TSTP Solution File: SYO069^4.003 by Vampire---4.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SYO069^4.003 : 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/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% Computer : n007.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 46.32s 6.21s
% Output : Refutation 46.32s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13 % Problem : SYO069^4.003 : TPTP v8.2.0. Released v4.0.0.
% 0.13/0.15 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.15/0.36 % Computer : n007.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Mon May 20 11:03:38 EDT 2024
% 0.15/0.37 % CPUTime :
% 0.15/0.37 This is a TH0_THM_EQU_NAR problem
% 0.15/0.37 Running vampire_ho --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_hol --cores 8 -m 12000 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.15/0.40 % (12480)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on theBenchmark for (2999ds/183Mi)
% 0.15/0.40 % (12482)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)
% 0.15/0.40 % (12483)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.15/0.40 % (12484)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)
% 0.15/0.40 % (12485)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)
% 0.15/0.40 % (12481)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)
% 0.15/0.40 % (12486)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on theBenchmark for (2999ds/18Mi)
% 0.15/0.40 % (12487)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)
% 0.15/0.40 % (12483)Instruction limit reached!
% 0.15/0.40 % (12483)------------------------------
% 0.15/0.40 % (12483)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.40 % (12483)Termination reason: Unknown
% 0.15/0.40 % (12483)Termination phase: shuffling
% 0.15/0.40
% 0.15/0.40 % (12484)Instruction limit reached!
% 0.15/0.40 % (12484)------------------------------
% 0.15/0.40 % (12484)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.40 % (12484)Termination reason: Unknown
% 0.15/0.40 % (12484)Termination phase: shuffling
% 0.15/0.40
% 0.15/0.40 % (12484)Memory used [KB]: 1023
% 0.15/0.40 % (12484)Time elapsed: 0.004 s
% 0.15/0.40 % (12484)Instructions burned: 2 (million)
% 0.15/0.40 % (12484)------------------------------
% 0.15/0.40 % (12484)------------------------------
% 0.15/0.40 % (12483)Memory used [KB]: 1023
% 0.15/0.40 % (12483)Time elapsed: 0.004 s
% 0.15/0.40 % (12483)Instructions burned: 2 (million)
% 0.15/0.40 % (12483)------------------------------
% 0.15/0.40 % (12483)------------------------------
% 0.15/0.40 % (12487)Instruction limit reached!
% 0.15/0.40 % (12487)------------------------------
% 0.15/0.40 % (12487)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.40 % (12487)Termination reason: Unknown
% 0.15/0.40 % (12487)Termination phase: shuffling
% 0.15/0.40
% 0.15/0.40 % (12487)Memory used [KB]: 1023
% 0.15/0.40 % (12487)Time elapsed: 0.005 s
% 0.15/0.40 % (12487)Instructions burned: 3 (million)
% 0.15/0.40 % (12487)------------------------------
% 0.15/0.40 % (12487)------------------------------
% 0.15/0.41 % (12481)Instruction limit reached!
% 0.15/0.41 % (12481)------------------------------
% 0.15/0.41 % (12481)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.41 % (12481)Termination reason: Unknown
% 0.15/0.41 % (12481)Termination phase: Property scanning
% 0.15/0.41
% 0.15/0.41 % (12481)Memory used [KB]: 1023
% 0.15/0.41 % (12481)Time elapsed: 0.006 s
% 0.15/0.41 % (12481)Instructions burned: 4 (million)
% 0.15/0.41 % (12481)------------------------------
% 0.15/0.41 % (12481)------------------------------
% 0.15/0.41 % (12485)Refutation not found, incomplete strategy
% 0.15/0.41 % (12485)------------------------------
% 0.15/0.41 % (12485)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.41 % (12485)Termination reason: Refutation not found, incomplete strategy
% 0.15/0.41
% 0.15/0.41
% 0.15/0.41 % (12485)Memory used [KB]: 5500
% 0.15/0.41 % (12485)Time elapsed: 0.010 s
% 0.15/0.41 % (12485)Instructions burned: 8 (million)
% 0.15/0.41 % (12485)------------------------------
% 0.15/0.41 % (12485)------------------------------
% 0.15/0.42 % (12486)Instruction limit reached!
% 0.15/0.42 % (12486)------------------------------
% 0.15/0.42 % (12486)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.42 % (12486)Termination reason: Unknown
% 0.15/0.42 % (12486)Termination phase: Saturation
% 0.15/0.42
% 0.15/0.42 % (12486)Memory used [KB]: 5500
% 0.15/0.42 % (12486)Time elapsed: 0.016 s
% 0.15/0.42 % (12486)Instructions burned: 18 (million)
% 0.15/0.42 % (12486)------------------------------
% 0.15/0.42 % (12486)------------------------------
% 0.15/0.42 % (12482)Instruction limit reached!
% 0.15/0.42 % (12482)------------------------------
% 0.15/0.42 % (12482)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.42 % (12482)Termination reason: Unknown
% 0.15/0.42 % (12482)Termination phase: Saturation
% 0.15/0.42
% 0.15/0.42 % (12482)Memory used [KB]: 5628
% 0.15/0.42 % (12482)Time elapsed: 0.023 s
% 0.15/0.42 % (12482)Instructions burned: 28 (million)
% 0.15/0.42 % (12482)------------------------------
% 0.15/0.42 % (12482)------------------------------
% 0.15/0.43 % (12488)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)
% 0.15/0.43 % (12489)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)
% 0.15/0.43 % (12490)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)
% 0.15/0.43 % (12490)Instruction limit reached!
% 0.15/0.43 % (12490)------------------------------
% 0.15/0.43 % (12490)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.43 % (12491)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)
% 0.15/0.43 % (12490)Termination reason: Unknown
% 0.15/0.43 % (12490)Termination phase: shuffling
% 0.15/0.43
% 0.15/0.43 % (12490)Memory used [KB]: 1023
% 0.15/0.43 % (12490)Time elapsed: 0.005 s
% 0.15/0.43 % (12490)Instructions burned: 3 (million)
% 0.15/0.43 % (12490)------------------------------
% 0.15/0.43 % (12490)------------------------------
% 0.23/0.44 % (12492)lrs+10_1:1_av=off:chr=on:plsq=on:slsq=on:i=7:si=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.23/0.44 % (12489)Instruction limit reached!
% 0.23/0.44 % (12489)------------------------------
% 0.23/0.44 % (12489)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.23/0.44 % (12489)Termination reason: Unknown
% 0.23/0.44 % (12489)Termination phase: Saturation
% 0.23/0.44
% 0.23/0.44 % (12493)lrs+10_1:1_acc=on:amm=sco:cs=on:tgt=full:i=16:si=on:rtra=on_0 on theBenchmark for (2999ds/16Mi)
% 0.23/0.44 % (12489)Memory used [KB]: 5500
% 0.23/0.44 % (12489)Time elapsed: 0.014 s
% 0.23/0.44 % (12489)Instructions burned: 15 (million)
% 0.23/0.44 % (12489)------------------------------
% 0.23/0.44 % (12489)------------------------------
% 0.23/0.44 % (12492)Instruction limit reached!
% 0.23/0.44 % (12492)------------------------------
% 0.23/0.44 % (12492)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.23/0.44 % (12492)Termination reason: Unknown
% 0.23/0.44 % (12492)Termination phase: Function definition elimination
% 0.23/0.44
% 0.23/0.44 % (12492)Memory used [KB]: 1023
% 0.23/0.44 % (12492)Time elapsed: 0.008 s
% 0.23/0.44 % (12492)Instructions burned: 7 (million)
% 0.23/0.44 % (12492)------------------------------
% 0.23/0.44 % (12492)------------------------------
% 0.23/0.45 % (12494)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)
% 0.23/0.45 % (12494)Instruction limit reached!
% 0.23/0.45 % (12494)------------------------------
% 0.23/0.45 % (12494)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.23/0.45 % (12494)Termination reason: Unknown
% 0.23/0.45 % (12494)Termination phase: shuffling
% 0.23/0.45
% 0.23/0.45 % (12494)Memory used [KB]: 1023
% 0.23/0.45 % (12494)Time elapsed: 0.004 s
% 0.23/0.45 % (12494)Instructions burned: 3 (million)
% 0.23/0.45 % (12494)------------------------------
% 0.23/0.45 % (12494)------------------------------
% 0.23/0.45 % (12495)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)
% 0.23/0.45 % (12495)Instruction limit reached!
% 0.23/0.45 % (12495)------------------------------
% 0.23/0.45 % (12495)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.23/0.45 % (12495)Termination reason: Unknown
% 0.23/0.45 % (12495)Termination phase: Property scanning
% 0.23/0.45
% 0.23/0.45 % (12493)Instruction limit reached!
% 0.23/0.45 % (12493)------------------------------
% 0.23/0.45 % (12493)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.23/0.45 % (12493)Termination reason: Unknown
% 0.23/0.45 % (12493)Termination phase: Saturation
% 0.23/0.45
% 0.23/0.45 % (12493)Memory used [KB]: 5884
% 0.23/0.45 % (12493)Time elapsed: 0.012 s
% 0.23/0.45 % (12493)Instructions burned: 16 (million)
% 0.23/0.45 % (12493)------------------------------
% 0.23/0.45 % (12493)------------------------------
% 0.23/0.45 % (12495)Memory used [KB]: 1023
% 0.23/0.45 % (12495)Time elapsed: 0.003 s
% 0.23/0.45 % (12495)Instructions burned: 4 (million)
% 0.23/0.45 % (12495)------------------------------
% 0.23/0.45 % (12495)------------------------------
% 0.23/0.45 % (12488)Instruction limit reached!
% 0.23/0.45 % (12488)------------------------------
% 0.23/0.45 % (12488)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.23/0.45 % (12488)Termination reason: Unknown
% 0.23/0.45 % (12488)Termination phase: Saturation
% 0.23/0.45
% 0.23/0.45 % (12488)Memory used [KB]: 5628
% 0.23/0.45 % (12488)Time elapsed: 0.028 s
% 0.23/0.45 % (12488)Instructions burned: 37 (million)
% 0.23/0.45 % (12488)------------------------------
% 0.23/0.45 % (12488)------------------------------
% 0.23/0.46 % (12496)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)
% 0.23/0.46 % (12497)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)
% 0.23/0.46 % (12496)Instruction limit reached!
% 0.23/0.46 % (12496)------------------------------
% 0.23/0.46 % (12496)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.23/0.46 % (12496)Termination reason: Unknown
% 0.23/0.46 % (12496)Termination phase: Function definition elimination
% 0.23/0.46
% 0.23/0.46 % (12496)Memory used [KB]: 1023
% 0.23/0.46 % (12496)Time elapsed: 0.005 s
% 0.23/0.46 % (12496)Instructions burned: 7 (million)
% 0.23/0.46 % (12496)------------------------------
% 0.23/0.46 % (12496)------------------------------
% 0.23/0.46 % (12497)Instruction limit reached!
% 0.23/0.46 % (12497)------------------------------
% 0.23/0.46 % (12497)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.23/0.46 % (12497)Termination reason: Unknown
% 0.23/0.46 % (12497)Termination phase: Property scanning
% 0.23/0.46
% 0.23/0.46 % (12497)Memory used [KB]: 1023
% 0.23/0.46 % (12497)Time elapsed: 0.003 s
% 0.23/0.46 % (12497)Instructions burned: 3 (million)
% 0.23/0.46 % (12497)------------------------------
% 0.23/0.46 % (12497)------------------------------
% 0.23/0.46 % (12498)dis+1004_1:1_cha=on:cs=on:fe=off:hud=1:i=4:si=on:rtra=on_0 on theBenchmark for (2999ds/4Mi)
% 0.23/0.47 % (12500)lrs+10_1:1_e2e=on:sd=1:sgt=8:ss=axioms:i=710:si=on:rtra=on_0 on theBenchmark for (2999ds/710Mi)
% 0.23/0.47 % (12499)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)
% 0.23/0.47 % (12498)Instruction limit reached!
% 0.23/0.47 % (12498)------------------------------
% 0.23/0.47 % (12498)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.23/0.47 % (12498)Termination reason: Unknown
% 0.23/0.47 % (12498)Termination phase: shuffling
% 0.23/0.47
% 0.23/0.47 % (12498)Memory used [KB]: 1023
% 0.23/0.47 % (12498)Time elapsed: 0.004 s
% 0.23/0.47 % (12498)Instructions burned: 5 (million)
% 0.23/0.47 % (12498)------------------------------
% 0.23/0.47 % (12498)------------------------------
% 0.23/0.47 % (12501)lrs+1004_1:1_chr=on:prag=on:i=6:si=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 0.23/0.47 % (12500)Refutation not found, incomplete strategy
% 0.23/0.47 % (12500)------------------------------
% 0.23/0.47 % (12500)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.23/0.47 % (12500)Termination reason: Refutation not found, incomplete strategy
% 0.23/0.47
% 0.23/0.47
% 0.23/0.47 % (12500)Memory used [KB]: 5628
% 0.23/0.47 % (12500)Time elapsed: 0.008 s
% 0.23/0.47 % (12500)Instructions burned: 11 (million)
% 0.23/0.47 % (12500)------------------------------
% 0.23/0.47 % (12500)------------------------------
% 0.23/0.47 % (12501)Instruction limit reached!
% 0.23/0.47 % (12501)------------------------------
% 0.23/0.47 % (12501)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.23/0.47 % (12501)Termination reason: Unknown
% 0.23/0.47 % (12501)Termination phase: Function definition elimination
% 0.23/0.47
% 0.23/0.47 % (12501)Memory used [KB]: 1023
% 0.23/0.47 % (12501)Time elapsed: 0.005 s
% 0.23/0.47 % (12501)Instructions burned: 6 (million)
% 0.23/0.47 % (12501)------------------------------
% 0.23/0.47 % (12501)------------------------------
% 0.23/0.48 % (12499)Instruction limit reached!
% 0.23/0.48 % (12499)------------------------------
% 0.23/0.48 % (12499)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.23/0.48 % (12499)Termination reason: Unknown
% 0.23/0.48 % (12499)Termination phase: Saturation
% 0.23/0.48
% 0.23/0.48 % (12499)Memory used [KB]: 5628
% 0.23/0.48 % (12499)Time elapsed: 0.012 s
% 0.23/0.48 % (12499)Instructions burned: 19 (million)
% 0.23/0.48 % (12499)------------------------------
% 0.23/0.48 % (12499)------------------------------
% 0.23/0.48 % (12502)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)
% 0.23/0.48 % (12503)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)
% 0.23/0.48 % (12504)dis+10_1:1_cnfonf=lazy_gen:fe=off:i=5:si=on:rtra=on_0 on theBenchmark for (2999ds/5Mi)
% 0.23/0.48 % (12502)Refutation not found, incomplete strategy
% 0.23/0.48 % (12502)------------------------------
% 0.23/0.48 % (12502)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.23/0.48 % (12502)Termination reason: Refutation not found, incomplete strategy
% 0.23/0.48
% 0.23/0.48
% 0.23/0.48 % (12502)Memory used [KB]: 5500
% 0.23/0.48 % (12502)Time elapsed: 0.006 s
% 0.23/0.48 % (12502)Instructions burned: 7 (million)
% 0.23/0.48 % (12502)------------------------------
% 0.23/0.48 % (12502)------------------------------
% 0.23/0.48 % (12504)Instruction limit reached!
% 0.23/0.48 % (12504)------------------------------
% 0.23/0.48 % (12504)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.23/0.48 % (12504)Termination reason: Unknown
% 0.23/0.48 % (12504)Termination phase: Property scanning
% 0.23/0.48
% 0.23/0.48 % (12504)Memory used [KB]: 1023
% 0.23/0.48 % (12504)Time elapsed: 0.005 s
% 0.23/0.48 % (12504)Instructions burned: 6 (million)
% 0.23/0.48 % (12504)------------------------------
% 0.23/0.48 % (12504)------------------------------
% 0.23/0.49 % (12505)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)
% 0.23/0.49 % (12506)lrs+1002_1:128_au=on:c=on:fsr=off:piset=equals:i=377:si=on:rtra=on_0 on theBenchmark for (2999ds/377Mi)
% 0.23/0.49 % (12503)Instruction limit reached!
% 0.23/0.49 % (12503)------------------------------
% 0.23/0.49 % (12503)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.23/0.49 % (12503)Termination reason: Unknown
% 0.23/0.49 % (12503)Termination phase: Saturation
% 0.23/0.49
% 0.23/0.49 % (12503)Memory used [KB]: 5628
% 0.23/0.49 % (12503)Time elapsed: 0.011 s
% 0.23/0.49 % (12503)Instructions burned: 23 (million)
% 0.23/0.49 % (12503)------------------------------
% 0.23/0.49 % (12503)------------------------------
% 0.23/0.49 % (12505)Instruction limit reached!
% 0.23/0.49 % (12505)------------------------------
% 0.23/0.49 % (12505)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.23/0.49 % (12505)Termination reason: Unknown
% 0.23/0.49 % (12505)Termination phase: Saturation
% 0.23/0.49
% 0.23/0.49 % (12505)Memory used [KB]: 5500
% 0.23/0.49 % (12505)Time elapsed: 0.005 s
% 0.23/0.49 % (12505)Instructions burned: 6 (million)
% 0.23/0.49 % (12505)------------------------------
% 0.23/0.49 % (12505)------------------------------
% 0.23/0.49 % (12507)dis+1010_1:4_atotf=0.2:c=on:cbe=off:cnfonf=lazy_simp:fe=off:ins=2:ntd=on:s2a=on:s2at=5.0:sgt=5:ss=axioms:st=1.5:i=779:si=on:rtra=on_0 on theBenchmark for (2998ds/779Mi)
% 0.23/0.50 % (12508)lrs+10_1:1_cnfonf=lazy_not_be_gen:ntd=on:sp=const_min:ss=axioms:sup=off:i=19:si=on:rtra=on_0 on theBenchmark for (2998ds/19Mi)
% 0.23/0.50 % (12509)lrs+1010_1:1_au=on:s2a=on:sd=1:sgt=50:ss=axioms:i=879:si=on:rtra=on_0 on theBenchmark for (2998ds/879Mi)
% 0.23/0.50 % (12508)Refutation not found, incomplete strategy
% 0.23/0.50 % (12508)------------------------------
% 0.23/0.50 % (12508)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.23/0.50 % (12508)Termination reason: Refutation not found, incomplete strategy
% 0.23/0.50
% 0.23/0.50
% 0.23/0.50 % (12508)Memory used [KB]: 5500
% 0.23/0.50 % (12508)Time elapsed: 0.005 s
% 0.23/0.50 % (12508)Instructions burned: 6 (million)
% 0.23/0.50 % (12508)------------------------------
% 0.23/0.50 % (12508)------------------------------
% 0.23/0.50 % (12510)dis+1002_1:128_acc=on:er=filter:i=17:si=on:rtra=on_0 on theBenchmark for (2998ds/17Mi)
% 0.23/0.50 % (12511)ott+21_1:1_apa=on:au=on:cnfonf=off:sos=on:i=3:si=on:rtra=on_0 on theBenchmark for (2998ds/3Mi)
% 0.23/0.51 % (12511)Instruction limit reached!
% 0.23/0.51 % (12511)------------------------------
% 0.23/0.51 % (12511)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.23/0.51 % (12511)Termination reason: Unknown
% 0.23/0.51 % (12511)Termination phase: Property scanning
% 0.23/0.51
% 0.23/0.51 % (12511)Memory used [KB]: 1023
% 0.23/0.51 % (12511)Time elapsed: 0.003 s
% 0.23/0.51 % (12511)Instructions burned: 4 (million)
% 0.23/0.51 % (12511)------------------------------
% 0.23/0.51 % (12511)------------------------------
% 0.23/0.51 % (12510)Instruction limit reached!
% 0.23/0.51 % (12510)------------------------------
% 0.23/0.51 % (12510)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.23/0.51 % (12510)Termination reason: Unknown
% 0.23/0.51 % (12510)Termination phase: Saturation
% 0.23/0.51
% 0.23/0.51 % (12510)Memory used [KB]: 5500
% 0.23/0.51 % (12510)Time elapsed: 0.009 s
% 0.23/0.51 % (12510)Instructions burned: 17 (million)
% 0.23/0.51 % (12510)------------------------------
% 0.23/0.51 % (12510)------------------------------
% 0.23/0.51 % (12480)Instruction limit reached!
% 0.23/0.51 % (12480)------------------------------
% 0.23/0.51 % (12480)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.23/0.51 % (12480)Termination reason: Unknown
% 0.23/0.51 % (12480)Termination phase: Saturation
% 0.23/0.51
% 0.23/0.51 % (12480)Memory used [KB]: 6396
% 0.23/0.51 % (12480)Time elapsed: 0.113 s
% 0.23/0.51 % (12480)Instructions burned: 184 (million)
% 0.23/0.51 % (12480)------------------------------
% 0.23/0.51 % (12480)------------------------------
% 0.23/0.52 % (12512)lrs+1010_1:8_cnfonf=off:hud=1:inj=on:tnu=5:i=30:si=on:rtra=on_0 on theBenchmark for (2998ds/30Mi)
% 0.23/0.52 % (12513)dis+10_1:1_ixr=off:plsq=on:plsqc=1:plsqr=32,1:s2a=on:i=127:si=on:rtra=on_0 on theBenchmark for (2998ds/127Mi)
% 0.23/0.53 % (12514)lrs+1002_1:1_au=on:cbe=off:cnfonf=conj_eager:cond=on:hi=on:i=100:si=on:rtra=on_0 on theBenchmark for (2998ds/100Mi)
% 0.23/0.53 % (12515)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)
% 0.23/0.53 % (12515)Instruction limit reached!
% 0.23/0.53 % (12515)------------------------------
% 0.23/0.53 % (12515)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.23/0.53 % (12515)Termination reason: Unknown
% 0.23/0.53 % (12515)Termination phase: Property scanning
% 0.23/0.53
% 0.23/0.53 % (12515)Memory used [KB]: 1023
% 0.23/0.53 % (12515)Time elapsed: 0.003 s
% 0.23/0.53 % (12515)Instructions burned: 4 (million)
% 0.23/0.53 % (12515)------------------------------
% 0.23/0.53 % (12515)------------------------------
% 0.23/0.53 % (12512)Refutation not found, incomplete strategy
% 0.23/0.53 % (12512)------------------------------
% 0.23/0.53 % (12512)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.23/0.53 % (12512)Termination reason: Refutation not found, incomplete strategy
% 0.23/0.53
% 0.23/0.53
% 0.23/0.53 % (12512)Memory used [KB]: 5628
% 0.23/0.53 % (12512)Time elapsed: 0.014 s
% 0.23/0.53 % (12512)Instructions burned: 27 (million)
% 0.23/0.53 % (12512)------------------------------
% 0.23/0.53 % (12512)------------------------------
% 0.23/0.55 % (12517)dis+1002_1:1_cbe=off:hud=5:nm=4:plsq=on:plsqr=7,1:prag=on:sp=const_max:tnu=1:i=86:si=on:rtra=on_0 on theBenchmark for (2998ds/86Mi)
% 1.56/0.57 % (12516)lrs+10_8:1_au=on:avsq=on:e2e=on:ins=3:s2a=on:s2at=3.0:ss=axioms:i=20:si=on:rtra=on_0 on theBenchmark for (2998ds/20Mi)
% 1.56/0.57 % (12516)Refutation not found, incomplete strategy
% 1.56/0.57 % (12516)------------------------------
% 1.56/0.57 % (12516)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.56/0.57 % (12516)Termination reason: Refutation not found, incomplete strategy
% 1.56/0.57
% 1.56/0.57
% 1.56/0.57 % (12516)Memory used [KB]: 5500
% 1.56/0.57 % (12516)Time elapsed: 0.028 s
% 1.56/0.57 % (12516)Instructions burned: 9 (million)
% 1.56/0.57 % (12516)------------------------------
% 1.56/0.57 % (12516)------------------------------
% 1.56/0.57 % (12514)Instruction limit reached!
% 1.56/0.57 % (12514)------------------------------
% 1.56/0.57 % (12514)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.56/0.57 % (12514)Termination reason: Unknown
% 1.56/0.57 % (12514)Termination phase: Saturation
% 1.56/0.57
% 1.56/0.57 % (12514)Memory used [KB]: 5884
% 1.56/0.57 % (12514)Time elapsed: 0.049 s
% 1.56/0.57 % (12514)Instructions burned: 100 (million)
% 1.56/0.57 % (12514)------------------------------
% 1.56/0.57 % (12514)------------------------------
% 1.56/0.58 % (12513)Instruction limit reached!
% 1.56/0.58 % (12513)------------------------------
% 1.56/0.58 % (12513)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.56/0.58 % (12513)Termination reason: Unknown
% 1.56/0.58 % (12513)Termination phase: Saturation
% 1.56/0.58
% 1.56/0.58 % (12513)Memory used [KB]: 6012
% 1.56/0.58 % (12513)Time elapsed: 0.061 s
% 1.56/0.58 % (12513)Instructions burned: 128 (million)
% 1.56/0.58 % (12513)------------------------------
% 1.56/0.58 % (12513)------------------------------
% 1.78/0.58 % (12517)Instruction limit reached!
% 1.78/0.58 % (12517)------------------------------
% 1.78/0.58 % (12517)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.78/0.58 % (12517)Termination reason: Unknown
% 1.78/0.58 % (12517)Termination phase: Saturation
% 1.78/0.58
% 1.78/0.58 % (12517)Memory used [KB]: 5884
% 1.78/0.58 % (12517)Time elapsed: 0.041 s
% 1.78/0.58 % (12517)Instructions burned: 87 (million)
% 1.78/0.58 % (12517)------------------------------
% 1.78/0.58 % (12517)------------------------------
% 1.78/0.59 % (12518)lrs+1010_1:1_au=on:cbe=off:nm=2:ntd=on:sd=2:ss=axioms:st=5.0:i=107:si=on:rtra=on_0 on theBenchmark for (2998ds/107Mi)
% 1.78/0.59 % (12519)lrs+2_1:1024_cnfonf=lazy_gen:fe=off:hud=15:plsq=on:plsqc=1:plsqr=32,1:i=39:si=on:rtra=on_0 on theBenchmark for (2998ds/39Mi)
% 1.78/0.60 % (12520)dis+10_1:1_cnfonf=lazy_not_gen:fsr=off:kws=precedence:nwc=5.0:s2a=on:ss=axioms:st=1.5:i=448:si=on:rtra=on_0 on theBenchmark for (2998ds/448Mi)
% 1.78/0.60 % (12521)lrs+10_1:512_au=on:fde=unused:lma=on:nm=32:plsq=on:plsqc=1:plsqr=16121663,131072:sfv=off:sp=const_max:ss=axioms:st=3.0:tgt=full:i=46:si=on:rtra=on_0 on theBenchmark for (2997ds/46Mi)
% 1.78/0.60 % (12518)Refutation not found, incomplete strategy
% 1.78/0.60 % (12518)------------------------------
% 1.78/0.60 % (12518)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.78/0.60 % (12518)Termination reason: Refutation not found, incomplete strategy
% 1.78/0.60
% 1.78/0.60
% 1.78/0.60 % (12518)Memory used [KB]: 5628
% 1.78/0.60 % (12518)Time elapsed: 0.015 s
% 1.78/0.60 % (12518)Instructions burned: 31 (million)
% 1.78/0.60 % (12518)------------------------------
% 1.78/0.60 % (12518)------------------------------
% 1.78/0.61 % (12519)Instruction limit reached!
% 1.78/0.61 % (12519)------------------------------
% 1.78/0.61 % (12519)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.78/0.61 % (12519)Termination reason: Unknown
% 1.78/0.61 % (12519)Termination phase: Saturation
% 1.78/0.61
% 1.78/0.61 % (12519)Memory used [KB]: 5756
% 1.78/0.61 % (12519)Time elapsed: 0.020 s
% 1.78/0.61 % (12519)Instructions burned: 40 (million)
% 1.78/0.61 % (12519)------------------------------
% 1.78/0.61 % (12519)------------------------------
% 1.78/0.62 % (12522)lrs+10_1:10_au=on:av=off:cbe=off:cnfonf=lazy_pi_sigma_gen:ntd=on:plsq=on:plsqc=1:plsqr=32,1:i=98:si=on:rtra=on_0 on theBenchmark for (2997ds/98Mi)
% 1.78/0.62 % (12523)ott+1002_1:1_apa=on:au=on:bd=off:cnfonf=off:fd=off:sos=on:sp=weighted_frequency:i=507:si=on:rtra=on_0 on theBenchmark for (2997ds/507Mi)
% 1.78/0.63 % (12521)Instruction limit reached!
% 1.78/0.63 % (12521)------------------------------
% 1.78/0.63 % (12521)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.78/0.63 % (12521)Termination reason: Unknown
% 1.78/0.63 % (12521)Termination phase: Saturation
% 1.78/0.63
% 1.78/0.63 % (12521)Memory used [KB]: 5756
% 1.78/0.63 % (12521)Time elapsed: 0.029 s
% 1.78/0.63 % (12521)Instructions burned: 46 (million)
% 1.78/0.63 % (12521)------------------------------
% 1.78/0.63 % (12521)------------------------------
% 1.78/0.63 % (12523)Refutation not found, incomplete strategy
% 1.78/0.63 % (12523)------------------------------
% 1.78/0.63 % (12523)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.78/0.63 % (12523)Termination reason: Refutation not found, incomplete strategy
% 1.78/0.63
% 1.78/0.63
% 1.78/0.63 % (12523)Memory used [KB]: 5628
% 1.78/0.63 % (12523)Time elapsed: 0.015 s
% 1.78/0.63 % (12523)Instructions burned: 32 (million)
% 1.78/0.63 % (12523)------------------------------
% 1.78/0.63 % (12523)------------------------------
% 1.78/0.64 % (12524)dis+1010_2:3_amm=off:fd=preordered:ixr=off:nm=0:pe=on:piset=equals:prag=on:sac=on:tgt=ground:i=149:si=on:rtra=on_0 on theBenchmark for (2997ds/149Mi)
% 2.17/0.65 % (12525)lrs+21_1:16_au=on:bd=off:piset=and:i=39:si=on:rtra=on_0 on theBenchmark for (2997ds/39Mi)
% 2.22/0.66 % (12522)Instruction limit reached!
% 2.22/0.66 % (12522)------------------------------
% 2.22/0.66 % (12522)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.22/0.66 % (12522)Termination reason: Unknown
% 2.22/0.66 % (12522)Termination phase: Saturation
% 2.22/0.66
% 2.22/0.66 % (12522)Memory used [KB]: 1279
% 2.22/0.66 % (12522)Time elapsed: 0.050 s
% 2.22/0.66 % (12522)Instructions burned: 99 (million)
% 2.22/0.66 % (12522)------------------------------
% 2.22/0.66 % (12522)------------------------------
% 2.22/0.67 % (12525)Instruction limit reached!
% 2.22/0.67 % (12525)------------------------------
% 2.22/0.67 % (12525)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.22/0.67 % (12525)Termination reason: Unknown
% 2.22/0.67 % (12525)Termination phase: Saturation
% 2.22/0.67
% 2.22/0.67 % (12525)Memory used [KB]: 5628
% 2.22/0.67 % (12525)Time elapsed: 0.018 s
% 2.22/0.67 % (12525)Instructions burned: 39 (million)
% 2.22/0.67 % (12525)------------------------------
% 2.22/0.67 % (12525)------------------------------
% 2.22/0.68 % (12526)lrs+1004_1:1_cnfonf=lazy_pi_sigma_gen:fe=off:gs=on:hud=10:prag=on:tnu=1:i=6:si=on:rtra=on_0 on theBenchmark for (2997ds/6Mi)
% 2.22/0.68 % (12506)Instruction limit reached!
% 2.22/0.68 % (12506)------------------------------
% 2.22/0.68 % (12506)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.22/0.68 % (12506)Termination reason: Unknown
% 2.22/0.68 % (12506)Termination phase: Saturation
% 2.22/0.68
% 2.22/0.68 % (12506)Memory used [KB]: 7675
% 2.22/0.68 % (12506)Time elapsed: 0.195 s
% 2.22/0.68 % (12506)Instructions burned: 378 (million)
% 2.22/0.68 % (12506)------------------------------
% 2.22/0.68 % (12506)------------------------------
% 2.22/0.68 % (12526)Instruction limit reached!
% 2.22/0.68 % (12526)------------------------------
% 2.22/0.68 % (12526)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.22/0.68 % (12526)Termination reason: Unknown
% 2.22/0.68 % (12527)dis+1002_1:1_aac=none:au=on:e2e=on:nm=2:nwc=10.0:sd=1:ss=axioms:st=3.0:i=1087:si=on:rtra=on_0 on theBenchmark for (2997ds/1087Mi)
% 2.22/0.68 % (12526)Termination phase: Function definition elimination
% 2.22/0.68
% 2.22/0.68 % (12526)Memory used [KB]: 1023
% 2.22/0.68 % (12526)Time elapsed: 0.004 s
% 2.22/0.68 % (12526)Instructions burned: 6 (million)
% 2.22/0.68 % (12526)------------------------------
% 2.22/0.68 % (12526)------------------------------
% 2.22/0.69 % (12527)Refutation not found, incomplete strategy
% 2.22/0.69 % (12527)------------------------------
% 2.22/0.69 % (12527)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.22/0.69 % (12527)Termination reason: Refutation not found, incomplete strategy
% 2.22/0.69
% 2.22/0.69
% 2.22/0.69 % (12527)Memory used [KB]: 5628
% 2.22/0.69 % (12527)Time elapsed: 0.007 s
% 2.22/0.69 % (12527)Instructions burned: 11 (million)
% 2.22/0.69 % (12527)------------------------------
% 2.22/0.69 % (12527)------------------------------
% 2.22/0.70 % (12528)dis+10_1:1_aac=none:cs=on:i=47:si=on:rtra=on_0 on theBenchmark for (2997ds/47Mi)
% 2.22/0.70 % (12529)lrs+1010_1:128_av=off:cbe=off:cnfonf=lazy_simp:fsr=off:ntd=on:ss=axioms:st=1.5:i=44:si=on:rtra=on_0 on theBenchmark for (2997ds/44Mi)
% 2.22/0.70 % (12530)dis+10_1:1_av=off:bd=off:cnfonf=lazy_gen:fe=off:hud=10:plsq=on:plsqc=1:plsqr=32,1:prag=on:tnu=1:i=432:si=on:rtra=on_0 on theBenchmark for (2997ds/432Mi)
% 2.54/0.71 % (12528)Instruction limit reached!
% 2.54/0.71 % (12528)------------------------------
% 2.54/0.71 % (12528)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.54/0.71 % (12528)Termination reason: Unknown
% 2.54/0.72 % (12528)Termination phase: Saturation
% 2.54/0.72
% 2.54/0.72 % (12528)Memory used [KB]: 5628
% 2.54/0.72 % (12528)Time elapsed: 0.021 s
% 2.54/0.72 % (12528)Instructions burned: 47 (million)
% 2.54/0.72 % (12528)------------------------------
% 2.54/0.72 % (12528)------------------------------
% 2.54/0.72 % (12529)Instruction limit reached!
% 2.54/0.72 % (12529)------------------------------
% 2.54/0.72 % (12529)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.54/0.72 % (12529)Termination reason: Unknown
% 2.54/0.72 % (12529)Termination phase: Saturation
% 2.54/0.72
% 2.54/0.72 % (12529)Memory used [KB]: 1151
% 2.54/0.72 % (12529)Time elapsed: 0.022 s
% 2.54/0.72 % (12529)Instructions burned: 45 (million)
% 2.54/0.72 % (12529)------------------------------
% 2.54/0.72 % (12529)------------------------------
% 2.54/0.73 % (12524)Instruction limit reached!
% 2.54/0.73 % (12524)------------------------------
% 2.54/0.73 % (12524)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.54/0.73 % (12524)Termination reason: Unknown
% 2.54/0.73 % (12524)Termination phase: Saturation
% 2.54/0.73
% 2.54/0.73 % (12524)Memory used [KB]: 6140
% 2.54/0.73 % (12524)Time elapsed: 0.085 s
% 2.54/0.73 % (12524)Instructions burned: 149 (million)
% 2.54/0.73 % (12524)------------------------------
% 2.54/0.73 % (12524)------------------------------
% 2.54/0.73 % (12531)lrs+10_7:1_cnfonf=lazy_gen:fe=off:nwc=5.0:plsq=on:i=62:si=on:rtra=on_0 on theBenchmark for (2996ds/62Mi)
% 2.54/0.73 % (12532)lrs+1010_1:16_add=large:amm=off:anc=all_dependent:chr=on:fd=off:ins=2:sp=const_max:tnu=5:uhcvi=on:i=31:si=on:rtra=on_0 on theBenchmark for (2996ds/31Mi)
% 2.54/0.74 % (12533)dis+10_1:128_hud=1:i=96:si=on:rtra=on_0 on theBenchmark for (2996ds/96Mi)
% 2.54/0.75 % (12532)Instruction limit reached!
% 2.54/0.75 % (12532)------------------------------
% 2.54/0.75 % (12532)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.54/0.75 % (12532)Termination reason: Unknown
% 2.54/0.75 % (12532)Termination phase: Saturation
% 2.54/0.75
% 2.54/0.75 % (12532)Memory used [KB]: 5628
% 2.54/0.75 % (12532)Time elapsed: 0.015 s
% 2.54/0.75 % (12532)Instructions burned: 32 (million)
% 2.54/0.75 % (12532)------------------------------
% 2.54/0.75 % (12532)------------------------------
% 2.84/0.76 % (12531)Instruction limit reached!
% 2.84/0.76 % (12531)------------------------------
% 2.84/0.76 % (12531)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.84/0.76 % (12531)Termination reason: Unknown
% 2.84/0.76 % (12531)Termination phase: Saturation
% 2.84/0.76
% 2.84/0.76 % (12531)Memory used [KB]: 5756
% 2.84/0.76 % (12531)Time elapsed: 0.032 s
% 2.84/0.76 % (12531)Instructions burned: 63 (million)
% 2.84/0.76 % (12531)------------------------------
% 2.84/0.76 % (12531)------------------------------
% 2.84/0.76 % (12534)lrs+1002_1:4_au=on:cbe=off:cnfonf=lazy_pi_sigma_gen:hud=15:inj=on:nwc=4.0:s2a=on:sac=on:sp=reverse_arity:i=453:si=on:rtra=on_0 on theBenchmark for (2996ds/453Mi)
% 2.84/0.78 % (12535)lrs-1004_1:1_au=on:bsd=on:cbe=off:cnfonf=off:fe=axiom:fsd=on:i=71:si=on:rtra=on_0 on theBenchmark for (2996ds/71Mi)
% 2.84/0.79 % (12533)Instruction limit reached!
% 2.84/0.79 % (12533)------------------------------
% 2.84/0.79 % (12533)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.84/0.79 % (12533)Termination reason: Unknown
% 2.84/0.79 % (12533)Termination phase: Saturation
% 2.84/0.79
% 2.84/0.79 % (12533)Memory used [KB]: 5884
% 2.84/0.79 % (12533)Time elapsed: 0.046 s
% 2.84/0.79 % (12533)Instructions burned: 97 (million)
% 2.84/0.79 % (12533)------------------------------
% 2.84/0.79 % (12533)------------------------------
% 2.84/0.80 % (12537)dis+1002_1:1_bd=off:fsr=off:ntd=on:s2a=on:ss=axioms:i=83:si=on:rtra=on_0 on theBenchmark for (2996ds/83Mi)
% 2.84/0.81 % (12537)Refutation not found, incomplete strategy
% 2.84/0.81 % (12537)------------------------------
% 2.84/0.81 % (12537)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.84/0.81 % (12537)Termination reason: Refutation not found, incomplete strategy
% 2.84/0.81
% 2.84/0.81
% 2.84/0.81 % (12537)Memory used [KB]: 5500
% 2.84/0.81 % (12537)Time elapsed: 0.006 s
% 2.84/0.81 % (12537)Instructions burned: 9 (million)
% 2.84/0.81 % (12537)------------------------------
% 2.84/0.81 % (12537)------------------------------
% 2.84/0.81 % (12520)Instruction limit reached!
% 2.84/0.81 % (12520)------------------------------
% 2.84/0.81 % (12520)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.84/0.81 % (12520)Termination reason: Unknown
% 2.84/0.81 % (12520)Termination phase: Saturation
% 2.84/0.81
% 2.84/0.81 % (12520)Memory used [KB]: 6012
% 2.84/0.81 % (12520)Time elapsed: 0.214 s
% 2.84/0.81 % (12520)Instructions burned: 448 (million)
% 2.84/0.81 % (12520)------------------------------
% 2.84/0.81 % (12520)------------------------------
% 2.84/0.81 % (12535)Instruction limit reached!
% 2.84/0.81 % (12535)------------------------------
% 2.84/0.81 % (12535)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.84/0.81 % (12535)Termination reason: Unknown
% 2.84/0.81 % (12535)Termination phase: Saturation
% 2.84/0.81
% 2.84/0.81 % (12535)Memory used [KB]: 5884
% 2.84/0.81 % (12535)Time elapsed: 0.035 s
% 2.84/0.81 % (12535)Instructions burned: 72 (million)
% 2.84/0.81 % (12535)------------------------------
% 2.84/0.81 % (12535)------------------------------
% 2.84/0.82 % (12538)lrs+10_1:128_cnfonf=lazy_not_gen_be_off:hud=1:ins=1:i=11:si=on:rtra=on_0 on theBenchmark for (2995ds/11Mi)
% 2.84/0.82 % (12539)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 (2995ds/41Mi)
% 2.84/0.82 % (12540)lrs+1004_1:1_chr=on:prag=on:i=6:si=on:rtra=on_0 on theBenchmark for (2995ds/6Mi)
% 2.84/0.82 % (12538)Instruction limit reached!
% 2.84/0.82 % (12538)------------------------------
% 2.84/0.82 % (12538)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.84/0.82 % (12538)Termination reason: Unknown
% 2.84/0.82 % (12538)Termination phase: Saturation
% 2.84/0.82
% 2.84/0.82 % (12538)Memory used [KB]: 5500
% 2.84/0.82 % (12538)Time elapsed: 0.007 s
% 2.84/0.82 % (12538)Instructions burned: 12 (million)
% 2.84/0.82 % (12538)------------------------------
% 2.84/0.82 % (12538)------------------------------
% 2.84/0.83 % (12540)Instruction limit reached!
% 2.84/0.83 % (12540)------------------------------
% 2.84/0.83 % (12540)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.84/0.83 % (12540)Termination reason: Unknown
% 2.84/0.83 % (12540)Termination phase: Function definition elimination
% 2.84/0.83
% 2.84/0.83 % (12540)Memory used [KB]: 1023
% 2.84/0.83 % (12540)Time elapsed: 0.005 s
% 2.84/0.83 % (12540)Instructions burned: 7 (million)
% 2.84/0.83 % (12540)------------------------------
% 2.84/0.83 % (12540)------------------------------
% 3.55/0.84 % (12539)Instruction limit reached!
% 3.55/0.84 % (12539)------------------------------
% 3.55/0.84 % (12539)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 3.55/0.84 % (12539)Termination reason: Unknown
% 3.55/0.84 % (12539)Termination phase: Saturation
% 3.55/0.84
% 3.55/0.84 % (12539)Memory used [KB]: 5628
% 3.55/0.84 % (12539)Time elapsed: 0.041 s
% 3.55/0.84 % (12539)Instructions burned: 41 (million)
% 3.55/0.84 % (12539)------------------------------
% 3.55/0.84 % (12539)------------------------------
% 3.55/0.84 % (12541)dis+10_1:1_avsq=on:cnfonf=off:e2e=on:nm=32:i=150:si=on:rtra=on_0 on theBenchmark for (2995ds/150Mi)
% 3.55/0.84 % (12542)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 (2995ds/343Mi)
% 3.55/0.84 % (12542)Refutation not found, incomplete strategy
% 3.55/0.84 % (12542)------------------------------
% 3.55/0.84 % (12542)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 3.55/0.84 % (12542)Termination reason: Refutation not found, incomplete strategy
% 3.55/0.84
% 3.55/0.84
% 3.55/0.84 % (12542)Memory used [KB]: 5500
% 3.55/0.84 % (12542)Time elapsed: 0.029 s
% 3.55/0.84 % (12542)Instructions burned: 9 (million)
% 3.55/0.84 % (12542)------------------------------
% 3.55/0.84 % (12542)------------------------------
% 3.55/0.85 % (12541)Refutation not found, incomplete strategy
% 3.55/0.85 % (12541)------------------------------
% 3.55/0.85 % (12541)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 3.55/0.85 % (12541)Termination reason: Refutation not found, incomplete strategy
% 3.55/0.85
% 3.55/0.85
% 3.55/0.85 % (12541)Memory used [KB]: 5628
% 3.55/0.85 % (12541)Time elapsed: 0.013 s
% 3.55/0.85 % (12541)Instructions burned: 29 (million)
% 3.55/0.85 % (12541)------------------------------
% 3.55/0.85 % (12541)------------------------------
% 3.55/0.85 % (12543)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 (2995ds/109Mi)
% 3.55/0.86 % (12544)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 (2995ds/253Mi)
% 3.55/0.86 % (12544)Refutation not found, incomplete strategy
% 3.55/0.86 % (12544)------------------------------
% 3.55/0.86 % (12544)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 3.55/0.86 % (12544)Termination reason: Refutation not found, incomplete strategy
% 3.55/0.86
% 3.55/0.86
% 3.55/0.86 % (12544)Memory used [KB]: 5500
% 3.55/0.86 % (12544)Time elapsed: 0.006 s
% 3.55/0.86 % (12544)Instructions burned: 8 (million)
% 3.55/0.86 % (12544)------------------------------
% 3.55/0.86 % (12544)------------------------------
% 3.55/0.86 % (12545)lrs+10_1:1_au=on:cnfonf=off:sd=1:sgt=16:ss=axioms:i=140:si=on:rtra=on_0 on theBenchmark for (2995ds/140Mi)
% 3.55/0.87 % (12545)Refutation not found, incomplete strategy
% 3.55/0.87 % (12545)------------------------------
% 3.55/0.87 % (12545)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 3.55/0.87 % (12545)Termination reason: Refutation not found, incomplete strategy
% 3.55/0.87
% 3.55/0.87
% 3.55/0.87 % (12545)Memory used [KB]: 5628
% 3.55/0.87 % (12545)Time elapsed: 0.007 s
% 3.55/0.87 % (12545)Instructions burned: 10 (million)
% 3.55/0.87 % (12545)------------------------------
% 3.55/0.87 % (12545)------------------------------
% 3.55/0.88 % (12546)dis+1010_16:1_acc=model:au=on:avsq=on:cond=fast:plsq=on:plsqc=2:plsqr=9267,262144:i=614:si=on:rtra=on_0 on theBenchmark for (2995ds/614Mi)
% 3.81/0.88 % (12547)lrs+1002_1:1_e2e=on:fde=unused:fe=axiom:prag=on:sd=1:sos=on:ss=axioms:st=2.0:i=202:si=on:rtra=on_0 on theBenchmark for (2995ds/202Mi)
% 3.81/0.89 % (12547)Refutation not found, incomplete strategy
% 3.81/0.89 % (12547)------------------------------
% 3.81/0.89 % (12547)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 3.81/0.89 % (12547)Termination reason: Refutation not found, incomplete strategy
% 3.81/0.89
% 3.81/0.89
% 3.81/0.89 % (12547)Memory used [KB]: 5628
% 3.81/0.89 % (12547)Time elapsed: 0.006 s
% 3.81/0.89 % (12547)Instructions burned: 10 (million)
% 3.81/0.89 % (12547)------------------------------
% 3.81/0.89 % (12547)------------------------------
% 3.81/0.89 % (12507)Instruction limit reached!
% 3.81/0.89 % (12507)------------------------------
% 3.81/0.89 % (12507)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 3.81/0.89 % (12507)Termination reason: Unknown
% 3.81/0.89 % (12507)Termination phase: Saturation
% 3.81/0.89
% 3.81/0.89 % (12507)Memory used [KB]: 7164
% 3.81/0.89 % (12507)Time elapsed: 0.399 s
% 3.81/0.89 % (12507)Instructions burned: 780 (million)
% 3.81/0.89 % (12507)------------------------------
% 3.81/0.89 % (12507)------------------------------
% 3.81/0.90 % (12543)Instruction limit reached!
% 3.81/0.90 % (12543)------------------------------
% 3.81/0.90 % (12543)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 3.81/0.90 % (12543)Termination reason: Unknown
% 3.81/0.90 % (12543)Termination phase: Saturation
% 3.81/0.90
% 3.81/0.90 % (12543)Memory used [KB]: 5884
% 3.81/0.90 % (12543)Time elapsed: 0.047 s
% 3.81/0.90 % (12543)Instructions burned: 110 (million)
% 3.81/0.90 % (12543)------------------------------
% 3.81/0.90 % (12543)------------------------------
% 3.81/0.90 % (12548)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 (2994ds/339Mi)
% 3.81/0.90 % (12549)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 (2994ds/283Mi)
% 3.81/0.91 % (12550)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 (2994ds/134Mi)
% 3.81/0.91 % (12530)Instruction limit reached!
% 3.81/0.91 % (12530)------------------------------
% 3.81/0.91 % (12530)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 3.81/0.91 % (12530)Termination reason: Unknown
% 3.81/0.91 % (12530)Termination phase: Saturation
% 3.81/0.91
% 3.81/0.91 % (12530)Memory used [KB]: 2174
% 3.81/0.91 % (12530)Time elapsed: 0.211 s
% 3.81/0.91 % (12530)Instructions burned: 433 (million)
% 3.81/0.91 % (12530)------------------------------
% 3.81/0.91 % (12530)------------------------------
% 3.81/0.93 % (12551)dis+1010_1:64_cnfonf=lazy_simp:fd=off:i=298:si=on:rtra=on_0 on theBenchmark for (2994ds/298Mi)
% 4.24/0.95 % (12509)Instruction limit reached!
% 4.24/0.95 % (12509)------------------------------
% 4.24/0.95 % (12509)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 4.24/0.95 % (12509)Termination reason: Unknown
% 4.24/0.95 % (12509)Termination phase: Saturation
% 4.24/0.95
% 4.24/0.95 % (12509)Memory used [KB]: 8699
% 4.24/0.95 % (12509)Time elapsed: 0.453 s
% 4.24/0.95 % (12509)Instructions burned: 880 (million)
% 4.24/0.95 % (12509)------------------------------
% 4.24/0.95 % (12509)------------------------------
% 4.27/0.96 % (12552)lrs+2_1:8_erd=off:plsq=on:plsqr=32,1:sos=on:i=192:si=on:rtra=on_0 on theBenchmark for (2994ds/192Mi)
% 4.27/0.97 % (12550)Instruction limit reached!
% 4.27/0.97 % (12550)------------------------------
% 4.27/0.97 % (12550)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 4.27/0.97 % (12550)Termination reason: Unknown
% 4.27/0.97 % (12550)Termination phase: Saturation
% 4.27/0.97
% 4.27/0.97 % (12550)Memory used [KB]: 6012
% 4.27/0.97 % (12550)Time elapsed: 0.059 s
% 4.27/0.97 % (12550)Instructions burned: 136 (million)
% 4.27/0.97 % (12550)------------------------------
% 4.27/0.97 % (12550)------------------------------
% 4.27/0.97 % (12491)Instruction limit reached!
% 4.27/0.97 % (12491)------------------------------
% 4.27/0.97 % (12491)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 4.27/0.97 % (12491)Termination reason: Unknown
% 4.27/0.97 % (12491)Termination phase: Saturation
% 4.27/0.97
% 4.27/0.97 % (12491)Memory used [KB]: 7547
% 4.27/0.97 % (12491)Time elapsed: 0.540 s
% 4.27/0.97 % (12491)Instructions burned: 1042 (million)
% 4.27/0.97 % (12491)------------------------------
% 4.27/0.97 % (12491)------------------------------
% 4.27/0.98 % (12534)Instruction limit reached!
% 4.27/0.98 % (12534)------------------------------
% 4.27/0.98 % (12534)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 4.27/0.98 % (12534)Termination reason: Unknown
% 4.27/0.98 % (12534)Termination phase: Saturation
% 4.27/0.98
% 4.27/0.98 % (12534)Memory used [KB]: 6396
% 4.27/0.98 % (12534)Time elapsed: 0.239 s
% 4.27/0.98 % (12534)Instructions burned: 453 (million)
% 4.27/0.98 % (12534)------------------------------
% 4.27/0.98 % (12534)------------------------------
% 4.27/0.98 % (12553)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 (2994ds/258Mi)
% 4.27/0.98 % (12554)lrs+1002_1:1024_au=on:cond=fast:ntd=on:piset=and:plsq=on:plsqc=1:plsqr=183491,1048576:sac=on:tgt=ground:i=90:si=on:rtra=on_0 on theBenchmark for (2994ds/90Mi)
% 4.27/0.99 % (12555)dis+1004_16:1_avsq=on:avsqr=1,16:cnfonf=lazy_gen:cs=on:fe=off:tgt=ground:tnu=1:i=231:si=on:rtra=on_0 on theBenchmark for (2994ds/231Mi)
% 4.59/1.03 % (12549)Instruction limit reached!
% 4.59/1.03 % (12549)------------------------------
% 4.59/1.03 % (12549)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 4.59/1.03 % (12549)Termination reason: Unknown
% 4.59/1.03 % (12549)Termination phase: Saturation
% 4.59/1.03
% 4.59/1.03 % (12549)Memory used [KB]: 6140
% 4.59/1.03 % (12549)Time elapsed: 0.130 s
% 4.59/1.03 % (12549)Instructions burned: 283 (million)
% 4.59/1.03 % (12549)------------------------------
% 4.59/1.03 % (12549)------------------------------
% 4.59/1.03 % (12554)Instruction limit reached!
% 4.59/1.03 % (12554)------------------------------
% 4.59/1.03 % (12554)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 4.59/1.03 % (12554)Termination reason: Unknown
% 4.59/1.03 % (12554)Termination phase: Saturation
% 4.59/1.03
% 4.59/1.03 % (12554)Memory used [KB]: 6012
% 4.59/1.03 % (12554)Time elapsed: 0.051 s
% 4.59/1.03 % (12554)Instructions burned: 90 (million)
% 4.59/1.03 % (12554)------------------------------
% 4.59/1.03 % (12554)------------------------------
% 4.59/1.04 % (12556)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 (2993ds/458Mi)
% 4.59/1.05 % (12557)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)
% 4.59/1.05 % (12552)Instruction limit reached!
