TSTP Solution File: SYO873^1 by Vampire---4.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SYO873^1 : 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 : n019.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue May 21 09:09:13 EDT 2024
% Result : Theorem 7.38s 1.44s
% Output : Refutation 7.38s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SYO873^1 : TPTP v8.2.0. Released v7.5.0.
% 0.13/0.14 % 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
% 0.13/0.36 % Computer : n019.cluster.edu
% 0.13/0.36 % Model : x86_64 x86_64
% 0.13/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.36 % Memory : 8042.1875MB
% 0.13/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.36 % CPULimit : 300
% 0.13/0.36 % WCLimit : 300
% 0.13/0.36 % DateTime : Mon May 20 09:55:23 EDT 2024
% 0.13/0.36 % CPUTime :
% 0.13/0.36 This is a TH0_THM_EQU_NAR problem
% 0.13/0.36 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
% 0.13/0.38 % (23369)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on theBenchmark for (2999ds/183Mi)
% 0.13/0.39 % (23370)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)
% 0.13/0.39 % (23371)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)
% 0.13/0.39 % (23373)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)
% 0.13/0.39 % (23372)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.13/0.39 % (23374)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)
% 0.13/0.39 % (23375)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on theBenchmark for (2999ds/18Mi)
% 0.13/0.39 % (23376)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)
% 0.13/0.39 % (23372)Instruction limit reached!
% 0.13/0.39 % (23372)------------------------------
% 0.13/0.39 % (23372)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.13/0.39 % (23372)Termination reason: Unknown
% 0.13/0.39 % (23373)Instruction limit reached!
% 0.13/0.39 % (23373)------------------------------
% 0.13/0.39 % (23373)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.13/0.39 % (23373)Termination reason: Unknown
% 0.13/0.39 % (23373)Termination phase: shuffling
% 0.13/0.39
% 0.13/0.39 % (23373)Memory used [KB]: 1279
% 0.13/0.39 % (23373)Time elapsed: 0.004 s
% 0.13/0.39 % (23373)Instructions burned: 3 (million)
% 0.13/0.39 % (23373)------------------------------
% 0.13/0.39 % (23373)------------------------------
% 0.13/0.39 % (23372)Termination phase: shuffling
% 0.13/0.39
% 0.13/0.39 % (23372)Memory used [KB]: 1151
% 0.13/0.39 % (23372)Time elapsed: 0.003 s
% 0.13/0.39 % (23372)Instructions burned: 3 (million)
% 0.13/0.39 % (23372)------------------------------
% 0.13/0.39 % (23372)------------------------------
% 0.13/0.39 % (23376)Instruction limit reached!
% 0.13/0.39 % (23376)------------------------------
% 0.13/0.39 % (23376)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.13/0.39 % (23376)Termination reason: Unknown
% 0.13/0.39 % (23376)Termination phase: shuffling
% 0.13/0.39
% 0.13/0.39 % (23376)Memory used [KB]: 1279
% 0.13/0.39 % (23376)Time elapsed: 0.003 s
% 0.13/0.39 % (23376)Instructions burned: 3 (million)
% 0.13/0.39 % (23376)------------------------------
% 0.13/0.39 % (23376)------------------------------
% 0.13/0.39 % (23370)Instruction limit reached!
% 0.13/0.39 % (23370)------------------------------
% 0.13/0.39 % (23370)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.13/0.39 % (23370)Termination reason: Unknown
% 0.13/0.39 % (23370)Termination phase: shuffling
% 0.13/0.39
% 0.13/0.39 % (23370)Memory used [KB]: 1279
% 0.13/0.39 % (23370)Time elapsed: 0.005 s
% 0.13/0.39 % (23370)Instructions burned: 5 (million)
% 0.13/0.39 % (23370)------------------------------
% 0.13/0.39 % (23370)------------------------------
% 0.13/0.40 % (23375)Instruction limit reached!
% 0.13/0.40 % (23375)------------------------------
% 0.13/0.40 % (23375)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.13/0.40 % (23375)Termination reason: Unknown
% 0.13/0.40 % (23375)Termination phase: Property scanning
% 0.13/0.40
% 0.13/0.40 % (23375)Memory used [KB]: 1535
% 0.13/0.40 % (23375)Time elapsed: 0.012 s
% 0.13/0.40 % (23375)Instructions burned: 18 (million)
% 0.13/0.40 % (23375)------------------------------
% 0.13/0.40 % (23375)------------------------------
% 0.13/0.40 % (23371)Instruction limit reached!
% 0.13/0.40 % (23371)------------------------------
% 0.13/0.40 % (23371)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.13/0.40 % (23371)Termination reason: Unknown
% 0.13/0.40 % (23371)Termination phase: Unused predicate definition removal
% 0.13/0.40
% 0.13/0.40 % (23371)Memory used [KB]: 1535
% 0.13/0.40 % (23371)Time elapsed: 0.015 s
% 0.13/0.40 % (23371)Instructions burned: 27 (million)
% 0.13/0.40 % (23371)------------------------------
% 0.13/0.40 % (23371)------------------------------
% 0.13/0.40 % (23377)lrs+1002_1:1_cnfonf=lazy_not_be_gen:hud=14:prag=on:sp=weighted_frequency:tnu=1:i=37:si=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.13/0.40 % (23378)lrs+2_16:1_acc=model:au=on:bd=off:c=on:e2e=on:nm=2:sos=all:i=15:si=on:rtra=on_0 on theBenchmark for (2999ds/15Mi)
% 0.13/0.40 % (23379)dis+21_1:1_cbe=off:cnfonf=off:fs=off:fsr=off:hud=1:inj=on:i=3:si=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.13/0.41 % (23380)lrs+1002_1:1_aac=none:au=on:cnfonf=lazy_gen:plsq=on:plsqc=1:plsqr=4203469,65536:i=1041:si=on:rtra=on_0 on theBenchmark for (2999ds/1041Mi)
% 0.13/0.41 % (23379)Instruction limit reached!
% 0.13/0.41 % (23379)------------------------------
% 0.13/0.41 % (23379)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.13/0.41 % (23379)Termination reason: Unknown
% 0.13/0.41 % (23379)Termination phase: shuffling
% 0.13/0.41
% 0.13/0.41 % (23379)Memory used [KB]: 1279
% 0.13/0.41 % (23379)Time elapsed: 0.004 s
% 0.13/0.41 % (23379)Instructions burned: 4 (million)
% 0.13/0.41 % (23379)------------------------------
% 0.13/0.41 % (23379)------------------------------
% 0.13/0.41 % (23374)Refutation not found, incomplete strategy
% 0.13/0.41 % (23374)------------------------------
% 0.13/0.41 % (23374)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.13/0.41 % (23374)Termination reason: Refutation not found, incomplete strategy
% 0.13/0.41
% 0.13/0.41
% 0.13/0.41 % (23374)Memory used [KB]: 6140
% 0.13/0.41 % (23374)Time elapsed: 0.023 s
% 0.13/0.41 % (23374)Instructions burned: 41 (million)
% 0.13/0.41 % (23374)------------------------------
% 0.13/0.41 % (23374)------------------------------
% 0.13/0.41 % (23378)Instruction limit reached!
% 0.13/0.41 % (23378)------------------------------
% 0.13/0.41 % (23378)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.13/0.41 % (23378)Termination reason: Unknown
% 0.13/0.41 % (23378)Termination phase: shuffling
% 0.13/0.41
% 0.13/0.41 % (23378)Memory used [KB]: 1535
% 0.13/0.41 % (23378)Time elapsed: 0.010 s
% 0.13/0.41 % (23378)Instructions burned: 15 (million)
% 0.13/0.41 % (23378)------------------------------
% 0.13/0.41 % (23378)------------------------------
% 0.13/0.41 % (23381)lrs+10_1:1_av=off:chr=on:plsq=on:slsq=on:i=7:si=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.13/0.42 % (23382)lrs+10_1:1_acc=on:amm=sco:cs=on:tgt=full:i=16:si=on:rtra=on_0 on theBenchmark for (2999ds/16Mi)
% 0.13/0.42 % (23381)Instruction limit reached!
% 0.13/0.42 % (23381)------------------------------
% 0.13/0.42 % (23381)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.13/0.42 % (23381)Termination reason: Unknown
% 0.13/0.42 % (23381)Termination phase: shuffling
% 0.13/0.42
% 0.13/0.42 % (23381)Memory used [KB]: 1279
% 0.13/0.42 % (23381)Time elapsed: 0.006 s
% 0.13/0.42 % (23381)Instructions burned: 7 (million)
% 0.13/0.42 % (23381)------------------------------
% 0.13/0.42 % (23381)------------------------------
% 0.13/0.42 % (23383)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)
% 0.13/0.42 % (23377)Instruction limit reached!
% 0.13/0.42 % (23377)------------------------------
% 0.13/0.42 % (23377)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.13/0.42 % (23377)Termination reason: Unknown
% 0.13/0.42 % (23377)Termination phase: Function definition elimination
% 0.13/0.42
% 0.13/0.42 % (23377)Memory used [KB]: 1535
% 0.13/0.42 % (23377)Time elapsed: 0.020 s
% 0.13/0.42 % (23377)Instructions burned: 37 (million)
% 0.13/0.42 % (23377)------------------------------
% 0.13/0.42 % (23377)------------------------------
% 0.13/0.42 % (23383)Instruction limit reached!
% 0.13/0.42 % (23383)------------------------------
% 0.13/0.42 % (23383)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.13/0.42 % (23383)Termination reason: Unknown
% 0.13/0.42 % (23383)Termination phase: shuffling
% 0.13/0.42
% 0.13/0.42 % (23383)Memory used [KB]: 1279
% 0.13/0.42 % (23383)Time elapsed: 0.004 s
% 0.13/0.42 % (23383)Instructions burned: 4 (million)
% 0.13/0.42 % (23383)------------------------------
% 0.13/0.42 % (23383)------------------------------
% 0.13/0.42 % (23382)Instruction limit reached!
% 0.13/0.42 % (23382)------------------------------
% 0.13/0.42 % (23382)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.13/0.42 % (23382)Termination reason: Unknown
% 0.13/0.42 % (23369)Instruction limit reached!
% 0.13/0.42 % (23369)------------------------------
% 0.13/0.42 % (23369)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.13/0.42 % (23385)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)
% 0.13/0.42 % (23369)Termination reason: Unknown
% 0.13/0.42 % (23369)Termination phase: Saturation
% 0.13/0.42
% 0.13/0.42 % (23369)Memory used [KB]: 6780
% 0.13/0.42 % (23369)Time elapsed: 0.045 s
% 0.13/0.42 % (23369)Instructions burned: 184 (million)
% 0.13/0.42 % (23369)------------------------------
% 0.13/0.42 % (23369)------------------------------
% 0.13/0.42 % (23382)Termination phase: shuffling
% 0.13/0.42
% 0.13/0.43 % (23382)Memory used [KB]: 1535
% 0.13/0.43 % (23382)Time elapsed: 0.011 s
% 0.13/0.43 % (23382)Instructions burned: 17 (million)
% 0.13/0.43 % (23382)------------------------------
% 0.13/0.43 % (23382)------------------------------
% 0.13/0.43 % (23385)Instruction limit reached!
% 0.13/0.43 % (23385)------------------------------
% 0.13/0.43 % (23385)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.13/0.43 % (23385)Termination reason: Unknown
% 0.13/0.43 % (23385)Termination phase: shuffling
% 0.13/0.43
% 0.13/0.43 % (23385)Memory used [KB]: 1279
% 0.13/0.43 % (23385)Time elapsed: 0.004 s
% 0.13/0.43 % (23385)Instructions burned: 4 (million)
% 0.13/0.43 % (23385)------------------------------
% 0.13/0.43 % (23385)------------------------------
% 0.13/0.43 % (23386)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)
% 0.13/0.43 % (23386)Instruction limit reached!
% 0.13/0.43 % (23386)------------------------------
% 0.13/0.43 % (23386)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.13/0.43 % (23386)Termination reason: Unknown
% 0.13/0.43 % (23386)Termination phase: shuffling
% 0.13/0.43
% 0.13/0.43 % (23386)Memory used [KB]: 1279
% 0.13/0.43 % (23386)Time elapsed: 0.006 s
% 0.13/0.43 % (23386)Instructions burned: 8 (million)
% 0.13/0.43 % (23386)------------------------------
% 0.13/0.43 % (23386)------------------------------
% 0.13/0.43 % (23387)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)
% 0.20/0.43 % (23387)Instruction limit reached!
% 0.20/0.43 % (23387)------------------------------
% 0.20/0.43 % (23387)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.43 % (23387)Termination reason: Unknown
% 0.20/0.43 % (23387)Termination phase: shuffling
% 0.20/0.43
% 0.20/0.43 % (23387)Memory used [KB]: 1279
% 0.20/0.43 % (23387)Time elapsed: 0.004 s
% 0.20/0.43 % (23387)Instructions burned: 4 (million)
% 0.20/0.43 % (23387)------------------------------
% 0.20/0.43 % (23387)------------------------------
% 0.20/0.43 % (23390)lrs+10_1:1_e2e=on:sd=1:sgt=8:ss=axioms:i=710:si=on:rtra=on_0 on theBenchmark for (2999ds/710Mi)
% 0.20/0.44 % (23389)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)
% 0.20/0.44 % (23388)dis+1004_1:1_cha=on:cs=on:fe=off:hud=1:i=4:si=on:rtra=on_0 on theBenchmark for (2999ds/4Mi)
% 0.20/0.44 % (23392)lrs+1004_1:1_chr=on:prag=on:i=6:si=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 0.20/0.44 % (23388)Instruction limit reached!
% 0.20/0.44 % (23388)------------------------------
% 0.20/0.44 % (23388)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.44 % (23388)Termination reason: Unknown
% 0.20/0.44 % (23388)Termination phase: shuffling
% 0.20/0.44
% 0.20/0.44 % (23388)Memory used [KB]: 1279
% 0.20/0.44 % (23388)Time elapsed: 0.004 s
% 0.20/0.44 % (23388)Instructions burned: 4 (million)
% 0.20/0.44 % (23388)------------------------------
% 0.20/0.44 % (23388)------------------------------
% 0.20/0.44 % (23393)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 % (23392)Instruction limit reached!
% 0.20/0.44 % (23392)------------------------------
% 0.20/0.44 % (23392)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.44 % (23392)Termination reason: Unknown
% 0.20/0.44 % (23392)Termination phase: shuffling
% 0.20/0.44
% 0.20/0.44 % (23392)Memory used [KB]: 1279
% 0.20/0.44 % (23392)Time elapsed: 0.005 s
% 0.20/0.44 % (23392)Instructions burned: 6 (million)
% 0.20/0.44 % (23392)------------------------------
% 0.20/0.44 % (23392)------------------------------
% 0.20/0.45 % (23394)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 % (23396)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 % (23389)Instruction limit reached!
% 0.20/0.45 % (23389)------------------------------
% 0.20/0.45 % (23389)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.45 % (23389)Termination reason: Unknown
% 0.20/0.45 % (23389)Termination phase: Property scanning
% 0.20/0.45
% 0.20/0.45 % (23389)Memory used [KB]: 1535
% 0.20/0.45 % (23389)Time elapsed: 0.012 s
% 0.20/0.45 % (23389)Instructions burned: 18 (million)
% 0.20/0.45 % (23389)------------------------------
% 0.20/0.45 % (23389)------------------------------
% 0.20/0.45 % (23396)Instruction limit reached!
% 0.20/0.45 % (23396)------------------------------
% 0.20/0.45 % (23396)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.45 % (23396)Termination reason: Unknown
% 0.20/0.45 % (23396)Termination phase: shuffling
% 0.20/0.45
% 0.20/0.45 % (23396)Memory used [KB]: 1279
% 0.20/0.45 % (23396)Time elapsed: 0.005 s
% 0.20/0.45 % (23396)Instructions burned: 6 (million)
% 0.20/0.45 % (23396)------------------------------
% 0.20/0.45 % (23396)------------------------------
% 0.20/0.46 % (23400)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 % (23394)Instruction limit reached!
% 0.20/0.46 % (23394)------------------------------
% 0.20/0.46 % (23394)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.46 % (23394)Termination reason: Unknown
% 0.20/0.46 % (23394)Termination phase: Property scanning
% 0.20/0.46
% 0.20/0.46 % (23394)Memory used [KB]: 1535
% 0.20/0.46 % (23394)Time elapsed: 0.013 s
% 0.20/0.46 % (23394)Instructions burned: 21 (million)
% 0.20/0.46 % (23394)------------------------------
% 0.20/0.46 % (23394)------------------------------
% 0.20/0.46 % (23400)Instruction limit reached!
% 0.20/0.46 % (23400)------------------------------
% 0.20/0.46 % (23400)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.46 % (23400)Termination reason: Unknown
% 0.20/0.46 % (23400)Termination phase: shuffling
% 0.20/0.46
% 0.20/0.46 % (23400)Memory used [KB]: 1279
% 0.20/0.46 % (23400)Time elapsed: 0.005 s
% 0.20/0.46 % (23400)Instructions burned: 6 (million)
% 0.20/0.46 % (23400)------------------------------
% 0.20/0.46 % (23400)------------------------------
% 0.20/0.46 % (23402)lrs+1002_1:128_au=on:c=on:fsr=off:piset=equals:i=377:si=on:rtra=on_0 on theBenchmark for (2999ds/377Mi)
% 0.20/0.46 % (23404)dis+1010_1:4_atotf=0.2:c=on:cbe=off:cnfonf=lazy_simp:fe=off:ins=2:ntd=on:s2a=on:s2at=5.0:sgt=5:ss=axioms:st=1.5:i=779:si=on:rtra=on_0 on theBenchmark for (2999ds/779Mi)
% 0.20/0.47 % (23405)lrs+10_1:1_cnfonf=lazy_not_be_gen:ntd=on:sp=const_min:ss=axioms:sup=off:i=19:si=on:rtra=on_0 on theBenchmark for (2999ds/19Mi)
% 0.20/0.47 % (23407)lrs+1010_1:1_au=on:s2a=on:sd=1:sgt=50:ss=axioms:i=879:si=on:rtra=on_0 on theBenchmark for (2999ds/879Mi)
% 0.20/0.47 % (23408)dis+1002_1:128_acc=on:er=filter:i=17:si=on:rtra=on_0 on theBenchmark for (2999ds/17Mi)
% 0.20/0.47 % (23393)Refutation not found, incomplete strategy
% 0.20/0.47 % (23393)------------------------------
% 0.20/0.47 % (23393)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.47 % (23393)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.47
% 0.20/0.47
% 0.20/0.47 % (23393)Memory used [KB]: 6140
% 0.20/0.47 % (23393)Time elapsed: 0.034 s
% 0.20/0.47 % (23393)Instructions burned: 58 (million)
% 0.20/0.47 % (23393)------------------------------
% 0.20/0.47 % (23393)------------------------------
% 0.20/0.48 % (23405)Instruction limit reached!
% 0.20/0.48 % (23405)------------------------------
% 0.20/0.48 % (23405)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.48 % (23405)Termination reason: Unknown
% 0.20/0.48 % (23405)Termination phase: Property scanning
% 0.20/0.48
% 0.20/0.48 % (23405)Memory used [KB]: 1535
% 0.20/0.48 % (23405)Time elapsed: 0.012 s
% 0.20/0.48 % (23405)Instructions burned: 19 (million)
% 0.20/0.48 % (23405)------------------------------
% 0.20/0.48 % (23405)------------------------------
% 0.20/0.48 % (23408)Instruction limit reached!
% 0.20/0.48 % (23408)------------------------------
% 0.20/0.48 % (23408)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.48 % (23408)Termination reason: Unknown
% 0.20/0.48 % (23408)Termination phase: Property scanning
% 0.20/0.48
% 0.20/0.48 % (23408)Memory used [KB]: 1535
% 0.20/0.48 % (23408)Time elapsed: 0.012 s
% 0.20/0.48 % (23408)Instructions burned: 18 (million)
% 0.20/0.48 % (23408)------------------------------
% 0.20/0.48 % (23408)------------------------------
% 0.20/0.49 % (23415)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 % (23413)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 % (23413)Instruction limit reached!
% 0.20/0.49 % (23413)------------------------------
% 0.20/0.49 % (23413)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.49 % (23413)Termination reason: Unknown
% 0.20/0.49 % (23413)Termination phase: shuffling
% 0.20/0.49
% 0.20/0.49 % (23413)Memory used [KB]: 1279
% 0.20/0.49 % (23413)Time elapsed: 0.003 s
% 0.20/0.49 % (23413)Instructions burned: 3 (million)
% 0.20/0.49 % (23413)------------------------------
% 0.20/0.49 % (23413)------------------------------
% 0.20/0.50 % (23421)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 % (23415)Instruction limit reached!
% 0.20/0.50 % (23415)------------------------------
% 0.20/0.50 % (23415)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.50 % (23415)Termination reason: Unknown
% 0.20/0.50 % (23415)Termination phase: Property scanning
% 0.20/0.50
% 0.20/0.50 % (23415)Memory used [KB]: 1535
% 0.20/0.50 % (23415)Time elapsed: 0.015 s
% 0.20/0.50 % (23415)Instructions burned: 33 (million)
% 0.20/0.50 % (23415)------------------------------
% 0.20/0.50 % (23415)------------------------------
% 0.20/0.50 % (23429)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 % (23433)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 % (23433)Instruction limit reached!
% 0.20/0.51 % (23433)------------------------------
% 0.20/0.51 % (23433)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.51 % (23433)Termination reason: Unknown
% 0.20/0.51 % (23433)Termination phase: shuffling
% 0.20/0.51
% 0.20/0.51 % (23433)Memory used [KB]: 1279
% 0.20/0.51 % (23433)Time elapsed: 0.004 s
% 0.20/0.51 % (23433)Instructions burned: 6 (million)
% 0.20/0.51 % (23433)------------------------------
% 0.20/0.51 % (23433)------------------------------
% 0.20/0.52 % (23444)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)
% 0.20/0.53 % (23444)Instruction limit reached!
% 0.20/0.53 % (23444)------------------------------
% 0.20/0.53 % (23444)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.53 % (23444)Termination reason: Unknown
% 0.20/0.53 % (23444)Termination phase: Property scanning
% 0.20/0.53
% 0.20/0.53 % (23444)Memory used [KB]: 1535
% 0.20/0.53 % (23444)Time elapsed: 0.008 s
% 0.20/0.53 % (23444)Instructions burned: 22 (million)
% 0.20/0.53 % (23444)------------------------------
% 0.20/0.53 % (23444)------------------------------
% 0.20/0.53 % (23429)Instruction limit reached!
% 0.20/0.53 % (23429)------------------------------
% 0.20/0.53 % (23429)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.53 % (23429)Termination reason: Unknown
% 0.20/0.53 % (23429)Termination phase: Saturation
% 0.20/0.53
% 0.20/0.53 % (23429)Memory used [KB]: 6268
% 0.20/0.53 % (23429)Time elapsed: 0.029 s
% 0.20/0.53 % (23429)Instructions burned: 103 (million)
% 0.20/0.53 % (23429)------------------------------
% 0.20/0.53 % (23429)------------------------------
% 0.20/0.53 % (23421)Instruction limit reached!
% 0.20/0.53 % (23421)------------------------------
% 0.20/0.53 % (23421)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.53 % (23421)Termination reason: Unknown
% 0.20/0.53 % (23421)Termination phase: Saturation
% 0.20/0.53
% 0.20/0.53 % (23421)Memory used [KB]: 6396
% 0.20/0.53 % (23421)Time elapsed: 0.036 s
% 0.20/0.53 % (23421)Instructions burned: 127 (million)
% 0.20/0.53 % (23421)------------------------------
% 0.20/0.53 % (23421)------------------------------
% 0.20/0.54 % (23457)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)
% 0.20/0.54 % (23460)lrs+1010_1:1_au=on:cbe=off:nm=2:ntd=on:sd=2:ss=axioms:st=5.0:i=107:si=on:rtra=on_0 on theBenchmark for (2998ds/107Mi)
% 0.20/0.54 % (23461)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)
% 1.54/0.55 % (23461)Instruction limit reached!
% 1.54/0.55 % (23461)------------------------------
% 1.54/0.55 % (23461)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.54/0.55 % (23461)Termination reason: Unknown
% 1.54/0.55 % (23461)Termination phase: Function definition elimination
% 1.54/0.55
% 1.54/0.55 % (23461)Memory used [KB]: 1535
% 1.54/0.55 % (23461)Time elapsed: 0.013 s
% 1.54/0.55 % (23461)Instructions burned: 40 (million)
% 1.54/0.55 % (23461)------------------------------
% 1.54/0.55 % (23461)------------------------------
% 1.54/0.56 % (23457)Instruction limit reached!
% 1.54/0.56 % (23457)------------------------------
% 1.54/0.56 % (23457)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.54/0.56 % (23457)Termination reason: Unknown
% 1.54/0.56 % (23457)Termination phase: Property scanning
% 1.54/0.56
% 1.54/0.56 % (23457)Memory used [KB]: 1791
% 1.54/0.56 % (23457)Time elapsed: 0.022 s
% 1.54/0.56 % (23457)Instructions burned: 87 (million)
% 1.54/0.56 % (23457)------------------------------
% 1.54/0.56 % (23457)------------------------------
% 1.54/0.56 % (23480)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)
% 1.54/0.57 % (23482)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)
% 1.54/0.57 % (23460)Instruction limit reached!
% 1.54/0.57 % (23460)------------------------------
% 1.54/0.57 % (23460)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.54/0.57 % (23460)Termination reason: Unknown
% 1.68/0.57 % (23460)Termination phase: Saturation
% 1.68/0.57
% 1.68/0.57 % (23460)Memory used [KB]: 6396
% 1.68/0.57 % (23460)Time elapsed: 0.030 s
% 1.68/0.57 % (23460)Instructions burned: 108 (million)
% 1.68/0.57 % (23460)------------------------------
% 1.68/0.57 % (23460)------------------------------
% 1.68/0.58 % (23402)Instruction limit reached!
% 1.68/0.58 % (23402)------------------------------
% 1.68/0.58 % (23402)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.68/0.58 % (23402)Termination reason: Unknown
% 1.68/0.58 % (23402)Termination phase: Saturation
% 1.68/0.58
% 1.68/0.58 % (23402)Memory used [KB]: 6780
% 1.68/0.58 % (23402)Time elapsed: 0.111 s
% 1.68/0.58 % (23402)Instructions burned: 378 (million)
% 1.68/0.58 % (23402)------------------------------
% 1.68/0.58 % (23402)------------------------------
% 1.68/0.58 % (23491)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)
% 1.68/0.58 % (23482)Instruction limit reached!
% 1.68/0.58 % (23482)------------------------------
% 1.68/0.58 % (23482)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.68/0.58 % (23482)Termination reason: Unknown
% 1.68/0.58 % (23482)Termination phase: Property scanning
% 1.68/0.58
% 1.68/0.58 % (23482)Memory used [KB]: 1535
% 1.68/0.58 % (23482)Time elapsed: 0.015 s
% 1.68/0.58 % (23482)Instructions burned: 48 (million)
% 1.68/0.58 % (23482)------------------------------
% 1.68/0.58 % (23482)------------------------------
% 1.68/0.58 % (23494)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)
% 1.68/0.59 % (23495)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)
% 1.68/0.60 % (23491)Instruction limit reached!
% 1.68/0.60 % (23491)------------------------------
% 1.68/0.60 % (23491)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.68/0.61 % (23491)Termination reason: Unknown
% 1.68/0.61 % (23491)Termination phase: Saturation
% 1.68/0.61
% 1.68/0.61 % (23491)Memory used [KB]: 1791
% 1.68/0.61 % (23491)Time elapsed: 0.024 s
% 1.68/0.61 % (23491)Instructions burned: 99 (million)
% 1.68/0.61 % (23491)------------------------------
% 1.68/0.61 % (23491)------------------------------
% 1.68/0.61 % (23496)lrs+21_1:16_au=on:bd=off:piset=and:i=39:si=on:rtra=on_0 on theBenchmark for (2997ds/39Mi)
% 1.68/0.63 % (23496)Instruction limit reached!
% 1.68/0.63 % (23496)------------------------------
% 1.68/0.63 % (23496)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.68/0.63 % (23496)Termination reason: Unknown
% 1.68/0.63 % (23496)Termination phase: Function definition elimination
% 1.68/0.63
% 1.68/0.63 % (23496)Memory used [KB]: 1663
% 1.68/0.63 % (23496)Time elapsed: 0.013 s
% 1.68/0.63 % (23496)Instructions burned: 43 (million)
% 1.68/0.63 % (23496)------------------------------
% 1.68/0.63 % (23496)------------------------------
% 2.02/0.63 % (23497)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)
% 2.02/0.64 % (23497)Instruction limit reached!
% 2.02/0.64 % (23497)------------------------------
% 2.02/0.64 % (23497)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.02/0.64 % (23497)Termination reason: Unknown
% 2.02/0.64 % (23497)Termination phase: shuffling
% 2.02/0.64 % (23495)Instruction limit reached!
% 2.02/0.64 % (23495)------------------------------
% 2.02/0.64 % (23495)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.02/0.64
% 2.02/0.64 % (23497)Memory used [KB]: 1279
% 2.02/0.64 % (23497)Time elapsed: 0.003 s
% 2.02/0.64 % (23497)Instructions burned: 7 (million)
% 2.02/0.64 % (23497)------------------------------
% 2.02/0.64 % (23497)------------------------------
% 2.02/0.64 % (23495)Termination reason: Unknown
% 2.02/0.64 % (23495)Termination phase: Saturation
% 2.02/0.64
% 2.02/0.64 % (23495)Memory used [KB]: 6652
% 2.02/0.64 % (23495)Time elapsed: 0.046 s
% 2.02/0.64 % (23495)Instructions burned: 149 (million)
% 2.02/0.64 % (23495)------------------------------
% 2.02/0.64 % (23495)------------------------------
% 2.02/0.64 % (23498)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)
% 2.02/0.64 % (23499)dis+10_1:1_aac=none:cs=on:i=47:si=on:rtra=on_0 on theBenchmark for (2997ds/47Mi)
% 2.19/0.66 % (23499)Instruction limit reached!
