TSTP Solution File: LCL877^1 by Vampire---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : LCL877^1 : TPTP v8.2.0. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% Computer : n029.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 00:23:35 EDT 2024
% Result : Theorem 2.23s 0.66s
% Output : Refutation 2.23s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : LCL877^1 : TPTP v8.2.0. Released v5.2.0.
% 0.03/0.14 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.14/0.34 % Computer : n029.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Mon May 20 02:10:38 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.14/0.35 This is a TH0_THM_EQU_NAR problem
% 0.14/0.35 Running vampire_ho --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_hol --cores 8 -m 12000 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.14/0.37 % (28519)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)
% 0.21/0.37 % (28518)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)
% 0.21/0.37 % (28520)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.21/0.37 % (28522)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)
% 0.21/0.37 % (28517)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on theBenchmark for (2999ds/183Mi)
% 0.21/0.37 % (28520)Instruction limit reached!
% 0.21/0.37 % (28520)------------------------------
% 0.21/0.37 % (28520)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.37 % (28520)Termination reason: Unknown
% 0.21/0.37 % (28520)Termination phase: shuffling
% 0.21/0.37
% 0.21/0.37 % (28520)Memory used [KB]: 1023
% 0.21/0.37 % (28520)Time elapsed: 0.003 s
% 0.21/0.37 % (28520)Instructions burned: 2 (million)
% 0.21/0.37 % (28520)------------------------------
% 0.21/0.37 % (28520)------------------------------
% 0.21/0.37 % (28523)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on theBenchmark for (2999ds/18Mi)
% 0.21/0.37 % (28518)Instruction limit reached!
% 0.21/0.37 % (28518)------------------------------
% 0.21/0.37 % (28518)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.37 % (28518)Termination reason: Unknown
% 0.21/0.37 % (28521)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)
% 0.21/0.37 % (28518)Termination phase: Property scanning
% 0.21/0.37
% 0.21/0.37 % (28518)Memory used [KB]: 1023
% 0.21/0.37 % (28518)Time elapsed: 0.004 s
% 0.21/0.37 % (28518)Instructions burned: 4 (million)
% 0.21/0.37 % (28518)------------------------------
% 0.21/0.37 % (28518)------------------------------
% 0.21/0.37 % (28521)Instruction limit reached!
% 0.21/0.37 % (28521)------------------------------
% 0.21/0.37 % (28521)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.37 % (28521)Termination reason: Unknown
% 0.21/0.37 % (28521)Termination phase: shuffling
% 0.21/0.37
% 0.21/0.37 % (28521)Memory used [KB]: 1023
% 0.21/0.37 % (28521)Time elapsed: 0.003 s
% 0.21/0.37 % (28521)Instructions burned: 3 (million)
% 0.21/0.37 % (28521)------------------------------
% 0.21/0.37 % (28521)------------------------------
% 0.21/0.37 % (28524)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)
% 0.21/0.38 % (28524)Instruction limit reached!
% 0.21/0.38 % (28524)------------------------------
% 0.21/0.38 % (28524)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.38 % (28524)Termination reason: Unknown
% 0.21/0.38 % (28524)Termination phase: shuffling
% 0.21/0.38
% 0.21/0.38 % (28524)Memory used [KB]: 1023
% 0.21/0.38 % (28524)Time elapsed: 0.004 s
% 0.21/0.38 % (28524)Instructions burned: 4 (million)
% 0.21/0.38 % (28524)------------------------------
% 0.21/0.38 % (28524)------------------------------
% 0.21/0.38 % (28519)Instruction limit reached!
% 0.21/0.38 % (28519)------------------------------
% 0.21/0.38 % (28519)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.38 % (28519)Termination reason: Unknown
% 0.21/0.38 % (28519)Termination phase: Saturation
% 0.21/0.38
% 0.21/0.38 % (28519)Memory used [KB]: 5756
% 0.21/0.38 % (28519)Time elapsed: 0.014 s
% 0.21/0.38 % (28519)Instructions burned: 27 (million)
% 0.21/0.38 % (28519)------------------------------
% 0.21/0.38 % (28519)------------------------------
% 0.21/0.38 % (28523)Instruction limit reached!
% 0.21/0.38 % (28523)------------------------------
% 0.21/0.38 % (28523)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.38 % (28523)Termination reason: Unknown
% 0.21/0.38 % (28523)Termination phase: Saturation
% 0.21/0.38
% 0.21/0.38 % (28523)Memory used [KB]: 5628
% 0.21/0.38 % (28523)Time elapsed: 0.012 s
% 0.21/0.38 % (28523)Instructions burned: 18 (million)
% 0.21/0.38 % (28523)------------------------------
% 0.21/0.38 % (28523)------------------------------
% 0.21/0.39 % (28532)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)
% 0.21/0.39 % (28533)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)
% 0.21/0.39 % (28534)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)
% 0.21/0.39 % (28539)lrs+10_1:1_av=off:chr=on:plsq=on:slsq=on:i=7:si=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.21/0.40 % (28534)Instruction limit reached!
% 0.21/0.40 % (28534)------------------------------
% 0.21/0.40 % (28534)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.40 % (28534)Termination reason: Unknown
% 0.21/0.40 % (28534)Termination phase: shuffling
% 0.21/0.40
% 0.21/0.40 % (28534)Memory used [KB]: 1023
% 0.21/0.40 % (28534)Time elapsed: 0.005 s
% 0.21/0.40 % (28534)Instructions burned: 4 (million)
% 0.21/0.40 % (28534)------------------------------
% 0.21/0.40 % (28534)------------------------------
% 0.21/0.40 % (28536)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)
% 0.21/0.40 % (28539)Instruction limit reached!
% 0.21/0.40 % (28539)------------------------------
% 0.21/0.40 % (28539)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.40 % (28539)Termination reason: Unknown
% 0.21/0.40 % (28539)Termination phase: Property scanning
% 0.21/0.40
% 0.21/0.40 % (28539)Memory used [KB]: 1023
% 0.21/0.40 % (28539)Time elapsed: 0.007 s
% 0.21/0.40 % (28539)Instructions burned: 7 (million)
% 0.21/0.40 % (28539)------------------------------
% 0.21/0.40 % (28539)------------------------------
% 0.21/0.41 % (28533)Instruction limit reached!
% 0.21/0.41 % (28533)------------------------------
% 0.21/0.41 % (28533)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.41 % (28533)Termination reason: Unknown
% 0.21/0.41 % (28533)Termination phase: Saturation
% 0.21/0.41
% 0.21/0.41 % (28533)Memory used [KB]: 5628
% 0.21/0.41 % (28533)Time elapsed: 0.016 s
% 0.21/0.41 % (28533)Instructions burned: 15 (million)
% 0.21/0.41 % (28533)------------------------------
% 0.21/0.41 % (28533)------------------------------
% 0.21/0.41 % (28542)lrs+10_1:1_acc=on:amm=sco:cs=on:tgt=full:i=16:si=on:rtra=on_0 on theBenchmark for (2999ds/16Mi)
% 0.21/0.42 % (28552)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)
% 0.21/0.42 % (28552)Instruction limit reached!
% 0.21/0.42 % (28552)------------------------------
% 0.21/0.42 % (28552)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.42 % (28551)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)
% 0.21/0.42 % (28552)Termination reason: Unknown
% 0.21/0.42 % (28552)Termination phase: shuffling
% 0.21/0.42
% 0.21/0.42 % (28552)Memory used [KB]: 1023
% 0.21/0.42 % (28552)Time elapsed: 0.004 s
% 0.21/0.42 % (28552)Instructions burned: 3 (million)
% 0.21/0.42 % (28552)------------------------------
% 0.21/0.42 % (28552)------------------------------
% 0.21/0.42 % (28542)Instruction limit reached!
% 0.21/0.42 % (28542)------------------------------
% 0.21/0.42 % (28542)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.42 % (28542)Termination reason: Unknown
% 0.21/0.42 % (28542)Termination phase: Saturation
% 0.21/0.42
% 0.21/0.42 % (28542)Memory used [KB]: 5884
% 0.21/0.42 % (28542)Time elapsed: 0.041 s
% 0.21/0.42 % (28542)Instructions burned: 16 (million)
% 0.21/0.42 % (28542)------------------------------
% 0.21/0.42 % (28542)------------------------------
% 0.21/0.42 % (28532)Instruction limit reached!
% 0.21/0.42 % (28532)------------------------------
% 0.21/0.42 % (28532)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.42 % (28532)Termination reason: Unknown
% 0.21/0.42 % (28532)Termination phase: Saturation
% 0.21/0.42
% 0.21/0.42 % (28551)Instruction limit reached!
% 0.21/0.42 % (28551)------------------------------
% 0.21/0.42 % (28551)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.42 % (28551)Termination reason: Unknown
% 0.21/0.42 % (28532)Memory used [KB]: 5884
% 0.21/0.42 % (28551)Termination phase: shuffling
% 0.21/0.42 % (28532)Time elapsed: 0.036 s
% 0.21/0.42
% 0.21/0.42 % (28532)Instructions burned: 37 (million)
% 0.21/0.42 % (28551)Memory used [KB]: 1023
% 0.21/0.42 % (28532)------------------------------
% 0.21/0.42 % (28532)------------------------------
% 0.21/0.42 % (28551)Time elapsed: 0.005 s
% 0.21/0.42 % (28551)Instructions burned: 3 (million)
% 0.21/0.42 % (28551)------------------------------
% 0.21/0.42 % (28551)------------------------------
% 0.21/0.43 % (28553)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)
% 0.21/0.44 % (28553)Instruction limit reached!
% 0.21/0.44 % (28553)------------------------------
% 0.21/0.44 % (28553)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.44 % (28553)Termination reason: Unknown
% 0.21/0.44 % (28553)Termination phase: Property scanning
% 0.21/0.44
% 0.21/0.44 % (28553)Memory used [KB]: 1023
% 0.21/0.44 % (28553)Time elapsed: 0.009 s
% 0.21/0.44 % (28553)Instructions burned: 7 (million)
% 0.21/0.44 % (28553)------------------------------
% 0.21/0.44 % (28553)------------------------------
% 0.21/0.44 % (28554)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)
% 0.21/0.45 % (28554)Instruction limit reached!
% 0.21/0.45 % (28554)------------------------------
% 0.21/0.45 % (28554)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.45 % (28554)Termination reason: Unknown
% 0.21/0.45 % (28554)Termination phase: shuffling
% 0.21/0.45
% 0.21/0.45 % (28554)Memory used [KB]: 1023
% 0.21/0.45 % (28554)Time elapsed: 0.005 s
% 0.21/0.45 % (28554)Instructions burned: 4 (million)
% 0.21/0.45 % (28554)------------------------------
% 0.21/0.45 % (28554)------------------------------
% 0.21/0.45 % (28555)dis+1004_1:1_cha=on:cs=on:fe=off:hud=1:i=4:si=on:rtra=on_0 on theBenchmark for (2999ds/4Mi)
% 0.21/0.45 % (28556)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)
% 0.21/0.45 % (28557)lrs+10_1:1_e2e=on:sd=1:sgt=8:ss=axioms:i=710:si=on:rtra=on_0 on theBenchmark for (2999ds/710Mi)
% 0.21/0.45 % (28555)Instruction limit reached!
% 0.21/0.45 % (28555)------------------------------
% 0.21/0.45 % (28555)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.45 % (28555)Termination reason: Unknown
% 0.21/0.45 % (28555)Termination phase: Property scanning
% 0.21/0.45
% 0.21/0.45 % (28555)Memory used [KB]: 1023
% 0.21/0.45 % (28555)Time elapsed: 0.006 s
% 0.21/0.45 % (28555)Instructions burned: 5 (million)
% 0.21/0.45 % (28555)------------------------------
% 0.21/0.45 % (28555)------------------------------
% 0.21/0.46 % (28558)lrs+1004_1:1_chr=on:prag=on:i=6:si=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 0.21/0.47 % (28559)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)
% 0.21/0.47 % (28558)Instruction limit reached!
% 0.21/0.47 % (28558)------------------------------
% 0.21/0.47 % (28558)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.47 % (28558)Termination reason: Unknown
% 0.21/0.47 % (28558)Termination phase: Clausification
% 0.21/0.47
% 0.21/0.47 % (28558)Memory used [KB]: 1023
% 0.21/0.47 % (28558)Time elapsed: 0.006 s
% 0.21/0.47 % (28558)Instructions burned: 6 (million)
% 0.21/0.47 % (28558)------------------------------
% 0.21/0.47 % (28558)------------------------------
% 0.21/0.47 % (28556)Instruction limit reached!
% 0.21/0.47 % (28556)------------------------------
% 0.21/0.47 % (28556)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.47 % (28556)Termination reason: Unknown
% 0.21/0.47 % (28556)Termination phase: Saturation
% 0.21/0.47
% 0.21/0.47 % (28556)Memory used [KB]: 5756
% 0.21/0.47 % (28556)Time elapsed: 0.021 s
% 0.21/0.47 % (28556)Instructions burned: 18 (million)
% 0.21/0.47 % (28556)------------------------------
% 0.21/0.47 % (28556)------------------------------
% 0.21/0.48 % (28560)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)
% 0.21/0.48 % (28559)Refutation not found, incomplete strategy
% 0.21/0.48 % (28559)------------------------------
% 0.21/0.48 % (28559)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.48 % (28559)Termination reason: Refutation not found, incomplete strategy
% 0.21/0.48
% 0.21/0.48
% 0.21/0.48 % (28559)Memory used [KB]: 5628
% 0.21/0.48 % (28559)Time elapsed: 0.011 s
% 0.21/0.48 % (28559)Instructions burned: 10 (million)
% 0.21/0.48 % (28559)------------------------------
% 0.21/0.48 % (28559)------------------------------
% 0.21/0.48 % (28561)dis+10_1:1_cnfonf=lazy_gen:fe=off:i=5:si=on:rtra=on_0 on theBenchmark for (2998ds/5Mi)
% 0.21/0.49 % (28561)Instruction limit reached!
% 0.21/0.49 % (28561)------------------------------
% 0.21/0.49 % (28561)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.49 % (28561)Termination reason: Unknown
% 0.21/0.49 % (28561)Termination phase: Property scanning
% 0.21/0.49
% 0.21/0.49 % (28561)Memory used [KB]: 1023
% 0.21/0.49 % (28561)Time elapsed: 0.004 s
% 0.21/0.49 % (28561)Instructions burned: 5 (million)
% 0.21/0.49 % (28561)------------------------------
% 0.21/0.49 % (28561)------------------------------
% 0.21/0.49 % (28560)Instruction limit reached!
% 0.21/0.49 % (28560)------------------------------
% 0.21/0.49 % (28560)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.49 % (28560)Termination reason: Unknown
% 0.21/0.49 % (28560)Termination phase: Saturation
% 0.21/0.49
% 0.21/0.49 % (28560)Memory used [KB]: 5756
% 0.21/0.49 % (28560)Time elapsed: 0.016 s
% 0.21/0.49 % (28560)Instructions burned: 21 (million)
% 0.21/0.49 % (28560)------------------------------
% 0.21/0.49 % (28560)------------------------------
% 0.21/0.49 % (28562)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 (2998ds/6Mi)
% 0.21/0.50 % (28562)Instruction limit reached!
% 0.21/0.50 % (28562)------------------------------
% 0.21/0.50 % (28562)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.50 % (28562)Termination reason: Unknown
% 0.21/0.50 % (28562)Termination phase: Property scanning
% 0.21/0.50
% 0.21/0.50 % (28562)Memory used [KB]: 1023
% 0.21/0.50 % (28562)Time elapsed: 0.006 s
% 0.21/0.50 % (28562)Instructions burned: 7 (million)
% 0.21/0.50 % (28562)------------------------------
% 0.21/0.50 % (28562)------------------------------
% 0.21/0.50 % (28563)lrs+1002_1:128_au=on:c=on:fsr=off:piset=equals:i=377:si=on:rtra=on_0 on theBenchmark for (2998ds/377Mi)
% 0.21/0.50 % (28564)dis+1010_1:4_atotf=0.2:c=on:cbe=off:cnfonf=lazy_simp:fe=off:ins=2:ntd=on:s2a=on:s2at=5.0:sgt=5:ss=axioms:st=1.5:i=779:si=on:rtra=on_0 on theBenchmark for (2998ds/779Mi)
% 0.21/0.51 % (28565)lrs+10_1:1_cnfonf=lazy_not_be_gen:ntd=on:sp=const_min:ss=axioms:sup=off:i=19:si=on:rtra=on_0 on theBenchmark for (2998ds/19Mi)
% 0.21/0.51 % (28566)lrs+1010_1:1_au=on:s2a=on:sd=1:sgt=50:ss=axioms:i=879:si=on:rtra=on_0 on theBenchmark for (2998ds/879Mi)
% 0.21/0.51 % (28565)Instruction limit reached!
% 0.21/0.51 % (28565)------------------------------
% 0.21/0.51 % (28565)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.51 % (28565)Termination reason: Unknown
% 0.21/0.51 % (28565)Termination phase: Saturation
% 0.21/0.51
% 0.21/0.51 % (28565)Memory used [KB]: 5628
% 0.21/0.51 % (28565)Time elapsed: 0.012 s
% 0.21/0.51 % (28565)Instructions burned: 20 (million)
% 0.21/0.51 % (28565)------------------------------
% 0.21/0.51 % (28565)------------------------------
% 0.21/0.52 % (28517)Instruction limit reached!
% 0.21/0.52 % (28517)------------------------------
% 0.21/0.52 % (28517)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.52 % (28517)Termination reason: Unknown
% 0.21/0.52 % (28517)Termination phase: Saturation
% 0.21/0.52
% 0.21/0.52 % (28517)Memory used [KB]: 7036
% 0.21/0.52 % (28517)Time elapsed: 0.153 s
% 0.21/0.52 % (28517)Instructions burned: 183 (million)
% 0.21/0.52 % (28517)------------------------------
% 0.21/0.52 % (28517)------------------------------
% 0.21/0.54 % (28568)ott+21_1:1_apa=on:au=on:cnfonf=off:sos=on:i=3:si=on:rtra=on_0 on theBenchmark for (2998ds/3Mi)
% 0.21/0.54 % (28568)Instruction limit reached!
% 0.21/0.54 % (28568)------------------------------
% 0.21/0.54 % (28568)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.54 % (28568)Termination reason: Unknown
% 0.21/0.54 % (28568)Termination phase: shuffling
% 0.21/0.54
% 0.21/0.54 % (28568)Memory used [KB]: 1023
% 0.21/0.54 % (28568)Time elapsed: 0.003 s
% 0.21/0.54 % (28568)Instructions burned: 4 (million)
% 0.21/0.54 % (28568)------------------------------
% 0.21/0.54 % (28568)------------------------------
% 1.54/0.55 % (28567)dis+1002_1:128_acc=on:er=filter:i=17:si=on:rtra=on_0 on theBenchmark for (2998ds/17Mi)
% 1.54/0.55 % (28569)lrs+1010_1:8_cnfonf=off:hud=1:inj=on:tnu=5:i=30:si=on:rtra=on_0 on theBenchmark for (2998ds/30Mi)
% 1.54/0.56 % (28567)Instruction limit reached!
% 1.54/0.56 % (28567)------------------------------
% 1.54/0.56 % (28567)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.54/0.56 % (28567)Termination reason: Unknown
% 1.54/0.56 % (28567)Termination phase: Saturation
% 1.54/0.56
% 1.54/0.56 % (28567)Memory used [KB]: 5628
% 1.54/0.56 % (28567)Time elapsed: 0.010 s
% 1.54/0.56 % (28567)Instructions burned: 17 (million)
% 1.54/0.56 % (28567)------------------------------
% 1.54/0.56 % (28567)------------------------------
% 1.54/0.56 % (28522)Refutation not found, non-redundant clauses discarded% (28522)------------------------------
% 1.54/0.56 % (28522)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.54/0.56 % (28522)Termination reason: Refutation not found, non-redundant clauses discarded
% 1.54/0.56
% 1.54/0.56 % (28522)Memory used [KB]: 6396
% 1.54/0.56 % (28522)Time elapsed: 0.188 s
% 1.54/0.56 % (28522)Instructions burned: 274 (million)
% 1.54/0.56 % (28522)------------------------------
% 1.54/0.56 % (28522)------------------------------
% 1.71/0.56 % (28569)Refutation not found, incomplete strategy
% 1.71/0.56 % (28569)------------------------------
% 1.71/0.56 % (28569)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.71/0.56 % (28569)Termination reason: Refutation not found, incomplete strategy
% 1.71/0.56
% 1.71/0.56
% 1.71/0.56 % (28569)Memory used [KB]: 5628
% 1.71/0.56 % (28569)Time elapsed: 0.010 s
% 1.71/0.56 % (28569)Instructions burned: 15 (million)
% 1.71/0.56 % (28569)------------------------------
% 1.71/0.56 % (28569)------------------------------
% 1.71/0.57 % (28570)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)
% 1.71/0.57 % (28571)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)
% 1.71/0.58 % (28572)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)
% 1.71/0.58 % (28572)Instruction limit reached!
% 1.71/0.58 % (28572)------------------------------
% 1.71/0.58 % (28572)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.71/0.58 % (28572)Termination reason: Unknown
% 1.71/0.58 % (28572)Termination phase: shuffling
% 1.71/0.58
% 1.71/0.58 % (28572)Memory used [KB]: 1023
% 1.71/0.58 % (28572)Time elapsed: 0.004 s
% 1.71/0.58 % (28572)Instructions burned: 4 (million)
% 1.71/0.58 % (28572)------------------------------
% 1.71/0.58 % (28572)------------------------------
% 1.71/0.59 % (28573)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 (2997ds/20Mi)
% 1.71/0.60 % (28573)Refutation not found, incomplete strategy
% 1.71/0.60 % (28573)------------------------------
% 1.71/0.60 % (28573)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.71/0.60 % (28573)Termination reason: Refutation not found, incomplete strategy
% 1.71/0.60
% 1.71/0.60
% 1.71/0.60 % (28573)Memory used [KB]: 5628
% 1.71/0.60 % (28573)Time elapsed: 0.008 s
% 1.71/0.60 % (28573)Instructions burned: 12 (million)
% 1.71/0.60 % (28573)------------------------------
% 1.71/0.60 % (28573)------------------------------
% 1.71/0.62 % (28574)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 (2997ds/86Mi)
% 1.71/0.62 % (28571)Refutation not found, incomplete strategy
% 1.71/0.62 % (28571)------------------------------
% 1.71/0.62 % (28571)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.71/0.62 % (28571)Termination reason: Refutation not found, incomplete strategy
% 1.71/0.62
% 1.71/0.62
% 1.71/0.62 % (28571)Memory used [KB]: 6012
% 1.71/0.62 % (28571)Time elapsed: 0.046 s
% 1.71/0.62 % (28571)Instructions burned: 83 (million)
% 1.71/0.62 % (28571)------------------------------
% 1.71/0.62 % (28571)------------------------------
% 1.71/0.63 % (28575)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 (2997ds/107Mi)
% 2.23/0.64 % (28570)Instruction limit reached!
% 2.23/0.64 % (28570)------------------------------
% 2.23/0.64 % (28570)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.23/0.64 % (28570)Termination reason: Unknown
% 2.23/0.64 % (28570)Termination phase: Saturation
% 2.23/0.64
% 2.23/0.64 % (28570)Memory used [KB]: 6140
% 2.23/0.64 % (28570)Time elapsed: 0.069 s
% 2.23/0.64 % (28570)Instructions burned: 128 (million)
% 2.23/0.64 % (28570)------------------------------
% 2.23/0.64 % (28570)------------------------------
% 2.23/0.64 % (28563)First to succeed.
% 2.23/0.65 % (28576)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 (2997ds/39Mi)
% 2.23/0.66 % (28563)Refutation found. Thanks to Tanya!
% 2.23/0.66 % SZS status Theorem for theBenchmark
% 2.23/0.66 % SZS output start Proof for theBenchmark
% 2.23/0.66 thf(type_def_5, type, mu: $tType).
% 2.23/0.66 thf(func_def_0, type, mu: $tType).
% 2.23/0.66 thf(func_def_1, type, meq_ind: mu > mu > $i > $o).
% 2.23/0.66 thf(func_def_2, type, meq_prop: ($i > $o) > ($i > $o) > $i > $o).
% 2.23/0.66 thf(func_def_4, type, mnot: ($i > $o) > $i > $o).
% 2.23/0.66 thf(func_def_5, type, mor: ($i > $o) > ($i > $o) > $i > $o).
% 2.23/0.66 thf(func_def_6, type, mand: ($i > $o) > ($i > $o) > $i > $o).
% 2.23/0.66 thf(func_def_7, type, mimplies: ($i > $o) > ($i > $o) > $i > $o).
% 2.23/0.66 thf(func_def_8, type, mimplied: ($i > $o) > ($i > $o) > $i > $o).
% 2.23/0.66 thf(func_def_9, type, mequiv: ($i > $o) > ($i > $o) > $i > $o).
% 2.23/0.66 thf(func_def_10, type, mxor: ($i > $o) > ($i > $o) > $i > $o).
% 2.23/0.66 thf(func_def_11, type, mforall_ind: (mu > $i > $o) > $i > $o).
% 2.23/0.66 thf(func_def_12, type, mforall_prop: (($i > $o) > $i > $o) > $i > $o).
% 2.23/0.66 thf(func_def_13, type, mexists_ind: (mu > $i > $o) > $i > $o).
% 2.23/0.66 thf(func_def_14, type, mexists_prop: (($i > $o) > $i > $o) > $i > $o).
% 2.23/0.66 thf(func_def_15, type, mtrue: $i > $o).
% 2.23/0.66 thf(func_def_16, type, mfalse: $i > $o).
% 2.23/0.66 thf(func_def_17, type, mbox: ($i > $i > $o) > ($i > $o) > $i > $o).
% 2.23/0.66 thf(func_def_18, type, mdia: ($i > $i > $o) > ($i > $o) > $i > $o).
% 2.23/0.66 thf(func_def_19, type, mreflexive: ($i > $i > $o) > $o).
% 2.23/0.66 thf(func_def_20, type, msymmetric: ($i > $i > $o) > $o).
% 2.23/0.66 thf(func_def_21, type, mserial: ($i > $i > $o) > $o).
% 2.23/0.66 thf(func_def_22, type, mtransitive: ($i > $i > $o) > $o).
% 2.23/0.66 thf(func_def_23, type, meuclidean: ($i > $i > $o) > $o).
% 2.23/0.66 thf(func_def_24, type, mpartially_functional: ($i > $i > $o) > $o).
% 2.23/0.66 thf(func_def_25, type, mfunctional: ($i > $i > $o) > $o).
% 2.23/0.66 thf(func_def_26, type, mweakly_dense: ($i > $i > $o) > $o).
% 2.23/0.66 thf(func_def_27, type, mweakly_connected: ($i > $i > $o) > $o).
% 2.23/0.66 thf(func_def_28, type, mweakly_directed: ($i > $i > $o) > $o).
% 2.23/0.66 thf(func_def_29, type, mvalid: ($i > $o) > $o).
% 2.23/0.66 thf(func_def_30, type, minvalid: ($i > $o) > $o).
% 2.23/0.66 thf(func_def_31, type, msatisfiable: ($i > $o) > $o).
% 2.23/0.66 thf(func_def_32, type, mcountersatisfiable: ($i > $o) > $o).
% 2.23/0.66 thf(func_def_48, type, sK0: $i > $i > $o).
% 2.23/0.66 thf(func_def_51, type, sK3: $i > $o).
% 2.23/0.66 thf(func_def_54, type, sK6: $i > $o).
% 2.23/0.66 thf(func_def_58, type, sK10: $i > $o).
% 2.23/0.66 thf(func_def_64, type, sK16: ($i > $o) > $i > $i).
% 2.23/0.66 thf(func_def_65, type, sK17: $i > ($i > $o) > $i).
% 2.23/0.66 thf(func_def_66, type, sK18: $i > ($i > $o) > $i).
% 2.23/0.66 thf(func_def_67, type, ph19: !>[X0: $tType]:(X0)).
% 2.23/0.66 thf(f2201,plain,(
% 2.23/0.66 $false),
% 2.23/0.66 inference(avatar_sat_refutation,[],[f317,f321,f328,f332,f341,f346,f355,f360,f368,f373,f378,f379,f387,f392,f397,f398,f402,f407,f411,f416,f474,f572,f613,f675,f754,f819,f1014,f1255,f1308,f1379,f1448,f1456,f1542,f1571,f1891,f1962,f2044,f2047,f2057,f2146])).
% 2.23/0.66 thf(f2146,plain,(
% 2.23/0.66 spl1_67 | ~spl1_2 | ~spl1_5 | ~spl1_13),
% 2.23/0.66 inference(avatar_split_clause,[],[f2144,f362,f326,f315,f1244])).