% 4.59/1.05 % (12552)------------------------------
% 4.59/1.05 % (12552)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 4.59/1.05 % (12552)Termination reason: Unknown
% 4.59/1.05 % (12552)Termination phase: Saturation
% 4.59/1.05
% 4.59/1.05 % (12552)Memory used [KB]: 6396
% 4.59/1.05 % (12552)Time elapsed: 0.084 s
% 4.59/1.05 % (12552)Instructions burned: 193 (million)
% 4.59/1.05 % (12552)------------------------------
% 4.59/1.05 % (12552)------------------------------
% 4.59/1.06 % (12557)Instruction limit reached!
% 4.59/1.06 % (12557)------------------------------
% 4.59/1.06 % (12557)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 4.59/1.06 % (12557)Termination reason: Unknown
% 4.59/1.06 % (12557)Termination phase: Saturation
% 4.59/1.06
% 4.59/1.06 % (12557)Memory used [KB]: 5628
% 4.59/1.06 % (12557)Time elapsed: 0.014 s
% 4.59/1.06 % (12557)Instructions burned: 31 (million)
% 4.59/1.06 % (12557)------------------------------
% 4.59/1.06 % (12557)------------------------------
% 4.59/1.06 % (12548)Instruction limit reached!
% 4.59/1.06 % (12548)------------------------------
% 4.59/1.06 % (12548)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 4.59/1.06 % (12548)Termination reason: Unknown
% 4.59/1.06 % (12548)Termination phase: Saturation
% 4.59/1.06
% 4.59/1.06 % (12548)Memory used [KB]: 6652
% 4.59/1.06 % (12548)Time elapsed: 0.159 s
% 4.59/1.06 % (12548)Instructions burned: 340 (million)
% 4.59/1.06 % (12548)------------------------------
% 4.59/1.06 % (12548)------------------------------
% 4.59/1.06 % (12558)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 (2993ds/297Mi)
% 4.59/1.07 % (12551)Instruction limit reached!
% 4.59/1.07 % (12551)------------------------------
% 4.59/1.07 % (12551)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 4.59/1.07 % (12551)Termination reason: Unknown
% 4.59/1.07 % (12551)Termination phase: Saturation
% 4.59/1.07
% 4.59/1.07 % (12551)Memory used [KB]: 6396
% 4.59/1.07 % (12551)Time elapsed: 0.140 s
% 4.59/1.07 % (12551)Instructions burned: 299 (million)
% 4.59/1.07 % (12551)------------------------------
% 4.59/1.07 % (12551)------------------------------
% 4.59/1.07 % (12558)Refutation not found, incomplete strategy
% 4.59/1.07 % (12558)------------------------------
% 4.59/1.07 % (12558)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 4.59/1.07 % (12558)Termination reason: Refutation not found, incomplete strategy
% 4.59/1.07
% 4.59/1.07
% 4.59/1.07 % (12558)Memory used [KB]: 5628
% 4.59/1.07 % (12558)Time elapsed: 0.007 s
% 4.59/1.07 % (12558)Instructions burned: 11 (million)
% 4.59/1.07 % (12558)------------------------------
% 4.59/1.07 % (12558)------------------------------
% 4.59/1.07 % (12559)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 (2993ds/987Mi)
% 4.59/1.07 % (12560)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 (2993ds/182Mi)
% 5.60/1.08 % (12561)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 (2993ds/182Mi)
% 5.60/1.08 % (12562)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 (2993ds/154Mi)
% 5.60/1.09 % (12553)Instruction limit reached!
% 5.60/1.09 % (12553)------------------------------
% 5.60/1.09 % (12553)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 5.60/1.10 % (12553)Termination reason: Unknown
% 5.60/1.10 % (12553)Termination phase: Saturation
% 5.60/1.10
% 5.60/1.10 % (12553)Memory used [KB]: 6780
% 5.60/1.10 % (12553)Time elapsed: 0.116 s
% 5.60/1.10 % (12553)Instructions burned: 259 (million)
% 5.60/1.10 % (12553)------------------------------
% 5.60/1.10 % (12553)------------------------------
% 5.60/1.11 % (12563)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 (2992ds/79Mi)
% 5.60/1.14 % (12555)Instruction limit reached!
% 5.60/1.14 % (12555)------------------------------
% 5.60/1.14 % (12555)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 5.60/1.14 % (12555)Termination reason: Unknown
% 5.60/1.14 % (12555)Termination phase: Saturation
% 5.60/1.14
% 5.60/1.14 % (12555)Memory used [KB]: 6652
% 5.60/1.14 % (12555)Time elapsed: 0.155 s
% 5.60/1.14 % (12555)Instructions burned: 231 (million)
% 5.60/1.14 % (12555)------------------------------
% 5.60/1.14 % (12555)------------------------------
% 5.60/1.14 % (12563)Instruction limit reached!
% 5.60/1.14 % (12563)------------------------------
% 5.60/1.14 % (12563)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 5.60/1.14 % (12563)Termination reason: Unknown
% 5.60/1.14 % (12563)Termination phase: Saturation
% 5.60/1.14
% 5.60/1.14 % (12563)Memory used [KB]: 5884
% 5.60/1.14 % (12563)Time elapsed: 0.035 s
% 5.60/1.14 % (12563)Instructions burned: 80 (million)
% 5.60/1.14 % (12563)------------------------------
% 5.60/1.14 % (12563)------------------------------
% 5.60/1.15 % (12560)Instruction limit reached!
% 5.60/1.15 % (12560)------------------------------
% 5.60/1.15 % (12560)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 5.60/1.15 % (12562)Instruction limit reached!
% 5.60/1.15 % (12562)------------------------------
% 5.60/1.15 % (12562)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 5.60/1.15 % (12562)Termination reason: Unknown
% 5.60/1.15 % (12562)Termination phase: Saturation
% 5.60/1.15
% 5.60/1.15 % (12562)Memory used [KB]: 6012
% 5.60/1.15 % (12562)Time elapsed: 0.073 s
% 5.60/1.15 % (12564)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 (2992ds/216Mi)
% 5.60/1.15 % (12562)Instructions burned: 155 (million)
% 5.60/1.15 % (12562)------------------------------
% 5.60/1.15 % (12562)------------------------------
% 5.60/1.15 % (12560)Termination reason: Unknown
% 5.60/1.15 % (12560)Termination phase: Saturation
% 5.60/1.15
% 5.60/1.15 % (12560)Memory used [KB]: 6140
% 5.60/1.15 % (12560)Time elapsed: 0.080 s
% 5.60/1.15 % (12560)Instructions burned: 184 (million)
% 5.60/1.15 % (12560)------------------------------
% 5.60/1.15 % (12560)------------------------------
% 5.60/1.16 % (12565)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 (2992ds/114Mi)
% 6.17/1.17 % (12566)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 (2992ds/922Mi)
% 6.17/1.17 % (12567)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 (2992ds/182Mi)
% 6.17/1.17 % (12565)Refutation not found, incomplete strategy
% 6.17/1.17 % (12565)------------------------------
% 6.17/1.17 % (12565)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 6.17/1.17 % (12565)Termination reason: Refutation not found, incomplete strategy
% 6.17/1.17
% 6.17/1.17
% 6.17/1.17 % (12565)Memory used [KB]: 5628
% 6.17/1.17 % (12565)Time elapsed: 0.013 s
% 6.17/1.17 % (12565)Instructions burned: 29 (million)
% 6.17/1.17 % (12565)------------------------------
% 6.17/1.17 % (12565)------------------------------
% 6.17/1.17 % (12564)Refutation not found, incomplete strategy
% 6.17/1.17 % (12564)------------------------------
% 6.17/1.17 % (12564)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 6.17/1.17 % (12561)Instruction limit reached!
% 6.17/1.17 % (12561)------------------------------
% 6.17/1.17 % (12561)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 6.17/1.17 % (12561)Termination reason: Unknown
% 6.17/1.17 % (12561)Termination phase: Saturation
% 6.17/1.17
% 6.17/1.17 % (12561)Memory used [KB]: 5884
% 6.17/1.17 % (12561)Time elapsed: 0.093 s
% 6.17/1.17 % (12561)Instructions burned: 183 (million)
% 6.17/1.17 % (12561)------------------------------
% 6.17/1.17 % (12561)------------------------------
% 6.17/1.17 % (12564)Termination reason: Refutation not found, incomplete strategy
% 6.17/1.17
% 6.17/1.17
% 6.17/1.17 % (12564)Memory used [KB]: 5628
% 6.17/1.17 % (12564)Time elapsed: 0.021 s
% 6.17/1.17 % (12564)Instructions burned: 45 (million)
% 6.17/1.17 % (12564)------------------------------
% 6.17/1.17 % (12564)------------------------------
% 6.17/1.17 % (12546)Instruction limit reached!
% 6.17/1.17 % (12546)------------------------------
% 6.17/1.17 % (12546)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 6.17/1.17 % (12546)Termination reason: Unknown
% 6.17/1.17 % (12546)Termination phase: Saturation
% 6.17/1.17
% 6.17/1.17 % (12546)Memory used [KB]: 8443
% 6.17/1.17 % (12546)Time elapsed: 0.299 s
% 6.17/1.17 % (12546)Instructions burned: 614 (million)
% 6.17/1.17 % (12546)------------------------------
% 6.17/1.17 % (12546)------------------------------
% 6.17/1.18 % (12568)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 (2992ds/164Mi)
% 6.17/1.18 % (12569)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 (2992ds/50Mi)
% 6.17/1.18 % (12570)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 (2992ds/368Mi)
% 6.17/1.19 % (12568)Refutation not found, incomplete strategy
% 6.17/1.19 % (12568)------------------------------
% 6.17/1.19 % (12568)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 6.17/1.19 % (12568)Termination reason: Refutation not found, incomplete strategy
% 6.17/1.19
% 6.17/1.19
% 6.17/1.19 % (12568)Memory used [KB]: 1023
% 6.17/1.19 % (12568)Time elapsed: 0.006 s
% 6.17/1.19 % (12568)Instructions burned: 9 (million)
% 6.17/1.19 % (12568)------------------------------
% 6.17/1.19 % (12568)------------------------------
% 6.17/1.19 % (12571)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 (2992ds/1021Mi)
% 6.17/1.20 % (12572)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 (2992ds/267Mi)
% 6.17/1.21 % (12569)Instruction limit reached!
% 6.17/1.21 % (12569)------------------------------
% 6.17/1.21 % (12569)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 6.17/1.21 % (12569)Termination reason: Unknown
% 6.17/1.21 % (12569)Termination phase: Saturation
% 6.17/1.21
% 6.17/1.21 % (12569)Memory used [KB]: 10234
% 6.17/1.21 % (12569)Time elapsed: 0.023 s
% 6.17/1.21 % (12569)Instructions burned: 51 (million)
% 6.17/1.21 % (12569)------------------------------
% 6.17/1.21 % (12569)------------------------------
% 6.44/1.22 % (12573)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 (2991ds/204Mi)
% 6.48/1.24 % (12567)Instruction limit reached!
% 6.48/1.24 % (12567)------------------------------
% 6.48/1.24 % (12567)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 6.48/1.24 % (12567)Termination reason: Unknown
% 6.48/1.24 % (12567)Termination phase: Saturation
% 6.48/1.24
% 6.48/1.24 % (12567)Memory used [KB]: 5756
% 6.48/1.24 % (12567)Time elapsed: 0.080 s
% 6.48/1.24 % (12567)Instructions burned: 183 (million)
% 6.48/1.24 % (12567)------------------------------
% 6.48/1.24 % (12567)------------------------------
% 6.48/1.26 % (12574)dis+2_1:1024_atotf=0.0802881:au=on:bs=unit_only:cnfonf=lazy_not_gen_be_off:fde=none:nwc=10.0:prag=on:i=26:si=on:rtra=on_0 on theBenchmark for (2991ds/26Mi)
% 6.48/1.26 % (12556)Instruction limit reached!
% 6.48/1.26 % (12556)------------------------------
% 6.48/1.26 % (12556)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 6.48/1.26 % (12556)Termination reason: Unknown
% 6.48/1.26 % (12556)Termination phase: Saturation
% 6.48/1.26
% 6.48/1.26 % (12556)Memory used [KB]: 7803
% 6.48/1.26 % (12556)Time elapsed: 0.222 s
% 6.48/1.26 % (12556)Instructions burned: 458 (million)
% 6.48/1.26 % (12556)------------------------------
% 6.48/1.26 % (12556)------------------------------
% 6.48/1.27 % (12574)Instruction limit reached!
% 6.48/1.27 % (12574)------------------------------
% 6.48/1.27 % (12574)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 6.48/1.27 % (12574)Termination reason: Unknown
% 6.48/1.27 % (12574)Termination phase: Saturation
% 6.48/1.27
% 6.48/1.27 % (12574)Memory used [KB]: 5628
% 6.48/1.27 % (12574)Time elapsed: 0.037 s
% 6.48/1.27 % (12574)Instructions burned: 27 (million)
% 6.48/1.27 % (12574)------------------------------
% 6.48/1.27 % (12574)------------------------------
% 6.48/1.28 % (12575)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 (2991ds/53Mi)
% 6.48/1.29 % (12576)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 (2991ds/4436Mi)
% 6.48/1.29 % (12576)Refutation not found, incomplete strategy
% 6.48/1.29 % (12576)------------------------------
% 6.48/1.29 % (12576)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 6.48/1.29 % (12576)Termination reason: Refutation not found, incomplete strategy
% 6.48/1.29
% 6.48/1.29
% 6.48/1.29 % (12576)Memory used [KB]: 5628
% 6.48/1.29 % (12576)Time elapsed: 0.029 s
% 6.48/1.29 % (12576)Instructions burned: 12 (million)
% 6.48/1.29 % (12576)------------------------------
% 6.48/1.29 % (12576)------------------------------
% 6.48/1.30 % (12575)Instruction limit reached!
% 6.48/1.30 % (12575)------------------------------
% 6.48/1.30 % (12575)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 6.48/1.30 % (12575)Termination reason: Unknown
% 6.48/1.30 % (12575)Termination phase: Saturation
% 6.48/1.30
% 6.48/1.30 % (12575)Memory used [KB]: 5628
% 6.48/1.30 % (12575)Time elapsed: 0.045 s
% 6.48/1.30 % (12575)Instructions burned: 55 (million)
% 6.48/1.30 % (12575)------------------------------
% 6.48/1.30 % (12575)------------------------------
% 6.48/1.31 % (12577)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 (2991ds/1539Mi)
% 6.48/1.31 % (12573)Instruction limit reached!
% 6.48/1.31 % (12573)------------------------------
% 6.48/1.31 % (12573)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 6.48/1.31 % (12573)Termination reason: Unknown
% 6.48/1.31 % (12573)Termination phase: Saturation
% 6.48/1.31
% 6.48/1.31 % (12573)Memory used [KB]: 6396
% 6.48/1.31 % (12573)Time elapsed: 0.090 s
% 6.48/1.31 % (12573)Instructions burned: 205 (million)
% 6.48/1.31 % (12573)------------------------------
% 6.48/1.31 % (12573)------------------------------
% 6.48/1.32 % (12578)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 (2990ds/408Mi)
% 6.48/1.32 % (12572)Instruction limit reached!
% 6.48/1.32 % (12572)------------------------------
% 6.48/1.32 % (12572)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 6.48/1.32 % (12572)Termination reason: Unknown
% 6.48/1.32 % (12572)Termination phase: Saturation
% 6.48/1.32
% 6.48/1.32 % (12572)Memory used [KB]: 6140
% 6.48/1.32 % (12572)Time elapsed: 0.140 s
% 6.48/1.32 % (12572)Instructions burned: 269 (million)
% 6.48/1.32 % (12572)------------------------------
% 6.48/1.32 % (12572)------------------------------
% 6.48/1.32 % (12579)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 (2990ds/5205Mi)
% 6.92/1.34 % (12580)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 (2990ds/1913Mi)
% 6.92/1.35 % (12580)Refutation not found, incomplete strategy
% 6.92/1.35 % (12580)------------------------------
% 6.92/1.35 % (12580)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 6.92/1.35 % (12580)Termination reason: Refutation not found, incomplete strategy
% 6.92/1.35
% 6.92/1.35
% 6.92/1.35 % (12580)Memory used [KB]: 1151
% 6.92/1.35 % (12580)Time elapsed: 0.015 s
% 6.92/1.35 % (12580)Instructions burned: 31 (million)
% 6.92/1.35 % (12580)------------------------------
% 6.92/1.35 % (12580)------------------------------
% 6.92/1.36 % (12570)Instruction limit reached!
% 6.92/1.36 % (12570)------------------------------
% 6.92/1.36 % (12570)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 6.92/1.36 % (12570)Termination reason: Unknown
% 6.92/1.36 % (12570)Termination phase: Saturation
% 6.92/1.36
% 6.92/1.36 % (12570)Memory used [KB]: 7675
% 6.92/1.36 % (12570)Time elapsed: 0.175 s
% 6.92/1.36 % (12570)Instructions burned: 369 (million)
% 6.92/1.36 % (12570)------------------------------
% 6.92/1.36 % (12570)------------------------------
% 6.92/1.36 % (12581)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 (2990ds/4350Mi)
% 6.92/1.37 % (12582)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 (2990ds/68Mi)
% 7.14/1.40 % (12582)Instruction limit reached!
% 7.14/1.40 % (12582)------------------------------
% 7.14/1.40 % (12582)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 7.14/1.40 % (12582)Termination reason: Unknown
% 7.14/1.40 % (12582)Termination phase: Saturation
% 7.14/1.40
% 7.14/1.40 % (12582)Memory used [KB]: 5756
% 7.14/1.40 % (12582)Time elapsed: 0.029 s
% 7.14/1.40 % (12582)Instructions burned: 68 (million)
% 7.14/1.40 % (12582)------------------------------
% 7.14/1.40 % (12582)------------------------------
% 7.14/1.41 % (12583)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 (2989ds/358Mi)
% 7.14/1.42 % (12583)Refutation not found, incomplete strategy
% 7.14/1.42 % (12583)------------------------------
% 7.14/1.42 % (12583)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 7.14/1.42 % (12583)Termination reason: Refutation not found, incomplete strategy
% 7.14/1.42
% 7.14/1.42
% 7.14/1.42 % (12583)Memory used [KB]: 5628
% 7.14/1.42 % (12583)Time elapsed: 0.010 s
% 7.14/1.42 % (12583)Instructions burned: 18 (million)
% 7.14/1.42 % (12583)------------------------------
% 7.14/1.42 % (12583)------------------------------
% 7.14/1.44 % (12584)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 (2989ds/31Mi)
% 7.20/1.45 % (12584)Instruction limit reached!
% 7.20/1.45 % (12584)------------------------------
% 7.20/1.45 % (12584)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 7.20/1.45 % (12584)Termination reason: Unknown
% 7.20/1.45 % (12584)Termination phase: Saturation
% 7.20/1.45
% 7.20/1.45 % (12584)Memory used [KB]: 5628
% 7.20/1.45 % (12584)Time elapsed: 0.014 s
% 7.20/1.45 % (12584)Instructions burned: 32 (million)
% 7.20/1.45 % (12584)------------------------------
% 7.20/1.45 % (12584)------------------------------
% 7.23/1.46 % (12585)lrs+10_1:1_cnfonf=lazy_simp:sgt=5:sos=on:ss=axioms:i=279:si=on:rtra=on_0 on theBenchmark for (2989ds/279Mi)
% 7.23/1.51 % (12578)Instruction limit reached!
% 7.23/1.51 % (12578)------------------------------
% 7.23/1.51 % (12578)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 7.23/1.51 % (12578)Termination reason: Unknown
% 7.23/1.51 % (12578)Termination phase: Saturation
% 7.23/1.51
% 7.23/1.51 % (12578)Memory used [KB]: 6780
% 7.23/1.51 % (12578)Time elapsed: 0.194 s
% 7.23/1.51 % (12578)Instructions burned: 410 (million)
% 7.23/1.51 % (12578)------------------------------
% 7.23/1.51 % (12578)------------------------------
% 7.43/1.52 % (12586)lrs+10_8:1_au=on:fde=none:slsq=on:i=258:si=on:rtra=on_0 on theBenchmark for (2988ds/258Mi)
% 7.43/1.53 % (12559)Instruction limit reached!
% 7.43/1.53 % (12559)------------------------------
% 7.43/1.53 % (12559)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 7.43/1.53 % (12559)Termination reason: Unknown
% 7.43/1.53 % (12559)Termination phase: Saturation
% 7.43/1.53
% 7.43/1.53 % (12559)Memory used [KB]: 7164
% 7.43/1.53 % (12559)Time elapsed: 0.460 s
% 7.43/1.53 % (12559)Instructions burned: 987 (million)
% 7.43/1.53 % (12559)------------------------------
% 7.43/1.53 % (12559)------------------------------
% 7.90/1.54 % (12587)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 (2988ds/26Mi)
% 7.90/1.56 % (12587)Instruction limit reached!
% 7.90/1.56 % (12587)------------------------------
% 7.90/1.56 % (12587)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 7.90/1.56 % (12587)Termination reason: Unknown
% 7.90/1.56 % (12587)Termination phase: Saturation
% 7.90/1.56
% 7.90/1.56 % (12587)Memory used [KB]: 5628
% 7.90/1.56 % (12587)Time elapsed: 0.016 s
% 7.90/1.56 % (12587)Instructions burned: 26 (million)
% 7.90/1.56 % (12587)------------------------------
% 7.90/1.56 % (12587)------------------------------
% 7.90/1.57 % (12588)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 (2988ds/995Mi)
% 7.90/1.59 % (12585)Instruction limit reached!
% 7.90/1.59 % (12585)------------------------------
% 7.90/1.59 % (12585)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 7.90/1.59 % (12585)Termination reason: Unknown
% 7.90/1.59 % (12585)Termination phase: Saturation
% 7.90/1.59
% 7.90/1.59 % (12585)Memory used [KB]: 6012
% 7.90/1.59 % (12585)Time elapsed: 0.129 s
% 7.90/1.59 % (12585)Instructions burned: 279 (million)
% 7.90/1.59 % (12585)------------------------------
% 7.90/1.59 % (12585)------------------------------
% 7.90/1.61 % (12589)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 (2987ds/373Mi)
% 8.08/1.63 % (12566)Instruction limit reached!
% 8.08/1.63 % (12566)------------------------------
% 8.08/1.63 % (12566)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 8.08/1.63 % (12566)Termination reason: Unknown
% 8.08/1.63 % (12566)Termination phase: Saturation
% 8.08/1.63
% 8.08/1.63 % (12566)Memory used [KB]: 9978
% 8.08/1.63 % (12566)Time elapsed: 0.465 s
% 8.08/1.63 % (12566)Instructions burned: 922 (million)
% 8.08/1.63 % (12566)------------------------------
% 8.08/1.63 % (12566)------------------------------
% 8.08/1.64 % (12590)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 (2987ds/253Mi)
% 8.08/1.65 % (12586)Refutation not found, non-redundant clauses discarded% (12586)------------------------------
% 8.08/1.65 % (12586)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 8.08/1.65 % (12586)Termination reason: Refutation not found, non-redundant clauses discarded
% 8.08/1.65
% 8.08/1.65 % (12586)Memory used [KB]: 6140
% 8.08/1.65 % (12586)Time elapsed: 0.126 s
% 8.08/1.65 % (12586)Instructions burned: 242 (million)
% 8.08/1.65 % (12586)------------------------------
% 8.08/1.65 % (12586)------------------------------
% 8.08/1.66 % (12591)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 (2987ds/832Mi)
% 8.08/1.67 % (12591)Refutation not found, incomplete strategy
% 8.08/1.67 % (12591)------------------------------
% 8.08/1.67 % (12591)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 8.08/1.67 % (12591)Termination reason: Refutation not found, incomplete strategy
% 8.08/1.67
% 8.08/1.67
% 8.08/1.67 % (12591)Memory used [KB]: 5500
% 8.08/1.67 % (12591)Time elapsed: 0.005 s
% 8.08/1.67 % (12591)Instructions burned: 7 (million)
% 8.08/1.67 % (12591)------------------------------
% 8.08/1.67 % (12591)------------------------------
% 8.08/1.68 % (12592)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 (2987ds/668Mi)
% 8.08/1.69 % (12571)Instruction limit reached!
% 8.08/1.69 % (12571)------------------------------
% 8.08/1.69 % (12571)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 8.08/1.69 % (12571)Termination reason: Unknown
% 8.08/1.69 % (12571)Termination phase: Saturation
% 8.08/1.69
% 8.08/1.69 % (12571)Memory used [KB]: 9466
% 8.08/1.69 % (12571)Time elapsed: 0.508 s
% 8.08/1.69 % (12571)Instructions burned: 1021 (million)
% 8.08/1.69 % (12571)------------------------------
% 8.08/1.69 % (12571)------------------------------
% 8.08/1.71 % (12593)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 (2986ds/40Mi)
% 10.63/1.72 % (12593)Instruction limit reached!
% 10.63/1.72 % (12593)------------------------------
% 10.63/1.72 % (12593)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 10.63/1.72 % (12593)Termination reason: Unknown
% 10.63/1.72 % (12593)Termination phase: Saturation
% 10.63/1.72
% 10.63/1.72 % (12593)Memory used [KB]: 5628
% 10.63/1.72 % (12593)Time elapsed: 0.018 s
% 10.63/1.72 % (12593)Instructions burned: 40 (million)
% 10.63/1.72 % (12593)------------------------------
% 10.63/1.72 % (12593)------------------------------
% 10.63/1.74 % (12594)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 (2986ds/294Mi)
% 10.63/1.76 % (12590)Instruction limit reached!
% 10.63/1.76 % (12590)------------------------------
% 10.63/1.76 % (12590)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 10.63/1.76 % (12590)Termination reason: Unknown
% 10.63/1.76 % (12590)Termination phase: Saturation
% 10.63/1.76
% 10.63/1.76 % (12590)Memory used [KB]: 6140
% 10.63/1.76 % (12590)Time elapsed: 0.117 s
% 10.63/1.76 % (12590)Instructions burned: 253 (million)
% 10.63/1.76 % (12590)------------------------------
% 10.63/1.76 % (12590)------------------------------
% 10.63/1.77 % (12595)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 (2986ds/187Mi)
% 11.30/1.80 % (12589)Instruction limit reached!
% 11.30/1.80 % (12589)------------------------------
% 11.30/1.80 % (12589)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 11.30/1.80 % (12589)Termination reason: Unknown
% 11.30/1.80 % (12589)Termination phase: Saturation
% 11.30/1.80
% 11.30/1.80 % (12589)Memory used [KB]: 7164
% 11.30/1.80 % (12589)Time elapsed: 0.203 s
% 11.30/1.80 % (12589)Instructions burned: 374 (million)
% 11.30/1.80 % (12589)------------------------------
% 11.30/1.80 % (12589)------------------------------
% 11.42/1.81 % (12596)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 (2985ds/371Mi)
% 11.42/1.82 % (12596)Refutation not found, incomplete strategy
% 11.42/1.82 % (12596)------------------------------
% 11.42/1.82 % (12596)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 11.42/1.82 % (12596)Termination reason: Refutation not found, incomplete strategy
% 11.42/1.82
% 11.42/1.82
% 11.42/1.82 % (12596)Memory used [KB]: 5500
% 11.42/1.82 % (12596)Time elapsed: 0.006 s
% 11.42/1.82 % (12596)Instructions burned: 8 (million)
% 11.42/1.82 % (12596)------------------------------
% 11.42/1.82 % (12596)------------------------------
% 11.42/1.83 % (12597)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 (2985ds/1827Mi)
% 11.42/1.85 % (12595)Instruction limit reached!
% 11.42/1.85 % (12595)------------------------------
% 11.42/1.85 % (12595)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 11.42/1.85 % (12595)Termination reason: Unknown
% 11.42/1.85 % (12595)Termination phase: Saturation
% 11.42/1.85
% 11.42/1.85 % (12595)Memory used [KB]: 6140
% 11.42/1.85 % (12595)Time elapsed: 0.081 s
% 11.42/1.85 % (12595)Instructions burned: 188 (million)
% 11.42/1.85 % (12595)------------------------------
% 11.42/1.85 % (12595)------------------------------
% 11.42/1.87 % (12598)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 (2985ds/70Mi)
% 11.42/1.87 % (12594)Instruction limit reached!
% 11.42/1.87 % (12594)------------------------------
% 11.42/1.87 % (12594)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 11.42/1.87 % (12594)Termination reason: Unknown
% 11.42/1.87 % (12594)Termination phase: Saturation
% 11.42/1.87
% 11.42/1.87 % (12594)Memory used [KB]: 6012
% 11.42/1.87 % (12594)Time elapsed: 0.131 s
% 11.42/1.87 % (12594)Instructions burned: 294 (million)
% 11.42/1.87 % (12594)------------------------------
% 11.42/1.87 % (12594)------------------------------
% 11.42/1.88 % (12599)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 (2985ds/316Mi)
% 11.42/1.90 % (12598)Instruction limit reached!
% 11.42/1.90 % (12598)------------------------------
% 11.42/1.90 % (12598)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 11.42/1.90 % (12598)Termination reason: Unknown
% 11.42/1.90 % (12598)Termination phase: Saturation
% 11.42/1.90
% 11.42/1.90 % (12598)Memory used [KB]: 1279
% 11.42/1.90 % (12598)Time elapsed: 0.032 s
% 11.42/1.90 % (12598)Instructions burned: 70 (million)
% 11.42/1.90 % (12598)------------------------------
% 11.42/1.90 % (12598)------------------------------
% 12.15/1.91 % (12600)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 (2984ds/932Mi)
% 12.15/1.95 % (12592)Instruction limit reached!
% 12.15/1.95 % (12592)------------------------------
% 12.15/1.95 % (12592)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 12.15/1.95 % (12592)Termination reason: Unknown
% 12.15/1.95 % (12592)Termination phase: Saturation
% 12.15/1.95
% 12.15/1.95 % (12592)Memory used [KB]: 10490
% 12.15/1.95 % (12592)Time elapsed: 0.275 s
% 12.15/1.95 % (12592)Instructions burned: 668 (million)
% 12.15/1.95 % (12592)------------------------------
% 12.15/1.95 % (12592)------------------------------
% 12.15/1.97 % (12601)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 (2984ds/4714Mi)
% 12.54/2.02 % (12588)Refutation not found, non-redundant clauses discarded% (12588)------------------------------
% 12.54/2.02 % (12588)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 12.54/2.02 % (12588)Termination reason: Refutation not found, non-redundant clauses discarded
% 12.54/2.02
% 12.54/2.02 % (12588)Memory used [KB]: 7164
% 12.54/2.02 % (12588)Time elapsed: 0.445 s
% 12.54/2.02 % (12588)Instructions burned: 931 (million)
% 12.54/2.02 % (12588)------------------------------
% 12.54/2.02 % (12588)------------------------------
% 12.54/2.03 % (12599)Instruction limit reached!
% 12.54/2.03 % (12599)------------------------------
% 12.54/2.03 % (12599)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 12.54/2.03 % (12599)Termination reason: Unknown
% 12.54/2.03 % (12599)Termination phase: Saturation
% 12.54/2.03
% 12.54/2.03 % (12599)Memory used [KB]: 6140
% 12.54/2.03 % (12599)Time elapsed: 0.148 s
% 12.54/2.03 % (12599)Instructions burned: 318 (million)
% 12.54/2.03 % (12599)------------------------------
% 12.54/2.03 % (12599)------------------------------
% 12.54/2.03 % (12602)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 (2983ds/8250Mi)
% 12.54/2.04 % (12603)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 (2983ds/770Mi)
% 12.54/2.05 % (12603)Refutation not found, incomplete strategy
% 12.54/2.05 % (12603)------------------------------
% 12.54/2.05 % (12603)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 12.54/2.05 % (12603)Termination reason: Refutation not found, incomplete strategy
% 12.54/2.05
% 12.54/2.05
% 12.54/2.05 % (12603)Memory used [KB]: 5500
% 12.54/2.05 % (12603)Time elapsed: 0.005 s
% 12.54/2.05 % (12603)Instructions burned: 8 (million)
% 12.54/2.05 % (12603)------------------------------
% 12.54/2.05 % (12603)------------------------------
% 12.54/2.05 % (12577)Instruction limit reached!
% 12.54/2.05 % (12577)------------------------------
% 12.54/2.05 % (12577)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 12.54/2.05 % (12577)Termination reason: Unknown
% 12.54/2.05 % (12577)Termination phase: Saturation
% 12.54/2.05
% 12.54/2.05 % (12577)Memory used [KB]: 9338
% 12.54/2.05 % (12577)Time elapsed: 0.772 s
% 12.54/2.05 % (12577)Instructions burned: 1539 (million)
% 12.54/2.05 % (12577)------------------------------
% 12.54/2.05 % (12577)------------------------------
% 12.54/2.06 % (12604)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 (2983ds/794Mi)
% 12.54/2.07 % (12605)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 (2983ds/464Mi)
% 12.54/2.07 % (12604)Refutation not found, incomplete strategy
% 12.54/2.07 % (12604)------------------------------
% 12.54/2.07 % (12604)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 12.54/2.07 % (12604)Termination reason: Refutation not found, incomplete strategy
% 12.54/2.07
% 12.54/2.07
% 12.54/2.07 % (12604)Memory used [KB]: 1151
% 12.54/2.07 % (12604)Time elapsed: 0.035 s
% 12.54/2.07 % (12604)Instructions burned: 31 (million)
% 12.54/2.07 % (12604)------------------------------
% 12.54/2.07 % (12604)------------------------------
% 13.05/2.09 % (12606)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 (2983ds/1376Mi)
% 14.73/2.27 % (12605)Instruction limit reached!
% 14.73/2.27 % (12605)------------------------------
% 14.73/2.27 % (12605)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 14.73/2.27 % (12605)Termination reason: Unknown
% 14.73/2.27 % (12605)Termination phase: Saturation
% 14.73/2.27
% 14.73/2.27 % (12605)Memory used [KB]: 6652
% 14.73/2.27 % (12605)Time elapsed: 0.205 s
% 14.73/2.27 % (12605)Instructions burned: 465 (million)
% 14.73/2.27 % (12605)------------------------------
% 14.73/2.27 % (12605)------------------------------
% 14.73/2.29 % (12607)dis+10_1:1_etr=on:plsq=on:plsqc=1:plsqr=32,1:i=906:si=on:rtra=on_0 on theBenchmark for (2981ds/906Mi)
% 15.45/2.33 % (12600)Instruction limit reached!
% 15.45/2.33 % (12600)------------------------------
% 15.45/2.33 % (12600)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 15.45/2.33 % (12600)Termination reason: Unknown
% 15.45/2.33 % (12600)Termination phase: Saturation
% 15.45/2.33
% 15.45/2.33 % (12600)Memory used [KB]: 7036
% 15.45/2.33 % (12600)Time elapsed: 0.416 s
% 15.45/2.33 % (12600)Instructions burned: 932 (million)
% 15.45/2.33 % (12600)------------------------------
% 15.45/2.33 % (12600)------------------------------
% 15.45/2.34 % (12608)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 (2980ds/434Mi)
% 15.45/2.34 % (12608)Refutation not found, incomplete strategy
% 15.45/2.34 % (12608)------------------------------
% 15.45/2.34 % (12608)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 15.45/2.34 % (12608)Termination reason: Refutation not found, incomplete strategy
% 15.45/2.34
% 15.45/2.34
% 15.45/2.34 % (12608)Memory used [KB]: 5500
% 15.45/2.34 % (12608)Time elapsed: 0.004 s
% 15.45/2.34 % (12608)Instructions burned: 6 (million)
% 15.45/2.34 % (12608)------------------------------
% 15.45/2.34 % (12608)------------------------------
% 15.45/2.36 % (12609)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 (2980ds/865Mi)
% 17.87/2.73 % (12606)Instruction limit reached!
% 17.87/2.73 % (12606)------------------------------
% 17.87/2.73 % (12606)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 17.87/2.73 % (12606)Termination reason: Unknown
% 17.87/2.73 % (12606)Termination phase: Saturation
% 17.87/2.73
% 17.87/2.73 % (12606)Memory used [KB]: 9083
% 17.87/2.73 % (12606)Time elapsed: 0.665 s
% 17.87/2.73 % (12606)Instructions burned: 1376 (million)
% 17.87/2.73 % (12606)------------------------------
% 17.87/2.73 % (12606)------------------------------
% 17.87/2.73 % (12607)Instruction limit reached!
% 17.87/2.73 % (12607)------------------------------
% 17.87/2.73 % (12607)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 17.87/2.73 % (12607)Termination reason: Unknown
% 17.87/2.73 % (12607)Termination phase: Saturation
% 17.87/2.73
% 17.87/2.73 % (12607)Memory used [KB]: 9850
% 17.87/2.73 % (12607)Time elapsed: 0.449 s
% 17.87/2.73 % (12607)Instructions burned: 906 (million)
% 17.87/2.73 % (12607)------------------------------
% 17.87/2.73 % (12607)------------------------------
% 17.87/2.74 % (12597)Instruction limit reached!
% 17.87/2.74 % (12597)------------------------------
% 17.87/2.74 % (12597)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 17.87/2.74 % (12597)Termination reason: Unknown
% 17.87/2.74 % (12597)Termination phase: Saturation
% 17.87/2.74
% 17.87/2.74 % (12597)Memory used [KB]: 8059
% 17.87/2.74 % (12597)Time elapsed: 0.915 s
% 17.87/2.74 % (12597)Instructions burned: 1828 (million)
% 17.87/2.74 % (12597)------------------------------
% 17.87/2.74 % (12597)------------------------------
% 17.87/2.74 % (12610)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 (2976ds/593Mi)
% 17.87/2.75 % (12611)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 (2976ds/443Mi)
% 17.87/2.75 % (12612)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 (2976ds/594Mi)
% 17.87/2.76 % (12612)Refutation not found, incomplete strategy
% 17.87/2.76 % (12612)------------------------------
% 17.87/2.76 % (12612)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 17.87/2.76 % (12612)Termination reason: Refutation not found, incomplete strategy
% 17.87/2.76
% 17.87/2.76
% 17.87/2.76 % (12612)Memory used [KB]: 5628
% 17.87/2.76 % (12612)Time elapsed: 0.009 s
% 17.87/2.76 % (12612)Instructions burned: 18 (million)
% 17.87/2.76 % (12612)------------------------------
% 17.87/2.76 % (12612)------------------------------
% 17.87/2.77 % (12609)Instruction limit reached!
% 17.87/2.77 % (12609)------------------------------
% 17.87/2.77 % (12609)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 17.87/2.77 % (12609)Termination reason: Unknown
% 17.87/2.77 % (12609)Termination phase: Saturation
% 17.87/2.77
% 17.87/2.77 % (12609)Memory used [KB]: 6908
% 17.87/2.77 % (12609)Time elapsed: 0.411 s
% 17.87/2.77 % (12609)Instructions burned: 865 (million)
% 17.87/2.77 % (12609)------------------------------
% 17.87/2.77 % (12609)------------------------------
% 17.87/2.78 % (12613)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 (2976ds/327Mi)
% 17.87/2.78 % (12614)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 (2976ds/5411Mi)
% 17.87/2.78 % (12614)Refutation not found, incomplete strategy
% 17.87/2.78 % (12614)------------------------------
% 17.87/2.78 % (12614)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 17.87/2.78 % (12614)Termination reason: Refutation not found, incomplete strategy
% 17.87/2.78
% 17.87/2.78
% 17.87/2.78 % (12614)Memory used [KB]: 5500
% 17.87/2.78 % (12614)Time elapsed: 0.006 s
% 17.87/2.79 % (12614)Instructions burned: 8 (million)
% 17.87/2.79 % (12614)------------------------------
% 17.87/2.79 % (12614)------------------------------
% 19.22/2.80 % (12615)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 (2975ds/1762Mi)
% 20.41/2.96 % (12611)Instruction limit reached!
% 20.41/2.96 % (12611)------------------------------
% 20.41/2.96 % (12611)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 20.41/2.96 % (12611)Termination reason: Unknown
% 20.41/2.96 % (12611)Termination phase: Saturation
% 20.41/2.96
% 20.41/2.96 % (12611)Memory used [KB]: 7931
% 20.41/2.96 % (12611)Time elapsed: 0.210 s
% 20.41/2.96 % (12611)Instructions burned: 443 (million)
% 20.41/2.96 % (12611)------------------------------
% 20.41/2.96 % (12611)------------------------------
% 20.41/2.96 % (12613)Instruction limit reached!
% 20.41/2.96 % (12613)------------------------------
% 20.41/2.96 % (12613)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 20.41/2.96 % (12613)Termination reason: Unknown
% 20.41/2.96 % (12613)Termination phase: Saturation
% 20.41/2.96
% 20.41/2.96 % (12613)Memory used [KB]: 6780
% 20.41/2.96 % (12613)Time elapsed: 0.193 s
% 20.41/2.96 % (12613)Instructions burned: 327 (million)
% 20.41/2.96 % (12613)------------------------------
% 20.41/2.96 % (12613)------------------------------
% 20.41/2.97 % (12616)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 (2974ds/96Mi)
% 20.41/2.97 % (12617)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 (2974ds/503Mi)
% 20.41/2.98 % (12617)Refutation not found, incomplete strategy
% 20.41/2.98 % (12617)------------------------------
% 20.41/2.98 % (12617)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 20.41/2.98 % (12617)Termination reason: Refutation not found, incomplete strategy
% 20.41/2.98
% 20.41/2.98
% 20.41/2.98 % (12617)Memory used [KB]: 5500
% 20.41/2.98 % (12617)Time elapsed: 0.006 s
% 20.41/2.98 % (12617)Instructions burned: 8 (million)
% 20.41/2.98 % (12617)------------------------------
% 20.41/2.98 % (12617)------------------------------
% 20.41/2.99 % (12618)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 (2974ds/90Mi)
% 20.98/3.01 % (12616)Instruction limit reached!
% 20.98/3.01 % (12616)------------------------------
% 20.98/3.01 % (12616)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 20.98/3.01 % (12616)Termination reason: Unknown
% 20.98/3.01 % (12616)Termination phase: Saturation
% 20.98/3.01
% 20.98/3.01 % (12616)Memory used [KB]: 5884
% 20.98/3.01 % (12616)Time elapsed: 0.046 s
% 20.98/3.01 % (12616)Instructions burned: 96 (million)
% 20.98/3.01 % (12616)------------------------------
% 20.98/3.01 % (12616)------------------------------
% 20.98/3.03 % (12610)Instruction limit reached!
% 20.98/3.03 % (12610)------------------------------
% 20.98/3.03 % (12610)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 20.98/3.03 % (12610)Termination reason: Unknown
% 20.98/3.03 % (12610)Termination phase: Saturation
% 20.98/3.03
% 20.98/3.03 % (12610)Memory used [KB]: 7164
% 20.98/3.03 % (12610)Time elapsed: 0.284 s
% 20.98/3.03 % (12610)Instructions burned: 593 (million)
% 20.98/3.03 % (12610)------------------------------
% 20.98/3.03 % (12610)------------------------------
% 20.98/3.03 % (12619)lrs+10_1:64_hud=5:plsq=on:plsqr=2011171,524288:i=593:si=on:rtra=on_0 on theBenchmark for (2973ds/593Mi)
% 20.98/3.04 % (12620)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 (2973ds/1512Mi)
% 20.98/3.04 % (12618)Instruction limit reached!
% 20.98/3.04 % (12618)------------------------------
% 20.98/3.04 % (12618)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 20.98/3.04 % (12618)Termination reason: Unknown
% 20.98/3.04 % (12618)Termination phase: Saturation
% 20.98/3.04
% 20.98/3.04 % (12618)Memory used [KB]: 6012
% 20.98/3.04 % (12618)Time elapsed: 0.052 s
% 20.98/3.04 % (12618)Instructions burned: 91 (million)
% 20.98/3.04 % (12618)------------------------------
% 20.98/3.04 % (12618)------------------------------
% 20.98/3.05 % (12620)Refutation not found, incomplete strategy
% 20.98/3.05 % (12620)------------------------------
% 20.98/3.05 % (12620)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 20.98/3.05 % (12620)Termination reason: Refutation not found, incomplete strategy
% 20.98/3.05
% 20.98/3.05
% 20.98/3.05 % (12620)Memory used [KB]: 5500
% 20.98/3.05 % (12620)Time elapsed: 0.007 s
% 20.98/3.05 % (12620)Instructions burned: 10 (million)
% 20.98/3.05 % (12620)------------------------------
% 20.98/3.05 % (12620)------------------------------
% 20.98/3.06 % (12621)lrs+1002_1:128_cbe=off:cnfonf=lazy_not_gen_be_off:ins=1:i=569:si=on:rtra=on_0 on theBenchmark for (2973ds/569Mi)
% 20.98/3.06 % (12622)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 (2973ds/501Mi)
% 20.98/3.07 % (12622)Refutation not found, incomplete strategy
% 20.98/3.07 % (12622)------------------------------
% 20.98/3.07 % (12622)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 20.98/3.07 % (12622)Termination reason: Refutation not found, incomplete strategy
% 20.98/3.07
% 20.98/3.07
% 20.98/3.07 % (12622)Memory used [KB]: 5628
% 20.98/3.07 % (12622)Time elapsed: 0.013 s
% 20.98/3.07 % (12622)Instructions burned: 29 (million)
% 20.98/3.07 % (12622)------------------------------
% 20.98/3.07 % (12622)------------------------------
% 21.49/3.09 % (12623)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 (2973ds/562Mi)
% 22.28/3.27 % (12619)Refutation not found, non-redundant clauses discarded% (12619)------------------------------
% 22.28/3.27 % (12619)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 22.28/3.27 % (12619)Termination reason: Refutation not found, non-redundant clauses discarded
% 22.28/3.27
% 22.28/3.27 % (12619)Memory used [KB]: 7931
% 22.28/3.27 % (12619)Time elapsed: 0.241 s
% 22.28/3.27 % (12619)Instructions burned: 499 (million)
% 22.28/3.27 % (12619)------------------------------
% 22.28/3.27 % (12619)------------------------------
% 22.28/3.28 % (12624)lrs+10_1:1_au=on:cnfonf=off:fde=unused:kws=precedence:tgt=full:i=406:si=on:rtra=on_0 on theBenchmark for (2971ds/406Mi)
% 22.92/3.31 % (12621)Instruction limit reached!
% 22.92/3.31 % (12621)------------------------------
% 22.92/3.31 % (12621)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 22.92/3.32 % (12621)Termination reason: Unknown
% 22.92/3.32 % (12621)Termination phase: Saturation
% 22.92/3.32
% 22.92/3.32 % (12621)Memory used [KB]: 6396
% 22.92/3.32 % (12621)Time elapsed: 0.261 s
% 22.92/3.32 % (12621)Instructions burned: 569 (million)
% 22.92/3.32 % (12621)------------------------------
% 22.92/3.32 % (12621)------------------------------
% 22.92/3.33 % (12625)dis+1004_1:128_au=on:cbe=off:e2e=on:sac=on:i=582:si=on:rtra=on_0 on theBenchmark for (2970ds/582Mi)
% 22.92/3.34 % (12623)Instruction limit reached!
% 22.92/3.34 % (12623)------------------------------
% 22.92/3.34 % (12623)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 22.92/3.34 % (12623)Termination reason: Unknown
% 22.92/3.34 % (12623)Termination phase: Saturation
% 22.92/3.34
% 22.92/3.34 % (12623)Memory used [KB]: 6396
% 22.92/3.34 % (12623)Time elapsed: 0.262 s
% 22.92/3.34 % (12623)Instructions burned: 563 (million)
% 22.92/3.34 % (12623)------------------------------
% 22.92/3.34 % (12623)------------------------------
% 22.92/3.36 % (12626)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 (2970ds/456Mi)
% 24.81/3.49 % (12624)Instruction limit reached!
% 24.81/3.49 % (12624)------------------------------
% 24.81/3.49 % (12624)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 24.81/3.49 % (12624)Termination reason: Unknown
% 24.81/3.49 % (12624)Termination phase: Saturation
% 24.81/3.49
% 24.81/3.49 % (12624)Memory used [KB]: 7547
% 24.81/3.49 % (12624)Time elapsed: 0.213 s
% 24.81/3.49 % (12624)Instructions burned: 406 (million)
% 24.81/3.49 % (12624)------------------------------
% 24.81/3.49 % (12624)------------------------------
% 24.81/3.50 % (12581)Instruction limit reached!
% 24.81/3.50 % (12581)------------------------------
% 24.81/3.50 % (12581)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 24.81/3.50 % (12581)Termination reason: Unknown
% 24.81/3.50 % (12581)Termination phase: Saturation
% 24.81/3.50
% 24.81/3.50 % (12581)Memory used [KB]: 14456
% 24.81/3.50 % (12581)Time elapsed: 2.132 s
% 24.81/3.50 % (12581)Instructions burned: 4350 (million)
% 24.81/3.50 % (12581)------------------------------
% 24.81/3.50 % (12581)------------------------------
% 24.81/3.51 % (12627)lrs+1010_1:1_au=on:cbe=off:cnfonf=conj_eager:tgt=ground:i=393:si=on:rtra=on_0 on theBenchmark for (2968ds/393Mi)
% 25.03/3.51 % (12628)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 (2968ds/1335Mi)
% 25.03/3.53 % (12628)Refutation not found, incomplete strategy
% 25.03/3.53 % (12628)------------------------------
% 25.03/3.53 % (12628)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 25.03/3.53 % (12628)Termination reason: Refutation not found, incomplete strategy
% 25.03/3.53
% 25.03/3.53
% 25.03/3.53 % (12628)Memory used [KB]: 5628
% 25.03/3.53 % (12628)Time elapsed: 0.015 s
% 25.03/3.53 % (12628)Instructions burned: 32 (million)
% 25.03/3.53 % (12628)------------------------------
% 25.03/3.53 % (12628)------------------------------
% 25.03/3.54 % (12629)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 (2968ds/3373Mi)
% 25.23/3.57 % (12626)Instruction limit reached!
% 25.23/3.57 % (12626)------------------------------
% 25.23/3.57 % (12626)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 25.23/3.57 % (12626)Termination reason: Unknown
% 25.23/3.57 % (12626)Termination phase: Saturation
% 25.23/3.57
% 25.23/3.57 % (12626)Memory used [KB]: 7419
% 25.23/3.57 % (12626)Time elapsed: 0.218 s
% 25.23/3.57 % (12626)Instructions burned: 456 (million)
% 25.23/3.57 % (12626)------------------------------
% 25.23/3.57 % (12626)------------------------------
% 25.23/3.58 % (12615)Instruction limit reached!
% 25.23/3.58 % (12615)------------------------------
% 25.23/3.58 % (12615)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 25.23/3.59 % (12615)Termination reason: Unknown
% 25.23/3.59 % (12615)Termination phase: Saturation
% 25.23/3.59
% 25.23/3.59 % (12615)Memory used [KB]: 7803
% 25.23/3.59 % (12615)Time elapsed: 0.787 s
% 25.23/3.59 % (12615)Instructions burned: 1764 (million)
% 25.23/3.59 % (12615)------------------------------
% 25.23/3.59 % (12615)------------------------------
% 25.23/3.59 % (12630)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 (2968ds/474Mi)
% 25.23/3.60 % (12631)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 (2968ds/157Mi)
% 25.23/3.62 % (12625)Instruction limit reached!
% 25.23/3.62 % (12625)------------------------------
% 25.23/3.62 % (12625)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 25.23/3.62 % (12625)Termination reason: Unknown
% 25.23/3.62 % (12625)Termination phase: Saturation
% 25.23/3.62
% 25.23/3.62 % (12625)Memory used [KB]: 7419
% 25.23/3.62 % (12625)Time elapsed: 0.302 s
% 25.23/3.62 % (12625)Instructions burned: 582 (million)
% 25.23/3.62 % (12625)------------------------------
% 25.23/3.62 % (12625)------------------------------
% 25.69/3.64 % (12632)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 (2967ds/590Mi)
% 25.69/3.67 % (12631)Instruction limit reached!
% 25.69/3.67 % (12631)------------------------------
% 25.69/3.67 % (12631)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 25.69/3.67 % (12631)Termination reason: Unknown
% 25.69/3.67 % (12631)Termination phase: Saturation
% 25.69/3.67
% 25.69/3.67 % (12631)Memory used [KB]: 5884
% 25.69/3.67 % (12631)Time elapsed: 0.071 s
% 25.69/3.67 % (12631)Instructions burned: 159 (million)
% 25.69/3.67 % (12631)------------------------------
% 25.69/3.67 % (12631)------------------------------
% 25.93/3.68 % (12633)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 (2967ds/104Mi)
% 25.93/3.72 % (12627)Instruction limit reached!
% 25.93/3.72 % (12627)------------------------------
% 25.93/3.72 % (12627)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 25.93/3.72 % (12627)Termination reason: Unknown
% 25.93/3.72 % (12627)Termination phase: Saturation
% 25.93/3.72
% 25.93/3.72 % (12627)Memory used [KB]: 6652
% 25.93/3.72 % (12627)Time elapsed: 0.210 s
% 25.93/3.72 % (12627)Instructions burned: 394 (million)
% 25.93/3.72 % (12627)------------------------------
% 25.93/3.72 % (12627)------------------------------
% 25.93/3.73 % (12633)Instruction limit reached!
% 25.93/3.73 % (12633)------------------------------
% 25.93/3.73 % (12633)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 25.93/3.73 % (12633)Termination reason: Unknown
% 25.93/3.73 % (12633)Termination phase: Saturation
% 25.93/3.73
% 25.93/3.73 % (12633)Memory used [KB]: 5884
% 25.93/3.73 % (12633)Time elapsed: 0.045 s
% 25.93/3.73 % (12633)Instructions burned: 105 (million)
% 25.93/3.73 % (12633)------------------------------
% 25.93/3.73 % (12633)------------------------------
% 25.93/3.73 % (12634)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 (2966ds/414Mi)
% 25.93/3.74 % (12635)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 (2966ds/715Mi)
% 26.44/3.80 % (12630)Instruction limit reached!
% 26.44/3.80 % (12630)------------------------------
% 26.44/3.80 % (12630)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 26.44/3.80 % (12630)Termination reason: Unknown
% 26.44/3.80 % (12630)Termination phase: Saturation
% 26.44/3.80
% 26.44/3.80 % (12630)Memory used [KB]: 6652
% 26.44/3.80 % (12630)Time elapsed: 0.215 s
% 26.44/3.80 % (12630)Instructions burned: 474 (million)
% 26.44/3.80 % (12630)------------------------------
% 26.44/3.80 % (12630)------------------------------
% 26.82/3.82 % (12636)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 (2965ds/961Mi)
% 26.82/3.84 % (12579)Instruction limit reached!