% 2.19/0.66 % (23499)------------------------------
% 2.19/0.66 % (23499)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.19/0.66 % (23499)Termination reason: Unknown
% 2.19/0.66 % (23499)Termination phase: Function definition elimination
% 2.19/0.66
% 2.19/0.66 % (23499)Memory used [KB]: 1663
% 2.19/0.66 % (23499)Time elapsed: 0.014 s
% 2.19/0.66 % (23499)Instructions burned: 48 (million)
% 2.19/0.66 % (23499)------------------------------
% 2.19/0.66 % (23499)------------------------------
% 2.19/0.66 % (23390)Refutation not found, non-redundant clauses discarded% (23390)------------------------------
% 2.19/0.66 % (23390)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.19/0.66 % (23390)Termination reason: Refutation not found, non-redundant clauses discarded
% 2.19/0.66
% 2.19/0.66 % (23390)Memory used [KB]: 7803
% 2.19/0.66 % (23390)Time elapsed: 0.231 s
% 2.19/0.66 % (23390)Instructions burned: 653 (million)
% 2.19/0.66 % (23390)------------------------------
% 2.19/0.66 % (23390)------------------------------
% 2.19/0.67 % (23509)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)
% 2.19/0.67 % (23513)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 (2996ds/432Mi)
% 2.19/0.68 % (23509)Instruction limit reached!
% 2.19/0.68 % (23509)------------------------------
% 2.19/0.68 % (23509)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.19/0.68 % (23509)Termination reason: Unknown
% 2.19/0.68 % (23509)Termination phase: Saturation
% 2.19/0.68
% 2.19/0.68 % (23509)Memory used [KB]: 1535
% 2.19/0.68 % (23509)Time elapsed: 0.014 s
% 2.19/0.68 % (23509)Instructions burned: 47 (million)
% 2.19/0.68 % (23509)------------------------------
% 2.19/0.68 % (23509)------------------------------
% 2.19/0.69 % (23522)lrs+10_7:1_cnfonf=lazy_gen:fe=off:nwc=5.0:plsq=on:i=62:si=on:rtra=on_0 on theBenchmark for (2996ds/62Mi)
% 2.19/0.69 % (23404)Instruction limit reached!
% 2.19/0.69 % (23404)------------------------------
% 2.19/0.69 % (23404)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.19/0.69 % (23404)Termination reason: Unknown
% 2.19/0.69 % (23404)Termination phase: Saturation
% 2.19/0.69
% 2.19/0.69 % (23404)Memory used [KB]: 6908
% 2.19/0.69 % (23404)Time elapsed: 0.229 s
% 2.19/0.69 % (23404)Instructions burned: 780 (million)
% 2.19/0.69 % (23404)------------------------------
% 2.19/0.69 % (23404)------------------------------
% 2.19/0.70 % (23480)Instruction limit reached!
% 2.19/0.70 % (23480)------------------------------
% 2.19/0.70 % (23480)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.19/0.70 % (23480)Termination reason: Unknown
% 2.19/0.70 % (23480)Termination phase: Saturation
% 2.19/0.70
% 2.19/0.70 % (23480)Memory used [KB]: 6908
% 2.19/0.70 % (23480)Time elapsed: 0.133 s
% 2.19/0.70 % (23480)Instructions burned: 451 (million)
% 2.19/0.70 % (23480)------------------------------
% 2.19/0.70 % (23480)------------------------------
% 2.19/0.70 % (23529)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 (2996ds/31Mi)
% 2.19/0.70 % (23522)Instruction limit reached!
% 2.19/0.70 % (23522)------------------------------
% 2.19/0.70 % (23522)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.19/0.70 % (23522)Termination reason: Unknown
% 2.19/0.70 % (23522)Termination phase: Function definition elimination
% 2.19/0.70
% 2.19/0.70 % (23522)Memory used [KB]: 1791
% 2.19/0.70 % (23522)Time elapsed: 0.016 s
% 2.19/0.70 % (23522)Instructions burned: 64 (million)
% 2.19/0.70 % (23522)------------------------------
% 2.19/0.70 % (23522)------------------------------
% 2.19/0.70 % (23533)dis+10_1:128_hud=1:i=96:si=on:rtra=on_0 on theBenchmark for (2996ds/96Mi)
% 2.19/0.71 % (23529)Instruction limit reached!
% 2.19/0.71 % (23529)------------------------------
% 2.19/0.71 % (23529)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.19/0.71 % (23529)Termination reason: Unknown
% 2.19/0.71 % (23529)Termination phase: Property scanning
% 2.19/0.71
% 2.19/0.71 % (23529)Memory used [KB]: 1535
% 2.19/0.71 % (23529)Time elapsed: 0.010 s
% 2.19/0.71 % (23529)Instructions burned: 31 (million)
% 2.19/0.71 % (23529)------------------------------
% 2.19/0.71 % (23529)------------------------------
% 2.19/0.71 % (23380)Instruction limit reached!
% 2.19/0.71 % (23380)------------------------------
% 2.19/0.71 % (23380)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.19/0.71 % (23380)Termination reason: Unknown
% 2.19/0.71 % (23380)Termination phase: Saturation
% 2.19/0.71
% 2.19/0.71 % (23380)Memory used [KB]: 7803
% 2.19/0.71 % (23380)Time elapsed: 0.328 s
% 2.19/0.71 % (23380)Instructions burned: 1041 (million)
% 2.19/0.71 % (23380)------------------------------
% 2.19/0.71 % (23380)------------------------------
% 2.19/0.71 % (23539)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)
% 2.19/0.71 % (23494)Instruction limit reached!
% 2.19/0.71 % (23494)------------------------------
% 2.19/0.71 % (23494)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.19/0.71 % (23494)Termination reason: Unknown
% 2.19/0.71 % (23494)Termination phase: Saturation
% 2.19/0.71
% 2.19/0.71 % (23494)Memory used [KB]: 6908
% 2.19/0.71 % (23494)Time elapsed: 0.129 s
% 2.19/0.71 % (23494)Instructions burned: 509 (million)
% 2.19/0.71 % (23494)------------------------------
% 2.19/0.71 % (23494)------------------------------
% 2.19/0.71 % (23407)Instruction limit reached!
% 2.19/0.71 % (23407)------------------------------
% 2.19/0.71 % (23407)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.19/0.71 % (23407)Termination reason: Unknown
% 2.19/0.71 % (23407)Termination phase: Saturation
% 2.19/0.71
% 2.19/0.71 % (23407)Memory used [KB]: 7675
% 2.19/0.71 % (23407)Time elapsed: 0.243 s
% 2.19/0.71 % (23407)Instructions burned: 882 (million)
% 2.19/0.71 % (23407)------------------------------
% 2.19/0.71 % (23407)------------------------------
% 2.19/0.72 % (23543)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)
% 2.73/0.72 % (23546)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)
% 2.73/0.72 % (23547)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)
% 2.73/0.72 % (23548)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)
% 2.73/0.72 % (23547)Instruction limit reached!
% 2.73/0.72 % (23547)------------------------------
% 2.73/0.72 % (23547)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.73/0.72 % (23547)Termination reason: Unknown
% 2.73/0.72 % (23547)Termination phase: shuffling
% 2.73/0.72
% 2.73/0.72 % (23547)Memory used [KB]: 1407
% 2.73/0.72 % (23547)Time elapsed: 0.005 s
% 2.73/0.72 % (23547)Instructions burned: 13 (million)
% 2.73/0.72 % (23547)------------------------------
% 2.73/0.72 % (23547)------------------------------
% 2.73/0.73 % (23533)Instruction limit reached!
% 2.73/0.73 % (23533)------------------------------
% 2.73/0.73 % (23533)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.73/0.73 % (23533)Termination reason: Unknown
% 2.73/0.73 % (23533)Termination phase: Saturation
% 2.73/0.73
% 2.73/0.73 % (23533)Memory used [KB]: 6268
% 2.73/0.73 % (23533)Time elapsed: 0.025 s
% 2.73/0.73 % (23533)Instructions burned: 100 (million)
% 2.73/0.73 % (23533)------------------------------
% 2.73/0.73 % (23533)------------------------------
% 2.73/0.73 % (23552)lrs+1004_1:1_chr=on:prag=on:i=6:si=on:rtra=on_0 on theBenchmark for (2996ds/6Mi)
% 2.73/0.73 % (23543)Instruction limit reached!
% 2.73/0.73 % (23543)------------------------------
% 2.73/0.73 % (23543)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.73/0.73 % (23543)Termination reason: Unknown
% 2.73/0.73 % (23543)Termination phase: Property scanning
% 2.73/0.73
% 2.73/0.73 % (23543)Memory used [KB]: 1791
% 2.73/0.73 % (23543)Time elapsed: 0.018 s
% 2.73/0.73 % (23543)Instructions burned: 72 (million)
% 2.73/0.73 % (23543)------------------------------
% 2.73/0.73 % (23543)------------------------------
% 2.73/0.73 % (23548)Instruction limit reached!
% 2.73/0.73 % (23548)------------------------------
% 2.73/0.73 % (23548)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.73/0.73 % (23548)Termination reason: Unknown
% 2.73/0.73 % (23548)Termination phase: Function definition elimination
% 2.73/0.73
% 2.73/0.73 % (23548)Memory used [KB]: 1535
% 2.73/0.73 % (23548)Time elapsed: 0.013 s
% 2.73/0.73 % (23548)Instructions burned: 42 (million)
% 2.73/0.73 % (23548)------------------------------
% 2.73/0.73 % (23548)------------------------------
% 2.73/0.73 % (23552)Instruction limit reached!
% 2.73/0.73 % (23552)------------------------------
% 2.73/0.73 % (23552)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.73/0.73 % (23552)Termination reason: Unknown
% 2.73/0.73 % (23552)Termination phase: shuffling
% 2.73/0.73
% 2.73/0.73 % (23552)Memory used [KB]: 1279
% 2.73/0.73 % (23552)Time elapsed: 0.003 s
% 2.73/0.73 % (23552)Instructions burned: 6 (million)
% 2.73/0.73 % (23552)------------------------------
% 2.73/0.73 % (23552)------------------------------
% 2.73/0.74 % (23555)dis+10_1:1_avsq=on:cnfonf=off:e2e=on:nm=32:i=150:si=on:rtra=on_0 on theBenchmark for (2996ds/150Mi)
% 2.73/0.74 % (23546)Instruction limit reached!
% 2.73/0.74 % (23546)------------------------------
% 2.73/0.74 % (23546)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.73/0.74 % (23546)Termination reason: Unknown
% 2.73/0.74 % (23546)Termination phase: Saturation
% 2.73/0.74
% 2.73/0.74 % (23546)Memory used [KB]: 6268
% 2.73/0.74 % (23546)Time elapsed: 0.024 s
% 2.73/0.74 % (23546)Instructions burned: 85 (million)
% 2.73/0.74 % (23546)------------------------------
% 2.73/0.74 % (23546)------------------------------
% 2.73/0.74 % (23558)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)
% 2.73/0.74 % (23559)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)
% 2.73/0.74 % (23561)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)
% 2.73/0.75 % (23566)lrs+10_1:1_au=on:cnfonf=off:sd=1:sgt=16:ss=axioms:i=140:si=on:rtra=on_0 on theBenchmark for (2996ds/140Mi)
% 2.87/0.77 % (23559)Instruction limit reached!
% 2.87/0.77 % (23559)------------------------------
% 2.87/0.77 % (23559)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.87/0.77 % (23559)Termination reason: Unknown
% 2.87/0.77 % (23559)Termination phase: Saturation
% 2.87/0.77
% 2.87/0.77 % (23559)Memory used [KB]: 6396
% 2.87/0.77 % (23559)Time elapsed: 0.028 s
% 2.87/0.77 % (23559)Instructions burned: 111 (million)
% 2.87/0.77 % (23559)------------------------------
% 2.87/0.77 % (23559)------------------------------
% 2.87/0.77 % (23555)Instruction limit reached!
% 2.87/0.77 % (23555)------------------------------
% 2.87/0.77 % (23555)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.87/0.77 % (23555)Termination reason: Unknown
% 2.87/0.77 % (23555)Termination phase: Saturation
% 2.87/0.77
% 2.87/0.77 % (23555)Memory used [KB]: 6396
% 2.87/0.77 % (23555)Time elapsed: 0.036 s
% 2.87/0.77 % (23555)Instructions burned: 152 (million)
% 2.87/0.77 % (23555)------------------------------
% 2.87/0.77 % (23555)------------------------------
% 2.87/0.78 % (23574)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)
% 2.87/0.78 % (23566)Refutation not found, incomplete strategy
% 2.87/0.78 % (23566)------------------------------
% 2.87/0.78 % (23566)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.87/0.78 % (23566)Termination reason: Refutation not found, incomplete strategy
% 2.87/0.78
% 2.87/0.78
% 2.87/0.78 % (23566)Memory used [KB]: 6524
% 2.87/0.78 % (23566)Time elapsed: 0.029 s
% 2.87/0.78 % (23566)Instructions burned: 88 (million)
% 2.87/0.78 % (23566)------------------------------
% 2.87/0.78 % (23566)------------------------------
% 2.87/0.78 % (23577)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)
% 2.87/0.78 % (23513)Instruction limit reached!
% 2.87/0.78 % (23513)------------------------------
% 2.87/0.78 % (23513)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.87/0.78 % (23513)Termination reason: Unknown
% 2.87/0.78 % (23513)Termination phase: Saturation
% 2.87/0.78
% 2.87/0.78 % (23513)Memory used [KB]: 3454
% 2.87/0.78 % (23513)Time elapsed: 0.110 s
% 2.87/0.78 % (23513)Instructions burned: 434 (million)
% 2.87/0.78 % (23513)------------------------------
% 2.87/0.78 % (23513)------------------------------
% 2.87/0.79 % (23582)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)
% 2.87/0.79 % (23583)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)
% 2.87/0.79 % (23577)Refutation not found, incomplete strategy
% 2.87/0.79 % (23577)------------------------------
% 2.87/0.79 % (23577)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.87/0.79 % (23577)Termination reason: Refutation not found, incomplete strategy
% 2.87/0.79
% 2.87/0.79
% 2.87/0.79 % (23577)Memory used [KB]: 6140
% 2.87/0.79 % (23577)Time elapsed: 0.013 s
% 2.87/0.79 % (23577)Instructions burned: 37 (million)
% 2.87/0.79 % (23577)------------------------------
% 2.87/0.79 % (23577)------------------------------
% 2.87/0.80 % (23596)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)
% 2.87/0.81 % (23561)Instruction limit reached!
% 2.87/0.81 % (23561)------------------------------
% 2.87/0.81 % (23561)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.87/0.81 % (23561)Termination reason: Unknown
% 2.87/0.81 % (23561)Termination phase: Saturation
% 2.87/0.81
% 2.87/0.81 % (23561)Memory used [KB]: 6524
% 2.87/0.81 % (23561)Time elapsed: 0.067 s
% 2.87/0.81 % (23561)Instructions burned: 253 (million)
% 2.87/0.81 % (23561)------------------------------
% 2.87/0.81 % (23561)------------------------------
% 2.87/0.82 % (23539)Instruction limit reached!
% 2.87/0.82 % (23539)------------------------------
% 2.87/0.82 % (23539)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.87/0.82 % (23539)Termination reason: Unknown
% 2.87/0.82 % (23539)Termination phase: Saturation
% 2.87/0.82
% 2.87/0.82 % (23539)Memory used [KB]: 6908
% 2.87/0.82 % (23539)Time elapsed: 0.107 s
% 2.87/0.82 % (23539)Instructions burned: 454 (million)
% 2.87/0.82 % (23539)------------------------------
% 2.87/0.82 % (23539)------------------------------
% 2.87/0.82 % (23605)dis+1010_1:64_cnfonf=lazy_simp:fd=off:i=298:si=on:rtra=on_0 on theBenchmark for (2995ds/298Mi)
% 2.87/0.83 % (23615)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)
% 2.87/0.83 % (23596)Instruction limit reached!
% 2.87/0.83 % (23596)------------------------------
% 2.87/0.83 % (23596)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.87/0.83 % (23596)Termination reason: Unknown
% 2.87/0.83 % (23596)Termination phase: Saturation
% 2.87/0.83
% 2.87/0.83 % (23596)Memory used [KB]: 6396
% 2.87/0.83 % (23596)Time elapsed: 0.033 s
% 2.87/0.83 % (23596)Instructions burned: 137 (million)
% 2.87/0.83 % (23596)------------------------------
% 2.87/0.83 % (23596)------------------------------
% 2.87/0.84 % (23558)Instruction limit reached!
% 2.87/0.84 % (23558)------------------------------
% 2.87/0.84 % (23558)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.87/0.84 % (23558)Termination reason: Unknown
% 2.87/0.84 % (23558)Termination phase: Saturation
% 2.87/0.84
% 2.87/0.84 % (23558)Memory used [KB]: 6780
% 2.87/0.84 % (23558)Time elapsed: 0.095 s
% 2.87/0.84 % (23558)Instructions burned: 344 (million)
% 2.87/0.84 % (23558)------------------------------
% 2.87/0.84 % (23558)------------------------------
% 3.45/0.84 % (23624)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)
% 3.45/0.84 % (23626)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 (2995ds/90Mi)
% 3.45/0.85 % (23583)Instruction limit reached!
% 3.45/0.85 % (23583)------------------------------
% 3.45/0.85 % (23583)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 3.45/0.85 % (23583)Termination reason: Unknown
% 3.45/0.85 % (23583)Termination phase: Saturation
% 3.45/0.85
% 3.45/0.85 % (23583)Memory used [KB]: 6780
% 3.45/0.85 % (23583)Time elapsed: 0.064 s
% 3.45/0.85 % (23583)Instructions burned: 287 (million)
% 3.45/0.85 % (23583)------------------------------
% 3.45/0.85 % (23583)------------------------------
% 3.45/0.86 % (23642)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 (2995ds/231Mi)
% 3.45/0.87 % (23626)Instruction limit reached!
% 3.45/0.87 % (23626)------------------------------
% 3.45/0.87 % (23626)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 3.45/0.87 % (23626)Termination reason: Unknown
% 3.45/0.87 % (23626)Termination phase: Saturation
% 3.45/0.87
% 3.45/0.87 % (23626)Memory used [KB]: 6396
% 3.45/0.87 % (23626)Time elapsed: 0.024 s
% 3.45/0.87 % (23626)Instructions burned: 92 (million)
% 3.45/0.87 % (23626)------------------------------
% 3.45/0.87 % (23626)------------------------------
% 3.45/0.87 % (23615)Instruction limit reached!
% 3.45/0.87 % (23615)------------------------------
% 3.45/0.87 % (23615)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 3.45/0.87 % (23615)Termination reason: Unknown
% 3.45/0.87 % (23615)Termination phase: Saturation
% 3.45/0.87
% 3.45/0.87 % (23615)Memory used [KB]: 6780
% 3.45/0.87 % (23615)Time elapsed: 0.046 s
% 3.45/0.87 % (23615)Instructions burned: 197 (million)
% 3.45/0.87 % (23615)------------------------------
% 3.45/0.87 % (23615)------------------------------
% 3.60/0.88 % (23647)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 (2995ds/458Mi)
% 3.60/0.88 % (23649)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 (2995ds/31Mi)
% 3.60/0.88 % (23605)Instruction limit reached!
% 3.60/0.88 % (23605)------------------------------
% 3.60/0.88 % (23605)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 3.60/0.88 % (23605)Termination reason: Unknown
% 3.60/0.88 % (23605)Termination phase: Saturation
% 3.60/0.88
% 3.60/0.88 % (23605)Memory used [KB]: 6780
% 3.60/0.88 % (23605)Time elapsed: 0.066 s
% 3.60/0.88 % (23605)Instructions burned: 300 (million)
% 3.60/0.88 % (23605)------------------------------
% 3.60/0.88 % (23605)------------------------------
% 3.60/0.89 % (23649)Instruction limit reached!
% 3.60/0.89 % (23649)------------------------------
% 3.60/0.89 % (23649)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 3.60/0.89 % (23649)Termination reason: Unknown
% 3.60/0.89 % (23649)Termination phase: Property scanning
% 3.60/0.89
% 3.60/0.89 % (23649)Memory used [KB]: 1535
% 3.60/0.89 % (23649)Time elapsed: 0.010 s
% 3.60/0.89 % (23649)Instructions burned: 32 (million)
% 3.60/0.89 % (23649)------------------------------
% 3.60/0.89 % (23649)------------------------------
% 3.60/0.89 % (23582)Instruction limit reached!
% 3.60/0.89 % (23582)------------------------------
% 3.60/0.89 % (23582)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 3.60/0.89 % (23582)Termination reason: Unknown
% 3.60/0.89 % (23582)Termination phase: Saturation
% 3.60/0.89
% 3.60/0.89 % (23582)Memory used [KB]: 7419
% 3.60/0.89 % (23582)Time elapsed: 0.104 s
% 3.60/0.89 % (23582)Instructions burned: 339 (million)
% 3.60/0.89 % (23582)------------------------------
% 3.60/0.89 % (23582)------------------------------
% 3.60/0.89 % (23657)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)
% 3.60/0.90 % (23661)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)
% 3.60/0.90 % (23665)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)
% 3.60/0.90 % (23624)Instruction limit reached!
% 3.60/0.90 % (23624)------------------------------
% 3.60/0.90 % (23624)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 3.60/0.90 % (23624)Termination reason: Unknown
% 3.60/0.90 % (23624)Termination phase: Saturation
% 3.60/0.90
% 3.60/0.90 % (23624)Memory used [KB]: 6780
% 3.60/0.90 % (23624)Time elapsed: 0.059 s
% 3.60/0.90 % (23624)Instructions burned: 261 (million)
% 3.60/0.90 % (23624)------------------------------
% 3.60/0.90 % (23624)------------------------------
% 3.60/0.90 % (23574)Instruction limit reached!
% 3.60/0.90 % (23574)------------------------------
% 3.60/0.90 % (23574)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 3.60/0.90 % (23574)Termination reason: Unknown
% 3.60/0.90 % (23574)Termination phase: Saturation
% 3.60/0.90
% 3.60/0.90 % (23574)Memory used [KB]: 6780
% 3.60/0.90 % (23574)Time elapsed: 0.128 s
% 3.60/0.90 % (23574)Instructions burned: 618 (million)
% 3.60/0.90 % (23574)------------------------------
% 3.60/0.90 % (23574)------------------------------
% 3.60/0.91 % (23668)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)
% 3.60/0.91 % (23671)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)
% 4.01/0.93 % (23642)Instruction limit reached!
% 4.01/0.93 % (23642)------------------------------
% 4.01/0.93 % (23642)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 4.01/0.93 % (23642)Termination reason: Unknown
% 4.01/0.93 % (23642)Termination phase: Saturation
% 4.01/0.93
% 4.01/0.93 % (23642)Memory used [KB]: 6908
% 4.01/0.93 % (23642)Time elapsed: 0.073 s
% 4.01/0.93 % (23642)Instructions burned: 232 (million)
% 4.01/0.93 % (23642)------------------------------
% 4.01/0.93 % (23642)------------------------------
% 4.01/0.94 % (23665)Instruction limit reached!
% 4.01/0.94 % (23665)------------------------------
% 4.01/0.94 % (23665)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 4.01/0.94 % (23665)Termination reason: Unknown
% 4.01/0.94 % (23665)Termination phase: Saturation
% 4.01/0.94
% 4.01/0.94 % (23665)Memory used [KB]: 6780
% 4.01/0.94 % (23665)Time elapsed: 0.041 s
% 4.01/0.94 % (23665)Instructions burned: 184 (million)
% 4.01/0.94 % (23665)------------------------------
% 4.01/0.94 % (23665)------------------------------
% 4.01/0.94 % (23686)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)
% 4.01/0.95 % (23687)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)
% 4.01/0.95 % (23671)Instruction limit reached!
% 4.01/0.95 % (23671)------------------------------
% 4.01/0.95 % (23671)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 4.01/0.95 % (23671)Termination reason: Unknown
% 4.01/0.95 % (23671)Termination phase: Saturation
% 4.01/0.95
% 4.01/0.95 % (23671)Memory used [KB]: 6524
% 4.01/0.95 % (23671)Time elapsed: 0.035 s
% 4.01/0.95 % (23671)Instructions burned: 156 (million)
% 4.01/0.95 % (23671)------------------------------
% 4.01/0.95 % (23671)------------------------------
% 4.18/0.95 % (23688)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)
% 4.18/0.96 % (23686)Instruction limit reached!
% 4.18/0.96 % (23686)------------------------------
% 4.18/0.96 % (23686)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 4.18/0.96 % (23686)Termination reason: Unknown
% 4.18/0.96 % (23686)Termination phase: Property scanning
% 4.18/0.96
% 4.18/0.96 % (23686)Memory used [KB]: 1791
% 4.18/0.96 % (23686)Time elapsed: 0.019 s
% 4.18/0.96 % (23686)Instructions burned: 81 (million)
% 4.18/0.96 % (23686)------------------------------
% 4.18/0.96 % (23686)------------------------------
% 4.18/0.96 % (23668)Instruction limit reached!
% 4.18/0.96 % (23668)------------------------------
% 4.18/0.96 % (23668)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 4.18/0.96 % (23668)Termination reason: Unknown
% 4.18/0.96 % (23668)Termination phase: Saturation
% 4.18/0.96
% 4.18/0.96 % (23668)Memory used [KB]: 6652
% 4.18/0.96 % (23668)Time elapsed: 0.079 s
% 4.18/0.96 % (23668)Instructions burned: 184 (million)
% 4.18/0.96 % (23668)------------------------------
% 4.18/0.96 % (23668)------------------------------
% 4.18/0.97 % (23647)Instruction limit reached!
% 4.18/0.97 % (23647)------------------------------
% 4.18/0.97 % (23647)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 4.18/0.97 % (23647)Termination reason: Unknown
% 4.18/0.97 % (23647)Termination phase: Saturation
% 4.18/0.97
% 4.18/0.97 % (23647)Memory used [KB]: 6780
% 4.18/0.97 % (23647)Time elapsed: 0.092 s
% 4.18/0.97 % (23647)Instructions burned: 459 (million)
% 4.18/0.97 % (23647)------------------------------
% 4.18/0.97 % (23647)------------------------------
% 4.18/0.97 % (23689)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)
% 4.18/0.97 % (23690)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)
% 4.18/0.97 % (23691)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)
% 4.18/0.97 % (23657)Instruction limit reached!
% 4.18/0.97 % (23657)------------------------------
% 4.18/0.97 % (23657)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 4.18/0.97 % (23657)Termination reason: Unknown
% 4.18/0.97 % (23657)Termination phase: Saturation
% 4.18/0.97
% 4.18/0.97 % (23657)Memory used [KB]: 6908
% 4.18/0.97 % (23657)Time elapsed: 0.106 s
% 4.18/0.97 % (23657)Instructions burned: 300 (million)
% 4.18/0.97 % (23657)------------------------------
% 4.18/0.97 % (23657)------------------------------
% 4.18/0.98 % (23688)Instruction limit reached!
% 4.18/0.98 % (23688)------------------------------
% 4.18/0.98 % (23688)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 4.18/0.98 % (23688)Termination reason: Unknown
% 4.18/0.98 % (23688)Termination phase: Saturation
% 4.18/0.98
% 4.18/0.98 % (23688)Memory used [KB]: 6396
% 4.18/0.98 % (23688)Time elapsed: 0.026 s
% 4.18/0.98 % (23688)Instructions burned: 116 (million)
% 4.18/0.98 % (23688)------------------------------
% 4.18/0.98 % (23688)------------------------------
% 4.18/0.98 % (23692)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)
% 4.18/0.99 % (23696)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)
% 4.18/0.99 % (23498)Instruction limit reached!
% 4.18/0.99 % (23498)------------------------------
% 4.18/0.99 % (23498)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 4.18/0.99 % (23498)Termination reason: Unknown
% 4.18/0.99 % (23498)Termination phase: Saturation
% 4.18/0.99
% 4.18/0.99 % (23498)Memory used [KB]: 8699
% 4.18/0.99 % (23498)Time elapsed: 0.349 s
% 4.18/0.99 % (23498)Instructions burned: 1088 (million)
% 4.18/0.99 % (23498)------------------------------
% 4.18/0.99 % (23498)------------------------------
% 4.18/0.99 % (23692)Instruction limit reached!
% 4.18/0.99 % (23692)------------------------------
% 4.18/0.99 % (23692)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 4.18/0.99 % (23692)Termination reason: Unknown
% 4.18/0.99 % (23692)Termination phase: Function definition elimination
% 4.18/0.99
% 4.18/0.99 % (23692)Memory used [KB]: 1535
% 4.18/0.99 % (23692)Time elapsed: 0.013 s
% 4.18/0.99 % (23692)Instructions burned: 52 (million)
% 4.18/0.99 % (23692)------------------------------
% 4.18/0.99 % (23692)------------------------------
% 4.18/1.00 % (23687)Instruction limit reached!
% 4.18/1.00 % (23687)------------------------------
% 4.18/1.00 % (23687)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 4.18/1.00 % (23687)Termination reason: Unknown
% 4.18/1.00 % (23687)Termination phase: Saturation
% 4.18/1.00
% 4.18/1.00 % (23687)Memory used [KB]: 6524
% 4.18/1.00 % (23687)Time elapsed: 0.055 s
% 4.18/1.00 % (23687)Instructions burned: 219 (million)
% 4.18/1.00 % (23687)------------------------------
% 4.18/1.00 % (23687)------------------------------
% 4.18/1.00 % (23703)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)
% 4.18/1.00 % (23705)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)
% 4.18/1.01 % (23707)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)
% 4.18/1.01 % (23690)Instruction limit reached!
% 4.18/1.01 % (23690)------------------------------
% 4.18/1.01 % (23690)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 4.18/1.01 % (23690)Termination reason: Unknown
% 4.18/1.01 % (23690)Termination phase: Saturation
% 4.18/1.01
% 4.18/1.01 % (23690)Memory used [KB]: 6780
% 4.18/1.01 % (23690)Time elapsed: 0.040 s
% 4.18/1.01 % (23690)Instructions burned: 184 (million)
% 4.18/1.01 % (23690)------------------------------
% 4.18/1.01 % (23690)------------------------------
% 4.18/1.02 % (23691)Instruction limit reached!
