TSTP Solution File: SYO069^4.001 by Vampire---4.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SYO069^4.001 : 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 : n003.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 09:02:42 EDT 2024
% Result : Theorem 16.83s 2.62s
% Output : Refutation 16.83s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.13 % Problem : SYO069^4.001 : TPTP v8.2.0. Released v4.0.0.
% 0.09/0.15 % 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
% 0.16/0.37 % Computer : n003.cluster.edu
% 0.16/0.37 % Model : x86_64 x86_64
% 0.16/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.37 % Memory : 8042.1875MB
% 0.16/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.37 % CPULimit : 300
% 0.16/0.37 % WCLimit : 300
% 0.16/0.37 % DateTime : Mon May 20 08:44:38 EDT 2024
% 0.16/0.37 % CPUTime :
% 0.16/0.37 This is a TH0_THM_EQU_NAR problem
% 0.16/0.37 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
% 0.16/0.39 % (13757)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)
% 0.16/0.39 % (13756)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)
% 0.16/0.39 % (13755)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on theBenchmark for (2999ds/183Mi)
% 0.16/0.39 % (13760)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)
% 0.16/0.39 % (13761)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on theBenchmark for (2999ds/18Mi)
% 0.16/0.39 % (13756)Instruction limit reached!
% 0.16/0.39 % (13756)------------------------------
% 0.16/0.39 % (13756)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.16/0.39 % (13756)Termination reason: Unknown
% 0.16/0.39 % (13756)Termination phase: Function definition elimination
% 0.16/0.39
% 0.16/0.39 % (13756)Memory used [KB]: 1023
% 0.16/0.39 % (13756)Time elapsed: 0.005 s
% 0.16/0.39 % (13756)Instructions burned: 5 (million)
% 0.16/0.39 % (13756)------------------------------
% 0.16/0.39 % (13756)------------------------------
% 0.16/0.39 % (13760)Refutation not found, incomplete strategy
% 0.16/0.39 % (13760)------------------------------
% 0.16/0.39 % (13760)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.16/0.39 % (13760)Termination reason: Refutation not found, incomplete strategy
% 0.16/0.39
% 0.16/0.39
% 0.16/0.39 % (13760)Memory used [KB]: 5500
% 0.16/0.39 % (13760)Time elapsed: 0.006 s
% 0.16/0.39 % (13760)Instructions burned: 6 (million)
% 0.16/0.39 % (13760)------------------------------
% 0.16/0.39 % (13760)------------------------------
% 0.16/0.39 % (13759)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)
% 0.16/0.39 % (13759)Instruction limit reached!
% 0.16/0.39 % (13759)------------------------------
% 0.16/0.39 % (13759)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.16/0.39 % (13759)Termination reason: Unknown
% 0.16/0.39 % (13759)Termination phase: shuffling
% 0.16/0.39
% 0.16/0.39 % (13759)Memory used [KB]: 1023
% 0.16/0.39 % (13759)Time elapsed: 0.003 s
% 0.16/0.39 % (13759)Instructions burned: 2 (million)
% 0.16/0.39 % (13759)------------------------------
% 0.16/0.39 % (13759)------------------------------
% 0.16/0.40 % (13758)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.16/0.40 % (13758)Instruction limit reached!
% 0.16/0.40 % (13758)------------------------------
% 0.16/0.40 % (13758)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.16/0.40 % (13758)Termination reason: Unknown
% 0.16/0.40 % (13758)Termination phase: shuffling
% 0.16/0.40
% 0.16/0.40 % (13758)Memory used [KB]: 1023
% 0.16/0.40 % (13758)Time elapsed: 0.004 s
% 0.16/0.40 % (13758)Instructions burned: 2 (million)
% 0.16/0.40 % (13758)------------------------------
% 0.16/0.40 % (13758)------------------------------
% 0.16/0.40 % (13761)Instruction limit reached!
% 0.16/0.40 % (13761)------------------------------
% 0.16/0.40 % (13761)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.16/0.40 % (13761)Termination reason: Unknown
% 0.16/0.40 % (13761)Termination phase: Saturation
% 0.16/0.40
% 0.16/0.40 % (13761)Memory used [KB]: 5500
% 0.16/0.40 % (13761)Time elapsed: 0.010 s
% 0.16/0.40 % (13761)Instructions burned: 18 (million)
% 0.16/0.40 % (13761)------------------------------
% 0.16/0.40 % (13761)------------------------------
% 0.16/0.40 % (13757)Instruction limit reached!
% 0.16/0.40 % (13757)------------------------------
% 0.16/0.40 % (13757)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.16/0.40 % (13757)Termination reason: Unknown
% 0.16/0.40 % (13757)Termination phase: Saturation
% 0.16/0.40
% 0.16/0.40 % (13757)Memory used [KB]: 5628
% 0.16/0.40 % (13757)Time elapsed: 0.015 s
% 0.16/0.40 % (13757)Instructions burned: 28 (million)
% 0.16/0.40 % (13757)------------------------------
% 0.16/0.40 % (13757)------------------------------
% 0.16/0.40 % (13762)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)
% 0.16/0.40 % (13762)Instruction limit reached!
% 0.16/0.40 % (13762)------------------------------
% 0.16/0.40 % (13762)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.16/0.40 % (13762)Termination reason: Unknown
% 0.16/0.40 % (13762)Termination phase: Property scanning
% 0.16/0.40
% 0.16/0.40 % (13762)Memory used [KB]: 1023
% 0.16/0.40 % (13762)Time elapsed: 0.004 s
% 0.16/0.40 % (13762)Instructions burned: 4 (million)
% 0.16/0.40 % (13762)------------------------------
% 0.16/0.40 % (13762)------------------------------
% 0.16/0.41 % (13763)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)
% 0.16/0.41 % (13765)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)
% 0.16/0.41 % (13765)Instruction limit reached!
% 0.16/0.41 % (13765)------------------------------
% 0.16/0.41 % (13765)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.16/0.41 % (13765)Termination reason: Unknown
% 0.16/0.41 % (13765)Termination phase: Property scanning
% 0.16/0.41
% 0.16/0.41 % (13765)Memory used [KB]: 1023
% 0.16/0.41 % (13765)Time elapsed: 0.004 s
% 0.16/0.41 % (13765)Instructions burned: 4 (million)
% 0.16/0.41 % (13765)------------------------------
% 0.16/0.41 % (13765)------------------------------
% 0.23/0.41 % (13764)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)
% 0.23/0.41 % (13767)lrs+10_1:1_av=off:chr=on:plsq=on:slsq=on:i=7:si=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.23/0.42 % (13768)lrs+10_1:1_acc=on:amm=sco:cs=on:tgt=full:i=16:si=on:rtra=on_0 on theBenchmark for (2999ds/16Mi)
% 0.23/0.42 % (13767)Instruction limit reached!
% 0.23/0.42 % (13767)------------------------------
% 0.23/0.42 % (13767)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.23/0.42 % (13767)Termination reason: Unknown
% 0.23/0.42 % (13767)Termination phase: Property scanning
% 0.23/0.42
% 0.23/0.42 % (13767)Memory used [KB]: 1023
% 0.23/0.42 % (13767)Time elapsed: 0.006 s
% 0.23/0.42 % (13767)Instructions burned: 9 (million)
% 0.23/0.42 % (13767)------------------------------
% 0.23/0.42 % (13767)------------------------------
% 0.23/0.42 % (13764)Instruction limit reached!
% 0.23/0.42 % (13764)------------------------------
% 0.23/0.42 % (13764)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.23/0.42 % (13764)Termination reason: Unknown
% 0.23/0.42 % (13764)Termination phase: Saturation
% 0.23/0.42
% 0.23/0.42 % (13764)Memory used [KB]: 5628
% 0.23/0.42 % (13764)Time elapsed: 0.010 s
% 0.23/0.42 % (13764)Instructions burned: 16 (million)
% 0.23/0.42 % (13764)------------------------------
% 0.23/0.42 % (13764)------------------------------
% 0.23/0.42 % (13766)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)
% 0.23/0.42 % (13769)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)
% 0.23/0.42 % (13769)Instruction limit reached!
% 0.23/0.42 % (13769)------------------------------
% 0.23/0.42 % (13769)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.23/0.42 % (13769)Termination reason: Unknown
% 0.23/0.42 % (13769)Termination phase: shuffling
% 0.23/0.42
% 0.23/0.42 % (13769)Memory used [KB]: 1023
% 0.23/0.42 % (13769)Time elapsed: 0.003 s
% 0.23/0.42 % (13769)Instructions burned: 3 (million)
% 0.23/0.42 % (13769)------------------------------
% 0.23/0.42 % (13769)------------------------------
% 0.23/0.42 % (13763)Instruction limit reached!
% 0.23/0.42 % (13763)------------------------------
% 0.23/0.42 % (13763)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.23/0.43 % (13763)Termination reason: Unknown
% 0.23/0.43 % (13763)Termination phase: Saturation
% 0.23/0.43
% 0.23/0.43 % (13763)Memory used [KB]: 5628
% 0.23/0.43 % (13763)Time elapsed: 0.020 s
% 0.23/0.43 % (13763)Instructions burned: 37 (million)
% 0.23/0.43 % (13763)------------------------------
% 0.23/0.43 % (13763)------------------------------
% 0.23/0.43 % (13768)Instruction limit reached!
% 0.23/0.43 % (13768)------------------------------
% 0.23/0.43 % (13768)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.23/0.43 % (13768)Termination reason: Unknown
% 0.23/0.43 % (13768)Termination phase: Saturation
% 0.23/0.43
% 0.23/0.43 % (13768)Memory used [KB]: 5884
% 0.23/0.43 % (13768)Time elapsed: 0.012 s
% 0.23/0.43 % (13768)Instructions burned: 16 (million)
% 0.23/0.43 % (13768)------------------------------
% 0.23/0.43 % (13768)------------------------------
% 0.23/0.43 % (13770)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)
% 0.23/0.43 % (13770)Instruction limit reached!
% 0.23/0.43 % (13770)------------------------------
% 0.23/0.43 % (13770)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.23/0.43 % (13770)Termination reason: Unknown
% 0.23/0.43 % (13770)Termination phase: Preprocessing 1
% 0.23/0.43
% 0.23/0.43 % (13770)Memory used [KB]: 1023
% 0.23/0.43 % (13770)Time elapsed: 0.004 s
% 0.23/0.43 % (13770)Instructions burned: 4 (million)
% 0.23/0.43 % (13770)------------------------------
% 0.23/0.43 % (13770)------------------------------
% 0.23/0.43 % (13772)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)
% 0.23/0.44 % (13772)Instruction limit reached!
% 0.23/0.44 % (13772)------------------------------
% 0.23/0.44 % (13772)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.23/0.44 % (13772)Termination reason: Unknown
% 0.23/0.44 % (13772)Termination phase: Property scanning
% 0.23/0.44
% 0.23/0.44 % (13772)Memory used [KB]: 1023
% 0.23/0.44 % (13772)Time elapsed: 0.004 s
% 0.23/0.44 % (13772)Instructions burned: 4 (million)
% 0.23/0.44 % (13772)------------------------------
% 0.23/0.44 % (13772)------------------------------
% 0.23/0.44 % (13773)dis+1004_1:1_cha=on:cs=on:fe=off:hud=1:i=4:si=on:rtra=on_0 on theBenchmark for (2999ds/4Mi)
% 0.23/0.44 % (13771)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)
% 0.23/0.44 % (13773)Instruction limit reached!
% 0.23/0.44 % (13773)------------------------------
% 0.23/0.44 % (13773)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.23/0.44 % (13773)Termination reason: Unknown
% 0.23/0.44 % (13773)Termination phase: Function definition elimination
% 0.23/0.44
% 0.23/0.44 % (13773)Memory used [KB]: 1023
% 0.23/0.44 % (13773)Time elapsed: 0.005 s
% 0.23/0.44 % (13773)Instructions burned: 5 (million)
% 0.23/0.44 % (13773)------------------------------
% 0.23/0.44 % (13773)------------------------------
% 0.23/0.44 % (13774)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)
% 0.23/0.45 % (13771)Instruction limit reached!
% 0.23/0.45 % (13771)------------------------------
% 0.23/0.45 % (13771)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.23/0.45 % (13771)Termination reason: Unknown
% 0.23/0.45 % (13771)Termination phase: Saturation
% 0.23/0.45
% 0.23/0.45 % (13771)Memory used [KB]: 1023
% 0.23/0.45 % (13771)Time elapsed: 0.007 s
% 0.23/0.45 % (13771)Instructions burned: 8 (million)
% 0.23/0.45 % (13771)------------------------------
% 0.23/0.45 % (13771)------------------------------
% 0.23/0.45 % (13776)lrs+1004_1:1_chr=on:prag=on:i=6:si=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 0.23/0.45 % (13777)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)
% 0.23/0.45 % (13776)Instruction limit reached!
% 0.23/0.45 % (13776)------------------------------
% 0.23/0.45 % (13776)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.23/0.45 % (13776)Termination reason: Unknown
% 0.23/0.45 % (13776)Termination phase: Property scanning
% 0.23/0.45
% 0.23/0.45 % (13776)Memory used [KB]: 1023
% 0.23/0.45 % (13776)Time elapsed: 0.005 s
% 0.23/0.45 % (13776)Instructions burned: 6 (million)
% 0.23/0.45 % (13776)------------------------------
% 0.23/0.45 % (13776)------------------------------
% 0.23/0.45 % (13775)lrs+10_1:1_e2e=on:sd=1:sgt=8:ss=axioms:i=710:si=on:rtra=on_0 on theBenchmark for (2999ds/710Mi)
% 0.23/0.46 % (13777)Refutation not found, incomplete strategy
% 0.23/0.46 % (13777)------------------------------
% 0.23/0.46 % (13777)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.23/0.46 % (13777)Termination reason: Refutation not found, incomplete strategy
% 0.23/0.46
% 0.23/0.46
% 0.23/0.46 % (13777)Memory used [KB]: 5500
% 0.23/0.46 % (13777)Time elapsed: 0.006 s
% 0.23/0.46 % (13777)Instructions burned: 7 (million)
% 0.23/0.46 % (13777)------------------------------
% 0.23/0.46 % (13777)------------------------------
% 0.23/0.46 % (13778)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)
% 0.23/0.46 % (13774)Instruction limit reached!
% 0.23/0.46 % (13774)------------------------------
% 0.23/0.46 % (13774)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.23/0.46 % (13774)Termination reason: Unknown
% 0.23/0.46 % (13774)Termination phase: Saturation
% 0.23/0.46
% 0.23/0.46 % (13774)Memory used [KB]: 5628
% 0.23/0.46 % (13774)Time elapsed: 0.015 s
% 0.23/0.46 % (13774)Instructions burned: 19 (million)
% 0.23/0.46 % (13774)------------------------------
% 0.23/0.46 % (13774)------------------------------
% 0.23/0.46 % (13775)Refutation not found, incomplete strategy
% 0.23/0.46 % (13775)------------------------------
% 0.23/0.46 % (13775)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.23/0.46 % (13775)Termination reason: Refutation not found, incomplete strategy
% 0.23/0.46
% 0.23/0.46
% 0.23/0.46 % (13775)Memory used [KB]: 5500
% 0.23/0.46 % (13775)Time elapsed: 0.037 s
% 0.23/0.46 % (13775)Instructions burned: 9 (million)
% 0.23/0.46 % (13775)------------------------------
% 0.23/0.46 % (13775)------------------------------
% 0.23/0.47 % (13780)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)
% 0.23/0.47 % (13778)Instruction limit reached!
% 0.23/0.47 % (13778)------------------------------
% 0.23/0.47 % (13778)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.23/0.47 % (13778)Termination reason: Unknown
% 0.23/0.47 % (13778)Termination phase: Saturation
% 0.23/0.47
% 0.23/0.47 % (13778)Memory used [KB]: 5628
% 0.23/0.47 % (13778)Time elapsed: 0.013 s
% 0.23/0.47 % (13778)Instructions burned: 21 (million)
% 0.23/0.47 % (13778)------------------------------
% 0.23/0.47 % (13778)------------------------------
% 0.23/0.47 % (13779)dis+10_1:1_cnfonf=lazy_gen:fe=off:i=5:si=on:rtra=on_0 on theBenchmark for (2999ds/5Mi)
% 0.23/0.47 % (13781)lrs+1002_1:128_au=on:c=on:fsr=off:piset=equals:i=377:si=on:rtra=on_0 on theBenchmark for (2999ds/377Mi)
% 0.23/0.47 % (13780)Refutation not found, incomplete strategy
% 0.23/0.47 % (13780)------------------------------
% 0.23/0.47 % (13780)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.23/0.47 % (13780)Termination reason: Refutation not found, incomplete strategy
% 0.23/0.47
% 0.23/0.47
% 0.23/0.47 % (13780)Memory used [KB]: 5500
% 0.23/0.47 % (13780)Time elapsed: 0.005 s
% 0.23/0.47 % (13780)Instructions burned: 5 (million)
% 0.23/0.47 % (13780)------------------------------
% 0.23/0.47 % (13780)------------------------------
% 0.23/0.47 % (13779)Instruction limit reached!
% 0.23/0.47 % (13779)------------------------------
% 0.23/0.47 % (13779)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.23/0.47 % (13779)Termination reason: Unknown
% 0.23/0.47 % (13779)Termination phase: Property scanning
% 0.23/0.47
% 0.23/0.47 % (13779)Memory used [KB]: 1023
% 0.23/0.47 % (13779)Time elapsed: 0.005 s
% 0.23/0.47 % (13779)Instructions burned: 6 (million)
% 0.23/0.47 % (13779)------------------------------
% 0.23/0.47 % (13779)------------------------------
% 0.23/0.48 % (13782)dis+1010_1:4_atotf=0.2:c=on:cbe=off:cnfonf=lazy_simp:fe=off:ins=2:ntd=on:s2a=on:s2at=5.0:sgt=5:ss=axioms:st=1.5:i=779:si=on:rtra=on_0 on theBenchmark for (2999ds/779Mi)
% 0.23/0.48 % (13784)lrs+1010_1:1_au=on:s2a=on:sd=1:sgt=50:ss=axioms:i=879:si=on:rtra=on_0 on theBenchmark for (2999ds/879Mi)
% 0.23/0.48 % (13783)lrs+10_1:1_cnfonf=lazy_not_be_gen:ntd=on:sp=const_min:ss=axioms:sup=off:i=19:si=on:rtra=on_0 on theBenchmark for (2999ds/19Mi)
% 0.23/0.49 % (13786)ott+21_1:1_apa=on:au=on:cnfonf=off:sos=on:i=3:si=on:rtra=on_0 on theBenchmark for (2998ds/3Mi)
% 0.23/0.49 % (13783)Refutation not found, incomplete strategy
% 0.23/0.49 % (13783)------------------------------
% 0.23/0.49 % (13783)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.23/0.49 % (13783)Termination reason: Refutation not found, incomplete strategy
% 0.23/0.49
% 0.23/0.49
% 0.23/0.49 % (13783)Memory used [KB]: 5500
% 0.23/0.49 % (13783)Time elapsed: 0.004 s
% 0.23/0.49 % (13783)Instructions burned: 5 (million)
% 0.23/0.49 % (13783)------------------------------
% 0.23/0.49 % (13783)------------------------------
% 0.23/0.49 % (13786)Instruction limit reached!
% 0.23/0.49 % (13786)------------------------------
% 0.23/0.49 % (13786)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.23/0.49 % (13786)Termination reason: Unknown
% 0.23/0.49 % (13786)Termination phase: Property scanning
% 0.23/0.49
% 0.23/0.49 % (13786)Memory used [KB]: 1023
% 0.23/0.49 % (13786)Time elapsed: 0.004 s
% 0.23/0.49 % (13786)Instructions burned: 4 (million)
% 0.23/0.49 % (13786)------------------------------
% 0.23/0.49 % (13786)------------------------------
% 0.23/0.50 % (13787)lrs+1010_1:8_cnfonf=off:hud=1:inj=on:tnu=5:i=30:si=on:rtra=on_0 on theBenchmark for (2998ds/30Mi)
% 0.23/0.50 % (13788)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)
% 0.23/0.50 % (13785)dis+1002_1:128_acc=on:er=filter:i=17:si=on:rtra=on_0 on theBenchmark for (2998ds/17Mi)
% 0.23/0.50 % (13787)Refutation not found, incomplete strategy
% 0.23/0.50 % (13787)------------------------------
% 0.23/0.50 % (13787)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.23/0.50 % (13787)Termination reason: Refutation not found, incomplete strategy
% 0.23/0.50
% 0.23/0.50
% 0.23/0.50 % (13787)Memory used [KB]: 5628
% 0.23/0.50 % (13787)Time elapsed: 0.006 s
% 0.23/0.50 % (13787)Instructions burned: 18 (million)
% 0.23/0.50 % (13787)------------------------------
% 0.23/0.50 % (13787)------------------------------
% 0.23/0.51 % (13755)Instruction limit reached!
% 0.23/0.51 % (13755)------------------------------
% 0.23/0.51 % (13755)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.23/0.51 % (13755)Termination reason: Unknown
% 0.23/0.51 % (13755)Termination phase: Saturation
% 0.23/0.51
% 0.23/0.51 % (13755)Memory used [KB]: 6652
% 0.23/0.51 % (13755)Time elapsed: 0.130 s
% 0.23/0.51 % (13755)Instructions burned: 185 (million)
% 0.23/0.51 % (13755)------------------------------
% 0.23/0.51 % (13755)------------------------------
% 0.23/0.51 % (13789)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)
% 0.23/0.52 % (13790)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)
% 0.23/0.52 % (13790)Instruction limit reached!
% 0.23/0.52 % (13790)------------------------------
% 0.23/0.52 % (13790)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.23/0.52 % (13790)Termination reason: Unknown
% 0.23/0.52 % (13790)Termination phase: Property scanning
% 0.23/0.52
% 0.23/0.52 % (13790)Memory used [KB]: 1023
% 0.23/0.52 % (13790)Time elapsed: 0.002 s
% 0.23/0.52 % (13790)Instructions burned: 3 (million)
% 0.23/0.52 % (13790)------------------------------
% 0.23/0.52 % (13790)------------------------------
% 0.23/0.52 % (13785)Instruction limit reached!
% 0.23/0.52 % (13785)------------------------------
% 0.23/0.52 % (13785)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.23/0.52 % (13785)Termination reason: Unknown
% 0.23/0.52 % (13785)Termination phase: Saturation
% 0.23/0.52
% 0.23/0.52 % (13785)Memory used [KB]: 5500
% 0.23/0.52 % (13785)Time elapsed: 0.007 s
% 0.23/0.52 % (13785)Instructions burned: 17 (million)
% 0.23/0.52 % (13785)------------------------------
% 0.23/0.52 % (13785)------------------------------
% 0.23/0.53 % (13791)lrs+10_8:1_au=on:avsq=on:e2e=on:ins=3:s2a=on:s2at=3.0:ss=axioms:i=20:si=on:rtra=on_0 on theBenchmark for (2998ds/20Mi)
% 0.23/0.53 % (13791)Refutation not found, incomplete strategy
% 0.23/0.53 % (13791)------------------------------
% 0.23/0.53 % (13791)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.23/0.53 % (13791)Termination reason: Refutation not found, incomplete strategy
% 0.23/0.53
% 0.23/0.53
% 0.23/0.53 % (13791)Memory used [KB]: 5500
% 0.23/0.53 % (13791)Time elapsed: 0.003 s
% 0.23/0.53 % (13791)Instructions burned: 6 (million)
% 0.23/0.53 % (13791)------------------------------
% 0.23/0.53 % (13791)------------------------------
% 0.23/0.53 % (13792)dis+1002_1:1_cbe=off:hud=5:nm=4:plsq=on:plsqr=7,1:prag=on:sp=const_max:tnu=1:i=86:si=on:rtra=on_0 on theBenchmark for (2998ds/86Mi)
% 0.23/0.54 % (13788)Instruction limit reached!
% 0.23/0.54 % (13788)------------------------------
% 0.23/0.54 % (13788)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.23/0.54 % (13788)Termination reason: Unknown
% 0.23/0.54 % (13788)Termination phase: Saturation
% 0.23/0.54
% 0.23/0.54 % (13788)Memory used [KB]: 6396
% 0.23/0.54 % (13788)Time elapsed: 0.042 s
% 0.23/0.54 % (13788)Instructions burned: 128 (million)
% 0.23/0.54 % (13788)------------------------------
% 0.23/0.54 % (13788)------------------------------
% 0.23/0.54 % (13793)lrs+1010_1:1_au=on:cbe=off:nm=2:ntd=on:sd=2:ss=axioms:st=5.0:i=107:si=on:rtra=on_0 on theBenchmark for (2998ds/107Mi)
% 0.23/0.54 % (13789)Instruction limit reached!
% 0.23/0.54 % (13789)------------------------------
% 0.23/0.54 % (13789)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.23/0.54 % (13789)Termination reason: Unknown
% 0.23/0.54 % (13789)Termination phase: Saturation
% 0.23/0.54
% 0.23/0.54 % (13789)Memory used [KB]: 5756
% 0.23/0.54 % (13789)Time elapsed: 0.031 s
% 0.23/0.54 % (13789)Instructions burned: 101 (million)
% 0.23/0.54 % (13789)------------------------------
% 0.23/0.54 % (13789)------------------------------
% 0.23/0.55 % (13793)Refutation not found, incomplete strategy
% 0.23/0.55 % (13793)------------------------------
% 0.23/0.55 % (13793)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.23/0.55 % (13793)Termination reason: Refutation not found, incomplete strategy
% 0.23/0.55
% 0.23/0.55
% 0.23/0.55 % (13793)Memory used [KB]: 5628
% 0.23/0.55 % (13793)Time elapsed: 0.006 s
% 0.23/0.55 % (13793)Instructions burned: 19 (million)
% 0.23/0.55 % (13793)------------------------------
% 0.23/0.55 % (13793)------------------------------
% 0.23/0.55 % (13794)lrs+2_1:1024_cnfonf=lazy_gen:fe=off:hud=15:plsq=on:plsqc=1:plsqr=32,1:i=39:si=on:rtra=on_0 on theBenchmark for (2998ds/39Mi)
% 0.23/0.55 % (13795)dis+10_1:1_cnfonf=lazy_not_gen:fsr=off:kws=precedence:nwc=5.0:s2a=on:ss=axioms:st=1.5:i=448:si=on:rtra=on_0 on theBenchmark for (2998ds/448Mi)
% 0.23/0.56 % (13792)Instruction limit reached!
% 0.23/0.56 % (13792)------------------------------
% 0.23/0.56 % (13792)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.23/0.56 % (13792)Termination reason: Unknown
% 0.23/0.56 % (13792)Termination phase: Saturation
% 0.23/0.56
% 0.23/0.56 % (13792)Memory used [KB]: 5884
% 0.23/0.56 % (13792)Time elapsed: 0.026 s
% 0.23/0.56 % (13792)Instructions burned: 86 (million)
% 0.23/0.56 % (13792)------------------------------
% 0.23/0.56 % (13792)------------------------------
% 0.23/0.56 % (13794)Instruction limit reached!
% 0.23/0.56 % (13794)------------------------------
% 0.23/0.56 % (13794)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.23/0.56 % (13794)Termination reason: Unknown
% 0.23/0.56 % (13794)Termination phase: Saturation
% 0.23/0.56
% 0.23/0.56 % (13794)Memory used [KB]: 5756
% 0.23/0.56 % (13794)Time elapsed: 0.013 s
% 0.23/0.56 % (13794)Instructions burned: 40 (million)
% 0.23/0.56 % (13794)------------------------------
% 0.23/0.56 % (13794)------------------------------
% 0.23/0.56 % (13796)lrs+10_1:512_au=on:fde=unused:lma=on:nm=32:plsq=on:plsqc=1:plsqr=16121663,131072:sfv=off:sp=const_max:ss=axioms:st=3.0:tgt=full:i=46:si=on:rtra=on_0 on theBenchmark for (2998ds/46Mi)
% 0.23/0.57 % (13797)lrs+10_1:10_au=on:av=off:cbe=off:cnfonf=lazy_pi_sigma_gen:ntd=on:plsq=on:plsqc=1:plsqr=32,1:i=98:si=on:rtra=on_0 on theBenchmark for (2998ds/98Mi)
% 0.23/0.58 % (13798)ott+1002_1:1_apa=on:au=on:bd=off:cnfonf=off:fd=off:sos=on:sp=weighted_frequency:i=507:si=on:rtra=on_0 on theBenchmark for (2998ds/507Mi)
% 0.23/0.58 % (13796)Instruction limit reached!
% 0.23/0.58 % (13796)------------------------------
% 0.23/0.58 % (13796)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.23/0.58 % (13796)Termination reason: Unknown
% 0.23/0.58 % (13796)Termination phase: Saturation
% 0.23/0.58
% 0.23/0.58 % (13796)Memory used [KB]: 5756
% 0.23/0.58 % (13796)Time elapsed: 0.019 s
% 0.23/0.58 % (13796)Instructions burned: 48 (million)
% 0.23/0.58 % (13796)------------------------------
% 0.23/0.58 % (13796)------------------------------
% 0.23/0.58 % (13798)Refutation not found, incomplete strategy
% 0.23/0.58 % (13798)------------------------------
% 0.23/0.58 % (13798)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.23/0.58 % (13798)Termination reason: Refutation not found, incomplete strategy
% 0.23/0.58
% 0.23/0.58
% 0.23/0.58 % (13798)Memory used [KB]: 5628
% 0.23/0.58 % (13798)Time elapsed: 0.006 s
% 0.23/0.58 % (13798)Instructions burned: 18 (million)
% 0.23/0.58 % (13798)------------------------------
% 0.23/0.58 % (13798)------------------------------
% 0.23/0.59 % (13799)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)
% 0.23/0.59 % (13800)lrs+21_1:16_au=on:bd=off:piset=and:i=39:si=on:rtra=on_0 on theBenchmark for (2997ds/39Mi)
% 1.66/0.60 % (13797)Instruction limit reached!
% 1.66/0.60 % (13797)------------------------------
% 1.66/0.60 % (13797)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.66/0.60 % (13797)Termination reason: Unknown
% 1.66/0.60 % (13797)Termination phase: Saturation
% 1.66/0.60
% 1.66/0.60 % (13797)Memory used [KB]: 1279
% 1.66/0.60 % (13797)Time elapsed: 0.031 s
% 1.66/0.60 % (13797)Instructions burned: 98 (million)
% 1.66/0.60 % (13797)------------------------------
% 1.66/0.60 % (13797)------------------------------
% 1.66/0.60 % (13800)Instruction limit reached!
% 1.66/0.60 % (13800)------------------------------
% 1.66/0.60 % (13800)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.66/0.60 % (13800)Termination reason: Unknown
% 1.66/0.60 % (13800)Termination phase: Saturation
% 1.66/0.60
% 1.66/0.60 % (13800)Memory used [KB]: 5628
% 1.66/0.60 % (13800)Time elapsed: 0.011 s
% 1.66/0.60 % (13800)Instructions burned: 40 (million)
% 1.66/0.60 % (13800)------------------------------
% 1.66/0.60 % (13800)------------------------------
% 1.66/0.61 % (13801)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)
% 1.66/0.61 % (13801)Instruction limit reached!
% 1.66/0.61 % (13801)------------------------------
% 1.66/0.61 % (13801)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.66/0.61 % (13801)Termination reason: Unknown
% 1.66/0.61 % (13801)Termination phase: Property scanning
% 1.66/0.61
% 1.66/0.61 % (13801)Memory used [KB]: 1023
% 1.66/0.61 % (13801)Time elapsed: 0.003 s
% 1.66/0.61 % (13801)Instructions burned: 7 (million)
% 1.66/0.61 % (13801)------------------------------
% 1.66/0.61 % (13801)------------------------------
% 1.66/0.61 % (13802)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)
% 1.66/0.61 % (13802)Refutation not found, incomplete strategy
% 1.66/0.61 % (13802)------------------------------
% 1.66/0.61 % (13802)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.66/0.61 % (13802)Termination reason: Refutation not found, incomplete strategy
% 1.66/0.61
% 1.66/0.61
% 1.66/0.61 % (13802)Memory used [KB]: 5500
% 1.66/0.61 % (13802)Time elapsed: 0.004 s
% 1.66/0.61 % (13802)Instructions burned: 9 (million)
% 1.66/0.61 % (13802)------------------------------
% 1.66/0.61 % (13802)------------------------------
% 1.86/0.62 % (13803)dis+10_1:1_aac=none:cs=on:i=47:si=on:rtra=on_0 on theBenchmark for (2997ds/47Mi)
% 1.86/0.62 % (13804)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)
% 1.86/0.62 % (13781)Instruction limit reached!
% 1.86/0.62 % (13781)------------------------------
% 1.86/0.62 % (13781)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.86/0.62 % (13781)Termination reason: Unknown
% 1.86/0.62 % (13781)Termination phase: Saturation
% 1.86/0.62
% 1.86/0.62 % (13781)Memory used [KB]: 7291
% 1.86/0.62 % (13781)Time elapsed: 0.144 s
% 1.86/0.62 % (13781)Instructions burned: 377 (million)
% 1.86/0.62 % (13781)------------------------------
% 1.86/0.62 % (13781)------------------------------
% 1.86/0.63 % (13803)Instruction limit reached!
% 1.86/0.63 % (13803)------------------------------
% 1.86/0.63 % (13803)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.86/0.63 % (13803)Termination reason: Unknown
% 1.86/0.63 % (13803)Termination phase: Saturation
% 1.86/0.63
% 1.86/0.63 % (13803)Memory used [KB]: 5756
% 1.86/0.63 % (13803)Time elapsed: 0.014 s
% 1.86/0.63 % (13803)Instructions burned: 49 (million)
% 1.86/0.63 % (13803)------------------------------
% 1.86/0.63 % (13803)------------------------------
% 1.97/0.63 % (13805)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)
% 1.97/0.63 % (13804)Instruction limit reached!
% 1.97/0.63 % (13804)------------------------------
% 1.97/0.63 % (13804)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.97/0.63 % (13804)Termination reason: Unknown
% 1.97/0.63 % (13804)Termination phase: Saturation
% 1.97/0.63
% 1.97/0.63 % (13804)Memory used [KB]: 1151
% 1.97/0.63 % (13804)Time elapsed: 0.012 s
% 1.97/0.63 % (13804)Instructions burned: 45 (million)
% 1.97/0.63 % (13804)------------------------------
% 1.97/0.63 % (13804)------------------------------
% 1.97/0.64 % (13806)lrs+10_7:1_cnfonf=lazy_gen:fe=off:nwc=5.0:plsq=on:i=62:si=on:rtra=on_0 on theBenchmark for (2997ds/62Mi)
% 1.97/0.64 % (13807)lrs+1010_1:16_add=large:amm=off:anc=all_dependent:chr=on:fd=off:ins=2:sp=const_max:tnu=5:uhcvi=on:i=31:si=on:rtra=on_0 on theBenchmark for (2997ds/31Mi)
% 1.97/0.64 % (13799)Instruction limit reached!
% 1.97/0.64 % (13799)------------------------------
% 1.97/0.64 % (13799)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.97/0.64 % (13799)Termination reason: Unknown
% 1.97/0.64 % (13799)Termination phase: Saturation
% 1.97/0.64
% 1.97/0.64 % (13799)Memory used [KB]: 6012
% 1.97/0.64 % (13799)Time elapsed: 0.055 s
% 1.97/0.64 % (13799)Instructions burned: 151 (million)
% 1.97/0.64 % (13799)------------------------------
% 1.97/0.64 % (13799)------------------------------
% 1.97/0.65 % (13807)Instruction limit reached!
