ (c_Inj1 @ (Y0 @ (^[Y2 : ($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]: (!! 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@ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: ((c_In @ (c_Repl @ Y2 @ c_Inj1) @ (c_binunion @ (c_Repl @ (c_binunion @ (c_Repl @ Y1 @ (^[Y4 : $i]: (c_Repl @ Y4 @ c_Inj1))) @ (c_Repl @ (c_binunion @ (c_Repl @ Y3 @ (^[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 @ Y3 @ (^[Y4 : $i]: (c_Repl @ Y4 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1))) @ c_Inj1))) => ((X2 @ (^[Y4 : $i]: ((^[Y5 : ($i > $i) > $i]: (Y0)))) @ 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))))))))) @ Y3)))))))))))) | ((X4 @ (^[Y0 : $i]: ((^[Y1 : $i > $i > $i]: (c_Empty)))) @ c_Empty @ c_Empty) = $true)) )),
% 169.56/21.72 inference(binary_proxy_clausification,[],[f334])).
% 169.56/21.72 thf(f334,plain,(
% 169.56/21.72 ( ! 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% 169.56/21.72 inference(binary_proxy_clausification,[],[f333])).
% 169.56/21.72 thf(f333,plain,(
% 169.56/21.72 ( ! [X2 : ($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) > $i > $i > $o,X4 : ($i > ($i > $i > $i) > $i) > $i > $i > $o] : ((((!! @ (((($i > $i) > $i > $i) > $i) > $i) @ (^[Y0 : ((($i > $i) > $i > $i) > $i) > $i]: (!! @ $i @ (^[Y1 : $i]: ((c_In @ (c_Inj1 @ c_Empty) @ Y1) => ((X2 @ (^[Y2 : $i]: ((^[Y3 : ($i > $i) > $i]: (c_Empty)))) @ c_Empty) => (X1 @ (^[Y2 : $i]: ((^[Y3 : $i]: ((^[Y4 : ($i > $i) > $i > $i]: (c_Inj1 @ c_Empty)))))) @ (c_Inj1 @ (c_Inj1 @ (Y0 @ (^[Y2 : ($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 > $i) @ (^[Y0 : $i > $i]: (!! @ $i @ (^[Y1 : $i]: (~ (X1 @ (^[Y2 : $i]: ((^[Y3 : $i]: ((^[Y4 : ($i > $i) > $i > $i]: (c_Empty)))))) @ (Y0 @ c_Empty) @ Y1)))))))) = $true) | ($false = (!! 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% 169.56/21.72 inference(binary_proxy_clausification,[],[f332])).
% 169.56/21.72 thf(f332,plain,(
% 169.56/21.72 ( ! [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) > $i > $i > $o,X4 : ($i > ($i > $i > $i) > $i) > $i > $i > $o] : (($false = (!! @ ($i > $i > $i) @ (^[Y0 : $i > $i > $i]: (!! @ $i @ (^[Y1 : $i]: (!! @ ($i > $i) @ (^[Y2 : $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 @ (Y0 @ 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)))) @ (Y0 @ c_Empty @ (Y2 @ (c_binunion @ (c_Repl @ (c_Inj1 @ c_Empty) @ (^[Y3 : $i]: (c_Repl @ Y3 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1)))))))))))))) | (((!! 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@ $i @ (^[Y1 : $i]: ((c_In @ (c_Inj1 @ c_Empty) @ Y1) => ((X2 @ (^[Y2 : $i]: ((^[Y3 : ($i > $i) > $i]: (c_Empty)))) @ c_Empty) => (X1 @ (^[Y2 : $i]: ((^[Y3 : $i]: ((^[Y4 : ($i > $i) > $i > $i]: (c_Inj1 @ c_Empty)))))) @ (c_Inj1 @ (c_Inj1 @ (Y0 @ (^[Y2 : ($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 > $i) @ (^[Y0 : $i > $i]: (!! @ $i @ (^[Y1 : $i]: (~ (X1 @ (^[Y2 : $i]: ((^[Y3 : $i]: ((^[Y4 : ($i > $i) > $i > $i]: (c_Empty)))))) @ (Y0 @ c_Empty) @ Y1))))))))) = $true) | ($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))) => ((X1 @ (^[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 > $i > $i) > ($i > $i) > $i > $i) > $i) @ (^[Y2 : (($i > $i > $i) > ($i > $i) > $i > $i) > $i]: ((c_In @ (c_Repl @ Y0 @ 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 @ Y0 @ (^[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 @ (Y2 @ (^[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))) => (X4 @ (^[Y3 : $i]: ((^[Y4 : $i > $i > $i]: (c_Repl @ Y3 @ c_Inj1)))) @ Y1 @ (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 > $i) > $i > $i) > $i) > $i) @ (^[Y1 : ((($i > $i) > $i > $i) > $i) > $i]: (!! @ $i @ (^[Y2 : $i]: ((X4 @ (^[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))) => (X4 @ (^[Y3 : $i]: ((^[Y4 : $i > $i > $i]: (Y2)))) @ (c_binunion @ (c_Repl @ (Y1 @ (^[Y3 : ($i > $i) > $i > $i]: (Y2))) @ (^[Y3 : $i]: (c_Repl @ Y3 @ c_Inj1))) @ (c_Repl @ Y0 @ 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)))))))))) | (((X4 @ (^[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)) )),
% 169.56/21.72 inference(binary_proxy_clausification,[],[f331])).
% 169.56/21.72 thf(f331,plain,(
% 169.56/21.72 ( ! 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% 169.56/21.72 inference(binary_proxy_clausification,[],[f330])).
% 169.56/21.72 thf(f330,plain,(
% 169.56/21.72 ( ! 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% 169.56/21.72 inference(binary_proxy_clausification,[],[f329])).
% 169.56/21.72 thf(f329,plain,(
% 169.56/21.72 ( ! 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% 169.56/21.72 inference(binary_proxy_clausification,[],[f328])).
% 169.56/21.72 thf(f328,plain,(
% 169.56/21.72 ( ! 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@ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: ((c_In @ (c_Repl @ Y2 @ c_Inj1) @ (c_binunion @ (c_Repl @ (c_binunion @ (c_Repl @ Y1 @ (^[Y4 : $i]: (c_Repl @ Y4 @ c_Inj1))) @ (c_Repl @ (c_binunion @ (c_Repl @ Y3 @ (^[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 @ Y3 @ (^[Y4 : $i]: (c_Repl @ Y4 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1))) @ c_Inj1))) => ((X2 @ (^[Y4 : $i]: ((^[Y5 : ($i > $i) > $i]: (Y0)))) @ 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 : $i]: (c_Repl @ Y8 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1))))))))) @ Y3))))))))))) => ((!! @ (((($i > $i) > $i > $i) > $i) > $i) @ (^[Y0 : ((($i > $i) > $i > $i) > $i) > $i]: (!! @ $i @ (^[Y1 : $i]: ((c_In @ (c_Inj1 @ c_Empty) @ Y1) => ((X2 @ (^[Y2 : $i]: ((^[Y3 : ($i > $i) > $i]: (c_Empty)))) @ c_Empty) => (X1 @ (^[Y2 : $i]: ((^[Y3 : $i]: ((^[Y4 : ($i > $i) > $i > $i]: (c_Inj1 @ c_Empty)))))) @ (c_Inj1 @ (c_Inj1 @ (Y0 @ (^[Y2 : ($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 > $i) @ (^[Y0 : $i > $i]: (!! @ $i @ (^[Y1 : $i]: (~ (X1 @ (^[Y2 : $i]: ((^[Y3 : $i]: ((^[Y4 : ($i > $i) > $i > $i]: (c_Empty)))))) @ (Y0 @ c_Empty) @ Y1))))))))))))) = $true) | ($false = (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (!! @ ((($i > $i > $i) > ($i > $i) > $i > $i) > $i) @ (^[Y2 : (($i > $i > $i) > ($i > $i) > $i > $i) > $i]: ((c_In @ (c_Repl @ Y0 @ 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 @ Y0 @ (^[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 @ (Y2 @ (^[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))) => (X4 @ (^[Y3 : $i]: ((^[Y4 : $i > $i > $i]: (c_Repl @ Y3 @ c_Inj1)))) @ Y1 @ (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))))))))))))) )),
% 169.56/21.72 inference(binary_proxy_clausification,[],[f327])).
% 169.56/21.72 thf(f327,plain,(
% 169.56/21.72 ( ! 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@ $i @ (^[Y0 : $i]: (!! @ (((($i > $i) > $i > $i) > $i) > $i) @ (^[Y1 : ((($i > $i) > $i > $i) > $i) > $i]: (!! @ $i @ (^[Y2 : $i]: ((X4 @ (^[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))) => (X4 @ (^[Y3 : $i]: ((^[Y4 : $i > $i > $i]: (Y2)))) @ (c_binunion @ (c_Repl @ (Y1 @ (^[Y3 : ($i > $i) > $i > $i]: (Y2))) @ (^[Y3 : $i]: (c_Repl @ Y3 @ c_Inj1))) @ (c_Repl @ Y0 @ 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))) => ((X1 @ (^[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 > $i) @ (^[Y0 : $i > $i > $i]: (!! @ $i @ (^[Y1 : $i]: (!! @ ($i > $i) @ (^[Y2 : $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 @ (Y0 @ 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)))) @ (Y0 @ c_Empty @ (Y2 @ (c_binunion @ (c_Repl @ (c_Inj1 @ c_Empty) @ (^[Y3 : $i]: (c_Repl @ Y3 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1))))))))))))) => (((X4 @ (^[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 @ Y2 @ c_Inj1) @ (c_binunion @ (c_Repl @ (c_binunion @ (c_Repl @ Y1 @ (^[Y4 : $i]: (c_Repl @ Y4 @ c_Inj1))) @ (c_Repl @ (c_binunion @ (c_Repl @ Y3 @ (^[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 @ Y3 @ (^[Y4 : $i]: (c_Repl @ Y4 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1))) @ c_Inj1))) => ((X2 @ (^[Y4 : $i]: ((^[Y5 : ($i > $i) > $i]: (Y0)))) @ 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 : $i]: (c_Repl @ Y8 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1))))))))) @ Y3))))))))))) => ((!! @ (((($i > $i) > $i > $i) > $i) > $i) @ (^[Y0 : ((($i > $i) > $i > $i) > $i) > $i]: (!! @ $i @ (^[Y1 : $i]: ((c_In @ (c_Inj1 @ c_Empty) @ Y1) => ((X2 @ (^[Y2 : $i]: ((^[Y3 : ($i > $i) > $i]: (c_Empty)))) @ c_Empty) => (X1 @ (^[Y2 : $i]: ((^[Y3 : $i]: ((^[Y4 : ($i > $i) > $i > $i]: (c_Inj1 @ c_Empty)))))) @ (c_Inj1 @ (c_Inj1 @ (Y0 @ (^[Y2 : ($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 > $i) @ (^[Y0 : $i > $i]: (!! @ $i @ (^[Y1 : $i]: (~ (X1 @ (^[Y2 : $i]: ((^[Y3 : $i]: ((^[Y4 : ($i > $i) > $i > $i]: (c_Empty)))))) @ (Y0 @ c_Empty) @ Y1)))))))))))))) = $true)) )),
% 169.56/21.72 inference(boolean_simplification,[],[f326])).