% 4.18/1.02 % (23691)------------------------------
% 4.18/1.02 % (23691)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 4.18/1.02 % (23691)Termination reason: Unknown
% 4.18/1.02 % (23691)Termination phase: Saturation
% 4.18/1.02
% 4.18/1.02 % (23691)Memory used [KB]: 1918
% 4.18/1.02 % (23691)Time elapsed: 0.044 s
% 4.18/1.02 % (23691)Instructions burned: 167 (million)
% 4.18/1.02 % (23691)------------------------------
% 4.18/1.02 % (23691)------------------------------
% 5.02/1.02 % (23711)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)
% 5.02/1.02 % (23714)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)
% 5.02/1.03 % (23711)Instruction limit reached!
% 5.02/1.03 % (23711)------------------------------
% 5.02/1.03 % (23711)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 5.02/1.03 % (23711)Termination reason: Unknown
% 5.02/1.03 % (23711)Termination phase: Property scanning
% 5.02/1.03
% 5.02/1.03 % (23711)Memory used [KB]: 1535
% 5.02/1.03 % (23711)Time elapsed: 0.009 s
% 5.02/1.03 % (23711)Instructions burned: 29 (million)
% 5.02/1.03 % (23711)------------------------------
% 5.02/1.03 % (23711)------------------------------
% 5.02/1.03 % (23717)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)
% 5.02/1.04 % (23714)Instruction limit reached!
% 5.02/1.04 % (23714)------------------------------
% 5.02/1.04 % (23714)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 5.02/1.04 % (23714)Termination reason: Unknown
% 5.02/1.04 % (23714)Termination phase: Function definition elimination
% 5.02/1.04
% 5.02/1.04 % (23714)Memory used [KB]: 1663
% 5.02/1.04 % (23714)Time elapsed: 0.014 s
% 5.02/1.04 % (23714)Instructions burned: 58 (million)
% 5.02/1.04 % (23714)------------------------------
% 5.02/1.04 % (23714)------------------------------
% 5.02/1.05 % (23724)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 (2993ds/1539Mi)
% 5.02/1.05 % (23707)Instruction limit reached!
% 5.02/1.05 % (23707)------------------------------
% 5.02/1.05 % (23707)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 5.02/1.05 % (23707)Termination reason: Unknown
% 5.02/1.05 % (23707)Termination phase: Saturation
% 5.02/1.05
% 5.02/1.05 % (23707)Memory used [KB]: 6780
% 5.02/1.05 % (23707)Time elapsed: 0.046 s
% 5.02/1.05 % (23707)Instructions burned: 208 (million)
% 5.02/1.05 % (23707)------------------------------
% 5.02/1.05 % (23707)------------------------------
% 5.02/1.06 % (23705)Instruction limit reached!
% 5.02/1.06 % (23705)------------------------------
% 5.02/1.06 % (23705)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 5.02/1.06 % (23705)Termination reason: Unknown
% 5.02/1.06 % (23705)Termination phase: Saturation
% 5.02/1.06
% 5.02/1.06 % (23705)Memory used [KB]: 6780
% 5.02/1.06 % (23705)Time elapsed: 0.058 s
% 5.02/1.06 % (23705)Instructions burned: 269 (million)
% 5.02/1.06 % (23705)------------------------------
% 5.02/1.06 % (23705)------------------------------
% 5.02/1.06 % (23731)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 (2993ds/408Mi)
% 5.02/1.06 % (23696)Instruction limit reached!
% 5.02/1.06 % (23696)------------------------------
% 5.02/1.06 % (23696)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 5.02/1.06 % (23696)Termination reason: Unknown
% 5.02/1.06 % (23696)Termination phase: Saturation
% 5.02/1.06
% 5.02/1.06 % (23696)Memory used [KB]: 6780
% 5.02/1.06 % (23696)Time elapsed: 0.076 s
% 5.02/1.06 % (23696)Instructions burned: 368 (million)
% 5.02/1.06 % (23696)------------------------------
% 5.02/1.06 % (23696)------------------------------
% 5.02/1.07 % (23733)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 (2993ds/5205Mi)
% 5.67/1.08 % (23737)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 (2993ds/1913Mi)
% 5.67/1.10 % (23661)Instruction limit reached!
% 5.67/1.10 % (23661)------------------------------
% 5.67/1.10 % (23661)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 5.67/1.10 % (23661)Termination reason: Unknown
% 5.67/1.10 % (23661)Termination phase: Saturation
% 5.67/1.10
% 5.67/1.10 % (23661)Memory used [KB]: 7036
% 5.67/1.10 % (23661)Time elapsed: 0.203 s
% 5.67/1.10 % (23661)Instructions burned: 992 (million)
% 5.67/1.10 % (23661)------------------------------
% 5.67/1.10 % (23661)------------------------------
% 5.67/1.10 % (23754)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 (2992ds/4350Mi)
% 6.19/1.17 % (23689)Instruction limit reached!
% 6.19/1.17 % (23689)------------------------------
% 6.19/1.17 % (23689)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 6.19/1.17 % (23689)Termination reason: Unknown
% 6.19/1.17 % (23689)Termination phase: Saturation
% 6.19/1.17
% 6.19/1.17 % (23689)Memory used [KB]: 8059
% 6.19/1.17 % (23689)Time elapsed: 0.199 s
% 6.19/1.17 % (23689)Instructions burned: 923 (million)
% 6.19/1.17 % (23689)------------------------------
% 6.19/1.17 % (23689)------------------------------
% 6.19/1.17 % (23731)Instruction limit reached!
% 6.19/1.17 % (23731)------------------------------
% 6.19/1.17 % (23731)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 6.19/1.17 % (23731)Termination reason: Unknown
% 6.19/1.17 % (23731)Termination phase: Saturation
% 6.19/1.17
% 6.19/1.17 % (23731)Memory used [KB]: 7291
% 6.19/1.17 % (23731)Time elapsed: 0.112 s
% 6.19/1.17 % (23731)Instructions burned: 409 (million)
% 6.19/1.17 % (23731)------------------------------
% 6.19/1.17 % (23731)------------------------------
% 6.19/1.17 % (23778)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 (2992ds/68Mi)
% 6.19/1.18 % (23779)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 (2992ds/358Mi)
% 6.38/1.19 % (23778)Instruction limit reached!
% 6.38/1.19 % (23778)------------------------------
% 6.38/1.19 % (23778)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 6.38/1.19 % (23778)Termination reason: Unknown
% 6.38/1.19 % (23778)Termination phase: Function definition elimination
% 6.38/1.19
% 6.38/1.19 % (23778)Memory used [KB]: 1791
% 6.38/1.19 % (23778)Time elapsed: 0.017 s
% 6.38/1.19 % (23778)Instructions burned: 70 (million)
% 6.38/1.19 % (23778)------------------------------
% 6.38/1.19 % (23778)------------------------------
% 6.38/1.20 % (23703)Instruction limit reached!
% 6.38/1.20 % (23703)------------------------------
% 6.38/1.20 % (23703)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 6.38/1.20 % (23703)Termination reason: Unknown
% 6.38/1.20 % (23703)Termination phase: Saturation
% 6.38/1.20
% 6.38/1.20 % (23703)Memory used [KB]: 6780
% 6.38/1.20 % (23703)Time elapsed: 0.197 s
% 6.38/1.20 % (23703)Instructions burned: 1023 (million)
% 6.38/1.20 % (23703)------------------------------
% 6.38/1.20 % (23703)------------------------------
% 6.38/1.20 % (23780)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)
% 6.38/1.20 % (23781)lrs+10_1:1_cnfonf=lazy_simp:sgt=5:sos=on:ss=axioms:i=279:si=on:rtra=on_0 on theBenchmark for (2991ds/279Mi)
% 6.38/1.21 % (23780)Instruction limit reached!
% 6.38/1.21 % (23780)------------------------------
% 6.38/1.21 % (23780)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 6.38/1.21 % (23780)Termination reason: Unknown
% 6.38/1.21 % (23780)Termination phase: Property scanning
% 6.38/1.21
% 6.38/1.21 % (23780)Memory used [KB]: 1535
% 6.38/1.21 % (23780)Time elapsed: 0.010 s
% 6.38/1.21 % (23780)Instructions burned: 33 (million)
% 6.38/1.21 % (23780)------------------------------
% 6.38/1.21 % (23780)------------------------------
% 6.38/1.21 % (23782)lrs+10_8:1_au=on:fde=none:slsq=on:i=258:si=on:rtra=on_0 on theBenchmark for (2991ds/258Mi)
% 6.62/1.26 % (23779)Instruction limit reached!
% 6.62/1.26 % (23779)------------------------------
% 6.62/1.26 % (23779)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 6.62/1.26 % (23779)Termination reason: Unknown
% 6.62/1.26 % (23779)Termination phase: Saturation
% 6.62/1.26
% 6.62/1.26 % (23779)Memory used [KB]: 6780
% 6.62/1.26 % (23779)Time elapsed: 0.082 s
% 6.62/1.26 % (23779)Instructions burned: 358 (million)
% 6.62/1.26 % (23779)------------------------------
% 6.62/1.26 % (23779)------------------------------
% 6.62/1.27 % (23783)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 (2991ds/26Mi)
% 6.62/1.27 % (23781)Instruction limit reached!
% 6.62/1.27 % (23781)------------------------------
% 6.62/1.27 % (23781)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 6.62/1.27 % (23781)Termination reason: Unknown
% 6.62/1.27 % (23781)Termination phase: Saturation
% 6.62/1.27
% 6.62/1.27 % (23781)Memory used [KB]: 6524
% 6.62/1.27 % (23781)Time elapsed: 0.086 s
% 6.62/1.27 % (23781)Instructions burned: 281 (million)
% 6.62/1.27 % (23781)------------------------------
% 6.62/1.27 % (23781)------------------------------
% 6.62/1.27 % (23783)Instruction limit reached!
% 6.62/1.27 % (23783)------------------------------
% 6.62/1.27 % (23783)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 6.62/1.27 % (23783)Termination reason: Unknown
% 6.62/1.27 % (23783)Termination phase: Property scanning
% 6.62/1.27
% 6.62/1.27 % (23783)Memory used [KB]: 1535
% 6.62/1.27 % (23783)Time elapsed: 0.009 s
% 6.62/1.27 % (23783)Instructions burned: 29 (million)
% 6.62/1.27 % (23783)------------------------------
% 6.62/1.27 % (23783)------------------------------
% 6.62/1.28 % (23784)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 (2991ds/995Mi)
% 6.62/1.28 % (23785)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 (2991ds/373Mi)
% 6.62/1.29 % (23782)Instruction limit reached!
% 6.62/1.29 % (23782)------------------------------
% 6.62/1.29 % (23782)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 6.62/1.29 % (23782)Termination reason: Unknown
% 6.62/1.29 % (23782)Termination phase: Saturation
% 6.62/1.29
% 6.62/1.29 % (23782)Memory used [KB]: 7036
% 6.62/1.29 % (23782)Time elapsed: 0.101 s
% 6.62/1.29 % (23782)Instructions burned: 260 (million)
% 6.62/1.29 % (23782)------------------------------
% 6.62/1.29 % (23782)------------------------------
% 6.62/1.30 % (23786)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 (2990ds/253Mi)
% 7.07/1.34 % (23724)Instruction limit reached!
% 7.07/1.34 % (23724)------------------------------
% 7.07/1.34 % (23724)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 7.07/1.34 % (23724)Termination reason: Unknown
% 7.07/1.34 % (23724)Termination phase: Saturation
% 7.07/1.34
% 7.07/1.34 % (23724)Memory used [KB]: 6780
% 7.07/1.34 % (23724)Time elapsed: 0.292 s
% 7.07/1.34 % (23724)Instructions burned: 1540 (million)
% 7.07/1.34 % (23724)------------------------------
% 7.07/1.34 % (23724)------------------------------
% 7.07/1.34 % (23787)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 (2990ds/832Mi)
% 7.07/1.35 % (23786)Instruction limit reached!
% 7.07/1.35 % (23786)------------------------------
% 7.07/1.35 % (23786)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 7.07/1.35 % (23786)Termination reason: Unknown
% 7.07/1.35 % (23786)Termination phase: Saturation
% 7.07/1.35
% 7.07/1.35 % (23786)Memory used [KB]: 6780
% 7.07/1.35 % (23786)Time elapsed: 0.054 s
% 7.07/1.35 % (23786)Instructions burned: 257 (million)
% 7.07/1.35 % (23786)------------------------------
% 7.07/1.35 % (23786)------------------------------
% 7.07/1.36 % (23787)Refutation not found, incomplete strategy
% 7.07/1.36 % (23787)------------------------------
% 7.07/1.36 % (23787)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 7.07/1.36 % (23787)Termination reason: Refutation not found, incomplete strategy
% 7.07/1.36
% 7.07/1.36
% 7.07/1.36 % (23787)Memory used [KB]: 6140
% 7.07/1.36 % (23787)Time elapsed: 0.014 s
% 7.07/1.36 % (23787)Instructions burned: 46 (million)
% 7.07/1.36 % (23787)------------------------------
% 7.07/1.36 % (23787)------------------------------
% 7.07/1.36 % (23785)Instruction limit reached!
% 7.07/1.36 % (23785)------------------------------
% 7.07/1.36 % (23785)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 7.07/1.36 % (23785)Termination reason: Unknown
% 7.07/1.36 % (23785)Termination phase: Saturation
% 7.07/1.36
% 7.07/1.36 % (23785)Memory used [KB]: 6780
% 7.07/1.36 % (23785)Time elapsed: 0.076 s
% 7.07/1.36 % (23785)Instructions burned: 376 (million)
% 7.07/1.36 % (23785)------------------------------
% 7.07/1.36 % (23785)------------------------------
% 7.38/1.36 % (23788)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 (2990ds/668Mi)
% 7.38/1.36 % (23789)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 (2990ds/40Mi)
% 7.38/1.37 % (23790)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 (2990ds/294Mi)
% 7.38/1.38 % (23789)Instruction limit reached!
% 7.38/1.38 % (23789)------------------------------
% 7.38/1.38 % (23789)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 7.38/1.38 % (23789)Termination reason: Unknown
% 7.38/1.38 % (23789)Termination phase: Function definition elimination
% 7.38/1.38
% 7.38/1.38 % (23789)Memory used [KB]: 1535
% 7.38/1.38 % (23789)Time elapsed: 0.012 s
% 7.38/1.38 % (23789)Instructions burned: 44 (million)
% 7.38/1.38 % (23789)------------------------------
% 7.38/1.38 % (23789)------------------------------
% 7.38/1.38 % (23791)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 (2989ds/187Mi)
% 7.38/1.42 % (23791)Instruction limit reached!
% 7.38/1.42 % (23791)------------------------------
% 7.38/1.42 % (23791)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 7.38/1.42 % (23791)Termination reason: Unknown
% 7.38/1.42 % (23791)Termination phase: Saturation
% 7.38/1.42
% 7.38/1.42 % (23791)Memory used [KB]: 6780
% 7.38/1.42 % (23791)Time elapsed: 0.042 s
% 7.38/1.42 % (23791)Instructions burned: 189 (million)
% 7.38/1.42 % (23791)------------------------------
% 7.38/1.42 % (23791)------------------------------
% 7.38/1.43 % (23790)First to succeed.
% 7.38/1.43 % (23792)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 (2989ds/371Mi)
% 7.38/1.44 % (23790)Refutation found. Thanks to Tanya!
% 7.38/1.44 % SZS status Theorem for theBenchmark
% 7.38/1.44 % SZS output start Proof for theBenchmark
% 7.38/1.44 thf(func_def_0, type, c_Eps_i: ($i > $o) > $i).
% 7.38/1.44 thf(func_def_3, type, c_not: $o > $o).
% 7.38/1.44 thf(func_def_4, type, c_and: $o > $o > $o).
% 7.38/1.44 thf(func_def_5, type, c_or: $o > $o > $o).
% 7.38/1.44 thf(func_def_6, type, c_iff: $o > $o > $o).
% 7.38/1.44 thf(func_def_7, type, c_In: $i > $i > $o).
% 7.38/1.44 thf(func_def_8, type, c_Subq: $i > $i > $o).
% 7.38/1.44 thf(func_def_10, type, c_Union: $i > $i).
% 7.38/1.44 thf(func_def_11, type, c_Power: $i > $i).
% 7.38/1.44 thf(func_def_12, type, c_Repl: $i > ($i > $i) > $i).
% 7.38/1.44 thf(func_def_13, type, c_TransSet: $i > $o).
% 7.38/1.44 thf(func_def_14, type, c_atleast2: $i > $o).
% 7.38/1.44 thf(func_def_15, type, c_atleast3: $i > $o).
% 7.38/1.44 thf(func_def_16, type, c_atleast4: $i > $o).
% 7.38/1.44 thf(func_def_17, type, c_atleast5: $i > $o).
% 7.38/1.44 thf(func_def_18, type, c_atleast6: $i > $o).
% 7.38/1.44 thf(func_def_19, type, c_exactly2: $i > $o).
% 7.38/1.44 thf(func_def_20, type, c_exactly3: $i > $o).
% 7.38/1.44 thf(func_def_21, type, c_exactly4: $i > $o).
% 7.38/1.44 thf(func_def_22, type, c_exactly5: $i > $o).
% 7.38/1.44 thf(func_def_23, type, c_exu_i: ($i > $o) > $o).
% 7.38/1.44 thf(func_def_24, type, c_reflexive_i: ($i > $i > $o) > $o).
% 7.38/1.44 thf(func_def_25, type, c_irreflexive_i: ($i > $i > $o) > $o).
% 7.38/1.44 thf(func_def_26, type, c_symmetric_i: ($i > $i > $o) > $o).
% 7.38/1.44 thf(func_def_27, type, c_antisymmetric_i: ($i > $i > $o) > $o).
% 7.38/1.44 thf(func_def_28, type, c_transitive_i: ($i > $i > $o) > $o).
% 7.38/1.44 thf(func_def_29, type, c_eqreln_i: ($i > $i > $o) > $o).
% 7.38/1.44 thf(func_def_30, type, c_per_i: ($i > $i > $o) > $o).
% 7.38/1.44 thf(func_def_31, type, c_linear_i: ($i > $i > $o) > $o).
% 7.38/1.44 thf(func_def_32, type, c_trichotomous_or_i: ($i > $i > $o) > $o).
% 7.38/1.44 thf(func_def_33, type, c_partialorder_i: ($i > $i > $o) > $o).
% 7.38/1.44 thf(func_def_34, type, c_totalorder_i: ($i > $i > $o) > $o).
% 7.38/1.44 thf(func_def_35, type, c_strictpartialorder_i: ($i > $i > $o) > $o).
% 7.38/1.44 thf(func_def_36, type, c_stricttotalorder_i: ($i > $i > $o) > $o).
% 7.38/1.44 thf(func_def_37, type, c_If_i: $o > $i > $i > $i).
% 7.38/1.44 thf(func_def_38, type, c_exactly1of2: $o > $o > $o).
% 7.38/1.44 thf(func_def_39, type, c_exactly1of3: $o > $o > $o > $o).
% 7.38/1.44 thf(func_def_40, type, c_nIn: $i > $i > $o).
% 7.38/1.44 thf(func_def_41, type, c_nSubq: $i > $i > $o).
% 7.38/1.44 thf(func_def_42, type, c_UPair: $i > $i > $i).
% 7.38/1.44 thf(func_def_43, type, c_Sing: $i > $i).
% 7.38/1.44 thf(func_def_44, type, c_binunion: $i > $i > $i).
% 7.38/1.44 thf(func_def_45, type, c_SetAdjoin: $i > $i > $i).
% 7.38/1.44 thf(func_def_46, type, c_famunion: $i > ($i > $i) > $i).
% 7.38/1.44 thf(func_def_47, type, c_Sep: $i > ($i > $o) > $i).
% 7.38/1.44 thf(func_def_48, type, c_ReplSep: $i > ($i > $o) > ($i > $i) > $i).
% 7.38/1.44 thf(func_def_49, type, c_binintersect: $i > $i > $i).
% 7.38/1.44 thf(func_def_50, type, c_setminus: $i > $i > $i).
% 7.38/1.44 thf(func_def_51, type, c_inj: $i > $i > ($i > $i) > $o).
% 7.38/1.44 thf(func_def_52, type, c_bij: $i > $i > ($i > $i) > $o).
% 7.38/1.44 thf(func_def_53, type, c_atleastp: $i > $i > $o).
% 7.38/1.44 thf(func_def_54, type, c_equip: $i > $i > $o).
% 7.38/1.44 thf(func_def_55, type, c_In_rec_poly_G_i: ($i > ($i > $i) > $i) > $i > $i > $o).
% 7.38/1.44 thf(func_def_56, type, c_In_rec_poly_i: ($i > ($i > $i) > $i) > $i > $i).
% 7.38/1.44 thf(func_def_57, type, c_ordsucc: $i > $i).
% 7.38/1.44 thf(func_def_58, type, c_nat_p: $i > $o).
% 7.38/1.44 thf(func_def_59, type, c_nat_primrec: $i > ($i > $i > $i) > $i > $i).
% 7.38/1.44 thf(func_def_60, type, c_add_nat: $i > $i > $i).
% 7.38/1.44 thf(func_def_61, type, c_mul_nat: $i > $i > $i).
% 7.38/1.44 thf(func_def_62, type, c_ordinal: $i > $o).
% 7.38/1.44 thf(func_def_63, type, c_V_: $i > $i).
% 7.38/1.44 thf(func_def_64, type, c_Inj1: $i > $i).
% 7.38/1.44 thf(func_def_65, type, c_Inj0: $i > $i).
% 7.38/1.44 thf(func_def_66, type, c_Unj: $i > $i).
% 7.38/1.44 thf(func_def_67, type, c_combine_funcs: $i > $i > ($i > $i) > ($i > $i) > $i > $i).
% 7.38/1.44 thf(func_def_68, type, c_setsum: $i > $i > $i).
% 7.38/1.44 thf(func_def_69, type, c_proj0: $i > $i).
% 7.38/1.44 thf(func_def_70, type, c_proj1: $i > $i).
% 7.38/1.44 thf(func_def_71, type, c_binrep: $i > $i > $i).
% 7.38/1.44 thf(func_def_72, type, c_lam: $i > ($i > $i) > $i).
% 7.38/1.44 thf(func_def_73, type, c_setprod: $i > $i > $i).
% 7.38/1.44 thf(func_def_74, type, c_ap: $i > $i > $i).
% 7.38/1.44 thf(func_def_75, type, c_setsum_p: $i > $o).
% 7.38/1.44 thf(func_def_76, type, c_tuple_p: $i > $i > $o).
% 7.38/1.44 thf(func_def_77, type, c_Pi: $i > ($i > $i) > $i).
% 7.38/1.44 thf(func_def_78, type, c_setexp: $i > $i > $i).
% 7.38/1.44 thf(func_def_79, type, c_Sep2: $i > ($i > $i) > ($i > $i > $o) > $i).
% 7.38/1.44 thf(func_def_80, type, c_set_of_pairs: $i > $o).
% 7.38/1.44 thf(func_def_81, type, c_lam2: $i > ($i > $i) > ($i > $i > $i) > $i).
% 7.38/1.44 thf(func_def_82, type, c_PNoEq_: $i > ($i > $o) > ($i > $o) > $o).
% 7.38/1.44 thf(func_def_83, type, c_PNoLt_: $i > ($i > $o) > ($i > $o) > $o).
% 7.38/1.44 thf(func_def_84, type, c_PNoLt: $i > ($i > $o) > $i > ($i > $o) > $o).
% 7.38/1.44 thf(func_def_85, type, c_PNoLe: $i > ($i > $o) > $i > ($i > $o) > $o).
% 7.38/1.44 thf(func_def_86, type, c_PNo_downc: ($i > ($i > $o) > $o) > $i > ($i > $o) > $o).
% 7.38/1.44 thf(func_def_87, type, c_PNo_upc: ($i > ($i > $o) > $o) > $i > ($i > $o) > $o).
% 7.38/1.44 thf(func_def_88, type, c_SNoElts_: $i > $i).
% 7.38/1.44 thf(func_def_89, type, c_SNo_: $i > $i > $o).
% 7.38/1.44 thf(func_def_90, type, c_PSNo: $i > ($i > $o) > $i).
% 7.38/1.44 thf(func_def_91, type, c_SNo: $i > $o).
% 7.38/1.44 thf(func_def_92, type, c_SNoLev: $i > $i).
% 7.38/1.44 thf(func_def_93, type, c_SNoEq_: $i > $i > $i > $o).
% 7.38/1.44 thf(func_def_94, type, c_SNoLt: $i > $i > $o).
% 7.38/1.44 thf(func_def_95, type, c_SNoLe: $i > $i > $o).
% 7.38/1.44 thf(func_def_96, type, c_binop_on: $i > ($i > $i > $i) > $o).
% 7.38/1.44 thf(func_def_97, type, c_Loop: $i > ($i > $i > $i) > ($i > $i > $i) > ($i > $i > $i) > $i > $o).
% 7.38/1.44 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).
% 7.38/1.44 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).
% 7.38/1.44 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).
% 7.38/1.44 thf(func_def_101, type, c_combinator: $i > $o).
% 7.38/1.44 thf(func_def_102, type, c_combinator_equiv: $i > $i > $o).
% 7.38/1.44 thf(func_def_103, type, c_equip_mod: $i > $i > $i > $o).
% 7.38/1.44 thf(func_def_133, type, ph1: !>[X0: $tType]:(X0)).
% 7.38/1.44 thf(f584,plain,(
% 7.38/1.44 $false),
% 7.38/1.44 inference(avatar_sat_refutation,[],[f462,f485,f557,f581])).
% 7.38/1.44 thf(f581,plain,(
% 7.38/1.44 ~spl0_1),
% 7.38/1.44 inference(avatar_contradiction_clause,[],[f580])).
% 7.38/1.44 thf(f580,plain,(
% 7.38/1.44 $false | ~spl0_1),
% 7.38/1.44 inference(trivial_inequality_removal,[],[f571])).
% 7.38/1.44 thf(f571,plain,(
% 7.38/1.44 ($true = $false) | ~spl0_1),
% 7.38/1.44 inference(superposition,[],[f433,f454])).
% 7.38/1.44 thf(f454,plain,(
% 7.38/1.44 ( ! [X3 : $o] : (($true = X3)) ) | ~spl0_1),
% 7.38/1.44 inference(avatar_component_clause,[],[f453])).
% 7.38/1.44 thf(f453,plain,(
% 7.38/1.44 spl0_1 <=> ! [X3 : $o] : ($true = X3)),
% 7.38/1.44 introduced(avatar_definition,[new_symbols(naming,[spl0_1])])).
% 7.38/1.44 thf(f433,plain,(
% 7.38/1.44 (c_False = $false)),
% 7.38/1.44 inference(binary_proxy_clausification,[],[f432])).
