TSTP Solution File: SYO069^4.002 by Vampire---4.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SYO069^4.002 : TPTP v8.2.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% Computer : n012.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue May 21 09:02:43 EDT 2024
% Result : Theorem 28.14s 4.08s
% Output : Refutation 28.14s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SYO069^4.002 : TPTP v8.2.0. Released v4.0.0.
% 0.07/0.14 % 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
% 0.14/0.35 % Computer : n012.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % 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 09:22:53 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 % (19749)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on theBenchmark for (2999ds/18Mi)
% 0.14/0.37 % (19743)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on theBenchmark for (2999ds/183Mi)
% 0.14/0.37 % (19744)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)
% 0.14/0.37 % (19746)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.14/0.37 % (19745)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)
% 0.14/0.37 % (19747)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)
% 0.14/0.37 % (19748)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)
% 0.14/0.38 % (19750)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)
% 0.14/0.38 % (19747)Instruction limit reached!
% 0.14/0.38 % (19747)------------------------------
% 0.14/0.38 % (19747)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.38 % (19747)Termination reason: Unknown
% 0.14/0.38 % (19747)Termination phase: shuffling
% 0.14/0.38
% 0.14/0.38 % (19747)Memory used [KB]: 1023
% 0.14/0.38 % (19747)Time elapsed: 0.003 s
% 0.14/0.38 % (19747)Instructions burned: 2 (million)
% 0.14/0.38 % (19747)------------------------------
% 0.14/0.38 % (19747)------------------------------
% 0.14/0.38 % (19749)Instruction limit reached!
% 0.14/0.38 % (19749)------------------------------
% 0.14/0.38 % (19749)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.38 % (19749)Termination reason: Unknown
% 0.14/0.38 % (19749)Termination phase: Saturation
% 0.14/0.38
% 0.14/0.38 % (19749)Memory used [KB]: 5628
% 0.14/0.38 % (19749)Time elapsed: 0.007 s
% 0.14/0.38 % (19749)Instructions burned: 20 (million)
% 0.14/0.38 % (19749)------------------------------
% 0.14/0.38 % (19749)------------------------------
% 0.14/0.38 % (19746)Instruction limit reached!
% 0.14/0.38 % (19746)------------------------------
% 0.14/0.38 % (19746)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.38 % (19746)Termination reason: Unknown
% 0.14/0.38 % (19746)Termination phase: shuffling
% 0.14/0.38
% 0.14/0.38 % (19746)Memory used [KB]: 1023
% 0.14/0.38 % (19746)Time elapsed: 0.004 s
% 0.14/0.38 % (19746)Instructions burned: 3 (million)
% 0.14/0.38 % (19746)------------------------------
% 0.14/0.38 % (19746)------------------------------
% 0.14/0.38 % (19750)Instruction limit reached!
% 0.14/0.38 % (19750)------------------------------
% 0.14/0.38 % (19750)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.38 % (19750)Termination reason: Unknown
% 0.14/0.38 % (19750)Termination phase: shuffling
% 0.14/0.38
% 0.14/0.38 % (19750)Memory used [KB]: 1023
% 0.14/0.38 % (19750)Time elapsed: 0.004 s
% 0.14/0.38 % (19750)Instructions burned: 3 (million)
% 0.14/0.38 % (19750)------------------------------
% 0.14/0.38 % (19750)------------------------------
% 0.14/0.38 % (19744)Instruction limit reached!
% 0.14/0.38 % (19744)------------------------------
% 0.14/0.38 % (19744)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.38 % (19744)Termination reason: Unknown
% 0.14/0.38 % (19744)Termination phase: Function definition elimination
% 0.14/0.38
% 0.14/0.38 % (19744)Memory used [KB]: 1023
% 0.14/0.38 % (19744)Time elapsed: 0.005 s
% 0.14/0.38 % (19744)Instructions burned: 5 (million)
% 0.14/0.38 % (19744)------------------------------
% 0.14/0.38 % (19744)------------------------------
% 0.14/0.38 % (19748)Refutation not found, incomplete strategy
% 0.14/0.38 % (19748)------------------------------
% 0.14/0.38 % (19748)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.38 % (19748)Termination reason: Refutation not found, incomplete strategy
% 0.14/0.38
% 0.14/0.38
% 0.14/0.38 % (19748)Memory used [KB]: 5500
% 0.14/0.38 % (19748)Time elapsed: 0.006 s
% 0.14/0.38 % (19748)Instructions burned: 6 (million)
% 0.14/0.38 % (19748)------------------------------
% 0.14/0.38 % (19748)------------------------------
% 0.14/0.39 % (19757)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)
% 0.14/0.39 % (19745)Instruction limit reached!
% 0.14/0.39 % (19745)------------------------------
% 0.14/0.39 % (19745)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.39 % (19745)Termination reason: Unknown
% 0.14/0.39 % (19745)Termination phase: Saturation
% 0.14/0.39
% 0.14/0.39 % (19745)Memory used [KB]: 5628
% 0.14/0.39 % (19745)Time elapsed: 0.014 s
% 0.14/0.39 % (19745)Instructions burned: 27 (million)
% 0.14/0.39 % (19745)------------------------------
% 0.14/0.39 % (19745)------------------------------
% 0.14/0.39 % (19758)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)
% 0.14/0.39 % (19759)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)
% 0.14/0.39 % (19761)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)
% 0.14/0.39 % (19762)lrs+10_1:1_av=off:chr=on:plsq=on:slsq=on:i=7:si=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.14/0.39 % (19759)Instruction limit reached!
% 0.14/0.39 % (19759)------------------------------
% 0.14/0.39 % (19759)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.39 % (19759)Termination reason: Unknown
% 0.14/0.39 % (19759)Termination phase: Property scanning
% 0.14/0.39
% 0.14/0.39 % (19759)Memory used [KB]: 1023
% 0.14/0.39 % (19759)Time elapsed: 0.004 s
% 0.14/0.39 % (19759)Instructions burned: 4 (million)
% 0.14/0.39 % (19759)------------------------------
% 0.14/0.39 % (19759)------------------------------
% 0.14/0.39 % (19764)lrs+10_1:1_acc=on:amm=sco:cs=on:tgt=full:i=16:si=on:rtra=on_0 on theBenchmark for (2999ds/16Mi)
% 0.14/0.40 % (19762)Instruction limit reached!
% 0.14/0.40 % (19762)------------------------------
% 0.14/0.40 % (19762)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.40 % (19762)Termination reason: Unknown
% 0.14/0.40 % (19762)Termination phase: Property scanning
% 0.14/0.40
% 0.14/0.40 % (19762)Memory used [KB]: 1023
% 0.14/0.40 % (19762)Time elapsed: 0.006 s
% 0.14/0.40 % (19762)Instructions burned: 8 (million)
% 0.14/0.40 % (19762)------------------------------
% 0.14/0.40 % (19762)------------------------------
% 0.14/0.40 % (19757)Instruction limit reached!
% 0.14/0.40 % (19757)------------------------------
% 0.14/0.40 % (19757)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.40 % (19757)Termination reason: Unknown
% 0.14/0.40 % (19757)Termination phase: Saturation
% 0.14/0.40
% 0.14/0.40 % (19757)Memory used [KB]: 5628
% 0.14/0.40 % (19757)Time elapsed: 0.012 s
% 0.14/0.40 % (19757)Instructions burned: 38 (million)
% 0.14/0.40 % (19757)------------------------------
% 0.14/0.40 % (19757)------------------------------
% 0.14/0.40 % (19758)Instruction limit reached!
% 0.14/0.40 % (19758)------------------------------
% 0.14/0.40 % (19758)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.40 % (19758)Termination reason: Unknown
% 0.14/0.40 % (19758)Termination phase: Saturation
% 0.14/0.40
% 0.14/0.40 % (19758)Memory used [KB]: 5500
% 0.14/0.40 % (19758)Time elapsed: 0.009 s
% 0.14/0.40 % (19758)Instructions burned: 16 (million)
% 0.14/0.40 % (19758)------------------------------
% 0.14/0.40 % (19758)------------------------------
% 0.14/0.40 % (19768)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)
% 0.14/0.40 % (19768)Instruction limit reached!
% 0.14/0.40 % (19768)------------------------------
% 0.14/0.40 % (19768)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.40 % (19768)Termination reason: Unknown
% 0.14/0.40 % (19768)Termination phase: Property scanning
% 0.14/0.40
% 0.14/0.40 % (19768)Memory used [KB]: 1023
% 0.14/0.40 % (19768)Time elapsed: 0.004 s
% 0.14/0.40 % (19768)Instructions burned: 4 (million)
% 0.14/0.40 % (19768)------------------------------
% 0.14/0.40 % (19768)------------------------------
% 0.14/0.40 % (19764)Instruction limit reached!
% 0.14/0.40 % (19764)------------------------------
% 0.14/0.40 % (19764)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.40 % (19764)Termination reason: Unknown
% 0.14/0.40 % (19764)Termination phase: Saturation
% 0.14/0.40
% 0.14/0.40 % (19764)Memory used [KB]: 5884
% 0.14/0.40 % (19764)Time elapsed: 0.012 s
% 0.14/0.40 % (19764)Instructions burned: 17 (million)
% 0.14/0.40 % (19764)------------------------------
% 0.14/0.40 % (19764)------------------------------
% 0.14/0.41 % (19777)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)
% 0.14/0.41 % (19777)Instruction limit reached!
% 0.14/0.41 % (19777)------------------------------
% 0.14/0.41 % (19777)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.41 % (19777)Termination reason: Unknown
% 0.14/0.41 % (19777)Termination phase: shuffling
% 0.14/0.41
% 0.14/0.41 % (19777)Memory used [KB]: 1023
% 0.14/0.41 % (19777)Time elapsed: 0.002 s
% 0.14/0.41 % (19777)Instructions burned: 3 (million)
% 0.14/0.41 % (19777)------------------------------
% 0.14/0.41 % (19777)------------------------------
% 0.14/0.41 % (19773)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)
% 0.14/0.41 % (19773)Instruction limit reached!
% 0.14/0.41 % (19773)------------------------------
% 0.14/0.41 % (19773)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.41 % (19773)Termination reason: Unknown
% 0.14/0.41 % (19773)Termination phase: Property scanning
% 0.14/0.41
% 0.14/0.41 % (19773)Memory used [KB]: 1023
% 0.14/0.41 % (19773)Time elapsed: 0.004 s
% 0.14/0.41 % (19773)Instructions burned: 4 (million)
% 0.14/0.41 % (19773)------------------------------
% 0.14/0.41 % (19773)------------------------------
% 0.14/0.41 % (19775)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)
% 0.14/0.41 % (19778)dis+1004_1:1_cha=on:cs=on:fe=off:hud=1:i=4:si=on:rtra=on_0 on theBenchmark for (2999ds/4Mi)
% 0.21/0.41 % (19778)Instruction limit reached!
% 0.21/0.41 % (19778)------------------------------
% 0.21/0.41 % (19778)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.41 % (19778)Termination reason: Unknown
% 0.21/0.41 % (19778)Termination phase: Property scanning
% 0.21/0.41
% 0.21/0.41 % (19778)Memory used [KB]: 1023
% 0.21/0.41 % (19778)Time elapsed: 0.004 s
% 0.21/0.41 % (19778)Instructions burned: 4 (million)
% 0.21/0.41 % (19778)------------------------------
% 0.21/0.41 % (19778)------------------------------
% 0.21/0.41 % (19775)Instruction limit reached!
% 0.21/0.41 % (19775)------------------------------
% 0.21/0.41 % (19775)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.41 % (19775)Termination reason: Unknown
% 0.21/0.41 % (19775)Termination phase: Property scanning
% 0.21/0.41
% 0.21/0.41 % (19775)Memory used [KB]: 1023
% 0.21/0.41 % (19775)Time elapsed: 0.006 s
% 0.21/0.41 % (19775)Instructions burned: 8 (million)
% 0.21/0.41 % (19775)------------------------------
% 0.21/0.41 % (19775)------------------------------
% 0.21/0.42 % (19784)lrs+1004_1:1_chr=on:prag=on:i=6:si=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 0.21/0.42 % (19781)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)
% 0.21/0.42 % (19784)Instruction limit reached!
% 0.21/0.42 % (19784)------------------------------
% 0.21/0.42 % (19784)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.42 % (19784)Termination reason: Unknown
% 0.21/0.42 % (19784)Termination phase: Property scanning
% 0.21/0.42
% 0.21/0.42 % (19784)Memory used [KB]: 1023
% 0.21/0.42 % (19784)Time elapsed: 0.003 s
% 0.21/0.42 % (19784)Instructions burned: 7 (million)
% 0.21/0.42 % (19784)------------------------------
% 0.21/0.42 % (19784)------------------------------
% 0.21/0.42 % (19783)lrs+10_1:1_e2e=on:sd=1:sgt=8:ss=axioms:i=710:si=on:rtra=on_0 on theBenchmark for (2999ds/710Mi)
% 0.21/0.42 % (19785)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)
% 0.21/0.42 % (19783)Refutation not found, incomplete strategy
% 0.21/0.42 % (19783)------------------------------
% 0.21/0.42 % (19783)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.42 % (19783)Termination reason: Refutation not found, incomplete strategy
% 0.21/0.42
% 0.21/0.42
% 0.21/0.42 % (19783)Memory used [KB]: 5628
% 0.21/0.42 % (19783)Time elapsed: 0.008 s
% 0.21/0.42 % (19783)Instructions burned: 9 (million)
% 0.21/0.43 % (19783)------------------------------
% 0.21/0.43 % (19783)------------------------------
% 0.21/0.43 % (19792)lrs+2_1:1_cnfonf=lazy_not_gen_be_off:cs=on:fe=off:hud=10:inj=on:ins=3:plsq=on:plsqc=1:sd=10:ss=axioms:tnu=1:i=6:si=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 0.21/0.43 % (19788)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)
% 0.21/0.43 % (19785)Refutation not found, incomplete strategy
% 0.21/0.43 % (19785)------------------------------
% 0.21/0.43 % (19785)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.43 % (19785)Termination reason: Refutation not found, incomplete strategy
% 0.21/0.43
% 0.21/0.43
% 0.21/0.43 % (19785)Memory used [KB]: 5500
% 0.21/0.43 % (19785)Time elapsed: 0.006 s
% 0.21/0.43 % (19785)Instructions burned: 7 (million)
% 0.21/0.43 % (19785)------------------------------
% 0.21/0.43 % (19785)------------------------------
% 0.21/0.43 % (19789)dis+10_1:1_cnfonf=lazy_gen:fe=off:i=5:si=on:rtra=on_0 on theBenchmark for (2999ds/5Mi)
% 0.21/0.43 % (19781)Instruction limit reached!
% 0.21/0.43 % (19781)------------------------------
% 0.21/0.43 % (19781)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.43 % (19781)Termination reason: Unknown
% 0.21/0.43 % (19792)Instruction limit reached!
% 0.21/0.43 % (19792)------------------------------
% 0.21/0.43 % (19792)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.43 % (19792)Termination reason: Unknown
% 0.21/0.43 % (19792)Termination phase: Saturation
% 0.21/0.43
% 0.21/0.43 % (19792)Memory used [KB]: 5500
% 0.21/0.43 % (19792)Time elapsed: 0.003 s
% 0.21/0.43 % (19792)Instructions burned: 6 (million)
% 0.21/0.43 % (19792)------------------------------
% 0.21/0.43 % (19792)------------------------------
% 0.21/0.43 % (19781)Termination phase: Saturation
% 0.21/0.43
% 0.21/0.43 % (19781)Memory used [KB]: 5628
% 0.21/0.43 % (19781)Time elapsed: 0.014 s
% 0.21/0.43 % (19781)Instructions burned: 19 (million)
% 0.21/0.43 % (19781)------------------------------
% 0.21/0.43 % (19781)------------------------------
% 0.21/0.43 % (19789)Instruction limit reached!
% 0.21/0.43 % (19789)------------------------------
% 0.21/0.43 % (19789)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.43 % (19789)Termination reason: Unknown
% 0.21/0.43 % (19789)Termination phase: Property scanning
% 0.21/0.43
% 0.21/0.43 % (19789)Memory used [KB]: 1023
% 0.21/0.43 % (19789)Time elapsed: 0.005 s
% 0.21/0.43 % (19789)Instructions burned: 7 (million)
% 0.21/0.43 % (19789)------------------------------
% 0.21/0.43 % (19789)------------------------------
% 0.21/0.44 % (19788)Instruction limit reached!
% 0.21/0.44 % (19788)------------------------------
% 0.21/0.44 % (19788)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.44 % (19788)Termination reason: Unknown
% 0.21/0.44 % (19788)Termination phase: Saturation
% 0.21/0.44
% 0.21/0.44 % (19788)Memory used [KB]: 5628
% 0.21/0.44 % (19788)Time elapsed: 0.011 s
% 0.21/0.44 % (19788)Instructions burned: 21 (million)
% 0.21/0.44 % (19788)------------------------------
% 0.21/0.44 % (19788)------------------------------
% 0.21/0.44 % (19798)dis+1010_1:4_atotf=0.2:c=on:cbe=off:cnfonf=lazy_simp:fe=off:ins=2:ntd=on:s2a=on:s2at=5.0:sgt=5:ss=axioms:st=1.5:i=779:si=on:rtra=on_0 on theBenchmark for (2999ds/779Mi)
% 0.21/0.44 % (19796)lrs+1002_1:128_au=on:c=on:fsr=off:piset=equals:i=377:si=on:rtra=on_0 on theBenchmark for (2999ds/377Mi)
% 0.21/0.44 % (19799)lrs+10_1:1_cnfonf=lazy_not_be_gen:ntd=on:sp=const_min:ss=axioms:sup=off:i=19:si=on:rtra=on_0 on theBenchmark for (2999ds/19Mi)
% 0.21/0.44 % (19801)lrs+1010_1:1_au=on:s2a=on:sd=1:sgt=50:ss=axioms:i=879:si=on:rtra=on_0 on theBenchmark for (2999ds/879Mi)
% 0.21/0.45 % (19803)dis+1002_1:128_acc=on:er=filter:i=17:si=on:rtra=on_0 on theBenchmark for (2999ds/17Mi)
% 0.21/0.45 % (19799)Refutation not found, incomplete strategy
% 0.21/0.45 % (19799)------------------------------
% 0.21/0.45 % (19799)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.45 % (19799)Termination reason: Refutation not found, incomplete strategy
% 0.21/0.45
% 0.21/0.45
% 0.21/0.45 % (19799)Memory used [KB]: 5500
% 0.21/0.45 % (19799)Time elapsed: 0.005 s
% 0.21/0.45 % (19799)Instructions burned: 6 (million)
% 0.21/0.45 % (19799)------------------------------
% 0.21/0.45 % (19799)------------------------------
% 0.21/0.45 % (19806)ott+21_1:1_apa=on:au=on:cnfonf=off:sos=on:i=3:si=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.21/0.45 % (19806)Instruction limit reached!
% 0.21/0.45 % (19806)------------------------------
% 0.21/0.45 % (19806)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.45 % (19806)Termination reason: Unknown
% 0.21/0.45 % (19806)Termination phase: shuffling
% 0.21/0.45
% 0.21/0.45 % (19806)Memory used [KB]: 1023
% 0.21/0.45 % (19806)Time elapsed: 0.003 s
% 0.21/0.45 % (19806)Instructions burned: 3 (million)
% 0.21/0.45 % (19806)------------------------------
% 0.21/0.45 % (19806)------------------------------
% 0.21/0.45 % (19803)Instruction limit reached!
% 0.21/0.45 % (19803)------------------------------
% 0.21/0.45 % (19803)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.45 % (19803)Termination reason: Unknown
% 0.21/0.45 % (19803)Termination phase: Saturation
% 0.21/0.45
% 0.21/0.45 % (19803)Memory used [KB]: 5628
% 0.21/0.45 % (19803)Time elapsed: 0.010 s
% 0.21/0.45 % (19803)Instructions burned: 19 (million)
% 0.21/0.45 % (19803)------------------------------
% 0.21/0.45 % (19803)------------------------------
% 0.21/0.46 % (19811)lrs+1010_1:8_cnfonf=off:hud=1:inj=on:tnu=5:i=30:si=on:rtra=on_0 on theBenchmark for (2999ds/30Mi)
% 0.21/0.47 % (19811)Refutation not found, incomplete strategy
% 0.21/0.47 % (19811)------------------------------
% 0.21/0.47 % (19811)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.47 % (19811)Termination reason: Refutation not found, incomplete strategy
% 0.21/0.47
% 0.21/0.47
% 0.21/0.47 % (19811)Memory used [KB]: 5628
% 0.21/0.47 % (19811)Time elapsed: 0.008 s
% 0.21/0.47 % (19811)Instructions burned: 23 (million)
% 0.21/0.47 % (19811)------------------------------
% 0.21/0.47 % (19811)------------------------------
% 0.21/0.47 % (19813)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 (2999ds/127Mi)
% 0.21/0.47 % (19743)Instruction limit reached!
% 0.21/0.47 % (19743)------------------------------
% 0.21/0.47 % (19743)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.47 % (19743)Termination reason: Unknown
% 0.21/0.47 % (19743)Termination phase: Saturation
% 0.21/0.47
% 0.21/0.47 % (19743)Memory used [KB]: 6524
% 0.21/0.47 % (19743)Time elapsed: 0.097 s
% 0.21/0.47 % (19743)Instructions burned: 183 (million)
% 0.21/0.47 % (19743)------------------------------
% 0.21/0.47 % (19743)------------------------------
% 0.21/0.47 % (19814)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 (2999ds/100Mi)
% 0.21/0.47 % (19819)dis+10_1:1_anc=none:cnfonf=lazy_gen:fd=preordered:fe=off:hud=10:ins=3:ixr=off:nwc=5.0:plsq=on:plsqc=1:plsqr=32,1:sp=const_frequency:uhcvi=on:i=3:si=on:rtra=on_0 on theBenchmark for (2998ds/3Mi)
% 0.21/0.48 % (19819)Instruction limit reached!
% 0.21/0.48 % (19819)------------------------------
% 0.21/0.48 % (19819)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.48 % (19819)Termination reason: Unknown
% 0.21/0.48 % (19819)Termination phase: Property scanning
% 0.21/0.48
% 0.21/0.48 % (19819)Memory used [KB]: 1023
% 0.21/0.48 % (19819)Time elapsed: 0.002 s
% 0.21/0.48 % (19819)Instructions burned: 3 (million)
% 0.21/0.48 % (19819)------------------------------
% 0.21/0.48 % (19819)------------------------------
% 0.21/0.48 % (19823)lrs+10_8:1_au=on:avsq=on:e2e=on:ins=3:s2a=on:s2at=3.0:ss=axioms:i=20:si=on:rtra=on_0 on theBenchmark for (2998ds/20Mi)
% 0.21/0.48 % (19828)dis+1002_1:1_cbe=off:hud=5:nm=4:plsq=on:plsqr=7,1:prag=on:sp=const_max:tnu=1:i=86:si=on:rtra=on_0 on theBenchmark for (2998ds/86Mi)
% 0.21/0.49 % (19823)Refutation not found, incomplete strategy
% 0.21/0.49 % (19823)------------------------------
% 0.21/0.49 % (19823)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.49 % (19823)Termination reason: Refutation not found, incomplete strategy
% 0.21/0.49
% 0.21/0.49
% 0.21/0.49 % (19823)Memory used [KB]: 5500
% 0.21/0.49 % (19823)Time elapsed: 0.005 s
% 0.21/0.49 % (19823)Instructions burned: 6 (million)
% 0.21/0.49 % (19823)------------------------------
% 0.21/0.49 % (19823)------------------------------
% 0.21/0.50 % (19837)lrs+1010_1:1_au=on:cbe=off:nm=2:ntd=on:sd=2:ss=axioms:st=5.0:i=107:si=on:rtra=on_0 on theBenchmark for (2998ds/107Mi)
% 0.21/0.50 % (19813)Instruction limit reached!
% 0.21/0.50 % (19813)------------------------------
% 0.21/0.50 % (19813)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.50 % (19813)Termination reason: Unknown
% 0.21/0.50 % (19813)Termination phase: Saturation
% 0.21/0.50
% 0.21/0.50 % (19813)Memory used [KB]: 6140
% 0.21/0.50 % (19813)Time elapsed: 0.038 s
% 0.21/0.50 % (19813)Instructions burned: 129 (million)
% 0.21/0.50 % (19813)------------------------------
% 0.21/0.50 % (19813)------------------------------
% 0.21/0.50 % (19837)Refutation not found, incomplete strategy
% 0.21/0.50 % (19837)------------------------------
% 0.21/0.50 % (19837)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.50 % (19837)Termination reason: Refutation not found, incomplete strategy
% 0.21/0.50
% 0.21/0.50
% 0.21/0.50 % (19837)Memory used [KB]: 5628
% 0.21/0.50 % (19837)Time elapsed: 0.008 s
% 0.21/0.50 % (19837)Instructions burned: 25 (million)
% 0.21/0.50 % (19837)------------------------------
% 0.21/0.50 % (19837)------------------------------
% 0.21/0.50 % (19814)Instruction limit reached!
% 0.21/0.50 % (19814)------------------------------
% 0.21/0.50 % (19814)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.50 % (19814)Termination reason: Unknown
% 0.21/0.50 % (19814)Termination phase: Saturation
% 0.21/0.50
% 0.21/0.50 % (19814)Memory used [KB]: 5756
% 0.21/0.50 % (19814)Time elapsed: 0.037 s
% 0.21/0.50 % (19814)Instructions burned: 101 (million)
% 0.21/0.50 % (19814)------------------------------
% 0.21/0.50 % (19814)------------------------------
% 0.21/0.51 % (19828)Instruction limit reached!
% 0.21/0.51 % (19828)------------------------------
% 0.21/0.51 % (19828)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.51 % (19828)Termination reason: Unknown
% 0.21/0.51 % (19828)Termination phase: Saturation
% 0.21/0.51
% 0.21/0.51 % (19828)Memory used [KB]: 5884
% 0.21/0.51 % (19828)Time elapsed: 0.025 s
% 0.21/0.51 % (19828)Instructions burned: 87 (million)
% 0.21/0.51 % (19828)------------------------------
% 0.21/0.51 % (19828)------------------------------
% 0.21/0.51 % (19846)lrs+2_1:1024_cnfonf=lazy_gen:fe=off:hud=15:plsq=on:plsqc=1:plsqr=32,1:i=39:si=on:rtra=on_0 on theBenchmark for (2998ds/39Mi)
% 0.21/0.51 % (19849)dis+10_1:1_cnfonf=lazy_not_gen:fsr=off:kws=precedence:nwc=5.0:s2a=on:ss=axioms:st=1.5:i=448:si=on:rtra=on_0 on theBenchmark for (2998ds/448Mi)
% 0.21/0.51 % (19851)lrs+10_1:512_au=on:fde=unused:lma=on:nm=32:plsq=on:plsqc=1:plsqr=16121663,131072:sfv=off:sp=const_max:ss=axioms:st=3.0:tgt=full:i=46:si=on:rtra=on_0 on theBenchmark for (2998ds/46Mi)
% 0.21/0.52 % (19857)lrs+10_1:10_au=on:av=off:cbe=off:cnfonf=lazy_pi_sigma_gen:ntd=on:plsq=on:plsqc=1:plsqr=32,1:i=98:si=on:rtra=on_0 on theBenchmark for (2998ds/98Mi)
% 0.21/0.52 % (19846)Instruction limit reached!
% 0.21/0.52 % (19846)------------------------------
% 0.21/0.52 % (19846)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.52 % (19846)Termination reason: Unknown
% 0.21/0.52 % (19846)Termination phase: Saturation
% 0.21/0.52
% 0.21/0.52 % (19846)Memory used [KB]: 5756
% 0.21/0.52 % (19846)Time elapsed: 0.012 s
% 0.21/0.52 % (19846)Instructions burned: 40 (million)
% 0.21/0.52 % (19846)------------------------------
% 0.21/0.52 % (19846)------------------------------
% 0.21/0.53 % (19851)Instruction limit reached!
% 0.21/0.53 % (19851)------------------------------
% 0.21/0.53 % (19851)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.53 % (19851)Termination reason: Unknown
% 0.21/0.53 % (19851)Termination phase: Saturation
% 0.21/0.53 % (19865)ott+1002_1:1_apa=on:au=on:bd=off:cnfonf=off:fd=off:sos=on:sp=weighted_frequency:i=507:si=on:rtra=on_0 on theBenchmark for (2998ds/507Mi)
% 0.21/0.53
% 0.21/0.53 % (19851)Memory used [KB]: 5756
% 0.21/0.53 % (19851)Time elapsed: 0.018 s
% 0.21/0.53 % (19851)Instructions burned: 46 (million)
% 0.21/0.53 % (19851)------------------------------
% 0.21/0.53 % (19851)------------------------------
% 0.21/0.54 % (19865)Refutation not found, incomplete strategy
% 0.21/0.54 % (19865)------------------------------
% 0.21/0.54 % (19865)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.54 % (19865)Termination reason: Refutation not found, incomplete strategy
% 0.21/0.54
% 0.21/0.54
% 0.21/0.54 % (19865)Memory used [KB]: 5628
% 0.21/0.54 % (19865)Time elapsed: 0.008 s
% 0.21/0.54 % (19865)Instructions burned: 27 (million)
% 0.21/0.54 % (19865)------------------------------
% 0.21/0.54 % (19865)------------------------------
% 0.21/0.54 % (19871)dis+1010_2:3_amm=off:fd=preordered:ixr=off:nm=0:pe=on:piset=equals:prag=on:sac=on:tgt=ground:i=149:si=on:rtra=on_0 on theBenchmark for (2998ds/149Mi)
% 0.21/0.55 % (19857)Instruction limit reached!
% 0.21/0.55 % (19857)------------------------------
% 0.21/0.55 % (19857)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.55 % (19857)Termination reason: Unknown
% 0.21/0.55 % (19857)Termination phase: Saturation
% 0.21/0.55
% 0.21/0.55 % (19857)Memory used [KB]: 1279
% 0.21/0.55 % (19857)Time elapsed: 0.030 s
% 0.21/0.55 % (19857)Instructions burned: 98 (million)
% 0.21/0.55 % (19857)------------------------------
% 0.21/0.55 % (19857)------------------------------
% 0.21/0.55 % (19880)lrs+21_1:16_au=on:bd=off:piset=and:i=39:si=on:rtra=on_0 on theBenchmark for (2998ds/39Mi)
% 0.21/0.55 % (19886)lrs+1004_1:1_cnfonf=lazy_pi_sigma_gen:fe=off:gs=on:hud=10:prag=on:tnu=1:i=6:si=on:rtra=on_0 on theBenchmark for (2998ds/6Mi)
% 0.21/0.56 % (19880)Instruction limit reached!
% 0.21/0.56 % (19880)------------------------------
% 0.21/0.56 % (19880)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.56 % (19880)Termination reason: Unknown
% 0.21/0.56 % (19880)Termination phase: Saturation
% 0.21/0.56
% 0.21/0.56 % (19880)Memory used [KB]: 5628
% 0.21/0.56 % (19880)Time elapsed: 0.011 s
% 0.21/0.56 % (19880)Instructions burned: 39 (million)
% 0.21/0.56 % (19880)------------------------------
% 0.21/0.56 % (19880)------------------------------
% 0.21/0.56 % (19886)Instruction limit reached!
% 0.21/0.56 % (19886)------------------------------
% 0.21/0.56 % (19886)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.56 % (19886)Termination reason: Unknown
% 0.21/0.56 % (19886)Termination phase: Property scanning
% 0.21/0.56
% 0.21/0.56 % (19886)Memory used [KB]: 1023
% 0.21/0.56 % (19886)Time elapsed: 0.003 s
% 0.21/0.56 % (19886)Instructions burned: 8 (million)
% 0.21/0.56 % (19886)------------------------------
% 0.21/0.56 % (19886)------------------------------
% 0.21/0.56 % (19889)dis+1002_1:1_aac=none:au=on:e2e=on:nm=2:nwc=10.0:sd=1:ss=axioms:st=3.0:i=1087:si=on:rtra=on_0 on theBenchmark for (2998ds/1087Mi)
% 0.21/0.56 % (19890)dis+10_1:1_aac=none:cs=on:i=47:si=on:rtra=on_0 on theBenchmark for (2998ds/47Mi)
% 0.21/0.57 % (19889)Refutation not found, incomplete strategy
% 0.21/0.57 % (19889)------------------------------
% 0.21/0.57 % (19889)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.57 % (19889)Termination reason: Refutation not found, incomplete strategy
% 0.21/0.57
% 0.21/0.57
% 0.21/0.57 % (19889)Memory used [KB]: 5628
% 0.21/0.57 % (19889)Time elapsed: 0.004 s
% 0.21/0.57 % (19889)Instructions burned: 9 (million)
% 0.21/0.57 % (19889)------------------------------
% 0.21/0.57 % (19889)------------------------------
% 0.21/0.58 % (19897)lrs+1010_1:128_av=off:cbe=off:cnfonf=lazy_simp:fsr=off:ntd=on:ss=axioms:st=1.5:i=44:si=on:rtra=on_0 on theBenchmark for (2998ds/44Mi)
% 0.21/0.58 % (19890)Instruction limit reached!
% 0.21/0.58 % (19890)------------------------------
% 0.21/0.58 % (19890)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.58 % (19890)Termination reason: Unknown
% 0.21/0.58 % (19890)Termination phase: Saturation
% 0.21/0.58
% 0.21/0.58 % (19890)Memory used [KB]: 5628
% 0.21/0.58 % (19890)Time elapsed: 0.013 s
% 0.21/0.58 % (19890)Instructions burned: 49 (million)
% 0.21/0.58 % (19890)------------------------------
% 0.21/0.58 % (19890)------------------------------
% 0.21/0.58 % (19796)Refutation not found, non-redundant clauses discarded% (19796)------------------------------
% 0.21/0.58 % (19796)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.58 % (19796)Termination reason: Refutation not found, non-redundant clauses discarded
% 0.21/0.58
% 0.21/0.58 % (19796)Memory used [KB]: 7419
% 0.21/0.58 % (19796)Time elapsed: 0.142 s
% 0.21/0.58 % (19796)Instructions burned: 367 (million)
% 0.21/0.58 % (19796)------------------------------
% 0.21/0.58 % (19796)------------------------------
% 0.21/0.58 % (19903)dis+10_1:1_av=off:bd=off:cnfonf=lazy_gen:fe=off:hud=10:plsq=on:plsqc=1:plsqr=32,1:prag=on:tnu=1:i=432:si=on:rtra=on_0 on theBenchmark for (2997ds/432Mi)
% 0.21/0.59 % (19897)Instruction limit reached!
% 0.21/0.59 % (19897)------------------------------
% 0.21/0.59 % (19897)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.59 % (19897)Termination reason: Unknown
% 0.21/0.59 % (19897)Termination phase: Saturation
% 0.21/0.59
% 0.21/0.59 % (19897)Memory used [KB]: 1151
% 0.21/0.59 % (19897)Time elapsed: 0.013 s
% 0.21/0.59 % (19897)Instructions burned: 47 (million)
% 0.21/0.59 % (19897)------------------------------
% 0.21/0.59 % (19897)------------------------------
% 0.21/0.59 % (19907)lrs+10_7:1_cnfonf=lazy_gen:fe=off:nwc=5.0:plsq=on:i=62:si=on:rtra=on_0 on theBenchmark for (2997ds/62Mi)
% 0.21/0.59 % (19871)Instruction limit reached!
% 0.21/0.59 % (19871)------------------------------
% 0.21/0.59 % (19871)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.59 % (19871)Termination reason: Unknown
% 0.21/0.59 % (19871)Termination phase: Saturation
% 0.21/0.59
% 0.21/0.59 % (19871)Memory used [KB]: 6012
% 0.21/0.59 % (19871)Time elapsed: 0.054 s
% 0.21/0.59 % (19871)Instructions burned: 150 (million)
% 0.21/0.59 % (19871)------------------------------
% 0.21/0.59 % (19871)------------------------------
% 0.21/0.60 % (19912)lrs+1010_1:16_add=large:amm=off:anc=all_dependent:chr=on:fd=off:ins=2:sp=const_max:tnu=5:uhcvi=on:i=31:si=on:rtra=on_0 on theBenchmark for (2997ds/31Mi)
% 0.21/0.60 % (19913)dis+10_1:128_hud=1:i=96:si=on:rtra=on_0 on theBenchmark for (2997ds/96Mi)
% 0.21/0.61 % (19912)Instruction limit reached!
% 0.21/0.61 % (19912)------------------------------
% 0.21/0.61 % (19912)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.61 % (19912)Termination reason: Unknown
% 0.21/0.61 % (19912)Termination phase: Saturation
% 0.21/0.61
% 0.21/0.61 % (19912)Memory used [KB]: 5628
% 0.21/0.61 % (19912)Time elapsed: 0.010 s
% 0.21/0.61 % (19912)Instructions burned: 34 (million)
% 0.21/0.61 % (19912)------------------------------
% 0.21/0.61 % (19912)------------------------------
% 0.21/0.61 % (19907)Instruction limit reached!
% 0.21/0.61 % (19907)------------------------------
% 0.21/0.61 % (19907)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.61 % (19907)Termination reason: Unknown
% 0.21/0.61 % (19907)Termination phase: Saturation
% 0.21/0.61
% 0.21/0.61 % (19907)Memory used [KB]: 5756
% 0.21/0.61 % (19907)Time elapsed: 0.020 s
% 0.21/0.61 % (19907)Instructions burned: 64 (million)
% 0.21/0.61 % (19907)------------------------------
% 0.21/0.61 % (19907)------------------------------
% 0.21/0.61 % (19919)lrs+1002_1:4_au=on:cbe=off:cnfonf=lazy_pi_sigma_gen:hud=15:inj=on:nwc=4.0:s2a=on:sac=on:sp=reverse_arity:i=453:si=on:rtra=on_0 on theBenchmark for (2997ds/453Mi)
% 0.21/0.62 % (19921)lrs-1004_1:1_au=on:bsd=on:cbe=off:cnfonf=off:fe=axiom:fsd=on:i=71:si=on:rtra=on_0 on theBenchmark for (2997ds/71Mi)
% 0.21/0.63 % (19913)Instruction limit reached!
% 0.21/0.63 % (19913)------------------------------
% 0.21/0.63 % (19913)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.63 % (19913)Termination reason: Unknown
% 0.21/0.63 % (19913)Termination phase: Saturation
% 0.21/0.63
% 0.21/0.63 % (19913)Memory used [KB]: 6012
% 0.21/0.63 % (19913)Time elapsed: 0.028 s
% 0.21/0.63 % (19913)Instructions burned: 99 (million)
% 0.21/0.63 % (19913)------------------------------
% 0.21/0.63 % (19913)------------------------------
% 0.21/0.64 % (19927)dis+1002_1:1_bd=off:fsr=off:ntd=on:s2a=on:ss=axioms:i=83:si=on:rtra=on_0 on theBenchmark for (2997ds/83Mi)
% 0.21/0.64 % (19921)Instruction limit reached!
% 0.21/0.64 % (19921)------------------------------
% 0.21/0.64 % (19921)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.64 % (19921)Termination reason: Unknown
% 0.21/0.64 % (19921)Termination phase: Saturation
% 0.21/0.64
% 0.21/0.64 % (19921)Memory used [KB]: 5884
% 0.21/0.64 % (19921)Time elapsed: 0.024 s
% 0.21/0.64 % (19921)Instructions burned: 71 (million)
% 0.21/0.64 % (19921)------------------------------
% 0.21/0.64 % (19921)------------------------------
% 0.21/0.64 % (19927)Refutation not found, incomplete strategy
% 0.21/0.64 % (19927)------------------------------
% 0.21/0.64 % (19927)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.64 % (19927)Termination reason: Refutation not found, incomplete strategy
% 0.21/0.64
% 0.21/0.64
% 0.21/0.64 % (19927)Memory used [KB]: 5500
% 0.21/0.64 % (19927)Time elapsed: 0.003 s
% 0.21/0.64 % (19927)Instructions burned: 6 (million)
% 0.21/0.64 % (19927)------------------------------
% 0.21/0.64 % (19927)------------------------------
% 0.21/0.64 % (19849)Instruction limit reached!
% 0.21/0.64 % (19849)------------------------------
% 0.21/0.64 % (19849)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.64 % (19849)Termination reason: Unknown
% 0.21/0.64 % (19849)Termination phase: Saturation
% 0.21/0.64
% 0.21/0.64 % (19849)Memory used [KB]: 6012
% 0.21/0.64 % (19849)Time elapsed: 0.135 s
% 0.21/0.64 % (19849)Instructions burned: 450 (million)
% 0.21/0.64 % (19849)------------------------------
% 0.21/0.64 % (19849)------------------------------
% 0.21/0.65 % (19934)lrs+10_1:128_cnfonf=lazy_not_gen_be_off:hud=1:ins=1:i=11:si=on:rtra=on_0 on theBenchmark for (2997ds/11Mi)
% 0.21/0.65 % (19935)lrs+1010_1:1_au=on:cbe=off:cnfonf=lazy_not_gen_be_off:fsr=off:spb=non_intro:i=41:si=on:rtra=on_0 on theBenchmark for (2997ds/41Mi)
% 0.21/0.65 % (19934)Instruction limit reached!
% 0.21/0.65 % (19934)------------------------------
% 0.21/0.65 % (19934)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.65 % (19934)Termination reason: Unknown
% 0.21/0.65 % (19934)Termination phase: Saturation
% 0.21/0.65
% 0.21/0.65 % (19934)Memory used [KB]: 5500
% 0.21/0.65 % (19934)Time elapsed: 0.004 s
% 0.21/0.65 % (19934)Instructions burned: 13 (million)
% 0.21/0.65 % (19934)------------------------------
% 0.21/0.65 % (19934)------------------------------
% 0.21/0.65 % (19936)lrs+1004_1:1_chr=on:prag=on:i=6:si=on:rtra=on_0 on theBenchmark for (2997ds/6Mi)
% 0.21/0.66 % (19936)Instruction limit reached!
% 0.21/0.66 % (19936)------------------------------
% 0.21/0.66 % (19936)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.66 % (19936)Termination reason: Unknown
% 0.21/0.66 % (19936)Termination phase: Property scanning
% 0.21/0.66
% 0.21/0.66 % (19936)Memory used [KB]: 1023
% 0.21/0.66 % (19936)Time elapsed: 0.003 s
% 0.21/0.66 % (19936)Instructions burned: 7 (million)
% 0.21/0.66 % (19936)------------------------------
% 0.21/0.66 % (19936)------------------------------
% 0.21/0.66 % (19937)dis+10_1:1_avsq=on:cnfonf=off:e2e=on:nm=32:i=150:si=on:rtra=on_0 on theBenchmark for (2997ds/150Mi)
% 0.21/0.66 % (19935)Instruction limit reached!
% 0.21/0.66 % (19935)------------------------------
% 0.21/0.66 % (19935)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.66 % (19935)Termination reason: Unknown
% 0.21/0.66 % (19935)Termination phase: Saturation
% 0.21/0.66
% 0.21/0.66 % (19935)Memory used [KB]: 5628
% 0.21/0.66 % (19935)Time elapsed: 0.012 s
% 0.21/0.66 % (19935)Instructions burned: 42 (million)
% 0.21/0.66 % (19935)------------------------------
% 0.21/0.66 % (19935)------------------------------
% 0.21/0.66 % (19938)ott+1010_1:1_au=on:s2a=on:sd=7:ss=axioms:st=1.5:i=343:si=on:rtra=on_0 on theBenchmark for (2997ds/343Mi)
% 0.21/0.66 % (19937)Refutation not found, incomplete strategy
% 0.21/0.66 % (19937)------------------------------
% 0.21/0.66 % (19937)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.67 % (19937)Termination reason: Refutation not found, incomplete strategy
% 0.21/0.67
% 0.21/0.67
% 0.21/0.67 % (19937)Memory used [KB]: 5628
% 0.21/0.67 % (19937)Time elapsed: 0.006 s
% 0.21/0.67 % (19937)Instructions burned: 21 (million)
% 0.21/0.67 % (19937)------------------------------
% 0.21/0.67 % (19937)------------------------------
% 0.21/0.67 % (19938)Refutation not found, incomplete strategy
% 0.21/0.67 % (19938)------------------------------
% 0.21/0.67 % (19938)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.67 % (19938)Termination reason: Refutation not found, incomplete strategy
% 0.21/0.67
% 0.21/0.67
% 0.21/0.67 % (19938)Memory used [KB]: 5500
% 0.21/0.67 % (19938)Time elapsed: 0.003 s
% 0.21/0.67 % (19938)Instructions burned: 7 (million)
% 0.21/0.67 % (19938)------------------------------
% 0.21/0.67 % (19938)------------------------------
% 0.21/0.67 % (19939)ott+1010_1:4_cbe=off:chr=on:hfsq=on:hfsqr=1,16:hud=3:sac=on:sp=unary_frequency:ss=axioms:st=5.0:tnu=2:i=109:si=on:rtra=on_0 on theBenchmark for (2997ds/109Mi)
% 0.21/0.67 % (19940)dis+10_1:1_au=on:c=on:e2e=on:fsr=off:sos=all:sp=const_frequency:ss=axioms:i=253:si=on:rtra=on_0 on theBenchmark for (2997ds/253Mi)
% 0.21/0.68 % (19941)lrs+10_1:1_au=on:cnfonf=off:sd=1:sgt=16:ss=axioms:i=140:si=on:rtra=on_0 on theBenchmark for (2997ds/140Mi)
% 0.21/0.68 % (19940)Refutation not found, incomplete strategy
% 0.21/0.68 % (19940)------------------------------
% 0.21/0.68 % (19940)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.68 % (19940)Termination reason: Refutation not found, incomplete strategy
% 0.21/0.68
% 0.21/0.68
% 0.21/0.68 % (19940)Memory used [KB]: 5500
% 0.21/0.68 % (19940)Time elapsed: 0.003 s
% 0.21/0.68 % (19940)Instructions burned: 7 (million)
% 0.21/0.68 % (19940)------------------------------
% 0.21/0.68 % (19940)------------------------------
% 0.21/0.68 % (19941)Refutation not found, incomplete strategy
% 0.21/0.68 % (19941)------------------------------
% 0.21/0.68 % (19941)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.68 % (19941)Termination reason: Refutation not found, incomplete strategy
% 0.21/0.68
% 0.21/0.68
% 0.21/0.68 % (19941)Memory used [KB]: 5628
% 0.21/0.68 % (19941)Time elapsed: 0.004 s
% 0.21/0.68 % (19941)Instructions burned: 9 (million)
% 0.21/0.68 % (19941)------------------------------
% 0.21/0.68 % (19941)------------------------------
% 0.21/0.68 % (19942)dis+1010_16:1_acc=model:au=on:avsq=on:cond=fast:plsq=on:plsqc=2:plsqr=9267,262144:i=614:si=on:rtra=on_0 on theBenchmark for (2997ds/614Mi)
% 0.21/0.69 % (19944)lrs+1002_1:1_e2e=on:fde=unused:fe=axiom:prag=on:sd=1:sos=on:ss=axioms:st=2.0:i=202:si=on:rtra=on_0 on theBenchmark for (2996ds/202Mi)
% 2.74/0.69 % (19944)Refutation not found, incomplete strategy
% 2.74/0.69 % (19944)------------------------------
% 2.74/0.69 % (19944)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.74/0.69 % (19944)Termination reason: Refutation not found, incomplete strategy
% 2.74/0.69
% 2.74/0.69
% 2.74/0.69 % (19944)Memory used [KB]: 5628
% 2.74/0.69 % (19944)Time elapsed: 0.004 s
% 2.74/0.69 % (19944)Instructions burned: 6 (million)
% 2.74/0.69 % (19944)------------------------------
% 2.74/0.69 % (19944)------------------------------
% 2.74/0.70 % (19950)dis+1002_1:1_au=on:cs=on:ins=3:kws=inv_frequency:nwc=10.0:ss=axioms:st=3.0:i=339:si=on:rtra=on_0 on theBenchmark for (2996ds/339Mi)
% 2.74/0.70 % (19939)Instruction limit reached!
% 2.74/0.70 % (19939)------------------------------
% 2.74/0.70 % (19939)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.74/0.70 % (19939)Termination reason: Unknown
% 2.74/0.70 % (19939)Termination phase: Saturation
% 2.74/0.70
% 2.74/0.70 % (19939)Memory used [KB]: 6012
% 2.74/0.70 % (19939)Time elapsed: 0.032 s
% 2.74/0.70 % (19939)Instructions burned: 110 (million)
% 2.74/0.70 % (19939)------------------------------
% 2.74/0.70 % (19939)------------------------------
% 2.86/0.71 % (19798)Instruction limit reached!
% 2.86/0.71 % (19798)------------------------------
% 2.86/0.71 % (19798)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.86/0.71 % (19798)Termination reason: Unknown
% 2.86/0.71 % (19798)Termination phase: Saturation
% 2.86/0.71
% 2.86/0.71 % (19798)Memory used [KB]: 7164
% 2.86/0.71 % (19798)Time elapsed: 0.273 s
% 2.86/0.71 % (19798)Instructions burned: 780 (million)
% 2.86/0.71 % (19798)------------------------------
% 2.86/0.71 % (19798)------------------------------
% 2.86/0.71 % (19955)dis+10_1:1_anc=none:cnfonf=lazy_gen:fd=preordered:fe=off:hud=10:ins=3:ixr=off:nwc=5.0:plsq=on:plsqc=1:plsqr=32,1:sp=const_frequency:uhcvi=on:i=283:si=on:rtra=on_0 on theBenchmark for (2996ds/283Mi)
% 2.86/0.72 % (19958)dis+2_1:1_cha=on:hud=7:nwc=3.0:prag=on:tnu=2:i=134:si=on:rtra=on_0 on theBenchmark for (2996ds/134Mi)
% 2.98/0.73 % (19903)Instruction limit reached!
% 2.98/0.73 % (19903)------------------------------
% 2.98/0.73 % (19903)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.98/0.73 % (19903)Termination reason: Unknown
% 2.98/0.73 % (19903)Termination phase: Saturation
% 2.98/0.73
% 2.98/0.73 % (19903)Memory used [KB]: 2174
% 2.98/0.73 % (19903)Time elapsed: 0.142 s
% 2.98/0.73 % (19903)Instructions burned: 432 (million)
% 2.98/0.73 % (19903)------------------------------
% 2.98/0.73 % (19903)------------------------------
% 2.98/0.74 % (19964)dis+1010_1:64_cnfonf=lazy_simp:fd=off:i=298:si=on:rtra=on_0 on theBenchmark for (2996ds/298Mi)
% 2.98/0.76 % (19801)Instruction limit reached!
% 2.98/0.76 % (19801)------------------------------
% 2.98/0.76 % (19801)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.98/0.76 % (19801)Termination reason: Unknown
% 2.98/0.76 % (19801)Termination phase: Saturation
% 2.98/0.76
% 2.98/0.76 % (19801)Memory used [KB]: 8827
% 2.98/0.76 % (19801)Time elapsed: 0.313 s
% 2.98/0.76 % (19801)Instructions burned: 880 (million)
% 2.98/0.76 % (19801)------------------------------
% 2.98/0.76 % (19801)------------------------------
% 2.98/0.76 % (19958)Instruction limit reached!
% 2.98/0.76 % (19958)------------------------------
% 2.98/0.76 % (19958)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.98/0.76 % (19958)Termination reason: Unknown
% 2.98/0.76 % (19958)Termination phase: Saturation
% 2.98/0.76
% 2.98/0.76 % (19958)Memory used [KB]: 6140
% 2.98/0.76 % (19958)Time elapsed: 0.039 s
% 2.98/0.76 % (19958)Instructions burned: 136 (million)
% 2.98/0.76 % (19958)------------------------------
% 2.98/0.76 % (19958)------------------------------
% 2.98/0.76 % (19919)Instruction limit reached!
% 2.98/0.76 % (19919)------------------------------
% 2.98/0.76 % (19919)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.98/0.76 % (19919)Termination reason: Unknown
% 2.98/0.76 % (19919)Termination phase: Saturation
% 2.98/0.76
% 2.98/0.76 % (19919)Memory used [KB]: 6652
% 2.98/0.76 % (19919)Time elapsed: 0.150 s
% 2.98/0.76 % (19919)Instructions burned: 455 (million)
% 2.98/0.76 % (19919)------------------------------
% 2.98/0.76 % (19919)------------------------------
% 2.98/0.76 % (19973)lrs+2_1:8_erd=off:plsq=on:plsqr=32,1:sos=on:i=192:si=on:rtra=on_0 on theBenchmark for (2996ds/192Mi)
% 2.98/0.77 % (19974)lrs+10_1:1_bd=off:hud=1:nm=0:prag=on:sd=2:sgt=32:sos=all:ss=axioms:i=258:si=on:rtra=on_0 on theBenchmark for (2996ds/258Mi)
% 2.98/0.77 % (19975)lrs+1002_1:1024_au=on:cond=fast:ntd=on:piset=and:plsq=on:plsqc=1:plsqr=183491,1048576:sac=on:tgt=ground:i=90:si=on:rtra=on_0 on theBenchmark for (2995ds/90Mi)
% 2.98/0.78 % (19761)Instruction limit reached!
% 2.98/0.78 % (19761)------------------------------
% 2.98/0.78 % (19761)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.98/0.78 % (19761)Termination reason: Unknown
% 2.98/0.78 % (19761)Termination phase: Saturation
% 2.98/0.78
% 2.98/0.78 % (19761)Memory used [KB]: 8187
% 2.98/0.78 % (19761)Time elapsed: 0.389 s
% 2.98/0.78 % (19761)Instructions burned: 1042 (million)
% 2.98/0.78 % (19761)------------------------------
% 2.98/0.78 % (19761)------------------------------
% 2.98/0.79 % (19982)dis+1004_16:1_avsq=on:avsqr=1,16:cnfonf=lazy_gen:cs=on:fe=off:tgt=ground:tnu=1:i=231:si=on:rtra=on_0 on theBenchmark for (2995ds/231Mi)
% 2.98/0.80 % (19955)Instruction limit reached!
% 2.98/0.80 % (19955)------------------------------
% 2.98/0.80 % (19955)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.98/0.80 % (19955)Termination reason: Unknown
% 2.98/0.80 % (19955)Termination phase: Saturation
% 2.98/0.80
% 2.98/0.80 % (19955)Memory used [KB]: 6140
% 2.98/0.80 % (19955)Time elapsed: 0.087 s
% 2.98/0.80 % (19955)Instructions burned: 283 (million)
% 2.98/0.80 % (19955)------------------------------
% 2.98/0.80 % (19955)------------------------------
% 2.98/0.81 % (19975)Instruction limit reached!
% 2.98/0.81 % (19975)------------------------------
% 2.98/0.81 % (19975)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.98/0.81 % (19975)Termination reason: Unknown
% 2.98/0.81 % (19975)Termination phase: Saturation
% 2.98/0.81
% 2.98/0.81 % (19975)Memory used [KB]: 6012
% 2.98/0.81 % (19975)Time elapsed: 0.035 s
% 2.98/0.81 % (19975)Instructions burned: 90 (million)
% 2.98/0.81 % (19975)------------------------------
% 2.98/0.81 % (19975)------------------------------
% 2.98/0.81 % (19950)Instruction limit reached!
% 2.98/0.81 % (19950)------------------------------
% 2.98/0.81 % (19950)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.98/0.81 % (19950)Termination reason: Unknown
% 2.98/0.81 % (19950)Termination phase: Saturation
% 2.98/0.81
% 2.98/0.81 % (19950)Memory used [KB]: 6524
% 2.98/0.81 % (19950)Time elapsed: 0.109 s
% 2.98/0.81 % (19950)Instructions burned: 341 (million)
% 2.98/0.81 % (19950)------------------------------
% 2.98/0.81 % (19950)------------------------------
% 2.98/0.81 % (19986)lrs+1002_1:1_au=on:s2a=on:sgt=32:slsq=on:slsqc=1:slsql=off:ss=axioms:i=458:si=on:rtra=on_0 on theBenchmark for (2995ds/458Mi)
% 2.98/0.81 % (19989)lrs+1010_1:16_add=large:amm=off:anc=all_dependent:chr=on:fd=off:ins=2:sp=const_max:tnu=5:uhcvi=on:i=31:si=on:rtra=on_0 on theBenchmark for (2995ds/31Mi)
% 3.53/0.82 % (19990)lrs+10_1:1_cnfonf=lazy_gen:kws=inv_precedence:nwc=10.0:s2a=on:sp=weighted_frequency:ss=axioms:i=297:si=on:rtra=on_0 on theBenchmark for (2995ds/297Mi)
% 3.53/0.82 % (19990)Refutation not found, incomplete strategy
% 3.53/0.82 % (19990)------------------------------
% 3.53/0.82 % (19990)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 3.53/0.82 % (19990)Termination reason: Refutation not found, incomplete strategy
% 3.53/0.82
% 3.53/0.82
% 3.53/0.82 % (19990)Memory used [KB]: 5628
% 3.53/0.82 % (19990)Time elapsed: 0.004 s
% 3.53/0.82 % (19990)Instructions burned: 8 (million)
% 3.53/0.82 % (19990)------------------------------
% 3.53/0.82 % (19990)------------------------------
% 3.53/0.82 % (19989)Instruction limit reached!
% 3.53/0.82 % (19989)------------------------------
% 3.53/0.82 % (19989)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 3.53/0.82 % (19989)Termination reason: Unknown
% 3.53/0.82 % (19989)Termination phase: Saturation
% 3.53/0.82
% 3.53/0.82 % (19989)Memory used [KB]: 5628
% 3.53/0.82 % (19989)Time elapsed: 0.009 s
% 3.53/0.82 % (19989)Instructions burned: 31 (million)
% 3.53/0.82 % (19989)------------------------------
% 3.53/0.82 % (19989)------------------------------
% 3.53/0.82 % (19973)Instruction limit reached!
% 3.53/0.82 % (19973)------------------------------
% 3.53/0.82 % (19973)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 3.53/0.82 % (19973)Termination reason: Unknown
% 3.53/0.82 % (19973)Termination phase: Saturation
% 3.53/0.82
% 3.53/0.82 % (19973)Memory used [KB]: 6396
% 3.53/0.82 % (19973)Time elapsed: 0.058 s
% 3.53/0.82 % (19973)Instructions burned: 193 (million)
% 3.53/0.82 % (19973)------------------------------
% 3.53/0.82 % (19973)------------------------------
% 3.53/0.83 % (19998)dis+2_1:4_amm=off:au=on:cbe=off:cnfonf=lazy_gen:hfaw=0:hfsq=on:hfsql=off:plsq=on:plsqc=1:plsqr=35,4:sac=on:i=987:si=on:rtra=on_0 on theBenchmark for (2995ds/987Mi)
% 3.53/0.83 % (20001)lrs+10_1:1024_avsq=on:avsqc=4:avsqr=584411,1048576:bd=off:bet=on:br=off:chr=on:fsd=on:fsdmm=1:hud=10:nm=0:ntd=on:nwc=9.0:piset=or:plsq=on:plsqc=2:plsql=on:plsqr=852219,1048576:rawr=on:sp=const_frequency:spb=units:i=182:si=on:rtra=on_0 on theBenchmark for (2995ds/182Mi)
% 3.53/0.83 % (20002)dis+10_1:1_au=on:e2e=on:fde=none:nwc=10.0:s2a=on:s2at=2.0:i=182:si=on:rtra=on_0 on theBenchmark for (2995ds/182Mi)
% 3.53/0.84 % (19964)Instruction limit reached!