% 1.97/0.65 % (13807)------------------------------
% 1.97/0.65 % (13807)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.97/0.65 % (13807)Termination reason: Unknown
% 1.97/0.65 % (13807)Termination phase: Saturation
% 1.97/0.65
% 1.97/0.65 % (13807)Memory used [KB]: 5628
% 1.97/0.65 % (13807)Time elapsed: 0.010 s
% 1.97/0.65 % (13807)Instructions burned: 34 (million)
% 1.97/0.65 % (13807)------------------------------
% 1.97/0.65 % (13807)------------------------------
% 1.97/0.65 % (13808)dis+10_1:128_hud=1:i=96:si=on:rtra=on_0 on theBenchmark for (2997ds/96Mi)
% 1.97/0.66 % (13809)lrs+1002_1:4_au=on:cbe=off:cnfonf=lazy_pi_sigma_gen:hud=15:inj=on:nwc=4.0:s2a=on:sac=on:sp=reverse_arity:i=453:si=on:rtra=on_0 on theBenchmark for (2997ds/453Mi)
% 1.97/0.66 % (13806)Instruction limit reached!
% 1.97/0.66 % (13806)------------------------------
% 1.97/0.66 % (13806)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.97/0.66 % (13806)Termination reason: Unknown
% 1.97/0.66 % (13806)Termination phase: Saturation
% 1.97/0.66
% 1.97/0.66 % (13806)Memory used [KB]: 5756
% 1.97/0.66 % (13806)Time elapsed: 0.021 s
% 1.97/0.66 % (13806)Instructions burned: 63 (million)
% 1.97/0.66 % (13806)------------------------------
% 1.97/0.66 % (13806)------------------------------
% 1.97/0.67 % (13810)lrs-1004_1:1_au=on:bsd=on:cbe=off:cnfonf=off:fe=axiom:fsd=on:i=71:si=on:rtra=on_0 on theBenchmark for (2997ds/71Mi)
% 1.97/0.68 % (13808)Instruction limit reached!
% 1.97/0.68 % (13808)------------------------------
% 1.97/0.68 % (13808)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.97/0.68 % (13808)Termination reason: Unknown
% 1.97/0.68 % (13808)Termination phase: Saturation
% 1.97/0.68
% 1.97/0.68 % (13808)Memory used [KB]: 6012
% 1.97/0.68 % (13808)Time elapsed: 0.028 s
% 1.97/0.68 % (13808)Instructions burned: 97 (million)
% 1.97/0.68 % (13808)------------------------------
% 1.97/0.68 % (13808)------------------------------
% 1.97/0.68 % (13795)Instruction limit reached!
% 1.97/0.68 % (13795)------------------------------
% 1.97/0.68 % (13795)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.97/0.68 % (13795)Termination reason: Unknown
% 1.97/0.68 % (13795)Termination phase: Saturation
% 1.97/0.68
% 1.97/0.68 % (13795)Memory used [KB]: 6012
% 1.97/0.68 % (13795)Time elapsed: 0.134 s
% 1.97/0.68 % (13795)Instructions burned: 450 (million)
% 1.97/0.68 % (13795)------------------------------
% 1.97/0.68 % (13795)------------------------------
% 1.97/0.69 % (13811)dis+1002_1:1_bd=off:fsr=off:ntd=on:s2a=on:ss=axioms:i=83:si=on:rtra=on_0 on theBenchmark for (2997ds/83Mi)
% 1.97/0.69 % (13811)Refutation not found, incomplete strategy
% 1.97/0.69 % (13811)------------------------------
% 1.97/0.69 % (13811)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.97/0.69 % (13811)Termination reason: Refutation not found, incomplete strategy
% 1.97/0.69
% 1.97/0.69
% 1.97/0.69 % (13811)Memory used [KB]: 5500
% 1.97/0.69 % (13811)Time elapsed: 0.003 s
% 1.97/0.69 % (13811)Instructions burned: 6 (million)
% 1.97/0.69 % (13811)------------------------------
% 1.97/0.69 % (13811)------------------------------
% 1.97/0.69 % (13810)Instruction limit reached!
% 1.97/0.69 % (13810)------------------------------
% 1.97/0.69 % (13810)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.97/0.69 % (13810)Termination reason: Unknown
% 1.97/0.69 % (13810)Termination phase: Saturation
% 1.97/0.69
% 1.97/0.69 % (13810)Memory used [KB]: 5884
% 1.97/0.69 % (13810)Time elapsed: 0.025 s
% 1.97/0.69 % (13810)Instructions burned: 71 (million)
% 1.97/0.69 % (13810)------------------------------
% 1.97/0.69 % (13810)------------------------------
% 1.97/0.69 % (13812)lrs+10_1:128_cnfonf=lazy_not_gen_be_off:hud=1:ins=1:i=11:si=on:rtra=on_0 on theBenchmark for (2997ds/11Mi)
% 1.97/0.69 % (13812)Instruction limit reached!
% 1.97/0.69 % (13812)------------------------------
% 1.97/0.69 % (13812)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.97/0.69 % (13812)Termination reason: Unknown
% 1.97/0.69 % (13812)Termination phase: Saturation
% 1.97/0.69
% 1.97/0.69 % (13812)Memory used [KB]: 5500
% 1.97/0.69 % (13812)Time elapsed: 0.004 s
% 1.97/0.69 % (13812)Instructions burned: 11 (million)
% 1.97/0.69 % (13812)------------------------------
% 1.97/0.69 % (13812)------------------------------
% 1.97/0.70 % (13813)lrs+1010_1:1_au=on:cbe=off:cnfonf=lazy_not_gen_be_off:fsr=off:spb=non_intro:i=41:si=on:rtra=on_0 on theBenchmark for (2996ds/41Mi)
% 1.97/0.70 % (13814)lrs+1004_1:1_chr=on:prag=on:i=6:si=on:rtra=on_0 on theBenchmark for (2996ds/6Mi)
% 1.97/0.70 % (13814)Instruction limit reached!
% 1.97/0.70 % (13814)------------------------------
% 1.97/0.70 % (13814)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.97/0.70 % (13814)Termination reason: Unknown
% 1.97/0.70 % (13814)Termination phase: Property scanning
% 1.97/0.70
% 1.97/0.70 % (13814)Memory used [KB]: 1023
% 1.97/0.70 % (13814)Time elapsed: 0.003 s
% 1.97/0.70 % (13814)Instructions burned: 7 (million)
% 1.97/0.70 % (13814)------------------------------
% 1.97/0.70 % (13814)------------------------------
% 1.97/0.70 % (13816)dis+10_1:1_avsq=on:cnfonf=off:e2e=on:nm=32:i=150:si=on:rtra=on_0 on theBenchmark for (2996ds/150Mi)
% 1.97/0.71 % (13816)Refutation not found, incomplete strategy
% 1.97/0.71 % (13816)------------------------------
% 1.97/0.71 % (13816)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.97/0.71 % (13816)Termination reason: Refutation not found, incomplete strategy
% 1.97/0.71
% 1.97/0.71
% 1.97/0.71 % (13816)Memory used [KB]: 5628
% 1.97/0.71 % (13816)Time elapsed: 0.005 s
% 1.97/0.71 % (13816)Instructions burned: 16 (million)
% 1.97/0.71 % (13816)------------------------------
% 1.97/0.71 % (13816)------------------------------
% 1.97/0.71 % (13813)Instruction limit reached!
% 1.97/0.71 % (13813)------------------------------
% 1.97/0.71 % (13813)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.97/0.71 % (13813)Termination reason: Unknown
% 1.97/0.71 % (13813)Termination phase: Saturation
% 1.97/0.71
% 1.97/0.71 % (13813)Memory used [KB]: 5628
% 1.97/0.71 % (13813)Time elapsed: 0.013 s
% 1.97/0.71 % (13813)Instructions burned: 42 (million)
% 1.97/0.71 % (13813)------------------------------
% 1.97/0.71 % (13813)------------------------------
% 1.97/0.71 % (13817)ott+1010_1:1_au=on:s2a=on:sd=7:ss=axioms:st=1.5:i=343:si=on:rtra=on_0 on theBenchmark for (2996ds/343Mi)
% 2.49/0.71 % (13817)Refutation not found, incomplete strategy
% 2.49/0.71 % (13817)------------------------------
% 2.49/0.71 % (13817)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.49/0.71 % (13817)Termination reason: Refutation not found, incomplete strategy
% 2.49/0.71
% 2.49/0.71
% 2.49/0.71 % (13817)Memory used [KB]: 5500
% 2.49/0.71 % (13817)Time elapsed: 0.003 s
% 2.49/0.71 % (13817)Instructions burned: 6 (million)
% 2.49/0.71 % (13817)------------------------------
% 2.49/0.71 % (13817)------------------------------
% 2.49/0.72 % (13818)ott+1010_1:4_cbe=off:chr=on:hfsq=on:hfsqr=1,16:hud=3:sac=on:sp=unary_frequency:ss=axioms:st=5.0:tnu=2:i=109:si=on:rtra=on_0 on theBenchmark for (2996ds/109Mi)
% 2.49/0.72 % (13819)dis+10_1:1_au=on:c=on:e2e=on:fsr=off:sos=all:sp=const_frequency:ss=axioms:i=253:si=on:rtra=on_0 on theBenchmark for (2996ds/253Mi)
% 2.49/0.72 % (13819)Refutation not found, incomplete strategy
% 2.49/0.72 % (13819)------------------------------
% 2.49/0.72 % (13819)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.49/0.72 % (13819)Termination reason: Refutation not found, incomplete strategy
% 2.49/0.72
% 2.49/0.72
% 2.49/0.72 % (13819)Memory used [KB]: 5500
% 2.49/0.72 % (13819)Time elapsed: 0.003 s
% 2.49/0.72 % (13819)Instructions burned: 6 (million)
% 2.49/0.72 % (13819)------------------------------
% 2.49/0.72 % (13819)------------------------------
% 2.49/0.72 % (13820)lrs+10_1:1_au=on:cnfonf=off:sd=1:sgt=16:ss=axioms:i=140:si=on:rtra=on_0 on theBenchmark for (2996ds/140Mi)
% 2.49/0.72 % (13820)Refutation not found, incomplete strategy
% 2.49/0.72 % (13820)------------------------------
% 2.49/0.72 % (13820)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.49/0.72 % (13820)Termination reason: Refutation not found, incomplete strategy
% 2.49/0.72
% 2.49/0.72
% 2.49/0.72 % (13820)Memory used [KB]: 5628
% 2.49/0.72 % (13820)Time elapsed: 0.003 s
% 2.49/0.72 % (13820)Instructions burned: 7 (million)
% 2.49/0.72 % (13820)------------------------------
% 2.49/0.72 % (13820)------------------------------
% 2.49/0.73 % (13821)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 (2996ds/614Mi)
% 2.49/0.73 % (13822)lrs+1002_1:1_e2e=on:fde=unused:fe=axiom:prag=on:sd=1:sos=on:ss=axioms:st=2.0:i=202:si=on:rtra=on_0 on theBenchmark for (2996ds/202Mi)
% 2.49/0.73 % (13822)Refutation not found, incomplete strategy
% 2.49/0.73 % (13822)------------------------------
% 2.49/0.73 % (13822)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.49/0.73 % (13822)Termination reason: Refutation not found, incomplete strategy
% 2.49/0.73
% 2.49/0.73
% 2.49/0.73 % (13822)Memory used [KB]: 5500
% 2.49/0.73 % (13822)Time elapsed: 0.003 s
% 2.49/0.73 % (13822)Instructions burned: 6 (million)
% 2.49/0.73 % (13822)------------------------------
% 2.49/0.73 % (13822)------------------------------
% 2.49/0.74 % (13823)dis+1002_1:1_au=on:cs=on:ins=3:kws=inv_frequency:nwc=10.0:ss=axioms:st=3.0:i=339:si=on:rtra=on_0 on theBenchmark for (2996ds/339Mi)
% 2.49/0.75 % (13818)Instruction limit reached!
% 2.49/0.75 % (13818)------------------------------
% 2.49/0.75 % (13818)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.49/0.75 % (13818)Termination reason: Unknown
% 2.49/0.75 % (13818)Termination phase: Saturation
% 2.49/0.75
% 2.49/0.75 % (13818)Memory used [KB]: 6012
% 2.49/0.75 % (13818)Time elapsed: 0.032 s
% 2.49/0.75 % (13818)Instructions burned: 110 (million)
% 2.49/0.75 % (13818)------------------------------
% 2.49/0.75 % (13818)------------------------------
% 2.49/0.76 % (13824)dis+10_1:1_anc=none:cnfonf=lazy_gen:fd=preordered:fe=off:hud=10:ins=3:ixr=off:nwc=5.0:plsq=on:plsqc=1:plsqr=32,1:sp=const_frequency:uhcvi=on:i=283:si=on:rtra=on_0 on theBenchmark for (2996ds/283Mi)
% 2.49/0.76 % (13782)Instruction limit reached!
% 2.49/0.76 % (13782)------------------------------
% 2.49/0.76 % (13782)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.49/0.76 % (13782)Termination reason: Unknown
% 2.49/0.76 % (13782)Termination phase: Saturation
% 2.49/0.76
% 2.49/0.76 % (13782)Memory used [KB]: 7036
% 2.49/0.76 % (13782)Time elapsed: 0.273 s
% 2.49/0.76 % (13782)Instructions burned: 779 (million)
% 2.49/0.76 % (13782)------------------------------
% 2.49/0.76 % (13782)------------------------------
% 2.49/0.77 % (13825)dis+2_1:1_cha=on:hud=7:nwc=3.0:prag=on:tnu=2:i=134:si=on:rtra=on_0 on theBenchmark for (2996ds/134Mi)
% 2.49/0.77 % (13805)Instruction limit reached!
% 2.49/0.77 % (13805)------------------------------
% 2.49/0.77 % (13805)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.49/0.77 % (13805)Termination reason: Unknown
% 2.49/0.77 % (13805)Termination phase: Saturation
% 2.49/0.77
% 2.49/0.77 % (13805)Memory used [KB]: 2174
% 2.49/0.77 % (13805)Time elapsed: 0.141 s
% 2.49/0.77 % (13805)Instructions burned: 434 (million)
% 2.49/0.77 % (13805)------------------------------
% 2.49/0.77 % (13805)------------------------------
% 2.93/0.78 % (13826)dis+1010_1:64_cnfonf=lazy_simp:fd=off:i=298:si=on:rtra=on_0 on theBenchmark for (2995ds/298Mi)
% 2.93/0.78 % (13784)Refutation not found, non-redundant clauses discarded% (13784)------------------------------
% 2.93/0.78 % (13784)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.93/0.78 % (13784)Termination reason: Refutation not found, non-redundant clauses discarded
% 2.93/0.78
% 2.93/0.78 % (13784)Memory used [KB]: 8699
% 2.93/0.78 % (13784)Time elapsed: 0.294 s
% 2.93/0.78 % (13784)Instructions burned: 857 (million)
% 2.93/0.78 % (13784)------------------------------
% 2.93/0.78 % (13784)------------------------------
% 2.93/0.79 % (13827)lrs+2_1:8_erd=off:plsq=on:plsqr=32,1:sos=on:i=192:si=on:rtra=on_0 on theBenchmark for (2995ds/192Mi)
% 2.93/0.80 % (13809)Refutation not found, non-redundant clauses discarded% (13809)------------------------------
% 2.93/0.80 % (13809)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.93/0.80 % (13809)Termination reason: Refutation not found, non-redundant clauses discarded
% 2.93/0.80
% 2.93/0.80 % (13809)Memory used [KB]: 6780
% 2.93/0.80 % (13809)Time elapsed: 0.144 s
% 2.93/0.80 % (13809)Instructions burned: 444 (million)
% 2.93/0.80 % (13809)------------------------------
% 2.93/0.80 % (13809)------------------------------
% 2.93/0.81 % (13828)lrs+10_1:1_bd=off:hud=1:nm=0:prag=on:sd=2:sgt=32:sos=all:ss=axioms:i=258:si=on:rtra=on_0 on theBenchmark for (2995ds/258Mi)
% 2.93/0.81 % (13825)Instruction limit reached!
% 2.93/0.81 % (13825)------------------------------
% 2.93/0.81 % (13825)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.93/0.81 % (13825)Termination reason: Unknown
% 2.93/0.81 % (13825)Termination phase: Saturation
% 2.93/0.81
% 2.93/0.81 % (13825)Memory used [KB]: 6396
% 2.93/0.81 % (13825)Time elapsed: 0.043 s
% 2.93/0.81 % (13825)Instructions burned: 134 (million)
% 2.93/0.81 % (13825)------------------------------
% 2.93/0.81 % (13825)------------------------------
% 2.93/0.82 % (13829)lrs+1002_1:1024_au=on:cond=fast:ntd=on:piset=and:plsq=on:plsqc=1:plsqr=183491,1048576:sac=on:tgt=ground:i=90:si=on:rtra=on_0 on theBenchmark for (2995ds/90Mi)
% 2.93/0.85 % (13824)Instruction limit reached!
% 2.93/0.85 % (13824)------------------------------
% 2.93/0.85 % (13824)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.93/0.85 % (13824)Termination reason: Unknown
% 2.93/0.85 % (13824)Termination phase: Saturation
% 2.93/0.85
% 2.93/0.85 % (13824)Memory used [KB]: 6140
% 2.93/0.85 % (13824)Time elapsed: 0.092 s
% 2.93/0.85 % (13824)Instructions burned: 283 (million)
% 2.93/0.85 % (13824)------------------------------
% 2.93/0.85 % (13824)------------------------------
% 2.93/0.85 % (13823)Instruction limit reached!
% 2.93/0.85 % (13823)------------------------------
% 2.93/0.85 % (13823)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.93/0.85 % (13823)Termination reason: Unknown
% 2.93/0.85 % (13823)Termination phase: Saturation
% 2.93/0.85
% 2.93/0.85 % (13823)Memory used [KB]: 6780
% 2.93/0.85 % (13823)Time elapsed: 0.109 s
% 2.93/0.85 % (13823)Instructions burned: 340 (million)
% 2.93/0.85 % (13823)------------------------------
% 2.93/0.85 % (13823)------------------------------
% 2.93/0.85 % (13829)Instruction limit reached!
% 2.93/0.85 % (13829)------------------------------
% 2.93/0.85 % (13829)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.93/0.85 % (13829)Termination reason: Unknown
% 2.93/0.85 % (13829)Termination phase: Saturation
% 2.93/0.85
% 2.93/0.85 % (13829)Memory used [KB]: 6012
% 2.93/0.85 % (13829)Time elapsed: 0.036 s
% 2.93/0.85 % (13829)Instructions burned: 91 (million)
% 2.93/0.85 % (13829)------------------------------
% 2.93/0.85 % (13829)------------------------------
% 2.93/0.86 % (13830)dis+1004_16:1_avsq=on:avsqr=1,16:cnfonf=lazy_gen:cs=on:fe=off:tgt=ground:tnu=1:i=231:si=on:rtra=on_0 on theBenchmark for (2995ds/231Mi)
% 2.93/0.86 % (13827)Instruction limit reached!
% 2.93/0.86 % (13827)------------------------------
% 2.93/0.86 % (13827)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.93/0.86 % (13827)Termination reason: Unknown
% 2.93/0.86 % (13827)Termination phase: Saturation
% 2.93/0.86
% 2.93/0.86 % (13827)Memory used [KB]: 6396
% 2.93/0.86 % (13827)Time elapsed: 0.063 s
% 2.93/0.86 % (13827)Instructions burned: 192 (million)
% 2.93/0.86 % (13827)------------------------------
% 2.93/0.86 % (13827)------------------------------
% 2.93/0.86 % (13831)lrs+1002_1:1_au=on:s2a=on:sgt=32:slsq=on:slsqc=1:slsql=off:ss=axioms:i=458:si=on:rtra=on_0 on theBenchmark for (2995ds/458Mi)
% 3.56/0.86 % (13832)lrs+1010_1:16_add=large:amm=off:anc=all_dependent:chr=on:fd=off:ins=2:sp=const_max:tnu=5:uhcvi=on:i=31:si=on:rtra=on_0 on theBenchmark for (2995ds/31Mi)
% 3.56/0.87 % (13833)lrs+10_1:1_cnfonf=lazy_gen:kws=inv_precedence:nwc=10.0:s2a=on:sp=weighted_frequency:ss=axioms:i=297:si=on:rtra=on_0 on theBenchmark for (2995ds/297Mi)
% 3.56/0.87 % (13833)Refutation not found, incomplete strategy
% 3.56/0.87 % (13833)------------------------------
% 3.56/0.87 % (13833)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 3.56/0.87 % (13833)Termination reason: Refutation not found, incomplete strategy
% 3.56/0.87
% 3.56/0.87
% 3.56/0.87 % (13833)Memory used [KB]: 5628
% 3.56/0.87 % (13833)Time elapsed: 0.004 s
% 3.56/0.87 % (13833)Instructions burned: 7 (million)
% 3.56/0.87 % (13833)------------------------------
% 3.56/0.87 % (13833)------------------------------
% 3.56/0.87 % (13832)Instruction limit reached!
% 3.56/0.87 % (13832)------------------------------
% 3.56/0.87 % (13832)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 3.56/0.87 % (13832)Termination reason: Unknown
% 3.56/0.87 % (13832)Termination phase: Saturation
% 3.56/0.87
% 3.56/0.87 % (13832)Memory used [KB]: 5628
% 3.56/0.87 % (13832)Time elapsed: 0.009 s
% 3.56/0.87 % (13832)Instructions burned: 31 (million)
% 3.56/0.87 % (13832)------------------------------
% 3.56/0.87 % (13832)------------------------------
% 3.56/0.88 % (13834)dis+2_1:4_amm=off:au=on:cbe=off:cnfonf=lazy_gen:hfaw=0:hfsq=on:hfsql=off:plsq=on:plsqc=1:plsqr=35,4:sac=on:i=987:si=on:rtra=on_0 on theBenchmark for (2995ds/987Mi)
% 3.56/0.88 % (13835)lrs+10_1:1024_avsq=on:avsqc=4:avsqr=584411,1048576:bd=off:bet=on:br=off:chr=on:fsd=on:fsdmm=1:hud=10:nm=0:ntd=on:nwc=9.0:piset=or:plsq=on:plsqc=2:plsql=on:plsqr=852219,1048576:rawr=on:sp=const_frequency:spb=units:i=182:si=on:rtra=on_0 on theBenchmark for (2995ds/182Mi)
% 3.60/0.88 % (13826)Instruction limit reached!
% 3.60/0.88 % (13826)------------------------------
% 3.60/0.88 % (13826)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 3.60/0.88 % (13826)Termination reason: Unknown
% 3.60/0.88 % (13826)Termination phase: Saturation
% 3.60/0.88
% 3.60/0.88 % (13826)Memory used [KB]: 6524
% 3.60/0.88 % (13826)Time elapsed: 0.101 s
% 3.60/0.88 % (13826)Instructions burned: 300 (million)
% 3.60/0.88 % (13826)------------------------------
% 3.60/0.88 % (13826)------------------------------
% 3.60/0.89 % (13828)Instruction limit reached!
% 3.60/0.89 % (13828)------------------------------
% 3.60/0.89 % (13828)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 3.60/0.89 % (13828)Termination reason: Unknown
% 3.60/0.89 % (13828)Termination phase: Saturation
% 3.60/0.89
% 3.60/0.89 % (13828)Memory used [KB]: 6652
% 3.60/0.89 % (13828)Time elapsed: 0.080 s
% 3.60/0.89 % (13828)Instructions burned: 259 (million)
% 3.60/0.89 % (13828)------------------------------
% 3.60/0.89 % (13828)------------------------------
% 3.60/0.89 % (13836)dis+10_1:1_au=on:e2e=on:fde=none:nwc=10.0:s2a=on:s2at=2.0:i=182:si=on:rtra=on_0 on theBenchmark for (2994ds/182Mi)
% 3.60/0.89 % (13837)dis+10_1:8_cha=on:cnfonf=lazy_pi_sigma_gen:fe=axiom:hud=5:plsq=on:plsqr=32,1:prag=on:sos=all:i=154:si=on:rtra=on_0 on theBenchmark for (2994ds/154Mi)
% 3.85/0.93 % (13830)Instruction limit reached!
% 3.85/0.93 % (13830)------------------------------
% 3.85/0.93 % (13830)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 3.85/0.93 % (13830)Termination reason: Unknown
% 3.85/0.93 % (13830)Termination phase: Saturation
% 3.85/0.93
% 3.85/0.93 % (13830)Memory used [KB]: 6652
% 3.85/0.93 % (13830)Time elapsed: 0.077 s
% 3.85/0.93 % (13830)Instructions burned: 234 (million)
% 3.85/0.93 % (13830)------------------------------
% 3.85/0.93 % (13830)------------------------------
% 3.85/0.93 % (13821)Instruction limit reached!
% 3.85/0.93 % (13821)------------------------------
% 3.85/0.93 % (13821)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 3.85/0.93 % (13821)Termination reason: Unknown
% 3.85/0.93 % (13821)Termination phase: Saturation
% 3.85/0.93
% 3.85/0.93 % (13821)Memory used [KB]: 8315
% 3.85/0.93 % (13821)Time elapsed: 0.225 s
% 3.85/0.93 % (13821)Instructions burned: 615 (million)
% 3.85/0.93 % (13821)------------------------------
% 3.85/0.93 % (13821)------------------------------
% 3.85/0.93 % (13835)Instruction limit reached!
% 3.85/0.93 % (13835)------------------------------
% 3.85/0.93 % (13835)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 3.85/0.93 % (13835)Termination reason: Unknown
% 3.85/0.93 % (13835)Termination phase: Saturation
% 3.85/0.93
% 3.85/0.93 % (13835)Memory used [KB]: 6396
% 3.85/0.93 % (13835)Time elapsed: 0.055 s
% 3.85/0.93 % (13835)Instructions burned: 184 (million)
% 3.85/0.93 % (13835)------------------------------
% 3.85/0.93 % (13835)------------------------------
% 3.85/0.94 % (13838)dis+1003_1:64_atotf=0.4:au=on:fsr=off:hflw=5:hfsq=on:hfsqc=20:hfsql=off:plsq=on:plsqc=1:plsqr=32,1:i=79:si=on:rtra=on_0 on theBenchmark for (2994ds/79Mi)
% 3.85/0.94 % (13839)dis+1010_5:2_anc=all_dependent:awrs=converge:bd=off:bet=on:c=on:cha=on:cnfonf=lazy_not_gen_be_off:fe=axiom:hud=5:kws=precedence:piset=and:prag=on:s2a=on:sac=on:slsq=on:slsqc=1:sp=reverse_arity:ss=axioms:st=1.5:i=216:si=on:rtra=on_0 on theBenchmark for (2994ds/216Mi)
% 3.85/0.94 % (13840)lrs+1002_1:1_fe=off:hud=10:ins=2:sac=on:sp=const_frequency:i=114:si=on:rtra=on_0 on theBenchmark for (2994ds/114Mi)
% 3.85/0.94 % (13837)Instruction limit reached!
% 3.85/0.94 % (13837)------------------------------
% 3.85/0.94 % (13837)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 3.85/0.94 % (13837)Termination reason: Unknown
% 3.85/0.94 % (13837)Termination phase: Saturation
% 3.85/0.94
% 3.85/0.94 % (13837)Memory used [KB]: 6012
% 3.85/0.94 % (13837)Time elapsed: 0.049 s
% 3.85/0.94 % (13837)Instructions burned: 157 (million)
% 3.85/0.94 % (13837)------------------------------
% 3.85/0.94 % (13837)------------------------------
% 3.85/0.94 % (13766)Instruction limit reached!
% 3.85/0.94 % (13766)------------------------------
% 3.85/0.94 % (13766)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 3.85/0.94 % (13766)Termination reason: Unknown
% 3.85/0.94 % (13766)Termination phase: Saturation
% 3.85/0.94
% 3.85/0.94 % (13766)Memory used [KB]: 8315
% 3.85/0.94 % (13766)Time elapsed: 0.547 s
% 3.85/0.94 % (13766)Instructions burned: 1041 (million)
% 3.85/0.94 % (13766)------------------------------
% 3.85/0.94 % (13766)------------------------------
% 3.85/0.94 % (13840)Refutation not found, incomplete strategy
% 3.85/0.94 % (13840)------------------------------
% 3.85/0.94 % (13840)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 3.85/0.94 % (13840)Termination reason: Refutation not found, incomplete strategy
% 3.85/0.94
% 3.85/0.94
% 3.85/0.94 % (13840)Memory used [KB]: 5628
% 3.85/0.94 % (13840)Time elapsed: 0.006 s
% 3.85/0.94 % (13840)Instructions burned: 19 (million)
% 3.85/0.94 % (13840)------------------------------
% 3.85/0.94 % (13840)------------------------------
% 3.85/0.95 % (13836)Instruction limit reached!
% 3.85/0.95 % (13836)------------------------------
% 3.85/0.95 % (13836)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 3.85/0.95 % (13836)Termination reason: Unknown
% 3.85/0.95 % (13836)Termination phase: Saturation
% 3.85/0.95
% 3.85/0.95 % (13836)Memory used [KB]: 5884
% 3.85/0.95 % (13836)Time elapsed: 0.060 s
% 3.85/0.95 % (13836)Instructions burned: 183 (million)
% 3.85/0.95 % (13836)------------------------------
% 3.85/0.95 % (13836)------------------------------
% 3.85/0.95 % (13839)Refutation not found, incomplete strategy
% 3.85/0.95 % (13839)------------------------------
% 3.85/0.95 % (13839)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 3.85/0.95 % (13839)Termination reason: Refutation not found, incomplete strategy
% 3.85/0.95
% 3.85/0.95
% 3.85/0.95 % (13839)Memory used [KB]: 5628
% 3.85/0.95 % (13839)Time elapsed: 0.009 s
% 3.85/0.95 % (13839)Instructions burned: 27 (million)
% 3.85/0.95 % (13839)------------------------------
% 3.85/0.95 % (13839)------------------------------
% 3.85/0.95 % (13841)dis+1002_1:1_acc=on:au=on:bd=off:e2e=on:sgt=8:ss=axioms:i=922:si=on:rtra=on_0 on theBenchmark for (2994ds/922Mi)
% 3.85/0.95 % (13843)ott+1010_1:1024_au=on:av=off:c=on:cnfonf=conj_eager:piset=equals:s2a=on:sp=occurrence:spb=units:ss=axioms:i=164:si=on:rtra=on_0 on theBenchmark for (2994ds/164Mi)
% 3.85/0.95 % (13844)lrs+1004_1:1_cnfonf=lazy_pi_sigma_gen:fe=off:gs=on:hud=10:prag=on:tnu=1:i=50:si=on:rtra=on_0 on theBenchmark for (2994ds/50Mi)
% 3.85/0.95 % (13845)dis-30_1:1_acc=on:bd=off:fsr=off:plsq=on:plsqr=32,1:i=368:si=on:rtra=on_0 on theBenchmark for (2994ds/368Mi)
% 3.85/0.95 % (13843)Refutation not found, incomplete strategy
% 3.85/0.95 % (13843)------------------------------
% 3.85/0.95 % (13843)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 3.85/0.95 % (13843)Termination reason: Refutation not found, incomplete strategy
% 3.85/0.95
% 3.85/0.95
% 3.85/0.95 % (13843)Memory used [KB]: 1023
% 3.85/0.95 % (13843)Time elapsed: 0.003 s
% 3.85/0.95 % (13843)Instructions burned: 6 (million)
% 3.85/0.95 % (13843)------------------------------
% 3.85/0.95 % (13843)------------------------------
% 3.85/0.96 % (13842)lrs+10_1:128_au=on:bd=off:cnfonf=lazy_not_gen_be_off:nwc=10.0:piset=and:i=182:si=on:rtra=on_0 on theBenchmark for (2994ds/182Mi)
% 3.85/0.96 % (13838)Instruction limit reached!
% 3.85/0.96 % (13838)------------------------------
% 3.85/0.96 % (13838)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 3.85/0.96 % (13838)Termination reason: Unknown
% 3.85/0.96 % (13838)Termination phase: Saturation
% 3.85/0.96
% 3.85/0.96 % (13838)Memory used [KB]: 5884
% 3.85/0.96 % (13838)Time elapsed: 0.022 s
% 3.85/0.96 % (13838)Instructions burned: 82 (million)
% 3.85/0.96 % (13838)------------------------------
% 3.85/0.96 % (13838)------------------------------
% 3.85/0.96 % (13846)dis+2_1:1_bd=off:e2e=on:hud=1:nm=3:piset=or:prag=on:s2a=on:sp=const_max:i=1021:si=on:rtra=on_0 on theBenchmark for (2994ds/1021Mi)
% 3.85/0.97 % (13847)dis+10_1:1_cnfonf=lazy_gen:fe=off:plsq=on:plsqc=1:plsqr=32,1:prag=on:i=267:si=on:rtra=on_0 on theBenchmark for (2994ds/267Mi)
% 3.85/0.97 % (13844)Instruction limit reached!
% 3.85/0.97 % (13844)------------------------------
% 3.85/0.97 % (13844)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 3.85/0.97 % (13844)Termination reason: Unknown
% 3.85/0.97 % (13844)Termination phase: Saturation
% 3.85/0.97
% 3.85/0.97 % (13844)Memory used [KB]: 10234
% 3.85/0.97 % (13844)Time elapsed: 0.016 s
% 3.85/0.97 % (13844)Instructions burned: 51 (million)
% 3.85/0.97 % (13844)------------------------------
% 3.85/0.97 % (13844)------------------------------
% 3.85/0.98 % (13848)dis+21_1:5_au=on:ntd=on:nwc=5.0:s2a=on:ss=axioms:st=5.0:i=204:si=on:rtra=on_0 on theBenchmark for (2994ds/204Mi)
% 3.85/1.00 % (13831)Instruction limit reached!
% 3.85/1.00 % (13831)------------------------------
% 3.85/1.00 % (13831)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 3.85/1.00 % (13831)Termination reason: Unknown
% 3.85/1.00 % (13831)Termination phase: Saturation
% 3.85/1.00
% 3.85/1.00 % (13831)Memory used [KB]: 7419
% 3.85/1.00 % (13831)Time elapsed: 0.140 s
% 3.85/1.00 % (13831)Instructions burned: 459 (million)
% 3.85/1.00 % (13831)------------------------------
% 3.85/1.00 % (13831)------------------------------
% 3.85/1.01 % (13849)dis+2_1:1024_atotf=0.0802881:au=on:bs=unit_only:cnfonf=lazy_not_gen_be_off:fde=none:nwc=10.0:prag=on:i=26:si=on:rtra=on_0 on theBenchmark for (2993ds/26Mi)
% 4.57/1.02 % (13849)Instruction limit reached!
% 4.57/1.02 % (13849)------------------------------
% 4.57/1.02 % (13849)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 4.57/1.02 % (13849)Termination reason: Unknown
% 4.57/1.02 % (13849)Termination phase: Saturation
% 4.57/1.02
% 4.57/1.02 % (13849)Memory used [KB]: 5628
% 4.57/1.02 % (13849)Time elapsed: 0.011 s
% 4.57/1.02 % (13849)Instructions burned: 28 (million)
% 4.57/1.02 % (13849)------------------------------
% 4.57/1.02 % (13849)------------------------------
% 4.57/1.02 % (13850)dis+1002_1:1_bd=preordered:c=on:cbe=off:cnfonf=lazy_not_gen_be_off:hud=10:ixr=off:prag=on:i=53:si=on:rtra=on_0 on theBenchmark for (2993ds/53Mi)
% 4.57/1.03 % (13842)Instruction limit reached!
% 4.57/1.03 % (13842)------------------------------
% 4.57/1.03 % (13842)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 4.57/1.03 % (13842)Termination reason: Unknown
% 4.57/1.03 % (13842)Termination phase: Saturation
% 4.57/1.03
% 4.57/1.03 % (13842)Memory used [KB]: 5756
% 4.57/1.03 % (13842)Time elapsed: 0.079 s
% 4.57/1.03 % (13842)Instructions burned: 183 (million)
% 4.57/1.03 % (13842)------------------------------
% 4.57/1.03 % (13842)------------------------------
% 4.57/1.04 % (13850)Instruction limit reached!