% 169.56/21.72 thf(f326,plain,(
% 169.56/21.72 ( ! [X2 : ($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) > $i > $i > $o,X4 : ($i > ($i > $i > $i) > $i) > $i > $i > $o] : ((((!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (!! @ ((($i > $i > $i) > ($i > $i) > $i > $i) > $i) @ (^[Y2 : (($i > $i > $i) > ($i > $i) > $i > $i) > $i]: ((c_In @ (c_Repl @ Y0 @ 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 @ Y0 @ (^[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 @ (Y2 @ (^[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))) => (X4 @ (^[Y3 : $i]: ((^[Y4 : $i > $i > $i]: (c_Repl @ Y3 @ c_Inj1)))) @ Y1 @ (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 @ (^[Y0 : $i]: (!! @ (((($i > $i) > $i > $i) > $i) > $i) @ (^[Y1 : ((($i > $i) > $i > $i) > $i) > $i]: (!! @ $i @ (^[Y2 : $i]: ((X4 @ (^[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))) => (X4 @ (^[Y3 : $i]: ((^[Y4 : $i > $i > $i]: (Y2)))) @ (c_binunion @ (c_Repl @ (Y1 @ (^[Y3 : ($i > $i) > $i > $i]: (Y2))) @ (^[Y3 : $i]: (c_Repl @ Y3 @ c_Inj1))) @ (c_Repl @ Y0 @ 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))) => ((X1 @ (^[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 > $i) @ (^[Y0 : $i > $i > $i]: (!! @ $i @ (^[Y1 : $i]: (!! @ ($i > $i) @ (^[Y2 : $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 @ (Y0 @ 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)))) @ (Y0 @ c_Empty @ (Y2 @ (c_binunion @ (c_Repl @ (c_Inj1 @ c_Empty) @ (^[Y3 : $i]: (c_Repl @ Y3 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1))))))))))))) => (((X4 @ (^[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 @ Y2 @ c_Inj1) @ (c_binunion @ (c_Repl @ (c_binunion @ (c_Repl @ Y1 @ (^[Y4 : $i]: (c_Repl @ Y4 @ c_Inj1))) @ (c_Repl @ (c_binunion @ (c_Repl @ Y3 @ (^[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 @ Y3 @ (^[Y4 : $i]: (c_Repl @ Y4 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1))) @ c_Inj1))) => ((X2 @ (^[Y4 : $i]: ((^[Y5 : ($i > $i) > $i]: (Y0)))) @ 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 : $i]: (c_Repl @ Y8 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1))))))))) @ Y3))))))))))) => ((!! @ (((($i > $i) > $i > $i) > $i) > $i) @ (^[Y0 : ((($i > $i) > $i > $i) > $i) > $i]: (!! @ $i @ (^[Y1 : $i]: ((c_In @ (c_Inj1 @ c_Empty) @ Y1) => ((X2 @ (^[Y2 : $i]: ((^[Y3 : ($i > $i) > $i]: (c_Empty)))) @ c_Empty) => (X1 @ (^[Y2 : $i]: ((^[Y3 : $i]: ((^[Y4 : ($i > $i) > $i > $i]: (c_Inj1 @ c_Empty)))))) @ (c_Inj1 @ (c_Inj1 @ (Y0 @ (^[Y2 : ($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 > $i) @ (^[Y0 : $i > $i]: (!! @ $i @ (^[Y1 : $i]: ((X1 @ (^[Y2 : $i]: ((^[Y3 : $i]: ((^[Y4 : ($i > $i) > $i > $i]: (c_Empty)))))) @ (Y0 @ c_Empty) @ Y1) => $false))))))))))))) = $true)) )),
% 169.56/21.72 inference(boolean_simplification,[],[f325])).
% 169.56/21.72 thf(f325,plain,(
% 169.56/21.72 ( ! [X2 : ($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) > $i > $i > $o,X4 : ($i > ($i > $i > $i) > $i) > $i > $i > $o] : ((((!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (!! @ ((($i > $i > $i) > ($i > $i) > $i > $i) > $i) @ (^[Y2 : (($i > $i > $i) > ($i > $i) > $i > $i) > $i]: ((c_In @ (c_Repl @ Y0 @ 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 @ Y0 @ (^[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 @ (Y2 @ (^[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))) => (X4 @ (^[Y3 : $i]: ((^[Y4 : $i > $i > $i]: (c_Repl @ Y3 @ c_Inj1)))) @ Y1 @ (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 @ (^[Y0 : $i]: (!! @ (((($i > $i) > $i > $i) > $i) > $i) @ (^[Y1 : ((($i > $i) > $i > $i) > $i) > $i]: (!! @ $i @ (^[Y2 : $i]: ((X4 @ (^[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))) => (X4 @ (^[Y3 : $i]: ((^[Y4 : $i > $i > $i]: (Y2)))) @ (c_binunion @ (c_Repl @ (Y1 @ (^[Y3 : ($i > $i) > $i > $i]: (Y2))) @ (^[Y3 : $i]: (c_Repl @ Y3 @ c_Inj1))) @ (c_Repl @ Y0 @ 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))) => ((X1 @ (^[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 > $i) @ (^[Y0 : $i > $i > $i]: (!! @ $i @ (^[Y1 : $i]: (!! @ ($i > $i) @ (^[Y2 : $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 @ (Y0 @ 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)))) @ (Y0 @ c_Empty @ (Y2 @ (c_binunion @ (c_Repl @ (c_Inj1 @ c_Empty) @ (^[Y3 : $i]: (c_Repl @ Y3 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1))))))))))))) => (((X4 @ (^[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 @ Y2 @ c_Inj1) @ (c_binunion @ (c_Repl @ (c_binunion @ (c_Repl @ Y1 @ (^[Y4 : $i]: (c_Repl @ Y4 @ c_Inj1))) @ (c_Repl @ (c_binunion @ (c_Repl @ Y3 @ (^[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 @ Y3 @ (^[Y4 : $i]: (c_Repl @ Y4 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1))) @ c_Inj1))) => ((X2 @ (^[Y4 : $i]: ((^[Y5 : ($i > $i) > $i]: (Y0)))) @ 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 : $i]: (c_Repl @ Y8 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1))))))))) @ Y3))))))))))) => ((!! @ (((($i > $i) > $i > $i) > $i) > $i) @ (^[Y0 : ((($i > $i) > $i > $i) > $i) > $i]: (!! @ $i @ (^[Y1 : $i]: ((c_In @ (c_Inj1 @ c_Empty) @ Y1) => ((X2 @ (^[Y2 : $i]: ((^[Y3 : ($i > $i) > $i]: (c_Empty)))) @ c_Empty) => (X1 @ (^[Y2 : $i]: ((^[Y3 : $i]: ((^[Y4 : ($i > $i) > $i > $i]: (c_Inj1 @ c_Empty)))))) @ (c_Inj1 @ (c_Inj1 @ (Y0 @ (^[Y2 : ($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 > $i) @ (^[Y0 : $i > $i]: (!! @ $i @ (^[Y1 : $i]: ((X1 @ (^[Y2 : $i]: ((^[Y3 : $i]: ((^[Y4 : ($i > $i) > $i > $i]: (c_Empty)))))) @ (Y0 @ c_Empty) @ Y1) => $false))))) => $false)))))))) = $true)) )),
% 169.56/21.72 inference(forward_demodulation,[],[f324,f308])).
% 169.56/21.72 thf(f308,plain,(
% 169.56/21.72 ((!! @ $o @ (^[Y0 : $o]: (Y0))) = $false)),
% 169.56/21.72 inference(binary_proxy_clausification,[],[f307])).
% 169.56/21.72 thf(f307,plain,(
% 169.56/21.72 (((!! @ (($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 > $o) @ (^[Y1 : ($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 > $o) @ (^[Y3 : ($i > ($i > $i > $i) > $i) > $i > $i > $o]: ((!! @ $i @ (^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: (!! @ ((($i > $i > $i) > ($i > $i) > $i > $i) > $i) @ (^[Y6 : (($i > $i > $i) > ($i > $i) > $i > $i) > $i]: ((c_In @ (c_Repl @ Y4 @ 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 @ Y4 @ (^[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 @ (Y6 @ (^[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))) => (Y3 @ (^[Y7 : $i]: ((^[Y8 : $i > $i > $i]: (c_Repl @ Y7 @ c_Inj1)))) @ Y5 @ (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 @ (^[Y4 : $i]: (!! @ (((($i > $i) > $i > $i) > $i) > $i) @ (^[Y5 : ((($i > $i) > $i > $i) > $i) > $i]: (!! @ $i @ (^[Y6 : $i]: ((Y3 @ (^[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))) => (Y3 @ (^[Y7 : $i]: ((^[Y8 : $i > $i > $i]: (Y6)))) @ (c_binunion @ (c_Repl @ (Y5 @ (^[Y7 : ($i > $i) > $i > $i]: (Y6))) @ (^[Y7 : $i]: (c_Repl @ Y7 @ c_Inj1))) @ (c_Repl @ Y4 @ 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 : $i]: (c_Repl @ Y7 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1)) @ c_Inj1))) @ c_Inj1))))))))) => ((!! 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@ ($i > $i > $i) @ (^[Y4 : $i > $i > $i]: (!! @ $i @ (^[Y5 : $i]: (!! @ ($i > $i) @ (^[Y6 : $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 @ (Y4 @ 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)))) @ (Y4 @ c_Empty @ (Y6 @ (c_binunion @ (c_Repl @ (c_Inj1 @ c_Empty) @ (^[Y7 : $i]: (c_Repl @ Y7 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1))))))))))))) => (((Y3 @ (^[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)) => ((!! 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@ $i @ (^[Y5 : $i]: ((c_In @ (c_Inj1 @ c_Empty) @ Y5) => ((Y1 @ (^[Y6 : $i]: ((^[Y7 : ($i > $i) > $i]: (c_Empty)))) @ c_Empty) => (Y0 @ (^[Y6 : $i]: ((^[Y7 : $i]: ((^[Y8 : ($i > $i) > $i > $i]: (c_Inj1 @ c_Empty)))))) @ (c_Inj1 @ (c_Inj1 @ (Y4 @ (^[Y6 : ($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 > $i) @ (^[Y4 : $i > $i]: (!! @ $i @ (^[Y5 : $i]: ((Y0 @ (^[Y6 : $i]: ((^[Y7 : $i]: ((^[Y8 : ($i > $i) > $i > $i]: (c_Empty)))))) @ (Y4 @ c_Empty) @ Y5) => (!! @ $o @ (^[Y6 : $o]: (Y6)))))))) => (!! @ $o @ (^[Y4 : $o]: (Y4))))))))))))))))))) => (!! @ $o @ (^[Y0 : $o]: (Y0)))) = $false)),
% 169.56/21.72 inference(not_proxy_clausification,[],[f306])).
% 169.56/21.72 thf(f306,plain,(
% 169.56/21.72 ((~ ((!! @ (($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 > $o) @ (^[Y1 : ($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 > $o) @ (^[Y3 : ($i > ($i > $i > $i) > $i) > $i > $i > $o]: ((!! @ $i @ (^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: (!! @ ((($i > $i > $i) > ($i > $i) > $i > $i) > $i) @ (^[Y6 : (($i > $i > $i) > ($i > $i) > $i > $i) > $i]: ((c_In @ (c_Repl @ Y4 @ 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 @ Y4 @ (^[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 @ (Y6 @ (^[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))) => (Y3 @ (^[Y7 : $i]: ((^[Y8 : $i > $i > $i]: (c_Repl @ Y7 @ c_Inj1)))) @ Y5 @ (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 : $i]: (c_Repl @ Y7 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1))))))))))) => ((!! 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% 169.56/21.72 inference(beta_eta_normalization,[],[f301])).