% 7.38/1.44 thf(f432,plain,(
% 7.38/1.44 ($false = ((!! @ ($i > $o) @ (^[Y0 : $i > $o]: (!! @ ($i > $i) @ (^[Y1 : $i > $i]: (!! @ $o @ (^[Y2 : $o]: (((((Y0 @ (Y1 @ (c_Eps_i @ (^[Y3 : $i]: (c_or @ (!! @ $o @ (^[Y4 : $o]: (((?? @ $i @ (^[Y5 : $i]: (!! @ $o @ (^[Y6 : $o]: (((c_In @ Y5 @ (Y1 @ (c_Power @ c_Empty))) => ((c_In @ Y5 @ (Y1 @ (c_setsum @ (c_Power @ (c_Power @ (c_Power @ c_Empty))) @ (c_Power @ c_Empty)))) => Y6)) => Y6))))) => (((c_Repl @ (Y1 @ (c_Power @ c_Empty)) @ (^[Y5 : $i]: (c_Eps_i @ (^[Y6 : $i]: (c_or @ (!! @ $o @ (^[Y7 : $o]: (((c_In @ Y5 @ (Y1 @ (c_setsum @ (c_Power @ (c_Power @ (c_Power @ c_Empty))) @ (c_Power @ c_Empty)))) => ((Y5 = Y6) => Y7)) => Y7))) @ (!! @ $o @ (^[Y7 : $o]: ((((c_In @ Y5 @ (Y1 @ (c_setsum @ (c_Power @ (c_Power @ (c_Power @ c_Empty))) @ (c_Power @ c_Empty)))) => c_False) => (((c_Eps_i @ (^[Y8 : $i]: (!! @ $o @ (^[Y9 : $o]: (((c_In @ Y8 @ (Y1 @ (c_Power @ c_Empty))) => ((c_In @ Y8 @ (Y1 @ (c_setsum @ (c_Power @ (c_Power @ (c_Power @ c_Empty))) @ (c_Power @ c_Empty)))) => Y9)) => Y9))))) = Y6) => Y7)) => Y7)))))))) = Y3) => Y4)) => Y4))) @ (!! @ $o @ (^[Y4 : $o]: ((((?? @ $i @ (^[Y5 : $i]: (!! @ $o @ (^[Y6 : $o]: (((c_In @ Y5 @ (Y1 @ (c_Power @ c_Empty))) => ((c_In @ Y5 @ (Y1 @ (c_setsum @ (c_Power @ (c_Power @ (c_Power @ c_Empty))) @ (c_Power @ c_Empty)))) => Y6)) => Y6))))) => c_False) => ((c_Empty = Y3) => Y4)) => Y4)))))))) => ((!! @ $i @ (^[Y3 : $i]: ((c_In @ Y3 @ (Y1 @ c_Empty)) => (!! @ $i @ (^[Y4 : $i]: ((c_In @ Y4 @ Y3) => (c_In @ Y4 @ (Y1 @ c_Empty)))))))) => (!! @ $i @ (^[Y3 : $i]: ((c_In @ Y3 @ c_Empty) => (?? @ $i @ (^[Y4 : $i]: (!! @ $o @ (^[Y5 : $o]: (((!! @ $i @ (^[Y6 : $i]: ((c_In @ Y6 @ Y4) => (c_In @ Y6 @ Y3)))) => ((!! @ $o @ (^[Y6 : $o]: (((?? @ $i @ (^[Y7 : $i]: (!! @ $o @ (^[Y8 : $o]: (((c_In @ Y7 @ (c_binunion @ (Y1 @ Y4) @ (c_Sing @ (Y1 @ Y4)))) => (((!! @ $i @ (^[Y9 : $i]: ((c_In @ Y9 @ (c_binunion @ (Y1 @ Y4) @ (c_Sing @ (Y1 @ Y4)))) => (c_In @ Y9 @ (c_Power @ Y7))))) => c_False) => Y8)) => Y8))))) => (((?? @ $i @ (^[Y7 : $i]: (!! @ $o @ (^[Y8 : $o]: (((!! @ $i @ (^[Y9 : $i]: ((c_In @ Y9 @ Y7) => (c_In @ Y9 @ (c_binunion @ (Y1 @ Y4) @ (c_Sing @ (Y1 @ Y4))))))) => ((!! @ $o @ (^[Y9 : $o]: ((((!! @ $i @ (^[Y10 : $i]: ((c_In @ Y10 @ (c_binunion @ (Y1 @ Y4) @ (c_Sing @ (Y1 @ Y4)))) => (c_In @ Y10 @ Y7)))) => c_False) => ((?? @ $i @ (^[Y10 : $i]: (!! @ $o @ (^[Y11 : $o]: (((c_In @ Y10 @ Y7) => (((!! @ $i @ (^[Y12 : $i]: ((c_In @ Y12 @ Y7) => (c_In @ Y12 @ (c_Power @ Y10))))) => c_False) => Y11)) => Y11))))) => Y9)) => Y9))) => Y8)) => Y8))))) => c_False) => Y6)) => Y6))) => Y5)) => Y5)))))))))) => (?? @ $i @ (^[Y3 : $i]: (!! @ $o @ (^[Y4 : $o]: (((?? @ $i @ (^[Y5 : $i]: (!! @ $o @ (^[Y6 : $o]: (((!! @ $i @ (^[Y7 : $i]: ((c_In @ Y7 @ Y5) => (c_In @ Y7 @ Y3)))) => ((((Y1 @ Y3) = Y3) => (?? @ $i @ (^[Y7 : $i]: (!! @ $o @ (^[Y8 : $o]: (((!! @ $i @ (^[Y9 : $i]: ((c_In @ Y9 @ Y7) => (c_In @ Y9 @ Y3)))) => (((Y0 @ (c_lam @ Y5 @ (^[Y9 : $i]: (c_setsum @ (c_Power @ (c_setsum @ (c_Power @ (c_Power @ c_Empty)) @ (c_Power @ c_Empty))) @ (c_Power @ (c_Power @ (c_Power @ c_Empty))))))) => c_False) => Y8)) => Y8)))))) => Y6)) => Y6))))) => (((?? @ $i @ (^[Y5 : $i]: (!! @ $o @ (^[Y6 : $o]: (((!! @ $o @ (^[Y7 : $o]: (((!! @ $i @ (^[Y8 : $i]: ((c_In @ Y8 @ Y5) => (!! @ $i @ (^[Y9 : $i]: ((c_In @ Y9 @ Y8) => (c_In @ Y9 @ Y5))))))) => ((!! @ $i @ (^[Y8 : $i]: ((c_In @ Y8 @ Y5) => (!! @ $i @ (^[Y9 : $i]: ((c_In @ Y9 @ Y8) => (!! @ $i @ (^[Y10 : $i]: ((c_In @ Y10 @ Y9) => (c_In @ Y10 @ Y8)))))))))) => Y7)) => Y7))) => ((!! @ $o @ (^[Y7 : $o]: (((!! @ $i @ (^[Y8 : $i]: ((c_In @ Y8 @ Y3) => (c_In @ Y8 @ (c_binunion @ Y5 @ (c_Repl @ Y5 @ (^[Y9 : $i]: (c_SetAdjoin @ Y9 @ (c_Sing @ (c_binunion @ c_Empty @ (c_Sing @ c_Empty))))))))))) => ((!! @ $i @ (^[Y8 : $i]: ((c_In @ Y8 @ Y5) => (c_or @ (!! @ $o @ (^[Y9 : $o]: (((c_In @ (c_SetAdjoin @ Y8 @ (c_Sing @ (c_binunion @ c_Empty @ (c_Sing @ c_Empty)))) @ Y3) => (((c_In @ Y8 @ Y3) => c_False) => Y9)) => Y9))) @ (!! @ $o @ (^[Y9 : $o]: ((((c_In @ (c_SetAdjoin @ Y8 @ (c_Sing @ (c_binunion @ c_Empty @ (c_Sing @ c_Empty)))) @ Y3) => c_False) => ((c_In @ Y8 @ Y3) => Y9)) => Y9))))))) => Y7)) => Y7))) => Y6)) => Y6))))) => c_False) => Y4)) => Y4)))))) => (((Y0 @ (Y1 @ (Y1 @ (Y1 @ (c_setsum @ (c_setsum @ (c_Power @ (c_setsum @ (c_Power @ (c_Power @ c_Empty)) @ (c_Power @ c_Empty))) @ (c_Power @ (c_Power @ c_Empty))) @ (c_Power @ c_Empty)))))) => c_False) => Y2)) => Y2))))))) => c_False))),
% 7.38/1.44 inference(not_proxy_clausification,[],[f431])).
% 7.38/1.44 thf(f431,plain,(
% 7.38/1.44 ((~ ((!! @ ($i > $o) @ (^[Y0 : $i > $o]: (!! @ ($i > $i) @ (^[Y1 : $i > $i]: (!! @ $o @ (^[Y2 : $o]: (((((Y0 @ (Y1 @ (c_Eps_i @ (^[Y3 : $i]: (c_or @ (!! @ $o @ (^[Y4 : $o]: (((?? @ $i @ (^[Y5 : $i]: (!! @ $o @ (^[Y6 : $o]: (((c_In @ Y5 @ (Y1 @ (c_Power @ c_Empty))) => ((c_In @ Y5 @ (Y1 @ (c_setsum @ (c_Power @ (c_Power @ (c_Power @ c_Empty))) @ (c_Power @ c_Empty)))) => Y6)) => Y6))))) => (((c_Repl @ (Y1 @ (c_Power @ c_Empty)) @ (^[Y5 : $i]: (c_Eps_i @ (^[Y6 : $i]: (c_or @ (!! @ $o @ (^[Y7 : $o]: (((c_In @ Y5 @ (Y1 @ (c_setsum @ (c_Power @ (c_Power @ (c_Power @ c_Empty))) @ (c_Power @ c_Empty)))) => ((Y5 = Y6) => Y7)) => Y7))) @ (!! @ $o @ (^[Y7 : $o]: ((((c_In @ Y5 @ (Y1 @ (c_setsum @ (c_Power @ (c_Power @ (c_Power @ c_Empty))) @ (c_Power @ c_Empty)))) => c_False) => (((c_Eps_i @ (^[Y8 : $i]: (!! @ $o @ (^[Y9 : $o]: (((c_In @ Y8 @ (Y1 @ (c_Power @ c_Empty))) => ((c_In @ Y8 @ (Y1 @ (c_setsum @ (c_Power @ (c_Power @ (c_Power @ c_Empty))) @ (c_Power @ c_Empty)))) => Y9)) => Y9))))) = Y6) => Y7)) => Y7)))))))) = Y3) => Y4)) => Y4))) @ (!! @ $o @ (^[Y4 : $o]: ((((?? @ $i @ (^[Y5 : $i]: (!! @ $o @ (^[Y6 : $o]: (((c_In @ Y5 @ (Y1 @ (c_Power @ c_Empty))) => ((c_In @ Y5 @ (Y1 @ (c_setsum @ (c_Power @ (c_Power @ (c_Power @ c_Empty))) @ (c_Power @ c_Empty)))) => Y6)) => Y6))))) => c_False) => ((c_Empty = Y3) => Y4)) => Y4)))))))) => ((!! @ $i @ (^[Y3 : $i]: ((c_In @ Y3 @ (Y1 @ c_Empty)) => (!! @ $i @ (^[Y4 : $i]: ((c_In @ Y4 @ Y3) => (c_In @ Y4 @ (Y1 @ c_Empty)))))))) => (!! @ $i @ (^[Y3 : $i]: ((c_In @ Y3 @ c_Empty) => (?? @ $i @ (^[Y4 : $i]: (!! @ $o @ (^[Y5 : $o]: (((!! @ $i @ (^[Y6 : $i]: ((c_In @ Y6 @ Y4) => (c_In @ Y6 @ Y3)))) => ((!! @ $o @ (^[Y6 : $o]: (((?? @ $i @ (^[Y7 : $i]: (!! @ $o @ (^[Y8 : $o]: (((c_In @ Y7 @ (c_binunion @ (Y1 @ Y4) @ (c_Sing @ (Y1 @ Y4)))) => (((!! @ $i @ (^[Y9 : $i]: ((c_In @ Y9 @ (c_binunion @ (Y1 @ Y4) @ (c_Sing @ (Y1 @ Y4)))) => (c_In @ Y9 @ (c_Power @ Y7))))) => c_False) => Y8)) => Y8))))) => (((?? @ $i @ (^[Y7 : $i]: (!! @ $o @ (^[Y8 : $o]: (((!! @ $i @ (^[Y9 : $i]: ((c_In @ Y9 @ Y7) => (c_In @ Y9 @ (c_binunion @ (Y1 @ Y4) @ (c_Sing @ (Y1 @ Y4))))))) => ((!! @ $o @ (^[Y9 : $o]: ((((!! @ $i @ (^[Y10 : $i]: ((c_In @ Y10 @ (c_binunion @ (Y1 @ Y4) @ (c_Sing @ (Y1 @ Y4)))) => (c_In @ Y10 @ Y7)))) => c_False) => ((?? @ $i @ (^[Y10 : $i]: (!! @ $o @ (^[Y11 : $o]: (((c_In @ Y10 @ Y7) => (((!! @ $i @ (^[Y12 : $i]: ((c_In @ Y12 @ Y7) => (c_In @ Y12 @ (c_Power @ Y10))))) => c_False) => Y11)) => Y11))))) => Y9)) => Y9))) => Y8)) => Y8))))) => c_False) => Y6)) => Y6))) => Y5)) => Y5)))))))))) => (?? @ $i @ (^[Y3 : $i]: (!! @ $o @ (^[Y4 : $o]: (((?? @ $i @ (^[Y5 : $i]: (!! @ $o @ (^[Y6 : $o]: (((!! @ $i @ (^[Y7 : $i]: ((c_In @ Y7 @ Y5) => (c_In @ Y7 @ Y3)))) => ((((Y1 @ Y3) = Y3) => (?? @ $i @ (^[Y7 : $i]: (!! @ $o @ (^[Y8 : $o]: (((!! @ $i @ (^[Y9 : $i]: ((c_In @ Y9 @ Y7) => (c_In @ Y9 @ Y3)))) => (((Y0 @ (c_lam @ Y5 @ (^[Y9 : $i]: (c_setsum @ (c_Power @ (c_setsum @ (c_Power @ (c_Power @ c_Empty)) @ (c_Power @ c_Empty))) @ (c_Power @ (c_Power @ (c_Power @ c_Empty))))))) => c_False) => Y8)) => Y8)))))) => Y6)) => Y6))))) => (((?? @ $i @ (^[Y5 : $i]: (!! @ $o @ (^[Y6 : $o]: (((!! @ $o @ (^[Y7 : $o]: (((!! @ $i @ (^[Y8 : $i]: ((c_In @ Y8 @ Y5) => (!! @ $i @ (^[Y9 : $i]: ((c_In @ Y9 @ Y8) => (c_In @ Y9 @ Y5))))))) => ((!! @ $i @ (^[Y8 : $i]: ((c_In @ Y8 @ Y5) => (!! @ $i @ (^[Y9 : $i]: ((c_In @ Y9 @ Y8) => (!! @ $i @ (^[Y10 : $i]: ((c_In @ Y10 @ Y9) => (c_In @ Y10 @ Y8)))))))))) => Y7)) => Y7))) => ((!! @ $o @ (^[Y7 : $o]: (((!! @ $i @ (^[Y8 : $i]: ((c_In @ Y8 @ Y3) => (c_In @ Y8 @ (c_binunion @ Y5 @ (c_Repl @ Y5 @ (^[Y9 : $i]: (c_SetAdjoin @ Y9 @ (c_Sing @ (c_binunion @ c_Empty @ (c_Sing @ c_Empty))))))))))) => ((!! @ $i @ (^[Y8 : $i]: ((c_In @ Y8 @ Y5) => (c_or @ (!! @ $o @ (^[Y9 : $o]: (((c_In @ (c_SetAdjoin @ Y8 @ (c_Sing @ (c_binunion @ c_Empty @ (c_Sing @ c_Empty)))) @ Y3) => (((c_In @ Y8 @ Y3) => c_False) => Y9)) => Y9))) @ (!! @ $o @ (^[Y9 : $o]: ((((c_In @ (c_SetAdjoin @ Y8 @ (c_Sing @ (c_binunion @ c_Empty @ (c_Sing @ c_Empty)))) @ Y3) => c_False) => ((c_In @ Y8 @ Y3) => Y9)) => Y9))))))) => Y7)) => Y7))) => Y6)) => Y6))))) => c_False) => Y4)) => Y4)))))) => (((Y0 @ (Y1 @ (Y1 @ (Y1 @ (c_setsum @ (c_setsum @ (c_Power @ (c_setsum @ (c_Power @ (c_Power @ c_Empty)) @ (c_Power @ c_Empty))) @ (c_Power @ (c_Power @ c_Empty))) @ (c_Power @ c_Empty)))))) => c_False) => Y2)) => Y2))))))) => c_False)) = $true)),
% 7.38/1.44 inference(beta_eta_normalization,[],[f420])).
% 7.38/1.44 thf(f420,plain,(
% 7.38/1.44 ($true = (~ ((^[Y0 : $o]: (Y0 => c_False)) @ (!! @ ($i > $o) @ (^[Y0 : $i > $o]: (!! @ ($i > $i) @ (^[Y1 : $i > $i]: ((^[Y2 : $o]: ((^[Y3 : $o]: (!! @ $o @ (^[Y4 : $o]: ((Y2 => (Y3 => Y4)) => Y4)))))) @ (((Y0 @ (Y1 @ ((^[Y2 : $i]: ((^[Y3 : $i]: ((^[Y4 : $i]: ((^[Y5 : $i > $o]: ((^[Y6 : $o]: ((^[Y7 : $i]: ((^[Y8 : $i]: (c_Eps_i @ (^[Y9 : $i]: (c_or @ ((^[Y10 : $o]: ((^[Y11 : $o]: (!! @ $o @ (^[Y12 : $o]: ((Y10 => (Y11 => Y12)) => Y12)))))) @ Y6 @ (Y7 = Y9)) @ ((^[Y10 : $o]: ((^[Y11 : $o]: (!! @ $o @ (^[Y12 : $o]: ((Y10 => (Y11 => Y12)) => Y12)))))) @ ((^[Y10 : $o]: (Y10 => c_False)) @ Y6) @ (Y8 = Y9)))))))))) @ (?? @ $i @ (^[Y6 : $i]: ((^[Y7 : $o]: ((^[Y8 : $o]: (!! @ $o @ (^[Y9 : $o]: ((Y7 => (Y8 => Y9)) => Y9)))))) @ (c_In @ Y6 @ Y4) @ (Y5 @ Y6)))) @ (c_Repl @ Y4 @ (^[Y6 : $i]: ((^[Y7 : $i]: ((^[Y8 : $o]: ((^[Y9 : $i]: ((^[Y10 : $i]: (c_Eps_i @ (^[Y11 : $i]: (c_or @ ((^[Y12 : $o]: ((^[Y13 : $o]: (!! @ $o @ (^[Y14 : $o]: ((Y12 => (Y13 => Y14)) => Y14)))))) @ Y8 @ (Y9 = Y11)) @ ((^[Y12 : $o]: ((^[Y13 : $o]: (!! @ $o @ (^[Y14 : $o]: ((Y12 => (Y13 => Y14)) => Y14)))))) @ ((^[Y12 : $o]: (Y12 => c_False)) @ Y8) @ (Y10 = Y11)))))))))) @ (Y5 @ Y7) @ Y7 @ (c_Eps_i @ (^[Y8 : $i]: ((^[Y9 : $o]: ((^[Y10 : $o]: (!! @ $o @ (^[Y11 : $o]: ((Y9 => (Y10 => Y11)) => Y11)))))) @ (c_In @ Y8 @ Y4) @ (Y5 @ Y8)))))) @ Y6))) @ c_Empty)))) @ Y2 @ (^[Y4 : $i]: (c_In @ Y4 @ Y3)))))) @ (Y1 @ (c_Power @ c_Empty)) @ (Y1 @ ((^[Y2 : $i]: ((^[Y3 : $i]: (c_setsum @ Y2 @ (c_Power @ Y3))))) @ (c_Power @ (c_Power @ (c_Power @ c_Empty))) @ c_Empty))))) => (((^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: ((c_In @ Y3 @ Y2) => ((^[Y4 : $i]: ((^[Y5 : $i]: (!! @ $i @ (^[Y6 : $i]: ((c_In @ Y6 @ Y4) => (c_In @ Y6 @ Y5))))))) @ Y3 @ Y2))))) @ (Y1 @ c_Empty)) => (!! @ $i @ (^[Y2 : $i]: ((c_In @ Y2 @ c_Empty) => (?? @ $i @ (^[Y3 : $i]: ((^[Y4 : $o]: ((^[Y5 : $o]: (!! @ $o @ (^[Y6 : $o]: ((Y4 => (Y5 => Y6)) => Y6)))))) @ ((^[Y4 : $i]: ((^[Y5 : $i]: (!! @ $i @ (^[Y6 : $i]: ((c_In @ Y6 @ Y4) => (c_In @ Y6 @ Y5))))))) @ Y3 @ Y2) @ ((^[Y4 : $i]: ((^[Y5 : $o]: ((^[Y6 : $o]: (!! @ $o @ (^[Y7 : $o]: ((Y5 => (Y6 => Y7)) => Y7)))))) @ ((^[Y5 : $i]: (?? @ $i @ (^[Y6 : $i]: ((^[Y7 : $o]: ((^[Y8 : $o]: (!! @ $o @ (^[Y9 : $o]: ((Y7 => (Y8 => Y9)) => Y9)))))) @ (c_In @ Y6 @ Y5) @ ((^[Y7 : $o]: (Y7 => c_False)) @ ((^[Y7 : $i]: ((^[Y8 : $i]: (!! @ $i @ (^[Y9 : $i]: ((c_In @ Y9 @ Y7) => (c_In @ Y9 @ Y8))))))) @ Y5 @ (c_Power @ Y6))))))) @ Y4) @ ((^[Y5 : $o]: (Y5 => c_False)) @ ((^[Y5 : $i]: (?? @ $i @ (^[Y6 : $i]: ((^[Y7 : $o]: ((^[Y8 : $o]: (!! @ $o @ (^[Y9 : $o]: ((Y7 => (Y8 => Y9)) => Y9)))))) @ ((^[Y7 : $i]: ((^[Y8 : $i]: (!! @ $i @ (^[Y9 : $i]: ((c_In @ Y9 @ Y7) => (c_In @ Y9 @ Y8))))))) @ Y6 @ Y5) @ ((^[Y7 : $o]: ((^[Y8 : $o]: (!! @ $o @ (^[Y9 : $o]: ((Y7 => (Y8 => Y9)) => Y9)))))) @ ((^[Y7 : $o]: (Y7 => c_False)) @ ((^[Y7 : $i]: ((^[Y8 : $i]: (!! @ $i @ (^[Y9 : $i]: ((c_In @ Y9 @ Y7) => (c_In @ Y9 @ Y8))))))) @ Y5 @ Y6)) @ ((^[Y7 : $i]: (?? @ $i @ (^[Y8 : $i]: ((^[Y9 : $o]: ((^[Y10 : $o]: (!! @ $o @ (^[Y11 : $o]: ((Y9 => (Y10 => Y11)) => Y11)))))) @ (c_In @ Y8 @ Y7) @ ((^[Y9 : $o]: (Y9 => c_False)) @ ((^[Y9 : $i]: ((^[Y10 : $i]: (!! @ $i @ (^[Y11 : $i]: ((c_In @ Y11 @ Y9) => (c_In @ Y11 @ Y10))))))) @ Y7 @ (c_Power @ Y8))))))) @ Y6)))))) @ Y4)))) @ ((^[Y4 : $i]: (c_binunion @ Y4 @ (c_Sing @ Y4))) @ (Y1 @ Y3))))))))))) => (?? @ $i @ (^[Y2 : $i]: ((^[Y3 : $o]: ((^[Y4 : $o]: (!! @ $o @ (^[Y5 : $o]: ((Y3 => (Y4 => Y5)) => Y5)))))) @ (?? @ $i @ (^[Y3 : $i]: ((^[Y4 : $o]: ((^[Y5 : $o]: (!! @ $o @ (^[Y6 : $o]: ((Y4 => (Y5 => Y6)) => Y6)))))) @ ((^[Y4 : $i]: ((^[Y5 : $i]: (!! @ $i @ (^[Y6 : $i]: ((c_In @ Y6 @ Y4) => (c_In @ Y6 @ Y5))))))) @ Y3 @ Y2) @ (((Y1 @ Y2) = Y2) => (?? @ $i @ (^[Y4 : $i]: ((^[Y5 : $o]: ((^[Y6 : $o]: (!! @ $o @ (^[Y7 : $o]: ((Y5 => (Y6 => Y7)) => Y7)))))) @ ((^[Y5 : $i]: ((^[Y6 : $i]: (!! @ $i @ (^[Y7 : $i]: ((c_In @ Y7 @ Y5) => (c_In @ Y7 @ Y6))))))) @ Y4 @ Y2) @ ((^[Y5 : $o]: (Y5 => c_False)) @ (Y0 @ ((^[Y5 : $i]: ((^[Y6 : $i]: (c_lam @ Y5 @ (^[Y7 : $i]: (Y6)))))) @ Y3 @ ((^[Y5 : $i]: ((^[Y6 : $i]: (c_setsum @ Y5 @ (c_Power @ Y6))))) @ (c_Power @ ((^[Y5 : $i]: ((^[Y6 : $i]: (c_setsum @ Y5 @ (c_Power @ Y6))))) @ (c_Power @ (c_Power @ c_Empty)) @ c_Empty)) @ (c_Power @ (c_Power @ c_Empty))))))))))))) @ ((^[Y3 : $o]: (Y3 => c_False)) @ ((^[Y3 : $i]: (?? @ $i @ (^[Y4 : $i]: ((^[Y5 : $o]: ((^[Y6 : $o]: (!! @ $o @ (^[Y7 : $o]: ((Y5 => (Y6 => Y7)) => Y7)))))) @ ((^[Y5 : $i]: ((^[Y6 : $o]: ((^[Y7 : $o]: (!! @ $o @ (^[Y8 : $o]: ((Y6 => (Y7 => Y8)) => Y8)))))) @ ((^[Y6 : $i]: (!! @ $i @ (^[Y7 : $i]: ((c_In @ Y7 @ Y6) => ((^[Y8 : $i]: ((^[Y9 : $i]: (!! @ $i @ (^[Y10 : $i]: ((c_In @ Y10 @ Y8) => (c_In @ Y10 @ Y9))))))) @ Y7 @ Y6))))) @ Y5) @ (!! @ $i @ (^[Y6 : $i]: ((c_In @ Y6 @ Y5) => ((^[Y7 : $i]: (!! @ $i @ (^[Y8 : $i]: ((c_In @ Y8 @ Y7) => ((^[Y9 : $i]: ((^[Y10 : $i]: (!! @ $i @ (^[Y11 : $i]: ((c_In @ Y11 @ Y9) => (c_In @ Y11 @ Y10))))))) @ Y8 @ Y7))))) @ Y6)))))) @ Y4) @ ((^[Y5 : $i]: ((^[Y6 : $i]: ((^[Y7 : $o]: ((^[Y8 : $o]: (!! @ $o @ (^[Y9 : $o]: ((Y7 => (Y8 => Y9)) => Y9)))))) @ ((^[Y7 : $i]: ((^[Y8 : $i]: (!! @ $i @ (^[Y9 : $i]: ((c_In @ Y9 @ Y7) => (c_In @ Y9 @ Y8))))))) @ Y6 @ ((^[Y7 : $i]: (c_binunion @ Y7 @ (c_Repl @ Y7 @ (^[Y8 : $i]: ((^[Y9 : $i]: (c_SetAdjoin @ Y9 @ (c_Sing @ ((^[Y10 : $i]: (c_binunion @ Y10 @ (c_Sing @ Y10))) @ c_Empty)))) @ Y8))))) @ Y5)) @ (!! @ $i @ (^[Y7 : $i]: ((c_In @ Y7 @ Y5) => ((^[Y8 : $o]: ((^[Y9 : $o]: (c_or @ ((^[Y10 : $o]: ((^[Y11 : $o]: (!! @ $o @ (^[Y12 : $o]: ((Y10 => (Y11 => Y12)) => Y12)))))) @ Y8 @ ((^[Y10 : $o]: (Y10 => c_False)) @ Y9)) @ ((^[Y10 : $o]: ((^[Y11 : $o]: (!! @ $o @ (^[Y12 : $o]: ((Y10 => (Y11 => Y12)) => Y12)))))) @ ((^[Y10 : $o]: (Y10 => c_False)) @ Y8) @ Y9))))) @ (c_In @ ((^[Y8 : $i]: (c_SetAdjoin @ Y8 @ (c_Sing @ ((^[Y9 : $i]: (c_binunion @ Y9 @ (c_Sing @ Y9))) @ c_Empty)))) @ Y7) @ Y6) @ (c_In @ Y7 @ Y6))))))))) @ Y4 @ Y3))))) @ Y2)))))) @ ((^[Y2 : $o]: (Y2 => c_False)) @ (Y0 @ (Y1 @ (Y1 @ (Y1 @ ((^[Y2 : $i]: ((^[Y3 : $i]: (c_setsum @ Y2 @ (c_Power @ Y3))))) @ ((^[Y2 : $i]: ((^[Y3 : $i]: (c_setsum @ Y2 @ (c_Power @ Y3))))) @ (c_Power @ ((^[Y2 : $i]: ((^[Y3 : $i]: (c_setsum @ Y2 @ (c_Power @ Y3))))) @ (c_Power @ (c_Power @ c_Empty)) @ c_Empty)) @ (c_Power @ c_Empty)) @ c_Empty))))))))))))))),
% 7.38/1.44 inference(definition_unfolding,[],[f340,f332,f293,f382,f361,f363,f293,f311,f369,f310,f293,f293,f311,f293,f311,f332,f353,f361,f361,f332,f408,f332,f361,f361,f361])).
% 7.38/1.44 thf(f408,plain,(
% 7.38/1.44 (c_SNo = (^[Y0 : $i]: (?? @ $i @ (^[Y1 : $i]: ((^[Y2 : $o]: ((^[Y3 : $o]: (!! @ $o @ (^[Y4 : $o]: ((Y2 => (Y3 => Y4)) => Y4)))))) @ ((^[Y2 : $i]: ((^[Y3 : $o]: ((^[Y4 : $o]: (!! @ $o @ (^[Y5 : $o]: ((Y3 => (Y4 => Y5)) => Y5)))))) @ ((^[Y3 : $i]: (!! @ $i @ (^[Y4 : $i]: ((c_In @ Y4 @ Y3) => ((^[Y5 : $i]: ((^[Y6 : $i]: (!! @ $i @ (^[Y7 : $i]: ((c_In @ Y7 @ Y5) => (c_In @ Y7 @ Y6))))))) @ Y4 @ Y3))))) @ Y2) @ (!! @ $i @ (^[Y3 : $i]: ((c_In @ Y3 @ Y2) => ((^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: ((c_In @ Y5 @ Y4) => ((^[Y6 : $i]: ((^[Y7 : $i]: (!! @ $i @ (^[Y8 : $i]: ((c_In @ Y8 @ Y6) => (c_In @ Y8 @ Y7))))))) @ Y5 @ Y4))))) @ Y3)))))) @ Y1) @ ((^[Y2 : $i]: ((^[Y3 : $i]: ((^[Y4 : $o]: ((^[Y5 : $o]: (!! @ $o @ (^[Y6 : $o]: ((Y4 => (Y5 => Y6)) => Y6)))))) @ ((^[Y4 : $i]: ((^[Y5 : $i]: (!! @ $i @ (^[Y6 : $i]: ((c_In @ Y6 @ Y4) => (c_In @ Y6 @ Y5))))))) @ Y3 @ ((^[Y4 : $i]: (c_binunion @ Y4 @ (c_Repl @ Y4 @ (^[Y5 : $i]: ((^[Y6 : $i]: (c_SetAdjoin @ Y6 @ (c_Sing @ ((^[Y7 : $i]: (c_binunion @ Y7 @ (c_Sing @ Y7))) @ c_Empty)))) @ Y5))))) @ Y2)) @ (!! @ $i @ (^[Y4 : $i]: ((c_In @ Y4 @ Y2) => ((^[Y5 : $o]: ((^[Y6 : $o]: (c_or @ ((^[Y7 : $o]: ((^[Y8 : $o]: (!! @ $o @ (^[Y9 : $o]: ((Y7 => (Y8 => Y9)) => Y9)))))) @ Y5 @ ((^[Y7 : $o]: (Y7 => c_False)) @ Y6)) @ ((^[Y7 : $o]: ((^[Y8 : $o]: (!! @ $o @ (^[Y9 : $o]: ((Y7 => (Y8 => Y9)) => Y9)))))) @ ((^[Y7 : $o]: (Y7 => c_False)) @ Y5) @ Y6))))) @ (c_In @ ((^[Y5 : $i]: (c_SetAdjoin @ Y5 @ (c_Sing @ ((^[Y6 : $i]: (c_binunion @ Y6 @ (c_Sing @ Y6))) @ c_Empty)))) @ Y4) @ Y3) @ (c_In @ Y4 @ Y3))))))))) @ Y1 @ Y0))))))),
% 7.38/1.44 inference(definition_unfolding,[],[f325,f293,f390,f406])).