% 4.57/1.04 % (13850)------------------------------
% 4.57/1.04 % (13850)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 4.57/1.04 % (13850)Termination reason: Unknown
% 4.57/1.04 % (13850)Termination phase: Saturation
% 4.57/1.04
% 4.57/1.04 % (13850)Memory used [KB]: 5628
% 4.57/1.04 % (13850)Time elapsed: 0.015 s
% 4.57/1.04 % (13850)Instructions burned: 53 (million)
% 4.57/1.04 % (13850)------------------------------
% 4.57/1.04 % (13850)------------------------------
% 4.57/1.04 % (13848)Instruction limit reached!
% 4.57/1.04 % (13848)------------------------------
% 4.57/1.04 % (13848)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 4.57/1.04 % (13848)Termination reason: Unknown
% 4.57/1.04 % (13848)Termination phase: Saturation
% 4.57/1.04
% 4.57/1.04 % (13848)Memory used [KB]: 6780
% 4.57/1.04 % (13848)Time elapsed: 0.063 s
% 4.57/1.04 % (13848)Instructions burned: 205 (million)
% 4.57/1.04 % (13848)------------------------------
% 4.57/1.04 % (13848)------------------------------
% 4.57/1.04 % (13852)dis+1010_1:1_acc=model:avsq=on:ixr=off:prag=on:s2a=on:sac=on:i=1539:si=on:rtra=on_0 on theBenchmark for (2993ds/1539Mi)
% 4.57/1.05 % (13853)lrs+2_1:1_bd=off:e2e=on:fde=none:kws=inv_precedence:plsq=on:plsqr=32,1:sos=on:i=408:si=on:rtra=on_0 on theBenchmark for (2993ds/408Mi)
% 4.57/1.05 % (13847)Instruction limit reached!
% 4.57/1.05 % (13847)------------------------------
% 4.57/1.05 % (13847)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 4.57/1.05 % (13847)Termination reason: Unknown
% 4.57/1.05 % (13847)Termination phase: Saturation
% 4.57/1.05
% 4.57/1.05 % (13847)Memory used [KB]: 6268
% 4.57/1.05 % (13847)Time elapsed: 0.080 s
% 4.57/1.05 % (13847)Instructions burned: 267 (million)
% 4.57/1.05 % (13847)------------------------------
% 4.57/1.05 % (13847)------------------------------
% 4.57/1.05 % (13851)dis+1002_1:1_aac=none:au=on:e2e=on:nm=2:nwc=10.0:sd=1:ss=axioms:st=3.0:i=4436:si=on:rtra=on_0 on theBenchmark for (2993ds/4436Mi)
% 4.57/1.05 % (13851)Refutation not found, incomplete strategy
% 4.57/1.05 % (13851)------------------------------
% 4.57/1.05 % (13851)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 4.57/1.05 % (13851)Termination reason: Refutation not found, incomplete strategy
% 4.57/1.05
% 4.57/1.05
% 4.57/1.05 % (13851)Memory used [KB]: 5500
% 4.57/1.05 % (13851)Time elapsed: 0.004 s
% 4.57/1.05 % (13851)Instructions burned: 7 (million)
% 4.57/1.05 % (13851)------------------------------
% 4.57/1.05 % (13851)------------------------------
% 4.57/1.05 % (13854)lrs+1002_1:1_aac=none:au=on:cnfonf=lazy_gen:plsq=on:plsqc=1:plsqr=4203469,65536:i=5205:si=on:rtra=on_0 on theBenchmark for (2993ds/5205Mi)
% 4.57/1.06 % (13855)dis+1010_1:4_au=on:av=off:cbe=off:nwc=10.0:s2a=on:s2at=3.0:sd=2:ss=axioms:st=5.0:i=1913:si=on:rtra=on_0 on theBenchmark for (2993ds/1913Mi)
% 4.57/1.06 % (13855)Refutation not found, incomplete strategy
% 4.57/1.06 % (13855)------------------------------
% 4.57/1.06 % (13855)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 4.57/1.06 % (13855)Termination reason: Refutation not found, incomplete strategy
% 4.57/1.06
% 4.57/1.06
% 4.57/1.06 % (13855)Memory used [KB]: 1151
% 4.57/1.06 % (13855)Time elapsed: 0.006 s
% 4.57/1.06 % (13855)Instructions burned: 19 (million)
% 4.57/1.06 % (13855)------------------------------
% 4.57/1.06 % (13855)------------------------------
% 4.57/1.07 % (13845)Instruction limit reached!
% 4.57/1.07 % (13845)------------------------------
% 4.57/1.07 % (13845)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 4.57/1.07 % (13845)Termination reason: Unknown
% 4.57/1.07 % (13845)Termination phase: Saturation
% 4.57/1.07
% 4.57/1.07 % (13845)Memory used [KB]: 7419
% 4.57/1.07 % (13845)Time elapsed: 0.118 s
% 4.57/1.07 % (13845)Instructions burned: 368 (million)
% 4.57/1.07 % (13845)------------------------------
% 4.57/1.07 % (13845)------------------------------
% 4.57/1.07 % (13856)lrs+2_1:1_bd=off:cbe=off:piset=equals:sd=1:sgt=20:sos=all:ss=axioms:i=4350:si=on:rtra=on_0 on theBenchmark for (2993ds/4350Mi)
% 5.01/1.08 % (13857)ott+1010_1:4_cbe=off:chr=on:hfsq=on:hfsqr=1,16:hud=3:sac=on:sp=unary_frequency:ss=axioms:st=5.0:tnu=2:i=68:si=on:rtra=on_0 on theBenchmark for (2993ds/68Mi)
% 5.01/1.10 % (13857)Instruction limit reached!
% 5.01/1.10 % (13857)------------------------------
% 5.01/1.10 % (13857)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 5.01/1.10 % (13857)Termination reason: Unknown
% 5.01/1.10 % (13857)Termination phase: Saturation
% 5.01/1.10
% 5.01/1.10 % (13857)Memory used [KB]: 5756
% 5.01/1.10 % (13857)Time elapsed: 0.019 s
% 5.01/1.10 % (13857)Instructions burned: 70 (million)
% 5.01/1.10 % (13857)------------------------------
% 5.01/1.10 % (13857)------------------------------
% 5.01/1.10 % (13858)dis+10_1:1_au=on:nwc=5.0:s2a=on:s2at=2.0:sac=on:sd=7:ss=axioms:st=2.0:i=358:si=on:rtra=on_0 on theBenchmark for (2992ds/358Mi)
% 5.01/1.11 % (13858)Refutation not found, incomplete strategy
% 5.01/1.11 % (13858)------------------------------
% 5.01/1.11 % (13858)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 5.01/1.11 % (13858)Termination reason: Refutation not found, incomplete strategy
% 5.01/1.11
% 5.01/1.11
% 5.01/1.11 % (13858)Memory used [KB]: 5628
% 5.01/1.11 % (13858)Time elapsed: 0.005 s
% 5.01/1.11 % (13858)Instructions burned: 13 (million)
% 5.01/1.11 % (13858)------------------------------
% 5.01/1.11 % (13858)------------------------------
% 5.01/1.12 % (13859)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 (2992ds/31Mi)
% 5.01/1.12 % (13859)Instruction limit reached!
% 5.01/1.12 % (13859)------------------------------
% 5.01/1.12 % (13859)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 5.01/1.12 % (13859)Termination reason: Unknown
% 5.01/1.12 % (13859)Termination phase: Saturation
% 5.01/1.12
% 5.01/1.12 % (13859)Memory used [KB]: 5628
% 5.01/1.12 % (13859)Time elapsed: 0.009 s
% 5.01/1.12 % (13859)Instructions burned: 31 (million)
% 5.01/1.12 % (13859)------------------------------
% 5.01/1.12 % (13859)------------------------------
% 5.01/1.13 % (13860)lrs+10_1:1_cnfonf=lazy_simp:sgt=5:sos=on:ss=axioms:i=279:si=on:rtra=on_0 on theBenchmark for (2992ds/279Mi)
% 5.01/1.17 % (13853)Instruction limit reached!
% 5.01/1.17 % (13853)------------------------------
% 5.01/1.17 % (13853)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 5.01/1.17 % (13853)Termination reason: Unknown
% 5.01/1.17 % (13853)Termination phase: Saturation
% 5.01/1.17
% 5.01/1.17 % (13853)Memory used [KB]: 6908
% 5.01/1.17 % (13853)Time elapsed: 0.126 s
% 5.01/1.17 % (13853)Instructions burned: 409 (million)
% 5.01/1.17 % (13853)------------------------------
% 5.01/1.17 % (13853)------------------------------
% 5.01/1.18 % (13861)lrs+10_8:1_au=on:fde=none:slsq=on:i=258:si=on:rtra=on_0 on theBenchmark for (2991ds/258Mi)
% 6.51/1.21 % (13860)Instruction limit reached!
% 6.51/1.21 % (13860)------------------------------
% 6.51/1.21 % (13860)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 6.51/1.21 % (13860)Termination reason: Unknown
% 6.51/1.21 % (13860)Termination phase: Saturation
% 6.51/1.21
% 6.51/1.21 % (13860)Memory used [KB]: 5884
% 6.51/1.21 % (13860)Time elapsed: 0.083 s
% 6.51/1.21 % (13860)Instructions burned: 281 (million)
% 6.51/1.21 % (13860)------------------------------
% 6.51/1.21 % (13860)------------------------------
% 6.51/1.22 % (13865)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)
% 6.51/1.23 % (13865)Instruction limit reached!
% 6.51/1.23 % (13865)------------------------------
% 6.51/1.23 % (13865)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 6.51/1.23 % (13865)Termination reason: Unknown
% 6.51/1.23 % (13865)Termination phase: Saturation
% 6.51/1.23
% 6.51/1.23 % (13865)Memory used [KB]: 5628
% 6.51/1.23 % (13865)Time elapsed: 0.011 s
% 6.51/1.23 % (13865)Instructions burned: 28 (million)
% 6.51/1.23 % (13865)------------------------------
% 6.51/1.23 % (13865)------------------------------
% 6.75/1.24 % (13834)Instruction limit reached!
% 6.75/1.24 % (13834)------------------------------
% 6.75/1.24 % (13834)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 6.75/1.24 % (13834)Termination reason: Unknown
% 6.75/1.24 % (13834)Termination phase: Saturation
% 6.75/1.24
% 6.75/1.24 % (13834)Memory used [KB]: 7803
% 6.75/1.24 % (13834)Time elapsed: 0.367 s
% 6.75/1.24 % (13834)Instructions burned: 988 (million)
% 6.75/1.24 % (13834)------------------------------
% 6.75/1.24 % (13834)------------------------------
% 6.75/1.24 % (13841)Instruction limit reached!
% 6.75/1.24 % (13841)------------------------------
% 6.75/1.24 % (13841)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 6.75/1.24 % (13841)Termination reason: Unknown
% 6.75/1.24 % (13841)Termination phase: Saturation
% 6.75/1.24
% 6.75/1.24 % (13841)Memory used [KB]: 8955
% 6.75/1.24 % (13841)Time elapsed: 0.290 s
% 6.75/1.24 % (13841)Instructions burned: 924 (million)
% 6.75/1.24 % (13841)------------------------------
% 6.75/1.24 % (13841)------------------------------
% 6.75/1.24 % (13866)lrs+1010_1:1_au=on:cbe=off:cnfonf=lazy_not_be_gen:ntd=on:pe=on:i=995:si=on:rtra=on_0 on theBenchmark for (2991ds/995Mi)
% 6.75/1.25 % (13867)dis+10_1:8_amm=sco:cbe=off:hflw=5:hfsq=on:hfsqc=14:hfsql=off:hfsqr=4,1:hud=5:ile=on:lma=on:nm=2:ntd=on:prag=on:sac=on:sp=frequency:i=373:si=on:rtra=on_0 on theBenchmark for (2991ds/373Mi)
% 6.75/1.25 % (13868)lrs+1010_1:128_au=on:cnfonf=lazy_pi_sigma_gen:hflw=4:hfsq=on:hfsqc=20:hfsql=off:i=253:si=on:rtra=on_0 on theBenchmark for (2991ds/253Mi)
% 6.75/1.26 % (13861)Instruction limit reached!
% 6.75/1.26 % (13861)------------------------------
% 6.75/1.26 % (13861)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 6.75/1.26 % (13861)Termination reason: Unknown
% 6.75/1.26 % (13861)Termination phase: Saturation
% 6.75/1.26
% 6.75/1.26 % (13861)Memory used [KB]: 6268
% 6.75/1.26 % (13861)Time elapsed: 0.087 s
% 6.75/1.26 % (13861)Instructions burned: 260 (million)
% 6.75/1.26 % (13861)------------------------------
% 6.75/1.26 % (13861)------------------------------
% 6.75/1.27 % (13878)lrs+1002_1:14_au=on:bd=off:e2e=on:fde=unused:sac=on:sos=on:i=832:si=on:rtra=on_0 on theBenchmark for (2991ds/832Mi)
% 6.75/1.27 % (13878)Refutation not found, incomplete strategy
% 6.75/1.27 % (13878)------------------------------
% 6.75/1.27 % (13878)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 6.75/1.27 % (13878)Termination reason: Refutation not found, incomplete strategy
% 6.75/1.27
% 6.75/1.27
% 6.75/1.27 % (13878)Memory used [KB]: 5500
% 6.75/1.27 % (13878)Time elapsed: 0.003 s
% 6.75/1.27 % (13878)Instructions burned: 6 (million)
% 6.75/1.27 % (13878)------------------------------
% 6.75/1.27 % (13878)------------------------------
% 6.75/1.28 % (13881)lrs+1010_1:1_chr=on:cnfonf=lazy_not_be_gen:gs=on:hud=5:plsq=on:plsqc=1:plsqr=5,1:prag=on:rawr=on:i=668:si=on:rtra=on_0 on theBenchmark for (2990ds/668Mi)
% 6.75/1.29 % (13846)Instruction limit reached!
% 6.75/1.29 % (13846)------------------------------
% 6.75/1.29 % (13846)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 6.75/1.29 % (13846)Termination reason: Unknown
% 6.75/1.29 % (13846)Termination phase: Saturation
% 6.75/1.29
% 6.75/1.29 % (13846)Memory used [KB]: 9083
% 6.75/1.29 % (13846)Time elapsed: 0.325 s
% 6.75/1.29 % (13846)Instructions burned: 1024 (million)
% 6.75/1.29 % (13846)------------------------------
% 6.75/1.29 % (13846)------------------------------
% 6.75/1.29 % (13883)dis+10_1:1_anc=none:cnfonf=lazy_gen:fd=preordered:fe=off:hud=10:ins=3:ixr=off:nwc=5.0:plsq=on:plsqc=1:plsqr=32,1:sp=const_frequency:uhcvi=on:i=40:si=on:rtra=on_0 on theBenchmark for (2990ds/40Mi)
% 6.75/1.31 % (13883)Instruction limit reached!
% 6.75/1.31 % (13883)------------------------------
% 6.75/1.31 % (13883)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 6.75/1.31 % (13883)Termination reason: Unknown
% 6.75/1.31 % (13883)Termination phase: Saturation
% 6.75/1.31
% 6.75/1.31 % (13883)Memory used [KB]: 5756
% 6.75/1.31 % (13883)Time elapsed: 0.013 s
% 6.75/1.31 % (13883)Instructions burned: 42 (million)
% 6.75/1.31 % (13883)------------------------------
% 6.75/1.31 % (13883)------------------------------
% 6.75/1.31 % (13884)lrs+1010_1:1_cnfonf=lazy_pi_sigma_gen:fd=off:ntd=on:sd=1:sgt=32:sos=on:ss=axioms:i=294:si=on:rtra=on_0 on theBenchmark for (2990ds/294Mi)
% 6.75/1.32 % (13868)Instruction limit reached!
% 6.75/1.32 % (13868)------------------------------
% 6.75/1.32 % (13868)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 6.75/1.32 % (13868)Termination reason: Unknown
% 6.75/1.32 % (13868)Termination phase: Saturation
% 6.75/1.32
% 6.75/1.32 % (13868)Memory used [KB]: 6140
% 6.75/1.32 % (13868)Time elapsed: 0.076 s
% 6.75/1.32 % (13868)Instructions burned: 253 (million)
% 6.75/1.32 % (13868)------------------------------
% 6.75/1.32 % (13868)------------------------------
% 6.75/1.33 % (13885)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 (2990ds/187Mi)
% 7.31/1.36 % (13867)Instruction limit reached!
% 7.31/1.36 % (13867)------------------------------
% 7.31/1.36 % (13867)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 7.31/1.36 % (13867)Termination reason: Unknown
% 7.31/1.36 % (13867)Termination phase: Saturation
% 7.31/1.36
% 7.31/1.36 % (13867)Memory used [KB]: 6652
% 7.31/1.36 % (13867)Time elapsed: 0.117 s
% 7.31/1.36 % (13867)Instructions burned: 374 (million)
% 7.31/1.36 % (13867)------------------------------
% 7.31/1.36 % (13867)------------------------------
% 7.31/1.37 % (13893)lrs+1010_2:3_au=on:fsr=off:sd=4:ss=axioms:st=1.5:i=371:si=on:rtra=on_0 on theBenchmark for (2990ds/371Mi)
% 7.31/1.37 % (13893)Refutation not found, incomplete strategy
% 7.31/1.37 % (13893)------------------------------
% 7.31/1.37 % (13893)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 7.31/1.37 % (13893)Termination reason: Refutation not found, incomplete strategy
% 7.31/1.37
% 7.31/1.37
% 7.31/1.37 % (13893)Memory used [KB]: 5500
% 7.31/1.37 % (13893)Time elapsed: 0.003 s
% 7.31/1.37 % (13893)Instructions burned: 6 (million)
% 7.31/1.37 % (13893)------------------------------
% 7.31/1.37 % (13893)------------------------------
% 7.31/1.38 % (13897)dis+1003_1:1_au=on:bd=preordered:fde=none:ixr=off:nwc=10.0:i=1827:si=on:rtra=on_0 on theBenchmark for (2990ds/1827Mi)
% 7.31/1.39 % (13885)Instruction limit reached!
% 7.31/1.39 % (13885)------------------------------
% 7.31/1.39 % (13885)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 7.31/1.39 % (13885)Termination reason: Unknown
% 7.31/1.39 % (13885)Termination phase: Saturation
% 7.31/1.39
% 7.31/1.39 % (13885)Memory used [KB]: 6652
% 7.31/1.39 % (13885)Time elapsed: 0.059 s
% 7.31/1.39 % (13885)Instructions burned: 188 (million)
% 7.31/1.39 % (13885)------------------------------
% 7.31/1.39 % (13885)------------------------------
% 7.68/1.39 % (13898)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 (2989ds/70Mi)
% 7.68/1.40 % (13884)Refutation not found, non-redundant clauses discarded% (13884)------------------------------
% 7.68/1.40 % (13884)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 7.68/1.40 % (13884)Termination reason: Refutation not found, non-redundant clauses discarded
% 7.68/1.40
% 7.68/1.40 % (13884)Memory used [KB]: 6012
% 7.68/1.40 % (13884)Time elapsed: 0.083 s
% 7.68/1.40 % (13884)Instructions burned: 282 (million)
% 7.68/1.40 % (13884)------------------------------
% 7.68/1.40 % (13884)------------------------------
% 7.68/1.40 % (13899)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 (2989ds/316Mi)
% 7.68/1.41 % (13898)Instruction limit reached!
% 7.68/1.41 % (13898)------------------------------
% 7.68/1.41 % (13898)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 7.68/1.41 % (13898)Termination reason: Unknown
% 7.68/1.41 % (13898)Termination phase: Saturation
% 7.68/1.41
% 7.68/1.41 % (13898)Memory used [KB]: 1279
% 7.68/1.41 % (13898)Time elapsed: 0.022 s
% 7.68/1.41 % (13898)Instructions burned: 71 (million)
% 7.68/1.41 % (13898)------------------------------
% 7.68/1.41 % (13898)------------------------------
% 7.68/1.42 % (13900)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 (2989ds/932Mi)
% 8.00/1.46 % (13881)Instruction limit reached!
% 8.00/1.46 % (13881)------------------------------
% 8.00/1.46 % (13881)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 8.00/1.46 % (13881)Termination reason: Unknown
% 8.00/1.46 % (13881)Termination phase: Saturation
% 8.00/1.46
% 8.00/1.46 % (13881)Memory used [KB]: 10874
% 8.00/1.46 % (13881)Time elapsed: 0.180 s
% 8.00/1.46 % (13881)Instructions burned: 669 (million)
% 8.00/1.46 % (13881)------------------------------
% 8.00/1.46 % (13881)------------------------------
% 8.20/1.47 % (13901)lrs+1010_1:128_au=on:bd=preordered:cnfonf=lazy_pi_sigma_gen:plsq=on:plsqc=1:plsqr=32,1:sos=all:sp=occurrence:i=4714:si=on:rtra=on_0 on theBenchmark for (2989ds/4714Mi)
% 8.20/1.50 % (13899)Instruction limit reached!
% 8.20/1.50 % (13899)------------------------------
% 8.20/1.50 % (13899)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 8.20/1.50 % (13899)Termination reason: Unknown
% 8.20/1.50 % (13899)Termination phase: Saturation
% 8.20/1.50
% 8.20/1.50 % (13899)Memory used [KB]: 6140
% 8.20/1.50 % (13899)Time elapsed: 0.096 s
% 8.20/1.50 % (13899)Instructions burned: 316 (million)
% 8.20/1.50 % (13899)------------------------------
% 8.20/1.50 % (13899)------------------------------
% 8.43/1.51 % (13914)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 (2988ds/8250Mi)
% 8.43/1.52 % (13852)Instruction limit reached!
% 8.43/1.52 % (13852)------------------------------
% 8.43/1.52 % (13852)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 8.43/1.52 % (13852)Termination reason: Unknown
% 8.43/1.52 % (13852)Termination phase: Saturation
% 8.43/1.52
% 8.43/1.52 % (13852)Memory used [KB]: 9083
% 8.43/1.52 % (13852)Time elapsed: 0.473 s
% 8.43/1.52 % (13852)Instructions burned: 1539 (million)
% 8.43/1.52 % (13852)------------------------------
% 8.43/1.52 % (13852)------------------------------
% 8.43/1.52 % (13925)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 (2988ds/770Mi)
% 8.43/1.53 % (13925)Refutation not found, incomplete strategy
% 8.43/1.53 % (13925)------------------------------
% 8.43/1.53 % (13925)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 8.43/1.53 % (13925)Termination reason: Refutation not found, incomplete strategy
% 8.43/1.53
% 8.43/1.53
% 8.43/1.53 % (13925)Memory used [KB]: 5500
% 8.43/1.53 % (13925)Time elapsed: 0.003 s
% 8.43/1.53 % (13925)Instructions burned: 6 (million)
% 8.43/1.53 % (13925)------------------------------
% 8.43/1.53 % (13925)------------------------------
% 8.43/1.53 % (13866)Instruction limit reached!
% 8.43/1.53 % (13866)------------------------------
% 8.43/1.53 % (13866)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 8.43/1.53 % (13866)Termination reason: Unknown
% 8.43/1.53 % (13866)Termination phase: Saturation
% 8.43/1.53
% 8.43/1.53 % (13866)Memory used [KB]: 7547
% 8.43/1.53 % (13866)Time elapsed: 0.295 s
% 8.43/1.53 % (13866)Instructions burned: 995 (million)
% 8.43/1.53 % (13866)------------------------------
% 8.43/1.53 % (13866)------------------------------
% 8.43/1.53 % (13934)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 (2988ds/794Mi)
% 8.83/1.54 % (13934)Refutation not found, incomplete strategy
% 8.83/1.54 % (13934)------------------------------
% 8.83/1.54 % (13934)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 8.83/1.54 % (13934)Termination reason: Refutation not found, incomplete strategy
% 8.83/1.54
% 8.83/1.54
% 8.83/1.54 % (13934)Memory used [KB]: 1151
% 8.83/1.54 % (13934)Time elapsed: 0.006 s
% 8.83/1.54 % (13934)Instructions burned: 19 (million)
% 8.83/1.54 % (13934)------------------------------
% 8.83/1.54 % (13934)------------------------------
% 8.83/1.54 % (13939)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 (2988ds/464Mi)
% 8.83/1.55 % (13941)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 (2988ds/1376Mi)
% 9.03/1.64 % (13901)Refutation not found, incomplete strategy
% 9.03/1.64 % (13901)------------------------------
% 9.03/1.64 % (13901)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 9.03/1.64 % (13901)Termination reason: Refutation not found, incomplete strategy
% 9.03/1.64
% 9.03/1.64
% 9.03/1.64 % (13901)Memory used [KB]: 6780
% 9.03/1.64 % (13901)Time elapsed: 0.173 s
% 9.03/1.64 % (13901)Instructions burned: 535 (million)
% 9.03/1.64 % (13901)------------------------------
% 9.03/1.64 % (13901)------------------------------
% 9.03/1.65 % (14018)dis+10_1:1_etr=on:plsq=on:plsqc=1:plsqr=32,1:i=906:si=on:rtra=on_0 on theBenchmark for (2987ds/906Mi)
% 9.03/1.68 % (13939)Instruction limit reached!
% 9.03/1.68 % (13939)------------------------------
% 9.03/1.68 % (13939)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 9.03/1.68 % (13939)Termination reason: Unknown
% 9.03/1.68 % (13939)Termination phase: Saturation
% 9.03/1.68
% 9.03/1.68 % (13939)Memory used [KB]: 7419
% 9.03/1.68 % (13939)Time elapsed: 0.145 s
% 9.03/1.68 % (13939)Instructions burned: 466 (million)
% 9.03/1.68 % (13939)------------------------------
% 9.03/1.68 % (13939)------------------------------
% 9.47/1.69 % (14047)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 (2986ds/434Mi)
% 9.47/1.69 % (14047)Refutation not found, incomplete strategy
% 9.47/1.69 % (14047)------------------------------
% 9.47/1.69 % (14047)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 9.47/1.69 % (14047)Termination reason: Refutation not found, incomplete strategy
% 9.47/1.69
% 9.47/1.69
% 9.47/1.69 % (14047)Memory used [KB]: 5500
% 9.47/1.69 % (14047)Time elapsed: 0.003 s
% 9.47/1.69 % (14047)Instructions burned: 5 (million)
% 9.47/1.69 % (14047)------------------------------
% 9.47/1.69 % (14047)------------------------------
% 9.47/1.70 % (14052)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 (2986ds/865Mi)
% 9.47/1.72 % (13900)Instruction limit reached!
% 9.47/1.72 % (13900)------------------------------
% 9.47/1.72 % (13900)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 9.47/1.72 % (13900)Termination reason: Unknown
% 9.47/1.72 % (13900)Termination phase: Saturation
% 9.47/1.72
% 9.47/1.72 % (13900)Memory used [KB]: 8571
% 9.47/1.72 % (13900)Time elapsed: 0.301 s
% 9.47/1.72 % (13900)Instructions burned: 934 (million)
% 9.47/1.72 % (13900)------------------------------
% 9.47/1.72 % (13900)------------------------------
% 9.47/1.73 % (14059)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 (2986ds/593Mi)
% 11.61/1.92 % (14059)Instruction limit reached!
% 11.61/1.92 % (14059)------------------------------
% 11.61/1.92 % (14059)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 11.61/1.92 % (14059)Termination reason: Unknown
% 11.61/1.92 % (14059)Termination phase: Saturation
% 11.61/1.92
% 11.61/1.92 % (14059)Memory used [KB]: 7164
% 11.61/1.92 % (14059)Time elapsed: 0.187 s
% 11.61/1.92 % (14059)Instructions burned: 593 (million)
% 11.61/1.92 % (14059)------------------------------
% 11.61/1.92 % (14059)------------------------------
% 12.26/1.92 % (14073)dis+10_1:1_sd=2:sgt=20:slsq=on:ss=axioms:st=6.0:i=443:si=on:rtra=on_0 on theBenchmark for (2984ds/443Mi)
% 12.26/1.94 % (14052)Instruction limit reached!
% 12.26/1.94 % (14052)------------------------------
% 12.26/1.94 % (14052)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 12.26/1.94 % (14052)Termination reason: Unknown
% 12.26/1.94 % (14052)Termination phase: Saturation
% 12.26/1.94
% 12.26/1.94 % (14052)Memory used [KB]: 6524
% 12.26/1.94 % (14052)Time elapsed: 0.240 s
% 12.26/1.94 % (14052)Instructions burned: 867 (million)
% 12.26/1.94 % (14052)------------------------------
% 12.26/1.94 % (14052)------------------------------
% 12.26/1.95 % (14075)dis+10_1:1_atotf=0.1:cbe=off:sd=3:ss=axioms:st=2.0:i=594:si=on:rtra=on_0 on theBenchmark for (2984ds/594Mi)
% 12.26/1.95 % (14075)Refutation not found, incomplete strategy
% 12.26/1.95 % (14075)------------------------------
% 12.26/1.95 % (14075)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 12.26/1.95 % (14075)Termination reason: Refutation not found, incomplete strategy
% 12.26/1.95
% 12.26/1.95
% 12.26/1.95 % (14075)Memory used [KB]: 5628
% 12.26/1.95 % (14075)Time elapsed: 0.005 s
% 12.26/1.95 % (14075)Instructions burned: 13 (million)
% 12.26/1.95 % (14075)------------------------------
% 12.26/1.95 % (14075)------------------------------
% 12.26/1.95 % (14018)Instruction limit reached!
% 12.26/1.95 % (14018)------------------------------
% 12.26/1.95 % (14018)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 12.26/1.95 % (14018)Termination reason: Unknown
% 12.26/1.95 % (14018)Termination phase: Saturation
% 12.26/1.95
% 12.26/1.95 % (14018)Memory used [KB]: 9722
% 12.26/1.95 % (14018)Time elapsed: 0.303 s
% 12.26/1.95 % (14018)Instructions burned: 906 (million)
% 12.26/1.95 % (14018)------------------------------
% 12.26/1.95 % (14018)------------------------------
% 12.26/1.96 % (14076)ott+10_1:1024_anc=none:bd=off:e2e=on:fde=none:fsr=off:hud=10:ixr=off:nm=4:nwc=5.0:spb=goal:i=327:si=on:rtra=on_0 on theBenchmark for (2984ds/327Mi)
% 12.26/1.96 % (14079)lrs+1002_1:1_au=on:bd=off:e2e=on:sd=2:sos=on:ss=axioms:i=5411:si=on:rtra=on_0 on theBenchmark for (2984ds/5411Mi)
% 12.26/1.97 % (14079)Refutation not found, incomplete strategy
% 12.26/1.97 % (14079)------------------------------
% 12.26/1.97 % (14079)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 12.26/1.97 % (14079)Termination reason: Refutation not found, incomplete strategy
% 12.26/1.97
% 12.26/1.97
% 12.26/1.97 % (14079)Memory used [KB]: 5500
% 12.26/1.97 % (14079)Time elapsed: 0.003 s
% 12.26/1.97 % (14079)Instructions burned: 5 (million)
% 12.26/1.97 % (14079)------------------------------
% 12.26/1.97 % (14079)------------------------------
% 12.64/1.98 % (13897)Instruction limit reached!
% 12.64/1.98 % (13897)------------------------------
% 12.64/1.98 % (13897)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 12.64/1.98 % (13897)Termination reason: Unknown
% 12.64/1.98 % (13897)Termination phase: Saturation
% 12.64/1.98
% 12.64/1.98 % (13897)Memory used [KB]: 8059
% 12.64/1.98 % (13897)Time elapsed: 0.604 s
% 12.64/1.98 % (13897)Instructions burned: 1828 (million)
% 12.64/1.98 % (13897)------------------------------
% 12.64/1.98 % (13897)------------------------------
% 12.64/1.99 % (14085)lrs+10_1:20_au=on:c=on:cbe=off:cnfonf=lazy_gen:ins=1:plsq=on:plsqc=1:plsqr=46,31:sac=on:i=1762:si=on:rtra=on_0 on theBenchmark for (2984ds/1762Mi)
% 12.64/1.99 % (14086)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 (2984ds/96Mi)
% 12.64/2.00 % (13941)Instruction limit reached!
% 12.64/2.00 % (13941)------------------------------
% 12.64/2.00 % (13941)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 12.64/2.00 % (13941)Termination reason: Unknown
% 12.64/2.00 % (13941)Termination phase: Saturation
% 12.64/2.00
% 12.64/2.00 % (13941)Memory used [KB]: 10490
% 12.64/2.00 % (13941)Time elapsed: 0.463 s
% 12.64/2.00 % (13941)Instructions burned: 1378 (million)
% 12.64/2.00 % (13941)------------------------------
% 12.64/2.00 % (13941)------------------------------
% 12.64/2.02 % (14087)lrs+21_1:1_hud=5:kws=inv_frequency:nm=16:nwc=2.0:prag=on:sos=on:ss=axioms:i=503:si=on:rtra=on_0 on theBenchmark for (2983ds/503Mi)
% 12.64/2.02 % (14086)Instruction limit reached!
% 12.64/2.02 % (14086)------------------------------
% 12.64/2.02 % (14086)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 12.64/2.02 % (14086)Termination reason: Unknown
% 12.64/2.02 % (14086)Termination phase: Saturation
% 12.64/2.02
% 12.64/2.02 % (14086)Memory used [KB]: 5884
% 12.64/2.02 % (14086)Time elapsed: 0.031 s
% 12.64/2.02 % (14086)Instructions burned: 97 (million)
% 12.64/2.02 % (14086)------------------------------
% 12.64/2.02 % (14086)------------------------------
% 12.64/2.02 % (14087)Refutation not found, incomplete strategy
% 12.64/2.02 % (14087)------------------------------
% 12.64/2.02 % (14087)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 12.64/2.02 % (14087)Termination reason: Refutation not found, incomplete strategy
% 12.64/2.02
% 12.64/2.02
% 12.64/2.02 % (14087)Memory used [KB]: 5500
% 12.64/2.02 % (14087)Time elapsed: 0.029 s
% 12.64/2.02 % (14087)Instructions burned: 5 (million)
% 12.64/2.02 % (14087)------------------------------
% 12.64/2.02 % (14087)------------------------------
% 12.64/2.03 % (14088)lrs+1002_1:1024_au=on:cond=fast:ntd=on:piset=and:plsq=on:plsqc=1:plsqr=183491,1048576:sac=on:tgt=ground:i=90:si=on:rtra=on_0 on theBenchmark for (2983ds/90Mi)
% 12.64/2.05 % (14089)lrs+10_1:64_hud=5:plsq=on:plsqr=2011171,524288:i=593:si=on:rtra=on_0 on theBenchmark for (2983ds/593Mi)
% 12.93/2.06 % (14076)Instruction limit reached!
% 12.93/2.06 % (14076)------------------------------
% 12.93/2.06 % (14076)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 12.93/2.06 % (14076)Termination reason: Unknown
% 12.93/2.06 % (14076)Termination phase: Saturation
% 12.93/2.06
% 12.93/2.06 % (14076)Memory used [KB]: 7164
% 12.93/2.06 % (14076)Time elapsed: 0.101 s
% 12.93/2.06 % (14076)Instructions burned: 327 (million)
% 12.93/2.06 % (14076)------------------------------
% 12.93/2.06 % (14076)------------------------------
% 12.93/2.07 % (14090)dis-1002_1:1_alpa=false:apa=on:au=on:bd=off:cnfonf=off:e2e=on:er=filter:fde=unused:plsq=on:plsqr=9699663,1048576:s2a=on:sos=on:sp=unary_first:i=1512:si=on:rtra=on_0 on theBenchmark for (2983ds/1512Mi)
% 12.93/2.07 % (14090)Refutation not found, incomplete strategy
% 12.93/2.07 % (14090)------------------------------
% 12.93/2.07 % (14090)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 12.93/2.07 % (14090)Termination reason: Refutation not found, incomplete strategy
% 12.93/2.07
% 12.93/2.07
% 12.93/2.07 % (14090)Memory used [KB]: 5500
% 12.93/2.07 % (14090)Time elapsed: 0.004 s
% 12.93/2.07 % (14090)Instructions burned: 8 (million)
% 12.93/2.07 % (14090)------------------------------
% 12.93/2.07 % (14090)------------------------------
% 13.11/2.08 % (14073)Instruction limit reached!