% 169.56/21.72 thf(f301,plain,(
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@ (((($i > $i) > $i > $i) > $i) > $i) @ (^[Y4 : ((($i > $i) > $i > $i) > $i) > $i]: (!! @ $i @ (^[Y5 : $i]: ((c_In @ (c_Inj1 @ c_Empty) @ Y5) => ((Y1 @ (^[Y6 : $i]: ((^[Y7 : ($i > $i) > $i]: (c_Empty)))) @ c_Empty) => (Y0 @ (^[Y6 : $i]: ((^[Y7 : $i]: ((^[Y8 : ($i > $i) > $i > $i]: (c_Inj1 @ c_Empty)))))) @ (c_Inj1 @ (c_Inj1 @ (Y4 @ (^[Y6 : ($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 > $i) @ (^[Y4 : $i > $i]: (!! @ $i @ (^[Y5 : $i]: ((Y0 @ (^[Y6 : $i]: ((^[Y7 : $i]: ((^[Y8 : ($i > $i) > $i > $i]: (c_Empty)))))) @ (Y4 @ c_Empty) @ Y5) => (!! @ $o @ (^[Y6 : $o]: (Y6)))))))) => (!! @ $o @ (^[Y4 : $o]: (Y4))))))))))))))))))))) = $true)),
% 169.56/21.72 inference(definition_unfolding,[],[f291,f299,f295,f298,f298,f298,f295,f298,f295,f295,f298,f295,f298,f295,f298,f298,f298,f298,f295,f298,f298,f298,f298,f298,f298,f295,f298,f298,f298,f295,f298,f298,f298,f295,f298,f295,f298,f295,f298,f295,f295,f295,f298,f298,f295,f298,f298,f298,f298,f298,f295,f298,f298,f298,f298,f295,f295,f298,f298,f295,f298,f295,f298,f298,f298,f298,f298,f298,f298,f298,f295,f295,f294,f294])).
% 169.56/21.72 thf(f294,plain,(
% 169.56/21.72 (c_False = (!! @ $o @ (^[Y0 : $o]: (Y0))))),
% 169.56/21.72 inference(cnf_transformation,[],[f264])).
% 169.56/21.72 thf(f264,plain,(
% 169.56/21.72 (c_False = (!! @ $o @ (^[Y0 : $o]: (Y0))))),
% 169.56/21.72 inference(fool_elimination,[],[f263])).
% 169.56/21.72 thf(f263,plain,(
% 169.56/21.72 (c_False = ! [X0 : $o] : X0)),
% 169.56/21.72 inference(rectify,[],[f11])).
% 169.56/21.72 thf(f11,axiom,(
% 169.56/21.72 (c_False = ! [X0 : $o] : X0)),
% 169.56/21.72 file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax11)).
% 169.56/21.72 thf(f298,plain,(
% 169.56/21.72 (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))))))))),
% 169.56/21.72 inference(definition_unfolding,[],[f293,f295])).
% 169.56/21.72 thf(f293,plain,(
% 169.56/21.72 (c_setsum = (^[Y0 : $i]: ((^[Y1 : $i]: (c_binunion @ (c_Repl @ Y0 @ (^[Y2 : $i]: (c_Inj0 @ Y2))) @ (c_Repl @ Y1 @ (^[Y2 : $i]: (c_Inj1 @ Y2))))))))),
% 169.56/21.72 inference(cnf_transformation,[],[f282])).
% 169.56/21.72 thf(f282,plain,(
% 169.56/21.72 (c_setsum = (^[Y0 : $i]: ((^[Y1 : $i]: (c_binunion @ (c_Repl @ Y0 @ (^[Y2 : $i]: (c_Inj0 @ Y2))) @ (c_Repl @ Y1 @ (^[Y2 : $i]: (c_Inj1 @ Y2))))))))),
% 169.56/21.72 inference(fool_elimination,[],[f281])).
% 169.56/21.72 thf(f281,plain,(
% 169.56/21.72 ((^[X0 : $i, X1 : $i] : (c_binunion @ (c_Repl @ X0 @ (^[X2 : $i] : (c_Inj0 @ X2))) @ (c_Repl @ X1 @ (^[X3 : $i] : (c_Inj1 @ X3))))) = c_setsum)),
% 169.56/21.72 inference(rectify,[],[f73])).
% 169.56/21.72 thf(f73,axiom,(
% 169.56/21.72 ((^[X0 : $i, X1 : $i] : (c_binunion @ (c_Repl @ X0 @ (^[X2 : $i] : (c_Inj0 @ X2))) @ (c_Repl @ X1 @ (^[X2 : $i] : (c_Inj1 @ X2))))) = c_setsum)),
% 169.56/21.72 file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax73)).
% 169.56/21.72 thf(f295,plain,(
% 169.56/21.72 (c_Inj0 = (^[Y0 : $i]: (c_Repl @ Y0 @ (^[Y1 : $i]: (c_Inj1 @ Y1)))))),
% 169.56/21.72 inference(cnf_transformation,[],[f287])).
% 169.56/21.72 thf(f287,plain,(
% 169.56/21.72 (c_Inj0 = (^[Y0 : $i]: (c_Repl @ Y0 @ (^[Y1 : $i]: (c_Inj1 @ Y1)))))),
% 169.56/21.72 inference(fool_elimination,[],[f70])).
% 169.56/21.72 thf(f70,axiom,(
% 169.56/21.72 (c_Inj0 = (^[X0 : $i] : (c_Repl @ X0 @ (^[X1 : $i] : (c_Inj1 @ X1)))))),
% 169.56/21.72 file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax70)).
% 169.56/21.72 thf(f299,plain,(
% 169.56/21.72 (c_not = (^[Y0 : $o]: (Y0 => (!! @ $o @ (^[Y1 : $o]: (Y1))))))),
% 169.56/21.72 inference(definition_unfolding,[],[f292,f294])).
% 169.56/21.72 thf(f292,plain,(
% 169.56/21.72 (c_not = (^[Y0 : $o]: (Y0 => c_False)))),
% 169.56/21.72 inference(cnf_transformation,[],[f141])).
% 169.56/21.72 thf(f141,plain,(
% 169.56/21.72 (c_not = (^[Y0 : $o]: (Y0 => c_False)))),
% 169.56/21.72 inference(fool_elimination,[],[f140])).
% 169.56/21.72 thf(f140,plain,(
% 169.56/21.72 (c_not = (^[X0 : $o] : (X0 => c_False)))),
% 169.56/21.72 inference(rectify,[],[f13])).
% 169.56/21.72 thf(f13,axiom,(
% 169.56/21.72 (c_not = (^[X0 : $o] : (X0 => c_False)))),
% 169.56/21.72 file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax13)).
% 169.56/21.72 thf(f291,plain,(
% 169.56/21.72 ((~ (c_not @ (!! @ (($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 > $o) @ (^[Y1 : ($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 > $o) @ (^[Y3 : ($i > ($i > $i > $i) > $i) > $i > $i > $o]: ((!! @ $i @ (^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: (!! @ ((($i > $i > $i) > ($i > $i) > $i > $i) > $i) @ (^[Y6 : (($i > $i > $i) > ($i > $i) > $i > $i) > $i]: ((c_In @ (c_Inj0 @ Y4) @ (c_setsum @ (c_setsum @ c_Empty @ c_Empty) @ (c_setsum @ Y4 @ (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 @ (Y6 @ (^[Y7 : $i > $i > $i]: ((^[Y8 : $i > $i]: ((^[Y9 : $i]: (c_Inj0 @ (c_setsum @ c_Empty @ c_Empty)))))))) @ c_Empty)) => (Y3 @ (^[Y7 : $i]: ((^[Y8 : $i > $i > $i]: (c_Inj0 @ Y7)))) @ Y5 @ (c_setsum @ (c_setsum @ (c_setsum @ c_Empty @ (c_setsum @ c_Empty @ c_Empty)) @ (c_Inj0 @ c_Empty)) @ c_Empty)))))))))) => ((!! @ $i @ (^[Y4 : $i]: (!! @ (((($i > $i) > $i > $i) > $i) > $i) @ (^[Y5 : ((($i > $i) > $i > $i) > $i) > $i]: (!! @ $i @ (^[Y6 : $i]: ((Y3 @ (^[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))))) => (Y3 @ (^[Y7 : $i]: ((^[Y8 : $i > $i > $i]: (Y6)))) @ (c_setsum @ (Y5 @ (^[Y7 : ($i > $i) > $i > $i]: (Y6))) @ Y4) @ (c_Inj0 @ (c_Inj1 @ (c_setsum @ (c_setsum @ c_Empty @ c_Empty) @ (c_setsum @ c_Empty @ c_Empty)))))))))))) => ((!! @ ($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))))))) => ((Y0 @ (^[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 > $i) @ (^[Y4 : $i > $i > $i]: (!! @ $i @ (^[Y5 : $i]: (!! @ ($i > $i) @ (^[Y6 : $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) @ (Y4 @ 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)))) @ (Y4 @ c_Empty @ (Y6 @ (c_setsum @ (c_Inj1 @ c_Empty) @ c_Empty)))))))))))) => (((Y3 @ (^[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 @ Y6) @ (c_setsum @ (c_setsum @ Y5 @ (c_setsum @ Y7 @ (c_setsum @ c_Empty @ c_Empty))) @ (c_Inj1 @ (c_setsum @ Y7 @ c_Empty)))) => ((Y1 @ (^[Y8 : $i]: ((^[Y9 : ($i > $i) > $i]: (Y4)))) @ c_Empty) => (Y2 @ (^[Y8 : $i]: (c_Empty)) @ (^[Y8 : (($i > $i) > $i) > $i]: ((^[Y9 : $i > $i > $i]: ((^[Y10 : $i]: ((^[Y11 : $i]: (c_setsum @ c_Empty @ c_Empty)))))))) @ Y7))))))))))) => ((!! @ (((($i > $i) > $i > $i) > $i) > $i) @ (^[Y4 : ((($i > $i) > $i > $i) > $i) > $i]: (!! @ $i @ (^[Y5 : $i]: ((c_In @ (c_Inj1 @ c_Empty) @ Y5) => ((Y1 @ (^[Y6 : $i]: ((^[Y7 : ($i > $i) > $i]: (c_Empty)))) @ c_Empty) => (Y0 @ (^[Y6 : $i]: ((^[Y7 : $i]: ((^[Y8 : ($i > $i) > $i > $i]: (c_Inj1 @ c_Empty)))))) @ (c_Inj1 @ (c_Inj1 @ (Y4 @ (^[Y6 : ($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 > $i) @ (^[Y4 : $i > $i]: (!! @ $i @ (^[Y5 : $i]: ((Y0 @ (^[Y6 : $i]: ((^[Y7 : $i]: ((^[Y8 : ($i > $i) > $i > $i]: (c_Empty)))))) @ (Y4 @ c_Empty) @ Y5) => c_False))))) => c_False)))))))))))))))))) = $true)),
% 169.56/21.72 inference(cnf_transformation,[],[f164])).
