TSTP Solution File: SEV058^5 by Vampire---4.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SEV058^5 : TPTP v8.1.2. Released v4.0.0.
% 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 : n017.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Sun May 5 09:41:13 EDT 2024
% Result : Theorem 0.22s 0.47s
% Output : Refutation 0.22s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : SEV058^5 : TPTP v8.1.2. Released v4.0.0.
% 0.12/0.15 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.14/0.36 % Computer : n017.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Fri May 3 11:29:21 EDT 2024
% 0.14/0.36 % CPUTime :
% 0.14/0.36 This is a TH0_THM_NEQ_NAR problem
% 0.14/0.36 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/tmp/tmp.XVbQNm8T3Y/Vampire---4.8_10132
% 0.14/0.38 % (10378)lrs+1002_1:1_au=on:bd=off:e2e=on:sd=2:sos=on:ss=axioms:i=275:si=on:rtra=on_0 on Vampire---4 for (3000ds/275Mi)
% 0.14/0.38 % (10379)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on Vampire---4 for (3000ds/18Mi)
% 0.14/0.38 % (10373)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on Vampire---4 for (3000ds/183Mi)
% 0.14/0.38 % (10374)lrs+10_1:1_c=on:cnfonf=conj_eager:fd=off:fe=off:kws=frequency:spb=intro:i=4:si=on:rtra=on_0 on Vampire---4 for (3000ds/4Mi)
% 0.14/0.38 % (10380)lrs+10_1:1_bet=on:cnfonf=off:fd=off:hud=5:inj=on:i=3:si=on:rtra=on_0 on Vampire---4 for (3000ds/3Mi)
% 0.14/0.38 % (10375)dis+1010_1:1_au=on:cbe=off:chr=on:fsr=off:hfsq=on:nm=64:sos=theory:sp=weighted_frequency:i=27:si=on:rtra=on_0 on Vampire---4 for (3000ds/27Mi)
% 0.14/0.38 % (10376)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on Vampire---4 for (3000ds/2Mi)
% 0.14/0.38 % (10377)lrs+1002_1:128_aac=none:au=on:cnfonf=lazy_not_gen_be_off:sos=all:i=2:si=on:rtra=on_0 on Vampire---4 for (3000ds/2Mi)
% 0.14/0.38 % (10376)Instruction limit reached!
% 0.14/0.38 % (10376)------------------------------
% 0.14/0.38 % (10376)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.38 % (10377)Instruction limit reached!
% 0.14/0.38 % (10377)------------------------------
% 0.14/0.38 % (10377)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.38 % (10376)Termination reason: Unknown
% 0.14/0.38 % (10376)Termination phase: Saturation
% 0.14/0.38
% 0.14/0.38 % (10376)Memory used [KB]: 5500
% 0.14/0.38 % (10376)Time elapsed: 0.003 s
% 0.14/0.38 % (10376)Instructions burned: 2 (million)
% 0.14/0.38 % (10376)------------------------------
% 0.14/0.38 % (10376)------------------------------
% 0.14/0.38 % (10377)Termination reason: Unknown
% 0.14/0.38 % (10377)Termination phase: Saturation
% 0.14/0.38
% 0.14/0.38 % (10377)Memory used [KB]: 5373
% 0.14/0.38 % (10377)Time elapsed: 0.003 s
% 0.14/0.38 % (10377)Instructions burned: 2 (million)
% 0.14/0.38 % (10377)------------------------------
% 0.14/0.38 % (10377)------------------------------
% 0.14/0.38 % (10380)Instruction limit reached!
% 0.14/0.38 % (10380)------------------------------
% 0.14/0.38 % (10380)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.38 % (10380)Termination reason: Unknown
% 0.14/0.38 % (10380)Termination phase: Saturation
% 0.14/0.38
% 0.14/0.38 % (10380)Memory used [KB]: 5500
% 0.14/0.38 % (10380)Time elapsed: 0.005 s
% 0.14/0.38 % (10380)Instructions burned: 4 (million)
% 0.14/0.38 % (10380)------------------------------
% 0.14/0.38 % (10380)------------------------------
% 0.14/0.38 % (10374)Instruction limit reached!
% 0.14/0.38 % (10374)------------------------------
% 0.14/0.38 % (10374)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.38 % (10374)Termination reason: Unknown
% 0.14/0.38 % (10374)Termination phase: Saturation
% 0.14/0.38
% 0.14/0.38 % (10374)Memory used [KB]: 5500
% 0.14/0.38 % (10374)Time elapsed: 0.005 s
% 0.14/0.38 % (10374)Instructions burned: 4 (million)
% 0.14/0.38 % (10374)------------------------------
% 0.14/0.38 % (10374)------------------------------
% 0.14/0.38 % (10375)Refutation not found, incomplete strategy
% 0.14/0.38 % (10375)------------------------------
% 0.14/0.38 % (10375)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.38 % (10375)Termination reason: Refutation not found, incomplete strategy
% 0.14/0.38
% 0.14/0.38
% 0.14/0.38 % (10375)Memory used [KB]: 5500
% 0.14/0.38 % (10375)Time elapsed: 0.005 s
% 0.14/0.38 % (10375)Instructions burned: 5 (million)
% 0.14/0.38 % (10375)------------------------------
% 0.14/0.38 % (10375)------------------------------
% 0.14/0.39 % (10379)Instruction limit reached!
% 0.14/0.39 % (10379)------------------------------
% 0.14/0.39 % (10379)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.39 % (10379)Termination reason: Unknown
% 0.14/0.39 % (10379)Termination phase: Saturation
% 0.14/0.39
% 0.14/0.39 % (10379)Memory used [KB]: 5628
% 0.14/0.39 % (10379)Time elapsed: 0.014 s
% 0.14/0.39 % (10379)Instructions burned: 19 (million)
% 0.14/0.39 % (10379)------------------------------
% 0.14/0.39 % (10379)------------------------------
% 0.14/0.40 % (10381)lrs+1002_1:1_cnfonf=lazy_not_be_gen:hud=14:prag=on:sp=weighted_frequency:tnu=1:i=37:si=on:rtra=on_0 on Vampire---4 for (2999ds/37Mi)
% 0.14/0.40 % (10382)lrs+2_16:1_acc=model:au=on:bd=off:c=on:e2e=on:nm=2:sos=all:i=15:si=on:rtra=on_0 on Vampire---4 for (2999ds/15Mi)
% 0.14/0.40 % (10378)Refutation not found, incomplete strategy
% 0.14/0.40 % (10378)------------------------------
% 0.14/0.40 % (10378)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.40 % (10378)Termination reason: Refutation not found, incomplete strategy
% 0.14/0.40
% 0.14/0.40
% 0.14/0.40 % (10378)Memory used [KB]: 5628
% 0.14/0.40 % (10378)Time elapsed: 0.018 s
% 0.14/0.40 % (10378)Instructions burned: 26 (million)
% 0.14/0.40 % (10378)------------------------------
% 0.14/0.40 % (10378)------------------------------
% 0.14/0.40 % (10383)dis+21_1:1_cbe=off:cnfonf=off:fs=off:fsr=off:hud=1:inj=on:i=3:si=on:rtra=on_0 on Vampire---4 for (2999ds/3Mi)
% 0.14/0.40 % (10384)lrs+1002_1:1_aac=none:au=on:cnfonf=lazy_gen:plsq=on:plsqc=1:plsqr=4203469,65536:i=1041:si=on:rtra=on_0 on Vampire---4 for (2999ds/1041Mi)
% 0.14/0.40 % (10385)lrs+10_1:1_av=off:chr=on:plsq=on:slsq=on:i=7:si=on:rtra=on_0 on Vampire---4 for (2999ds/7Mi)
% 0.14/0.40 % (10383)Instruction limit reached!
% 0.14/0.40 % (10383)------------------------------
% 0.14/0.40 % (10383)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.40 % (10383)Termination reason: Unknown
% 0.14/0.40 % (10383)Termination phase: Saturation
% 0.14/0.40
% 0.14/0.40 % (10383)Memory used [KB]: 5500
% 0.14/0.40 % (10383)Time elapsed: 0.004 s
% 0.14/0.40 % (10383)Instructions burned: 3 (million)
% 0.14/0.40 % (10383)------------------------------
% 0.14/0.40 % (10383)------------------------------
% 0.14/0.40 % (10385)Instruction limit reached!
% 0.14/0.40 % (10385)------------------------------
% 0.14/0.40 % (10385)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.40 % (10385)Termination reason: Unknown
% 0.14/0.40 % (10385)Termination phase: Saturation
% 0.14/0.40
% 0.14/0.40 % (10385)Memory used [KB]: 1023
% 0.14/0.40 % (10385)Time elapsed: 0.007 s
% 0.14/0.40 % (10385)Instructions burned: 7 (million)
% 0.14/0.40 % (10385)------------------------------
% 0.14/0.40 % (10385)------------------------------
% 0.14/0.41 % (10382)Instruction limit reached!