% 13.11/2.08 % (14073)------------------------------
% 13.11/2.08 % (14073)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 13.11/2.08 % (14073)Termination reason: Unknown
% 13.11/2.08 % (14073)Termination phase: Saturation
% 13.11/2.08
% 13.11/2.08 % (14073)Memory used [KB]: 7419
% 13.11/2.08 % (14073)Time elapsed: 0.167 s
% 13.11/2.08 % (14073)Instructions burned: 443 (million)
% 13.11/2.08 % (14073)------------------------------
% 13.11/2.08 % (14073)------------------------------
% 13.11/2.08 % (14091)lrs+1002_1:128_cbe=off:cnfonf=lazy_not_gen_be_off:ins=1:i=569:si=on:rtra=on_0 on theBenchmark for (2983ds/569Mi)
% 13.11/2.08 % (14092)ott+1002_1:1_bd=off:cnfonf=off:e2e=on:fd=off:fe=axiom:hud=5:prag=on:sos=on:i=501:si=on:rtra=on_0 on theBenchmark for (2983ds/501Mi)
% 13.11/2.08 % (14088)Instruction limit reached!
% 13.11/2.08 % (14088)------------------------------
% 13.11/2.08 % (14088)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 13.11/2.08 % (14088)Termination reason: Unknown
% 13.11/2.08 % (14088)Termination phase: Saturation
% 13.11/2.08
% 13.11/2.08 % (14088)Memory used [KB]: 6012
% 13.11/2.08 % (14088)Time elapsed: 0.063 s
% 13.11/2.08 % (14088)Instructions burned: 92 (million)
% 13.11/2.08 % (14088)------------------------------
% 13.11/2.08 % (14088)------------------------------
% 13.11/2.09 % (14092)Refutation not found, incomplete strategy
% 13.11/2.09 % (14092)------------------------------
% 13.11/2.09 % (14092)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 13.11/2.09 % (14092)Termination reason: Refutation not found, incomplete strategy
% 13.11/2.09
% 13.11/2.09
% 13.11/2.09 % (14092)Memory used [KB]: 5628
% 13.11/2.09 % (14092)Time elapsed: 0.005 s
% 13.11/2.09 % (14092)Instructions burned: 16 (million)
% 13.11/2.09 % (14092)------------------------------
% 13.11/2.09 % (14092)------------------------------
% 13.11/2.10 % (14094)lrs+10_1:1_au=on:cnfonf=off:fde=unused:kws=precedence:tgt=full:i=406:si=on:rtra=on_0 on theBenchmark for (2982ds/406Mi)
% 13.11/2.10 % (14093)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 (2983ds/562Mi)
% 13.76/2.23 % (14094)Instruction limit reached!
% 13.76/2.23 % (14094)------------------------------
% 13.76/2.23 % (14094)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 13.76/2.23 % (14094)Termination reason: Unknown
% 13.76/2.23 % (14094)Termination phase: Saturation
% 13.76/2.23
% 13.76/2.23 % (14094)Memory used [KB]: 7291
% 13.76/2.23 % (14094)Time elapsed: 0.154 s
% 13.76/2.23 % (14094)Instructions burned: 406 (million)
% 13.76/2.23 % (14094)------------------------------
% 13.76/2.23 % (14094)------------------------------
% 13.76/2.24 % (14095)dis+1004_1:128_au=on:cbe=off:e2e=on:sac=on:i=582:si=on:rtra=on_0 on theBenchmark for (2981ds/582Mi)
% 13.76/2.25 % (14089)Instruction limit reached!
% 13.76/2.25 % (14089)------------------------------
% 13.76/2.25 % (14089)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 13.76/2.25 % (14089)Termination reason: Unknown
% 13.76/2.25 % (14089)Termination phase: Saturation
% 13.76/2.25
% 13.76/2.25 % (14089)Memory used [KB]: 7803
% 13.76/2.25 % (14089)Time elapsed: 0.236 s
% 13.76/2.25 % (14089)Instructions burned: 595 (million)
% 13.76/2.25 % (14089)------------------------------
% 13.76/2.25 % (14089)------------------------------
% 13.76/2.26 % (14096)lrs+2_1:1_au=on:bd=off:bsr=unit_only:sd=2:sgt=32:sos=all:ss=axioms:i=456:si=on:rtra=on_0 on theBenchmark for (2981ds/456Mi)
% 13.76/2.27 % (14091)Instruction limit reached!
% 13.76/2.27 % (14091)------------------------------
% 13.76/2.27 % (14091)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 13.76/2.27 % (14091)Termination reason: Unknown
% 13.76/2.27 % (14091)Termination phase: Saturation
% 13.76/2.27
% 13.76/2.27 % (14091)Memory used [KB]: 6524
% 13.76/2.27 % (14091)Time elapsed: 0.190 s
% 13.76/2.27 % (14091)Instructions burned: 572 (million)
% 13.76/2.27 % (14091)------------------------------
% 13.76/2.27 % (14091)------------------------------
% 13.76/2.27 % (14097)lrs+1010_1:1_au=on:cbe=off:cnfonf=conj_eager:tgt=ground:i=393:si=on:rtra=on_0 on theBenchmark for (2981ds/393Mi)
% 15.05/2.29 % (14093)Instruction limit reached!
% 15.05/2.29 % (14093)------------------------------
% 15.05/2.29 % (14093)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 15.05/2.29 % (14093)Termination reason: Unknown
% 15.05/2.29 % (14093)Termination phase: Saturation
% 15.05/2.29
% 15.05/2.29 % (14093)Memory used [KB]: 6908
% 15.05/2.29 % (14093)Time elapsed: 0.204 s
% 15.05/2.29 % (14093)Instructions burned: 563 (million)
% 15.05/2.29 % (14093)------------------------------
% 15.05/2.29 % (14093)------------------------------
% 15.05/2.30 % (14098)lrs+1010_1:6_au=on:cnfonf=conj_eager:nwc=10.0:pe=on:prag=on:s2a=on:ss=axioms:st=1.5:i=1335:si=on:rtra=on_0 on theBenchmark for (2980ds/1335Mi)
% 15.05/2.31 % (14098)Refutation not found, incomplete strategy
% 15.05/2.31 % (14098)------------------------------
% 15.05/2.31 % (14098)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 15.05/2.31 % (14098)Termination reason: Refutation not found, incomplete strategy
% 15.05/2.31
% 15.05/2.31
% 15.05/2.31 % (14098)Memory used [KB]: 5628
% 15.05/2.31 % (14098)Time elapsed: 0.007 s
% 15.05/2.31 % (14098)Instructions burned: 21 (million)
% 15.05/2.31 % (14098)------------------------------
% 15.05/2.31 % (14098)------------------------------
% 15.05/2.31 % (14099)dis+1010_16:1_acc=model:au=on:avsq=on:cond=fast:plsq=on:plsqc=2:plsqr=9267,262144:i=3373:si=on:rtra=on_0 on theBenchmark for (2980ds/3373Mi)
% 15.76/2.40 % (14096)Instruction limit reached!
% 15.76/2.40 % (14096)------------------------------
% 15.76/2.40 % (14096)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 15.76/2.40 % (14096)Termination reason: Unknown
% 15.76/2.40 % (14096)Termination phase: Saturation
% 15.76/2.40
% 15.76/2.40 % (14096)Memory used [KB]: 7036
% 15.76/2.40 % (14096)Time elapsed: 0.164 s
% 15.76/2.40 % (14096)Instructions burned: 457 (million)
% 15.76/2.40 % (14096)------------------------------
% 15.76/2.40 % (14096)------------------------------
% 15.76/2.41 % (14097)Instruction limit reached!
% 15.76/2.41 % (14097)------------------------------
% 15.76/2.41 % (14097)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 15.76/2.41 % (14097)Termination reason: Unknown
% 15.76/2.41 % (14097)Termination phase: Saturation
% 15.76/2.41
% 15.76/2.41 % (14097)Memory used [KB]: 6524
% 15.76/2.41 % (14097)Time elapsed: 0.133 s
% 15.76/2.41 % (14097)Instructions burned: 394 (million)
% 15.76/2.41 % (14097)------------------------------
% 15.76/2.41 % (14097)------------------------------
% 15.76/2.41 % (14100)dis+10_1:1024_aac=none:au=on:cnfonf=lazy_gen:plsq=on:plsqc=1:plsqr=32,1:spb=goal_then_units:i=474:si=on:rtra=on_0 on theBenchmark for (2979ds/474Mi)
% 15.96/2.42 % (14101)lrs+1002_1:16_amm=sco:cnfonf=lazy_pi_sigma_gen:fe=off:nm=60:piset=all_but_not_eq:plsq=on:plsqc=1:plsqr=2,1:rawr=on:sp=occurrence:ss=included:st=-1.0:i=157:si=on:rtra=on_0 on theBenchmark for (2979ds/157Mi)
% 15.96/2.42 % (14095)Instruction limit reached!
% 15.96/2.42 % (14095)------------------------------
% 15.96/2.42 % (14095)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 15.96/2.42 % (14095)Termination reason: Unknown
% 15.96/2.42 % (14095)Termination phase: Saturation
% 15.96/2.42
% 15.96/2.42 % (14095)Memory used [KB]: 7036
% 15.96/2.42 % (14095)Time elapsed: 0.209 s
% 15.96/2.42 % (14095)Instructions burned: 584 (million)
% 15.96/2.42 % (14095)------------------------------
% 15.96/2.42 % (14095)------------------------------
% 16.03/2.43 % (14102)dis+1010_1:1_amm=off:cs=on:kws=precedence:nwc=10.0:piset=all:s2a=on:sac=on:sp=unary_frequency:spb=goal:ss=axioms:st=3.0:i=590:si=on:rtra=on_0 on theBenchmark for (2979ds/590Mi)
% 16.03/2.47 % (14101)Instruction limit reached!
% 16.03/2.47 % (14101)------------------------------
% 16.03/2.47 % (14101)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 16.03/2.47 % (14101)Termination reason: Unknown
% 16.03/2.47 % (14101)Termination phase: Saturation
% 16.03/2.47
% 16.03/2.47 % (14101)Memory used [KB]: 6012
% 16.03/2.47 % (14101)Time elapsed: 0.054 s
% 16.03/2.47 % (14101)Instructions burned: 157 (million)
% 16.03/2.47 % (14101)------------------------------
% 16.03/2.47 % (14101)------------------------------
% 16.03/2.48 % (14103)dis+10_1:1024_kws=precedence:prag=on:rawr=on:sos=all:sp=unary_first:i=104:si=on:rtra=on_0 on theBenchmark for (2979ds/104Mi)
% 16.03/2.51 % (14103)Instruction limit reached!
% 16.03/2.51 % (14103)------------------------------
% 16.03/2.51 % (14103)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 16.03/2.51 % (14103)Termination reason: Unknown
% 16.03/2.51 % (14103)Termination phase: Saturation
% 16.03/2.51
% 16.03/2.51 % (14103)Memory used [KB]: 6012
% 16.03/2.51 % (14103)Time elapsed: 0.030 s
% 16.03/2.51 % (14103)Instructions burned: 106 (million)
% 16.03/2.51 % (14103)------------------------------
% 16.03/2.51 % (14103)------------------------------
% 16.46/2.51 % (14104)lrs+1010_1:10_au=on:bd=off:cnfonf=lazy_pi_sigma_gen:sp=occurrence:i=414:si=on:rtra=on_0 on theBenchmark for (2978ds/414Mi)
% 16.46/2.54 % (14085)Instruction limit reached!
% 16.46/2.54 % (14085)------------------------------
% 16.46/2.54 % (14085)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 16.46/2.54 % (14085)Termination reason: Unknown
% 16.46/2.54 % (14085)Termination phase: Saturation
% 16.46/2.54
% 16.46/2.54 % (14085)Memory used [KB]: 7803
% 16.46/2.54 % (14085)Time elapsed: 0.573 s
% 16.46/2.54 % (14085)Instructions burned: 1763 (million)
% 16.46/2.54 % (14085)------------------------------
% 16.46/2.54 % (14085)------------------------------
% 16.46/2.54 % (13856)Refutation not found, non-redundant clauses discarded% (13856)------------------------------
% 16.46/2.54 % (13856)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 16.46/2.54 % (13856)Termination reason: Refutation not found, non-redundant clauses discarded
% 16.46/2.54
% 16.46/2.54 % (13856)Memory used [KB]: 13304
% 16.46/2.54 % (13856)Time elapsed: 1.489 s
% 16.46/2.54 % (13856)Instructions burned: 4267 (million)
% 16.46/2.54 % (13856)------------------------------
% 16.46/2.54 % (13856)------------------------------
% 16.46/2.55 % (14105)dis+10_1:1_av=off:bsd=on:bsr=unit_only:fd=off:hud=8:nm=16:prag=on:i=715:si=on:rtra=on_0 on theBenchmark for (2978ds/715Mi)
% 16.46/2.55 % (14106)dis+21_1:5_au=on:ntd=on:nwc=5.0:s2a=on:ss=axioms:st=5.0:i=961:si=on:rtra=on_0 on theBenchmark for (2978ds/961Mi)
% 16.46/2.56 % (14100)Instruction limit reached!
% 16.46/2.56 % (14100)------------------------------
% 16.46/2.56 % (14100)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 16.46/2.56 % (14100)Termination reason: Unknown
% 16.46/2.56 % (14100)Termination phase: Saturation
% 16.46/2.56
% 16.46/2.56 % (14100)Memory used [KB]: 6524
% 16.46/2.56 % (14100)Time elapsed: 0.150 s
% 16.46/2.56 % (14100)Instructions burned: 475 (million)
% 16.46/2.56 % (14100)------------------------------
% 16.46/2.56 % (14100)------------------------------
% 16.46/2.57 % (14107)lrs-1002_1:128_abs=on:bd=preordered:cbe=off:e2e=on:fde=unused:fe=off:tgt=full:i=1213:si=on:rtra=on_0 on theBenchmark for (2978ds/1213Mi)
% 16.83/2.60 % (14102)Instruction limit reached!
% 16.83/2.60 % (14102)------------------------------
% 16.83/2.60 % (14102)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 16.83/2.60 % (14102)Termination reason: Unknown
% 16.83/2.60 % (14102)Termination phase: Saturation
% 16.83/2.60
% 16.83/2.60 % (14102)Memory used [KB]: 7547
% 16.83/2.60 % (14102)Time elapsed: 0.169 s
% 16.83/2.60 % (14102)Instructions burned: 591 (million)
% 16.83/2.60 % (14102)------------------------------
% 16.83/2.60 % (14102)------------------------------
% 16.83/2.60 % (13854)First to succeed.
% 16.83/2.61 % (14108)lrs+1002_1:12_bd=off:hud=1:ntd=on:piset=equals:prag=on:i=1979:si=on:rtra=on_0 on theBenchmark for (2977ds/1979Mi)
% 16.83/2.62 % (13854)Refutation found. Thanks to Tanya!
% 16.83/2.62 % SZS status Theorem for theBenchmark
% 16.83/2.62 % SZS output start Proof for theBenchmark
% 16.83/2.62 thf(func_def_0, type, irel: $i > $i > $o).
% 16.83/2.62 thf(func_def_2, type, mnot: ($i > $o) > $i > $o).
% 16.83/2.62 thf(func_def_3, type, mor: ($i > $o) > ($i > $o) > $i > $o).
% 16.83/2.62 thf(func_def_4, type, mand: ($i > $o) > ($i > $o) > $i > $o).
% 16.83/2.62 thf(func_def_5, type, mimplies: ($i > $o) > ($i > $o) > $i > $o).
% 16.83/2.62 thf(func_def_6, type, mbox_s4: ($i > $o) > $i > $o).
% 16.83/2.62 thf(func_def_7, type, iatom: ($i > $o) > $i > $o).
% 16.83/2.62 thf(func_def_8, type, inot: ($i > $o) > $i > $o).
% 16.83/2.62 thf(func_def_9, type, itrue: $i > $o).
% 16.83/2.62 thf(func_def_10, type, ifalse: $i > $o).
% 16.83/2.62 thf(func_def_11, type, iand: ($i > $o) > ($i > $o) > $i > $o).
% 16.83/2.62 thf(func_def_12, type, ior: ($i > $o) > ($i > $o) > $i > $o).
% 16.83/2.62 thf(func_def_13, type, iimplies: ($i > $o) > ($i > $o) > $i > $o).
% 16.83/2.62 thf(func_def_14, type, iimplied: ($i > $o) > ($i > $o) > $i > $o).
% 16.83/2.62 thf(func_def_15, type, iequiv: ($i > $o) > ($i > $o) > $i > $o).
% 16.83/2.62 thf(func_def_16, type, ixor: ($i > $o) > ($i > $o) > $i > $o).
% 16.83/2.62 thf(func_def_17, type, ivalid: ($i > $o) > $o).
% 16.83/2.62 thf(func_def_18, type, isatisfiable: ($i > $o) > $o).
% 16.83/2.62 thf(func_def_19, type, icountersatisfiable: ($i > $o) > $o).
% 16.83/2.62 thf(func_def_20, type, iinvalid: ($i > $o) > $o).
% 16.83/2.62 thf(func_def_21, type, a0: $i > $o).
% 16.83/2.62 thf(func_def_22, type, a1: $i > $o).
% 16.83/2.62 thf(func_def_23, type, b0: $i > $o).
% 16.83/2.62 thf(func_def_24, type, b1: $i > $o).
% 16.83/2.62 thf(func_def_25, type, f: $i > $o).
% 16.83/2.62 thf(func_def_39, type, ph1: !>[X0: $tType]:(X0)).
% 16.83/2.62 thf(f40314,plain,(
% 16.83/2.62 $false),
% 16.83/2.62 inference(avatar_sat_refutation,[],[f130,f201,f469,f503,f2363,f5254,f5842,f14157,f14350,f14407,f17182,f25354,f28888,f28949,f29666,f29903,f37745,f40038,f40313])).
% 16.83/2.62 thf(f40313,plain,(
% 16.83/2.62 ~spl0_2 | ~spl0_4 | ~spl0_6 | ~spl0_62),
% 16.83/2.62 inference(avatar_contradiction_clause,[],[f40312])).
% 16.83/2.62 thf(f40312,plain,(
% 16.83/2.62 $false | (~spl0_2 | ~spl0_4 | ~spl0_6 | ~spl0_62)),
% 16.83/2.62 inference(trivial_inequality_removal,[],[f40311])).
% 16.83/2.62 thf(f40311,plain,(
% 16.83/2.62 ($true = $false) | (~spl0_2 | ~spl0_4 | ~spl0_6 | ~spl0_62)),
% 16.83/2.62 inference(boolean_simplification,[],[f40310])).
% 16.83/2.62 thf(f40310,plain,(
% 16.83/2.62 ((~ $true) = $true) | (~spl0_2 | ~spl0_4 | ~spl0_6 | ~spl0_62)),
% 16.83/2.62 inference(forward_demodulation,[],[f40287,f38156])).
% 16.83/2.62 thf(f38156,plain,(
% 16.83/2.62 ($true = (irel @ sK2 @ sK14)) | (~spl0_2 | ~spl0_6 | ~spl0_62)),
% 16.83/2.62 inference(boolean_simplification,[],[f38147])).
% 16.83/2.62 thf(f38147,plain,(
% 16.83/2.62 (($true => (irel @ sK2 @ sK14)) = $true) | (~spl0_2 | ~spl0_6 | ~spl0_62)),
% 16.83/2.62 inference(superposition,[],[f37783,f38079])).
% 16.83/2.62 thf(f38079,plain,(
% 16.83/2.62 ((irel @ sK13 @ sK14) = $true) | ~spl0_62),
% 16.83/2.62 inference(binary_proxy_clausification,[],[f38053])).
% 16.83/2.62 thf(f38053,plain,(
% 16.83/2.62 (((irel @ sK13 @ sK14) => (a1 @ sK14)) = $false) | ~spl0_62),
% 16.83/2.62 inference(beta_eta_normalization,[],[f38051])).
% 16.83/2.62 thf(f38051,plain,(
% 16.83/2.62 (((^[Y0 : $i]: ((irel @ sK13 @ Y0) => (a1 @ Y0))) @ sK14) = $false) | ~spl0_62),
% 16.83/2.62 inference(sigma_clausification,[],[f37757])).
% 16.83/2.62 thf(f37757,plain,(
% 16.83/2.62 ($false = (!! @ $i @ (^[Y0 : $i]: ((irel @ sK13 @ Y0) => (a1 @ Y0))))) | ~spl0_62),
% 16.83/2.62 inference(binary_proxy_clausification,[],[f14402])).
% 16.83/2.62 thf(f14402,plain,(
% 16.83/2.62 (((!! @ $i @ (^[Y0 : $i]: ((irel @ sK13 @ Y0) => (a1 @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ sK13 @ Y0) => (b0 @ Y0)))))) = $false) | ~spl0_62),
% 16.83/2.62 inference(avatar_component_clause,[],[f14401])).
% 16.83/2.62 thf(f14401,plain,(
% 16.83/2.62 spl0_62 <=> (((!! @ $i @ (^[Y0 : $i]: ((irel @ sK13 @ Y0) => (a1 @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ sK13 @ Y0) => (b0 @ Y0)))))) = $false)),
% 16.83/2.62 introduced(avatar_definition,[new_symbols(naming,[spl0_62])])).
% 16.83/2.62 thf(f37783,plain,(
% 16.83/2.62 ( ! [X0 : $i] : ((((irel @ sK13 @ X0) => (irel @ sK2 @ X0)) = $true)) ) | (~spl0_2 | ~spl0_6)),
% 16.83/2.62 inference(boolean_simplification,[],[f37773])).
% 16.83/2.62 thf(f37773,plain,(
% 16.83/2.62 ( ! [X0 : $i] : (((($true & (irel @ sK13 @ X0)) => (irel @ sK2 @ X0)) = $true)) ) | (~spl0_2 | ~spl0_6)),
% 16.83/2.62 inference(superposition,[],[f108,f37751])).
% 16.83/2.62 thf(f37751,plain,(
% 16.83/2.62 ((irel @ sK2 @ sK13) = $true) | (~spl0_2 | ~spl0_6)),
% 16.83/2.62 inference(boolean_simplification,[],[f37746])).
% 16.83/2.62 thf(f37746,plain,(
% 16.83/2.62 ($true = ($true => (irel @ sK2 @ sK13))) | (~spl0_2 | ~spl0_6)),
% 16.83/2.62 inference(superposition,[],[f29542,f37729])).
% 16.83/2.62 thf(f37729,plain,(
% 16.83/2.62 ((irel @ sK3 @ sK13) = $true) | (~spl0_2 | ~spl0_6)),
% 16.83/2.62 inference(binary_proxy_clausification,[],[f36602])).
% 16.83/2.62 thf(f36602,plain,(
% 16.83/2.62 (((irel @ sK3 @ sK13) => ((!! @ $i @ (^[Y0 : $i]: ((irel @ sK13 @ Y0) => (a1 @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ sK13 @ Y0) => (b0 @ Y0))))))) = $false) | (~spl0_2 | ~spl0_6)),
% 16.83/2.62 inference(beta_eta_normalization,[],[f36600])).
% 16.83/2.62 thf(f36600,plain,(
% 16.83/2.62 (((^[Y0 : $i]: ((irel @ sK3 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a1 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b0 @ Y1)))))))) @ sK13) = $false) | (~spl0_2 | ~spl0_6)),
% 16.83/2.62 inference(sigma_clausification,[],[f36565])).
% 16.83/2.62 thf(f36565,plain,(
% 16.83/2.62 ((!! @ $i @ (^[Y0 : $i]: ((irel @ sK3 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a1 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b0 @ Y1))))))))) = $false) | (~spl0_2 | ~spl0_6)),
% 16.83/2.62 inference(not_proxy_clausification,[],[f36536])).
% 16.83/2.62 thf(f36536,plain,(
% 16.83/2.62 ((~ (!! @ $i @ (^[Y0 : $i]: ((irel @ sK3 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a1 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b0 @ Y1)))))))))) = $true) | (~spl0_2 | ~spl0_6)),
% 16.83/2.62 inference(boolean_simplification,[],[f36535])).
% 16.83/2.62 thf(f36535,plain,(
% 16.83/2.62 (($true & (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ sK3 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a1 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b0 @ Y1))))))))))) = $true) | (~spl0_2 | ~spl0_6)),
% 16.83/2.62 inference(backward_demodulation,[],[f30980,f36534])).
% 16.83/2.62 thf(f36534,plain,(
% 16.83/2.62 (((!! @ $i @ (^[Y0 : $i]: ((irel @ sK3 @ Y0) => (a1 @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ sK3 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b0 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b1 @ Y1))))))))))) = $true) | (~spl0_2 | ~spl0_6)),
% 16.83/2.62 inference(binary_proxy_clausification,[],[f30980])).
% 16.83/2.62 thf(f30980,plain,(
% 16.83/2.62 ((((!! @ $i @ (^[Y0 : $i]: ((irel @ sK3 @ Y0) => (a1 @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ sK3 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b0 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b1 @ Y1))))))))))) & (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ sK3 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a1 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b0 @ Y1))))))))))) = $true) | (~spl0_2 | ~spl0_6)),
% 16.83/2.62 inference(boolean_simplification,[],[f30979])).
% 16.83/2.62 thf(f30979,plain,(
% 16.83/2.62 (($true & (((!! @ $i @ (^[Y0 : $i]: ((irel @ sK3 @ Y0) => (a1 @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ sK3 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b0 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b1 @ Y1))))))))))) & (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ sK3 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a1 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b0 @ Y1)))))))))))) = $true) | (~spl0_2 | ~spl0_6)),
% 16.83/2.62 inference(boolean_simplification,[],[f30978])).
% 16.83/2.62 thf(f30978,plain,(
% 16.83/2.62 ((((!! @ $i @ (^[Y0 : $i]: ((irel @ sK3 @ Y0) => (f @ Y0)))) | $true) & (((!! @ $i @ (^[Y0 : $i]: ((irel @ sK3 @ Y0) => (a1 @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ sK3 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b0 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b1 @ Y1))))))))))) & (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ sK3 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a1 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b0 @ Y1)))))))))))) = $true) | (~spl0_2 | ~spl0_6)),
% 16.83/2.62 inference(boolean_simplification,[],[f30977])).
% 16.83/2.62 thf(f30977,plain,(
% 16.83/2.62 ((((!! @ $i @ (^[Y0 : $i]: ((irel @ sK3 @ Y0) => (f @ Y0)))) | (~ $false)) & (((!! @ $i @ (^[Y0 : $i]: ((irel @ sK3 @ Y0) => (a1 @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ sK3 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b0 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b1 @ Y1))))))))))) & (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ sK3 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a1 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b0 @ Y1)))))))))))) = $true) | (~spl0_2 | ~spl0_6)),
% 16.83/2.62 inference(boolean_simplification,[],[f30976])).
% 16.83/2.62 thf(f30976,plain,(
% 16.83/2.62 ((((!! @ $i @ (^[Y0 : $i]: ((irel @ sK3 @ Y0) => (f @ Y0)))) | (~ $false)) & (((!! @ $i @ (^[Y0 : $i]: ((irel @ sK3 @ Y0) => (a1 @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ sK3 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b0 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b1 @ Y1))))))))))) & ($false | (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ sK3 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a1 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b0 @ Y1))))))))))))) = $true) | (~spl0_2 | ~spl0_6)),
% 16.83/2.62 inference(forward_demodulation,[],[f30975,f14209])).
% 16.83/2.62 thf(f14209,plain,(
% 16.83/2.62 ((!! @ $i @ (^[Y0 : $i]: ((irel @ sK3 @ Y0) => (a0 @ Y0)))) = $false) | ~spl0_6),
% 16.83/2.62 inference(not_proxy_clausification,[],[f468])).
% 16.83/2.62 thf(f468,plain,(
% 16.83/2.62 ((~ (!! @ $i @ (^[Y0 : $i]: ((irel @ sK3 @ Y0) => (a0 @ Y0))))) = $true) | ~spl0_6),
% 16.83/2.62 inference(avatar_component_clause,[],[f467])).
% 16.83/2.62 thf(f467,plain,(
% 16.83/2.62 spl0_6 <=> ((~ (!! @ $i @ (^[Y0 : $i]: ((irel @ sK3 @ Y0) => (a0 @ Y0))))) = $true)),
% 16.83/2.62 introduced(avatar_definition,[new_symbols(naming,[spl0_6])])).
% 16.83/2.62 thf(f30975,plain,(
% 16.83/2.62 ((((!! @ $i @ (^[Y0 : $i]: ((irel @ sK3 @ Y0) => (f @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ sK3 @ Y0) => (a0 @ Y0)))))) & (((!! @ $i @ (^[Y0 : $i]: ((irel @ sK3 @ Y0) => (a1 @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ sK3 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b0 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b1 @ Y1))))))))))) & ((!! @ $i @ (^[Y0 : $i]: ((irel @ sK3 @ Y0) => (a0 @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ sK3 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a1 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b0 @ Y1))))))))))))) = $true) | ~spl0_2),
% 16.83/2.62 inference(trivial_inequality_removal,[],[f30974])).
% 16.83/2.62 thf(f30974,plain,(
% 16.83/2.62 ($true = $false) | ((((!! @ $i @ (^[Y0 : $i]: ((irel @ sK3 @ Y0) => (f @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ sK3 @ Y0) => (a0 @ Y0)))))) & (((!! @ $i @ (^[Y0 : $i]: ((irel @ sK3 @ Y0) => (a1 @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ sK3 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b0 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b1 @ Y1))))))))))) & ((!! @ $i @ (^[Y0 : $i]: ((irel @ sK3 @ Y0) => (a0 @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ sK3 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a1 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b0 @ Y1))))))))))))) = $true) | ~spl0_2),
% 16.83/2.62 inference(forward_demodulation,[],[f30893,f102])).
% 16.83/2.62 thf(f102,plain,(
% 16.83/2.62 ( ! [X1 : $i] : (($true = (irel @ X1 @ X1))) )),
% 16.83/2.62 inference(beta_eta_normalization,[],[f101])).
% 16.83/2.62 thf(f101,plain,(
% 16.83/2.62 ( ! [X1 : $i] : ((((^[Y0 : $i]: (irel @ Y0 @ Y0)) @ X1) = $true)) )),
% 16.83/2.62 inference(pi_clausification,[],[f82])).
% 16.83/2.62 thf(f82,plain,(
% 16.83/2.62 ((!! @ $i @ (^[Y0 : $i]: (irel @ Y0 @ Y0))) = $true)),
% 16.83/2.62 inference(cnf_transformation,[],[f40])).
% 16.83/2.62 thf(f40,plain,(
% 16.83/2.62 ((!! @ $i @ (^[Y0 : $i]: (irel @ Y0 @ Y0))) = $true)),
% 16.83/2.62 inference(fool_elimination,[],[f39])).
% 16.83/2.62 thf(f39,plain,(
% 16.83/2.62 ! [X0] : (irel @ X0 @ X0)),
% 16.83/2.62 inference(rectify,[],[f1])).
% 16.83/2.62 thf(f1,axiom,(
% 16.83/2.62 ! [X0] : (irel @ X0 @ X0)),
% 16.83/2.62 file('/export/starexec/sandbox/benchmark/theBenchmark.p',refl_axiom)).
% 16.83/2.62 thf(f30893,plain,(
% 16.83/2.62 ((irel @ sK2 @ sK2) = $false) | ((((!! @ $i @ (^[Y0 : $i]: ((irel @ sK3 @ Y0) => (f @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ sK3 @ Y0) => (a0 @ Y0)))))) & (((!! @ $i @ (^[Y0 : $i]: ((irel @ sK3 @ Y0) => (a1 @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ sK3 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b0 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b1 @ Y1))))))))))) & ((!! @ $i @ (^[Y0 : $i]: ((irel @ sK3 @ Y0) => (a0 @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ sK3 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a1 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b0 @ Y1))))))))))))) = $true) | ~spl0_2),
% 16.83/2.62 inference(boolean_simplification,[],[f30781])).
% 16.83/2.62 thf(f30781,plain,(
% 16.83/2.62 ($true = ($true => (((!! @ $i @ (^[Y0 : $i]: ((irel @ sK3 @ Y0) => (f @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ sK3 @ Y0) => (a0 @ Y0)))))) & (((!! @ $i @ (^[Y0 : $i]: ((irel @ sK3 @ Y0) => (a1 @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ sK3 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b0 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b1 @ Y1))))))))))) & ((!! @ $i @ (^[Y0 : $i]: ((irel @ sK3 @ Y0) => (a0 @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ sK3 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a1 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b0 @ Y1))))))))))))))) | ((irel @ sK2 @ sK2) = $false) | ~spl0_2),
% 16.83/2.62 inference(superposition,[],[f29130,f29490])).
% 16.83/2.62 thf(f29490,plain,(
% 16.83/2.62 ( ! [X0 : $i] : (((irel @ X0 @ sK3) = $true) | ((irel @ X0 @ sK2) = $false)) ) | ~spl0_2),
% 16.83/2.62 inference(trivial_inequality_removal,[],[f29489])).
% 16.83/2.62 thf(f29489,plain,(
% 16.83/2.62 ( ! [X0 : $i] : (($true = $false) | ((irel @ X0 @ sK2) = $false) | ((irel @ X0 @ sK3) = $true)) ) | ~spl0_2),
% 16.83/2.62 inference(boolean_simplification,[],[f29488])).
% 16.83/2.62 thf(f29488,plain,(
% 16.83/2.62 ( ! [X0 : $i] : (((irel @ X0 @ sK2) = $false) | ((irel @ X0 @ sK3) = $true) | (($false => (f @ sK3)) = $false)) ) | ~spl0_2),
% 16.83/2.62 inference(superposition,[],[f29465,f1100])).
% 16.83/2.62 thf(f1100,plain,(
% 16.83/2.62 ( ! [X2 : $i,X3 : $i,X1 : $i] : (((irel @ X3 @ X2) = $false) | ((irel @ X1 @ X2) = $true) | ((irel @ X1 @ X3) = $false)) )),
% 16.83/2.62 inference(binary_proxy_clausification,[],[f109])).
% 16.83/2.62 thf(f109,plain,(
% 16.83/2.62 ( ! [X2 : $i,X3 : $i,X1 : $i] : ((((irel @ X1 @ X3) & (irel @ X3 @ X2)) = $false) | ((irel @ X1 @ X2) = $true)) )),
% 16.83/2.62 inference(binary_proxy_clausification,[],[f108])).
% 16.83/2.62 thf(f29465,plain,(
% 16.83/2.62 ($false = ((irel @ sK2 @ sK3) => (f @ sK3))) | ~spl0_2),
% 16.83/2.62 inference(beta_eta_normalization,[],[f29463])).
% 16.83/2.62 thf(f29463,plain,(
% 16.83/2.62 (((^[Y0 : $i]: ((irel @ sK2 @ Y0) => (f @ Y0))) @ sK3) = $false) | ~spl0_2),
% 16.83/2.62 inference(sigma_clausification,[],[f29027])).
% 16.83/2.62 thf(f29027,plain,(
% 16.83/2.62 ((!! @ $i @ (^[Y0 : $i]: ((irel @ sK2 @ Y0) => (f @ Y0)))) = $false) | ~spl0_2),
% 16.83/2.62 inference(binary_proxy_clausification,[],[f129])).