% 2.23/0.66 thf(f1244,plain,(
% 2.23/0.66 spl1_67 <=> ! [X0,X1] : (((sK0 @ X0 @ sK11) = $false) | ($true = (sK10 @ X1)) | ((sK0 @ X0 @ X1) = $false))),
% 2.23/0.66 introduced(avatar_definition,[new_symbols(naming,[spl1_67])])).
% 2.23/0.66 thf(f315,plain,(
% 2.23/0.66 spl1_2 <=> ! [X5 : $i > $o,X4,X7,X6] : (((X5 @ (sK16 @ X5 @ X6)) = $true) | ((X5 @ X7) = $false) | ((sK0 @ X4 @ X7) = $false) | ((sK0 @ X4 @ X6) = $false))),
% 2.23/0.66 introduced(avatar_definition,[new_symbols(naming,[spl1_2])])).
% 2.23/0.66 thf(f326,plain,(
% 2.23/0.66 spl1_5 <=> ! [X5 : $i > $o,X4,X7,X6] : (((sK0 @ X4 @ X6) = $false) | ((X5 @ X7) = $false) | ((sK0 @ X4 @ X7) = $false) | ($true = (sK0 @ X6 @ (sK16 @ X5 @ X6))))),
% 2.23/0.66 introduced(avatar_definition,[new_symbols(naming,[spl1_5])])).
% 2.23/0.66 thf(f362,plain,(
% 2.23/0.66 spl1_13 <=> ! [X1] : (($true = (sK10 @ X1)) | ((sK0 @ sK11 @ X1) = $false))),
% 2.23/0.66 introduced(avatar_definition,[new_symbols(naming,[spl1_13])])).
% 2.23/0.66 thf(f2144,plain,(
% 2.23/0.66 ( ! [X0 : $i,X1 : $i] : (((sK0 @ X0 @ sK11) = $false) | ((sK0 @ X0 @ X1) = $false) | ($true = (sK10 @ X1))) ) | (~spl1_2 | ~spl1_5 | ~spl1_13)),
% 2.23/0.66 inference(trivial_inequality_removal,[],[f2143])).
% 2.23/0.66 thf(f2143,plain,(
% 2.23/0.66 ( ! [X0 : $i,X1 : $i] : (($false != $false) | ((sK0 @ X0 @ X1) = $false) | (X1 != X1) | ($true = (sK10 @ X1)) | ((sK0 @ X0 @ sK11) = $false)) ) | (~spl1_2 | ~spl1_5 | ~spl1_13)),
% 2.23/0.66 inference(duplicate_literal_removal,[],[f2117])).
% 2.23/0.66 thf(f2117,plain,(
% 2.23/0.66 ( ! [X0 : $i,X1 : $i] : ((X1 != X1) | ($false != $false) | ((sK0 @ X0 @ sK11) = $false) | ((sK0 @ X0 @ X1) = $false) | ($true = (sK10 @ X1)) | ((sK0 @ X0 @ sK11) = $false)) ) | (~spl1_2 | ~spl1_5 | ~spl1_13)),
% 2.23/0.66 inference(equality_factoring,[],[f2086])).
% 2.23/0.66 thf(f2086,plain,(
% 2.23/0.66 ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i] : (($false = (sK0 @ X3 @ X0)) | ($false = (sK0 @ X2 @ X1)) | ($true = (sK10 @ X0)) | ($false = (sK0 @ X2 @ sK11)) | ((sK0 @ X3 @ sK11) = $false) | (X0 != X1)) ) | (~spl1_2 | ~spl1_5 | ~spl1_13)),
% 2.23/0.66 inference(equality_proxy_clausification,[],[f2084])).
% 2.23/0.66 thf(f2084,plain,(
% 2.23/0.66 ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i] : (((sK0 @ X3 @ sK11) = $false) | ($false = (sK0 @ X3 @ X0)) | ($false = (sK0 @ X2 @ sK11)) | ((X0 = X1) = $false) | ($false = (sK0 @ X2 @ X1)) | ($true = (sK10 @ X0))) ) | (~spl1_2 | ~spl1_5 | ~spl1_13)),
% 2.23/0.66 inference(superposition,[],[f2077,f1588])).
% 2.23/0.66 thf(f1588,plain,(
% 2.23/0.66 ( ! [X2 : $i,X0 : $i,X1 : $i] : (((sK16 @ (= @ X0) @ X1) = X0) | ($false = (sK0 @ X2 @ X1)) | ((sK0 @ X2 @ X0) = $false)) ) | ~spl1_2),
% 2.23/0.66 inference(leibniz_equality_elimination,[],[f316])).
% 2.23/0.66 thf(f316,plain,(
% 2.23/0.66 ( ! [X6 : $i,X7 : $i,X4 : $i,X5 : $i > $o] : (((X5 @ (sK16 @ X5 @ X6)) = $true) | ((sK0 @ X4 @ X7) = $false) | ((X5 @ X7) = $false) | ((sK0 @ X4 @ X6) = $false)) ) | ~spl1_2),
% 2.23/0.66 inference(avatar_component_clause,[],[f315])).
% 2.23/0.66 thf(f2077,plain,(
% 2.23/0.66 ( ! [X2 : $i,X0 : $i > $o,X1 : $i] : (($true = (sK10 @ (sK16 @ X0 @ sK11))) | ((X0 @ X1) = $false) | ($false = (sK0 @ X2 @ X1)) | ($false = (sK0 @ X2 @ sK11))) ) | (~spl1_5 | ~spl1_13)),
% 2.23/0.66 inference(trivial_inequality_removal,[],[f2073])).
% 2.23/0.66 thf(f2073,plain,(
% 2.23/0.66 ( ! [X2 : $i,X0 : $i > $o,X1 : $i] : (($true = (sK10 @ (sK16 @ X0 @ sK11))) | ($true = $false) | ($false = (sK0 @ X2 @ sK11)) | ((X0 @ X1) = $false) | ($false = (sK0 @ X2 @ X1))) ) | (~spl1_5 | ~spl1_13)),
% 2.23/0.66 inference(superposition,[],[f363,f327])).
% 2.23/0.66 thf(f327,plain,(
% 2.23/0.66 ( ! [X6 : $i,X7 : $i,X4 : $i,X5 : $i > $o] : (($true = (sK0 @ X6 @ (sK16 @ X5 @ X6))) | ((X5 @ X7) = $false) | ((sK0 @ X4 @ X6) = $false) | ((sK0 @ X4 @ X7) = $false)) ) | ~spl1_5),
% 2.23/0.66 inference(avatar_component_clause,[],[f326])).
% 2.23/0.66 thf(f363,plain,(
% 2.23/0.66 ( ! [X1 : $i] : (((sK0 @ sK11 @ X1) = $false) | ($true = (sK10 @ X1))) ) | ~spl1_13),
% 2.23/0.66 inference(avatar_component_clause,[],[f362])).
% 2.23/0.66 thf(f2057,plain,(
% 2.23/0.66 spl1_77 | ~spl1_15 | ~spl1_19 | ~spl1_25),
% 2.23/0.66 inference(avatar_split_clause,[],[f2054,f463,f389,f370,f1450])).
% 2.23/0.66 thf(f1450,plain,(
% 2.23/0.66 spl1_77 <=> ((sK3 @ sK12) = $false)),
% 2.23/0.66 introduced(avatar_definition,[new_symbols(naming,[spl1_77])])).
% 2.23/0.66 thf(f370,plain,(
% 2.23/0.66 spl1_15 <=> ($true = (sK0 @ sK2 @ sK12))),
% 2.23/0.66 introduced(avatar_definition,[new_symbols(naming,[spl1_15])])).
% 2.23/0.66 thf(f389,plain,(
% 2.23/0.66 spl1_19 <=> ($true = (sK0 @ sK2 @ sK5))),
% 2.23/0.66 introduced(avatar_definition,[new_symbols(naming,[spl1_19])])).
% 2.23/0.66 thf(f463,plain,(
% 2.23/0.66 spl1_25 <=> ! [X2,X3] : (((sK0 @ X3 @ sK5) = $false) | ((sK0 @ X3 @ X2) = $false) | ((sK3 @ X2) = $false))),
% 2.23/0.66 introduced(avatar_definition,[new_symbols(naming,[spl1_25])])).
% 2.23/0.66 thf(f2054,plain,(
% 2.23/0.66 ((sK3 @ sK12) = $false) | (~spl1_15 | ~spl1_19 | ~spl1_25)),
% 2.23/0.66 inference(trivial_inequality_removal,[],[f2052])).
% 2.23/0.66 thf(f2052,plain,(
% 2.23/0.66 ($true = $false) | ((sK3 @ sK12) = $false) | (~spl1_15 | ~spl1_19 | ~spl1_25)),
% 2.23/0.66 inference(superposition,[],[f372,f1977])).
% 2.23/0.66 thf(f1977,plain,(
% 2.23/0.66 ( ! [X0 : $i] : (((sK0 @ sK2 @ X0) = $false) | ($false = (sK3 @ X0))) ) | (~spl1_19 | ~spl1_25)),
% 2.23/0.66 inference(trivial_inequality_removal,[],[f1974])).
% 2.23/0.66 thf(f1974,plain,(
% 2.23/0.66 ( ! [X0 : $i] : (((sK0 @ sK2 @ X0) = $false) | ($false = (sK3 @ X0)) | ($true = $false)) ) | (~spl1_19 | ~spl1_25)),
% 2.23/0.66 inference(superposition,[],[f391,f464])).
% 2.23/0.66 thf(f464,plain,(
% 2.23/0.66 ( ! [X2 : $i,X3 : $i] : (((sK0 @ X3 @ sK5) = $false) | ((sK3 @ X2) = $false) | ((sK0 @ X3 @ X2) = $false)) ) | ~spl1_25),
% 2.23/0.66 inference(avatar_component_clause,[],[f463])).
% 2.23/0.66 thf(f391,plain,(
% 2.23/0.66 ($true = (sK0 @ sK2 @ sK5)) | ~spl1_19),
% 2.23/0.66 inference(avatar_component_clause,[],[f389])).
% 2.23/0.66 thf(f372,plain,(
% 2.23/0.66 ($true = (sK0 @ sK2 @ sK12)) | ~spl1_15),
% 2.23/0.66 inference(avatar_component_clause,[],[f370])).
% 2.23/0.66 thf(f2047,plain,(
% 2.23/0.66 ~spl1_14 | ~spl1_77),
% 2.23/0.66 inference(avatar_contradiction_clause,[],[f2046])).
% 2.23/0.66 thf(f2046,plain,(
% 2.23/0.66 $false | (~spl1_14 | ~spl1_77)),
% 2.23/0.66 inference(trivial_inequality_removal,[],[f2045])).
% 2.23/0.66 thf(f2045,plain,(
% 2.23/0.66 ($true = $false) | (~spl1_14 | ~spl1_77)),
% 2.23/0.66 inference(forward_demodulation,[],[f367,f1452])).
% 2.23/0.66 thf(f1452,plain,(
% 2.23/0.66 ((sK3 @ sK12) = $false) | ~spl1_77),
% 2.23/0.66 inference(avatar_component_clause,[],[f1450])).
% 2.23/0.66 thf(f367,plain,(
% 2.23/0.66 ((sK3 @ sK12) = $true) | ~spl1_14),
% 2.23/0.66 inference(avatar_component_clause,[],[f365])).
% 2.23/0.66 thf(f365,plain,(
% 2.23/0.66 spl1_14 <=> ((sK3 @ sK12) = $true)),
% 2.23/0.66 introduced(avatar_definition,[new_symbols(naming,[spl1_14])])).
% 2.23/0.66 thf(f2044,plain,(
% 2.23/0.66 spl1_67 | spl1_67 | ~spl1_4 | ~spl1_6 | ~spl1_13),
% 2.23/0.66 inference(avatar_split_clause,[],[f2036,f362,f330,f323,f1244,f1244])).
% 2.23/0.66 thf(f323,plain,(
% 2.23/0.66 spl1_4 <=> ! [X8,X3,X2 : $i > $o,X1] : (($true = (X2 @ X3)) | ((sK0 @ X1 @ X3) = $false) | ((sK0 @ X1 @ X8) = $false) | ((X2 @ (sK17 @ X8 @ X2)) = $false))),
% 2.23/0.66 introduced(avatar_definition,[new_symbols(naming,[spl1_4])])).
% 2.23/0.66 thf(f330,plain,(
% 2.23/0.66 spl1_6 <=> ! [X8,X3,X2 : $i > $o,X1] : (($true = (X2 @ X3)) | ((sK0 @ X1 @ X3) = $false) | ((sK0 @ X1 @ X8) = $false) | ($true = (sK0 @ X8 @ (sK17 @ X8 @ X2))))),
% 2.23/0.66 introduced(avatar_definition,[new_symbols(naming,[spl1_6])])).
% 2.23/0.66 thf(f2036,plain,(
% 2.23/0.66 ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i] : (((sK0 @ X3 @ X2) = $false) | ((sK0 @ X3 @ sK11) = $false) | ($true = (sK10 @ X1)) | ((sK0 @ X0 @ sK11) = $false) | ($true = (sK10 @ X2)) | ((sK0 @ X0 @ X1) = $false)) ) | (~spl1_4 | ~spl1_6 | ~spl1_13)),
% 2.23/0.66 inference(trivial_inequality_removal,[],[f2034])).
% 2.23/0.66 thf(f2034,plain,(
% 2.23/0.66 ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i] : (($true = (sK10 @ X2)) | ($true = $false) | ($true = (sK10 @ X1)) | ((sK0 @ X0 @ X1) = $false) | ((sK0 @ X3 @ sK11) = $false) | ((sK0 @ X3 @ X2) = $false) | ((sK0 @ X0 @ sK11) = $false)) ) | (~spl1_4 | ~spl1_6 | ~spl1_13)),
% 2.23/0.66 inference(superposition,[],[f324,f1945])).
% 2.23/0.66 thf(f1945,plain,(
% 2.23/0.66 ( ! [X2 : $i,X0 : $i > $o,X1 : $i] : (($true = (sK10 @ (sK17 @ sK11 @ X0))) | ($true = (X0 @ X1)) | ($false = (sK0 @ X2 @ sK11)) | ($false = (sK0 @ X2 @ X1))) ) | (~spl1_6 | ~spl1_13)),
% 2.23/0.66 inference(trivial_inequality_removal,[],[f1926])).
% 2.23/0.66 thf(f1926,plain,(
% 2.23/0.66 ( ! [X2 : $i,X0 : $i > $o,X1 : $i] : (($true = $false) | ($false = (sK0 @ X2 @ X1)) | ($true = (sK10 @ (sK17 @ sK11 @ X0))) | ($true = (X0 @ X1)) | ($false = (sK0 @ X2 @ sK11))) ) | (~spl1_6 | ~spl1_13)),
% 2.23/0.66 inference(superposition,[],[f331,f363])).
% 2.23/0.66 thf(f331,plain,(
% 2.23/0.66 ( ! [X2 : $i > $o,X3 : $i,X1 : $i,X8 : $i] : (($true = (sK0 @ X8 @ (sK17 @ X8 @ X2))) | ($true = (X2 @ X3)) | ((sK0 @ X1 @ X3) = $false) | ((sK0 @ X1 @ X8) = $false)) ) | ~spl1_6),
% 2.23/0.66 inference(avatar_component_clause,[],[f330])).
% 2.23/0.66 thf(f324,plain,(
% 2.23/0.66 ( ! [X2 : $i > $o,X3 : $i,X1 : $i,X8 : $i] : (((X2 @ (sK17 @ X8 @ X2)) = $false) | ((sK0 @ X1 @ X8) = $false) | ($true = (X2 @ X3)) | ((sK0 @ X1 @ X3) = $false)) ) | ~spl1_4),
% 2.23/0.66 inference(avatar_component_clause,[],[f323])).
% 2.23/0.66 thf(f1962,plain,(
% 2.23/0.66 spl1_72 | spl1_72 | ~spl1_4 | ~spl1_6 | ~spl1_23),
% 2.23/0.66 inference(avatar_split_clause,[],[f1950,f409,f330,f323,f1376,f1376])).
% 2.23/0.66 thf(f1376,plain,(
% 2.23/0.66 spl1_72 <=> ! [X2,X3] : (((sK0 @ X3 @ X2) = $false) | ($false = (sK0 @ X3 @ sK7)) | ($true = (sK6 @ X2)))),
% 2.23/0.66 introduced(avatar_definition,[new_symbols(naming,[spl1_72])])).
% 2.23/0.66 thf(f409,plain,(
% 2.23/0.66 spl1_23 <=> ! [X1] : (((sK0 @ sK7 @ X1) = $false) | ((sK6 @ X1) = $true))),
% 2.23/0.66 introduced(avatar_definition,[new_symbols(naming,[spl1_23])])).
% 2.23/0.66 thf(f1950,plain,(
% 2.23/0.66 ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i] : (($true = (sK6 @ X2)) | ((sK0 @ X0 @ sK7) = $false) | ((sK0 @ X3 @ X2) = $false) | ((sK0 @ X0 @ X1) = $false) | ($false = (sK0 @ X3 @ sK7)) | ((sK6 @ X1) = $true)) ) | (~spl1_4 | ~spl1_6 | ~spl1_23)),
% 2.23/0.66 inference(trivial_inequality_removal,[],[f1948])).
% 2.23/0.66 thf(f1948,plain,(
% 2.23/0.66 ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i] : (((sK0 @ X0 @ X1) = $false) | ((sK6 @ X1) = $true) | ($true = $false) | ($true = (sK6 @ X2)) | ((sK0 @ X0 @ sK7) = $false) | ((sK0 @ X3 @ X2) = $false) | ($false = (sK0 @ X3 @ sK7))) ) | (~spl1_4 | ~spl1_6 | ~spl1_23)),
% 2.23/0.66 inference(superposition,[],[f324,f1940])).
% 2.23/0.66 thf(f1940,plain,(
% 2.23/0.66 ( ! [X2 : $i,X0 : $i > $o,X1 : $i] : (($true = (sK6 @ (sK17 @ sK7 @ X0))) | ($true = (X0 @ X1)) | ((sK0 @ X2 @ sK7) = $false) | ($false = (sK0 @ X2 @ X1))) ) | (~spl1_6 | ~spl1_23)),
% 2.23/0.66 inference(trivial_inequality_removal,[],[f1925])).
% 2.23/0.66 thf(f1925,plain,(
% 2.23/0.66 ( ! [X2 : $i,X0 : $i > $o,X1 : $i] : (($false = (sK0 @ X2 @ X1)) | ($true = $false) | ($true = (sK6 @ (sK17 @ sK7 @ X0))) | ((sK0 @ X2 @ sK7) = $false) | ($true = (X0 @ X1))) ) | (~spl1_6 | ~spl1_23)),
% 2.23/0.66 inference(superposition,[],[f331,f410])).
% 2.23/0.66 thf(f410,plain,(
% 2.23/0.66 ( ! [X1 : $i] : (((sK0 @ sK7 @ X1) = $false) | ((sK6 @ X1) = $true)) ) | ~spl1_23),
% 2.23/0.66 inference(avatar_component_clause,[],[f409])).
% 2.23/0.66 thf(f1891,plain,(
% 2.23/0.66 ~spl1_2 | ~spl1_5 | ~spl1_18 | ~spl1_20 | ~spl1_23 | ~spl1_24),
% 2.23/0.66 inference(avatar_contradiction_clause,[],[f1890])).
% 2.23/0.66 thf(f1890,plain,(
% 2.23/0.66 $false | (~spl1_2 | ~spl1_5 | ~spl1_18 | ~spl1_20 | ~spl1_23 | ~spl1_24)),
% 2.23/0.66 inference(trivial_inequality_removal,[],[f1870])).
% 2.23/0.66 thf(f1870,plain,(
% 2.23/0.66 (sK9 != sK9) | ($true = $false) | (~spl1_2 | ~spl1_5 | ~spl1_18 | ~spl1_20 | ~spl1_23 | ~spl1_24)),
% 2.23/0.66 inference(superposition,[],[f396,f1796])).
% 2.23/0.66 thf(f1796,plain,(
% 2.23/0.66 ( ! [X0 : $i] : (($false = (sK0 @ sK4 @ X0)) | (sK9 != X0)) ) | (~spl1_2 | ~spl1_5 | ~spl1_18 | ~spl1_20 | ~spl1_23 | ~spl1_24)),
% 2.23/0.66 inference(trivial_inequality_removal,[],[f1795])).
% 2.23/0.66 thf(f1795,plain,(
% 2.23/0.66 ( ! [X0 : $i] : (($true = $false) | ($false = (sK0 @ sK4 @ X0)) | (sK9 != X0)) ) | (~spl1_2 | ~spl1_5 | ~spl1_18 | ~spl1_20 | ~spl1_23 | ~spl1_24)),
% 2.23/0.66 inference(forward_demodulation,[],[f1773,f386])).
% 2.23/0.66 thf(f386,plain,(
% 2.23/0.66 ((sK6 @ sK9) = $false) | ~spl1_18),
% 2.23/0.66 inference(avatar_component_clause,[],[f384])).
% 2.23/0.66 thf(f384,plain,(
% 2.23/0.66 spl1_18 <=> ((sK6 @ sK9) = $false)),
% 2.23/0.66 introduced(avatar_definition,[new_symbols(naming,[spl1_18])])).
% 2.23/0.66 thf(f1773,plain,(
% 2.23/0.66 ( ! [X0 : $i] : ((sK9 != X0) | ((sK6 @ sK9) = $true) | ($false = (sK0 @ sK4 @ X0))) ) | (~spl1_2 | ~spl1_5 | ~spl1_20 | ~spl1_23 | ~spl1_24)),
% 2.23/0.66 inference(trivial_inequality_removal,[],[f1756])).
% 2.23/0.66 thf(f1756,plain,(
% 2.23/0.66 ( ! [X0 : $i] : (($true = $false) | ($false = (sK0 @ sK4 @ X0)) | (sK9 != X0) | ((sK6 @ sK9) = $true)) ) | (~spl1_2 | ~spl1_5 | ~spl1_20 | ~spl1_23 | ~spl1_24)),
% 2.23/0.66 inference(superposition,[],[f1751,f396])).
% 2.23/0.66 thf(f1751,plain,(
% 2.23/0.66 ( ! [X0 : $i,X1 : $i] : (($false = (sK0 @ sK4 @ X1)) | ($false = (sK0 @ sK4 @ X0)) | ((sK6 @ X1) = $true) | (X0 != X1)) ) | (~spl1_2 | ~spl1_5 | ~spl1_23 | ~spl1_24)),
% 2.23/0.66 inference(trivial_inequality_removal,[],[f1746])).
% 2.23/0.66 thf(f1746,plain,(
% 2.23/0.66 ( ! [X0 : $i,X1 : $i] : (($true = $false) | (X0 != X1) | ($false = (sK0 @ sK4 @ X1)) | ($false = (sK0 @ sK4 @ X0)) | ((sK6 @ X1) = $true)) ) | (~spl1_2 | ~spl1_5 | ~spl1_23 | ~spl1_24)),
% 2.23/0.66 inference(superposition,[],[f415,f1660])).
% 2.23/0.66 thf(f1660,plain,(
% 2.23/0.66 ( ! [X2 : $i,X0 : $i,X1 : $i] : (((sK0 @ X0 @ sK7) = $false) | ((sK0 @ X0 @ X2) = $false) | ((sK0 @ X0 @ X1) = $false) | ((sK6 @ X1) = $true) | (X1 != X2)) ) | (~spl1_2 | ~spl1_5 | ~spl1_23)),
% 2.23/0.66 inference(trivial_inequality_removal,[],[f1659])).
% 2.23/0.66 thf(f1659,plain,(
% 2.23/0.66 ( ! [X2 : $i,X0 : $i,X1 : $i] : ((X1 != X2) | ((sK0 @ X0 @ X2) = $false) | ((sK0 @ X0 @ X1) = $false) | ($false != $false) | ((sK6 @ X1) = $true) | ((sK0 @ X0 @ sK7) = $false)) ) | (~spl1_2 | ~spl1_5 | ~spl1_23)),
% 2.23/0.66 inference(equality_factoring,[],[f1653])).
% 2.23/0.66 thf(f1653,plain,(
% 2.23/0.66 ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i] : (($false = (sK0 @ X3 @ sK7)) | ($true = (sK6 @ X0)) | ($false = (sK0 @ X3 @ X0)) | ($false = (sK0 @ X2 @ X1)) | ((sK0 @ X2 @ sK7) = $false) | (X0 != X1)) ) | (~spl1_2 | ~spl1_5 | ~spl1_23)),
% 2.23/0.66 inference(equality_proxy_clausification,[],[f1651])).
% 2.23/0.66 thf(f1651,plain,(
% 2.23/0.66 ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i] : (($false = (sK0 @ X2 @ X1)) | ($true = (sK6 @ X0)) | ((X0 = X1) = $false) | ((sK0 @ X2 @ sK7) = $false) | ($false = (sK0 @ X3 @ sK7)) | ($false = (sK0 @ X3 @ X0))) ) | (~spl1_2 | ~spl1_5 | ~spl1_23)),
% 2.23/0.66 inference(superposition,[],[f1584,f1588])).
% 2.23/0.66 thf(f1584,plain,(
% 2.23/0.66 ( ! [X2 : $i,X0 : $i > $o,X1 : $i] : (((sK6 @ (sK16 @ X0 @ sK7)) = $true) | ((X0 @ X2) = $false) | ((sK0 @ X1 @ sK7) = $false) | ((sK0 @ X1 @ X2) = $false)) ) | (~spl1_5 | ~spl1_23)),
% 2.23/0.66 inference(trivial_inequality_removal,[],[f1580])).
% 2.23/0.66 thf(f1580,plain,(
% 2.23/0.66 ( ! [X2 : $i,X0 : $i > $o,X1 : $i] : (((X0 @ X2) = $false) | ((sK0 @ X1 @ sK7) = $false) | ((sK6 @ (sK16 @ X0 @ sK7)) = $true) | ($true = $false) | ((sK0 @ X1 @ X2) = $false)) ) | (~spl1_5 | ~spl1_23)),
% 2.23/0.66 inference(superposition,[],[f410,f327])).
% 2.23/0.66 thf(f415,plain,(
% 2.23/0.66 ($true = (sK0 @ sK4 @ sK7)) | ~spl1_24),
% 2.23/0.66 inference(avatar_component_clause,[],[f413])).
% 2.23/0.66 thf(f413,plain,(
% 2.23/0.66 spl1_24 <=> ($true = (sK0 @ sK4 @ sK7))),
% 2.23/0.66 introduced(avatar_definition,[new_symbols(naming,[spl1_24])])).
% 2.23/0.66 thf(f396,plain,(
% 2.23/0.66 ($true = (sK0 @ sK4 @ sK9)) | ~spl1_20),
% 2.23/0.66 inference(avatar_component_clause,[],[f394])).
% 2.23/0.66 thf(f394,plain,(
% 2.23/0.66 spl1_20 <=> ($true = (sK0 @ sK4 @ sK9))),
% 2.23/0.66 introduced(avatar_definition,[new_symbols(naming,[spl1_20])])).
% 2.23/0.66 thf(f1571,plain,(
% 2.23/0.66 spl1_61 | ~spl1_10 | ~spl1_19 | ~spl1_25),
% 2.23/0.66 inference(avatar_split_clause,[],[f1567,f463,f389,f348,f1077])).
% 2.23/0.66 thf(f1077,plain,(
% 2.23/0.66 spl1_61 <=> ((sK3 @ sK13) = $false)),
% 2.23/0.66 introduced(avatar_definition,[new_symbols(naming,[spl1_61])])).
% 2.23/0.66 thf(f348,plain,(
% 2.23/0.66 spl1_10 <=> ($true = (sK0 @ sK2 @ sK13))),
% 2.23/0.66 introduced(avatar_definition,[new_symbols(naming,[spl1_10])])).
% 2.23/0.66 thf(f1567,plain,(
% 2.23/0.66 ((sK3 @ sK13) = $false) | (~spl1_10 | ~spl1_19 | ~spl1_25)),
% 2.23/0.66 inference(trivial_inequality_removal,[],[f1556])).
% 2.23/0.66 thf(f1556,plain,(
% 2.23/0.66 ($true = $false) | ((sK3 @ sK13) = $false) | (~spl1_10 | ~spl1_19 | ~spl1_25)),
% 2.23/0.66 inference(superposition,[],[f1493,f350])).
% 2.23/0.66 thf(f350,plain,(
% 2.23/0.66 ($true = (sK0 @ sK2 @ sK13)) | ~spl1_10),
% 2.23/0.66 inference(avatar_component_clause,[],[f348])).