% 7.38/1.44 thf(f406,plain,(
% 7.38/1.44 (c_SNo_ = (^[Y0 : $i]: ((^[Y1 : $i]: ((^[Y2 : $o]: ((^[Y3 : $o]: (!! @ $o @ (^[Y4 : $o]: ((Y2 => (Y3 => Y4)) => Y4)))))) @ ((^[Y2 : $i]: ((^[Y3 : $i]: (!! @ $i @ (^[Y4 : $i]: ((c_In @ Y4 @ Y2) => (c_In @ Y4 @ Y3))))))) @ Y1 @ ((^[Y2 : $i]: (c_binunion @ Y2 @ (c_Repl @ Y2 @ (^[Y3 : $i]: ((^[Y4 : $i]: (c_SetAdjoin @ Y4 @ (c_Sing @ ((^[Y5 : $i]: (c_binunion @ Y5 @ (c_Sing @ Y5))) @ c_Empty)))) @ Y3))))) @ Y0)) @ (!! @ $i @ (^[Y2 : $i]: ((c_In @ Y2 @ Y0) => ((^[Y3 : $o]: ((^[Y4 : $o]: (c_or @ ((^[Y5 : $o]: ((^[Y6 : $o]: (!! @ $o @ (^[Y7 : $o]: ((Y5 => (Y6 => Y7)) => Y7)))))) @ Y3 @ ((^[Y5 : $o]: (Y5 => c_False)) @ Y4)) @ ((^[Y5 : $o]: ((^[Y6 : $o]: (!! @ $o @ (^[Y7 : $o]: ((Y5 => (Y6 => Y7)) => Y7)))))) @ ((^[Y5 : $o]: (Y5 => c_False)) @ Y3) @ Y4))))) @ (c_In @ ((^[Y3 : $i]: (c_SetAdjoin @ Y3 @ (c_Sing @ ((^[Y4 : $i]: (c_binunion @ Y4 @ (c_Sing @ Y4))) @ c_Empty)))) @ Y2) @ Y1) @ (c_In @ Y2 @ Y1))))))))))),
% 7.38/1.44 inference(definition_unfolding,[],[f352,f293,f311,f405,f376,f310])).
% 7.38/1.44 thf(f376,plain,(
% 7.38/1.44 (c_exactly1of2 = (^[Y0 : $o]: ((^[Y1 : $o]: (c_or @ ((^[Y2 : $o]: ((^[Y3 : $o]: (!! @ $o @ (^[Y4 : $o]: ((Y2 => (Y3 => Y4)) => Y4)))))) @ Y0 @ ((^[Y2 : $o]: (Y2 => c_False)) @ Y1)) @ ((^[Y2 : $o]: ((^[Y3 : $o]: (!! @ $o @ (^[Y4 : $o]: ((Y2 => (Y3 => Y4)) => Y4)))))) @ ((^[Y2 : $o]: (Y2 => c_False)) @ Y0) @ Y1))))))),
% 7.38/1.44 inference(definition_unfolding,[],[f356,f293,f332,f293,f332])).
% 7.38/1.44 thf(f356,plain,(
% 7.38/1.44 (c_exactly1of2 = (^[Y0 : $o]: ((^[Y1 : $o]: (c_or @ (c_and @ Y0 @ (c_not @ Y1)) @ (c_and @ (c_not @ Y0) @ Y1))))))),
% 7.38/1.44 inference(cnf_transformation,[],[f116])).
% 7.38/1.44 thf(f116,plain,(
% 7.38/1.44 (c_exactly1of2 = (^[Y0 : $o]: ((^[Y1 : $o]: (c_or @ (c_and @ Y0 @ (c_not @ Y1)) @ (c_and @ (c_not @ Y0) @ Y1))))))),
% 7.38/1.44 inference(fool_elimination,[],[f43])).
% 7.38/1.44 thf(f43,axiom,(
% 7.38/1.44 (c_exactly1of2 = (^[X0 : $o, X1 : $o] : (c_or @ (c_and @ X0 @ (c_not @ X1)) @ (c_and @ (c_not @ X0) @ X1))))),
% 7.38/1.44 file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax43)).
% 7.38/1.44 thf(f405,plain,(
% 7.38/1.44 (c_SNoElts_ = (^[Y0 : $i]: (c_binunion @ Y0 @ (c_Repl @ Y0 @ (^[Y1 : $i]: ((^[Y2 : $i]: (c_SetAdjoin @ Y2 @ (c_Sing @ ((^[Y3 : $i]: (c_binunion @ Y3 @ (c_Sing @ Y3))) @ c_Empty)))) @ Y1))))))),
% 7.38/1.44 inference(definition_unfolding,[],[f354,f310])).
% 7.38/1.44 thf(f354,plain,(
% 7.38/1.44 (c_SNoElts_ = (^[Y0 : $i]: (c_binunion @ Y0 @ (c_Repl @ Y0 @ (^[Y1 : $i]: ((^[Y2 : $i]: (c_SetAdjoin @ Y2 @ (c_Sing @ (c_ordsucc @ c_Empty)))) @ Y1))))))),
% 7.38/1.44 inference(cnf_transformation,[],[f224])).
% 7.38/1.44 thf(f224,plain,(
% 7.38/1.44 (c_SNoElts_ = (^[Y0 : $i]: (c_binunion @ Y0 @ (c_Repl @ Y0 @ (^[Y1 : $i]: ((^[Y2 : $i]: (c_SetAdjoin @ Y2 @ (c_Sing @ (c_ordsucc @ c_Empty)))) @ Y1))))))),
% 7.38/1.44 inference(fool_elimination,[],[f93])).
% 7.38/1.44 thf(f93,axiom,(
% 7.38/1.44 ((^[X0 : $i] : (c_binunion @ X0 @ (c_Repl @ X0 @ (^[X1 : $i] : ((^[X2 : $i] : (c_SetAdjoin @ X2 @ (c_Sing @ (c_ordsucc @ c_Empty)))) @ X1))))) = c_SNoElts_)),
% 7.38/1.44 file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax93)).
% 7.38/1.44 thf(f352,plain,(
% 7.38/1.44 (c_SNo_ = (^[Y0 : $i]: ((^[Y1 : $i]: (c_and @ (c_Subq @ Y1 @ (c_SNoElts_ @ Y0)) @ (!! @ $i @ (^[Y2 : $i]: ((c_In @ Y2 @ Y0) => (c_exactly1of2 @ (c_In @ ((^[Y3 : $i]: (c_SetAdjoin @ Y3 @ (c_Sing @ (c_ordsucc @ c_Empty)))) @ Y2) @ Y1) @ (c_In @ Y2 @ Y1))))))))))),
% 7.38/1.44 inference(cnf_transformation,[],[f200])).
% 7.38/1.44 thf(f200,plain,(
% 7.38/1.44 (c_SNo_ = (^[Y0 : $i]: ((^[Y1 : $i]: (c_and @ (c_Subq @ Y1 @ (c_SNoElts_ @ Y0)) @ (!! @ $i @ (^[Y2 : $i]: ((c_In @ Y2 @ Y0) => (c_exactly1of2 @ (c_In @ ((^[Y3 : $i]: (c_SetAdjoin @ Y3 @ (c_Sing @ (c_ordsucc @ c_Empty)))) @ Y2) @ Y1) @ (c_In @ Y2 @ Y1))))))))))),
% 7.38/1.44 inference(fool_elimination,[],[f199])).
% 7.38/1.44 thf(f199,plain,(
% 7.38/1.44 (c_SNo_ = (^[X0 : $i, X1 : $i] : (c_and @ (c_Subq @ X1 @ (c_SNoElts_ @ X0)) @ ! [X2] : ((c_In @ X2 @ X0) => (c_exactly1of2 @ (c_In @ ((^[X3 : $i] : (c_SetAdjoin @ X3 @ (c_Sing @ (c_ordsucc @ c_Empty)))) @ X2) @ X1) @ (c_In @ X2 @ X1))))))),
% 7.38/1.44 inference(rectify,[],[f94])).
% 7.38/1.44 thf(f94,axiom,(
% 7.38/1.44 (c_SNo_ = (^[X0 : $i, X1 : $i] : (c_and @ (c_Subq @ X1 @ (c_SNoElts_ @ X0)) @ ! [X2] : ((c_In @ X2 @ X0) => (c_exactly1of2 @ (c_In @ ((^[X3 : $i] : (c_SetAdjoin @ X3 @ (c_Sing @ (c_ordsucc @ c_Empty)))) @ X2) @ X1) @ (c_In @ X2 @ X1))))))),
% 7.38/1.44 file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax94)).
% 7.38/1.44 thf(f390,plain,(
% 7.38/1.44 (c_ordinal = (^[Y0 : $i]: ((^[Y1 : $o]: ((^[Y2 : $o]: (!! @ $o @ (^[Y3 : $o]: ((Y1 => (Y2 => Y3)) => Y3)))))) @ ((^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((c_In @ Y2 @ Y1) => ((^[Y3 : $i]: ((^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: ((c_In @ Y5 @ Y3) => (c_In @ Y5 @ Y4))))))) @ Y2 @ Y1))))) @ Y0) @ (!! @ $i @ (^[Y1 : $i]: ((c_In @ Y1 @ Y0) => ((^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: ((c_In @ Y3 @ Y2) => ((^[Y4 : $i]: ((^[Y5 : $i]: (!! @ $i @ (^[Y6 : $i]: ((c_In @ Y6 @ Y4) => (c_In @ Y6 @ Y5))))))) @ Y3 @ Y2))))) @ Y1)))))))),
% 7.38/1.44 inference(definition_unfolding,[],[f360,f293,f363,f363])).
% 7.38/1.44 thf(f360,plain,(
% 7.38/1.44 (c_ordinal = (^[Y0 : $i]: (c_and @ (c_TransSet @ Y0) @ (!! @ $i @ (^[Y1 : $i]: ((c_In @ Y1 @ Y0) => (c_TransSet @ Y1)))))))),
% 7.38/1.44 inference(cnf_transformation,[],[f274])).
% 7.38/1.44 thf(f274,plain,(
% 7.38/1.44 (c_ordinal = (^[Y0 : $i]: (c_and @ (c_TransSet @ Y0) @ (!! @ $i @ (^[Y1 : $i]: ((c_In @ Y1 @ Y0) => (c_TransSet @ Y1)))))))),
% 7.38/1.44 inference(fool_elimination,[],[f273])).
% 7.38/1.44 thf(f273,plain,(
% 7.38/1.44 (c_ordinal = (^[X0 : $i] : (c_and @ (c_TransSet @ X0) @ ! [X1] : ((c_In @ X1 @ X0) => (c_TransSet @ X1)))))),
% 7.38/1.44 inference(rectify,[],[f67])).
% 7.38/1.44 thf(f67,axiom,(
% 7.38/1.44 (c_ordinal = (^[X0 : $i] : (c_and @ (c_TransSet @ X0) @ ! [X1] : ((c_In @ X1 @ X0) => (c_TransSet @ X1)))))),
% 7.38/1.44 file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax67)).
% 7.38/1.44 thf(f325,plain,(
% 7.38/1.44 (c_SNo = (^[Y0 : $i]: (?? @ $i @ (^[Y1 : $i]: (c_and @ (c_ordinal @ Y1) @ (c_SNo_ @ Y1 @ Y0))))))),
% 7.38/1.44 inference(cnf_transformation,[],[f270])).
% 7.38/1.44 thf(f270,plain,(
% 7.38/1.44 (c_SNo = (^[Y0 : $i]: (?? @ $i @ (^[Y1 : $i]: (c_and @ (c_ordinal @ Y1) @ (c_SNo_ @ Y1 @ Y0))))))),
% 7.38/1.44 inference(fool_elimination,[],[f269])).
% 7.38/1.44 thf(f269,plain,(
% 7.38/1.44 ((^[X0 : $i] : (? [X1] : (c_and @ (c_ordinal @ X1) @ (c_SNo_ @ X1 @ X0)))) = c_SNo)),
% 7.38/1.44 inference(rectify,[],[f96])).
% 7.38/1.44 thf(f96,axiom,(
% 7.38/1.44 ((^[X0 : $i] : (? [X1] : (c_and @ (c_ordinal @ X1) @ (c_SNo_ @ X1 @ X0)))) = c_SNo)),
% 7.38/1.44 file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax96)).
% 7.38/1.44 thf(f353,plain,(
% 7.38/1.44 (c_setprod = (^[Y0 : $i]: ((^[Y1 : $i]: (c_lam @ Y0 @ (^[Y2 : $i]: (Y1)))))))),
% 7.38/1.44 inference(cnf_transformation,[],[f246])).
% 7.38/1.44 thf(f246,plain,(
% 7.38/1.44 (c_setprod = (^[Y0 : $i]: ((^[Y1 : $i]: (c_lam @ Y0 @ (^[Y2 : $i]: (Y1)))))))),
% 7.38/1.44 inference(fool_elimination,[],[f78])).
% 7.38/1.44 thf(f78,axiom,(
% 7.38/1.44 ((^[X0 : $i, X1 : $i] : (c_lam @ X0 @ (^[X2 : $i] : (X1)))) = c_setprod)),
% 7.38/1.44 file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax78)).
% 7.38/1.44 thf(f310,plain,(
% 7.38/1.44 (c_ordsucc = (^[Y0 : $i]: (c_binunion @ Y0 @ (c_Sing @ Y0))))),
% 7.38/1.44 inference(cnf_transformation,[],[f149])).
% 7.38/1.44 thf(f149,plain,(
% 7.38/1.44 (c_ordsucc = (^[Y0 : $i]: (c_binunion @ Y0 @ (c_Sing @ Y0))))),
% 7.38/1.44 inference(fool_elimination,[],[f62])).
% 7.38/1.44 thf(f62,axiom,(
% 7.38/1.44 (c_ordsucc = (^[X0 : $i] : (c_binunion @ X0 @ (c_Sing @ X0))))),
% 7.38/1.44 file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax62)).
% 7.38/1.44 thf(f369,plain,(
% 7.38/1.44 (c_exactly2 = (^[Y0 : $i]: ((^[Y1 : $o]: ((^[Y2 : $o]: (!! @ $o @ (^[Y3 : $o]: ((Y1 => (Y2 => Y3)) => Y3)))))) @ ((^[Y1 : $i]: (?? @ $i @ (^[Y2 : $i]: ((^[Y3 : $o]: ((^[Y4 : $o]: (!! @ $o @ (^[Y5 : $o]: ((Y3 => (Y4 => Y5)) => Y5)))))) @ (c_In @ Y2 @ Y1) @ ((^[Y3 : $o]: (Y3 => c_False)) @ ((^[Y3 : $i]: ((^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: ((c_In @ Y5 @ Y3) => (c_In @ Y5 @ Y4))))))) @ Y1 @ (c_Power @ Y2))))))) @ Y0) @ ((^[Y1 : $o]: (Y1 => c_False)) @ ((^[Y1 : $i]: (?? @ $i @ (^[Y2 : $i]: ((^[Y3 : $o]: ((^[Y4 : $o]: (!! @ $o @ (^[Y5 : $o]: ((Y3 => (Y4 => Y5)) => Y5)))))) @ ((^[Y3 : $i]: ((^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: ((c_In @ Y5 @ Y3) => (c_In @ Y5 @ Y4))))))) @ Y2 @ Y1) @ ((^[Y3 : $o]: ((^[Y4 : $o]: (!! @ $o @ (^[Y5 : $o]: ((Y3 => (Y4 => Y5)) => Y5)))))) @ ((^[Y3 : $o]: (Y3 => c_False)) @ ((^[Y3 : $i]: ((^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: ((c_In @ Y5 @ Y3) => (c_In @ Y5 @ Y4))))))) @ Y1 @ Y2)) @ ((^[Y3 : $i]: (?? @ $i @ (^[Y4 : $i]: ((^[Y5 : $o]: ((^[Y6 : $o]: (!! @ $o @ (^[Y7 : $o]: ((Y5 => (Y6 => Y7)) => Y7)))))) @ (c_In @ Y4 @ Y3) @ ((^[Y5 : $o]: (Y5 => c_False)) @ ((^[Y5 : $i]: ((^[Y6 : $i]: (!! @ $i @ (^[Y7 : $i]: ((c_In @ Y7 @ Y5) => (c_In @ Y7 @ Y6))))))) @ Y3 @ (c_Power @ Y4))))))) @ Y2)))))) @ Y0)))))),
% 7.38/1.44 inference(definition_unfolding,[],[f308,f293,f364,f332,f365])).
% 7.38/1.44 thf(f365,plain,(
% 7.38/1.44 (c_atleast3 = (^[Y0 : $i]: (?? @ $i @ (^[Y1 : $i]: ((^[Y2 : $o]: ((^[Y3 : $o]: (!! @ $o @ (^[Y4 : $o]: ((Y2 => (Y3 => Y4)) => Y4)))))) @ ((^[Y2 : $i]: ((^[Y3 : $i]: (!! @ $i @ (^[Y4 : $i]: ((c_In @ Y4 @ Y2) => (c_In @ Y4 @ Y3))))))) @ Y1 @ Y0) @ ((^[Y2 : $o]: ((^[Y3 : $o]: (!! @ $o @ (^[Y4 : $o]: ((Y2 => (Y3 => Y4)) => Y4)))))) @ ((^[Y2 : $o]: (Y2 => c_False)) @ ((^[Y2 : $i]: ((^[Y3 : $i]: (!! @ $i @ (^[Y4 : $i]: ((c_In @ Y4 @ Y2) => (c_In @ Y4 @ Y3))))))) @ Y0 @ Y1)) @ ((^[Y2 : $i]: (?? @ $i @ (^[Y3 : $i]: ((^[Y4 : $o]: ((^[Y5 : $o]: (!! @ $o @ (^[Y6 : $o]: ((Y4 => (Y5 => Y6)) => Y6)))))) @ (c_In @ Y3 @ Y2) @ ((^[Y4 : $o]: (Y4 => c_False)) @ ((^[Y4 : $i]: ((^[Y5 : $i]: (!! @ $i @ (^[Y6 : $i]: ((c_In @ Y6 @ Y4) => (c_In @ Y6 @ Y5))))))) @ Y2 @ (c_Power @ Y3))))))) @ Y1)))))))),
% 7.38/1.44 inference(definition_unfolding,[],[f297,f293,f311,f293,f332,f311,f364])).
% 7.38/1.44 thf(f297,plain,(
% 7.38/1.44 (c_atleast3 = (^[Y0 : $i]: (?? @ $i @ (^[Y1 : $i]: (c_and @ (c_Subq @ Y1 @ Y0) @ (c_and @ (c_not @ (c_Subq @ Y0 @ Y1)) @ (c_atleast2 @ Y1)))))))),
% 7.38/1.44 inference(cnf_transformation,[],[f257])).
% 7.38/1.44 thf(f257,plain,(
% 7.38/1.44 (c_atleast3 = (^[Y0 : $i]: (?? @ $i @ (^[Y1 : $i]: (c_and @ (c_Subq @ Y1 @ Y0) @ (c_and @ (c_not @ (c_Subq @ Y0 @ Y1)) @ (c_atleast2 @ Y1)))))))),
% 7.38/1.44 inference(fool_elimination,[],[f256])).
% 7.38/1.44 thf(f256,plain,(
% 7.38/1.44 (c_atleast3 = (^[X0 : $i] : (? [X1] : (c_and @ (c_Subq @ X1 @ X0) @ (c_and @ (c_not @ (c_Subq @ X0 @ X1)) @ (c_atleast2 @ X1))))))),
% 7.38/1.44 inference(rectify,[],[f20])).
% 7.38/1.44 thf(f20,axiom,(
% 7.38/1.44 (c_atleast3 = (^[X0 : $i] : (? [X1] : (c_and @ (c_Subq @ X1 @ X0) @ (c_and @ (c_not @ (c_Subq @ X0 @ X1)) @ (c_atleast2 @ X1))))))),
% 7.38/1.44 file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax20)).
% 7.38/1.44 thf(f364,plain,(
% 7.38/1.44 (c_atleast2 = (^[Y0 : $i]: (?? @ $i @ (^[Y1 : $i]: ((^[Y2 : $o]: ((^[Y3 : $o]: (!! @ $o @ (^[Y4 : $o]: ((Y2 => (Y3 => Y4)) => Y4)))))) @ (c_In @ Y1 @ Y0) @ ((^[Y2 : $o]: (Y2 => c_False)) @ ((^[Y2 : $i]: ((^[Y3 : $i]: (!! @ $i @ (^[Y4 : $i]: ((c_In @ Y4 @ Y2) => (c_In @ Y4 @ Y3))))))) @ Y0 @ (c_Power @ Y1))))))))),
% 7.38/1.44 inference(definition_unfolding,[],[f335,f293,f332,f311])).
% 7.38/1.44 thf(f335,plain,(
% 7.38/1.44 (c_atleast2 = (^[Y0 : $i]: (?? @ $i @ (^[Y1 : $i]: (c_and @ (c_In @ Y1 @ Y0) @ (c_not @ (c_Subq @ Y0 @ (c_Power @ Y1))))))))),
% 7.38/1.44 inference(cnf_transformation,[],[f191])).
% 7.38/1.44 thf(f191,plain,(
% 7.38/1.44 (c_atleast2 = (^[Y0 : $i]: (?? @ $i @ (^[Y1 : $i]: (c_and @ (c_In @ Y1 @ Y0) @ (c_not @ (c_Subq @ Y0 @ (c_Power @ Y1))))))))),
% 7.38/1.44 inference(fool_elimination,[],[f190])).
% 7.38/1.44 thf(f190,plain,(
% 7.38/1.44 ((^[X0 : $i] : (? [X1] : (c_and @ (c_In @ X1 @ X0) @ (c_not @ (c_Subq @ X0 @ (c_Power @ X1)))))) = c_atleast2)),
% 7.38/1.44 inference(rectify,[],[f19])).
% 7.38/1.44 thf(f19,axiom,(
% 7.38/1.44 ((^[X0 : $i] : (? [X1] : (c_and @ (c_In @ X1 @ X0) @ (c_not @ (c_Subq @ X0 @ (c_Power @ X1)))))) = c_atleast2)),
% 7.38/1.44 file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax19)).
% 7.38/1.44 thf(f308,plain,(
% 7.38/1.44 (c_exactly2 = (^[Y0 : $i]: (c_and @ (c_atleast2 @ Y0) @ (c_not @ (c_atleast3 @ Y0)))))),
% 7.38/1.44 inference(cnf_transformation,[],[f245])).
% 7.38/1.44 thf(f245,plain,(
% 7.38/1.44 (c_exactly2 = (^[Y0 : $i]: (c_and @ (c_atleast2 @ Y0) @ (c_not @ (c_atleast3 @ Y0)))))),
% 7.38/1.44 inference(fool_elimination,[],[f24])).
% 7.38/1.44 thf(f24,axiom,(
% 7.38/1.44 ((^[X0 : $i] : (c_and @ (c_atleast2 @ X0) @ (c_not @ (c_atleast3 @ X0)))) = c_exactly2)),
% 7.38/1.44 file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax24)).
% 7.38/1.44 thf(f311,plain,(
% 7.38/1.44 (c_Subq = (^[Y0 : $i]: ((^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((c_In @ Y2 @ Y0) => (c_In @ Y2 @ Y1))))))))),
% 7.38/1.44 inference(cnf_transformation,[],[f272])).
% 7.38/1.44 thf(f272,plain,(
% 7.38/1.44 (c_Subq = (^[Y0 : $i]: ((^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((c_In @ Y2 @ Y0) => (c_In @ Y2 @ Y1))))))))),
% 7.38/1.44 inference(fool_elimination,[],[f271])).
% 7.38/1.44 thf(f271,plain,(
% 7.38/1.44 ((^[X0 : $i, X1 : $i] : (! [X2] : ((c_In @ X2 @ X0) => (c_In @ X2 @ X1)))) = c_Subq)),
% 7.38/1.44 inference(rectify,[],[f17])).
% 7.38/1.44 thf(f17,axiom,(
% 7.38/1.44 ((^[X0 : $i, X1 : $i] : (! [X2] : ((c_In @ X2 @ X0) => (c_In @ X2 @ X1)))) = c_Subq)),
% 7.38/1.44 file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax17)).
% 7.38/1.44 thf(f363,plain,(
% 7.38/1.44 (c_TransSet = (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((c_In @ Y1 @ Y0) => ((^[Y2 : $i]: ((^[Y3 : $i]: (!! @ $i @ (^[Y4 : $i]: ((c_In @ Y4 @ Y2) => (c_In @ Y4 @ Y3))))))) @ Y1 @ Y0))))))),
% 7.38/1.44 inference(definition_unfolding,[],[f302,f311])).
% 7.38/1.44 thf(f302,plain,(
% 7.38/1.44 (c_TransSet = (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((c_In @ Y1 @ Y0) => (c_Subq @ Y1 @ Y0))))))),
% 7.38/1.44 inference(cnf_transformation,[],[f253])).
% 7.38/1.44 thf(f253,plain,(
% 7.38/1.44 (c_TransSet = (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((c_In @ Y1 @ Y0) => (c_Subq @ Y1 @ Y0))))))),
% 7.38/1.44 inference(fool_elimination,[],[f252])).
% 7.38/1.44 thf(f252,plain,(
% 7.38/1.44 (c_TransSet = (^[X0 : $i] : (! [X1] : ((c_In @ X1 @ X0) => (c_Subq @ X1 @ X0)))))),
% 7.38/1.44 inference(rectify,[],[f18])).
% 7.38/1.44 thf(f18,axiom,(
% 7.38/1.44 (c_TransSet = (^[X0 : $i] : (! [X1] : ((c_In @ X1 @ X0) => (c_Subq @ X1 @ X0)))))),
% 7.38/1.44 file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax18)).
% 7.38/1.44 thf(f361,plain,(
% 7.38/1.44 (c_binrep = (^[Y0 : $i]: ((^[Y1 : $i]: (c_setsum @ Y0 @ (c_Power @ Y1))))))),
% 7.38/1.44 inference(cnf_transformation,[],[f283])).
% 7.38/1.44 thf(f283,plain,(
% 7.38/1.44 (c_binrep = (^[Y0 : $i]: ((^[Y1 : $i]: (c_setsum @ Y0 @ (c_Power @ Y1))))))),
% 7.38/1.44 inference(fool_elimination,[],[f76])).
% 7.38/1.44 thf(f76,axiom,(
% 7.38/1.44 (c_binrep = (^[X0 : $i, X1 : $i] : (c_setsum @ X0 @ (c_Power @ X1))))),
% 7.38/1.44 file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax76)).
% 7.38/1.44 thf(f382,plain,(
% 7.38/1.44 (c_binintersect = (^[Y0 : $i]: ((^[Y1 : $i]: ((^[Y2 : $i]: ((^[Y3 : $i > $o]: ((^[Y4 : $o]: ((^[Y5 : $i]: ((^[Y6 : $i]: (c_Eps_i @ (^[Y7 : $i]: (c_or @ ((^[Y8 : $o]: ((^[Y9 : $o]: (!! @ $o @ (^[Y10 : $o]: ((Y8 => (Y9 => Y10)) => Y10)))))) @ Y4 @ (Y5 = Y7)) @ ((^[Y8 : $o]: ((^[Y9 : $o]: (!! @ $o @ (^[Y10 : $o]: ((Y8 => (Y9 => Y10)) => Y10)))))) @ ((^[Y8 : $o]: (Y8 => c_False)) @ Y4) @ (Y6 = Y7)))))))))) @ (?? @ $i @ (^[Y4 : $i]: ((^[Y5 : $o]: ((^[Y6 : $o]: (!! @ $o @ (^[Y7 : $o]: ((Y5 => (Y6 => Y7)) => Y7)))))) @ (c_In @ Y4 @ Y2) @ (Y3 @ Y4)))) @ (c_Repl @ Y2 @ (^[Y4 : $i]: ((^[Y5 : $i]: ((^[Y6 : $o]: ((^[Y7 : $i]: ((^[Y8 : $i]: (c_Eps_i @ (^[Y9 : $i]: (c_or @ ((^[Y10 : $o]: ((^[Y11 : $o]: (!! @ $o @ (^[Y12 : $o]: ((Y10 => (Y11 => Y12)) => Y12)))))) @ Y6 @ (Y7 = Y9)) @ ((^[Y10 : $o]: ((^[Y11 : $o]: (!! @ $o @ (^[Y12 : $o]: ((Y10 => (Y11 => Y12)) => Y12)))))) @ ((^[Y10 : $o]: (Y10 => c_False)) @ Y6) @ (Y8 = Y9)))))))))) @ (Y3 @ Y5) @ Y5 @ (c_Eps_i @ (^[Y6 : $i]: ((^[Y7 : $o]: ((^[Y8 : $o]: (!! @ $o @ (^[Y9 : $o]: ((Y7 => (Y8 => Y9)) => Y9)))))) @ (c_In @ Y6 @ Y2) @ (Y3 @ Y6)))))) @ Y4))) @ c_Empty)))) @ Y0 @ (^[Y2 : $i]: (c_In @ Y2 @ Y1)))))))),
% 7.38/1.44 inference(definition_unfolding,[],[f324,f381])).