% 169.56/21.72 thf(f164,plain,(
% 169.56/21.72 ((~ (c_not @ (!! @ (($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 > $o) @ (^[Y1 : ($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 > $o) @ (^[Y3 : ($i > ($i > $i > $i) > $i) > $i > $i > $o]: ((!! @ $i @ (^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: (!! @ ((($i > $i > $i) > ($i > $i) > $i > $i) > $i) @ (^[Y6 : (($i > $i > $i) > ($i > $i) > $i > $i) > $i]: ((c_In @ (c_Inj0 @ Y4) @ (c_setsum @ (c_setsum @ c_Empty @ c_Empty) @ (c_setsum @ Y4 @ (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 @ (Y6 @ (^[Y7 : $i > $i > $i]: ((^[Y8 : $i > $i]: ((^[Y9 : $i]: (c_Inj0 @ (c_setsum @ c_Empty @ c_Empty)))))))) @ c_Empty)) => (Y3 @ (^[Y7 : $i]: ((^[Y8 : $i > $i > $i]: (c_Inj0 @ Y7)))) @ Y5 @ (c_setsum @ (c_setsum @ (c_setsum @ c_Empty @ (c_setsum @ c_Empty @ c_Empty)) @ (c_Inj0 @ c_Empty)) @ c_Empty)))))))))) => ((!! @ $i @ (^[Y4 : $i]: (!! @ (((($i > $i) > $i > $i) > $i) > $i) @ (^[Y5 : ((($i > $i) > $i > $i) > $i) > $i]: (!! @ $i @ (^[Y6 : $i]: ((Y3 @ (^[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))))) => (Y3 @ (^[Y7 : $i]: ((^[Y8 : $i > $i > $i]: (Y6)))) @ (c_setsum @ (Y5 @ (^[Y7 : ($i > $i) > $i > $i]: (Y6))) @ Y4) @ (c_Inj0 @ (c_Inj1 @ (c_setsum @ (c_setsum @ c_Empty @ c_Empty) @ (c_setsum @ c_Empty @ c_Empty)))))))))))) => ((!! @ ($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))))))) => ((Y0 @ (^[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 > $i) @ (^[Y4 : $i > $i > $i]: (!! @ $i @ (^[Y5 : $i]: (!! @ ($i > $i) @ (^[Y6 : $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) @ (Y4 @ 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)))) @ (Y4 @ c_Empty @ (Y6 @ (c_setsum @ (c_Inj1 @ c_Empty) @ c_Empty)))))))))))) => (((Y3 @ (^[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 @ Y6) @ (c_setsum @ (c_setsum @ Y5 @ (c_setsum @ Y7 @ (c_setsum @ c_Empty @ c_Empty))) @ (c_Inj1 @ (c_setsum @ Y7 @ c_Empty)))) => ((Y1 @ (^[Y8 : $i]: ((^[Y9 : ($i > $i) > $i]: (Y4)))) @ c_Empty) => (Y2 @ (^[Y8 : $i]: (c_Empty)) @ (^[Y8 : (($i > $i) > $i) > $i]: ((^[Y9 : $i > $i > $i]: ((^[Y10 : $i]: ((^[Y11 : $i]: (c_setsum @ c_Empty @ c_Empty)))))))) @ Y7))))))))))) => ((!! @ (((($i > $i) > $i > $i) > $i) > $i) @ (^[Y4 : ((($i > $i) > $i > $i) > $i) > $i]: (!! @ $i @ (^[Y5 : $i]: ((c_In @ (c_Inj1 @ c_Empty) @ Y5) => ((Y1 @ (^[Y6 : $i]: ((^[Y7 : ($i > $i) > $i]: (c_Empty)))) @ c_Empty) => (Y0 @ (^[Y6 : $i]: ((^[Y7 : $i]: ((^[Y8 : ($i > $i) > $i > $i]: (c_Inj1 @ c_Empty)))))) @ (c_Inj1 @ (c_Inj1 @ (Y4 @ (^[Y6 : ($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 > $i) @ (^[Y4 : $i > $i]: (!! @ $i @ (^[Y5 : $i]: ((Y0 @ (^[Y6 : $i]: ((^[Y7 : $i]: ((^[Y8 : ($i > $i) > $i > $i]: (c_Empty)))))) @ (Y4 @ c_Empty) @ Y5) => c_False))))) => c_False)))))))))))))))))) = $true)),
% 169.56/21.72 inference(fool_elimination,[],[f163])).
% 169.56/21.72 thf(f163,plain,(
% 169.56/21.72 ~(c_not @ ! [X0 : ($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) > $i > $i > $o] : (! [X4 : (($i > $i > $i) > ($i > $i) > $i > $i) > $i,X5,X6] : ((c_In @ (c_Inj0 @ X6) @ (c_setsum @ (c_setsum @ c_Empty @ c_Empty) @ (c_setsum @ X6 @ (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 @ (X4 @ (^[X13 : $i > $i > $i, X14 : $i > $i, X15 : $i] : (c_Inj0 @ (c_setsum @ c_Empty @ c_Empty)))) @ c_Empty)) => (X0 @ (^[X16 : $i, X17 : $i > $i > $i] : (c_Inj0 @ X16)) @ X5 @ (c_setsum @ (c_setsum @ (c_setsum @ c_Empty @ (c_setsum @ c_Empty @ c_Empty)) @ (c_Inj0 @ c_Empty)) @ c_Empty)))) => (! [X18,X20 : ((($i > $i) > $i > $i) > $i) > $i,X21] : ((X0 @ (^[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))))) => (X0 @ (^[X24 : $i, X25 : $i > $i > $i] : (X18)) @ (c_setsum @ (X20 @ (^[X26 : ($i > $i) > $i > $i] : (X18))) @ X21) @ (c_Inj0 @ (c_Inj1 @ (c_setsum @ (c_setsum @ c_Empty @ c_Empty) @ (c_setsum @ c_Empty @ c_Empty)))))) => (! [X27,X28 : ((($i > $i) > $i > $i) > ($i > $i) > $i > $i) > ($i > $i > $i) > $i,X29 : $i > (($i > $i) > $i > $i) > $i] : ((c_In @ (c_Inj0 @ c_Empty) @ (c_setsum @ c_Empty @ (X29 @ (c_Inj0 @ (c_setsum @ c_Empty @ c_Empty)) @ (^[X31 : $i > $i, X32 : $i] : (c_Inj0 @ c_Empty))))) => ((X3 @ (^[X33 : $i, X34 : $i, X35 : ($i > $i) > $i > $i] : (X33)) @ X27 @ (X28 @ (^[X36 : ($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 : $i] : (X44)) @ (c_setsum @ (c_Inj0 @ c_Empty) @ (X28 @ (^[X46 : ($i > $i) > $i > $i, X47 : $i > $i, X48 : $i] : (c_Inj0 @ c_Empty)) @ (^[X49 : $i, X50 : $i] : (X50))))))) => (! [X51 : $i > $i,X52,X54 : $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) @ (X54 @ 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)) @ (X54 @ c_Empty @ (X51 @ (c_setsum @ (c_Inj1 @ c_Empty) @ c_Empty)))))) => (((X0 @ (^[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 @ X72) @ (c_setsum @ (c_setsum @ X73 @ (c_setsum @ X71 @ (c_setsum @ c_Empty @ c_Empty))) @ (c_Inj1 @ (c_setsum @ X71 @ c_Empty)))) => ((X2 @ (^[X75 : $i, X76 : ($i > $i) > $i] : (X74)) @ c_Empty) => (X1 @ (^[X77 : $i] : (c_Empty)) @ (^[X78 : (($i > $i) > $i) > $i, X79 : $i > $i > $i, X80 : $i, X81 : $i] : (c_setsum @ c_Empty @ c_Empty)) @ X71))) => (! [X83,X85 : ((($i > $i) > $i > $i) > $i) > $i] : ((c_In @ (c_Inj1 @ c_Empty) @ X83) => ((X2 @ (^[X86 : $i, X87 : ($i > $i) > $i] : (c_Empty)) @ c_Empty) => (X3 @ (^[X88 : $i, X89 : $i, X90 : ($i > $i) > $i > $i] : (c_Inj1 @ c_Empty)) @ (c_Inj1 @ (c_Inj1 @ (X85 @ (^[X91 : ($i > $i) > $i > $i] : (c_Empty))))) @ (c_Inj1 @ (c_setsum @ (c_setsum @ (c_Inj0 @ c_Empty) @ c_Empty) @ (c_Inj1 @ (c_Inj0 @ c_Empty))))))) => (! [X92,X94 : $i > $i] : ((X3 @ (^[X96 : $i, X97 : $i, X98 : ($i > $i) > $i > $i] : (c_Empty)) @ (X94 @ c_Empty) @ X92) => c_False) => c_False)))))))))),
% 169.56/21.72 inference(rectify,[],[f110])).
% 169.56/21.72 thf(f110,negated_conjecture,(
% 169.56/21.72 ~(c_not @ ! [X3 : ($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 > $o,X0 : ($i > $i > (($i > $i) > $i > $i) > $i) > $i > $i > $o] : (! [X4 : (($i > $i > $i) > ($i > $i) > $i > $i) > $i,X5,X6,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,X5 : $i > $i,X4 : ((($i > $i) > $i > $i) > $i) > $i,X6] : ((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 > $i] : (X7))) @ X6) @ (c_Inj0 @ (c_Inj1 @ (c_setsum @ (c_setsum @ c_Empty @ c_Empty) @ (c_setsum @ c_Empty @ c_Empty)))))) => (! [X7,X6 : ((($i > $i) > $i > $i) > ($i > $i) > $i > $i) > ($i > $i > $i) > $i,X5 : $i > (($i > $i) > $i > $i) > $i,X4] : ((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))))))) => (! [X5 : $i > $i,X6,X7 : $i > $i,X4 : $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) @ (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)))))) => (! [X6 : $i > $i,X7,X5 : $i > $i,X4] : ((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)) => (! [X5,X6,X4,X7] : ((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 : $i] : (c_setsum @ c_Empty @ c_Empty)) @ X5))) => (! [X6,X5,X7,X4 : ((($i > $i) > $i > $i) > $i) > $i] : ((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))))))) => (! [X7,X5,X4 : $i > $i,X6 : $i > $i] : ((X0 @ (^[X8 : $i, X9 : $i, X10 : ($i > $i) > $i > $i] : (c_Empty)) @ (X4 @ c_Empty) @ X7) => c_False) => c_False)))))))))),
% 169.56/21.72 inference(negated_conjecture,[],[f109])).
% 169.56/21.72 thf(f109,conjecture,(
% 169.56/21.72 (c_not @ ! [X3 : ($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 > $o,X0 : ($i > $i > (($i > $i) > $i > $i) > $i) > $i > $i > $o] : (! [X4 : (($i > $i > $i) > ($i > $i) > $i > $i) > $i,X5,X6,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,X5 : $i > $i,X4 : ((($i > $i) > $i > $i) > $i) > $i,X6] : ((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 > $i] : (X7))) @ X6) @ (c_Inj0 @ (c_Inj1 @ (c_setsum @ (c_setsum @ c_Empty @ c_Empty) @ (c_setsum @ c_Empty @ c_Empty)))))) => (! [X7,X6 : ((($i > $i) > $i > $i) > ($i > $i) > $i > $i) > ($i > $i > $i) > $i,X5 : $i > (($i > $i) > $i > $i) > $i,X4] : ((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))))))) => (! [X5 : $i > $i,X6,X7 : $i > $i,X4 : $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) @ (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)))))) => (! [X6 : $i > $i,X7,X5 : $i > $i,X4] : ((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)) => (! [X5,X6,X4,X7] : ((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 : $i] : (c_setsum @ c_Empty @ c_Empty)) @ X5))) => (! [X6,X5,X7,X4 : ((($i > $i) > $i > $i) > $i) > $i] : ((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))))))) => (! [X7,X5,X4 : $i > $i,X6 : $i > $i] : ((X0 @ (^[X8 : $i, X9 : $i, X10 : ($i > $i) > $i > $i] : (c_Empty)) @ (X4 @ c_Empty) @ X7) => c_False) => c_False)))))))))),
% 169.56/21.72 file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj)).