% 0.14/0.41 % (10382)------------------------------
% 0.14/0.41 % (10382)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.41 % (10382)Termination reason: Unknown
% 0.14/0.41 % (10382)Termination phase: Saturation
% 0.14/0.41
% 0.14/0.41 % (10382)Memory used [KB]: 5628
% 0.14/0.41 % (10382)Time elapsed: 0.012 s
% 0.14/0.41 % (10382)Instructions burned: 15 (million)
% 0.14/0.41 % (10382)------------------------------
% 0.14/0.41 % (10382)------------------------------
% 0.14/0.41 % (10386)lrs+10_1:1_acc=on:amm=sco:cs=on:tgt=full:i=16:si=on:rtra=on_0 on Vampire---4 for (2999ds/16Mi)
% 0.14/0.41 % (10387)lrs+21_1:1_au=on:cnfonf=off:fd=preordered:fe=off:fsr=off:hud=11:inj=on:kws=precedence:s2pl=no:sp=weighted_frequency:tgt=full:i=3:si=on:rtra=on_0 on Vampire---4 for (2999ds/3Mi)
% 0.14/0.41 % (10387)Instruction limit reached!
% 0.14/0.41 % (10387)------------------------------
% 0.14/0.41 % (10387)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.41 % (10387)Termination reason: Unknown
% 0.14/0.41 % (10387)Termination phase: Property scanning
% 0.14/0.41
% 0.14/0.41 % (10387)Memory used [KB]: 1023
% 0.14/0.41 % (10387)Time elapsed: 0.004 s
% 0.14/0.41 % (10387)Instructions burned: 3 (million)
% 0.14/0.41 % (10388)lrs+2_1:1_apa=on:au=on:bd=preordered:cnfonf=off:cs=on:ixr=off:sos=on:i=3:si=on:rtra=on_0 on Vampire---4 for (2999ds/3Mi)
% 0.14/0.41 % (10387)------------------------------
% 0.14/0.41 % (10387)------------------------------
% 0.14/0.42 % (10388)Instruction limit reached!
% 0.14/0.42 % (10388)------------------------------
% 0.14/0.42 % (10388)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.42 % (10388)Termination reason: Unknown
% 0.14/0.42 % (10388)Termination phase: Saturation
% 0.14/0.42
% 0.14/0.42 % (10388)Memory used [KB]: 1023
% 0.14/0.42 % (10388)Time elapsed: 0.004 s
% 0.14/0.42 % (10388)Instructions burned: 3 (million)
% 0.14/0.42 % (10388)------------------------------
% 0.14/0.42 % (10388)------------------------------
% 0.14/0.42 % (10386)Instruction limit reached!
% 0.14/0.42 % (10386)------------------------------
% 0.14/0.42 % (10386)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.42 % (10386)Termination reason: Unknown
% 0.14/0.42 % (10386)Termination phase: Saturation
% 0.14/0.42
% 0.14/0.42 % (10386)Memory used [KB]: 5628
% 0.14/0.42 % (10386)Time elapsed: 0.013 s
% 0.14/0.42 % (10386)Instructions burned: 16 (million)
% 0.14/0.42 % (10386)------------------------------
% 0.14/0.42 % (10386)------------------------------
% 0.14/0.42 % (10381)Instruction limit reached!
% 0.14/0.42 % (10381)------------------------------
% 0.14/0.42 % (10381)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.42 % (10381)Termination reason: Unknown
% 0.14/0.42 % (10381)Termination phase: Saturation
% 0.14/0.42
% 0.14/0.42 % (10381)Memory used [KB]: 6012
% 0.14/0.42 % (10381)Time elapsed: 0.024 s
% 0.14/0.42 % (10381)Instructions burned: 38 (million)
% 0.14/0.42 % (10381)------------------------------
% 0.14/0.42 % (10381)------------------------------
% 0.14/0.42 % (10389)lrs+10_1:1_cnfonf=off:cs=on:hud=3:prag=on:sup=off:i=7:si=on:rtra=on_0 on Vampire---4 for (2999ds/7Mi)
% 0.14/0.42 % (10390)dis+1002_1:1_add=large:cnfonf=lazy_pi_sigma_gen:fe=off:prag=on:i=3:si=on:rtra=on_0 on Vampire---4 for (2999ds/3Mi)
% 0.22/0.42 % (10390)Instruction limit reached!
% 0.22/0.42 % (10390)------------------------------
% 0.22/0.42 % (10390)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.42 % (10390)Termination reason: Unknown
% 0.22/0.42 % (10390)Termination phase: Saturation
% 0.22/0.42
% 0.22/0.42 % (10390)Memory used [KB]: 5500
% 0.22/0.42 % (10390)Time elapsed: 0.004 s
% 0.22/0.42 % (10390)Instructions burned: 3 (million)
% 0.22/0.42 % (10390)------------------------------
% 0.22/0.42 % (10390)------------------------------
% 0.22/0.42 % (10389)Instruction limit reached!
% 0.22/0.42 % (10389)------------------------------
% 0.22/0.42 % (10389)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.42 % (10389)Termination reason: Unknown
% 0.22/0.42 % (10389)Termination phase: Saturation
% 0.22/0.42
% 0.22/0.42 % (10389)Memory used [KB]: 5500
% 0.22/0.42 % (10389)Time elapsed: 0.006 s
% 0.22/0.42 % (10389)Instructions burned: 7 (million)
% 0.22/0.42 % (10389)------------------------------
% 0.22/0.42 % (10389)------------------------------
% 0.22/0.43 % (10394)lrs+1002_1:1_anc=all_dependent:au=on:cbe=off:fde=unused:ntd=on:i=18:si=on:rtra=on_0 on Vampire---4 for (2999ds/18Mi)
% 0.22/0.43 % (10396)lrs+10_1:1_e2e=on:sd=1:sgt=8:ss=axioms:i=710:si=on:rtra=on_0 on Vampire---4 for (2999ds/710Mi)
% 0.22/0.43 % (10393)dis+1004_1:1_cha=on:cs=on:fe=off:hud=1:i=4:si=on:rtra=on_0 on Vampire---4 for (2999ds/4Mi)
% 0.22/0.43 % (10394)Refutation not found, incomplete strategy
% 0.22/0.43 % (10394)------------------------------
% 0.22/0.43 % (10394)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.43 % (10394)Termination reason: Refutation not found, incomplete strategy
% 0.22/0.43
% 0.22/0.43
% 0.22/0.43 % (10394)Memory used [KB]: 5500
% 0.22/0.43 % (10394)Time elapsed: 0.004 s
% 0.22/0.43 % (10394)Instructions burned: 3 (million)
% 0.22/0.43 % (10394)------------------------------
% 0.22/0.43 % (10394)------------------------------
% 0.22/0.43 % (10393)Instruction limit reached!
% 0.22/0.43 % (10393)------------------------------
% 0.22/0.43 % (10393)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.43 % (10393)Termination reason: Unknown
% 0.22/0.43 % (10393)Termination phase: Saturation
% 0.22/0.43
% 0.22/0.43 % (10393)Memory used [KB]: 5500
% 0.22/0.43 % (10393)Time elapsed: 0.026 s
% 0.22/0.43 % (10393)Instructions burned: 4 (million)
% 0.22/0.43 % (10393)------------------------------
% 0.22/0.43 % (10393)------------------------------
% 0.22/0.44 % (10397)lrs+1004_1:1_chr=on:prag=on:i=6:si=on:rtra=on_0 on Vampire---4 for (2999ds/6Mi)
% 0.22/0.44 % (10399)dis+21_1:8_apa=on:cnfonf=off:fd=off:fsr=off:hud=0:ins=1:kws=inv_frequency:nwc=10.0:ss=axioms:st=5.0:i=21:si=on:rtra=on_0 on Vampire---4 for (2999ds/21Mi)
% 0.22/0.44 % (10397)Instruction limit reached!
% 0.22/0.44 % (10397)------------------------------
% 0.22/0.44 % (10397)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.44 % (10397)Termination reason: Unknown
% 0.22/0.44 % (10397)Termination phase: Saturation
% 0.22/0.44
% 0.22/0.44 % (10397)Memory used [KB]: 5500
% 0.22/0.44 % (10397)Time elapsed: 0.006 s
% 0.22/0.44 % (10397)Instructions burned: 6 (million)
% 0.22/0.44 % (10397)------------------------------
% 0.22/0.44 % (10397)------------------------------
% 0.22/0.45 % (10400)dis+10_1:1_cnfonf=lazy_gen:fe=off:i=5:si=on:rtra=on_0 on Vampire---4 for (2999ds/5Mi)
% 0.22/0.45 % (10398)dis+1002_5:1_au=on:bd=off:e2e=on:fde=none:fs=off:fsr=off:sos=on:i=902:si=on:rtra=on_0 on Vampire---4 for (2999ds/902Mi)
% 0.22/0.45 % (10399)Instruction limit reached!
% 0.22/0.45 % (10399)------------------------------
% 0.22/0.45 % (10399)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.45 % (10399)Termination reason: Unknown
% 0.22/0.45 % (10400)Instruction limit reached!