% 2.23/0.66 thf(f1493,plain,(
% 2.23/0.66 ( ! [X0 : $i] : (((sK0 @ sK2 @ X0) = $false) | ($false = (sK3 @ X0))) ) | (~spl1_19 | ~spl1_25)),
% 2.23/0.66 inference(trivial_inequality_removal,[],[f1486])).
% 2.23/0.66 thf(f1486,plain,(
% 2.23/0.66 ( ! [X0 : $i] : (($false = (sK3 @ X0)) | ($true = $false) | ((sK0 @ sK2 @ X0) = $false)) ) | (~spl1_19 | ~spl1_25)),
% 2.23/0.66 inference(superposition,[],[f391,f464])).
% 2.23/0.66 thf(f1542,plain,(
% 2.23/0.66 ~spl1_11 | ~spl1_12 | ~spl1_16 | ~spl1_67),
% 2.23/0.66 inference(avatar_contradiction_clause,[],[f1541])).
% 2.23/0.66 thf(f1541,plain,(
% 2.23/0.66 $false | (~spl1_11 | ~spl1_12 | ~spl1_16 | ~spl1_67)),
% 2.23/0.66 inference(trivial_inequality_removal,[],[f1540])).
% 2.23/0.66 thf(f1540,plain,(
% 2.23/0.66 ($true = $false) | (~spl1_11 | ~spl1_12 | ~spl1_16 | ~spl1_67)),
% 2.23/0.66 inference(forward_demodulation,[],[f1521,f354])).
% 2.23/0.66 thf(f354,plain,(
% 2.23/0.66 ((sK10 @ sK14) = $false) | ~spl1_11),
% 2.23/0.66 inference(avatar_component_clause,[],[f352])).
% 2.23/0.66 thf(f352,plain,(
% 2.23/0.66 spl1_11 <=> ((sK10 @ sK14) = $false)),
% 2.23/0.66 introduced(avatar_definition,[new_symbols(naming,[spl1_11])])).
% 2.23/0.66 thf(f1521,plain,(
% 2.23/0.66 ((sK10 @ sK14) = $true) | (~spl1_12 | ~spl1_16 | ~spl1_67)),
% 2.23/0.66 inference(trivial_inequality_removal,[],[f1515])).
% 2.23/0.66 thf(f1515,plain,(
% 2.23/0.66 ((sK10 @ sK14) = $true) | ($true = $false) | (~spl1_12 | ~spl1_16 | ~spl1_67)),
% 2.23/0.66 inference(superposition,[],[f359,f1484])).
% 2.23/0.66 thf(f1484,plain,(
% 2.23/0.66 ( ! [X0 : $i] : (($false = (sK0 @ sK4 @ X0)) | ($true = (sK10 @ X0))) ) | (~spl1_16 | ~spl1_67)),
% 2.23/0.66 inference(trivial_inequality_removal,[],[f1477])).
% 2.23/0.66 thf(f1477,plain,(
% 2.23/0.66 ( ! [X0 : $i] : (($true = $false) | ($true = (sK10 @ X0)) | ($false = (sK0 @ sK4 @ X0))) ) | (~spl1_16 | ~spl1_67)),
% 2.23/0.66 inference(superposition,[],[f377,f1245])).
% 2.23/0.66 thf(f1245,plain,(
% 2.23/0.66 ( ! [X0 : $i,X1 : $i] : (((sK0 @ X0 @ sK11) = $false) | ((sK0 @ X0 @ X1) = $false) | ($true = (sK10 @ X1))) ) | ~spl1_67),
% 2.23/0.66 inference(avatar_component_clause,[],[f1244])).
% 2.23/0.66 thf(f377,plain,(
% 2.23/0.66 ($true = (sK0 @ sK4 @ sK11)) | ~spl1_16),
% 2.23/0.66 inference(avatar_component_clause,[],[f375])).
% 2.23/0.66 thf(f375,plain,(
% 2.23/0.66 spl1_16 <=> ($true = (sK0 @ sK4 @ sK11))),
% 2.23/0.66 introduced(avatar_definition,[new_symbols(naming,[spl1_16])])).
% 2.23/0.66 thf(f359,plain,(
% 2.23/0.66 ($true = (sK0 @ sK4 @ sK14)) | ~spl1_12),
% 2.23/0.66 inference(avatar_component_clause,[],[f357])).
% 2.23/0.66 thf(f357,plain,(
% 2.23/0.66 spl1_12 <=> ($true = (sK0 @ sK4 @ sK14))),
% 2.23/0.66 introduced(avatar_definition,[new_symbols(naming,[spl1_12])])).
% 2.23/0.66 thf(f1456,plain,(
% 2.23/0.66 ~spl1_8 | ~spl1_61),
% 2.23/0.66 inference(avatar_contradiction_clause,[],[f1455])).
% 2.23/0.66 thf(f1455,plain,(
% 2.23/0.66 $false | (~spl1_8 | ~spl1_61)),
% 2.23/0.66 inference(trivial_inequality_removal,[],[f1454])).
% 2.23/0.66 thf(f1454,plain,(
% 2.23/0.66 ($true = $false) | (~spl1_8 | ~spl1_61)),
% 2.23/0.66 inference(forward_demodulation,[],[f340,f1079])).
% 2.23/0.66 thf(f1079,plain,(
% 2.23/0.66 ((sK3 @ sK13) = $false) | ~spl1_61),
% 2.23/0.66 inference(avatar_component_clause,[],[f1077])).
% 2.23/0.66 thf(f340,plain,(
% 2.23/0.66 ($true = (sK3 @ sK13)) | ~spl1_8),
% 2.23/0.66 inference(avatar_component_clause,[],[f338])).
% 2.23/0.66 thf(f338,plain,(
% 2.23/0.66 spl1_8 <=> ($true = (sK3 @ sK13))),
% 2.23/0.66 introduced(avatar_definition,[new_symbols(naming,[spl1_8])])).
% 2.23/0.66 thf(f1448,plain,(
% 2.23/0.66 ~spl1_18 | ~spl1_20 | ~spl1_24 | ~spl1_72),
% 2.23/0.66 inference(avatar_contradiction_clause,[],[f1447])).
% 2.23/0.66 thf(f1447,plain,(
% 2.23/0.66 $false | (~spl1_18 | ~spl1_20 | ~spl1_24 | ~spl1_72)),
% 2.23/0.66 inference(trivial_inequality_removal,[],[f1446])).
% 2.23/0.66 thf(f1446,plain,(
% 2.23/0.66 ($true = $false) | (~spl1_18 | ~spl1_20 | ~spl1_24 | ~spl1_72)),
% 2.23/0.66 inference(forward_demodulation,[],[f1437,f386])).
% 2.23/0.66 thf(f1437,plain,(
% 2.23/0.66 ((sK6 @ sK9) = $true) | (~spl1_20 | ~spl1_24 | ~spl1_72)),
% 2.23/0.66 inference(trivial_inequality_removal,[],[f1425])).
% 2.23/0.66 thf(f1425,plain,(
% 2.23/0.66 ($true = $false) | ((sK6 @ sK9) = $true) | (~spl1_20 | ~spl1_24 | ~spl1_72)),
% 2.23/0.66 inference(superposition,[],[f396,f1395])).
% 2.23/0.66 thf(f1395,plain,(
% 2.23/0.66 ( ! [X0 : $i] : (($false = (sK0 @ sK4 @ X0)) | ($true = (sK6 @ X0))) ) | (~spl1_24 | ~spl1_72)),
% 2.23/0.66 inference(trivial_inequality_removal,[],[f1390])).
% 2.23/0.66 thf(f1390,plain,(
% 2.23/0.66 ( ! [X0 : $i] : (($true = (sK6 @ X0)) | ($true = $false) | ($false = (sK0 @ sK4 @ X0))) ) | (~spl1_24 | ~spl1_72)),
% 2.23/0.66 inference(superposition,[],[f415,f1377])).
% 2.23/0.66 thf(f1377,plain,(
% 2.23/0.66 ( ! [X2 : $i,X3 : $i] : (($false = (sK0 @ X3 @ sK7)) | ($true = (sK6 @ X2)) | ((sK0 @ X3 @ X2) = $false)) ) | ~spl1_72),
% 2.23/0.66 inference(avatar_component_clause,[],[f1376])).
% 2.23/0.66 thf(f1379,plain,(
% 2.23/0.66 spl1_72 | spl1_72 | ~spl1_1 | ~spl1_3 | ~spl1_23),
% 2.23/0.66 inference(avatar_split_clause,[],[f1373,f409,f319,f312,f1376,f1376])).
% 2.23/0.66 thf(f312,plain,(
% 2.23/0.66 spl1_1 <=> ! [X8,X3,X2 : $i > $o,X1] : (((sK0 @ X1 @ X3) = $false) | ($true = (X2 @ X3)) | ((sK0 @ X1 @ X8) = $false) | ($false = (X2 @ (sK18 @ X8 @ X2))))),
% 2.23/0.66 introduced(avatar_definition,[new_symbols(naming,[spl1_1])])).
% 2.23/0.66 thf(f319,plain,(
% 2.23/0.66 spl1_3 <=> ! [X8,X3,X2 : $i > $o,X1] : (($true = (X2 @ X3)) | ((sK0 @ X1 @ X8) = $false) | ((sK0 @ X1 @ X3) = $false) | ($true = (sK0 @ X8 @ (sK18 @ X8 @ X2))))),
% 2.23/0.66 introduced(avatar_definition,[new_symbols(naming,[spl1_3])])).
% 2.23/0.66 thf(f1373,plain,(
% 2.23/0.66 ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i] : (($true = (sK6 @ X0)) | ((sK0 @ X2 @ sK7) = $false) | ((sK6 @ X3) = $true) | ((sK0 @ X1 @ sK7) = $false) | ((sK0 @ X1 @ X0) = $false) | ((sK0 @ X2 @ X3) = $false)) ) | (~spl1_1 | ~spl1_3 | ~spl1_23)),
% 2.23/0.66 inference(trivial_inequality_removal,[],[f1366])).
% 2.23/0.66 thf(f1366,plain,(
% 2.23/0.66 ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i] : (($true = $false) | ($true = (sK6 @ X0)) | ((sK0 @ X2 @ sK7) = $false) | ((sK0 @ X1 @ X0) = $false) | ((sK0 @ X1 @ sK7) = $false) | ((sK6 @ X3) = $true) | ((sK0 @ X2 @ X3) = $false)) ) | (~spl1_1 | ~spl1_3 | ~spl1_23)),
% 2.23/0.66 inference(superposition,[],[f1354,f313])).
% 2.23/0.66 thf(f313,plain,(
% 2.23/0.66 ( ! [X2 : $i > $o,X3 : $i,X1 : $i,X8 : $i] : (($false = (X2 @ (sK18 @ X8 @ X2))) | ((sK0 @ X1 @ X3) = $false) | ($true = (X2 @ X3)) | ((sK0 @ X1 @ X8) = $false)) ) | ~spl1_1),
% 2.23/0.66 inference(avatar_component_clause,[],[f312])).
% 2.23/0.66 thf(f1354,plain,(
% 2.23/0.66 ( ! [X2 : $i,X0 : $i > $o,X1 : $i] : (($true = (sK6 @ (sK18 @ sK7 @ X0))) | ((X0 @ X2) = $true) | ((sK0 @ X1 @ sK7) = $false) | ((sK0 @ X1 @ X2) = $false)) ) | (~spl1_3 | ~spl1_23)),
% 2.23/0.66 inference(trivial_inequality_removal,[],[f1347])).
% 2.23/0.66 thf(f1347,plain,(
% 2.23/0.66 ( ! [X2 : $i,X0 : $i > $o,X1 : $i] : (($true = $false) | ((X0 @ X2) = $true) | ((sK0 @ X1 @ X2) = $false) | ($true = (sK6 @ (sK18 @ sK7 @ X0))) | ((sK0 @ X1 @ sK7) = $false)) ) | (~spl1_3 | ~spl1_23)),
% 2.23/0.66 inference(superposition,[],[f320,f410])).
% 2.23/0.66 thf(f320,plain,(
% 2.23/0.66 ( ! [X2 : $i > $o,X3 : $i,X1 : $i,X8 : $i] : (($true = (sK0 @ X8 @ (sK18 @ X8 @ X2))) | ((sK0 @ X1 @ X8) = $false) | ($true = (X2 @ X3)) | ((sK0 @ X1 @ X3) = $false)) ) | ~spl1_3),
% 2.23/0.66 inference(avatar_component_clause,[],[f319])).
% 2.23/0.66 thf(f1308,plain,(
% 2.23/0.66 ~spl1_7 | ~spl1_9 | ~spl1_16 | ~spl1_67),
% 2.23/0.66 inference(avatar_contradiction_clause,[],[f1307])).
% 2.23/0.66 thf(f1307,plain,(
% 2.23/0.66 $false | (~spl1_7 | ~spl1_9 | ~spl1_16 | ~spl1_67)),
% 2.23/0.66 inference(trivial_inequality_removal,[],[f1306])).
% 2.23/0.66 thf(f1306,plain,(
% 2.23/0.66 ($true = $false) | (~spl1_7 | ~spl1_9 | ~spl1_16 | ~spl1_67)),
% 2.23/0.66 inference(forward_demodulation,[],[f1288,f336])).
% 2.23/0.66 thf(f336,plain,(
% 2.23/0.66 ((sK10 @ sK15) = $false) | ~spl1_7),
% 2.23/0.66 inference(avatar_component_clause,[],[f334])).
% 2.23/0.66 thf(f334,plain,(
% 2.23/0.66 spl1_7 <=> ((sK10 @ sK15) = $false)),
% 2.23/0.66 introduced(avatar_definition,[new_symbols(naming,[spl1_7])])).
% 2.23/0.66 thf(f1288,plain,(
% 2.23/0.66 ((sK10 @ sK15) = $true) | (~spl1_9 | ~spl1_16 | ~spl1_67)),
% 2.23/0.66 inference(trivial_inequality_removal,[],[f1277])).
% 2.23/0.66 thf(f1277,plain,(
% 2.23/0.66 ($true = $false) | ((sK10 @ sK15) = $true) | (~spl1_9 | ~spl1_16 | ~spl1_67)),
% 2.23/0.66 inference(superposition,[],[f1263,f345])).
% 2.23/0.66 thf(f345,plain,(
% 2.23/0.66 ($true = (sK0 @ sK4 @ sK15)) | ~spl1_9),
% 2.23/0.66 inference(avatar_component_clause,[],[f343])).
% 2.23/0.66 thf(f343,plain,(
% 2.23/0.66 spl1_9 <=> ($true = (sK0 @ sK4 @ sK15))),
% 2.23/0.66 introduced(avatar_definition,[new_symbols(naming,[spl1_9])])).
% 2.23/0.66 thf(f1263,plain,(
% 2.23/0.66 ( ! [X0 : $i] : (($false = (sK0 @ sK4 @ X0)) | ($true = (sK10 @ X0))) ) | (~spl1_16 | ~spl1_67)),
% 2.23/0.66 inference(trivial_inequality_removal,[],[f1258])).
% 2.23/0.66 thf(f1258,plain,(
% 2.23/0.66 ( ! [X0 : $i] : (($true = (sK10 @ X0)) | ($true = $false) | ($false = (sK0 @ sK4 @ X0))) ) | (~spl1_16 | ~spl1_67)),
% 2.23/0.66 inference(superposition,[],[f377,f1245])).
% 2.23/0.66 thf(f1255,plain,(
% 2.23/0.66 spl1_67 | spl1_67 | ~spl1_1 | ~spl1_3 | ~spl1_13),
% 2.23/0.66 inference(avatar_split_clause,[],[f1237,f362,f319,f312,f1244,f1244])).
% 2.23/0.66 thf(f1237,plain,(
% 2.23/0.66 ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i] : (($true = (sK10 @ X1)) | ((sK0 @ X0 @ sK11) = $false) | ((sK0 @ X0 @ X1) = $false) | ((sK10 @ X3) = $true) | ((sK0 @ X2 @ X3) = $false) | ($false = (sK0 @ X2 @ sK11))) ) | (~spl1_1 | ~spl1_3 | ~spl1_13)),
% 2.23/0.66 inference(trivial_inequality_removal,[],[f1234])).
% 2.23/0.66 thf(f1234,plain,(
% 2.23/0.66 ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i] : (((sK10 @ X3) = $true) | ($false = (sK0 @ X2 @ sK11)) | ($true = (sK10 @ X1)) | ($true = $false) | ((sK0 @ X0 @ sK11) = $false) | ((sK0 @ X2 @ X3) = $false) | ((sK0 @ X0 @ X1) = $false)) ) | (~spl1_1 | ~spl1_3 | ~spl1_13)),
% 2.23/0.66 inference(superposition,[],[f1167,f313])).
% 2.23/0.66 thf(f1167,plain,(
% 2.23/0.66 ( ! [X2 : $i,X0 : $i > $o,X1 : $i] : (($true = (sK10 @ (sK18 @ sK11 @ X0))) | ((sK0 @ X1 @ sK11) = $false) | ((X0 @ X2) = $true) | ((sK0 @ X1 @ X2) = $false)) ) | (~spl1_3 | ~spl1_13)),
% 2.23/0.66 inference(trivial_inequality_removal,[],[f1158])).
% 2.23/0.66 thf(f1158,plain,(
% 2.23/0.66 ( ! [X2 : $i,X0 : $i > $o,X1 : $i] : (($true = $false) | ((X0 @ X2) = $true) | ($true = (sK10 @ (sK18 @ sK11 @ X0))) | ((sK0 @ X1 @ sK11) = $false) | ((sK0 @ X1 @ X2) = $false)) ) | (~spl1_3 | ~spl1_13)),
% 2.23/0.66 inference(superposition,[],[f363,f320])).
% 2.23/0.66 thf(f1014,plain,(
% 2.23/0.66 spl1_25 | ~spl1_1 | ~spl1_3 | ~spl1_17),
% 2.23/0.66 inference(avatar_split_clause,[],[f982,f381,f319,f312,f463])).
% 2.23/0.66 thf(f381,plain,(
% 2.23/0.66 spl1_17 <=> ! [X1] : (($false = (sK0 @ sK5 @ X1)) | ((sK3 @ X1) = $false))),
% 2.23/0.66 introduced(avatar_definition,[new_symbols(naming,[spl1_17])])).
% 2.23/0.66 thf(f982,plain,(
% 2.23/0.66 ( ! [X0 : $i,X1 : $i] : (((sK3 @ X1) = $false) | ((sK0 @ X0 @ sK5) = $false) | ((sK0 @ X0 @ X1) = $false)) ) | (~spl1_1 | ~spl1_3 | ~spl1_17)),
% 2.23/0.66 inference(trivial_inequality_removal,[],[f981])).
% 2.23/0.66 thf(f981,plain,(
% 2.23/0.66 ( ! [X0 : $i,X1 : $i] : (((sK3 @ X1) = $false) | ($false != $false) | (X1 != X1) | ((sK0 @ X0 @ sK5) = $false) | ((sK0 @ X0 @ X1) = $false)) ) | (~spl1_1 | ~spl1_3 | ~spl1_17)),
% 2.23/0.66 inference(duplicate_literal_removal,[],[f966])).
% 2.23/0.66 thf(f966,plain,(
% 2.23/0.66 ( ! [X0 : $i,X1 : $i] : (((sK0 @ X0 @ X1) = $false) | ((sK0 @ X0 @ sK5) = $false) | ((sK3 @ X1) = $false) | ((sK0 @ X0 @ sK5) = $false) | (X1 != X1) | ($false != $false)) ) | (~spl1_1 | ~spl1_3 | ~spl1_17)),
% 2.23/0.66 inference(equality_factoring,[],[f945])).
% 2.23/0.66 thf(f945,plain,(
% 2.23/0.66 ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i] : (($false = (sK0 @ X3 @ X0)) | ((sK0 @ X1 @ X2) = $false) | ($false = (sK0 @ X1 @ sK5)) | ($false = (sK3 @ X0)) | ((sK0 @ X3 @ sK5) = $false) | (X0 != X2)) ) | (~spl1_1 | ~spl1_3 | ~spl1_17)),
% 2.23/0.66 inference(equality_proxy_clausification,[],[f944])).
% 2.23/0.66 thf(f944,plain,(
% 2.23/0.66 ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i] : (((sK0 @ X1 @ X2) = $false) | ($false = (sK0 @ X3 @ X0)) | ((X0 = X2) = $false) | ($false = (sK3 @ X0)) | ((sK0 @ X3 @ sK5) = $false) | ($false = (sK0 @ X1 @ sK5))) ) | (~spl1_1 | ~spl1_3 | ~spl1_17)),
% 2.23/0.66 inference(not_proxy_clausification,[],[f943])).
% 2.23/0.66 thf(f943,plain,(
% 2.23/0.66 ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i] : (((sK0 @ X1 @ X2) = $false) | ($false = (sK3 @ X0)) | ($false = (sK0 @ X1 @ sK5)) | ((sK0 @ X3 @ sK5) = $false) | ($false = (sK0 @ X3 @ X0)) | ((~ (X0 = X2)) = $true)) ) | (~spl1_1 | ~spl1_3 | ~spl1_17)),
% 2.23/0.66 inference(beta_eta_normalization,[],[f932])).
% 2.23/0.66 thf(f932,plain,(
% 2.23/0.66 ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i] : (((sK0 @ X3 @ sK5) = $false) | ((sK0 @ X1 @ X2) = $false) | ($false = (sK0 @ X1 @ sK5)) | ($false = (sK0 @ X3 @ X0)) | ($true = ((^[Y0 : $i]: (~ (X0 = Y0))) @ X2)) | ($false = (sK3 @ X0))) ) | (~spl1_1 | ~spl1_3 | ~spl1_17)),
% 2.23/0.66 inference(superposition,[],[f834,f778])).
% 2.23/0.66 thf(f778,plain,(
% 2.23/0.66 ( ! [X2 : $i,X0 : $i,X1 : $i] : (((sK18 @ X0 @ (^[Y0 : $i]: (~ (X1 = Y0)))) = X1) | ($false = (sK0 @ X2 @ X1)) | ((sK0 @ X2 @ X0) = $false)) ) | ~spl1_1),
% 2.23/0.66 inference(leibniz_equality_elimination,[],[f313])).
% 2.23/0.66 thf(f834,plain,(
% 2.23/0.66 ( ! [X2 : $i,X0 : $i > $o,X1 : $i] : (((sK3 @ (sK18 @ sK5 @ X0)) = $false) | ((sK0 @ X1 @ X2) = $false) | ($false = (sK0 @ X1 @ sK5)) | ((X0 @ X2) = $true)) ) | (~spl1_3 | ~spl1_17)),
% 2.23/0.66 inference(trivial_inequality_removal,[],[f825])).
% 2.23/0.66 thf(f825,plain,(
% 2.23/0.66 ( ! [X2 : $i,X0 : $i > $o,X1 : $i] : (((sK3 @ (sK18 @ sK5 @ X0)) = $false) | ((sK0 @ X1 @ X2) = $false) | ($false = (sK0 @ X1 @ sK5)) | ($true = $false) | ((X0 @ X2) = $true)) ) | (~spl1_3 | ~spl1_17)),
% 2.23/0.66 inference(superposition,[],[f382,f320])).
% 2.23/0.66 thf(f382,plain,(
% 2.23/0.66 ( ! [X1 : $i] : (($false = (sK0 @ sK5 @ X1)) | ((sK3 @ X1) = $false)) ) | ~spl1_17),
% 2.23/0.66 inference(avatar_component_clause,[],[f381])).
% 2.23/0.66 thf(f819,plain,(
% 2.23/0.66 spl1_34 | spl1_34 | ~spl1_1 | ~spl1_3 | ~spl1_21),
% 2.23/0.66 inference(avatar_split_clause,[],[f807,f400,f319,f312,f610,f610])).
% 2.23/0.66 thf(f610,plain,(
% 2.23/0.66 spl1_34 <=> ! [X0,X1] : (((sK0 @ X1 @ sK8) = $false) | ($true = (sK6 @ X0)) | ((sK0 @ X1 @ X0) = $false))),
% 2.23/0.66 introduced(avatar_definition,[new_symbols(naming,[spl1_34])])).
% 2.23/0.66 thf(f400,plain,(
% 2.23/0.66 spl1_21 <=> ! [X2] : (($true = (sK6 @ X2)) | ($false = (sK0 @ sK8 @ X2)))),
% 2.23/0.66 introduced(avatar_definition,[new_symbols(naming,[spl1_21])])).
% 2.23/0.66 thf(f807,plain,(
% 2.23/0.66 ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i] : (((sK0 @ X3 @ X2) = $false) | ($false = (sK0 @ X0 @ sK8)) | ((sK6 @ X1) = $true) | ((sK0 @ X0 @ X1) = $false) | ($true = (sK6 @ X2)) | ((sK0 @ X3 @ sK8) = $false)) ) | (~spl1_1 | ~spl1_3 | ~spl1_21)),
% 2.23/0.66 inference(trivial_inequality_removal,[],[f805])).
% 2.23/0.66 thf(f805,plain,(
% 2.23/0.66 ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i] : (((sK0 @ X3 @ sK8) = $false) | ((sK0 @ X0 @ X1) = $false) | ($false = (sK0 @ X0 @ sK8)) | ($true = (sK6 @ X2)) | ((sK0 @ X3 @ X2) = $false) | ((sK6 @ X1) = $true) | ($true = $false)) ) | (~spl1_1 | ~spl1_3 | ~spl1_21)),
% 2.23/0.66 inference(superposition,[],[f313,f801])).
% 2.23/0.66 thf(f801,plain,(
% 2.23/0.66 ( ! [X2 : $i,X0 : $i > $o,X1 : $i] : (($true = (sK6 @ (sK18 @ sK8 @ X0))) | ((X0 @ X2) = $true) | ((sK0 @ X1 @ sK8) = $false) | ((sK0 @ X1 @ X2) = $false)) ) | (~spl1_3 | ~spl1_21)),
% 2.23/0.66 inference(trivial_inequality_removal,[],[f792])).
% 2.23/0.66 thf(f792,plain,(
% 2.23/0.66 ( ! [X2 : $i,X0 : $i > $o,X1 : $i] : (((X0 @ X2) = $true) | ($true = (sK6 @ (sK18 @ sK8 @ X0))) | ((sK0 @ X1 @ sK8) = $false) | ($true = $false) | ((sK0 @ X1 @ X2) = $false)) ) | (~spl1_3 | ~spl1_21)),
% 2.23/0.66 inference(superposition,[],[f320,f401])).
% 2.23/0.66 thf(f401,plain,(
% 2.23/0.66 ( ! [X2 : $i] : (($false = (sK0 @ sK8 @ X2)) | ($true = (sK6 @ X2))) ) | ~spl1_21),
% 2.23/0.66 inference(avatar_component_clause,[],[f400])).
% 2.23/0.66 thf(f754,plain,(
% 2.23/0.66 spl1_34 | ~spl1_2 | ~spl1_5 | ~spl1_21),
% 2.23/0.66 inference(avatar_split_clause,[],[f719,f400,f326,f315,f610])).
% 2.23/0.66 thf(f719,plain,(
% 2.23/0.66 ( ! [X0 : $i,X1 : $i] : (($false = (sK0 @ X0 @ sK8)) | ((sK0 @ X0 @ X1) = $false) | ((sK6 @ X1) = $true)) ) | (~spl1_2 | ~spl1_5 | ~spl1_21)),
% 2.23/0.66 inference(trivial_inequality_removal,[],[f718])).
% 2.23/0.66 thf(f718,plain,(
% 2.23/0.66 ( ! [X0 : $i,X1 : $i] : ((X1 != X1) | ((sK6 @ X1) = $true) | ($false != $false) | ((sK0 @ X0 @ X1) = $false) | ($false = (sK0 @ X0 @ sK8))) ) | (~spl1_2 | ~spl1_5 | ~spl1_21)),
% 2.23/0.66 inference(duplicate_literal_removal,[],[f706])).
% 2.23/0.66 thf(f706,plain,(
% 2.23/0.66 ( ! [X0 : $i,X1 : $i] : (($false = (sK0 @ X0 @ sK8)) | ($false != $false) | ($false = (sK0 @ X0 @ sK8)) | ((sK0 @ X0 @ X1) = $false) | (X1 != X1) | ((sK6 @ X1) = $true)) ) | (~spl1_2 | ~spl1_5 | ~spl1_21)),
% 2.23/0.66 inference(equality_factoring,[],[f688])).
% 2.23/0.66 thf(f688,plain,(
% 2.23/0.66 ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i] : (($false = (sK0 @ X3 @ X0)) | ((sK0 @ X1 @ X2) = $false) | ($true = (sK6 @ X0)) | ((sK0 @ X1 @ sK8) = $false) | ((sK0 @ X3 @ sK8) = $false) | (X0 != X2)) ) | (~spl1_2 | ~spl1_5 | ~spl1_21)),
% 2.23/0.66 inference(equality_proxy_clausification,[],[f686])).