% 169.56/21.72 thf(f324,plain,(
% 169.56/21.72 ( ! [X2 : ($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) > $i > $i > $o,X4 : ($i > ($i > $i > $i) > $i) > $i > $i > $o] : (($true = ((!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (!! @ ((($i > $i > $i) > ($i > $i) > $i > $i) > $i) @ (^[Y2 : (($i > $i > $i) > ($i > $i) > $i > $i) > $i]: ((c_In @ (c_Repl @ Y0 @ 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 @ Y0 @ (^[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 @ (Y2 @ (^[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))) => (X4 @ (^[Y3 : $i]: ((^[Y4 : $i > $i > $i]: (c_Repl @ Y3 @ c_Inj1)))) @ Y1 @ (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 @ (^[Y0 : $i]: (!! @ (((($i > $i) > $i > $i) > $i) > $i) @ (^[Y1 : ((($i > $i) > $i > $i) > $i) > $i]: (!! @ $i @ (^[Y2 : $i]: ((X4 @ (^[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))) => (X4 @ (^[Y3 : $i]: ((^[Y4 : $i > $i > $i]: (Y2)))) @ (c_binunion @ (c_Repl @ (Y1 @ (^[Y3 : ($i > $i) > $i > $i]: (Y2))) @ (^[Y3 : $i]: (c_Repl @ Y3 @ c_Inj1))) @ (c_Repl @ Y0 @ 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))) => ((X1 @ (^[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))))))))))) => ((!! 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@ $i @ (^[Y1 : $i]: ((c_In @ (c_Inj1 @ c_Empty) @ Y1) => ((X2 @ (^[Y2 : $i]: ((^[Y3 : ($i > $i) > $i]: (c_Empty)))) @ c_Empty) => (X1 @ (^[Y2 : $i]: ((^[Y3 : $i]: ((^[Y4 : ($i > $i) > $i > $i]: (c_Inj1 @ c_Empty)))))) @ (c_Inj1 @ (c_Inj1 @ (Y0 @ (^[Y2 : ($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 > $i) @ (^[Y0 : $i > $i]: (!! @ $i @ (^[Y1 : $i]: ((X1 @ (^[Y2 : $i]: ((^[Y3 : $i]: ((^[Y4 : ($i > $i) > $i > $i]: (c_Empty)))))) @ (Y0 @ c_Empty) @ Y1) => (!! @ $o @ (^[Y2 : $o]: (Y2)))))))) => (!! @ $o @ (^[Y0 : $o]: (Y0))))))))))))) )),
% 169.56/21.72 inference(beta_eta_normalization,[],[f323])).
% 169.56/21.72 thf(f323,plain,(
% 169.56/21.72 ( ! 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@ $i @ (^[Y2 : $i]: ((c_In @ (c_Inj1 @ c_Empty) @ Y2) => ((X2 @ (^[Y3 : $i]: ((^[Y4 : ($i > $i) > $i]: (c_Empty)))) @ c_Empty) => (X1 @ (^[Y3 : $i]: ((^[Y4 : $i]: ((^[Y5 : ($i > $i) > $i > $i]: (c_Inj1 @ c_Empty)))))) @ (c_Inj1 @ (c_Inj1 @ (Y1 @ (^[Y3 : ($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 > $i) @ (^[Y1 : $i > $i]: (!! @ $i @ (^[Y2 : $i]: ((X1 @ (^[Y3 : $i]: ((^[Y4 : $i]: ((^[Y5 : ($i > $i) > $i > $i]: (c_Empty)))))) @ (Y1 @ c_Empty) @ Y2) => (!! @ $o @ (^[Y3 : $o]: (Y3)))))))) => (!! @ $o @ (^[Y1 : $o]: (Y1)))))))))))) @ X4) = $true)) )),
% 169.56/21.72 inference(pi_clausification,[],[f322])).
% 169.56/21.72 thf(f322,plain,(
% 169.56/21.72 ( ! [X2 : ($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) > $i > $i > $o] : (((!! @ (($i > ($i > $i > $i) > $i) > $i > $i > $o) @ (^[Y0 : ($i > ($i > $i > $i) > $i) > $i > $i > $o]: ((!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (!! @ ((($i > $i > $i) > ($i > $i) > $i > $i) > $i) @ (^[Y3 : (($i > $i > $i) > ($i > $i) > $i > $i) > $i]: ((c_In @ (c_Repl @ Y1 @ 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 @ Y1 @ (^[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 @ (Y3 @ (^[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))) => (Y0 @ (^[Y4 : $i]: ((^[Y5 : $i > $i > $i]: (c_Repl @ Y4 @ c_Inj1)))) @ Y2 @ (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 @ (^[Y1 : $i]: (!! @ (((($i > $i) > $i > $i) > $i) > $i) @ (^[Y2 : ((($i > $i) > $i > $i) > $i) > $i]: (!! @ $i @ (^[Y3 : $i]: ((Y0 @ (^[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))) => (Y0 @ (^[Y4 : $i]: ((^[Y5 : $i > $i > $i]: (Y3)))) @ (c_binunion @ (c_Repl @ (Y2 @ (^[Y4 : ($i > $i) > $i > $i]: (Y3))) @ (^[Y4 : $i]: (c_Repl @ Y4 @ c_Inj1))) @ (c_Repl @ Y1 @ 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))) => ((X1 @ (^[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 > $i) @ (^[Y1 : $i > $i > $i]: (!! @ $i @ (^[Y2 : $i]: (!! @ ($i > $i) @ (^[Y3 : $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 @ (Y1 @ 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)))) @ (Y1 @ c_Empty @ (Y3 @ (c_binunion @ (c_Repl @ (c_Inj1 @ c_Empty) @ (^[Y4 : $i]: (c_Repl @ Y4 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1))))))))))))) => (((Y0 @ (^[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 @ Y3 @ c_Inj1) @ (c_binunion @ (c_Repl @ (c_binunion @ (c_Repl @ Y2 @ (^[Y5 : $i]: (c_Repl @ Y5 @ c_Inj1))) @ (c_Repl @ (c_binunion @ (c_Repl @ Y4 @ (^[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 @ Y4 @ (^[Y5 : $i]: (c_Repl @ Y5 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1))) @ c_Inj1))) => ((X2 @ (^[Y5 : $i]: ((^[Y6 : ($i > $i) > $i]: (Y1)))) @ 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 : $i]: (c_Repl @ Y9 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1))))))))) @ Y4))))))))))) => ((!! @ (((($i > $i) > $i > $i) > $i) > $i) @ (^[Y1 : ((($i > $i) > $i > $i) > $i) > $i]: (!! @ $i @ (^[Y2 : $i]: ((c_In @ (c_Inj1 @ c_Empty) @ Y2) => ((X2 @ (^[Y3 : $i]: ((^[Y4 : ($i > $i) > $i]: (c_Empty)))) @ c_Empty) => (X1 @ (^[Y3 : $i]: ((^[Y4 : $i]: ((^[Y5 : ($i > $i) > $i > $i]: (c_Inj1 @ c_Empty)))))) @ (c_Inj1 @ (c_Inj1 @ (Y1 @ (^[Y3 : ($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 > $i) @ (^[Y1 : $i > $i]: (!! @ $i @ (^[Y2 : $i]: ((X1 @ (^[Y3 : $i]: ((^[Y4 : $i]: ((^[Y5 : ($i > $i) > $i > $i]: (c_Empty)))))) @ (Y1 @ c_Empty) @ Y2) => (!! @ $o @ (^[Y3 : $o]: (Y3)))))))) => (!! @ $o @ (^[Y1 : $o]: (Y1))))))))))))) = $true)) )),
% 169.56/21.72 inference(beta_eta_normalization,[],[f321])).
% 169.56/21.72 thf(f321,plain,(
% 169.56/21.72 ( ! 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@ $i @ (^[Y3 : $i]: ((c_In @ (c_Inj1 @ c_Empty) @ Y3) => ((X2 @ (^[Y4 : $i]: ((^[Y5 : ($i > $i) > $i]: (c_Empty)))) @ c_Empty) => (X1 @ (^[Y4 : $i]: ((^[Y5 : $i]: ((^[Y6 : ($i > $i) > $i > $i]: (c_Inj1 @ c_Empty)))))) @ (c_Inj1 @ (c_Inj1 @ (Y2 @ (^[Y4 : ($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 > $i) @ (^[Y2 : $i > $i]: (!! @ $i @ (^[Y3 : $i]: ((X1 @ (^[Y4 : $i]: ((^[Y5 : $i]: ((^[Y6 : ($i > $i) > $i > $i]: (c_Empty)))))) @ (Y2 @ c_Empty) @ Y3) => (!! @ $o @ (^[Y4 : $o]: (Y4)))))))) => (!! @ $o @ (^[Y2 : $o]: (Y2)))))))))))))) @ X3) = $true)) )),
% 169.56/21.72 inference(pi_clausification,[],[f320])).