% 0.22/0.45 % (10400)------------------------------
% 0.22/0.45 % (10400)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.45 % (10400)Termination reason: Unknown
% 0.22/0.45 % (10400)Termination phase: Saturation
% 0.22/0.45
% 0.22/0.45 % (10400)Memory used [KB]: 5500
% 0.22/0.45 % (10400)Time elapsed: 0.005 s
% 0.22/0.45 % (10400)Instructions burned: 5 (million)
% 0.22/0.45 % (10400)------------------------------
% 0.22/0.45 % (10400)------------------------------
% 0.22/0.45 % (10399)Termination phase: Saturation
% 0.22/0.45
% 0.22/0.45 % (10399)Memory used [KB]: 5628
% 0.22/0.45 % (10399)Time elapsed: 0.037 s
% 0.22/0.45 % (10399)Instructions burned: 21 (million)
% 0.22/0.45 % (10399)------------------------------
% 0.22/0.45 % (10399)------------------------------
% 0.22/0.46 % (10402)lrs+1002_1:128_au=on:c=on:fsr=off:piset=equals:i=377:si=on:rtra=on_0 on Vampire---4 for (2999ds/377Mi)
% 0.22/0.46 % (10384)First to succeed.
% 0.22/0.47 % (10403)dis+1010_1:4_atotf=0.2:c=on:cbe=off:cnfonf=lazy_simp:fe=off:ins=2:ntd=on:s2a=on:s2at=5.0:sgt=5:ss=axioms:st=1.5:i=779:si=on:rtra=on_0 on Vampire---4 for (2999ds/779Mi)
% 0.22/0.47 % (10384)Refutation found. Thanks to Tanya!
% 0.22/0.47 % SZS status Theorem for Vampire---4
% 0.22/0.47 % SZS output start Proof for Vampire---4
% 0.22/0.47 thf(func_def_14, type, ph1: !>[X0: $tType]:(X0)).
% 0.22/0.47 thf(func_def_15, type, sK2: (($i > $o) > ($i > $o) > $o) > $i > $o).
% 0.22/0.47 thf(func_def_16, type, sK3: (($i > $o) > ($i > $o) > $o) > $i > $o).
% 0.22/0.47 thf(func_def_17, type, sK4: (($i > $o) > ($i > $o) > $o) > $i > $o).
% 0.22/0.47 thf(func_def_18, type, sK5: (($i > $o) > ($i > $o) > $o) > $i > $o).
% 0.22/0.47 thf(func_def_19, type, sK6: (($i > $o) > ($i > $o) > $o) > $i > $o).
% 0.22/0.47 thf(func_def_20, type, sK7: (($i > $o) > ($i > $o) > $o) > $i > $o).
% 0.22/0.47 thf(func_def_22, type, sK8: $i > $o).
% 0.22/0.47 thf(func_def_24, type, sK10: $i > $o).
% 0.22/0.47 thf(func_def_27, type, sK13: (($i > $o) > ($i > $o) > $o) > $i).
% 0.22/0.47 thf(func_def_29, type, sK15: $i > $o).
% 0.22/0.47 thf(func_def_30, type, sK16: $i > $o).
% 0.22/0.47 thf(f449,plain,(
% 0.22/0.47 $false),
% 0.22/0.47 inference(avatar_sat_refutation,[],[f64,f117,f121,f320,f353,f398,f402,f403,f448])).
% 0.22/0.47 thf(f448,plain,(
% 0.22/0.47 spl0_18 | ~spl0_21),
% 0.22/0.47 inference(avatar_split_clause,[],[f443,f400,f318])).
% 0.22/0.47 thf(f318,plain,(
% 0.22/0.47 spl0_18 <=> (((sK3 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (Y1 = Y0))))) = (sK2 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (Y1 = Y0)))))) = $true)),
% 0.22/0.47 introduced(avatar_definition,[new_symbols(naming,[spl0_18])])).
% 0.22/0.47 thf(f400,plain,(
% 0.22/0.47 spl0_21 <=> ((((sK2 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (Y1 = Y0))))) = (sK4 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (Y1 = Y0)))))) & ((sK3 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (Y1 = Y0))))) = (sK2 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (Y1 = Y0))))))) = $true)),
% 0.22/0.47 introduced(avatar_definition,[new_symbols(naming,[spl0_21])])).
% 0.22/0.47 thf(f443,plain,(
% 0.22/0.47 (((sK3 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (Y1 = Y0))))) = (sK2 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (Y1 = Y0)))))) = $true) | ~spl0_21),
% 0.22/0.47 inference(binary_proxy_clausification,[],[f401])).
% 0.22/0.47 thf(f401,plain,(
% 0.22/0.47 ((((sK2 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (Y1 = Y0))))) = (sK4 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (Y1 = Y0)))))) & ((sK3 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (Y1 = Y0))))) = (sK2 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (Y1 = Y0))))))) = $true) | ~spl0_21),
% 0.22/0.47 inference(avatar_component_clause,[],[f400])).
% 0.22/0.47 thf(f403,plain,(
% 0.22/0.47 spl0_3 | spl0_1 | spl0_7 | ~spl0_2),
% 0.22/0.47 inference(avatar_split_clause,[],[f391,f59,f91,f56,f62])).
% 0.22/0.47 thf(f62,plain,(
% 0.22/0.47 spl0_3 <=> (((sK3 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (Y1 = Y0))))) = (sK4 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (Y1 = Y0)))))) = $false)),
% 0.22/0.47 introduced(avatar_definition,[new_symbols(naming,[spl0_3])])).
% 0.22/0.47 thf(f56,plain,(
% 0.22/0.47 spl0_1 <=> ($false = (!! @ ($i > $o) @ (^[Y0 : $i > $o]: ($true))))),
% 0.22/0.47 introduced(avatar_definition,[new_symbols(naming,[spl0_1])])).
% 0.22/0.47 thf(f91,plain,(
% 0.22/0.47 spl0_7 <=> ($false = (!! @ $i @ (^[Y0 : $i]: ($true))))),
% 0.22/0.47 introduced(avatar_definition,[new_symbols(naming,[spl0_7])])).
% 0.22/0.47 thf(f59,plain,(
% 0.22/0.47 spl0_2 <=> (((sK6 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (Y1 = Y0))))) = (sK5 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (Y1 = Y0)))))) = $true)),
% 0.22/0.47 introduced(avatar_definition,[new_symbols(naming,[spl0_2])])).
% 0.22/0.47 thf(f391,plain,(
% 0.22/0.47 ($false = (!! @ ($i > $o) @ (^[Y0 : $i > $o]: ($true)))) | ($false = (!! @ $i @ (^[Y0 : $i]: ($true)))) | (((sK3 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (Y1 = Y0))))) = (sK4 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (Y1 = Y0)))))) = $false) | ~spl0_2),
% 0.22/0.47 inference(boolean_simplification,[],[f390])).
% 0.22/0.47 thf(f390,plain,(
% 0.22/0.47 ((!! @ ($i > $o) @ (^[Y0 : $i > $o]: (Y0 = Y0))) = $false) | (((sK3 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (Y1 = Y0))))) = (sK4 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (Y1 = Y0)))))) = $false) | ($false = (!! @ $i @ (^[Y0 : $i]: ($true)))) | ~spl0_2),
% 0.22/0.47 inference(boolean_simplification,[],[f389])).
% 0.22/0.47 thf(f389,plain,(
% 0.22/0.47 (($true => (!! @ $i @ (^[Y0 : $i]: ($true)))) = $false) | ((!! @ ($i > $o) @ (^[Y0 : $i > $o]: (Y0 = Y0))) = $false) | (((sK3 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (Y1 = Y0))))) = (sK4 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (Y1 = Y0)))))) = $false) | ~spl0_2),
% 0.22/0.47 inference(boolean_simplification,[],[f388])).
% 0.22/0.47 thf(f388,plain,(
% 0.22/0.47 ((((sK5 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (Y1 = Y0))))) = (sK5 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (Y1 = Y0)))))) => (!! @ $i @ (^[Y0 : $i]: ($true)))) = $false) | ((!! @ ($i > $o) @ (^[Y0 : $i > $o]: (Y0 = Y0))) = $false) | (((sK3 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (Y1 = Y0))))) = (sK4 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (Y1 = Y0)))))) = $false) | ~spl0_2),
% 0.22/0.47 inference(boolean_simplification,[],[f387])).
% 0.22/0.47 thf(f387,plain,(
% 0.22/0.47 ($false = (((sK5 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (Y1 = Y0))))) = (sK5 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (Y1 = Y0)))))) => (!! @ $i @ (^[Y0 : $i]: ((sK5 @ (^[Y1 : $i > $o]: ((^[Y2 : $i > $o]: (Y2 = Y1)))) @ Y0) => (sK5 @ (^[Y1 : $i > $o]: ((^[Y2 : $i > $o]: (Y2 = Y1)))) @ Y0)))))) | ((!! @ ($i > $o) @ (^[Y0 : $i > $o]: (Y0 = Y0))) = $false) | (((sK3 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (Y1 = Y0))))) = (sK4 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (Y1 = Y0)))))) = $false) | ~spl0_2),
% 0.22/0.47 inference(beta_eta_normalization,[],[f370])).