% 2.23/0.66 thf(f686,plain,(
% 2.23/0.66 ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i] : (((sK0 @ X1 @ X2) = $false) | ((sK0 @ X3 @ sK8) = $false) | ($true = (sK6 @ X0)) | ((X0 = X2) = $false) | ((sK0 @ X1 @ sK8) = $false) | ($false = (sK0 @ X3 @ X0))) ) | (~spl1_2 | ~spl1_5 | ~spl1_21)),
% 2.23/0.66 inference(superposition,[],[f684,f418])).
% 2.23/0.66 thf(f418,plain,(
% 2.23/0.66 ( ! [X2 : $i,X0 : $i,X1 : $i] : (((sK16 @ (= @ X0) @ X1) = X0) | ($false = (sK0 @ X2 @ X1)) | ((sK0 @ X2 @ X0) = $false)) ) | ~spl1_2),
% 2.23/0.66 inference(leibniz_equality_elimination,[],[f316])).
% 2.23/0.66 thf(f684,plain,(
% 2.23/0.66 ( ! [X2 : $i,X0 : $i > $o,X1 : $i] : (($true = (sK6 @ (sK16 @ X0 @ sK8))) | ((sK0 @ X1 @ X2) = $false) | ((X0 @ X2) = $false) | ((sK0 @ X1 @ sK8) = $false)) ) | (~spl1_5 | ~spl1_21)),
% 2.23/0.66 inference(trivial_inequality_removal,[],[f678])).
% 2.23/0.66 thf(f678,plain,(
% 2.23/0.66 ( ! [X2 : $i,X0 : $i > $o,X1 : $i] : (($true = $false) | ($true = (sK6 @ (sK16 @ X0 @ sK8))) | ((sK0 @ X1 @ X2) = $false) | ((X0 @ X2) = $false) | ((sK0 @ X1 @ sK8) = $false)) ) | (~spl1_5 | ~spl1_21)),
% 2.23/0.66 inference(superposition,[],[f327,f401])).
% 2.23/0.66 thf(f675,plain,(
% 2.23/0.66 ~spl1_18 | ~spl1_20 | ~spl1_22 | ~spl1_34),
% 2.23/0.66 inference(avatar_contradiction_clause,[],[f674])).
% 2.23/0.66 thf(f674,plain,(
% 2.23/0.66 $false | (~spl1_18 | ~spl1_20 | ~spl1_22 | ~spl1_34)),
% 2.23/0.66 inference(trivial_inequality_removal,[],[f673])).
% 2.23/0.66 thf(f673,plain,(
% 2.23/0.66 ($true = $false) | (~spl1_18 | ~spl1_20 | ~spl1_22 | ~spl1_34)),
% 2.23/0.66 inference(forward_demodulation,[],[f662,f386])).
% 2.23/0.66 thf(f662,plain,(
% 2.23/0.66 ((sK6 @ sK9) = $true) | (~spl1_20 | ~spl1_22 | ~spl1_34)),
% 2.23/0.66 inference(trivial_inequality_removal,[],[f653])).
% 2.23/0.66 thf(f653,plain,(
% 2.23/0.66 ((sK6 @ sK9) = $true) | ($true = $false) | (~spl1_20 | ~spl1_22 | ~spl1_34)),
% 2.23/0.66 inference(superposition,[],[f634,f396])).
% 2.23/0.66 thf(f634,plain,(
% 2.23/0.66 ( ! [X0 : $i] : (($false = (sK0 @ sK4 @ X0)) | ($true = (sK6 @ X0))) ) | (~spl1_22 | ~spl1_34)),
% 2.23/0.66 inference(trivial_inequality_removal,[],[f628])).
% 2.23/0.66 thf(f628,plain,(
% 2.23/0.66 ( ! [X0 : $i] : (($true = (sK6 @ X0)) | ($false = (sK0 @ sK4 @ X0)) | ($true = $false)) ) | (~spl1_22 | ~spl1_34)),
% 2.23/0.66 inference(superposition,[],[f611,f406])).
% 2.23/0.66 thf(f406,plain,(
% 2.23/0.66 ((sK0 @ sK4 @ sK8) = $true) | ~spl1_22),
% 2.23/0.66 inference(avatar_component_clause,[],[f404])).
% 2.23/0.66 thf(f404,plain,(
% 2.23/0.66 spl1_22 <=> ((sK0 @ sK4 @ sK8) = $true)),
% 2.23/0.66 introduced(avatar_definition,[new_symbols(naming,[spl1_22])])).
% 2.23/0.66 thf(f611,plain,(
% 2.23/0.66 ( ! [X0 : $i,X1 : $i] : (((sK0 @ X1 @ sK8) = $false) | ($true = (sK6 @ X0)) | ((sK0 @ X1 @ X0) = $false)) ) | ~spl1_34),
% 2.23/0.66 inference(avatar_component_clause,[],[f610])).
% 2.23/0.66 thf(f613,plain,(
% 2.23/0.66 spl1_34 | spl1_34 | ~spl1_4 | ~spl1_6 | ~spl1_21),
% 2.23/0.66 inference(avatar_split_clause,[],[f604,f400,f330,f323,f610,f610])).
% 2.23/0.66 thf(f604,plain,(
% 2.23/0.66 ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i] : (($true = (sK6 @ X2)) | ((sK0 @ X1 @ sK8) = $false) | ((sK0 @ X3 @ X2) = $false) | ($true = (sK6 @ X0)) | ((sK0 @ X3 @ sK8) = $false) | ((sK0 @ X1 @ X0) = $false)) ) | (~spl1_4 | ~spl1_6 | ~spl1_21)),
% 2.23/0.66 inference(trivial_inequality_removal,[],[f601])).
% 2.23/0.66 thf(f601,plain,(
% 2.23/0.66 ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i] : (($true = (sK6 @ X0)) | ($true = $false) | ($true = (sK6 @ X2)) | ((sK0 @ X3 @ X2) = $false) | ((sK0 @ X3 @ sK8) = $false) | ((sK0 @ X1 @ sK8) = $false) | ((sK0 @ X1 @ X0) = $false)) ) | (~spl1_4 | ~spl1_6 | ~spl1_21)),
% 2.23/0.66 inference(superposition,[],[f324,f595])).
% 2.23/0.66 thf(f595,plain,(
% 2.23/0.66 ( ! [X2 : $i,X0 : $i > $o,X1 : $i] : (($true = (sK6 @ (sK17 @ sK8 @ X0))) | ((X0 @ X2) = $true) | ((sK0 @ X1 @ sK8) = $false) | ((sK0 @ X1 @ X2) = $false)) ) | (~spl1_6 | ~spl1_21)),
% 2.23/0.66 inference(trivial_inequality_removal,[],[f591])).
% 2.23/0.66 thf(f591,plain,(
% 2.23/0.66 ( ! [X2 : $i,X0 : $i > $o,X1 : $i] : (((sK0 @ X1 @ sK8) = $false) | ($true = $false) | ($true = (sK6 @ (sK17 @ sK8 @ X0))) | ((sK0 @ X1 @ X2) = $false) | ((X0 @ X2) = $true)) ) | (~spl1_6 | ~spl1_21)),
% 2.23/0.66 inference(superposition,[],[f331,f401])).
% 2.23/0.66 thf(f572,plain,(
% 2.23/0.66 spl1_25 | ~spl1_4 | ~spl1_6 | ~spl1_17),
% 2.23/0.66 inference(avatar_split_clause,[],[f539,f381,f330,f323,f463])).
% 2.23/0.66 thf(f539,plain,(
% 2.23/0.66 ( ! [X0 : $i,X1 : $i] : (((sK0 @ X0 @ sK5) = $false) | ((sK0 @ X0 @ X1) = $false) | ((sK3 @ X1) = $false)) ) | (~spl1_4 | ~spl1_6 | ~spl1_17)),
% 2.23/0.66 inference(trivial_inequality_removal,[],[f538])).
% 2.23/0.66 thf(f538,plain,(
% 2.23/0.66 ( ! [X0 : $i,X1 : $i] : (((sK0 @ X0 @ sK5) = $false) | ((sK3 @ X1) = $false) | ((sK0 @ X0 @ X1) = $false) | ($false != $false) | (X1 != X1)) ) | (~spl1_4 | ~spl1_6 | ~spl1_17)),
% 2.23/0.66 inference(duplicate_literal_removal,[],[f527])).
% 2.23/0.66 thf(f527,plain,(
% 2.23/0.66 ( ! [X0 : $i,X1 : $i] : (((sK0 @ X0 @ sK5) = $false) | ((sK0 @ X0 @ X1) = $false) | ((sK3 @ X1) = $false) | ($false != $false) | (X1 != X1) | ((sK0 @ X0 @ sK5) = $false)) ) | (~spl1_4 | ~spl1_6 | ~spl1_17)),
% 2.23/0.66 inference(equality_factoring,[],[f509])).
% 2.23/0.66 thf(f509,plain,(
% 2.23/0.66 ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i] : (($false = (sK0 @ X3 @ X0)) | ((sK0 @ X1 @ X2) = $false) | ($false = (sK0 @ X1 @ sK5)) | ($false = (sK3 @ X0)) | ((sK0 @ X3 @ sK5) = $false) | (X0 != X2)) ) | (~spl1_4 | ~spl1_6 | ~spl1_17)),
% 2.23/0.66 inference(equality_proxy_clausification,[],[f508])).
% 2.23/0.66 thf(f508,plain,(
% 2.23/0.66 ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i] : (($false = (sK3 @ X0)) | ((sK0 @ X3 @ sK5) = $false) | ($false = (sK0 @ X3 @ X0)) | ((sK0 @ X1 @ X2) = $false) | ($false = (sK0 @ X1 @ sK5)) | ((X0 = X2) = $false)) ) | (~spl1_4 | ~spl1_6 | ~spl1_17)),
% 2.23/0.66 inference(not_proxy_clausification,[],[f507])).
% 2.23/0.66 thf(f507,plain,(
% 2.23/0.66 ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i] : (((sK0 @ X3 @ sK5) = $false) | ($false = (sK0 @ X3 @ X0)) | ((~ (X0 = X2)) = $true) | ((sK0 @ X1 @ X2) = $false) | ($false = (sK0 @ X1 @ sK5)) | ($false = (sK3 @ X0))) ) | (~spl1_4 | ~spl1_6 | ~spl1_17)),
% 2.23/0.66 inference(beta_eta_normalization,[],[f506])).
% 2.23/0.66 thf(f506,plain,(
% 2.23/0.66 ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i] : (((sK0 @ X1 @ X2) = $false) | ((sK0 @ X3 @ sK5) = $false) | ($true = ((^[Y0 : $i]: (~ (X0 = Y0))) @ X2)) | ($false = (sK0 @ X3 @ X0)) | ($false = (sK3 @ X0)) | ($false = (sK0 @ X1 @ sK5))) ) | (~spl1_4 | ~spl1_6 | ~spl1_17)),
% 2.23/0.66 inference(superposition,[],[f500,f476])).
% 2.23/0.66 thf(f476,plain,(
% 2.23/0.66 ( ! [X2 : $i,X0 : $i,X1 : $i] : (((sK17 @ X0 @ (^[Y0 : $i]: (~ (X1 = Y0)))) = X1) | ((sK0 @ X2 @ X0) = $false) | ($false = (sK0 @ X2 @ X1))) ) | ~spl1_4),
% 2.23/0.66 inference(leibniz_equality_elimination,[],[f324])).
% 2.23/0.66 thf(f500,plain,(
% 2.23/0.66 ( ! [X2 : $i,X0 : $i > $o,X1 : $i] : (((sK3 @ (sK17 @ sK5 @ X0)) = $false) | ($false = (sK0 @ X1 @ sK5)) | ((sK0 @ X1 @ X2) = $false) | ((X0 @ X2) = $true)) ) | (~spl1_6 | ~spl1_17)),
% 2.23/0.66 inference(trivial_inequality_removal,[],[f490])).
% 2.23/0.66 thf(f490,plain,(
% 2.23/0.66 ( ! [X2 : $i,X0 : $i > $o,X1 : $i] : (($false = (sK0 @ X1 @ sK5)) | ($true = $false) | ((sK3 @ (sK17 @ sK5 @ X0)) = $false) | ((X0 @ X2) = $true) | ((sK0 @ X1 @ X2) = $false)) ) | (~spl1_6 | ~spl1_17)),
% 2.23/0.66 inference(superposition,[],[f331,f382])).
% 2.23/0.66 thf(f474,plain,(
% 2.23/0.66 spl1_25 | spl1_25 | ~spl1_2 | ~spl1_5 | ~spl1_17),
% 2.23/0.66 inference(avatar_split_clause,[],[f457,f381,f326,f315,f463,f463])).
% 2.23/0.66 thf(f457,plain,(
% 2.23/0.66 ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i] : (((sK3 @ X2) = $false) | ((sK0 @ X3 @ sK5) = $false) | ($false = (sK0 @ X1 @ sK5)) | ($false = (sK3 @ X0)) | ((sK0 @ X1 @ X0) = $false) | ((sK0 @ X3 @ X2) = $false)) ) | (~spl1_2 | ~spl1_5 | ~spl1_17)),
% 2.23/0.66 inference(trivial_inequality_removal,[],[f454])).
% 2.23/0.66 thf(f454,plain,(
% 2.23/0.66 ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i] : (($true = $false) | ((sK3 @ X2) = $false) | ($false = (sK0 @ X1 @ sK5)) | ((sK0 @ X1 @ X0) = $false) | ($false = (sK3 @ X0)) | ((sK0 @ X3 @ X2) = $false) | ((sK0 @ X3 @ sK5) = $false)) ) | (~spl1_2 | ~spl1_5 | ~spl1_17)),
% 2.23/0.66 inference(superposition,[],[f451,f316])).
% 2.23/0.66 thf(f451,plain,(
% 2.23/0.66 ( ! [X2 : $i,X0 : $i > $o,X1 : $i] : (((sK3 @ (sK16 @ X0 @ sK5)) = $false) | ((X0 @ X2) = $false) | ((sK0 @ X1 @ X2) = $false) | ($false = (sK0 @ X1 @ sK5))) ) | (~spl1_5 | ~spl1_17)),
% 2.23/0.66 inference(trivial_inequality_removal,[],[f445])).
% 2.23/0.66 thf(f445,plain,(
% 2.23/0.66 ( ! [X2 : $i,X0 : $i > $o,X1 : $i] : (((sK0 @ X1 @ X2) = $false) | ((X0 @ X2) = $false) | ($true = $false) | ((sK3 @ (sK16 @ X0 @ sK5)) = $false) | ($false = (sK0 @ X1 @ sK5))) ) | (~spl1_5 | ~spl1_17)),
% 2.23/0.66 inference(superposition,[],[f327,f382])).
% 2.23/0.66 thf(f416,plain,(
% 2.23/0.66 spl1_24 | spl1_19),
% 2.23/0.66 inference(avatar_split_clause,[],[f166,f389,f413])).
% 2.23/0.66 thf(f166,plain,(
% 2.23/0.66 ($true = (sK0 @ sK2 @ sK5)) | ($true = (sK0 @ sK4 @ sK7))),
% 2.23/0.66 inference(not_proxy_clausification,[],[f165])).
% 2.23/0.66 thf(f165,plain,(
% 2.23/0.66 ($true = (sK0 @ sK2 @ sK5)) | ((~ (sK0 @ sK4 @ sK7)) = $false)),
% 2.23/0.66 inference(binary_proxy_clausification,[],[f163])).
% 2.23/0.66 thf(f163,plain,(
% 2.23/0.66 (((~ (sK0 @ sK4 @ sK7)) | (~ (!! @ $i @ (^[Y0 : $i]: ((~ (sK0 @ sK7 @ Y0)) | (sK6 @ Y0)))))) = $false) | ($true = (sK0 @ sK2 @ sK5))),
% 2.23/0.66 inference(beta_eta_normalization,[],[f162])).
% 2.23/0.66 thf(f162,plain,(
% 2.23/0.66 (((^[Y0 : $i]: ((~ (sK0 @ sK4 @ Y0)) | (~ (!! @ $i @ (^[Y1 : $i]: ((~ (sK0 @ Y0 @ Y1)) | (sK6 @ Y1))))))) @ sK7) = $false) | ($true = (sK0 @ sK2 @ sK5))),
% 2.23/0.66 inference(sigma_clausification,[],[f161])).
% 2.23/0.66 thf(f161,plain,(
% 2.23/0.66 ($true = (sK0 @ sK2 @ sK5)) | ((!! @ $i @ (^[Y0 : $i]: ((~ (sK0 @ sK4 @ Y0)) | (~ (!! @ $i @ (^[Y1 : $i]: ((~ (sK0 @ Y0 @ Y1)) | (sK6 @ Y1)))))))) = $false)),
% 2.23/0.66 inference(not_proxy_clausification,[],[f160])).
% 2.23/0.66 thf(f160,plain,(
% 2.23/0.66 ((~ (sK0 @ sK2 @ sK5)) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((~ (sK0 @ sK4 @ Y0)) | (~ (!! @ $i @ (^[Y1 : $i]: ((~ (sK0 @ Y0 @ Y1)) | (sK6 @ Y1)))))))) = $false)),
% 2.23/0.66 inference(binary_proxy_clausification,[],[f158])).
% 2.23/0.66 thf(f158,plain,(
% 2.23/0.66 (((~ (sK0 @ sK2 @ sK5)) | (~ (!! @ $i @ (^[Y0 : $i]: ((~ (sK0 @ sK5 @ Y0)) | (~ (sK3 @ Y0))))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((~ (sK0 @ sK4 @ Y0)) | (~ (!! @ $i @ (^[Y1 : $i]: ((~ (sK0 @ Y0 @ Y1)) | (sK6 @ Y1)))))))) = $false)),
% 2.23/0.66 inference(binary_proxy_clausification,[],[f156])).
% 2.23/0.66 thf(f156,plain,(
% 2.23/0.66 (((!! @ $i @ (^[Y0 : $i]: ((~ (sK0 @ sK4 @ Y0)) | (~ (!! @ $i @ (^[Y1 : $i]: ((~ (sK0 @ Y0 @ Y1)) | (sK6 @ Y1)))))))) | (!! @ $i @ (^[Y0 : $i]: ((~ (sK0 @ sK4 @ Y0)) | (sK6 @ Y0))))) = $false) | (((~ (sK0 @ sK2 @ sK5)) | (~ (!! @ $i @ (^[Y0 : $i]: ((~ (sK0 @ sK5 @ Y0)) | (~ (sK3 @ Y0))))))) = $false)),
% 2.23/0.66 inference(beta_eta_normalization,[],[f155])).
% 2.23/0.66 thf(f155,plain,(
% 2.23/0.66 (((~ (sK0 @ sK2 @ sK5)) | (~ (!! @ $i @ (^[Y0 : $i]: ((~ (sK0 @ sK5 @ Y0)) | (~ (sK3 @ Y0))))))) = $false) | (((^[Y0 : $i > $o]: ((!! @ $i @ (^[Y1 : $i]: ((~ (sK0 @ sK4 @ Y1)) | (~ (!! @ $i @ (^[Y2 : $i]: ((~ (sK0 @ Y1 @ Y2)) | (Y0 @ Y2)))))))) | (!! @ $i @ (^[Y1 : $i]: ((~ (sK0 @ sK4 @ Y1)) | (Y0 @ Y1)))))) @ sK6) = $false)),
% 2.23/0.66 inference(sigma_clausification,[],[f154])).
% 2.23/0.66 thf(f154,plain,(
% 2.23/0.66 ((!! @ ($i > $o) @ (^[Y0 : $i > $o]: ((!! @ $i @ (^[Y1 : $i]: ((~ (sK0 @ sK4 @ Y1)) | (~ (!! @ $i @ (^[Y2 : $i]: ((~ (sK0 @ Y1 @ Y2)) | (Y0 @ Y2)))))))) | (!! @ $i @ (^[Y1 : $i]: ((~ (sK0 @ sK4 @ Y1)) | (Y0 @ Y1))))))) = $false) | (((~ (sK0 @ sK2 @ sK5)) | (~ (!! @ $i @ (^[Y0 : $i]: ((~ (sK0 @ sK5 @ Y0)) | (~ (sK3 @ Y0))))))) = $false)),
% 2.23/0.66 inference(beta_eta_normalization,[],[f153])).
% 2.23/0.66 thf(f153,plain,(
% 2.23/0.66 ((!! @ ($i > $o) @ (^[Y0 : $i > $o]: ((!! @ $i @ (^[Y1 : $i]: ((~ (sK0 @ sK4 @ Y1)) | (~ (!! @ $i @ (^[Y2 : $i]: ((~ (sK0 @ Y1 @ Y2)) | (Y0 @ Y2)))))))) | (!! @ $i @ (^[Y1 : $i]: ((~ (sK0 @ sK4 @ Y1)) | (Y0 @ Y1))))))) = $false) | ($false = ((^[Y0 : $i]: ((~ (sK0 @ sK2 @ Y0)) | (~ (!! @ $i @ (^[Y1 : $i]: ((~ (sK0 @ Y0 @ Y1)) | (~ (sK3 @ Y1)))))))) @ sK5))),
% 2.23/0.66 inference(sigma_clausification,[],[f152])).
% 2.23/0.66 thf(f152,plain,(
% 2.23/0.66 ((!! @ $i @ (^[Y0 : $i]: ((~ (sK0 @ sK2 @ Y0)) | (~ (!! @ $i @ (^[Y1 : $i]: ((~ (sK0 @ Y0 @ Y1)) | (~ (sK3 @ Y1))))))))) = $false) | ((!! @ ($i > $o) @ (^[Y0 : $i > $o]: ((!! @ $i @ (^[Y1 : $i]: ((~ (sK0 @ sK4 @ Y1)) | (~ (!! @ $i @ (^[Y2 : $i]: ((~ (sK0 @ Y1 @ Y2)) | (Y0 @ Y2)))))))) | (!! @ $i @ (^[Y1 : $i]: ((~ (sK0 @ sK4 @ Y1)) | (Y0 @ Y1))))))) = $false)),
% 2.23/0.66 inference(binary_proxy_clausification,[],[f150])).
% 2.23/0.66 thf(f150,plain,(
% 2.23/0.66 (((!! @ $i @ (^[Y0 : $i]: ((~ (sK0 @ sK2 @ Y0)) | (~ (!! @ $i @ (^[Y1 : $i]: ((~ (sK0 @ Y0 @ Y1)) | (~ (sK3 @ Y1))))))))) | (!! @ $i @ (^[Y0 : $i]: ((~ (sK0 @ sK2 @ Y0)) | (~ (sK3 @ Y0)))))) = $false) | ((!! @ ($i > $o) @ (^[Y0 : $i > $o]: ((!! @ $i @ (^[Y1 : $i]: ((~ (sK0 @ sK4 @ Y1)) | (~ (!! @ $i @ (^[Y2 : $i]: ((~ (sK0 @ Y1 @ Y2)) | (Y0 @ Y2)))))))) | (!! @ $i @ (^[Y1 : $i]: ((~ (sK0 @ sK4 @ Y1)) | (Y0 @ Y1))))))) = $false)),
% 2.23/0.66 inference(beta_eta_normalization,[],[f149])).
% 2.23/0.66 thf(f149,plain,(
% 2.23/0.66 (((^[Y0 : $i]: (!! @ ($i > $o) @ (^[Y1 : $i > $o]: ((!! @ $i @ (^[Y2 : $i]: ((~ (sK0 @ Y0 @ Y2)) | (~ (!! @ $i @ (^[Y3 : $i]: ((~ (sK0 @ Y2 @ Y3)) | (Y1 @ Y3)))))))) | (!! @ $i @ (^[Y2 : $i]: ((~ (sK0 @ Y0 @ Y2)) | (Y1 @ Y2)))))))) @ sK4) = $false) | (((!! @ $i @ (^[Y0 : $i]: ((~ (sK0 @ sK2 @ Y0)) | (~ (!! @ $i @ (^[Y1 : $i]: ((~ (sK0 @ Y0 @ Y1)) | (~ (sK3 @ Y1))))))))) | (!! @ $i @ (^[Y0 : $i]: ((~ (sK0 @ sK2 @ Y0)) | (~ (sK3 @ Y0)))))) = $false)),
% 2.23/0.66 inference(sigma_clausification,[],[f148])).
% 2.23/0.66 thf(f148,plain,(
% 2.23/0.66 ((!! @ $i @ (^[Y0 : $i]: (!! @ ($i > $o) @ (^[Y1 : $i > $o]: ((!! @ $i @ (^[Y2 : $i]: ((~ (sK0 @ Y0 @ Y2)) | (~ (!! @ $i @ (^[Y3 : $i]: ((~ (sK0 @ Y2 @ Y3)) | (Y1 @ Y3)))))))) | (!! @ $i @ (^[Y2 : $i]: ((~ (sK0 @ Y0 @ Y2)) | (Y1 @ Y2))))))))) = $false) | (((!! @ $i @ (^[Y0 : $i]: ((~ (sK0 @ sK2 @ Y0)) | (~ (!! @ $i @ (^[Y1 : $i]: ((~ (sK0 @ Y0 @ Y1)) | (~ (sK3 @ Y1))))))))) | (!! @ $i @ (^[Y0 : $i]: ((~ (sK0 @ sK2 @ Y0)) | (~ (sK3 @ Y0)))))) = $false)),
% 2.23/0.66 inference(beta_eta_normalization,[],[f147])).
% 2.23/0.66 thf(f147,plain,(
% 2.23/0.66 ($false = ((^[Y0 : $i > $o]: ((!! @ $i @ (^[Y1 : $i]: ((~ (sK0 @ sK2 @ Y1)) | (~ (!! @ $i @ (^[Y2 : $i]: ((~ (sK0 @ Y1 @ Y2)) | (~ (Y0 @ Y2))))))))) | (!! @ $i @ (^[Y1 : $i]: ((~ (sK0 @ sK2 @ Y1)) | (~ (Y0 @ Y1))))))) @ sK3)) | ((!! @ $i @ (^[Y0 : $i]: (!! @ ($i > $o) @ (^[Y1 : $i > $o]: ((!! @ $i @ (^[Y2 : $i]: ((~ (sK0 @ Y0 @ Y2)) | (~ (!! @ $i @ (^[Y3 : $i]: ((~ (sK0 @ Y2 @ Y3)) | (Y1 @ Y3)))))))) | (!! @ $i @ (^[Y2 : $i]: ((~ (sK0 @ Y0 @ Y2)) | (Y1 @ Y2))))))))) = $false)),
% 2.23/0.66 inference(sigma_clausification,[],[f146])).
% 2.23/0.66 thf(f146,plain,(
% 2.23/0.66 ((!! @ ($i > $o) @ (^[Y0 : $i > $o]: ((!! @ $i @ (^[Y1 : $i]: ((~ (sK0 @ sK2 @ Y1)) | (~ (!! @ $i @ (^[Y2 : $i]: ((~ (sK0 @ Y1 @ Y2)) | (~ (Y0 @ Y2))))))))) | (!! @ $i @ (^[Y1 : $i]: ((~ (sK0 @ sK2 @ Y1)) | (~ (Y0 @ Y1)))))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: (!! @ ($i > $o) @ (^[Y1 : $i > $o]: ((!! @ $i @ (^[Y2 : $i]: ((~ (sK0 @ Y0 @ Y2)) | (~ (!! @ $i @ (^[Y3 : $i]: ((~ (sK0 @ Y2 @ Y3)) | (Y1 @ Y3)))))))) | (!! @ $i @ (^[Y2 : $i]: ((~ (sK0 @ Y0 @ Y2)) | (Y1 @ Y2))))))))) = $false)),
% 2.23/0.66 inference(beta_eta_normalization,[],[f145])).
% 2.23/0.66 thf(f145,plain,(
% 2.23/0.66 ((!! @ $i @ (^[Y0 : $i]: (!! @ ($i > $o) @ (^[Y1 : $i > $o]: ((!! @ $i @ (^[Y2 : $i]: ((~ (sK0 @ Y0 @ Y2)) | (~ (!! @ $i @ (^[Y3 : $i]: ((~ (sK0 @ Y2 @ Y3)) | (Y1 @ Y3)))))))) | (!! @ $i @ (^[Y2 : $i]: ((~ (sK0 @ Y0 @ Y2)) | (Y1 @ Y2))))))))) = $false) | (((^[Y0 : $i]: (!! @ ($i > $o) @ (^[Y1 : $i > $o]: ((!! @ $i @ (^[Y2 : $i]: ((~ (sK0 @ Y0 @ Y2)) | (~ (!! @ $i @ (^[Y3 : $i]: ((~ (sK0 @ Y2 @ Y3)) | (~ (Y1 @ Y3))))))))) | (!! @ $i @ (^[Y2 : $i]: ((~ (sK0 @ Y0 @ Y2)) | (~ (Y1 @ Y2))))))))) @ sK2) = $false)),
% 2.23/0.66 inference(sigma_clausification,[],[f144])).