% 169.56/21.72 thf(f320,plain,(
% 169.56/21.72 ( ! [X2 : ($i > (($i > $i) > $i) > $i) > $i > $o,X1 : ($i > $i > (($i > $i) > $i > $i) > $i) > $i > $i > $o] : (((!! @ (($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 > $o) @ (^[Y1 : ($i > ($i > $i > $i) > $i) > $i > $i > $o]: ((!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: (!! @ ((($i > $i > $i) > ($i > $i) > $i > $i) > $i) @ (^[Y4 : (($i > $i > $i) > ($i > $i) > $i > $i) > $i]: ((c_In @ (c_Repl @ Y2 @ 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 @ Y2 @ (^[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 @ (Y4 @ (^[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))) => (Y1 @ (^[Y5 : $i]: ((^[Y6 : $i > $i > $i]: (c_Repl @ Y5 @ c_Inj1)))) @ Y3 @ (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))))))))))) => ((!! @ $i @ (^[Y2 : $i]: (!! @ (((($i > $i) > $i > $i) > $i) > $i) @ (^[Y3 : ((($i > $i) > $i > $i) > $i) > $i]: (!! @ $i @ (^[Y4 : $i]: ((Y1 @ (^[Y5 : $i]: ((^[Y6 : $i > $i > $i]: (c_Empty)))) @ Y4 @ (c_binunion @ (c_Repl @ (c_binunion @ (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_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_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_Inj1 @ (c_binunion @ (c_Repl @ c_Empty @ (^[Y5 : $i]: (c_Repl @ Y5 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1))) @ c_Inj1)) @ c_Inj1))) => (Y1 @ (^[Y5 : $i]: ((^[Y6 : $i > $i > $i]: (Y4)))) @ (c_binunion @ (c_Repl @ (Y3 @ (^[Y5 : ($i > $i) > $i > $i]: (Y4))) @ (^[Y5 : $i]: (c_Repl @ Y5 @ c_Inj1))) @ (c_Repl @ Y2 @ c_Inj1)) @ (c_Repl @ (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 @ c_Empty @ (^[Y5 : $i]: (c_Repl @ Y5 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1)) @ c_Inj1))) @ c_Inj1))))))))) => ((!! @ ($i > (($i > $i) > $i > $i) > $i) @ (^[Y2 : $i > (($i > $i) > $i > $i) > $i]: (!! @ (((($i > $i) > $i > $i) > ($i > $i) > $i > $i) > ($i > $i > $i) > $i) @ (^[Y3 : ((($i > $i) > $i > $i) > ($i > $i) > $i > $i) > ($i > $i > $i) > $i]: (!! @ $i @ (^[Y4 : $i]: ((c_In @ (c_Repl @ c_Empty @ c_Inj1) @ (c_binunion @ (c_Repl @ c_Empty @ (^[Y5 : $i]: (c_Repl @ Y5 @ c_Inj1))) @ (c_Repl @ (Y2 @ (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 > $i]: ((^[Y6 : $i]: (c_Repl @ c_Empty @ c_Inj1))))) @ c_Inj1))) => ((X1 @ (^[Y5 : $i]: ((^[Y6 : $i]: ((^[Y7 : ($i > $i) > $i > $i]: (Y5)))))) @ Y4 @ (Y3 @ (^[Y5 : ($i > $i) > $i > $i]: ((^[Y6 : $i > $i]: ((^[Y7 : $i]: (c_Inj1 @ c_Empty)))))) @ (^[Y5 : $i]: ((^[Y6 : $i]: (c_Empty)))))) => (Y0 @ (^[Y5 : $i]: (Y5)) @ (^[Y5 : (($i > $i) > $i) > $i]: ((^[Y6 : $i > $i > $i]: ((^[Y7 : $i]: ((^[Y8 : $i]: (Y7)))))))) @ (c_binunion @ (c_Repl @ (c_Repl @ c_Empty @ c_Inj1) @ (^[Y5 : $i]: (c_Repl @ Y5 @ c_Inj1))) @ (c_Repl @ (Y3 @ (^[Y5 : ($i > $i) > $i > $i]: ((^[Y6 : $i > $i]: ((^[Y7 : $i]: (c_Repl @ c_Empty @ c_Inj1)))))) @ (^[Y5 : $i]: ((^[Y6 : $i]: (Y6))))) @ c_Inj1))))))))))) => ((!! @ ($i > $i > $i) @ (^[Y2 : $i > $i > $i]: (!! @ $i @ (^[Y3 : $i]: (!! @ ($i > $i) @ (^[Y4 : $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 @ (Y2 @ 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)))) @ (Y2 @ c_Empty @ (Y4 @ (c_binunion @ (c_Repl @ (c_Inj1 @ c_Empty) @ (^[Y5 : $i]: (c_Repl @ Y5 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1))))))))))))) => (((Y1 @ (^[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 @ Y4 @ c_Inj1) @ (c_binunion @ (c_Repl @ (c_binunion @ (c_Repl @ Y3 @ (^[Y6 : $i]: (c_Repl @ Y6 @ c_Inj1))) @ (c_Repl @ (c_binunion @ (c_Repl @ Y5 @ (^[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 @ Y5 @ (^[Y6 : $i]: (c_Repl @ Y6 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1))) @ c_Inj1))) => ((X2 @ (^[Y6 : $i]: ((^[Y7 : ($i > $i) > $i]: (Y2)))) @ 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 : $i]: (c_Repl @ Y10 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1))))))))) @ Y5))))))))))) => ((!! @ (((($i > $i) > $i > $i) > $i) > $i) @ (^[Y2 : ((($i > $i) > $i > $i) > $i) > $i]: (!! @ $i @ (^[Y3 : $i]: ((c_In @ (c_Inj1 @ c_Empty) @ Y3) => ((X2 @ (^[Y4 : $i]: ((^[Y5 : ($i > $i) > $i]: (c_Empty)))) @ c_Empty) => (X1 @ (^[Y4 : $i]: ((^[Y5 : $i]: ((^[Y6 : ($i > $i) > $i > $i]: (c_Inj1 @ c_Empty)))))) @ (c_Inj1 @ (c_Inj1 @ (Y2 @ (^[Y4 : ($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 > $i) @ (^[Y2 : $i > $i]: (!! @ $i @ (^[Y3 : $i]: ((X1 @ (^[Y4 : $i]: ((^[Y5 : $i]: ((^[Y6 : ($i > $i) > $i > $i]: (c_Empty)))))) @ (Y2 @ c_Empty) @ Y3) => (!! @ $o @ (^[Y4 : $o]: (Y4)))))))) => (!! @ $o @ (^[Y2 : $o]: (Y2))))))))))))))) = $true)) )),
% 169.56/21.72 inference(beta_eta_normalization,[],[f319])).
% 169.56/21.72 thf(f319,plain,(
% 169.56/21.72 ( ! [X2 : ($i > (($i > $i) > $i) > $i) > $i > $o,X1 : ($i > $i > (($i > $i) > $i > $i) > $i) > $i > $i > $o] : ((((^[Y0 : ($i > (($i > $i) > $i) > $i) > $i > $o]: (!! @ (($i > $i) > (((($i > $i) > $i) > $i) > ($i > $i > $i) > $i > $i > $i) > $i > $o) @ (^[Y1 : ($i > $i) > (((($i > $i) > $i) > $i) > ($i > $i > $i) > $i > $i > $i) > $i > $o]: (!! @ (($i > ($i > $i > $i) > $i) > $i > $i > $o) @ (^[Y2 : ($i > ($i > $i > $i) > $i) > $i > $i > $o]: ((!! @ $i @ (^[Y3 : $i]: (!! @ $i @ (^[Y4 : $i]: (!! @ ((($i > $i > $i) > ($i > $i) > $i > $i) > $i) @ (^[Y5 : (($i > $i > $i) > ($i > $i) > $i > $i) > $i]: ((c_In @ (c_Repl @ Y3 @ c_Inj1) @ (c_binunion @ (c_Repl @ (c_binunion @ (c_Repl @ c_Empty @ (^[Y6 : $i]: (c_Repl @ Y6 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1)) @ (^[Y6 : $i]: (c_Repl @ Y6 @ c_Inj1))) @ (c_Repl @ (c_binunion @ (c_Repl @ Y3 @ (^[Y6 : $i]: (c_Repl @ Y6 @ c_Inj1))) @ (c_Repl @ (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)) @ c_Inj1))) => ((Y1 @ (^[Y6 : $i]: (c_Repl @ (c_Repl @ c_Empty @ c_Inj1) @ c_Inj1)) @ (^[Y6 : (($i > $i) > $i) > $i]: ((^[Y7 : $i > $i > $i]: ((^[Y8 : $i]: ((^[Y9 : $i]: (Y8)))))))) @ (c_binunion @ (c_Repl @ (Y5 @ (^[Y6 : $i > $i > $i]: ((^[Y7 : $i > $i]: ((^[Y8 : $i]: (c_Repl @ (c_binunion @ (c_Repl @ c_Empty @ (^[Y9 : $i]: (c_Repl @ Y9 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1)) @ c_Inj1))))))) @ (^[Y6 : $i]: (c_Repl @ Y6 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1))) => (Y2 @ (^[Y6 : $i]: ((^[Y7 : $i > $i > $i]: (c_Repl @ Y6 @ c_Inj1)))) @ Y4 @ (c_binunion @ (c_Repl @ (c_binunion @ (c_Repl @ (c_binunion @ (c_Repl @ c_Empty @ (^[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)) @ (^[Y6 : $i]: (c_Repl @ Y6 @ c_Inj1))) @ (c_Repl @ (c_Repl @ c_Empty @ c_Inj1) @ c_Inj1)) @ (^[Y6 : $i]: (c_Repl @ Y6 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1))))))))))) => ((!! 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@ ($i > (($i > $i) > $i > $i) > $i) @ (^[Y3 : $i > (($i > $i) > $i > $i) > $i]: (!! @ (((($i > $i) > $i > $i) > ($i > $i) > $i > $i) > ($i > $i > $i) > $i) @ (^[Y4 : ((($i > $i) > $i > $i) > ($i > $i) > $i > $i) > ($i > $i > $i) > $i]: (!! @ $i @ (^[Y5 : $i]: ((c_In @ (c_Repl @ c_Empty @ c_Inj1) @ (c_binunion @ (c_Repl @ c_Empty @ (^[Y6 : $i]: (c_Repl @ Y6 @ c_Inj1))) @ (c_Repl @ (Y3 @ (c_Repl @ (c_binunion @ (c_Repl @ c_Empty @ (^[Y6 : $i]: (c_Repl @ Y6 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1)) @ c_Inj1) @ (^[Y6 : $i > $i]: ((^[Y7 : $i]: (c_Repl @ c_Empty @ c_Inj1))))) @ c_Inj1))) => ((X1 @ (^[Y6 : $i]: ((^[Y7 : $i]: ((^[Y8 : ($i > $i) > $i > $i]: (Y6)))))) @ Y5 @ (Y4 @ (^[Y6 : ($i > $i) > $i > $i]: ((^[Y7 : $i > $i]: ((^[Y8 : $i]: (c_Inj1 @ c_Empty)))))) @ (^[Y6 : $i]: ((^[Y7 : $i]: (c_Empty)))))) => (Y1 @ (^[Y6 : $i]: (Y6)) @ (^[Y6 : (($i > $i) > $i) > $i]: ((^[Y7 : $i > $i > $i]: ((^[Y8 : $i]: ((^[Y9 : $i]: (Y8)))))))) @ (c_binunion @ (c_Repl @ (c_Repl @ c_Empty @ c_Inj1) @ (^[Y6 : $i]: (c_Repl @ Y6 @ c_Inj1))) @ (c_Repl @ (Y4 @ (^[Y6 : ($i > $i) > $i > $i]: ((^[Y7 : $i > $i]: ((^[Y8 : $i]: (c_Repl @ c_Empty @ c_Inj1)))))) @ (^[Y6 : $i]: ((^[Y7 : $i]: (Y7))))) @ c_Inj1))))))))))) => ((!! @ ($i > $i > $i) @ (^[Y3 : $i > $i > $i]: (!! @ $i @ (^[Y4 : $i]: (!! @ ($i > $i) @ (^[Y5 : $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) @ (^[Y6 : $i]: (c_Repl @ Y6 @ c_Inj1))) @ (c_Repl @ (c_binunion @ (c_Repl @ (c_binunion @ (c_Repl @ c_Empty @ (^[Y6 : $i]: (c_Repl @ Y6 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1)) @ (^[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_binunion @ (c_Repl @ c_Empty @ (^[Y6 : $i]: (c_Repl @ Y6 @ c_Inj1))) @ (c_Repl @ (c_binunion @ (c_Repl @ (c_Repl @ c_Empty @ c_Inj1) @ (^[Y6 : $i]: (c_Repl @ Y6 @ c_Inj1))) @ (c_Repl @ (Y3 @ c_Empty @ c_Empty) @ c_Inj1)) @ c_Inj1)) @ c_Inj1))) => ((Y1 @ (^[Y6 : $i]: (c_Empty)) @ (^[Y6 : (($i > $i) > $i) > $i]: ((^[Y7 : $i > $i > $i]: ((^[Y8 : $i]: ((^[Y9 : $i]: (c_Empty)))))))) @ (c_binunion @ (c_Repl @ (c_binunion @ (c_Repl @ c_Empty @ (^[Y6 : $i]: (c_Repl @ Y6 @ c_Inj1))) @ (c_Repl @ (c_binunion @ (c_Repl @ (c_binunion @ (c_Repl @ c_Empty @ (^[Y6 : $i]: (c_Repl @ Y6 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1)) @ (^[Y6 : $i]: (c_Repl @ Y6 @ c_Inj1))) @ (c_Repl @ (c_Repl @ c_Empty @ c_Inj1) @ c_Inj1)) @ c_Inj1)) @ (^[Y6 : $i]: (c_Repl @ Y6 @ c_Inj1))) @ (c_Repl @ (c_Inj1 @ Y4) @ c_Inj1))) => (Y0 @ (^[Y6 : $i]: ((^[Y7 : ($i > $i) > $i]: (c_Repl @ c_Empty @ c_Inj1)))) @ (Y3 @ c_Empty @ (Y5 @ (c_binunion @ (c_Repl @ (c_Inj1 @ c_Empty) @ (^[Y6 : $i]: (c_Repl @ Y6 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1))))))))))))) => (((Y2 @ (^[Y3 : $i]: ((^[Y4 : $i > $i > $i]: (c_Empty)))) @ c_Empty @ c_Empty) => (Y0 @ (^[Y3 : $i]: ((^[Y4 : ($i > $i) > $i]: (Y4 @ (^[Y5 : $i]: (c_binunion @ (c_Repl @ (c_Inj1 @ (c_Repl @ c_Empty @ c_Inj1)) @ (^[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_Empty)) => ((!! @ $i @ (^[Y3 : $i]: (!! @ $i @ (^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: (!! @ $i @ (^[Y6 : $i]: ((c_In @ (c_Repl @ Y5 @ c_Inj1) @ (c_binunion @ (c_Repl @ (c_binunion @ (c_Repl @ Y4 @ (^[Y7 : $i]: (c_Repl @ Y7 @ c_Inj1))) @ (c_Repl @ (c_binunion @ (c_Repl @ Y6 @ (^[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_Inj1 @ (c_binunion @ (c_Repl @ Y6 @ (^[Y7 : $i]: (c_Repl @ Y7 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1))) @ c_Inj1))) => ((Y0 @ (^[Y7 : $i]: ((^[Y8 : ($i > $i) > $i]: (Y3)))) @ c_Empty) => (Y1 @ (^[Y7 : $i]: (c_Empty)) @ (^[Y7 : (($i > $i) > $i) > $i]: ((^[Y8 : $i > $i > $i]: ((^[Y9 : $i]: ((^[Y10 : $i]: (c_binunion @ (c_Repl @ c_Empty @ (^[Y11 : $i]: (c_Repl @ Y11 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1))))))))) @ Y6))))))))))) => ((!! @ (((($i > $i) > $i > $i) > $i) > $i) @ (^[Y3 : ((($i > $i) > $i > $i) > $i) > $i]: (!! @ $i @ (^[Y4 : $i]: ((c_In @ (c_Inj1 @ c_Empty) @ Y4) => ((Y0 @ (^[Y5 : $i]: ((^[Y6 : ($i > $i) > $i]: (c_Empty)))) @ c_Empty) => (X1 @ (^[Y5 : $i]: ((^[Y6 : $i]: ((^[Y7 : ($i > $i) > $i > $i]: (c_Inj1 @ c_Empty)))))) @ (c_Inj1 @ (c_Inj1 @ (Y3 @ (^[Y5 : ($i > $i) > $i > $i]: (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_Empty @ c_Inj1)) @ (^[Y5 : $i]: (c_Repl @ Y5 @ c_Inj1))) @ (c_Repl @ (c_Inj1 @ (c_Repl @ c_Empty @ c_Inj1)) @ c_Inj1)))))))))) => ((!! @ ($i > $i) @ (^[Y3 : $i > $i]: (!! @ $i @ (^[Y4 : $i]: ((X1 @ (^[Y5 : $i]: ((^[Y6 : $i]: ((^[Y7 : ($i > $i) > $i > $i]: (c_Empty)))))) @ (Y3 @ c_Empty) @ Y4) => (!! @ $o @ (^[Y5 : $o]: (Y5)))))))) => (!! @ $o @ (^[Y3 : $o]: (Y3)))))))))))))))) @ X2) = $true)) )),
% 169.56/21.72 inference(pi_clausification,[],[f318])).