% 0.22/0.47 thf(f370,plain,(
% 0.22/0.47 (((^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (Y1 = Y0)))) @ (sK4 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (Y1 = Y0))))) @ (sK3 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (Y1 = Y0)))))) = $false) | ((!! @ ($i > $o) @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i > $o]: (Y2 = Y1)))) @ Y0 @ Y0))) = $false) | ($false = (((^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (Y1 = Y0)))) @ (sK5 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (Y1 = Y0))))) @ (sK5 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (Y1 = Y0)))))) => (!! @ $i @ (^[Y0 : $i]: ((sK5 @ (^[Y1 : $i > $o]: ((^[Y2 : $i > $o]: (Y2 = Y1)))) @ Y0) => (sK5 @ (^[Y1 : $i > $o]: ((^[Y2 : $i > $o]: (Y2 = Y1)))) @ Y0)))))) | ~spl0_2),
% 0.22/0.47 inference(superposition,[],[f34,f364])).
% 0.22/0.47 thf(f364,plain,(
% 0.22/0.47 ((sK6 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (Y1 = Y0))))) = (sK5 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (Y1 = Y0)))))) | ~spl0_2),
% 0.22/0.47 inference(equality_proxy_clausification,[],[f60])).
% 0.22/0.47 thf(f60,plain,(
% 0.22/0.47 (((sK6 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (Y1 = Y0))))) = (sK5 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (Y1 = Y0)))))) = $true) | ~spl0_2),
% 0.22/0.47 inference(avatar_component_clause,[],[f59])).
% 0.22/0.47 thf(f34,plain,(
% 0.22/0.47 ( ! [X1 : ($i > $o) > ($i > $o) > $o] : (($false = ((X1 @ (sK5 @ X1) @ (sK6 @ X1)) => (!! @ $i @ (^[Y0 : $i]: ((sK5 @ X1 @ Y0) => (sK6 @ X1 @ Y0)))))) | ((X1 @ (sK4 @ X1) @ (sK3 @ X1)) = $false) | ((!! @ ($i > $o) @ (^[Y0 : $i > $o]: (X1 @ Y0 @ Y0))) = $false)) )),
% 0.22/0.47 inference(beta_eta_normalization,[],[f33])).
% 0.22/0.47 thf(f33,plain,(
% 0.22/0.47 ( ! [X1 : ($i > $o) > ($i > $o) > $o] : (((X1 @ (sK4 @ X1) @ (sK3 @ X1)) = $false) | (((^[Y0 : $i > $o]: ((X1 @ (sK5 @ X1) @ Y0) => (!! @ $i @ (^[Y1 : $i]: ((sK5 @ X1 @ Y1) => (Y0 @ Y1)))))) @ (sK6 @ X1)) = $false) | ((!! @ ($i > $o) @ (^[Y0 : $i > $o]: (X1 @ Y0 @ Y0))) = $false)) )),
% 0.22/0.47 inference(sigma_clausification,[],[f31])).
% 0.22/0.47 thf(f31,plain,(
% 0.22/0.47 ( ! [X1 : ($i > $o) > ($i > $o) > $o] : (($false = (!! @ ($i > $o) @ (^[Y0 : $i > $o]: ((X1 @ (sK5 @ X1) @ Y0) => (!! @ $i @ (^[Y1 : $i]: ((sK5 @ X1 @ Y1) => (Y0 @ Y1)))))))) | ((X1 @ (sK4 @ X1) @ (sK3 @ X1)) = $false) | ((!! @ ($i > $o) @ (^[Y0 : $i > $o]: (X1 @ Y0 @ Y0))) = $false)) )),
% 0.22/0.47 inference(beta_eta_normalization,[],[f26])).
% 0.22/0.47 thf(f26,plain,(
% 0.22/0.47 ( ! [X1 : ($i > $o) > ($i > $o) > $o] : (((X1 @ (sK4 @ X1) @ (sK3 @ X1)) = $false) | (((^[Y0 : $i > $o]: (!! @ ($i > $o) @ (^[Y1 : $i > $o]: ((X1 @ Y0 @ Y1) => (!! @ $i @ (^[Y2 : $i]: ((Y0 @ Y2) => (Y1 @ Y2)))))))) @ (sK5 @ X1)) = $false) | ((!! @ ($i > $o) @ (^[Y0 : $i > $o]: (X1 @ Y0 @ Y0))) = $false)) )),
% 0.22/0.47 inference(sigma_clausification,[],[f24])).
% 0.22/0.47 thf(f24,plain,(
% 0.22/0.47 ( ! [X1 : ($i > $o) > ($i > $o) > $o] : (((!! @ ($i > $o) @ (^[Y0 : $i > $o]: (!! @ ($i > $o) @ (^[Y1 : $i > $o]: ((X1 @ Y0 @ Y1) => (!! @ $i @ (^[Y2 : $i]: ((Y0 @ Y2) => (Y1 @ Y2))))))))) = $false) | ((X1 @ (sK4 @ X1) @ (sK3 @ X1)) = $false) | ((!! @ ($i > $o) @ (^[Y0 : $i > $o]: (X1 @ Y0 @ Y0))) = $false)) )),
% 0.22/0.47 inference(binary_proxy_clausification,[],[f23])).
% 0.22/0.47 thf(f23,plain,(
% 0.22/0.47 ( ! [X1 : ($i > $o) > ($i > $o) > $o] : (($false = (((X1 @ (sK4 @ X1) @ (sK2 @ X1)) & (X1 @ (sK2 @ X1) @ (sK3 @ X1))) => (X1 @ (sK4 @ X1) @ (sK3 @ X1)))) | ((!! @ ($i > $o) @ (^[Y0 : $i > $o]: (X1 @ Y0 @ Y0))) = $false) | ((!! @ ($i > $o) @ (^[Y0 : $i > $o]: (!! @ ($i > $o) @ (^[Y1 : $i > $o]: ((X1 @ Y0 @ Y1) => (!! @ $i @ (^[Y2 : $i]: ((Y0 @ Y2) => (Y1 @ Y2))))))))) = $false)) )),
% 0.22/0.47 inference(beta_eta_normalization,[],[f22])).
% 0.22/0.47 thf(f22,plain,(
% 0.22/0.47 ( ! [X1 : ($i > $o) > ($i > $o) > $o] : ((((^[Y0 : $i > $o]: (((X1 @ Y0 @ (sK2 @ X1)) & (X1 @ (sK2 @ X1) @ (sK3 @ X1))) => (X1 @ Y0 @ (sK3 @ X1)))) @ (sK4 @ X1)) = $false) | ((!! @ ($i > $o) @ (^[Y0 : $i > $o]: (X1 @ Y0 @ Y0))) = $false) | ((!! @ ($i > $o) @ (^[Y0 : $i > $o]: (!! @ ($i > $o) @ (^[Y1 : $i > $o]: ((X1 @ Y0 @ Y1) => (!! @ $i @ (^[Y2 : $i]: ((Y0 @ Y2) => (Y1 @ Y2))))))))) = $false)) )),
% 0.22/0.47 inference(sigma_clausification,[],[f21])).
% 0.22/0.47 thf(f21,plain,(
% 0.22/0.47 ( ! [X1 : ($i > $o) > ($i > $o) > $o] : (($false = (!! @ ($i > $o) @ (^[Y0 : $i > $o]: (((X1 @ Y0 @ (sK2 @ X1)) & (X1 @ (sK2 @ X1) @ (sK3 @ X1))) => (X1 @ Y0 @ (sK3 @ X1)))))) | ((!! @ ($i > $o) @ (^[Y0 : $i > $o]: (X1 @ Y0 @ Y0))) = $false) | ((!! @ ($i > $o) @ (^[Y0 : $i > $o]: (!! @ ($i > $o) @ (^[Y1 : $i > $o]: ((X1 @ Y0 @ Y1) => (!! @ $i @ (^[Y2 : $i]: ((Y0 @ Y2) => (Y1 @ Y2))))))))) = $false)) )),
% 0.22/0.47 inference(beta_eta_normalization,[],[f20])).
% 0.22/0.47 thf(f20,plain,(
% 0.22/0.47 ( ! [X1 : ($i > $o) > ($i > $o) > $o] : (((!! @ ($i > $o) @ (^[Y0 : $i > $o]: (!! @ ($i > $o) @ (^[Y1 : $i > $o]: ((X1 @ Y0 @ Y1) => (!! @ $i @ (^[Y2 : $i]: ((Y0 @ Y2) => (Y1 @ Y2))))))))) = $false) | ($false = ((^[Y0 : $i > $o]: (!! @ ($i > $o) @ (^[Y1 : $i > $o]: (((X1 @ Y1 @ (sK2 @ X1)) & (X1 @ (sK2 @ X1) @ Y0)) => (X1 @ Y1 @ Y0))))) @ (sK3 @ X1))) | ((!! @ ($i > $o) @ (^[Y0 : $i > $o]: (X1 @ Y0 @ Y0))) = $false)) )),
% 0.22/0.47 inference(sigma_clausification,[],[f19])).