% 16.83/2.62 thf(f129,plain,(
% 16.83/2.62 (((!! @ $i @ (^[Y0 : $i]: ((irel @ sK2 @ Y0) => (f @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ sK2 @ Y0) => (((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (f @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a0 @ Y1)))))) & (((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a1 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => ((!! @ $i @ (^[Y2 : $i]: ((irel @ Y1 @ Y2) => (b0 @ Y2)))) | (~ (!! @ $i @ (^[Y2 : $i]: ((irel @ Y1 @ Y2) => (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)))))))))))))))))) = $false) | ~spl0_2),
% 16.83/2.62 inference(avatar_component_clause,[],[f128])).
% 16.83/2.62 thf(f128,plain,(
% 16.83/2.62 spl0_2 <=> (((!! @ $i @ (^[Y0 : $i]: ((irel @ sK2 @ Y0) => (f @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ sK2 @ Y0) => (((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (f @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a0 @ Y1)))))) & (((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a1 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => ((!! @ $i @ (^[Y2 : $i]: ((irel @ Y1 @ Y2) => (b0 @ Y2)))) | (~ (!! @ $i @ (^[Y2 : $i]: ((irel @ Y1 @ Y2) => (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)))))))))))))))))) = $false)),
% 16.83/2.62 introduced(avatar_definition,[new_symbols(naming,[spl0_2])])).
% 16.83/2.62 thf(f29130,plain,(
% 16.83/2.62 ( ! [X1 : $i] : (($true = ((irel @ sK2 @ X1) => (((!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => (f @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => (a0 @ Y0)))))) & (((!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => (a1 @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b0 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (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)))))))))))))))) ) | ~spl0_2),
% 16.83/2.62 inference(beta_eta_normalization,[],[f29129])).
% 16.83/2.62 thf(f29129,plain,(
% 16.83/2.62 ( ! [X1 : $i] : ((((^[Y0 : $i]: ((irel @ sK2 @ Y0) => (((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (f @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a0 @ Y1)))))) & (((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a1 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => ((!! @ $i @ (^[Y2 : $i]: ((irel @ Y1 @ Y2) => (b0 @ Y2)))) | (~ (!! @ $i @ (^[Y2 : $i]: ((irel @ Y1 @ Y2) => (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))))))))))))))) @ X1) = $true)) ) | ~spl0_2),
% 16.83/2.62 inference(pi_clausification,[],[f29075])).
% 16.83/2.62 thf(f29075,plain,(
% 16.83/2.62 ($true = (!! @ $i @ (^[Y0 : $i]: ((irel @ sK2 @ Y0) => (((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (f @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a0 @ Y1)))))) & (((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a1 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => ((!! @ $i @ (^[Y2 : $i]: ((irel @ Y1 @ Y2) => (b0 @ Y2)))) | (~ (!! @ $i @ (^[Y2 : $i]: ((irel @ Y1 @ Y2) => (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))))))))))))))))) | ~spl0_2),
% 16.83/2.62 inference(not_proxy_clausification,[],[f29029])).
% 16.83/2.62 thf(f29029,plain,(
% 16.83/2.62 ((~ (!! @ $i @ (^[Y0 : $i]: ((irel @ sK2 @ Y0) => (((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (f @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a0 @ Y1)))))) & (((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a1 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => ((!! @ $i @ (^[Y2 : $i]: ((irel @ Y1 @ Y2) => (b0 @ Y2)))) | (~ (!! @ $i @ (^[Y2 : $i]: ((irel @ Y1 @ Y2) => (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))))))))))))))))) = $false) | ~spl0_2),
% 16.83/2.62 inference(boolean_simplification,[],[f29028])).
% 16.83/2.62 thf(f29028,plain,(
% 16.83/2.62 (($false | (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ sK2 @ Y0) => (((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (f @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a0 @ Y1)))))) & (((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a1 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => ((!! @ $i @ (^[Y2 : $i]: ((irel @ Y1 @ Y2) => (b0 @ Y2)))) | (~ (!! @ $i @ (^[Y2 : $i]: ((irel @ Y1 @ Y2) => (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)))))))))))))))))) = $false) | ~spl0_2),
% 16.83/2.62 inference(backward_demodulation,[],[f129,f29027])).
% 16.83/2.62 thf(f29542,plain,(
% 16.83/2.62 ( ! [X0 : $i] : (($true = ((irel @ sK3 @ X0) => (irel @ sK2 @ X0)))) ) | ~spl0_2),
% 16.83/2.62 inference(boolean_simplification,[],[f29524])).
% 16.83/2.62 thf(f29524,plain,(
% 16.83/2.62 ( ! [X0 : $i] : (($true = (($true & (irel @ sK3 @ X0)) => (irel @ sK2 @ X0)))) ) | ~spl0_2),
% 16.83/2.62 inference(superposition,[],[f108,f29485])).
% 16.83/2.62 thf(f29485,plain,(
% 16.83/2.62 ((irel @ sK2 @ sK3) = $true) | ~spl0_2),
% 16.83/2.62 inference(binary_proxy_clausification,[],[f29465])).
% 16.83/2.62 thf(f108,plain,(
% 16.83/2.62 ( ! [X2 : $i,X3 : $i,X1 : $i] : (($true = (((irel @ X1 @ X3) & (irel @ X3 @ X2)) => (irel @ X1 @ X2)))) )),
% 16.83/2.62 inference(beta_eta_normalization,[],[f107])).
% 16.83/2.62 thf(f107,plain,(
% 16.83/2.62 ( ! [X2 : $i,X3 : $i,X1 : $i] : ((((^[Y0 : $i]: (((irel @ X1 @ Y0) & (irel @ Y0 @ X2)) => (irel @ X1 @ X2))) @ X3) = $true)) )),
% 16.83/2.62 inference(pi_clausification,[],[f106])).
% 16.83/2.62 thf(f106,plain,(
% 16.83/2.62 ( ! [X2 : $i,X1 : $i] : (((!! @ $i @ (^[Y0 : $i]: (((irel @ X1 @ Y0) & (irel @ Y0 @ X2)) => (irel @ X1 @ X2)))) = $true)) )),
% 16.83/2.62 inference(beta_eta_normalization,[],[f105])).
% 16.83/2.62 thf(f105,plain,(
% 16.83/2.62 ( ! [X2 : $i,X1 : $i] : (($true = ((^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (((irel @ X1 @ Y1) & (irel @ Y1 @ Y0)) => (irel @ X1 @ Y0))))) @ X2))) )),
% 16.83/2.62 inference(pi_clausification,[],[f104])).
% 16.83/2.62 thf(f104,plain,(
% 16.83/2.62 ( ! [X1 : $i] : (($true = (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (((irel @ X1 @ Y1) & (irel @ Y1 @ Y0)) => (irel @ X1 @ Y0)))))))) )),
% 16.83/2.62 inference(beta_eta_normalization,[],[f103])).
% 16.83/2.62 thf(f103,plain,(
% 16.83/2.62 ( ! [X1 : $i] : ((((^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (((irel @ Y0 @ Y2) & (irel @ Y2 @ Y1)) => (irel @ Y0 @ Y1))))))) @ X1) = $true)) )),
% 16.83/2.62 inference(pi_clausification,[],[f70])).
% 16.83/2.62 thf(f70,plain,(
% 16.83/2.62 ((!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (((irel @ Y0 @ Y2) & (irel @ Y2 @ Y1)) => (irel @ Y0 @ Y1)))))))) = $true)),
% 16.83/2.62 inference(cnf_transformation,[],[f45])).
% 16.83/2.62 thf(f45,plain,(
% 16.83/2.62 ((!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (((irel @ Y0 @ Y2) & (irel @ Y2 @ Y1)) => (irel @ Y0 @ Y1)))))))) = $true)),
% 16.83/2.62 inference(fool_elimination,[],[f44])).
% 16.83/2.62 thf(f44,plain,(
% 16.83/2.62 ! [X0,X1,X2] : (((irel @ X0 @ X1) & (irel @ X2 @ X0)) => (irel @ X2 @ X1))),
% 16.83/2.62 inference(rectify,[],[f2])).
% 16.83/2.62 thf(f2,axiom,(
% 16.83/2.62 ! [X1,X2,X0] : (((irel @ X1 @ X2) & (irel @ X0 @ X1)) => (irel @ X0 @ X2))),
% 16.83/2.62 file('/export/starexec/sandbox/benchmark/theBenchmark.p',trans_axiom)).
% 16.83/2.62 thf(f40287,plain,(
% 16.83/2.62 ((~ (irel @ sK2 @ sK14)) = $true) | (~spl0_4 | ~spl0_62)),
% 16.83/2.62 inference(boolean_simplification,[],[f40269])).
% 16.83/2.62 thf(f40269,plain,(
% 16.83/2.62 ($true = ((irel @ sK2 @ sK14) => $false)) | (~spl0_4 | ~spl0_62)),
% 16.83/2.62 inference(superposition,[],[f40207,f38078])).
% 16.83/2.62 thf(f38078,plain,(
% 16.83/2.62 ($false = (a1 @ sK14)) | ~spl0_62),
% 16.83/2.62 inference(binary_proxy_clausification,[],[f38053])).
% 16.83/2.62 thf(f40207,plain,(
% 16.83/2.62 ( ! [X1 : $i] : (($true = ((irel @ sK2 @ X1) => (a1 @ X1)))) ) | ~spl0_4),
% 16.83/2.62 inference(beta_eta_normalization,[],[f40205])).
% 16.83/2.62 thf(f40205,plain,(
% 16.83/2.62 ( ! [X1 : $i] : ((((^[Y0 : $i]: ((irel @ sK2 @ Y0) => (a1 @ Y0))) @ X1) = $true)) ) | ~spl0_4),
% 16.83/2.62 inference(pi_clausification,[],[f200])).
% 16.83/2.62 thf(f200,plain,(
% 16.83/2.62 ($true = (!! @ $i @ (^[Y0 : $i]: ((irel @ sK2 @ Y0) => (a1 @ Y0))))) | ~spl0_4),
% 16.83/2.62 inference(avatar_component_clause,[],[f199])).
% 16.83/2.62 thf(f199,plain,(
% 16.83/2.62 spl0_4 <=> ($true = (!! @ $i @ (^[Y0 : $i]: ((irel @ sK2 @ Y0) => (a1 @ Y0)))))),
% 16.83/2.62 introduced(avatar_definition,[new_symbols(naming,[spl0_4])])).
% 16.83/2.62 thf(f40038,plain,(
% 16.83/2.62 ~spl0_2 | ~spl0_10 | ~spl0_139),
% 16.83/2.62 inference(avatar_contradiction_clause,[],[f40037])).
% 16.83/2.62 thf(f40037,plain,(
% 16.83/2.62 $false | (~spl0_2 | ~spl0_10 | ~spl0_139)),
% 16.83/2.62 inference(trivial_inequality_removal,[],[f40036])).
% 16.83/2.62 thf(f40036,plain,(
% 16.83/2.62 ($true = $false) | (~spl0_2 | ~spl0_10 | ~spl0_139)),
% 16.83/2.62 inference(forward_demodulation,[],[f40014,f37168])).
% 16.83/2.62 thf(f37168,plain,(
% 16.83/2.62 ((irel @ sK7 @ sK40) = $false) | (~spl0_2 | ~spl0_10 | ~spl0_139)),
% 16.83/2.62 inference(not_proxy_clausification,[],[f33383])).
% 16.83/2.62 thf(f33383,plain,(
% 16.83/2.62 ((~ (irel @ sK7 @ sK40)) = $true) | (~spl0_2 | ~spl0_10 | ~spl0_139)),
% 16.83/2.62 inference(boolean_simplification,[],[f33378])).
% 16.83/2.62 thf(f33378,plain,(
% 16.83/2.62 (((irel @ sK7 @ sK40) => $false) = $true) | (~spl0_2 | ~spl0_10 | ~spl0_139)),
% 16.83/2.62 inference(superposition,[],[f30734,f33366])).
% 16.83/2.62 thf(f33366,plain,(
% 16.83/2.62 ($false = (b0 @ sK40)) | (~spl0_2 | ~spl0_10 | ~spl0_139)),
% 16.83/2.62 inference(binary_proxy_clausification,[],[f33351])).
% 16.83/2.62 thf(f33351,plain,(
% 16.83/2.62 (((irel @ sK20 @ sK40) => (b0 @ sK40)) = $false) | (~spl0_2 | ~spl0_10 | ~spl0_139)),
% 16.83/2.62 inference(beta_eta_normalization,[],[f33350])).
% 16.83/2.62 thf(f33350,plain,(
% 16.83/2.62 (((^[Y0 : $i]: ((irel @ sK20 @ Y0) => (b0 @ Y0))) @ sK40) = $false) | (~spl0_2 | ~spl0_10 | ~spl0_139)),
% 16.83/2.62 inference(sigma_clausification,[],[f33329])).
% 16.83/2.62 thf(f33329,plain,(
% 16.83/2.62 ((!! @ $i @ (^[Y0 : $i]: ((irel @ sK20 @ Y0) => (b0 @ Y0)))) = $false) | (~spl0_2 | ~spl0_10 | ~spl0_139)),
% 16.83/2.62 inference(boolean_simplification,[],[f33328])).
% 16.83/2.62 thf(f33328,plain,(
% 16.83/2.62 (((!! @ $i @ (^[Y0 : $i]: ((irel @ sK20 @ Y0) => (b0 @ Y0)))) | $false) = $false) | (~spl0_2 | ~spl0_10 | ~spl0_139)),
% 16.83/2.62 inference(backward_demodulation,[],[f33311,f33326])).
% 16.83/2.62 thf(f33326,plain,(
% 16.83/2.62 ($false = (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ sK20 @ Y0) => (b1 @ Y0)))))) | (~spl0_2 | ~spl0_10 | ~spl0_139)),
% 16.83/2.62 inference(binary_proxy_clausification,[],[f33311])).
% 16.83/2.62 thf(f33311,plain,(
% 16.83/2.62 ($false = ((!! @ $i @ (^[Y0 : $i]: ((irel @ sK20 @ Y0) => (b0 @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ sK20 @ Y0) => (b1 @ Y0))))))) | (~spl0_2 | ~spl0_10 | ~spl0_139)),
% 16.83/2.62 inference(boolean_simplification,[],[f33310])).
% 16.83/2.62 thf(f33310,plain,(
% 16.83/2.62 (($true => ((!! @ $i @ (^[Y0 : $i]: ((irel @ sK20 @ Y0) => (b0 @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ sK20 @ Y0) => (b1 @ Y0))))))) = $false) | (~spl0_2 | ~spl0_10 | ~spl0_139)),
% 16.83/2.62 inference(backward_demodulation,[],[f33265,f33304])).
% 16.83/2.62 thf(f33304,plain,(
% 16.83/2.62 ((irel @ sK7 @ sK20) = $true) | (~spl0_2 | ~spl0_10 | ~spl0_139)),
% 16.83/2.62 inference(binary_proxy_clausification,[],[f33265])).
% 16.83/2.62 thf(f33265,plain,(
% 16.83/2.62 (((irel @ sK7 @ sK20) => ((!! @ $i @ (^[Y0 : $i]: ((irel @ sK20 @ Y0) => (b0 @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ sK20 @ Y0) => (b1 @ Y0))))))) = $false) | (~spl0_2 | ~spl0_10 | ~spl0_139)),
% 16.83/2.62 inference(beta_eta_normalization,[],[f33260])).
% 16.83/2.62 thf(f33260,plain,(
% 16.83/2.62 (((^[Y0 : $i]: ((irel @ sK7 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b0 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b1 @ Y1)))))))) @ sK20) = $false) | (~spl0_2 | ~spl0_10 | ~spl0_139)),
% 16.83/2.62 inference(sigma_clausification,[],[f33222])).
% 16.83/2.62 thf(f33222,plain,(
% 16.83/2.62 ((!! @ $i @ (^[Y0 : $i]: ((irel @ sK7 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b0 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b1 @ Y1))))))))) = $false) | (~spl0_2 | ~spl0_10 | ~spl0_139)),
% 16.83/2.62 inference(not_proxy_clausification,[],[f31456])).
% 16.83/2.62 thf(f31456,plain,(
% 16.83/2.62 ((~ (!! @ $i @ (^[Y0 : $i]: ((irel @ sK7 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b0 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b1 @ Y1)))))))))) = $true) | (~spl0_2 | ~spl0_10 | ~spl0_139)),
% 16.83/2.62 inference(binary_proxy_clausification,[],[f31036])).
% 16.83/2.62 thf(f31036,plain,(
% 16.83/2.62 (((~ (!! @ $i @ (^[Y0 : $i]: ((irel @ sK7 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b0 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b1 @ Y1)))))))))) & ((!! @ $i @ (^[Y0 : $i]: ((irel @ sK7 @ Y0) => (a0 @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ sK7 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a1 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b0 @ Y1)))))))))))) = $true) | (~spl0_2 | ~spl0_10 | ~spl0_139)),
% 16.83/2.62 inference(binary_proxy_clausification,[],[f30179])).
% 16.83/2.62 thf(f30179,plain,(
% 16.83/2.62 ((((!! @ $i @ (^[Y0 : $i]: ((irel @ sK7 @ Y0) => (f @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ sK7 @ Y0) => (a0 @ Y0)))))) & ((~ (!! @ $i @ (^[Y0 : $i]: ((irel @ sK7 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b0 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b1 @ Y1)))))))))) & ((!! @ $i @ (^[Y0 : $i]: ((irel @ sK7 @ Y0) => (a0 @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ sK7 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a1 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b0 @ Y1))))))))))))) = $true) | (~spl0_2 | ~spl0_10 | ~spl0_139)),
% 16.83/2.62 inference(boolean_simplification,[],[f30178])).
% 16.83/2.62 thf(f30178,plain,(
% 16.83/2.62 ((((!! @ $i @ (^[Y0 : $i]: ((irel @ sK7 @ Y0) => (f @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ sK7 @ Y0) => (a0 @ Y0)))))) & (($false | (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ sK7 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b0 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b1 @ Y1))))))))))) & ((!! @ $i @ (^[Y0 : $i]: ((irel @ sK7 @ Y0) => (a0 @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ sK7 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a1 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b0 @ Y1))))))))))))) = $true) | (~spl0_2 | ~spl0_10 | ~spl0_139)),
% 16.83/2.62 inference(backward_demodulation,[],[f29920,f30177])).
% 16.83/2.62 thf(f30177,plain,(
% 16.83/2.62 ((!! @ $i @ (^[Y0 : $i]: ((irel @ sK7 @ Y0) => (a1 @ Y0)))) = $false) | ~spl0_139),
% 16.83/2.62 inference(boolean_simplification,[],[f30176])).
% 16.83/2.62 thf(f30176,plain,(
% 16.83/2.62 (((!! @ $i @ (^[Y0 : $i]: ((irel @ sK7 @ Y0) => (a1 @ Y0)))) | $false) = $false) | ~spl0_139),
% 16.83/2.62 inference(backward_demodulation,[],[f29891,f30174])).
% 16.83/2.62 thf(f30174,plain,(
% 16.83/2.62 ((~ (!! @ $i @ (^[Y0 : $i]: ((irel @ sK7 @ Y0) => (b0 @ Y0))))) = $false) | ~spl0_139),
% 16.83/2.62 inference(binary_proxy_clausification,[],[f29891])).
% 16.83/2.62 thf(f29891,plain,(
% 16.83/2.62 (((!! @ $i @ (^[Y0 : $i]: ((irel @ sK7 @ Y0) => (a1 @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ sK7 @ Y0) => (b0 @ Y0)))))) = $false) | ~spl0_139),
% 16.83/2.62 inference(avatar_component_clause,[],[f29890])).
% 16.83/2.62 thf(f29890,plain,(
% 16.83/2.62 spl0_139 <=> (((!! @ $i @ (^[Y0 : $i]: ((irel @ sK7 @ Y0) => (a1 @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ sK7 @ Y0) => (b0 @ Y0)))))) = $false)),
% 16.83/2.62 introduced(avatar_definition,[new_symbols(naming,[spl0_139])])).
% 16.83/2.62 thf(f29920,plain,(
% 16.83/2.62 ((((!! @ $i @ (^[Y0 : $i]: ((irel @ sK7 @ Y0) => (f @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ sK7 @ Y0) => (a0 @ Y0)))))) & (((!! @ $i @ (^[Y0 : $i]: ((irel @ sK7 @ Y0) => (a1 @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ sK7 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b0 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b1 @ Y1))))))))))) & ((!! @ $i @ (^[Y0 : $i]: ((irel @ sK7 @ Y0) => (a0 @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ sK7 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a1 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b0 @ Y1))))))))))))) = $true) | (~spl0_2 | ~spl0_10)),
% 16.83/2.62 inference(boolean_simplification,[],[f29909])).
% 16.83/2.62 thf(f29909,plain,(
% 16.83/2.62 ($true = ($true => (((!! @ $i @ (^[Y0 : $i]: ((irel @ sK7 @ Y0) => (f @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ sK7 @ Y0) => (a0 @ Y0)))))) & (((!! @ $i @ (^[Y0 : $i]: ((irel @ sK7 @ Y0) => (a1 @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ sK7 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b0 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b1 @ Y1))))))))))) & ((!! @ $i @ (^[Y0 : $i]: ((irel @ sK7 @ Y0) => (a0 @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ sK7 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a1 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b0 @ Y1))))))))))))))) | (~spl0_2 | ~spl0_10)),
% 16.83/2.62 inference(superposition,[],[f29130,f29881])).
% 16.83/2.62 thf(f29881,plain,(
% 16.83/2.62 ((irel @ sK2 @ sK7) = $true) | ~spl0_10),
% 16.83/2.62 inference(binary_proxy_clausification,[],[f29828])).
% 16.83/2.62 thf(f29828,plain,(
% 16.83/2.62 (((irel @ sK2 @ sK7) => ((!! @ $i @ (^[Y0 : $i]: ((irel @ sK7 @ Y0) => (a1 @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ sK7 @ Y0) => (b0 @ Y0))))))) = $false) | ~spl0_10),
% 16.83/2.62 inference(beta_eta_normalization,[],[f29826])).
% 16.83/2.62 thf(f29826,plain,(
% 16.83/2.62 (((^[Y0 : $i]: ((irel @ sK2 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a1 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b0 @ Y1)))))))) @ sK7) = $false) | ~spl0_10),
% 16.83/2.62 inference(sigma_clausification,[],[f29765])).
% 16.83/2.62 thf(f29765,plain,(
% 16.83/2.62 ((!! @ $i @ (^[Y0 : $i]: ((irel @ sK2 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a1 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b0 @ Y1))))))))) = $false) | ~spl0_10),
% 16.83/2.62 inference(not_proxy_clausification,[],[f696])).
% 16.83/2.62 thf(f696,plain,(
% 16.83/2.62 ((~ (!! @ $i @ (^[Y0 : $i]: ((irel @ sK2 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a1 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b0 @ Y1)))))))))) = $true) | ~spl0_10),
% 16.83/2.62 inference(avatar_component_clause,[],[f695])).
% 16.83/2.62 thf(f695,plain,(
% 16.83/2.62 spl0_10 <=> ((~ (!! @ $i @ (^[Y0 : $i]: ((irel @ sK2 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a1 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b0 @ Y1)))))))))) = $true)),
% 16.83/2.62 introduced(avatar_definition,[new_symbols(naming,[spl0_10])])).
% 16.83/2.62 thf(f30734,plain,(
% 16.83/2.62 ( ! [X1 : $i] : ((((irel @ sK7 @ X1) => (b0 @ X1)) = $true)) ) | ~spl0_139),
% 16.83/2.62 inference(beta_eta_normalization,[],[f30733])).
% 16.83/2.62 thf(f30733,plain,(
% 16.83/2.62 ( ! [X1 : $i] : (($true = ((^[Y0 : $i]: ((irel @ sK7 @ Y0) => (b0 @ Y0))) @ X1))) ) | ~spl0_139),
% 16.83/2.62 inference(pi_clausification,[],[f30695])).
% 16.83/2.62 thf(f30695,plain,(
% 16.83/2.62 ((!! @ $i @ (^[Y0 : $i]: ((irel @ sK7 @ Y0) => (b0 @ Y0)))) = $true) | ~spl0_139),
% 16.83/2.62 inference(not_proxy_clausification,[],[f30174])).
% 16.83/2.62 thf(f40014,plain,(
% 16.83/2.62 ((irel @ sK7 @ sK40) = $true) | (~spl0_2 | ~spl0_10 | ~spl0_139)),
% 16.83/2.62 inference(boolean_simplification,[],[f40003])).
% 16.83/2.62 thf(f40003,plain,(
% 16.83/2.62 (($true => (irel @ sK7 @ sK40)) = $true) | (~spl0_2 | ~spl0_10 | ~spl0_139)),
% 16.83/2.62 inference(superposition,[],[f33341,f33367])).
% 16.83/2.62 thf(f33367,plain,(
% 16.83/2.62 ($true = (irel @ sK20 @ sK40)) | (~spl0_2 | ~spl0_10 | ~spl0_139)),
% 16.83/2.62 inference(binary_proxy_clausification,[],[f33351])).
% 16.83/2.62 thf(f33341,plain,(
% 16.83/2.62 ( ! [X0 : $i] : (($true = ((irel @ sK20 @ X0) => (irel @ sK7 @ X0)))) ) | (~spl0_2 | ~spl0_10 | ~spl0_139)),
% 16.83/2.62 inference(boolean_simplification,[],[f33339])).
% 16.83/2.62 thf(f33339,plain,(
% 16.83/2.62 ( ! [X0 : $i] : (($true = (($true & (irel @ sK20 @ X0)) => (irel @ sK7 @ X0)))) ) | (~spl0_2 | ~spl0_10 | ~spl0_139)),
% 16.83/2.62 inference(superposition,[],[f108,f33304])).
% 16.83/2.62 thf(f37745,plain,(
% 16.83/2.62 spl0_62 | ~spl0_2 | ~spl0_6),
% 16.83/2.62 inference(avatar_split_clause,[],[f37744,f467,f128,f14401])).
% 16.83/2.62 thf(f37744,plain,(
% 16.83/2.62 (((!! @ $i @ (^[Y0 : $i]: ((irel @ sK13 @ Y0) => (a1 @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ sK13 @ Y0) => (b0 @ Y0)))))) = $false) | (~spl0_2 | ~spl0_6)),
% 16.83/2.62 inference(boolean_simplification,[],[f37743])).
% 16.83/2.62 thf(f37743,plain,(
% 16.83/2.62 (($true => ((!! @ $i @ (^[Y0 : $i]: ((irel @ sK13 @ Y0) => (a1 @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ sK13 @ Y0) => (b0 @ Y0))))))) = $false) | (~spl0_2 | ~spl0_6)),
% 16.83/2.62 inference(backward_demodulation,[],[f36602,f37729])).
% 16.83/2.62 thf(f29903,plain,(
% 16.83/2.62 spl0_139 | ~spl0_10),
% 16.83/2.62 inference(avatar_split_clause,[],[f29902,f695,f29890])).
% 16.83/2.62 thf(f29902,plain,(
% 16.83/2.62 (((!! @ $i @ (^[Y0 : $i]: ((irel @ sK7 @ Y0) => (a1 @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ sK7 @ Y0) => (b0 @ Y0)))))) = $false) | ~spl0_10),
% 16.83/2.62 inference(boolean_simplification,[],[f29901])).
% 16.83/2.62 thf(f29901,plain,(
% 16.83/2.62 (($true => ((!! @ $i @ (^[Y0 : $i]: ((irel @ sK7 @ Y0) => (a1 @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ sK7 @ Y0) => (b0 @ Y0))))))) = $false) | ~spl0_10),
% 16.83/2.62 inference(backward_demodulation,[],[f29828,f29881])).
% 16.83/2.62 thf(f29666,plain,(
% 16.83/2.62 spl0_10 | ~spl0_2 | ~spl0_3),
% 16.83/2.62 inference(avatar_split_clause,[],[f29665,f196,f128,f695])).
% 16.83/2.62 thf(f196,plain,(
% 16.83/2.62 spl0_3 <=> ((~ (!! @ $i @ (^[Y0 : $i]: ((irel @ sK2 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b0 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b1 @ Y1)))))))))) = $true)),
% 16.83/2.62 introduced(avatar_definition,[new_symbols(naming,[spl0_3])])).
% 16.83/2.62 thf(f29665,plain,(
% 16.83/2.62 ((~ (!! @ $i @ (^[Y0 : $i]: ((irel @ sK2 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a1 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b0 @ Y1)))))))))) = $true) | (~spl0_2 | ~spl0_3)),
% 16.83/2.62 inference(boolean_simplification,[],[f29664])).
% 16.83/2.62 thf(f29664,plain,(
% 16.83/2.62 (($false | (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ sK2 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a1 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b0 @ Y1))))))))))) = $true) | (~spl0_2 | ~spl0_3)),
% 16.83/2.62 inference(forward_demodulation,[],[f29663,f29649])).
% 16.83/2.62 thf(f29649,plain,(
% 16.83/2.62 ((!! @ $i @ (^[Y0 : $i]: ((irel @ sK2 @ Y0) => (a0 @ Y0)))) = $false) | (~spl0_2 | ~spl0_3)),
% 16.83/2.62 inference(not_proxy_clausification,[],[f29607])).
% 16.83/2.62 thf(f29607,plain,(
% 16.83/2.62 ($true = (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ sK2 @ Y0) => (a0 @ Y0)))))) | (~spl0_2 | ~spl0_3)),
% 16.83/2.62 inference(boolean_simplification,[],[f29606])).
% 16.83/2.62 thf(f29606,plain,(
% 16.83/2.62 (((~ (!! @ $i @ (^[Y0 : $i]: ((irel @ sK2 @ Y0) => (a0 @ Y0))))) & $true) = $true) | (~spl0_2 | ~spl0_3)),
% 16.83/2.62 inference(backward_demodulation,[],[f29344,f29604])).
% 16.83/2.62 thf(f29604,plain,(
% 16.83/2.62 (((!! @ $i @ (^[Y0 : $i]: ((irel @ sK2 @ Y0) => (a0 @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ sK2 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a1 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b0 @ Y1))))))))))) = $true) | (~spl0_2 | ~spl0_3)),
% 16.83/2.62 inference(binary_proxy_clausification,[],[f29344])).
% 16.83/2.62 thf(f29344,plain,(
% 16.83/2.62 (((~ (!! @ $i @ (^[Y0 : $i]: ((irel @ sK2 @ Y0) => (a0 @ Y0))))) & ((!! @ $i @ (^[Y0 : $i]: ((irel @ sK2 @ Y0) => (a0 @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ sK2 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a1 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b0 @ Y1)))))))))))) = $true) | (~spl0_2 | ~spl0_3)),
% 16.83/2.62 inference(boolean_simplification,[],[f29343])).
% 16.83/2.62 thf(f29343,plain,(
% 16.83/2.62 ($true = (($false | (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ sK2 @ Y0) => (a0 @ Y0)))))) & ((!! @ $i @ (^[Y0 : $i]: ((irel @ sK2 @ Y0) => (a0 @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ sK2 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a1 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b0 @ Y1))))))))))))) | (~spl0_2 | ~spl0_3)),
% 16.83/2.62 inference(forward_demodulation,[],[f29342,f29027])).
% 16.83/2.62 thf(f29342,plain,(
% 16.83/2.62 ($true = (((!! @ $i @ (^[Y0 : $i]: ((irel @ sK2 @ Y0) => (f @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ sK2 @ Y0) => (a0 @ Y0)))))) & ((!! @ $i @ (^[Y0 : $i]: ((irel @ sK2 @ Y0) => (a0 @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ sK2 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a1 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b0 @ Y1))))))))))))) | (~spl0_2 | ~spl0_3)),
% 16.83/2.62 inference(boolean_simplification,[],[f29341])).
% 16.83/2.62 thf(f29341,plain,(
% 16.83/2.62 (($true => (((!! @ $i @ (^[Y0 : $i]: ((irel @ sK2 @ Y0) => (f @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ sK2 @ Y0) => (a0 @ Y0)))))) & ((!! @ $i @ (^[Y0 : $i]: ((irel @ sK2 @ Y0) => (a0 @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ sK2 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a1 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b0 @ Y1))))))))))))) = $true) | (~spl0_2 | ~spl0_3)),
% 16.83/2.62 inference(forward_demodulation,[],[f29215,f102])).
% 16.83/2.62 thf(f29215,plain,(
% 16.83/2.62 (((irel @ sK2 @ sK2) => (((!! @ $i @ (^[Y0 : $i]: ((irel @ sK2 @ Y0) => (f @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ sK2 @ Y0) => (a0 @ Y0)))))) & ((!! @ $i @ (^[Y0 : $i]: ((irel @ sK2 @ Y0) => (a0 @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ sK2 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a1 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b0 @ Y1))))))))))))) = $true) | (~spl0_2 | ~spl0_3)),
% 16.83/2.62 inference(boolean_simplification,[],[f29214])).
% 16.83/2.62 thf(f29214,plain,(
% 16.83/2.62 (((irel @ sK2 @ sK2) => (((!! @ $i @ (^[Y0 : $i]: ((irel @ sK2 @ Y0) => (f @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ sK2 @ Y0) => (a0 @ Y0)))))) & ($true & ((!! @ $i @ (^[Y0 : $i]: ((irel @ sK2 @ Y0) => (a0 @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ sK2 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a1 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b0 @ Y1)))))))))))))) = $true) | (~spl0_2 | ~spl0_3)),
% 16.83/2.62 inference(boolean_simplification,[],[f29213])).
% 16.83/2.62 thf(f29213,plain,(
% 16.83/2.62 (((irel @ sK2 @ sK2) => (((!! @ $i @ (^[Y0 : $i]: ((irel @ sK2 @ Y0) => (f @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ sK2 @ Y0) => (a0 @ Y0)))))) & (((!! @ $i @ (^[Y0 : $i]: ((irel @ sK2 @ Y0) => (a1 @ Y0)))) | $true) & ((!! @ $i @ (^[Y0 : $i]: ((irel @ sK2 @ Y0) => (a0 @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ sK2 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a1 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b0 @ Y1)))))))))))))) = $true) | (~spl0_2 | ~spl0_3)),
% 16.83/2.62 inference(boolean_simplification,[],[f29149])).
% 16.83/2.62 thf(f29149,plain,(
% 16.83/2.62 (((irel @ sK2 @ sK2) => (((!! @ $i @ (^[Y0 : $i]: ((irel @ sK2 @ Y0) => (f @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ sK2 @ Y0) => (a0 @ Y0)))))) & (((!! @ $i @ (^[Y0 : $i]: ((irel @ sK2 @ Y0) => (a1 @ Y0)))) | (~ $false)) & ((!! @ $i @ (^[Y0 : $i]: ((irel @ sK2 @ Y0) => (a0 @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ sK2 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a1 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b0 @ Y1)))))))))))))) = $true) | (~spl0_2 | ~spl0_3)),
% 16.83/2.62 inference(superposition,[],[f29130,f924])).
% 16.83/2.62 thf(f924,plain,(
% 16.83/2.62 ((!! @ $i @ (^[Y0 : $i]: ((irel @ sK2 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b0 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b1 @ Y1))))))))) = $false) | ~spl0_3),
% 16.83/2.62 inference(not_proxy_clausification,[],[f197])).
% 16.83/2.62 thf(f197,plain,(
% 16.83/2.62 ((~ (!! @ $i @ (^[Y0 : $i]: ((irel @ sK2 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b0 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b1 @ Y1)))))))))) = $true) | ~spl0_3),
% 16.83/2.62 inference(avatar_component_clause,[],[f196])).
% 16.83/2.62 thf(f29663,plain,(
% 16.83/2.62 (((!! @ $i @ (^[Y0 : $i]: ((irel @ sK2 @ Y0) => (a0 @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ sK2 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a1 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b0 @ Y1))))))))))) = $true) | (~spl0_2 | ~spl0_3)),
% 16.83/2.62 inference(boolean_simplification,[],[f29662])).