% 26.82/3.84 % (12579)------------------------------
% 26.82/3.84 % (12579)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 26.82/3.84 % (12579)Termination reason: Unknown
% 26.82/3.84 % (12579)Termination phase: Saturation
% 26.82/3.84
% 26.82/3.84 % (12579)Memory used [KB]: 15223
% 26.82/3.84 % (12579)Time elapsed: 2.518 s
% 26.82/3.84 % (12579)Instructions burned: 5205 (million)
% 26.82/3.84 % (12579)------------------------------
% 26.82/3.84 % (12579)------------------------------
% 26.92/3.85 % (12637)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 (2965ds/1213Mi)
% 26.92/3.91 % (12632)Instruction limit reached!
% 26.92/3.91 % (12632)------------------------------
% 26.92/3.91 % (12632)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 26.92/3.91 % (12632)Termination reason: Unknown
% 26.92/3.91 % (12632)Termination phase: Saturation
% 26.92/3.91
% 26.92/3.91 % (12632)Memory used [KB]: 7547
% 26.92/3.91 % (12632)Time elapsed: 0.269 s
% 26.92/3.91 % (12632)Instructions burned: 591 (million)
% 26.92/3.91 % (12632)------------------------------
% 26.92/3.91 % (12632)------------------------------
% 26.92/3.92 % (12638)lrs+1002_1:12_bd=off:hud=1:ntd=on:piset=equals:prag=on:i=1979:si=on:rtra=on_0 on theBenchmark for (2964ds/1979Mi)
% 27.37/3.93 % (12634)Instruction limit reached!
% 27.37/3.93 % (12634)------------------------------
% 27.37/3.93 % (12634)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 27.37/3.93 % (12634)Termination reason: Unknown
% 27.37/3.93 % (12634)Termination phase: Saturation
% 27.37/3.93
% 27.37/3.93 % (12634)Memory used [KB]: 6524
% 27.37/3.93 % (12634)Time elapsed: 0.223 s
% 27.37/3.93 % (12634)Instructions burned: 414 (million)
% 27.37/3.93 % (12634)------------------------------
% 27.37/3.93 % (12634)------------------------------
% 27.37/3.94 % (12639)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 (2964ds/481Mi)
% 27.37/3.96 % (12601)Instruction limit reached!
% 27.37/3.96 % (12601)------------------------------
% 27.37/3.96 % (12601)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 27.37/3.96 % (12601)Termination reason: Unknown
% 27.37/3.96 % (12601)Termination phase: Saturation
% 27.37/3.96
% 27.37/3.96 % (12601)Memory used [KB]: 10234
% 27.37/3.96 % (12601)Time elapsed: 1.990 s
% 27.37/3.96 % (12601)Instructions burned: 4715 (million)
% 27.37/3.96 % (12601)------------------------------
% 27.37/3.96 % (12601)------------------------------
% 27.37/3.97 % (12640)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 (2964ds/783Mi)
% 29.48/4.07 % (12635)Instruction limit reached!
% 29.48/4.07 % (12635)------------------------------
% 29.48/4.07 % (12635)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 29.48/4.07 % (12635)Termination reason: Unknown
% 29.48/4.07 % (12635)Termination phase: Saturation
% 29.48/4.07
% 29.48/4.07 % (12635)Memory used [KB]: 2814
% 29.48/4.07 % (12635)Time elapsed: 0.355 s
% 29.48/4.07 % (12635)Instructions burned: 715 (million)
% 29.48/4.07 % (12635)------------------------------
% 29.48/4.07 % (12635)------------------------------
% 29.60/4.09 % (12641)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 (2963ds/432Mi)
% 29.60/4.09 % (12641)Refutation not found, incomplete strategy
% 29.60/4.09 % (12641)------------------------------
% 29.60/4.09 % (12641)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 29.60/4.09 % (12641)Termination reason: Refutation not found, incomplete strategy
% 29.60/4.09
% 29.60/4.09
% 29.60/4.09 % (12641)Memory used [KB]: 5500
% 29.60/4.09 % (12641)Time elapsed: 0.005 s
% 29.60/4.09 % (12641)Instructions burned: 7 (million)
% 29.60/4.09 % (12641)------------------------------
% 29.60/4.09 % (12641)------------------------------
% 29.60/4.11 % (12642)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 (2962ds/1670Mi)
% 30.02/4.17 % (12639)Instruction limit reached!
% 30.02/4.17 % (12639)------------------------------
% 30.02/4.17 % (12639)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 30.02/4.17 % (12639)Termination reason: Unknown
% 30.02/4.17 % (12639)Termination phase: Saturation
% 30.02/4.17
% 30.02/4.17 % (12639)Memory used [KB]: 6268
% 30.02/4.17 % (12639)Time elapsed: 0.247 s
% 30.02/4.17 % (12639)Instructions burned: 482 (million)
% 30.02/4.17 % (12639)------------------------------
% 30.02/4.17 % (12639)------------------------------
% 30.02/4.18 % (12643)dis+2_1:1_au=on:hfaw=0:hfsq=on:sp=weighted_frequency:i=90:si=on:rtra=on_0 on theBenchmark for (2962ds/90Mi)
% 30.43/4.22 % (12643)Instruction limit reached!
% 30.43/4.22 % (12643)------------------------------
% 30.43/4.22 % (12643)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 30.43/4.22 % (12643)Termination reason: Unknown
% 30.43/4.22 % (12643)Termination phase: Saturation
% 30.43/4.22
% 30.43/4.22 % (12643)Memory used [KB]: 5884
% 30.43/4.22 % (12643)Time elapsed: 0.040 s
% 30.43/4.22 % (12643)Instructions burned: 90 (million)
% 30.43/4.22 % (12643)------------------------------
% 30.43/4.22 % (12643)------------------------------
% 30.43/4.23 % (12644)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 (2961ds/346Mi)
% 30.80/4.27 % (12636)Instruction limit reached!
% 30.80/4.27 % (12636)------------------------------
% 30.80/4.27 % (12636)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 30.80/4.27 % (12636)Termination reason: Unknown
% 30.80/4.27 % (12636)Termination phase: Saturation
% 30.80/4.27
% 30.80/4.27 % (12636)Memory used [KB]: 9338
% 30.80/4.27 % (12636)Time elapsed: 0.477 s
% 30.80/4.27 % (12636)Instructions burned: 961 (million)
% 30.80/4.27 % (12636)------------------------------
% 30.80/4.27 % (12636)------------------------------
% 30.80/4.29 % (12645)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 (2961ds/401Mi)
% 30.80/4.33 % (12640)Instruction limit reached!
% 30.80/4.33 % (12640)------------------------------
% 30.80/4.33 % (12640)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 30.80/4.33 % (12640)Termination reason: Unknown
% 30.80/4.33 % (12640)Termination phase: Saturation
% 30.80/4.33
% 30.80/4.33 % (12640)Memory used [KB]: 10106
% 30.80/4.33 % (12640)Time elapsed: 0.383 s
% 30.80/4.33 % (12640)Instructions burned: 784 (million)
% 30.80/4.33 % (12640)------------------------------
% 30.80/4.33 % (12640)------------------------------
% 30.80/4.34 % (12646)lrs+1010_1:1_au=on:s2a=on:sd=1:sgt=50:ss=axioms:i=6454:si=on:rtra=on_0 on theBenchmark for (2960ds/6454Mi)
% 31.40/4.39 % (12644)Instruction limit reached!
% 31.40/4.39 % (12644)------------------------------
% 31.40/4.39 % (12644)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 31.40/4.39 % (12644)Termination reason: Unknown
% 31.40/4.39 % (12644)Termination phase: Saturation
% 31.40/4.39
% 31.40/4.39 % (12644)Memory used [KB]: 6268
% 31.40/4.39 % (12644)Time elapsed: 0.158 s
% 31.40/4.39 % (12644)Instructions burned: 346 (million)
% 31.40/4.39 % (12644)------------------------------
% 31.40/4.39 % (12644)------------------------------
% 31.40/4.40 % (12647)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 (2959ds/283Mi)
% 31.80/4.46 % (12637)Instruction limit reached!
% 31.80/4.46 % (12637)------------------------------
% 31.80/4.46 % (12637)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 31.80/4.46 % (12637)Termination reason: Unknown
% 31.80/4.46 % (12637)Termination phase: Saturation
% 31.80/4.46
% 31.80/4.46 % (12637)Memory used [KB]: 8059
% 31.80/4.46 % (12637)Time elapsed: 0.632 s
% 31.80/4.46 % (12637)Instructions burned: 1214 (million)
% 31.80/4.46 % (12637)------------------------------
% 31.80/4.46 % (12637)------------------------------
% 31.80/4.47 % (12645)Instruction limit reached!
% 31.80/4.47 % (12645)------------------------------
% 31.80/4.47 % (12645)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 31.80/4.47 % (12645)Termination reason: Unknown
% 31.80/4.47 % (12645)Termination phase: Saturation
% 31.80/4.47
% 31.80/4.47 % (12645)Memory used [KB]: 6652
% 31.80/4.47 % (12645)Time elapsed: 0.186 s
% 31.80/4.47 % (12645)Instructions burned: 401 (million)
% 31.80/4.47 % (12645)------------------------------
% 31.80/4.47 % (12645)------------------------------
% 31.80/4.48 % (12648)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 (2959ds/865Mi)
% 31.80/4.48 % (12649)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 (2959ds/4528Mi)
% 31.80/4.49 % (12649)Refutation not found, incomplete strategy
% 31.80/4.49 % (12649)------------------------------
% 31.80/4.49 % (12649)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 31.80/4.49 % (12649)Termination reason: Refutation not found, incomplete strategy
% 31.80/4.49
% 31.80/4.49
% 31.80/4.49 % (12649)Memory used [KB]: 1023
% 31.80/4.49 % (12649)Time elapsed: 0.005 s
% 31.80/4.49 % (12649)Instructions burned: 7 (million)
% 31.80/4.49 % (12649)------------------------------
% 31.80/4.49 % (12649)------------------------------
% 31.80/4.50 % (12650)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 (2958ds/1001Mi)
% 32.23/4.53 % (12647)Instruction limit reached!
% 32.23/4.53 % (12647)------------------------------
% 32.23/4.53 % (12647)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 32.23/4.53 % (12647)Termination reason: Unknown
% 32.23/4.53 % (12647)Termination phase: Saturation
% 32.23/4.53
% 32.23/4.53 % (12647)Memory used [KB]: 7036
% 32.23/4.53 % (12647)Time elapsed: 0.130 s
% 32.23/4.53 % (12647)Instructions burned: 284 (million)
% 32.23/4.53 % (12647)------------------------------
% 32.23/4.53 % (12647)------------------------------
% 32.23/4.55 % (12651)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 (2958ds/102Mi)
% 33.49/4.59 % (12651)Instruction limit reached!
% 33.49/4.59 % (12651)------------------------------
% 33.49/4.59 % (12651)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 33.49/4.59 % (12651)Termination reason: Unknown
% 33.49/4.59 % (12651)Termination phase: Saturation
% 33.49/4.59
% 33.49/4.59 % (12651)Memory used [KB]: 5756
% 33.49/4.59 % (12651)Time elapsed: 0.045 s
% 33.49/4.59 % (12651)Instructions burned: 102 (million)
% 33.49/4.59 % (12651)------------------------------
% 33.49/4.59 % (12651)------------------------------
% 33.49/4.60 % (12652)ott+1010_3:1_nm=20:s2a=on:s2at=3.0:sp=const_frequency:i=952:si=on:rtra=on_0 on theBenchmark for (2957ds/952Mi)
% 35.19/4.87 % (12648)Instruction limit reached!
% 35.19/4.87 % (12648)------------------------------
% 35.19/4.87 % (12648)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 35.19/4.87 % (12648)Termination reason: Unknown
% 35.19/4.87 % (12648)Termination phase: Saturation
% 35.19/4.87
% 35.19/4.87 % (12648)Memory used [KB]: 6652
% 35.19/4.87 % (12648)Time elapsed: 0.398 s
% 35.19/4.87 % (12648)Instructions burned: 867 (million)
% 35.19/4.87 % (12648)------------------------------
% 35.19/4.87 % (12648)------------------------------
% 35.19/4.88 % (12642)Refutation not found, non-redundant clauses discarded% (12642)------------------------------
% 35.19/4.88 % (12642)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 35.19/4.88 % (12642)Termination reason: Refutation not found, non-redundant clauses discarded
% 35.19/4.88
% 35.19/4.88 % (12642)Memory used [KB]: 7931
% 35.19/4.88 % (12642)Time elapsed: 0.770 s
% 35.19/4.88 % (12642)Instructions burned: 1620 (million)
% 35.19/4.88 % (12642)------------------------------
% 35.19/4.88 % (12642)------------------------------
% 35.66/4.89 % (12653)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 (2955ds/578Mi)
% 35.66/4.89 % (12654)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 (2955ds/643Mi)
% 36.05/4.96 % (12638)Instruction limit reached!
% 36.05/4.96 % (12638)------------------------------
% 36.05/4.96 % (12638)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 36.05/4.96 % (12638)Termination reason: Unknown
% 36.05/4.96 % (12638)Termination phase: Saturation
% 36.05/4.96
% 36.05/4.96 % (12638)Memory used [KB]: 12665
% 36.05/4.96 % (12638)Time elapsed: 1.046 s
% 36.05/4.96 % (12638)Instructions burned: 1979 (million)
% 36.05/4.96 % (12638)------------------------------
% 36.05/4.96 % (12638)------------------------------
% 36.05/4.97 % (12655)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 (2954ds/865Mi)
% 36.12/4.99 % (12655)Refutation not found, incomplete strategy
% 36.12/4.99 % (12655)------------------------------
% 36.12/4.99 % (12655)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 36.12/4.99 % (12655)Termination reason: Refutation not found, incomplete strategy
% 36.12/4.99
% 36.12/4.99
% 36.12/4.99 % (12655)Memory used [KB]: 5628
% 36.12/4.99 % (12655)Time elapsed: 0.013 s
% 36.12/4.99 % (12655)Instructions burned: 29 (million)
% 36.12/4.99 % (12655)------------------------------
% 36.12/4.99 % (12655)------------------------------
% 36.12/5.00 % (12650)Instruction limit reached!
% 36.12/5.00 % (12650)------------------------------
% 36.12/5.00 % (12650)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 36.12/5.00 % (12650)Termination reason: Unknown
% 36.12/5.00 % (12650)Termination phase: Saturation
% 36.12/5.00
% 36.12/5.00 % (12650)Memory used [KB]: 10362
% 36.12/5.00 % (12650)Time elapsed: 0.499 s
% 36.12/5.00 % (12650)Instructions burned: 1002 (million)
% 36.12/5.00 % (12650)------------------------------
% 36.12/5.00 % (12650)------------------------------
% 36.12/5.00 % (12656)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 (2953ds/1174Mi)
% 36.30/5.01 % (12657)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 (2953ds/644Mi)
% 36.30/5.03 % (12657)Refutation not found, incomplete strategy
% 36.30/5.03 % (12657)------------------------------
% 36.30/5.03 % (12657)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 36.30/5.03 % (12657)Termination reason: Refutation not found, incomplete strategy
% 36.30/5.03
% 36.30/5.03
% 36.30/5.03 % (12657)Memory used [KB]: 5756
% 36.30/5.03 % (12657)Time elapsed: 0.018 s
% 36.30/5.03 % (12657)Instructions burned: 39 (million)
% 36.30/5.03 % (12657)------------------------------
% 36.30/5.03 % (12657)------------------------------
% 36.40/5.05 % (12658)lrs+10_1:1_alpa=true:au=on:cs=on:tgt=ground:i=1201:si=on:rtra=on_0 on theBenchmark for (2953ds/1201Mi)
% 36.40/5.06 % (12652)Instruction limit reached!
% 36.40/5.06 % (12652)------------------------------
% 36.40/5.06 % (12652)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 36.40/5.06 % (12652)Termination reason: Unknown
% 36.40/5.06 % (12652)Termination phase: Saturation
% 36.40/5.06
% 36.40/5.06 % (12652)Memory used [KB]: 9210
% 36.40/5.06 % (12652)Time elapsed: 0.461 s
% 36.40/5.06 % (12652)Instructions burned: 952 (million)
% 36.40/5.06 % (12652)------------------------------
% 36.40/5.06 % (12652)------------------------------
% 36.40/5.08 % (12659)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 (2953ds/1046Mi)
% 37.12/5.17 % (12654)Instruction limit reached!
% 37.12/5.17 % (12654)------------------------------
% 37.12/5.17 % (12654)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 37.12/5.17 % (12654)Termination reason: Unknown
% 37.12/5.17 % (12654)Termination phase: Saturation
% 37.12/5.17
% 37.12/5.17 % (12654)Memory used [KB]: 6140
% 37.12/5.17 % (12654)Time elapsed: 0.279 s
% 37.12/5.17 % (12654)Instructions burned: 644 (million)
% 37.12/5.17 % (12654)------------------------------
% 37.12/5.17 % (12654)------------------------------
% 37.12/5.18 % (12660)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 (2952ds/222Mi)
% 37.12/5.19 % (12653)Instruction limit reached!
% 37.12/5.19 % (12653)------------------------------
% 37.12/5.19 % (12653)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 37.12/5.19 % (12653)Termination reason: Unknown
% 37.12/5.19 % (12653)Termination phase: Saturation
% 37.12/5.19
% 37.12/5.19 % (12653)Memory used [KB]: 7675
% 37.12/5.19 % (12653)Time elapsed: 0.308 s
% 37.12/5.19 % (12653)Instructions burned: 579 (million)
% 37.12/5.19 % (12653)------------------------------
% 37.12/5.19 % (12653)------------------------------
% 37.12/5.21 % (12661)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 (2951ds/68Mi)
% 38.45/5.22 % (12629)Instruction limit reached!
% 38.45/5.22 % (12629)------------------------------
% 38.45/5.22 % (12629)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 38.45/5.22 % (12629)Termination reason: Unknown
% 38.45/5.22 % (12629)Termination phase: Saturation
% 38.45/5.22
% 38.45/5.22 % (12629)Memory used [KB]: 16758
% 38.45/5.22 % (12629)Time elapsed: 1.677 s
% 38.45/5.22 % (12629)Instructions burned: 3374 (million)
% 38.45/5.22 % (12629)------------------------------
% 38.45/5.22 % (12629)------------------------------
% 38.45/5.23 % (12661)Instruction limit reached!
% 38.45/5.23 % (12661)------------------------------
% 38.45/5.23 % (12661)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 38.45/5.23 % (12661)Termination reason: Unknown
% 38.45/5.23 % (12661)Termination phase: Saturation
% 38.45/5.23
% 38.45/5.23 % (12661)Memory used [KB]: 5756
% 38.45/5.23 % (12661)Time elapsed: 0.030 s
% 38.45/5.23 % (12661)Instructions burned: 68 (million)
% 38.45/5.23 % (12661)------------------------------
% 38.45/5.23 % (12661)------------------------------
% 38.45/5.24 % (12662)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 (2951ds/454Mi)
% 38.45/5.25 % (12663)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 (2951ds/360Mi)
% 38.45/5.28 % (12660)Instruction limit reached!
% 38.45/5.28 % (12660)------------------------------
% 38.45/5.28 % (12660)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 38.45/5.28 % (12660)Termination reason: Unknown
% 38.45/5.28 % (12660)Termination phase: Saturation
% 38.45/5.28
% 38.45/5.28 % (12660)Memory used [KB]: 6140
% 38.45/5.28 % (12660)Time elapsed: 0.102 s
% 38.45/5.28 % (12660)Instructions burned: 222 (million)
% 38.45/5.28 % (12660)------------------------------
% 38.45/5.28 % (12660)------------------------------
% 39.10/5.30 % (12664)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 (2951ds/157Mi)
% 39.20/5.37 % (12664)Instruction limit reached!
% 39.20/5.37 % (12664)------------------------------
% 39.20/5.37 % (12664)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 39.20/5.37 % (12664)Termination reason: Unknown
% 39.20/5.37 % (12664)Termination phase: Saturation
% 39.20/5.37
% 39.20/5.37 % (12664)Memory used [KB]: 6012
% 39.20/5.37 % (12664)Time elapsed: 0.076 s
% 39.20/5.37 % (12664)Instructions burned: 158 (million)
% 39.20/5.37 % (12664)------------------------------
% 39.20/5.37 % (12664)------------------------------
% 39.20/5.39 % (12665)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 (2950ds/5061Mi)
% 39.73/5.41 % (12663)Instruction limit reached!
% 39.73/5.41 % (12663)------------------------------
% 39.73/5.41 % (12663)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 39.73/5.41 % (12663)Termination reason: Unknown
% 39.73/5.41 % (12663)Termination phase: Saturation
% 39.73/5.41
% 39.73/5.41 % (12663)Memory used [KB]: 6524
% 39.73/5.41 % (12663)Time elapsed: 0.169 s
% 39.73/5.41 % (12663)Instructions burned: 361 (million)
% 39.73/5.41 % (12663)------------------------------
% 39.73/5.41 % (12663)------------------------------
% 39.73/5.43 % (12666)lrs+1002_1:8_av=off:fd=off:hud=5:tnu=1:i=2401:si=on:rtra=on_0 on theBenchmark for (2949ds/2401Mi)
% 39.73/5.43 % (12662)Instruction limit reached!
% 39.73/5.43 % (12662)------------------------------
% 39.73/5.43 % (12662)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 39.73/5.43 % (12662)Termination reason: Unknown
% 39.73/5.43 % (12662)Termination phase: Saturation
% 39.73/5.43
% 39.73/5.43 % (12662)Memory used [KB]: 10362
% 39.73/5.43 % (12662)Time elapsed: 0.195 s
% 39.73/5.43 % (12662)Instructions burned: 455 (million)
% 39.73/5.43 % (12662)------------------------------
% 39.73/5.43 % (12662)------------------------------
% 39.73/5.44 % (12667)dis+10_1:1_av=off:e2e=on:nm=4:s2a=on:i=5798:si=on:rtra=on_0 on theBenchmark for (2949ds/5798Mi)
% 41.00/5.59 % (12656)Refutation not found, non-redundant clauses discarded% (12656)------------------------------
% 41.00/5.59 % (12656)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 41.00/5.59 % (12656)Termination reason: Refutation not found, non-redundant clauses discarded
% 41.00/5.59
% 41.00/5.59 % (12656)Memory used [KB]: 9594
% 41.00/5.59 % (12656)Time elapsed: 0.598 s
% 41.00/5.59 % (12656)Instructions burned: 1157 (million)
% 41.00/5.59 % (12656)------------------------------
% 41.00/5.59 % (12656)------------------------------
% 41.04/5.60 % (12668)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 (2948ds/346Mi)
% 41.15/5.61 % (12659)Refutation not found, non-redundant clauses discarded% (12659)------------------------------
% 41.15/5.61 % (12659)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 41.15/5.61 % (12659)Termination reason: Refutation not found, non-redundant clauses discarded
% 41.15/5.61
% 41.15/5.61 % (12659)Memory used [KB]: 8571
% 41.15/5.61 % (12659)Time elapsed: 0.533 s
% 41.15/5.61 % (12659)Instructions burned: 1041 (million)
% 41.15/5.61 % (12659)------------------------------
% 41.15/5.61 % (12659)------------------------------
% 41.16/5.63 % (12669)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 (2947ds/1321Mi)
% 41.16/5.63 % (12669)Refutation not found, incomplete strategy
% 41.16/5.63 % (12669)------------------------------
% 41.16/5.63 % (12669)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 41.16/5.63 % (12669)Termination reason: Refutation not found, incomplete strategy
% 41.16/5.63
% 41.16/5.63
% 41.16/5.63 % (12669)Memory used [KB]: 1023
% 41.16/5.63 % (12669)Time elapsed: 0.029 s
% 41.16/5.63 % (12669)Instructions burned: 8 (million)
% 41.16/5.63 % (12669)------------------------------
% 41.16/5.63 % (12669)------------------------------
% 41.16/5.65 % (12670)lrs+10_1:1_cnfonf=lazy_gen:kws=inv_precedence:nwc=10.0:i=1312:si=on:rtra=on_0 on theBenchmark for (2947ds/1312Mi)
% 41.16/5.66 % (12658)Instruction limit reached!
% 41.16/5.66 % (12658)------------------------------
% 41.16/5.66 % (12658)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 41.16/5.66 % (12658)Termination reason: Unknown
% 41.16/5.66 % (12658)Termination phase: Saturation
% 41.16/5.66
% 41.16/5.66 % (12658)Memory used [KB]: 7931
% 41.16/5.66 % (12658)Time elapsed: 0.613 s
% 41.16/5.66 % (12658)Instructions burned: 1202 (million)
% 41.16/5.66 % (12658)------------------------------
% 41.16/5.66 % (12658)------------------------------
% 41.16/5.67 % (12671)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 (2947ds/672Mi)
% 41.16/5.68 % (12671)Refutation not found, incomplete strategy
% 41.16/5.68 % (12671)------------------------------
% 41.16/5.68 % (12671)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 41.16/5.68 % (12671)Termination reason: Refutation not found, incomplete strategy
% 41.16/5.68
% 41.16/5.68
% 41.16/5.68 % (12671)Memory used [KB]: 5628
% 41.16/5.68 % (12671)Time elapsed: 0.006 s
% 41.16/5.68 % (12671)Instructions burned: 8 (million)
% 41.16/5.68 % (12671)------------------------------
% 41.16/5.68 % (12671)------------------------------
% 41.16/5.69 % (12672)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 (2946ds/1897Mi)
% 41.16/5.69 % (12672)Refutation not found, incomplete strategy
% 41.16/5.69 % (12672)------------------------------
% 41.16/5.69 % (12672)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 41.16/5.69 % (12672)Termination reason: Refutation not found, incomplete strategy
% 41.16/5.69
% 41.16/5.70
% 41.16/5.70 % (12672)Memory used [KB]: 5500
% 41.16/5.70 % (12672)Time elapsed: 0.006 s
% 41.16/5.70 % (12672)Instructions burned: 8 (million)
% 41.16/5.70 % (12672)------------------------------
% 41.16/5.70 % (12672)------------------------------
% 41.46/5.71 % (12673)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 (2946ds/1202Mi)
% 41.46/5.76 % (12668)Instruction limit reached!
% 41.46/5.76 % (12668)------------------------------
% 41.46/5.76 % (12668)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 41.46/5.76 % (12668)Termination reason: Unknown
% 41.46/5.76 % (12668)Termination phase: Saturation
% 41.46/5.76
% 41.46/5.76 % (12668)Memory used [KB]: 6140
% 41.46/5.76 % (12668)Time elapsed: 0.174 s
% 41.46/5.76 % (12668)Instructions burned: 348 (million)
% 41.46/5.76 % (12668)------------------------------
% 41.46/5.76 % (12668)------------------------------
% 41.46/5.77 % (12674)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 (2946ds/1493Mi)
% 41.46/5.78 % (12674)Refutation not found, incomplete strategy
% 41.46/5.78 % (12674)------------------------------
% 41.46/5.78 % (12674)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 41.46/5.78 % (12674)Termination reason: Refutation not found, incomplete strategy
% 41.46/5.78
% 41.46/5.78
% 41.46/5.78 % (12674)Memory used [KB]: 5500
% 41.46/5.78 % (12674)Time elapsed: 0.006 s
% 41.46/5.78 % (12674)Instructions burned: 8 (million)
% 41.46/5.78 % (12674)------------------------------
% 41.46/5.78 % (12674)------------------------------
% 41.46/5.81 % (12675)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 (2945ds/7679Mi)
% 44.18/5.99 % (12602)Instruction limit reached!
% 44.18/5.99 % (12602)------------------------------
% 44.18/5.99 % (12602)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 44.18/5.99 % (12602)Termination reason: Unknown
% 44.18/5.99 % (12602)Termination phase: Saturation
% 44.18/5.99
% 44.18/5.99 % (12602)Memory used [KB]: 11513
% 44.18/5.99 % (12602)Time elapsed: 3.959 s
% 44.18/5.99 % (12602)Instructions burned: 8250 (million)
% 44.18/5.99 % (12602)------------------------------
% 44.18/5.99 % (12602)------------------------------
% 44.18/6.00 % (12676)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 (2943ds/340Mi)
% 44.89/6.02 % (12676)Refutation not found, incomplete strategy
% 44.89/6.02 % (12676)------------------------------
% 44.89/6.02 % (12676)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 44.89/6.02 % (12676)Termination reason: Refutation not found, incomplete strategy
% 44.89/6.02
% 44.89/6.02
% 44.89/6.02 % (12676)Memory used [KB]: 5628
% 44.89/6.02 % (12676)Time elapsed: 0.014 s
% 44.89/6.02 % (12676)Instructions burned: 30 (million)
% 44.89/6.02 % (12676)------------------------------
% 44.89/6.02 % (12676)------------------------------
% 44.89/6.03 % (12677)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 (2943ds/3672Mi)
% 44.89/6.04 % (12677)Refutation not found, incomplete strategy
% 44.89/6.04 % (12677)------------------------------
% 44.89/6.04 % (12677)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 44.89/6.04 % (12677)Termination reason: Refutation not found, incomplete strategy
% 44.89/6.04
% 44.89/6.04
% 44.89/6.04 % (12677)Memory used [KB]: 5756
% 44.89/6.04 % (12677)Time elapsed: 0.010 s
% 44.89/6.04 % (12677)Instructions burned: 20 (million)
% 44.89/6.04 % (12677)------------------------------
% 44.89/6.04 % (12677)------------------------------
% 44.89/6.05 % (12678)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 (2943ds/1535Mi)
% 45.50/6.17 % (12665)First to succeed.
% 46.32/6.21 % (12665)Refutation found. Thanks to Tanya!
% 46.32/6.21 % SZS status Theorem for theBenchmark
% 46.32/6.21 % SZS output start Proof for theBenchmark
% 46.32/6.21 thf(func_def_0, type, irel: $i > $i > $o).
% 46.32/6.21 thf(func_def_2, type, mnot: ($i > $o) > $i > $o).
% 46.32/6.21 thf(func_def_3, type, mor: ($i > $o) > ($i > $o) > $i > $o).
% 46.32/6.21 thf(func_def_4, type, mand: ($i > $o) > ($i > $o) > $i > $o).
% 46.32/6.21 thf(func_def_5, type, mimplies: ($i > $o) > ($i > $o) > $i > $o).
% 46.32/6.21 thf(func_def_6, type, mbox_s4: ($i > $o) > $i > $o).
% 46.32/6.21 thf(func_def_7, type, iatom: ($i > $o) > $i > $o).
% 46.32/6.21 thf(func_def_8, type, inot: ($i > $o) > $i > $o).
% 46.32/6.21 thf(func_def_9, type, itrue: $i > $o).
% 46.32/6.21 thf(func_def_10, type, ifalse: $i > $o).
% 46.32/6.21 thf(func_def_11, type, iand: ($i > $o) > ($i > $o) > $i > $o).
% 46.32/6.21 thf(func_def_12, type, ior: ($i > $o) > ($i > $o) > $i > $o).
% 46.32/6.21 thf(func_def_13, type, iimplies: ($i > $o) > ($i > $o) > $i > $o).
% 46.32/6.21 thf(func_def_14, type, iimplied: ($i > $o) > ($i > $o) > $i > $o).
% 46.32/6.21 thf(func_def_15, type, iequiv: ($i > $o) > ($i > $o) > $i > $o).
% 46.32/6.21 thf(func_def_16, type, ixor: ($i > $o) > ($i > $o) > $i > $o).
% 46.32/6.21 thf(func_def_17, type, ivalid: ($i > $o) > $o).
% 46.32/6.21 thf(func_def_18, type, isatisfiable: ($i > $o) > $o).
% 46.32/6.21 thf(func_def_19, type, icountersatisfiable: ($i > $o) > $o).
% 46.32/6.21 thf(func_def_20, type, iinvalid: ($i > $o) > $o).
% 46.32/6.21 thf(func_def_21, type, a0: $i > $o).
% 46.32/6.21 thf(func_def_22, type, a1: $i > $o).
% 46.32/6.21 thf(func_def_23, type, a2: $i > $o).
% 46.32/6.21 thf(func_def_24, type, a3: $i > $o).
% 46.32/6.21 thf(func_def_25, type, b0: $i > $o).
% 46.32/6.21 thf(func_def_26, type, b1: $i > $o).
% 46.32/6.21 thf(func_def_27, type, b2: $i > $o).
% 46.32/6.21 thf(func_def_28, type, b3: $i > $o).
% 46.32/6.21 thf(func_def_29, type, f: $i > $o).
% 46.32/6.21 thf(func_def_45, type, sK3: $i > $i).
% 46.32/6.21 thf(func_def_46, type, sK4: $i > $i).
% 46.32/6.21 thf(func_def_47, type, sK5: $i > $i).
% 46.32/6.21 thf(func_def_48, type, sK6: $i > $i).
% 46.32/6.21 thf(func_def_49, type, sK7: $i > $i).
% 46.32/6.21 thf(func_def_50, type, sK8: $i > $i).
% 46.32/6.21 thf(func_def_51, type, sK9: $i > $i).
% 46.32/6.21 thf(func_def_52, type, sK10: $i > $i).
% 46.32/6.21 thf(func_def_53, type, sK11: $i > $i).
% 46.32/6.21 thf(f8804,plain,(
% 46.32/6.21 $false),
% 46.32/6.21 inference(avatar_sat_refutation,[],[f1011,f1041,f1044,f1080,f1504,f1521,f1530,f1718,f1731,f1760,f2006,f2012,f2322,f2340,f2480,f2645,f2720,f2767,f2891,f2939,f3401,f3479,f3575,f3606,f3612,f4022,f4492,f4569,f5333,f6667,f6788,f6801,f6815,f7389,f8539,f8709,f8803])).
% 46.32/6.21 thf(f8803,plain,(
% 46.32/6.21 ~spl0_66 | ~spl0_67 | ~spl0_111 | ~spl0_171),
% 46.32/6.21 inference(avatar_contradiction_clause,[],[f8802])).
% 46.32/6.21 thf(f8802,plain,(
% 46.32/6.21 $false | (~spl0_66 | ~spl0_67 | ~spl0_111 | ~spl0_171)),
% 46.32/6.21 inference(trivial_inequality_removal,[],[f8801])).
% 46.32/6.21 thf(f8801,plain,(
% 46.32/6.21 ($true = $false) | (~spl0_66 | ~spl0_67 | ~spl0_111 | ~spl0_171)),
% 46.32/6.21 inference(forward_demodulation,[],[f8796,f3573])).
% 46.32/6.21 thf(f3573,plain,(
% 46.32/6.21 ((b0 @ (sK11 @ (sK8 @ sK1))) = $false) | ~spl0_67),
% 46.32/6.21 inference(avatar_component_clause,[],[f3571])).
% 46.32/6.21 thf(f3571,plain,(
% 46.32/6.21 spl0_67 <=> ((b0 @ (sK11 @ (sK8 @ sK1))) = $false)),
% 46.32/6.21 introduced(avatar_definition,[new_symbols(naming,[spl0_67])])).
% 46.32/6.21 thf(f8796,plain,(
% 46.32/6.21 ($true = (b0 @ (sK11 @ (sK8 @ sK1)))) | (~spl0_66 | ~spl0_111 | ~spl0_171)),
% 46.32/6.21 inference(trivial_inequality_removal,[],[f8783])).
% 46.32/6.21 thf(f8783,plain,(
% 46.32/6.21 ($true = (b0 @ (sK11 @ (sK8 @ sK1)))) | ($true = $false) | (~spl0_66 | ~spl0_111 | ~spl0_171)),
% 46.32/6.21 inference(superposition,[],[f7370,f8749])).
% 46.32/6.21 thf(f8749,plain,(
% 46.32/6.21 ( ! [X0 : $i] : (($false = (irel @ (sK10 @ (sK8 @ sK1)) @ X0)) | ($true = (b0 @ X0))) ) | (~spl0_66 | ~spl0_111)),
% 46.32/6.21 inference(trivial_inequality_removal,[],[f8728])).
% 46.32/6.21 thf(f8728,plain,(
% 46.32/6.21 ( ! [X0 : $i] : (($true = (b0 @ X0)) | ($false = (irel @ (sK10 @ (sK8 @ sK1)) @ X0)) | ($true = $false)) ) | (~spl0_66 | ~spl0_111)),
% 46.32/6.21 inference(superposition,[],[f5348,f3568])).
% 46.32/6.21 thf(f3568,plain,(
% 46.32/6.21 ($true = (irel @ (sK8 @ sK1) @ (sK10 @ (sK8 @ sK1)))) | ~spl0_66),
% 46.32/6.21 inference(avatar_component_clause,[],[f3566])).
% 46.32/6.21 thf(f3566,plain,(
% 46.32/6.21 spl0_66 <=> ($true = (irel @ (sK8 @ sK1) @ (sK10 @ (sK8 @ sK1))))),
% 46.32/6.21 introduced(avatar_definition,[new_symbols(naming,[spl0_66])])).
% 46.32/6.21 thf(f5348,plain,(
% 46.32/6.21 ( ! [X0 : $i,X1 : $i] : (($false = (irel @ (sK8 @ sK1) @ X1)) | ($true = (b0 @ X0)) | ((irel @ X1 @ X0) = $false)) ) | ~spl0_111),
% 46.32/6.21 inference(trivial_inequality_removal,[],[f5336])).
% 46.32/6.21 thf(f5336,plain,(
% 46.32/6.21 ( ! [X0 : $i,X1 : $i] : (((irel @ X1 @ X0) = $false) | ($false = (irel @ (sK8 @ sK1) @ X1)) | ($true = $false) | ($true = (b0 @ X0))) ) | ~spl0_111),
% 46.32/6.21 inference(superposition,[],[f5321,f2601])).
% 46.32/6.21 thf(f2601,plain,(
% 46.32/6.21 ( ! [X2 : $i,X3 : $i,X1 : $i] : (($true = (irel @ X3 @ X1)) | ($false = (irel @ X3 @ X2)) | ($false = (irel @ X2 @ X1))) )),
% 46.32/6.21 inference(binary_proxy_clausification,[],[f2600])).
% 46.32/6.21 thf(f2600,plain,(
% 46.32/6.21 ( ! [X2 : $i,X3 : $i,X1 : $i] : (($true = (irel @ X3 @ X1)) | ($false = ((irel @ X2 @ X1) & (irel @ X3 @ X2)))) )),
% 46.32/6.21 inference(binary_proxy_clausification,[],[f2599])).
% 46.32/6.21 thf(f2599,plain,(
% 46.32/6.21 ( ! [X2 : $i,X3 : $i,X1 : $i] : (($true = (((irel @ X2 @ X1) & (irel @ X3 @ X2)) => (irel @ X3 @ X1)))) )),
% 46.32/6.21 inference(beta_eta_normalization,[],[f2598])).
% 46.32/6.21 thf(f2598,plain,(
% 46.32/6.21 ( ! [X2 : $i,X3 : $i,X1 : $i] : (($true = ((^[Y0 : $i]: (((irel @ X2 @ X1) & (irel @ Y0 @ X2)) => (irel @ Y0 @ X1))) @ X3))) )),
% 46.32/6.21 inference(pi_clausification,[],[f2597])).
% 46.32/6.21 thf(f2597,plain,(
% 46.32/6.21 ( ! [X2 : $i,X1 : $i] : (($true = (!! @ $i @ (^[Y0 : $i]: (((irel @ X2 @ X1) & (irel @ Y0 @ X2)) => (irel @ Y0 @ X1)))))) )),
% 46.32/6.21 inference(beta_eta_normalization,[],[f2596])).
% 46.32/6.21 thf(f2596,plain,(
% 46.32/6.21 ( ! [X2 : $i,X1 : $i] : (($true = ((^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (((irel @ Y0 @ X1) & (irel @ Y1 @ Y0)) => (irel @ Y1 @ X1))))) @ X2))) )),
% 46.32/6.21 inference(pi_clausification,[],[f2595])).
% 46.32/6.21 thf(f2595,plain,(
% 46.32/6.21 ( ! [X1 : $i] : (($true = (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (((irel @ Y0 @ X1) & (irel @ Y1 @ Y0)) => (irel @ Y1 @ X1)))))))) )),
% 46.32/6.21 inference(beta_eta_normalization,[],[f2594])).
% 46.32/6.21 thf(f2594,plain,(
% 46.32/6.21 ( ! [X1 : $i] : (($true = ((^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (((irel @ Y1 @ Y0) & (irel @ Y2 @ Y1)) => (irel @ Y2 @ Y0))))))) @ X1))) )),
% 46.32/6.21 inference(pi_clausification,[],[f86])).
% 46.32/6.21 thf(f86,plain,(
% 46.32/6.21 ($true = (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (((irel @ Y1 @ Y0) & (irel @ Y2 @ Y1)) => (irel @ Y2 @ Y0)))))))))),
% 46.32/6.21 inference(cnf_transformation,[],[f52])).
% 46.32/6.21 thf(f52,plain,(
% 46.32/6.21 ($true = (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (((irel @ Y1 @ Y0) & (irel @ Y2 @ Y1)) => (irel @ Y2 @ Y0)))))))))),
% 46.32/6.21 inference(fool_elimination,[],[f51])).
% 46.32/6.21 thf(f51,plain,(
% 46.32/6.21 ! [X0,X1,X2] : (((irel @ X0 @ X1) & (irel @ X1 @ X2)) => (irel @ X0 @ X2))),
% 46.32/6.21 inference(rectify,[],[f2])).
% 46.32/6.21 thf(f2,axiom,(
% 46.32/6.21 ! [X0,X1,X2] : (((irel @ X0 @ X1) & (irel @ X1 @ X2)) => (irel @ X0 @ X2))),
% 46.32/6.21 file('/export/starexec/sandbox/benchmark/theBenchmark.p',trans_axiom)).
% 46.32/6.21 thf(f5321,plain,(
% 46.32/6.21 ( ! [X1 : $i] : (($false = (irel @ (sK8 @ sK1) @ X1)) | ($true = (b0 @ X1))) ) | ~spl0_111),
% 46.32/6.21 inference(avatar_component_clause,[],[f5320])).
% 46.32/6.21 thf(f5320,plain,(
% 46.32/6.21 spl0_111 <=> ! [X1] : (($true = (b0 @ X1)) | ($false = (irel @ (sK8 @ sK1) @ X1)))),
% 46.32/6.21 introduced(avatar_definition,[new_symbols(naming,[spl0_111])])).
% 46.32/6.21 thf(f7370,plain,(
% 46.32/6.21 ($true = (irel @ (sK10 @ (sK8 @ sK1)) @ (sK11 @ (sK8 @ sK1)))) | ~spl0_171),
% 46.32/6.21 inference(avatar_component_clause,[],[f7368])).
% 46.32/6.21 thf(f7368,plain,(
% 46.32/6.21 spl0_171 <=> ($true = (irel @ (sK10 @ (sK8 @ sK1)) @ (sK11 @ (sK8 @ sK1))))),
% 46.32/6.21 introduced(avatar_definition,[new_symbols(naming,[spl0_171])])).
% 46.32/6.21 thf(f8709,plain,(
% 46.32/6.21 ~spl0_65 | ~spl0_131 | ~spl0_134 | ~spl0_135),
% 46.32/6.21 inference(avatar_contradiction_clause,[],[f8708])).
% 46.32/6.21 thf(f8708,plain,(
% 46.32/6.21 $false | (~spl0_65 | ~spl0_131 | ~spl0_134 | ~spl0_135)),
% 46.32/6.21 inference(trivial_inequality_removal,[],[f8707])).
% 46.32/6.21 thf(f8707,plain,(
% 46.32/6.21 ($true = $false) | (~spl0_65 | ~spl0_131 | ~spl0_134 | ~spl0_135)),
% 46.32/6.21 inference(forward_demodulation,[],[f8699,f6781])).
% 46.32/6.21 thf(f6781,plain,(
% 46.32/6.21 ((a3 @ (sK5 @ (sK8 @ sK1))) = $false) | ~spl0_135),
% 46.32/6.21 inference(avatar_component_clause,[],[f6779])).
% 46.32/6.21 thf(f6779,plain,(
% 46.32/6.21 spl0_135 <=> ((a3 @ (sK5 @ (sK8 @ sK1))) = $false)),
% 46.32/6.21 introduced(avatar_definition,[new_symbols(naming,[spl0_135])])).
% 46.32/6.21 thf(f8699,plain,(
% 46.32/6.21 ($true = (a3 @ (sK5 @ (sK8 @ sK1)))) | (~spl0_65 | ~spl0_131 | ~spl0_134)),
% 46.32/6.21 inference(trivial_inequality_removal,[],[f8697])).
% 46.32/6.21 thf(f8697,plain,(
% 46.32/6.21 ($true = (a3 @ (sK5 @ (sK8 @ sK1)))) | ($true = $false) | (~spl0_65 | ~spl0_131 | ~spl0_134)),
% 46.32/6.21 inference(superposition,[],[f6776,f8680])).
% 46.32/6.21 thf(f8680,plain,(
% 46.32/6.21 ( ! [X0 : $i] : (($false = (irel @ (sK4 @ (sK8 @ sK1)) @ X0)) | ($true = (a3 @ X0))) ) | (~spl0_65 | ~spl0_131)),
% 46.32/6.21 inference(trivial_inequality_removal,[],[f8664])).
% 46.32/6.21 thf(f8664,plain,(
% 46.32/6.21 ( ! [X0 : $i] : (($true = (a3 @ X0)) | ($false = (irel @ (sK4 @ (sK8 @ sK1)) @ X0)) | ($true = $false)) ) | (~spl0_65 | ~spl0_131)),
% 46.32/6.21 inference(superposition,[],[f7684,f6761])).
% 46.32/6.21 thf(f6761,plain,(
% 46.32/6.21 ($true = (irel @ (sK8 @ sK1) @ (sK4 @ (sK8 @ sK1)))) | ~spl0_131),
% 46.32/6.21 inference(avatar_component_clause,[],[f6759])).
% 46.32/6.21 thf(f6759,plain,(
% 46.32/6.21 spl0_131 <=> ($true = (irel @ (sK8 @ sK1) @ (sK4 @ (sK8 @ sK1))))),
% 46.32/6.21 introduced(avatar_definition,[new_symbols(naming,[spl0_131])])).
% 46.32/6.21 thf(f7684,plain,(
% 46.32/6.21 ( ! [X0 : $i,X1 : $i] : (($false = (irel @ (sK8 @ sK1) @ X1)) | ((irel @ X1 @ X0) = $false) | ($true = (a3 @ X0))) ) | ~spl0_65),
% 46.32/6.21 inference(trivial_inequality_removal,[],[f7678])).
% 46.32/6.21 thf(f7678,plain,(
% 46.32/6.21 ( ! [X0 : $i,X1 : $i] : (($false = (irel @ (sK8 @ sK1) @ X1)) | ($true = $false) | ((irel @ X1 @ X0) = $false) | ($true = (a3 @ X0))) ) | ~spl0_65),
% 46.32/6.21 inference(superposition,[],[f2601,f3564])).
% 46.32/6.21 thf(f3564,plain,(
% 46.32/6.21 ( ! [X0 : $i] : (($false = (irel @ (sK8 @ sK1) @ X0)) | ($true = (a3 @ X0))) ) | ~spl0_65),
% 46.32/6.21 inference(avatar_component_clause,[],[f3563])).
% 46.32/6.21 thf(f3563,plain,(
% 46.32/6.21 spl0_65 <=> ! [X0] : (($true = (a3 @ X0)) | ($false = (irel @ (sK8 @ sK1) @ X0)))),
% 46.32/6.21 introduced(avatar_definition,[new_symbols(naming,[spl0_65])])).
% 46.32/6.21 thf(f6776,plain,(
% 46.32/6.21 ($true = (irel @ (sK4 @ (sK8 @ sK1)) @ (sK5 @ (sK8 @ sK1)))) | ~spl0_134),
% 46.32/6.21 inference(avatar_component_clause,[],[f6774])).
% 46.32/6.21 thf(f6774,plain,(
% 46.32/6.21 spl0_134 <=> ($true = (irel @ (sK4 @ (sK8 @ sK1)) @ (sK5 @ (sK8 @ sK1))))),
% 46.32/6.21 introduced(avatar_definition,[new_symbols(naming,[spl0_134])])).
% 46.32/6.21 thf(f8539,plain,(
% 46.32/6.21 ~spl0_72 | ~spl0_82 | ~spl0_124 | ~spl0_130),
% 46.32/6.21 inference(avatar_contradiction_clause,[],[f8538])).
% 46.32/6.21 thf(f8538,plain,(
% 46.32/6.21 $false | (~spl0_72 | ~spl0_82 | ~spl0_124 | ~spl0_130)),
% 46.32/6.21 inference(trivial_inequality_removal,[],[f8537])).
% 46.32/6.21 thf(f8537,plain,(
% 46.32/6.21 ($true = $false) | (~spl0_72 | ~spl0_82 | ~spl0_124 | ~spl0_130)),
% 46.32/6.21 inference(forward_demodulation,[],[f8528,f3595])).
% 46.32/6.21 thf(f3595,plain,(
% 46.32/6.21 ((a2 @ (sK7 @ (sK8 @ sK1))) = $false) | ~spl0_72),
% 46.32/6.21 inference(avatar_component_clause,[],[f3593])).
% 46.32/6.21 thf(f3593,plain,(
% 46.32/6.21 spl0_72 <=> ((a2 @ (sK7 @ (sK8 @ sK1))) = $false)),
% 46.32/6.21 introduced(avatar_definition,[new_symbols(naming,[spl0_72])])).
% 46.32/6.21 thf(f8528,plain,(
% 46.32/6.21 ($true = (a2 @ (sK7 @ (sK8 @ sK1)))) | (~spl0_82 | ~spl0_124 | ~spl0_130)),
% 46.32/6.21 inference(trivial_inequality_removal,[],[f8527])).
% 46.32/6.21 thf(f8527,plain,(
% 46.32/6.21 ($true = $false) | ($true = (a2 @ (sK7 @ (sK8 @ sK1)))) | (~spl0_82 | ~spl0_124 | ~spl0_130)),
% 46.32/6.21 inference(superposition,[],[f6655,f8508])).
% 46.32/6.21 thf(f8508,plain,(
% 46.32/6.21 ( ! [X0 : $i] : (($false = (irel @ (sK6 @ (sK8 @ sK1)) @ X0)) | ($true = (a2 @ X0))) ) | (~spl0_82 | ~spl0_130)),
% 46.32/6.21 inference(trivial_inequality_removal,[],[f8498])).
% 46.32/6.21 thf(f8498,plain,(
% 46.32/6.21 ( ! [X0 : $i] : (($true = $false) | ($false = (irel @ (sK6 @ (sK8 @ sK1)) @ X0)) | ($true = (a2 @ X0))) ) | (~spl0_82 | ~spl0_130)),
% 46.32/6.21 inference(superposition,[],[f7189,f4010])).
% 46.32/6.21 thf(f4010,plain,(
% 46.32/6.21 ($true = (irel @ (sK8 @ sK1) @ (sK6 @ (sK8 @ sK1)))) | ~spl0_82),
% 46.32/6.21 inference(avatar_component_clause,[],[f4008])).
% 46.32/6.21 thf(f4008,plain,(
% 46.32/6.21 spl0_82 <=> ($true = (irel @ (sK8 @ sK1) @ (sK6 @ (sK8 @ sK1))))),
% 46.32/6.21 introduced(avatar_definition,[new_symbols(naming,[spl0_82])])).
% 46.32/6.21 thf(f7189,plain,(
% 46.32/6.21 ( ! [X0 : $i,X1 : $i] : (($false = (irel @ (sK8 @ sK1) @ X1)) | ((irel @ X1 @ X0) = $false) | ($true = (a2 @ X0))) ) | ~spl0_130),
% 46.32/6.21 inference(trivial_inequality_removal,[],[f7177])).
% 46.32/6.21 thf(f7177,plain,(
% 46.32/6.21 ( ! [X0 : $i,X1 : $i] : (((irel @ X1 @ X0) = $false) | ($false = (irel @ (sK8 @ sK1) @ X1)) | ($true = (a2 @ X0)) | ($true = $false)) ) | ~spl0_130),
% 46.32/6.21 inference(superposition,[],[f6757,f2601])).
% 46.32/6.21 thf(f6757,plain,(
% 46.32/6.21 ( ! [X0 : $i] : (($false = (irel @ (sK8 @ sK1) @ X0)) | ($true = (a2 @ X0))) ) | ~spl0_130),
% 46.32/6.21 inference(avatar_component_clause,[],[f6756])).
% 46.32/6.21 thf(f6756,plain,(
% 46.32/6.21 spl0_130 <=> ! [X0] : (($false = (irel @ (sK8 @ sK1) @ X0)) | ($true = (a2 @ X0)))),
% 46.32/6.21 introduced(avatar_definition,[new_symbols(naming,[spl0_130])])).
% 46.32/6.21 thf(f6655,plain,(
% 46.32/6.21 ($true = (irel @ (sK6 @ (sK8 @ sK1)) @ (sK7 @ (sK8 @ sK1)))) | ~spl0_124),
% 46.32/6.21 inference(avatar_component_clause,[],[f6653])).
% 46.32/6.21 thf(f6653,plain,(
% 46.32/6.21 spl0_124 <=> ($true = (irel @ (sK6 @ (sK8 @ sK1)) @ (sK7 @ (sK8 @ sK1))))),
% 46.32/6.21 introduced(avatar_definition,[new_symbols(naming,[spl0_124])])).
% 46.32/6.21 thf(f7389,plain,(
% 46.32/6.21 spl0_65 | spl0_171 | ~spl0_18 | ~spl0_63),
% 46.32/6.21 inference(avatar_split_clause,[],[f4447,f3387,f288,f7368,f3563])).
% 46.32/6.21 thf(f288,plain,(
% 46.32/6.21 spl0_18 <=> ! [X2,X1] : (($false = (irel @ sK1 @ X1)) | ((irel @ X1 @ X2) = $false) | ($true = (irel @ (sK10 @ X1) @ (sK11 @ X1))) | ($true = (a3 @ X2)))),
% 46.32/6.21 introduced(avatar_definition,[new_symbols(naming,[spl0_18])])).
% 46.32/6.21 thf(f3387,plain,(
% 46.32/6.21 spl0_63 <=> ($true = (irel @ sK1 @ (sK8 @ sK1)))),
% 46.32/6.21 introduced(avatar_definition,[new_symbols(naming,[spl0_63])])).
% 46.32/6.21 thf(f4447,plain,(
% 46.32/6.21 ( ! [X0 : $i] : (($true = (a3 @ X0)) | ($false = (irel @ (sK8 @ sK1) @ X0)) | ($true = (irel @ (sK10 @ (sK8 @ sK1)) @ (sK11 @ (sK8 @ sK1))))) ) | (~spl0_18 | ~spl0_63)),
% 46.32/6.21 inference(trivial_inequality_removal,[],[f4441])).