% 0.22/0.47 thf(f19,plain,(
% 0.22/0.47 ( ! [X1 : ($i > $o) > ($i > $o) > $o] : (((!! @ ($i > $o) @ (^[Y0 : $i > $o]: (!! @ ($i > $o) @ (^[Y1 : $i > $o]: (((X1 @ Y1 @ (sK2 @ X1)) & (X1 @ (sK2 @ X1) @ Y0)) => (X1 @ Y1 @ Y0)))))) = $false) | ((!! @ ($i > $o) @ (^[Y0 : $i > $o]: (X1 @ Y0 @ Y0))) = $false) | ((!! @ ($i > $o) @ (^[Y0 : $i > $o]: (!! @ ($i > $o) @ (^[Y1 : $i > $o]: ((X1 @ Y0 @ Y1) => (!! @ $i @ (^[Y2 : $i]: ((Y0 @ Y2) => (Y1 @ Y2))))))))) = $false)) )),
% 0.22/0.47 inference(beta_eta_normalization,[],[f16])).
% 0.22/0.47 thf(f16,plain,(
% 0.22/0.47 ( ! [X1 : ($i > $o) > ($i > $o) > $o] : (($false = ((^[Y0 : $i > $o]: (!! @ ($i > $o) @ (^[Y1 : $i > $o]: (!! @ ($i > $o) @ (^[Y2 : $i > $o]: (((X1 @ Y2 @ Y0) & (X1 @ Y0 @ Y1)) => (X1 @ Y2 @ Y1))))))) @ (sK2 @ X1))) | ((!! @ ($i > $o) @ (^[Y0 : $i > $o]: (!! @ ($i > $o) @ (^[Y1 : $i > $o]: ((X1 @ Y0 @ Y1) => (!! @ $i @ (^[Y2 : $i]: ((Y0 @ Y2) => (Y1 @ Y2))))))))) = $false) | ((!! @ ($i > $o) @ (^[Y0 : $i > $o]: (X1 @ Y0 @ Y0))) = $false)) )),
% 0.22/0.47 inference(sigma_clausification,[],[f13])).
% 0.22/0.47 thf(f13,plain,(
% 0.22/0.47 ( ! [X1 : ($i > $o) > ($i > $o) > $o] : (($false = (!! @ ($i > $o) @ (^[Y0 : $i > $o]: (!! @ ($i > $o) @ (^[Y1 : $i > $o]: (!! @ ($i > $o) @ (^[Y2 : $i > $o]: (((X1 @ Y2 @ Y0) & (X1 @ Y0 @ Y1)) => (X1 @ Y2 @ Y1))))))))) | ((!! @ ($i > $o) @ (^[Y0 : $i > $o]: (!! @ ($i > $o) @ (^[Y1 : $i > $o]: ((X1 @ Y0 @ Y1) => (!! @ $i @ (^[Y2 : $i]: ((Y0 @ Y2) => (Y1 @ Y2))))))))) = $false) | ((!! @ ($i > $o) @ (^[Y0 : $i > $o]: (X1 @ Y0 @ Y0))) = $false)) )),
% 0.22/0.47 inference(binary_proxy_clausification,[],[f12])).
% 0.22/0.47 thf(f12,plain,(
% 0.22/0.47 ( ! [X1 : ($i > $o) > ($i > $o) > $o] : (($false = ((!! @ ($i > $o) @ (^[Y0 : $i > $o]: (X1 @ Y0 @ Y0))) & (!! @ ($i > $o) @ (^[Y0 : $i > $o]: (!! @ ($i > $o) @ (^[Y1 : $i > $o]: ((X1 @ Y0 @ Y1) => (!! @ $i @ (^[Y2 : $i]: ((Y0 @ Y2) => (Y1 @ Y2))))))))))) | ($false = (!! @ ($i > $o) @ (^[Y0 : $i > $o]: (!! @ ($i > $o) @ (^[Y1 : $i > $o]: (!! @ ($i > $o) @ (^[Y2 : $i > $o]: (((X1 @ Y2 @ Y0) & (X1 @ Y0 @ Y1)) => (X1 @ Y2 @ Y1)))))))))) )),
% 0.22/0.47 inference(binary_proxy_clausification,[],[f11])).
% 0.22/0.47 thf(f11,plain,(
% 0.22/0.47 ( ! [X1 : ($i > $o) > ($i > $o) > $o] : (((((!! @ ($i > $o) @ (^[Y0 : $i > $o]: (X1 @ Y0 @ Y0))) & (!! @ ($i > $o) @ (^[Y0 : $i > $o]: (!! @ ($i > $o) @ (^[Y1 : $i > $o]: ((X1 @ Y0 @ Y1) => (!! @ $i @ (^[Y2 : $i]: ((Y0 @ Y2) => (Y1 @ Y2)))))))))) & (!! @ ($i > $o) @ (^[Y0 : $i > $o]: (!! @ ($i > $o) @ (^[Y1 : $i > $o]: (!! @ ($i > $o) @ (^[Y2 : $i > $o]: (((X1 @ Y2 @ Y0) & (X1 @ Y0 @ Y1)) => (X1 @ Y2 @ Y1))))))))) = $false)) )),
% 0.22/0.47 inference(beta_eta_normalization,[],[f10])).
% 0.22/0.47 thf(f10,plain,(
% 0.22/0.47 ( ! [X1 : ($i > $o) > ($i > $o) > $o] : ((((^[Y0 : ($i > $o) > ($i > $o) > $o]: (((!! @ ($i > $o) @ (^[Y1 : $i > $o]: (Y0 @ Y1 @ Y1))) & (!! @ ($i > $o) @ (^[Y1 : $i > $o]: (!! @ ($i > $o) @ (^[Y2 : $i > $o]: ((Y0 @ Y1 @ Y2) => (!! @ $i @ (^[Y3 : $i]: ((Y1 @ Y3) => (Y2 @ Y3)))))))))) & (!! @ ($i > $o) @ (^[Y1 : $i > $o]: (!! @ ($i > $o) @ (^[Y2 : $i > $o]: (!! @ ($i > $o) @ (^[Y3 : $i > $o]: (((Y0 @ Y3 @ Y1) & (Y0 @ Y1 @ Y2)) => (Y0 @ Y3 @ Y2)))))))))) @ X1) = $false)) )),
% 0.22/0.47 inference(pi_clausification,[],[f7])).
% 0.22/0.47 thf(f7,plain,(
% 0.22/0.47 ((?? @ (($i > $o) > ($i > $o) > $o) @ (^[Y0 : ($i > $o) > ($i > $o) > $o]: (((!! @ ($i > $o) @ (^[Y1 : $i > $o]: (Y0 @ Y1 @ Y1))) & (!! @ ($i > $o) @ (^[Y1 : $i > $o]: (!! @ ($i > $o) @ (^[Y2 : $i > $o]: ((Y0 @ Y1 @ Y2) => (!! @ $i @ (^[Y3 : $i]: ((Y1 @ Y3) => (Y2 @ Y3)))))))))) & (!! @ ($i > $o) @ (^[Y1 : $i > $o]: (!! @ ($i > $o) @ (^[Y2 : $i > $o]: (!! @ ($i > $o) @ (^[Y3 : $i > $o]: (((Y0 @ Y3 @ Y1) & (Y0 @ Y1 @ Y2)) => (Y0 @ Y3 @ Y2))))))))))) = $false)),
% 0.22/0.47 inference(not_proxy_clausification,[],[f6])).
% 0.22/0.47 thf(f6,plain,(
% 0.22/0.47 ((~ (?? @ (($i > $o) > ($i > $o) > $o) @ (^[Y0 : ($i > $o) > ($i > $o) > $o]: (((!! @ ($i > $o) @ (^[Y1 : $i > $o]: (Y0 @ Y1 @ Y1))) & (!! @ ($i > $o) @ (^[Y1 : $i > $o]: (!! @ ($i > $o) @ (^[Y2 : $i > $o]: ((Y0 @ Y1 @ Y2) => (!! @ $i @ (^[Y3 : $i]: ((Y1 @ Y3) => (Y2 @ Y3)))))))))) & (!! @ ($i > $o) @ (^[Y1 : $i > $o]: (!! @ ($i > $o) @ (^[Y2 : $i > $o]: (!! @ ($i > $o) @ (^[Y3 : $i > $o]: (((Y0 @ Y3 @ Y1) & (Y0 @ Y1 @ Y2)) => (Y0 @ Y3 @ Y2)))))))))))) = $true)),
% 0.22/0.47 inference(cnf_transformation,[],[f5])).