% 16.83/2.62 thf(f29662,plain,(
% 16.83/2.62 (($true & ((!! @ $i @ (^[Y0 : $i]: ((irel @ sK2 @ Y0) => (a0 @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ sK2 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a1 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b0 @ Y1)))))))))))) = $true) | (~spl0_2 | ~spl0_3)),
% 16.83/2.62 inference(boolean_simplification,[],[f29661])).
% 16.83/2.62 thf(f29661,plain,(
% 16.83/2.62 ((((!! @ $i @ (^[Y0 : $i]: ((irel @ sK2 @ Y0) => (a1 @ Y0)))) | $true) & ((!! @ $i @ (^[Y0 : $i]: ((irel @ sK2 @ Y0) => (a0 @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ sK2 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a1 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b0 @ Y1)))))))))))) = $true) | (~spl0_2 | ~spl0_3)),
% 16.83/2.62 inference(boolean_simplification,[],[f29660])).
% 16.83/2.62 thf(f29660,plain,(
% 16.83/2.62 ($true = (((!! @ $i @ (^[Y0 : $i]: ((irel @ sK2 @ Y0) => (a1 @ Y0)))) | (~ $false)) & ((!! @ $i @ (^[Y0 : $i]: ((irel @ sK2 @ Y0) => (a0 @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ sK2 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a1 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b0 @ Y1))))))))))))) | (~spl0_2 | ~spl0_3)),
% 16.83/2.62 inference(forward_demodulation,[],[f29659,f924])).
% 16.83/2.62 thf(f29659,plain,(
% 16.83/2.62 ($true = (((!! @ $i @ (^[Y0 : $i]: ((irel @ sK2 @ Y0) => (a1 @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ sK2 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b0 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b1 @ Y1))))))))))) & ((!! @ $i @ (^[Y0 : $i]: ((irel @ sK2 @ Y0) => (a0 @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ sK2 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a1 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b0 @ Y1))))))))))))) | (~spl0_2 | ~spl0_3)),
% 16.83/2.62 inference(boolean_simplification,[],[f29658])).
% 16.83/2.62 thf(f29658,plain,(
% 16.83/2.62 (($true => (((!! @ $i @ (^[Y0 : $i]: ((irel @ sK2 @ Y0) => (a1 @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ sK2 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b0 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b1 @ Y1))))))))))) & ((!! @ $i @ (^[Y0 : $i]: ((irel @ sK2 @ Y0) => (a0 @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ sK2 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a1 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b0 @ Y1))))))))))))) = $true) | (~spl0_2 | ~spl0_3)),
% 16.83/2.62 inference(forward_demodulation,[],[f29652,f102])).
% 16.83/2.62 thf(f29652,plain,(
% 16.83/2.62 ($true = ((irel @ sK2 @ sK2) => (((!! @ $i @ (^[Y0 : $i]: ((irel @ sK2 @ Y0) => (a1 @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ sK2 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b0 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b1 @ Y1))))))))))) & ((!! @ $i @ (^[Y0 : $i]: ((irel @ sK2 @ Y0) => (a0 @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ sK2 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a1 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b0 @ Y1)))))))))))))) | (~spl0_2 | ~spl0_3)),
% 16.83/2.62 inference(boolean_simplification,[],[f29651])).
% 16.83/2.62 thf(f29651,plain,(
% 16.83/2.62 (((irel @ sK2 @ sK2) => ($true & (((!! @ $i @ (^[Y0 : $i]: ((irel @ sK2 @ Y0) => (a1 @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ sK2 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b0 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b1 @ Y1))))))))))) & ((!! @ $i @ (^[Y0 : $i]: ((irel @ sK2 @ Y0) => (a0 @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ sK2 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a1 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b0 @ Y1)))))))))))))) = $true) | (~spl0_2 | ~spl0_3)),
% 16.83/2.62 inference(boolean_simplification,[],[f29650])).
% 16.83/2.62 thf(f29650,plain,(
% 16.83/2.62 (((irel @ sK2 @ sK2) => (((!! @ $i @ (^[Y0 : $i]: ((irel @ sK2 @ Y0) => (f @ Y0)))) | $true) & (((!! @ $i @ (^[Y0 : $i]: ((irel @ sK2 @ Y0) => (a1 @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ sK2 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b0 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b1 @ Y1))))))))))) & ((!! @ $i @ (^[Y0 : $i]: ((irel @ sK2 @ Y0) => (a0 @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ sK2 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a1 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b0 @ Y1)))))))))))))) = $true) | (~spl0_2 | ~spl0_3)),
% 16.83/2.62 inference(superposition,[],[f29130,f29607])).
% 16.83/2.62 thf(f28949,plain,(
% 16.83/2.62 spl0_63 | ~spl0_1 | ~spl0_6 | ~spl0_23 | ~spl0_62),
% 16.83/2.62 inference(avatar_split_clause,[],[f28948,f14401,f2358,f467,f125,f17169])).
% 16.83/2.62 thf(f17169,plain,(
% 16.83/2.62 spl0_63 <=> ($false = ((!! @ $i @ (^[Y0 : $i]: ((irel @ sK27 @ Y0) => (b0 @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ sK27 @ Y0) => (b1 @ Y0)))))))),
% 16.83/2.62 introduced(avatar_definition,[new_symbols(naming,[spl0_63])])).
% 16.83/2.62 thf(f125,plain,(
% 16.83/2.62 spl0_1 <=> ($false = ((!! @ $i @ (^[Y0 : $i]: ((irel @ sK2 @ Y0) => (f @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ sK2 @ Y0) => (((!! @ $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) => (b0 @ Y2)))) | (~ (!! @ $i @ (^[Y2 : $i]: ((irel @ Y1 @ Y2) => (b1 @ Y2))))))))))) & ((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (f @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a0 @ Y1))))))))))))))),
% 16.83/2.62 introduced(avatar_definition,[new_symbols(naming,[spl0_1])])).
% 16.83/2.62 thf(f2358,plain,(
% 16.83/2.62 spl0_23 <=> ((!! @ $i @ (^[Y0 : $i]: ((irel @ sK13 @ Y0) => (f @ Y0)))) = $true)),
% 16.83/2.62 introduced(avatar_definition,[new_symbols(naming,[spl0_23])])).
% 16.83/2.62 thf(f28948,plain,(
% 16.83/2.62 ($false = ((!! @ $i @ (^[Y0 : $i]: ((irel @ sK27 @ Y0) => (b0 @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ sK27 @ Y0) => (b1 @ Y0))))))) | (~spl0_1 | ~spl0_6 | ~spl0_23 | ~spl0_62)),
% 16.83/2.62 inference(trivial_inequality_removal,[],[f28947])).
% 16.83/2.62 thf(f28947,plain,(
% 16.83/2.62 ($true = $false) | ($false = ((!! @ $i @ (^[Y0 : $i]: ((irel @ sK27 @ Y0) => (b0 @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ sK27 @ Y0) => (b1 @ Y0))))))) | (~spl0_1 | ~spl0_6 | ~spl0_23 | ~spl0_62)),
% 16.83/2.62 inference(forward_demodulation,[],[f28938,f28931])).
% 16.83/2.62 thf(f28931,plain,(
% 16.83/2.62 ((irel @ sK13 @ sK27) = $true) | (~spl0_1 | ~spl0_6 | ~spl0_23 | ~spl0_62)),
% 16.83/2.62 inference(binary_proxy_clausification,[],[f27135])).
% 16.83/2.62 thf(f27135,plain,(
% 16.83/2.62 (((irel @ sK13 @ sK27) => ((!! @ $i @ (^[Y0 : $i]: ((irel @ sK27 @ Y0) => (b0 @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ sK27 @ Y0) => (b1 @ Y0))))))) = $false) | (~spl0_1 | ~spl0_6 | ~spl0_23 | ~spl0_62)),
% 16.83/2.62 inference(beta_eta_normalization,[],[f27129])).
% 16.83/2.62 thf(f27129,plain,(
% 16.83/2.62 (((^[Y0 : $i]: ((irel @ sK13 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b0 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b1 @ Y1)))))))) @ sK27) = $false) | (~spl0_1 | ~spl0_6 | ~spl0_23 | ~spl0_62)),
% 16.83/2.62 inference(sigma_clausification,[],[f27076])).
% 16.83/2.62 thf(f27076,plain,(
% 16.83/2.62 ((!! @ $i @ (^[Y0 : $i]: ((irel @ sK13 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b0 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b1 @ Y1))))))))) = $false) | (~spl0_1 | ~spl0_6 | ~spl0_23 | ~spl0_62)),
% 16.83/2.62 inference(not_proxy_clausification,[],[f25524])).
% 16.83/2.62 thf(f25524,plain,(
% 16.83/2.62 ($true = (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ sK13 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b0 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b1 @ Y1))))))))))) | (~spl0_1 | ~spl0_6 | ~spl0_23 | ~spl0_62)),
% 16.83/2.62 inference(binary_proxy_clausification,[],[f25370])).
% 16.83/2.62 thf(f25370,plain,(
% 16.83/2.62 ($true = (((!! @ $i @ (^[Y0 : $i]: ((irel @ sK13 @ Y0) => (a0 @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ sK13 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a1 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b0 @ Y1))))))))))) & (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ sK13 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b0 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b1 @ Y1)))))))))))) | (~spl0_1 | ~spl0_6 | ~spl0_23 | ~spl0_62)),
% 16.83/2.62 inference(boolean_simplification,[],[f25369])).
% 16.83/2.62 thf(f25369,plain,(
% 16.83/2.62 ((((!! @ $i @ (^[Y0 : $i]: ((irel @ sK13 @ Y0) => (a0 @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ sK13 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a1 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b0 @ Y1))))))))))) & ((~ (!! @ $i @ (^[Y0 : $i]: ((irel @ sK13 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b0 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b1 @ Y1)))))))))) & $true)) = $true) | (~spl0_1 | ~spl0_6 | ~spl0_23 | ~spl0_62)),
% 16.83/2.62 inference(boolean_simplification,[],[f25368])).
% 16.83/2.62 thf(f25368,plain,(
% 16.83/2.62 ((((!! @ $i @ (^[Y0 : $i]: ((irel @ sK13 @ Y0) => (a0 @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ sK13 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a1 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b0 @ Y1))))))))))) & ((~ (!! @ $i @ (^[Y0 : $i]: ((irel @ sK13 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b0 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b1 @ Y1)))))))))) & ($true | (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ sK13 @ Y0) => (a0 @ Y0)))))))) = $true) | (~spl0_1 | ~spl0_6 | ~spl0_23 | ~spl0_62)),
% 16.83/2.62 inference(backward_demodulation,[],[f25356,f2359])).
% 16.83/2.62 thf(f2359,plain,(
% 16.83/2.62 ((!! @ $i @ (^[Y0 : $i]: ((irel @ sK13 @ Y0) => (f @ Y0)))) = $true) | ~spl0_23),
% 16.83/2.62 inference(avatar_component_clause,[],[f2358])).
% 16.83/2.62 thf(f25356,plain,(
% 16.83/2.62 ((((!! @ $i @ (^[Y0 : $i]: ((irel @ sK13 @ Y0) => (a0 @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ sK13 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a1 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b0 @ Y1))))))))))) & ((~ (!! @ $i @ (^[Y0 : $i]: ((irel @ sK13 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b0 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b1 @ Y1)))))))))) & ((!! @ $i @ (^[Y0 : $i]: ((irel @ sK13 @ Y0) => (f @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ sK13 @ Y0) => (a0 @ Y0)))))))) = $true) | (~spl0_1 | ~spl0_6 | ~spl0_62)),
% 16.83/2.62 inference(boolean_simplification,[],[f25355])).
% 16.83/2.62 thf(f25355,plain,(
% 16.83/2.62 ((((!! @ $i @ (^[Y0 : $i]: ((irel @ sK13 @ Y0) => (a0 @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ sK13 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a1 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b0 @ Y1))))))))))) & (($false | (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ sK13 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b0 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b1 @ Y1))))))))))) & ((!! @ $i @ (^[Y0 : $i]: ((irel @ sK13 @ Y0) => (f @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ sK13 @ Y0) => (a0 @ Y0)))))))) = $true) | (~spl0_1 | ~spl0_6 | ~spl0_62)),
% 16.83/2.62 inference(forward_demodulation,[],[f14677,f14435])).
% 16.83/2.62 thf(f14435,plain,(
% 16.83/2.62 ($false = (!! @ $i @ (^[Y0 : $i]: ((irel @ sK13 @ Y0) => (a1 @ Y0))))) | ~spl0_62),
% 16.83/2.62 inference(binary_proxy_clausification,[],[f14402])).
% 16.83/2.62 thf(f14677,plain,(
% 16.83/2.62 ((((!! @ $i @ (^[Y0 : $i]: ((irel @ sK13 @ Y0) => (a0 @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ sK13 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a1 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b0 @ Y1))))))))))) & (((!! @ $i @ (^[Y0 : $i]: ((irel @ sK13 @ Y0) => (a1 @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ sK13 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b0 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b1 @ Y1))))))))))) & ((!! @ $i @ (^[Y0 : $i]: ((irel @ sK13 @ Y0) => (f @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ sK13 @ Y0) => (a0 @ Y0)))))))) = $true) | (~spl0_1 | ~spl0_6)),
% 16.83/2.62 inference(boolean_simplification,[],[f14639])).
% 16.83/2.62 thf(f14639,plain,(
% 16.83/2.62 ($true = ($true => (((!! @ $i @ (^[Y0 : $i]: ((irel @ sK13 @ Y0) => (a0 @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ sK13 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a1 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b0 @ Y1))))))))))) & (((!! @ $i @ (^[Y0 : $i]: ((irel @ sK13 @ Y0) => (a1 @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ sK13 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b0 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b1 @ Y1))))))))))) & ((!! @ $i @ (^[Y0 : $i]: ((irel @ sK13 @ Y0) => (f @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ sK13 @ Y0) => (a0 @ Y0)))))))))) | (~spl0_1 | ~spl0_6)),
% 16.83/2.62 inference(superposition,[],[f637,f14433])).
% 16.83/2.62 thf(f14433,plain,(
% 16.83/2.62 ((irel @ sK2 @ sK13) = $true) | (~spl0_1 | ~spl0_6)),
% 16.83/2.62 inference(boolean_simplification,[],[f14409])).
% 16.83/2.62 thf(f14409,plain,(
% 16.83/2.62 ($true = ($true => (irel @ sK2 @ sK13))) | (~spl0_1 | ~spl0_6)),
% 16.83/2.62 inference(superposition,[],[f619,f14391])).
% 16.83/2.62 thf(f14391,plain,(
% 16.83/2.62 ((irel @ sK3 @ sK13) = $true) | (~spl0_1 | ~spl0_6)),
% 16.83/2.62 inference(binary_proxy_clausification,[],[f14346])).
% 16.83/2.62 thf(f14346,plain,(
% 16.83/2.62 (((irel @ sK3 @ sK13) => ((!! @ $i @ (^[Y0 : $i]: ((irel @ sK13 @ Y0) => (a1 @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ sK13 @ Y0) => (b0 @ Y0))))))) = $false) | (~spl0_1 | ~spl0_6)),
% 16.83/2.62 inference(beta_eta_normalization,[],[f14341])).
% 16.83/2.62 thf(f14341,plain,(
% 16.83/2.62 (((^[Y0 : $i]: ((irel @ sK3 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a1 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b0 @ Y1)))))))) @ sK13) = $false) | (~spl0_1 | ~spl0_6)),
% 16.83/2.62 inference(sigma_clausification,[],[f14301])).
% 16.83/2.62 thf(f14301,plain,(
% 16.83/2.62 ((!! @ $i @ (^[Y0 : $i]: ((irel @ sK3 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a1 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b0 @ Y1))))))))) = $false) | (~spl0_1 | ~spl0_6)),
% 16.83/2.62 inference(not_proxy_clausification,[],[f14222])).
% 16.83/2.62 thf(f14222,plain,(
% 16.83/2.62 ((~ (!! @ $i @ (^[Y0 : $i]: ((irel @ sK3 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a1 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b0 @ Y1)))))))))) = $true) | (~spl0_1 | ~spl0_6)),
% 16.83/2.62 inference(boolean_simplification,[],[f14220])).
% 16.83/2.62 thf(f14220,plain,(
% 16.83/2.62 (($false | (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ sK3 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a1 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b0 @ Y1))))))))))) = $true) | (~spl0_1 | ~spl0_6)),
% 16.83/2.62 inference(backward_demodulation,[],[f14070,f14209])).
% 16.83/2.62 thf(f14070,plain,(
% 16.83/2.62 ($true = ((!! @ $i @ (^[Y0 : $i]: ((irel @ sK3 @ Y0) => (a0 @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ sK3 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a1 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b0 @ Y1)))))))))))) | ~spl0_1),
% 16.83/2.62 inference(binary_proxy_clausification,[],[f653])).
% 16.83/2.62 thf(f653,plain,(
% 16.83/2.62 ((((!! @ $i @ (^[Y0 : $i]: ((irel @ sK3 @ Y0) => (a0 @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ sK3 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a1 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b0 @ Y1))))))))))) & (((!! @ $i @ (^[Y0 : $i]: ((irel @ sK3 @ Y0) => (a1 @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ sK3 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b0 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b1 @ Y1))))))))))) & ((!! @ $i @ (^[Y0 : $i]: ((irel @ sK3 @ Y0) => (f @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ sK3 @ Y0) => (a0 @ Y0)))))))) = $true) | ~spl0_1),
% 16.83/2.62 inference(boolean_simplification,[],[f651])).
% 16.83/2.62 thf(f651,plain,(
% 16.83/2.62 ($true = ($true => (((!! @ $i @ (^[Y0 : $i]: ((irel @ sK3 @ Y0) => (a0 @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ sK3 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a1 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b0 @ Y1))))))))))) & (((!! @ $i @ (^[Y0 : $i]: ((irel @ sK3 @ Y0) => (a1 @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ sK3 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b0 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b1 @ Y1))))))))))) & ((!! @ $i @ (^[Y0 : $i]: ((irel @ sK3 @ Y0) => (f @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ sK3 @ Y0) => (a0 @ Y0)))))))))) | ~spl0_1),
% 16.83/2.62 inference(superposition,[],[f637,f610])).
% 16.83/2.62 thf(f610,plain,(
% 16.83/2.62 ((irel @ sK2 @ sK3) = $true) | ~spl0_1),
% 16.83/2.62 inference(binary_proxy_clausification,[],[f608])).
% 16.83/2.62 thf(f608,plain,(
% 16.83/2.62 ($false = ((irel @ sK2 @ sK3) => (f @ sK3))) | ~spl0_1),
% 16.83/2.62 inference(beta_eta_normalization,[],[f607])).
% 16.83/2.62 thf(f607,plain,(
% 16.83/2.62 (((^[Y0 : $i]: ((irel @ sK2 @ Y0) => (f @ Y0))) @ sK3) = $false) | ~spl0_1),
% 16.83/2.62 inference(sigma_clausification,[],[f600])).
% 16.83/2.62 thf(f600,plain,(
% 16.83/2.62 ((!! @ $i @ (^[Y0 : $i]: ((irel @ sK2 @ Y0) => (f @ Y0)))) = $false) | ~spl0_1),
% 16.83/2.62 inference(boolean_simplification,[],[f599])).
% 16.83/2.62 thf(f599,plain,(
% 16.83/2.62 (((!! @ $i @ (^[Y0 : $i]: ((irel @ sK2 @ Y0) => (f @ Y0)))) | $false) = $false) | ~spl0_1),
% 16.83/2.62 inference(backward_demodulation,[],[f126,f597])).
% 16.83/2.62 thf(f597,plain,(
% 16.83/2.62 ((~ (!! @ $i @ (^[Y0 : $i]: ((irel @ sK2 @ Y0) => (((!! @ $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) => (b0 @ Y2)))) | (~ (!! @ $i @ (^[Y2 : $i]: ((irel @ Y1 @ Y2) => (b1 @ Y2))))))))))) & ((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (f @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a0 @ Y1)))))))))))) = $false) | ~spl0_1),
% 16.83/2.62 inference(binary_proxy_clausification,[],[f126])).
% 16.83/2.62 thf(f126,plain,(
% 16.83/2.62 ($false = ((!! @ $i @ (^[Y0 : $i]: ((irel @ sK2 @ Y0) => (f @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ sK2 @ Y0) => (((!! @ $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) => (b0 @ Y2)))) | (~ (!! @ $i @ (^[Y2 : $i]: ((irel @ Y1 @ Y2) => (b1 @ Y2))))))))))) & ((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (f @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a0 @ Y1)))))))))))))) | ~spl0_1),
% 16.83/2.62 inference(avatar_component_clause,[],[f125])).
% 16.83/2.62 thf(f619,plain,(
% 16.83/2.62 ( ! [X0 : $i] : (($true = ((irel @ sK3 @ X0) => (irel @ sK2 @ X0)))) ) | ~spl0_1),
% 16.83/2.62 inference(boolean_simplification,[],[f614])).
% 16.83/2.62 thf(f614,plain,(
% 16.83/2.62 ( ! [X0 : $i] : (($true = (($true & (irel @ sK3 @ X0)) => (irel @ sK2 @ X0)))) ) | ~spl0_1),
% 16.83/2.62 inference(superposition,[],[f108,f610])).
% 16.83/2.62 thf(f637,plain,(
% 16.83/2.62 ( ! [X1 : $i] : ((((irel @ sK2 @ X1) => (((!! @ $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) => (a1 @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b0 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b1 @ Y1))))))))))) & ((!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => (f @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => (a0 @ Y0))))))))) = $true)) ) | ~spl0_1),
% 16.83/2.62 inference(beta_eta_normalization,[],[f636])).
% 16.83/2.62 thf(f636,plain,(
% 16.83/2.62 ( ! [X1 : $i] : ((((^[Y0 : $i]: ((irel @ sK2 @ Y0) => (((!! @ $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) => (b0 @ Y2)))) | (~ (!! @ $i @ (^[Y2 : $i]: ((irel @ Y1 @ Y2) => (b1 @ Y2))))))))))) & ((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (f @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a0 @ Y1)))))))))) @ X1) = $true)) ) | ~spl0_1),
% 16.83/2.62 inference(pi_clausification,[],[f621])).
% 16.83/2.62 thf(f621,plain,(
% 16.83/2.62 ($true = (!! @ $i @ (^[Y0 : $i]: ((irel @ sK2 @ Y0) => (((!! @ $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) => (b0 @ Y2)))) | (~ (!! @ $i @ (^[Y2 : $i]: ((irel @ Y1 @ Y2) => (b1 @ Y2))))))))))) & ((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (f @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a0 @ Y1)))))))))))) | ~spl0_1),
% 16.83/2.62 inference(not_proxy_clausification,[],[f597])).
% 16.83/2.62 thf(f28938,plain,(
% 16.83/2.62 ($false = ((!! @ $i @ (^[Y0 : $i]: ((irel @ sK27 @ Y0) => (b0 @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ sK27 @ Y0) => (b1 @ Y0))))))) | ((irel @ sK13 @ sK27) = $false) | (~spl0_1 | ~spl0_6 | ~spl0_23 | ~spl0_62)),
% 16.83/2.62 inference(boolean_simplification,[],[f28934])).
% 16.83/2.62 thf(f28934,plain,(
% 16.83/2.62 ((irel @ sK13 @ sK27) = $false) | (($true => ((!! @ $i @ (^[Y0 : $i]: ((irel @ sK27 @ Y0) => (b0 @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ sK27 @ Y0) => (b1 @ Y0))))))) = $false) | (~spl0_1 | ~spl0_6 | ~spl0_23 | ~spl0_62)),
% 16.83/2.62 inference(superposition,[],[f27135,f1124])).
% 16.83/2.62 thf(f1124,plain,(
% 16.83/2.62 ( ! [X0 : $i,X1 : $i] : (((irel @ X0 @ X1) = $true) | ((irel @ X0 @ X1) = $false)) )),
% 16.83/2.62 inference(boolean_simplification,[],[f1109])).
% 16.83/2.62 thf(f1109,plain,(
% 16.83/2.62 ( ! [X0 : $i,X1 : $i] : (((irel @ X0 @ X1) = $true) | (($true & (irel @ X0 @ X1)) = $false)) )),
% 16.83/2.62 inference(superposition,[],[f109,f102])).
% 16.83/2.62 thf(f28888,plain,(
% 16.83/2.62 ~spl0_1 | ~spl0_6 | ~spl0_23 | ~spl0_62 | ~spl0_63),
% 16.83/2.62 inference(avatar_contradiction_clause,[],[f28887])).
% 16.83/2.62 thf(f28887,plain,(
% 16.83/2.62 $false | (~spl0_1 | ~spl0_6 | ~spl0_23 | ~spl0_62 | ~spl0_63)),
% 16.83/2.62 inference(trivial_inequality_removal,[],[f28886])).
% 16.83/2.62 thf(f28886,plain,(
% 16.83/2.62 ($true = $false) | (~spl0_1 | ~spl0_6 | ~spl0_23 | ~spl0_62 | ~spl0_63)),
% 16.83/2.62 inference(boolean_simplification,[],[f28885])).
% 16.83/2.62 thf(f28885,plain,(
% 16.83/2.62 ((~ $true) = $true) | (~spl0_1 | ~spl0_6 | ~spl0_23 | ~spl0_62 | ~spl0_63)),
% 16.83/2.62 inference(backward_demodulation,[],[f18499,f28855])).
% 16.83/2.62 thf(f28855,plain,(
% 16.83/2.62 ((irel @ sK13 @ sK28) = $true) | (~spl0_1 | ~spl0_6 | ~spl0_23 | ~spl0_62 | ~spl0_63)),
% 16.83/2.62 inference(boolean_simplification,[],[f28852])).
% 16.83/2.62 thf(f28852,plain,(
% 16.83/2.62 (($true => (irel @ sK13 @ sK28)) = $true) | (~spl0_1 | ~spl0_6 | ~spl0_23 | ~spl0_62 | ~spl0_63)),
% 16.83/2.62 inference(superposition,[],[f27260,f18479])).
% 16.83/2.62 thf(f18479,plain,(
% 16.83/2.62 ((irel @ sK27 @ sK28) = $true) | ~spl0_63),
% 16.83/2.62 inference(binary_proxy_clausification,[],[f18442])).
% 16.83/2.62 thf(f18442,plain,(
% 16.83/2.62 (((irel @ sK27 @ sK28) => (b0 @ sK28)) = $false) | ~spl0_63),
% 16.83/2.62 inference(beta_eta_normalization,[],[f18441])).
% 16.83/2.62 thf(f18441,plain,(
% 16.83/2.62 (((^[Y0 : $i]: ((irel @ sK27 @ Y0) => (b0 @ Y0))) @ sK28) = $false) | ~spl0_63),
% 16.83/2.62 inference(sigma_clausification,[],[f18407])).
% 16.83/2.62 thf(f18407,plain,(
% 16.83/2.62 ((!! @ $i @ (^[Y0 : $i]: ((irel @ sK27 @ Y0) => (b0 @ Y0)))) = $false) | ~spl0_63),
% 16.83/2.62 inference(boolean_simplification,[],[f18406])).
% 16.83/2.62 thf(f18406,plain,(
% 16.83/2.62 (((!! @ $i @ (^[Y0 : $i]: ((irel @ sK27 @ Y0) => (b0 @ Y0)))) | $false) = $false) | ~spl0_63),
% 16.83/2.62 inference(backward_demodulation,[],[f17170,f18404])).
% 16.83/2.62 thf(f18404,plain,(
% 16.83/2.62 ((~ (!! @ $i @ (^[Y0 : $i]: ((irel @ sK27 @ Y0) => (b1 @ Y0))))) = $false) | ~spl0_63),
% 16.83/2.62 inference(binary_proxy_clausification,[],[f17170])).
% 16.83/2.62 thf(f17170,plain,(
% 16.83/2.62 ($false = ((!! @ $i @ (^[Y0 : $i]: ((irel @ sK27 @ Y0) => (b0 @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ sK27 @ Y0) => (b1 @ Y0))))))) | ~spl0_63),
% 16.83/2.62 inference(avatar_component_clause,[],[f17169])).
% 16.83/2.62 thf(f27260,plain,(
% 16.83/2.62 ( ! [X0 : $i] : ((((irel @ sK27 @ X0) => (irel @ sK13 @ X0)) = $true)) ) | (~spl0_1 | ~spl0_6 | ~spl0_23 | ~spl0_62 | ~spl0_63)),
% 16.83/2.62 inference(boolean_simplification,[],[f27242])).
% 16.83/2.62 thf(f27242,plain,(
% 16.83/2.62 ( ! [X0 : $i] : (((($true & (irel @ sK27 @ X0)) => (irel @ sK13 @ X0)) = $true)) ) | (~spl0_1 | ~spl0_6 | ~spl0_23 | ~spl0_62 | ~spl0_63)),
% 16.83/2.62 inference(superposition,[],[f108,f27205])).
% 16.83/2.62 thf(f27205,plain,(
% 16.83/2.62 ((irel @ sK13 @ sK27) = $true) | (~spl0_1 | ~spl0_6 | ~spl0_23 | ~spl0_62 | ~spl0_63)),
% 16.83/2.62 inference(not_proxy_clausification,[],[f27150])).
% 16.83/2.62 thf(f27150,plain,(
% 16.83/2.62 ((~ (irel @ sK13 @ sK27)) = $false) | (~spl0_1 | ~spl0_6 | ~spl0_23 | ~spl0_62 | ~spl0_63)),
% 16.83/2.62 inference(boolean_simplification,[],[f27149])).
% 16.83/2.62 thf(f27149,plain,(
% 16.83/2.62 (((irel @ sK13 @ sK27) => $false) = $false) | (~spl0_1 | ~spl0_6 | ~spl0_23 | ~spl0_62 | ~spl0_63)),
% 16.83/2.62 inference(forward_demodulation,[],[f27148,f18404])).
% 16.83/2.62 thf(f27148,plain,(
% 16.83/2.62 (((irel @ sK13 @ sK27) => (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ sK27 @ Y0) => (b1 @ Y0)))))) = $false) | (~spl0_1 | ~spl0_6 | ~spl0_23 | ~spl0_62 | ~spl0_63)),
% 16.83/2.62 inference(boolean_simplification,[],[f27147])).
% 16.83/2.62 thf(f27147,plain,(
% 16.83/2.62 (((irel @ sK13 @ sK27) => ($false | (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ sK27 @ Y0) => (b1 @ Y0))))))) = $false) | (~spl0_1 | ~spl0_6 | ~spl0_23 | ~spl0_62 | ~spl0_63)),
% 16.83/2.62 inference(forward_demodulation,[],[f27135,f18407])).
% 16.83/2.62 thf(f18499,plain,(
% 16.83/2.62 ((~ (irel @ sK13 @ sK28)) = $true) | (~spl0_62 | ~spl0_63)),
% 16.83/2.62 inference(boolean_simplification,[],[f18491])).
% 16.83/2.62 thf(f18491,plain,(
% 16.83/2.62 ($true = ((irel @ sK13 @ sK28) => $false)) | (~spl0_62 | ~spl0_63)),
% 16.83/2.62 inference(superposition,[],[f14687,f18478])).
% 16.83/2.62 thf(f18478,plain,(
% 16.83/2.62 ((b0 @ sK28) = $false) | ~spl0_63),
% 16.83/2.62 inference(binary_proxy_clausification,[],[f18442])).
% 16.83/2.62 thf(f14687,plain,(
% 16.83/2.62 ( ! [X1 : $i] : ((((irel @ sK13 @ X1) => (b0 @ X1)) = $true)) ) | ~spl0_62),
% 16.83/2.62 inference(beta_eta_normalization,[],[f14686])).
% 16.83/2.62 thf(f14686,plain,(
% 16.83/2.62 ( ! [X1 : $i] : ((((^[Y0 : $i]: ((irel @ sK13 @ Y0) => (b0 @ Y0))) @ X1) = $true)) ) | ~spl0_62),
% 16.83/2.62 inference(pi_clausification,[],[f14634])).
% 16.83/2.62 thf(f14634,plain,(
% 16.83/2.62 ((!! @ $i @ (^[Y0 : $i]: ((irel @ sK13 @ Y0) => (b0 @ Y0)))) = $true) | ~spl0_62),
% 16.83/2.62 inference(not_proxy_clausification,[],[f14439])).
% 16.83/2.62 thf(f14439,plain,(
% 16.83/2.62 ($false = (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ sK13 @ Y0) => (b0 @ Y0)))))) | ~spl0_62),
% 16.83/2.62 inference(boolean_simplification,[],[f14436])).
% 16.83/2.62 thf(f14436,plain,(
% 16.83/2.62 (($false | (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ sK13 @ Y0) => (b0 @ Y0)))))) = $false) | ~spl0_62),
% 16.83/2.62 inference(backward_demodulation,[],[f14402,f14435])).
% 16.83/2.62 thf(f25354,plain,(
% 16.83/2.62 ~spl0_43 | ~spl0_62 | ~spl0_63),
% 16.83/2.62 inference(avatar_contradiction_clause,[],[f25353])).
% 16.83/2.62 thf(f25353,plain,(
% 16.83/2.62 $false | (~spl0_43 | ~spl0_62 | ~spl0_63)),
% 16.83/2.62 inference(trivial_inequality_removal,[],[f25352])).
% 16.83/2.62 thf(f25352,plain,(
% 16.83/2.62 ($true = $false) | (~spl0_43 | ~spl0_62 | ~spl0_63)),
% 16.83/2.62 inference(boolean_simplification,[],[f25351])).
% 16.83/2.62 thf(f25351,plain,(
% 16.83/2.62 ((~ $true) = $true) | (~spl0_43 | ~spl0_62 | ~spl0_63)),
% 16.83/2.62 inference(backward_demodulation,[],[f18499,f25328])).
% 16.83/2.62 thf(f25328,plain,(
% 16.83/2.62 ((irel @ sK13 @ sK28) = $true) | (~spl0_43 | ~spl0_62 | ~spl0_63)),
% 16.83/2.62 inference(boolean_simplification,[],[f25319])).
% 16.83/2.62 thf(f25319,plain,(
% 16.83/2.62 (($true => (irel @ sK13 @ sK28)) = $true) | (~spl0_43 | ~spl0_62 | ~spl0_63)),
% 16.83/2.62 inference(superposition,[],[f17201,f18479])).
% 16.83/2.62 thf(f17201,plain,(
% 16.83/2.62 ( ! [X0 : $i] : ((((irel @ sK27 @ X0) => (irel @ sK13 @ X0)) = $true)) ) | (~spl0_43 | ~spl0_62)),
% 16.83/2.62 inference(boolean_simplification,[],[f17191])).
% 16.83/2.62 thf(f17191,plain,(
% 16.83/2.62 ( ! [X0 : $i] : (((($true & (irel @ sK27 @ X0)) => (irel @ sK13 @ X0)) = $true)) ) | (~spl0_43 | ~spl0_62)),
% 16.83/2.62 inference(superposition,[],[f108,f17160])).
% 16.83/2.62 thf(f17160,plain,(
% 16.83/2.62 ((irel @ sK13 @ sK27) = $true) | (~spl0_43 | ~spl0_62)),
% 16.83/2.62 inference(binary_proxy_clausification,[],[f17140])).
% 16.83/2.62 thf(f17140,plain,(
% 16.83/2.62 (((irel @ sK13 @ sK27) => ((!! @ $i @ (^[Y0 : $i]: ((irel @ sK27 @ Y0) => (b0 @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ sK27 @ Y0) => (b1 @ Y0))))))) = $false) | (~spl0_43 | ~spl0_62)),
% 16.83/2.62 inference(beta_eta_normalization,[],[f17135])).