% 46.32/6.21 thf(f4441,plain,(
% 46.32/6.21 ( ! [X0 : $i] : (($false = (irel @ (sK8 @ sK1) @ X0)) | ($true = (a3 @ X0)) | ($true = (irel @ (sK10 @ (sK8 @ sK1)) @ (sK11 @ (sK8 @ sK1)))) | ($true = $false)) ) | (~spl0_18 | ~spl0_63)),
% 46.32/6.21 inference(superposition,[],[f3389,f289])).
% 46.32/6.21 thf(f289,plain,(
% 46.32/6.21 ( ! [X2 : $i,X1 : $i] : (($false = (irel @ sK1 @ X1)) | ($true = (irel @ (sK10 @ X1) @ (sK11 @ X1))) | ($true = (a3 @ X2)) | ((irel @ X1 @ X2) = $false)) ) | ~spl0_18),
% 46.32/6.21 inference(avatar_component_clause,[],[f288])).
% 46.32/6.21 thf(f3389,plain,(
% 46.32/6.21 ($true = (irel @ sK1 @ (sK8 @ sK1))) | ~spl0_63),
% 46.32/6.21 inference(avatar_component_clause,[],[f3387])).
% 46.32/6.21 thf(f6815,plain,(
% 46.32/6.21 spl0_135 | spl0_130 | ~spl0_7 | ~spl0_63),
% 46.32/6.21 inference(avatar_split_clause,[],[f3552,f3387,f188,f6756,f6779])).
% 46.32/6.21 thf(f188,plain,(
% 46.32/6.21 spl0_7 <=> ! [X2,X1] : (((irel @ X1 @ X2) = $false) | ($false = (a3 @ (sK5 @ X1))) | ($false = (irel @ sK1 @ X1)) | ($true = (a2 @ X2)))),
% 46.32/6.21 introduced(avatar_definition,[new_symbols(naming,[spl0_7])])).
% 46.32/6.21 thf(f3552,plain,(
% 46.32/6.21 ( ! [X0 : $i] : (($false = (irel @ (sK8 @ sK1) @ X0)) | ($true = (a2 @ X0)) | ((a3 @ (sK5 @ (sK8 @ sK1))) = $false)) ) | (~spl0_7 | ~spl0_63)),
% 46.32/6.21 inference(trivial_inequality_removal,[],[f3504])).
% 46.32/6.21 thf(f3504,plain,(
% 46.32/6.21 ( ! [X0 : $i] : (($true = $false) | ($true = (a2 @ X0)) | ($false = (irel @ (sK8 @ sK1) @ X0)) | ((a3 @ (sK5 @ (sK8 @ sK1))) = $false)) ) | (~spl0_7 | ~spl0_63)),
% 46.32/6.21 inference(superposition,[],[f3389,f189])).
% 46.32/6.21 thf(f189,plain,(
% 46.32/6.21 ( ! [X2 : $i,X1 : $i] : (($false = (irel @ sK1 @ X1)) | ($false = (a3 @ (sK5 @ X1))) | ($true = (a2 @ X2)) | ((irel @ X1 @ X2) = $false)) ) | ~spl0_7),
% 46.32/6.21 inference(avatar_component_clause,[],[f188])).
% 46.32/6.21 thf(f6801,plain,(
% 46.32/6.21 spl0_131 | spl0_130 | ~spl0_4 | ~spl0_63),
% 46.32/6.21 inference(avatar_split_clause,[],[f3974,f3387,f157,f6756,f6759])).
% 46.32/6.21 thf(f157,plain,(
% 46.32/6.21 spl0_4 <=> ! [X2,X1] : (($true = (a2 @ X2)) | ($true = (irel @ X1 @ (sK4 @ X1))) | ($false = (irel @ sK1 @ X1)) | ((irel @ X1 @ X2) = $false))),
% 46.32/6.21 introduced(avatar_definition,[new_symbols(naming,[spl0_4])])).
% 46.32/6.21 thf(f3974,plain,(
% 46.32/6.21 ( ! [X0 : $i] : (($false = (irel @ (sK8 @ sK1) @ X0)) | ($true = (a2 @ X0)) | ($true = (irel @ (sK8 @ sK1) @ (sK4 @ (sK8 @ sK1))))) ) | (~spl0_4 | ~spl0_63)),
% 46.32/6.21 inference(trivial_inequality_removal,[],[f3967])).
% 46.32/6.21 thf(f3967,plain,(
% 46.32/6.21 ( ! [X0 : $i] : (($true = $false) | ($false = (irel @ (sK8 @ sK1) @ X0)) | ($true = (a2 @ X0)) | ($true = (irel @ (sK8 @ sK1) @ (sK4 @ (sK8 @ sK1))))) ) | (~spl0_4 | ~spl0_63)),
% 46.32/6.21 inference(superposition,[],[f3389,f158])).
% 46.32/6.21 thf(f158,plain,(
% 46.32/6.21 ( ! [X2 : $i,X1 : $i] : (($false = (irel @ sK1 @ X1)) | ((irel @ X1 @ X2) = $false) | ($true = (a2 @ X2)) | ($true = (irel @ X1 @ (sK4 @ X1)))) ) | ~spl0_4),
% 46.32/6.21 inference(avatar_component_clause,[],[f157])).
% 46.32/6.21 thf(f6788,plain,(
% 46.32/6.21 spl0_134 | spl0_130 | ~spl0_6 | ~spl0_63),
% 46.32/6.21 inference(avatar_split_clause,[],[f6610,f3387,f181,f6756,f6774])).
% 46.32/6.21 thf(f181,plain,(
% 46.32/6.21 spl0_6 <=> ! [X2,X1] : (((irel @ X1 @ X2) = $false) | ($true = (a2 @ X2)) | ($true = (irel @ (sK4 @ X1) @ (sK5 @ X1))) | ($false = (irel @ sK1 @ X1)))),
% 46.32/6.21 introduced(avatar_definition,[new_symbols(naming,[spl0_6])])).
% 46.32/6.21 thf(f6610,plain,(
% 46.32/6.21 ( ! [X0 : $i] : (($false = (irel @ (sK8 @ sK1) @ X0)) | ($true = (a2 @ X0)) | ($true = (irel @ (sK4 @ (sK8 @ sK1)) @ (sK5 @ (sK8 @ sK1))))) ) | (~spl0_6 | ~spl0_63)),
% 46.32/6.21 inference(trivial_inequality_removal,[],[f6600])).
% 46.32/6.21 thf(f6600,plain,(
% 46.32/6.21 ( ! [X0 : $i] : (($false = (irel @ (sK8 @ sK1) @ X0)) | ($true = (a2 @ X0)) | ($true = (irel @ (sK4 @ (sK8 @ sK1)) @ (sK5 @ (sK8 @ sK1)))) | ($true = $false)) ) | (~spl0_6 | ~spl0_63)),
% 46.32/6.21 inference(superposition,[],[f182,f3389])).
% 46.32/6.21 thf(f182,plain,(
% 46.32/6.21 ( ! [X2 : $i,X1 : $i] : (($false = (irel @ sK1 @ X1)) | ((irel @ X1 @ X2) = $false) | ($true = (a2 @ X2)) | ($true = (irel @ (sK4 @ X1) @ (sK5 @ X1)))) ) | ~spl0_6),
% 46.32/6.21 inference(avatar_component_clause,[],[f181])).
% 46.32/6.21 thf(f6667,plain,(
% 46.32/6.21 spl0_124 | spl0_73 | ~spl0_8 | ~spl0_63),
% 46.32/6.21 inference(avatar_split_clause,[],[f6644,f3387,f207,f3597,f6653])).
% 46.32/6.21 thf(f3597,plain,(
% 46.32/6.21 spl0_73 <=> ! [X0] : (($false = (irel @ (sK8 @ sK1) @ X0)) | ($true = (a1 @ X0)))),
% 46.32/6.21 introduced(avatar_definition,[new_symbols(naming,[spl0_73])])).
% 46.32/6.21 thf(f207,plain,(
% 46.32/6.21 spl0_8 <=> ! [X2,X1] : (($true = (irel @ (sK6 @ X1) @ (sK7 @ X1))) | ($true = (a1 @ X2)) | ($false = (irel @ sK1 @ X1)) | ((irel @ X1 @ X2) = $false))),
% 46.32/6.21 introduced(avatar_definition,[new_symbols(naming,[spl0_8])])).
% 46.32/6.21 thf(f6644,plain,(
% 46.32/6.21 ( ! [X0 : $i] : (($true = (a1 @ X0)) | ($true = (irel @ (sK6 @ (sK8 @ sK1)) @ (sK7 @ (sK8 @ sK1)))) | ($false = (irel @ (sK8 @ sK1) @ X0))) ) | (~spl0_8 | ~spl0_63)),
% 46.32/6.21 inference(trivial_inequality_removal,[],[f6634])).
% 46.32/6.21 thf(f6634,plain,(
% 46.32/6.21 ( ! [X0 : $i] : (($true = (a1 @ X0)) | ($true = (irel @ (sK6 @ (sK8 @ sK1)) @ (sK7 @ (sK8 @ sK1)))) | ($false = (irel @ (sK8 @ sK1) @ X0)) | ($true = $false)) ) | (~spl0_8 | ~spl0_63)),
% 46.32/6.21 inference(superposition,[],[f3389,f208])).
% 46.32/6.21 thf(f208,plain,(
% 46.32/6.21 ( ! [X2 : $i,X1 : $i] : (($false = (irel @ sK1 @ X1)) | ($true = (irel @ (sK6 @ X1) @ (sK7 @ X1))) | ($true = (a1 @ X2)) | ((irel @ X1 @ X2) = $false)) ) | ~spl0_8),
% 46.32/6.21 inference(avatar_component_clause,[],[f207])).
% 46.32/6.21 thf(f5333,plain,(
% 46.32/6.21 spl0_111 | spl0_36 | ~spl0_15),
% 46.32/6.21 inference(avatar_split_clause,[],[f5306,f260,f2717,f5320])).
% 46.32/6.21 thf(f2717,plain,(
% 46.32/6.21 spl0_36 <=> ! [X0] : (($true = (a0 @ X0)) | ((irel @ sK1 @ X0) = $false))),
% 46.32/6.21 introduced(avatar_definition,[new_symbols(naming,[spl0_36])])).
% 46.32/6.21 thf(f260,plain,(
% 46.32/6.21 spl0_15 <=> ! [X2,X1,X3] : (($false = (irel @ sK1 @ X1)) | ($false = (irel @ (sK8 @ X1) @ X3)) | ($true = (a0 @ X2)) | ((irel @ X1 @ X2) = $false) | ($true = (b0 @ X3)))),
% 46.32/6.21 introduced(avatar_definition,[new_symbols(naming,[spl0_15])])).
% 46.32/6.21 thf(f5306,plain,(
% 46.32/6.21 ( ! [X0 : $i,X1 : $i] : (($false = (irel @ (sK8 @ sK1) @ X1)) | ($true = (b0 @ X1)) | ($true = (a0 @ X0)) | ((irel @ sK1 @ X0) = $false)) ) | ~spl0_15),
% 46.32/6.21 inference(trivial_inequality_removal,[],[f5291])).
% 46.32/6.21 thf(f5291,plain,(
% 46.32/6.21 ( ! [X0 : $i,X1 : $i] : (($true = $false) | ($true = (b0 @ X1)) | ($true = (a0 @ X0)) | ((irel @ sK1 @ X0) = $false) | ($false = (irel @ (sK8 @ sK1) @ X1))) ) | ~spl0_15),
% 46.32/6.21 inference(superposition,[],[f261,f2603])).
% 46.32/6.21 thf(f2603,plain,(
% 46.32/6.21 ( ! [X1 : $i] : (($true = (irel @ X1 @ X1))) )),
% 46.32/6.21 inference(beta_eta_normalization,[],[f2602])).
% 46.32/6.21 thf(f2602,plain,(
% 46.32/6.21 ( ! [X1 : $i] : (($true = ((^[Y0 : $i]: (irel @ Y0 @ Y0)) @ X1))) )),
% 46.32/6.21 inference(pi_clausification,[],[f70])).
% 46.32/6.21 thf(f70,plain,(
% 46.32/6.21 ($true = (!! @ $i @ (^[Y0 : $i]: (irel @ Y0 @ Y0))))),
% 46.32/6.21 inference(cnf_transformation,[],[f64])).
% 46.32/6.21 thf(f64,plain,(
% 46.32/6.21 ($true = (!! @ $i @ (^[Y0 : $i]: (irel @ Y0 @ Y0))))),
% 46.32/6.21 inference(fool_elimination,[],[f63])).
% 46.32/6.21 thf(f63,plain,(
% 46.32/6.21 ! [X0] : (irel @ X0 @ X0)),
% 46.32/6.21 inference(rectify,[],[f1])).
% 46.32/6.21 thf(f1,axiom,(
% 46.32/6.21 ! [X0] : (irel @ X0 @ X0)),
% 46.32/6.21 file('/export/starexec/sandbox/benchmark/theBenchmark.p',refl_axiom)).
% 46.32/6.21 thf(f261,plain,(
% 46.32/6.21 ( ! [X2 : $i,X3 : $i,X1 : $i] : (($false = (irel @ sK1 @ X1)) | ($true = (a0 @ X2)) | ($true = (b0 @ X3)) | ($false = (irel @ (sK8 @ X1) @ X3)) | ((irel @ X1 @ X2) = $false)) ) | ~spl0_15),
% 46.32/6.21 inference(avatar_component_clause,[],[f260])).
% 46.32/6.21 thf(f4569,plain,(
% 46.32/6.21 ~spl0_34 | ~spl0_73 | ~spl0_86),
% 46.32/6.21 inference(avatar_contradiction_clause,[],[f4568])).
% 46.32/6.21 thf(f4568,plain,(
% 46.32/6.21 $false | (~spl0_34 | ~spl0_73 | ~spl0_86)),
% 46.32/6.21 inference(trivial_inequality_removal,[],[f4567])).
% 46.32/6.21 thf(f4567,plain,(
% 46.32/6.21 ($true = $false) | (~spl0_34 | ~spl0_73 | ~spl0_86)),
% 46.32/6.21 inference(forward_demodulation,[],[f4536,f2709])).
% 46.32/6.21 thf(f2709,plain,(
% 46.32/6.21 ((a1 @ (sK9 @ sK1)) = $false) | ~spl0_34),
% 46.32/6.21 inference(avatar_component_clause,[],[f2707])).
% 46.32/6.21 thf(f2707,plain,(
% 46.32/6.21 spl0_34 <=> ((a1 @ (sK9 @ sK1)) = $false)),
% 46.32/6.21 introduced(avatar_definition,[new_symbols(naming,[spl0_34])])).
% 46.32/6.21 thf(f4536,plain,(
% 46.32/6.21 ($true = (a1 @ (sK9 @ sK1))) | (~spl0_73 | ~spl0_86)),
% 46.32/6.21 inference(trivial_inequality_removal,[],[f4523])).
% 46.32/6.21 thf(f4523,plain,(
% 46.32/6.21 ($true = $false) | ($true = (a1 @ (sK9 @ sK1))) | (~spl0_73 | ~spl0_86)),
% 46.32/6.21 inference(superposition,[],[f3598,f4489])).
% 46.32/6.21 thf(f4489,plain,(
% 46.32/6.21 ($true = (irel @ (sK8 @ sK1) @ (sK9 @ sK1))) | ~spl0_86),
% 46.32/6.21 inference(avatar_component_clause,[],[f4487])).
% 46.32/6.21 thf(f4487,plain,(
% 46.32/6.21 spl0_86 <=> ($true = (irel @ (sK8 @ sK1) @ (sK9 @ sK1)))),
% 46.32/6.21 introduced(avatar_definition,[new_symbols(naming,[spl0_86])])).
% 46.32/6.21 thf(f3598,plain,(
% 46.32/6.21 ( ! [X0 : $i] : (($false = (irel @ (sK8 @ sK1) @ X0)) | ($true = (a1 @ X0))) ) | ~spl0_73),
% 46.32/6.21 inference(avatar_component_clause,[],[f3597])).
% 46.32/6.21 thf(f4492,plain,(
% 46.32/6.21 spl0_36 | spl0_86 | ~spl0_13),
% 46.32/6.21 inference(avatar_split_clause,[],[f4475,f247,f4487,f2717])).
% 46.32/6.21 thf(f247,plain,(
% 46.32/6.21 spl0_13 <=> ! [X2,X1] : (($true = (a0 @ X2)) | ($false = (irel @ sK1 @ X1)) | ($true = (irel @ (sK8 @ X1) @ (sK9 @ X1))) | ((irel @ X1 @ X2) = $false))),
% 46.32/6.21 introduced(avatar_definition,[new_symbols(naming,[spl0_13])])).
% 46.32/6.21 thf(f4475,plain,(
% 46.32/6.21 ( ! [X0 : $i] : (((irel @ sK1 @ X0) = $false) | ($true = (a0 @ X0)) | ($true = (irel @ (sK8 @ sK1) @ (sK9 @ sK1)))) ) | ~spl0_13),
% 46.32/6.21 inference(trivial_inequality_removal,[],[f4457])).
% 46.32/6.21 thf(f4457,plain,(
% 46.32/6.21 ( ! [X0 : $i] : (($true = (irel @ (sK8 @ sK1) @ (sK9 @ sK1))) | ($true = (a0 @ X0)) | ((irel @ sK1 @ X0) = $false) | ($true = $false)) ) | ~spl0_13),
% 46.32/6.21 inference(superposition,[],[f248,f2603])).
% 46.32/6.21 thf(f248,plain,(
% 46.32/6.21 ( ! [X2 : $i,X1 : $i] : (($false = (irel @ sK1 @ X1)) | ((irel @ X1 @ X2) = $false) | ($true = (irel @ (sK8 @ X1) @ (sK9 @ X1))) | ($true = (a0 @ X2))) ) | ~spl0_13),
% 46.32/6.21 inference(avatar_component_clause,[],[f247])).
% 46.32/6.21 thf(f4022,plain,(
% 46.32/6.21 spl0_73 | spl0_82 | ~spl0_11 | ~spl0_63),
% 46.32/6.21 inference(avatar_split_clause,[],[f4001,f3387,f223,f4008,f3597])).
% 46.32/6.21 thf(f223,plain,(
% 46.32/6.21 spl0_11 <=> ! [X2,X1] : (($false = (irel @ sK1 @ X1)) | ($true = (a1 @ X2)) | ($true = (irel @ X1 @ (sK6 @ X1))) | ((irel @ X1 @ X2) = $false))),
% 46.32/6.21 introduced(avatar_definition,[new_symbols(naming,[spl0_11])])).
% 46.32/6.21 thf(f4001,plain,(
% 46.32/6.21 ( ! [X0 : $i] : (($true = (a1 @ X0)) | ($false = (irel @ (sK8 @ sK1) @ X0)) | ($true = (irel @ (sK8 @ sK1) @ (sK6 @ (sK8 @ sK1))))) ) | (~spl0_11 | ~spl0_63)),
% 46.32/6.21 inference(trivial_inequality_removal,[],[f3986])).
% 46.32/6.21 thf(f3986,plain,(
% 46.32/6.21 ( ! [X0 : $i] : (($true = (irel @ (sK8 @ sK1) @ (sK6 @ (sK8 @ sK1)))) | ($true = (a1 @ X0)) | ($true = $false) | ($false = (irel @ (sK8 @ sK1) @ X0))) ) | (~spl0_11 | ~spl0_63)),
% 46.32/6.21 inference(superposition,[],[f224,f3389])).
% 46.32/6.21 thf(f224,plain,(
% 46.32/6.21 ( ! [X2 : $i,X1 : $i] : (($false = (irel @ sK1 @ X1)) | ((irel @ X1 @ X2) = $false) | ($true = (a1 @ X2)) | ($true = (irel @ X1 @ (sK6 @ X1)))) ) | ~spl0_11),
% 46.32/6.21 inference(avatar_component_clause,[],[f223])).
% 46.32/6.21 thf(f3612,plain,(
% 46.32/6.21 spl0_73 | spl0_72 | ~spl0_9 | ~spl0_63),
% 46.32/6.21 inference(avatar_split_clause,[],[f3541,f3387,f211,f3593,f3597])).
% 46.32/6.21 thf(f211,plain,(
% 46.32/6.21 spl0_9 <=> ! [X2,X1] : (($true = (a1 @ X2)) | ($false = (a2 @ (sK7 @ X1))) | ((irel @ X1 @ X2) = $false) | ($false = (irel @ sK1 @ X1)))),
% 46.32/6.21 introduced(avatar_definition,[new_symbols(naming,[spl0_9])])).
% 46.32/6.21 thf(f3541,plain,(
% 46.32/6.21 ( ! [X0 : $i] : (((a2 @ (sK7 @ (sK8 @ sK1))) = $false) | ($true = (a1 @ X0)) | ($false = (irel @ (sK8 @ sK1) @ X0))) ) | (~spl0_9 | ~spl0_63)),
% 46.32/6.21 inference(trivial_inequality_removal,[],[f3505])).
% 46.32/6.21 thf(f3505,plain,(
% 46.32/6.21 ( ! [X0 : $i] : (($false = (irel @ (sK8 @ sK1) @ X0)) | ($true = $false) | ($true = (a1 @ X0)) | ((a2 @ (sK7 @ (sK8 @ sK1))) = $false)) ) | (~spl0_9 | ~spl0_63)),
% 46.32/6.21 inference(superposition,[],[f3389,f212])).
% 46.32/6.21 thf(f212,plain,(
% 46.32/6.21 ( ! [X2 : $i,X1 : $i] : (($false = (irel @ sK1 @ X1)) | ($true = (a1 @ X2)) | ((irel @ X1 @ X2) = $false) | ($false = (a2 @ (sK7 @ X1)))) ) | ~spl0_9),
% 46.32/6.21 inference(avatar_component_clause,[],[f211])).
% 46.32/6.21 thf(f3606,plain,(
% 46.32/6.21 spl0_65 | spl0_66 | ~spl0_16 | ~spl0_63),
% 46.32/6.21 inference(avatar_split_clause,[],[f3543,f3387,f273,f3566,f3563])).
% 46.32/6.21 thf(f273,plain,(
% 46.32/6.21 spl0_16 <=> ! [X2,X1] : (($true = (a3 @ X2)) | ($false = (irel @ sK1 @ X1)) | ($true = (irel @ X1 @ (sK10 @ X1))) | ((irel @ X1 @ X2) = $false))),
% 46.32/6.21 introduced(avatar_definition,[new_symbols(naming,[spl0_16])])).
% 46.32/6.21 thf(f3543,plain,(
% 46.32/6.21 ( ! [X0 : $i] : (($true = (irel @ (sK8 @ sK1) @ (sK10 @ (sK8 @ sK1)))) | ($true = (a3 @ X0)) | ($false = (irel @ (sK8 @ sK1) @ X0))) ) | (~spl0_16 | ~spl0_63)),
% 46.32/6.21 inference(trivial_inequality_removal,[],[f3508])).
% 46.32/6.21 thf(f3508,plain,(
% 46.32/6.21 ( ! [X0 : $i] : (($true = $false) | ($true = (irel @ (sK8 @ sK1) @ (sK10 @ (sK8 @ sK1)))) | ($true = (a3 @ X0)) | ($false = (irel @ (sK8 @ sK1) @ X0))) ) | (~spl0_16 | ~spl0_63)),
% 46.32/6.21 inference(superposition,[],[f3389,f274])).
% 46.32/6.21 thf(f274,plain,(
% 46.32/6.21 ( ! [X2 : $i,X1 : $i] : (($false = (irel @ sK1 @ X1)) | ($true = (irel @ X1 @ (sK10 @ X1))) | ($true = (a3 @ X2)) | ((irel @ X1 @ X2) = $false)) ) | ~spl0_16),
% 46.32/6.21 inference(avatar_component_clause,[],[f273])).
% 46.32/6.21 thf(f3575,plain,(
% 46.32/6.21 spl0_67 | spl0_65 | ~spl0_17 | ~spl0_63),
% 46.32/6.21 inference(avatar_split_clause,[],[f3555,f3387,f284,f3563,f3571])).
% 46.32/6.21 thf(f284,plain,(
% 46.32/6.21 spl0_17 <=> ! [X2,X1] : (((b0 @ (sK11 @ X1)) = $false) | ($true = (a3 @ X2)) | ((irel @ X1 @ X2) = $false) | ($false = (irel @ sK1 @ X1)))),
% 46.32/6.21 introduced(avatar_definition,[new_symbols(naming,[spl0_17])])).
% 46.32/6.21 thf(f3555,plain,(
% 46.32/6.21 ( ! [X0 : $i] : (($true = (a3 @ X0)) | ($false = (irel @ (sK8 @ sK1) @ X0)) | ((b0 @ (sK11 @ (sK8 @ sK1))) = $false)) ) | (~spl0_17 | ~spl0_63)),
% 46.32/6.21 inference(trivial_inequality_removal,[],[f3524])).
% 46.32/6.21 thf(f3524,plain,(
% 46.32/6.21 ( ! [X0 : $i] : (($false = (irel @ (sK8 @ sK1) @ X0)) | ((b0 @ (sK11 @ (sK8 @ sK1))) = $false) | ($true = $false) | ($true = (a3 @ X0))) ) | (~spl0_17 | ~spl0_63)),
% 46.32/6.21 inference(superposition,[],[f285,f3389])).
% 46.32/6.21 thf(f285,plain,(
% 46.32/6.21 ( ! [X2 : $i,X1 : $i] : (($false = (irel @ sK1 @ X1)) | ((irel @ X1 @ X2) = $false) | ($true = (a3 @ X2)) | ((b0 @ (sK11 @ X1)) = $false)) ) | ~spl0_17),
% 46.32/6.21 inference(avatar_component_clause,[],[f284])).
% 46.32/6.21 thf(f3479,plain,(
% 46.32/6.21 ~spl0_23 | ~spl0_36 | ~spl0_47),
% 46.32/6.21 inference(avatar_contradiction_clause,[],[f3478])).
% 46.32/6.21 thf(f3478,plain,(
% 46.32/6.21 $false | (~spl0_23 | ~spl0_36 | ~spl0_47)),
% 46.32/6.21 inference(trivial_inequality_removal,[],[f3477])).
% 46.32/6.21 thf(f3477,plain,(
% 46.32/6.21 ($true = $false) | (~spl0_23 | ~spl0_36 | ~spl0_47)),
% 46.32/6.21 inference(forward_demodulation,[],[f3465,f2631])).
% 46.32/6.21 thf(f2631,plain,(
% 46.32/6.21 ($false = (a0 @ (sK3 @ sK1))) | ~spl0_23),
% 46.32/6.21 inference(avatar_component_clause,[],[f2629])).
% 46.32/6.21 thf(f2629,plain,(
% 46.32/6.21 spl0_23 <=> ($false = (a0 @ (sK3 @ sK1)))),
% 46.32/6.21 introduced(avatar_definition,[new_symbols(naming,[spl0_23])])).
% 46.32/6.21 thf(f3465,plain,(
% 46.32/6.21 ($true = (a0 @ (sK3 @ sK1))) | (~spl0_36 | ~spl0_47)),
% 46.32/6.21 inference(trivial_inequality_removal,[],[f3462])).
% 46.32/6.21 thf(f3462,plain,(
% 46.32/6.21 ($true = $false) | ($true = (a0 @ (sK3 @ sK1))) | (~spl0_36 | ~spl0_47)),
% 46.32/6.21 inference(superposition,[],[f2886,f2718])).
% 46.32/6.21 thf(f2718,plain,(
% 46.32/6.21 ( ! [X0 : $i] : (((irel @ sK1 @ X0) = $false) | ($true = (a0 @ X0))) ) | ~spl0_36),
% 46.32/6.21 inference(avatar_component_clause,[],[f2717])).
% 46.32/6.21 thf(f2886,plain,(
% 46.32/6.21 ($true = (irel @ sK1 @ (sK3 @ sK1))) | ~spl0_47),
% 46.32/6.21 inference(avatar_component_clause,[],[f2884])).
% 46.32/6.21 thf(f2884,plain,(
% 46.32/6.21 spl0_47 <=> ($true = (irel @ sK1 @ (sK3 @ sK1)))),
% 46.32/6.21 introduced(avatar_definition,[new_symbols(naming,[spl0_47])])).
% 46.32/6.21 thf(f3401,plain,(
% 46.32/6.21 spl0_36 | spl0_63 | ~spl0_12),
% 46.32/6.21 inference(avatar_split_clause,[],[f3371,f236,f3387,f2717])).
% 46.32/6.21 thf(f236,plain,(
% 46.32/6.21 spl0_12 <=> ! [X2,X1] : (($false = (irel @ sK1 @ X1)) | ((irel @ X1 @ X2) = $false) | ($true = (irel @ X1 @ (sK8 @ X1))) | ($true = (a0 @ X2)))),
% 46.32/6.21 introduced(avatar_definition,[new_symbols(naming,[spl0_12])])).
% 46.32/6.21 thf(f3371,plain,(
% 46.32/6.21 ( ! [X0 : $i] : (($true = (irel @ sK1 @ (sK8 @ sK1))) | ((irel @ sK1 @ X0) = $false) | ($true = (a0 @ X0))) ) | ~spl0_12),
% 46.32/6.21 inference(trivial_inequality_removal,[],[f3365])).
% 46.32/6.21 thf(f3365,plain,(
% 46.32/6.21 ( ! [X0 : $i] : (($true = (irel @ sK1 @ (sK8 @ sK1))) | ((irel @ sK1 @ X0) = $false) | ($true = $false) | ($true = (a0 @ X0))) ) | ~spl0_12),
% 46.32/6.21 inference(superposition,[],[f2603,f237])).
% 46.32/6.21 thf(f237,plain,(
% 46.32/6.21 ( ! [X2 : $i,X1 : $i] : (($false = (irel @ sK1 @ X1)) | ($true = (a0 @ X2)) | ((irel @ X1 @ X2) = $false) | ($true = (irel @ X1 @ (sK8 @ X1)))) ) | ~spl0_12),
% 46.32/6.21 inference(avatar_component_clause,[],[f236])).
% 46.32/6.21 thf(f2939,plain,(
% 46.32/6.21 ~spl0_24),
% 46.32/6.21 inference(avatar_contradiction_clause,[],[f2938])).
% 46.32/6.21 thf(f2938,plain,(
% 46.32/6.21 $false | ~spl0_24),
% 46.32/6.21 inference(trivial_inequality_removal,[],[f2937])).
% 46.32/6.21 thf(f2937,plain,(
% 46.32/6.21 ($true = $false) | ~spl0_24),
% 46.32/6.21 inference(forward_demodulation,[],[f2930,f420])).
% 46.32/6.21 thf(f420,plain,(
% 46.32/6.21 ((f @ sK2) = $false)),
% 46.32/6.21 inference(binary_proxy_clausification,[],[f419])).
% 46.32/6.21 thf(f419,plain,(
% 46.32/6.21 ($false = ((irel @ sK1 @ sK2) => (f @ sK2)))),
% 46.32/6.21 inference(beta_eta_normalization,[],[f418])).
% 46.32/6.21 thf(f418,plain,(
% 46.32/6.21 (((^[Y0 : $i]: ((irel @ sK1 @ Y0) => (f @ Y0))) @ sK2) = $false)),
% 46.32/6.21 inference(sigma_clausification,[],[f109])).
% 46.32/6.21 thf(f109,plain,(
% 46.32/6.21 ($false = (!! @ $i @ (^[Y0 : $i]: ((irel @ sK1 @ Y0) => (f @ Y0)))))),
% 46.32/6.21 inference(duplicate_literal_removal,[],[f108])).
% 46.32/6.21 thf(f108,plain,(
% 46.32/6.21 ($false = (!! @ $i @ (^[Y0 : $i]: ((irel @ sK1 @ Y0) => (f @ Y0))))) | ($false = (!! @ $i @ (^[Y0 : $i]: ((irel @ sK1 @ Y0) => (f @ Y0)))))),
% 46.32/6.21 inference(binary_proxy_clausification,[],[f106])).
% 46.32/6.21 thf(f106,plain,(
% 46.32/6.21 (((!! @ $i @ (^[Y0 : $i]: ((irel @ sK1 @ Y0) => (f @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ sK1 @ Y0) => (((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (f @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a0 @ Y1)))))) & (((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a3 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => ((!! @ $i @ (^[Y2 : $i]: ((irel @ Y1 @ Y2) => (b0 @ Y2)))) | (~ (!! @ $i @ (^[Y2 : $i]: ((irel @ Y1 @ Y2) => (b3 @ Y2))))))))))) & (((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a0 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => ((!! @ $i @ (^[Y2 : $i]: ((irel @ Y1 @ Y2) => (a1 @ Y2)))) | (~ (!! @ $i @ (^[Y2 : $i]: ((irel @ Y1 @ Y2) => (b0 @ Y2))))))))))) & (((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a1 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => ((!! @ $i @ (^[Y2 : $i]: ((irel @ Y1 @ Y2) => (a2 @ Y2)))) | (~ (!! @ $i @ (^[Y2 : $i]: ((irel @ Y1 @ Y2) => (b1 @ Y2))))))))))) & ((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a2 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => ((!! @ $i @ (^[Y2 : $i]: ((irel @ Y1 @ Y2) => (a3 @ Y2)))) | (~ (!! @ $i @ (^[Y2 : $i]: ((irel @ Y1 @ Y2) => (b2 @ Y2)))))))))))))))))))) = $false) | ($false = (!! @ $i @ (^[Y0 : $i]: ((irel @ sK1 @ Y0) => (f @ Y0)))))),
% 46.32/6.21 inference(binary_proxy_clausification,[],[f104])).
% 46.32/6.21 thf(f104,plain,(
% 46.32/6.21 (((!! @ $i @ (^[Y0 : $i]: ((irel @ sK1 @ Y0) => (f @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ sK1 @ Y0) => (((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a2 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => ((!! @ $i @ (^[Y2 : $i]: ((irel @ Y1 @ Y2) => (a3 @ Y2)))) | (~ (!! @ $i @ (^[Y2 : $i]: ((irel @ Y1 @ Y2) => (b2 @ Y2))))))))))) & (((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a1 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => ((!! @ $i @ (^[Y2 : $i]: ((irel @ Y1 @ Y2) => (a2 @ Y2)))) | (~ (!! @ $i @ (^[Y2 : $i]: ((irel @ Y1 @ Y2) => (b1 @ Y2))))))))))) & (((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a0 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => ((!! @ $i @ (^[Y2 : $i]: ((irel @ Y1 @ Y2) => (a1 @ Y2)))) | (~ (!! @ $i @ (^[Y2 : $i]: ((irel @ Y1 @ Y2) => (b0 @ Y2))))))))))) & (((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a3 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => ((!! @ $i @ (^[Y2 : $i]: ((irel @ Y1 @ Y2) => (b0 @ Y2)))) | (~ (!! @ $i @ (^[Y2 : $i]: ((irel @ Y1 @ Y2) => (b3 @ Y2))))))))))) & ((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (f @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a0 @ Y1))))))))))))))) = $false) | (((!! @ $i @ (^[Y0 : $i]: ((irel @ sK1 @ Y0) => (f @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ sK1 @ Y0) => (((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (f @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a0 @ Y1)))))) & (((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a3 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => ((!! @ $i @ (^[Y2 : $i]: ((irel @ Y1 @ Y2) => (b0 @ Y2)))) | (~ (!! @ $i @ (^[Y2 : $i]: ((irel @ Y1 @ Y2) => (b3 @ Y2))))))))))) & (((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a0 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => ((!! @ $i @ (^[Y2 : $i]: ((irel @ Y1 @ Y2) => (a1 @ Y2)))) | (~ (!! @ $i @ (^[Y2 : $i]: ((irel @ Y1 @ Y2) => (b0 @ Y2))))))))))) & (((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a1 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => ((!! @ $i @ (^[Y2 : $i]: ((irel @ Y1 @ Y2) => (a2 @ Y2)))) | (~ (!! @ $i @ (^[Y2 : $i]: ((irel @ Y1 @ Y2) => (b1 @ Y2))))))))))) & ((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a2 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => ((!! @ $i @ (^[Y2 : $i]: ((irel @ Y1 @ Y2) => (a3 @ Y2)))) | (~ (!! @ $i @ (^[Y2 : $i]: ((irel @ Y1 @ Y2) => (b2 @ Y2)))))))))))))))))))) = $false)),
% 46.32/6.21 inference(binary_proxy_clausification,[],[f103])).
% 46.32/6.21 thf(f103,plain,(
% 46.32/6.21 ($false = (((!! @ $i @ (^[Y0 : $i]: ((irel @ sK1 @ Y0) => (f @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ sK1 @ Y0) => (((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (f @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a0 @ Y1)))))) & (((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a3 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => ((!! @ $i @ (^[Y2 : $i]: ((irel @ Y1 @ Y2) => (b0 @ Y2)))) | (~ (!! @ $i @ (^[Y2 : $i]: ((irel @ Y1 @ Y2) => (b3 @ Y2))))))))))) & (((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a0 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => ((!! @ $i @ (^[Y2 : $i]: ((irel @ Y1 @ Y2) => (a1 @ Y2)))) | (~ (!! @ $i @ (^[Y2 : $i]: ((irel @ Y1 @ Y2) => (b0 @ Y2))))))))))) & (((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a1 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => ((!! @ $i @ (^[Y2 : $i]: ((irel @ Y1 @ Y2) => (a2 @ Y2)))) | (~ (!! @ $i @ (^[Y2 : $i]: ((irel @ Y1 @ Y2) => (b1 @ Y2))))))))))) & ((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a2 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => ((!! @ $i @ (^[Y2 : $i]: ((irel @ Y1 @ Y2) => (a3 @ Y2)))) | (~ (!! @ $i @ (^[Y2 : $i]: ((irel @ Y1 @ Y2) => (b2 @ Y2)))))))))))))))))))) & ((!! @ $i @ (^[Y0 : $i]: ((irel @ sK1 @ Y0) => (f @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ sK1 @ Y0) => (((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a2 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => ((!! @ $i @ (^[Y2 : $i]: ((irel @ Y1 @ Y2) => (a3 @ Y2)))) | (~ (!! @ $i @ (^[Y2 : $i]: ((irel @ Y1 @ Y2) => (b2 @ Y2))))))))))) & (((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a1 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => ((!! @ $i @ (^[Y2 : $i]: ((irel @ Y1 @ Y2) => (a2 @ Y2)))) | (~ (!! @ $i @ (^[Y2 : $i]: ((irel @ Y1 @ Y2) => (b1 @ Y2))))))))))) & (((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a0 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => ((!! @ $i @ (^[Y2 : $i]: ((irel @ Y1 @ Y2) => (a1 @ Y2)))) | (~ (!! @ $i @ (^[Y2 : $i]: ((irel @ Y1 @ Y2) => (b0 @ Y2))))))))))) & (((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a3 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => ((!! @ $i @ (^[Y2 : $i]: ((irel @ Y1 @ Y2) => (b0 @ Y2)))) | (~ (!! @ $i @ (^[Y2 : $i]: ((irel @ Y1 @ Y2) => (b3 @ Y2))))))))))) & ((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (f @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a0 @ Y1)))))))))))))))))),
% 46.32/6.21 inference(beta_eta_normalization,[],[f102])).
% 46.32/6.21 thf(f102,plain,(
% 46.32/6.21 (((^[Y0 : $i]: (((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (f @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (((!! @ $i @ (^[Y2 : $i]: ((irel @ Y1 @ Y2) => (f @ Y2)))) | (~ (!! @ $i @ (^[Y2 : $i]: ((irel @ Y1 @ Y2) => (a0 @ Y2)))))) & (((!! @ $i @ (^[Y2 : $i]: ((irel @ Y1 @ Y2) => (a3 @ Y2)))) | (~ (!! @ $i @ (^[Y2 : $i]: ((irel @ Y1 @ Y2) => ((!! @ $i @ (^[Y3 : $i]: ((irel @ Y2 @ Y3) => (b0 @ Y3)))) | (~ (!! @ $i @ (^[Y3 : $i]: ((irel @ Y2 @ Y3) => (b3 @ Y3))))))))))) & (((!! @ $i @ (^[Y2 : $i]: ((irel @ Y1 @ Y2) => (a0 @ Y2)))) | (~ (!! @ $i @ (^[Y2 : $i]: ((irel @ Y1 @ Y2) => ((!! @ $i @ (^[Y3 : $i]: ((irel @ Y2 @ Y3) => (a1 @ Y3)))) | (~ (!! @ $i @ (^[Y3 : $i]: ((irel @ Y2 @ Y3) => (b0 @ Y3))))))))))) & (((!! @ $i @ (^[Y2 : $i]: ((irel @ Y1 @ Y2) => (a1 @ Y2)))) | (~ (!! @ $i @ (^[Y2 : $i]: ((irel @ Y1 @ Y2) => ((!! @ $i @ (^[Y3 : $i]: ((irel @ Y2 @ Y3) => (a2 @ Y3)))) | (~ (!! @ $i @ (^[Y3 : $i]: ((irel @ Y2 @ Y3) => (b1 @ Y3))))))))))) & ((!! @ $i @ (^[Y2 : $i]: ((irel @ Y1 @ Y2) => (a2 @ Y2)))) | (~ (!! @ $i @ (^[Y2 : $i]: ((irel @ Y1 @ Y2) => ((!! @ $i @ (^[Y3 : $i]: ((irel @ Y2 @ Y3) => (a3 @ Y3)))) | (~ (!! @ $i @ (^[Y3 : $i]: ((irel @ Y2 @ Y3) => (b2 @ Y3)))))))))))))))))))) & ((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (f @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (((!! @ $i @ (^[Y2 : $i]: ((irel @ Y1 @ Y2) => (a2 @ Y2)))) | (~ (!! @ $i @ (^[Y2 : $i]: ((irel @ Y1 @ Y2) => ((!! @ $i @ (^[Y3 : $i]: ((irel @ Y2 @ Y3) => (a3 @ Y3)))) | (~ (!! @ $i @ (^[Y3 : $i]: ((irel @ Y2 @ Y3) => (b2 @ Y3))))))))))) & (((!! @ $i @ (^[Y2 : $i]: ((irel @ Y1 @ Y2) => (a1 @ Y2)))) | (~ (!! @ $i @ (^[Y2 : $i]: ((irel @ Y1 @ Y2) => ((!! @ $i @ (^[Y3 : $i]: ((irel @ Y2 @ Y3) => (a2 @ Y3)))) | (~ (!! @ $i @ (^[Y3 : $i]: ((irel @ Y2 @ Y3) => (b1 @ Y3))))))))))) & (((!! @ $i @ (^[Y2 : $i]: ((irel @ Y1 @ Y2) => (a0 @ Y2)))) | (~ (!! @ $i @ (^[Y2 : $i]: ((irel @ Y1 @ Y2) => ((!! @ $i @ (^[Y3 : $i]: ((irel @ Y2 @ Y3) => (a1 @ Y3)))) | (~ (!! @ $i @ (^[Y3 : $i]: ((irel @ Y2 @ Y3) => (b0 @ Y3))))))))))) & (((!! @ $i @ (^[Y2 : $i]: ((irel @ Y1 @ Y2) => (a3 @ Y2)))) | (~ (!! @ $i @ (^[Y2 : $i]: ((irel @ Y1 @ Y2) => ((!! @ $i @ (^[Y3 : $i]: ((irel @ Y2 @ Y3) => (b0 @ Y3)))) | (~ (!! @ $i @ (^[Y3 : $i]: ((irel @ Y2 @ Y3) => (b3 @ Y3))))))))))) & ((!! @ $i @ (^[Y2 : $i]: ((irel @ Y1 @ Y2) => (f @ Y2)))) | (~ (!! @ $i @ (^[Y2 : $i]: ((irel @ Y1 @ Y2) => (a0 @ Y2))))))))))))))))) @ sK1) = $false)),
% 46.32/6.21 inference(sigma_clausification,[],[f101])).
% 46.32/6.21 thf(f101,plain,(
% 46.32/6.21 ((!! @ $i @ (^[Y0 : $i]: (((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (f @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (((!! @ $i @ (^[Y2 : $i]: ((irel @ Y1 @ Y2) => (f @ Y2)))) | (~ (!! @ $i @ (^[Y2 : $i]: ((irel @ Y1 @ Y2) => (a0 @ Y2)))))) & (((!! @ $i @ (^[Y2 : $i]: ((irel @ Y1 @ Y2) => (a3 @ Y2)))) | (~ (!! @ $i @ (^[Y2 : $i]: ((irel @ Y1 @ Y2) => ((!! @ $i @ (^[Y3 : $i]: ((irel @ Y2 @ Y3) => (b0 @ Y3)))) | (~ (!! @ $i @ (^[Y3 : $i]: ((irel @ Y2 @ Y3) => (b3 @ Y3))))))))))) & (((!! @ $i @ (^[Y2 : $i]: ((irel @ Y1 @ Y2) => (a0 @ Y2)))) | (~ (!! @ $i @ (^[Y2 : $i]: ((irel @ Y1 @ Y2) => ((!! @ $i @ (^[Y3 : $i]: ((irel @ Y2 @ Y3) => (a1 @ Y3)))) | (~ (!! @ $i @ (^[Y3 : $i]: ((irel @ Y2 @ Y3) => (b0 @ Y3))))))))))) & (((!! @ $i @ (^[Y2 : $i]: ((irel @ Y1 @ Y2) => (a1 @ Y2)))) | (~ (!! @ $i @ (^[Y2 : $i]: ((irel @ Y1 @ Y2) => ((!! @ $i @ (^[Y3 : $i]: ((irel @ Y2 @ Y3) => (a2 @ Y3)))) | (~ (!! @ $i @ (^[Y3 : $i]: ((irel @ Y2 @ Y3) => (b1 @ Y3))))))))))) & ((!! @ $i @ (^[Y2 : $i]: ((irel @ Y1 @ Y2) => (a2 @ Y2)))) | (~ (!! @ $i @ (^[Y2 : $i]: ((irel @ Y1 @ Y2) => ((!! @ $i @ (^[Y3 : $i]: ((irel @ Y2 @ Y3) => (a3 @ Y3)))) | (~ (!! @ $i @ (^[Y3 : $i]: ((irel @ Y2 @ Y3) => (b2 @ Y3)))))))))))))))))))) & ((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (f @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (((!! @ $i @ (^[Y2 : $i]: ((irel @ Y1 @ Y2) => (a2 @ Y2)))) | (~ (!! @ $i @ (^[Y2 : $i]: ((irel @ Y1 @ Y2) => ((!! @ $i @ (^[Y3 : $i]: ((irel @ Y2 @ Y3) => (a3 @ Y3)))) | (~ (!! @ $i @ (^[Y3 : $i]: ((irel @ Y2 @ Y3) => (b2 @ Y3))))))))))) & (((!! @ $i @ (^[Y2 : $i]: ((irel @ Y1 @ Y2) => (a1 @ Y2)))) | (~ (!! @ $i @ (^[Y2 : $i]: ((irel @ Y1 @ Y2) => ((!! @ $i @ (^[Y3 : $i]: ((irel @ Y2 @ Y3) => (a2 @ Y3)))) | (~ (!! @ $i @ (^[Y3 : $i]: ((irel @ Y2 @ Y3) => (b1 @ Y3))))))))))) & (((!! @ $i @ (^[Y2 : $i]: ((irel @ Y1 @ Y2) => (a0 @ Y2)))) | (~ (!! @ $i @ (^[Y2 : $i]: ((irel @ Y1 @ Y2) => ((!! @ $i @ (^[Y3 : $i]: ((irel @ Y2 @ Y3) => (a1 @ Y3)))) | (~ (!! @ $i @ (^[Y3 : $i]: ((irel @ Y2 @ Y3) => (b0 @ Y3))))))))))) & (((!! @ $i @ (^[Y2 : $i]: ((irel @ Y1 @ Y2) => (a3 @ Y2)))) | (~ (!! @ $i @ (^[Y2 : $i]: ((irel @ Y1 @ Y2) => ((!! @ $i @ (^[Y3 : $i]: ((irel @ Y2 @ Y3) => (b0 @ Y3)))) | (~ (!! @ $i @ (^[Y3 : $i]: ((irel @ Y2 @ Y3) => (b3 @ Y3))))))))))) & ((!! @ $i @ (^[Y2 : $i]: ((irel @ Y1 @ Y2) => (f @ Y2)))) | (~ (!! @ $i @ (^[Y2 : $i]: ((irel @ Y1 @ Y2) => (a0 @ Y2)))))))))))))))))) = $false)),
% 46.32/6.21 inference(not_proxy_clausification,[],[f100])).
% 46.32/6.21 thf(f100,plain,(
% 46.32/6.21 ($true = (~ (!! @ $i @ (^[Y0 : $i]: (((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (f @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (((!! @ $i @ (^[Y2 : $i]: ((irel @ Y1 @ Y2) => (f @ Y2)))) | (~ (!! @ $i @ (^[Y2 : $i]: ((irel @ Y1 @ Y2) => (a0 @ Y2)))))) & (((!! @ $i @ (^[Y2 : $i]: ((irel @ Y1 @ Y2) => (a3 @ Y2)))) | (~ (!! @ $i @ (^[Y2 : $i]: ((irel @ Y1 @ Y2) => ((!! @ $i @ (^[Y3 : $i]: ((irel @ Y2 @ Y3) => (b0 @ Y3)))) | (~ (!! @ $i @ (^[Y3 : $i]: ((irel @ Y2 @ Y3) => (b3 @ Y3))))))))))) & (((!! @ $i @ (^[Y2 : $i]: ((irel @ Y1 @ Y2) => (a0 @ Y2)))) | (~ (!! @ $i @ (^[Y2 : $i]: ((irel @ Y1 @ Y2) => ((!! @ $i @ (^[Y3 : $i]: ((irel @ Y2 @ Y3) => (a1 @ Y3)))) | (~ (!! @ $i @ (^[Y3 : $i]: ((irel @ Y2 @ Y3) => (b0 @ Y3))))))))))) & (((!! @ $i @ (^[Y2 : $i]: ((irel @ Y1 @ Y2) => (a1 @ Y2)))) | (~ (!! @ $i @ (^[Y2 : $i]: ((irel @ Y1 @ Y2) => ((!! @ $i @ (^[Y3 : $i]: ((irel @ Y2 @ Y3) => (a2 @ Y3)))) | (~ (!! @ $i @ (^[Y3 : $i]: ((irel @ Y2 @ Y3) => (b1 @ Y3))))))))))) & ((!! @ $i @ (^[Y2 : $i]: ((irel @ Y1 @ Y2) => (a2 @ Y2)))) | (~ (!! @ $i @ (^[Y2 : $i]: ((irel @ Y1 @ Y2) => ((!! @ $i @ (^[Y3 : $i]: ((irel @ Y2 @ Y3) => (a3 @ Y3)))) | (~ (!! @ $i @ (^[Y3 : $i]: ((irel @ Y2 @ Y3) => (b2 @ Y3)))))))))))))))))))) & ((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (f @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (((!! @ $i @ (^[Y2 : $i]: ((irel @ Y1 @ Y2) => (a2 @ Y2)))) | (~ (!! @ $i @ (^[Y2 : $i]: ((irel @ Y1 @ Y2) => ((!! @ $i @ (^[Y3 : $i]: ((irel @ Y2 @ Y3) => (a3 @ Y3)))) | (~ (!! @ $i @ (^[Y3 : $i]: ((irel @ Y2 @ Y3) => (b2 @ Y3))))))))))) & (((!! @ $i @ (^[Y2 : $i]: ((irel @ Y1 @ Y2) => (a1 @ Y2)))) | (~ (!! @ $i @ (^[Y2 : $i]: ((irel @ Y1 @ Y2) => ((!! @ $i @ (^[Y3 : $i]: ((irel @ Y2 @ Y3) => (a2 @ Y3)))) | (~ (!! @ $i @ (^[Y3 : $i]: ((irel @ Y2 @ Y3) => (b1 @ Y3))))))))))) & (((!! @ $i @ (^[Y2 : $i]: ((irel @ Y1 @ Y2) => (a0 @ Y2)))) | (~ (!! @ $i @ (^[Y2 : $i]: ((irel @ Y1 @ Y2) => ((!! @ $i @ (^[Y3 : $i]: ((irel @ Y2 @ Y3) => (a1 @ Y3)))) | (~ (!! @ $i @ (^[Y3 : $i]: ((irel @ Y2 @ Y3) => (b0 @ Y3))))))))))) & (((!! @ $i @ (^[Y2 : $i]: ((irel @ Y1 @ Y2) => (a3 @ Y2)))) | (~ (!! @ $i @ (^[Y2 : $i]: ((irel @ Y1 @ Y2) => ((!! @ $i @ (^[Y3 : $i]: ((irel @ Y2 @ Y3) => (b0 @ Y3)))) | (~ (!! @ $i @ (^[Y3 : $i]: ((irel @ Y2 @ Y3) => (b3 @ Y3))))))))))) & ((!! @ $i @ (^[Y2 : $i]: ((irel @ Y1 @ Y2) => (f @ Y2)))) | (~ (!! @ $i @ (^[Y2 : $i]: ((irel @ Y1 @ Y2) => (a0 @ Y2))))))))))))))))))))),
% 46.32/6.21 inference(beta_eta_normalization,[],[f99])).
% 46.32/6.21 thf(f99,plain,(
% 46.32/6.21 ($true = (~ ((^[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]: ((Y5 @ Y6) | (Y4 @ 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]: ((Y5 @ Y6) | (Y4 @ 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]: ((Y5 @ Y6) | (Y4 @ 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]: ((Y5 @ Y6) | (Y4 @ Y6))))))) @ ((^[Y4 : $i > $o]: ((^[Y5 : $i]: (~ (Y4 @ Y5))))) @ Y2) @ Y3)))) @ ((^[Y2 : $i > $o]: ((^[Y3 : $i]: (!! 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@ $i @ (^[Y4 : $i]: ((irel @ Y3 @ Y4) => (Y2 @ Y4))))))) @ Y1))))) @ ((^[Y0 : $i > $o]: (Y0)) @ a0) @ ((^[Y0 : $i > $o]: (Y0)) @ f)))))) @ ((^[Y0 : $i > $o]: (Y0)) @ f))))))),
% 46.32/6.21 inference(definition_unfolding,[],[f89,f77,f93,f95,f93,f95,f80,f80,f93,f95,f95,f80,f80,f80,f93,f95,f95,f80,f80,f80,f93,f95,f95,f80,f80,f80,f95,f95,f80,f80,f80,f80,f95,f93,f95,f95,f80,f80,f80,f93,f95,f95,f80,f80,f80,f93,f95,f95,f80,f80,f80,f93,f95,f95,f80,f80,f80,f95,f80,f80,f80])).