% 0.22/0.47 thf(f5,plain,(
% 0.22/0.47 ((~ (?? @ (($i > $o) > ($i > $o) > $o) @ (^[Y0 : ($i > $o) > ($i > $o) > $o]: (((!! @ ($i > $o) @ (^[Y1 : $i > $o]: (Y0 @ Y1 @ Y1))) & (!! @ ($i > $o) @ (^[Y1 : $i > $o]: (!! @ ($i > $o) @ (^[Y2 : $i > $o]: ((Y0 @ Y1 @ Y2) => (!! @ $i @ (^[Y3 : $i]: ((Y1 @ Y3) => (Y2 @ Y3)))))))))) & (!! @ ($i > $o) @ (^[Y1 : $i > $o]: (!! @ ($i > $o) @ (^[Y2 : $i > $o]: (!! @ ($i > $o) @ (^[Y3 : $i > $o]: (((Y0 @ Y3 @ Y1) & (Y0 @ Y1 @ Y2)) => (Y0 @ Y3 @ Y2)))))))))))) = $true)),
% 0.22/0.47 inference(fool_elimination,[],[f4])).
% 0.22/0.47 thf(f4,plain,(
% 0.22/0.47 ~? [X0 : ($i > $o) > ($i > $o) > $o] : (! [X1 : $i > $o,X2 : $i > $o,X3 : $i > $o] : (((X0 @ X3 @ X2) & (X0 @ X1 @ X3)) => (X0 @ X1 @ X2)) & ! [X4 : $i > $o,X5 : $i > $o] : ((X0 @ X5 @ X4) => ! [X6] : ((X5 @ X6) => (X4 @ X6))) & ! [X7 : $i > $o] : (X0 @ X7 @ X7))),
% 0.22/0.47 inference(rectify,[],[f2])).
% 0.22/0.47 thf(f2,negated_conjecture,(
% 0.22/0.47 ~? [X0 : ($i > $o) > ($i > $o) > $o] : (! [X4 : $i > $o,X3 : $i > $o,X5 : $i > $o] : (((X0 @ X5 @ X3) & (X0 @ X4 @ X5)) => (X0 @ X4 @ X3)) & ! [X2 : $i > $o,X1 : $i > $o] : ((X0 @ X1 @ X2) => ! [X3] : ((X1 @ X3) => (X2 @ X3))) & ! [X4 : $i > $o] : (X0 @ X4 @ X4))),
% 0.22/0.47 inference(negated_conjecture,[],[f1])).
% 0.22/0.47 thf(f1,conjecture,(
% 0.22/0.47 ? [X0 : ($i > $o) > ($i > $o) > $o] : (! [X4 : $i > $o,X3 : $i > $o,X5 : $i > $o] : (((X0 @ X5 @ X3) & (X0 @ X4 @ X5)) => (X0 @ X4 @ X3)) & ! [X2 : $i > $o,X1 : $i > $o] : ((X0 @ X1 @ X2) => ! [X3] : ((X1 @ X3) => (X2 @ X3))) & ! [X4 : $i > $o] : (X0 @ X4 @ X4))),
% 0.22/0.47 file('/export/starexec/sandbox/tmp/tmp.XVbQNm8T3Y/Vampire---4.8_10132',cTHM122_pme)).
% 0.22/0.47 thf(f402,plain,(
% 0.22/0.47 spl0_21 | spl0_1 | spl0_7 | ~spl0_2),
% 0.22/0.47 inference(avatar_split_clause,[],[f383,f59,f91,f56,f400])).
% 0.22/0.47 thf(f383,plain,(
% 0.22/0.47 ($false = (!! @ $i @ (^[Y0 : $i]: ($true)))) | ((((sK2 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (Y1 = Y0))))) = (sK4 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (Y1 = Y0)))))) & ((sK3 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (Y1 = Y0))))) = (sK2 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (Y1 = Y0))))))) = $true) | ($false = (!! @ ($i > $o) @ (^[Y0 : $i > $o]: ($true)))) | ~spl0_2),
% 0.22/0.47 inference(boolean_simplification,[],[f382])).
% 0.22/0.47 thf(f382,plain,(
% 0.22/0.47 ($false = (!! @ ($i > $o) @ (^[Y0 : $i > $o]: ($true)))) | (($true => (!! @ $i @ (^[Y0 : $i]: ($true)))) = $false) | ((((sK2 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (Y1 = Y0))))) = (sK4 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (Y1 = Y0)))))) & ((sK3 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (Y1 = Y0))))) = (sK2 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (Y1 = Y0))))))) = $true) | ~spl0_2),
% 0.22/0.47 inference(boolean_simplification,[],[f381])).
% 0.22/0.47 thf(f381,plain,(
% 0.22/0.47 ($false = (!! @ ($i > $o) @ (^[Y0 : $i > $o]: ($true)))) | ((((sK2 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (Y1 = Y0))))) = (sK4 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (Y1 = Y0)))))) & ((sK3 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (Y1 = Y0))))) = (sK2 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (Y1 = Y0))))))) = $true) | ((((sK5 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (Y1 = Y0))))) = (sK5 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (Y1 = Y0)))))) => (!! @ $i @ (^[Y0 : $i]: ($true)))) = $false) | ~spl0_2),
% 0.22/0.47 inference(boolean_simplification,[],[f380])).
% 0.22/0.47 thf(f380,plain,(
% 0.22/0.47 ((((sK2 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (Y1 = Y0))))) = (sK4 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (Y1 = Y0)))))) & ((sK3 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (Y1 = Y0))))) = (sK2 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (Y1 = Y0))))))) = $true) | ($false = (!! @ ($i > $o) @ (^[Y0 : $i > $o]: ($true)))) | ($false = (((sK5 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (Y1 = Y0))))) = (sK5 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (Y1 = Y0)))))) => (!! @ $i @ (^[Y0 : $i]: ((sK5 @ (^[Y1 : $i > $o]: ((^[Y2 : $i > $o]: (Y2 = Y1)))) @ Y0) => (sK5 @ (^[Y1 : $i > $o]: ((^[Y2 : $i > $o]: (Y2 = Y1)))) @ Y0)))))) | ~spl0_2),
% 0.22/0.47 inference(boolean_simplification,[],[f379])).
% 0.22/0.47 thf(f379,plain,(
% 0.22/0.47 ((((sK2 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (Y1 = Y0))))) = (sK4 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (Y1 = Y0)))))) & ((sK3 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (Y1 = Y0))))) = (sK2 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (Y1 = Y0))))))) = $true) | ((!! @ ($i > $o) @ (^[Y0 : $i > $o]: (Y0 = Y0))) = $false) | ($false = (((sK5 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (Y1 = Y0))))) = (sK5 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (Y1 = Y0)))))) => (!! @ $i @ (^[Y0 : $i]: ((sK5 @ (^[Y1 : $i > $o]: ((^[Y2 : $i > $o]: (Y2 = Y1)))) @ Y0) => (sK5 @ (^[Y1 : $i > $o]: ((^[Y2 : $i > $o]: (Y2 = Y1)))) @ Y0)))))) | ~spl0_2),
% 0.22/0.47 inference(beta_eta_normalization,[],[f372])).
% 0.22/0.47 thf(f372,plain,(
% 0.22/0.47 ((!! @ ($i > $o) @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i > $o]: (Y2 = Y1)))) @ Y0 @ Y0))) = $false) | ((((^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (Y1 = Y0)))) @ (sK4 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (Y1 = Y0))))) @ (sK2 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (Y1 = Y0)))))) & ((^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (Y1 = Y0)))) @ (sK2 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (Y1 = Y0))))) @ (sK3 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (Y1 = Y0))))))) = $true) | ($false = (((^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (Y1 = Y0)))) @ (sK5 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (Y1 = Y0))))) @ (sK5 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (Y1 = Y0)))))) => (!! @ $i @ (^[Y0 : $i]: ((sK5 @ (^[Y1 : $i > $o]: ((^[Y2 : $i > $o]: (Y2 = Y1)))) @ Y0) => (sK5 @ (^[Y1 : $i > $o]: ((^[Y2 : $i > $o]: (Y2 = Y1)))) @ Y0)))))) | ~spl0_2),
% 0.22/0.47 inference(superposition,[],[f169,f364])).
% 0.22/0.47 thf(f169,plain,(
% 0.22/0.47 ( ! [X1 : ($i > $o) > ($i > $o) > $o] : (($false = ((X1 @ (sK5 @ X1) @ (sK6 @ X1)) => (!! @ $i @ (^[Y0 : $i]: ((sK5 @ X1 @ Y0) => (sK6 @ X1 @ Y0)))))) | ((!! @ ($i > $o) @ (^[Y0 : $i > $o]: (X1 @ Y0 @ Y0))) = $false) | (((X1 @ (sK4 @ X1) @ (sK2 @ X1)) & (X1 @ (sK2 @ X1) @ (sK3 @ X1))) = $true)) )),
% 0.22/0.47 inference(beta_eta_normalization,[],[f168])).