% 2.23/0.66 thf(f144,plain,(
% 2.23/0.66 ($false = (!! @ $i @ (^[Y0 : $i]: (!! @ ($i > $o) @ (^[Y1 : $i > $o]: ((!! @ $i @ (^[Y2 : $i]: ((~ (sK0 @ Y0 @ Y2)) | (~ (!! @ $i @ (^[Y3 : $i]: ((~ (sK0 @ Y2 @ Y3)) | (~ (Y1 @ Y3))))))))) | (!! @ $i @ (^[Y2 : $i]: ((~ (sK0 @ Y0 @ Y2)) | (~ (Y1 @ Y2))))))))))) | ((!! @ $i @ (^[Y0 : $i]: (!! @ ($i > $o) @ (^[Y1 : $i > $o]: ((!! @ $i @ (^[Y2 : $i]: ((~ (sK0 @ Y0 @ Y2)) | (~ (!! @ $i @ (^[Y3 : $i]: ((~ (sK0 @ Y2 @ Y3)) | (Y1 @ Y3)))))))) | (!! @ $i @ (^[Y2 : $i]: ((~ (sK0 @ Y0 @ Y2)) | (Y1 @ Y2))))))))) = $false)),
% 2.23/0.66 inference(binary_proxy_clausification,[],[f142])).
% 2.23/0.66 thf(f142,plain,(
% 2.23/0.66 ((!! @ $i @ (^[Y0 : $i]: (!! @ ($i > $o) @ (^[Y1 : $i > $o]: ((!! @ $i @ (^[Y2 : $i]: ((~ (sK0 @ Y0 @ Y2)) | (~ (!! @ $i @ (^[Y3 : $i]: ((~ (sK0 @ Y2 @ Y3)) | (Y1 @ Y3)))))))) | (!! @ $i @ (^[Y2 : $i]: ((~ (sK0 @ Y0 @ Y2)) | (Y1 @ Y2))))))))) != (!! @ $i @ (^[Y0 : $i]: (!! @ ($i > $o) @ (^[Y1 : $i > $o]: ((!! @ $i @ (^[Y2 : $i]: ((~ (sK0 @ Y0 @ Y2)) | (~ (!! @ $i @ (^[Y3 : $i]: ((~ (sK0 @ Y2 @ Y3)) | (~ (Y1 @ Y3))))))))) | (!! @ $i @ (^[Y2 : $i]: ((~ (sK0 @ Y0 @ Y2)) | (~ (Y1 @ Y2)))))))))))),
% 2.23/0.66 inference(boolean_simplification,[],[f141])).
% 2.23/0.66 thf(f141,plain,(
% 2.23/0.66 ((!! @ $i @ (^[Y0 : $i]: (!! @ ($i > $o) @ (^[Y1 : $i > $o]: ((!! @ $i @ (^[Y2 : $i]: ((~ (sK0 @ Y0 @ Y2)) | (~ (!! @ $i @ (^[Y3 : $i]: ((~ (sK0 @ Y2 @ Y3)) | (Y1 @ Y3)))))))) | (!! @ $i @ (^[Y2 : $i]: ((~ (sK0 @ Y0 @ Y2)) | (Y1 @ Y2))))))))) != (!! @ $i @ (^[Y0 : $i]: (!! @ ($i > $o) @ (^[Y1 : $i > $o]: ((!! @ $i @ (^[Y2 : $i]: ((~ (sK0 @ Y0 @ Y2)) | (~ (!! @ $i @ (^[Y3 : $i]: ((~ (sK0 @ Y2 @ Y3)) | (~ (Y1 @ Y3))))))))) | (~ (~ (!! @ $i @ (^[Y2 : $i]: ((~ (sK0 @ Y0 @ Y2)) | (~ (Y1 @ Y2)))))))))))))),
% 2.23/0.66 inference(boolean_simplification,[],[f140])).
% 2.23/0.66 thf(f140,plain,(
% 2.23/0.66 ((!! @ $i @ (^[Y0 : $i]: (!! @ ($i > $o) @ (^[Y1 : $i > $o]: ((!! @ $i @ (^[Y2 : $i]: ((~ (sK0 @ Y0 @ Y2)) | (~ (!! @ $i @ (^[Y3 : $i]: ((~ (sK0 @ Y2 @ Y3)) | (~ (Y1 @ Y3))))))))) | (~ (~ (!! @ $i @ (^[Y2 : $i]: ((~ (sK0 @ Y0 @ Y2)) | (~ (Y1 @ Y2)))))))))))) != (!! @ $i @ (^[Y0 : $i]: (!! @ ($i > $o) @ (^[Y1 : $i > $o]: ((!! @ $i @ (^[Y2 : $i]: ((~ (sK0 @ Y0 @ Y2)) | (~ (!! @ $i @ (^[Y3 : $i]: ((~ (sK0 @ Y2 @ Y3)) | (Y1 @ Y3)))))))) | (~ (~ (!! @ $i @ (^[Y2 : $i]: ((~ (sK0 @ Y0 @ Y2)) | (Y1 @ Y2))))))))))))),
% 2.23/0.66 inference(beta_eta_normalization,[],[f139])).
% 2.23/0.66 thf(f139,plain,(
% 2.23/0.66 (((^[Y0 : $i > $o]: (!! @ $i @ (^[Y1 : $i]: (Y0 @ Y1)))) @ ((^[Y0 : ($i > $o) > $i > $o]: ((^[Y1 : $i]: (!! @ ($i > $o) @ (^[Y2 : $i > $o]: (Y0 @ Y2 @ Y1)))))) @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i > $o]: ((^[Y3 : $i > $o]: ((^[Y4 : $i > $o]: ((^[Y5 : $i]: ((Y4 @ Y5) | (Y3 @ Y5))))))) @ ((^[Y3 : $i > $o]: ((^[Y4 : $i]: (~ (Y3 @ Y4))))) @ Y1) @ Y2)))) @ ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (~ (Y1 @ Y2))))) @ ((^[Y1 : $i > $i > $o]: ((^[Y2 : $i > $o]: ((^[Y3 : $i]: (!! @ $i @ (^[Y4 : $i]: ((~ (Y1 @ Y3 @ Y4)) | (Y2 @ Y4))))))))) @ sK0 @ Y0)) @ ((^[Y1 : $i > $i > $o]: ((^[Y2 : $i > $o]: ((^[Y3 : $i]: (!! @ $i @ (^[Y4 : $i]: ((~ (Y1 @ Y3 @ Y4)) | (Y2 @ Y4))))))))) @ sK0 @ ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (~ (Y1 @ Y2))))) @ ((^[Y1 : $i > $i > $o]: ((^[Y2 : $i > $o]: ((^[Y3 : $i]: (!! @ $i @ (^[Y4 : $i]: ((~ (Y1 @ Y3 @ Y4)) | (Y2 @ Y4))))))))) @ sK0 @ Y0))))))) != ((^[Y0 : $i > $o]: (!! @ $i @ (^[Y1 : $i]: (Y0 @ Y1)))) @ ((^[Y0 : ($i > $o) > $i > $o]: ((^[Y1 : $i]: (!! @ ($i > $o) @ (^[Y2 : $i > $o]: (Y0 @ Y2 @ Y1)))))) @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i > $o]: ((^[Y3 : $i > $o]: ((^[Y4 : $i > $o]: ((^[Y5 : $i]: ((Y4 @ Y5) | (Y3 @ Y5))))))) @ ((^[Y3 : $i > $o]: ((^[Y4 : $i]: (~ (Y3 @ Y4))))) @ Y1) @ Y2)))) @ ((^[Y1 : $i > $i > $o]: ((^[Y2 : $i > $o]: ((^[Y3 : $i > $o]: ((^[Y4 : $i]: (~ (Y3 @ Y4))))) @ ((^[Y3 : $i > $i > $o]: ((^[Y4 : $i > $o]: ((^[Y5 : $i]: (!! @ $i @ (^[Y6 : $i]: ((~ (Y3 @ Y5 @ Y6)) | (Y4 @ Y6))))))))) @ Y1 @ ((^[Y3 : $i > $o]: ((^[Y4 : $i]: (~ (Y3 @ Y4))))) @ Y2)))))) @ sK0 @ Y0) @ ((^[Y1 : $i > $i > $o]: ((^[Y2 : $i > $o]: ((^[Y3 : $i]: (!! @ $i @ (^[Y4 : $i]: ((~ (Y1 @ Y3 @ Y4)) | (Y2 @ Y4))))))))) @ sK0 @ ((^[Y1 : $i > $i > $o]: ((^[Y2 : $i > $o]: ((^[Y3 : $i > $o]: ((^[Y4 : $i]: (~ (Y3 @ Y4))))) @ ((^[Y3 : $i > $i > $o]: ((^[Y4 : $i > $o]: ((^[Y5 : $i]: (!! @ $i @ (^[Y6 : $i]: ((~ (Y3 @ Y5 @ Y6)) | (Y4 @ Y6))))))))) @ Y1 @ ((^[Y3 : $i > $o]: ((^[Y4 : $i]: (~ (Y3 @ Y4))))) @ Y2)))))) @ sK0 @ Y0)))))))),
% 2.23/0.66 inference(definition_unfolding,[],[f108,f105,f129,f131,f138,f123,f138,f105,f129,f131,f103,f123,f123,f103,f123])).
% 2.23/0.66 thf(f103,plain,(
% 2.23/0.66 (mnot = (^[Y0 : $i > $o]: ((^[Y1 : $i]: (~ (Y0 @ Y1))))))),
% 2.23/0.66 inference(cnf_transformation,[],[f84])).
% 2.23/0.66 thf(f84,plain,(
% 2.23/0.66 (mnot = (^[Y0 : $i > $o]: ((^[Y1 : $i]: (~ (Y0 @ Y1))))))),
% 2.23/0.66 inference(fool_elimination,[],[f83])).
% 2.23/0.66 thf(f83,plain,(
% 2.23/0.66 (mnot = (^[X0 : $i > $o, X1 : $i] : (~(X0 @ X1))))),
% 2.23/0.66 inference(rectify,[],[f3])).
% 2.23/0.66 thf(f3,axiom,(
% 2.23/0.66 (mnot = (^[X3 : $i > $o, X2 : $i] : (~(X3 @ X2))))),
% 2.23/0.66 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mnot)).
% 2.23/0.66 thf(f123,plain,(
% 2.23/0.66 (mbox = (^[Y0 : $i > $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: ((~ (Y0 @ Y2 @ Y3)) | (Y1 @ Y3))))))))))),
% 2.23/0.66 inference(cnf_transformation,[],[f45])).
% 2.23/0.66 thf(f45,plain,(
% 2.23/0.66 (mbox = (^[Y0 : $i > $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: ((~ (Y0 @ Y2 @ Y3)) | (Y1 @ Y3))))))))))),
% 2.23/0.66 inference(fool_elimination,[],[f44])).
% 2.23/0.66 thf(f44,plain,(
% 2.23/0.66 (mbox = (^[X0 : $i > $i > $o, X1 : $i > $o, X2 : $i] : (! [X3] : ((X1 @ X3) | ~(X0 @ X2 @ X3)))))),
% 2.23/0.66 inference(rectify,[],[f16])).
% 2.23/0.66 thf(f16,axiom,(
% 2.23/0.66 (mbox = (^[X6 : $i > $i > $o, X3 : $i > $o, X2 : $i] : (! [X7] : ((X3 @ X7) | ~(X6 @ X2 @ X7)))))),
% 2.23/0.66 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mbox)).
% 2.23/0.66 thf(f138,plain,(
% 2.23/0.66 (mdia = (^[Y0 : $i > $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i > $o]: ((^[Y3 : $i]: (~ (Y2 @ Y3))))) @ ((^[Y2 : $i > $i > $o]: ((^[Y3 : $i > $o]: ((^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: ((~ (Y2 @ Y4 @ Y5)) | (Y3 @ Y5))))))))) @ Y0 @ ((^[Y2 : $i > $o]: ((^[Y3 : $i]: (~ (Y2 @ Y3))))) @ Y1)))))))),
% 2.23/0.66 inference(definition_unfolding,[],[f99,f103,f123,f103])).
% 2.23/0.66 thf(f99,plain,(
% 2.23/0.66 (mdia = (^[Y0 : $i > $i > $o]: ((^[Y1 : $i > $o]: (mnot @ (mbox @ Y0 @ (mnot @ Y1)))))))),
% 2.23/0.66 inference(cnf_transformation,[],[f61])).
% 2.23/0.66 thf(f61,plain,(
% 2.23/0.66 (mdia = (^[Y0 : $i > $i > $o]: ((^[Y1 : $i > $o]: (mnot @ (mbox @ Y0 @ (mnot @ Y1)))))))),
% 2.23/0.66 inference(fool_elimination,[],[f60])).
% 2.23/0.66 thf(f60,plain,(
% 2.23/0.66 ((^[X0 : $i > $i > $o, X1 : $i > $o] : (mnot @ (mbox @ X0 @ (mnot @ X1)))) = mdia)),
% 2.23/0.66 inference(rectify,[],[f17])).
% 2.23/0.66 thf(f17,axiom,(
% 2.23/0.66 ((^[X6 : $i > $i > $o, X3 : $i > $o] : (mnot @ (mbox @ X6 @ (mnot @ X3)))) = mdia)),
% 2.23/0.66 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mdia)).
% 2.23/0.66 thf(f131,plain,(
% 2.23/0.66 (mimplies = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i > $o]: ((^[Y3 : $i > $o]: ((^[Y4 : $i]: ((Y3 @ Y4) | (Y2 @ Y4))))))) @ ((^[Y2 : $i > $o]: ((^[Y3 : $i]: (~ (Y2 @ Y3))))) @ Y0) @ Y1)))))),
% 2.23/0.66 inference(definition_unfolding,[],[f112,f107,f103])).
% 2.23/0.66 thf(f107,plain,(
% 2.23/0.66 (mor = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: ((Y1 @ Y2) | (Y0 @ Y2))))))))),
% 2.23/0.66 inference(cnf_transformation,[],[f72])).
% 2.23/0.66 thf(f72,plain,(
% 2.23/0.66 (mor = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: ((Y1 @ Y2) | (Y0 @ Y2))))))))),
% 2.23/0.66 inference(fool_elimination,[],[f71])).
% 2.23/0.66 thf(f71,plain,(
% 2.23/0.66 (mor = (^[X0 : $i > $o, X1 : $i > $o, X2 : $i] : ((X0 @ X2) | (X1 @ X2))))),
% 2.23/0.66 inference(rectify,[],[f4])).
% 2.23/0.66 thf(f4,axiom,(
% 2.23/0.66 (mor = (^[X3 : $i > $o, X4 : $i > $o, X2 : $i] : ((X3 @ X2) | (X4 @ X2))))),
% 2.23/0.66 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mor)).
% 2.23/0.66 thf(f112,plain,(
% 2.23/0.66 (mimplies = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (mor @ (mnot @ Y0) @ Y1)))))),
% 2.23/0.66 inference(cnf_transformation,[],[f66])).
% 2.23/0.66 thf(f66,plain,(
% 2.23/0.66 (mimplies = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (mor @ (mnot @ Y0) @ Y1)))))),
% 2.23/0.66 inference(fool_elimination,[],[f65])).
% 2.23/0.66 thf(f65,plain,(
% 2.23/0.66 (mimplies = (^[X0 : $i > $o, X1 : $i > $o] : (mor @ (mnot @ X0) @ X1)))),
% 2.23/0.66 inference(rectify,[],[f6])).
% 2.23/0.66 thf(f6,axiom,(
% 2.23/0.66 (mimplies = (^[X3 : $i > $o, X4 : $i > $o] : (mor @ (mnot @ X3) @ X4)))),
% 2.23/0.66 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mimplies)).
% 2.23/0.66 thf(f129,plain,(
% 2.23/0.66 (mforall_prop = (^[Y0 : ($i > $o) > $i > $o]: ((^[Y1 : $i]: (!! @ ($i > $o) @ (^[Y2 : $i > $o]: (Y0 @ Y2 @ Y1)))))))),
% 2.23/0.66 inference(cnf_transformation,[],[f94])).
% 2.23/0.66 thf(f94,plain,(
% 2.23/0.66 (mforall_prop = (^[Y0 : ($i > $o) > $i > $o]: ((^[Y1 : $i]: (!! @ ($i > $o) @ (^[Y2 : $i > $o]: (Y0 @ Y2 @ Y1)))))))),
% 2.23/0.66 inference(fool_elimination,[],[f93])).
% 2.23/0.66 thf(f93,plain,(
% 2.23/0.66 (mforall_prop = (^[X0 : ($i > $o) > $i > $o, X1 : $i] : (! [X2 : $i > $o] : (X0 @ X2 @ X1))))),
% 2.23/0.66 inference(rectify,[],[f11])).
% 2.23/0.66 thf(f11,axiom,(
% 2.23/0.66 (mforall_prop = (^[X3 : ($i > $o) > $i > $o, X2 : $i] : (! [X5 : $i > $o] : (X3 @ X5 @ X2))))),
% 2.23/0.66 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mforall_prop)).
% 2.23/0.66 thf(f105,plain,(
% 2.23/0.66 (mvalid = (^[Y0 : $i > $o]: (!! @ $i @ (^[Y1 : $i]: (Y0 @ Y1)))))),
% 2.23/0.66 inference(cnf_transformation,[],[f59])).
% 2.23/0.66 thf(f59,plain,(
% 2.23/0.66 (mvalid = (^[Y0 : $i > $o]: (!! @ $i @ (^[Y1 : $i]: (Y0 @ Y1)))))),
% 2.23/0.66 inference(fool_elimination,[],[f58])).
% 2.23/0.66 thf(f58,plain,(
% 2.23/0.66 ((^[X0 : $i > $o] : (! [X1] : (X0 @ X1))) = mvalid)),
% 2.23/0.66 inference(rectify,[],[f28])).
% 2.23/0.66 thf(f28,axiom,(
% 2.23/0.66 ((^[X3 : $i > $o] : (! [X2] : (X3 @ X2))) = mvalid)),
% 2.23/0.66 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mvalid)).
% 2.23/0.66 thf(f108,plain,(
% 2.23/0.66 ((mvalid @ (mforall_prop @ (^[Y0 : $i > $o]: (mimplies @ (mdia @ sK0 @ Y0) @ (mbox @ sK0 @ (mdia @ sK0 @ Y0)))))) != (mvalid @ (mforall_prop @ (^[Y0 : $i > $o]: (mimplies @ (mnot @ (mbox @ sK0 @ Y0)) @ (mbox @ sK0 @ (mnot @ (mbox @ sK0 @ Y0))))))))),
% 2.23/0.66 inference(cnf_transformation,[],[f97])).
% 2.23/0.66 thf(f97,plain,(
% 2.23/0.66 ((mvalid @ (mforall_prop @ (^[Y0 : $i > $o]: (mimplies @ (mdia @ sK0 @ Y0) @ (mbox @ sK0 @ (mdia @ sK0 @ Y0)))))) != (mvalid @ (mforall_prop @ (^[Y0 : $i > $o]: (mimplies @ (mnot @ (mbox @ sK0 @ Y0)) @ (mbox @ sK0 @ (mnot @ (mbox @ sK0 @ Y0))))))))),
% 2.23/0.66 inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f95,f96])).
% 2.23/0.66 thf(f96,plain,(
% 2.23/0.66 ? [X0 : $i > $i > $o] : ((mvalid @ (mforall_prop @ (^[Y0 : $i > $o]: (mimplies @ (mdia @ X0 @ Y0) @ (mbox @ X0 @ (mdia @ X0 @ Y0)))))) != (mvalid @ (mforall_prop @ (^[Y0 : $i > $o]: (mimplies @ (mnot @ (mbox @ X0 @ Y0)) @ (mbox @ X0 @ (mnot @ (mbox @ X0 @ Y0)))))))) => ((mvalid @ (mforall_prop @ (^[Y0 : $i > $o]: (mimplies @ (mdia @ sK0 @ Y0) @ (mbox @ sK0 @ (mdia @ sK0 @ Y0)))))) != (mvalid @ (mforall_prop @ (^[Y0 : $i > $o]: (mimplies @ (mnot @ (mbox @ sK0 @ Y0)) @ (mbox @ sK0 @ (mnot @ (mbox @ sK0 @ Y0))))))))),
% 2.23/0.66 introduced(choice_axiom,[])).
% 2.23/0.66 thf(f95,plain,(
% 2.23/0.66 ? [X0 : $i > $i > $o] : ((mvalid @ (mforall_prop @ (^[Y0 : $i > $o]: (mimplies @ (mdia @ X0 @ Y0) @ (mbox @ X0 @ (mdia @ X0 @ Y0)))))) != (mvalid @ (mforall_prop @ (^[Y0 : $i > $o]: (mimplies @ (mnot @ (mbox @ X0 @ Y0)) @ (mbox @ X0 @ (mnot @ (mbox @ X0 @ Y0))))))))),
% 2.23/0.66 inference(ennf_transformation,[],[f57])).
% 2.23/0.66 thf(f57,plain,(
% 2.23/0.66 ~! [X0 : $i > $i > $o] : ((mvalid @ (mforall_prop @ (^[Y0 : $i > $o]: (mimplies @ (mdia @ X0 @ Y0) @ (mbox @ X0 @ (mdia @ X0 @ Y0)))))) = (mvalid @ (mforall_prop @ (^[Y0 : $i > $o]: (mimplies @ (mnot @ (mbox @ X0 @ Y0)) @ (mbox @ X0 @ (mnot @ (mbox @ X0 @ Y0))))))))),
% 2.23/0.66 inference(fool_elimination,[],[f56])).
% 2.23/0.66 thf(f56,plain,(
% 2.23/0.66 ~! [X0 : $i > $i > $o] : ((mvalid @ (mforall_prop @ (^[X1 : $i > $o] : (mimplies @ (mdia @ X0 @ X1) @ (mbox @ X0 @ (mdia @ X0 @ X1)))))) <=> (mvalid @ (mforall_prop @ (^[X2 : $i > $o] : (mimplies @ (mnot @ (mbox @ X0 @ X2)) @ (mbox @ X0 @ (mnot @ (mbox @ X0 @ X2))))))))),
% 2.23/0.66 inference(rectify,[],[f33])).
% 2.23/0.66 thf(f33,negated_conjecture,(
% 2.23/0.66 ~! [X6 : $i > $i > $o] : ((mvalid @ (mforall_prop @ (^[X3 : $i > $o] : (mimplies @ (mdia @ X6 @ X3) @ (mbox @ X6 @ (mdia @ X6 @ X3)))))) <=> (mvalid @ (mforall_prop @ (^[X3 : $i > $o] : (mimplies @ (mnot @ (mbox @ X6 @ X3)) @ (mbox @ X6 @ (mnot @ (mbox @ X6 @ X3))))))))),
% 2.23/0.66 inference(negated_conjecture,[],[f32])).
% 2.23/0.66 thf(f32,conjecture,(
% 2.23/0.66 ! [X6 : $i > $i > $o] : ((mvalid @ (mforall_prop @ (^[X3 : $i > $o] : (mimplies @ (mdia @ X6 @ X3) @ (mbox @ X6 @ (mdia @ X6 @ X3)))))) <=> (mvalid @ (mforall_prop @ (^[X3 : $i > $o] : (mimplies @ (mnot @ (mbox @ X6 @ X3)) @ (mbox @ X6 @ (mnot @ (mbox @ X6 @ X3))))))))),
% 2.23/0.66 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj)).
% 2.23/0.66 thf(f411,plain,(
% 2.23/0.66 spl1_23 | spl1_19),
% 2.23/0.66 inference(avatar_split_clause,[],[f171,f389,f409])).
% 2.23/0.66 thf(f171,plain,(
% 2.23/0.66 ( ! [X1 : $i] : (($true = (sK0 @ sK2 @ sK5)) | ((sK0 @ sK7 @ X1) = $false) | ((sK6 @ X1) = $true)) )),
% 2.23/0.66 inference(not_proxy_clausification,[],[f170])).
% 2.23/0.66 thf(f170,plain,(
% 2.23/0.66 ( ! [X1 : $i] : (($true = (sK0 @ sK2 @ sK5)) | ((sK6 @ X1) = $true) | ((~ (sK0 @ sK7 @ X1)) = $true)) )),
% 2.23/0.66 inference(binary_proxy_clausification,[],[f169])).
% 2.23/0.66 thf(f169,plain,(
% 2.23/0.66 ( ! [X1 : $i] : (($true = (sK0 @ sK2 @ sK5)) | ($true = ((~ (sK0 @ sK7 @ X1)) | (sK6 @ X1)))) )),
% 2.23/0.66 inference(beta_eta_normalization,[],[f168])).
% 2.23/0.66 thf(f168,plain,(
% 2.23/0.66 ( ! [X1 : $i] : (($true = ((^[Y0 : $i]: ((~ (sK0 @ sK7 @ Y0)) | (sK6 @ Y0))) @ X1)) | ($true = (sK0 @ sK2 @ sK5))) )),
% 2.23/0.66 inference(pi_clausification,[],[f167])).
% 2.23/0.66 thf(f167,plain,(
% 2.23/0.66 ($true = (sK0 @ sK2 @ sK5)) | ($true = (!! @ $i @ (^[Y0 : $i]: ((~ (sK0 @ sK7 @ Y0)) | (sK6 @ Y0)))))),
% 2.23/0.66 inference(not_proxy_clausification,[],[f164])).
% 2.23/0.66 thf(f164,plain,(
% 2.23/0.66 ($true = (sK0 @ sK2 @ sK5)) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (sK0 @ sK7 @ Y0)) | (sK6 @ Y0))))) = $false)),
% 2.23/0.66 inference(binary_proxy_clausification,[],[f163])).
% 2.23/0.66 thf(f407,plain,(
% 2.23/0.66 spl1_22 | spl1_17),
% 2.23/0.66 inference(avatar_split_clause,[],[f182,f381,f404])).
% 2.23/0.66 thf(f182,plain,(
% 2.23/0.66 ( ! [X1 : $i] : (((sK3 @ X1) = $false) | ((sK0 @ sK4 @ sK8) = $true) | ($false = (sK0 @ sK5 @ X1))) )),
% 2.23/0.66 inference(not_proxy_clausification,[],[f181])).
% 2.23/0.66 thf(f181,plain,(
% 2.23/0.66 ( ! [X1 : $i] : (((sK3 @ X1) = $false) | ($false = (~ (sK0 @ sK4 @ sK8))) | ($false = (sK0 @ sK5 @ X1))) )),
% 2.23/0.66 inference(binary_proxy_clausification,[],[f179])).
% 2.23/0.66 thf(f179,plain,(
% 2.23/0.66 ( ! [X1 : $i] : ((((~ (sK0 @ sK4 @ sK8)) | (~ (!! @ $i @ (^[Y0 : $i]: ((~ (sK0 @ sK8 @ Y0)) | (sK6 @ Y0)))))) = $false) | ($false = (sK0 @ sK5 @ X1)) | ((sK3 @ X1) = $false)) )),
% 2.23/0.66 inference(not_proxy_clausification,[],[f178])).
% 2.23/0.66 thf(f178,plain,(
% 2.23/0.66 ( ! [X1 : $i] : (((sK3 @ X1) = $false) | ($true = (~ (sK0 @ sK5 @ X1))) | (((~ (sK0 @ sK4 @ sK8)) | (~ (!! @ $i @ (^[Y0 : $i]: ((~ (sK0 @ sK8 @ Y0)) | (sK6 @ Y0)))))) = $false)) )),
% 2.23/0.66 inference(not_proxy_clausification,[],[f177])).
% 2.23/0.66 thf(f177,plain,(
% 2.23/0.66 ( ! [X1 : $i] : (($true = (~ (sK3 @ X1))) | (((~ (sK0 @ sK4 @ sK8)) | (~ (!! @ $i @ (^[Y0 : $i]: ((~ (sK0 @ sK8 @ Y0)) | (sK6 @ Y0)))))) = $false) | ($true = (~ (sK0 @ sK5 @ X1)))) )),
% 2.23/0.66 inference(binary_proxy_clausification,[],[f176])).