% 46.32/6.21 thf(f80,plain,(
% 46.32/6.21 (iatom = (^[Y0 : $i > $o]: (Y0)))),
% 46.32/6.21 inference(cnf_transformation,[],[f40])).
% 46.32/6.21 thf(f40,plain,(
% 46.32/6.21 (iatom = (^[Y0 : $i > $o]: (Y0)))),
% 46.32/6.21 inference(fool_elimination,[],[f39])).
% 46.32/6.21 thf(f39,plain,(
% 46.32/6.21 (iatom = (^[X0 : $i > $o] : (X0)))),
% 46.32/6.21 inference(rectify,[],[f8])).
% 46.32/6.21 thf(f8,axiom,(
% 46.32/6.21 (iatom = (^[X5 : $i > $o] : (X5)))),
% 46.32/6.21 file('/export/starexec/sandbox/benchmark/theBenchmark.p',iatom)).
% 46.32/6.21 thf(f95,plain,(
% 46.32/6.21 (iimplies = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i > $o]: ((^[Y3 : $i > $o]: ((^[Y4 : $i > $o]: ((^[Y5 : $i > $o]: ((^[Y6 : $i]: ((Y5 @ Y6) | (Y4 @ 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))))))),
% 46.32/6.21 inference(definition_unfolding,[],[f82,f90,f83,f83])).
% 46.32/6.21 thf(f83,plain,(
% 46.32/6.21 (mbox_s4 = (^[Y0 : $i > $o]: ((^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((irel @ Y1 @ Y2) => (Y0 @ Y2))))))))),
% 46.32/6.21 inference(cnf_transformation,[],[f60])).
% 46.32/6.21 thf(f60,plain,(
% 46.32/6.21 (mbox_s4 = (^[Y0 : $i > $o]: ((^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((irel @ Y1 @ Y2) => (Y0 @ Y2))))))))),
% 46.32/6.21 inference(fool_elimination,[],[f59])).
% 46.32/6.21 thf(f59,plain,(
% 46.32/6.21 (mbox_s4 = (^[X0 : $i > $o, X1 : $i] : (! [X2] : ((irel @ X1 @ X2) => (X0 @ X2)))))),
% 46.32/6.21 inference(rectify,[],[f7])).
% 46.32/6.21 thf(f7,axiom,(
% 46.32/6.21 (mbox_s4 = (^[X5 : $i > $o, X0 : $i] : (! [X1] : ((irel @ X0 @ X1) => (X5 @ X1)))))),
% 46.32/6.21 file('/export/starexec/sandbox/benchmark/theBenchmark.p',mbox_s4)).
% 46.32/6.21 thf(f90,plain,(
% 46.32/6.21 (mimplies = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i > $o]: ((^[Y3 : $i > $o]: ((^[Y4 : $i]: ((Y3 @ Y4) | (Y2 @ Y4))))))) @ ((^[Y2 : $i > $o]: ((^[Y3 : $i]: (~ (Y2 @ Y3))))) @ Y0) @ Y1)))))),
% 46.32/6.21 inference(definition_unfolding,[],[f72,f74,f71])).
% 46.32/6.21 thf(f71,plain,(
% 46.32/6.21 (mnot = (^[Y0 : $i > $o]: ((^[Y1 : $i]: (~ (Y0 @ Y1))))))),
% 46.32/6.21 inference(cnf_transformation,[],[f50])).
% 46.32/6.21 thf(f50,plain,(
% 46.32/6.21 (mnot = (^[Y0 : $i > $o]: ((^[Y1 : $i]: (~ (Y0 @ Y1))))))),
% 46.32/6.21 inference(fool_elimination,[],[f49])).
% 46.32/6.21 thf(f49,plain,(
% 46.32/6.21 (mnot = (^[X0 : $i > $o, X1 : $i] : (~(X0 @ X1))))),
% 46.32/6.21 inference(rectify,[],[f3])).
% 46.32/6.21 thf(f3,axiom,(
% 46.32/6.21 (mnot = (^[X0 : $i > $o, X3 : $i] : (~(X0 @ X3))))),
% 46.32/6.21 file('/export/starexec/sandbox/benchmark/theBenchmark.p',mnot)).
% 46.32/6.21 thf(f74,plain,(
% 46.32/6.21 (mor = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: ((Y1 @ Y2) | (Y0 @ Y2))))))))),
% 46.32/6.21 inference(cnf_transformation,[],[f38])).
% 46.32/6.21 thf(f38,plain,(
% 46.32/6.21 (mor = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: ((Y1 @ Y2) | (Y0 @ Y2))))))))),
% 46.32/6.21 inference(fool_elimination,[],[f37])).
% 46.32/6.21 thf(f37,plain,(
% 46.32/6.21 ((^[X0 : $i > $o, X1 : $i > $o, X2 : $i] : ((X0 @ X2) | (X1 @ X2))) = mor)),
% 46.32/6.21 inference(rectify,[],[f4])).
% 46.32/6.21 thf(f4,axiom,(
% 46.32/6.21 ((^[X0 : $i > $o, X1 : $i > $o, X3 : $i] : ((X0 @ X3) | (X1 @ X3))) = mor)),
% 46.32/6.21 file('/export/starexec/sandbox/benchmark/theBenchmark.p',mor)).
% 46.32/6.21 thf(f72,plain,(
% 46.32/6.21 (mimplies = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (mor @ (mnot @ Y0) @ Y1)))))),
% 46.32/6.21 inference(cnf_transformation,[],[f36])).
% 46.32/6.21 thf(f36,plain,(
% 46.32/6.21 (mimplies = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (mor @ (mnot @ Y0) @ Y1)))))),
% 46.32/6.21 inference(fool_elimination,[],[f35])).
% 46.32/6.21 thf(f35,plain,(
% 46.32/6.21 ((^[X0 : $i > $o, X1 : $i > $o] : (mor @ (mnot @ X0) @ X1)) = mimplies)),
% 46.32/6.21 inference(rectify,[],[f6])).
% 46.32/6.21 thf(f6,axiom,(
% 46.32/6.21 ((^[X3 : $i > $o, X4 : $i > $o] : (mor @ (mnot @ X3) @ X4)) = mimplies)),
% 46.32/6.21 file('/export/starexec/sandbox/benchmark/theBenchmark.p',mimplies)).
% 46.32/6.21 thf(f82,plain,(
% 46.32/6.21 (iimplies = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (mimplies @ (mbox_s4 @ Y0) @ (mbox_s4 @ Y1))))))),
% 46.32/6.21 inference(cnf_transformation,[],[f30])).
% 46.32/6.21 thf(f30,plain,(
% 46.32/6.21 (iimplies = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (mimplies @ (mbox_s4 @ Y0) @ (mbox_s4 @ Y1))))))),
% 46.32/6.21 inference(fool_elimination,[],[f29])).
% 46.32/6.21 thf(f29,plain,(
% 46.32/6.21 (iimplies = (^[X0 : $i > $o, X1 : $i > $o] : (mimplies @ (mbox_s4 @ X0) @ (mbox_s4 @ X1))))),
% 46.32/6.21 inference(rectify,[],[f14])).
% 46.32/6.21 thf(f14,axiom,(
% 46.32/6.21 (iimplies = (^[X5 : $i > $o, X7 : $i > $o] : (mimplies @ (mbox_s4 @ X5) @ (mbox_s4 @ X7))))),
% 46.32/6.21 file('/export/starexec/sandbox/benchmark/theBenchmark.p',iimplies)).
% 46.32/6.21 thf(f93,plain,(
% 46.32/6.21 (iand = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i > $o]: ((^[Y3 : $i > $o]: ((^[Y4 : $i]: ((Y2 @ Y4) & (Y3 @ Y4))))))) @ Y0 @ Y1)))))),
% 46.32/6.21 inference(definition_unfolding,[],[f87,f88])).
% 46.32/6.21 thf(f88,plain,(
% 46.32/6.21 (mand = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: ((Y0 @ Y2) & (Y1 @ Y2))))))))),
% 46.32/6.21 inference(cnf_transformation,[],[f56])).
% 46.32/6.21 thf(f56,plain,(
% 46.32/6.21 (mand = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: ((Y0 @ Y2) & (Y1 @ Y2))))))))),
% 46.32/6.21 inference(fool_elimination,[],[f55])).
% 46.32/6.21 thf(f55,plain,(
% 46.32/6.21 (mand = (^[X0 : $i > $o, X1 : $i > $o, X2 : $i] : ((X1 @ X2) & (X0 @ X2))))),
% 46.32/6.21 inference(rectify,[],[f5])).
% 46.32/6.21 thf(f5,axiom,(
% 46.32/6.21 (mand = (^[X0 : $i > $o, X1 : $i > $o, X3 : $i] : ((X1 @ X3) & (X0 @ X3))))),
% 46.32/6.21 file('/export/starexec/sandbox/benchmark/theBenchmark.p',mand)).
% 46.32/6.21 thf(f87,plain,(
% 46.32/6.21 (iand = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (mand @ Y0 @ Y1)))))),
% 46.32/6.21 inference(cnf_transformation,[],[f48])).
% 46.32/6.21 thf(f48,plain,(
% 46.32/6.21 (iand = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (mand @ Y0 @ Y1)))))),
% 46.32/6.21 inference(fool_elimination,[],[f47])).
% 46.32/6.21 thf(f47,plain,(
% 46.32/6.21 (iand = (^[X0 : $i > $o, X1 : $i > $o] : (mand @ X0 @ X1)))),
% 46.32/6.21 inference(rectify,[],[f12])).
% 46.32/6.21 thf(f12,axiom,(
% 46.32/6.21 (iand = (^[X5 : $i > $o, X7 : $i > $o] : (mand @ X5 @ X7)))),
% 46.32/6.21 file('/export/starexec/sandbox/benchmark/theBenchmark.p',iand)).
% 46.32/6.21 thf(f77,plain,(
% 46.32/6.21 (ivalid = (^[Y0 : $i > $o]: (!! @ $i @ (^[Y1 : $i]: (Y0 @ Y1)))))),
% 46.32/6.21 inference(cnf_transformation,[],[f28])).
% 46.32/6.21 thf(f28,plain,(
% 46.32/6.21 (ivalid = (^[Y0 : $i > $o]: (!! @ $i @ (^[Y1 : $i]: (Y0 @ Y1)))))),
% 46.32/6.21 inference(fool_elimination,[],[f27])).
% 46.32/6.21 thf(f27,plain,(
% 46.32/6.21 (ivalid = (^[X0 : $i > $o] : (! [X1] : (X0 @ X1))))),
% 46.32/6.21 inference(rectify,[],[f18])).
% 46.32/6.21 thf(f18,axiom,(
% 46.32/6.21 (ivalid = (^[X8 : $i > $o] : (! [X6] : (X8 @ X6))))),
% 46.32/6.21 file('/export/starexec/sandbox/benchmark/theBenchmark.p',ivalid)).
% 46.32/6.21 thf(f89,plain,(
% 46.32/6.21 ($true = (~ (ivalid @ (iand @ (iimplies @ (iand @ (iimplies @ (iatom @ a0) @ (iatom @ f)) @ (iand @ (iimplies @ (iimplies @ (iatom @ b3) @ (iatom @ b0)) @ (iatom @ a3)) @ (iand @ (iimplies @ (iimplies @ (iatom @ b0) @ (iatom @ a1)) @ (iatom @ a0)) @ (iand @ (iimplies @ (iimplies @ (iatom @ b1) @ (iatom @ a2)) @ (iatom @ a1)) @ (iimplies @ (iimplies @ (iatom @ b2) @ (iatom @ a3)) @ (iatom @ a2)))))) @ (iatom @ f)) @ (iimplies @ (iand @ (iimplies @ (iimplies @ (iatom @ b2) @ (iatom @ a3)) @ (iatom @ a2)) @ (iand @ (iimplies @ (iimplies @ (iatom @ b1) @ (iatom @ a2)) @ (iatom @ a1)) @ (iand @ (iimplies @ (iimplies @ (iatom @ b0) @ (iatom @ a1)) @ (iatom @ a0)) @ (iand @ (iimplies @ (iimplies @ (iatom @ b3) @ (iatom @ b0)) @ (iatom @ a3)) @ (iimplies @ (iatom @ a0) @ (iatom @ f)))))) @ (iatom @ f))))))),
% 46.32/6.21 inference(cnf_transformation,[],[f62])).
% 46.32/6.21 thf(f62,plain,(
% 46.32/6.21 ($true = (~ (ivalid @ (iand @ (iimplies @ (iand @ (iimplies @ (iatom @ a0) @ (iatom @ f)) @ (iand @ (iimplies @ (iimplies @ (iatom @ b3) @ (iatom @ b0)) @ (iatom @ a3)) @ (iand @ (iimplies @ (iimplies @ (iatom @ b0) @ (iatom @ a1)) @ (iatom @ a0)) @ (iand @ (iimplies @ (iimplies @ (iatom @ b1) @ (iatom @ a2)) @ (iatom @ a1)) @ (iimplies @ (iimplies @ (iatom @ b2) @ (iatom @ a3)) @ (iatom @ a2)))))) @ (iatom @ f)) @ (iimplies @ (iand @ (iimplies @ (iimplies @ (iatom @ b2) @ (iatom @ a3)) @ (iatom @ a2)) @ (iand @ (iimplies @ (iimplies @ (iatom @ b1) @ (iatom @ a2)) @ (iatom @ a1)) @ (iand @ (iimplies @ (iimplies @ (iatom @ b0) @ (iatom @ a1)) @ (iatom @ a0)) @ (iand @ (iimplies @ (iimplies @ (iatom @ b3) @ (iatom @ b0)) @ (iatom @ a3)) @ (iimplies @ (iatom @ a0) @ (iatom @ f)))))) @ (iatom @ f))))))),
% 46.32/6.21 inference(fool_elimination,[],[f61])).
% 46.32/6.21 thf(f61,plain,(
% 46.32/6.21 ~(ivalid @ (iand @ (iimplies @ (iand @ (iimplies @ (iatom @ a0) @ (iatom @ f)) @ (iand @ (iimplies @ (iimplies @ (iatom @ b3) @ (iatom @ b0)) @ (iatom @ a3)) @ (iand @ (iimplies @ (iimplies @ (iatom @ b0) @ (iatom @ a1)) @ (iatom @ a0)) @ (iand @ (iimplies @ (iimplies @ (iatom @ b1) @ (iatom @ a2)) @ (iatom @ a1)) @ (iimplies @ (iimplies @ (iatom @ b2) @ (iatom @ a3)) @ (iatom @ a2)))))) @ (iatom @ f)) @ (iimplies @ (iand @ (iimplies @ (iimplies @ (iatom @ b2) @ (iatom @ a3)) @ (iatom @ a2)) @ (iand @ (iimplies @ (iimplies @ (iatom @ b1) @ (iatom @ a2)) @ (iatom @ a1)) @ (iand @ (iimplies @ (iimplies @ (iatom @ b0) @ (iatom @ a1)) @ (iatom @ a0)) @ (iand @ (iimplies @ (iimplies @ (iatom @ b3) @ (iatom @ b0)) @ (iatom @ a3)) @ (iimplies @ (iatom @ a0) @ (iatom @ f)))))) @ (iatom @ f))))),
% 46.32/6.21 inference(rectify,[],[f23])).
% 46.32/6.21 thf(f23,negated_conjecture,(
% 46.32/6.21 ~(ivalid @ (iand @ (iimplies @ (iand @ (iimplies @ (iatom @ a0) @ (iatom @ f)) @ (iand @ (iimplies @ (iimplies @ (iatom @ b3) @ (iatom @ b0)) @ (iatom @ a3)) @ (iand @ (iimplies @ (iimplies @ (iatom @ b0) @ (iatom @ a1)) @ (iatom @ a0)) @ (iand @ (iimplies @ (iimplies @ (iatom @ b1) @ (iatom @ a2)) @ (iatom @ a1)) @ (iimplies @ (iimplies @ (iatom @ b2) @ (iatom @ a3)) @ (iatom @ a2)))))) @ (iatom @ f)) @ (iimplies @ (iand @ (iimplies @ (iimplies @ (iatom @ b2) @ (iatom @ a3)) @ (iatom @ a2)) @ (iand @ (iimplies @ (iimplies @ (iatom @ b1) @ (iatom @ a2)) @ (iatom @ a1)) @ (iand @ (iimplies @ (iimplies @ (iatom @ b0) @ (iatom @ a1)) @ (iatom @ a0)) @ (iand @ (iimplies @ (iimplies @ (iatom @ b3) @ (iatom @ b0)) @ (iatom @ a3)) @ (iimplies @ (iatom @ a0) @ (iatom @ f)))))) @ (iatom @ f))))),
% 46.32/6.21 inference(negated_conjecture,[],[f22])).
% 46.32/6.21 thf(f22,conjecture,(
% 46.32/6.21 (ivalid @ (iand @ (iimplies @ (iand @ (iimplies @ (iatom @ a0) @ (iatom @ f)) @ (iand @ (iimplies @ (iimplies @ (iatom @ b3) @ (iatom @ b0)) @ (iatom @ a3)) @ (iand @ (iimplies @ (iimplies @ (iatom @ b0) @ (iatom @ a1)) @ (iatom @ a0)) @ (iand @ (iimplies @ (iimplies @ (iatom @ b1) @ (iatom @ a2)) @ (iatom @ a1)) @ (iimplies @ (iimplies @ (iatom @ b2) @ (iatom @ a3)) @ (iatom @ a2)))))) @ (iatom @ f)) @ (iimplies @ (iand @ (iimplies @ (iimplies @ (iatom @ b2) @ (iatom @ a3)) @ (iatom @ a2)) @ (iand @ (iimplies @ (iimplies @ (iatom @ b1) @ (iatom @ a2)) @ (iatom @ a1)) @ (iand @ (iimplies @ (iimplies @ (iatom @ b0) @ (iatom @ a1)) @ (iatom @ a0)) @ (iand @ (iimplies @ (iimplies @ (iatom @ b3) @ (iatom @ b0)) @ (iatom @ a3)) @ (iimplies @ (iatom @ a0) @ (iatom @ f)))))) @ (iatom @ f))))),
% 46.32/6.21 file('/export/starexec/sandbox/benchmark/theBenchmark.p',con)).
% 46.32/6.21 thf(f2930,plain,(
% 46.32/6.21 ($true = (f @ sK2)) | ~spl0_24),
% 46.32/6.21 inference(trivial_inequality_removal,[],[f2922])).
% 46.32/6.21 thf(f2922,plain,(
% 46.32/6.21 ($true = (f @ sK2)) | ($true = $false) | ~spl0_24),
% 46.32/6.21 inference(superposition,[],[f2634,f421])).
% 46.32/6.21 thf(f421,plain,(
% 46.32/6.21 ($true = (irel @ sK1 @ sK2))),
% 46.32/6.21 inference(binary_proxy_clausification,[],[f419])).
% 46.32/6.21 thf(f2634,plain,(
% 46.32/6.21 ( ! [X0 : $i] : (((irel @ sK1 @ X0) = $false) | ($true = (f @ X0))) ) | ~spl0_24),
% 46.32/6.21 inference(avatar_component_clause,[],[f2633])).
% 46.32/6.21 thf(f2633,plain,(
% 46.32/6.21 spl0_24 <=> ! [X0] : (((irel @ sK1 @ X0) = $false) | ($true = (f @ X0)))),
% 46.32/6.21 introduced(avatar_definition,[new_symbols(naming,[spl0_24])])).
% 46.32/6.21 thf(f2891,plain,(
% 46.32/6.21 spl0_24 | spl0_47 | ~spl0_1 | spl0_26),
% 46.32/6.21 inference(avatar_split_clause,[],[f2878,f2641,f130,f2884,f2633])).
% 46.32/6.21 thf(f130,plain,(
% 46.32/6.21 spl0_1 <=> ! [X2,X1] : (($true = (f @ X2)) | ($false = (irel @ sK1 @ X1)) | ($true = (irel @ X1 @ (sK3 @ X1))) | ((irel @ X1 @ X2) = $false))),
% 46.32/6.21 introduced(avatar_definition,[new_symbols(naming,[spl0_1])])).
% 46.32/6.21 thf(f2641,plain,(
% 46.32/6.21 spl0_26 <=> ((irel @ sK1 @ sK1) = $false)),
% 46.32/6.21 introduced(avatar_definition,[new_symbols(naming,[spl0_26])])).
% 46.32/6.21 thf(f2878,plain,(
% 46.32/6.21 ( ! [X0 : $i] : (((irel @ sK1 @ X0) = $false) | ($true = (irel @ sK1 @ (sK3 @ sK1))) | ($true = (f @ X0))) ) | (~spl0_1 | spl0_26)),
% 46.32/6.21 inference(trivial_inequality_removal,[],[f2872])).
% 46.32/6.21 thf(f2872,plain,(
% 46.32/6.21 ( ! [X0 : $i] : (((irel @ sK1 @ X0) = $false) | ($false != $false) | ($true = (f @ X0)) | ($true = (irel @ sK1 @ (sK3 @ sK1)))) ) | (~spl0_1 | spl0_26)),
% 46.32/6.21 inference(superposition,[],[f2642,f131])).
% 46.32/6.21 thf(f131,plain,(
% 46.32/6.21 ( ! [X2 : $i,X1 : $i] : (($false = (irel @ sK1 @ X1)) | ((irel @ X1 @ X2) = $false) | ($true = (f @ X2)) | ($true = (irel @ X1 @ (sK3 @ X1)))) ) | ~spl0_1),
% 46.32/6.21 inference(avatar_component_clause,[],[f130])).
% 46.32/6.21 thf(f2642,plain,(
% 46.32/6.21 ((irel @ sK1 @ sK1) != $false) | spl0_26),
% 46.32/6.21 inference(avatar_component_clause,[],[f2641])).
% 46.32/6.21 thf(f2767,plain,(
% 46.32/6.21 ~spl0_26),
% 46.32/6.21 inference(avatar_contradiction_clause,[],[f2766])).
% 46.32/6.21 thf(f2766,plain,(
% 46.32/6.21 $false | ~spl0_26),
% 46.32/6.21 inference(trivial_inequality_removal,[],[f2760])).
% 46.32/6.21 thf(f2760,plain,(
% 46.32/6.21 ($true = $false) | ~spl0_26),
% 46.32/6.21 inference(superposition,[],[f2603,f2643])).
% 46.32/6.21 thf(f2643,plain,(
% 46.32/6.21 ((irel @ sK1 @ sK1) = $false) | ~spl0_26),
% 46.32/6.21 inference(avatar_component_clause,[],[f2641])).
% 46.32/6.21 thf(f2720,plain,(
% 46.32/6.21 spl0_36 | spl0_34 | ~spl0_14),
% 46.32/6.21 inference(avatar_split_clause,[],[f2692,f251,f2707,f2717])).
% 46.32/6.21 thf(f251,plain,(
% 46.32/6.21 spl0_14 <=> ! [X2,X1] : (($false = (irel @ sK1 @ X1)) | ($true = (a0 @ X2)) | ((a1 @ (sK9 @ X1)) = $false) | ((irel @ X1 @ X2) = $false))),
% 46.32/6.21 introduced(avatar_definition,[new_symbols(naming,[spl0_14])])).
% 46.32/6.21 thf(f2692,plain,(
% 46.32/6.21 ( ! [X0 : $i] : (((a1 @ (sK9 @ sK1)) = $false) | ((irel @ sK1 @ X0) = $false) | ($true = (a0 @ X0))) ) | ~spl0_14),
% 46.32/6.21 inference(trivial_inequality_removal,[],[f2684])).
% 46.32/6.21 thf(f2684,plain,(
% 46.32/6.21 ( ! [X0 : $i] : (((a1 @ (sK9 @ sK1)) = $false) | ($true = $false) | ($true = (a0 @ X0)) | ((irel @ sK1 @ X0) = $false)) ) | ~spl0_14),
% 46.32/6.21 inference(superposition,[],[f252,f2603])).
% 46.32/6.21 thf(f252,plain,(
% 46.32/6.21 ( ! [X2 : $i,X1 : $i] : (($false = (irel @ sK1 @ X1)) | ((a1 @ (sK9 @ X1)) = $false) | ((irel @ X1 @ X2) = $false) | ($true = (a0 @ X2))) ) | ~spl0_14),
% 46.32/6.21 inference(avatar_component_clause,[],[f251])).
% 46.32/6.21 thf(f2645,plain,(
% 46.32/6.21 spl0_23 | spl0_24 | ~spl0_3),
% 46.32/6.21 inference(avatar_split_clause,[],[f2614,f138,f2633,f2629])).
% 46.32/6.21 thf(f138,plain,(
% 46.32/6.21 spl0_3 <=> ! [X2,X1] : (((a0 @ (sK3 @ X1)) = $false) | ($false = (irel @ sK1 @ X1)) | ($true = (f @ X2)) | ((irel @ X1 @ X2) = $false))),
% 46.32/6.21 introduced(avatar_definition,[new_symbols(naming,[spl0_3])])).
% 46.32/6.21 thf(f2614,plain,(
% 46.32/6.21 ( ! [X0 : $i] : (((irel @ sK1 @ X0) = $false) | ($false = (a0 @ (sK3 @ sK1))) | ($true = (f @ X0))) ) | ~spl0_3),
% 46.32/6.21 inference(trivial_inequality_removal,[],[f2606])).
% 46.32/6.21 thf(f2606,plain,(
% 46.32/6.21 ( ! [X0 : $i] : (($true = (f @ X0)) | ($true = $false) | ($false = (a0 @ (sK3 @ sK1))) | ((irel @ sK1 @ X0) = $false)) ) | ~spl0_3),
% 46.32/6.21 inference(superposition,[],[f139,f2603])).
% 46.32/6.21 thf(f139,plain,(
% 46.32/6.21 ( ! [X2 : $i,X1 : $i] : (($false = (irel @ sK1 @ X1)) | ((irel @ X1 @ X2) = $false) | ((a0 @ (sK3 @ X1)) = $false) | ($true = (f @ X2))) ) | ~spl0_3),
% 46.32/6.21 inference(avatar_component_clause,[],[f138])).
% 46.32/6.21 thf(f2480,plain,(
% 46.32/6.21 spl0_4 | spl0_4),
% 46.32/6.21 inference(avatar_split_clause,[],[f2479,f157,f157])).
% 46.32/6.21 thf(f2479,plain,(
% 46.32/6.21 ( ! [X2 : $i,X3 : $i,X1 : $i,X4 : $i] : (($false = (irel @ X2 @ X4)) | ($true = (a2 @ X3)) | ($false = (irel @ X1 @ X3)) | ($true = (irel @ X2 @ (sK4 @ X2))) | ((irel @ sK1 @ X2) = $false) | ($false = (irel @ sK1 @ X1)) | ($true = (a2 @ X4)) | ($true = (irel @ X1 @ (sK4 @ X1)))) )),
% 46.32/6.21 inference(binary_proxy_clausification,[],[f2478])).
% 46.32/6.21 thf(f2478,plain,(
% 46.32/6.21 ( ! [X2 : $i,X3 : $i,X1 : $i,X4 : $i] : (($true = (irel @ X1 @ (sK4 @ X1))) | ($false = (irel @ X1 @ X3)) | ($true = ((irel @ X2 @ X4) => (a2 @ X4))) | ($false = (irel @ sK1 @ X1)) | ($true = (irel @ X2 @ (sK4 @ X2))) | ((irel @ sK1 @ X2) = $false) | ($true = (a2 @ X3))) )),
% 46.32/6.21 inference(binary_proxy_clausification,[],[f2476])).
% 46.32/6.21 thf(f2476,plain,(
% 46.32/6.21 ( ! [X2 : $i,X3 : $i,X1 : $i,X4 : $i] : (($true = (a2 @ X3)) | ($false = (irel @ X1 @ X3)) | (((irel @ X2 @ (sK4 @ X2)) => ((!! @ $i @ (^[Y0 : $i]: ((irel @ (sK4 @ X2) @ Y0) => (a3 @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ (sK4 @ X2) @ Y0) => (b2 @ Y0))))))) = $false) | ($true = (irel @ X1 @ (sK4 @ X1))) | ($false = (irel @ sK1 @ X1)) | ($true = ((irel @ X2 @ X4) => (a2 @ X4))) | ((irel @ sK1 @ X2) = $false)) )),
% 46.32/6.21 inference(beta_eta_normalization,[],[f2475])).
% 46.32/6.21 thf(f2475,plain,(
% 46.32/6.21 ( ! [X2 : $i,X3 : $i,X1 : $i,X4 : $i] : (($false = (irel @ sK1 @ X1)) | ($false = (irel @ X1 @ X3)) | (((irel @ X2 @ (sK4 @ X2)) => ((!! @ $i @ (^[Y0 : $i]: ((irel @ (sK4 @ X2) @ Y0) => (a3 @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ (sK4 @ X2) @ Y0) => (b2 @ Y0))))))) = $false) | ($true = ((^[Y0 : $i]: ((irel @ X2 @ Y0) => (a2 @ Y0))) @ X4)) | ($true = (irel @ X1 @ (sK4 @ X1))) | ((irel @ sK1 @ X2) = $false) | ($true = (a2 @ X3))) )),
% 46.32/6.21 inference(pi_clausification,[],[f2474])).
% 46.32/6.21 thf(f2474,plain,(
% 46.32/6.21 ( ! [X2 : $i,X3 : $i,X1 : $i] : (($false = (irel @ sK1 @ X1)) | ($true = (a2 @ X3)) | ((irel @ sK1 @ X2) = $false) | ($true = (!! @ $i @ (^[Y0 : $i]: ((irel @ X2 @ Y0) => (a2 @ Y0))))) | (((irel @ X2 @ (sK4 @ X2)) => ((!! @ $i @ (^[Y0 : $i]: ((irel @ (sK4 @ X2) @ Y0) => (a3 @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ (sK4 @ X2) @ Y0) => (b2 @ Y0))))))) = $false) | ($true = (irel @ X1 @ (sK4 @ X1))) | ($false = (irel @ X1 @ X3))) )),
% 46.32/6.21 inference(beta_eta_normalization,[],[f2473])).
% 46.32/6.21 thf(f2473,plain,(
% 46.32/6.21 ( ! [X2 : $i,X3 : $i,X1 : $i] : (($true = (a2 @ X3)) | ($false = (irel @ X1 @ X3)) | ($false = ((^[Y0 : $i]: ((irel @ X2 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a3 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b2 @ Y1)))))))) @ (sK4 @ X2))) | ((irel @ sK1 @ X2) = $false) | ($false = (irel @ sK1 @ X1)) | ($true = (irel @ X1 @ (sK4 @ X1))) | ($true = (!! @ $i @ (^[Y0 : $i]: ((irel @ X2 @ Y0) => (a2 @ Y0)))))) )),
% 46.32/6.21 inference(sigma_clausification,[],[f2472])).
% 46.32/6.21 thf(f2472,plain,(
% 46.32/6.21 ( ! [X2 : $i,X3 : $i,X1 : $i] : (($false = (irel @ X1 @ X3)) | ((irel @ sK1 @ X2) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((irel @ X2 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a3 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b2 @ Y1))))))))) = $false) | ($true = (irel @ X1 @ (sK4 @ X1))) | ($true = (a2 @ X3)) | ($false = (irel @ sK1 @ X1)) | ($true = (!! @ $i @ (^[Y0 : $i]: ((irel @ X2 @ Y0) => (a2 @ Y0)))))) )),
% 46.32/6.21 inference(not_proxy_clausification,[],[f2471])).
% 46.32/6.21 thf(f2471,plain,(
% 46.32/6.21 ( ! [X2 : $i,X3 : $i,X1 : $i] : (($true = (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ X2 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a3 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b2 @ Y1))))))))))) | ($true = (irel @ X1 @ (sK4 @ X1))) | ($false = (irel @ X1 @ X3)) | ($true = (a2 @ X3)) | ((irel @ sK1 @ X2) = $false) | ($false = (irel @ sK1 @ X1)) | ($true = (!! @ $i @ (^[Y0 : $i]: ((irel @ X2 @ Y0) => (a2 @ Y0)))))) )),
% 46.32/6.21 inference(binary_proxy_clausification,[],[f2469])).
% 46.32/6.21 thf(f2469,plain,(
% 46.32/6.21 ( ! [X2 : $i,X3 : $i,X1 : $i] : (($true = ((!! @ $i @ (^[Y0 : $i]: ((irel @ X2 @ Y0) => (a2 @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ X2 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a3 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b2 @ Y1)))))))))))) | ($false = (irel @ X1 @ X3)) | ($true = (a2 @ X3)) | ($true = (irel @ X1 @ (sK4 @ X1))) | ($false = (irel @ sK1 @ X1)) | ((irel @ sK1 @ X2) = $false)) )),
% 46.32/6.21 inference(binary_proxy_clausification,[],[f2444])).
% 46.32/6.21 thf(f2444,plain,(
% 46.32/6.21 ( ! [X2 : $i,X3 : $i,X1 : $i] : (($true = (((!! @ $i @ (^[Y0 : $i]: ((irel @ X2 @ Y0) => (a1 @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ X2 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a2 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b1 @ Y1))))))))))) & ((!! @ $i @ (^[Y0 : $i]: ((irel @ X2 @ Y0) => (a2 @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ X2 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a3 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b2 @ Y1))))))))))))) | ($false = (irel @ X1 @ X3)) | ($true = (irel @ X1 @ (sK4 @ X1))) | ($false = (irel @ sK1 @ X1)) | ((irel @ sK1 @ X2) = $false) | ($true = (a2 @ X3))) )),
% 46.32/6.21 inference(binary_proxy_clausification,[],[f2442])).
% 46.32/6.21 thf(f2442,plain,(
% 46.32/6.21 ( ! [X2 : $i,X3 : $i,X1 : $i] : (($true = (a2 @ X3)) | ($true = (((!! @ $i @ (^[Y0 : $i]: ((irel @ X2 @ Y0) => (a0 @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ X2 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a1 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b0 @ Y1))))))))))) & (((!! @ $i @ (^[Y0 : $i]: ((irel @ X2 @ Y0) => (a1 @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ X2 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a2 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b1 @ Y1))))))))))) & ((!! @ $i @ (^[Y0 : $i]: ((irel @ X2 @ Y0) => (a2 @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ X2 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a3 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b2 @ Y1)))))))))))))) | ($true = (irel @ X1 @ (sK4 @ X1))) | ($false = (irel @ X1 @ X3)) | ($false = (irel @ sK1 @ X1)) | ((irel @ sK1 @ X2) = $false)) )),
% 46.32/6.21 inference(binary_proxy_clausification,[],[f2129])).
% 46.32/6.21 thf(f2129,plain,(
% 46.32/6.21 ( ! [X2 : $i,X3 : $i,X1 : $i] : (($false = (irel @ sK1 @ X1)) | ((irel @ sK1 @ X2) = $false) | ($false = (irel @ X1 @ X3)) | ($true = (irel @ X1 @ (sK4 @ X1))) | ($true = (((!! @ $i @ (^[Y0 : $i]: ((irel @ X2 @ Y0) => (a3 @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ X2 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b0 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b3 @ Y1))))))))))) & (((!! @ $i @ (^[Y0 : $i]: ((irel @ X2 @ Y0) => (a0 @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ X2 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a1 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b0 @ Y1))))))))))) & (((!! @ $i @ (^[Y0 : $i]: ((irel @ X2 @ Y0) => (a1 @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ X2 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a2 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b1 @ Y1))))))))))) & ((!! @ $i @ (^[Y0 : $i]: ((irel @ X2 @ Y0) => (a2 @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ X2 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a3 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b2 @ Y1))))))))))))))) | ($true = (a2 @ X3))) )),
% 46.32/6.21 inference(binary_proxy_clausification,[],[f2127])).
% 46.32/6.21 thf(f2127,plain,(
% 46.32/6.21 ( ! [X2 : $i,X3 : $i,X1 : $i] : (((irel @ sK1 @ X2) = $false) | ($false = (irel @ X1 @ X3)) | (((irel @ X1 @ (sK4 @ X1)) => ((!! @ $i @ (^[Y0 : $i]: ((irel @ (sK4 @ X1) @ Y0) => (a3 @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ (sK4 @ X1) @ Y0) => (b2 @ Y0))))))) = $false) | ($true = (a2 @ X3)) | ($true = (((!! @ $i @ (^[Y0 : $i]: ((irel @ X2 @ Y0) => (a3 @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ X2 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b0 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b3 @ Y1))))))))))) & (((!! @ $i @ (^[Y0 : $i]: ((irel @ X2 @ Y0) => (a0 @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ X2 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a1 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b0 @ Y1))))))))))) & (((!! @ $i @ (^[Y0 : $i]: ((irel @ X2 @ Y0) => (a1 @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ X2 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a2 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b1 @ Y1))))))))))) & ((!! @ $i @ (^[Y0 : $i]: ((irel @ X2 @ Y0) => (a2 @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ X2 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a3 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b2 @ Y1))))))))))))))) | ($false = (irel @ sK1 @ X1))) )),
% 46.32/6.21 inference(beta_eta_normalization,[],[f2126])).
% 46.32/6.21 thf(f2126,plain,(
% 46.32/6.21 ( ! [X2 : $i,X3 : $i,X1 : $i] : (($false = (irel @ sK1 @ X1)) | ($true = (a2 @ X3)) | ($true = (((!! @ $i @ (^[Y0 : $i]: ((irel @ X2 @ Y0) => (a3 @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ X2 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b0 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b3 @ Y1))))))))))) & (((!! @ $i @ (^[Y0 : $i]: ((irel @ X2 @ Y0) => (a0 @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ X2 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a1 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b0 @ Y1))))))))))) & (((!! @ $i @ (^[Y0 : $i]: ((irel @ X2 @ Y0) => (a1 @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ X2 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a2 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b1 @ Y1))))))))))) & ((!! @ $i @ (^[Y0 : $i]: ((irel @ X2 @ Y0) => (a2 @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ X2 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a3 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b2 @ Y1))))))))))))))) | ($false = (irel @ X1 @ X3)) | ((irel @ sK1 @ X2) = $false) | ($false = ((^[Y0 : $i]: ((irel @ X1 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a3 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b2 @ Y1)))))))) @ (sK4 @ X1)))) )),
% 46.32/6.21 inference(sigma_clausification,[],[f2124])).
% 46.32/6.21 thf(f2124,plain,(
% 46.32/6.21 ( ! [X2 : $i,X3 : $i,X1 : $i] : (($true = (a2 @ X3)) | ($false = (!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a3 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b2 @ Y1)))))))))) | ($true = (((!! @ $i @ (^[Y0 : $i]: ((irel @ X2 @ Y0) => (a3 @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ X2 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b0 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b3 @ Y1))))))))))) & (((!! @ $i @ (^[Y0 : $i]: ((irel @ X2 @ Y0) => (a0 @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ X2 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a1 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b0 @ Y1))))))))))) & (((!! @ $i @ (^[Y0 : $i]: ((irel @ X2 @ Y0) => (a1 @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ X2 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a2 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b1 @ Y1))))))))))) & ((!! @ $i @ (^[Y0 : $i]: ((irel @ X2 @ Y0) => (a2 @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ X2 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a3 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b2 @ Y1))))))))))))))) | ($false = (irel @ X1 @ X3)) | ($false = (irel @ sK1 @ X1)) | ((irel @ sK1 @ X2) = $false)) )),
% 46.32/6.21 inference(binary_proxy_clausification,[],[f2123])).
% 46.32/6.21 thf(f2123,plain,(
% 46.32/6.21 ( ! [X2 : $i,X3 : $i,X1 : $i] : (($true = (((!! @ $i @ (^[Y0 : $i]: ((irel @ X2 @ Y0) => (f @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ X2 @ Y0) => (a0 @ Y0)))))) & (((!! @ $i @ (^[Y0 : $i]: ((irel @ X2 @ Y0) => (a3 @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ X2 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b0 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b3 @ Y1))))))))))) & (((!! @ $i @ (^[Y0 : $i]: ((irel @ X2 @ Y0) => (a0 @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ X2 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a1 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b0 @ Y1))))))))))) & (((!! @ $i @ (^[Y0 : $i]: ((irel @ X2 @ Y0) => (a1 @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ X2 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a2 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b1 @ Y1))))))))))) & ((!! @ $i @ (^[Y0 : $i]: ((irel @ X2 @ Y0) => (a2 @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ X2 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a3 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b2 @ Y1)))))))))))))))) | ($false = (!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a3 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b2 @ Y1)))))))))) | ($false = (irel @ sK1 @ X1)) | ($false = (irel @ X1 @ X3)) | ((irel @ sK1 @ X2) = $false) | ($true = (a2 @ X3))) )),
% 46.32/6.21 inference(binary_proxy_clausification,[],[f2122])).
% 46.32/6.21 thf(f2122,plain,(
% 46.32/6.21 ( ! [X2 : $i,X3 : $i,X1 : $i] : (($true = ((irel @ X1 @ X3) => (a2 @ X3))) | ($false = (!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a3 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b2 @ Y1)))))))))) | ($false = (irel @ sK1 @ X1)) | ($true = (((!! @ $i @ (^[Y0 : $i]: ((irel @ X2 @ Y0) => (f @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ X2 @ Y0) => (a0 @ Y0)))))) & (((!! @ $i @ (^[Y0 : $i]: ((irel @ X2 @ Y0) => (a3 @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ X2 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b0 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b3 @ Y1))))))))))) & (((!! @ $i @ (^[Y0 : $i]: ((irel @ X2 @ Y0) => (a0 @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ X2 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a1 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b0 @ Y1))))))))))) & (((!! @ $i @ (^[Y0 : $i]: ((irel @ X2 @ Y0) => (a1 @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ X2 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a2 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b1 @ Y1))))))))))) & ((!! @ $i @ (^[Y0 : $i]: ((irel @ X2 @ Y0) => (a2 @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ X2 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a3 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b2 @ Y1)))))))))))))))) | ((irel @ sK1 @ X2) = $false)) )),
% 46.32/6.21 inference(not_proxy_clausification,[],[f2121])).
% 46.32/6.21 thf(f2121,plain,(
% 46.32/6.21 ( ! [X2 : $i,X3 : $i,X1 : $i] : (((irel @ sK1 @ X2) = $false) | ($true = (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a3 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b2 @ Y1))))))))))) | ($false = (irel @ sK1 @ X1)) | ($true = ((irel @ X1 @ X3) => (a2 @ X3))) | ($true = (((!! @ $i @ (^[Y0 : $i]: ((irel @ X2 @ Y0) => (f @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ X2 @ Y0) => (a0 @ Y0)))))) & (((!! @ $i @ (^[Y0 : $i]: ((irel @ X2 @ Y0) => (a3 @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ X2 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b0 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b3 @ Y1))))))))))) & (((!! @ $i @ (^[Y0 : $i]: ((irel @ X2 @ Y0) => (a0 @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ X2 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a1 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b0 @ Y1))))))))))) & (((!! @ $i @ (^[Y0 : $i]: ((irel @ X2 @ Y0) => (a1 @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ X2 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a2 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b1 @ Y1))))))))))) & ((!! @ $i @ (^[Y0 : $i]: ((irel @ X2 @ Y0) => (a2 @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ X2 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a3 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b2 @ Y1))))))))))))))))) )),
% 46.32/6.21 inference(beta_eta_normalization,[],[f2120])).
% 46.32/6.21 thf(f2120,plain,(
% 46.32/6.21 ( ! [X2 : $i,X3 : $i,X1 : $i] : (($true = (((!! @ $i @ (^[Y0 : $i]: ((irel @ X2 @ Y0) => (f @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ X2 @ Y0) => (a0 @ Y0)))))) & (((!! @ $i @ (^[Y0 : $i]: ((irel @ X2 @ Y0) => (a3 @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ X2 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b0 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b3 @ Y1))))))))))) & (((!! @ $i @ (^[Y0 : $i]: ((irel @ X2 @ Y0) => (a0 @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ X2 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a1 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b0 @ Y1))))))))))) & (((!! @ $i @ (^[Y0 : $i]: ((irel @ X2 @ Y0) => (a1 @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ X2 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a2 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b1 @ Y1))))))))))) & ((!! @ $i @ (^[Y0 : $i]: ((irel @ X2 @ Y0) => (a2 @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ X2 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a3 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b2 @ Y1)))))))))))))))) | ($false = (irel @ sK1 @ X1)) | ($true = ((^[Y0 : $i]: ((irel @ X1 @ Y0) => (a2 @ Y0))) @ X3)) | ((irel @ sK1 @ X2) = $false) | ($true = (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a3 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b2 @ Y1)))))))))))) )),
% 46.32/6.21 inference(pi_clausification,[],[f2119])).
% 46.32/6.21 thf(f2119,plain,(
% 46.32/6.21 ( ! [X2 : $i,X1 : $i] : (($false = (irel @ sK1 @ X1)) | ((irel @ sK1 @ X2) = $false) | ($true = (!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => (a2 @ Y0))))) | ($true = (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a3 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b2 @ Y1))))))))))) | ($true = (((!! @ $i @ (^[Y0 : $i]: ((irel @ X2 @ Y0) => (f @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ X2 @ Y0) => (a0 @ Y0)))))) & (((!! @ $i @ (^[Y0 : $i]: ((irel @ X2 @ Y0) => (a3 @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ X2 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b0 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b3 @ Y1))))))))))) & (((!! @ $i @ (^[Y0 : $i]: ((irel @ X2 @ Y0) => (a0 @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ X2 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a1 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b0 @ Y1))))))))))) & (((!! @ $i @ (^[Y0 : $i]: ((irel @ X2 @ Y0) => (a1 @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ X2 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a2 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b1 @ Y1))))))))))) & ((!! @ $i @ (^[Y0 : $i]: ((irel @ X2 @ Y0) => (a2 @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ X2 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a3 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b2 @ Y1))))))))))))))))) )),
% 46.32/6.21 inference(binary_proxy_clausification,[],[f433])).
% 46.32/6.21 thf(f433,plain,(
% 46.32/6.21 ( ! [X2 : $i,X1 : $i] : (($false = (irel @ sK1 @ X1)) | ((irel @ sK1 @ X2) = $false) | ($true = ((!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => (a2 @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a3 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b2 @ Y1)))))))))))) | ($true = (((!! @ $i @ (^[Y0 : $i]: ((irel @ X2 @ Y0) => (f @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ X2 @ Y0) => (a0 @ Y0)))))) & (((!! @ $i @ (^[Y0 : $i]: ((irel @ X2 @ Y0) => (a3 @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ X2 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b0 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b3 @ Y1))))))))))) & (((!! @ $i @ (^[Y0 : $i]: ((irel @ X2 @ Y0) => (a0 @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ X2 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a1 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b0 @ Y1))))))))))) & (((!! @ $i @ (^[Y0 : $i]: ((irel @ X2 @ Y0) => (a1 @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ X2 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a2 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b1 @ Y1))))))))))) & ((!! @ $i @ (^[Y0 : $i]: ((irel @ X2 @ Y0) => (a2 @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ X2 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a3 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b2 @ Y1))))))))))))))))) )),
% 46.32/6.21 inference(binary_proxy_clausification,[],[f431])).
% 46.32/6.21 thf(f431,plain,(
% 46.32/6.21 ( ! [X2 : $i,X1 : $i] : (($true = (((!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => (a2 @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a3 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b2 @ Y1))))))))))) & (((!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => (a1 @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a2 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b1 @ Y1))))))))))) & (((!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => (a0 @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a1 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b0 @ Y1))))))))))) & (((!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => (a3 @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b0 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b3 @ Y1))))))))))) & ((!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => (f @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => (a0 @ Y0))))))))))) | ($true = (((!! @ $i @ (^[Y0 : $i]: ((irel @ X2 @ Y0) => (f @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ X2 @ Y0) => (a0 @ Y0)))))) & (((!! @ $i @ (^[Y0 : $i]: ((irel @ X2 @ Y0) => (a3 @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ X2 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b0 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b3 @ Y1))))))))))) & (((!! @ $i @ (^[Y0 : $i]: ((irel @ X2 @ Y0) => (a0 @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ X2 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a1 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b0 @ Y1))))))))))) & (((!! @ $i @ (^[Y0 : $i]: ((irel @ X2 @ Y0) => (a1 @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ X2 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a2 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b1 @ Y1))))))))))) & ((!! @ $i @ (^[Y0 : $i]: ((irel @ X2 @ Y0) => (a2 @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ X2 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a3 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b2 @ Y1)))))))))))))))) | ($false = (irel @ sK1 @ X1)) | ((irel @ sK1 @ X2) = $false)) )),
% 46.32/6.21 inference(binary_proxy_clausification,[],[f430])).
% 46.32/6.21 thf(f430,plain,(
% 46.32/6.21 ( ! [X2 : $i,X1 : $i] : (($true = ((irel @ sK1 @ X1) => (((!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => (a2 @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a3 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b2 @ Y1))))))))))) & (((!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => (a1 @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a2 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b1 @ Y1))))))))))) & (((!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => (a0 @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a1 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b0 @ Y1))))))))))) & (((!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => (a3 @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b0 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b3 @ Y1))))))))))) & ((!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => (f @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => (a0 @ Y0)))))))))))) | ((irel @ sK1 @ X2) = $false) | ($true = (((!! @ $i @ (^[Y0 : $i]: ((irel @ X2 @ Y0) => (f @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ X2 @ Y0) => (a0 @ Y0)))))) & (((!! @ $i @ (^[Y0 : $i]: ((irel @ X2 @ Y0) => (a3 @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ X2 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b0 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b3 @ Y1))))))))))) & (((!! @ $i @ (^[Y0 : $i]: ((irel @ X2 @ Y0) => (a0 @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ X2 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a1 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b0 @ Y1))))))))))) & (((!! @ $i @ (^[Y0 : $i]: ((irel @ X2 @ Y0) => (a1 @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ X2 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a2 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b1 @ Y1))))))))))) & ((!! @ $i @ (^[Y0 : $i]: ((irel @ X2 @ Y0) => (a2 @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ X2 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a3 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b2 @ Y1))))))))))))))))) )),
% 46.32/6.21 inference(binary_proxy_clausification,[],[f429])).
% 46.32/6.21 thf(f429,plain,(
% 46.32/6.21 ( ! [X2 : $i,X1 : $i] : (($true = ((irel @ sK1 @ X2) => (((!! @ $i @ (^[Y0 : $i]: ((irel @ X2 @ Y0) => (f @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ X2 @ Y0) => (a0 @ Y0)))))) & (((!! @ $i @ (^[Y0 : $i]: ((irel @ X2 @ Y0) => (a3 @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ X2 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b0 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b3 @ Y1))))))))))) & (((!! @ $i @ (^[Y0 : $i]: ((irel @ X2 @ Y0) => (a0 @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ X2 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a1 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b0 @ Y1))))))))))) & (((!! @ $i @ (^[Y0 : $i]: ((irel @ X2 @ Y0) => (a1 @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ X2 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a2 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b1 @ Y1))))))))))) & ((!! @ $i @ (^[Y0 : $i]: ((irel @ X2 @ Y0) => (a2 @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ X2 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a3 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b2 @ Y1))))))))))))))))) | ($true = ((irel @ sK1 @ X1) => (((!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => (a2 @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a3 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b2 @ Y1))))))))))) & (((!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => (a1 @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a2 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b1 @ Y1))))))))))) & (((!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => (a0 @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a1 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b0 @ Y1))))))))))) & (((!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => (a3 @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b0 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b3 @ Y1))))))))))) & ((!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => (f @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => (a0 @ Y0))))))))))))) )),
% 46.32/6.21 inference(beta_eta_normalization,[],[f428])).
% 46.32/6.21 thf(f428,plain,(
% 46.32/6.21 ( ! [X2 : $i,X1 : $i] : (($true = ((irel @ sK1 @ X1) => (((!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => (a2 @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a3 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b2 @ Y1))))))))))) & (((!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => (a1 @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a2 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b1 @ Y1))))))))))) & (((!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => (a0 @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a1 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b0 @ Y1))))))))))) & (((!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => (a3 @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b0 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b3 @ Y1))))))))))) & ((!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => (f @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => (a0 @ Y0)))))))))))) | ($true = ((^[Y0 : $i]: ((irel @ sK1 @ Y0) => (((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (f @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a0 @ Y1)))))) & (((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a3 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => ((!! @ $i @ (^[Y2 : $i]: ((irel @ Y1 @ Y2) => (b0 @ Y2)))) | (~ (!! @ $i @ (^[Y2 : $i]: ((irel @ Y1 @ Y2) => (b3 @ Y2))))))))))) & (((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a0 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => ((!! @ $i @ (^[Y2 : $i]: ((irel @ Y1 @ Y2) => (a1 @ Y2)))) | (~ (!! @ $i @ (^[Y2 : $i]: ((irel @ Y1 @ Y2) => (b0 @ Y2))))))))))) & (((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a1 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => ((!! @ $i @ (^[Y2 : $i]: ((irel @ Y1 @ Y2) => (a2 @ Y2)))) | (~ (!! @ $i @ (^[Y2 : $i]: ((irel @ Y1 @ Y2) => (b1 @ Y2))))))))))) & ((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a2 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => ((!! @ $i @ (^[Y2 : $i]: ((irel @ Y1 @ Y2) => (a3 @ Y2)))) | (~ (!! @ $i @ (^[Y2 : $i]: ((irel @ Y1 @ Y2) => (b2 @ Y2))))))))))))))))) @ X2))) )),
% 46.32/6.21 inference(pi_clausification,[],[f427])).
% 46.32/6.21 thf(f427,plain,(
% 46.32/6.21 ( ! [X1 : $i] : (($true = (!! @ $i @ (^[Y0 : $i]: ((irel @ sK1 @ Y0) => (((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (f @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a0 @ Y1)))))) & (((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a3 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => ((!! @ $i @ (^[Y2 : $i]: ((irel @ Y1 @ Y2) => (b0 @ Y2)))) | (~ (!! @ $i @ (^[Y2 : $i]: ((irel @ Y1 @ Y2) => (b3 @ Y2))))))))))) & (((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a0 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => ((!! @ $i @ (^[Y2 : $i]: ((irel @ Y1 @ Y2) => (a1 @ Y2)))) | (~ (!! @ $i @ (^[Y2 : $i]: ((irel @ Y1 @ Y2) => (b0 @ Y2))))))))))) & (((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a1 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => ((!! @ $i @ (^[Y2 : $i]: ((irel @ Y1 @ Y2) => (a2 @ Y2)))) | (~ (!! @ $i @ (^[Y2 : $i]: ((irel @ Y1 @ Y2) => (b1 @ Y2))))))))))) & ((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a2 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => ((!! @ $i @ (^[Y2 : $i]: ((irel @ Y1 @ Y2) => (a3 @ Y2)))) | (~ (!! @ $i @ (^[Y2 : $i]: ((irel @ Y1 @ Y2) => (b2 @ Y2))))))))))))))))))) | ($true = ((irel @ sK1 @ X1) => (((!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => (a2 @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a3 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b2 @ Y1))))))))))) & (((!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => (a1 @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a2 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b1 @ Y1))))))))))) & (((!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => (a0 @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a1 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b0 @ Y1))))))))))) & (((!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => (a3 @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b0 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b3 @ Y1))))))))))) & ((!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => (f @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => (a0 @ Y0))))))))))))) )),
% 46.32/6.21 inference(beta_eta_normalization,[],[f426])).