% 3.53/0.84 % (19964)------------------------------
% 3.53/0.84 % (19964)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 3.53/0.84 % (19964)Termination reason: Unknown
% 3.53/0.84 % (19964)Termination phase: Saturation
% 3.53/0.84
% 3.53/0.84 % (19964)Memory used [KB]: 6652
% 3.53/0.84 % (19964)Time elapsed: 0.097 s
% 3.53/0.84 % (19964)Instructions burned: 299 (million)
% 3.53/0.84 % (19964)------------------------------
% 3.53/0.84 % (19964)------------------------------
% 3.53/0.84 % (19974)Instruction limit reached!
% 3.53/0.84 % (19974)------------------------------
% 3.53/0.84 % (19974)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 3.53/0.84 % (19974)Termination reason: Unknown
% 3.53/0.84 % (19974)Termination phase: Saturation
% 3.53/0.84
% 3.53/0.84 % (19974)Memory used [KB]: 6908
% 3.53/0.84 % (19974)Time elapsed: 0.079 s
% 3.53/0.84 % (19974)Instructions burned: 258 (million)
% 3.53/0.84 % (19974)------------------------------
% 3.53/0.84 % (19974)------------------------------
% 3.53/0.84 % (20011)dis+10_1:8_cha=on:cnfonf=lazy_pi_sigma_gen:fe=axiom:hud=5:plsq=on:plsqr=32,1:prag=on:sos=all:i=154:si=on:rtra=on_0 on theBenchmark for (2995ds/154Mi)
% 3.53/0.85 % (20016)dis+1003_1:64_atotf=0.4:au=on:fsr=off:hflw=5:hfsq=on:hfsqc=20:hfsql=off:plsq=on:plsqc=1:plsqr=32,1:i=79:si=on:rtra=on_0 on theBenchmark for (2995ds/79Mi)
% 3.53/0.87 % (19982)Instruction limit reached!
% 3.53/0.87 % (19982)------------------------------
% 3.53/0.87 % (19982)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 3.53/0.87 % (19982)Termination reason: Unknown
% 3.53/0.87 % (19982)Termination phase: Saturation
% 3.53/0.87
% 3.53/0.87 % (19982)Memory used [KB]: 6652
% 3.53/0.87 % (19982)Time elapsed: 0.080 s
% 3.53/0.87 % (19982)Instructions burned: 232 (million)
% 3.53/0.87 % (19982)------------------------------
% 3.53/0.87 % (19982)------------------------------
% 3.53/0.87 % (20016)Instruction limit reached!
% 3.53/0.87 % (20016)------------------------------
% 3.53/0.87 % (20016)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 3.53/0.87 % (20016)Termination reason: Unknown
% 3.53/0.87 % (20016)Termination phase: Saturation
% 3.53/0.87
% 3.53/0.87 % (20016)Memory used [KB]: 5884
% 3.53/0.87 % (20016)Time elapsed: 0.021 s
% 3.53/0.87 % (20016)Instructions burned: 79 (million)
% 3.53/0.87 % (20016)------------------------------
% 3.53/0.87 % (20016)------------------------------
% 3.53/0.87 % (20029)dis+1010_5:2_anc=all_dependent:awrs=converge:bd=off:bet=on:c=on:cha=on:cnfonf=lazy_not_gen_be_off:fe=axiom:hud=5:kws=precedence:piset=and:prag=on:s2a=on:sac=on:slsq=on:slsqc=1:sp=reverse_arity:ss=axioms:st=1.5:i=216:si=on:rtra=on_0 on theBenchmark for (2994ds/216Mi)
% 3.53/0.88 % (20001)Instruction limit reached!
% 3.53/0.88 % (20001)------------------------------
% 3.53/0.88 % (20001)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 3.53/0.88 % (20001)Termination reason: Unknown
% 3.53/0.88 % (20001)Termination phase: Saturation
% 3.53/0.88
% 3.53/0.88 % (20001)Memory used [KB]: 6396
% 3.53/0.88 % (20001)Time elapsed: 0.050 s
% 3.53/0.88 % (20001)Instructions burned: 183 (million)
% 3.53/0.88 % (20001)------------------------------
% 3.53/0.88 % (20001)------------------------------
% 3.53/0.88 % (20031)lrs+1002_1:1_fe=off:hud=10:ins=2:sac=on:sp=const_frequency:i=114:si=on:rtra=on_0 on theBenchmark for (2994ds/114Mi)
% 4.06/0.88 % (20029)Refutation not found, incomplete strategy
% 4.06/0.88 % (20029)------------------------------
% 4.06/0.88 % (20029)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 4.06/0.88 % (20029)Termination reason: Refutation not found, incomplete strategy
% 4.06/0.88
% 4.06/0.88
% 4.06/0.88 % (20029)Memory used [KB]: 5628
% 4.06/0.88 % (20029)Time elapsed: 0.010 s
% 4.06/0.88 % (20029)Instructions burned: 36 (million)
% 4.06/0.88 % (20029)------------------------------
% 4.06/0.88 % (20029)------------------------------
% 4.06/0.88 % (20031)Refutation not found, incomplete strategy
% 4.06/0.88 % (20031)------------------------------
% 4.06/0.88 % (20031)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 4.06/0.88 % (20031)Termination reason: Refutation not found, incomplete strategy
% 4.06/0.88
% 4.06/0.88
% 4.06/0.88 % (20031)Memory used [KB]: 5628
% 4.06/0.88 % (20031)Time elapsed: 0.007 s
% 4.06/0.88 % (20031)Instructions burned: 25 (million)
% 4.06/0.88 % (20031)------------------------------
% 4.06/0.88 % (20031)------------------------------
% 4.06/0.89 % (20034)dis+1002_1:1_acc=on:au=on:bd=off:e2e=on:sgt=8:ss=axioms:i=922:si=on:rtra=on_0 on theBenchmark for (2994ds/922Mi)
% 4.06/0.89 % (19942)Instruction limit reached!
% 4.06/0.89 % (19942)------------------------------
% 4.06/0.89 % (19942)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 4.06/0.89 % (19942)Termination reason: Unknown
% 4.06/0.89 % (19942)Termination phase: Saturation
% 4.06/0.89
% 4.06/0.89 % (19942)Memory used [KB]: 8443
% 4.06/0.89 % (19942)Time elapsed: 0.224 s
% 4.06/0.89 % (19942)Instructions burned: 617 (million)
% 4.06/0.89 % (19942)------------------------------
% 4.06/0.89 % (19942)------------------------------
% 4.06/0.89 % (20002)Instruction limit reached!
% 4.06/0.89 % (20002)------------------------------
% 4.06/0.89 % (20002)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 4.06/0.89 % (20002)Termination reason: Unknown
% 4.06/0.89 % (20002)Termination phase: Saturation
% 4.06/0.89
% 4.06/0.89 % (20002)Memory used [KB]: 5884
% 4.06/0.89 % (20002)Time elapsed: 0.061 s
% 4.06/0.89 % (20002)Instructions burned: 183 (million)
% 4.06/0.89 % (20002)------------------------------
% 4.06/0.89 % (20002)------------------------------
% 4.06/0.89 % (20011)Instruction limit reached!
% 4.06/0.89 % (20011)------------------------------
% 4.06/0.89 % (20011)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 4.06/0.89 % (20011)Termination reason: Unknown
% 4.06/0.89 % (20011)Termination phase: Saturation
% 4.06/0.89
% 4.06/0.89 % (20011)Memory used [KB]: 6012
% 4.06/0.89 % (20011)Time elapsed: 0.048 s
% 4.06/0.89 % (20011)Instructions burned: 156 (million)
% 4.06/0.89 % (20011)------------------------------
% 4.06/0.89 % (20011)------------------------------
% 4.06/0.89 % (20036)lrs+10_1:128_au=on:bd=off:cnfonf=lazy_not_gen_be_off:nwc=10.0:piset=and:i=182:si=on:rtra=on_0 on theBenchmark for (2994ds/182Mi)
% 4.06/0.89 % (20037)ott+1010_1:1024_au=on:av=off:c=on:cnfonf=conj_eager:piset=equals:s2a=on:sp=occurrence:spb=units:ss=axioms:i=164:si=on:rtra=on_0 on theBenchmark for (2994ds/164Mi)
% 4.06/0.89 % (20037)Refutation not found, incomplete strategy
% 4.06/0.89 % (20037)------------------------------
% 4.06/0.89 % (20037)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 4.06/0.89 % (20037)Termination reason: Refutation not found, incomplete strategy
% 4.06/0.89
% 4.06/0.89
% 4.06/0.89 % (20037)Memory used [KB]: 1023
% 4.06/0.89 % (20037)Time elapsed: 0.003 s
% 4.06/0.89 % (20037)Instructions burned: 7 (million)
% 4.06/0.89 % (20037)------------------------------
% 4.06/0.89 % (20037)------------------------------
% 4.06/0.89 % (20038)lrs+1004_1:1_cnfonf=lazy_pi_sigma_gen:fe=off:gs=on:hud=10:prag=on:tnu=1:i=50:si=on:rtra=on_0 on theBenchmark for (2994ds/50Mi)
% 4.06/0.90 % (20039)dis-30_1:1_acc=on:bd=off:fsr=off:plsq=on:plsqr=32,1:i=368:si=on:rtra=on_0 on theBenchmark for (2994ds/368Mi)
% 4.06/0.90 % (20040)dis+2_1:1_bd=off:e2e=on:hud=1:nm=3:piset=or:prag=on:s2a=on:sp=const_max:i=1021:si=on:rtra=on_0 on theBenchmark for (2994ds/1021Mi)
% 4.06/0.90 % (20041)dis+10_1:1_cnfonf=lazy_gen:fe=off:plsq=on:plsqc=1:plsqr=32,1:prag=on:i=267:si=on:rtra=on_0 on theBenchmark for (2994ds/267Mi)
% 4.06/0.91 % (20038)Instruction limit reached!
% 4.06/0.91 % (20038)------------------------------
% 4.06/0.91 % (20038)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 4.06/0.91 % (20038)Termination reason: Unknown
% 4.06/0.91 % (20038)Termination phase: Saturation
% 4.06/0.91
% 4.06/0.91 % (20038)Memory used [KB]: 10234
% 4.06/0.91 % (20038)Time elapsed: 0.015 s
% 4.06/0.91 % (20038)Instructions burned: 52 (million)
% 4.06/0.91 % (20038)------------------------------
% 4.06/0.91 % (20038)------------------------------
% 4.06/0.92 % (20042)dis+21_1:5_au=on:ntd=on:nwc=5.0:s2a=on:ss=axioms:st=5.0:i=204:si=on:rtra=on_0 on theBenchmark for (2994ds/204Mi)
% 4.06/0.93 % (19986)Refutation not found, non-redundant clauses discarded% (19986)------------------------------
% 4.06/0.93 % (19986)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 4.06/0.93 % (19986)Termination reason: Refutation not found, non-redundant clauses discarded
% 4.06/0.93
% 4.06/0.93 % (19986)Memory used [KB]: 7547
% 4.06/0.93 % (19986)Time elapsed: 0.124 s
% 4.06/0.93 % (19986)Instructions burned: 402 (million)
% 4.06/0.93 % (19986)------------------------------
% 4.06/0.93 % (19986)------------------------------
% 4.06/0.94 % (20043)dis+2_1:1024_atotf=0.0802881:au=on:bs=unit_only:cnfonf=lazy_not_gen_be_off:fde=none:nwc=10.0:prag=on:i=26:si=on:rtra=on_0 on theBenchmark for (2994ds/26Mi)
% 4.06/0.94 % (20036)Instruction limit reached!
% 4.06/0.94 % (20036)------------------------------
% 4.06/0.94 % (20036)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 4.06/0.94 % (20036)Termination reason: Unknown
% 4.06/0.94 % (20036)Termination phase: Saturation
% 4.06/0.94
% 4.06/0.94 % (20036)Memory used [KB]: 5756
% 4.06/0.94 % (20036)Time elapsed: 0.049 s
% 4.06/0.94 % (20036)Instructions burned: 182 (million)
% 4.06/0.94 % (20036)------------------------------
% 4.06/0.94 % (20036)------------------------------
% 4.06/0.95 % (20043)Instruction limit reached!
% 4.06/0.95 % (20043)------------------------------
% 4.06/0.95 % (20043)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 4.06/0.95 % (20043)Termination reason: Unknown
% 4.06/0.95 % (20043)Termination phase: Saturation
% 4.06/0.95
% 4.06/0.95 % (20043)Memory used [KB]: 5628
% 4.06/0.95 % (20043)Time elapsed: 0.010 s
% 4.06/0.95 % (20043)Instructions burned: 26 (million)
% 4.06/0.95 % (20043)------------------------------
% 4.06/0.95 % (20043)------------------------------
% 4.06/0.95 % (20044)dis+1002_1:1_bd=preordered:c=on:cbe=off:cnfonf=lazy_not_gen_be_off:hud=10:ixr=off:prag=on:i=53:si=on:rtra=on_0 on theBenchmark for (2994ds/53Mi)
% 4.06/0.95 % (20045)dis+1002_1:1_aac=none:au=on:e2e=on:nm=2:nwc=10.0:sd=1:ss=axioms:st=3.0:i=4436:si=on:rtra=on_0 on theBenchmark for (2994ds/4436Mi)
% 4.06/0.96 % (20045)Refutation not found, incomplete strategy
% 4.06/0.96 % (20045)------------------------------
% 4.06/0.96 % (20045)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 4.06/0.96 % (20045)Termination reason: Refutation not found, incomplete strategy
% 4.06/0.96
% 4.06/0.96
% 4.06/0.96 % (20045)Memory used [KB]: 5628
% 4.06/0.96 % (20045)Time elapsed: 0.004 s
% 4.06/0.96 % (20045)Instructions burned: 9 (million)
% 4.06/0.96 % (20045)------------------------------
% 4.06/0.96 % (20045)------------------------------
% 4.06/0.96 % (20044)Instruction limit reached!
% 4.06/0.96 % (20044)------------------------------
% 4.06/0.96 % (20044)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 4.06/0.96 % (20044)Termination reason: Unknown
% 4.06/0.96 % (20044)Termination phase: Saturation
% 4.06/0.96
% 4.06/0.96 % (20044)Memory used [KB]: 5628
% 4.06/0.96 % (20044)Time elapsed: 0.014 s
% 4.06/0.96 % (20044)Instructions burned: 54 (million)
% 4.06/0.96 % (20044)------------------------------
% 4.06/0.96 % (20044)------------------------------
% 4.49/0.97 % (20046)dis+1010_1:1_acc=model:avsq=on:ixr=off:prag=on:s2a=on:sac=on:i=1539:si=on:rtra=on_0 on theBenchmark for (2994ds/1539Mi)
% 4.49/0.97 % (20047)lrs+2_1:1_bd=off:e2e=on:fde=none:kws=inv_precedence:plsq=on:plsqr=32,1:sos=on:i=408:si=on:rtra=on_0 on theBenchmark for (2994ds/408Mi)
% 4.49/0.97 % (20042)Instruction limit reached!
% 4.49/0.97 % (20042)------------------------------
% 4.49/0.97 % (20042)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 4.49/0.97 % (20042)Termination reason: Unknown
% 4.49/0.97 % (20042)Termination phase: Saturation
% 4.49/0.97
% 4.49/0.97 % (20042)Memory used [KB]: 6652
% 4.49/0.97 % (20042)Time elapsed: 0.058 s
% 4.49/0.97 % (20042)Instructions burned: 205 (million)
% 4.49/0.97 % (20042)------------------------------
% 4.49/0.97 % (20042)------------------------------
% 4.55/0.98 % (20041)Instruction limit reached!
% 4.55/0.98 % (20041)------------------------------
% 4.55/0.98 % (20041)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 4.55/0.98 % (20041)Termination reason: Unknown
% 4.55/0.98 % (20041)Termination phase: Saturation
% 4.55/0.98
% 4.55/0.98 % (20041)Memory used [KB]: 6140
% 4.55/0.98 % (20041)Time elapsed: 0.077 s
% 4.55/0.98 % (20041)Instructions burned: 269 (million)
% 4.55/0.98 % (20041)------------------------------
% 4.55/0.98 % (20041)------------------------------
% 4.55/0.98 % (20048)lrs+1002_1:1_aac=none:au=on:cnfonf=lazy_gen:plsq=on:plsqc=1:plsqr=4203469,65536:i=5205:si=on:rtra=on_0 on theBenchmark for (2993ds/5205Mi)
% 4.55/0.99 % (20049)dis+1010_1:4_au=on:av=off:cbe=off:nwc=10.0:s2a=on:s2at=3.0:sd=2:ss=axioms:st=5.0:i=1913:si=on:rtra=on_0 on theBenchmark for (2993ds/1913Mi)
% 4.55/0.99 % (20049)Refutation not found, incomplete strategy
% 4.55/0.99 % (20049)------------------------------
% 4.55/0.99 % (20049)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 4.55/0.99 % (20049)Termination reason: Refutation not found, incomplete strategy
% 4.55/0.99
% 4.55/0.99
% 4.55/0.99 % (20049)Memory used [KB]: 1151
% 4.55/0.99 % (20049)Time elapsed: 0.007 s
% 4.55/0.99 % (20049)Instructions burned: 24 (million)
% 4.55/0.99 % (20049)------------------------------
% 4.55/0.99 % (20049)------------------------------
% 4.55/1.00 % (20050)lrs+2_1:1_bd=off:cbe=off:piset=equals:sd=1:sgt=20:sos=all:ss=axioms:i=4350:si=on:rtra=on_0 on theBenchmark for (2993ds/4350Mi)
% 4.65/1.01 % (20039)Instruction limit reached!
% 4.65/1.01 % (20039)------------------------------
% 4.65/1.01 % (20039)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 4.65/1.01 % (20039)Termination reason: Unknown
% 4.65/1.01 % (20039)Termination phase: Saturation
% 4.65/1.01
% 4.65/1.01 % (20039)Memory used [KB]: 7675
% 4.65/1.01 % (20039)Time elapsed: 0.115 s
% 4.65/1.01 % (20039)Instructions burned: 368 (million)
% 4.65/1.01 % (20039)------------------------------
% 4.65/1.01 % (20039)------------------------------
% 4.65/1.02 % (20051)ott+1010_1:4_cbe=off:chr=on:hfsq=on:hfsqr=1,16:hud=3:sac=on:sp=unary_frequency:ss=axioms:st=5.0:tnu=2:i=68:si=on:rtra=on_0 on theBenchmark for (2993ds/68Mi)
% 4.77/1.04 % (20051)Instruction limit reached!
% 4.77/1.04 % (20051)------------------------------
% 4.77/1.04 % (20051)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 4.77/1.04 % (20051)Termination reason: Unknown
% 4.77/1.04 % (20051)Termination phase: Saturation
% 4.77/1.04
% 4.77/1.04 % (20051)Memory used [KB]: 5756
% 4.77/1.04 % (20051)Time elapsed: 0.019 s
% 4.77/1.04 % (20051)Instructions burned: 71 (million)
% 4.77/1.04 % (20051)------------------------------
% 4.77/1.04 % (20051)------------------------------
% 4.77/1.04 % (20052)dis+10_1:1_au=on:nwc=5.0:s2a=on:s2at=2.0:sac=on:sd=7:ss=axioms:st=2.0:i=358:si=on:rtra=on_0 on theBenchmark for (2993ds/358Mi)
% 4.77/1.05 % (20052)Refutation not found, incomplete strategy
% 4.77/1.05 % (20052)------------------------------
% 4.77/1.05 % (20052)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 4.77/1.05 % (20052)Termination reason: Refutation not found, incomplete strategy
% 4.77/1.05
% 4.77/1.05
% 4.77/1.05 % (20052)Memory used [KB]: 5628
% 4.77/1.05 % (20052)Time elapsed: 0.005 s
% 4.77/1.05 % (20052)Instructions burned: 15 (million)
% 4.77/1.05 % (20052)------------------------------
% 4.77/1.05 % (20052)------------------------------
% 4.77/1.06 % (20053)lrs+1010_1:16_add=large:amm=off:anc=all_dependent:chr=on:fd=off:ins=2:sp=const_max:tnu=5:uhcvi=on:i=31:si=on:rtra=on_0 on theBenchmark for (2993ds/31Mi)
% 4.77/1.06 % (20053)Instruction limit reached!
% 4.77/1.06 % (20053)------------------------------
% 4.77/1.06 % (20053)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 4.77/1.06 % (20053)Termination reason: Unknown
% 4.77/1.06 % (20053)Termination phase: Saturation
% 4.77/1.06
% 4.77/1.06 % (20053)Memory used [KB]: 5628
% 4.77/1.06 % (20053)Time elapsed: 0.009 s
% 4.77/1.06 % (20053)Instructions burned: 31 (million)
% 4.77/1.06 % (20053)------------------------------
% 4.77/1.06 % (20053)------------------------------
% 4.77/1.07 % (20054)lrs+10_1:1_cnfonf=lazy_simp:sgt=5:sos=on:ss=axioms:i=279:si=on:rtra=on_0 on theBenchmark for (2993ds/279Mi)
% 4.77/1.09 % (20047)Instruction limit reached!
% 4.77/1.09 % (20047)------------------------------
% 4.77/1.09 % (20047)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 4.77/1.09 % (20047)Termination reason: Unknown
% 4.77/1.09 % (20047)Termination phase: Saturation
% 4.77/1.09
% 4.77/1.09 % (20047)Memory used [KB]: 6908
% 4.77/1.09 % (20047)Time elapsed: 0.124 s
% 4.77/1.09 % (20047)Instructions burned: 411 (million)
% 4.77/1.09 % (20047)------------------------------
% 4.77/1.09 % (20047)------------------------------
% 4.77/1.10 % (20055)lrs+10_8:1_au=on:fde=none:slsq=on:i=258:si=on:rtra=on_0 on theBenchmark for (2992ds/258Mi)
% 4.95/1.11 % (19998)Instruction limit reached!
% 4.95/1.11 % (19998)------------------------------
% 4.95/1.11 % (19998)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 4.95/1.11 % (19998)Termination reason: Unknown
% 4.95/1.11 % (19998)Termination phase: Saturation
% 4.95/1.11
% 4.95/1.11 % (19998)Memory used [KB]: 7164
% 4.95/1.11 % (19998)Time elapsed: 0.289 s
% 4.95/1.11 % (19998)Instructions burned: 987 (million)
% 4.95/1.11 % (19998)------------------------------
% 4.95/1.11 % (19998)------------------------------
% 4.95/1.12 % (20056)dis+2_1:1024_atotf=0.0802881:au=on:bs=unit_only:cnfonf=lazy_not_gen_be_off:fde=none:nwc=10.0:prag=on:i=26:si=on:rtra=on_0 on theBenchmark for (2992ds/26Mi)
% 4.95/1.13 % (20056)Instruction limit reached!
% 4.95/1.13 % (20056)------------------------------
% 4.95/1.13 % (20056)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 4.95/1.13 % (20056)Termination reason: Unknown
% 4.95/1.13 % (20056)Termination phase: Saturation
% 4.95/1.13
% 4.95/1.13 % (20056)Memory used [KB]: 5628
% 4.95/1.13 % (20056)Time elapsed: 0.010 s
% 4.95/1.13 % (20056)Instructions burned: 26 (million)
% 4.95/1.13 % (20056)------------------------------
% 4.95/1.13 % (20056)------------------------------
% 4.95/1.14 % (20057)lrs+1010_1:1_au=on:cbe=off:cnfonf=lazy_not_be_gen:ntd=on:pe=on:i=995:si=on:rtra=on_0 on theBenchmark for (2992ds/995Mi)
% 4.95/1.15 % (20054)Instruction limit reached!
% 4.95/1.15 % (20054)------------------------------
% 4.95/1.15 % (20054)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 4.95/1.15 % (20054)Termination reason: Unknown
% 4.95/1.15 % (20054)Termination phase: Saturation
% 4.95/1.15
% 4.95/1.15 % (20054)Memory used [KB]: 5884
% 4.95/1.15 % (20054)Time elapsed: 0.081 s
% 4.95/1.15 % (20054)Instructions burned: 280 (million)
% 4.95/1.15 % (20054)------------------------------
% 4.95/1.15 % (20054)------------------------------
% 4.95/1.16 % (20058)dis+10_1:8_amm=sco:cbe=off:hflw=5:hfsq=on:hfsqc=14:hfsql=off:hfsqr=4,1:hud=5:ile=on:lma=on:nm=2:ntd=on:prag=on:sac=on:sp=frequency:i=373:si=on:rtra=on_0 on theBenchmark for (2992ds/373Mi)
% 4.95/1.17 % (20034)Instruction limit reached!
% 4.95/1.17 % (20034)------------------------------
% 4.95/1.17 % (20034)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 4.95/1.17 % (20034)Termination reason: Unknown
% 4.95/1.17 % (20034)Termination phase: Saturation
% 4.95/1.17
% 4.95/1.17 % (20034)Memory used [KB]: 9594
% 4.95/1.17 % (20034)Time elapsed: 0.288 s
% 4.95/1.17 % (20034)Instructions burned: 922 (million)
% 4.95/1.17 % (20034)------------------------------
% 4.95/1.17 % (20034)------------------------------
% 4.95/1.17 % (20055)Refutation not found, non-redundant clauses discarded% (20055)------------------------------
% 4.95/1.17 % (20055)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 4.95/1.17 % (20055)Termination reason: Refutation not found, non-redundant clauses discarded
% 4.95/1.17
% 4.95/1.17 % (20055)Memory used [KB]: 6140
% 4.95/1.17 % (20055)Time elapsed: 0.097 s
% 4.95/1.17 % (20055)Instructions burned: 230 (million)
% 4.95/1.17 % (20055)------------------------------
% 4.95/1.17 % (20055)------------------------------
% 4.95/1.18 % (20059)lrs+1010_1:128_au=on:cnfonf=lazy_pi_sigma_gen:hflw=4:hfsq=on:hfsqc=20:hfsql=off:i=253:si=on:rtra=on_0 on theBenchmark for (2991ds/253Mi)
% 4.95/1.18 % (20060)lrs+1002_1:14_au=on:bd=off:e2e=on:fde=unused:sac=on:sos=on:i=832:si=on:rtra=on_0 on theBenchmark for (2991ds/832Mi)
% 4.95/1.18 % (20060)Refutation not found, incomplete strategy
% 4.95/1.18 % (20060)------------------------------
% 4.95/1.18 % (20060)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 4.95/1.18 % (20060)Termination reason: Refutation not found, incomplete strategy
% 4.95/1.18
% 4.95/1.18
% 4.95/1.18 % (20060)Memory used [KB]: 5500
% 4.95/1.18 % (20060)Time elapsed: 0.003 s
% 4.95/1.18 % (20060)Instructions burned: 6 (million)
% 4.95/1.18 % (20060)------------------------------
% 4.95/1.18 % (20060)------------------------------
% 5.73/1.19 % (20061)lrs+1010_1:1_chr=on:cnfonf=lazy_not_be_gen:gs=on:hud=5:plsq=on:plsqc=1:plsqr=5,1:prag=on:rawr=on:i=668:si=on:rtra=on_0 on theBenchmark for (2991ds/668Mi)
% 5.73/1.22 % (20040)Instruction limit reached!
% 5.73/1.22 % (20040)------------------------------
% 5.73/1.22 % (20040)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 5.73/1.22 % (20040)Termination reason: Unknown
% 5.73/1.22 % (20040)Termination phase: Saturation
% 5.73/1.22
% 5.73/1.22 % (20040)Memory used [KB]: 9338
% 5.73/1.22 % (20040)Time elapsed: 0.321 s
% 5.73/1.22 % (20040)Instructions burned: 1022 (million)
% 5.73/1.22 % (20040)------------------------------
% 5.73/1.22 % (20040)------------------------------
% 5.73/1.23 % (20062)dis+10_1:1_anc=none:cnfonf=lazy_gen:fd=preordered:fe=off:hud=10:ins=3:ixr=off:nwc=5.0:plsq=on:plsqc=1:plsqr=32,1:sp=const_frequency:uhcvi=on:i=40:si=on:rtra=on_0 on theBenchmark for (2991ds/40Mi)
% 5.73/1.24 % (20062)Instruction limit reached!
% 5.73/1.24 % (20062)------------------------------
% 5.73/1.24 % (20062)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 5.73/1.24 % (20062)Termination reason: Unknown
% 5.73/1.24 % (20062)Termination phase: Saturation
% 5.73/1.24
% 5.73/1.24 % (20062)Memory used [KB]: 5756
% 5.73/1.24 % (20062)Time elapsed: 0.012 s
% 5.73/1.24 % (20062)Instructions burned: 41 (million)
% 5.73/1.24 % (20062)------------------------------
% 5.73/1.24 % (20062)------------------------------
% 5.73/1.24 % (20063)lrs+1010_1:1_cnfonf=lazy_pi_sigma_gen:fd=off:ntd=on:sd=1:sgt=32:sos=on:ss=axioms:i=294:si=on:rtra=on_0 on theBenchmark for (2991ds/294Mi)
% 5.73/1.25 % (20059)Instruction limit reached!
% 5.73/1.25 % (20059)------------------------------
% 5.73/1.25 % (20059)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 5.73/1.25 % (20059)Termination reason: Unknown
% 5.73/1.25 % (20059)Termination phase: Saturation
% 5.73/1.25
% 5.73/1.25 % (20059)Memory used [KB]: 6140
% 5.73/1.25 % (20059)Time elapsed: 0.076 s
% 5.73/1.25 % (20059)Instructions burned: 255 (million)
% 5.73/1.25 % (20059)------------------------------
% 5.73/1.25 % (20059)------------------------------
% 5.73/1.26 % (20064)dis+1010_1:1_avsq=on:fe=off:fsr=off:hud=10:plsq=on:plsqr=32,1:prag=on:i=187:si=on:rtra=on_0 on theBenchmark for (2991ds/187Mi)
% 5.73/1.27 % (20058)Instruction limit reached!
% 5.73/1.27 % (20058)------------------------------
% 5.73/1.27 % (20058)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 5.73/1.27 % (20058)Termination reason: Unknown
% 5.73/1.27 % (20058)Termination phase: Saturation
% 5.73/1.27
% 5.73/1.27 % (20058)Memory used [KB]: 6908
% 5.73/1.27 % (20058)Time elapsed: 0.135 s
% 5.73/1.27 % (20058)Instructions burned: 374 (million)
% 5.73/1.27 % (20058)------------------------------
% 5.73/1.27 % (20058)------------------------------
% 7.41/1.28 % (20065)lrs+1010_2:3_au=on:fsr=off:sd=4:ss=axioms:st=1.5:i=371:si=on:rtra=on_0 on theBenchmark for (2990ds/371Mi)
% 7.41/1.28 % (20065)Refutation not found, incomplete strategy
% 7.41/1.28 % (20065)------------------------------
% 7.41/1.28 % (20065)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 7.41/1.28 % (20065)Termination reason: Refutation not found, incomplete strategy
% 7.41/1.28
% 7.41/1.28
% 7.41/1.28 % (20065)Memory used [KB]: 5500
% 7.41/1.28 % (20065)Time elapsed: 0.003 s
% 7.41/1.28 % (20065)Instructions burned: 6 (million)
% 7.41/1.28 % (20065)------------------------------
% 7.41/1.28 % (20065)------------------------------
% 7.52/1.29 % (20066)dis+1003_1:1_au=on:bd=preordered:fde=none:ixr=off:nwc=10.0:i=1827:si=on:rtra=on_0 on theBenchmark for (2990ds/1827Mi)
% 7.52/1.31 % (20064)Instruction limit reached!
% 7.52/1.31 % (20064)------------------------------
% 7.52/1.31 % (20064)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 7.52/1.31 % (20064)Termination reason: Unknown
% 7.52/1.31 % (20064)Termination phase: Saturation
% 7.52/1.31
% 7.52/1.31 % (20064)Memory used [KB]: 6652
% 7.52/1.31 % (20064)Time elapsed: 0.053 s
% 7.52/1.31 % (20064)Instructions burned: 189 (million)
% 7.52/1.31 % (20064)------------------------------
% 7.52/1.31 % (20064)------------------------------
% 7.73/1.32 % (20067)lrs+10_1:1_av=off:bd=off:cnfonf=lazy_gen:fe=off:hud=10:plsq=on:plsqc=1:plsqr=32,1:tnu=1:i=70:si=on:rtra=on_0 on theBenchmark for (2990ds/70Mi)
% 7.79/1.33 % (20063)Instruction limit reached!
% 7.79/1.33 % (20063)------------------------------
% 7.79/1.33 % (20063)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 7.79/1.33 % (20063)Termination reason: Unknown
% 7.79/1.33 % (20063)Termination phase: Saturation
% 7.79/1.33
% 7.79/1.33 % (20063)Memory used [KB]: 6012
% 7.79/1.33 % (20063)Time elapsed: 0.084 s
% 7.79/1.33 % (20063)Instructions burned: 296 (million)
% 7.79/1.33 % (20063)------------------------------
% 7.79/1.33 % (20063)------------------------------
% 7.79/1.34 % (20068)lrs+10_1:20_bd=off:cnfonf=lazy_not_be_gen:fe=axiom:hud=10:ins=1:nm=20:prag=on:sos=on:i=316:si=on:rtra=on_0 on theBenchmark for (2990ds/316Mi)
% 7.79/1.34 % (20067)Instruction limit reached!
% 7.79/1.34 % (20067)------------------------------
% 7.79/1.34 % (20067)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 7.79/1.34 % (20067)Termination reason: Unknown
% 7.79/1.34 % (20067)Termination phase: Saturation
% 7.79/1.34
% 7.79/1.34 % (20067)Memory used [KB]: 1279
% 7.79/1.34 % (20067)Time elapsed: 0.021 s
% 7.79/1.34 % (20067)Instructions burned: 72 (million)
% 7.79/1.34 % (20067)------------------------------
% 7.79/1.34 % (20067)------------------------------
% 7.79/1.35 % (20069)ott+1010_1:1_cnfonf=lazy_gen:fe=off:plsq=on:plsqc=1:plsqr=3548551,65536:s2a=on:i=932:si=on:rtra=on_0 on theBenchmark for (2990ds/932Mi)
% 7.79/1.37 % (20061)Instruction limit reached!
% 7.79/1.37 % (20061)------------------------------
% 7.79/1.37 % (20061)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 7.79/1.37 % (20061)Termination reason: Unknown
% 7.79/1.37 % (20061)Termination phase: Saturation
% 7.79/1.37
% 7.79/1.37 % (20061)Memory used [KB]: 10746
% 7.79/1.37 % (20061)Time elapsed: 0.179 s
% 7.79/1.37 % (20061)Instructions burned: 669 (million)
% 7.79/1.37 % (20061)------------------------------
% 7.79/1.37 % (20061)------------------------------
% 7.79/1.38 % (20070)lrs+1010_1:128_au=on:bd=preordered:cnfonf=lazy_pi_sigma_gen:plsq=on:plsqc=1:plsqr=32,1:sos=all:sp=occurrence:i=4714:si=on:rtra=on_0 on theBenchmark for (2989ds/4714Mi)
% 8.18/1.43 % (20068)Instruction limit reached!
% 8.18/1.43 % (20068)------------------------------
% 8.18/1.43 % (20068)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 8.18/1.43 % (20068)Termination reason: Unknown
% 8.18/1.43 % (20068)Termination phase: Saturation
% 8.18/1.43
% 8.18/1.43 % (20068)Memory used [KB]: 6140
% 8.18/1.43 % (20068)Time elapsed: 0.094 s
% 8.18/1.43 % (20068)Instructions burned: 318 (million)
% 8.18/1.43 % (20068)------------------------------
% 8.18/1.43 % (20068)------------------------------
% 8.18/1.44 % (20046)Instruction limit reached!
% 8.18/1.44 % (20046)------------------------------
% 8.18/1.44 % (20046)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 8.18/1.44 % (20046)Termination reason: Unknown
% 8.18/1.44 % (20046)Termination phase: Saturation
% 8.18/1.44
% 8.18/1.44 % (20046)Memory used [KB]: 9466
% 8.18/1.44 % (20046)Time elapsed: 0.472 s
% 8.18/1.44 % (20046)Instructions burned: 1542 (million)
% 8.18/1.44 % (20046)------------------------------
% 8.18/1.44 % (20046)------------------------------
% 8.18/1.44 % (20057)Instruction limit reached!
% 8.18/1.44 % (20057)------------------------------
% 8.18/1.44 % (20057)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 8.18/1.44 % (20057)Termination reason: Unknown
% 8.18/1.44 % (20057)Termination phase: Saturation
% 8.18/1.44
% 8.18/1.44 % (20057)Memory used [KB]: 7547
% 8.18/1.44 % (20057)Time elapsed: 0.320 s
% 8.18/1.44 % (20057)Instructions burned: 997 (million)
% 8.18/1.44 % (20057)------------------------------
% 8.18/1.44 % (20057)------------------------------
% 8.18/1.44 % (20071)dis+10_1:1_au=on:e2e=on:fde=none:nwc=10.0:s2a=on:s2at=2.0:i=8250:si=on:rtra=on_0 on theBenchmark for (2989ds/8250Mi)
% 8.18/1.44 % (20072)lrs+1002_1:1_apa=on:cnfonf=off:fd=off:flr=on:hud=1:lcm=reverse:prag=on:sd=1:sos=on:ss=axioms:i=770:si=on:rtra=on_0 on theBenchmark for (2989ds/770Mi)
% 8.18/1.44 % (20073)ott+1010_5:1_av=off:fe=off:ins=1:kws=precedence:sp=reverse_arity:i=794:si=on:rtra=on_0 on theBenchmark for (2989ds/794Mi)
% 8.18/1.45 % (20072)Refutation not found, incomplete strategy
% 8.18/1.45 % (20072)------------------------------
% 8.18/1.45 % (20072)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 8.18/1.45 % (20072)Termination reason: Refutation not found, incomplete strategy
% 8.18/1.45
% 8.18/1.45
% 8.18/1.45 % (20072)Memory used [KB]: 5500
% 8.18/1.45 % (20072)Time elapsed: 0.003 s
% 8.18/1.45 % (20072)Instructions burned: 6 (million)
% 8.18/1.45 % (20072)------------------------------
% 8.18/1.45 % (20072)------------------------------
% 8.18/1.45 % (20073)Refutation not found, incomplete strategy
% 8.18/1.45 % (20073)------------------------------
% 8.18/1.45 % (20073)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 8.18/1.45 % (20073)Termination reason: Refutation not found, incomplete strategy
% 8.18/1.45
% 8.18/1.45
% 8.18/1.45 % (20073)Memory used [KB]: 1151
% 8.18/1.45 % (20073)Time elapsed: 0.007 s
% 8.18/1.45 % (20073)Instructions burned: 24 (million)
% 8.18/1.45 % (20073)------------------------------
% 8.18/1.45 % (20073)------------------------------
% 8.18/1.45 % (20074)dis+1002_1:1_au=on:avsq=on:avsqr=1,16:cond=on:sp=frequency:i=464:si=on:rtra=on_0 on theBenchmark for (2989ds/464Mi)
% 8.18/1.46 % (20075)ott+21_1:3_avsq=on:bd=off:cnfonf=lazy_gen:fe=off:hud=10:ixr=off:plsq=on:plsqc=1:plsqr=32,1:prag=on:tnu=1:i=1376:si=on:rtra=on_0 on theBenchmark for (2989ds/1376Mi)
% 8.70/1.58 % (20074)Instruction limit reached!
% 8.70/1.58 % (20074)------------------------------
% 8.70/1.58 % (20074)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 8.70/1.58 % (20074)Termination reason: Unknown
% 8.70/1.58 % (20074)Termination phase: Saturation
% 8.70/1.58
% 8.70/1.58 % (20074)Memory used [KB]: 6780
% 8.70/1.58 % (20074)Time elapsed: 0.127 s
% 8.70/1.58 % (20074)Instructions burned: 466 (million)
% 8.70/1.58 % (20074)------------------------------
% 8.70/1.58 % (20074)------------------------------
% 8.88/1.59 % (20076)dis+10_1:1_etr=on:plsq=on:plsqc=1:plsqr=32,1:i=906:si=on:rtra=on_0 on theBenchmark for (2987ds/906Mi)
% 8.88/1.61 % (20069)Instruction limit reached!
% 8.88/1.61 % (20069)------------------------------
% 8.88/1.61 % (20069)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 8.88/1.61 % (20069)Termination reason: Unknown
% 8.88/1.61 % (20069)Termination phase: Saturation
% 8.88/1.61
% 8.88/1.61 % (20069)Memory used [KB]: 7164
% 8.88/1.61 % (20069)Time elapsed: 0.265 s
% 8.88/1.61 % (20069)Instructions burned: 935 (million)
% 8.88/1.61 % (20069)------------------------------
% 8.88/1.61 % (20069)------------------------------
% 9.22/1.62 % (20077)lrs+1002_1:16_bd=off:e2e=on:fde=unused:kws=precedence:sac=on:sos=on:ss=axioms:i=434:si=on:rtra=on_0 on theBenchmark for (2987ds/434Mi)
% 9.22/1.62 % (20077)Refutation not found, incomplete strategy
% 9.22/1.62 % (20077)------------------------------
% 9.22/1.62 % (20077)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 9.22/1.62 % (20077)Termination reason: Refutation not found, incomplete strategy
% 9.22/1.62
% 9.22/1.62
% 9.22/1.62 % (20077)Memory used [KB]: 5500
% 9.22/1.62 % (20077)Time elapsed: 0.003 s
% 9.22/1.62 % (20077)Instructions burned: 5 (million)
% 9.22/1.62 % (20077)------------------------------
% 9.22/1.62 % (20077)------------------------------
% 9.24/1.63 % (20078)lrs+10_5:4_cnfonf=conj_eager:fe=axiom:hflw=5:hfsq=on:hfsqc=10:hfsql=off:hud=10:plsq=on:sgt=5:spb=goal_then_units:ss=axioms:i=865:si=on:rtra=on_0 on theBenchmark for (2987ds/865Mi)
% 11.43/1.85 % (20066)Instruction limit reached!
% 11.43/1.85 % (20066)------------------------------
% 11.43/1.85 % (20066)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 11.43/1.85 % (20066)Termination reason: Unknown
% 11.43/1.85 % (20066)Termination phase: Saturation
% 11.43/1.85
% 11.43/1.85 % (20066)Memory used [KB]: 7803
% 11.43/1.85 % (20066)Time elapsed: 0.564 s
% 11.43/1.85 % (20066)Instructions burned: 1829 (million)
% 11.43/1.85 % (20066)------------------------------
% 11.43/1.85 % (20066)------------------------------
% 11.43/1.86 % (20079)dis+1002_1:1_cnfonf=lazy_simp:hud=5:plsq=on:plsqc=1:plsqr=32,1:prag=on:i=593:si=on:rtra=on_0 on theBenchmark for (2985ds/593Mi)
% 11.43/1.87 % (20075)Instruction limit reached!
% 11.43/1.87 % (20075)------------------------------
% 11.43/1.87 % (20075)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 11.43/1.87 % (20075)Termination reason: Unknown
% 11.43/1.87 % (20075)Termination phase: Saturation
% 11.43/1.87
% 11.43/1.87 % (20075)Memory used [KB]: 10362
% 11.43/1.87 % (20075)Time elapsed: 0.411 s
% 11.43/1.87 % (20075)Instructions burned: 1378 (million)
% 11.43/1.87 % (20075)------------------------------
% 11.43/1.87 % (20075)------------------------------
% 11.43/1.87 % (20076)Instruction limit reached!
% 11.43/1.87 % (20076)------------------------------
% 11.43/1.87 % (20076)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 11.43/1.87 % (20076)Termination reason: Unknown
% 11.43/1.87 % (20076)Termination phase: Saturation
% 11.43/1.87
% 11.43/1.87 % (20076)Memory used [KB]: 9083
% 11.43/1.87 % (20076)Time elapsed: 0.288 s
% 11.43/1.87 % (20076)Instructions burned: 908 (million)
% 11.43/1.87 % (20076)------------------------------
% 11.43/1.87 % (20076)------------------------------
% 12.19/1.88 % (20080)dis+10_1:1_sd=2:sgt=20:slsq=on:ss=axioms:st=6.0:i=443:si=on:rtra=on_0 on theBenchmark for (2984ds/443Mi)
% 12.19/1.88 % (20078)Instruction limit reached!
% 12.19/1.88 % (20078)------------------------------
% 12.19/1.88 % (20078)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 12.19/1.88 % (20078)Termination reason: Unknown
% 12.19/1.88 % (20078)Termination phase: Saturation
% 12.19/1.88
% 12.19/1.88 % (20078)Memory used [KB]: 6524
% 12.19/1.88 % (20078)Time elapsed: 0.251 s
% 12.19/1.88 % (20078)Instructions burned: 866 (million)
% 12.19/1.88 % (20078)------------------------------
% 12.19/1.88 % (20078)------------------------------
% 12.19/1.88 % (20081)dis+10_1:1_atotf=0.1:cbe=off:sd=3:ss=axioms:st=2.0:i=594:si=on:rtra=on_0 on theBenchmark for (2984ds/594Mi)
% 12.19/1.89 % (20081)Refutation not found, incomplete strategy
% 12.19/1.89 % (20081)------------------------------
% 12.19/1.89 % (20081)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 12.19/1.89 % (20081)Termination reason: Refutation not found, incomplete strategy
% 12.19/1.89
% 12.19/1.89
% 12.19/1.89 % (20081)Memory used [KB]: 5628
% 12.19/1.89 % (20081)Time elapsed: 0.005 s
% 12.19/1.89 % (20081)Instructions burned: 15 (million)
% 12.19/1.89 % (20081)------------------------------
% 12.19/1.89 % (20081)------------------------------
% 12.19/1.89 % (20082)ott+10_1:1024_anc=none:bd=off:e2e=on:fde=none:fsr=off:hud=10:ixr=off:nm=4:nwc=5.0:spb=goal:i=327:si=on:rtra=on_0 on theBenchmark for (2984ds/327Mi)
% 12.19/1.89 % (20083)lrs+1002_1:1_au=on:bd=off:e2e=on:sd=2:sos=on:ss=axioms:i=5411:si=on:rtra=on_0 on theBenchmark for (2984ds/5411Mi)
% 12.19/1.90 % (20083)Refutation not found, incomplete strategy
% 12.19/1.90 % (20083)------------------------------
% 12.19/1.90 % (20083)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 12.19/1.90 % (20083)Termination reason: Refutation not found, incomplete strategy
% 12.19/1.90
% 12.19/1.90
% 12.19/1.90 % (20083)Memory used [KB]: 5500
% 12.19/1.90 % (20083)Time elapsed: 0.003 s
% 12.19/1.90 % (20083)Instructions burned: 6 (million)
% 12.19/1.90 % (20083)------------------------------
% 12.19/1.90 % (20083)------------------------------
% 12.31/1.90 % (20084)lrs+10_1:20_au=on:c=on:cbe=off:cnfonf=lazy_gen:ins=1:plsq=on:plsqc=1:plsqr=46,31:sac=on:i=1762:si=on:rtra=on_0 on theBenchmark for (2984ds/1762Mi)
% 12.39/1.99 % (20082)Instruction limit reached!
% 12.39/1.99 % (20082)------------------------------
% 12.39/1.99 % (20082)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 12.39/1.99 % (20082)Termination reason: Unknown
% 12.39/1.99 % (20082)Termination phase: Saturation
% 12.39/1.99
% 12.39/1.99 % (20082)Memory used [KB]: 7164
% 12.39/1.99 % (20082)Time elapsed: 0.100 s
% 12.39/1.99 % (20082)Instructions burned: 329 (million)
% 12.39/1.99 % (20082)------------------------------
% 12.39/1.99 % (20082)------------------------------
% 12.39/2.00 % (20085)dis+1003_1:64_cha=on:cnfonf=lazy_gen:hud=9:nwc=8.0:prag=on:i=96:si=on:rtra=on_0 on theBenchmark for (2983ds/96Mi)
% 12.39/2.01 % (20080)Instruction limit reached!
% 12.39/2.01 % (20080)------------------------------
% 12.39/2.01 % (20080)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 12.39/2.01 % (20080)Termination reason: Unknown
% 12.39/2.01 % (20080)Termination phase: Saturation
% 12.39/2.01
% 12.39/2.01 % (20080)Memory used [KB]: 7803
% 12.39/2.01 % (20080)Time elapsed: 0.139 s
% 12.39/2.01 % (20080)Instructions burned: 444 (million)
% 12.39/2.01 % (20080)------------------------------
% 12.39/2.01 % (20080)------------------------------
% 13.04/2.02 % (20086)lrs+21_1:1_hud=5:kws=inv_frequency:nm=16:nwc=2.0:prag=on:sos=on:ss=axioms:i=503:si=on:rtra=on_0 on theBenchmark for (2983ds/503Mi)
% 13.04/2.02 % (20085)Instruction limit reached!
% 13.04/2.02 % (20085)------------------------------
% 13.04/2.02 % (20085)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 13.04/2.02 % (20085)Termination reason: Unknown
% 13.04/2.02 % (20085)Termination phase: Saturation
% 13.04/2.02
% 13.04/2.02 % (20085)Memory used [KB]: 5884
% 13.04/2.02 % (20085)Time elapsed: 0.030 s
% 13.04/2.02 % (20085)Instructions burned: 96 (million)
% 13.04/2.02 % (20085)------------------------------
% 13.04/2.02 % (20085)------------------------------
% 13.04/2.02 % (20086)Refutation not found, incomplete strategy
% 13.04/2.02 % (20086)------------------------------
% 13.04/2.02 % (20086)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 13.04/2.02 % (20086)Termination reason: Refutation not found, incomplete strategy
% 13.04/2.02
% 13.04/2.02
% 13.04/2.02 % (20086)Memory used [KB]: 5500
% 13.04/2.02 % (20086)Time elapsed: 0.003 s
% 13.04/2.02 % (20086)Instructions burned: 6 (million)
% 13.04/2.02 % (20086)------------------------------
% 13.04/2.02 % (20086)------------------------------
% 13.04/2.03 % (20087)lrs+1002_1:1024_au=on:cond=fast:ntd=on:piset=and:plsq=on:plsqc=1:plsqr=183491,1048576:sac=on:tgt=ground:i=90:si=on:rtra=on_0 on theBenchmark for (2983ds/90Mi)
% 13.04/2.03 % (20088)lrs+10_1:64_hud=5:plsq=on:plsqr=2011171,524288:i=593:si=on:rtra=on_0 on theBenchmark for (2983ds/593Mi)
% 13.04/2.04 % (20079)Instruction limit reached!
% 13.04/2.04 % (20079)------------------------------
% 13.04/2.04 % (20079)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 13.04/2.04 % (20079)Termination reason: Unknown
% 13.04/2.04 % (20079)Termination phase: Saturation
% 13.04/2.04
% 13.04/2.04 % (20079)Memory used [KB]: 7291
% 13.04/2.04 % (20079)Time elapsed: 0.185 s
% 13.04/2.04 % (20079)Instructions burned: 596 (million)
% 13.04/2.04 % (20079)------------------------------
% 13.04/2.04 % (20079)------------------------------
% 13.04/2.05 % (20089)dis-1002_1:1_alpa=false:apa=on:au=on:bd=off:cnfonf=off:e2e=on:er=filter:fde=unused:plsq=on:plsqr=9699663,1048576:s2a=on:sos=on:sp=unary_first:i=1512:si=on:rtra=on_0 on theBenchmark for (2983ds/1512Mi)
% 13.04/2.05 % (20089)Refutation not found, incomplete strategy
% 13.04/2.05 % (20089)------------------------------
% 13.04/2.05 % (20089)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 13.04/2.05 % (20089)Termination reason: Refutation not found, incomplete strategy
% 13.04/2.05
% 13.04/2.05
% 13.04/2.05 % (20089)Memory used [KB]: 5500
% 13.04/2.05 % (20089)Time elapsed: 0.004 s
% 13.04/2.05 % (20089)Instructions burned: 8 (million)
% 13.04/2.05 % (20089)------------------------------
% 13.04/2.05 % (20089)------------------------------
% 13.04/2.06 % (20087)Instruction limit reached!
% 13.04/2.06 % (20087)------------------------------
% 13.04/2.06 % (20087)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 13.04/2.06 % (20087)Termination reason: Unknown
% 13.04/2.06 % (20087)Termination phase: Saturation
% 13.04/2.06
% 13.04/2.06 % (20087)Memory used [KB]: 6012
% 13.04/2.06 % (20087)Time elapsed: 0.032 s
% 13.04/2.06 % (20087)Instructions burned: 91 (million)
% 13.04/2.06 % (20087)------------------------------
% 13.04/2.06 % (20087)------------------------------
% 13.04/2.06 % (20090)lrs+1002_1:128_cbe=off:cnfonf=lazy_not_gen_be_off:ins=1:i=569:si=on:rtra=on_0 on theBenchmark for (2983ds/569Mi)
% 13.04/2.07 % (20091)ott+1002_1:1_bd=off:cnfonf=off:e2e=on:fd=off:fe=axiom:hud=5:prag=on:sos=on:i=501:si=on:rtra=on_0 on theBenchmark for (2983ds/501Mi)
% 13.04/2.08 % (20091)Refutation not found, incomplete strategy
% 13.04/2.08 % (20091)------------------------------
% 13.04/2.08 % (20091)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 13.04/2.08 % (20091)Termination reason: Refutation not found, incomplete strategy
% 13.04/2.08
% 13.04/2.08
% 13.04/2.08 % (20091)Memory used [KB]: 5628
% 13.04/2.08 % (20091)Time elapsed: 0.006 s
% 13.04/2.08 % (20091)Instructions burned: 21 (million)
% 13.04/2.08 % (20091)------------------------------
% 13.04/2.08 % (20091)------------------------------
% 13.04/2.08 % (20092)lrs+1010_1:3_cnfonf=conj_eager:fsr=off:prag=on:sd=4:sgt=10:ss=axioms:i=562:si=on:rtra=on_0 on theBenchmark for (2982ds/562Mi)
% 14.06/2.21 % (20088)Instruction limit reached!
% 14.06/2.21 % (20088)------------------------------
% 14.06/2.21 % (20088)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 14.06/2.21 % (20088)Termination reason: Unknown
% 14.06/2.21 % (20088)Termination phase: Saturation
% 14.06/2.21
% 14.06/2.21 % (20088)Memory used [KB]: 8187
% 14.06/2.21 % (20088)Time elapsed: 0.183 s
% 14.06/2.21 % (20088)Instructions burned: 594 (million)
% 14.06/2.21 % (20088)------------------------------
% 14.06/2.21 % (20088)------------------------------
% 14.33/2.22 % (20093)lrs+10_1:1_au=on:cnfonf=off:fde=unused:kws=precedence:tgt=full:i=406:si=on:rtra=on_0 on theBenchmark for (2981ds/406Mi)
% 14.33/2.23 % (20090)Instruction limit reached!
% 14.33/2.23 % (20090)------------------------------
% 14.33/2.23 % (20090)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 14.33/2.23 % (20090)Termination reason: Unknown
% 14.33/2.23 % (20090)Termination phase: Saturation
% 14.33/2.23
% 14.33/2.23 % (20090)Memory used [KB]: 6524
% 14.33/2.23 % (20090)Time elapsed: 0.168 s
% 14.33/2.23 % (20090)Instructions burned: 571 (million)
% 14.33/2.23 % (20090)------------------------------
% 14.33/2.23 % (20090)------------------------------
% 14.33/2.24 % (20094)dis+1004_1:128_au=on:cbe=off:e2e=on:sac=on:i=582:si=on:rtra=on_0 on theBenchmark for (2981ds/582Mi)
% 14.33/2.25 % (20092)Refutation not found, non-redundant clauses discarded% (20092)------------------------------
% 14.33/2.25 % (20092)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 14.33/2.25 % (20092)Termination reason: Refutation not found, non-redundant clauses discarded
% 14.33/2.25
% 14.33/2.25 % (20092)Memory used [KB]: 7036
% 14.33/2.25 % (20092)Time elapsed: 0.164 s
% 14.33/2.25 % (20092)Instructions burned: 542 (million)
% 14.33/2.25 % (20092)------------------------------
% 14.33/2.25 % (20092)------------------------------
% 14.33/2.25 % (20095)lrs+2_1:1_au=on:bd=off:bsr=unit_only:sd=2:sgt=32:sos=all:ss=axioms:i=456:si=on:rtra=on_0 on theBenchmark for (2981ds/456Mi)
% 15.07/2.32 % (20050)Refutation not found, non-redundant clauses discarded% (20050)------------------------------
% 15.07/2.32 % (20050)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 15.07/2.32 % (20050)Termination reason: Refutation not found, non-redundant clauses discarded
% 15.07/2.32
% 15.07/2.32 % (20050)Memory used [KB]: 13816
% 15.07/2.32 % (20050)Time elapsed: 1.332 s
% 15.07/2.32 % (20050)Instructions burned: 4263 (million)
% 15.07/2.32 % (20050)------------------------------
% 15.07/2.32 % (20050)------------------------------
% 15.07/2.33 % (20096)lrs+1010_1:1_au=on:cbe=off:cnfonf=conj_eager:tgt=ground:i=393:si=on:rtra=on_0 on theBenchmark for (2980ds/393Mi)
% 15.07/2.35 % (20093)Instruction limit reached!