% 0.22/0.47 thf(f168,plain,(
% 0.22/0.47 ( ! [X1 : ($i > $o) > ($i > $o) > $o] : (((!! @ ($i > $o) @ (^[Y0 : $i > $o]: (X1 @ Y0 @ Y0))) = $false) | (((X1 @ (sK4 @ X1) @ (sK2 @ X1)) & (X1 @ (sK2 @ X1) @ (sK3 @ X1))) = $true) | (((^[Y0 : $i > $o]: ((X1 @ (sK5 @ X1) @ Y0) => (!! @ $i @ (^[Y1 : $i]: ((sK5 @ X1 @ Y1) => (Y0 @ Y1)))))) @ (sK6 @ X1)) = $false)) )),
% 0.22/0.47 inference(sigma_clausification,[],[f148])).
% 0.22/0.47 thf(f148,plain,(
% 0.22/0.47 ( ! [X1 : ($i > $o) > ($i > $o) > $o] : (($false = (!! @ ($i > $o) @ (^[Y0 : $i > $o]: ((X1 @ (sK5 @ X1) @ Y0) => (!! @ $i @ (^[Y1 : $i]: ((sK5 @ X1 @ Y1) => (Y0 @ Y1)))))))) | (((X1 @ (sK4 @ X1) @ (sK2 @ X1)) & (X1 @ (sK2 @ X1) @ (sK3 @ X1))) = $true) | ((!! @ ($i > $o) @ (^[Y0 : $i > $o]: (X1 @ Y0 @ Y0))) = $false)) )),
% 0.22/0.47 inference(beta_eta_normalization,[],[f145])).
% 0.22/0.47 thf(f145,plain,(
% 0.22/0.47 ( ! [X1 : ($i > $o) > ($i > $o) > $o] : ((((X1 @ (sK4 @ X1) @ (sK2 @ X1)) & (X1 @ (sK2 @ X1) @ (sK3 @ X1))) = $true) | ((!! @ ($i > $o) @ (^[Y0 : $i > $o]: (X1 @ Y0 @ Y0))) = $false) | (((^[Y0 : $i > $o]: (!! @ ($i > $o) @ (^[Y1 : $i > $o]: ((X1 @ Y0 @ Y1) => (!! @ $i @ (^[Y2 : $i]: ((Y0 @ Y2) => (Y1 @ Y2)))))))) @ (sK5 @ X1)) = $false)) )),
% 0.22/0.47 inference(sigma_clausification,[],[f25])).
% 0.22/0.47 thf(f25,plain,(
% 0.22/0.47 ( ! [X1 : ($i > $o) > ($i > $o) > $o] : (((!! @ ($i > $o) @ (^[Y0 : $i > $o]: (!! @ ($i > $o) @ (^[Y1 : $i > $o]: ((X1 @ Y0 @ Y1) => (!! @ $i @ (^[Y2 : $i]: ((Y0 @ Y2) => (Y1 @ Y2))))))))) = $false) | ((!! @ ($i > $o) @ (^[Y0 : $i > $o]: (X1 @ Y0 @ Y0))) = $false) | (((X1 @ (sK4 @ X1) @ (sK2 @ X1)) & (X1 @ (sK2 @ X1) @ (sK3 @ X1))) = $true)) )),
% 0.22/0.47 inference(binary_proxy_clausification,[],[f23])).
% 0.22/0.47 thf(f398,plain,(
% 0.22/0.47 spl0_7 | spl0_1 | ~spl0_2 | ~spl0_3 | ~spl0_18),
% 0.22/0.47 inference(avatar_split_clause,[],[f397,f318,f62,f59,f56,f91])).
% 0.22/0.47 thf(f397,plain,(
% 0.22/0.47 ($false = (!! @ ($i > $o) @ (^[Y0 : $i > $o]: ($true)))) | ($false = (!! @ $i @ (^[Y0 : $i]: ($true)))) | (~spl0_2 | ~spl0_3 | ~spl0_18)),
% 0.22/0.47 inference(trivial_inequality_removal,[],[f396])).
% 0.22/0.47 thf(f396,plain,(
% 0.22/0.47 ($false = $true) | ($false = (!! @ ($i > $o) @ (^[Y0 : $i > $o]: ($true)))) | ($false = (!! @ $i @ (^[Y0 : $i]: ($true)))) | (~spl0_2 | ~spl0_3 | ~spl0_18)),
% 0.22/0.47 inference(boolean_simplification,[],[f395])).
% 0.22/0.47 thf(f395,plain,(
% 0.22/0.47 ($false = (!! @ ($i > $o) @ (^[Y0 : $i > $o]: ($true)))) | (($false & ((sK3 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (Y1 = Y0))))) = (sK2 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (Y1 = Y0))))))) = $true) | ($false = (!! @ $i @ (^[Y0 : $i]: ($true)))) | (~spl0_2 | ~spl0_3 | ~spl0_18)),
% 0.22/0.47 inference(forward_demodulation,[],[f383,f324])).
% 0.22/0.47 thf(f324,plain,(
% 0.22/0.47 (((sK2 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (Y1 = Y0))))) = (sK4 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (Y1 = Y0)))))) = $false) | (~spl0_3 | ~spl0_18)),
% 0.22/0.47 inference(backward_demodulation,[],[f63,f321])).
% 0.22/0.47 thf(f321,plain,(
% 0.22/0.47 ((sK2 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (Y1 = Y0))))) = (sK3 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (Y1 = Y0)))))) | ~spl0_18),
% 0.22/0.47 inference(equality_proxy_clausification,[],[f319])).
% 0.22/0.47 thf(f319,plain,(
% 0.22/0.47 (((sK3 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (Y1 = Y0))))) = (sK2 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (Y1 = Y0)))))) = $true) | ~spl0_18),
% 0.22/0.47 inference(avatar_component_clause,[],[f318])).
% 0.22/0.47 thf(f63,plain,(
% 0.22/0.47 (((sK3 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (Y1 = Y0))))) = (sK4 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (Y1 = Y0)))))) = $false) | ~spl0_3),
% 0.22/0.47 inference(avatar_component_clause,[],[f62])).
% 0.22/0.47 thf(f353,plain,(
% 0.22/0.47 spl0_2 | spl0_1 | ~spl0_3 | ~spl0_18),
% 0.22/0.47 inference(avatar_split_clause,[],[f352,f318,f62,f56,f59])).
% 0.22/0.47 thf(f352,plain,(
% 0.22/0.47 (((sK6 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (Y1 = Y0))))) = (sK5 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (Y1 = Y0)))))) = $true) | ($false = (!! @ ($i > $o) @ (^[Y0 : $i > $o]: ($true)))) | (~spl0_3 | ~spl0_18)),
% 0.22/0.47 inference(trivial_inequality_removal,[],[f351])).
% 0.22/0.47 thf(f351,plain,(
% 0.22/0.47 ($false = $true) | (((sK6 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (Y1 = Y0))))) = (sK5 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (Y1 = Y0)))))) = $true) | ($false = (!! @ ($i > $o) @ (^[Y0 : $i > $o]: ($true)))) | (~spl0_3 | ~spl0_18)),
% 0.22/0.47 inference(forward_demodulation,[],[f350,f324])).
% 0.22/0.47 thf(f350,plain,(
% 0.22/0.47 (((sK6 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (Y1 = Y0))))) = (sK5 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (Y1 = Y0)))))) = $true) | ($false = (!! @ ($i > $o) @ (^[Y0 : $i > $o]: ($true)))) | (((sK2 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (Y1 = Y0))))) = (sK4 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (Y1 = Y0)))))) = $true) | ~spl0_18),
% 0.22/0.47 inference(boolean_simplification,[],[f349])).
% 0.22/0.47 thf(f349,plain,(
% 0.22/0.47 (((sK6 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (Y1 = Y0))))) = (sK5 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (Y1 = Y0)))))) = $true) | ($false = (!! @ ($i > $o) @ (^[Y0 : $i > $o]: ($true)))) | ((((sK2 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (Y1 = Y0))))) = (sK4 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (Y1 = Y0)))))) & $true) = $true) | ~spl0_18),
% 0.22/0.47 inference(boolean_simplification,[],[f348])).
% 0.22/0.47 thf(f348,plain,(
% 0.22/0.47 (((sK6 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (Y1 = Y0))))) = (sK5 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (Y1 = Y0)))))) = $true) | ((!! @ ($i > $o) @ (^[Y0 : $i > $o]: (Y0 = Y0))) = $false) | ((((sK2 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (Y1 = Y0))))) = (sK4 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (Y1 = Y0)))))) & $true) = $true) | ~spl0_18),
% 0.22/0.47 inference(boolean_simplification,[],[f347])).
% 0.22/0.47 thf(f347,plain,(
% 0.22/0.47 ((((sK2 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (Y1 = Y0))))) = (sK4 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (Y1 = Y0)))))) & ((sK2 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (Y1 = Y0))))) = (sK2 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (Y1 = Y0))))))) = $true) | (((sK6 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (Y1 = Y0))))) = (sK5 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (Y1 = Y0)))))) = $true) | ((!! @ ($i > $o) @ (^[Y0 : $i > $o]: (Y0 = Y0))) = $false) | ~spl0_18),
% 0.22/0.47 inference(beta_eta_normalization,[],[f330])).