% 46.32/6.21 thf(f426,plain,(
% 46.32/6.21 ( ! [X1 : $i] : ((((^[Y0 : $i]: ((irel @ sK1 @ Y0) => (((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a2 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => ((!! @ $i @ (^[Y2 : $i]: ((irel @ Y1 @ Y2) => (a3 @ Y2)))) | (~ (!! @ $i @ (^[Y2 : $i]: ((irel @ Y1 @ Y2) => (b2 @ Y2))))))))))) & (((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a1 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => ((!! @ $i @ (^[Y2 : $i]: ((irel @ Y1 @ Y2) => (a2 @ Y2)))) | (~ (!! @ $i @ (^[Y2 : $i]: ((irel @ Y1 @ Y2) => (b1 @ Y2))))))))))) & (((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a0 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => ((!! @ $i @ (^[Y2 : $i]: ((irel @ Y1 @ Y2) => (a1 @ Y2)))) | (~ (!! @ $i @ (^[Y2 : $i]: ((irel @ Y1 @ Y2) => (b0 @ Y2))))))))))) & (((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a3 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => ((!! @ $i @ (^[Y2 : $i]: ((irel @ Y1 @ Y2) => (b0 @ Y2)))) | (~ (!! @ $i @ (^[Y2 : $i]: ((irel @ Y1 @ Y2) => (b3 @ Y2))))))))))) & ((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (f @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a0 @ Y1)))))))))))) @ X1) = $true) | ($true = (!! @ $i @ (^[Y0 : $i]: ((irel @ sK1 @ Y0) => (((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (f @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a0 @ Y1)))))) & (((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a3 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => ((!! @ $i @ (^[Y2 : $i]: ((irel @ Y1 @ Y2) => (b0 @ Y2)))) | (~ (!! @ $i @ (^[Y2 : $i]: ((irel @ Y1 @ Y2) => (b3 @ Y2))))))))))) & (((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a0 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => ((!! @ $i @ (^[Y2 : $i]: ((irel @ Y1 @ Y2) => (a1 @ Y2)))) | (~ (!! @ $i @ (^[Y2 : $i]: ((irel @ Y1 @ Y2) => (b0 @ Y2))))))))))) & (((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a1 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => ((!! @ $i @ (^[Y2 : $i]: ((irel @ Y1 @ Y2) => (a2 @ Y2)))) | (~ (!! @ $i @ (^[Y2 : $i]: ((irel @ Y1 @ Y2) => (b1 @ Y2))))))))))) & ((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a2 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => ((!! @ $i @ (^[Y2 : $i]: ((irel @ Y1 @ Y2) => (a3 @ Y2)))) | (~ (!! @ $i @ (^[Y2 : $i]: ((irel @ Y1 @ Y2) => (b2 @ Y2)))))))))))))))))))) )),
% 46.32/6.21 inference(pi_clausification,[],[f425])).
% 46.32/6.21 thf(f425,plain,(
% 46.32/6.21 ($true = (!! @ $i @ (^[Y0 : $i]: ((irel @ sK1 @ Y0) => (((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a2 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => ((!! @ $i @ (^[Y2 : $i]: ((irel @ Y1 @ Y2) => (a3 @ Y2)))) | (~ (!! @ $i @ (^[Y2 : $i]: ((irel @ Y1 @ Y2) => (b2 @ Y2))))))))))) & (((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a1 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => ((!! @ $i @ (^[Y2 : $i]: ((irel @ Y1 @ Y2) => (a2 @ Y2)))) | (~ (!! @ $i @ (^[Y2 : $i]: ((irel @ Y1 @ Y2) => (b1 @ Y2))))))))))) & (((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a0 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => ((!! @ $i @ (^[Y2 : $i]: ((irel @ Y1 @ Y2) => (a1 @ Y2)))) | (~ (!! @ $i @ (^[Y2 : $i]: ((irel @ Y1 @ Y2) => (b0 @ Y2))))))))))) & (((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a3 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => ((!! @ $i @ (^[Y2 : $i]: ((irel @ Y1 @ Y2) => (b0 @ Y2)))) | (~ (!! @ $i @ (^[Y2 : $i]: ((irel @ Y1 @ Y2) => (b3 @ Y2))))))))))) & ((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (f @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a0 @ Y1)))))))))))))) | ($true = (!! @ $i @ (^[Y0 : $i]: ((irel @ sK1 @ Y0) => (((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (f @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a0 @ Y1)))))) & (((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a3 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => ((!! @ $i @ (^[Y2 : $i]: ((irel @ Y1 @ Y2) => (b0 @ Y2)))) | (~ (!! @ $i @ (^[Y2 : $i]: ((irel @ Y1 @ Y2) => (b3 @ Y2))))))))))) & (((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a0 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => ((!! @ $i @ (^[Y2 : $i]: ((irel @ Y1 @ Y2) => (a1 @ Y2)))) | (~ (!! @ $i @ (^[Y2 : $i]: ((irel @ Y1 @ Y2) => (b0 @ Y2))))))))))) & (((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a1 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => ((!! @ $i @ (^[Y2 : $i]: ((irel @ Y1 @ Y2) => (a2 @ Y2)))) | (~ (!! @ $i @ (^[Y2 : $i]: ((irel @ Y1 @ Y2) => (b1 @ Y2))))))))))) & ((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a2 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => ((!! @ $i @ (^[Y2 : $i]: ((irel @ Y1 @ Y2) => (a3 @ Y2)))) | (~ (!! @ $i @ (^[Y2 : $i]: ((irel @ Y1 @ Y2) => (b2 @ Y2)))))))))))))))))))),
% 46.32/6.21 inference(not_proxy_clausification,[],[f424])).
% 46.32/6.21 thf(f424,plain,(
% 46.32/6.21 ((~ (!! @ $i @ (^[Y0 : $i]: ((irel @ sK1 @ Y0) => (((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (f @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a0 @ Y1)))))) & (((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a3 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => ((!! @ $i @ (^[Y2 : $i]: ((irel @ Y1 @ Y2) => (b0 @ Y2)))) | (~ (!! @ $i @ (^[Y2 : $i]: ((irel @ Y1 @ Y2) => (b3 @ Y2))))))))))) & (((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a0 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => ((!! @ $i @ (^[Y2 : $i]: ((irel @ Y1 @ Y2) => (a1 @ Y2)))) | (~ (!! @ $i @ (^[Y2 : $i]: ((irel @ Y1 @ Y2) => (b0 @ Y2))))))))))) & (((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a1 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => ((!! @ $i @ (^[Y2 : $i]: ((irel @ Y1 @ Y2) => (a2 @ Y2)))) | (~ (!! @ $i @ (^[Y2 : $i]: ((irel @ Y1 @ Y2) => (b1 @ Y2))))))))))) & ((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a2 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => ((!! @ $i @ (^[Y2 : $i]: ((irel @ Y1 @ Y2) => (a3 @ Y2)))) | (~ (!! @ $i @ (^[Y2 : $i]: ((irel @ Y1 @ Y2) => (b2 @ Y2))))))))))))))))))) = $false) | ($true = (!! @ $i @ (^[Y0 : $i]: ((irel @ sK1 @ Y0) => (((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a2 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => ((!! @ $i @ (^[Y2 : $i]: ((irel @ Y1 @ Y2) => (a3 @ Y2)))) | (~ (!! @ $i @ (^[Y2 : $i]: ((irel @ Y1 @ Y2) => (b2 @ Y2))))))))))) & (((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a1 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => ((!! @ $i @ (^[Y2 : $i]: ((irel @ Y1 @ Y2) => (a2 @ Y2)))) | (~ (!! @ $i @ (^[Y2 : $i]: ((irel @ Y1 @ Y2) => (b1 @ Y2))))))))))) & (((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a0 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => ((!! @ $i @ (^[Y2 : $i]: ((irel @ Y1 @ Y2) => (a1 @ Y2)))) | (~ (!! @ $i @ (^[Y2 : $i]: ((irel @ Y1 @ Y2) => (b0 @ Y2))))))))))) & (((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a3 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => ((!! @ $i @ (^[Y2 : $i]: ((irel @ Y1 @ Y2) => (b0 @ Y2)))) | (~ (!! @ $i @ (^[Y2 : $i]: ((irel @ Y1 @ Y2) => (b3 @ Y2))))))))))) & ((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (f @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a0 @ Y1))))))))))))))),
% 46.32/6.21 inference(not_proxy_clausification,[],[f422])).
% 46.32/6.21 thf(f422,plain,(
% 46.32/6.21 ($false = (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ sK1 @ Y0) => (((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a2 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => ((!! @ $i @ (^[Y2 : $i]: ((irel @ Y1 @ Y2) => (a3 @ Y2)))) | (~ (!! @ $i @ (^[Y2 : $i]: ((irel @ Y1 @ Y2) => (b2 @ Y2))))))))))) & (((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a1 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => ((!! @ $i @ (^[Y2 : $i]: ((irel @ Y1 @ Y2) => (a2 @ Y2)))) | (~ (!! @ $i @ (^[Y2 : $i]: ((irel @ Y1 @ Y2) => (b1 @ Y2))))))))))) & (((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a0 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => ((!! @ $i @ (^[Y2 : $i]: ((irel @ Y1 @ Y2) => (a1 @ Y2)))) | (~ (!! @ $i @ (^[Y2 : $i]: ((irel @ Y1 @ Y2) => (b0 @ Y2))))))))))) & (((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a3 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => ((!! @ $i @ (^[Y2 : $i]: ((irel @ Y1 @ Y2) => (b0 @ Y2)))) | (~ (!! @ $i @ (^[Y2 : $i]: ((irel @ Y1 @ Y2) => (b3 @ Y2))))))))))) & ((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (f @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a0 @ Y1))))))))))))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((irel @ sK1 @ Y0) => (((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (f @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a0 @ Y1)))))) & (((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a3 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => ((!! @ $i @ (^[Y2 : $i]: ((irel @ Y1 @ Y2) => (b0 @ Y2)))) | (~ (!! @ $i @ (^[Y2 : $i]: ((irel @ Y1 @ Y2) => (b3 @ Y2))))))))))) & (((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a0 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => ((!! @ $i @ (^[Y2 : $i]: ((irel @ Y1 @ Y2) => (a1 @ Y2)))) | (~ (!! @ $i @ (^[Y2 : $i]: ((irel @ Y1 @ Y2) => (b0 @ Y2))))))))))) & (((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a1 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => ((!! @ $i @ (^[Y2 : $i]: ((irel @ Y1 @ Y2) => (a2 @ Y2)))) | (~ (!! @ $i @ (^[Y2 : $i]: ((irel @ Y1 @ Y2) => (b1 @ Y2))))))))))) & ((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a2 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => ((!! @ $i @ (^[Y2 : $i]: ((irel @ Y1 @ Y2) => (a3 @ Y2)))) | (~ (!! @ $i @ (^[Y2 : $i]: ((irel @ Y1 @ Y2) => (b2 @ Y2))))))))))))))))))) = $false)),
% 46.32/6.21 inference(binary_proxy_clausification,[],[f105])).
% 46.32/6.21 thf(f105,plain,(
% 46.32/6.21 (((!! @ $i @ (^[Y0 : $i]: ((irel @ sK1 @ Y0) => (f @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ sK1 @ Y0) => (((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (f @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a0 @ Y1)))))) & (((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a3 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => ((!! @ $i @ (^[Y2 : $i]: ((irel @ Y1 @ Y2) => (b0 @ Y2)))) | (~ (!! @ $i @ (^[Y2 : $i]: ((irel @ Y1 @ Y2) => (b3 @ Y2))))))))))) & (((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a0 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => ((!! @ $i @ (^[Y2 : $i]: ((irel @ Y1 @ Y2) => (a1 @ Y2)))) | (~ (!! @ $i @ (^[Y2 : $i]: ((irel @ Y1 @ Y2) => (b0 @ Y2))))))))))) & (((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a1 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => ((!! @ $i @ (^[Y2 : $i]: ((irel @ Y1 @ Y2) => (a2 @ Y2)))) | (~ (!! @ $i @ (^[Y2 : $i]: ((irel @ Y1 @ Y2) => (b1 @ Y2))))))))))) & ((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a2 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => ((!! @ $i @ (^[Y2 : $i]: ((irel @ Y1 @ Y2) => (a3 @ Y2)))) | (~ (!! @ $i @ (^[Y2 : $i]: ((irel @ Y1 @ Y2) => (b2 @ Y2)))))))))))))))))))) = $false) | ($false = (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ sK1 @ Y0) => (((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a2 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => ((!! @ $i @ (^[Y2 : $i]: ((irel @ Y1 @ Y2) => (a3 @ Y2)))) | (~ (!! @ $i @ (^[Y2 : $i]: ((irel @ Y1 @ Y2) => (b2 @ Y2))))))))))) & (((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a1 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => ((!! @ $i @ (^[Y2 : $i]: ((irel @ Y1 @ Y2) => (a2 @ Y2)))) | (~ (!! @ $i @ (^[Y2 : $i]: ((irel @ Y1 @ Y2) => (b1 @ Y2))))))))))) & (((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a0 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => ((!! @ $i @ (^[Y2 : $i]: ((irel @ Y1 @ Y2) => (a1 @ Y2)))) | (~ (!! @ $i @ (^[Y2 : $i]: ((irel @ Y1 @ Y2) => (b0 @ Y2))))))))))) & (((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a3 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => ((!! @ $i @ (^[Y2 : $i]: ((irel @ Y1 @ Y2) => (b0 @ Y2)))) | (~ (!! @ $i @ (^[Y2 : $i]: ((irel @ Y1 @ Y2) => (b3 @ Y2))))))))))) & ((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (f @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a0 @ Y1)))))))))))))))),
% 46.32/6.21 inference(binary_proxy_clausification,[],[f104])).
% 46.32/6.21 thf(f2340,plain,(
% 46.32/6.21 spl0_6 | spl0_6),
% 46.32/6.21 inference(avatar_split_clause,[],[f2339,f181,f181])).
% 46.32/6.21 thf(f2339,plain,(
% 46.32/6.21 ( ! [X2 : $i,X3 : $i,X1 : $i,X4 : $i] : (($false = (irel @ sK1 @ X1)) | ((irel @ sK1 @ X2) = $false) | ($false = (irel @ X1 @ X3)) | ($true = (a2 @ X4)) | ($true = (irel @ (sK4 @ X1) @ (sK5 @ X1))) | ($true = (irel @ (sK4 @ X2) @ (sK5 @ X2))) | ($false = (irel @ X2 @ X4)) | ($true = (a2 @ X3))) )),
% 46.32/6.21 inference(binary_proxy_clausification,[],[f2337])).
% 46.32/6.21 thf(f2337,plain,(
% 46.32/6.21 ( ! [X2 : $i,X3 : $i,X1 : $i,X4 : $i] : (($false = (irel @ X2 @ X4)) | ((irel @ sK1 @ X2) = $false) | ($true = (a2 @ X3)) | ($false = ((irel @ (sK4 @ X2) @ (sK5 @ X2)) => (a3 @ (sK5 @ X2)))) | ($true = (irel @ (sK4 @ X1) @ (sK5 @ X1))) | ($true = (a2 @ X4)) | ($false = (irel @ sK1 @ X1)) | ($false = (irel @ X1 @ X3))) )),
% 46.32/6.21 inference(beta_eta_normalization,[],[f2336])).
% 46.32/6.21 thf(f2336,plain,(
% 46.32/6.21 ( ! [X2 : $i,X3 : $i,X1 : $i,X4 : $i] : (($true = (a2 @ X4)) | ($true = (a2 @ X3)) | ($false = (irel @ sK1 @ X1)) | (((^[Y0 : $i]: ((irel @ (sK4 @ X2) @ Y0) => (a3 @ Y0))) @ (sK5 @ X2)) = $false) | ($true = (irel @ (sK4 @ X1) @ (sK5 @ X1))) | ($false = (irel @ X1 @ X3)) | ($false = (irel @ X2 @ X4)) | ((irel @ sK1 @ X2) = $false)) )),
% 46.32/6.21 inference(sigma_clausification,[],[f2335])).
% 46.32/6.21 thf(f2335,plain,(
% 46.32/6.21 ( ! [X2 : $i,X3 : $i,X1 : $i,X4 : $i] : (($true = (a2 @ X3)) | ($false = (irel @ sK1 @ X1)) | ($false = (irel @ X1 @ X3)) | ($true = (irel @ (sK4 @ X1) @ (sK5 @ X1))) | ((irel @ sK1 @ X2) = $false) | ($true = (a2 @ X4)) | ($false = (irel @ X2 @ X4)) | ((!! @ $i @ (^[Y0 : $i]: ((irel @ (sK4 @ X2) @ Y0) => (a3 @ Y0)))) = $false)) )),
% 46.32/6.21 inference(binary_proxy_clausification,[],[f2331])).
% 46.32/6.21 thf(f2331,plain,(
% 46.32/6.21 ( ! [X2 : $i,X3 : $i,X1 : $i,X4 : $i] : (($false = (irel @ X1 @ X3)) | ($true = (a2 @ X3)) | ($false = (irel @ X2 @ X4)) | ($false = ((!! @ $i @ (^[Y0 : $i]: ((irel @ (sK4 @ X2) @ Y0) => (a3 @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ (sK4 @ X2) @ Y0) => (b2 @ Y0))))))) | ((irel @ sK1 @ X2) = $false) | ($false = (irel @ sK1 @ X1)) | ($true = (a2 @ X4)) | ($true = (irel @ (sK4 @ X1) @ (sK5 @ X1)))) )),
% 46.32/6.21 inference(binary_proxy_clausification,[],[f2330])).
% 46.32/6.21 thf(f2330,plain,(
% 46.32/6.21 ( ! [X2 : $i,X3 : $i,X1 : $i,X4 : $i] : (($false = (irel @ X1 @ X3)) | (((irel @ X2 @ (sK4 @ X2)) => ((!! @ $i @ (^[Y0 : $i]: ((irel @ (sK4 @ X2) @ Y0) => (a3 @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ (sK4 @ X2) @ Y0) => (b2 @ Y0))))))) = $false) | ($true = (a2 @ X3)) | ($false = (irel @ X2 @ X4)) | ($false = (irel @ sK1 @ X1)) | ((irel @ sK1 @ X2) = $false) | ($true = (irel @ (sK4 @ X1) @ (sK5 @ X1))) | ($true = (a2 @ X4))) )),
% 46.32/6.21 inference(binary_proxy_clausification,[],[f2329])).
% 46.32/6.21 thf(f2329,plain,(
% 46.32/6.21 ( ! [X2 : $i,X3 : $i,X1 : $i,X4 : $i] : (($true = (a2 @ X3)) | ($true = ((irel @ X2 @ X4) => (a2 @ X4))) | (((irel @ X2 @ (sK4 @ X2)) => ((!! @ $i @ (^[Y0 : $i]: ((irel @ (sK4 @ X2) @ Y0) => (a3 @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ (sK4 @ X2) @ Y0) => (b2 @ Y0))))))) = $false) | ((irel @ sK1 @ X2) = $false) | ($true = (irel @ (sK4 @ X1) @ (sK5 @ X1))) | ($false = (irel @ X1 @ X3)) | ($false = (irel @ sK1 @ X1))) )),
% 46.32/6.21 inference(beta_eta_normalization,[],[f2328])).
% 46.32/6.21 thf(f2328,plain,(
% 46.32/6.21 ( ! [X2 : $i,X3 : $i,X1 : $i,X4 : $i] : (((irel @ sK1 @ X2) = $false) | ($true = (a2 @ X3)) | ($true = (irel @ (sK4 @ X1) @ (sK5 @ X1))) | ($false = (irel @ X1 @ X3)) | ($false = (irel @ sK1 @ X1)) | ($true = ((irel @ X2 @ X4) => (a2 @ X4))) | ($false = ((^[Y0 : $i]: ((irel @ X2 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a3 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b2 @ Y1)))))))) @ (sK4 @ X2)))) )),
% 46.32/6.21 inference(sigma_clausification,[],[f2327])).
% 46.32/6.21 thf(f2327,plain,(
% 46.32/6.21 ( ! [X2 : $i,X3 : $i,X1 : $i,X4 : $i] : (((!! @ $i @ (^[Y0 : $i]: ((irel @ X2 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a3 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b2 @ Y1))))))))) = $false) | ($true = ((irel @ X2 @ X4) => (a2 @ X4))) | ($true = (a2 @ X3)) | ($true = (irel @ (sK4 @ X1) @ (sK5 @ X1))) | ((irel @ sK1 @ X2) = $false) | ($false = (irel @ X1 @ X3)) | ($false = (irel @ sK1 @ X1))) )),
% 46.32/6.21 inference(not_proxy_clausification,[],[f2326])).
% 46.32/6.21 thf(f2326,plain,(
% 46.32/6.21 ( ! [X2 : $i,X3 : $i,X1 : $i,X4 : $i] : (($true = (a2 @ X3)) | ($true = (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ X2 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a3 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b2 @ Y1))))))))))) | ($true = ((irel @ X2 @ X4) => (a2 @ X4))) | ((irel @ sK1 @ X2) = $false) | ($true = (irel @ (sK4 @ X1) @ (sK5 @ X1))) | ($false = (irel @ sK1 @ X1)) | ($false = (irel @ X1 @ X3))) )),
% 46.32/6.21 inference(beta_eta_normalization,[],[f2325])).
% 46.32/6.21 thf(f2325,plain,(
% 46.32/6.21 ( ! [X2 : $i,X3 : $i,X1 : $i,X4 : $i] : (($true = (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ X2 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a3 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b2 @ Y1))))))))))) | ($true = ((^[Y0 : $i]: ((irel @ X2 @ Y0) => (a2 @ Y0))) @ X4)) | ($false = (irel @ sK1 @ X1)) | ((irel @ sK1 @ X2) = $false) | ($true = (a2 @ X3)) | ($true = (irel @ (sK4 @ X1) @ (sK5 @ X1))) | ($false = (irel @ X1 @ X3))) )),
% 46.32/6.21 inference(pi_clausification,[],[f2324])).
% 46.32/6.21 thf(f2324,plain,(
% 46.32/6.21 ( ! [X2 : $i,X3 : $i,X1 : $i] : (($true = (!! @ $i @ (^[Y0 : $i]: ((irel @ X2 @ Y0) => (a2 @ Y0))))) | ($false = (irel @ X1 @ X3)) | ($false = (irel @ sK1 @ X1)) | ((irel @ sK1 @ X2) = $false) | ($true = (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ X2 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a3 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b2 @ Y1))))))))))) | ($true = (irel @ (sK4 @ X1) @ (sK5 @ X1))) | ($true = (a2 @ X3))) )),
% 46.32/6.21 inference(binary_proxy_clausification,[],[f2300])).
% 46.32/6.21 thf(f2300,plain,(
% 46.32/6.21 ( ! [X2 : $i,X3 : $i,X1 : $i] : (((irel @ sK1 @ X2) = $false) | ($true = (irel @ (sK4 @ X1) @ (sK5 @ X1))) | ($false = (irel @ sK1 @ X1)) | ($true = ((!! @ $i @ (^[Y0 : $i]: ((irel @ X2 @ Y0) => (a2 @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ X2 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a3 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b2 @ Y1)))))))))))) | ($true = (a2 @ X3)) | ($false = (irel @ X1 @ X3))) )),
% 46.32/6.21 inference(binary_proxy_clausification,[],[f2298])).
% 46.32/6.21 thf(f2298,plain,(
% 46.32/6.21 ( ! [X2 : $i,X3 : $i,X1 : $i] : (($false = (irel @ X1 @ X3)) | ($true = (a2 @ X3)) | (((irel @ (sK4 @ X1) @ (sK5 @ X1)) => (a3 @ (sK5 @ X1))) = $false) | ($false = (irel @ sK1 @ X1)) | ($true = ((!! @ $i @ (^[Y0 : $i]: ((irel @ X2 @ Y0) => (a2 @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ X2 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a3 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b2 @ Y1)))))))))))) | ((irel @ sK1 @ X2) = $false)) )),
% 46.32/6.21 inference(beta_eta_normalization,[],[f2297])).
% 46.32/6.21 thf(f2297,plain,(
% 46.32/6.21 ( ! [X2 : $i,X3 : $i,X1 : $i] : (($false = (irel @ X1 @ X3)) | ($true = ((!! @ $i @ (^[Y0 : $i]: ((irel @ X2 @ Y0) => (a2 @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ X2 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a3 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b2 @ Y1)))))))))))) | ((irel @ sK1 @ X2) = $false) | (((^[Y0 : $i]: ((irel @ (sK4 @ X1) @ Y0) => (a3 @ Y0))) @ (sK5 @ X1)) = $false) | ($true = (a2 @ X3)) | ($false = (irel @ sK1 @ X1))) )),
% 46.32/6.21 inference(sigma_clausification,[],[f2295])).
% 46.32/6.21 thf(f2295,plain,(
% 46.32/6.21 ( ! [X2 : $i,X3 : $i,X1 : $i] : (($true = (a2 @ X3)) | ($false = (irel @ X1 @ X3)) | ((irel @ sK1 @ X2) = $false) | ($false = (irel @ sK1 @ X1)) | ((!! @ $i @ (^[Y0 : $i]: ((irel @ (sK4 @ X1) @ Y0) => (a3 @ Y0)))) = $false) | ($true = ((!! @ $i @ (^[Y0 : $i]: ((irel @ X2 @ Y0) => (a2 @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ X2 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a3 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b2 @ Y1))))))))))))) )),
% 46.32/6.21 inference(binary_proxy_clausification,[],[f2293])).
% 46.32/6.21 thf(f2293,plain,(
% 46.32/6.21 ( ! [X2 : $i,X3 : $i,X1 : $i] : (((irel @ sK1 @ X2) = $false) | ($true = (a2 @ X3)) | ($true = (((!! @ $i @ (^[Y0 : $i]: ((irel @ X2 @ Y0) => (a1 @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ X2 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a2 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b1 @ Y1))))))))))) & ((!! @ $i @ (^[Y0 : $i]: ((irel @ X2 @ Y0) => (a2 @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ X2 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a3 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b2 @ Y1))))))))))))) | ($false = (irel @ X1 @ X3)) | ((!! @ $i @ (^[Y0 : $i]: ((irel @ (sK4 @ X1) @ Y0) => (a3 @ Y0)))) = $false) | ($false = (irel @ sK1 @ X1))) )),
% 46.32/6.21 inference(binary_proxy_clausification,[],[f2212])).
% 46.32/6.21 thf(f2212,plain,(
% 46.32/6.21 ( ! [X2 : $i,X3 : $i,X1 : $i] : (($false = (irel @ sK1 @ X1)) | ($false = (irel @ X1 @ X3)) | ($true = (((!! @ $i @ (^[Y0 : $i]: ((irel @ X2 @ Y0) => (a0 @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ X2 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a1 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b0 @ Y1))))))))))) & (((!! @ $i @ (^[Y0 : $i]: ((irel @ X2 @ Y0) => (a1 @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ X2 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a2 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b1 @ Y1))))))))))) & ((!! @ $i @ (^[Y0 : $i]: ((irel @ X2 @ Y0) => (a2 @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ X2 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a3 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b2 @ Y1)))))))))))))) | ((!! @ $i @ (^[Y0 : $i]: ((irel @ (sK4 @ X1) @ Y0) => (a3 @ Y0)))) = $false) | ($true = (a2 @ X3)) | ((irel @ sK1 @ X2) = $false)) )),
% 46.32/6.21 inference(binary_proxy_clausification,[],[f2130])).
% 46.32/6.21 thf(f2130,plain,(
% 46.32/6.21 ( ! [X2 : $i,X3 : $i,X1 : $i] : (($false = (irel @ X1 @ X3)) | ((irel @ sK1 @ X2) = $false) | ($true = (a2 @ X3)) | ($false = ((!! @ $i @ (^[Y0 : $i]: ((irel @ (sK4 @ X1) @ Y0) => (a3 @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ (sK4 @ X1) @ Y0) => (b2 @ Y0))))))) | ($true = (((!! @ $i @ (^[Y0 : $i]: ((irel @ X2 @ Y0) => (a0 @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ X2 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a1 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b0 @ Y1))))))))))) & (((!! @ $i @ (^[Y0 : $i]: ((irel @ X2 @ Y0) => (a1 @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ X2 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a2 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b1 @ Y1))))))))))) & ((!! @ $i @ (^[Y0 : $i]: ((irel @ X2 @ Y0) => (a2 @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ X2 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a3 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b2 @ Y1)))))))))))))) | ($false = (irel @ sK1 @ X1))) )),
% 46.32/6.21 inference(binary_proxy_clausification,[],[f2128])).
% 46.32/6.21 thf(f2128,plain,(
% 46.32/6.21 ( ! [X2 : $i,X3 : $i,X1 : $i] : (($true = (((!! @ $i @ (^[Y0 : $i]: ((irel @ X2 @ Y0) => (a3 @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ X2 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b0 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b3 @ Y1))))))))))) & (((!! @ $i @ (^[Y0 : $i]: ((irel @ X2 @ Y0) => (a0 @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ X2 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a1 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b0 @ Y1))))))))))) & (((!! @ $i @ (^[Y0 : $i]: ((irel @ X2 @ Y0) => (a1 @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ X2 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a2 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b1 @ Y1))))))))))) & ((!! @ $i @ (^[Y0 : $i]: ((irel @ X2 @ Y0) => (a2 @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ X2 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a3 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b2 @ Y1))))))))))))))) | ($false = (irel @ sK1 @ X1)) | ($true = (a2 @ X3)) | ((irel @ sK1 @ X2) = $false) | ($false = (irel @ X1 @ X3)) | ($false = ((!! @ $i @ (^[Y0 : $i]: ((irel @ (sK4 @ X1) @ Y0) => (a3 @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ (sK4 @ X1) @ Y0) => (b2 @ Y0)))))))) )),
% 46.32/6.21 inference(binary_proxy_clausification,[],[f2127])).
% 46.32/6.21 thf(f2322,plain,(
% 46.32/6.21 spl0_7 | spl0_7),
% 46.32/6.21 inference(avatar_split_clause,[],[f2320,f188,f188])).
% 46.32/6.21 thf(f2320,plain,(
% 46.32/6.21 ( ! [X2 : $i,X3 : $i,X1 : $i,X4 : $i] : (($false = (a3 @ (sK5 @ X2))) | ($false = (a3 @ (sK5 @ X1))) | ($false = (irel @ sK1 @ X1)) | ($true = (a2 @ X3)) | ($false = (irel @ X2 @ X4)) | ((irel @ sK1 @ X2) = $false) | ($false = (irel @ X1 @ X3)) | ($true = (a2 @ X4))) )),
% 46.32/6.21 inference(binary_proxy_clausification,[],[f2319])).
% 46.32/6.21 thf(f2319,plain,(
% 46.32/6.21 ( ! [X2 : $i,X3 : $i,X1 : $i,X4 : $i] : (((irel @ sK1 @ X2) = $false) | ($false = (irel @ X1 @ X3)) | ($false = (a3 @ (sK5 @ X1))) | ($false = ((irel @ (sK4 @ X2) @ (sK5 @ X2)) => (a3 @ (sK5 @ X2)))) | ($true = (a2 @ X4)) | ($false = (irel @ sK1 @ X1)) | ($true = (a2 @ X3)) | ($false = (irel @ X2 @ X4))) )),
% 46.32/6.21 inference(beta_eta_normalization,[],[f2318])).
% 46.32/6.21 thf(f2318,plain,(
% 46.32/6.21 ( ! [X2 : $i,X3 : $i,X1 : $i,X4 : $i] : (($true = (a2 @ X4)) | ($true = (a2 @ X3)) | ((irel @ sK1 @ X2) = $false) | ($false = (irel @ X2 @ X4)) | ($false = (irel @ sK1 @ X1)) | ($false = (irel @ X1 @ X3)) | ($false = (a3 @ (sK5 @ X1))) | (((^[Y0 : $i]: ((irel @ (sK4 @ X2) @ Y0) => (a3 @ Y0))) @ (sK5 @ X2)) = $false)) )),
% 46.32/6.21 inference(sigma_clausification,[],[f2312])).
% 46.32/6.21 thf(f2312,plain,(
% 46.32/6.21 ( ! [X2 : $i,X3 : $i,X1 : $i,X4 : $i] : (((!! @ $i @ (^[Y0 : $i]: ((irel @ (sK4 @ X2) @ Y0) => (a3 @ Y0)))) = $false) | ($false = (irel @ sK1 @ X1)) | ((irel @ sK1 @ X2) = $false) | ($false = (irel @ X2 @ X4)) | ($false = (irel @ X1 @ X3)) | ($false = (a3 @ (sK5 @ X1))) | ($true = (a2 @ X3)) | ($true = (a2 @ X4))) )),
% 46.32/6.21 inference(binary_proxy_clausification,[],[f2308])).
% 46.32/6.21 thf(f2308,plain,(
% 46.32/6.21 ( ! [X2 : $i,X3 : $i,X1 : $i,X4 : $i] : (($true = (a2 @ X4)) | ($false = (irel @ sK1 @ X1)) | ($false = (a3 @ (sK5 @ X1))) | ($false = (irel @ X2 @ X4)) | ($true = (a2 @ X3)) | ($false = ((!! @ $i @ (^[Y0 : $i]: ((irel @ (sK4 @ X2) @ Y0) => (a3 @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ (sK4 @ X2) @ Y0) => (b2 @ Y0))))))) | ($false = (irel @ X1 @ X3)) | ((irel @ sK1 @ X2) = $false)) )),
% 46.32/6.21 inference(binary_proxy_clausification,[],[f2307])).
% 46.32/6.21 thf(f2307,plain,(
% 46.32/6.21 ( ! [X2 : $i,X3 : $i,X1 : $i,X4 : $i] : (($false = (a3 @ (sK5 @ X1))) | (((irel @ X2 @ (sK4 @ X2)) => ((!! @ $i @ (^[Y0 : $i]: ((irel @ (sK4 @ X2) @ Y0) => (a3 @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ (sK4 @ X2) @ Y0) => (b2 @ Y0))))))) = $false) | ($false = (irel @ X1 @ X3)) | ($false = (irel @ sK1 @ X1)) | ((irel @ sK1 @ X2) = $false) | ($true = (a2 @ X3)) | ($false = (irel @ X2 @ X4)) | ($true = (a2 @ X4))) )),
% 46.32/6.21 inference(binary_proxy_clausification,[],[f2306])).
% 46.32/6.21 thf(f2306,plain,(
% 46.32/6.21 ( ! [X2 : $i,X3 : $i,X1 : $i,X4 : $i] : (($false = (a3 @ (sK5 @ X1))) | ($true = (a2 @ X3)) | ($false = (irel @ X1 @ X3)) | ($true = ((irel @ X2 @ X4) => (a2 @ X4))) | (((irel @ X2 @ (sK4 @ X2)) => ((!! @ $i @ (^[Y0 : $i]: ((irel @ (sK4 @ X2) @ Y0) => (a3 @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ (sK4 @ X2) @ Y0) => (b2 @ Y0))))))) = $false) | ((irel @ sK1 @ X2) = $false) | ($false = (irel @ sK1 @ X1))) )),
% 46.32/6.21 inference(beta_eta_normalization,[],[f2305])).
% 46.32/6.21 thf(f2305,plain,(
% 46.32/6.21 ( ! [X2 : $i,X3 : $i,X1 : $i,X4 : $i] : (($true = (a2 @ X3)) | ($false = (irel @ sK1 @ X1)) | ($false = (a3 @ (sK5 @ X1))) | ($false = (irel @ X1 @ X3)) | ($true = ((^[Y0 : $i]: ((irel @ X2 @ Y0) => (a2 @ Y0))) @ X4)) | (((irel @ X2 @ (sK4 @ X2)) => ((!! @ $i @ (^[Y0 : $i]: ((irel @ (sK4 @ X2) @ Y0) => (a3 @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ (sK4 @ X2) @ Y0) => (b2 @ Y0))))))) = $false) | ((irel @ sK1 @ X2) = $false)) )),
% 46.32/6.21 inference(pi_clausification,[],[f2304])).
% 46.32/6.21 thf(f2304,plain,(
% 46.32/6.21 ( ! [X2 : $i,X3 : $i,X1 : $i] : (((irel @ sK1 @ X2) = $false) | ($true = (a2 @ X3)) | ($true = (!! @ $i @ (^[Y0 : $i]: ((irel @ X2 @ Y0) => (a2 @ Y0))))) | ($false = (a3 @ (sK5 @ X1))) | ($false = (irel @ X1 @ X3)) | (((irel @ X2 @ (sK4 @ X2)) => ((!! @ $i @ (^[Y0 : $i]: ((irel @ (sK4 @ X2) @ Y0) => (a3 @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ (sK4 @ X2) @ Y0) => (b2 @ Y0))))))) = $false) | ($false = (irel @ sK1 @ X1))) )),
% 46.32/6.21 inference(beta_eta_normalization,[],[f2303])).
% 46.32/6.21 thf(f2303,plain,(
% 46.32/6.21 ( ! [X2 : $i,X3 : $i,X1 : $i] : (($false = (irel @ sK1 @ X1)) | ($true = (a2 @ X3)) | ($false = (a3 @ (sK5 @ X1))) | ((irel @ sK1 @ X2) = $false) | ($false = ((^[Y0 : $i]: ((irel @ X2 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a3 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b2 @ Y1)))))))) @ (sK4 @ X2))) | ($true = (!! @ $i @ (^[Y0 : $i]: ((irel @ X2 @ Y0) => (a2 @ Y0))))) | ($false = (irel @ X1 @ X3))) )),
% 46.32/6.21 inference(sigma_clausification,[],[f2302])).
% 46.32/6.21 thf(f2302,plain,(
% 46.32/6.21 ( ! [X2 : $i,X3 : $i,X1 : $i] : (((!! @ $i @ (^[Y0 : $i]: ((irel @ X2 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a3 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b2 @ Y1))))))))) = $false) | ($true = (!! @ $i @ (^[Y0 : $i]: ((irel @ X2 @ Y0) => (a2 @ Y0))))) | ($true = (a2 @ X3)) | ((irel @ sK1 @ X2) = $false) | ($false = (a3 @ (sK5 @ X1))) | ($false = (irel @ sK1 @ X1)) | ($false = (irel @ X1 @ X3))) )),
% 46.32/6.21 inference(not_proxy_clausification,[],[f2301])).
% 46.32/6.21 thf(f2301,plain,(
% 46.32/6.21 ( ! [X2 : $i,X3 : $i,X1 : $i] : (((irel @ sK1 @ X2) = $false) | ($false = (irel @ sK1 @ X1)) | ($false = (irel @ X1 @ X3)) | ($true = (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ X2 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a3 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b2 @ Y1))))))))))) | ($false = (a3 @ (sK5 @ X1))) | ($true = (!! @ $i @ (^[Y0 : $i]: ((irel @ X2 @ Y0) => (a2 @ Y0))))) | ($true = (a2 @ X3))) )),
% 46.32/6.21 inference(binary_proxy_clausification,[],[f2299])).
% 46.32/6.21 thf(f2299,plain,(
% 46.32/6.21 ( ! [X2 : $i,X3 : $i,X1 : $i] : (($false = (irel @ X1 @ X3)) | ((irel @ sK1 @ X2) = $false) | ($true = ((!! @ $i @ (^[Y0 : $i]: ((irel @ X2 @ Y0) => (a2 @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ X2 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a3 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b2 @ Y1)))))))))))) | ($true = (a2 @ X3)) | ($false = (a3 @ (sK5 @ X1))) | ($false = (irel @ sK1 @ X1))) )),
% 46.32/6.21 inference(binary_proxy_clausification,[],[f2298])).
% 46.32/6.21 thf(f2012,plain,(
% 46.32/6.21 spl0_3 | spl0_3),
% 46.32/6.21 inference(avatar_split_clause,[],[f2010,f138,f138])).
% 46.32/6.21 thf(f2010,plain,(
% 46.32/6.21 ( ! [X2 : $i,X3 : $i,X1 : $i,X4 : $i] : (($true = (f @ X3)) | ((a0 @ (sK3 @ X1)) = $false) | ((irel @ X1 @ X4) = $false) | ($false = (a0 @ (sK3 @ X2))) | ($false = (irel @ X2 @ X3)) | ($false = (irel @ sK1 @ X1)) | ($true = (f @ X4)) | ((irel @ sK1 @ X2) = $false)) )),
% 46.32/6.21 inference(binary_proxy_clausification,[],[f2009])).
% 46.32/6.21 thf(f2009,plain,(
% 46.32/6.21 ( ! [X2 : $i,X3 : $i,X1 : $i,X4 : $i] : (($false = ((irel @ X1 @ (sK3 @ X1)) => (a0 @ (sK3 @ X1)))) | ($false = (irel @ sK1 @ X1)) | ($true = (f @ X3)) | ((irel @ X1 @ X4) = $false) | ($false = (a0 @ (sK3 @ X2))) | ((irel @ sK1 @ X2) = $false) | ($true = (f @ X4)) | ($false = (irel @ X2 @ X3))) )),
% 46.32/6.21 inference(beta_eta_normalization,[],[f2008])).
% 46.32/6.21 thf(f2008,plain,(
% 46.32/6.21 ( ! [X2 : $i,X3 : $i,X1 : $i,X4 : $i] : (($false = (a0 @ (sK3 @ X2))) | ($false = (irel @ sK1 @ X1)) | ((irel @ X1 @ X4) = $false) | ($false = ((^[Y0 : $i]: ((irel @ X1 @ Y0) => (a0 @ Y0))) @ (sK3 @ X1))) | ($true = (f @ X3)) | ($true = (f @ X4)) | ((irel @ sK1 @ X2) = $false) | ($false = (irel @ X2 @ X3))) )),
% 46.32/6.21 inference(sigma_clausification,[],[f2000])).
% 46.32/6.21 thf(f2000,plain,(
% 46.32/6.21 ( ! [X2 : $i,X3 : $i,X1 : $i,X4 : $i] : (((irel @ sK1 @ X2) = $false) | ($false = (irel @ X2 @ X3)) | ($true = (f @ X3)) | ($false = (a0 @ (sK3 @ X2))) | ($true = (f @ X4)) | ($false = (irel @ sK1 @ X1)) | ($false = (!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => (a0 @ Y0))))) | ((irel @ X1 @ X4) = $false)) )),
% 46.32/6.21 inference(binary_proxy_clausification,[],[f1999])).
% 46.32/6.21 thf(f1999,plain,(
% 46.32/6.21 ( ! [X2 : $i,X3 : $i,X1 : $i,X4 : $i] : (((irel @ sK1 @ X2) = $false) | ($false = ((irel @ X2 @ (sK3 @ X2)) => (a0 @ (sK3 @ X2)))) | ($false = (irel @ X2 @ X3)) | ($false = (irel @ sK1 @ X1)) | ($true = (f @ X3)) | ($true = (f @ X4)) | ($false = (!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => (a0 @ Y0))))) | ((irel @ X1 @ X4) = $false)) )),
% 46.32/6.21 inference(beta_eta_normalization,[],[f1998])).
% 46.32/6.21 thf(f1998,plain,(
% 46.32/6.21 ( ! [X2 : $i,X3 : $i,X1 : $i,X4 : $i] : (((irel @ sK1 @ X2) = $false) | ($false = (irel @ X2 @ X3)) | ($false = (irel @ sK1 @ X1)) | ($true = (f @ X4)) | ($false = (!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => (a0 @ Y0))))) | ($false = ((^[Y0 : $i]: ((irel @ X2 @ Y0) => (a0 @ Y0))) @ (sK3 @ X2))) | ((irel @ X1 @ X4) = $false) | ($true = (f @ X3))) )),
% 46.32/6.21 inference(sigma_clausification,[],[f1997])).
% 46.32/6.21 thf(f1997,plain,(
% 46.32/6.21 ( ! [X2 : $i,X3 : $i,X1 : $i,X4 : $i] : (((irel @ X1 @ X4) = $false) | ($true = (f @ X3)) | ($false = (!! @ $i @ (^[Y0 : $i]: ((irel @ X2 @ Y0) => (a0 @ Y0))))) | ((irel @ sK1 @ X2) = $false) | ($false = (irel @ sK1 @ X1)) | ($false = (!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => (a0 @ Y0))))) | ($false = (irel @ X2 @ X3)) | ($true = (f @ X4))) )),
% 46.32/6.21 inference(binary_proxy_clausification,[],[f1996])).
% 46.32/6.21 thf(f1996,plain,(
% 46.32/6.21 ( ! [X2 : $i,X3 : $i,X1 : $i,X4 : $i] : (($true = ((irel @ X2 @ X3) => (f @ X3))) | ($false = (!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => (a0 @ Y0))))) | ($false = (irel @ sK1 @ X1)) | ($false = (!! @ $i @ (^[Y0 : $i]: ((irel @ X2 @ Y0) => (a0 @ Y0))))) | ((irel @ X1 @ X4) = $false) | ((irel @ sK1 @ X2) = $false) | ($true = (f @ X4))) )),
% 46.32/6.21 inference(binary_proxy_clausification,[],[f1995])).
% 46.32/6.21 thf(f1995,plain,(
% 46.32/6.21 ( ! [X2 : $i,X3 : $i,X1 : $i,X4 : $i] : (($true = ((irel @ X1 @ X4) => (f @ X4))) | ((irel @ sK1 @ X2) = $false) | ($false = (irel @ sK1 @ X1)) | ($true = ((irel @ X2 @ X3) => (f @ X3))) | ($false = (!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => (a0 @ Y0))))) | ($false = (!! @ $i @ (^[Y0 : $i]: ((irel @ X2 @ Y0) => (a0 @ Y0)))))) )),
% 46.32/6.21 inference(beta_eta_normalization,[],[f1994])).
% 46.32/6.21 thf(f1994,plain,(
% 46.32/6.21 ( ! [X2 : $i,X3 : $i,X1 : $i,X4 : $i] : (($true = ((irel @ X2 @ X3) => (f @ X3))) | ($true = ((^[Y0 : $i]: ((irel @ X1 @ Y0) => (f @ Y0))) @ X4)) | ($false = (!! @ $i @ (^[Y0 : $i]: ((irel @ X2 @ Y0) => (a0 @ Y0))))) | ($false = (irel @ sK1 @ X1)) | ($false = (!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => (a0 @ Y0))))) | ((irel @ sK1 @ X2) = $false)) )),
% 46.32/6.21 inference(pi_clausification,[],[f1993])).
% 46.32/6.21 thf(f1993,plain,(
% 46.32/6.21 ( ! [X2 : $i,X3 : $i,X1 : $i] : (($false = (irel @ sK1 @ X1)) | ((irel @ sK1 @ X2) = $false) | ($true = (!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => (f @ Y0))))) | ($false = (!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => (a0 @ Y0))))) | ($true = ((irel @ X2 @ X3) => (f @ X3))) | ($false = (!! @ $i @ (^[Y0 : $i]: ((irel @ X2 @ Y0) => (a0 @ Y0)))))) )),
% 46.32/6.21 inference(not_proxy_clausification,[],[f1992])).
% 46.32/6.21 thf(f1992,plain,(
% 46.32/6.21 ( ! [X2 : $i,X3 : $i,X1 : $i] : (((~ (!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => (a0 @ Y0))))) = $true) | ($false = (!! @ $i @ (^[Y0 : $i]: ((irel @ X2 @ Y0) => (a0 @ Y0))))) | ($false = (irel @ sK1 @ X1)) | ((irel @ sK1 @ X2) = $false) | ($true = ((irel @ X2 @ X3) => (f @ X3))) | ($true = (!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => (f @ Y0)))))) )),
% 46.32/6.21 inference(binary_proxy_clausification,[],[f1990])).
% 46.32/6.21 thf(f1990,plain,(
% 46.32/6.21 ( ! [X2 : $i,X3 : $i,X1 : $i] : (((irel @ sK1 @ X2) = $false) | ($true = ((!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => (f @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => (a0 @ Y0))))))) | ($false = (irel @ sK1 @ X1)) | ($false = (!! @ $i @ (^[Y0 : $i]: ((irel @ X2 @ Y0) => (a0 @ Y0))))) | ($true = ((irel @ X2 @ X3) => (f @ X3)))) )),
% 46.32/6.21 inference(binary_proxy_clausification,[],[f1989])).
% 46.32/6.21 thf(f1989,plain,(
% 46.32/6.21 ( ! [X2 : $i,X3 : $i,X1 : $i] : (($true = (((!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => (a3 @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b0 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b3 @ Y1))))))))))) & ((!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => (f @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => (a0 @ Y0)))))))) | ($false = (irel @ sK1 @ X1)) | ($true = ((irel @ X2 @ X3) => (f @ X3))) | ((irel @ sK1 @ X2) = $false) | ($false = (!! @ $i @ (^[Y0 : $i]: ((irel @ X2 @ Y0) => (a0 @ Y0)))))) )),
% 46.32/6.21 inference(beta_eta_normalization,[],[f1988])).
% 46.32/6.21 thf(f1988,plain,(
% 46.32/6.21 ( ! [X2 : $i,X3 : $i,X1 : $i] : (($true = ((^[Y0 : $i]: ((irel @ X2 @ Y0) => (f @ Y0))) @ X3)) | ((irel @ sK1 @ X2) = $false) | ($true = (((!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => (a3 @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b0 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b3 @ Y1))))))))))) & ((!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => (f @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => (a0 @ Y0)))))))) | ($false = (irel @ sK1 @ X1)) | ($false = (!! @ $i @ (^[Y0 : $i]: ((irel @ X2 @ Y0) => (a0 @ Y0)))))) )),
% 46.32/6.21 inference(pi_clausification,[],[f1986])).
% 46.32/6.21 thf(f1986,plain,(
% 46.32/6.21 ( ! [X2 : $i,X1 : $i] : (($true = (!! @ $i @ (^[Y0 : $i]: ((irel @ X2 @ Y0) => (f @ Y0))))) | ($false = (!! @ $i @ (^[Y0 : $i]: ((irel @ X2 @ Y0) => (a0 @ Y0))))) | ((irel @ sK1 @ X2) = $false) | ($false = (irel @ sK1 @ X1)) | ($true = (((!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => (a3 @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b0 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b3 @ Y1))))))))))) & ((!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => (f @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => (a0 @ Y0))))))))) )),
% 46.32/6.21 inference(binary_proxy_clausification,[],[f1938])).
% 46.32/6.21 thf(f1938,plain,(
% 46.32/6.21 ( ! [X2 : $i,X1 : $i] : (((irel @ sK1 @ X2) = $false) | ($true = (((!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => (a0 @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a1 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b0 @ Y1))))))))))) & (((!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => (a3 @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b0 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b3 @ Y1))))))))))) & ((!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => (f @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => (a0 @ Y0))))))))) | ($false = (irel @ sK1 @ X1)) | ($false = (!! @ $i @ (^[Y0 : $i]: ((irel @ X2 @ Y0) => (a0 @ Y0))))) | ($true = (!! @ $i @ (^[Y0 : $i]: ((irel @ X2 @ Y0) => (f @ Y0)))))) )),
% 46.32/6.21 inference(binary_proxy_clausification,[],[f1937])).
% 46.32/6.21 thf(f1937,plain,(
% 46.32/6.21 ( ! [X2 : $i,X1 : $i] : (($false = (irel @ sK1 @ X1)) | ((irel @ sK1 @ X2) = $false) | ($true = (((!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => (a1 @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a2 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b1 @ Y1))))))))))) & (((!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => (a0 @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a1 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b0 @ Y1))))))))))) & (((!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => (a3 @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b0 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b3 @ Y1))))))))))) & ((!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => (f @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => (a0 @ Y0)))))))))) | ($true = (!! @ $i @ (^[Y0 : $i]: ((irel @ X2 @ Y0) => (f @ Y0))))) | ($false = (!! @ $i @ (^[Y0 : $i]: ((irel @ X2 @ Y0) => (a0 @ Y0)))))) )),
% 46.32/6.21 inference(not_proxy_clausification,[],[f1936])).
% 46.32/6.21 thf(f1936,plain,(
% 46.32/6.21 ( ! [X2 : $i,X1 : $i] : (((irel @ sK1 @ X2) = $false) | ($true = (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ X2 @ Y0) => (a0 @ Y0)))))) | ($true = (((!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => (a1 @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a2 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b1 @ Y1))))))))))) & (((!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => (a0 @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a1 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b0 @ Y1))))))))))) & (((!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => (a3 @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b0 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b3 @ Y1))))))))))) & ((!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => (f @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => (a0 @ Y0)))))))))) | ($true = (!! @ $i @ (^[Y0 : $i]: ((irel @ X2 @ Y0) => (f @ Y0))))) | ($false = (irel @ sK1 @ X1))) )),
% 46.32/6.21 inference(binary_proxy_clausification,[],[f435])).
% 46.32/6.21 thf(f435,plain,(
% 46.32/6.21 ( ! [X2 : $i,X1 : $i] : (($false = (irel @ sK1 @ X1)) | ($true = ((!! @ $i @ (^[Y0 : $i]: ((irel @ X2 @ Y0) => (f @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ X2 @ Y0) => (a0 @ Y0))))))) | ($true = (((!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => (a1 @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a2 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b1 @ Y1))))))))))) & (((!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => (a0 @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a1 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b0 @ Y1))))))))))) & (((!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => (a3 @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b0 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b3 @ Y1))))))))))) & ((!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => (f @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => (a0 @ Y0)))))))))) | ((irel @ sK1 @ X2) = $false)) )),
% 46.32/6.21 inference(binary_proxy_clausification,[],[f432])).