% 15.07/2.35 % (20093)------------------------------
% 15.07/2.35 % (20093)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 15.07/2.35 % (20093)Termination reason: Unknown
% 15.07/2.35 % (20093)Termination phase: Saturation
% 15.07/2.35
% 15.07/2.35 % (20093)Memory used [KB]: 7291
% 15.07/2.35 % (20093)Time elapsed: 0.132 s
% 15.07/2.35 % (20093)Instructions burned: 408 (million)
% 15.07/2.35 % (20093)------------------------------
% 15.07/2.35 % (20093)------------------------------
% 15.07/2.36 % (20097)lrs+1010_1:6_au=on:cnfonf=conj_eager:nwc=10.0:pe=on:prag=on:s2a=on:ss=axioms:st=1.5:i=1335:si=on:rtra=on_0 on theBenchmark for (2980ds/1335Mi)
% 15.07/2.37 % (20097)Refutation not found, incomplete strategy
% 15.07/2.37 % (20097)------------------------------
% 15.07/2.37 % (20097)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 15.07/2.37 % (20097)Termination reason: Refutation not found, incomplete strategy
% 15.07/2.37
% 15.07/2.37
% 15.07/2.37 % (20097)Memory used [KB]: 5628
% 15.07/2.37 % (20097)Time elapsed: 0.008 s
% 15.07/2.37 % (20097)Instructions burned: 27 (million)
% 15.07/2.37 % (20097)------------------------------
% 15.07/2.37 % (20097)------------------------------
% 15.07/2.38 % (20098)dis+1010_16:1_acc=model:au=on:avsq=on:cond=fast:plsq=on:plsqc=2:plsqr=9267,262144:i=3373:si=on:rtra=on_0 on theBenchmark for (2980ds/3373Mi)
% 15.07/2.38 % (20095)Refutation not found, non-redundant clauses discarded% (20095)------------------------------
% 15.07/2.38 % (20095)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 15.07/2.38 % (20095)Termination reason: Refutation not found, non-redundant clauses discarded
% 15.07/2.38
% 15.07/2.38 % (20095)Memory used [KB]: 7419
% 15.07/2.38 % (20095)Time elapsed: 0.126 s
% 15.07/2.38 % (20095)Instructions burned: 413 (million)
% 15.07/2.38 % (20095)------------------------------
% 15.07/2.38 % (20095)------------------------------
% 15.07/2.39 % (20099)dis+10_1:1024_aac=none:au=on:cnfonf=lazy_gen:plsq=on:plsqc=1:plsqr=32,1:spb=goal_then_units:i=474:si=on:rtra=on_0 on theBenchmark for (2979ds/474Mi)
% 16.38/2.41 % (20084)Instruction limit reached!
% 16.38/2.41 % (20084)------------------------------
% 16.38/2.41 % (20084)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 16.38/2.41 % (20084)Termination reason: Unknown
% 16.38/2.41 % (20084)Termination phase: Saturation
% 16.38/2.41
% 16.38/2.41 % (20084)Memory used [KB]: 7164
% 16.38/2.41 % (20084)Time elapsed: 0.509 s
% 16.38/2.41 % (20084)Instructions burned: 1763 (million)
% 16.38/2.41 % (20084)------------------------------
% 16.38/2.41 % (20084)------------------------------
% 16.38/2.42 % (20094)Instruction limit reached!
% 16.38/2.42 % (20094)------------------------------
% 16.38/2.42 % (20094)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 16.38/2.42 % (20094)Termination reason: Unknown
% 16.38/2.42 % (20094)Termination phase: Saturation
% 16.38/2.42
% 16.38/2.42 % (20094)Memory used [KB]: 7547
% 16.38/2.42 % (20094)Time elapsed: 0.182 s
% 16.38/2.42 % (20094)Instructions burned: 582 (million)
% 16.38/2.42 % (20094)------------------------------
% 16.38/2.42 % (20094)------------------------------
% 16.38/2.42 % (20100)lrs+1002_1:16_amm=sco:cnfonf=lazy_pi_sigma_gen:fe=off:nm=60:piset=all_but_not_eq:plsq=on:plsqc=1:plsqr=2,1:rawr=on:sp=occurrence:ss=included:st=-1.0:i=157:si=on:rtra=on_0 on theBenchmark for (2979ds/157Mi)
% 16.38/2.43 % (20101)dis+1010_1:1_amm=off:cs=on:kws=precedence:nwc=10.0:piset=all:s2a=on:sac=on:sp=unary_frequency:spb=goal:ss=axioms:st=3.0:i=590:si=on:rtra=on_0 on theBenchmark for (2979ds/590Mi)
% 16.38/2.46 % (20096)Instruction limit reached!
% 16.38/2.46 % (20096)------------------------------
% 16.38/2.46 % (20096)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 16.38/2.46 % (20096)Termination reason: Unknown
% 16.38/2.46 % (20096)Termination phase: Saturation
% 16.38/2.46
% 16.38/2.46 % (20096)Memory used [KB]: 6652
% 16.38/2.46 % (20096)Time elapsed: 0.132 s
% 16.38/2.46 % (20096)Instructions burned: 393 (million)
% 16.38/2.46 % (20096)------------------------------
% 16.38/2.46 % (20096)------------------------------
% 16.38/2.46 % (20070)Instruction limit reached!
% 16.38/2.46 % (20070)------------------------------
% 16.38/2.46 % (20070)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 16.38/2.46 % (20070)Termination reason: Unknown
% 16.38/2.46 % (20070)Termination phase: Saturation
% 16.38/2.46
% 16.38/2.46 % (20070)Memory used [KB]: 8443
% 16.38/2.46 % (20070)Time elapsed: 1.088 s
% 16.38/2.46 % (20070)Instructions burned: 4716 (million)
% 16.38/2.46 % (20070)------------------------------
% 16.38/2.46 % (20070)------------------------------
% 16.38/2.47 % (20100)Instruction limit reached!
% 16.38/2.47 % (20100)------------------------------
% 16.38/2.47 % (20100)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 16.38/2.47 % (20100)Termination reason: Unknown
% 16.38/2.47 % (20100)Termination phase: Saturation
% 16.38/2.47
% 16.38/2.47 % (20100)Memory used [KB]: 5884
% 16.38/2.47 % (20100)Time elapsed: 0.068 s
% 16.38/2.47 % (20100)Instructions burned: 157 (million)
% 16.38/2.47 % (20100)------------------------------
% 16.38/2.47 % (20100)------------------------------
% 16.38/2.47 % (20102)dis+10_1:1024_kws=precedence:prag=on:rawr=on:sos=all:sp=unary_first:i=104:si=on:rtra=on_0 on theBenchmark for (2979ds/104Mi)
% 16.38/2.47 % (20103)lrs+1010_1:10_au=on:bd=off:cnfonf=lazy_pi_sigma_gen:sp=occurrence:i=414:si=on:rtra=on_0 on theBenchmark for (2978ds/414Mi)
% 16.38/2.47 % (20104)dis+10_1:1_av=off:bsd=on:bsr=unit_only:fd=off:hud=8:nm=16:prag=on:i=715:si=on:rtra=on_0 on theBenchmark for (2978ds/715Mi)
% 16.96/2.50 % (20102)Instruction limit reached!
% 16.96/2.50 % (20102)------------------------------
% 16.96/2.50 % (20102)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 16.96/2.50 % (20102)Termination reason: Unknown
% 16.96/2.50 % (20102)Termination phase: Saturation
% 16.96/2.50
% 16.96/2.50 % (20102)Memory used [KB]: 6012
% 16.96/2.50 % (20102)Time elapsed: 0.028 s
% 16.96/2.50 % (20102)Instructions burned: 106 (million)
% 16.96/2.50 % (20102)------------------------------
% 16.96/2.50 % (20102)------------------------------
% 17.03/2.50 % (20105)dis+21_1:5_au=on:ntd=on:nwc=5.0:s2a=on:ss=axioms:st=5.0:i=961:si=on:rtra=on_0 on theBenchmark for (2978ds/961Mi)
% 17.07/2.53 % (20099)Instruction limit reached!
% 17.07/2.53 % (20099)------------------------------
% 17.07/2.53 % (20099)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 17.07/2.53 % (20099)Termination reason: Unknown
% 17.07/2.53 % (20099)Termination phase: Saturation
% 17.07/2.53
% 17.07/2.53 % (20099)Memory used [KB]: 6780
% 17.07/2.53 % (20099)Time elapsed: 0.164 s
% 17.07/2.53 % (20099)Instructions burned: 474 (million)
% 17.07/2.53 % (20099)------------------------------
% 17.07/2.53 % (20099)------------------------------
% 17.07/2.54 % (20106)lrs-1002_1:128_abs=on:bd=preordered:cbe=off:e2e=on:fde=unused:fe=off:tgt=full:i=1213:si=on:rtra=on_0 on theBenchmark for (2978ds/1213Mi)
% 17.07/2.58 % (20048)Instruction limit reached!
% 17.07/2.58 % (20048)------------------------------
% 17.07/2.58 % (20048)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 17.07/2.58 % (20048)Termination reason: Unknown
% 17.07/2.58 % (20048)Termination phase: Saturation
% 17.07/2.58
% 17.07/2.58 % (20048)Memory used [KB]: 20596
% 17.07/2.58 % (20048)Time elapsed: 1.620 s
% 17.07/2.58 % (20048)Instructions burned: 5206 (million)
% 17.07/2.58 % (20048)------------------------------
% 17.07/2.58 % (20048)------------------------------
% 17.07/2.59 % (20107)lrs+1002_1:12_bd=off:hud=1:ntd=on:piset=equals:prag=on:i=1979:si=on:rtra=on_0 on theBenchmark for (2977ds/1979Mi)
% 17.07/2.59 % (20101)Instruction limit reached!
% 17.07/2.59 % (20101)------------------------------
% 17.07/2.59 % (20101)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 17.07/2.59 % (20101)Termination reason: Unknown
% 17.07/2.59 % (20101)Termination phase: Saturation
% 17.07/2.59
% 17.07/2.59 % (20101)Memory used [KB]: 7419
% 17.07/2.59 % (20101)Time elapsed: 0.169 s
% 17.07/2.59 % (20101)Instructions burned: 592 (million)
% 17.07/2.59 % (20101)------------------------------
% 17.07/2.59 % (20101)------------------------------
% 17.07/2.59 % (20103)Instruction limit reached!
% 17.07/2.59 % (20103)------------------------------
% 17.07/2.59 % (20103)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 17.07/2.59 % (20103)Termination reason: Unknown
% 17.07/2.60 % (20103)Termination phase: Saturation
% 17.07/2.60
% 17.07/2.60 % (20103)Memory used [KB]: 6524
% 17.07/2.60 % (20103)Time elapsed: 0.125 s
% 17.07/2.60 % (20103)Instructions burned: 414 (million)
% 17.07/2.60 % (20103)------------------------------
% 17.07/2.60 % (20103)------------------------------
% 17.07/2.60 % (20108)dis+1002_1:1_amm=off:au=on:bsd=on:cbe=off:cnfonf=lazy_gen:sp=unary_frequency:i=481:si=on:rtra=on_0 on theBenchmark for (2977ds/481Mi)
% 17.07/2.60 % (20109)dis+10_8:1_apa=on:cnfonf=off:e2e=on:plsq=on:plsqc=1:plsqr=32,1:ss=axioms:i=783:si=on:rtra=on_0 on theBenchmark for (2977ds/783Mi)
% 17.70/2.68 % (20104)Instruction limit reached!
% 17.70/2.68 % (20104)------------------------------
% 17.70/2.68 % (20104)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 17.70/2.68 % (20104)Termination reason: Unknown
% 17.70/2.68 % (20104)Termination phase: Saturation
% 17.70/2.68
% 17.70/2.68 % (20104)Memory used [KB]: 2686
% 17.70/2.68 % (20104)Time elapsed: 0.211 s
% 17.70/2.68 % (20104)Instructions burned: 716 (million)
% 17.70/2.68 % (20104)------------------------------
% 17.70/2.68 % (20104)------------------------------
% 17.70/2.69 % (20110)lrs+1010_1:1_avsq=on:avsqr=1,16:kws=inv_arity:nwc=5.0:sd=1:ss=axioms:i=432:si=on:rtra=on_0 on theBenchmark for (2976ds/432Mi)
% 18.08/2.69 % (20110)Refutation not found, incomplete strategy
% 18.08/2.69 % (20110)------------------------------
% 18.08/2.69 % (20110)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 18.08/2.69 % (20110)Termination reason: Refutation not found, incomplete strategy
% 18.08/2.69
% 18.08/2.69
% 18.08/2.69 % (20110)Memory used [KB]: 5500
% 18.08/2.69 % (20110)Time elapsed: 0.003 s
% 18.08/2.69 % (20110)Instructions burned: 6 (million)
% 18.08/2.69 % (20110)------------------------------
% 18.08/2.69 % (20110)------------------------------
% 18.08/2.70 % (20111)lrs+1010_1:1_atotf=0.5:au=on:cbe=off:cnfonf=lazy_not_be_gen:fe=off:nwc=5.0:spb=units:i=1670:si=on:rtra=on_0 on theBenchmark for (2976ds/1670Mi)
% 18.08/2.74 % (20108)Instruction limit reached!
% 18.08/2.74 % (20108)------------------------------
% 18.08/2.74 % (20108)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 18.08/2.74 % (20108)Termination reason: Unknown
% 18.08/2.74 % (20108)Termination phase: Saturation
% 18.08/2.74
% 18.08/2.74 % (20108)Memory used [KB]: 6396
% 18.08/2.74 % (20108)Time elapsed: 0.139 s
% 18.08/2.74 % (20108)Instructions burned: 481 (million)
% 18.08/2.74 % (20108)------------------------------
% 18.08/2.74 % (20108)------------------------------
% 18.08/2.75 % (20112)dis+2_1:1_au=on:hfaw=0:hfsq=on:sp=weighted_frequency:i=90:si=on:rtra=on_0 on theBenchmark for (2976ds/90Mi)
% 18.08/2.77 % (20112)Instruction limit reached!
% 18.08/2.77 % (20112)------------------------------
% 18.08/2.77 % (20112)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 18.08/2.77 % (20112)Termination reason: Unknown
% 18.08/2.77 % (20112)Termination phase: Saturation
% 18.08/2.77
% 18.08/2.77 % (20112)Memory used [KB]: 5884
% 18.08/2.77 % (20112)Time elapsed: 0.024 s
% 18.08/2.77 % (20112)Instructions burned: 90 (million)
% 18.08/2.77 % (20112)------------------------------
% 18.08/2.77 % (20112)------------------------------
% 18.08/2.78 % (20113)dis+10_1:1_au=on:cnfonf=lazy_gen:ixr=off:plsq=on:plsqc=1:plsqr=32,1:i=346:si=on:rtra=on_0 on theBenchmark for (2975ds/346Mi)
% 18.47/2.79 % (20105)Instruction limit reached!
% 18.47/2.79 % (20105)------------------------------
% 18.47/2.79 % (20105)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 18.47/2.79 % (20105)Termination reason: Unknown
% 18.47/2.79 % (20105)Termination phase: Saturation
% 18.47/2.79
% 18.47/2.79 % (20105)Memory used [KB]: 8827
% 18.47/2.79 % (20105)Time elapsed: 0.285 s
% 18.47/2.79 % (20105)Instructions burned: 961 (million)
% 18.47/2.79 % (20105)------------------------------
% 18.47/2.79 % (20105)------------------------------
% 18.47/2.80 % (20114)dis+1002_1:1_cnfonf=lazy_not_gen:hud=10:plsq=on:plsqc=1:plsqr=32,1:prag=on:i=401:si=on:rtra=on_0 on theBenchmark for (2975ds/401Mi)
% 18.80/2.83 % (20109)Instruction limit reached!
% 18.80/2.83 % (20109)------------------------------
% 18.80/2.83 % (20109)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 18.80/2.83 % (20109)Termination reason: Unknown
% 18.80/2.83 % (20109)Termination phase: Saturation
% 18.80/2.83
% 18.80/2.83 % (20109)Memory used [KB]: 10234
% 18.80/2.83 % (20109)Time elapsed: 0.229 s
% 18.80/2.83 % (20109)Instructions burned: 784 (million)
% 18.80/2.83 % (20109)------------------------------
% 18.80/2.83 % (20109)------------------------------
% 18.80/2.84 % (20115)lrs+1010_1:1_au=on:s2a=on:sd=1:sgt=50:ss=axioms:i=6454:si=on:rtra=on_0 on theBenchmark for (2975ds/6454Mi)
% 18.80/2.87 % (20113)Instruction limit reached!
% 18.80/2.87 % (20113)------------------------------
% 18.80/2.87 % (20113)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 18.80/2.87 % (20113)Termination reason: Unknown
% 18.80/2.87 % (20113)Termination phase: Saturation
% 18.80/2.87
% 18.80/2.87 % (20113)Memory used [KB]: 6268
% 18.80/2.87 % (20113)Time elapsed: 0.098 s
% 18.80/2.87 % (20113)Instructions burned: 346 (million)
% 18.80/2.87 % (20113)------------------------------
% 18.80/2.87 % (20113)------------------------------
% 18.80/2.88 % (20116)dis+1010_1:1_avsq=on:fe=off:fsr=off:hud=10:kws=arity:prag=on:i=283:si=on:rtra=on_0 on theBenchmark for (2974ds/283Mi)
% 18.80/2.90 % (20106)Refutation not found, non-redundant clauses discarded% (20106)------------------------------
% 18.80/2.90 % (20106)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 18.80/2.90 % (20106)Termination reason: Refutation not found, non-redundant clauses discarded
% 18.80/2.90
% 18.80/2.90 % (20106)Memory used [KB]: 7931
% 18.80/2.90 % (20106)Time elapsed: 0.365 s
% 18.80/2.90 % (20106)Instructions burned: 1202 (million)
% 18.80/2.90 % (20106)------------------------------
% 18.80/2.90 % (20106)------------------------------
% 18.80/2.91 % (20117)ott+10_1:1_aac=none:apa=on:au=on:cnfonf=off:ntd=on:nwc=12.0:sos=on:i=865:si=on:rtra=on_0 on theBenchmark for (2974ds/865Mi)
% 18.80/2.91 % (20114)Instruction limit reached!
% 18.80/2.91 % (20114)------------------------------
% 18.80/2.91 % (20114)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 18.80/2.91 % (20114)Termination reason: Unknown
% 18.80/2.91 % (20114)Termination phase: Saturation
% 18.80/2.91
% 18.80/2.91 % (20114)Memory used [KB]: 6780
% 18.80/2.91 % (20114)Time elapsed: 0.121 s
% 18.80/2.91 % (20114)Instructions burned: 402 (million)
% 18.80/2.91 % (20114)------------------------------
% 18.80/2.91 % (20114)------------------------------
% 20.47/2.92 % (20118)lrs+1002_3:4_au=on:av=off:cnfonf=off:fd=off:fsr=off:ins=2:sd=1:sos=on:ss=axioms:i=4528:si=on:rtra=on_0 on theBenchmark for (2974ds/4528Mi)
% 20.47/2.92 % (20118)Refutation not found, incomplete strategy
% 20.47/2.92 % (20118)------------------------------
% 20.47/2.92 % (20118)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 20.47/2.92 % (20118)Termination reason: Refutation not found, incomplete strategy
% 20.47/2.92
% 20.47/2.92
% 20.47/2.92 % (20118)Memory used [KB]: 1023
% 20.47/2.92 % (20118)Time elapsed: 0.003 s
% 20.47/2.92 % (20118)Instructions burned: 6 (million)
% 20.47/2.92 % (20118)------------------------------
% 20.47/2.92 % (20118)------------------------------
% 20.47/2.93 % (20119)dis+1002_1:1_cbe=off:hud=5:nm=4:plsq=on:plsqr=7,1:prag=on:sp=const_max:tnu=1:i=1001:si=on:rtra=on_0 on theBenchmark for (2974ds/1001Mi)
% 20.47/2.97 % (20116)Instruction limit reached!
% 20.47/2.97 % (20116)------------------------------
% 20.47/2.97 % (20116)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 20.47/2.97 % (20116)Termination reason: Unknown
% 20.47/2.97 % (20116)Termination phase: Saturation
% 20.47/2.97
% 20.47/2.97 % (20116)Memory used [KB]: 7419
% 20.47/2.97 % (20116)Time elapsed: 0.088 s
% 20.47/2.97 % (20116)Instructions burned: 285 (million)
% 20.47/2.97 % (20116)------------------------------
% 20.47/2.97 % (20116)------------------------------
% 20.47/2.98 % (20120)lrs+1002_1:1_au=on:cbe=off:cnfonf=conj_eager:cond=on:hi=on:i=102:si=on:rtra=on_0 on theBenchmark for (2973ds/102Mi)
% 21.07/3.00 % (20120)Instruction limit reached!
% 21.07/3.00 % (20120)------------------------------
% 21.07/3.00 % (20120)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 21.07/3.00 % (20120)Termination reason: Unknown
% 21.07/3.00 % (20120)Termination phase: Saturation
% 21.07/3.00
% 21.07/3.00 % (20120)Memory used [KB]: 5884
% 21.07/3.00 % (20120)Time elapsed: 0.029 s
% 21.07/3.00 % (20120)Instructions burned: 103 (million)
% 21.07/3.00 % (20120)------------------------------
% 21.07/3.00 % (20120)------------------------------
% 21.07/3.01 % (20121)ott+1010_3:1_nm=20:s2a=on:s2at=3.0:sp=const_frequency:i=952:si=on:rtra=on_0 on theBenchmark for (2973ds/952Mi)
% 21.65/3.17 % (20117)Instruction limit reached!
% 21.65/3.17 % (20117)------------------------------
% 21.65/3.17 % (20117)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 21.65/3.17 % (20117)Termination reason: Unknown
% 21.65/3.17 % (20117)Termination phase: Saturation
% 21.65/3.17
% 21.65/3.17 % (20117)Memory used [KB]: 6652
% 21.65/3.17 % (20117)Time elapsed: 0.266 s
% 21.65/3.17 % (20117)Instructions burned: 867 (million)
% 21.65/3.17 % (20117)------------------------------
% 21.65/3.17 % (20117)------------------------------
% 21.65/3.18 % (20122)lrs+1010_1:1024_add=large:c=on:cbe=off:cnfonf=lazy_gen:fde=none:nm=30:piset=and:sac=on:uhcvi=on:i=578:si=on:rtra=on_0 on theBenchmark for (2971ds/578Mi)
% 22.23/3.19 % (20111)Instruction limit reached!
% 22.23/3.19 % (20111)------------------------------
% 22.23/3.19 % (20111)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 22.23/3.19 % (20111)Termination reason: Unknown
% 22.23/3.19 % (20111)Termination phase: Saturation
% 22.23/3.19
% 22.23/3.19 % (20111)Memory used [KB]: 8443
% 22.23/3.19 % (20111)Time elapsed: 0.494 s
% 22.23/3.19 % (20111)Instructions burned: 1673 (million)
% 22.23/3.19 % (20111)------------------------------
% 22.23/3.19 % (20111)------------------------------
% 22.27/3.20 % (20123)dis+1010_1:4_avsq=on:avsqr=16,1:bet=on:cbe=off:cnfonf=lazy_not_be_gen:hud=5:plsq=on:plsqc=1:plsqr=32,1:prag=on:i=643:si=on:rtra=on_0 on theBenchmark for (2971ds/643Mi)
% 22.30/3.21 % (20107)Instruction limit reached!
% 22.30/3.21 % (20107)------------------------------
% 22.30/3.21 % (20107)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 22.30/3.21 % (20107)Termination reason: Unknown
% 22.30/3.21 % (20107)Termination phase: Saturation
% 22.30/3.21
% 22.30/3.21 % (20107)Memory used [KB]: 11769
% 22.30/3.21 % (20107)Time elapsed: 0.617 s
% 22.30/3.21 % (20107)Instructions burned: 1979 (million)
% 22.30/3.21 % (20107)------------------------------
% 22.30/3.21 % (20107)------------------------------
% 22.30/3.21 % (20125)lrs+1010_1:1_cnfonf=off:ntd=on:nwc=3.0:s2a=on:sp=const_frequency:i=865:si=on:rtra=on_0 on theBenchmark for (2971ds/865Mi)
% 22.30/3.22 % (20125)Refutation not found, incomplete strategy
% 22.30/3.22 % (20125)------------------------------
% 22.30/3.22 % (20125)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 22.30/3.22 % (20125)Termination reason: Refutation not found, incomplete strategy
% 22.30/3.22
% 22.30/3.22
% 22.30/3.22 % (20125)Memory used [KB]: 5628
% 22.30/3.22 % (20125)Time elapsed: 0.006 s
% 22.30/3.22 % (20125)Instructions burned: 21 (million)
% 22.30/3.22 % (20125)------------------------------
% 22.30/3.22 % (20125)------------------------------
% 22.30/3.22 % (20119)Instruction limit reached!
% 22.30/3.22 % (20119)------------------------------
% 22.30/3.22 % (20119)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 22.30/3.22 % (20119)Termination reason: Unknown
% 22.30/3.22 % (20119)Termination phase: Saturation
% 22.30/3.22
% 22.30/3.22 % (20119)Memory used [KB]: 9210
% 22.30/3.22 % (20119)Time elapsed: 0.291 s
% 22.30/3.22 % (20119)Instructions burned: 1002 (million)
% 22.30/3.22 % (20119)------------------------------
% 22.30/3.22 % (20119)------------------------------
% 22.30/3.23 % (20126)lrs+10_1:1_au=on:erd=off:s2a=on:s2at=3.0:sos=all:i=1174:si=on:rtra=on_0 on theBenchmark for (2971ds/1174Mi)
% 22.30/3.23 % (20127)ott+1010_1:32_apa=on:atotf=0.3:au=on:c=on:cnfonf=off:fe=off:fsr=off:nm=6:piset=or:sac=on:sos=on:i=644:si=on:rtra=on_0 on theBenchmark for (2971ds/644Mi)
% 22.30/3.24 % (20127)Refutation not found, incomplete strategy
% 22.30/3.24 % (20127)------------------------------
% 22.30/3.24 % (20127)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 22.30/3.24 % (20127)Termination reason: Refutation not found, incomplete strategy
% 22.30/3.24
% 22.30/3.24
% 22.30/3.24 % (20127)Memory used [KB]: 5628
% 22.30/3.24 % (20127)Time elapsed: 0.009 s
% 22.30/3.24 % (20127)Instructions burned: 31 (million)
% 22.30/3.24 % (20127)------------------------------
% 22.30/3.24 % (20127)------------------------------
% 22.30/3.25 % (20128)lrs+10_1:1_alpa=true:au=on:cs=on:tgt=ground:i=1201:si=on:rtra=on_0 on theBenchmark for (2971ds/1201Mi)
% 22.30/3.30 % (20121)Instruction limit reached!
% 22.30/3.30 % (20121)------------------------------
% 22.30/3.30 % (20121)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 22.30/3.30 % (20121)Termination reason: Unknown
% 22.30/3.30 % (20121)Termination phase: Saturation
% 22.30/3.30
% 22.30/3.30 % (20121)Memory used [KB]: 8827
% 22.30/3.30 % (20121)Time elapsed: 0.290 s
% 22.30/3.30 % (20121)Instructions burned: 952 (million)
% 22.30/3.30 % (20121)------------------------------
% 22.30/3.30 % (20121)------------------------------
% 23.22/3.31 % (20129)lrs+1666_1:64_cnfonf=lazy_simp:hud=5:plsq=on:plsql=on:plsqr=152565,524288:tnu=2:i=1046:si=on:rtra=on_0 on theBenchmark for (2970ds/1046Mi)
% 23.22/3.36 % (20123)Instruction limit reached!
% 23.22/3.36 % (20123)------------------------------
% 23.22/3.36 % (20123)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 23.22/3.36 % (20123)Termination reason: Unknown
% 23.22/3.36 % (20123)Termination phase: Saturation
% 23.22/3.36
% 23.22/3.36 % (20123)Memory used [KB]: 6012
% 23.22/3.36 % (20123)Time elapsed: 0.159 s
% 23.22/3.36 % (20123)Instructions burned: 645 (million)
% 23.22/3.36 % (20123)------------------------------
% 23.22/3.36 % (20123)------------------------------
% 23.22/3.37 % (20130)lrs+1010_1:1_c=on:cnfonf=lazy_simp:fsr=off:hud=5:kws=arity:nm=32:plsq=on:plsqc=1:plsqr=642,29:prag=on:i=222:si=on:rtra=on_0 on theBenchmark for (2970ds/222Mi)
% 23.22/3.37 % (20122)Instruction limit reached!
% 23.22/3.37 % (20122)------------------------------
% 23.22/3.37 % (20122)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 23.22/3.37 % (20122)Termination reason: Unknown
% 23.22/3.37 % (20122)Termination phase: Saturation
% 23.22/3.37
% 23.22/3.37 % (20122)Memory used [KB]: 7803
% 23.22/3.37 % (20122)Time elapsed: 0.194 s
% 23.22/3.37 % (20122)Instructions burned: 578 (million)
% 23.22/3.37 % (20122)------------------------------
% 23.22/3.37 % (20122)------------------------------
% 23.22/3.38 % (20131)ott+1010_1:4_cbe=off:chr=on:hfsq=on:hfsqr=1,16:hud=3:sac=on:sp=unary_frequency:ss=axioms:st=5.0:tnu=2:i=68:si=on:rtra=on_0 on theBenchmark for (2969ds/68Mi)
% 23.22/3.39 % (20098)Instruction limit reached!
% 23.22/3.39 % (20098)------------------------------
% 23.22/3.39 % (20098)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 23.22/3.39 % (20098)Termination reason: Unknown
% 23.22/3.39 % (20098)Termination phase: Saturation
% 23.22/3.39
% 23.22/3.39 % (20098)Memory used [KB]: 13432
% 23.22/3.39 % (20098)Time elapsed: 1.018 s
% 23.22/3.39 % (20098)Instructions burned: 3374 (million)
% 23.22/3.39 % (20098)------------------------------
% 23.22/3.39 % (20098)------------------------------
% 23.87/3.40 % (20132)lrs+1010_1:1_chr=on:cnfonf=lazy_not_be_gen:gs=on:hud=5:plsq=on:plsqc=1:plsqr=5,1:prag=on:rawr=on:i=454:si=on:rtra=on_0 on theBenchmark for (2969ds/454Mi)
% 23.87/3.40 % (20131)Instruction limit reached!
% 23.87/3.40 % (20131)------------------------------
% 23.87/3.40 % (20131)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 23.87/3.40 % (20131)Termination reason: Unknown
% 23.87/3.40 % (20131)Termination phase: Saturation
% 23.87/3.40
% 23.87/3.40 % (20131)Memory used [KB]: 5756
% 23.87/3.40 % (20131)Time elapsed: 0.018 s
% 23.87/3.40 % (20131)Instructions burned: 68 (million)
% 23.87/3.40 % (20131)------------------------------
% 23.87/3.40 % (20131)------------------------------
% 23.87/3.41 % (20133)dis+1002_1:1_cnfonf=lazy_simp:hud=5:plsq=on:plsqc=1:plsqr=32,1:prag=on:i=360:si=on:rtra=on_0 on theBenchmark for (2969ds/360Mi)
% 23.87/3.43 % (20130)Instruction limit reached!
% 23.87/3.43 % (20130)------------------------------
% 23.87/3.43 % (20130)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 23.87/3.43 % (20130)Termination reason: Unknown
% 23.87/3.43 % (20130)Termination phase: Saturation
% 23.87/3.43
% 23.87/3.43 % (20130)Memory used [KB]: 5884
% 23.87/3.43 % (20130)Time elapsed: 0.064 s
% 23.87/3.43 % (20130)Instructions burned: 224 (million)
% 23.87/3.43 % (20130)------------------------------
% 23.87/3.43 % (20130)------------------------------
% 23.87/3.44 % (20134)lrs+1002_1:16_amm=sco:cnfonf=lazy_pi_sigma_gen:fe=off:nm=60:piset=all_but_not_eq:plsq=on:plsqc=1:plsqr=2,1:rawr=on:sp=occurrence:ss=included:st=-1.0:i=157:si=on:rtra=on_0 on theBenchmark for (2969ds/157Mi)
% 23.87/3.48 % (20134)Instruction limit reached!
% 23.87/3.48 % (20134)------------------------------
% 23.87/3.48 % (20134)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 23.87/3.48 % (20134)Termination reason: Unknown
% 23.87/3.48 % (20134)Termination phase: Saturation
% 23.87/3.48
% 23.87/3.48 % (20134)Memory used [KB]: 5884
% 23.87/3.48 % (20134)Time elapsed: 0.047 s
% 23.87/3.48 % (20134)Instructions burned: 157 (million)
% 23.87/3.48 % (20134)------------------------------
% 23.87/3.48 % (20134)------------------------------
% 24.21/3.49 % (20135)ott+1004_1:24_anc=none:cbe=off:cnfonf=lazy_not_gen:fe=off:piset=not:prag=on:rp=on:i=5061:si=on:rtra=on_0 on theBenchmark for (2968ds/5061Mi)
% 25.21/3.51 % (20132)Instruction limit reached!
% 25.21/3.51 % (20132)------------------------------
% 25.21/3.51 % (20132)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 25.21/3.51 % (20132)Termination reason: Unknown
% 25.21/3.51 % (20132)Termination phase: Saturation
% 25.21/3.51
% 25.21/3.51 % (20132)Memory used [KB]: 10490
% 25.21/3.51 % (20132)Time elapsed: 0.117 s
% 25.21/3.51 % (20132)Instructions burned: 457 (million)
% 25.21/3.51 % (20132)------------------------------
% 25.21/3.51 % (20132)------------------------------
% 25.27/3.52 % (20133)Instruction limit reached!
% 25.27/3.52 % (20133)------------------------------
% 25.27/3.52 % (20133)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 25.27/3.52 % (20133)Termination reason: Unknown
% 25.27/3.52 % (20133)Termination phase: Saturation
% 25.27/3.52
% 25.27/3.52 % (20133)Memory used [KB]: 6780
% 25.27/3.52 % (20133)Time elapsed: 0.131 s
% 25.27/3.52 % (20133)Instructions burned: 362 (million)
% 25.27/3.52 % (20133)------------------------------
% 25.27/3.52 % (20133)------------------------------
% 25.27/3.52 % (20136)lrs+1002_1:8_av=off:fd=off:hud=5:tnu=1:i=2401:si=on:rtra=on_0 on theBenchmark for (2968ds/2401Mi)
% 25.27/3.53 % (20137)dis+10_1:1_av=off:e2e=on:nm=4:s2a=on:i=5798:si=on:rtra=on_0 on theBenchmark for (2968ds/5798Mi)
% 25.27/3.58 % (20126)Instruction limit reached!
% 25.27/3.58 % (20126)------------------------------
% 25.27/3.58 % (20126)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 25.27/3.58 % (20126)Termination reason: Unknown
% 25.27/3.58 % (20126)Termination phase: Saturation
% 25.27/3.58
% 25.27/3.58 % (20126)Memory used [KB]: 8955
% 25.27/3.58 % (20126)Time elapsed: 0.359 s
% 25.27/3.58 % (20126)Instructions burned: 1175 (million)
% 25.27/3.58 % (20126)------------------------------
% 25.27/3.58 % (20126)------------------------------
% 25.27/3.59 % (20138)dis+10_1:1_au=on:cnfonf=lazy_gen:ixr=off:plsq=on:plsqc=1:plsqr=32,1:i=346:si=on:rtra=on_0 on theBenchmark for (2967ds/346Mi)
% 25.87/3.63 % (20129)Instruction limit reached!
% 25.87/3.63 % (20129)------------------------------
% 25.87/3.63 % (20129)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 25.87/3.63 % (20129)Termination reason: Unknown
% 25.87/3.63 % (20129)Termination phase: Saturation
% 25.87/3.63
% 25.87/3.63 % (20129)Memory used [KB]: 7547
% 25.87/3.63 % (20129)Time elapsed: 0.323 s
% 25.87/3.63 % (20129)Instructions burned: 1046 (million)
% 25.87/3.63 % (20129)------------------------------
% 25.87/3.63 % (20129)------------------------------
% 25.87/3.64 % (20128)Instruction limit reached!
% 25.87/3.64 % (20128)------------------------------
% 25.87/3.64 % (20128)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 25.87/3.64 % (20139)lrs+1002_1:1_av=off:bd=off:bet=on:e2e=on:fde=unused:fe=off:plsq=on:prag=on:sos=on:i=1321:si=on:rtra=on_0 on theBenchmark for (2967ds/1321Mi)
% 25.87/3.64 % (20128)Termination reason: Unknown
% 25.87/3.64 % (20128)Termination phase: Saturation
% 25.87/3.64
% 25.87/3.64 % (20128)Memory used [KB]: 7675
% 25.87/3.64 % (20128)Time elapsed: 0.392 s
% 25.87/3.64 % (20128)Instructions burned: 1203 (million)
% 25.87/3.64 % (20128)------------------------------
% 25.87/3.64 % (20128)------------------------------
% 25.87/3.64 % (20139)Refutation not found, incomplete strategy
% 25.87/3.64 % (20139)------------------------------
% 25.87/3.64 % (20139)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 25.87/3.64 % (20139)Termination reason: Refutation not found, incomplete strategy
% 25.87/3.64
% 25.87/3.64
% 25.87/3.64 % (20139)Memory used [KB]: 1023
% 25.87/3.64 % (20139)Time elapsed: 0.003 s
% 25.87/3.64 % (20139)Instructions burned: 6 (million)
% 25.87/3.64 % (20139)------------------------------
% 25.87/3.64 % (20139)------------------------------
% 25.87/3.65 % (20140)lrs+10_1:1_cnfonf=lazy_gen:kws=inv_precedence:nwc=10.0:i=1312:si=on:rtra=on_0 on theBenchmark for (2967ds/1312Mi)
% 25.87/3.65 % (20141)ott+2_8:1_add=large:c=on:cnfonf=off:e2e=on:er=filter:hud=5:plsq=on:plsqr=1,1:ss=axioms:i=672:si=on:rtra=on_0 on theBenchmark for (2967ds/672Mi)
% 25.87/3.65 % (20141)Refutation not found, incomplete strategy
% 25.87/3.65 % (20141)------------------------------
% 25.87/3.65 % (20141)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 25.87/3.65 % (20141)Termination reason: Refutation not found, incomplete strategy
% 25.87/3.65
% 25.87/3.65
% 25.87/3.65 % (20141)Memory used [KB]: 5628
% 25.87/3.65 % (20141)Time elapsed: 0.003 s
% 25.87/3.65 % (20141)Instructions burned: 6 (million)
% 25.87/3.65 % (20141)------------------------------
% 25.87/3.65 % (20141)------------------------------
% 25.87/3.66 % (20142)dis+10_1:1_au=on:c=on:e2e=on:fsr=off:sos=all:sp=const_frequency:ss=axioms:i=1897:si=on:rtra=on_0 on theBenchmark for (2967ds/1897Mi)
% 25.87/3.66 % (20142)Refutation not found, incomplete strategy
% 25.87/3.66 % (20142)------------------------------
% 25.87/3.66 % (20142)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 25.87/3.66 % (20142)Termination reason: Refutation not found, incomplete strategy
% 25.87/3.66
% 25.87/3.66
% 25.87/3.66 % (20142)Memory used [KB]: 5500
% 25.87/3.66 % (20142)Time elapsed: 0.003 s
% 25.87/3.66 % (20142)Instructions burned: 6 (million)
% 25.87/3.66 % (20142)------------------------------
% 25.87/3.66 % (20142)------------------------------
% 25.87/3.67 % (20143)lrs+10_1:40_av=off:fde=unused:ntd=on:plsq=on:plsqc=2:plsqr=411915,1048576:sp=unary_frequency:tgt=full:i=1202:si=on:rtra=on_0 on theBenchmark for (2967ds/1202Mi)
% 25.87/3.69 % (20138)Instruction limit reached!
% 25.87/3.69 % (20138)------------------------------
% 25.87/3.69 % (20138)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 25.87/3.69 % (20138)Termination reason: Unknown
% 25.87/3.69 % (20138)Termination phase: Saturation
% 25.87/3.69
% 25.87/3.69 % (20138)Memory used [KB]: 6268
% 25.87/3.69 % (20138)Time elapsed: 0.122 s
% 25.87/3.69 % (20138)Instructions burned: 348 (million)
% 25.87/3.69 % (20138)------------------------------
% 25.87/3.69 % (20138)------------------------------
% 26.30/3.70 % (20144)dis+21_1:1_au=on:cnfonf=lazy_pi_sigma_gen:hfsq=on:hfsqc=40:hfsqr=8,1:ntd=on:sos=on:sp=occurrence:ss=axioms:i=1493:si=on:rtra=on_0 on theBenchmark for (2966ds/1493Mi)
% 26.30/3.70 % (20144)Refutation not found, incomplete strategy
% 26.30/3.70 % (20144)------------------------------
% 26.30/3.70 % (20144)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 26.30/3.70 % (20144)Termination reason: Refutation not found, incomplete strategy
% 26.30/3.70
% 26.30/3.70
% 26.30/3.70 % (20144)Memory used [KB]: 5500
% 26.30/3.70 % (20144)Time elapsed: 0.003 s
% 26.30/3.70 % (20144)Instructions burned: 6 (million)
% 26.30/3.70 % (20144)------------------------------
% 26.30/3.70 % (20144)------------------------------
% 26.30/3.71 % (20145)dis+1010_3:1_av=off:fde=unused:hud=10:nwc=10.0:s2a=on:ss=axioms:i=7679:si=on:rtra=on_0 on theBenchmark for (2966ds/7679Mi)
% 26.97/3.96 % (20071)Instruction limit reached!
% 26.97/3.96 % (20071)------------------------------
% 26.97/3.96 % (20071)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 26.97/3.96 % (20071)Termination reason: Unknown
% 26.97/3.96 % (20071)Termination phase: Saturation
% 26.97/3.96
% 26.97/3.96 % (20071)Memory used [KB]: 11769
% 26.97/3.96 % (20071)Time elapsed: 2.517 s
% 26.97/3.96 % (20071)Instructions burned: 8252 (million)
% 26.97/3.96 % (20071)------------------------------
% 26.97/3.96 % (20071)------------------------------
% 26.97/3.97 % (20146)lrs+2_1:1024_anc=all:cnfonf=off:cs=on:e2e=on:nm=20:s2at=1.5:slsq=on:slsqr=1,2:spb=goal:i=340:si=on:rtra=on_0 on theBenchmark for (2963ds/340Mi)
% 26.97/3.98 % (20146)Refutation not found, incomplete strategy
% 26.97/3.98 % (20146)------------------------------
% 26.97/3.98 % (20146)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 26.97/3.98 % (20146)Termination reason: Refutation not found, incomplete strategy
% 26.97/3.98
% 26.97/3.98
% 26.97/3.98 % (20146)Memory used [KB]: 5628
% 26.97/3.98 % (20146)Time elapsed: 0.007 s
% 26.97/3.98 % (20146)Instructions burned: 23 (million)
% 26.97/3.98 % (20146)------------------------------
% 26.97/3.98 % (20146)------------------------------
% 26.97/3.99 % (20147)dis+1002_1:1_acc=model:au=on:nwc=5.0:sd=5:ss=axioms:st=2.5:i=3672:si=on:rtra=on_0 on theBenchmark for (2963ds/3672Mi)
% 26.97/3.99 % (20147)Refutation not found, incomplete strategy
% 26.97/3.99 % (20147)------------------------------
% 26.97/3.99 % (20147)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 26.97/3.99 % (20147)Termination reason: Refutation not found, incomplete strategy
% 26.97/3.99
% 26.97/3.99
% 26.97/3.99 % (20147)Memory used [KB]: 5756
% 26.97/3.99 % (20147)Time elapsed: 0.006 s
% 26.97/3.99 % (20147)Instructions burned: 15 (million)
% 26.97/3.99 % (20147)------------------------------
% 26.97/3.99 % (20147)------------------------------
% 27.22/4.00 % (20148)dis-1002_3:1_acc=model:bd=off:bsd=on:bsdmm=1:cnfonf=lazy_not_be_gen:fd=off:fe=off:ntd=on:nwc=10.0:piset=equals:plsq=on:plsqc=1:plsqr=32,1:sp=const_max:uhcvi=on:i=1535:si=on:rtra=on_0 on theBenchmark for (2963ds/1535Mi)
% 27.22/4.00 % (20140)Instruction limit reached!
% 27.22/4.00 % (20140)------------------------------
% 27.22/4.00 % (20140)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 27.22/4.00 % (20140)Termination reason: Unknown
% 27.22/4.00 % (20140)Termination phase: Saturation
% 27.22/4.00
% 27.22/4.00 % (20140)Memory used [KB]: 6524
% 27.22/4.00 % (20140)Time elapsed: 0.382 s
% 27.22/4.00 % (20140)Instructions burned: 1313 (million)
% 27.22/4.00 % (20140)------------------------------
% 27.22/4.00 % (20140)------------------------------
% 27.22/4.01 % (20149)dis+10_16:1_hud=1:plsq=on:plsqc=1:plsqr=32,1:prag=on:sd=1:sgt=64:ss=axioms:i=4637:si=on:rtra=on_0 on theBenchmark for (2963ds/4637Mi)
% 27.22/4.06 % (20135)First to succeed.
% 27.22/4.06 % (20143)Instruction limit reached!
% 27.22/4.06 % (20143)------------------------------
% 27.22/4.06 % (20143)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 27.22/4.06 % (20143)Termination reason: Unknown
% 27.22/4.06 % (20143)Termination phase: Saturation
% 27.22/4.06
% 27.22/4.06 % (20143)Memory used [KB]: 3198
% 27.22/4.06 % (20143)Time elapsed: 0.413 s
% 27.22/4.06 % (20143)Instructions burned: 1204 (million)
% 27.22/4.06 % (20143)------------------------------
% 27.22/4.06 % (20143)------------------------------
% 27.22/4.07 % (20150)lrs+10_1:1_fde=unused:prag=on:sd=2:sgt=32:ss=axioms:i=3174:si=on:rtra=on_0 on theBenchmark for (2962ds/3174Mi)
% 28.14/4.08 % (20135)Refutation found. Thanks to Tanya!
% 28.14/4.08 % SZS status Theorem for theBenchmark
% 28.14/4.08 % SZS output start Proof for theBenchmark
% 28.14/4.08 thf(func_def_0, type, irel: $i > $i > $o).
% 28.14/4.08 thf(func_def_2, type, mnot: ($i > $o) > $i > $o).
% 28.14/4.08 thf(func_def_3, type, mor: ($i > $o) > ($i > $o) > $i > $o).
% 28.14/4.08 thf(func_def_4, type, mand: ($i > $o) > ($i > $o) > $i > $o).
% 28.14/4.08 thf(func_def_5, type, mimplies: ($i > $o) > ($i > $o) > $i > $o).
% 28.14/4.08 thf(func_def_6, type, mbox_s4: ($i > $o) > $i > $o).
% 28.14/4.08 thf(func_def_7, type, iatom: ($i > $o) > $i > $o).
% 28.14/4.08 thf(func_def_8, type, inot: ($i > $o) > $i > $o).
% 28.14/4.08 thf(func_def_9, type, itrue: $i > $o).
% 28.14/4.08 thf(func_def_10, type, ifalse: $i > $o).
% 28.14/4.08 thf(func_def_11, type, iand: ($i > $o) > ($i > $o) > $i > $o).
% 28.14/4.08 thf(func_def_12, type, ior: ($i > $o) > ($i > $o) > $i > $o).
% 28.14/4.08 thf(func_def_13, type, iimplies: ($i > $o) > ($i > $o) > $i > $o).
% 28.14/4.08 thf(func_def_14, type, iimplied: ($i > $o) > ($i > $o) > $i > $o).
% 28.14/4.08 thf(func_def_15, type, iequiv: ($i > $o) > ($i > $o) > $i > $o).
% 28.14/4.08 thf(func_def_16, type, ixor: ($i > $o) > ($i > $o) > $i > $o).
% 28.14/4.08 thf(func_def_17, type, ivalid: ($i > $o) > $o).
% 28.14/4.08 thf(func_def_18, type, isatisfiable: ($i > $o) > $o).
% 28.14/4.08 thf(func_def_19, type, icountersatisfiable: ($i > $o) > $o).
% 28.14/4.08 thf(func_def_20, type, iinvalid: ($i > $o) > $o).
% 28.14/4.08 thf(func_def_21, type, a0: $i > $o).
% 28.14/4.08 thf(func_def_22, type, a1: $i > $o).
% 28.14/4.08 thf(func_def_23, type, a2: $i > $o).
% 28.14/4.08 thf(func_def_24, type, b0: $i > $o).
% 28.14/4.08 thf(func_def_25, type, b1: $i > $o).
% 28.14/4.08 thf(func_def_26, type, b2: $i > $o).
% 28.14/4.08 thf(func_def_27, type, f: $i > $o).
% 28.14/4.08 thf(func_def_43, type, sK3: $i > $i).
% 28.14/4.08 thf(func_def_44, type, sK4: $i > $i).
% 28.14/4.08 thf(func_def_45, type, sK5: $i > $i).
% 28.14/4.08 thf(func_def_46, type, sK6: $i > $i).
% 28.14/4.08 thf(func_def_47, type, sK7: $i > $i).
% 28.14/4.08 thf(func_def_48, type, sK8: $i > $i).
% 28.14/4.08 thf(func_def_49, type, sK9: $i > $i).
% 28.14/4.08 thf(f14835,plain,(
% 28.14/4.08 $false),
% 28.14/4.08 inference(avatar_sat_refutation,[],[f405,f443,f733,f752,f807,f1286,f1298,f1354,f1505,f1541,f1656,f1714,f1806,f1882,f1996,f2071,f2104,f2368,f2435,f2444,f2445,f2728,f3320,f3350,f4070,f6344,f13754,f13764,f14834])).
% 28.14/4.08 thf(f14834,plain,(
% 28.14/4.08 ~spl0_68 | ~spl0_71 | ~spl0_182 | ~spl0_891),
% 28.14/4.08 inference(avatar_contradiction_clause,[],[f14833])).
% 28.14/4.08 thf(f14833,plain,(
% 28.14/4.08 $false | (~spl0_68 | ~spl0_71 | ~spl0_182 | ~spl0_891)),
% 28.14/4.08 inference(trivial_inequality_removal,[],[f14832])).
% 28.14/4.08 thf(f14832,plain,(
% 28.14/4.08 ($true = $false) | (~spl0_68 | ~spl0_71 | ~spl0_182 | ~spl0_891)),
% 28.14/4.08 inference(forward_demodulation,[],[f14825,f2428])).
% 28.14/4.08 thf(f2428,plain,(
% 28.14/4.08 ((b0 @ (sK5 @ (sK6 @ sK1))) = $false) | ~spl0_71),
% 28.14/4.08 inference(avatar_component_clause,[],[f2426])).
% 28.14/4.08 thf(f2426,plain,(
% 28.14/4.08 spl0_71 <=> ((b0 @ (sK5 @ (sK6 @ sK1))) = $false)),
% 28.14/4.08 introduced(avatar_definition,[new_symbols(naming,[spl0_71])])).
% 28.14/4.08 thf(f14825,plain,(
% 28.14/4.08 ((b0 @ (sK5 @ (sK6 @ sK1))) = $true) | (~spl0_68 | ~spl0_182 | ~spl0_891)),
% 28.14/4.08 inference(trivial_inequality_removal,[],[f14814])).
% 28.14/4.08 thf(f14814,plain,(
% 28.14/4.08 ((b0 @ (sK5 @ (sK6 @ sK1))) = $true) | ($true = $false) | (~spl0_68 | ~spl0_182 | ~spl0_891)),
% 28.14/4.08 inference(superposition,[],[f4061,f14808])).
% 28.14/4.08 thf(f14808,plain,(
% 28.14/4.08 ((irel @ (sK6 @ sK1) @ (sK5 @ (sK6 @ sK1))) = $true) | (~spl0_68 | ~spl0_891)),
% 28.14/4.08 inference(trivial_inequality_removal,[],[f14800])).
% 28.14/4.08 thf(f14800,plain,(
% 28.14/4.08 ($true = $false) | ((irel @ (sK6 @ sK1) @ (sK5 @ (sK6 @ sK1))) = $true) | (~spl0_68 | ~spl0_891)),
% 28.14/4.08 inference(superposition,[],[f13782,f13758])).
% 28.14/4.08 thf(f13758,plain,(
% 28.14/4.08 ((irel @ (sK4 @ (sK6 @ sK1)) @ (sK5 @ (sK6 @ sK1))) = $true) | ~spl0_891),
% 28.14/4.08 inference(avatar_component_clause,[],[f13756])).
% 28.14/4.08 thf(f13756,plain,(
% 28.14/4.08 spl0_891 <=> ((irel @ (sK4 @ (sK6 @ sK1)) @ (sK5 @ (sK6 @ sK1))) = $true)),
% 28.14/4.08 introduced(avatar_definition,[new_symbols(naming,[spl0_891])])).
% 28.14/4.08 thf(f13782,plain,(
% 28.14/4.08 ( ! [X0 : $i] : (((irel @ (sK4 @ (sK6 @ sK1)) @ X0) = $false) | ((irel @ (sK6 @ sK1) @ X0) = $true)) ) | ~spl0_68),
% 28.14/4.08 inference(trivial_inequality_removal,[],[f13770])).
% 28.14/4.08 thf(f13770,plain,(
% 28.14/4.08 ( ! [X0 : $i] : (((irel @ (sK6 @ sK1) @ X0) = $true) | ($true = $false) | ((irel @ (sK4 @ (sK6 @ sK1)) @ X0) = $false)) ) | ~spl0_68),
% 28.14/4.08 inference(superposition,[],[f2415,f1753])).
% 28.14/4.08 thf(f1753,plain,(
% 28.14/4.08 ( ! [X2 : $i,X3 : $i,X1 : $i] : (((irel @ X3 @ X2) = $false) | ((irel @ X3 @ X1) = $true) | ((irel @ X2 @ X1) = $false)) )),
% 28.14/4.08 inference(binary_proxy_clausification,[],[f1752])).
% 28.14/4.08 thf(f1752,plain,(
% 28.14/4.08 ( ! [X2 : $i,X3 : $i,X1 : $i] : ((((irel @ X2 @ X1) & (irel @ X3 @ X2)) = $false) | ((irel @ X3 @ X1) = $true)) )),
% 28.14/4.08 inference(binary_proxy_clausification,[],[f1751])).
% 28.14/4.08 thf(f1751,plain,(
% 28.14/4.08 ( ! [X2 : $i,X3 : $i,X1 : $i] : (($true = (((irel @ X2 @ X1) & (irel @ X3 @ X2)) => (irel @ X3 @ X1)))) )),
% 28.14/4.08 inference(beta_eta_normalization,[],[f1750])).
% 28.14/4.08 thf(f1750,plain,(
% 28.14/4.08 ( ! [X2 : $i,X3 : $i,X1 : $i] : ((((^[Y0 : $i]: (((irel @ X2 @ X1) & (irel @ Y0 @ X2)) => (irel @ Y0 @ X1))) @ X3) = $true)) )),
% 28.14/4.08 inference(pi_clausification,[],[f1749])).
% 28.14/4.08 thf(f1749,plain,(
% 28.14/4.08 ( ! [X2 : $i,X1 : $i] : (((!! @ $i @ (^[Y0 : $i]: (((irel @ X2 @ X1) & (irel @ Y0 @ X2)) => (irel @ Y0 @ X1)))) = $true)) )),
% 28.14/4.08 inference(beta_eta_normalization,[],[f1748])).
% 28.14/4.08 thf(f1748,plain,(
% 28.14/4.08 ( ! [X2 : $i,X1 : $i] : (($true = ((^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (((irel @ Y0 @ X1) & (irel @ Y1 @ Y0)) => (irel @ Y1 @ X1))))) @ X2))) )),
% 28.14/4.08 inference(pi_clausification,[],[f1747])).
% 28.14/4.08 thf(f1747,plain,(
% 28.14/4.08 ( ! [X1 : $i] : (((!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (((irel @ Y0 @ X1) & (irel @ Y1 @ Y0)) => (irel @ Y1 @ X1)))))) = $true)) )),
% 28.14/4.08 inference(beta_eta_normalization,[],[f1746])).
% 28.14/4.08 thf(f1746,plain,(
% 28.14/4.08 ( ! [X1 : $i] : (($true = ((^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (((irel @ Y1 @ Y0) & (irel @ Y2 @ Y1)) => (irel @ Y2 @ Y0))))))) @ X1))) )),
% 28.14/4.08 inference(pi_clausification,[],[f79])).
% 28.14/4.08 thf(f79,plain,(
% 28.14/4.08 ((!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (((irel @ Y1 @ Y0) & (irel @ Y2 @ Y1)) => (irel @ Y2 @ Y0)))))))) = $true)),
% 28.14/4.08 inference(cnf_transformation,[],[f65])).
% 28.14/4.08 thf(f65,plain,(
% 28.14/4.08 ((!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (((irel @ Y1 @ Y0) & (irel @ Y2 @ Y1)) => (irel @ Y2 @ Y0)))))))) = $true)),
% 28.14/4.08 inference(fool_elimination,[],[f64])).
% 28.14/4.08 thf(f64,plain,(
% 28.14/4.08 ! [X0,X1,X2] : (((irel @ X0 @ X1) & (irel @ X1 @ X2)) => (irel @ X0 @ X2))),
% 28.14/4.08 inference(rectify,[],[f2])).
% 28.14/4.08 thf(f2,axiom,(
% 28.14/4.08 ! [X0,X1,X2] : (((irel @ X0 @ X1) & (irel @ X1 @ X2)) => (irel @ X0 @ X2))),
% 28.14/4.08 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',trans_axiom)).
% 28.14/4.08 thf(f2415,plain,(
% 28.14/4.08 ($true = (irel @ (sK6 @ sK1) @ (sK4 @ (sK6 @ sK1)))) | ~spl0_68),
% 28.14/4.08 inference(avatar_component_clause,[],[f2413])).
% 28.14/4.08 thf(f2413,plain,(
% 28.14/4.08 spl0_68 <=> ($true = (irel @ (sK6 @ sK1) @ (sK4 @ (sK6 @ sK1))))),
% 28.14/4.08 introduced(avatar_definition,[new_symbols(naming,[spl0_68])])).
% 28.14/4.08 thf(f4061,plain,(
% 28.14/4.08 ( ! [X0 : $i] : (((irel @ (sK6 @ sK1) @ X0) = $false) | ((b0 @ X0) = $true)) ) | ~spl0_182),
% 28.14/4.08 inference(avatar_component_clause,[],[f4060])).
% 28.14/4.08 thf(f4060,plain,(
% 28.14/4.08 spl0_182 <=> ! [X0] : (((b0 @ X0) = $true) | ((irel @ (sK6 @ sK1) @ X0) = $false))),
% 28.14/4.08 introduced(avatar_definition,[new_symbols(naming,[spl0_182])])).
% 28.14/4.08 thf(f13764,plain,(
% 28.14/4.08 spl0_891 | spl0_67 | ~spl0_6 | ~spl0_62),
% 28.14/4.08 inference(avatar_split_clause,[],[f3236,f2350,f166,f2410,f13756])).
% 28.14/4.08 thf(f2410,plain,(
% 28.14/4.08 spl0_67 <=> ! [X0] : (((a2 @ X0) = $true) | ((irel @ (sK6 @ sK1) @ X0) = $false))),
% 28.14/4.08 introduced(avatar_definition,[new_symbols(naming,[spl0_67])])).
% 28.14/4.08 thf(f166,plain,(
% 28.14/4.08 spl0_6 <=> ! [X2,X1] : (($true = (a2 @ X2)) | ((irel @ sK1 @ X1) = $false) | ((irel @ X1 @ X2) = $false) | ((irel @ (sK4 @ X1) @ (sK5 @ X1)) = $true))),
% 28.14/4.08 introduced(avatar_definition,[new_symbols(naming,[spl0_6])])).
% 28.14/4.08 thf(f2350,plain,(
% 28.14/4.08 spl0_62 <=> ((irel @ sK1 @ (sK6 @ sK1)) = $true)),
% 28.14/4.08 introduced(avatar_definition,[new_symbols(naming,[spl0_62])])).