% 2.23/0.66 thf(f176,plain,(
% 2.23/0.66 ( ! [X1 : $i] : (($true = ((~ (sK0 @ sK5 @ X1)) | (~ (sK3 @ X1)))) | (((~ (sK0 @ sK4 @ sK8)) | (~ (!! @ $i @ (^[Y0 : $i]: ((~ (sK0 @ sK8 @ Y0)) | (sK6 @ Y0)))))) = $false)) )),
% 2.23/0.66 inference(beta_eta_normalization,[],[f175])).
% 2.23/0.66 thf(f175,plain,(
% 2.23/0.66 ( ! [X1 : $i] : ((((^[Y0 : $i]: ((~ (sK0 @ sK4 @ Y0)) | (~ (!! @ $i @ (^[Y1 : $i]: ((~ (sK0 @ Y0 @ Y1)) | (sK6 @ Y1))))))) @ sK8) = $false) | ($true = ((~ (sK0 @ sK5 @ X1)) | (~ (sK3 @ X1))))) )),
% 2.23/0.66 inference(sigma_clausification,[],[f174])).
% 2.23/0.66 thf(f174,plain,(
% 2.23/0.66 ( ! [X1 : $i] : (((!! @ $i @ (^[Y0 : $i]: ((~ (sK0 @ sK4 @ Y0)) | (~ (!! @ $i @ (^[Y1 : $i]: ((~ (sK0 @ Y0 @ Y1)) | (sK6 @ Y1)))))))) = $false) | ($true = ((~ (sK0 @ sK5 @ X1)) | (~ (sK3 @ X1))))) )),
% 2.23/0.66 inference(beta_eta_normalization,[],[f173])).
% 2.23/0.66 thf(f173,plain,(
% 2.23/0.66 ( ! [X1 : $i] : (($true = ((^[Y0 : $i]: ((~ (sK0 @ sK5 @ Y0)) | (~ (sK3 @ Y0)))) @ X1)) | ((!! @ $i @ (^[Y0 : $i]: ((~ (sK0 @ sK4 @ Y0)) | (~ (!! @ $i @ (^[Y1 : $i]: ((~ (sK0 @ Y0 @ Y1)) | (sK6 @ Y1)))))))) = $false)) )),
% 2.23/0.66 inference(pi_clausification,[],[f172])).
% 2.23/0.66 thf(f172,plain,(
% 2.23/0.66 ($true = (!! @ $i @ (^[Y0 : $i]: ((~ (sK0 @ sK5 @ Y0)) | (~ (sK3 @ Y0)))))) | ((!! @ $i @ (^[Y0 : $i]: ((~ (sK0 @ sK4 @ Y0)) | (~ (!! @ $i @ (^[Y1 : $i]: ((~ (sK0 @ Y0 @ Y1)) | (sK6 @ Y1)))))))) = $false)),
% 2.23/0.66 inference(not_proxy_clausification,[],[f159])).
% 2.23/0.66 thf(f159,plain,(
% 2.23/0.66 ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (sK0 @ sK5 @ Y0)) | (~ (sK3 @ Y0)))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((~ (sK0 @ sK4 @ Y0)) | (~ (!! @ $i @ (^[Y1 : $i]: ((~ (sK0 @ Y0 @ Y1)) | (sK6 @ Y1)))))))) = $false)),
% 2.23/0.66 inference(binary_proxy_clausification,[],[f158])).
% 2.23/0.66 thf(f402,plain,(
% 2.23/0.66 spl1_21 | spl1_17),
% 2.23/0.66 inference(avatar_split_clause,[],[f187,f381,f400])).
% 2.23/0.66 thf(f187,plain,(
% 2.23/0.66 ( ! [X2 : $i,X1 : $i] : (($true = (sK6 @ X2)) | ((sK3 @ X1) = $false) | ($false = (sK0 @ sK8 @ X2)) | ($false = (sK0 @ sK5 @ X1))) )),
% 2.23/0.66 inference(not_proxy_clausification,[],[f186])).
% 2.23/0.66 thf(f186,plain,(
% 2.23/0.66 ( ! [X2 : $i,X1 : $i] : (($true = (sK6 @ X2)) | ((sK3 @ X1) = $false) | ($true = (~ (sK0 @ sK8 @ X2))) | ($false = (sK0 @ sK5 @ X1))) )),
% 2.23/0.66 inference(binary_proxy_clausification,[],[f185])).
% 2.23/0.66 thf(f185,plain,(
% 2.23/0.66 ( ! [X2 : $i,X1 : $i] : (((sK3 @ X1) = $false) | ($true = ((~ (sK0 @ sK8 @ X2)) | (sK6 @ X2))) | ($false = (sK0 @ sK5 @ X1))) )),
% 2.23/0.66 inference(beta_eta_normalization,[],[f184])).
% 2.23/0.66 thf(f184,plain,(
% 2.23/0.66 ( ! [X2 : $i,X1 : $i] : (((sK3 @ X1) = $false) | ($false = (sK0 @ sK5 @ X1)) | ($true = ((^[Y0 : $i]: ((~ (sK0 @ sK8 @ Y0)) | (sK6 @ Y0))) @ X2))) )),
% 2.23/0.66 inference(pi_clausification,[],[f183])).
% 2.23/0.66 thf(f183,plain,(
% 2.23/0.66 ( ! [X1 : $i] : (($true = (!! @ $i @ (^[Y0 : $i]: ((~ (sK0 @ sK8 @ Y0)) | (sK6 @ Y0))))) | ((sK3 @ X1) = $false) | ($false = (sK0 @ sK5 @ X1))) )),
% 2.23/0.66 inference(not_proxy_clausification,[],[f180])).
% 2.23/0.66 thf(f180,plain,(
% 2.23/0.66 ( ! [X1 : $i] : (((sK3 @ X1) = $false) | ($false = (sK0 @ sK5 @ X1)) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (sK0 @ sK8 @ Y0)) | (sK6 @ Y0))))) = $false)) )),
% 2.23/0.66 inference(binary_proxy_clausification,[],[f179])).
% 2.23/0.66 thf(f398,plain,(
% 2.23/0.66 spl1_19 | spl1_20),
% 2.23/0.66 inference(avatar_split_clause,[],[f195,f394,f389])).
% 2.23/0.66 thf(f195,plain,(
% 2.23/0.66 ($true = (sK0 @ sK4 @ sK9)) | ($true = (sK0 @ sK2 @ sK5))),
% 2.23/0.66 inference(not_proxy_clausification,[],[f194])).
% 2.23/0.66 thf(f194,plain,(
% 2.23/0.66 ((~ (sK0 @ sK2 @ sK5)) = $false) | ($true = (sK0 @ sK4 @ sK9))),
% 2.23/0.66 inference(not_proxy_clausification,[],[f193])).
% 2.23/0.66 thf(f193,plain,(
% 2.23/0.66 ((~ (sK0 @ sK4 @ sK9)) = $false) | ((~ (sK0 @ sK2 @ sK5)) = $false)),
% 2.23/0.66 inference(binary_proxy_clausification,[],[f191])).
% 2.23/0.66 thf(f191,plain,(
% 2.23/0.66 (((~ (sK0 @ sK2 @ sK5)) | (~ (!! @ $i @ (^[Y0 : $i]: ((~ (sK0 @ sK5 @ Y0)) | (~ (sK3 @ Y0))))))) = $false) | ((~ (sK0 @ sK4 @ sK9)) = $false)),
% 2.23/0.66 inference(binary_proxy_clausification,[],[f189])).
% 2.23/0.66 thf(f189,plain,(
% 2.23/0.66 (((~ (sK0 @ sK4 @ sK9)) | (sK6 @ sK9)) = $false) | (((~ (sK0 @ sK2 @ sK5)) | (~ (!! @ $i @ (^[Y0 : $i]: ((~ (sK0 @ sK5 @ Y0)) | (~ (sK3 @ Y0))))))) = $false)),
% 2.23/0.66 inference(beta_eta_normalization,[],[f188])).
% 2.23/0.66 thf(f188,plain,(
% 2.23/0.66 (((^[Y0 : $i]: ((~ (sK0 @ sK4 @ Y0)) | (sK6 @ Y0))) @ sK9) = $false) | (((~ (sK0 @ sK2 @ sK5)) | (~ (!! @ $i @ (^[Y0 : $i]: ((~ (sK0 @ sK5 @ Y0)) | (~ (sK3 @ Y0))))))) = $false)),
% 2.23/0.67 inference(sigma_clausification,[],[f157])).
% 2.23/0.67 thf(f157,plain,(
% 2.23/0.67 ((!! @ $i @ (^[Y0 : $i]: ((~ (sK0 @ sK4 @ Y0)) | (sK6 @ Y0)))) = $false) | (((~ (sK0 @ sK2 @ sK5)) | (~ (!! @ $i @ (^[Y0 : $i]: ((~ (sK0 @ sK5 @ Y0)) | (~ (sK3 @ Y0))))))) = $false)),
% 2.23/0.67 inference(binary_proxy_clausification,[],[f156])).
% 2.23/0.67 thf(f397,plain,(
% 2.23/0.67 spl1_17 | spl1_20),
% 2.23/0.67 inference(avatar_split_clause,[],[f202,f394,f381])).
% 2.23/0.67 thf(f202,plain,(
% 2.23/0.67 ( ! [X1 : $i] : (($false = (sK0 @ sK5 @ X1)) | ((sK3 @ X1) = $false) | ($true = (sK0 @ sK4 @ sK9))) )),
% 2.23/0.67 inference(not_proxy_clausification,[],[f201])).
% 2.23/0.67 thf(f201,plain,(
% 2.23/0.67 ( ! [X1 : $i] : (($true = (sK0 @ sK4 @ sK9)) | ($false = (sK0 @ sK5 @ X1)) | ($true = (~ (sK3 @ X1)))) )),
% 2.23/0.67 inference(not_proxy_clausification,[],[f200])).
% 2.23/0.67 thf(f200,plain,(
% 2.23/0.67 ( ! [X1 : $i] : (($true = (sK0 @ sK4 @ sK9)) | ($true = (~ (sK0 @ sK5 @ X1))) | ($true = (~ (sK3 @ X1)))) )),
% 2.23/0.67 inference(binary_proxy_clausification,[],[f199])).
% 2.23/0.67 thf(f199,plain,(
% 2.23/0.67 ( ! [X1 : $i] : (($true = ((~ (sK0 @ sK5 @ X1)) | (~ (sK3 @ X1)))) | ($true = (sK0 @ sK4 @ sK9))) )),
% 2.23/0.67 inference(beta_eta_normalization,[],[f198])).
% 2.23/0.67 thf(f198,plain,(
% 2.23/0.67 ( ! [X1 : $i] : (($true = ((^[Y0 : $i]: ((~ (sK0 @ sK5 @ Y0)) | (~ (sK3 @ Y0)))) @ X1)) | ($true = (sK0 @ sK4 @ sK9))) )),
% 2.23/0.67 inference(pi_clausification,[],[f197])).
% 2.23/0.67 thf(f197,plain,(
% 2.23/0.67 ($true = (sK0 @ sK4 @ sK9)) | ($true = (!! @ $i @ (^[Y0 : $i]: ((~ (sK0 @ sK5 @ Y0)) | (~ (sK3 @ Y0))))))),
% 2.23/0.67 inference(not_proxy_clausification,[],[f196])).
% 2.23/0.67 thf(f196,plain,(
% 2.23/0.67 ((~ (sK0 @ sK4 @ sK9)) = $false) | ($true = (!! @ $i @ (^[Y0 : $i]: ((~ (sK0 @ sK5 @ Y0)) | (~ (sK3 @ Y0))))))),
% 2.23/0.67 inference(not_proxy_clausification,[],[f192])).
% 2.23/0.67 thf(f192,plain,(
% 2.23/0.67 ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (sK0 @ sK5 @ Y0)) | (~ (sK3 @ Y0)))))) = $false) | ((~ (sK0 @ sK4 @ sK9)) = $false)),
% 2.23/0.67 inference(binary_proxy_clausification,[],[f191])).
% 2.23/0.67 thf(f392,plain,(
% 2.23/0.67 spl1_19 | spl1_18),
% 2.23/0.67 inference(avatar_split_clause,[],[f205,f384,f389])).
% 2.23/0.67 thf(f205,plain,(
% 2.23/0.67 ((sK6 @ sK9) = $false) | ($true = (sK0 @ sK2 @ sK5))),
% 2.23/0.67 inference(not_proxy_clausification,[],[f204])).
% 2.23/0.67 thf(f204,plain,(
% 2.23/0.67 ((~ (sK0 @ sK2 @ sK5)) = $false) | ((sK6 @ sK9) = $false)),
% 2.23/0.67 inference(binary_proxy_clausification,[],[f190])).
% 2.23/0.67 thf(f190,plain,(
% 2.23/0.67 ((sK6 @ sK9) = $false) | (((~ (sK0 @ sK2 @ sK5)) | (~ (!! @ $i @ (^[Y0 : $i]: ((~ (sK0 @ sK5 @ Y0)) | (~ (sK3 @ Y0))))))) = $false)),
% 2.23/0.67 inference(binary_proxy_clausification,[],[f189])).
% 2.23/0.67 thf(f387,plain,(
% 2.23/0.67 spl1_17 | spl1_18),
% 2.23/0.67 inference(avatar_split_clause,[],[f211,f384,f381])).
% 2.23/0.67 thf(f211,plain,(
% 2.23/0.67 ( ! [X1 : $i] : (($false = (sK0 @ sK5 @ X1)) | ((sK6 @ sK9) = $false) | ((sK3 @ X1) = $false)) )),
% 2.23/0.67 inference(not_proxy_clausification,[],[f210])).
% 2.23/0.67 thf(f210,plain,(
% 2.23/0.67 ( ! [X1 : $i] : (((sK6 @ sK9) = $false) | ($true = (~ (sK3 @ X1))) | ($false = (sK0 @ sK5 @ X1))) )),
% 2.23/0.67 inference(not_proxy_clausification,[],[f209])).
% 2.23/0.67 thf(f209,plain,(
% 2.23/0.67 ( ! [X1 : $i] : (($true = (~ (sK0 @ sK5 @ X1))) | ($true = (~ (sK3 @ X1))) | ((sK6 @ sK9) = $false)) )),
% 2.23/0.67 inference(binary_proxy_clausification,[],[f208])).
% 2.23/0.67 thf(f208,plain,(
% 2.23/0.67 ( ! [X1 : $i] : (($true = ((~ (sK0 @ sK5 @ X1)) | (~ (sK3 @ X1)))) | ((sK6 @ sK9) = $false)) )),
% 2.23/0.67 inference(beta_eta_normalization,[],[f207])).
% 2.23/0.67 thf(f207,plain,(
% 2.23/0.67 ( ! [X1 : $i] : (($true = ((^[Y0 : $i]: ((~ (sK0 @ sK5 @ Y0)) | (~ (sK3 @ Y0)))) @ X1)) | ((sK6 @ sK9) = $false)) )),
% 2.23/0.67 inference(pi_clausification,[],[f206])).
% 2.23/0.67 thf(f206,plain,(
% 2.23/0.67 ($true = (!! @ $i @ (^[Y0 : $i]: ((~ (sK0 @ sK5 @ Y0)) | (~ (sK3 @ Y0)))))) | ((sK6 @ sK9) = $false)),
% 2.23/0.67 inference(not_proxy_clausification,[],[f203])).
% 2.23/0.67 thf(f203,plain,(
% 2.23/0.67 ((sK6 @ sK9) = $false) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (sK0 @ sK5 @ Y0)) | (~ (sK3 @ Y0)))))) = $false)),
% 2.23/0.67 inference(binary_proxy_clausification,[],[f190])).
% 2.23/0.67 thf(f379,plain,(
% 2.23/0.67 spl1_15 | spl1_16),
% 2.23/0.67 inference(avatar_split_clause,[],[f225,f375,f370])).
% 2.23/0.67 thf(f225,plain,(
% 2.23/0.67 ($true = (sK0 @ sK4 @ sK11)) | ($true = (sK0 @ sK2 @ sK12))),
% 2.23/0.67 inference(not_proxy_clausification,[],[f224])).
% 2.23/0.67 thf(f224,plain,(
% 2.23/0.67 ($true = (sK0 @ sK2 @ sK12)) | ((~ (sK0 @ sK4 @ sK11)) = $false)),
% 2.23/0.67 inference(not_proxy_clausification,[],[f223])).
% 2.23/0.67 thf(f223,plain,(
% 2.23/0.67 ((~ (sK0 @ sK2 @ sK12)) = $false) | ((~ (sK0 @ sK4 @ sK11)) = $false)),
% 2.23/0.67 inference(binary_proxy_clausification,[],[f221])).
% 2.23/0.67 thf(f221,plain,(
% 2.23/0.67 ($false = ((~ (sK0 @ sK2 @ sK12)) | (~ (sK3 @ sK12)))) | ((~ (sK0 @ sK4 @ sK11)) = $false)),
% 2.23/0.67 inference(binary_proxy_clausification,[],[f219])).
% 2.23/0.67 thf(f219,plain,(
% 2.23/0.67 ($false = ((~ (sK0 @ sK4 @ sK11)) | (~ (!! @ $i @ (^[Y0 : $i]: ((~ (sK0 @ sK11 @ Y0)) | (sK10 @ Y0))))))) | ($false = ((~ (sK0 @ sK2 @ sK12)) | (~ (sK3 @ sK12))))),
% 2.23/0.67 inference(beta_eta_normalization,[],[f218])).
% 2.23/0.67 thf(f218,plain,(
% 2.23/0.67 ($false = ((~ (sK0 @ sK4 @ sK11)) | (~ (!! @ $i @ (^[Y0 : $i]: ((~ (sK0 @ sK11 @ Y0)) | (sK10 @ Y0))))))) | ($false = ((^[Y0 : $i]: ((~ (sK0 @ sK2 @ Y0)) | (~ (sK3 @ Y0)))) @ sK12))),
% 2.23/0.67 inference(sigma_clausification,[],[f217])).
% 2.23/0.67 thf(f217,plain,(
% 2.23/0.67 ((!! @ $i @ (^[Y0 : $i]: ((~ (sK0 @ sK2 @ Y0)) | (~ (sK3 @ Y0))))) = $false) | ($false = ((~ (sK0 @ sK4 @ sK11)) | (~ (!! @ $i @ (^[Y0 : $i]: ((~ (sK0 @ sK11 @ Y0)) | (sK10 @ Y0)))))))),
% 2.23/0.67 inference(beta_eta_normalization,[],[f216])).
% 2.23/0.67 thf(f216,plain,(
% 2.23/0.67 ((!! @ $i @ (^[Y0 : $i]: ((~ (sK0 @ sK2 @ Y0)) | (~ (sK3 @ Y0))))) = $false) | (((^[Y0 : $i]: ((~ (sK0 @ sK4 @ Y0)) | (~ (!! @ $i @ (^[Y1 : $i]: ((~ (sK0 @ Y0 @ Y1)) | (sK10 @ Y1))))))) @ sK11) = $false)),
% 2.23/0.67 inference(sigma_clausification,[],[f215])).
% 2.23/0.67 thf(f215,plain,(
% 2.23/0.67 ((!! @ $i @ (^[Y0 : $i]: ((~ (sK0 @ sK4 @ Y0)) | (~ (!! @ $i @ (^[Y1 : $i]: ((~ (sK0 @ Y0 @ Y1)) | (sK10 @ Y1)))))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((~ (sK0 @ sK2 @ Y0)) | (~ (sK3 @ Y0))))) = $false)),
% 2.23/0.67 inference(binary_proxy_clausification,[],[f213])).
% 2.23/0.67 thf(f213,plain,(
% 2.23/0.67 (((!! @ $i @ (^[Y0 : $i]: ((~ (sK0 @ sK4 @ Y0)) | (~ (!! @ $i @ (^[Y1 : $i]: ((~ (sK0 @ Y0 @ Y1)) | (sK10 @ Y1)))))))) | (!! @ $i @ (^[Y0 : $i]: ((~ (sK0 @ sK4 @ Y0)) | (sK10 @ Y0))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((~ (sK0 @ sK2 @ Y0)) | (~ (sK3 @ Y0))))) = $false)),
% 2.23/0.67 inference(beta_eta_normalization,[],[f212])).
% 2.23/0.67 thf(f212,plain,(
% 2.23/0.67 ((!! @ $i @ (^[Y0 : $i]: ((~ (sK0 @ sK2 @ Y0)) | (~ (sK3 @ Y0))))) = $false) | (((^[Y0 : $i > $o]: ((!! @ $i @ (^[Y1 : $i]: ((~ (sK0 @ sK4 @ Y1)) | (~ (!! @ $i @ (^[Y2 : $i]: ((~ (sK0 @ Y1 @ Y2)) | (Y0 @ Y2)))))))) | (!! @ $i @ (^[Y1 : $i]: ((~ (sK0 @ sK4 @ Y1)) | (Y0 @ Y1)))))) @ sK10) = $false)),
% 2.23/0.67 inference(sigma_clausification,[],[f151])).
% 2.23/0.67 thf(f151,plain,(
% 2.23/0.67 ((!! @ ($i > $o) @ (^[Y0 : $i > $o]: ((!! @ $i @ (^[Y1 : $i]: ((~ (sK0 @ sK4 @ Y1)) | (~ (!! @ $i @ (^[Y2 : $i]: ((~ (sK0 @ Y1 @ Y2)) | (Y0 @ Y2)))))))) | (!! @ $i @ (^[Y1 : $i]: ((~ (sK0 @ sK4 @ Y1)) | (Y0 @ Y1))))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((~ (sK0 @ sK2 @ Y0)) | (~ (sK3 @ Y0))))) = $false)),
% 2.23/0.67 inference(binary_proxy_clausification,[],[f150])).
% 2.23/0.67 thf(f378,plain,(
% 2.23/0.67 spl1_14 | spl1_16),
% 2.23/0.67 inference(avatar_split_clause,[],[f227,f375,f365])).
% 2.23/0.67 thf(f227,plain,(
% 2.23/0.67 ($true = (sK0 @ sK4 @ sK11)) | ((sK3 @ sK12) = $true)),
% 2.23/0.67 inference(not_proxy_clausification,[],[f226])).
% 2.23/0.67 thf(f226,plain,(
% 2.23/0.67 ($true = (sK0 @ sK4 @ sK11)) | ((~ (sK3 @ sK12)) = $false)),
% 2.23/0.67 inference(not_proxy_clausification,[],[f222])).
% 2.23/0.67 thf(f222,plain,(
% 2.23/0.67 ((~ (sK0 @ sK4 @ sK11)) = $false) | ((~ (sK3 @ sK12)) = $false)),
% 2.23/0.67 inference(binary_proxy_clausification,[],[f221])).
% 2.23/0.67 thf(f373,plain,(
% 2.23/0.67 spl1_15 | spl1_13),
% 2.23/0.67 inference(avatar_split_clause,[],[f235,f362,f370])).
% 2.23/0.67 thf(f235,plain,(
% 2.23/0.67 ( ! [X1 : $i] : (($true = (sK0 @ sK2 @ sK12)) | ($true = (sK10 @ X1)) | ((sK0 @ sK11 @ X1) = $false)) )),
% 2.23/0.67 inference(not_proxy_clausification,[],[f234])).
% 2.23/0.67 thf(f234,plain,(
% 2.23/0.67 ( ! [X1 : $i] : (($true = (sK10 @ X1)) | ($true = (sK0 @ sK2 @ sK12)) | ($true = (~ (sK0 @ sK11 @ X1)))) )),
% 2.23/0.67 inference(binary_proxy_clausification,[],[f233])).
% 2.23/0.67 thf(f233,plain,(
% 2.23/0.67 ( ! [X1 : $i] : (($true = (sK0 @ sK2 @ sK12)) | ($true = ((~ (sK0 @ sK11 @ X1)) | (sK10 @ X1)))) )),
% 2.23/0.67 inference(beta_eta_normalization,[],[f232])).
% 2.23/0.67 thf(f232,plain,(
% 2.23/0.67 ( ! [X1 : $i] : ((((^[Y0 : $i]: ((~ (sK0 @ sK11 @ Y0)) | (sK10 @ Y0))) @ X1) = $true) | ($true = (sK0 @ sK2 @ sK12))) )),
% 2.23/0.67 inference(pi_clausification,[],[f231])).
% 2.23/0.67 thf(f231,plain,(
% 2.23/0.67 ($true = (sK0 @ sK2 @ sK12)) | ((!! @ $i @ (^[Y0 : $i]: ((~ (sK0 @ sK11 @ Y0)) | (sK10 @ Y0)))) = $true)),
% 2.23/0.67 inference(not_proxy_clausification,[],[f230])).
% 2.23/0.67 thf(f230,plain,(
% 2.23/0.67 ($true = (sK0 @ sK2 @ sK12)) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (sK0 @ sK11 @ Y0)) | (sK10 @ Y0))))) = $false)),
% 2.23/0.67 inference(not_proxy_clausification,[],[f229])).
% 2.23/0.67 thf(f229,plain,(
% 2.23/0.67 ((~ (sK0 @ sK2 @ sK12)) = $false) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (sK0 @ sK11 @ Y0)) | (sK10 @ Y0))))) = $false)),
% 2.23/0.67 inference(binary_proxy_clausification,[],[f220])).
% 2.23/0.67 thf(f220,plain,(
% 2.23/0.67 ($false = ((~ (sK0 @ sK2 @ sK12)) | (~ (sK3 @ sK12)))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (sK0 @ sK11 @ Y0)) | (sK10 @ Y0))))) = $false)),
% 2.23/0.67 inference(binary_proxy_clausification,[],[f219])).
% 2.23/0.67 thf(f368,plain,(
% 2.23/0.67 spl1_13 | spl1_14),
% 2.23/0.67 inference(avatar_split_clause,[],[f241,f365,f362])).
% 2.23/0.67 thf(f241,plain,(
% 2.23/0.67 ( ! [X1 : $i] : (($true = (sK10 @ X1)) | ((sK3 @ sK12) = $true) | ((sK0 @ sK11 @ X1) = $false)) )),
% 2.23/0.67 inference(not_proxy_clausification,[],[f240])).
% 2.23/0.67 thf(f240,plain,(
% 2.23/0.67 ( ! [X1 : $i] : (((sK3 @ sK12) = $true) | ($true = (~ (sK0 @ sK11 @ X1))) | ($true = (sK10 @ X1))) )),
% 2.23/0.67 inference(binary_proxy_clausification,[],[f239])).
% 2.23/0.67 thf(f239,plain,(
% 2.23/0.67 ( ! [X1 : $i] : (((sK3 @ sK12) = $true) | ($true = ((~ (sK0 @ sK11 @ X1)) | (sK10 @ X1)))) )),
% 2.23/0.67 inference(beta_eta_normalization,[],[f238])).
% 2.23/0.67 thf(f238,plain,(
% 2.23/0.67 ( ! [X1 : $i] : ((((^[Y0 : $i]: ((~ (sK0 @ sK11 @ Y0)) | (sK10 @ Y0))) @ X1) = $true) | ((sK3 @ sK12) = $true)) )),
% 2.23/0.67 inference(pi_clausification,[],[f237])).
% 2.23/0.67 thf(f237,plain,(
% 2.23/0.67 ((sK3 @ sK12) = $true) | ((!! @ $i @ (^[Y0 : $i]: ((~ (sK0 @ sK11 @ Y0)) | (sK10 @ Y0)))) = $true)),
% 2.23/0.67 inference(not_proxy_clausification,[],[f236])).
% 2.23/0.67 thf(f236,plain,(
% 2.23/0.67 ((~ (sK3 @ sK12)) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((~ (sK0 @ sK11 @ Y0)) | (sK10 @ Y0)))) = $true)),
% 2.23/0.67 inference(not_proxy_clausification,[],[f228])).
% 2.23/0.67 thf(f228,plain,(
% 2.23/0.67 ((~ (!! @ $i @ (^[Y0 : $i]: ((~ (sK0 @ sK11 @ Y0)) | (sK10 @ Y0))))) = $false) | ((~ (sK3 @ sK12)) = $false)),
% 2.23/0.67 inference(binary_proxy_clausification,[],[f220])).
% 2.23/0.67 thf(f360,plain,(
% 2.23/0.67 spl1_10 | spl1_12),
% 2.23/0.67 inference(avatar_split_clause,[],[f251,f357,f348])).
% 2.23/0.67 thf(f251,plain,(
% 2.23/0.67 ($true = (sK0 @ sK2 @ sK13)) | ($true = (sK0 @ sK4 @ sK14))),
% 2.23/0.67 inference(not_proxy_clausification,[],[f250])).
% 2.23/0.67 thf(f250,plain,(
% 2.23/0.67 ($true = (sK0 @ sK2 @ sK13)) | ((~ (sK0 @ sK4 @ sK14)) = $false)),
% 2.23/0.67 inference(binary_proxy_clausification,[],[f248])).