% 46.32/6.21 thf(f432,plain,(
% 46.32/6.21 ( ! [X2 : $i,X1 : $i] : (($false = (irel @ sK1 @ X1)) | ($true = (((!! @ $i @ (^[Y0 : $i]: ((irel @ X2 @ Y0) => (f @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ X2 @ Y0) => (a0 @ Y0)))))) & (((!! @ $i @ (^[Y0 : $i]: ((irel @ X2 @ Y0) => (a3 @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ X2 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b0 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b3 @ Y1))))))))))) & (((!! @ $i @ (^[Y0 : $i]: ((irel @ X2 @ Y0) => (a0 @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ X2 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a1 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b0 @ Y1))))))))))) & (((!! @ $i @ (^[Y0 : $i]: ((irel @ X2 @ Y0) => (a1 @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ X2 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a2 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b1 @ Y1))))))))))) & ((!! @ $i @ (^[Y0 : $i]: ((irel @ X2 @ Y0) => (a2 @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ X2 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a3 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b2 @ Y1)))))))))))))))) | ((irel @ sK1 @ X2) = $false) | ($true = (((!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => (a1 @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a2 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b1 @ Y1))))))))))) & (((!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => (a0 @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a1 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b0 @ Y1))))))))))) & (((!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => (a3 @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b0 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b3 @ Y1))))))))))) & ((!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => (f @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => (a0 @ Y0))))))))))) )),
% 46.32/6.21 inference(binary_proxy_clausification,[],[f431])).
% 46.32/6.21 thf(f2006,plain,(
% 46.32/6.21 spl0_1 | spl0_1),
% 46.32/6.21 inference(avatar_split_clause,[],[f2005,f130,f130])).
% 46.32/6.21 thf(f2005,plain,(
% 46.32/6.21 ( ! [X2 : $i,X3 : $i,X1 : $i,X4 : $i] : (($true = (f @ X4)) | ($false = (irel @ sK1 @ X1)) | ($true = (irel @ X1 @ (sK3 @ X1))) | ($true = (f @ X3)) | ($true = (irel @ X2 @ (sK3 @ X2))) | ($false = (irel @ X2 @ X3)) | ((irel @ X1 @ X4) = $false) | ((irel @ sK1 @ X2) = $false)) )),
% 46.32/6.21 inference(binary_proxy_clausification,[],[f2003])).
% 46.32/6.21 thf(f2003,plain,(
% 46.32/6.21 ( ! [X2 : $i,X3 : $i,X1 : $i,X4 : $i] : (((irel @ sK1 @ X2) = $false) | ($true = (f @ X3)) | ((irel @ X1 @ X4) = $false) | ($false = (irel @ X2 @ X3)) | ($true = (irel @ X2 @ (sK3 @ X2))) | ($true = (f @ X4)) | ($false = ((irel @ X1 @ (sK3 @ X1)) => (a0 @ (sK3 @ X1)))) | ($false = (irel @ sK1 @ X1))) )),
% 46.32/6.21 inference(beta_eta_normalization,[],[f2002])).
% 46.32/6.21 thf(f2002,plain,(
% 46.32/6.21 ( ! [X2 : $i,X3 : $i,X1 : $i,X4 : $i] : (($true = (f @ X3)) | ($false = ((^[Y0 : $i]: ((irel @ X1 @ Y0) => (a0 @ Y0))) @ (sK3 @ X1))) | ((irel @ X1 @ X4) = $false) | ((irel @ sK1 @ X2) = $false) | ($false = (irel @ sK1 @ X1)) | ($true = (f @ X4)) | ($true = (irel @ X2 @ (sK3 @ X2))) | ($false = (irel @ X2 @ X3))) )),
% 46.32/6.21 inference(sigma_clausification,[],[f2001])).
% 46.32/6.21 thf(f2001,plain,(
% 46.32/6.21 ( ! [X2 : $i,X3 : $i,X1 : $i,X4 : $i] : (((irel @ X1 @ X4) = $false) | ($true = (f @ X4)) | ($true = (irel @ X2 @ (sK3 @ X2))) | ($false = (!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => (a0 @ Y0))))) | ($false = (irel @ X2 @ X3)) | ($true = (f @ X3)) | ((irel @ sK1 @ X2) = $false) | ($false = (irel @ sK1 @ X1))) )),
% 46.32/6.21 inference(binary_proxy_clausification,[],[f1999])).
% 46.32/6.21 thf(f1760,plain,(
% 46.32/6.21 spl0_16 | spl0_16),
% 46.32/6.21 inference(avatar_split_clause,[],[f1746,f273,f273])).
% 46.32/6.21 thf(f1746,plain,(
% 46.32/6.21 ( ! [X2 : $i,X3 : $i,X1 : $i,X4 : $i] : (($true = (a3 @ X4)) | ($true = (irel @ X1 @ (sK10 @ X1))) | ($false = (irel @ sK1 @ X1)) | ((irel @ sK1 @ X2) = $false) | ((irel @ X1 @ X4) = $false) | ($false = (irel @ X2 @ X3)) | ($true = (a3 @ X3)) | ($true = (irel @ X2 @ (sK10 @ X2)))) )),
% 46.32/6.21 inference(binary_proxy_clausification,[],[f1744])).
% 46.32/6.21 thf(f1744,plain,(
% 46.32/6.21 ( ! [X2 : $i,X3 : $i,X1 : $i,X4 : $i] : (((irel @ sK1 @ X2) = $false) | (((irel @ X1 @ (sK10 @ X1)) => ((!! @ $i @ (^[Y0 : $i]: ((irel @ (sK10 @ X1) @ Y0) => (b0 @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ (sK10 @ X1) @ Y0) => (b3 @ Y0))))))) = $false) | ($true = (a3 @ X4)) | ($true = (a3 @ X3)) | ($true = (irel @ X2 @ (sK10 @ X2))) | ((irel @ X1 @ X4) = $false) | ($false = (irel @ sK1 @ X1)) | ($false = (irel @ X2 @ X3))) )),
% 46.32/6.21 inference(beta_eta_normalization,[],[f1743])).
% 46.32/6.21 thf(f1743,plain,(
% 46.32/6.21 ( ! [X2 : $i,X3 : $i,X1 : $i,X4 : $i] : (($false = ((^[Y0 : $i]: ((irel @ X1 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b0 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b3 @ Y1)))))))) @ (sK10 @ X1))) | ($false = (irel @ sK1 @ X1)) | ((irel @ sK1 @ X2) = $false) | ($true = (irel @ X2 @ (sK10 @ X2))) | ((irel @ X1 @ X4) = $false) | ($false = (irel @ X2 @ X3)) | ($true = (a3 @ X4)) | ($true = (a3 @ X3))) )),
% 46.32/6.21 inference(sigma_clausification,[],[f1742])).
% 46.32/6.21 thf(f1742,plain,(
% 46.32/6.21 ( ! [X2 : $i,X3 : $i,X1 : $i,X4 : $i] : (((irel @ X1 @ X4) = $false) | ($true = (a3 @ X4)) | ((irel @ sK1 @ X2) = $false) | ($false = (!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b0 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b3 @ Y1)))))))))) | ($true = (a3 @ X3)) | ($true = (irel @ X2 @ (sK10 @ X2))) | ($false = (irel @ sK1 @ X1)) | ($false = (irel @ X2 @ X3))) )),
% 46.32/6.21 inference(binary_proxy_clausification,[],[f1741])).
% 46.32/6.21 thf(f1741,plain,(
% 46.32/6.21 ( ! [X2 : $i,X3 : $i,X1 : $i,X4 : $i] : (($true = ((irel @ X1 @ X4) => (a3 @ X4))) | ($true = (irel @ X2 @ (sK10 @ X2))) | ($true = (a3 @ X3)) | ($false = (irel @ X2 @ X3)) | ($false = (irel @ sK1 @ X1)) | ($false = (!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b0 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b3 @ Y1)))))))))) | ((irel @ sK1 @ X2) = $false)) )),
% 46.32/6.21 inference(not_proxy_clausification,[],[f1740])).
% 46.32/6.21 thf(f1740,plain,(
% 46.32/6.21 ( ! [X2 : $i,X3 : $i,X1 : $i,X4 : $i] : (($true = (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b0 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b3 @ Y1))))))))))) | ($false = (irel @ sK1 @ X1)) | ($true = (a3 @ X3)) | ((irel @ sK1 @ X2) = $false) | ($true = ((irel @ X1 @ X4) => (a3 @ X4))) | ($false = (irel @ X2 @ X3)) | ($true = (irel @ X2 @ (sK10 @ X2)))) )),
% 46.32/6.21 inference(binary_proxy_clausification,[],[f1739])).
% 46.32/6.21 thf(f1739,plain,(
% 46.32/6.21 ( ! [X2 : $i,X3 : $i,X1 : $i,X4 : $i] : (($true = ((irel @ X2 @ X3) => (a3 @ X3))) | ($true = ((irel @ X1 @ X4) => (a3 @ X4))) | ($true = (irel @ X2 @ (sK10 @ X2))) | ($true = (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b0 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b3 @ Y1))))))))))) | ($false = (irel @ sK1 @ X1)) | ((irel @ sK1 @ X2) = $false)) )),
% 46.32/6.21 inference(beta_eta_normalization,[],[f1738])).
% 46.32/6.21 thf(f1738,plain,(
% 46.32/6.21 ( ! [X2 : $i,X3 : $i,X1 : $i,X4 : $i] : (($true = ((irel @ X2 @ X3) => (a3 @ X3))) | ((irel @ sK1 @ X2) = $false) | ($false = (irel @ sK1 @ X1)) | ($true = (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b0 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b3 @ Y1))))))))))) | ($true = (irel @ X2 @ (sK10 @ X2))) | ($true = ((^[Y0 : $i]: ((irel @ X1 @ Y0) => (a3 @ Y0))) @ X4))) )),
% 46.32/6.21 inference(pi_clausification,[],[f1737])).
% 46.32/6.21 thf(f1737,plain,(
% 46.32/6.21 ( ! [X2 : $i,X3 : $i,X1 : $i] : (($false = (irel @ sK1 @ X1)) | ($true = (irel @ X2 @ (sK10 @ X2))) | ((irel @ sK1 @ X2) = $false) | ($true = (!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => (a3 @ Y0))))) | ($true = (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b0 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b3 @ Y1))))))))))) | ($true = ((irel @ X2 @ X3) => (a3 @ X3)))) )),
% 46.32/6.21 inference(binary_proxy_clausification,[],[f1661])).
% 46.32/6.21 thf(f1661,plain,(
% 46.32/6.21 ( ! [X2 : $i,X3 : $i,X1 : $i] : (($true = ((!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => (a3 @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b0 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b3 @ Y1)))))))))))) | ($false = (irel @ sK1 @ X1)) | ($true = (irel @ X2 @ (sK10 @ X2))) | ((irel @ sK1 @ X2) = $false) | ($true = ((irel @ X2 @ X3) => (a3 @ X3)))) )),
% 46.32/6.21 inference(binary_proxy_clausification,[],[f1659])).
% 46.32/6.21 thf(f1659,plain,(
% 46.32/6.21 ( ! [X2 : $i,X3 : $i,X1 : $i] : (($false = ((irel @ X2 @ (sK10 @ X2)) => ((!! @ $i @ (^[Y0 : $i]: ((irel @ (sK10 @ X2) @ Y0) => (b0 @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ (sK10 @ X2) @ Y0) => (b3 @ Y0)))))))) | ((irel @ sK1 @ X2) = $false) | ($false = (irel @ sK1 @ X1)) | ($true = ((irel @ X2 @ X3) => (a3 @ X3))) | ($true = ((!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => (a3 @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b0 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b3 @ Y1))))))))))))) )),
% 46.32/6.21 inference(beta_eta_normalization,[],[f1658])).
% 46.32/6.21 thf(f1658,plain,(
% 46.32/6.21 ( ! [X2 : $i,X3 : $i,X1 : $i] : (($false = ((irel @ X2 @ (sK10 @ X2)) => ((!! @ $i @ (^[Y0 : $i]: ((irel @ (sK10 @ X2) @ Y0) => (b0 @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ (sK10 @ X2) @ Y0) => (b3 @ Y0)))))))) | ($false = (irel @ sK1 @ X1)) | ((irel @ sK1 @ X2) = $false) | ($true = ((^[Y0 : $i]: ((irel @ X2 @ Y0) => (a3 @ Y0))) @ X3)) | ($true = ((!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => (a3 @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b0 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b3 @ Y1))))))))))))) )),
% 46.32/6.21 inference(pi_clausification,[],[f1657])).
% 46.32/6.21 thf(f1657,plain,(
% 46.32/6.21 ( ! [X2 : $i,X1 : $i] : (((irel @ sK1 @ X2) = $false) | ($true = (!! @ $i @ (^[Y0 : $i]: ((irel @ X2 @ Y0) => (a3 @ Y0))))) | ($false = ((irel @ X2 @ (sK10 @ X2)) => ((!! @ $i @ (^[Y0 : $i]: ((irel @ (sK10 @ X2) @ Y0) => (b0 @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ (sK10 @ X2) @ Y0) => (b3 @ Y0)))))))) | ($true = ((!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => (a3 @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b0 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b3 @ Y1)))))))))))) | ($false = (irel @ sK1 @ X1))) )),
% 46.32/6.21 inference(binary_proxy_clausification,[],[f1655])).
% 46.32/6.21 thf(f1655,plain,(
% 46.32/6.21 ( ! [X2 : $i,X1 : $i] : (($true = (((!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => (a3 @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b0 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b3 @ Y1))))))))))) & ((!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => (f @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => (a0 @ Y0)))))))) | ($true = (!! @ $i @ (^[Y0 : $i]: ((irel @ X2 @ Y0) => (a3 @ Y0))))) | ((irel @ sK1 @ X2) = $false) | ($false = ((irel @ X2 @ (sK10 @ X2)) => ((!! @ $i @ (^[Y0 : $i]: ((irel @ (sK10 @ X2) @ Y0) => (b0 @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ (sK10 @ X2) @ Y0) => (b3 @ Y0)))))))) | ($false = (irel @ sK1 @ X1))) )),
% 46.32/6.21 inference(beta_eta_normalization,[],[f1654])).
% 46.32/6.21 thf(f1654,plain,(
% 46.32/6.21 ( ! [X2 : $i,X1 : $i] : (($true = (((!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => (a3 @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b0 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b3 @ Y1))))))))))) & ((!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => (f @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => (a0 @ Y0)))))))) | ($false = (irel @ sK1 @ X1)) | ((irel @ sK1 @ X2) = $false) | ($true = (!! @ $i @ (^[Y0 : $i]: ((irel @ X2 @ Y0) => (a3 @ Y0))))) | (((^[Y0 : $i]: ((irel @ X2 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b0 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b3 @ Y1)))))))) @ (sK10 @ X2)) = $false)) )),
% 46.32/6.21 inference(sigma_clausification,[],[f1653])).
% 46.32/6.21 thf(f1653,plain,(
% 46.32/6.21 ( ! [X2 : $i,X1 : $i] : (((irel @ sK1 @ X2) = $false) | ($false = (!! @ $i @ (^[Y0 : $i]: ((irel @ X2 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b0 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b3 @ Y1)))))))))) | ($true = (!! @ $i @ (^[Y0 : $i]: ((irel @ X2 @ Y0) => (a3 @ Y0))))) | ($true = (((!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => (a3 @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b0 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b3 @ Y1))))))))))) & ((!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => (f @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => (a0 @ Y0)))))))) | ($false = (irel @ sK1 @ X1))) )),
% 46.32/6.21 inference(not_proxy_clausification,[],[f1547])).
% 46.32/6.21 thf(f1547,plain,(
% 46.32/6.21 ( ! [X2 : $i,X1 : $i] : (($true = (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ X2 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b0 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b3 @ Y1))))))))))) | ($true = (!! @ $i @ (^[Y0 : $i]: ((irel @ X2 @ Y0) => (a3 @ Y0))))) | ($true = (((!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => (a3 @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b0 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b3 @ Y1))))))))))) & ((!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => (f @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => (a0 @ Y0)))))))) | ($false = (irel @ sK1 @ X1)) | ((irel @ sK1 @ X2) = $false)) )),
% 46.32/6.21 inference(binary_proxy_clausification,[],[f1545])).
% 46.32/6.21 thf(f1545,plain,(
% 46.32/6.21 ( ! [X2 : $i,X1 : $i] : (($false = (irel @ sK1 @ X1)) | ((irel @ sK1 @ X2) = $false) | ($true = (((!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => (a0 @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a1 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b0 @ Y1))))))))))) & (((!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => (a3 @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b0 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b3 @ Y1))))))))))) & ((!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => (f @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => (a0 @ Y0))))))))) | ($true = (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ X2 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b0 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b3 @ Y1))))))))))) | ($true = (!! @ $i @ (^[Y0 : $i]: ((irel @ X2 @ Y0) => (a3 @ Y0)))))) )),
% 46.32/6.21 inference(binary_proxy_clausification,[],[f1544])).
% 46.32/6.21 thf(f1544,plain,(
% 46.32/6.21 ( ! [X2 : $i,X1 : $i] : (($false = (irel @ sK1 @ X1)) | ($true = (((!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => (a1 @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a2 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b1 @ Y1))))))))))) & (((!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => (a0 @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a1 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b0 @ Y1))))))))))) & (((!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => (a3 @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b0 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b3 @ Y1))))))))))) & ((!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => (f @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => (a0 @ Y0)))))))))) | ((irel @ sK1 @ X2) = $false) | ($true = (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ X2 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b0 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b3 @ Y1))))))))))) | ($true = (!! @ $i @ (^[Y0 : $i]: ((irel @ X2 @ Y0) => (a3 @ Y0)))))) )),
% 46.32/6.21 inference(binary_proxy_clausification,[],[f437])).
% 46.32/6.21 thf(f437,plain,(
% 46.32/6.21 ( ! [X2 : $i,X1 : $i] : (((irel @ sK1 @ X2) = $false) | ($true = ((!! @ $i @ (^[Y0 : $i]: ((irel @ X2 @ Y0) => (a3 @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ X2 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b0 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b3 @ Y1)))))))))))) | ($false = (irel @ sK1 @ X1)) | ($true = (((!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => (a1 @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a2 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b1 @ Y1))))))))))) & (((!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => (a0 @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a1 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b0 @ Y1))))))))))) & (((!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => (a3 @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b0 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b3 @ Y1))))))))))) & ((!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => (f @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => (a0 @ Y0))))))))))) )),
% 46.32/6.21 inference(binary_proxy_clausification,[],[f434])).
% 46.32/6.21 thf(f434,plain,(
% 46.32/6.21 ( ! [X2 : $i,X1 : $i] : (((irel @ sK1 @ X2) = $false) | ($true = (((!! @ $i @ (^[Y0 : $i]: ((irel @ X2 @ Y0) => (a3 @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ X2 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b0 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b3 @ Y1))))))))))) & (((!! @ $i @ (^[Y0 : $i]: ((irel @ X2 @ Y0) => (a0 @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ X2 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a1 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b0 @ Y1))))))))))) & (((!! @ $i @ (^[Y0 : $i]: ((irel @ X2 @ Y0) => (a1 @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ X2 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a2 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b1 @ Y1))))))))))) & ((!! @ $i @ (^[Y0 : $i]: ((irel @ X2 @ Y0) => (a2 @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ X2 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a3 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b2 @ Y1))))))))))))))) | ($true = (((!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => (a1 @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a2 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b1 @ Y1))))))))))) & (((!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => (a0 @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a1 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b0 @ Y1))))))))))) & (((!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => (a3 @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b0 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b3 @ Y1))))))))))) & ((!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => (f @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => (a0 @ Y0)))))))))) | ($false = (irel @ sK1 @ X1))) )),
% 46.32/6.21 inference(binary_proxy_clausification,[],[f432])).
% 46.32/6.21 thf(f1731,plain,(
% 46.32/6.21 spl0_18 | spl0_18),
% 46.32/6.21 inference(avatar_split_clause,[],[f1729,f288,f288])).
% 46.32/6.21 thf(f1729,plain,(
% 46.32/6.21 ( ! [X2 : $i,X3 : $i,X1 : $i,X4 : $i] : (($false = (irel @ X2 @ X3)) | ($false = (irel @ sK1 @ X1)) | ((irel @ X1 @ X4) = $false) | ($true = (a3 @ X3)) | ((irel @ sK1 @ X2) = $false) | ($true = (irel @ (sK10 @ X1) @ (sK11 @ X1))) | ($true = (a3 @ X4)) | ($true = (irel @ (sK10 @ X2) @ (sK11 @ X2)))) )),
% 46.32/6.21 inference(binary_proxy_clausification,[],[f1727])).
% 46.32/6.21 thf(f1727,plain,(
% 46.32/6.21 ( ! [X2 : $i,X3 : $i,X1 : $i,X4 : $i] : (((irel @ sK1 @ X2) = $false) | ($true = (irel @ (sK10 @ X2) @ (sK11 @ X2))) | ($false = (irel @ X2 @ X3)) | ($false = (irel @ sK1 @ X1)) | ($true = (a3 @ X3)) | (((irel @ (sK10 @ X1) @ (sK11 @ X1)) => (b0 @ (sK11 @ X1))) = $false) | ((irel @ X1 @ X4) = $false) | ($true = (a3 @ X4))) )),
% 46.32/6.21 inference(beta_eta_normalization,[],[f1726])).
% 46.32/6.21 thf(f1726,plain,(
% 46.32/6.21 ( ! [X2 : $i,X3 : $i,X1 : $i,X4 : $i] : (($true = (a3 @ X3)) | ((irel @ sK1 @ X2) = $false) | ($true = (a3 @ X4)) | ($false = (irel @ sK1 @ X1)) | ($false = (irel @ X2 @ X3)) | ($false = ((^[Y0 : $i]: ((irel @ (sK10 @ X1) @ Y0) => (b0 @ Y0))) @ (sK11 @ X1))) | ((irel @ X1 @ X4) = $false) | ($true = (irel @ (sK10 @ X2) @ (sK11 @ X2)))) )),
% 46.32/6.21 inference(sigma_clausification,[],[f1725])).
% 46.32/6.21 thf(f1725,plain,(
% 46.32/6.21 ( ! [X2 : $i,X3 : $i,X1 : $i,X4 : $i] : (($true = (irel @ (sK10 @ X2) @ (sK11 @ X2))) | ($true = (a3 @ X4)) | ($false = (irel @ sK1 @ X1)) | ((irel @ X1 @ X4) = $false) | ($false = (!! @ $i @ (^[Y0 : $i]: ((irel @ (sK10 @ X1) @ Y0) => (b0 @ Y0))))) | ($false = (irel @ X2 @ X3)) | ((irel @ sK1 @ X2) = $false) | ($true = (a3 @ X3))) )),
% 46.32/6.21 inference(binary_proxy_clausification,[],[f1721])).
% 46.32/6.21 thf(f1721,plain,(
% 46.32/6.21 ( ! [X2 : $i,X3 : $i,X1 : $i,X4 : $i] : ((((!! @ $i @ (^[Y0 : $i]: ((irel @ (sK10 @ X1) @ Y0) => (b0 @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ (sK10 @ X1) @ Y0) => (b3 @ Y0)))))) = $false) | ($true = (a3 @ X3)) | ($true = (irel @ (sK10 @ X2) @ (sK11 @ X2))) | ($false = (irel @ sK1 @ X1)) | ($false = (irel @ X2 @ X3)) | ((irel @ X1 @ X4) = $false) | ($true = (a3 @ X4)) | ((irel @ sK1 @ X2) = $false)) )),
% 46.32/6.21 inference(binary_proxy_clausification,[],[f1704])).
% 46.32/6.21 thf(f1704,plain,(
% 46.32/6.21 ( ! [X2 : $i,X3 : $i,X1 : $i,X4 : $i] : (((irel @ sK1 @ X2) = $false) | ($true = (a3 @ X4)) | ($false = (irel @ sK1 @ X1)) | ($true = (irel @ (sK10 @ X2) @ (sK11 @ X2))) | ($false = (irel @ X2 @ X3)) | ($true = (a3 @ X3)) | ((irel @ X1 @ X4) = $false) | (((irel @ X1 @ (sK10 @ X1)) => ((!! @ $i @ (^[Y0 : $i]: ((irel @ (sK10 @ X1) @ Y0) => (b0 @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ (sK10 @ X1) @ Y0) => (b3 @ Y0))))))) = $false)) )),
% 46.32/6.21 inference(binary_proxy_clausification,[],[f1702])).
% 46.32/6.21 thf(f1702,plain,(
% 46.32/6.21 ( ! [X2 : $i,X3 : $i,X1 : $i,X4 : $i] : (($true = (a3 @ X3)) | ($true = (a3 @ X4)) | ($false = ((irel @ (sK10 @ X2) @ (sK11 @ X2)) => (b0 @ (sK11 @ X2)))) | ($false = (irel @ sK1 @ X1)) | ($false = (irel @ X2 @ X3)) | (((irel @ X1 @ (sK10 @ X1)) => ((!! @ $i @ (^[Y0 : $i]: ((irel @ (sK10 @ X1) @ Y0) => (b0 @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ (sK10 @ X1) @ Y0) => (b3 @ Y0))))))) = $false) | ((irel @ sK1 @ X2) = $false) | ((irel @ X1 @ X4) = $false)) )),
% 46.32/6.21 inference(beta_eta_normalization,[],[f1701])).
% 46.32/6.21 thf(f1701,plain,(
% 46.32/6.21 ( ! [X2 : $i,X3 : $i,X1 : $i,X4 : $i] : (((irel @ X1 @ X4) = $false) | ($false = (irel @ X2 @ X3)) | ($true = (a3 @ X4)) | ($false = (irel @ sK1 @ X1)) | ($false = ((^[Y0 : $i]: ((irel @ X1 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b0 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b3 @ Y1)))))))) @ (sK10 @ X1))) | ($false = ((irel @ (sK10 @ X2) @ (sK11 @ X2)) => (b0 @ (sK11 @ X2)))) | ($true = (a3 @ X3)) | ((irel @ sK1 @ X2) = $false)) )),
% 46.32/6.21 inference(sigma_clausification,[],[f1700])).
% 46.32/6.21 thf(f1700,plain,(
% 46.32/6.21 ( ! [X2 : $i,X3 : $i,X1 : $i,X4 : $i] : (($true = (a3 @ X3)) | ($true = (a3 @ X4)) | ($false = (irel @ X2 @ X3)) | ((irel @ X1 @ X4) = $false) | ($false = (irel @ sK1 @ X1)) | ($false = (!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b0 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b3 @ Y1)))))))))) | ((irel @ sK1 @ X2) = $false) | ($false = ((irel @ (sK10 @ X2) @ (sK11 @ X2)) => (b0 @ (sK11 @ X2))))) )),
% 46.32/6.21 inference(beta_eta_normalization,[],[f1699])).
% 46.32/6.21 thf(f1699,plain,(
% 46.32/6.21 ( ! [X2 : $i,X3 : $i,X1 : $i,X4 : $i] : (($false = (!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b0 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b3 @ Y1)))))))))) | ($false = (irel @ X2 @ X3)) | ($false = ((^[Y0 : $i]: ((irel @ (sK10 @ X2) @ Y0) => (b0 @ Y0))) @ (sK11 @ X2))) | ($true = (a3 @ X3)) | ($true = (a3 @ X4)) | ($false = (irel @ sK1 @ X1)) | ((irel @ sK1 @ X2) = $false) | ((irel @ X1 @ X4) = $false)) )),
% 46.32/6.21 inference(sigma_clausification,[],[f1698])).
% 46.32/6.21 thf(f1698,plain,(
% 46.32/6.21 ( ! [X2 : $i,X3 : $i,X1 : $i,X4 : $i] : (((irel @ sK1 @ X2) = $false) | ($false = (!! @ $i @ (^[Y0 : $i]: ((irel @ (sK10 @ X2) @ Y0) => (b0 @ Y0))))) | ($false = (!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b0 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b3 @ Y1)))))))))) | ($true = (a3 @ X3)) | ($false = (irel @ X2 @ X3)) | ($true = (a3 @ X4)) | ($false = (irel @ sK1 @ X1)) | ((irel @ X1 @ X4) = $false)) )),
% 46.32/6.21 inference(binary_proxy_clausification,[],[f1697])).
% 46.32/6.21 thf(f1697,plain,(
% 46.32/6.21 ( ! [X2 : $i,X3 : $i,X1 : $i,X4 : $i] : (($true = ((irel @ X1 @ X4) => (a3 @ X4))) | ($false = (irel @ sK1 @ X1)) | ($false = (!! @ $i @ (^[Y0 : $i]: ((irel @ (sK10 @ X2) @ Y0) => (b0 @ Y0))))) | ($false = (!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b0 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b3 @ Y1)))))))))) | ($false = (irel @ X2 @ X3)) | ($true = (a3 @ X3)) | ((irel @ sK1 @ X2) = $false)) )),
% 46.32/6.21 inference(beta_eta_normalization,[],[f1696])).
% 46.32/6.21 thf(f1696,plain,(
% 46.32/6.21 ( ! [X2 : $i,X3 : $i,X1 : $i,X4 : $i] : (((irel @ sK1 @ X2) = $false) | ($false = (irel @ X2 @ X3)) | ($false = (irel @ sK1 @ X1)) | ($true = (a3 @ X3)) | ($true = ((^[Y0 : $i]: ((irel @ X1 @ Y0) => (a3 @ Y0))) @ X4)) | ($false = (!! @ $i @ (^[Y0 : $i]: ((irel @ (sK10 @ X2) @ Y0) => (b0 @ Y0))))) | ($false = (!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b0 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b3 @ Y1))))))))))) )),
% 46.32/6.21 inference(pi_clausification,[],[f1695])).
% 46.32/6.21 thf(f1695,plain,(
% 46.32/6.21 ( ! [X2 : $i,X3 : $i,X1 : $i] : (($false = (irel @ sK1 @ X1)) | ($true = (!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => (a3 @ Y0))))) | ((irel @ sK1 @ X2) = $false) | ($false = (!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b0 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b3 @ Y1)))))))))) | ($false = (irel @ X2 @ X3)) | ($true = (a3 @ X3)) | ($false = (!! @ $i @ (^[Y0 : $i]: ((irel @ (sK10 @ X2) @ Y0) => (b0 @ Y0)))))) )),
% 46.32/6.21 inference(not_proxy_clausification,[],[f1694])).
% 46.32/6.21 thf(f1694,plain,(
% 46.32/6.21 ( ! [X2 : $i,X3 : $i,X1 : $i] : (($true = (a3 @ X3)) | ((irel @ sK1 @ X2) = $false) | ($true = (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b0 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b3 @ Y1))))))))))) | ($false = (irel @ X2 @ X3)) | ($false = (!! @ $i @ (^[Y0 : $i]: ((irel @ (sK10 @ X2) @ Y0) => (b0 @ Y0))))) | ($true = (!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => (a3 @ Y0))))) | ($false = (irel @ sK1 @ X1))) )),
% 46.32/6.21 inference(binary_proxy_clausification,[],[f1664])).
% 46.32/6.21 thf(f1664,plain,(
% 46.32/6.21 ( ! [X2 : $i,X3 : $i,X1 : $i] : (($false = (irel @ sK1 @ X1)) | ($true = ((!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => (a3 @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b0 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b3 @ Y1)))))))))))) | ($true = (a3 @ X3)) | ($false = (!! @ $i @ (^[Y0 : $i]: ((irel @ (sK10 @ X2) @ Y0) => (b0 @ Y0))))) | ((irel @ sK1 @ X2) = $false) | ($false = (irel @ X2 @ X3))) )),
% 46.32/6.21 inference(binary_proxy_clausification,[],[f1662])).
% 46.32/6.21 thf(f1662,plain,(
% 46.32/6.21 ( ! [X2 : $i,X3 : $i,X1 : $i] : (($true = (a3 @ X3)) | ($false = (irel @ sK1 @ X1)) | (((!! @ $i @ (^[Y0 : $i]: ((irel @ (sK10 @ X2) @ Y0) => (b0 @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ (sK10 @ X2) @ Y0) => (b3 @ Y0)))))) = $false) | ($false = (irel @ X2 @ X3)) | ($true = ((!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => (a3 @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b0 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b3 @ Y1)))))))))))) | ((irel @ sK1 @ X2) = $false)) )),
% 46.32/6.21 inference(binary_proxy_clausification,[],[f1660])).
% 46.32/6.21 thf(f1660,plain,(
% 46.32/6.21 ( ! [X2 : $i,X3 : $i,X1 : $i] : (((irel @ sK1 @ X2) = $false) | ($false = (irel @ sK1 @ X1)) | ($true = ((irel @ X2 @ X3) => (a3 @ X3))) | ($true = ((!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => (a3 @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b0 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b3 @ Y1)))))))))))) | (((!! @ $i @ (^[Y0 : $i]: ((irel @ (sK10 @ X2) @ Y0) => (b0 @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ (sK10 @ X2) @ Y0) => (b3 @ Y0)))))) = $false)) )),
% 46.32/6.21 inference(binary_proxy_clausification,[],[f1659])).
% 46.32/6.21 thf(f1718,plain,(
% 46.32/6.21 spl0_17 | spl0_17),
% 46.32/6.21 inference(avatar_split_clause,[],[f1716,f284,f284])).
% 46.32/6.21 thf(f1716,plain,(
% 46.32/6.21 ( ! [X2 : $i,X3 : $i,X1 : $i,X4 : $i] : (((b0 @ (sK11 @ X2)) = $false) | ((b0 @ (sK11 @ X1)) = $false) | ((irel @ X1 @ X4) = $false) | ((irel @ sK1 @ X2) = $false) | ($true = (a3 @ X3)) | ($true = (a3 @ X4)) | ($false = (irel @ sK1 @ X1)) | ($false = (irel @ X2 @ X3))) )),
% 46.32/6.21 inference(binary_proxy_clausification,[],[f1715])).
% 46.32/6.21 thf(f1715,plain,(
% 46.32/6.21 ( ! [X2 : $i,X3 : $i,X1 : $i,X4 : $i] : (($true = (a3 @ X4)) | ((b0 @ (sK11 @ X2)) = $false) | ((irel @ sK1 @ X2) = $false) | ($false = (irel @ sK1 @ X1)) | ($true = (a3 @ X3)) | ((irel @ X1 @ X4) = $false) | (((irel @ (sK10 @ X1) @ (sK11 @ X1)) => (b0 @ (sK11 @ X1))) = $false) | ($false = (irel @ X2 @ X3))) )),
% 46.32/6.21 inference(beta_eta_normalization,[],[f1714])).
% 46.32/6.21 thf(f1714,plain,(
% 46.32/6.21 ( ! [X2 : $i,X3 : $i,X1 : $i,X4 : $i] : (($false = ((^[Y0 : $i]: ((irel @ (sK10 @ X1) @ Y0) => (b0 @ Y0))) @ (sK11 @ X1))) | ((irel @ X1 @ X4) = $false) | ((b0 @ (sK11 @ X2)) = $false) | ($true = (a3 @ X4)) | ($false = (irel @ sK1 @ X1)) | ($true = (a3 @ X3)) | ($false = (irel @ X2 @ X3)) | ((irel @ sK1 @ X2) = $false)) )),
% 46.32/6.21 inference(sigma_clausification,[],[f1708])).
% 46.32/6.21 thf(f1708,plain,(
% 46.32/6.21 ( ! [X2 : $i,X3 : $i,X1 : $i,X4 : $i] : (($false = (irel @ sK1 @ X1)) | ((irel @ sK1 @ X2) = $false) | ($true = (a3 @ X3)) | ((b0 @ (sK11 @ X2)) = $false) | ($false = (!! @ $i @ (^[Y0 : $i]: ((irel @ (sK10 @ X1) @ Y0) => (b0 @ Y0))))) | ($false = (irel @ X2 @ X3)) | ((irel @ X1 @ X4) = $false) | ($true = (a3 @ X4))) )),
% 46.32/6.21 inference(binary_proxy_clausification,[],[f1705])).
% 46.32/6.21 thf(f1705,plain,(
% 46.32/6.21 ( ! [X2 : $i,X3 : $i,X1 : $i,X4 : $i] : (((b0 @ (sK11 @ X2)) = $false) | ((irel @ X1 @ X4) = $false) | ($false = (irel @ sK1 @ X1)) | ((irel @ sK1 @ X2) = $false) | ($false = (irel @ X2 @ X3)) | ($true = (a3 @ X4)) | (((!! @ $i @ (^[Y0 : $i]: ((irel @ (sK10 @ X1) @ Y0) => (b0 @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ (sK10 @ X1) @ Y0) => (b3 @ Y0)))))) = $false) | ($true = (a3 @ X3))) )),
% 46.32/6.21 inference(binary_proxy_clausification,[],[f1703])).
% 46.32/6.21 thf(f1703,plain,(
% 46.32/6.21 ( ! [X2 : $i,X3 : $i,X1 : $i,X4 : $i] : (($true = (a3 @ X3)) | ((b0 @ (sK11 @ X2)) = $false) | (((irel @ X1 @ (sK10 @ X1)) => ((!! @ $i @ (^[Y0 : $i]: ((irel @ (sK10 @ X1) @ Y0) => (b0 @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ (sK10 @ X1) @ Y0) => (b3 @ Y0))))))) = $false) | ((irel @ sK1 @ X2) = $false) | ((irel @ X1 @ X4) = $false) | ($true = (a3 @ X4)) | ($false = (irel @ X2 @ X3)) | ($false = (irel @ sK1 @ X1))) )),
% 46.32/6.21 inference(binary_proxy_clausification,[],[f1702])).
% 46.32/6.21 thf(f1530,plain,(
% 46.32/6.21 spl0_11 | spl0_11),
% 46.32/6.21 inference(avatar_split_clause,[],[f1529,f223,f223])).
% 46.32/6.21 thf(f1529,plain,(
% 46.32/6.21 ( ! [X2 : $i,X3 : $i,X1 : $i,X4 : $i] : (((irel @ sK1 @ X2) = $false) | ($true = (a1 @ X3)) | ($true = (a1 @ X4)) | ($false = (irel @ sK1 @ X1)) | ($false = (irel @ X1 @ X3)) | ($true = (irel @ X2 @ (sK6 @ X2))) | ($false = (irel @ X2 @ X4)) | ($true = (irel @ X1 @ (sK6 @ X1)))) )),
% 46.32/6.21 inference(binary_proxy_clausification,[],[f1527])).
% 46.32/6.21 thf(f1527,plain,(
% 46.32/6.21 ( ! [X2 : $i,X3 : $i,X1 : $i,X4 : $i] : (($true = (a1 @ X3)) | ($false = ((irel @ X2 @ (sK6 @ X2)) => ((!! @ $i @ (^[Y0 : $i]: ((irel @ (sK6 @ X2) @ Y0) => (a2 @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ (sK6 @ X2) @ Y0) => (b1 @ Y0)))))))) | ($true = (a1 @ X4)) | ((irel @ sK1 @ X2) = $false) | ($false = (irel @ X2 @ X4)) | ($false = (irel @ X1 @ X3)) | ($false = (irel @ sK1 @ X1)) | ($true = (irel @ X1 @ (sK6 @ X1)))) )),
% 46.32/6.21 inference(beta_eta_normalization,[],[f1526])).
% 46.32/6.21 thf(f1526,plain,(
% 46.32/6.21 ( ! [X2 : $i,X3 : $i,X1 : $i,X4 : $i] : ((((^[Y0 : $i]: ((irel @ X2 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a2 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b1 @ Y1)))))))) @ (sK6 @ X2)) = $false) | ($true = (a1 @ X3)) | ($false = (irel @ sK1 @ X1)) | ($true = (irel @ X1 @ (sK6 @ X1))) | ($false = (irel @ X1 @ X3)) | ((irel @ sK1 @ X2) = $false) | ($false = (irel @ X2 @ X4)) | ($true = (a1 @ X4))) )),
% 46.32/6.21 inference(sigma_clausification,[],[f1525])).
% 46.32/6.21 thf(f1525,plain,(
% 46.32/6.21 ( ! [X2 : $i,X3 : $i,X1 : $i,X4 : $i] : (($false = (irel @ X2 @ X4)) | ((irel @ sK1 @ X2) = $false) | ($true = (a1 @ X3)) | ($true = (a1 @ X4)) | ($false = (!! @ $i @ (^[Y0 : $i]: ((irel @ X2 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a2 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b1 @ Y1)))))))))) | ($false = (irel @ sK1 @ X1)) | ($false = (irel @ X1 @ X3)) | ($true = (irel @ X1 @ (sK6 @ X1)))) )),
% 46.32/6.21 inference(binary_proxy_clausification,[],[f1524])).
% 46.32/6.21 thf(f1524,plain,(
% 46.32/6.21 ( ! [X2 : $i,X3 : $i,X1 : $i,X4 : $i] : (($false = (irel @ X1 @ X3)) | ($true = (a1 @ X3)) | ($true = ((irel @ X2 @ X4) => (a1 @ X4))) | ($true = (irel @ X1 @ (sK6 @ X1))) | ($false = (irel @ sK1 @ X1)) | ((irel @ sK1 @ X2) = $false) | ($false = (!! @ $i @ (^[Y0 : $i]: ((irel @ X2 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a2 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b1 @ Y1))))))))))) )),
% 46.32/6.21 inference(not_proxy_clausification,[],[f1523])).
% 46.32/6.21 thf(f1523,plain,(
% 46.32/6.21 ( ! [X2 : $i,X3 : $i,X1 : $i,X4 : $i] : (($false = (irel @ sK1 @ X1)) | ($true = (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ X2 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a2 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b1 @ Y1))))))))))) | ((irel @ sK1 @ X2) = $false) | ($true = (a1 @ X3)) | ($true = (irel @ X1 @ (sK6 @ X1))) | ($false = (irel @ X1 @ X3)) | ($true = ((irel @ X2 @ X4) => (a1 @ X4)))) )),
% 46.32/6.21 inference(beta_eta_normalization,[],[f1522])).
% 46.32/6.21 thf(f1522,plain,(
% 46.32/6.21 ( ! [X2 : $i,X3 : $i,X1 : $i,X4 : $i] : (($true = (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ X2 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a2 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b1 @ Y1))))))))))) | ($true = (a1 @ X3)) | ((irel @ sK1 @ X2) = $false) | ($true = ((^[Y0 : $i]: ((irel @ X2 @ Y0) => (a1 @ Y0))) @ X4)) | ($true = (irel @ X1 @ (sK6 @ X1))) | ($false = (irel @ sK1 @ X1)) | ($false = (irel @ X1 @ X3))) )),
% 46.32/6.21 inference(pi_clausification,[],[f1443])).
% 46.32/6.21 thf(f1443,plain,(
% 46.32/6.21 ( ! [X2 : $i,X3 : $i,X1 : $i] : (($false = (irel @ sK1 @ X1)) | ($true = (irel @ X1 @ (sK6 @ X1))) | ($true = (!! @ $i @ (^[Y0 : $i]: ((irel @ X2 @ Y0) => (a1 @ Y0))))) | ($true = (a1 @ X3)) | ((irel @ sK1 @ X2) = $false) | ($false = (irel @ X1 @ X3)) | ($true = (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ X2 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a2 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b1 @ Y1)))))))))))) )),
% 46.32/6.21 inference(binary_proxy_clausification,[],[f1441])).
% 46.32/6.21 thf(f1441,plain,(
% 46.32/6.21 ( ! [X2 : $i,X3 : $i,X1 : $i] : (($false = (irel @ X1 @ X3)) | ($true = (a1 @ X3)) | (((irel @ X1 @ (sK6 @ X1)) => ((!! @ $i @ (^[Y0 : $i]: ((irel @ (sK6 @ X1) @ Y0) => (a2 @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ (sK6 @ X1) @ Y0) => (b1 @ Y0))))))) = $false) | ($true = (!! @ $i @ (^[Y0 : $i]: ((irel @ X2 @ Y0) => (a1 @ Y0))))) | ($false = (irel @ sK1 @ X1)) | ($true = (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ X2 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a2 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b1 @ Y1))))))))))) | ((irel @ sK1 @ X2) = $false)) )),
% 46.32/6.21 inference(binary_proxy_clausification,[],[f1440])).
% 46.32/6.21 thf(f1440,plain,(
% 46.32/6.21 ( ! [X2 : $i,X3 : $i,X1 : $i] : (((irel @ sK1 @ X2) = $false) | ($false = (irel @ sK1 @ X1)) | ($true = ((!! @ $i @ (^[Y0 : $i]: ((irel @ X2 @ Y0) => (a1 @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ X2 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a2 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b1 @ Y1)))))))))))) | ($false = (irel @ X1 @ X3)) | ($true = (a1 @ X3)) | (((irel @ X1 @ (sK6 @ X1)) => ((!! @ $i @ (^[Y0 : $i]: ((irel @ (sK6 @ X1) @ Y0) => (a2 @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ (sK6 @ X1) @ Y0) => (b1 @ Y0))))))) = $false)) )),
% 46.32/6.21 inference(beta_eta_normalization,[],[f1439])).
% 46.32/6.21 thf(f1439,plain,(
% 46.32/6.21 ( ! [X2 : $i,X3 : $i,X1 : $i] : (($false = (irel @ X1 @ X3)) | ((irel @ sK1 @ X2) = $false) | ($true = (a1 @ X3)) | ($true = ((!! @ $i @ (^[Y0 : $i]: ((irel @ X2 @ Y0) => (a1 @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ X2 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a2 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b1 @ Y1)))))))))))) | ($false = ((^[Y0 : $i]: ((irel @ X1 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a2 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b1 @ Y1)))))))) @ (sK6 @ X1))) | ($false = (irel @ sK1 @ X1))) )),
% 46.32/6.21 inference(sigma_clausification,[],[f1438])).
% 46.32/6.21 thf(f1438,plain,(
% 46.32/6.21 ( ! [X2 : $i,X3 : $i,X1 : $i] : (((irel @ sK1 @ X2) = $false) | ($true = (a1 @ X3)) | ((!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a2 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b1 @ Y1))))))))) = $false) | ($false = (irel @ sK1 @ X1)) | ($true = ((!! @ $i @ (^[Y0 : $i]: ((irel @ X2 @ Y0) => (a1 @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ X2 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a2 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b1 @ Y1)))))))))))) | ($false = (irel @ X1 @ X3))) )),
% 46.32/6.21 inference(not_proxy_clausification,[],[f1339])).
% 46.32/6.21 thf(f1339,plain,(
% 46.32/6.21 ( ! [X2 : $i,X3 : $i,X1 : $i] : (($true = (a1 @ X3)) | ($false = (irel @ X1 @ X3)) | ((irel @ sK1 @ X2) = $false) | ($true = (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a2 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b1 @ Y1))))))))))) | ($true = ((!! @ $i @ (^[Y0 : $i]: ((irel @ X2 @ Y0) => (a1 @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ X2 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a2 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b1 @ Y1)))))))))))) | ($false = (irel @ sK1 @ X1))) )),
% 46.32/6.21 inference(binary_proxy_clausification,[],[f1337])).
% 46.32/6.21 thf(f1337,plain,(
% 46.32/6.21 ( ! [X2 : $i,X3 : $i,X1 : $i] : (($false = (irel @ sK1 @ X1)) | ($false = (irel @ X1 @ X3)) | ($true = (((!! @ $i @ (^[Y0 : $i]: ((irel @ X2 @ Y0) => (a1 @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ X2 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a2 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b1 @ Y1))))))))))) & ((!! @ $i @ (^[Y0 : $i]: ((irel @ X2 @ Y0) => (a2 @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ X2 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a3 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b2 @ Y1))))))))))))) | ((irel @ sK1 @ X2) = $false) | ($true = (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a2 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b1 @ Y1))))))))))) | ($true = (a1 @ X3))) )),
% 46.32/6.21 inference(binary_proxy_clausification,[],[f1336])).
% 46.32/6.21 thf(f1336,plain,(
% 46.32/6.21 ( ! [X2 : $i,X3 : $i,X1 : $i] : (((irel @ sK1 @ X2) = $false) | ($true = ((irel @ X1 @ X3) => (a1 @ X3))) | ($false = (irel @ sK1 @ X1)) | ($true = (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a2 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b1 @ Y1))))))))))) | ($true = (((!! @ $i @ (^[Y0 : $i]: ((irel @ X2 @ Y0) => (a1 @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ X2 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a2 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b1 @ Y1))))))))))) & ((!! @ $i @ (^[Y0 : $i]: ((irel @ X2 @ Y0) => (a2 @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ X2 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a3 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b2 @ Y1)))))))))))))) )),
% 46.32/6.21 inference(beta_eta_normalization,[],[f1335])).
% 46.32/6.21 thf(f1335,plain,(
% 46.32/6.21 ( ! [X2 : $i,X3 : $i,X1 : $i] : (($false = (irel @ sK1 @ X1)) | ($true = ((^[Y0 : $i]: ((irel @ X1 @ Y0) => (a1 @ Y0))) @ X3)) | ($true = (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a2 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b1 @ Y1))))))))))) | ($true = (((!! @ $i @ (^[Y0 : $i]: ((irel @ X2 @ Y0) => (a1 @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ X2 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a2 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b1 @ Y1))))))))))) & ((!! @ $i @ (^[Y0 : $i]: ((irel @ X2 @ Y0) => (a2 @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ X2 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a3 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b2 @ Y1))))))))))))) | ((irel @ sK1 @ X2) = $false)) )),
% 46.32/6.21 inference(pi_clausification,[],[f1334])).
% 46.32/6.21 thf(f1334,plain,(
% 46.32/6.21 ( ! [X2 : $i,X1 : $i] : (($true = (!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => (a1 @ Y0))))) | ($false = (irel @ sK1 @ X1)) | ($true = (((!! @ $i @ (^[Y0 : $i]: ((irel @ X2 @ Y0) => (a1 @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ X2 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a2 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b1 @ Y1))))))))))) & ((!! @ $i @ (^[Y0 : $i]: ((irel @ X2 @ Y0) => (a2 @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ X2 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a3 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b2 @ Y1))))))))))))) | ((irel @ sK1 @ X2) = $false) | ($true = (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a2 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b1 @ Y1)))))))))))) )),
% 46.32/6.21 inference(binary_proxy_clausification,[],[f1238])).
% 46.32/6.21 thf(f1238,plain,(
% 46.32/6.21 ( ! [X2 : $i,X1 : $i] : (($true = ((!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => (a1 @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a2 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b1 @ Y1)))))))))))) | ($false = (irel @ sK1 @ X1)) | ((irel @ sK1 @ X2) = $false) | ($true = (((!! @ $i @ (^[Y0 : $i]: ((irel @ X2 @ Y0) => (a1 @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ X2 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a2 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b1 @ Y1))))))))))) & ((!! @ $i @ (^[Y0 : $i]: ((irel @ X2 @ Y0) => (a2 @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ X2 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a3 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b2 @ Y1)))))))))))))) )),
% 46.32/6.21 inference(binary_proxy_clausification,[],[f439])).
% 46.32/6.21 thf(f439,plain,(
% 46.32/6.21 ( ! [X2 : $i,X1 : $i] : (($false = (irel @ sK1 @ X1)) | ((irel @ sK1 @ X2) = $false) | ($true = (((!! @ $i @ (^[Y0 : $i]: ((irel @ X2 @ Y0) => (a0 @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ X2 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a1 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b0 @ Y1))))))))))) & (((!! @ $i @ (^[Y0 : $i]: ((irel @ X2 @ Y0) => (a1 @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ X2 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a2 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b1 @ Y1))))))))))) & ((!! @ $i @ (^[Y0 : $i]: ((irel @ X2 @ Y0) => (a2 @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ X2 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a3 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b2 @ Y1)))))))))))))) | ($true = ((!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => (a1 @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a2 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b1 @ Y1))))))))))))) )),
% 46.32/6.21 inference(binary_proxy_clausification,[],[f436])).
% 46.32/6.21 thf(f436,plain,(
% 46.32/6.21 ( ! [X2 : $i,X1 : $i] : (($true = (((!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => (a1 @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a2 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b1 @ Y1))))))))))) & (((!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => (a0 @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a1 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b0 @ Y1))))))))))) & (((!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => (a3 @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b0 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b3 @ Y1))))))))))) & ((!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => (f @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => (a0 @ Y0)))))))))) | ((irel @ sK1 @ X2) = $false) | ($true = (((!! @ $i @ (^[Y0 : $i]: ((irel @ X2 @ Y0) => (a0 @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ X2 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a1 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b0 @ Y1))))))))))) & (((!! @ $i @ (^[Y0 : $i]: ((irel @ X2 @ Y0) => (a1 @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ X2 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a2 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b1 @ Y1))))))))))) & ((!! @ $i @ (^[Y0 : $i]: ((irel @ X2 @ Y0) => (a2 @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ X2 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a3 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b2 @ Y1)))))))))))))) | ($false = (irel @ sK1 @ X1))) )),
% 46.32/6.21 inference(binary_proxy_clausification,[],[f434])).
% 46.32/6.21 thf(f1521,plain,(
% 46.32/6.21 spl0_9 | spl0_9),
% 46.32/6.21 inference(avatar_split_clause,[],[f1518,f211,f211])).
% 46.32/6.21 thf(f1518,plain,(
% 46.32/6.21 ( ! [X2 : $i,X3 : $i,X1 : $i,X4 : $i] : (((a2 @ (sK7 @ X2)) = $false) | ($false = (a2 @ (sK7 @ X1))) | ($false = (irel @ X2 @ X4)) | ($false = (irel @ sK1 @ X1)) | ($false = (irel @ X1 @ X3)) | ($true = (a1 @ X3)) | ((irel @ sK1 @ X2) = $false) | ($true = (a1 @ X4))) )),
% 46.32/6.21 inference(binary_proxy_clausification,[],[f1517])).
% 46.32/6.21 thf(f1517,plain,(
% 46.32/6.21 ( ! [X2 : $i,X3 : $i,X1 : $i,X4 : $i] : (($false = ((irel @ (sK6 @ X2) @ (sK7 @ X2)) => (a2 @ (sK7 @ X2)))) | ($false = (irel @ X1 @ X3)) | ($true = (a1 @ X4)) | ($false = (irel @ X2 @ X4)) | ($false = (a2 @ (sK7 @ X1))) | ($false = (irel @ sK1 @ X1)) | ($true = (a1 @ X3)) | ((irel @ sK1 @ X2) = $false)) )),
% 46.32/6.21 inference(beta_eta_normalization,[],[f1516])).
% 46.32/6.21 thf(f1516,plain,(
% 46.32/6.21 ( ! [X2 : $i,X3 : $i,X1 : $i,X4 : $i] : (((irel @ sK1 @ X2) = $false) | ($false = (irel @ X1 @ X3)) | ($false = (irel @ X2 @ X4)) | ($false = (a2 @ (sK7 @ X1))) | ($true = (a1 @ X4)) | ($false = (irel @ sK1 @ X1)) | ($false = ((^[Y0 : $i]: ((irel @ (sK6 @ X2) @ Y0) => (a2 @ Y0))) @ (sK7 @ X2))) | ($true = (a1 @ X3))) )),
% 46.32/6.21 inference(sigma_clausification,[],[f1510])).