% 28.14/4.08 thf(f3236,plain,(
% 28.14/4.08 ( ! [X0 : $i] : (((a2 @ X0) = $true) | ((irel @ (sK4 @ (sK6 @ sK1)) @ (sK5 @ (sK6 @ sK1))) = $true) | ((irel @ (sK6 @ sK1) @ X0) = $false)) ) | (~spl0_6 | ~spl0_62)),
% 28.14/4.08 inference(trivial_inequality_removal,[],[f3229])).
% 28.14/4.08 thf(f3229,plain,(
% 28.14/4.08 ( ! [X0 : $i] : (($true = $false) | ((irel @ (sK4 @ (sK6 @ sK1)) @ (sK5 @ (sK6 @ sK1))) = $true) | ((irel @ (sK6 @ sK1) @ X0) = $false) | ((a2 @ X0) = $true)) ) | (~spl0_6 | ~spl0_62)),
% 28.14/4.08 inference(superposition,[],[f2352,f167])).
% 28.14/4.08 thf(f167,plain,(
% 28.14/4.08 ( ! [X2 : $i,X1 : $i] : (((irel @ sK1 @ X1) = $false) | ((irel @ X1 @ X2) = $false) | ($true = (a2 @ X2)) | ((irel @ (sK4 @ X1) @ (sK5 @ X1)) = $true)) ) | ~spl0_6),
% 28.14/4.08 inference(avatar_component_clause,[],[f166])).
% 28.14/4.08 thf(f2352,plain,(
% 28.14/4.08 ((irel @ sK1 @ (sK6 @ sK1)) = $true) | ~spl0_62),
% 28.14/4.08 inference(avatar_component_clause,[],[f2350])).
% 28.14/4.08 thf(f13754,plain,(
% 28.14/4.08 ~spl0_67 | ~spl0_73 | ~spl0_91 | ~spl0_337),
% 28.14/4.08 inference(avatar_contradiction_clause,[],[f13753])).
% 28.14/4.08 thf(f13753,plain,(
% 28.14/4.08 $false | (~spl0_67 | ~spl0_73 | ~spl0_91 | ~spl0_337)),
% 28.14/4.08 inference(trivial_inequality_removal,[],[f13752])).
% 28.14/4.08 thf(f13752,plain,(
% 28.14/4.08 ($true = $false) | (~spl0_67 | ~spl0_73 | ~spl0_91 | ~spl0_337)),
% 28.14/4.08 inference(forward_demodulation,[],[f13737,f2439])).
% 28.14/4.08 thf(f2439,plain,(
% 28.14/4.08 ((a2 @ (sK9 @ (sK6 @ sK1))) = $false) | ~spl0_73),
% 28.14/4.08 inference(avatar_component_clause,[],[f2437])).
% 28.14/4.08 thf(f2437,plain,(
% 28.14/4.08 spl0_73 <=> ((a2 @ (sK9 @ (sK6 @ sK1))) = $false)),
% 28.14/4.08 introduced(avatar_definition,[new_symbols(naming,[spl0_73])])).
% 28.14/4.08 thf(f13737,plain,(
% 28.14/4.08 ((a2 @ (sK9 @ (sK6 @ sK1))) = $true) | (~spl0_67 | ~spl0_91 | ~spl0_337)),
% 28.14/4.08 inference(trivial_inequality_removal,[],[f13734])).
% 28.14/4.08 thf(f13734,plain,(
% 28.14/4.08 ((a2 @ (sK9 @ (sK6 @ sK1))) = $true) | ($true = $false) | (~spl0_67 | ~spl0_91 | ~spl0_337)),
% 28.14/4.08 inference(superposition,[],[f2411,f13723])).
% 28.14/4.08 thf(f13723,plain,(
% 28.14/4.08 ($true = (irel @ (sK6 @ sK1) @ (sK9 @ (sK6 @ sK1)))) | (~spl0_91 | ~spl0_337)),
% 28.14/4.08 inference(trivial_inequality_removal,[],[f13717])).
% 28.14/4.08 thf(f13717,plain,(
% 28.14/4.08 ($true = (irel @ (sK6 @ sK1) @ (sK9 @ (sK6 @ sK1)))) | ($true = $false) | (~spl0_91 | ~spl0_337)),
% 28.14/4.08 inference(superposition,[],[f6312,f4191])).
% 28.14/4.08 thf(f4191,plain,(
% 28.14/4.08 ( ! [X0 : $i] : (((irel @ (sK8 @ (sK6 @ sK1)) @ X0) = $false) | ((irel @ (sK6 @ sK1) @ X0) = $true)) ) | ~spl0_91),
% 28.14/4.08 inference(trivial_inequality_removal,[],[f4180])).
% 28.14/4.08 thf(f4180,plain,(
% 28.14/4.08 ( ! [X0 : $i] : (($true = $false) | ((irel @ (sK6 @ sK1) @ X0) = $true) | ((irel @ (sK8 @ (sK6 @ sK1)) @ X0) = $false)) ) | ~spl0_91),
% 28.14/4.08 inference(superposition,[],[f1753,f2724])).
% 28.14/4.08 thf(f2724,plain,(
% 28.14/4.08 ((irel @ (sK6 @ sK1) @ (sK8 @ (sK6 @ sK1))) = $true) | ~spl0_91),
% 28.14/4.08 inference(avatar_component_clause,[],[f2722])).
% 28.14/4.08 thf(f2722,plain,(
% 28.14/4.08 spl0_91 <=> ((irel @ (sK6 @ sK1) @ (sK8 @ (sK6 @ sK1))) = $true)),
% 28.14/4.08 introduced(avatar_definition,[new_symbols(naming,[spl0_91])])).
% 28.14/4.08 thf(f6312,plain,(
% 28.14/4.08 ($true = (irel @ (sK8 @ (sK6 @ sK1)) @ (sK9 @ (sK6 @ sK1)))) | ~spl0_337),
% 28.14/4.08 inference(avatar_component_clause,[],[f6310])).
% 28.14/4.08 thf(f6310,plain,(
% 28.14/4.08 spl0_337 <=> ($true = (irel @ (sK8 @ (sK6 @ sK1)) @ (sK9 @ (sK6 @ sK1))))),
% 28.14/4.08 introduced(avatar_definition,[new_symbols(naming,[spl0_337])])).
% 28.14/4.08 thf(f2411,plain,(
% 28.14/4.08 ( ! [X0 : $i] : (((irel @ (sK6 @ sK1) @ X0) = $false) | ((a2 @ X0) = $true)) ) | ~spl0_67),
% 28.14/4.08 inference(avatar_component_clause,[],[f2410])).
% 28.14/4.08 thf(f6344,plain,(
% 28.14/4.08 spl0_74 | spl0_337 | ~spl0_12 | ~spl0_62),
% 28.14/4.08 inference(avatar_split_clause,[],[f6234,f2350,f232,f6310,f2441])).
% 28.14/4.08 thf(f2441,plain,(
% 28.14/4.08 spl0_74 <=> ! [X0] : (((irel @ (sK6 @ sK1) @ X0) = $false) | ((a1 @ X0) = $true))),
% 28.14/4.08 introduced(avatar_definition,[new_symbols(naming,[spl0_74])])).
% 28.14/4.08 thf(f232,plain,(
% 28.14/4.08 spl0_12 <=> ! [X2,X1] : (((irel @ sK1 @ X1) = $false) | ((irel @ X1 @ X2) = $false) | ((irel @ (sK8 @ X1) @ (sK9 @ X1)) = $true) | ((a1 @ X2) = $true))),
% 28.14/4.08 introduced(avatar_definition,[new_symbols(naming,[spl0_12])])).
% 28.14/4.08 thf(f6234,plain,(
% 28.14/4.08 ( ! [X0 : $i] : (((irel @ (sK6 @ sK1) @ X0) = $false) | ((a1 @ X0) = $true) | ($true = (irel @ (sK8 @ (sK6 @ sK1)) @ (sK9 @ (sK6 @ sK1))))) ) | (~spl0_12 | ~spl0_62)),
% 28.14/4.08 inference(trivial_inequality_removal,[],[f6190])).
% 28.14/4.08 thf(f6190,plain,(
% 28.14/4.08 ( ! [X0 : $i] : (((a1 @ X0) = $true) | ((irel @ (sK6 @ sK1) @ X0) = $false) | ($true = (irel @ (sK8 @ (sK6 @ sK1)) @ (sK9 @ (sK6 @ sK1)))) | ($true = $false)) ) | (~spl0_12 | ~spl0_62)),
% 28.14/4.08 inference(superposition,[],[f233,f2352])).
% 28.14/4.08 thf(f233,plain,(
% 28.14/4.08 ( ! [X2 : $i,X1 : $i] : (((irel @ sK1 @ X1) = $false) | ((a1 @ X2) = $true) | ((irel @ X1 @ X2) = $false) | ((irel @ (sK8 @ X1) @ (sK9 @ X1)) = $true)) ) | ~spl0_12),
% 28.14/4.08 inference(avatar_component_clause,[],[f232])).
% 28.14/4.08 thf(f4070,plain,(
% 28.14/4.08 spl0_182 | spl0_30 | ~spl0_11),
% 28.14/4.08 inference(avatar_split_clause,[],[f4027,f213,f1875,f4060])).
% 28.14/4.08 thf(f1875,plain,(
% 28.14/4.08 spl0_30 <=> ! [X0] : (((irel @ sK1 @ X0) = $false) | ($true = (a0 @ X0)))),
% 28.14/4.08 introduced(avatar_definition,[new_symbols(naming,[spl0_30])])).
% 28.14/4.08 thf(f213,plain,(
% 28.14/4.08 spl0_11 <=> ! [X2,X1,X3] : (((irel @ sK1 @ X1) = $false) | ((b0 @ X3) = $true) | ((irel @ X1 @ X2) = $false) | ((a0 @ X2) = $true) | ($false = (irel @ (sK6 @ X1) @ X3)))),
% 28.14/4.08 introduced(avatar_definition,[new_symbols(naming,[spl0_11])])).
% 28.14/4.08 thf(f4027,plain,(
% 28.14/4.08 ( ! [X0 : $i,X1 : $i] : (((a0 @ X1) = $true) | ((irel @ (sK6 @ sK1) @ X0) = $false) | ((b0 @ X0) = $true) | ((irel @ sK1 @ X1) = $false)) ) | ~spl0_11),
% 28.14/4.08 inference(trivial_inequality_removal,[],[f4007])).
% 28.14/4.08 thf(f4007,plain,(
% 28.14/4.08 ( ! [X0 : $i,X1 : $i] : (((a0 @ X1) = $true) | ((irel @ (sK6 @ sK1) @ X0) = $false) | ((b0 @ X0) = $true) | ((irel @ sK1 @ X1) = $false) | ($true = $false)) ) | ~spl0_11),
% 28.14/4.08 inference(superposition,[],[f1745,f214])).
% 28.14/4.08 thf(f214,plain,(
% 28.14/4.08 ( ! [X2 : $i,X3 : $i,X1 : $i] : (((irel @ sK1 @ X1) = $false) | ($false = (irel @ (sK6 @ X1) @ X3)) | ((b0 @ X3) = $true) | ((irel @ X1 @ X2) = $false) | ((a0 @ X2) = $true)) ) | ~spl0_11),
% 28.14/4.08 inference(avatar_component_clause,[],[f213])).
% 28.14/4.08 thf(f1745,plain,(
% 28.14/4.08 ( ! [X1 : $i] : (($true = (irel @ X1 @ X1))) )),
% 28.14/4.08 inference(beta_eta_normalization,[],[f1744])).
% 28.14/4.08 thf(f1744,plain,(
% 28.14/4.08 ( ! [X1 : $i] : ((((^[Y0 : $i]: (irel @ Y0 @ Y0)) @ X1) = $true)) )),
% 28.14/4.08 inference(pi_clausification,[],[f82])).
% 28.14/4.08 thf(f82,plain,(
% 28.14/4.08 ((!! @ $i @ (^[Y0 : $i]: (irel @ Y0 @ Y0))) = $true)),
% 28.14/4.08 inference(cnf_transformation,[],[f40])).
% 28.14/4.08 thf(f40,plain,(
% 28.14/4.08 ((!! @ $i @ (^[Y0 : $i]: (irel @ Y0 @ Y0))) = $true)),
% 28.14/4.08 inference(fool_elimination,[],[f39])).
% 28.14/4.08 thf(f39,plain,(
% 28.14/4.08 ! [X0] : (irel @ X0 @ X0)),
% 28.14/4.08 inference(rectify,[],[f1])).
% 28.14/4.08 thf(f1,axiom,(
% 28.14/4.08 ! [X0] : (irel @ X0 @ X0)),
% 28.14/4.08 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',refl_axiom)).
% 28.14/4.08 thf(f3350,plain,(
% 28.14/4.08 ~spl0_31 | ~spl0_74 | ~spl0_116),
% 28.14/4.08 inference(avatar_contradiction_clause,[],[f3349])).
% 28.14/4.08 thf(f3349,plain,(
% 28.14/4.08 $false | (~spl0_31 | ~spl0_74 | ~spl0_116)),
% 28.14/4.08 inference(trivial_inequality_removal,[],[f3348])).
% 28.14/4.08 thf(f3348,plain,(
% 28.14/4.08 ($true = $false) | (~spl0_31 | ~spl0_74 | ~spl0_116)),
% 28.14/4.08 inference(forward_demodulation,[],[f3335,f1880])).
% 28.14/4.08 thf(f1880,plain,(
% 28.14/4.08 ((a1 @ (sK7 @ sK1)) = $false) | ~spl0_31),
% 28.14/4.08 inference(avatar_component_clause,[],[f1878])).
% 28.14/4.08 thf(f1878,plain,(
% 28.14/4.08 spl0_31 <=> ((a1 @ (sK7 @ sK1)) = $false)),
% 28.14/4.08 introduced(avatar_definition,[new_symbols(naming,[spl0_31])])).
% 28.14/4.08 thf(f3335,plain,(
% 28.14/4.08 ($true = (a1 @ (sK7 @ sK1))) | (~spl0_74 | ~spl0_116)),
% 28.14/4.08 inference(trivial_inequality_removal,[],[f3322])).
% 28.14/4.08 thf(f3322,plain,(
% 28.14/4.08 ($true = (a1 @ (sK7 @ sK1))) | ($true = $false) | (~spl0_74 | ~spl0_116)),
% 28.14/4.08 inference(superposition,[],[f3298,f2442])).
% 28.14/4.08 thf(f2442,plain,(
% 28.14/4.08 ( ! [X0 : $i] : (((irel @ (sK6 @ sK1) @ X0) = $false) | ((a1 @ X0) = $true)) ) | ~spl0_74),
% 28.14/4.08 inference(avatar_component_clause,[],[f2441])).
% 28.14/4.08 thf(f3298,plain,(
% 28.14/4.08 ($true = (irel @ (sK6 @ sK1) @ (sK7 @ sK1))) | ~spl0_116),
% 28.14/4.08 inference(avatar_component_clause,[],[f3296])).
% 28.14/4.08 thf(f3296,plain,(
% 28.14/4.08 spl0_116 <=> ($true = (irel @ (sK6 @ sK1) @ (sK7 @ sK1)))),
% 28.14/4.08 introduced(avatar_definition,[new_symbols(naming,[spl0_116])])).
% 28.14/4.08 thf(f3320,plain,(
% 28.14/4.08 spl0_116 | spl0_30 | ~spl0_9),
% 28.14/4.08 inference(avatar_split_clause,[],[f3275,f200,f1875,f3296])).
% 28.14/4.08 thf(f200,plain,(
% 28.14/4.08 spl0_9 <=> ! [X2,X1] : (((a0 @ X2) = $true) | ($true = (irel @ (sK6 @ X1) @ (sK7 @ X1))) | ((irel @ sK1 @ X1) = $false) | ((irel @ X1 @ X2) = $false))),
% 28.14/4.08 introduced(avatar_definition,[new_symbols(naming,[spl0_9])])).
% 28.14/4.08 thf(f3275,plain,(
% 28.14/4.08 ( ! [X0 : $i] : (($true = (irel @ (sK6 @ sK1) @ (sK7 @ sK1))) | ($true = (a0 @ X0)) | ((irel @ sK1 @ X0) = $false)) ) | ~spl0_9),
% 28.14/4.08 inference(trivial_inequality_removal,[],[f3255])).
% 28.14/4.08 thf(f3255,plain,(
% 28.14/4.08 ( ! [X0 : $i] : (((irel @ sK1 @ X0) = $false) | ($true = (irel @ (sK6 @ sK1) @ (sK7 @ sK1))) | ($true = $false) | ($true = (a0 @ X0))) ) | ~spl0_9),
% 28.14/4.08 inference(superposition,[],[f201,f1745])).
% 28.14/4.08 thf(f201,plain,(
% 28.14/4.08 ( ! [X2 : $i,X1 : $i] : (((irel @ sK1 @ X1) = $false) | ((a0 @ X2) = $true) | ((irel @ X1 @ X2) = $false) | ($true = (irel @ (sK6 @ X1) @ (sK7 @ X1)))) ) | ~spl0_9),
% 28.14/4.08 inference(avatar_component_clause,[],[f200])).
% 28.14/4.08 thf(f2728,plain,(
% 28.14/4.08 spl0_74 | spl0_91 | ~spl0_15 | ~spl0_62),
% 28.14/4.08 inference(avatar_split_clause,[],[f2688,f2350,f248,f2722,f2441])).
% 28.14/4.08 thf(f248,plain,(
% 28.14/4.08 spl0_15 <=> ! [X2,X1] : (((irel @ sK1 @ X1) = $false) | ((a1 @ X2) = $true) | ($true = (irel @ X1 @ (sK8 @ X1))) | ((irel @ X1 @ X2) = $false))),
% 28.14/4.08 introduced(avatar_definition,[new_symbols(naming,[spl0_15])])).
% 28.14/4.08 thf(f2688,plain,(
% 28.14/4.08 ( ! [X0 : $i] : (((irel @ (sK6 @ sK1) @ (sK8 @ (sK6 @ sK1))) = $true) | ((irel @ (sK6 @ sK1) @ X0) = $false) | ((a1 @ X0) = $true)) ) | (~spl0_15 | ~spl0_62)),
% 28.14/4.08 inference(trivial_inequality_removal,[],[f2679])).
% 28.14/4.08 thf(f2679,plain,(
% 28.14/4.08 ( ! [X0 : $i] : (((irel @ (sK6 @ sK1) @ (sK8 @ (sK6 @ sK1))) = $true) | ((irel @ (sK6 @ sK1) @ X0) = $false) | ((a1 @ X0) = $true) | ($true = $false)) ) | (~spl0_15 | ~spl0_62)),
% 28.14/4.08 inference(superposition,[],[f2352,f249])).
% 28.14/4.08 thf(f249,plain,(
% 28.14/4.08 ( ! [X2 : $i,X1 : $i] : (((irel @ sK1 @ X1) = $false) | ((irel @ X1 @ X2) = $false) | ((a1 @ X2) = $true) | ($true = (irel @ X1 @ (sK8 @ X1)))) ) | ~spl0_15),
% 28.14/4.08 inference(avatar_component_clause,[],[f248])).
% 28.14/4.08 thf(f2445,plain,(
% 28.14/4.08 spl0_73 | spl0_74 | ~spl0_13 | ~spl0_62),
% 28.14/4.08 inference(avatar_split_clause,[],[f2391,f2350,f236,f2441,f2437])).
% 28.14/4.08 thf(f236,plain,(
% 28.14/4.08 spl0_13 <=> ! [X2,X1] : (((a1 @ X2) = $true) | ((a2 @ (sK9 @ X1)) = $false) | ((irel @ sK1 @ X1) = $false) | ((irel @ X1 @ X2) = $false))),
% 28.14/4.08 introduced(avatar_definition,[new_symbols(naming,[spl0_13])])).
% 28.14/4.08 thf(f2391,plain,(
% 28.14/4.08 ( ! [X0 : $i] : (((irel @ (sK6 @ sK1) @ X0) = $false) | ((a2 @ (sK9 @ (sK6 @ sK1))) = $false) | ((a1 @ X0) = $true)) ) | (~spl0_13 | ~spl0_62)),
% 28.14/4.08 inference(trivial_inequality_removal,[],[f2383])).
% 28.14/4.08 thf(f2383,plain,(
% 28.14/4.08 ( ! [X0 : $i] : (((a1 @ X0) = $true) | ((a2 @ (sK9 @ (sK6 @ sK1))) = $false) | ($true = $false) | ((irel @ (sK6 @ sK1) @ X0) = $false)) ) | (~spl0_13 | ~spl0_62)),
% 28.14/4.08 inference(superposition,[],[f237,f2352])).
% 28.14/4.08 thf(f237,plain,(
% 28.14/4.08 ( ! [X2 : $i,X1 : $i] : (((irel @ sK1 @ X1) = $false) | ((a2 @ (sK9 @ X1)) = $false) | ((irel @ X1 @ X2) = $false) | ((a1 @ X2) = $true)) ) | ~spl0_13),
% 28.14/4.08 inference(avatar_component_clause,[],[f236])).
% 28.14/4.08 thf(f2444,plain,(
% 28.14/4.08 spl0_68 | spl0_67 | ~spl0_4 | ~spl0_62),
% 28.14/4.08 inference(avatar_split_clause,[],[f2392,f2350,f152,f2410,f2413])).
% 28.14/4.08 thf(f152,plain,(
% 28.14/4.08 spl0_4 <=> ! [X2,X1] : (((irel @ sK1 @ X1) = $false) | ($true = (a2 @ X2)) | ((irel @ X1 @ (sK4 @ X1)) = $true) | ((irel @ X1 @ X2) = $false))),
% 28.14/4.08 introduced(avatar_definition,[new_symbols(naming,[spl0_4])])).
% 28.14/4.08 thf(f2392,plain,(
% 28.14/4.08 ( ! [X0 : $i] : (((irel @ (sK6 @ sK1) @ X0) = $false) | ((a2 @ X0) = $true) | ($true = (irel @ (sK6 @ sK1) @ (sK4 @ (sK6 @ sK1))))) ) | (~spl0_4 | ~spl0_62)),
% 28.14/4.08 inference(trivial_inequality_removal,[],[f2379])).
% 28.14/4.08 thf(f2379,plain,(
% 28.14/4.08 ( ! [X0 : $i] : (((irel @ (sK6 @ sK1) @ X0) = $false) | ($true = (irel @ (sK6 @ sK1) @ (sK4 @ (sK6 @ sK1)))) | ($true = $false) | ((a2 @ X0) = $true)) ) | (~spl0_4 | ~spl0_62)),
% 28.14/4.08 inference(superposition,[],[f153,f2352])).
% 28.14/4.08 thf(f153,plain,(
% 28.14/4.08 ( ! [X2 : $i,X1 : $i] : (((irel @ sK1 @ X1) = $false) | ((irel @ X1 @ (sK4 @ X1)) = $true) | ($true = (a2 @ X2)) | ((irel @ X1 @ X2) = $false)) ) | ~spl0_4),
% 28.14/4.08 inference(avatar_component_clause,[],[f152])).
% 28.14/4.08 thf(f2435,plain,(
% 28.14/4.08 spl0_71 | spl0_67 | ~spl0_5 | ~spl0_62),
% 28.14/4.08 inference(avatar_split_clause,[],[f2395,f2350,f162,f2410,f2426])).
% 28.14/4.08 thf(f162,plain,(
% 28.14/4.08 spl0_5 <=> ! [X2,X1] : (((b0 @ (sK5 @ X1)) = $false) | ((irel @ sK1 @ X1) = $false) | ($true = (a2 @ X2)) | ((irel @ X1 @ X2) = $false))),
% 28.14/4.08 introduced(avatar_definition,[new_symbols(naming,[spl0_5])])).
% 28.14/4.08 thf(f2395,plain,(
% 28.14/4.08 ( ! [X0 : $i] : (((irel @ (sK6 @ sK1) @ X0) = $false) | ((b0 @ (sK5 @ (sK6 @ sK1))) = $false) | ((a2 @ X0) = $true)) ) | (~spl0_5 | ~spl0_62)),
% 28.14/4.08 inference(trivial_inequality_removal,[],[f2380])).
% 28.14/4.08 thf(f2380,plain,(
% 28.14/4.08 ( ! [X0 : $i] : (((irel @ (sK6 @ sK1) @ X0) = $false) | ((b0 @ (sK5 @ (sK6 @ sK1))) = $false) | ((a2 @ X0) = $true) | ($true = $false)) ) | (~spl0_5 | ~spl0_62)),
% 28.14/4.08 inference(superposition,[],[f163,f2352])).
% 28.14/4.08 thf(f163,plain,(
% 28.14/4.08 ( ! [X2 : $i,X1 : $i] : (((irel @ sK1 @ X1) = $false) | ((irel @ X1 @ X2) = $false) | ($true = (a2 @ X2)) | ((b0 @ (sK5 @ X1)) = $false)) ) | ~spl0_5),
% 28.14/4.08 inference(avatar_component_clause,[],[f162])).
% 28.14/4.08 thf(f2368,plain,(
% 28.14/4.08 spl0_30 | spl0_62 | ~spl0_8),
% 28.14/4.08 inference(avatar_split_clause,[],[f2331,f189,f2350,f1875])).
% 28.14/4.08 thf(f189,plain,(
% 28.14/4.08 spl0_8 <=> ! [X2,X1] : (((irel @ X1 @ (sK6 @ X1)) = $true) | ((irel @ X1 @ X2) = $false) | ((irel @ sK1 @ X1) = $false) | ((a0 @ X2) = $true))),
% 28.14/4.08 introduced(avatar_definition,[new_symbols(naming,[spl0_8])])).
% 28.14/4.08 thf(f2331,plain,(
% 28.14/4.08 ( ! [X0 : $i] : (($true = (a0 @ X0)) | ((irel @ sK1 @ (sK6 @ sK1)) = $true) | ((irel @ sK1 @ X0) = $false)) ) | ~spl0_8),
% 28.14/4.08 inference(trivial_inequality_removal,[],[f2324])).
% 28.14/4.08 thf(f2324,plain,(
% 28.14/4.08 ( ! [X0 : $i] : (((irel @ sK1 @ (sK6 @ sK1)) = $true) | ($true = $false) | ($true = (a0 @ X0)) | ((irel @ sK1 @ X0) = $false)) ) | ~spl0_8),
% 28.14/4.08 inference(superposition,[],[f1745,f190])).
% 28.14/4.08 thf(f190,plain,(
% 28.14/4.08 ( ! [X2 : $i,X1 : $i] : (((irel @ sK1 @ X1) = $false) | ((irel @ X1 @ (sK6 @ X1)) = $true) | ((a0 @ X2) = $true) | ((irel @ X1 @ X2) = $false)) ) | ~spl0_8),
% 28.14/4.08 inference(avatar_component_clause,[],[f189])).
% 28.14/4.08 thf(f2104,plain,(
% 28.14/4.08 ~spl0_17),
% 28.14/4.08 inference(avatar_contradiction_clause,[],[f2103])).
% 28.14/4.08 thf(f2103,plain,(
% 28.14/4.08 $false | ~spl0_17),
% 28.14/4.08 inference(trivial_inequality_removal,[],[f2102])).
% 28.14/4.08 thf(f2102,plain,(
% 28.14/4.08 ($true = $false) | ~spl0_17),
% 28.14/4.08 inference(forward_demodulation,[],[f2094,f255])).
% 28.14/4.08 thf(f255,plain,(
% 28.14/4.08 ((f @ sK2) = $false)),
% 28.14/4.08 inference(duplicate_literal_removal,[],[f253])).
% 28.14/4.08 thf(f253,plain,(
% 28.14/4.08 ((f @ sK2) = $false) | ((f @ sK2) = $false)),
% 28.14/4.08 inference(binary_proxy_clausification,[],[f252])).
% 28.14/4.08 thf(f252,plain,(
% 28.14/4.08 ((f @ sK2) = $false) | (((irel @ sK1 @ sK2) => (f @ sK2)) = $false)),
% 28.14/4.08 inference(beta_eta_normalization,[],[f251])).
% 28.14/4.08 thf(f251,plain,(
% 28.14/4.08 (((^[Y0 : $i]: ((irel @ sK1 @ Y0) => (f @ Y0))) @ sK2) = $false) | ((f @ sK2) = $false)),
% 28.14/4.08 inference(sigma_clausification,[],[f111])).
% 28.14/4.08 thf(f111,plain,(
% 28.14/4.08 ((!! @ $i @ (^[Y0 : $i]: ((irel @ sK1 @ Y0) => (f @ Y0)))) = $false) | ((f @ sK2) = $false)),
% 28.14/4.08 inference(binary_proxy_clausification,[],[f109])).
% 28.14/4.08 thf(f109,plain,(
% 28.14/4.08 (((~ (!! @ $i @ (^[Y0 : $i]: ((irel @ sK1 @ Y0) => (((~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a0 @ Y1))))) | (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (f @ Y1))))) & (((~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => ((~ (!! @ $i @ (^[Y2 : $i]: ((irel @ Y1 @ Y2) => (b2 @ Y2))))) | (!! @ $i @ (^[Y2 : $i]: ((irel @ Y1 @ Y2) => (b0 @ Y2))))))))) | (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a2 @ Y1))))) & (((~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => ((~ (!! @ $i @ (^[Y2 : $i]: ((irel @ Y1 @ Y2) => (b0 @ Y2))))) | (!! @ $i @ (^[Y2 : $i]: ((irel @ Y1 @ Y2) => (a1 @ Y2))))))))) | (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a0 @ Y1))))) & ((~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => ((~ (!! @ $i @ (^[Y2 : $i]: ((irel @ Y1 @ Y2) => (b1 @ Y2))))) | (!! @ $i @ (^[Y2 : $i]: ((irel @ Y1 @ Y2) => (a2 @ Y2))))))))) | (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a1 @ Y1)))))))))))) | (!! @ $i @ (^[Y0 : $i]: ((irel @ sK1 @ Y0) => (f @ Y0))))) = $false) | ((f @ sK2) = $false)),
% 28.14/4.08 inference(binary_proxy_clausification,[],[f108])).
% 28.14/4.08 thf(f108,plain,(
% 28.14/4.08 (((irel @ sK1 @ sK2) => (f @ sK2)) = $false) | (((~ (!! @ $i @ (^[Y0 : $i]: ((irel @ sK1 @ Y0) => (((~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a0 @ Y1))))) | (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (f @ Y1))))) & (((~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => ((~ (!! @ $i @ (^[Y2 : $i]: ((irel @ Y1 @ Y2) => (b2 @ Y2))))) | (!! @ $i @ (^[Y2 : $i]: ((irel @ Y1 @ Y2) => (b0 @ Y2))))))))) | (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a2 @ Y1))))) & (((~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => ((~ (!! @ $i @ (^[Y2 : $i]: ((irel @ Y1 @ Y2) => (b0 @ Y2))))) | (!! @ $i @ (^[Y2 : $i]: ((irel @ Y1 @ Y2) => (a1 @ Y2))))))))) | (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a0 @ Y1))))) & ((~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => ((~ (!! @ $i @ (^[Y2 : $i]: ((irel @ Y1 @ Y2) => (b1 @ Y2))))) | (!! @ $i @ (^[Y2 : $i]: ((irel @ Y1 @ Y2) => (a2 @ Y2))))))))) | (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a1 @ Y1)))))))))))) | (!! @ $i @ (^[Y0 : $i]: ((irel @ sK1 @ Y0) => (f @ Y0))))) = $false)),
% 28.14/4.08 inference(beta_eta_normalization,[],[f107])).
% 28.14/4.08 thf(f107,plain,(
% 28.14/4.08 (((~ (!! @ $i @ (^[Y0 : $i]: ((irel @ sK1 @ Y0) => (((~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a0 @ Y1))))) | (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (f @ Y1))))) & (((~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => ((~ (!! @ $i @ (^[Y2 : $i]: ((irel @ Y1 @ Y2) => (b2 @ Y2))))) | (!! @ $i @ (^[Y2 : $i]: ((irel @ Y1 @ Y2) => (b0 @ Y2))))))))) | (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a2 @ Y1))))) & (((~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => ((~ (!! @ $i @ (^[Y2 : $i]: ((irel @ Y1 @ Y2) => (b0 @ Y2))))) | (!! @ $i @ (^[Y2 : $i]: ((irel @ Y1 @ Y2) => (a1 @ Y2))))))))) | (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a0 @ Y1))))) & ((~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => ((~ (!! @ $i @ (^[Y2 : $i]: ((irel @ Y1 @ Y2) => (b1 @ Y2))))) | (!! @ $i @ (^[Y2 : $i]: ((irel @ Y1 @ Y2) => (a2 @ Y2))))))))) | (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a1 @ Y1)))))))))))) | (!! @ $i @ (^[Y0 : $i]: ((irel @ sK1 @ Y0) => (f @ Y0))))) = $false) | (((^[Y0 : $i]: ((irel @ sK1 @ Y0) => (f @ Y0))) @ sK2) = $false)),
% 28.14/4.08 inference(sigma_clausification,[],[f105])).
% 28.14/4.08 thf(f105,plain,(
% 28.14/4.08 ((!! @ $i @ (^[Y0 : $i]: ((irel @ sK1 @ Y0) => (f @ Y0)))) = $false) | (((~ (!! @ $i @ (^[Y0 : $i]: ((irel @ sK1 @ Y0) => (((~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a0 @ Y1))))) | (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (f @ Y1))))) & (((~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => ((~ (!! @ $i @ (^[Y2 : $i]: ((irel @ Y1 @ Y2) => (b2 @ Y2))))) | (!! @ $i @ (^[Y2 : $i]: ((irel @ Y1 @ Y2) => (b0 @ Y2))))))))) | (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a2 @ Y1))))) & (((~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => ((~ (!! @ $i @ (^[Y2 : $i]: ((irel @ Y1 @ Y2) => (b0 @ Y2))))) | (!! @ $i @ (^[Y2 : $i]: ((irel @ Y1 @ Y2) => (a1 @ Y2))))))))) | (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a0 @ Y1))))) & ((~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => ((~ (!! @ $i @ (^[Y2 : $i]: ((irel @ Y1 @ Y2) => (b1 @ Y2))))) | (!! @ $i @ (^[Y2 : $i]: ((irel @ Y1 @ Y2) => (a2 @ Y2))))))))) | (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a1 @ Y1)))))))))))) | (!! @ $i @ (^[Y0 : $i]: ((irel @ sK1 @ Y0) => (f @ Y0))))) = $false)),
% 28.14/4.08 inference(binary_proxy_clausification,[],[f104])).
% 28.14/4.08 thf(f104,plain,(
% 28.14/4.08 (((~ (!! @ $i @ (^[Y0 : $i]: ((irel @ sK1 @ Y0) => (((~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => ((~ (!! @ $i @ (^[Y2 : $i]: ((irel @ Y1 @ Y2) => (b1 @ Y2))))) | (!! @ $i @ (^[Y2 : $i]: ((irel @ Y1 @ Y2) => (a2 @ Y2))))))))) | (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a1 @ Y1))))) & (((~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => ((~ (!! @ $i @ (^[Y2 : $i]: ((irel @ Y1 @ Y2) => (b0 @ Y2))))) | (!! @ $i @ (^[Y2 : $i]: ((irel @ Y1 @ Y2) => (a1 @ Y2))))))))) | (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a0 @ Y1))))) & (((~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => ((~ (!! @ $i @ (^[Y2 : $i]: ((irel @ Y1 @ Y2) => (b2 @ Y2))))) | (!! @ $i @ (^[Y2 : $i]: ((irel @ Y1 @ Y2) => (b0 @ Y2))))))))) | (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a2 @ Y1))))) & ((~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a0 @ Y1))))) | (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (f @ Y1)))))))))))) | (!! @ $i @ (^[Y0 : $i]: ((irel @ sK1 @ Y0) => (f @ Y0))))) = $false) | (((~ (!! @ $i @ (^[Y0 : $i]: ((irel @ sK1 @ Y0) => (((~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a0 @ Y1))))) | (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (f @ Y1))))) & (((~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => ((~ (!! @ $i @ (^[Y2 : $i]: ((irel @ Y1 @ Y2) => (b2 @ Y2))))) | (!! @ $i @ (^[Y2 : $i]: ((irel @ Y1 @ Y2) => (b0 @ Y2))))))))) | (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a2 @ Y1))))) & (((~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => ((~ (!! @ $i @ (^[Y2 : $i]: ((irel @ Y1 @ Y2) => (b0 @ Y2))))) | (!! @ $i @ (^[Y2 : $i]: ((irel @ Y1 @ Y2) => (a1 @ Y2))))))))) | (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a0 @ Y1))))) & ((~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => ((~ (!! @ $i @ (^[Y2 : $i]: ((irel @ Y1 @ Y2) => (b1 @ Y2))))) | (!! @ $i @ (^[Y2 : $i]: ((irel @ Y1 @ Y2) => (a2 @ Y2))))))))) | (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a1 @ Y1)))))))))))) | (!! @ $i @ (^[Y0 : $i]: ((irel @ sK1 @ Y0) => (f @ Y0))))) = $false)),
% 28.14/4.08 inference(binary_proxy_clausification,[],[f103])).
% 28.14/4.08 thf(f103,plain,(
% 28.14/4.08 ((((~ (!! @ $i @ (^[Y0 : $i]: ((irel @ sK1 @ Y0) => (((~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a0 @ Y1))))) | (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (f @ Y1))))) & (((~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => ((~ (!! @ $i @ (^[Y2 : $i]: ((irel @ Y1 @ Y2) => (b2 @ Y2))))) | (!! @ $i @ (^[Y2 : $i]: ((irel @ Y1 @ Y2) => (b0 @ Y2))))))))) | (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a2 @ Y1))))) & (((~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => ((~ (!! @ $i @ (^[Y2 : $i]: ((irel @ Y1 @ Y2) => (b0 @ Y2))))) | (!! @ $i @ (^[Y2 : $i]: ((irel @ Y1 @ Y2) => (a1 @ Y2))))))))) | (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a0 @ Y1))))) & ((~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => ((~ (!! @ $i @ (^[Y2 : $i]: ((irel @ Y1 @ Y2) => (b1 @ Y2))))) | (!! @ $i @ (^[Y2 : $i]: ((irel @ Y1 @ Y2) => (a2 @ Y2))))))))) | (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a1 @ Y1)))))))))))) | (!! @ $i @ (^[Y0 : $i]: ((irel @ sK1 @ Y0) => (f @ Y0))))) & ((~ (!! @ $i @ (^[Y0 : $i]: ((irel @ sK1 @ Y0) => (((~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => ((~ (!! @ $i @ (^[Y2 : $i]: ((irel @ Y1 @ Y2) => (b1 @ Y2))))) | (!! @ $i @ (^[Y2 : $i]: ((irel @ Y1 @ Y2) => (a2 @ Y2))))))))) | (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a1 @ Y1))))) & (((~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => ((~ (!! @ $i @ (^[Y2 : $i]: ((irel @ Y1 @ Y2) => (b0 @ Y2))))) | (!! @ $i @ (^[Y2 : $i]: ((irel @ Y1 @ Y2) => (a1 @ Y2))))))))) | (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a0 @ Y1))))) & (((~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => ((~ (!! @ $i @ (^[Y2 : $i]: ((irel @ Y1 @ Y2) => (b2 @ Y2))))) | (!! @ $i @ (^[Y2 : $i]: ((irel @ Y1 @ Y2) => (b0 @ Y2))))))))) | (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a2 @ Y1))))) & ((~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a0 @ Y1))))) | (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (f @ Y1)))))))))))) | (!! @ $i @ (^[Y0 : $i]: ((irel @ sK1 @ Y0) => (f @ Y0)))))) = $false)),
% 28.14/4.08 inference(beta_eta_normalization,[],[f102])).
% 28.14/4.08 thf(f102,plain,(
% 28.14/4.08 (((^[Y0 : $i]: (((~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (((~ (!! @ $i @ (^[Y2 : $i]: ((irel @ Y1 @ Y2) => (a0 @ Y2))))) | (!! @ $i @ (^[Y2 : $i]: ((irel @ Y1 @ Y2) => (f @ Y2))))) & (((~ (!! @ $i @ (^[Y2 : $i]: ((irel @ Y1 @ Y2) => ((~ (!! @ $i @ (^[Y3 : $i]: ((irel @ Y2 @ Y3) => (b2 @ Y3))))) | (!! @ $i @ (^[Y3 : $i]: ((irel @ Y2 @ Y3) => (b0 @ Y3))))))))) | (!! @ $i @ (^[Y2 : $i]: ((irel @ Y1 @ Y2) => (a2 @ Y2))))) & (((~ (!! @ $i @ (^[Y2 : $i]: ((irel @ Y1 @ Y2) => ((~ (!! @ $i @ (^[Y3 : $i]: ((irel @ Y2 @ Y3) => (b0 @ Y3))))) | (!! @ $i @ (^[Y3 : $i]: ((irel @ Y2 @ Y3) => (a1 @ Y3))))))))) | (!! @ $i @ (^[Y2 : $i]: ((irel @ Y1 @ Y2) => (a0 @ Y2))))) & ((~ (!! @ $i @ (^[Y2 : $i]: ((irel @ Y1 @ Y2) => ((~ (!! @ $i @ (^[Y3 : $i]: ((irel @ Y2 @ Y3) => (b1 @ Y3))))) | (!! @ $i @ (^[Y3 : $i]: ((irel @ Y2 @ Y3) => (a2 @ Y3))))))))) | (!! @ $i @ (^[Y2 : $i]: ((irel @ Y1 @ Y2) => (a1 @ Y2)))))))))))) | (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (f @ Y1))))) & ((~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (((~ (!! @ $i @ (^[Y2 : $i]: ((irel @ Y1 @ Y2) => ((~ (!! @ $i @ (^[Y3 : $i]: ((irel @ Y2 @ Y3) => (b1 @ Y3))))) | (!! @ $i @ (^[Y3 : $i]: ((irel @ Y2 @ Y3) => (a2 @ Y3))))))))) | (!! @ $i @ (^[Y2 : $i]: ((irel @ Y1 @ Y2) => (a1 @ Y2))))) & (((~ (!! @ $i @ (^[Y2 : $i]: ((irel @ Y1 @ Y2) => ((~ (!! @ $i @ (^[Y3 : $i]: ((irel @ Y2 @ Y3) => (b0 @ Y3))))) | (!! @ $i @ (^[Y3 : $i]: ((irel @ Y2 @ Y3) => (a1 @ Y3))))))))) | (!! @ $i @ (^[Y2 : $i]: ((irel @ Y1 @ Y2) => (a0 @ Y2))))) & (((~ (!! @ $i @ (^[Y2 : $i]: ((irel @ Y1 @ Y2) => ((~ (!! @ $i @ (^[Y3 : $i]: ((irel @ Y2 @ Y3) => (b2 @ Y3))))) | (!! @ $i @ (^[Y3 : $i]: ((irel @ Y2 @ Y3) => (b0 @ Y3))))))))) | (!! @ $i @ (^[Y2 : $i]: ((irel @ Y1 @ Y2) => (a2 @ Y2))))) & ((~ (!! @ $i @ (^[Y2 : $i]: ((irel @ Y1 @ Y2) => (a0 @ Y2))))) | (!! @ $i @ (^[Y2 : $i]: ((irel @ Y1 @ Y2) => (f @ Y2)))))))))))) | (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (f @ Y1))))))) @ sK1) = $false)),
% 28.14/4.08 inference(sigma_clausification,[],[f101])).
% 28.14/4.08 thf(f101,plain,(
% 28.14/4.08 ((!! @ $i @ (^[Y0 : $i]: (((~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (((~ (!! @ $i @ (^[Y2 : $i]: ((irel @ Y1 @ Y2) => (a0 @ Y2))))) | (!! @ $i @ (^[Y2 : $i]: ((irel @ Y1 @ Y2) => (f @ Y2))))) & (((~ (!! @ $i @ (^[Y2 : $i]: ((irel @ Y1 @ Y2) => ((~ (!! @ $i @ (^[Y3 : $i]: ((irel @ Y2 @ Y3) => (b2 @ Y3))))) | (!! @ $i @ (^[Y3 : $i]: ((irel @ Y2 @ Y3) => (b0 @ Y3))))))))) | (!! @ $i @ (^[Y2 : $i]: ((irel @ Y1 @ Y2) => (a2 @ Y2))))) & (((~ (!! @ $i @ (^[Y2 : $i]: ((irel @ Y1 @ Y2) => ((~ (!! @ $i @ (^[Y3 : $i]: ((irel @ Y2 @ Y3) => (b0 @ Y3))))) | (!! @ $i @ (^[Y3 : $i]: ((irel @ Y2 @ Y3) => (a1 @ Y3))))))))) | (!! @ $i @ (^[Y2 : $i]: ((irel @ Y1 @ Y2) => (a0 @ Y2))))) & ((~ (!! @ $i @ (^[Y2 : $i]: ((irel @ Y1 @ Y2) => ((~ (!! @ $i @ (^[Y3 : $i]: ((irel @ Y2 @ Y3) => (b1 @ Y3))))) | (!! @ $i @ (^[Y3 : $i]: ((irel @ Y2 @ Y3) => (a2 @ Y3))))))))) | (!! @ $i @ (^[Y2 : $i]: ((irel @ Y1 @ Y2) => (a1 @ Y2)))))))))))) | (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (f @ Y1))))) & ((~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (((~ (!! @ $i @ (^[Y2 : $i]: ((irel @ Y1 @ Y2) => ((~ (!! @ $i @ (^[Y3 : $i]: ((irel @ Y2 @ Y3) => (b1 @ Y3))))) | (!! @ $i @ (^[Y3 : $i]: ((irel @ Y2 @ Y3) => (a2 @ Y3))))))))) | (!! @ $i @ (^[Y2 : $i]: ((irel @ Y1 @ Y2) => (a1 @ Y2))))) & (((~ (!! @ $i @ (^[Y2 : $i]: ((irel @ Y1 @ Y2) => ((~ (!! @ $i @ (^[Y3 : $i]: ((irel @ Y2 @ Y3) => (b0 @ Y3))))) | (!! @ $i @ (^[Y3 : $i]: ((irel @ Y2 @ Y3) => (a1 @ Y3))))))))) | (!! @ $i @ (^[Y2 : $i]: ((irel @ Y1 @ Y2) => (a0 @ Y2))))) & (((~ (!! @ $i @ (^[Y2 : $i]: ((irel @ Y1 @ Y2) => ((~ (!! @ $i @ (^[Y3 : $i]: ((irel @ Y2 @ Y3) => (b2 @ Y3))))) | (!! @ $i @ (^[Y3 : $i]: ((irel @ Y2 @ Y3) => (b0 @ Y3))))))))) | (!! @ $i @ (^[Y2 : $i]: ((irel @ Y1 @ Y2) => (a2 @ Y2))))) & ((~ (!! @ $i @ (^[Y2 : $i]: ((irel @ Y1 @ Y2) => (a0 @ Y2))))) | (!! @ $i @ (^[Y2 : $i]: ((irel @ Y1 @ Y2) => (f @ Y2)))))))))))) | (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (f @ Y1)))))))) = $false)),
% 28.14/4.08 inference(not_proxy_clausification,[],[f100])).
% 28.14/4.08 thf(f100,plain,(
% 28.14/4.08 ($true = (~ (!! @ $i @ (^[Y0 : $i]: (((~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (((~ (!! @ $i @ (^[Y2 : $i]: ((irel @ Y1 @ Y2) => (a0 @ Y2))))) | (!! @ $i @ (^[Y2 : $i]: ((irel @ Y1 @ Y2) => (f @ Y2))))) & (((~ (!! @ $i @ (^[Y2 : $i]: ((irel @ Y1 @ Y2) => ((~ (!! @ $i @ (^[Y3 : $i]: ((irel @ Y2 @ Y3) => (b2 @ Y3))))) | (!! @ $i @ (^[Y3 : $i]: ((irel @ Y2 @ Y3) => (b0 @ Y3))))))))) | (!! @ $i @ (^[Y2 : $i]: ((irel @ Y1 @ Y2) => (a2 @ Y2))))) & (((~ (!! @ $i @ (^[Y2 : $i]: ((irel @ Y1 @ Y2) => ((~ (!! @ $i @ (^[Y3 : $i]: ((irel @ Y2 @ Y3) => (b0 @ Y3))))) | (!! @ $i @ (^[Y3 : $i]: ((irel @ Y2 @ Y3) => (a1 @ Y3))))))))) | (!! @ $i @ (^[Y2 : $i]: ((irel @ Y1 @ Y2) => (a0 @ Y2))))) & ((~ (!! @ $i @ (^[Y2 : $i]: ((irel @ Y1 @ Y2) => ((~ (!! @ $i @ (^[Y3 : $i]: ((irel @ Y2 @ Y3) => (b1 @ Y3))))) | (!! @ $i @ (^[Y3 : $i]: ((irel @ Y2 @ Y3) => (a2 @ Y3))))))))) | (!! @ $i @ (^[Y2 : $i]: ((irel @ Y1 @ Y2) => (a1 @ Y2)))))))))))) | (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (f @ Y1))))) & ((~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (((~ (!! @ $i @ (^[Y2 : $i]: ((irel @ Y1 @ Y2) => ((~ (!! @ $i @ (^[Y3 : $i]: ((irel @ Y2 @ Y3) => (b1 @ Y3))))) | (!! @ $i @ (^[Y3 : $i]: ((irel @ Y2 @ Y3) => (a2 @ Y3))))))))) | (!! @ $i @ (^[Y2 : $i]: ((irel @ Y1 @ Y2) => (a1 @ Y2))))) & (((~ (!! @ $i @ (^[Y2 : $i]: ((irel @ Y1 @ Y2) => ((~ (!! @ $i @ (^[Y3 : $i]: ((irel @ Y2 @ Y3) => (b0 @ Y3))))) | (!! @ $i @ (^[Y3 : $i]: ((irel @ Y2 @ Y3) => (a1 @ Y3))))))))) | (!! @ $i @ (^[Y2 : $i]: ((irel @ Y1 @ Y2) => (a0 @ Y2))))) & (((~ (!! @ $i @ (^[Y2 : $i]: ((irel @ Y1 @ Y2) => ((~ (!! @ $i @ (^[Y3 : $i]: ((irel @ Y2 @ Y3) => (b2 @ Y3))))) | (!! @ $i @ (^[Y3 : $i]: ((irel @ Y2 @ Y3) => (b0 @ Y3))))))))) | (!! @ $i @ (^[Y2 : $i]: ((irel @ Y1 @ Y2) => (a2 @ Y2))))) & ((~ (!! @ $i @ (^[Y2 : $i]: ((irel @ Y1 @ Y2) => (a0 @ Y2))))) | (!! @ $i @ (^[Y2 : $i]: ((irel @ Y1 @ Y2) => (f @ Y2)))))))))))) | (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (f @ Y1))))))))))),
% 28.14/4.08 inference(beta_eta_normalization,[],[f99])).