% 2.23/0.67 thf(f248,plain,(
% 2.23/0.67 ($false = ((~ (sK0 @ sK4 @ sK14)) | (sK10 @ sK14))) | ($true = (sK0 @ sK2 @ sK13))),
% 2.23/0.67 inference(beta_eta_normalization,[],[f247])).
% 2.23/0.67 thf(f247,plain,(
% 2.23/0.67 (((^[Y0 : $i]: ((~ (sK0 @ sK4 @ Y0)) | (sK10 @ Y0))) @ sK14) = $false) | ($true = (sK0 @ sK2 @ sK13))),
% 2.23/0.67 inference(sigma_clausification,[],[f246])).
% 2.23/0.67 thf(f246,plain,(
% 2.23/0.67 ((!! @ $i @ (^[Y0 : $i]: ((~ (sK0 @ sK4 @ Y0)) | (sK10 @ Y0)))) = $false) | ($true = (sK0 @ sK2 @ sK13))),
% 2.23/0.67 inference(not_proxy_clausification,[],[f245])).
% 2.23/0.67 thf(f245,plain,(
% 2.23/0.67 ((~ (sK0 @ sK2 @ sK13)) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((~ (sK0 @ sK4 @ Y0)) | (sK10 @ Y0)))) = $false)),
% 2.23/0.67 inference(binary_proxy_clausification,[],[f243])).
% 2.23/0.67 thf(f243,plain,(
% 2.23/0.67 (((~ (sK0 @ sK2 @ sK13)) | (~ (sK3 @ sK13))) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((~ (sK0 @ sK4 @ Y0)) | (sK10 @ Y0)))) = $false)),
% 2.23/0.67 inference(beta_eta_normalization,[],[f242])).
% 2.23/0.67 thf(f242,plain,(
% 2.23/0.67 ((!! @ $i @ (^[Y0 : $i]: ((~ (sK0 @ sK4 @ Y0)) | (sK10 @ Y0)))) = $false) | (((^[Y0 : $i]: ((~ (sK0 @ sK2 @ Y0)) | (~ (sK3 @ Y0)))) @ sK13) = $false)),
% 2.23/0.67 inference(sigma_clausification,[],[f214])).
% 2.23/0.67 thf(f214,plain,(
% 2.23/0.67 ((!! @ $i @ (^[Y0 : $i]: ((~ (sK0 @ sK2 @ Y0)) | (~ (sK3 @ Y0))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((~ (sK0 @ sK4 @ Y0)) | (sK10 @ Y0)))) = $false)),
% 2.23/0.67 inference(binary_proxy_clausification,[],[f213])).
% 2.23/0.67 thf(f355,plain,(
% 2.23/0.67 spl1_10 | spl1_11),
% 2.23/0.67 inference(avatar_split_clause,[],[f249,f352,f348])).
% 2.23/0.67 thf(f249,plain,(
% 2.23/0.67 ($true = (sK0 @ sK2 @ sK13)) | ((sK10 @ sK14) = $false)),
% 2.23/0.67 inference(binary_proxy_clausification,[],[f248])).
% 2.23/0.67 thf(f346,plain,(
% 2.23/0.67 spl1_8 | spl1_9),
% 2.23/0.67 inference(avatar_split_clause,[],[f257,f343,f338])).
% 2.23/0.67 thf(f257,plain,(
% 2.23/0.67 ($true = (sK3 @ sK13)) | ($true = (sK0 @ sK4 @ sK15))),
% 2.23/0.67 inference(not_proxy_clausification,[],[f256])).
% 2.23/0.67 thf(f256,plain,(
% 2.23/0.67 ((~ (sK0 @ sK4 @ sK15)) = $false) | ($true = (sK3 @ sK13))),
% 2.23/0.67 inference(binary_proxy_clausification,[],[f254])).
% 2.23/0.67 thf(f254,plain,(
% 2.23/0.67 ($true = (sK3 @ sK13)) | (((~ (sK0 @ sK4 @ sK15)) | (sK10 @ sK15)) = $false)),
% 2.23/0.67 inference(beta_eta_normalization,[],[f253])).
% 2.23/0.67 thf(f253,plain,(
% 2.23/0.67 ($true = (sK3 @ sK13)) | ($false = ((^[Y0 : $i]: ((~ (sK0 @ sK4 @ Y0)) | (sK10 @ Y0))) @ sK15))),
% 2.23/0.67 inference(sigma_clausification,[],[f252])).
% 2.23/0.67 thf(f252,plain,(
% 2.23/0.67 ((!! @ $i @ (^[Y0 : $i]: ((~ (sK0 @ sK4 @ Y0)) | (sK10 @ Y0)))) = $false) | ($true = (sK3 @ sK13))),
% 2.23/0.67 inference(not_proxy_clausification,[],[f244])).
% 2.23/0.67 thf(f244,plain,(
% 2.23/0.67 ((~ (sK3 @ sK13)) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((~ (sK0 @ sK4 @ Y0)) | (sK10 @ Y0)))) = $false)),
% 2.23/0.67 inference(binary_proxy_clausification,[],[f243])).
% 2.23/0.67 thf(f341,plain,(
% 2.23/0.67 spl1_7 | spl1_8),
% 2.23/0.67 inference(avatar_split_clause,[],[f255,f338,f334])).
% 2.23/0.67 thf(f255,plain,(
% 2.23/0.67 ((sK10 @ sK15) = $false) | ($true = (sK3 @ sK13))),
% 2.23/0.67 inference(binary_proxy_clausification,[],[f254])).
% 2.23/0.67 thf(f332,plain,(
% 2.23/0.67 spl1_6 | spl1_5),
% 2.23/0.67 inference(avatar_split_clause,[],[f296,f326,f330])).
% 2.23/0.67 thf(f296,plain,(
% 2.23/0.67 ( ! [X2 : $i > $o,X3 : $i,X1 : $i,X8 : $i,X6 : $i,X7 : $i,X4 : $i,X5 : $i > $o] : (($true = (X2 @ X3)) | ($true = (sK0 @ X6 @ (sK16 @ X5 @ X6))) | ((X5 @ X7) = $false) | ((sK0 @ X1 @ X8) = $false) | ($true = (sK0 @ X8 @ (sK17 @ X8 @ X2))) | ((sK0 @ X4 @ X6) = $false) | ((sK0 @ X4 @ X7) = $false) | ((sK0 @ X1 @ X3) = $false)) )),
% 2.23/0.67 inference(not_proxy_clausification,[],[f295])).
% 2.23/0.67 thf(f295,plain,(
% 2.23/0.67 ( ! [X2 : $i > $o,X3 : $i,X1 : $i,X8 : $i,X6 : $i,X7 : $i,X4 : $i,X5 : $i > $o] : (((sK0 @ X4 @ X7) = $false) | ((sK0 @ X1 @ X3) = $false) | ((X5 @ X7) = $false) | ((sK0 @ X4 @ X6) = $false) | ($true = (sK0 @ X6 @ (sK16 @ X5 @ X6))) | ($true = (sK0 @ X8 @ (sK17 @ X8 @ X2))) | ($true = (~ (sK0 @ X1 @ X8))) | ($true = (X2 @ X3))) )),
% 2.23/0.67 inference(not_proxy_clausification,[],[f294])).
% 2.23/0.67 thf(f294,plain,(
% 2.23/0.67 ( ! [X2 : $i > $o,X3 : $i,X1 : $i,X8 : $i,X6 : $i,X7 : $i,X4 : $i,X5 : $i > $o] : (((~ (sK0 @ X6 @ (sK16 @ X5 @ X6))) = $false) | ((sK0 @ X4 @ X6) = $false) | ($true = (X2 @ X3)) | ((sK0 @ X4 @ X7) = $false) | ((X5 @ X7) = $false) | ($true = (~ (sK0 @ X1 @ X8))) | ($true = (sK0 @ X8 @ (sK17 @ X8 @ X2))) | ((sK0 @ X1 @ X3) = $false)) )),
% 2.23/0.67 inference(not_proxy_clausification,[],[f293])).
% 2.23/0.67 thf(f293,plain,(
% 2.23/0.67 ( ! [X2 : $i > $o,X3 : $i,X1 : $i,X8 : $i,X6 : $i,X7 : $i,X4 : $i,X5 : $i > $o] : (((~ (sK0 @ X8 @ (sK17 @ X8 @ X2))) = $false) | ((~ (sK0 @ X6 @ (sK16 @ X5 @ X6))) = $false) | ($true = (X2 @ X3)) | ($true = (~ (sK0 @ X1 @ X8))) | ((sK0 @ X4 @ X7) = $false) | ((X5 @ X7) = $false) | ((sK0 @ X1 @ X3) = $false) | ((sK0 @ X4 @ X6) = $false)) )),
% 2.23/0.67 inference(not_proxy_clausification,[],[f292])).
% 2.23/0.67 thf(f292,plain,(
% 2.23/0.67 ( ! [X2 : $i > $o,X3 : $i,X1 : $i,X8 : $i,X6 : $i,X7 : $i,X4 : $i,X5 : $i > $o] : (((~ (sK0 @ X4 @ X6)) = $true) | ((X5 @ X7) = $false) | ($true = (X2 @ X3)) | ((~ (sK0 @ X8 @ (sK17 @ X8 @ X2))) = $false) | ((sK0 @ X1 @ X3) = $false) | ($true = (~ (sK0 @ X1 @ X8))) | ((~ (sK0 @ X6 @ (sK16 @ X5 @ X6))) = $false) | ((sK0 @ X4 @ X7) = $false)) )),
% 2.23/0.67 inference(not_proxy_clausification,[],[f291])).
% 2.23/0.67 thf(f291,plain,(
% 2.23/0.67 ( ! [X2 : $i > $o,X3 : $i,X1 : $i,X8 : $i,X6 : $i,X7 : $i,X4 : $i,X5 : $i > $o] : (((~ (sK0 @ X4 @ X7)) = $true) | ($true = (X2 @ X3)) | ((X5 @ X7) = $false) | ((sK0 @ X1 @ X3) = $false) | ((~ (sK0 @ X8 @ (sK17 @ X8 @ X2))) = $false) | ($true = (~ (sK0 @ X1 @ X8))) | ((~ (sK0 @ X4 @ X6)) = $true) | ((~ (sK0 @ X6 @ (sK16 @ X5 @ X6))) = $false)) )),
% 2.23/0.67 inference(binary_proxy_clausification,[],[f289])).
% 2.23/0.67 thf(f289,plain,(
% 2.23/0.67 ( ! [X2 : $i > $o,X3 : $i,X1 : $i,X8 : $i,X6 : $i,X7 : $i,X4 : $i,X5 : $i > $o] : ((((~ (sK0 @ X8 @ (sK17 @ X8 @ X2))) | (X2 @ (sK17 @ X8 @ X2))) = $false) | ($true = (X2 @ X3)) | ((X5 @ X7) = $false) | ((~ (sK0 @ X6 @ (sK16 @ X5 @ X6))) = $false) | ($true = (~ (sK0 @ X1 @ X8))) | ((~ (sK0 @ X4 @ X7)) = $true) | ((sK0 @ X1 @ X3) = $false) | ((~ (sK0 @ X4 @ X6)) = $true)) )),
% 2.23/0.67 inference(beta_eta_normalization,[],[f288])).
% 2.23/0.67 thf(f288,plain,(
% 2.23/0.67 ( ! [X2 : $i > $o,X3 : $i,X1 : $i,X8 : $i,X6 : $i,X7 : $i,X4 : $i,X5 : $i > $o] : (((sK0 @ X1 @ X3) = $false) | (((^[Y0 : $i]: ((~ (sK0 @ X8 @ Y0)) | (X2 @ Y0))) @ (sK17 @ X8 @ X2)) = $false) | ((~ (sK0 @ X6 @ (sK16 @ X5 @ X6))) = $false) | ((X5 @ X7) = $false) | ((~ (sK0 @ X4 @ X7)) = $true) | ((~ (sK0 @ X4 @ X6)) = $true) | ($true = (~ (sK0 @ X1 @ X8))) | ($true = (X2 @ X3))) )),
% 2.23/0.67 inference(sigma_clausification,[],[f287])).
% 2.23/0.67 thf(f287,plain,(
% 2.23/0.67 ( ! [X2 : $i > $o,X3 : $i,X1 : $i,X8 : $i,X6 : $i,X7 : $i,X4 : $i,X5 : $i > $o] : (((X5 @ X7) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((~ (sK0 @ X8 @ Y0)) | (X2 @ Y0)))) = $false) | ((sK0 @ X1 @ X3) = $false) | ((~ (sK0 @ X6 @ (sK16 @ X5 @ X6))) = $false) | ($true = (~ (sK0 @ X1 @ X8))) | ($true = (X2 @ X3)) | ((~ (sK0 @ X4 @ X6)) = $true) | ((~ (sK0 @ X4 @ X7)) = $true)) )),
% 2.23/0.67 inference(not_proxy_clausification,[],[f286])).
% 2.23/0.67 thf(f286,plain,(
% 2.23/0.67 ( ! [X2 : $i > $o,X3 : $i,X1 : $i,X8 : $i,X6 : $i,X7 : $i,X4 : $i,X5 : $i > $o] : (((sK0 @ X1 @ X3) = $false) | ($true = (~ (!! @ $i @ (^[Y0 : $i]: ((~ (sK0 @ X8 @ Y0)) | (X2 @ Y0)))))) | ($true = (X2 @ X3)) | ($true = (~ (sK0 @ X1 @ X8))) | ((~ (sK0 @ X4 @ X6)) = $true) | ((~ (sK0 @ X4 @ X7)) = $true) | ((~ (sK0 @ X6 @ (sK16 @ X5 @ X6))) = $false) | ((X5 @ X7) = $false)) )),
% 2.23/0.67 inference(binary_proxy_clausification,[],[f284])).
% 2.23/0.67 thf(f284,plain,(
% 2.23/0.67 ( ! [X2 : $i > $o,X3 : $i,X1 : $i,X8 : $i,X6 : $i,X7 : $i,X4 : $i,X5 : $i > $o] : ((((~ (sK0 @ X6 @ (sK16 @ X5 @ X6))) | (~ (X5 @ (sK16 @ X5 @ X6)))) = $false) | ($true = (X2 @ X3)) | ((~ (sK0 @ X4 @ X7)) = $true) | ((sK0 @ X1 @ X3) = $false) | ($true = (~ (!! @ $i @ (^[Y0 : $i]: ((~ (sK0 @ X8 @ Y0)) | (X2 @ Y0)))))) | ((X5 @ X7) = $false) | ($true = (~ (sK0 @ X1 @ X8))) | ((~ (sK0 @ X4 @ X6)) = $true)) )),
% 2.23/0.67 inference(beta_eta_normalization,[],[f283])).
% 2.23/0.67 thf(f283,plain,(
% 2.23/0.67 ( ! [X2 : $i > $o,X3 : $i,X1 : $i,X8 : $i,X6 : $i,X7 : $i,X4 : $i,X5 : $i > $o] : (((X5 @ X7) = $false) | ($true = (X2 @ X3)) | ($true = (~ (!! @ $i @ (^[Y0 : $i]: ((~ (sK0 @ X8 @ Y0)) | (X2 @ Y0)))))) | ($true = (~ (sK0 @ X1 @ X8))) | ((sK0 @ X1 @ X3) = $false) | ((~ (sK0 @ X4 @ X7)) = $true) | ((~ (sK0 @ X4 @ X6)) = $true) | (((^[Y0 : $i]: ((~ (sK0 @ X6 @ Y0)) | (~ (X5 @ Y0)))) @ (sK16 @ X5 @ X6)) = $false)) )),
% 2.23/0.67 inference(sigma_clausification,[],[f282])).
% 2.23/0.67 thf(f282,plain,(
% 2.23/0.67 ( ! [X2 : $i > $o,X3 : $i,X1 : $i,X8 : $i,X6 : $i,X7 : $i,X4 : $i,X5 : $i > $o] : (((!! @ $i @ (^[Y0 : $i]: ((~ (sK0 @ X6 @ Y0)) | (~ (X5 @ Y0))))) = $false) | ((~ (sK0 @ X4 @ X7)) = $true) | ((sK0 @ X1 @ X3) = $false) | ($true = (~ (sK0 @ X1 @ X8))) | ($true = (~ (!! @ $i @ (^[Y0 : $i]: ((~ (sK0 @ X8 @ Y0)) | (X2 @ Y0)))))) | ((~ (sK0 @ X4 @ X6)) = $true) | ((X5 @ X7) = $false) | ($true = (X2 @ X3))) )),
% 2.23/0.67 inference(binary_proxy_clausification,[],[f281])).
% 2.23/0.67 thf(f281,plain,(
% 2.23/0.67 ( ! [X2 : $i > $o,X3 : $i,X1 : $i,X8 : $i,X6 : $i,X7 : $i,X4 : $i,X5 : $i > $o] : (($true = ((~ (sK0 @ X1 @ X8)) | (~ (!! @ $i @ (^[Y0 : $i]: ((~ (sK0 @ X8 @ Y0)) | (X2 @ Y0))))))) | ((~ (sK0 @ X4 @ X7)) = $true) | ((~ (sK0 @ X4 @ X6)) = $true) | ((!! @ $i @ (^[Y0 : $i]: ((~ (sK0 @ X6 @ Y0)) | (~ (X5 @ Y0))))) = $false) | ((X5 @ X7) = $false) | ((sK0 @ X1 @ X3) = $false) | ($true = (X2 @ X3))) )),
% 2.23/0.67 inference(not_proxy_clausification,[],[f280])).
% 2.23/0.67 thf(f280,plain,(
% 2.23/0.67 ( ! [X2 : $i > $o,X3 : $i,X1 : $i,X8 : $i,X6 : $i,X7 : $i,X4 : $i,X5 : $i > $o] : (((~ (!! @ $i @ (^[Y0 : $i]: ((~ (sK0 @ X6 @ Y0)) | (~ (X5 @ Y0)))))) = $true) | ((X5 @ X7) = $false) | ((~ (sK0 @ X4 @ X7)) = $true) | ((sK0 @ X1 @ X3) = $false) | ((~ (sK0 @ X4 @ X6)) = $true) | ($true = ((~ (sK0 @ X1 @ X8)) | (~ (!! @ $i @ (^[Y0 : $i]: ((~ (sK0 @ X8 @ Y0)) | (X2 @ Y0))))))) | ($true = (X2 @ X3))) )),
% 2.23/0.67 inference(binary_proxy_clausification,[],[f279])).
% 2.23/0.67 thf(f279,plain,(
% 2.23/0.67 ( ! [X2 : $i > $o,X3 : $i,X1 : $i,X8 : $i,X6 : $i,X7 : $i,X4 : $i,X5 : $i > $o] : (((X5 @ X7) = $false) | ($true = ((~ (sK0 @ X4 @ X6)) | (~ (!! @ $i @ (^[Y0 : $i]: ((~ (sK0 @ X6 @ Y0)) | (~ (X5 @ Y0)))))))) | ($true = (X2 @ X3)) | ((~ (sK0 @ X4 @ X7)) = $true) | ($true = ((~ (sK0 @ X1 @ X8)) | (~ (!! @ $i @ (^[Y0 : $i]: ((~ (sK0 @ X8 @ Y0)) | (X2 @ Y0))))))) | ((sK0 @ X1 @ X3) = $false)) )),
% 2.23/0.67 inference(not_proxy_clausification,[],[f278])).
% 2.23/0.67 thf(f278,plain,(
% 2.23/0.67 ( ! [X2 : $i > $o,X3 : $i,X1 : $i,X8 : $i,X6 : $i,X7 : $i,X4 : $i,X5 : $i > $o] : (($true = (~ (X5 @ X7))) | ((sK0 @ X1 @ X3) = $false) | ((~ (sK0 @ X4 @ X7)) = $true) | ($true = ((~ (sK0 @ X1 @ X8)) | (~ (!! @ $i @ (^[Y0 : $i]: ((~ (sK0 @ X8 @ Y0)) | (X2 @ Y0))))))) | ($true = ((~ (sK0 @ X4 @ X6)) | (~ (!! @ $i @ (^[Y0 : $i]: ((~ (sK0 @ X6 @ Y0)) | (~ (X5 @ Y0)))))))) | ($true = (X2 @ X3))) )),
% 2.23/0.67 inference(binary_proxy_clausification,[],[f277])).
% 2.23/0.67 thf(f277,plain,(
% 2.23/0.67 ( ! [X2 : $i > $o,X3 : $i,X1 : $i,X8 : $i,X6 : $i,X7 : $i,X4 : $i,X5 : $i > $o] : (($true = ((~ (sK0 @ X4 @ X7)) | (~ (X5 @ X7)))) | ($true = (X2 @ X3)) | ($true = ((~ (sK0 @ X1 @ X8)) | (~ (!! @ $i @ (^[Y0 : $i]: ((~ (sK0 @ X8 @ Y0)) | (X2 @ Y0))))))) | ((sK0 @ X1 @ X3) = $false) | ($true = ((~ (sK0 @ X4 @ X6)) | (~ (!! @ $i @ (^[Y0 : $i]: ((~ (sK0 @ X6 @ Y0)) | (~ (X5 @ Y0))))))))) )),
% 2.23/0.67 inference(beta_eta_normalization,[],[f276])).
% 2.23/0.67 thf(f276,plain,(
% 2.23/0.67 ( ! [X2 : $i > $o,X3 : $i,X1 : $i,X8 : $i,X6 : $i,X7 : $i,X4 : $i,X5 : $i > $o] : (($true = ((^[Y0 : $i]: ((~ (sK0 @ X1 @ Y0)) | (~ (!! @ $i @ (^[Y1 : $i]: ((~ (sK0 @ Y0 @ Y1)) | (X2 @ Y1))))))) @ X8)) | ((sK0 @ X1 @ X3) = $false) | ($true = (X2 @ X3)) | ($true = ((~ (sK0 @ X4 @ X7)) | (~ (X5 @ X7)))) | ($true = ((~ (sK0 @ X4 @ X6)) | (~ (!! @ $i @ (^[Y0 : $i]: ((~ (sK0 @ X6 @ Y0)) | (~ (X5 @ Y0))))))))) )),
% 2.23/0.67 inference(pi_clausification,[],[f275])).
% 2.23/0.67 thf(f275,plain,(
% 2.23/0.67 ( ! [X2 : $i > $o,X3 : $i,X1 : $i,X6 : $i,X7 : $i,X4 : $i,X5 : $i > $o] : (($true = (!! @ $i @ (^[Y0 : $i]: ((~ (sK0 @ X1 @ Y0)) | (~ (!! @ $i @ (^[Y1 : $i]: ((~ (sK0 @ Y0 @ Y1)) | (X2 @ Y1))))))))) | ($true = ((~ (sK0 @ X4 @ X7)) | (~ (X5 @ X7)))) | ($true = (X2 @ X3)) | ((sK0 @ X1 @ X3) = $false) | ($true = ((~ (sK0 @ X4 @ X6)) | (~ (!! @ $i @ (^[Y0 : $i]: ((~ (sK0 @ X6 @ Y0)) | (~ (X5 @ Y0))))))))) )),
% 2.23/0.67 inference(beta_eta_normalization,[],[f274])).
% 2.23/0.67 thf(f274,plain,(
% 2.23/0.67 ( ! [X2 : $i > $o,X3 : $i,X1 : $i,X6 : $i,X7 : $i,X4 : $i,X5 : $i > $o] : (($true = (X2 @ X3)) | ($true = ((^[Y0 : $i]: ((~ (sK0 @ X4 @ Y0)) | (~ (X5 @ Y0)))) @ X7)) | ($true = (!! @ $i @ (^[Y0 : $i]: ((~ (sK0 @ X1 @ Y0)) | (~ (!! @ $i @ (^[Y1 : $i]: ((~ (sK0 @ Y0 @ Y1)) | (X2 @ Y1))))))))) | ($true = ((~ (sK0 @ X4 @ X6)) | (~ (!! @ $i @ (^[Y0 : $i]: ((~ (sK0 @ X6 @ Y0)) | (~ (X5 @ Y0)))))))) | ((sK0 @ X1 @ X3) = $false)) )),
% 2.23/0.67 inference(pi_clausification,[],[f273])).
% 2.23/0.67 thf(f273,plain,(
% 2.23/0.67 ( ! [X2 : $i > $o,X3 : $i,X1 : $i,X6 : $i,X4 : $i,X5 : $i > $o] : (((!! @ $i @ (^[Y0 : $i]: ((~ (sK0 @ X4 @ Y0)) | (~ (X5 @ Y0))))) = $true) | ((sK0 @ X1 @ X3) = $false) | ($true = (!! @ $i @ (^[Y0 : $i]: ((~ (sK0 @ X1 @ Y0)) | (~ (!! @ $i @ (^[Y1 : $i]: ((~ (sK0 @ Y0 @ Y1)) | (X2 @ Y1))))))))) | ($true = ((~ (sK0 @ X4 @ X6)) | (~ (!! @ $i @ (^[Y0 : $i]: ((~ (sK0 @ X6 @ Y0)) | (~ (X5 @ Y0)))))))) | ($true = (X2 @ X3))) )),
% 2.23/0.67 inference(beta_eta_normalization,[],[f272])).
% 2.23/0.67 thf(f272,plain,(
% 2.23/0.67 ( ! [X2 : $i > $o,X3 : $i,X1 : $i,X6 : $i,X4 : $i,X5 : $i > $o] : (($true = (X2 @ X3)) | ((!! @ $i @ (^[Y0 : $i]: ((~ (sK0 @ X4 @ Y0)) | (~ (X5 @ Y0))))) = $true) | ($true = ((^[Y0 : $i]: ((~ (sK0 @ X4 @ Y0)) | (~ (!! @ $i @ (^[Y1 : $i]: ((~ (sK0 @ Y0 @ Y1)) | (~ (X5 @ Y1)))))))) @ X6)) | ($true = (!! @ $i @ (^[Y0 : $i]: ((~ (sK0 @ X1 @ Y0)) | (~ (!! @ $i @ (^[Y1 : $i]: ((~ (sK0 @ Y0 @ Y1)) | (X2 @ Y1))))))))) | ((sK0 @ X1 @ X3) = $false)) )),
% 2.23/0.67 inference(pi_clausification,[],[f271])).
% 2.23/0.67 thf(f271,plain,(
% 2.23/0.67 ( ! [X2 : $i > $o,X3 : $i,X1 : $i,X4 : $i,X5 : $i > $o] : (((!! @ $i @ (^[Y0 : $i]: ((~ (sK0 @ X4 @ Y0)) | (~ (!! @ $i @ (^[Y1 : $i]: ((~ (sK0 @ Y0 @ Y1)) | (~ (X5 @ Y1))))))))) = $true) | ((sK0 @ X1 @ X3) = $false) | ($true = (X2 @ X3)) | ($true = (!! @ $i @ (^[Y0 : $i]: ((~ (sK0 @ X1 @ Y0)) | (~ (!! @ $i @ (^[Y1 : $i]: ((~ (sK0 @ Y0 @ Y1)) | (X2 @ Y1))))))))) | ((!! @ $i @ (^[Y0 : $i]: ((~ (sK0 @ X4 @ Y0)) | (~ (X5 @ Y0))))) = $true)) )),
% 2.23/0.67 inference(binary_proxy_clausification,[],[f270])).
% 2.23/0.67 thf(f270,plain,(
% 2.23/0.67 ( ! [X2 : $i > $o,X3 : $i,X1 : $i,X4 : $i,X5 : $i > $o] : (($true = (X2 @ X3)) | ((sK0 @ X1 @ X3) = $false) | ($true = ((!! @ $i @ (^[Y0 : $i]: ((~ (sK0 @ X4 @ Y0)) | (~ (!! @ $i @ (^[Y1 : $i]: ((~ (sK0 @ Y0 @ Y1)) | (~ (X5 @ Y1))))))))) | (!! @ $i @ (^[Y0 : $i]: ((~ (sK0 @ X4 @ Y0)) | (~ (X5 @ Y0))))))) | ($true = (!! @ $i @ (^[Y0 : $i]: ((~ (sK0 @ X1 @ Y0)) | (~ (!! @ $i @ (^[Y1 : $i]: ((~ (sK0 @ Y0 @ Y1)) | (X2 @ Y1)))))))))) )),
% 2.23/0.67 inference(not_proxy_clausification,[],[f269])).