% 7.38/1.44 thf(f381,plain,(
% 7.38/1.44 (c_Sep = (^[Y0 : $i]: ((^[Y1 : $i > $o]: ((^[Y2 : $o]: ((^[Y3 : $i]: ((^[Y4 : $i]: (c_Eps_i @ (^[Y5 : $i]: (c_or @ ((^[Y6 : $o]: ((^[Y7 : $o]: (!! @ $o @ (^[Y8 : $o]: ((Y6 => (Y7 => Y8)) => Y8)))))) @ Y2 @ (Y3 = Y5)) @ ((^[Y6 : $o]: ((^[Y7 : $o]: (!! @ $o @ (^[Y8 : $o]: ((Y6 => (Y7 => Y8)) => Y8)))))) @ ((^[Y6 : $o]: (Y6 => c_False)) @ Y2) @ (Y4 = Y5)))))))))) @ (?? @ $i @ (^[Y2 : $i]: ((^[Y3 : $o]: ((^[Y4 : $o]: (!! @ $o @ (^[Y5 : $o]: ((Y3 => (Y4 => Y5)) => Y5)))))) @ (c_In @ Y2 @ Y0) @ (Y1 @ Y2)))) @ (c_Repl @ Y0 @ (^[Y2 : $i]: ((^[Y3 : $i]: ((^[Y4 : $o]: ((^[Y5 : $i]: ((^[Y6 : $i]: (c_Eps_i @ (^[Y7 : $i]: (c_or @ ((^[Y8 : $o]: ((^[Y9 : $o]: (!! @ $o @ (^[Y10 : $o]: ((Y8 => (Y9 => Y10)) => Y10)))))) @ Y4 @ (Y5 = Y7)) @ ((^[Y8 : $o]: ((^[Y9 : $o]: (!! @ $o @ (^[Y10 : $o]: ((Y8 => (Y9 => Y10)) => Y10)))))) @ ((^[Y8 : $o]: (Y8 => c_False)) @ Y4) @ (Y6 = Y7)))))))))) @ (Y1 @ Y3) @ Y3 @ (c_Eps_i @ (^[Y4 : $i]: ((^[Y5 : $o]: ((^[Y6 : $o]: (!! @ $o @ (^[Y7 : $o]: ((Y5 => (Y6 => Y7)) => Y7)))))) @ (c_In @ Y4 @ Y0) @ (Y1 @ Y4)))))) @ Y2))) @ c_Empty)))))),
% 7.38/1.44 inference(definition_unfolding,[],[f359,f375,f293,f375,f293])).
% 7.38/1.44 thf(f375,plain,(
% 7.38/1.44 (c_If_i = (^[Y0 : $o]: ((^[Y1 : $i]: ((^[Y2 : $i]: (c_Eps_i @ (^[Y3 : $i]: (c_or @ ((^[Y4 : $o]: ((^[Y5 : $o]: (!! @ $o @ (^[Y6 : $o]: ((Y4 => (Y5 => Y6)) => Y6)))))) @ Y0 @ (Y1 = Y3)) @ ((^[Y4 : $o]: ((^[Y5 : $o]: (!! @ $o @ (^[Y6 : $o]: ((Y4 => (Y5 => Y6)) => Y6)))))) @ ((^[Y4 : $o]: (Y4 => c_False)) @ Y0) @ (Y2 = Y3)))))))))))),
% 7.38/1.44 inference(definition_unfolding,[],[f289,f293,f293,f332])).
% 7.38/1.44 thf(f289,plain,(
% 7.38/1.44 (c_If_i = (^[Y0 : $o]: ((^[Y1 : $i]: ((^[Y2 : $i]: (c_Eps_i @ (^[Y3 : $i]: (c_or @ (c_and @ Y0 @ (Y1 = Y3)) @ (c_and @ (c_not @ Y0) @ (Y2 = Y3)))))))))))),
% 7.38/1.44 inference(cnf_transformation,[],[f146])).
% 7.38/1.44 thf(f146,plain,(
% 7.38/1.44 (c_If_i = (^[Y0 : $o]: ((^[Y1 : $i]: ((^[Y2 : $i]: (c_Eps_i @ (^[Y3 : $i]: (c_or @ (c_and @ Y0 @ (Y1 = Y3)) @ (c_and @ (c_not @ Y0) @ (Y2 = Y3)))))))))))),
% 7.38/1.44 inference(fool_elimination,[],[f42])).
% 7.38/1.44 thf(f42,axiom,(
% 7.38/1.44 (c_If_i = (^[X0 : $o, X1 : $i, X2 : $i] : (c_Eps_i @ (^[X3 : $i] : (c_or @ (c_and @ X0 @ (X1 = X3)) @ (c_and @ (c_not @ X0) @ (X2 = X3)))))))),
% 7.38/1.44 file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax42)).
% 7.38/1.44 thf(f359,plain,(
% 7.38/1.44 (c_Sep = (^[Y0 : $i]: ((^[Y1 : $i > $o]: (c_If_i @ (?? @ $i @ (^[Y2 : $i]: (c_and @ (c_In @ Y2 @ Y0) @ (Y1 @ Y2)))) @ (c_Repl @ Y0 @ (^[Y2 : $i]: ((^[Y3 : $i]: (c_If_i @ (Y1 @ Y3) @ Y3 @ (c_Eps_i @ (^[Y4 : $i]: (c_and @ (c_In @ Y4 @ Y0) @ (Y1 @ Y4)))))) @ Y2))) @ c_Empty)))))),
% 7.38/1.44 inference(cnf_transformation,[],[f259])).
% 7.38/1.44 thf(f259,plain,(
% 7.38/1.44 (c_Sep = (^[Y0 : $i]: ((^[Y1 : $i > $o]: (c_If_i @ (?? @ $i @ (^[Y2 : $i]: (c_and @ (c_In @ Y2 @ Y0) @ (Y1 @ Y2)))) @ (c_Repl @ Y0 @ (^[Y2 : $i]: ((^[Y3 : $i]: (c_If_i @ (Y1 @ Y3) @ Y3 @ (c_Eps_i @ (^[Y4 : $i]: (c_and @ (c_In @ Y4 @ Y0) @ (Y1 @ Y4)))))) @ Y2))) @ c_Empty)))))),
% 7.38/1.44 inference(fool_elimination,[],[f258])).
% 7.38/1.44 thf(f258,plain,(
% 7.38/1.44 ((^[X0 : $i, X1 : $i > $o] : (c_If_i @ ? [X2] : (c_and @ (c_In @ X2 @ X0) @ (X1 @ X2)) @ (c_Repl @ X0 @ (^[X3 : $i] : ((^[X4 : $i] : (c_If_i @ (X1 @ X4) @ X4 @ (c_Eps_i @ (^[X5 : $i] : (c_and @ (c_In @ X5 @ X0) @ (X1 @ X5)))))) @ X3))) @ c_Empty)) = c_Sep)),
% 7.38/1.44 inference(rectify,[],[f52])).
% 7.38/1.44 thf(f52,axiom,(
% 7.38/1.44 ((^[X0 : $i, X1 : $i > $o] : (c_If_i @ ? [X2] : (c_and @ (c_In @ X2 @ X0) @ (X1 @ X2)) @ (c_Repl @ X0 @ (^[X2 : $i] : ((^[X3 : $i] : (c_If_i @ (X1 @ X3) @ X3 @ (c_Eps_i @ (^[X4 : $i] : (c_and @ (c_In @ X4 @ X0) @ (X1 @ X4)))))) @ X2))) @ c_Empty)) = c_Sep)),
% 7.38/1.44 file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax52)).
% 7.38/1.44 thf(f324,plain,(
% 7.38/1.44 (c_binintersect = (^[Y0 : $i]: ((^[Y1 : $i]: (c_Sep @ Y0 @ (^[Y2 : $i]: (c_In @ Y2 @ Y1)))))))),
% 7.38/1.44 inference(cnf_transformation,[],[f135])).
% 7.38/1.44 thf(f135,plain,(
% 7.38/1.44 (c_binintersect = (^[Y0 : $i]: ((^[Y1 : $i]: (c_Sep @ Y0 @ (^[Y2 : $i]: (c_In @ Y2 @ Y1)))))))),
% 7.38/1.44 inference(fool_elimination,[],[f54])).
% 7.38/1.44 thf(f54,axiom,(
% 7.38/1.44 (c_binintersect = (^[X0 : $i, X1 : $i] : (c_Sep @ X0 @ (^[X2 : $i] : (c_In @ X2 @ X1)))))),
% 7.38/1.44 file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax54)).
% 7.38/1.44 thf(f293,plain,(
% 7.38/1.44 (c_and = (^[Y0 : $o]: ((^[Y1 : $o]: (!! @ $o @ (^[Y2 : $o]: ((Y0 => (Y1 => Y2)) => Y2)))))))),
% 7.38/1.44 inference(cnf_transformation,[],[f266])).
% 7.38/1.44 thf(f266,plain,(
% 7.38/1.44 (c_and = (^[Y0 : $o]: ((^[Y1 : $o]: (!! @ $o @ (^[Y2 : $o]: ((Y0 => (Y1 => Y2)) => Y2)))))))),
% 7.38/1.44 inference(fool_elimination,[],[f265])).
% 7.38/1.44 thf(f265,plain,(
% 7.38/1.44 (c_and = (^[X0 : $o, X1 : $o] : (! [X2 : $o] : ((X0 => (X1 => X2)) => X2))))),
% 7.38/1.44 inference(rectify,[],[f14])).
% 7.38/1.44 thf(f14,axiom,(
% 7.38/1.44 (c_and = (^[X0 : $o, X1 : $o] : (! [X2 : $o] : ((X0 => (X1 => X2)) => X2))))),
% 7.38/1.44 file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax14)).
% 7.38/1.44 thf(f332,plain,(
% 7.38/1.44 (c_not = (^[Y0 : $o]: (Y0 => c_False)))),
% 7.38/1.44 inference(cnf_transformation,[],[f131])).
% 7.38/1.44 thf(f131,plain,(
% 7.38/1.44 (c_not = (^[Y0 : $o]: (Y0 => c_False)))),
% 7.38/1.44 inference(fool_elimination,[],[f130])).
% 7.38/1.44 thf(f130,plain,(
% 7.38/1.44 ((^[X0 : $o] : (X0 => c_False)) = c_not)),
% 7.38/1.44 inference(rectify,[],[f13])).
% 7.38/1.44 thf(f13,axiom,(
% 7.38/1.44 ((^[X0 : $o] : (X0 => c_False)) = c_not)),
% 7.38/1.44 file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax13)).
% 7.38/1.44 thf(f340,plain,(
% 7.38/1.44 ($true = (~ (c_not @ (!! @ ($i > $o) @ (^[Y0 : $i > $o]: (!! @ ($i > $i) @ (^[Y1 : $i > $i]: (c_and @ (((Y0 @ (Y1 @ (c_binintersect @ (Y1 @ (c_Power @ c_Empty)) @ (Y1 @ (c_binrep @ (c_Power @ (c_Power @ (c_Power @ c_Empty))) @ c_Empty))))) => ((c_TransSet @ (Y1 @ c_Empty)) => (!! @ $i @ (^[Y2 : $i]: ((c_In @ Y2 @ c_Empty) => (?? @ $i @ (^[Y3 : $i]: (c_and @ (c_Subq @ Y3 @ Y2) @ (c_exactly2 @ (c_ordsucc @ (Y1 @ Y3))))))))))) => (?? @ $i @ (^[Y2 : $i]: (c_and @ (?? @ $i @ (^[Y3 : $i]: (c_and @ (c_Subq @ Y3 @ Y2) @ (((Y1 @ Y2) = Y2) => (?? @ $i @ (^[Y4 : $i]: (c_and @ (c_Subq @ Y4 @ Y2) @ (c_not @ (Y0 @ (c_setprod @ Y3 @ (c_binrep @ (c_Power @ (c_binrep @ (c_Power @ (c_Power @ c_Empty)) @ c_Empty)) @ (c_Power @ (c_Power @ c_Empty))))))))))))) @ (c_not @ (c_SNo @ Y2)))))) @ (c_not @ (Y0 @ (Y1 @ (Y1 @ (Y1 @ (c_binrep @ (c_binrep @ (c_Power @ (c_binrep @ (c_Power @ (c_Power @ c_Empty)) @ c_Empty)) @ (c_Power @ c_Empty)) @ c_Empty))))))))))))))),
% 7.38/1.44 inference(cnf_transformation,[],[f213])).
% 7.38/1.44 thf(f213,plain,(
% 7.38/1.44 ($true = (~ (c_not @ (!! @ ($i > $o) @ (^[Y0 : $i > $o]: (!! @ ($i > $i) @ (^[Y1 : $i > $i]: (c_and @ (((Y0 @ (Y1 @ (c_binintersect @ (Y1 @ (c_Power @ c_Empty)) @ (Y1 @ (c_binrep @ (c_Power @ (c_Power @ (c_Power @ c_Empty))) @ c_Empty))))) => ((c_TransSet @ (Y1 @ c_Empty)) => (!! @ $i @ (^[Y2 : $i]: ((c_In @ Y2 @ c_Empty) => (?? @ $i @ (^[Y3 : $i]: (c_and @ (c_Subq @ Y3 @ Y2) @ (c_exactly2 @ (c_ordsucc @ (Y1 @ Y3))))))))))) => (?? @ $i @ (^[Y2 : $i]: (c_and @ (?? @ $i @ (^[Y3 : $i]: (c_and @ (c_Subq @ Y3 @ Y2) @ (((Y1 @ Y2) = Y2) => (?? @ $i @ (^[Y4 : $i]: (c_and @ (c_Subq @ Y4 @ Y2) @ (c_not @ (Y0 @ (c_setprod @ Y3 @ (c_binrep @ (c_Power @ (c_binrep @ (c_Power @ (c_Power @ c_Empty)) @ c_Empty)) @ (c_Power @ (c_Power @ c_Empty))))))))))))) @ (c_not @ (c_SNo @ Y2)))))) @ (c_not @ (Y0 @ (Y1 @ (Y1 @ (Y1 @ (c_binrep @ (c_binrep @ (c_Power @ (c_binrep @ (c_Power @ (c_Power @ c_Empty)) @ c_Empty)) @ (c_Power @ c_Empty)) @ c_Empty))))))))))))))),
% 7.38/1.44 inference(fool_elimination,[],[f212])).
% 7.38/1.44 thf(f212,plain,(
% 7.38/1.44 ~(c_not @ ! [X0 : $i > $i,X1 : $i > $o] : (c_and @ ((X1 @ (X0 @ (c_binintersect @ (X0 @ (c_Power @ c_Empty)) @ (X0 @ (c_binrep @ (c_Power @ (c_Power @ (c_Power @ c_Empty))) @ c_Empty))))) => ((c_TransSet @ (X0 @ c_Empty)) => ! [X2] : ((c_In @ X2 @ c_Empty) => ? [X3] : (c_and @ (c_Subq @ X3 @ X2) @ (c_exactly2 @ (c_ordsucc @ (X0 @ X3))))))) => ? [X4] : (c_and @ ? [X5] : (c_and @ (c_Subq @ X5 @ X4) @ ((X0 @ X4) = X4) => ? [X6] : (c_and @ (c_Subq @ X6 @ X4) @ (c_not @ (X1 @ (c_setprod @ X5 @ (c_binrep @ (c_Power @ (c_binrep @ (c_Power @ (c_Power @ c_Empty)) @ c_Empty)) @ (c_Power @ (c_Power @ c_Empty)))))))) @ (c_not @ (c_SNo @ X4))) @ (c_not @ (X1 @ (X0 @ (X0 @ (X0 @ (c_binrep @ (c_binrep @ (c_Power @ (c_binrep @ (c_Power @ (c_Power @ c_Empty)) @ c_Empty)) @ (c_Power @ c_Empty)) @ c_Empty))))))))),
% 7.38/1.44 inference(rectify,[],[f110])).
% 7.38/1.44 thf(f110,negated_conjecture,(
% 7.38/1.44 ~(c_not @ ! [X1 : $i > $i,X0 : $i > $o] : (c_and @ ((X0 @ (X1 @ (c_binintersect @ (X1 @ (c_Power @ c_Empty)) @ (X1 @ (c_binrep @ (c_Power @ (c_Power @ (c_Power @ c_Empty))) @ c_Empty))))) => ((c_TransSet @ (X1 @ c_Empty)) => ! [X2] : ((c_In @ X2 @ c_Empty) => ? [X3] : (c_and @ (c_Subq @ X3 @ X2) @ (c_exactly2 @ (c_ordsucc @ (X1 @ X3))))))) => ? [X2] : (c_and @ ? [X3] : (c_and @ (c_Subq @ X3 @ X2) @ ((X1 @ X2) = X2) => ? [X4] : (c_and @ (c_Subq @ X4 @ X2) @ (c_not @ (X0 @ (c_setprod @ X3 @ (c_binrep @ (c_Power @ (c_binrep @ (c_Power @ (c_Power @ c_Empty)) @ c_Empty)) @ (c_Power @ (c_Power @ c_Empty)))))))) @ (c_not @ (c_SNo @ X2))) @ (c_not @ (X0 @ (X1 @ (X1 @ (X1 @ (c_binrep @ (c_binrep @ (c_Power @ (c_binrep @ (c_Power @ (c_Power @ c_Empty)) @ c_Empty)) @ (c_Power @ c_Empty)) @ c_Empty))))))))),
% 7.38/1.44 inference(negated_conjecture,[],[f109])).
% 7.38/1.44 thf(f109,conjecture,(
% 7.38/1.44 (c_not @ ! [X1 : $i > $i,X0 : $i > $o] : (c_and @ ((X0 @ (X1 @ (c_binintersect @ (X1 @ (c_Power @ c_Empty)) @ (X1 @ (c_binrep @ (c_Power @ (c_Power @ (c_Power @ c_Empty))) @ c_Empty))))) => ((c_TransSet @ (X1 @ c_Empty)) => ! [X2] : ((c_In @ X2 @ c_Empty) => ? [X3] : (c_and @ (c_Subq @ X3 @ X2) @ (c_exactly2 @ (c_ordsucc @ (X1 @ X3))))))) => ? [X2] : (c_and @ ? [X3] : (c_and @ (c_Subq @ X3 @ X2) @ ((X1 @ X2) = X2) => ? [X4] : (c_and @ (c_Subq @ X4 @ X2) @ (c_not @ (X0 @ (c_setprod @ X3 @ (c_binrep @ (c_Power @ (c_binrep @ (c_Power @ (c_Power @ c_Empty)) @ c_Empty)) @ (c_Power @ (c_Power @ c_Empty)))))))) @ (c_not @ (c_SNo @ X2))) @ (c_not @ (X0 @ (X1 @ (X1 @ (X1 @ (c_binrep @ (c_binrep @ (c_Power @ (c_binrep @ (c_Power @ (c_Power @ c_Empty)) @ c_Empty)) @ (c_Power @ c_Empty)) @ c_Empty))))))))),
% 7.38/1.44 file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj)).
% 7.38/1.44 thf(f557,plain,(
% 7.38/1.44 ~spl0_3),
% 7.38/1.44 inference(avatar_contradiction_clause,[],[f556])).
% 7.38/1.44 thf(f556,plain,(
% 7.38/1.44 $false | ~spl0_3),
% 7.38/1.44 inference(trivial_inequality_removal,[],[f555])).
% 7.38/1.44 thf(f555,plain,(
% 7.38/1.44 ($true = $false) | ~spl0_3),
% 7.38/1.44 inference(beta_eta_normalization,[],[f487])).
% 7.38/1.44 thf(f487,plain,(
% 7.38/1.44 ( ! [X2 : $i > $i] : (($false = ((^[Y0 : $i]: ($true)) @ (X2 @ (X2 @ (X2 @ (c_setsum @ (c_setsum @ (c_Power @ (c_setsum @ (c_Power @ (c_Power @ c_Empty)) @ (c_Power @ c_Empty))) @ (c_Power @ (c_Power @ c_Empty))) @ (c_Power @ c_Empty)))))))) ) | ~spl0_3),
% 7.38/1.44 inference(primitive_instantiation,[],[f461])).
% 7.38/1.44 thf(f461,plain,(
% 7.38/1.44 ( ! [X2 : $i > $i,X1 : $i > $o] : (((X1 @ (X2 @ (X2 @ (X2 @ (c_setsum @ (c_setsum @ (c_Power @ (c_setsum @ (c_Power @ (c_Power @ c_Empty)) @ (c_Power @ c_Empty))) @ (c_Power @ (c_Power @ c_Empty))) @ (c_Power @ c_Empty)))))) = $false)) ) | ~spl0_3),
% 7.38/1.44 inference(avatar_component_clause,[],[f460])).
% 7.38/1.44 thf(f460,plain,(
% 7.38/1.44 spl0_3 <=> ! [X2 : $i > $i,X1 : $i > $o] : ((X1 @ (X2 @ (X2 @ (X2 @ (c_setsum @ (c_setsum @ (c_Power @ (c_setsum @ (c_Power @ (c_Power @ c_Empty)) @ (c_Power @ c_Empty))) @ (c_Power @ (c_Power @ c_Empty))) @ (c_Power @ c_Empty)))))) = $false)),
% 7.38/1.44 introduced(avatar_definition,[new_symbols(naming,[spl0_3])])).
% 7.38/1.44 thf(f485,plain,(
% 7.38/1.44 ~spl0_2),
% 7.38/1.44 inference(avatar_contradiction_clause,[],[f484])).
% 7.38/1.44 thf(f484,plain,(
% 7.38/1.44 $false | ~spl0_2),
% 7.38/1.44 inference(trivial_inequality_removal,[],[f480])).
% 7.38/1.44 thf(f480,plain,(
% 7.38/1.44 ($true = $false) | ~spl0_2),
% 7.38/1.44 inference(superposition,[],[f458,f433])).
% 7.38/1.44 thf(f458,plain,(
% 7.38/1.44 (c_False = $true) | ~spl0_2),
% 7.38/1.44 inference(avatar_component_clause,[],[f456])).
% 7.38/1.44 thf(f456,plain,(
% 7.38/1.44 spl0_2 <=> (c_False = $true)),
% 7.38/1.44 introduced(avatar_definition,[new_symbols(naming,[spl0_2])])).
% 7.38/1.44 thf(f462,plain,(
% 7.38/1.44 spl0_1 | spl0_2 | spl0_3),
% 7.38/1.44 inference(avatar_split_clause,[],[f451,f460,f456,f453])).
% 7.38/1.44 thf(f451,plain,(
% 7.38/1.44 ( ! [X2 : $i > $i,X3 : $o,X1 : $i > $o] : (((X1 @ (X2 @ (X2 @ (X2 @ (c_setsum @ (c_setsum @ (c_Power @ (c_setsum @ (c_Power @ (c_Power @ c_Empty)) @ (c_Power @ c_Empty))) @ (c_Power @ (c_Power @ c_Empty))) @ (c_Power @ c_Empty)))))) = $false) | (c_False = $true) | ($true = X3)) )),
% 7.38/1.44 inference(binary_proxy_clausification,[],[f450])).
% 7.38/1.44 thf(f450,plain,(
% 7.38/1.44 ( ! [X2 : $i > $i,X3 : $o,X1 : $i > $o] : (($true = X3) | ($true = ((X1 @ (X2 @ (X2 @ (X2 @ (c_setsum @ (c_setsum @ (c_Power @ (c_setsum @ (c_Power @ (c_Power @ c_Empty)) @ (c_Power @ c_Empty))) @ (c_Power @ (c_Power @ c_Empty))) @ (c_Power @ c_Empty)))))) => c_False))) )),
% 7.38/1.44 inference(binary_proxy_clausification,[],[f447])).
% 7.38/1.44 thf(f447,plain,(
% 7.38/1.44 ( ! [X2 : $i > $i,X3 : $o,X1 : $i > $o] : (($true = X3) | ($false = (((X1 @ (X2 @ (X2 @ (X2 @ (c_setsum @ (c_setsum @ (c_Power @ (c_setsum @ (c_Power @ (c_Power @ c_Empty)) @ (c_Power @ c_Empty))) @ (c_Power @ (c_Power @ c_Empty))) @ (c_Power @ c_Empty)))))) => c_False) => X3))) )),
% 7.38/1.44 inference(binary_proxy_clausification,[],[f446])).
% 7.38/1.44 thf(f446,plain,(
% 7.38/1.44 ( ! [X2 : $i > $i,X3 : $o,X1 : $i > $o] : (($true = X3) | ($false = ((((X1 @ (X2 @ (c_Eps_i @ (^[Y0 : $i]: (c_or @ (!! @ $o @ (^[Y1 : $o]: (((?? @ $i @ (^[Y2 : $i]: (!! @ $o @ (^[Y3 : $o]: (((c_In @ Y2 @ (X2 @ (c_Power @ c_Empty))) => ((c_In @ Y2 @ (X2 @ (c_setsum @ (c_Power @ (c_Power @ (c_Power @ c_Empty))) @ (c_Power @ c_Empty)))) => Y3)) => Y3))))) => (((c_Repl @ (X2 @ (c_Power @ c_Empty)) @ (^[Y2 : $i]: (c_Eps_i @ (^[Y3 : $i]: (c_or @ (!! @ $o @ (^[Y4 : $o]: (((c_In @ Y2 @ (X2 @ (c_setsum @ (c_Power @ (c_Power @ (c_Power @ c_Empty))) @ (c_Power @ c_Empty)))) => ((Y2 = Y3) => Y4)) => Y4))) @ (!! @ $o @ (^[Y4 : $o]: ((((c_In @ Y2 @ (X2 @ (c_setsum @ (c_Power @ (c_Power @ (c_Power @ c_Empty))) @ (c_Power @ c_Empty)))) => c_False) => (((c_Eps_i @ (^[Y5 : $i]: (!! @ $o @ (^[Y6 : $o]: (((c_In @ Y5 @ (X2 @ (c_Power @ c_Empty))) => ((c_In @ Y5 @ (X2 @ (c_setsum @ (c_Power @ (c_Power @ (c_Power @ c_Empty))) @ (c_Power @ c_Empty)))) => Y6)) => Y6))))) = Y3) => Y4)) => Y4)))))))) = Y0) => Y1)) => Y1))) @ (!! @ $o @ (^[Y1 : $o]: ((((?? @ $i @ (^[Y2 : $i]: (!! @ $o @ (^[Y3 : $o]: (((c_In @ Y2 @ (X2 @ (c_Power @ c_Empty))) => ((c_In @ Y2 @ (X2 @ (c_setsum @ (c_Power @ (c_Power @ (c_Power @ c_Empty))) @ (c_Power @ c_Empty)))) => Y3)) => Y3))))) => c_False) => ((c_Empty = Y0) => Y1)) => Y1)))))))) => ((!! @ $i @ (^[Y0 : $i]: ((c_In @ Y0 @ (X2 @ c_Empty)) => (!! @ $i @ (^[Y1 : $i]: ((c_In @ Y1 @ Y0) => (c_In @ Y1 @ (X2 @ c_Empty)))))))) => (!! @ $i @ (^[Y0 : $i]: ((c_In @ Y0 @ c_Empty) => (?? @ $i @ (^[Y1 : $i]: (!! @ $o @ (^[Y2 : $o]: (((!! @ $i @ (^[Y3 : $i]: ((c_In @ Y3 @ Y1) => (c_In @ Y3 @ Y0)))) => ((!! @ $o @ (^[Y3 : $o]: (((?? @ $i @ (^[Y4 : $i]: (!! @ $o @ (^[Y5 : $o]: (((c_In @ Y4 @ (c_binunion @ (X2 @ Y1) @ (c_Sing @ (X2 @ Y1)))) => (((!! @ $i @ (^[Y6 : $i]: ((c_In @ Y6 @ (c_binunion @ (X2 @ Y1) @ (c_Sing @ (X2 @ Y1)))) => (c_In @ Y6 @ (c_Power @ Y4))))) => c_False) => Y5)) => Y5))))) => (((?? @ $i @ (^[Y4 : $i]: (!! @ $o @ (^[Y5 : $o]: (((!! @ $i @ (^[Y6 : $i]: ((c_In @ Y6 @ Y4) => (c_In @ Y6 @ (c_binunion @ (X2 @ Y1) @ (c_Sing @ (X2 @ Y1))))))) => ((!! @ $o @ (^[Y6 : $o]: ((((!! @ $i @ (^[Y7 : $i]: ((c_In @ Y7 @ (c_binunion @ (X2 @ Y1) @ (c_Sing @ (X2 @ Y1)))) => (c_In @ Y7 @ Y4)))) => c_False) => ((?? @ $i @ (^[Y7 : $i]: (!! @ $o @ (^[Y8 : $o]: (((c_In @ Y7 @ Y4) => (((!! @ $i @ (^[Y9 : $i]: ((c_In @ Y9 @ Y4) => (c_In @ Y9 @ (c_Power @ Y7))))) => c_False) => Y8)) => Y8))))) => Y6)) => Y6))) => Y5)) => Y5))))) => c_False) => Y3)) => Y3))) => Y2)) => Y2)))))))))) => (?? @ $i @ (^[Y0 : $i]: (!! @ $o @ (^[Y1 : $o]: (((?? @ $i @ (^[Y2 : $i]: (!! @ $o @ (^[Y3 : $o]: (((!! @ $i @ (^[Y4 : $i]: ((c_In @ Y4 @ Y2) => (c_In @ Y4 @ Y0)))) => ((((X2 @ Y0) = Y0) => (?? @ $i @ (^[Y4 : $i]: (!! @ $o @ (^[Y5 : $o]: (((!! @ $i @ (^[Y6 : $i]: ((c_In @ Y6 @ Y4) => (c_In @ Y6 @ Y0)))) => (((X1 @ (c_lam @ Y2 @ (^[Y6 : $i]: (c_setsum @ (c_Power @ (c_setsum @ (c_Power @ (c_Power @ c_Empty)) @ (c_Power @ c_Empty))) @ (c_Power @ (c_Power @ (c_Power @ c_Empty))))))) => c_False) => Y5)) => Y5)))))) => Y3)) => Y3))))) => (((?? @ $i @ (^[Y2 : $i]: (!! @ $o @ (^[Y3 : $o]: (((!! @ $o @ (^[Y4 : $o]: (((!! @ $i @ (^[Y5 : $i]: ((c_In @ Y5 @ Y2) => (!! @ $i @ (^[Y6 : $i]: ((c_In @ Y6 @ Y5) => (c_In @ Y6 @ Y2))))))) => ((!! @ $i @ (^[Y5 : $i]: ((c_In @ Y5 @ Y2) => (!! @ $i @ (^[Y6 : $i]: ((c_In @ Y6 @ Y5) => (!! @ $i @ (^[Y7 : $i]: ((c_In @ Y7 @ Y6) => (c_In @ Y7 @ Y5)))))))))) => Y4)) => Y4))) => ((!! @ $o @ (^[Y4 : $o]: (((!! @ $i @ (^[Y5 : $i]: ((c_In @ Y5 @ Y0) => (c_In @ Y5 @ (c_binunion @ Y2 @ (c_Repl @ Y2 @ (^[Y6 : $i]: (c_SetAdjoin @ Y6 @ (c_Sing @ (c_binunion @ c_Empty @ (c_Sing @ c_Empty))))))))))) => ((!! @ $i @ (^[Y5 : $i]: ((c_In @ Y5 @ Y2) => (c_or @ (!! @ $o @ (^[Y6 : $o]: (((c_In @ (c_SetAdjoin @ Y5 @ (c_Sing @ (c_binunion @ c_Empty @ (c_Sing @ c_Empty)))) @ Y0) => (((c_In @ Y5 @ Y0) => c_False) => Y6)) => Y6))) @ (!! @ $o @ (^[Y6 : $o]: ((((c_In @ (c_SetAdjoin @ Y5 @ (c_Sing @ (c_binunion @ c_Empty @ (c_Sing @ c_Empty)))) @ Y0) => c_False) => ((c_In @ Y5 @ Y0) => Y6)) => Y6))))))) => Y4)) => Y4))) => Y3)) => Y3))))) => c_False) => Y1)) => Y1)))))) => (((X1 @ (X2 @ (X2 @ (X2 @ (c_setsum @ (c_setsum @ (c_Power @ (c_setsum @ (c_Power @ (c_Power @ c_Empty)) @ (c_Power @ c_Empty))) @ (c_Power @ (c_Power @ c_Empty))) @ (c_Power @ c_Empty)))))) => c_False) => X3)))) )),
% 7.38/1.44 inference(binary_proxy_clausification,[],[f445])).