% 28.14/4.08 thf(f99,plain,(
% 28.14/4.08 ((~ ((^[Y0 : $i > $o]: (!! @ $i @ (^[Y1 : $i]: (Y0 @ Y1)))) @ ((^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i > $o]: ((^[Y3 : $i > $o]: ((^[Y4 : $i]: ((Y2 @ Y4) & (Y3 @ Y4))))))) @ Y0 @ Y1)))) @ ((^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i > $o]: ((^[Y3 : $i > $o]: ((^[Y4 : $i > $o]: ((^[Y5 : $i > $o]: ((^[Y6 : $i]: ((Y4 @ Y6) | (Y5 @ Y6))))))) @ ((^[Y4 : $i > $o]: ((^[Y5 : $i]: (~ (Y4 @ Y5))))) @ Y2) @ Y3)))) @ ((^[Y2 : $i > $o]: ((^[Y3 : $i]: (!! @ $i @ (^[Y4 : $i]: ((irel @ Y3 @ Y4) => (Y2 @ Y4))))))) @ Y0) @ ((^[Y2 : $i > $o]: ((^[Y3 : $i]: (!! @ $i @ (^[Y4 : $i]: ((irel @ Y3 @ Y4) => (Y2 @ Y4))))))) @ Y1))))) @ ((^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i > $o]: ((^[Y3 : $i > $o]: ((^[Y4 : $i]: ((Y2 @ Y4) & (Y3 @ Y4))))))) @ Y0 @ Y1)))) @ ((^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i > $o]: ((^[Y3 : $i > $o]: ((^[Y4 : $i > $o]: ((^[Y5 : $i > $o]: ((^[Y6 : $i]: ((Y4 @ Y6) | (Y5 @ Y6))))))) @ ((^[Y4 : $i > $o]: ((^[Y5 : $i]: (~ (Y4 @ Y5))))) @ Y2) @ Y3)))) @ ((^[Y2 : $i > $o]: ((^[Y3 : $i]: (!! @ $i @ (^[Y4 : $i]: ((irel @ Y3 @ Y4) => (Y2 @ Y4))))))) @ Y0) @ ((^[Y2 : $i > $o]: ((^[Y3 : $i]: (!! @ $i @ (^[Y4 : $i]: ((irel @ Y3 @ Y4) => (Y2 @ Y4))))))) @ Y1))))) @ ((^[Y0 : $i > $o]: (Y0)) @ a0) @ ((^[Y0 : $i > $o]: (Y0)) @ f)) @ ((^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i > $o]: ((^[Y3 : $i > $o]: ((^[Y4 : $i]: ((Y2 @ Y4) & (Y3 @ Y4))))))) @ Y0 @ Y1)))) @ ((^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i > $o]: ((^[Y3 : $i > $o]: ((^[Y4 : $i > $o]: ((^[Y5 : $i > $o]: ((^[Y6 : $i]: ((Y4 @ Y6) | (Y5 @ Y6))))))) @ ((^[Y4 : $i > $o]: ((^[Y5 : $i]: (~ (Y4 @ Y5))))) @ Y2) @ Y3)))) @ ((^[Y2 : $i > $o]: ((^[Y3 : $i]: (!! @ $i @ (^[Y4 : $i]: ((irel @ Y3 @ Y4) => (Y2 @ Y4))))))) @ Y0) @ ((^[Y2 : $i > $o]: ((^[Y3 : $i]: (!! @ $i @ (^[Y4 : $i]: ((irel @ Y3 @ Y4) => (Y2 @ Y4))))))) @ Y1))))) @ ((^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i > $o]: ((^[Y3 : $i > $o]: ((^[Y4 : $i > $o]: ((^[Y5 : $i > $o]: ((^[Y6 : $i]: ((Y4 @ Y6) | (Y5 @ Y6))))))) @ ((^[Y4 : $i > $o]: ((^[Y5 : $i]: (~ (Y4 @ Y5))))) @ Y2) @ Y3)))) @ ((^[Y2 : $i > $o]: ((^[Y3 : $i]: (!! @ $i @ (^[Y4 : $i]: ((irel @ Y3 @ Y4) => (Y2 @ Y4))))))) @ Y0) @ ((^[Y2 : $i > $o]: ((^[Y3 : $i]: (!! @ $i @ (^[Y4 : $i]: ((irel @ Y3 @ Y4) => (Y2 @ Y4))))))) @ Y1))))) @ ((^[Y0 : $i > $o]: (Y0)) @ b2) @ ((^[Y0 : $i > $o]: (Y0)) @ b0)) @ ((^[Y0 : $i > $o]: (Y0)) @ a2)) @ ((^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i > $o]: ((^[Y3 : $i > $o]: ((^[Y4 : $i]: ((Y2 @ Y4) & (Y3 @ Y4))))))) @ Y0 @ Y1)))) @ ((^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i > $o]: ((^[Y3 : $i > $o]: ((^[Y4 : $i > $o]: ((^[Y5 : $i > $o]: ((^[Y6 : $i]: ((Y4 @ Y6) | (Y5 @ Y6))))))) @ ((^[Y4 : $i > $o]: ((^[Y5 : $i]: (~ (Y4 @ Y5))))) @ Y2) @ Y3)))) @ ((^[Y2 : $i > $o]: ((^[Y3 : $i]: (!! @ $i @ (^[Y4 : $i]: ((irel @ Y3 @ Y4) => (Y2 @ Y4))))))) @ Y0) @ ((^[Y2 : $i > $o]: ((^[Y3 : $i]: (!! @ $i @ (^[Y4 : $i]: ((irel @ Y3 @ Y4) => (Y2 @ Y4))))))) @ Y1))))) @ ((^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i > $o]: ((^[Y3 : $i > $o]: ((^[Y4 : $i > $o]: ((^[Y5 : $i > $o]: ((^[Y6 : $i]: ((Y4 @ Y6) | (Y5 @ Y6))))))) @ ((^[Y4 : $i > $o]: ((^[Y5 : $i]: (~ (Y4 @ Y5))))) @ Y2) @ Y3)))) @ ((^[Y2 : $i > $o]: ((^[Y3 : $i]: (!! @ $i @ (^[Y4 : $i]: ((irel @ Y3 @ Y4) => (Y2 @ Y4))))))) @ Y0) @ ((^[Y2 : $i > $o]: ((^[Y3 : $i]: (!! @ $i @ (^[Y4 : $i]: ((irel @ Y3 @ Y4) => (Y2 @ Y4))))))) @ Y1))))) @ ((^[Y0 : $i > $o]: (Y0)) @ b0) @ ((^[Y0 : $i > $o]: (Y0)) @ a1)) @ ((^[Y0 : $i > $o]: (Y0)) @ a0)) @ ((^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i > $o]: ((^[Y3 : $i > $o]: ((^[Y4 : $i > $o]: ((^[Y5 : $i > $o]: ((^[Y6 : $i]: ((Y4 @ Y6) | (Y5 @ Y6))))))) @ ((^[Y4 : $i > $o]: ((^[Y5 : $i]: (~ (Y4 @ Y5))))) @ Y2) @ Y3)))) @ ((^[Y2 : $i > $o]: ((^[Y3 : $i]: (!! @ $i @ (^[Y4 : $i]: ((irel @ Y3 @ Y4) => (Y2 @ Y4))))))) @ Y0) @ ((^[Y2 : $i > $o]: ((^[Y3 : $i]: (!! @ $i @ (^[Y4 : $i]: ((irel @ Y3 @ Y4) => (Y2 @ Y4))))))) @ Y1))))) @ ((^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i > $o]: ((^[Y3 : $i > $o]: ((^[Y4 : $i > $o]: ((^[Y5 : $i > $o]: ((^[Y6 : $i]: ((Y4 @ Y6) | (Y5 @ Y6))))))) @ ((^[Y4 : $i > $o]: ((^[Y5 : $i]: (~ (Y4 @ Y5))))) @ Y2) @ Y3)))) @ ((^[Y2 : $i > $o]: ((^[Y3 : $i]: (!! @ $i @ (^[Y4 : $i]: ((irel @ Y3 @ Y4) => (Y2 @ Y4))))))) @ Y0) @ ((^[Y2 : $i > $o]: ((^[Y3 : $i]: (!! @ $i @ (^[Y4 : $i]: ((irel @ Y3 @ Y4) => (Y2 @ Y4))))))) @ Y1))))) @ ((^[Y0 : $i > $o]: (Y0)) @ b1) @ ((^[Y0 : $i > $o]: (Y0)) @ a2)) @ ((^[Y0 : $i > $o]: (Y0)) @ a1))))) @ ((^[Y0 : $i > $o]: (Y0)) @ f)) @ ((^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i > $o]: ((^[Y3 : $i > $o]: ((^[Y4 : $i > $o]: ((^[Y5 : $i > $o]: ((^[Y6 : $i]: ((Y4 @ Y6) | (Y5 @ Y6))))))) @ ((^[Y4 : $i > $o]: ((^[Y5 : $i]: (~ (Y4 @ Y5))))) @ Y2) @ Y3)))) @ ((^[Y2 : $i > $o]: ((^[Y3 : $i]: (!! @ $i @ (^[Y4 : $i]: ((irel @ Y3 @ Y4) => (Y2 @ Y4))))))) @ Y0) @ ((^[Y2 : $i > $o]: ((^[Y3 : $i]: (!! @ $i @ (^[Y4 : $i]: ((irel @ Y3 @ Y4) => (Y2 @ Y4))))))) @ Y1))))) @ ((^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i > $o]: ((^[Y3 : $i > $o]: ((^[Y4 : $i]: ((Y2 @ Y4) & (Y3 @ Y4))))))) @ Y0 @ Y1)))) @ ((^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i > $o]: ((^[Y3 : $i > $o]: ((^[Y4 : $i > $o]: ((^[Y5 : $i > $o]: ((^[Y6 : $i]: ((Y4 @ Y6) | (Y5 @ Y6))))))) @ ((^[Y4 : $i > $o]: ((^[Y5 : $i]: (~ (Y4 @ Y5))))) @ Y2) @ Y3)))) @ ((^[Y2 : $i > $o]: ((^[Y3 : $i]: (!! @ $i @ (^[Y4 : $i]: ((irel @ Y3 @ Y4) => (Y2 @ Y4))))))) @ Y0) @ ((^[Y2 : $i > $o]: ((^[Y3 : $i]: (!! @ $i @ (^[Y4 : $i]: ((irel @ Y3 @ Y4) => (Y2 @ Y4))))))) @ Y1))))) @ ((^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i > $o]: ((^[Y3 : $i > $o]: ((^[Y4 : $i > $o]: ((^[Y5 : $i > $o]: ((^[Y6 : $i]: ((Y4 @ Y6) | (Y5 @ Y6))))))) @ ((^[Y4 : $i > $o]: ((^[Y5 : $i]: (~ (Y4 @ Y5))))) @ Y2) @ Y3)))) @ ((^[Y2 : $i > $o]: ((^[Y3 : $i]: (!! @ $i @ (^[Y4 : $i]: ((irel @ Y3 @ Y4) => (Y2 @ Y4))))))) @ Y0) @ ((^[Y2 : $i > $o]: ((^[Y3 : $i]: (!! @ $i @ (^[Y4 : $i]: ((irel @ Y3 @ Y4) => (Y2 @ Y4))))))) @ Y1))))) @ ((^[Y0 : $i > $o]: (Y0)) @ b1) @ ((^[Y0 : $i > $o]: (Y0)) @ a2)) @ ((^[Y0 : $i > $o]: (Y0)) @ a1)) @ ((^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i > $o]: ((^[Y3 : $i > $o]: ((^[Y4 : $i]: ((Y2 @ Y4) & (Y3 @ Y4))))))) @ Y0 @ Y1)))) @ ((^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i > $o]: ((^[Y3 : $i > $o]: ((^[Y4 : $i > $o]: ((^[Y5 : $i > $o]: ((^[Y6 : $i]: ((Y4 @ Y6) | (Y5 @ Y6))))))) @ ((^[Y4 : $i > $o]: ((^[Y5 : $i]: (~ (Y4 @ Y5))))) @ Y2) @ Y3)))) @ ((^[Y2 : $i > $o]: ((^[Y3 : $i]: (!! @ $i @ (^[Y4 : $i]: ((irel @ Y3 @ Y4) => (Y2 @ Y4))))))) @ Y0) @ ((^[Y2 : $i > $o]: ((^[Y3 : $i]: (!! @ $i @ (^[Y4 : $i]: ((irel @ Y3 @ Y4) => (Y2 @ Y4))))))) @ Y1))))) @ ((^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i > $o]: ((^[Y3 : $i > $o]: ((^[Y4 : $i > $o]: ((^[Y5 : $i > $o]: ((^[Y6 : $i]: ((Y4 @ Y6) | (Y5 @ Y6))))))) @ ((^[Y4 : $i > $o]: ((^[Y5 : $i]: (~ (Y4 @ Y5))))) @ Y2) @ Y3)))) @ ((^[Y2 : $i > $o]: ((^[Y3 : $i]: (!! @ $i @ (^[Y4 : $i]: ((irel @ Y3 @ Y4) => (Y2 @ Y4))))))) @ Y0) @ ((^[Y2 : $i > $o]: ((^[Y3 : $i]: (!! @ $i @ (^[Y4 : $i]: ((irel @ Y3 @ Y4) => (Y2 @ Y4))))))) @ Y1))))) @ ((^[Y0 : $i > $o]: (Y0)) @ b0) @ ((^[Y0 : $i > $o]: (Y0)) @ a1)) @ ((^[Y0 : $i > $o]: (Y0)) @ a0)) @ ((^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i > $o]: ((^[Y3 : $i > $o]: ((^[Y4 : $i]: ((Y2 @ Y4) & (Y3 @ Y4))))))) @ Y0 @ Y1)))) @ ((^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i > $o]: ((^[Y3 : $i > $o]: ((^[Y4 : $i > $o]: ((^[Y5 : $i > $o]: ((^[Y6 : $i]: ((Y4 @ Y6) | (Y5 @ Y6))))))) @ ((^[Y4 : $i > $o]: ((^[Y5 : $i]: (~ (Y4 @ Y5))))) @ Y2) @ Y3)))) @ ((^[Y2 : $i > $o]: ((^[Y3 : $i]: (!! @ $i @ (^[Y4 : $i]: ((irel @ Y3 @ Y4) => (Y2 @ Y4))))))) @ Y0) @ ((^[Y2 : $i > $o]: ((^[Y3 : $i]: (!! @ $i @ (^[Y4 : $i]: ((irel @ Y3 @ Y4) => (Y2 @ Y4))))))) @ Y1))))) @ ((^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i > $o]: ((^[Y3 : $i > $o]: ((^[Y4 : $i > $o]: ((^[Y5 : $i > $o]: ((^[Y6 : $i]: ((Y4 @ Y6) | (Y5 @ Y6))))))) @ ((^[Y4 : $i > $o]: ((^[Y5 : $i]: (~ (Y4 @ Y5))))) @ Y2) @ Y3)))) @ ((^[Y2 : $i > $o]: ((^[Y3 : $i]: (!! @ $i @ (^[Y4 : $i]: ((irel @ Y3 @ Y4) => (Y2 @ Y4))))))) @ Y0) @ ((^[Y2 : $i > $o]: ((^[Y3 : $i]: (!! @ $i @ (^[Y4 : $i]: ((irel @ Y3 @ Y4) => (Y2 @ Y4))))))) @ Y1))))) @ ((^[Y0 : $i > $o]: (Y0)) @ b2) @ ((^[Y0 : $i > $o]: (Y0)) @ b0)) @ ((^[Y0 : $i > $o]: (Y0)) @ a2)) @ ((^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i > $o]: ((^[Y3 : $i > $o]: ((^[Y4 : $i > $o]: ((^[Y5 : $i > $o]: ((^[Y6 : $i]: ((Y4 @ Y6) | (Y5 @ Y6))))))) @ ((^[Y4 : $i > $o]: ((^[Y5 : $i]: (~ (Y4 @ Y5))))) @ Y2) @ Y3)))) @ ((^[Y2 : $i > $o]: ((^[Y3 : $i]: (!! @ $i @ (^[Y4 : $i]: ((irel @ Y3 @ Y4) => (Y2 @ Y4))))))) @ Y0) @ ((^[Y2 : $i > $o]: ((^[Y3 : $i]: (!! @ $i @ (^[Y4 : $i]: ((irel @ Y3 @ Y4) => (Y2 @ Y4))))))) @ Y1))))) @ ((^[Y0 : $i > $o]: (Y0)) @ a0) @ ((^[Y0 : $i > $o]: (Y0)) @ f))))) @ ((^[Y0 : $i > $o]: (Y0)) @ f))))) = $true)),
% 28.14/4.08 inference(definition_unfolding,[],[f73,f76,f93,f95,f93,f95,f81,f81,f93,f95,f95,f81,f81,f81,f93,f95,f95,f81,f81,f81,f95,f95,f81,f81,f81,f81,f95,f93,f95,f95,f81,f81,f81,f93,f95,f95,f81,f81,f81,f93,f95,f95,f81,f81,f81,f95,f81,f81,f81])).
% 28.14/4.08 thf(f81,plain,(
% 28.14/4.08 (iatom = (^[Y0 : $i > $o]: (Y0)))),
% 28.14/4.08 inference(cnf_transformation,[],[f42])).
% 28.14/4.08 thf(f42,plain,(
% 28.14/4.08 (iatom = (^[Y0 : $i > $o]: (Y0)))),
% 28.14/4.08 inference(fool_elimination,[],[f41])).
% 28.14/4.08 thf(f41,plain,(
% 28.14/4.08 ((^[X0 : $i > $o] : (X0)) = iatom)),
% 28.14/4.08 inference(rectify,[],[f8])).
% 28.14/4.08 thf(f8,axiom,(
% 28.14/4.08 ((^[X5 : $i > $o] : (X5)) = iatom)),
% 28.14/4.08 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',iatom)).
% 28.14/4.08 thf(f95,plain,(
% 28.14/4.08 (iimplies = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i > $o]: ((^[Y3 : $i > $o]: ((^[Y4 : $i > $o]: ((^[Y5 : $i > $o]: ((^[Y6 : $i]: ((Y4 @ Y6) | (Y5 @ Y6))))))) @ ((^[Y4 : $i > $o]: ((^[Y5 : $i]: (~ (Y4 @ Y5))))) @ Y2) @ Y3)))) @ ((^[Y2 : $i > $o]: ((^[Y3 : $i]: (!! @ $i @ (^[Y4 : $i]: ((irel @ Y3 @ Y4) => (Y2 @ Y4))))))) @ Y0) @ ((^[Y2 : $i > $o]: ((^[Y3 : $i]: (!! @ $i @ (^[Y4 : $i]: ((irel @ Y3 @ Y4) => (Y2 @ Y4))))))) @ Y1))))))),
% 28.14/4.08 inference(definition_unfolding,[],[f86,f90,f87,f87])).
% 28.14/4.08 thf(f87,plain,(
% 28.14/4.08 (mbox_s4 = (^[Y0 : $i > $o]: ((^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((irel @ Y1 @ Y2) => (Y0 @ Y2))))))))),
% 28.14/4.08 inference(cnf_transformation,[],[f44])).
% 28.14/4.08 thf(f44,plain,(
% 28.14/4.08 (mbox_s4 = (^[Y0 : $i > $o]: ((^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((irel @ Y1 @ Y2) => (Y0 @ Y2))))))))),
% 28.14/4.08 inference(fool_elimination,[],[f43])).
% 28.14/4.08 thf(f43,plain,(
% 28.14/4.08 ((^[X0 : $i > $o, X1 : $i] : (! [X2] : ((irel @ X1 @ X2) => (X0 @ X2)))) = mbox_s4)),
% 28.14/4.08 inference(rectify,[],[f7])).
% 28.14/4.08 thf(f7,axiom,(
% 28.14/4.08 ((^[X5 : $i > $o, X0 : $i] : (! [X1] : ((irel @ X0 @ X1) => (X5 @ X1)))) = mbox_s4)),
% 28.14/4.08 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mbox_s4)).
% 28.14/4.08 thf(f90,plain,(
% 28.14/4.08 (mimplies = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i > $o]: ((^[Y3 : $i > $o]: ((^[Y4 : $i]: ((Y2 @ Y4) | (Y3 @ Y4))))))) @ ((^[Y2 : $i > $o]: ((^[Y3 : $i]: (~ (Y2 @ Y3))))) @ Y0) @ Y1)))))),
% 28.14/4.08 inference(definition_unfolding,[],[f74,f78,f69])).
% 28.14/4.08 thf(f69,plain,(
% 28.14/4.08 (mnot = (^[Y0 : $i > $o]: ((^[Y1 : $i]: (~ (Y0 @ Y1))))))),
% 28.14/4.08 inference(cnf_transformation,[],[f34])).
% 28.14/4.08 thf(f34,plain,(
% 28.14/4.08 (mnot = (^[Y0 : $i > $o]: ((^[Y1 : $i]: (~ (Y0 @ Y1))))))),
% 28.14/4.08 inference(fool_elimination,[],[f33])).
% 28.14/4.08 thf(f33,plain,(
% 28.14/4.08 (mnot = (^[X0 : $i > $o, X1 : $i] : (~(X0 @ X1))))),
% 28.14/4.08 inference(rectify,[],[f3])).
% 28.14/4.08 thf(f3,axiom,(
% 28.14/4.08 (mnot = (^[X0 : $i > $o, X3 : $i] : (~(X0 @ X3))))),
% 28.14/4.08 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mnot)).
% 28.14/4.08 thf(f78,plain,(
% 28.14/4.08 (mor = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: ((Y0 @ Y2) | (Y1 @ Y2))))))))),
% 28.14/4.08 inference(cnf_transformation,[],[f57])).
% 28.14/4.08 thf(f57,plain,(
% 28.14/4.08 (mor = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: ((Y0 @ Y2) | (Y1 @ Y2))))))))),
% 28.14/4.08 inference(fool_elimination,[],[f56])).
% 28.14/4.08 thf(f56,plain,(
% 28.14/4.08 ((^[X0 : $i > $o, X1 : $i > $o, X2 : $i] : ((X1 @ X2) | (X0 @ X2))) = mor)),
% 28.14/4.08 inference(rectify,[],[f4])).
% 28.14/4.08 thf(f4,axiom,(
% 28.14/4.08 ((^[X0 : $i > $o, X1 : $i > $o, X3 : $i] : ((X1 @ X3) | (X0 @ X3))) = mor)),
% 28.14/4.08 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mor)).
% 28.14/4.08 thf(f74,plain,(
% 28.14/4.08 (mimplies = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (mor @ (mnot @ Y0) @ Y1)))))),
% 28.14/4.08 inference(cnf_transformation,[],[f28])).
% 28.14/4.08 thf(f28,plain,(
% 28.14/4.08 (mimplies = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (mor @ (mnot @ Y0) @ Y1)))))),
% 28.14/4.08 inference(fool_elimination,[],[f27])).
% 28.14/4.08 thf(f27,plain,(
% 28.14/4.08 ((^[X0 : $i > $o, X1 : $i > $o] : (mor @ (mnot @ X0) @ X1)) = mimplies)),
% 28.14/4.08 inference(rectify,[],[f6])).
% 28.14/4.08 thf(f6,axiom,(
% 28.14/4.08 ((^[X3 : $i > $o, X4 : $i > $o] : (mor @ (mnot @ X3) @ X4)) = mimplies)),
% 28.14/4.08 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mimplies)).
% 28.14/4.08 thf(f86,plain,(
% 28.14/4.08 (iimplies = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (mimplies @ (mbox_s4 @ Y0) @ (mbox_s4 @ Y1))))))),
% 28.14/4.08 inference(cnf_transformation,[],[f67])).
% 28.14/4.08 thf(f67,plain,(
% 28.14/4.08 (iimplies = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (mimplies @ (mbox_s4 @ Y0) @ (mbox_s4 @ Y1))))))),
% 28.14/4.08 inference(fool_elimination,[],[f66])).
% 28.14/4.08 thf(f66,plain,(
% 28.14/4.08 ((^[X0 : $i > $o, X1 : $i > $o] : (mimplies @ (mbox_s4 @ X0) @ (mbox_s4 @ X1))) = iimplies)),
% 28.14/4.08 inference(rectify,[],[f14])).
% 28.14/4.08 thf(f14,axiom,(
% 28.14/4.08 ((^[X5 : $i > $o, X7 : $i > $o] : (mimplies @ (mbox_s4 @ X5) @ (mbox_s4 @ X7))) = iimplies)),
% 28.14/4.08 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',iimplies)).
% 28.14/4.08 thf(f93,plain,(
% 28.14/4.08 (iand = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i > $o]: ((^[Y3 : $i > $o]: ((^[Y4 : $i]: ((Y2 @ Y4) & (Y3 @ Y4))))))) @ Y0 @ Y1)))))),
% 28.14/4.08 inference(definition_unfolding,[],[f83,f75])).
% 28.14/4.08 thf(f75,plain,(
% 28.14/4.08 (mand = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: ((Y0 @ Y2) & (Y1 @ Y2))))))))),
% 28.14/4.08 inference(cnf_transformation,[],[f48])).
% 28.14/4.08 thf(f48,plain,(
% 28.14/4.08 (mand = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: ((Y0 @ Y2) & (Y1 @ Y2))))))))),
% 28.14/4.08 inference(fool_elimination,[],[f47])).
% 28.14/4.08 thf(f47,plain,(
% 28.14/4.08 ((^[X0 : $i > $o, X1 : $i > $o, X2 : $i] : ((X1 @ X2) & (X0 @ X2))) = mand)),
% 28.14/4.08 inference(rectify,[],[f5])).
% 28.14/4.08 thf(f5,axiom,(
% 28.14/4.08 ((^[X0 : $i > $o, X1 : $i > $o, X3 : $i] : ((X1 @ X3) & (X0 @ X3))) = mand)),
% 28.14/4.08 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mand)).
% 28.14/4.08 thf(f83,plain,(
% 28.14/4.08 (iand = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (mand @ Y0 @ Y1)))))),
% 28.14/4.08 inference(cnf_transformation,[],[f55])).
% 28.14/4.08 thf(f55,plain,(
% 28.14/4.08 (iand = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (mand @ Y0 @ Y1)))))),
% 28.14/4.08 inference(fool_elimination,[],[f54])).
% 28.14/4.08 thf(f54,plain,(
% 28.14/4.08 ((^[X0 : $i > $o, X1 : $i > $o] : (mand @ X0 @ X1)) = iand)),
% 28.14/4.08 inference(rectify,[],[f12])).
% 28.14/4.08 thf(f12,axiom,(
% 28.14/4.08 ((^[X5 : $i > $o, X7 : $i > $o] : (mand @ X5 @ X7)) = iand)),
% 28.14/4.08 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',iand)).
% 28.14/4.08 thf(f76,plain,(
% 28.14/4.08 (ivalid = (^[Y0 : $i > $o]: (!! @ $i @ (^[Y1 : $i]: (Y0 @ Y1)))))),
% 28.14/4.08 inference(cnf_transformation,[],[f26])).
% 28.14/4.08 thf(f26,plain,(
% 28.14/4.08 (ivalid = (^[Y0 : $i > $o]: (!! @ $i @ (^[Y1 : $i]: (Y0 @ Y1)))))),
% 28.14/4.08 inference(fool_elimination,[],[f25])).
% 28.14/4.08 thf(f25,plain,(
% 28.14/4.08 ((^[X0 : $i > $o] : (! [X1] : (X0 @ X1))) = ivalid)),
% 28.14/4.08 inference(rectify,[],[f18])).
% 28.14/4.08 thf(f18,axiom,(
% 28.14/4.08 ((^[X8 : $i > $o] : (! [X6] : (X8 @ X6))) = ivalid)),
% 28.14/4.08 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ivalid)).
% 28.14/4.08 thf(f73,plain,(
% 28.14/4.08 ((~ (ivalid @ (iand @ (iimplies @ (iand @ (iimplies @ (iatom @ a0) @ (iatom @ f)) @ (iand @ (iimplies @ (iimplies @ (iatom @ b2) @ (iatom @ b0)) @ (iatom @ a2)) @ (iand @ (iimplies @ (iimplies @ (iatom @ b0) @ (iatom @ a1)) @ (iatom @ a0)) @ (iimplies @ (iimplies @ (iatom @ b1) @ (iatom @ a2)) @ (iatom @ a1))))) @ (iatom @ f)) @ (iimplies @ (iand @ (iimplies @ (iimplies @ (iatom @ b1) @ (iatom @ a2)) @ (iatom @ a1)) @ (iand @ (iimplies @ (iimplies @ (iatom @ b0) @ (iatom @ a1)) @ (iatom @ a0)) @ (iand @ (iimplies @ (iimplies @ (iatom @ b2) @ (iatom @ b0)) @ (iatom @ a2)) @ (iimplies @ (iatom @ a0) @ (iatom @ f))))) @ (iatom @ f))))) = $true)),
% 28.14/4.08 inference(cnf_transformation,[],[f32])).
% 28.14/4.08 thf(f32,plain,(
% 28.14/4.08 ((~ (ivalid @ (iand @ (iimplies @ (iand @ (iimplies @ (iatom @ a0) @ (iatom @ f)) @ (iand @ (iimplies @ (iimplies @ (iatom @ b2) @ (iatom @ b0)) @ (iatom @ a2)) @ (iand @ (iimplies @ (iimplies @ (iatom @ b0) @ (iatom @ a1)) @ (iatom @ a0)) @ (iimplies @ (iimplies @ (iatom @ b1) @ (iatom @ a2)) @ (iatom @ a1))))) @ (iatom @ f)) @ (iimplies @ (iand @ (iimplies @ (iimplies @ (iatom @ b1) @ (iatom @ a2)) @ (iatom @ a1)) @ (iand @ (iimplies @ (iimplies @ (iatom @ b0) @ (iatom @ a1)) @ (iatom @ a0)) @ (iand @ (iimplies @ (iimplies @ (iatom @ b2) @ (iatom @ b0)) @ (iatom @ a2)) @ (iimplies @ (iatom @ a0) @ (iatom @ f))))) @ (iatom @ f))))) = $true)),
% 28.14/4.08 inference(fool_elimination,[],[f31])).
% 28.14/4.08 thf(f31,plain,(
% 28.14/4.08 ~(ivalid @ (iand @ (iimplies @ (iand @ (iimplies @ (iatom @ a0) @ (iatom @ f)) @ (iand @ (iimplies @ (iimplies @ (iatom @ b2) @ (iatom @ b0)) @ (iatom @ a2)) @ (iand @ (iimplies @ (iimplies @ (iatom @ b0) @ (iatom @ a1)) @ (iatom @ a0)) @ (iimplies @ (iimplies @ (iatom @ b1) @ (iatom @ a2)) @ (iatom @ a1))))) @ (iatom @ f)) @ (iimplies @ (iand @ (iimplies @ (iimplies @ (iatom @ b1) @ (iatom @ a2)) @ (iatom @ a1)) @ (iand @ (iimplies @ (iimplies @ (iatom @ b0) @ (iatom @ a1)) @ (iatom @ a0)) @ (iand @ (iimplies @ (iimplies @ (iatom @ b2) @ (iatom @ b0)) @ (iatom @ a2)) @ (iimplies @ (iatom @ a0) @ (iatom @ f))))) @ (iatom @ f))))),
% 28.14/4.08 inference(rectify,[],[f23])).
% 28.14/4.08 thf(f23,negated_conjecture,(
% 28.14/4.08 ~(ivalid @ (iand @ (iimplies @ (iand @ (iimplies @ (iatom @ a0) @ (iatom @ f)) @ (iand @ (iimplies @ (iimplies @ (iatom @ b2) @ (iatom @ b0)) @ (iatom @ a2)) @ (iand @ (iimplies @ (iimplies @ (iatom @ b0) @ (iatom @ a1)) @ (iatom @ a0)) @ (iimplies @ (iimplies @ (iatom @ b1) @ (iatom @ a2)) @ (iatom @ a1))))) @ (iatom @ f)) @ (iimplies @ (iand @ (iimplies @ (iimplies @ (iatom @ b1) @ (iatom @ a2)) @ (iatom @ a1)) @ (iand @ (iimplies @ (iimplies @ (iatom @ b0) @ (iatom @ a1)) @ (iatom @ a0)) @ (iand @ (iimplies @ (iimplies @ (iatom @ b2) @ (iatom @ b0)) @ (iatom @ a2)) @ (iimplies @ (iatom @ a0) @ (iatom @ f))))) @ (iatom @ f))))),
% 28.14/4.08 inference(negated_conjecture,[],[f22])).
% 28.14/4.08 thf(f22,conjecture,(
% 28.14/4.08 (ivalid @ (iand @ (iimplies @ (iand @ (iimplies @ (iatom @ a0) @ (iatom @ f)) @ (iand @ (iimplies @ (iimplies @ (iatom @ b2) @ (iatom @ b0)) @ (iatom @ a2)) @ (iand @ (iimplies @ (iimplies @ (iatom @ b0) @ (iatom @ a1)) @ (iatom @ a0)) @ (iimplies @ (iimplies @ (iatom @ b1) @ (iatom @ a2)) @ (iatom @ a1))))) @ (iatom @ f)) @ (iimplies @ (iand @ (iimplies @ (iimplies @ (iatom @ b1) @ (iatom @ a2)) @ (iatom @ a1)) @ (iand @ (iimplies @ (iimplies @ (iatom @ b0) @ (iatom @ a1)) @ (iatom @ a0)) @ (iand @ (iimplies @ (iimplies @ (iatom @ b2) @ (iatom @ b0)) @ (iatom @ a2)) @ (iimplies @ (iatom @ a0) @ (iatom @ f))))) @ (iatom @ f))))),
% 28.14/4.08 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',con)).
% 28.14/4.08 thf(f2094,plain,(
% 28.14/4.08 ((f @ sK2) = $true) | ~spl0_17),
% 28.14/4.08 inference(trivial_inequality_removal,[],[f2092])).
% 28.14/4.08 thf(f2092,plain,(
% 28.14/4.08 ($true = $false) | ((f @ sK2) = $true) | ~spl0_17),
% 28.14/4.08 inference(superposition,[],[f362,f1791])).
% 28.14/4.08 thf(f1791,plain,(
% 28.14/4.08 ( ! [X0 : $i] : (((irel @ sK1 @ X0) = $false) | ((f @ X0) = $true)) ) | ~spl0_17),
% 28.14/4.08 inference(avatar_component_clause,[],[f1790])).
% 28.14/4.08 thf(f1790,plain,(
% 28.14/4.08 spl0_17 <=> ! [X0] : (((f @ X0) = $true) | ((irel @ sK1 @ X0) = $false))),
% 28.14/4.08 introduced(avatar_definition,[new_symbols(naming,[spl0_17])])).
% 28.14/4.08 thf(f362,plain,(
% 28.14/4.08 ($true = (irel @ sK1 @ sK2))),
% 28.14/4.08 inference(duplicate_literal_removal,[],[f361])).
% 28.14/4.08 thf(f361,plain,(
% 28.14/4.08 ($true = (irel @ sK1 @ sK2)) | ($true = (irel @ sK1 @ sK2))),
% 28.14/4.08 inference(not_proxy_clausification,[],[f360])).
% 28.14/4.08 thf(f360,plain,(
% 28.14/4.08 ((~ (irel @ sK1 @ sK2)) = $false) | ($true = (irel @ sK1 @ sK2))),
% 28.14/4.08 inference(boolean_simplification,[],[f359])).
% 28.14/4.08 thf(f359,plain,(
% 28.14/4.08 ($true = (irel @ sK1 @ sK2)) | (((irel @ sK1 @ sK2) => $false) = $false)),
% 28.14/4.08 inference(forward_demodulation,[],[f358,f255])).
% 28.14/4.08 thf(f358,plain,(
% 28.14/4.08 (((irel @ sK1 @ sK2) => (f @ sK2)) = $false) | ($true = (irel @ sK1 @ sK2))),
% 28.14/4.08 inference(beta_eta_normalization,[],[f357])).
% 28.14/4.08 thf(f357,plain,(
% 28.14/4.08 (((^[Y0 : $i]: ((irel @ sK1 @ Y0) => (f @ Y0))) @ sK2) = $false) | ($true = (irel @ sK1 @ sK2))),
% 28.14/4.08 inference(sigma_clausification,[],[f261])).
% 28.14/4.08 thf(f261,plain,(
% 28.14/4.08 ((!! @ $i @ (^[Y0 : $i]: ((irel @ sK1 @ Y0) => (f @ Y0)))) = $false) | ($true = (irel @ sK1 @ sK2))),
% 28.14/4.08 inference(binary_proxy_clausification,[],[f110])).
% 28.14/4.08 thf(f110,plain,(
% 28.14/4.08 (((~ (!! @ $i @ (^[Y0 : $i]: ((irel @ sK1 @ Y0) => (((~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a0 @ Y1))))) | (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (f @ Y1))))) & (((~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => ((~ (!! @ $i @ (^[Y2 : $i]: ((irel @ Y1 @ Y2) => (b2 @ Y2))))) | (!! @ $i @ (^[Y2 : $i]: ((irel @ Y1 @ Y2) => (b0 @ Y2))))))))) | (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a2 @ Y1))))) & (((~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => ((~ (!! @ $i @ (^[Y2 : $i]: ((irel @ Y1 @ Y2) => (b0 @ Y2))))) | (!! @ $i @ (^[Y2 : $i]: ((irel @ Y1 @ Y2) => (a1 @ Y2))))))))) | (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a0 @ Y1))))) & ((~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => ((~ (!! @ $i @ (^[Y2 : $i]: ((irel @ Y1 @ Y2) => (b1 @ Y2))))) | (!! @ $i @ (^[Y2 : $i]: ((irel @ Y1 @ Y2) => (a2 @ Y2))))))))) | (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a1 @ Y1)))))))))))) | (!! @ $i @ (^[Y0 : $i]: ((irel @ sK1 @ Y0) => (f @ Y0))))) = $false) | ($true = (irel @ sK1 @ sK2))),
% 28.14/4.08 inference(binary_proxy_clausification,[],[f108])).
% 28.14/4.08 thf(f2071,plain,(
% 28.14/4.08 ~spl0_18 | ~spl0_30 | ~spl0_39),
% 28.14/4.08 inference(avatar_contradiction_clause,[],[f2070])).
% 28.14/4.08 thf(f2070,plain,(
% 28.14/4.08 $false | (~spl0_18 | ~spl0_30 | ~spl0_39)),
% 28.14/4.08 inference(trivial_inequality_removal,[],[f2069])).
% 28.14/4.08 thf(f2069,plain,(
% 28.14/4.08 ($true = $false) | (~spl0_18 | ~spl0_30 | ~spl0_39)),
% 28.14/4.08 inference(forward_demodulation,[],[f2013,f1795])).
% 28.14/4.08 thf(f1795,plain,(
% 28.14/4.08 ((a0 @ (sK3 @ sK1)) = $false) | ~spl0_18),
% 28.14/4.08 inference(avatar_component_clause,[],[f1793])).
% 28.14/4.08 thf(f1793,plain,(
% 28.14/4.08 spl0_18 <=> ((a0 @ (sK3 @ sK1)) = $false)),
% 28.14/4.08 introduced(avatar_definition,[new_symbols(naming,[spl0_18])])).
% 28.14/4.08 thf(f2013,plain,(
% 28.14/4.08 ((a0 @ (sK3 @ sK1)) = $true) | (~spl0_30 | ~spl0_39)),
% 28.14/4.08 inference(trivial_inequality_removal,[],[f2006])).
% 28.14/4.08 thf(f2006,plain,(
% 28.14/4.08 ($true = $false) | ((a0 @ (sK3 @ sK1)) = $true) | (~spl0_30 | ~spl0_39)),
% 28.14/4.08 inference(superposition,[],[f1876,f1990])).
% 28.14/4.08 thf(f1990,plain,(
% 28.14/4.08 ($true = (irel @ sK1 @ (sK3 @ sK1))) | ~spl0_39),
% 28.14/4.08 inference(avatar_component_clause,[],[f1988])).
% 28.14/4.08 thf(f1988,plain,(
% 28.14/4.08 spl0_39 <=> ($true = (irel @ sK1 @ (sK3 @ sK1)))),
% 28.14/4.08 introduced(avatar_definition,[new_symbols(naming,[spl0_39])])).
% 28.14/4.08 thf(f1876,plain,(
% 28.14/4.08 ( ! [X0 : $i] : (((irel @ sK1 @ X0) = $false) | ($true = (a0 @ X0))) ) | ~spl0_30),
% 28.14/4.08 inference(avatar_component_clause,[],[f1875])).
% 28.14/4.08 thf(f1996,plain,(
% 28.14/4.08 spl0_17 | spl0_39 | ~spl0_2),
% 28.14/4.08 inference(avatar_split_clause,[],[f1975,f133,f1988,f1790])).
% 28.14/4.08 thf(f133,plain,(
% 28.14/4.08 spl0_2 <=> ! [X2,X1] : (((irel @ sK1 @ X1) = $false) | ((irel @ X1 @ X2) = $false) | ((irel @ X1 @ (sK3 @ X1)) = $true) | ((f @ X2) = $true))),
% 28.14/4.08 introduced(avatar_definition,[new_symbols(naming,[spl0_2])])).
% 28.14/4.08 thf(f1975,plain,(
% 28.14/4.08 ( ! [X0 : $i] : (($true = (irel @ sK1 @ (sK3 @ sK1))) | ((f @ X0) = $true) | ((irel @ sK1 @ X0) = $false)) ) | ~spl0_2),
% 28.14/4.08 inference(trivial_inequality_removal,[],[f1967])).
% 28.14/4.08 thf(f1967,plain,(
% 28.14/4.08 ( ! [X0 : $i] : (((f @ X0) = $true) | ($true = $false) | ($true = (irel @ sK1 @ (sK3 @ sK1))) | ((irel @ sK1 @ X0) = $false)) ) | ~spl0_2),
% 28.14/4.08 inference(superposition,[],[f134,f1745])).
% 28.14/4.08 thf(f134,plain,(
% 28.14/4.08 ( ! [X2 : $i,X1 : $i] : (((irel @ sK1 @ X1) = $false) | ((f @ X2) = $true) | ((irel @ X1 @ X2) = $false) | ((irel @ X1 @ (sK3 @ X1)) = $true)) ) | ~spl0_2),
% 28.14/4.08 inference(avatar_component_clause,[],[f133])).
% 28.14/4.08 thf(f1882,plain,(
% 28.14/4.08 spl0_31 | spl0_30 | ~spl0_10),
% 28.14/4.08 inference(avatar_split_clause,[],[f1860,f204,f1875,f1878])).
% 28.14/4.08 thf(f204,plain,(
% 28.14/4.08 spl0_10 <=> ! [X2,X1] : (((a1 @ (sK7 @ X1)) = $false) | ((irel @ X1 @ X2) = $false) | ((a0 @ X2) = $true) | ((irel @ sK1 @ X1) = $false))),
% 28.14/4.08 introduced(avatar_definition,[new_symbols(naming,[spl0_10])])).
% 28.14/4.08 thf(f1860,plain,(
% 28.14/4.08 ( ! [X0 : $i] : (((irel @ sK1 @ X0) = $false) | ($true = (a0 @ X0)) | ((a1 @ (sK7 @ sK1)) = $false)) ) | ~spl0_10),
% 28.14/4.08 inference(trivial_inequality_removal,[],[f1855])).
% 28.14/4.08 thf(f1855,plain,(
% 28.14/4.08 ( ! [X0 : $i] : (((a1 @ (sK7 @ sK1)) = $false) | ($true = (a0 @ X0)) | ($true = $false) | ((irel @ sK1 @ X0) = $false)) ) | ~spl0_10),
% 28.14/4.08 inference(superposition,[],[f1745,f205])).
% 28.14/4.08 thf(f205,plain,(
% 28.14/4.08 ( ! [X2 : $i,X1 : $i] : (((irel @ sK1 @ X1) = $false) | ((a1 @ (sK7 @ X1)) = $false) | ((a0 @ X2) = $true) | ((irel @ X1 @ X2) = $false)) ) | ~spl0_10),
% 28.14/4.08 inference(avatar_component_clause,[],[f204])).
% 28.14/4.08 thf(f1806,plain,(
% 28.14/4.08 spl0_17 | spl0_18 | ~spl0_3),
% 28.14/4.08 inference(avatar_split_clause,[],[f1786,f137,f1793,f1790])).
% 28.14/4.08 thf(f137,plain,(
% 28.14/4.08 spl0_3 <=> ! [X2,X1] : (((irel @ X1 @ X2) = $false) | ((irel @ sK1 @ X1) = $false) | ((f @ X2) = $true) | ((a0 @ (sK3 @ X1)) = $false))),
% 28.14/4.08 introduced(avatar_definition,[new_symbols(naming,[spl0_3])])).
% 28.14/4.08 thf(f1786,plain,(
% 28.14/4.08 ( ! [X0 : $i] : (((f @ X0) = $true) | ((irel @ sK1 @ X0) = $false) | ((a0 @ (sK3 @ sK1)) = $false)) ) | ~spl0_3),
% 28.14/4.08 inference(trivial_inequality_removal,[],[f1776])).
% 28.14/4.08 thf(f1776,plain,(
% 28.14/4.08 ( ! [X0 : $i] : (((f @ X0) = $true) | ((irel @ sK1 @ X0) = $false) | ($true = $false) | ((a0 @ (sK3 @ sK1)) = $false)) ) | ~spl0_3),
% 28.14/4.08 inference(superposition,[],[f138,f1745])).
% 28.14/4.08 thf(f138,plain,(
% 28.14/4.08 ( ! [X2 : $i,X1 : $i] : (((irel @ sK1 @ X1) = $false) | ((a0 @ (sK3 @ X1)) = $false) | ((f @ X2) = $true) | ((irel @ X1 @ X2) = $false)) ) | ~spl0_3),
% 28.14/4.08 inference(avatar_component_clause,[],[f137])).
% 28.14/4.08 thf(f1714,plain,(
% 28.14/4.08 spl0_11 | spl0_11),
% 28.14/4.08 inference(avatar_split_clause,[],[f1713,f213,f213])).
% 28.14/4.08 thf(f1713,plain,(
% 28.14/4.08 ( ! [X2 : $i,X3 : $i,X1 : $i,X6 : $i,X4 : $i,X5 : $i] : (((irel @ sK1 @ X1) = $false) | ((irel @ (sK6 @ X2) @ X6) = $false) | ((a0 @ X4) = $true) | ((b0 @ X6) = $true) | ((irel @ X1 @ X4) = $false) | ((irel @ sK1 @ X2) = $false) | ($false = (irel @ (sK6 @ X1) @ X3)) | ((irel @ X2 @ X5) = $false) | ((b0 @ X3) = $true) | ((a0 @ X5) = $true)) )),
% 28.14/4.08 inference(binary_proxy_clausification,[],[f1712])).
% 28.14/4.08 thf(f1712,plain,(
% 28.14/4.08 ( ! [X2 : $i,X3 : $i,X1 : $i,X6 : $i,X4 : $i,X5 : $i] : (((irel @ X1 @ X4) = $false) | ((irel @ X2 @ X5) = $false) | ((a0 @ X4) = $true) | ($true = ((irel @ (sK6 @ X2) @ X6) => (b0 @ X6))) | ($false = (irel @ (sK6 @ X1) @ X3)) | ((irel @ sK1 @ X2) = $false) | ((a0 @ X5) = $true) | ((irel @ sK1 @ X1) = $false) | ((b0 @ X3) = $true)) )),
% 28.14/4.08 inference(beta_eta_normalization,[],[f1711])).
% 28.14/4.08 thf(f1711,plain,(
% 28.14/4.08 ( ! [X2 : $i,X3 : $i,X1 : $i,X6 : $i,X4 : $i,X5 : $i] : (($false = (irel @ (sK6 @ X1) @ X3)) | ((irel @ X1 @ X4) = $false) | ((irel @ sK1 @ X2) = $false) | ((irel @ X2 @ X5) = $false) | ((a0 @ X4) = $true) | ((irel @ sK1 @ X1) = $false) | ((b0 @ X3) = $true) | ((a0 @ X5) = $true) | ($true = ((^[Y0 : $i]: ((irel @ (sK6 @ X2) @ Y0) => (b0 @ Y0))) @ X6))) )),
% 28.14/4.08 inference(pi_clausification,[],[f1710])).
% 28.14/4.08 thf(f1710,plain,(
% 28.14/4.08 ( ! [X2 : $i,X3 : $i,X1 : $i,X4 : $i,X5 : $i] : (($false = (irel @ (sK6 @ X1) @ X3)) | ((!! @ $i @ (^[Y0 : $i]: ((irel @ (sK6 @ X2) @ Y0) => (b0 @ Y0)))) = $true) | ((irel @ sK1 @ X2) = $false) | ((a0 @ X4) = $true) | ((b0 @ X3) = $true) | ((irel @ X2 @ X5) = $false) | ((irel @ X1 @ X4) = $false) | ((irel @ sK1 @ X1) = $false) | ((a0 @ X5) = $true)) )),
% 28.14/4.08 inference(not_proxy_clausification,[],[f1709])).
% 28.14/4.08 thf(f1709,plain,(
% 28.14/4.08 ( ! [X2 : $i,X3 : $i,X1 : $i,X4 : $i,X5 : $i] : (((irel @ sK1 @ X1) = $false) | ((irel @ X2 @ X5) = $false) | ((a0 @ X5) = $true) | ($false = (irel @ (sK6 @ X1) @ X3)) | ((a0 @ X4) = $true) | ((b0 @ X3) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((irel @ (sK6 @ X2) @ Y0) => (b0 @ Y0))))) = $false) | ((irel @ X1 @ X4) = $false) | ((irel @ sK1 @ X2) = $false)) )),
% 28.14/4.08 inference(binary_proxy_clausification,[],[f1705])).
% 28.14/4.08 thf(f1705,plain,(
% 28.14/4.08 ( ! [X2 : $i,X3 : $i,X1 : $i,X4 : $i,X5 : $i] : (((a0 @ X4) = $true) | ((irel @ sK1 @ X1) = $false) | ((irel @ X1 @ X4) = $false) | (((~ (!! @ $i @ (^[Y0 : $i]: ((irel @ (sK6 @ X2) @ Y0) => (b0 @ Y0))))) | (!! @ $i @ (^[Y0 : $i]: ((irel @ (sK6 @ X2) @ Y0) => (a1 @ Y0))))) = $false) | ((a0 @ X5) = $true) | ((irel @ sK1 @ X2) = $false) | ((b0 @ X3) = $true) | ($false = (irel @ (sK6 @ X1) @ X3)) | ((irel @ X2 @ X5) = $false)) )),
% 28.14/4.08 inference(binary_proxy_clausification,[],[f1704])).
% 28.14/4.08 thf(f1704,plain,(
% 28.14/4.08 ( ! [X2 : $i,X3 : $i,X1 : $i,X4 : $i,X5 : $i] : (((irel @ sK1 @ X1) = $false) | ((irel @ sK1 @ X2) = $false) | ($false = (irel @ (sK6 @ X1) @ X3)) | ((irel @ X2 @ X5) = $false) | ((irel @ X1 @ X4) = $false) | ((a0 @ X5) = $true) | ((a0 @ X4) = $true) | ($false = ((irel @ X2 @ (sK6 @ X2)) => ((~ (!! @ $i @ (^[Y0 : $i]: ((irel @ (sK6 @ X2) @ Y0) => (b0 @ Y0))))) | (!! @ $i @ (^[Y0 : $i]: ((irel @ (sK6 @ X2) @ Y0) => (a1 @ Y0))))))) | ((b0 @ X3) = $true)) )),
% 28.14/4.08 inference(beta_eta_normalization,[],[f1703])).
% 28.14/4.08 thf(f1703,plain,(
% 28.14/4.08 ( ! [X2 : $i,X3 : $i,X1 : $i,X4 : $i,X5 : $i] : (((a0 @ X4) = $true) | ((irel @ X1 @ X4) = $false) | ((b0 @ X3) = $true) | ((irel @ sK1 @ X1) = $false) | ((irel @ X2 @ X5) = $false) | ((a0 @ X5) = $true) | (((^[Y0 : $i]: ((irel @ X2 @ Y0) => ((~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b0 @ Y1))))) | (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a1 @ Y1))))))) @ (sK6 @ X2)) = $false) | ((irel @ sK1 @ X2) = $false) | ($false = (irel @ (sK6 @ X1) @ X3))) )),
% 28.14/4.08 inference(sigma_clausification,[],[f1702])).
% 28.14/4.08 thf(f1702,plain,(
% 28.14/4.08 ( ! [X2 : $i,X3 : $i,X1 : $i,X4 : $i,X5 : $i] : (((b0 @ X3) = $true) | ((irel @ X1 @ X4) = $false) | ((a0 @ X4) = $true) | ((irel @ sK1 @ X1) = $false) | ($false = (irel @ (sK6 @ X1) @ X3)) | ((a0 @ X5) = $true) | ((irel @ X2 @ X5) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((irel @ X2 @ Y0) => ((~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b0 @ Y1))))) | (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a1 @ Y1)))))))) = $false) | ((irel @ sK1 @ X2) = $false)) )),
% 28.14/4.08 inference(binary_proxy_clausification,[],[f1701])).
% 28.14/4.08 thf(f1701,plain,(
% 28.14/4.08 ( ! [X2 : $i,X3 : $i,X1 : $i,X4 : $i,X5 : $i] : (((irel @ X1 @ X4) = $false) | ((b0 @ X3) = $true) | ((a0 @ X4) = $true) | (((irel @ X2 @ X5) => (a0 @ X5)) = $true) | ((irel @ sK1 @ X2) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((irel @ X2 @ Y0) => ((~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b0 @ Y1))))) | (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a1 @ Y1)))))))) = $false) | ($false = (irel @ (sK6 @ X1) @ X3)) | ((irel @ sK1 @ X1) = $false)) )),
% 28.14/4.08 inference(not_proxy_clausification,[],[f1700])).
% 28.14/4.08 thf(f1700,plain,(
% 28.14/4.08 ( ! [X2 : $i,X3 : $i,X1 : $i,X4 : $i,X5 : $i] : (((a0 @ X4) = $true) | ((irel @ sK1 @ X2) = $false) | ((irel @ sK1 @ X1) = $false) | ((~ (!! @ $i @ (^[Y0 : $i]: ((irel @ X2 @ Y0) => ((~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b0 @ Y1))))) | (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a1 @ Y1))))))))) = $true) | (((irel @ X2 @ X5) => (a0 @ X5)) = $true) | ((b0 @ X3) = $true) | ((irel @ X1 @ X4) = $false) | ($false = (irel @ (sK6 @ X1) @ X3))) )),
% 28.14/4.08 inference(beta_eta_normalization,[],[f1699])).
% 28.14/4.08 thf(f1699,plain,(
% 28.14/4.08 ( ! [X2 : $i,X3 : $i,X1 : $i,X4 : $i,X5 : $i] : (((irel @ sK1 @ X2) = $false) | ((irel @ X1 @ X4) = $false) | ((b0 @ X3) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((irel @ X2 @ Y0) => ((~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b0 @ Y1))))) | (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a1 @ Y1))))))))) = $true) | ((irel @ sK1 @ X1) = $false) | ($false = (irel @ (sK6 @ X1) @ X3)) | (((^[Y0 : $i]: ((irel @ X2 @ Y0) => (a0 @ Y0))) @ X5) = $true) | ((a0 @ X4) = $true)) )),
% 28.14/4.08 inference(pi_clausification,[],[f1698])).
% 28.14/4.08 thf(f1698,plain,(
% 28.14/4.08 ( ! [X2 : $i,X3 : $i,X1 : $i,X4 : $i] : (((b0 @ X3) = $true) | ((irel @ sK1 @ X1) = $false) | ((a0 @ X4) = $true) | ($true = (!! @ $i @ (^[Y0 : $i]: ((irel @ X2 @ Y0) => (a0 @ Y0))))) | ($false = (irel @ (sK6 @ X1) @ X3)) | ((irel @ sK1 @ X2) = $false) | ((irel @ X1 @ X4) = $false) | ((~ (!! @ $i @ (^[Y0 : $i]: ((irel @ X2 @ Y0) => ((~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b0 @ Y1))))) | (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a1 @ Y1))))))))) = $true)) )),
% 28.14/4.08 inference(binary_proxy_clausification,[],[f1674])).
% 28.14/4.08 thf(f1674,plain,(
% 28.14/4.08 ( ! [X2 : $i,X3 : $i,X1 : $i,X4 : $i] : (($false = (irel @ (sK6 @ X1) @ X3)) | ((irel @ sK1 @ X2) = $false) | ((b0 @ X3) = $true) | ($true = ((~ (!! @ $i @ (^[Y0 : $i]: ((irel @ X2 @ Y0) => ((~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b0 @ Y1))))) | (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a1 @ Y1))))))))) | (!! @ $i @ (^[Y0 : $i]: ((irel @ X2 @ Y0) => (a0 @ Y0)))))) | ((irel @ sK1 @ X1) = $false) | ((irel @ X1 @ X4) = $false) | ((a0 @ X4) = $true)) )),
% 28.14/4.08 inference(binary_proxy_clausification,[],[f1671])).
% 28.14/4.08 thf(f1671,plain,(
% 28.14/4.08 ( ! [X2 : $i,X3 : $i,X1 : $i,X4 : $i] : (((irel @ sK1 @ X2) = $false) | ((a0 @ X4) = $true) | ($false = (irel @ (sK6 @ X1) @ X3)) | ((b0 @ X3) = $true) | ((irel @ sK1 @ X1) = $false) | ((irel @ X1 @ X4) = $false) | ((((~ (!! @ $i @ (^[Y0 : $i]: ((irel @ X2 @ Y0) => ((~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b0 @ Y1))))) | (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a1 @ Y1))))))))) | (!! @ $i @ (^[Y0 : $i]: ((irel @ X2 @ Y0) => (a0 @ Y0))))) & ((~ (!! @ $i @ (^[Y0 : $i]: ((irel @ X2 @ Y0) => ((~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b1 @ Y1))))) | (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a2 @ Y1))))))))) | (!! @ $i @ (^[Y0 : $i]: ((irel @ X2 @ Y0) => (a1 @ Y0)))))) = $true)) )),
% 28.14/4.08 inference(binary_proxy_clausification,[],[f1670])).
% 28.14/4.08 thf(f1670,plain,(
% 28.14/4.08 ( ! [X2 : $i,X3 : $i,X1 : $i,X4 : $i] : (((a0 @ X4) = $true) | ($true = (((~ (!! @ $i @ (^[Y0 : $i]: ((irel @ X2 @ Y0) => ((~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b2 @ Y1))))) | (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b0 @ Y1))))))))) | (!! @ $i @ (^[Y0 : $i]: ((irel @ X2 @ Y0) => (a2 @ Y0))))) & (((~ (!! @ $i @ (^[Y0 : $i]: ((irel @ X2 @ Y0) => ((~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b0 @ Y1))))) | (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a1 @ Y1))))))))) | (!! @ $i @ (^[Y0 : $i]: ((irel @ X2 @ Y0) => (a0 @ Y0))))) & ((~ (!! @ $i @ (^[Y0 : $i]: ((irel @ X2 @ Y0) => ((~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b1 @ Y1))))) | (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a2 @ Y1))))))))) | (!! @ $i @ (^[Y0 : $i]: ((irel @ X2 @ Y0) => (a1 @ Y0)))))))) | ((irel @ sK1 @ X2) = $false) | ((irel @ X1 @ X4) = $false) | ((irel @ sK1 @ X1) = $false) | ((b0 @ X3) = $true) | ($false = (irel @ (sK6 @ X1) @ X3))) )),
% 28.14/4.08 inference(binary_proxy_clausification,[],[f1669])).
% 28.14/4.08 thf(f1669,plain,(
% 28.14/4.08 ( ! [X2 : $i,X3 : $i,X1 : $i,X4 : $i] : ((((irel @ (sK6 @ X1) @ X3) => (b0 @ X3)) = $true) | ((irel @ sK1 @ X2) = $false) | ((irel @ sK1 @ X1) = $false) | ($true = (((~ (!! @ $i @ (^[Y0 : $i]: ((irel @ X2 @ Y0) => ((~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b2 @ Y1))))) | (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b0 @ Y1))))))))) | (!! @ $i @ (^[Y0 : $i]: ((irel @ X2 @ Y0) => (a2 @ Y0))))) & (((~ (!! @ $i @ (^[Y0 : $i]: ((irel @ X2 @ Y0) => ((~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b0 @ Y1))))) | (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a1 @ Y1))))))))) | (!! @ $i @ (^[Y0 : $i]: ((irel @ X2 @ Y0) => (a0 @ Y0))))) & ((~ (!! @ $i @ (^[Y0 : $i]: ((irel @ X2 @ Y0) => ((~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b1 @ Y1))))) | (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a2 @ Y1))))))))) | (!! @ $i @ (^[Y0 : $i]: ((irel @ X2 @ Y0) => (a1 @ Y0)))))))) | ((a0 @ X4) = $true) | ((irel @ X1 @ X4) = $false)) )),
% 28.14/4.08 inference(binary_proxy_clausification,[],[f1668])).
% 28.14/4.08 thf(f1668,plain,(
% 28.14/4.08 ( ! [X2 : $i,X3 : $i,X1 : $i,X4 : $i] : (($true = ((irel @ X1 @ X4) => (a0 @ X4))) | ((irel @ sK1 @ X1) = $false) | ((irel @ sK1 @ X2) = $false) | (((irel @ (sK6 @ X1) @ X3) => (b0 @ X3)) = $true) | ($true = (((~ (!! @ $i @ (^[Y0 : $i]: ((irel @ X2 @ Y0) => ((~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b2 @ Y1))))) | (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b0 @ Y1))))))))) | (!! @ $i @ (^[Y0 : $i]: ((irel @ X2 @ Y0) => (a2 @ Y0))))) & (((~ (!! @ $i @ (^[Y0 : $i]: ((irel @ X2 @ Y0) => ((~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b0 @ Y1))))) | (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a1 @ Y1))))))))) | (!! @ $i @ (^[Y0 : $i]: ((irel @ X2 @ Y0) => (a0 @ Y0))))) & ((~ (!! @ $i @ (^[Y0 : $i]: ((irel @ X2 @ Y0) => ((~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b1 @ Y1))))) | (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a2 @ Y1))))))))) | (!! @ $i @ (^[Y0 : $i]: ((irel @ X2 @ Y0) => (a1 @ Y0))))))))) )),
% 28.14/4.08 inference(beta_eta_normalization,[],[f1667])).
% 28.14/4.08 thf(f1667,plain,(
% 28.14/4.08 ( ! [X2 : $i,X3 : $i,X1 : $i,X4 : $i] : ((((irel @ (sK6 @ X1) @ X3) => (b0 @ X3)) = $true) | (((^[Y0 : $i]: ((irel @ X1 @ Y0) => (a0 @ Y0))) @ X4) = $true) | ((irel @ sK1 @ X2) = $false) | ($true = (((~ (!! @ $i @ (^[Y0 : $i]: ((irel @ X2 @ Y0) => ((~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b2 @ Y1))))) | (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b0 @ Y1))))))))) | (!! @ $i @ (^[Y0 : $i]: ((irel @ X2 @ Y0) => (a2 @ Y0))))) & (((~ (!! @ $i @ (^[Y0 : $i]: ((irel @ X2 @ Y0) => ((~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b0 @ Y1))))) | (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a1 @ Y1))))))))) | (!! @ $i @ (^[Y0 : $i]: ((irel @ X2 @ Y0) => (a0 @ Y0))))) & ((~ (!! @ $i @ (^[Y0 : $i]: ((irel @ X2 @ Y0) => ((~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b1 @ Y1))))) | (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a2 @ Y1))))))))) | (!! @ $i @ (^[Y0 : $i]: ((irel @ X2 @ Y0) => (a1 @ Y0)))))))) | ((irel @ sK1 @ X1) = $false)) )),
% 28.14/4.08 inference(pi_clausification,[],[f1666])).
% 28.14/4.08 thf(f1666,plain,(
% 28.14/4.08 ( ! [X2 : $i,X3 : $i,X1 : $i] : (((!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => (a0 @ Y0)))) = $true) | ($true = (((~ (!! @ $i @ (^[Y0 : $i]: ((irel @ X2 @ Y0) => ((~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b2 @ Y1))))) | (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b0 @ Y1))))))))) | (!! @ $i @ (^[Y0 : $i]: ((irel @ X2 @ Y0) => (a2 @ Y0))))) & (((~ (!! @ $i @ (^[Y0 : $i]: ((irel @ X2 @ Y0) => ((~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b0 @ Y1))))) | (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a1 @ Y1))))))))) | (!! @ $i @ (^[Y0 : $i]: ((irel @ X2 @ Y0) => (a0 @ Y0))))) & ((~ (!! @ $i @ (^[Y0 : $i]: ((irel @ X2 @ Y0) => ((~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b1 @ Y1))))) | (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a2 @ Y1))))))))) | (!! @ $i @ (^[Y0 : $i]: ((irel @ X2 @ Y0) => (a1 @ Y0)))))))) | ((irel @ sK1 @ X2) = $false) | (((irel @ (sK6 @ X1) @ X3) => (b0 @ X3)) = $true) | ((irel @ sK1 @ X1) = $false)) )),
% 28.14/4.08 inference(beta_eta_normalization,[],[f1665])).
% 28.14/4.08 thf(f1665,plain,(
% 28.14/4.08 ( ! [X2 : $i,X3 : $i,X1 : $i] : (((!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => (a0 @ Y0)))) = $true) | ((irel @ sK1 @ X1) = $false) | (((^[Y0 : $i]: ((irel @ (sK6 @ X1) @ Y0) => (b0 @ Y0))) @ X3) = $true) | ($true = (((~ (!! @ $i @ (^[Y0 : $i]: ((irel @ X2 @ Y0) => ((~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b2 @ Y1))))) | (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b0 @ Y1))))))))) | (!! @ $i @ (^[Y0 : $i]: ((irel @ X2 @ Y0) => (a2 @ Y0))))) & (((~ (!! @ $i @ (^[Y0 : $i]: ((irel @ X2 @ Y0) => ((~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b0 @ Y1))))) | (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a1 @ Y1))))))))) | (!! @ $i @ (^[Y0 : $i]: ((irel @ X2 @ Y0) => (a0 @ Y0))))) & ((~ (!! @ $i @ (^[Y0 : $i]: ((irel @ X2 @ Y0) => ((~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b1 @ Y1))))) | (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a2 @ Y1))))))))) | (!! @ $i @ (^[Y0 : $i]: ((irel @ X2 @ Y0) => (a1 @ Y0)))))))) | ((irel @ sK1 @ X2) = $false)) )),
% 28.14/4.08 inference(pi_clausification,[],[f1664])).