% 0.22/0.47 thf(f330,plain,(
% 0.22/0.47 ((((^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (Y1 = Y0)))) @ (sK4 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (Y1 = Y0))))) @ (sK2 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (Y1 = Y0)))))) & ((^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (Y1 = Y0)))) @ (sK2 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (Y1 = Y0))))) @ (sK2 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (Y1 = Y0))))))) = $true) | (((^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (Y1 = Y0)))) @ (sK5 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (Y1 = Y0))))) @ (sK6 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (Y1 = Y0)))))) = $true) | ((!! @ ($i > $o) @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i > $o]: (Y2 = Y1)))) @ Y0 @ Y0))) = $false) | ~spl0_18),
% 0.22/0.47 inference(superposition,[],[f176,f321])).
% 0.22/0.47 thf(f176,plain,(
% 0.22/0.47 ( ! [X1 : ($i > $o) > ($i > $o) > $o] : ((((X1 @ (sK4 @ X1) @ (sK2 @ X1)) & (X1 @ (sK2 @ X1) @ (sK3 @ X1))) = $true) | ((X1 @ (sK5 @ X1) @ (sK6 @ X1)) = $true) | ((!! @ ($i > $o) @ (^[Y0 : $i > $o]: (X1 @ Y0 @ Y0))) = $false)) )),
% 0.22/0.47 inference(binary_proxy_clausification,[],[f169])).
% 0.22/0.47 thf(f320,plain,(
% 0.22/0.47 spl0_2 | spl0_1 | spl0_18),
% 0.22/0.47 inference(avatar_split_clause,[],[f300,f318,f56,f59])).
% 0.22/0.47 thf(f300,plain,(
% 0.22/0.47 (((sK6 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (Y1 = Y0))))) = (sK5 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (Y1 = Y0)))))) = $true) | (((sK3 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (Y1 = Y0))))) = (sK2 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (Y1 = Y0)))))) = $true) | ($false = (!! @ ($i > $o) @ (^[Y0 : $i > $o]: ($true))))),
% 0.22/0.47 inference(boolean_simplification,[],[f299])).
% 0.22/0.47 thf(f299,plain,(
% 0.22/0.47 (((sK3 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (Y1 = Y0))))) = (sK2 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (Y1 = Y0)))))) = $true) | (((sK6 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (Y1 = Y0))))) = (sK5 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (Y1 = Y0)))))) = $true) | ((!! @ ($i > $o) @ (^[Y0 : $i > $o]: (Y0 = Y0))) = $false)),
% 0.22/0.47 inference(beta_eta_normalization,[],[f291])).
% 0.22/0.47 thf(f291,plain,(
% 0.22/0.47 ((!! @ ($i > $o) @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i > $o]: (Y2 = Y1)))) @ Y0 @ Y0))) = $false) | (((^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (Y1 = Y0)))) @ (sK2 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (Y1 = Y0))))) @ (sK3 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (Y1 = Y0)))))) = $true) | (((^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (Y1 = Y0)))) @ (sK5 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (Y1 = Y0))))) @ (sK6 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (Y1 = Y0)))))) = $true)),
% 0.22/0.47 inference(primitive_instantiation,[],[f227])).
% 0.22/0.47 thf(f227,plain,(
% 0.22/0.47 ( ! [X1 : ($i > $o) > ($i > $o) > $o] : (((X1 @ (sK5 @ X1) @ (sK6 @ X1)) = $true) | ((X1 @ (sK2 @ X1) @ (sK3 @ X1)) = $true) | ((!! @ ($i > $o) @ (^[Y0 : $i > $o]: (X1 @ Y0 @ Y0))) = $false)) )),
% 0.22/0.47 inference(binary_proxy_clausification,[],[f176])).
% 0.22/0.47 thf(f121,plain,(
% 0.22/0.47 ~spl0_7),
% 0.22/0.47 inference(avatar_contradiction_clause,[],[f120])).
% 0.22/0.47 thf(f120,plain,(
% 0.22/0.47 $false | ~spl0_7),
% 0.22/0.47 inference(trivial_inequality_removal,[],[f119])).
% 0.22/0.47 thf(f119,plain,(
% 0.22/0.47 ($false = $true) | ~spl0_7),
% 0.22/0.47 inference(beta_eta_normalization,[],[f118])).
% 0.22/0.47 thf(f118,plain,(
% 0.22/0.47 (((^[Y0 : $i]: ($true)) @ sK11) = $false) | ~spl0_7),
% 0.22/0.47 inference(sigma_clausification,[],[f92])).
% 0.22/0.47 thf(f92,plain,(
% 0.22/0.47 ($false = (!! @ $i @ (^[Y0 : $i]: ($true)))) | ~spl0_7),
% 0.22/0.47 inference(avatar_component_clause,[],[f91])).
% 0.22/0.47 thf(f117,plain,(
% 0.22/0.47 ~spl0_1),
% 0.22/0.47 inference(avatar_contradiction_clause,[],[f116])).
% 0.22/0.47 thf(f116,plain,(
% 0.22/0.47 $false | ~spl0_1),
% 0.22/0.47 inference(trivial_inequality_removal,[],[f115])).
% 0.22/0.47 thf(f115,plain,(
% 0.22/0.47 ($false = $true) | ~spl0_1),
% 0.22/0.47 inference(beta_eta_normalization,[],[f114])).
% 0.22/0.47 thf(f114,plain,(
% 0.22/0.47 (((^[Y0 : $i > $o]: ($true)) @ sK10) = $false) | ~spl0_1),
% 0.22/0.47 inference(sigma_clausification,[],[f57])).
% 0.22/0.47 thf(f57,plain,(
% 0.22/0.47 ($false = (!! @ ($i > $o) @ (^[Y0 : $i > $o]: ($true)))) | ~spl0_1),
% 0.22/0.47 inference(avatar_component_clause,[],[f56])).
% 0.22/0.47 thf(f64,plain,(
% 0.22/0.47 spl0_1 | spl0_2 | spl0_3),
% 0.22/0.47 inference(avatar_split_clause,[],[f49,f62,f59,f56])).
% 0.22/0.47 thf(f49,plain,(
% 0.22/0.47 (((sK6 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (Y1 = Y0))))) = (sK5 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (Y1 = Y0)))))) = $true) | ($false = (!! @ ($i > $o) @ (^[Y0 : $i > $o]: ($true)))) | (((sK3 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (Y1 = Y0))))) = (sK4 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (Y1 = Y0)))))) = $false)),
% 0.22/0.47 inference(boolean_simplification,[],[f48])).
% 0.22/0.47 thf(f48,plain,(
% 0.22/0.47 (((sK3 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (Y1 = Y0))))) = (sK4 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (Y1 = Y0)))))) = $false) | (((sK6 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (Y1 = Y0))))) = (sK5 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (Y1 = Y0)))))) = $true) | ((!! @ ($i > $o) @ (^[Y0 : $i > $o]: (Y0 = Y0))) = $false)),
% 0.22/0.47 inference(beta_eta_normalization,[],[f38])).
% 0.22/0.47 thf(f38,plain,(
% 0.22/0.47 (((^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (Y1 = Y0)))) @ (sK4 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (Y1 = Y0))))) @ (sK3 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (Y1 = Y0)))))) = $false) | (((^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (Y1 = Y0)))) @ (sK5 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (Y1 = Y0))))) @ (sK6 @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (Y1 = Y0)))))) = $true) | ((!! @ ($i > $o) @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i > $o]: (Y2 = Y1)))) @ Y0 @ Y0))) = $false)),
% 0.22/0.47 inference(primitive_instantiation,[],[f36])).
% 0.22/0.47 thf(f36,plain,(
% 0.22/0.47 ( ! [X1 : ($i > $o) > ($i > $o) > $o] : (((X1 @ (sK5 @ X1) @ (sK6 @ X1)) = $true) | ((!! @ ($i > $o) @ (^[Y0 : $i > $o]: (X1 @ Y0 @ Y0))) = $false) | ((X1 @ (sK4 @ X1) @ (sK3 @ X1)) = $false)) )),
% 0.22/0.47 inference(binary_proxy_clausification,[],[f34])).
% 0.22/0.47 % SZS output end Proof for Vampire---4
% 0.22/0.47 % (10384)------------------------------
% 0.22/0.47 % (10384)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.47 % (10384)Termination reason: Refutation
% 0.22/0.47
% 0.22/0.47 % (10384)Memory used [KB]: 5884
% 0.22/0.47 % (10384)Time elapsed: 0.070 s
% 0.22/0.47 % (10384)Instructions burned: 97 (million)
% 0.22/0.47 % (10384)------------------------------
% 0.22/0.47 % (10384)------------------------------
% 0.22/0.47 % (10372)Success in time 0.104 s
% 0.22/0.47 % Vampire---4.8 exiting
%------------------------------------------------------------------------------