% 7.38/1.44 thf(f445,plain,(
% 7.38/1.44 ( ! [X2 : $i > $i,X3 : $o,X1 : $i > $o] : (($true = (((((X1 @ (X2 @ (c_Eps_i @ (^[Y0 : $i]: (c_or @ (!! @ $o @ (^[Y1 : $o]: (((?? @ $i @ (^[Y2 : $i]: (!! @ $o @ (^[Y3 : $o]: (((c_In @ Y2 @ (X2 @ (c_Power @ c_Empty))) => ((c_In @ Y2 @ (X2 @ (c_setsum @ (c_Power @ (c_Power @ (c_Power @ c_Empty))) @ (c_Power @ c_Empty)))) => Y3)) => Y3))))) => (((c_Repl @ (X2 @ (c_Power @ c_Empty)) @ (^[Y2 : $i]: (c_Eps_i @ (^[Y3 : $i]: (c_or @ (!! @ $o @ (^[Y4 : $o]: (((c_In @ Y2 @ (X2 @ (c_setsum @ (c_Power @ (c_Power @ (c_Power @ c_Empty))) @ (c_Power @ c_Empty)))) => ((Y2 = Y3) => Y4)) => Y4))) @ (!! @ $o @ (^[Y4 : $o]: ((((c_In @ Y2 @ (X2 @ (c_setsum @ (c_Power @ (c_Power @ (c_Power @ c_Empty))) @ (c_Power @ c_Empty)))) => c_False) => (((c_Eps_i @ (^[Y5 : $i]: (!! @ $o @ (^[Y6 : $o]: (((c_In @ Y5 @ (X2 @ (c_Power @ c_Empty))) => ((c_In @ Y5 @ (X2 @ (c_setsum @ (c_Power @ (c_Power @ (c_Power @ c_Empty))) @ (c_Power @ c_Empty)))) => Y6)) => Y6))))) = Y3) => Y4)) => Y4)))))))) = Y0) => Y1)) => Y1))) @ (!! @ $o @ (^[Y1 : $o]: ((((?? @ $i @ (^[Y2 : $i]: (!! @ $o @ (^[Y3 : $o]: (((c_In @ Y2 @ (X2 @ (c_Power @ c_Empty))) => ((c_In @ Y2 @ (X2 @ (c_setsum @ (c_Power @ (c_Power @ (c_Power @ c_Empty))) @ (c_Power @ c_Empty)))) => Y3)) => Y3))))) => c_False) => ((c_Empty = Y0) => Y1)) => Y1)))))))) => ((!! @ $i @ (^[Y0 : $i]: ((c_In @ Y0 @ (X2 @ c_Empty)) => (!! @ $i @ (^[Y1 : $i]: ((c_In @ Y1 @ Y0) => (c_In @ Y1 @ (X2 @ c_Empty)))))))) => (!! @ $i @ (^[Y0 : $i]: ((c_In @ Y0 @ c_Empty) => (?? @ $i @ (^[Y1 : $i]: (!! @ $o @ (^[Y2 : $o]: (((!! @ $i @ (^[Y3 : $i]: ((c_In @ Y3 @ Y1) => (c_In @ Y3 @ Y0)))) => ((!! @ $o @ (^[Y3 : $o]: (((?? @ $i @ (^[Y4 : $i]: (!! @ $o @ (^[Y5 : $o]: (((c_In @ Y4 @ (c_binunion @ (X2 @ Y1) @ (c_Sing @ (X2 @ Y1)))) => (((!! @ $i @ (^[Y6 : $i]: ((c_In @ Y6 @ (c_binunion @ (X2 @ Y1) @ (c_Sing @ (X2 @ Y1)))) => (c_In @ Y6 @ (c_Power @ Y4))))) => c_False) => Y5)) => Y5))))) => (((?? @ $i @ (^[Y4 : $i]: (!! @ $o @ (^[Y5 : $o]: (((!! @ $i @ (^[Y6 : $i]: ((c_In @ Y6 @ Y4) => (c_In @ Y6 @ (c_binunion @ (X2 @ Y1) @ (c_Sing @ (X2 @ Y1))))))) => ((!! @ $o @ (^[Y6 : $o]: ((((!! @ $i @ (^[Y7 : $i]: ((c_In @ Y7 @ (c_binunion @ (X2 @ Y1) @ (c_Sing @ (X2 @ Y1)))) => (c_In @ Y7 @ Y4)))) => c_False) => ((?? @ $i @ (^[Y7 : $i]: (!! @ $o @ (^[Y8 : $o]: (((c_In @ Y7 @ Y4) => (((!! @ $i @ (^[Y9 : $i]: ((c_In @ Y9 @ Y4) => (c_In @ Y9 @ (c_Power @ Y7))))) => c_False) => Y8)) => Y8))))) => Y6)) => Y6))) => Y5)) => Y5))))) => c_False) => Y3)) => Y3))) => Y2)) => Y2)))))))))) => (?? @ $i @ (^[Y0 : $i]: (!! @ $o @ (^[Y1 : $o]: (((?? @ $i @ (^[Y2 : $i]: (!! @ $o @ (^[Y3 : $o]: (((!! @ $i @ (^[Y4 : $i]: ((c_In @ Y4 @ Y2) => (c_In @ Y4 @ Y0)))) => ((((X2 @ Y0) = Y0) => (?? @ $i @ (^[Y4 : $i]: (!! @ $o @ (^[Y5 : $o]: (((!! @ $i @ (^[Y6 : $i]: ((c_In @ Y6 @ Y4) => (c_In @ Y6 @ Y0)))) => (((X1 @ (c_lam @ Y2 @ (^[Y6 : $i]: (c_setsum @ (c_Power @ (c_setsum @ (c_Power @ (c_Power @ c_Empty)) @ (c_Power @ c_Empty))) @ (c_Power @ (c_Power @ (c_Power @ c_Empty))))))) => c_False) => Y5)) => Y5)))))) => Y3)) => Y3))))) => (((?? @ $i @ (^[Y2 : $i]: (!! @ $o @ (^[Y3 : $o]: (((!! @ $o @ (^[Y4 : $o]: (((!! @ $i @ (^[Y5 : $i]: ((c_In @ Y5 @ Y2) => (!! @ $i @ (^[Y6 : $i]: ((c_In @ Y6 @ Y5) => (c_In @ Y6 @ Y2))))))) => ((!! @ $i @ (^[Y5 : $i]: ((c_In @ Y5 @ Y2) => (!! @ $i @ (^[Y6 : $i]: ((c_In @ Y6 @ Y5) => (!! @ $i @ (^[Y7 : $i]: ((c_In @ Y7 @ Y6) => (c_In @ Y7 @ Y5)))))))))) => Y4)) => Y4))) => ((!! @ $o @ (^[Y4 : $o]: (((!! @ $i @ (^[Y5 : $i]: ((c_In @ Y5 @ Y0) => (c_In @ Y5 @ (c_binunion @ Y2 @ (c_Repl @ Y2 @ (^[Y6 : $i]: (c_SetAdjoin @ Y6 @ (c_Sing @ (c_binunion @ c_Empty @ (c_Sing @ c_Empty))))))))))) => ((!! @ $i @ (^[Y5 : $i]: ((c_In @ Y5 @ Y2) => (c_or @ (!! @ $o @ (^[Y6 : $o]: (((c_In @ (c_SetAdjoin @ Y5 @ (c_Sing @ (c_binunion @ c_Empty @ (c_Sing @ c_Empty)))) @ Y0) => (((c_In @ Y5 @ Y0) => c_False) => Y6)) => Y6))) @ (!! @ $o @ (^[Y6 : $o]: ((((c_In @ (c_SetAdjoin @ Y5 @ (c_Sing @ (c_binunion @ c_Empty @ (c_Sing @ c_Empty)))) @ Y0) => c_False) => ((c_In @ Y5 @ Y0) => Y6)) => Y6))))))) => Y4)) => Y4))) => Y3)) => Y3))))) => c_False) => Y1)) => Y1)))))) => (((X1 @ (X2 @ (X2 @ (X2 @ (c_setsum @ (c_setsum @ (c_Power @ (c_setsum @ (c_Power @ (c_Power @ c_Empty)) @ (c_Power @ c_Empty))) @ (c_Power @ (c_Power @ c_Empty))) @ (c_Power @ c_Empty)))))) => c_False) => X3)) => X3))) )),
% 7.38/1.44 inference(beta_eta_normalization,[],[f444])).
% 7.38/1.44 thf(f444,plain,(
% 7.38/1.44 ( ! [X2 : $i > $i,X3 : $o,X1 : $i > $o] : (($true = ((^[Y0 : $o]: (((((X1 @ (X2 @ (c_Eps_i @ (^[Y1 : $i]: (c_or @ (!! @ $o @ (^[Y2 : $o]: (((?? @ $i @ (^[Y3 : $i]: (!! @ $o @ (^[Y4 : $o]: (((c_In @ Y3 @ (X2 @ (c_Power @ c_Empty))) => ((c_In @ Y3 @ (X2 @ (c_setsum @ (c_Power @ (c_Power @ (c_Power @ c_Empty))) @ (c_Power @ c_Empty)))) => Y4)) => Y4))))) => (((c_Repl @ (X2 @ (c_Power @ c_Empty)) @ (^[Y3 : $i]: (c_Eps_i @ (^[Y4 : $i]: (c_or @ (!! @ $o @ (^[Y5 : $o]: (((c_In @ Y3 @ (X2 @ (c_setsum @ (c_Power @ (c_Power @ (c_Power @ c_Empty))) @ (c_Power @ c_Empty)))) => ((Y3 = Y4) => Y5)) => Y5))) @ (!! @ $o @ (^[Y5 : $o]: ((((c_In @ Y3 @ (X2 @ (c_setsum @ (c_Power @ (c_Power @ (c_Power @ c_Empty))) @ (c_Power @ c_Empty)))) => c_False) => (((c_Eps_i @ (^[Y6 : $i]: (!! @ $o @ (^[Y7 : $o]: (((c_In @ Y6 @ (X2 @ (c_Power @ c_Empty))) => ((c_In @ Y6 @ (X2 @ (c_setsum @ (c_Power @ (c_Power @ (c_Power @ c_Empty))) @ (c_Power @ c_Empty)))) => Y7)) => Y7))))) = Y4) => Y5)) => Y5)))))))) = Y1) => Y2)) => Y2))) @ (!! @ $o @ (^[Y2 : $o]: ((((?? @ $i @ (^[Y3 : $i]: (!! @ $o @ (^[Y4 : $o]: (((c_In @ Y3 @ (X2 @ (c_Power @ c_Empty))) => ((c_In @ Y3 @ (X2 @ (c_setsum @ (c_Power @ (c_Power @ (c_Power @ c_Empty))) @ (c_Power @ c_Empty)))) => Y4)) => Y4))))) => c_False) => ((c_Empty = Y1) => Y2)) => Y2)))))))) => ((!! @ $i @ (^[Y1 : $i]: ((c_In @ Y1 @ (X2 @ c_Empty)) => (!! @ $i @ (^[Y2 : $i]: ((c_In @ Y2 @ Y1) => (c_In @ Y2 @ (X2 @ c_Empty)))))))) => (!! @ $i @ (^[Y1 : $i]: ((c_In @ Y1 @ c_Empty) => (?? @ $i @ (^[Y2 : $i]: (!! @ $o @ (^[Y3 : $o]: (((!! @ $i @ (^[Y4 : $i]: ((c_In @ Y4 @ Y2) => (c_In @ Y4 @ Y1)))) => ((!! @ $o @ (^[Y4 : $o]: (((?? @ $i @ (^[Y5 : $i]: (!! @ $o @ (^[Y6 : $o]: (((c_In @ Y5 @ (c_binunion @ (X2 @ Y2) @ (c_Sing @ (X2 @ Y2)))) => (((!! @ $i @ (^[Y7 : $i]: ((c_In @ Y7 @ (c_binunion @ (X2 @ Y2) @ (c_Sing @ (X2 @ Y2)))) => (c_In @ Y7 @ (c_Power @ Y5))))) => c_False) => Y6)) => Y6))))) => (((?? @ $i @ (^[Y5 : $i]: (!! @ $o @ (^[Y6 : $o]: (((!! @ $i @ (^[Y7 : $i]: ((c_In @ Y7 @ Y5) => (c_In @ Y7 @ (c_binunion @ (X2 @ Y2) @ (c_Sing @ (X2 @ Y2))))))) => ((!! @ $o @ (^[Y7 : $o]: ((((!! @ $i @ (^[Y8 : $i]: ((c_In @ Y8 @ (c_binunion @ (X2 @ Y2) @ (c_Sing @ (X2 @ Y2)))) => (c_In @ Y8 @ Y5)))) => c_False) => ((?? @ $i @ (^[Y8 : $i]: (!! @ $o @ (^[Y9 : $o]: (((c_In @ Y8 @ Y5) => (((!! @ $i @ (^[Y10 : $i]: ((c_In @ Y10 @ Y5) => (c_In @ Y10 @ (c_Power @ Y8))))) => c_False) => Y9)) => Y9))))) => Y7)) => Y7))) => Y6)) => Y6))))) => c_False) => Y4)) => Y4))) => Y3)) => Y3)))))))))) => (?? @ $i @ (^[Y1 : $i]: (!! @ $o @ (^[Y2 : $o]: (((?? @ $i @ (^[Y3 : $i]: (!! @ $o @ (^[Y4 : $o]: (((!! @ $i @ (^[Y5 : $i]: ((c_In @ Y5 @ Y3) => (c_In @ Y5 @ Y1)))) => ((((X2 @ Y1) = Y1) => (?? @ $i @ (^[Y5 : $i]: (!! @ $o @ (^[Y6 : $o]: (((!! @ $i @ (^[Y7 : $i]: ((c_In @ Y7 @ Y5) => (c_In @ Y7 @ Y1)))) => (((X1 @ (c_lam @ Y3 @ (^[Y7 : $i]: (c_setsum @ (c_Power @ (c_setsum @ (c_Power @ (c_Power @ c_Empty)) @ (c_Power @ c_Empty))) @ (c_Power @ (c_Power @ (c_Power @ c_Empty))))))) => c_False) => Y6)) => Y6)))))) => Y4)) => Y4))))) => (((?? @ $i @ (^[Y3 : $i]: (!! @ $o @ (^[Y4 : $o]: (((!! @ $o @ (^[Y5 : $o]: (((!! @ $i @ (^[Y6 : $i]: ((c_In @ Y6 @ Y3) => (!! @ $i @ (^[Y7 : $i]: ((c_In @ Y7 @ Y6) => (c_In @ Y7 @ Y3))))))) => ((!! @ $i @ (^[Y6 : $i]: ((c_In @ Y6 @ Y3) => (!! @ $i @ (^[Y7 : $i]: ((c_In @ Y7 @ Y6) => (!! @ $i @ (^[Y8 : $i]: ((c_In @ Y8 @ Y7) => (c_In @ Y8 @ Y6)))))))))) => Y5)) => Y5))) => ((!! @ $o @ (^[Y5 : $o]: (((!! @ $i @ (^[Y6 : $i]: ((c_In @ Y6 @ Y1) => (c_In @ Y6 @ (c_binunion @ Y3 @ (c_Repl @ Y3 @ (^[Y7 : $i]: (c_SetAdjoin @ Y7 @ (c_Sing @ (c_binunion @ c_Empty @ (c_Sing @ c_Empty))))))))))) => ((!! @ $i @ (^[Y6 : $i]: ((c_In @ Y6 @ Y3) => (c_or @ (!! @ $o @ (^[Y7 : $o]: (((c_In @ (c_SetAdjoin @ Y6 @ (c_Sing @ (c_binunion @ c_Empty @ (c_Sing @ c_Empty)))) @ Y1) => (((c_In @ Y6 @ Y1) => c_False) => Y7)) => Y7))) @ (!! @ $o @ (^[Y7 : $o]: ((((c_In @ (c_SetAdjoin @ Y6 @ (c_Sing @ (c_binunion @ c_Empty @ (c_Sing @ c_Empty)))) @ Y1) => c_False) => ((c_In @ Y6 @ Y1) => Y7)) => Y7))))))) => Y5)) => Y5))) => Y4)) => Y4))))) => c_False) => Y2)) => Y2)))))) => (((X1 @ (X2 @ (X2 @ (X2 @ (c_setsum @ (c_setsum @ (c_Power @ (c_setsum @ (c_Power @ (c_Power @ c_Empty)) @ (c_Power @ c_Empty))) @ (c_Power @ (c_Power @ c_Empty))) @ (c_Power @ c_Empty)))))) => c_False) => Y0)) => Y0)) @ X3))) )),
% 7.38/1.44 inference(pi_clausification,[],[f443])).
% 7.38/1.44 thf(f443,plain,(
% 7.38/1.44 ( ! [X2 : $i > $i,X1 : $i > $o] : (((!! @ $o @ (^[Y0 : $o]: (((((X1 @ (X2 @ (c_Eps_i @ (^[Y1 : $i]: (c_or @ (!! @ $o @ (^[Y2 : $o]: (((?? @ $i @ (^[Y3 : $i]: (!! @ $o @ (^[Y4 : $o]: (((c_In @ Y3 @ (X2 @ (c_Power @ c_Empty))) => ((c_In @ Y3 @ (X2 @ (c_setsum @ (c_Power @ (c_Power @ (c_Power @ c_Empty))) @ (c_Power @ c_Empty)))) => Y4)) => Y4))))) => (((c_Repl @ (X2 @ (c_Power @ c_Empty)) @ (^[Y3 : $i]: (c_Eps_i @ (^[Y4 : $i]: (c_or @ (!! @ $o @ (^[Y5 : $o]: (((c_In @ Y3 @ (X2 @ (c_setsum @ (c_Power @ (c_Power @ (c_Power @ c_Empty))) @ (c_Power @ c_Empty)))) => ((Y3 = Y4) => Y5)) => Y5))) @ (!! @ $o @ (^[Y5 : $o]: ((((c_In @ Y3 @ (X2 @ (c_setsum @ (c_Power @ (c_Power @ (c_Power @ c_Empty))) @ (c_Power @ c_Empty)))) => c_False) => (((c_Eps_i @ (^[Y6 : $i]: (!! @ $o @ (^[Y7 : $o]: (((c_In @ Y6 @ (X2 @ (c_Power @ c_Empty))) => ((c_In @ Y6 @ (X2 @ (c_setsum @ (c_Power @ (c_Power @ (c_Power @ c_Empty))) @ (c_Power @ c_Empty)))) => Y7)) => Y7))))) = Y4) => Y5)) => Y5)))))))) = Y1) => Y2)) => Y2))) @ (!! @ $o @ (^[Y2 : $o]: ((((?? @ $i @ (^[Y3 : $i]: (!! @ $o @ (^[Y4 : $o]: (((c_In @ Y3 @ (X2 @ (c_Power @ c_Empty))) => ((c_In @ Y3 @ (X2 @ (c_setsum @ (c_Power @ (c_Power @ (c_Power @ c_Empty))) @ (c_Power @ c_Empty)))) => Y4)) => Y4))))) => c_False) => ((c_Empty = Y1) => Y2)) => Y2)))))))) => ((!! @ $i @ (^[Y1 : $i]: ((c_In @ Y1 @ (X2 @ c_Empty)) => (!! @ $i @ (^[Y2 : $i]: ((c_In @ Y2 @ Y1) => (c_In @ Y2 @ (X2 @ c_Empty)))))))) => (!! @ $i @ (^[Y1 : $i]: ((c_In @ Y1 @ c_Empty) => (?? @ $i @ (^[Y2 : $i]: (!! @ $o @ (^[Y3 : $o]: (((!! @ $i @ (^[Y4 : $i]: ((c_In @ Y4 @ Y2) => (c_In @ Y4 @ Y1)))) => ((!! @ $o @ (^[Y4 : $o]: (((?? @ $i @ (^[Y5 : $i]: (!! @ $o @ (^[Y6 : $o]: (((c_In @ Y5 @ (c_binunion @ (X2 @ Y2) @ (c_Sing @ (X2 @ Y2)))) => (((!! @ $i @ (^[Y7 : $i]: ((c_In @ Y7 @ (c_binunion @ (X2 @ Y2) @ (c_Sing @ (X2 @ Y2)))) => (c_In @ Y7 @ (c_Power @ Y5))))) => c_False) => Y6)) => Y6))))) => (((?? @ $i @ (^[Y5 : $i]: (!! @ $o @ (^[Y6 : $o]: (((!! @ $i @ (^[Y7 : $i]: ((c_In @ Y7 @ Y5) => (c_In @ Y7 @ (c_binunion @ (X2 @ Y2) @ (c_Sing @ (X2 @ Y2))))))) => ((!! @ $o @ (^[Y7 : $o]: ((((!! @ $i @ (^[Y8 : $i]: ((c_In @ Y8 @ (c_binunion @ (X2 @ Y2) @ (c_Sing @ (X2 @ Y2)))) => (c_In @ Y8 @ Y5)))) => c_False) => ((?? @ $i @ (^[Y8 : $i]: (!! @ $o @ (^[Y9 : $o]: (((c_In @ Y8 @ Y5) => (((!! @ $i @ (^[Y10 : $i]: ((c_In @ Y10 @ Y5) => (c_In @ Y10 @ (c_Power @ Y8))))) => c_False) => Y9)) => Y9))))) => Y7)) => Y7))) => Y6)) => Y6))))) => c_False) => Y4)) => Y4))) => Y3)) => Y3)))))))))) => (?? @ $i @ (^[Y1 : $i]: (!! @ $o @ (^[Y2 : $o]: (((?? @ $i @ (^[Y3 : $i]: (!! @ $o @ (^[Y4 : $o]: (((!! @ $i @ (^[Y5 : $i]: ((c_In @ Y5 @ Y3) => (c_In @ Y5 @ Y1)))) => ((((X2 @ Y1) = Y1) => (?? @ $i @ (^[Y5 : $i]: (!! @ $o @ (^[Y6 : $o]: (((!! @ $i @ (^[Y7 : $i]: ((c_In @ Y7 @ Y5) => (c_In @ Y7 @ Y1)))) => (((X1 @ (c_lam @ Y3 @ (^[Y7 : $i]: (c_setsum @ (c_Power @ (c_setsum @ (c_Power @ (c_Power @ c_Empty)) @ (c_Power @ c_Empty))) @ (c_Power @ (c_Power @ (c_Power @ c_Empty))))))) => c_False) => Y6)) => Y6)))))) => Y4)) => Y4))))) => (((?? @ $i @ (^[Y3 : $i]: (!! @ $o @ (^[Y4 : $o]: (((!! @ $o @ (^[Y5 : $o]: (((!! @ $i @ (^[Y6 : $i]: ((c_In @ Y6 @ Y3) => (!! @ $i @ (^[Y7 : $i]: ((c_In @ Y7 @ Y6) => (c_In @ Y7 @ Y3))))))) => ((!! @ $i @ (^[Y6 : $i]: ((c_In @ Y6 @ Y3) => (!! @ $i @ (^[Y7 : $i]: ((c_In @ Y7 @ Y6) => (!! @ $i @ (^[Y8 : $i]: ((c_In @ Y8 @ Y7) => (c_In @ Y8 @ Y6)))))))))) => Y5)) => Y5))) => ((!! @ $o @ (^[Y5 : $o]: (((!! @ $i @ (^[Y6 : $i]: ((c_In @ Y6 @ Y1) => (c_In @ Y6 @ (c_binunion @ Y3 @ (c_Repl @ Y3 @ (^[Y7 : $i]: (c_SetAdjoin @ Y7 @ (c_Sing @ (c_binunion @ c_Empty @ (c_Sing @ c_Empty))))))))))) => ((!! @ $i @ (^[Y6 : $i]: ((c_In @ Y6 @ Y3) => (c_or @ (!! @ $o @ (^[Y7 : $o]: (((c_In @ (c_SetAdjoin @ Y6 @ (c_Sing @ (c_binunion @ c_Empty @ (c_Sing @ c_Empty)))) @ Y1) => (((c_In @ Y6 @ Y1) => c_False) => Y7)) => Y7))) @ (!! @ $o @ (^[Y7 : $o]: ((((c_In @ (c_SetAdjoin @ Y6 @ (c_Sing @ (c_binunion @ c_Empty @ (c_Sing @ c_Empty)))) @ Y1) => c_False) => ((c_In @ Y6 @ Y1) => Y7)) => Y7))))))) => Y5)) => Y5))) => Y4)) => Y4))))) => c_False) => Y2)) => Y2)))))) => (((X1 @ (X2 @ (X2 @ (X2 @ (c_setsum @ (c_setsum @ (c_Power @ (c_setsum @ (c_Power @ (c_Power @ c_Empty)) @ (c_Power @ c_Empty))) @ (c_Power @ (c_Power @ c_Empty))) @ (c_Power @ c_Empty)))))) => c_False) => Y0)) => Y0))) = $true)) )),
% 7.38/1.44 inference(beta_eta_normalization,[],[f442])).
% 7.38/1.44 thf(f442,plain,(
% 7.38/1.44 ( ! [X2 : $i > $i,X1 : $i > $o] : (($true = ((^[Y0 : $i > $i]: (!! @ $o @ (^[Y1 : $o]: (((((X1 @ (Y0 @ (c_Eps_i @ (^[Y2 : $i]: (c_or @ (!! @ $o @ (^[Y3 : $o]: (((?? @ $i @ (^[Y4 : $i]: (!! @ $o @ (^[Y5 : $o]: (((c_In @ Y4 @ (Y0 @ (c_Power @ c_Empty))) => ((c_In @ Y4 @ (Y0 @ (c_setsum @ (c_Power @ (c_Power @ (c_Power @ c_Empty))) @ (c_Power @ c_Empty)))) => Y5)) => Y5))))) => (((c_Repl @ (Y0 @ (c_Power @ c_Empty)) @ (^[Y4 : $i]: (c_Eps_i @ (^[Y5 : $i]: (c_or @ (!! @ $o @ (^[Y6 : $o]: (((c_In @ Y4 @ (Y0 @ (c_setsum @ (c_Power @ (c_Power @ (c_Power @ c_Empty))) @ (c_Power @ c_Empty)))) => ((Y4 = Y5) => Y6)) => Y6))) @ (!! @ $o @ (^[Y6 : $o]: ((((c_In @ Y4 @ (Y0 @ (c_setsum @ (c_Power @ (c_Power @ (c_Power @ c_Empty))) @ (c_Power @ c_Empty)))) => c_False) => (((c_Eps_i @ (^[Y7 : $i]: (!! @ $o @ (^[Y8 : $o]: (((c_In @ Y7 @ (Y0 @ (c_Power @ c_Empty))) => ((c_In @ Y7 @ (Y0 @ (c_setsum @ (c_Power @ (c_Power @ (c_Power @ c_Empty))) @ (c_Power @ c_Empty)))) => Y8)) => Y8))))) = Y5) => Y6)) => Y6)))))))) = Y2) => Y3)) => Y3))) @ (!! @ $o @ (^[Y3 : $o]: ((((?? @ $i @ (^[Y4 : $i]: (!! @ $o @ (^[Y5 : $o]: (((c_In @ Y4 @ (Y0 @ (c_Power @ c_Empty))) => ((c_In @ Y4 @ (Y0 @ (c_setsum @ (c_Power @ (c_Power @ (c_Power @ c_Empty))) @ (c_Power @ c_Empty)))) => Y5)) => Y5))))) => c_False) => ((c_Empty = Y2) => Y3)) => Y3)))))))) => ((!! @ $i @ (^[Y2 : $i]: ((c_In @ Y2 @ (Y0 @ c_Empty)) => (!! @ $i @ (^[Y3 : $i]: ((c_In @ Y3 @ Y2) => (c_In @ Y3 @ (Y0 @ c_Empty)))))))) => (!! @ $i @ (^[Y2 : $i]: ((c_In @ Y2 @ c_Empty) => (?? @ $i @ (^[Y3 : $i]: (!! @ $o @ (^[Y4 : $o]: (((!! @ $i @ (^[Y5 : $i]: ((c_In @ Y5 @ Y3) => (c_In @ Y5 @ Y2)))) => ((!! @ $o @ (^[Y5 : $o]: (((?? @ $i @ (^[Y6 : $i]: (!! @ $o @ (^[Y7 : $o]: (((c_In @ Y6 @ (c_binunion @ (Y0 @ Y3) @ (c_Sing @ (Y0 @ Y3)))) => (((!! @ $i @ (^[Y8 : $i]: ((c_In @ Y8 @ (c_binunion @ (Y0 @ Y3) @ (c_Sing @ (Y0 @ Y3)))) => (c_In @ Y8 @ (c_Power @ Y6))))) => c_False) => Y7)) => Y7))))) => (((?? @ $i @ (^[Y6 : $i]: (!! @ $o @ (^[Y7 : $o]: (((!! @ $i @ (^[Y8 : $i]: ((c_In @ Y8 @ Y6) => (c_In @ Y8 @ (c_binunion @ (Y0 @ Y3) @ (c_Sing @ (Y0 @ Y3))))))) => ((!! @ $o @ (^[Y8 : $o]: ((((!! @ $i @ (^[Y9 : $i]: ((c_In @ Y9 @ (c_binunion @ (Y0 @ Y3) @ (c_Sing @ (Y0 @ Y3)))) => (c_In @ Y9 @ Y6)))) => c_False) => ((?? @ $i @ (^[Y9 : $i]: (!! @ $o @ (^[Y10 : $o]: (((c_In @ Y9 @ Y6) => (((!! @ $i @ (^[Y11 : $i]: ((c_In @ Y11 @ Y6) => (c_In @ Y11 @ (c_Power @ Y9))))) => c_False) => Y10)) => Y10))))) => Y8)) => Y8))) => Y7)) => Y7))))) => c_False) => Y5)) => Y5))) => Y4)) => Y4)))))))))) => (?? @ $i @ (^[Y2 : $i]: (!! @ $o @ (^[Y3 : $o]: (((?? @ $i @ (^[Y4 : $i]: (!! @ $o @ (^[Y5 : $o]: (((!! @ $i @ (^[Y6 : $i]: ((c_In @ Y6 @ Y4) => (c_In @ Y6 @ Y2)))) => ((((Y0 @ Y2) = Y2) => (?? @ $i @ (^[Y6 : $i]: (!! @ $o @ (^[Y7 : $o]: (((!! @ $i @ (^[Y8 : $i]: ((c_In @ Y8 @ Y6) => (c_In @ Y8 @ Y2)))) => (((X1 @ (c_lam @ Y4 @ (^[Y8 : $i]: (c_setsum @ (c_Power @ (c_setsum @ (c_Power @ (c_Power @ c_Empty)) @ (c_Power @ c_Empty))) @ (c_Power @ (c_Power @ (c_Power @ c_Empty))))))) => c_False) => Y7)) => Y7)))))) => Y5)) => Y5))))) => (((?? @ $i @ (^[Y4 : $i]: (!! @ $o @ (^[Y5 : $o]: (((!! @ $o @ (^[Y6 : $o]: (((!! @ $i @ (^[Y7 : $i]: ((c_In @ Y7 @ Y4) => (!! @ $i @ (^[Y8 : $i]: ((c_In @ Y8 @ Y7) => (c_In @ Y8 @ Y4))))))) => ((!! @ $i @ (^[Y7 : $i]: ((c_In @ Y7 @ Y4) => (!! @ $i @ (^[Y8 : $i]: ((c_In @ Y8 @ Y7) => (!! @ $i @ (^[Y9 : $i]: ((c_In @ Y9 @ Y8) => (c_In @ Y9 @ Y7)))))))))) => Y6)) => Y6))) => ((!! @ $o @ (^[Y6 : $o]: (((!! @ $i @ (^[Y7 : $i]: ((c_In @ Y7 @ Y2) => (c_In @ Y7 @ (c_binunion @ Y4 @ (c_Repl @ Y4 @ (^[Y8 : $i]: (c_SetAdjoin @ Y8 @ (c_Sing @ (c_binunion @ c_Empty @ (c_Sing @ c_Empty))))))))))) => ((!! @ $i @ (^[Y7 : $i]: ((c_In @ Y7 @ Y4) => (c_or @ (!! @ $o @ (^[Y8 : $o]: (((c_In @ (c_SetAdjoin @ Y7 @ (c_Sing @ (c_binunion @ c_Empty @ (c_Sing @ c_Empty)))) @ Y2) => (((c_In @ Y7 @ Y2) => c_False) => Y8)) => Y8))) @ (!! @ $o @ (^[Y8 : $o]: ((((c_In @ (c_SetAdjoin @ Y7 @ (c_Sing @ (c_binunion @ c_Empty @ (c_Sing @ c_Empty)))) @ Y2) => c_False) => ((c_In @ Y7 @ Y2) => Y8)) => Y8))))))) => Y6)) => Y6))) => Y5)) => Y5))))) => c_False) => Y3)) => Y3)))))) => (((X1 @ (Y0 @ (Y0 @ (Y0 @ (c_setsum @ (c_setsum @ (c_Power @ (c_setsum @ (c_Power @ (c_Power @ c_Empty)) @ (c_Power @ c_Empty))) @ (c_Power @ (c_Power @ c_Empty))) @ (c_Power @ c_Empty)))))) => c_False) => Y1)) => Y1)))) @ X2))) )),
% 7.38/1.44 inference(pi_clausification,[],[f441])).