% 28.14/4.08 thf(f1664,plain,(
% 28.14/4.08 ( ! [X2 : $i,X1 : $i] : (((irel @ sK1 @ X1) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((irel @ (sK6 @ X1) @ Y0) => (b0 @ Y0)))) = $true) | ((irel @ sK1 @ X2) = $false) | ($true = (((~ (!! @ $i @ (^[Y0 : $i]: ((irel @ X2 @ Y0) => ((~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b2 @ Y1))))) | (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b0 @ Y1))))))))) | (!! @ $i @ (^[Y0 : $i]: ((irel @ X2 @ Y0) => (a2 @ Y0))))) & (((~ (!! @ $i @ (^[Y0 : $i]: ((irel @ X2 @ Y0) => ((~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b0 @ Y1))))) | (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a1 @ Y1))))))))) | (!! @ $i @ (^[Y0 : $i]: ((irel @ X2 @ Y0) => (a0 @ Y0))))) & ((~ (!! @ $i @ (^[Y0 : $i]: ((irel @ X2 @ Y0) => ((~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b1 @ Y1))))) | (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a2 @ Y1))))))))) | (!! @ $i @ (^[Y0 : $i]: ((irel @ X2 @ Y0) => (a1 @ Y0)))))))) | ((!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => (a0 @ Y0)))) = $true)) )),
% 28.14/4.08 inference(not_proxy_clausification,[],[f1507])).
% 28.14/4.08 thf(f1507,plain,(
% 28.14/4.08 ( ! [X2 : $i,X1 : $i] : (((irel @ sK1 @ X1) = $false) | ((~ (!! @ $i @ (^[Y0 : $i]: ((irel @ (sK6 @ X1) @ Y0) => (b0 @ Y0))))) = $false) | ($true = (((~ (!! @ $i @ (^[Y0 : $i]: ((irel @ X2 @ Y0) => ((~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b2 @ Y1))))) | (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b0 @ Y1))))))))) | (!! @ $i @ (^[Y0 : $i]: ((irel @ X2 @ Y0) => (a2 @ Y0))))) & (((~ (!! @ $i @ (^[Y0 : $i]: ((irel @ X2 @ Y0) => ((~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b0 @ Y1))))) | (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a1 @ Y1))))))))) | (!! @ $i @ (^[Y0 : $i]: ((irel @ X2 @ Y0) => (a0 @ Y0))))) & ((~ (!! @ $i @ (^[Y0 : $i]: ((irel @ X2 @ Y0) => ((~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b1 @ Y1))))) | (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a2 @ Y1))))))))) | (!! @ $i @ (^[Y0 : $i]: ((irel @ X2 @ Y0) => (a1 @ Y0)))))))) | ((!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => (a0 @ Y0)))) = $true) | ((irel @ sK1 @ X2) = $false)) )),
% 28.14/4.08 inference(binary_proxy_clausification,[],[f1412])).
% 28.14/4.08 thf(f1412,plain,(
% 28.14/4.08 ( ! [X2 : $i,X1 : $i] : ((((~ (!! @ $i @ (^[Y0 : $i]: ((irel @ (sK6 @ X1) @ Y0) => (b0 @ Y0))))) | (!! @ $i @ (^[Y0 : $i]: ((irel @ (sK6 @ X1) @ Y0) => (a1 @ Y0))))) = $false) | ((irel @ sK1 @ X2) = $false) | ($true = (((~ (!! @ $i @ (^[Y0 : $i]: ((irel @ X2 @ Y0) => ((~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b2 @ Y1))))) | (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b0 @ Y1))))))))) | (!! @ $i @ (^[Y0 : $i]: ((irel @ X2 @ Y0) => (a2 @ Y0))))) & (((~ (!! @ $i @ (^[Y0 : $i]: ((irel @ X2 @ Y0) => ((~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b0 @ Y1))))) | (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a1 @ Y1))))))))) | (!! @ $i @ (^[Y0 : $i]: ((irel @ X2 @ Y0) => (a0 @ Y0))))) & ((~ (!! @ $i @ (^[Y0 : $i]: ((irel @ X2 @ Y0) => ((~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b1 @ Y1))))) | (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a2 @ Y1))))))))) | (!! @ $i @ (^[Y0 : $i]: ((irel @ X2 @ Y0) => (a1 @ Y0)))))))) | ((irel @ sK1 @ X1) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => (a0 @ Y0)))) = $true)) )),
% 28.14/4.08 inference(binary_proxy_clausification,[],[f1411])).
% 28.14/4.08 thf(f1411,plain,(
% 28.14/4.08 ( ! [X2 : $i,X1 : $i] : (((irel @ sK1 @ X2) = $false) | (((irel @ X1 @ (sK6 @ X1)) => ((~ (!! @ $i @ (^[Y0 : $i]: ((irel @ (sK6 @ X1) @ Y0) => (b0 @ Y0))))) | (!! @ $i @ (^[Y0 : $i]: ((irel @ (sK6 @ X1) @ Y0) => (a1 @ Y0)))))) = $false) | ($true = (((~ (!! @ $i @ (^[Y0 : $i]: ((irel @ X2 @ Y0) => ((~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b2 @ Y1))))) | (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b0 @ Y1))))))))) | (!! @ $i @ (^[Y0 : $i]: ((irel @ X2 @ Y0) => (a2 @ Y0))))) & (((~ (!! @ $i @ (^[Y0 : $i]: ((irel @ X2 @ Y0) => ((~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b0 @ Y1))))) | (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a1 @ Y1))))))))) | (!! @ $i @ (^[Y0 : $i]: ((irel @ X2 @ Y0) => (a0 @ Y0))))) & ((~ (!! @ $i @ (^[Y0 : $i]: ((irel @ X2 @ Y0) => ((~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b1 @ Y1))))) | (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a2 @ Y1))))))))) | (!! @ $i @ (^[Y0 : $i]: ((irel @ X2 @ Y0) => (a1 @ Y0)))))))) | ((irel @ sK1 @ X1) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => (a0 @ Y0)))) = $true)) )),
% 28.14/4.08 inference(beta_eta_normalization,[],[f1410])).
% 28.14/4.08 thf(f1410,plain,(
% 28.14/4.08 ( ! [X2 : $i,X1 : $i] : (((!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => (a0 @ Y0)))) = $true) | ((irel @ sK1 @ X1) = $false) | (((^[Y0 : $i]: ((irel @ X1 @ Y0) => ((~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b0 @ Y1))))) | (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a1 @ Y1))))))) @ (sK6 @ X1)) = $false) | ($true = (((~ (!! @ $i @ (^[Y0 : $i]: ((irel @ X2 @ Y0) => ((~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b2 @ Y1))))) | (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b0 @ Y1))))))))) | (!! @ $i @ (^[Y0 : $i]: ((irel @ X2 @ Y0) => (a2 @ Y0))))) & (((~ (!! @ $i @ (^[Y0 : $i]: ((irel @ X2 @ Y0) => ((~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b0 @ Y1))))) | (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a1 @ Y1))))))))) | (!! @ $i @ (^[Y0 : $i]: ((irel @ X2 @ Y0) => (a0 @ Y0))))) & ((~ (!! @ $i @ (^[Y0 : $i]: ((irel @ X2 @ Y0) => ((~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b1 @ Y1))))) | (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a2 @ Y1))))))))) | (!! @ $i @ (^[Y0 : $i]: ((irel @ X2 @ Y0) => (a1 @ Y0)))))))) | ((irel @ sK1 @ X2) = $false)) )),
% 28.14/4.08 inference(sigma_clausification,[],[f1409])).
% 28.14/4.08 thf(f1409,plain,(
% 28.14/4.08 ( ! [X2 : $i,X1 : $i] : (((irel @ sK1 @ X2) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => ((~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b0 @ Y1))))) | (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a1 @ Y1)))))))) = $false) | ((irel @ sK1 @ X1) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => (a0 @ Y0)))) = $true) | ($true = (((~ (!! @ $i @ (^[Y0 : $i]: ((irel @ X2 @ Y0) => ((~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b2 @ Y1))))) | (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b0 @ Y1))))))))) | (!! @ $i @ (^[Y0 : $i]: ((irel @ X2 @ Y0) => (a2 @ Y0))))) & (((~ (!! @ $i @ (^[Y0 : $i]: ((irel @ X2 @ Y0) => ((~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b0 @ Y1))))) | (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a1 @ Y1))))))))) | (!! @ $i @ (^[Y0 : $i]: ((irel @ X2 @ Y0) => (a0 @ Y0))))) & ((~ (!! @ $i @ (^[Y0 : $i]: ((irel @ X2 @ Y0) => ((~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b1 @ Y1))))) | (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a2 @ Y1))))))))) | (!! @ $i @ (^[Y0 : $i]: ((irel @ X2 @ Y0) => (a1 @ Y0))))))))) )),
% 28.14/4.08 inference(not_proxy_clausification,[],[f1408])).
% 28.14/4.08 thf(f1408,plain,(
% 28.14/4.08 ( ! [X2 : $i,X1 : $i] : (($true = (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => ((~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b0 @ Y1))))) | (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a1 @ Y1)))))))))) | ((!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => (a0 @ Y0)))) = $true) | ((irel @ sK1 @ X1) = $false) | ((irel @ sK1 @ X2) = $false) | ($true = (((~ (!! @ $i @ (^[Y0 : $i]: ((irel @ X2 @ Y0) => ((~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b2 @ Y1))))) | (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b0 @ Y1))))))))) | (!! @ $i @ (^[Y0 : $i]: ((irel @ X2 @ Y0) => (a2 @ Y0))))) & (((~ (!! @ $i @ (^[Y0 : $i]: ((irel @ X2 @ Y0) => ((~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b0 @ Y1))))) | (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a1 @ Y1))))))))) | (!! @ $i @ (^[Y0 : $i]: ((irel @ X2 @ Y0) => (a0 @ Y0))))) & ((~ (!! @ $i @ (^[Y0 : $i]: ((irel @ X2 @ Y0) => ((~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b1 @ Y1))))) | (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a2 @ Y1))))))))) | (!! @ $i @ (^[Y0 : $i]: ((irel @ X2 @ Y0) => (a1 @ Y0))))))))) )),
% 28.14/4.08 inference(binary_proxy_clausification,[],[f902])).
% 28.14/4.08 thf(f902,plain,(
% 28.14/4.08 ( ! [X2 : $i,X1 : $i] : ((((~ (!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => ((~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b0 @ Y1))))) | (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a1 @ Y1))))))))) | (!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => (a0 @ Y0))))) = $true) | ((irel @ sK1 @ X1) = $false) | ($true = (((~ (!! @ $i @ (^[Y0 : $i]: ((irel @ X2 @ Y0) => ((~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b2 @ Y1))))) | (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b0 @ Y1))))))))) | (!! @ $i @ (^[Y0 : $i]: ((irel @ X2 @ Y0) => (a2 @ Y0))))) & (((~ (!! @ $i @ (^[Y0 : $i]: ((irel @ X2 @ Y0) => ((~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b0 @ Y1))))) | (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a1 @ Y1))))))))) | (!! @ $i @ (^[Y0 : $i]: ((irel @ X2 @ Y0) => (a0 @ Y0))))) & ((~ (!! @ $i @ (^[Y0 : $i]: ((irel @ X2 @ Y0) => ((~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b1 @ Y1))))) | (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a2 @ Y1))))))))) | (!! @ $i @ (^[Y0 : $i]: ((irel @ X2 @ Y0) => (a1 @ Y0)))))))) | ((irel @ sK1 @ X2) = $false)) )),
% 28.14/4.08 inference(binary_proxy_clausification,[],[f589])).
% 28.14/4.08 thf(f589,plain,(
% 28.14/4.08 ( ! [X2 : $i,X1 : $i] : (((irel @ sK1 @ X1) = $false) | ((((~ (!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => ((~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b0 @ Y1))))) | (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a1 @ Y1))))))))) | (!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => (a0 @ Y0))))) & (((~ (!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => ((~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b2 @ Y1))))) | (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b0 @ Y1))))))))) | (!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => (a2 @ Y0))))) & ((~ (!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => (a0 @ Y0))))) | (!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => (f @ Y0))))))) = $true) | ($true = (((~ (!! @ $i @ (^[Y0 : $i]: ((irel @ X2 @ Y0) => ((~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b2 @ Y1))))) | (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b0 @ Y1))))))))) | (!! @ $i @ (^[Y0 : $i]: ((irel @ X2 @ Y0) => (a2 @ Y0))))) & (((~ (!! @ $i @ (^[Y0 : $i]: ((irel @ X2 @ Y0) => ((~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b0 @ Y1))))) | (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a1 @ Y1))))))))) | (!! @ $i @ (^[Y0 : $i]: ((irel @ X2 @ Y0) => (a0 @ Y0))))) & ((~ (!! @ $i @ (^[Y0 : $i]: ((irel @ X2 @ Y0) => ((~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b1 @ Y1))))) | (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a2 @ Y1))))))))) | (!! @ $i @ (^[Y0 : $i]: ((irel @ X2 @ Y0) => (a1 @ Y0)))))))) | ((irel @ sK1 @ X2) = $false)) )),
% 28.14/4.08 inference(binary_proxy_clausification,[],[f588])).
% 28.14/4.08 thf(f588,plain,(
% 28.14/4.08 ( ! [X2 : $i,X1 : $i] : (($true = (((~ (!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => ((~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b1 @ Y1))))) | (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a2 @ Y1))))))))) | (!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => (a1 @ Y0))))) & (((~ (!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => ((~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b0 @ Y1))))) | (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a1 @ Y1))))))))) | (!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => (a0 @ Y0))))) & (((~ (!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => ((~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b2 @ Y1))))) | (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b0 @ Y1))))))))) | (!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => (a2 @ Y0))))) & ((~ (!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => (a0 @ Y0))))) | (!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => (f @ Y0))))))))) | ($true = (((~ (!! @ $i @ (^[Y0 : $i]: ((irel @ X2 @ Y0) => ((~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b2 @ Y1))))) | (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b0 @ Y1))))))))) | (!! @ $i @ (^[Y0 : $i]: ((irel @ X2 @ Y0) => (a2 @ Y0))))) & (((~ (!! @ $i @ (^[Y0 : $i]: ((irel @ X2 @ Y0) => ((~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b0 @ Y1))))) | (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a1 @ Y1))))))))) | (!! @ $i @ (^[Y0 : $i]: ((irel @ X2 @ Y0) => (a0 @ Y0))))) & ((~ (!! @ $i @ (^[Y0 : $i]: ((irel @ X2 @ Y0) => ((~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b1 @ Y1))))) | (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a2 @ Y1))))))))) | (!! @ $i @ (^[Y0 : $i]: ((irel @ X2 @ Y0) => (a1 @ Y0)))))))) | ((irel @ sK1 @ X2) = $false) | ((irel @ sK1 @ X1) = $false)) )),
% 28.14/4.08 inference(binary_proxy_clausification,[],[f378])).
% 28.14/4.08 thf(f378,plain,(
% 28.14/4.08 ( ! [X2 : $i,X1 : $i] : (((irel @ sK1 @ X2) = $false) | (((irel @ sK1 @ X1) => (((~ (!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => ((~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b1 @ Y1))))) | (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a2 @ Y1))))))))) | (!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => (a1 @ Y0))))) & (((~ (!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => ((~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b0 @ Y1))))) | (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a1 @ Y1))))))))) | (!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => (a0 @ Y0))))) & (((~ (!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => ((~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b2 @ Y1))))) | (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b0 @ Y1))))))))) | (!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => (a2 @ Y0))))) & ((~ (!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => (a0 @ Y0))))) | (!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => (f @ Y0))))))))) = $true) | ($true = (((~ (!! @ $i @ (^[Y0 : $i]: ((irel @ X2 @ Y0) => ((~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b2 @ Y1))))) | (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b0 @ Y1))))))))) | (!! @ $i @ (^[Y0 : $i]: ((irel @ X2 @ Y0) => (a2 @ Y0))))) & (((~ (!! @ $i @ (^[Y0 : $i]: ((irel @ X2 @ Y0) => ((~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b0 @ Y1))))) | (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a1 @ Y1))))))))) | (!! @ $i @ (^[Y0 : $i]: ((irel @ X2 @ Y0) => (a0 @ Y0))))) & ((~ (!! @ $i @ (^[Y0 : $i]: ((irel @ X2 @ Y0) => ((~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b1 @ Y1))))) | (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a2 @ Y1))))))))) | (!! @ $i @ (^[Y0 : $i]: ((irel @ X2 @ Y0) => (a1 @ Y0))))))))) )),
% 28.14/4.08 inference(binary_proxy_clausification,[],[f377])).
% 28.14/4.08 thf(f377,plain,(
% 28.14/4.08 ( ! [X2 : $i,X1 : $i] : (($true = (((~ (!! @ $i @ (^[Y0 : $i]: ((irel @ X2 @ Y0) => (a0 @ Y0))))) | (!! @ $i @ (^[Y0 : $i]: ((irel @ X2 @ Y0) => (f @ Y0))))) & (((~ (!! @ $i @ (^[Y0 : $i]: ((irel @ X2 @ Y0) => ((~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b2 @ Y1))))) | (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b0 @ Y1))))))))) | (!! @ $i @ (^[Y0 : $i]: ((irel @ X2 @ Y0) => (a2 @ Y0))))) & (((~ (!! @ $i @ (^[Y0 : $i]: ((irel @ X2 @ Y0) => ((~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b0 @ Y1))))) | (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a1 @ Y1))))))))) | (!! @ $i @ (^[Y0 : $i]: ((irel @ X2 @ Y0) => (a0 @ Y0))))) & ((~ (!! @ $i @ (^[Y0 : $i]: ((irel @ X2 @ Y0) => ((~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b1 @ Y1))))) | (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a2 @ Y1))))))))) | (!! @ $i @ (^[Y0 : $i]: ((irel @ X2 @ Y0) => (a1 @ Y0))))))))) | ((irel @ sK1 @ X2) = $false) | (((irel @ sK1 @ X1) => (((~ (!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => ((~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b1 @ Y1))))) | (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a2 @ Y1))))))))) | (!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => (a1 @ Y0))))) & (((~ (!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => ((~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b0 @ Y1))))) | (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a1 @ Y1))))))))) | (!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => (a0 @ Y0))))) & (((~ (!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => ((~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b2 @ Y1))))) | (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b0 @ Y1))))))))) | (!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => (a2 @ Y0))))) & ((~ (!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => (a0 @ Y0))))) | (!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => (f @ Y0))))))))) = $true)) )),
% 28.14/4.08 inference(binary_proxy_clausification,[],[f376])).
% 28.14/4.08 thf(f376,plain,(
% 28.14/4.08 ( ! [X2 : $i,X1 : $i] : ((((irel @ sK1 @ X2) => (((~ (!! @ $i @ (^[Y0 : $i]: ((irel @ X2 @ Y0) => (a0 @ Y0))))) | (!! @ $i @ (^[Y0 : $i]: ((irel @ X2 @ Y0) => (f @ Y0))))) & (((~ (!! @ $i @ (^[Y0 : $i]: ((irel @ X2 @ Y0) => ((~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b2 @ Y1))))) | (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b0 @ Y1))))))))) | (!! @ $i @ (^[Y0 : $i]: ((irel @ X2 @ Y0) => (a2 @ Y0))))) & (((~ (!! @ $i @ (^[Y0 : $i]: ((irel @ X2 @ Y0) => ((~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b0 @ Y1))))) | (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a1 @ Y1))))))))) | (!! @ $i @ (^[Y0 : $i]: ((irel @ X2 @ Y0) => (a0 @ Y0))))) & ((~ (!! @ $i @ (^[Y0 : $i]: ((irel @ X2 @ Y0) => ((~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b1 @ Y1))))) | (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a2 @ Y1))))))))) | (!! @ $i @ (^[Y0 : $i]: ((irel @ X2 @ Y0) => (a1 @ Y0))))))))) = $true) | (((irel @ sK1 @ X1) => (((~ (!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => ((~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b1 @ Y1))))) | (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a2 @ Y1))))))))) | (!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => (a1 @ Y0))))) & (((~ (!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => ((~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b0 @ Y1))))) | (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a1 @ Y1))))))))) | (!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => (a0 @ Y0))))) & (((~ (!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => ((~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b2 @ Y1))))) | (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b0 @ Y1))))))))) | (!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => (a2 @ Y0))))) & ((~ (!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => (a0 @ Y0))))) | (!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => (f @ Y0))))))))) = $true)) )),
% 28.14/4.08 inference(beta_eta_normalization,[],[f375])).
% 28.14/4.08 thf(f375,plain,(
% 28.14/4.08 ( ! [X2 : $i,X1 : $i] : ((((irel @ sK1 @ X1) => (((~ (!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => ((~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b1 @ Y1))))) | (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a2 @ Y1))))))))) | (!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => (a1 @ Y0))))) & (((~ (!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => ((~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b0 @ Y1))))) | (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a1 @ Y1))))))))) | (!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => (a0 @ Y0))))) & (((~ (!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => ((~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b2 @ Y1))))) | (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b0 @ Y1))))))))) | (!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => (a2 @ Y0))))) & ((~ (!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => (a0 @ Y0))))) | (!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => (f @ Y0))))))))) = $true) | (((^[Y0 : $i]: ((irel @ sK1 @ Y0) => (((~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a0 @ Y1))))) | (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (f @ Y1))))) & (((~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => ((~ (!! @ $i @ (^[Y2 : $i]: ((irel @ Y1 @ Y2) => (b2 @ Y2))))) | (!! @ $i @ (^[Y2 : $i]: ((irel @ Y1 @ Y2) => (b0 @ Y2))))))))) | (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a2 @ Y1))))) & (((~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => ((~ (!! @ $i @ (^[Y2 : $i]: ((irel @ Y1 @ Y2) => (b0 @ Y2))))) | (!! @ $i @ (^[Y2 : $i]: ((irel @ Y1 @ Y2) => (a1 @ Y2))))))))) | (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a0 @ Y1))))) & ((~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => ((~ (!! @ $i @ (^[Y2 : $i]: ((irel @ Y1 @ Y2) => (b1 @ Y2))))) | (!! @ $i @ (^[Y2 : $i]: ((irel @ Y1 @ Y2) => (a2 @ Y2))))))))) | (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a1 @ Y1)))))))))) @ X2) = $true)) )),
% 28.14/4.08 inference(pi_clausification,[],[f374])).
% 28.14/4.08 thf(f374,plain,(
% 28.14/4.08 ( ! [X1 : $i] : (((!! @ $i @ (^[Y0 : $i]: ((irel @ sK1 @ Y0) => (((~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a0 @ Y1))))) | (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (f @ Y1))))) & (((~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => ((~ (!! @ $i @ (^[Y2 : $i]: ((irel @ Y1 @ Y2) => (b2 @ Y2))))) | (!! @ $i @ (^[Y2 : $i]: ((irel @ Y1 @ Y2) => (b0 @ Y2))))))))) | (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a2 @ Y1))))) & (((~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => ((~ (!! @ $i @ (^[Y2 : $i]: ((irel @ Y1 @ Y2) => (b0 @ Y2))))) | (!! @ $i @ (^[Y2 : $i]: ((irel @ Y1 @ Y2) => (a1 @ Y2))))))))) | (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a0 @ Y1))))) & ((~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => ((~ (!! @ $i @ (^[Y2 : $i]: ((irel @ Y1 @ Y2) => (b1 @ Y2))))) | (!! @ $i @ (^[Y2 : $i]: ((irel @ Y1 @ Y2) => (a2 @ Y2))))))))) | (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a1 @ Y1))))))))))) = $true) | (((irel @ sK1 @ X1) => (((~ (!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => ((~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b1 @ Y1))))) | (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a2 @ Y1))))))))) | (!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => (a1 @ Y0))))) & (((~ (!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => ((~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b0 @ Y1))))) | (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a1 @ Y1))))))))) | (!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => (a0 @ Y0))))) & (((~ (!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => ((~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b2 @ Y1))))) | (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b0 @ Y1))))))))) | (!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => (a2 @ Y0))))) & ((~ (!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => (a0 @ Y0))))) | (!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => (f @ Y0))))))))) = $true)) )),
% 28.14/4.08 inference(beta_eta_normalization,[],[f373])).
% 28.14/4.08 thf(f373,plain,(
% 28.14/4.08 ( ! [X1 : $i] : ((((^[Y0 : $i]: ((irel @ sK1 @ Y0) => (((~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => ((~ (!! @ $i @ (^[Y2 : $i]: ((irel @ Y1 @ Y2) => (b1 @ Y2))))) | (!! @ $i @ (^[Y2 : $i]: ((irel @ Y1 @ Y2) => (a2 @ Y2))))))))) | (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a1 @ Y1))))) & (((~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => ((~ (!! @ $i @ (^[Y2 : $i]: ((irel @ Y1 @ Y2) => (b0 @ Y2))))) | (!! @ $i @ (^[Y2 : $i]: ((irel @ Y1 @ Y2) => (a1 @ Y2))))))))) | (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a0 @ Y1))))) & (((~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => ((~ (!! @ $i @ (^[Y2 : $i]: ((irel @ Y1 @ Y2) => (b2 @ Y2))))) | (!! @ $i @ (^[Y2 : $i]: ((irel @ Y1 @ Y2) => (b0 @ Y2))))))))) | (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a2 @ Y1))))) & ((~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a0 @ Y1))))) | (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (f @ Y1)))))))))) @ X1) = $true) | ((!! @ $i @ (^[Y0 : $i]: ((irel @ sK1 @ Y0) => (((~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a0 @ Y1))))) | (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (f @ Y1))))) & (((~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => ((~ (!! @ $i @ (^[Y2 : $i]: ((irel @ Y1 @ Y2) => (b2 @ Y2))))) | (!! @ $i @ (^[Y2 : $i]: ((irel @ Y1 @ Y2) => (b0 @ Y2))))))))) | (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a2 @ Y1))))) & (((~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => ((~ (!! @ $i @ (^[Y2 : $i]: ((irel @ Y1 @ Y2) => (b0 @ Y2))))) | (!! @ $i @ (^[Y2 : $i]: ((irel @ Y1 @ Y2) => (a1 @ Y2))))))))) | (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a0 @ Y1))))) & ((~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => ((~ (!! @ $i @ (^[Y2 : $i]: ((irel @ Y1 @ Y2) => (b1 @ Y2))))) | (!! @ $i @ (^[Y2 : $i]: ((irel @ Y1 @ Y2) => (a2 @ Y2))))))))) | (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a1 @ Y1))))))))))) = $true)) )),
% 28.14/4.08 inference(pi_clausification,[],[f372])).
% 28.14/4.08 thf(f372,plain,(
% 28.14/4.08 ((!! @ $i @ (^[Y0 : $i]: ((irel @ sK1 @ Y0) => (((~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => ((~ (!! @ $i @ (^[Y2 : $i]: ((irel @ Y1 @ Y2) => (b1 @ Y2))))) | (!! @ $i @ (^[Y2 : $i]: ((irel @ Y1 @ Y2) => (a2 @ Y2))))))))) | (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a1 @ Y1))))) & (((~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => ((~ (!! @ $i @ (^[Y2 : $i]: ((irel @ Y1 @ Y2) => (b0 @ Y2))))) | (!! @ $i @ (^[Y2 : $i]: ((irel @ Y1 @ Y2) => (a1 @ Y2))))))))) | (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a0 @ Y1))))) & (((~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => ((~ (!! @ $i @ (^[Y2 : $i]: ((irel @ Y1 @ Y2) => (b2 @ Y2))))) | (!! @ $i @ (^[Y2 : $i]: ((irel @ Y1 @ Y2) => (b0 @ Y2))))))))) | (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a2 @ Y1))))) & ((~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a0 @ Y1))))) | (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (f @ Y1))))))))))) = $true) | ((!! @ $i @ (^[Y0 : $i]: ((irel @ sK1 @ Y0) => (((~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a0 @ Y1))))) | (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (f @ Y1))))) & (((~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => ((~ (!! @ $i @ (^[Y2 : $i]: ((irel @ Y1 @ Y2) => (b2 @ Y2))))) | (!! @ $i @ (^[Y2 : $i]: ((irel @ Y1 @ Y2) => (b0 @ Y2))))))))) | (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a2 @ Y1))))) & (((~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => ((~ (!! @ $i @ (^[Y2 : $i]: ((irel @ Y1 @ Y2) => (b0 @ Y2))))) | (!! @ $i @ (^[Y2 : $i]: ((irel @ Y1 @ Y2) => (a1 @ Y2))))))))) | (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a0 @ Y1))))) & ((~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => ((~ (!! @ $i @ (^[Y2 : $i]: ((irel @ Y1 @ Y2) => (b1 @ Y2))))) | (!! @ $i @ (^[Y2 : $i]: ((irel @ Y1 @ Y2) => (a2 @ Y2))))))))) | (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a1 @ Y1))))))))))) = $true)),
% 28.14/4.08 inference(not_proxy_clausification,[],[f365])).
% 28.14/4.08 thf(f365,plain,(
% 28.14/4.08 ((~ (!! @ $i @ (^[Y0 : $i]: ((irel @ sK1 @ Y0) => (((~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a0 @ Y1))))) | (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (f @ Y1))))) & (((~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => ((~ (!! @ $i @ (^[Y2 : $i]: ((irel @ Y1 @ Y2) => (b2 @ Y2))))) | (!! @ $i @ (^[Y2 : $i]: ((irel @ Y1 @ Y2) => (b0 @ Y2))))))))) | (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a2 @ Y1))))) & (((~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => ((~ (!! @ $i @ (^[Y2 : $i]: ((irel @ Y1 @ Y2) => (b0 @ Y2))))) | (!! @ $i @ (^[Y2 : $i]: ((irel @ Y1 @ Y2) => (a1 @ Y2))))))))) | (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a0 @ Y1))))) & ((~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => ((~ (!! @ $i @ (^[Y2 : $i]: ((irel @ Y1 @ Y2) => (b1 @ Y2))))) | (!! @ $i @ (^[Y2 : $i]: ((irel @ Y1 @ Y2) => (a2 @ Y2))))))))) | (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a1 @ Y1)))))))))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((irel @ sK1 @ Y0) => (((~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => ((~ (!! @ $i @ (^[Y2 : $i]: ((irel @ Y1 @ Y2) => (b1 @ Y2))))) | (!! @ $i @ (^[Y2 : $i]: ((irel @ Y1 @ Y2) => (a2 @ Y2))))))))) | (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a1 @ Y1))))) & (((~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => ((~ (!! @ $i @ (^[Y2 : $i]: ((irel @ Y1 @ Y2) => (b0 @ Y2))))) | (!! @ $i @ (^[Y2 : $i]: ((irel @ Y1 @ Y2) => (a1 @ Y2))))))))) | (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a0 @ Y1))))) & (((~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => ((~ (!! @ $i @ (^[Y2 : $i]: ((irel @ Y1 @ Y2) => (b2 @ Y2))))) | (!! @ $i @ (^[Y2 : $i]: ((irel @ Y1 @ Y2) => (b0 @ Y2))))))))) | (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a2 @ Y1))))) & ((~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a0 @ Y1))))) | (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (f @ Y1))))))))))) = $true)),
% 28.14/4.08 inference(binary_proxy_clausification,[],[f363])).
% 28.14/4.08 thf(f363,plain,(
% 28.14/4.08 (((~ (!! @ $i @ (^[Y0 : $i]: ((irel @ sK1 @ Y0) => (((~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a0 @ Y1))))) | (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (f @ Y1))))) & (((~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => ((~ (!! @ $i @ (^[Y2 : $i]: ((irel @ Y1 @ Y2) => (b2 @ Y2))))) | (!! @ $i @ (^[Y2 : $i]: ((irel @ Y1 @ Y2) => (b0 @ Y2))))))))) | (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a2 @ Y1))))) & (((~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => ((~ (!! @ $i @ (^[Y2 : $i]: ((irel @ Y1 @ Y2) => (b0 @ Y2))))) | (!! @ $i @ (^[Y2 : $i]: ((irel @ Y1 @ Y2) => (a1 @ Y2))))))))) | (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a0 @ Y1))))) & ((~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => ((~ (!! @ $i @ (^[Y2 : $i]: ((irel @ Y1 @ Y2) => (b1 @ Y2))))) | (!! @ $i @ (^[Y2 : $i]: ((irel @ Y1 @ Y2) => (a2 @ Y2))))))))) | (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a1 @ Y1)))))))))))) | (!! @ $i @ (^[Y0 : $i]: ((irel @ sK1 @ Y0) => (f @ Y0))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((irel @ sK1 @ Y0) => (((~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => ((~ (!! @ $i @ (^[Y2 : $i]: ((irel @ Y1 @ Y2) => (b1 @ Y2))))) | (!! @ $i @ (^[Y2 : $i]: ((irel @ Y1 @ Y2) => (a2 @ Y2))))))))) | (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a1 @ Y1))))) & (((~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => ((~ (!! @ $i @ (^[Y2 : $i]: ((irel @ Y1 @ Y2) => (b0 @ Y2))))) | (!! @ $i @ (^[Y2 : $i]: ((irel @ Y1 @ Y2) => (a1 @ Y2))))))))) | (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a0 @ Y1))))) & (((~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => ((~ (!! @ $i @ (^[Y2 : $i]: ((irel @ Y1 @ Y2) => (b2 @ Y2))))) | (!! @ $i @ (^[Y2 : $i]: ((irel @ Y1 @ Y2) => (b0 @ Y2))))))))) | (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a2 @ Y1))))) & ((~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a0 @ Y1))))) | (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (f @ Y1))))))))))) = $true)),
% 28.14/4.08 inference(not_proxy_clausification,[],[f106])).
% 28.14/4.08 thf(f106,plain,(
% 28.14/4.08 ((~ (!! @ $i @ (^[Y0 : $i]: ((irel @ sK1 @ Y0) => (((~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => ((~ (!! @ $i @ (^[Y2 : $i]: ((irel @ Y1 @ Y2) => (b1 @ Y2))))) | (!! @ $i @ (^[Y2 : $i]: ((irel @ Y1 @ Y2) => (a2 @ Y2))))))))) | (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a1 @ Y1))))) & (((~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => ((~ (!! @ $i @ (^[Y2 : $i]: ((irel @ Y1 @ Y2) => (b0 @ Y2))))) | (!! @ $i @ (^[Y2 : $i]: ((irel @ Y1 @ Y2) => (a1 @ Y2))))))))) | (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a0 @ Y1))))) & (((~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => ((~ (!! @ $i @ (^[Y2 : $i]: ((irel @ Y1 @ Y2) => (b2 @ Y2))))) | (!! @ $i @ (^[Y2 : $i]: ((irel @ Y1 @ Y2) => (b0 @ Y2))))))))) | (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a2 @ Y1))))) & ((~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a0 @ Y1))))) | (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (f @ Y1)))))))))))) = $false) | (((~ (!! @ $i @ (^[Y0 : $i]: ((irel @ sK1 @ Y0) => (((~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a0 @ Y1))))) | (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (f @ Y1))))) & (((~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => ((~ (!! @ $i @ (^[Y2 : $i]: ((irel @ Y1 @ Y2) => (b2 @ Y2))))) | (!! @ $i @ (^[Y2 : $i]: ((irel @ Y1 @ Y2) => (b0 @ Y2))))))))) | (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a2 @ Y1))))) & (((~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => ((~ (!! @ $i @ (^[Y2 : $i]: ((irel @ Y1 @ Y2) => (b0 @ Y2))))) | (!! @ $i @ (^[Y2 : $i]: ((irel @ Y1 @ Y2) => (a1 @ Y2))))))))) | (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a0 @ Y1))))) & ((~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => ((~ (!! @ $i @ (^[Y2 : $i]: ((irel @ Y1 @ Y2) => (b1 @ Y2))))) | (!! @ $i @ (^[Y2 : $i]: ((irel @ Y1 @ Y2) => (a2 @ Y2))))))))) | (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a1 @ Y1)))))))))))) | (!! @ $i @ (^[Y0 : $i]: ((irel @ sK1 @ Y0) => (f @ Y0))))) = $false)),
% 28.14/4.08 inference(binary_proxy_clausification,[],[f104])).
% 28.14/4.08 thf(f1656,plain,(
% 28.14/4.08 spl0_9 | spl0_9),
% 28.14/4.08 inference(avatar_split_clause,[],[f1655,f200,f200])).
% 28.14/4.08 thf(f1655,plain,(
% 28.14/4.08 ( ! [X2 : $i,X3 : $i,X1 : $i,X4 : $i] : (($true = (irel @ (sK6 @ X1) @ (sK7 @ X1))) | ((irel @ sK1 @ X1) = $false) | ((a0 @ X4) = $true) | ($true = (a0 @ X3)) | ((irel @ X2 @ X4) = $false) | ((irel @ X1 @ X3) = $false) | ($true = (irel @ (sK6 @ X2) @ (sK7 @ X2))) | ((irel @ sK1 @ X2) = $false)) )),
% 28.14/4.08 inference(binary_proxy_clausification,[],[f1653])).
% 28.14/4.08 thf(f1653,plain,(
% 28.14/4.08 ( ! [X2 : $i,X3 : $i,X1 : $i,X4 : $i] : (((irel @ sK1 @ X2) = $false) | (((irel @ (sK6 @ X2) @ (sK7 @ X2)) => (a1 @ (sK7 @ X2))) = $false) | ($true = (irel @ (sK6 @ X1) @ (sK7 @ X1))) | ($true = (a0 @ X3)) | ((irel @ X1 @ X3) = $false) | ((irel @ X2 @ X4) = $false) | ((a0 @ X4) = $true) | ((irel @ sK1 @ X1) = $false)) )),
% 28.14/4.08 inference(beta_eta_normalization,[],[f1652])).
% 28.14/4.08 thf(f1652,plain,(
% 28.14/4.08 ( ! [X2 : $i,X3 : $i,X1 : $i,X4 : $i] : (((irel @ X1 @ X3) = $false) | ($true = (a0 @ X3)) | (((^[Y0 : $i]: ((irel @ (sK6 @ X2) @ Y0) => (a1 @ Y0))) @ (sK7 @ X2)) = $false) | ($true = (irel @ (sK6 @ X1) @ (sK7 @ X1))) | ((irel @ sK1 @ X2) = $false) | ((a0 @ X4) = $true) | ((irel @ sK1 @ X1) = $false) | ((irel @ X2 @ X4) = $false)) )),
% 28.14/4.08 inference(sigma_clausification,[],[f1650])).
% 28.14/4.08 thf(f1650,plain,(
% 28.14/4.08 ( ! [X2 : $i,X3 : $i,X1 : $i,X4 : $i] : (((irel @ X2 @ X4) = $false) | ($true = (irel @ (sK6 @ X1) @ (sK7 @ X1))) | ($true = (a0 @ X3)) | ((irel @ sK1 @ X1) = $false) | ((irel @ sK1 @ X2) = $false) | ((a0 @ X4) = $true) | ((!! @ $i @ (^[Y0 : $i]: ((irel @ (sK6 @ X2) @ Y0) => (a1 @ Y0)))) = $false) | ((irel @ X1 @ X3) = $false)) )),
% 28.14/4.08 inference(binary_proxy_clausification,[],[f1648])).
% 28.14/4.08 thf(f1648,plain,(
% 28.14/4.08 ( ! [X2 : $i,X3 : $i,X1 : $i,X4 : $i] : (((irel @ sK1 @ X1) = $false) | ((a0 @ X4) = $true) | ((irel @ X1 @ X3) = $false) | (((~ (!! @ $i @ (^[Y0 : $i]: ((irel @ (sK6 @ X2) @ Y0) => (b0 @ Y0))))) | (!! @ $i @ (^[Y0 : $i]: ((irel @ (sK6 @ X2) @ Y0) => (a1 @ Y0))))) = $false) | ($true = (a0 @ X3)) | ($true = (irel @ (sK6 @ X1) @ (sK7 @ X1))) | ((irel @ sK1 @ X2) = $false) | ((irel @ X2 @ X4) = $false)) )),
% 28.14/4.08 inference(binary_proxy_clausification,[],[f1647])).
% 28.14/4.08 thf(f1647,plain,(
% 28.14/4.08 ( ! [X2 : $i,X3 : $i,X1 : $i,X4 : $i] : (($true = (irel @ (sK6 @ X1) @ (sK7 @ X1))) | ((a0 @ X4) = $true) | ($true = (a0 @ X3)) | ($false = ((irel @ X2 @ (sK6 @ X2)) => ((~ (!! @ $i @ (^[Y0 : $i]: ((irel @ (sK6 @ X2) @ Y0) => (b0 @ Y0))))) | (!! @ $i @ (^[Y0 : $i]: ((irel @ (sK6 @ X2) @ Y0) => (a1 @ Y0))))))) | ((irel @ sK1 @ X1) = $false) | ((irel @ X2 @ X4) = $false) | ((irel @ sK1 @ X2) = $false) | ((irel @ X1 @ X3) = $false)) )),
% 28.14/4.08 inference(beta_eta_normalization,[],[f1646])).
% 28.14/4.08 thf(f1646,plain,(
% 28.14/4.08 ( ! [X2 : $i,X3 : $i,X1 : $i,X4 : $i] : (($true = (a0 @ X3)) | ((irel @ sK1 @ X2) = $false) | ((irel @ X1 @ X3) = $false) | ((a0 @ X4) = $true) | ($true = (irel @ (sK6 @ X1) @ (sK7 @ X1))) | (((^[Y0 : $i]: ((irel @ X2 @ Y0) => ((~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b0 @ Y1))))) | (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a1 @ Y1))))))) @ (sK6 @ X2)) = $false) | ((irel @ sK1 @ X1) = $false) | ((irel @ X2 @ X4) = $false)) )),
% 28.14/4.08 inference(sigma_clausification,[],[f1645])).
% 28.14/4.08 thf(f1645,plain,(
% 28.14/4.08 ( ! [X2 : $i,X3 : $i,X1 : $i,X4 : $i] : (((a0 @ X4) = $true) | ((irel @ sK1 @ X1) = $false) | ((irel @ X2 @ X4) = $false) | ($true = (a0 @ X3)) | ((irel @ sK1 @ X2) = $false) | ((irel @ X1 @ X3) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((irel @ X2 @ Y0) => ((~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b0 @ Y1))))) | (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a1 @ Y1)))))))) = $false) | ($true = (irel @ (sK6 @ X1) @ (sK7 @ X1)))) )),
% 28.14/4.08 inference(not_proxy_clausification,[],[f1644])).
% 28.14/4.08 thf(f1644,plain,(
% 28.14/4.08 ( ! [X2 : $i,X3 : $i,X1 : $i,X4 : $i] : (($true = (a0 @ X3)) | ($true = (irel @ (sK6 @ X1) @ (sK7 @ X1))) | ((irel @ X2 @ X4) = $false) | ((a0 @ X4) = $true) | ((irel @ sK1 @ X1) = $false) | ((irel @ X1 @ X3) = $false) | ((irel @ sK1 @ X2) = $false) | ((~ (!! @ $i @ (^[Y0 : $i]: ((irel @ X2 @ Y0) => ((~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b0 @ Y1))))) | (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a1 @ Y1))))))))) = $true)) )),
% 28.14/4.08 inference(binary_proxy_clausification,[],[f1643])).
% 28.14/4.08 thf(f1643,plain,(
% 28.14/4.08 ( ! [X2 : $i,X3 : $i,X1 : $i,X4 : $i] : ((((irel @ X2 @ X4) => (a0 @ X4)) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((irel @ X2 @ Y0) => ((~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b0 @ Y1))))) | (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a1 @ Y1))))))))) = $true) | ($true = (a0 @ X3)) | ((irel @ sK1 @ X2) = $false) | ((irel @ X1 @ X3) = $false) | ($true = (irel @ (sK6 @ X1) @ (sK7 @ X1))) | ((irel @ sK1 @ X1) = $false)) )),
% 28.14/4.08 inference(beta_eta_normalization,[],[f1642])).
% 28.14/4.08 thf(f1642,plain,(
% 28.14/4.08 ( ! [X2 : $i,X3 : $i,X1 : $i,X4 : $i] : (($true = (irel @ (sK6 @ X1) @ (sK7 @ X1))) | ((irel @ sK1 @ X2) = $false) | ((irel @ sK1 @ X1) = $false) | (((^[Y0 : $i]: ((irel @ X2 @ Y0) => (a0 @ Y0))) @ X4) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((irel @ X2 @ Y0) => ((~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b0 @ Y1))))) | (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a1 @ Y1))))))))) = $true) | ((irel @ X1 @ X3) = $false) | ($true = (a0 @ X3))) )),
% 28.14/4.08 inference(pi_clausification,[],[f1641])).
% 28.14/4.08 thf(f1641,plain,(
% 28.14/4.08 ( ! [X2 : $i,X3 : $i,X1 : $i] : (($true = (!! @ $i @ (^[Y0 : $i]: ((irel @ X2 @ Y0) => (a0 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((irel @ X2 @ Y0) => ((~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b0 @ Y1))))) | (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a1 @ Y1))))))))) = $true) | ($true = (a0 @ X3)) | ((irel @ sK1 @ X1) = $false) | ((irel @ sK1 @ X2) = $false) | ((irel @ X1 @ X3) = $false) | ($true = (irel @ (sK6 @ X1) @ (sK7 @ X1)))) )),
% 28.14/4.08 inference(binary_proxy_clausification,[],[f1617])).
% 28.14/4.08 thf(f1617,plain,(
% 28.14/4.08 ( ! [X2 : $i,X3 : $i,X1 : $i] : (((irel @ sK1 @ X2) = $false) | ($true = (irel @ (sK6 @ X1) @ (sK7 @ X1))) | ((irel @ X1 @ X3) = $false) | ($true = (a0 @ X3)) | ((irel @ sK1 @ X1) = $false) | ($true = ((~ (!! @ $i @ (^[Y0 : $i]: ((irel @ X2 @ Y0) => ((~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b0 @ Y1))))) | (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a1 @ Y1))))))))) | (!! @ $i @ (^[Y0 : $i]: ((irel @ X2 @ Y0) => (a0 @ Y0))))))) )),
% 28.14/4.08 inference(binary_proxy_clausification,[],[f1615])).
% 28.14/4.08 thf(f1615,plain,(
% 28.14/4.08 ( ! [X2 : $i,X3 : $i,X1 : $i] : (((irel @ sK1 @ X1) = $false) | ((irel @ sK1 @ X2) = $false) | ((irel @ X1 @ X3) = $false) | ((((~ (!! @ $i @ (^[Y0 : $i]: ((irel @ X2 @ Y0) => ((~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b0 @ Y1))))) | (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a1 @ Y1))))))))) | (!! @ $i @ (^[Y0 : $i]: ((irel @ X2 @ Y0) => (a0 @ Y0))))) & ((~ (!! @ $i @ (^[Y0 : $i]: ((irel @ X2 @ Y0) => ((~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b1 @ Y1))))) | (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a2 @ Y1))))))))) | (!! @ $i @ (^[Y0 : $i]: ((irel @ X2 @ Y0) => (a1 @ Y0)))))) = $true) | ($true = (a0 @ X3)) | ($true = (irel @ (sK6 @ X1) @ (sK7 @ X1)))) )),
% 28.14/4.08 inference(binary_proxy_clausification,[],[f1589])).
% 28.14/4.08 thf(f1589,plain,(
% 28.14/4.08 ( ! [X2 : $i,X3 : $i,X1 : $i] : ((((irel @ X1 @ X3) => (a0 @ X3)) = $true) | ($true = (irel @ (sK6 @ X1) @ (sK7 @ X1))) | ((((~ (!! @ $i @ (^[Y0 : $i]: ((irel @ X2 @ Y0) => ((~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b0 @ Y1))))) | (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a1 @ Y1))))))))) | (!! @ $i @ (^[Y0 : $i]: ((irel @ X2 @ Y0) => (a0 @ Y0))))) & ((~ (!! @ $i @ (^[Y0 : $i]: ((irel @ X2 @ Y0) => ((~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b1 @ Y1))))) | (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a2 @ Y1))))))))) | (!! @ $i @ (^[Y0 : $i]: ((irel @ X2 @ Y0) => (a1 @ Y0)))))) = $true) | ((irel @ sK1 @ X1) = $false) | ((irel @ sK1 @ X2) = $false)) )),
% 28.14/4.08 inference(binary_proxy_clausification,[],[f1513])).
% 28.14/4.08 thf(f1513,plain,(
% 28.14/4.08 ( ! [X2 : $i,X3 : $i,X1 : $i] : (((irel @ sK1 @ X2) = $false) | ((irel @ sK1 @ X1) = $false) | ($true = (irel @ (sK6 @ X1) @ (sK7 @ X1))) | ($true = (((~ (!! @ $i @ (^[Y0 : $i]: ((irel @ X2 @ Y0) => ((~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b2 @ Y1))))) | (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b0 @ Y1))))))))) | (!! @ $i @ (^[Y0 : $i]: ((irel @ X2 @ Y0) => (a2 @ Y0))))) & (((~ (!! @ $i @ (^[Y0 : $i]: ((irel @ X2 @ Y0) => ((~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b0 @ Y1))))) | (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a1 @ Y1))))))))) | (!! @ $i @ (^[Y0 : $i]: ((irel @ X2 @ Y0) => (a0 @ Y0))))) & ((~ (!! @ $i @ (^[Y0 : $i]: ((irel @ X2 @ Y0) => ((~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b1 @ Y1))))) | (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a2 @ Y1))))))))) | (!! @ $i @ (^[Y0 : $i]: ((irel @ X2 @ Y0) => (a1 @ Y0)))))))) | (((irel @ X1 @ X3) => (a0 @ X3)) = $true)) )),
% 28.14/4.08 inference(binary_proxy_clausification,[],[f1511])).
% 28.14/4.08 thf(f1511,plain,(
% 28.14/4.08 ( ! [X2 : $i,X3 : $i,X1 : $i] : ((((irel @ (sK6 @ X1) @ (sK7 @ X1)) => (a1 @ (sK7 @ X1))) = $false) | (((irel @ X1 @ X3) => (a0 @ X3)) = $true) | ($true = (((~ (!! @ $i @ (^[Y0 : $i]: ((irel @ X2 @ Y0) => ((~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b2 @ Y1))))) | (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b0 @ Y1))))))))) | (!! @ $i @ (^[Y0 : $i]: ((irel @ X2 @ Y0) => (a2 @ Y0))))) & (((~ (!! @ $i @ (^[Y0 : $i]: ((irel @ X2 @ Y0) => ((~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b0 @ Y1))))) | (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a1 @ Y1))))))))) | (!! @ $i @ (^[Y0 : $i]: ((irel @ X2 @ Y0) => (a0 @ Y0))))) & ((~ (!! @ $i @ (^[Y0 : $i]: ((irel @ X2 @ Y0) => ((~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b1 @ Y1))))) | (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a2 @ Y1))))))))) | (!! @ $i @ (^[Y0 : $i]: ((irel @ X2 @ Y0) => (a1 @ Y0)))))))) | ((irel @ sK1 @ X2) = $false) | ((irel @ sK1 @ X1) = $false)) )),
% 28.14/4.08 inference(beta_eta_normalization,[],[f1510])).
% 28.14/4.08 thf(f1510,plain,(
% 28.14/4.08 ( ! [X2 : $i,X3 : $i,X1 : $i] : (((irel @ sK1 @ X1) = $false) | (((irel @ X1 @ X3) => (a0 @ X3)) = $true) | (((^[Y0 : $i]: ((irel @ (sK6 @ X1) @ Y0) => (a1 @ Y0))) @ (sK7 @ X1)) = $false) | ((irel @ sK1 @ X2) = $false) | ($true = (((~ (!! @ $i @ (^[Y0 : $i]: ((irel @ X2 @ Y0) => ((~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b2 @ Y1))))) | (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b0 @ Y1))))))))) | (!! @ $i @ (^[Y0 : $i]: ((irel @ X2 @ Y0) => (a2 @ Y0))))) & (((~ (!! @ $i @ (^[Y0 : $i]: ((irel @ X2 @ Y0) => ((~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b0 @ Y1))))) | (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a1 @ Y1))))))))) | (!! @ $i @ (^[Y0 : $i]: ((irel @ X2 @ Y0) => (a0 @ Y0))))) & ((~ (!! @ $i @ (^[Y0 : $i]: ((irel @ X2 @ Y0) => ((~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b1 @ Y1))))) | (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a2 @ Y1))))))))) | (!! @ $i @ (^[Y0 : $i]: ((irel @ X2 @ Y0) => (a1 @ Y0))))))))) )),
% 28.14/4.08 inference(sigma_clausification,[],[f1509])).
% 28.14/4.08 thf(f1509,plain,(
% 28.14/4.08 ( ! [X2 : $i,X3 : $i,X1 : $i] : (((irel @ sK1 @ X2) = $false) | ((irel @ sK1 @ X1) = $false) | ($false = (!! @ $i @ (^[Y0 : $i]: ((irel @ (sK6 @ X1) @ Y0) => (a1 @ Y0))))) | ($true = (((~ (!! @ $i @ (^[Y0 : $i]: ((irel @ X2 @ Y0) => ((~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b2 @ Y1))))) | (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b0 @ Y1))))))))) | (!! @ $i @ (^[Y0 : $i]: ((irel @ X2 @ Y0) => (a2 @ Y0))))) & (((~ (!! @ $i @ (^[Y0 : $i]: ((irel @ X2 @ Y0) => ((~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b0 @ Y1))))) | (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a1 @ Y1))))))))) | (!! @ $i @ (^[Y0 : $i]: ((irel @ X2 @ Y0) => (a0 @ Y0))))) & ((~ (!! @ $i @ (^[Y0 : $i]: ((irel @ X2 @ Y0) => ((~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b1 @ Y1))))) | (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a2 @ Y1))))))))) | (!! @ $i @ (^[Y0 : $i]: ((irel @ X2 @ Y0) => (a1 @ Y0)))))))) | (((irel @ X1 @ X3) => (a0 @ X3)) = $true)) )),
% 28.14/4.08 inference(beta_eta_normalization,[],[f1508])).
% 28.14/4.08 thf(f1508,plain,(
% 28.14/4.08 ( ! [X2 : $i,X3 : $i,X1 : $i] : (($false = (!! @ $i @ (^[Y0 : $i]: ((irel @ (sK6 @ X1) @ Y0) => (a1 @ Y0))))) | ((irel @ sK1 @ X1) = $false) | ($true = (((~ (!! @ $i @ (^[Y0 : $i]: ((irel @ X2 @ Y0) => ((~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b2 @ Y1))))) | (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b0 @ Y1))))))))) | (!! @ $i @ (^[Y0 : $i]: ((irel @ X2 @ Y0) => (a2 @ Y0))))) & (((~ (!! @ $i @ (^[Y0 : $i]: ((irel @ X2 @ Y0) => ((~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b0 @ Y1))))) | (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a1 @ Y1))))))))) | (!! @ $i @ (^[Y0 : $i]: ((irel @ X2 @ Y0) => (a0 @ Y0))))) & ((~ (!! @ $i @ (^[Y0 : $i]: ((irel @ X2 @ Y0) => ((~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b1 @ Y1))))) | (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a2 @ Y1))))))))) | (!! @ $i @ (^[Y0 : $i]: ((irel @ X2 @ Y0) => (a1 @ Y0)))))))) | (((^[Y0 : $i]: ((irel @ X1 @ Y0) => (a0 @ Y0))) @ X3) = $true) | ((irel @ sK1 @ X2) = $false)) )),
% 28.14/4.08 inference(pi_clausification,[],[f1506])).
% 28.14/4.08 thf(f1506,plain,(
% 28.14/4.08 ( ! [X2 : $i,X1 : $i] : (((irel @ sK1 @ X2) = $false) | ((irel @ sK1 @ X1) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => (a0 @ Y0)))) = $true) | ($true = (((~ (!! @ $i @ (^[Y0 : $i]: ((irel @ X2 @ Y0) => ((~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b2 @ Y1))))) | (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b0 @ Y1))))))))) | (!! @ $i @ (^[Y0 : $i]: ((irel @ X2 @ Y0) => (a2 @ Y0))))) & (((~ (!! @ $i @ (^[Y0 : $i]: ((irel @ X2 @ Y0) => ((~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b0 @ Y1))))) | (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a1 @ Y1))))))))) | (!! @ $i @ (^[Y0 : $i]: ((irel @ X2 @ Y0) => (a0 @ Y0))))) & ((~ (!! @ $i @ (^[Y0 : $i]: ((irel @ X2 @ Y0) => ((~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b1 @ Y1))))) | (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a2 @ Y1))))))))) | (!! @ $i @ (^[Y0 : $i]: ((irel @ X2 @ Y0) => (a1 @ Y0)))))))) | ($false = (!! @ $i @ (^[Y0 : $i]: ((irel @ (sK6 @ X1) @ Y0) => (a1 @ Y0)))))) )),
% 28.14/4.08 inference(binary_proxy_clausification,[],[f1412])).
% 28.14/4.08 thf(f1541,plain,(
% 28.14/4.08 spl0_10 | spl0_10),
% 28.14/4.08 inference(avatar_split_clause,[],[f1538,f204,f204])).
% 28.14/4.08 thf(f1538,plain,(
% 28.14/4.08 ( ! [X2 : $i,X3 : $i,X1 : $i,X4 : $i] : (((irel @ X1 @ X3) = $false) | ((a1 @ (sK7 @ X1)) = $false) | ((irel @ X2 @ X4) = $false) | ((a0 @ X4) = $true) | ($true = (a0 @ X3)) | ((a1 @ (sK7 @ X2)) = $false) | ((irel @ sK1 @ X1) = $false) | ((irel @ sK1 @ X2) = $false)) )),
% 28.14/4.08 inference(binary_proxy_clausification,[],[f1537])).
% 28.14/4.08 thf(f1537,plain,(
% 28.14/4.08 ( ! [X2 : $i,X3 : $i,X1 : $i,X4 : $i] : ((((irel @ (sK6 @ X2) @ (sK7 @ X2)) => (a1 @ (sK7 @ X2))) = $false) | ($true = (a0 @ X3)) | ((a0 @ X4) = $true) | ((irel @ X2 @ X4) = $false) | ((irel @ X1 @ X3) = $false) | ((a1 @ (sK7 @ X1)) = $false) | ((irel @ sK1 @ X1) = $false) | ((irel @ sK1 @ X2) = $false)) )),
% 28.14/4.08 inference(beta_eta_normalization,[],[f1536])).
% 28.14/4.08 thf(f1536,plain,(
% 28.14/4.08 ( ! [X2 : $i,X3 : $i,X1 : $i,X4 : $i] : (($true = (a0 @ X3)) | ((irel @ sK1 @ X1) = $false) | ((a1 @ (sK7 @ X1)) = $false) | ((a0 @ X4) = $true) | ((irel @ sK1 @ X2) = $false) | (((^[Y0 : $i]: ((irel @ (sK6 @ X2) @ Y0) => (a1 @ Y0))) @ (sK7 @ X2)) = $false) | ((irel @ X1 @ X3) = $false) | ((irel @ X2 @ X4) = $false)) )),
% 28.14/4.08 inference(sigma_clausification,[],[f1529])).