% 2.23/0.67 thf(f269,plain,(
% 2.23/0.67 ( ! [X2 : $i > $o,X3 : $i,X1 : $i,X4 : $i,X5 : $i > $o] : (($true = (~ (sK0 @ X1 @ X3))) | ($true = ((!! @ $i @ (^[Y0 : $i]: ((~ (sK0 @ X4 @ Y0)) | (~ (!! @ $i @ (^[Y1 : $i]: ((~ (sK0 @ Y0 @ Y1)) | (~ (X5 @ Y1))))))))) | (!! @ $i @ (^[Y0 : $i]: ((~ (sK0 @ X4 @ Y0)) | (~ (X5 @ Y0))))))) | ($true = (!! @ $i @ (^[Y0 : $i]: ((~ (sK0 @ X1 @ Y0)) | (~ (!! @ $i @ (^[Y1 : $i]: ((~ (sK0 @ Y0 @ Y1)) | (X2 @ Y1))))))))) | ($true = (X2 @ X3))) )),
% 2.23/0.67 inference(binary_proxy_clausification,[],[f268])).
% 2.23/0.67 thf(f268,plain,(
% 2.23/0.67 ( ! [X2 : $i > $o,X3 : $i,X1 : $i,X4 : $i,X5 : $i > $o] : (($true = ((~ (sK0 @ X1 @ X3)) | (X2 @ X3))) | ($true = ((!! @ $i @ (^[Y0 : $i]: ((~ (sK0 @ X4 @ Y0)) | (~ (!! @ $i @ (^[Y1 : $i]: ((~ (sK0 @ Y0 @ Y1)) | (~ (X5 @ Y1))))))))) | (!! @ $i @ (^[Y0 : $i]: ((~ (sK0 @ X4 @ Y0)) | (~ (X5 @ Y0))))))) | ($true = (!! @ $i @ (^[Y0 : $i]: ((~ (sK0 @ X1 @ Y0)) | (~ (!! @ $i @ (^[Y1 : $i]: ((~ (sK0 @ Y0 @ Y1)) | (X2 @ Y1)))))))))) )),
% 2.23/0.67 inference(beta_eta_normalization,[],[f267])).
% 2.23/0.67 thf(f267,plain,(
% 2.23/0.67 ( ! [X2 : $i > $o,X3 : $i,X1 : $i,X4 : $i,X5 : $i > $o] : (($true = ((~ (sK0 @ X1 @ X3)) | (X2 @ X3))) | ($true = ((^[Y0 : $i > $o]: ((!! @ $i @ (^[Y1 : $i]: ((~ (sK0 @ X4 @ Y1)) | (~ (!! @ $i @ (^[Y2 : $i]: ((~ (sK0 @ Y1 @ Y2)) | (~ (Y0 @ Y2))))))))) | (!! @ $i @ (^[Y1 : $i]: ((~ (sK0 @ X4 @ Y1)) | (~ (Y0 @ Y1))))))) @ X5)) | ($true = (!! @ $i @ (^[Y0 : $i]: ((~ (sK0 @ X1 @ Y0)) | (~ (!! @ $i @ (^[Y1 : $i]: ((~ (sK0 @ Y0 @ Y1)) | (X2 @ Y1)))))))))) )),
% 2.23/0.67 inference(pi_clausification,[],[f266])).
% 2.23/0.67 thf(f266,plain,(
% 2.23/0.67 ( ! [X2 : $i > $o,X3 : $i,X1 : $i,X4 : $i] : (((!! @ ($i > $o) @ (^[Y0 : $i > $o]: ((!! @ $i @ (^[Y1 : $i]: ((~ (sK0 @ X4 @ Y1)) | (~ (!! @ $i @ (^[Y2 : $i]: ((~ (sK0 @ Y1 @ Y2)) | (~ (Y0 @ Y2))))))))) | (!! @ $i @ (^[Y1 : $i]: ((~ (sK0 @ X4 @ Y1)) | (~ (Y0 @ Y1)))))))) = $true) | ($true = ((~ (sK0 @ X1 @ X3)) | (X2 @ X3))) | ($true = (!! @ $i @ (^[Y0 : $i]: ((~ (sK0 @ X1 @ Y0)) | (~ (!! @ $i @ (^[Y1 : $i]: ((~ (sK0 @ Y0 @ Y1)) | (X2 @ Y1)))))))))) )),
% 2.23/0.67 inference(beta_eta_normalization,[],[f265])).
% 2.23/0.67 thf(f265,plain,(
% 2.23/0.67 ( ! [X2 : $i > $o,X3 : $i,X1 : $i,X4 : $i] : ((((^[Y0 : $i]: (!! @ ($i > $o) @ (^[Y1 : $i > $o]: ((!! @ $i @ (^[Y2 : $i]: ((~ (sK0 @ Y0 @ Y2)) | (~ (!! @ $i @ (^[Y3 : $i]: ((~ (sK0 @ Y2 @ Y3)) | (~ (Y1 @ Y3))))))))) | (!! @ $i @ (^[Y2 : $i]: ((~ (sK0 @ Y0 @ Y2)) | (~ (Y1 @ Y2))))))))) @ X4) = $true) | ($true = ((~ (sK0 @ X1 @ X3)) | (X2 @ X3))) | ($true = (!! @ $i @ (^[Y0 : $i]: ((~ (sK0 @ X1 @ Y0)) | (~ (!! @ $i @ (^[Y1 : $i]: ((~ (sK0 @ Y0 @ Y1)) | (X2 @ Y1)))))))))) )),
% 2.23/0.67 inference(pi_clausification,[],[f264])).
% 2.23/0.67 thf(f264,plain,(
% 2.23/0.67 ( ! [X2 : $i > $o,X3 : $i,X1 : $i] : (($true = (!! @ $i @ (^[Y0 : $i]: (!! @ ($i > $o) @ (^[Y1 : $i > $o]: ((!! @ $i @ (^[Y2 : $i]: ((~ (sK0 @ Y0 @ Y2)) | (~ (!! @ $i @ (^[Y3 : $i]: ((~ (sK0 @ Y2 @ Y3)) | (~ (Y1 @ Y3))))))))) | (!! @ $i @ (^[Y2 : $i]: ((~ (sK0 @ Y0 @ Y2)) | (~ (Y1 @ Y2))))))))))) | ($true = ((~ (sK0 @ X1 @ X3)) | (X2 @ X3))) | ($true = (!! @ $i @ (^[Y0 : $i]: ((~ (sK0 @ X1 @ Y0)) | (~ (!! @ $i @ (^[Y1 : $i]: ((~ (sK0 @ Y0 @ Y1)) | (X2 @ Y1)))))))))) )),
% 2.23/0.67 inference(beta_eta_normalization,[],[f263])).
% 2.23/0.67 thf(f263,plain,(
% 2.23/0.67 ( ! [X2 : $i > $o,X3 : $i,X1 : $i] : (($true = ((^[Y0 : $i]: ((~ (sK0 @ X1 @ Y0)) | (X2 @ Y0))) @ X3)) | ($true = (!! @ $i @ (^[Y0 : $i]: ((~ (sK0 @ X1 @ Y0)) | (~ (!! @ $i @ (^[Y1 : $i]: ((~ (sK0 @ Y0 @ Y1)) | (X2 @ Y1))))))))) | ($true = (!! @ $i @ (^[Y0 : $i]: (!! @ ($i > $o) @ (^[Y1 : $i > $o]: ((!! @ $i @ (^[Y2 : $i]: ((~ (sK0 @ Y0 @ Y2)) | (~ (!! @ $i @ (^[Y3 : $i]: ((~ (sK0 @ Y2 @ Y3)) | (~ (Y1 @ Y3))))))))) | (!! @ $i @ (^[Y2 : $i]: ((~ (sK0 @ Y0 @ Y2)) | (~ (Y1 @ Y2)))))))))))) )),
% 2.23/0.67 inference(pi_clausification,[],[f262])).
% 2.23/0.67 thf(f262,plain,(
% 2.23/0.67 ( ! [X2 : $i > $o,X1 : $i] : (((!! @ $i @ (^[Y0 : $i]: ((~ (sK0 @ X1 @ Y0)) | (X2 @ Y0)))) = $true) | ($true = (!! @ $i @ (^[Y0 : $i]: (!! @ ($i > $o) @ (^[Y1 : $i > $o]: ((!! @ $i @ (^[Y2 : $i]: ((~ (sK0 @ Y0 @ Y2)) | (~ (!! @ $i @ (^[Y3 : $i]: ((~ (sK0 @ Y2 @ Y3)) | (~ (Y1 @ Y3))))))))) | (!! @ $i @ (^[Y2 : $i]: ((~ (sK0 @ Y0 @ Y2)) | (~ (Y1 @ Y2))))))))))) | ($true = (!! @ $i @ (^[Y0 : $i]: ((~ (sK0 @ X1 @ Y0)) | (~ (!! @ $i @ (^[Y1 : $i]: ((~ (sK0 @ Y0 @ Y1)) | (X2 @ Y1)))))))))) )),
% 2.23/0.67 inference(binary_proxy_clausification,[],[f261])).
% 2.23/0.67 thf(f261,plain,(
% 2.23/0.67 ( ! [X2 : $i > $o,X1 : $i] : (($true = ((!! @ $i @ (^[Y0 : $i]: ((~ (sK0 @ X1 @ Y0)) | (~ (!! @ $i @ (^[Y1 : $i]: ((~ (sK0 @ Y0 @ Y1)) | (X2 @ Y1)))))))) | (!! @ $i @ (^[Y0 : $i]: ((~ (sK0 @ X1 @ Y0)) | (X2 @ Y0)))))) | ($true = (!! @ $i @ (^[Y0 : $i]: (!! @ ($i > $o) @ (^[Y1 : $i > $o]: ((!! @ $i @ (^[Y2 : $i]: ((~ (sK0 @ Y0 @ Y2)) | (~ (!! @ $i @ (^[Y3 : $i]: ((~ (sK0 @ Y2 @ Y3)) | (~ (Y1 @ Y3))))))))) | (!! @ $i @ (^[Y2 : $i]: ((~ (sK0 @ Y0 @ Y2)) | (~ (Y1 @ Y2)))))))))))) )),
% 2.23/0.67 inference(beta_eta_normalization,[],[f260])).
% 2.23/0.67 thf(f260,plain,(
% 2.23/0.67 ( ! [X2 : $i > $o,X1 : $i] : (($true = (!! @ $i @ (^[Y0 : $i]: (!! @ ($i > $o) @ (^[Y1 : $i > $o]: ((!! @ $i @ (^[Y2 : $i]: ((~ (sK0 @ Y0 @ Y2)) | (~ (!! @ $i @ (^[Y3 : $i]: ((~ (sK0 @ Y2 @ Y3)) | (~ (Y1 @ Y3))))))))) | (!! @ $i @ (^[Y2 : $i]: ((~ (sK0 @ Y0 @ Y2)) | (~ (Y1 @ Y2))))))))))) | ($true = ((^[Y0 : $i > $o]: ((!! @ $i @ (^[Y1 : $i]: ((~ (sK0 @ X1 @ Y1)) | (~ (!! @ $i @ (^[Y2 : $i]: ((~ (sK0 @ Y1 @ Y2)) | (Y0 @ Y2)))))))) | (!! @ $i @ (^[Y1 : $i]: ((~ (sK0 @ X1 @ Y1)) | (Y0 @ Y1)))))) @ X2))) )),
% 2.23/0.67 inference(pi_clausification,[],[f259])).
% 2.23/0.67 thf(f259,plain,(
% 2.23/0.67 ( ! [X1 : $i] : (($true = (!! @ ($i > $o) @ (^[Y0 : $i > $o]: ((!! @ $i @ (^[Y1 : $i]: ((~ (sK0 @ X1 @ Y1)) | (~ (!! @ $i @ (^[Y2 : $i]: ((~ (sK0 @ Y1 @ Y2)) | (Y0 @ Y2)))))))) | (!! @ $i @ (^[Y1 : $i]: ((~ (sK0 @ X1 @ Y1)) | (Y0 @ Y1)))))))) | ($true = (!! @ $i @ (^[Y0 : $i]: (!! @ ($i > $o) @ (^[Y1 : $i > $o]: ((!! @ $i @ (^[Y2 : $i]: ((~ (sK0 @ Y0 @ Y2)) | (~ (!! @ $i @ (^[Y3 : $i]: ((~ (sK0 @ Y2 @ Y3)) | (~ (Y1 @ Y3))))))))) | (!! @ $i @ (^[Y2 : $i]: ((~ (sK0 @ Y0 @ Y2)) | (~ (Y1 @ Y2)))))))))))) )),
% 2.23/0.67 inference(beta_eta_normalization,[],[f258])).
% 2.23/0.67 thf(f258,plain,(
% 2.23/0.67 ( ! [X1 : $i] : ((((^[Y0 : $i]: (!! @ ($i > $o) @ (^[Y1 : $i > $o]: ((!! @ $i @ (^[Y2 : $i]: ((~ (sK0 @ Y0 @ Y2)) | (~ (!! @ $i @ (^[Y3 : $i]: ((~ (sK0 @ Y2 @ Y3)) | (Y1 @ Y3)))))))) | (!! @ $i @ (^[Y2 : $i]: ((~ (sK0 @ Y0 @ Y2)) | (Y1 @ Y2)))))))) @ X1) = $true) | ($true = (!! @ $i @ (^[Y0 : $i]: (!! @ ($i > $o) @ (^[Y1 : $i > $o]: ((!! @ $i @ (^[Y2 : $i]: ((~ (sK0 @ Y0 @ Y2)) | (~ (!! @ $i @ (^[Y3 : $i]: ((~ (sK0 @ Y2 @ Y3)) | (~ (Y1 @ Y3))))))))) | (!! @ $i @ (^[Y2 : $i]: ((~ (sK0 @ Y0 @ Y2)) | (~ (Y1 @ Y2)))))))))))) )),
% 2.23/0.67 inference(pi_clausification,[],[f143])).
% 2.23/0.67 thf(f143,plain,(
% 2.23/0.67 ((!! @ $i @ (^[Y0 : $i]: (!! @ ($i > $o) @ (^[Y1 : $i > $o]: ((!! @ $i @ (^[Y2 : $i]: ((~ (sK0 @ Y0 @ Y2)) | (~ (!! @ $i @ (^[Y3 : $i]: ((~ (sK0 @ Y2 @ Y3)) | (Y1 @ Y3)))))))) | (!! @ $i @ (^[Y2 : $i]: ((~ (sK0 @ Y0 @ Y2)) | (Y1 @ Y2))))))))) = $true) | ($true = (!! @ $i @ (^[Y0 : $i]: (!! @ ($i > $o) @ (^[Y1 : $i > $o]: ((!! @ $i @ (^[Y2 : $i]: ((~ (sK0 @ Y0 @ Y2)) | (~ (!! @ $i @ (^[Y3 : $i]: ((~ (sK0 @ Y2 @ Y3)) | (~ (Y1 @ Y3))))))))) | (!! @ $i @ (^[Y2 : $i]: ((~ (sK0 @ Y0 @ Y2)) | (~ (Y1 @ Y2)))))))))))),
% 2.23/0.67 inference(binary_proxy_clausification,[],[f142])).
% 2.23/0.67 thf(f328,plain,(
% 2.23/0.67 spl1_4 | spl1_5),
% 2.23/0.67 inference(avatar_split_clause,[],[f300,f326,f323])).
% 2.23/0.67 thf(f300,plain,(
% 2.23/0.67 ( ! [X2 : $i > $o,X3 : $i,X1 : $i,X8 : $i,X6 : $i,X7 : $i,X4 : $i,X5 : $i > $o] : (((sK0 @ X4 @ X6) = $false) | ($true = (sK0 @ X6 @ (sK16 @ X5 @ X6))) | ((sK0 @ X4 @ X7) = $false) | ((X5 @ X7) = $false) | ($true = (X2 @ X3)) | ((X2 @ (sK17 @ X8 @ X2)) = $false) | ((sK0 @ X1 @ X8) = $false) | ((sK0 @ X1 @ X3) = $false)) )),
% 2.23/0.67 inference(not_proxy_clausification,[],[f299])).
% 2.23/0.67 thf(f299,plain,(
% 2.23/0.67 ( ! [X2 : $i > $o,X3 : $i,X1 : $i,X8 : $i,X6 : $i,X7 : $i,X4 : $i,X5 : $i > $o] : (((sK0 @ X4 @ X6) = $false) | ($true = (sK0 @ X6 @ (sK16 @ X5 @ X6))) | ($true = (X2 @ X3)) | ((sK0 @ X1 @ X3) = $false) | ((sK0 @ X4 @ X7) = $false) | ((X2 @ (sK17 @ X8 @ X2)) = $false) | ((X5 @ X7) = $false) | ($true = (~ (sK0 @ X1 @ X8)))) )),
% 2.23/0.67 inference(not_proxy_clausification,[],[f298])).
% 2.23/0.67 thf(f298,plain,(
% 2.23/0.67 ( ! [X2 : $i > $o,X3 : $i,X1 : $i,X8 : $i,X6 : $i,X7 : $i,X4 : $i,X5 : $i > $o] : (((sK0 @ X1 @ X3) = $false) | ((X2 @ (sK17 @ X8 @ X2)) = $false) | ((sK0 @ X4 @ X6) = $false) | ((~ (sK0 @ X6 @ (sK16 @ X5 @ X6))) = $false) | ((sK0 @ X4 @ X7) = $false) | ($true = (~ (sK0 @ X1 @ X8))) | ((X5 @ X7) = $false) | ($true = (X2 @ X3))) )),
% 2.23/0.67 inference(not_proxy_clausification,[],[f297])).
% 2.23/0.67 thf(f297,plain,(
% 2.23/0.67 ( ! [X2 : $i > $o,X3 : $i,X1 : $i,X8 : $i,X6 : $i,X7 : $i,X4 : $i,X5 : $i > $o] : (($true = (X2 @ X3)) | ((~ (sK0 @ X4 @ X6)) = $true) | ((X2 @ (sK17 @ X8 @ X2)) = $false) | ((sK0 @ X1 @ X3) = $false) | ((~ (sK0 @ X6 @ (sK16 @ X5 @ X6))) = $false) | ($true = (~ (sK0 @ X1 @ X8))) | ((sK0 @ X4 @ X7) = $false) | ((X5 @ X7) = $false)) )),
% 2.23/0.67 inference(not_proxy_clausification,[],[f290])).
% 2.23/0.67 thf(f290,plain,(
% 2.23/0.67 ( ! [X2 : $i > $o,X3 : $i,X1 : $i,X8 : $i,X6 : $i,X7 : $i,X4 : $i,X5 : $i > $o] : (((~ (sK0 @ X4 @ X7)) = $true) | ((X5 @ X7) = $false) | ((~ (sK0 @ X6 @ (sK16 @ X5 @ X6))) = $false) | ((X2 @ (sK17 @ X8 @ X2)) = $false) | ((sK0 @ X1 @ X3) = $false) | ($true = (X2 @ X3)) | ((~ (sK0 @ X4 @ X6)) = $true) | ($true = (~ (sK0 @ X1 @ X8)))) )),
% 2.23/0.67 inference(binary_proxy_clausification,[],[f289])).
% 2.23/0.67 thf(f321,plain,(
% 2.23/0.67 spl1_2 | spl1_3),
% 2.23/0.67 inference(avatar_split_clause,[],[f310,f319,f315])).
% 2.23/0.67 thf(f310,plain,(
% 2.23/0.67 ( ! [X2 : $i > $o,X3 : $i,X1 : $i,X8 : $i,X6 : $i,X7 : $i,X4 : $i,X5 : $i > $o] : (((X5 @ X7) = $false) | ($true = (X2 @ X3)) | ($true = (sK0 @ X8 @ (sK18 @ X8 @ X2))) | ((sK0 @ X4 @ X6) = $false) | ((X5 @ (sK16 @ X5 @ X6)) = $true) | ((sK0 @ X4 @ X7) = $false) | ((sK0 @ X1 @ X3) = $false) | ((sK0 @ X1 @ X8) = $false)) )),
% 2.23/0.67 inference(not_proxy_clausification,[],[f309])).
% 2.23/0.67 thf(f309,plain,(
% 2.23/0.67 ( ! [X2 : $i > $o,X3 : $i,X1 : $i,X8 : $i,X6 : $i,X7 : $i,X4 : $i,X5 : $i > $o] : (((sK0 @ X4 @ X7) = $false) | ((sK0 @ X4 @ X6) = $false) | ((X5 @ X7) = $false) | ((X5 @ (sK16 @ X5 @ X6)) = $true) | ((sK0 @ X1 @ X3) = $false) | ((sK0 @ X1 @ X8) = $false) | ($true = (X2 @ X3)) | ((~ (sK0 @ X8 @ (sK18 @ X8 @ X2))) = $false)) )),
% 2.23/0.67 inference(binary_proxy_clausification,[],[f307])).
% 2.23/0.67 thf(f307,plain,(
% 2.23/0.67 ( ! [X2 : $i > $o,X3 : $i,X1 : $i,X8 : $i,X6 : $i,X7 : $i,X4 : $i,X5 : $i > $o] : (((X5 @ (sK16 @ X5 @ X6)) = $true) | ((sK0 @ X1 @ X3) = $false) | ((sK0 @ X4 @ X6) = $false) | ((sK0 @ X1 @ X8) = $false) | ($true = (X2 @ X3)) | ((sK0 @ X4 @ X7) = $false) | ($false = ((~ (sK0 @ X8 @ (sK18 @ X8 @ X2))) | (X2 @ (sK18 @ X8 @ X2)))) | ((X5 @ X7) = $false)) )),
% 2.23/0.67 inference(not_proxy_clausification,[],[f306])).
% 2.23/0.67 thf(f306,plain,(
% 2.23/0.67 ( ! [X2 : $i > $o,X3 : $i,X1 : $i,X8 : $i,X6 : $i,X7 : $i,X4 : $i,X5 : $i > $o] : (((~ (sK0 @ X4 @ X6)) = $true) | ($false = ((~ (sK0 @ X8 @ (sK18 @ X8 @ X2))) | (X2 @ (sK18 @ X8 @ X2)))) | ((sK0 @ X4 @ X7) = $false) | ((sK0 @ X1 @ X8) = $false) | ($true = (X2 @ X3)) | ((sK0 @ X1 @ X3) = $false) | ((X5 @ (sK16 @ X5 @ X6)) = $true) | ((X5 @ X7) = $false)) )),
% 2.23/0.67 inference(not_proxy_clausification,[],[f305])).
% 2.23/0.67 thf(f305,plain,(
% 2.23/0.67 ( ! [X2 : $i > $o,X3 : $i,X1 : $i,X8 : $i,X6 : $i,X7 : $i,X4 : $i,X5 : $i > $o] : (((~ (X5 @ (sK16 @ X5 @ X6))) = $false) | ($false = ((~ (sK0 @ X8 @ (sK18 @ X8 @ X2))) | (X2 @ (sK18 @ X8 @ X2)))) | ((~ (sK0 @ X4 @ X6)) = $true) | ($true = (X2 @ X3)) | ((sK0 @ X1 @ X3) = $false) | ((X5 @ X7) = $false) | ((sK0 @ X1 @ X8) = $false) | ((sK0 @ X4 @ X7) = $false)) )),
% 2.23/0.67 inference(not_proxy_clausification,[],[f304])).
% 2.23/0.67 thf(f304,plain,(
% 2.23/0.67 ( ! [X2 : $i > $o,X3 : $i,X1 : $i,X8 : $i,X6 : $i,X7 : $i,X4 : $i,X5 : $i > $o] : (((sK0 @ X1 @ X3) = $false) | ($true = (~ (sK0 @ X1 @ X8))) | ($true = (X2 @ X3)) | ((~ (sK0 @ X4 @ X6)) = $true) | ($false = ((~ (sK0 @ X8 @ (sK18 @ X8 @ X2))) | (X2 @ (sK18 @ X8 @ X2)))) | ((X5 @ X7) = $false) | ((sK0 @ X4 @ X7) = $false) | ((~ (X5 @ (sK16 @ X5 @ X6))) = $false)) )),
% 2.23/0.67 inference(beta_eta_normalization,[],[f303])).
% 2.23/0.67 thf(f303,plain,(
% 2.23/0.67 ( ! [X2 : $i > $o,X3 : $i,X1 : $i,X8 : $i,X6 : $i,X7 : $i,X4 : $i,X5 : $i > $o] : (((sK0 @ X1 @ X3) = $false) | ((sK0 @ X4 @ X7) = $false) | ($true = (~ (sK0 @ X1 @ X8))) | ((~ (X5 @ (sK16 @ X5 @ X6))) = $false) | (((^[Y0 : $i]: ((~ (sK0 @ X8 @ Y0)) | (X2 @ Y0))) @ (sK18 @ X8 @ X2)) = $false) | ($true = (X2 @ X3)) | ((~ (sK0 @ X4 @ X6)) = $true) | ((X5 @ X7) = $false)) )),
% 2.23/0.67 inference(sigma_clausification,[],[f302])).
% 2.23/0.67 thf(f302,plain,(
% 2.23/0.67 ( ! [X2 : $i > $o,X3 : $i,X1 : $i,X8 : $i,X6 : $i,X7 : $i,X4 : $i,X5 : $i > $o] : (((!! @ $i @ (^[Y0 : $i]: ((~ (sK0 @ X8 @ Y0)) | (X2 @ Y0)))) = $false) | ((~ (X5 @ (sK16 @ X5 @ X6))) = $false) | ((X5 @ X7) = $false) | ($true = (X2 @ X3)) | ($true = (~ (sK0 @ X1 @ X8))) | ((sK0 @ X1 @ X3) = $false) | ((sK0 @ X4 @ X7) = $false) | ((~ (sK0 @ X4 @ X6)) = $true)) )),
% 2.23/0.67 inference(not_proxy_clausification,[],[f301])).
% 2.23/0.67 thf(f301,plain,(
% 2.23/0.67 ( ! [X2 : $i > $o,X3 : $i,X1 : $i,X8 : $i,X6 : $i,X7 : $i,X4 : $i,X5 : $i > $o] : (((~ (sK0 @ X4 @ X7)) = $true) | ((sK0 @ X1 @ X3) = $false) | ($true = (~ (sK0 @ X1 @ X8))) | ($true = (X2 @ X3)) | ((!! @ $i @ (^[Y0 : $i]: ((~ (sK0 @ X8 @ Y0)) | (X2 @ Y0)))) = $false) | ((X5 @ X7) = $false) | ((~ (X5 @ (sK16 @ X5 @ X6))) = $false) | ((~ (sK0 @ X4 @ X6)) = $true)) )),
% 2.23/0.67 inference(not_proxy_clausification,[],[f285])).
% 2.23/0.67 thf(f285,plain,(
% 2.23/0.67 ( ! [X2 : $i > $o,X3 : $i,X1 : $i,X8 : $i,X6 : $i,X7 : $i,X4 : $i,X5 : $i > $o] : (($true = (X2 @ X3)) | ((sK0 @ X1 @ X3) = $false) | ($true = (~ (!! @ $i @ (^[Y0 : $i]: ((~ (sK0 @ X8 @ Y0)) | (X2 @ Y0)))))) | ((~ (X5 @ (sK16 @ X5 @ X6))) = $false) | ((~ (sK0 @ X4 @ X7)) = $true) | ((~ (sK0 @ X4 @ X6)) = $true) | ($true = (~ (sK0 @ X1 @ X8))) | ((X5 @ X7) = $false)) )),
% 2.23/0.67 inference(binary_proxy_clausification,[],[f284])).
% 2.23/0.67 thf(f317,plain,(
% 2.23/0.67 spl1_1 | spl1_2),
% 2.23/0.67 inference(avatar_split_clause,[],[f308,f315,f312])).
% 2.23/0.67 thf(f308,plain,(
% 2.23/0.67 ( ! [X2 : $i > $o,X3 : $i,X1 : $i,X8 : $i,X6 : $i,X7 : $i,X4 : $i,X5 : $i > $o] : (((X5 @ (sK16 @ X5 @ X6)) = $true) | ((sK0 @ X4 @ X6) = $false) | ((sK0 @ X1 @ X3) = $false) | ($false = (X2 @ (sK18 @ X8 @ X2))) | ((sK0 @ X1 @ X8) = $false) | ((sK0 @ X4 @ X7) = $false) | ($true = (X2 @ X3)) | ((X5 @ X7) = $false)) )),
% 2.23/0.67 inference(binary_proxy_clausification,[],[f307])).
% 2.23/0.67 % SZS output end Proof for theBenchmark
% 2.23/0.67 % (28563)------------------------------
% 2.23/0.67 % (28563)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.23/0.67 % (28563)Termination reason: Refutation
% 2.23/0.67
% 2.23/0.67 % (28563)Memory used [KB]: 6780
% 2.23/0.67 % (28563)Time elapsed: 0.164 s
% 2.23/0.67 % (28563)Instructions burned: 251 (million)
% 2.23/0.67 % (28563)------------------------------
% 2.23/0.67 % (28563)------------------------------
% 2.23/0.67 % (28515)Success in time 0.298 s
% 2.23/0.67 % Vampire---4.8 exiting
%------------------------------------------------------------------------------