% 7.38/1.44 thf(f441,plain,(
% 7.38/1.44 ( ! [X1 : $i > $o] : (((!! @ ($i > $i) @ (^[Y0 : $i > $i]: (!! @ $o @ (^[Y1 : $o]: (((((X1 @ (Y0 @ (c_Eps_i @ (^[Y2 : $i]: (c_or @ (!! @ $o @ (^[Y3 : $o]: (((?? @ $i @ (^[Y4 : $i]: (!! @ $o @ (^[Y5 : $o]: (((c_In @ Y4 @ (Y0 @ (c_Power @ c_Empty))) => ((c_In @ Y4 @ (Y0 @ (c_setsum @ (c_Power @ (c_Power @ (c_Power @ c_Empty))) @ (c_Power @ c_Empty)))) => Y5)) => Y5))))) => (((c_Repl @ (Y0 @ (c_Power @ c_Empty)) @ (^[Y4 : $i]: (c_Eps_i @ (^[Y5 : $i]: (c_or @ (!! @ $o @ (^[Y6 : $o]: (((c_In @ Y4 @ (Y0 @ (c_setsum @ (c_Power @ (c_Power @ (c_Power @ c_Empty))) @ (c_Power @ c_Empty)))) => ((Y4 = Y5) => Y6)) => Y6))) @ (!! @ $o @ (^[Y6 : $o]: ((((c_In @ Y4 @ (Y0 @ (c_setsum @ (c_Power @ (c_Power @ (c_Power @ c_Empty))) @ (c_Power @ c_Empty)))) => c_False) => (((c_Eps_i @ (^[Y7 : $i]: (!! @ $o @ (^[Y8 : $o]: (((c_In @ Y7 @ (Y0 @ (c_Power @ c_Empty))) => ((c_In @ Y7 @ (Y0 @ (c_setsum @ (c_Power @ (c_Power @ (c_Power @ c_Empty))) @ (c_Power @ c_Empty)))) => Y8)) => Y8))))) = Y5) => Y6)) => Y6)))))))) = Y2) => Y3)) => Y3))) @ (!! @ $o @ (^[Y3 : $o]: ((((?? @ $i @ (^[Y4 : $i]: (!! @ $o @ (^[Y5 : $o]: (((c_In @ Y4 @ (Y0 @ (c_Power @ c_Empty))) => ((c_In @ Y4 @ (Y0 @ (c_setsum @ (c_Power @ (c_Power @ (c_Power @ c_Empty))) @ (c_Power @ c_Empty)))) => Y5)) => Y5))))) => c_False) => ((c_Empty = Y2) => Y3)) => Y3)))))))) => ((!! @ $i @ (^[Y2 : $i]: ((c_In @ Y2 @ (Y0 @ c_Empty)) => (!! @ $i @ (^[Y3 : $i]: ((c_In @ Y3 @ Y2) => (c_In @ Y3 @ (Y0 @ c_Empty)))))))) => (!! @ $i @ (^[Y2 : $i]: ((c_In @ Y2 @ c_Empty) => (?? @ $i @ (^[Y3 : $i]: (!! @ $o @ (^[Y4 : $o]: (((!! @ $i @ (^[Y5 : $i]: ((c_In @ Y5 @ Y3) => (c_In @ Y5 @ Y2)))) => ((!! @ $o @ (^[Y5 : $o]: (((?? @ $i @ (^[Y6 : $i]: (!! @ $o @ (^[Y7 : $o]: (((c_In @ Y6 @ (c_binunion @ (Y0 @ Y3) @ (c_Sing @ (Y0 @ Y3)))) => (((!! @ $i @ (^[Y8 : $i]: ((c_In @ Y8 @ (c_binunion @ (Y0 @ Y3) @ (c_Sing @ (Y0 @ Y3)))) => (c_In @ Y8 @ (c_Power @ Y6))))) => c_False) => Y7)) => Y7))))) => (((?? @ $i @ (^[Y6 : $i]: (!! @ $o @ (^[Y7 : $o]: (((!! @ $i @ (^[Y8 : $i]: ((c_In @ Y8 @ Y6) => (c_In @ Y8 @ (c_binunion @ (Y0 @ Y3) @ (c_Sing @ (Y0 @ Y3))))))) => ((!! @ $o @ (^[Y8 : $o]: ((((!! @ $i @ (^[Y9 : $i]: ((c_In @ Y9 @ (c_binunion @ (Y0 @ Y3) @ (c_Sing @ (Y0 @ Y3)))) => (c_In @ Y9 @ Y6)))) => c_False) => ((?? @ $i @ (^[Y9 : $i]: (!! @ $o @ (^[Y10 : $o]: (((c_In @ Y9 @ Y6) => (((!! @ $i @ (^[Y11 : $i]: ((c_In @ Y11 @ Y6) => (c_In @ Y11 @ (c_Power @ Y9))))) => c_False) => Y10)) => Y10))))) => Y8)) => Y8))) => Y7)) => Y7))))) => c_False) => Y5)) => Y5))) => Y4)) => Y4)))))))))) => (?? @ $i @ (^[Y2 : $i]: (!! @ $o @ (^[Y3 : $o]: (((?? @ $i @ (^[Y4 : $i]: (!! @ $o @ (^[Y5 : $o]: (((!! @ $i @ (^[Y6 : $i]: ((c_In @ Y6 @ Y4) => (c_In @ Y6 @ Y2)))) => ((((Y0 @ Y2) = Y2) => (?? @ $i @ (^[Y6 : $i]: (!! @ $o @ (^[Y7 : $o]: (((!! @ $i @ (^[Y8 : $i]: ((c_In @ Y8 @ Y6) => (c_In @ Y8 @ Y2)))) => (((X1 @ (c_lam @ Y4 @ (^[Y8 : $i]: (c_setsum @ (c_Power @ (c_setsum @ (c_Power @ (c_Power @ c_Empty)) @ (c_Power @ c_Empty))) @ (c_Power @ (c_Power @ (c_Power @ c_Empty))))))) => c_False) => Y7)) => Y7)))))) => Y5)) => Y5))))) => (((?? @ $i @ (^[Y4 : $i]: (!! @ $o @ (^[Y5 : $o]: (((!! @ $o @ (^[Y6 : $o]: (((!! @ $i @ (^[Y7 : $i]: ((c_In @ Y7 @ Y4) => (!! @ $i @ (^[Y8 : $i]: ((c_In @ Y8 @ Y7) => (c_In @ Y8 @ Y4))))))) => ((!! @ $i @ (^[Y7 : $i]: ((c_In @ Y7 @ Y4) => (!! @ $i @ (^[Y8 : $i]: ((c_In @ Y8 @ Y7) => (!! @ $i @ (^[Y9 : $i]: ((c_In @ Y9 @ Y8) => (c_In @ Y9 @ Y7)))))))))) => Y6)) => Y6))) => ((!! @ $o @ (^[Y6 : $o]: (((!! @ $i @ (^[Y7 : $i]: ((c_In @ Y7 @ Y2) => (c_In @ Y7 @ (c_binunion @ Y4 @ (c_Repl @ Y4 @ (^[Y8 : $i]: (c_SetAdjoin @ Y8 @ (c_Sing @ (c_binunion @ c_Empty @ (c_Sing @ c_Empty))))))))))) => ((!! @ $i @ (^[Y7 : $i]: ((c_In @ Y7 @ Y4) => (c_or @ (!! @ $o @ (^[Y8 : $o]: (((c_In @ (c_SetAdjoin @ Y7 @ (c_Sing @ (c_binunion @ c_Empty @ (c_Sing @ c_Empty)))) @ Y2) => (((c_In @ Y7 @ Y2) => c_False) => Y8)) => Y8))) @ (!! @ $o @ (^[Y8 : $o]: ((((c_In @ (c_SetAdjoin @ Y7 @ (c_Sing @ (c_binunion @ c_Empty @ (c_Sing @ c_Empty)))) @ Y2) => c_False) => ((c_In @ Y7 @ Y2) => Y8)) => Y8))))))) => Y6)) => Y6))) => Y5)) => Y5))))) => c_False) => Y3)) => Y3)))))) => (((X1 @ (Y0 @ (Y0 @ (Y0 @ (c_setsum @ (c_setsum @ (c_Power @ (c_setsum @ (c_Power @ (c_Power @ c_Empty)) @ (c_Power @ c_Empty))) @ (c_Power @ (c_Power @ c_Empty))) @ (c_Power @ c_Empty)))))) => c_False) => Y1)) => Y1))))) = $true)) )),
% 7.38/1.44 inference(beta_eta_normalization,[],[f440])).
% 7.38/1.44 thf(f440,plain,(
% 7.38/1.44 ( ! [X1 : $i > $o] : (($true = ((^[Y0 : $i > $o]: (!! @ ($i > $i) @ (^[Y1 : $i > $i]: (!! @ $o @ (^[Y2 : $o]: (((((Y0 @ (Y1 @ (c_Eps_i @ (^[Y3 : $i]: (c_or @ (!! @ $o @ (^[Y4 : $o]: (((?? @ $i @ (^[Y5 : $i]: (!! @ $o @ (^[Y6 : $o]: (((c_In @ Y5 @ (Y1 @ (c_Power @ c_Empty))) => ((c_In @ Y5 @ (Y1 @ (c_setsum @ (c_Power @ (c_Power @ (c_Power @ c_Empty))) @ (c_Power @ c_Empty)))) => Y6)) => Y6))))) => (((c_Repl @ (Y1 @ (c_Power @ c_Empty)) @ (^[Y5 : $i]: (c_Eps_i @ (^[Y6 : $i]: (c_or @ (!! @ $o @ (^[Y7 : $o]: (((c_In @ Y5 @ (Y1 @ (c_setsum @ (c_Power @ (c_Power @ (c_Power @ c_Empty))) @ (c_Power @ c_Empty)))) => ((Y5 = Y6) => Y7)) => Y7))) @ (!! @ $o @ (^[Y7 : $o]: ((((c_In @ Y5 @ (Y1 @ (c_setsum @ (c_Power @ (c_Power @ (c_Power @ c_Empty))) @ (c_Power @ c_Empty)))) => c_False) => (((c_Eps_i @ (^[Y8 : $i]: (!! @ $o @ (^[Y9 : $o]: (((c_In @ Y8 @ (Y1 @ (c_Power @ c_Empty))) => ((c_In @ Y8 @ (Y1 @ (c_setsum @ (c_Power @ (c_Power @ (c_Power @ c_Empty))) @ (c_Power @ c_Empty)))) => Y9)) => Y9))))) = Y6) => Y7)) => Y7)))))))) = Y3) => Y4)) => Y4))) @ (!! @ $o @ (^[Y4 : $o]: ((((?? @ $i @ (^[Y5 : $i]: (!! @ $o @ (^[Y6 : $o]: (((c_In @ Y5 @ (Y1 @ (c_Power @ c_Empty))) => ((c_In @ Y5 @ (Y1 @ (c_setsum @ (c_Power @ (c_Power @ (c_Power @ c_Empty))) @ (c_Power @ c_Empty)))) => Y6)) => Y6))))) => c_False) => ((c_Empty = Y3) => Y4)) => Y4)))))))) => ((!! @ $i @ (^[Y3 : $i]: ((c_In @ Y3 @ (Y1 @ c_Empty)) => (!! @ $i @ (^[Y4 : $i]: ((c_In @ Y4 @ Y3) => (c_In @ Y4 @ (Y1 @ c_Empty)))))))) => (!! @ $i @ (^[Y3 : $i]: ((c_In @ Y3 @ c_Empty) => (?? @ $i @ (^[Y4 : $i]: (!! @ $o @ (^[Y5 : $o]: (((!! @ $i @ (^[Y6 : $i]: ((c_In @ Y6 @ Y4) => (c_In @ Y6 @ Y3)))) => ((!! @ $o @ (^[Y6 : $o]: (((?? @ $i @ (^[Y7 : $i]: (!! @ $o @ (^[Y8 : $o]: (((c_In @ Y7 @ (c_binunion @ (Y1 @ Y4) @ (c_Sing @ (Y1 @ Y4)))) => (((!! @ $i @ (^[Y9 : $i]: ((c_In @ Y9 @ (c_binunion @ (Y1 @ Y4) @ (c_Sing @ (Y1 @ Y4)))) => (c_In @ Y9 @ (c_Power @ Y7))))) => c_False) => Y8)) => Y8))))) => (((?? @ $i @ (^[Y7 : $i]: (!! @ $o @ (^[Y8 : $o]: (((!! @ $i @ (^[Y9 : $i]: ((c_In @ Y9 @ Y7) => (c_In @ Y9 @ (c_binunion @ (Y1 @ Y4) @ (c_Sing @ (Y1 @ Y4))))))) => ((!! @ $o @ (^[Y9 : $o]: ((((!! @ $i @ (^[Y10 : $i]: ((c_In @ Y10 @ (c_binunion @ (Y1 @ Y4) @ (c_Sing @ (Y1 @ Y4)))) => (c_In @ Y10 @ Y7)))) => c_False) => ((?? @ $i @ (^[Y10 : $i]: (!! @ $o @ (^[Y11 : $o]: (((c_In @ Y10 @ Y7) => (((!! @ $i @ (^[Y12 : $i]: ((c_In @ Y12 @ Y7) => (c_In @ Y12 @ (c_Power @ Y10))))) => c_False) => Y11)) => Y11))))) => Y9)) => Y9))) => Y8)) => Y8))))) => c_False) => Y6)) => Y6))) => Y5)) => Y5)))))))))) => (?? @ $i @ (^[Y3 : $i]: (!! @ $o @ (^[Y4 : $o]: (((?? @ $i @ (^[Y5 : $i]: (!! @ $o @ (^[Y6 : $o]: (((!! @ $i @ (^[Y7 : $i]: ((c_In @ Y7 @ Y5) => (c_In @ Y7 @ Y3)))) => ((((Y1 @ Y3) = Y3) => (?? @ $i @ (^[Y7 : $i]: (!! @ $o @ (^[Y8 : $o]: (((!! @ $i @ (^[Y9 : $i]: ((c_In @ Y9 @ Y7) => (c_In @ Y9 @ Y3)))) => (((Y0 @ (c_lam @ Y5 @ (^[Y9 : $i]: (c_setsum @ (c_Power @ (c_setsum @ (c_Power @ (c_Power @ c_Empty)) @ (c_Power @ c_Empty))) @ (c_Power @ (c_Power @ (c_Power @ c_Empty))))))) => c_False) => Y8)) => Y8)))))) => Y6)) => Y6))))) => (((?? @ $i @ (^[Y5 : $i]: (!! @ $o @ (^[Y6 : $o]: (((!! @ $o @ (^[Y7 : $o]: (((!! @ $i @ (^[Y8 : $i]: ((c_In @ Y8 @ Y5) => (!! @ $i @ (^[Y9 : $i]: ((c_In @ Y9 @ Y8) => (c_In @ Y9 @ Y5))))))) => ((!! @ $i @ (^[Y8 : $i]: ((c_In @ Y8 @ Y5) => (!! @ $i @ (^[Y9 : $i]: ((c_In @ Y9 @ Y8) => (!! @ $i @ (^[Y10 : $i]: ((c_In @ Y10 @ Y9) => (c_In @ Y10 @ Y8)))))))))) => Y7)) => Y7))) => ((!! @ $o @ (^[Y7 : $o]: (((!! @ $i @ (^[Y8 : $i]: ((c_In @ Y8 @ Y3) => (c_In @ Y8 @ (c_binunion @ Y5 @ (c_Repl @ Y5 @ (^[Y9 : $i]: (c_SetAdjoin @ Y9 @ (c_Sing @ (c_binunion @ c_Empty @ (c_Sing @ c_Empty))))))))))) => ((!! @ $i @ (^[Y8 : $i]: ((c_In @ Y8 @ Y5) => (c_or @ (!! @ $o @ (^[Y9 : $o]: (((c_In @ (c_SetAdjoin @ Y8 @ (c_Sing @ (c_binunion @ c_Empty @ (c_Sing @ c_Empty)))) @ Y3) => (((c_In @ Y8 @ Y3) => c_False) => Y9)) => Y9))) @ (!! @ $o @ (^[Y9 : $o]: ((((c_In @ (c_SetAdjoin @ Y8 @ (c_Sing @ (c_binunion @ c_Empty @ (c_Sing @ c_Empty)))) @ Y3) => c_False) => ((c_In @ Y8 @ Y3) => Y9)) => Y9))))))) => Y7)) => Y7))) => Y6)) => Y6))))) => c_False) => Y4)) => Y4)))))) => (((Y0 @ (Y1 @ (Y1 @ (Y1 @ (c_setsum @ (c_setsum @ (c_Power @ (c_setsum @ (c_Power @ (c_Power @ c_Empty)) @ (c_Power @ c_Empty))) @ (c_Power @ (c_Power @ c_Empty))) @ (c_Power @ c_Empty)))))) => c_False) => Y2)) => Y2)))))) @ X1))) )),
% 7.38/1.44 inference(pi_clausification,[],[f434])).
% 7.38/1.44 thf(f434,plain,(
% 7.38/1.44 ((!! @ ($i > $o) @ (^[Y0 : $i > $o]: (!! @ ($i > $i) @ (^[Y1 : $i > $i]: (!! @ $o @ (^[Y2 : $o]: (((((Y0 @ (Y1 @ (c_Eps_i @ (^[Y3 : $i]: (c_or @ (!! @ $o @ (^[Y4 : $o]: (((?? @ $i @ (^[Y5 : $i]: (!! @ $o @ (^[Y6 : $o]: (((c_In @ Y5 @ (Y1 @ (c_Power @ c_Empty))) => ((c_In @ Y5 @ (Y1 @ (c_setsum @ (c_Power @ (c_Power @ (c_Power @ c_Empty))) @ (c_Power @ c_Empty)))) => Y6)) => Y6))))) => (((c_Repl @ (Y1 @ (c_Power @ c_Empty)) @ (^[Y5 : $i]: (c_Eps_i @ (^[Y6 : $i]: (c_or @ (!! @ $o @ (^[Y7 : $o]: (((c_In @ Y5 @ (Y1 @ (c_setsum @ (c_Power @ (c_Power @ (c_Power @ c_Empty))) @ (c_Power @ c_Empty)))) => ((Y5 = Y6) => Y7)) => Y7))) @ (!! @ $o @ (^[Y7 : $o]: ((((c_In @ Y5 @ (Y1 @ (c_setsum @ (c_Power @ (c_Power @ (c_Power @ c_Empty))) @ (c_Power @ c_Empty)))) => c_False) => (((c_Eps_i @ (^[Y8 : $i]: (!! @ $o @ (^[Y9 : $o]: (((c_In @ Y8 @ (Y1 @ (c_Power @ c_Empty))) => ((c_In @ Y8 @ (Y1 @ (c_setsum @ (c_Power @ (c_Power @ (c_Power @ c_Empty))) @ (c_Power @ c_Empty)))) => Y9)) => Y9))))) = Y6) => Y7)) => Y7)))))))) = Y3) => Y4)) => Y4))) @ (!! @ $o @ (^[Y4 : $o]: ((((?? @ $i @ (^[Y5 : $i]: (!! @ $o @ (^[Y6 : $o]: (((c_In @ Y5 @ (Y1 @ (c_Power @ c_Empty))) => ((c_In @ Y5 @ (Y1 @ (c_setsum @ (c_Power @ (c_Power @ (c_Power @ c_Empty))) @ (c_Power @ c_Empty)))) => Y6)) => Y6))))) => c_False) => ((c_Empty = Y3) => Y4)) => Y4)))))))) => ((!! @ $i @ (^[Y3 : $i]: ((c_In @ Y3 @ (Y1 @ c_Empty)) => (!! @ $i @ (^[Y4 : $i]: ((c_In @ Y4 @ Y3) => (c_In @ Y4 @ (Y1 @ c_Empty)))))))) => (!! @ $i @ (^[Y3 : $i]: ((c_In @ Y3 @ c_Empty) => (?? @ $i @ (^[Y4 : $i]: (!! @ $o @ (^[Y5 : $o]: (((!! @ $i @ (^[Y6 : $i]: ((c_In @ Y6 @ Y4) => (c_In @ Y6 @ Y3)))) => ((!! @ $o @ (^[Y6 : $o]: (((?? @ $i @ (^[Y7 : $i]: (!! @ $o @ (^[Y8 : $o]: (((c_In @ Y7 @ (c_binunion @ (Y1 @ Y4) @ (c_Sing @ (Y1 @ Y4)))) => (((!! @ $i @ (^[Y9 : $i]: ((c_In @ Y9 @ (c_binunion @ (Y1 @ Y4) @ (c_Sing @ (Y1 @ Y4)))) => (c_In @ Y9 @ (c_Power @ Y7))))) => c_False) => Y8)) => Y8))))) => (((?? @ $i @ (^[Y7 : $i]: (!! @ $o @ (^[Y8 : $o]: (((!! @ $i @ (^[Y9 : $i]: ((c_In @ Y9 @ Y7) => (c_In @ Y9 @ (c_binunion @ (Y1 @ Y4) @ (c_Sing @ (Y1 @ Y4))))))) => ((!! @ $o @ (^[Y9 : $o]: ((((!! @ $i @ (^[Y10 : $i]: ((c_In @ Y10 @ (c_binunion @ (Y1 @ Y4) @ (c_Sing @ (Y1 @ Y4)))) => (c_In @ Y10 @ Y7)))) => c_False) => ((?? @ $i @ (^[Y10 : $i]: (!! @ $o @ (^[Y11 : $o]: (((c_In @ Y10 @ Y7) => (((!! @ $i @ (^[Y12 : $i]: ((c_In @ Y12 @ Y7) => (c_In @ Y12 @ (c_Power @ Y10))))) => c_False) => Y11)) => Y11))))) => Y9)) => Y9))) => Y8)) => Y8))))) => c_False) => Y6)) => Y6))) => Y5)) => Y5)))))))))) => (?? @ $i @ (^[Y3 : $i]: (!! @ $o @ (^[Y4 : $o]: (((?? @ $i @ (^[Y5 : $i]: (!! @ $o @ (^[Y6 : $o]: (((!! @ $i @ (^[Y7 : $i]: ((c_In @ Y7 @ Y5) => (c_In @ Y7 @ Y3)))) => ((((Y1 @ Y3) = Y3) => (?? @ $i @ (^[Y7 : $i]: (!! @ $o @ (^[Y8 : $o]: (((!! @ $i @ (^[Y9 : $i]: ((c_In @ Y9 @ Y7) => (c_In @ Y9 @ Y3)))) => (((Y0 @ (c_lam @ Y5 @ (^[Y9 : $i]: (c_setsum @ (c_Power @ (c_setsum @ (c_Power @ (c_Power @ c_Empty)) @ (c_Power @ c_Empty))) @ (c_Power @ (c_Power @ (c_Power @ c_Empty))))))) => c_False) => Y8)) => Y8)))))) => Y6)) => Y6))))) => (((?? @ $i @ (^[Y5 : $i]: (!! @ $o @ (^[Y6 : $o]: (((!! @ $o @ (^[Y7 : $o]: (((!! @ $i @ (^[Y8 : $i]: ((c_In @ Y8 @ Y5) => (!! @ $i @ (^[Y9 : $i]: ((c_In @ Y9 @ Y8) => (c_In @ Y9 @ Y5))))))) => ((!! @ $i @ (^[Y8 : $i]: ((c_In @ Y8 @ Y5) => (!! @ $i @ (^[Y9 : $i]: ((c_In @ Y9 @ Y8) => (!! @ $i @ (^[Y10 : $i]: ((c_In @ Y10 @ Y9) => (c_In @ Y10 @ Y8)))))))))) => Y7)) => Y7))) => ((!! @ $o @ (^[Y7 : $o]: (((!! @ $i @ (^[Y8 : $i]: ((c_In @ Y8 @ Y3) => (c_In @ Y8 @ (c_binunion @ Y5 @ (c_Repl @ Y5 @ (^[Y9 : $i]: (c_SetAdjoin @ Y9 @ (c_Sing @ (c_binunion @ c_Empty @ (c_Sing @ c_Empty))))))))))) => ((!! @ $i @ (^[Y8 : $i]: ((c_In @ Y8 @ Y5) => (c_or @ (!! @ $o @ (^[Y9 : $o]: (((c_In @ (c_SetAdjoin @ Y8 @ (c_Sing @ (c_binunion @ c_Empty @ (c_Sing @ c_Empty)))) @ Y3) => (((c_In @ Y8 @ Y3) => c_False) => Y9)) => Y9))) @ (!! @ $o @ (^[Y9 : $o]: ((((c_In @ (c_SetAdjoin @ Y8 @ (c_Sing @ (c_binunion @ c_Empty @ (c_Sing @ c_Empty)))) @ Y3) => c_False) => ((c_In @ Y8 @ Y3) => Y9)) => Y9))))))) => Y7)) => Y7))) => Y6)) => Y6))))) => c_False) => Y4)) => Y4)))))) => (((Y0 @ (Y1 @ (Y1 @ (Y1 @ (c_setsum @ (c_setsum @ (c_Power @ (c_setsum @ (c_Power @ (c_Power @ c_Empty)) @ (c_Power @ c_Empty))) @ (c_Power @ (c_Power @ c_Empty))) @ (c_Power @ c_Empty)))))) => c_False) => Y2)) => Y2))))))) = $true)),
% 7.38/1.44 inference(binary_proxy_clausification,[],[f432])).
% 7.38/1.44 % SZS output end Proof for theBenchmark
% 7.38/1.44 % (23790)------------------------------
% 7.38/1.44 % (23790)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 7.38/1.44 % (23790)Termination reason: Refutation
% 7.38/1.44
% 7.38/1.44 % (23790)Memory used [KB]: 7803
% 7.38/1.44 % (23790)Time elapsed: 0.097 s
% 7.38/1.44 % (23790)Instructions burned: 226 (million)
% 7.38/1.44 % (23790)------------------------------
% 7.38/1.44 % (23790)------------------------------
% 7.38/1.44 % (23368)Success in time 1.082 s
% 7.38/1.44 % Vampire---4.8 exiting
%------------------------------------------------------------------------------