% 28.14/4.08 thf(f1529,plain,(
% 28.14/4.08 ( ! [X2 : $i,X3 : $i,X1 : $i,X4 : $i] : (((irel @ sK1 @ X1) = $false) | ((irel @ X2 @ X4) = $false) | ((a0 @ X4) = $true) | ((irel @ sK1 @ X2) = $false) | ((a1 @ (sK7 @ X1)) = $false) | ((irel @ X1 @ X3) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((irel @ (sK6 @ X2) @ Y0) => (a1 @ Y0)))) = $false) | ($true = (a0 @ X3))) )),
% 28.14/4.08 inference(binary_proxy_clausification,[],[f1526])).
% 28.14/4.08 thf(f1526,plain,(
% 28.14/4.08 ( ! [X2 : $i,X3 : $i,X1 : $i,X4 : $i] : (((irel @ sK1 @ X2) = $false) | ((a1 @ (sK7 @ X1)) = $false) | ((irel @ sK1 @ X1) = $false) | (((~ (!! @ $i @ (^[Y0 : $i]: ((irel @ (sK6 @ X2) @ Y0) => (b0 @ Y0))))) | (!! @ $i @ (^[Y0 : $i]: ((irel @ (sK6 @ X2) @ Y0) => (a1 @ Y0))))) = $false) | ((irel @ X1 @ X3) = $false) | ((a0 @ X4) = $true) | ($true = (a0 @ X3)) | ((irel @ X2 @ X4) = $false)) )),
% 28.14/4.08 inference(binary_proxy_clausification,[],[f1525])).
% 28.14/4.08 thf(f1525,plain,(
% 28.14/4.08 ( ! [X2 : $i,X3 : $i,X1 : $i,X4 : $i] : (($false = ((irel @ X2 @ (sK6 @ X2)) => ((~ (!! @ $i @ (^[Y0 : $i]: ((irel @ (sK6 @ X2) @ Y0) => (b0 @ Y0))))) | (!! @ $i @ (^[Y0 : $i]: ((irel @ (sK6 @ X2) @ Y0) => (a1 @ Y0))))))) | ((a0 @ X4) = $true) | ((irel @ X2 @ X4) = $false) | ((irel @ sK1 @ X1) = $false) | ((a1 @ (sK7 @ X1)) = $false) | ((irel @ sK1 @ X2) = $false) | ((irel @ X1 @ X3) = $false) | ($true = (a0 @ X3))) )),
% 28.14/4.08 inference(binary_proxy_clausification,[],[f1524])).
% 28.14/4.08 thf(f1524,plain,(
% 28.14/4.08 ( ! [X2 : $i,X3 : $i,X1 : $i,X4 : $i] : (((irel @ X1 @ X3) = $false) | (((irel @ X2 @ X4) => (a0 @ X4)) = $true) | ((a1 @ (sK7 @ X1)) = $false) | ((irel @ sK1 @ X2) = $false) | ($false = ((irel @ X2 @ (sK6 @ X2)) => ((~ (!! @ $i @ (^[Y0 : $i]: ((irel @ (sK6 @ X2) @ Y0) => (b0 @ Y0))))) | (!! @ $i @ (^[Y0 : $i]: ((irel @ (sK6 @ X2) @ Y0) => (a1 @ Y0))))))) | ($true = (a0 @ X3)) | ((irel @ sK1 @ X1) = $false)) )),
% 28.14/4.08 inference(beta_eta_normalization,[],[f1523])).
% 28.14/4.08 thf(f1523,plain,(
% 28.14/4.08 ( ! [X2 : $i,X3 : $i,X1 : $i,X4 : $i] : ((((^[Y0 : $i]: ((irel @ X2 @ Y0) => (a0 @ Y0))) @ X4) = $true) | ((a1 @ (sK7 @ X1)) = $false) | ($false = ((irel @ X2 @ (sK6 @ X2)) => ((~ (!! @ $i @ (^[Y0 : $i]: ((irel @ (sK6 @ X2) @ Y0) => (b0 @ Y0))))) | (!! @ $i @ (^[Y0 : $i]: ((irel @ (sK6 @ X2) @ Y0) => (a1 @ Y0))))))) | ((irel @ sK1 @ X2) = $false) | ($true = (a0 @ X3)) | ((irel @ X1 @ X3) = $false) | ((irel @ sK1 @ X1) = $false)) )),
% 28.14/4.08 inference(pi_clausification,[],[f1522])).
% 28.14/4.08 thf(f1522,plain,(
% 28.14/4.08 ( ! [X2 : $i,X3 : $i,X1 : $i] : (((irel @ sK1 @ X2) = $false) | ((a1 @ (sK7 @ X1)) = $false) | ($true = (!! @ $i @ (^[Y0 : $i]: ((irel @ X2 @ Y0) => (a0 @ Y0))))) | ($false = ((irel @ X2 @ (sK6 @ X2)) => ((~ (!! @ $i @ (^[Y0 : $i]: ((irel @ (sK6 @ X2) @ Y0) => (b0 @ Y0))))) | (!! @ $i @ (^[Y0 : $i]: ((irel @ (sK6 @ X2) @ Y0) => (a1 @ Y0))))))) | ((irel @ X1 @ X3) = $false) | ((irel @ sK1 @ X1) = $false) | ($true = (a0 @ X3))) )),
% 28.14/4.08 inference(beta_eta_normalization,[],[f1521])).
% 28.14/4.08 thf(f1521,plain,(
% 28.14/4.08 ( ! [X2 : $i,X3 : $i,X1 : $i] : (((irel @ sK1 @ X1) = $false) | ((irel @ sK1 @ X2) = $false) | (((^[Y0 : $i]: ((irel @ X2 @ Y0) => ((~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b0 @ Y1))))) | (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a1 @ Y1))))))) @ (sK6 @ X2)) = $false) | ($true = (!! @ $i @ (^[Y0 : $i]: ((irel @ X2 @ Y0) => (a0 @ Y0))))) | ((irel @ X1 @ X3) = $false) | ($true = (a0 @ X3)) | ((a1 @ (sK7 @ X1)) = $false)) )),
% 28.14/4.08 inference(sigma_clausification,[],[f1520])).
% 28.14/4.08 thf(f1520,plain,(
% 28.14/4.08 ( ! [X2 : $i,X3 : $i,X1 : $i] : (((irel @ sK1 @ X1) = $false) | ((a1 @ (sK7 @ X1)) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((irel @ X2 @ Y0) => ((~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b0 @ Y1))))) | (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a1 @ Y1)))))))) = $false) | ((irel @ sK1 @ X2) = $false) | ($true = (!! @ $i @ (^[Y0 : $i]: ((irel @ X2 @ Y0) => (a0 @ Y0))))) | ($true = (a0 @ X3)) | ((irel @ X1 @ X3) = $false)) )),
% 28.14/4.08 inference(not_proxy_clausification,[],[f1519])).
% 28.14/4.08 thf(f1519,plain,(
% 28.14/4.08 ( ! [X2 : $i,X3 : $i,X1 : $i] : (((irel @ X1 @ X3) = $false) | ((~ (!! @ $i @ (^[Y0 : $i]: ((irel @ X2 @ Y0) => ((~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b0 @ Y1))))) | (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a1 @ Y1))))))))) = $true) | ($true = (a0 @ X3)) | ($true = (!! @ $i @ (^[Y0 : $i]: ((irel @ X2 @ Y0) => (a0 @ Y0))))) | ((irel @ sK1 @ X2) = $false) | ((irel @ sK1 @ X1) = $false) | ((a1 @ (sK7 @ X1)) = $false)) )),
% 28.14/4.08 inference(binary_proxy_clausification,[],[f1518])).
% 28.14/4.08 thf(f1518,plain,(
% 28.14/4.08 ( ! [X2 : $i,X3 : $i,X1 : $i] : (((irel @ sK1 @ X2) = $false) | ((irel @ sK1 @ X1) = $false) | ($true = (a0 @ X3)) | ((irel @ X1 @ X3) = $false) | ($true = ((~ (!! @ $i @ (^[Y0 : $i]: ((irel @ X2 @ Y0) => ((~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b0 @ Y1))))) | (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a1 @ Y1))))))))) | (!! @ $i @ (^[Y0 : $i]: ((irel @ X2 @ Y0) => (a0 @ Y0)))))) | ((a1 @ (sK7 @ X1)) = $false)) )),
% 28.14/4.08 inference(binary_proxy_clausification,[],[f1515])).
% 28.14/4.08 thf(f1515,plain,(
% 28.14/4.08 ( ! [X2 : $i,X3 : $i,X1 : $i] : (((irel @ X1 @ X3) = $false) | ((irel @ sK1 @ X2) = $false) | ((((~ (!! @ $i @ (^[Y0 : $i]: ((irel @ X2 @ Y0) => ((~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b0 @ Y1))))) | (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a1 @ Y1))))))))) | (!! @ $i @ (^[Y0 : $i]: ((irel @ X2 @ Y0) => (a0 @ Y0))))) & ((~ (!! @ $i @ (^[Y0 : $i]: ((irel @ X2 @ Y0) => ((~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b1 @ Y1))))) | (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a2 @ Y1))))))))) | (!! @ $i @ (^[Y0 : $i]: ((irel @ X2 @ Y0) => (a1 @ Y0)))))) = $true) | ($true = (a0 @ X3)) | ((a1 @ (sK7 @ X1)) = $false) | ((irel @ sK1 @ X1) = $false)) )),
% 28.14/4.08 inference(binary_proxy_clausification,[],[f1514])).
% 28.14/4.08 thf(f1514,plain,(
% 28.14/4.08 ( ! [X2 : $i,X3 : $i,X1 : $i] : (((irel @ sK1 @ X1) = $false) | ($true = (a0 @ X3)) | ((irel @ sK1 @ X2) = $false) | ((irel @ X1 @ X3) = $false) | ($true = (((~ (!! @ $i @ (^[Y0 : $i]: ((irel @ X2 @ Y0) => ((~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b2 @ Y1))))) | (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b0 @ Y1))))))))) | (!! @ $i @ (^[Y0 : $i]: ((irel @ X2 @ Y0) => (a2 @ Y0))))) & (((~ (!! @ $i @ (^[Y0 : $i]: ((irel @ X2 @ Y0) => ((~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b0 @ Y1))))) | (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a1 @ Y1))))))))) | (!! @ $i @ (^[Y0 : $i]: ((irel @ X2 @ Y0) => (a0 @ Y0))))) & ((~ (!! @ $i @ (^[Y0 : $i]: ((irel @ X2 @ Y0) => ((~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b1 @ Y1))))) | (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a2 @ Y1))))))))) | (!! @ $i @ (^[Y0 : $i]: ((irel @ X2 @ Y0) => (a1 @ Y0)))))))) | ((a1 @ (sK7 @ X1)) = $false)) )),
% 28.14/4.08 inference(binary_proxy_clausification,[],[f1512])).
% 28.14/4.08 thf(f1512,plain,(
% 28.14/4.08 ( ! [X2 : $i,X3 : $i,X1 : $i] : (((a1 @ (sK7 @ X1)) = $false) | (((irel @ X1 @ X3) => (a0 @ X3)) = $true) | ((irel @ sK1 @ X2) = $false) | ($true = (((~ (!! @ $i @ (^[Y0 : $i]: ((irel @ X2 @ Y0) => ((~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b2 @ Y1))))) | (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b0 @ Y1))))))))) | (!! @ $i @ (^[Y0 : $i]: ((irel @ X2 @ Y0) => (a2 @ Y0))))) & (((~ (!! @ $i @ (^[Y0 : $i]: ((irel @ X2 @ Y0) => ((~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b0 @ Y1))))) | (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a1 @ Y1))))))))) | (!! @ $i @ (^[Y0 : $i]: ((irel @ X2 @ Y0) => (a0 @ Y0))))) & ((~ (!! @ $i @ (^[Y0 : $i]: ((irel @ X2 @ Y0) => ((~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b1 @ Y1))))) | (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a2 @ Y1))))))))) | (!! @ $i @ (^[Y0 : $i]: ((irel @ X2 @ Y0) => (a1 @ Y0)))))))) | ((irel @ sK1 @ X1) = $false)) )),
% 28.14/4.08 inference(binary_proxy_clausification,[],[f1511])).
% 28.14/4.08 thf(f1505,plain,(
% 28.14/4.08 spl0_8 | spl0_8),
% 28.14/4.08 inference(avatar_split_clause,[],[f1504,f189,f189])).
% 28.14/4.08 thf(f1504,plain,(
% 28.14/4.08 ( ! [X2 : $i,X3 : $i,X1 : $i,X4 : $i] : (((irel @ X1 @ X3) = $false) | ((irel @ sK1 @ X2) = $false) | ((irel @ X1 @ (sK6 @ X1)) = $true) | ($true = (a0 @ X3)) | ((irel @ X2 @ X4) = $false) | ((irel @ X2 @ (sK6 @ X2)) = $true) | ((a0 @ X4) = $true) | ((irel @ sK1 @ X1) = $false)) )),
% 28.14/4.08 inference(binary_proxy_clausification,[],[f1488])).
% 28.14/4.08 thf(f1488,plain,(
% 28.14/4.08 ( ! [X2 : $i,X3 : $i,X1 : $i,X4 : $i] : (((irel @ X2 @ (sK6 @ X2)) = $true) | ($true = (a0 @ X3)) | ((irel @ sK1 @ X1) = $false) | ((irel @ sK1 @ X2) = $false) | ((irel @ X1 @ X3) = $false) | (((irel @ X2 @ X4) => (a0 @ X4)) = $true) | ((irel @ X1 @ (sK6 @ X1)) = $true)) )),
% 28.14/4.08 inference(binary_proxy_clausification,[],[f1486])).
% 28.14/4.08 thf(f1486,plain,(
% 28.14/4.08 ( ! [X2 : $i,X3 : $i,X1 : $i,X4 : $i] : (((irel @ sK1 @ X2) = $false) | ((irel @ X1 @ X3) = $false) | ($false = ((irel @ X2 @ (sK6 @ X2)) => ((~ (!! @ $i @ (^[Y0 : $i]: ((irel @ (sK6 @ X2) @ Y0) => (b0 @ Y0))))) | (!! @ $i @ (^[Y0 : $i]: ((irel @ (sK6 @ X2) @ Y0) => (a1 @ Y0))))))) | ((irel @ X1 @ (sK6 @ X1)) = $true) | ((irel @ sK1 @ X1) = $false) | (((irel @ X2 @ X4) => (a0 @ X4)) = $true) | ($true = (a0 @ X3))) )),
% 28.14/4.08 inference(binary_proxy_clausification,[],[f1485])).
% 28.14/4.08 thf(f1485,plain,(
% 28.14/4.08 ( ! [X2 : $i,X3 : $i,X1 : $i,X4 : $i] : (((irel @ sK1 @ X1) = $false) | ((irel @ sK1 @ X2) = $false) | ((irel @ X1 @ (sK6 @ X1)) = $true) | (((irel @ X1 @ X3) => (a0 @ X3)) = $true) | (((irel @ X2 @ X4) => (a0 @ X4)) = $true) | ($false = ((irel @ X2 @ (sK6 @ X2)) => ((~ (!! @ $i @ (^[Y0 : $i]: ((irel @ (sK6 @ X2) @ Y0) => (b0 @ Y0))))) | (!! @ $i @ (^[Y0 : $i]: ((irel @ (sK6 @ X2) @ Y0) => (a1 @ Y0)))))))) )),
% 28.14/4.08 inference(beta_eta_normalization,[],[f1484])).
% 28.14/4.08 thf(f1484,plain,(
% 28.14/4.08 ( ! [X2 : $i,X3 : $i,X1 : $i,X4 : $i] : (((irel @ sK1 @ X1) = $false) | ((irel @ X1 @ (sK6 @ X1)) = $true) | ((irel @ sK1 @ X2) = $false) | (((irel @ X2 @ X4) => (a0 @ X4)) = $true) | (((^[Y0 : $i]: ((irel @ X2 @ Y0) => ((~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b0 @ Y1))))) | (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a1 @ Y1))))))) @ (sK6 @ X2)) = $false) | (((irel @ X1 @ X3) => (a0 @ X3)) = $true)) )),
% 28.14/4.08 inference(sigma_clausification,[],[f1483])).
% 28.14/4.08 thf(f1483,plain,(
% 28.14/4.08 ( ! [X2 : $i,X3 : $i,X1 : $i,X4 : $i] : (((!! @ $i @ (^[Y0 : $i]: ((irel @ X2 @ Y0) => ((~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b0 @ Y1))))) | (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a1 @ Y1)))))))) = $false) | (((irel @ X1 @ X3) => (a0 @ X3)) = $true) | ((irel @ sK1 @ X1) = $false) | ((irel @ sK1 @ X2) = $false) | (((irel @ X2 @ X4) => (a0 @ X4)) = $true) | ((irel @ X1 @ (sK6 @ X1)) = $true)) )),
% 28.14/4.08 inference(beta_eta_normalization,[],[f1482])).
% 28.14/4.08 thf(f1482,plain,(
% 28.14/4.08 ( ! [X2 : $i,X3 : $i,X1 : $i,X4 : $i] : ((((irel @ X1 @ X3) => (a0 @ X3)) = $true) | ((irel @ sK1 @ X1) = $false) | ((irel @ sK1 @ X2) = $false) | ((irel @ X1 @ (sK6 @ X1)) = $true) | ((!! @ $i @ (^[Y0 : $i]: ((irel @ X2 @ Y0) => ((~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b0 @ Y1))))) | (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a1 @ Y1)))))))) = $false) | (((^[Y0 : $i]: ((irel @ X2 @ Y0) => (a0 @ Y0))) @ X4) = $true)) )),
% 28.14/4.08 inference(pi_clausification,[],[f1481])).
% 28.14/4.08 thf(f1481,plain,(
% 28.14/4.08 ( ! [X2 : $i,X3 : $i,X1 : $i] : (($true = (!! @ $i @ (^[Y0 : $i]: ((irel @ X2 @ Y0) => (a0 @ Y0))))) | ((irel @ sK1 @ X2) = $false) | (((irel @ X1 @ X3) => (a0 @ X3)) = $true) | ((!! @ $i @ (^[Y0 : $i]: ((irel @ X2 @ Y0) => ((~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b0 @ Y1))))) | (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a1 @ Y1)))))))) = $false) | ((irel @ sK1 @ X1) = $false) | ((irel @ X1 @ (sK6 @ X1)) = $true)) )),
% 28.14/4.08 inference(not_proxy_clausification,[],[f1480])).
% 28.14/4.08 thf(f1480,plain,(
% 28.14/4.08 ( ! [X2 : $i,X3 : $i,X1 : $i] : (((irel @ sK1 @ X1) = $false) | ((irel @ X1 @ (sK6 @ X1)) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((irel @ X2 @ Y0) => ((~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b0 @ Y1))))) | (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a1 @ Y1))))))))) = $true) | ((irel @ sK1 @ X2) = $false) | ($true = (!! @ $i @ (^[Y0 : $i]: ((irel @ X2 @ Y0) => (a0 @ Y0))))) | (((irel @ X1 @ X3) => (a0 @ X3)) = $true)) )),
% 28.14/4.08 inference(binary_proxy_clausification,[],[f1479])).
% 28.14/4.08 thf(f1479,plain,(
% 28.14/4.08 ( ! [X2 : $i,X3 : $i,X1 : $i] : (((irel @ sK1 @ X1) = $false) | ($true = ((~ (!! @ $i @ (^[Y0 : $i]: ((irel @ X2 @ Y0) => ((~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b0 @ Y1))))) | (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a1 @ Y1))))))))) | (!! @ $i @ (^[Y0 : $i]: ((irel @ X2 @ Y0) => (a0 @ Y0)))))) | (((irel @ X1 @ X3) => (a0 @ X3)) = $true) | ((irel @ X1 @ (sK6 @ X1)) = $true) | ((irel @ sK1 @ X2) = $false)) )),
% 28.14/4.08 inference(beta_eta_normalization,[],[f1478])).
% 28.14/4.08 thf(f1478,plain,(
% 28.14/4.08 ( ! [X2 : $i,X3 : $i,X1 : $i] : (((irel @ sK1 @ X1) = $false) | ((irel @ X1 @ (sK6 @ X1)) = $true) | ($true = ((~ (!! @ $i @ (^[Y0 : $i]: ((irel @ X2 @ Y0) => ((~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b0 @ Y1))))) | (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a1 @ Y1))))))))) | (!! @ $i @ (^[Y0 : $i]: ((irel @ X2 @ Y0) => (a0 @ Y0)))))) | (((^[Y0 : $i]: ((irel @ X1 @ Y0) => (a0 @ Y0))) @ X3) = $true) | ((irel @ sK1 @ X2) = $false)) )),
% 28.14/4.08 inference(pi_clausification,[],[f1443])).
% 28.14/4.08 thf(f1443,plain,(
% 28.14/4.08 ( ! [X2 : $i,X1 : $i] : (((!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => (a0 @ Y0)))) = $true) | ((irel @ X1 @ (sK6 @ X1)) = $true) | ((irel @ sK1 @ X1) = $false) | ((irel @ sK1 @ X2) = $false) | ($true = ((~ (!! @ $i @ (^[Y0 : $i]: ((irel @ X2 @ Y0) => ((~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b0 @ Y1))))) | (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a1 @ Y1))))))))) | (!! @ $i @ (^[Y0 : $i]: ((irel @ X2 @ Y0) => (a0 @ Y0))))))) )),
% 28.14/4.08 inference(binary_proxy_clausification,[],[f1414])).
% 28.14/4.08 thf(f1414,plain,(
% 28.14/4.08 ( ! [X2 : $i,X1 : $i] : (((irel @ sK1 @ X1) = $false) | ((irel @ sK1 @ X2) = $false) | ((((~ (!! @ $i @ (^[Y0 : $i]: ((irel @ X2 @ Y0) => ((~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b0 @ Y1))))) | (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a1 @ Y1))))))))) | (!! @ $i @ (^[Y0 : $i]: ((irel @ X2 @ Y0) => (a0 @ Y0))))) & ((~ (!! @ $i @ (^[Y0 : $i]: ((irel @ X2 @ Y0) => ((~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b1 @ Y1))))) | (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a2 @ Y1))))))))) | (!! @ $i @ (^[Y0 : $i]: ((irel @ X2 @ Y0) => (a1 @ Y0)))))) = $true) | ((irel @ X1 @ (sK6 @ X1)) = $true) | ((!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => (a0 @ Y0)))) = $true)) )),
% 28.14/4.08 inference(binary_proxy_clausification,[],[f1413])).
% 28.14/4.08 thf(f1413,plain,(
% 28.14/4.08 ( ! [X2 : $i,X1 : $i] : (($true = (((~ (!! @ $i @ (^[Y0 : $i]: ((irel @ X2 @ Y0) => ((~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b2 @ Y1))))) | (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b0 @ Y1))))))))) | (!! @ $i @ (^[Y0 : $i]: ((irel @ X2 @ Y0) => (a2 @ Y0))))) & (((~ (!! @ $i @ (^[Y0 : $i]: ((irel @ X2 @ Y0) => ((~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b0 @ Y1))))) | (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a1 @ Y1))))))))) | (!! @ $i @ (^[Y0 : $i]: ((irel @ X2 @ Y0) => (a0 @ Y0))))) & ((~ (!! @ $i @ (^[Y0 : $i]: ((irel @ X2 @ Y0) => ((~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b1 @ Y1))))) | (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a2 @ Y1))))))))) | (!! @ $i @ (^[Y0 : $i]: ((irel @ X2 @ Y0) => (a1 @ Y0)))))))) | ((!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => (a0 @ Y0)))) = $true) | ((irel @ sK1 @ X1) = $false) | ((irel @ sK1 @ X2) = $false) | ((irel @ X1 @ (sK6 @ X1)) = $true)) )),
% 28.14/4.08 inference(binary_proxy_clausification,[],[f1411])).
% 28.14/4.08 thf(f1354,plain,(
% 28.14/4.08 spl0_4 | spl0_4),
% 28.14/4.08 inference(avatar_split_clause,[],[f1340,f152,f152])).
% 28.14/4.08 thf(f1340,plain,(
% 28.14/4.08 ( ! [X2 : $i,X3 : $i,X1 : $i,X4 : $i] : (($true = (a2 @ X3)) | ((irel @ X2 @ X3) = $false) | ((a2 @ X4) = $true) | ((irel @ X1 @ X4) = $false) | ((irel @ X1 @ (sK4 @ X1)) = $true) | ((irel @ sK1 @ X2) = $false) | ((irel @ X2 @ (sK4 @ X2)) = $true) | ((irel @ sK1 @ X1) = $false)) )),
% 28.14/4.08 inference(binary_proxy_clausification,[],[f1338])).
% 28.14/4.08 thf(f1338,plain,(
% 28.14/4.08 ( ! [X2 : $i,X3 : $i,X1 : $i,X4 : $i] : (((irel @ X2 @ (sK4 @ X2)) = $true) | (((irel @ X1 @ (sK4 @ X1)) => ((~ (!! @ $i @ (^[Y0 : $i]: ((irel @ (sK4 @ X1) @ Y0) => (b2 @ Y0))))) | (!! @ $i @ (^[Y0 : $i]: ((irel @ (sK4 @ X1) @ Y0) => (b0 @ Y0)))))) = $false) | ((irel @ sK1 @ X1) = $false) | ((irel @ X2 @ X3) = $false) | ((irel @ sK1 @ X2) = $false) | ((irel @ X1 @ X4) = $false) | ($true = (a2 @ X3)) | ((a2 @ X4) = $true)) )),
% 28.14/4.08 inference(beta_eta_normalization,[],[f1337])).
% 28.14/4.08 thf(f1337,plain,(
% 28.14/4.08 ( ! [X2 : $i,X3 : $i,X1 : $i,X4 : $i] : (((irel @ sK1 @ X2) = $false) | ($true = (a2 @ X3)) | ((irel @ X2 @ X3) = $false) | ((a2 @ X4) = $true) | (((^[Y0 : $i]: ((irel @ X1 @ Y0) => ((~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b2 @ Y1))))) | (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b0 @ Y1))))))) @ (sK4 @ X1)) = $false) | ((irel @ X2 @ (sK4 @ X2)) = $true) | ((irel @ sK1 @ X1) = $false) | ((irel @ X1 @ X4) = $false)) )),
% 28.14/4.08 inference(sigma_clausification,[],[f1336])).
% 28.14/4.08 thf(f1336,plain,(
% 28.14/4.08 ( ! [X2 : $i,X3 : $i,X1 : $i,X4 : $i] : (((irel @ sK1 @ X1) = $false) | ($true = (a2 @ X3)) | ((irel @ sK1 @ X2) = $false) | ((irel @ X1 @ X4) = $false) | ((a2 @ X4) = $true) | ((irel @ X2 @ (sK4 @ X2)) = $true) | ((!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => ((~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b2 @ Y1))))) | (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b0 @ Y1)))))))) = $false) | ((irel @ X2 @ X3) = $false)) )),
% 28.14/4.08 inference(binary_proxy_clausification,[],[f1335])).
% 28.14/4.08 thf(f1335,plain,(
% 28.14/4.08 ( ! [X2 : $i,X3 : $i,X1 : $i,X4 : $i] : (($true = (a2 @ X3)) | ((irel @ sK1 @ X1) = $false) | ((irel @ X2 @ (sK4 @ X2)) = $true) | ($true = ((irel @ X1 @ X4) => (a2 @ X4))) | ((!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => ((~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b2 @ Y1))))) | (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b0 @ Y1)))))))) = $false) | ((irel @ X2 @ X3) = $false) | ((irel @ sK1 @ X2) = $false)) )),
% 28.14/4.08 inference(not_proxy_clausification,[],[f1261])).
% 28.14/4.08 thf(f1261,plain,(
% 28.14/4.08 ( ! [X2 : $i,X3 : $i,X1 : $i,X4 : $i] : (($true = (a2 @ X3)) | ((irel @ sK1 @ X1) = $false) | ((~ (!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => ((~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b2 @ Y1))))) | (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b0 @ Y1))))))))) = $true) | ((irel @ X2 @ (sK4 @ X2)) = $true) | ((irel @ X2 @ X3) = $false) | ($true = ((irel @ X1 @ X4) => (a2 @ X4))) | ((irel @ sK1 @ X2) = $false)) )),
% 28.14/4.08 inference(binary_proxy_clausification,[],[f1259])).
% 28.14/4.08 thf(f1259,plain,(
% 28.14/4.08 ( ! [X2 : $i,X3 : $i,X1 : $i,X4 : $i] : ((((irel @ X2 @ (sK4 @ X2)) => ((~ (!! @ $i @ (^[Y0 : $i]: ((irel @ (sK4 @ X2) @ Y0) => (b2 @ Y0))))) | (!! @ $i @ (^[Y0 : $i]: ((irel @ (sK4 @ X2) @ Y0) => (b0 @ Y0)))))) = $false) | ((irel @ sK1 @ X1) = $false) | ($true = (a2 @ X3)) | ((irel @ sK1 @ X2) = $false) | ((~ (!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => ((~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b2 @ Y1))))) | (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b0 @ Y1))))))))) = $true) | ($true = ((irel @ X1 @ X4) => (a2 @ X4))) | ((irel @ X2 @ X3) = $false)) )),
% 28.14/4.08 inference(beta_eta_normalization,[],[f1258])).
% 28.14/4.08 thf(f1258,plain,(
% 28.14/4.08 ( ! [X2 : $i,X3 : $i,X1 : $i,X4 : $i] : (((irel @ sK1 @ X1) = $false) | ((~ (!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => ((~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b2 @ Y1))))) | (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b0 @ Y1))))))))) = $true) | (((^[Y0 : $i]: ((irel @ X1 @ Y0) => (a2 @ Y0))) @ X4) = $true) | ((irel @ X2 @ X3) = $false) | (((irel @ X2 @ (sK4 @ X2)) => ((~ (!! @ $i @ (^[Y0 : $i]: ((irel @ (sK4 @ X2) @ Y0) => (b2 @ Y0))))) | (!! @ $i @ (^[Y0 : $i]: ((irel @ (sK4 @ X2) @ Y0) => (b0 @ Y0)))))) = $false) | ((irel @ sK1 @ X2) = $false) | ($true = (a2 @ X3))) )),
% 28.14/4.08 inference(pi_clausification,[],[f1257])).
% 28.14/4.08 thf(f1257,plain,(
% 28.14/4.08 ( ! [X2 : $i,X3 : $i,X1 : $i] : (((!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => (a2 @ Y0)))) = $true) | ((irel @ X2 @ X3) = $false) | (((irel @ X2 @ (sK4 @ X2)) => ((~ (!! @ $i @ (^[Y0 : $i]: ((irel @ (sK4 @ X2) @ Y0) => (b2 @ Y0))))) | (!! @ $i @ (^[Y0 : $i]: ((irel @ (sK4 @ X2) @ Y0) => (b0 @ Y0)))))) = $false) | ($true = (a2 @ X3)) | ((irel @ sK1 @ X1) = $false) | ((~ (!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => ((~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b2 @ Y1))))) | (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b0 @ Y1))))))))) = $true) | ((irel @ sK1 @ X2) = $false)) )),
% 28.14/4.08 inference(binary_proxy_clausification,[],[f1256])).
% 28.14/4.08 thf(f1256,plain,(
% 28.14/4.08 ( ! [X2 : $i,X3 : $i,X1 : $i] : (($true = ((irel @ X2 @ X3) => (a2 @ X3))) | ((irel @ sK1 @ X1) = $false) | ((irel @ sK1 @ X2) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => (a2 @ Y0)))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => ((~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b2 @ Y1))))) | (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b0 @ Y1))))))))) = $true) | (((irel @ X2 @ (sK4 @ X2)) => ((~ (!! @ $i @ (^[Y0 : $i]: ((irel @ (sK4 @ X2) @ Y0) => (b2 @ Y0))))) | (!! @ $i @ (^[Y0 : $i]: ((irel @ (sK4 @ X2) @ Y0) => (b0 @ Y0)))))) = $false)) )),
% 28.14/4.08 inference(beta_eta_normalization,[],[f1255])).
% 28.14/4.08 thf(f1255,plain,(
% 28.14/4.08 ( ! [X2 : $i,X3 : $i,X1 : $i] : (((!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => (a2 @ Y0)))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => ((~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b2 @ Y1))))) | (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b0 @ Y1))))))))) = $true) | (((^[Y0 : $i]: ((irel @ X2 @ Y0) => (a2 @ Y0))) @ X3) = $true) | ((irel @ sK1 @ X1) = $false) | ((irel @ sK1 @ X2) = $false) | (((irel @ X2 @ (sK4 @ X2)) => ((~ (!! @ $i @ (^[Y0 : $i]: ((irel @ (sK4 @ X2) @ Y0) => (b2 @ Y0))))) | (!! @ $i @ (^[Y0 : $i]: ((irel @ (sK4 @ X2) @ Y0) => (b0 @ Y0)))))) = $false)) )),
% 28.14/4.08 inference(pi_clausification,[],[f1254])).
% 28.14/4.08 thf(f1254,plain,(
% 28.14/4.08 ( ! [X2 : $i,X1 : $i] : (((!! @ $i @ (^[Y0 : $i]: ((irel @ X2 @ Y0) => (a2 @ Y0)))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => ((~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b2 @ Y1))))) | (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b0 @ Y1))))))))) = $true) | ((irel @ sK1 @ X2) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => (a2 @ Y0)))) = $true) | ((irel @ sK1 @ X1) = $false) | (((irel @ X2 @ (sK4 @ X2)) => ((~ (!! @ $i @ (^[Y0 : $i]: ((irel @ (sK4 @ X2) @ Y0) => (b2 @ Y0))))) | (!! @ $i @ (^[Y0 : $i]: ((irel @ (sK4 @ X2) @ Y0) => (b0 @ Y0)))))) = $false)) )),
% 28.14/4.08 inference(beta_eta_normalization,[],[f1253])).
% 28.14/4.08 thf(f1253,plain,(
% 28.14/4.08 ( ! [X2 : $i,X1 : $i] : (((irel @ sK1 @ X2) = $false) | ((~ (!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => ((~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b2 @ Y1))))) | (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b0 @ Y1))))))))) = $true) | ((!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => (a2 @ Y0)))) = $true) | ((!! @ $i @ (^[Y0 : $i]: ((irel @ X2 @ Y0) => (a2 @ Y0)))) = $true) | (((^[Y0 : $i]: ((irel @ X2 @ Y0) => ((~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b2 @ Y1))))) | (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b0 @ Y1))))))) @ (sK4 @ X2)) = $false) | ((irel @ sK1 @ X1) = $false)) )),
% 28.14/4.08 inference(sigma_clausification,[],[f1252])).
% 28.14/4.08 thf(f1252,plain,(
% 28.14/4.08 ( ! [X2 : $i,X1 : $i] : (((!! @ $i @ (^[Y0 : $i]: ((irel @ X2 @ Y0) => ((~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b2 @ Y1))))) | (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b0 @ Y1)))))))) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => (a2 @ Y0)))) = $true) | ((irel @ sK1 @ X1) = $false) | ((~ (!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => ((~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b2 @ Y1))))) | (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b0 @ Y1))))))))) = $true) | ((irel @ sK1 @ X2) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((irel @ X2 @ Y0) => (a2 @ Y0)))) = $true)) )),
% 28.14/4.08 inference(binary_proxy_clausification,[],[f1251])).
% 28.14/4.08 thf(f1251,plain,(
% 28.14/4.08 ( ! [X2 : $i,X1 : $i] : ((((~ (!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => ((~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b2 @ Y1))))) | (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b0 @ Y1))))))))) | (!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => (a2 @ Y0))))) = $true) | ((!! @ $i @ (^[Y0 : $i]: ((irel @ X2 @ Y0) => (a2 @ Y0)))) = $true) | ((irel @ sK1 @ X2) = $false) | ((irel @ sK1 @ X1) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((irel @ X2 @ Y0) => ((~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b2 @ Y1))))) | (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b0 @ Y1)))))))) = $false)) )),
% 28.14/4.08 inference(not_proxy_clausification,[],[f1250])).
% 28.14/4.08 thf(f1250,plain,(
% 28.14/4.08 ( ! [X2 : $i,X1 : $i] : (($true = (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ X2 @ Y0) => ((~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b2 @ Y1))))) | (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b0 @ Y1)))))))))) | (((~ (!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => ((~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b2 @ Y1))))) | (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b0 @ Y1))))))))) | (!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => (a2 @ Y0))))) = $true) | ((irel @ sK1 @ X2) = $false) | ((irel @ sK1 @ X1) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((irel @ X2 @ Y0) => (a2 @ Y0)))) = $true)) )),
% 28.14/4.08 inference(binary_proxy_clausification,[],[f1249])).
% 28.14/4.08 thf(f1249,plain,(
% 28.14/4.08 ( ! [X2 : $i,X1 : $i] : (((irel @ sK1 @ X2) = $false) | ($true = ((~ (!! @ $i @ (^[Y0 : $i]: ((irel @ X2 @ Y0) => ((~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b2 @ Y1))))) | (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b0 @ Y1))))))))) | (!! @ $i @ (^[Y0 : $i]: ((irel @ X2 @ Y0) => (a2 @ Y0)))))) | ((irel @ sK1 @ X1) = $false) | (((~ (!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => ((~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b2 @ Y1))))) | (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b0 @ Y1))))))))) | (!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => (a2 @ Y0))))) = $true)) )),
% 28.14/4.08 inference(binary_proxy_clausification,[],[f904])).
% 28.14/4.08 thf(f904,plain,(
% 28.14/4.08 ( ! [X2 : $i,X1 : $i] : (((irel @ sK1 @ X2) = $false) | ((irel @ sK1 @ X1) = $false) | ($true = (((~ (!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => ((~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b2 @ Y1))))) | (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b0 @ Y1))))))))) | (!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => (a2 @ Y0))))) & ((~ (!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => (a0 @ Y0))))) | (!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => (f @ Y0))))))) | ($true = ((~ (!! @ $i @ (^[Y0 : $i]: ((irel @ X2 @ Y0) => ((~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b2 @ Y1))))) | (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b0 @ Y1))))))))) | (!! @ $i @ (^[Y0 : $i]: ((irel @ X2 @ Y0) => (a2 @ Y0))))))) )),
% 28.14/4.08 inference(binary_proxy_clausification,[],[f901])).
% 28.14/4.08 thf(f901,plain,(
% 28.14/4.08 ( ! [X2 : $i,X1 : $i] : (((irel @ sK1 @ X1) = $false) | ($true = (((~ (!! @ $i @ (^[Y0 : $i]: ((irel @ X2 @ Y0) => ((~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b2 @ Y1))))) | (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b0 @ Y1))))))))) | (!! @ $i @ (^[Y0 : $i]: ((irel @ X2 @ Y0) => (a2 @ Y0))))) & (((~ (!! @ $i @ (^[Y0 : $i]: ((irel @ X2 @ Y0) => ((~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b0 @ Y1))))) | (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a1 @ Y1))))))))) | (!! @ $i @ (^[Y0 : $i]: ((irel @ X2 @ Y0) => (a0 @ Y0))))) & ((~ (!! @ $i @ (^[Y0 : $i]: ((irel @ X2 @ Y0) => ((~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b1 @ Y1))))) | (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a2 @ Y1))))))))) | (!! @ $i @ (^[Y0 : $i]: ((irel @ X2 @ Y0) => (a1 @ Y0)))))))) | ($true = (((~ (!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => ((~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b2 @ Y1))))) | (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b0 @ Y1))))))))) | (!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => (a2 @ Y0))))) & ((~ (!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => (a0 @ Y0))))) | (!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => (f @ Y0))))))) | ((irel @ sK1 @ X2) = $false)) )),
% 28.14/4.08 inference(binary_proxy_clausification,[],[f589])).
% 28.14/4.08 thf(f1298,plain,(
% 28.14/4.08 spl0_5 | spl0_5),
% 28.14/4.08 inference(avatar_split_clause,[],[f1296,f162,f162])).
% 28.14/4.08 thf(f1296,plain,(
% 28.14/4.08 ( ! [X2 : $i,X3 : $i,X1 : $i,X4 : $i] : (((irel @ sK1 @ X1) = $false) | ($true = (a2 @ X3)) | ((a2 @ X4) = $true) | ((irel @ sK1 @ X2) = $false) | ((b0 @ (sK5 @ X1)) = $false) | ((irel @ X1 @ X4) = $false) | ((irel @ X2 @ X3) = $false) | ((b0 @ (sK5 @ X2)) = $false)) )),
% 28.14/4.08 inference(binary_proxy_clausification,[],[f1295])).
% 28.14/4.08 thf(f1295,plain,(
% 28.14/4.08 ( ! [X2 : $i,X3 : $i,X1 : $i,X4 : $i] : (((a2 @ X4) = $true) | ((irel @ sK1 @ X1) = $false) | ((irel @ sK1 @ X2) = $false) | (((irel @ (sK4 @ X1) @ (sK5 @ X1)) => (b0 @ (sK5 @ X1))) = $false) | ((irel @ X2 @ X3) = $false) | ($true = (a2 @ X3)) | ((b0 @ (sK5 @ X2)) = $false) | ((irel @ X1 @ X4) = $false)) )),
% 28.14/4.08 inference(beta_eta_normalization,[],[f1294])).
% 28.14/4.08 thf(f1294,plain,(
% 28.14/4.08 ( ! [X2 : $i,X3 : $i,X1 : $i,X4 : $i] : (((irel @ X1 @ X4) = $false) | ((irel @ sK1 @ X2) = $false) | ((a2 @ X4) = $true) | ((b0 @ (sK5 @ X2)) = $false) | ((irel @ sK1 @ X1) = $false) | ((irel @ X2 @ X3) = $false) | (((^[Y0 : $i]: ((irel @ (sK4 @ X1) @ Y0) => (b0 @ Y0))) @ (sK5 @ X1)) = $false) | ($true = (a2 @ X3))) )),
% 28.14/4.08 inference(sigma_clausification,[],[f1287])).
% 28.14/4.08 thf(f1287,plain,(
% 28.14/4.08 ( ! [X2 : $i,X3 : $i,X1 : $i,X4 : $i] : (((irel @ sK1 @ X1) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((irel @ (sK4 @ X1) @ Y0) => (b0 @ Y0)))) = $false) | ((a2 @ X4) = $true) | ((irel @ sK1 @ X2) = $false) | ($true = (a2 @ X3)) | ((b0 @ (sK5 @ X2)) = $false) | ((irel @ X1 @ X4) = $false) | ((irel @ X2 @ X3) = $false)) )),
% 28.14/4.08 inference(binary_proxy_clausification,[],[f1272])).
% 28.14/4.08 thf(f1272,plain,(
% 28.14/4.08 ( ! [X2 : $i,X3 : $i,X1 : $i,X4 : $i] : (((irel @ X2 @ X3) = $false) | ((irel @ X1 @ X4) = $false) | ((irel @ sK1 @ X1) = $false) | ((a2 @ X4) = $true) | ((irel @ sK1 @ X2) = $false) | ($true = (a2 @ X3)) | ((b0 @ (sK5 @ X2)) = $false) | (((~ (!! @ $i @ (^[Y0 : $i]: ((irel @ (sK4 @ X1) @ Y0) => (b2 @ Y0))))) | (!! @ $i @ (^[Y0 : $i]: ((irel @ (sK4 @ X1) @ Y0) => (b0 @ Y0))))) = $false)) )),
% 28.14/4.08 inference(binary_proxy_clausification,[],[f1270])).
% 28.14/4.08 thf(f1270,plain,(
% 28.14/4.08 ( ! [X2 : $i,X3 : $i,X1 : $i,X4 : $i] : (($true = (a2 @ X3)) | ((irel @ sK1 @ X1) = $false) | ((irel @ X2 @ X3) = $false) | ((irel @ sK1 @ X2) = $false) | (((irel @ (sK4 @ X2) @ (sK5 @ X2)) => (b0 @ (sK5 @ X2))) = $false) | ((a2 @ X4) = $true) | ((irel @ X1 @ X4) = $false) | (((~ (!! @ $i @ (^[Y0 : $i]: ((irel @ (sK4 @ X1) @ Y0) => (b2 @ Y0))))) | (!! @ $i @ (^[Y0 : $i]: ((irel @ (sK4 @ X1) @ Y0) => (b0 @ Y0))))) = $false)) )),
% 28.14/4.08 inference(binary_proxy_clausification,[],[f1269])).
% 28.14/4.08 thf(f1269,plain,(
% 28.14/4.08 ( ! [X2 : $i,X3 : $i,X1 : $i,X4 : $i] : ((((irel @ X1 @ (sK4 @ X1)) => ((~ (!! @ $i @ (^[Y0 : $i]: ((irel @ (sK4 @ X1) @ Y0) => (b2 @ Y0))))) | (!! @ $i @ (^[Y0 : $i]: ((irel @ (sK4 @ X1) @ Y0) => (b0 @ Y0)))))) = $false) | ((irel @ X2 @ X3) = $false) | ($true = (a2 @ X3)) | (((irel @ (sK4 @ X2) @ (sK5 @ X2)) => (b0 @ (sK5 @ X2))) = $false) | ((irel @ sK1 @ X1) = $false) | ((irel @ X1 @ X4) = $false) | ((irel @ sK1 @ X2) = $false) | ((a2 @ X4) = $true)) )),
% 28.14/4.08 inference(beta_eta_normalization,[],[f1268])).
% 28.14/4.08 thf(f1268,plain,(
% 28.14/4.08 ( ! [X2 : $i,X3 : $i,X1 : $i,X4 : $i] : ((((^[Y0 : $i]: ((irel @ (sK4 @ X2) @ Y0) => (b0 @ Y0))) @ (sK5 @ X2)) = $false) | ((irel @ sK1 @ X2) = $false) | ($true = (a2 @ X3)) | ((irel @ X2 @ X3) = $false) | ((irel @ X1 @ X4) = $false) | ((irel @ sK1 @ X1) = $false) | ((a2 @ X4) = $true) | (((irel @ X1 @ (sK4 @ X1)) => ((~ (!! @ $i @ (^[Y0 : $i]: ((irel @ (sK4 @ X1) @ Y0) => (b2 @ Y0))))) | (!! @ $i @ (^[Y0 : $i]: ((irel @ (sK4 @ X1) @ Y0) => (b0 @ Y0)))))) = $false)) )),
% 28.14/4.08 inference(sigma_clausification,[],[f1266])).
% 28.14/4.08 thf(f1266,plain,(
% 28.14/4.08 ( ! [X2 : $i,X3 : $i,X1 : $i,X4 : $i] : (((irel @ X1 @ X4) = $false) | ($true = (a2 @ X3)) | ((irel @ sK1 @ X1) = $false) | ((irel @ sK1 @ X2) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((irel @ (sK4 @ X2) @ Y0) => (b0 @ Y0)))) = $false) | ((a2 @ X4) = $true) | ((irel @ X2 @ X3) = $false) | (((irel @ X1 @ (sK4 @ X1)) => ((~ (!! @ $i @ (^[Y0 : $i]: ((irel @ (sK4 @ X1) @ Y0) => (b2 @ Y0))))) | (!! @ $i @ (^[Y0 : $i]: ((irel @ (sK4 @ X1) @ Y0) => (b0 @ Y0)))))) = $false)) )),
% 28.14/4.08 inference(binary_proxy_clausification,[],[f1265])).
% 28.14/4.08 thf(f1265,plain,(
% 28.14/4.08 ( ! [X2 : $i,X3 : $i,X1 : $i,X4 : $i] : ((((~ (!! @ $i @ (^[Y0 : $i]: ((irel @ (sK4 @ X2) @ Y0) => (b2 @ Y0))))) | (!! @ $i @ (^[Y0 : $i]: ((irel @ (sK4 @ X2) @ Y0) => (b0 @ Y0))))) = $false) | ((irel @ X2 @ X3) = $false) | ((irel @ sK1 @ X2) = $false) | ((irel @ X1 @ X4) = $false) | ($true = (a2 @ X3)) | (((irel @ X1 @ (sK4 @ X1)) => ((~ (!! @ $i @ (^[Y0 : $i]: ((irel @ (sK4 @ X1) @ Y0) => (b2 @ Y0))))) | (!! @ $i @ (^[Y0 : $i]: ((irel @ (sK4 @ X1) @ Y0) => (b0 @ Y0)))))) = $false) | ((a2 @ X4) = $true) | ((irel @ sK1 @ X1) = $false)) )),
% 28.14/4.08 inference(binary_proxy_clausification,[],[f1264])).
% 28.14/4.08 thf(f1264,plain,(
% 28.14/4.08 ( ! [X2 : $i,X3 : $i,X1 : $i,X4 : $i] : (($true = (a2 @ X3)) | ((irel @ X2 @ X3) = $false) | ($true = ((irel @ X1 @ X4) => (a2 @ X4))) | ((irel @ sK1 @ X1) = $false) | ((irel @ sK1 @ X2) = $false) | (((~ (!! @ $i @ (^[Y0 : $i]: ((irel @ (sK4 @ X2) @ Y0) => (b2 @ Y0))))) | (!! @ $i @ (^[Y0 : $i]: ((irel @ (sK4 @ X2) @ Y0) => (b0 @ Y0))))) = $false) | (((irel @ X1 @ (sK4 @ X1)) => ((~ (!! @ $i @ (^[Y0 : $i]: ((irel @ (sK4 @ X1) @ Y0) => (b2 @ Y0))))) | (!! @ $i @ (^[Y0 : $i]: ((irel @ (sK4 @ X1) @ Y0) => (b0 @ Y0)))))) = $false)) )),
% 28.14/4.08 inference(beta_eta_normalization,[],[f1263])).
% 28.14/4.08 thf(f1263,plain,(
% 28.14/4.08 ( ! [X2 : $i,X3 : $i,X1 : $i,X4 : $i] : (($true = (a2 @ X3)) | ((irel @ sK1 @ X2) = $false) | ($true = ((irel @ X1 @ X4) => (a2 @ X4))) | (((~ (!! @ $i @ (^[Y0 : $i]: ((irel @ (sK4 @ X2) @ Y0) => (b2 @ Y0))))) | (!! @ $i @ (^[Y0 : $i]: ((irel @ (sK4 @ X2) @ Y0) => (b0 @ Y0))))) = $false) | ((irel @ X2 @ X3) = $false) | (((^[Y0 : $i]: ((irel @ X1 @ Y0) => ((~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b2 @ Y1))))) | (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b0 @ Y1))))))) @ (sK4 @ X1)) = $false) | ((irel @ sK1 @ X1) = $false)) )),
% 28.14/4.08 inference(sigma_clausification,[],[f1262])).
% 28.14/4.08 thf(f1262,plain,(
% 28.14/4.08 ( ! [X2 : $i,X3 : $i,X1 : $i,X4 : $i] : (((irel @ X2 @ X3) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => ((~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b2 @ Y1))))) | (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b0 @ Y1)))))))) = $false) | ((irel @ sK1 @ X2) = $false) | ($true = ((irel @ X1 @ X4) => (a2 @ X4))) | ($true = (a2 @ X3)) | (((~ (!! @ $i @ (^[Y0 : $i]: ((irel @ (sK4 @ X2) @ Y0) => (b2 @ Y0))))) | (!! @ $i @ (^[Y0 : $i]: ((irel @ (sK4 @ X2) @ Y0) => (b0 @ Y0))))) = $false) | ((irel @ sK1 @ X1) = $false)) )),
% 28.14/4.08 inference(not_proxy_clausification,[],[f1260])).
% 28.14/4.08 thf(f1260,plain,(
% 28.14/4.08 ( ! [X2 : $i,X3 : $i,X1 : $i,X4 : $i] : (((~ (!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => ((~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b2 @ Y1))))) | (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b0 @ Y1))))))))) = $true) | ($true = (a2 @ X3)) | ((irel @ sK1 @ X2) = $false) | ((irel @ X2 @ X3) = $false) | ((irel @ sK1 @ X1) = $false) | ($true = ((irel @ X1 @ X4) => (a2 @ X4))) | (((~ (!! @ $i @ (^[Y0 : $i]: ((irel @ (sK4 @ X2) @ Y0) => (b2 @ Y0))))) | (!! @ $i @ (^[Y0 : $i]: ((irel @ (sK4 @ X2) @ Y0) => (b0 @ Y0))))) = $false)) )),
% 28.14/4.08 inference(binary_proxy_clausification,[],[f1259])).
% 28.14/4.08 thf(f1286,plain,(
% 28.14/4.08 spl0_6 | spl0_6),
% 28.14/4.08 inference(avatar_split_clause,[],[f1284,f166,f166])).
% 28.14/4.08 thf(f1284,plain,(
% 28.14/4.08 ( ! [X2 : $i,X3 : $i,X1 : $i,X4 : $i] : (((irel @ sK1 @ X2) = $false) | ($true = (a2 @ X3)) | ((irel @ (sK4 @ X2) @ (sK5 @ X2)) = $true) | ((irel @ sK1 @ X1) = $false) | ((irel @ X2 @ X3) = $false) | ((a2 @ X4) = $true) | ((irel @ (sK4 @ X1) @ (sK5 @ X1)) = $true) | ((irel @ X1 @ X4) = $false)) )),
% 28.14/4.08 inference(binary_proxy_clausification,[],[f1282])).
% 28.14/4.08 thf(f1282,plain,(
% 28.14/4.08 ( ! [X2 : $i,X3 : $i,X1 : $i,X4 : $i] : (((irel @ (sK4 @ X2) @ (sK5 @ X2)) = $true) | ($true = (a2 @ X3)) | ((a2 @ X4) = $true) | (((irel @ (sK4 @ X1) @ (sK5 @ X1)) => (b0 @ (sK5 @ X1))) = $false) | ((irel @ X1 @ X4) = $false) | ((irel @ sK1 @ X2) = $false) | ((irel @ sK1 @ X1) = $false) | ((irel @ X2 @ X3) = $false)) )),
% 28.14/4.08 inference(beta_eta_normalization,[],[f1281])).
% 28.14/4.08 thf(f1281,plain,(
% 28.14/4.08 ( ! [X2 : $i,X3 : $i,X1 : $i,X4 : $i] : (((irel @ X2 @ X3) = $false) | ((irel @ sK1 @ X2) = $false) | ((irel @ (sK4 @ X2) @ (sK5 @ X2)) = $true) | ((irel @ sK1 @ X1) = $false) | ((a2 @ X4) = $true) | ((irel @ X1 @ X4) = $false) | ($true = (a2 @ X3)) | (((^[Y0 : $i]: ((irel @ (sK4 @ X1) @ Y0) => (b0 @ Y0))) @ (sK5 @ X1)) = $false)) )),
% 28.14/4.08 inference(sigma_clausification,[],[f1274])).
% 28.14/4.08 thf(f1274,plain,(
% 28.14/4.08 ( ! [X2 : $i,X3 : $i,X1 : $i,X4 : $i] : (((!! @ $i @ (^[Y0 : $i]: ((irel @ (sK4 @ X1) @ Y0) => (b0 @ Y0)))) = $false) | ((irel @ X1 @ X4) = $false) | ($true = (a2 @ X3)) | ((irel @ sK1 @ X1) = $false) | ((irel @ (sK4 @ X2) @ (sK5 @ X2)) = $true) | ((a2 @ X4) = $true) | ((irel @ sK1 @ X2) = $false) | ((irel @ X2 @ X3) = $false)) )),
% 28.14/4.08 inference(binary_proxy_clausification,[],[f1273])).
% 28.14/4.08 thf(f1273,plain,(
% 28.14/4.08 ( ! [X2 : $i,X3 : $i,X1 : $i,X4 : $i] : (((a2 @ X4) = $true) | ((irel @ sK1 @ X1) = $false) | ((irel @ X2 @ X3) = $false) | ($true = (a2 @ X3)) | ((irel @ (sK4 @ X2) @ (sK5 @ X2)) = $true) | ((irel @ sK1 @ X2) = $false) | ((irel @ X1 @ X4) = $false) | (((~ (!! @ $i @ (^[Y0 : $i]: ((irel @ (sK4 @ X1) @ Y0) => (b2 @ Y0))))) | (!! @ $i @ (^[Y0 : $i]: ((irel @ (sK4 @ X1) @ Y0) => (b0 @ Y0))))) = $false)) )),
% 28.14/4.08 inference(binary_proxy_clausification,[],[f1270])).
% 28.14/4.08 thf(f807,plain,(
% 28.14/4.08 spl0_15 | spl0_15),
% 28.14/4.08 inference(avatar_split_clause,[],[f793,f248,f248])).
% 28.14/4.08 thf(f793,plain,(
% 28.14/4.08 ( ! [X2 : $i,X3 : $i,X1 : $i,X4 : $i] : (((irel @ X1 @ X3) = $false) | ((irel @ X2 @ X4) = $false) | ((irel @ X2 @ (sK8 @ X2)) = $true) | ($true = (irel @ X1 @ (sK8 @ X1))) | ((irel @ sK1 @ X1) = $false) | ((irel @ sK1 @ X2) = $false) | ((a1 @ X3) = $true) | ((a1 @ X4) = $true)) )),
% 28.14/4.08 inference(binary_proxy_clausification,[],[f791])).
% 28.14/4.08 thf(f791,plain,(
% 28.14/4.08 ( ! [X2 : $i,X3 : $i,X1 : $i,X4 : $i] : ((((irel @ X2 @ (sK8 @ X2)) => ((~ (!! @ $i @ (^[Y0 : $i]: ((irel @ (sK8 @ X2) @ Y0) => (b1 @ Y0))))) | (!! @ $i @ (^[Y0 : $i]: ((irel @ (sK8 @ X2) @ Y0) => (a2 @ Y0)))))) = $false) | ($true = (irel @ X1 @ (sK8 @ X1))) | ((irel @ sK1 @ X2) = $false) | ((irel @ X1 @ X3) = $false) | ((irel @ X2 @ X4) = $false) | ((a1 @ X3) = $true) | ((irel @ sK1 @ X1) = $false) | ((a1 @ X4) = $true)) )),
% 28.14/4.08 inference(beta_eta_normalization,[],[f790])).
% 28.14/4.08 thf(f790,plain,(
% 28.14/4.08 ( ! [X2 : $i,X3 : $i,X1 : $i,X4 : $i] : (((irel @ X2 @ X4) = $false) | ((a1 @ X4) = $true) | (((^[Y0 : $i]: ((irel @ X2 @ Y0) => ((~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b1 @ Y1))))) | (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a2 @ Y1))))))) @ (sK8 @ X2)) = $false) | ((irel @ X1 @ X3) = $false) | ((irel @ sK1 @ X1) = $false) | ((a1 @ X3) = $true) | ($true = (irel @ X1 @ (sK8 @ X1))) | ((irel @ sK1 @ X2) = $false)) )),
% 28.14/4.08 inference(sigma_clausification,[],[f789])).