% 46.32/6.21 thf(f1510,plain,(
% 46.32/6.21 ( ! [X2 : $i,X3 : $i,X1 : $i,X4 : $i] : (($true = (a1 @ X3)) | ($false = (irel @ sK1 @ X1)) | ($false = (irel @ X1 @ X3)) | ($false = (!! @ $i @ (^[Y0 : $i]: ((irel @ (sK6 @ X2) @ Y0) => (a2 @ Y0))))) | ($false = (a2 @ (sK7 @ X1))) | ($true = (a1 @ X4)) | ($false = (irel @ X2 @ X4)) | ((irel @ sK1 @ X2) = $false)) )),
% 46.32/6.21 inference(binary_proxy_clausification,[],[f1506])).
% 46.32/6.21 thf(f1506,plain,(
% 46.32/6.21 ( ! [X2 : $i,X3 : $i,X1 : $i,X4 : $i] : (($true = (a1 @ X3)) | ($false = (irel @ sK1 @ X1)) | ($false = (a2 @ (sK7 @ X1))) | ($false = (irel @ X1 @ X3)) | ($false = ((!! @ $i @ (^[Y0 : $i]: ((irel @ (sK6 @ X2) @ Y0) => (a2 @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ (sK6 @ X2) @ Y0) => (b1 @ Y0))))))) | ($true = (a1 @ X4)) | ((irel @ sK1 @ X2) = $false) | ($false = (irel @ X2 @ X4))) )),
% 46.32/6.21 inference(binary_proxy_clausification,[],[f1488])).
% 46.32/6.21 thf(f1488,plain,(
% 46.32/6.21 ( ! [X2 : $i,X3 : $i,X1 : $i,X4 : $i] : (($false = (irel @ X2 @ X4)) | ($true = (a1 @ X3)) | ($true = (a1 @ X4)) | ($false = (a2 @ (sK7 @ X1))) | ($false = (irel @ X1 @ X3)) | ($false = ((irel @ X2 @ (sK6 @ X2)) => ((!! @ $i @ (^[Y0 : $i]: ((irel @ (sK6 @ X2) @ Y0) => (a2 @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ (sK6 @ X2) @ Y0) => (b1 @ Y0)))))))) | ((irel @ sK1 @ X2) = $false) | ($false = (irel @ sK1 @ X1))) )),
% 46.32/6.21 inference(binary_proxy_clausification,[],[f1487])).
% 46.32/6.21 thf(f1487,plain,(
% 46.32/6.21 ( ! [X2 : $i,X3 : $i,X1 : $i,X4 : $i] : (((irel @ sK1 @ X2) = $false) | ($false = (irel @ X2 @ X4)) | ($true = (a1 @ X4)) | ($false = (irel @ sK1 @ X1)) | ($false = ((irel @ (sK6 @ X1) @ (sK7 @ X1)) => (a2 @ (sK7 @ X1)))) | ($true = (a1 @ X3)) | ($false = (irel @ X1 @ X3)) | ($false = ((irel @ X2 @ (sK6 @ X2)) => ((!! @ $i @ (^[Y0 : $i]: ((irel @ (sK6 @ X2) @ Y0) => (a2 @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ (sK6 @ X2) @ Y0) => (b1 @ Y0))))))))) )),
% 46.32/6.21 inference(beta_eta_normalization,[],[f1486])).
% 46.32/6.21 thf(f1486,plain,(
% 46.32/6.21 ( ! [X2 : $i,X3 : $i,X1 : $i,X4 : $i] : (($false = (irel @ sK1 @ X1)) | ($true = (a1 @ X4)) | (((^[Y0 : $i]: ((irel @ X2 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a2 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b1 @ Y1)))))))) @ (sK6 @ X2)) = $false) | ((irel @ sK1 @ X2) = $false) | ($true = (a1 @ X3)) | ($false = (irel @ X2 @ X4)) | ($false = (irel @ X1 @ X3)) | ($false = ((irel @ (sK6 @ X1) @ (sK7 @ X1)) => (a2 @ (sK7 @ X1))))) )),
% 46.32/6.22 inference(sigma_clausification,[],[f1485])).
% 46.32/6.22 thf(f1485,plain,(
% 46.32/6.22 ( ! [X2 : $i,X3 : $i,X1 : $i,X4 : $i] : (($true = (a1 @ X3)) | ($false = (irel @ X2 @ X4)) | ((irel @ sK1 @ X2) = $false) | ($true = (a1 @ X4)) | ($false = (!! @ $i @ (^[Y0 : $i]: ((irel @ X2 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a2 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b1 @ Y1)))))))))) | ($false = (irel @ X1 @ X3)) | ($false = ((irel @ (sK6 @ X1) @ (sK7 @ X1)) => (a2 @ (sK7 @ X1)))) | ($false = (irel @ sK1 @ X1))) )),
% 46.32/6.22 inference(binary_proxy_clausification,[],[f1484])).
% 46.32/6.22 thf(f1484,plain,(
% 46.32/6.22 ( ! [X2 : $i,X3 : $i,X1 : $i,X4 : $i] : (((irel @ sK1 @ X2) = $false) | ($true = ((irel @ X2 @ X4) => (a1 @ X4))) | ($false = (irel @ sK1 @ X1)) | ($false = (irel @ X1 @ X3)) | ($true = (a1 @ X3)) | ($false = (!! @ $i @ (^[Y0 : $i]: ((irel @ X2 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a2 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b1 @ Y1)))))))))) | ($false = ((irel @ (sK6 @ X1) @ (sK7 @ X1)) => (a2 @ (sK7 @ X1))))) )),
% 46.32/6.22 inference(beta_eta_normalization,[],[f1483])).
% 46.32/6.22 thf(f1483,plain,(
% 46.32/6.22 ( ! [X2 : $i,X3 : $i,X1 : $i,X4 : $i] : (((irel @ sK1 @ X2) = $false) | ($false = (irel @ sK1 @ X1)) | ($false = (!! @ $i @ (^[Y0 : $i]: ((irel @ X2 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a2 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b1 @ Y1)))))))))) | ($false = ((^[Y0 : $i]: ((irel @ (sK6 @ X1) @ Y0) => (a2 @ Y0))) @ (sK7 @ X1))) | ($false = (irel @ X1 @ X3)) | ($true = (a1 @ X3)) | ($true = ((irel @ X2 @ X4) => (a1 @ X4)))) )),
% 46.32/6.22 inference(sigma_clausification,[],[f1482])).
% 46.32/6.22 thf(f1482,plain,(
% 46.32/6.22 ( ! [X2 : $i,X3 : $i,X1 : $i,X4 : $i] : (($false = (!! @ $i @ (^[Y0 : $i]: ((irel @ (sK6 @ X1) @ Y0) => (a2 @ Y0))))) | ($false = (irel @ sK1 @ X1)) | ((irel @ sK1 @ X2) = $false) | ($true = (a1 @ X3)) | ($true = ((irel @ X2 @ X4) => (a1 @ X4))) | ($false = (irel @ X1 @ X3)) | ($false = (!! @ $i @ (^[Y0 : $i]: ((irel @ X2 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a2 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b1 @ Y1))))))))))) )),
% 46.32/6.22 inference(beta_eta_normalization,[],[f1481])).
% 46.32/6.22 thf(f1481,plain,(
% 46.32/6.22 ( ! [X2 : $i,X3 : $i,X1 : $i,X4 : $i] : (($true = (a1 @ X3)) | ($true = ((^[Y0 : $i]: ((irel @ X2 @ Y0) => (a1 @ Y0))) @ X4)) | ($false = (irel @ sK1 @ X1)) | ((irel @ sK1 @ X2) = $false) | ($false = (!! @ $i @ (^[Y0 : $i]: ((irel @ X2 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a2 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b1 @ Y1)))))))))) | ($false = (!! @ $i @ (^[Y0 : $i]: ((irel @ (sK6 @ X1) @ Y0) => (a2 @ Y0))))) | ($false = (irel @ X1 @ X3))) )),
% 46.32/6.22 inference(pi_clausification,[],[f1446])).
% 46.32/6.22 thf(f1446,plain,(
% 46.32/6.22 ( ! [X2 : $i,X3 : $i,X1 : $i] : (($true = (a1 @ X3)) | ($false = (irel @ X1 @ X3)) | ($true = (!! @ $i @ (^[Y0 : $i]: ((irel @ X2 @ Y0) => (a1 @ Y0))))) | ((irel @ sK1 @ X2) = $false) | ($false = (irel @ sK1 @ X1)) | ($false = (!! @ $i @ (^[Y0 : $i]: ((irel @ X2 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a2 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b1 @ Y1)))))))))) | ($false = (!! @ $i @ (^[Y0 : $i]: ((irel @ (sK6 @ X1) @ Y0) => (a2 @ Y0)))))) )),
% 46.32/6.22 inference(binary_proxy_clausification,[],[f1444])).
% 46.32/6.22 thf(f1444,plain,(
% 46.32/6.22 ( ! [X2 : $i,X3 : $i,X1 : $i] : (($false = ((!! @ $i @ (^[Y0 : $i]: ((irel @ (sK6 @ X1) @ Y0) => (a2 @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ (sK6 @ X1) @ Y0) => (b1 @ Y0))))))) | ($false = (irel @ X1 @ X3)) | ($true = (a1 @ X3)) | ($false = (!! @ $i @ (^[Y0 : $i]: ((irel @ X2 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a2 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b1 @ Y1)))))))))) | ($true = (!! @ $i @ (^[Y0 : $i]: ((irel @ X2 @ Y0) => (a1 @ Y0))))) | ($false = (irel @ sK1 @ X1)) | ((irel @ sK1 @ X2) = $false)) )),
% 46.32/6.22 inference(not_proxy_clausification,[],[f1442])).
% 46.32/6.22 thf(f1442,plain,(
% 46.32/6.22 ( ! [X2 : $i,X3 : $i,X1 : $i] : (($true = (a1 @ X3)) | ((irel @ sK1 @ X2) = $false) | ($false = (irel @ X1 @ X3)) | ($false = (irel @ sK1 @ X1)) | ($true = (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ X2 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a2 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b1 @ Y1))))))))))) | ($false = ((!! @ $i @ (^[Y0 : $i]: ((irel @ (sK6 @ X1) @ Y0) => (a2 @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ (sK6 @ X1) @ Y0) => (b1 @ Y0))))))) | ($true = (!! @ $i @ (^[Y0 : $i]: ((irel @ X2 @ Y0) => (a1 @ Y0)))))) )),
% 46.32/6.22 inference(binary_proxy_clausification,[],[f1441])).
% 46.32/6.22 thf(f1504,plain,(
% 46.32/6.22 spl0_8 | spl0_8),
% 46.32/6.22 inference(avatar_split_clause,[],[f1502,f207,f207])).
% 46.32/6.22 thf(f1502,plain,(
% 46.32/6.22 ( ! [X2 : $i,X3 : $i,X1 : $i,X4 : $i] : (($false = (irel @ X1 @ X3)) | ($true = (a1 @ X4)) | ($false = (irel @ sK1 @ X1)) | ($true = (irel @ (sK6 @ X2) @ (sK7 @ X2))) | ($false = (irel @ X2 @ X4)) | ($true = (irel @ (sK6 @ X1) @ (sK7 @ X1))) | ((irel @ sK1 @ X2) = $false) | ($true = (a1 @ X3))) )),
% 46.32/6.22 inference(binary_proxy_clausification,[],[f1500])).
% 46.32/6.22 thf(f1500,plain,(
% 46.32/6.22 ( ! [X2 : $i,X3 : $i,X1 : $i,X4 : $i] : (($false = (irel @ X1 @ X3)) | ($false = (irel @ sK1 @ X1)) | ((irel @ sK1 @ X2) = $false) | ($false = ((irel @ (sK6 @ X2) @ (sK7 @ X2)) => (a2 @ (sK7 @ X2)))) | ($true = (irel @ (sK6 @ X1) @ (sK7 @ X1))) | ($true = (a1 @ X3)) | ($false = (irel @ X2 @ X4)) | ($true = (a1 @ X4))) )),
% 46.32/6.22 inference(beta_eta_normalization,[],[f1499])).
% 46.32/6.22 thf(f1499,plain,(
% 46.32/6.22 ( ! [X2 : $i,X3 : $i,X1 : $i,X4 : $i] : (($false = (irel @ X1 @ X3)) | ($true = (irel @ (sK6 @ X1) @ (sK7 @ X1))) | ($false = (irel @ sK1 @ X1)) | ($true = (a1 @ X4)) | ($false = (irel @ X2 @ X4)) | ($true = (a1 @ X3)) | ((irel @ sK1 @ X2) = $false) | ($false = ((^[Y0 : $i]: ((irel @ (sK6 @ X2) @ Y0) => (a2 @ Y0))) @ (sK7 @ X2)))) )),
% 46.32/6.22 inference(sigma_clausification,[],[f1493])).
% 46.32/6.22 thf(f1493,plain,(
% 46.32/6.22 ( ! [X2 : $i,X3 : $i,X1 : $i,X4 : $i] : (($false = (!! @ $i @ (^[Y0 : $i]: ((irel @ (sK6 @ X2) @ Y0) => (a2 @ Y0))))) | ($true = (irel @ (sK6 @ X1) @ (sK7 @ X1))) | ($false = (irel @ sK1 @ X1)) | ($true = (a1 @ X4)) | ($false = (irel @ X2 @ X4)) | ((irel @ sK1 @ X2) = $false) | ($true = (a1 @ X3)) | ($false = (irel @ X1 @ X3))) )),
% 46.32/6.22 inference(binary_proxy_clausification,[],[f1490])).
% 46.32/6.22 thf(f1490,plain,(
% 46.32/6.22 ( ! [X2 : $i,X3 : $i,X1 : $i,X4 : $i] : (($false = (irel @ sK1 @ X1)) | ((irel @ sK1 @ X2) = $false) | ($true = (a1 @ X3)) | ($true = (irel @ (sK6 @ X1) @ (sK7 @ X1))) | ($true = (a1 @ X4)) | ($false = (irel @ X1 @ X3)) | ($false = ((!! @ $i @ (^[Y0 : $i]: ((irel @ (sK6 @ X2) @ Y0) => (a2 @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ (sK6 @ X2) @ Y0) => (b1 @ Y0))))))) | ($false = (irel @ X2 @ X4))) )),
% 46.32/6.22 inference(binary_proxy_clausification,[],[f1489])).
% 46.32/6.22 thf(f1489,plain,(
% 46.32/6.22 ( ! [X2 : $i,X3 : $i,X1 : $i,X4 : $i] : (($false = (irel @ X2 @ X4)) | ($true = (a1 @ X4)) | ((irel @ sK1 @ X2) = $false) | ($true = (irel @ (sK6 @ X1) @ (sK7 @ X1))) | ($true = (a1 @ X3)) | ($false = (irel @ sK1 @ X1)) | ($false = (irel @ X1 @ X3)) | ($false = ((irel @ X2 @ (sK6 @ X2)) => ((!! @ $i @ (^[Y0 : $i]: ((irel @ (sK6 @ X2) @ Y0) => (a2 @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ (sK6 @ X2) @ Y0) => (b1 @ Y0))))))))) )),
% 46.32/6.22 inference(binary_proxy_clausification,[],[f1487])).
% 46.32/6.22 thf(f1080,plain,(
% 46.32/6.22 spl0_12 | spl0_12),
% 46.32/6.22 inference(avatar_split_clause,[],[f1079,f236,f236])).
% 46.32/6.22 thf(f1079,plain,(
% 46.32/6.22 ( ! [X2 : $i,X3 : $i,X1 : $i,X4 : $i] : (($false = (irel @ X2 @ X3)) | ($true = (irel @ X2 @ (sK8 @ X2))) | ((irel @ sK1 @ X2) = $false) | ((irel @ X1 @ X4) = $false) | ($false = (irel @ sK1 @ X1)) | ($true = (a0 @ X3)) | ($true = (irel @ X1 @ (sK8 @ X1))) | ($true = (a0 @ X4))) )),
% 46.32/6.22 inference(binary_proxy_clausification,[],[f1063])).
% 46.32/6.22 thf(f1063,plain,(
% 46.32/6.22 ( ! [X2 : $i,X3 : $i,X1 : $i,X4 : $i] : (((irel @ sK1 @ X2) = $false) | ($true = (irel @ X2 @ (sK8 @ X2))) | ($true = ((irel @ X1 @ X4) => (a0 @ X4))) | ($true = (irel @ X1 @ (sK8 @ X1))) | ($true = (a0 @ X3)) | ($false = (irel @ X2 @ X3)) | ($false = (irel @ sK1 @ X1))) )),
% 46.32/6.22 inference(binary_proxy_clausification,[],[f1061])).
% 46.32/6.22 thf(f1061,plain,(
% 46.32/6.22 ( ! [X2 : $i,X3 : $i,X1 : $i,X4 : $i] : (((irel @ sK1 @ X2) = $false) | ($false = (irel @ sK1 @ X1)) | (((irel @ X1 @ (sK8 @ X1)) => ((!! @ $i @ (^[Y0 : $i]: ((irel @ (sK8 @ X1) @ Y0) => (a1 @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ (sK8 @ X1) @ Y0) => (b0 @ Y0))))))) = $false) | ($true = ((irel @ X1 @ X4) => (a0 @ X4))) | ($false = (irel @ X2 @ X3)) | ($true = (irel @ X2 @ (sK8 @ X2))) | ($true = (a0 @ X3))) )),
% 46.32/6.22 inference(beta_eta_normalization,[],[f1060])).
% 46.32/6.22 thf(f1060,plain,(
% 46.32/6.22 ( ! [X2 : $i,X3 : $i,X1 : $i,X4 : $i] : ((((irel @ X1 @ (sK8 @ X1)) => ((!! @ $i @ (^[Y0 : $i]: ((irel @ (sK8 @ X1) @ Y0) => (a1 @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ (sK8 @ X1) @ Y0) => (b0 @ Y0))))))) = $false) | ($false = (irel @ sK1 @ X1)) | ($true = (irel @ X2 @ (sK8 @ X2))) | ((irel @ sK1 @ X2) = $false) | ($true = (a0 @ X3)) | ($true = ((^[Y0 : $i]: ((irel @ X1 @ Y0) => (a0 @ Y0))) @ X4)) | ($false = (irel @ X2 @ X3))) )),
% 46.32/6.22 inference(pi_clausification,[],[f1059])).
% 46.32/6.22 thf(f1059,plain,(
% 46.32/6.22 ( ! [X2 : $i,X3 : $i,X1 : $i] : (((irel @ sK1 @ X2) = $false) | ($true = (!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => (a0 @ Y0))))) | ($false = (irel @ X2 @ X3)) | ($false = (irel @ sK1 @ X1)) | ($true = (a0 @ X3)) | ($true = (irel @ X2 @ (sK8 @ X2))) | (((irel @ X1 @ (sK8 @ X1)) => ((!! @ $i @ (^[Y0 : $i]: ((irel @ (sK8 @ X1) @ Y0) => (a1 @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ (sK8 @ X1) @ Y0) => (b0 @ Y0))))))) = $false)) )),
% 46.32/6.22 inference(beta_eta_normalization,[],[f1058])).
% 46.32/6.22 thf(f1058,plain,(
% 46.32/6.22 ( ! [X2 : $i,X3 : $i,X1 : $i] : (($true = (a0 @ X3)) | (((^[Y0 : $i]: ((irel @ X1 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a1 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b0 @ Y1)))))))) @ (sK8 @ X1)) = $false) | ($true = (!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => (a0 @ Y0))))) | ($false = (irel @ X2 @ X3)) | ($true = (irel @ X2 @ (sK8 @ X2))) | ($false = (irel @ sK1 @ X1)) | ((irel @ sK1 @ X2) = $false)) )),
% 46.32/6.22 inference(sigma_clausification,[],[f1057])).
% 46.32/6.22 thf(f1057,plain,(
% 46.32/6.22 ( ! [X2 : $i,X3 : $i,X1 : $i] : (((!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a1 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b0 @ Y1))))))))) = $false) | ($true = (irel @ X2 @ (sK8 @ X2))) | ($true = (!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => (a0 @ Y0))))) | ((irel @ sK1 @ X2) = $false) | ($false = (irel @ X2 @ X3)) | ($true = (a0 @ X3)) | ($false = (irel @ sK1 @ X1))) )),
% 46.32/6.22 inference(not_proxy_clausification,[],[f1056])).
% 46.32/6.22 thf(f1056,plain,(
% 46.32/6.22 ( ! [X2 : $i,X3 : $i,X1 : $i] : (($false = (irel @ sK1 @ X1)) | ($true = (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a1 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b0 @ Y1))))))))))) | ($false = (irel @ X2 @ X3)) | ($true = (a0 @ X3)) | ($true = (irel @ X2 @ (sK8 @ X2))) | ($true = (!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => (a0 @ Y0))))) | ((irel @ sK1 @ X2) = $false)) )),
% 46.32/6.22 inference(binary_proxy_clausification,[],[f989])).
% 46.32/6.22 thf(f989,plain,(
% 46.32/6.22 ( ! [X2 : $i,X3 : $i,X1 : $i] : (($false = (irel @ sK1 @ X1)) | ($true = ((!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => (a0 @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a1 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b0 @ Y1)))))))))))) | ($true = (a0 @ X3)) | ((irel @ sK1 @ X2) = $false) | ($false = (irel @ X2 @ X3)) | ($true = (irel @ X2 @ (sK8 @ X2)))) )),
% 46.32/6.22 inference(binary_proxy_clausification,[],[f987])).
% 46.32/6.22 thf(f987,plain,(
% 46.32/6.22 ( ! [X2 : $i,X3 : $i,X1 : $i] : (($false = (irel @ X2 @ X3)) | ((irel @ sK1 @ X2) = $false) | ($false = (irel @ sK1 @ X1)) | ($false = ((irel @ X2 @ (sK8 @ X2)) => ((!! @ $i @ (^[Y0 : $i]: ((irel @ (sK8 @ X2) @ Y0) => (a1 @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ (sK8 @ X2) @ Y0) => (b0 @ Y0)))))))) | ($true = ((!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => (a0 @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a1 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b0 @ Y1)))))))))))) | ($true = (a0 @ X3))) )),
% 46.32/6.22 inference(binary_proxy_clausification,[],[f985])).
% 46.32/6.22 thf(f985,plain,(
% 46.32/6.22 ( ! [X2 : $i,X3 : $i,X1 : $i] : (($true = (((!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => (a0 @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a1 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b0 @ Y1))))))))))) & (((!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => (a3 @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b0 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b3 @ Y1))))))))))) & ((!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => (f @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => (a0 @ Y0))))))))) | ($false = (irel @ sK1 @ X1)) | ($false = ((irel @ X2 @ (sK8 @ X2)) => ((!! @ $i @ (^[Y0 : $i]: ((irel @ (sK8 @ X2) @ Y0) => (a1 @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ (sK8 @ X2) @ Y0) => (b0 @ Y0)))))))) | ($false = (irel @ X2 @ X3)) | ((irel @ sK1 @ X2) = $false) | ($true = (a0 @ X3))) )),
% 46.32/6.22 inference(binary_proxy_clausification,[],[f984])).
% 46.32/6.22 thf(f984,plain,(
% 46.32/6.22 ( ! [X2 : $i,X3 : $i,X1 : $i] : (($true = ((irel @ X2 @ X3) => (a0 @ X3))) | ($false = (irel @ sK1 @ X1)) | ($false = ((irel @ X2 @ (sK8 @ X2)) => ((!! @ $i @ (^[Y0 : $i]: ((irel @ (sK8 @ X2) @ Y0) => (a1 @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ (sK8 @ X2) @ Y0) => (b0 @ Y0)))))))) | ((irel @ sK1 @ X2) = $false) | ($true = (((!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => (a0 @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a1 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b0 @ Y1))))))))))) & (((!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => (a3 @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b0 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b3 @ Y1))))))))))) & ((!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => (f @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => (a0 @ Y0)))))))))) )),
% 46.32/6.22 inference(beta_eta_normalization,[],[f983])).
% 46.32/6.22 thf(f983,plain,(
% 46.32/6.22 ( ! [X2 : $i,X3 : $i,X1 : $i] : (((irel @ sK1 @ X2) = $false) | ($true = (((!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => (a0 @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a1 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b0 @ Y1))))))))))) & (((!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => (a3 @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b0 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b3 @ Y1))))))))))) & ((!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => (f @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => (a0 @ Y0))))))))) | ($true = ((^[Y0 : $i]: ((irel @ X2 @ Y0) => (a0 @ Y0))) @ X3)) | ($false = (irel @ sK1 @ X1)) | ($false = ((irel @ X2 @ (sK8 @ X2)) => ((!! @ $i @ (^[Y0 : $i]: ((irel @ (sK8 @ X2) @ Y0) => (a1 @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ (sK8 @ X2) @ Y0) => (b0 @ Y0))))))))) )),
% 46.32/6.22 inference(pi_clausification,[],[f982])).
% 46.32/6.22 thf(f982,plain,(
% 46.32/6.22 ( ! [X2 : $i,X1 : $i] : (($true = (!! @ $i @ (^[Y0 : $i]: ((irel @ X2 @ Y0) => (a0 @ Y0))))) | ($true = (((!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => (a0 @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a1 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b0 @ Y1))))))))))) & (((!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => (a3 @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b0 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b3 @ Y1))))))))))) & ((!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => (f @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => (a0 @ Y0))))))))) | ($false = ((irel @ X2 @ (sK8 @ X2)) => ((!! @ $i @ (^[Y0 : $i]: ((irel @ (sK8 @ X2) @ Y0) => (a1 @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ (sK8 @ X2) @ Y0) => (b0 @ Y0)))))))) | ((irel @ sK1 @ X2) = $false) | ($false = (irel @ sK1 @ X1))) )),
% 46.32/6.22 inference(beta_eta_normalization,[],[f981])).
% 46.32/6.22 thf(f981,plain,(
% 46.32/6.22 ( ! [X2 : $i,X1 : $i] : (($true = (!! @ $i @ (^[Y0 : $i]: ((irel @ X2 @ Y0) => (a0 @ Y0))))) | ($false = ((^[Y0 : $i]: ((irel @ X2 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a1 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b0 @ Y1)))))))) @ (sK8 @ X2))) | ($false = (irel @ sK1 @ X1)) | ($true = (((!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => (a0 @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a1 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b0 @ Y1))))))))))) & (((!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => (a3 @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b0 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b3 @ Y1))))))))))) & ((!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => (f @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => (a0 @ Y0))))))))) | ((irel @ sK1 @ X2) = $false)) )),
% 46.32/6.22 inference(sigma_clausification,[],[f980])).
% 46.32/6.22 thf(f980,plain,(
% 46.32/6.22 ( ! [X2 : $i,X1 : $i] : (($false = (!! @ $i @ (^[Y0 : $i]: ((irel @ X2 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a1 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b0 @ Y1)))))))))) | ($false = (irel @ sK1 @ X1)) | ((irel @ sK1 @ X2) = $false) | ($true = (((!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => (a0 @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a1 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b0 @ Y1))))))))))) & (((!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => (a3 @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b0 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b3 @ Y1))))))))))) & ((!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => (f @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => (a0 @ Y0))))))))) | ($true = (!! @ $i @ (^[Y0 : $i]: ((irel @ X2 @ Y0) => (a0 @ Y0)))))) )),
% 46.32/6.22 inference(not_proxy_clausification,[],[f979])).
% 46.32/6.22 thf(f979,plain,(
% 46.32/6.22 ( ! [X2 : $i,X1 : $i] : (($false = (irel @ sK1 @ X1)) | ($true = (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ X2 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a1 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b0 @ Y1))))))))))) | ((irel @ sK1 @ X2) = $false) | ($true = (((!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => (a0 @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a1 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b0 @ Y1))))))))))) & (((!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => (a3 @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b0 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b3 @ Y1))))))))))) & ((!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => (f @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => (a0 @ Y0))))))))) | ($true = (!! @ $i @ (^[Y0 : $i]: ((irel @ X2 @ Y0) => (a0 @ Y0)))))) )),
% 46.32/6.22 inference(binary_proxy_clausification,[],[f441])).
% 46.32/6.22 thf(f441,plain,(
% 46.32/6.22 ( ! [X2 : $i,X1 : $i] : (($false = (irel @ sK1 @ X1)) | ($true = ((!! @ $i @ (^[Y0 : $i]: ((irel @ X2 @ Y0) => (a0 @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ X2 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a1 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b0 @ Y1)))))))))))) | ($true = (((!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => (a0 @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a1 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b0 @ Y1))))))))))) & (((!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => (a3 @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b0 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b3 @ Y1))))))))))) & ((!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => (f @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => (a0 @ Y0))))))))) | ((irel @ sK1 @ X2) = $false)) )),
% 46.32/6.22 inference(binary_proxy_clausification,[],[f438])).
% 46.32/6.22 thf(f438,plain,(
% 46.32/6.22 ( ! [X2 : $i,X1 : $i] : (($true = (((!! @ $i @ (^[Y0 : $i]: ((irel @ X2 @ Y0) => (a0 @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ X2 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a1 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b0 @ Y1))))))))))) & (((!! @ $i @ (^[Y0 : $i]: ((irel @ X2 @ Y0) => (a1 @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ X2 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a2 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b1 @ Y1))))))))))) & ((!! @ $i @ (^[Y0 : $i]: ((irel @ X2 @ Y0) => (a2 @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ X2 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a3 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b2 @ Y1)))))))))))))) | ($false = (irel @ sK1 @ X1)) | ($true = (((!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => (a0 @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a1 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b0 @ Y1))))))))))) & (((!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => (a3 @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b0 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b3 @ Y1))))))))))) & ((!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => (f @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => (a0 @ Y0))))))))) | ((irel @ sK1 @ X2) = $false)) )),
% 46.32/6.22 inference(binary_proxy_clausification,[],[f436])).
% 46.32/6.22 thf(f1044,plain,(
% 46.32/6.22 spl0_13 | spl0_13),
% 46.32/6.22 inference(avatar_split_clause,[],[f1043,f247,f247])).
% 46.32/6.22 thf(f1043,plain,(
% 46.32/6.22 ( ! [X2 : $i,X3 : $i,X1 : $i,X4 : $i] : (($true = (a0 @ X4)) | ($true = (irel @ (sK8 @ X1) @ (sK9 @ X1))) | ($true = (a0 @ X3)) | ((irel @ X1 @ X4) = $false) | ($false = (irel @ X2 @ X3)) | ($true = (irel @ (sK8 @ X2) @ (sK9 @ X2))) | ($false = (irel @ sK1 @ X1)) | ((irel @ sK1 @ X2) = $false)) )),
% 46.32/6.22 inference(binary_proxy_clausification,[],[f1037])).
% 46.32/6.22 thf(f1037,plain,(
% 46.32/6.22 ( ! [X2 : $i,X3 : $i,X1 : $i,X4 : $i] : (($true = (irel @ (sK8 @ X2) @ (sK9 @ X2))) | ($false = (irel @ sK1 @ X1)) | ($true = (a0 @ X4)) | (((irel @ (sK8 @ X1) @ (sK9 @ X1)) => (a1 @ (sK9 @ X1))) = $false) | ($true = (a0 @ X3)) | ((irel @ sK1 @ X2) = $false) | ((irel @ X1 @ X4) = $false) | ($false = (irel @ X2 @ X3))) )),
% 46.32/6.22 inference(binary_proxy_clausification,[],[f1035])).
% 46.32/6.22 thf(f1035,plain,(
% 46.32/6.22 ( ! [X2 : $i,X3 : $i,X1 : $i,X4 : $i] : (($true = (a0 @ X4)) | (((irel @ (sK8 @ X2) @ (sK9 @ X2)) => (a1 @ (sK9 @ X2))) = $false) | ($false = (irel @ X2 @ X3)) | (((irel @ (sK8 @ X1) @ (sK9 @ X1)) => (a1 @ (sK9 @ X1))) = $false) | ((irel @ sK1 @ X2) = $false) | ((irel @ X1 @ X4) = $false) | ($true = (a0 @ X3)) | ($false = (irel @ sK1 @ X1))) )),
% 46.32/6.22 inference(beta_eta_normalization,[],[f1034])).
% 46.32/6.22 thf(f1034,plain,(
% 46.32/6.22 ( ! [X2 : $i,X3 : $i,X1 : $i,X4 : $i] : (((irel @ sK1 @ X2) = $false) | ($true = (a0 @ X4)) | (((^[Y0 : $i]: ((irel @ (sK8 @ X1) @ Y0) => (a1 @ Y0))) @ (sK9 @ X1)) = $false) | ($true = (a0 @ X3)) | ($false = (irel @ sK1 @ X1)) | (((irel @ (sK8 @ X2) @ (sK9 @ X2)) => (a1 @ (sK9 @ X2))) = $false) | ($false = (irel @ X2 @ X3)) | ((irel @ X1 @ X4) = $false)) )),
% 46.32/6.22 inference(sigma_clausification,[],[f1033])).
% 46.32/6.22 thf(f1033,plain,(
% 46.32/6.22 ( ! [X2 : $i,X3 : $i,X1 : $i,X4 : $i] : (($true = (a0 @ X4)) | ($false = (!! @ $i @ (^[Y0 : $i]: ((irel @ (sK8 @ X1) @ Y0) => (a1 @ Y0))))) | ($true = (a0 @ X3)) | ($false = (irel @ sK1 @ X1)) | ((irel @ sK1 @ X2) = $false) | ((irel @ X1 @ X4) = $false) | ($false = (irel @ X2 @ X3)) | (((irel @ (sK8 @ X2) @ (sK9 @ X2)) => (a1 @ (sK9 @ X2))) = $false)) )),
% 46.32/6.22 inference(beta_eta_normalization,[],[f1032])).
% 46.32/6.22 thf(f1032,plain,(
% 46.32/6.22 ( ! [X2 : $i,X3 : $i,X1 : $i,X4 : $i] : (($false = (irel @ sK1 @ X1)) | ($true = (a0 @ X3)) | ($false = ((^[Y0 : $i]: ((irel @ (sK8 @ X2) @ Y0) => (a1 @ Y0))) @ (sK9 @ X2))) | ($false = (!! @ $i @ (^[Y0 : $i]: ((irel @ (sK8 @ X1) @ Y0) => (a1 @ Y0))))) | ($false = (irel @ X2 @ X3)) | ((irel @ sK1 @ X2) = $false) | ((irel @ X1 @ X4) = $false) | ($true = (a0 @ X4))) )),
% 46.32/6.22 inference(sigma_clausification,[],[f1031])).
% 46.32/6.22 thf(f1031,plain,(
% 46.32/6.22 ( ! [X2 : $i,X3 : $i,X1 : $i,X4 : $i] : (($false = (irel @ X2 @ X3)) | ($true = (a0 @ X4)) | ($false = (!! @ $i @ (^[Y0 : $i]: ((irel @ (sK8 @ X2) @ Y0) => (a1 @ Y0))))) | ($false = (!! @ $i @ (^[Y0 : $i]: ((irel @ (sK8 @ X1) @ Y0) => (a1 @ Y0))))) | ((irel @ sK1 @ X2) = $false) | ((irel @ X1 @ X4) = $false) | ($false = (irel @ sK1 @ X1)) | ($true = (a0 @ X3))) )),
% 46.32/6.22 inference(binary_proxy_clausification,[],[f1022])).
% 46.32/6.22 thf(f1022,plain,(
% 46.32/6.22 ( ! [X2 : $i,X3 : $i,X1 : $i,X4 : $i] : (($false = (irel @ sK1 @ X1)) | ($true = (a0 @ X4)) | ((irel @ X1 @ X4) = $false) | ($false = ((!! @ $i @ (^[Y0 : $i]: ((irel @ (sK8 @ X1) @ Y0) => (a1 @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ (sK8 @ X1) @ Y0) => (b0 @ Y0))))))) | ($true = (a0 @ X3)) | ($false = (!! @ $i @ (^[Y0 : $i]: ((irel @ (sK8 @ X2) @ Y0) => (a1 @ Y0))))) | ((irel @ sK1 @ X2) = $false) | ($false = (irel @ X2 @ X3))) )),
% 46.32/6.22 inference(binary_proxy_clausification,[],[f998])).
% 46.32/6.22 thf(f998,plain,(
% 46.32/6.22 ( ! [X2 : $i,X3 : $i,X1 : $i,X4 : $i] : ((((irel @ X1 @ (sK8 @ X1)) => ((!! @ $i @ (^[Y0 : $i]: ((irel @ (sK8 @ X1) @ Y0) => (a1 @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ (sK8 @ X1) @ Y0) => (b0 @ Y0))))))) = $false) | ($true = (a0 @ X4)) | ($true = (a0 @ X3)) | ($false = (irel @ sK1 @ X1)) | ($false = (irel @ X2 @ X3)) | ($false = (!! @ $i @ (^[Y0 : $i]: ((irel @ (sK8 @ X2) @ Y0) => (a1 @ Y0))))) | ((irel @ sK1 @ X2) = $false) | ((irel @ X1 @ X4) = $false)) )),
% 46.32/6.22 inference(binary_proxy_clausification,[],[f996])).
% 46.32/6.22 thf(f996,plain,(
% 46.32/6.22 ( ! [X2 : $i,X3 : $i,X1 : $i,X4 : $i] : (($false = (irel @ sK1 @ X1)) | ((irel @ X1 @ X4) = $false) | ($false = (irel @ X2 @ X3)) | ($false = ((!! @ $i @ (^[Y0 : $i]: ((irel @ (sK8 @ X2) @ Y0) => (a1 @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ (sK8 @ X2) @ Y0) => (b0 @ Y0))))))) | ($true = (a0 @ X4)) | ($true = (a0 @ X3)) | (((irel @ X1 @ (sK8 @ X1)) => ((!! @ $i @ (^[Y0 : $i]: ((irel @ (sK8 @ X1) @ Y0) => (a1 @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ (sK8 @ X1) @ Y0) => (b0 @ Y0))))))) = $false) | ((irel @ sK1 @ X2) = $false)) )),
% 46.32/6.22 inference(beta_eta_normalization,[],[f995])).
% 46.32/6.22 thf(f995,plain,(
% 46.32/6.22 ( ! [X2 : $i,X3 : $i,X1 : $i,X4 : $i] : (($false = ((!! @ $i @ (^[Y0 : $i]: ((irel @ (sK8 @ X2) @ Y0) => (a1 @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ (sK8 @ X2) @ Y0) => (b0 @ Y0))))))) | ((irel @ X1 @ X4) = $false) | ($true = (a0 @ X4)) | ($false = (irel @ X2 @ X3)) | ($true = (a0 @ X3)) | ($false = (irel @ sK1 @ X1)) | (((^[Y0 : $i]: ((irel @ X1 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a1 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b0 @ Y1)))))))) @ (sK8 @ X1)) = $false) | ((irel @ sK1 @ X2) = $false)) )),
% 46.32/6.22 inference(sigma_clausification,[],[f994])).
% 46.32/6.22 thf(f994,plain,(
% 46.32/6.22 ( ! [X2 : $i,X3 : $i,X1 : $i,X4 : $i] : (((irel @ sK1 @ X2) = $false) | ($false = (irel @ sK1 @ X1)) | ((!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a1 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b0 @ Y1))))))))) = $false) | ((irel @ X1 @ X4) = $false) | ($true = (a0 @ X3)) | ($false = ((!! @ $i @ (^[Y0 : $i]: ((irel @ (sK8 @ X2) @ Y0) => (a1 @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ (sK8 @ X2) @ Y0) => (b0 @ Y0))))))) | ($false = (irel @ X2 @ X3)) | ($true = (a0 @ X4))) )),
% 46.32/6.22 inference(not_proxy_clausification,[],[f993])).
% 46.32/6.22 thf(f993,plain,(
% 46.32/6.22 ( ! [X2 : $i,X3 : $i,X1 : $i,X4 : $i] : (((irel @ sK1 @ X2) = $false) | ($true = (a0 @ X4)) | ($true = (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a1 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b0 @ Y1))))))))))) | ((irel @ X1 @ X4) = $false) | ($false = ((!! @ $i @ (^[Y0 : $i]: ((irel @ (sK8 @ X2) @ Y0) => (a1 @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ (sK8 @ X2) @ Y0) => (b0 @ Y0))))))) | ($false = (irel @ X2 @ X3)) | ($false = (irel @ sK1 @ X1)) | ($true = (a0 @ X3))) )),
% 46.32/6.22 inference(binary_proxy_clausification,[],[f992])).
% 46.32/6.22 thf(f992,plain,(
% 46.32/6.22 ( ! [X2 : $i,X3 : $i,X1 : $i,X4 : $i] : (($true = ((irel @ X1 @ X4) => (a0 @ X4))) | ((irel @ sK1 @ X2) = $false) | ($false = (irel @ sK1 @ X1)) | ($true = (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a1 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b0 @ Y1))))))))))) | ($false = ((!! @ $i @ (^[Y0 : $i]: ((irel @ (sK8 @ X2) @ Y0) => (a1 @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ (sK8 @ X2) @ Y0) => (b0 @ Y0))))))) | ($true = (a0 @ X3)) | ($false = (irel @ X2 @ X3))) )),
% 46.32/6.22 inference(beta_eta_normalization,[],[f991])).
% 46.32/6.22 thf(f991,plain,(
% 46.32/6.22 ( ! [X2 : $i,X3 : $i,X1 : $i,X4 : $i] : (($false = ((!! @ $i @ (^[Y0 : $i]: ((irel @ (sK8 @ X2) @ Y0) => (a1 @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ (sK8 @ X2) @ Y0) => (b0 @ Y0))))))) | ($true = (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a1 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b0 @ Y1))))))))))) | ((irel @ sK1 @ X2) = $false) | ($true = ((^[Y0 : $i]: ((irel @ X1 @ Y0) => (a0 @ Y0))) @ X4)) | ($false = (irel @ X2 @ X3)) | ($true = (a0 @ X3)) | ($false = (irel @ sK1 @ X1))) )),
% 46.32/6.22 inference(pi_clausification,[],[f990])).
% 46.32/6.22 thf(f990,plain,(
% 46.32/6.22 ( ! [X2 : $i,X3 : $i,X1 : $i] : (($false = (irel @ sK1 @ X1)) | ($true = (a0 @ X3)) | ($true = (!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => (a0 @ Y0))))) | ($true = (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a1 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b0 @ Y1))))))))))) | ((irel @ sK1 @ X2) = $false) | ($false = (irel @ X2 @ X3)) | ($false = ((!! @ $i @ (^[Y0 : $i]: ((irel @ (sK8 @ X2) @ Y0) => (a1 @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ (sK8 @ X2) @ Y0) => (b0 @ Y0)))))))) )),
% 46.32/6.22 inference(binary_proxy_clausification,[],[f988])).
% 46.32/6.22 thf(f988,plain,(
% 46.32/6.22 ( ! [X2 : $i,X3 : $i,X1 : $i] : (((irel @ sK1 @ X2) = $false) | ($true = ((!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => (a0 @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a1 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b0 @ Y1)))))))))))) | ($true = (a0 @ X3)) | ($false = (irel @ X2 @ X3)) | ($false = ((!! @ $i @ (^[Y0 : $i]: ((irel @ (sK8 @ X2) @ Y0) => (a1 @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ (sK8 @ X2) @ Y0) => (b0 @ Y0))))))) | ($false = (irel @ sK1 @ X1))) )),
% 46.32/6.22 inference(binary_proxy_clausification,[],[f987])).
% 46.32/6.22 thf(f1041,plain,(
% 46.32/6.22 spl0_14 | spl0_14),
% 46.32/6.22 inference(avatar_split_clause,[],[f1038,f251,f251])).
% 46.32/6.22 thf(f1038,plain,(
% 46.32/6.22 ( ! [X2 : $i,X3 : $i,X1 : $i,X4 : $i] : (((irel @ X1 @ X4) = $false) | ($false = (irel @ sK1 @ X1)) | ($true = (a0 @ X3)) | ($true = (a0 @ X4)) | ((a1 @ (sK9 @ X1)) = $false) | ((a1 @ (sK9 @ X2)) = $false) | ($false = (irel @ X2 @ X3)) | ((irel @ sK1 @ X2) = $false)) )),
% 46.32/6.22 inference(binary_proxy_clausification,[],[f1036])).
% 46.32/6.22 thf(f1036,plain,(
% 46.32/6.22 ( ! [X2 : $i,X3 : $i,X1 : $i,X4 : $i] : (($true = (a0 @ X3)) | ((a1 @ (sK9 @ X2)) = $false) | ($true = (a0 @ X4)) | ($false = (irel @ sK1 @ X1)) | (((irel @ (sK8 @ X1) @ (sK9 @ X1)) => (a1 @ (sK9 @ X1))) = $false) | ($false = (irel @ X2 @ X3)) | ((irel @ X1 @ X4) = $false) | ((irel @ sK1 @ X2) = $false)) )),
% 46.32/6.22 inference(binary_proxy_clausification,[],[f1035])).
% 46.32/6.22 thf(f1011,plain,(
% 46.32/6.22 spl0_15 | spl0_15),
% 46.32/6.22 inference(avatar_split_clause,[],[f1010,f260,f260])).
% 46.32/6.22 thf(f1010,plain,(
% 46.32/6.22 ( ! [X2 : $i,X3 : $i,X1 : $i,X6 : $i,X4 : $i,X5 : $i] : (($true = (b0 @ X6)) | ($false = (irel @ (sK8 @ X1) @ X6)) | ($false = (irel @ sK1 @ X1)) | ((irel @ sK1 @ X2) = $false) | ($true = (a0 @ X4)) | ($true = (a0 @ X3)) | ($false = (irel @ X2 @ X3)) | ($false = (irel @ (sK8 @ X2) @ X5)) | ((irel @ X1 @ X4) = $false) | ($true = (b0 @ X5))) )),
% 46.32/6.22 inference(binary_proxy_clausification,[],[f1009])).
% 46.32/6.22 thf(f1009,plain,(
% 46.32/6.22 ( ! [X2 : $i,X3 : $i,X1 : $i,X6 : $i,X4 : $i,X5 : $i] : (($false = (irel @ (sK8 @ X2) @ X5)) | ($true = ((irel @ (sK8 @ X1) @ X6) => (b0 @ X6))) | ((irel @ sK1 @ X2) = $false) | ($false = (irel @ sK1 @ X1)) | ((irel @ X1 @ X4) = $false) | ($true = (b0 @ X5)) | ($false = (irel @ X2 @ X3)) | ($true = (a0 @ X3)) | ($true = (a0 @ X4))) )),
% 46.32/6.22 inference(beta_eta_normalization,[],[f1008])).
% 46.32/6.22 thf(f1008,plain,(
% 46.32/6.22 ( ! [X2 : $i,X3 : $i,X1 : $i,X6 : $i,X4 : $i,X5 : $i] : (($true = (a0 @ X4)) | ($true = ((^[Y0 : $i]: ((irel @ (sK8 @ X1) @ Y0) => (b0 @ Y0))) @ X6)) | ($true = (a0 @ X3)) | ((irel @ sK1 @ X2) = $false) | ($true = (b0 @ X5)) | ($false = (irel @ X2 @ X3)) | ($false = (irel @ sK1 @ X1)) | ($false = (irel @ (sK8 @ X2) @ X5)) | ((irel @ X1 @ X4) = $false)) )),
% 46.32/6.22 inference(pi_clausification,[],[f1007])).
% 46.32/6.22 thf(f1007,plain,(
% 46.32/6.22 ( ! [X2 : $i,X3 : $i,X1 : $i,X4 : $i,X5 : $i] : (($true = (a0 @ X3)) | ((irel @ X1 @ X4) = $false) | ($false = (irel @ (sK8 @ X2) @ X5)) | ($true = (!! @ $i @ (^[Y0 : $i]: ((irel @ (sK8 @ X1) @ Y0) => (b0 @ Y0))))) | ($false = (irel @ X2 @ X3)) | ($true = (b0 @ X5)) | ($false = (irel @ sK1 @ X1)) | ((irel @ sK1 @ X2) = $false) | ($true = (a0 @ X4))) )),
% 46.32/6.22 inference(not_proxy_clausification,[],[f1006])).
% 46.32/6.22 thf(f1006,plain,(
% 46.32/6.22 ( ! [X2 : $i,X3 : $i,X1 : $i,X4 : $i,X5 : $i] : (((irel @ sK1 @ X2) = $false) | ($false = (irel @ (sK8 @ X2) @ X5)) | ((~ (!! @ $i @ (^[Y0 : $i]: ((irel @ (sK8 @ X1) @ Y0) => (b0 @ Y0))))) = $false) | ($true = (a0 @ X3)) | ((irel @ X1 @ X4) = $false) | ($true = (b0 @ X5)) | ($false = (irel @ sK1 @ X1)) | ($false = (irel @ X2 @ X3)) | ($true = (a0 @ X4))) )),
% 46.32/6.22 inference(binary_proxy_clausification,[],[f1004])).
% 46.32/6.22 thf(f1004,plain,(
% 46.32/6.22 ( ! [X2 : $i,X3 : $i,X1 : $i,X4 : $i,X5 : $i] : (($false = (irel @ X2 @ X3)) | ((irel @ X1 @ X4) = $false) | ($true = (a0 @ X4)) | ($false = (irel @ sK1 @ X1)) | ($true = ((irel @ (sK8 @ X2) @ X5) => (b0 @ X5))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((irel @ (sK8 @ X1) @ Y0) => (b0 @ Y0))))) = $false) | ($true = (a0 @ X3)) | ((irel @ sK1 @ X2) = $false)) )),
% 46.32/6.22 inference(binary_proxy_clausification,[],[f1002])).
% 46.32/6.22 thf(f1002,plain,(
% 46.32/6.22 ( ! [X2 : $i,X3 : $i,X1 : $i,X4 : $i,X5 : $i] : (($true = (a0 @ X4)) | ($true = (a0 @ X3)) | ((irel @ sK1 @ X2) = $false) | ($false = (irel @ X2 @ X3)) | ((irel @ X1 @ X4) = $false) | ($false = ((!! @ $i @ (^[Y0 : $i]: ((irel @ (sK8 @ X1) @ Y0) => (a1 @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ (sK8 @ X1) @ Y0) => (b0 @ Y0))))))) | ($false = (irel @ sK1 @ X1)) | ($true = ((irel @ (sK8 @ X2) @ X5) => (b0 @ X5)))) )),
% 46.32/6.22 inference(binary_proxy_clausification,[],[f1001])).
% 46.32/6.22 thf(f1001,plain,(
% 46.32/6.22 ( ! [X2 : $i,X3 : $i,X1 : $i,X4 : $i,X5 : $i] : ((((irel @ X1 @ (sK8 @ X1)) => ((!! @ $i @ (^[Y0 : $i]: ((irel @ (sK8 @ X1) @ Y0) => (a1 @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ (sK8 @ X1) @ Y0) => (b0 @ Y0))))))) = $false) | ($false = (irel @ X2 @ X3)) | ($true = (a0 @ X4)) | ($true = (a0 @ X3)) | ((irel @ sK1 @ X2) = $false) | ($true = ((irel @ (sK8 @ X2) @ X5) => (b0 @ X5))) | ($false = (irel @ sK1 @ X1)) | ((irel @ X1 @ X4) = $false)) )),
% 46.32/6.22 inference(beta_eta_normalization,[],[f1000])).
% 46.32/6.22 thf(f1000,plain,(
% 46.32/6.22 ( ! [X2 : $i,X3 : $i,X1 : $i,X4 : $i,X5 : $i] : (($true = (a0 @ X4)) | ($true = ((^[Y0 : $i]: ((irel @ (sK8 @ X2) @ Y0) => (b0 @ Y0))) @ X5)) | ($false = (irel @ X2 @ X3)) | (((irel @ X1 @ (sK8 @ X1)) => ((!! @ $i @ (^[Y0 : $i]: ((irel @ (sK8 @ X1) @ Y0) => (a1 @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ (sK8 @ X1) @ Y0) => (b0 @ Y0))))))) = $false) | ($false = (irel @ sK1 @ X1)) | ((irel @ X1 @ X4) = $false) | ((irel @ sK1 @ X2) = $false) | ($true = (a0 @ X3))) )),
% 46.32/6.22 inference(pi_clausification,[],[f999])).
% 46.32/6.22 thf(f999,plain,(
% 46.32/6.22 ( ! [X2 : $i,X3 : $i,X1 : $i,X4 : $i] : (((irel @ sK1 @ X2) = $false) | ($true = (!! @ $i @ (^[Y0 : $i]: ((irel @ (sK8 @ X2) @ Y0) => (b0 @ Y0))))) | (((irel @ X1 @ (sK8 @ X1)) => ((!! @ $i @ (^[Y0 : $i]: ((irel @ (sK8 @ X1) @ Y0) => (a1 @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ (sK8 @ X1) @ Y0) => (b0 @ Y0))))))) = $false) | ($true = (a0 @ X3)) | ((irel @ X1 @ X4) = $false) | ($false = (irel @ X2 @ X3)) | ($false = (irel @ sK1 @ X1)) | ($true = (a0 @ X4))) )),
% 46.32/6.22 inference(not_proxy_clausification,[],[f997])).
% 46.32/6.22 thf(f997,plain,(
% 46.32/6.22 ( ! [X2 : $i,X3 : $i,X1 : $i,X4 : $i] : (($false = (irel @ X2 @ X3)) | ($true = (a0 @ X3)) | ($true = (a0 @ X4)) | ($false = (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ (sK8 @ X2) @ Y0) => (b0 @ Y0)))))) | ((irel @ X1 @ X4) = $false) | (((irel @ X1 @ (sK8 @ X1)) => ((!! @ $i @ (^[Y0 : $i]: ((irel @ (sK8 @ X1) @ Y0) => (a1 @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ (sK8 @ X1) @ Y0) => (b0 @ Y0))))))) = $false) | ((irel @ sK1 @ X2) = $false) | ($false = (irel @ sK1 @ X1))) )),
% 46.32/6.22 inference(binary_proxy_clausification,[],[f996])).
% 46.32/6.22 % SZS output end Proof for theBenchmark
% 46.32/6.22 % (12665)------------------------------
% 46.32/6.22 % (12665)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 46.32/6.22 % (12665)Termination reason: Refutation
% 46.32/6.22
% 46.32/6.22 % (12665)Memory used [KB]: 9722
% 46.32/6.22 % (12665)Time elapsed: 0.823 s
% 46.32/6.22 % (12665)Instructions burned: 1565 (million)
% 46.32/6.22 % (12665)------------------------------
% 46.32/6.22 % (12665)------------------------------
% 46.32/6.22 % (12479)Success in time 5.83 s
% 46.32/6.22 % Vampire---4.8 exiting
%------------------------------------------------------------------------------