% 16.83/2.62 thf(f17135,plain,(
% 16.83/2.62 (((^[Y0 : $i]: ((irel @ sK13 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b0 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b1 @ Y1)))))))) @ sK27) = $false) | (~spl0_43 | ~spl0_62)),
% 16.83/2.62 inference(sigma_clausification,[],[f17091])).
% 16.83/2.62 thf(f17091,plain,(
% 16.83/2.62 ((!! @ $i @ (^[Y0 : $i]: ((irel @ sK13 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b0 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b1 @ Y1))))))))) = $false) | (~spl0_43 | ~spl0_62)),
% 16.83/2.62 inference(not_proxy_clausification,[],[f17082])).
% 16.83/2.62 thf(f17082,plain,(
% 16.83/2.62 ($true = (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ sK13 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b0 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b1 @ Y1))))))))))) | (~spl0_43 | ~spl0_62)),
% 16.83/2.62 inference(boolean_simplification,[],[f17081])).
% 16.83/2.62 thf(f17081,plain,(
% 16.83/2.62 (($true & (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ sK13 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b0 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b1 @ Y1))))))))))) = $true) | (~spl0_43 | ~spl0_62)),
% 16.83/2.62 inference(backward_demodulation,[],[f14438,f17080])).
% 16.83/2.62 thf(f17080,plain,(
% 16.83/2.62 ((~ (!! @ $i @ (^[Y0 : $i]: ((irel @ sK13 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a1 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b0 @ Y1)))))))))) = $true) | (~spl0_43 | ~spl0_62)),
% 16.83/2.62 inference(binary_proxy_clausification,[],[f14438])).
% 16.83/2.62 thf(f14438,plain,(
% 16.83/2.62 (((~ (!! @ $i @ (^[Y0 : $i]: ((irel @ sK13 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a1 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b0 @ Y1)))))))))) & (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ sK13 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b0 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b1 @ Y1))))))))))) = $true) | (~spl0_43 | ~spl0_62)),
% 16.83/2.62 inference(boolean_simplification,[],[f14437])).
% 16.83/2.62 thf(f14437,plain,(
% 16.83/2.62 (((~ (!! @ $i @ (^[Y0 : $i]: ((irel @ sK13 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a1 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b0 @ Y1)))))))))) & ($false | (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ sK13 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b0 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b1 @ Y1)))))))))))) = $true) | (~spl0_43 | ~spl0_62)),
% 16.83/2.62 inference(backward_demodulation,[],[f5840,f14435])).
% 16.83/2.62 thf(f5840,plain,(
% 16.83/2.62 (((~ (!! @ $i @ (^[Y0 : $i]: ((irel @ sK13 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a1 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b0 @ Y1)))))))))) & ((!! @ $i @ (^[Y0 : $i]: ((irel @ sK13 @ Y0) => (a1 @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ sK13 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b0 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b1 @ Y1)))))))))))) = $true) | ~spl0_43),
% 16.83/2.62 inference(avatar_component_clause,[],[f5839])).
% 16.83/2.62 thf(f5839,plain,(
% 16.83/2.62 spl0_43 <=> (((~ (!! @ $i @ (^[Y0 : $i]: ((irel @ sK13 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a1 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b0 @ Y1)))))))))) & ((!! @ $i @ (^[Y0 : $i]: ((irel @ sK13 @ Y0) => (a1 @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ sK13 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b0 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b1 @ Y1)))))))))))) = $true)),
% 16.83/2.62 introduced(avatar_definition,[new_symbols(naming,[spl0_43])])).
% 16.83/2.62 thf(f17182,plain,(
% 16.83/2.62 spl0_63 | ~spl0_43 | ~spl0_62),
% 16.83/2.62 inference(avatar_split_clause,[],[f17159,f14401,f5839,f17169])).
% 16.83/2.62 thf(f17159,plain,(
% 16.83/2.62 ($false = ((!! @ $i @ (^[Y0 : $i]: ((irel @ sK27 @ Y0) => (b0 @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ sK27 @ Y0) => (b1 @ Y0))))))) | (~spl0_43 | ~spl0_62)),
% 16.83/2.62 inference(binary_proxy_clausification,[],[f17140])).
% 16.83/2.62 thf(f14407,plain,(
% 16.83/2.62 spl0_62 | ~spl0_1 | ~spl0_6),
% 16.83/2.62 inference(avatar_split_clause,[],[f14406,f467,f125,f14401])).
% 16.83/2.62 thf(f14406,plain,(
% 16.83/2.62 (((!! @ $i @ (^[Y0 : $i]: ((irel @ sK13 @ Y0) => (a1 @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ sK13 @ Y0) => (b0 @ Y0)))))) = $false) | (~spl0_1 | ~spl0_6)),
% 16.83/2.62 inference(boolean_simplification,[],[f14405])).
% 16.83/2.62 thf(f14405,plain,(
% 16.83/2.62 (($true => ((!! @ $i @ (^[Y0 : $i]: ((irel @ sK13 @ Y0) => (a1 @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ sK13 @ Y0) => (b0 @ Y0))))))) = $false) | (~spl0_1 | ~spl0_6)),
% 16.83/2.62 inference(backward_demodulation,[],[f14346,f14391])).
% 16.83/2.62 thf(f14350,plain,(
% 16.83/2.62 ~spl0_1 | ~spl0_6 | ~spl0_42),
% 16.83/2.62 inference(avatar_contradiction_clause,[],[f14349])).
% 16.83/2.62 thf(f14349,plain,(
% 16.83/2.62 $false | (~spl0_1 | ~spl0_6 | ~spl0_42)),
% 16.83/2.62 inference(trivial_inequality_removal,[],[f14348])).
% 16.83/2.62 thf(f14348,plain,(
% 16.83/2.62 ($true = $false) | (~spl0_1 | ~spl0_6 | ~spl0_42)),
% 16.83/2.62 inference(boolean_simplification,[],[f14347])).
% 16.83/2.62 thf(f14347,plain,(
% 16.83/2.62 ($false = ($false => ((!! @ $i @ (^[Y0 : $i]: ((irel @ sK13 @ Y0) => (a1 @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ sK13 @ Y0) => (b0 @ Y0)))))))) | (~spl0_1 | ~spl0_6 | ~spl0_42)),
% 16.83/2.62 inference(forward_demodulation,[],[f14346,f7204])).
% 16.83/2.62 thf(f7204,plain,(
% 16.83/2.62 ((irel @ sK3 @ sK13) = $false) | (~spl0_1 | ~spl0_42)),
% 16.83/2.62 inference(trivial_inequality_removal,[],[f7203])).
% 16.83/2.62 thf(f7203,plain,(
% 16.83/2.62 ((irel @ sK3 @ sK13) = $false) | ($true = $false) | (~spl0_1 | ~spl0_42)),
% 16.83/2.62 inference(boolean_simplification,[],[f7200])).
% 16.83/2.62 thf(f7200,plain,(
% 16.83/2.62 ((irel @ sK3 @ sK13) = $false) | ((~ $true) = $true) | (~spl0_1 | ~spl0_42)),
% 16.83/2.62 inference(superposition,[],[f5872,f1124])).
% 16.83/2.62 thf(f5872,plain,(
% 16.83/2.62 ($true = (~ (irel @ sK3 @ sK13))) | (~spl0_1 | ~spl0_42)),
% 16.83/2.62 inference(boolean_simplification,[],[f5846])).
% 16.83/2.62 thf(f5846,plain,(
% 16.83/2.62 ($true = ((irel @ sK3 @ sK13) => $false)) | (~spl0_1 | ~spl0_42)),
% 16.83/2.62 inference(superposition,[],[f619,f5837])).
% 16.83/2.62 thf(f5837,plain,(
% 16.83/2.62 ((irel @ sK2 @ sK13) = $false) | ~spl0_42),
% 16.83/2.62 inference(avatar_component_clause,[],[f5836])).
% 16.83/2.62 thf(f5836,plain,(
% 16.83/2.62 spl0_42 <=> ((irel @ sK2 @ sK13) = $false)),
% 16.83/2.62 introduced(avatar_definition,[new_symbols(naming,[spl0_42])])).
% 16.83/2.62 thf(f14157,plain,(
% 16.83/2.62 spl0_5 | spl0_6 | ~spl0_1),
% 16.83/2.62 inference(avatar_split_clause,[],[f14154,f125,f467,f464])).
% 16.83/2.62 thf(f464,plain,(
% 16.83/2.62 spl0_5 <=> ($true = (!! @ $i @ (^[Y0 : $i]: ((irel @ sK3 @ Y0) => (f @ Y0)))))),
% 16.83/2.62 introduced(avatar_definition,[new_symbols(naming,[spl0_5])])).
% 16.83/2.62 thf(f14154,plain,(
% 16.83/2.62 ((~ (!! @ $i @ (^[Y0 : $i]: ((irel @ sK3 @ Y0) => (a0 @ Y0))))) = $true) | ($true = (!! @ $i @ (^[Y0 : $i]: ((irel @ sK3 @ Y0) => (f @ Y0))))) | ~spl0_1),
% 16.83/2.62 inference(binary_proxy_clausification,[],[f14083])).
% 16.83/2.62 thf(f14083,plain,(
% 16.83/2.62 (((!! @ $i @ (^[Y0 : $i]: ((irel @ sK3 @ Y0) => (f @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ sK3 @ Y0) => (a0 @ Y0)))))) = $true) | ~spl0_1),
% 16.83/2.62 inference(binary_proxy_clausification,[],[f14074])).
% 16.83/2.62 thf(f14074,plain,(
% 16.83/2.62 ((((!! @ $i @ (^[Y0 : $i]: ((irel @ sK3 @ Y0) => (a1 @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ sK3 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b0 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b1 @ Y1))))))))))) & ((!! @ $i @ (^[Y0 : $i]: ((irel @ sK3 @ Y0) => (f @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ sK3 @ Y0) => (a0 @ Y0))))))) = $true) | ~spl0_1),
% 16.83/2.62 inference(boolean_simplification,[],[f14073])).
% 16.83/2.62 thf(f14073,plain,(
% 16.83/2.62 (($true & (((!! @ $i @ (^[Y0 : $i]: ((irel @ sK3 @ Y0) => (a1 @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ sK3 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b0 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b1 @ Y1))))))))))) & ((!! @ $i @ (^[Y0 : $i]: ((irel @ sK3 @ Y0) => (f @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ sK3 @ Y0) => (a0 @ Y0)))))))) = $true) | ~spl0_1),
% 16.83/2.62 inference(backward_demodulation,[],[f653,f14070])).
% 16.83/2.62 thf(f5842,plain,(
% 16.83/2.62 spl0_42 | spl0_43 | ~spl0_1 | ~spl0_24),
% 16.83/2.62 inference(avatar_split_clause,[],[f5833,f2361,f125,f5839,f5836])).
% 16.83/2.62 thf(f2361,plain,(
% 16.83/2.62 spl0_24 <=> ((~ (!! @ $i @ (^[Y0 : $i]: ((irel @ sK13 @ Y0) => (a0 @ Y0))))) = $true)),
% 16.83/2.62 introduced(avatar_definition,[new_symbols(naming,[spl0_24])])).
% 16.83/2.62 thf(f5833,plain,(
% 16.83/2.62 ((irel @ sK2 @ sK13) = $false) | (((~ (!! @ $i @ (^[Y0 : $i]: ((irel @ sK13 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a1 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b0 @ Y1)))))))))) & ((!! @ $i @ (^[Y0 : $i]: ((irel @ sK13 @ Y0) => (a1 @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ sK13 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b0 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b1 @ Y1)))))))))))) = $true) | (~spl0_1 | ~spl0_24)),
% 16.83/2.62 inference(boolean_simplification,[],[f5831])).
% 16.83/2.62 thf(f5831,plain,(
% 16.83/2.62 (($true => ((~ (!! @ $i @ (^[Y0 : $i]: ((irel @ sK13 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a1 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b0 @ Y1)))))))))) & ((!! @ $i @ (^[Y0 : $i]: ((irel @ sK13 @ Y0) => (a1 @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ sK13 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b0 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b1 @ Y1))))))))))))) = $true) | ((irel @ sK2 @ sK13) = $false) | (~spl0_1 | ~spl0_24)),
% 16.83/2.62 inference(superposition,[],[f2589,f1124])).
% 16.83/2.62 thf(f2589,plain,(
% 16.83/2.62 (((irel @ sK2 @ sK13) => ((~ (!! @ $i @ (^[Y0 : $i]: ((irel @ sK13 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a1 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b0 @ Y1)))))))))) & ((!! @ $i @ (^[Y0 : $i]: ((irel @ sK13 @ Y0) => (a1 @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ sK13 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b0 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b1 @ Y1))))))))))))) = $true) | (~spl0_1 | ~spl0_24)),
% 16.83/2.62 inference(boolean_simplification,[],[f2588])).
% 16.83/2.62 thf(f2588,plain,(
% 16.83/2.62 (((irel @ sK2 @ sK13) => (($false | (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ sK13 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a1 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b0 @ Y1))))))))))) & ((!! @ $i @ (^[Y0 : $i]: ((irel @ sK13 @ Y0) => (a1 @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ sK13 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b0 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b1 @ Y1))))))))))))) = $true) | (~spl0_1 | ~spl0_24)),
% 16.83/2.62 inference(boolean_simplification,[],[f2587])).
% 16.83/2.62 thf(f2587,plain,(
% 16.83/2.62 ($true = ((irel @ sK2 @ sK13) => (($false | (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ sK13 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a1 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b0 @ Y1))))))))))) & (((!! @ $i @ (^[Y0 : $i]: ((irel @ sK13 @ Y0) => (a1 @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ sK13 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b0 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b1 @ Y1))))))))))) & $true)))) | (~spl0_1 | ~spl0_24)),
% 16.83/2.62 inference(boolean_simplification,[],[f2586])).
% 16.83/2.62 thf(f2586,plain,(
% 16.83/2.62 (((irel @ sK2 @ sK13) => (($false | (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ sK13 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a1 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b0 @ Y1))))))))))) & (((!! @ $i @ (^[Y0 : $i]: ((irel @ sK13 @ Y0) => (a1 @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ sK13 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b0 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b1 @ Y1))))))))))) & ((!! @ $i @ (^[Y0 : $i]: ((irel @ sK13 @ Y0) => (f @ Y0)))) | $true)))) = $true) | (~spl0_1 | ~spl0_24)),
% 16.83/2.62 inference(boolean_simplification,[],[f2585])).
% 16.83/2.62 thf(f2585,plain,(
% 16.83/2.62 ($true = ((irel @ sK2 @ sK13) => (($false | (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ sK13 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a1 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b0 @ Y1))))))))))) & (((!! @ $i @ (^[Y0 : $i]: ((irel @ sK13 @ Y0) => (a1 @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ sK13 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b0 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b1 @ Y1))))))))))) & ((!! @ $i @ (^[Y0 : $i]: ((irel @ sK13 @ Y0) => (f @ Y0)))) | (~ $false)))))) | (~spl0_1 | ~spl0_24)),
% 16.83/2.62 inference(superposition,[],[f637,f2565])).
% 16.83/2.62 thf(f2565,plain,(
% 16.83/2.62 ((!! @ $i @ (^[Y0 : $i]: ((irel @ sK13 @ Y0) => (a0 @ Y0)))) = $false) | ~spl0_24),
% 16.83/2.62 inference(not_proxy_clausification,[],[f2362])).
% 16.83/2.62 thf(f2362,plain,(
% 16.83/2.62 ((~ (!! @ $i @ (^[Y0 : $i]: ((irel @ sK13 @ Y0) => (a0 @ Y0))))) = $true) | ~spl0_24),
% 16.83/2.62 inference(avatar_component_clause,[],[f2361])).
% 16.83/2.62 thf(f5254,plain,(
% 16.83/2.62 ~spl0_1 | ~spl0_5),
% 16.83/2.62 inference(avatar_contradiction_clause,[],[f5253])).
% 16.83/2.62 thf(f5253,plain,(
% 16.83/2.62 $false | (~spl0_1 | ~spl0_5)),
% 16.83/2.62 inference(trivial_inequality_removal,[],[f5252])).
% 16.83/2.62 thf(f5252,plain,(
% 16.83/2.62 ($true = $false) | (~spl0_1 | ~spl0_5)),
% 16.83/2.62 inference(boolean_simplification,[],[f5251])).
% 16.83/2.62 thf(f5251,plain,(
% 16.83/2.62 ((~ $true) = $true) | (~spl0_1 | ~spl0_5)),
% 16.83/2.62 inference(forward_demodulation,[],[f5237,f102])).
% 16.83/2.62 thf(f5237,plain,(
% 16.83/2.62 ($true = (~ (irel @ sK3 @ sK3))) | (~spl0_1 | ~spl0_5)),
% 16.83/2.62 inference(boolean_simplification,[],[f5222])).
% 16.83/2.62 thf(f5222,plain,(
% 16.83/2.62 (((irel @ sK3 @ sK3) => $false) = $true) | (~spl0_1 | ~spl0_5)),
% 16.83/2.62 inference(superposition,[],[f5184,f612])).
% 16.83/2.62 thf(f612,plain,(
% 16.83/2.62 ((f @ sK3) = $false) | ~spl0_1),
% 16.83/2.62 inference(boolean_simplification,[],[f611])).
% 16.83/2.62 thf(f611,plain,(
% 16.83/2.62 (($true => (f @ sK3)) = $false) | ~spl0_1),
% 16.83/2.62 inference(backward_demodulation,[],[f608,f610])).
% 16.83/2.62 thf(f5184,plain,(
% 16.83/2.62 ( ! [X1 : $i] : (($true = ((irel @ sK3 @ X1) => (f @ X1)))) ) | ~spl0_5),
% 16.83/2.62 inference(beta_eta_normalization,[],[f5180])).
% 16.83/2.62 thf(f5180,plain,(
% 16.83/2.62 ( ! [X1 : $i] : ((((^[Y0 : $i]: ((irel @ sK3 @ Y0) => (f @ Y0))) @ X1) = $true)) ) | ~spl0_5),
% 16.83/2.62 inference(pi_clausification,[],[f465])).
% 16.83/2.62 thf(f465,plain,(
% 16.83/2.62 ($true = (!! @ $i @ (^[Y0 : $i]: ((irel @ sK3 @ Y0) => (f @ Y0))))) | ~spl0_5),
% 16.83/2.62 inference(avatar_component_clause,[],[f464])).
% 16.83/2.62 thf(f2363,plain,(
% 16.83/2.62 spl0_23 | spl0_24 | ~spl0_1 | ~spl0_6),
% 16.83/2.62 inference(avatar_split_clause,[],[f2348,f467,f125,f2361,f2358])).
% 16.83/2.62 thf(f2348,plain,(
% 16.83/2.62 ((!! @ $i @ (^[Y0 : $i]: ((irel @ sK13 @ Y0) => (f @ Y0)))) = $true) | ((~ (!! @ $i @ (^[Y0 : $i]: ((irel @ sK13 @ Y0) => (a0 @ Y0))))) = $true) | (~spl0_1 | ~spl0_6)),
% 16.83/2.62 inference(binary_proxy_clausification,[],[f2344])).
% 16.83/2.62 thf(f2344,plain,(
% 16.83/2.62 (((!! @ $i @ (^[Y0 : $i]: ((irel @ sK13 @ Y0) => (f @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ sK13 @ Y0) => (a0 @ Y0)))))) = $true) | (~spl0_1 | ~spl0_6)),
% 16.83/2.62 inference(boolean_simplification,[],[f2343])).
% 16.83/2.62 thf(f2343,plain,(
% 16.83/2.62 (($true & ((!! @ $i @ (^[Y0 : $i]: ((irel @ sK13 @ Y0) => (f @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ sK13 @ Y0) => (a0 @ Y0))))))) = $true) | (~spl0_1 | ~spl0_6)),
% 16.83/2.62 inference(backward_demodulation,[],[f2330,f2342])).
% 16.83/2.62 thf(f2342,plain,(
% 16.83/2.62 ($true = (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ sK13 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b0 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b1 @ Y1))))))))))) | (~spl0_1 | ~spl0_6)),
% 16.83/2.62 inference(binary_proxy_clausification,[],[f2330])).
% 16.83/2.62 thf(f2330,plain,(
% 16.83/2.62 ($true = ((~ (!! @ $i @ (^[Y0 : $i]: ((irel @ sK13 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b0 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b1 @ Y1)))))))))) & ((!! @ $i @ (^[Y0 : $i]: ((irel @ sK13 @ Y0) => (f @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ sK13 @ Y0) => (a0 @ Y0)))))))) | (~spl0_1 | ~spl0_6)),
% 16.83/2.62 inference(boolean_simplification,[],[f2329])).
% 16.83/2.62 thf(f2329,plain,(
% 16.83/2.62 (($true & ((~ (!! @ $i @ (^[Y0 : $i]: ((irel @ sK13 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b0 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b1 @ Y1)))))))))) & ((!! @ $i @ (^[Y0 : $i]: ((irel @ sK13 @ Y0) => (f @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ sK13 @ Y0) => (a0 @ Y0)))))))) = $true) | (~spl0_1 | ~spl0_6)),
% 16.83/2.62 inference(backward_demodulation,[],[f1621,f2328])).
% 16.83/2.62 thf(f2328,plain,(
% 16.83/2.62 (((!! @ $i @ (^[Y0 : $i]: ((irel @ sK13 @ Y0) => (a0 @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ sK13 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a1 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b0 @ Y1))))))))))) = $true) | (~spl0_1 | ~spl0_6)),
% 16.83/2.62 inference(binary_proxy_clausification,[],[f1621])).
% 16.83/2.62 thf(f1621,plain,(
% 16.83/2.62 ((((!! @ $i @ (^[Y0 : $i]: ((irel @ sK13 @ Y0) => (a0 @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ sK13 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a1 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b0 @ Y1))))))))))) & ((~ (!! @ $i @ (^[Y0 : $i]: ((irel @ sK13 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b0 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b1 @ Y1)))))))))) & ((!! @ $i @ (^[Y0 : $i]: ((irel @ sK13 @ Y0) => (f @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ sK13 @ Y0) => (a0 @ Y0)))))))) = $true) | (~spl0_1 | ~spl0_6)),
% 16.83/2.62 inference(boolean_simplification,[],[f1620])).
% 16.83/2.62 thf(f1620,plain,(
% 16.83/2.62 ($true = ($true => (((!! @ $i @ (^[Y0 : $i]: ((irel @ sK13 @ Y0) => (a0 @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ sK13 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a1 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b0 @ Y1))))))))))) & ((~ (!! @ $i @ (^[Y0 : $i]: ((irel @ sK13 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b0 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b1 @ Y1)))))))))) & ((!! @ $i @ (^[Y0 : $i]: ((irel @ sK13 @ Y0) => (f @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ sK13 @ Y0) => (a0 @ Y0)))))))))) | (~spl0_1 | ~spl0_6)),
% 16.83/2.62 inference(forward_demodulation,[],[f1619,f1591])).
% 16.83/2.62 thf(f1591,plain,(
% 16.83/2.62 ((irel @ sK2 @ sK13) = $true) | (~spl0_1 | ~spl0_6)),
% 16.83/2.62 inference(boolean_simplification,[],[f1579])).
% 16.83/2.62 thf(f1579,plain,(
% 16.83/2.62 ($true = ($true => (irel @ sK2 @ sK13))) | (~spl0_1 | ~spl0_6)),
% 16.83/2.62 inference(superposition,[],[f619,f1575])).
% 16.83/2.62 thf(f1575,plain,(
% 16.83/2.62 ((irel @ sK3 @ sK13) = $true) | (~spl0_1 | ~spl0_6)),
% 16.83/2.62 inference(binary_proxy_clausification,[],[f1556])).
% 16.83/2.62 thf(f1556,plain,(
% 16.83/2.62 (((irel @ sK3 @ sK13) => ((!! @ $i @ (^[Y0 : $i]: ((irel @ sK13 @ Y0) => (a1 @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ sK13 @ Y0) => (b0 @ Y0))))))) = $false) | (~spl0_1 | ~spl0_6)),
% 16.83/2.62 inference(beta_eta_normalization,[],[f1551])).
% 16.83/2.62 thf(f1551,plain,(
% 16.83/2.62 (((^[Y0 : $i]: ((irel @ sK3 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a1 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b0 @ Y1)))))))) @ sK13) = $false) | (~spl0_1 | ~spl0_6)),
% 16.83/2.62 inference(sigma_clausification,[],[f1536])).
% 16.83/2.62 thf(f1536,plain,(
% 16.83/2.62 ((!! @ $i @ (^[Y0 : $i]: ((irel @ sK3 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a1 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b0 @ Y1))))))))) = $false) | (~spl0_1 | ~spl0_6)),
% 16.83/2.62 inference(not_proxy_clausification,[],[f1533])).
% 16.83/2.62 thf(f1533,plain,(
% 16.83/2.62 ((~ (!! @ $i @ (^[Y0 : $i]: ((irel @ sK3 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a1 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b0 @ Y1)))))))))) = $true) | (~spl0_1 | ~spl0_6)),
% 16.83/2.62 inference(boolean_simplification,[],[f1532])).
% 16.83/2.62 thf(f1532,plain,(
% 16.83/2.62 (((~ (!! @ $i @ (^[Y0 : $i]: ((irel @ sK3 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a1 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b0 @ Y1)))))))))) & $true) = $true) | (~spl0_1 | ~spl0_6)),
% 16.83/2.62 inference(backward_demodulation,[],[f660,f1530])).
% 16.83/2.62 thf(f1530,plain,(
% 16.83/2.62 (((!! @ $i @ (^[Y0 : $i]: ((irel @ sK3 @ Y0) => (a1 @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ sK3 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b0 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b1 @ Y1))))))))))) = $true) | (~spl0_1 | ~spl0_6)),
% 16.83/2.62 inference(binary_proxy_clausification,[],[f660])).
% 16.83/2.62 thf(f660,plain,(
% 16.83/2.62 (((~ (!! @ $i @ (^[Y0 : $i]: ((irel @ sK3 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a1 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b0 @ Y1)))))))))) & ((!! @ $i @ (^[Y0 : $i]: ((irel @ sK3 @ Y0) => (a1 @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ sK3 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b0 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b1 @ Y1)))))))))))) = $true) | (~spl0_1 | ~spl0_6)),
% 16.83/2.62 inference(boolean_simplification,[],[f659])).
% 16.83/2.62 thf(f659,plain,(
% 16.83/2.62 ($true = ($true => ((~ (!! @ $i @ (^[Y0 : $i]: ((irel @ sK3 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a1 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b0 @ Y1)))))))))) & ((!! @ $i @ (^[Y0 : $i]: ((irel @ sK3 @ Y0) => (a1 @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ sK3 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b0 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b1 @ Y1)))))))))))))) | (~spl0_1 | ~spl0_6)),
% 16.83/2.62 inference(forward_demodulation,[],[f658,f610])).
% 16.83/2.62 thf(f658,plain,(
% 16.83/2.62 (((irel @ sK2 @ sK3) => ((~ (!! @ $i @ (^[Y0 : $i]: ((irel @ sK3 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a1 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b0 @ Y1)))))))))) & ((!! @ $i @ (^[Y0 : $i]: ((irel @ sK3 @ Y0) => (a1 @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ sK3 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b0 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b1 @ Y1))))))))))))) = $true) | (~spl0_1 | ~spl0_6)),
% 16.83/2.62 inference(boolean_simplification,[],[f657])).
% 16.83/2.62 thf(f657,plain,(
% 16.83/2.62 (((irel @ sK2 @ sK3) => (($false | (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ sK3 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a1 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b0 @ Y1))))))))))) & ((!! @ $i @ (^[Y0 : $i]: ((irel @ sK3 @ Y0) => (a1 @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ sK3 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b0 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b1 @ Y1))))))))))))) = $true) | (~spl0_1 | ~spl0_6)),
% 16.83/2.62 inference(boolean_simplification,[],[f656])).
% 16.83/2.62 thf(f656,plain,(
% 16.83/2.62 (((irel @ sK2 @ sK3) => (($false | (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ sK3 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a1 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b0 @ Y1))))))))))) & (((!! @ $i @ (^[Y0 : $i]: ((irel @ sK3 @ Y0) => (a1 @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ sK3 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b0 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b1 @ Y1))))))))))) & $true))) = $true) | (~spl0_1 | ~spl0_6)),
% 16.83/2.62 inference(boolean_simplification,[],[f655])).
% 16.83/2.62 thf(f655,plain,(
% 16.83/2.62 ($true = ((irel @ sK2 @ sK3) => (($false | (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ sK3 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a1 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b0 @ Y1))))))))))) & (((!! @ $i @ (^[Y0 : $i]: ((irel @ sK3 @ Y0) => (a1 @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ sK3 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b0 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b1 @ Y1))))))))))) & ((!! @ $i @ (^[Y0 : $i]: ((irel @ sK3 @ Y0) => (f @ Y0)))) | $true))))) | (~spl0_1 | ~spl0_6)),
% 16.83/2.62 inference(boolean_simplification,[],[f649])).
% 16.83/2.62 thf(f649,plain,(
% 16.83/2.62 (((irel @ sK2 @ sK3) => (($false | (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ sK3 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a1 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b0 @ Y1))))))))))) & (((!! @ $i @ (^[Y0 : $i]: ((irel @ sK3 @ Y0) => (a1 @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ sK3 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b0 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b1 @ Y1))))))))))) & ((!! @ $i @ (^[Y0 : $i]: ((irel @ sK3 @ Y0) => (f @ Y0)))) | (~ $false))))) = $true) | (~spl0_1 | ~spl0_6)),
% 16.83/2.62 inference(superposition,[],[f637,f506])).
% 16.83/2.62 thf(f506,plain,(
% 16.83/2.62 ((!! @ $i @ (^[Y0 : $i]: ((irel @ sK3 @ Y0) => (a0 @ Y0)))) = $false) | ~spl0_6),
% 16.83/2.62 inference(not_proxy_clausification,[],[f468])).
% 16.83/2.62 thf(f1619,plain,(
% 16.83/2.62 (((irel @ sK2 @ sK13) => (((!! @ $i @ (^[Y0 : $i]: ((irel @ sK13 @ Y0) => (a0 @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ sK13 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a1 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b0 @ Y1))))))))))) & ((~ (!! @ $i @ (^[Y0 : $i]: ((irel @ sK13 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b0 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b1 @ Y1)))))))))) & ((!! @ $i @ (^[Y0 : $i]: ((irel @ sK13 @ Y0) => (f @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ sK13 @ Y0) => (a0 @ Y0))))))))) = $true) | (~spl0_1 | ~spl0_6)),
% 16.83/2.62 inference(boolean_simplification,[],[f1617])).
% 16.83/2.62 thf(f1617,plain,(
% 16.83/2.62 (((irel @ sK2 @ sK13) => (((!! @ $i @ (^[Y0 : $i]: ((irel @ sK13 @ Y0) => (a0 @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ sK13 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a1 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b0 @ Y1))))))))))) & (($false | (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ sK13 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b0 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b1 @ Y1))))))))))) & ((!! @ $i @ (^[Y0 : $i]: ((irel @ sK13 @ Y0) => (f @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ sK13 @ Y0) => (a0 @ Y0))))))))) = $true) | (~spl0_1 | ~spl0_6)),
% 16.83/2.62 inference(superposition,[],[f637,f1595])).
% 16.83/2.62 thf(f1595,plain,(
% 16.83/2.62 ($false = (!! @ $i @ (^[Y0 : $i]: ((irel @ sK13 @ Y0) => (a1 @ Y0))))) | (~spl0_1 | ~spl0_6)),
% 16.83/2.62 inference(boolean_simplification,[],[f1594])).
% 16.83/2.62 thf(f1594,plain,(
% 16.83/2.62 ($false = ((!! @ $i @ (^[Y0 : $i]: ((irel @ sK13 @ Y0) => (a1 @ Y0)))) | $false)) | (~spl0_1 | ~spl0_6)),
% 16.83/2.62 inference(backward_demodulation,[],[f1577,f1592])).
% 16.83/2.62 thf(f1592,plain,(
% 16.83/2.62 ($false = (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ sK13 @ Y0) => (b0 @ Y0)))))) | (~spl0_1 | ~spl0_6)),
% 16.83/2.62 inference(binary_proxy_clausification,[],[f1577])).
% 16.83/2.62 thf(f1577,plain,(
% 16.83/2.62 (((!! @ $i @ (^[Y0 : $i]: ((irel @ sK13 @ Y0) => (a1 @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ sK13 @ Y0) => (b0 @ Y0)))))) = $false) | (~spl0_1 | ~spl0_6)),
% 16.83/2.62 inference(boolean_simplification,[],[f1576])).
% 16.83/2.62 thf(f1576,plain,(
% 16.83/2.62 (($true => ((!! @ $i @ (^[Y0 : $i]: ((irel @ sK13 @ Y0) => (a1 @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ sK13 @ Y0) => (b0 @ Y0))))))) = $false) | (~spl0_1 | ~spl0_6)),
% 16.83/2.62 inference(backward_demodulation,[],[f1556,f1575])).
% 16.83/2.62 thf(f503,plain,(
% 16.83/2.62 ~spl0_2 | ~spl0_5),
% 16.83/2.62 inference(avatar_contradiction_clause,[],[f502])).
% 16.83/2.62 thf(f502,plain,(
% 16.83/2.62 $false | (~spl0_2 | ~spl0_5)),
% 16.83/2.62 inference(trivial_inequality_removal,[],[f501])).
% 16.83/2.62 thf(f501,plain,(
% 16.83/2.62 ($true = $false) | (~spl0_2 | ~spl0_5)),
% 16.83/2.62 inference(boolean_simplification,[],[f500])).
% 16.83/2.62 thf(f500,plain,(
% 16.83/2.62 ((~ $true) = $true) | (~spl0_2 | ~spl0_5)),
% 16.83/2.62 inference(forward_demodulation,[],[f495,f102])).
% 16.83/2.62 thf(f495,plain,(
% 16.83/2.62 ($true = (~ (irel @ sK3 @ sK3))) | (~spl0_2 | ~spl0_5)),
% 16.83/2.62 inference(boolean_simplification,[],[f493])).
% 16.83/2.62 thf(f493,plain,(
% 16.83/2.62 (((irel @ sK3 @ sK3) => $false) = $true) | (~spl0_2 | ~spl0_5)),
% 16.83/2.62 inference(superposition,[],[f487,f147])).
% 16.83/2.62 thf(f147,plain,(
% 16.83/2.62 ((f @ sK3) = $false) | ~spl0_2),
% 16.83/2.62 inference(boolean_simplification,[],[f146])).
% 16.83/2.62 thf(f146,plain,(
% 16.83/2.62 (($true => (f @ sK3)) = $false) | ~spl0_2),
% 16.83/2.62 inference(backward_demodulation,[],[f141,f145])).
% 16.83/2.62 thf(f145,plain,(
% 16.83/2.62 ((irel @ sK2 @ sK3) = $true) | ~spl0_2),
% 16.83/2.62 inference(binary_proxy_clausification,[],[f141])).
% 16.83/2.62 thf(f141,plain,(
% 16.83/2.62 ($false = ((irel @ sK2 @ sK3) => (f @ sK3))) | ~spl0_2),
% 16.83/2.62 inference(beta_eta_normalization,[],[f140])).
% 16.83/2.62 thf(f140,plain,(
% 16.83/2.62 (((^[Y0 : $i]: ((irel @ sK2 @ Y0) => (f @ Y0))) @ sK3) = $false) | ~spl0_2),
% 16.83/2.62 inference(sigma_clausification,[],[f134])).
% 16.83/2.62 thf(f134,plain,(
% 16.83/2.62 ((!! @ $i @ (^[Y0 : $i]: ((irel @ sK2 @ Y0) => (f @ Y0)))) = $false) | ~spl0_2),
% 16.83/2.62 inference(binary_proxy_clausification,[],[f129])).