% 169.56/21.72 thf(f318,plain,(
% 169.56/21.72 ( ! [X1 : ($i > $i > (($i > $i) > $i > $i) > $i) > $i > $i > $o] : (((!! @ (($i > (($i > $i) > $i) > $i) > $i > $o) @ (^[Y0 : ($i > (($i > $i) > $i) > $i) > $i > $o]: (!! @ (($i > $i) > (((($i > $i) > $i) > $i) > ($i > $i > $i) > $i > $i > $i) > $i > $o) @ (^[Y1 : ($i > $i) > (((($i > $i) > $i) > $i) > ($i > $i > $i) > $i > $i > $i) > $i > $o]: (!! @ (($i > ($i > $i > $i) > $i) > $i > $i > $o) @ (^[Y2 : ($i > ($i > $i > $i) > $i) > $i > $i > $o]: ((!! @ $i @ (^[Y3 : $i]: (!! @ $i @ (^[Y4 : $i]: (!! @ ((($i > $i > $i) > ($i > $i) > $i > $i) > $i) @ (^[Y5 : (($i > $i > $i) > ($i > $i) > $i > $i) > $i]: ((c_In @ (c_Repl @ Y3 @ c_Inj1) @ (c_binunion @ (c_Repl @ (c_binunion @ (c_Repl @ c_Empty @ (^[Y6 : $i]: (c_Repl @ Y6 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1)) @ (^[Y6 : $i]: (c_Repl @ Y6 @ c_Inj1))) @ (c_Repl @ (c_binunion @ (c_Repl @ Y3 @ (^[Y6 : $i]: (c_Repl @ Y6 @ c_Inj1))) @ (c_Repl @ (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)) @ c_Inj1))) => ((Y1 @ (^[Y6 : $i]: (c_Repl @ (c_Repl @ c_Empty @ c_Inj1) @ c_Inj1)) @ (^[Y6 : (($i > $i) > $i) > $i]: ((^[Y7 : $i > $i > $i]: ((^[Y8 : $i]: ((^[Y9 : $i]: (Y8)))))))) @ (c_binunion @ (c_Repl @ (Y5 @ (^[Y6 : $i > $i > $i]: ((^[Y7 : $i > $i]: ((^[Y8 : $i]: (c_Repl @ (c_binunion @ (c_Repl @ c_Empty @ (^[Y9 : $i]: (c_Repl @ Y9 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1)) @ c_Inj1))))))) @ (^[Y6 : $i]: (c_Repl @ Y6 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1))) => (Y2 @ (^[Y6 : $i]: ((^[Y7 : $i > $i > $i]: (c_Repl @ Y6 @ c_Inj1)))) @ Y4 @ (c_binunion @ (c_Repl @ (c_binunion @ (c_Repl @ (c_binunion @ (c_Repl @ c_Empty @ (^[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)) @ (^[Y6 : $i]: (c_Repl @ Y6 @ c_Inj1))) @ (c_Repl @ (c_Repl @ c_Empty @ c_Inj1) @ c_Inj1)) @ (^[Y6 : $i]: (c_Repl @ Y6 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1))))))))))) => ((!! @ $i @ (^[Y3 : $i]: (!! @ (((($i > $i) > $i > $i) > $i) > $i) @ (^[Y4 : ((($i > $i) > $i > $i) > $i) > $i]: (!! @ $i @ (^[Y5 : $i]: ((Y2 @ (^[Y6 : $i]: ((^[Y7 : $i > $i > $i]: (c_Empty)))) @ Y5 @ (c_binunion @ (c_Repl @ (c_binunion @ (c_Repl @ (c_binunion @ (c_Repl @ (c_binunion @ (c_Repl @ c_Empty @ (^[Y6 : $i]: (c_Repl @ Y6 @ c_Inj1))) @ (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_binunion @ (c_Repl @ (c_binunion @ (c_Repl @ c_Empty @ (^[Y6 : $i]: (c_Repl @ Y6 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1)) @ (^[Y6 : $i]: (c_Repl @ Y6 @ c_Inj1))) @ (c_Repl @ (c_Repl @ c_Empty @ c_Inj1) @ c_Inj1)) @ c_Inj1)) @ (^[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_Inj1 @ (c_binunion @ (c_Repl @ c_Empty @ (^[Y6 : $i]: (c_Repl @ Y6 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1))) @ c_Inj1)) @ c_Inj1))) => (Y2 @ (^[Y6 : $i]: ((^[Y7 : $i > $i > $i]: (Y5)))) @ (c_binunion @ (c_Repl @ (Y4 @ (^[Y6 : ($i > $i) > $i > $i]: (Y5))) @ (^[Y6 : $i]: (c_Repl @ Y6 @ c_Inj1))) @ (c_Repl @ Y3 @ c_Inj1)) @ (c_Repl @ (c_Inj1 @ (c_binunion @ (c_Repl @ (c_binunion @ (c_Repl @ c_Empty @ (^[Y6 : $i]: (c_Repl @ Y6 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1)) @ (^[Y6 : $i]: (c_Repl @ Y6 @ c_Inj1))) @ (c_Repl @ (c_binunion @ (c_Repl @ c_Empty @ (^[Y6 : $i]: (c_Repl @ Y6 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1)) @ c_Inj1))) @ c_Inj1))))))))) => ((!! @ ($i > (($i > $i) > $i > $i) > $i) @ (^[Y3 : $i > (($i > $i) > $i > $i) > $i]: (!! @ (((($i > $i) > $i > $i) > ($i > $i) > $i > $i) > ($i > $i > $i) > $i) @ (^[Y4 : ((($i > $i) > $i > $i) > ($i > $i) > $i > $i) > ($i > $i > $i) > $i]: (!! @ $i @ (^[Y5 : $i]: ((c_In @ (c_Repl @ c_Empty @ c_Inj1) @ (c_binunion @ (c_Repl @ c_Empty @ (^[Y6 : $i]: (c_Repl @ Y6 @ c_Inj1))) @ (c_Repl @ (Y3 @ (c_Repl @ (c_binunion @ (c_Repl @ c_Empty @ (^[Y6 : $i]: (c_Repl @ Y6 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1)) @ c_Inj1) @ (^[Y6 : $i > $i]: ((^[Y7 : $i]: (c_Repl @ c_Empty @ c_Inj1))))) @ c_Inj1))) => ((X1 @ (^[Y6 : $i]: ((^[Y7 : $i]: ((^[Y8 : ($i > $i) > $i > $i]: (Y6)))))) @ Y5 @ (Y4 @ (^[Y6 : ($i > $i) > $i > $i]: ((^[Y7 : $i > $i]: ((^[Y8 : $i]: (c_Inj1 @ c_Empty)))))) @ (^[Y6 : $i]: ((^[Y7 : $i]: (c_Empty)))))) => (Y1 @ (^[Y6 : $i]: (Y6)) @ (^[Y6 : (($i > $i) > $i) > $i]: ((^[Y7 : $i > $i > $i]: ((^[Y8 : $i]: ((^[Y9 : $i]: (Y8)))))))) @ (c_binunion @ (c_Repl @ (c_Repl @ c_Empty @ c_Inj1) @ (^[Y6 : $i]: (c_Repl @ Y6 @ c_Inj1))) @ (c_Repl @ (Y4 @ (^[Y6 : ($i > $i) > $i > $i]: ((^[Y7 : $i > $i]: ((^[Y8 : $i]: (c_Repl @ c_Empty @ c_Inj1)))))) @ (^[Y6 : $i]: ((^[Y7 : $i]: (Y7))))) @ c_Inj1))))))))))) => ((!! @ ($i > $i > $i) @ (^[Y3 : $i > $i > $i]: (!! @ $i @ (^[Y4 : $i]: (!! @ ($i > $i) @ (^[Y5 : $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) @ (^[Y6 : $i]: (c_Repl @ Y6 @ c_Inj1))) @ (c_Repl @ (c_binunion @ (c_Repl @ (c_binunion @ (c_Repl @ c_Empty @ (^[Y6 : $i]: (c_Repl @ Y6 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1)) @ (^[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_binunion @ (c_Repl @ c_Empty @ (^[Y6 : $i]: (c_Repl @ Y6 @ c_Inj1))) @ (c_Repl @ (c_binunion @ (c_Repl @ (c_Repl @ c_Empty @ c_Inj1) @ (^[Y6 : $i]: (c_Repl @ Y6 @ c_Inj1))) @ (c_Repl @ (Y3 @ c_Empty @ c_Empty) @ c_Inj1)) @ c_Inj1)) @ c_Inj1))) => ((Y1 @ (^[Y6 : $i]: (c_Empty)) @ (^[Y6 : (($i > $i) > $i) > $i]: ((^[Y7 : $i > $i > $i]: ((^[Y8 : $i]: ((^[Y9 : $i]: (c_Empty)))))))) @ (c_binunion @ (c_Repl @ (c_binunion @ (c_Repl @ c_Empty @ (^[Y6 : $i]: (c_Repl @ Y6 @ c_Inj1))) @ (c_Repl @ (c_binunion @ (c_Repl @ (c_binunion @ (c_Repl @ c_Empty @ (^[Y6 : $i]: (c_Repl @ Y6 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1)) @ (^[Y6 : $i]: (c_Repl @ Y6 @ c_Inj1))) @ (c_Repl @ (c_Repl @ c_Empty @ c_Inj1) @ c_Inj1)) @ c_Inj1)) @ (^[Y6 : $i]: (c_Repl @ Y6 @ c_Inj1))) @ (c_Repl @ (c_Inj1 @ Y4) @ c_Inj1))) => (Y0 @ (^[Y6 : $i]: ((^[Y7 : ($i > $i) > $i]: (c_Repl @ c_Empty @ c_Inj1)))) @ (Y3 @ c_Empty @ (Y5 @ (c_binunion @ (c_Repl @ (c_Inj1 @ c_Empty) @ (^[Y6 : $i]: (c_Repl @ Y6 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1))))))))))))) => (((Y2 @ (^[Y3 : $i]: ((^[Y4 : $i > $i > $i]: (c_Empty)))) @ c_Empty @ c_Empty) => (Y0 @ (^[Y3 : $i]: ((^[Y4 : ($i > $i) > $i]: (Y4 @ (^[Y5 : $i]: (c_binunion @ (c_Repl @ (c_Inj1 @ (c_Repl @ c_Empty @ c_Inj1)) @ (^[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_Empty)) => ((!! @ $i @ (^[Y3 : $i]: (!! @ $i @ (^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: (!! @ $i @ (^[Y6 : $i]: ((c_In @ (c_Repl @ Y5 @ c_Inj1) @ (c_binunion @ (c_Repl @ (c_binunion @ (c_Repl @ Y4 @ (^[Y7 : $i]: (c_Repl @ Y7 @ c_Inj1))) @ (c_Repl @ (c_binunion @ (c_Repl @ Y6 @ (^[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_Inj1 @ (c_binunion @ (c_Repl @ Y6 @ (^[Y7 : $i]: (c_Repl @ Y7 