% 28.14/4.08 thf(f789,plain,(
% 28.14/4.08 ( ! [X2 : $i,X3 : $i,X1 : $i,X4 : $i] : (((irel @ sK1 @ X2) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((irel @ X2 @ Y0) => ((~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b1 @ Y1))))) | (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a2 @ Y1)))))))) = $false) | ((irel @ sK1 @ X1) = $false) | ((irel @ X1 @ X3) = $false) | ((a1 @ X4) = $true) | ((a1 @ X3) = $true) | ($true = (irel @ X1 @ (sK8 @ X1))) | ((irel @ X2 @ X4) = $false)) )),
% 28.14/4.08 inference(not_proxy_clausification,[],[f788])).
% 28.14/4.08 thf(f788,plain,(
% 28.14/4.08 ( ! [X2 : $i,X3 : $i,X1 : $i,X4 : $i] : (((irel @ sK1 @ X2) = $false) | ((irel @ sK1 @ X1) = $false) | ($true = (irel @ X1 @ (sK8 @ X1))) | ((irel @ X2 @ X4) = $false) | ((~ (!! @ $i @ (^[Y0 : $i]: ((irel @ X2 @ Y0) => ((~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b1 @ Y1))))) | (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a2 @ Y1))))))))) = $true) | ((irel @ X1 @ X3) = $false) | ((a1 @ X4) = $true) | ((a1 @ X3) = $true)) )),
% 28.14/4.08 inference(binary_proxy_clausification,[],[f787])).
% 28.14/4.08 thf(f787,plain,(
% 28.14/4.08 ( ! [X2 : $i,X3 : $i,X1 : $i,X4 : $i] : (((a1 @ X3) = $true) | ((irel @ X1 @ X3) = $false) | ($true = (irel @ X1 @ (sK8 @ X1))) | ((irel @ sK1 @ X2) = $false) | (((irel @ X2 @ X4) => (a1 @ X4)) = $true) | ((irel @ sK1 @ X1) = $false) | ((~ (!! @ $i @ (^[Y0 : $i]: ((irel @ X2 @ Y0) => ((~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b1 @ Y1))))) | (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a2 @ Y1))))))))) = $true)) )),
% 28.14/4.08 inference(beta_eta_normalization,[],[f786])).
% 28.14/4.08 thf(f786,plain,(
% 28.14/4.08 ( ! [X2 : $i,X3 : $i,X1 : $i,X4 : $i] : (((~ (!! @ $i @ (^[Y0 : $i]: ((irel @ X2 @ Y0) => ((~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b1 @ Y1))))) | (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a2 @ Y1))))))))) = $true) | (((^[Y0 : $i]: ((irel @ X2 @ Y0) => (a1 @ Y0))) @ X4) = $true) | ((irel @ sK1 @ X2) = $false) | ((irel @ sK1 @ X1) = $false) | ((a1 @ X3) = $true) | ((irel @ X1 @ X3) = $false) | ($true = (irel @ X1 @ (sK8 @ X1)))) )),
% 28.14/4.08 inference(pi_clausification,[],[f785])).
% 28.14/4.08 thf(f785,plain,(
% 28.14/4.08 ( ! [X2 : $i,X3 : $i,X1 : $i] : (((!! @ $i @ (^[Y0 : $i]: ((irel @ X2 @ Y0) => (a1 @ Y0)))) = $true) | ((irel @ sK1 @ X2) = $false) | ((irel @ X1 @ X3) = $false) | ($true = (irel @ X1 @ (sK8 @ X1))) | ((a1 @ X3) = $true) | ((irel @ sK1 @ X1) = $false) | ((~ (!! @ $i @ (^[Y0 : $i]: ((irel @ X2 @ Y0) => ((~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b1 @ Y1))))) | (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a2 @ Y1))))))))) = $true)) )),
% 28.14/4.08 inference(binary_proxy_clausification,[],[f784])).
% 28.14/4.08 thf(f784,plain,(
% 28.14/4.08 ( ! [X2 : $i,X3 : $i,X1 : $i] : (((irel @ sK1 @ X1) = $false) | ($true = ((irel @ X1 @ X3) => (a1 @ X3))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((irel @ X2 @ Y0) => ((~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b1 @ Y1))))) | (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a2 @ Y1))))))))) = $true) | ((!! @ $i @ (^[Y0 : $i]: ((irel @ X2 @ Y0) => (a1 @ Y0)))) = $true) | ($true = (irel @ X1 @ (sK8 @ X1))) | ((irel @ sK1 @ X2) = $false)) )),
% 28.14/4.08 inference(binary_proxy_clausification,[],[f703])).
% 28.14/4.08 thf(f703,plain,(
% 28.14/4.08 ( ! [X2 : $i,X3 : $i,X1 : $i] : ((((~ (!! @ $i @ (^[Y0 : $i]: ((irel @ X2 @ Y0) => ((~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b1 @ Y1))))) | (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a2 @ Y1))))))))) | (!! @ $i @ (^[Y0 : $i]: ((irel @ X2 @ Y0) => (a1 @ Y0))))) = $true) | ($true = (irel @ X1 @ (sK8 @ X1))) | ((irel @ sK1 @ X2) = $false) | ($true = ((irel @ X1 @ X3) => (a1 @ X3))) | ((irel @ sK1 @ X1) = $false)) )),
% 28.14/4.08 inference(binary_proxy_clausification,[],[f701])).
% 28.14/4.08 thf(f701,plain,(
% 28.14/4.08 ( ! [X2 : $i,X3 : $i,X1 : $i] : ((((irel @ X1 @ (sK8 @ X1)) => ((~ (!! @ $i @ (^[Y0 : $i]: ((irel @ (sK8 @ X1) @ Y0) => (b1 @ Y0))))) | (!! @ $i @ (^[Y0 : $i]: ((irel @ (sK8 @ X1) @ Y0) => (a2 @ Y0)))))) = $false) | ((irel @ sK1 @ X2) = $false) | ((irel @ sK1 @ X1) = $false) | (((~ (!! @ $i @ (^[Y0 : $i]: ((irel @ X2 @ Y0) => ((~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b1 @ Y1))))) | (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a2 @ Y1))))))))) | (!! @ $i @ (^[Y0 : $i]: ((irel @ X2 @ Y0) => (a1 @ Y0))))) = $true) | ($true = ((irel @ X1 @ X3) => (a1 @ X3)))) )),
% 28.14/4.08 inference(beta_eta_normalization,[],[f700])).
% 28.14/4.08 thf(f700,plain,(
% 28.14/4.08 ( ! [X2 : $i,X3 : $i,X1 : $i] : (((irel @ sK1 @ X1) = $false) | (((~ (!! @ $i @ (^[Y0 : $i]: ((irel @ X2 @ Y0) => ((~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b1 @ Y1))))) | (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a2 @ Y1))))))))) | (!! @ $i @ (^[Y0 : $i]: ((irel @ X2 @ Y0) => (a1 @ Y0))))) = $true) | (((irel @ X1 @ (sK8 @ X1)) => ((~ (!! @ $i @ (^[Y0 : $i]: ((irel @ (sK8 @ X1) @ Y0) => (b1 @ Y0))))) | (!! @ $i @ (^[Y0 : $i]: ((irel @ (sK8 @ X1) @ Y0) => (a2 @ Y0)))))) = $false) | ((irel @ sK1 @ X2) = $false) | (((^[Y0 : $i]: ((irel @ X1 @ Y0) => (a1 @ Y0))) @ X3) = $true)) )),
% 28.14/4.08 inference(pi_clausification,[],[f699])).
% 28.14/4.08 thf(f699,plain,(
% 28.14/4.08 ( ! [X2 : $i,X1 : $i] : (((irel @ sK1 @ X1) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => (a1 @ Y0)))) = $true) | ((irel @ sK1 @ X2) = $false) | (((~ (!! @ $i @ (^[Y0 : $i]: ((irel @ X2 @ Y0) => ((~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b1 @ Y1))))) | (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a2 @ Y1))))))))) | (!! @ $i @ (^[Y0 : $i]: ((irel @ X2 @ Y0) => (a1 @ Y0))))) = $true) | (((irel @ X1 @ (sK8 @ X1)) => ((~ (!! @ $i @ (^[Y0 : $i]: ((irel @ (sK8 @ X1) @ Y0) => (b1 @ Y0))))) | (!! @ $i @ (^[Y0 : $i]: ((irel @ (sK8 @ X1) @ Y0) => (a2 @ Y0)))))) = $false)) )),
% 28.14/4.08 inference(beta_eta_normalization,[],[f698])).
% 28.14/4.08 thf(f698,plain,(
% 28.14/4.08 ( ! [X2 : $i,X1 : $i] : (((!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => (a1 @ Y0)))) = $true) | ((irel @ sK1 @ X2) = $false) | ((irel @ sK1 @ X1) = $false) | (((~ (!! @ $i @ (^[Y0 : $i]: ((irel @ X2 @ Y0) => ((~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b1 @ Y1))))) | (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a2 @ Y1))))))))) | (!! @ $i @ (^[Y0 : $i]: ((irel @ X2 @ Y0) => (a1 @ Y0))))) = $true) | (((^[Y0 : $i]: ((irel @ X1 @ Y0) => ((~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b1 @ Y1))))) | (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a2 @ Y1))))))) @ (sK8 @ X1)) = $false)) )),
% 28.14/4.08 inference(sigma_clausification,[],[f697])).
% 28.14/4.08 thf(f697,plain,(
% 28.14/4.08 ( ! [X2 : $i,X1 : $i] : (((irel @ sK1 @ X1) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => ((~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b1 @ Y1))))) | (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a2 @ Y1)))))))) = $false) | ((irel @ sK1 @ X2) = $false) | (((~ (!! @ $i @ (^[Y0 : $i]: ((irel @ X2 @ Y0) => ((~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b1 @ Y1))))) | (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a2 @ Y1))))))))) | (!! @ $i @ (^[Y0 : $i]: ((irel @ X2 @ Y0) => (a1 @ Y0))))) = $true) | ((!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => (a1 @ Y0)))) = $true)) )),
% 28.14/4.08 inference(not_proxy_clausification,[],[f696])).
% 28.14/4.08 thf(f696,plain,(
% 28.14/4.08 ( ! [X2 : $i,X1 : $i] : (((~ (!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => ((~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b1 @ Y1))))) | (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a2 @ Y1))))))))) = $true) | ((!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => (a1 @ Y0)))) = $true) | (((~ (!! @ $i @ (^[Y0 : $i]: ((irel @ X2 @ Y0) => ((~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b1 @ Y1))))) | (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a2 @ Y1))))))))) | (!! @ $i @ (^[Y0 : $i]: ((irel @ X2 @ Y0) => (a1 @ Y0))))) = $true) | ((irel @ sK1 @ X2) = $false) | ((irel @ sK1 @ X1) = $false)) )),
% 28.14/4.08 inference(binary_proxy_clausification,[],[f593])).
% 28.14/4.08 thf(f593,plain,(
% 28.14/4.08 ( ! [X2 : $i,X1 : $i] : ((((~ (!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => ((~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b1 @ Y1))))) | (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a2 @ Y1))))))))) | (!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => (a1 @ Y0))))) = $true) | ((irel @ sK1 @ X1) = $false) | (((~ (!! @ $i @ (^[Y0 : $i]: ((irel @ X2 @ Y0) => ((~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b1 @ Y1))))) | (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a2 @ Y1))))))))) | (!! @ $i @ (^[Y0 : $i]: ((irel @ X2 @ Y0) => (a1 @ Y0))))) = $true) | ((irel @ sK1 @ X2) = $false)) )),
% 28.14/4.08 inference(binary_proxy_clausification,[],[f591])).
% 28.14/4.08 thf(f591,plain,(
% 28.14/4.08 ( ! [X2 : $i,X1 : $i] : (((irel @ sK1 @ X2) = $false) | ((irel @ sK1 @ X1) = $false) | ((((~ (!! @ $i @ (^[Y0 : $i]: ((irel @ X2 @ Y0) => ((~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b0 @ Y1))))) | (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a1 @ Y1))))))))) | (!! @ $i @ (^[Y0 : $i]: ((irel @ X2 @ Y0) => (a0 @ Y0))))) & ((~ (!! @ $i @ (^[Y0 : $i]: ((irel @ X2 @ Y0) => ((~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b1 @ Y1))))) | (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a2 @ Y1))))))))) | (!! @ $i @ (^[Y0 : $i]: ((irel @ X2 @ Y0) => (a1 @ Y0)))))) = $true) | (((~ (!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => ((~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b1 @ Y1))))) | (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a2 @ Y1))))))))) | (!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => (a1 @ Y0))))) = $true)) )),
% 28.14/4.08 inference(binary_proxy_clausification,[],[f590])).
% 28.14/4.08 thf(f590,plain,(
% 28.14/4.08 ( ! [X2 : $i,X1 : $i] : (((irel @ sK1 @ X2) = $false) | ($true = (((~ (!! @ $i @ (^[Y0 : $i]: ((irel @ X2 @ Y0) => ((~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b2 @ Y1))))) | (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b0 @ Y1))))))))) | (!! @ $i @ (^[Y0 : $i]: ((irel @ X2 @ Y0) => (a2 @ Y0))))) & (((~ (!! @ $i @ (^[Y0 : $i]: ((irel @ X2 @ Y0) => ((~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b0 @ Y1))))) | (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a1 @ Y1))))))))) | (!! @ $i @ (^[Y0 : $i]: ((irel @ X2 @ Y0) => (a0 @ Y0))))) & ((~ (!! @ $i @ (^[Y0 : $i]: ((irel @ X2 @ Y0) => ((~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b1 @ Y1))))) | (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a2 @ Y1))))))))) | (!! @ $i @ (^[Y0 : $i]: ((irel @ X2 @ Y0) => (a1 @ Y0)))))))) | ((irel @ sK1 @ X1) = $false) | (((~ (!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => ((~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b1 @ Y1))))) | (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a2 @ Y1))))))))) | (!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => (a1 @ Y0))))) = $true)) )),
% 28.14/4.08 inference(binary_proxy_clausification,[],[f588])).
% 28.14/4.08 thf(f752,plain,(
% 28.14/4.08 spl0_13 | spl0_13),
% 28.14/4.08 inference(avatar_split_clause,[],[f749,f236,f236])).
% 28.14/4.08 thf(f749,plain,(
% 28.14/4.08 ( ! [X2 : $i,X3 : $i,X1 : $i,X4 : $i] : (((a2 @ (sK9 @ X1)) = $false) | ((a2 @ (sK9 @ X2)) = $false) | ((irel @ sK1 @ X2) = $false) | ((a1 @ X3) = $true) | ((irel @ sK1 @ X1) = $false) | ((a1 @ X4) = $true) | ((irel @ X1 @ X3) = $false) | ((irel @ X2 @ X4) = $false)) )),
% 28.14/4.08 inference(binary_proxy_clausification,[],[f748])).
% 28.14/4.08 thf(f748,plain,(
% 28.14/4.08 ( ! [X2 : $i,X3 : $i,X1 : $i,X4 : $i] : (((a1 @ X4) = $true) | ((irel @ X2 @ X4) = $false) | ((irel @ X1 @ X3) = $false) | ((a1 @ X3) = $true) | ((irel @ sK1 @ X1) = $false) | (((irel @ (sK8 @ X2) @ (sK9 @ X2)) => (a2 @ (sK9 @ X2))) = $false) | ((irel @ sK1 @ X2) = $false) | ((a2 @ (sK9 @ X1)) = $false)) )),
% 28.14/4.08 inference(beta_eta_normalization,[],[f747])).
% 28.14/4.08 thf(f747,plain,(
% 28.14/4.08 ( ! [X2 : $i,X3 : $i,X1 : $i,X4 : $i] : (((a1 @ X3) = $true) | ((a2 @ (sK9 @ X1)) = $false) | ((a1 @ X4) = $true) | ((irel @ X2 @ X4) = $false) | ((irel @ X1 @ X3) = $false) | (((^[Y0 : $i]: ((irel @ (sK8 @ X2) @ Y0) => (a2 @ Y0))) @ (sK9 @ X2)) = $false) | ((irel @ sK1 @ X1) = $false) | ((irel @ sK1 @ X2) = $false)) )),
% 28.14/4.08 inference(sigma_clausification,[],[f740])).
% 28.14/4.08 thf(f740,plain,(
% 28.14/4.08 ( ! [X2 : $i,X3 : $i,X1 : $i,X4 : $i] : (((a1 @ X4) = $true) | ((!! @ $i @ (^[Y0 : $i]: ((irel @ (sK8 @ X2) @ Y0) => (a2 @ Y0)))) = $false) | ((a1 @ X3) = $true) | ((irel @ sK1 @ X1) = $false) | ((a2 @ (sK9 @ X1)) = $false) | ((irel @ sK1 @ X2) = $false) | ((irel @ X1 @ X3) = $false) | ((irel @ X2 @ X4) = $false)) )),
% 28.14/4.08 inference(binary_proxy_clausification,[],[f738])).
% 28.14/4.08 thf(f738,plain,(
% 28.14/4.08 ( ! [X2 : $i,X3 : $i,X1 : $i,X4 : $i] : (((irel @ X2 @ X4) = $false) | ((irel @ sK1 @ X2) = $false) | ((a2 @ (sK9 @ X1)) = $false) | (((~ (!! @ $i @ (^[Y0 : $i]: ((irel @ (sK8 @ X2) @ Y0) => (b1 @ Y0))))) | (!! @ $i @ (^[Y0 : $i]: ((irel @ (sK8 @ X2) @ Y0) => (a2 @ Y0))))) = $false) | ((irel @ sK1 @ X1) = $false) | ((a1 @ X3) = $true) | ((a1 @ X4) = $true) | ((irel @ X1 @ X3) = $false)) )),
% 28.14/4.08 inference(binary_proxy_clausification,[],[f737])).
% 28.14/4.08 thf(f737,plain,(
% 28.14/4.08 ( ! [X2 : $i,X3 : $i,X1 : $i,X4 : $i] : (((a1 @ X4) = $true) | ((a2 @ (sK9 @ X1)) = $false) | ((irel @ sK1 @ X2) = $false) | ((irel @ X2 @ X4) = $false) | ((a1 @ X3) = $true) | (((irel @ X2 @ (sK8 @ X2)) => ((~ (!! @ $i @ (^[Y0 : $i]: ((irel @ (sK8 @ X2) @ Y0) => (b1 @ Y0))))) | (!! @ $i @ (^[Y0 : $i]: ((irel @ (sK8 @ X2) @ Y0) => (a2 @ Y0)))))) = $false) | ((irel @ X1 @ X3) = $false) | ((irel @ sK1 @ X1) = $false)) )),
% 28.14/4.08 inference(beta_eta_normalization,[],[f736])).
% 28.14/4.08 thf(f736,plain,(
% 28.14/4.08 ( ! [X2 : $i,X3 : $i,X1 : $i,X4 : $i] : (((a1 @ X3) = $true) | ((irel @ sK1 @ X1) = $false) | ((irel @ X2 @ X4) = $false) | ((irel @ X1 @ X3) = $false) | (((^[Y0 : $i]: ((irel @ X2 @ Y0) => ((~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b1 @ Y1))))) | (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a2 @ Y1))))))) @ (sK8 @ X2)) = $false) | ((a2 @ (sK9 @ X1)) = $false) | ((irel @ sK1 @ X2) = $false) | ((a1 @ X4) = $true)) )),
% 28.14/4.08 inference(sigma_clausification,[],[f735])).
% 28.14/4.08 thf(f735,plain,(
% 28.14/4.08 ( ! [X2 : $i,X3 : $i,X1 : $i,X4 : $i] : (((a2 @ (sK9 @ X1)) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((irel @ X2 @ Y0) => ((~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b1 @ Y1))))) | (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a2 @ Y1)))))))) = $false) | ((irel @ X1 @ X3) = $false) | ((irel @ X2 @ X4) = $false) | ((a1 @ X4) = $true) | ((irel @ sK1 @ X2) = $false) | ((irel @ sK1 @ X1) = $false) | ((a1 @ X3) = $true)) )),
% 28.14/4.08 inference(not_proxy_clausification,[],[f734])).
% 28.14/4.08 thf(f734,plain,(
% 28.14/4.08 ( ! [X2 : $i,X3 : $i,X1 : $i,X4 : $i] : (((a1 @ X4) = $true) | ((a1 @ X3) = $true) | ((irel @ sK1 @ X2) = $false) | ((a2 @ (sK9 @ X1)) = $false) | ((irel @ X2 @ X4) = $false) | ((irel @ sK1 @ X1) = $false) | ((irel @ X1 @ X3) = $false) | ((~ (!! @ $i @ (^[Y0 : $i]: ((irel @ X2 @ Y0) => ((~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b1 @ Y1))))) | (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a2 @ Y1))))))))) = $true)) )),
% 28.14/4.08 inference(binary_proxy_clausification,[],[f712])).
% 28.14/4.08 thf(f712,plain,(
% 28.14/4.08 ( ! [X2 : $i,X3 : $i,X1 : $i,X4 : $i] : (((irel @ X2 @ X4) = $false) | ((irel @ sK1 @ X2) = $false) | ($true = ((irel @ X1 @ X3) => (a1 @ X3))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((irel @ X2 @ Y0) => ((~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b1 @ Y1))))) | (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a2 @ Y1))))))))) = $true) | ((irel @ sK1 @ X1) = $false) | ((a2 @ (sK9 @ X1)) = $false) | ((a1 @ X4) = $true)) )),
% 28.14/4.08 inference(binary_proxy_clausification,[],[f711])).
% 28.14/4.08 thf(f711,plain,(
% 28.14/4.08 ( ! [X2 : $i,X3 : $i,X1 : $i,X4 : $i] : (((a1 @ X4) = $true) | ((irel @ sK1 @ X1) = $false) | ((irel @ X2 @ X4) = $false) | ((irel @ sK1 @ X2) = $false) | (((irel @ (sK8 @ X1) @ (sK9 @ X1)) => (a2 @ (sK9 @ X1))) = $false) | ($true = ((irel @ X1 @ X3) => (a1 @ X3))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((irel @ X2 @ Y0) => ((~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b1 @ Y1))))) | (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a2 @ Y1))))))))) = $true)) )),
% 28.14/4.08 inference(binary_proxy_clausification,[],[f710])).
% 28.14/4.08 thf(f710,plain,(
% 28.14/4.08 ( ! [X2 : $i,X3 : $i,X1 : $i,X4 : $i] : (((irel @ sK1 @ X2) = $false) | (((irel @ X2 @ X4) => (a1 @ X4)) = $true) | ((irel @ sK1 @ X1) = $false) | ($true = ((irel @ X1 @ X3) => (a1 @ X3))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((irel @ X2 @ Y0) => ((~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b1 @ Y1))))) | (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a2 @ Y1))))))))) = $true) | (((irel @ (sK8 @ X1) @ (sK9 @ X1)) => (a2 @ (sK9 @ X1))) = $false)) )),
% 28.14/4.08 inference(beta_eta_normalization,[],[f709])).
% 28.14/4.08 thf(f709,plain,(
% 28.14/4.08 ( ! [X2 : $i,X3 : $i,X1 : $i,X4 : $i] : ((((^[Y0 : $i]: ((irel @ X2 @ Y0) => (a1 @ Y0))) @ X4) = $true) | (((irel @ (sK8 @ X1) @ (sK9 @ X1)) => (a2 @ (sK9 @ X1))) = $false) | ((irel @ sK1 @ X2) = $false) | ($true = ((irel @ X1 @ X3) => (a1 @ X3))) | ((irel @ sK1 @ X1) = $false) | ((~ (!! @ $i @ (^[Y0 : $i]: ((irel @ X2 @ Y0) => ((~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b1 @ Y1))))) | (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a2 @ Y1))))))))) = $true)) )),
% 28.14/4.08 inference(pi_clausification,[],[f708])).
% 28.14/4.08 thf(f708,plain,(
% 28.14/4.08 ( ! [X2 : $i,X3 : $i,X1 : $i] : (((irel @ sK1 @ X1) = $false) | ((irel @ sK1 @ X2) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((irel @ X2 @ Y0) => (a1 @ Y0)))) = $true) | (((irel @ (sK8 @ X1) @ (sK9 @ X1)) => (a2 @ (sK9 @ X1))) = $false) | ($true = ((irel @ X1 @ X3) => (a1 @ X3))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((irel @ X2 @ Y0) => ((~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b1 @ Y1))))) | (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a2 @ Y1))))))))) = $true)) )),
% 28.14/4.08 inference(beta_eta_normalization,[],[f707])).
% 28.14/4.08 thf(f707,plain,(
% 28.14/4.08 ( ! [X2 : $i,X3 : $i,X1 : $i] : (((!! @ $i @ (^[Y0 : $i]: ((irel @ X2 @ Y0) => (a1 @ Y0)))) = $true) | ((irel @ sK1 @ X1) = $false) | ($true = ((irel @ X1 @ X3) => (a1 @ X3))) | (((^[Y0 : $i]: ((irel @ (sK8 @ X1) @ Y0) => (a2 @ Y0))) @ (sK9 @ X1)) = $false) | ((~ (!! @ $i @ (^[Y0 : $i]: ((irel @ X2 @ Y0) => ((~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b1 @ Y1))))) | (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a2 @ Y1))))))))) = $true) | ((irel @ sK1 @ X2) = $false)) )),
% 28.14/4.08 inference(sigma_clausification,[],[f706])).
% 28.14/4.08 thf(f706,plain,(
% 28.14/4.08 ( ! [X2 : $i,X3 : $i,X1 : $i] : (((!! @ $i @ (^[Y0 : $i]: ((irel @ (sK8 @ X1) @ Y0) => (a2 @ Y0)))) = $false) | ((irel @ sK1 @ X2) = $false) | ($true = ((irel @ X1 @ X3) => (a1 @ X3))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((irel @ X2 @ Y0) => ((~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b1 @ Y1))))) | (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a2 @ Y1))))))))) = $true) | ((irel @ sK1 @ X1) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((irel @ X2 @ Y0) => (a1 @ Y0)))) = $true)) )),
% 28.14/4.08 inference(binary_proxy_clausification,[],[f704])).
% 28.14/4.08 thf(f704,plain,(
% 28.14/4.08 ( ! [X2 : $i,X3 : $i,X1 : $i] : ((((~ (!! @ $i @ (^[Y0 : $i]: ((irel @ X2 @ Y0) => ((~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b1 @ Y1))))) | (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a2 @ Y1))))))))) | (!! @ $i @ (^[Y0 : $i]: ((irel @ X2 @ Y0) => (a1 @ Y0))))) = $true) | ($true = ((irel @ X1 @ X3) => (a1 @ X3))) | ((irel @ sK1 @ X2) = $false) | ((irel @ sK1 @ X1) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((irel @ (sK8 @ X1) @ Y0) => (a2 @ Y0)))) = $false)) )),
% 28.14/4.08 inference(binary_proxy_clausification,[],[f702])).
% 28.14/4.08 thf(f702,plain,(
% 28.14/4.08 ( ! [X2 : $i,X3 : $i,X1 : $i] : (((irel @ sK1 @ X2) = $false) | (((~ (!! @ $i @ (^[Y0 : $i]: ((irel @ (sK8 @ X1) @ Y0) => (b1 @ Y0))))) | (!! @ $i @ (^[Y0 : $i]: ((irel @ (sK8 @ X1) @ Y0) => (a2 @ Y0))))) = $false) | ((irel @ sK1 @ X1) = $false) | (((~ (!! @ $i @ (^[Y0 : $i]: ((irel @ X2 @ Y0) => ((~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b1 @ Y1))))) | (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a2 @ Y1))))))))) | (!! @ $i @ (^[Y0 : $i]: ((irel @ X2 @ Y0) => (a1 @ Y0))))) = $true) | ($true = ((irel @ X1 @ X3) => (a1 @ X3)))) )),
% 28.14/4.08 inference(binary_proxy_clausification,[],[f701])).
% 28.14/4.08 thf(f733,plain,(
% 28.14/4.08 spl0_12 | spl0_12),
% 28.14/4.08 inference(avatar_split_clause,[],[f731,f232,f232])).
% 28.14/4.08 thf(f731,plain,(
% 28.14/4.08 ( ! [X2 : $i,X3 : $i,X1 : $i,X4 : $i] : (((irel @ (sK8 @ X1) @ (sK9 @ X1)) = $true) | ((irel @ sK1 @ X2) = $false) | ((irel @ sK1 @ X1) = $false) | ((irel @ X1 @ X3) = $false) | ((a1 @ X3) = $true) | ($true = (irel @ (sK8 @ X2) @ (sK9 @ X2))) | ((a1 @ X4) = $true) | ((irel @ X2 @ X4) = $false)) )),
% 28.14/4.08 inference(binary_proxy_clausification,[],[f729])).
% 28.14/4.08 thf(f729,plain,(
% 28.14/4.08 ( ! [X2 : $i,X3 : $i,X1 : $i,X4 : $i] : (((a1 @ X4) = $true) | ((irel @ X1 @ X3) = $false) | ((a1 @ X3) = $true) | ((irel @ (sK8 @ X1) @ (sK9 @ X1)) = $true) | ((irel @ X2 @ X4) = $false) | (((irel @ (sK8 @ X2) @ (sK9 @ X2)) => (a2 @ (sK9 @ X2))) = $false) | ((irel @ sK1 @ X1) = $false) | ((irel @ sK1 @ X2) = $false)) )),
% 28.14/4.08 inference(beta_eta_normalization,[],[f728])).
% 28.14/4.08 thf(f728,plain,(
% 28.14/4.08 ( ! [X2 : $i,X3 : $i,X1 : $i,X4 : $i] : (((irel @ X2 @ X4) = $false) | ((a1 @ X3) = $true) | (((^[Y0 : $i]: ((irel @ (sK8 @ X2) @ Y0) => (a2 @ Y0))) @ (sK9 @ X2)) = $false) | ((a1 @ X4) = $true) | ((irel @ X1 @ X3) = $false) | ((irel @ sK1 @ X1) = $false) | ((irel @ (sK8 @ X1) @ (sK9 @ X1)) = $true) | ((irel @ sK1 @ X2) = $false)) )),
% 28.14/4.08 inference(sigma_clausification,[],[f721])).
% 28.14/4.08 thf(f721,plain,(
% 28.14/4.08 ( ! [X2 : $i,X3 : $i,X1 : $i,X4 : $i] : (((irel @ sK1 @ X2) = $false) | ((irel @ X2 @ X4) = $false) | ((irel @ (sK8 @ X1) @ (sK9 @ X1)) = $true) | ((a1 @ X4) = $true) | ((a1 @ X3) = $true) | ((irel @ X1 @ X3) = $false) | ((irel @ sK1 @ X1) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((irel @ (sK8 @ X2) @ Y0) => (a2 @ Y0)))) = $false)) )),
% 28.14/4.08 inference(binary_proxy_clausification,[],[f718])).
% 28.14/4.08 thf(f718,plain,(
% 28.14/4.08 ( ! [X2 : $i,X3 : $i,X1 : $i,X4 : $i] : (((a1 @ X4) = $true) | ((irel @ sK1 @ X1) = $false) | ((irel @ (sK8 @ X1) @ (sK9 @ X1)) = $true) | ((irel @ X2 @ X4) = $false) | (((~ (!! @ $i @ (^[Y0 : $i]: ((irel @ (sK8 @ X2) @ Y0) => (b1 @ Y0))))) | (!! @ $i @ (^[Y0 : $i]: ((irel @ (sK8 @ X2) @ Y0) => (a2 @ Y0))))) = $false) | ((a1 @ X3) = $true) | ((irel @ X1 @ X3) = $false) | ((irel @ sK1 @ X2) = $false)) )),
% 28.14/4.08 inference(binary_proxy_clausification,[],[f717])).
% 28.14/4.08 thf(f717,plain,(
% 28.14/4.08 ( ! [X2 : $i,X3 : $i,X1 : $i,X4 : $i] : (((irel @ (sK8 @ X1) @ (sK9 @ X1)) = $true) | (((irel @ X2 @ (sK8 @ X2)) => ((~ (!! @ $i @ (^[Y0 : $i]: ((irel @ (sK8 @ X2) @ Y0) => (b1 @ Y0))))) | (!! @ $i @ (^[Y0 : $i]: ((irel @ (sK8 @ X2) @ Y0) => (a2 @ Y0)))))) = $false) | ((a1 @ X4) = $true) | ((a1 @ X3) = $true) | ((irel @ sK1 @ X2) = $false) | ((irel @ X1 @ X3) = $false) | ((irel @ X2 @ X4) = $false) | ((irel @ sK1 @ X1) = $false)) )),
% 28.14/4.08 inference(beta_eta_normalization,[],[f716])).
% 28.14/4.08 thf(f716,plain,(
% 28.14/4.08 ( ! [X2 : $i,X3 : $i,X1 : $i,X4 : $i] : (((irel @ X1 @ X3) = $false) | ((irel @ X2 @ X4) = $false) | ((a1 @ X3) = $true) | ((irel @ sK1 @ X2) = $false) | ((a1 @ X4) = $true) | ((irel @ sK1 @ X1) = $false) | (((^[Y0 : $i]: ((irel @ X2 @ Y0) => ((~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b1 @ Y1))))) | (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a2 @ Y1))))))) @ (sK8 @ X2)) = $false) | ((irel @ (sK8 @ X1) @ (sK9 @ X1)) = $true)) )),
% 28.14/4.08 inference(sigma_clausification,[],[f715])).
% 28.14/4.08 thf(f715,plain,(
% 28.14/4.08 ( ! [X2 : $i,X3 : $i,X1 : $i,X4 : $i] : (((a1 @ X3) = $true) | ((irel @ X1 @ X3) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((irel @ X2 @ Y0) => ((~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b1 @ Y1))))) | (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a2 @ Y1)))))))) = $false) | ((irel @ sK1 @ X2) = $false) | ((irel @ sK1 @ X1) = $false) | ((a1 @ X4) = $true) | ((irel @ (sK8 @ X1) @ (sK9 @ X1)) = $true) | ((irel @ X2 @ X4) = $false)) )),
% 28.14/4.08 inference(not_proxy_clausification,[],[f714])).
% 28.14/4.08 thf(f714,plain,(
% 28.14/4.08 ( ! [X2 : $i,X3 : $i,X1 : $i,X4 : $i] : (((irel @ sK1 @ X1) = $false) | ((irel @ (sK8 @ X1) @ (sK9 @ X1)) = $true) | ((irel @ X1 @ X3) = $false) | ((a1 @ X4) = $true) | ((a1 @ X3) = $true) | ((irel @ sK1 @ X2) = $false) | ((~ (!! @ $i @ (^[Y0 : $i]: ((irel @ X2 @ Y0) => ((~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b1 @ Y1))))) | (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a2 @ Y1))))))))) = $true) | ((irel @ X2 @ X4) = $false)) )),
% 28.14/4.08 inference(binary_proxy_clausification,[],[f713])).
% 28.14/4.08 thf(f713,plain,(
% 28.14/4.08 ( ! [X2 : $i,X3 : $i,X1 : $i,X4 : $i] : (((irel @ sK1 @ X2) = $false) | ((irel @ sK1 @ X1) = $false) | ((irel @ X2 @ X4) = $false) | ((a1 @ X4) = $true) | ($true = ((irel @ X1 @ X3) => (a1 @ X3))) | ((irel @ (sK8 @ X1) @ (sK9 @ X1)) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((irel @ X2 @ Y0) => ((~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b1 @ Y1))))) | (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a2 @ Y1))))))))) = $true)) )),
% 28.14/4.08 inference(binary_proxy_clausification,[],[f711])).
% 28.14/4.08 thf(f443,plain,(
% 28.14/4.08 spl0_2 | spl0_2),
% 28.14/4.08 inference(avatar_split_clause,[],[f442,f133,f133])).
% 28.14/4.08 thf(f442,plain,(
% 28.14/4.08 ( ! [X2 : $i,X3 : $i,X1 : $i,X4 : $i] : (((irel @ sK1 @ X1) = $false) | ((irel @ sK1 @ X2) = $false) | ((irel @ X1 @ (sK3 @ X1)) = $true) | ((irel @ X1 @ X4) = $false) | ((irel @ X2 @ (sK3 @ X2)) = $true) | ((irel @ X2 @ X3) = $false) | ($true = (f @ X4)) | ((f @ X3) = $true)) )),
% 28.14/4.08 inference(binary_proxy_clausification,[],[f441])).
% 28.14/4.08 thf(f441,plain,(
% 28.14/4.08 ( ! [X2 : $i,X3 : $i,X1 : $i,X4 : $i] : (((irel @ X2 @ X3) = $false) | (((irel @ X1 @ X4) => (f @ X4)) = $true) | ((irel @ sK1 @ X2) = $false) | ((irel @ X1 @ (sK3 @ X1)) = $true) | ((f @ X3) = $true) | ((irel @ X2 @ (sK3 @ X2)) = $true) | ((irel @ sK1 @ X1) = $false)) )),
% 28.14/4.08 inference(binary_proxy_clausification,[],[f439])).
% 28.14/4.08 thf(f439,plain,(
% 28.14/4.08 ( ! [X2 : $i,X3 : $i,X1 : $i,X4 : $i] : (((irel @ sK1 @ X2) = $false) | (((irel @ X1 @ (sK3 @ X1)) => (a0 @ (sK3 @ X1))) = $false) | ((irel @ X2 @ X3) = $false) | (((irel @ X1 @ X4) => (f @ X4)) = $true) | ((irel @ X2 @ (sK3 @ X2)) = $true) | ((f @ X3) = $true) | ((irel @ sK1 @ X1) = $false)) )),
% 28.14/4.08 inference(beta_eta_normalization,[],[f438])).
% 28.14/4.08 thf(f438,plain,(
% 28.14/4.08 ( ! [X2 : $i,X3 : $i,X1 : $i,X4 : $i] : (((irel @ sK1 @ X2) = $false) | ((irel @ X2 @ (sK3 @ X2)) = $true) | (((irel @ X1 @ X4) => (f @ X4)) = $true) | ((irel @ X2 @ X3) = $false) | (((^[Y0 : $i]: ((irel @ X1 @ Y0) => (a0 @ Y0))) @ (sK3 @ X1)) = $false) | ((irel @ sK1 @ X1) = $false) | ((f @ X3) = $true)) )),
% 28.14/4.08 inference(sigma_clausification,[],[f437])).
% 28.14/4.08 thf(f437,plain,(
% 28.14/4.08 ( ! [X2 : $i,X3 : $i,X1 : $i,X4 : $i] : (((irel @ sK1 @ X1) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => (a0 @ Y0)))) = $false) | ((irel @ X2 @ X3) = $false) | ((irel @ sK1 @ X2) = $false) | ((f @ X3) = $true) | (((irel @ X1 @ X4) => (f @ X4)) = $true) | ((irel @ X2 @ (sK3 @ X2)) = $true)) )),
% 28.14/4.08 inference(beta_eta_normalization,[],[f436])).
% 28.14/4.08 thf(f436,plain,(
% 28.14/4.08 ( ! [X2 : $i,X3 : $i,X1 : $i,X4 : $i] : (((f @ X3) = $true) | ($true = ((^[Y0 : $i]: ((irel @ X1 @ Y0) => (f @ Y0))) @ X4)) | ((irel @ sK1 @ X1) = $false) | ((irel @ X2 @ (sK3 @ X2)) = $true) | ((irel @ X2 @ X3) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => (a0 @ Y0)))) = $false) | ((irel @ sK1 @ X2) = $false)) )),
% 28.14/4.08 inference(pi_clausification,[],[f435])).
% 28.14/4.08 thf(f435,plain,(
% 28.14/4.08 ( ! [X2 : $i,X3 : $i,X1 : $i] : (((!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => (f @ Y0)))) = $true) | ((irel @ sK1 @ X1) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => (a0 @ Y0)))) = $false) | ((irel @ X2 @ X3) = $false) | ((f @ X3) = $true) | ((irel @ sK1 @ X2) = $false) | ((irel @ X2 @ (sK3 @ X2)) = $true)) )),
% 28.14/4.08 inference(not_proxy_clausification,[],[f434])).
% 28.14/4.08 thf(f434,plain,(
% 28.14/4.08 ( ! [X2 : $i,X3 : $i,X1 : $i] : (($true = (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => (a0 @ Y0)))))) | ((irel @ sK1 @ X2) = $false) | ((irel @ sK1 @ X1) = $false) | ((irel @ X2 @ (sK3 @ X2)) = $true) | ((f @ X3) = $true) | ((!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => (f @ Y0)))) = $true) | ((irel @ X2 @ X3) = $false)) )),
% 28.14/4.08 inference(binary_proxy_clausification,[],[f432])).
% 28.14/4.08 thf(f432,plain,(
% 28.14/4.08 ( ! [X2 : $i,X3 : $i,X1 : $i] : (((irel @ sK1 @ X1) = $false) | ((irel @ sK1 @ X2) = $false) | ((irel @ X2 @ (sK3 @ X2)) = $true) | ((f @ X3) = $true) | ((irel @ X2 @ X3) = $false) | (((~ (!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => (a0 @ Y0))))) | (!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => (f @ Y0))))) = $true)) )),
% 28.14/4.08 inference(binary_proxy_clausification,[],[f431])).
% 28.14/4.08 thf(f431,plain,(
% 28.14/4.08 ( ! [X2 : $i,X3 : $i,X1 : $i] : (((irel @ X2 @ X3) = $false) | ((irel @ sK1 @ X2) = $false) | ($true = (((~ (!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => ((~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b2 @ Y1))))) | (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b0 @ Y1))))))))) | (!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => (a2 @ Y0))))) & ((~ (!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => (a0 @ Y0))))) | (!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => (f @ Y0))))))) | ((irel @ sK1 @ X1) = $false) | ((irel @ X2 @ (sK3 @ X2)) = $true) | ((f @ X3) = $true)) )),
% 28.14/4.08 inference(binary_proxy_clausification,[],[f392])).
% 28.14/4.08 thf(f392,plain,(
% 28.14/4.08 ( ! [X2 : $i,X3 : $i,X1 : $i] : (((irel @ sK1 @ X1) = $false) | ((irel @ X2 @ (sK3 @ X2)) = $true) | ($true = ((irel @ X2 @ X3) => (f @ X3))) | ($true = (((~ (!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => ((~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b2 @ Y1))))) | (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b0 @ Y1))))))))) | (!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => (a2 @ Y0))))) & ((~ (!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => (a0 @ Y0))))) | (!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => (f @ Y0))))))) | ((irel @ sK1 @ X2) = $false)) )),
% 28.14/4.08 inference(binary_proxy_clausification,[],[f390])).
% 28.14/4.08 thf(f390,plain,(
% 28.14/4.08 ( ! [X2 : $i,X3 : $i,X1 : $i] : (((irel @ sK1 @ X1) = $false) | (((irel @ X2 @ (sK3 @ X2)) => (a0 @ (sK3 @ X2))) = $false) | ($true = (((~ (!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => ((~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b2 @ Y1))))) | (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b0 @ Y1))))))))) | (!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => (a2 @ Y0))))) & ((~ (!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => (a0 @ Y0))))) | (!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => (f @ Y0))))))) | ((irel @ sK1 @ X2) = $false) | ($true = ((irel @ X2 @ X3) => (f @ X3)))) )),
% 28.14/4.08 inference(beta_eta_normalization,[],[f389])).
% 28.14/4.08 thf(f389,plain,(
% 28.14/4.08 ( ! [X2 : $i,X3 : $i,X1 : $i] : (((irel @ sK1 @ X2) = $false) | ((irel @ sK1 @ X1) = $false) | (((^[Y0 : $i]: ((irel @ X2 @ Y0) => (f @ Y0))) @ X3) = $true) | ($true = (((~ (!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => ((~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b2 @ Y1))))) | (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b0 @ Y1))))))))) | (!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => (a2 @ Y0))))) & ((~ (!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => (a0 @ Y0))))) | (!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => (f @ Y0))))))) | (((irel @ X2 @ (sK3 @ X2)) => (a0 @ (sK3 @ X2))) = $false)) )),
% 28.14/4.08 inference(pi_clausification,[],[f388])).
% 28.14/4.08 thf(f388,plain,(
% 28.14/4.08 ( ! [X2 : $i,X1 : $i] : (((irel @ sK1 @ X2) = $false) | ($true = (!! @ $i @ (^[Y0 : $i]: ((irel @ X2 @ Y0) => (f @ Y0))))) | (((irel @ X2 @ (sK3 @ X2)) => (a0 @ (sK3 @ X2))) = $false) | ($true = (((~ (!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => ((~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b2 @ Y1))))) | (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b0 @ Y1))))))))) | (!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => (a2 @ Y0))))) & ((~ (!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => (a0 @ Y0))))) | (!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => (f @ Y0))))))) | ((irel @ sK1 @ X1) = $false)) )),
% 28.14/4.08 inference(beta_eta_normalization,[],[f387])).
% 28.14/4.08 thf(f387,plain,(
% 28.14/4.08 ( ! [X2 : $i,X1 : $i] : (($true = (((~ (!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => ((~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b2 @ Y1))))) | (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b0 @ Y1))))))))) | (!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => (a2 @ Y0))))) & ((~ (!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => (a0 @ Y0))))) | (!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => (f @ Y0))))))) | ($true = (!! @ $i @ (^[Y0 : $i]: ((irel @ X2 @ Y0) => (f @ Y0))))) | (((^[Y0 : $i]: ((irel @ X2 @ Y0) => (a0 @ Y0))) @ (sK3 @ X2)) = $false) | ((irel @ sK1 @ X1) = $false) | ((irel @ sK1 @ X2) = $false)) )),
% 28.14/4.08 inference(sigma_clausification,[],[f385])).
% 28.14/4.08 thf(f385,plain,(
% 28.14/4.08 ( ! [X2 : $i,X1 : $i] : (((!! @ $i @ (^[Y0 : $i]: ((irel @ X2 @ Y0) => (a0 @ Y0)))) = $false) | ($true = (!! @ $i @ (^[Y0 : $i]: ((irel @ X2 @ Y0) => (f @ Y0))))) | ($true = (((~ (!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => ((~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b2 @ Y1))))) | (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b0 @ Y1))))))))) | (!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => (a2 @ Y0))))) & ((~ (!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => (a0 @ Y0))))) | (!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => (f @ Y0))))))) | ((irel @ sK1 @ X1) = $false) | ((irel @ sK1 @ X2) = $false)) )),
% 28.14/4.08 inference(binary_proxy_clausification,[],[f383])).
% 28.14/4.08 thf(f383,plain,(
% 28.14/4.08 ( ! [X2 : $i,X1 : $i] : (((((~ (!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => ((~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b0 @ Y1))))) | (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a1 @ Y1))))))))) | (!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => (a0 @ Y0))))) & (((~ (!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => ((~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b2 @ Y1))))) | (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b0 @ Y1))))))))) | (!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => (a2 @ Y0))))) & ((~ (!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => (a0 @ Y0))))) | (!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => (f @ Y0))))))) = $true) | ((irel @ sK1 @ X1) = $false) | ($true = (!! @ $i @ (^[Y0 : $i]: ((irel @ X2 @ Y0) => (f @ Y0))))) | ((irel @ sK1 @ X2) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((irel @ X2 @ Y0) => (a0 @ Y0)))) = $false)) )),
% 28.14/4.08 inference(binary_proxy_clausification,[],[f382])).
% 28.14/4.08 thf(f382,plain,(
% 28.14/4.08 ( ! [X2 : $i,X1 : $i] : (($true = (((~ (!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => ((~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b1 @ Y1))))) | (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a2 @ Y1))))))))) | (!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => (a1 @ Y0))))) & (((~ (!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => ((~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b0 @ Y1))))) | (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a1 @ Y1))))))))) | (!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => (a0 @ Y0))))) & (((~ (!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => ((~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b2 @ Y1))))) | (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b0 @ Y1))))))))) | (!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => (a2 @ Y0))))) & ((~ (!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => (a0 @ Y0))))) | (!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => (f @ Y0))))))))) | ((irel @ sK1 @ X1) = $false) | ($true = (!! @ $i @ (^[Y0 : $i]: ((irel @ X2 @ Y0) => (f @ Y0))))) | ((irel @ sK1 @ X2) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((irel @ X2 @ Y0) => (a0 @ Y0)))) = $false)) )),
% 28.14/4.08 inference(not_proxy_clausification,[],[f381])).
% 28.14/4.08 thf(f381,plain,(
% 28.14/4.08 ( ! [X2 : $i,X1 : $i] : (((irel @ sK1 @ X1) = $false) | ((~ (!! @ $i @ (^[Y0 : $i]: ((irel @ X2 @ Y0) => (a0 @ Y0))))) = $true) | ($true = (((~ (!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => ((~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b1 @ Y1))))) | (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a2 @ Y1))))))))) | (!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => (a1 @ Y0))))) & (((~ (!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => ((~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b0 @ Y1))))) | (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a1 @ Y1))))))))) | (!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => (a0 @ Y0))))) & (((~ (!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => ((~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b2 @ Y1))))) | (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b0 @ Y1))))))))) | (!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => (a2 @ Y0))))) & ((~ (!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => (a0 @ Y0))))) | (!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => (f @ Y0))))))))) | ($true = (!! @ $i @ (^[Y0 : $i]: ((irel @ X2 @ Y0) => (f @ Y0))))) | ((irel @ sK1 @ X2) = $false)) )),
% 28.14/4.08 inference(binary_proxy_clausification,[],[f380])).
% 28.14/4.08 thf(f380,plain,(
% 28.14/4.08 ( ! [X2 : $i,X1 : $i] : ((((~ (!! @ $i @ (^[Y0 : $i]: ((irel @ X2 @ Y0) => (a0 @ Y0))))) | (!! @ $i @ (^[Y0 : $i]: ((irel @ X2 @ Y0) => (f @ Y0))))) = $true) | ((irel @ sK1 @ X2) = $false) | ((irel @ sK1 @ X1) = $false) | ($true = (((~ (!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => ((~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b1 @ Y1))))) | (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a2 @ Y1))))))))) | (!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => (a1 @ Y0))))) & (((~ (!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => ((~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b0 @ Y1))))) | (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a1 @ Y1))))))))) | (!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => (a0 @ Y0))))) & (((~ (!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => ((~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b2 @ Y1))))) | (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b0 @ Y1))))))))) | (!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => (a2 @ Y0))))) & ((~ (!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => (a0 @ Y0))))) | (!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => (f @ Y0)))))))))) )),
% 28.14/4.08 inference(binary_proxy_clausification,[],[f379])).
% 28.14/4.08 thf(f379,plain,(
% 28.14/4.08 ( ! [X2 : $i,X1 : $i] : (((irel @ sK1 @ X2) = $false) | (((irel @ sK1 @ X1) => (((~ (!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => ((~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b1 @ Y1))))) | (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a2 @ Y1))))))))) | (!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => (a1 @ Y0))))) & (((~ (!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => ((~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b0 @ Y1))))) | (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a1 @ Y1))))))))) | (!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => (a0 @ Y0))))) & (((~ (!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => ((~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b2 @ Y1))))) | (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b0 @ Y1))))))))) | (!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => (a2 @ Y0))))) & ((~ (!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => (a0 @ Y0))))) | (!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => (f @ Y0))))))))) = $true) | (((~ (!! @ $i @ (^[Y0 : $i]: ((irel @ X2 @ Y0) => (a0 @ Y0))))) | (!! @ $i @ (^[Y0 : $i]: ((irel @ X2 @ Y0) => (f @ Y0))))) = $true)) )),
% 28.14/4.08 inference(binary_proxy_clausification,[],[f377])).
% 28.14/4.08 thf(f405,plain,(
% 28.14/4.08 spl0_3 | spl0_3),
% 28.14/4.08 inference(avatar_split_clause,[],[f404,f137,f137])).
% 28.14/4.08 thf(f404,plain,(
% 28.14/4.08 ( ! [X2 : $i,X3 : $i,X1 : $i,X4 : $i] : (($true = (f @ X4)) | ((irel @ X1 @ X4) = $false) | ((a0 @ (sK3 @ X1)) = $false) | ((irel @ X2 @ X3) = $false) | ((irel @ sK1 @ X1) = $false) | ((irel @ sK1 @ X2) = $false) | ((f @ X3) = $true) | ((a0 @ (sK3 @ X2)) = $false)) )),
% 28.14/4.08 inference(binary_proxy_clausification,[],[f402])).
% 28.14/4.08 thf(f402,plain,(
% 28.14/4.08 ( ! [X2 : $i,X3 : $i,X1 : $i,X4 : $i] : (((a0 @ (sK3 @ X2)) = $false) | (((irel @ X1 @ X4) => (f @ X4)) = $true) | ((f @ X3) = $true) | ((irel @ X2 @ X3) = $false) | ((a0 @ (sK3 @ X1)) = $false) | ((irel @ sK1 @ X2) = $false) | ((irel @ sK1 @ X1) = $false)) )),
% 28.14/4.08 inference(binary_proxy_clausification,[],[f401])).
% 28.14/4.08 thf(f401,plain,(
% 28.14/4.08 ( ! [X2 : $i,X3 : $i,X1 : $i,X4 : $i] : (((irel @ sK1 @ X1) = $false) | ((a0 @ (sK3 @ X2)) = $false) | (((irel @ X1 @ (sK3 @ X1)) => (a0 @ (sK3 @ X1))) = $false) | ((irel @ X2 @ X3) = $false) | ((f @ X3) = $true) | (((irel @ X1 @ X4) => (f @ X4)) = $true) | ((irel @ sK1 @ X2) = $false)) )),
% 28.14/4.08 inference(beta_eta_normalization,[],[f400])).
% 28.14/4.08 thf(f400,plain,(
% 28.14/4.08 ( ! [X2 : $i,X3 : $i,X1 : $i,X4 : $i] : (((irel @ sK1 @ X1) = $false) | ((a0 @ (sK3 @ X2)) = $false) | ((f @ X3) = $true) | ((irel @ sK1 @ X2) = $false) | ((irel @ X2 @ X3) = $false) | (((irel @ X1 @ (sK3 @ X1)) => (a0 @ (sK3 @ X1))) = $false) | ($true = ((^[Y0 : $i]: ((irel @ X1 @ Y0) => (f @ Y0))) @ X4))) )),
% 28.14/4.08 inference(pi_clausification,[],[f399])).
% 28.14/4.08 thf(f399,plain,(
% 28.14/4.08 ( ! [X2 : $i,X3 : $i,X1 : $i] : (((irel @ sK1 @ X2) = $false) | ((irel @ X2 @ X3) = $false) | ((irel @ sK1 @ X1) = $false) | ((a0 @ (sK3 @ X2)) = $false) | ((f @ X3) = $true) | ((!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => (f @ Y0)))) = $true) | (((irel @ X1 @ (sK3 @ X1)) => (a0 @ (sK3 @ X1))) = $false)) )),
% 28.14/4.08 inference(beta_eta_normalization,[],[f398])).
% 28.14/4.08 thf(f398,plain,(
% 28.14/4.08 ( ! [X2 : $i,X3 : $i,X1 : $i] : (((irel @ sK1 @ X1) = $false) | ((f @ X3) = $true) | ((a0 @ (sK3 @ X2)) = $false) | (((^[Y0 : $i]: ((irel @ X1 @ Y0) => (a0 @ Y0))) @ (sK3 @ X1)) = $false) | ((irel @ sK1 @ X2) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => (f @ Y0)))) = $true) | ((irel @ X2 @ X3) = $false)) )),
% 28.14/4.08 inference(sigma_clausification,[],[f397])).
% 28.14/4.08 thf(f397,plain,(
% 28.14/4.08 ( ! [X2 : $i,X3 : $i,X1 : $i] : (((irel @ X2 @ X3) = $false) | ((a0 @ (sK3 @ X2)) = $false) | ((irel @ sK1 @ X1) = $false) | ((irel @ sK1 @ X2) = $false) | ((f @ X3) = $true) | ((!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => (a0 @ Y0)))) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => (f @ Y0)))) = $true)) )),
% 28.14/4.08 inference(not_proxy_clausification,[],[f396])).
% 28.14/4.08 thf(f396,plain,(
% 28.14/4.08 ( ! [X2 : $i,X3 : $i,X1 : $i] : (((irel @ sK1 @ X1) = $false) | ((f @ X3) = $true) | ($true = (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => (a0 @ Y0)))))) | ((a0 @ (sK3 @ X2)) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => (f @ Y0)))) = $true) | ((irel @ X2 @ X3) = $false) | ((irel @ sK1 @ X2) = $false)) )),
% 28.14/4.08 inference(binary_proxy_clausification,[],[f394])).
% 28.14/4.08 thf(f394,plain,(
% 28.14/4.08 ( ! [X2 : $i,X3 : $i,X1 : $i] : (((irel @ sK1 @ X2) = $false) | ((irel @ X2 @ X3) = $false) | (((~ (!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => (a0 @ Y0))))) | (!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => (f @ Y0))))) = $true) | ((a0 @ (sK3 @ X2)) = $false) | ((f @ X3) = $true) | ((irel @ sK1 @ X1) = $false)) )),
% 28.14/4.08 inference(binary_proxy_clausification,[],[f393])).
% 28.14/4.08 thf(f393,plain,(
% 28.14/4.08 ( ! [X2 : $i,X3 : $i,X1 : $i] : (((irel @ sK1 @ X1) = $false) | ((irel @ X2 @ X3) = $false) | ((a0 @ (sK3 @ X2)) = $false) | ((f @ X3) = $true) | ((irel @ sK1 @ X2) = $false) | ($true = (((~ (!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => ((~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b2 @ Y1))))) | (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b0 @ Y1))))))))) | (!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => (a2 @ Y0))))) & ((~ (!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => (a0 @ Y0))))) | (!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => (f @ Y0)))))))) )),
% 28.14/4.08 inference(binary_proxy_clausification,[],[f391])).
% 28.14/4.08 thf(f391,plain,(
% 28.14/4.08 ( ! [X2 : $i,X3 : $i,X1 : $i] : (((irel @ sK1 @ X1) = $false) | ((a0 @ (sK3 @ X2)) = $false) | ((irel @ sK1 @ X2) = $false) | ($true = ((irel @ X2 @ X3) => (f @ X3))) | ($true = (((~ (!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => ((~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b2 @ Y1))))) | (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b0 @ Y1))))))))) | (!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => (a2 @ Y0))))) & ((~ (!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => (a0 @ Y0))))) | (!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => (f @ Y0)))))))) )),
% 28.14/4.08 inference(binary_proxy_clausification,[],[f390])).
% 28.14/4.08 % SZS output end Proof for theBenchmark
% 28.14/4.08 % (20135)------------------------------
% 28.14/4.08 % (20135)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 28.14/4.08 % (20135)Termination reason: Refutation
% 28.14/4.08
% 28.14/4.08 % (20135)Memory used [KB]: 13560
% 28.14/4.08 % (20135)Time elapsed: 0.588 s
% 28.14/4.08 % (20135)Instructions burned: 1749 (million)
% 28.14/4.08 % (20135)------------------------------
% 28.14/4.08 % (20135)------------------------------
% 28.14/4.08 % (19740)Success in time 3.726 s
% 28.14/4.08 % Vampire---4.8 exiting
%------------------------------------------------------------------------------