% 16.83/2.62 thf(f487,plain,(
% 16.83/2.62 ( ! [X1 : $i] : (($true = ((irel @ sK3 @ X1) => (f @ X1)))) ) | ~spl0_5),
% 16.83/2.62 inference(beta_eta_normalization,[],[f485])).
% 16.83/2.62 thf(f485,plain,(
% 16.83/2.62 ( ! [X1 : $i] : ((((^[Y0 : $i]: ((irel @ sK3 @ Y0) => (f @ Y0))) @ X1) = $true)) ) | ~spl0_5),
% 16.83/2.62 inference(pi_clausification,[],[f465])).
% 16.83/2.62 thf(f469,plain,(
% 16.83/2.62 spl0_5 | spl0_6 | ~spl0_2),
% 16.83/2.62 inference(avatar_split_clause,[],[f460,f128,f467,f464])).
% 16.83/2.62 thf(f460,plain,(
% 16.83/2.62 ((~ (!! @ $i @ (^[Y0 : $i]: ((irel @ sK3 @ Y0) => (a0 @ Y0))))) = $true) | ($true = (!! @ $i @ (^[Y0 : $i]: ((irel @ sK3 @ Y0) => (f @ Y0))))) | ~spl0_2),
% 16.83/2.62 inference(binary_proxy_clausification,[],[f453])).
% 16.83/2.62 thf(f453,plain,(
% 16.83/2.62 (((!! @ $i @ (^[Y0 : $i]: ((irel @ sK3 @ Y0) => (f @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ sK3 @ Y0) => (a0 @ Y0)))))) = $true) | ~spl0_2),
% 16.83/2.62 inference(boolean_simplification,[],[f452])).
% 16.83/2.62 thf(f452,plain,(
% 16.83/2.62 ((((!! @ $i @ (^[Y0 : $i]: ((irel @ sK3 @ Y0) => (f @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ sK3 @ Y0) => (a0 @ Y0)))))) & $true) = $true) | ~spl0_2),
% 16.83/2.62 inference(backward_demodulation,[],[f166,f448])).
% 16.83/2.62 thf(f448,plain,(
% 16.83/2.62 ((((!! @ $i @ (^[Y0 : $i]: ((irel @ sK3 @ Y0) => (a1 @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ sK3 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b0 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b1 @ Y1))))))))))) & ((!! @ $i @ (^[Y0 : $i]: ((irel @ sK3 @ Y0) => (a0 @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ sK3 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a1 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b0 @ Y1)))))))))))) = $true) | ~spl0_2),
% 16.83/2.62 inference(binary_proxy_clausification,[],[f166])).
% 16.83/2.62 thf(f166,plain,(
% 16.83/2.62 ((((!! @ $i @ (^[Y0 : $i]: ((irel @ sK3 @ Y0) => (f @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ sK3 @ Y0) => (a0 @ Y0)))))) & (((!! @ $i @ (^[Y0 : $i]: ((irel @ sK3 @ Y0) => (a1 @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ sK3 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b0 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b1 @ Y1))))))))))) & ((!! @ $i @ (^[Y0 : $i]: ((irel @ sK3 @ Y0) => (a0 @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ sK3 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a1 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b0 @ Y1))))))))))))) = $true) | ~spl0_2),
% 16.83/2.62 inference(boolean_simplification,[],[f161])).
% 16.83/2.62 thf(f161,plain,(
% 16.83/2.62 ($true = ($true => (((!! @ $i @ (^[Y0 : $i]: ((irel @ sK3 @ Y0) => (f @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ sK3 @ Y0) => (a0 @ Y0)))))) & (((!! @ $i @ (^[Y0 : $i]: ((irel @ sK3 @ Y0) => (a1 @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ sK3 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b0 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b1 @ Y1))))))))))) & ((!! @ $i @ (^[Y0 : $i]: ((irel @ sK3 @ Y0) => (a0 @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ sK3 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a1 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b0 @ Y1))))))))))))))) | ~spl0_2),
% 16.83/2.62 inference(superposition,[],[f143,f145])).
% 16.83/2.62 thf(f143,plain,(
% 16.83/2.62 ( ! [X1 : $i] : (($true = ((irel @ sK2 @ X1) => (((!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => (f @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => (a0 @ Y0)))))) & (((!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => (a1 @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ X1 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b0 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (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)))))))))))))))) ) | ~spl0_2),
% 16.83/2.62 inference(beta_eta_normalization,[],[f142])).
% 16.83/2.62 thf(f142,plain,(
% 16.83/2.62 ( ! [X1 : $i] : ((((^[Y0 : $i]: ((irel @ sK2 @ Y0) => (((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (f @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a0 @ Y1)))))) & (((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a1 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => ((!! @ $i @ (^[Y2 : $i]: ((irel @ Y1 @ Y2) => (b0 @ Y2)))) | (~ (!! @ $i @ (^[Y2 : $i]: ((irel @ Y1 @ Y2) => (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))))))))))))))) @ X1) = $true)) ) | ~spl0_2),
% 16.83/2.62 inference(pi_clausification,[],[f137])).
% 16.83/2.62 thf(f137,plain,(
% 16.83/2.62 ($true = (!! @ $i @ (^[Y0 : $i]: ((irel @ sK2 @ Y0) => (((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (f @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a0 @ Y1)))))) & (((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a1 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => ((!! @ $i @ (^[Y2 : $i]: ((irel @ Y1 @ Y2) => (b0 @ Y2)))) | (~ (!! @ $i @ (^[Y2 : $i]: ((irel @ Y1 @ Y2) => (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))))))))))))))))) | ~spl0_2),
% 16.83/2.62 inference(not_proxy_clausification,[],[f136])).
% 16.83/2.62 thf(f136,plain,(
% 16.83/2.62 ((~ (!! @ $i @ (^[Y0 : $i]: ((irel @ sK2 @ Y0) => (((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (f @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a0 @ Y1)))))) & (((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a1 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => ((!! @ $i @ (^[Y2 : $i]: ((irel @ Y1 @ Y2) => (b0 @ Y2)))) | (~ (!! @ $i @ (^[Y2 : $i]: ((irel @ Y1 @ Y2) => (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))))))))))))))))) = $false) | ~spl0_2),
% 16.83/2.62 inference(boolean_simplification,[],[f135])).
% 16.83/2.62 thf(f135,plain,(
% 16.83/2.62 (($false | (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ sK2 @ Y0) => (((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (f @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a0 @ Y1)))))) & (((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a1 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => ((!! @ $i @ (^[Y2 : $i]: ((irel @ Y1 @ Y2) => (b0 @ Y2)))) | (~ (!! @ $i @ (^[Y2 : $i]: ((irel @ Y1 @ Y2) => (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)))))))))))))))))) = $false) | ~spl0_2),
% 16.83/2.62 inference(backward_demodulation,[],[f129,f134])).
% 16.83/2.62 thf(f201,plain,(
% 16.83/2.62 spl0_3 | spl0_4 | ~spl0_2),
% 16.83/2.62 inference(avatar_split_clause,[],[f186,f128,f199,f196])).
% 16.83/2.62 thf(f186,plain,(
% 16.83/2.62 ($true = (!! @ $i @ (^[Y0 : $i]: ((irel @ sK2 @ Y0) => (a1 @ Y0))))) | ((~ (!! @ $i @ (^[Y0 : $i]: ((irel @ sK2 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b0 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b1 @ Y1)))))))))) = $true) | ~spl0_2),
% 16.83/2.62 inference(binary_proxy_clausification,[],[f174])).
% 16.83/2.62 thf(f174,plain,(
% 16.83/2.62 (((!! @ $i @ (^[Y0 : $i]: ((irel @ sK2 @ Y0) => (a1 @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ sK2 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b0 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b1 @ Y1))))))))))) = $true) | ~spl0_2),
% 16.83/2.62 inference(boolean_simplification,[],[f173])).
% 16.83/2.62 thf(f173,plain,(
% 16.83/2.62 ((((!! @ $i @ (^[Y0 : $i]: ((irel @ sK2 @ Y0) => (a1 @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ sK2 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b0 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b1 @ Y1))))))))))) & $true) = $true) | ~spl0_2),
% 16.83/2.62 inference(backward_demodulation,[],[f160,f169])).
% 16.83/2.62 thf(f169,plain,(
% 16.83/2.62 (((!! @ $i @ (^[Y0 : $i]: ((irel @ sK2 @ Y0) => (a0 @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ sK2 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a1 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b0 @ Y1))))))))))) = $true) | ~spl0_2),
% 16.83/2.62 inference(binary_proxy_clausification,[],[f160])).
% 16.83/2.62 thf(f160,plain,(
% 16.83/2.62 ($true = (((!! @ $i @ (^[Y0 : $i]: ((irel @ sK2 @ Y0) => (a1 @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ sK2 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b0 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b1 @ Y1))))))))))) & ((!! @ $i @ (^[Y0 : $i]: ((irel @ sK2 @ Y0) => (a0 @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ sK2 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a1 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b0 @ Y1))))))))))))) | ~spl0_2),
% 16.83/2.62 inference(boolean_simplification,[],[f159])).
% 16.83/2.62 thf(f159,plain,(
% 16.83/2.62 (($true & (((!! @ $i @ (^[Y0 : $i]: ((irel @ sK2 @ Y0) => (a1 @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ sK2 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b0 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b1 @ Y1))))))))))) & ((!! @ $i @ (^[Y0 : $i]: ((irel @ sK2 @ Y0) => (a0 @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ sK2 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a1 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b0 @ Y1))))))))))))) = $true) | ~spl0_2),
% 16.83/2.62 inference(backward_demodulation,[],[f154,f158])).
% 16.83/2.62 thf(f158,plain,(
% 16.83/2.62 ($true = (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ sK2 @ Y0) => (a0 @ Y0)))))) | ~spl0_2),
% 16.83/2.62 inference(binary_proxy_clausification,[],[f154])).
% 16.83/2.62 thf(f154,plain,(
% 16.83/2.62 (((~ (!! @ $i @ (^[Y0 : $i]: ((irel @ sK2 @ Y0) => (a0 @ Y0))))) & (((!! @ $i @ (^[Y0 : $i]: ((irel @ sK2 @ Y0) => (a1 @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ sK2 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b0 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b1 @ Y1))))))))))) & ((!! @ $i @ (^[Y0 : $i]: ((irel @ sK2 @ Y0) => (a0 @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ sK2 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a1 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b0 @ Y1))))))))))))) = $true) | ~spl0_2),
% 16.83/2.62 inference(boolean_simplification,[],[f153])).
% 16.83/2.62 thf(f153,plain,(
% 16.83/2.62 ((($false | (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ sK2 @ Y0) => (a0 @ Y0)))))) & (((!! @ $i @ (^[Y0 : $i]: ((irel @ sK2 @ Y0) => (a1 @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ sK2 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b0 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b1 @ Y1))))))))))) & ((!! @ $i @ (^[Y0 : $i]: ((irel @ sK2 @ Y0) => (a0 @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ sK2 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a1 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b0 @ Y1))))))))))))) = $true) | ~spl0_2),
% 16.83/2.62 inference(forward_demodulation,[],[f152,f134])).
% 16.83/2.62 thf(f152,plain,(
% 16.83/2.62 ((((!! @ $i @ (^[Y0 : $i]: ((irel @ sK2 @ Y0) => (f @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ sK2 @ Y0) => (a0 @ Y0)))))) & (((!! @ $i @ (^[Y0 : $i]: ((irel @ sK2 @ Y0) => (a1 @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ sK2 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b0 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b1 @ Y1))))))))))) & ((!! @ $i @ (^[Y0 : $i]: ((irel @ sK2 @ Y0) => (a0 @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ sK2 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a1 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b0 @ Y1))))))))))))) = $true) | ~spl0_2),
% 16.83/2.62 inference(boolean_simplification,[],[f150])).
% 16.83/2.62 thf(f150,plain,(
% 16.83/2.62 (($true => (((!! @ $i @ (^[Y0 : $i]: ((irel @ sK2 @ Y0) => (f @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ sK2 @ Y0) => (a0 @ Y0)))))) & (((!! @ $i @ (^[Y0 : $i]: ((irel @ sK2 @ Y0) => (a1 @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ sK2 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b0 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b1 @ Y1))))))))))) & ((!! @ $i @ (^[Y0 : $i]: ((irel @ sK2 @ Y0) => (a0 @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ sK2 @ Y0) => ((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a1 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (b0 @ Y1)))))))))))))) = $true) | ~spl0_2),
% 16.83/2.62 inference(superposition,[],[f143,f102])).
% 16.83/2.62 thf(f130,plain,(
% 16.83/2.62 spl0_1 | spl0_2),
% 16.83/2.62 inference(avatar_split_clause,[],[f123,f128,f125])).
% 16.83/2.62 thf(f123,plain,(
% 16.83/2.62 ($false = ((!! @ $i @ (^[Y0 : $i]: ((irel @ sK2 @ Y0) => (f @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ sK2 @ Y0) => (((!! @ $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) => (b0 @ Y2)))) | (~ (!! @ $i @ (^[Y2 : $i]: ((irel @ Y1 @ Y2) => (b1 @ Y2))))))))))) & ((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (f @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a0 @ Y1)))))))))))))) | (((!! @ $i @ (^[Y0 : $i]: ((irel @ sK2 @ Y0) => (f @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ sK2 @ Y0) => (((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (f @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a0 @ Y1)))))) & (((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a1 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => ((!! @ $i @ (^[Y2 : $i]: ((irel @ Y1 @ Y2) => (b0 @ Y2)))) | (~ (!! @ $i @ (^[Y2 : $i]: ((irel @ Y1 @ Y2) => (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)))))))))))))))))) = $false)),
% 16.83/2.62 inference(binary_proxy_clausification,[],[f122])).
% 16.83/2.62 thf(f122,plain,(
% 16.83/2.62 ($false = (((!! @ $i @ (^[Y0 : $i]: ((irel @ sK2 @ Y0) => (f @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ sK2 @ Y0) => (((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (f @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a0 @ Y1)))))) & (((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a1 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => ((!! @ $i @ (^[Y2 : $i]: ((irel @ Y1 @ Y2) => (b0 @ Y2)))) | (~ (!! @ $i @ (^[Y2 : $i]: ((irel @ Y1 @ Y2) => (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 @ (^[Y0 : $i]: ((irel @ sK2 @ Y0) => (f @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((irel @ sK2 @ Y0) => (((!! @ $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) => (b0 @ Y2)))) | (~ (!! @ $i @ (^[Y2 : $i]: ((irel @ Y1 @ Y2) => (b1 @ Y2))))))))))) & ((!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (f @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (a0 @ Y1)))))))))))))))),
% 16.83/2.62 inference(beta_eta_normalization,[],[f121])).
% 16.83/2.62 thf(f121,plain,(
% 16.83/2.62 (((^[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) => (a1 @ Y2)))) | (~ (!! @ $i @ (^[Y2 : $i]: ((irel @ Y1 @ Y2) => ((!! @ $i @ (^[Y3 : $i]: ((irel @ Y2 @ Y3) => (b0 @ 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 @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (f @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (((!! @ $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) => (b0 @ Y3)))) | (~ (!! @ $i @ (^[Y3 : $i]: ((irel @ Y2 @ Y3) => (b1 @ Y3))))))))))) & ((!! @ $i @ (^[Y2 : $i]: ((irel @ Y1 @ Y2) => (f @ Y2)))) | (~ (!! @ $i @ (^[Y2 : $i]: ((irel @ Y1 @ Y2) => (a0 @ Y2))))))))))))))) @ sK2) = $false)),
% 16.83/2.62 inference(sigma_clausification,[],[f118])).
% 16.83/2.62 thf(f118,plain,(
% 16.83/2.62 ((!! @ $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) => (a1 @ Y2)))) | (~ (!! @ $i @ (^[Y2 : $i]: ((irel @ Y1 @ Y2) => ((!! @ $i @ (^[Y3 : $i]: ((irel @ Y2 @ Y3) => (b0 @ 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 @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (f @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (((!! @ $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) => (b0 @ Y3)))) | (~ (!! @ $i @ (^[Y3 : $i]: ((irel @ Y2 @ Y3) => (b1 @ Y3))))))))))) & ((!! @ $i @ (^[Y2 : $i]: ((irel @ Y1 @ Y2) => (f @ Y2)))) | (~ (!! @ $i @ (^[Y2 : $i]: ((irel @ Y1 @ Y2) => (a0 @ Y2)))))))))))))))) = $false)),
% 16.83/2.62 inference(not_proxy_clausification,[],[f100])).
% 16.83/2.62 thf(f100,plain,(
% 16.83/2.62 ($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) => (a1 @ Y2)))) | (~ (!! @ $i @ (^[Y2 : $i]: ((irel @ Y1 @ Y2) => ((!! @ $i @ (^[Y3 : $i]: ((irel @ Y2 @ Y3) => (b0 @ 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 @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (f @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((irel @ Y0 @ Y1) => (((!! @ $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) => (b0 @ Y3)))) | (~ (!! @ $i @ (^[Y3 : $i]: ((irel @ Y2 @ Y3) => (b1 @ Y3))))))))))) & ((!! @ $i @ (^[Y2 : $i]: ((irel @ Y1 @ Y2) => (f @ Y2)))) | (~ (!! @ $i @ (^[Y2 : $i]: ((irel @ Y1 @ Y2) => (a0 @ Y2))))))))))))))))))),
% 16.83/2.62 inference(beta_eta_normalization,[],[f99])).
% 16.83/2.62 thf(f99,plain,(
% 16.83/2.62 ((~ ((^[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]: (!! @ $i @ (^[Y4 : $i]: ((irel @ Y3 @ Y4) => (Y2 @ Y4))))))) @ Y0) @ ((^[Y2 : $i > $o]: ((^[Y3 : $i]: (!! @ $i @ (^[Y4 : $i]: ((irel @ Y3 @ Y4) => (Y2 @ Y4))))))) @ Y1))))) @ ((^[Y0 : $i > $o]: (Y0)) @ b1) @ ((^[Y0 : $i > $o]: (Y0)) @ b0)) @ ((^[Y0 : $i > $o]: (Y0)) @ a1)) @ ((^[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]: (!! @ $i @ (^[Y4 : $i]: ((irel @ Y3 @ Y4) => (Y2 @ Y4))))))) @ Y0) @ ((^[Y2 : $i > $o]: ((^[Y3 : $i]: (!! @ $i @ (^[Y4 : $i]: ((irel @ Y3 @ Y4) => (Y2 @ Y4))))))) @ Y1))))) @ ((^[Y0 : $i > $o]: (Y0)) @ b0) @ ((^[Y0 : $i > $o]: (Y0)) @ a1)) @ ((^[Y0 : $i > $o]: (Y0)) @ a0)))) @ ((^[Y0 : $i > $o]: (Y0)) @ f)) @ ((^[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]: ((^[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)) @ b0) @ ((^[Y0 : $i > $o]: (Y0)) @ a1)) @ ((^[Y0 : $i > $o]: (Y0)) @ a0)) @ ((^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i > $o]: ((^[Y3 : $i > $o]: ((^[Y4 : $i]: ((Y2 @ Y4) & (Y3 @ Y4))))))) @ Y0 @ Y1)))) @ ((^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i > $o]: ((^[Y3 : $i > $o]: ((^[Y4 : $i > $o]: ((^[Y5 : $i > $o]: ((^[Y6 : $i]: ((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]: (!! @ $i @ (^[Y4 : $i]: ((irel @ Y3 @ Y4) => (Y2 @ Y4))))))) @ Y0) @ ((^[Y2 : $i > $o]: ((^[Y3 : $i]: (!! @ $i @ (^[Y4 : $i]: ((irel @ Y3 @ Y4) => (Y2 @ Y4))))))) @ Y1))))) @ ((^[Y0 : $i > $o]: (Y0)) @ b1) @ ((^[Y0 : $i > $o]: (Y0)) @ b0)) @ ((^[Y0 : $i > $o]: (Y0)) @ a1)) @ ((^[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]: (Y0)) @ f))))) = $true)),
% 16.83/2.62 inference(definition_unfolding,[],[f80,f85,f93,f95,f93,f95,f72,f72,f93,f95,f95,f72,f72,f72,f95,f95,f72,f72,f72,f72,f95,f93,f95,f95,f72,f72,f72,f93,f95,f95,f72,f72,f72,f95,f72,f72,f72])).
% 16.83/2.62 thf(f72,plain,(
% 16.83/2.62 (iatom = (^[Y0 : $i > $o]: (Y0)))),
% 16.83/2.62 inference(cnf_transformation,[],[f43])).
% 16.83/2.62 thf(f43,plain,(
% 16.83/2.62 (iatom = (^[Y0 : $i > $o]: (Y0)))),
% 16.83/2.62 inference(fool_elimination,[],[f42])).
% 16.83/2.62 thf(f42,plain,(
% 16.83/2.62 ((^[X0 : $i > $o] : (X0)) = iatom)),
% 16.83/2.62 inference(rectify,[],[f8])).
% 16.83/2.62 thf(f8,axiom,(
% 16.83/2.62 ((^[X5 : $i > $o] : (X5)) = iatom)),
% 16.83/2.62 file('/export/starexec/sandbox/benchmark/theBenchmark.p',iatom)).
% 16.83/2.62 thf(f95,plain,(
% 16.83/2.62 (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))))))),
% 16.83/2.62 inference(definition_unfolding,[],[f75,f90,f89,f89])).
% 16.83/2.62 thf(f89,plain,(
% 16.83/2.62 (mbox_s4 = (^[Y0 : $i > $o]: ((^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((irel @ Y1 @ Y2) => (Y0 @ Y2))))))))),
% 16.83/2.62 inference(cnf_transformation,[],[f32])).
% 16.83/2.62 thf(f32,plain,(
% 16.83/2.62 (mbox_s4 = (^[Y0 : $i > $o]: ((^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((irel @ Y1 @ Y2) => (Y0 @ Y2))))))))),
% 16.83/2.62 inference(fool_elimination,[],[f31])).
% 16.83/2.62 thf(f31,plain,(
% 16.83/2.62 ((^[X0 : $i > $o, X1 : $i] : (! [X2] : ((irel @ X1 @ X2) => (X0 @ X2)))) = mbox_s4)),
% 16.83/2.62 inference(rectify,[],[f7])).
% 16.83/2.62 thf(f7,axiom,(
% 16.83/2.62 ((^[X5 : $i > $o, X0 : $i] : (! [X1] : ((irel @ X0 @ X1) => (X5 @ X1)))) = mbox_s4)),
% 16.83/2.62 file('/export/starexec/sandbox/benchmark/theBenchmark.p',mbox_s4)).
% 16.83/2.62 thf(f90,plain,(
% 16.83/2.62 (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)))))),
% 16.83/2.62 inference(definition_unfolding,[],[f84,f83,f69])).
% 16.83/2.62 thf(f69,plain,(
% 16.83/2.62 (mnot = (^[Y0 : $i > $o]: ((^[Y1 : $i]: (~ (Y0 @ Y1))))))),
% 16.83/2.62 inference(cnf_transformation,[],[f47])).
% 16.83/2.62 thf(f47,plain,(
% 16.83/2.62 (mnot = (^[Y0 : $i > $o]: ((^[Y1 : $i]: (~ (Y0 @ Y1))))))),
% 16.83/2.62 inference(fool_elimination,[],[f46])).
% 16.83/2.62 thf(f46,plain,(
% 16.83/2.62 ((^[X0 : $i > $o, X1 : $i] : (~(X0 @ X1))) = mnot)),
% 16.83/2.62 inference(rectify,[],[f3])).
% 16.83/2.62 thf(f3,axiom,(
% 16.83/2.62 ((^[X0 : $i > $o, X3 : $i] : (~(X0 @ X3))) = mnot)),
% 16.83/2.62 file('/export/starexec/sandbox/benchmark/theBenchmark.p',mnot)).
% 16.83/2.62 thf(f83,plain,(
% 16.83/2.62 (mor = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: ((Y1 @ Y2) | (Y0 @ Y2))))))))),
% 16.83/2.62 inference(cnf_transformation,[],[f30])).
% 16.83/2.62 thf(f30,plain,(
% 16.83/2.62 (mor = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: ((Y1 @ Y2) | (Y0 @ Y2))))))))),
% 16.83/2.62 inference(fool_elimination,[],[f29])).
% 16.83/2.62 thf(f29,plain,(
% 16.83/2.62 ((^[X0 : $i > $o, X1 : $i > $o, X2 : $i] : ((X0 @ X2) | (X1 @ X2))) = mor)),
% 16.83/2.62 inference(rectify,[],[f4])).
% 16.83/2.62 thf(f4,axiom,(
% 16.83/2.62 ((^[X0 : $i > $o, X1 : $i > $o, X3 : $i] : ((X0 @ X3) | (X1 @ X3))) = mor)),
% 16.83/2.62 file('/export/starexec/sandbox/benchmark/theBenchmark.p',mor)).
% 16.83/2.62 thf(f84,plain,(
% 16.83/2.62 (mimplies = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (mor @ (mnot @ Y0) @ Y1)))))),
% 16.83/2.62 inference(cnf_transformation,[],[f36])).
% 16.83/2.62 thf(f36,plain,(
% 16.83/2.62 (mimplies = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (mor @ (mnot @ Y0) @ Y1)))))),
% 16.83/2.62 inference(fool_elimination,[],[f35])).
% 16.83/2.62 thf(f35,plain,(
% 16.83/2.62 ((^[X0 : $i > $o, X1 : $i > $o] : (mor @ (mnot @ X0) @ X1)) = mimplies)),
% 16.83/2.62 inference(rectify,[],[f6])).
% 16.83/2.62 thf(f6,axiom,(
% 16.83/2.62 ((^[X3 : $i > $o, X4 : $i > $o] : (mor @ (mnot @ X3) @ X4)) = mimplies)),
% 16.83/2.62 file('/export/starexec/sandbox/benchmark/theBenchmark.p',mimplies)).
% 16.83/2.62 thf(f75,plain,(
% 16.83/2.62 (iimplies = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (mimplies @ (mbox_s4 @ Y0) @ (mbox_s4 @ Y1))))))),
% 16.83/2.62 inference(cnf_transformation,[],[f26])).
% 16.83/2.62 thf(f26,plain,(
% 16.83/2.62 (iimplies = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (mimplies @ (mbox_s4 @ Y0) @ (mbox_s4 @ Y1))))))),
% 16.83/2.62 inference(fool_elimination,[],[f25])).
% 16.83/2.62 thf(f25,plain,(
% 16.83/2.62 (iimplies = (^[X0 : $i > $o, X1 : $i > $o] : (mimplies @ (mbox_s4 @ X0) @ (mbox_s4 @ X1))))),
% 16.83/2.62 inference(rectify,[],[f14])).
% 16.83/2.62 thf(f14,axiom,(
% 16.83/2.62 (iimplies = (^[X5 : $i > $o, X7 : $i > $o] : (mimplies @ (mbox_s4 @ X5) @ (mbox_s4 @ X7))))),
% 16.83/2.62 file('/export/starexec/sandbox/benchmark/theBenchmark.p',iimplies)).
% 16.83/2.62 thf(f93,plain,(
% 16.83/2.62 (iand = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i > $o]: ((^[Y3 : $i > $o]: ((^[Y4 : $i]: ((Y2 @ Y4) & (Y3 @ Y4))))))) @ Y0 @ Y1)))))),
% 16.83/2.62 inference(definition_unfolding,[],[f73,f87])).
% 16.83/2.62 thf(f87,plain,(
% 16.83/2.62 (mand = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: ((Y0 @ Y2) & (Y1 @ Y2))))))))),
% 16.83/2.62 inference(cnf_transformation,[],[f53])).
% 16.83/2.62 thf(f53,plain,(
% 16.83/2.62 (mand = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: ((Y0 @ Y2) & (Y1 @ Y2))))))))),
% 16.83/2.62 inference(fool_elimination,[],[f52])).
% 16.83/2.62 thf(f52,plain,(
% 16.83/2.62 (mand = (^[X0 : $i > $o, X1 : $i > $o, X2 : $i] : ((X1 @ X2) & (X0 @ X2))))),
% 16.83/2.62 inference(rectify,[],[f5])).
% 16.83/2.62 thf(f5,axiom,(
% 16.83/2.62 (mand = (^[X0 : $i > $o, X1 : $i > $o, X3 : $i] : ((X1 @ X3) & (X0 @ X3))))),
% 16.83/2.62 file('/export/starexec/sandbox/benchmark/theBenchmark.p',mand)).
% 16.83/2.62 thf(f73,plain,(
% 16.83/2.62 (iand = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (mand @ Y0 @ Y1)))))),
% 16.83/2.62 inference(cnf_transformation,[],[f49])).
% 16.83/2.62 thf(f49,plain,(
% 16.83/2.62 (iand = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (mand @ Y0 @ Y1)))))),
% 16.83/2.62 inference(fool_elimination,[],[f48])).
% 16.83/2.62 thf(f48,plain,(
% 16.83/2.62 ((^[X0 : $i > $o, X1 : $i > $o] : (mand @ X0 @ X1)) = iand)),
% 16.83/2.62 inference(rectify,[],[f12])).
% 16.83/2.62 thf(f12,axiom,(
% 16.83/2.62 ((^[X5 : $i > $o, X7 : $i > $o] : (mand @ X5 @ X7)) = iand)),
% 16.83/2.62 file('/export/starexec/sandbox/benchmark/theBenchmark.p',iand)).
% 16.83/2.62 thf(f85,plain,(
% 16.83/2.62 (ivalid = (^[Y0 : $i > $o]: (!! @ $i @ (^[Y1 : $i]: (Y0 @ Y1)))))),
% 16.83/2.62 inference(cnf_transformation,[],[f38])).
% 16.83/2.62 thf(f38,plain,(
% 16.83/2.62 (ivalid = (^[Y0 : $i > $o]: (!! @ $i @ (^[Y1 : $i]: (Y0 @ Y1)))))),
% 16.83/2.62 inference(fool_elimination,[],[f37])).
% 16.83/2.62 thf(f37,plain,(
% 16.83/2.62 ((^[X0 : $i > $o] : (! [X1] : (X0 @ X1))) = ivalid)),
% 16.83/2.62 inference(rectify,[],[f18])).
% 16.83/2.62 thf(f18,axiom,(
% 16.83/2.62 ((^[X8 : $i > $o] : (! [X6] : (X8 @ X6))) = ivalid)),
% 16.83/2.62 file('/export/starexec/sandbox/benchmark/theBenchmark.p',ivalid)).
% 16.83/2.62 thf(f80,plain,(
% 16.83/2.62 ($true = (~ (ivalid @ (iand @ (iimplies @ (iand @ (iimplies @ (iatom @ a0) @ (iatom @ f)) @ (iand @ (iimplies @ (iimplies @ (iatom @ b1) @ (iatom @ b0)) @ (iatom @ a1)) @ (iimplies @ (iimplies @ (iatom @ b0) @ (iatom @ a1)) @ (iatom @ a0)))) @ (iatom @ f)) @ (iimplies @ (iand @ (iimplies @ (iimplies @ (iatom @ b0) @ (iatom @ a1)) @ (iatom @ a0)) @ (iand @ (iimplies @ (iimplies @ (iatom @ b1) @ (iatom @ b0)) @ (iatom @ a1)) @ (iimplies @ (iatom @ a0) @ (iatom @ f)))) @ (iatom @ f))))))),
% 16.83/2.62 inference(cnf_transformation,[],[f57])).
% 16.83/2.62 thf(f57,plain,(
% 16.83/2.62 ($true = (~ (ivalid @ (iand @ (iimplies @ (iand @ (iimplies @ (iatom @ a0) @ (iatom @ f)) @ (iand @ (iimplies @ (iimplies @ (iatom @ b1) @ (iatom @ b0)) @ (iatom @ a1)) @ (iimplies @ (iimplies @ (iatom @ b0) @ (iatom @ a1)) @ (iatom @ a0)))) @ (iatom @ f)) @ (iimplies @ (iand @ (iimplies @ (iimplies @ (iatom @ b0) @ (iatom @ a1)) @ (iatom @ a0)) @ (iand @ (iimplies @ (iimplies @ (iatom @ b1) @ (iatom @ b0)) @ (iatom @ a1)) @ (iimplies @ (iatom @ a0) @ (iatom @ f)))) @ (iatom @ f))))))),
% 16.83/2.62 inference(fool_elimination,[],[f56])).
% 16.83/2.62 thf(f56,plain,(
% 16.83/2.62 ~(ivalid @ (iand @ (iimplies @ (iand @ (iimplies @ (iatom @ a0) @ (iatom @ f)) @ (iand @ (iimplies @ (iimplies @ (iatom @ b1) @ (iatom @ b0)) @ (iatom @ a1)) @ (iimplies @ (iimplies @ (iatom @ b0) @ (iatom @ a1)) @ (iatom @ a0)))) @ (iatom @ f)) @ (iimplies @ (iand @ (iimplies @ (iimplies @ (iatom @ b0) @ (iatom @ a1)) @ (iatom @ a0)) @ (iand @ (iimplies @ (iimplies @ (iatom @ b1) @ (iatom @ b0)) @ (iatom @ a1)) @ (iimplies @ (iatom @ a0) @ (iatom @ f)))) @ (iatom @ f))))),
% 16.83/2.62 inference(rectify,[],[f23])).
% 16.83/2.62 thf(f23,negated_conjecture,(
% 16.83/2.62 ~(ivalid @ (iand @ (iimplies @ (iand @ (iimplies @ (iatom @ a0) @ (iatom @ f)) @ (iand @ (iimplies @ (iimplies @ (iatom @ b1) @ (iatom @ b0)) @ (iatom @ a1)) @ (iimplies @ (iimplies @ (iatom @ b0) @ (iatom @ a1)) @ (iatom @ a0)))) @ (iatom @ f)) @ (iimplies @ (iand @ (iimplies @ (iimplies @ (iatom @ b0) @ (iatom @ a1)) @ (iatom @ a0)) @ (iand @ (iimplies @ (iimplies @ (iatom @ b1) @ (iatom @ b0)) @ (iatom @ a1)) @ (iimplies @ (iatom @ a0) @ (iatom @ f)))) @ (iatom @ f))))),
% 16.83/2.62 inference(negated_conjecture,[],[f22])).
% 16.83/2.62 thf(f22,conjecture,(
% 16.83/2.62 (ivalid @ (iand @ (iimplies @ (iand @ (iimplies @ (iatom @ a0) @ (iatom @ f)) @ (iand @ (iimplies @ (iimplies @ (iatom @ b1) @ (iatom @ b0)) @ (iatom @ a1)) @ (iimplies @ (iimplies @ (iatom @ b0) @ (iatom @ a1)) @ (iatom @ a0)))) @ (iatom @ f)) @ (iimplies @ (iand @ (iimplies @ (iimplies @ (iatom @ b0) @ (iatom @ a1)) @ (iatom @ a0)) @ (iand @ (iimplies @ (iimplies @ (iatom @ b1) @ (iatom @ b0)) @ (iatom @ a1)) @ (iimplies @ (iatom @ a0) @ (iatom @ f)))) @ (iatom @ f))))),
% 16.83/2.62 file('/export/starexec/sandbox/benchmark/theBenchmark.p',con)).
% 16.83/2.62 % SZS output end Proof for theBenchmark
% 16.83/2.62 % (13854)------------------------------
% 16.83/2.62 % (13854)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 16.83/2.62 % (13854)Termination reason: Refutation
% 16.83/2.62
% 16.83/2.62 % (13854)Memory used [KB]: 17142
% 16.83/2.62 % (13854)Time elapsed: 1.563 s
% 16.83/2.62 % (13854)Instructions burned: 4634 (million)
% 16.83/2.62 % (13854)------------------------------
% 16.83/2.62 % (13854)------------------------------
% 16.83/2.62 % (13754)Success in time 2.245 s
% 16.83/2.62 % Vampire---4.8 exiting
%------------------------------------------------------------------------------