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1))) @ c_Inj1))) => ((Y0 @ (^[Y7 : $i]: ((^[Y8 : ($i > $i) > $i]: (Y3)))) @ c_Empty) => (Y1 @ (^[Y7 : $i]: (c_Empty)) @ (^[Y7 : (($i > $i) > $i) > $i]: ((^[Y8 : $i > $i > $i]: ((^[Y9 : $i]: ((^[Y10 : $i]: (c_binunion @ (c_Repl @ c_Empty @ (^[Y11 : $i]: (c_Repl @ Y11 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1))))))))) @ Y6))))))))))) => ((!! @ (((($i > $i) > $i > $i) > $i) > $i) @ (^[Y3 : ((($i > $i) > $i > $i) > $i) > $i]: (!! @ $i @ (^[Y4 : $i]: ((c_In @ (c_Inj1 @ c_Empty) @ Y4) => ((Y0 @ (^[Y5 : $i]: ((^[Y6 : ($i > $i) > $i]: (c_Empty)))) @ c_Empty) => (X1 @ (^[Y5 : $i]: ((^[Y6 : $i]: ((^[Y7 : ($i > $i) > $i > $i]: (c_Inj1 @ c_Empty)))))) @ (c_Inj1 @ (c_Inj1 @ (Y3 @ (^[Y5 : ($i > $i) > $i > $i]: (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_Empty @ c_Inj1)) @ (^[Y5 : $i]: (c_Repl @ Y5 @ c_Inj1))) @ (c_Repl @ (c_Inj1 @ (c_Repl @ c_Empty @ c_Inj1)) @ c_Inj1)))))))))) => ((!! @ ($i > $i) @ (^[Y3 : $i > $i]: (!! @ $i @ (^[Y4 : $i]: ((X1 @ (^[Y5 : $i]: ((^[Y6 : $i]: ((^[Y7 : ($i > $i) > $i > $i]: (c_Empty)))))) @ (Y3 @ c_Empty) @ Y4) => (!! @ $o @ (^[Y5 : $o]: (Y5)))))))) => (!! @ $o @ (^[Y3 : $o]: (Y3))))))))))))))))) = $true)) )),
% 169.56/21.72 inference(beta_eta_normalization,[],[f317])).
% 169.56/21.72 thf(f317,plain,(
% 169.56/21.72 ( ! 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@ $i @ (^[Y4 : $i]: (!! @ (((($i > $i) > $i > $i) > $i) > $i) @ (^[Y5 : ((($i > $i) > $i > $i) > $i) > $i]: (!! @ $i @ (^[Y6 : $i]: ((Y3 @ (^[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))) => (Y3 @ (^[Y7 : $i]: ((^[Y8 : $i > $i > $i]: (Y6)))) @ (c_binunion @ (c_Repl @ (Y5 @ (^[Y7 : ($i > $i) > $i > $i]: (Y6))) @ (^[Y7 : $i]: (c_Repl @ Y7 @ c_Inj1))) @ (c_Repl @ Y4 @ 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 : $i]: (c_Repl @ Y7 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1)) @ c_Inj1))) @ c_Inj1))))))))) => ((!! 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@ ($i > $i > $i) @ (^[Y4 : $i > $i > $i]: (!! @ $i @ (^[Y5 : $i]: (!! @ ($i > $i) @ (^[Y6 : $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 @ (Y4 @ 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)))) @ (Y4 @ c_Empty @ (Y6 @ (c_binunion @ (c_Repl @ (c_Inj1 @ c_Empty) @ (^[Y7 : $i]: (c_Repl @ Y7 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1))))))))))))) => (((Y3 @ (^[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)) => ((!! 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@ $i @ (^[Y5 : $i]: ((c_In @ (c_Inj1 @ c_Empty) @ Y5) => ((Y1 @ (^[Y6 : $i]: ((^[Y7 : ($i > $i) > $i]: (c_Empty)))) @ c_Empty) => (Y0 @ (^[Y6 : $i]: ((^[Y7 : $i]: ((^[Y8 : ($i > $i) > $i > $i]: (c_Inj1 @ c_Empty)))))) @ (c_Inj1 @ (c_Inj1 @ (Y4 @ (^[Y6 : ($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 > $i) @ (^[Y4 : $i > $i]: (!! @ $i @ (^[Y5 : $i]: ((Y0 @ (^[Y6 : $i]: ((^[Y7 : $i]: ((^[Y8 : ($i > $i) > $i > $i]: (c_Empty)))))) @ (Y4 @ c_Empty) @ Y5) => (!! @ $o @ (^[Y6 : $o]: (Y6)))))))) => (!! @ $o @ (^[Y4 : $o]: (Y4)))))))))))))))))) @ X1) = $true)) )),
% 169.56/21.72 inference(pi_clausification,[],[f309])).
% 169.56/21.72 thf(f309,plain,(
% 169.56/21.72 ((!! @ (($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 > $o) @ (^[Y1 : ($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 > $o) @ (^[Y3 : ($i > ($i > $i > $i) > $i) > $i > $i > $o]: ((!! @ $i @ (^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: (!! @ ((($i > $i > $i) > ($i > $i) > $i > $i) > $i) @ (^[Y6 : (($i > $i > $i) > ($i > $i) > $i > $i) > $i]: ((c_In @ (c_Repl @ Y4 @ 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 @ Y4 @ (^[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 @ (Y6 @ (^[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))) => (Y3 @ (^[Y7 : $i]: ((^[Y8 : $i > $i > $i]: (c_Repl @ Y7 @ c_Inj1)))) @ Y5 @ (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 @ (^[Y4 : $i]: (!! @ (((($i > $i) > $i > $i) > $i) > $i) @ (^[Y5 : ((($i > $i) > $i > $i) > $i) > $i]: (!! @ $i @ (^[Y6 : $i]: ((Y3 @ (^[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))) => (Y3 @ (^[Y7 : $i]: ((^[Y8 : $i > $i > $i]: (Y6)))) @ (c_binunion @ (c_Repl @ (Y5 @ (^[Y7 : ($i > $i) > $i > $i]: (Y6))) @ (^[Y7 : $i]: (c_Repl @ Y7 @ c_Inj1))) @ (c_Repl @ Y4 @ 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))) => ((Y0 @ (^[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 > $i) @ (^[Y4 : $i > $i > $i]: (!! @ $i @ (^[Y5 : $i]: (!! @ ($i > $i) @ (^[Y6 : $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 @ (Y4 @ 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)))) @ (Y4 @ c_Empty @ (Y6 @ (c_binunion @ (c_Repl @ (c_Inj1 @ c_Empty) @ (^[Y7 : $i]: (c_Repl @ Y7 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1))))))))))))) => (((Y3 @ (^[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 @ Y6 @ c_Inj1) @ (c_binunion @ (c_Repl @ (c_binunion @ (c_Repl @ Y5 @ (^[Y8 : $i]: (c_Repl @ Y8 @ c_Inj1))) @ (c_Repl @ (c_binunion @ (c_Repl @ Y7 @ (^[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 @ Y7 @ (^[Y8 : $i]: (c_Repl @ Y8 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1))) @ c_Inj1))) => ((Y1 @ (^[Y8 : $i]: ((^[Y9 : ($i > $i) > $i]: (Y4)))) @ 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 : $i]: (c_Repl @ Y12 @ c_Inj1))) @ (c_Repl @ c_Empty @ c_Inj1))))))))) @ Y7))))))))))) => ((!! @ (((($i > $i) > $i > $i) > $i) > $i) @ (^[Y4 : ((($i > $i) > $i > $i) > $i) > $i]: (!! @ $i @ (^[Y5 : $i]: ((c_In @ (c_Inj1 @ c_Empty) @ Y5) => ((Y1 @ (^[Y6 : $i]: ((^[Y7 : ($i > $i) > $i]: (c_Empty)))) @ c_Empty) => (Y0 @ (^[Y6 : $i]: ((^[Y7 : $i]: ((^[Y8 : ($i > $i) > $i > $i]: (c_Inj1 @ c_Empty)))))) @ (c_Inj1 @ (c_Inj1 @ (Y4 @ (^[Y6 : ($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 > $i) @ (^[Y4 : $i > $i]: (!! @ $i @ (^[Y5 : $i]: ((Y0 @ (^[Y6 : $i]: ((^[Y7 : $i]: ((^[Y8 : ($i > $i) > $i > $i]: (c_Empty)))))) @ (Y4 @ c_Empty) @ Y5) => (!! @ $o @ (^[Y6 : $o]: (Y6)))))))) => (!! @ $o @ (^[Y4 : $o]: (Y4))))))))))))))))))) = $true)),
% 169.56/21.72 inference(binary_proxy_clausification,[],[f307])).
% 169.56/21.72 % SZS output end Proof for theBenchmark
% 169.56/21.72 % (31555)------------------------------
% 169.56/21.72 % (31555)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 169.56/21.72 % (31555)Termination reason: Refutation
% 169.56/21.72
% 169.56/21.72 % (31555)Memory used [KB]: 12281
% 169.56/21.72 % (31555)Time elapsed: 3.130 s
% 169.56/21.72 % (31555)Instructions burned: 8063 (million)
% 169.56/21.72 % (31555)------------------------------
% 169.56/21.72 % (31555)------------------------------
% 169.56/21.72 % (31258)Success in time 21.361 s
% 169.56/21.72 % Vampire---4.8 exiting
%------------------------------------------------------------------------------